%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET651+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 02:47:41 PM UTC 2026
% Result : Theorem 15.98s 3.18s
% Output : CNFRefutation 15.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f141ERROR: Could not build tree for root c_81550ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f3,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)
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).
fof(f18,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18) ).
fof(f20,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/sandbox/benchmark/theBenchmark.p',p20) ).
fof(f23,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/sandbox/benchmark/theBenchmark.p',p23) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24) ).
fof(f26,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
fof(f27,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ( subset(domain_of(X3),X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_13) ).
fof(f28,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ( subset(domain_of(X3),X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f32,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)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
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)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ),
inference(flattening,[],[f32]) ).
fof(f34,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,[],[f4]) ).
fof(f36,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(flattening,[],[f39]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f47,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f48,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(flattening,[],[f48]) ).
fof(f51,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,[],[f20]) ).
fof(f52,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,[],[f51]) ).
fof(f57,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,[],[f23]) ).
fof(f58,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f61,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& subset(domain_of(X3),X1)
& ~ ilf_type(X3,relation_type(X1,X2)) ) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f62,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& subset(domain_of(X3),X1)
& ~ ilf_type(X3,relation_type(X1,X2)) ) ) ) ),
inference(flattening,[],[f61]) ).
fof(f67,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f68,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( ilf_type(sK2(X0,X1),set_type)
& member(sK2(X0,X1),X0)
& ~ member(sK2(X0,X1),X1) )
| subset(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f68]) ).
fof(f73,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) )
& ( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f75,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ member(X0,power_set(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f76,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ member(X0,power_set(X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(rectify,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ member(X0,power_set(X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( ilf_type(sK5(X0,X1),set_type)
& member(sK5(X0,X1),X0)
& ~ member(sK5(X0,X1),X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f76]) ).
fof(f78,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,[],[f52]) ).
fof(f83,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,[],[f58]) ).
fof(f84,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,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ empty(X0)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ) )
& ( ( ilf_type(sK10(X0),set_type)
& member(sK10(X0),X0) )
| empty(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f84]) ).
fof(f86,plain,
( ilf_type(sK11,set_type)
& ilf_type(sK12,set_type)
& ilf_type(sK13,set_type)
& ilf_type(sK14,relation_type(sK11,sK13))
& subset(domain_of(sK14),sK12)
& ~ ilf_type(sK14,relation_type(sK12,sK13)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14)],[f62]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f88,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
inference(cnf_transformation,[],[f31]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f90,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,[],[f34]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f99,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f111,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f113,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f116,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK5(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f117,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f121,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,[],[f78]) ).
fof(f129,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,[],[f57]) ).
fof(f130,plain,
! [X2,X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(X0)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f134,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f138,plain,
ilf_type(sK14,relation_type(sK11,sK13)),
inference(cnf_transformation,[],[f86]) ).
fof(f139,plain,
subset(domain_of(sK14),sK12),
inference(cnf_transformation,[],[f86]) ).
fof(f140,plain,
~ ilf_type(sK14,relation_type(sK12,sK13)),
inference(cnf_transformation,[],[f86]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_50,plain,
! [X0: $i] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_53,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,[],[f90]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(range_of(X0),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_68,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_74,plain,
! [X0: $i] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK5(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_81,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,[],[f121]) ).
tcf(c_90,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,[],[f129]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_95,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f134]) ).
tcf(c_96,negated_conjecture,
~ ilf_type(sK14,relation_type(sK12,sK13)),
inference(cnf_transformation,[],[f140]) ).
tcf(c_97,negated_conjecture,
subset(domain_of(sK14),sK12),
inference(cnf_transformation,[],[f139]) ).
tcf(c_98,negated_conjecture,
ilf_type(sK14,relation_type(sK11,sK13)),
inference(cnf_transformation,[],[f138]) ).
tcf(c_142,plain,
! [X0: $i] : subset(X0,X0),
inference(global_subsumption_just,[status(thm)],[c_74,c_95,c_74]) ).
tcf(c_172,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_95,c_68]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK5(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption_just,[status(thm)],[c_76,c_95,c_76]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] :
( member(X1,power_set(X0))
| member(sK5(X1,X0),X1)
| ~ ilf_type(X0,set_type) ),
inference(renaming,[status(thm)],[c_208]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] :
( member(X1,power_set(X0))
| member(sK5(X1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_209,c_95,c_209]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK5(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_210]) ).
