%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU182+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 02:55:47 PM UTC 2026
% Result : Theorem 80.12s 16.93s
% Output : CNFRefutation 80.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 12 unt; 0 def)
% Number of atoms : 258 ( 25 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 326 ( 130 ~; 134 |; 40 &)
% ( 10 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-4 aty)
% Number of variables : 168 ( 0 sgn 146 !; 22 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f18,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f24,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f28,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f48,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f104,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f129,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_relat_1) ).
fof(f130,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f129]) ).
fof(f146,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f175,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f176,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f181,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f187,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f188,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(flattening,[],[f187]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ),
inference(flattening,[],[f229]) ).
fof(f247,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& ~ subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
inference(ennf_transformation,[],[f130]) ).
fof(f307,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f175]) ).
fof(f308,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f307]) ).
fof(f309,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK16(X0,X1),X0)
& ~ in(sK16(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f308]) ).
fof(f314,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) )
& ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(nnf_transformation,[],[f176]) ).
fof(f315,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) )
& ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] : in(ordered_pair(X2,X4),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(rectify,[],[f314]) ).
fof(f316,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| in(ordered_pair(X5,sK20(X0,X5)),X0) )
& ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ) ) )
& ( ( ( in(sK18(X0,X1),X1)
| in(ordered_pair(sK18(X0,X1),sK19(X0,X1)),X0) )
& ( ~ in(sK18(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(sK18(X0,X1),X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X2,sK18(X0,X1)),skolemize(X4,sK19(X0,X1)),skolemize(X7,sK20(X0,X5))],[f315]) ).
fof(f331,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_composition(X0,X1) != X2
| ! [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X2)
| ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) )
& ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ? [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) )
& ( ~ in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) ) )
| X2 = relation_composition(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f181]) ).
fof(f332,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_composition(X0,X1) != X2
| ! [X7,X8] :
( ( ~ in(ordered_pair(X7,X8),X2)
| ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) ) )
& ( ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) )
| in(ordered_pair(X7,X8),X2) ) ) )
& ( ? [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) ) )
& ( ~ in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) ) )
| X2 = relation_composition(X0,X1) ) ) ) ) ),
inference(rectify,[],[f331]) ).
fof(f333,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_composition(X0,X1) != X2
| ! [X7,X8] :
( ( ~ in(ordered_pair(X7,X8),X2)
| ( in(ordered_pair(sK33(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK33(X0,X1,X7,X8)),X0) ) )
& ( ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) )
| in(ordered_pair(X7,X8),X2) ) ) )
& ( ( ( in(ordered_pair(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2)
| ( in(ordered_pair(sK32(X0,X1,X2),sK31(X0,X1,X2)),X1)
& in(ordered_pair(sK30(X0,X1,X2),sK32(X0,X1,X2)),X0) ) )
& ( ~ in(ordered_pair(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,sK31(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK30(X0,X1,X2),X5),X0) ) ) )
| X2 = relation_composition(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33]),skolemize(X3,sK30(X0,X1,X2)),skolemize(X4,sK31(X0,X1,X2)),skolemize(X6,sK32(X0,X1,X2)),skolemize(X10,sK33(X0,X1,X7,X8))],[f332]) ).
fof(f365,plain,
( relation(sK45)
& relation(sK46)
& ~ subset(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X0,sK45),skolemize(X1,sK46)],[f247]) ).
fof(f424,plain,
! [X0,X1] :
( in(sK16(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
fof(f425,plain,
! [X0,X1] :
( ~ in(sK16(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
fof(f432,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_dom(X0) != X1
| ~ in(X5,X1)
| in(ordered_pair(X5,sK20(X0,X5)),X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f454,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f463,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(X2)
| relation_composition(X0,X1) != X2
| ~ in(ordered_pair(X7,X8),X2)
| in(ordered_pair(X7,sK33(X0,X1,X7,X8)),X0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f477,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(cnf_transformation,[],[f188]) ).
fof(f548,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| in(X0,relation_dom(X2)) ),
inference(cnf_transformation,[],[f230]) ).
fof(f588,plain,
relation(sK45),
inference(cnf_transformation,[],[f365]) ).
fof(f589,plain,
relation(sK46),
inference(cnf_transformation,[],[f365]) ).
fof(f590,plain,
~ subset(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),
inference(cnf_transformation,[],[f365]) ).
fof(f608,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f146]) ).
fof(f625,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f454,f608]) ).
fof(f646,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_dom(X0) != X1
| ~ in(X5,X1)
| in(unordered_pair(unordered_pair(X5,sK20(X0,X5)),unordered_pair(X5,X5)),X0) ),
inference(definition_unfolding,[],[f432,f625]) ).
fof(f661,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(X2)
| relation_composition(X0,X1) != X2
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),X2)
| in(unordered_pair(unordered_pair(X7,sK33(X0,X1,X7,X8)),unordered_pair(X7,X7)),X0) ),
inference(definition_unfolding,[],[f463,f625,f625]) ).
fof(f685,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_dom(X2)) ),
inference(definition_unfolding,[],[f548,f625]) ).
fof(f739,plain,
! [X0,X5] :
( ~ relation(X0)
| ~ in(X5,relation_dom(X0))
| in(unordered_pair(unordered_pair(X5,sK20(X0,X5)),unordered_pair(X5,X5)),X0) ),
inference(equality_resolution,[],[f646]) ).
