TSTP Solution File: SET663+3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 03:36:26 EDT 2022
% Result : Theorem 0.18s 0.39s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 19
% Syntax : Number of formulae : 163 ( 42 unt; 0 def)
% Number of atoms : 483 ( 75 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 568 ( 248 ~; 231 |; 43 &)
% ( 12 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 250 ( 26 sgn 113 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p1,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( subset(B,empty_set)
=> B = empty_set ) ) ).
fof(p2,axiom,
! [B] :
( ilf_type(B,binary_relation_type)
=> ( ( domain_of(B) = empty_set
| range_of(B) = empty_set )
=> B = empty_set ) ) ).
fof(p3,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( subset(domain_of(D),B)
& subset(range_of(D),C) ) ) ) ) ).
fof(p6,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ) ).
fof(p13,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(B,binary_relation_type)
<=> ( relation_like(B)
& ilf_type(B,set_type) ) ) ) ).
fof(p15,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ilf_type(C,subset_type(B))
<=> ilf_type(C,member_type(power_set(B))) ) ) ) ).
fof(p22,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( member(B,power_set(C))
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ) ).
fof(p23,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ~ empty(power_set(B))
& ilf_type(power_set(B),set_type) ) ) ).
fof(p24,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ( ~ empty(C)
& ilf_type(C,set_type) )
=> ( ilf_type(B,member_type(C))
<=> member(B,C) ) ) ) ).
fof(p28,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> relation_like(D) ) ) ) ).
fof(p33,axiom,
! [B] : ilf_type(B,set_type) ).
fof(prove_relset_1_26,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( ilf_type(D,relation_type(empty_set,C))
=> D = empty_set ) ) ) ) ).
fof(subgoal_0,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ( ilf_type(D,relation_type(B,C))
& ilf_type(D,relation_type(empty_set,C)) )
=> D = empty_set ) ) ),
inference(strip,[],[prove_relset_1_26]) ).
fof(negate_0_0,plain,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ( ilf_type(D,relation_type(B,C))
& ilf_type(D,relation_type(empty_set,C)) )
=> D = empty_set ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| B = empty_set
| ( domain_of(B) != empty_set
& range_of(B) != empty_set ) ),
inference(canonicalize,[],[p2]) ).
fof(normalize_0_1,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| B = empty_set
| ( domain_of(B) != empty_set
& range_of(B) != empty_set ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [B] :
( ( domain_of(B) != empty_set
| ~ ilf_type(B,binary_relation_type)
| B = empty_set )
& ( range_of(B) != empty_set
| ~ ilf_type(B,binary_relation_type)
| B = empty_set ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [B] :
( domain_of(B) != empty_set
| ~ ilf_type(B,binary_relation_type)
| B = empty_set ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ~ ilf_type(B,binary_relation_type)
<=> ( ~ ilf_type(B,set_type)
| ~ relation_like(B) ) ) ),
inference(canonicalize,[],[p13]) ).
fof(normalize_0_5,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ~ ilf_type(B,binary_relation_type)
<=> ( ~ ilf_type(B,set_type)
| ~ relation_like(B) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B] :
( ( ~ ilf_type(B,binary_relation_type)
| ~ ilf_type(B,set_type)
| relation_like(B) )
& ( ~ ilf_type(B,set_type)
| ~ relation_like(B)
| ilf_type(B,binary_relation_type) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ~ relation_like(B)
| ilf_type(B,binary_relation_type) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [B] : ilf_type(B,set_type),
inference(canonicalize,[],[p33]) ).
fof(normalize_0_9,plain,
! [B] : ilf_type(B,set_type),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| relation_like(D) ) ) ),
inference(canonicalize,[],[p28]) ).
fof(normalize_0_11,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| relation_like(D) ) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [B,C,D] :
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,subset_type(cross_product(B,C)))
| relation_like(D) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ~ ilf_type(C,member_type(power_set(B)))
<=> ~ ilf_type(C,subset_type(B)) ) ) ),
inference(canonicalize,[],[p15]) ).
