%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU145+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 12:38:43 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 16
% Syntax : Number of formulae : 127 ( 17 unt; 0 def)
% Number of atoms : 326 ( 110 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 338 ( 139 ~; 158 |; 21 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 201 ( 2 sgn 73 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ) ).
fof(d1_tarski,axiom,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ) ).
fof(d3_tarski,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ) ).
fof(d4_xboole_0,axiom,
! [A,B,C] :
( C = set_difference(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ) ).
fof(l3_zfmisc_1,conjecture,
! [A,B,C] :
( subset(A,B)
=> ( in(C,A)
| subset(A,set_difference(B,singleton(C))) ) ) ).
fof(subgoal_0,plain,
! [A,B,C] :
( ( subset(A,B)
& ~ in(C,A) )
=> subset(A,set_difference(B,singleton(C))) ),
inference(strip,[],[l3_zfmisc_1]) ).
fof(negate_0_0,plain,
~ ! [A,B,C] :
( ( subset(A,B)
& ~ in(C,A) )
=> subset(A,set_difference(B,singleton(C))) ),
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_1(A,B),B)
| subset(A,B) )
& ( in(skolemFOFtoCNF_C_1(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_1(A,B),A)
| subset(A,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] :
( C != set_difference(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( ~ in(D,B)
& in(D,A) ) ) ),
inference(canonicalize,[],[d4_xboole_0]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( C != set_difference(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( ~ in(D,B)
& in(D,A) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ( C != set_difference(A,B)
| ~ in(D,B)
| ~ in(D,C) )
& ( C != set_difference(A,B)
| ~ in(D,C)
| in(D,A) )
& ( ~ in(skolemFOFtoCNF_D(A,B,C),B)
| C = set_difference(A,B)
| in(skolemFOFtoCNF_D(A,B,C),C) )
& ( C = set_difference(A,B)
| in(skolemFOFtoCNF_D(A,B,C),A)
| in(skolemFOFtoCNF_D(A,B,C),C) )
& ( C != set_difference(A,B)
| ~ in(D,A)
| in(D,B)
| in(D,C) )
& ( ~ in(skolemFOFtoCNF_D(A,B,C),A)
| ~ in(skolemFOFtoCNF_D(A,B,C),C)
| C = set_difference(A,B)
| in(skolemFOFtoCNF_D(A,B,C),B) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( C != set_difference(A,B)
| ~ in(D,B)
| ~ in(D,C) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C] :
( C = set_difference(A,B)
| in(skolemFOFtoCNF_D(A,B,C),A)
| in(skolemFOFtoCNF_D(A,B,C),C) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_9,plain,
? [A,B,C] :
( ~ in(C,A)
& ~ subset(A,set_difference(B,singleton(C)))
& subset(A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_10,plain,
( ~ in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_A)
& ~ subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2)))
& subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(skolemize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A,B,C] :
( ~ in(C,A)
| ~ subset(A,B)
| in(C,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_13,plain,
! [A,B] :
( ~ in(A,B)
| ~ in(B,A) ),
inference(canonicalize,[],[antisymmetry_r2_hidden]) ).
fof(normalize_0_14,plain,
! [A,B] :
( ~ in(A,B)
| ~ in(B,A) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B] :
( B != singleton(A)
<=> ? [C] :
( C != A
<=> in(C,B) ) ),
inference(canonicalize,[],[d1_tarski]) ).
fof(normalize_0_16,plain,
! [A,B] :
( B != singleton(A)
<=> ? [C] :
( C != A
<=> in(C,B) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C] :
( ( B != singleton(A)
| C != A
| in(C,B) )
& ( B != singleton(A)
| ~ in(C,B)
| C = A )
& ( skolemFOFtoCNF_C(A,B) != A
| ~ in(skolemFOFtoCNF_C(A,B),B)
| B = singleton(A) )
& ( B = singleton(A)
| skolemFOFtoCNF_C(A,B) = A
| in(skolemFOFtoCNF_C(A,B),B) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B,C] :
( B != singleton(A)
| ~ in(C,B)
| C = A ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C] :
( ~ in(skolemFOFtoCNF_D(A,B,C),A)
| ~ in(skolemFOFtoCNF_D(A,B,C),C)
| C = set_difference(A,B)
| in(skolemFOFtoCNF_D(A,B,C),B) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_20,plain,
~ subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_21,plain,
~ in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_22,plain,
! [A,B] :
( ~ in(skolemFOFtoCNF_C_1(A,B),B)
| subset(A,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_23,plain,
! [A,B,C,D] :
( C != set_difference(A,B)
| ~ in(D,A)
| in(D,B)
| in(D,C) ),
inference(conjunct,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
( in(skolemFOFtoCNF_C_1(A,B),A)
| subset(A,B) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),skolemFOFtoCNF_A)
| subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))))]]) ).
