TSTP Solution File: SEV515+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 : Tue Jul 19 17:45:31 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 5
% Syntax : Number of formulae : 189 ( 17 unt; 0 def)
% Number of atoms : 831 ( 0 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 958 ( 316 ~; 489 |; 140 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 204 ( 0 sgn 124 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nc1,conjecture,
( ! [A] :
? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) )
| ( ? [A] :
( ? [B] :
( g_both(B,A)
& g_both(B,B) )
& ~ ? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) ) )
& ~ ? [A] :
! [B] :
( ( g_true_only(B,A)
& g_false_only(B,B) )
| ( g_false_only(B,A)
& g_true_only(B,B) ) ) ) ) ).
fof(true_only_g,axiom,
! [X_2,X_1] :
( g_true_only(X_2,X_1)
<=> ( g_true(X_2,X_1)
& ~ g_false(X_2,X_1) ) ) ).
fof(both_g,axiom,
! [X_2,X_1] :
( g_both(X_2,X_1)
<=> ( g_true(X_2,X_1)
& g_false(X_2,X_1) ) ) ).
fof(false_only_g,axiom,
! [X_2,X_1] :
( g_false_only(X_2,X_1)
<=> ( g_false(X_2,X_1)
& ~ g_true(X_2,X_1) ) ) ).
fof(exhaustion_g,axiom,
! [X_2,X_1] :
( g_true_only(X_2,X_1)
| g_both(X_2,X_1)
| g_false_only(X_2,X_1) ) ).
fof(subgoal_0,plain,
( ~ ! [A] :
? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) )
=> ? [A] :
( ? [B] :
( g_both(B,A)
& g_both(B,B) )
& ~ ? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) ) ) ),
inference(strip,[],[nc1]) ).
fof(subgoal_1,plain,
( ( ~ ! [A] :
? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) )
& ? [A] :
( ? [B] :
( g_both(B,A)
& g_both(B,B) )
& ~ ? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) ) ) )
=> ! [A] :
~ ! [B] :
( ( g_true_only(B,A)
& g_false_only(B,B) )
| ( g_false_only(B,A)
& g_true_only(B,B) ) ) ),
inference(strip,[],[nc1]) ).
fof(negate_0_0,plain,
~ ( ~ ! [A] :
? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) )
=> ? [A] :
( ? [B] :
( g_both(B,A)
& g_both(B,B) )
& ~ ? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [A] :
( ! [B] :
( ~ g_both(B,A)
| ( ~ g_false_only(B,B)
& ~ g_true_only(B,B) ) )
& ! [B] :
( ~ g_false_only(B,A)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) )
& ! [B] :
( ~ g_true_only(B,A)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ) )
& ! [A] :
( ? [B] :
( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ? [B] :
( g_false_only(B,A)
& ( g_both(B,B)
| g_false_only(B,B) ) )
| ? [B] :
( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ! [B] :
( ~ g_both(B,A)
| ~ g_both(B,B) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [A] :
( ! [B] :
( ~ g_both(B,A)
| ( ~ g_false_only(B,B)
& ~ g_true_only(B,B) ) )
& ! [B] :
( ~ g_false_only(B,A)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) )
& ! [B] :
( ~ g_true_only(B,A)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ! [B] :
( ~ g_both(B,skolemFOFtoCNF_A)
| ( ~ g_false_only(B,B)
& ~ g_true_only(B,B) ) )
& ! [B] :
( ~ g_false_only(B,skolemFOFtoCNF_A)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) )
& ! [B] :
( ~ g_true_only(B,skolemFOFtoCNF_A)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [B] :
( ~ g_false_only(B,skolemFOFtoCNF_A)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B] :
( ~ g_false_only(B,skolemFOFtoCNF_A)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [B] :
( ( ~ g_both(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A) )
& ( ~ g_false_only(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B] :
( ~ g_both(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [B] :
( ~ g_true_only(B,skolemFOFtoCNF_A)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_8,plain,
! [B] :
( ~ g_true_only(B,skolemFOFtoCNF_A)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [B] :
( ( ~ g_both(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A) )
& ( ~ g_true_only(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [B] :
( ~ g_both(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [B] :
( ~ g_false_only(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_12,plain,
! [X_1,X_2] :
( ~ g_true_only(X_2,X_1)
<=> ( ~ g_true(X_2,X_1)
| g_false(X_2,X_1) ) ),
inference(canonicalize,[],[true_only_g]) ).