tcf(c_217,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_81,c_95,c_93,c_81]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1) ),
inference(renaming,[status(thm)],[c_217]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_75,c_95,c_75]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_71,c_95,c_71]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ member(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_95,c_64]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(renaming,[status(thm)],[c_242]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_95,c_49]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(renaming,[status(thm)],[c_244]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_95,c_51]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(renaming,[status(thm)],[c_248]) ).
tcf(c_258,plain,
! [X0: $i] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_50,c_172]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_218,c_95]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_243,c_95]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_249,c_95]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_245,c_95]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(range_of(X0),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_95]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ member(sK5(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_220,c_95]) ).
tcf(c_405,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_53,c_95]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_95]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_224,c_95]) ).
tcf(c_410,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_90,c_95]) ).
tcf(c_502,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_410,c_95]) ).
tcf(c_519,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(range_of(X0),X2)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_401,c_95]) ).
tcf(c_564,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_405,c_95]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_406,c_95]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_396,c_95]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_399,c_95]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_398,c_95,c_95]) ).
tcf(c_1048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_575]) ).
tcf(c_1049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(renaming,[status(thm)],[c_1048]) ).
tcf(c_1052,plain,
! [X0: $i,X1: $i] :
( ~ ilf_type(X0,member_type(power_set(X1)))
| ilf_type(X0,subset_type(X1)) ),
inference(prop_impl_just,[status(thm)],[c_408]) ).
tcf(c_1053,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(renaming,[status(thm)],[c_1052]) ).
tcf(c_1062,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(range_of(X0),X2)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_519]) ).
tcf(c_1064,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_502,c_564]) ).
tcf(c_1068,plain,
! [X0: $i] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_258]) ).
tcf(c_1076,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ member(sK5(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_404]) ).
tcf(c_1080,plain,
! [X0: $i,X1: $i] :
( member(sK5(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(prop_impl_just,[status(thm)],[c_211]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK5(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_1080]) ).
tcf(c_1082,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_392]) ).
tcf(c_1718,definition,
iPr_def_10 = relation_type(sK11,sK13),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1719,definition,
iPr_def_11 = domain_of(sK14),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1721,negated_conjecture,
ilf_type(sK14,iPr_def_10),
inference(demodulation,[status(thm)],[c_98,c_1718]) ).
tcf(c_1722,negated_conjecture,
subset(iPr_def_11,sK12),
inference(demodulation,[status(thm)],[c_97,c_1719]) ).
tcf(c_2592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(cross_product(X3,X4),X2)
| ~ subset(X4,X1)
| ~ subset(X3,X0)
| ~ subset(cross_product(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_630,c_601]) ).
tcf(c_2603,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1718,c_1064]) ).
tcf(c_2656,plain,
relation_like(sK14),
inference(superposition,[status(thm)],[c_1721,c_2603]) ).
tcf(c_2708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(cross_product(X4,X5),cross_product(X1,X3))
| ~ subset(X5,X2)
| ~ subset(X4,X0)
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_630,c_2592]) ).
tcf(c_2740,plain,
! [X0: $i] :
( subset(range_of(X0),sK13)
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1718,c_1062]) ).
tcf(c_2752,plain,
( subset(sK14,cross_product(iPr_def_11,range_of(sK14)))
| ~ relation_like(sK14) ),
inference(superposition,[status(thm)],[c_1719,c_1068]) ).
tcf(c_2756,plain,
subset(sK14,cross_product(iPr_def_11,range_of(sK14))),
inference(forward_subsumption_resolution,[status(thm)],[c_2752,c_2656]) ).
tcf(c_2785,plain,
! [X0: $i] :
( subset(sK14,X0)
| ~ subset(cross_product(iPr_def_11,range_of(sK14)),X0) ),
inference(superposition,[status(thm)],[c_2756,c_601]) ).
tcf(c_2888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cross_product(X3,X2),cross_product(sK12,X1))
| ~ subset(X3,iPr_def_11)
| ~ subset(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1722,c_2708]) ).
tcf(c_3855,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(cross_product(X2,X0),cross_product(sK12,sK13))
| ~ ilf_type(X1,iPr_def_10)
| ~ subset(X2,iPr_def_11)
| ~ subset(X0,range_of(X1)) ),
inference(superposition,[status(thm)],[c_2740,c_2888]) ).
