TSTP Solution File: SET588+3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 03:35:40 EDT 2022
% Result : Theorem 34.39s 34.57s
% Output : CNFRefutation 34.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 77 ( 10 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 152 ( 59 ~; 75 |; 7 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 175 ( 4 sgn 47 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(difference_defn,axiom,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( member(D,B)
& ~ member(D,C) ) ) ).
fof(subset_defn,axiom,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ) ).
fof(prove_difference_subset1,conjecture,
! [B,C,D] :
( subset(B,C)
=> subset(difference(B,D),difference(C,D)) ) ).
fof(subgoal_0,plain,
! [B,C,D] :
( subset(B,C)
=> subset(difference(B,D),difference(C,D)) ),
inference(strip,[],[prove_difference_subset1]) ).
fof(negate_0_0,plain,
~ ! [B,C,D] :
( subset(B,C)
=> subset(difference(B,D),difference(C,D)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [B,C] :
( subset(B,C)
& ? [D] : ~ subset(difference(B,D),difference(C,D)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
& ? [D] : ~ subset(difference(skolemFOFtoCNF_B,D),difference(skolemFOFtoCNF_C,D)) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [D] : ~ subset(difference(skolemFOFtoCNF_B,D),difference(skolemFOFtoCNF_C,D)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
~ subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(canonicalize,[],[difference_defn]) ).
fof(normalize_0_5,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B,C,D] :
( ( ~ member(D,C)
| ~ member(D,difference(B,C)) )
& ( ~ member(D,difference(B,C))
| member(D,B) )
& ( ~ member(D,B)
| member(D,C)
| member(D,difference(B,C)) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [B,C,D] :
( ~ member(D,C)
| ~ member(D,difference(B,C)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(canonicalize,[],[subset_defn]) ).
fof(normalize_0_9,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] : member(D,difference(B,C)) ),
inference(simplify,[],[normalize_0_8,normalize_0_5]) ).
fof(normalize_0_10,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] : member(D,difference(B,C)) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [B,C,D] :
( ( ~ member(D,difference(B,C))
| ~ subset(B,C) )
& ( member(skolemFOFtoCNF_D(B,C),difference(B,C))
| subset(B,C) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [B,C] :
( member(skolemFOFtoCNF_D(B,C),difference(B,C))
| subset(B,C) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
| member(D,B) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_14,plain,
! [B,C,D] :
( ~ member(D,B)
| member(D,C)
| member(D,difference(B,C)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_15,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
| ~ subset(B,C) ),
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
~ subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ member(D,C)
| ~ member(D,difference(B,C)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_2,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,C),X_12),C)
| ~ member(skolemFOFtoCNF_D(difference(B,C),X_12),difference(B,C)) ),
inference(subst,[],[refute_0_1:[bind(D,$fot(skolemFOFtoCNF_D(difference(B,C),X_12)))]]) ).
cnf(refute_0_3,plain,
( member(skolemFOFtoCNF_D(B,C),difference(B,C))
| subset(B,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_4,plain,
( member(skolemFOFtoCNF_D(X_8,X_9),difference(X_8,X_9))
| subset(X_8,X_9) ),
inference(subst,[],[refute_0_3:[bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_5,plain,
( ~ member(D,difference(B,C))
| member(D,B) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_6,plain,
( ~ member(skolemFOFtoCNF_D(X_8,X_9),difference(X_8,X_9))
| member(skolemFOFtoCNF_D(X_8,X_9),X_8) ),
inference(subst,[],[refute_0_5:[bind(B,$fot(X_8)),bind(C,$fot(X_9)),bind(D,$fot(skolemFOFtoCNF_D(X_8,X_9)))]]) ).
cnf(refute_0_7,plain,
( member(skolemFOFtoCNF_D(X_8,X_9),X_8)
| subset(X_8,X_9) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_8,X_9),difference(X_8,X_9)) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( member(skolemFOFtoCNF_D(difference(B,C),X_12),difference(B,C))
| subset(difference(B,C),X_12) ),
inference(subst,[],[refute_0_7:[bind(X_8,$fot(difference(B,C))),bind(X_9,$fot(X_12))]]) ).
cnf(refute_0_9,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,C),X_12),C)
| subset(difference(B,C),X_12) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(B,C),X_12),difference(B,C)) )],[refute_0_8,refute_0_2]) ).
cnf(refute_0_10,plain,
( ~ member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_22933),difference(skolemFOFtoCNF_C,X_22933)),X_22933)
| subset(difference(skolemFOFtoCNF_B,X_22933),difference(skolemFOFtoCNF_C,X_22933)) ),
inference(subst,[],[refute_0_9:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(X_22933)),bind(X_12,$fot(difference(skolemFOFtoCNF_C,X_22933)))]]) ).
