%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET686+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 : Fri Sep 25 02:47:47 PM UTC 2026
% Result : Theorem 0.80s 1.22s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f150ERROR: Could not build tree for root c_4605ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(X1,inverse2(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] : ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( relation_like(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f25,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
fof(f27,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f28,conjecture,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,inverse4(X0,X2,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_53) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,inverse4(X0,X2,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f30,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ilf_type(X1,set_type)
& ~ empty(X1)
& ? [X2] :
( ilf_type(X2,set_type)
& ~ empty(X2)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,inverse4(X0,X2,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f31,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ilf_type(X1,set_type)
& ~ empty(X1)
& ? [X2] :
( ilf_type(X2,set_type)
& ~ empty(X2)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,inverse4(X0,X2,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] : ilf_type(X1,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ ilf_type(X4,relation_type(X0,X1))
| ~ member(ordered_pair(X2,X3),X4)
| ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f35,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ ilf_type(X4,relation_type(X0,X1))
| ~ member(ordered_pair(X2,X3),X4)
| ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ),
inference(flattening,[],[f34]) ).
fof(f40,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f41,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( relation_like(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f43,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( relation_like(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ),
inference(flattening,[],[f42]) ).
fof(f48,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f57,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( member(X1,inverse2(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f59,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f60,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ilf_type(X1,set_type)
& ~ empty(X1)
& ? [X2] :
( ilf_type(X2,set_type)
& ~ empty(X2)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,inverse4(X0,X2,X3,X1))
| ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) )
& ( ~ member(X4,inverse4(X0,X2,X3,X1))
| ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f61,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ilf_type(X1,set_type)
& ~ empty(X1)
& ? [X2] :
( ilf_type(X2,set_type)
& ~ empty(X2)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,inverse4(X0,X2,X3,X1))
| ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) )
& ( ~ member(X4,inverse4(X0,X2,X3,X1))
| ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ilf_type(X1,set_type)
& ~ empty(X1)
& ? [X2] :
( ilf_type(X2,set_type)
& ~ empty(X2)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,inverse4(X0,X2,X3,X1))
| ? [X6] :
( member(X6,X1)
& member(ordered_pair(X4,X6),X3)
& ilf_type(X6,member_type(X2)) ) )
& ( ~ member(X4,inverse4(X0,X2,X3,X1))
| ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
( ilf_type(sK0,set_type)
& ~ empty(sK0)
& ilf_type(sK1,set_type)
& ~ empty(sK1)
& ilf_type(sK2,set_type)
& ~ empty(sK2)
& ilf_type(sK3,relation_type(sK0,sK2))
& ilf_type(sK4,member_type(sK0))
& ( member(sK4,inverse4(sK0,sK2,sK3,sK1))
| ( member(sK5,sK1)
& member(ordered_pair(sK4,sK5),sK3)
& ilf_type(sK5,member_type(sK2)) ) )
& ( ~ member(sK4,inverse4(sK0,sK2,sK3,sK1))
| ! [X5] :
( ~ member(X5,sK1)
| ~ member(ordered_pair(sK4,X5),sK3)
| ~ ilf_type(X5,member_type(sK2)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X6,sK5)],[f62]) ).
fof(f64,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ empty(X0)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) )
| empty(X0) ) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f65,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ empty(X0)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) )
| empty(X0) ) ) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ empty(X0)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ) )
& ( ( ilf_type(sK6(X0),set_type)
& member(sK6(X0),X0) )
| empty(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f65]) ).
fof(f68,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ( ~ ilf_type(X0,member_type(X1))
| member(X0,X1) )
& ( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f69,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ relation_like(X0)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0)
& ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| relation_like(X0) ) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ relation_like(X0)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(X4,X0)
| ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) ) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0)
& ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| relation_like(X0) ) ) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ relation_like(X0)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(X4,X0)
| ( ordered_pair(sK9(X4),sK10(X4)) = X4
& ilf_type(sK10(X4),set_type)
& ilf_type(sK9(X4),set_type) ) ) )
& ( ( ilf_type(sK8(X0),set_type)
& member(sK8(X0),X0)
& ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK8(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| relation_like(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X5,sK9(X4)),skolemize(X6,sK10(X4))],[f70]) ).