fof(normalize_0_13,plain,
! [X_1,X_2] :
( ~ g_true_only(X_2,X_1)
<=> ( ~ g_true(X_2,X_1)
| g_false(X_2,X_1) ) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X_1,X_2] :
( ( ~ g_false(X_2,X_1)
| ~ g_true_only(X_2,X_1) )
& ( ~ g_true_only(X_2,X_1)
| g_true(X_2,X_1) )
& ( ~ g_true(X_2,X_1)
| g_false(X_2,X_1)
| g_true_only(X_2,X_1) ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X_1,X_2] :
( ~ g_false(X_2,X_1)
| ~ g_true_only(X_2,X_1) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [B] :
( ~ g_true_only(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_17,plain,
! [X_1,X_2] :
( g_both(X_2,X_1)
| g_false_only(X_2,X_1)
| g_true_only(X_2,X_1) ),
inference(canonicalize,[],[exhaustion_g]) ).
fof(normalize_0_18,plain,
! [X_1,X_2] :
( g_both(X_2,X_1)
| g_false_only(X_2,X_1)
| g_true_only(X_2,X_1) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A] :
( ? [B] :
( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ? [B] :
( g_false_only(B,A)
& ( g_both(B,B)
| g_false_only(B,B) ) )
| ? [B] :
( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ! [B] :
( ~ g_both(B,A)
| ~ g_both(B,B) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_20,plain,
! [A] :
( ? [B] :
( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ? [B] :
( g_false_only(B,A)
& ( g_both(B,B)
| g_false_only(B,B) ) )
| ? [B] :
( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ! [B] :
( ~ g_both(B,A)
| ~ g_both(B,B) ) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B] :
( ( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B_2(A),A) )
& ( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B_2(A),A) )
& ( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) )
& ( ~ g_both(B,A)
| ~ g_both(B,B)
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),A) )
& ( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) )
& ( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),A) )
& ( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) )
& ( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A,B] :
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X_1,X_2] :
( ~ g_false_only(X_2,X_1)
<=> ( ~ g_false(X_2,X_1)
| g_true(X_2,X_1) ) ),
inference(canonicalize,[],[false_only_g]) ).
fof(normalize_0_24,plain,
! [X_1,X_2] :
( ~ g_false_only(X_2,X_1)
<=> ( ~ g_false(X_2,X_1)
| g_true(X_2,X_1) ) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X_1,X_2] :
( ( ~ g_false_only(X_2,X_1)
| ~ g_true(X_2,X_1) )
& ( ~ g_false_only(X_2,X_1)
| g_false(X_2,X_1) )
& ( ~ g_false(X_2,X_1)
| g_false_only(X_2,X_1)
| g_true(X_2,X_1) ) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X_1,X_2] :
( ~ g_false_only(X_2,X_1)
| ~ g_true(X_2,X_1) ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X_1,X_2] :
( ~ g_both(X_2,X_1)
<=> ( ~ g_false(X_2,X_1)
| ~ g_true(X_2,X_1) ) ),
inference(canonicalize,[],[both_g]) ).
