%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU241+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 : n001.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 02:56:19 PM UTC 2026
% Result : Theorem 47.60s 7.40s
% Output : CNFRefutation 47.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 77 ( 13 unt; 0 def)
% Number of atoms : 305 ( 46 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 386 ( 158 ~; 168 |; 42 &)
% ( 7 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 122 !; 15 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).
fof(f44,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0)
& in(X3,X1)
& in(X2,X1) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
fof(f51,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(f140,conjecture,
! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> ! [X1,X2] :
( ( in(ordered_pair(X2,X1),X0)
& in(ordered_pair(X1,X2),X0) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_wellord1) ).
fof(f141,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> ! [X1,X2] :
( ( in(ordered_pair(X2,X1),X0)
& in(ordered_pair(X1,X2),X0) )
=> X1 = X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f140]) ).
fof(f199,axiom,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(f215,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_field(X2))
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).
fof(f267,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f320,plain,
! [X0] :
( ~ relation(X0)
| ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f339,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X2 = X3 ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f340,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X2 = X3 ) ) ),
inference(flattening,[],[f339]) ).
fof(f412,plain,
? [X0] :
( relation(X0)
& ( antisymmetric(X0)
<~> ! [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| ~ in(ordered_pair(X1,X2),X0)
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f141]) ).
fof(f413,plain,
? [X0] :
( relation(X0)
& ( antisymmetric(X0)
<~> ! [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| ~ in(ordered_pair(X1,X2),X0)
| X1 = X2 ) ) ),
inference(flattening,[],[f412]) ).
fof(f487,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| ( in(X1,relation_field(X2))
& in(X0,relation_field(X2)) ) ),
inference(ennf_transformation,[],[f215]) ).
fof(f488,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| ( in(X1,relation_field(X2))
& in(X0,relation_field(X2)) ) ),
inference(flattening,[],[f487]) ).
fof(f589,plain,
! [X0] :
( ~ relation(X0)
| ( ( ~ antisymmetric(X0)
| is_antisymmetric_in(X0,relation_field(X0)) )
& ( ~ is_antisymmetric_in(X0,relation_field(X0))
| antisymmetric(X0) ) ) ),
inference(nnf_transformation,[],[f320]) ).
fof(f660,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ~ is_antisymmetric_in(X0,X1)
| ! [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X2 = X3 ) )
& ( ? [X2,X3] :
( in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0)
& in(X3,X1)
& in(X2,X1)
& X2 != X3 )
| is_antisymmetric_in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f340]) ).
fof(f661,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ~ is_antisymmetric_in(X0,X1)
| ! [X4,X5] :
( ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(X5,X1)
| ~ in(X4,X1)
| X4 = X5 ) )
& ( ? [X2,X3] :
( in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0)
& in(X3,X1)
& in(X2,X1)
& X2 != X3 )
| is_antisymmetric_in(X0,X1) ) ) ),
inference(rectify,[],[f660]) ).
fof(f662,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ~ is_antisymmetric_in(X0,X1)
| ! [X4,X5] :
( ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(X5,X1)
| ~ in(X4,X1)
| X4 = X5 ) )
& ( ( in(ordered_pair(sK48(X0,X1),sK47(X0,X1)),X0)
& in(ordered_pair(sK47(X0,X1),sK48(X0,X1)),X0)
& in(sK48(X0,X1),X1)
& in(sK47(X0,X1),X1)
& sK47(X0,X1) != sK48(X0,X1) )
| is_antisymmetric_in(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47,sK48]),skolemize(X2,sK47(X0,X1)),skolemize(X3,sK48(X0,X1))],[f661]) ).
fof(f704,plain,
? [X0] :
( relation(X0)
& ( antisymmetric(X0)
| ! [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| ~ in(ordered_pair(X1,X2),X0)
| X1 = X2 ) )
& ( ~ antisymmetric(X0)
| ? [X1,X2] :
( in(ordered_pair(X2,X1),X0)
& in(ordered_pair(X1,X2),X0)
& X1 != X2 ) ) ),
inference(nnf_transformation,[],[f413]) ).
