TSTP Solution File: SYN723+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 09:05:01 EDT 2022
% Result : Theorem 8.77s 8.95s
% Output : CNFRefutation 8.94s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(thm138,conjecture,
( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
<=> ( ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
<=> ( ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
<=> ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) ) ) ) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_0
<=> ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ? [Y] : ~ p(Y) ) ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_1
<=> ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ! [Y] : q(Y) ) ) ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_10
<=> ( ? [X] : p(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ) ) ) ) ).
fof(definition_3,definition,
( definitionFOFtoCNF_11
<=> ( ~ definitionFOFtoCNF_10
<=> ( ? [X] : p(X)
<=> ? [X] : r(X) ) ) ) ).
fof(definition_4,definition,
( definitionFOFtoCNF_12
<=> ( ~ definitionFOFtoCNF_11
<=> ! [X] : ~ s(X) ) ) ).
fof(definition_5,definition,
( definitionFOFtoCNF_13
<=> ( ~ definitionFOFtoCNF_10
<=> ! [X] :
? [Y] :
( ~ q(X)
<=> q(Y) ) ) ) ).
fof(definition_6,definition,
! [X,Y] :
( definitionFOFtoCNF_14(X,Y)
<=> ( ~ r(X)
<=> r(Y) ) ) ).
fof(definition_7,definition,
( definitionFOFtoCNF_15
<=> ( ? [X] : p(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ) ) ) ) ).
fof(definition_8,definition,
( definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_15
<=> ( ? [X] : p(X)
<=> ? [X] : r(X) ) ) ) ).
fof(definition_9,definition,
( definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_16
<=> ! [X] : ~ s(X) ) ) ).
fof(definition_10,definition,
( definitionFOFtoCNF_18
<=> ( ~ definitionFOFtoCNF_15
<=> ! [X] :
? [Y] :
( ~ q(X)
<=> q(Y) ) ) ) ).
fof(definition_11,definition,
! [X,Y] :
( definitionFOFtoCNF_19(X,Y)
<=> ( ~ r(X)
<=> r(Y) ) ) ).
fof(definition_12,definition,
( definitionFOFtoCNF_2
<=> ( ~ definitionFOFtoCNF_1
<=> ! [X] : ~ p(X) ) ) ).
fof(definition_13,definition,
( definitionFOFtoCNF_20
<=> ( ? [X] : p(X)
<=> ( ? [X] : q(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ? [Y] : ~ r(Y) ) ) ) ) ) ) ) ).
fof(definition_14,definition,
( definitionFOFtoCNF_21
<=> ( ~ definitionFOFtoCNF_20
<=> ( ? [X] : p(X)
<=> ( ? [X] : q(X)
<=> ! [X] : ~ r(X) ) ) ) ) ).
fof(definition_15,definition,
( definitionFOFtoCNF_22
<=> ( ~ definitionFOFtoCNF_20
<=> definitionFOFtoCNF_21 ) ) ).
fof(definition_16,definition,
( definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_21
<=> ! [X] : ~ s(X) ) ) ).
fof(definition_17,definition,
( definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_20
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ? [Y] : ~ s(Y) ) ) ) ).
fof(definition_18,definition,
! [X,Y] :
( definitionFOFtoCNF_25(X,Y)
<=> ( ~ q(X)
<=> q(Y) ) ) ).
fof(definition_19,definition,
! [X,Y] :
( definitionFOFtoCNF_26(X,Y)
<=> ( ~ r(X)
<=> r(Y) ) ) ).
fof(definition_20,definition,
! [X,Y] :
( definitionFOFtoCNF_3(X,Y)
<=> ( ~ r(X)
<=> r(Y) ) ) ).
fof(definition_21,definition,
( definitionFOFtoCNF_4
<=> ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ! [Y] : q(Y) ) ) ) ) ).
fof(definition_22,definition,
( definitionFOFtoCNF_5
<=> ( ~ definitionFOFtoCNF_4
<=> ! [X] : ~ p(X) ) ) ).
fof(definition_23,definition,
! [X,Y] :
( definitionFOFtoCNF_6(X,Y)
<=> ( ~ r(X)
<=> r(Y) ) ) ).
fof(definition_24,definition,
( definitionFOFtoCNF_7
<=> ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ! [Y] : q(Y) ) ) ) ) ).
fof(definition_25,definition,
( definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_7
<=> ! [X] : ~ p(X) ) ) ).
fof(definition_26,definition,
! [X,Y] :
( definitionFOFtoCNF_9(X,Y)
<=> ( ~ r(X)
<=> r(Y) ) ) ).
fof(subgoal_0,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
& ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
& ? [X] : p(X) )
=> ! [Y] : q(Y) ),
inference(strip,[],[thm138]) ).
fof(subgoal_1,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
& ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
& ! [Y] : q(Y) )
=> ? [X] : p(X) ),
inference(strip,[],[thm138]) ).
fof(subgoal_2,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
& ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) )
=> ? [X] :
! [Y] :
( s(X)
<=> s(Y) ) ),
inference(strip,[],[thm138]) ).
fof(subgoal_3,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) )
& ? [X] : s(X) )
=> ! [Y] : p(Y) ),
inference(strip,[],[thm138]) ).
fof(subgoal_4,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) )
& ! [Y] : p(Y) )
=> ? [X] : s(X) ),
inference(strip,[],[thm138]) ).
fof(subgoal_5,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) )
=> ? [X] :
! [Y] :
( r(X)
<=> r(Y) ) ),
inference(strip,[],[thm138]) ).
fof(subgoal_6,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) )
& ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
& ? [X] : r(X) )
=> ! [Y] : s(Y) ),
inference(strip,[],[thm138]) ).
fof(subgoal_7,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) )
& ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
& ! [Y] : s(Y) )
=> ? [X] : r(X) ),
inference(strip,[],[thm138]) ).
fof(subgoal_8,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) )
& ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
=> ? [X] :
! [Y] :
( q(X)
<=> q(Y) ) ),
inference(strip,[],[thm138]) ).
fof(subgoal_9,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
<=> ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) ) )
& ? [X] : q(X) )
=> ! [Y] : r(Y) ),
inference(strip,[],[thm138]) ).
fof(subgoal_10,plain,
( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
<=> ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) ) )
& ! [Y] : r(Y) )
=> ? [X] : q(X) ),
inference(strip,[],[thm138]) ).
fof(subgoal_11,plain,
( ( ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
<=> ( ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
<=> ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) ) ) )
=> ? [X] :
! [Y] :
( p(X)
<=> p(Y) ) ),
inference(strip,[],[thm138]) ).
fof(negate_0_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
& ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
& ? [X] : p(X) )
=> ! [Y] : q(Y) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
& ? [X] : p(X)
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
& ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
& ? [Y] : ~ q(Y) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [Y] : ~ q(Y),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ q(skolemFOFtoCNF_Y_6),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [X,X0,Y,Y0] :
( ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y(X))
| ~ r(X0)
| s(Y) )
& ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_3(X))
| ~ s(skolemFOFtoCNF_Y_2)
| r(skolemFOFtoCNF_X_2) )
& ( ~ q(Y)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_1)
| q(skolemFOFtoCNF_X) )
& ( ~ q(Y)
| q(skolemFOFtoCNF_X_1)
| r(skolemFOFtoCNF_X_2)
| s(Y0) )
& ( ~ q(skolemFOFtoCNF_X)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_1)
| q(Y) )
& ( ~ q(skolemFOFtoCNF_X_1)
| q(Y)
| r(skolemFOFtoCNF_X_2)
| s(Y0) )
& ( ~ r(X0)
| q(X)
| q(skolemFOFtoCNF_Y(X))
| s(Y) )
& ( ~ s(skolemFOFtoCNF_Y_2)
| q(X)
| q(skolemFOFtoCNF_Y_3(X))
| r(skolemFOFtoCNF_X_2) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X0,Y] :
( ~ q(skolemFOFtoCNF_X)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_1)
| q(Y) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
( ? [X] : q(X)
<=> ! [Y] : r(Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ( ~ q(X)
| r(Y) )
& ( ~ r(skolemFOFtoCNF_Y_4)
| q(skolemFOFtoCNF_X_3) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
( ~ r(skolemFOFtoCNF_Y_4)
| q(skolemFOFtoCNF_X_3) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_10,plain,
! [Y] :
( ~ r(Y)
<=> ~ r(skolemFOFtoCNF_X_7) ),
inference(skolemize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [Y] :
( ~ r(Y)
<=> ~ r(skolemFOFtoCNF_X_7) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [Y] :
( ( ~ r(Y)
| r(skolemFOFtoCNF_X_7) )
& ( ~ r(skolemFOFtoCNF_X_7)
| r(Y) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [Y] :
( ~ r(skolemFOFtoCNF_X_7)
| r(Y) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [Y] :
( ~ r(Y)
| r(skolemFOFtoCNF_X_7) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ~ q(X)
| r(Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ s(skolemFOFtoCNF_Y_2)
| q(X)
| q(skolemFOFtoCNF_Y_3(X))
| r(skolemFOFtoCNF_X_2) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_17,plain,
? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_18,plain,
! [Y] :
( ~ s(Y)
<=> ~ s(skolemFOFtoCNF_X_8) ),
inference(skolemize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [Y] :
( ~ s(Y)
<=> ~ s(skolemFOFtoCNF_X_8) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [Y] :
( ( ~ s(Y)
| s(skolemFOFtoCNF_X_8) )
& ( ~ s(skolemFOFtoCNF_X_8)
| s(Y) ) ),
inference(clausify,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [Y] :
( ~ s(skolemFOFtoCNF_X_8)
| s(Y) ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [Y] :
( ~ s(Y)
| s(skolemFOFtoCNF_X_8) ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_23,plain,
( ? [X] : s(X)
<=> ! [Y] : p(Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_24,plain,
! [X,Y] :
( ( ~ p(skolemFOFtoCNF_Y_5)
| s(skolemFOFtoCNF_X_4) )
& ( ~ s(X)
| p(Y) ) ),
inference(clausify,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
( ~ p(skolemFOFtoCNF_Y_5)
| s(skolemFOFtoCNF_X_4) ),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_27,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_6) ),
inference(skolemize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_6) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [Y] :
( ( ~ p(Y)
| p(skolemFOFtoCNF_X_6) )
& ( ~ p(skolemFOFtoCNF_X_6)
| p(Y) ) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_X_6)
| p(Y) ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
? [X] : p(X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_32,plain,
p(skolemFOFtoCNF_X_5),
inference(skolemize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [Y] :
( ~ p(Y)
| p(skolemFOFtoCNF_X_6) ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_34,plain,
! [X0,Y] :
( ~ q(Y)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_1)
| q(skolemFOFtoCNF_X) ),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
~ q(skolemFOFtoCNF_Y_6),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ q(skolemFOFtoCNF_X)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_1)
| q(Y) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ r(skolemFOFtoCNF_Y_4)
| q(skolemFOFtoCNF_X_3) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_3,plain,
( ~ r(skolemFOFtoCNF_X_7)
| r(Y) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_4,plain,
( ~ r(Y)
| r(skolemFOFtoCNF_X_7) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_5,plain,
( ~ r(skolemFOFtoCNF_X_2)
| r(skolemFOFtoCNF_X_7) ),
inference(subst,[],[refute_0_4:[bind(Y,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_0_6,plain,
( ~ q(X)
| r(Y) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_7,plain,
( ~ q(X_9)
| r(Y) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_8,plain,
( ~ q(skolemFOFtoCNF_Y_3(X_8))
| r(Y) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_Y_3(X_8)))]]) ).
cnf(refute_0_9,plain,
( ~ s(skolemFOFtoCNF_Y_2)
| q(X)
| q(skolemFOFtoCNF_Y_3(X))
| r(skolemFOFtoCNF_X_2) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_10,plain,
( ~ s(skolemFOFtoCNF_X_8)
| s(Y) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_11,plain,
( ~ s(Y)
| s(skolemFOFtoCNF_X_8) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_12,plain,
( ~ s(skolemFOFtoCNF_X_4)
| s(skolemFOFtoCNF_X_8) ),
inference(subst,[],[refute_0_11:[bind(Y,$fot(skolemFOFtoCNF_X_4))]]) ).
cnf(refute_0_13,plain,
( ~ p(skolemFOFtoCNF_Y_5)
| s(skolemFOFtoCNF_X_4) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_14,plain,
( ~ p(skolemFOFtoCNF_X_6)
| p(Y) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_15,plain,
p(skolemFOFtoCNF_X_5),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_16,plain,
( ~ p(Y)
| p(skolemFOFtoCNF_X_6) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_17,plain,
( ~ p(skolemFOFtoCNF_X_5)
| p(skolemFOFtoCNF_X_6) ),
inference(subst,[],[refute_0_16:[bind(Y,$fot(skolemFOFtoCNF_X_5))]]) ).
cnf(refute_0_18,plain,
p(skolemFOFtoCNF_X_6),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_5) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
p(Y),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_6) )],[refute_0_18,refute_0_14]) ).
cnf(refute_0_20,plain,
p(skolemFOFtoCNF_Y_5),
inference(subst,[],[refute_0_19:[bind(Y,$fot(skolemFOFtoCNF_Y_5))]]) ).
cnf(refute_0_21,plain,
s(skolemFOFtoCNF_X_4),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_5) )],[refute_0_20,refute_0_13]) ).
cnf(refute_0_22,plain,
s(skolemFOFtoCNF_X_8),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_4) )],[refute_0_21,refute_0_12]) ).
cnf(refute_0_23,plain,
s(Y),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_8) )],[refute_0_22,refute_0_10]) ).
cnf(refute_0_24,plain,
s(skolemFOFtoCNF_Y_2),
inference(subst,[],[refute_0_23:[bind(Y,$fot(skolemFOFtoCNF_Y_2))]]) ).
cnf(refute_0_25,plain,
( q(X)
| q(skolemFOFtoCNF_Y_3(X))
| r(skolemFOFtoCNF_X_2) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_2) )],[refute_0_24,refute_0_9]) ).
cnf(refute_0_26,plain,
( q(X_8)
| q(skolemFOFtoCNF_Y_3(X_8))
| r(skolemFOFtoCNF_X_2) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_27,plain,
( q(X_8)
| r(Y)
| r(skolemFOFtoCNF_X_2) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_3(X_8)) )],[refute_0_26,refute_0_8]) ).
cnf(refute_0_28,plain,
( q(X_9)
| r(skolemFOFtoCNF_X_2) ),
inference(subst,[],[refute_0_27:[bind(Y,$fot(skolemFOFtoCNF_X_2)),bind(X_8,$fot(X_9))]]) ).
cnf(refute_0_29,plain,
( r(Y)
| r(skolemFOFtoCNF_X_2) ),
inference(resolve,[$cnf( q(X_9) )],[refute_0_28,refute_0_7]) ).
cnf(refute_0_30,plain,
r(skolemFOFtoCNF_X_2),
inference(subst,[],[refute_0_29:[bind(Y,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_0_31,plain,
r(skolemFOFtoCNF_X_7),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_2) )],[refute_0_30,refute_0_5]) ).
cnf(refute_0_32,plain,
r(Y),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_7) )],[refute_0_31,refute_0_3]) ).
cnf(refute_0_33,plain,
r(skolemFOFtoCNF_Y_4),
inference(subst,[],[refute_0_32:[bind(Y,$fot(skolemFOFtoCNF_Y_4))]]) ).
cnf(refute_0_34,plain,
q(skolemFOFtoCNF_X_3),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_4) )],[refute_0_33,refute_0_2]) ).
cnf(refute_0_35,plain,
( ~ q(Y)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_1)
| q(skolemFOFtoCNF_X) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_36,plain,
r(X0),
inference(subst,[],[refute_0_32:[bind(Y,$fot(X0))]]) ).
cnf(refute_0_37,plain,
( ~ q(Y)
| ~ s(skolemFOFtoCNF_Y_1)
| q(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r(X0) )],[refute_0_36,refute_0_35]) ).
cnf(refute_0_38,plain,
s(skolemFOFtoCNF_Y_1),
inference(subst,[],[refute_0_23:[bind(Y,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_0_39,plain,
( ~ q(Y)
| q(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_1) )],[refute_0_38,refute_0_37]) ).
cnf(refute_0_40,plain,
( ~ q(skolemFOFtoCNF_X_3)
| q(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_39:[bind(Y,$fot(skolemFOFtoCNF_X_3))]]) ).
cnf(refute_0_41,plain,
q(skolemFOFtoCNF_X),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_3) )],[refute_0_34,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_1)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X) )],[refute_0_41,refute_0_1]) ).
cnf(refute_0_43,plain,
( ~ s(skolemFOFtoCNF_Y_1)
| q(Y) ),
inference(resolve,[$cnf( r(X0) )],[refute_0_36,refute_0_42]) ).
cnf(refute_0_44,plain,
q(Y),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_1) )],[refute_0_38,refute_0_43]) ).
cnf(refute_0_45,plain,
q(skolemFOFtoCNF_Y_6),
inference(subst,[],[refute_0_44:[bind(Y,$fot(skolemFOFtoCNF_Y_6))]]) ).
cnf(refute_0_46,plain,
$false,
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_6) )],[refute_0_45,refute_0_0]) ).
fof(negate_1_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
& ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
& ! [Y] : q(Y) )
=> ? [X] : p(X) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
& ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
& ! [X] : ~ p(X)
& ! [Y] : q(Y) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [X,X0,Y,Y0] :
( ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_10(X))
| ~ s(skolemFOFtoCNF_Y_9)
| r(skolemFOFtoCNF_X_11) )
& ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_7(X))
| ~ r(X0)
| s(Y) )
& ( ~ q(Y)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_8)
| q(skolemFOFtoCNF_X_9) )
& ( ~ q(Y)
| q(skolemFOFtoCNF_X_10)
| r(skolemFOFtoCNF_X_11)
| s(Y0) )
& ( ~ q(skolemFOFtoCNF_X_10)
| q(Y)
| r(skolemFOFtoCNF_X_11)
| s(Y0) )
& ( ~ q(skolemFOFtoCNF_X_9)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_8)
| q(Y) )
& ( ~ r(X0)
| q(X)
| q(skolemFOFtoCNF_Y_7(X))
| s(Y) )
& ( ~ s(skolemFOFtoCNF_Y_9)
| q(X)
| q(skolemFOFtoCNF_Y_10(X))
| r(skolemFOFtoCNF_X_11) ) ),
inference(clausify,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [X,X0,Y] :
( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_7(X))
| ~ r(X0)
| s(Y) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [Y] : q(Y),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_5,plain,
! [Y] : q(Y),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
( ? [X] : q(X)
<=> ! [Y] : r(Y) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_7,plain,
! [X,Y] :
( ( ~ q(X)
| r(Y) )
& ( ~ r(skolemFOFtoCNF_Y_11)
| q(skolemFOFtoCNF_X_12) ) ),
inference(clausify,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
! [X,Y] :
( ~ q(X)
| r(Y) ),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
( ? [X] : s(X)
<=> ! [Y] : p(Y) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_10,plain,
! [X,Y] :
( ( ~ p(skolemFOFtoCNF_Y_12)
| s(skolemFOFtoCNF_X_13) )
& ( ~ s(X)
| p(Y) ) ),
inference(clausify,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [X,Y] :
( ~ s(X)
| p(Y) ),
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [X] : ~ p(X),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_13,plain,
! [X] : ~ p(X),
inference(specialize,[],[normalize_1_12]) ).
cnf(refute_1_0,plain,
( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_7(X))
| ~ r(X0)
| s(Y) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
q(Y),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_2,plain,
q(X),
inference(subst,[],[refute_1_1:[bind(Y,$fot(X))]]) ).
cnf(refute_1_3,plain,
( ~ q(skolemFOFtoCNF_Y_7(X))
| ~ r(X0)
| s(Y) ),
inference(resolve,[$cnf( q(X) )],[refute_1_2,refute_1_0]) ).
cnf(refute_1_4,plain,
q(skolemFOFtoCNF_Y_7(X)),
inference(subst,[],[refute_1_1:[bind(Y,$fot(skolemFOFtoCNF_Y_7(X)))]]) ).
cnf(refute_1_5,plain,
( ~ r(X0)
| s(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_7(X)) )],[refute_1_4,refute_1_3]) ).
cnf(refute_1_6,plain,
( ~ q(X)
| r(Y) ),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_7,plain,
r(Y),
inference(resolve,[$cnf( q(X) )],[refute_1_2,refute_1_6]) ).
cnf(refute_1_8,plain,
r(X0),
inference(subst,[],[refute_1_7:[bind(Y,$fot(X0))]]) ).
cnf(refute_1_9,plain,
s(Y),
inference(resolve,[$cnf( r(X0) )],[refute_1_8,refute_1_5]) ).
cnf(refute_1_10,plain,
( ~ s(X)
| p(Y) ),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_11,plain,
~ p(X),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_12,plain,
~ p(Y),
inference(subst,[],[refute_1_11:[bind(X,$fot(Y))]]) ).
cnf(refute_1_13,plain,
~ s(X),
inference(resolve,[$cnf( p(Y) )],[refute_1_10,refute_1_12]) ).
cnf(refute_1_14,plain,
~ s(Y),
inference(subst,[],[refute_1_13:[bind(X,$fot(Y))]]) ).
cnf(refute_1_15,plain,
$false,
inference(resolve,[$cnf( s(Y) )],[refute_1_9,refute_1_14]) ).
fof(negate_2_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
& ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) )
=> ? [X] :
! [Y] :
( s(X)
<=> s(Y) ) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( ( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) )
& ( ? [X] : p(X)
<=> ! [Y] : q(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
& ! [X] :
? [Y] :
( ~ s(X)
<=> s(Y) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
! [X] :
? [Y] :
( ~ s(X)
<=> s(Y) ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
! [X] :
? [Y] :
( ~ s(X)
<=> s(Y) ),
inference(specialize,[],[normalize_2_1]) ).
fof(normalize_2_3,plain,
! [X] :
( ~ s(X)
<=> s(skolemFOFtoCNF_Y_19(X)) ),
inference(skolemize,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
! [X] :
( ( ~ s(X)
| ~ s(skolemFOFtoCNF_Y_19(X)) )
& ( s(X)
| s(skolemFOFtoCNF_Y_19(X)) ) ),
inference(clausify,[],[normalize_2_3]) ).
fof(normalize_2_5,plain,
! [X] :
( ~ s(X)
| ~ s(skolemFOFtoCNF_Y_19(X)) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_6,plain,
( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_7,plain,
! [X,X0,Y,Y0] :
( ( ~ q(X0)
| ~ q(skolemFOFtoCNF_Y_14(X0))
| ~ r(X)
| s(Y) )
& ( ~ q(X0)
| ~ q(skolemFOFtoCNF_Y_14(X0))
| ~ s(skolemFOFtoCNF_Y_13)
| r(skolemFOFtoCNF_X_17) )
& ( ~ q(Y0)
| ~ r(X)
| ~ s(skolemFOFtoCNF_Y_15)
| q(skolemFOFtoCNF_X_19) )
& ( ~ q(Y0)
| q(skolemFOFtoCNF_X_19)
| r(skolemFOFtoCNF_X_18)
| s(Y) )
& ( ~ q(skolemFOFtoCNF_X_19)
| ~ r(X)
| ~ s(skolemFOFtoCNF_Y_15)
| q(Y0) )
& ( ~ q(skolemFOFtoCNF_X_19)
| q(Y0)
| r(skolemFOFtoCNF_X_18)
| s(Y) )
& ( ~ r(X)
| q(X0)
| q(skolemFOFtoCNF_Y_14(X0))
| s(Y) )
& ( ~ s(skolemFOFtoCNF_Y_13)
| q(X0)
| q(skolemFOFtoCNF_Y_14(X0))
| r(skolemFOFtoCNF_X_17) ) ),
inference(clausify,[],[normalize_2_6]) ).
fof(normalize_2_8,plain,
! [X,X0,Y] :
( ~ q(X0)
| ~ q(skolemFOFtoCNF_Y_14(X0))
| ~ r(X)
| s(Y) ),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_9,plain,
( ? [X] : p(X)
<=> ! [Y] : q(Y) ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_10,plain,
! [X,Y] :
( ( ~ p(X)
| q(Y) )
& ( ~ q(skolemFOFtoCNF_Y_16)
| p(skolemFOFtoCNF_X_20) ) ),
inference(clausify,[],[normalize_2_9]) ).
fof(normalize_2_11,plain,
! [X,Y] :
( ~ p(X)
| q(Y) ),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_12,plain,
( ? [X] : s(X)
<=> ! [Y] : p(Y) ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_13,plain,
! [X,Y] :
( ( ~ p(skolemFOFtoCNF_Y_18)
| s(skolemFOFtoCNF_X_22) )
& ( ~ s(X)
| p(Y) ) ),
inference(clausify,[],[normalize_2_12]) ).
fof(normalize_2_14,plain,
! [X,Y] :
( ~ s(X)
| p(Y) ),
inference(conjunct,[],[normalize_2_13]) ).
fof(normalize_2_15,plain,
! [X] :
( s(X)
| s(skolemFOFtoCNF_Y_19(X)) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_16,plain,
( ? [X] : q(X)
<=> ! [Y] : r(Y) ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_17,plain,
! [X,Y] :
( ( ~ q(X)
| r(Y) )
& ( ~ r(skolemFOFtoCNF_Y_17)
| q(skolemFOFtoCNF_X_21) ) ),
inference(clausify,[],[normalize_2_16]) ).
fof(normalize_2_18,plain,
! [X,Y] :
( ~ q(X)
| r(Y) ),
inference(conjunct,[],[normalize_2_17]) ).
cnf(refute_2_0,plain,
( ~ s(X)
| ~ s(skolemFOFtoCNF_Y_19(X)) ),
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_1,plain,
( ~ q(X0)
| ~ q(skolemFOFtoCNF_Y_14(X0))
| ~ r(X)
| s(Y) ),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_2,plain,
( ~ p(X)
| q(Y) ),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_3,plain,
( ~ p(X_27)
| q(Y) ),
inference(subst,[],[refute_2_2:[bind(X,$fot(X_27))]]) ).
cnf(refute_2_4,plain,
( ~ s(X)
| p(Y) ),
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_5,plain,
( ~ s(X_25)
| p(Y) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(X_25))]]) ).
cnf(refute_2_6,plain,
( s(X)
| s(skolemFOFtoCNF_Y_19(X)) ),
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_7,plain,
( ~ s(skolemFOFtoCNF_Y_19(X))
| p(X_24) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(skolemFOFtoCNF_Y_19(X))),bind(Y,$fot(X_24))]]) ).
cnf(refute_2_8,plain,
( p(X_24)
| s(X) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_19(X)) )],[refute_2_6,refute_2_7]) ).
cnf(refute_2_9,plain,
( p(X_26)
| s(X_25) ),
inference(subst,[],[refute_2_8:[bind(X,$fot(X_25)),bind(X_24,$fot(X_26))]]) ).
cnf(refute_2_10,plain,
( p(Y)
| p(X_26) ),
inference(resolve,[$cnf( s(X_25) )],[refute_2_9,refute_2_5]) ).
cnf(refute_2_11,plain,
p(X_27),
inference(subst,[],[refute_2_10:[bind(Y,$fot(X_27)),bind(X_26,$fot(X_27))]]) ).
cnf(refute_2_12,plain,
q(Y),
inference(resolve,[$cnf( p(X_27) )],[refute_2_11,refute_2_3]) ).
cnf(refute_2_13,plain,
q(X0),
inference(subst,[],[refute_2_12:[bind(Y,$fot(X0))]]) ).
cnf(refute_2_14,plain,
( ~ q(skolemFOFtoCNF_Y_14(X0))
| ~ r(X)
| s(Y) ),
inference(resolve,[$cnf( q(X0) )],[refute_2_13,refute_2_1]) ).
cnf(refute_2_15,plain,
q(skolemFOFtoCNF_Y_14(X0)),
inference(subst,[],[refute_2_12:[bind(Y,$fot(skolemFOFtoCNF_Y_14(X0)))]]) ).
cnf(refute_2_16,plain,
( ~ r(X)
| s(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_14(X0)) )],[refute_2_15,refute_2_14]) ).
cnf(refute_2_17,plain,
( ~ q(X)
| r(Y) ),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_18,plain,
( ~ q(X_28)
| r(Y) ),
inference(subst,[],[refute_2_17:[bind(X,$fot(X_28))]]) ).
cnf(refute_2_19,plain,
q(X_28),
inference(subst,[],[refute_2_12:[bind(Y,$fot(X_28))]]) ).
cnf(refute_2_20,plain,
r(Y),
inference(resolve,[$cnf( q(X_28) )],[refute_2_19,refute_2_18]) ).
cnf(refute_2_21,plain,
r(X),
inference(subst,[],[refute_2_20:[bind(Y,$fot(X))]]) ).
cnf(refute_2_22,plain,
s(Y),
inference(resolve,[$cnf( r(X) )],[refute_2_21,refute_2_16]) ).
cnf(refute_2_23,plain,
s(skolemFOFtoCNF_Y_19(X)),
inference(subst,[],[refute_2_22:[bind(Y,$fot(skolemFOFtoCNF_Y_19(X)))]]) ).
cnf(refute_2_24,plain,
~ s(X),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_19(X)) )],[refute_2_23,refute_2_0]) ).
cnf(refute_2_25,plain,
s(X),
inference(subst,[],[refute_2_22:[bind(Y,$fot(X))]]) ).
cnf(refute_2_26,plain,
$false,
inference(resolve,[$cnf( s(X) )],[refute_2_25,refute_2_24]) ).
fof(negate_3_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) )
& ? [X] : s(X) )
=> ! [Y] : p(Y) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( ( ? [X] : p(X)
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ! [Y] : q(Y) ) )
& ( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ? [X] : s(X)
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
& ? [Y] : ~ p(Y) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
? [Y] : ~ p(Y),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
~ p(skolemFOFtoCNF_Y_28),
inference(skolemize,[],[normalize_3_1]) ).
fof(normalize_3_3,plain,
? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_4,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_33) ),
inference(skolemize,[],[normalize_3_3]) ).
fof(normalize_3_5,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_33) ),
inference(specialize,[],[normalize_3_4]) ).
fof(normalize_3_6,plain,
! [Y] :
( ( ~ p(Y)
| p(skolemFOFtoCNF_X_33) )
& ( ~ p(skolemFOFtoCNF_X_33)
| p(Y) ) ),
inference(clausify,[],[normalize_3_5]) ).
fof(normalize_3_7,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_X_33)
| p(Y) ),
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_8,plain,
! [Y] :
( ~ p(Y)
| p(skolemFOFtoCNF_X_33) ),
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_9,plain,
( ? [X] : q(X)
<=> ! [Y] : r(Y) ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_10,plain,
! [X,Y] :
( ( ~ q(X)
| r(Y) )
& ( ~ r(skolemFOFtoCNF_Y_27)
| q(skolemFOFtoCNF_X_31) ) ),
inference(clausify,[],[normalize_3_9]) ).
fof(normalize_3_11,plain,
( ~ r(skolemFOFtoCNF_Y_27)
| q(skolemFOFtoCNF_X_31) ),
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_12,plain,
? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_13,plain,
! [Y] :
( ~ r(Y)
<=> ~ r(skolemFOFtoCNF_X_34) ),
inference(skolemize,[],[normalize_3_12]) ).
fof(normalize_3_14,plain,
! [Y] :
( ~ r(Y)
<=> ~ r(skolemFOFtoCNF_X_34) ),
inference(specialize,[],[normalize_3_13]) ).
fof(normalize_3_15,plain,
! [Y] :
( ( ~ r(Y)
| r(skolemFOFtoCNF_X_34) )
& ( ~ r(skolemFOFtoCNF_X_34)
| r(Y) ) ),
inference(clausify,[],[normalize_3_14]) ).
fof(normalize_3_16,plain,
! [Y] :
( ~ r(skolemFOFtoCNF_X_34)
| r(Y) ),
inference(conjunct,[],[normalize_3_15]) ).
fof(normalize_3_17,plain,
! [Y] :
( ~ r(Y)
| r(skolemFOFtoCNF_X_34) ),
inference(conjunct,[],[normalize_3_15]) ).
fof(normalize_3_18,plain,
! [X,Y] :
( ~ q(X)
| r(Y) ),
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_19,plain,
( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_20,plain,
! [X,X0,Y,Y0] :
( ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_23(X))
| ~ r(X0)
| s(Y) )
& ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_26(X))
| ~ s(skolemFOFtoCNF_Y_25)
| r(skolemFOFtoCNF_X_30) )
& ( ~ q(Y)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_24)
| q(skolemFOFtoCNF_X_28) )
& ( ~ q(Y)
| q(skolemFOFtoCNF_X_29)
| r(skolemFOFtoCNF_X_30)
| s(Y0) )
& ( ~ q(skolemFOFtoCNF_X_28)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_24)
| q(Y) )
& ( ~ q(skolemFOFtoCNF_X_29)
| q(Y)
| r(skolemFOFtoCNF_X_30)
| s(Y0) )
& ( ~ r(X0)
| q(X)
| q(skolemFOFtoCNF_Y_23(X))
| s(Y) )
& ( ~ s(skolemFOFtoCNF_Y_25)
| q(X)
| q(skolemFOFtoCNF_Y_26(X))
| r(skolemFOFtoCNF_X_30) ) ),
inference(clausify,[],[normalize_3_19]) ).
fof(normalize_3_21,plain,
! [X] :
( ~ s(skolemFOFtoCNF_Y_25)
| q(X)
| q(skolemFOFtoCNF_Y_26(X))
| r(skolemFOFtoCNF_X_30) ),
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_22,plain,
? [X] : s(X),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_23,plain,
s(skolemFOFtoCNF_X_32),
inference(skolemize,[],[normalize_3_22]) ).
fof(normalize_3_24,plain,
( ? [X] : p(X)
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ! [Y] : q(Y) ) ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_25,plain,
! [X,X0,Y,Y0] :
( ( ~ p(X)
| ~ q(skolemFOFtoCNF_Y_22)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_27) )
& ( ~ p(X)
| ~ q(skolemFOFtoCNF_Y_22)
| ~ s(skolemFOFtoCNF_X_27)
| s(Y0) )
& ( ~ p(X)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_21(X0))
| q(Y) )
& ( ~ p(X)
| q(Y)
| s(X0)
| s(skolemFOFtoCNF_Y_21(X0)) )
& ( ~ q(skolemFOFtoCNF_Y_20)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_21(X0))
| p(skolemFOFtoCNF_X_25) )
& ( ~ q(skolemFOFtoCNF_Y_20)
| p(skolemFOFtoCNF_X_25)
| s(X0)
| s(skolemFOFtoCNF_Y_21(X0)) )
& ( ~ s(Y0)
| p(skolemFOFtoCNF_X_26)
| q(Y)
| s(skolemFOFtoCNF_X_27) )
& ( ~ s(skolemFOFtoCNF_X_27)
| p(skolemFOFtoCNF_X_26)
| q(Y)
| s(Y0) ) ),
inference(clausify,[],[normalize_3_24]) ).
fof(normalize_3_26,plain,
! [Y,Y0] :
( ~ s(Y0)
| p(skolemFOFtoCNF_X_26)
| q(Y)
| s(skolemFOFtoCNF_X_27) ),
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_27,plain,
! [Y,Y0] :
( ~ s(skolemFOFtoCNF_X_27)
| p(skolemFOFtoCNF_X_26)
| q(Y)
| s(Y0) ),
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_28,plain,
! [X0,Y] :
( ~ q(Y)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_24)
| q(skolemFOFtoCNF_X_28) ),
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_29,plain,
! [X,X0,Y] :
( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_23(X))
| ~ r(X0)
| s(Y) ),
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_30,plain,
! [X0,Y] :
( ~ q(skolemFOFtoCNF_X_28)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_24)
| q(Y) ),
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_31,plain,
! [X0] :
( ~ q(skolemFOFtoCNF_Y_20)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_21(X0))
| p(skolemFOFtoCNF_X_25) ),
inference(conjunct,[],[normalize_3_25]) ).
cnf(refute_3_0,plain,
~ p(skolemFOFtoCNF_Y_28),
inference(canonicalize,[],[normalize_3_2]) ).
cnf(refute_3_1,plain,
( ~ p(skolemFOFtoCNF_X_33)
| p(Y) ),
inference(canonicalize,[],[normalize_3_7]) ).
cnf(refute_3_2,plain,
( ~ p(Y)
| p(skolemFOFtoCNF_X_33) ),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_3,plain,
( ~ p(skolemFOFtoCNF_X_25)
| p(skolemFOFtoCNF_X_33) ),
inference(subst,[],[refute_3_2:[bind(Y,$fot(skolemFOFtoCNF_X_25))]]) ).
cnf(refute_3_4,plain,
( ~ p(skolemFOFtoCNF_X_26)
| p(skolemFOFtoCNF_X_33) ),
inference(subst,[],[refute_3_2:[bind(Y,$fot(skolemFOFtoCNF_X_26))]]) ).
cnf(refute_3_5,plain,
( ~ r(skolemFOFtoCNF_Y_27)
| q(skolemFOFtoCNF_X_31) ),
inference(canonicalize,[],[normalize_3_11]) ).
cnf(refute_3_6,plain,
( ~ r(skolemFOFtoCNF_X_34)
| r(Y) ),
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_7,plain,
( ~ r(Y)
| r(skolemFOFtoCNF_X_34) ),
inference(canonicalize,[],[normalize_3_17]) ).
cnf(refute_3_8,plain,
( ~ r(skolemFOFtoCNF_X_30)
| r(skolemFOFtoCNF_X_34) ),
inference(subst,[],[refute_3_7:[bind(Y,$fot(skolemFOFtoCNF_X_30))]]) ).
cnf(refute_3_9,plain,
( ~ q(X)
| r(Y) ),
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_10,plain,
( ~ q(X_60)
| r(Y) ),
inference(subst,[],[refute_3_9:[bind(X,$fot(X_60))]]) ).
cnf(refute_3_11,plain,
( ~ q(skolemFOFtoCNF_Y_26(X_59))
| r(Y) ),
inference(subst,[],[refute_3_9:[bind(X,$fot(skolemFOFtoCNF_Y_26(X_59)))]]) ).
cnf(refute_3_12,plain,
( ~ s(skolemFOFtoCNF_Y_25)
| q(X)
| q(skolemFOFtoCNF_Y_26(X))
| r(skolemFOFtoCNF_X_30) ),
inference(canonicalize,[],[normalize_3_21]) ).
cnf(refute_3_13,plain,
s(skolemFOFtoCNF_X_32),
inference(canonicalize,[],[normalize_3_23]) ).
cnf(refute_3_14,plain,
( ~ s(Y0)
| p(skolemFOFtoCNF_X_26)
| q(Y)
| s(skolemFOFtoCNF_X_27) ),
inference(canonicalize,[],[normalize_3_26]) ).
cnf(refute_3_15,plain,
( ~ s(skolemFOFtoCNF_X_32)
| p(skolemFOFtoCNF_X_26)
| q(X_45)
| s(skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_14:[bind(Y,$fot(X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_32))]]) ).
cnf(refute_3_16,plain,
( p(skolemFOFtoCNF_X_26)
| q(X_45)
| s(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_32) )],[refute_3_13,refute_3_15]) ).
cnf(refute_3_17,plain,
( ~ s(skolemFOFtoCNF_X_27)
| p(skolemFOFtoCNF_X_26)
| q(Y)
| s(Y0) ),
inference(canonicalize,[],[normalize_3_27]) ).
cnf(refute_3_18,plain,
( ~ s(skolemFOFtoCNF_X_27)
| p(skolemFOFtoCNF_X_26)
| q(X_49)
| s(X_50) ),
inference(subst,[],[refute_3_17:[bind(Y,$fot(X_49)),bind(Y0,$fot(X_50))]]) ).
cnf(refute_3_19,plain,
( p(skolemFOFtoCNF_X_26)
| q(X_45)
| q(X_49)
| s(X_50) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_27) )],[refute_3_16,refute_3_18]) ).
cnf(refute_3_20,plain,
( p(skolemFOFtoCNF_X_26)
| q(X_51)
| s(skolemFOFtoCNF_Y_25) ),
inference(subst,[],[refute_3_19:[bind(X_45,$fot(X_51)),bind(X_49,$fot(X_51)),bind(X_50,$fot(skolemFOFtoCNF_Y_25))]]) ).
cnf(refute_3_21,plain,
( p(skolemFOFtoCNF_X_26)
| q(X)
| q(X_51)
| q(skolemFOFtoCNF_Y_26(X))
| r(skolemFOFtoCNF_X_30) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_25) )],[refute_3_20,refute_3_12]) ).
cnf(refute_3_22,plain,
( p(skolemFOFtoCNF_X_26)
| q(X_59)
| q(skolemFOFtoCNF_Y_26(X_59))
| r(skolemFOFtoCNF_X_30) ),
inference(subst,[],[refute_3_21:[bind(X,$fot(X_59)),bind(X_51,$fot(skolemFOFtoCNF_Y_26(X_59)))]]) ).
cnf(refute_3_23,plain,
( p(skolemFOFtoCNF_X_26)
| q(X_59)
| r(Y)
| r(skolemFOFtoCNF_X_30) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_26(X_59)) )],[refute_3_22,refute_3_11]) ).
cnf(refute_3_24,plain,
( p(skolemFOFtoCNF_X_26)
| q(X_60)
| r(skolemFOFtoCNF_X_30) ),
inference(subst,[],[refute_3_23:[bind(Y,$fot(skolemFOFtoCNF_X_30)),bind(X_59,$fot(X_60))]]) ).
cnf(refute_3_25,plain,
( p(skolemFOFtoCNF_X_26)
| r(Y)
| r(skolemFOFtoCNF_X_30) ),
inference(resolve,[$cnf( q(X_60) )],[refute_3_24,refute_3_10]) ).
cnf(refute_3_26,plain,
( p(skolemFOFtoCNF_X_26)
| r(skolemFOFtoCNF_X_30) ),
inference(subst,[],[refute_3_25:[bind(Y,$fot(skolemFOFtoCNF_X_30))]]) ).
cnf(refute_3_27,plain,
( p(skolemFOFtoCNF_X_26)
| r(skolemFOFtoCNF_X_34) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_30) )],[refute_3_26,refute_3_8]) ).
cnf(refute_3_28,plain,
( p(skolemFOFtoCNF_X_26)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_34) )],[refute_3_27,refute_3_6]) ).
cnf(refute_3_29,plain,
( p(skolemFOFtoCNF_X_26)
| r(skolemFOFtoCNF_Y_27) ),
inference(subst,[],[refute_3_28:[bind(Y,$fot(skolemFOFtoCNF_Y_27))]]) ).
cnf(refute_3_30,plain,
( p(skolemFOFtoCNF_X_26)
| q(skolemFOFtoCNF_X_31) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_27) )],[refute_3_29,refute_3_5]) ).
cnf(refute_3_31,plain,
( ~ q(Y)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_24)
| q(skolemFOFtoCNF_X_28) ),
inference(canonicalize,[],[normalize_3_28]) ).
cnf(refute_3_32,plain,
( ~ q(Y)
| ~ r(X_61)
| ~ s(skolemFOFtoCNF_Y_24)
| q(skolemFOFtoCNF_X_28) ),
inference(subst,[],[refute_3_31:[bind(X0,$fot(X_61))]]) ).
cnf(refute_3_33,plain,
( p(skolemFOFtoCNF_X_26)
| r(X_61) ),
inference(subst,[],[refute_3_28:[bind(Y,$fot(X_61))]]) ).
cnf(refute_3_34,plain,
( ~ q(Y)
| ~ s(skolemFOFtoCNF_Y_24)
| p(skolemFOFtoCNF_X_26)
| q(skolemFOFtoCNF_X_28) ),
inference(resolve,[$cnf( r(X_61) )],[refute_3_33,refute_3_32]) ).
cnf(refute_3_35,plain,
( p(skolemFOFtoCNF_X_26)
| q(skolemFOFtoCNF_Y_23(X_73))
| s(X_50) ),
inference(subst,[],[refute_3_19:[bind(X_45,$fot(skolemFOFtoCNF_Y_23(X_73))),bind(X_49,$fot(skolemFOFtoCNF_Y_23(X_73)))]]) ).
cnf(refute_3_36,plain,
( p(skolemFOFtoCNF_X_26)
| r(X_71) ),
inference(subst,[],[refute_3_28:[bind(Y,$fot(X_71))]]) ).
cnf(refute_3_37,plain,
( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_23(X))
| ~ r(X0)
| s(Y) ),
inference(canonicalize,[],[normalize_3_29]) ).
cnf(refute_3_38,plain,
( ~ q(X_70)
| ~ q(skolemFOFtoCNF_Y_23(X_70))
| ~ r(X_71)
| s(X_72) ),
inference(subst,[],[refute_3_37:[bind(X,$fot(X_70)),bind(X0,$fot(X_71)),bind(Y,$fot(X_72))]]) ).
cnf(refute_3_39,plain,
( ~ q(X_70)
| ~ q(skolemFOFtoCNF_Y_23(X_70))
| p(skolemFOFtoCNF_X_26)
| s(X_72) ),
inference(resolve,[$cnf( r(X_71) )],[refute_3_36,refute_3_38]) ).
cnf(refute_3_40,plain,
( ~ q(X_73)
| ~ q(skolemFOFtoCNF_Y_23(X_73))
| p(skolemFOFtoCNF_X_26)
| s(X_74) ),
inference(subst,[],[refute_3_39:[bind(X_70,$fot(X_73)),bind(X_72,$fot(X_74))]]) ).
cnf(refute_3_41,plain,
( ~ q(X_73)
| p(skolemFOFtoCNF_X_26)
| s(X_50)
| s(X_74) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_23(X_73)) )],[refute_3_35,refute_3_40]) ).
cnf(refute_3_42,plain,
( ~ q(skolemFOFtoCNF_X_31)
| p(skolemFOFtoCNF_X_26)
| s(X_78)
| s(X_80) ),
inference(subst,[],[refute_3_41:[bind(X_50,$fot(X_80)),bind(X_73,$fot(skolemFOFtoCNF_X_31)),bind(X_74,$fot(X_78))]]) ).
cnf(refute_3_43,plain,
( p(skolemFOFtoCNF_X_26)
| s(X_78)
| s(X_80) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_31) )],[refute_3_30,refute_3_42]) ).
cnf(refute_3_44,plain,
( p(skolemFOFtoCNF_X_26)
| s(skolemFOFtoCNF_Y_24) ),
inference(subst,[],[refute_3_43:[bind(X_78,$fot(skolemFOFtoCNF_Y_24)),bind(X_80,$fot(skolemFOFtoCNF_Y_24))]]) ).
cnf(refute_3_45,plain,
( ~ q(Y)
| p(skolemFOFtoCNF_X_26)
| q(skolemFOFtoCNF_X_28) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_24) )],[refute_3_44,refute_3_34]) ).
cnf(refute_3_46,plain,
( ~ q(skolemFOFtoCNF_X_31)
| p(skolemFOFtoCNF_X_26)
| q(skolemFOFtoCNF_X_28) ),
inference(subst,[],[refute_3_45:[bind(Y,$fot(skolemFOFtoCNF_X_31))]]) ).
cnf(refute_3_47,plain,
( p(skolemFOFtoCNF_X_26)
| q(skolemFOFtoCNF_X_28) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_31) )],[refute_3_30,refute_3_46]) ).
cnf(refute_3_48,plain,
( ~ q(skolemFOFtoCNF_X_28)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_24)
| q(Y) ),
inference(canonicalize,[],[normalize_3_30]) ).
cnf(refute_3_49,plain,
( ~ q(skolemFOFtoCNF_X_28)
| ~ r(X_61)
| ~ s(skolemFOFtoCNF_Y_24)
| q(Y) ),
inference(subst,[],[refute_3_48:[bind(X0,$fot(X_61))]]) ).
cnf(refute_3_50,plain,
( ~ q(skolemFOFtoCNF_X_28)
| ~ s(skolemFOFtoCNF_Y_24)
| p(skolemFOFtoCNF_X_26)
| q(Y) ),
inference(resolve,[$cnf( r(X_61) )],[refute_3_33,refute_3_49]) ).
cnf(refute_3_51,plain,
( ~ q(skolemFOFtoCNF_X_28)
| p(skolemFOFtoCNF_X_26)
| q(Y) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_24) )],[refute_3_44,refute_3_50]) ).
cnf(refute_3_52,plain,
( ~ q(skolemFOFtoCNF_X_28)
| p(skolemFOFtoCNF_X_26)
| q(X_83) ),
inference(subst,[],[refute_3_51:[bind(Y,$fot(X_83))]]) ).
cnf(refute_3_53,plain,
( p(skolemFOFtoCNF_X_26)
| q(X_83) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_28) )],[refute_3_47,refute_3_52]) ).
cnf(refute_3_54,plain,
( p(skolemFOFtoCNF_X_26)
| q(skolemFOFtoCNF_Y_20) ),
inference(subst,[],[refute_3_53:[bind(X_83,$fot(skolemFOFtoCNF_Y_20))]]) ).
cnf(refute_3_55,plain,
( ~ q(skolemFOFtoCNF_Y_20)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_21(X0))
| p(skolemFOFtoCNF_X_25) ),
inference(canonicalize,[],[normalize_3_31]) ).
cnf(refute_3_56,plain,
( p(skolemFOFtoCNF_X_26)
| s(skolemFOFtoCNF_Y_21(X0)) ),
inference(subst,[],[refute_3_43:[bind(X_78,$fot(skolemFOFtoCNF_Y_21(X0))),bind(X_80,$fot(skolemFOFtoCNF_Y_21(X0)))]]) ).
cnf(refute_3_57,plain,
( ~ q(skolemFOFtoCNF_Y_20)
| ~ s(X0)
| p(skolemFOFtoCNF_X_25)
| p(skolemFOFtoCNF_X_26) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_21(X0)) )],[refute_3_56,refute_3_55]) ).
cnf(refute_3_58,plain,
( ~ q(skolemFOFtoCNF_Y_20)
| ~ s(skolemFOFtoCNF_X_32)
| p(skolemFOFtoCNF_X_25)
| p(skolemFOFtoCNF_X_26) ),
inference(subst,[],[refute_3_57:[bind(X0,$fot(skolemFOFtoCNF_X_32))]]) ).
cnf(refute_3_59,plain,
( ~ q(skolemFOFtoCNF_Y_20)
| p(skolemFOFtoCNF_X_25)
| p(skolemFOFtoCNF_X_26) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_32) )],[refute_3_13,refute_3_58]) ).
cnf(refute_3_60,plain,
( p(skolemFOFtoCNF_X_25)
| p(skolemFOFtoCNF_X_26) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_20) )],[refute_3_54,refute_3_59]) ).
cnf(refute_3_61,plain,
( p(skolemFOFtoCNF_X_25)
| p(skolemFOFtoCNF_X_33) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_26) )],[refute_3_60,refute_3_4]) ).
cnf(refute_3_62,plain,
( p(Y)
| p(skolemFOFtoCNF_X_25) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_33) )],[refute_3_61,refute_3_1]) ).
cnf(refute_3_63,plain,
p(skolemFOFtoCNF_X_25),
inference(subst,[],[refute_3_62:[bind(Y,$fot(skolemFOFtoCNF_X_25))]]) ).
cnf(refute_3_64,plain,
p(skolemFOFtoCNF_X_33),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_25) )],[refute_3_63,refute_3_3]) ).
cnf(refute_3_65,plain,
p(Y),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_33) )],[refute_3_64,refute_3_1]) ).
cnf(refute_3_66,plain,
p(skolemFOFtoCNF_Y_28),
inference(subst,[],[refute_3_65:[bind(Y,$fot(skolemFOFtoCNF_Y_28))]]) ).
cnf(refute_3_67,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_28) )],[refute_3_66,refute_3_0]) ).
fof(negate_4_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
& ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) )
& ! [Y] : p(Y) )
=> ? [X] : s(X) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( ( ? [X] : p(X)
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ! [Y] : q(Y) ) )
& ( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
& ! [X] : ~ s(X)
& ! [Y] : p(Y) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_1,plain,
( ? [X] : q(X)
<=> ! [Y] : r(Y) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
! [X,Y] :
( ( ~ q(X)
| r(Y) )
& ( ~ r(skolemFOFtoCNF_Y_36)
| q(skolemFOFtoCNF_X_42) ) ),
inference(clausify,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
! [X,Y] :
( ~ q(X)
| r(Y) ),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
( ? [X] : p(X)
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ! [Y] : q(Y) ) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_5,plain,
! [X,X0,Y,Y0] :
( ( ~ p(X)
| ~ q(skolemFOFtoCNF_Y_31)
| ~ s(Y)
| s(skolemFOFtoCNF_X_37) )
& ( ~ p(X)
| ~ q(skolemFOFtoCNF_Y_31)
| ~ s(skolemFOFtoCNF_X_37)
| s(Y) )
& ( ~ p(X)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_29(X0))
| q(Y0) )
& ( ~ p(X)
| q(Y0)
| s(X0)
| s(skolemFOFtoCNF_Y_29(X0)) )
& ( ~ q(skolemFOFtoCNF_Y_31)
| ~ s(X)
| ~ s(skolemFOFtoCNF_Y_30(X))
| p(skolemFOFtoCNF_X_38) )
& ( ~ q(skolemFOFtoCNF_Y_31)
| p(skolemFOFtoCNF_X_38)
| s(X)
| s(skolemFOFtoCNF_Y_30(X)) )
& ( ~ s(Y)
| p(skolemFOFtoCNF_X_35)
| q(Y0)
| s(skolemFOFtoCNF_X_36) )
& ( ~ s(skolemFOFtoCNF_X_36)
| p(skolemFOFtoCNF_X_35)
| q(Y0)
| s(Y) ) ),
inference(clausify,[],[normalize_4_4]) ).
fof(normalize_4_6,plain,
! [X,X0,Y0] :
( ~ p(X)
| q(Y0)
| s(X0)
| s(skolemFOFtoCNF_Y_29(X0)) ),
inference(conjunct,[],[normalize_4_5]) ).
fof(normalize_4_7,plain,
! [Y] : p(Y),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_8,plain,
! [Y] : p(Y),
inference(specialize,[],[normalize_4_7]) ).
fof(normalize_4_9,plain,
! [X] : ~ s(X),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_10,plain,
! [X] : ~ s(X),
inference(specialize,[],[normalize_4_9]) ).
fof(normalize_4_11,plain,
( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_12,plain,
! [X,X0,Y,Y0] :
( ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_32(X))
| ~ r(X0)
| s(Y) )
& ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_35(X))
| ~ s(skolemFOFtoCNF_Y_34)
| r(skolemFOFtoCNF_X_41) )
& ( ~ q(Y)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_33)
| q(skolemFOFtoCNF_X_39) )
& ( ~ q(Y)
| q(skolemFOFtoCNF_X_40)
| r(skolemFOFtoCNF_X_41)
| s(Y0) )
& ( ~ q(skolemFOFtoCNF_X_39)
| ~ r(X0)
| ~ s(skolemFOFtoCNF_Y_33)
| q(Y) )
& ( ~ q(skolemFOFtoCNF_X_40)
| q(Y)
| r(skolemFOFtoCNF_X_41)
| s(Y0) )
& ( ~ r(X0)
| q(X)
| q(skolemFOFtoCNF_Y_32(X))
| s(Y) )
& ( ~ s(skolemFOFtoCNF_Y_34)
| q(X)
| q(skolemFOFtoCNF_Y_35(X))
| r(skolemFOFtoCNF_X_41) ) ),
inference(clausify,[],[normalize_4_11]) ).
fof(normalize_4_13,plain,
! [X,X0,Y] :
( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_32(X))
| ~ r(X0)
| s(Y) ),
inference(conjunct,[],[normalize_4_12]) ).
cnf(refute_4_0,plain,
( ~ q(X)
| r(Y) ),
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_1,plain,
( ~ p(X)
| q(Y0)
| s(X0)
| s(skolemFOFtoCNF_Y_29(X0)) ),
inference(canonicalize,[],[normalize_4_6]) ).
cnf(refute_4_2,plain,
p(Y),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_3,plain,
p(X),
inference(subst,[],[refute_4_2:[bind(Y,$fot(X))]]) ).
cnf(refute_4_4,plain,
( q(Y0)
| s(X0)
| s(skolemFOFtoCNF_Y_29(X0)) ),
inference(resolve,[$cnf( p(X) )],[refute_4_3,refute_4_1]) ).
cnf(refute_4_5,plain,
~ s(X),
inference(canonicalize,[],[normalize_4_10]) ).
cnf(refute_4_6,plain,
~ s(X0),
inference(subst,[],[refute_4_5:[bind(X,$fot(X0))]]) ).
cnf(refute_4_7,plain,
( q(Y0)
| s(skolemFOFtoCNF_Y_29(X0)) ),
inference(resolve,[$cnf( s(X0) )],[refute_4_4,refute_4_6]) ).
cnf(refute_4_8,plain,
~ s(skolemFOFtoCNF_Y_29(X0)),
inference(subst,[],[refute_4_5:[bind(X,$fot(skolemFOFtoCNF_Y_29(X0)))]]) ).
cnf(refute_4_9,plain,
q(Y0),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_29(X0)) )],[refute_4_7,refute_4_8]) ).
cnf(refute_4_10,plain,
q(X),
inference(subst,[],[refute_4_9:[bind(Y0,$fot(X))]]) ).
cnf(refute_4_11,plain,
r(Y),
inference(resolve,[$cnf( q(X) )],[refute_4_10,refute_4_0]) ).
cnf(refute_4_12,plain,
( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_32(X))
| ~ r(X0)
| s(Y) ),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_13,plain,
( ~ q(skolemFOFtoCNF_Y_32(X))
| ~ r(X0)
| s(Y) ),
inference(resolve,[$cnf( q(X) )],[refute_4_10,refute_4_12]) ).
cnf(refute_4_14,plain,
q(skolemFOFtoCNF_Y_32(X)),
inference(subst,[],[refute_4_9:[bind(Y0,$fot(skolemFOFtoCNF_Y_32(X)))]]) ).
cnf(refute_4_15,plain,
( ~ r(X0)
| s(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_32(X)) )],[refute_4_14,refute_4_13]) ).
cnf(refute_4_16,plain,
~ s(Y),
inference(subst,[],[refute_4_5:[bind(X,$fot(Y))]]) ).
cnf(refute_4_17,plain,
~ r(X0),
inference(resolve,[$cnf( s(Y) )],[refute_4_15,refute_4_16]) ).
cnf(refute_4_18,plain,
~ r(Y),
inference(subst,[],[refute_4_17:[bind(X0,$fot(Y))]]) ).
cnf(refute_4_19,plain,
$false,
inference(resolve,[$cnf( r(Y) )],[refute_4_11,refute_4_18]) ).
fof(negate_5_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
& ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) )
=> ? [X] :
! [Y] :
( r(X)
<=> r(Y) ) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
( ~ definitionFOFtoCNF_0
<=> ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ! [Y] : p(Y) ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_5_1,plain,
! [X,X0,Y] :
( ( ~ definitionFOFtoCNF_0
| ~ p(X)
| ~ p(skolemFOFtoCNF_Y_42)
| ~ s(X0) )
& ( ~ definitionFOFtoCNF_0
| ~ p(X)
| p(Y)
| s(skolemFOFtoCNF_X_52) )
& ( ~ definitionFOFtoCNF_0
| ~ p(skolemFOFtoCNF_Y_41)
| p(skolemFOFtoCNF_X_50)
| s(skolemFOFtoCNF_X_52) )
& ( ~ definitionFOFtoCNF_0
| ~ s(X0)
| p(Y)
| p(skolemFOFtoCNF_X_53) )
& ( ~ p(X)
| ~ p(skolemFOFtoCNF_Y_41)
| definitionFOFtoCNF_0
| s(skolemFOFtoCNF_X_52) )
& ( ~ p(X)
| ~ s(X0)
| definitionFOFtoCNF_0
| p(Y) )
& ( ~ p(skolemFOFtoCNF_Y_42)
| ~ s(X0)
| definitionFOFtoCNF_0
| p(skolemFOFtoCNF_X_54) )
& ( definitionFOFtoCNF_0
| p(Y)
| p(skolemFOFtoCNF_X_51)
| s(skolemFOFtoCNF_X_52) ) ),
inference(clausify,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
! [X,X0] :
( ~ definitionFOFtoCNF_0
| ~ p(X)
| ~ p(skolemFOFtoCNF_Y_42)
| ~ s(X0) ),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
( ( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) )
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ! [X] :
? [Y] :
( ~ r(X)
<=> r(Y) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_4,plain,
( ? [X] : q(X)
<=> ! [Y] : r(Y) ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_5,plain,
! [X,Y] :
( ( ~ q(X)
| r(Y) )
& ( ~ r(skolemFOFtoCNF_Y_40)
| q(skolemFOFtoCNF_X_49) ) ),
inference(clausify,[],[normalize_5_4]) ).
fof(normalize_5_6,plain,
! [X,Y] :
( ~ q(X)
| r(Y) ),
inference(conjunct,[],[normalize_5_5]) ).
fof(normalize_5_7,plain,
! [X] :
? [Y] :
( ~ r(X)
<=> r(Y) ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_8,plain,
! [X] :
? [Y] :
( ~ r(X)
<=> r(Y) ),
inference(specialize,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
! [X] :
( ~ r(X)
<=> r(skolemFOFtoCNF_Y_46(X)) ),
inference(skolemize,[],[normalize_5_8]) ).
fof(normalize_5_10,plain,
! [X] :
( ( ~ r(X)
| ~ r(skolemFOFtoCNF_Y_46(X)) )
& ( r(X)
| r(skolemFOFtoCNF_Y_46(X)) ) ),
inference(clausify,[],[normalize_5_9]) ).
fof(normalize_5_11,plain,
! [X] :
( r(X)
| r(skolemFOFtoCNF_Y_46(X)) ),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_12,plain,
( ? [X] : r(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_13,plain,
! [X,X0,Y,Y0] :
( ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_38(X))
| ~ s(skolemFOFtoCNF_Y_39)
| r(skolemFOFtoCNF_X_48) )
& ( ~ q(X0)
| ~ q(skolemFOFtoCNF_Y_37(X0))
| ~ r(X)
| s(Y0) )
& ( ~ q(Y)
| ~ r(X)
| ~ s(skolemFOFtoCNF_Y_39)
| q(skolemFOFtoCNF_X_47) )
& ( ~ q(Y)
| q(skolemFOFtoCNF_X_46)
| r(skolemFOFtoCNF_X_45)
| s(Y0) )
& ( ~ q(skolemFOFtoCNF_X_46)
| q(Y)
| r(skolemFOFtoCNF_X_45)
| s(Y0) )
& ( ~ q(skolemFOFtoCNF_X_47)
| ~ r(X)
| ~ s(skolemFOFtoCNF_Y_39)
| q(Y) )
& ( ~ r(X)
| q(X0)
| q(skolemFOFtoCNF_Y_37(X0))
| s(Y0) )
& ( ~ s(skolemFOFtoCNF_Y_39)
| q(X)
| q(skolemFOFtoCNF_Y_38(X))
| r(skolemFOFtoCNF_X_48) ) ),
inference(clausify,[],[normalize_5_12]) ).
fof(normalize_5_14,plain,
! [X,X0,Y0] :
( ~ r(X)
| q(X0)
| q(skolemFOFtoCNF_Y_37(X0))
| s(Y0) ),
inference(conjunct,[],[normalize_5_13]) ).
fof(normalize_5_15,plain,
! [X] :
( ~ r(X)
| ~ r(skolemFOFtoCNF_Y_46(X)) ),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_16,plain,
? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_17,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_56) ),
inference(skolemize,[],[normalize_5_16]) ).
fof(normalize_5_18,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_56) ),
inference(specialize,[],[normalize_5_17]) ).
fof(normalize_5_19,plain,
! [Y] :
( ( ~ p(Y)
| p(skolemFOFtoCNF_X_56) )
& ( ~ p(skolemFOFtoCNF_X_56)
| p(Y) ) ),
inference(clausify,[],[normalize_5_18]) ).
fof(normalize_5_20,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_X_56)
| p(Y) ),
inference(conjunct,[],[normalize_5_19]) ).
fof(normalize_5_21,plain,
! [Y] :
( ~ p(Y)
| p(skolemFOFtoCNF_X_56) ),
inference(conjunct,[],[normalize_5_19]) ).
fof(normalize_5_22,plain,
! [X0,Y] :
( ~ definitionFOFtoCNF_0
| ~ s(X0)
| p(Y)
| p(skolemFOFtoCNF_X_53) ),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_23,plain,
( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_24,plain,
( ~ definitionFOFtoCNF_0
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ! [Y] : q(Y) ) ),
inference(simplify,[],[normalize_5_23,normalize_5_0]) ).
fof(normalize_5_25,plain,
! [X,Y,Y0] :
( ( ~ definitionFOFtoCNF_0
| ~ q(skolemFOFtoCNF_Y_43)
| ~ s(X)
| ~ s(skolemFOFtoCNF_Y_44(X)) )
& ( ~ definitionFOFtoCNF_0
| ~ q(skolemFOFtoCNF_Y_43)
| s(X)
| s(skolemFOFtoCNF_Y_44(X)) )
& ( ~ definitionFOFtoCNF_0
| ~ s(Y0)
| q(Y)
| s(skolemFOFtoCNF_X_55) )
& ( ~ definitionFOFtoCNF_0
| ~ s(skolemFOFtoCNF_X_55)
| q(Y)
| s(Y0) )
& ( ~ q(skolemFOFtoCNF_Y_45)
| ~ s(Y0)
| definitionFOFtoCNF_0
| s(skolemFOFtoCNF_X_55) )
& ( ~ q(skolemFOFtoCNF_Y_45)
| ~ s(skolemFOFtoCNF_X_55)
| definitionFOFtoCNF_0
| s(Y0) )
& ( ~ s(X)
| ~ s(skolemFOFtoCNF_Y_44(X))
| definitionFOFtoCNF_0
| q(Y) )
& ( definitionFOFtoCNF_0
| q(Y)
| s(X)
| s(skolemFOFtoCNF_Y_44(X)) ) ),
inference(clausify,[],[normalize_5_24]) ).
fof(normalize_5_26,plain,
! [X,Y] :
( ~ s(X)
| ~ s(skolemFOFtoCNF_Y_44(X))
| definitionFOFtoCNF_0
| q(Y) ),
inference(conjunct,[],[normalize_5_25]) ).
cnf(refute_5_0,plain,
( ~ definitionFOFtoCNF_0
| ~ p(X)
| ~ p(skolemFOFtoCNF_Y_42)
| ~ s(X0) ),
inference(canonicalize,[],[normalize_5_2]) ).
cnf(refute_5_1,plain,
( ~ definitionFOFtoCNF_0
| ~ p(X)
| ~ p(skolemFOFtoCNF_Y_42)
| ~ s(X_147) ),
inference(subst,[],[refute_5_0:[bind(X0,$fot(X_147))]]) ).
cnf(refute_5_2,plain,
( ~ q(X)
| r(Y) ),
inference(canonicalize,[],[normalize_5_6]) ).
cnf(refute_5_3,plain,
( ~ q(X_141)
| r(Y) ),
inference(subst,[],[refute_5_2:[bind(X,$fot(X_141))]]) ).
cnf(refute_5_4,plain,
( ~ q(skolemFOFtoCNF_Y_37(X_138))
| r(Y) ),
inference(subst,[],[refute_5_2:[bind(X,$fot(skolemFOFtoCNF_Y_37(X_138)))]]) ).
cnf(refute_5_5,plain,
( r(X)
| r(skolemFOFtoCNF_Y_46(X)) ),
inference(canonicalize,[],[normalize_5_11]) ).
cnf(refute_5_6,plain,
( ~ r(X)
| q(X0)
| q(skolemFOFtoCNF_Y_37(X0))
| s(Y0) ),
inference(canonicalize,[],[normalize_5_14]) ).
cnf(refute_5_7,plain,
( ~ r(skolemFOFtoCNF_Y_46(X))
| q(X_135)
| q(skolemFOFtoCNF_Y_37(X_135))
| s(X_136) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(skolemFOFtoCNF_Y_46(X))),bind(X0,$fot(X_135)),bind(Y0,$fot(X_136))]]) ).
cnf(refute_5_8,plain,
( q(X_135)
| q(skolemFOFtoCNF_Y_37(X_135))
| r(X)
| s(X_136) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_46(X)) )],[refute_5_5,refute_5_7]) ).
cnf(refute_5_9,plain,
( q(X_138)
| q(skolemFOFtoCNF_Y_37(X_138))
| r(X_137)
| s(X_139) ),
inference(subst,[],[refute_5_8:[bind(X,$fot(X_137)),bind(X_135,$fot(X_138)),bind(X_136,$fot(X_139))]]) ).
cnf(refute_5_10,plain,
( q(X_138)
| r(Y)
| r(X_137)
| s(X_139) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_37(X_138)) )],[refute_5_9,refute_5_4]) ).
cnf(refute_5_11,plain,
( q(X_141)
| r(X_140)
| s(X_142) ),
inference(subst,[],[refute_5_10:[bind(Y,$fot(X_140)),bind(X_137,$fot(X_140)),bind(X_138,$fot(X_141)),bind(X_139,$fot(X_142))]]) ).
cnf(refute_5_12,plain,
( r(Y)
| r(X_140)
| s(X_142) ),
inference(resolve,[$cnf( q(X_141) )],[refute_5_11,refute_5_3]) ).
cnf(refute_5_13,plain,
( r(X_145)
| s(X_142) ),
inference(subst,[],[refute_5_12:[bind(Y,$fot(X_145)),bind(X_140,$fot(X_145))]]) ).
cnf(refute_5_14,plain,
( ~ r(X)
| ~ r(skolemFOFtoCNF_Y_46(X)) ),
inference(canonicalize,[],[normalize_5_15]) ).
cnf(refute_5_15,plain,
( r(skolemFOFtoCNF_Y_46(X))
| s(X_144) ),
inference(subst,[],[refute_5_12:[bind(Y,$fot(skolemFOFtoCNF_Y_46(X))),bind(X_140,$fot(skolemFOFtoCNF_Y_46(X))),bind(X_142,$fot(X_144))]]) ).
cnf(refute_5_16,plain,
( ~ r(X)
| s(X_144) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_46(X)) )],[refute_5_15,refute_5_14]) ).
cnf(refute_5_17,plain,
( ~ r(X_145)
| s(X_146) ),
inference(subst,[],[refute_5_16:[bind(X,$fot(X_145)),bind(X_144,$fot(X_146))]]) ).
cnf(refute_5_18,plain,
( s(X_142)
| s(X_146) ),
inference(resolve,[$cnf( r(X_145) )],[refute_5_13,refute_5_17]) ).
cnf(refute_5_19,plain,
s(X_147),
inference(subst,[],[refute_5_18:[bind(X_142,$fot(X_147)),bind(X_146,$fot(X_147))]]) ).
cnf(refute_5_20,plain,
( ~ definitionFOFtoCNF_0
| ~ p(X)
| ~ p(skolemFOFtoCNF_Y_42) ),
inference(resolve,[$cnf( s(X_147) )],[refute_5_19,refute_5_1]) ).
cnf(refute_5_21,plain,
( ~ definitionFOFtoCNF_0
| ~ p(skolemFOFtoCNF_Y_42) ),
inference(subst,[],[refute_5_20:[bind(X,$fot(skolemFOFtoCNF_Y_42))]]) ).
cnf(refute_5_22,plain,
( ~ p(skolemFOFtoCNF_X_56)
| p(Y) ),
inference(canonicalize,[],[normalize_5_20]) ).
cnf(refute_5_23,plain,
( ~ p(Y)
| p(skolemFOFtoCNF_X_56) ),
inference(canonicalize,[],[normalize_5_21]) ).
cnf(refute_5_24,plain,
( ~ p(skolemFOFtoCNF_X_53)
| p(skolemFOFtoCNF_X_56) ),
inference(subst,[],[refute_5_23:[bind(Y,$fot(skolemFOFtoCNF_X_53))]]) ).
cnf(refute_5_25,plain,
( ~ definitionFOFtoCNF_0
| ~ s(X0)
| p(Y)
| p(skolemFOFtoCNF_X_53) ),
inference(canonicalize,[],[normalize_5_22]) ).
cnf(refute_5_26,plain,
( ~ definitionFOFtoCNF_0
| ~ s(X_147)
| p(Y)
| p(skolemFOFtoCNF_X_53) ),
inference(subst,[],[refute_5_25:[bind(X0,$fot(X_147))]]) ).
cnf(refute_5_27,plain,
( ~ definitionFOFtoCNF_0
| p(Y)
| p(skolemFOFtoCNF_X_53) ),
inference(resolve,[$cnf( s(X_147) )],[refute_5_19,refute_5_26]) ).
cnf(refute_5_28,plain,
( ~ q(X_148)
| r(Y) ),
inference(subst,[],[refute_5_2:[bind(X,$fot(X_148))]]) ).
cnf(refute_5_29,plain,
( ~ s(X)
| ~ s(skolemFOFtoCNF_Y_44(X))
| definitionFOFtoCNF_0
| q(Y) ),
inference(canonicalize,[],[normalize_5_26]) ).
cnf(refute_5_30,plain,
s(skolemFOFtoCNF_Y_44(X)),
inference(subst,[],[refute_5_18:[bind(X_142,$fot(skolemFOFtoCNF_Y_44(X))),bind(X_146,$fot(skolemFOFtoCNF_Y_44(X)))]]) ).
cnf(refute_5_31,plain,
( ~ s(X)
| definitionFOFtoCNF_0
| q(Y) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_44(X)) )],[refute_5_30,refute_5_29]) ).
cnf(refute_5_32,plain,
s(X),
inference(subst,[],[refute_5_18:[bind(X_142,$fot(X)),bind(X_146,$fot(X))]]) ).
cnf(refute_5_33,plain,
( definitionFOFtoCNF_0
| q(Y) ),
inference(resolve,[$cnf( s(X) )],[refute_5_32,refute_5_31]) ).
cnf(refute_5_34,plain,
( definitionFOFtoCNF_0
| q(X_148) ),
inference(subst,[],[refute_5_33:[bind(Y,$fot(X_148))]]) ).
cnf(refute_5_35,plain,
( definitionFOFtoCNF_0
| r(Y) ),
inference(resolve,[$cnf( q(X_148) )],[refute_5_34,refute_5_28]) ).
cnf(refute_5_36,plain,
( definitionFOFtoCNF_0
| r(X_150) ),
inference(subst,[],[refute_5_35:[bind(Y,$fot(X_150))]]) ).
cnf(refute_5_37,plain,
( definitionFOFtoCNF_0
| r(skolemFOFtoCNF_Y_46(X)) ),
inference(subst,[],[refute_5_35:[bind(Y,$fot(skolemFOFtoCNF_Y_46(X)))]]) ).
cnf(refute_5_38,plain,
( ~ r(X)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_46(X)) )],[refute_5_37,refute_5_14]) ).
cnf(refute_5_39,plain,
( ~ r(X_150)
| definitionFOFtoCNF_0 ),
inference(subst,[],[refute_5_38:[bind(X,$fot(X_150))]]) ).
cnf(refute_5_40,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( r(X_150) )],[refute_5_36,refute_5_39]) ).
cnf(refute_5_41,plain,
( p(Y)
| p(skolemFOFtoCNF_X_53) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_5_40,refute_5_27]) ).
cnf(refute_5_42,plain,
p(skolemFOFtoCNF_X_53),
inference(subst,[],[refute_5_41:[bind(Y,$fot(skolemFOFtoCNF_X_53))]]) ).
cnf(refute_5_43,plain,
p(skolemFOFtoCNF_X_56),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_53) )],[refute_5_42,refute_5_24]) ).
cnf(refute_5_44,plain,
p(Y),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_56) )],[refute_5_43,refute_5_22]) ).
cnf(refute_5_45,plain,
p(skolemFOFtoCNF_Y_42),
inference(subst,[],[refute_5_44:[bind(Y,$fot(skolemFOFtoCNF_Y_42))]]) ).
cnf(refute_5_46,plain,
~ definitionFOFtoCNF_0,
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_42) )],[refute_5_45,refute_5_21]) ).
cnf(refute_5_47,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_5_40,refute_5_46]) ).
fof(negate_6_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) )
& ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
& ? [X] : r(X) )
=> ! [Y] : s(Y) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ? [X] : r(X)
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
& ? [Y] : ~ s(Y) ),
inference(canonicalize,[],[negate_6_0]) ).
fof(normalize_6_1,plain,
? [Y] : ~ s(Y),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_2,plain,
~ s(skolemFOFtoCNF_Y_57),
inference(skolemize,[],[normalize_6_1]) ).
fof(normalize_6_3,plain,
( ~ definitionFOFtoCNF_1
<=> ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_6_4,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
<=> ? [X] : p(X) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_6_5,plain,
( ~ definitionFOFtoCNF_2
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ),
inference(simplify,[],[normalize_6_3,normalize_6_4]) ).
fof(normalize_6_6,plain,
! [X,Y,Y0] :
( ( ~ definitionFOFtoCNF_2
| ~ p(skolemFOFtoCNF_Y_51)
| ~ q(skolemFOFtoCNF_Y_50)
| ~ s(X) )
& ( ~ definitionFOFtoCNF_2
| ~ p(skolemFOFtoCNF_Y_51)
| q(Y)
| s(skolemFOFtoCNF_X_62) )
& ( ~ definitionFOFtoCNF_2
| ~ q(skolemFOFtoCNF_Y_48)
| p(Y0)
| s(skolemFOFtoCNF_X_60) )
& ( ~ definitionFOFtoCNF_2
| ~ s(X)
| p(Y0)
| q(Y) )
& ( ~ p(skolemFOFtoCNF_Y_51)
| ~ q(skolemFOFtoCNF_Y_49)
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_61) )
& ( ~ p(skolemFOFtoCNF_Y_51)
| ~ s(X)
| definitionFOFtoCNF_2
| q(Y) )
& ( ~ q(skolemFOFtoCNF_Y_47)
| ~ s(X)
| definitionFOFtoCNF_2
| p(Y0) )
& ( definitionFOFtoCNF_2
| p(Y0)
| q(Y)
| s(skolemFOFtoCNF_X_59) ) ),
inference(clausify,[],[normalize_6_5]) ).
fof(normalize_6_7,plain,
! [X] :
( ~ definitionFOFtoCNF_2
| ~ p(skolemFOFtoCNF_Y_51)
| ~ q(skolemFOFtoCNF_Y_50)
| ~ s(X) ),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_8,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_3(X,Y)
<=> ( ~ r(X)
<=> ~ r(Y) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_6_9,plain,
! [X,Y] :
( ( ~ definitionFOFtoCNF_3(X,Y)
| ~ r(X)
| ~ r(Y) )
& ( ~ definitionFOFtoCNF_3(X,Y)
| r(X)
| r(Y) )
& ( ~ r(X)
| definitionFOFtoCNF_3(X,Y)
| r(Y) )
& ( ~ r(Y)
| definitionFOFtoCNF_3(X,Y)
| r(X) ) ),
inference(clausify,[],[normalize_6_8]) ).
fof(normalize_6_10,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_3(X,Y)
| ~ r(X)
| ~ r(Y) ),
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_11,plain,
( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ) ),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_12,plain,
( ~ definitionFOFtoCNF_1
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) ) ) ),
inference(simplify,[],[normalize_6_11,normalize_6_4,normalize_6_5]) ).
fof(normalize_6_13,plain,
( ~ definitionFOFtoCNF_1
<=> ( ? [X] :
! [Y] : ~ definitionFOFtoCNF_3(X,Y)
<=> ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) ) ) ),
inference(simplify,[],[normalize_6_12,normalize_6_8]) ).
fof(normalize_6_14,plain,
! [X,X0,Y,Y0] :
( ( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,Y)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_66) )
& ( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,Y)
| ~ s(skolemFOFtoCNF_X_66)
| s(Y0) )
& ( ~ definitionFOFtoCNF_1
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_55(X0))
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_54(X)) )
& ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_54(X))
| s(X0)
| s(skolemFOFtoCNF_Y_55(X0)) )
& ( ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,Y)
| ~ s(X)
| ~ s(skolemFOFtoCNF_Y_53(X))
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,Y)
| definitionFOFtoCNF_1
| s(X)
| s(skolemFOFtoCNF_Y_53(X)) )
& ( ~ s(Y)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(skolemFOFtoCNF_X_63) )
& ( ~ s(skolemFOFtoCNF_X_63)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(Y) ) ),
inference(clausify,[],[normalize_6_13]) ).
fof(normalize_6_15,plain,
! [X,X0] :
( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_54(X))
| s(X0)
| s(skolemFOFtoCNF_Y_55(X0)) ),
inference(conjunct,[],[normalize_6_14]) ).
fof(normalize_6_16,plain,
( ? [X] : q(X)
<=> ! [Y] : r(Y) ),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_17,plain,
! [X,Y] :
( ( ~ q(X)
| r(Y) )
& ( ~ r(skolemFOFtoCNF_Y_56)
| q(skolemFOFtoCNF_X_67) ) ),
inference(clausify,[],[normalize_6_16]) ).
fof(normalize_6_18,plain,
! [X,Y] :
( ~ q(X)
| r(Y) ),
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_19,plain,
! [X] :
( ( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_2
| p(skolemFOFtoCNF_X_58) )
& ( ~ definitionFOFtoCNF_1
| ~ p(X)
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_2
| ~ p(X)
| definitionFOFtoCNF_1 )
& ( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| p(skolemFOFtoCNF_X_57) ) ),
inference(clausify,[],[normalize_6_4]) ).