fof(normalize_0_14,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ~ ilf_type(C,member_type(power_set(B)))
<=> ~ ilf_type(C,subset_type(B)) ) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [B,C] :
( ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,member_type(power_set(B)))
| ~ ilf_type(C,set_type)
| ilf_type(C,subset_type(B)) )
& ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(C,subset_type(B))
| ilf_type(C,member_type(power_set(B))) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [B,C] :
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,member_type(power_set(B)))
| ~ ilf_type(C,set_type)
| ilf_type(C,subset_type(B)) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ~ member(B,power_set(C))
<=> ? [D] :
( ~ member(D,C)
& ilf_type(D,set_type)
& member(D,B) ) ) ) ),
inference(canonicalize,[],[p22]) ).
fof(normalize_0_18,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ~ member(B,power_set(C))
<=> ? [D] :
( ~ member(D,C)
& ilf_type(D,set_type)
& member(D,B) ) ) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [B,C,D] :
( ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ member(skolemFOFtoCNF_D_3(B,C),C)
| member(B,power_set(C)) )
& ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ilf_type(skolemFOFtoCNF_D_3(B,C),set_type)
| member(B,power_set(C)) )
& ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| member(B,power_set(C))
| member(skolemFOFtoCNF_D_3(B,C),B) )
& ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,set_type)
| ~ member(B,power_set(C))
| ~ member(D,B)
| member(D,C) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [B,C] :
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ member(skolemFOFtoCNF_D_3(B,C),C)
| member(B,power_set(C)) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [B,C] :
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| member(B,power_set(C))
| member(skolemFOFtoCNF_D_3(B,C),B) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_22,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| empty(C)
| ( ~ ilf_type(B,member_type(C))
<=> ~ member(B,C) ) ) ),
inference(canonicalize,[],[p24]) ).
fof(normalize_0_23,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| empty(C)
| ( ~ ilf_type(B,member_type(C))
<=> ~ member(B,C) ) ) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [B,C] :
( ( ~ ilf_type(B,member_type(C))
| ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| empty(C)
| member(B,C) )
& ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ member(B,C)
| empty(C)
| ilf_type(B,member_type(C)) ) ),
inference(clausify,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [B,C] :
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ member(B,C)
| empty(C)
| ilf_type(B,member_type(C)) ),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ~ empty(power_set(B))
& ilf_type(power_set(B),set_type) ) ),
inference(canonicalize,[],[p23]) ).
fof(normalize_0_27,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ~ empty(power_set(B))
& ilf_type(power_set(B),set_type) ) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [B] :
( ( ~ empty(power_set(B))
| ~ ilf_type(B,set_type) )
& ( ~ ilf_type(B,set_type)
| ilf_type(power_set(B),set_type) ) ),
inference(clausify,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [B] :
( ~ empty(power_set(B))
| ~ ilf_type(B,set_type) ),
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ~ subset(B,empty_set)
| B = empty_set ),
inference(canonicalize,[],[p1]) ).
fof(normalize_0_31,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ~ subset(B,empty_set)
| B = empty_set ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,relation_type(B,C))
| ( subset(domain_of(D),B)
& subset(range_of(D),C) ) ) ) ),
inference(canonicalize,[],[p3]) ).
fof(normalize_0_33,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,relation_type(B,C))
| ( subset(domain_of(D),B)
& subset(range_of(D),C) ) ) ) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [B,C,D] :
( ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,relation_type(B,C))
| subset(domain_of(D),B) )
& ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,relation_type(B,C))
| subset(range_of(D),C) ) ),
inference(clausify,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [B,C,D] :
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,relation_type(B,C))
| subset(domain_of(D),B) ),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ! [D] :
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
inference(canonicalize,[],[p6]) ).