tcf(c_3887,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ member(X0,power_set(X1)) ),
inference(superposition,[status(thm)],[c_1082,c_1053]) ).
tcf(c_6987,plain,
! [X0: $i,X1: $i] :
( subset(cross_product(X0,range_of(X1)),cross_product(sK12,sK13))
| ~ ilf_type(X1,iPr_def_10)
| ~ subset(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_142,c_3855]) ).
tcf(c_8082,plain,
! [X0: $i,X1: $i] :
( ilf_type(sK14,relation_type(X0,X1))
| ~ ilf_type(sK14,subset_type(cross_product(X0,X1))) ),
inference(instantiation,[status(thm)],[c_1049]) ).
tcf(c_76585,plain,
( ilf_type(sK14,relation_type(sK12,sK13))
| ~ ilf_type(sK14,subset_type(cross_product(sK12,sK13))) ),
inference(instantiation,[status(thm)],[c_8082]) ).
tcf(c_76638,plain,
( subset(sK14,cross_product(sK12,sK13))
| ~ ilf_type(sK14,iPr_def_10)
| ~ subset(iPr_def_11,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6987,c_2785]) ).
tcf(c_76649,plain,
subset(sK14,cross_product(sK12,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_76638,c_1721,c_142]) ).
tcf(c_77720,plain,
! [X0: $i] :
( member(X0,cross_product(sK12,sK13))
| ~ member(X0,sK14) ),
inference(superposition,[status(thm)],[c_76649,c_587]) ).
tcf(c_77932,plain,
! [X0: $i] :
( member(X0,power_set(cross_product(sK12,sK13)))
| ~ member(sK5(X0,cross_product(sK12,sK13)),sK14) ),
inference(superposition,[status(thm)],[c_77720,c_1076]) ).
tcf(c_81539,plain,
member(sK14,power_set(cross_product(sK12,sK13))),
inference(superposition,[status(thm)],[c_1081,c_77932]) ).
tcf(c_81545,plain,
ilf_type(sK14,subset_type(cross_product(sK12,sK13))),
inference(superposition,[status(thm)],[c_81539,c_3887]) ).
tcf(c_81550,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_81545,c_76585,c_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET651+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 11:33:51 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.43 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 15.98/3.18 % SZS status Started for theBenchmark.p
% 15.98/3.18 % SZS status Theorem for theBenchmark.p
% 15.98/3.18
% 15.98/3.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.98/3.18
% 15.98/3.18 % ------ iProver source info
% 15.98/3.18
% 15.98/3.18 % git: date: 2026-07-19 20:42:38 +0200
% 15.98/3.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.98/3.18 % git: non_committed_changes: false
% 15.98/3.18
% 15.98/3.18 % ------ Parsing...
% 15.98/3.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.98/3.18
% 15.98/3.18 % ------ 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 %
% 15.98/3.18
% 15.98/3.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.98/3.18
% 15.98/3.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.98/3.18 % ------ Proving...
% 15.98/3.18 % ------ Problem Properties
% 15.98/3.18
% 15.98/3.18 %
% 15.98/3.18 % clauses 41
% 15.98/3.18 % conjectures 3
% 15.98/3.18 % EPR 12
% 15.98/3.18 % Horn 35
% 15.98/3.18 % unary 12
% 15.98/3.18 % binary 21
% 15.98/3.18 % lits 78
% 15.98/3.18 % lits eq 5
% 15.98/3.18 % fd_pure 0
% 15.98/3.18 % fd_pseudo 0
% 15.98/3.18 % fd_cond 0
% 15.98/3.18 % fd_pseudo_cond 0
% 15.98/3.18 % AC symbols 0
% 15.98/3.18
% 15.98/3.18 % ------ Schedule dynamic 5 is on
% 15.98/3.18
% 15.98/3.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.98/3.18
% 15.98/3.18
% 15.98/3.18 % ------
% 15.98/3.18 % Current options:
% 15.98/3.18 % ------
% 15.98/3.18
% 15.98/3.18
% 15.98/3.18 %
% 15.98/3.18
% 15.98/3.18 % ------ Proving...
% 15.98/3.18 %
% 15.98/3.18
% 15.98/3.18 % SZS status Theorem for theBenchmark.p
% 15.98/3.18
% 15.98/3.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.98/3.18
% 15.98/3.18
%------------------------------------------------------------------------------