TSTP Solution File: SWV401+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 : Wed Jul 20 20:31:30 EDT 2022
% Result : Theorem 3.53s 3.74s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 26
% Syntax : Number of formulae : 139 ( 29 unt; 0 def)
% Number of atoms : 330 ( 130 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 313 ( 122 ~; 149 |; 25 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 267 ( 16 sgn 119 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(totality,axiom,
! [U,V] :
( less_than(U,V)
| less_than(V,U) ) ).
fof(stricly_smaller_definition,axiom,
! [U,V] :
( strictly_less_than(U,V)
<=> ( less_than(U,V)
& ~ less_than(V,U) ) ) ).
fof(ax23,axiom,
! [U,V,W,X,Y] :
( pair_in_list(insert_slb(U,pair(V,X)),W,Y)
<=> ( pair_in_list(U,W,Y)
| ( V = W
& X = Y ) ) ) ).
fof(ax29,axiom,
! [U,V,W,X] :
( strictly_less_than(X,W)
=> update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,W)) ) ).
fof(ax30,axiom,
! [U,V,W,X] :
( less_than(W,X)
=> update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)) ) ).
fof(l37_co,conjecture,
! [U] :
( ! [V,W,X] :
( ( pair_in_list(U,V,W)
& less_than(X,W) )
=> pair_in_list(update_slb(U,X),V,W) )
=> ! [Y,Z,X1,X2,X3] :
( ( pair_in_list(insert_slb(U,pair(X2,X3)),Y,Z)
& less_than(X1,Z) )
=> pair_in_list(update_slb(insert_slb(U,pair(X2,X3)),X1),Y,Z) ) ) ).
fof(subgoal_0,plain,
! [U] :
( ! [V,W,X] :
( ( pair_in_list(U,V,W)
& less_than(X,W) )
=> pair_in_list(update_slb(U,X),V,W) )
=> ! [Y,Z,X1,X2,X3] :
( ( pair_in_list(insert_slb(U,pair(X2,X3)),Y,Z)
& less_than(X1,Z) )
=> pair_in_list(update_slb(insert_slb(U,pair(X2,X3)),X1),Y,Z) ) ),
inference(strip,[],[l37_co]) ).
fof(negate_0_0,plain,
~ ! [U] :
( ! [V,W,X] :
( ( pair_in_list(U,V,W)
& less_than(X,W) )
=> pair_in_list(update_slb(U,X),V,W) )
=> ! [Y,Z,X1,X2,X3] :
( ( pair_in_list(insert_slb(U,pair(X2,X3)),Y,Z)
& less_than(X1,Z) )
=> pair_in_list(update_slb(insert_slb(U,pair(X2,X3)),X1),Y,Z) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U] :
( ? [X1,X2,X3,Y,Z] :
( ~ pair_in_list(update_slb(insert_slb(U,pair(X2,X3)),X1),Y,Z)
& less_than(X1,Z)
& pair_in_list(insert_slb(U,pair(X2,X3)),Y,Z) )
& ! [V,W,X] :
( ~ less_than(X,W)
| ~ pair_in_list(U,V,W)
| pair_in_list(update_slb(U,X),V,W) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [X1,X2,X3,Y,Z] :
( ~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(X2,X3)),X1),Y,Z)
& less_than(X1,Z)
& pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(X2,X3)),Y,Z) )
& ! [V,W,X] :
( ~ less_than(X,W)
| ~ pair_in_list(skolemFOFtoCNF_U,V,W)
| pair_in_list(update_slb(skolemFOFtoCNF_U,X),V,W) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [X1,X2,X3,Y,Z] :
( ~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(X2,X3)),X1),Y,Z)
& less_than(X1,Z)
& pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(X2,X3)),Y,Z) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
& less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_Z)
& pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [U,V,W,X,Y] :
( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
<=> ( ~ pair_in_list(U,W,Y)
& ( V != W
| X != Y ) ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_0_6,plain,
! [U,V,W,X,Y] :
( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
<=> ( ~ pair_in_list(U,W,Y)
& ( V != W
| X != Y ) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [U,V,W,X,Y] :
( ( ~ pair_in_list(U,W,Y)
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) )
& ( V != W
| X != Y
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) )
& ( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
| V = W
| pair_in_list(U,W,Y) )
& ( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
| X = Y
| pair_in_list(U,W,Y) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [U,V,W,X,Y] :
( ~ pair_in_list(U,W,Y)
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_Z),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
! [V,W,X] :
( ~ less_than(X,W)
| ~ pair_in_list(skolemFOFtoCNF_U,V,W)
| pair_in_list(update_slb(skolemFOFtoCNF_U,X),V,W) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
! [V,W,X] :
( ~ less_than(X,W)
| ~ pair_in_list(skolemFOFtoCNF_U,V,W)
| pair_in_list(update_slb(skolemFOFtoCNF_U,X),V,W) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_13,plain,
! [U,V,W,X,Y] :
( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
| V = W
| pair_in_list(U,W,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_14,plain,
! [U,V,W,X] :
( ~ less_than(W,X)
| update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)) ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_0_15,plain,
! [U,V,W,X] :
( ~ less_than(W,X)
| update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [U,V] :
( less_than(U,V)
| less_than(V,U) ),
inference(canonicalize,[],[totality]) ).