fof(normalize_0_37,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ! [D] :
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [B,C,D,E] :
( ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) )
& ( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [B,C,D] :
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) ),
inference(conjunct,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
? [B] :
( ilf_type(B,set_type)
& ? [C] :
( ilf_type(C,set_type)
& ? [D] :
( D != empty_set
& ilf_type(D,relation_type(B,C))
& ilf_type(D,relation_type(empty_set,C)) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_41,plain,
? [B,C] :
( ilf_type(C,set_type)
& ? [D] :
( D != empty_set
& ilf_type(D,relation_type(B,C))
& ilf_type(D,relation_type(empty_set,C)) ) ),
inference(simplify,[],[normalize_0_40,normalize_0_9]) ).
fof(normalize_0_42,plain,
( ilf_type(skolemFOFtoCNF_C_4,set_type)
& ? [D] :
( D != empty_set
& ilf_type(D,relation_type(empty_set,skolemFOFtoCNF_C_4))
& ilf_type(D,relation_type(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ) ),
inference(skolemize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
? [D] :
( D != empty_set
& ilf_type(D,relation_type(empty_set,skolemFOFtoCNF_C_4))
& ilf_type(D,relation_type(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ),
inference(conjunct,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
( skolemFOFtoCNF_D_5 != empty_set
& ilf_type(skolemFOFtoCNF_D_5,relation_type(empty_set,skolemFOFtoCNF_C_4))
& ilf_type(skolemFOFtoCNF_D_5,relation_type(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ),
inference(skolemize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
ilf_type(skolemFOFtoCNF_D_5,relation_type(empty_set,skolemFOFtoCNF_C_4)),
inference(conjunct,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [B,C,E] :
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ),
inference(conjunct,[],[normalize_0_38]) ).
fof(normalize_0_47,plain,
skolemFOFtoCNF_D_5 != empty_set,
inference(conjunct,[],[normalize_0_44]) ).
cnf(refute_0_0,plain,
( domain_of(B) != empty_set
| ~ ilf_type(B,binary_relation_type)
| B = empty_set ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( domain_of(skolemFOFtoCNF_D_5) != empty_set
| ~ ilf_type(skolemFOFtoCNF_D_5,binary_relation_type)
| skolemFOFtoCNF_D_5 = empty_set ),
inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_D_5))]]) ).
cnf(refute_0_2,plain,
( ~ ilf_type(B,set_type)
| ~ relation_like(B)
| ilf_type(B,binary_relation_type) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
ilf_type(B,set_type),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( ~ relation_like(B)
| ilf_type(B,binary_relation_type) ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
( ~ relation_like(skolemFOFtoCNF_D_5)
| ilf_type(skolemFOFtoCNF_D_5,binary_relation_type) ),
inference(subst,[],[refute_0_4:[bind(B,$fot(skolemFOFtoCNF_D_5))]]) ).
cnf(refute_0_6,plain,
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,subset_type(cross_product(B,C)))
| relation_like(D) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ ilf_type(C,set_type)
| ~ ilf_type(D,subset_type(cross_product(B,C)))
| relation_like(D) ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
ilf_type(C,set_type),
inference(subst,[],[refute_0_3:[bind(B,$fot(C))]]) ).
cnf(refute_0_9,plain,
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| relation_like(D) ),
inference(resolve,[$cnf( ilf_type(C,set_type) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
( ~ ilf_type(D,subset_type(cross_product(empty_set,C)))
| relation_like(D) ),
inference(subst,[],[refute_0_9:[bind(B,$fot(empty_set))]]) ).
cnf(refute_0_11,plain,
( domain_of(cross_product(X_80,X_81)) != empty_set
| ~ ilf_type(cross_product(X_80,X_81),binary_relation_type)
| cross_product(X_80,X_81) = empty_set ),
inference(subst,[],[refute_0_0:[bind(B,$fot(cross_product(X_80,X_81)))]]) ).
cnf(refute_0_12,plain,
( ~ relation_like(cross_product(X_78,X_79))
| ilf_type(cross_product(X_78,X_79),binary_relation_type) ),
inference(subst,[],[refute_0_4:[bind(B,$fot(cross_product(X_78,X_79)))]]) ).