fof(f705,plain,
? [X0] :
( relation(X0)
& ( antisymmetric(X0)
| ! [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| ~ in(ordered_pair(X1,X2),X0)
| X1 = X2 ) )
& ( ~ antisymmetric(X0)
| ? [X1,X2] :
( in(ordered_pair(X2,X1),X0)
& in(ordered_pair(X1,X2),X0)
& X1 != X2 ) ) ),
inference(flattening,[],[f704]) ).
fof(f706,plain,
? [X0] :
( relation(X0)
& ( antisymmetric(X0)
| ! [X3,X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(ordered_pair(X3,X4),X0)
| X3 = X4 ) )
& ( ~ antisymmetric(X0)
| ? [X1,X2] :
( in(ordered_pair(X2,X1),X0)
& in(ordered_pair(X1,X2),X0)
& X1 != X2 ) ) ),
inference(rectify,[],[f705]) ).
fof(f707,plain,
( relation(sK76)
& ( antisymmetric(sK76)
| ! [X3,X4] :
( ~ in(ordered_pair(X4,X3),sK76)
| ~ in(ordered_pair(X3,X4),sK76)
| X3 = X4 ) )
& ( ~ antisymmetric(sK76)
| ( in(ordered_pair(sK78,sK77),sK76)
& in(ordered_pair(sK77,sK78),sK76)
& sK77 != sK78 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76,sK77,sK78]),skolemize(X0,sK76),skolemize(X1,sK77),skolemize(X2,sK78)],[f706]) ).
fof(f835,plain,
! [X0] :
( ~ relation(X0)
| ~ antisymmetric(X0)
| is_antisymmetric_in(X0,relation_field(X0)) ),
inference(cnf_transformation,[],[f589]) ).
fof(f836,plain,
! [X0] :
( ~ relation(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0))
| antisymmetric(X0) ),
inference(cnf_transformation,[],[f589]) ).
fof(f950,plain,
! [X0,X1,X4,X5] :
( ~ relation(X0)
| ~ is_antisymmetric_in(X0,X1)
| ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(X5,X1)
| ~ in(X4,X1)
| X4 = X5 ),
inference(cnf_transformation,[],[f662]) ).
fof(f951,plain,
! [X0,X1] :
( ~ relation(X0)
| in(ordered_pair(sK48(X0,X1),sK47(X0,X1)),X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf_transformation,[],[f662]) ).
fof(f952,plain,
! [X0,X1] :
( ~ relation(X0)
| in(ordered_pair(sK47(X0,X1),sK48(X0,X1)),X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf_transformation,[],[f662]) ).
fof(f955,plain,
! [X0,X1] :
( ~ relation(X0)
| sK47(X0,X1) != sK48(X0,X1)
| is_antisymmetric_in(X0,X1) ),
inference(cnf_transformation,[],[f662]) ).
fof(f980,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f51]) ).
fof(f1107,plain,
relation(sK76),
inference(cnf_transformation,[],[f707]) ).
fof(f1108,plain,
! [X3,X4] :
( antisymmetric(sK76)
| ~ in(ordered_pair(X4,X3),sK76)
| ~ in(ordered_pair(X3,X4),sK76)
| X3 = X4 ),
inference(cnf_transformation,[],[f707]) ).
fof(f1109,plain,
( ~ antisymmetric(sK76)
| in(ordered_pair(sK78,sK77),sK76) ),
inference(cnf_transformation,[],[f707]) ).
fof(f1110,plain,
( ~ antisymmetric(sK76)
| in(ordered_pair(sK77,sK78),sK76) ),
inference(cnf_transformation,[],[f707]) ).
fof(f1111,plain,
( ~ antisymmetric(sK76)
| sK77 != sK78 ),
inference(cnf_transformation,[],[f707]) ).