cnf(refute_0_2,plain,
( C != set_difference(A,B)
| ~ in(D,B)
| ~ in(D,C) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( set_difference(A,B) != set_difference(A,B)
| ~ in(D,B)
| ~ in(D,set_difference(A,B)) ),
inference(subst,[],[refute_0_2:[bind(C,$fot(set_difference(A,B)))]]) ).
cnf(refute_0_4,plain,
set_difference(A,B) = set_difference(A,B),
introduced(tautology,[refl,[$fot(set_difference(A,B))]]) ).
cnf(refute_0_5,plain,
( ~ in(D,B)
| ~ in(D,set_difference(A,B)) ),
inference(resolve,[$cnf( $equal(set_difference(A,B),set_difference(A,B)) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ in(D,set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2)))
| ~ in(D,singleton(skolemFOFtoCNF_C_2)) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(singleton(skolemFOFtoCNF_C_2)))]]) ).
cnf(refute_0_7,plain,
( C = set_difference(A,B)
| in(skolemFOFtoCNF_D(A,B,C),A)
| in(skolemFOFtoCNF_D(A,B,C),C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_8,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(X_167))
| in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(X_167),skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(singleton(X_167))),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_9,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,B)
| in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_10,plain,
subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_11,plain,
( ~ in(C,A)
| ~ subset(A,B)
| in(C,B) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_12,plain,
( ~ in(X_43,skolemFOFtoCNF_A)
| ~ subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| in(X_43,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(X_43))]]) ).
cnf(refute_0_13,plain,
( ~ in(X_43,skolemFOFtoCNF_A)
| in(X_43,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_13:[bind(X_43,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_15,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,B)
| in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A),skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ in(A,B)
| ~ in(B,A) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_17,plain,
( ~ in(X_22,skolemFOFtoCNF_D(X_22,X_21,X_22))
| ~ in(skolemFOFtoCNF_D(X_22,X_21,X_22),X_22) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_D(X_22,X_21,X_22))),bind(B,$fot(X_22))]]) ).
cnf(refute_0_18,plain,
( X_22 = set_difference(X_22,X_21)
| in(skolemFOFtoCNF_D(X_22,X_21,X_22),X_22) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_22)),bind(B,$fot(X_21)),bind(C,$fot(X_22))]]) ).
cnf(refute_0_19,plain,
( ~ in(X_22,skolemFOFtoCNF_D(X_22,X_21,X_22))
| X_22 = set_difference(X_22,X_21) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_D(X_22,X_21,X_22),X_22) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( ~ in(X_22,skolemFOFtoCNF_D(X_22,singleton(X_81),X_22))
| X_22 = set_difference(X_22,singleton(X_81)) ),
inference(subst,[],[refute_0_19:[bind(X_21,$fot(singleton(X_81)))]]) ).
cnf(refute_0_21,plain,
( B != singleton(A)
| ~ in(C,B)
| C = A ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_22,plain,
( singleton(A) != singleton(A)
| ~ in(C,singleton(A))
| C = A ),
inference(subst,[],[refute_0_21:[bind(B,$fot(singleton(A)))]]) ).
cnf(refute_0_23,plain,
singleton(A) = singleton(A),
introduced(tautology,[refl,[$fot(singleton(A))]]) ).
cnf(refute_0_24,plain,
( ~ in(C,singleton(A))
| C = A ),
inference(resolve,[$cnf( $equal(singleton(A),singleton(A)) )],[refute_0_23,refute_0_22]) ).
cnf(refute_0_25,plain,
( ~ in(skolemFOFtoCNF_D(X_79,singleton(A),X_79),singleton(A))
| skolemFOFtoCNF_D(X_79,singleton(A),X_79) = A ),
inference(subst,[],[refute_0_24:[bind(C,$fot(skolemFOFtoCNF_D(X_79,singleton(A),X_79)))]]) ).
cnf(refute_0_26,plain,
( X_77 = set_difference(X_77,X_76)
| in(skolemFOFtoCNF_D(X_77,X_76,X_77),X_77) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_77)),bind(B,$fot(X_76)),bind(C,$fot(X_77))]]) ).
