%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET686+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:10:27 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 35
% Syntax : Number of formulae : 159 ( 12 unt; 23 def)
% Number of atoms : 598 ( 27 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 744 ( 305 ~; 298 |; 64 &)
% ( 33 <=>; 43 =>; 0 <=; 1 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 24 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-4 aty)
% Number of variables : 243 ( 226 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,binary_relation_type)
=> ( member(C,inverse2(D,B))
<=> ? [E] :
( member(E,B)
& member(ordered_pair(C,E),D)
& ilf_type(E,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ! [F] :
( ilf_type(F,relation_type(B,C))
=> ( member(ordered_pair(D,E),F)
=> ( member(E,C)
& member(D,B) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ! [F] :
( ilf_type(F,set_type)
=> ( F = ordered_pair(D,E)
<=> F = unordered_pair(unordered_pair(D,E),singleton(D)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) )
& ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ( ilf_type(C,set_type)
& ~ empty(C) )
=> ( ilf_type(B,member_type(C))
<=> member(B,C) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] : ilf_type(C,set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(B,binary_relation_type)
<=> ( ilf_type(B,set_type)
& relation_like(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ! [E] :
( ilf_type(E,set_type)
=> inverse4(B,C,D,E) = inverse2(D,E) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ! [E] :
( ilf_type(E,set_type)
=> ilf_type(inverse4(B,C,D,E),subset_type(B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,conjecture,
! [B] :
( ( ilf_type(B,set_type)
& ~ empty(B) )
=> ! [C] :
( ( ilf_type(C,set_type)
& ~ empty(C) )
=> ! [D] :
( ( ilf_type(D,set_type)
& ~ empty(D) )
=> ! [E] :
( ilf_type(E,relation_type(B,D))
=> ! [F] :
( ilf_type(F,member_type(B))
=> ( member(F,inverse4(B,D,E,C))
<=> ? [G] :
( member(G,C)
& member(ordered_pair(F,G),E)
& ilf_type(G,member_type(D)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ ! [B] :
( ( ilf_type(B,set_type)
& ~ empty(B) )
=> ! [C] :
( ( ilf_type(C,set_type)
& ~ empty(C) )
=> ! [D] :
( ( ilf_type(D,set_type)
& ~ empty(D) )
=> ! [E] :
( ilf_type(E,relation_type(B,D))
=> ! [F] :
( ilf_type(F,member_type(B))
=> ( member(F,inverse4(B,D,E,C))
<=> ? [G] :
( member(G,C)
& member(ordered_pair(F,G),E)
& ilf_type(G,member_type(D)) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f30,plain,
! [B] :
( ! [C] :
( ! [D] :
( ( member(C,inverse2(D,B))
<=> ? [E] :
( member(E,B)
& member(ordered_pair(C,E),D)
& ilf_type(E,set_type) ) )
| ~ ilf_type(D,binary_relation_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
! [B] :
( ! [C] :
( ! [D] :
( ( ( ! [E] :
( ~ member(E,B)
| ~ member(ordered_pair(C,E),D)
| ~ ilf_type(E,set_type) )
| member(C,inverse2(D,B)) )
& ( ? [E] :
( member(E,B)
& member(ordered_pair(C,E),D)
& ilf_type(E,set_type) )
| ~ member(C,inverse2(D,B)) ) )
| ~ ilf_type(D,binary_relation_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [B] :
( ! [C] :
( ! [D] :
( ( ( ! [E] :
( ~ member(E,B)
| ~ member(ordered_pair(C,E),D)
| ~ ilf_type(E,set_type) )
| member(C,inverse2(D,B)) )
& ( ( member(sK0_skl(D,C,B),B)
& member(ordered_pair(C,sK0_skl(D,C,B)),D)
& ilf_type(sK0_skl(D,C,B),set_type) )
| ~ member(C,inverse2(D,B)) ) )
| ~ ilf_type(D,binary_relation_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(E,sK0_skl(D,C,B))],[f31]) ).