fof(f84,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,inverse2(X2,X0))
| ? [X3] :
( member(X3,X0)
& member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,inverse2(X2,X0)) ) ) ) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f85,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,inverse2(X2,X0))
| ? [X4] :
( member(X4,X0)
& member(ordered_pair(X1,X4),X2)
& ilf_type(X4,set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,inverse2(X2,X0)) ) ) ) ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,inverse2(X2,X0))
| ( member(sK15(X0,X1,X2),X0)
& member(ordered_pair(X1,sK15(X0,X1,X2)),X2)
& ilf_type(sK15(X0,X1,X2),set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,inverse2(X2,X0)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X4,sK15(X0,X1,X2))],[f85]) ).
fof(f94,plain,
ilf_type(sK3,relation_type(sK0,sK2)),
inference(cnf_transformation,[],[f63]) ).
fof(f96,plain,
( member(sK4,inverse4(sK0,sK2,sK3,sK1))
| member(sK5,sK1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f97,plain,
( member(sK4,inverse4(sK0,sK2,sK3,sK1))
| member(ordered_pair(sK4,sK5),sK3) ),
inference(cnf_transformation,[],[f63]) ).
fof(f99,plain,
! [X5] :
( ~ member(sK4,inverse4(sK0,sK2,sK3,sK1))
| ~ member(X5,sK1)
| ~ member(ordered_pair(sK4,X5),sK3)
| ~ ilf_type(X5,member_type(sK2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f100,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f101,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f102,plain,
! [X2,X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(X0)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ member(ordered_pair(X2,X3),X4)
| member(X3,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f110,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f111,plain,
! [X0,X4] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X4,set_type)
| ~ member(X4,X0)
| ordered_pair(sK9(X4),sK10(X4)) = X4 ),
inference(cnf_transformation,[],[f71]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,inverse2(X2,X0))
| member(sK15(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,inverse2(X2,X0))
| member(ordered_pair(X1,sK15(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X3,X0)
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type)
| member(X1,inverse2(X2,X0)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f145,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ member(X0,sK1)
| ~ ilf_type(X0,member_type(sK2))
| ~ member(ordered_pair(sK4,X0),sK3)
| ~ member(sK4,inverse4(sK0,sK2,sK3,sK1)) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_51,negated_conjecture,
( member(ordered_pair(sK4,sK5),sK3)
| member(sK4,inverse4(sK0,sK2,sK3,sK1)) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_52,negated_conjecture,
( member(sK5,sK1)
| member(sK4,inverse4(sK0,sK2,sK3,sK1)) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_54,negated_conjecture,
ilf_type(sK3,relation_type(sK0,sK2)),
inference(cnf_transformation,[],[f94]) ).
tcf(c_61,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f100]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X4,X2)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X3,X4),X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK9(X0),sK10(X0)) = X0 )
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse4(X1,X2,X0,X3) = inverse2(X0,X3) )
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_85,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse2(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X1,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X0,sK15(X2,X0,X1)),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK15(X2,X0,X1),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_150,plain,
! [X1: $i] : ilf_type(X1,set_type),
inference(global_subsumption_just,[status(thm)],[c_62,c_61,c_62]) ).
tcf(c_151,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(renaming,[status(thm)],[c_150]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ member(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_61,c_62,c_65]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(global_subsumption_just,[status(thm)],[c_84,c_61,c_62,c_84]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_61,c_62,c_70,c_197]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(renaming,[status(thm)],[c_223]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_106,c_61,c_62,c_106]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK9(X0),sK10(X0)) = X0 )
| ~ relation_like(X1)
| ~ member(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_77,c_61,c_62,c_77]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK15(X2,X0,X1),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_103,c_61,c_103]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X0,sK15(X2,X0,X1)),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_102,c_61,c_102]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse4(X1,X2,X0,X3) = inverse2(X0,X3) )
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_83,c_61,c_62,c_83]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse2(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_100,c_61,c_62,c_100]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X4,X2)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2))
| ~ member(ordered_pair(X3,X4),X0) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_61,c_62,c_67]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X4,X2)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X3,X4),X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(renaming,[status(thm)],[c_261]) ).
