%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU183+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 : 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 02:55:47 PM UTC 2026
% Result : Theorem 13.88s 17.97s
% Output : CNFRefutation 13.88s
% 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(f22,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_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(f130,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_relat_1) ).
fof(f131,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f130]) ).
fof(f147,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f176,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f178,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f182,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(f188,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f189,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(flattening,[],[f188]) ).
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(ennf_transformation,[],[f104]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ),
inference(flattening,[],[f230]) ).
fof(f249,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
inference(ennf_transformation,[],[f131]) ).
fof(f309,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,[],[f176]) ).
fof(f310,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,[],[f309]) ).
fof(f311,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))],[f310]) ).
fof(f326,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) )
& ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(nnf_transformation,[],[f178]) ).
fof(f327,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] : in(ordered_pair(X7,X5),X0) )
& ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] : in(ordered_pair(X4,X2),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(rectify,[],[f326]) ).
fof(f328,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| in(ordered_pair(sK27(X0,X5),X5),X0) )
& ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ) ) )
& ( ( ( in(sK25(X0,X1),X1)
| in(ordered_pair(sK26(X0,X1),sK25(X0,X1)),X0) )
& ( ~ in(sK25(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(X3,sK25(X0,X1)),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27]),skolemize(X2,sK25(X0,X1)),skolemize(X4,sK26(X0,X1)),skolemize(X7,sK27(X0,X5))],[f327]) ).
fof(f333,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,[],[f182]) ).
fof(f334,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,[],[f333]) ).
fof(f335,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))],[f334]) ).
fof(f367,plain,
( relation(sK45)
& relation(sK46)
& ~ subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X0,sK45),skolemize(X1,sK46)],[f249]) ).
fof(f426,plain,
! [X0,X1] :
( in(sK16(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
fof(f427,plain,
! [X0,X1] :
( ~ in(sK16(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
fof(f451,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(ordered_pair(sK27(X0,X5),X5),X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f456,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f464,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(sK33(X0,X1,X7,X8),X8),X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f479,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f549,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f591,plain,
relation(sK45),
inference(cnf_transformation,[],[f367]) ).
fof(f592,plain,
relation(sK46),
inference(cnf_transformation,[],[f367]) ).
fof(f593,plain,
~ subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),
inference(cnf_transformation,[],[f367]) ).
fof(f611,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f147]) ).
fof(f628,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f456,f611]) ).
fof(f653,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0) ),
inference(definition_unfolding,[],[f451,f628]) ).
fof(f665,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(sK33(X0,X1,X7,X8),X8),unordered_pair(sK33(X0,X1,X7,X8),sK33(X0,X1,X7,X8))),X1) ),
inference(definition_unfolding,[],[f464,f628,f628]) ).
fof(f689,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X1,relation_rng(X2)) ),
inference(definition_unfolding,[],[f549,f628]) ).
fof(f750,plain,
! [X0,X5] :
( ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0) ),
inference(equality_resolution,[],[f653]) ).
fof(f755,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(sK33(X0,X1,X7,X8),X8),unordered_pair(sK33(X0,X1,X7,X8),sK33(X0,X1,X7,X8))),X1) ),
inference(equality_resolution,[],[f665]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(sK16(X0,X1),X1) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK16(X0,X1),X0) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(sK27(X1,X0),X0),unordered_pair(sK27(X1,X0),sK27(X1,X0))),X1)
| ~ relation(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f750]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(unordered_pair(unordered_pair(sK33(X2,X3,X0,X1),X1),unordered_pair(sK33(X2,X3,X0,X1),sK33(X2,X3,X0,X1))),X3)
| ~ 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,[],[f755]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2) ),
inference(cnf_transformation,[],[f689]) ).
tcf(c_267,negated_conjecture,
~ subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),
inference(cnf_transformation,[],[f593]) ).
tcf(c_268,negated_conjecture,
relation(sK46),
inference(cnf_transformation,[],[f592]) ).
tcf(c_269,negated_conjecture,
relation(sK45),
inference(cnf_transformation,[],[f591]) ).