fof(normalize_6_20,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| p(skolemFOFtoCNF_X_57) ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_21,plain,
? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) ),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_22,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_69) ),
inference(skolemize,[],[normalize_6_21]) ).
fof(normalize_6_23,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_69) ),
inference(specialize,[],[normalize_6_22]) ).
fof(normalize_6_24,plain,
! [Y] :
( ( ~ p(Y)
| p(skolemFOFtoCNF_X_69) )
& ( ~ p(skolemFOFtoCNF_X_69)
| p(Y) ) ),
inference(clausify,[],[normalize_6_23]) ).
fof(normalize_6_25,plain,
! [Y] :
( ~ p(Y)
| p(skolemFOFtoCNF_X_69) ),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_26,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_X_69)
| p(Y) ),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_27,plain,
! [X,Y] :
( ~ p(skolemFOFtoCNF_Y_51)
| ~ s(X)
| definitionFOFtoCNF_2
| q(Y) ),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_28,plain,
? [X] : r(X),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_29,plain,
r(skolemFOFtoCNF_X_68),
inference(skolemize,[],[normalize_6_28]) ).
fof(normalize_6_30,plain,
! [X,Y] :
( ~ r(Y)
| definitionFOFtoCNF_3(X,Y)
| r(X) ),
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_31,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,Y)
| definitionFOFtoCNF_1
| s(X)
| s(skolemFOFtoCNF_Y_53(X)) ),
inference(conjunct,[],[normalize_6_14]) ).
fof(normalize_6_32,plain,
! [X,Y] :
( ~ r(X)
| definitionFOFtoCNF_3(X,Y)
| r(Y) ),
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_33,plain,
! [X,Y] :
( ~ s(skolemFOFtoCNF_X_63)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(Y) ),
inference(conjunct,[],[normalize_6_14]) ).
fof(normalize_6_34,plain,
! [X,Y] :
( ~ s(Y)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(skolemFOFtoCNF_X_63) ),
inference(conjunct,[],[normalize_6_14]) ).
fof(normalize_6_35,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| ~ q(skolemFOFtoCNF_Y_49)
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_61) ),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_36,plain,
? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) ),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_37,plain,
! [Y] :
( ~ q(Y)
<=> ~ q(skolemFOFtoCNF_X_70) ),
inference(skolemize,[],[normalize_6_36]) ).
fof(normalize_6_38,plain,
! [Y] :
( ~ q(Y)
<=> ~ q(skolemFOFtoCNF_X_70) ),
inference(specialize,[],[normalize_6_37]) ).
fof(normalize_6_39,plain,
! [Y] :
( ( ~ q(Y)
| q(skolemFOFtoCNF_X_70) )
& ( ~ q(skolemFOFtoCNF_X_70)
| q(Y) ) ),
inference(clausify,[],[normalize_6_38]) ).
fof(normalize_6_40,plain,
! [Y] :
( ~ q(skolemFOFtoCNF_X_70)
| q(Y) ),
inference(conjunct,[],[normalize_6_39]) ).
fof(normalize_6_41,plain,
! [Y] :
( ~ q(Y)
| q(skolemFOFtoCNF_X_70) ),
inference(conjunct,[],[normalize_6_39]) ).
fof(normalize_6_42,plain,
( ~ r(skolemFOFtoCNF_Y_56)
| q(skolemFOFtoCNF_X_67) ),
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_43,plain,
! [X] :
( ~ definitionFOFtoCNF_2
| ~ p(X)
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_44,plain,
! [X,Y,Y0] :
( ~ definitionFOFtoCNF_2
| ~ s(X)
| p(Y0)
| q(Y) ),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_45,plain,
! [Y0] :
( ~ definitionFOFtoCNF_2
| ~ q(skolemFOFtoCNF_Y_48)
| p(Y0)
| s(skolemFOFtoCNF_X_60) ),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_46,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,Y)
| ~ s(skolemFOFtoCNF_X_66)
| s(Y0) ),
inference(conjunct,[],[normalize_6_14]) ).
fof(normalize_6_47,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,Y)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_66) ),
inference(conjunct,[],[normalize_6_14]) ).
fof(normalize_6_48,plain,
! [Y] :
( ~ definitionFOFtoCNF_2
| ~ p(skolemFOFtoCNF_Y_51)
| q(Y)
| s(skolemFOFtoCNF_X_62) ),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_49,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_2
| p(skolemFOFtoCNF_X_58) ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_50,plain,
! [X] :
( ~ definitionFOFtoCNF_1
| ~ p(X)
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_51,plain,
! [Y,Y0] :
( definitionFOFtoCNF_2
| p(Y0)
| q(Y)
| s(skolemFOFtoCNF_X_59) ),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_52,plain,
! [X,Y0] :
( ~ q(skolemFOFtoCNF_Y_47)
| ~ s(X)
| definitionFOFtoCNF_2
| p(Y0) ),
inference(conjunct,[],[normalize_6_6]) ).
cnf(refute_6_0,plain,
~ s(skolemFOFtoCNF_Y_57),
inference(canonicalize,[],[normalize_6_2]) ).
cnf(refute_6_1,plain,
( ~ definitionFOFtoCNF_2
| ~ p(skolemFOFtoCNF_Y_51)
| ~ q(skolemFOFtoCNF_Y_50)
| ~ s(X) ),
inference(canonicalize,[],[normalize_6_7]) ).
cnf(refute_6_2,plain,
( ~ definitionFOFtoCNF_2
| ~ p(skolemFOFtoCNF_Y_51)
| ~ q(skolemFOFtoCNF_Y_50)
| ~ s(skolemFOFtoCNF_Y_55(X_380)) ),
inference(subst,[],[refute_6_1:[bind(X,$fot(skolemFOFtoCNF_Y_55(X_380)))]]) ).
cnf(refute_6_3,plain,
( ~ definitionFOFtoCNF_3(X,Y)
| ~ r(X)
| ~ r(Y) ),
inference(canonicalize,[],[normalize_6_10]) ).
cnf(refute_6_4,plain,
( ~ definitionFOFtoCNF_3(X_323,skolemFOFtoCNF_Y_54(X_323))
| ~ r(X_323)
| ~ r(skolemFOFtoCNF_Y_54(X_323)) ),
inference(subst,[],[refute_6_3:[bind(X,$fot(X_323)),bind(Y,$fot(skolemFOFtoCNF_Y_54(X_323)))]]) ).
cnf(refute_6_5,plain,
( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_54(X))
| s(X0)
| s(skolemFOFtoCNF_Y_55(X0)) ),
inference(canonicalize,[],[normalize_6_15]) ).
cnf(refute_6_6,plain,
( ~ q(X)
| r(Y) ),
inference(canonicalize,[],[normalize_6_18]) ).
cnf(refute_6_7,plain,
( ~ q(X_216)
| r(Y) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(X_216))]]) ).
cnf(refute_6_8,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| p(skolemFOFtoCNF_X_57) ),
inference(canonicalize,[],[normalize_6_20]) ).
cnf(refute_6_9,plain,
( ~ p(Y)
| p(skolemFOFtoCNF_X_69) ),
inference(canonicalize,[],[normalize_6_25]) ).
cnf(refute_6_10,plain,
( ~ p(skolemFOFtoCNF_X_57)
| p(skolemFOFtoCNF_X_69) ),
inference(subst,[],[refute_6_9:[bind(Y,$fot(skolemFOFtoCNF_X_57))]]) ).
cnf(refute_6_11,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| p(skolemFOFtoCNF_X_69) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_57) )],[refute_6_8,refute_6_10]) ).
cnf(refute_6_12,plain,
( ~ p(skolemFOFtoCNF_X_69)
| p(Y) ),
inference(canonicalize,[],[normalize_6_26]) ).
cnf(refute_6_13,plain,
( ~ p(skolemFOFtoCNF_X_69)
| p(X_155) ),
inference(subst,[],[refute_6_12:[bind(Y,$fot(X_155))]]) ).
cnf(refute_6_14,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| p(X_155) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_69) )],[refute_6_11,refute_6_13]) ).
cnf(refute_6_15,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| p(skolemFOFtoCNF_Y_51) ),
inference(subst,[],[refute_6_14:[bind(X_155,$fot(skolemFOFtoCNF_Y_51))]]) ).
cnf(refute_6_16,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| ~ s(X)
| definitionFOFtoCNF_2
| q(Y) ),
inference(canonicalize,[],[normalize_6_27]) ).
cnf(refute_6_17,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| ~ s(skolemFOFtoCNF_Y_53(X_193))
| definitionFOFtoCNF_2
| q(Y) ),
inference(subst,[],[refute_6_16:[bind(X,$fot(skolemFOFtoCNF_Y_53(X_193)))]]) ).
cnf(refute_6_18,plain,
r(skolemFOFtoCNF_X_68),
inference(canonicalize,[],[normalize_6_29]) ).
cnf(refute_6_19,plain,
( ~ r(Y)
| definitionFOFtoCNF_3(X,Y)
| r(X) ),
inference(canonicalize,[],[normalize_6_30]) ).
cnf(refute_6_20,plain,
( ~ r(skolemFOFtoCNF_X_68)
| definitionFOFtoCNF_3(X_172,skolemFOFtoCNF_X_68)
| r(X_172) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(X_172)),bind(Y,$fot(skolemFOFtoCNF_X_68))]]) ).
cnf(refute_6_21,plain,
( definitionFOFtoCNF_3(X_172,skolemFOFtoCNF_X_68)
| r(X_172) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_68) )],[refute_6_18,refute_6_20]) ).
cnf(refute_6_22,plain,
( definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,skolemFOFtoCNF_X_68)
| r(skolemFOFtoCNF_X_64) ),
inference(subst,[],[refute_6_21:[bind(X_172,$fot(skolemFOFtoCNF_X_64))]]) ).
cnf(refute_6_23,plain,
( ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,Y)
| definitionFOFtoCNF_1
| s(X)
| s(skolemFOFtoCNF_Y_53(X)) ),
inference(canonicalize,[],[normalize_6_31]) ).
cnf(refute_6_24,plain,
( ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,skolemFOFtoCNF_X_68)
| definitionFOFtoCNF_1
| s(X_191)
| s(skolemFOFtoCNF_Y_53(X_191)) ),
inference(subst,[],[refute_6_23:[bind(X,$fot(X_191)),bind(Y,$fot(skolemFOFtoCNF_X_68))]]) ).
cnf(refute_6_25,plain,
( definitionFOFtoCNF_1
| r(skolemFOFtoCNF_X_64)
| s(X_191)
| s(skolemFOFtoCNF_Y_53(X_191)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,skolemFOFtoCNF_X_68) )],[refute_6_22,refute_6_24]) ).
cnf(refute_6_26,plain,
( definitionFOFtoCNF_1
| r(skolemFOFtoCNF_X_64)
| s(X_193)
| s(skolemFOFtoCNF_Y_53(X_193)) ),
inference(subst,[],[refute_6_25:[bind(X_191,$fot(X_193))]]) ).
cnf(refute_6_27,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(Y)
| r(skolemFOFtoCNF_X_64)
| s(X_193) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_53(X_193)) )],[refute_6_26,refute_6_17]) ).
cnf(refute_6_28,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_212)
| r(skolemFOFtoCNF_X_64)
| s(X_213) ),
inference(subst,[],[refute_6_27:[bind(Y,$fot(X_212)),bind(X_193,$fot(X_213))]]) ).
cnf(refute_6_29,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_212)
| r(skolemFOFtoCNF_X_64)
| s(X_213) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_51) )],[refute_6_15,refute_6_28]) ).
cnf(refute_6_30,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_214)
| r(skolemFOFtoCNF_X_64)
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_29:[bind(X_212,$fot(X_214)),bind(X_213,$fot(skolemFOFtoCNF_Y_57))]]) ).
cnf(refute_6_31,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_214)
| r(skolemFOFtoCNF_X_64) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_30,refute_6_0]) ).
cnf(refute_6_32,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_216)
| r(skolemFOFtoCNF_X_64) ),
inference(subst,[],[refute_6_31:[bind(X_214,$fot(X_216))]]) ).
cnf(refute_6_33,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(Y)
| r(skolemFOFtoCNF_X_64) ),
inference(resolve,[$cnf( q(X_216) )],[refute_6_32,refute_6_7]) ).
cnf(refute_6_34,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(skolemFOFtoCNF_X_64) ),
inference(subst,[],[refute_6_33:[bind(Y,$fot(skolemFOFtoCNF_X_64))]]) ).
cnf(refute_6_35,plain,
( ~ q(X_244)
| r(Y) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(X_244))]]) ).
cnf(refute_6_36,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| ~ s(skolemFOFtoCNF_Y_53(X_228))
| definitionFOFtoCNF_2
| q(Y) ),
inference(subst,[],[refute_6_16:[bind(X,$fot(skolemFOFtoCNF_Y_53(X_228)))]]) ).
cnf(refute_6_37,plain,
( ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,X_218)
| definitionFOFtoCNF_1
| s(X)
| s(skolemFOFtoCNF_Y_53(X)) ),
inference(subst,[],[refute_6_23:[bind(Y,$fot(X_218))]]) ).
cnf(refute_6_38,plain,
( ~ r(X)
| definitionFOFtoCNF_3(X,Y)
| r(Y) ),
inference(canonicalize,[],[normalize_6_32]) ).
cnf(refute_6_39,plain,
( ~ r(skolemFOFtoCNF_X_64)
| definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,Y)
| r(Y) ),
inference(subst,[],[refute_6_38:[bind(X,$fot(skolemFOFtoCNF_X_64))]]) ).
cnf(refute_6_40,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_64) )],[refute_6_34,refute_6_39]) ).
cnf(refute_6_41,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,X_218)
| r(X_218) ),
inference(subst,[],[refute_6_40:[bind(Y,$fot(X_218))]]) ).
cnf(refute_6_42,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(X_218)
| s(X)
| s(skolemFOFtoCNF_Y_53(X)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,X_218) )],[refute_6_41,refute_6_37]) ).
cnf(refute_6_43,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(X_229)
| s(X_228)
| s(skolemFOFtoCNF_Y_53(X_228)) ),
inference(subst,[],[refute_6_42:[bind(X,$fot(X_228)),bind(X_218,$fot(X_229))]]) ).
cnf(refute_6_44,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(Y)
| r(X_229)
| s(X_228) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_53(X_228)) )],[refute_6_43,refute_6_36]) ).
cnf(refute_6_45,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_238)
| r(X_240)
| s(X_239) ),
inference(subst,[],[refute_6_44:[bind(Y,$fot(X_238)),bind(X_228,$fot(X_239)),bind(X_229,$fot(X_240))]]) ).
cnf(refute_6_46,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_238)
| r(X_240)
| s(X_239) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_51) )],[refute_6_15,refute_6_45]) ).
cnf(refute_6_47,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_241)
| r(X_243)
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_46:[bind(X_238,$fot(X_241)),bind(X_239,$fot(skolemFOFtoCNF_Y_57)),bind(X_240,$fot(X_243))]]) ).
cnf(refute_6_48,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_241)
| r(X_243) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_47,refute_6_0]) ).
cnf(refute_6_49,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_244)
| r(X_245) ),
inference(subst,[],[refute_6_48:[bind(X_241,$fot(X_244)),bind(X_243,$fot(X_245))]]) ).
cnf(refute_6_50,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(Y)
| r(X_245) ),
inference(resolve,[$cnf( q(X_244) )],[refute_6_49,refute_6_35]) ).
cnf(refute_6_51,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(skolemFOFtoCNF_Y_52(X_258)) ),
inference(subst,[],[refute_6_50:[bind(Y,$fot(skolemFOFtoCNF_Y_52(X_258))),bind(X_245,$fot(skolemFOFtoCNF_Y_52(X_258)))]]) ).
cnf(refute_6_52,plain,
( ~ definitionFOFtoCNF_3(X_253,skolemFOFtoCNF_Y_52(X_253))
| ~ r(X_253)
| ~ r(skolemFOFtoCNF_Y_52(X_253)) ),
inference(subst,[],[refute_6_3:[bind(X,$fot(X_253)),bind(Y,$fot(skolemFOFtoCNF_Y_52(X_253)))]]) ).
cnf(refute_6_53,plain,
( ~ s(skolemFOFtoCNF_X_63)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(Y) ),
inference(canonicalize,[],[normalize_6_33]) ).
cnf(refute_6_54,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(skolemFOFtoCNF_Y_52(X_251)) ),
inference(subst,[],[refute_6_50:[bind(Y,$fot(skolemFOFtoCNF_Y_52(X_251))),bind(X_245,$fot(skolemFOFtoCNF_Y_52(X_251)))]]) ).
cnf(refute_6_55,plain,
( ~ definitionFOFtoCNF_3(X_248,skolemFOFtoCNF_Y_52(X_248))
| ~ r(X_248)
| ~ r(skolemFOFtoCNF_Y_52(X_248)) ),
inference(subst,[],[refute_6_3:[bind(X,$fot(X_248)),bind(Y,$fot(skolemFOFtoCNF_Y_52(X_248)))]]) ).
cnf(refute_6_56,plain,
( ~ s(Y)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(skolemFOFtoCNF_X_63) ),
inference(canonicalize,[],[normalize_6_34]) ).
cnf(refute_6_57,plain,
( ~ s(skolemFOFtoCNF_X_61)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(skolemFOFtoCNF_X_63) ),
inference(subst,[],[refute_6_56:[bind(Y,$fot(skolemFOFtoCNF_X_61))]]) ).
cnf(refute_6_58,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| ~ q(skolemFOFtoCNF_Y_49)
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_61) ),
inference(canonicalize,[],[normalize_6_35]) ).
cnf(refute_6_59,plain,
( ~ q(skolemFOFtoCNF_X_70)
| q(Y) ),
inference(canonicalize,[],[normalize_6_40]) ).
cnf(refute_6_60,plain,
( ~ q(Y)
| q(skolemFOFtoCNF_X_70) ),
inference(canonicalize,[],[normalize_6_41]) ).
cnf(refute_6_61,plain,
( ~ q(skolemFOFtoCNF_X_67)
| q(skolemFOFtoCNF_X_70) ),
inference(subst,[],[refute_6_60:[bind(Y,$fot(skolemFOFtoCNF_X_67))]]) ).
cnf(refute_6_62,plain,
( ~ r(skolemFOFtoCNF_Y_56)
| q(skolemFOFtoCNF_X_67) ),
inference(canonicalize,[],[normalize_6_42]) ).
cnf(refute_6_63,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_244)
| r(skolemFOFtoCNF_Y_56) ),
inference(subst,[],[refute_6_48:[bind(X_241,$fot(X_244)),bind(X_243,$fot(skolemFOFtoCNF_Y_56))]]) ).
cnf(refute_6_64,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(X_244)
| q(skolemFOFtoCNF_X_67) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_56) )],[refute_6_63,refute_6_62]) ).
cnf(refute_6_65,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(skolemFOFtoCNF_X_67) ),
inference(subst,[],[refute_6_64:[bind(X_244,$fot(skolemFOFtoCNF_X_67))]]) ).
cnf(refute_6_66,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(skolemFOFtoCNF_X_70) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_67) )],[refute_6_65,refute_6_61]) ).
cnf(refute_6_67,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_70) )],[refute_6_66,refute_6_59]) ).
cnf(refute_6_68,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| q(skolemFOFtoCNF_Y_49) ),
inference(subst,[],[refute_6_67:[bind(Y,$fot(skolemFOFtoCNF_Y_49))]]) ).
cnf(refute_6_69,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_61) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_49) )],[refute_6_68,refute_6_58]) ).
cnf(refute_6_70,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_61) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_51) )],[refute_6_15,refute_6_69]) ).
cnf(refute_6_71,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(skolemFOFtoCNF_X_63) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_61) )],[refute_6_70,refute_6_57]) ).
cnf(refute_6_72,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3(X_248,skolemFOFtoCNF_Y_52(X_248))
| s(skolemFOFtoCNF_X_63) ),
inference(subst,[],[refute_6_71:[bind(X,$fot(X_248))]]) ).
cnf(refute_6_73,plain,
( ~ r(X_248)
| ~ r(skolemFOFtoCNF_Y_52(X_248))
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_63) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(X_248,skolemFOFtoCNF_Y_52(X_248)) )],[refute_6_72,refute_6_55]) ).
cnf(refute_6_74,plain,
( ~ r(X_251)
| ~ r(skolemFOFtoCNF_Y_52(X_251))
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_63) ),
inference(subst,[],[refute_6_73:[bind(X_248,$fot(X_251))]]) ).
cnf(refute_6_75,plain,
( ~ r(X_251)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_63) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_52(X_251)) )],[refute_6_54,refute_6_74]) ).
cnf(refute_6_76,plain,
( ~ r(skolemFOFtoCNF_X_64)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_63) ),
inference(subst,[],[refute_6_75:[bind(X_251,$fot(skolemFOFtoCNF_X_64))]]) ).
cnf(refute_6_77,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_X_63) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_64) )],[refute_6_34,refute_6_76]) ).
cnf(refute_6_78,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(Y) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_63) )],[refute_6_77,refute_6_53]) ).
cnf(refute_6_79,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3(X_253,skolemFOFtoCNF_Y_52(X_253))
| s(X_254) ),
inference(subst,[],[refute_6_78:[bind(X,$fot(X_253)),bind(Y,$fot(X_254))]]) ).
cnf(refute_6_80,plain,
( ~ r(X_253)
| ~ r(skolemFOFtoCNF_Y_52(X_253))
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(X_254) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(X_253,skolemFOFtoCNF_Y_52(X_253)) )],[refute_6_79,refute_6_52]) ).
cnf(refute_6_81,plain,
( ~ r(X_258)
| ~ r(skolemFOFtoCNF_Y_52(X_258))
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(X_259) ),
inference(subst,[],[refute_6_80:[bind(X_253,$fot(X_258)),bind(X_254,$fot(X_259))]]) ).
cnf(refute_6_82,plain,
( ~ r(X_258)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(X_259) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_52(X_258)) )],[refute_6_51,refute_6_81]) ).
cnf(refute_6_83,plain,
( ~ r(skolemFOFtoCNF_X_64)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(X_261) ),
inference(subst,[],[refute_6_82:[bind(X_258,$fot(skolemFOFtoCNF_X_64)),bind(X_259,$fot(X_261))]]) ).
cnf(refute_6_84,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(X_261) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_64) )],[refute_6_34,refute_6_83]) ).
cnf(refute_6_85,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_84:[bind(X_261,$fot(skolemFOFtoCNF_Y_57))]]) ).
cnf(refute_6_86,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_85,refute_6_0]) ).
cnf(refute_6_87,plain,
( ~ definitionFOFtoCNF_2
| ~ p(X)
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_6_43]) ).
cnf(refute_6_88,plain,
( ~ definitionFOFtoCNF_2
| ~ p(X_274)
| definitionFOFtoCNF_1 ),
inference(subst,[],[refute_6_87:[bind(X,$fot(X_274))]]) ).
cnf(refute_6_89,plain,
( ~ q(X_272)
| r(Y) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(X_272))]]) ).
cnf(refute_6_90,plain,
( ~ definitionFOFtoCNF_2
| ~ s(X)
| p(Y0)
| q(Y) ),
inference(canonicalize,[],[normalize_6_44]) ).
cnf(refute_6_91,plain,
( ~ definitionFOFtoCNF_2
| ~ s(skolemFOFtoCNF_Y_53(X_191))
| p(X_200)
| q(X_199) ),
inference(subst,[],[refute_6_90:[bind(X,$fot(skolemFOFtoCNF_Y_53(X_191))),bind(Y,$fot(X_199)),bind(Y0,$fot(X_200))]]) ).
cnf(refute_6_92,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1
| p(X_200)
| q(X_199)
| r(skolemFOFtoCNF_X_64)
| s(X_191) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_53(X_191)) )],[refute_6_25,refute_6_91]) ).
cnf(refute_6_93,plain,
( definitionFOFtoCNF_1
| p(X_200)
| q(X_199)
| r(skolemFOFtoCNF_X_64)
| s(X_191) ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_86,refute_6_92]) ).
cnf(refute_6_94,plain,
( definitionFOFtoCNF_1
| p(X_271)
| q(X_270)
| r(skolemFOFtoCNF_X_64)
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_93:[bind(X_191,$fot(skolemFOFtoCNF_Y_57)),bind(X_199,$fot(X_270)),bind(X_200,$fot(X_271))]]) ).
cnf(refute_6_95,plain,
( definitionFOFtoCNF_1
| p(X_271)
| q(X_270)
| r(skolemFOFtoCNF_X_64) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_94,refute_6_0]) ).
cnf(refute_6_96,plain,
( definitionFOFtoCNF_1
| p(X_273)
| q(X_272)
| r(skolemFOFtoCNF_X_64) ),
inference(subst,[],[refute_6_95:[bind(X_270,$fot(X_272)),bind(X_271,$fot(X_273))]]) ).
cnf(refute_6_97,plain,
( definitionFOFtoCNF_1
| p(X_273)
| r(Y)
| r(skolemFOFtoCNF_X_64) ),
inference(resolve,[$cnf( q(X_272) )],[refute_6_96,refute_6_89]) ).
cnf(refute_6_98,plain,
( definitionFOFtoCNF_1
| p(X_274)
| r(skolemFOFtoCNF_X_64) ),
inference(subst,[],[refute_6_97:[bind(Y,$fot(skolemFOFtoCNF_X_64)),bind(X_273,$fot(X_274))]]) ).
cnf(refute_6_99,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1
| r(skolemFOFtoCNF_X_64) ),
inference(resolve,[$cnf( p(X_274) )],[refute_6_98,refute_6_88]) ).
cnf(refute_6_100,plain,
( definitionFOFtoCNF_1
| r(skolemFOFtoCNF_X_64) ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_86,refute_6_99]) ).
cnf(refute_6_101,plain,
( ~ q(skolemFOFtoCNF_X_67)
| r(Y) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(skolemFOFtoCNF_X_67))]]) ).
cnf(refute_6_102,plain,
( ~ definitionFOFtoCNF_2
| ~ p(X_300)
| definitionFOFtoCNF_1 ),
inference(subst,[],[refute_6_87:[bind(X,$fot(X_300))]]) ).
cnf(refute_6_103,plain,
( ~ definitionFOFtoCNF_2
| ~ s(skolemFOFtoCNF_Y_53(X_277))
| p(Y0)
| q(Y) ),
inference(subst,[],[refute_6_90:[bind(X,$fot(skolemFOFtoCNF_Y_53(X_277)))]]) ).
cnf(refute_6_104,plain,
( ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,X_276)
| definitionFOFtoCNF_1
| s(X)
| s(skolemFOFtoCNF_Y_53(X)) ),
inference(subst,[],[refute_6_23:[bind(Y,$fot(X_276))]]) ).
cnf(refute_6_105,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_64) )],[refute_6_100,refute_6_39]) ).
cnf(refute_6_106,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,X_276)
| r(X_276) ),
inference(subst,[],[refute_6_105:[bind(Y,$fot(X_276))]]) ).
cnf(refute_6_107,plain,
( definitionFOFtoCNF_1
| r(X_276)
| s(X)
| s(skolemFOFtoCNF_Y_53(X)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(skolemFOFtoCNF_X_64,X_276) )],[refute_6_106,refute_6_104]) ).
cnf(refute_6_108,plain,
( definitionFOFtoCNF_1
| r(X_278)
| s(X_277)
| s(skolemFOFtoCNF_Y_53(X_277)) ),
inference(subst,[],[refute_6_107:[bind(X,$fot(X_277)),bind(X_276,$fot(X_278))]]) ).
cnf(refute_6_109,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1
| p(Y0)
| q(Y)
| r(X_278)
| s(X_277) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_53(X_277)) )],[refute_6_108,refute_6_103]) ).
cnf(refute_6_110,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1
| p(X_290)
| q(X_289)
| r(X_292)
| s(X_291) ),
inference(subst,[],[refute_6_109:[bind(Y,$fot(X_289)),bind(Y0,$fot(X_290)),bind(X_277,$fot(X_291)),bind(X_278,$fot(X_292))]]) ).
cnf(refute_6_111,plain,
( definitionFOFtoCNF_1
| p(X_290)
| q(X_289)
| r(X_292)
| s(X_291) ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_86,refute_6_110]) ).
cnf(refute_6_112,plain,
( definitionFOFtoCNF_1
| p(X_294)
| q(X_293)
| r(X_296)
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_111:[bind(X_289,$fot(X_293)),bind(X_290,$fot(X_294)),bind(X_291,$fot(skolemFOFtoCNF_Y_57)),bind(X_292,$fot(X_296))]]) ).
cnf(refute_6_113,plain,
( definitionFOFtoCNF_1
| p(X_294)
| q(X_293)
| r(X_296) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_112,refute_6_0]) ).
cnf(refute_6_114,plain,
( definitionFOFtoCNF_1
| p(X_298)
| q(X_297)
| r(skolemFOFtoCNF_Y_56) ),
inference(subst,[],[refute_6_113:[bind(X_293,$fot(X_297)),bind(X_294,$fot(X_298)),bind(X_296,$fot(skolemFOFtoCNF_Y_56))]]) ).
cnf(refute_6_115,plain,
( definitionFOFtoCNF_1
| p(X_298)
| q(X_297)
| q(skolemFOFtoCNF_X_67) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_56) )],[refute_6_114,refute_6_62]) ).
cnf(refute_6_116,plain,
( definitionFOFtoCNF_1
| p(X_300)
| q(skolemFOFtoCNF_X_67) ),
inference(subst,[],[refute_6_115:[bind(X_297,$fot(skolemFOFtoCNF_X_67)),bind(X_298,$fot(X_300))]]) ).
cnf(refute_6_117,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1
| q(skolemFOFtoCNF_X_67) ),
inference(resolve,[$cnf( p(X_300) )],[refute_6_116,refute_6_102]) ).
cnf(refute_6_118,plain,
( definitionFOFtoCNF_1
| q(skolemFOFtoCNF_X_67) ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_86,refute_6_117]) ).
cnf(refute_6_119,plain,
( definitionFOFtoCNF_1
| r(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_67) )],[refute_6_118,refute_6_101]) ).
cnf(refute_6_120,plain,
( definitionFOFtoCNF_1
| r(skolemFOFtoCNF_Y_52(X_315)) ),
inference(subst,[],[refute_6_119:[bind(Y,$fot(skolemFOFtoCNF_Y_52(X_315)))]]) ).
cnf(refute_6_121,plain,
( ~ definitionFOFtoCNF_3(X_310,skolemFOFtoCNF_Y_52(X_310))
| ~ r(X_310)
| ~ r(skolemFOFtoCNF_Y_52(X_310)) ),
inference(subst,[],[refute_6_3:[bind(X,$fot(X_310)),bind(Y,$fot(skolemFOFtoCNF_Y_52(X_310)))]]) ).
cnf(refute_6_122,plain,
( definitionFOFtoCNF_1
| r(skolemFOFtoCNF_Y_52(X_308)) ),
inference(subst,[],[refute_6_119:[bind(Y,$fot(skolemFOFtoCNF_Y_52(X_308)))]]) ).
cnf(refute_6_123,plain,
( ~ definitionFOFtoCNF_3(X_305,skolemFOFtoCNF_Y_52(X_305))
| ~ r(X_305)
| ~ r(skolemFOFtoCNF_Y_52(X_305)) ),
inference(subst,[],[refute_6_3:[bind(X,$fot(X_305)),bind(Y,$fot(skolemFOFtoCNF_Y_52(X_305)))]]) ).
cnf(refute_6_124,plain,
( ~ s(skolemFOFtoCNF_X_60)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(skolemFOFtoCNF_X_63) ),
inference(subst,[],[refute_6_56:[bind(Y,$fot(skolemFOFtoCNF_X_60))]]) ).
cnf(refute_6_125,plain,
( ~ definitionFOFtoCNF_2
| ~ p(X_304)
| definitionFOFtoCNF_1 ),
inference(subst,[],[refute_6_87:[bind(X,$fot(X_304))]]) ).
cnf(refute_6_126,plain,
( ~ definitionFOFtoCNF_2
| ~ q(skolemFOFtoCNF_Y_48)
| p(Y0)
| s(skolemFOFtoCNF_X_60) ),
inference(canonicalize,[],[normalize_6_45]) ).
cnf(refute_6_127,plain,
( definitionFOFtoCNF_1
| q(skolemFOFtoCNF_X_70) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_67) )],[refute_6_118,refute_6_61]) ).
cnf(refute_6_128,plain,
( definitionFOFtoCNF_1
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_70) )],[refute_6_127,refute_6_59]) ).
cnf(refute_6_129,plain,
( definitionFOFtoCNF_1
| q(skolemFOFtoCNF_Y_48) ),
inference(subst,[],[refute_6_128:[bind(Y,$fot(skolemFOFtoCNF_Y_48))]]) ).
cnf(refute_6_130,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1
| p(Y0)
| s(skolemFOFtoCNF_X_60) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_48) )],[refute_6_129,refute_6_126]) ).
cnf(refute_6_131,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1
| p(X_303)
| s(skolemFOFtoCNF_X_60) ),
inference(subst,[],[refute_6_130:[bind(Y0,$fot(X_303))]]) ).
cnf(refute_6_132,plain,
( definitionFOFtoCNF_1
| p(X_303)
| s(skolemFOFtoCNF_X_60) ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_86,refute_6_131]) ).
cnf(refute_6_133,plain,
( definitionFOFtoCNF_1
| p(X_304)
| s(skolemFOFtoCNF_X_60) ),
inference(subst,[],[refute_6_132:[bind(X_303,$fot(X_304))]]) ).
cnf(refute_6_134,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1
| s(skolemFOFtoCNF_X_60) ),
inference(resolve,[$cnf( p(X_304) )],[refute_6_133,refute_6_125]) ).
cnf(refute_6_135,plain,
( definitionFOFtoCNF_1
| s(skolemFOFtoCNF_X_60) ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_86,refute_6_134]) ).
cnf(refute_6_136,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(skolemFOFtoCNF_X_63) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_60) )],[refute_6_135,refute_6_124]) ).
cnf(refute_6_137,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X_305,skolemFOFtoCNF_Y_52(X_305))
| s(skolemFOFtoCNF_X_63) ),
inference(subst,[],[refute_6_136:[bind(X,$fot(X_305))]]) ).
cnf(refute_6_138,plain,
( ~ r(X_305)
| ~ r(skolemFOFtoCNF_Y_52(X_305))
| definitionFOFtoCNF_1
| s(skolemFOFtoCNF_X_63) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(X_305,skolemFOFtoCNF_Y_52(X_305)) )],[refute_6_137,refute_6_123]) ).
cnf(refute_6_139,plain,
( ~ r(X_308)
| ~ r(skolemFOFtoCNF_Y_52(X_308))
| definitionFOFtoCNF_1
| s(skolemFOFtoCNF_X_63) ),
inference(subst,[],[refute_6_138:[bind(X_305,$fot(X_308))]]) ).
cnf(refute_6_140,plain,
( ~ r(X_308)
| definitionFOFtoCNF_1
| s(skolemFOFtoCNF_X_63) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_52(X_308)) )],[refute_6_122,refute_6_139]) ).
cnf(refute_6_141,plain,
( ~ r(skolemFOFtoCNF_X_64)
| definitionFOFtoCNF_1
| s(skolemFOFtoCNF_X_63) ),
inference(subst,[],[refute_6_140:[bind(X_308,$fot(skolemFOFtoCNF_X_64))]]) ).
cnf(refute_6_142,plain,
( definitionFOFtoCNF_1
| s(skolemFOFtoCNF_X_63) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_64) )],[refute_6_100,refute_6_141]) ).
cnf(refute_6_143,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_52(X))
| s(Y) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_63) )],[refute_6_142,refute_6_53]) ).
cnf(refute_6_144,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3(X_310,skolemFOFtoCNF_Y_52(X_310))
| s(X_311) ),
inference(subst,[],[refute_6_143:[bind(X,$fot(X_310)),bind(Y,$fot(X_311))]]) ).
cnf(refute_6_145,plain,
( ~ r(X_310)
| ~ r(skolemFOFtoCNF_Y_52(X_310))
| definitionFOFtoCNF_1
| s(X_311) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(X_310,skolemFOFtoCNF_Y_52(X_310)) )],[refute_6_144,refute_6_121]) ).
cnf(refute_6_146,plain,
( ~ r(X_315)
| ~ r(skolemFOFtoCNF_Y_52(X_315))
| definitionFOFtoCNF_1
| s(X_316) ),
inference(subst,[],[refute_6_145:[bind(X_310,$fot(X_315)),bind(X_311,$fot(X_316))]]) ).
cnf(refute_6_147,plain,
( ~ r(X_315)
| definitionFOFtoCNF_1
| s(X_316) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_52(X_315)) )],[refute_6_120,refute_6_146]) ).
cnf(refute_6_148,plain,
( ~ r(skolemFOFtoCNF_X_64)
| definitionFOFtoCNF_1
| s(X_318) ),
inference(subst,[],[refute_6_147:[bind(X_315,$fot(skolemFOFtoCNF_X_64)),bind(X_316,$fot(X_318))]]) ).
cnf(refute_6_149,plain,
( definitionFOFtoCNF_1
| s(X_318) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_64) )],[refute_6_100,refute_6_148]) ).
cnf(refute_6_150,plain,
( definitionFOFtoCNF_1
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_149:[bind(X_318,$fot(skolemFOFtoCNF_Y_57))]]) ).
cnf(refute_6_151,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_150,refute_6_0]) ).
cnf(refute_6_152,plain,
( definitionFOFtoCNF_3(X,skolemFOFtoCNF_Y_54(X))
| s(X0)
| s(skolemFOFtoCNF_Y_55(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_5]) ).
cnf(refute_6_153,plain,
( definitionFOFtoCNF_3(X_323,skolemFOFtoCNF_Y_54(X_323))
| s(X_324)
| s(skolemFOFtoCNF_Y_55(X_324)) ),
inference(subst,[],[refute_6_152:[bind(X,$fot(X_323)),bind(X0,$fot(X_324))]]) ).
cnf(refute_6_154,plain,
( ~ r(X_323)
| ~ r(skolemFOFtoCNF_Y_54(X_323))
| s(X_324)
| s(skolemFOFtoCNF_Y_55(X_324)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(X_323,skolemFOFtoCNF_Y_54(X_323)) )],[refute_6_153,refute_6_4]) ).
cnf(refute_6_155,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,Y)
| ~ s(skolemFOFtoCNF_X_66)
| s(Y0) ),
inference(canonicalize,[],[normalize_6_46]) ).
cnf(refute_6_156,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_370)
| ~ s(skolemFOFtoCNF_X_66)
| s(Y0) ),
inference(subst,[],[refute_6_155:[bind(Y,$fot(X_370))]]) ).
cnf(refute_6_157,plain,
( ~ r(skolemFOFtoCNF_X_65)
| definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,Y)
| r(Y) ),
inference(subst,[],[refute_6_38:[bind(X,$fot(skolemFOFtoCNF_X_65))]]) ).
cnf(refute_6_158,plain,
( ~ q(X_368)
| r(Y) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(X_368))]]) ).
cnf(refute_6_159,plain,
( definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,skolemFOFtoCNF_X_68)
| r(skolemFOFtoCNF_X_65) ),
inference(subst,[],[refute_6_21:[bind(X_172,$fot(skolemFOFtoCNF_X_65))]]) ).
cnf(refute_6_160,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,skolemFOFtoCNF_X_68)
| ~ s(skolemFOFtoCNF_X_66)
| s(X_186) ),
inference(subst,[],[refute_6_155:[bind(Y,$fot(skolemFOFtoCNF_X_68)),bind(Y0,$fot(X_186))]]) ).
cnf(refute_6_161,plain,
( ~ definitionFOFtoCNF_1
| ~ s(skolemFOFtoCNF_X_66)
| r(skolemFOFtoCNF_X_65)
| s(X_186) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,skolemFOFtoCNF_X_68) )],[refute_6_159,refute_6_160]) ).
cnf(refute_6_162,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,Y)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_66) ),
inference(canonicalize,[],[normalize_6_47]) ).
cnf(refute_6_163,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,skolemFOFtoCNF_X_68)
| ~ s(X_183)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_162:[bind(Y,$fot(skolemFOFtoCNF_X_68)),bind(Y0,$fot(X_183))]]) ).
cnf(refute_6_164,plain,
( ~ definitionFOFtoCNF_1
| ~ s(X_183)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,skolemFOFtoCNF_X_68) )],[refute_6_159,refute_6_163]) ).
cnf(refute_6_165,plain,
( ~ definitionFOFtoCNF_1
| ~ s(skolemFOFtoCNF_X_62)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_164:[bind(X_183,$fot(skolemFOFtoCNF_X_62))]]) ).
cnf(refute_6_166,plain,
( ~ definitionFOFtoCNF_2
| ~ p(skolemFOFtoCNF_Y_51)
| q(Y)
| s(skolemFOFtoCNF_X_62) ),
inference(canonicalize,[],[normalize_6_48]) ).
cnf(refute_6_167,plain,
( ~ p(skolemFOFtoCNF_X_58)
| p(skolemFOFtoCNF_X_69) ),
inference(subst,[],[refute_6_9:[bind(Y,$fot(skolemFOFtoCNF_X_58))]]) ).
cnf(refute_6_168,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_2
| p(skolemFOFtoCNF_X_58) ),
inference(canonicalize,[],[normalize_6_49]) ).
cnf(refute_6_169,plain,
( ~ definitionFOFtoCNF_1
| ~ p(X)
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_6_50]) ).
cnf(refute_6_170,plain,
( ~ definitionFOFtoCNF_1
| ~ p(X_359)
| definitionFOFtoCNF_2 ),
inference(subst,[],[refute_6_169:[bind(X,$fot(X_359))]]) ).
cnf(refute_6_171,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_334)
| ~ s(skolemFOFtoCNF_X_66)
| s(Y0) ),
inference(subst,[],[refute_6_155:[bind(Y,$fot(X_334))]]) ).
cnf(refute_6_172,plain,
( ~ definitionFOFtoCNF_1
| ~ s(skolemFOFtoCNF_X_59)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_164:[bind(X_183,$fot(skolemFOFtoCNF_X_59))]]) ).
cnf(refute_6_173,plain,
( ~ definitionFOFtoCNF_1
| ~ p(X_202)
| definitionFOFtoCNF_2 ),
inference(subst,[],[refute_6_169:[bind(X,$fot(X_202))]]) ).
cnf(refute_6_174,plain,
( ~ q(X_179)
| r(Y) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(X_179))]]) ).
cnf(refute_6_175,plain,
( definitionFOFtoCNF_2
| p(Y0)
| q(Y)
| s(skolemFOFtoCNF_X_59) ),
inference(canonicalize,[],[normalize_6_51]) ).
cnf(refute_6_176,plain,
( definitionFOFtoCNF_2
| p(X_180)
| q(X_179)
| s(skolemFOFtoCNF_X_59) ),
inference(subst,[],[refute_6_175:[bind(Y,$fot(X_179)),bind(Y0,$fot(X_180))]]) ).
cnf(refute_6_177,plain,
( definitionFOFtoCNF_2
| p(X_180)
| r(Y)
| s(skolemFOFtoCNF_X_59) ),
inference(resolve,[$cnf( q(X_179) )],[refute_6_176,refute_6_174]) ).
cnf(refute_6_178,plain,
( definitionFOFtoCNF_2
| p(X_202)
| r(X_201)
| s(skolemFOFtoCNF_X_59) ),
inference(subst,[],[refute_6_177:[bind(Y,$fot(X_201)),bind(X_180,$fot(X_202))]]) ).
cnf(refute_6_179,plain,
( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(X_201)
| s(skolemFOFtoCNF_X_59) ),
inference(resolve,[$cnf( p(X_202) )],[refute_6_178,refute_6_173]) ).
cnf(refute_6_180,plain,
( definitionFOFtoCNF_2
| r(X_201)
| s(skolemFOFtoCNF_X_59) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_179]) ).
cnf(refute_6_181,plain,
( definitionFOFtoCNF_2
| r(X_320)
| s(skolemFOFtoCNF_X_59) ),
inference(subst,[],[refute_6_180:[bind(X_201,$fot(X_320))]]) ).
cnf(refute_6_182,plain,
( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(X_320)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_59) )],[refute_6_181,refute_6_172]) ).
cnf(refute_6_183,plain,
( definitionFOFtoCNF_2
| r(X_320)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_182]) ).
cnf(refute_6_184,plain,
( definitionFOFtoCNF_2
| r(X_322)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_183:[bind(X_320,$fot(X_322))]]) ).
cnf(refute_6_185,plain,
( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2
| r(X_322)
| r(skolemFOFtoCNF_X_65)
| s(X_186) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_66) )],[refute_6_184,refute_6_161]) ).
cnf(refute_6_186,plain,
( definitionFOFtoCNF_2
| r(X_322)
| r(skolemFOFtoCNF_X_65)
| s(X_186) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_185]) ).
cnf(refute_6_187,plain,
( definitionFOFtoCNF_2
| r(X_332)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_186:[bind(X_186,$fot(skolemFOFtoCNF_Y_57)),bind(X_322,$fot(X_332))]]) ).
cnf(refute_6_188,plain,
( definitionFOFtoCNF_2
| r(X_332)
| r(skolemFOFtoCNF_X_65) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_187,refute_6_0]) ).
cnf(refute_6_189,plain,
( definitionFOFtoCNF_2
| r(skolemFOFtoCNF_X_65) ),
inference(subst,[],[refute_6_188:[bind(X_332,$fot(skolemFOFtoCNF_X_65))]]) ).
cnf(refute_6_190,plain,
( definitionFOFtoCNF_2
| definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_65) )],[refute_6_189,refute_6_157]) ).
cnf(refute_6_191,plain,
( definitionFOFtoCNF_2
| definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_334)
| r(X_334) ),
inference(subst,[],[refute_6_190:[bind(Y,$fot(X_334))]]) ).
cnf(refute_6_192,plain,
( ~ definitionFOFtoCNF_1
| ~ s(skolemFOFtoCNF_X_66)
| definitionFOFtoCNF_2
| r(X_334)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_334) )],[refute_6_191,refute_6_171]) ).
cnf(refute_6_193,plain,
( ~ s(skolemFOFtoCNF_X_66)
| definitionFOFtoCNF_2
| r(X_334)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_192]) ).
cnf(refute_6_194,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_334)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_162:[bind(Y,$fot(X_334))]]) ).
cnf(refute_6_195,plain,
( ~ definitionFOFtoCNF_1
| ~ s(Y0)
| definitionFOFtoCNF_2
| r(X_334)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_334) )],[refute_6_191,refute_6_194]) ).
cnf(refute_6_196,plain,
( ~ s(Y0)
| definitionFOFtoCNF_2
| r(X_334)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_195]) ).
cnf(refute_6_197,plain,
( ~ s(skolemFOFtoCNF_X_59)
| definitionFOFtoCNF_2
| r(X_338)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_196:[bind(Y0,$fot(skolemFOFtoCNF_X_59)),bind(X_334,$fot(X_338))]]) ).
cnf(refute_6_198,plain,
( definitionFOFtoCNF_2
| r(X_201)
| r(X_338)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_59) )],[refute_6_180,refute_6_197]) ).
cnf(refute_6_199,plain,
( definitionFOFtoCNF_2
| r(X_339)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_198:[bind(X_201,$fot(X_339)),bind(X_338,$fot(X_339))]]) ).
cnf(refute_6_200,plain,
( definitionFOFtoCNF_2
| r(X_334)
| r(X_339)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_66) )],[refute_6_199,refute_6_193]) ).
cnf(refute_6_201,plain,
( definitionFOFtoCNF_2
| r(X_341)
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_200:[bind(Y0,$fot(skolemFOFtoCNF_Y_57)),bind(X_334,$fot(X_341)),bind(X_339,$fot(X_341))]]) ).
cnf(refute_6_202,plain,
( definitionFOFtoCNF_2
| r(X_341) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_201,refute_6_0]) ).
cnf(refute_6_203,plain,
( definitionFOFtoCNF_2
| r(skolemFOFtoCNF_Y_56) ),
inference(subst,[],[refute_6_202:[bind(X_341,$fot(skolemFOFtoCNF_Y_56))]]) ).
cnf(refute_6_204,plain,
( definitionFOFtoCNF_2
| q(skolemFOFtoCNF_X_67) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_56) )],[refute_6_203,refute_6_62]) ).
cnf(refute_6_205,plain,
( definitionFOFtoCNF_2
| q(skolemFOFtoCNF_X_70) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_67) )],[refute_6_204,refute_6_61]) ).
cnf(refute_6_206,plain,
( definitionFOFtoCNF_2
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_70) )],[refute_6_205,refute_6_59]) ).
cnf(refute_6_207,plain,
( definitionFOFtoCNF_2
| q(skolemFOFtoCNF_Y_47) ),
inference(subst,[],[refute_6_206:[bind(Y,$fot(skolemFOFtoCNF_Y_47))]]) ).
cnf(refute_6_208,plain,
( ~ q(skolemFOFtoCNF_Y_47)
| ~ s(X)
| definitionFOFtoCNF_2
| p(Y0) ),
inference(canonicalize,[],[normalize_6_52]) ).
cnf(refute_6_209,plain,
( ~ q(skolemFOFtoCNF_Y_47)
| ~ s(skolemFOFtoCNF_Y_55(X_354))
| definitionFOFtoCNF_2
| p(Y0) ),
inference(subst,[],[refute_6_208:[bind(X,$fot(skolemFOFtoCNF_Y_55(X_354)))]]) ).
cnf(refute_6_210,plain,
( definitionFOFtoCNF_2
| r(skolemFOFtoCNF_Y_54(X_350)) ),
inference(subst,[],[refute_6_202:[bind(X_341,$fot(skolemFOFtoCNF_Y_54(X_350)))]]) ).
cnf(refute_6_211,plain,
( ~ r(X_350)
| ~ r(skolemFOFtoCNF_Y_54(X_350))
| s(X_351)
| s(skolemFOFtoCNF_Y_55(X_351)) ),
inference(subst,[],[refute_6_154:[bind(X_323,$fot(X_350)),bind(X_324,$fot(X_351))]]) ).
cnf(refute_6_212,plain,
( ~ r(X_350)
| definitionFOFtoCNF_2
| s(X_351)
| s(skolemFOFtoCNF_Y_55(X_351)) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_54(X_350)) )],[refute_6_210,refute_6_211]) ).
cnf(refute_6_213,plain,
( ~ r(skolemFOFtoCNF_X_65)
| definitionFOFtoCNF_2
| s(X_353)
| s(skolemFOFtoCNF_Y_55(X_353)) ),
inference(subst,[],[refute_6_212:[bind(X_350,$fot(skolemFOFtoCNF_X_65)),bind(X_351,$fot(X_353))]]) ).
cnf(refute_6_214,plain,
( definitionFOFtoCNF_2
| s(X_353)
| s(skolemFOFtoCNF_Y_55(X_353)) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_65) )],[refute_6_189,refute_6_213]) ).
cnf(refute_6_215,plain,
( definitionFOFtoCNF_2
| s(X_354)
| s(skolemFOFtoCNF_Y_55(X_354)) ),
inference(subst,[],[refute_6_214:[bind(X_353,$fot(X_354))]]) ).
cnf(refute_6_216,plain,
( ~ q(skolemFOFtoCNF_Y_47)
| definitionFOFtoCNF_2
| p(Y0)
| s(X_354) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_55(X_354)) )],[refute_6_215,refute_6_209]) ).
cnf(refute_6_217,plain,
( ~ q(skolemFOFtoCNF_Y_47)
| definitionFOFtoCNF_2
| p(X_355)
| s(X_356) ),
inference(subst,[],[refute_6_216:[bind(Y0,$fot(X_355)),bind(X_354,$fot(X_356))]]) ).
cnf(refute_6_218,plain,
( definitionFOFtoCNF_2
| p(X_355)
| s(X_356) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_47) )],[refute_6_207,refute_6_217]) ).
cnf(refute_6_219,plain,
( definitionFOFtoCNF_2
| p(X_357)
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_218:[bind(X_355,$fot(X_357)),bind(X_356,$fot(skolemFOFtoCNF_Y_57))]]) ).
cnf(refute_6_220,plain,
( definitionFOFtoCNF_2
| p(X_357) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_219,refute_6_0]) ).
cnf(refute_6_221,plain,
( definitionFOFtoCNF_2
| p(X_359) ),
inference(subst,[],[refute_6_220:[bind(X_357,$fot(X_359))]]) ).
cnf(refute_6_222,plain,
( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( p(X_359) )],[refute_6_221,refute_6_170]) ).
cnf(refute_6_223,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_222]) ).
cnf(refute_6_224,plain,
( ~ definitionFOFtoCNF_1
| p(skolemFOFtoCNF_X_58) ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_223,refute_6_168]) ).
cnf(refute_6_225,plain,
p(skolemFOFtoCNF_X_58),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_224]) ).
cnf(refute_6_226,plain,
p(skolemFOFtoCNF_X_69),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_58) )],[refute_6_225,refute_6_167]) ).
cnf(refute_6_227,plain,
p(Y),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_69) )],[refute_6_226,refute_6_12]) ).
cnf(refute_6_228,plain,
p(skolemFOFtoCNF_Y_51),
inference(subst,[],[refute_6_227:[bind(Y,$fot(skolemFOFtoCNF_Y_51))]]) ).
cnf(refute_6_229,plain,
( ~ definitionFOFtoCNF_2
| q(Y)
| s(skolemFOFtoCNF_X_62) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_51) )],[refute_6_228,refute_6_166]) ).
cnf(refute_6_230,plain,
( q(Y)
| s(skolemFOFtoCNF_X_62) ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_223,refute_6_229]) ).
cnf(refute_6_231,plain,
( q(X_361)
| s(skolemFOFtoCNF_X_62) ),
inference(subst,[],[refute_6_230:[bind(Y,$fot(X_361))]]) ).
cnf(refute_6_232,plain,
( ~ definitionFOFtoCNF_1
| q(X_361)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_62) )],[refute_6_231,refute_6_165]) ).
cnf(refute_6_233,plain,
( q(X_361)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_232]) ).
cnf(refute_6_234,plain,
( q(X_364)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_233:[bind(X_361,$fot(X_364))]]) ).
cnf(refute_6_235,plain,
( ~ definitionFOFtoCNF_1
| q(X_364)
| r(skolemFOFtoCNF_X_65)
| s(X_186) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_66) )],[refute_6_234,refute_6_161]) ).
cnf(refute_6_236,plain,
( q(X_364)
| r(skolemFOFtoCNF_X_65)
| s(X_186) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_235]) ).
cnf(refute_6_237,plain,
( q(X_367)
| r(skolemFOFtoCNF_X_65)
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_236:[bind(X_186,$fot(skolemFOFtoCNF_Y_57)),bind(X_364,$fot(X_367))]]) ).
cnf(refute_6_238,plain,
( q(X_367)
| r(skolemFOFtoCNF_X_65) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_237,refute_6_0]) ).
cnf(refute_6_239,plain,
( q(X_368)
| r(skolemFOFtoCNF_X_65) ),
inference(subst,[],[refute_6_238:[bind(X_367,$fot(X_368))]]) ).
cnf(refute_6_240,plain,
( r(Y)
| r(skolemFOFtoCNF_X_65) ),
inference(resolve,[$cnf( q(X_368) )],[refute_6_239,refute_6_158]) ).
cnf(refute_6_241,plain,
r(skolemFOFtoCNF_X_65),
inference(subst,[],[refute_6_240:[bind(Y,$fot(skolemFOFtoCNF_X_65))]]) ).
cnf(refute_6_242,plain,
( definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_65) )],[refute_6_241,refute_6_157]) ).
cnf(refute_6_243,plain,
( definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_370)
| r(X_370) ),
inference(subst,[],[refute_6_242:[bind(Y,$fot(X_370))]]) ).
cnf(refute_6_244,plain,
( ~ definitionFOFtoCNF_1
| ~ s(skolemFOFtoCNF_X_66)
| r(X_370)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_370) )],[refute_6_243,refute_6_156]) ).
cnf(refute_6_245,plain,
( ~ s(skolemFOFtoCNF_X_66)
| r(X_370)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_244]) ).
cnf(refute_6_246,plain,
( ~ q(X_361)
| r(Y) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(X_361))]]) ).
cnf(refute_6_247,plain,
( r(Y)
| s(skolemFOFtoCNF_X_62) ),
inference(resolve,[$cnf( q(X_361) )],[refute_6_231,refute_6_246]) ).
cnf(refute_6_248,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_370)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_162:[bind(Y,$fot(X_370))]]) ).
cnf(refute_6_249,plain,
( ~ definitionFOFtoCNF_1
| ~ s(Y0)
| r(X_370)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( definitionFOFtoCNF_3(skolemFOFtoCNF_X_65,X_370) )],[refute_6_243,refute_6_248]) ).
cnf(refute_6_250,plain,
( ~ s(Y0)
| r(X_370)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_151,refute_6_249]) ).
cnf(refute_6_251,plain,
( ~ s(skolemFOFtoCNF_X_62)
| r(X_374)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_250:[bind(Y0,$fot(skolemFOFtoCNF_X_62)),bind(X_370,$fot(X_374))]]) ).
cnf(refute_6_252,plain,
( r(Y)
| r(X_374)
| s(skolemFOFtoCNF_X_66) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_62) )],[refute_6_247,refute_6_251]) ).
cnf(refute_6_253,plain,
( r(X_375)
| s(skolemFOFtoCNF_X_66) ),
inference(subst,[],[refute_6_252:[bind(Y,$fot(X_375)),bind(X_374,$fot(X_375))]]) ).
cnf(refute_6_254,plain,
( r(X_370)
| r(X_375)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_66) )],[refute_6_253,refute_6_245]) ).
cnf(refute_6_255,plain,
( r(skolemFOFtoCNF_Y_54(X_323))
| s(X_376) ),
inference(subst,[],[refute_6_254:[bind(Y0,$fot(X_376)),bind(X_370,$fot(skolemFOFtoCNF_Y_54(X_323))),bind(X_375,$fot(skolemFOFtoCNF_Y_54(X_323)))]]) ).
cnf(refute_6_256,plain,
( ~ r(X_323)
| s(X_324)
| s(X_376)
| s(skolemFOFtoCNF_Y_55(X_324)) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_54(X_323)) )],[refute_6_255,refute_6_154]) ).
cnf(refute_6_257,plain,
( r(X_377)
| s(skolemFOFtoCNF_Y_57) ),
inference(subst,[],[refute_6_254:[bind(Y0,$fot(skolemFOFtoCNF_Y_57)),bind(X_370,$fot(X_377)),bind(X_375,$fot(X_377))]]) ).
cnf(refute_6_258,plain,
r(X_377),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_257,refute_6_0]) ).
cnf(refute_6_259,plain,
r(X_323),
inference(subst,[],[refute_6_258:[bind(X_377,$fot(X_323))]]) ).
cnf(refute_6_260,plain,
( s(X_324)
| s(X_376)
| s(skolemFOFtoCNF_Y_55(X_324)) ),
inference(resolve,[$cnf( r(X_323) )],[refute_6_259,refute_6_256]) ).
cnf(refute_6_261,plain,
( s(X_380)
| s(skolemFOFtoCNF_Y_55(X_380)) ),
inference(subst,[],[refute_6_260:[bind(X_324,$fot(X_380)),bind(X_376,$fot(skolemFOFtoCNF_Y_55(X_380)))]]) ).
cnf(refute_6_262,plain,
( ~ definitionFOFtoCNF_2
| ~ p(skolemFOFtoCNF_Y_51)
| ~ q(skolemFOFtoCNF_Y_50)
| s(X_380) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_55(X_380)) )],[refute_6_261,refute_6_2]) ).
cnf(refute_6_263,plain,
( ~ p(skolemFOFtoCNF_Y_51)
| ~ q(skolemFOFtoCNF_Y_50)
| s(X_380) ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_223,refute_6_262]) ).
cnf(refute_6_264,plain,
( ~ q(skolemFOFtoCNF_Y_50)
| s(X_380) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_51) )],[refute_6_228,refute_6_263]) ).
cnf(refute_6_265,plain,
r(skolemFOFtoCNF_Y_56),
inference(subst,[],[refute_6_258:[bind(X_377,$fot(skolemFOFtoCNF_Y_56))]]) ).
cnf(refute_6_266,plain,
q(skolemFOFtoCNF_X_67),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_56) )],[refute_6_265,refute_6_62]) ).
cnf(refute_6_267,plain,
q(skolemFOFtoCNF_X_70),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_67) )],[refute_6_266,refute_6_61]) ).
cnf(refute_6_268,plain,
q(Y),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_70) )],[refute_6_267,refute_6_59]) ).
cnf(refute_6_269,plain,
q(skolemFOFtoCNF_Y_50),
inference(subst,[],[refute_6_268:[bind(Y,$fot(skolemFOFtoCNF_Y_50))]]) ).
cnf(refute_6_270,plain,
s(X_380),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_50) )],[refute_6_269,refute_6_264]) ).
cnf(refute_6_271,plain,
s(skolemFOFtoCNF_Y_57),
inference(subst,[],[refute_6_270:[bind(X_380,$fot(skolemFOFtoCNF_Y_57))]]) ).
cnf(refute_6_272,plain,
$false,
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_57) )],[refute_6_271,refute_6_0]) ).
fof(negate_7_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) )
& ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
& ! [Y] : s(Y) )
=> ? [X] : r(X) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( ~ definitionFOFtoCNF_4
<=> ( ~ definitionFOFtoCNF_5
<=> ? [X] : p(X) ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_7_1,plain,
! [X] :
( ( ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| p(skolemFOFtoCNF_X_72) )
& ( ~ definitionFOFtoCNF_4
| ~ p(X)
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_5
| ~ p(X)
| definitionFOFtoCNF_4 )
& ( definitionFOFtoCNF_4
| definitionFOFtoCNF_5
| p(skolemFOFtoCNF_X_71) ) ),
inference(clausify,[],[normalize_7_0]) ).
fof(normalize_7_2,plain,
! [X] :
( ~ definitionFOFtoCNF_5
| ~ p(X)
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_7_1]) ).
fof(normalize_7_3,plain,
( ~ definitionFOFtoCNF_4
<=> ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_7_4,plain,
( ~ definitionFOFtoCNF_5
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ),
inference(simplify,[],[normalize_7_3,normalize_7_0]) ).
fof(normalize_7_5,plain,
! [X,Y,Y0] :
( ( ~ definitionFOFtoCNF_5
| ~ p(skolemFOFtoCNF_Y_60)
| ~ q(skolemFOFtoCNF_Y_61)
| ~ s(X) )
& ( ~ definitionFOFtoCNF_5
| ~ p(skolemFOFtoCNF_Y_65)
| q(Y)
| s(skolemFOFtoCNF_X_73) )
& ( ~ definitionFOFtoCNF_5
| ~ q(skolemFOFtoCNF_Y_64)
| p(Y)
| s(skolemFOFtoCNF_X_73) )
& ( ~ definitionFOFtoCNF_5
| ~ s(X)
| p(Y)
| q(Y0) )
& ( ~ p(skolemFOFtoCNF_Y_59)
| ~ s(X)
| definitionFOFtoCNF_5
| q(Y) )
& ( ~ p(skolemFOFtoCNF_Y_62)
| ~ q(skolemFOFtoCNF_Y_63)
| definitionFOFtoCNF_5
| s(skolemFOFtoCNF_X_73) )
& ( ~ q(skolemFOFtoCNF_Y_58)
| ~ s(X)
| definitionFOFtoCNF_5
| p(Y) )
& ( definitionFOFtoCNF_5
| p(Y)
| q(Y0)
| s(skolemFOFtoCNF_X_73) ) ),
inference(clausify,[],[normalize_7_4]) ).
fof(normalize_7_6,plain,
! [X,Y] :
( ~ p(skolemFOFtoCNF_Y_59)
| ~ s(X)
| definitionFOFtoCNF_5
| q(Y) ),
inference(conjunct,[],[normalize_7_5]) ).
fof(normalize_7_7,plain,
( ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
& ! [X] : ~ r(X)
& ! [Y] : s(Y) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_8,plain,
! [Y] : s(Y),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_9,plain,
! [Y] : s(Y),
inference(specialize,[],[normalize_7_8]) ).
fof(normalize_7_10,plain,
( ? [X] : q(X)
<=> ! [Y] : r(Y) ),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_11,plain,
! [X,Y] :
( ( ~ q(X)
| r(Y) )
& ( ~ r(skolemFOFtoCNF_Y_69)
| q(skolemFOFtoCNF_X_77) ) ),
inference(clausify,[],[normalize_7_10]) ).
fof(normalize_7_12,plain,
! [X,Y] :
( ~ q(X)
| r(Y) ),
inference(conjunct,[],[normalize_7_11]) ).
fof(normalize_7_13,plain,
! [X] : ~ r(X),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_14,plain,
! [X] : ~ r(X),
inference(specialize,[],[normalize_7_13]) ).
fof(normalize_7_15,plain,
( definitionFOFtoCNF_4
| definitionFOFtoCNF_5
| p(skolemFOFtoCNF_X_71) ),
inference(conjunct,[],[normalize_7_1]) ).
fof(normalize_7_16,plain,
( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ) ),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_17,plain,
( ~ definitionFOFtoCNF_4
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) ) ) ),
inference(simplify,[],[normalize_7_16,normalize_7_0,normalize_7_4]) ).
fof(normalize_7_18,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_6(X,Y)
<=> ( ~ r(X)
<=> ~ r(Y) ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_7_19,plain,
( ~ definitionFOFtoCNF_4
<=> ( ? [X] :
! [Y] : ~ definitionFOFtoCNF_6(X,Y)
<=> ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) ) ) ),
inference(simplify,[],[normalize_7_17,normalize_7_18]) ).
fof(normalize_7_20,plain,
! [X,X0,Y,Y0] :
( ( ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_6(skolemFOFtoCNF_X_75,Y0)
| ~ s(Y)
| s(skolemFOFtoCNF_X_74) )
& ( ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_6(skolemFOFtoCNF_X_75,Y0)
| ~ s(skolemFOFtoCNF_X_74)
| s(Y) )
& ( ~ definitionFOFtoCNF_4
| ~ s(X)
| ~ s(skolemFOFtoCNF_Y_67(X))
| definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0)) )
& ( ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0))
| s(X)
| s(skolemFOFtoCNF_Y_67(X)) )
& ( ~ definitionFOFtoCNF_6(skolemFOFtoCNF_X_75,Y0)
| ~ s(X)
| ~ s(skolemFOFtoCNF_Y_66(X))
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_6(skolemFOFtoCNF_X_75,Y0)
| definitionFOFtoCNF_4
| s(X)
| s(skolemFOFtoCNF_Y_66(X)) )
& ( ~ s(Y)
| definitionFOFtoCNF_4
| definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0))
| s(skolemFOFtoCNF_X_76) )
& ( ~ s(skolemFOFtoCNF_X_76)
| definitionFOFtoCNF_4
| definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0))
| s(Y) ) ),
inference(clausify,[],[normalize_7_19]) ).
fof(normalize_7_21,plain,
! [X,X0] :
( ~ definitionFOFtoCNF_4
| ~ s(X)
| ~ s(skolemFOFtoCNF_Y_67(X))
| definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0)) ),
inference(conjunct,[],[normalize_7_20]) ).
fof(normalize_7_22,plain,
! [X,Y] :
( ( ~ definitionFOFtoCNF_6(X,Y)
| ~ r(X)
| ~ r(Y) )
& ( ~ definitionFOFtoCNF_6(X,Y)
| r(X)
| r(Y) )
& ( ~ r(X)
| definitionFOFtoCNF_6(X,Y)
| r(Y) )
& ( ~ r(Y)
| definitionFOFtoCNF_6(X,Y)
| r(X) ) ),
inference(clausify,[],[normalize_7_18]) ).
fof(normalize_7_23,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_6(X,Y)
| r(X)
| r(Y) ),
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_24,plain,
? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) ),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_25,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_78) ),
inference(skolemize,[],[normalize_7_24]) ).
fof(normalize_7_26,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_78) ),
inference(specialize,[],[normalize_7_25]) ).
fof(normalize_7_27,plain,
! [Y] :
( ( ~ p(Y)
| p(skolemFOFtoCNF_X_78) )
& ( ~ p(skolemFOFtoCNF_X_78)
| p(Y) ) ),
inference(clausify,[],[normalize_7_26]) ).
fof(normalize_7_28,plain,
! [Y] :
( ~ p(Y)
| p(skolemFOFtoCNF_X_78) ),
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_29,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_X_78)
| p(Y) ),
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_30,plain,
! [X,Y,Y0] :
( ~ definitionFOFtoCNF_5
| ~ s(X)
| p(Y)
| q(Y0) ),
inference(conjunct,[],[normalize_7_5]) ).
cnf(refute_7_0,plain,
( ~ definitionFOFtoCNF_5
| ~ p(X)
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_7_2]) ).
cnf(refute_7_1,plain,
( ~ p(skolemFOFtoCNF_Y_59)
| ~ s(X)
| definitionFOFtoCNF_5
| q(Y) ),
inference(canonicalize,[],[normalize_7_6]) ).
cnf(refute_7_2,plain,
s(Y),
inference(canonicalize,[],[normalize_7_9]) ).
cnf(refute_7_3,plain,
s(X),
inference(subst,[],[refute_7_2:[bind(Y,$fot(X))]]) ).
cnf(refute_7_4,plain,
( ~ p(skolemFOFtoCNF_Y_59)
| definitionFOFtoCNF_5
| q(Y) ),
inference(resolve,[$cnf( s(X) )],[refute_7_3,refute_7_1]) ).
cnf(refute_7_5,plain,
( ~ q(X)
| r(Y) ),
inference(canonicalize,[],[normalize_7_12]) ).
cnf(refute_7_6,plain,
~ r(X),
inference(canonicalize,[],[normalize_7_14]) ).
cnf(refute_7_7,plain,
~ r(Y),
inference(subst,[],[refute_7_6:[bind(X,$fot(Y))]]) ).
cnf(refute_7_8,plain,
~ q(X),
inference(resolve,[$cnf( r(Y) )],[refute_7_5,refute_7_7]) ).
cnf(refute_7_9,plain,
~ q(Y),
inference(subst,[],[refute_7_8:[bind(X,$fot(Y))]]) ).
cnf(refute_7_10,plain,
( ~ p(skolemFOFtoCNF_Y_59)
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( q(Y) )],[refute_7_4,refute_7_9]) ).
cnf(refute_7_11,plain,
( definitionFOFtoCNF_4
| definitionFOFtoCNF_5
| p(skolemFOFtoCNF_X_71) ),
inference(canonicalize,[],[normalize_7_15]) ).
cnf(refute_7_12,plain,
( ~ definitionFOFtoCNF_4
| ~ s(X)
| ~ s(skolemFOFtoCNF_Y_67(X))
| definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0)) ),
inference(canonicalize,[],[normalize_7_21]) ).
cnf(refute_7_13,plain,
( ~ definitionFOFtoCNF_4
| ~ s(skolemFOFtoCNF_Y_67(X))
| definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0)) ),
inference(resolve,[$cnf( s(X) )],[refute_7_3,refute_7_12]) ).
cnf(refute_7_14,plain,
s(skolemFOFtoCNF_Y_67(X)),
inference(subst,[],[refute_7_2:[bind(Y,$fot(skolemFOFtoCNF_Y_67(X)))]]) ).
cnf(refute_7_15,plain,
( ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_67(X)) )],[refute_7_14,refute_7_13]) ).
cnf(refute_7_16,plain,
( ~ definitionFOFtoCNF_6(X,Y)
| r(X)
| r(Y) ),
inference(canonicalize,[],[normalize_7_23]) ).
cnf(refute_7_17,plain,
( ~ definitionFOFtoCNF_6(X,Y)
| r(Y) ),
inference(resolve,[$cnf( r(X) )],[refute_7_16,refute_7_6]) ).
cnf(refute_7_18,plain,
~ definitionFOFtoCNF_6(X,Y),
inference(resolve,[$cnf( r(Y) )],[refute_7_17,refute_7_7]) ).
cnf(refute_7_19,plain,
~ definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0)),
inference(subst,[],[refute_7_18:[bind(X,$fot(X0)),bind(Y,$fot(skolemFOFtoCNF_Y_68(X0)))]]) ).
cnf(refute_7_20,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_6(X0,skolemFOFtoCNF_Y_68(X0)) )],[refute_7_15,refute_7_19]) ).
cnf(refute_7_21,plain,
( definitionFOFtoCNF_5
| p(skolemFOFtoCNF_X_71) ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_7_11,refute_7_20]) ).
cnf(refute_7_22,plain,
( ~ p(Y)
| p(skolemFOFtoCNF_X_78) ),
inference(canonicalize,[],[normalize_7_28]) ).
cnf(refute_7_23,plain,
( ~ p(skolemFOFtoCNF_X_71)
| p(skolemFOFtoCNF_X_78) ),
inference(subst,[],[refute_7_22:[bind(Y,$fot(skolemFOFtoCNF_X_71))]]) ).
cnf(refute_7_24,plain,
( definitionFOFtoCNF_5
| p(skolemFOFtoCNF_X_78) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_71) )],[refute_7_21,refute_7_23]) ).
cnf(refute_7_25,plain,
( ~ p(skolemFOFtoCNF_X_78)
| p(Y) ),
inference(canonicalize,[],[normalize_7_29]) ).
cnf(refute_7_26,plain,
( ~ p(skolemFOFtoCNF_X_78)
| p(X_389) ),
inference(subst,[],[refute_7_25:[bind(Y,$fot(X_389))]]) ).
cnf(refute_7_27,plain,
( definitionFOFtoCNF_5
| p(X_389) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_78) )],[refute_7_24,refute_7_26]) ).
cnf(refute_7_28,plain,
( definitionFOFtoCNF_5
| p(skolemFOFtoCNF_Y_59) ),
inference(subst,[],[refute_7_27:[bind(X_389,$fot(skolemFOFtoCNF_Y_59))]]) ).
cnf(refute_7_29,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_59) )],[refute_7_28,refute_7_10]) ).
cnf(refute_7_30,plain,
( ~ p(X)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_7_29,refute_7_0]) ).
cnf(refute_7_31,plain,
( ~ definitionFOFtoCNF_5
| ~ s(X)
| p(Y)
| q(Y0) ),
inference(canonicalize,[],[normalize_7_30]) ).
cnf(refute_7_32,plain,
( ~ definitionFOFtoCNF_5
| p(Y)
| q(Y0) ),
inference(resolve,[$cnf( s(X) )],[refute_7_3,refute_7_31]) ).
cnf(refute_7_33,plain,
~ q(Y0),
inference(subst,[],[refute_7_8:[bind(X,$fot(Y0))]]) ).
cnf(refute_7_34,plain,
( ~ definitionFOFtoCNF_5
| p(Y) ),
inference(resolve,[$cnf( q(Y0) )],[refute_7_32,refute_7_33]) ).
cnf(refute_7_35,plain,
p(Y),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_7_29,refute_7_34]) ).
cnf(refute_7_36,plain,
p(X),
inference(subst,[],[refute_7_35:[bind(Y,$fot(X))]]) ).
cnf(refute_7_37,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( p(X) )],[refute_7_36,refute_7_30]) ).
cnf(refute_7_38,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_7_37,refute_7_20]) ).
fof(negate_8_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) )
& ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
=> ? [X] :
! [Y] :
( q(X)
<=> q(Y) ) ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ) )
& ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
& ( ? [X] : r(X)
<=> ! [Y] : s(Y) )
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ! [X] :
? [Y] :
( ~ q(X)
<=> q(Y) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_1,plain,
( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ) ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_2,plain,
( ~ definitionFOFtoCNF_7
<=> ( ~ definitionFOFtoCNF_8
<=> ? [X] : p(X) ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_8_3,plain,
( ~ definitionFOFtoCNF_7
<=> ( ? [X] : p(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_8_4,plain,
( ~ definitionFOFtoCNF_8
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ? [Y] : ~ q(Y) ) ) ),
inference(simplify,[],[normalize_8_3,normalize_8_2]) ).
fof(normalize_8_5,plain,
( ~ definitionFOFtoCNF_7
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) ) ) ),
inference(simplify,[],[normalize_8_1,normalize_8_2,normalize_8_4]) ).
fof(normalize_8_6,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_9(X,Y)
<=> ( ~ r(X)
<=> ~ r(Y) ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_8_7,plain,
( ~ definitionFOFtoCNF_7
<=> ( ? [X] :
! [Y] : ~ definitionFOFtoCNF_9(X,Y)
<=> ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) ) ) ),
inference(simplify,[],[normalize_8_5,normalize_8_6]) ).
fof(normalize_8_8,plain,
! [X,X0,Y,Y0] :
( ( ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_9(skolemFOFtoCNF_X_83,Y)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_84) )
& ( ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_9(skolemFOFtoCNF_X_83,Y)
| ~ s(skolemFOFtoCNF_X_84)
| s(Y0) )
& ( ~ definitionFOFtoCNF_7
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_78(X0))
| definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_77(X)) )
& ( ~ definitionFOFtoCNF_7
| definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_77(X))
| s(X0)
| s(skolemFOFtoCNF_Y_78(X0)) )
& ( ~ definitionFOFtoCNF_9(skolemFOFtoCNF_X_85,Y)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_78(X0))
| definitionFOFtoCNF_7 )
& ( ~ definitionFOFtoCNF_9(skolemFOFtoCNF_X_85,Y)
| definitionFOFtoCNF_7
| s(X0)
| s(skolemFOFtoCNF_Y_78(X0)) )
& ( ~ s(Y0)
| definitionFOFtoCNF_7
| definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_76(X))
| s(skolemFOFtoCNF_X_84) )
& ( ~ s(skolemFOFtoCNF_X_84)
| definitionFOFtoCNF_7
| definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_76(X))
| s(Y0) ) ),
inference(clausify,[],[normalize_8_7]) ).
fof(normalize_8_9,plain,
! [X,X0] :
( ~ definitionFOFtoCNF_7
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_78(X0))
| definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_77(X)) ),
inference(conjunct,[],[normalize_8_8]) ).
fof(normalize_8_10,plain,
( ? [X] : q(X)
<=> ! [Y] : r(Y) ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_11,plain,
! [X,Y] :
( ( ~ q(X)
| r(Y) )
& ( ~ r(skolemFOFtoCNF_Y_79)
| q(skolemFOFtoCNF_X_86) ) ),
inference(clausify,[],[normalize_8_10]) ).
fof(normalize_8_12,plain,
( ~ r(skolemFOFtoCNF_Y_79)
| q(skolemFOFtoCNF_X_86) ),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_13,plain,
! [X] :
? [Y] :
( ~ q(X)
<=> q(Y) ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_14,plain,
! [X] :
? [Y] :
( ~ q(X)
<=> q(Y) ),
inference(specialize,[],[normalize_8_13]) ).
fof(normalize_8_15,plain,
! [X] :
( ~ q(X)
<=> q(skolemFOFtoCNF_Y_81(X)) ),
inference(skolemize,[],[normalize_8_14]) ).
fof(normalize_8_16,plain,
! [X] :
( ( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_81(X)) )
& ( q(X)
| q(skolemFOFtoCNF_Y_81(X)) ) ),
inference(clausify,[],[normalize_8_15]) ).
fof(normalize_8_17,plain,
! [X] :
( q(X)
| q(skolemFOFtoCNF_Y_81(X)) ),
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_18,plain,
! [X,Y] :
( ~ q(X)
| r(Y) ),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_19,plain,
! [X] :
( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_81(X)) ),
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_20,plain,
! [X] :
( ( ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| p(skolemFOFtoCNF_X_81) )
& ( ~ definitionFOFtoCNF_7
| ~ p(X)
| definitionFOFtoCNF_8 )
& ( ~ definitionFOFtoCNF_8
| ~ p(X)
| definitionFOFtoCNF_7 )
& ( definitionFOFtoCNF_7
| definitionFOFtoCNF_8
| p(skolemFOFtoCNF_X_80) ) ),
inference(clausify,[],[normalize_8_2]) ).
fof(normalize_8_21,plain,
( definitionFOFtoCNF_7
| definitionFOFtoCNF_8
| p(skolemFOFtoCNF_X_80) ),
inference(conjunct,[],[normalize_8_20]) ).
fof(normalize_8_22,plain,
? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_23,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_88) ),
inference(skolemize,[],[normalize_8_22]) ).
fof(normalize_8_24,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_88) ),
inference(specialize,[],[normalize_8_23]) ).
fof(normalize_8_25,plain,
! [Y] :
( ( ~ p(Y)
| p(skolemFOFtoCNF_X_88) )
& ( ~ p(skolemFOFtoCNF_X_88)
| p(Y) ) ),
inference(clausify,[],[normalize_8_24]) ).