fof(normalize_0_28,plain,
! [X_1,X_2] :
( ~ g_both(X_2,X_1)
<=> ( ~ g_false(X_2,X_1)
| ~ g_true(X_2,X_1) ) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X_1,X_2] :
( ( ~ g_both(X_2,X_1)
| g_false(X_2,X_1) )
& ( ~ g_both(X_2,X_1)
| g_true(X_2,X_1) )
& ( ~ g_false(X_2,X_1)
| ~ g_true(X_2,X_1)
| g_both(X_2,X_1) ) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X_1,X_2] :
( ~ g_both(X_2,X_1)
| g_true(X_2,X_1) ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [B] :
( ~ g_both(B,skolemFOFtoCNF_A)
| ( ~ g_false_only(B,B)
& ~ g_true_only(B,B) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_32,plain,
! [B] :
( ~ g_both(B,skolemFOFtoCNF_A)
| ( ~ g_false_only(B,B)
& ~ g_true_only(B,B) ) ),
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [B] :
( ( ~ g_both(B,skolemFOFtoCNF_A)
| ~ g_false_only(B,B) )
& ( ~ g_both(B,skolemFOFtoCNF_A)
| ~ g_true_only(B,B) ) ),
inference(clausify,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [B] :
( ~ g_both(B,skolemFOFtoCNF_A)
| ~ g_false_only(B,B) ),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [B] :
( ~ g_both(B,skolemFOFtoCNF_A)
| ~ g_true_only(B,B) ),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_36,plain,
! [A,B] :
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B_2(A),A) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_37,plain,
! [A,B] :
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_38,plain,
! [A,B] :
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B_2(A),A) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_39,plain,
! [X_1,X_2] :
( ~ g_false_only(X_2,X_1)
| g_false(X_2,X_1) ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_40,plain,
! [A,B] :
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_41,plain,
! [A,B] :
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),A) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_42,plain,
! [X_1,X_2] :
( ~ g_both(X_2,X_1)
| g_false(X_2,X_1) ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_43,plain,
! [A,B] :
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),A) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_44,plain,
! [A,B] :
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) ),
inference(conjunct,[],[normalize_0_21]) ).
cnf(refute_0_0,plain,
( ~ g_both(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_1,plain,
( ~ g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_2,plain,
( ~ g_both(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_3,plain,
( ~ g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(B,$fot(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_4,plain,
( ~ g_false_only(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_5,plain,
( ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_4:[bind(B,$fot(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_6,plain,
( ~ g_false(X_2,X_1)
| ~ g_true_only(X_2,X_1) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_7,plain,
( ~ g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| ~ g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_6:[bind(X_1,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A))),bind(X_2,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_8,plain,
( ~ g_true_only(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_9,plain,
( ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_8:[bind(B,$fot(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_10,plain,
~ g_true_only(skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_8:[bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_11,plain,
( g_both(X_2,X_1)
| g_false_only(X_2,X_1)
| g_true_only(X_2,X_1) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_12,plain,
( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_false_only(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_11:[bind(X_1,$fot(skolemFOFtoCNF_A)),bind(X_2,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_13,plain,
( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_false_only(skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_12,refute_0_10]) ).
cnf(refute_0_14,plain,
~ g_false_only(skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_4:[bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_15,plain,
g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_17,plain,
( ~ g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_18,plain,
( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ g_false_only(X_2,X_1)
| ~ g_true(X_2,X_1) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_20,plain,
( ~ g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| ~ g_true(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_19:[bind(X_1,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A))),bind(X_2,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_21,plain,
( ~ g_both(X_2,X_1)
| g_true(X_2,X_1) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_22,plain,
( ~ g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_21:[bind(X_1,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A))),bind(X_2,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_23,plain,
( ~ g_both(B,skolemFOFtoCNF_A)
| ~ g_false_only(B,B) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_24,plain,
( ~ g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| ~ g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_23:[bind(B,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_25,plain,
( ~ g_both(B,skolemFOFtoCNF_A)
| ~ g_true_only(B,B) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_26,plain,
( ~ g_both(X_18,skolemFOFtoCNF_A)
| ~ g_true_only(X_18,X_18) ),
inference(subst,[],[refute_0_25:[bind(B,$fot(X_18))]]) ).
cnf(refute_0_27,plain,
( g_both(X_18,X_18)
| g_false_only(X_18,X_18)
| g_true_only(X_18,X_18) ),
inference(subst,[],[refute_0_11:[bind(X_1,$fot(X_18)),bind(X_2,$fot(X_18))]]) ).
