%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET958+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 03:38:37 EDT 2022
% Result : Theorem 1.15s 1.34s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 5 unt; 0 def)
% Number of atoms : 123 ( 27 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 121 ( 47 ~; 50 |; 14 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 48 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ) ).
fof(t111_zfmisc_1,conjecture,
! [A,B] :
( ( ! [C] :
~ ( in(C,A)
& ! [D,E] : C != ordered_pair(D,E) )
& ! [C,D] :
( in(ordered_pair(C,D),A)
=> in(ordered_pair(C,D),B) ) )
=> subset(A,B) ) ).
fof(subgoal_0,plain,
! [A,B] :
( ( ! [C] :
~ ( in(C,A)
& ! [D,E] : C != ordered_pair(D,E) )
& ! [C,D] :
( in(ordered_pair(C,D),A)
=> in(ordered_pair(C,D),B) ) )
=> subset(A,B) ),
inference(strip,[],[t111_zfmisc_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( ( ! [C] :
~ ( in(C,A)
& ! [D,E] : C != ordered_pair(D,E) )
& ! [C,D] :
( in(ordered_pair(C,D),A)
=> in(ordered_pair(C,D),B) ) )
=> subset(A,B) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] :
( ~ subset(A,B)
<=> ? [C] :
( ~ in(C,B)
& in(C,A) ) ),
inference(canonicalize,[],[d3_tarski]) ).
fof(normalize_0_1,plain,
! [A,B] :
( ~ subset(A,B)
<=> ? [C] :
( ~ in(C,B)
& in(C,A) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B,C] :
( ( ~ in(skolemFOFtoCNF_C(A,B),B)
| subset(A,B) )
& ( in(skolemFOFtoCNF_C(A,B),A)
| subset(A,B) )
& ( ~ in(C,A)
| ~ subset(A,B)
| in(C,B) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( ~ in(skolemFOFtoCNF_C(A,B),B)
| subset(A,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B] :
( in(skolemFOFtoCNF_C(A,B),A)
| subset(A,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
? [A,B] :
( ~ subset(A,B)
& ! [C] :
( ~ in(C,A)
| ? [D,E] : C = ordered_pair(D,E) )
& ! [C,D] :
( ~ in(ordered_pair(C,D),A)
| in(ordered_pair(C,D),B) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_6,plain,
( ~ subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
& ! [C] :
( ~ in(C,skolemFOFtoCNF_A_2)
| ? [D,E] : C = ordered_pair(D,E) )
& ! [C,D] :
( ~ in(ordered_pair(C,D),skolemFOFtoCNF_A_2)
| in(ordered_pair(C,D),skolemFOFtoCNF_B) ) ),
inference(skolemize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [C,D] :
( ~ in(ordered_pair(C,D),skolemFOFtoCNF_A_2)
| in(ordered_pair(C,D),skolemFOFtoCNF_B) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [C,D] :
( ~ in(ordered_pair(C,D),skolemFOFtoCNF_A_2)
| in(ordered_pair(C,D),skolemFOFtoCNF_B) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [C] :
( ~ in(C,skolemFOFtoCNF_A_2)
| ? [D,E] : C = ordered_pair(D,E) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_10,plain,
! [C] :
( ~ in(C,skolemFOFtoCNF_A_2)
| ? [D,E] : C = ordered_pair(D,E) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [C] :
( ~ in(C,skolemFOFtoCNF_A_2)
| C = ordered_pair(skolemFOFtoCNF_D(C),skolemFOFtoCNF_E(C)) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
~ subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
( ~ in(skolemFOFtoCNF_C(A,B),B)
| subset(A,B) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_2,plain,
( in(skolemFOFtoCNF_C(A,B),A)
| subset(A,B) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_79),skolemFOFtoCNF_A_2)
| subset(skolemFOFtoCNF_A_2,X_79) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(B,$fot(X_79))]]) ).
cnf(refute_0_4,plain,
( ~ in(ordered_pair(C,D),skolemFOFtoCNF_A_2)
| in(ordered_pair(C,D),skolemFOFtoCNF_B) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))),skolemFOFtoCNF_A_2)
| in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_4:[bind(C,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)))),bind(D,$fot(skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))))]]) ).