fof(normalize_8_26,plain,
! [Y] :
( ~ p(Y)
| p(skolemFOFtoCNF_X_88) ),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_27,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_X_88)
| p(Y) ),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_28,plain,
! [X,Y,Y0] :
( ( ~ definitionFOFtoCNF_8
| ~ p(skolemFOFtoCNF_Y_71)
| ~ q(skolemFOFtoCNF_Y_70)
| ~ s(X) )
& ( ~ definitionFOFtoCNF_8
| ~ p(skolemFOFtoCNF_Y_75)
| q(Y)
| s(skolemFOFtoCNF_X_82) )
& ( ~ definitionFOFtoCNF_8
| ~ q(skolemFOFtoCNF_Y_73)
| p(Y0)
| s(skolemFOFtoCNF_X_82) )
& ( ~ definitionFOFtoCNF_8
| ~ s(X)
| p(Y0)
| q(Y) )
& ( ~ p(skolemFOFtoCNF_Y_71)
| ~ s(X)
| definitionFOFtoCNF_8
| q(Y) )
& ( ~ p(skolemFOFtoCNF_Y_75)
| ~ q(skolemFOFtoCNF_Y_74)
| definitionFOFtoCNF_8
| s(skolemFOFtoCNF_X_82) )
& ( ~ q(skolemFOFtoCNF_Y_72)
| ~ s(X)
| definitionFOFtoCNF_8
| p(Y0) )
& ( definitionFOFtoCNF_8
| p(Y0)
| q(Y)
| s(skolemFOFtoCNF_X_82) ) ),
inference(clausify,[],[normalize_8_4]) ).
fof(normalize_8_29,plain,
! [X,Y] :
( ~ p(skolemFOFtoCNF_Y_71)
| ~ s(X)
| definitionFOFtoCNF_8
| q(Y) ),
inference(conjunct,[],[normalize_8_28]) ).
fof(normalize_8_30,plain,
( ? [X] : r(X)
<=> ! [Y] : s(Y) ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_31,plain,
! [X,Y] :
( ( ~ r(X)
| s(Y) )
& ( ~ s(skolemFOFtoCNF_Y_80)
| r(skolemFOFtoCNF_X_87) ) ),
inference(clausify,[],[normalize_8_30]) ).
fof(normalize_8_32,plain,
! [X,Y] :
( ~ r(X)
| s(Y) ),
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_33,plain,
! [X] :
( ~ definitionFOFtoCNF_8
| ~ p(X)
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_8_20]) ).
fof(normalize_8_34,plain,
! [X,Y,Y0] :
( ~ definitionFOFtoCNF_8
| ~ s(X)
| p(Y0)
| q(Y) ),
inference(conjunct,[],[normalize_8_28]) ).
fof(normalize_8_35,plain,
! [X,Y] :
( ( ~ definitionFOFtoCNF_9(X,Y)
| ~ r(X)
| ~ r(Y) )
& ( ~ definitionFOFtoCNF_9(X,Y)
| r(X)
| r(Y) )
& ( ~ r(X)
| definitionFOFtoCNF_9(X,Y)
| r(Y) )
& ( ~ r(Y)
| definitionFOFtoCNF_9(X,Y)
| r(X) ) ),
inference(clausify,[],[normalize_8_6]) ).
fof(normalize_8_36,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_9(X,Y)
| ~ r(X)
| ~ r(Y) ),
inference(conjunct,[],[normalize_8_35]) ).
cnf(refute_8_0,plain,
( ~ definitionFOFtoCNF_7
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_78(X0))
| definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_77(X)) ),
inference(canonicalize,[],[normalize_8_9]) ).
cnf(refute_8_1,plain,
( ~ r(skolemFOFtoCNF_Y_79)
| q(skolemFOFtoCNF_X_86) ),
inference(canonicalize,[],[normalize_8_12]) ).
cnf(refute_8_2,plain,
( q(X)
| q(skolemFOFtoCNF_Y_81(X)) ),
inference(canonicalize,[],[normalize_8_17]) ).
cnf(refute_8_3,plain,
( ~ q(X)
| r(Y) ),
inference(canonicalize,[],[normalize_8_18]) ).
cnf(refute_8_4,plain,
( ~ q(skolemFOFtoCNF_Y_81(X))
| r(X_399) ),
inference(subst,[],[refute_8_3:[bind(X,$fot(skolemFOFtoCNF_Y_81(X))),bind(Y,$fot(X_399))]]) ).
cnf(refute_8_5,plain,
( q(X)
| r(X_399) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_81(X)) )],[refute_8_2,refute_8_4]) ).
cnf(refute_8_6,plain,
( q(X_403)
| r(skolemFOFtoCNF_Y_79) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(X_403)),bind(X_399,$fot(skolemFOFtoCNF_Y_79))]]) ).
cnf(refute_8_7,plain,
( q(X_403)
| q(skolemFOFtoCNF_X_86) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_79) )],[refute_8_6,refute_8_1]) ).
cnf(refute_8_8,plain,
q(skolemFOFtoCNF_X_86),
inference(subst,[],[refute_8_7:[bind(X_403,$fot(skolemFOFtoCNF_X_86))]]) ).
cnf(refute_8_9,plain,
( ~ q(X)
| ~ q(skolemFOFtoCNF_Y_81(X)) ),
inference(canonicalize,[],[normalize_8_19]) ).
cnf(refute_8_10,plain,
( definitionFOFtoCNF_7
| definitionFOFtoCNF_8
| p(skolemFOFtoCNF_X_80) ),
inference(canonicalize,[],[normalize_8_21]) ).
cnf(refute_8_11,plain,
( ~ p(Y)
| p(skolemFOFtoCNF_X_88) ),
inference(canonicalize,[],[normalize_8_26]) ).
cnf(refute_8_12,plain,
( ~ p(skolemFOFtoCNF_X_80)
| p(skolemFOFtoCNF_X_88) ),
inference(subst,[],[refute_8_11:[bind(Y,$fot(skolemFOFtoCNF_X_80))]]) ).
cnf(refute_8_13,plain,
( definitionFOFtoCNF_7
| definitionFOFtoCNF_8
| p(skolemFOFtoCNF_X_88) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_80) )],[refute_8_10,refute_8_12]) ).
cnf(refute_8_14,plain,
( ~ p(skolemFOFtoCNF_X_88)
| p(Y) ),
inference(canonicalize,[],[normalize_8_27]) ).
cnf(refute_8_15,plain,
( ~ p(skolemFOFtoCNF_X_88)
| p(X_393) ),
inference(subst,[],[refute_8_14:[bind(Y,$fot(X_393))]]) ).
cnf(refute_8_16,plain,
( definitionFOFtoCNF_7
| definitionFOFtoCNF_8
| p(X_393) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_88) )],[refute_8_13,refute_8_15]) ).
cnf(refute_8_17,plain,
( definitionFOFtoCNF_7
| definitionFOFtoCNF_8
| p(skolemFOFtoCNF_Y_71) ),
inference(subst,[],[refute_8_16:[bind(X_393,$fot(skolemFOFtoCNF_Y_71))]]) ).
cnf(refute_8_18,plain,
( ~ p(skolemFOFtoCNF_Y_71)
| ~ s(X)
| definitionFOFtoCNF_8
| q(Y) ),
inference(canonicalize,[],[normalize_8_29]) ).
cnf(refute_8_19,plain,
( ~ r(X)
| s(Y) ),
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_20,plain,
( ~ r(X_405)
| s(Y) ),
inference(subst,[],[refute_8_19:[bind(X,$fot(X_405))]]) ).
cnf(refute_8_21,plain,
( ~ q(X_403)
| r(Y) ),
inference(subst,[],[refute_8_3:[bind(X,$fot(X_403))]]) ).
cnf(refute_8_22,plain,
( q(X_403)
| r(X_404) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(X_403)),bind(X_399,$fot(X_404))]]) ).
cnf(refute_8_23,plain,
( r(Y)
| r(X_404) ),
inference(resolve,[$cnf( q(X_403) )],[refute_8_22,refute_8_21]) ).
cnf(refute_8_24,plain,
r(X_405),
inference(subst,[],[refute_8_23:[bind(Y,$fot(X_405)),bind(X_404,$fot(X_405))]]) ).
cnf(refute_8_25,plain,
s(Y),
inference(resolve,[$cnf( r(X_405) )],[refute_8_24,refute_8_20]) ).
cnf(refute_8_26,plain,
s(X),
inference(subst,[],[refute_8_25:[bind(Y,$fot(X))]]) ).
cnf(refute_8_27,plain,
( ~ p(skolemFOFtoCNF_Y_71)
| definitionFOFtoCNF_8
| q(Y) ),
inference(resolve,[$cnf( s(X) )],[refute_8_26,refute_8_18]) ).
cnf(refute_8_28,plain,
( ~ p(skolemFOFtoCNF_Y_71)
| definitionFOFtoCNF_8
| q(X_409) ),
inference(subst,[],[refute_8_27:[bind(Y,$fot(X_409))]]) ).
cnf(refute_8_29,plain,
( definitionFOFtoCNF_7
| definitionFOFtoCNF_8
| q(X_409) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_71) )],[refute_8_17,refute_8_28]) ).
cnf(refute_8_30,plain,
( definitionFOFtoCNF_7
| definitionFOFtoCNF_8
| q(skolemFOFtoCNF_Y_81(X)) ),
inference(subst,[],[refute_8_29:[bind(X_409,$fot(skolemFOFtoCNF_Y_81(X)))]]) ).
cnf(refute_8_31,plain,
( ~ q(X)
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_81(X)) )],[refute_8_30,refute_8_9]) ).
cnf(refute_8_32,plain,
( ~ q(skolemFOFtoCNF_X_86)
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(subst,[],[refute_8_31:[bind(X,$fot(skolemFOFtoCNF_X_86))]]) ).
cnf(refute_8_33,plain,
( definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_86) )],[refute_8_8,refute_8_32]) ).
cnf(refute_8_34,plain,
( ~ definitionFOFtoCNF_8
| ~ p(X)
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_8_33]) ).
cnf(refute_8_35,plain,
( ~ definitionFOFtoCNF_8
| ~ p(X_416)
| definitionFOFtoCNF_7 ),
inference(subst,[],[refute_8_34:[bind(X,$fot(X_416))]]) ).
cnf(refute_8_36,plain,
( ~ definitionFOFtoCNF_8
| ~ s(X)
| p(Y0)
| q(Y) ),
inference(canonicalize,[],[normalize_8_34]) ).
cnf(refute_8_37,plain,
( ~ definitionFOFtoCNF_8
| p(Y0)
| q(Y) ),
inference(resolve,[$cnf( s(X) )],[refute_8_26,refute_8_36]) ).
cnf(refute_8_38,plain,
( ~ definitionFOFtoCNF_8
| p(X_414)
| q(X_413) ),
inference(subst,[],[refute_8_37:[bind(Y,$fot(X_413)),bind(Y0,$fot(X_414))]]) ).
cnf(refute_8_39,plain,
( definitionFOFtoCNF_7
| p(X_414)
| q(X_413) ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_8_33,refute_8_38]) ).
cnf(refute_8_40,plain,
( definitionFOFtoCNF_7
| p(X_416)
| q(X_415) ),
inference(subst,[],[refute_8_39:[bind(X_413,$fot(X_415)),bind(X_414,$fot(X_416))]]) ).
cnf(refute_8_41,plain,
( ~ definitionFOFtoCNF_8
| definitionFOFtoCNF_7
| q(X_415) ),
inference(resolve,[$cnf( p(X_416) )],[refute_8_40,refute_8_35]) ).
cnf(refute_8_42,plain,
( ~ definitionFOFtoCNF_8
| definitionFOFtoCNF_7
| q(X_417) ),
inference(subst,[],[refute_8_41:[bind(X_415,$fot(X_417))]]) ).
cnf(refute_8_43,plain,
( definitionFOFtoCNF_7
| q(X_417) ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_8_33,refute_8_42]) ).
cnf(refute_8_44,plain,
( definitionFOFtoCNF_7
| q(skolemFOFtoCNF_Y_81(X)) ),
inference(subst,[],[refute_8_43:[bind(X_417,$fot(skolemFOFtoCNF_Y_81(X)))]]) ).
cnf(refute_8_45,plain,
( ~ q(X)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_81(X)) )],[refute_8_44,refute_8_9]) ).
cnf(refute_8_46,plain,
( ~ q(skolemFOFtoCNF_X_86)
| definitionFOFtoCNF_7 ),
inference(subst,[],[refute_8_45:[bind(X,$fot(skolemFOFtoCNF_X_86))]]) ).
cnf(refute_8_47,plain,
definitionFOFtoCNF_7,
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_86) )],[refute_8_8,refute_8_46]) ).
cnf(refute_8_48,plain,
( ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_78(X0))
| definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_77(X)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_8_47,refute_8_0]) ).
cnf(refute_8_49,plain,
s(X0),
inference(subst,[],[refute_8_25:[bind(Y,$fot(X0))]]) ).
cnf(refute_8_50,plain,
( ~ s(skolemFOFtoCNF_Y_78(X0))
| definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_77(X)) ),
inference(resolve,[$cnf( s(X0) )],[refute_8_49,refute_8_48]) ).
cnf(refute_8_51,plain,
s(skolemFOFtoCNF_Y_78(X0)),
inference(subst,[],[refute_8_25:[bind(Y,$fot(skolemFOFtoCNF_Y_78(X0)))]]) ).
cnf(refute_8_52,plain,
definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_77(X)),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_78(X0)) )],[refute_8_51,refute_8_50]) ).
cnf(refute_8_53,plain,
( ~ definitionFOFtoCNF_9(X,Y)
| ~ r(X)
| ~ r(Y) ),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_54,plain,
( ~ q(skolemFOFtoCNF_X_86)
| r(Y) ),
inference(subst,[],[refute_8_3:[bind(X,$fot(skolemFOFtoCNF_X_86))]]) ).
cnf(refute_8_55,plain,
r(Y),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_86) )],[refute_8_8,refute_8_54]) ).
cnf(refute_8_56,plain,
r(X),
inference(subst,[],[refute_8_55:[bind(Y,$fot(X))]]) ).
cnf(refute_8_57,plain,
( ~ definitionFOFtoCNF_9(X,Y)
| ~ r(Y) ),
inference(resolve,[$cnf( r(X) )],[refute_8_56,refute_8_53]) ).
cnf(refute_8_58,plain,
~ definitionFOFtoCNF_9(X,Y),
inference(resolve,[$cnf( r(Y) )],[refute_8_55,refute_8_57]) ).
cnf(refute_8_59,plain,
~ definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_77(X)),
inference(subst,[],[refute_8_58:[bind(Y,$fot(skolemFOFtoCNF_Y_77(X)))]]) ).
cnf(refute_8_60,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_9(X,skolemFOFtoCNF_Y_77(X)) )],[refute_8_52,refute_8_59]) ).
fof(negate_9_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
<=> ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) ) )
& ? [X] : q(X) )
=> ! [Y] : r(Y) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( ~ definitionFOFtoCNF_10
<=> ( ? [X] : p(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ? [Y] : ~ s(Y) ) ) ) ) ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_9_1,plain,
( ~ definitionFOFtoCNF_10
<=> ( ~ definitionFOFtoCNF_11
<=> ( ? [X] : p(X)
<=> ! [X] : ~ r(X) ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_9_2,plain,
( ~ definitionFOFtoCNF_11
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ) ),
inference(simplify,[],[normalize_9_0,normalize_9_1]) ).
fof(normalize_9_3,plain,
( ~ definitionFOFtoCNF_11
<=> ( ~ definitionFOFtoCNF_12
<=> ? [X] : s(X) ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_9_4,plain,
( ~ definitionFOFtoCNF_12
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ),
inference(simplify,[],[normalize_9_2,normalize_9_3]) ).
fof(normalize_9_5,plain,
! [Y,Y0,Y1] :
( ( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_84)
| ~ s(skolemFOFtoCNF_Y_85) )
& ( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| q(Y)
| s(Y0) )
& ( ~ definitionFOFtoCNF_12
| ~ q(skolemFOFtoCNF_Y_90)
| p(Y1)
| s(Y) )
& ( ~ definitionFOFtoCNF_12
| ~ s(skolemFOFtoCNF_Y_89)
| p(Y1)
| q(Y) )
& ( ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_83)
| definitionFOFtoCNF_12
| s(Y) )
& ( ~ p(skolemFOFtoCNF_Y_86)
| ~ s(skolemFOFtoCNF_Y_82)
| definitionFOFtoCNF_12
| q(Y) )
& ( ~ q(skolemFOFtoCNF_Y_87)
| ~ s(skolemFOFtoCNF_Y_88)
| definitionFOFtoCNF_12
| p(Y1) )
& ( definitionFOFtoCNF_12
| p(Y1)
| q(Y)
| s(Y0) ) ),
inference(clausify,[],[normalize_9_4]) ).
fof(normalize_9_6,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_84)
| ~ s(skolemFOFtoCNF_Y_85) ),
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_7,plain,
! [X,X0] :
( ( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ p(X0)
| ~ r(X) )
& ( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_90) )
& ( ~ definitionFOFtoCNF_10
| ~ p(X0)
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_93) )
& ( ~ definitionFOFtoCNF_10
| ~ r(X)
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) )
& ( ~ definitionFOFtoCNF_11
| ~ p(X0)
| definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_92) )
& ( ~ definitionFOFtoCNF_11
| ~ r(X)
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) )
& ( ~ p(X0)
| ~ r(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 )
& ( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_89) ) ),
inference(clausify,[],[normalize_9_1]) ).
fof(normalize_9_8,plain,
! [X,X0] :
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ p(X0)
| ~ r(X) ),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_9,plain,
! [Y,Y1] :
( ~ definitionFOFtoCNF_12
| ~ q(skolemFOFtoCNF_Y_90)
| p(Y1)
| s(Y) ),
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_10,plain,
( ~ definitionFOFtoCNF_10
<=> ( ~ definitionFOFtoCNF_13
<=> ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_9_11,plain,
! [X,Y] :
( ( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| ~ q(Y)
| q(skolemFOFtoCNF_X_97) )
& ( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_97)
| q(Y) )
& ( ~ definitionFOFtoCNF_10
| ~ q(X)
| ~ q(skolemFOFtoCNF_Y_92(X))
| definitionFOFtoCNF_13 )
& ( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(X)
| q(skolemFOFtoCNF_Y_92(X)) )
& ( ~ definitionFOFtoCNF_13
| ~ q(X)
| ~ q(skolemFOFtoCNF_Y_91(X))
| definitionFOFtoCNF_10 )
& ( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| q(X)
| q(skolemFOFtoCNF_Y_91(X)) )
& ( ~ q(Y)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_X_96) )
& ( ~ q(skolemFOFtoCNF_X_96)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(Y) ) ),
inference(clausify,[],[normalize_9_10]) ).
fof(normalize_9_12,plain,
! [Y] :
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_97)
| q(Y) ),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_13,plain,
( ( ? [X] : p(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ) ) ) ) ) )
& ? [X] : q(X)
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ? [Y] : ~ r(Y) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_14,plain,
? [X] : q(X),
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_15,plain,
q(skolemFOFtoCNF_X_101),
inference(skolemize,[],[normalize_9_14]) ).
fof(normalize_9_16,plain,
! [Y] :
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| ~ q(Y)
| q(skolemFOFtoCNF_X_97) ),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_17,plain,
? [Y] : ~ r(Y),
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_18,plain,
~ r(skolemFOFtoCNF_Y_96),
inference(skolemize,[],[normalize_9_17]) ).
fof(normalize_9_19,plain,
? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) ),
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_20,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_102) ),
inference(skolemize,[],[normalize_9_19]) ).
fof(normalize_9_21,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_102) ),
inference(specialize,[],[normalize_9_20]) ).
fof(normalize_9_22,plain,
! [Y] :
( ( ~ p(Y)
| p(skolemFOFtoCNF_X_102) )
& ( ~ p(skolemFOFtoCNF_X_102)
| p(Y) ) ),
inference(clausify,[],[normalize_9_21]) ).
fof(normalize_9_23,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_X_102)
| p(Y) ),
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_24,plain,
! [Y] :
( ~ p(Y)
| p(skolemFOFtoCNF_X_102) ),
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_25,plain,
! [X] :
( ~ definitionFOFtoCNF_10
| ~ q(X)
| ~ q(skolemFOFtoCNF_Y_92(X))
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_26,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_90) ),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_27,plain,
! [X] :
( ~ definitionFOFtoCNF_10
| ~ r(X)
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_28,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_14(X,Y)
<=> ( ~ r(X)
<=> ~ r(Y) ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_9_29,plain,
! [X,Y] :
( ( ~ definitionFOFtoCNF_14(X,Y)
| ~ r(X)
| ~ r(Y) )
& ( ~ definitionFOFtoCNF_14(X,Y)
| r(X)
| r(Y) )
& ( ~ r(X)
| definitionFOFtoCNF_14(X,Y)
| r(Y) )
& ( ~ r(Y)
| definitionFOFtoCNF_14(X,Y)
| r(X) ) ),
inference(clausify,[],[normalize_9_28]) ).
fof(normalize_9_30,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_14(X,Y)
| r(X)
| r(Y) ),
inference(conjunct,[],[normalize_9_29]) ).
fof(normalize_9_31,plain,
! [X0] :
( ~ definitionFOFtoCNF_10
| ~ p(X0)
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_93) ),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_32,plain,
! [Y,Y0,Y1] :
( definitionFOFtoCNF_12
| p(Y1)
| q(Y)
| s(Y0) ),
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_33,plain,
( ? [X] : p(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_34,plain,
( ~ definitionFOFtoCNF_10
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ! [X] :
? [Y] :
( ~ s(X)
<=> s(Y) ) ) ) ),
inference(simplify,[],[normalize_9_33,normalize_9_1,normalize_9_3,normalize_9_4]) ).
fof(normalize_9_35,plain,
( ~ definitionFOFtoCNF_13
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ! [X] :
? [Y] :
( ~ s(X)
<=> s(Y) ) ) ),
inference(simplify,[],[normalize_9_34,normalize_9_10]) ).
fof(normalize_9_36,plain,
( ~ definitionFOFtoCNF_13
<=> ( ? [X] :
! [Y] : ~ definitionFOFtoCNF_14(X,Y)
<=> ! [X] :
? [Y] :
( ~ s(X)
<=> s(Y) ) ) ),
inference(simplify,[],[normalize_9_35,normalize_9_28]) ).
fof(normalize_9_37,plain,
! [X,X0,Y,Y0] :
( ( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_94(X0)) )
& ( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) )
& ( ~ definitionFOFtoCNF_13
| ~ s(Y0)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(skolemFOFtoCNF_X_100) )
& ( ~ definitionFOFtoCNF_13
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(Y0) )
& ( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| ~ s(Y0)
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_X_100) )
& ( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) )
& ( ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_94(X0))
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_93(X)) )
& ( definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_93(X))
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ) ),
inference(clausify,[],[normalize_9_36]) ).
fof(normalize_9_38,plain,
! [X,X0] :
( ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_94(X0))
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_93(X)) ),
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_39,plain,
! [X,X0] :
( ~ p(X0)
| ~ r(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_40,plain,
! [Y] :
( ~ q(Y)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_X_96) ),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_41,plain,
! [Y] :
( ~ q(skolemFOFtoCNF_X_96)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(Y) ),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_42,plain,
! [Y1] :
( ~ q(skolemFOFtoCNF_Y_87)
| ~ s(skolemFOFtoCNF_Y_88)
| definitionFOFtoCNF_12
| p(Y1) ),
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_43,plain,
! [X,Y] :
( ~ r(X)
| definitionFOFtoCNF_14(X,Y)
| r(Y) ),
inference(conjunct,[],[normalize_9_29]) ).
fof(normalize_9_44,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_89) ),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_45,plain,
! [X] :
( ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_12
| s(skolemFOFtoCNF_X_95) )
& ( ~ definitionFOFtoCNF_11
| ~ s(X)
| definitionFOFtoCNF_12 )
& ( ~ definitionFOFtoCNF_12
| ~ s(X)
| definitionFOFtoCNF_11 )
& ( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(skolemFOFtoCNF_X_94) ) ),
inference(clausify,[],[normalize_9_3]) ).
fof(normalize_9_46,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(skolemFOFtoCNF_X_94) ),
inference(conjunct,[],[normalize_9_45]) ).
fof(normalize_9_47,plain,
! [X,Y] :
( ~ r(Y)
| definitionFOFtoCNF_14(X,Y)
| r(X) ),
inference(conjunct,[],[normalize_9_29]) ).
fof(normalize_9_48,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| ~ s(Y0)
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_X_100) ),
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_49,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) ),
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_50,plain,
! [X,X0] :
( definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_93(X))
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_51,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_83)
| definitionFOFtoCNF_12
| s(Y) ),
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_52,plain,
! [X] :
( ~ definitionFOFtoCNF_13
| ~ q(X)
| ~ q(skolemFOFtoCNF_Y_91(X))
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_53,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_Y_86)
| ~ s(skolemFOFtoCNF_Y_82)
| definitionFOFtoCNF_12
| q(Y) ),
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_54,plain,
! [X,Y0] :
( ~ definitionFOFtoCNF_13
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(Y0) ),
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_55,plain,
! [X,Y0] :
( ~ definitionFOFtoCNF_13
| ~ s(Y0)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(skolemFOFtoCNF_X_100) ),
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_56,plain,
! [X0,Y] :
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_94(X0)) ),
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_57,plain,
! [X] :
( ~ definitionFOFtoCNF_12
| ~ s(X)
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_9_45]) ).
fof(normalize_9_58,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| q(Y)
| s(Y0) ),
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_59,plain,
! [X0,Y] :
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_60,plain,
! [X] :
( ~ definitionFOFtoCNF_11
| ~ s(X)
| definitionFOFtoCNF_12 ),
inference(conjunct,[],[normalize_9_45]) ).
fof(normalize_9_61,plain,
! [X] :
( ~ definitionFOFtoCNF_11
| ~ r(X)
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_62,plain,
! [X0] :
( ~ definitionFOFtoCNF_11
| ~ p(X0)
| definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_92) ),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_63,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_12
| s(skolemFOFtoCNF_X_95) ),
inference(conjunct,[],[normalize_9_45]) ).
fof(normalize_9_64,plain,
! [Y,Y1] :
( ~ definitionFOFtoCNF_12
| ~ s(skolemFOFtoCNF_Y_89)
| p(Y1)
| q(Y) ),
inference(conjunct,[],[normalize_9_5]) ).
cnf(refute_9_0,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_84)
| ~ s(skolemFOFtoCNF_Y_85) ),
inference(canonicalize,[],[normalize_9_6]) ).
cnf(refute_9_1,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ p(X0)
| ~ r(X) ),
inference(canonicalize,[],[normalize_9_8]) ).
cnf(refute_9_2,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ p(X_1114)
| ~ r(X) ),
inference(subst,[],[refute_9_1:[bind(X0,$fot(X_1114))]]) ).
cnf(refute_9_3,plain,
( ~ definitionFOFtoCNF_12
| ~ q(skolemFOFtoCNF_Y_90)
| p(Y1)
| s(Y) ),
inference(canonicalize,[],[normalize_9_9]) ).
cnf(refute_9_4,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_97)
| q(Y) ),
inference(canonicalize,[],[normalize_9_12]) ).
cnf(refute_9_5,plain,
q(skolemFOFtoCNF_X_101),
inference(canonicalize,[],[normalize_9_15]) ).
cnf(refute_9_6,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| ~ q(Y)
| q(skolemFOFtoCNF_X_97) ),
inference(canonicalize,[],[normalize_9_16]) ).
cnf(refute_9_7,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_101)
| q(skolemFOFtoCNF_X_97) ),
inference(subst,[],[refute_9_6:[bind(Y,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_8,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| q(skolemFOFtoCNF_X_97) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_7]) ).
cnf(refute_9_9,plain,
~ r(skolemFOFtoCNF_Y_96),
inference(canonicalize,[],[normalize_9_18]) ).
cnf(refute_9_10,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ p(X_1100)
| ~ r(X) ),
inference(subst,[],[refute_9_1:[bind(X0,$fot(X_1100))]]) ).
cnf(refute_9_11,plain,
( ~ p(skolemFOFtoCNF_X_102)
| p(Y) ),
inference(canonicalize,[],[normalize_9_23]) ).
cnf(refute_9_12,plain,
( ~ p(Y)
| p(skolemFOFtoCNF_X_102) ),
inference(canonicalize,[],[normalize_9_24]) ).
cnf(refute_9_13,plain,
( ~ p(skolemFOFtoCNF_X_91)
| p(skolemFOFtoCNF_X_102) ),
inference(subst,[],[refute_9_12:[bind(Y,$fot(skolemFOFtoCNF_X_91))]]) ).
cnf(refute_9_14,plain,
( ~ definitionFOFtoCNF_10
| ~ q(X)
| ~ q(skolemFOFtoCNF_Y_92(X))
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_9_25]) ).
cnf(refute_9_15,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ p(X0)
| ~ r(skolemFOFtoCNF_X_90) ),
inference(subst,[],[refute_9_1:[bind(X,$fot(skolemFOFtoCNF_X_90))]]) ).
cnf(refute_9_16,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_90) ),
inference(canonicalize,[],[normalize_9_26]) ).
cnf(refute_9_17,plain,
( ~ definitionFOFtoCNF_10
| ~ r(X)
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(canonicalize,[],[normalize_9_27]) ).
cnf(refute_9_18,plain,
( ~ definitionFOFtoCNF_10
| ~ r(skolemFOFtoCNF_X_93)
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_17:[bind(X,$fot(skolemFOFtoCNF_X_93))]]) ).
cnf(refute_9_19,plain,
( ~ definitionFOFtoCNF_10
| ~ r(skolemFOFtoCNF_Y_93(X_916))
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_17:[bind(X,$fot(skolemFOFtoCNF_Y_93(X_916)))]]) ).
cnf(refute_9_20,plain,
( ~ definitionFOFtoCNF_14(X,Y)
| r(X)
| r(Y) ),
inference(canonicalize,[],[normalize_9_30]) ).
cnf(refute_9_21,plain,
( ~ definitionFOFtoCNF_14(X_906,skolemFOFtoCNF_Y_93(X_906))
| r(X_906)
| r(skolemFOFtoCNF_Y_93(X_906)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_906)),bind(Y,$fot(skolemFOFtoCNF_Y_93(X_906)))]]) ).
cnf(refute_9_22,plain,
( ~ definitionFOFtoCNF_10
| ~ p(X0)
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_93) ),
inference(canonicalize,[],[normalize_9_31]) ).
cnf(refute_9_23,plain,
( ~ definitionFOFtoCNF_10
| ~ p(X_904)
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_93) ),
inference(subst,[],[refute_9_22:[bind(X0,$fot(X_904))]]) ).
cnf(refute_9_24,plain,
( definitionFOFtoCNF_12
| p(Y1)
| q(Y)
| s(Y0) ),
inference(canonicalize,[],[normalize_9_32]) ).
cnf(refute_9_25,plain,
( definitionFOFtoCNF_12
| p(Y1)
| q(Y)
| s(X_540) ),
inference(subst,[],[refute_9_24:[bind(Y0,$fot(X_540))]]) ).
cnf(refute_9_26,plain,
( definitionFOFtoCNF_12
| p(Y1)
| q(Y)
| s(skolemFOFtoCNF_Y_94(X_483)) ),
inference(subst,[],[refute_9_24:[bind(Y0,$fot(skolemFOFtoCNF_Y_94(X_483)))]]) ).
cnf(refute_9_27,plain,
( ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_94(X0))
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_93(X)) ),
inference(canonicalize,[],[normalize_9_38]) ).
cnf(refute_9_28,plain,
( ~ s(X_483)
| ~ s(skolemFOFtoCNF_Y_94(X_483))
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_482,skolemFOFtoCNF_Y_93(X_482)) ),
inference(subst,[],[refute_9_27:[bind(X,$fot(X_482)),bind(X0,$fot(X_483))]]) ).
cnf(refute_9_29,plain,
( ~ s(X_483)
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_482,skolemFOFtoCNF_Y_93(X_482))
| p(Y1)
| q(Y) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_483)) )],[refute_9_26,refute_9_28]) ).
cnf(refute_9_30,plain,
( ~ s(X_540)
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_539,skolemFOFtoCNF_Y_93(X_539))
| p(X_538)
| q(X_537) ),
inference(subst,[],[refute_9_29:[bind(Y,$fot(X_537)),bind(Y1,$fot(X_538)),bind(X_482,$fot(X_539)),bind(X_483,$fot(X_540))]]) ).
cnf(refute_9_31,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_539,skolemFOFtoCNF_Y_93(X_539))
| p(Y1)
| p(X_538)
| q(Y)
| q(X_537) ),
inference(resolve,[$cnf( s(X_540) )],[refute_9_25,refute_9_30]) ).
cnf(refute_9_32,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_543,skolemFOFtoCNF_Y_93(X_543))
| p(X_542)
| q(skolemFOFtoCNF_Y_92(X)) ),
inference(subst,[],[refute_9_31:[bind(Y,$fot(skolemFOFtoCNF_Y_92(X))),bind(Y1,$fot(X_542)),bind(X_537,$fot(skolemFOFtoCNF_Y_92(X))),bind(X_538,$fot(X_542)),bind(X_539,$fot(X_543))]]) ).
cnf(refute_9_33,plain,
( ~ definitionFOFtoCNF_10
| ~ q(X)
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_543,skolemFOFtoCNF_Y_93(X_543))
| p(X_542) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_92(X)) )],[refute_9_32,refute_9_14]) ).
cnf(refute_9_34,plain,
( ~ definitionFOFtoCNF_10
| ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_561,skolemFOFtoCNF_Y_93(X_561))
| p(X_560) ),
inference(subst,[],[refute_9_33:[bind(X,$fot(skolemFOFtoCNF_X_101)),bind(X_542,$fot(X_560)),bind(X_543,$fot(X_561))]]) ).
cnf(refute_9_35,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_561,skolemFOFtoCNF_Y_93(X_561))
| p(X_560) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_34]) ).
cnf(refute_9_36,plain,
( ~ p(X0)
| ~ r(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_9_39]) ).
cnf(refute_9_37,plain,
( ~ p(X_664)
| ~ r(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_36:[bind(X0,$fot(X_664))]]) ).
cnf(refute_9_38,plain,
( ~ p(X_595)
| ~ r(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_36:[bind(X0,$fot(X_595))]]) ).
cnf(refute_9_39,plain,
( ~ q(Y)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_X_96) ),
inference(canonicalize,[],[normalize_9_40]) ).
cnf(refute_9_40,plain,
( ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_X_96) ),
inference(subst,[],[refute_9_39:[bind(Y,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_41,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_X_96) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_40]) ).
cnf(refute_9_42,plain,
( ~ q(skolemFOFtoCNF_X_96)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(Y) ),
inference(canonicalize,[],[normalize_9_41]) ).
cnf(refute_9_43,plain,
( ~ q(skolemFOFtoCNF_X_96)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(X_431) ),
inference(subst,[],[refute_9_42:[bind(Y,$fot(X_431))]]) ).
cnf(refute_9_44,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(X_431) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_96) )],[refute_9_41,refute_9_43]) ).
cnf(refute_9_45,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_Y_87) ),
inference(subst,[],[refute_9_44:[bind(X_431,$fot(skolemFOFtoCNF_Y_87))]]) ).
cnf(refute_9_46,plain,
( ~ q(skolemFOFtoCNF_Y_87)
| ~ s(skolemFOFtoCNF_Y_88)
| definitionFOFtoCNF_12
| p(Y1) ),
inference(canonicalize,[],[normalize_9_42]) ).
cnf(refute_9_47,plain,
( ~ r(X)
| definitionFOFtoCNF_14(X,Y)
| r(Y) ),
inference(canonicalize,[],[normalize_9_43]) ).
cnf(refute_9_48,plain,
( ~ r(skolemFOFtoCNF_X_99)
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| r(Y) ),
inference(subst,[],[refute_9_47:[bind(X,$fot(skolemFOFtoCNF_X_99))]]) ).
cnf(refute_9_49,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_89) ),
inference(canonicalize,[],[normalize_9_44]) ).
cnf(refute_9_50,plain,
( ~ p(X_452)
| ~ r(skolemFOFtoCNF_X_89)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_36:[bind(X,$fot(skolemFOFtoCNF_X_89)),bind(X0,$fot(X_452))]]) ).
cnf(refute_9_51,plain,
( ~ p(X_452)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_89) )],[refute_9_49,refute_9_50]) ).
cnf(refute_9_52,plain,
( ~ p(X_501)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_51:[bind(X_452,$fot(X_501))]]) ).
cnf(refute_9_53,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(skolemFOFtoCNF_X_94) ),
inference(canonicalize,[],[normalize_9_46]) ).
cnf(refute_9_54,plain,
( ~ r(Y)
| definitionFOFtoCNF_14(X,Y)
| r(X) ),
inference(canonicalize,[],[normalize_9_47]) ).
cnf(refute_9_55,plain,
( ~ r(skolemFOFtoCNF_X_89)
| definitionFOFtoCNF_14(X_446,skolemFOFtoCNF_X_89)
| r(X_446) ),
inference(subst,[],[refute_9_54:[bind(X,$fot(X_446)),bind(Y,$fot(skolemFOFtoCNF_X_89))]]) ).
cnf(refute_9_56,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_14(X_446,skolemFOFtoCNF_X_89)
| p(skolemFOFtoCNF_X_91)
| r(X_446) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_89) )],[refute_9_49,refute_9_55]) ).
cnf(refute_9_57,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_89)
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_56:[bind(X_446,$fot(skolemFOFtoCNF_X_99))]]) ).
cnf(refute_9_58,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| ~ s(Y0)
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_X_100) ),
inference(canonicalize,[],[normalize_9_48]) ).
cnf(refute_9_59,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_89)
| ~ s(X_463)
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_58:[bind(Y,$fot(skolemFOFtoCNF_X_89)),bind(Y0,$fot(X_463))]]) ).
cnf(refute_9_60,plain,
( ~ s(X_463)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_89) )],[refute_9_57,refute_9_59]) ).
cnf(refute_9_61,plain,
( ~ s(skolemFOFtoCNF_X_94)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_60:[bind(X_463,$fot(skolemFOFtoCNF_X_94))]]) ).
cnf(refute_9_62,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_94) )],[refute_9_53,refute_9_61]) ).
cnf(refute_9_63,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) ),
inference(canonicalize,[],[normalize_9_49]) ).
cnf(refute_9_64,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_89)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(X_465) ),
inference(subst,[],[refute_9_63:[bind(Y,$fot(skolemFOFtoCNF_X_89)),bind(Y0,$fot(X_465))]]) ).
cnf(refute_9_65,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(X_465) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_89) )],[refute_9_57,refute_9_64]) ).
cnf(refute_9_66,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(X_487) ),
inference(subst,[],[refute_9_65:[bind(X_465,$fot(X_487))]]) ).
cnf(refute_9_67,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(X_487) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_62,refute_9_66]) ).
cnf(refute_9_68,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_Y_88) ),
inference(subst,[],[refute_9_67:[bind(X_487,$fot(skolemFOFtoCNF_Y_88))]]) ).
cnf(refute_9_69,plain,
( ~ q(skolemFOFtoCNF_Y_87)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(Y1)
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_88) )],[refute_9_68,refute_9_46]) ).
cnf(refute_9_70,plain,
( ~ q(skolemFOFtoCNF_Y_87)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_500)
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_69:[bind(Y1,$fot(X_500))]]) ).
cnf(refute_9_71,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_500)
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_87) )],[refute_9_45,refute_9_70]) ).
cnf(refute_9_72,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_501)
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_71:[bind(X_500,$fot(X_501))]]) ).
cnf(refute_9_73,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( p(X_501) )],[refute_9_72,refute_9_52]) ).
cnf(refute_9_74,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| p(skolemFOFtoCNF_X_91)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_99) )],[refute_9_73,refute_9_48]) ).
cnf(refute_9_75,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_512)
| p(skolemFOFtoCNF_X_91)
| r(X_512) ),
inference(subst,[],[refute_9_74:[bind(Y,$fot(X_512))]]) ).
cnf(refute_9_76,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| ~ s(skolemFOFtoCNF_Y_94(X_499))
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_58:[bind(Y0,$fot(skolemFOFtoCNF_Y_94(X_499)))]]) ).
cnf(refute_9_77,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_Y_93(skolemFOFtoCNF_X_99))
| ~ s(Y0)
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_58:[bind(Y,$fot(skolemFOFtoCNF_Y_93(skolemFOFtoCNF_X_99)))]]) ).
cnf(refute_9_78,plain,
( definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_93(X))
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(canonicalize,[],[normalize_9_50]) ).
cnf(refute_9_79,plain,
( definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_Y_93(skolemFOFtoCNF_X_99))
| s(X_485)
| s(skolemFOFtoCNF_Y_94(X_485)) ),
inference(subst,[],[refute_9_78:[bind(X,$fot(skolemFOFtoCNF_X_99)),bind(X0,$fot(X_485))]]) ).
cnf(refute_9_80,plain,
( ~ s(Y0)
| definitionFOFtoCNF_13
| s(X_485)
| s(skolemFOFtoCNF_X_100)
| s(skolemFOFtoCNF_Y_94(X_485)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_Y_93(skolemFOFtoCNF_X_99)) )],[refute_9_79,refute_9_77]) ).
cnf(refute_9_81,plain,
( ~ s(skolemFOFtoCNF_X_94)
| definitionFOFtoCNF_13
| s(X_498)
| s(skolemFOFtoCNF_X_100)
| s(skolemFOFtoCNF_Y_94(X_498)) ),
inference(subst,[],[refute_9_80:[bind(Y0,$fot(skolemFOFtoCNF_X_94)),bind(X_485,$fot(X_498))]]) ).
cnf(refute_9_82,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_498)
| s(skolemFOFtoCNF_X_100)
| s(skolemFOFtoCNF_Y_94(X_498)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_94) )],[refute_9_53,refute_9_81]) ).
cnf(refute_9_83,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_499)
| s(skolemFOFtoCNF_X_100)
| s(skolemFOFtoCNF_Y_94(X_499)) ),
inference(subst,[],[refute_9_82:[bind(X_498,$fot(X_499))]]) ).
cnf(refute_9_84,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_499)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_499)) )],[refute_9_83,refute_9_76]) ).
cnf(refute_9_85,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_512)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_513)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_84:[bind(Y,$fot(X_512)),bind(X_499,$fot(X_513))]]) ).
cnf(refute_9_86,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_512)
| s(X_513)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_512) )],[refute_9_75,refute_9_85]) ).
cnf(refute_9_87,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_512)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_86:[bind(X_513,$fot(skolemFOFtoCNF_X_100))]]) ).
cnf(refute_9_88,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_507)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) ),
inference(subst,[],[refute_9_63:[bind(Y,$fot(X_507))]]) ).
cnf(refute_9_89,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_507)
| p(skolemFOFtoCNF_X_91)
| r(X_507) ),
inference(subst,[],[refute_9_74:[bind(Y,$fot(X_507))]]) ).
cnf(refute_9_90,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_507)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_507) )],[refute_9_89,refute_9_88]) ).
cnf(refute_9_91,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_577)
| s(X_576) ),
inference(subst,[],[refute_9_90:[bind(Y0,$fot(X_576)),bind(X_507,$fot(X_577))]]) ).
cnf(refute_9_92,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_512)
| r(X_577)
| s(X_576) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_87,refute_9_91]) ).
cnf(refute_9_93,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_579)
| s(skolemFOFtoCNF_Y_88) ),
inference(subst,[],[refute_9_92:[bind(X_512,$fot(X_579)),bind(X_576,$fot(skolemFOFtoCNF_Y_88)),bind(X_577,$fot(X_579))]]) ).
cnf(refute_9_94,plain,
( ~ q(skolemFOFtoCNF_Y_87)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(Y1)
| p(skolemFOFtoCNF_X_91)
| r(X_579) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_88) )],[refute_9_93,refute_9_46]) ).
cnf(refute_9_95,plain,
( ~ q(skolemFOFtoCNF_Y_87)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_591)
| p(skolemFOFtoCNF_X_91)
| r(X_592) ),
inference(subst,[],[refute_9_94:[bind(Y1,$fot(X_591)),bind(X_579,$fot(X_592))]]) ).
cnf(refute_9_96,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_591)
| p(skolemFOFtoCNF_X_91)
| r(X_592) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_87) )],[refute_9_45,refute_9_95]) ).
cnf(refute_9_97,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_593)
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_96:[bind(X_591,$fot(X_593)),bind(X_592,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_98,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_593)
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_97,refute_9_9]) ).
cnf(refute_9_99,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_98:[bind(X_593,$fot(skolemFOFtoCNF_X_91))]]) ).
cnf(refute_9_100,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_99,refute_9_13]) ).
cnf(refute_9_101,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_100,refute_9_11]) ).
cnf(refute_9_102,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_595) ),
inference(subst,[],[refute_9_101:[bind(Y,$fot(X_595))]]) ).
cnf(refute_9_103,plain,
( ~ r(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( p(X_595) )],[refute_9_102,refute_9_38]) ).
cnf(refute_9_104,plain,
( ~ r(skolemFOFtoCNF_Y_93(X_601))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(subst,[],[refute_9_103:[bind(X,$fot(skolemFOFtoCNF_Y_93(X_601)))]]) ).
cnf(refute_9_105,plain,
( ~ definitionFOFtoCNF_14(X_600,skolemFOFtoCNF_Y_93(X_600))
| r(X_600)
| r(skolemFOFtoCNF_Y_93(X_600)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_600)),bind(Y,$fot(skolemFOFtoCNF_Y_93(X_600)))]]) ).
cnf(refute_9_106,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_Y_83) ),
inference(subst,[],[refute_9_44:[bind(X_431,$fot(skolemFOFtoCNF_Y_83))]]) ).
cnf(refute_9_107,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_83)
| definitionFOFtoCNF_12
| s(Y) ),
inference(canonicalize,[],[normalize_9_51]) ).
cnf(refute_9_108,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_83)
| definitionFOFtoCNF_12
| s(X_433) ),
inference(subst,[],[refute_9_107:[bind(Y,$fot(X_433))]]) ).
cnf(refute_9_109,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_433) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_83) )],[refute_9_106,refute_9_108]) ).
cnf(refute_9_110,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_101:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_111,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_433) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_110,refute_9_109]) ).
cnf(refute_9_112,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_111:[bind(X_433,$fot(skolemFOFtoCNF_Y_94(X0)))]]) ).
cnf(refute_9_113,plain,
( ~ s(X0)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_93(X)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X0)) )],[refute_9_112,refute_9_27]) ).
cnf(refute_9_114,plain,
( ~ s(skolemFOFtoCNF_X_94)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_598,skolemFOFtoCNF_Y_93(X_598)) ),
inference(subst,[],[refute_9_113:[bind(X,$fot(X_598)),bind(X0,$fot(skolemFOFtoCNF_X_94))]]) ).
cnf(refute_9_115,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_598,skolemFOFtoCNF_Y_93(X_598)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_94) )],[refute_9_53,refute_9_114]) ).
cnf(refute_9_116,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_600,skolemFOFtoCNF_Y_93(X_600)) ),
inference(subst,[],[refute_9_115:[bind(X_598,$fot(X_600))]]) ).
cnf(refute_9_117,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_600)
| r(skolemFOFtoCNF_Y_93(X_600)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_600,skolemFOFtoCNF_Y_93(X_600)) )],[refute_9_116,refute_9_105]) ).
cnf(refute_9_118,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_601)
| r(skolemFOFtoCNF_Y_93(X_601)) ),
inference(subst,[],[refute_9_117:[bind(X_600,$fot(X_601))]]) ).
cnf(refute_9_119,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_601) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_93(X_601)) )],[refute_9_118,refute_9_104]) ).
cnf(refute_9_120,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_119:[bind(X_601,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_121,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_120,refute_9_9]) ).
cnf(refute_9_122,plain,
( ~ definitionFOFtoCNF_13
| ~ q(X)
| ~ q(skolemFOFtoCNF_Y_91(X))
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_9_52]) ).
cnf(refute_9_123,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| ~ s(skolemFOFtoCNF_Y_82)
| definitionFOFtoCNF_12
| q(Y) ),
inference(canonicalize,[],[normalize_9_53]) ).
cnf(refute_9_124,plain,
( ~ p(X_606)
| ~ r(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_36:[bind(X0,$fot(X_606))]]) ).
cnf(refute_9_125,plain,
( definitionFOFtoCNF_12
| p(X_479)
| q(skolemFOFtoCNF_Y_91(X))
| s(X_478) ),
inference(subst,[],[refute_9_24:[bind(Y,$fot(skolemFOFtoCNF_Y_91(X))),bind(Y0,$fot(X_478)),bind(Y1,$fot(X_479))]]) ).
cnf(refute_9_126,plain,
( ~ definitionFOFtoCNF_13
| ~ q(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| p(X_479)
| s(X_478) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_91(X)) )],[refute_9_125,refute_9_122]) ).
cnf(refute_9_127,plain,
( ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| p(X_529)
| s(X_528) ),
inference(subst,[],[refute_9_126:[bind(X,$fot(skolemFOFtoCNF_X_101)),bind(X_478,$fot(X_528)),bind(X_479,$fot(X_529))]]) ).
cnf(refute_9_128,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| p(X_529)
| s(X_528) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_127]) ).
cnf(refute_9_129,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(X_529)
| s(X_528) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_121,refute_9_128]) ).
cnf(refute_9_130,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(X_606)
| s(X_605) ),
inference(subst,[],[refute_9_129:[bind(X_528,$fot(X_605)),bind(X_529,$fot(X_606))]]) ).
cnf(refute_9_131,plain,
( ~ r(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(X_605) ),
inference(resolve,[$cnf( p(X_606) )],[refute_9_130,refute_9_124]) ).
cnf(refute_9_132,plain,
( ~ r(X_630)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(X_605) ),
inference(subst,[],[refute_9_131:[bind(X,$fot(X_630))]]) ).
cnf(refute_9_133,plain,
( ~ r(skolemFOFtoCNF_Y_95(X_628))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(X_605) ),
inference(subst,[],[refute_9_131:[bind(X,$fot(skolemFOFtoCNF_Y_95(X_628)))]]) ).
cnf(refute_9_134,plain,
( ~ definitionFOFtoCNF_14(X_615,skolemFOFtoCNF_Y_95(X_615))
| r(X_615)
| r(skolemFOFtoCNF_Y_95(X_615)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_615)),bind(Y,$fot(skolemFOFtoCNF_Y_95(X_615)))]]) ).
cnf(refute_9_135,plain,
( ~ definitionFOFtoCNF_13
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(Y0) ),
inference(canonicalize,[],[normalize_9_54]) ).
cnf(refute_9_136,plain,
( ~ r(X_610)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(X_605) ),
inference(subst,[],[refute_9_131:[bind(X,$fot(X_610))]]) ).
cnf(refute_9_137,plain,
( ~ r(skolemFOFtoCNF_Y_95(X_609))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(X_605) ),
inference(subst,[],[refute_9_131:[bind(X,$fot(skolemFOFtoCNF_Y_95(X_609)))]]) ).
cnf(refute_9_138,plain,
( ~ definitionFOFtoCNF_14(X_604,skolemFOFtoCNF_Y_95(X_604))
| r(X_604)
| r(skolemFOFtoCNF_Y_95(X_604)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_604)),bind(Y,$fot(skolemFOFtoCNF_Y_95(X_604)))]]) ).
cnf(refute_9_139,plain,
( ~ definitionFOFtoCNF_13
| ~ s(Y0)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(skolemFOFtoCNF_X_100) ),
inference(canonicalize,[],[normalize_9_55]) ).
cnf(refute_9_140,plain,
( ~ definitionFOFtoCNF_13
| ~ s(skolemFOFtoCNF_X_94)
| definitionFOFtoCNF_14(X_472,skolemFOFtoCNF_Y_95(X_472))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_139:[bind(X,$fot(X_472)),bind(Y0,$fot(skolemFOFtoCNF_X_94))]]) ).
cnf(refute_9_141,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_472,skolemFOFtoCNF_Y_95(X_472))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_94) )],[refute_9_53,refute_9_140]) ).
cnf(refute_9_142,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_472,skolemFOFtoCNF_Y_95(X_472))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_121,refute_9_141]) ).
cnf(refute_9_143,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_604,skolemFOFtoCNF_Y_95(X_604))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_142:[bind(X_472,$fot(X_604))]]) ).
cnf(refute_9_144,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_604)
| r(skolemFOFtoCNF_Y_95(X_604))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_604,skolemFOFtoCNF_Y_95(X_604)) )],[refute_9_143,refute_9_138]) ).
cnf(refute_9_145,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_609)
| r(skolemFOFtoCNF_Y_95(X_609))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_144:[bind(X_604,$fot(X_609))]]) ).
cnf(refute_9_146,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_609)
| s(X_605)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_95(X_609)) )],[refute_9_145,refute_9_137]) ).
cnf(refute_9_147,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_610)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_146:[bind(X_605,$fot(skolemFOFtoCNF_X_100)),bind(X_609,$fot(X_610))]]) ).
cnf(refute_9_148,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(X_605)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( r(X_610) )],[refute_9_147,refute_9_136]) ).
cnf(refute_9_149,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_148:[bind(X_605,$fot(skolemFOFtoCNF_X_100))]]) ).
cnf(refute_9_150,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_149,refute_9_135]) ).
cnf(refute_9_151,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_613,skolemFOFtoCNF_Y_95(X_613))
| s(X_614) ),
inference(subst,[],[refute_9_150:[bind(X,$fot(X_613)),bind(Y0,$fot(X_614))]]) ).
cnf(refute_9_152,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_613,skolemFOFtoCNF_Y_95(X_613))
| s(X_614) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_121,refute_9_151]) ).
cnf(refute_9_153,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_615,skolemFOFtoCNF_Y_95(X_615))
| s(X_616) ),
inference(subst,[],[refute_9_152:[bind(X_613,$fot(X_615)),bind(X_614,$fot(X_616))]]) ).
cnf(refute_9_154,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_615)
| r(skolemFOFtoCNF_Y_95(X_615))
| s(X_616) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_615,skolemFOFtoCNF_Y_95(X_615)) )],[refute_9_153,refute_9_134]) ).
cnf(refute_9_155,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_628)
| r(skolemFOFtoCNF_Y_95(X_628))
| s(X_629) ),
inference(subst,[],[refute_9_154:[bind(X_615,$fot(X_628)),bind(X_616,$fot(X_629))]]) ).
cnf(refute_9_156,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_628)
| s(X_605)
| s(X_629) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_95(X_628)) )],[refute_9_155,refute_9_133]) ).
cnf(refute_9_157,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_630)
| s(X_631) ),
inference(subst,[],[refute_9_156:[bind(X_605,$fot(X_631)),bind(X_628,$fot(X_630)),bind(X_629,$fot(X_631))]]) ).
cnf(refute_9_158,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(X_605)
| s(X_631) ),
inference(resolve,[$cnf( r(X_630) )],[refute_9_157,refute_9_132]) ).
cnf(refute_9_159,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(skolemFOFtoCNF_Y_82) ),
inference(subst,[],[refute_9_158:[bind(X_605,$fot(skolemFOFtoCNF_Y_82)),bind(X_631,$fot(skolemFOFtoCNF_Y_82))]]) ).
cnf(refute_9_160,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(Y) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_82) )],[refute_9_159,refute_9_123]) ).
cnf(refute_9_161,plain,
( ~ r(skolemFOFtoCNF_X_98)
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| r(Y) ),
inference(subst,[],[refute_9_47:[bind(X,$fot(skolemFOFtoCNF_X_98))]]) ).
cnf(refute_9_162,plain,
( ~ p(X_620)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_51:[bind(X_452,$fot(X_620))]]) ).
cnf(refute_9_163,plain,
( definitionFOFtoCNF_12
| p(Y1)
| q(Y)
| s(skolemFOFtoCNF_Y_94(X_489)) ),
inference(subst,[],[refute_9_24:[bind(Y0,$fot(skolemFOFtoCNF_Y_94(X_489)))]]) ).
cnf(refute_9_164,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_89)
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_56:[bind(X_446,$fot(skolemFOFtoCNF_X_98))]]) ).
cnf(refute_9_165,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_94(X0)) ),
inference(canonicalize,[],[normalize_9_56]) ).
cnf(refute_9_166,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_89)
| ~ s(X_468)
| ~ s(skolemFOFtoCNF_Y_94(X_468)) ),
inference(subst,[],[refute_9_165:[bind(X0,$fot(X_468)),bind(Y,$fot(skolemFOFtoCNF_X_89))]]) ).
cnf(refute_9_167,plain,
( ~ definitionFOFtoCNF_13
| ~ s(X_468)
| ~ s(skolemFOFtoCNF_Y_94(X_468))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_89) )],[refute_9_164,refute_9_166]) ).
cnf(refute_9_168,plain,
( ~ definitionFOFtoCNF_13
| ~ s(X_489)
| ~ s(skolemFOFtoCNF_Y_94(X_489))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_167:[bind(X_468,$fot(X_489))]]) ).
cnf(refute_9_169,plain,
( ~ definitionFOFtoCNF_13
| ~ s(X_489)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(Y1)
| p(skolemFOFtoCNF_X_91)
| q(Y)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_489)) )],[refute_9_163,refute_9_168]) ).
cnf(refute_9_170,plain,
( ~ definitionFOFtoCNF_13
| ~ s(skolemFOFtoCNF_X_94)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(X_572)
| p(skolemFOFtoCNF_X_91)
| q(X_571)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_169:[bind(Y,$fot(X_571)),bind(Y1,$fot(X_572)),bind(X_489,$fot(skolemFOFtoCNF_X_94))]]) ).
cnf(refute_9_171,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(X_572)
| p(skolemFOFtoCNF_X_91)
| q(X_571)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_94) )],[refute_9_53,refute_9_170]) ).
cnf(refute_9_172,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(X_572)
| p(skolemFOFtoCNF_X_91)
| q(X_571)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_121,refute_9_171]) ).
cnf(refute_9_173,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(X_620)
| p(skolemFOFtoCNF_X_91)
| q(X_619)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_172:[bind(X_571,$fot(X_619)),bind(X_572,$fot(X_620))]]) ).
cnf(refute_9_174,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| q(X_619)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( p(X_620) )],[refute_9_173,refute_9_162]) ).
cnf(refute_9_175,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| q(skolemFOFtoCNF_Y_91(X))
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_174:[bind(X_619,$fot(skolemFOFtoCNF_Y_91(X)))]]) ).
cnf(refute_9_176,plain,
( ~ definitionFOFtoCNF_13
| ~ q(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_91(X)) )],[refute_9_175,refute_9_122]) ).
cnf(refute_9_177,plain,
( ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_176:[bind(X,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_178,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_177]) ).
cnf(refute_9_179,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_121,refute_9_178]) ).
cnf(refute_9_180,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| p(skolemFOFtoCNF_X_91)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_98) )],[refute_9_179,refute_9_161]) ).
cnf(refute_9_181,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_654)
| p(skolemFOFtoCNF_X_91)
| r(X_654) ),
inference(subst,[],[refute_9_180:[bind(Y,$fot(X_654))]]) ).
cnf(refute_9_182,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(X_652) ),
inference(subst,[],[refute_9_158:[bind(X_605,$fot(X_652)),bind(X_631,$fot(X_652))]]) ).
cnf(refute_9_183,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_158:[bind(X_605,$fot(skolemFOFtoCNF_Y_94(X0))),bind(X_631,$fot(skolemFOFtoCNF_Y_94(X0)))]]) ).
cnf(refute_9_184,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| ~ s(X0)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X0)) )],[refute_9_183,refute_9_165]) ).
cnf(refute_9_185,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_653)
| ~ s(X_652)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_184:[bind(X0,$fot(X_652)),bind(Y,$fot(X_653))]]) ).
cnf(refute_9_186,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_653)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( s(X_652) )],[refute_9_182,refute_9_185]) ).
cnf(refute_9_187,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_654)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_186:[bind(X_653,$fot(X_654))]]) ).
cnf(refute_9_188,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_654) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_654) )],[refute_9_181,refute_9_187]) ).
cnf(refute_9_189,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_655) ),
inference(subst,[],[refute_9_188:[bind(X_654,$fot(X_655))]]) ).
cnf(refute_9_190,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_655) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_121,refute_9_189]) ).
cnf(refute_9_191,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_190:[bind(X_655,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_192,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_191,refute_9_9]) ).
cnf(refute_9_193,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_192,refute_9_13]) ).
cnf(refute_9_194,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_193,refute_9_11]) ).
cnf(refute_9_195,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_194:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_196,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_195,refute_9_160]) ).
cnf(refute_9_197,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(skolemFOFtoCNF_Y_91(X)) ),
inference(subst,[],[refute_9_196:[bind(Y,$fot(skolemFOFtoCNF_Y_91(X)))]]) ).
cnf(refute_9_198,plain,
( ~ definitionFOFtoCNF_13
| ~ q(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_91(X)) )],[refute_9_197,refute_9_122]) ).
cnf(refute_9_199,plain,
( ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_198:[bind(X,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_200,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_199]) ).
cnf(refute_9_201,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_121,refute_9_200]) ).
cnf(refute_9_202,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X)
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_9_57]) ).
cnf(refute_9_203,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_661)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_661))]]) ).
cnf(refute_9_204,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_Y_90) ),
inference(subst,[],[refute_9_44:[bind(X_431,$fot(skolemFOFtoCNF_Y_90))]]) ).
cnf(refute_9_205,plain,
( ~ definitionFOFtoCNF_12
| ~ q(skolemFOFtoCNF_Y_90)
| p(X_457)
| s(X_456) ),
inference(subst,[],[refute_9_3:[bind(Y,$fot(X_456)),bind(Y1,$fot(X_457))]]) ).
cnf(refute_9_206,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(X_457)
| s(X_456) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_90) )],[refute_9_204,refute_9_205]) ).
cnf(refute_9_207,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(X_457)
| s(X_456) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_206]) ).
cnf(refute_9_208,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(X_662)
| s(X_661) ),
inference(subst,[],[refute_9_207:[bind(X_456,$fot(X_661)),bind(X_457,$fot(X_662))]]) ).
cnf(refute_9_209,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(X_662) ),
inference(resolve,[$cnf( s(X_661) )],[refute_9_208,refute_9_203]) ).
cnf(refute_9_210,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(X_663) ),
inference(subst,[],[refute_9_209:[bind(X_662,$fot(X_663))]]) ).
cnf(refute_9_211,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(X_663) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_210]) ).
cnf(refute_9_212,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(X_664) ),
inference(subst,[],[refute_9_211:[bind(X_663,$fot(X_664))]]) ).
cnf(refute_9_213,plain,
( ~ r(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( p(X_664) )],[refute_9_212,refute_9_37]) ).
cnf(refute_9_214,plain,
( ~ r(skolemFOFtoCNF_Y_93(X_672))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13 ),
inference(subst,[],[refute_9_213:[bind(X,$fot(skolemFOFtoCNF_Y_93(X_672)))]]) ).
cnf(refute_9_215,plain,
( ~ definitionFOFtoCNF_14(X_669,skolemFOFtoCNF_Y_93(X_669))
| r(X_669)
| r(skolemFOFtoCNF_Y_93(X_669)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_669)),bind(Y,$fot(skolemFOFtoCNF_Y_93(X_669)))]]) ).
cnf(refute_9_216,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_667)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_667))]]) ).
cnf(refute_9_217,plain,
( ~ definitionFOFtoCNF_12
| ~ s(skolemFOFtoCNF_Y_94(X_485))
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_485)))]]) ).
cnf(refute_9_218,plain,
( definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_484,skolemFOFtoCNF_Y_93(X_484))
| s(X_485)
| s(skolemFOFtoCNF_Y_94(X_485)) ),
inference(subst,[],[refute_9_78:[bind(X,$fot(X_484)),bind(X0,$fot(X_485))]]) ).
cnf(refute_9_219,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_484,skolemFOFtoCNF_Y_93(X_484))
| s(X_485) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_485)) )],[refute_9_218,refute_9_217]) ).
cnf(refute_9_220,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_484,skolemFOFtoCNF_Y_93(X_484))
| s(X_485) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_219]) ).
cnf(refute_9_221,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_666,skolemFOFtoCNF_Y_93(X_666))
| s(X_667) ),
inference(subst,[],[refute_9_220:[bind(X_484,$fot(X_666)),bind(X_485,$fot(X_667))]]) ).
cnf(refute_9_222,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_666,skolemFOFtoCNF_Y_93(X_666)) ),
inference(resolve,[$cnf( s(X_667) )],[refute_9_221,refute_9_216]) ).
cnf(refute_9_223,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_668,skolemFOFtoCNF_Y_93(X_668)) ),
inference(subst,[],[refute_9_222:[bind(X_666,$fot(X_668))]]) ).
cnf(refute_9_224,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_668,skolemFOFtoCNF_Y_93(X_668)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_223]) ).
cnf(refute_9_225,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_669,skolemFOFtoCNF_Y_93(X_669)) ),
inference(subst,[],[refute_9_224:[bind(X_668,$fot(X_669))]]) ).
cnf(refute_9_226,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| r(X_669)
| r(skolemFOFtoCNF_Y_93(X_669)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_669,skolemFOFtoCNF_Y_93(X_669)) )],[refute_9_225,refute_9_215]) ).
cnf(refute_9_227,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| r(X_672)
| r(skolemFOFtoCNF_Y_93(X_672)) ),
inference(subst,[],[refute_9_226:[bind(X_669,$fot(X_672))]]) ).
cnf(refute_9_228,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| r(X_672) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_93(X_672)) )],[refute_9_227,refute_9_214]) ).
cnf(refute_9_229,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_228:[bind(X_672,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_230,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_229,refute_9_9]) ).
cnf(refute_9_231,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_766)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_766))]]) ).
cnf(refute_9_232,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| q(Y)
| s(Y0) ),
inference(canonicalize,[],[normalize_9_58]) ).
cnf(refute_9_233,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_757)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_757))]]) ).
cnf(refute_9_234,plain,
( ~ definitionFOFtoCNF_12
| ~ s(skolemFOFtoCNF_Y_94(X_753))
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_753)))]]) ).
cnf(refute_9_235,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(canonicalize,[],[normalize_9_59]) ).
cnf(refute_9_236,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_682)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_235:[bind(Y,$fot(X_682))]]) ).
cnf(refute_9_237,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_680)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_680))]]) ).
cnf(refute_9_238,plain,
( ~ definitionFOFtoCNF_12
| ~ s(skolemFOFtoCNF_Y_94(X_678))
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_678)))]]) ).
cnf(refute_9_239,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_89)
| s(X_470)
| s(skolemFOFtoCNF_Y_94(X_470)) ),
inference(subst,[],[refute_9_235:[bind(X0,$fot(X_470)),bind(Y,$fot(skolemFOFtoCNF_X_89))]]) ).
cnf(refute_9_240,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_470)
| s(skolemFOFtoCNF_Y_94(X_470)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_89) )],[refute_9_164,refute_9_239]) ).
cnf(refute_9_241,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_470)
| s(skolemFOFtoCNF_Y_94(X_470)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_230,refute_9_240]) ).
cnf(refute_9_242,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_678)
| s(skolemFOFtoCNF_Y_94(X_678)) ),
inference(subst,[],[refute_9_241:[bind(X_470,$fot(X_678))]]) ).
cnf(refute_9_243,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_678) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_678)) )],[refute_9_242,refute_9_238]) ).
cnf(refute_9_244,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_679) ),
inference(subst,[],[refute_9_243:[bind(X_678,$fot(X_679))]]) ).
cnf(refute_9_245,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_679) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_244]) ).
cnf(refute_9_246,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_680) ),
inference(subst,[],[refute_9_245:[bind(X_679,$fot(X_680))]]) ).
cnf(refute_9_247,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( s(X_680) )],[refute_9_246,refute_9_237]) ).
cnf(refute_9_248,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_247]) ).
cnf(refute_9_249,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| p(skolemFOFtoCNF_X_91)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_98) )],[refute_9_248,refute_9_161]) ).
cnf(refute_9_250,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_682)
| p(skolemFOFtoCNF_X_91)
| r(X_682) ),
inference(subst,[],[refute_9_249:[bind(Y,$fot(X_682))]]) ).
cnf(refute_9_251,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_682)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_682) )],[refute_9_250,refute_9_236]) ).
cnf(refute_9_252,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_752)
| s(X_751)
| s(skolemFOFtoCNF_Y_94(X_751)) ),
inference(subst,[],[refute_9_251:[bind(X0,$fot(X_751)),bind(X_682,$fot(X_752))]]) ).
cnf(refute_9_253,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_752)
| s(X_751)
| s(skolemFOFtoCNF_Y_94(X_751)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_230,refute_9_252]) ).
cnf(refute_9_254,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_754)
| s(X_753)
| s(skolemFOFtoCNF_Y_94(X_753)) ),
inference(subst,[],[refute_9_253:[bind(X_751,$fot(X_753)),bind(X_752,$fot(X_754))]]) ).
cnf(refute_9_255,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_754)
| s(X_753) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_753)) )],[refute_9_254,refute_9_234]) ).
cnf(refute_9_256,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_756)
| s(X_755) ),
inference(subst,[],[refute_9_255:[bind(X_753,$fot(X_755)),bind(X_754,$fot(X_756))]]) ).
cnf(refute_9_257,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_756)
| s(X_755) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_256]) ).
cnf(refute_9_258,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_758)
| s(X_757) ),
inference(subst,[],[refute_9_257:[bind(X_755,$fot(X_757)),bind(X_756,$fot(X_758))]]) ).
cnf(refute_9_259,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_758) ),
inference(resolve,[$cnf( s(X_757) )],[refute_9_258,refute_9_233]) ).
cnf(refute_9_260,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_759) ),
inference(subst,[],[refute_9_259:[bind(X_758,$fot(X_759))]]) ).
cnf(refute_9_261,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(X_759) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_260]) ).
cnf(refute_9_262,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_261:[bind(X_759,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_263,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_262,refute_9_9]) ).
cnf(refute_9_264,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_263,refute_9_13]) ).
cnf(refute_9_265,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_264,refute_9_11]) ).
cnf(refute_9_266,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_265:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_267,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| q(Y)
| s(Y0) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_266,refute_9_232]) ).
cnf(refute_9_268,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| q(X_763)
| s(X_764) ),
inference(subst,[],[refute_9_267:[bind(Y,$fot(X_763)),bind(Y0,$fot(X_764))]]) ).
cnf(refute_9_269,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| q(X_763)
| s(X_764) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_268]) ).
cnf(refute_9_270,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| q(X_765)
| s(X_766) ),
inference(subst,[],[refute_9_269:[bind(X_763,$fot(X_765)),bind(X_764,$fot(X_766))]]) ).
cnf(refute_9_271,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| q(X_765) ),
inference(resolve,[$cnf( s(X_766) )],[refute_9_270,refute_9_231]) ).
cnf(refute_9_272,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| q(X_767) ),
inference(subst,[],[refute_9_271:[bind(X_765,$fot(X_767))]]) ).
cnf(refute_9_273,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| q(X_767) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_201,refute_9_272]) ).
cnf(refute_9_274,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| q(skolemFOFtoCNF_Y_91(X)) ),
inference(subst,[],[refute_9_273:[bind(X_767,$fot(skolemFOFtoCNF_Y_91(X)))]]) ).
cnf(refute_9_275,plain,
( ~ definitionFOFtoCNF_13
| ~ q(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_91(X)) )],[refute_9_274,refute_9_122]) ).
cnf(refute_9_276,plain,
( ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_275:[bind(X,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_277,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_276]) ).
cnf(refute_9_278,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_230,refute_9_277]) ).
cnf(refute_9_279,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X)
| definitionFOFtoCNF_12 ),
inference(canonicalize,[],[normalize_9_60]) ).
cnf(refute_9_280,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_814)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_814))]]) ).
cnf(refute_9_281,plain,
( ~ definitionFOFtoCNF_11
| ~ s(skolemFOFtoCNF_Y_94(X_810))
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_810)))]]) ).
cnf(refute_9_282,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_791)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_791))]]) ).
cnf(refute_9_283,plain,
( ~ definitionFOFtoCNF_11
| ~ r(X)
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(canonicalize,[],[normalize_9_61]) ).
cnf(refute_9_284,plain,
( ~ definitionFOFtoCNF_11
| ~ r(skolemFOFtoCNF_Y_93(X_786))
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_283:[bind(X,$fot(skolemFOFtoCNF_Y_93(X_786)))]]) ).
cnf(refute_9_285,plain,
( ~ definitionFOFtoCNF_14(X_783,skolemFOFtoCNF_Y_93(X_783))
| r(X_783)
| r(skolemFOFtoCNF_Y_93(X_783)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_783)),bind(Y,$fot(skolemFOFtoCNF_Y_93(X_783)))]]) ).
cnf(refute_9_286,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_781)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_781))]]) ).
cnf(refute_9_287,plain,
( ~ definitionFOFtoCNF_11
| ~ s(skolemFOFtoCNF_Y_94(X_485))
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_485)))]]) ).
cnf(refute_9_288,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_484,skolemFOFtoCNF_Y_93(X_484))
| s(X_485) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_485)) )],[refute_9_218,refute_9_287]) ).
cnf(refute_9_289,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_484,skolemFOFtoCNF_Y_93(X_484))
| s(X_485) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_288]) ).
cnf(refute_9_290,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_780,skolemFOFtoCNF_Y_93(X_780))
| s(X_781) ),
inference(subst,[],[refute_9_289:[bind(X_484,$fot(X_780)),bind(X_485,$fot(X_781))]]) ).
cnf(refute_9_291,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_780,skolemFOFtoCNF_Y_93(X_780)) ),
inference(resolve,[$cnf( s(X_781) )],[refute_9_290,refute_9_286]) ).
cnf(refute_9_292,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_782,skolemFOFtoCNF_Y_93(X_782)) ),
inference(subst,[],[refute_9_291:[bind(X_780,$fot(X_782))]]) ).
cnf(refute_9_293,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_782,skolemFOFtoCNF_Y_93(X_782)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_292]) ).
cnf(refute_9_294,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_783,skolemFOFtoCNF_Y_93(X_783)) ),
inference(subst,[],[refute_9_293:[bind(X_782,$fot(X_783))]]) ).
cnf(refute_9_295,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_783)
| r(skolemFOFtoCNF_Y_93(X_783)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_783,skolemFOFtoCNF_Y_93(X_783)) )],[refute_9_294,refute_9_285]) ).
cnf(refute_9_296,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_786)
| r(skolemFOFtoCNF_Y_93(X_786)) ),
inference(subst,[],[refute_9_295:[bind(X_783,$fot(X_786))]]) ).
cnf(refute_9_297,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_786) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_93(X_786)) )],[refute_9_296,refute_9_284]) ).
cnf(refute_9_298,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_788) ),
inference(subst,[],[refute_9_297:[bind(X_786,$fot(X_788))]]) ).
cnf(refute_9_299,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_788) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_298]) ).
cnf(refute_9_300,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_299:[bind(X_788,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_301,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_300,refute_9_9]) ).
cnf(refute_9_302,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_301,refute_9_13]) ).
cnf(refute_9_303,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_302,refute_9_11]) ).
cnf(refute_9_304,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_303:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_305,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_433) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_304,refute_9_109]) ).
cnf(refute_9_306,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_791) ),
inference(subst,[],[refute_9_305:[bind(X_433,$fot(X_791))]]) ).
cnf(refute_9_307,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( s(X_791) )],[refute_9_306,refute_9_282]) ).
cnf(refute_9_308,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_307]) ).
cnf(refute_9_309,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_801)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_235:[bind(Y,$fot(X_801))]]) ).
cnf(refute_9_310,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_799)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_799))]]) ).
cnf(refute_9_311,plain,
( ~ definitionFOFtoCNF_11
| ~ s(skolemFOFtoCNF_Y_94(X_797))
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_797)))]]) ).
cnf(refute_9_312,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_92)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_235:[bind(Y,$fot(skolemFOFtoCNF_X_92))]]) ).
cnf(refute_9_313,plain,
( ~ r(skolemFOFtoCNF_X_92)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_92)
| r(X) ),
inference(subst,[],[refute_9_54:[bind(Y,$fot(skolemFOFtoCNF_X_92))]]) ).
cnf(refute_9_314,plain,
( ~ definitionFOFtoCNF_11
| ~ p(X0)
| definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_92) ),
inference(canonicalize,[],[normalize_9_62]) ).
cnf(refute_9_315,plain,
( ~ definitionFOFtoCNF_11
| ~ p(X_771)
| definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_314:[bind(X0,$fot(X_771))]]) ).
cnf(refute_9_316,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_478)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_478))]]) ).
cnf(refute_9_317,plain,
( definitionFOFtoCNF_12
| p(X_479)
| q(X_477)
| s(X_478) ),
inference(subst,[],[refute_9_24:[bind(Y,$fot(X_477)),bind(Y0,$fot(X_478)),bind(Y1,$fot(X_479))]]) ).
cnf(refute_9_318,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(X_479)
| q(X_477) ),
inference(resolve,[$cnf( s(X_478) )],[refute_9_317,refute_9_316]) ).
cnf(refute_9_319,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| p(X_479)
| q(X_477) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_318]) ).
cnf(refute_9_320,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| p(X_771)
| q(X_770) ),
inference(subst,[],[refute_9_319:[bind(X_477,$fot(X_770)),bind(X_479,$fot(X_771))]]) ).
cnf(refute_9_321,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| q(X_770)
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( p(X_771) )],[refute_9_320,refute_9_315]) ).
cnf(refute_9_322,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| q(X_772)
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_321:[bind(X_770,$fot(X_772))]]) ).
cnf(refute_9_323,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| q(X_772)
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_322]) ).
cnf(refute_9_324,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| q(skolemFOFtoCNF_Y_91(X))
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_323:[bind(X_772,$fot(skolemFOFtoCNF_Y_91(X)))]]) ).
cnf(refute_9_325,plain,
( ~ definitionFOFtoCNF_13
| ~ q(X)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_91(X)) )],[refute_9_324,refute_9_122]) ).
cnf(refute_9_326,plain,
( ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_325:[bind(X,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_327,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_326]) ).
cnf(refute_9_328,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_308,refute_9_327]) ).
cnf(refute_9_329,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_92)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_92) )],[refute_9_328,refute_9_313]) ).
cnf(refute_9_330,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_92)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_329:[bind(X,$fot(skolemFOFtoCNF_X_98))]]) ).
cnf(refute_9_331,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_92) )],[refute_9_330,refute_9_312]) ).
cnf(refute_9_332,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98)
| s(X_796)
| s(skolemFOFtoCNF_Y_94(X_796)) ),
inference(subst,[],[refute_9_331:[bind(X0,$fot(X_796))]]) ).
cnf(refute_9_333,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98)
| s(X_796)
| s(skolemFOFtoCNF_Y_94(X_796)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_308,refute_9_332]) ).
cnf(refute_9_334,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98)
| s(X_797)
| s(skolemFOFtoCNF_Y_94(X_797)) ),
inference(subst,[],[refute_9_333:[bind(X_796,$fot(X_797))]]) ).
cnf(refute_9_335,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98)
| s(X_797) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_797)) )],[refute_9_334,refute_9_311]) ).
cnf(refute_9_336,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98)
| s(X_798) ),
inference(subst,[],[refute_9_335:[bind(X_797,$fot(X_798))]]) ).
cnf(refute_9_337,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98)
| s(X_798) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_336]) ).
cnf(refute_9_338,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98)
| s(X_799) ),
inference(subst,[],[refute_9_337:[bind(X_798,$fot(X_799))]]) ).
cnf(refute_9_339,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( s(X_799) )],[refute_9_338,refute_9_310]) ).
cnf(refute_9_340,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_339]) ).
cnf(refute_9_341,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_98) )],[refute_9_340,refute_9_161]) ).
cnf(refute_9_342,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_801)
| r(X_801) ),
inference(subst,[],[refute_9_341:[bind(Y,$fot(X_801))]]) ).
cnf(refute_9_343,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_801)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_801) )],[refute_9_342,refute_9_309]) ).
cnf(refute_9_344,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_809)
| s(X_808)
| s(skolemFOFtoCNF_Y_94(X_808)) ),
inference(subst,[],[refute_9_343:[bind(X0,$fot(X_808)),bind(X_801,$fot(X_809))]]) ).
cnf(refute_9_345,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_809)
| s(X_808)
| s(skolemFOFtoCNF_Y_94(X_808)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_308,refute_9_344]) ).
cnf(refute_9_346,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_811)
| s(X_810)
| s(skolemFOFtoCNF_Y_94(X_810)) ),
inference(subst,[],[refute_9_345:[bind(X_808,$fot(X_810)),bind(X_809,$fot(X_811))]]) ).
cnf(refute_9_347,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_811)
| s(X_810) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_810)) )],[refute_9_346,refute_9_281]) ).
cnf(refute_9_348,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_813)
| s(X_812) ),
inference(subst,[],[refute_9_347:[bind(X_810,$fot(X_812)),bind(X_811,$fot(X_813))]]) ).
cnf(refute_9_349,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_813)
| s(X_812) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_348]) ).
cnf(refute_9_350,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_815)
| s(X_814) ),
inference(subst,[],[refute_9_349:[bind(X_812,$fot(X_814)),bind(X_813,$fot(X_815))]]) ).
cnf(refute_9_351,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_815) ),
inference(resolve,[$cnf( s(X_814) )],[refute_9_350,refute_9_280]) ).
cnf(refute_9_352,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_816) ),
inference(subst,[],[refute_9_351:[bind(X_815,$fot(X_816))]]) ).