fof(f1213,plain,
powerset(empty_set) = singleton(empty_set),
inference(cnf_transformation,[],[f199]) ).
fof(f1234,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| in(X1,relation_field(X2)) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1235,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| in(X0,relation_field(X2)) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1332,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f267]) ).
fof(f1368,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f980,f1332]) ).
fof(f1428,plain,
! [X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK47(X0,X1),sK48(X0,X1)),unordered_pair(sK47(X0,X1),sK47(X0,X1))),X0)
| is_antisymmetric_in(X0,X1) ),
inference(definition_unfolding,[],[f952,f1368]) ).
fof(f1429,plain,
! [X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK48(X0,X1),sK47(X0,X1)),unordered_pair(sK48(X0,X1),sK48(X0,X1))),X0)
| is_antisymmetric_in(X0,X1) ),
inference(definition_unfolding,[],[f951,f1368]) ).
fof(f1430,plain,
! [X0,X1,X4,X5] :
( ~ relation(X0)
| ~ is_antisymmetric_in(X0,X1)
| ~ in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X0)
| ~ in(X5,X1)
| ~ in(X4,X1)
| X4 = X5 ),
inference(definition_unfolding,[],[f950,f1368,f1368]) ).
fof(f1472,plain,
( ~ antisymmetric(sK76)
| in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76) ),
inference(definition_unfolding,[],[f1110,f1368]) ).
fof(f1473,plain,
( ~ antisymmetric(sK76)
| in(unordered_pair(unordered_pair(sK78,sK77),unordered_pair(sK78,sK78)),sK76) ),
inference(definition_unfolding,[],[f1109,f1368]) ).
fof(f1474,plain,
! [X3,X4] :
( antisymmetric(sK76)
| ~ in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),sK76)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),sK76)
| X3 = X4 ),
inference(definition_unfolding,[],[f1108,f1368,f1368]) ).
fof(f1494,plain,
powerset(empty_set) = unordered_pair(empty_set,empty_set),
inference(definition_unfolding,[],[f1213,f1332]) ).
fof(f1500,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_field(X2)) ),
inference(definition_unfolding,[],[f1235,f1368]) ).
fof(f1501,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X1,relation_field(X2)) ),
inference(definition_unfolding,[],[f1234,f1368]) ).
tcf(c_93,plain,
! [X0: $i] :
( antisymmetric(X0)
| ~ relation(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0)) ),
inference(cnf_transformation,[],[f836]) ).
tcf(c_94,plain,
! [X0: $i] :
( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f835]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( is_antisymmetric_in(X0,X1)
| ~ relation(X0)
| ( sK47(X0,X1) != sK48(X0,X1) ) ),
inference(cnf_transformation,[],[f955]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] :
( is_antisymmetric_in(X0,X1)
| in(unordered_pair(unordered_pair(sK47(X0,X1),sK48(X0,X1)),unordered_pair(sK47(X0,X1),sK47(X0,X1))),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f1428]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( is_antisymmetric_in(X0,X1)
| in(unordered_pair(unordered_pair(sK48(X0,X1),sK47(X0,X1)),unordered_pair(sK48(X0,X1),sK48(X0,X1))),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f1429]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ relation(X2)
| ~ is_antisymmetric_in(X2,X3)
| ~ in(X1,X3)
| ~ in(X0,X3)
| ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2) ),
inference(cnf_transformation,[],[f1430]) ).
tcf(c_363,negated_conjecture,
( ~ antisymmetric(sK76)
| ( sK77 != sK78 ) ),
inference(cnf_transformation,[],[f1111]) ).
tcf(c_364,negated_conjecture,
( in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76)
| ~ antisymmetric(sK76) ),
inference(cnf_transformation,[],[f1472]) ).
