%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET652+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 : n020.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 02:47:42 PM UTC 2026
% Result : Theorem 18.98s 3.33s
% Output : CNFRefutation 18.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f121ERROR: Could not build tree for root c_88962ERROR: 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(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(X2,X0))
=> ( subset(range_of(X3),X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_14) ).
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(X2,X0))
=> ( subset(range_of(X3),X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
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)
& ? [X3] :
( ilf_type(X3,relation_type(X2,X0))
& subset(range_of(X3),X1)
& ~ ilf_type(X3,relation_type(X2,X1)) ) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,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(X2,X0))
& subset(range_of(X3),X1)
& ~ ilf_type(X3,relation_type(X2,X1)) ) ) ) ),
inference(flattening,[],[f29]) ).
fof(f32,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(f33,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,[],[f32]) ).
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)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
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)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ),
inference(flattening,[],[f34]) ).
fof(f36,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(f37,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,[],[f36]) ).
fof(f39,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(f41,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(f42,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f43,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(f47,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f49,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(f53,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(f54,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,[],[f53]) ).
fof(f57,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(f58,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,[],[f57]) ).
fof(f59,plain,
( ilf_type(sK0,set_type)
& ilf_type(sK1,set_type)
& ilf_type(sK2,set_type)
& ilf_type(sK3,relation_type(sK2,sK0))
& subset(range_of(sK3),sK1)
& ~ ilf_type(sK3,relation_type(sK2,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f30]) ).
fof(f60,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,[],[f33]) ).
fof(f61,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,[],[f60]) ).
fof(f62,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(sK4(X0,X1),set_type)
& member(sK4(X0,X1),X0)
& ~ member(sK4(X0,X1),X1) )
| subset(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f61]) ).
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,[],[f42]) ).
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(f71,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,[],[f49]) ).
fof(f72,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,[],[f54]) ).
fof(f73,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,[],[f72]) ).
fof(f74,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(sK9(X0,X1),set_type)
& member(sK9(X0,X1),X0)
& ~ member(sK9(X0,X1),X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f73]) ).
fof(f76,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,[],[f58]) ).
fof(f80,plain,
ilf_type(sK3,relation_type(sK2,sK0)),
inference(cnf_transformation,[],[f59]) ).
fof(f81,plain,
subset(range_of(sK3),sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f82,plain,
~ ilf_type(sK3,relation_type(sK2,sK1)),
inference(cnf_transformation,[],[f59]) ).
fof(f83,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f85,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,[],[f62]) ).
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,[],[f35]) ).
fof(f90,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,[],[f37]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| subset(domain_of(X2),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f95,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,[],[f41]) ).
fof(f96,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,[],[f41]) ).
fof(f97,plain,
! [X2,X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(X0)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f100,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,[],[f43]) ).
fof(f107,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
inference(cnf_transformation,[],[f47]) ).
fof(f110,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,[],[f71]) ).
fof(f116,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK9(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f117,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK9(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f120,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,[],[f76]) ).
tcf(c_49,negated_conjecture,
~ ilf_type(sK3,relation_type(sK2,sK1)),
inference(cnf_transformation,[],[f82]) ).
tcf(c_50,negated_conjecture,
subset(range_of(sK3),sK1),
inference(cnf_transformation,[],[f81]) ).
tcf(c_51,negated_conjecture,
ilf_type(sK3,relation_type(sK2,sK0)),
inference(cnf_transformation,[],[f80]) ).
tcf(c_55,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f83]) ).
tcf(c_60,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,[],[f85]) ).
tcf(c_61,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_62,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,[],[f90]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(domain_of(X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_67,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,[],[f96]) ).
tcf(c_68,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,[],[f95]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_72,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,[],[f100]) ).
tcf(c_75,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_78,plain,
! [X0: $i] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_80,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,[],[f110]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_90,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,[],[f120]) ).
tcf(c_140,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption_just,[status(thm)],[c_75,c_55,c_75]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_55,c_86]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] :
( member(X1,power_set(X0))
| member(sK9(X1,X0),X1)
| ~ ilf_type(X0,set_type) ),
inference(renaming,[status(thm)],[c_177]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i] :
( member(X1,power_set(X0))
| member(sK9(X1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_178,c_55,c_178]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_179]) ).