cnf(refute_9_353,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(X_816) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_352]) ).
cnf(refute_9_354,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_353:[bind(X_816,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_355,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_354,refute_9_9]) ).
cnf(refute_9_356,plain,
( ~ definitionFOFtoCNF_11
| ~ r(skolemFOFtoCNF_X_92)
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_283:[bind(X,$fot(skolemFOFtoCNF_X_92))]]) ).
cnf(refute_9_357,plain,
( ~ definitionFOFtoCNF_11
| ~ r(skolemFOFtoCNF_Y_93(X_831))
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_283:[bind(X,$fot(skolemFOFtoCNF_Y_93(X_831)))]]) ).
cnf(refute_9_358,plain,
( ~ definitionFOFtoCNF_14(X_830,skolemFOFtoCNF_Y_93(X_830))
| r(X_830)
| r(skolemFOFtoCNF_Y_93(X_830)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_830)),bind(Y,$fot(skolemFOFtoCNF_Y_93(X_830)))]]) ).
cnf(refute_9_359,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_12
| s(skolemFOFtoCNF_X_95) ),
inference(canonicalize,[],[normalize_9_63]) ).
cnf(refute_9_360,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| s(skolemFOFtoCNF_X_95) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_355,refute_9_359]) ).
cnf(refute_9_361,plain,
( definitionFOFtoCNF_10
| s(skolemFOFtoCNF_X_95) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_360]) ).
cnf(refute_9_362,plain,
( ~ definitionFOFtoCNF_11
| ~ p(X_820)
| definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_314:[bind(X0,$fot(X_820))]]) ).
cnf(refute_9_363,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(X_457)
| s(X_456) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_355,refute_9_206]) ).
cnf(refute_9_364,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(X_820)
| s(X_819) ),
inference(subst,[],[refute_9_363:[bind(X_456,$fot(X_819)),bind(X_457,$fot(X_820))]]) ).
cnf(refute_9_365,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_92)
| s(X_819) ),
inference(resolve,[$cnf( p(X_820) )],[refute_9_364,refute_9_362]) ).
cnf(refute_9_366,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_92)
| s(X_821) ),
inference(subst,[],[refute_9_365:[bind(X_819,$fot(X_821))]]) ).
cnf(refute_9_367,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_92)
| s(X_821) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_366]) ).
cnf(refute_9_368,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_92)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_367:[bind(X_821,$fot(skolemFOFtoCNF_Y_94(X0)))]]) ).
cnf(refute_9_369,plain,
( ~ s(X0)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_93(X))
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X0)) )],[refute_9_368,refute_9_27]) ).
cnf(refute_9_370,plain,
( ~ s(skolemFOFtoCNF_X_95)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_828,skolemFOFtoCNF_Y_93(X_828))
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_369:[bind(X,$fot(X_828)),bind(X0,$fot(skolemFOFtoCNF_X_95))]]) ).
cnf(refute_9_371,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_828,skolemFOFtoCNF_Y_93(X_828))
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_95) )],[refute_9_361,refute_9_370]) ).
cnf(refute_9_372,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_830,skolemFOFtoCNF_Y_93(X_830))
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_371:[bind(X_828,$fot(X_830))]]) ).
cnf(refute_9_373,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_830)
| r(skolemFOFtoCNF_X_92)
| r(skolemFOFtoCNF_Y_93(X_830)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_830,skolemFOFtoCNF_Y_93(X_830)) )],[refute_9_372,refute_9_358]) ).
cnf(refute_9_374,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_831)
| r(skolemFOFtoCNF_X_92)
| r(skolemFOFtoCNF_Y_93(X_831)) ),
inference(subst,[],[refute_9_373:[bind(X_830,$fot(X_831))]]) ).
cnf(refute_9_375,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_831)
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_93(X_831)) )],[refute_9_374,refute_9_357]) ).
cnf(refute_9_376,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_833)
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_375:[bind(X_831,$fot(X_833))]]) ).
cnf(refute_9_377,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_833)
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_376]) ).
cnf(refute_9_378,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_377:[bind(X_833,$fot(skolemFOFtoCNF_X_92))]]) ).
cnf(refute_9_379,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_92) )],[refute_9_378,refute_9_356]) ).
cnf(refute_9_380,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_379]) ).
cnf(refute_9_381,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_380,refute_9_13]) ).
cnf(refute_9_382,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_381,refute_9_11]) ).
cnf(refute_9_383,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_382:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_384,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_Y_84) ),
inference(subst,[],[refute_9_44:[bind(X_431,$fot(skolemFOFtoCNF_Y_84))]]) ).
cnf(refute_9_385,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| ~ s(skolemFOFtoCNF_Y_94(X_823))
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_58:[bind(Y0,$fot(skolemFOFtoCNF_Y_94(X_823)))]]) ).
cnf(refute_9_386,plain,
( ~ s(skolemFOFtoCNF_X_95)
| definitionFOFtoCNF_13
| s(X_485)
| s(skolemFOFtoCNF_X_100)
| s(skolemFOFtoCNF_Y_94(X_485)) ),
inference(subst,[],[refute_9_80:[bind(Y0,$fot(skolemFOFtoCNF_X_95))]]) ).
cnf(refute_9_387,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| s(X_485)
| s(skolemFOFtoCNF_X_100)
| s(skolemFOFtoCNF_Y_94(X_485)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_95) )],[refute_9_361,refute_9_386]) ).
cnf(refute_9_388,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| s(X_823)
| s(skolemFOFtoCNF_X_100)
| s(skolemFOFtoCNF_Y_94(X_823)) ),
inference(subst,[],[refute_9_387:[bind(X_485,$fot(X_823))]]) ).
cnf(refute_9_389,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| s(X_823)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_823)) )],[refute_9_388,refute_9_385]) ).
cnf(refute_9_390,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_840)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| s(X_823)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_389:[bind(Y,$fot(X_840))]]) ).
cnf(refute_9_391,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_92)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| s(X_823)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_389:[bind(Y,$fot(skolemFOFtoCNF_X_92))]]) ).
cnf(refute_9_392,plain,
( ~ definitionFOFtoCNF_11
| ~ p(skolemFOFtoCNF_X_91)
| definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_92) ),
inference(subst,[],[refute_9_314:[bind(X0,$fot(skolemFOFtoCNF_X_91))]]) ).
cnf(refute_9_393,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_380,refute_9_392]) ).
cnf(refute_9_394,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_393]) ).
cnf(refute_9_395,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_92)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_92) )],[refute_9_394,refute_9_313]) ).
cnf(refute_9_396,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_92)
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_395:[bind(X,$fot(skolemFOFtoCNF_X_99))]]) ).
cnf(refute_9_397,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(X_823)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_92) )],[refute_9_396,refute_9_391]) ).
cnf(refute_9_398,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_397:[bind(X_823,$fot(skolemFOFtoCNF_X_100))]]) ).
cnf(refute_9_399,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_92)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) ),
inference(subst,[],[refute_9_63:[bind(Y,$fot(skolemFOFtoCNF_X_92))]]) ).
cnf(refute_9_400,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_92) )],[refute_9_396,refute_9_399]) ).
cnf(refute_9_401,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(X_837) ),
inference(subst,[],[refute_9_400:[bind(Y0,$fot(X_837))]]) ).
cnf(refute_9_402,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(X_837) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_398,refute_9_401]) ).
cnf(refute_9_403,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_Y_85) ),
inference(subst,[],[refute_9_402:[bind(X_837,$fot(skolemFOFtoCNF_Y_85))]]) ).
cnf(refute_9_404,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_84)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_85) )],[refute_9_403,refute_9_0]) ).
cnf(refute_9_405,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_84) )],[refute_9_384,refute_9_404]) ).
cnf(refute_9_406,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_383,refute_9_405]) ).
cnf(refute_9_407,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_355,refute_9_406]) ).
cnf(refute_9_408,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_99) )],[refute_9_407,refute_9_48]) ).
cnf(refute_9_409,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_840)
| r(X_840) ),
inference(subst,[],[refute_9_408:[bind(Y,$fot(X_840))]]) ).
cnf(refute_9_410,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_840)
| s(X_823)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_840) )],[refute_9_409,refute_9_390]) ).
cnf(refute_9_411,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_840)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_410:[bind(X_823,$fot(skolemFOFtoCNF_X_100))]]) ).
cnf(refute_9_412,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_840)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) ),
inference(subst,[],[refute_9_63:[bind(Y,$fot(X_840))]]) ).
cnf(refute_9_413,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_840)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_840) )],[refute_9_409,refute_9_412]) ).
cnf(refute_9_414,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_843)
| s(X_842) ),
inference(subst,[],[refute_9_413:[bind(Y0,$fot(X_842)),bind(X_840,$fot(X_843))]]) ).
cnf(refute_9_415,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_840)
| r(X_843)
| s(X_842) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_411,refute_9_414]) ).
cnf(refute_9_416,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_845)
| s(skolemFOFtoCNF_Y_85) ),
inference(subst,[],[refute_9_415:[bind(X_840,$fot(X_845)),bind(X_842,$fot(skolemFOFtoCNF_Y_85)),bind(X_843,$fot(X_845))]]) ).
cnf(refute_9_417,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_84)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_845) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_85) )],[refute_9_416,refute_9_0]) ).
cnf(refute_9_418,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_84)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_846) ),
inference(subst,[],[refute_9_417:[bind(X_845,$fot(X_846))]]) ).
cnf(refute_9_419,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_846) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_84) )],[refute_9_384,refute_9_418]) ).
cnf(refute_9_420,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_847) ),
inference(subst,[],[refute_9_419:[bind(X_846,$fot(X_847))]]) ).
cnf(refute_9_421,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_847) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_383,refute_9_420]) ).
cnf(refute_9_422,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_848) ),
inference(subst,[],[refute_9_421:[bind(X_847,$fot(X_848))]]) ).
cnf(refute_9_423,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(X_848) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_355,refute_9_422]) ).
cnf(refute_9_424,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_423:[bind(X_848,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_425,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_424,refute_9_9]) ).
cnf(refute_9_426,plain,
( ~ definitionFOFtoCNF_12
| ~ s(skolemFOFtoCNF_Y_89)
| p(Y1)
| q(Y) ),
inference(canonicalize,[],[normalize_9_64]) ).
cnf(refute_9_427,plain,
( ~ definitionFOFtoCNF_11
| ~ r(X_869)
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_283:[bind(X,$fot(X_869))]]) ).
cnf(refute_9_428,plain,
( ~ definitionFOFtoCNF_11
| ~ r(skolemFOFtoCNF_Y_95(X_865))
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_283:[bind(X,$fot(skolemFOFtoCNF_Y_95(X_865)))]]) ).
cnf(refute_9_429,plain,
( ~ definitionFOFtoCNF_14(X_861,skolemFOFtoCNF_Y_95(X_861))
| r(X_861)
| r(skolemFOFtoCNF_Y_95(X_861)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_861)),bind(Y,$fot(skolemFOFtoCNF_Y_95(X_861)))]]) ).
cnf(refute_9_430,plain,
( ~ definitionFOFtoCNF_11
| ~ r(X_855)
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_283:[bind(X,$fot(X_855))]]) ).
cnf(refute_9_431,plain,
( ~ definitionFOFtoCNF_11
| ~ r(skolemFOFtoCNF_Y_95(X_852))
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_283:[bind(X,$fot(skolemFOFtoCNF_Y_95(X_852)))]]) ).
cnf(refute_9_432,plain,
( ~ definitionFOFtoCNF_14(X_851,skolemFOFtoCNF_Y_95(X_851))
| r(X_851)
| r(skolemFOFtoCNF_Y_95(X_851)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_851)),bind(Y,$fot(skolemFOFtoCNF_Y_95(X_851)))]]) ).
cnf(refute_9_433,plain,
( ~ definitionFOFtoCNF_13
| ~ s(skolemFOFtoCNF_X_95)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_139:[bind(Y0,$fot(skolemFOFtoCNF_X_95))]]) ).
cnf(refute_9_434,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_95) )],[refute_9_361,refute_9_433]) ).
cnf(refute_9_435,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_425,refute_9_434]) ).
cnf(refute_9_436,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_14(X_851,skolemFOFtoCNF_Y_95(X_851))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_435:[bind(X,$fot(X_851))]]) ).
cnf(refute_9_437,plain,
( definitionFOFtoCNF_10
| r(X_851)
| r(skolemFOFtoCNF_Y_95(X_851))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_851,skolemFOFtoCNF_Y_95(X_851)) )],[refute_9_436,refute_9_432]) ).
cnf(refute_9_438,plain,
( definitionFOFtoCNF_10
| r(X_852)
| r(skolemFOFtoCNF_Y_95(X_852))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_437:[bind(X_851,$fot(X_852))]]) ).
cnf(refute_9_439,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_852)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_95(X_852)) )],[refute_9_438,refute_9_431]) ).
cnf(refute_9_440,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_854)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_439:[bind(X_852,$fot(X_854))]]) ).
cnf(refute_9_441,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_854)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_440]) ).
cnf(refute_9_442,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_855)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_441:[bind(X_854,$fot(X_855))]]) ).
cnf(refute_9_443,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( r(X_855) )],[refute_9_442,refute_9_430]) ).
cnf(refute_9_444,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_443]) ).
cnf(refute_9_445,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| p(skolemFOFtoCNF_X_91)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_444,refute_9_135]) ).
cnf(refute_9_446,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_14(X_859,skolemFOFtoCNF_Y_95(X_859))
| p(skolemFOFtoCNF_X_91)
| s(X_860) ),
inference(subst,[],[refute_9_445:[bind(X,$fot(X_859)),bind(Y0,$fot(X_860))]]) ).
cnf(refute_9_447,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_14(X_859,skolemFOFtoCNF_Y_95(X_859))
| p(skolemFOFtoCNF_X_91)
| s(X_860) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_425,refute_9_446]) ).
cnf(refute_9_448,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_14(X_861,skolemFOFtoCNF_Y_95(X_861))
| p(skolemFOFtoCNF_X_91)
| s(X_862) ),
inference(subst,[],[refute_9_447:[bind(X_859,$fot(X_861)),bind(X_860,$fot(X_862))]]) ).
cnf(refute_9_449,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_861)
| r(skolemFOFtoCNF_Y_95(X_861))
| s(X_862) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_861,skolemFOFtoCNF_Y_95(X_861)) )],[refute_9_448,refute_9_429]) ).
cnf(refute_9_450,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_865)
| r(skolemFOFtoCNF_Y_95(X_865))
| s(X_866) ),
inference(subst,[],[refute_9_449:[bind(X_861,$fot(X_865)),bind(X_862,$fot(X_866))]]) ).
cnf(refute_9_451,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_865)
| s(X_866) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_95(X_865)) )],[refute_9_450,refute_9_428]) ).
cnf(refute_9_452,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_867)
| s(X_868) ),
inference(subst,[],[refute_9_451:[bind(X_865,$fot(X_867)),bind(X_866,$fot(X_868))]]) ).
cnf(refute_9_453,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_867)
| s(X_868) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_452]) ).
cnf(refute_9_454,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(X_869)
| s(X_870) ),
inference(subst,[],[refute_9_453:[bind(X_867,$fot(X_869)),bind(X_868,$fot(X_870))]]) ).
cnf(refute_9_455,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| s(X_870) ),
inference(resolve,[$cnf( r(X_869) )],[refute_9_454,refute_9_427]) ).
cnf(refute_9_456,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| s(X_871) ),
inference(subst,[],[refute_9_455:[bind(X_870,$fot(X_871))]]) ).
cnf(refute_9_457,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| s(X_871) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_456]) ).
cnf(refute_9_458,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| s(skolemFOFtoCNF_Y_89) ),
inference(subst,[],[refute_9_457:[bind(X_871,$fot(skolemFOFtoCNF_Y_89))]]) ).
cnf(refute_9_459,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| p(Y1)
| p(skolemFOFtoCNF_X_91)
| q(Y) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_89) )],[refute_9_458,refute_9_426]) ).
cnf(refute_9_460,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| p(X_874)
| p(skolemFOFtoCNF_X_91)
| q(X_873) ),
inference(subst,[],[refute_9_459:[bind(Y,$fot(X_873)),bind(Y1,$fot(X_874))]]) ).
cnf(refute_9_461,plain,
( definitionFOFtoCNF_10
| p(X_874)
| p(skolemFOFtoCNF_X_91)
| q(X_873) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_355,refute_9_460]) ).
cnf(refute_9_462,plain,
( definitionFOFtoCNF_10
| p(X_876)
| p(skolemFOFtoCNF_X_91)
| q(skolemFOFtoCNF_Y_91(X)) ),
inference(subst,[],[refute_9_461:[bind(X_873,$fot(skolemFOFtoCNF_Y_91(X))),bind(X_874,$fot(X_876))]]) ).
cnf(refute_9_463,plain,
( ~ definitionFOFtoCNF_13
| ~ q(X)
| definitionFOFtoCNF_10
| p(X_876)
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_91(X)) )],[refute_9_462,refute_9_122]) ).
cnf(refute_9_464,plain,
( ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_10
| p(X_879)
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_463:[bind(X,$fot(skolemFOFtoCNF_X_101)),bind(X_876,$fot(X_879))]]) ).
cnf(refute_9_465,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| p(X_879)
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_464]) ).
cnf(refute_9_466,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| p(X_880)
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_465:[bind(X_879,$fot(X_880))]]) ).
cnf(refute_9_467,plain,
( definitionFOFtoCNF_10
| p(X_880)
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_425,refute_9_466]) ).
cnf(refute_9_468,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_467:[bind(X_880,$fot(skolemFOFtoCNF_X_91))]]) ).
cnf(refute_9_469,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_468,refute_9_13]) ).
cnf(refute_9_470,plain,
( definitionFOFtoCNF_10
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_469,refute_9_11]) ).
cnf(refute_9_471,plain,
( definitionFOFtoCNF_10
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_470:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_472,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| q(Y)
| s(Y0) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_471,refute_9_232]) ).
cnf(refute_9_473,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_10
| q(X_884)
| s(X_885) ),
inference(subst,[],[refute_9_472:[bind(Y,$fot(X_884)),bind(Y0,$fot(X_885))]]) ).
cnf(refute_9_474,plain,
( definitionFOFtoCNF_10
| q(X_884)
| s(X_885) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_355,refute_9_473]) ).
cnf(refute_9_475,plain,
( definitionFOFtoCNF_10
| q(skolemFOFtoCNF_Y_91(X))
| s(X_887) ),
inference(subst,[],[refute_9_474:[bind(X_884,$fot(skolemFOFtoCNF_Y_91(X))),bind(X_885,$fot(X_887))]]) ).
cnf(refute_9_476,plain,
( ~ definitionFOFtoCNF_13
| ~ q(X)
| definitionFOFtoCNF_10
| s(X_887) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_91(X)) )],[refute_9_475,refute_9_122]) ).
cnf(refute_9_477,plain,
( ~ definitionFOFtoCNF_13
| ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_10
| s(X_889) ),
inference(subst,[],[refute_9_476:[bind(X,$fot(skolemFOFtoCNF_X_101)),bind(X_887,$fot(X_889))]]) ).
cnf(refute_9_478,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| s(X_889) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_477]) ).
cnf(refute_9_479,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| s(X_890) ),
inference(subst,[],[refute_9_478:[bind(X_889,$fot(X_890))]]) ).
cnf(refute_9_480,plain,
( definitionFOFtoCNF_10
| s(X_890) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_425,refute_9_479]) ).
cnf(refute_9_481,plain,
( definitionFOFtoCNF_10
| s(X_892) ),
inference(subst,[],[refute_9_480:[bind(X_890,$fot(X_892))]]) ).
cnf(refute_9_482,plain,
( definitionFOFtoCNF_10
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_480:[bind(X_890,$fot(skolemFOFtoCNF_Y_94(X0)))]]) ).
cnf(refute_9_483,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| ~ s(X0)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X0)) )],[refute_9_482,refute_9_165]) ).
cnf(refute_9_484,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_893)
| ~ s(X_892)
| definitionFOFtoCNF_10 ),
inference(subst,[],[refute_9_483:[bind(X0,$fot(X_892)),bind(Y,$fot(X_893))]]) ).
cnf(refute_9_485,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_893)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( s(X_892) )],[refute_9_481,refute_9_484]) ).
cnf(refute_9_486,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_896)
| definitionFOFtoCNF_10 ),
inference(subst,[],[refute_9_485:[bind(X_893,$fot(X_896))]]) ).
cnf(refute_9_487,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_468,refute_9_392]) ).
cnf(refute_9_488,plain,
( definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_92) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_278,refute_9_487]) ).
cnf(refute_9_489,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_92)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_92) )],[refute_9_488,refute_9_313]) ).
cnf(refute_9_490,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_92)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_489:[bind(X,$fot(skolemFOFtoCNF_X_98))]]) ).
cnf(refute_9_491,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_92)
| definitionFOFtoCNF_10 ),
inference(subst,[],[refute_9_485:[bind(X_893,$fot(skolemFOFtoCNF_X_92))]]) ).
cnf(refute_9_492,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_92) )],[refute_9_490,refute_9_491]) ).
cnf(refute_9_493,plain,
( definitionFOFtoCNF_10
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_425,refute_9_492]) ).
cnf(refute_9_494,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_98) )],[refute_9_493,refute_9_161]) ).
cnf(refute_9_495,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_896)
| r(X_896) ),
inference(subst,[],[refute_9_494:[bind(Y,$fot(X_896))]]) ).
cnf(refute_9_496,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| r(X_896) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_896) )],[refute_9_495,refute_9_486]) ).
cnf(refute_9_497,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_10
| r(X_897) ),
inference(subst,[],[refute_9_496:[bind(X_896,$fot(X_897))]]) ).
cnf(refute_9_498,plain,
( definitionFOFtoCNF_10
| r(X_897) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_425,refute_9_497]) ).
cnf(refute_9_499,plain,
( definitionFOFtoCNF_10
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_498:[bind(X_897,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_500,plain,
definitionFOFtoCNF_10,
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_499,refute_9_9]) ).
cnf(refute_9_501,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_561,skolemFOFtoCNF_Y_93(X_561))
| p(X_560) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_35]) ).
cnf(refute_9_502,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_905,skolemFOFtoCNF_Y_93(X_905))
| p(X_904) ),
inference(subst,[],[refute_9_501:[bind(X_560,$fot(X_904)),bind(X_561,$fot(X_905))]]) ).
cnf(refute_9_503,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_905,skolemFOFtoCNF_Y_93(X_905))
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( p(X_904) )],[refute_9_502,refute_9_23]) ).
cnf(refute_9_504,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_905,skolemFOFtoCNF_Y_93(X_905))
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_503]) ).
cnf(refute_9_505,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_906,skolemFOFtoCNF_Y_93(X_906))
| r(skolemFOFtoCNF_X_93) ),
inference(subst,[],[refute_9_504:[bind(X_905,$fot(X_906))]]) ).
cnf(refute_9_506,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_906)
| r(skolemFOFtoCNF_X_93)
| r(skolemFOFtoCNF_Y_93(X_906)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_906,skolemFOFtoCNF_Y_93(X_906)) )],[refute_9_505,refute_9_21]) ).
cnf(refute_9_507,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_916)
| r(skolemFOFtoCNF_X_93)
| r(skolemFOFtoCNF_Y_93(X_916)) ),
inference(subst,[],[refute_9_506:[bind(X_906,$fot(X_916))]]) ).
cnf(refute_9_508,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_916)
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_93(X_916)) )],[refute_9_507,refute_9_19]) ).
cnf(refute_9_509,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_916)
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_508]) ).
cnf(refute_9_510,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_93) ),
inference(subst,[],[refute_9_509:[bind(X_916,$fot(skolemFOFtoCNF_X_93))]]) ).
cnf(refute_9_511,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_93) )],[refute_9_510,refute_9_18]) ).
cnf(refute_9_512,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_511]) ).
cnf(refute_9_513,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_512,refute_9_13]) ).
cnf(refute_9_514,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_513,refute_9_11]) ).
cnf(refute_9_515,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_514:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_516,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_925)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_499)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_84:[bind(Y,$fot(X_925))]]) ).
cnf(refute_9_517,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_93)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| s(X_499)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_84:[bind(Y,$fot(skolemFOFtoCNF_X_93))]]) ).
cnf(refute_9_518,plain,
( ~ r(skolemFOFtoCNF_X_93)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_93)
| r(X) ),
inference(subst,[],[refute_9_54:[bind(Y,$fot(skolemFOFtoCNF_X_93))]]) ).
cnf(refute_9_519,plain,
( ~ definitionFOFtoCNF_10
| ~ p(skolemFOFtoCNF_X_91)
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_93) ),
inference(subst,[],[refute_9_22:[bind(X0,$fot(skolemFOFtoCNF_X_91))]]) ).
cnf(refute_9_520,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_512,refute_9_519]) ).
cnf(refute_9_521,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_520]) ).
cnf(refute_9_522,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_93)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_93) )],[refute_9_521,refute_9_518]) ).
cnf(refute_9_523,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_93)
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_522:[bind(X,$fot(skolemFOFtoCNF_X_99))]]) ).
cnf(refute_9_524,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(X_499)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_93) )],[refute_9_523,refute_9_517]) ).
cnf(refute_9_525,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_524:[bind(X_499,$fot(skolemFOFtoCNF_X_100))]]) ).
cnf(refute_9_526,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_93)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) ),
inference(subst,[],[refute_9_63:[bind(Y,$fot(skolemFOFtoCNF_X_93))]]) ).
cnf(refute_9_527,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_93) )],[refute_9_523,refute_9_526]) ).
cnf(refute_9_528,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(X_920) ),
inference(subst,[],[refute_9_527:[bind(Y0,$fot(X_920))]]) ).
cnf(refute_9_529,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(X_920) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_525,refute_9_528]) ).
cnf(refute_9_530,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_Y_82) ),
inference(subst,[],[refute_9_529:[bind(X_920,$fot(skolemFOFtoCNF_Y_82))]]) ).
cnf(refute_9_531,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(Y)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_82) )],[refute_9_530,refute_9_123]) ).
cnf(refute_9_532,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(X_922)
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_531:[bind(Y,$fot(X_922))]]) ).
cnf(refute_9_533,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(X_922)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_515,refute_9_532]) ).
cnf(refute_9_534,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_Y_92(X))
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_533:[bind(X_922,$fot(skolemFOFtoCNF_Y_92(X)))]]) ).
cnf(refute_9_535,plain,
( ~ definitionFOFtoCNF_10
| ~ q(X)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_92(X)) )],[refute_9_534,refute_9_14]) ).
cnf(refute_9_536,plain,
( ~ q(X)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_535]) ).
cnf(refute_9_537,plain,
( ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_536:[bind(X,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_538,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_537]) ).
cnf(refute_9_539,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_99) )],[refute_9_538,refute_9_48]) ).
cnf(refute_9_540,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_925)
| r(X_925) ),
inference(subst,[],[refute_9_539:[bind(Y,$fot(X_925))]]) ).
cnf(refute_9_541,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_925)
| s(X_499)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_925) )],[refute_9_540,refute_9_516]) ).
cnf(refute_9_542,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_925)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_541:[bind(X_499,$fot(skolemFOFtoCNF_X_100))]]) ).
cnf(refute_9_543,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_925)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) ),
inference(subst,[],[refute_9_63:[bind(Y,$fot(X_925))]]) ).
cnf(refute_9_544,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_925)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_925) )],[refute_9_540,refute_9_543]) ).
cnf(refute_9_545,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_935)
| s(X_934) ),
inference(subst,[],[refute_9_544:[bind(Y0,$fot(X_934)),bind(X_925,$fot(X_935))]]) ).
cnf(refute_9_546,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_925)
| r(X_935)
| s(X_934) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_542,refute_9_545]) ).
cnf(refute_9_547,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_937)
| s(skolemFOFtoCNF_Y_82) ),
inference(subst,[],[refute_9_546:[bind(X_925,$fot(X_937)),bind(X_934,$fot(skolemFOFtoCNF_Y_82)),bind(X_935,$fot(X_937))]]) ).
cnf(refute_9_548,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(Y)
| r(X_937) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_82) )],[refute_9_547,refute_9_123]) ).
cnf(refute_9_549,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(X_940)
| r(X_941) ),
inference(subst,[],[refute_9_548:[bind(Y,$fot(X_940)),bind(X_937,$fot(X_941))]]) ).
cnf(refute_9_550,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(X_940)
| r(X_941) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_515,refute_9_549]) ).
cnf(refute_9_551,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(X_942)
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_550:[bind(X_940,$fot(X_942)),bind(X_941,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_552,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(X_942) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_551,refute_9_9]) ).
cnf(refute_9_553,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_Y_92(X)) ),
inference(subst,[],[refute_9_552:[bind(X_942,$fot(skolemFOFtoCNF_Y_92(X)))]]) ).
cnf(refute_9_554,plain,
( ~ definitionFOFtoCNF_10
| ~ q(X)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_92(X)) )],[refute_9_553,refute_9_14]) ).
cnf(refute_9_555,plain,
( ~ q(X)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_554]) ).
cnf(refute_9_556,plain,
( ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(subst,[],[refute_9_555:[bind(X,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_557,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_556]) ).
cnf(refute_9_558,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(skolemFOFtoCNF_X_97) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_557,refute_9_8]) ).
cnf(refute_9_559,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(skolemFOFtoCNF_X_97) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_558]) ).
cnf(refute_9_560,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_97) )],[refute_9_559,refute_9_4]) ).
cnf(refute_9_561,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(Y) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_560]) ).
cnf(refute_9_562,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(X_946) ),
inference(subst,[],[refute_9_561:[bind(Y,$fot(X_946))]]) ).
cnf(refute_9_563,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(X_946) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_557,refute_9_562]) ).
cnf(refute_9_564,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(skolemFOFtoCNF_Y_83) ),
inference(subst,[],[refute_9_563:[bind(X_946,$fot(skolemFOFtoCNF_Y_83))]]) ).
cnf(refute_9_565,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_83) )],[refute_9_564,refute_9_107]) ).
cnf(refute_9_566,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| q(skolemFOFtoCNF_Y_87) ),
inference(subst,[],[refute_9_563:[bind(X_946,$fot(skolemFOFtoCNF_Y_87))]]) ).
cnf(refute_9_567,plain,
( ~ definitionFOFtoCNF_10
| ~ r(X_972)
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_17:[bind(X,$fot(X_972))]]) ).
cnf(refute_9_568,plain,
( ~ definitionFOFtoCNF_10
| ~ r(skolemFOFtoCNF_Y_95(X_970))
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_17:[bind(X,$fot(skolemFOFtoCNF_Y_95(X_970)))]]) ).
cnf(refute_9_569,plain,
( ~ definitionFOFtoCNF_14(X_966,skolemFOFtoCNF_Y_95(X_966))
| r(X_966)
| r(skolemFOFtoCNF_Y_95(X_966)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_966)),bind(Y,$fot(skolemFOFtoCNF_Y_95(X_966)))]]) ).
cnf(refute_9_570,plain,
( ~ definitionFOFtoCNF_10
| ~ r(X_951)
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_17:[bind(X,$fot(X_951))]]) ).
cnf(refute_9_571,plain,
( ~ definitionFOFtoCNF_10
| ~ r(skolemFOFtoCNF_Y_95(X_950))
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_17:[bind(X,$fot(skolemFOFtoCNF_Y_95(X_950)))]]) ).
cnf(refute_9_572,plain,
( ~ definitionFOFtoCNF_14(X_949,skolemFOFtoCNF_Y_95(X_949))
| r(X_949)
| r(skolemFOFtoCNF_Y_95(X_949)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_949)),bind(Y,$fot(skolemFOFtoCNF_Y_95(X_949)))]]) ).
cnf(refute_9_573,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_472,skolemFOFtoCNF_Y_95(X_472))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_557,refute_9_141]) ).
cnf(refute_9_574,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_949,skolemFOFtoCNF_Y_95(X_949))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_573:[bind(X_472,$fot(X_949))]]) ).
cnf(refute_9_575,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_949)
| r(skolemFOFtoCNF_Y_95(X_949))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_949,skolemFOFtoCNF_Y_95(X_949)) )],[refute_9_574,refute_9_572]) ).
cnf(refute_9_576,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_950)
| r(skolemFOFtoCNF_Y_95(X_950))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_575:[bind(X_949,$fot(X_950))]]) ).
cnf(refute_9_577,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_950)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_95(X_950)) )],[refute_9_576,refute_9_571]) ).
cnf(refute_9_578,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_950)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_577]) ).
cnf(refute_9_579,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_951)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_578:[bind(X_950,$fot(X_951))]]) ).
cnf(refute_9_580,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( r(X_951) )],[refute_9_579,refute_9_570]) ).
cnf(refute_9_581,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_580]) ).
cnf(refute_9_582,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| p(skolemFOFtoCNF_X_91)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_581,refute_9_135]) ).
cnf(refute_9_583,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_964,skolemFOFtoCNF_Y_95(X_964))
| p(skolemFOFtoCNF_X_91)
| s(X_965) ),
inference(subst,[],[refute_9_582:[bind(X,$fot(X_964)),bind(Y0,$fot(X_965))]]) ).
cnf(refute_9_584,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_964,skolemFOFtoCNF_Y_95(X_964))
| p(skolemFOFtoCNF_X_91)
| s(X_965) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_557,refute_9_583]) ).
cnf(refute_9_585,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X_966,skolemFOFtoCNF_Y_95(X_966))
| p(skolemFOFtoCNF_X_91)
| s(X_967) ),
inference(subst,[],[refute_9_584:[bind(X_964,$fot(X_966)),bind(X_965,$fot(X_967))]]) ).
cnf(refute_9_586,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_966)
| r(skolemFOFtoCNF_Y_95(X_966))
| s(X_967) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_966,skolemFOFtoCNF_Y_95(X_966)) )],[refute_9_585,refute_9_569]) ).
cnf(refute_9_587,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_970)
| r(skolemFOFtoCNF_Y_95(X_970))
| s(X_971) ),
inference(subst,[],[refute_9_586:[bind(X_966,$fot(X_970)),bind(X_967,$fot(X_971))]]) ).
cnf(refute_9_588,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_970)
| s(X_971) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_95(X_970)) )],[refute_9_587,refute_9_568]) ).
cnf(refute_9_589,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_970)
| s(X_971) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_588]) ).
cnf(refute_9_590,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_972)
| s(X_973) ),
inference(subst,[],[refute_9_589:[bind(X_970,$fot(X_972)),bind(X_971,$fot(X_973))]]) ).
cnf(refute_9_591,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| s(X_973) ),
inference(resolve,[$cnf( r(X_972) )],[refute_9_590,refute_9_567]) ).
cnf(refute_9_592,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| s(X_973) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_591]) ).
cnf(refute_9_593,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| s(skolemFOFtoCNF_Y_88) ),
inference(subst,[],[refute_9_592:[bind(X_973,$fot(skolemFOFtoCNF_Y_88))]]) ).
cnf(refute_9_594,plain,
( ~ q(skolemFOFtoCNF_Y_87)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(Y1)
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_88) )],[refute_9_593,refute_9_46]) ).
cnf(refute_9_595,plain,
( ~ q(skolemFOFtoCNF_Y_87)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(X_975)
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_594:[bind(Y1,$fot(X_975))]]) ).
cnf(refute_9_596,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(X_975)
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_87) )],[refute_9_566,refute_9_595]) ).
cnf(refute_9_597,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_596:[bind(X_975,$fot(skolemFOFtoCNF_X_91))]]) ).
cnf(refute_9_598,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_597,refute_9_13]) ).
cnf(refute_9_599,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_598,refute_9_11]) ).
cnf(refute_9_600,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_599:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_601,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_600,refute_9_565]) ).
cnf(refute_9_602,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(X_980) ),
inference(subst,[],[refute_9_601:[bind(Y,$fot(X_980))]]) ).
cnf(refute_9_603,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_601:[bind(Y,$fot(skolemFOFtoCNF_Y_94(X0)))]]) ).
cnf(refute_9_604,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| ~ s(X0)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X0)) )],[refute_9_603,refute_9_165]) ).
cnf(refute_9_605,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_981)
| ~ s(X_980)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_604:[bind(X0,$fot(X_980)),bind(Y,$fot(X_981))]]) ).
cnf(refute_9_606,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_981)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( s(X_980) )],[refute_9_602,refute_9_605]) ).
cnf(refute_9_607,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_984)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_606:[bind(X_981,$fot(X_984))]]) ).
cnf(refute_9_608,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_597,refute_9_519]) ).
cnf(refute_9_609,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_608]) ).
cnf(refute_9_610,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_93)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_93) )],[refute_9_609,refute_9_518]) ).
cnf(refute_9_611,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_93)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_610:[bind(X,$fot(skolemFOFtoCNF_X_98))]]) ).
cnf(refute_9_612,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_93)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_606:[bind(X_981,$fot(skolemFOFtoCNF_X_93))]]) ).
cnf(refute_9_613,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_93) )],[refute_9_611,refute_9_612]) ).
cnf(refute_9_614,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_557,refute_9_613]) ).
cnf(refute_9_615,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_98) )],[refute_9_614,refute_9_161]) ).
cnf(refute_9_616,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_984)
| r(X_984) ),
inference(subst,[],[refute_9_615:[bind(Y,$fot(X_984))]]) ).
cnf(refute_9_617,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_984) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_984) )],[refute_9_616,refute_9_607]) ).
cnf(refute_9_618,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_985) ),
inference(subst,[],[refute_9_617:[bind(X_984,$fot(X_985))]]) ).
cnf(refute_9_619,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(X_985) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_557,refute_9_618]) ).
cnf(refute_9_620,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_619:[bind(X_985,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_621,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_620,refute_9_9]) ).
cnf(refute_9_622,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_1033)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_1033))]]) ).
cnf(refute_9_623,plain,
( ~ definitionFOFtoCNF_12
| ~ s(skolemFOFtoCNF_Y_94(X_1029))
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_1029)))]]) ).
cnf(refute_9_624,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_1004)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_1004))]]) ).
cnf(refute_9_625,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_987)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_987))]]) ).
cnf(refute_9_626,plain,
( ~ definitionFOFtoCNF_12
| ~ s(skolemFOFtoCNF_Y_94(X_960))
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_960)))]]) ).
cnf(refute_9_627,plain,
( ~ definitionFOFtoCNF_10
| ~ r(X_958)
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_17:[bind(X,$fot(X_958))]]) ).
cnf(refute_9_628,plain,
( ~ definitionFOFtoCNF_10
| ~ r(skolemFOFtoCNF_Y_93(X_502))
| definitionFOFtoCNF_11
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_17:[bind(X,$fot(skolemFOFtoCNF_Y_93(X_502)))]]) ).
cnf(refute_9_629,plain,
( ~ definitionFOFtoCNF_14(X_484,skolemFOFtoCNF_Y_93(X_484))
| r(X_484)
| r(skolemFOFtoCNF_Y_93(X_484)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_484)),bind(Y,$fot(skolemFOFtoCNF_Y_93(X_484)))]]) ).
cnf(refute_9_630,plain,
( definitionFOFtoCNF_13
| r(X_484)
| r(skolemFOFtoCNF_Y_93(X_484))
| s(X_485)
| s(skolemFOFtoCNF_Y_94(X_485)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_484,skolemFOFtoCNF_Y_93(X_484)) )],[refute_9_218,refute_9_629]) ).
cnf(refute_9_631,plain,
( definitionFOFtoCNF_13
| r(X_502)
| r(skolemFOFtoCNF_Y_93(X_502))
| s(X_503)
| s(skolemFOFtoCNF_Y_94(X_503)) ),
inference(subst,[],[refute_9_630:[bind(X_484,$fot(X_502)),bind(X_485,$fot(X_503))]]) ).
cnf(refute_9_632,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_502)
| s(X_503)
| s(skolemFOFtoCNF_Y_94(X_503)) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_93(X_502)) )],[refute_9_631,refute_9_628]) ).
cnf(refute_9_633,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_502)
| s(X_503)
| s(skolemFOFtoCNF_Y_94(X_503)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_632]) ).
cnf(refute_9_634,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_958)
| s(X_959)
| s(skolemFOFtoCNF_Y_94(X_959)) ),
inference(subst,[],[refute_9_633:[bind(X_502,$fot(X_958)),bind(X_503,$fot(X_959))]]) ).
cnf(refute_9_635,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| s(X_959)
| s(skolemFOFtoCNF_Y_94(X_959)) ),
inference(resolve,[$cnf( r(X_958) )],[refute_9_634,refute_9_627]) ).
cnf(refute_9_636,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| s(X_959)
| s(skolemFOFtoCNF_Y_94(X_959)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_635]) ).
cnf(refute_9_637,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| s(X_960)
| s(skolemFOFtoCNF_Y_94(X_960)) ),
inference(subst,[],[refute_9_636:[bind(X_959,$fot(X_960))]]) ).
cnf(refute_9_638,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| s(X_960) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_960)) )],[refute_9_637,refute_9_626]) ).
cnf(refute_9_639,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| s(X_960) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_638]) ).
cnf(refute_9_640,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| s(X_987) ),
inference(subst,[],[refute_9_639:[bind(X_960,$fot(X_987))]]) ).
cnf(refute_9_641,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( s(X_987) )],[refute_9_640,refute_9_625]) ).
cnf(refute_9_642,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_641]) ).
cnf(refute_9_643,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_642,refute_9_13]) ).
cnf(refute_9_644,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_643,refute_9_11]) ).
cnf(refute_9_645,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_644:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_646,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| q(Y)
| s(Y0) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_645,refute_9_232]) ).
cnf(refute_9_647,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| q(X_1001)
| s(X_1002) ),
inference(subst,[],[refute_9_646:[bind(Y,$fot(X_1001)),bind(Y0,$fot(X_1002))]]) ).
cnf(refute_9_648,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| q(X_1001)
| s(X_1002) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_647]) ).
cnf(refute_9_649,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| q(X_1003)
| s(X_1004) ),
inference(subst,[],[refute_9_648:[bind(X_1001,$fot(X_1003)),bind(X_1002,$fot(X_1004))]]) ).
cnf(refute_9_650,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| q(X_1003) ),
inference(resolve,[$cnf( s(X_1004) )],[refute_9_649,refute_9_624]) ).
cnf(refute_9_651,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| q(X_1005) ),
inference(subst,[],[refute_9_650:[bind(X_1003,$fot(X_1005))]]) ).
cnf(refute_9_652,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| q(X_1005) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_651]) ).
cnf(refute_9_653,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13
| q(skolemFOFtoCNF_Y_92(X)) ),
inference(subst,[],[refute_9_652:[bind(X_1005,$fot(skolemFOFtoCNF_Y_92(X)))]]) ).
cnf(refute_9_654,plain,
( ~ definitionFOFtoCNF_10
| ~ q(X)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_92(X)) )],[refute_9_653,refute_9_14]) ).
cnf(refute_9_655,plain,
( ~ q(X)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_654]) ).
cnf(refute_9_656,plain,
( ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_11
| definitionFOFtoCNF_13 ),
inference(subst,[],[refute_9_655:[bind(X,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_657,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_656]) ).
cnf(refute_9_658,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_1024)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_235:[bind(Y,$fot(X_1024))]]) ).
cnf(refute_9_659,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_1022)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_1022))]]) ).
cnf(refute_9_660,plain,
( ~ definitionFOFtoCNF_12
| ~ s(skolemFOFtoCNF_Y_94(X_1020))
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_1020)))]]) ).
cnf(refute_9_661,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_93)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_235:[bind(Y,$fot(skolemFOFtoCNF_X_93))]]) ).
cnf(refute_9_662,plain,
( ~ definitionFOFtoCNF_10
| ~ p(X_1015)
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_93) ),
inference(subst,[],[refute_9_22:[bind(X0,$fot(X_1015))]]) ).
cnf(refute_9_663,plain,
( ~ definitionFOFtoCNF_12
| ~ s(X_1012)
| definitionFOFtoCNF_11 ),
inference(subst,[],[refute_9_202:[bind(X,$fot(X_1012))]]) ).
cnf(refute_9_664,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| q(skolemFOFtoCNF_X_97) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_657,refute_9_8]) ).
cnf(refute_9_665,plain,
( definitionFOFtoCNF_11
| q(skolemFOFtoCNF_X_97) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_664]) ).
cnf(refute_9_666,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_97) )],[refute_9_665,refute_9_4]) ).
cnf(refute_9_667,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| q(Y) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_666]) ).
cnf(refute_9_668,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| q(X_1008) ),
inference(subst,[],[refute_9_667:[bind(Y,$fot(X_1008))]]) ).
cnf(refute_9_669,plain,
( definitionFOFtoCNF_11
| q(X_1008) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_657,refute_9_668]) ).
cnf(refute_9_670,plain,
( definitionFOFtoCNF_11
| q(skolemFOFtoCNF_Y_90) ),
inference(subst,[],[refute_9_669:[bind(X_1008,$fot(skolemFOFtoCNF_Y_90))]]) ).
cnf(refute_9_671,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| p(Y1)
| s(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_90) )],[refute_9_670,refute_9_3]) ).
cnf(refute_9_672,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| p(X_1011)
| s(X_1010) ),
inference(subst,[],[refute_9_671:[bind(Y,$fot(X_1010)),bind(Y1,$fot(X_1011))]]) ).
cnf(refute_9_673,plain,
( definitionFOFtoCNF_11
| p(X_1011)
| s(X_1010) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_672]) ).
cnf(refute_9_674,plain,
( definitionFOFtoCNF_11
| p(X_1013)
| s(X_1012) ),
inference(subst,[],[refute_9_673:[bind(X_1010,$fot(X_1012)),bind(X_1011,$fot(X_1013))]]) ).
cnf(refute_9_675,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| p(X_1013) ),
inference(resolve,[$cnf( s(X_1012) )],[refute_9_674,refute_9_663]) ).
cnf(refute_9_676,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| p(X_1014) ),
inference(subst,[],[refute_9_675:[bind(X_1013,$fot(X_1014))]]) ).
cnf(refute_9_677,plain,
( definitionFOFtoCNF_11
| p(X_1014) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_676]) ).
cnf(refute_9_678,plain,
( definitionFOFtoCNF_11
| p(X_1015) ),
inference(subst,[],[refute_9_677:[bind(X_1014,$fot(X_1015))]]) ).
cnf(refute_9_679,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( p(X_1015) )],[refute_9_678,refute_9_662]) ).
cnf(refute_9_680,plain,
( definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_93) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_679]) ).
cnf(refute_9_681,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_93)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_93) )],[refute_9_680,refute_9_518]) ).
cnf(refute_9_682,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_93)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_681:[bind(X,$fot(skolemFOFtoCNF_X_98))]]) ).
cnf(refute_9_683,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_93) )],[refute_9_682,refute_9_661]) ).
cnf(refute_9_684,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98)
| s(X_1019)
| s(skolemFOFtoCNF_Y_94(X_1019)) ),
inference(subst,[],[refute_9_683:[bind(X0,$fot(X_1019))]]) ).
cnf(refute_9_685,plain,
( definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98)
| s(X_1019)
| s(skolemFOFtoCNF_Y_94(X_1019)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_657,refute_9_684]) ).
cnf(refute_9_686,plain,
( definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98)
| s(X_1020)
| s(skolemFOFtoCNF_Y_94(X_1020)) ),
inference(subst,[],[refute_9_685:[bind(X_1019,$fot(X_1020))]]) ).
cnf(refute_9_687,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98)
| s(X_1020) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_1020)) )],[refute_9_686,refute_9_660]) ).
cnf(refute_9_688,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98)
| s(X_1021) ),
inference(subst,[],[refute_9_687:[bind(X_1020,$fot(X_1021))]]) ).
cnf(refute_9_689,plain,
( definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98)
| s(X_1021) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_688]) ).
cnf(refute_9_690,plain,
( definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98)
| s(X_1022) ),
inference(subst,[],[refute_9_689:[bind(X_1021,$fot(X_1022))]]) ).
cnf(refute_9_691,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( s(X_1022) )],[refute_9_690,refute_9_659]) ).
cnf(refute_9_692,plain,
( definitionFOFtoCNF_11
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_691]) ).
cnf(refute_9_693,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_98) )],[refute_9_692,refute_9_161]) ).
cnf(refute_9_694,plain,
( definitionFOFtoCNF_11
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_1024)
| r(X_1024) ),
inference(subst,[],[refute_9_693:[bind(Y,$fot(X_1024))]]) ).
cnf(refute_9_695,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| r(X_1024)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_1024) )],[refute_9_694,refute_9_658]) ).
cnf(refute_9_696,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_11
| r(X_1028)
| s(X_1027)
| s(skolemFOFtoCNF_Y_94(X_1027)) ),
inference(subst,[],[refute_9_695:[bind(X0,$fot(X_1027)),bind(X_1024,$fot(X_1028))]]) ).
cnf(refute_9_697,plain,
( definitionFOFtoCNF_11
| r(X_1028)
| s(X_1027)
| s(skolemFOFtoCNF_Y_94(X_1027)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_657,refute_9_696]) ).
cnf(refute_9_698,plain,
( definitionFOFtoCNF_11
| r(X_1030)
| s(X_1029)
| s(skolemFOFtoCNF_Y_94(X_1029)) ),
inference(subst,[],[refute_9_697:[bind(X_1027,$fot(X_1029)),bind(X_1028,$fot(X_1030))]]) ).
cnf(refute_9_699,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| r(X_1030)
| s(X_1029) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_1029)) )],[refute_9_698,refute_9_623]) ).
cnf(refute_9_700,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| r(X_1032)
| s(X_1031) ),
inference(subst,[],[refute_9_699:[bind(X_1029,$fot(X_1031)),bind(X_1030,$fot(X_1032))]]) ).
cnf(refute_9_701,plain,
( definitionFOFtoCNF_11
| r(X_1032)
| s(X_1031) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_700]) ).
cnf(refute_9_702,plain,
( definitionFOFtoCNF_11
| r(X_1034)
| s(X_1033) ),
inference(subst,[],[refute_9_701:[bind(X_1031,$fot(X_1033)),bind(X_1032,$fot(X_1034))]]) ).
cnf(refute_9_703,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| r(X_1034) ),
inference(resolve,[$cnf( s(X_1033) )],[refute_9_702,refute_9_622]) ).
cnf(refute_9_704,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_11
| r(X_1035) ),
inference(subst,[],[refute_9_703:[bind(X_1034,$fot(X_1035))]]) ).
cnf(refute_9_705,plain,
( definitionFOFtoCNF_11
| r(X_1035) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_621,refute_9_704]) ).
cnf(refute_9_706,plain,
( definitionFOFtoCNF_11
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_705:[bind(X_1035,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_707,plain,
definitionFOFtoCNF_11,
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_706,refute_9_9]) ).
cnf(refute_9_708,plain,
( ~ definitionFOFtoCNF_10
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_90) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_16]) ).
cnf(refute_9_709,plain,
( p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_90) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_708]) ).
cnf(refute_9_710,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ p(X0)
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_90) )],[refute_9_709,refute_9_15]) ).
cnf(refute_9_711,plain,
( ~ definitionFOFtoCNF_11
| ~ p(X0)
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_710]) ).
cnf(refute_9_712,plain,
( ~ p(X0)
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_711]) ).
cnf(refute_9_713,plain,
( ~ p(X_1094)
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_712:[bind(X0,$fot(X_1094))]]) ).
cnf(refute_9_714,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| ~ s(skolemFOFtoCNF_Y_94(X_1079))
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_58:[bind(Y0,$fot(skolemFOFtoCNF_Y_94(X_1079)))]]) ).
cnf(refute_9_715,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_1076)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_1076))]]) ).
cnf(refute_9_716,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ p(X_1038)
| ~ r(X) ),
inference(subst,[],[refute_9_1:[bind(X0,$fot(X_1038))]]) ).
cnf(refute_9_717,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_900)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_900))]]) ).
cnf(refute_9_718,plain,
( definitionFOFtoCNF_12
| p(X_479)
| q(skolemFOFtoCNF_Y_92(X))
| s(X_478) ),
inference(subst,[],[refute_9_24:[bind(Y,$fot(skolemFOFtoCNF_Y_92(X))),bind(Y0,$fot(X_478)),bind(Y1,$fot(X_479))]]) ).
cnf(refute_9_719,plain,
( ~ definitionFOFtoCNF_10
| ~ q(X)
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_479)
| s(X_478) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_92(X)) )],[refute_9_718,refute_9_14]) ).
cnf(refute_9_720,plain,
( ~ definitionFOFtoCNF_10
| ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_534)
| s(X_533) ),
inference(subst,[],[refute_9_719:[bind(X,$fot(skolemFOFtoCNF_X_101)),bind(X_478,$fot(X_533)),bind(X_479,$fot(X_534))]]) ).
cnf(refute_9_721,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_534)
| s(X_533) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_720]) ).
cnf(refute_9_722,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_534)
| s(X_533) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_721]) ).
cnf(refute_9_723,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_901)
| s(X_900) ),
inference(subst,[],[refute_9_722:[bind(X_533,$fot(X_900)),bind(X_534,$fot(X_901))]]) ).
cnf(refute_9_724,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_901) ),
inference(resolve,[$cnf( s(X_900) )],[refute_9_723,refute_9_717]) ).
cnf(refute_9_725,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_901) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_724]) ).
cnf(refute_9_726,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(X_1038) ),
inference(subst,[],[refute_9_725:[bind(X_901,$fot(X_1038))]]) ).
cnf(refute_9_727,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ r(X)
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( p(X_1038) )],[refute_9_726,refute_9_716]) ).
cnf(refute_9_728,plain,
( ~ definitionFOFtoCNF_11
| ~ r(X)
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_727]) ).
cnf(refute_9_729,plain,
( ~ r(X)
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_728]) ).
cnf(refute_9_730,plain,
( ~ r(skolemFOFtoCNF_Y_93(X_1055))
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(subst,[],[refute_9_729:[bind(X,$fot(skolemFOFtoCNF_Y_93(X_1055)))]]) ).
cnf(refute_9_731,plain,
( ~ definitionFOFtoCNF_14(X_1052,skolemFOFtoCNF_Y_93(X_1052))
| r(X_1052)
| r(skolemFOFtoCNF_Y_93(X_1052)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_1052)),bind(Y,$fot(skolemFOFtoCNF_Y_93(X_1052)))]]) ).
cnf(refute_9_732,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_1051)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_1051))]]) ).
cnf(refute_9_733,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_484,skolemFOFtoCNF_Y_93(X_484))
| s(X_485) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_288]) ).
cnf(refute_9_734,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_1050,skolemFOFtoCNF_Y_93(X_1050))
| s(X_1051) ),
inference(subst,[],[refute_9_733:[bind(X_484,$fot(X_1050)),bind(X_485,$fot(X_1051))]]) ).
cnf(refute_9_735,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_1050,skolemFOFtoCNF_Y_93(X_1050)) ),
inference(resolve,[$cnf( s(X_1051) )],[refute_9_734,refute_9_732]) ).
cnf(refute_9_736,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_1050,skolemFOFtoCNF_Y_93(X_1050)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_735]) ).
cnf(refute_9_737,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_1052,skolemFOFtoCNF_Y_93(X_1052)) ),
inference(subst,[],[refute_9_736:[bind(X_1050,$fot(X_1052))]]) ).
cnf(refute_9_738,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_1052)
| r(skolemFOFtoCNF_Y_93(X_1052)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_1052,skolemFOFtoCNF_Y_93(X_1052)) )],[refute_9_737,refute_9_731]) ).
cnf(refute_9_739,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_1055)
| r(skolemFOFtoCNF_Y_93(X_1055)) ),
inference(subst,[],[refute_9_738:[bind(X_1052,$fot(X_1055))]]) ).
cnf(refute_9_740,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(X_1055) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_93(X_1055)) )],[refute_9_739,refute_9_730]) ).
cnf(refute_9_741,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_740:[bind(X_1055,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_742,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_741,refute_9_9]) ).
cnf(refute_9_743,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_12
| q(skolemFOFtoCNF_X_97) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_742,refute_9_8]) ).
cnf(refute_9_744,plain,
( definitionFOFtoCNF_12
| q(skolemFOFtoCNF_X_97) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_743]) ).
cnf(refute_9_745,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_12
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_97) )],[refute_9_744,refute_9_4]) ).
cnf(refute_9_746,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_12
| q(Y) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_745]) ).
cnf(refute_9_747,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_12
| q(X_1057) ),
inference(subst,[],[refute_9_746:[bind(Y,$fot(X_1057))]]) ).
cnf(refute_9_748,plain,
( definitionFOFtoCNF_12
| q(X_1057) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_742,refute_9_747]) ).
cnf(refute_9_749,plain,
( definitionFOFtoCNF_12
| q(skolemFOFtoCNF_Y_83) ),
inference(subst,[],[refute_9_748:[bind(X_1057,$fot(skolemFOFtoCNF_Y_83))]]) ).
cnf(refute_9_750,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| definitionFOFtoCNF_12
| s(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_83) )],[refute_9_749,refute_9_107]) ).
cnf(refute_9_751,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_1072)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_1072))]]) ).
cnf(refute_9_752,plain,
( ~ definitionFOFtoCNF_11
| ~ s(skolemFOFtoCNF_Y_94(X_1070))
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_1070)))]]) ).
cnf(refute_9_753,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_1064)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_235:[bind(Y,$fot(X_1064))]]) ).
cnf(refute_9_754,plain,
( ~ definitionFOFtoCNF_11
| ~ s(X_1063)
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(X_1063))]]) ).
cnf(refute_9_755,plain,
( ~ definitionFOFtoCNF_11
| ~ s(skolemFOFtoCNF_Y_94(X_1062))
| definitionFOFtoCNF_12 ),
inference(subst,[],[refute_9_279:[bind(X,$fot(skolemFOFtoCNF_Y_94(X_1062)))]]) ).
cnf(refute_9_756,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_90)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_235:[bind(Y,$fot(skolemFOFtoCNF_X_90))]]) ).
cnf(refute_9_757,plain,
( ~ r(skolemFOFtoCNF_X_90)
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_90)
| r(X) ),
inference(subst,[],[refute_9_54:[bind(Y,$fot(skolemFOFtoCNF_X_90))]]) ).
cnf(refute_9_758,plain,
( definitionFOFtoCNF_14(X,skolemFOFtoCNF_X_90)
| p(skolemFOFtoCNF_X_91)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_90) )],[refute_9_709,refute_9_757]) ).
cnf(refute_9_759,plain,
( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_90)
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_758:[bind(X,$fot(skolemFOFtoCNF_X_98))]]) ).
cnf(refute_9_760,plain,
( ~ definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_90) )],[refute_9_759,refute_9_756]) ).
cnf(refute_9_761,plain,
( ~ definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_1060)
| s(skolemFOFtoCNF_Y_94(X_1060)) ),
inference(subst,[],[refute_9_760:[bind(X0,$fot(X_1060))]]) ).
cnf(refute_9_762,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_1060)
| s(skolemFOFtoCNF_Y_94(X_1060)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_742,refute_9_761]) ).
cnf(refute_9_763,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_1062)
| s(skolemFOFtoCNF_Y_94(X_1062)) ),
inference(subst,[],[refute_9_762:[bind(X_1060,$fot(X_1062))]]) ).
cnf(refute_9_764,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_1062) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_1062)) )],[refute_9_763,refute_9_755]) ).
cnf(refute_9_765,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_1062) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_764]) ).
cnf(refute_9_766,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98)
| s(X_1063) ),
inference(subst,[],[refute_9_765:[bind(X_1062,$fot(X_1063))]]) ).
cnf(refute_9_767,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( s(X_1063) )],[refute_9_766,refute_9_754]) ).
cnf(refute_9_768,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_767]) ).
cnf(refute_9_769,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| p(skolemFOFtoCNF_X_91)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_98) )],[refute_9_768,refute_9_161]) ).
cnf(refute_9_770,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_1064)
| p(skolemFOFtoCNF_X_91)
| r(X_1064) ),
inference(subst,[],[refute_9_769:[bind(Y,$fot(X_1064))]]) ).
cnf(refute_9_771,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_1064)
| s(X0)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,X_1064) )],[refute_9_770,refute_9_753]) ).
cnf(refute_9_772,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_1069)
| s(X_1068)
| s(skolemFOFtoCNF_Y_94(X_1068)) ),
inference(subst,[],[refute_9_771:[bind(X0,$fot(X_1068)),bind(X_1064,$fot(X_1069))]]) ).
cnf(refute_9_773,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_1069)
| s(X_1068)
| s(skolemFOFtoCNF_Y_94(X_1068)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_742,refute_9_772]) ).
cnf(refute_9_774,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_1071)
| s(X_1070)
| s(skolemFOFtoCNF_Y_94(X_1070)) ),
inference(subst,[],[refute_9_773:[bind(X_1068,$fot(X_1070)),bind(X_1069,$fot(X_1071))]]) ).
cnf(refute_9_775,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_1071)
| s(X_1070) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_1070)) )],[refute_9_774,refute_9_752]) ).
cnf(refute_9_776,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_1071)
| s(X_1070) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_775]) ).
cnf(refute_9_777,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_1073)
| s(X_1072) ),
inference(subst,[],[refute_9_776:[bind(X_1070,$fot(X_1072)),bind(X_1071,$fot(X_1073))]]) ).
cnf(refute_9_778,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_1073) ),
inference(resolve,[$cnf( s(X_1072) )],[refute_9_777,refute_9_751]) ).
cnf(refute_9_779,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(X_1073) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_778]) ).
cnf(refute_9_780,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_779:[bind(X_1073,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_781,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_780,refute_9_9]) ).
cnf(refute_9_782,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_781,refute_9_13]) ).
cnf(refute_9_783,plain,
( definitionFOFtoCNF_12
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_782,refute_9_11]) ).
cnf(refute_9_784,plain,
( definitionFOFtoCNF_12
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_783:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_785,plain,
( definitionFOFtoCNF_12
| s(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_784,refute_9_750]) ).
cnf(refute_9_786,plain,
( definitionFOFtoCNF_12
| s(X_1076) ),
inference(subst,[],[refute_9_785:[bind(Y,$fot(X_1076))]]) ).
cnf(refute_9_787,plain,
( ~ definitionFOFtoCNF_11
| definitionFOFtoCNF_12 ),
inference(resolve,[$cnf( s(X_1076) )],[refute_9_786,refute_9_715]) ).
cnf(refute_9_788,plain,
definitionFOFtoCNF_12,
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_787]) ).
cnf(refute_9_789,plain,
( ~ definitionFOFtoCNF_11
| s(skolemFOFtoCNF_X_95) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_788,refute_9_359]) ).
cnf(refute_9_790,plain,
s(skolemFOFtoCNF_X_95),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_789]) ).
cnf(refute_9_791,plain,
( definitionFOFtoCNF_13
| s(X_485)
| s(skolemFOFtoCNF_X_100)
| s(skolemFOFtoCNF_Y_94(X_485)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_95) )],[refute_9_790,refute_9_386]) ).
cnf(refute_9_792,plain,
( definitionFOFtoCNF_13
| s(X_1079)
| s(skolemFOFtoCNF_X_100)
| s(skolemFOFtoCNF_Y_94(X_1079)) ),
inference(subst,[],[refute_9_791:[bind(X_485,$fot(X_1079))]]) ).
cnf(refute_9_793,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| definitionFOFtoCNF_13
| s(X_1079)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X_1079)) )],[refute_9_792,refute_9_714]) ).
cnf(refute_9_794,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_1087)
| definitionFOFtoCNF_13
| s(X_1079)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_793:[bind(Y,$fot(X_1087))]]) ).
cnf(refute_9_795,plain,
( ~ p(X_1083)
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_712:[bind(X0,$fot(X_1083))]]) ).
cnf(refute_9_796,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_90)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) ),
inference(subst,[],[refute_9_63:[bind(Y,$fot(skolemFOFtoCNF_X_90))]]) ).
cnf(refute_9_797,plain,
( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_90)
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_758:[bind(X,$fot(skolemFOFtoCNF_X_99))]]) ).
cnf(refute_9_798,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_90) )],[refute_9_797,refute_9_796]) ).
cnf(refute_9_799,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_90)
| ~ s(Y0)
| definitionFOFtoCNF_13
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_58:[bind(Y,$fot(skolemFOFtoCNF_X_90))]]) ).
cnf(refute_9_800,plain,
( ~ s(Y0)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,skolemFOFtoCNF_X_90) )],[refute_9_797,refute_9_799]) ).
cnf(refute_9_801,plain,
( ~ s(skolemFOFtoCNF_X_95)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_800:[bind(Y0,$fot(skolemFOFtoCNF_X_95))]]) ).
cnf(refute_9_802,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_95) )],[refute_9_790,refute_9_801]) ).
cnf(refute_9_803,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_802,refute_9_798]) ).
cnf(refute_9_804,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99)
| s(skolemFOFtoCNF_Y_89) ),
inference(subst,[],[refute_9_803:[bind(Y0,$fot(skolemFOFtoCNF_Y_89))]]) ).
cnf(refute_9_805,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(Y1)
| p(skolemFOFtoCNF_X_91)
| q(Y)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_89) )],[refute_9_804,refute_9_426]) ).
cnf(refute_9_806,plain,
( definitionFOFtoCNF_13
| p(Y1)
| p(skolemFOFtoCNF_X_91)
| q(Y)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_788,refute_9_805]) ).
cnf(refute_9_807,plain,
( definitionFOFtoCNF_13
| p(X_1083)
| p(skolemFOFtoCNF_X_91)
| q(X_1082)
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_806:[bind(Y,$fot(X_1082)),bind(Y1,$fot(X_1083))]]) ).
cnf(refute_9_808,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| q(X_1082)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( p(X_1083) )],[refute_9_807,refute_9_795]) ).
cnf(refute_9_809,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| q(skolemFOFtoCNF_Y_92(X))
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_808:[bind(X_1082,$fot(skolemFOFtoCNF_Y_92(X)))]]) ).
cnf(refute_9_810,plain,
( ~ definitionFOFtoCNF_10
| ~ q(X)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_92(X)) )],[refute_9_809,refute_9_14]) ).
cnf(refute_9_811,plain,
( ~ q(X)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_810]) ).
cnf(refute_9_812,plain,
( ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(subst,[],[refute_9_811:[bind(X,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_813,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_99) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_812]) ).
cnf(refute_9_814,plain,
( definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,Y)
| p(skolemFOFtoCNF_X_91)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_99) )],[refute_9_813,refute_9_48]) ).
cnf(refute_9_815,plain,
( definitionFOFtoCNF_13
| definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_1087)
| p(skolemFOFtoCNF_X_91)
| r(X_1087) ),
inference(subst,[],[refute_9_814:[bind(Y,$fot(X_1087))]]) ).
cnf(refute_9_816,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_1087)
| s(X_1079)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_1087) )],[refute_9_815,refute_9_794]) ).
cnf(refute_9_817,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_1087)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_816:[bind(X_1079,$fot(skolemFOFtoCNF_X_100))]]) ).
cnf(refute_9_818,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_1087)
| ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| s(Y0) ),
inference(subst,[],[refute_9_63:[bind(Y,$fot(X_1087))]]) ).
cnf(refute_9_819,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_1087)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_99,X_1087) )],[refute_9_815,refute_9_818]) ).
cnf(refute_9_820,plain,
( ~ s(skolemFOFtoCNF_X_100)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_1090)
| s(X_1089) ),
inference(subst,[],[refute_9_819:[bind(Y0,$fot(X_1089)),bind(X_1087,$fot(X_1090))]]) ).
cnf(refute_9_821,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_1087)
| r(X_1090)
| s(X_1089) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_817,refute_9_820]) ).
cnf(refute_9_822,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| r(X_1092)
| s(skolemFOFtoCNF_Y_89) ),
inference(subst,[],[refute_9_821:[bind(X_1087,$fot(X_1092)),bind(X_1089,$fot(skolemFOFtoCNF_Y_89)),bind(X_1090,$fot(X_1092))]]) ).
cnf(refute_9_823,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| p(Y1)
| p(skolemFOFtoCNF_X_91)
| q(Y)
| r(X_1092) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_89) )],[refute_9_822,refute_9_426]) ).
cnf(refute_9_824,plain,
( definitionFOFtoCNF_13
| p(Y1)
| p(skolemFOFtoCNF_X_91)
| q(Y)
| r(X_1092) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_788,refute_9_823]) ).
cnf(refute_9_825,plain,
( definitionFOFtoCNF_13
| p(X_1094)
| p(skolemFOFtoCNF_X_91)
| q(X_1093)
| r(X_1095) ),
inference(subst,[],[refute_9_824:[bind(Y,$fot(X_1093)),bind(Y1,$fot(X_1094)),bind(X_1092,$fot(X_1095))]]) ).
cnf(refute_9_826,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| q(X_1093)
| r(X_1095) ),
inference(resolve,[$cnf( p(X_1094) )],[refute_9_825,refute_9_713]) ).
cnf(refute_9_827,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| q(X_1096)
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_826:[bind(X_1093,$fot(X_1096)),bind(X_1095,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_828,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| q(X_1096) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_827,refute_9_9]) ).
cnf(refute_9_829,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91)
| q(skolemFOFtoCNF_Y_92(X)) ),
inference(subst,[],[refute_9_828:[bind(X_1096,$fot(skolemFOFtoCNF_Y_92(X)))]]) ).
cnf(refute_9_830,plain,
( ~ definitionFOFtoCNF_10
| ~ q(X)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_92(X)) )],[refute_9_829,refute_9_14]) ).
cnf(refute_9_831,plain,
( ~ q(X)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_830]) ).
cnf(refute_9_832,plain,
( ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(subst,[],[refute_9_831:[bind(X,$fot(skolemFOFtoCNF_X_101))]]) ).
cnf(refute_9_833,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_91) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_832]) ).
cnf(refute_9_834,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_X_102) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_833,refute_9_13]) ).
cnf(refute_9_835,plain,
( definitionFOFtoCNF_13
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_834,refute_9_11]) ).
cnf(refute_9_836,plain,
( definitionFOFtoCNF_13
| p(X_1100) ),
inference(subst,[],[refute_9_835:[bind(Y,$fot(X_1100))]]) ).
cnf(refute_9_837,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ r(X)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( p(X_1100) )],[refute_9_836,refute_9_10]) ).
cnf(refute_9_838,plain,
( ~ definitionFOFtoCNF_11
| ~ r(X)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_837]) ).
cnf(refute_9_839,plain,
( ~ r(X)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_838]) ).
cnf(refute_9_840,plain,
( ~ r(skolemFOFtoCNF_Y_93(X_1110))
| definitionFOFtoCNF_13 ),
inference(subst,[],[refute_9_839:[bind(X,$fot(skolemFOFtoCNF_Y_93(X_1110)))]]) ).
cnf(refute_9_841,plain,
( ~ definitionFOFtoCNF_14(X_1109,skolemFOFtoCNF_Y_93(X_1109))
| r(X_1109)
| r(skolemFOFtoCNF_Y_93(X_1109)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_1109)),bind(Y,$fot(skolemFOFtoCNF_Y_93(X_1109)))]]) ).
cnf(refute_9_842,plain,
( definitionFOFtoCNF_13
| p(skolemFOFtoCNF_Y_86) ),
inference(subst,[],[refute_9_835:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_843,plain,
( ~ definitionFOFtoCNF_12
| definitionFOFtoCNF_13
| q(Y)
| s(Y0) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_842,refute_9_232]) ).
cnf(refute_9_844,plain,
( definitionFOFtoCNF_13
| q(Y)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_788,refute_9_843]) ).
cnf(refute_9_845,plain,
( definitionFOFtoCNF_13
| q(skolemFOFtoCNF_Y_92(X))
| s(X_1103) ),
inference(subst,[],[refute_9_844:[bind(Y,$fot(skolemFOFtoCNF_Y_92(X))),bind(Y0,$fot(X_1103))]]) ).
cnf(refute_9_846,plain,
( ~ definitionFOFtoCNF_10
| ~ q(X)
| definitionFOFtoCNF_13
| s(X_1103) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_92(X)) )],[refute_9_845,refute_9_14]) ).
cnf(refute_9_847,plain,
( ~ q(X)
| definitionFOFtoCNF_13
| s(X_1103) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_846]) ).
cnf(refute_9_848,plain,
( ~ q(skolemFOFtoCNF_X_101)
| definitionFOFtoCNF_13
| s(X_1105) ),
inference(subst,[],[refute_9_847:[bind(X,$fot(skolemFOFtoCNF_X_101)),bind(X_1103,$fot(X_1105))]]) ).
cnf(refute_9_849,plain,
( definitionFOFtoCNF_13
| s(X_1105) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_101) )],[refute_9_5,refute_9_848]) ).
cnf(refute_9_850,plain,
( definitionFOFtoCNF_13
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_849:[bind(X_1105,$fot(skolemFOFtoCNF_Y_94(X0)))]]) ).
cnf(refute_9_851,plain,
( ~ s(X0)
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_93(X)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X0)) )],[refute_9_850,refute_9_27]) ).
cnf(refute_9_852,plain,
( ~ s(skolemFOFtoCNF_X_95)
| definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_1107,skolemFOFtoCNF_Y_93(X_1107)) ),
inference(subst,[],[refute_9_851:[bind(X,$fot(X_1107)),bind(X0,$fot(skolemFOFtoCNF_X_95))]]) ).
cnf(refute_9_853,plain,
( definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_1107,skolemFOFtoCNF_Y_93(X_1107)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_95) )],[refute_9_790,refute_9_852]) ).
cnf(refute_9_854,plain,
( definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X_1109,skolemFOFtoCNF_Y_93(X_1109)) ),
inference(subst,[],[refute_9_853:[bind(X_1107,$fot(X_1109))]]) ).
cnf(refute_9_855,plain,
( definitionFOFtoCNF_13
| r(X_1109)
| r(skolemFOFtoCNF_Y_93(X_1109)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_1109,skolemFOFtoCNF_Y_93(X_1109)) )],[refute_9_854,refute_9_841]) ).
cnf(refute_9_856,plain,
( definitionFOFtoCNF_13
| r(X_1110)
| r(skolemFOFtoCNF_Y_93(X_1110)) ),
inference(subst,[],[refute_9_855:[bind(X_1109,$fot(X_1110))]]) ).
cnf(refute_9_857,plain,
( definitionFOFtoCNF_13
| r(X_1110) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_93(X_1110)) )],[refute_9_856,refute_9_840]) ).
cnf(refute_9_858,plain,
( definitionFOFtoCNF_13
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_857:[bind(X_1110,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_859,plain,
definitionFOFtoCNF_13,
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_858,refute_9_9]) ).
cnf(refute_9_860,plain,
( ~ definitionFOFtoCNF_10
| q(skolemFOFtoCNF_X_97) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_859,refute_9_8]) ).
cnf(refute_9_861,plain,
q(skolemFOFtoCNF_X_97),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_860]) ).
cnf(refute_9_862,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_13
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_97) )],[refute_9_861,refute_9_4]) ).
cnf(refute_9_863,plain,
( ~ definitionFOFtoCNF_13
| q(Y) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_862]) ).
cnf(refute_9_864,plain,
q(Y),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_859,refute_9_863]) ).
cnf(refute_9_865,plain,
q(skolemFOFtoCNF_Y_90),
inference(subst,[],[refute_9_864:[bind(Y,$fot(skolemFOFtoCNF_Y_90))]]) ).
cnf(refute_9_866,plain,
( ~ definitionFOFtoCNF_12
| p(Y1)
| s(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_90) )],[refute_9_865,refute_9_3]) ).
cnf(refute_9_867,plain,
( p(Y1)
| s(Y) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_788,refute_9_866]) ).
cnf(refute_9_868,plain,
( p(X_1114)
| s(X_1113) ),
inference(subst,[],[refute_9_867:[bind(Y,$fot(X_1113)),bind(Y1,$fot(X_1114))]]) ).
cnf(refute_9_869,plain,
( ~ definitionFOFtoCNF_10
| ~ definitionFOFtoCNF_11
| ~ r(X)
| s(X_1113) ),
inference(resolve,[$cnf( p(X_1114) )],[refute_9_868,refute_9_2]) ).
cnf(refute_9_870,plain,
( ~ definitionFOFtoCNF_11
| ~ r(X)
| s(X_1113) ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_9_500,refute_9_869]) ).
cnf(refute_9_871,plain,
( ~ r(X)
| s(X_1113) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_9_707,refute_9_870]) ).
cnf(refute_9_872,plain,
( ~ r(X_1130)
| s(X_1113) ),
inference(subst,[],[refute_9_871:[bind(X,$fot(X_1130))]]) ).
cnf(refute_9_873,plain,
( ~ r(skolemFOFtoCNF_Y_95(X_1128))
| s(X_1113) ),
inference(subst,[],[refute_9_871:[bind(X,$fot(skolemFOFtoCNF_Y_95(X_1128)))]]) ).
cnf(refute_9_874,plain,
( ~ definitionFOFtoCNF_14(X_1123,skolemFOFtoCNF_Y_95(X_1123))
| r(X_1123)
| r(skolemFOFtoCNF_Y_95(X_1123)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_1123)),bind(Y,$fot(skolemFOFtoCNF_Y_95(X_1123)))]]) ).
cnf(refute_9_875,plain,
( ~ r(X_1122)
| s(X_1113) ),
inference(subst,[],[refute_9_871:[bind(X,$fot(X_1122))]]) ).
cnf(refute_9_876,plain,
( ~ r(skolemFOFtoCNF_Y_95(X_1121))
| s(X_1113) ),
inference(subst,[],[refute_9_871:[bind(X,$fot(skolemFOFtoCNF_Y_95(X_1121)))]]) ).
cnf(refute_9_877,plain,
( ~ definitionFOFtoCNF_14(X_1116,skolemFOFtoCNF_Y_95(X_1116))
| r(X_1116)
| r(skolemFOFtoCNF_Y_95(X_1116)) ),
inference(subst,[],[refute_9_20:[bind(X,$fot(X_1116)),bind(Y,$fot(skolemFOFtoCNF_Y_95(X_1116)))]]) ).
cnf(refute_9_878,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_95) )],[refute_9_790,refute_9_433]) ).
cnf(refute_9_879,plain,
( definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_859,refute_9_878]) ).
cnf(refute_9_880,plain,
( definitionFOFtoCNF_14(X_1116,skolemFOFtoCNF_Y_95(X_1116))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_879:[bind(X,$fot(X_1116))]]) ).
cnf(refute_9_881,plain,
( r(X_1116)
| r(skolemFOFtoCNF_Y_95(X_1116))
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_1116,skolemFOFtoCNF_Y_95(X_1116)) )],[refute_9_880,refute_9_877]) ).
cnf(refute_9_882,plain,
( r(X_1121)
| r(skolemFOFtoCNF_Y_95(X_1121))
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_881:[bind(X_1116,$fot(X_1121))]]) ).
cnf(refute_9_883,plain,
( r(X_1121)
| s(X_1113)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_95(X_1121)) )],[refute_9_882,refute_9_876]) ).
cnf(refute_9_884,plain,
( r(X_1122)
| s(skolemFOFtoCNF_X_100) ),
inference(subst,[],[refute_9_883:[bind(X_1113,$fot(skolemFOFtoCNF_X_100)),bind(X_1121,$fot(X_1122))]]) ).
cnf(refute_9_885,plain,
( s(X_1113)
| s(skolemFOFtoCNF_X_100) ),
inference(resolve,[$cnf( r(X_1122) )],[refute_9_884,refute_9_875]) ).
cnf(refute_9_886,plain,
s(skolemFOFtoCNF_X_100),
inference(subst,[],[refute_9_885:[bind(X_1113,$fot(skolemFOFtoCNF_X_100))]]) ).
cnf(refute_9_887,plain,
( ~ definitionFOFtoCNF_13
| definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_100) )],[refute_9_886,refute_9_135]) ).
cnf(refute_9_888,plain,
( definitionFOFtoCNF_14(X,skolemFOFtoCNF_Y_95(X))
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_859,refute_9_887]) ).
cnf(refute_9_889,plain,
( definitionFOFtoCNF_14(X_1123,skolemFOFtoCNF_Y_95(X_1123))
| s(X_1124) ),
inference(subst,[],[refute_9_888:[bind(X,$fot(X_1123)),bind(Y0,$fot(X_1124))]]) ).
cnf(refute_9_890,plain,
( r(X_1123)
| r(skolemFOFtoCNF_Y_95(X_1123))
| s(X_1124) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(X_1123,skolemFOFtoCNF_Y_95(X_1123)) )],[refute_9_889,refute_9_874]) ).
cnf(refute_9_891,plain,
( r(X_1128)
| r(skolemFOFtoCNF_Y_95(X_1128))
| s(X_1129) ),
inference(subst,[],[refute_9_890:[bind(X_1123,$fot(X_1128)),bind(X_1124,$fot(X_1129))]]) ).
cnf(refute_9_892,plain,
( r(X_1128)
| s(X_1113)
| s(X_1129) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_95(X_1128)) )],[refute_9_891,refute_9_873]) ).
cnf(refute_9_893,plain,
( r(X_1130)
| s(X_1131) ),
inference(subst,[],[refute_9_892:[bind(X_1113,$fot(X_1131)),bind(X_1128,$fot(X_1130)),bind(X_1129,$fot(X_1131))]]) ).