cnf(refute_0_27,plain,
( ~ in(skolemFOFtoCNF_D(A,B,C),A)
| ~ in(skolemFOFtoCNF_D(A,B,C),C)
| C = set_difference(A,B)
| in(skolemFOFtoCNF_D(A,B,C),B) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_28,plain,
( ~ in(skolemFOFtoCNF_D(X_77,X_76,X_77),X_77)
| X_77 = set_difference(X_77,X_76)
| in(skolemFOFtoCNF_D(X_77,X_76,X_77),X_76) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_77)),bind(B,$fot(X_76)),bind(C,$fot(X_77))]]) ).
cnf(refute_0_29,plain,
( X_77 = set_difference(X_77,X_76)
| in(skolemFOFtoCNF_D(X_77,X_76,X_77),X_76) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_D(X_77,X_76,X_77),X_77) )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
( X_79 = set_difference(X_79,singleton(A))
| in(skolemFOFtoCNF_D(X_79,singleton(A),X_79),singleton(A)) ),
inference(subst,[],[refute_0_29:[bind(X_76,$fot(singleton(A))),bind(X_77,$fot(X_79))]]) ).
cnf(refute_0_31,plain,
( X_79 = set_difference(X_79,singleton(A))
| skolemFOFtoCNF_D(X_79,singleton(A),X_79) = A ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_D(X_79,singleton(A),X_79),singleton(A)) )],[refute_0_30,refute_0_25]) ).
cnf(refute_0_32,plain,
( X_22 = set_difference(X_22,singleton(X_81))
| skolemFOFtoCNF_D(X_22,singleton(X_81),X_22) = X_81 ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_81)),bind(X_79,$fot(X_22))]]) ).
cnf(refute_0_33,plain,
( skolemFOFtoCNF_D(X_22,singleton(X_81),X_22) != X_81
| ~ in(X_22,X_81)
| in(X_22,skolemFOFtoCNF_D(X_22,singleton(X_81),X_22)) ),
introduced(tautology,[equality,[$cnf( ~ in(X_22,skolemFOFtoCNF_D(X_22,singleton(X_81),X_22)) ),[1],$fot(X_81)]]) ).
cnf(refute_0_34,plain,
( ~ in(X_22,X_81)
| X_22 = set_difference(X_22,singleton(X_81))
| in(X_22,skolemFOFtoCNF_D(X_22,singleton(X_81),X_22)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D(X_22,singleton(X_81),X_22),X_81) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ in(X_22,X_81)
| X_22 = set_difference(X_22,singleton(X_81)) ),
inference(resolve,[$cnf( in(X_22,skolemFOFtoCNF_D(X_22,singleton(X_81),X_22)) )],[refute_0_34,refute_0_20]) ).
cnf(refute_0_36,plain,
( ~ in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A),skolemFOFtoCNF_B)
| skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A) = set_difference(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A),singleton(skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_35:[bind(X_22,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A))),bind(X_81,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_37,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,B)
| skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A) = set_difference(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A),singleton(skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,B,skolemFOFtoCNF_A),skolemFOFtoCNF_B) )],[refute_0_15,refute_0_36]) ).
cnf(refute_0_38,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(A))
| skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A) = set_difference(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A),singleton(skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_37:[bind(B,$fot(singleton(A)))]]) ).
cnf(refute_0_39,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(A))
| skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A) = A ),
inference(subst,[],[refute_0_31:[bind(X_79,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_40,plain,
( skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A) != A
| skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A) != set_difference(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A),singleton(skolemFOFtoCNF_B))
| skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A) = set_difference(A,singleton(skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A),set_difference(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A),singleton(skolemFOFtoCNF_B))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_41,plain,
( skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A) != set_difference(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A),singleton(skolemFOFtoCNF_B))
| skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(A))
| skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A) = set_difference(A,singleton(skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A),A) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(A))
| skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A) = set_difference(A,singleton(skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A),set_difference(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(A),skolemFOFtoCNF_A),singleton(skolemFOFtoCNF_B))) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(X_167))
| skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(X_167),skolemFOFtoCNF_A) = set_difference(X_167,singleton(skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_167))]]) ).
