TSTP Solution File: SEU241+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU241+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:05:07 EDT 2023
% Result : Theorem 138.68s 19.38s
% Output : CNFRefutation 138.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 86 ( 13 unt; 0 def)
% Number of atoms : 361 ( 54 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 469 ( 194 ~; 192 |; 62 &)
% ( 7 <=>; 12 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 175 ( 2 sgn; 108 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f18,axiom,
! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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,[],[f140]) ).
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/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
fof(f267,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f320,plain,
! [X0] :
( ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f339,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f340,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1) ) )
| ~ relation(X0) ),
inference(flattening,[],[f339]) ).
fof(f412,plain,
? [X0] :
( ( antisymmetric(X0)
<~> ! [X1,X2] :
( X1 = X2
| ~ in(ordered_pair(X2,X1),X0)
| ~ in(ordered_pair(X1,X2),X0) ) )
& relation(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f413,plain,
? [X0] :
( ( antisymmetric(X0)
<~> ! [X1,X2] :
( X1 = X2
| ~ in(ordered_pair(X2,X1),X0)
| ~ in(ordered_pair(X1,X2),X0) ) )
& relation(X0) ),
inference(flattening,[],[f412]) ).
fof(f487,plain,
! [X0,X1,X2] :
( ( in(X1,relation_field(X2))
& in(X0,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f215]) ).
fof(f488,plain,
! [X0,X1,X2] :
( ( in(X1,relation_field(X2))
& in(X0,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f487]) ).
fof(f595,plain,
! [X0] :
( ( ( antisymmetric(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0)) )
& ( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f320]) ).
fof(f697,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,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] :
( X2 = X3
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f340]) ).
fof(f698,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ? [X2,X3] :
( X2 != X3
& in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0)
& in(X3,X1)
& in(X2,X1) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f697]) ).
fof(f699,plain,
! [X0,X1] :
( ? [X2,X3] :
( X2 != X3
& in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0)
& in(X3,X1)
& in(X2,X1) )
=> ( sK47(X0,X1) != sK48(X0,X1)
& 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) ) ),
introduced(choice_axiom,[]) ).
fof(f700,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ( sK47(X0,X1) != sK48(X0,X1)
& 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) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48])],[f698,f699]) ).
fof(f762,plain,
? [X0] :
( ( ? [X1,X2] :
( X1 != X2
& in(ordered_pair(X2,X1),X0)
& in(ordered_pair(X1,X2),X0) )
| ~ antisymmetric(X0) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(ordered_pair(X2,X1),X0)
| ~ in(ordered_pair(X1,X2),X0) )
| antisymmetric(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f413]) ).
fof(f763,plain,
? [X0] :
( ( ? [X1,X2] :
( X1 != X2
& in(ordered_pair(X2,X1),X0)
& in(ordered_pair(X1,X2),X0) )
| ~ antisymmetric(X0) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(ordered_pair(X2,X1),X0)
| ~ in(ordered_pair(X1,X2),X0) )
| antisymmetric(X0) )
& relation(X0) ),
inference(flattening,[],[f762]) ).
fof(f764,plain,
? [X0] :
( ( ? [X1,X2] :
( X1 != X2
& in(ordered_pair(X2,X1),X0)
& in(ordered_pair(X1,X2),X0) )
| ~ antisymmetric(X0) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(ordered_pair(X4,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) )
| antisymmetric(X0) )
& relation(X0) ),
inference(rectify,[],[f763]) ).
fof(f765,plain,
( ? [X0] :
( ( ? [X1,X2] :
( X1 != X2
& in(ordered_pair(X2,X1),X0)
& in(ordered_pair(X1,X2),X0) )
| ~ antisymmetric(X0) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(ordered_pair(X4,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) )
| antisymmetric(X0) )
& relation(X0) )
=> ( ( ? [X2,X1] :
( X1 != X2
& in(ordered_pair(X2,X1),sK76)
& in(ordered_pair(X1,X2),sK76) )
| ~ antisymmetric(sK76) )
& ( ! [X4,X3] :
( X3 = X4
| ~ in(ordered_pair(X4,X3),sK76)
| ~ in(ordered_pair(X3,X4),sK76) )
| antisymmetric(sK76) )
& relation(sK76) ) ),
introduced(choice_axiom,[]) ).
fof(f766,plain,
( ? [X2,X1] :
( X1 != X2
& in(ordered_pair(X2,X1),sK76)
& in(ordered_pair(X1,X2),sK76) )
=> ( sK77 != sK78
& in(ordered_pair(sK78,sK77),sK76)
& in(ordered_pair(sK77,sK78),sK76) ) ),
introduced(choice_axiom,[]) ).