cnf(refute_0_11,plain,
( member(skolemFOFtoCNF_D(X_3,X_4),difference(X_3,X_4))
| subset(X_3,X_4) ),
inference(subst,[],[refute_0_3:[bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_12,plain,
( ~ member(skolemFOFtoCNF_D(X_3,X_4),X_4)
| ~ member(skolemFOFtoCNF_D(X_3,X_4),difference(X_3,X_4)) ),
inference(subst,[],[refute_0_1:[bind(B,$fot(X_3)),bind(C,$fot(X_4)),bind(D,$fot(skolemFOFtoCNF_D(X_3,X_4)))]]) ).
cnf(refute_0_13,plain,
( ~ member(skolemFOFtoCNF_D(X_3,X_4),X_4)
| subset(X_3,X_4) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_3,X_4),difference(X_3,X_4)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_22931),difference(skolemFOFtoCNF_C,X_22930)),difference(skolemFOFtoCNF_C,X_22930))
| subset(difference(skolemFOFtoCNF_B,X_22931),difference(skolemFOFtoCNF_C,X_22930)) ),
inference(subst,[],[refute_0_13:[bind(X_3,$fot(difference(skolemFOFtoCNF_B,X_22931))),bind(X_4,$fot(difference(skolemFOFtoCNF_C,X_22930)))]]) ).
cnf(refute_0_15,plain,
( ~ member(D,B)
| member(D,C)
| member(D,difference(B,C)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_16,plain,
( ~ member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1483),X_1484),skolemFOFtoCNF_C)
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1483),X_1484),C)
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1483),X_1484),difference(skolemFOFtoCNF_C,C)) ),
inference(subst,[],[refute_0_15:[bind(B,$fot(skolemFOFtoCNF_C)),bind(D,$fot(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1483),X_1484)))]]) ).
cnf(refute_0_17,plain,
( ~ member(skolemFOFtoCNF_D(X_211,X_212),difference(X_211,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))
| ~ member(skolemFOFtoCNF_D(X_211,X_212),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_1:[bind(B,$fot(X_211)),bind(C,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),bind(D,$fot(skolemFOFtoCNF_D(X_211,X_212)))]]) ).
cnf(refute_0_18,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_19,plain,
( ~ member(D,difference(B,C))
| ~ subset(B,C) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_20,plain,
( ~ member(skolemFOFtoCNF_D(X_133,difference(X_133,difference(B,C))),difference(B,C))
| ~ subset(B,C) ),
inference(subst,[],[refute_0_19:[bind(D,$fot(skolemFOFtoCNF_D(X_133,difference(X_133,difference(B,C)))))]]) ).
cnf(refute_0_21,plain,
( ~ member(skolemFOFtoCNF_D(X_130,difference(X_130,X_131)),difference(X_130,X_131))
| subset(X_130,difference(X_130,X_131)) ),
inference(subst,[],[refute_0_13:[bind(X_3,$fot(X_130)),bind(X_4,$fot(difference(X_130,X_131)))]]) ).
cnf(refute_0_22,plain,
( member(skolemFOFtoCNF_D(X_69,X_9),X_69)
| subset(X_69,X_9) ),
inference(subst,[],[refute_0_7:[bind(X_8,$fot(X_69))]]) ).
cnf(refute_0_23,plain,
( ~ member(skolemFOFtoCNF_D(X_69,X_9),X_69)
| member(skolemFOFtoCNF_D(X_69,X_9),X_70)
| member(skolemFOFtoCNF_D(X_69,X_9),difference(X_69,X_70)) ),
inference(subst,[],[refute_0_15:[bind(B,$fot(X_69)),bind(C,$fot(X_70)),bind(D,$fot(skolemFOFtoCNF_D(X_69,X_9)))]]) ).
cnf(refute_0_24,plain,
( member(skolemFOFtoCNF_D(X_69,X_9),X_70)
| member(skolemFOFtoCNF_D(X_69,X_9),difference(X_69,X_70))
| subset(X_69,X_9) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_69,X_9),X_69) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( member(skolemFOFtoCNF_D(X_130,difference(X_130,X_131)),X_131)
| member(skolemFOFtoCNF_D(X_130,difference(X_130,X_131)),difference(X_130,X_131))
| subset(X_130,difference(X_130,X_131)) ),
inference(subst,[],[refute_0_24:[bind(X_69,$fot(X_130)),bind(X_70,$fot(X_131)),bind(X_9,$fot(difference(X_130,X_131)))]]) ).
