TSTP Solution File: SEU203+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU203+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 17:04:39 EDT 2023
% Result : Theorem 17.22s 3.28s
% Output : CNFRefutation 17.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 10 unt; 0 def)
% Number of atoms : 317 ( 18 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 397 ( 152 ~; 153 |; 71 &)
% ( 8 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 189 ( 1 sgn; 126 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f23,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f31,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(f124,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f125,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[],[f124]) ).
fof(f132,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(f180,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f217,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f223,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f292,plain,
? [X0,X1,X2] :
( ( in(X0,relation_image(X2,X1))
<~> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f125]) ).
fof(f298,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f299,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f298]) ).
fof(f380,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f217]) ).
fof(f381,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,X3),X0) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X8,X6),X0) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f380]) ).
fof(f382,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,X3),X0) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK6(X0,X1,X2)),X0) )
| ~ in(sK6(X0,X1,X2),X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK6(X0,X1,X2)),X0) )
| in(sK6(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f383,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK6(X0,X1,X2)),X0) )
=> ( in(sK7(X0,X1,X2),X1)
& in(ordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f384,plain,
! [X0,X1,X6] :
( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X8,X6),X0) )
=> ( in(sK8(X0,X1,X6),X1)
& in(ordered_pair(sK8(X0,X1,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f385,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK6(X0,X1,X2)),X0) )
| ~ in(sK6(X0,X1,X2),X2) )
& ( ( in(sK7(X0,X1,X2),X1)
& in(ordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0) )
| in(sK6(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ( in(sK8(X0,X1,X6),X1)
& in(ordered_pair(sK8(X0,X1,X6),X6),X0) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f381,f384,f383,f382]) ).
fof(f434,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f435,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f434]) ).
fof(f436,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK29(X0,X1),X1)
& in(sK29(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f437,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK29(X0,X1),X1)
& in(sK29(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f435,f436]) ).
fof(f511,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(nnf_transformation,[],[f292]) ).
fof(f512,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(flattening,[],[f511]) ).
fof(f513,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X0),X2)
& in(X4,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(rectify,[],[f512]) ).
fof(f514,plain,
( ? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X0),X2)
& in(X4,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) )
=> ( ( ! [X3] :
( ~ in(X3,sK58)
| ~ in(ordered_pair(X3,sK57),sK59)
| ~ in(X3,relation_dom(sK59)) )
| ~ in(sK57,relation_image(sK59,sK58)) )
& ( ? [X4] :
( in(X4,sK58)
& in(ordered_pair(X4,sK57),sK59)
& in(X4,relation_dom(sK59)) )
| in(sK57,relation_image(sK59,sK58)) )
& relation(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f515,plain,
( ? [X4] :
( in(X4,sK58)
& in(ordered_pair(X4,sK57),sK59)
& in(X4,relation_dom(sK59)) )
=> ( in(sK60,sK58)
& in(ordered_pair(sK60,sK57),sK59)
& in(sK60,relation_dom(sK59)) ) ),
introduced(choice_axiom,[]) ).
fof(f516,plain,
( ( ! [X3] :
( ~ in(X3,sK58)
| ~ in(ordered_pair(X3,sK57),sK59)
| ~ in(X3,relation_dom(sK59)) )
| ~ in(sK57,relation_image(sK59,sK58)) )
& ( ( in(sK60,sK58)
& in(ordered_pair(sK60,sK57),sK59)
& in(sK60,relation_dom(sK59)) )
| in(sK57,relation_image(sK59,sK58)) )
& relation(sK59) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57,sK58,sK59,sK60])],[f513,f515,f514]) ).
fof(f572,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(sK8(X0,X1,X6),X6),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f385]) ).
fof(f573,plain,
! [X2,X0,X1,X6] :
( in(sK8(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f385]) ).
fof(f574,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f385]) ).
fof(f630,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f437]) ).
fof(f661,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f774,plain,
relation(sK59),
inference(cnf_transformation,[],[f516]) ).
fof(f776,plain,
( in(ordered_pair(sK60,sK57),sK59)
| in(sK57,relation_image(sK59,sK58)) ),
inference(cnf_transformation,[],[f516]) ).
fof(f777,plain,
( in(sK60,sK58)
| in(sK57,relation_image(sK59,sK58)) ),
inference(cnf_transformation,[],[f516]) ).
fof(f778,plain,
! [X3] :
( ~ in(X3,sK58)
| ~ in(ordered_pair(X3,sK57),sK59)
| ~ in(X3,relation_dom(sK59))
| ~ in(sK57,relation_image(sK59,sK58)) ),
inference(cnf_transformation,[],[f516]) ).
fof(f785,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f299]) ).
fof(f854,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f180]) ).
fof(f883,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f661,f854]) ).
