%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET657+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 : 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 02:47:42 PM UTC 2026
% Result : Theorem 3.97s 1.63s
% Output : CNFRefutation 3.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f180ERROR: Could not build tree for root c_6207ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(union(X0,X2),union(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> field_of(X0) = union(domain_of(X0),range_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
fof(f7,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',p7) ).
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(f16,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',p16) ).
fof(f21,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',p21) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f23,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',p23) ).
fof(f27,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',p27) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).
fof(f34,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34) ).
fof(f35,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35) ).
fof(f36,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36) ).
fof(f37,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37) ).
fof(f38,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> subset(field_of(X2),union(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_19) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> subset(field_of(X2),union(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f40,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(union(X0,X2),union(X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f41,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(union(X0,X2),union(X1,X3)) ) ) ) ),
inference(flattening,[],[f40]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| field_of(X0) = union(domain_of(X0),range_of(X0)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,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,[],[f7]) ).
fof(f49,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(f50,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,[],[f49]) ).
fof(f56,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,[],[f16]) ).
fof(f62,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,[],[f21]) ).
fof(f63,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,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f65,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,[],[f23]) ).
fof(f66,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,[],[f65]) ).
fof(f72,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,[],[f27]) ).
fof(f79,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f80,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f81,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f82,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f83,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ~ subset(field_of(X2),union(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f87,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,[],[f50]) ).
fof(f88,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,[],[f87]) ).
fof(f89,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(sK1(X0,X1),set_type)
& member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) )
| subset(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f88]) ).
fof(f93,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,[],[f56]) ).
fof(f95,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,[],[f63]) ).
fof(f96,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,[],[f95]) ).
fof(f97,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(sK4(X0,X1),set_type)
& member(sK4(X0,X1),X0)
& ~ member(sK4(X0,X1),X1) )
| member(X0,power_set(X1)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f96]) ).
fof(f98,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,[],[f66]) ).
fof(f110,plain,
( ilf_type(sK11,set_type)
& ilf_type(sK12,set_type)
& ilf_type(sK13,relation_type(sK11,sK12))
& ~ subset(field_of(sK13),union(sK11,sK12)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f83]) ).
fof(f111,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(union(X0,X2),union(X1,X3)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f117,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| field_of(X0) = union(domain_of(X0),range_of(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f119,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,[],[f47]) ).
fof(f124,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f125,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f134,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) ),
inference(cnf_transformation,[],[f93]) ).
fof(f140,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f145,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f146,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,member_type(X1))
| member(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f160,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,[],[f72]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(domain(X0,X1,X2),subset_type(X0)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f172,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f37]) ).
fof(f175,plain,
ilf_type(sK13,relation_type(sK11,sK12)),
inference(cnf_transformation,[],[f110]) ).
fof(f176,plain,
~ subset(field_of(sK13),union(sK11,sK12)),
inference(cnf_transformation,[],[f110]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(union(X0,X2),union(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,[],[f111]) ).
tcf(c_55,plain,
! [X0: $i] :
( ( union(domain_of(X0),range_of(X0)) = field_of(X0) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_58,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,[],[f119]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_68,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,subset_type(X1)) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_79,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)
| ~ member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_80,plain,
! [X0: $i] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_96,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,[],[f160]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(domain(X1,X2,X0),subset_type(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(range(X1,X2,X0),subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_108,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f172]) ).
tcf(c_109,negated_conjecture,
~ subset(field_of(sK13),union(sK11,sK12)),
inference(cnf_transformation,[],[f176]) ).
tcf(c_110,negated_conjecture,
ilf_type(sK13,relation_type(sK11,sK12)),
inference(cnf_transformation,[],[f175]) ).
tcf(c_169,plain,
! [X0: $i] : ~ empty(power_set(X0)),
inference(global_subsumption_just,[status(thm)],[c_80,c_108,c_80]) ).
tcf(c_193,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_108,c_68]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_108,c_61]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( subset(X1,X0)
| member(sK1(X1,X0),X1)
| ~ ilf_type(X0,set_type) ),
inference(renaming,[status(thm)],[c_230]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i] :
( subset(X1,X0)
| member(sK1(X1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_231,c_108,c_231]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_232]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ member(sK1(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_108,c_60]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_83,c_108,c_83]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,subset_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_72,c_108,c_72]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| ~ member(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_79,c_108,c_79]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(renaming,[status(thm)],[c_283]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(union(X0,X2),union(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_49,c_108,c_49]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(union(X0,X2),union(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_287]) ).