cnf(refute_0_28,plain,
( ~ g_both(X_18,skolemFOFtoCNF_A)
| g_both(X_18,X_18)
| g_false_only(X_18,X_18) ),
inference(resolve,[$cnf( g_true_only(X_18,X_18) )],[refute_0_27,refute_0_26]) ).
cnf(refute_0_29,plain,
( ~ g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_28:[bind(X_18,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_30,plain,
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B_2(A),A) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_31,plain,
( ~ g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_32,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_15,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_34,plain,
( ~ g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_15,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_35,refute_0_9]) ).
cnf(refute_0_37,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_32,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_37,refute_0_3]) ).
cnf(refute_0_39,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_32,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B_2(A),A) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_41,plain,
( ~ g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_42,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_15,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) )],[refute_0_42,refute_0_5]) ).
cnf(refute_0_44,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_39,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) )],[refute_0_44,refute_0_1]) ).
cnf(refute_0_46,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_39,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ g_false_only(X_2,X_1)
| g_false(X_2,X_1) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_48,plain,
( ~ g_false_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_47:[bind(X_1,$fot(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))),bind(X_2,$fot(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_49,plain,
( ~ g_true_only(X_18,X_18)
| ~ g_true_only(X_18,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_8:[bind(B,$fot(X_18))]]) ).
cnf(refute_0_50,plain,
( ~ g_true_only(X_18,skolemFOFtoCNF_A)
| g_both(X_18,X_18)
| g_false_only(X_18,X_18) ),
inference(resolve,[$cnf( g_true_only(X_18,X_18) )],[refute_0_27,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_50:[bind(X_18,$fot(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_52,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_46,refute_0_51]) ).
cnf(refute_0_53,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_52,refute_0_48]) ).
cnf(refute_0_54,plain,
( ~ g_false(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_6:[bind(X_1,$fot(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))),bind(X_2,$fot(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_55,plain,
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B(A),A)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_56,plain,
( ~ g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_57,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_15,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ g_false(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_57,refute_0_54]) ).
cnf(refute_0_59,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_53,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) )],[refute_0_59,refute_0_5]) ).
cnf(refute_0_61,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_39,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_61,refute_0_3]) ).
cnf(refute_0_63,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_46,refute_0_62]) ).
cnf(refute_0_64,plain,
( ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) )],[refute_0_63,refute_0_1]) ).
cnf(refute_0_65,plain,
g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_39,refute_0_64]) ).
cnf(refute_0_66,plain,
( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_65,refute_0_29]) ).
cnf(refute_0_67,plain,
( ~ g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_66,refute_0_24]) ).
cnf(refute_0_68,plain,
g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_65,refute_0_67]) ).
cnf(refute_0_69,plain,
g_true(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_68,refute_0_22]) ).
cnf(refute_0_70,plain,
~ g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( g_true(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_69,refute_0_20]) ).
cnf(refute_0_71,plain,
( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_18,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_71,refute_0_9]) ).
cnf(refute_0_73,plain,
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_B_1(A))
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),A) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_74,plain,
( ~ g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_73:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_75,plain,
( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_15,refute_0_74]) ).
cnf(refute_0_76,plain,
( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_75,refute_0_70]) ).
cnf(refute_0_77,plain,
( ~ g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_76,refute_0_7]) ).
cnf(refute_0_78,plain,
( ~ g_both(X_2,X_1)
| g_false(X_2,X_1) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_79,plain,
( ~ g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_78:[bind(X_1,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A))),bind(X_2,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_80,plain,
g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_68,refute_0_79]) ).
cnf(refute_0_81,plain,
( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_80,refute_0_77]) ).
cnf(refute_0_82,plain,
( ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) )],[refute_0_81,refute_0_5]) ).
cnf(refute_0_83,plain,
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),A) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_84,plain,
( ~ g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_85,plain,
( g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_15,refute_0_84]) ).
cnf(refute_0_86,plain,
( ~ g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_85,refute_0_7]) ).
cnf(refute_0_87,plain,
( g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_80,refute_0_86]) ).