fof(f767,plain,
( ( ( sK77 != sK78
& in(ordered_pair(sK78,sK77),sK76)
& in(ordered_pair(sK77,sK78),sK76) )
| ~ antisymmetric(sK76) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(ordered_pair(X4,X3),sK76)
| ~ in(ordered_pair(X3,X4),sK76) )
| antisymmetric(sK76) )
& relation(sK76) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK76,sK77,sK78])],[f764,f766,f765]) ).
fof(f896,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f929,plain,
! [X0] :
( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f595]) ).
fof(f930,plain,
! [X0] :
( antisymmetric(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f595]) ).
fof(f1044,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(X5,X1)
| ~ in(X4,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f700]) ).
fof(f1047,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| in(ordered_pair(sK47(X0,X1),sK48(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f700]) ).
fof(f1048,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| in(ordered_pair(sK48(X0,X1),sK47(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f700]) ).
fof(f1049,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| sK47(X0,X1) != sK48(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f700]) ).
fof(f1074,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f51]) ).
fof(f1201,plain,
relation(sK76),
inference(cnf_transformation,[],[f767]) ).
fof(f1202,plain,
! [X3,X4] :
( X3 = X4
| ~ in(ordered_pair(X4,X3),sK76)
| ~ in(ordered_pair(X3,X4),sK76)
| antisymmetric(sK76) ),
inference(cnf_transformation,[],[f767]) ).
fof(f1203,plain,
( in(ordered_pair(sK77,sK78),sK76)
| ~ antisymmetric(sK76) ),
inference(cnf_transformation,[],[f767]) ).
fof(f1204,plain,
( in(ordered_pair(sK78,sK77),sK76)
| ~ antisymmetric(sK76) ),
inference(cnf_transformation,[],[f767]) ).
fof(f1205,plain,
( sK77 != sK78
| ~ antisymmetric(sK76) ),
inference(cnf_transformation,[],[f767]) ).
fof(f1328,plain,
! [X2,X0,X1] :
( in(X0,relation_field(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1329,plain,
! [X2,X0,X1] :
( in(X1,relation_field(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1426,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f267]) ).
fof(f1462,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f1074,f1426]) ).
fof(f1522,plain,
! [X0,X1] :
( 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(definition_unfolding,[],[f1048,f1462]) ).
fof(f1523,plain,
! [X0,X1] :
( 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(definition_unfolding,[],[f1047,f1462]) ).
fof(f1524,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ 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)
| ~ is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f1044,f1462,f1462]) ).
fof(f1566,plain,
( in(unordered_pair(unordered_pair(sK78,sK77),unordered_pair(sK78,sK78)),sK76)
| ~ antisymmetric(sK76) ),
inference(definition_unfolding,[],[f1204,f1462]) ).
fof(f1567,plain,
( in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76)
| ~ antisymmetric(sK76) ),
inference(definition_unfolding,[],[f1203,f1462]) ).
fof(f1568,plain,
! [X3,X4] :
( X3 = X4
| ~ in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),sK76)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),sK76)
| antisymmetric(sK76) ),
inference(definition_unfolding,[],[f1202,f1462,f1462]) ).
fof(f1594,plain,
! [X2,X0,X1] :
( in(X1,relation_field(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f1329,f1462]) ).
fof(f1595,plain,
! [X2,X0,X1] :
( in(X0,relation_field(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f1328,f1462]) ).
cnf(c_60,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f896]) ).
cnf(c_93,plain,
( ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0)
| antisymmetric(X0) ),
inference(cnf_transformation,[],[f930]) ).
cnf(c_94,plain,
( ~ relation(X0)
| ~ antisymmetric(X0)
| is_antisymmetric_in(X0,relation_field(X0)) ),
inference(cnf_transformation,[],[f929]) ).
cnf(c_207,plain,
( sK47(X0,X1) != sK48(X0,X1)
| ~ relation(X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf_transformation,[],[f1049]) ).
cnf(c_208,plain,
( ~ 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(cnf_transformation,[],[f1522]) ).
cnf(c_209,plain,
( ~ 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(cnf_transformation,[],[f1523]) ).
cnf(c_212,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),X2)
| ~ in(X0,X3)
| ~ in(X1,X3)
| ~ is_antisymmetric_in(X2,X3)
| ~ relation(X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f1524]) ).
cnf(c_363,negated_conjecture,
( sK77 != sK78
| ~ antisymmetric(sK76) ),
inference(cnf_transformation,[],[f1205]) ).
