%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET685+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 : n002.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 4.47s 1.27s
% Output : CNFRefutation 4.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f148ERROR: Could not build tree for root c_4788ERROR: 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,image(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),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(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)
=> image4(X0,X1,X2,X3) = image(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(X2,X0))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,image4(X2,X0,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_52) ).
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(X2,X0))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,image4(X2,X0,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),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(X2,X0))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,image4(X2,X0,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),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(X2,X0))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,image4(X2,X0,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f33,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(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(flattening,[],[f33]) ).
fof(f39,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(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(flattening,[],[f39]) ).
fof(f41,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(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(flattening,[],[f41]) ).
fof(f47,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)
| image4(X0,X1,X2,X3) = image(X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f48,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(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( member(X1,image(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f58,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(f59,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(X2,X0))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,image4(X2,X0,X3,X1))
| ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) )
& ( ~ member(X4,image4(X2,X0,X3,X1))
| ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f31]) ).
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(X2,X0))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,image4(X2,X0,X3,X1))
| ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) )
& ( ~ member(X4,image4(X2,X0,X3,X1))
| ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(flattening,[],[f59]) ).
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(X2,X0))
& ? [X4] :
( ilf_type(X4,member_type(X0))
& ( member(X4,image4(X2,X0,X3,X1))
| ? [X6] :
( member(X6,X1)
& member(ordered_pair(X6,X4),X3)
& ilf_type(X6,member_type(X2)) ) )
& ( ~ member(X4,image4(X2,X0,X3,X1))
| ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(rectify,[],[f60]) ).
fof(f62,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(sK2,sK0))
& ilf_type(sK4,member_type(sK0))
& ( member(sK4,image4(sK2,sK0,sK3,sK1))
| ( member(sK5,sK1)
& member(ordered_pair(sK5,sK4),sK3)
& ilf_type(sK5,member_type(sK2)) ) )
& ( ~ member(sK4,image4(sK2,sK0,sK3,sK1))
| ! [X5] :
( ~ member(X5,sK1)
| ~ member(ordered_pair(X5,sK4),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)],[f61]) ).
fof(f63,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,[],[f32]) ).
fof(f64,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,[],[f63]) ).
fof(f65,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))],[f64]) ).
fof(f67,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,[],[f40]) ).
fof(f68,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,[],[f42]) ).
fof(f69,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,[],[f68]) ).
fof(f70,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))],[f69]) ).
fof(f83,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,image(X2,X0))
| ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),X2)
& ilf_type(X3,set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,image(X2,X0)) ) ) ) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f84,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,image(X2,X0))
| ? [X4] :
( member(X4,X0)
& member(ordered_pair(X4,X1),X2)
& ilf_type(X4,set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,image(X2,X0)) ) ) ) ) ),
inference(rectify,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(X1,image(X2,X0))
| ( member(sK15(X0,X1,X2),X0)
& member(ordered_pair(sK15(X0,X1,X2),X1),X2)
& ilf_type(sK15(X0,X1,X2),set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type) )
| member(X1,image(X2,X0)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X4,sK15(X0,X1,X2))],[f84]) ).
fof(f93,plain,
ilf_type(sK3,relation_type(sK2,sK0)),
inference(cnf_transformation,[],[f62]) ).
fof(f95,plain,
( member(sK4,image4(sK2,sK0,sK3,sK1))
| member(sK5,sK1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f96,plain,
( member(sK4,image4(sK2,sK0,sK3,sK1))
| member(ordered_pair(sK5,sK4),sK3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f98,plain,
! [X5] :
( ~ member(sK4,image4(sK2,sK0,sK3,sK1))
| ~ member(X5,sK1)
| ~ member(ordered_pair(X5,sK4),sK3)
| ~ ilf_type(X5,member_type(sK2)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f99,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f100,plain,
! [X2,X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(X0)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f104,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(X2,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f108,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,[],[f67]) ).
fof(f109,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,[],[f70]) ).