fof(f905,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X7,X6),unordered_pair(X7,X7)),X0)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f574,f883]) ).
fof(f906,plain,
! [X2,X0,X1,X6] :
( in(unordered_pair(unordered_pair(sK8(X0,X1,X6),X6),unordered_pair(sK8(X0,X1,X6),sK8(X0,X1,X6))),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f572,f883]) ).
fof(f971,plain,
! [X3] :
( ~ in(X3,sK58)
| ~ in(unordered_pair(unordered_pair(X3,sK57),unordered_pair(X3,X3)),sK59)
| ~ in(X3,relation_dom(sK59))
| ~ in(sK57,relation_image(sK59,sK58)) ),
inference(definition_unfolding,[],[f778,f883]) ).
fof(f972,plain,
( in(unordered_pair(unordered_pair(sK60,sK57),unordered_pair(sK60,sK60)),sK59)
| in(sK57,relation_image(sK59,sK58)) ),
inference(definition_unfolding,[],[f776,f883]) ).
fof(f977,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f785,f883]) ).
fof(f1015,plain,
! [X0,X1,X6,X7] :
( in(X6,relation_image(X0,X1))
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X7,X6),unordered_pair(X7,X7)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f905]) ).
fof(f1016,plain,
! [X0,X1,X6] :
( in(sK8(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f573]) ).
fof(f1017,plain,
! [X0,X1,X6] :
( in(unordered_pair(unordered_pair(sK8(X0,X1,X6),X6),unordered_pair(sK8(X0,X1,X6),sK8(X0,X1,X6))),X0)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f906]) ).
cnf(c_79,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ in(X0,X3)
| ~ relation(X2)
| in(X1,relation_image(X2,X3)) ),
inference(cnf_transformation,[],[f1015]) ).
cnf(c_80,plain,
( ~ in(X0,relation_image(X1,X2))
| ~ relation(X1)
| in(sK8(X1,X2,X0),X2) ),
inference(cnf_transformation,[],[f1016]) ).
cnf(c_81,plain,
( ~ in(X0,relation_image(X1,X2))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK8(X1,X2,X0),X0),unordered_pair(sK8(X1,X2,X0),sK8(X1,X2,X0))),X1) ),
inference(cnf_transformation,[],[f1017]) ).
cnf(c_136,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf_transformation,[],[f630]) ).
cnf(c_277,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(X0,sK57),unordered_pair(X0,X0)),sK59)
| ~ in(sK57,relation_image(sK59,sK58))
| ~ in(X0,relation_dom(sK59))
| ~ in(X0,sK58) ),
inference(cnf_transformation,[],[f971]) ).
cnf(c_278,negated_conjecture,
( in(sK57,relation_image(sK59,sK58))
| in(sK60,sK58) ),
inference(cnf_transformation,[],[f777]) ).
cnf(c_279,negated_conjecture,
( in(unordered_pair(unordered_pair(sK60,sK57),unordered_pair(sK60,sK60)),sK59)
| in(sK57,relation_image(sK59,sK58)) ),
inference(cnf_transformation,[],[f972]) ).
cnf(c_281,negated_conjecture,
relation(sK59),
inference(cnf_transformation,[],[f774]) ).
cnf(c_289,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(cnf_transformation,[],[f977]) ).
cnf(c_1859,plain,
( ~ in(sK57,relation_image(sK59,sK58))
| ~ relation(sK59)
| in(sK8(sK59,sK58,sK57),sK58) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_2329,plain,
( ~ in(unordered_pair(unordered_pair(sK60,sK57),unordered_pair(sK60,sK60)),sK59)
| ~ subset(sK59,X0)
| in(unordered_pair(unordered_pair(sK60,sK57),unordered_pair(sK60,sK60)),X0) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_2477,plain,
( ~ in(unordered_pair(unordered_pair(sK60,sK57),unordered_pair(sK60,sK60)),sK59)
| ~ in(sK60,X0)
| ~ relation(sK59)
| in(sK57,relation_image(sK59,X0)) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_3586,plain,
( ~ in(sK57,relation_image(sK59,sK58))
| ~ relation(sK59)
| in(unordered_pair(unordered_pair(sK8(sK59,sK58,sK57),sK57),unordered_pair(sK8(sK59,sK58,sK57),sK8(sK59,sK58,sK57))),sK59) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_3781,plain,
( ~ in(unordered_pair(unordered_pair(sK8(sK59,sK58,sK57),sK57),unordered_pair(sK8(sK59,sK58,sK57),sK8(sK59,sK58,sK57))),sK59)
| ~ in(sK8(sK59,sK58,sK57),relation_dom(sK59))
| ~ in(sK8(sK59,sK58,sK57),sK58)
| ~ in(sK57,relation_image(sK59,sK58)) ),
inference(instantiation,[status(thm)],[c_277]) ).