cnf(c_364,negated_conjecture,
( ~ antisymmetric(sK76)
| in(unordered_pair(unordered_pair(sK78,sK77),unordered_pair(sK78,sK78)),sK76) ),
inference(cnf_transformation,[],[f1566]) ).
cnf(c_365,negated_conjecture,
( ~ antisymmetric(sK76)
| in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76) ),
inference(cnf_transformation,[],[f1567]) ).
cnf(c_366,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK76)
| ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sK76)
| X0 = X1
| antisymmetric(sK76) ),
inference(cnf_transformation,[],[f1568]) ).
cnf(c_367,negated_conjecture,
relation(sK76),
inference(cnf_transformation,[],[f1201]) ).
cnf(c_490,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2)
| in(X1,relation_field(X2)) ),
inference(cnf_transformation,[],[f1594]) ).
cnf(c_491,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2)
| in(X0,relation_field(X2)) ),
inference(cnf_transformation,[],[f1595]) ).
cnf(c_2098,plain,
( ~ antisymmetric(sK76)
| in(unordered_pair(unordered_pair(sK78,sK78),unordered_pair(sK78,sK77)),sK76) ),
inference(demodulation,[status(thm)],[c_364,c_60]) ).
cnf(c_2139,plain,
( ~ antisymmetric(sK76)
| in(unordered_pair(unordered_pair(sK78,sK77),unordered_pair(sK77,sK77)),sK76) ),
inference(demodulation,[status(thm)],[c_365,c_60]) ).
cnf(c_5439,plain,
( ~ in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X1)),X2)
| ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),X2)
| ~ in(X0,X3)
| ~ in(X1,X3)
| ~ is_antisymmetric_in(X2,X3)
| ~ relation(X2)
| X0 = X1 ),
inference(superposition,[status(thm)],[c_60,c_212]) ).
cnf(c_6364,plain,
( ~ in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X1)),X2)
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X0)),X2)
| ~ in(X0,X3)
| ~ in(X1,X3)
| ~ is_antisymmetric_in(X2,X3)
| ~ relation(X2)
| X0 = X1 ),
inference(superposition,[status(thm)],[c_60,c_5439]) ).
cnf(c_7713,plain,
( ~ in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76)
| ~ relation(sK76)
| in(sK77,relation_field(sK76)) ),
inference(instantiation,[status(thm)],[c_491]) ).
cnf(c_7714,plain,
( ~ in(unordered_pair(unordered_pair(sK77,sK78),unordered_pair(sK77,sK77)),sK76)
| ~ relation(sK76)
| in(sK78,relation_field(sK76)) ),
inference(instantiation,[status(thm)],[c_490]) ).
cnf(c_9304,plain,
( ~ in(unordered_pair(unordered_pair(sK77,sK77),unordered_pair(sK77,sK78)),sK76)
| ~ in(sK77,X0)
| ~ in(sK78,X0)
| ~ is_antisymmetric_in(sK76,X0)
| ~ relation(sK76)
| ~ antisymmetric(sK76)
| sK77 = sK78 ),
inference(superposition,[status(thm)],[c_2098,c_6364]) ).
cnf(c_9310,plain,
( ~ antisymmetric(sK76)
| ~ in(unordered_pair(unordered_pair(sK77,sK77),unordered_pair(sK77,sK78)),sK76)
| ~ in(sK77,X0)
| ~ in(sK78,X0)
| ~ is_antisymmetric_in(sK76,X0) ),
inference(global_subsumption_just,[status(thm)],[c_9304,c_367,c_363,c_9304]) ).
cnf(c_9311,plain,
( ~ in(unordered_pair(unordered_pair(sK77,sK77),unordered_pair(sK77,sK78)),sK76)
| ~ in(sK77,X0)
| ~ in(sK78,X0)
| ~ is_antisymmetric_in(sK76,X0)
| ~ antisymmetric(sK76) ),
inference(renaming,[status(thm)],[c_9310]) ).
cnf(c_9318,plain,
( ~ in(unordered_pair(unordered_pair(sK78,sK77),unordered_pair(sK77,sK77)),sK76)
| ~ in(sK77,X0)
| ~ in(sK78,X0)
| ~ is_antisymmetric_in(sK76,X0)
| ~ antisymmetric(sK76) ),
inference(demodulation,[status(thm)],[c_9311,c_60]) ).
cnf(c_9324,plain,
( ~ in(sK77,X0)
| ~ in(sK78,X0)
| ~ is_antisymmetric_in(sK76,X0)
| ~ antisymmetric(sK76) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9318,c_2139]) ).