tcf(c_439,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK15(X2,X0,X1),X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_244,c_151]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_209,c_151]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_232,c_151]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse4(X1,X2,X0,X3) = inverse2(X0,X3) )
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_257,c_151]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X0,sK15(X2,X0,X1)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,inverse2(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_253,c_151]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse2(X2,X3))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_259,c_151]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X4,X2)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X4),X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_262,c_151]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse4(X1,X2,X0,X3) = inverse2(X0,X3) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_445,c_151]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X4,X2)
| ~ member(ordered_pair(X3,X4),X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_449,c_151,c_151]) ).
tcf(c_1102,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_61,c_85]) ).
tcf(c_1116,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_224]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_443,c_441]) ).
tcf(c_1122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse4(X1,X2,X0,X3) = inverse2(X0,X3) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_599]) ).
tcf(c_2702,plain,
! [X0: $i] :
( member(sK5,sK1)
| ~ member(X0,sK1)
| ~ ilf_type(X0,member_type(sK2))
| ~ member(ordered_pair(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
tcf(c_2782,plain,
relation_like(sK3),
inference(superposition,[status(thm)],[c_54,c_1118]) ).
tcf(c_3026,plain,
! [X0: $i] :
( member(sK5,sK1)
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,inverse2(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2)) ),
inference(superposition,[status(thm)],[c_446,c_2702]) ).
tcf(c_3067,plain,
( member(ordered_pair(sK4,sK5),sK3)
| ( ordered_pair(sK9(sK4),sK10(sK4)) = sK4 )
| ~ relation_like(inverse4(sK0,sK2,sK3,sK1)) ),
inference(superposition,[status(thm)],[c_51,c_241]) ).
tcf(c_3169,plain,
! [X0: $i] : inverse4(sK0,sK2,sK3,X0) = inverse2(sK3,X0),
inference(superposition,[status(thm)],[c_54,c_1122]) ).
tcf(c_3174,plain,
! [X0: $i] :
( ~ member(X0,sK1)
| ~ ilf_type(X0,member_type(sK2))
| ~ member(sK4,inverse2(sK3,sK1))
| ~ member(ordered_pair(sK4,X0),sK3) ),
inference(demodulation,[status(thm)],[c_49,c_3169]) ).
tcf(c_3175,plain,
( member(sK4,inverse2(sK3,sK1))
| member(ordered_pair(sK4,sK5),sK3) ),
inference(demodulation,[status(thm)],[c_51,c_3169]) ).
tcf(c_3177,plain,
( member(sK5,sK1)
| member(sK4,inverse2(sK3,sK1)) ),
inference(demodulation,[status(thm)],[c_52,c_3169]) ).
tcf(c_3350,plain,
( member(ordered_pair(sK4,sK5),sK3)
| ( ordered_pair(sK9(sK4),sK10(sK4)) = sK4 )
| ~ relation_like(inverse2(sK3,sK1)) ),
inference(demodulation,[status(thm)],[c_3067,c_3169]) ).
tcf(c_3390,plain,
! [X0: $i] :
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,inverse2(sK3,sK1))
| ~ member(sK4,inverse2(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2)) ),
inference(superposition,[status(thm)],[c_446,c_3174]) ).
tcf(c_3410,plain,
! [X0: $i] :
( member(sK4,inverse2(sK3,X0))
| ( ordered_pair(sK9(sK4),sK10(sK4)) = sK4 )
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK5,X0)
| ~ relation_like(inverse2(sK3,sK1)) ),
inference(superposition,[status(thm)],[c_3350,c_447]) ).
tcf(c_3411,plain,
! [X0: $i] :
( member(sK4,inverse2(sK3,sK1))
| member(sK4,inverse2(sK3,X0))
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK5,X0) ),
inference(superposition,[status(thm)],[c_3175,c_447]) ).