cnf(refute_0_44,plain,
( skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(X_167),skolemFOFtoCNF_A) != set_difference(X_167,singleton(skolemFOFtoCNF_B))
| ~ in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(X_167),skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| in(set_difference(X_167,singleton(skolemFOFtoCNF_B)),skolemFOFtoCNF_A) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(X_167),skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),[0],$fot(set_difference(X_167,singleton(skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_45,plain,
( ~ in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(X_167),skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(X_167))
| in(set_difference(X_167,singleton(skolemFOFtoCNF_B)),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(X_167),skolemFOFtoCNF_A),set_difference(X_167,singleton(skolemFOFtoCNF_B))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(X_167))
| in(set_difference(X_167,singleton(skolemFOFtoCNF_B)),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_D(skolemFOFtoCNF_A,singleton(X_167),skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_8,refute_0_45]) ).
cnf(refute_0_47,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2))
| in(set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_46:[bind(X_167,$fot(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_0_48,plain,
~ subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_49,plain,
( C = set_difference(C,singleton(X_81))
| in(skolemFOFtoCNF_D(C,singleton(X_81),C),C) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(C)),bind(B,$fot(singleton(X_81)))]]) ).
cnf(refute_0_50,plain,
( C = set_difference(C,singleton(X_81))
| skolemFOFtoCNF_D(C,singleton(X_81),C) = X_81 ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_81)),bind(X_79,$fot(C))]]) ).
cnf(refute_0_51,plain,
( skolemFOFtoCNF_D(C,singleton(X_81),C) != X_81
| ~ in(skolemFOFtoCNF_D(C,singleton(X_81),C),C)
| in(X_81,C) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_D(C,singleton(X_81),C),C) ),[0],$fot(X_81)]]) ).
cnf(refute_0_52,plain,
( ~ in(skolemFOFtoCNF_D(C,singleton(X_81),C),C)
| C = set_difference(C,singleton(X_81))
| in(X_81,C) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D(C,singleton(X_81),C),X_81) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( C = set_difference(C,singleton(X_81))
| in(X_81,C) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_D(C,singleton(X_81),C),C) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( skolemFOFtoCNF_B = set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))
| in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_53:[bind(C,$fot(skolemFOFtoCNF_B)),bind(X_81,$fot(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_0_55,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_56,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_57,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( skolemFOFtoCNF_B != set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))
| set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2)) = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_57:[bind(X,$fot(skolemFOFtoCNF_B)),bind(Y,$fot(set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))))]]) ).
cnf(refute_0_59,plain,
( set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2)) = skolemFOFtoCNF_B
| in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) )],[refute_0_54,refute_0_58]) ).
cnf(refute_0_60,plain,
( set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2)) != skolemFOFtoCNF_B
| ~ subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) ),
introduced(tautology,[equality,[$cnf( ~ subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) ),[1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_61,plain,
( ~ subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2)),skolemFOFtoCNF_B) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) )],[refute_0_61,refute_0_48]) ).
cnf(refute_0_63,plain,
in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B) )],[refute_0_10,refute_0_62]) ).
cnf(refute_0_64,plain,
( ~ in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B)
| skolemFOFtoCNF_C_2 = set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_35:[bind(X_22,$fot(skolemFOFtoCNF_C_2)),bind(X_81,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_65,plain,
skolemFOFtoCNF_C_2 = set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_B) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( skolemFOFtoCNF_C_2 != set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B))
| set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)) = skolemFOFtoCNF_C_2 ),
inference(subst,[],[refute_0_57:[bind(X,$fot(skolemFOFtoCNF_C_2)),bind(Y,$fot(set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_67,plain,
set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)) = skolemFOFtoCNF_C_2,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C_2,set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)) != skolemFOFtoCNF_C_2
| ~ in(set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)),skolemFOFtoCNF_A)
| in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_A) ),
introduced(tautology,[equality,[$cnf( in(set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)),skolemFOFtoCNF_A) ),[0],$fot(skolemFOFtoCNF_C_2)]]) ).
cnf(refute_0_69,plain,
( ~ in(set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)),skolemFOFtoCNF_A)
| in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)),skolemFOFtoCNF_C_2) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2))
| in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( in(set_difference(skolemFOFtoCNF_C_2,singleton(skolemFOFtoCNF_B)),skolemFOFtoCNF_A) )],[refute_0_47,refute_0_69]) ).
cnf(refute_0_71,plain,
~ in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_72,plain,
skolemFOFtoCNF_A = set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_2,skolemFOFtoCNF_A) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( skolemFOFtoCNF_A != set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2))
| set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2)) = skolemFOFtoCNF_A ),
inference(subst,[],[refute_0_57:[bind(X,$fot(skolemFOFtoCNF_A)),bind(Y,$fot(set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2))))]]) ).