cnf(refute_0_13,plain,
( ~ ilf_type(cross_product(B,C),subset_type(cross_product(B,C)))
| relation_like(cross_product(B,C)) ),
inference(subst,[],[refute_0_9:[bind(D,$fot(cross_product(B,C)))]]) ).
cnf(refute_0_14,plain,
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,member_type(power_set(B)))
| ~ ilf_type(C,set_type)
| ilf_type(C,subset_type(B)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_15,plain,
( ~ ilf_type(C,member_type(power_set(B)))
| ~ ilf_type(C,set_type)
| ilf_type(C,subset_type(B)) ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ ilf_type(C,member_type(power_set(B)))
| ilf_type(C,subset_type(B)) ),
inference(resolve,[$cnf( ilf_type(C,set_type) )],[refute_0_8,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ ilf_type(X_76,member_type(power_set(X_76)))
| ilf_type(X_76,subset_type(X_76)) ),
inference(subst,[],[refute_0_16:[bind(B,$fot(X_76)),bind(C,$fot(X_76))]]) ).
cnf(refute_0_18,plain,
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ member(skolemFOFtoCNF_D_3(B,C),C)
| member(B,power_set(C)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_19,plain,
( ~ ilf_type(C,set_type)
| ~ member(skolemFOFtoCNF_D_3(B,C),C)
| member(B,power_set(C)) ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ member(skolemFOFtoCNF_D_3(B,C),C)
| member(B,power_set(C)) ),
inference(resolve,[$cnf( ilf_type(C,set_type) )],[refute_0_8,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ member(skolemFOFtoCNF_D_3(X_33,X_33),X_33)
| member(X_33,power_set(X_33)) ),
inference(subst,[],[refute_0_20:[bind(B,$fot(X_33)),bind(C,$fot(X_33))]]) ).
cnf(refute_0_22,plain,
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| member(B,power_set(C))
| member(skolemFOFtoCNF_D_3(B,C),B) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_23,plain,
( ~ ilf_type(C,set_type)
| member(B,power_set(C))
| member(skolemFOFtoCNF_D_3(B,C),B) ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_22]) ).
cnf(refute_0_24,plain,
( member(B,power_set(C))
| member(skolemFOFtoCNF_D_3(B,C),B) ),
inference(resolve,[$cnf( ilf_type(C,set_type) )],[refute_0_8,refute_0_23]) ).
cnf(refute_0_25,plain,
( member(X_33,power_set(X_33))
| member(skolemFOFtoCNF_D_3(X_33,X_33),X_33) ),
inference(subst,[],[refute_0_24:[bind(B,$fot(X_33)),bind(C,$fot(X_33))]]) ).
cnf(refute_0_26,plain,
member(X_33,power_set(X_33)),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_3(X_33,X_33),X_33) )],[refute_0_25,refute_0_21]) ).
cnf(refute_0_27,plain,
member(X_72,power_set(X_72)),
inference(subst,[],[refute_0_26:[bind(X_33,$fot(X_72))]]) ).
cnf(refute_0_28,plain,
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ member(B,C)
| empty(C)
| ilf_type(B,member_type(C)) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_29,plain,
( ~ ilf_type(C,set_type)
| ~ member(B,C)
| empty(C)
| ilf_type(B,member_type(C)) ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ member(B,C)
| empty(C)
| ilf_type(B,member_type(C)) ),
inference(resolve,[$cnf( ilf_type(C,set_type) )],[refute_0_8,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ member(X_72,power_set(X_72))
| empty(power_set(X_72))
| ilf_type(X_72,member_type(power_set(X_72))) ),
inference(subst,[],[refute_0_30:[bind(B,$fot(X_72)),bind(C,$fot(power_set(X_72)))]]) ).