tcf(c_297,plain,
! [X0: $i] :
( ( union(domain_of(X0),range_of(X0)) = field_of(X0) )
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_55,c_193]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_284,c_108]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_258,c_108]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_249,c_108]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_251,c_108]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_106,c_108]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_104,c_108]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(union(X0,X2),union(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_288,c_108]) ).
tcf(c_467,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_58,c_108]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(range(X1,X2,X0),subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_107,c_108]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(domain(X1,X2,X0),subset_type(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_105,c_108]) ).
tcf(c_471,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_96,c_108]) ).
tcf(c_584,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_471,c_108]) ).
tcf(c_624,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_467,c_108]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(range(X1,X2,X0),subset_type(X2))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_469,c_108]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(domain(X1,X2,X0),subset_type(X1))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_470,c_108]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_462,c_108]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_465,c_108]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_447,c_108]) ).
tcf(c_765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(union(X0,X2),union(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_466,c_108,c_108]) ).
tcf(c_1217,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_457]) ).
tcf(c_1219,plain,
! [X0: $i,X1: $i] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_458]) ).
tcf(c_1220,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1) ),
inference(renaming,[status(thm)],[c_1219]) ).
tcf(c_1221,plain,
! [X0: $i,X1: $i] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_233]) ).
tcf(c_1222,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_1221]) ).
tcf(c_1233,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_584,c_624]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_679]) ).
tcf(c_1237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(domain(X1,X2,X0),subset_type(X1))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_657]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_668]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(range(X1,X2,X0),subset_type(X2))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_646]) ).
tcf(c_1245,plain,
! [X0: $i] :
( ( union(domain_of(X0),range_of(X0)) = field_of(X0) )
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_297]) ).
tcf(c_1959,definition,
iPr_def_10 = relation_type(sK11,sK12),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1960,definition,
iPr_def_11 = field_of(sK13),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1961,definition,
iPr_def_12 = union(sK11,sK12),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1962,negated_conjecture,
ilf_type(sK13,iPr_def_10),
inference(demodulation,[status(thm)],[c_110,c_1959]) ).
tcf(c_1963,negated_conjecture,
~ subset(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_109,c_1961,c_1960]) ).
tcf(c_2884,plain,
! [X0: $i,X1: $i] :
( subset(union(X0,X1),iPr_def_12)
| ~ subset(X1,sK12)
| ~ subset(X0,sK11) ),
inference(superposition,[status(thm)],[c_1961,c_765]) ).
tcf(c_2961,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1959,c_1233]) ).
tcf(c_2997,plain,
relation_like(sK13),
inference(superposition,[status(thm)],[c_1962,c_2961]) ).
tcf(c_3094,plain,
! [X0: $i,X1: $i] :
( empty(power_set(X1))
| member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(superposition,[status(thm)],[c_1217,c_460]) ).
tcf(c_3095,plain,
! [X0: $i,X1: $i] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3094,c_169]) ).
tcf(c_3262,plain,
union(domain_of(sK13),range_of(sK13)) = field_of(sK13),
inference(superposition,[status(thm)],[c_2997,c_1245]) ).
tcf(c_3263,plain,
union(domain_of(sK13),range_of(sK13)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3262,c_1960]) ).
tcf(c_3287,plain,
( subset(iPr_def_11,iPr_def_12)
| ~ subset(range_of(sK13),sK12)
| ~ subset(domain_of(sK13),sK11) ),
inference(superposition,[status(thm)],[c_3263,c_2884]) ).
tcf(c_3306,plain,
( ~ subset(range_of(sK13),sK12)
| ~ subset(domain_of(sK13),sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3287,c_1963]) ).
tcf(c_3490,plain,
! [X0: $i] :
( ( domain(sK11,sK12,X0) = domain_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1959,c_1235]) ).
tcf(c_3500,plain,
! [X0: $i] :
( ( range(sK11,sK12,X0) = range_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1959,c_1239]) ).
tcf(c_5519,plain,
domain(sK11,sK12,sK13) = domain_of(sK13),
inference(superposition,[status(thm)],[c_1962,c_3490]) ).
tcf(c_5522,plain,
( ilf_type(domain_of(sK13),subset_type(sK11))
| ~ ilf_type(sK13,relation_type(sK11,sK12)) ),
inference(superposition,[status(thm)],[c_5519,c_1237]) ).
tcf(c_5523,plain,
( ilf_type(domain_of(sK13),subset_type(sK11))
| ~ ilf_type(sK13,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_5522,c_1959]) ).
tcf(c_5524,plain,
ilf_type(domain_of(sK13),subset_type(sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_5523,c_1962]) ).