cnf(refute_0_88,plain,
( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_87,refute_0_70]) ).
cnf(refute_0_89,plain,
( ~ g_both(B,A)
| ~ g_both(B,B)
| g_both(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A))
| g_false_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_false_only(skolemFOFtoCNF_B_1(A),A)
| g_true_only(skolemFOFtoCNF_B(A),skolemFOFtoCNF_B(A))
| g_true_only(skolemFOFtoCNF_B_2(A),skolemFOFtoCNF_B_2(A)) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_90,plain,
( ~ g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_91,plain,
( g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_15,refute_0_90]) ).
cnf(refute_0_92,plain,
( g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_91,refute_0_70]) ).
cnf(refute_0_93,plain,
( ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_92,refute_0_9]) ).
cnf(refute_0_94,plain,
( g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_88,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_94,refute_0_7]) ).
cnf(refute_0_96,plain,
( g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_80,refute_0_95]) ).
cnf(refute_0_97,plain,
( ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_96,refute_0_3]) ).
cnf(refute_0_98,plain,
g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_88,refute_0_97]) ).
cnf(refute_0_99,plain,
( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_98,refute_0_82]) ).
cnf(refute_0_100,plain,
( ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) )],[refute_0_99,refute_0_1]) ).
cnf(refute_0_101,plain,
g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_101,refute_0_72]) ).
cnf(refute_0_103,plain,
( ~ g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_102,refute_0_7]) ).
cnf(refute_0_104,plain,
( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A))
| g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false(skolemFOFtoCNF_B(skolemFOFtoCNF_A),skolemFOFtoCNF_B(skolemFOFtoCNF_A)) )],[refute_0_80,refute_0_103]) ).
cnf(refute_0_105,plain,
( ~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) )],[refute_0_104,refute_0_5]) ).
cnf(refute_0_106,plain,
( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A))
| g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_98,refute_0_105]) ).
cnf(refute_0_107,plain,
( ~ g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_B_2(skolemFOFtoCNF_A)) )],[refute_0_106,refute_0_3]) ).
cnf(refute_0_108,plain,
g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_B_2(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_101,refute_0_107]) ).
cnf(refute_0_109,plain,
~ g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A),
inference(resolve,[$cnf( g_both(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A)) )],[refute_0_108,refute_0_1]) ).
cnf(refute_0_110,plain,
$false,
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_98,refute_0_109]) ).
fof(negate_1_0,plain,
~ ( ( ~ ! [A] :
? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) )
& ? [A] :
( ? [B] :
( g_both(B,A)
& g_both(B,B) )
& ~ ? [B] :
( ( g_true_only(B,A)
& ( g_both(B,B)
| g_true_only(B,B) ) )
| ( g_both(B,A)
& ( g_false_only(B,B)
| g_true_only(B,B) ) )
| ( g_false_only(B,A)
& ( g_false_only(B,B)
| g_both(B,B) ) ) ) ) )
=> ! [A] :
~ ! [B] :
( ( g_true_only(B,A)
& g_false_only(B,B) )
| ( g_false_only(B,A)
& g_true_only(B,B) ) ) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ? [A] :
( ! [B] :
( ~ g_both(B,A)
| ( ~ g_false_only(B,B)
& ~ g_true_only(B,B) ) )
& ! [B] :
( ~ g_false_only(B,A)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) )
& ! [B] :
( ~ g_true_only(B,A)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ) )
& ? [A] :
( ? [B] :
( g_both(B,A)
& g_both(B,B) )
& ! [B] :
( ~ g_both(B,A)
| ( ~ g_false_only(B,B)
& ~ g_true_only(B,B) ) )
& ! [B] :
( ~ g_false_only(B,A)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) )
& ! [B] :
( ~ g_true_only(B,A)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ) )
& ? [A] :
! [B] :
( ( g_false_only(B,A)
& g_true_only(B,B) )
| ( g_false_only(B,B)
& g_true_only(B,A) ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
? [A] :
( ! [B] :
( ~ g_both(B,A)
| ( ~ g_false_only(B,B)
& ~ g_true_only(B,B) ) )
& ! [B] :
( ~ g_false_only(B,A)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) )
& ! [B] :