cnf(refute_0_32,plain,
( empty(power_set(X_72))
| ilf_type(X_72,member_type(power_set(X_72))) ),
inference(resolve,[$cnf( member(X_72,power_set(X_72)) )],[refute_0_27,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ empty(power_set(B))
| ~ ilf_type(B,set_type) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_34,plain,
~ empty(power_set(B)),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_33]) ).
cnf(refute_0_35,plain,
~ empty(power_set(X_72)),
inference(subst,[],[refute_0_34:[bind(B,$fot(X_72))]]) ).
cnf(refute_0_36,plain,
ilf_type(X_72,member_type(power_set(X_72))),
inference(resolve,[$cnf( empty(power_set(X_72)) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
ilf_type(X_76,member_type(power_set(X_76))),
inference(subst,[],[refute_0_36:[bind(X_72,$fot(X_76))]]) ).
cnf(refute_0_38,plain,
ilf_type(X_76,subset_type(X_76)),
inference(resolve,[$cnf( ilf_type(X_76,member_type(power_set(X_76))) )],[refute_0_37,refute_0_17]) ).
cnf(refute_0_39,plain,
ilf_type(cross_product(B,C),subset_type(cross_product(B,C))),
inference(subst,[],[refute_0_38:[bind(X_76,$fot(cross_product(B,C)))]]) ).
cnf(refute_0_40,plain,
relation_like(cross_product(B,C)),
inference(resolve,[$cnf( ilf_type(cross_product(B,C),subset_type(cross_product(B,C))) )],[refute_0_39,refute_0_13]) ).
cnf(refute_0_41,plain,
relation_like(cross_product(X_78,X_79)),
inference(subst,[],[refute_0_40:[bind(B,$fot(X_78)),bind(C,$fot(X_79))]]) ).
cnf(refute_0_42,plain,
ilf_type(cross_product(X_78,X_79),binary_relation_type),
inference(resolve,[$cnf( relation_like(cross_product(X_78,X_79)) )],[refute_0_41,refute_0_12]) ).
cnf(refute_0_43,plain,
ilf_type(cross_product(X_80,X_81),binary_relation_type),
inference(subst,[],[refute_0_42:[bind(X_78,$fot(X_80)),bind(X_79,$fot(X_81))]]) ).
cnf(refute_0_44,plain,
( domain_of(cross_product(X_80,X_81)) != empty_set
| cross_product(X_80,X_81) = empty_set ),
inference(resolve,[$cnf( ilf_type(cross_product(X_80,X_81),binary_relation_type) )],[refute_0_43,refute_0_11]) ).
cnf(refute_0_45,plain,
( domain_of(cross_product(empty_set,X_81)) != empty_set
| cross_product(empty_set,X_81) = empty_set ),
inference(subst,[],[refute_0_44:[bind(X_80,$fot(empty_set))]]) ).
cnf(refute_0_46,plain,
( ~ ilf_type(B,set_type)
| ~ subset(B,empty_set)
| B = empty_set ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_47,plain,
( ~ subset(B,empty_set)
| B = empty_set ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ subset(domain_of(cross_product(empty_set,X_120)),empty_set)
| domain_of(cross_product(empty_set,X_120)) = empty_set ),
inference(subst,[],[refute_0_47:[bind(B,$fot(domain_of(cross_product(empty_set,X_120))))]]) ).
cnf(refute_0_49,plain,
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,relation_type(B,C))
| subset(domain_of(D),B) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_50,plain,
( ~ ilf_type(C,set_type)
| ~ ilf_type(D,relation_type(B,C))
| subset(domain_of(D),B) ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ ilf_type(D,relation_type(B,C))
| subset(domain_of(D),B) ),
inference(resolve,[$cnf( ilf_type(C,set_type) )],[refute_0_8,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ ilf_type(cross_product(X_114,X_115),relation_type(X_114,X_115))
| subset(domain_of(cross_product(X_114,X_115)),X_114) ),
inference(subst,[],[refute_0_51:[bind(B,$fot(X_114)),bind(C,$fot(X_115)),bind(D,$fot(cross_product(X_114,X_115)))]]) ).