fof(f120,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)
| image4(X0,X1,X2,X3) = image(X2,X3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f121,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,[],[f48]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,image(X2,X0))
| member(sK15(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,image(X2,X0))
| member(ordered_pair(sK15(X0,X1,X2),X1),X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f141,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(X3,X1),X2)
| ~ ilf_type(X3,set_type)
| member(X1,image(X2,X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f143,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,[],[f58]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ member(X0,sK1)
| ~ ilf_type(X0,member_type(sK2))
| ~ member(ordered_pair(X0,sK4),sK3)
| ~ member(sK4,image4(sK2,sK0,sK3,sK1)) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_51,negated_conjecture,
( member(ordered_pair(sK5,sK4),sK3)
| member(sK4,image4(sK2,sK0,sK3,sK1)) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_52,negated_conjecture,
( member(sK5,sK1)
| member(sK4,image4(sK2,sK0,sK3,sK1)) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_54,negated_conjecture,
ilf_type(sK3,relation_type(sK2,sK0)),
inference(cnf_transformation,[],[f93]) ).
tcf(c_61,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f99]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X3,X1)
| ~ 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,[],[f104]) ).
tcf(c_69,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,[],[f108]) ).
tcf(c_76,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,[],[f109]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( image4(X1,X2,X0,X3) = image(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,[],[f120]) ).
tcf(c_83,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,[],[f121]) ).
tcf(c_84,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(sK15(X2,X0,X1),X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,image(X1,X2)) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_102,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,image(X1,X2)) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_105,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,[],[f143]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_61,c_64,c_69]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1) ),
inference(renaming,[status(thm)],[c_222]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK9(X0),sK10(X0)) = X0 )
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_76,c_61,c_76]) ).
tcf(c_238,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,image(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_102,c_61,c_102]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(sK15(X2,X0,X1),X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,image(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_101,c_61,c_101]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2)
| ~ member(X0,X3) ),
inference(global_subsumption_just,[status(thm)],[c_99,c_61,c_99]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(renaming,[status(thm)],[c_248]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_223,c_61]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK15(X2,X0,X1),X2)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,image(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_238,c_61]) ).
tcf(c_414,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(backward_subsumption_resolution,[status(thm)],[c_83,c_61]) ).
tcf(c_415,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(backward_subsumption_resolution,[status(thm)],[c_105,c_61]) ).
tcf(c_418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( image4(X1,X2,X0,X3) = image(X0,X3) )
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_82,c_61]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(sK15(X2,X0,X1),X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,image(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_246,c_61]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_249,c_61]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK9(X0),sK10(X0)) = X0 )
| ~ relation_like(X1)
| ~ member(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_236,c_61]) ).
tcf(c_423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X3,X1)
| ~ 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(backward_subsumption_resolution,[status(thm)],[c_65,c_61]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_414,c_61]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_415,c_61]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( image4(X1,X2,X0,X3) = image(X0,X3) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_418,c_61,c_61]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,image(X2,X3))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_420,c_61]) ).
tcf(c_674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X3,X1)
| ~ member(ordered_pair(X3,X4),X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_423,c_61,c_61,c_61]) ).
tcf(c_1132,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_61,c_84]) ).
tcf(c_1146,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_404]) ).
tcf(c_1148,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_515,c_561]) ).
tcf(c_1152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( image4(X1,X2,X0,X3) = image(X0,X3) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_624]) ).
tcf(c_2734,plain,
! [X0: $i] :
( member(sK5,sK1)
| ~ member(X0,sK1)
| ~ ilf_type(X0,member_type(sK2))
| ~ member(ordered_pair(X0,sK4),sK3) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
tcf(c_2816,plain,
relation_like(sK3),
inference(superposition,[status(thm)],[c_54,c_1148]) ).
tcf(c_2899,plain,
! [X0: $i] :
( member(sK5,sK1)
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,image(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2)) ),
inference(superposition,[status(thm)],[c_419,c_2734]) ).