cnf(refute_0_6,plain,
( ~ in(C,skolemFOFtoCNF_A_2)
| C = ordered_pair(skolemFOFtoCNF_D(C),skolemFOFtoCNF_E(C)) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_7,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24),skolemFOFtoCNF_A_2)
| skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24) = ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24))) ),
inference(subst,[],[refute_0_6:[bind(C,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24)))]]) ).
cnf(refute_0_8,plain,
( in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24),skolemFOFtoCNF_A_2)
| subset(skolemFOFtoCNF_A_2,X_24) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(B,$fot(X_24))]]) ).
cnf(refute_0_9,plain,
( skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24) = ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24)))
| subset(skolemFOFtoCNF_A_2,X_24) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_24),skolemFOFtoCNF_A_2) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
( skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29) = ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)))
| subset(skolemFOFtoCNF_A_2,X_29) ),
inference(subst,[],[refute_0_9:[bind(X_24,$fot(X_29))]]) ).
cnf(refute_0_11,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29) != ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)))
| ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))),bind(Y,$fot(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)))))]]) ).
cnf(refute_0_15,plain,
( ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)
| subset(skolemFOFtoCNF_A_2,X_29) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29),ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)))) )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
( ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))) != skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)
| ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29),skolemFOFtoCNF_A_2)
| in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))),skolemFOFtoCNF_A_2) ),
introduced(tautology,[equality,[$cnf( ~ in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))),skolemFOFtoCNF_A_2) ),[0],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))]]) ).
cnf(refute_0_17,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29),skolemFOFtoCNF_A_2)
| in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))),skolemFOFtoCNF_A_2)
| subset(skolemFOFtoCNF_A_2,X_29) ),
inference(resolve,[$cnf( $equal(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))),skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29),skolemFOFtoCNF_A_2)
| in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A_2,X_29) ),
inference(resolve,[$cnf( in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_29))),skolemFOFtoCNF_A_2) )],[refute_0_17,refute_0_5]) ).
cnf(refute_0_19,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_79),skolemFOFtoCNF_A_2)
| in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_79)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_79))),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A_2,X_79) ),
inference(subst,[],[refute_0_18:[bind(X_29,$fot(X_79))]]) ).
cnf(refute_0_20,plain,
( in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_79)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_79))),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A_2,X_79) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_79),skolemFOFtoCNF_A_2) )],[refute_0_3,refute_0_19]) ).
cnf(refute_0_21,plain,
( in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A_2,X_80) ),
inference(subst,[],[refute_0_20:[bind(X_79,$fot(X_80))]]) ).
cnf(refute_0_22,plain,
( skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80) = ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)))
| subset(skolemFOFtoCNF_A_2,X_80) ),
inference(subst,[],[refute_0_9:[bind(X_24,$fot(X_80))]]) ).
cnf(refute_0_23,plain,
( skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80) != ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)))
| ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))),bind(Y,$fot(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)))))]]) ).
cnf(refute_0_24,plain,
( ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)
| subset(skolemFOFtoCNF_A_2,X_80) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80),ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))) != skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)
| ~ in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))),skolemFOFtoCNF_B)
| in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80),skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))),skolemFOFtoCNF_B) ),[0],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))]]) ).
cnf(refute_0_26,plain,
( ~ in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))),skolemFOFtoCNF_B)
| in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A_2,X_80) ),
inference(resolve,[$cnf( $equal(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))),skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A_2,X_80) ),
inference(resolve,[$cnf( in(ordered_pair(skolemFOFtoCNF_D(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80)),skolemFOFtoCNF_E(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,X_80))),skolemFOFtoCNF_B) )],[refute_0_21,refute_0_26]) ).
cnf(refute_0_28,plain,
( in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_27:[bind(X_80,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_29,plain,
subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_28,refute_0_1]) ).
cnf(refute_0_30,plain,
~ subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) )],[refute_0_29,refute_0_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET958+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 08:27:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.15/1.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.15/1.34
% 1.15/1.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.15/1.34
%------------------------------------------------------------------------------