fof(f34,plain,
! [X0,X1,X2] :
( member(ordered_pair(X1,sK0_skl(X2,X1,X0)),X2)
| ~ member(X1,inverse2(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
! [X0,X1,X2] :
( member(sK0_skl(X2,X1,X0),X0)
| ~ member(X1,inverse2(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type)
| member(X1,inverse2(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f37,plain,
! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ( member(E,C)
& member(D,B) )
| ~ member(ordered_pair(D,E),F)
| ~ ilf_type(F,relation_type(B,C)) )
| ~ ilf_type(E,set_type) )
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f40,plain,
! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ( F = ordered_pair(D,E)
<=> F = unordered_pair(unordered_pair(D,E),singleton(D)) )
| ~ ilf_type(F,set_type) )
| ~ ilf_type(E,set_type) )
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f41,plain,
! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ( ( F != unordered_pair(unordered_pair(D,E),singleton(D))
| F = ordered_pair(D,E) )
& ( F = unordered_pair(unordered_pair(D,E),singleton(D))
| F != ordered_pair(D,E) ) )
| ~ ilf_type(F,set_type) )
| ~ ilf_type(E,set_type) )
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
( ! [D] :
( ! [E] :
( ! [F] :
( ( ( F != unordered_pair(unordered_pair(D,E),singleton(D))
| F = ordered_pair(D,E) )
& ( F = unordered_pair(unordered_pair(D,E),singleton(D))
| F != ordered_pair(D,E) ) )
| ~ ilf_type(F,set_type) )
| ~ ilf_type(E,set_type) )
| ~ ilf_type(D,set_type) )
| ! [C] : ~ ilf_type(C,set_type)
| ! [B] : ~ ilf_type(B,set_type) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] :
( X4 = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| X4 != ordered_pair(X2,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4] :
( X4 != unordered_pair(unordered_pair(X2,X3),singleton(X2))
| X4 = ordered_pair(X2,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f47,plain,
! [B] :
( ! [C] :
( ( ! [E] :
( ilf_type(E,subset_type(cross_product(B,C)))
| ~ ilf_type(E,relation_type(B,C)) )
& ! [D] :
( ilf_type(D,relation_type(B,C))
| ~ ilf_type(D,subset_type(cross_product(B,C))) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f53,plain,
! [B] :
( ! [C] :
( ( ilf_type(B,member_type(C))
<=> member(B,C) )
| ~ ilf_type(C,set_type)
| empty(C) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f54,plain,
! [B] :
( ! [C] :
( ( ( ~ member(B,C)
| ilf_type(B,member_type(C)) )
& ( member(B,C)
| ~ ilf_type(B,member_type(C)) ) )
| ~ ilf_type(C,set_type)
| empty(C) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f53]) ).
fof(f56,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f74,plain,
! [B] :
( ! [C] : ilf_type(C,set_type)
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f75,plain,
( ! [C] : ilf_type(C,set_type)
| ! [B] : ~ ilf_type(B,set_type) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [B] :
( ( ilf_type(B,binary_relation_type)
<=> ( ilf_type(B,set_type)
& relation_like(B) ) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f78,plain,
! [B] :
( ( ( ~ ilf_type(B,set_type)
| ~ relation_like(B)
| ilf_type(B,binary_relation_type) )
& ( ( ilf_type(B,set_type)
& relation_like(B) )
| ~ ilf_type(B,binary_relation_type) ) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f77]) ).