tcf(c_2999,plain,
! [X0: $i] :
( member(sK5,sK1)
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,image(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK15(X0,sK4,sK3),sK2) ),
inference(superposition,[status(thm)],[c_1146,c_2899]) ).
tcf(c_3050,plain,
( member(sK5,sK1)
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,image(sK3,sK1))
| ~ member(sK15(sK1,sK4,sK3),sK2) ),
inference(superposition,[status(thm)],[c_408,c_2999]) ).
tcf(c_3131,plain,
( member(ordered_pair(sK5,sK4),sK3)
| ( ordered_pair(sK9(sK4),sK10(sK4)) = sK4 )
| ~ relation_like(image4(sK2,sK0,sK3,sK1)) ),
inference(superposition,[status(thm)],[c_51,c_421]) ).
tcf(c_3218,plain,
! [X0: $i,X1: $i] :
( member(X0,sK2)
| ~ member(ordered_pair(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_54,c_674]) ).
tcf(c_3229,plain,
! [X0: $i] : image4(sK2,sK0,sK3,X0) = image(sK3,X0),
inference(superposition,[status(thm)],[c_54,c_1152]) ).
tcf(c_3234,plain,
! [X0: $i] :
( ~ member(X0,sK1)
| ~ ilf_type(X0,member_type(sK2))
| ~ member(sK4,image(sK3,sK1))
| ~ member(ordered_pair(X0,sK4),sK3) ),
inference(demodulation,[status(thm)],[c_49,c_3229]) ).
tcf(c_3235,plain,
( member(sK4,image(sK3,sK1))
| member(ordered_pair(sK5,sK4),sK3) ),
inference(demodulation,[status(thm)],[c_51,c_3229]) ).
tcf(c_3237,plain,
( member(sK5,sK1)
| member(sK4,image(sK3,sK1)) ),
inference(demodulation,[status(thm)],[c_52,c_3229]) ).
tcf(c_3279,plain,
( member(sK5,sK1)
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK15(sK1,sK4,sK3),sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3050,c_3237]) ).
tcf(c_3301,plain,
! [X0: $i,X1: $i] :
( member(sK15(X1,X0,sK3),sK2)
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(X0,image(sK3,X1)) ),
inference(superposition,[status(thm)],[c_419,c_3218]) ).
tcf(c_3341,plain,
! [X0: $i] :
( member(sK4,image(sK3,sK1))
| member(sK4,image(sK3,X0))
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK5,X0) ),
inference(superposition,[status(thm)],[c_3235,c_637]) ).
tcf(c_3457,plain,
( member(ordered_pair(sK5,sK4),sK3)
| ( ordered_pair(sK9(sK4),sK10(sK4)) = sK4 )
| ~ relation_like(image(sK3,sK1)) ),
inference(demodulation,[status(thm)],[c_3131,c_3229]) ).
tcf(c_3472,plain,
! [X0: $i] :
( member(sK4,image(sK3,X0))
| ( ordered_pair(sK9(sK4),sK10(sK4)) = sK4 )
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK5,X0)
| ~ relation_like(image(sK3,sK1)) ),
inference(superposition,[status(thm)],[c_3457,c_637]) ).
tcf(c_3506,plain,
! [X0: $i] :
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,image(sK3,sK1))
| ~ member(sK4,image(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2)) ),
inference(superposition,[status(thm)],[c_419,c_3234]) ).
tcf(c_3784,plain,
( member(sK5,sK1)
| ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,image(sK3,sK1)) ),
inference(superposition,[status(thm)],[c_3301,c_3279]) ).
tcf(c_3833,plain,
( member(sK4,image(sK3,sK1))
| ~ member(sK5,sK1)
| ~ ilf_type(sK3,binary_relation_type) ),
inference(equality_factoring,[status(thm)],[c_3341]) ).
tcf(c_4219,plain,
! [X0: $i] :
( ~ ilf_type(sK3,binary_relation_type)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK4,image(sK3,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3506,c_3237,c_3506,c_3784,c_3833]) ).