( ~ g_true_only(B,A)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( ! [B] :
( ~ g_both(B,skolemFOFtoCNF_A_1)
| ( ~ g_false_only(B,B)
& ~ g_true_only(B,B) ) )
& ! [B] :
( ~ g_false_only(B,skolemFOFtoCNF_A_1)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) )
& ! [B] :
( ~ g_true_only(B,skolemFOFtoCNF_A_1)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ) ),
inference(skolemize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [B] :
( ~ g_true_only(B,skolemFOFtoCNF_A_1)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [B] :
( ~ g_true_only(B,skolemFOFtoCNF_A_1)
| ( ~ g_both(B,B)
& ~ g_true_only(B,B) ) ),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [B] :
( ( ~ g_both(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A_1) )
& ( ~ g_true_only(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A_1) ) ),
inference(clausify,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [B] :
( ~ g_true_only(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A_1) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
? [A] :
! [B] :
( ( g_false_only(B,A)
& g_true_only(B,B) )
| ( g_false_only(B,B)
& g_true_only(B,A) ) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_8,plain,
! [B] :
( ( g_false_only(B,B)
& g_true_only(B,skolemFOFtoCNF_A_3) )
| ( g_false_only(B,skolemFOFtoCNF_A_3)
& g_true_only(B,B) ) ),
inference(skolemize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [B] :
( ( g_false_only(B,B)
& g_true_only(B,skolemFOFtoCNF_A_3) )
| ( g_false_only(B,skolemFOFtoCNF_A_3)
& g_true_only(B,B) ) ),
inference(specialize,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [B] :
( ( g_false_only(B,B)
| g_false_only(B,skolemFOFtoCNF_A_3) )
& ( g_false_only(B,B)
| g_true_only(B,B) )
& ( g_false_only(B,skolemFOFtoCNF_A_3)
| g_true_only(B,skolemFOFtoCNF_A_3) )
& ( g_true_only(B,B)
| g_true_only(B,skolemFOFtoCNF_A_3) ) ),
inference(clausify,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [B] :
( g_false_only(B,B)
| g_true_only(B,B) ),
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [B] :
( ~ g_false_only(B,skolemFOFtoCNF_A_1)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_13,plain,
! [B] :
( ~ g_false_only(B,skolemFOFtoCNF_A_1)
| ( ~ g_both(B,B)
& ~ g_false_only(B,B) ) ),
inference(specialize,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [B] :
( ( ~ g_both(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A_1) )
& ( ~ g_false_only(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A_1) ) ),
inference(clausify,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
! [B] :
( ~ g_false_only(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A_1) ),
inference(conjunct,[],[normalize_1_14]) ).
cnf(refute_1_0,plain,
( ~ g_true_only(B,B)
| ~ g_true_only(B,skolemFOFtoCNF_A_1) ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_1,plain,
~ g_true_only(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_1),
inference(subst,[],[refute_1_0:[bind(B,$fot(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_1_2,plain,
( g_false_only(B,B)
| g_true_only(B,B) ),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_3,plain,
( g_false_only(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_1)
| g_true_only(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_1) ),
inference(subst,[],[refute_1_2:[bind(B,$fot(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_1_4,plain,
g_false_only(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_1),
inference(resolve,[$cnf( g_true_only(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_1) )],[refute_1_3,refute_1_1]) ).
cnf(refute_1_5,plain,
( ~ g_false_only(B,B)
| ~ g_false_only(B,skolemFOFtoCNF_A_1) ),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_6,plain,
~ g_false_only(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_1),
inference(subst,[],[refute_1_5:[bind(B,$fot(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_1_7,plain,
$false,
inference(resolve,[$cnf( g_false_only(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_1) )],[refute_1_4,refute_1_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 12:14:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46
% 0.18/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.47
%------------------------------------------------------------------------------