cnf(refute_0_74,plain,
set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2)) = skolemFOFtoCNF_A,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
( set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2)) != skolemFOFtoCNF_A
| ~ in(D,skolemFOFtoCNF_A)
| in(D,set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2))) ),
introduced(tautology,[equality,[$cnf( ~ in(D,set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2))) ),[1],$fot(skolemFOFtoCNF_A)]]) ).
cnf(refute_0_76,plain,
( ~ in(D,skolemFOFtoCNF_A)
| in(D,set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2))) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2)),skolemFOFtoCNF_A) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ in(D,singleton(skolemFOFtoCNF_C_2))
| ~ in(D,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( in(D,set_difference(skolemFOFtoCNF_A,singleton(skolemFOFtoCNF_C_2))) )],[refute_0_76,refute_0_6]) ).
cnf(refute_0_78,plain,
( ~ in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),singleton(skolemFOFtoCNF_C_2))
| ~ in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_77:[bind(D,$fot(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2)))))]]) ).
cnf(refute_0_79,plain,
( ~ in(skolemFOFtoCNF_C_1(A,B),B)
| subset(A,B) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_80,plain,
( ~ in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,X_180)),set_difference(skolemFOFtoCNF_B,X_180))
| subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,X_180)) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(set_difference(skolemFOFtoCNF_B,X_180)))]]) ).
cnf(refute_0_81,plain,
( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),skolemFOFtoCNF_A)
| subset(skolemFOFtoCNF_A,B) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_82,plain,
( ~ in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),skolemFOFtoCNF_A)
| in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_13:[bind(X_43,$fot(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B)))]]) ).
cnf(refute_0_83,plain,
( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_A,B) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),skolemFOFtoCNF_A) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( C != set_difference(A,B)
| ~ in(D,A)
| in(D,B)
| in(D,C) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_85,plain,
( set_difference(A,B) != set_difference(A,B)
| ~ in(D,A)
| in(D,B)
| in(D,set_difference(A,B)) ),
inference(subst,[],[refute_0_84:[bind(C,$fot(set_difference(A,B)))]]) ).
cnf(refute_0_86,plain,
( ~ in(D,A)
| in(D,B)
| in(D,set_difference(A,B)) ),
inference(resolve,[$cnf( $equal(set_difference(A,B),set_difference(A,B)) )],[refute_0_4,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),skolemFOFtoCNF_B)
| in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),X_68)
| in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),set_difference(skolemFOFtoCNF_B,X_68)) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_B)),bind(B,$fot(X_68)),bind(D,$fot(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B)))]]) ).
cnf(refute_0_88,plain,
( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),X_68)
| in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),set_difference(skolemFOFtoCNF_B,X_68))
| subset(skolemFOFtoCNF_A,B) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,B),skolemFOFtoCNF_B) )],[refute_0_83,refute_0_87]) ).
cnf(refute_0_89,plain,
( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,X_180)),X_180)
| in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,X_180)),set_difference(skolemFOFtoCNF_B,X_180))
| subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,X_180)) ),
inference(subst,[],[refute_0_88:[bind(B,$fot(set_difference(skolemFOFtoCNF_B,X_180))),bind(X_68,$fot(X_180))]]) ).
cnf(refute_0_90,plain,
( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,X_180)),X_180)
| subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,X_180)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,X_180)),set_difference(skolemFOFtoCNF_B,X_180)) )],[refute_0_89,refute_0_80]) ).
cnf(refute_0_91,plain,
( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),singleton(skolemFOFtoCNF_C_2))
| subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) ),
inference(subst,[],[refute_0_90:[bind(X_180,$fot(singleton(skolemFOFtoCNF_C_2)))]]) ).
cnf(refute_0_92,plain,
( ~ in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),skolemFOFtoCNF_A)
| subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),singleton(skolemFOFtoCNF_C_2)) )],[refute_0_91,refute_0_78]) ).
cnf(refute_0_93,plain,
~ in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),skolemFOFtoCNF_A),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) )],[refute_0_92,refute_0_48]) ).
cnf(refute_0_94,plain,
subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_1(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))),skolemFOFtoCNF_A) )],[refute_0_1,refute_0_93]) ).
cnf(refute_0_95,plain,
$false,
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A,set_difference(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_C_2))) )],[refute_0_94,refute_0_48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU145+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 : n019.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
% 0.14/0.36 % DateTime : Sun Jun 19 08:04:09 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.55
% 0.21/0.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.56
%------------------------------------------------------------------------------