tcf(c_5525,plain,
member(domain_of(sK13),power_set(sK11)),
inference(superposition,[status(thm)],[c_5524,c_3095]) ).
tcf(c_5528,plain,
! [X0: $i] :
( member(X0,sK11)
| ~ member(X0,domain_of(sK13)) ),
inference(superposition,[status(thm)],[c_5525,c_705]) ).
tcf(c_5578,plain,
! [X0: $i] :
( subset(domain_of(sK13),X0)
| member(sK1(domain_of(sK13),X0),sK11) ),
inference(superposition,[status(thm)],[c_1222,c_5528]) ).
tcf(c_5735,plain,
subset(domain_of(sK13),sK11),
inference(superposition,[status(thm)],[c_5578,c_1220]) ).
tcf(c_5747,plain,
~ subset(range_of(sK13),sK12),
inference(backward_subsumption_resolution,[status(thm)],[c_3306,c_5735]) ).
tcf(c_6018,plain,
range(sK11,sK12,sK13) = range_of(sK13),
inference(superposition,[status(thm)],[c_1962,c_3500]) ).
tcf(c_6036,plain,
( ilf_type(range_of(sK13),subset_type(sK12))
| ~ ilf_type(sK13,relation_type(sK11,sK12)) ),
inference(superposition,[status(thm)],[c_6018,c_1241]) ).
tcf(c_6037,plain,
( ilf_type(range_of(sK13),subset_type(sK12))
| ~ ilf_type(sK13,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_6036,c_1959]) ).
tcf(c_6038,plain,
ilf_type(range_of(sK13),subset_type(sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_6037,c_1962]) ).
tcf(c_6039,plain,
member(range_of(sK13),power_set(sK12)),
inference(superposition,[status(thm)],[c_6038,c_3095]) ).
tcf(c_6042,plain,
! [X0: $i] :
( member(X0,sK12)
| ~ member(X0,range_of(sK13)) ),
inference(superposition,[status(thm)],[c_6039,c_705]) ).
tcf(c_6098,plain,
! [X0: $i] :
( subset(range_of(sK13),X0)
| member(sK1(range_of(sK13),X0),sK12) ),
inference(superposition,[status(thm)],[c_1222,c_6042]) ).
tcf(c_6205,plain,
subset(range_of(sK13),sK12),
inference(superposition,[status(thm)],[c_6098,c_1220]) ).
tcf(c_6207,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6205,c_5747]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET657+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 11:37:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 3.97/1.63 % SZS status Started for theBenchmark.p
% 3.97/1.63 % SZS status Theorem for theBenchmark.p
% 3.97/1.63
% 3.97/1.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.97/1.63
% 3.97/1.63 % ------ iProver source info
% 3.97/1.63
% 3.97/1.63 % git: date: 2026-07-19 20:42:38 +0200
% 3.97/1.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.97/1.63 % git: non_committed_changes: false
% 3.97/1.63
% 3.97/1.63 % ------ Parsing...
% 3.97/1.63 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.97/1.63
% 3.97/1.63 % ------ 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 %
% 3.97/1.63
% 3.97/1.63 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.97/1.63
% 3.97/1.63 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.97/1.63 % ------ Proving...
% 3.97/1.63 % ------ Problem Properties
% 3.97/1.63
% 3.97/1.63 %
% 3.97/1.63 % clauses 47
% 3.97/1.63 % conjectures 2
% 3.97/1.63 % EPR 10
% 3.97/1.63 % Horn 39
% 3.97/1.63 % unary 12
% 3.97/1.63 % binary 25
% 3.97/1.63 % lits 92
% 3.97/1.63 % lits eq 12
% 3.97/1.63 % fd_pure 0
% 3.97/1.63 % fd_pseudo 0
% 3.97/1.63 % fd_cond 0
% 3.97/1.63 % fd_pseudo_cond 2
% 3.97/1.63 % AC symbols 0
% 3.97/1.63
% 3.97/1.63 % ------ Schedule dynamic 5 is on
% 3.97/1.63
% 3.97/1.63 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.97/1.63
% 3.97/1.63
% 3.97/1.63 % ------
% 3.97/1.63 % Current options:
% 3.97/1.63 % ------
% 3.97/1.63
% 3.97/1.63
% 3.97/1.63 %
% 3.97/1.63
% 3.97/1.63 % ------ Proving...
% 3.97/1.63 %
% 3.97/1.63
% 3.97/1.63 % SZS status Theorem for theBenchmark.p
% 3.97/1.63
% 3.97/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.97/1.63
% 3.97/1.63
%------------------------------------------------------------------------------