cnf(refute_9_894,plain,
( s(X_1113)
| s(X_1131) ),
inference(resolve,[$cnf( r(X_1130) )],[refute_9_893,refute_9_872]) ).
cnf(refute_9_895,plain,
s(skolemFOFtoCNF_Y_85),
inference(subst,[],[refute_9_894:[bind(X_1113,$fot(skolemFOFtoCNF_Y_85)),bind(X_1131,$fot(skolemFOFtoCNF_Y_85))]]) ).
cnf(refute_9_896,plain,
( ~ definitionFOFtoCNF_12
| ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_84) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_85) )],[refute_9_895,refute_9_0]) ).
cnf(refute_9_897,plain,
( ~ p(skolemFOFtoCNF_Y_86)
| ~ q(skolemFOFtoCNF_Y_84) ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_9_788,refute_9_896]) ).
cnf(refute_9_898,plain,
q(skolemFOFtoCNF_Y_84),
inference(subst,[],[refute_9_864:[bind(Y,$fot(skolemFOFtoCNF_Y_84))]]) ).
cnf(refute_9_899,plain,
~ p(skolemFOFtoCNF_Y_86),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_84) )],[refute_9_898,refute_9_897]) ).
cnf(refute_9_900,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_90)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_165:[bind(Y,$fot(skolemFOFtoCNF_X_90))]]) ).
cnf(refute_9_901,plain,
( ~ definitionFOFtoCNF_13
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_94(X0))
| p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,skolemFOFtoCNF_X_90) )],[refute_9_759,refute_9_900]) ).
cnf(refute_9_902,plain,
( r(X_1130)
| s(skolemFOFtoCNF_Y_94(X0)) ),
inference(subst,[],[refute_9_892:[bind(X_1113,$fot(skolemFOFtoCNF_Y_94(X0))),bind(X_1128,$fot(X_1130)),bind(X_1129,$fot(skolemFOFtoCNF_Y_94(X0)))]]) ).
cnf(refute_9_903,plain,
( ~ definitionFOFtoCNF_13
| ~ s(X0)
| p(skolemFOFtoCNF_X_91)
| r(X_1130)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X0)) )],[refute_9_902,refute_9_901]) ).
cnf(refute_9_904,plain,
( ~ s(X0)
| p(skolemFOFtoCNF_X_91)
| r(X_1130)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_859,refute_9_903]) ).
cnf(refute_9_905,plain,
s(X0),
inference(subst,[],[refute_9_894:[bind(X_1113,$fot(X0)),bind(X_1131,$fot(X0))]]) ).
cnf(refute_9_906,plain,
( p(skolemFOFtoCNF_X_91)
| r(X_1130)
| r(skolemFOFtoCNF_X_98) ),
inference(resolve,[$cnf( s(X0) )],[refute_9_905,refute_9_904]) ).
cnf(refute_9_907,plain,
( p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_X_98) ),
inference(subst,[],[refute_9_906:[bind(X_1130,$fot(skolemFOFtoCNF_X_98))]]) ).
cnf(refute_9_908,plain,
( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| p(skolemFOFtoCNF_X_91)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_98) )],[refute_9_907,refute_9_161]) ).
cnf(refute_9_909,plain,
s(skolemFOFtoCNF_Y_94(X0)),
inference(subst,[],[refute_9_894:[bind(X_1113,$fot(skolemFOFtoCNF_Y_94(X0))),bind(X_1131,$fot(skolemFOFtoCNF_Y_94(X0)))]]) ).
cnf(refute_9_910,plain,
( ~ definitionFOFtoCNF_13
| ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| ~ s(X0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_94(X0)) )],[refute_9_909,refute_9_165]) ).
cnf(refute_9_911,plain,
( ~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y)
| ~ s(X0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_9_859,refute_9_910]) ).
cnf(refute_9_912,plain,
~ definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y),
inference(resolve,[$cnf( s(X0) )],[refute_9_905,refute_9_911]) ).
cnf(refute_9_913,plain,
( p(skolemFOFtoCNF_X_91)
| r(Y) ),
inference(resolve,[$cnf( definitionFOFtoCNF_14(skolemFOFtoCNF_X_98,Y) )],[refute_9_908,refute_9_912]) ).
cnf(refute_9_914,plain,
( p(skolemFOFtoCNF_X_91)
| r(skolemFOFtoCNF_Y_96) ),
inference(subst,[],[refute_9_913:[bind(Y,$fot(skolemFOFtoCNF_Y_96))]]) ).
cnf(refute_9_915,plain,
p(skolemFOFtoCNF_X_91),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_96) )],[refute_9_914,refute_9_9]) ).
cnf(refute_9_916,plain,
p(skolemFOFtoCNF_X_102),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_91) )],[refute_9_915,refute_9_13]) ).
cnf(refute_9_917,plain,
p(Y),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_102) )],[refute_9_916,refute_9_11]) ).
cnf(refute_9_918,plain,
p(skolemFOFtoCNF_Y_86),
inference(subst,[],[refute_9_917:[bind(Y,$fot(skolemFOFtoCNF_Y_86))]]) ).
cnf(refute_9_919,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_86) )],[refute_9_918,refute_9_899]) ).
fof(negate_10_0,plain,
~ ( ( ? [X] :
! [Y] :
( p(X)
<=> p(Y) )
& ( ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
<=> ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) ) )
& ! [Y] : r(Y) )
=> ? [X] : q(X) ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( ~ definitionFOFtoCNF_15
<=> ( ~ definitionFOFtoCNF_16
<=> ( ? [X] : p(X)
<=> ! [X] : ~ r(X) ) ) ),
inference(canonicalize,[],[definition_8]) ).
fof(normalize_10_1,plain,
! [X,X0] :
( ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ p(X0)
| ~ r(X) )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| p(skolemFOFtoCNF_X_107)
| r(skolemFOFtoCNF_X_106) )
& ( ~ definitionFOFtoCNF_15
| ~ p(X0)
| definitionFOFtoCNF_16
| r(skolemFOFtoCNF_X_108) )
& ( ~ definitionFOFtoCNF_15
| ~ r(X)
| definitionFOFtoCNF_16
| p(skolemFOFtoCNF_X_107) )
& ( ~ definitionFOFtoCNF_16
| ~ p(X0)
| definitionFOFtoCNF_15
| r(skolemFOFtoCNF_X_103) )
& ( ~ definitionFOFtoCNF_16
| ~ r(X)
| definitionFOFtoCNF_15
| p(skolemFOFtoCNF_X_105) )
& ( ~ p(X0)
| ~ r(X)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| p(skolemFOFtoCNF_X_105)
| r(skolemFOFtoCNF_X_104) ) ),
inference(clausify,[],[normalize_10_0]) ).
fof(normalize_10_2,plain,
! [X,X0] :
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ p(X0)
| ~ r(X) ),
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_3,plain,
( ( ? [X] : p(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ) ) ) ) ) )
& ? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) )
& ! [X] : ~ q(X)
& ! [Y] : r(Y) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_4,plain,
! [Y] : r(Y),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_5,plain,
! [Y] : r(Y),
inference(specialize,[],[normalize_10_4]) ).
fof(normalize_10_6,plain,
( ~ definitionFOFtoCNF_15
<=> ( ? [X] : p(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ? [Y] : ~ s(Y) ) ) ) ) ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_10_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ) ),
inference(simplify,[],[normalize_10_6,normalize_10_0]) ).
fof(normalize_10_8,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
<=> ? [X] : s(X) ) ),
inference(canonicalize,[],[definition_9]) ).
fof(normalize_10_9,plain,
( ~ definitionFOFtoCNF_17
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ),
inference(simplify,[],[normalize_10_7,normalize_10_8]) ).
fof(normalize_10_10,plain,
! [Y,Y0,Y1] :
( ( ~ definitionFOFtoCNF_17
| ~ p(skolemFOFtoCNF_Y_101)
| ~ q(skolemFOFtoCNF_Y_99)
| ~ s(skolemFOFtoCNF_Y_100) )
& ( ~ definitionFOFtoCNF_17
| ~ p(skolemFOFtoCNF_Y_101)
| q(Y)
| s(Y0) )
& ( ~ definitionFOFtoCNF_17
| ~ q(skolemFOFtoCNF_Y_105)
| p(Y1)
| s(Y) )
& ( ~ definitionFOFtoCNF_17
| ~ s(skolemFOFtoCNF_Y_104)
| p(Y1)
| q(Y) )
& ( ~ p(skolemFOFtoCNF_Y_101)
| ~ q(skolemFOFtoCNF_Y_98)
| definitionFOFtoCNF_17
| s(Y) )
& ( ~ p(skolemFOFtoCNF_Y_101)
| ~ s(skolemFOFtoCNF_Y_97)
| definitionFOFtoCNF_17
| q(Y) )
& ( ~ q(skolemFOFtoCNF_Y_102)
| ~ s(skolemFOFtoCNF_Y_103)
| definitionFOFtoCNF_17
| p(Y1) )
& ( definitionFOFtoCNF_17
| p(Y1)
| q(Y)
| s(Y0) ) ),
inference(clausify,[],[normalize_10_9]) ).
fof(normalize_10_11,plain,
! [Y,Y1] :
( ~ definitionFOFtoCNF_17
| ~ s(skolemFOFtoCNF_Y_104)
| p(Y1)
| q(Y) ),
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_12,plain,
! [X] : ~ q(X),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_13,plain,
! [X] : ~ q(X),
inference(specialize,[],[normalize_10_12]) ).
fof(normalize_10_14,plain,
( ? [X] : p(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : s(Y) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_15,plain,
( ~ definitionFOFtoCNF_15
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ! [X] :
? [Y] :
( ~ s(X)
<=> s(Y) ) ) ) ),
inference(simplify,[],[normalize_10_14,normalize_10_0,normalize_10_8,normalize_10_9]) ).
fof(normalize_10_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( ~ definitionFOFtoCNF_18
<=> ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) ) ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_10_17,plain,
( ~ definitionFOFtoCNF_18
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ! [X] :
? [Y] :
( ~ s(X)
<=> s(Y) ) ) ),
inference(simplify,[],[normalize_10_15,normalize_10_16]) ).
fof(normalize_10_18,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_19(X,Y)
<=> ( ~ r(X)
<=> ~ r(Y) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_10_19,plain,
( ~ definitionFOFtoCNF_18
<=> ( ? [X] :
! [Y] : ~ definitionFOFtoCNF_19(X,Y)
<=> ! [X] :
? [Y] :
( ~ s(X)
<=> s(Y) ) ) ),
inference(simplify,[],[normalize_10_17,normalize_10_18]) ).
fof(normalize_10_20,plain,
! [X,X0,Y,Y0] :
( ( ~ definitionFOFtoCNF_18
| ~ definitionFOFtoCNF_19(skolemFOFtoCNF_X_116,Y)
| ~ s(X)
| ~ s(skolemFOFtoCNF_Y_111(X)) )
& ( ~ definitionFOFtoCNF_18
| ~ definitionFOFtoCNF_19(skolemFOFtoCNF_X_116,Y)
| s(X)
| s(skolemFOFtoCNF_Y_111(X)) )
& ( ~ definitionFOFtoCNF_18
| ~ s(Y)
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_110(X))
| s(skolemFOFtoCNF_X_115) )
& ( ~ definitionFOFtoCNF_18
| ~ s(skolemFOFtoCNF_X_115)
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_110(X))
| s(Y) )
& ( ~ definitionFOFtoCNF_19(skolemFOFtoCNF_X_113,Y)
| ~ s(Y0)
| definitionFOFtoCNF_18
| s(skolemFOFtoCNF_X_114) )
& ( ~ definitionFOFtoCNF_19(skolemFOFtoCNF_X_113,Y)
| ~ s(skolemFOFtoCNF_X_114)
| definitionFOFtoCNF_18
| s(Y0) )
& ( ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_109(X0))
| definitionFOFtoCNF_18
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_108(X)) )
& ( definitionFOFtoCNF_18
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_108(X))
| s(X0)
| s(skolemFOFtoCNF_Y_109(X0)) ) ),
inference(clausify,[],[normalize_10_19]) ).
fof(normalize_10_21,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_18
| ~ s(skolemFOFtoCNF_X_115)
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_110(X))
| s(Y) ),
inference(conjunct,[],[normalize_10_20]) ).
fof(normalize_10_22,plain,
! [X,Y] :
( ( ~ definitionFOFtoCNF_19(X,Y)
| ~ r(X)
| ~ r(Y) )
& ( ~ definitionFOFtoCNF_19(X,Y)
| r(X)
| r(Y) )
& ( ~ r(X)
| definitionFOFtoCNF_19(X,Y)
| r(Y) )
& ( ~ r(Y)
| definitionFOFtoCNF_19(X,Y)
| r(X) ) ),
inference(clausify,[],[normalize_10_18]) ).
fof(normalize_10_23,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_19(X,Y)
| ~ r(X)
| ~ r(Y) ),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_24,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_18
| ~ s(Y)
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_110(X))
| s(skolemFOFtoCNF_X_115) ),
inference(conjunct,[],[normalize_10_20]) ).
fof(normalize_10_25,plain,
! [X] :
( ( ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_17
| s(skolemFOFtoCNF_X_110) )
& ( ~ definitionFOFtoCNF_16
| ~ s(X)
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_17
| ~ s(X)
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(skolemFOFtoCNF_X_109) ) ),
inference(clausify,[],[normalize_10_8]) ).
fof(normalize_10_26,plain,
( ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_17
| s(skolemFOFtoCNF_X_110) ),
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_27,plain,
! [X] :
( ~ definitionFOFtoCNF_16
| ~ s(X)
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_28,plain,
! [Y,Y0,Y1] :
( definitionFOFtoCNF_17
| p(Y1)
| q(Y)
| s(Y0) ),
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_29,plain,
? [X] :
! [Y] :
( ~ p(X)
<=> ~ p(Y) ),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_30,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_117) ),
inference(skolemize,[],[normalize_10_29]) ).
fof(normalize_10_31,plain,
! [Y] :
( ~ p(Y)
<=> ~ p(skolemFOFtoCNF_X_117) ),
inference(specialize,[],[normalize_10_30]) ).
fof(normalize_10_32,plain,
! [Y] :
( ( ~ p(Y)
| p(skolemFOFtoCNF_X_117) )
& ( ~ p(skolemFOFtoCNF_X_117)
| p(Y) ) ),
inference(clausify,[],[normalize_10_31]) ).
fof(normalize_10_33,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_X_117)
| p(Y) ),
inference(conjunct,[],[normalize_10_32]) ).
fof(normalize_10_34,plain,
! [Y] :
( ~ p(Y)
| p(skolemFOFtoCNF_X_117) ),
inference(conjunct,[],[normalize_10_32]) ).
fof(normalize_10_35,plain,
! [X] :
( ~ definitionFOFtoCNF_15
| ~ r(X)
| definitionFOFtoCNF_16
| p(skolemFOFtoCNF_X_107) ),
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_36,plain,
! [X,Y] :
( ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_18
| ~ q(Y)
| q(skolemFOFtoCNF_X_112) )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_18
| ~ q(skolemFOFtoCNF_X_112)
| q(Y) )
& ( ~ definitionFOFtoCNF_15
| ~ q(X)
| ~ q(skolemFOFtoCNF_Y_106(X))
| definitionFOFtoCNF_18 )
& ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_18
| q(X)
| q(skolemFOFtoCNF_Y_106(X)) )
& ( ~ definitionFOFtoCNF_18
| ~ q(X)
| ~ q(skolemFOFtoCNF_Y_107(X))
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_15
| q(X)
| q(skolemFOFtoCNF_Y_107(X)) )
& ( ~ q(Y)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_18
| q(skolemFOFtoCNF_X_111) )
& ( ~ q(skolemFOFtoCNF_X_111)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_18
| q(Y) ) ),
inference(clausify,[],[normalize_10_16]) ).
fof(normalize_10_37,plain,
! [X] :
( ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_15
| q(X)
| q(skolemFOFtoCNF_Y_107(X)) ),
inference(conjunct,[],[normalize_10_36]) ).
fof(normalize_10_38,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_17
| ~ p(skolemFOFtoCNF_Y_101)
| q(Y)
| s(Y0) ),
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_39,plain,
! [X] :
( ~ definitionFOFtoCNF_16
| ~ r(X)
| definitionFOFtoCNF_15
| p(skolemFOFtoCNF_X_105) ),
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_40,plain,
( definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(skolemFOFtoCNF_X_109) ),
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_41,plain,
! [X,X0] :
( ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_109(X0))
| definitionFOFtoCNF_18
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_108(X)) ),
inference(conjunct,[],[normalize_10_20]) ).
fof(normalize_10_42,plain,
! [X,X0] :
( ~ p(X0)
| ~ r(X)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_43,plain,
! [X] :
( ~ definitionFOFtoCNF_17
| ~ s(X)
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_44,plain,
! [X,X0] :
( definitionFOFtoCNF_18
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_108(X))
| s(X0)
| s(skolemFOFtoCNF_Y_109(X0)) ),
inference(conjunct,[],[normalize_10_20]) ).
fof(normalize_10_45,plain,
! [Y] :
( ~ p(skolemFOFtoCNF_Y_101)
| ~ s(skolemFOFtoCNF_Y_97)
| definitionFOFtoCNF_17
| q(Y) ),
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_46,plain,
! [X] :
( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_18
| q(X)
| q(skolemFOFtoCNF_Y_106(X)) ),
inference(conjunct,[],[normalize_10_36]) ).
cnf(refute_10_0,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ p(X0)
| ~ r(X) ),
inference(canonicalize,[],[normalize_10_2]) ).
cnf(refute_10_1,plain,
r(Y),
inference(canonicalize,[],[normalize_10_5]) ).
cnf(refute_10_2,plain,
r(X),
inference(subst,[],[refute_10_1:[bind(Y,$fot(X))]]) ).
cnf(refute_10_3,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ p(X0) ),
inference(resolve,[$cnf( r(X) )],[refute_10_2,refute_10_0]) ).
cnf(refute_10_4,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ p(X_1173) ),
inference(subst,[],[refute_10_3:[bind(X0,$fot(X_1173))]]) ).
cnf(refute_10_5,plain,
( ~ definitionFOFtoCNF_17
| ~ s(skolemFOFtoCNF_Y_104)
| p(Y1)
| q(Y) ),
inference(canonicalize,[],[normalize_10_11]) ).
cnf(refute_10_6,plain,
~ q(X),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_7,plain,
~ q(Y),
inference(subst,[],[refute_10_6:[bind(X,$fot(Y))]]) ).
cnf(refute_10_8,plain,
( ~ definitionFOFtoCNF_17
| ~ s(skolemFOFtoCNF_Y_104)
| p(Y1) ),
inference(resolve,[$cnf( q(Y) )],[refute_10_5,refute_10_7]) ).
cnf(refute_10_9,plain,
( ~ definitionFOFtoCNF_18
| ~ s(skolemFOFtoCNF_X_115)
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_110(X))
| s(Y) ),
inference(canonicalize,[],[normalize_10_21]) ).
cnf(refute_10_10,plain,
( ~ definitionFOFtoCNF_19(X,Y)
| ~ r(X)
| ~ r(Y) ),
inference(canonicalize,[],[normalize_10_23]) ).
cnf(refute_10_11,plain,
( ~ definitionFOFtoCNF_19(X,Y)
| ~ r(Y) ),
inference(resolve,[$cnf( r(X) )],[refute_10_2,refute_10_10]) ).
cnf(refute_10_12,plain,
~ definitionFOFtoCNF_19(X,Y),
inference(resolve,[$cnf( r(Y) )],[refute_10_1,refute_10_11]) ).
cnf(refute_10_13,plain,
~ definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_110(X)),
inference(subst,[],[refute_10_12:[bind(Y,$fot(skolemFOFtoCNF_Y_110(X)))]]) ).
cnf(refute_10_14,plain,
( ~ definitionFOFtoCNF_18
| ~ s(skolemFOFtoCNF_X_115)
| s(Y) ),
inference(resolve,[$cnf( definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_110(X)) )],[refute_10_9,refute_10_13]) ).
cnf(refute_10_15,plain,
( ~ definitionFOFtoCNF_18
| ~ s(Y)
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_110(X))
| s(skolemFOFtoCNF_X_115) ),
inference(canonicalize,[],[normalize_10_24]) ).
cnf(refute_10_16,plain,
( ~ definitionFOFtoCNF_18
| ~ s(Y)
| s(skolemFOFtoCNF_X_115) ),
inference(resolve,[$cnf( definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_110(X)) )],[refute_10_15,refute_10_13]) ).
cnf(refute_10_17,plain,
( ~ definitionFOFtoCNF_18
| ~ s(skolemFOFtoCNF_X_110)
| s(skolemFOFtoCNF_X_115) ),
inference(subst,[],[refute_10_16:[bind(Y,$fot(skolemFOFtoCNF_X_110))]]) ).
cnf(refute_10_18,plain,
( ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_17
| s(skolemFOFtoCNF_X_110) ),
inference(canonicalize,[],[normalize_10_26]) ).
cnf(refute_10_19,plain,
( ~ definitionFOFtoCNF_16
| ~ s(X)
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_10_27]) ).
cnf(refute_10_20,plain,
( ~ definitionFOFtoCNF_16
| ~ s(X_1171)
| definitionFOFtoCNF_17 ),
inference(subst,[],[refute_10_19:[bind(X,$fot(X_1171))]]) ).
cnf(refute_10_21,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ p(X_1153) ),
inference(subst,[],[refute_10_3:[bind(X0,$fot(X_1153))]]) ).
cnf(refute_10_22,plain,
( definitionFOFtoCNF_17
| p(Y1)
| q(Y)
| s(Y0) ),
inference(canonicalize,[],[normalize_10_28]) ).
cnf(refute_10_23,plain,
( definitionFOFtoCNF_17
| p(Y1)
| s(Y0) ),
inference(resolve,[$cnf( q(Y) )],[refute_10_22,refute_10_7]) ).
cnf(refute_10_24,plain,
( definitionFOFtoCNF_17
| p(X_1153)
| s(X_1152) ),
inference(subst,[],[refute_10_23:[bind(Y0,$fot(X_1152)),bind(Y1,$fot(X_1153))]]) ).
cnf(refute_10_25,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(X_1152) ),
inference(resolve,[$cnf( p(X_1153) )],[refute_10_24,refute_10_21]) ).
cnf(refute_10_26,plain,
( ~ p(skolemFOFtoCNF_X_117)
| p(Y) ),
inference(canonicalize,[],[normalize_10_33]) ).
cnf(refute_10_27,plain,
( ~ p(Y)
| p(skolemFOFtoCNF_X_117) ),
inference(canonicalize,[],[normalize_10_34]) ).
cnf(refute_10_28,plain,
( ~ p(skolemFOFtoCNF_X_107)
| p(skolemFOFtoCNF_X_117) ),
inference(subst,[],[refute_10_27:[bind(Y,$fot(skolemFOFtoCNF_X_107))]]) ).
cnf(refute_10_29,plain,
( ~ definitionFOFtoCNF_15
| ~ r(X)
| definitionFOFtoCNF_16
| p(skolemFOFtoCNF_X_107) ),
inference(canonicalize,[],[normalize_10_35]) ).
cnf(refute_10_30,plain,
( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| p(skolemFOFtoCNF_X_107) ),
inference(resolve,[$cnf( r(X) )],[refute_10_2,refute_10_29]) ).
cnf(refute_10_31,plain,
( ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_15
| q(X)
| q(skolemFOFtoCNF_Y_107(X)) ),
inference(canonicalize,[],[normalize_10_37]) ).
cnf(refute_10_32,plain,
( ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_15
| q(skolemFOFtoCNF_Y_107(X)) ),
inference(resolve,[$cnf( q(X) )],[refute_10_31,refute_10_6]) ).
cnf(refute_10_33,plain,
~ q(skolemFOFtoCNF_Y_107(X)),
inference(subst,[],[refute_10_6:[bind(X,$fot(skolemFOFtoCNF_Y_107(X)))]]) ).
cnf(refute_10_34,plain,
( ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_107(X)) )],[refute_10_32,refute_10_33]) ).
cnf(refute_10_35,plain,
( ~ definitionFOFtoCNF_17
| ~ p(skolemFOFtoCNF_Y_101)
| q(Y)
| s(Y0) ),
inference(canonicalize,[],[normalize_10_38]) ).
cnf(refute_10_36,plain,
( ~ definitionFOFtoCNF_17
| ~ p(skolemFOFtoCNF_Y_101)
| s(Y0) ),
inference(resolve,[$cnf( q(Y) )],[refute_10_35,refute_10_7]) ).
cnf(refute_10_37,plain,
( ~ p(skolemFOFtoCNF_X_105)
| p(skolemFOFtoCNF_X_117) ),
inference(subst,[],[refute_10_27:[bind(Y,$fot(skolemFOFtoCNF_X_105))]]) ).
cnf(refute_10_38,plain,
( ~ definitionFOFtoCNF_16
| ~ r(X)
| definitionFOFtoCNF_15
| p(skolemFOFtoCNF_X_105) ),
inference(canonicalize,[],[normalize_10_39]) ).
cnf(refute_10_39,plain,
( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_15
| p(skolemFOFtoCNF_X_105) ),
inference(resolve,[$cnf( r(X) )],[refute_10_2,refute_10_38]) ).
cnf(refute_10_40,plain,
( definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(skolemFOFtoCNF_X_109) ),
inference(canonicalize,[],[normalize_10_40]) ).
cnf(refute_10_41,plain,
( ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_109(X0))
| definitionFOFtoCNF_18
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_108(X)) ),
inference(canonicalize,[],[normalize_10_41]) ).
cnf(refute_10_42,plain,
~ definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_108(X)),
inference(subst,[],[refute_10_12:[bind(Y,$fot(skolemFOFtoCNF_Y_108(X)))]]) ).
cnf(refute_10_43,plain,
( ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_109(X0))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_108(X)) )],[refute_10_41,refute_10_42]) ).
cnf(refute_10_44,plain,
( ~ p(X0)
| ~ r(X)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_10_42]) ).
cnf(refute_10_45,plain,
( ~ p(X0)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( r(X) )],[refute_10_2,refute_10_44]) ).
cnf(refute_10_46,plain,
( ~ p(X_1153)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_16 ),
inference(subst,[],[refute_10_45:[bind(X0,$fot(X_1153))]]) ).
cnf(refute_10_47,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(X_1152) ),
inference(resolve,[$cnf( p(X_1153) )],[refute_10_24,refute_10_46]) ).
cnf(refute_10_48,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(skolemFOFtoCNF_Y_109(X0)) ),
inference(subst,[],[refute_10_47:[bind(X_1152,$fot(skolemFOFtoCNF_Y_109(X0)))]]) ).
cnf(refute_10_49,plain,
( ~ s(X0)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_109(X0)) )],[refute_10_48,refute_10_43]) ).
cnf(refute_10_50,plain,
( ~ s(skolemFOFtoCNF_X_109)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| definitionFOFtoCNF_18 ),
inference(subst,[],[refute_10_49:[bind(X0,$fot(skolemFOFtoCNF_X_109))]]) ).
cnf(refute_10_51,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_109) )],[refute_10_40,refute_10_50]) ).
cnf(refute_10_52,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_10_51,refute_10_34]) ).
cnf(refute_10_53,plain,
( ~ definitionFOFtoCNF_17
| ~ s(X)
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_10_43]) ).
cnf(refute_10_54,plain,
( ~ definitionFOFtoCNF_17
| ~ s(X_1161)
| definitionFOFtoCNF_16 ),
inference(subst,[],[refute_10_53:[bind(X,$fot(X_1161))]]) ).
cnf(refute_10_55,plain,
( ~ definitionFOFtoCNF_17
| ~ s(skolemFOFtoCNF_Y_109(X_1151))
| definitionFOFtoCNF_16 ),
inference(subst,[],[refute_10_53:[bind(X,$fot(skolemFOFtoCNF_Y_109(X_1151)))]]) ).
cnf(refute_10_56,plain,
( definitionFOFtoCNF_18
| definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_108(X))
| s(X0)
| s(skolemFOFtoCNF_Y_109(X0)) ),
inference(canonicalize,[],[normalize_10_44]) ).
cnf(refute_10_57,plain,
( definitionFOFtoCNF_18
| s(X0)
| s(skolemFOFtoCNF_Y_109(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_19(X,skolemFOFtoCNF_Y_108(X)) )],[refute_10_56,refute_10_42]) ).
cnf(refute_10_58,plain,
( definitionFOFtoCNF_18
| s(X_1151)
| s(skolemFOFtoCNF_Y_109(X_1151)) ),
inference(subst,[],[refute_10_57:[bind(X0,$fot(X_1151))]]) ).
cnf(refute_10_59,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16
| definitionFOFtoCNF_18
| s(X_1151) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_109(X_1151)) )],[refute_10_58,refute_10_55]) ).
cnf(refute_10_60,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_18
| s(X_1151) ),
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_10_52,refute_10_59]) ).
cnf(refute_10_61,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_18
| s(X_1161) ),
inference(subst,[],[refute_10_60:[bind(X_1151,$fot(X_1161))]]) ).
cnf(refute_10_62,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( s(X_1161) )],[refute_10_61,refute_10_54]) ).
cnf(refute_10_63,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_16
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_10_52,refute_10_62]) ).
cnf(refute_10_64,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_10_63,refute_10_34]) ).
cnf(refute_10_65,plain,
( definitionFOFtoCNF_15
| p(skolemFOFtoCNF_X_105) ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_10_64,refute_10_39]) ).
cnf(refute_10_66,plain,
( definitionFOFtoCNF_15
| p(skolemFOFtoCNF_X_117) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_105) )],[refute_10_65,refute_10_37]) ).
cnf(refute_10_67,plain,
( definitionFOFtoCNF_15
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_117) )],[refute_10_66,refute_10_26]) ).
cnf(refute_10_68,plain,
( definitionFOFtoCNF_15
| p(skolemFOFtoCNF_Y_101) ),
inference(subst,[],[refute_10_67:[bind(Y,$fot(skolemFOFtoCNF_Y_101))]]) ).
cnf(refute_10_69,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_15
| s(Y0) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_101) )],[refute_10_68,refute_10_36]) ).
cnf(refute_10_70,plain,
( ~ definitionFOFtoCNF_16
| ~ s(X_1164)
| definitionFOFtoCNF_17 ),
inference(subst,[],[refute_10_19:[bind(X,$fot(X_1164))]]) ).
cnf(refute_10_71,plain,
( ~ definitionFOFtoCNF_16
| ~ s(skolemFOFtoCNF_Y_109(X_1151))
| definitionFOFtoCNF_17 ),
inference(subst,[],[refute_10_19:[bind(X,$fot(skolemFOFtoCNF_Y_109(X_1151)))]]) ).
cnf(refute_10_72,plain,
( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| definitionFOFtoCNF_18
| s(X_1151) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_109(X_1151)) )],[refute_10_58,refute_10_71]) ).
cnf(refute_10_73,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_17
| definitionFOFtoCNF_18
| s(X_1151) ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_10_64,refute_10_72]) ).
cnf(refute_10_74,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_17
| definitionFOFtoCNF_18
| s(X_1164) ),
inference(subst,[],[refute_10_73:[bind(X_1151,$fot(X_1164))]]) ).
cnf(refute_10_75,plain,
( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_15
| definitionFOFtoCNF_17
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( s(X_1164) )],[refute_10_74,refute_10_70]) ).
cnf(refute_10_76,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_17
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_10_64,refute_10_75]) ).
cnf(refute_10_77,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_10_76,refute_10_34]) ).
cnf(refute_10_78,plain,
( definitionFOFtoCNF_15
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_10_77,refute_10_69]) ).
cnf(refute_10_79,plain,
( definitionFOFtoCNF_15
| s(X_1166) ),
inference(subst,[],[refute_10_78:[bind(Y0,$fot(X_1166))]]) ).
cnf(refute_10_80,plain,
( definitionFOFtoCNF_15
| s(skolemFOFtoCNF_Y_109(X0)) ),
inference(subst,[],[refute_10_78:[bind(Y0,$fot(skolemFOFtoCNF_Y_109(X0)))]]) ).
cnf(refute_10_81,plain,
( ~ s(X0)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_109(X0)) )],[refute_10_80,refute_10_43]) ).
cnf(refute_10_82,plain,
( ~ s(X_1166)
| definitionFOFtoCNF_15
| definitionFOFtoCNF_18 ),
inference(subst,[],[refute_10_81:[bind(X0,$fot(X_1166))]]) ).
cnf(refute_10_83,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( s(X_1166) )],[refute_10_79,refute_10_82]) ).
cnf(refute_10_84,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_10_83,refute_10_34]) ).
cnf(refute_10_85,plain,
( definitionFOFtoCNF_16
| p(skolemFOFtoCNF_X_107) ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_10_84,refute_10_30]) ).
cnf(refute_10_86,plain,
( definitionFOFtoCNF_16
| p(skolemFOFtoCNF_X_117) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_107) )],[refute_10_85,refute_10_28]) ).
cnf(refute_10_87,plain,
( definitionFOFtoCNF_16
| p(Y) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_117) )],[refute_10_86,refute_10_26]) ).
cnf(refute_10_88,plain,
( definitionFOFtoCNF_16
| p(skolemFOFtoCNF_Y_101) ),
inference(subst,[],[refute_10_87:[bind(Y,$fot(skolemFOFtoCNF_Y_101))]]) ).
cnf(refute_10_89,plain,
( ~ p(skolemFOFtoCNF_Y_101)
| ~ s(skolemFOFtoCNF_Y_97)
| definitionFOFtoCNF_17
| q(Y) ),
inference(canonicalize,[],[normalize_10_45]) ).
cnf(refute_10_90,plain,
( ~ p(skolemFOFtoCNF_Y_101)
| ~ s(skolemFOFtoCNF_Y_97)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( q(Y) )],[refute_10_89,refute_10_7]) ).
cnf(refute_10_91,plain,
( ~ definitionFOFtoCNF_18
| ~ s(skolemFOFtoCNF_X_109)
| s(skolemFOFtoCNF_X_115) ),
inference(subst,[],[refute_10_16:[bind(Y,$fot(skolemFOFtoCNF_X_109))]]) ).
cnf(refute_10_92,plain,
( ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(skolemFOFtoCNF_X_115) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_109) )],[refute_10_40,refute_10_91]) ).
cnf(refute_10_93,plain,
( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_18
| q(X)
| q(skolemFOFtoCNF_Y_106(X)) ),
inference(canonicalize,[],[normalize_10_46]) ).
cnf(refute_10_94,plain,
( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_18
| q(skolemFOFtoCNF_Y_106(X)) ),
inference(resolve,[$cnf( q(X) )],[refute_10_93,refute_10_6]) ).
cnf(refute_10_95,plain,
~ q(skolemFOFtoCNF_Y_106(X)),
inference(subst,[],[refute_10_6:[bind(X,$fot(skolemFOFtoCNF_Y_106(X)))]]) ).
cnf(refute_10_96,plain,
( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_106(X)) )],[refute_10_94,refute_10_95]) ).
cnf(refute_10_97,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_10_84,refute_10_96]) ).
cnf(refute_10_98,plain,
( definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(skolemFOFtoCNF_X_115) ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_10_97,refute_10_92]) ).
cnf(refute_10_99,plain,
( ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(Y) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_115) )],[refute_10_98,refute_10_14]) ).
cnf(refute_10_100,plain,
( definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(Y) ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_10_97,refute_10_99]) ).
cnf(refute_10_101,plain,
( definitionFOFtoCNF_16
| definitionFOFtoCNF_17
| s(skolemFOFtoCNF_Y_97) ),
inference(subst,[],[refute_10_100:[bind(Y,$fot(skolemFOFtoCNF_Y_97))]]) ).
cnf(refute_10_102,plain,
( ~ p(skolemFOFtoCNF_Y_101)
| definitionFOFtoCNF_16
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_97) )],[refute_10_101,refute_10_90]) ).
cnf(refute_10_103,plain,
( definitionFOFtoCNF_16
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_101) )],[refute_10_88,refute_10_102]) ).
cnf(refute_10_104,plain,
( ~ definitionFOFtoCNF_17
| ~ s(X_1170)
| definitionFOFtoCNF_16 ),
inference(subst,[],[refute_10_53:[bind(X,$fot(X_1170))]]) ).
cnf(refute_10_105,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16
| s(Y0) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_101) )],[refute_10_88,refute_10_36]) ).
cnf(refute_10_106,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16
| s(X_1169) ),
inference(subst,[],[refute_10_105:[bind(Y0,$fot(X_1169))]]) ).
cnf(refute_10_107,plain,
( definitionFOFtoCNF_16
| s(X_1169) ),
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_10_103,refute_10_106]) ).
cnf(refute_10_108,plain,
( definitionFOFtoCNF_16
| s(X_1170) ),
inference(subst,[],[refute_10_107:[bind(X_1169,$fot(X_1170))]]) ).
cnf(refute_10_109,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( s(X_1170) )],[refute_10_108,refute_10_104]) ).
cnf(refute_10_110,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_10_103,refute_10_109]) ).
cnf(refute_10_111,plain,
( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_17
| s(X_1152) ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_10_110,refute_10_25]) ).
cnf(refute_10_112,plain,
( definitionFOFtoCNF_17
| s(X_1152) ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_10_84,refute_10_111]) ).
cnf(refute_10_113,plain,
( definitionFOFtoCNF_17
| s(X_1171) ),
inference(subst,[],[refute_10_112:[bind(X_1152,$fot(X_1171))]]) ).
cnf(refute_10_114,plain,
( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( s(X_1171) )],[refute_10_113,refute_10_20]) ).
cnf(refute_10_115,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_10_110,refute_10_114]) ).
cnf(refute_10_116,plain,
( ~ definitionFOFtoCNF_16
| s(skolemFOFtoCNF_X_110) ),
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_10_115,refute_10_18]) ).
cnf(refute_10_117,plain,
s(skolemFOFtoCNF_X_110),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_10_110,refute_10_116]) ).
cnf(refute_10_118,plain,
( ~ definitionFOFtoCNF_18
| s(skolemFOFtoCNF_X_115) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_110) )],[refute_10_117,refute_10_17]) ).
cnf(refute_10_119,plain,
s(skolemFOFtoCNF_X_115),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_10_97,refute_10_118]) ).
cnf(refute_10_120,plain,
( ~ definitionFOFtoCNF_18
| s(Y) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_115) )],[refute_10_119,refute_10_14]) ).
cnf(refute_10_121,plain,
s(Y),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_10_97,refute_10_120]) ).
cnf(refute_10_122,plain,
s(skolemFOFtoCNF_Y_104),
inference(subst,[],[refute_10_121:[bind(Y,$fot(skolemFOFtoCNF_Y_104))]]) ).
cnf(refute_10_123,plain,
( ~ definitionFOFtoCNF_17
| p(Y1) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_104) )],[refute_10_122,refute_10_8]) ).
cnf(refute_10_124,plain,
p(Y1),
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_10_115,refute_10_123]) ).
cnf(refute_10_125,plain,
p(X_1173),
inference(subst,[],[refute_10_124:[bind(Y1,$fot(X_1173))]]) ).
cnf(refute_10_126,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( p(X_1173) )],[refute_10_125,refute_10_4]) ).
cnf(refute_10_127,plain,
~ definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_10_84,refute_10_126]) ).
cnf(refute_10_128,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_10_110,refute_10_127]) ).
fof(negate_11_0,plain,
~ ( ( ( ? [X] : q(X)
<=> ! [Y] : r(Y) )
<=> ( ( ? [X] :
! [Y] :
( q(X)
<=> q(Y) )
<=> ( ? [X] : r(X)
<=> ! [Y] : s(Y) ) )
<=> ( ? [X] :
! [Y] :
( r(X)
<=> r(Y) )
<=> ( ( ? [X] : s(X)
<=> ! [Y] : p(Y) )
<=> ( ? [X] :
! [Y] :
( s(X)
<=> s(Y) )
<=> ( ? [X] : p(X)
<=> ! [Y] : q(Y) ) ) ) ) ) )
=> ? [X] :
! [Y] :
( p(X)
<=> p(Y) ) ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
<=> ~ definitionFOFtoCNF_22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_11_1,plain,
( ( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_21
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21 ) ),
inference(clausify,[],[normalize_11_0]) ).
fof(normalize_11_2,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_21
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_3,plain,
( ( ? [X] : p(X)
<=> ( ? [X] : q(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ( ? [Y] : ~ r(Y)
<=> ? [Y] : ~ s(Y) ) ) ) ) ) ) ) ) ) )
& ! [X] :
? [Y] :
( ~ p(X)
<=> p(Y) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_4,plain,
! [X] :
? [Y] :
( ~ p(X)
<=> p(Y) ),
inference(conjunct,[],[normalize_11_3]) ).
fof(normalize_11_5,plain,
! [X] :
? [Y] :
( ~ p(X)
<=> p(Y) ),
inference(specialize,[],[normalize_11_4]) ).
fof(normalize_11_6,plain,
! [X] :
( ~ p(X)
<=> p(skolemFOFtoCNF_Y_129(X)) ),
inference(skolemize,[],[normalize_11_5]) ).
fof(normalize_11_7,plain,
! [X] :
( ( ~ p(X)
| ~ p(skolemFOFtoCNF_Y_129(X)) )
& ( p(X)
| p(skolemFOFtoCNF_Y_129(X)) ) ),
inference(clausify,[],[normalize_11_6]) ).
fof(normalize_11_8,plain,
! [X] :
( p(X)
| p(skolemFOFtoCNF_Y_129(X)) ),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_9,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
<=> ( ? [X] : p(X)
<=> ( ? [X] : q(X)
<=> ? [X] : r(X) ) ) ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_11_10,plain,
( ~ definitionFOFtoCNF_22
<=> ( ? [X] : p(X)
<=> ( ? [X] : q(X)
<=> ? [X] : r(X) ) ) ),
inference(simplify,[],[normalize_11_9,normalize_11_0]) ).
fof(normalize_11_11,plain,
! [X,X0,X1] :
( ( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ q(X1)
| ~ r(X0) )
& ( ~ definitionFOFtoCNF_22
| ~ p(X)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) )
& ( ~ definitionFOFtoCNF_22
| ~ q(X1)
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) )
& ( ~ definitionFOFtoCNF_22
| ~ r(X)
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) )
& ( ~ p(X)
| ~ q(X1)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) )
& ( ~ p(X)
| ~ r(X0)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) )
& ( ~ q(X1)
| ~ r(X)
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) )
& ( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_122)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_123) ) ),
inference(clausify,[],[normalize_11_10]) ).
fof(normalize_11_12,plain,
! [X,X0] :
( ~ p(X)
| ~ r(X0)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_13,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_26(X,Y)
<=> ( ~ r(X)
<=> ~ r(Y) ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_11_14,plain,
! [X,Y] :
( ( ~ definitionFOFtoCNF_26(X,Y)
| ~ r(X)
| ~ r(Y) )
& ( ~ definitionFOFtoCNF_26(X,Y)
| r(X)
| r(Y) )
& ( ~ r(X)
| definitionFOFtoCNF_26(X,Y)
| r(Y) )
& ( ~ r(Y)
| definitionFOFtoCNF_26(X,Y)
| r(X) ) ),
inference(clausify,[],[normalize_11_13]) ).
fof(normalize_11_15,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_26(X,Y)
| r(X)
| r(Y) ),
inference(conjunct,[],[normalize_11_14]) ).
fof(normalize_11_16,plain,
( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_122)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_123) ),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_17,plain,
! [X,X1] :
( ~ q(X1)
| ~ r(X)
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) ),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_18,plain,
! [X,X1] :
( ~ p(X)
| ~ q(X1)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_19,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_25(X,Y)
<=> ( ~ q(X)
<=> ~ q(Y) ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_11_20,plain,
! [X,Y] :
( ( ~ definitionFOFtoCNF_25(X,Y)
| ~ q(X)
| ~ q(Y) )
& ( ~ definitionFOFtoCNF_25(X,Y)
| q(X)
| q(Y) )
& ( ~ q(X)
| definitionFOFtoCNF_25(X,Y)
| q(Y) )
& ( ~ q(Y)
| definitionFOFtoCNF_25(X,Y)
| q(X) ) ),
inference(clausify,[],[normalize_11_19]) ).
fof(normalize_11_21,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_25(X,Y)
| q(X)
| q(Y) ),
inference(conjunct,[],[normalize_11_20]) ).
fof(normalize_11_22,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_24
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ! [Y] : s(Y) ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_11_23,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_24
<=> ( ? [X] :
! [Y] : ~ definitionFOFtoCNF_25(X,Y)
<=> ! [Y] : s(Y) ) ) ),
inference(simplify,[],[normalize_11_22,normalize_11_19]) ).
fof(normalize_11_24,plain,
! [X,Y,Y0] :
( ( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,Y)
| ~ s(skolemFOFtoCNF_Y_123) )
& ( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) )
& ( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,Y)
| definitionFOFtoCNF_24
| s(Y0) )
& ( ~ definitionFOFtoCNF_20
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X)) )
& ( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,Y)
| definitionFOFtoCNF_20
| s(Y0) )
& ( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_122(X)) )
& ( ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,Y)
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_124(X))
| s(Y0) ) ),
inference(clausify,[],[normalize_11_23]) ).
fof(normalize_11_25,plain,
! [X] :
( ~ definitionFOFtoCNF_20
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X)) ),
inference(conjunct,[],[normalize_11_24]) ).
fof(normalize_11_26,plain,
( ? [X] : p(X)
<=> ( ? [X] : q(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ( ? [Y] : ~ r(Y)
<=> ? [Y] : ~ s(Y) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_11_3]) ).
fof(normalize_11_27,plain,
( ~ definitionFOFtoCNF_21
<=> ( ~ definitionFOFtoCNF_23
<=> ? [X] : s(X) ) ),
inference(canonicalize,[],[definition_16]) ).
fof(normalize_11_28,plain,
( ~ definitionFOFtoCNF_20
<=> ( ? [X] : p(X)
<=> ( ? [X] : q(X)
<=> ( ? [X] : r(X)
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : r(Y) ) ) ) ) ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_11_29,plain,
( ~ definitionFOFtoCNF_21
<=> ( ? [X] : s(X)
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : r(Y) ) ) ) ),
inference(simplify,[],[normalize_11_28,normalize_11_0,normalize_11_10]) ).
fof(normalize_11_30,plain,
( ~ definitionFOFtoCNF_23
<=> ( ? [Y] : ~ p(Y)
<=> ( ? [Y] : ~ q(Y)
<=> ! [Y] : r(Y) ) ) ),
inference(simplify,[],[normalize_11_29,normalize_11_27]) ).
fof(normalize_11_31,plain,
( ~ definitionFOFtoCNF_20
<=> ( ? [X] :
! [Y] :
( ~ q(X)
<=> ~ q(Y) )
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ( ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) )
<=> ! [Y] : s(Y) ) ) ) ),
inference(simplify,[],[normalize_11_26,normalize_11_0,normalize_11_27,normalize_11_30,normalize_11_10]) ).
fof(normalize_11_32,plain,
( ~ definitionFOFtoCNF_24
<=> ( ? [X] :
! [Y] :
( ~ r(X)
<=> ~ r(Y) )
<=> ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) ) ) ),
inference(simplify,[],[normalize_11_31,normalize_11_23,normalize_11_19]) ).
fof(normalize_11_33,plain,
( ~ definitionFOFtoCNF_24
<=> ( ? [X] :
! [Y] : ~ definitionFOFtoCNF_26(X,Y)
<=> ? [X] :
! [Y] :
( ~ s(X)
<=> ~ s(Y) ) ) ),
inference(simplify,[],[normalize_11_32,normalize_11_13]) ).
fof(normalize_11_34,plain,
! [X,X0,Y,Y0] :
( ( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_133) )
& ( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| ~ s(skolemFOFtoCNF_X_133)
| s(Y0) )
& ( ~ definitionFOFtoCNF_24
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_128(X0))
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X)) )
& ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) )
& ( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_128(X0))
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| definitionFOFtoCNF_24
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) )
& ( ~ s(Y0)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(skolemFOFtoCNF_X_133) )
& ( ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(Y0) ) ),
inference(clausify,[],[normalize_11_33]) ).
fof(normalize_11_35,plain,
! [X,Y0] :
( ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(Y0) ),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_36,plain,
! [X,Y0] :
( ~ s(Y0)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(skolemFOFtoCNF_X_133) ),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_37,plain,
! [X] :
( ( ~ definitionFOFtoCNF_21
| ~ definitionFOFtoCNF_23
| s(skolemFOFtoCNF_X_127) )
& ( ~ definitionFOFtoCNF_21
| ~ s(X)
| definitionFOFtoCNF_23 )
& ( ~ definitionFOFtoCNF_23
| ~ s(X)
| definitionFOFtoCNF_21 )
& ( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| s(skolemFOFtoCNF_X_127) ) ),
inference(clausify,[],[normalize_11_27]) ).
fof(normalize_11_38,plain,
( ~ definitionFOFtoCNF_21
| ~ definitionFOFtoCNF_23
| s(skolemFOFtoCNF_X_127) ),
inference(conjunct,[],[normalize_11_37]) ).
fof(normalize_11_39,plain,
! [Y,Y0,Y1] :
( ( ~ definitionFOFtoCNF_23
| ~ p(skolemFOFtoCNF_Y_114)
| ~ q(skolemFOFtoCNF_Y_115)
| ~ r(skolemFOFtoCNF_Y_116) )
& ( ~ definitionFOFtoCNF_23
| ~ p(skolemFOFtoCNF_Y_120)
| q(Y)
| r(Y1) )
& ( ~ definitionFOFtoCNF_23
| ~ q(skolemFOFtoCNF_Y_119)
| p(Y)
| r(Y1) )
& ( ~ definitionFOFtoCNF_23
| ~ r(skolemFOFtoCNF_Y_116)
| p(Y)
| q(Y0) )
& ( ~ p(skolemFOFtoCNF_Y_113)
| ~ r(skolemFOFtoCNF_Y_116)
| definitionFOFtoCNF_23
| q(Y) )
& ( ~ p(skolemFOFtoCNF_Y_117)
| ~ q(skolemFOFtoCNF_Y_118)
| definitionFOFtoCNF_23
| r(Y1) )
& ( ~ q(skolemFOFtoCNF_Y_112)
| ~ r(skolemFOFtoCNF_Y_116)
| definitionFOFtoCNF_23
| p(Y) )
& ( definitionFOFtoCNF_23
| p(Y)
| q(Y0)
| r(Y1) ) ),
inference(clausify,[],[normalize_11_30]) ).
fof(normalize_11_40,plain,
! [Y,Y0,Y1] :
( definitionFOFtoCNF_23
| p(Y)
| q(Y0)
| r(Y1) ),
inference(conjunct,[],[normalize_11_39]) ).
fof(normalize_11_41,plain,
! [X] :
( ~ p(X)
| ~ p(skolemFOFtoCNF_Y_129(X)) ),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_42,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_25(X,Y)
| ~ q(X)
| ~ q(Y) ),
inference(conjunct,[],[normalize_11_20]) ).
fof(normalize_11_43,plain,
! [X] :
( ~ definitionFOFtoCNF_21
| ~ s(X)
| definitionFOFtoCNF_23 ),
inference(conjunct,[],[normalize_11_37]) ).
fof(normalize_11_44,plain,
! [X,Y0] :
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(conjunct,[],[normalize_11_24]) ).
fof(normalize_11_45,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,Y)
| definitionFOFtoCNF_24
| s(Y0) ),
inference(conjunct,[],[normalize_11_24]) ).
fof(normalize_11_46,plain,
! [X,Y] :
( ~ q(X)
| definitionFOFtoCNF_25(X,Y)
| q(Y) ),
inference(conjunct,[],[normalize_11_20]) ).
fof(normalize_11_47,plain,
! [X,Y] :
( ~ q(Y)
| definitionFOFtoCNF_25(X,Y)
| q(X) ),
inference(conjunct,[],[normalize_11_20]) ).
fof(normalize_11_48,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_49,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_50,plain,
! [Y] :
( ~ q(skolemFOFtoCNF_Y_112)
| ~ r(skolemFOFtoCNF_Y_116)
| definitionFOFtoCNF_23
| p(Y) ),
inference(conjunct,[],[normalize_11_39]) ).
fof(normalize_11_51,plain,
! [X,Y0] :
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_124(X))
| s(Y0) ),
inference(conjunct,[],[normalize_11_24]) ).
fof(normalize_11_52,plain,
! [Y] :
( ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,Y)
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_11_24]) ).
fof(normalize_11_53,plain,
! [X0,Y] :
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_128(X0))
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_54,plain,
! [X,Y] :
( ~ r(X)
| definitionFOFtoCNF_26(X,Y)
| r(Y) ),
inference(conjunct,[],[normalize_11_14]) ).
fof(normalize_11_55,plain,
! [X,Y] :
( ~ r(Y)
| definitionFOFtoCNF_26(X,Y)
| r(X) ),
inference(conjunct,[],[normalize_11_14]) ).
fof(normalize_11_56,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_26(X,Y)
| ~ r(X)
| ~ r(Y) ),
inference(conjunct,[],[normalize_11_14]) ).
fof(normalize_11_57,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| s(skolemFOFtoCNF_X_127) ),
inference(conjunct,[],[normalize_11_37]) ).
fof(normalize_11_58,plain,
! [X] :
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_122(X)) ),
inference(conjunct,[],[normalize_11_24]) ).
fof(normalize_11_59,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_133) ),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_60,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| ~ s(skolemFOFtoCNF_X_133)
| s(Y0) ),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_61,plain,
! [X,X0] :
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_128(X0))
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X)) ),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_62,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,Y)
| definitionFOFtoCNF_20
| s(Y0) ),
inference(conjunct,[],[normalize_11_24]) ).
fof(normalize_11_63,plain,
! [X] :
( ~ definitionFOFtoCNF_23
| ~ s(X)
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_11_37]) ).
fof(normalize_11_64,plain,
! [X,X0] :
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_65,plain,
! [Y,Y0] :
( ~ definitionFOFtoCNF_23
| ~ r(skolemFOFtoCNF_Y_116)
| p(Y)
| q(Y0) ),
inference(conjunct,[],[normalize_11_39]) ).
fof(normalize_11_66,plain,
! [X0,Y] :
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| definitionFOFtoCNF_24
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_67,plain,
! [Y,Y1] :
( ~ definitionFOFtoCNF_23
| ~ q(skolemFOFtoCNF_Y_119)
| p(Y)
| r(Y1) ),
inference(conjunct,[],[normalize_11_39]) ).
fof(normalize_11_68,plain,
! [X,X0,X1] :
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ q(X1)
| ~ r(X0) ),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_69,plain,
! [X1] :
( ~ definitionFOFtoCNF_22
| ~ q(X1)
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_70,plain,
! [X] :
( ~ definitionFOFtoCNF_22
| ~ r(X)
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) ),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_71,plain,
! [X] :
( ~ definitionFOFtoCNF_22
| ~ p(X)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_72,plain,
( ~ definitionFOFtoCNF_23
| ~ p(skolemFOFtoCNF_Y_114)
| ~ q(skolemFOFtoCNF_Y_115)
| ~ r(skolemFOFtoCNF_Y_116) ),
inference(conjunct,[],[normalize_11_39]) ).
fof(normalize_11_73,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_74,plain,
! [Y] :
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,Y)
| ~ s(skolemFOFtoCNF_Y_123) ),
inference(conjunct,[],[normalize_11_24]) ).
cnf(refute_11_0,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_21
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_11_2]) ).
cnf(refute_11_1,plain,
( p(X)
| p(skolemFOFtoCNF_Y_129(X)) ),
inference(canonicalize,[],[normalize_11_8]) ).
cnf(refute_11_2,plain,
( ~ p(X)
| ~ r(X0)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(canonicalize,[],[normalize_11_12]) ).
cnf(refute_11_3,plain,
( ~ p(skolemFOFtoCNF_Y_129(X))
| ~ r(X_1212)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_2:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X0,$fot(X_1212))]]) ).
cnf(refute_11_4,plain,
( ~ r(X_1212)
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1,refute_11_3]) ).
cnf(refute_11_5,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_4:[bind(X_1212,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_6,plain,
( ~ r(skolemFOFtoCNF_Y_127(X_2909))
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_4:[bind(X_1212,$fot(skolemFOFtoCNF_Y_127(X_2909)))]]) ).
cnf(refute_11_7,plain,
( ~ definitionFOFtoCNF_26(X,Y)
| r(X)
| r(Y) ),
inference(canonicalize,[],[normalize_11_15]) ).
cnf(refute_11_8,plain,
( ~ definitionFOFtoCNF_26(X_2907,skolemFOFtoCNF_Y_127(X_2907))
| r(X_2907)
| r(skolemFOFtoCNF_Y_127(X_2907)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_2907)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2907)))]]) ).
cnf(refute_11_9,plain,
( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_122)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_123) ),
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_10,plain,
( ~ p(X_1211)
| ~ r(skolemFOFtoCNF_X_123)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_2:[bind(X,$fot(X_1211)),bind(X0,$fot(skolemFOFtoCNF_X_123))]]) ).
cnf(refute_11_11,plain,
( ~ p(X_1211)
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_122)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_123) )],[refute_11_9,refute_11_10]) ).
cnf(refute_11_12,plain,
( ~ p(X_1214)
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_122)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_11:[bind(X_1211,$fot(X_1214))]]) ).
cnf(refute_11_13,plain,
( ~ p(skolemFOFtoCNF_Y_129(X))
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_122)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_11:[bind(X_1211,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_14,plain,
( definitionFOFtoCNF_22
| p(X)
| p(skolemFOFtoCNF_X_122)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1,refute_11_13]) ).
cnf(refute_11_15,plain,
( definitionFOFtoCNF_22
| p(X_1214)
| p(skolemFOFtoCNF_X_122)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_14:[bind(X,$fot(X_1214))]]) ).
cnf(refute_11_16,plain,
( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_122)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(X_1214) )],[refute_11_15,refute_11_12]) ).
cnf(refute_11_17,plain,
( ~ q(X1)
| ~ r(X)
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) ),
inference(canonicalize,[],[normalize_11_17]) ).
cnf(refute_11_18,plain,
( ~ q(X1)
| ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) ),
inference(subst,[],[refute_11_17:[bind(X,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_19,plain,
( ~ p(X)
| ~ q(X1)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(canonicalize,[],[normalize_11_18]) ).
cnf(refute_11_20,plain,
( ~ p(skolemFOFtoCNF_Y_129(X))
| ~ q(X_1210)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_19:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X1,$fot(X_1210))]]) ).
cnf(refute_11_21,plain,
( ~ q(X_1210)
| definitionFOFtoCNF_22
| p(X)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1,refute_11_20]) ).
cnf(refute_11_22,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| p(X_1225)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_21:[bind(X,$fot(X_1225)),bind(X_1210,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_23,plain,
( definitionFOFtoCNF_22
| p(X_1225)
| p(skolemFOFtoCNF_X_122)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_16,refute_11_22]) ).
cnf(refute_11_24,plain,
( definitionFOFtoCNF_22
| p(X_1227)
| p(skolemFOFtoCNF_X_122)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_23:[bind(X_1225,$fot(X_1227))]]) ).
cnf(refute_11_25,plain,
( ~ q(X1)
| definitionFOFtoCNF_22
| p(X_1227)
| p(skolemFOFtoCNF_X_119)
| p(skolemFOFtoCNF_X_122) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_24,refute_11_18]) ).
cnf(refute_11_26,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| p(X_1282)
| p(skolemFOFtoCNF_X_119)
| p(skolemFOFtoCNF_X_122) ),
inference(subst,[],[refute_11_25:[bind(X1,$fot(skolemFOFtoCNF_X_126)),bind(X_1227,$fot(X_1282))]]) ).
cnf(refute_11_27,plain,
( definitionFOFtoCNF_22
| p(X_1282)
| p(skolemFOFtoCNF_X_119)
| p(skolemFOFtoCNF_X_122) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_16,refute_11_26]) ).
cnf(refute_11_28,plain,
( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119)
| p(skolemFOFtoCNF_X_122) ),
inference(subst,[],[refute_11_27:[bind(X_1282,$fot(skolemFOFtoCNF_X_122))]]) ).
cnf(refute_11_29,plain,
( ~ p(X)
| ~ q(skolemFOFtoCNF_Y_121(X_2776))
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_19:[bind(X1,$fot(skolemFOFtoCNF_Y_121(X_2776)))]]) ).
cnf(refute_11_30,plain,
( ~ definitionFOFtoCNF_25(X,Y)
| q(X)
| q(Y) ),
inference(canonicalize,[],[normalize_11_21]) ).
cnf(refute_11_31,plain,
( ~ definitionFOFtoCNF_25(X_2774,skolemFOFtoCNF_Y_121(X_2774))
| q(X_2774)
| q(skolemFOFtoCNF_Y_121(X_2774)) ),
inference(subst,[],[refute_11_30:[bind(X,$fot(X_2774)),bind(Y,$fot(skolemFOFtoCNF_Y_121(X_2774)))]]) ).
cnf(refute_11_32,plain,
( ~ definitionFOFtoCNF_20
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X)) ),
inference(canonicalize,[],[normalize_11_25]) ).
cnf(refute_11_33,plain,
( ~ r(X_2767)
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_4:[bind(X_1212,$fot(X_2767))]]) ).
cnf(refute_11_34,plain,
( ~ r(skolemFOFtoCNF_Y_126(X_2758))
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_4:[bind(X_1212,$fot(skolemFOFtoCNF_Y_126(X_2758)))]]) ).
cnf(refute_11_35,plain,
( ~ definitionFOFtoCNF_26(X_2753,skolemFOFtoCNF_Y_126(X_2753))
| r(X_2753)
| r(skolemFOFtoCNF_Y_126(X_2753)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_2753)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_2753)))]]) ).
cnf(refute_11_36,plain,
( ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(Y0) ),
inference(canonicalize,[],[normalize_11_35]) ).
cnf(refute_11_37,plain,
( ~ p(X)
| ~ r(skolemFOFtoCNF_Y_126(X_2739))
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_2:[bind(X0,$fot(skolemFOFtoCNF_Y_126(X_2739)))]]) ).
cnf(refute_11_38,plain,
( ~ definitionFOFtoCNF_26(X_2736,skolemFOFtoCNF_Y_126(X_2736))
| r(X_2736)
| r(skolemFOFtoCNF_Y_126(X_2736)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_2736)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_2736)))]]) ).
cnf(refute_11_39,plain,
( ~ s(Y0)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(skolemFOFtoCNF_X_133) ),
inference(canonicalize,[],[normalize_11_36]) ).
cnf(refute_11_40,plain,
( ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_39:[bind(Y0,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_41,plain,
( ~ definitionFOFtoCNF_21
| ~ definitionFOFtoCNF_23
| s(skolemFOFtoCNF_X_127) ),
inference(canonicalize,[],[normalize_11_38]) ).
cnf(refute_11_42,plain,
( ~ q(X_1250)
| definitionFOFtoCNF_22
| p(X)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_21:[bind(X_1210,$fot(X_1250))]]) ).
cnf(refute_11_43,plain,
( definitionFOFtoCNF_23
| p(Y)
| q(Y0)
| r(Y1) ),
inference(canonicalize,[],[normalize_11_40]) ).
cnf(refute_11_44,plain,
( definitionFOFtoCNF_23
| p(X_1249)
| q(X_1250)
| r(X_1251) ),
inference(subst,[],[refute_11_43:[bind(Y,$fot(X_1249)),bind(Y0,$fot(X_1250)),bind(Y1,$fot(X_1251))]]) ).
cnf(refute_11_45,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(X)
| p(X_1249)
| r(X_1251)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( q(X_1250) )],[refute_11_44,refute_11_42]) ).
cnf(refute_11_46,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(X_1255)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_45:[bind(X,$fot(X_1255)),bind(X_1249,$fot(X_1255)),bind(X_1251,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_47,plain,
( ~ p(X)
| ~ p(skolemFOFtoCNF_Y_129(X)) ),
inference(canonicalize,[],[normalize_11_41]) ).
cnf(refute_11_48,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_Y_129(X))
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_45:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1249,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1251,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_49,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_48,refute_11_47]) ).
cnf(refute_11_50,plain,
( ~ p(X_1255)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_49:[bind(X,$fot(X_1255))]]) ).
cnf(refute_11_51,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( p(X_1255) )],[refute_11_46,refute_11_50]) ).
cnf(refute_11_52,plain,
( ~ r(X_1251)
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_4:[bind(X_1212,$fot(X_1251))]]) ).
cnf(refute_11_53,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(X)
| p(X_1249)
| q(X_1250)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(X_1251) )],[refute_11_44,refute_11_52]) ).
cnf(refute_11_54,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(X_1254)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_53:[bind(X,$fot(X_1254)),bind(X_1249,$fot(X_1254)),bind(X_1250,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_55,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_53:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1249,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1250,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_56,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_55,refute_11_47]) ).
cnf(refute_11_57,plain,
( ~ p(X_1254)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_56:[bind(X,$fot(X_1254))]]) ).
cnf(refute_11_58,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(X_1254) )],[refute_11_54,refute_11_57]) ).
cnf(refute_11_59,plain,
( definitionFOFtoCNF_23
| p(X_1276)
| q(Y0)
| r(Y1) ),
inference(subst,[],[refute_11_43:[bind(Y,$fot(X_1276))]]) ).
cnf(refute_11_60,plain,
( definitionFOFtoCNF_23
| p(skolemFOFtoCNF_Y_129(X))
| q(X_1250)
| r(X_1251) ),
inference(subst,[],[refute_11_43:[bind(Y,$fot(skolemFOFtoCNF_Y_129(X))),bind(Y0,$fot(X_1250)),bind(Y1,$fot(X_1251))]]) ).
cnf(refute_11_61,plain,
( ~ p(X)
| definitionFOFtoCNF_23
| q(X_1250)
| r(X_1251) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_60,refute_11_47]) ).
cnf(refute_11_62,plain,
( ~ p(X_1276)
| definitionFOFtoCNF_23
| q(X_1277)
| r(X_1278) ),
inference(subst,[],[refute_11_61:[bind(X,$fot(X_1276)),bind(X_1250,$fot(X_1277)),bind(X_1251,$fot(X_1278))]]) ).
cnf(refute_11_63,plain,
( definitionFOFtoCNF_23
| q(Y0)
| q(X_1277)
| r(Y1)
| r(X_1278) ),
inference(resolve,[$cnf( p(X_1276) )],[refute_11_59,refute_11_62]) ).
cnf(refute_11_64,plain,
( definitionFOFtoCNF_23
| q(skolemFOFtoCNF_Y_125(X_2719))
| r(X_1278) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(skolemFOFtoCNF_Y_125(X_2719))),bind(Y1,$fot(X_1278)),bind(X_1277,$fot(skolemFOFtoCNF_Y_125(X_2719)))]]) ).
cnf(refute_11_65,plain,
( ~ definitionFOFtoCNF_25(X,Y)
| ~ q(X)
| ~ q(Y) ),
inference(canonicalize,[],[normalize_11_42]) ).
cnf(refute_11_66,plain,
( ~ definitionFOFtoCNF_25(X_2718,skolemFOFtoCNF_Y_125(X_2718))
| ~ q(X_2718)
| ~ q(skolemFOFtoCNF_Y_125(X_2718)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_2718)),bind(Y,$fot(skolemFOFtoCNF_Y_125(X_2718)))]]) ).
cnf(refute_11_67,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X)
| definitionFOFtoCNF_23 ),
inference(canonicalize,[],[normalize_11_43]) ).
cnf(refute_11_68,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X_2717)
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(X_2717))]]) ).
cnf(refute_11_69,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(canonicalize,[],[normalize_11_44]) ).
cnf(refute_11_70,plain,
( ~ q(X1)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_51,refute_11_18]) ).
cnf(refute_11_71,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_119) ),
inference(subst,[],[refute_11_70:[bind(X1,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_72,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_58,refute_11_71]) ).
cnf(refute_11_73,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X_2702)
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(X_2702))]]) ).
cnf(refute_11_74,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,Y)
| definitionFOFtoCNF_24
| s(Y0) ),
inference(canonicalize,[],[normalize_11_45]) ).
cnf(refute_11_75,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2699)
| definitionFOFtoCNF_24
| s(Y0) ),
inference(subst,[],[refute_11_74:[bind(Y,$fot(X_2699))]]) ).
cnf(refute_11_76,plain,
( ~ q(X)
| definitionFOFtoCNF_25(X,Y)
| q(Y) ),
inference(canonicalize,[],[normalize_11_46]) ).
cnf(refute_11_77,plain,
( ~ q(skolemFOFtoCNF_X_130)
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,Y)
| q(Y) ),
inference(subst,[],[refute_11_76:[bind(X,$fot(skolemFOFtoCNF_X_130))]]) ).
cnf(refute_11_78,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X_2347)
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(X_2347))]]) ).
cnf(refute_11_79,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_24
| s(Y0) ),
inference(subst,[],[refute_11_74:[bind(Y,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_80,plain,
( ~ q(Y)
| definitionFOFtoCNF_25(X,Y)
| q(X) ),
inference(canonicalize,[],[normalize_11_47]) ).
cnf(refute_11_81,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_X_126)
| q(X) ),
inference(subst,[],[refute_11_80:[bind(Y,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_82,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_X_126)
| q(X) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_58,refute_11_81]) ).
cnf(refute_11_83,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_X_130) ),
inference(subst,[],[refute_11_82:[bind(X,$fot(skolemFOFtoCNF_X_130))]]) ).
cnf(refute_11_84,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,skolemFOFtoCNF_X_126) )],[refute_11_83,refute_11_79]) ).
cnf(refute_11_85,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_11_48]) ).
cnf(refute_11_86,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_11_49]) ).
cnf(refute_11_87,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| p(X)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_21:[bind(X_1210,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_88,plain,
( ~ r(X_1679)
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_4:[bind(X_1212,$fot(X_1679))]]) ).
cnf(refute_11_89,plain,
( ~ r(skolemFOFtoCNF_Y_127(X_1675))
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_4:[bind(X_1212,$fot(skolemFOFtoCNF_Y_127(X_1675)))]]) ).
cnf(refute_11_90,plain,
( ~ definitionFOFtoCNF_26(X_1673,skolemFOFtoCNF_Y_127(X_1673))
| r(X_1673)
| r(skolemFOFtoCNF_Y_127(X_1673)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_1673)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_1673)))]]) ).
cnf(refute_11_91,plain,
( ~ q(skolemFOFtoCNF_Y_112)
| ~ r(skolemFOFtoCNF_Y_116)
| definitionFOFtoCNF_23
| p(Y) ),
inference(canonicalize,[],[normalize_11_50]) ).
cnf(refute_11_92,plain,
( definitionFOFtoCNF_23
| q(skolemFOFtoCNF_Y_122(X_1560))
| r(X_1278) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(skolemFOFtoCNF_Y_122(X_1560))),bind(Y1,$fot(X_1278)),bind(X_1277,$fot(skolemFOFtoCNF_Y_122(X_1560)))]]) ).
cnf(refute_11_93,plain,
( ~ definitionFOFtoCNF_25(X_1558,skolemFOFtoCNF_Y_122(X_1558))
| ~ q(X_1558)
| ~ q(skolemFOFtoCNF_Y_122(X_1558)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_1558)),bind(Y,$fot(skolemFOFtoCNF_Y_122(X_1558)))]]) ).
cnf(refute_11_94,plain,
( definitionFOFtoCNF_23
| q(X_1307)
| r(X_1278) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_1307)),bind(Y1,$fot(X_1278)),bind(X_1277,$fot(X_1307))]]) ).
cnf(refute_11_95,plain,
( definitionFOFtoCNF_23
| q(skolemFOFtoCNF_Y_124(X_1285))
| r(X_1278) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(skolemFOFtoCNF_Y_124(X_1285))),bind(Y1,$fot(X_1278)),bind(X_1277,$fot(skolemFOFtoCNF_Y_124(X_1285)))]]) ).
cnf(refute_11_96,plain,
( ~ definitionFOFtoCNF_25(X_1230,skolemFOFtoCNF_Y_124(X_1230))
| ~ q(X_1230)
| ~ q(skolemFOFtoCNF_Y_124(X_1230)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_1230)),bind(Y,$fot(skolemFOFtoCNF_Y_124(X_1230)))]]) ).
cnf(refute_11_97,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_124(X))
| s(Y0) ),
inference(canonicalize,[],[normalize_11_51]) ).
cnf(refute_11_98,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_1230,skolemFOFtoCNF_Y_124(X_1230))
| s(X_1231) ),
inference(subst,[],[refute_11_97:[bind(X,$fot(X_1230)),bind(Y0,$fot(X_1231))]]) ).
cnf(refute_11_99,plain,
( ~ q(X_1230)
| ~ q(skolemFOFtoCNF_Y_124(X_1230))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(X_1231) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_1230,skolemFOFtoCNF_Y_124(X_1230)) )],[refute_11_98,refute_11_96]) ).
cnf(refute_11_100,plain,
( ~ q(X_1285)
| ~ q(skolemFOFtoCNF_Y_124(X_1285))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(X_1286) ),
inference(subst,[],[refute_11_99:[bind(X_1230,$fot(X_1285)),bind(X_1231,$fot(X_1286))]]) ).
cnf(refute_11_101,plain,
( ~ q(X_1285)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1278)
| s(X_1286) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_124(X_1285)) )],[refute_11_95,refute_11_100]) ).
cnf(refute_11_102,plain,
( ~ q(X_1307)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1306)
| s(X_1308) ),
inference(subst,[],[refute_11_101:[bind(X_1278,$fot(X_1306)),bind(X_1285,$fot(X_1307)),bind(X_1286,$fot(X_1308))]]) ).
cnf(refute_11_103,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1278)
| r(X_1306)
| s(X_1308) ),
inference(resolve,[$cnf( q(X_1307) )],[refute_11_94,refute_11_102]) ).
cnf(refute_11_104,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1306)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_103:[bind(X_1278,$fot(X_1306)),bind(X_1308,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_105,plain,
( ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,Y)
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_11_52]) ).
cnf(refute_11_106,plain,
( ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_Y_124(skolemFOFtoCNF_X_128))
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_105:[bind(Y,$fot(skolemFOFtoCNF_Y_124(skolemFOFtoCNF_X_128)))]]) ).
cnf(refute_11_107,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_124(X))
| s(X_1300) ),
inference(subst,[],[refute_11_97:[bind(Y0,$fot(X_1300))]]) ).
cnf(refute_11_108,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_124(X))
| s(skolemFOFtoCNF_Y_128(X_1237)) ),
inference(subst,[],[refute_11_97:[bind(Y0,$fot(skolemFOFtoCNF_Y_128(X_1237)))]]) ).
cnf(refute_11_109,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_128(X0))
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_11_53]) ).
cnf(refute_11_110,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1238)
| ~ s(X_1237)
| ~ s(skolemFOFtoCNF_Y_128(X_1237))
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_109:[bind(X0,$fot(X_1237)),bind(Y,$fot(X_1238))]]) ).
cnf(refute_11_111,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1238)
| ~ s(X_1237)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_124(X)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_1237)) )],[refute_11_108,refute_11_110]) ).
cnf(refute_11_112,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1301)
| ~ s(X_1300)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_1299,skolemFOFtoCNF_Y_124(X_1299)) ),
inference(subst,[],[refute_11_111:[bind(X,$fot(X_1299)),bind(X_1237,$fot(X_1300)),bind(X_1238,$fot(X_1301))]]) ).
cnf(refute_11_113,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1301)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_124(X))
| definitionFOFtoCNF_25(X_1299,skolemFOFtoCNF_Y_124(X_1299)) ),
inference(resolve,[$cnf( s(X_1300) )],[refute_11_107,refute_11_112]) ).
cnf(refute_11_114,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1324)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_124(X))
| definitionFOFtoCNF_25(X_1299,skolemFOFtoCNF_Y_124(X_1299)) ),
inference(subst,[],[refute_11_113:[bind(X,$fot(X_1299)),bind(X_1299,$fot(X)),bind(X_1301,$fot(X_1324))]]) ).
cnf(refute_11_115,plain,
( ~ r(X)
| definitionFOFtoCNF_26(X,Y)
| r(Y) ),
inference(canonicalize,[],[normalize_11_54]) ).
cnf(refute_11_116,plain,
( ~ r(skolemFOFtoCNF_X_134)
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| r(Y) ),
inference(subst,[],[refute_11_115:[bind(X,$fot(skolemFOFtoCNF_X_134))]]) ).
cnf(refute_11_117,plain,
( ~ r(Y)
| definitionFOFtoCNF_26(X,Y)
| r(X) ),
inference(canonicalize,[],[normalize_11_55]) ).
cnf(refute_11_118,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_X_118)
| r(X) ),
inference(subst,[],[refute_11_117:[bind(Y,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_119,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_X_118)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_51,refute_11_118]) ).
cnf(refute_11_120,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_119:[bind(X,$fot(skolemFOFtoCNF_X_134))]]) ).
cnf(refute_11_121,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_1319,skolemFOFtoCNF_Y_124(X_1319))
| definitionFOFtoCNF_25(X_1320,skolemFOFtoCNF_Y_124(X_1320)) ),
inference(subst,[],[refute_11_113:[bind(X,$fot(X_1320)),bind(X_1299,$fot(X_1319)),bind(X_1301,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_122,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_1319,skolemFOFtoCNF_Y_124(X_1319))
| definitionFOFtoCNF_25(X_1320,skolemFOFtoCNF_Y_124(X_1320))
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118) )],[refute_11_120,refute_11_121]) ).
cnf(refute_11_123,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_Y_124(skolemFOFtoCNF_X_128))
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_122:[bind(X_1319,$fot(skolemFOFtoCNF_X_128)),bind(X_1320,$fot(skolemFOFtoCNF_X_128))]]) ).
cnf(refute_11_124,plain,
( ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_Y_124(skolemFOFtoCNF_X_128)) )],[refute_11_123,refute_11_106]) ).
cnf(refute_11_125,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1306)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_104,refute_11_124]) ).
cnf(refute_11_126,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_125:[bind(X_1306,$fot(skolemFOFtoCNF_X_134))]]) ).
cnf(refute_11_127,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_134) )],[refute_11_126,refute_11_116]) ).
cnf(refute_11_128,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1324)
| r(X_1324) ),
inference(subst,[],[refute_11_127:[bind(Y,$fot(X_1324))]]) ).
cnf(refute_11_129,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_124(X))
| definitionFOFtoCNF_25(X_1299,skolemFOFtoCNF_Y_124(X_1299))
| r(X_1324) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1324) )],[refute_11_128,refute_11_114]) ).
cnf(refute_11_130,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_Y_124(skolemFOFtoCNF_X_128))
| r(X_1343) ),
inference(subst,[],[refute_11_129:[bind(X,$fot(skolemFOFtoCNF_X_128)),bind(X_1299,$fot(skolemFOFtoCNF_X_128)),bind(X_1324,$fot(X_1343))]]) ).
cnf(refute_11_131,plain,
( ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1343) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_Y_124(skolemFOFtoCNF_X_128)) )],[refute_11_130,refute_11_106]) ).
cnf(refute_11_132,plain,
( ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1344) ),
inference(subst,[],[refute_11_131:[bind(X_1343,$fot(X_1344))]]) ).
cnf(refute_11_133,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1306)
| r(X_1344) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_104,refute_11_132]) ).
cnf(refute_11_134,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_133:[bind(X_1306,$fot(skolemFOFtoCNF_Y_116)),bind(X_1344,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_135,plain,
( ~ q(skolemFOFtoCNF_Y_112)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_134,refute_11_91]) ).
cnf(refute_11_136,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_126(X_1394)) ),
inference(subst,[],[refute_11_133:[bind(X_1306,$fot(skolemFOFtoCNF_Y_126(X_1394))),bind(X_1344,$fot(skolemFOFtoCNF_Y_126(X_1394)))]]) ).
cnf(refute_11_137,plain,
( ~ definitionFOFtoCNF_26(X,Y)
| ~ r(X)
| ~ r(Y) ),
inference(canonicalize,[],[normalize_11_56]) ).
cnf(refute_11_138,plain,
( ~ definitionFOFtoCNF_26(X_1371,skolemFOFtoCNF_Y_126(X_1371))
| ~ r(X_1371)
| ~ r(skolemFOFtoCNF_Y_126(X_1371)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_1371)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_1371)))]]) ).
cnf(refute_11_139,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1369)
| s(X_1308) ),
inference(subst,[],[refute_11_103:[bind(X_1278,$fot(X_1369)),bind(X_1306,$fot(X_1369))]]) ).
cnf(refute_11_140,plain,
( ~ definitionFOFtoCNF_26(X_1243,skolemFOFtoCNF_Y_126(X_1243))
| ~ r(X_1243)
| ~ r(skolemFOFtoCNF_Y_126(X_1243)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_1243)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_1243)))]]) ).
cnf(refute_11_141,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| s(skolemFOFtoCNF_X_127) ),
inference(canonicalize,[],[normalize_11_57]) ).
cnf(refute_11_142,plain,
( ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_1241,skolemFOFtoCNF_Y_126(X_1241))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_39:[bind(X,$fot(X_1241)),bind(Y0,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_143,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_1241,skolemFOFtoCNF_Y_126(X_1241))
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_141,refute_11_142]) ).
cnf(refute_11_144,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_1243,skolemFOFtoCNF_Y_126(X_1243))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_143:[bind(X_1241,$fot(X_1243))]]) ).