fof(f81,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f120,plain,
! [B] :
( ! [C] :
( ! [D] :
( relation_like(D)
| ~ ilf_type(D,subset_type(cross_product(B,C))) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f121,plain,
! [X0,X1,X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( inverse4(B,C,D,E) = inverse2(D,E)
| ~ ilf_type(E,set_type) )
| ~ ilf_type(D,relation_type(B,C)) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( inverse4(X0,X1,X2,X3) = inverse2(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ilf_type(inverse4(B,C,D,E),subset_type(B))
| ~ ilf_type(E,set_type) )
| ~ ilf_type(D,relation_type(B,C)) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( ilf_type(inverse4(X0,X1,X2,X3),subset_type(X0))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f127,plain,
? [B] :
( ? [C] :
( ? [D] :
( ? [E] :
( ? [F] :
( ( member(F,inverse4(B,D,E,C))
<~> ? [G] :
( member(G,C)
& member(ordered_pair(F,G),E)
& ilf_type(G,member_type(D)) ) )
& ilf_type(F,member_type(B)) )
& ilf_type(E,relation_type(B,D)) )
& ilf_type(D,set_type)
& ~ empty(D) )
& ilf_type(C,set_type)
& ~ empty(C) )
& ilf_type(B,set_type)
& ~ empty(B) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f128,plain,
? [B] :
( ? [C] :
( ? [D] :
( ? [E] :
( ? [F] :
( ( ! [G] :
( ~ member(G,C)
| ~ member(ordered_pair(F,G),E)
| ~ ilf_type(G,member_type(D)) )
| ~ member(F,inverse4(B,D,E,C)) )
& ( ? [G] :
( member(G,C)
& member(ordered_pair(F,G),E)
& ilf_type(G,member_type(D)) )
| member(F,inverse4(B,D,E,C)) )
& ilf_type(F,member_type(B)) )
& ilf_type(E,relation_type(B,D)) )
& ilf_type(D,set_type)
& ~ empty(D) )
& ilf_type(C,set_type)
& ~ empty(C) )
& ilf_type(B,set_type)
& ~ empty(B) ),
inference(NNF_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
( ( ! [G] :
( ~ member(G,sK12_skl)
| ~ member(ordered_pair(sK15_skl,G),sK14_skl)
| ~ ilf_type(G,member_type(sK13_skl)) )
| ~ member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl)) )
& ( ( member(sK16_skl,sK12_skl)
& member(ordered_pair(sK15_skl,sK16_skl),sK14_skl)
& ilf_type(sK16_skl,member_type(sK13_skl)) )
| member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl)) )
& ilf_type(sK15_skl,member_type(sK11_skl))
& ilf_type(sK14_skl,relation_type(sK11_skl,sK13_skl))
& ilf_type(sK13_skl,set_type)
& ~ empty(sK13_skl)
& ilf_type(sK12_skl,set_type)
& ~ empty(sK12_skl)
& ilf_type(sK11_skl,set_type)
& ~ empty(sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl]),skolemize(B,sK11_skl),skolemize(C,sK12_skl),skolemize(D,sK13_skl),skolemize(E,sK14_skl),skolemize(F,sK15_skl),skolemize(G,sK16_skl)],[f128]) ).
fof(f134,plain,
~ empty(sK13_skl),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f136,plain,
ilf_type(sK14_skl,relation_type(sK11_skl,sK13_skl)),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f139,plain,
( member(ordered_pair(sK15_skl,sK16_skl),sK14_skl)
| member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl)) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f140,plain,
( member(sK16_skl,sK12_skl)
| member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl)) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f141,plain,
! [X0] :
( ~ member(X0,sK12_skl)
| ~ member(ordered_pair(sK15_skl,X0),sK14_skl)
| ~ ilf_type(X0,member_type(sK13_skl))
| ~ member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl)) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f142,definition,
! [X0] :
( sQ0_spl
<=> ~ ilf_type(X0,set_type) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f143,plain,
! [X0] :
( ~ sQ0_spl
| ~ ilf_type(X0,set_type) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,definition,
! [X2,X3,X4] :
( sQ1_spl
<=> ( X4 = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| X4 != ordered_pair(X2,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f43,f142,f145]) ).
fof(f149,definition,
! [X2,X3,X4] :
( sQ2_spl
<=> ( X4 != unordered_pair(unordered_pair(X2,X3),singleton(X2))
| X4 = ordered_pair(X2,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f44,f142,f149]) ).
fof(f153,definition,
! [X1] :
( sQ3_spl
<=> ilf_type(X1,set_type) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f76,f142,f153]) ).