tcf(c_186,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_90,c_55,c_71,c_90]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1) ),
inference(renaming,[status(thm)],[c_186]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ member(sK9(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_85,c_55,c_85]) ).
tcf(c_193,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_80,c_55,c_80]) ).
tcf(c_195,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_62,c_55,c_62]) ).
tcf(c_196,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_195]) ).
tcf(c_197,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_60,c_55,c_60]) ).
tcf(c_198,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_197]) ).
tcf(c_201,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_61,c_55,c_61]) ).
tcf(c_202,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_201]) ).
tcf(c_223,plain,
! [X0: $i] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_78,c_140]) ).
tcf(c_319,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_68,c_55]) ).
tcf(c_320,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_67,c_55]) ).
tcf(c_323,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_193,c_55]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(domain_of(X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_64,c_55]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ member(sK9(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_189,c_55]) ).
tcf(c_328,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_202,c_55]) ).
tcf(c_329,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_72,c_55]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_187,c_55]) ).
tcf(c_332,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_198,c_55]) ).
tcf(c_333,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_196,c_55]) ).
tcf(c_422,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_329,c_55]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(domain_of(X0),X1)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_326,c_55]) ).
tcf(c_455,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_319,c_55]) ).
tcf(c_466,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_320,c_55]) ).
tcf(c_478,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_332,c_55]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_333,c_55]) ).
tcf(c_521,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_328,c_55,c_55]) ).
tcf(c_675,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_466]) ).
tcf(c_676,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_675]) ).
tcf(c_679,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_323]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(renaming,[status(thm)],[c_679]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(domain_of(X0),X1)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_444]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_422,c_455]) ).
tcf(c_703,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_330]) ).
tcf(c_707,plain,
! [X0: $i] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_223]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ member(sK9(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_327]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i] :
( member(sK9(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(prop_impl_just,[status(thm)],[c_180]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_717]) ).
tcf(c_1046,plain,
( relation_like(sK3)
| ~ ilf_type(sK3,relation_type(sK2,sK0)) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1051,plain,
( subset(domain_of(sK3),sK2)
| ~ ilf_type(sK3,relation_type(sK2,sK0)) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_1069,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ member(X0,power_set(X1)) ),
inference(instantiation,[status(thm)],[c_703]) ).
tcf(c_1076,plain,
( subset(sK3,cross_product(domain_of(sK3),range_of(sK3)))
| ~ relation_like(sK3) ),
inference(instantiation,[status(thm)],[c_707]) ).
tcf(c_1100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X0,member_type(power_set(cross_product(X1,X2)))) ),
inference(instantiation,[status(thm)],[c_680]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,member_type(power_set(cross_product(X1,X2))))
| ~ member(X0,power_set(cross_product(X1,X2))) ),
inference(instantiation,[status(thm)],[c_1069]) ).
tcf(c_1221,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,power_set(cross_product(X1,X2)))
| member(sK9(X0,cross_product(X1,X2)),X0) ),
inference(instantiation,[status(thm)],[c_718]) ).
tcf(c_1222,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,power_set(cross_product(X1,X2)))
| ~ member(sK9(X0,cross_product(X1,X2)),cross_product(X1,X2)) ),
inference(instantiation,[status(thm)],[c_713]) ).
tcf(c_1308,plain,
( ilf_type(sK3,relation_type(sK2,sK1))
| ~ ilf_type(sK3,subset_type(cross_product(sK2,sK1))) ),
inference(instantiation,[status(thm)],[c_676]) ).
tcf(c_1792,plain,
( ilf_type(sK3,subset_type(cross_product(sK2,sK1)))
| ~ ilf_type(sK3,member_type(power_set(cross_product(sK2,sK1)))) ),
inference(instantiation,[status(thm)],[c_1100]) ).
tcf(c_2878,plain,
( ilf_type(sK3,member_type(power_set(cross_product(sK2,sK1))))
| ~ member(sK3,power_set(cross_product(sK2,sK1))) ),
inference(instantiation,[status(thm)],[c_1159]) ).
tcf(c_5430,plain,
( member(sK3,power_set(cross_product(sK2,sK1)))
| ~ member(sK9(sK3,cross_product(sK2,sK1)),cross_product(sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_1222]) ).
tcf(c_5431,plain,
( member(sK3,power_set(cross_product(sK2,sK1)))
| member(sK9(sK3,cross_product(sK2,sK1)),sK3) ),
inference(instantiation,[status(thm)],[c_1221]) ).