cnf(refute_11_145,plain,
( ~ r(X_1243)
| ~ r(skolemFOFtoCNF_Y_126(X_1243))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1243,skolemFOFtoCNF_Y_126(X_1243)) )],[refute_11_144,refute_11_140]) ).
cnf(refute_11_146,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_126(X_1243))
| s(X_1310) ),
inference(subst,[],[refute_11_103:[bind(X_1278,$fot(skolemFOFtoCNF_Y_126(X_1243))),bind(X_1306,$fot(skolemFOFtoCNF_Y_126(X_1243))),bind(X_1308,$fot(X_1310))]]) ).
cnf(refute_11_147,plain,
( ~ r(X_1243)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_1310)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1243)) )],[refute_11_146,refute_11_145]) ).
cnf(refute_11_148,plain,
( ~ r(X_1369)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_1370)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_147:[bind(X_1243,$fot(X_1369)),bind(X_1310,$fot(X_1370))]]) ).
cnf(refute_11_149,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_1308)
| s(X_1370)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(X_1369) )],[refute_11_139,refute_11_148]) ).
cnf(refute_11_150,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_149:[bind(X_1308,$fot(skolemFOFtoCNF_X_133)),bind(X_1370,$fot(skolemFOFtoCNF_X_133))]]) ).
cnf(refute_11_151,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_150,refute_11_36]) ).
cnf(refute_11_152,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_1371,skolemFOFtoCNF_Y_126(X_1371))
| s(X_1372) ),
inference(subst,[],[refute_11_151:[bind(X,$fot(X_1371)),bind(Y0,$fot(X_1372))]]) ).
cnf(refute_11_153,plain,
( ~ r(X_1371)
| ~ r(skolemFOFtoCNF_Y_126(X_1371))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_1372) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1371,skolemFOFtoCNF_Y_126(X_1371)) )],[refute_11_152,refute_11_138]) ).
cnf(refute_11_154,plain,
( ~ r(X_1394)
| ~ r(skolemFOFtoCNF_Y_126(X_1394))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_1395) ),
inference(subst,[],[refute_11_153:[bind(X_1371,$fot(X_1394)),bind(X_1372,$fot(X_1395))]]) ).
cnf(refute_11_155,plain,
( ~ r(X_1394)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_1395) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1394)) )],[refute_11_136,refute_11_154]) ).
cnf(refute_11_156,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_1397) ),
inference(subst,[],[refute_11_155:[bind(X_1394,$fot(skolemFOFtoCNF_X_118)),bind(X_1395,$fot(X_1397))]]) ).
cnf(refute_11_157,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_1397) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_51,refute_11_156]) ).
cnf(refute_11_158,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_157:[bind(X_1397,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_159,plain,
( ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,X_1399)
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_105:[bind(Y,$fot(X_1399))]]) ).
cnf(refute_11_160,plain,
( ~ q(skolemFOFtoCNF_X_128)
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,Y)
| q(Y) ),
inference(subst,[],[refute_11_76:[bind(X,$fot(skolemFOFtoCNF_X_128))]]) ).
cnf(refute_11_161,plain,
( ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_X_126)
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_105:[bind(Y,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_162,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_X_128) ),
inference(subst,[],[refute_11_82:[bind(X,$fot(skolemFOFtoCNF_X_128))]]) ).
cnf(refute_11_163,plain,
( ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_X_126) )],[refute_11_162,refute_11_161]) ).
cnf(refute_11_164,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_158,refute_11_163]) ).
cnf(refute_11_165,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,Y)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_128) )],[refute_11_164,refute_11_160]) ).
cnf(refute_11_166,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,X_1399)
| q(X_1399) ),
inference(subst,[],[refute_11_165:[bind(Y,$fot(X_1399))]]) ).
cnf(refute_11_167,plain,
( ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1399) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,X_1399) )],[refute_11_166,refute_11_159]) ).
cnf(refute_11_168,plain,
( ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1400) ),
inference(subst,[],[refute_11_167:[bind(X_1399,$fot(X_1400))]]) ).
cnf(refute_11_169,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1400) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_158,refute_11_168]) ).
cnf(refute_11_170,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_112) ),
inference(subst,[],[refute_11_169:[bind(X_1400,$fot(skolemFOFtoCNF_Y_112))]]) ).
cnf(refute_11_171,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_112) )],[refute_11_170,refute_11_135]) ).
cnf(refute_11_172,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X)) ),
inference(subst,[],[refute_11_171:[bind(Y,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_173,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_172,refute_11_47]) ).
cnf(refute_11_174,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_173:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_175,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_72,refute_11_174]) ).
cnf(refute_11_176,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_122(X)) ),
inference(canonicalize,[],[normalize_11_58]) ).
cnf(refute_11_177,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_133) ),
inference(canonicalize,[],[normalize_11_59]) ).
cnf(refute_11_178,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_1467)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_177:[bind(Y,$fot(X_1467))]]) ).
cnf(refute_11_179,plain,
( ~ r(skolemFOFtoCNF_X_132)
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| r(Y) ),
inference(subst,[],[refute_11_115:[bind(X,$fot(skolemFOFtoCNF_X_132))]]) ).
cnf(refute_11_180,plain,
( definitionFOFtoCNF_23
| q(skolemFOFtoCNF_Y_122(X_1411))
| r(X_1278) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(skolemFOFtoCNF_Y_122(X_1411))),bind(Y1,$fot(X_1278)),bind(X_1277,$fot(skolemFOFtoCNF_Y_122(X_1411)))]]) ).
cnf(refute_11_181,plain,
( ~ definitionFOFtoCNF_25(X_1410,skolemFOFtoCNF_Y_122(X_1410))
| ~ q(X_1410)
| ~ q(skolemFOFtoCNF_Y_122(X_1410)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_1410)),bind(Y,$fot(skolemFOFtoCNF_Y_122(X_1410)))]]) ).
cnf(refute_11_182,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| ~ s(skolemFOFtoCNF_X_133)
| s(Y0) ),
inference(canonicalize,[],[normalize_11_60]) ).
cnf(refute_11_183,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_118)
| ~ s(skolemFOFtoCNF_X_133)
| s(Y0) ),
inference(subst,[],[refute_11_182:[bind(Y,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_184,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_118)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_119:[bind(X,$fot(skolemFOFtoCNF_X_132))]]) ).
cnf(refute_11_185,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_118) )],[refute_11_184,refute_11_183]) ).
cnf(refute_11_186,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_118)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_177:[bind(Y,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_187,plain,
( ~ definitionFOFtoCNF_24
| ~ s(Y0)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_118) )],[refute_11_184,refute_11_186]) ).
cnf(refute_11_188,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_187:[bind(Y0,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_189,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_141,refute_11_188]) ).
cnf(refute_11_190,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_189]) ).
cnf(refute_11_191,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_190,refute_11_185]) ).
cnf(refute_11_192,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132)
| s(X_1405) ),
inference(subst,[],[refute_11_191:[bind(Y0,$fot(X_1405))]]) ).
cnf(refute_11_193,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132)
| s(X_1405) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_192]) ).
cnf(refute_11_194,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_193:[bind(X_1405,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_195,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_122(X))
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_194,refute_11_176]) ).
cnf(refute_11_196,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_1409,skolemFOFtoCNF_Y_122(X_1409))
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_195:[bind(X,$fot(X_1409))]]) ).
cnf(refute_11_197,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_1409,skolemFOFtoCNF_Y_122(X_1409))
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_196]) ).
cnf(refute_11_198,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_1410,skolemFOFtoCNF_Y_122(X_1410))
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_197:[bind(X_1409,$fot(X_1410))]]) ).
cnf(refute_11_199,plain,
( ~ q(X_1410)
| ~ q(skolemFOFtoCNF_Y_122(X_1410))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_1410,skolemFOFtoCNF_Y_122(X_1410)) )],[refute_11_198,refute_11_181]) ).
cnf(refute_11_200,plain,
( ~ q(X_1411)
| ~ q(skolemFOFtoCNF_Y_122(X_1411))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_199:[bind(X_1410,$fot(X_1411))]]) ).
cnf(refute_11_201,plain,
( ~ q(X_1411)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1278)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_122(X_1411)) )],[refute_11_180,refute_11_200]) ).
cnf(refute_11_202,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1464)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_201:[bind(X_1278,$fot(X_1464)),bind(X_1411,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_203,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1464)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_58,refute_11_202]) ).
cnf(refute_11_204,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_203:[bind(X_1464,$fot(skolemFOFtoCNF_X_132))]]) ).
cnf(refute_11_205,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_132) )],[refute_11_204,refute_11_179]) ).
cnf(refute_11_206,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_1467)
| r(X_1467) ),
inference(subst,[],[refute_11_205:[bind(Y,$fot(X_1467))]]) ).
cnf(refute_11_207,plain,
( ~ definitionFOFtoCNF_24
| ~ s(Y0)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1467)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_1467) )],[refute_11_206,refute_11_178]) ).
cnf(refute_11_208,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1512)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_207:[bind(Y0,$fot(skolemFOFtoCNF_X_127)),bind(X_1467,$fot(X_1512))]]) ).
cnf(refute_11_209,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1512)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_141,refute_11_208]) ).
cnf(refute_11_210,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1513)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_209:[bind(X_1512,$fot(X_1513))]]) ).
cnf(refute_11_211,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1513)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_210]) ).
cnf(refute_11_212,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_1467)
| ~ s(skolemFOFtoCNF_X_133)
| s(Y0) ),
inference(subst,[],[refute_11_182:[bind(Y,$fot(X_1467))]]) ).
cnf(refute_11_213,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1467)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_1467) )],[refute_11_206,refute_11_212]) ).
cnf(refute_11_214,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1516)
| s(X_1515) ),
inference(subst,[],[refute_11_213:[bind(Y0,$fot(X_1515)),bind(X_1467,$fot(X_1516))]]) ).
cnf(refute_11_215,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1513)
| r(X_1516)
| s(X_1515) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_211,refute_11_214]) ).
cnf(refute_11_216,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1551)
| r(X_1553)
| s(X_1552) ),
inference(subst,[],[refute_11_215:[bind(X_1513,$fot(X_1553)),bind(X_1515,$fot(X_1552)),bind(X_1516,$fot(X_1551))]]) ).
cnf(refute_11_217,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1551)
| r(X_1553)
| s(X_1552) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_216]) ).
cnf(refute_11_218,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1555)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_217:[bind(X_1551,$fot(X_1555)),bind(X_1552,$fot(skolemFOFtoCNF_Y_123)),bind(X_1553,$fot(X_1555))]]) ).
cnf(refute_11_219,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_122(X))
| r(X_1555) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_218,refute_11_176]) ).
cnf(refute_11_220,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_1556,skolemFOFtoCNF_Y_122(X_1556))
| r(X_1557) ),
inference(subst,[],[refute_11_219:[bind(X,$fot(X_1556)),bind(X_1555,$fot(X_1557))]]) ).
cnf(refute_11_221,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_1556,skolemFOFtoCNF_Y_122(X_1556))
| r(X_1557) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_220]) ).
cnf(refute_11_222,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_1558,skolemFOFtoCNF_Y_122(X_1558))
| r(X_1559) ),
inference(subst,[],[refute_11_221:[bind(X_1556,$fot(X_1558)),bind(X_1557,$fot(X_1559))]]) ).
cnf(refute_11_223,plain,
( ~ q(X_1558)
| ~ q(skolemFOFtoCNF_Y_122(X_1558))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1559) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_1558,skolemFOFtoCNF_Y_122(X_1558)) )],[refute_11_222,refute_11_93]) ).
cnf(refute_11_224,plain,
( ~ q(X_1560)
| ~ q(skolemFOFtoCNF_Y_122(X_1560))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1561) ),
inference(subst,[],[refute_11_223:[bind(X_1558,$fot(X_1560)),bind(X_1559,$fot(X_1561))]]) ).
cnf(refute_11_225,plain,
( ~ q(X_1560)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1278)
| r(X_1561) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_122(X_1560)) )],[refute_11_92,refute_11_224]) ).
cnf(refute_11_226,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1562)
| r(X_1564) ),
inference(subst,[],[refute_11_225:[bind(X_1278,$fot(X_1564)),bind(X_1560,$fot(skolemFOFtoCNF_X_126)),bind(X_1561,$fot(X_1562))]]) ).
cnf(refute_11_227,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1562)
| r(X_1564) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_58,refute_11_226]) ).
cnf(refute_11_228,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_227:[bind(X_1562,$fot(skolemFOFtoCNF_Y_116)),bind(X_1564,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_229,plain,
( ~ q(skolemFOFtoCNF_Y_112)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_228,refute_11_91]) ).
cnf(refute_11_230,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_Y_127(X_1621)) ),
inference(subst,[],[refute_11_227:[bind(X_1562,$fot(skolemFOFtoCNF_Y_127(X_1621))),bind(X_1564,$fot(skolemFOFtoCNF_Y_127(X_1621)))]]) ).
cnf(refute_11_231,plain,
( ~ definitionFOFtoCNF_26(X_1619,skolemFOFtoCNF_Y_127(X_1619))
| ~ r(X_1619)
| ~ r(skolemFOFtoCNF_Y_127(X_1619)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_1619)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_1619)))]]) ).
cnf(refute_11_232,plain,
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_128(X0))
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X)) ),
inference(canonicalize,[],[normalize_11_61]) ).
cnf(refute_11_233,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,Y)
| definitionFOFtoCNF_20
| s(Y0) ),
inference(canonicalize,[],[normalize_11_62]) ).
cnf(refute_11_234,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,X_1524)
| definitionFOFtoCNF_20
| s(Y0) ),
inference(subst,[],[refute_11_233:[bind(Y,$fot(X_1524))]]) ).
cnf(refute_11_235,plain,
( ~ q(skolemFOFtoCNF_X_131)
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,Y)
| q(Y) ),
inference(subst,[],[refute_11_76:[bind(X,$fot(skolemFOFtoCNF_X_131))]]) ).
cnf(refute_11_236,plain,
( definitionFOFtoCNF_23
| q(X_1277)
| r(skolemFOFtoCNF_Y_127(X_1521)) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_1277)),bind(Y1,$fot(skolemFOFtoCNF_Y_127(X_1521))),bind(X_1278,$fot(skolemFOFtoCNF_Y_127(X_1521)))]]) ).
cnf(refute_11_237,plain,
( ~ definitionFOFtoCNF_26(X_1520,skolemFOFtoCNF_Y_127(X_1520))
| ~ r(X_1520)
| ~ r(skolemFOFtoCNF_Y_127(X_1520)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_1520)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_1520)))]]) ).
cnf(refute_11_238,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| s(Y0) ),
inference(subst,[],[refute_11_233:[bind(Y,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_239,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_82:[bind(X,$fot(skolemFOFtoCNF_X_131))]]) ).
cnf(refute_11_240,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_X_131)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,skolemFOFtoCNF_X_126) )],[refute_11_239,refute_11_238]) ).
cnf(refute_11_241,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_X_131)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_240]) ).
cnf(refute_11_242,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_X_131)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_241:[bind(Y0,$fot(skolemFOFtoCNF_Y_128(X0)))]]) ).
cnf(refute_11_243,plain,
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_242,refute_11_232]) ).
cnf(refute_11_244,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1517,skolemFOFtoCNF_Y_127(X_1517))
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_243:[bind(X,$fot(X_1517)),bind(X0,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_245,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1517,skolemFOFtoCNF_Y_127(X_1517))
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_141,refute_11_244]) ).
cnf(refute_11_246,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1519,skolemFOFtoCNF_Y_127(X_1519))
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_245:[bind(X_1517,$fot(X_1519))]]) ).
cnf(refute_11_247,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1519,skolemFOFtoCNF_Y_127(X_1519))
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_246]) ).
cnf(refute_11_248,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1520,skolemFOFtoCNF_Y_127(X_1520))
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_247:[bind(X_1519,$fot(X_1520))]]) ).
cnf(refute_11_249,plain,
( ~ r(X_1520)
| ~ r(skolemFOFtoCNF_Y_127(X_1520))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1520,skolemFOFtoCNF_Y_127(X_1520)) )],[refute_11_248,refute_11_237]) ).
cnf(refute_11_250,plain,
( ~ r(X_1521)
| ~ r(skolemFOFtoCNF_Y_127(X_1521))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_249:[bind(X_1520,$fot(X_1521))]]) ).
cnf(refute_11_251,plain,
( ~ r(X_1521)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1277)
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_1521)) )],[refute_11_236,refute_11_250]) ).
cnf(refute_11_252,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1522)
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_251:[bind(X_1277,$fot(X_1522)),bind(X_1521,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_253,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1522)
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_51,refute_11_252]) ).
cnf(refute_11_254,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_253:[bind(X_1522,$fot(skolemFOFtoCNF_X_131))]]) ).
cnf(refute_11_255,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,Y)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_131) )],[refute_11_254,refute_11_235]) ).
cnf(refute_11_256,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,X_1524)
| q(X_1524) ),
inference(subst,[],[refute_11_255:[bind(Y,$fot(X_1524))]]) ).
cnf(refute_11_257,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1524)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,X_1524) )],[refute_11_256,refute_11_234]) ).
cnf(refute_11_258,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1527)
| s(X_1526) ),
inference(subst,[],[refute_11_257:[bind(Y0,$fot(X_1526)),bind(X_1524,$fot(X_1527))]]) ).
cnf(refute_11_259,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1527)
| s(X_1526) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_258]) ).
cnf(refute_11_260,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1529)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_259:[bind(X_1526,$fot(skolemFOFtoCNF_Y_128(X0))),bind(X_1527,$fot(X_1529))]]) ).
cnf(refute_11_261,plain,
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| q(X_1529) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_260,refute_11_232]) ).
cnf(refute_11_262,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1614,skolemFOFtoCNF_Y_127(X_1614))
| q(X_1616) ),
inference(subst,[],[refute_11_261:[bind(X,$fot(X_1614)),bind(X0,$fot(skolemFOFtoCNF_X_127)),bind(X_1529,$fot(X_1616))]]) ).
cnf(refute_11_263,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1614,skolemFOFtoCNF_Y_127(X_1614))
| q(X_1616) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_141,refute_11_262]) ).
cnf(refute_11_264,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1617,skolemFOFtoCNF_Y_127(X_1617))
| q(X_1618) ),
inference(subst,[],[refute_11_263:[bind(X_1614,$fot(X_1617)),bind(X_1616,$fot(X_1618))]]) ).
cnf(refute_11_265,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1617,skolemFOFtoCNF_Y_127(X_1617))
| q(X_1618) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_175,refute_11_264]) ).
cnf(refute_11_266,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1619,skolemFOFtoCNF_Y_127(X_1619))
| q(X_1620) ),
inference(subst,[],[refute_11_265:[bind(X_1617,$fot(X_1619)),bind(X_1618,$fot(X_1620))]]) ).
cnf(refute_11_267,plain,
( ~ r(X_1619)
| ~ r(skolemFOFtoCNF_Y_127(X_1619))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1620) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1619,skolemFOFtoCNF_Y_127(X_1619)) )],[refute_11_266,refute_11_231]) ).
cnf(refute_11_268,plain,
( ~ r(X_1621)
| ~ r(skolemFOFtoCNF_Y_127(X_1621))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1622) ),
inference(subst,[],[refute_11_267:[bind(X_1619,$fot(X_1621)),bind(X_1620,$fot(X_1622))]]) ).
cnf(refute_11_269,plain,
( ~ r(X_1621)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1622) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_1621)) )],[refute_11_230,refute_11_268]) ).
cnf(refute_11_270,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1624) ),
inference(subst,[],[refute_11_269:[bind(X_1621,$fot(skolemFOFtoCNF_X_118)),bind(X_1622,$fot(X_1624))]]) ).
cnf(refute_11_271,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(X_1624) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_51,refute_11_270]) ).
cnf(refute_11_272,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| q(skolemFOFtoCNF_Y_112) ),
inference(subst,[],[refute_11_271:[bind(X_1624,$fot(skolemFOFtoCNF_Y_112))]]) ).
cnf(refute_11_273,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_112) )],[refute_11_272,refute_11_229]) ).
cnf(refute_11_274,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_Y_129(X)) ),
inference(subst,[],[refute_11_273:[bind(Y,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_275,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_274,refute_11_47]) ).
cnf(refute_11_276,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_275:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_277,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_72,refute_11_276]) ).
cnf(refute_11_278,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X)
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_11_63]) ).
cnf(refute_11_279,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_1671)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_1671))]]) ).
cnf(refute_11_280,plain,
( ~ definitionFOFtoCNF_23
| ~ s(skolemFOFtoCNF_Y_128(X_1667))
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_1667)))]]) ).
cnf(refute_11_281,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(canonicalize,[],[normalize_11_64]) ).
cnf(refute_11_282,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_1457)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_1457))]]) ).
cnf(refute_11_283,plain,
( ~ q(X_1450)
| definitionFOFtoCNF_22
| p(X)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_21:[bind(X_1210,$fot(X_1450))]]) ).
cnf(refute_11_284,plain,
( ~ q(skolemFOFtoCNF_Y_124(X_1283))
| definitionFOFtoCNF_22
| p(X)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_21:[bind(X_1210,$fot(skolemFOFtoCNF_Y_124(X_1283)))]]) ).
cnf(refute_11_285,plain,
( ~ definitionFOFtoCNF_25(X_1230,skolemFOFtoCNF_Y_124(X_1230))
| q(X_1230)
| q(skolemFOFtoCNF_Y_124(X_1230)) ),
inference(subst,[],[refute_11_30:[bind(X,$fot(X_1230)),bind(Y,$fot(skolemFOFtoCNF_Y_124(X_1230)))]]) ).
cnf(refute_11_286,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1230)
| q(skolemFOFtoCNF_Y_124(X_1230))
| s(X_1231) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_1230,skolemFOFtoCNF_Y_124(X_1230)) )],[refute_11_98,refute_11_285]) ).
cnf(refute_11_287,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1283)
| q(skolemFOFtoCNF_Y_124(X_1283))
| s(X_1284) ),
inference(subst,[],[refute_11_286:[bind(X_1230,$fot(X_1283)),bind(X_1231,$fot(X_1284))]]) ).
cnf(refute_11_288,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| q(X_1283)
| r(skolemFOFtoCNF_X_118)
| s(X_1284) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_124(X_1283)) )],[refute_11_287,refute_11_284]) ).
cnf(refute_11_289,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_1449)
| q(X_1450)
| r(skolemFOFtoCNF_X_118)
| s(X_1451) ),
inference(subst,[],[refute_11_288:[bind(X,$fot(X_1449)),bind(X_1283,$fot(X_1450)),bind(X_1284,$fot(X_1451))]]) ).
cnf(refute_11_290,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| p(X_1449)
| r(skolemFOFtoCNF_X_118)
| s(X_1451) ),
inference(resolve,[$cnf( q(X_1450) )],[refute_11_289,refute_11_283]) ).
cnf(refute_11_291,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_1455)
| r(skolemFOFtoCNF_X_118)
| s(X_1451) ),
inference(subst,[],[refute_11_290:[bind(X,$fot(X_1455)),bind(X_1449,$fot(X_1455))]]) ).
cnf(refute_11_292,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| r(skolemFOFtoCNF_X_118)
| s(X_1453) ),
inference(subst,[],[refute_11_290:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1449,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1451,$fot(X_1453))]]) ).
cnf(refute_11_293,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_118)
| s(X_1453) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_292,refute_11_47]) ).
cnf(refute_11_294,plain,
( ~ p(X_1455)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_118)
| s(X_1456) ),
inference(subst,[],[refute_11_293:[bind(X,$fot(X_1455)),bind(X_1453,$fot(X_1456))]]) ).
cnf(refute_11_295,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_118)
| s(X_1451)
| s(X_1456) ),
inference(resolve,[$cnf( p(X_1455) )],[refute_11_291,refute_11_294]) ).
cnf(refute_11_296,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_118)
| s(X_1457) ),
inference(subst,[],[refute_11_295:[bind(X_1451,$fot(X_1457)),bind(X_1456,$fot(X_1457))]]) ).
cnf(refute_11_297,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( s(X_1457) )],[refute_11_296,refute_11_282]) ).
cnf(refute_11_298,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_297]) ).
cnf(refute_11_299,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_298,refute_11_5]) ).
cnf(refute_11_300,plain,
( ~ q(X1)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_298,refute_11_18]) ).
cnf(refute_11_301,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_119) ),
inference(subst,[],[refute_11_300:[bind(X1,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_302,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_299,refute_11_301]) ).
cnf(refute_11_303,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_119) ),
inference(subst,[],[refute_11_302:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_304,plain,
( ~ p(X)
| ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_2:[bind(X0,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_305,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_298,refute_11_304]) ).
cnf(refute_11_306,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_305:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_307,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_303,refute_11_306]) ).
cnf(refute_11_308,plain,
( ~ definitionFOFtoCNF_25(X_1628,skolemFOFtoCNF_Y_124(X_1628))
| ~ q(X_1628)
| ~ q(skolemFOFtoCNF_Y_124(X_1628)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_1628)),bind(Y,$fot(skolemFOFtoCNF_Y_124(X_1628)))]]) ).
cnf(refute_11_309,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_1231)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_1231))]]) ).
cnf(refute_11_310,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_1230,skolemFOFtoCNF_Y_124(X_1230)) ),
inference(resolve,[$cnf( s(X_1231) )],[refute_11_98,refute_11_309]) ).
cnf(refute_11_311,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_1230,skolemFOFtoCNF_Y_124(X_1230)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_310]) ).
cnf(refute_11_312,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_1628,skolemFOFtoCNF_Y_124(X_1628)) ),
inference(subst,[],[refute_11_311:[bind(X_1230,$fot(X_1628))]]) ).
cnf(refute_11_313,plain,
( ~ q(X_1628)
| ~ q(skolemFOFtoCNF_Y_124(X_1628))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_1628,skolemFOFtoCNF_Y_124(X_1628)) )],[refute_11_312,refute_11_308]) ).
cnf(refute_11_314,plain,
( ~ definitionFOFtoCNF_23
| ~ r(skolemFOFtoCNF_Y_116)
| p(Y)
| q(Y0) ),
inference(canonicalize,[],[normalize_11_65]) ).
cnf(refute_11_315,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_Y_124(skolemFOFtoCNF_X_128)) ),
inference(subst,[],[refute_11_311:[bind(X_1230,$fot(skolemFOFtoCNF_X_128))]]) ).
cnf(refute_11_316,plain,
( ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_Y_124(skolemFOFtoCNF_X_128)) )],[refute_11_315,refute_11_106]) ).
cnf(refute_11_317,plain,
( ~ definitionFOFtoCNF_23
| ~ s(skolemFOFtoCNF_Y_128(X_1647))
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_1647)))]]) ).
cnf(refute_11_318,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| definitionFOFtoCNF_24
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(canonicalize,[],[normalize_11_66]) ).
cnf(refute_11_319,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1642)
| definitionFOFtoCNF_24
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_318:[bind(Y,$fot(X_1642))]]) ).
cnf(refute_11_320,plain,
( ~ definitionFOFtoCNF_23
| ~ s(skolemFOFtoCNF_Y_128(X_1638))
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_1638)))]]) ).
cnf(refute_11_321,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_24
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_318:[bind(Y,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_322,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_X_118)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_298,refute_11_118]) ).
cnf(refute_11_323,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_322:[bind(X,$fot(skolemFOFtoCNF_X_134))]]) ).
cnf(refute_11_324,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118) )],[refute_11_323,refute_11_321]) ).
cnf(refute_11_325,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X_1638)
| s(skolemFOFtoCNF_Y_128(X_1638)) ),
inference(subst,[],[refute_11_324:[bind(X0,$fot(X_1638))]]) ).
cnf(refute_11_326,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X_1638) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_1638)) )],[refute_11_325,refute_11_320]) ).
cnf(refute_11_327,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X_1639) ),
inference(subst,[],[refute_11_326:[bind(X_1638,$fot(X_1639))]]) ).
cnf(refute_11_328,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X_1639) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_327]) ).
cnf(refute_11_329,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_328:[bind(X_1639,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_330,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_329,refute_11_316]) ).
cnf(refute_11_331,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_134) )],[refute_11_330,refute_11_116]) ).
cnf(refute_11_332,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1642)
| r(X_1642) ),
inference(subst,[],[refute_11_331:[bind(Y,$fot(X_1642))]]) ).
cnf(refute_11_333,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_1642)
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1642) )],[refute_11_332,refute_11_319]) ).
cnf(refute_11_334,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_1648)
| s(X_1647)
| s(skolemFOFtoCNF_Y_128(X_1647)) ),
inference(subst,[],[refute_11_333:[bind(X0,$fot(X_1647)),bind(X_1642,$fot(X_1648))]]) ).
cnf(refute_11_335,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_1648)
| s(X_1647) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_1647)) )],[refute_11_334,refute_11_317]) ).
cnf(refute_11_336,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_1650)
| s(X_1649) ),
inference(subst,[],[refute_11_335:[bind(X_1647,$fot(X_1649)),bind(X_1648,$fot(X_1650))]]) ).
cnf(refute_11_337,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_1650)
| s(X_1649) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_336]) ).
cnf(refute_11_338,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_1652)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_337:[bind(X_1649,$fot(skolemFOFtoCNF_Y_123)),bind(X_1650,$fot(X_1652))]]) ).
cnf(refute_11_339,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_1652) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_338,refute_11_316]) ).
cnf(refute_11_340,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_339:[bind(X_1652,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_341,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(Y)
| q(Y0) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_340,refute_11_314]) ).
cnf(refute_11_342,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_1654)
| q(X_1655) ),
inference(subst,[],[refute_11_341:[bind(Y,$fot(X_1654)),bind(Y0,$fot(X_1655))]]) ).
cnf(refute_11_343,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_1654)
| q(X_1655) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_342]) ).
cnf(refute_11_344,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(X_1657) ),
inference(subst,[],[refute_11_343:[bind(X_1654,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1655,$fot(X_1657))]]) ).
cnf(refute_11_345,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_1657) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_344,refute_11_47]) ).
cnf(refute_11_346,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_1660) ),
inference(subst,[],[refute_11_345:[bind(X,$fot(skolemFOFtoCNF_X_119)),bind(X_1657,$fot(X_1660))]]) ).
cnf(refute_11_347,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_1660) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_303,refute_11_346]) ).
cnf(refute_11_348,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_124(X_1628)) ),
inference(subst,[],[refute_11_347:[bind(X_1660,$fot(skolemFOFtoCNF_Y_124(X_1628)))]]) ).
cnf(refute_11_349,plain,
( ~ q(X_1628)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_124(X_1628)) )],[refute_11_348,refute_11_313]) ).
cnf(refute_11_350,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_349:[bind(X_1628,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_351,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_307,refute_11_350]) ).
cnf(refute_11_352,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_351,refute_11_281]) ).
cnf(refute_11_353,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_1666,skolemFOFtoCNF_Y_127(X_1666))
| s(X_1667)
| s(skolemFOFtoCNF_Y_128(X_1667)) ),
inference(subst,[],[refute_11_352:[bind(X,$fot(X_1666)),bind(X0,$fot(X_1667))]]) ).
cnf(refute_11_354,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_1666,skolemFOFtoCNF_Y_127(X_1666))
| s(X_1667) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_1667)) )],[refute_11_353,refute_11_280]) ).
cnf(refute_11_355,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_1668,skolemFOFtoCNF_Y_127(X_1668))
| s(X_1669) ),
inference(subst,[],[refute_11_354:[bind(X_1666,$fot(X_1668)),bind(X_1667,$fot(X_1669))]]) ).
cnf(refute_11_356,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_1668,skolemFOFtoCNF_Y_127(X_1668))
| s(X_1669) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_355]) ).
cnf(refute_11_357,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_1670,skolemFOFtoCNF_Y_127(X_1670))
| s(X_1671) ),
inference(subst,[],[refute_11_356:[bind(X_1668,$fot(X_1670)),bind(X_1669,$fot(X_1671))]]) ).
cnf(refute_11_358,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_1670,skolemFOFtoCNF_Y_127(X_1670)) ),
inference(resolve,[$cnf( s(X_1671) )],[refute_11_357,refute_11_279]) ).
cnf(refute_11_359,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_1672,skolemFOFtoCNF_Y_127(X_1672)) ),
inference(subst,[],[refute_11_358:[bind(X_1670,$fot(X_1672))]]) ).
cnf(refute_11_360,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_1672,skolemFOFtoCNF_Y_127(X_1672)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_359]) ).
cnf(refute_11_361,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_1673,skolemFOFtoCNF_Y_127(X_1673)) ),
inference(subst,[],[refute_11_360:[bind(X_1672,$fot(X_1673))]]) ).
cnf(refute_11_362,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| r(X_1673)
| r(skolemFOFtoCNF_Y_127(X_1673)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1673,skolemFOFtoCNF_Y_127(X_1673)) )],[refute_11_361,refute_11_90]) ).
cnf(refute_11_363,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| r(X_1675)
| r(skolemFOFtoCNF_Y_127(X_1675)) ),
inference(subst,[],[refute_11_362:[bind(X_1673,$fot(X_1675))]]) ).
cnf(refute_11_364,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126)
| r(X_1675) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_1675)) )],[refute_11_363,refute_11_89]) ).
cnf(refute_11_365,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(X_1678)
| q(skolemFOFtoCNF_X_126)
| r(X_1679) ),
inference(subst,[],[refute_11_364:[bind(X,$fot(X_1678)),bind(X_1675,$fot(X_1679))]]) ).
cnf(refute_11_366,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(X)
| p(X_1678)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(X_1679) )],[refute_11_365,refute_11_88]) ).
cnf(refute_11_367,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(X_1680)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_366:[bind(X,$fot(X_1680)),bind(X_1678,$fot(X_1680))]]) ).
cnf(refute_11_368,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(X)
| p(X_1680)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_367,refute_11_87]) ).
cnf(refute_11_369,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(X_1683)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_368:[bind(X,$fot(X_1683)),bind(X_1680,$fot(X_1683))]]) ).
cnf(refute_11_370,plain,
( ~ p(X)
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_19:[bind(X1,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_371,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(X_1681)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_366:[bind(X,$fot(X_1681)),bind(X_1678,$fot(X_1681))]]) ).
cnf(refute_11_372,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_366:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1678,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_373,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_372,refute_11_47]) ).
cnf(refute_11_374,plain,
( ~ p(X_1681)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_373:[bind(X,$fot(X_1681))]]) ).
cnf(refute_11_375,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(X_1681) )],[refute_11_371,refute_11_374]) ).
cnf(refute_11_376,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_375,refute_11_370]) ).
cnf(refute_11_377,plain,
( ~ p(X_1683)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_376:[bind(X,$fot(X_1683))]]) ).
cnf(refute_11_378,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( p(X_1683) )],[refute_11_369,refute_11_377]) ).
cnf(refute_11_379,plain,
( ~ definitionFOFtoCNF_26(X_1673,skolemFOFtoCNF_Y_127(X_1673))
| ~ r(X_1673)
| ~ r(skolemFOFtoCNF_Y_127(X_1673)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_1673)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_1673)))]]) ).
cnf(refute_11_380,plain,
( ~ r(X_1673)
| ~ r(skolemFOFtoCNF_Y_127(X_1673))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1673,skolemFOFtoCNF_Y_127(X_1673)) )],[refute_11_361,refute_11_379]) ).
cnf(refute_11_381,plain,
( ~ q(X1)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_378,refute_11_18]) ).
cnf(refute_11_382,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) ),
inference(subst,[],[refute_11_381:[bind(X1,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_383,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_375,refute_11_382]) ).
cnf(refute_11_384,plain,
( ~ definitionFOFtoCNF_23
| ~ q(skolemFOFtoCNF_Y_119)
| p(Y)
| r(Y1) ),
inference(canonicalize,[],[normalize_11_67]) ).
cnf(refute_11_385,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_1695)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_1695))]]) ).
cnf(refute_11_386,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,X_1691)
| definitionFOFtoCNF_20
| s(Y0) ),
inference(subst,[],[refute_11_233:[bind(Y,$fot(X_1691))]]) ).
cnf(refute_11_387,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_1690)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_1690))]]) ).
cnf(refute_11_388,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_X_126)
| q(X) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_375,refute_11_81]) ).
cnf(refute_11_389,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_388:[bind(X,$fot(skolemFOFtoCNF_X_131))]]) ).
cnf(refute_11_390,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_131)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,skolemFOFtoCNF_X_126) )],[refute_11_389,refute_11_238]) ).
cnf(refute_11_391,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_131)
| s(X_1689) ),
inference(subst,[],[refute_11_390:[bind(Y0,$fot(X_1689))]]) ).
cnf(refute_11_392,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_131)
| s(X_1689) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_351,refute_11_391]) ).
cnf(refute_11_393,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_131)
| s(X_1690) ),
inference(subst,[],[refute_11_392:[bind(X_1689,$fot(X_1690))]]) ).
cnf(refute_11_394,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( s(X_1690) )],[refute_11_393,refute_11_387]) ).
cnf(refute_11_395,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_394]) ).
cnf(refute_11_396,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,Y)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_131) )],[refute_11_395,refute_11_235]) ).
cnf(refute_11_397,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,X_1691)
| q(X_1691) ),
inference(subst,[],[refute_11_396:[bind(Y,$fot(X_1691))]]) ).
cnf(refute_11_398,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(X_1691)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,X_1691) )],[refute_11_397,refute_11_386]) ).
cnf(refute_11_399,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(X_1694)
| s(X_1693) ),
inference(subst,[],[refute_11_398:[bind(Y0,$fot(X_1693)),bind(X_1691,$fot(X_1694))]]) ).
cnf(refute_11_400,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(X_1694)
| s(X_1693) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_351,refute_11_399]) ).
cnf(refute_11_401,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(X_1696)
| s(X_1695) ),
inference(subst,[],[refute_11_400:[bind(X_1693,$fot(X_1695)),bind(X_1694,$fot(X_1696))]]) ).
cnf(refute_11_402,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(X_1696) ),
inference(resolve,[$cnf( s(X_1695) )],[refute_11_401,refute_11_385]) ).
cnf(refute_11_403,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(X_1697) ),
inference(subst,[],[refute_11_402:[bind(X_1696,$fot(X_1697))]]) ).
cnf(refute_11_404,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(X_1697) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_403]) ).
cnf(refute_11_405,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_Y_119) ),
inference(subst,[],[refute_11_404:[bind(X_1697,$fot(skolemFOFtoCNF_Y_119))]]) ).
cnf(refute_11_406,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(Y)
| r(Y1) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_119) )],[refute_11_405,refute_11_384]) ).
cnf(refute_11_407,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(X_1699)
| r(X_1700) ),
inference(subst,[],[refute_11_406:[bind(Y,$fot(X_1699)),bind(Y1,$fot(X_1700))]]) ).
cnf(refute_11_408,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(X_1699)
| r(X_1700) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_277,refute_11_407]) ).
cnf(refute_11_409,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_Y_129(X))
| r(X_1702) ),
inference(subst,[],[refute_11_408:[bind(X_1699,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1700,$fot(X_1702))]]) ).
cnf(refute_11_410,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| r(X_1702) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_409,refute_11_47]) ).
cnf(refute_11_411,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| r(X_1704) ),
inference(subst,[],[refute_11_410:[bind(X,$fot(skolemFOFtoCNF_X_119)),bind(X_1702,$fot(X_1704))]]) ).
cnf(refute_11_412,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| r(X_1704) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_383,refute_11_411]) ).
cnf(refute_11_413,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_Y_127(X_1673)) ),
inference(subst,[],[refute_11_412:[bind(X_1704,$fot(skolemFOFtoCNF_Y_127(X_1673)))]]) ).
cnf(refute_11_414,plain,
( ~ r(X_1673)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_1673)) )],[refute_11_413,refute_11_380]) ).
cnf(refute_11_415,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22 ),
inference(subst,[],[refute_11_414:[bind(X_1673,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_416,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_378,refute_11_415]) ).
cnf(refute_11_417,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_416,refute_11_86]) ).
cnf(refute_11_418,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_417,refute_11_85]) ).
cnf(refute_11_419,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ q(X1)
| ~ r(X0) ),
inference(canonicalize,[],[normalize_11_68]) ).
cnf(refute_11_420,plain,
( ~ definitionFOFtoCNF_22
| ~ p(skolemFOFtoCNF_Y_129(X))
| ~ q(X_1248)
| ~ r(X_1247) ),
inference(subst,[],[refute_11_419:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X0,$fot(X_1247)),bind(X1,$fot(X_1248))]]) ).
cnf(refute_11_421,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| ~ r(X_1247)
| p(X) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1,refute_11_420]) ).
cnf(refute_11_422,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| ~ r(skolemFOFtoCNF_X_121)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1247,$fot(skolemFOFtoCNF_X_121))]]) ).
cnf(refute_11_423,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X1)
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(canonicalize,[],[normalize_11_69]) ).
cnf(refute_11_424,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1279)
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(subst,[],[refute_11_423:[bind(X1,$fot(X_1279))]]) ).
cnf(refute_11_425,plain,
( definitionFOFtoCNF_23
| q(X_1279)
| r(X_1280) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_1279)),bind(Y1,$fot(X_1280)),bind(X_1277,$fot(X_1279)),bind(X_1278,$fot(X_1280))]]) ).
cnf(refute_11_426,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_120)
| r(X_1280)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( q(X_1279) )],[refute_11_425,refute_11_424]) ).
cnf(refute_11_427,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_120)
| r(X_1280)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_426]) ).
cnf(refute_11_428,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(subst,[],[refute_11_427:[bind(X_1280,$fot(skolemFOFtoCNF_X_121))]]) ).
cnf(refute_11_429,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_121) )],[refute_11_428,refute_11_422]) ).
cnf(refute_11_430,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1780)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_429:[bind(X_1248,$fot(X_1780))]]) ).
cnf(refute_11_431,plain,
( definitionFOFtoCNF_23
| q(X_1277)
| r(X_1779) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_1277)),bind(Y1,$fot(X_1779)),bind(X_1278,$fot(X_1779))]]) ).
cnf(refute_11_432,plain,
( definitionFOFtoCNF_23
| q(X_1277)
| r(skolemFOFtoCNF_Y_127(X_1774)) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_1277)),bind(Y1,$fot(skolemFOFtoCNF_Y_127(X_1774))),bind(X_1278,$fot(skolemFOFtoCNF_Y_127(X_1774)))]]) ).
cnf(refute_11_433,plain,
( ~ definitionFOFtoCNF_26(X_1773,skolemFOFtoCNF_Y_127(X_1773))
| ~ r(X_1773)
| ~ r(skolemFOFtoCNF_Y_127(X_1773)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_1773)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_1773)))]]) ).
cnf(refute_11_434,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X_1771)
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(X_1771))]]) ).
cnf(refute_11_435,plain,
( ~ definitionFOFtoCNF_21
| ~ s(skolemFOFtoCNF_Y_128(X_1767))
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_1767)))]]) ).
cnf(refute_11_436,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X)
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) ),
inference(canonicalize,[],[normalize_11_70]) ).
cnf(refute_11_437,plain,
( ~ definitionFOFtoCNF_22
| ~ r(skolemFOFtoCNF_X_124)
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_436:[bind(X,$fot(skolemFOFtoCNF_X_124))]]) ).
cnf(refute_11_438,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(canonicalize,[],[normalize_11_71]) ).
cnf(refute_11_439,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X_1709)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(subst,[],[refute_11_438:[bind(X,$fot(X_1709))]]) ).
cnf(refute_11_440,plain,
( ~ definitionFOFtoCNF_22
| ~ p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(subst,[],[refute_11_438:[bind(X,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_441,plain,
( ~ definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1,refute_11_440]) ).
cnf(refute_11_442,plain,
( definitionFOFtoCNF_20
| p(X)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_441]) ).
cnf(refute_11_443,plain,
( definitionFOFtoCNF_20
| p(X_1709)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(subst,[],[refute_11_442:[bind(X,$fot(X_1709))]]) ).
cnf(refute_11_444,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(resolve,[$cnf( p(X_1709) )],[refute_11_443,refute_11_439]) ).
cnf(refute_11_445,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_444]) ).
cnf(refute_11_446,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_124) )],[refute_11_445,refute_11_437]) ).
cnf(refute_11_447,plain,
( definitionFOFtoCNF_20
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_446]) ).
cnf(refute_11_448,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ q(X1)
| ~ r(X_1707) ),
inference(subst,[],[refute_11_419:[bind(X0,$fot(X_1707))]]) ).
cnf(refute_11_449,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X_1310)
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(X_1310))]]) ).
cnf(refute_11_450,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1309)
| s(X_1310) ),
inference(subst,[],[refute_11_103:[bind(X_1278,$fot(X_1309)),bind(X_1306,$fot(X_1309)),bind(X_1308,$fot(X_1310))]]) ).
cnf(refute_11_451,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1309) ),
inference(resolve,[$cnf( s(X_1310) )],[refute_11_450,refute_11_449]) ).
cnf(refute_11_452,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1309) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_417,refute_11_451]) ).
cnf(refute_11_453,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1707) ),
inference(subst,[],[refute_11_452:[bind(X_1309,$fot(X_1707))]]) ).
cnf(refute_11_454,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ q(X1)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( r(X_1707) )],[refute_11_453,refute_11_448]) ).
cnf(refute_11_455,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X_1729)
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_454:[bind(X,$fot(X_1729)),bind(X1,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_456,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X_1729)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_447,refute_11_455]) ).
cnf(refute_11_457,plain,
( ~ definitionFOFtoCNF_22
| ~ p(skolemFOFtoCNF_Y_129(X))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125) ),
inference(subst,[],[refute_11_456:[bind(X_1729,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_458,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X)
| p(skolemFOFtoCNF_X_125) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1,refute_11_457]) ).
cnf(refute_11_459,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1732)
| p(skolemFOFtoCNF_X_125) ),
inference(subst,[],[refute_11_458:[bind(X,$fot(X_1732))]]) ).
cnf(refute_11_460,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1732)
| p(skolemFOFtoCNF_X_125) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_459]) ).
cnf(refute_11_461,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125) ),
inference(subst,[],[refute_11_460:[bind(X_1732,$fot(skolemFOFtoCNF_X_125))]]) ).
cnf(refute_11_462,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_452:[bind(X_1309,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_463,plain,
( ~ q(skolemFOFtoCNF_Y_112)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_462,refute_11_91]) ).
cnf(refute_11_464,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X_1284)
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(X_1284))]]) ).
cnf(refute_11_465,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1283)
| q(skolemFOFtoCNF_Y_124(X_1283)) ),
inference(resolve,[$cnf( s(X_1284) )],[refute_11_287,refute_11_464]) ).
cnf(refute_11_466,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1283)
| q(skolemFOFtoCNF_Y_124(X_1283)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_417,refute_11_465]) ).
cnf(refute_11_467,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| ~ r(X_1707)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1247,$fot(X_1707))]]) ).
cnf(refute_11_468,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X) ),
inference(resolve,[$cnf( r(X_1707) )],[refute_11_453,refute_11_467]) ).
cnf(refute_11_469,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_124(X_1283))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1733) ),
inference(subst,[],[refute_11_468:[bind(X,$fot(X_1733)),bind(X_1248,$fot(skolemFOFtoCNF_Y_124(X_1283)))]]) ).
cnf(refute_11_470,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1733)
| q(X_1283) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_124(X_1283)) )],[refute_11_466,refute_11_469]) ).
cnf(refute_11_471,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1736)
| q(X_1735) ),
inference(subst,[],[refute_11_470:[bind(X_1283,$fot(X_1735)),bind(X_1733,$fot(X_1736))]]) ).
cnf(refute_11_472,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1736)
| q(X_1735) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_471]) ).
cnf(refute_11_473,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1738)
| q(skolemFOFtoCNF_Y_112) ),
inference(subst,[],[refute_11_472:[bind(X_1735,$fot(skolemFOFtoCNF_Y_112)),bind(X_1736,$fot(X_1738))]]) ).
cnf(refute_11_474,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(Y)
| p(X_1738) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_112) )],[refute_11_473,refute_11_463]) ).
cnf(refute_11_475,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X)) ),
inference(subst,[],[refute_11_474:[bind(Y,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1738,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_476,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_475,refute_11_47]) ).
cnf(refute_11_477,plain,
( ~ p(skolemFOFtoCNF_X_125)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_476:[bind(X,$fot(skolemFOFtoCNF_X_125))]]) ).
cnf(refute_11_478,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_125) )],[refute_11_461,refute_11_477]) ).
cnf(refute_11_479,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_478,refute_11_281]) ).
cnf(refute_11_480,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1766,skolemFOFtoCNF_Y_127(X_1766))
| s(X_1767)
| s(skolemFOFtoCNF_Y_128(X_1767)) ),
inference(subst,[],[refute_11_479:[bind(X,$fot(X_1766)),bind(X0,$fot(X_1767))]]) ).
cnf(refute_11_481,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1766,skolemFOFtoCNF_Y_127(X_1766))
| s(X_1767) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_1767)) )],[refute_11_480,refute_11_435]) ).
cnf(refute_11_482,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1768,skolemFOFtoCNF_Y_127(X_1768))
| s(X_1769) ),
inference(subst,[],[refute_11_481:[bind(X_1766,$fot(X_1768)),bind(X_1767,$fot(X_1769))]]) ).
cnf(refute_11_483,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1768,skolemFOFtoCNF_Y_127(X_1768))
| s(X_1769) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_417,refute_11_482]) ).
cnf(refute_11_484,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1770,skolemFOFtoCNF_Y_127(X_1770))
| s(X_1771) ),
inference(subst,[],[refute_11_483:[bind(X_1768,$fot(X_1770)),bind(X_1769,$fot(X_1771))]]) ).
cnf(refute_11_485,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1770,skolemFOFtoCNF_Y_127(X_1770)) ),
inference(resolve,[$cnf( s(X_1771) )],[refute_11_484,refute_11_434]) ).
cnf(refute_11_486,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1772,skolemFOFtoCNF_Y_127(X_1772)) ),
inference(subst,[],[refute_11_485:[bind(X_1770,$fot(X_1772))]]) ).
cnf(refute_11_487,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1772,skolemFOFtoCNF_Y_127(X_1772)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_417,refute_11_486]) ).
cnf(refute_11_488,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_1773,skolemFOFtoCNF_Y_127(X_1773)) ),
inference(subst,[],[refute_11_487:[bind(X_1772,$fot(X_1773))]]) ).
cnf(refute_11_489,plain,
( ~ r(X_1773)
| ~ r(skolemFOFtoCNF_Y_127(X_1773))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1773,skolemFOFtoCNF_Y_127(X_1773)) )],[refute_11_488,refute_11_433]) ).
cnf(refute_11_490,plain,
( ~ r(X_1774)
| ~ r(skolemFOFtoCNF_Y_127(X_1774))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_489:[bind(X_1773,$fot(X_1774))]]) ).
cnf(refute_11_491,plain,
( ~ r(X_1774)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| q(X_1277) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_1774)) )],[refute_11_432,refute_11_490]) ).
cnf(refute_11_492,plain,
( ~ r(X_1779)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| q(X_1778) ),
inference(subst,[],[refute_11_491:[bind(X_1277,$fot(X_1778)),bind(X_1774,$fot(X_1779))]]) ).
cnf(refute_11_493,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| q(X_1277)
| q(X_1778) ),
inference(resolve,[$cnf( r(X_1779) )],[refute_11_431,refute_11_492]) ).
cnf(refute_11_494,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| q(X_1780) ),
inference(subst,[],[refute_11_493:[bind(X_1277,$fot(X_1780)),bind(X_1778,$fot(X_1780))]]) ).
cnf(refute_11_495,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( q(X_1780) )],[refute_11_494,refute_11_430]) ).
cnf(refute_11_496,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X_1782)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_495:[bind(X,$fot(X_1782))]]) ).
cnf(refute_11_497,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X_1782)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_496]) ).
cnf(refute_11_498,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_497:[bind(X_1782,$fot(skolemFOFtoCNF_X_120))]]) ).
cnf(refute_11_499,plain,
( ~ definitionFOFtoCNF_26(X_1773,skolemFOFtoCNF_Y_127(X_1773))
| r(X_1773)
| r(skolemFOFtoCNF_Y_127(X_1773)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_1773)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_1773)))]]) ).
cnf(refute_11_500,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| r(X_1773)
| r(skolemFOFtoCNF_Y_127(X_1773)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1773,skolemFOFtoCNF_Y_127(X_1773)) )],[refute_11_488,refute_11_499]) ).
cnf(refute_11_501,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1780)
| ~ r(X_1247)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1248,$fot(X_1780))]]) ).
cnf(refute_11_502,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1247)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X) ),
inference(resolve,[$cnf( q(X_1780) )],[refute_11_494,refute_11_501]) ).
cnf(refute_11_503,plain,
( ~ definitionFOFtoCNF_22
| ~ r(skolemFOFtoCNF_Y_127(X_1773))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X_1785) ),
inference(subst,[],[refute_11_502:[bind(X,$fot(X_1785)),bind(X_1247,$fot(skolemFOFtoCNF_Y_127(X_1773)))]]) ).
cnf(refute_11_504,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X_1785)
| r(X_1773) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_1773)) )],[refute_11_500,refute_11_503]) ).
cnf(refute_11_505,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X_1788)
| r(X_1787) ),
inference(subst,[],[refute_11_504:[bind(X_1773,$fot(X_1787)),bind(X_1785,$fot(X_1788))]]) ).
cnf(refute_11_506,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(X_1788)
| r(X_1787) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_505]) ).
cnf(refute_11_507,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_Y_129(X))
| r(X_1789) ),
inference(subst,[],[refute_11_506:[bind(X_1787,$fot(X_1789)),bind(X_1788,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_508,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| r(X_1789) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_507,refute_11_47]) ).
cnf(refute_11_509,plain,
( ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| r(X_1792) ),
inference(subst,[],[refute_11_508:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_1789,$fot(X_1792))]]) ).
cnf(refute_11_510,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| r(X_1792) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_498,refute_11_509]) ).
cnf(refute_11_511,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| r(X_1794) ),
inference(subst,[],[refute_11_510:[bind(X_1792,$fot(X_1794))]]) ).
cnf(refute_11_512,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_Y_127(X_1773)) ),
inference(subst,[],[refute_11_510:[bind(X_1792,$fot(skolemFOFtoCNF_Y_127(X_1773)))]]) ).
cnf(refute_11_513,plain,
( ~ r(X_1773)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_1773)) )],[refute_11_512,refute_11_489]) ).
cnf(refute_11_514,plain,
( ~ r(X_1794)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_513:[bind(X_1773,$fot(X_1794))]]) ).
cnf(refute_11_515,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( r(X_1794) )],[refute_11_511,refute_11_514]) ).
cnf(refute_11_516,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| ~ r(skolemFOFtoCNF_X_124)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1247,$fot(skolemFOFtoCNF_X_124))]]) ).
cnf(refute_11_517,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_20
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_124) )],[refute_11_445,refute_11_516]) ).
cnf(refute_11_518,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_122(X_2178))
| definitionFOFtoCNF_20
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_517:[bind(X_1248,$fot(skolemFOFtoCNF_Y_122(X_2178)))]]) ).
cnf(refute_11_519,plain,
( ~ definitionFOFtoCNF_25(X_2175,skolemFOFtoCNF_Y_122(X_2175))
| q(X_2175)
| q(skolemFOFtoCNF_Y_122(X_2175)) ),
inference(subst,[],[refute_11_30:[bind(X,$fot(X_2175)),bind(Y,$fot(skolemFOFtoCNF_Y_122(X_2175)))]]) ).
cnf(refute_11_520,plain,
( ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,X_1948)
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_105:[bind(Y,$fot(X_1948))]]) ).
cnf(refute_11_521,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_124(X_1746))
| definitionFOFtoCNF_20
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_517:[bind(X_1248,$fot(skolemFOFtoCNF_Y_124(X_1746)))]]) ).
cnf(refute_11_522,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1230)
| q(skolemFOFtoCNF_Y_124(X_1230))
| s(X_1426) ),
inference(subst,[],[refute_11_286:[bind(X_1231,$fot(X_1426))]]) ).
cnf(refute_11_523,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1283)
| q(skolemFOFtoCNF_Y_124(X_1283))
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_286:[bind(X_1230,$fot(X_1283)),bind(X_1231,$fot(skolemFOFtoCNF_Y_128(X0)))]]) ).
cnf(refute_11_524,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| ~ s(X0)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1283)
| q(skolemFOFtoCNF_Y_124(X_1283)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_523,refute_11_109]) ).
cnf(refute_11_525,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1427)
| ~ s(X_1426)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1428)
| q(skolemFOFtoCNF_Y_124(X_1428)) ),
inference(subst,[],[refute_11_524:[bind(X0,$fot(X_1426)),bind(Y,$fot(X_1427)),bind(X_1283,$fot(X_1428))]]) ).
cnf(refute_11_526,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1427)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1230)
| q(X_1428)
| q(skolemFOFtoCNF_Y_124(X_1230))
| q(skolemFOFtoCNF_Y_124(X_1428)) ),
inference(resolve,[$cnf( s(X_1426) )],[refute_11_522,refute_11_525]) ).
cnf(refute_11_527,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_124)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1230)
| q(X_1428)
| q(skolemFOFtoCNF_Y_124(X_1230))
| q(skolemFOFtoCNF_Y_124(X_1428)) ),
inference(subst,[],[refute_11_526:[bind(X_1230,$fot(X_1428)),bind(X_1427,$fot(skolemFOFtoCNF_X_124)),bind(X_1428,$fot(X_1230))]]) ).
cnf(refute_11_528,plain,
( ~ r(skolemFOFtoCNF_X_124)
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_X_124)
| r(X) ),
inference(subst,[],[refute_11_117:[bind(Y,$fot(skolemFOFtoCNF_X_124))]]) ).
cnf(refute_11_529,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_X_124)
| q(skolemFOFtoCNF_X_126)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_124) )],[refute_11_445,refute_11_528]) ).
cnf(refute_11_530,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_124)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_529:[bind(X,$fot(skolemFOFtoCNF_X_134))]]) ).
cnf(refute_11_531,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1230)
| q(X_1428)
| q(skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_Y_124(X_1230))
| q(skolemFOFtoCNF_Y_124(X_1428))
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_124) )],[refute_11_530,refute_11_527]) ).
cnf(refute_11_532,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1746)
| q(skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_Y_124(X_1746))
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_531:[bind(X_1230,$fot(X_1746)),bind(X_1428,$fot(X_1746))]]) ).
cnf(refute_11_533,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X)
| q(X_1746)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_124(X_1746)) )],[refute_11_532,refute_11_521]) ).
cnf(refute_11_534,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1844)
| q(X_1845)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_533:[bind(X,$fot(X_1844)),bind(X_1746,$fot(X_1845))]]) ).
cnf(refute_11_535,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1844)
| q(X_1845)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_534]) ).
cnf(refute_11_536,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1848)
| q(X_1845)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_535:[bind(X_1844,$fot(X_1848))]]) ).
cnf(refute_11_537,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(X_1847)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_535:[bind(X_1844,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1845,$fot(X_1847))]]) ).
cnf(refute_11_538,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1847)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_537,refute_11_47]) ).
cnf(refute_11_539,plain,
( ~ p(X_1848)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1849)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_538:[bind(X,$fot(X_1848)),bind(X_1847,$fot(X_1849))]]) ).
cnf(refute_11_540,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1845)
| q(X_1849)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( p(X_1848) )],[refute_11_536,refute_11_539]) ).
cnf(refute_11_541,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1850)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_540:[bind(X_1845,$fot(skolemFOFtoCNF_X_126)),bind(X_1849,$fot(X_1850))]]) ).
cnf(refute_11_542,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| q(X_1850)
| q(skolemFOFtoCNF_X_126)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_134) )],[refute_11_541,refute_11_116]) ).
cnf(refute_11_543,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1876)
| q(X_1850)
| q(skolemFOFtoCNF_X_126)
| r(X_1876) ),
inference(subst,[],[refute_11_542:[bind(Y,$fot(X_1876))]]) ).
cnf(refute_11_544,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_124(X_1283))
| ~ r(X_1247)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1248,$fot(skolemFOFtoCNF_Y_124(X_1283)))]]) ).
cnf(refute_11_545,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1247)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X)
| q(X_1283)
| s(X_1284) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_124(X_1283)) )],[refute_11_287,refute_11_544]) ).
cnf(refute_11_546,plain,
( ~ definitionFOFtoCNF_22
| ~ r(skolemFOFtoCNF_X_124)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X)
| q(X_1283)
| s(X_1284) ),
inference(subst,[],[refute_11_545:[bind(X_1247,$fot(skolemFOFtoCNF_X_124))]]) ).
cnf(refute_11_547,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X)
| q(X_1283)
| q(skolemFOFtoCNF_X_126)
| s(X_1284) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_124) )],[refute_11_445,refute_11_546]) ).
cnf(refute_11_548,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1861)
| q(X_1862)
| q(skolemFOFtoCNF_X_126)
| s(X_1863) ),
inference(subst,[],[refute_11_547:[bind(X,$fot(X_1861)),bind(X_1283,$fot(X_1862)),bind(X_1284,$fot(X_1863))]]) ).
cnf(refute_11_549,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1861)
| q(X_1862)
| q(skolemFOFtoCNF_X_126)
| s(X_1863) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_548]) ).
cnf(refute_11_550,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1867)
| q(X_1862)
| q(skolemFOFtoCNF_X_126)
| s(X_1863) ),
inference(subst,[],[refute_11_549:[bind(X_1861,$fot(X_1867))]]) ).
cnf(refute_11_551,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(X_1865)
| q(skolemFOFtoCNF_X_126)
| s(X_1866) ),
inference(subst,[],[refute_11_549:[bind(X_1861,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1862,$fot(X_1865)),bind(X_1863,$fot(X_1866))]]) ).
cnf(refute_11_552,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1865)
| q(skolemFOFtoCNF_X_126)
| s(X_1866) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_551,refute_11_47]) ).
cnf(refute_11_553,plain,
( ~ p(X_1867)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1868)
| q(skolemFOFtoCNF_X_126)
| s(X_1869) ),
inference(subst,[],[refute_11_552:[bind(X,$fot(X_1867)),bind(X_1865,$fot(X_1868)),bind(X_1866,$fot(X_1869))]]) ).
cnf(refute_11_554,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1862)
| q(X_1868)
| q(skolemFOFtoCNF_X_126)
| s(X_1863)
| s(X_1869) ),
inference(resolve,[$cnf( p(X_1867) )],[refute_11_550,refute_11_553]) ).
cnf(refute_11_555,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1868)
| q(skolemFOFtoCNF_X_126)
| s(X_1872) ),
inference(subst,[],[refute_11_554:[bind(X_1862,$fot(skolemFOFtoCNF_X_126)),bind(X_1863,$fot(X_1872)),bind(X_1869,$fot(X_1872))]]) ).
cnf(refute_11_556,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1870)
| q(skolemFOFtoCNF_X_126)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_554:[bind(X_1862,$fot(skolemFOFtoCNF_X_126)),bind(X_1863,$fot(skolemFOFtoCNF_Y_128(X0))),bind(X_1868,$fot(X_1870)),bind(X_1869,$fot(skolemFOFtoCNF_Y_128(X0)))]]) ).
cnf(refute_11_557,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| ~ s(X0)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1870)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_556,refute_11_109]) ).
cnf(refute_11_558,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1873)
| ~ s(X_1872)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1874)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_557:[bind(X0,$fot(X_1872)),bind(Y,$fot(X_1873)),bind(X_1870,$fot(X_1874))]]) ).
cnf(refute_11_559,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1873)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1868)
| q(X_1874)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( s(X_1872) )],[refute_11_555,refute_11_558]) ).
cnf(refute_11_560,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1876)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1875)
| q(X_1877)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_559:[bind(X_1868,$fot(X_1877)),bind(X_1873,$fot(X_1876)),bind(X_1874,$fot(X_1875))]]) ).
cnf(refute_11_561,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1850)
| q(X_1875)
| q(X_1877)
| q(skolemFOFtoCNF_X_126)
| r(X_1876) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_1876) )],[refute_11_543,refute_11_560]) ).
cnf(refute_11_562,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1879)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_561:[bind(X_1850,$fot(skolemFOFtoCNF_X_126)),bind(X_1875,$fot(skolemFOFtoCNF_X_126)),bind(X_1876,$fot(skolemFOFtoCNF_Y_116)),bind(X_1877,$fot(X_1879))]]) ).
cnf(refute_11_563,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(Y)
| q(Y0)
| q(X_1879)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_562,refute_11_314]) ).
cnf(refute_11_564,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1881)
| q(X_1882)
| q(X_1883)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_563:[bind(Y,$fot(X_1881)),bind(Y0,$fot(X_1883)),bind(X_1879,$fot(X_1882))]]) ).
cnf(refute_11_565,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1881)
| q(X_1882)
| q(X_1883)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_515,refute_11_564]) ).
cnf(refute_11_566,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1885)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_565:[bind(X_1881,$fot(X_1885)),bind(X_1882,$fot(skolemFOFtoCNF_X_126)),bind(X_1883,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_567,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_565:[bind(X_1881,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1882,$fot(skolemFOFtoCNF_X_126)),bind(X_1883,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_568,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_567,refute_11_47]) ).
cnf(refute_11_569,plain,
( ~ p(X_1885)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_568:[bind(X,$fot(X_1885))]]) ).
cnf(refute_11_570,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(X_1885) )],[refute_11_566,refute_11_569]) ).
cnf(refute_11_571,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_X_126)
| q(X) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_570,refute_11_81]) ).
cnf(refute_11_572,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_X_128) ),
inference(subst,[],[refute_11_571:[bind(X,$fot(skolemFOFtoCNF_X_128))]]) ).
cnf(refute_11_573,plain,
( ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,skolemFOFtoCNF_X_126) )],[refute_11_572,refute_11_161]) ).
cnf(refute_11_574,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_X_126)
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(subst,[],[refute_11_423:[bind(X1,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_575,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_570,refute_11_574]) ).
cnf(refute_11_576,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_575]) ).
cnf(refute_11_577,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_121) )],[refute_11_576,refute_11_422]) ).
cnf(refute_11_578,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1895)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_577:[bind(X,$fot(X_1895)),bind(X_1248,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_579,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1895)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_570,refute_11_578]) ).
cnf(refute_11_580,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1897)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_579:[bind(X_1895,$fot(X_1897))]]) ).
cnf(refute_11_581,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1897)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_580]) ).
cnf(refute_11_582,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_581:[bind(X_1897,$fot(skolemFOFtoCNF_X_120))]]) ).
cnf(refute_11_583,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ q(X1)
| ~ r(skolemFOFtoCNF_Y_126(X_1914)) ),
inference(subst,[],[refute_11_419:[bind(X0,$fot(skolemFOFtoCNF_Y_126(X_1914)))]]) ).
cnf(refute_11_584,plain,
( ~ definitionFOFtoCNF_26(X_1909,skolemFOFtoCNF_Y_126(X_1909))
| r(X_1909)
| r(skolemFOFtoCNF_Y_126(X_1909)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_1909)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_1909)))]]) ).
cnf(refute_11_585,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| ~ r(skolemFOFtoCNF_Y_126(X_1798))
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1247,$fot(skolemFOFtoCNF_Y_126(X_1798)))]]) ).
cnf(refute_11_586,plain,
( ~ definitionFOFtoCNF_26(X_1795,skolemFOFtoCNF_Y_126(X_1795))
| r(X_1795)
| r(skolemFOFtoCNF_Y_126(X_1795)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_1795)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_1795)))]]) ).
cnf(refute_11_587,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20
| s(skolemFOFtoCNF_X_127) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_515,refute_11_41]) ).
cnf(refute_11_588,plain,
( definitionFOFtoCNF_20
| s(skolemFOFtoCNF_X_127) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_417,refute_11_587]) ).
cnf(refute_11_589,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_588,refute_11_40]) ).
cnf(refute_11_590,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_1795,skolemFOFtoCNF_Y_126(X_1795))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_589:[bind(X,$fot(X_1795))]]) ).
cnf(refute_11_591,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1795)
| r(skolemFOFtoCNF_Y_126(X_1795))
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1795,skolemFOFtoCNF_Y_126(X_1795)) )],[refute_11_590,refute_11_586]) ).
cnf(refute_11_592,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1798)
| r(skolemFOFtoCNF_Y_126(X_1798))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_591:[bind(X_1795,$fot(X_1798))]]) ).
cnf(refute_11_593,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X)
| r(X_1798)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1798)) )],[refute_11_592,refute_11_585]) ).
cnf(refute_11_594,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1898)
| r(X_1900)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_593:[bind(X,$fot(X_1898)),bind(X_1248,$fot(skolemFOFtoCNF_X_126)),bind(X_1798,$fot(X_1900))]]) ).
cnf(refute_11_595,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1898)
| r(X_1900)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_570,refute_11_594]) ).
cnf(refute_11_596,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1901)
| r(X_1902)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_595:[bind(X_1898,$fot(X_1901)),bind(X_1900,$fot(X_1902))]]) ).
cnf(refute_11_597,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1901)
| r(X_1902)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_596]) ).
cnf(refute_11_598,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| r(X_1904)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_597:[bind(X_1901,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1902,$fot(X_1904))]]) ).
cnf(refute_11_599,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1904)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_598,refute_11_47]) ).
cnf(refute_11_600,plain,
( ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1906)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_599:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_1904,$fot(X_1906))]]) ).
cnf(refute_11_601,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1906)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_582,refute_11_600]) ).
cnf(refute_11_602,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1908)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_601:[bind(X_1906,$fot(X_1908))]]) ).
cnf(refute_11_603,plain,
( ~ definitionFOFtoCNF_26(X_1795,skolemFOFtoCNF_Y_126(X_1795))
| ~ r(X_1795)
| ~ r(skolemFOFtoCNF_Y_126(X_1795)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_1795)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_1795)))]]) ).
cnf(refute_11_604,plain,
( ~ r(X_1795)
| ~ r(skolemFOFtoCNF_Y_126(X_1795))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1795,skolemFOFtoCNF_Y_126(X_1795)) )],[refute_11_590,refute_11_603]) ).
cnf(refute_11_605,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_126(X_1795))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_601:[bind(X_1906,$fot(skolemFOFtoCNF_Y_126(X_1795)))]]) ).
cnf(refute_11_606,plain,
( ~ r(X_1795)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1795)) )],[refute_11_605,refute_11_604]) ).
cnf(refute_11_607,plain,
( ~ r(X_1908)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_606:[bind(X_1795,$fot(X_1908))]]) ).
cnf(refute_11_608,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(X_1908) )],[refute_11_602,refute_11_607]) ).
cnf(refute_11_609,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_608,refute_11_36]) ).
cnf(refute_11_610,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_1909,skolemFOFtoCNF_Y_126(X_1909))
| s(X_1910) ),
inference(subst,[],[refute_11_609:[bind(X,$fot(X_1909)),bind(Y0,$fot(X_1910))]]) ).
cnf(refute_11_611,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1909)
| r(skolemFOFtoCNF_Y_126(X_1909))
| s(X_1910) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1909,skolemFOFtoCNF_Y_126(X_1909)) )],[refute_11_610,refute_11_584]) ).
cnf(refute_11_612,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1914)
| r(skolemFOFtoCNF_Y_126(X_1914))
| s(X_1915) ),
inference(subst,[],[refute_11_611:[bind(X_1909,$fot(X_1914)),bind(X_1910,$fot(X_1915))]]) ).
cnf(refute_11_613,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ q(X1)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1914)
| s(X_1915) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1914)) )],[refute_11_612,refute_11_583]) ).
cnf(refute_11_614,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X_1933)
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1935)
| s(X_1936) ),
inference(subst,[],[refute_11_613:[bind(X,$fot(X_1933)),bind(X1,$fot(skolemFOFtoCNF_X_126)),bind(X_1914,$fot(X_1935)),bind(X_1915,$fot(X_1936))]]) ).
cnf(refute_11_615,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X_1933)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1935)
| s(X_1936) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_570,refute_11_614]) ).
cnf(refute_11_616,plain,
( ~ definitionFOFtoCNF_22
| ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1938)
| s(X_1939) ),
inference(subst,[],[refute_11_615:[bind(X_1933,$fot(skolemFOFtoCNF_X_120)),bind(X_1935,$fot(X_1938)),bind(X_1936,$fot(X_1939))]]) ).
cnf(refute_11_617,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1938)
| s(X_1939) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_582,refute_11_616]) ).
cnf(refute_11_618,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1940)
| s(X_1941) ),
inference(subst,[],[refute_11_617:[bind(X_1938,$fot(X_1940)),bind(X_1939,$fot(X_1941))]]) ).
cnf(refute_11_619,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1940)
| s(X_1941) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_618]) ).
cnf(refute_11_620,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1942)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_619:[bind(X_1940,$fot(X_1942)),bind(X_1941,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_621,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128)
| r(X_1942) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_620,refute_11_573]) ).
cnf(refute_11_622,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128)
| r(X_1945) ),
inference(subst,[],[refute_11_621:[bind(X_1942,$fot(X_1945))]]) ).
cnf(refute_11_623,plain,
( ~ definitionFOFtoCNF_26(X_1909,skolemFOFtoCNF_Y_126(X_1909))
| ~ r(X_1909)
| ~ r(skolemFOFtoCNF_Y_126(X_1909)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_1909)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_1909)))]]) ).
cnf(refute_11_624,plain,
( ~ r(X_1909)
| ~ r(skolemFOFtoCNF_Y_126(X_1909))
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(X_1910) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1909,skolemFOFtoCNF_Y_126(X_1909)) )],[refute_11_610,refute_11_623]) ).
cnf(refute_11_625,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128)
| r(skolemFOFtoCNF_Y_126(X_1909)) ),
inference(subst,[],[refute_11_621:[bind(X_1942,$fot(skolemFOFtoCNF_Y_126(X_1909)))]]) ).
cnf(refute_11_626,plain,
( ~ r(X_1909)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128)
| s(X_1910) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1909)) )],[refute_11_625,refute_11_624]) ).
cnf(refute_11_627,plain,
( ~ r(X_1945)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128)
| s(X_1946) ),
inference(subst,[],[refute_11_626:[bind(X_1909,$fot(X_1945)),bind(X_1910,$fot(X_1946))]]) ).
cnf(refute_11_628,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128)
| s(X_1946) ),
inference(resolve,[$cnf( r(X_1945) )],[refute_11_622,refute_11_627]) ).
cnf(refute_11_629,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_628:[bind(X_1946,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_630,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_128) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_629,refute_11_573]) ).
cnf(refute_11_631,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,Y)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_128) )],[refute_11_630,refute_11_160]) ).
cnf(refute_11_632,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,X_1948)
| q(X_1948) ),
inference(subst,[],[refute_11_631:[bind(Y,$fot(X_1948))]]) ).
cnf(refute_11_633,plain,
( ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1948) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_128,X_1948) )],[refute_11_632,refute_11_520]) ).
cnf(refute_11_634,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1954)
| s(X_1941) ),
inference(subst,[],[refute_11_619:[bind(X_1940,$fot(X_1954))]]) ).
cnf(refute_11_635,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_126(X_1909))
| s(X_1943) ),
inference(subst,[],[refute_11_619:[bind(X_1940,$fot(skolemFOFtoCNF_Y_126(X_1909))),bind(X_1941,$fot(X_1943))]]) ).
cnf(refute_11_636,plain,
( ~ r(X_1909)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(X_1910)
| s(X_1943) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1909)) )],[refute_11_635,refute_11_624]) ).
cnf(refute_11_637,plain,
( ~ r(X_1954)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(X_1955)
| s(X_1956) ),
inference(subst,[],[refute_11_636:[bind(X_1909,$fot(X_1954)),bind(X_1910,$fot(X_1956)),bind(X_1943,$fot(X_1955))]]) ).
cnf(refute_11_638,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(X_1941)
| s(X_1955)
| s(X_1956) ),
inference(resolve,[$cnf( r(X_1954) )],[refute_11_634,refute_11_637]) ).
cnf(refute_11_639,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_638:[bind(X_1941,$fot(skolemFOFtoCNF_Y_123)),bind(X_1955,$fot(skolemFOFtoCNF_Y_123)),bind(X_1956,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_640,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1948) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_639,refute_11_633]) ).
cnf(refute_11_641,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_115) ),
inference(subst,[],[refute_11_640:[bind(X_1948,$fot(skolemFOFtoCNF_Y_115))]]) ).
cnf(refute_11_642,plain,
( ~ definitionFOFtoCNF_23
| ~ p(skolemFOFtoCNF_Y_114)
| ~ q(skolemFOFtoCNF_Y_115)
| ~ r(skolemFOFtoCNF_Y_116) ),
inference(canonicalize,[],[normalize_11_72]) ).
cnf(refute_11_643,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_119) ),
inference(subst,[],[refute_11_640:[bind(X_1948,$fot(skolemFOFtoCNF_Y_119))]]) ).
cnf(refute_11_644,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(Y)
| r(Y1) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_119) )],[refute_11_643,refute_11_384]) ).
cnf(refute_11_645,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1962)
| r(X_1963) ),
inference(subst,[],[refute_11_644:[bind(Y,$fot(X_1962)),bind(Y1,$fot(X_1963))]]) ).
cnf(refute_11_646,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1962)
| r(X_1963) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_515,refute_11_645]) ).
cnf(refute_11_647,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| r(X_1965) ),
inference(subst,[],[refute_11_646:[bind(X_1962,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1963,$fot(X_1965))]]) ).
cnf(refute_11_648,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1965) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_647,refute_11_47]) ).
cnf(refute_11_649,plain,
( ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1967) ),
inference(subst,[],[refute_11_648:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_1965,$fot(X_1967))]]) ).
cnf(refute_11_650,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1967) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_582,refute_11_649]) ).
cnf(refute_11_651,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_650:[bind(X_1967,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_652,plain,
( ~ definitionFOFtoCNF_23
| ~ p(skolemFOFtoCNF_Y_114)
| ~ q(skolemFOFtoCNF_Y_115)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_651,refute_11_642]) ).
cnf(refute_11_653,plain,
( ~ definitionFOFtoCNF_23
| ~ p(skolemFOFtoCNF_Y_114)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_115) )],[refute_11_641,refute_11_652]) ).
cnf(refute_11_654,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| r(X_1970) ),
inference(subst,[],[refute_11_650:[bind(X_1967,$fot(X_1970))]]) ).
cnf(refute_11_655,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1958)
| ~ r(X_1247)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1248,$fot(X_1958))]]) ).
cnf(refute_11_656,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| q(X_1958) ),
inference(subst,[],[refute_11_640:[bind(X_1948,$fot(X_1958))]]) ).
cnf(refute_11_657,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1247)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X) ),
inference(resolve,[$cnf( q(X_1958) )],[refute_11_656,refute_11_655]) ).
cnf(refute_11_658,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1970)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1969) ),
inference(subst,[],[refute_11_657:[bind(X,$fot(X_1969)),bind(X_1247,$fot(X_1970))]]) ).
cnf(refute_11_659,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1969) ),
inference(resolve,[$cnf( r(X_1970) )],[refute_11_654,refute_11_658]) ).
cnf(refute_11_660,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1971) ),
inference(subst,[],[refute_11_659:[bind(X_1969,$fot(X_1971))]]) ).
cnf(refute_11_661,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(X_1971) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_660]) ).
cnf(refute_11_662,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_114) ),
inference(subst,[],[refute_11_661:[bind(X_1971,$fot(skolemFOFtoCNF_Y_114))]]) ).
cnf(refute_11_663,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_114) )],[refute_11_662,refute_11_653]) ).
cnf(refute_11_664,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_515,refute_11_663]) ).
cnf(refute_11_665,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_122(X_1982))
| definitionFOFtoCNF_20
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_517:[bind(X_1248,$fot(skolemFOFtoCNF_Y_122(X_1982)))]]) ).
cnf(refute_11_666,plain,
( ~ definitionFOFtoCNF_25(X_1979,skolemFOFtoCNF_Y_122(X_1979))
| q(X_1979)
| q(skolemFOFtoCNF_Y_122(X_1979)) ),
inference(subst,[],[refute_11_30:[bind(X,$fot(X_1979)),bind(Y,$fot(skolemFOFtoCNF_Y_122(X_1979)))]]) ).
cnf(refute_11_667,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_124)
| ~ s(skolemFOFtoCNF_X_133)
| s(Y0) ),
inference(subst,[],[refute_11_182:[bind(Y,$fot(skolemFOFtoCNF_X_124))]]) ).
cnf(refute_11_668,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_124)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_529:[bind(X,$fot(skolemFOFtoCNF_X_132))]]) ).
cnf(refute_11_669,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_124) )],[refute_11_668,refute_11_667]) ).
cnf(refute_11_670,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_124)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_177:[bind(Y,$fot(skolemFOFtoCNF_X_124))]]) ).
cnf(refute_11_671,plain,
( ~ definitionFOFtoCNF_24
| ~ s(Y0)
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_124) )],[refute_11_668,refute_11_670]) ).
cnf(refute_11_672,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_671:[bind(Y0,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_673,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_588,refute_11_672]) ).
cnf(refute_11_674,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_673]) ).
cnf(refute_11_675,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_674,refute_11_669]) ).
cnf(refute_11_676,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132)
| s(X_1974) ),
inference(subst,[],[refute_11_675:[bind(Y0,$fot(X_1974))]]) ).