tcf(c_4220,plain,
! [X0: $i] :
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,image(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2)) ),
inference(renaming,[status(thm)],[c_4219]) ).
tcf(c_4230,plain,
! [X0: $i] :
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,image(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK15(X0,sK4,sK3),sK2) ),
inference(superposition,[status(thm)],[c_1146,c_4220]) ).
tcf(c_4290,plain,
( member(sK5,sK1)
| ~ ilf_type(sK3,binary_relation_type) ),
inference(global_subsumption_just,[status(thm)],[c_3784,c_3237,c_3784]) ).
tcf(c_4296,plain,
( member(sK5,sK1)
| ~ relation_like(sK3) ),
inference(superposition,[status(thm)],[c_1132,c_4290]) ).
tcf(c_4297,plain,
member(sK5,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_4296,c_2816]) ).
tcf(c_4772,plain,
! [X0: $i] :
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,image(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4230,c_3301]) ).
tcf(c_4782,plain,
( ~ ilf_type(sK3,binary_relation_type)
| ~ member(sK4,image(sK3,sK1)) ),
inference(superposition,[status(thm)],[c_408,c_4772]) ).
tcf(c_4785,plain,
~ ilf_type(sK3,binary_relation_type),
inference(global_subsumption_just,[status(thm)],[c_3472,c_3833,c_4297,c_4782]) ).
tcf(c_4787,plain,
~ relation_like(sK3),
inference(superposition,[status(thm)],[c_1132,c_4785]) ).
tcf(c_4788,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4787,c_2816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET685+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n002.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 : Thu Sep 24 11:42:04 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.38 Running first-order theorem proving
% 0.15/0.38 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
% 0.15/0.40
% 0.15/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.40
% 0.15/0.40 % Detected problem language: tptp
% 0.15/0.41 % Proving...
% 4.47/1.27 % SZS status Started for theBenchmark.p
% 4.47/1.27 % SZS status Theorem for theBenchmark.p
% 4.47/1.27
% 4.47/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.47/1.27
% 4.47/1.27 % ------ iProver source info
% 4.47/1.27
% 4.47/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.47/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.47/1.27 % git: non_committed_changes: false
% 4.47/1.27
% 4.47/1.27 % ------ Parsing...
% 4.47/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.47/1.27
% 4.47/1.27 % ------ 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 %
% 4.47/1.27
% 4.47/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.47/1.27
% 4.47/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.47/1.27 % ------ Proving...
% 4.47/1.27 % ------ Problem Properties
% 4.47/1.27
% 4.47/1.27 %
% 4.47/1.27 % clauses 42
% 4.47/1.27 % conjectures 9
% 4.47/1.27 % EPR 9
% 4.47/1.27 % Horn 33
% 4.47/1.27 % unary 10
% 4.47/1.27 % binary 21
% 4.47/1.27 % lits 87
% 4.47/1.27 % lits eq 5
% 4.47/1.27 % fd_pure 0
% 4.47/1.27 % fd_pseudo 0
% 4.47/1.27 % fd_cond 0
% 4.47/1.27 % fd_pseudo_cond 2
% 4.47/1.27 % AC symbols 0
% 4.47/1.27
% 4.47/1.27 % ------ Schedule dynamic 5 is on
% 4.47/1.27
% 4.47/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.47/1.27
% 4.47/1.27
% 4.47/1.27 % ------
% 4.47/1.27 % Current options:
% 4.47/1.27 % ------
% 4.47/1.27
% 4.47/1.27
% 4.47/1.27 %
% 4.47/1.27
% 4.47/1.27 % ------ Proving...
% 4.47/1.27 %
% 4.47/1.27
% 4.47/1.27 % SZS status Theorem for theBenchmark.p
% 4.47/1.27
% 4.47/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.47/1.27
% 4.47/1.27
%------------------------------------------------------------------------------