fof(normalize_0_17,plain,
! [U,V] :
( less_than(U,V)
| less_than(V,U) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [U,V] :
( ~ strictly_less_than(U,V)
<=> ( ~ less_than(U,V)
| less_than(V,U) ) ),
inference(canonicalize,[],[stricly_smaller_definition]) ).
fof(normalize_0_19,plain,
! [U,V] :
( ~ strictly_less_than(U,V)
<=> ( ~ less_than(U,V)
| less_than(V,U) ) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [U,V] :
( ( ~ less_than(V,U)
| ~ strictly_less_than(U,V) )
& ( ~ strictly_less_than(U,V)
| less_than(U,V) )
& ( ~ less_than(U,V)
| less_than(V,U)
| strictly_less_than(U,V) ) ),
inference(clausify,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [U,V] :
( ~ less_than(U,V)
| less_than(V,U)
| strictly_less_than(U,V) ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [U,V,W,X] :
( ~ strictly_less_than(X,W)
| update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,W)) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_0_23,plain,
! [U,V,W,X] :
( ~ strictly_less_than(X,W)
| update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,W)) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [U,V,W,X,Y] :
( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
| X = Y
| pair_in_list(U,W,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_25,plain,
! [U,V,W,X,Y] :
( V != W
| X != Y
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( ~ pair_in_list(U,W,Y)
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_2,plain,
( ~ pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_1:[bind(U,$fot(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1))),bind(W,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_3,plain,
less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_Z),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( ~ less_than(X,W)
| ~ pair_in_list(skolemFOFtoCNF_U,V,W)
| pair_in_list(update_slb(skolemFOFtoCNF_U,X),V,W) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_5,plain,
( ~ less_than(X,skolemFOFtoCNF_Z)
| ~ pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| pair_in_list(update_slb(skolemFOFtoCNF_U,X),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_4:[bind(V,$fot(skolemFOFtoCNF_Y)),bind(W,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_6,plain,
pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
| V = W
| pair_in_list(U,W,Y) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_8,plain,
( ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_7:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_X2)),bind(W,$fot(skolemFOFtoCNF_Y)),bind(X,$fot(skolemFOFtoCNF_X3)),bind(Y,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_9,plain,
( skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ less_than(X,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| pair_in_list(update_slb(skolemFOFtoCNF_U,X),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_9,refute_0_5]) ).
cnf(refute_0_11,plain,
( ~ less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_12,plain,
( skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_Z) )],[refute_0_3,refute_0_11]) ).
cnf(refute_0_13,plain,
( skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_12,refute_0_2]) ).
cnf(refute_0_14,plain,
( skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_13:[bind(V,$fot(skolemFOFtoCNF_X2)),bind(X,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_15,plain,
( ~ less_than(W,X)
| update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_16,plain,
( ~ less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_X3)
| update_slb(insert_slb(U,pair(V,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(U,skolemFOFtoCNF_X1),pair(V,skolemFOFtoCNF_X3)) ),
inference(subst,[],[refute_0_15:[bind(W,$fot(skolemFOFtoCNF_X1)),bind(X,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_17,plain,
( less_than(U,V)
| less_than(V,U) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_18,plain,
( less_than(X_27,X_28)
| less_than(X_28,X_27) ),
inference(subst,[],[refute_0_17:[bind(U,$fot(X_28)),bind(V,$fot(X_27))]]) ).
cnf(refute_0_19,plain,
( ~ less_than(U,V)
| less_than(V,U)
| strictly_less_than(U,V) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_20,plain,
( ~ less_than(X_27,X_28)
| less_than(X_28,X_27)
| strictly_less_than(X_27,X_28) ),
inference(subst,[],[refute_0_19:[bind(U,$fot(X_27)),bind(V,$fot(X_28))]]) ).