cnf(refute_11_677,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132)
| s(X_1974) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_676]) ).
cnf(refute_11_678,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_677:[bind(X_1974,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_679,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_122(X))
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_678,refute_11_176]) ).
cnf(refute_11_680,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X_1978,skolemFOFtoCNF_Y_122(X_1978))
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_679:[bind(X,$fot(X_1978))]]) ).
cnf(refute_11_681,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X_1978,skolemFOFtoCNF_Y_122(X_1978))
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_680]) ).
cnf(refute_11_682,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X_1979,skolemFOFtoCNF_Y_122(X_1979))
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_681:[bind(X_1978,$fot(X_1979))]]) ).
cnf(refute_11_683,plain,
( definitionFOFtoCNF_20
| q(X_1979)
| q(skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_Y_122(X_1979))
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_1979,skolemFOFtoCNF_Y_122(X_1979)) )],[refute_11_682,refute_11_666]) ).
cnf(refute_11_684,plain,
( definitionFOFtoCNF_20
| q(X_1982)
| q(skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_Y_122(X_1982))
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_683:[bind(X_1979,$fot(X_1982))]]) ).
cnf(refute_11_685,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(X)
| q(X_1982)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_122(X_1982)) )],[refute_11_684,refute_11_665]) ).
cnf(refute_11_686,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(X_1994)
| q(X_1995)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_685:[bind(X,$fot(X_1994)),bind(X_1982,$fot(X_1995))]]) ).
cnf(refute_11_687,plain,
( definitionFOFtoCNF_20
| p(X_1994)
| q(X_1995)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_686]) ).
cnf(refute_11_688,plain,
( definitionFOFtoCNF_20
| p(X_1998)
| q(X_1995)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_687:[bind(X_1994,$fot(X_1998))]]) ).
cnf(refute_11_689,plain,
( definitionFOFtoCNF_20
| p(skolemFOFtoCNF_Y_129(X))
| q(X_1997)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_687:[bind(X_1994,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_1995,$fot(X_1997))]]) ).
cnf(refute_11_690,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| q(X_1997)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_689,refute_11_47]) ).
cnf(refute_11_691,plain,
( ~ p(X_1998)
| definitionFOFtoCNF_20
| q(X_1999)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_690:[bind(X,$fot(X_1998)),bind(X_1997,$fot(X_1999))]]) ).
cnf(refute_11_692,plain,
( definitionFOFtoCNF_20
| q(X_1995)
| q(X_1999)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( p(X_1998) )],[refute_11_688,refute_11_691]) ).
cnf(refute_11_693,plain,
( definitionFOFtoCNF_20
| q(X_2000)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_692:[bind(X_1995,$fot(skolemFOFtoCNF_X_126)),bind(X_1999,$fot(X_2000))]]) ).
cnf(refute_11_694,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| q(X_2000)
| q(skolemFOFtoCNF_X_126)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_132) )],[refute_11_693,refute_11_179]) ).
cnf(refute_11_695,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2009)
| q(X_2000)
| q(skolemFOFtoCNF_X_126)
| r(X_2009) ),
inference(subst,[],[refute_11_694:[bind(Y,$fot(X_2009))]]) ).
cnf(refute_11_696,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| ~ s(skolemFOFtoCNF_Y_128(X_2008))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_177:[bind(Y0,$fot(skolemFOFtoCNF_Y_128(X_2008)))]]) ).
cnf(refute_11_697,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_Y_127(skolemFOFtoCNF_X_132))
| ~ s(Y0)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_177:[bind(Y,$fot(skolemFOFtoCNF_Y_127(skolemFOFtoCNF_X_132)))]]) ).
cnf(refute_11_698,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_281]) ).
cnf(refute_11_699,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_Y_127(skolemFOFtoCNF_X_132))
| s(X_1985)
| s(skolemFOFtoCNF_Y_128(X_1985)) ),
inference(subst,[],[refute_11_698:[bind(X,$fot(skolemFOFtoCNF_X_132)),bind(X0,$fot(X_1985))]]) ).
cnf(refute_11_700,plain,
( ~ definitionFOFtoCNF_24
| ~ s(Y0)
| definitionFOFtoCNF_20
| s(X_1985)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_1985)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_Y_127(skolemFOFtoCNF_X_132)) )],[refute_11_699,refute_11_697]) ).
cnf(refute_11_701,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_20
| s(X_2006)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2006)) ),
inference(subst,[],[refute_11_700:[bind(Y0,$fot(skolemFOFtoCNF_X_127)),bind(X_1985,$fot(X_2006))]]) ).
cnf(refute_11_702,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| s(X_2006)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2006)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_588,refute_11_701]) ).
cnf(refute_11_703,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| s(X_2007)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2007)) ),
inference(subst,[],[refute_11_702:[bind(X_2006,$fot(X_2007))]]) ).
cnf(refute_11_704,plain,
( definitionFOFtoCNF_20
| s(X_2007)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2007)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_703]) ).
cnf(refute_11_705,plain,
( definitionFOFtoCNF_20
| s(X_2008)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2008)) ),
inference(subst,[],[refute_11_704:[bind(X_2007,$fot(X_2008))]]) ).
cnf(refute_11_706,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| definitionFOFtoCNF_20
| s(X_2008)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_2008)) )],[refute_11_705,refute_11_696]) ).
cnf(refute_11_707,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2009)
| definitionFOFtoCNF_20
| s(X_2010)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_706:[bind(Y,$fot(X_2009)),bind(X_2008,$fot(X_2010))]]) ).
cnf(refute_11_708,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(X_2000)
| q(skolemFOFtoCNF_X_126)
| r(X_2009)
| s(X_2010)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2009) )],[refute_11_695,refute_11_707]) ).
cnf(refute_11_709,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(X_2027)
| q(skolemFOFtoCNF_X_126)
| r(X_2028)
| s(X_2029)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_708:[bind(X_2000,$fot(X_2027)),bind(X_2009,$fot(X_2028)),bind(X_2010,$fot(X_2029))]]) ).
cnf(refute_11_710,plain,
( definitionFOFtoCNF_20
| q(X_2027)
| q(skolemFOFtoCNF_X_126)
| r(X_2028)
| s(X_2029)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_709]) ).
cnf(refute_11_711,plain,
( definitionFOFtoCNF_20
| q(X_2027)
| q(skolemFOFtoCNF_X_126)
| r(X_2028)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_710:[bind(X_2029,$fot(skolemFOFtoCNF_X_133))]]) ).
cnf(refute_11_712,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2001)
| ~ s(skolemFOFtoCNF_X_133)
| s(Y0) ),
inference(subst,[],[refute_11_182:[bind(Y,$fot(X_2001))]]) ).
cnf(refute_11_713,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2001)
| q(X_2002)
| q(skolemFOFtoCNF_X_126)
| r(X_2001) ),
inference(subst,[],[refute_11_694:[bind(Y,$fot(X_2001)),bind(X_2000,$fot(X_2002))]]) ).
cnf(refute_11_714,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_20
| q(X_2002)
| q(skolemFOFtoCNF_X_126)
| r(X_2001)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2001) )],[refute_11_713,refute_11_712]) ).
cnf(refute_11_715,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_20
| q(X_2080)
| q(skolemFOFtoCNF_X_126)
| r(X_2079)
| s(X_2078) ),
inference(subst,[],[refute_11_714:[bind(Y0,$fot(X_2078)),bind(X_2001,$fot(X_2079)),bind(X_2002,$fot(X_2080))]]) ).
cnf(refute_11_716,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(X_2027)
| q(X_2080)
| q(skolemFOFtoCNF_X_126)
| r(X_2028)
| r(X_2079)
| s(X_2078) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_711,refute_11_715]) ).
cnf(refute_11_717,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(X_2164)
| q(X_2168)
| q(skolemFOFtoCNF_X_126)
| r(X_2165)
| r(X_2167)
| s(X_2166) ),
inference(subst,[],[refute_11_716:[bind(X_2027,$fot(X_2168)),bind(X_2028,$fot(X_2167)),bind(X_2078,$fot(X_2166)),bind(X_2079,$fot(X_2165)),bind(X_2080,$fot(X_2164))]]) ).
cnf(refute_11_718,plain,
( definitionFOFtoCNF_20
| q(X_2164)
| q(X_2168)
| q(skolemFOFtoCNF_X_126)
| r(X_2165)
| r(X_2167)
| s(X_2166) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_717]) ).
cnf(refute_11_719,plain,
( definitionFOFtoCNF_20
| q(X_2171)
| q(skolemFOFtoCNF_X_126)
| r(X_2170)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_718:[bind(X_2164,$fot(skolemFOFtoCNF_X_126)),bind(X_2165,$fot(X_2170)),bind(X_2166,$fot(skolemFOFtoCNF_Y_123)),bind(X_2167,$fot(X_2170)),bind(X_2168,$fot(X_2171))]]) ).
cnf(refute_11_720,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_122(X))
| q(X_2171)
| q(skolemFOFtoCNF_X_126)
| r(X_2170) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_719,refute_11_176]) ).
cnf(refute_11_721,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X_2172,skolemFOFtoCNF_Y_122(X_2172))
| q(X_2174)
| q(skolemFOFtoCNF_X_126)
| r(X_2173) ),
inference(subst,[],[refute_11_720:[bind(X,$fot(X_2172)),bind(X_2170,$fot(X_2173)),bind(X_2171,$fot(X_2174))]]) ).
cnf(refute_11_722,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X_2172,skolemFOFtoCNF_Y_122(X_2172))
| q(X_2174)
| q(skolemFOFtoCNF_X_126)
| r(X_2173) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_721]) ).
cnf(refute_11_723,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X_2175,skolemFOFtoCNF_Y_122(X_2175))
| q(X_2177)
| q(skolemFOFtoCNF_X_126)
| r(X_2176) ),
inference(subst,[],[refute_11_722:[bind(X_2172,$fot(X_2175)),bind(X_2173,$fot(X_2176)),bind(X_2174,$fot(X_2177))]]) ).
cnf(refute_11_724,plain,
( definitionFOFtoCNF_20
| q(X_2175)
| q(X_2177)
| q(skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_Y_122(X_2175))
| r(X_2176) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2175,skolemFOFtoCNF_Y_122(X_2175)) )],[refute_11_723,refute_11_519]) ).
cnf(refute_11_725,plain,
( definitionFOFtoCNF_20
| q(X_2178)
| q(skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_Y_122(X_2178))
| r(X_2179) ),
inference(subst,[],[refute_11_724:[bind(X_2175,$fot(X_2178)),bind(X_2176,$fot(X_2179)),bind(X_2177,$fot(skolemFOFtoCNF_Y_122(X_2178)))]]) ).
cnf(refute_11_726,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(X)
| q(X_2178)
| q(skolemFOFtoCNF_X_126)
| r(X_2179) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_122(X_2178)) )],[refute_11_725,refute_11_518]) ).
cnf(refute_11_727,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(X_2180)
| q(X_2181)
| q(skolemFOFtoCNF_X_126)
| r(X_2182) ),
inference(subst,[],[refute_11_726:[bind(X,$fot(X_2180)),bind(X_2178,$fot(X_2181)),bind(X_2179,$fot(X_2182))]]) ).
cnf(refute_11_728,plain,
( definitionFOFtoCNF_20
| p(X_2180)
| q(X_2181)
| q(skolemFOFtoCNF_X_126)
| r(X_2182) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_727]) ).
cnf(refute_11_729,plain,
( definitionFOFtoCNF_20
| p(X_2186)
| q(X_2181)
| q(skolemFOFtoCNF_X_126)
| r(X_2182) ),
inference(subst,[],[refute_11_728:[bind(X_2180,$fot(X_2186))]]) ).
cnf(refute_11_730,plain,
( definitionFOFtoCNF_20
| p(skolemFOFtoCNF_Y_129(X))
| q(X_2184)
| q(skolemFOFtoCNF_X_126)
| r(X_2185) ),
inference(subst,[],[refute_11_728:[bind(X_2180,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2181,$fot(X_2184)),bind(X_2182,$fot(X_2185))]]) ).
cnf(refute_11_731,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| q(X_2184)
| q(skolemFOFtoCNF_X_126)
| r(X_2185) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_730,refute_11_47]) ).
cnf(refute_11_732,plain,
( ~ p(X_2186)
| definitionFOFtoCNF_20
| q(X_2187)
| q(skolemFOFtoCNF_X_126)
| r(X_2188) ),
inference(subst,[],[refute_11_731:[bind(X,$fot(X_2186)),bind(X_2184,$fot(X_2187)),bind(X_2185,$fot(X_2188))]]) ).
cnf(refute_11_733,plain,
( definitionFOFtoCNF_20
| q(X_2181)
| q(X_2187)
| q(skolemFOFtoCNF_X_126)
| r(X_2182)
| r(X_2188) ),
inference(resolve,[$cnf( p(X_2186) )],[refute_11_729,refute_11_732]) ).
cnf(refute_11_734,plain,
( definitionFOFtoCNF_20
| q(X_2189)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_733:[bind(X_2181,$fot(skolemFOFtoCNF_X_126)),bind(X_2182,$fot(skolemFOFtoCNF_Y_116)),bind(X_2187,$fot(X_2189)),bind(X_2188,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_735,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| p(Y)
| q(Y0)
| q(X_2189)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_734,refute_11_314]) ).
cnf(refute_11_736,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| p(X_2192)
| q(X_2193)
| q(X_2194)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_735:[bind(Y,$fot(X_2192)),bind(Y0,$fot(X_2194)),bind(X_2189,$fot(X_2193))]]) ).
cnf(refute_11_737,plain,
( definitionFOFtoCNF_20
| p(X_2192)
| q(X_2193)
| q(X_2194)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_515,refute_11_736]) ).
cnf(refute_11_738,plain,
( definitionFOFtoCNF_20
| p(X_2196)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_737:[bind(X_2192,$fot(X_2196)),bind(X_2193,$fot(skolemFOFtoCNF_X_126)),bind(X_2194,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_739,plain,
( definitionFOFtoCNF_20
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_737:[bind(X_2192,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2193,$fot(skolemFOFtoCNF_X_126)),bind(X_2194,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_740,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_739,refute_11_47]) ).
cnf(refute_11_741,plain,
( ~ p(X_2196)
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_740:[bind(X,$fot(X_2196))]]) ).
cnf(refute_11_742,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(X_2196) )],[refute_11_738,refute_11_741]) ).
cnf(refute_11_743,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_742,refute_11_574]) ).
cnf(refute_11_744,plain,
( definitionFOFtoCNF_20
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_743]) ).
cnf(refute_11_745,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_20
| p(X)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_121) )],[refute_11_744,refute_11_422]) ).
cnf(refute_11_746,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| p(X_2207)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_745:[bind(X,$fot(X_2207)),bind(X_1248,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_747,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(X_2207)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_742,refute_11_746]) ).
cnf(refute_11_748,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(X_2209)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_747:[bind(X_2207,$fot(X_2209))]]) ).
cnf(refute_11_749,plain,
( definitionFOFtoCNF_20
| p(X_2209)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_748]) ).
cnf(refute_11_750,plain,
( definitionFOFtoCNF_20
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_749:[bind(X_2209,$fot(skolemFOFtoCNF_X_120))]]) ).
cnf(refute_11_751,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ q(skolemFOFtoCNF_Y_122(X_2251))
| ~ r(X0) ),
inference(subst,[],[refute_11_419:[bind(X1,$fot(skolemFOFtoCNF_Y_122(X_2251)))]]) ).
cnf(refute_11_752,plain,
( ~ definitionFOFtoCNF_25(X_2249,skolemFOFtoCNF_Y_122(X_2249))
| q(X_2249)
| q(skolemFOFtoCNF_Y_122(X_2249)) ),
inference(subst,[],[refute_11_30:[bind(X,$fot(X_2249)),bind(Y,$fot(skolemFOFtoCNF_Y_122(X_2249)))]]) ).
cnf(refute_11_753,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,X_2241)
| definitionFOFtoCNF_20
| s(Y0) ),
inference(subst,[],[refute_11_233:[bind(Y,$fot(X_2241))]]) ).
cnf(refute_11_754,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| ~ r(skolemFOFtoCNF_Y_127(X_2215))
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1247,$fot(skolemFOFtoCNF_Y_127(X_2215)))]]) ).
cnf(refute_11_755,plain,
( ~ definitionFOFtoCNF_26(X_2213,skolemFOFtoCNF_Y_127(X_2213))
| r(X_2213)
| r(skolemFOFtoCNF_Y_127(X_2213)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_2213)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2213)))]]) ).
cnf(refute_11_756,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_X_126)
| q(X) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_742,refute_11_81]) ).
cnf(refute_11_757,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_756:[bind(X,$fot(skolemFOFtoCNF_X_131))]]) ).
cnf(refute_11_758,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,skolemFOFtoCNF_X_126) )],[refute_11_757,refute_11_238]) ).
cnf(refute_11_759,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| s(X_2199) ),
inference(subst,[],[refute_11_758:[bind(Y0,$fot(X_2199))]]) ).
cnf(refute_11_760,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| s(X_2199) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_759]) ).
cnf(refute_11_761,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_760:[bind(X_2199,$fot(skolemFOFtoCNF_Y_128(X0)))]]) ).
cnf(refute_11_762,plain,
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_761,refute_11_232]) ).
cnf(refute_11_763,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2210,skolemFOFtoCNF_Y_127(X_2210))
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_762:[bind(X,$fot(X_2210)),bind(X0,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_764,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2210,skolemFOFtoCNF_Y_127(X_2210))
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_588,refute_11_763]) ).
cnf(refute_11_765,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2212,skolemFOFtoCNF_Y_127(X_2212))
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_764:[bind(X_2210,$fot(X_2212))]]) ).
cnf(refute_11_766,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2212,skolemFOFtoCNF_Y_127(X_2212))
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_765]) ).
cnf(refute_11_767,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2213,skolemFOFtoCNF_Y_127(X_2213))
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_766:[bind(X_2212,$fot(X_2213))]]) ).
cnf(refute_11_768,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| r(X_2213)
| r(skolemFOFtoCNF_Y_127(X_2213)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2213,skolemFOFtoCNF_Y_127(X_2213)) )],[refute_11_767,refute_11_755]) ).
cnf(refute_11_769,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| r(X_2215)
| r(skolemFOFtoCNF_Y_127(X_2215)) ),
inference(subst,[],[refute_11_768:[bind(X_2213,$fot(X_2215))]]) ).
cnf(refute_11_770,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_20
| p(X)
| q(skolemFOFtoCNF_X_131)
| r(X_2215) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2215)) )],[refute_11_769,refute_11_754]) ).
cnf(refute_11_771,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_20
| p(X_2230)
| q(skolemFOFtoCNF_X_131)
| r(X_2232) ),
inference(subst,[],[refute_11_770:[bind(X,$fot(X_2230)),bind(X_1248,$fot(skolemFOFtoCNF_X_126)),bind(X_2215,$fot(X_2232))]]) ).
cnf(refute_11_772,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(X_2230)
| q(skolemFOFtoCNF_X_131)
| r(X_2232) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_742,refute_11_771]) ).
cnf(refute_11_773,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| p(X_2233)
| q(skolemFOFtoCNF_X_131)
| r(X_2234) ),
inference(subst,[],[refute_11_772:[bind(X_2230,$fot(X_2233)),bind(X_2232,$fot(X_2234))]]) ).
cnf(refute_11_774,plain,
( definitionFOFtoCNF_20
| p(X_2233)
| q(skolemFOFtoCNF_X_131)
| r(X_2234) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_773]) ).
cnf(refute_11_775,plain,
( definitionFOFtoCNF_20
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_131)
| r(X_2236) ),
inference(subst,[],[refute_11_774:[bind(X_2233,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2234,$fot(X_2236))]]) ).
cnf(refute_11_776,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| r(X_2236) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_775,refute_11_47]) ).
cnf(refute_11_777,plain,
( ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| r(X_2238) ),
inference(subst,[],[refute_11_776:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_2236,$fot(X_2238))]]) ).
cnf(refute_11_778,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| r(X_2238) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_750,refute_11_777]) ).
cnf(refute_11_779,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| r(X_2240) ),
inference(subst,[],[refute_11_778:[bind(X_2238,$fot(X_2240))]]) ).
cnf(refute_11_780,plain,
( ~ definitionFOFtoCNF_26(X_2213,skolemFOFtoCNF_Y_127(X_2213))
| ~ r(X_2213)
| ~ r(skolemFOFtoCNF_Y_127(X_2213)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_2213)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2213)))]]) ).
cnf(refute_11_781,plain,
( ~ r(X_2213)
| ~ r(skolemFOFtoCNF_Y_127(X_2213))
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2213,skolemFOFtoCNF_Y_127(X_2213)) )],[refute_11_767,refute_11_780]) ).
cnf(refute_11_782,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131)
| r(skolemFOFtoCNF_Y_127(X_2213)) ),
inference(subst,[],[refute_11_778:[bind(X_2238,$fot(skolemFOFtoCNF_Y_127(X_2213)))]]) ).
cnf(refute_11_783,plain,
( ~ r(X_2213)
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2213)) )],[refute_11_782,refute_11_781]) ).
cnf(refute_11_784,plain,
( ~ r(X_2240)
| definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131) ),
inference(subst,[],[refute_11_783:[bind(X_2213,$fot(X_2240))]]) ).
cnf(refute_11_785,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_X_131) ),
inference(resolve,[$cnf( r(X_2240) )],[refute_11_779,refute_11_784]) ).
cnf(refute_11_786,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,Y)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_131) )],[refute_11_785,refute_11_235]) ).
cnf(refute_11_787,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,X_2241)
| q(X_2241) ),
inference(subst,[],[refute_11_786:[bind(Y,$fot(X_2241))]]) ).
cnf(refute_11_788,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(X_2241)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_131,X_2241) )],[refute_11_787,refute_11_753]) ).
cnf(refute_11_789,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| q(X_2244)
| s(X_2243) ),
inference(subst,[],[refute_11_788:[bind(Y0,$fot(X_2243)),bind(X_2241,$fot(X_2244))]]) ).
cnf(refute_11_790,plain,
( definitionFOFtoCNF_20
| q(X_2244)
| s(X_2243) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_789]) ).
cnf(refute_11_791,plain,
( definitionFOFtoCNF_20
| q(X_2246)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_790:[bind(X_2243,$fot(skolemFOFtoCNF_Y_123)),bind(X_2244,$fot(X_2246))]]) ).
cnf(refute_11_792,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_122(X))
| q(X_2246) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_791,refute_11_176]) ).
cnf(refute_11_793,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X_2247,skolemFOFtoCNF_Y_122(X_2247))
| q(X_2248) ),
inference(subst,[],[refute_11_792:[bind(X,$fot(X_2247)),bind(X_2246,$fot(X_2248))]]) ).
cnf(refute_11_794,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X_2247,skolemFOFtoCNF_Y_122(X_2247))
| q(X_2248) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_793]) ).
cnf(refute_11_795,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_25(X_2249,skolemFOFtoCNF_Y_122(X_2249))
| q(X_2250) ),
inference(subst,[],[refute_11_794:[bind(X_2247,$fot(X_2249)),bind(X_2248,$fot(X_2250))]]) ).
cnf(refute_11_796,plain,
( definitionFOFtoCNF_20
| q(X_2249)
| q(X_2250)
| q(skolemFOFtoCNF_Y_122(X_2249)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2249,skolemFOFtoCNF_Y_122(X_2249)) )],[refute_11_795,refute_11_752]) ).
cnf(refute_11_797,plain,
( definitionFOFtoCNF_20
| q(X_2251)
| q(skolemFOFtoCNF_Y_122(X_2251)) ),
inference(subst,[],[refute_11_796:[bind(X_2249,$fot(X_2251)),bind(X_2250,$fot(skolemFOFtoCNF_Y_122(X_2251)))]]) ).
cnf(refute_11_798,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ r(X0)
| definitionFOFtoCNF_20
| q(X_2251) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_122(X_2251)) )],[refute_11_797,refute_11_751]) ).
cnf(refute_11_799,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ r(skolemFOFtoCNF_Y_127(X_2277))
| definitionFOFtoCNF_20
| q(X_2251) ),
inference(subst,[],[refute_11_798:[bind(X0,$fot(skolemFOFtoCNF_Y_127(X_2277)))]]) ).
cnf(refute_11_800,plain,
( ~ definitionFOFtoCNF_26(X_2275,skolemFOFtoCNF_Y_127(X_2275))
| r(X_2275)
| r(skolemFOFtoCNF_Y_127(X_2275)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_2275)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2275)))]]) ).
cnf(refute_11_801,plain,
( definitionFOFtoCNF_20
| q(X_2246)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_790:[bind(X_2243,$fot(skolemFOFtoCNF_Y_128(X0))),bind(X_2244,$fot(X_2246))]]) ).
cnf(refute_11_802,plain,
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| q(X_2246) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_801,refute_11_232]) ).
cnf(refute_11_803,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2270,skolemFOFtoCNF_Y_127(X_2270))
| q(X_2272) ),
inference(subst,[],[refute_11_802:[bind(X,$fot(X_2270)),bind(X0,$fot(skolemFOFtoCNF_X_127)),bind(X_2246,$fot(X_2272))]]) ).
cnf(refute_11_804,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2270,skolemFOFtoCNF_Y_127(X_2270))
| q(X_2272) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_588,refute_11_803]) ).
cnf(refute_11_805,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2273,skolemFOFtoCNF_Y_127(X_2273))
| q(X_2274) ),
inference(subst,[],[refute_11_804:[bind(X_2270,$fot(X_2273)),bind(X_2272,$fot(X_2274))]]) ).
cnf(refute_11_806,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2273,skolemFOFtoCNF_Y_127(X_2273))
| q(X_2274) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_664,refute_11_805]) ).
cnf(refute_11_807,plain,
( definitionFOFtoCNF_20
| definitionFOFtoCNF_26(X_2275,skolemFOFtoCNF_Y_127(X_2275))
| q(X_2276) ),
inference(subst,[],[refute_11_806:[bind(X_2273,$fot(X_2275)),bind(X_2274,$fot(X_2276))]]) ).
cnf(refute_11_808,plain,
( definitionFOFtoCNF_20
| q(X_2276)
| r(X_2275)
| r(skolemFOFtoCNF_Y_127(X_2275)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2275,skolemFOFtoCNF_Y_127(X_2275)) )],[refute_11_807,refute_11_800]) ).
cnf(refute_11_809,plain,
( definitionFOFtoCNF_20
| q(X_2278)
| r(X_2277)
| r(skolemFOFtoCNF_Y_127(X_2277)) ),
inference(subst,[],[refute_11_808:[bind(X_2275,$fot(X_2277)),bind(X_2276,$fot(X_2278))]]) ).
cnf(refute_11_810,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| definitionFOFtoCNF_20
| q(X_2251)
| q(X_2278)
| r(X_2277) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2277)) )],[refute_11_809,refute_11_799]) ).
cnf(refute_11_811,plain,
( ~ definitionFOFtoCNF_22
| ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_20
| q(X_2319)
| q(X_2321)
| r(X_2320) ),
inference(subst,[],[refute_11_810:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_2251,$fot(X_2321)),bind(X_2277,$fot(X_2320)),bind(X_2278,$fot(X_2319))]]) ).
cnf(refute_11_812,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| q(X_2319)
| q(X_2321)
| r(X_2320) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_750,refute_11_811]) ).
cnf(refute_11_813,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20
| q(X_2322)
| q(X_2324)
| r(X_2323) ),
inference(subst,[],[refute_11_812:[bind(X_2319,$fot(X_2324)),bind(X_2320,$fot(X_2323)),bind(X_2321,$fot(X_2322))]]) ).
cnf(refute_11_814,plain,
( definitionFOFtoCNF_20
| q(X_2322)
| q(X_2324)
| r(X_2323) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_813]) ).
cnf(refute_11_815,plain,
( definitionFOFtoCNF_20
| q(X_2324)
| r(X_2328) ),
inference(subst,[],[refute_11_814:[bind(X_2322,$fot(X_2324)),bind(X_2323,$fot(X_2328))]]) ).
cnf(refute_11_816,plain,
( ~ definitionFOFtoCNF_26(X_2275,skolemFOFtoCNF_Y_127(X_2275))
| ~ r(X_2275)
| ~ r(skolemFOFtoCNF_Y_127(X_2275)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_2275)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2275)))]]) ).
cnf(refute_11_817,plain,
( ~ r(X_2275)
| ~ r(skolemFOFtoCNF_Y_127(X_2275))
| definitionFOFtoCNF_20
| q(X_2276) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2275,skolemFOFtoCNF_Y_127(X_2275)) )],[refute_11_807,refute_11_816]) ).
cnf(refute_11_818,plain,
( definitionFOFtoCNF_20
| q(X_2326)
| r(skolemFOFtoCNF_Y_127(X_2275)) ),
inference(subst,[],[refute_11_814:[bind(X_2322,$fot(X_2326)),bind(X_2323,$fot(skolemFOFtoCNF_Y_127(X_2275))),bind(X_2324,$fot(X_2326))]]) ).
cnf(refute_11_819,plain,
( ~ r(X_2275)
| definitionFOFtoCNF_20
| q(X_2276)
| q(X_2326) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2275)) )],[refute_11_818,refute_11_817]) ).
cnf(refute_11_820,plain,
( ~ r(X_2328)
| definitionFOFtoCNF_20
| q(X_2329)
| q(X_2330) ),
inference(subst,[],[refute_11_819:[bind(X_2275,$fot(X_2328)),bind(X_2276,$fot(X_2330)),bind(X_2326,$fot(X_2329))]]) ).
cnf(refute_11_821,plain,
( definitionFOFtoCNF_20
| q(X_2324)
| q(X_2329)
| q(X_2330) ),
inference(resolve,[$cnf( r(X_2328) )],[refute_11_815,refute_11_820]) ).
cnf(refute_11_822,plain,
( definitionFOFtoCNF_20
| q(skolemFOFtoCNF_Y_119) ),
inference(subst,[],[refute_11_821:[bind(X_2324,$fot(skolemFOFtoCNF_Y_119)),bind(X_2329,$fot(skolemFOFtoCNF_Y_119)),bind(X_2330,$fot(skolemFOFtoCNF_Y_119))]]) ).
cnf(refute_11_823,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| p(Y)
| r(Y1) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_119) )],[refute_11_822,refute_11_384]) ).
cnf(refute_11_824,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_20
| p(X_2332)
| r(X_2333) ),
inference(subst,[],[refute_11_823:[bind(Y,$fot(X_2332)),bind(Y1,$fot(X_2333))]]) ).
cnf(refute_11_825,plain,
( definitionFOFtoCNF_20
| p(X_2332)
| r(X_2333) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_515,refute_11_824]) ).
cnf(refute_11_826,plain,
( definitionFOFtoCNF_20
| p(skolemFOFtoCNF_Y_129(X))
| r(X_2335) ),
inference(subst,[],[refute_11_825:[bind(X_2332,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2333,$fot(X_2335))]]) ).
cnf(refute_11_827,plain,
( ~ p(X)
| definitionFOFtoCNF_20
| r(X_2335) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_826,refute_11_47]) ).
cnf(refute_11_828,plain,
( ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_20
| r(X_2337) ),
inference(subst,[],[refute_11_827:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_2335,$fot(X_2337))]]) ).
cnf(refute_11_829,plain,
( definitionFOFtoCNF_20
| r(X_2337) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_750,refute_11_828]) ).
cnf(refute_11_830,plain,
( definitionFOFtoCNF_20
| r(X_2340) ),
inference(subst,[],[refute_11_829:[bind(X_2337,$fot(X_2340))]]) ).
cnf(refute_11_831,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ q(X_2331)
| ~ r(X0) ),
inference(subst,[],[refute_11_419:[bind(X1,$fot(X_2331))]]) ).
cnf(refute_11_832,plain,
( definitionFOFtoCNF_20
| q(X_2331) ),
inference(subst,[],[refute_11_821:[bind(X_2324,$fot(X_2331)),bind(X_2329,$fot(X_2331)),bind(X_2330,$fot(X_2331))]]) ).
cnf(refute_11_833,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X)
| ~ r(X0)
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( q(X_2331) )],[refute_11_832,refute_11_831]) ).
cnf(refute_11_834,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X_2339)
| ~ r(X_2340)
| definitionFOFtoCNF_20 ),
inference(subst,[],[refute_11_833:[bind(X,$fot(X_2339)),bind(X0,$fot(X_2340))]]) ).
cnf(refute_11_835,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X_2339)
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( r(X_2340) )],[refute_11_830,refute_11_834]) ).
cnf(refute_11_836,plain,
( ~ definitionFOFtoCNF_22
| ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_20 ),
inference(subst,[],[refute_11_835:[bind(X_2339,$fot(skolemFOFtoCNF_X_120))]]) ).
cnf(refute_11_837,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_750,refute_11_836]) ).
cnf(refute_11_838,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_418,refute_11_837]) ).
cnf(refute_11_839,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_84]) ).
cnf(refute_11_840,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(X_2347) ),
inference(subst,[],[refute_11_839:[bind(Y0,$fot(X_2347))]]) ).
cnf(refute_11_841,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( s(X_2347) )],[refute_11_840,refute_11_78]) ).
cnf(refute_11_842,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_11_73]) ).
cnf(refute_11_843,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_842]) ).
cnf(refute_11_844,plain,
( ~ definitionFOFtoCNF_22
| ~ p(X_2342)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(subst,[],[refute_11_438:[bind(X,$fot(X_2342))]]) ).
cnf(refute_11_845,plain,
( definitionFOFtoCNF_21
| p(X)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_441]) ).
cnf(refute_11_846,plain,
( definitionFOFtoCNF_21
| p(X_2342)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(subst,[],[refute_11_845:[bind(X,$fot(X_2342))]]) ).
cnf(refute_11_847,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(resolve,[$cnf( p(X_2342) )],[refute_11_846,refute_11_844]) ).
cnf(refute_11_848,plain,
( definitionFOFtoCNF_21
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_124) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_847]) ).
cnf(refute_11_849,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_21
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_124) )],[refute_11_848,refute_11_516]) ).
cnf(refute_11_850,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_125(X_2637))
| definitionFOFtoCNF_21
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_849:[bind(X_1248,$fot(skolemFOFtoCNF_Y_125(X_2637)))]]) ).
cnf(refute_11_851,plain,
( ~ definitionFOFtoCNF_25(X_2635,skolemFOFtoCNF_Y_125(X_2635))
| q(X_2635)
| q(skolemFOFtoCNF_Y_125(X_2635)) ),
inference(subst,[],[refute_11_30:[bind(X,$fot(X_2635)),bind(Y,$fot(skolemFOFtoCNF_Y_125(X_2635)))]]) ).
cnf(refute_11_852,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1279)
| ~ r(X_1247)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1248,$fot(X_1279))]]) ).
cnf(refute_11_853,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1247)
| definitionFOFtoCNF_23
| p(X)
| r(X_1280) ),
inference(resolve,[$cnf( q(X_1279) )],[refute_11_425,refute_11_852]) ).
cnf(refute_11_854,plain,
( ~ definitionFOFtoCNF_22
| ~ r(skolemFOFtoCNF_Y_127(X_2535))
| definitionFOFtoCNF_23
| p(X)
| r(X_1280) ),
inference(subst,[],[refute_11_853:[bind(X_1247,$fot(skolemFOFtoCNF_Y_127(X_2535)))]]) ).
cnf(refute_11_855,plain,
( ~ definitionFOFtoCNF_26(X_2533,skolemFOFtoCNF_Y_127(X_2533))
| r(X_2533)
| r(skolemFOFtoCNF_Y_127(X_2533)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_2533)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2533)))]]) ).
cnf(refute_11_856,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_121(X_2369))
| definitionFOFtoCNF_21
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_849:[bind(X_1248,$fot(skolemFOFtoCNF_Y_121(X_2369)))]]) ).
cnf(refute_11_857,plain,
( ~ definitionFOFtoCNF_25(X_2367,skolemFOFtoCNF_Y_121(X_2367))
| q(X_2367)
| q(skolemFOFtoCNF_Y_121(X_2367)) ),
inference(subst,[],[refute_11_30:[bind(X,$fot(X_2367)),bind(Y,$fot(skolemFOFtoCNF_Y_121(X_2367)))]]) ).
cnf(refute_11_858,plain,
( definitionFOFtoCNF_23
| q(X_1277)
| r(X_1595) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_1277)),bind(Y1,$fot(X_1595)),bind(X_1278,$fot(X_1595))]]) ).
cnf(refute_11_859,plain,
( definitionFOFtoCNF_23
| q(X_1277)
| r(skolemFOFtoCNF_Y_126(X_1548)) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_1277)),bind(Y1,$fot(skolemFOFtoCNF_Y_126(X_1548))),bind(X_1278,$fot(skolemFOFtoCNF_Y_126(X_1548)))]]) ).
cnf(refute_11_860,plain,
( ~ definitionFOFtoCNF_26(X_1483,skolemFOFtoCNF_Y_126(X_1483))
| ~ r(X_1483)
| ~ r(skolemFOFtoCNF_Y_126(X_1483)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_1483)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_1483)))]]) ).
cnf(refute_11_861,plain,
( definitionFOFtoCNF_23
| q(X_1277)
| r(X_1359) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_1277)),bind(Y1,$fot(X_1359)),bind(X_1278,$fot(X_1359))]]) ).
cnf(refute_11_862,plain,
( definitionFOFtoCNF_23
| q(X_1279)
| r(skolemFOFtoCNF_Y_126(X_1243)) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_1279)),bind(Y1,$fot(skolemFOFtoCNF_Y_126(X_1243))),bind(X_1277,$fot(X_1279)),bind(X_1278,$fot(skolemFOFtoCNF_Y_126(X_1243)))]]) ).
cnf(refute_11_863,plain,
( ~ r(X_1243)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1279)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1243)) )],[refute_11_862,refute_11_145]) ).
cnf(refute_11_864,plain,
( ~ r(X_1359)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1360)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_863:[bind(X_1243,$fot(X_1359)),bind(X_1279,$fot(X_1360))]]) ).
cnf(refute_11_865,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1277)
| q(X_1360)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(X_1359) )],[refute_11_861,refute_11_864]) ).
cnf(refute_11_866,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1361)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_865:[bind(X_1277,$fot(X_1361)),bind(X_1360,$fot(X_1361))]]) ).
cnf(refute_11_867,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| q(X_1361)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_866,refute_11_36]) ).
cnf(refute_11_868,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_1483,skolemFOFtoCNF_Y_126(X_1483))
| q(X_1485)
| s(X_1484) ),
inference(subst,[],[refute_11_867:[bind(X,$fot(X_1483)),bind(Y0,$fot(X_1484)),bind(X_1361,$fot(X_1485))]]) ).
cnf(refute_11_869,plain,
( ~ r(X_1483)
| ~ r(skolemFOFtoCNF_Y_126(X_1483))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1485)
| s(X_1484) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1483,skolemFOFtoCNF_Y_126(X_1483)) )],[refute_11_868,refute_11_860]) ).
cnf(refute_11_870,plain,
( ~ r(X_1548)
| ~ r(skolemFOFtoCNF_Y_126(X_1548))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1550)
| s(X_1549) ),
inference(subst,[],[refute_11_869:[bind(X_1483,$fot(X_1548)),bind(X_1484,$fot(X_1549)),bind(X_1485,$fot(X_1550))]]) ).
cnf(refute_11_871,plain,
( ~ r(X_1548)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1277)
| q(X_1550)
| s(X_1549) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1548)) )],[refute_11_859,refute_11_870]) ).
cnf(refute_11_872,plain,
( ~ r(X_1595)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1594)
| q(X_1597)
| s(X_1596) ),
inference(subst,[],[refute_11_871:[bind(X_1277,$fot(X_1597)),bind(X_1548,$fot(X_1595)),bind(X_1549,$fot(X_1596)),bind(X_1550,$fot(X_1594))]]) ).
cnf(refute_11_873,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1277)
| q(X_1594)
| q(X_1597)
| s(X_1596) ),
inference(resolve,[$cnf( r(X_1595) )],[refute_11_858,refute_11_872]) ).
cnf(refute_11_874,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_1599)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_873:[bind(X_1277,$fot(X_1599)),bind(X_1594,$fot(X_1599)),bind(X_1596,$fot(skolemFOFtoCNF_Y_123)),bind(X_1597,$fot(X_1599))]]) ).
cnf(refute_11_875,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X))
| q(X_1599) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_874,refute_11_32]) ).
cnf(refute_11_876,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X))
| q(X_1599) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_875]) ).
cnf(refute_11_877,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_2367,skolemFOFtoCNF_Y_121(X_2367))
| q(X_2368) ),
inference(subst,[],[refute_11_876:[bind(X,$fot(X_2367)),bind(X_1599,$fot(X_2368))]]) ).
cnf(refute_11_878,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2367)
| q(X_2368)
| q(skolemFOFtoCNF_Y_121(X_2367)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2367,skolemFOFtoCNF_Y_121(X_2367)) )],[refute_11_877,refute_11_857]) ).
cnf(refute_11_879,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2369)
| q(skolemFOFtoCNF_Y_121(X_2369)) ),
inference(subst,[],[refute_11_878:[bind(X_2367,$fot(X_2369)),bind(X_2368,$fot(skolemFOFtoCNF_Y_121(X_2369)))]]) ).
cnf(refute_11_880,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X)
| q(X_2369)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_121(X_2369)) )],[refute_11_879,refute_11_856]) ).
cnf(refute_11_881,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2434)
| q(X_2435)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_880:[bind(X,$fot(X_2434)),bind(X_2369,$fot(X_2435))]]) ).
cnf(refute_11_882,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2434)
| q(X_2435)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_881]) ).
cnf(refute_11_883,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2437)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_882:[bind(X_2434,$fot(X_2437)),bind(X_2435,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_884,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_882:[bind(X_2434,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2435,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_885,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_884,refute_11_47]) ).
cnf(refute_11_886,plain,
( ~ p(X_2437)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_885:[bind(X,$fot(X_2437))]]) ).
cnf(refute_11_887,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(X_2437) )],[refute_11_883,refute_11_886]) ).
cnf(refute_11_888,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_120)
| r(X_1280)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_426]) ).
cnf(refute_11_889,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(subst,[],[refute_11_888:[bind(X_1280,$fot(skolemFOFtoCNF_X_121))]]) ).
cnf(refute_11_890,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_121) )],[refute_11_889,refute_11_422]) ).
cnf(refute_11_891,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_890:[bind(X_1248,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_892,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_887,refute_11_891]) ).
cnf(refute_11_893,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2440)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_892:[bind(X,$fot(X_2440))]]) ).
cnf(refute_11_894,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2440)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_893]) ).
cnf(refute_11_895,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_894:[bind(X_2440,$fot(skolemFOFtoCNF_X_120))]]) ).
cnf(refute_11_896,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| ~ r(X_1280)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1247,$fot(X_1280))]]) ).
cnf(refute_11_897,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_23
| p(X)
| q(X_1279) ),
inference(resolve,[$cnf( r(X_1280) )],[refute_11_425,refute_11_896]) ).
cnf(refute_11_898,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_23
| p(X)
| q(X_1279) ),
inference(subst,[],[refute_11_897:[bind(X_1248,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_899,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X)
| q(X_1279) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_887,refute_11_898]) ).
cnf(refute_11_900,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2441)
| q(X_2442) ),
inference(subst,[],[refute_11_899:[bind(X,$fot(X_2441)),bind(X_1279,$fot(X_2442))]]) ).
cnf(refute_11_901,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2441)
| q(X_2442) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_900]) ).
cnf(refute_11_902,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(X_2444) ),
inference(subst,[],[refute_11_901:[bind(X_2441,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2442,$fot(X_2444))]]) ).
cnf(refute_11_903,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2444) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_902,refute_11_47]) ).
cnf(refute_11_904,plain,
( ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2446) ),
inference(subst,[],[refute_11_903:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_2444,$fot(X_2446))]]) ).
cnf(refute_11_905,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2446) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_895,refute_11_904]) ).
cnf(refute_11_906,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_121(X_2486)) ),
inference(subst,[],[refute_11_905:[bind(X_2446,$fot(skolemFOFtoCNF_Y_121(X_2486)))]]) ).
cnf(refute_11_907,plain,
( ~ definitionFOFtoCNF_25(X_2485,skolemFOFtoCNF_Y_121(X_2485))
| ~ q(X_2485)
| ~ q(skolemFOFtoCNF_Y_121(X_2485)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_2485)),bind(Y,$fot(skolemFOFtoCNF_Y_121(X_2485)))]]) ).
cnf(refute_11_908,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_2447)
| ~ r(X_1247)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1248,$fot(X_2447))]]) ).
cnf(refute_11_909,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2447) ),
inference(subst,[],[refute_11_905:[bind(X_2446,$fot(X_2447))]]) ).
cnf(refute_11_910,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1247)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X) ),
inference(resolve,[$cnf( q(X_2447) )],[refute_11_909,refute_11_908]) ).
cnf(refute_11_911,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_2474)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X) ),
inference(subst,[],[refute_11_910:[bind(X_1247,$fot(X_2474))]]) ).
cnf(refute_11_912,plain,
( ~ definitionFOFtoCNF_26(X_2394,skolemFOFtoCNF_Y_126(X_2394))
| r(X_2394)
| r(skolemFOFtoCNF_Y_126(X_2394)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_2394)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_2394)))]]) ).
cnf(refute_11_913,plain,
( ~ definitionFOFtoCNF_26(X_1243,skolemFOFtoCNF_Y_126(X_1243))
| r(X_1243)
| r(skolemFOFtoCNF_Y_126(X_1243)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_1243)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_1243)))]]) ).
cnf(refute_11_914,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1243)
| r(skolemFOFtoCNF_Y_126(X_1243))
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_1243,skolemFOFtoCNF_Y_126(X_1243)) )],[refute_11_144,refute_11_913]) ).
cnf(refute_11_915,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1361)
| ~ r(X_1247)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1248,$fot(X_1361))]]) ).
cnf(refute_11_916,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1247)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( q(X_1361) )],[refute_11_866,refute_11_915]) ).
cnf(refute_11_917,plain,
( ~ definitionFOFtoCNF_22
| ~ r(skolemFOFtoCNF_Y_126(X_1243))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1441)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_916:[bind(X,$fot(X_1441)),bind(X_1247,$fot(skolemFOFtoCNF_Y_126(X_1243)))]]) ).
cnf(refute_11_918,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1441)
| r(X_1243)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1243)) )],[refute_11_914,refute_11_917]) ).
cnf(refute_11_919,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_1441)
| r(X_1243)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_918]) ).
cnf(refute_11_920,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2390)
| r(X_1243)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_919:[bind(X_1441,$fot(X_2390))]]) ).
cnf(refute_11_921,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| r(X_2377)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_919:[bind(X_1243,$fot(X_2377)),bind(X_1441,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_922,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2377)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_921,refute_11_47]) ).
cnf(refute_11_923,plain,
( ~ p(X_2390)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2391)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_922:[bind(X,$fot(X_2390)),bind(X_2377,$fot(X_2391))]]) ).
cnf(refute_11_924,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_1243)
| r(X_2391)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( p(X_2390) )],[refute_11_920,refute_11_923]) ).
cnf(refute_11_925,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2393)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_924:[bind(X_1243,$fot(X_2393)),bind(X_2391,$fot(X_2393))]]) ).
cnf(refute_11_926,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_126(X_1243))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_924:[bind(X_1243,$fot(skolemFOFtoCNF_Y_126(X_1243))),bind(X_2391,$fot(skolemFOFtoCNF_Y_126(X_1243)))]]) ).
cnf(refute_11_927,plain,
( ~ r(X_1243)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_1243)) )],[refute_11_926,refute_11_145]) ).
cnf(refute_11_928,plain,
( ~ r(X_2393)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_927:[bind(X_1243,$fot(X_2393))]]) ).
cnf(refute_11_929,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(X_2393) )],[refute_11_925,refute_11_928]) ).
cnf(refute_11_930,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_929,refute_11_36]) ).
cnf(refute_11_931,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_2394,skolemFOFtoCNF_Y_126(X_2394))
| s(X_2395) ),
inference(subst,[],[refute_11_930:[bind(X,$fot(X_2394)),bind(Y0,$fot(X_2395))]]) ).
cnf(refute_11_932,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2394)
| r(skolemFOFtoCNF_Y_126(X_2394))
| s(X_2395) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2394,skolemFOFtoCNF_Y_126(X_2394)) )],[refute_11_931,refute_11_912]) ).
cnf(refute_11_933,plain,
( ~ definitionFOFtoCNF_22
| ~ r(skolemFOFtoCNF_Y_126(X_2394))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2449) ),
inference(subst,[],[refute_11_910:[bind(X,$fot(X_2449)),bind(X_1247,$fot(skolemFOFtoCNF_Y_126(X_2394)))]]) ).
cnf(refute_11_934,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2449)
| r(X_2394)
| s(X_2395) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_2394)) )],[refute_11_932,refute_11_933]) ).
cnf(refute_11_935,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2467)
| r(X_2465)
| s(X_2466) ),
inference(subst,[],[refute_11_934:[bind(X_2394,$fot(X_2465)),bind(X_2395,$fot(X_2466)),bind(X_2449,$fot(X_2467))]]) ).
cnf(refute_11_936,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2467)
| r(X_2465)
| s(X_2466) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_935]) ).
cnf(refute_11_937,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| r(X_2468)
| s(X_2469) ),
inference(subst,[],[refute_11_936:[bind(X_2465,$fot(X_2468)),bind(X_2466,$fot(X_2469)),bind(X_2467,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_938,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2468)
| s(X_2469) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_937,refute_11_47]) ).
cnf(refute_11_939,plain,
( ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2472)
| s(X_2473) ),
inference(subst,[],[refute_11_938:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_2468,$fot(X_2472)),bind(X_2469,$fot(X_2473))]]) ).
cnf(refute_11_940,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2472)
| s(X_2473) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_895,refute_11_939]) ).
cnf(refute_11_941,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2474)
| s(X_2475) ),
inference(subst,[],[refute_11_940:[bind(X_2472,$fot(X_2474)),bind(X_2473,$fot(X_2475))]]) ).
cnf(refute_11_942,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X)
| s(X_2475) ),
inference(resolve,[$cnf( r(X_2474) )],[refute_11_941,refute_11_911]) ).
cnf(refute_11_943,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2478)
| s(X_2479) ),
inference(subst,[],[refute_11_942:[bind(X,$fot(X_2478)),bind(X_2475,$fot(X_2479))]]) ).
cnf(refute_11_944,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2478)
| s(X_2479) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_943]) ).
cnf(refute_11_945,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| s(X_2481) ),
inference(subst,[],[refute_11_944:[bind(X_2478,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2479,$fot(X_2481))]]) ).
cnf(refute_11_946,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_2481) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_945,refute_11_47]) ).
cnf(refute_11_947,plain,
( ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_2483) ),
inference(subst,[],[refute_11_946:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_2481,$fot(X_2483))]]) ).
cnf(refute_11_948,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(X_2483) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_895,refute_11_947]) ).
cnf(refute_11_949,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_948:[bind(X_2483,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_950,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_949,refute_11_32]) ).
cnf(refute_11_951,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_950]) ).
cnf(refute_11_952,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_2485,skolemFOFtoCNF_Y_121(X_2485)) ),
inference(subst,[],[refute_11_951:[bind(X,$fot(X_2485))]]) ).
cnf(refute_11_953,plain,
( ~ q(X_2485)
| ~ q(skolemFOFtoCNF_Y_121(X_2485))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2485,skolemFOFtoCNF_Y_121(X_2485)) )],[refute_11_952,refute_11_907]) ).
cnf(refute_11_954,plain,
( ~ q(X_2486)
| ~ q(skolemFOFtoCNF_Y_121(X_2486))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_953:[bind(X_2485,$fot(X_2486))]]) ).
cnf(refute_11_955,plain,
( ~ q(X_2486)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_121(X_2486)) )],[refute_11_906,refute_11_954]) ).
cnf(refute_11_956,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_955:[bind(X_2486,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_957,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_887,refute_11_956]) ).
cnf(refute_11_958,plain,
( definitionFOFtoCNF_23
| q(X_2496)
| r(X_1278) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(X_2496)),bind(Y1,$fot(X_1278)),bind(X_1277,$fot(X_2496))]]) ).
cnf(refute_11_959,plain,
( definitionFOFtoCNF_23
| q(skolemFOFtoCNF_Y_125(X_2491))
| r(X_1278) ),
inference(subst,[],[refute_11_63:[bind(Y0,$fot(skolemFOFtoCNF_Y_125(X_2491))),bind(Y1,$fot(X_1278)),bind(X_1277,$fot(skolemFOFtoCNF_Y_125(X_2491)))]]) ).
cnf(refute_11_960,plain,
( ~ definitionFOFtoCNF_25(X_2488,skolemFOFtoCNF_Y_125(X_2488))
| ~ q(X_2488)
| ~ q(skolemFOFtoCNF_Y_125(X_2488)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_2488)),bind(Y,$fot(skolemFOFtoCNF_Y_125(X_2488)))]]) ).
cnf(refute_11_961,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_957,refute_11_69]) ).
cnf(refute_11_962,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_961]) ).
cnf(refute_11_963,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_2488,skolemFOFtoCNF_Y_125(X_2488))
| s(X_2489) ),
inference(subst,[],[refute_11_962:[bind(X,$fot(X_2488)),bind(Y0,$fot(X_2489))]]) ).
cnf(refute_11_964,plain,
( ~ q(X_2488)
| ~ q(skolemFOFtoCNF_Y_125(X_2488))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| s(X_2489) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2488,skolemFOFtoCNF_Y_125(X_2488)) )],[refute_11_963,refute_11_960]) ).
cnf(refute_11_965,plain,
( ~ q(X_2491)
| ~ q(skolemFOFtoCNF_Y_125(X_2491))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| s(X_2492) ),
inference(subst,[],[refute_11_964:[bind(X_2488,$fot(X_2491)),bind(X_2489,$fot(X_2492))]]) ).
cnf(refute_11_966,plain,
( ~ q(X_2491)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_1278)
| s(X_2492) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2491)) )],[refute_11_959,refute_11_965]) ).
cnf(refute_11_967,plain,
( ~ q(X_2496)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_2495)
| s(X_2497) ),
inference(subst,[],[refute_11_966:[bind(X_1278,$fot(X_2495)),bind(X_2491,$fot(X_2496)),bind(X_2492,$fot(X_2497))]]) ).
cnf(refute_11_968,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_1278)
| r(X_2495)
| s(X_2497) ),
inference(resolve,[$cnf( q(X_2496) )],[refute_11_958,refute_11_967]) ).
cnf(refute_11_969,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_2498)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_968:[bind(X_1278,$fot(X_2498)),bind(X_2495,$fot(X_2498)),bind(X_2497,$fot(skolemFOFtoCNF_Y_128(X0)))]]) ).
cnf(refute_11_970,plain,
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| r(X_2498) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_969,refute_11_232]) ).
cnf(refute_11_971,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2528,skolemFOFtoCNF_Y_127(X_2528))
| r(X_2530) ),
inference(subst,[],[refute_11_970:[bind(X,$fot(X_2528)),bind(X0,$fot(skolemFOFtoCNF_X_127)),bind(X_2498,$fot(X_2530))]]) ).
cnf(refute_11_972,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2528,skolemFOFtoCNF_Y_127(X_2528))
| r(X_2530) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_141,refute_11_971]) ).
cnf(refute_11_973,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2531,skolemFOFtoCNF_Y_127(X_2531))
| r(X_2532) ),
inference(subst,[],[refute_11_972:[bind(X_2528,$fot(X_2531)),bind(X_2530,$fot(X_2532))]]) ).
cnf(refute_11_974,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2531,skolemFOFtoCNF_Y_127(X_2531))
| r(X_2532) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_957,refute_11_973]) ).
cnf(refute_11_975,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2533,skolemFOFtoCNF_Y_127(X_2533))
| r(X_2534) ),
inference(subst,[],[refute_11_974:[bind(X_2531,$fot(X_2533)),bind(X_2532,$fot(X_2534))]]) ).
cnf(refute_11_976,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_2533)
| r(X_2534)
| r(skolemFOFtoCNF_Y_127(X_2533)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2533,skolemFOFtoCNF_Y_127(X_2533)) )],[refute_11_975,refute_11_855]) ).
cnf(refute_11_977,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_2535)
| r(skolemFOFtoCNF_Y_127(X_2535)) ),
inference(subst,[],[refute_11_976:[bind(X_2533,$fot(X_2535)),bind(X_2534,$fot(skolemFOFtoCNF_Y_127(X_2535)))]]) ).
cnf(refute_11_978,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X)
| r(X_1280)
| r(X_2535) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2535)) )],[refute_11_977,refute_11_854]) ).
cnf(refute_11_979,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2542)
| r(X_2543)
| r(X_2544) ),
inference(subst,[],[refute_11_978:[bind(X,$fot(X_2542)),bind(X_1280,$fot(X_2544)),bind(X_2535,$fot(X_2543))]]) ).
cnf(refute_11_980,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2542)
| r(X_2543)
| r(X_2544) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_979]) ).
cnf(refute_11_981,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2547)
| r(X_2544) ),
inference(subst,[],[refute_11_980:[bind(X_2542,$fot(X_2547)),bind(X_2543,$fot(X_2544))]]) ).
cnf(refute_11_982,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_Y_129(X))
| r(X_2546) ),
inference(subst,[],[refute_11_980:[bind(X_2542,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2543,$fot(X_2546)),bind(X_2544,$fot(X_2546))]]) ).
cnf(refute_11_983,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_2546) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_982,refute_11_47]) ).
cnf(refute_11_984,plain,
( ~ p(X_2547)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_2548) ),
inference(subst,[],[refute_11_983:[bind(X,$fot(X_2547)),bind(X_2546,$fot(X_2548))]]) ).
cnf(refute_11_985,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_2544)
| r(X_2548) ),
inference(resolve,[$cnf( p(X_2547) )],[refute_11_981,refute_11_984]) ).
cnf(refute_11_986,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_2578) ),
inference(subst,[],[refute_11_985:[bind(X_2544,$fot(X_2578)),bind(X_2548,$fot(X_2578))]]) ).
cnf(refute_11_987,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_Y_127(X_2577)) ),
inference(subst,[],[refute_11_985:[bind(X_2544,$fot(skolemFOFtoCNF_Y_127(X_2577))),bind(X_2548,$fot(skolemFOFtoCNF_Y_127(X_2577)))]]) ).
cnf(refute_11_988,plain,
( ~ definitionFOFtoCNF_26(X_2576,skolemFOFtoCNF_Y_127(X_2576))
| ~ r(X_2576)
| ~ r(skolemFOFtoCNF_Y_127(X_2576)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_2576)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2576)))]]) ).
cnf(refute_11_989,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1280)
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_436:[bind(X,$fot(X_1280))]]) ).
cnf(refute_11_990,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_125)
| q(X_1279)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(X_1280) )],[refute_11_425,refute_11_989]) ).
cnf(refute_11_991,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_125)
| q(X_1279)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_990]) ).
cnf(refute_11_992,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_991:[bind(X_1279,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_993,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X)
| p(skolemFOFtoCNF_X_125)
| q(X_1279) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_992,refute_11_898]) ).
cnf(refute_11_994,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2379)
| p(skolemFOFtoCNF_X_125)
| q(X_2380) ),
inference(subst,[],[refute_11_993:[bind(X,$fot(X_2379)),bind(X_1279,$fot(X_2380))]]) ).
cnf(refute_11_995,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2379)
| p(skolemFOFtoCNF_X_125)
| q(X_2380) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_994]) ).
cnf(refute_11_996,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2379)
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_Y_112) ),
inference(subst,[],[refute_11_995:[bind(X_2380,$fot(skolemFOFtoCNF_Y_112))]]) ).
cnf(refute_11_997,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_985:[bind(X_2544,$fot(skolemFOFtoCNF_Y_116)),bind(X_2548,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_998,plain,
( ~ q(skolemFOFtoCNF_Y_112)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_997,refute_11_91]) ).
cnf(refute_11_999,plain,
( ~ q(skolemFOFtoCNF_Y_112)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2550) ),
inference(subst,[],[refute_11_998:[bind(Y,$fot(X_2550))]]) ).
cnf(refute_11_1000,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2379)
| p(X_2550)
| p(skolemFOFtoCNF_X_125) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_112) )],[refute_11_996,refute_11_999]) ).
cnf(refute_11_1001,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_X_125) ),
inference(subst,[],[refute_11_1000:[bind(X_2379,$fot(skolemFOFtoCNF_X_125)),bind(X_2550,$fot(skolemFOFtoCNF_X_125))]]) ).
cnf(refute_11_1002,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| ~ r(X_2549)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1247,$fot(X_2549))]]) ).
cnf(refute_11_1003,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| r(X_2549) ),
inference(subst,[],[refute_11_985:[bind(X_2544,$fot(X_2549)),bind(X_2548,$fot(X_2549))]]) ).
cnf(refute_11_1004,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X) ),
inference(resolve,[$cnf( r(X_2549) )],[refute_11_1003,refute_11_1002]) ).
cnf(refute_11_1005,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_2564)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X) ),
inference(subst,[],[refute_11_1004:[bind(X_1248,$fot(X_2564))]]) ).
cnf(refute_11_1006,plain,
( ~ definitionFOFtoCNF_25(X_2488,skolemFOFtoCNF_Y_125(X_2488))
| q(X_2488)
| q(skolemFOFtoCNF_Y_125(X_2488)) ),
inference(subst,[],[refute_11_30:[bind(X,$fot(X_2488)),bind(Y,$fot(skolemFOFtoCNF_Y_125(X_2488)))]]) ).
cnf(refute_11_1007,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| q(X_2488)
| q(skolemFOFtoCNF_Y_125(X_2488))
| s(X_2489) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2488,skolemFOFtoCNF_Y_125(X_2488)) )],[refute_11_963,refute_11_1006]) ).
cnf(refute_11_1008,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_125(X_2488))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2553) ),
inference(subst,[],[refute_11_1004:[bind(X,$fot(X_2553)),bind(X_1248,$fot(skolemFOFtoCNF_Y_125(X_2488)))]]) ).
cnf(refute_11_1009,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2553)
| q(X_2488)
| s(X_2489) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2488)) )],[refute_11_1007,refute_11_1008]) ).
cnf(refute_11_1010,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2557)
| q(X_2555)
| s(X_2556) ),
inference(subst,[],[refute_11_1009:[bind(X_2488,$fot(X_2555)),bind(X_2489,$fot(X_2556)),bind(X_2553,$fot(X_2557))]]) ).
cnf(refute_11_1011,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2557)
| q(X_2555)
| s(X_2556) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1010]) ).
cnf(refute_11_1012,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_Y_129(X))
| q(X_2558)
| s(X_2559) ),
inference(subst,[],[refute_11_1011:[bind(X_2555,$fot(X_2558)),bind(X_2556,$fot(X_2559)),bind(X_2557,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_1013,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| q(X_2558)
| s(X_2559) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1012,refute_11_47]) ).
cnf(refute_11_1014,plain,
( ~ p(skolemFOFtoCNF_X_125)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| q(X_2562)
| s(X_2563) ),
inference(subst,[],[refute_11_1013:[bind(X,$fot(skolemFOFtoCNF_X_125)),bind(X_2558,$fot(X_2562)),bind(X_2559,$fot(X_2563))]]) ).
cnf(refute_11_1015,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| q(X_2562)
| s(X_2563) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_125) )],[refute_11_1001,refute_11_1014]) ).
cnf(refute_11_1016,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| q(X_2564)
| s(X_2565) ),
inference(subst,[],[refute_11_1015:[bind(X_2562,$fot(X_2564)),bind(X_2563,$fot(X_2565))]]) ).
cnf(refute_11_1017,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X)
| s(X_2565) ),
inference(resolve,[$cnf( q(X_2564) )],[refute_11_1016,refute_11_1005]) ).
cnf(refute_11_1018,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2566)
| s(X_2567) ),
inference(subst,[],[refute_11_1017:[bind(X,$fot(X_2566)),bind(X_2565,$fot(X_2567))]]) ).
cnf(refute_11_1019,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(X_2566)
| s(X_2567) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1018]) ).
cnf(refute_11_1020,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| p(skolemFOFtoCNF_Y_129(X))
| s(X_2569) ),
inference(subst,[],[refute_11_1019:[bind(X_2566,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2567,$fot(X_2569))]]) ).
cnf(refute_11_1021,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| s(X_2569) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1020,refute_11_47]) ).
cnf(refute_11_1022,plain,
( ~ p(skolemFOFtoCNF_X_125)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| s(X_2571) ),
inference(subst,[],[refute_11_1021:[bind(X,$fot(skolemFOFtoCNF_X_125)),bind(X_2569,$fot(X_2571))]]) ).
cnf(refute_11_1023,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| s(X_2571) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_125) )],[refute_11_1001,refute_11_1022]) ).
cnf(refute_11_1024,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_1023:[bind(X_2571,$fot(skolemFOFtoCNF_Y_128(X0)))]]) ).
cnf(refute_11_1025,plain,
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_1024,refute_11_232]) ).
cnf(refute_11_1026,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2573,skolemFOFtoCNF_Y_127(X_2573)) ),
inference(subst,[],[refute_11_1025:[bind(X,$fot(X_2573)),bind(X0,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_1027,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2573,skolemFOFtoCNF_Y_127(X_2573)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_141,refute_11_1026]) ).
cnf(refute_11_1028,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2575,skolemFOFtoCNF_Y_127(X_2575)) ),
inference(subst,[],[refute_11_1027:[bind(X_2573,$fot(X_2575))]]) ).
cnf(refute_11_1029,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2575,skolemFOFtoCNF_Y_127(X_2575)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_957,refute_11_1028]) ).
cnf(refute_11_1030,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2576,skolemFOFtoCNF_Y_127(X_2576)) ),
inference(subst,[],[refute_11_1029:[bind(X_2575,$fot(X_2576))]]) ).
cnf(refute_11_1031,plain,
( ~ r(X_2576)
| ~ r(skolemFOFtoCNF_Y_127(X_2576))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2576,skolemFOFtoCNF_Y_127(X_2576)) )],[refute_11_1030,refute_11_988]) ).
cnf(refute_11_1032,plain,
( ~ r(X_2577)
| ~ r(skolemFOFtoCNF_Y_127(X_2577))
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_1031:[bind(X_2576,$fot(X_2577))]]) ).
cnf(refute_11_1033,plain,
( ~ r(X_2577)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2577)) )],[refute_11_987,refute_11_1032]) ).
cnf(refute_11_1034,plain,
( ~ r(X_2578)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_1033:[bind(X_2577,$fot(X_2578))]]) ).
cnf(refute_11_1035,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( r(X_2578) )],[refute_11_986,refute_11_1034]) ).
cnf(refute_11_1036,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_2633)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_2633))]]) ).
cnf(refute_11_1037,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_2615)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_2615))]]) ).
cnf(refute_11_1038,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2613)
| definitionFOFtoCNF_24
| s(Y0) ),
inference(subst,[],[refute_11_74:[bind(Y,$fot(X_2613))]]) ).
cnf(refute_11_1039,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_2611)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_2611))]]) ).
cnf(refute_11_1040,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_2584)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_2584))]]) ).
cnf(refute_11_1041,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2580)
| definitionFOFtoCNF_24
| s(Y0) ),
inference(subst,[],[refute_11_74:[bind(Y,$fot(X_2580))]]) ).
cnf(refute_11_1042,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_2349)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_2349))]]) ).
cnf(refute_11_1043,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_124) )],[refute_11_848,refute_11_437]) ).
cnf(refute_11_1044,plain,
( definitionFOFtoCNF_21
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1043]) ).
cnf(refute_11_1045,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_X_126)
| p(skolemFOFtoCNF_X_125)
| q(X) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1044,refute_11_81]) ).
cnf(refute_11_1046,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,skolemFOFtoCNF_X_126)
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_130) ),
inference(subst,[],[refute_11_1045:[bind(X,$fot(skolemFOFtoCNF_X_130))]]) ).
cnf(refute_11_1047,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_130)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,skolemFOFtoCNF_X_126) )],[refute_11_1046,refute_11_79]) ).
cnf(refute_11_1048,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_130)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1047]) ).
cnf(refute_11_1049,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_130)
| s(X_2349) ),
inference(subst,[],[refute_11_1048:[bind(Y0,$fot(X_2349))]]) ).
cnf(refute_11_1050,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( s(X_2349) )],[refute_11_1049,refute_11_1042]) ).
cnf(refute_11_1051,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1050]) ).
cnf(refute_11_1052,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,Y)
| p(skolemFOFtoCNF_X_125)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_130) )],[refute_11_1051,refute_11_77]) ).
cnf(refute_11_1053,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2580)
| p(skolemFOFtoCNF_X_125)
| q(X_2580) ),
inference(subst,[],[refute_11_1052:[bind(Y,$fot(X_2580))]]) ).
cnf(refute_11_1054,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(X_2580)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2580) )],[refute_11_1053,refute_11_1041]) ).
cnf(refute_11_1055,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(X_2580)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1054]) ).
cnf(refute_11_1056,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(X_2585)
| s(X_2584) ),
inference(subst,[],[refute_11_1055:[bind(Y0,$fot(X_2584)),bind(X_2580,$fot(X_2585))]]) ).
cnf(refute_11_1057,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(X_2585) ),
inference(resolve,[$cnf( s(X_2584) )],[refute_11_1056,refute_11_1040]) ).
cnf(refute_11_1058,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(X_2586) ),
inference(subst,[],[refute_11_1057:[bind(X_2585,$fot(X_2586))]]) ).
cnf(refute_11_1059,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(X_2586) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1058]) ).
cnf(refute_11_1060,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(skolemFOFtoCNF_Y_119) ),
inference(subst,[],[refute_11_1059:[bind(X_2586,$fot(skolemFOFtoCNF_Y_119))]]) ).
cnf(refute_11_1061,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(Y)
| p(skolemFOFtoCNF_X_125)
| r(Y1) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_119) )],[refute_11_1060,refute_11_384]) ).
cnf(refute_11_1062,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2588)
| p(skolemFOFtoCNF_X_125)
| r(X_2589) ),
inference(subst,[],[refute_11_1061:[bind(Y,$fot(X_2588)),bind(Y1,$fot(X_2589))]]) ).
cnf(refute_11_1063,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2588)
| p(skolemFOFtoCNF_X_125)
| r(X_2589) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1062]) ).
cnf(refute_11_1064,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2588)
| p(skolemFOFtoCNF_X_125)
| r(X_2595) ),
inference(subst,[],[refute_11_1063:[bind(X_2589,$fot(X_2595))]]) ).
cnf(refute_11_1065,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_2587)
| ~ r(X_1247)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1248,$fot(X_2587))]]) ).
cnf(refute_11_1066,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125)
| q(X_2587) ),
inference(subst,[],[refute_11_1059:[bind(X_2586,$fot(X_2587))]]) ).
cnf(refute_11_1067,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1247)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X)
| p(skolemFOFtoCNF_X_125) ),
inference(resolve,[$cnf( q(X_2587) )],[refute_11_1066,refute_11_1065]) ).
cnf(refute_11_1068,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_2595)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2594)
| p(skolemFOFtoCNF_X_125) ),
inference(subst,[],[refute_11_1067:[bind(X,$fot(X_2594)),bind(X_1247,$fot(X_2595))]]) ).
cnf(refute_11_1069,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2588)
| p(X_2594)
| p(skolemFOFtoCNF_X_125) ),
inference(resolve,[$cnf( r(X_2595) )],[refute_11_1064,refute_11_1068]) ).
cnf(refute_11_1070,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2596)
| p(X_2597)
| p(skolemFOFtoCNF_X_125) ),
inference(subst,[],[refute_11_1069:[bind(X_2588,$fot(X_2597)),bind(X_2594,$fot(X_2596))]]) ).
cnf(refute_11_1071,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2596)
| p(X_2597)
| p(skolemFOFtoCNF_X_125) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1070]) ).
cnf(refute_11_1072,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_125) ),
inference(subst,[],[refute_11_1071:[bind(X_2596,$fot(skolemFOFtoCNF_X_125)),bind(X_2597,$fot(skolemFOFtoCNF_X_125))]]) ).
cnf(refute_11_1073,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_2602)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_2602))]]) ).
cnf(refute_11_1074,plain,
( ~ definitionFOFtoCNF_23
| ~ s(skolemFOFtoCNF_Y_128(X_2598))
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_2598)))]]) ).
cnf(refute_11_1075,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2582)
| definitionFOFtoCNF_24
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_318:[bind(Y,$fot(X_2582))]]) ).
cnf(refute_11_1076,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_2579)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_2579))]]) ).
cnf(refute_11_1077,plain,
( ~ definitionFOFtoCNF_23
| ~ s(skolemFOFtoCNF_Y_128(X_2370))
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_2370)))]]) ).
cnf(refute_11_1078,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_124)
| definitionFOFtoCNF_24
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_318:[bind(Y,$fot(skolemFOFtoCNF_X_124))]]) ).
cnf(refute_11_1079,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_X_124)
| q(skolemFOFtoCNF_X_126)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_124) )],[refute_11_848,refute_11_528]) ).
cnf(refute_11_1080,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_124)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_1079:[bind(X,$fot(skolemFOFtoCNF_X_134))]]) ).
cnf(refute_11_1081,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134)
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_124) )],[refute_11_1080,refute_11_1078]) ).
cnf(refute_11_1082,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134)
| s(X_2370)
| s(skolemFOFtoCNF_Y_128(X_2370)) ),
inference(subst,[],[refute_11_1081:[bind(X0,$fot(X_2370))]]) ).
cnf(refute_11_1083,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134)
| s(X_2370) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_2370)) )],[refute_11_1082,refute_11_1077]) ).
cnf(refute_11_1084,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134)
| s(X_2370) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1083]) ).
cnf(refute_11_1085,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134)
| s(X_2579) ),
inference(subst,[],[refute_11_1084:[bind(X_2370,$fot(X_2579))]]) ).
cnf(refute_11_1086,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( s(X_2579) )],[refute_11_1085,refute_11_1076]) ).
cnf(refute_11_1087,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1086]) ).
cnf(refute_11_1088,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| q(skolemFOFtoCNF_X_126)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_134) )],[refute_11_1087,refute_11_116]) ).
cnf(refute_11_1089,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2582)
| q(skolemFOFtoCNF_X_126)
| r(X_2582) ),
inference(subst,[],[refute_11_1088:[bind(Y,$fot(X_2582))]]) ).
cnf(refute_11_1090,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2582)
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2582) )],[refute_11_1089,refute_11_1075]) ).
cnf(refute_11_1091,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2599)
| s(X_2598)
| s(skolemFOFtoCNF_Y_128(X_2598)) ),
inference(subst,[],[refute_11_1090:[bind(X0,$fot(X_2598)),bind(X_2582,$fot(X_2599))]]) ).
cnf(refute_11_1092,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2599)
| s(X_2598) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_2598)) )],[refute_11_1091,refute_11_1074]) ).
cnf(refute_11_1093,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2601)
| s(X_2600) ),
inference(subst,[],[refute_11_1092:[bind(X_2598,$fot(X_2600)),bind(X_2599,$fot(X_2601))]]) ).
cnf(refute_11_1094,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2601)
| s(X_2600) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1093]) ).
cnf(refute_11_1095,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2603)
| s(X_2602) ),
inference(subst,[],[refute_11_1094:[bind(X_2600,$fot(X_2602)),bind(X_2601,$fot(X_2603))]]) ).
cnf(refute_11_1096,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2603) ),
inference(resolve,[$cnf( s(X_2602) )],[refute_11_1095,refute_11_1073]) ).
cnf(refute_11_1097,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2604) ),
inference(subst,[],[refute_11_1096:[bind(X_2603,$fot(X_2604))]]) ).
cnf(refute_11_1098,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2604) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1097]) ).
cnf(refute_11_1099,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_1098:[bind(X_2604,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_1100,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(Y)
| q(Y0)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_1099,refute_11_314]) ).
cnf(refute_11_1101,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2606)
| q(X_2607)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1100:[bind(Y,$fot(X_2606)),bind(Y0,$fot(X_2607))]]) ).
cnf(refute_11_1102,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2606)
| q(X_2607)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1101]) ).
cnf(refute_11_1103,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1102:[bind(X_2606,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2607,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1104,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1103,refute_11_47]) ).
cnf(refute_11_1105,plain,
( ~ p(skolemFOFtoCNF_X_125)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1104:[bind(X,$fot(skolemFOFtoCNF_X_125))]]) ).
cnf(refute_11_1106,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_125) )],[refute_11_1072,refute_11_1105]) ).
cnf(refute_11_1107,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_X_126)
| q(X) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1106,refute_11_81]) ).
cnf(refute_11_1108,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_X_130) ),
inference(subst,[],[refute_11_1107:[bind(X,$fot(skolemFOFtoCNF_X_130))]]) ).
cnf(refute_11_1109,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,skolemFOFtoCNF_X_126) )],[refute_11_1108,refute_11_79]) ).
cnf(refute_11_1110,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1109]) ).
cnf(refute_11_1111,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(X_2611) ),
inference(subst,[],[refute_11_1110:[bind(Y0,$fot(X_2611))]]) ).
cnf(refute_11_1112,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( s(X_2611) )],[refute_11_1111,refute_11_1039]) ).
cnf(refute_11_1113,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1112]) ).
cnf(refute_11_1114,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,Y)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_130) )],[refute_11_1113,refute_11_77]) ).
cnf(refute_11_1115,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2613)
| q(X_2613) ),
inference(subst,[],[refute_11_1114:[bind(Y,$fot(X_2613))]]) ).
cnf(refute_11_1116,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(X_2613)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2613) )],[refute_11_1115,refute_11_1038]) ).
cnf(refute_11_1117,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(X_2613)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1116]) ).
cnf(refute_11_1118,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(X_2616)
| s(X_2615) ),
inference(subst,[],[refute_11_1117:[bind(Y0,$fot(X_2615)),bind(X_2613,$fot(X_2616))]]) ).
cnf(refute_11_1119,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(X_2616) ),
inference(resolve,[$cnf( s(X_2615) )],[refute_11_1118,refute_11_1037]) ).
cnf(refute_11_1120,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(X_2617) ),
inference(subst,[],[refute_11_1119:[bind(X_2616,$fot(X_2617))]]) ).
cnf(refute_11_1121,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(X_2617) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1120]) ).
cnf(refute_11_1122,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_115) ),
inference(subst,[],[refute_11_1121:[bind(X_2617,$fot(skolemFOFtoCNF_Y_115))]]) ).
cnf(refute_11_1123,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_119) ),
inference(subst,[],[refute_11_1121:[bind(X_2617,$fot(skolemFOFtoCNF_Y_119))]]) ).
cnf(refute_11_1124,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(Y)
| r(Y1) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_119) )],[refute_11_1123,refute_11_384]) ).
cnf(refute_11_1125,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2621)
| r(X_2622) ),
inference(subst,[],[refute_11_1124:[bind(Y,$fot(X_2621)),bind(Y1,$fot(X_2622))]]) ).
cnf(refute_11_1126,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2621)
| r(X_2622) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1125]) ).
cnf(refute_11_1127,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| r(X_2624) ),
inference(subst,[],[refute_11_1126:[bind(X_2621,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2622,$fot(X_2624))]]) ).
cnf(refute_11_1128,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| r(X_2624) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1127,refute_11_47]) ).
cnf(refute_11_1129,plain,
( ~ p(skolemFOFtoCNF_X_125)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| r(X_2626) ),
inference(subst,[],[refute_11_1128:[bind(X,$fot(skolemFOFtoCNF_X_125)),bind(X_2624,$fot(X_2626))]]) ).
cnf(refute_11_1130,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| r(X_2626) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_125) )],[refute_11_1072,refute_11_1129]) ).
cnf(refute_11_1131,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_1130:[bind(X_2626,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_1132,plain,
( ~ definitionFOFtoCNF_23
| ~ p(skolemFOFtoCNF_Y_114)
| ~ q(skolemFOFtoCNF_Y_115)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_1131,refute_11_642]) ).
cnf(refute_11_1133,plain,
( ~ definitionFOFtoCNF_23
| ~ p(skolemFOFtoCNF_Y_114)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_115) )],[refute_11_1122,refute_11_1132]) ).
cnf(refute_11_1134,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| r(X_2629) ),
inference(subst,[],[refute_11_1130:[bind(X_2626,$fot(X_2629))]]) ).
cnf(refute_11_1135,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_2618)
| ~ r(X_1247)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1248,$fot(X_2618))]]) ).
cnf(refute_11_1136,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| q(X_2618) ),
inference(subst,[],[refute_11_1121:[bind(X_2617,$fot(X_2618))]]) ).
cnf(refute_11_1137,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1247)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X) ),
inference(resolve,[$cnf( q(X_2618) )],[refute_11_1136,refute_11_1135]) ).
cnf(refute_11_1138,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_2629)
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2628) ),
inference(subst,[],[refute_11_1137:[bind(X,$fot(X_2628)),bind(X_1247,$fot(X_2629))]]) ).
cnf(refute_11_1139,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2628) ),
inference(resolve,[$cnf( r(X_2629) )],[refute_11_1134,refute_11_1138]) ).