tcf(c_3592,plain,
( member(sK4,inverse2(sK3,sK1))
| ~ member(sK5,sK1)
| ~ ilf_type(sK3,binary_relation_type) ),
inference(equality_factoring,[status(thm)],[c_3411]) ).
tcf(c_3741,plain,
! [X0: $i] :
( ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK4,inverse2(sK3,X0))
| ~ ilf_type(sK3,binary_relation_type) ),
inference(global_subsumption_just,[status(thm)],[c_3026,c_3177,c_3390,c_3592]) ).
tcf(c_3742,plain,
! [X0: $i] :
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,inverse2(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2)) ),
inference(renaming,[status(thm)],[c_3741]) ).
tcf(c_3752,plain,
! [X0: $i] :
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,inverse2(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK15(X0,sK4,sK3),sK2) ),
inference(superposition,[status(thm)],[c_1116,c_3742]) ).
tcf(c_3886,plain,
! [X0: $i,X1: $i] :
( member(X1,sK2)
| ~ member(ordered_pair(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_54,c_644]) ).
tcf(c_3914,plain,
! [X0: $i,X1: $i] :
( member(sK15(X1,X0,sK3),sK2)
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(X0,inverse2(sK3,X1)) ),
inference(superposition,[status(thm)],[c_446,c_3886]) ).
tcf(c_4235,plain,
( member(sK4,inverse2(sK3,sK1))
| ~ ilf_type(sK3,binary_relation_type) ),
inference(global_subsumption_just,[status(thm)],[c_3592,c_3177,c_3592]) ).
tcf(c_4281,plain,
! [X0: $i] :
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,inverse2(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3752,c_3914]) ).
tcf(c_4291,plain,
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,inverse2(sK3,sK1)) ),
inference(superposition,[status(thm)],[c_439,c_4281]) ).
tcf(c_4602,plain,
~ ilf_type(sK3,binary_relation_type),
inference(global_subsumption_just,[status(thm)],[c_3410,c_4235,c_4291]) ).
tcf(c_4604,plain,
~ relation_like(sK3),
inference(superposition,[status(thm)],[c_1102,c_4602]) ).
tcf(c_4605,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4604,c_2782]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET686+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 11:40:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 0.80/1.22 % SZS status Started for theBenchmark.p
% 0.80/1.22 % SZS status Theorem for theBenchmark.p
% 0.80/1.22
% 0.80/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.80/1.22
% 0.80/1.22 % ------ iProver source info
% 0.80/1.22
% 0.80/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 0.80/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.80/1.22 % git: non_committed_changes: false
% 0.80/1.22
% 0.80/1.22 % ------ Parsing...
% 0.80/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.80/1.22
% 0.80/1.22 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.80/1.22
% 0.80/1.22 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.80/1.22
% 0.80/1.22 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.80/1.22 % ------ Proving...
% 0.80/1.22 % ------ Problem Properties
% 0.80/1.22
% 0.80/1.22 %
% 0.80/1.22 % clauses 42
% 0.80/1.22 % conjectures 9
% 0.80/1.22 % EPR 9
% 0.80/1.22 % Horn 33
% 0.80/1.22 % unary 10
% 0.80/1.22 % binary 21
% 0.80/1.22 % lits 87
% 0.80/1.22 % lits eq 5
% 0.80/1.22 % fd_pure 0
% 0.80/1.22 % fd_pseudo 0
% 0.80/1.22 % fd_cond 0
% 0.80/1.22 % fd_pseudo_cond 2
% 0.80/1.22 % AC symbols 0
% 0.80/1.22
% 0.80/1.22 % ------ Schedule dynamic 5 is on
% 0.80/1.22
% 0.80/1.22 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 % ------
% 0.80/1.22 % Current options:
% 0.80/1.22 % ------
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 %
% 0.80/1.22
% 0.80/1.22 % ------ Proving...
% 0.80/1.22 %
% 0.80/1.22
% 0.80/1.22 % SZS status Theorem for theBenchmark.p
% 0.80/1.22
% 0.80/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.80/1.22
% 0.80/1.22
%------------------------------------------------------------------------------