cnf(c_9747,plain,
( ~ in(sK77,relation_field(sK76))
| ~ in(sK78,relation_field(sK76))
| ~ relation(sK76)
| ~ antisymmetric(sK76) ),
inference(superposition,[status(thm)],[c_94,c_9324]) ).
cnf(c_9748,plain,
~ antisymmetric(sK76),
inference(global_subsumption_just,[status(thm)],[c_9747,c_367,c_365,c_7714,c_7713,c_9747]) ).
cnf(c_114369,plain,
( 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(global_subsumption_just,[status(thm)],[c_366,c_366,c_9748]) ).
cnf(c_114370,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK76)
| ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sK76)
| X0 = X1 ),
inference(renaming,[status(thm)],[c_114369]) ).
cnf(c_159456,plain,
( ~ relation(sK76)
| in(unordered_pair(unordered_pair(sK47(sK76,X0),sK48(sK76,X0)),unordered_pair(sK47(sK76,X0),sK47(sK76,X0))),sK76)
| is_antisymmetric_in(sK76,X0) ),
inference(instantiation,[status(thm)],[c_209]) ).
cnf(c_159458,plain,
( sK47(sK76,X0) != sK48(sK76,X0)
| ~ relation(sK76)
| is_antisymmetric_in(sK76,X0) ),
inference(instantiation,[status(thm)],[c_207]) ).
cnf(c_161094,plain,
( ~ in(unordered_pair(unordered_pair(sK47(sK76,X0),sK48(sK76,X0)),unordered_pair(sK47(sK76,X0),sK47(sK76,X0))),sK76)
| ~ relation(sK76)
| sK47(sK76,X0) = sK48(sK76,X0)
| is_antisymmetric_in(sK76,X0) ),
inference(resolution,[status(thm)],[c_208,c_114370]) ).
cnf(c_162384,plain,
is_antisymmetric_in(sK76,X0),
inference(global_subsumption_just,[status(thm)],[c_161094,c_367,c_159458,c_159456,c_161094]) ).
cnf(c_162391,plain,
( ~ relation(sK76)
| antisymmetric(sK76) ),
inference(resolution,[status(thm)],[c_162384,c_93]) ).
cnf(c_162392,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_162391,c_9748,c_367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU241+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 16:20:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 138.68/19.38 % SZS status Started for theBenchmark.p
% 138.68/19.38 % SZS status Theorem for theBenchmark.p
% 138.68/19.38
% 138.68/19.38 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 138.68/19.38
% 138.68/19.38 ------ iProver source info
% 138.68/19.38
% 138.68/19.38 git: date: 2023-05-31 18:12:56 +0000
% 138.68/19.38 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 138.68/19.38 git: non_committed_changes: false
% 138.68/19.38 git: last_make_outside_of_git: false
% 138.68/19.38
% 138.68/19.38 ------ Parsing...
% 138.68/19.38 ------ Clausification by vclausify_rel & Parsing by iProver...
% 138.68/19.38
% 138.68/19.38 ------ Preprocessing... sf_s rm: 6 0s sf_e sf_s rm: 2 0s sf_e
% 138.68/19.38
% 138.68/19.38 ------ Preprocessing...
% 138.68/19.38
% 138.68/19.38 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 138.68/19.38 ------ Proving...
% 138.68/19.38 ------ Problem Properties
% 138.68/19.38
% 138.68/19.38
% 138.68/19.38 clauses 518
% 138.68/19.38 conjectures 5
% 138.68/19.38 EPR 81
% 138.68/19.38 Horn 408
% 138.68/19.38 unary 88
% 138.68/19.38 binary 140
% 138.68/19.38 lits 1486
% 138.68/19.38 lits eq 247
% 138.68/19.38 fd_pure 0
% 138.68/19.38 fd_pseudo 0
% 138.68/19.38 fd_cond 17
% 138.68/19.38 fd_pseudo_cond 94
% 138.68/19.38 AC symbols 0
% 138.68/19.38
% 138.68/19.38 ------ Input Options Time Limit: Unbounded
% 138.68/19.38
% 138.68/19.38
% 138.68/19.38 ------
% 138.68/19.38 Current options:
% 138.68/19.38 ------
% 138.68/19.38
% 138.68/19.38
% 138.68/19.38
% 138.68/19.38
% 138.68/19.38 ------ Proving...
% 138.68/19.38
% 138.68/19.38
% 138.68/19.38 % SZS status Theorem for theBenchmark.p
% 138.68/19.38
% 138.68/19.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 138.68/19.38
% 138.68/19.39
%------------------------------------------------------------------------------