fof(f157,definition,
( sQ4_spl
<=> member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ4_spl
| member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl)) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ4_spl
| ~ member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl)) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f164,definition,
( sQ6_spl
<=> member(ordered_pair(sK15_skl,sK16_skl),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ6_spl
| member(ordered_pair(sK15_skl,sK16_skl),sK14_skl) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ6_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f139,f157,f164]) ).
fof(f168,definition,
( sQ7_spl
<=> member(sK16_skl,sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( sQ7_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f140,f157,f168]) ).
fof(f172,definition,
! [X0] :
( sQ8_spl
<=> ( ~ member(X0,sK12_skl)
| ~ member(ordered_pair(sK15_skl,X0),sK14_skl)
| ~ ilf_type(X0,member_type(sK13_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f173,plain,
! [X0] :
( ~ sQ8_spl
| ~ member(X0,sK12_skl)
| ~ member(ordered_pair(sK15_skl,X0),sK14_skl)
| ~ ilf_type(X0,member_type(sK13_skl)) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f141,f157,f172]) ).
fof(f176,plain,
! [X0] :
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literals_removal,[status(thm)],[f81]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X3,relation_type(X4,X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f126]) ).
fof(f180,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f126]) ).
fof(f181,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f180]) ).
fof(f184,plain,
! [X0,X1,X2] :
( member(ordered_pair(X0,sK0_skl(X1,X0,X2)),X1)
| ~ member(X0,inverse2(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f34,f126]) ).
fof(f185,plain,
! [X0,X1,X2] :
( member(sK0_skl(X1,X0,X2),X2)
| ~ member(X0,inverse2(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f126]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( ~ member(X3,X2)
| ~ member(ordered_pair(X0,X3),X1)
| ~ ilf_type(X3,set_type)
| member(X0,inverse2(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f126]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ilf_type(X1,relation_type(X2,X0))
| ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f126]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ilf_type(X1,subset_type(cross_product(X2,X0)))
| ~ ilf_type(X1,relation_type(X2,X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f49,f126]) ).
fof(f189,plain,
( ilf_type(sK14_skl,subset_type(cross_product(sK11_skl,sK13_skl)))
| ~ ilf_type(sK13_skl,set_type) ),
inference(resolution,[status(thm)],[f136,f188]) ).
fof(f190,definition,
( sQ9_spl
<=> ilf_type(sK13_skl,set_type) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ9_spl
| ~ ilf_type(sK13_skl,set_type) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ10_spl
<=> ilf_type(sK14_skl,subset_type(cross_product(sK11_skl,sK13_skl))) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ10_spl
| ilf_type(sK14_skl,subset_type(cross_product(sK11_skl,sK13_skl))) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f189,f190,f193]) ).
fof(f197,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f192,f126]) ).
fof(f198,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f210,plain,
( ~ sQ10_spl
| ilf_type(sK14_skl,relation_type(sK11_skl,sK13_skl))
| ~ ilf_type(sK13_skl,set_type) ),
inference(resolution,[status(thm)],[f194,f187]) ).
fof(f211,definition,
( sQ14_spl
<=> ilf_type(sK14_skl,relation_type(sK11_skl,sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ10_spl
| sQ14_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f210,f190,f211,f193]) ).
fof(f215,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f126]) ).
fof(f216,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ilf_type(X1,member_type(X0))
| empty(X0) ),
inference(resolution,[status(thm)],[f215,f126]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
( inverse4(X2,X0,X1,X3) = inverse2(X1,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f126]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( inverse4(X2,X0,X1,X3) = inverse2(X1,X3)
| ~ ilf_type(X1,relation_type(X2,X0))
| ~ ilf_type(X0,set_type) ),
inference(resolution,[status(thm)],[f218,f126]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( inverse4(X1,X2,X0,X3) = inverse2(X0,X3)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f219,f126]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( ilf_type(inverse4(X2,X0,X1,X3),subset_type(X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f126]) ).