fof(f751,plain,
! [X0,X1,X8,X7] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| in(unordered_pair(unordered_pair(X7,sK33(X0,X1,X7,X8)),unordered_pair(X7,X7)),X0) ),
inference(equality_resolution,[],[f661]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(sK16(X0,X1),X1) ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK16(X0,X1),X0) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(X0,sK20(X1,X0)),unordered_pair(X0,X0)),X1)
| ~ relation(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f739]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(unordered_pair(unordered_pair(X0,sK33(X2,X3,X0,X1)),unordered_pair(X0,X0)),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(relation_composition(X2,X3))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(X2,X3)) ),
inference(cnf_transformation,[],[f751]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2) ),
inference(cnf_transformation,[],[f685]) ).
tcf(c_266,negated_conjecture,
~ subset(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),
inference(cnf_transformation,[],[f590]) ).
tcf(c_267,negated_conjecture,
relation(sK46),
inference(cnf_transformation,[],[f589]) ).
tcf(c_268,negated_conjecture,
relation(sK45),
inference(cnf_transformation,[],[f588]) ).
tcf(c_562,plain,
! [X0: $i] :
( relation(relation_composition(sK45,X0))
| ~ relation(sK45)
| ~ relation(X0) ),
inference(instantiation,[status(thm)],[c_155]) ).
tcf(c_585,plain,
( subset(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45))
| ~ in(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),relation_dom(sK45)) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_586,plain,
( subset(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45))
| in(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),relation_dom(relation_composition(sK45,sK46))) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_798,plain,
! [X0: $i,X1: $i] :
( in(X0,relation_dom(sK45))
| ~ relation(sK45)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK45) ),
inference(instantiation,[status(thm)],[c_225]) ).
tcf(c_2550,plain,
( in(unordered_pair(unordered_pair(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK20(relation_composition(sK45,sK46),sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)))),unordered_pair(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)))),relation_composition(sK45,sK46))
| ~ relation(relation_composition(sK45,sK46))
| ~ in(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),relation_dom(relation_composition(sK45,sK46))) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_6635,plain,
( relation(relation_composition(sK45,sK46))
| ~ relation(sK46)
| ~ relation(sK45) ),
inference(instantiation,[status(thm)],[c_562]) ).
tcf(c_10210,plain,
( in(unordered_pair(unordered_pair(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK33(sK45,sK46,sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK20(relation_composition(sK45,sK46),sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45))))),unordered_pair(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)))),sK45)
| ~ relation(sK46)
| ~ relation(sK45)
| ~ relation(relation_composition(sK45,sK46))
| ~ in(unordered_pair(unordered_pair(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK20(relation_composition(sK45,sK46),sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)))),unordered_pair(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)))),relation_composition(sK45,sK46)) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_26873,plain,
( in(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),relation_dom(sK45))
| ~ relation(sK45)
| ~ in(unordered_pair(unordered_pair(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK33(sK45,sK46,sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK20(relation_composition(sK45,sK46),sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45))))),unordered_pair(sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)),sK16(relation_dom(relation_composition(sK45,sK46)),relation_dom(sK45)))),sK45) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_26874,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_26873,c_10210,c_6635,c_2550,c_586,c_585,c_266,c_267,c_268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU182+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.36 % Computer : n007.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 13:02:59 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 80.12/16.93 % SZS status Started for theBenchmark.p
% 80.12/16.93 % SZS status Theorem for theBenchmark.p
% 80.12/16.93
% 80.12/16.93 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 80.12/16.93
% 80.12/16.93 % ------ iProver source info
% 80.12/16.93
% 80.12/16.93 % git: date: 2026-07-19 20:42:38 +0200
% 80.12/16.93 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 80.12/16.93 % git: non_committed_changes: false
% 80.12/16.93
% 80.12/16.93 % ------ Parsing...
% 80.12/16.93 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 80.12/16.93
% 80.12/16.93 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 80.12/16.93
% 80.12/16.93 % ------ Preprocessing...%
% 80.12/16.93
% 80.12/16.93 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 80.12/16.93 % ------ Proving...
% 80.12/16.93 % ------ Problem Properties
% 80.12/16.93
% 80.12/16.93 %
% 80.12/16.93 % clauses 233
% 80.12/16.93 % conjectures 3
% 80.12/16.93 % EPR 29
% 80.12/16.93 % Horn 183
% 80.12/16.93 % unary 46
% 80.12/16.93 % binary 86
% 80.12/16.93 % lits 575
% 80.12/16.93 % lits eq 125
% 80.12/16.93 % fd_pure 0
% 80.12/16.93 % fd_pseudo 0
% 80.12/16.93 % fd_cond 10
% 80.12/16.93 % fd_pseudo_cond 50
% 80.12/16.93 % AC symbols 0
% 80.12/16.93
% 80.12/16.93 % ------ Input Options Time Limit: Unbounded
% 80.12/16.93
% 80.12/16.93
% 80.12/16.93 % ------
% 80.12/16.93 % Current options:
% 80.12/16.93 % ------
% 80.12/16.93
% 80.12/16.93
% 80.12/16.93 %
% 80.12/16.93
% 80.12/16.93 % ------ Proving...
% 80.12/16.93 %
% 80.12/16.93
% 80.12/16.93 % SZS status Theorem for theBenchmark.p
% 80.12/16.93
% 80.12/16.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 80.12/16.93
% 80.12/16.93
%------------------------------------------------------------------------------