TSTP Solution File: SEU197+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU197+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 17:04:36 EDT 2023
% Result : Theorem 118.77s 16.93s
% Output : CNFRefutation 118.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 77 ( 8 unt; 0 def)
% Number of atoms : 359 ( 31 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 474 ( 192 ~; 199 |; 59 &)
% ( 10 <=>; 13 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 223 ( 3 sgn; 147 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( relation_rng_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f28,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f30,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(f61,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f112,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,relation_rng(X2))
& in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f113,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,relation_rng(X2))
& in(X0,X1) ) ) ),
inference(negated_conjecture,[],[f112]) ).
fof(f124,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(f172,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f208,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f234,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f271,plain,
? [X0,X1,X2] :
( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<~> ( in(X0,relation_rng(X2))
& in(X0,X1) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f113]) ).
fof(f283,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,[],[f124]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f283]) ).
fof(f360,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f208]) ).
fof(f361,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(flattening,[],[f360]) ).
fof(f362,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0) )
& ( ( in(ordered_pair(X5,X6),X1)
& in(X6,X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(rectify,[],[f361]) ).
fof(f363,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) )
=> ( ( ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X1)
| ~ in(sK5(X0,X1,X2),X0)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X1)
& in(sK5(X0,X1,X2),X0) )
| in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f364,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ( ( ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X1)
| ~ in(sK5(X0,X1,X2),X0)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X1)
& in(sK5(X0,X1,X2),X0) )
| in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0) )
& ( ( in(ordered_pair(X5,X6),X1)
& in(X6,X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f362,f363]) ).
fof(f439,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f216]) ).
fof(f440,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f439]) ).
fof(f441,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK35(X0,X1)),X0)
| ~ in(sK35(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK35(X0,X1)),X0)
| in(sK35(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f442,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK35(X0,X1)),X0)
=> in(ordered_pair(sK36(X0,X1),sK35(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f443,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK37(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f444,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK35(X0,X1)),X0)
| ~ in(sK35(X0,X1),X1) )
& ( in(ordered_pair(sK36(X0,X1),sK35(X0,X1)),X0)
| in(sK35(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK37(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36,sK37])],[f440,f443,f442,f441]) ).
fof(f485,plain,
? [X0,X1,X2] :
( ( ~ in(X0,relation_rng(X2))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& relation(X2) ),
inference(nnf_transformation,[],[f271]) ).
fof(f486,plain,
? [X0,X1,X2] :
( ( ~ in(X0,relation_rng(X2))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& relation(X2) ),
inference(flattening,[],[f485]) ).
fof(f487,plain,
( ? [X0,X1,X2] :
( ( ~ in(X0,relation_rng(X2))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& relation(X2) )
=> ( ( ~ in(sK53,relation_rng(sK55))
| ~ in(sK53,sK54)
| ~ in(sK53,relation_rng(relation_rng_restriction(sK54,sK55))) )
& ( ( in(sK53,relation_rng(sK55))
& in(sK53,sK54) )
| in(sK53,relation_rng(relation_rng_restriction(sK54,sK55))) )
& relation(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f488,plain,
( ( ~ in(sK53,relation_rng(sK55))
| ~ in(sK53,sK54)
| ~ in(sK53,relation_rng(relation_rng_restriction(sK54,sK55))) )
& ( ( in(sK53,relation_rng(sK55))
& in(sK53,sK54) )
| in(sK53,relation_rng(relation_rng_restriction(sK54,sK55))) )
& relation(sK55) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55])],[f486,f487]) ).
fof(f541,plain,
! [X2,X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f364]) ).
fof(f542,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f364]) ).
fof(f543,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f364]) ).
fof(f625,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK37(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f444]) ).
fof(f630,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f660,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f728,plain,
relation(sK55),
inference(cnf_transformation,[],[f488]) ).
fof(f729,plain,
( in(sK53,sK54)
| in(sK53,relation_rng(relation_rng_restriction(sK54,sK55))) ),
inference(cnf_transformation,[],[f488]) ).
fof(f730,plain,
( in(sK53,relation_rng(sK55))
| in(sK53,relation_rng(relation_rng_restriction(sK54,sK55))) ),
inference(cnf_transformation,[],[f488]) ).
fof(f731,plain,
( ~ in(sK53,relation_rng(sK55))
| ~ in(sK53,sK54)
| ~ in(sK53,relation_rng(relation_rng_restriction(sK54,sK55))) ),
inference(cnf_transformation,[],[f488]) ).
fof(f746,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f814,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f172]) ).
fof(f843,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f630,f814]) ).
fof(f860,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),X2)
| ~ in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),X1)
| ~ in(X6,X0)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f543,f843,f843]) ).
fof(f861,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f542,f843,f843]) ).
fof(f862,plain,
! [X2,X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f541,f843]) ).
fof(f893,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK37(X0,X5),X5),unordered_pair(sK37(X0,X5),sK37(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f625,f843]) ).
fof(f929,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f746,f843]) ).