cnf(refute_0_53,plain,
ilf_type(cross_product(X_97,X_98),subset_type(cross_product(X_97,X_98))),
inference(subst,[],[refute_0_38:[bind(X_76,$fot(cross_product(X_97,X_98)))]]) ).
cnf(refute_0_54,plain,
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_55,plain,
( ~ ilf_type(C,set_type)
| ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) ),
inference(resolve,[$cnf( ilf_type(C,set_type) )],[refute_0_8,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ ilf_type(cross_product(X_97,X_98),subset_type(cross_product(X_97,X_98)))
| ilf_type(cross_product(X_97,X_98),relation_type(X_97,X_98)) ),
inference(subst,[],[refute_0_56:[bind(B,$fot(X_97)),bind(C,$fot(X_98)),bind(D,$fot(cross_product(X_97,X_98)))]]) ).
cnf(refute_0_58,plain,
ilf_type(cross_product(X_97,X_98),relation_type(X_97,X_98)),
inference(resolve,[$cnf( ilf_type(cross_product(X_97,X_98),subset_type(cross_product(X_97,X_98))) )],[refute_0_53,refute_0_57]) ).
cnf(refute_0_59,plain,
ilf_type(cross_product(X_114,X_115),relation_type(X_114,X_115)),
inference(subst,[],[refute_0_58:[bind(X_97,$fot(X_114)),bind(X_98,$fot(X_115))]]) ).
cnf(refute_0_60,plain,
subset(domain_of(cross_product(X_114,X_115)),X_114),
inference(resolve,[$cnf( ilf_type(cross_product(X_114,X_115),relation_type(X_114,X_115)) )],[refute_0_59,refute_0_52]) ).
cnf(refute_0_61,plain,
subset(domain_of(cross_product(empty_set,X_120)),empty_set),
inference(subst,[],[refute_0_60:[bind(X_114,$fot(empty_set)),bind(X_115,$fot(X_120))]]) ).
cnf(refute_0_62,plain,
domain_of(cross_product(empty_set,X_120)) = empty_set,
inference(resolve,[$cnf( subset(domain_of(cross_product(empty_set,X_120)),empty_set) )],[refute_0_61,refute_0_48]) ).
cnf(refute_0_63,plain,
domain_of(cross_product(empty_set,X_81)) = empty_set,
inference(subst,[],[refute_0_62:[bind(X_120,$fot(X_81))]]) ).
cnf(refute_0_64,plain,
( domain_of(cross_product(empty_set,X_81)) != empty_set
| empty_set != empty_set
| domain_of(cross_product(empty_set,X_81)) = empty_set ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_of(cross_product(empty_set,X_81)),empty_set) ),[0],$fot(empty_set)]]) ).
cnf(refute_0_65,plain,
( empty_set != empty_set
| domain_of(cross_product(empty_set,X_81)) = empty_set ),
inference(resolve,[$cnf( $equal(domain_of(cross_product(empty_set,X_81)),empty_set) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( empty_set != empty_set
| cross_product(empty_set,X_81) = empty_set ),
inference(resolve,[$cnf( $equal(domain_of(cross_product(empty_set,X_81)),empty_set) )],[refute_0_65,refute_0_45]) ).
cnf(refute_0_67,plain,
empty_set = empty_set,
introduced(tautology,[refl,[$fot(empty_set)]]) ).
cnf(refute_0_68,plain,
cross_product(empty_set,X_81) = empty_set,
inference(resolve,[$cnf( $equal(empty_set,empty_set) )],[refute_0_67,refute_0_66]) ).
cnf(refute_0_69,plain,
cross_product(empty_set,C) = empty_set,
inference(subst,[],[refute_0_68:[bind(X_81,$fot(C))]]) ).