tcf(c_365,negated_conjecture,
( in(unordered_pair(unordered_pair(sK78,sK77),unordered_pair(sK78,sK78)),sK76)
| ~ antisymmetric(sK76) ),
inference(cnf_transformation,[],[f1473]) ).
tcf(c_366,negated_conjecture,
! [X0: $i,X1: $i] :
( antisymmetric(sK76)
| ( X0 = X1 )
| ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sK76)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK76) ),
inference(cnf_transformation,[],[f1474]) ).
tcf(c_367,negated_conjecture,
relation(sK76),
inference(cnf_transformation,[],[f1107]) ).
tcf(c_469,plain,
unordered_pair(empty_set,empty_set) = powerset(empty_set),
inference(cnf_transformation,[],[f1494]) ).
tcf(c_490,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2) ),
inference(cnf_transformation,[],[f1500]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2) ),
inference(cnf_transformation,[],[f1501]) ).
tcf(c_10637,plain,
( antisymmetric(sK76)
| ~ relation(sK76)
| ~ is_antisymmetric_in(sK76,relation_field(sK76)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_12196,plain,
( is_antisymmetric_in(sK76,relation_field(sK76))
| ~ antisymmetric(sK76)
| ~ relation(sK76) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_12197,plain,
( is_antisymmetric_in(sK76,relation_field(sK76))
| in(unordered_pair(unordered_pair(sK48(sK76,relation_field(sK76)),sK47(sK76,relation_field(sK76))),unordered_pair(sK48(sK76,relation_field(sK76)),sK48(sK76,relation_field(sK76)))),sK76)
| ~ relation(sK76) ),
inference(instantiation,[status(thm)],[c_211]) ).
tcf(c_12198,plain,
( is_antisymmetric_in(sK76,relation_field(sK76))
| in(unordered_pair(unordered_pair(sK47(sK76,relation_field(sK76)),sK48(sK76,relation_field(sK76))),unordered_pair(sK47(sK76,relation_field(sK76)),sK47(sK76,relation_field(sK76)))),sK76)
| ~ relation(sK76) ),
inference(instantiation,[status(thm)],[c_210]) ).
tcf(c_12201,plain,
( is_antisymmetric_in(sK76,relation_field(sK76))
| ~ relation(sK76)
| ( sK47(sK76,relation_field(sK76)) != sK48(sK76,relation_field(sK76)) ) ),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_15193,plain,
! [X0: $i,X1: $i] :
( ( sK77 = sK78 )
| ~ relation(X0)
| ~ in(sK78,X1)
| ~ in(sK77,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ in(unordered_pair(unordered_pair(sK78,sK77),unordered_pair(sK78,sK78)),X0)
| ~ in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),X0) ),
inference(instantiation,[status(thm)],[c_212]) ).
tcf(c_15256,plain,
( in(sK78,relation_field(sK76))
| ~ relation(sK76)
| ~ in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76) ),
inference(instantiation,[status(thm)],[c_491]) ).
tcf(c_15257,plain,
( in(sK77,relation_field(sK76))
| ~ relation(sK76)
| ~ in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76) ),
inference(instantiation,[status(thm)],[c_490]) ).
tcf(c_15385,plain,
( antisymmetric(sK76)
| ( sK47(sK76,relation_field(sK76)) = sK48(sK76,relation_field(sK76)) )
| ~ in(unordered_pair(unordered_pair(sK48(sK76,relation_field(sK76)),sK47(sK76,relation_field(sK76))),unordered_pair(sK48(sK76,relation_field(sK76)),sK48(sK76,relation_field(sK76)))),sK76)
| ~ in(unordered_pair(unordered_pair(sK47(sK76,relation_field(sK76)),sK48(sK76,relation_field(sK76))),unordered_pair(sK47(sK76,relation_field(sK76)),sK47(sK76,relation_field(sK76)))),sK76) ),
inference(instantiation,[status(thm)],[c_366]) ).