tcf(c_584,plain,
! [X0: $i] :
( relation(relation_composition(sK45,X0))
| ~ relation(sK45)
| ~ relation(X0) ),
inference(instantiation,[status(thm)],[c_155]) ).
tcf(c_611,plain,
( subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))
| ~ in(sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),relation_rng(sK46)) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_612,plain,
( subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))
| in(sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),relation_rng(relation_composition(sK45,sK46))) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_818,plain,
! [X0: $i,X1: $i] :
( in(X1,relation_rng(sK46))
| ~ relation(sK46)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK46) ),
inference(instantiation,[status(thm)],[c_226]) ).
tcf(c_2529,plain,
( in(unordered_pair(unordered_pair(sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),unordered_pair(sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))))),relation_composition(sK45,sK46))
| ~ relation(relation_composition(sK45,sK46))
| ~ in(sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),relation_rng(relation_composition(sK45,sK46))) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_6541,plain,
( relation(relation_composition(sK45,sK46))
| ~ relation(sK46)
| ~ relation(sK45) ),
inference(instantiation,[status(thm)],[c_584]) ).
tcf(c_10177,plain,
( in(unordered_pair(unordered_pair(sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),unordered_pair(sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))))),sK46)
| ~ relation(sK46)
| ~ relation(sK45)
| ~ relation(relation_composition(sK45,sK46))
| ~ in(unordered_pair(unordered_pair(sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),unordered_pair(sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))))),relation_composition(sK45,sK46)) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_34828,plain,
( in(sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),relation_rng(sK46))
| ~ relation(sK46)
| ~ in(unordered_pair(unordered_pair(sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),unordered_pair(sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))))),sK46) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_34830,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_34828,c_10177,c_6541,c_2529,c_612,c_611,c_267,c_268,c_269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU183+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 13:06:24 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.40 Running first-order theorem proving
% 0.14/5.40 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
% 0.14/5.41
% 0.14/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.41
% 0.14/5.41 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 13.88/17.97 % SZS status Started for theBenchmark.p
% 13.88/17.97 % SZS status Theorem for theBenchmark.p
% 13.88/17.97
% 13.88/17.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 13.88/17.97
% 13.88/17.97 % ------ iProver source info
% 13.88/17.97
% 13.88/17.97 % git: date: 2026-07-19 20:42:38 +0200
% 13.88/17.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 13.88/17.97 % git: non_committed_changes: false
% 13.88/17.97
% 13.88/17.97 % ------ Parsing...
% 13.88/17.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 13.88/17.97
% 13.88/17.97 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 13.88/17.97
% 13.88/17.97 % ------ Preprocessing...%
% 13.88/17.97
% 13.88/17.97 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 13.88/17.97 % ------ Proving...
% 13.88/17.97 % ------ Problem Properties
% 13.88/17.97
% 13.88/17.97 %
% 13.88/17.97 % clauses 234
% 13.88/17.97 % conjectures 3
% 13.88/17.97 % EPR 29
% 13.88/17.97 % Horn 184
% 13.88/17.97 % unary 46
% 13.88/17.97 % binary 86
% 13.88/17.97 % lits 578
% 13.88/17.97 % lits eq 125
% 13.88/17.97 % fd_pure 0
% 13.88/17.97 % fd_pseudo 0
% 13.88/17.97 % fd_cond 10
% 13.88/17.97 % fd_pseudo_cond 50
% 13.88/17.97 % AC symbols 0
% 13.88/17.97
% 13.88/17.97 % ------ Input Options Time Limit: Unbounded
% 13.88/17.97
% 13.88/17.97
% 13.88/17.97 % ------
% 13.88/17.97 % Current options:
% 13.88/17.97 % ------
% 13.88/17.97
% 13.88/17.97
% 13.88/17.97 %
% 13.88/17.97
% 13.88/17.97 % ------ Proving...
% 13.88/17.97 %
% 13.88/17.97
% 13.88/17.97 % SZS status Theorem for theBenchmark.p
% 13.88/17.97
% 13.88/17.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.88/17.97
% 13.88/17.97
%------------------------------------------------------------------------------