cnf(refute_0_70,plain,
( cross_product(empty_set,C) != empty_set
| ~ ilf_type(D,subset_type(empty_set))
| ilf_type(D,subset_type(cross_product(empty_set,C))) ),
introduced(tautology,[equality,[$cnf( ~ ilf_type(D,subset_type(cross_product(empty_set,C))) ),[1,0],$fot(empty_set)]]) ).
cnf(refute_0_71,plain,
( ~ ilf_type(D,subset_type(empty_set))
| ilf_type(D,subset_type(cross_product(empty_set,C))) ),
inference(resolve,[$cnf( $equal(cross_product(empty_set,C),empty_set) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ ilf_type(D,subset_type(empty_set))
| relation_like(D) ),
inference(resolve,[$cnf( ilf_type(D,subset_type(cross_product(empty_set,C))) )],[refute_0_71,refute_0_10]) ).
cnf(refute_0_73,plain,
( ~ ilf_type(skolemFOFtoCNF_D_5,subset_type(empty_set))
| relation_like(skolemFOFtoCNF_D_5) ),
inference(subst,[],[refute_0_72:[bind(D,$fot(skolemFOFtoCNF_D_5))]]) ).
cnf(refute_0_74,plain,
ilf_type(skolemFOFtoCNF_D_5,relation_type(empty_set,skolemFOFtoCNF_C_4)),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_75,plain,
( ~ ilf_type(B,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_76,plain,
( ~ ilf_type(C,set_type)
| ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ),
inference(resolve,[$cnf( ilf_type(B,set_type) )],[refute_0_3,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ),
inference(resolve,[$cnf( ilf_type(C,set_type) )],[refute_0_8,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ ilf_type(skolemFOFtoCNF_D_5,relation_type(empty_set,skolemFOFtoCNF_C_4))
| ilf_type(skolemFOFtoCNF_D_5,subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4))) ),
inference(subst,[],[refute_0_77:[bind(B,$fot(empty_set)),bind(C,$fot(skolemFOFtoCNF_C_4)),bind(E,$fot(skolemFOFtoCNF_D_5))]]) ).
cnf(refute_0_79,plain,
ilf_type(skolemFOFtoCNF_D_5,subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4))),
inference(resolve,[$cnf( ilf_type(skolemFOFtoCNF_D_5,relation_type(empty_set,skolemFOFtoCNF_C_4)) )],[refute_0_74,refute_0_78]) ).
cnf(refute_0_80,plain,
cross_product(empty_set,skolemFOFtoCNF_C_4) = empty_set,
inference(subst,[],[refute_0_68:[bind(X_81,$fot(skolemFOFtoCNF_C_4))]]) ).
cnf(refute_0_81,plain,
subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)) = subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)),
introduced(tautology,[refl,[$fot(subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)))]]) ).
cnf(refute_0_82,plain,
( cross_product(empty_set,skolemFOFtoCNF_C_4) != empty_set
| subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)) != subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4))
| subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)) = subset_type(empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)),subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4))) ),[1,0],$fot(empty_set)]]) ).
cnf(refute_0_83,plain,
( cross_product(empty_set,skolemFOFtoCNF_C_4) != empty_set
| subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)) = subset_type(empty_set) ),
inference(resolve,[$cnf( $equal(subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)),subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)) = subset_type(empty_set),
inference(resolve,[$cnf( $equal(cross_product(empty_set,skolemFOFtoCNF_C_4),empty_set) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
( subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)) != subset_type(empty_set)
| ~ ilf_type(skolemFOFtoCNF_D_5,subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)))
| ilf_type(skolemFOFtoCNF_D_5,subset_type(empty_set)) ),
introduced(tautology,[equality,[$cnf( ilf_type(skolemFOFtoCNF_D_5,subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4))) ),[1],$fot(subset_type(empty_set))]]) ).