tcf(c_18286,plain,
! [X0: $i] :
( antisymmetric(sK76)
| ( X0 = empty_set )
| ~ in(unordered_pair(unordered_pair(empty_set,X0),powerset(empty_set)),sK76)
| ~ in(unordered_pair(unordered_pair(X0,empty_set),unordered_pair(X0,X0)),sK76) ),
inference(superposition,[status(thm)],[c_469,c_366]) ).
tcf(c_19363,plain,
antisymmetric(sK76),
inference(global_subsumption_just,[status(thm)],[c_18286,c_367,c_10637,c_12201,c_12198,c_12197,c_15385]) ).
tcf(c_22675,plain,
! [X0: $i] :
( ( sK77 = sK78 )
| ~ relation(sK76)
| ~ is_antisymmetric_in(sK76,X0)
| ~ in(sK78,X0)
| ~ in(sK77,X0)
| ~ in(unordered_pair(unordered_pair(sK78,sK77),unordered_pair(sK78,sK78)),sK76)
| ~ in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76) ),
inference(instantiation,[status(thm)],[c_15193]) ).
tcf(c_25073,plain,
( ( sK77 = sK78 )
| ~ relation(sK76)
| ~ is_antisymmetric_in(sK76,relation_field(sK76))
| ~ in(sK78,relation_field(sK76))
| ~ in(sK77,relation_field(sK76))
| ~ in(unordered_pair(unordered_pair(sK78,sK77),unordered_pair(sK78,sK78)),sK76)
| ~ in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76) ),
inference(instantiation,[status(thm)],[c_22675]) ).
tcf(c_25074,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_25073,c_19363,c_15256,c_15257,c_12196,c_364,c_365,c_363,c_367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU241+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 13:27:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 47.60/7.40 % SZS status Started for theBenchmark.p
% 47.60/7.40 % SZS status Theorem for theBenchmark.p
% 47.60/7.40
% 47.60/7.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 47.60/7.40
% 47.60/7.40 % ------ iProver source info
% 47.60/7.40
% 47.60/7.40 % git: date: 2026-07-19 20:42:38 +0200
% 47.60/7.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 47.60/7.40 % git: non_committed_changes: false
% 47.60/7.40
% 47.60/7.40 % ------ Parsing...
% 47.60/7.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 47.60/7.40
% 47.60/7.40 % ------ Preprocessing...%
% 47.60/7.40
% 47.60/7.40 % ------ Preprocessing...%
% 47.60/7.40
% 47.60/7.40 % ------ Preprocessing...
% 47.60/7.40 % ------ Proving...
% 47.60/7.40 % ------ Problem Properties
% 47.60/7.40
% 47.60/7.40 %
% 47.60/7.40 % clauses 512
% 47.60/7.40 % conjectures 5
% 47.60/7.40 % EPR 84
% 47.60/7.40 % Horn 402
% 47.60/7.40 % unary 85
% 47.60/7.40 % binary 141
% 47.60/7.40 % lits 1456
% 47.60/7.40 % lits eq 246
% 47.60/7.40 % fd_pure 0
% 47.60/7.40 % fd_pseudo 0
% 47.60/7.40 % fd_cond 17
% 47.60/7.40 % fd_pseudo_cond 94
% 47.60/7.40 % AC symbols 0
% 47.60/7.40
% 47.60/7.40 % ------ Input Options Time Limit: Unbounded
% 47.60/7.40
% 47.60/7.40
% 47.60/7.40 % ------
% 47.60/7.40 % Current options:
% 47.60/7.40 % ------
% 47.60/7.40
% 47.60/7.40
% 47.60/7.40 %
% 47.60/7.40
% 47.60/7.40 % ------ Proving...
% 47.60/7.40 %
% 47.60/7.40
% 47.60/7.40 % SZS status Theorem for theBenchmark.p
% 47.60/7.40
% 47.60/7.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 47.60/7.40
% 47.60/7.40
%------------------------------------------------------------------------------