fof(f248,plain,
! [X0] : inverse4(sK11_skl,sK13_skl,sK14_skl,X0) = inverse2(sK14_skl,X0),
inference(resolution,[status(thm)],[f220,f136]) ).
fof(f258,plain,
! [X0] :
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f126]) ).
fof(f266,plain,
( ~ sQ4_spl
| member(sK15_skl,inverse2(sK14_skl,sK12_skl)) ),
inference(backward_demodulation,[status(thm)],[f248,f158]) ).
fof(f267,plain,
! [X0] :
( ilf_type(inverse2(sK14_skl,X0),subset_type(sK11_skl))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(sK14_skl,relation_type(sK11_skl,sK13_skl))
| ~ ilf_type(sK13_skl,set_type) ),
inference(paramodulation,[status(thm)],[f248,f221]) ).
fof(f268,definition,
! [X0] :
( sQ15_spl
<=> ( ilf_type(inverse2(sK14_skl,X0),subset_type(sK11_skl))
| ~ ilf_type(X0,set_type) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( sQ15_spl
| ~ sQ14_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f267,f190,f211,f268]) ).
fof(f273,plain,
( ~ sQ4_spl
| member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK12_skl)
| ~ ilf_type(sK14_skl,binary_relation_type)
| ~ ilf_type(sK15_skl,set_type) ),
inference(resolution,[status(thm)],[f266,f185]) ).
fof(f274,plain,
( ~ sQ4_spl
| member(ordered_pair(sK15_skl,sK0_skl(sK14_skl,sK15_skl,sK12_skl)),sK14_skl)
| ~ ilf_type(sK14_skl,binary_relation_type)
| ~ ilf_type(sK15_skl,set_type) ),
inference(resolution,[status(thm)],[f266,f184]) ).
fof(f275,definition,
( sQ16_spl
<=> ilf_type(sK15_skl,set_type) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( sQ16_spl
| ~ ilf_type(sK15_skl,set_type) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ17_spl
<=> ilf_type(sK14_skl,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( sQ17_spl
| ~ ilf_type(sK14_skl,binary_relation_type) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ18_spl
<=> member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ4_spl
| sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f273,f275,f278,f281,f157]) ).
fof(f285,definition,
( sQ19_spl
<=> member(ordered_pair(sK15_skl,sK0_skl(sK14_skl,sK15_skl,sK12_skl)),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ19_spl
| member(ordered_pair(sK15_skl,sK0_skl(sK14_skl,sK15_skl,sK12_skl)),sK14_skl) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( ~ sQ4_spl
| sQ19_spl
| ~ sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f274,f275,f278,f285,f157]) ).
fof(f289,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f126]) ).
fof(f290,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ20_spl
<=> empty(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ20_spl
| empty(sK13_skl) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f299,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f293,f134]) ).
fof(f300,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ17_spl
| ~ relation_like(sK14_skl) ),
inference(resolution,[status(thm)],[f280,f258]) ).
fof(f305,plain,
! [X0] :
( ~ sQ6_spl
| ~ member(sK16_skl,X0)
| ~ ilf_type(sK16_skl,set_type)
| member(sK15_skl,inverse2(sK14_skl,X0))
| ~ ilf_type(sK14_skl,binary_relation_type)
| ~ ilf_type(sK15_skl,set_type) ),
inference(resolution,[status(thm)],[f165,f186]) ).
fof(f309,definition,
! [X0] :
( sQ22_spl
<=> ( ~ member(sK16_skl,X0)
| member(sK15_skl,inverse2(sK14_skl,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f310,plain,
! [X0] :
( ~ sQ22_spl
| ~ member(sK16_skl,X0)
| member(sK15_skl,inverse2(sK14_skl,X0)) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
( sQ23_spl
<=> ilf_type(sK16_skl,set_type) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ23_spl
| ~ ilf_type(sK16_skl,set_type) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( ~ sQ6_spl
| ~ sQ23_spl
| sQ22_spl
| ~ sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f305,f275,f278,f309,f312,f164]) ).
fof(f324,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f126]) ).
fof(f325,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f324]) ).