cnf(refute_0_26,plain,
( member(skolemFOFtoCNF_D(X_130,difference(X_130,X_131)),X_131)
| subset(X_130,difference(X_130,X_131)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_130,difference(X_130,X_131)),difference(X_130,X_131)) )],[refute_0_25,refute_0_21]) ).
cnf(refute_0_27,plain,
( member(skolemFOFtoCNF_D(X_133,difference(X_133,difference(B,C))),difference(B,C))
| subset(X_133,difference(X_133,difference(B,C))) ),
inference(subst,[],[refute_0_26:[bind(X_130,$fot(X_133)),bind(X_131,$fot(difference(B,C)))]]) ).
cnf(refute_0_28,plain,
( ~ subset(B,C)
| subset(X_133,difference(X_133,difference(B,C))) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_133,difference(X_133,difference(B,C))),difference(B,C)) )],[refute_0_27,refute_0_20]) ).
cnf(refute_0_29,plain,
( ~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| subset(X_146,difference(X_146,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_28:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_C)),bind(X_133,$fot(X_146))]]) ).
cnf(refute_0_30,plain,
subset(X_146,difference(X_146,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C) )],[refute_0_18,refute_0_29]) ).
cnf(refute_0_31,plain,
subset(X_203,difference(X_203,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),
inference(subst,[],[refute_0_30:[bind(X_146,$fot(X_203))]]) ).
cnf(refute_0_32,plain,
( ~ member(skolemFOFtoCNF_D(X_130,X_132),difference(X_130,X_131))
| ~ subset(X_130,X_131) ),
inference(subst,[],[refute_0_19:[bind(B,$fot(X_130)),bind(C,$fot(X_131)),bind(D,$fot(skolemFOFtoCNF_D(X_130,X_132)))]]) ).
cnf(refute_0_33,plain,
( member(skolemFOFtoCNF_D(X_130,X_132),X_131)
| member(skolemFOFtoCNF_D(X_130,X_132),difference(X_130,X_131))
| subset(X_130,X_132) ),
inference(subst,[],[refute_0_24:[bind(X_69,$fot(X_130)),bind(X_70,$fot(X_131)),bind(X_9,$fot(X_132))]]) ).
cnf(refute_0_34,plain,
( ~ subset(X_130,X_131)
| member(skolemFOFtoCNF_D(X_130,X_132),X_131)
| subset(X_130,X_132) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_130,X_132),difference(X_130,X_131)) )],[refute_0_33,refute_0_32]) ).
cnf(refute_0_35,plain,
( ~ subset(X_203,difference(X_203,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))
| member(skolemFOFtoCNF_D(X_203,X_205),difference(X_203,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))
| subset(X_203,X_205) ),
inference(subst,[],[refute_0_34:[bind(X_130,$fot(X_203)),bind(X_131,$fot(difference(X_203,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))),bind(X_132,$fot(X_205))]]) ).
cnf(refute_0_36,plain,
( member(skolemFOFtoCNF_D(X_203,X_205),difference(X_203,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))
| subset(X_203,X_205) ),
inference(resolve,[$cnf( subset(X_203,difference(X_203,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) )],[refute_0_31,refute_0_35]) ).
cnf(refute_0_37,plain,
( member(skolemFOFtoCNF_D(X_211,X_212),difference(X_211,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))
| subset(X_211,X_212) ),
inference(subst,[],[refute_0_36:[bind(X_203,$fot(X_211)),bind(X_205,$fot(X_212))]]) ).
cnf(refute_0_38,plain,
( ~ member(skolemFOFtoCNF_D(X_211,X_212),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| subset(X_211,X_212) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_211,X_212),difference(X_211,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) )],[refute_0_37,refute_0_17]) ).
cnf(refute_0_39,plain,
( ~ member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1479),X_1480),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| subset(difference(skolemFOFtoCNF_B,X_1479),X_1480) ),
inference(subst,[],[refute_0_38:[bind(X_211,$fot(difference(skolemFOFtoCNF_B,X_1479))),bind(X_212,$fot(X_1480))]]) ).
cnf(refute_0_40,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,C),X_12),difference(B,C))
| member(skolemFOFtoCNF_D(difference(B,C),X_12),B) ),
inference(subst,[],[refute_0_5:[bind(D,$fot(skolemFOFtoCNF_D(difference(B,C),X_12)))]]) ).