cnf(refute_0_21,plain,
( less_than(X_28,X_27)
| strictly_less_than(X_27,X_28) ),
inference(resolve,[$cnf( less_than(X_27,X_28) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
( less_than(X_132,X_133)
| strictly_less_than(X_133,X_132) ),
inference(subst,[],[refute_0_21:[bind(X_27,$fot(X_133)),bind(X_28,$fot(X_132))]]) ).
cnf(refute_0_23,plain,
( ~ strictly_less_than(X,W)
| update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,W)) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_24,plain,
( ~ strictly_less_than(X_133,X_132)
| update_slb(insert_slb(X_130,pair(X_131,X_133)),X_132) = insert_slb(update_slb(X_130,X_132),pair(X_131,X_132)) ),
inference(subst,[],[refute_0_23:[bind(U,$fot(X_130)),bind(V,$fot(X_131)),bind(W,$fot(X_132)),bind(X,$fot(X_133))]]) ).
cnf(refute_0_25,plain,
( less_than(X_132,X_133)
| update_slb(insert_slb(X_130,pair(X_131,X_133)),X_132) = insert_slb(update_slb(X_130,X_132),pair(X_131,X_132)) ),
inference(resolve,[$cnf( strictly_less_than(X_133,X_132) )],[refute_0_22,refute_0_24]) ).
cnf(refute_0_26,plain,
( less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_X3)
| update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_25:[bind(X_130,$fot(skolemFOFtoCNF_U)),bind(X_131,$fot(skolemFOFtoCNF_X2)),bind(X_132,$fot(skolemFOFtoCNF_X1)),bind(X_133,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_27,plain,
( update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) != insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1))
| ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
introduced(tautology,[equality,[$cnf( ~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),[0],$fot(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_28,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_X3)
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( $equal(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_X3) ),
inference(resolve,[$cnf( pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_28,refute_0_0]) ).
cnf(refute_0_30,plain,
( skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_13:[bind(V,$fot(skolemFOFtoCNF_X2)),bind(X,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_31,plain,
( less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_X3)
| skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y ),
inference(resolve,[$cnf( pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_30,refute_0_29]) ).
cnf(refute_0_32,plain,
( skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| update_slb(insert_slb(U,pair(V,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(U,skolemFOFtoCNF_X1),pair(V,skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_X3) )],[refute_0_31,refute_0_16]) ).
cnf(refute_0_33,plain,
( skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)) ),
inference(subst,[],[refute_0_32:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_34,plain,
( update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) != insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3))
| ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
introduced(tautology,[equality,[$cnf( ~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),[0],$fot(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_35,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( $equal(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y ),
inference(resolve,[$cnf( pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_35,refute_0_0]) ).
cnf(refute_0_37,plain,
skolemFOFtoCNF_X2 = skolemFOFtoCNF_Y,
inference(resolve,[$cnf( pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_14,refute_0_36]) ).
cnf(refute_0_38,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_39,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_40,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( skolemFOFtoCNF_X2 != skolemFOFtoCNF_Y
| skolemFOFtoCNF_Y = skolemFOFtoCNF_X2 ),
inference(subst,[],[refute_0_40:[bind(X0,$fot(skolemFOFtoCNF_X2)),bind(Y0,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_42,plain,
skolemFOFtoCNF_Y = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2,skolemFOFtoCNF_Y) )],[refute_0_37,refute_0_41]) ).
cnf(refute_0_43,plain,
( skolemFOFtoCNF_Y != skolemFOFtoCNF_X2
| ~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z)
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
introduced(tautology,[equality,[$cnf( ~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),[1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_44,plain,
( ~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z)
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X2) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z),
inference(resolve,[$cnf( pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_44,refute_0_0]) ).
cnf(refute_0_46,plain,
( ~ less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_Z)
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)) ),
inference(subst,[],[refute_0_15:[bind(U,$fot(X_32)),bind(V,$fot(X_33)),bind(W,$fot(skolemFOFtoCNF_X1)),bind(X,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_47,plain,
update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)),
inference(resolve,[$cnf( less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_Z) )],[refute_0_3,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
| X = Y
| pair_in_list(U,W,Y) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_49,plain,
( ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_48:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_X2)),bind(W,$fot(skolemFOFtoCNF_Y)),bind(X,$fot(skolemFOFtoCNF_X3)),bind(Y,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_50,plain,
( skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_6,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ less_than(X,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(update_slb(skolemFOFtoCNF_U,X),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_50,refute_0_5]) ).