cnf(refute_11_1140,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2630) ),
inference(subst,[],[refute_11_1139:[bind(X_2628,$fot(X_2630))]]) ).
cnf(refute_11_1141,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(X_2630) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1140]) ).
cnf(refute_11_1142,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_114) ),
inference(subst,[],[refute_11_1141:[bind(X_2630,$fot(skolemFOFtoCNF_Y_114))]]) ).
cnf(refute_11_1143,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_114) )],[refute_11_1142,refute_11_1133]) ).
cnf(refute_11_1144,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1143]) ).
cnf(refute_11_1145,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1144,refute_11_69]) ).
cnf(refute_11_1146,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1145]) ).
cnf(refute_11_1147,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_25(X_2632,skolemFOFtoCNF_Y_125(X_2632))
| s(X_2633) ),
inference(subst,[],[refute_11_1146:[bind(X,$fot(X_2632)),bind(Y0,$fot(X_2633))]]) ).
cnf(refute_11_1148,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_25(X_2632,skolemFOFtoCNF_Y_125(X_2632)) ),
inference(resolve,[$cnf( s(X_2633) )],[refute_11_1147,refute_11_1036]) ).
cnf(refute_11_1149,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_25(X_2634,skolemFOFtoCNF_Y_125(X_2634)) ),
inference(subst,[],[refute_11_1148:[bind(X_2632,$fot(X_2634))]]) ).
cnf(refute_11_1150,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_25(X_2634,skolemFOFtoCNF_Y_125(X_2634)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1149]) ).
cnf(refute_11_1151,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_25(X_2635,skolemFOFtoCNF_Y_125(X_2635)) ),
inference(subst,[],[refute_11_1150:[bind(X_2634,$fot(X_2635))]]) ).
cnf(refute_11_1152,plain,
( definitionFOFtoCNF_21
| q(X_2635)
| q(skolemFOFtoCNF_Y_125(X_2635)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2635,skolemFOFtoCNF_Y_125(X_2635)) )],[refute_11_1151,refute_11_851]) ).
cnf(refute_11_1153,plain,
( definitionFOFtoCNF_21
| q(X_2637)
| q(skolemFOFtoCNF_Y_125(X_2637)) ),
inference(subst,[],[refute_11_1152:[bind(X_2635,$fot(X_2637))]]) ).
cnf(refute_11_1154,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(X)
| q(X_2637)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2637)) )],[refute_11_1153,refute_11_850]) ).
cnf(refute_11_1155,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(X_2667)
| q(X_2668)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1154:[bind(X,$fot(X_2667)),bind(X_2637,$fot(X_2668))]]) ).
cnf(refute_11_1156,plain,
( definitionFOFtoCNF_21
| p(X_2667)
| q(X_2668)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1155]) ).
cnf(refute_11_1157,plain,
( definitionFOFtoCNF_21
| p(X_2670)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1156:[bind(X_2667,$fot(X_2670)),bind(X_2668,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1158,plain,
( definitionFOFtoCNF_21
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1156:[bind(X_2667,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2668,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1159,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1158,refute_11_47]) ).
cnf(refute_11_1160,plain,
( ~ p(X_2670)
| definitionFOFtoCNF_21
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1159:[bind(X,$fot(X_2670))]]) ).
cnf(refute_11_1161,plain,
( definitionFOFtoCNF_21
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(X_2670) )],[refute_11_1157,refute_11_1160]) ).
cnf(refute_11_1162,plain,
( ~ definitionFOFtoCNF_25(X_2635,skolemFOFtoCNF_Y_125(X_2635))
| ~ q(X_2635)
| ~ q(skolemFOFtoCNF_Y_125(X_2635)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_2635)),bind(Y,$fot(skolemFOFtoCNF_Y_125(X_2635)))]]) ).
cnf(refute_11_1163,plain,
( ~ q(X_2635)
| ~ q(skolemFOFtoCNF_Y_125(X_2635))
| definitionFOFtoCNF_21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2635,skolemFOFtoCNF_Y_125(X_2635)) )],[refute_11_1151,refute_11_1162]) ).
cnf(refute_11_1164,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_2639)
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(subst,[],[refute_11_423:[bind(X1,$fot(X_2639))]]) ).
cnf(refute_11_1165,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_125(X_2637))
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(subst,[],[refute_11_423:[bind(X1,$fot(skolemFOFtoCNF_Y_125(X_2637)))]]) ).
cnf(refute_11_1166,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(skolemFOFtoCNF_X_120)
| q(X_2637)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2637)) )],[refute_11_1153,refute_11_1165]) ).
cnf(refute_11_1167,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(skolemFOFtoCNF_X_120)
| q(X_2638)
| r(skolemFOFtoCNF_X_121) ),
inference(subst,[],[refute_11_1166:[bind(X_2637,$fot(X_2638))]]) ).
cnf(refute_11_1168,plain,
( definitionFOFtoCNF_21
| p(skolemFOFtoCNF_X_120)
| q(X_2638)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1167]) ).
cnf(refute_11_1169,plain,
( definitionFOFtoCNF_21
| p(skolemFOFtoCNF_X_120)
| q(X_2639)
| r(skolemFOFtoCNF_X_121) ),
inference(subst,[],[refute_11_1168:[bind(X_2638,$fot(X_2639))]]) ).
cnf(refute_11_1170,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( q(X_2639) )],[refute_11_1169,refute_11_1164]) ).
cnf(refute_11_1171,plain,
( definitionFOFtoCNF_21
| p(skolemFOFtoCNF_X_120)
| r(skolemFOFtoCNF_X_121) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1170]) ).
cnf(refute_11_1172,plain,
( ~ definitionFOFtoCNF_22
| ~ q(X_1248)
| definitionFOFtoCNF_21
| p(X)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_121) )],[refute_11_1171,refute_11_422]) ).
cnf(refute_11_1173,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_21
| p(X_2673)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_1172:[bind(X,$fot(X_2673)),bind(X_1248,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1174,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(X_2673)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1161,refute_11_1173]) ).
cnf(refute_11_1175,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(X_2675)
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_1174:[bind(X_2673,$fot(X_2675))]]) ).
cnf(refute_11_1176,plain,
( definitionFOFtoCNF_21
| p(X_2675)
| p(skolemFOFtoCNF_X_120) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1175]) ).
cnf(refute_11_1177,plain,
( definitionFOFtoCNF_21
| p(skolemFOFtoCNF_X_120) ),
inference(subst,[],[refute_11_1176:[bind(X_2675,$fot(skolemFOFtoCNF_X_120))]]) ).
cnf(refute_11_1178,plain,
( ~ definitionFOFtoCNF_26(X_2653,skolemFOFtoCNF_Y_127(X_2653))
| r(X_2653)
| r(skolemFOFtoCNF_Y_127(X_2653)) ),
inference(subst,[],[refute_11_7:[bind(X,$fot(X_2653)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2653)))]]) ).
cnf(refute_11_1179,plain,
( ~ definitionFOFtoCNF_23
| ~ s(X_2651)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(X_2651))]]) ).
cnf(refute_11_1180,plain,
( ~ definitionFOFtoCNF_23
| ~ s(skolemFOFtoCNF_Y_128(X_2647))
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_278:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_2647)))]]) ).
cnf(refute_11_1181,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1144,refute_11_281]) ).
cnf(refute_11_1182,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X_2646,skolemFOFtoCNF_Y_127(X_2646))
| s(X_2647)
| s(skolemFOFtoCNF_Y_128(X_2647)) ),
inference(subst,[],[refute_11_1181:[bind(X,$fot(X_2646)),bind(X0,$fot(X_2647))]]) ).
cnf(refute_11_1183,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X_2646,skolemFOFtoCNF_Y_127(X_2646))
| s(X_2647) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_2647)) )],[refute_11_1182,refute_11_1180]) ).
cnf(refute_11_1184,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X_2648,skolemFOFtoCNF_Y_127(X_2648))
| s(X_2649) ),
inference(subst,[],[refute_11_1183:[bind(X_2646,$fot(X_2648)),bind(X_2647,$fot(X_2649))]]) ).
cnf(refute_11_1185,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X_2648,skolemFOFtoCNF_Y_127(X_2648))
| s(X_2649) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1184]) ).
cnf(refute_11_1186,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X_2650,skolemFOFtoCNF_Y_127(X_2650))
| s(X_2651) ),
inference(subst,[],[refute_11_1185:[bind(X_2648,$fot(X_2650)),bind(X_2649,$fot(X_2651))]]) ).
cnf(refute_11_1187,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X_2650,skolemFOFtoCNF_Y_127(X_2650)) ),
inference(resolve,[$cnf( s(X_2651) )],[refute_11_1186,refute_11_1179]) ).
cnf(refute_11_1188,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X_2652,skolemFOFtoCNF_Y_127(X_2652)) ),
inference(subst,[],[refute_11_1187:[bind(X_2650,$fot(X_2652))]]) ).
cnf(refute_11_1189,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X_2652,skolemFOFtoCNF_Y_127(X_2652)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1035,refute_11_1188]) ).
cnf(refute_11_1190,plain,
( definitionFOFtoCNF_21
| definitionFOFtoCNF_26(X_2653,skolemFOFtoCNF_Y_127(X_2653)) ),
inference(subst,[],[refute_11_1189:[bind(X_2652,$fot(X_2653))]]) ).
cnf(refute_11_1191,plain,
( definitionFOFtoCNF_21
| r(X_2653)
| r(skolemFOFtoCNF_Y_127(X_2653)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2653,skolemFOFtoCNF_Y_127(X_2653)) )],[refute_11_1190,refute_11_1178]) ).
cnf(refute_11_1192,plain,
( ~ definitionFOFtoCNF_22
| ~ q(skolemFOFtoCNF_Y_125(X_2637))
| ~ r(X_1247)
| p(X) ),
inference(subst,[],[refute_11_421:[bind(X_1248,$fot(skolemFOFtoCNF_Y_125(X_2637)))]]) ).
cnf(refute_11_1193,plain,
( ~ definitionFOFtoCNF_22
| ~ r(X_1247)
| definitionFOFtoCNF_21
| p(X)
| q(X_2637) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2637)) )],[refute_11_1153,refute_11_1192]) ).
cnf(refute_11_1194,plain,
( ~ definitionFOFtoCNF_22
| ~ r(skolemFOFtoCNF_Y_127(X_2653))
| definitionFOFtoCNF_21
| p(X_2679)
| q(X_2681) ),
inference(subst,[],[refute_11_1193:[bind(X,$fot(X_2679)),bind(X_1247,$fot(skolemFOFtoCNF_Y_127(X_2653))),bind(X_2637,$fot(X_2681))]]) ).
cnf(refute_11_1195,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(X_2679)
| q(X_2681)
| r(X_2653) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2653)) )],[refute_11_1191,refute_11_1194]) ).
cnf(refute_11_1196,plain,
( ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_21
| p(X_2683)
| q(X_2684)
| r(X_2682) ),
inference(subst,[],[refute_11_1195:[bind(X_2653,$fot(X_2682)),bind(X_2679,$fot(X_2683)),bind(X_2681,$fot(X_2684))]]) ).
cnf(refute_11_1197,plain,
( definitionFOFtoCNF_21
| p(X_2683)
| q(X_2684)
| r(X_2682) ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_843,refute_11_1196]) ).
cnf(refute_11_1198,plain,
( definitionFOFtoCNF_21
| p(skolemFOFtoCNF_Y_129(X))
| q(X_2687)
| r(X_2685) ),
inference(subst,[],[refute_11_1197:[bind(X_2682,$fot(X_2685)),bind(X_2683,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2684,$fot(X_2687))]]) ).
cnf(refute_11_1199,plain,
( ~ p(X)
| definitionFOFtoCNF_21
| q(X_2687)
| r(X_2685) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1198,refute_11_47]) ).
cnf(refute_11_1200,plain,
( ~ p(skolemFOFtoCNF_X_120)
| definitionFOFtoCNF_21
| q(X_2690)
| r(X_2689) ),
inference(subst,[],[refute_11_1199:[bind(X,$fot(skolemFOFtoCNF_X_120)),bind(X_2685,$fot(X_2689)),bind(X_2687,$fot(X_2690))]]) ).
cnf(refute_11_1201,plain,
( definitionFOFtoCNF_21
| q(X_2690)
| r(X_2689) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_120) )],[refute_11_1177,refute_11_1200]) ).
cnf(refute_11_1202,plain,
( definitionFOFtoCNF_21
| q(skolemFOFtoCNF_Y_125(X_2635))
| r(X_2691) ),
inference(subst,[],[refute_11_1201:[bind(X_2689,$fot(X_2691)),bind(X_2690,$fot(skolemFOFtoCNF_Y_125(X_2635)))]]) ).
cnf(refute_11_1203,plain,
( ~ q(X_2635)
| definitionFOFtoCNF_21
| r(X_2691) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2635)) )],[refute_11_1202,refute_11_1163]) ).
cnf(refute_11_1204,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_21
| r(X_2694) ),
inference(subst,[],[refute_11_1203:[bind(X_2635,$fot(skolemFOFtoCNF_X_126)),bind(X_2691,$fot(X_2694))]]) ).
cnf(refute_11_1205,plain,
( definitionFOFtoCNF_21
| r(X_2694) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1161,refute_11_1204]) ).
cnf(refute_11_1206,plain,
( definitionFOFtoCNF_21
| r(X_2696) ),
inference(subst,[],[refute_11_1205:[bind(X_2694,$fot(X_2696))]]) ).
cnf(refute_11_1207,plain,
( ~ definitionFOFtoCNF_26(X_2653,skolemFOFtoCNF_Y_127(X_2653))
| ~ r(X_2653)
| ~ r(skolemFOFtoCNF_Y_127(X_2653)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_2653)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2653)))]]) ).
cnf(refute_11_1208,plain,
( ~ r(X_2653)
| ~ r(skolemFOFtoCNF_Y_127(X_2653))
| definitionFOFtoCNF_21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2653,skolemFOFtoCNF_Y_127(X_2653)) )],[refute_11_1190,refute_11_1207]) ).
cnf(refute_11_1209,plain,
( definitionFOFtoCNF_21
| r(skolemFOFtoCNF_Y_127(X_2653)) ),
inference(subst,[],[refute_11_1205:[bind(X_2694,$fot(skolemFOFtoCNF_Y_127(X_2653)))]]) ).
cnf(refute_11_1210,plain,
( ~ r(X_2653)
| definitionFOFtoCNF_21 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2653)) )],[refute_11_1209,refute_11_1208]) ).
cnf(refute_11_1211,plain,
( ~ r(X_2696)
| definitionFOFtoCNF_21 ),
inference(subst,[],[refute_11_1210:[bind(X_2653,$fot(X_2696))]]) ).
cnf(refute_11_1212,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( r(X_2696) )],[refute_11_1206,refute_11_1211]) ).
cnf(refute_11_1213,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_841]) ).
cnf(refute_11_1214,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,Y)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_130) )],[refute_11_1213,refute_11_77]) ).
cnf(refute_11_1215,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2699)
| q(X_2699) ),
inference(subst,[],[refute_11_1214:[bind(Y,$fot(X_2699))]]) ).
cnf(refute_11_1216,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2699)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2699) )],[refute_11_1215,refute_11_75]) ).
cnf(refute_11_1217,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2699)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1216]) ).
cnf(refute_11_1218,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2703)
| s(X_2702) ),
inference(subst,[],[refute_11_1217:[bind(Y0,$fot(X_2702)),bind(X_2699,$fot(X_2703))]]) ).
cnf(refute_11_1219,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2703) ),
inference(resolve,[$cnf( s(X_2702) )],[refute_11_1218,refute_11_73]) ).
cnf(refute_11_1220,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(X_2703) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1219]) ).
cnf(refute_11_1221,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_112) ),
inference(subst,[],[refute_11_1220:[bind(X_2703,$fot(skolemFOFtoCNF_Y_112))]]) ).
cnf(refute_11_1222,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X_2710)
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(X_2710))]]) ).
cnf(refute_11_1223,plain,
( ~ definitionFOFtoCNF_21
| ~ s(skolemFOFtoCNF_Y_128(X_2708))
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_2708)))]]) ).
cnf(refute_11_1224,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2700)
| definitionFOFtoCNF_24
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_318:[bind(Y,$fot(X_2700))]]) ).
cnf(refute_11_1225,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X_2697)
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(X_2697))]]) ).
cnf(refute_11_1226,plain,
( ~ definitionFOFtoCNF_21
| ~ s(skolemFOFtoCNF_Y_128(X_1325))
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_1325)))]]) ).
cnf(refute_11_1227,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118) )],[refute_11_120,refute_11_321]) ).
cnf(refute_11_1228,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X_1325)
| s(skolemFOFtoCNF_Y_128(X_1325)) ),
inference(subst,[],[refute_11_1227:[bind(X0,$fot(X_1325))]]) ).
cnf(refute_11_1229,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X_1325) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_1325)) )],[refute_11_1228,refute_11_1226]) ).
cnf(refute_11_1230,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X_1325) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1229]) ).
cnf(refute_11_1231,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134)
| s(X_2697) ),
inference(subst,[],[refute_11_1230:[bind(X_1325,$fot(X_2697))]]) ).
cnf(refute_11_1232,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( s(X_2697) )],[refute_11_1231,refute_11_1225]) ).
cnf(refute_11_1233,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1232]) ).
cnf(refute_11_1234,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_134) )],[refute_11_1233,refute_11_116]) ).
cnf(refute_11_1235,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2700)
| r(X_2700) ),
inference(subst,[],[refute_11_1234:[bind(Y,$fot(X_2700))]]) ).
cnf(refute_11_1236,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2700)
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2700) )],[refute_11_1235,refute_11_1224]) ).
cnf(refute_11_1237,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2709)
| s(X_2708)
| s(skolemFOFtoCNF_Y_128(X_2708)) ),
inference(subst,[],[refute_11_1236:[bind(X0,$fot(X_2708)),bind(X_2700,$fot(X_2709))]]) ).
cnf(refute_11_1238,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2709)
| s(X_2708) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_2708)) )],[refute_11_1237,refute_11_1223]) ).
cnf(refute_11_1239,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2709)
| s(X_2708) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1238]) ).
cnf(refute_11_1240,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2711)
| s(X_2710) ),
inference(subst,[],[refute_11_1239:[bind(X_2708,$fot(X_2710)),bind(X_2709,$fot(X_2711))]]) ).
cnf(refute_11_1241,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2711) ),
inference(resolve,[$cnf( s(X_2710) )],[refute_11_1240,refute_11_1222]) ).
cnf(refute_11_1242,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(X_2711) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1241]) ).
cnf(refute_11_1243,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_1242:[bind(X_2711,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_1244,plain,
( ~ q(skolemFOFtoCNF_Y_112)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_1243,refute_11_91]) ).
cnf(refute_11_1245,plain,
( ~ q(skolemFOFtoCNF_Y_112)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2713) ),
inference(subst,[],[refute_11_1244:[bind(Y,$fot(X_2713))]]) ).
cnf(refute_11_1246,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(X_2713) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_112) )],[refute_11_1221,refute_11_1245]) ).
cnf(refute_11_1247,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X)) ),
inference(subst,[],[refute_11_1246:[bind(X_2713,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_1248,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1247,refute_11_47]) ).
cnf(refute_11_1249,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_1248:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_1250,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_72,refute_11_1249]) ).
cnf(refute_11_1251,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1250,refute_11_69]) ).
cnf(refute_11_1252,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1251]) ).
cnf(refute_11_1253,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_2716,skolemFOFtoCNF_Y_125(X_2716))
| s(X_2717) ),
inference(subst,[],[refute_11_1252:[bind(X,$fot(X_2716)),bind(Y0,$fot(X_2717))]]) ).
cnf(refute_11_1254,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_2716,skolemFOFtoCNF_Y_125(X_2716)) ),
inference(resolve,[$cnf( s(X_2717) )],[refute_11_1253,refute_11_68]) ).
cnf(refute_11_1255,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_2716,skolemFOFtoCNF_Y_125(X_2716)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1254]) ).
cnf(refute_11_1256,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_25(X_2718,skolemFOFtoCNF_Y_125(X_2718)) ),
inference(subst,[],[refute_11_1255:[bind(X_2716,$fot(X_2718))]]) ).
cnf(refute_11_1257,plain,
( ~ q(X_2718)
| ~ q(skolemFOFtoCNF_Y_125(X_2718))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2718,skolemFOFtoCNF_Y_125(X_2718)) )],[refute_11_1256,refute_11_66]) ).
cnf(refute_11_1258,plain,
( ~ q(X_2719)
| ~ q(skolemFOFtoCNF_Y_125(X_2719))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_1257:[bind(X_2718,$fot(X_2719))]]) ).
cnf(refute_11_1259,plain,
( ~ q(X_2719)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_1278) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2719)) )],[refute_11_64,refute_11_1258]) ).
cnf(refute_11_1260,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_2721) ),
inference(subst,[],[refute_11_1259:[bind(X_1278,$fot(X_2721)),bind(X_2719,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1261,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(X_2721) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_58,refute_11_1260]) ).
cnf(refute_11_1262,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| r(skolemFOFtoCNF_Y_127(X_2734)) ),
inference(subst,[],[refute_11_1261:[bind(X_2721,$fot(skolemFOFtoCNF_Y_127(X_2734)))]]) ).
cnf(refute_11_1263,plain,
( ~ definitionFOFtoCNF_26(X_2733,skolemFOFtoCNF_Y_127(X_2733))
| ~ r(X_2733)
| ~ r(skolemFOFtoCNF_Y_127(X_2733)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_2733)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_2733)))]]) ).
cnf(refute_11_1264,plain,
( ~ definitionFOFtoCNF_21
| ~ s(X_2732)
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(X_2732))]]) ).
cnf(refute_11_1265,plain,
( ~ definitionFOFtoCNF_21
| ~ s(skolemFOFtoCNF_Y_128(X_2730))
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_67:[bind(X,$fot(skolemFOFtoCNF_Y_128(X_2730)))]]) ).
cnf(refute_11_1266,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1250,refute_11_281]) ).
cnf(refute_11_1267,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2729,skolemFOFtoCNF_Y_127(X_2729))
| s(X_2730)
| s(skolemFOFtoCNF_Y_128(X_2730)) ),
inference(subst,[],[refute_11_1266:[bind(X,$fot(X_2729)),bind(X0,$fot(X_2730))]]) ).
cnf(refute_11_1268,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2729,skolemFOFtoCNF_Y_127(X_2729))
| s(X_2730) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_2730)) )],[refute_11_1267,refute_11_1265]) ).
cnf(refute_11_1269,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2729,skolemFOFtoCNF_Y_127(X_2729))
| s(X_2730) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1268]) ).
cnf(refute_11_1270,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2731,skolemFOFtoCNF_Y_127(X_2731))
| s(X_2732) ),
inference(subst,[],[refute_11_1269:[bind(X_2729,$fot(X_2731)),bind(X_2730,$fot(X_2732))]]) ).
cnf(refute_11_1271,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2731,skolemFOFtoCNF_Y_127(X_2731)) ),
inference(resolve,[$cnf( s(X_2732) )],[refute_11_1270,refute_11_1264]) ).
cnf(refute_11_1272,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2731,skolemFOFtoCNF_Y_127(X_2731)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1271]) ).
cnf(refute_11_1273,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_26(X_2733,skolemFOFtoCNF_Y_127(X_2733)) ),
inference(subst,[],[refute_11_1272:[bind(X_2731,$fot(X_2733))]]) ).
cnf(refute_11_1274,plain,
( ~ r(X_2733)
| ~ r(skolemFOFtoCNF_Y_127(X_2733))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2733,skolemFOFtoCNF_Y_127(X_2733)) )],[refute_11_1273,refute_11_1263]) ).
cnf(refute_11_1275,plain,
( ~ r(X_2734)
| ~ r(skolemFOFtoCNF_Y_127(X_2734))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_1274:[bind(X_2733,$fot(X_2734))]]) ).
cnf(refute_11_1276,plain,
( ~ r(X_2734)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2734)) )],[refute_11_1262,refute_11_1275]) ).
cnf(refute_11_1277,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(subst,[],[refute_11_1276:[bind(X_2734,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_1278,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_51,refute_11_1277]) ).
cnf(refute_11_1279,plain,
( ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_22
| s(skolemFOFtoCNF_X_127) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1278,refute_11_41]) ).
cnf(refute_11_1280,plain,
( definitionFOFtoCNF_22
| s(skolemFOFtoCNF_X_127) ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1279]) ).
cnf(refute_11_1281,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_1280,refute_11_40]) ).
cnf(refute_11_1282,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_2736,skolemFOFtoCNF_Y_126(X_2736))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1281:[bind(X,$fot(X_2736))]]) ).
cnf(refute_11_1283,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_2736)
| r(skolemFOFtoCNF_Y_126(X_2736))
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2736,skolemFOFtoCNF_Y_126(X_2736)) )],[refute_11_1282,refute_11_38]) ).
cnf(refute_11_1284,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_2739)
| r(skolemFOFtoCNF_Y_126(X_2739))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1283:[bind(X_2736,$fot(X_2739))]]) ).
cnf(refute_11_1285,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2739)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_2739)) )],[refute_11_1284,refute_11_37]) ).
cnf(refute_11_1286,plain,
( ~ p(X_2748)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2739)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1285:[bind(X,$fot(X_2748))]]) ).
cnf(refute_11_1287,plain,
( ~ r(skolemFOFtoCNF_Y_126(X_2739))
| definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_4:[bind(X_1212,$fot(skolemFOFtoCNF_Y_126(X_2739)))]]) ).
cnf(refute_11_1288,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| q(skolemFOFtoCNF_X_126)
| r(X_2739)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_2739)) )],[refute_11_1284,refute_11_1287]) ).
cnf(refute_11_1289,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2748)
| q(skolemFOFtoCNF_X_126)
| r(X_2749)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1288:[bind(X,$fot(X_2748)),bind(X_2739,$fot(X_2749))]]) ).
cnf(refute_11_1290,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2739)
| r(X_2749)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( p(X_2748) )],[refute_11_1289,refute_11_1286]) ).
cnf(refute_11_1291,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2752)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1290:[bind(X_2739,$fot(X_2752)),bind(X_2749,$fot(X_2752))]]) ).
cnf(refute_11_1292,plain,
( ~ definitionFOFtoCNF_26(X_2736,skolemFOFtoCNF_Y_126(X_2736))
| ~ r(X_2736)
| ~ r(skolemFOFtoCNF_Y_126(X_2736)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_2736)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_2736)))]]) ).
cnf(refute_11_1293,plain,
( ~ r(X_2736)
| ~ r(skolemFOFtoCNF_Y_126(X_2736))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2736,skolemFOFtoCNF_Y_126(X_2736)) )],[refute_11_1282,refute_11_1292]) ).
cnf(refute_11_1294,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_Y_126(X_2736))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1290:[bind(X_2739,$fot(skolemFOFtoCNF_Y_126(X_2736))),bind(X_2749,$fot(skolemFOFtoCNF_Y_126(X_2736)))]]) ).
cnf(refute_11_1295,plain,
( ~ r(X_2736)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_2736)) )],[refute_11_1294,refute_11_1293]) ).
cnf(refute_11_1296,plain,
( ~ r(X_2752)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1295:[bind(X_2736,$fot(X_2752))]]) ).
cnf(refute_11_1297,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(X_2752) )],[refute_11_1291,refute_11_1296]) ).
cnf(refute_11_1298,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| q(skolemFOFtoCNF_X_126)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_1297,refute_11_36]) ).
cnf(refute_11_1299,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_2753,skolemFOFtoCNF_Y_126(X_2753))
| q(skolemFOFtoCNF_X_126)
| s(X_2754) ),
inference(subst,[],[refute_11_1298:[bind(X,$fot(X_2753)),bind(Y0,$fot(X_2754))]]) ).
cnf(refute_11_1300,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2753)
| r(skolemFOFtoCNF_Y_126(X_2753))
| s(X_2754) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2753,skolemFOFtoCNF_Y_126(X_2753)) )],[refute_11_1299,refute_11_35]) ).
cnf(refute_11_1301,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| r(X_2758)
| r(skolemFOFtoCNF_Y_126(X_2758))
| s(X_2759) ),
inference(subst,[],[refute_11_1300:[bind(X_2753,$fot(X_2758)),bind(X_2754,$fot(X_2759))]]) ).
cnf(refute_11_1302,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| q(skolemFOFtoCNF_X_126)
| r(X_2758)
| s(X_2759) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_2758)) )],[refute_11_1301,refute_11_34]) ).
cnf(refute_11_1303,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2766)
| q(skolemFOFtoCNF_X_126)
| r(X_2767)
| s(X_2768) ),
inference(subst,[],[refute_11_1302:[bind(X,$fot(X_2766)),bind(X_2758,$fot(X_2767)),bind(X_2759,$fot(X_2768))]]) ).
cnf(refute_11_1304,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| p(X_2766)
| q(skolemFOFtoCNF_X_126)
| s(X_2768) ),
inference(resolve,[$cnf( r(X_2767) )],[refute_11_1303,refute_11_33]) ).
cnf(refute_11_1305,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2771)
| q(skolemFOFtoCNF_X_126)
| s(X_2768) ),
inference(subst,[],[refute_11_1304:[bind(X,$fot(X_2771)),bind(X_2766,$fot(X_2771))]]) ).
cnf(refute_11_1306,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126)
| s(X_2770) ),
inference(subst,[],[refute_11_1304:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2766,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2768,$fot(X_2770))]]) ).
cnf(refute_11_1307,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| s(X_2770) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1306,refute_11_47]) ).
cnf(refute_11_1308,plain,
( ~ p(X_2771)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| s(X_2772) ),
inference(subst,[],[refute_11_1307:[bind(X,$fot(X_2771)),bind(X_2770,$fot(X_2772))]]) ).
cnf(refute_11_1309,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| s(X_2768)
| s(X_2772) ),
inference(resolve,[$cnf( p(X_2771) )],[refute_11_1305,refute_11_1308]) ).
cnf(refute_11_1310,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_1309:[bind(X_2768,$fot(skolemFOFtoCNF_Y_123)),bind(X_2772,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_1311,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X))
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_1310,refute_11_32]) ).
cnf(refute_11_1312,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X))
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1311]) ).
cnf(refute_11_1313,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_2774,skolemFOFtoCNF_Y_121(X_2774))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1312:[bind(X,$fot(X_2774))]]) ).
cnf(refute_11_1314,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2774)
| q(skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_Y_121(X_2774)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2774,skolemFOFtoCNF_Y_121(X_2774)) )],[refute_11_1313,refute_11_31]) ).
cnf(refute_11_1315,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2776)
| q(skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_Y_121(X_2776)) ),
inference(subst,[],[refute_11_1314:[bind(X_2774,$fot(X_2776))]]) ).
cnf(refute_11_1316,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2776)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_121(X_2776)) )],[refute_11_1315,refute_11_29]) ).
cnf(refute_11_1317,plain,
( ~ p(skolemFOFtoCNF_X_122)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2781)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1316:[bind(X,$fot(skolemFOFtoCNF_X_122)),bind(X_2776,$fot(X_2781))]]) ).
cnf(refute_11_1318,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_119)
| q(X_2781)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_122) )],[refute_11_28,refute_11_1317]) ).
cnf(refute_11_1319,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_119)
| q(X_2782)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1318:[bind(X_2781,$fot(X_2782))]]) ).
cnf(refute_11_1320,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| p(skolemFOFtoCNF_X_119)
| q(X_2782)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1319,refute_11_5]) ).
cnf(refute_11_1321,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| p(skolemFOFtoCNF_X_119)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1320:[bind(X_2782,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1322,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2783)
| p(skolemFOFtoCNF_X_119)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1320:[bind(X,$fot(X_2783)),bind(X_2782,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1323,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| p(X_2783)
| p(skolemFOFtoCNF_X_119)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1322,refute_11_87]) ).
cnf(refute_11_1324,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2784)
| p(skolemFOFtoCNF_X_119)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1323:[bind(X,$fot(skolemFOFtoCNF_X_119)),bind(X_2783,$fot(X_2784))]]) ).
cnf(refute_11_1325,plain,
( ~ q(X1)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2784)
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1324,refute_11_18]) ).
cnf(refute_11_1326,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2786)
| p(skolemFOFtoCNF_X_119) ),
inference(subst,[],[refute_11_1325:[bind(X1,$fot(skolemFOFtoCNF_X_126)),bind(X_2784,$fot(X_2786))]]) ).
cnf(refute_11_1327,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| p(X_2786)
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1321,refute_11_1326]) ).
cnf(refute_11_1328,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_X_119) ),
inference(subst,[],[refute_11_1327:[bind(X,$fot(skolemFOFtoCNF_X_119)),bind(X_2786,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_1329,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2776)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1316:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_1330,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2776)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_1328,refute_11_1329]) ).
cnf(refute_11_1331,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2787)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1330:[bind(X_2776,$fot(X_2787))]]) ).
cnf(refute_11_1332,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X)
| q(X_2787)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1331,refute_11_5]) ).
cnf(refute_11_1333,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1332:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2787,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1334,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1333,refute_11_47]) ).
cnf(refute_11_1335,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1334:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_1336,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_1328,refute_11_1335]) ).
cnf(refute_11_1337,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118)
| ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_128(X0))
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_109:[bind(Y,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_1338,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1336,refute_11_370]) ).
cnf(refute_11_1339,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1338:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_1340,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_1328,refute_11_1339]) ).
cnf(refute_11_1341,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_X_118)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1340,refute_11_118]) ).
cnf(refute_11_1342,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_1341:[bind(X,$fot(skolemFOFtoCNF_X_134))]]) ).
cnf(refute_11_1343,plain,
( ~ s(X0)
| ~ s(skolemFOFtoCNF_Y_128(X0))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,skolemFOFtoCNF_X_118) )],[refute_11_1342,refute_11_1337]) ).
cnf(refute_11_1344,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2814)
| definitionFOFtoCNF_24
| s(Y0) ),
inference(subst,[],[refute_11_74:[bind(Y,$fot(X_2814))]]) ).
cnf(refute_11_1345,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_X_126)
| q(X) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1336,refute_11_81]) ).
cnf(refute_11_1346,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_X_130) ),
inference(subst,[],[refute_11_1345:[bind(X,$fot(skolemFOFtoCNF_X_130))]]) ).
cnf(refute_11_1347,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,skolemFOFtoCNF_X_126) )],[refute_11_1346,refute_11_79]) ).
cnf(refute_11_1348,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1347]) ).
cnf(refute_11_1349,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(skolemFOFtoCNF_Y_128(X_2801)) ),
inference(subst,[],[refute_11_1348:[bind(Y0,$fot(skolemFOFtoCNF_Y_128(X_2801)))]]) ).
cnf(refute_11_1350,plain,
( ~ s(X_2801)
| ~ s(skolemFOFtoCNF_Y_128(X_2801))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_1343:[bind(X0,$fot(X_2801))]]) ).
cnf(refute_11_1351,plain,
( ~ s(X_2801)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_2801)) )],[refute_11_1349,refute_11_1350]) ).
cnf(refute_11_1352,plain,
( ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_1351:[bind(X_2801,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_1353,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_1280,refute_11_1352]) ).
cnf(refute_11_1354,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| q(skolemFOFtoCNF_X_130)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_134) )],[refute_11_1353,refute_11_116]) ).
cnf(refute_11_1355,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2808)
| q(skolemFOFtoCNF_X_130)
| r(X_2808) ),
inference(subst,[],[refute_11_1354:[bind(Y,$fot(X_2808))]]) ).
cnf(refute_11_1356,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(X_2806) ),
inference(subst,[],[refute_11_1348:[bind(Y0,$fot(X_2806))]]) ).
cnf(refute_11_1357,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_1348:[bind(Y0,$fot(skolemFOFtoCNF_Y_128(X0)))]]) ).
cnf(refute_11_1358,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| ~ s(X0)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_1357,refute_11_109]) ).
cnf(refute_11_1359,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2807)
| ~ s(X_2806)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(subst,[],[refute_11_1358:[bind(X0,$fot(X_2806)),bind(Y,$fot(X_2807))]]) ).
cnf(refute_11_1360,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2807)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( s(X_2806) )],[refute_11_1356,refute_11_1359]) ).
cnf(refute_11_1361,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2808)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(subst,[],[refute_11_1360:[bind(X_2807,$fot(X_2808))]]) ).
cnf(refute_11_1362,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| r(X_2808) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2808) )],[refute_11_1355,refute_11_1361]) ).
cnf(refute_11_1363,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130)
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_1362:[bind(X_2808,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_1364,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(Y)
| q(Y0)
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_1363,refute_11_314]) ).
cnf(refute_11_1365,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2810)
| q(X_2811)
| q(skolemFOFtoCNF_X_130) ),
inference(subst,[],[refute_11_1364:[bind(Y,$fot(X_2810)),bind(Y0,$fot(X_2811))]]) ).
cnf(refute_11_1366,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2810)
| q(X_2811)
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1278,refute_11_1365]) ).
cnf(refute_11_1367,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_130) ),
inference(subst,[],[refute_11_1366:[bind(X_2810,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2811,$fot(skolemFOFtoCNF_X_130))]]) ).
cnf(refute_11_1368,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1367,refute_11_47]) ).
cnf(refute_11_1369,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(subst,[],[refute_11_1368:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_1370,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_X_130) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_1328,refute_11_1369]) ).
cnf(refute_11_1371,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,Y)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_130) )],[refute_11_1370,refute_11_77]) ).
cnf(refute_11_1372,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2814)
| q(X_2814) ),
inference(subst,[],[refute_11_1371:[bind(Y,$fot(X_2814))]]) ).
cnf(refute_11_1373,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2814)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_130,X_2814) )],[refute_11_1372,refute_11_1344]) ).
cnf(refute_11_1374,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2814)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1373]) ).
cnf(refute_11_1375,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2817)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_1374:[bind(Y0,$fot(skolemFOFtoCNF_Y_128(X0))),bind(X_2814,$fot(X_2817))]]) ).
cnf(refute_11_1376,plain,
( ~ s(X0)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2817)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_1375,refute_11_1343]) ).
cnf(refute_11_1377,plain,
( ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2822)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_1376:[bind(X0,$fot(skolemFOFtoCNF_X_127)),bind(X_2817,$fot(X_2822))]]) ).
cnf(refute_11_1378,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2822)
| r(skolemFOFtoCNF_X_134) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_1280,refute_11_1377]) ).
cnf(refute_11_1379,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2823)
| r(skolemFOFtoCNF_X_134) ),
inference(subst,[],[refute_11_1378:[bind(X_2822,$fot(X_2823))]]) ).
cnf(refute_11_1380,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| q(X_2823)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_134) )],[refute_11_1379,refute_11_116]) ).
cnf(refute_11_1381,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2838)
| q(X_2823)
| r(X_2838) ),
inference(subst,[],[refute_11_1380:[bind(Y,$fot(X_2838))]]) ).
cnf(refute_11_1382,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2814)
| s(X_2834) ),
inference(subst,[],[refute_11_1374:[bind(Y0,$fot(X_2834))]]) ).
cnf(refute_11_1383,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,Y)
| ~ s(X0)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2817) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_1375,refute_11_109]) ).
cnf(refute_11_1384,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2835)
| ~ s(X_2834)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2836) ),
inference(subst,[],[refute_11_1383:[bind(X0,$fot(X_2834)),bind(Y,$fot(X_2835)),bind(X_2817,$fot(X_2836))]]) ).
cnf(refute_11_1385,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2835)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2814)
| q(X_2836) ),
inference(resolve,[$cnf( s(X_2834) )],[refute_11_1382,refute_11_1384]) ).
cnf(refute_11_1386,plain,
( ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2838)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2837)
| q(X_2839) ),
inference(subst,[],[refute_11_1385:[bind(X_2814,$fot(X_2839)),bind(X_2835,$fot(X_2838)),bind(X_2836,$fot(X_2837))]]) ).
cnf(refute_11_1387,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2823)
| q(X_2837)
| q(X_2839)
| r(X_2838) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_134,X_2838) )],[refute_11_1381,refute_11_1386]) ).
cnf(refute_11_1388,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2841)
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_1387:[bind(X_2823,$fot(X_2841)),bind(X_2837,$fot(X_2841)),bind(X_2838,$fot(skolemFOFtoCNF_Y_116)),bind(X_2839,$fot(X_2841))]]) ).
cnf(refute_11_1389,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(Y)
| q(Y0)
| q(X_2841) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_1388,refute_11_314]) ).
cnf(refute_11_1390,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2843)
| q(X_2844)
| q(X_2845) ),
inference(subst,[],[refute_11_1389:[bind(Y,$fot(X_2843)),bind(Y0,$fot(X_2845)),bind(X_2841,$fot(X_2844))]]) ).
cnf(refute_11_1391,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2843)
| q(X_2844)
| q(X_2845) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1278,refute_11_1390]) ).
cnf(refute_11_1392,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| q(X_2847) ),
inference(subst,[],[refute_11_1391:[bind(X_2843,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2844,$fot(X_2847)),bind(X_2845,$fot(X_2847))]]) ).
cnf(refute_11_1393,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2847) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1392,refute_11_47]) ).
cnf(refute_11_1394,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2849) ),
inference(subst,[],[refute_11_1393:[bind(X,$fot(skolemFOFtoCNF_X_119)),bind(X_2847,$fot(X_2849))]]) ).
cnf(refute_11_1395,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(X_2849) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_1328,refute_11_1394]) ).
cnf(refute_11_1396,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_121(X_2868)) ),
inference(subst,[],[refute_11_1395:[bind(X_2849,$fot(skolemFOFtoCNF_Y_121(X_2868)))]]) ).
cnf(refute_11_1397,plain,
( ~ definitionFOFtoCNF_25(X_2867,skolemFOFtoCNF_Y_121(X_2867))
| ~ q(X_2867)
| ~ q(skolemFOFtoCNF_Y_121(X_2867)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_2867)),bind(Y,$fot(skolemFOFtoCNF_Y_121(X_2867)))]]) ).
cnf(refute_11_1398,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| q(skolemFOFtoCNF_Y_119) ),
inference(subst,[],[refute_11_1395:[bind(X_2849,$fot(skolemFOFtoCNF_Y_119))]]) ).
cnf(refute_11_1399,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(Y)
| r(Y1) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_119) )],[refute_11_1398,refute_11_384]) ).
cnf(refute_11_1400,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2851)
| r(X_2852) ),
inference(subst,[],[refute_11_1399:[bind(Y,$fot(X_2851)),bind(Y1,$fot(X_2852))]]) ).
cnf(refute_11_1401,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(X_2851)
| r(X_2852) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1278,refute_11_1400]) ).
cnf(refute_11_1402,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| p(skolemFOFtoCNF_Y_129(X))
| r(X_2854) ),
inference(subst,[],[refute_11_1401:[bind(X_2851,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2852,$fot(X_2854))]]) ).
cnf(refute_11_1403,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_2854) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1402,refute_11_47]) ).
cnf(refute_11_1404,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_2856) ),
inference(subst,[],[refute_11_1403:[bind(X,$fot(skolemFOFtoCNF_X_119)),bind(X_2854,$fot(X_2856))]]) ).
cnf(refute_11_1405,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(X_2856) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_1328,refute_11_1404]) ).
cnf(refute_11_1406,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_126(X_2862)) ),
inference(subst,[],[refute_11_1405:[bind(X_2856,$fot(skolemFOFtoCNF_Y_126(X_2862)))]]) ).
cnf(refute_11_1407,plain,
( ~ definitionFOFtoCNF_26(X_2859,skolemFOFtoCNF_Y_126(X_2859))
| ~ r(X_2859)
| ~ r(skolemFOFtoCNF_Y_126(X_2859)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_2859)),bind(Y,$fot(skolemFOFtoCNF_Y_126(X_2859)))]]) ).
cnf(refute_11_1408,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| r(skolemFOFtoCNF_Y_126(X_2736)) ),
inference(subst,[],[refute_11_1405:[bind(X_2856,$fot(skolemFOFtoCNF_Y_126(X_2736)))]]) ).
cnf(refute_11_1409,plain,
( ~ r(X_2736)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_2736)) )],[refute_11_1408,refute_11_1293]) ).
cnf(refute_11_1410,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1409:[bind(X_2736,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_1411,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1340,refute_11_1410]) ).
cnf(refute_11_1412,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_126(X))
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_1411,refute_11_36]) ).
cnf(refute_11_1413,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_26(X_2859,skolemFOFtoCNF_Y_126(X_2859))
| s(X_2860) ),
inference(subst,[],[refute_11_1412:[bind(X,$fot(X_2859)),bind(Y0,$fot(X_2860))]]) ).
cnf(refute_11_1414,plain,
( ~ r(X_2859)
| ~ r(skolemFOFtoCNF_Y_126(X_2859))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(X_2860) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2859,skolemFOFtoCNF_Y_126(X_2859)) )],[refute_11_1413,refute_11_1407]) ).
cnf(refute_11_1415,plain,
( ~ r(X_2862)
| ~ r(skolemFOFtoCNF_Y_126(X_2862))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(X_2863) ),
inference(subst,[],[refute_11_1414:[bind(X_2859,$fot(X_2862)),bind(X_2860,$fot(X_2863))]]) ).
cnf(refute_11_1416,plain,
( ~ r(X_2862)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(X_2863) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_126(X_2862)) )],[refute_11_1406,refute_11_1415]) ).
cnf(refute_11_1417,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(X_2865) ),
inference(subst,[],[refute_11_1416:[bind(X_2862,$fot(skolemFOFtoCNF_X_118)),bind(X_2863,$fot(X_2865))]]) ).
cnf(refute_11_1418,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(X_2865) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1340,refute_11_1417]) ).
cnf(refute_11_1419,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_1418:[bind(X_2865,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_1420,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_1419,refute_11_32]) ).
cnf(refute_11_1421,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_121(X)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1420]) ).
cnf(refute_11_1422,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24
| definitionFOFtoCNF_25(X_2867,skolemFOFtoCNF_Y_121(X_2867)) ),
inference(subst,[],[refute_11_1421:[bind(X,$fot(X_2867))]]) ).
cnf(refute_11_1423,plain,
( ~ q(X_2867)
| ~ q(skolemFOFtoCNF_Y_121(X_2867))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2867,skolemFOFtoCNF_Y_121(X_2867)) )],[refute_11_1422,refute_11_1397]) ).
cnf(refute_11_1424,plain,
( ~ q(X_2868)
| ~ q(skolemFOFtoCNF_Y_121(X_2868))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_1423:[bind(X_2867,$fot(X_2868))]]) ).
cnf(refute_11_1425,plain,
( ~ q(X_2868)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_121(X_2868)) )],[refute_11_1396,refute_11_1424]) ).
cnf(refute_11_1426,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(subst,[],[refute_11_1425:[bind(X_2868,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1427,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1336,refute_11_1426]) ).
cnf(refute_11_1428,plain,
( ~ q(X_2895)
| definitionFOFtoCNF_22
| p(X)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_21:[bind(X_1210,$fot(X_2895))]]) ).
cnf(refute_11_1429,plain,
( ~ q(skolemFOFtoCNF_Y_125(X_2876))
| definitionFOFtoCNF_22
| p(X)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_21:[bind(X_1210,$fot(skolemFOFtoCNF_Y_125(X_2876)))]]) ).
cnf(refute_11_1430,plain,
( ~ definitionFOFtoCNF_25(X_2870,skolemFOFtoCNF_Y_125(X_2870))
| q(X_2870)
| q(skolemFOFtoCNF_Y_125(X_2870)) ),
inference(subst,[],[refute_11_30:[bind(X,$fot(X_2870)),bind(Y,$fot(skolemFOFtoCNF_Y_125(X_2870)))]]) ).
cnf(refute_11_1431,plain,
( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_69]) ).
cnf(refute_11_1432,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_Y_125(X))
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1431]) ).
cnf(refute_11_1433,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X_2870,skolemFOFtoCNF_Y_125(X_2870))
| s(X_2871) ),
inference(subst,[],[refute_11_1432:[bind(X,$fot(X_2870)),bind(Y0,$fot(X_2871))]]) ).
cnf(refute_11_1434,plain,
( definitionFOFtoCNF_22
| q(X_2870)
| q(skolemFOFtoCNF_Y_125(X_2870))
| s(X_2871) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2870,skolemFOFtoCNF_Y_125(X_2870)) )],[refute_11_1433,refute_11_1430]) ).
cnf(refute_11_1435,plain,
( definitionFOFtoCNF_22
| q(X_2876)
| q(skolemFOFtoCNF_Y_125(X_2876))
| s(X_2877) ),
inference(subst,[],[refute_11_1434:[bind(X_2870,$fot(X_2876)),bind(X_2871,$fot(X_2877))]]) ).
cnf(refute_11_1436,plain,
( definitionFOFtoCNF_22
| p(X)
| q(X_2876)
| r(skolemFOFtoCNF_X_118)
| s(X_2877) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2876)) )],[refute_11_1435,refute_11_1429]) ).
cnf(refute_11_1437,plain,
( definitionFOFtoCNF_22
| p(X_2894)
| q(X_2895)
| r(skolemFOFtoCNF_X_118)
| s(X_2896) ),
inference(subst,[],[refute_11_1436:[bind(X,$fot(X_2894)),bind(X_2876,$fot(X_2895)),bind(X_2877,$fot(X_2896))]]) ).
cnf(refute_11_1438,plain,
( definitionFOFtoCNF_22
| p(X)
| p(X_2894)
| r(skolemFOFtoCNF_X_118)
| s(X_2896) ),
inference(resolve,[$cnf( q(X_2895) )],[refute_11_1437,refute_11_1428]) ).
cnf(refute_11_1439,plain,
( definitionFOFtoCNF_22
| p(X_2901)
| r(skolemFOFtoCNF_X_118)
| s(X_2896) ),
inference(subst,[],[refute_11_1438:[bind(X,$fot(X_2901)),bind(X_2894,$fot(X_2901))]]) ).
cnf(refute_11_1440,plain,
( ~ p(X)
| ~ q(X_2899)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_19:[bind(X1,$fot(X_2899))]]) ).
cnf(refute_11_1441,plain,
( ~ p(X)
| ~ q(skolemFOFtoCNF_Y_125(X_2876))
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_19:[bind(X1,$fot(skolemFOFtoCNF_Y_125(X_2876)))]]) ).
cnf(refute_11_1442,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| q(X_2876)
| r(skolemFOFtoCNF_X_118)
| s(X_2877) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2876)) )],[refute_11_1435,refute_11_1441]) ).
cnf(refute_11_1443,plain,
( ~ p(X_2894)
| definitionFOFtoCNF_22
| q(X_2876)
| r(skolemFOFtoCNF_X_118)
| s(X_2877) ),
inference(subst,[],[refute_11_1442:[bind(X,$fot(X_2894))]]) ).
cnf(refute_11_1444,plain,
( definitionFOFtoCNF_22
| q(X_2876)
| q(X_2895)
| r(skolemFOFtoCNF_X_118)
| s(X_2877)
| s(X_2896) ),
inference(resolve,[$cnf( p(X_2894) )],[refute_11_1437,refute_11_1443]) ).
cnf(refute_11_1445,plain,
( definitionFOFtoCNF_22
| q(X_2899)
| r(skolemFOFtoCNF_X_118)
| s(X_2900) ),
inference(subst,[],[refute_11_1444:[bind(X_2876,$fot(X_2899)),bind(X_2877,$fot(X_2900)),bind(X_2895,$fot(X_2899)),bind(X_2896,$fot(X_2900))]]) ).
cnf(refute_11_1446,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118)
| s(X_2900) ),
inference(resolve,[$cnf( q(X_2899) )],[refute_11_1445,refute_11_1440]) ).
cnf(refute_11_1447,plain,
( ~ p(X_2901)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118)
| s(X_2902) ),
inference(subst,[],[refute_11_1446:[bind(X,$fot(X_2901)),bind(X_2900,$fot(X_2902))]]) ).
cnf(refute_11_1448,plain,
( definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118)
| s(X_2896)
| s(X_2902) ),
inference(resolve,[$cnf( p(X_2901) )],[refute_11_1439,refute_11_1447]) ).
cnf(refute_11_1449,plain,
( definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_1448:[bind(X_2896,$fot(skolemFOFtoCNF_Y_128(X0))),bind(X_2902,$fot(skolemFOFtoCNF_Y_128(X0)))]]) ).
cnf(refute_11_1450,plain,
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_1449,refute_11_232]) ).
cnf(refute_11_1451,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_2904,skolemFOFtoCNF_Y_127(X_2904))
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1450:[bind(X,$fot(X_2904)),bind(X0,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_1452,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_2904,skolemFOFtoCNF_Y_127(X_2904))
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_1280,refute_11_1451]) ).
cnf(refute_11_1453,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_2906,skolemFOFtoCNF_Y_127(X_2906))
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1452:[bind(X_2904,$fot(X_2906))]]) ).
cnf(refute_11_1454,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_2906,skolemFOFtoCNF_Y_127(X_2906))
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1453]) ).
cnf(refute_11_1455,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_2907,skolemFOFtoCNF_Y_127(X_2907))
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1454:[bind(X_2906,$fot(X_2907))]]) ).
cnf(refute_11_1456,plain,
( definitionFOFtoCNF_22
| r(X_2907)
| r(skolemFOFtoCNF_X_118)
| r(skolemFOFtoCNF_Y_127(X_2907)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_2907,skolemFOFtoCNF_Y_127(X_2907)) )],[refute_11_1455,refute_11_8]) ).
cnf(refute_11_1457,plain,
( definitionFOFtoCNF_22
| r(X_2909)
| r(skolemFOFtoCNF_X_118)
| r(skolemFOFtoCNF_Y_127(X_2909)) ),
inference(subst,[],[refute_11_1456:[bind(X_2907,$fot(X_2909))]]) ).
cnf(refute_11_1458,plain,
( definitionFOFtoCNF_22
| p(X)
| q(skolemFOFtoCNF_X_126)
| r(X_2909)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_2909)) )],[refute_11_1457,refute_11_6]) ).
cnf(refute_11_1459,plain,
( definitionFOFtoCNF_22
| p(X_2910)
| q(skolemFOFtoCNF_X_126)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1458:[bind(X,$fot(X_2910)),bind(X_2909,$fot(skolemFOFtoCNF_X_118))]]) ).
cnf(refute_11_1460,plain,
( definitionFOFtoCNF_22
| p(X)
| p(X_2910)
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1459,refute_11_5]) ).
cnf(refute_11_1461,plain,
( definitionFOFtoCNF_22
| p(X_2912)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1460:[bind(X,$fot(X_2912)),bind(X_2910,$fot(X_2912))]]) ).
cnf(refute_11_1462,plain,
( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1460:[bind(X,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2910,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_1463,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1462,refute_11_47]) ).
cnf(refute_11_1464,plain,
( ~ p(X_2912)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1463:[bind(X,$fot(X_2912))]]) ).
cnf(refute_11_1465,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_126) ),
inference(resolve,[$cnf( p(X_2912) )],[refute_11_1461,refute_11_1464]) ).
cnf(refute_11_1466,plain,
( definitionFOFtoCNF_22
| p(X_2911)
| q(skolemFOFtoCNF_X_126) ),
inference(subst,[],[refute_11_1460:[bind(X,$fot(X_2911)),bind(X_2910,$fot(X_2911))]]) ).
cnf(refute_11_1467,plain,
( definitionFOFtoCNF_22
| p(X)
| p(X_2911)
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1466,refute_11_87]) ).
cnf(refute_11_1468,plain,
( definitionFOFtoCNF_22
| p(X_2914)
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1467:[bind(X,$fot(X_2914)),bind(X_2911,$fot(X_2914))]]) ).
cnf(refute_11_1469,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1465,refute_11_370]) ).
cnf(refute_11_1470,plain,
( ~ p(X_2914)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(subst,[],[refute_11_1469:[bind(X,$fot(X_2914))]]) ).
cnf(refute_11_1471,plain,
( definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_118) ),
inference(resolve,[$cnf( p(X_2914) )],[refute_11_1468,refute_11_1470]) ).
cnf(refute_11_1472,plain,
( ~ q(X1)
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1471,refute_11_18]) ).
cnf(refute_11_1473,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) ),
inference(subst,[],[refute_11_1472:[bind(X1,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1474,plain,
( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_X_119) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1465,refute_11_1473]) ).
cnf(refute_11_1475,plain,
( ~ definitionFOFtoCNF_26(X_3161,skolemFOFtoCNF_Y_127(X_3161))
| ~ r(X_3161)
| ~ r(skolemFOFtoCNF_Y_127(X_3161)) ),
inference(subst,[],[refute_11_137:[bind(X,$fot(X_3161)),bind(Y,$fot(skolemFOFtoCNF_Y_127(X_3161)))]]) ).
cnf(refute_11_1476,plain,
( ~ definitionFOFtoCNF_25(X_2956,skolemFOFtoCNF_Y_125(X_2956))
| ~ q(X_2956)
| ~ q(skolemFOFtoCNF_Y_125(X_2956)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_2956)),bind(Y,$fot(skolemFOFtoCNF_Y_125(X_2956)))]]) ).
cnf(refute_11_1477,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X_2870,skolemFOFtoCNF_Y_125(X_2870))
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(subst,[],[refute_11_1432:[bind(X,$fot(X_2870)),bind(Y0,$fot(skolemFOFtoCNF_Y_128(X0)))]]) ).
cnf(refute_11_1478,plain,
( ~ definitionFOFtoCNF_24
| ~ s(X0)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X_2870,skolemFOFtoCNF_Y_125(X_2870))
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X0)) )],[refute_11_1477,refute_11_232]) ).
cnf(refute_11_1479,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X_2952,skolemFOFtoCNF_Y_125(X_2952))
| definitionFOFtoCNF_26(X_2950,skolemFOFtoCNF_Y_127(X_2950)) ),
inference(subst,[],[refute_11_1478:[bind(X,$fot(X_2950)),bind(X0,$fot(skolemFOFtoCNF_X_127)),bind(X_2870,$fot(X_2952))]]) ).
cnf(refute_11_1480,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X_2952,skolemFOFtoCNF_Y_125(X_2952))
| definitionFOFtoCNF_26(X_2950,skolemFOFtoCNF_Y_127(X_2950)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_1280,refute_11_1479]) ).
cnf(refute_11_1481,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X_2954,skolemFOFtoCNF_Y_125(X_2954))
| definitionFOFtoCNF_26(X_2953,skolemFOFtoCNF_Y_127(X_2953)) ),
inference(subst,[],[refute_11_1480:[bind(X_2950,$fot(X_2953)),bind(X_2952,$fot(X_2954))]]) ).
cnf(refute_11_1482,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X_2954,skolemFOFtoCNF_Y_125(X_2954))
| definitionFOFtoCNF_26(X_2953,skolemFOFtoCNF_Y_127(X_2953)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1481]) ).
cnf(refute_11_1483,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X_2956,skolemFOFtoCNF_Y_125(X_2956))
| definitionFOFtoCNF_26(X_2955,skolemFOFtoCNF_Y_127(X_2955)) ),
inference(subst,[],[refute_11_1482:[bind(X_2953,$fot(X_2955)),bind(X_2954,$fot(X_2956))]]) ).
cnf(refute_11_1484,plain,
( ~ q(X_2956)
| ~ q(skolemFOFtoCNF_Y_125(X_2956))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_2955,skolemFOFtoCNF_Y_127(X_2955)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2956,skolemFOFtoCNF_Y_125(X_2956)) )],[refute_11_1483,refute_11_1476]) ).
cnf(refute_11_1485,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,Y)
| ~ s(skolemFOFtoCNF_Y_123) ),
inference(canonicalize,[],[normalize_11_74]) ).
cnf(refute_11_1486,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,X_2995)
| ~ s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_1485:[bind(Y,$fot(X_2995))]]) ).
cnf(refute_11_1487,plain,
( ~ q(skolemFOFtoCNF_X_129)
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,Y)
| q(Y) ),
inference(subst,[],[refute_11_76:[bind(X,$fot(skolemFOFtoCNF_X_129))]]) ).
cnf(refute_11_1488,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,skolemFOFtoCNF_X_126)
| ~ s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_1485:[bind(Y,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1489,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_25(X,skolemFOFtoCNF_X_126)
| q(X) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1465,refute_11_81]) ).
cnf(refute_11_1490,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,skolemFOFtoCNF_X_126)
| q(skolemFOFtoCNF_X_129) ),
inference(subst,[],[refute_11_1489:[bind(X,$fot(skolemFOFtoCNF_X_129))]]) ).
cnf(refute_11_1491,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,skolemFOFtoCNF_X_126) )],[refute_11_1490,refute_11_1488]) ).
cnf(refute_11_1492,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1491]) ).
cnf(refute_11_1493,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2925)
| ~ s(skolemFOFtoCNF_X_133)
| s(Y0) ),
inference(subst,[],[refute_11_182:[bind(Y,$fot(X_2925))]]) ).
cnf(refute_11_1494,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_X_118)
| r(X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1471,refute_11_118]) ).
cnf(refute_11_1495,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_118)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_1494:[bind(X,$fot(skolemFOFtoCNF_X_132))]]) ).
cnf(refute_11_1496,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_132)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_118) )],[refute_11_1495,refute_11_183]) ).
cnf(refute_11_1497,plain,
( ~ definitionFOFtoCNF_24
| ~ s(Y0)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_X_118) )],[refute_11_1495,refute_11_186]) ).
cnf(refute_11_1498,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1497:[bind(Y0,$fot(skolemFOFtoCNF_X_127))]]) ).
cnf(refute_11_1499,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_1280,refute_11_1498]) ).
cnf(refute_11_1500,plain,
( definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1499]) ).
cnf(refute_11_1501,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_132)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_1500,refute_11_1496]) ).
cnf(refute_11_1502,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_132)
| s(X_2922) ),
inference(subst,[],[refute_11_1501:[bind(Y0,$fot(X_2922))]]) ).
cnf(refute_11_1503,plain,
( definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_132)
| s(X_2922) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1502]) ).
cnf(refute_11_1504,plain,
( definitionFOFtoCNF_22
| r(skolemFOFtoCNF_X_132)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_1503:[bind(X_2922,$fot(skolemFOFtoCNF_Y_123))]]) ).
cnf(refute_11_1505,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_1504,refute_11_1492]) ).
cnf(refute_11_1506,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1505]) ).
cnf(refute_11_1507,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| q(skolemFOFtoCNF_X_129)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_132) )],[refute_11_1506,refute_11_179]) ).
cnf(refute_11_1508,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2925)
| q(skolemFOFtoCNF_X_129)
| r(X_2925) ),
inference(subst,[],[refute_11_1507:[bind(Y,$fot(X_2925))]]) ).
cnf(refute_11_1509,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2925)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2925) )],[refute_11_1508,refute_11_1493]) ).
cnf(refute_11_1510,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2925)
| ~ s(Y0)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_177:[bind(Y,$fot(X_2925))]]) ).
cnf(refute_11_1511,plain,
( ~ definitionFOFtoCNF_24
| ~ s(Y0)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2925)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_2925) )],[refute_11_1508,refute_11_1510]) ).
cnf(refute_11_1512,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2939)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1511:[bind(Y0,$fot(skolemFOFtoCNF_X_127)),bind(X_2925,$fot(X_2939))]]) ).
cnf(refute_11_1513,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2939)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_1280,refute_11_1512]) ).
cnf(refute_11_1514,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2940)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1513:[bind(X_2939,$fot(X_2940))]]) ).
cnf(refute_11_1515,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2940)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1514]) ).
cnf(refute_11_1516,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2941)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1515:[bind(X_2940,$fot(X_2941))]]) ).
cnf(refute_11_1517,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2925)
| r(X_2941)
| s(Y0) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_1516,refute_11_1509]) ).
cnf(refute_11_1518,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2979)
| r(X_2980)
| s(X_2978) ),
inference(subst,[],[refute_11_1517:[bind(Y0,$fot(X_2978)),bind(X_2925,$fot(X_2980)),bind(X_2941,$fot(X_2979))]]) ).
cnf(refute_11_1519,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2979)
| r(X_2980)
| s(X_2978) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1518]) ).
cnf(refute_11_1520,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2982)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_1519:[bind(X_2978,$fot(skolemFOFtoCNF_Y_123)),bind(X_2979,$fot(X_2982)),bind(X_2980,$fot(X_2982))]]) ).
cnf(refute_11_1521,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2982) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_1520,refute_11_1492]) ).
cnf(refute_11_1522,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2983) ),
inference(subst,[],[refute_11_1521:[bind(X_2982,$fot(X_2983))]]) ).
cnf(refute_11_1523,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(X_2983) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1522]) ).
cnf(refute_11_1524,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129)
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_1523:[bind(X_2983,$fot(skolemFOFtoCNF_Y_116))]]) ).
cnf(refute_11_1525,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| p(Y)
| q(Y0)
| q(skolemFOFtoCNF_X_129) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_1524,refute_11_314]) ).
cnf(refute_11_1526,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| p(X_2990)
| q(X_2991)
| q(skolemFOFtoCNF_X_129) ),
inference(subst,[],[refute_11_1525:[bind(Y,$fot(X_2990)),bind(Y0,$fot(X_2991))]]) ).
cnf(refute_11_1527,plain,
( definitionFOFtoCNF_22
| p(X_2990)
| q(X_2991)
| q(skolemFOFtoCNF_X_129) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1278,refute_11_1526]) ).
cnf(refute_11_1528,plain,
( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_Y_129(X))
| q(skolemFOFtoCNF_X_129) ),
inference(subst,[],[refute_11_1527:[bind(X_2990,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_2991,$fot(skolemFOFtoCNF_X_129))]]) ).
cnf(refute_11_1529,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1528,refute_11_47]) ).
cnf(refute_11_1530,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129) ),
inference(subst,[],[refute_11_1529:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_1531,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_X_129) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_1474,refute_11_1530]) ).
cnf(refute_11_1532,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,Y)
| q(Y) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_129) )],[refute_11_1531,refute_11_1487]) ).
cnf(refute_11_1533,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,X_2995)
| q(X_2995) ),
inference(subst,[],[refute_11_1532:[bind(Y,$fot(X_2995))]]) ).
cnf(refute_11_1534,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_22
| q(X_2995) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(skolemFOFtoCNF_X_129,X_2995) )],[refute_11_1533,refute_11_1486]) ).
cnf(refute_11_1535,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_22
| q(X_2995) ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1534]) ).
cnf(refute_11_1536,plain,
( ~ definitionFOFtoCNF_25(X_2870,skolemFOFtoCNF_Y_125(X_2870))
| ~ q(X_2870)
| ~ q(skolemFOFtoCNF_Y_125(X_2870)) ),
inference(subst,[],[refute_11_65:[bind(X,$fot(X_2870)),bind(Y,$fot(skolemFOFtoCNF_Y_125(X_2870)))]]) ).
cnf(refute_11_1537,plain,
( ~ q(X_2870)
| ~ q(skolemFOFtoCNF_Y_125(X_2870))
| definitionFOFtoCNF_22
| s(X_2871) ),
inference(resolve,[$cnf( definitionFOFtoCNF_25(X_2870,skolemFOFtoCNF_Y_125(X_2870)) )],[refute_11_1433,refute_11_1536]) ).
cnf(refute_11_1538,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| ~ s(skolemFOFtoCNF_Y_128(X_2947))
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_177:[bind(Y0,$fot(skolemFOFtoCNF_Y_128(X_2947)))]]) ).
cnf(refute_11_1539,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X,skolemFOFtoCNF_Y_127(X))
| s(X0)
| s(skolemFOFtoCNF_Y_128(X0)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_281]) ).
cnf(refute_11_1540,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_Y_127(skolemFOFtoCNF_X_132))
| s(X_2879)
| s(skolemFOFtoCNF_Y_128(X_2879)) ),
inference(subst,[],[refute_11_1539:[bind(X,$fot(skolemFOFtoCNF_X_132)),bind(X0,$fot(X_2879))]]) ).
cnf(refute_11_1541,plain,
( ~ definitionFOFtoCNF_24
| ~ s(Y0)
| definitionFOFtoCNF_22
| s(X_2879)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2879)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,skolemFOFtoCNF_Y_127(skolemFOFtoCNF_X_132)) )],[refute_11_1540,refute_11_697]) ).
cnf(refute_11_1542,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_127)
| definitionFOFtoCNF_22
| s(X_2945)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2945)) ),
inference(subst,[],[refute_11_1541:[bind(Y0,$fot(skolemFOFtoCNF_X_127)),bind(X_2879,$fot(X_2945))]]) ).
cnf(refute_11_1543,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| s(X_2945)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2945)) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_127) )],[refute_11_1280,refute_11_1542]) ).
cnf(refute_11_1544,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| s(X_2946)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2946)) ),
inference(subst,[],[refute_11_1543:[bind(X_2945,$fot(X_2946))]]) ).
cnf(refute_11_1545,plain,
( definitionFOFtoCNF_22
| s(X_2946)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2946)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1544]) ).
cnf(refute_11_1546,plain,
( definitionFOFtoCNF_22
| s(X_2947)
| s(skolemFOFtoCNF_X_133)
| s(skolemFOFtoCNF_Y_128(X_2947)) ),
inference(subst,[],[refute_11_1545:[bind(X_2946,$fot(X_2947))]]) ).
cnf(refute_11_1547,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| definitionFOFtoCNF_22
| s(X_2947)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_128(X_2947)) )],[refute_11_1546,refute_11_1538]) ).
cnf(refute_11_1548,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_3001)
| definitionFOFtoCNF_22
| s(X_2947)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1547:[bind(Y,$fot(X_3001))]]) ).
cnf(refute_11_1549,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_Y_123)
| definitionFOFtoCNF_22
| q(X_2996) ),
inference(subst,[],[refute_11_1535:[bind(X_2995,$fot(X_2996))]]) ).
cnf(refute_11_1550,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(X_2996)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_1504,refute_11_1549]) ).
cnf(refute_11_1551,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(X_2997)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_1550:[bind(X_2996,$fot(X_2997))]]) ).
cnf(refute_11_1552,plain,
( definitionFOFtoCNF_22
| q(X_2997)
| r(skolemFOFtoCNF_X_132) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1551]) ).
cnf(refute_11_1553,plain,
( definitionFOFtoCNF_22
| q(X_2998)
| r(skolemFOFtoCNF_X_132) ),
inference(subst,[],[refute_11_1552:[bind(X_2997,$fot(X_2998))]]) ).
cnf(refute_11_1554,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,Y)
| q(X_2998)
| r(Y) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_132) )],[refute_11_1553,refute_11_179]) ).
cnf(refute_11_1555,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_3001)
| q(X_3002)
| r(X_3001) ),
inference(subst,[],[refute_11_1554:[bind(Y,$fot(X_3001)),bind(X_2998,$fot(X_3002))]]) ).
cnf(refute_11_1556,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(X_3002)
| r(X_3001)
| s(X_2947)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_3001) )],[refute_11_1555,refute_11_1548]) ).
cnf(refute_11_1557,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(X_3041)
| r(X_3040)
| s(X_3039)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1556:[bind(X_2947,$fot(X_3039)),bind(X_3001,$fot(X_3040)),bind(X_3002,$fot(X_3041))]]) ).
cnf(refute_11_1558,plain,
( definitionFOFtoCNF_22
| q(X_3041)
| r(X_3040)
| s(X_3039)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1557]) ).
cnf(refute_11_1559,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_Y_125(X_2870))
| r(X_3042)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1558:[bind(X_3039,$fot(skolemFOFtoCNF_X_133)),bind(X_3040,$fot(X_3042)),bind(X_3041,$fot(skolemFOFtoCNF_Y_125(X_2870)))]]) ).
cnf(refute_11_1560,plain,
( ~ q(X_2870)
| definitionFOFtoCNF_22
| r(X_3042)
| s(X_2871)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2870)) )],[refute_11_1559,refute_11_1537]) ).
cnf(refute_11_1561,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| r(X_3046)
| s(X_3045)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1560:[bind(X_2870,$fot(skolemFOFtoCNF_X_126)),bind(X_2871,$fot(X_3045)),bind(X_3042,$fot(X_3046))]]) ).
cnf(refute_11_1562,plain,
( definitionFOFtoCNF_22
| r(X_3046)
| s(X_3045)
| s(skolemFOFtoCNF_X_133) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1465,refute_11_1561]) ).
cnf(refute_11_1563,plain,
( definitionFOFtoCNF_22
| r(X_3046)
| s(skolemFOFtoCNF_X_133) ),
inference(subst,[],[refute_11_1562:[bind(X_3045,$fot(skolemFOFtoCNF_X_133))]]) ).
cnf(refute_11_1564,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_3001)
| ~ s(skolemFOFtoCNF_X_133)
| s(Y0) ),
inference(subst,[],[refute_11_182:[bind(Y,$fot(X_3001))]]) ).
cnf(refute_11_1565,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_22
| q(X_3002)
| r(X_3001)
| s(Y0) ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(skolemFOFtoCNF_X_132,X_3001) )],[refute_11_1555,refute_11_1564]) ).
cnf(refute_11_1566,plain,
( ~ definitionFOFtoCNF_24
| ~ s(skolemFOFtoCNF_X_133)
| definitionFOFtoCNF_22
| q(X_3050)
| r(X_3049)
| s(X_3048) ),
inference(subst,[],[refute_11_1565:[bind(Y0,$fot(X_3048)),bind(X_3001,$fot(X_3049)),bind(X_3002,$fot(X_3050))]]) ).
cnf(refute_11_1567,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(X_3050)
| r(X_3046)
| r(X_3049)
| s(X_3048) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_X_133) )],[refute_11_1563,refute_11_1566]) ).
cnf(refute_11_1568,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(X_3107)
| r(X_3104)
| r(X_3106)
| s(X_3105) ),
inference(subst,[],[refute_11_1567:[bind(X_3046,$fot(X_3106)),bind(X_3048,$fot(X_3105)),bind(X_3049,$fot(X_3104)),bind(X_3050,$fot(X_3107))]]) ).
cnf(refute_11_1569,plain,
( definitionFOFtoCNF_22
| q(X_3107)
| r(X_3104)
| r(X_3106)
| s(X_3105) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1568]) ).
cnf(refute_11_1570,plain,
( definitionFOFtoCNF_22
| q(X_3110)
| r(X_3109)
| s(skolemFOFtoCNF_Y_123) ),
inference(subst,[],[refute_11_1569:[bind(X_3104,$fot(X_3109)),bind(X_3105,$fot(skolemFOFtoCNF_Y_123)),bind(X_3106,$fot(X_3109)),bind(X_3107,$fot(X_3110))]]) ).
cnf(refute_11_1571,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(X_2995)
| q(X_3110)
| r(X_3109) ),
inference(resolve,[$cnf( s(skolemFOFtoCNF_Y_123) )],[refute_11_1570,refute_11_1535]) ).
cnf(refute_11_1572,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_22
| q(X_3111)
| q(X_3113)
| r(X_3112) ),
inference(subst,[],[refute_11_1571:[bind(X_2995,$fot(X_3113)),bind(X_3109,$fot(X_3112)),bind(X_3110,$fot(X_3111))]]) ).
cnf(refute_11_1573,plain,
( definitionFOFtoCNF_22
| q(X_3111)
| q(X_3113)
| r(X_3112) ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_1427,refute_11_1572]) ).
cnf(refute_11_1574,plain,
( definitionFOFtoCNF_22
| q(X_3115)
| r(skolemFOFtoCNF_Y_116) ),
inference(subst,[],[refute_11_1573:[bind(X_3111,$fot(X_3115)),bind(X_3112,$fot(skolemFOFtoCNF_Y_116)),bind(X_3113,$fot(X_3115))]]) ).
cnf(refute_11_1575,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| p(Y)
| q(Y0)
| q(X_3115) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_116) )],[refute_11_1574,refute_11_314]) ).
cnf(refute_11_1576,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| p(X_3148)
| q(X_3149)
| q(X_3150) ),
inference(subst,[],[refute_11_1575:[bind(Y,$fot(X_3148)),bind(Y0,$fot(X_3150)),bind(X_3115,$fot(X_3149))]]) ).
cnf(refute_11_1577,plain,
( definitionFOFtoCNF_22
| p(X_3148)
| q(X_3149)
| q(X_3150) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1278,refute_11_1576]) ).
cnf(refute_11_1578,plain,
( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_Y_129(X))
| q(X_3152) ),
inference(subst,[],[refute_11_1577:[bind(X_3148,$fot(skolemFOFtoCNF_Y_129(X))),bind(X_3149,$fot(X_3152)),bind(X_3150,$fot(X_3152))]]) ).
cnf(refute_11_1579,plain,
( ~ p(X)
| definitionFOFtoCNF_22
| q(X_3152) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1578,refute_11_47]) ).
cnf(refute_11_1580,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22
| q(X_3154) ),
inference(subst,[],[refute_11_1579:[bind(X,$fot(skolemFOFtoCNF_X_119)),bind(X_3152,$fot(X_3154))]]) ).
cnf(refute_11_1581,plain,
( definitionFOFtoCNF_22
| q(X_3154) ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_1474,refute_11_1580]) ).
cnf(refute_11_1582,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_Y_125(X_2956)) ),
inference(subst,[],[refute_11_1581:[bind(X_3154,$fot(skolemFOFtoCNF_Y_125(X_2956)))]]) ).
cnf(refute_11_1583,plain,
( ~ q(X_2956)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_2955,skolemFOFtoCNF_Y_127(X_2955)) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_125(X_2956)) )],[refute_11_1582,refute_11_1484]) ).
cnf(refute_11_1584,plain,
( ~ q(skolemFOFtoCNF_X_126)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_3159,skolemFOFtoCNF_Y_127(X_3159)) ),
inference(subst,[],[refute_11_1583:[bind(X_2955,$fot(X_3159)),bind(X_2956,$fot(skolemFOFtoCNF_X_126))]]) ).
cnf(refute_11_1585,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_3159,skolemFOFtoCNF_Y_127(X_3159)) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_X_126) )],[refute_11_1465,refute_11_1584]) ).
cnf(refute_11_1586,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_26(X_3161,skolemFOFtoCNF_Y_127(X_3161)) ),
inference(subst,[],[refute_11_1585:[bind(X_3159,$fot(X_3161))]]) ).
cnf(refute_11_1587,plain,
( ~ r(X_3161)
| ~ r(skolemFOFtoCNF_Y_127(X_3161))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26(X_3161,skolemFOFtoCNF_Y_127(X_3161)) )],[refute_11_1586,refute_11_1475]) ).
cnf(refute_11_1588,plain,
( definitionFOFtoCNF_22
| q(skolemFOFtoCNF_Y_119) ),
inference(subst,[],[refute_11_1581:[bind(X_3154,$fot(skolemFOFtoCNF_Y_119))]]) ).
cnf(refute_11_1589,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| p(Y)
| r(Y1) ),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_119) )],[refute_11_1588,refute_11_384]) ).
cnf(refute_11_1590,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_22
| p(X_3163)
| r(X_3164) ),
inference(subst,[],[refute_11_1589:[bind(Y,$fot(X_3163)),bind(Y1,$fot(X_3164))]]) ).
cnf(refute_11_1591,plain,
( definitionFOFtoCNF_22
| p(X_3163)
| r(X_3164) ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_1278,refute_11_1590]) ).
cnf(refute_11_1592,plain,
( definitionFOFtoCNF_22
| p(X_3165)
| r(skolemFOFtoCNF_Y_127(X_3161)) ),
inference(subst,[],[refute_11_1591:[bind(X_3163,$fot(X_3165)),bind(X_3164,$fot(skolemFOFtoCNF_Y_127(X_3161)))]]) ).
cnf(refute_11_1593,plain,
( ~ r(X_3161)
| definitionFOFtoCNF_22
| p(X_3165) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y_127(X_3161)) )],[refute_11_1592,refute_11_1587]) ).
cnf(refute_11_1594,plain,
( ~ r(skolemFOFtoCNF_X_118)
| definitionFOFtoCNF_22
| p(X_3168) ),
inference(subst,[],[refute_11_1593:[bind(X_3161,$fot(skolemFOFtoCNF_X_118)),bind(X_3165,$fot(X_3168))]]) ).
cnf(refute_11_1595,plain,
( definitionFOFtoCNF_22
| p(X_3168) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X_118) )],[refute_11_1471,refute_11_1594]) ).
cnf(refute_11_1596,plain,
( definitionFOFtoCNF_22
| p(skolemFOFtoCNF_Y_129(X)) ),
inference(subst,[],[refute_11_1595:[bind(X_3168,$fot(skolemFOFtoCNF_Y_129(X)))]]) ).
cnf(refute_11_1597,plain,
( ~ p(X)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y_129(X)) )],[refute_11_1596,refute_11_47]) ).
cnf(refute_11_1598,plain,
( ~ p(skolemFOFtoCNF_X_119)
| definitionFOFtoCNF_22 ),
inference(subst,[],[refute_11_1597:[bind(X,$fot(skolemFOFtoCNF_X_119))]]) ).
cnf(refute_11_1599,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_119) )],[refute_11_1474,refute_11_1598]) ).
cnf(refute_11_1600,plain,
( ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_1599,refute_11_0]) ).
cnf(refute_11_1601,plain,
~ definitionFOFtoCNF_21,
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_838,refute_11_1600]) ).
cnf(refute_11_1602,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_1212,refute_11_1601]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 02:24:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.77/8.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.77/8.95
% 8.77/8.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.94/9.14
%------------------------------------------------------------------------------