cnf(refute_0_41,plain,
( member(skolemFOFtoCNF_D(difference(B,C),X_12),B)
| subset(difference(B,C),X_12) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(B,C),X_12),difference(B,C)) )],[refute_0_8,refute_0_40]) ).
cnf(refute_0_42,plain,
( member(skolemFOFtoCNF_D(difference(X_69,C),X_12),X_69)
| subset(difference(X_69,C),X_12) ),
inference(subst,[],[refute_0_41:[bind(B,$fot(X_69))]]) ).
cnf(refute_0_43,plain,
( ~ member(skolemFOFtoCNF_D(difference(X_69,C),X_12),X_69)
| member(skolemFOFtoCNF_D(difference(X_69,C),X_12),X_70)
| member(skolemFOFtoCNF_D(difference(X_69,C),X_12),difference(X_69,X_70)) ),
inference(subst,[],[refute_0_15:[bind(B,$fot(X_69)),bind(C,$fot(X_70)),bind(D,$fot(skolemFOFtoCNF_D(difference(X_69,C),X_12)))]]) ).
cnf(refute_0_44,plain,
( member(skolemFOFtoCNF_D(difference(X_69,C),X_12),X_70)
| member(skolemFOFtoCNF_D(difference(X_69,C),X_12),difference(X_69,X_70))
| subset(difference(X_69,C),X_12) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(X_69,C),X_12),X_69) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1479),X_1480),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1479),X_1480),skolemFOFtoCNF_C)
| subset(difference(skolemFOFtoCNF_B,X_1479),X_1480) ),
inference(subst,[],[refute_0_44:[bind(C,$fot(X_1479)),bind(X_12,$fot(X_1480)),bind(X_69,$fot(skolemFOFtoCNF_B)),bind(X_70,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_46,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1479),X_1480),skolemFOFtoCNF_C)
| subset(difference(skolemFOFtoCNF_B,X_1479),X_1480) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1479),X_1480),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_45,refute_0_39]) ).
cnf(refute_0_47,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1483),X_1484),skolemFOFtoCNF_C)
| subset(difference(skolemFOFtoCNF_B,X_1483),X_1484) ),
inference(subst,[],[refute_0_46:[bind(X_1479,$fot(X_1483)),bind(X_1480,$fot(X_1484))]]) ).
cnf(refute_0_48,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1483),X_1484),C)
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1483),X_1484),difference(skolemFOFtoCNF_C,C))
| subset(difference(skolemFOFtoCNF_B,X_1483),X_1484) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_1483),X_1484),skolemFOFtoCNF_C) )],[refute_0_47,refute_0_16]) ).
cnf(refute_0_49,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_22931),difference(skolemFOFtoCNF_C,X_22930)),X_22930)
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_22931),difference(skolemFOFtoCNF_C,X_22930)),difference(skolemFOFtoCNF_C,X_22930))
| subset(difference(skolemFOFtoCNF_B,X_22931),difference(skolemFOFtoCNF_C,X_22930)) ),
inference(subst,[],[refute_0_48:[bind(C,$fot(X_22930)),bind(X_1483,$fot(X_22931)),bind(X_1484,$fot(difference(skolemFOFtoCNF_C,X_22930)))]]) ).
cnf(refute_0_50,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_22931),difference(skolemFOFtoCNF_C,X_22930)),X_22930)
| subset(difference(skolemFOFtoCNF_B,X_22931),difference(skolemFOFtoCNF_C,X_22930)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_22931),difference(skolemFOFtoCNF_C,X_22930)),difference(skolemFOFtoCNF_C,X_22930)) )],[refute_0_49,refute_0_14]) ).
cnf(refute_0_51,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_22933),difference(skolemFOFtoCNF_C,X_22933)),X_22933)
| subset(difference(skolemFOFtoCNF_B,X_22933),difference(skolemFOFtoCNF_C,X_22933)) ),
inference(subst,[],[refute_0_50:[bind(X_22930,$fot(X_22933)),bind(X_22931,$fot(X_22933))]]) ).
cnf(refute_0_52,plain,
subset(difference(skolemFOFtoCNF_B,X_22933),difference(skolemFOFtoCNF_C,X_22933)),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,X_22933),difference(skolemFOFtoCNF_C,X_22933)),X_22933) )],[refute_0_51,refute_0_10]) ).
cnf(refute_0_53,plain,
subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(subst,[],[refute_0_52:[bind(X_22933,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_54,plain,
$false,
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_53,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n014.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 : Sat Jul 9 21:01:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 34.39/34.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.39/34.57
% 34.39/34.57 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 34.39/34.57
%------------------------------------------------------------------------------