fof(f343,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| ~ member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK12_skl)
| ~ ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),member_type(sK13_skl)) ),
inference(resolution,[status(thm)],[f286,f173]) ).
fof(f345,plain,
! [X0,X1] :
( ~ sQ19_spl
| member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),X0)
| ~ ilf_type(sK14_skl,relation_type(X1,X0))
| ~ ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),set_type)
| ~ ilf_type(sK15_skl,set_type)
| ~ ilf_type(X0,set_type) ),
inference(resolution,[status(thm)],[f286,f178]) ).
fof(f347,definition,
( sQ26_spl
<=> ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),member_type(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( sQ26_spl
| ~ ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),member_type(sK13_skl)) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f343,f347,f281,f285,f172]) ).
fof(f354,definition,
( sQ28_spl
<=> ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),set_type) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( sQ28_spl
| ~ ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),set_type) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f358,definition,
! [X0,X1] :
( sQ29_spl
<=> ( member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),X0)
| ~ ilf_type(sK14_skl,relation_type(X1,X0))
| ~ ilf_type(X0,set_type) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f359,plain,
! [X0,X1] :
( ~ sQ29_spl
| member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),X0)
| ~ ilf_type(sK14_skl,relation_type(X1,X0))
| ~ ilf_type(X0,set_type) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ16_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f345,f358,f275,f354,f285]) ).
fof(f363,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f126]) ).
fof(f364,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f363]) ).
fof(f365,plain,
! [X0,X1] :
( ~ sQ29_spl
| member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),X1)
| ~ ilf_type(sK14_skl,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f126]) ).
fof(f394,plain,
! [X0,X1,X2] :
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f121,f126]) ).
fof(f395,plain,
! [X0,X1] :
( sQ17_spl
| ~ ilf_type(sK14_skl,subset_type(cross_product(X1,X0)))
| ~ ilf_type(X0,set_type) ),
inference(resolution,[status(thm)],[f394,f301]) ).
fof(f396,plain,
! [X0,X1] :
( sQ17_spl
| ~ ilf_type(sK14_skl,subset_type(cross_product(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f395,f126]) ).
fof(f407,plain,
( ~ sQ10_spl
| sQ17_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f194,f396]) ).
fof(f408,plain,
( ~ sQ10_spl
| sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f407]) ).
fof(f456,plain,
( sQ26_spl
| ~ member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK13_skl)
| empty(sK13_skl) ),
inference(resolution,[status(thm)],[f349,f216]) ).
fof(f457,definition,
( sQ32_spl
<=> member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ32_spl
| ~ member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK13_skl) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( sQ26_spl
| ~ sQ32_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f456,f292,f457,f347]) ).
fof(f461,plain,
( sQ4_spl
| ~ member(sK15_skl,inverse2(sK14_skl,sK12_skl)) ),
inference(forward_demodulation,[status(thm)],[f248,f159]) ).
fof(f470,plain,
( sQ4_spl
| ~ sQ22_spl
| ~ member(sK16_skl,sK12_skl) ),
inference(resolution,[status(thm)],[f310,f461]) ).
fof(f473,plain,
( sQ4_spl
| ~ sQ22_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f470,f168,f309,f157]) ).
fof(f488,plain,
( ~ sQ29_spl
| member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK13_skl) ),
inference(resolution,[status(thm)],[f365,f136]) ).
fof(f489,plain,
( ~ sQ29_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f459]) ).
fof(f490,plain,
( ~ sQ29_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f491,plain,
$false,
inference(sat_refutation,[status(thm)],[f148,f152,f156,f167,f171,f175,f181,f196,f198,f214,f271,f284,f288,f290,f300,f315,f325,f350,f361,f364,f408,f460,f473,f490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET686+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:32:35 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.060665 seconds
% 0.13/0.43 % CPU time: 0.198095 seconds
% 0.13/0.43 % Total memory used: 84.797 MB
% 0.13/0.43 % Net memory used: 84.578 MB
%------------------------------------------------------------------------------