cnf(refute_0_52,plain,
( ~ less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_53,plain,
( skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_Z) )],[refute_0_3,refute_0_52]) ).
cnf(refute_0_54,plain,
( skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( pair_in_list(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_53,refute_0_2]) ).
cnf(refute_0_55,plain,
( skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_54:[bind(V,$fot(skolemFOFtoCNF_X2)),bind(X,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_56,plain,
( less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_X3)
| skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z ),
inference(resolve,[$cnf( pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_55,refute_0_29]) ).
cnf(refute_0_57,plain,
( skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| update_slb(insert_slb(U,pair(V,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(U,skolemFOFtoCNF_X1),pair(V,skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( less_than(skolemFOFtoCNF_X1,skolemFOFtoCNF_X3) )],[refute_0_56,refute_0_16]) ).
cnf(refute_0_58,plain,
( skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)) ),
inference(subst,[],[refute_0_57:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_59,plain,
( update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) != insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3))
| ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z)
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
introduced(tautology,[equality,[$cnf( ~ pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),[0],$fot(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_60,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( $equal(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z ),
inference(resolve,[$cnf( pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) )],[refute_0_60,refute_0_45]) ).
cnf(refute_0_62,plain,
( skolemFOFtoCNF_Y != skolemFOFtoCNF_X2
| ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
introduced(tautology,[equality,[$cnf( pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) ),[1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_63,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X2) )],[refute_0_42,refute_0_62]) ).
cnf(refute_0_64,plain,
( skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(V,X)),skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) )],[refute_0_54,refute_0_63]) ).
cnf(refute_0_65,plain,
( skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_64:[bind(V,$fot(skolemFOFtoCNF_X2)),bind(X,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_66,plain,
skolemFOFtoCNF_X3 = skolemFOFtoCNF_Z,
inference(resolve,[$cnf( pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) )],[refute_0_65,refute_0_61]) ).
cnf(refute_0_67,plain,
( skolemFOFtoCNF_X3 != skolemFOFtoCNF_Z
| skolemFOFtoCNF_Z = skolemFOFtoCNF_X3 ),
inference(subst,[],[refute_0_40:[bind(X0,$fot(skolemFOFtoCNF_X3)),bind(Y0,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_68,plain,
skolemFOFtoCNF_Z = skolemFOFtoCNF_X3,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X3,skolemFOFtoCNF_Z) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
pair(X_33,skolemFOFtoCNF_Z) = pair(X_33,skolemFOFtoCNF_Z),
introduced(tautology,[refl,[$fot(pair(X_33,skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_70,plain,
( pair(X_33,skolemFOFtoCNF_Z) != pair(X_33,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_Z != skolemFOFtoCNF_X3
| pair(X_33,skolemFOFtoCNF_Z) = pair(X_33,skolemFOFtoCNF_X3) ),
introduced(tautology,[equality,[$cnf( $equal(pair(X_33,skolemFOFtoCNF_Z),pair(X_33,skolemFOFtoCNF_Z)) ),[1,1],$fot(skolemFOFtoCNF_X3)]]) ).
cnf(refute_0_71,plain,
( skolemFOFtoCNF_Z != skolemFOFtoCNF_X3
| pair(X_33,skolemFOFtoCNF_Z) = pair(X_33,skolemFOFtoCNF_X3) ),
inference(resolve,[$cnf( $equal(pair(X_33,skolemFOFtoCNF_Z),pair(X_33,skolemFOFtoCNF_Z)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
pair(X_33,skolemFOFtoCNF_Z) = pair(X_33,skolemFOFtoCNF_X3),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Z,skolemFOFtoCNF_X3) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)) = insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),
introduced(tautology,[refl,[$fot(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)))]]) ).