cnf(c_10726,plain,
( ~ in(unordered_pair(unordered_pair(sK8(sK59,sK58,sK57),sK57),unordered_pair(sK8(sK59,sK58,sK57),sK8(sK59,sK58,sK57))),sK59)
| ~ relation(sK59)
| in(sK8(sK59,sK58,sK57),relation_dom(sK59)) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_10780,plain,
( ~ subset(relation_image(sK59,sK58),X0)
| in(sK57,X0)
| in(sK60,sK58) ),
inference(superposition,[status(thm)],[c_278,c_136]) ).
cnf(c_10781,plain,
( ~ subset(sK59,X0)
| in(unordered_pair(unordered_pair(sK60,sK57),unordered_pair(sK60,sK60)),X0)
| in(sK57,relation_image(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_279,c_136]) ).
cnf(c_11221,plain,
in(sK60,sK58),
inference(global_subsumption_just,[status(thm)],[c_10780,c_281,c_278,c_1859,c_3586,c_3781,c_10726]) ).
cnf(c_11920,plain,
( in(unordered_pair(unordered_pair(sK60,sK57),unordered_pair(sK60,sK60)),X0)
| ~ subset(sK59,X0) ),
inference(global_subsumption_just,[status(thm)],[c_10781,c_281,c_279,c_1859,c_2329,c_3586,c_3781,c_10726]) ).
cnf(c_11921,plain,
( ~ subset(sK59,X0)
| in(unordered_pair(unordered_pair(sK60,sK57),unordered_pair(sK60,sK60)),X0) ),
inference(renaming,[status(thm)],[c_11920]) ).
cnf(c_11943,plain,
( ~ in(sK57,relation_image(sK59,sK58))
| ~ in(sK60,relation_dom(sK59))
| ~ in(sK60,sK58)
| ~ subset(sK59,sK59) ),
inference(superposition,[status(thm)],[c_11921,c_277]) ).
cnf(c_13068,plain,
~ in(sK57,relation_image(sK59,sK58)),
inference(global_subsumption_just,[status(thm)],[c_11943,c_281,c_1859,c_3586,c_3781,c_10726]) ).
cnf(c_17631,plain,
( ~ in(unordered_pair(unordered_pair(sK60,sK57),unordered_pair(sK60,sK60)),sK59)
| ~ in(sK60,sK58)
| ~ relation(sK59)
| in(sK57,relation_image(sK59,sK58)) ),
inference(instantiation,[status(thm)],[c_2477]) ).
cnf(c_17632,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17631,c_13068,c_11221,c_279,c_281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU203+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 18:50:42 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.22/3.28 % SZS status Started for theBenchmark.p
% 17.22/3.28 % SZS status Theorem for theBenchmark.p
% 17.22/3.28
% 17.22/3.28 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.22/3.28
% 17.22/3.28 ------ iProver source info
% 17.22/3.28
% 17.22/3.28 git: date: 2023-05-31 18:12:56 +0000
% 17.22/3.28 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.22/3.28 git: non_committed_changes: false
% 17.22/3.28 git: last_make_outside_of_git: false
% 17.22/3.28
% 17.22/3.28 ------ Parsing...
% 17.22/3.28 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.22/3.28
% 17.22/3.28 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 17.22/3.28
% 17.22/3.28 ------ Preprocessing...
% 17.22/3.28
% 17.22/3.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.22/3.28 ------ Proving...
% 17.22/3.28 ------ Problem Properties
% 17.22/3.28
% 17.22/3.28
% 17.22/3.28 clauses 313
% 17.22/3.28 conjectures 25
% 17.22/3.28 EPR 32
% 17.22/3.28 Horn 249
% 17.22/3.28 unary 52
% 17.22/3.28 binary 105
% 17.22/3.28 lits 829
% 17.22/3.28 lits eq 161
% 17.22/3.28 fd_pure 0
% 17.22/3.28 fd_pseudo 0
% 17.22/3.28 fd_cond 13
% 17.22/3.28 fd_pseudo_cond 65
% 17.22/3.28 AC symbols 0
% 17.22/3.28
% 17.22/3.28 ------ Input Options Time Limit: Unbounded
% 17.22/3.28
% 17.22/3.28
% 17.22/3.28 ------
% 17.22/3.28 Current options:
% 17.22/3.28 ------
% 17.22/3.28
% 17.22/3.28
% 17.22/3.28
% 17.22/3.28
% 17.22/3.28 ------ Proving...
% 17.22/3.28
% 17.22/3.28
% 17.22/3.28 % SZS status Theorem for theBenchmark.p
% 17.22/3.28
% 17.22/3.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.22/3.28
% 17.22/3.29
%------------------------------------------------------------------------------