cnf(refute_0_86,plain,
( ~ ilf_type(skolemFOFtoCNF_D_5,subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)))
| ilf_type(skolemFOFtoCNF_D_5,subset_type(empty_set)) ),
inference(resolve,[$cnf( $equal(subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4)),subset_type(empty_set)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
ilf_type(skolemFOFtoCNF_D_5,subset_type(empty_set)),
inference(resolve,[$cnf( ilf_type(skolemFOFtoCNF_D_5,subset_type(cross_product(empty_set,skolemFOFtoCNF_C_4))) )],[refute_0_79,refute_0_86]) ).
cnf(refute_0_88,plain,
relation_like(skolemFOFtoCNF_D_5),
inference(resolve,[$cnf( ilf_type(skolemFOFtoCNF_D_5,subset_type(empty_set)) )],[refute_0_87,refute_0_73]) ).
cnf(refute_0_89,plain,
ilf_type(skolemFOFtoCNF_D_5,binary_relation_type),
inference(resolve,[$cnf( relation_like(skolemFOFtoCNF_D_5) )],[refute_0_88,refute_0_5]) ).
cnf(refute_0_90,plain,
( domain_of(skolemFOFtoCNF_D_5) != empty_set
| skolemFOFtoCNF_D_5 = empty_set ),
inference(resolve,[$cnf( ilf_type(skolemFOFtoCNF_D_5,binary_relation_type) )],[refute_0_89,refute_0_1]) ).
cnf(refute_0_91,plain,
( ~ subset(domain_of(skolemFOFtoCNF_D_5),empty_set)
| domain_of(skolemFOFtoCNF_D_5) = empty_set ),
inference(subst,[],[refute_0_47:[bind(B,$fot(domain_of(skolemFOFtoCNF_D_5)))]]) ).
cnf(refute_0_92,plain,
( ~ ilf_type(skolemFOFtoCNF_D_5,relation_type(empty_set,skolemFOFtoCNF_C_4))
| subset(domain_of(skolemFOFtoCNF_D_5),empty_set) ),
inference(subst,[],[refute_0_51:[bind(B,$fot(empty_set)),bind(C,$fot(skolemFOFtoCNF_C_4)),bind(D,$fot(skolemFOFtoCNF_D_5))]]) ).
cnf(refute_0_93,plain,
subset(domain_of(skolemFOFtoCNF_D_5),empty_set),
inference(resolve,[$cnf( ilf_type(skolemFOFtoCNF_D_5,relation_type(empty_set,skolemFOFtoCNF_C_4)) )],[refute_0_74,refute_0_92]) ).
cnf(refute_0_94,plain,
domain_of(skolemFOFtoCNF_D_5) = empty_set,
inference(resolve,[$cnf( subset(domain_of(skolemFOFtoCNF_D_5),empty_set) )],[refute_0_93,refute_0_91]) ).
cnf(refute_0_95,plain,
( domain_of(skolemFOFtoCNF_D_5) != empty_set
| empty_set != empty_set
| domain_of(skolemFOFtoCNF_D_5) = empty_set ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_of(skolemFOFtoCNF_D_5),empty_set) ),[0],$fot(empty_set)]]) ).
cnf(refute_0_96,plain,
( empty_set != empty_set
| domain_of(skolemFOFtoCNF_D_5) = empty_set ),
inference(resolve,[$cnf( $equal(domain_of(skolemFOFtoCNF_D_5),empty_set) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( empty_set != empty_set
| skolemFOFtoCNF_D_5 = empty_set ),
inference(resolve,[$cnf( $equal(domain_of(skolemFOFtoCNF_D_5),empty_set) )],[refute_0_96,refute_0_90]) ).
cnf(refute_0_98,plain,
skolemFOFtoCNF_D_5 = empty_set,
inference(resolve,[$cnf( $equal(empty_set,empty_set) )],[refute_0_67,refute_0_97]) ).
cnf(refute_0_99,plain,
skolemFOFtoCNF_D_5 != empty_set,
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_100,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D_5,empty_set) )],[refute_0_98,refute_0_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 10:07:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39
% 0.18/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.41
%------------------------------------------------------------------------------