cnf(refute_0_74,plain,
( pair(X_33,skolemFOFtoCNF_Z) != pair(X_33,skolemFOFtoCNF_X3)
| insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)) != insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z))
| insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)) = insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)) ),
introduced(tautology,[equality,[$cnf( $equal(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z))) ),[1,1],$fot(pair(X_33,skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_75,plain,
( pair(X_33,skolemFOFtoCNF_Z) != pair(X_33,skolemFOFtoCNF_X3)
| insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)) = insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)) = insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(pair(X_33,skolemFOFtoCNF_Z),pair(X_33,skolemFOFtoCNF_X3)) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) = update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1),
introduced(tautology,[refl,[$fot(update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_78,plain,
( insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)) != insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3))
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) != update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1)
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) = update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1),update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1)) ),[1,0],$fot(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_79,plain,
( insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)) != insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3))
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) = update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1),update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) = update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3))) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
( update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) != insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) != update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1)
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)) ),
introduced(tautology,[equality,[$cnf( $equal(update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1),insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))) ),[0],$fot(update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_82,plain,
( update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) != insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)) ),
inference(resolve,[$cnf( $equal(update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1),update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)),
introduced(tautology,[refl,[$fot(insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)))]]) ).
cnf(refute_0_84,plain,
( pair(X_33,skolemFOFtoCNF_Z) != pair(X_33,skolemFOFtoCNF_X3)
| insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)) != insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))
| insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3)) ),
introduced(tautology,[equality,[$cnf( $equal(insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)),insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))) ),[1,1],$fot(pair(X_33,skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_85,plain,
( pair(X_33,skolemFOFtoCNF_Z) != pair(X_33,skolemFOFtoCNF_X3)
| insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)),insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(pair(X_33,skolemFOFtoCNF_Z),pair(X_33,skolemFOFtoCNF_X3)) )],[refute_0_72,refute_0_85]) ).
cnf(refute_0_87,plain,
( insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)) != insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3))
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) != insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3)) ),
introduced(tautology,[equality,[$cnf( $equal(update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))) ),[1],$fot(insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_88,plain,
( update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) != insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z)),insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1) != insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))
| update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))) )],[refute_0_82,refute_0_88]) ).
cnf(refute_0_90,plain,
update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(update_slb(insert_slb(X_32,pair(X_33,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X1),insert_slb(update_slb(X_32,skolemFOFtoCNF_X1),pair(X_33,skolemFOFtoCNF_Z))) )],[refute_0_47,refute_0_89]) ).
cnf(refute_0_91,plain,
update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1) = insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),
inference(subst,[],[refute_0_90:[bind(X_32,$fot(skolemFOFtoCNF_U)),bind(X_33,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_92,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z)
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( $equal(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3))) )],[refute_0_91,refute_0_59]) ).
cnf(refute_0_93,plain,
( skolemFOFtoCNF_Z != skolemFOFtoCNF_X3
| ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
introduced(tautology,[equality,[$cnf( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),[2],$fot(skolemFOFtoCNF_X3)]]) ).
cnf(refute_0_94,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)
| pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Z,skolemFOFtoCNF_X3) )],[refute_0_68,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)
| pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) )],[refute_0_94,refute_0_92]) ).
cnf(refute_0_96,plain,
~ pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_X3),
inference(resolve,[$cnf( pair_in_list(update_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1),skolemFOFtoCNF_X2,skolemFOFtoCNF_Z) )],[refute_0_95,refute_0_45]) ).
cnf(refute_0_97,plain,
( V != W
| X != Y
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_98,plain,
( W != W
| Y != Y
| pair_in_list(insert_slb(U,pair(W,Y)),W,Y) ),
inference(subst,[],[refute_0_97:[bind(V,$fot(W)),bind(X,$fot(Y))]]) ).
cnf(refute_0_99,plain,
W = W,
introduced(tautology,[refl,[$fot(W)]]) ).
cnf(refute_0_100,plain,
( Y != Y
| pair_in_list(insert_slb(U,pair(W,Y)),W,Y) ),
inference(resolve,[$cnf( $equal(W,W) )],[refute_0_99,refute_0_98]) ).
cnf(refute_0_101,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_102,plain,
pair_in_list(insert_slb(U,pair(W,Y)),W,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_101,refute_0_100]) ).
cnf(refute_0_103,plain,
pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_X3),
inference(subst,[],[refute_0_102:[bind(U,$fot(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1))),bind(W,$fot(skolemFOFtoCNF_X2)),bind(Y,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_104,plain,
$false,
inference(resolve,[$cnf( pair_in_list(insert_slb(update_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X1),pair(skolemFOFtoCNF_X2,skolemFOFtoCNF_X3)),skolemFOFtoCNF_X2,skolemFOFtoCNF_X3) )],[refute_0_103,refute_0_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 17:55:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.53/3.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.53/3.74
% 3.53/3.74 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.53/3.75
%------------------------------------------------------------------------------