tcf(c_13233,plain,
! [X0: $i] :
( member(sK9(sK3,cross_product(sK2,sK1)),cross_product(sK2,sK1))
| ~ subset(X0,cross_product(sK2,sK1))
| ~ member(sK9(sK3,cross_product(sK2,sK1)),X0) ),
inference(instantiation,[status(thm)],[c_478]) ).
tcf(c_25484,plain,
! [X0: $i,X1: $i] :
( subset(X1,cross_product(sK2,sK1))
| ~ subset(X1,X0)
| ~ subset(X0,cross_product(sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_492]) ).
tcf(c_32448,plain,
( member(sK9(sK3,cross_product(sK2,sK1)),cross_product(sK2,sK1))
| ~ subset(sK3,cross_product(sK2,sK1))
| ~ member(sK9(sK3,cross_product(sK2,sK1)),sK3) ),
inference(instantiation,[status(thm)],[c_13233]) ).
tcf(c_56952,plain,
! [X0: $i] :
( subset(sK3,cross_product(sK2,sK1))
| ~ subset(sK3,X0)
| ~ subset(X0,cross_product(sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_25484]) ).
tcf(c_69448,plain,
( subset(sK3,cross_product(sK2,sK1))
| ~ subset(sK3,cross_product(domain_of(sK3),range_of(sK3)))
| ~ subset(cross_product(domain_of(sK3),range_of(sK3)),cross_product(sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_56952]) ).
tcf(c_88961,plain,
( subset(cross_product(domain_of(sK3),range_of(sK3)),cross_product(sK2,sK1))
| ~ subset(domain_of(sK3),sK2)
| ~ subset(range_of(sK3),sK1) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_88962,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_88961,c_69448,c_32448,c_5430,c_5431,c_2878,c_1792,c_1308,c_1076,c_1051,c_1046,c_49,c_51,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET652+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Thu Sep 24 11:35:04 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 0.13/0.44
% 0.13/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.44
% 0.13/0.45 % Detected problem language: tptp
% 0.13/0.46 % Proving...
% 18.98/3.33 % SZS status Started for theBenchmark.p
% 18.98/3.33 % SZS status Theorem for theBenchmark.p
% 18.98/3.33
% 18.98/3.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.98/3.33
% 18.98/3.33 % ------ iProver source info
% 18.98/3.33
% 18.98/3.33 % git: date: 2026-07-19 20:42:38 +0200
% 18.98/3.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.98/3.33 % git: non_committed_changes: false
% 18.98/3.33
% 18.98/3.33 % ------ Parsing...
% 18.98/3.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.98/3.33
% 18.98/3.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 18.98/3.33
% 18.98/3.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 18.98/3.33 % ------ Proving...
% 18.98/3.33 % ------ Problem Properties
% 18.98/3.33
% 18.98/3.33 %
% 18.98/3.33 % clauses 32
% 18.98/3.33 % conjectures 3
% 18.98/3.33 % EPR 8
% 18.98/3.33 % Horn 27
% 18.98/3.33 % unary 8
% 18.98/3.33 % binary 19
% 18.98/3.33 % lits 61
% 18.98/3.33 % lits eq 0
% 18.98/3.33 % fd_pure 0
% 18.98/3.33 % fd_pseudo 0
% 18.98/3.33 % fd_cond 0
% 18.98/3.33 % fd_pseudo_cond 0
% 18.98/3.33 % AC symbols 0
% 18.98/3.33
% 18.98/3.33 % ------ Schedule dynamic 5 is on
% 18.98/3.33
% 18.98/3.33 % ------ no equalities: superposition off
% 18.98/3.33
% 18.98/3.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.98/3.33
% 18.98/3.33
% 18.98/3.33 % ------
% 18.98/3.33 % Current options:
% 18.98/3.33 % ------
% 18.98/3.33
% 18.98/3.33
% 18.98/3.33 %
% 18.98/3.33
% 18.98/3.33 % ------ Proving...
% 18.98/3.33 %
% 18.98/3.33
% 18.98/3.33 % SZS status Theorem for theBenchmark.p
% 18.98/3.33
% 18.98/3.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.98/3.33
% 18.98/3.33
%------------------------------------------------------------------------------