fof(f965,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),relation_rng_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),X1)
| ~ in(X6,X0)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f860]) ).
fof(f966,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f861]) ).
fof(f967,plain,
! [X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f862]) ).
fof(f1008,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK37(X0,X5),X5),unordered_pair(sK37(X0,X5),sK37(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f893]) ).
cnf(c_73,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(relation_rng_restriction(X3,X2))
| ~ in(X1,X3)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_rng_restriction(X3,X2)) ),
inference(cnf_transformation,[],[f965]) ).
cnf(c_74,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_rng_restriction(X2,X3))
| ~ relation(relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X3) ),
inference(cnf_transformation,[],[f966]) ).
cnf(c_75,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_rng_restriction(X2,X3))
| ~ relation(relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(cnf_transformation,[],[f967]) ).
cnf(c_157,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK37(X1,X0),X0),unordered_pair(sK37(X1,X0),sK37(X1,X0))),X1) ),
inference(cnf_transformation,[],[f1008]) ).
cnf(c_188,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f660]) ).
cnf(c_256,negated_conjecture,
( ~ in(sK53,relation_rng(relation_rng_restriction(sK54,sK55)))
| ~ in(sK53,relation_rng(sK55))
| ~ in(sK53,sK54) ),
inference(cnf_transformation,[],[f731]) ).
cnf(c_257,negated_conjecture,
( in(sK53,relation_rng(relation_rng_restriction(sK54,sK55)))
| in(sK53,relation_rng(sK55)) ),
inference(cnf_transformation,[],[f730]) ).
cnf(c_258,negated_conjecture,
( in(sK53,relation_rng(relation_rng_restriction(sK54,sK55)))
| in(sK53,sK54) ),
inference(cnf_transformation,[],[f729]) ).
cnf(c_259,negated_conjecture,
relation(sK55),
inference(cnf_transformation,[],[f728]) ).
cnf(c_273,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f929]) ).
cnf(c_627,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(prop_impl_just,[status(thm)],[c_188]) ).
cnf(c_1531,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_75,c_627]) ).
cnf(c_1532,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ in(X1,X3)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_rng_restriction(X3,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_73,c_627]) ).
cnf(c_1533,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_74,c_627]) ).
cnf(c_10305,plain,
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ relation(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| in(X0,X1) ),
inference(superposition,[status(thm)],[c_157,c_1531]) ).
cnf(c_10312,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(relation_rng_restriction(X3,X2))
| ~ in(X1,X3)
| ~ relation(X2)
| in(X1,relation_rng(relation_rng_restriction(X3,X2))) ),
inference(superposition,[status(thm)],[c_1532,c_273]) ).
cnf(c_10319,plain,
( ~ relation(relation_rng_restriction(sK54,sK55))
| ~ relation(sK55)
| in(sK53,sK54) ),
inference(superposition,[status(thm)],[c_258,c_10305]) ).
cnf(c_10321,plain,
( ~ in(sK53,relation_rng(relation_rng_restriction(sK54,sK55)))
| ~ relation(relation_rng_restriction(sK54,sK55))
| in(unordered_pair(unordered_pair(sK37(relation_rng_restriction(sK54,sK55),sK53),sK53),unordered_pair(sK37(relation_rng_restriction(sK54,sK55),sK53),sK37(relation_rng_restriction(sK54,sK55),sK53))),relation_rng_restriction(sK54,sK55)) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_10328,plain,
( ~ in(unordered_pair(unordered_pair(sK37(relation_rng_restriction(sK54,sK55),sK53),sK53),unordered_pair(sK37(relation_rng_restriction(sK54,sK55),sK53),sK37(relation_rng_restriction(sK54,sK55),sK53))),relation_rng_restriction(sK54,sK55))
| ~ relation(sK55)
| in(unordered_pair(unordered_pair(sK37(relation_rng_restriction(sK54,sK55),sK53),sK53),unordered_pair(sK37(relation_rng_restriction(sK54,sK55),sK53),sK37(relation_rng_restriction(sK54,sK55),sK53))),sK55) ),
inference(instantiation,[status(thm)],[c_1533]) ).
cnf(c_10330,plain,
( ~ relation(relation_rng_restriction(sK54,sK55))
| in(sK53,sK54) ),
inference(global_subsumption_just,[status(thm)],[c_10319,c_259,c_10319]) ).
cnf(c_10332,plain,
( ~ relation(sK55)
| in(sK53,sK54) ),
inference(superposition,[status(thm)],[c_188,c_10330]) ).
cnf(c_10339,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(relation_rng_restriction(X2,X1))
| ~ in(X0,X2)
| ~ relation(X1)
| in(X0,relation_rng(relation_rng_restriction(X2,X1))) ),
inference(superposition,[status(thm)],[c_157,c_10312]) ).
cnf(c_10343,plain,
( ~ in(sK53,relation_rng(sK55))
| ~ relation(relation_rng_restriction(sK54,sK55))
| ~ in(sK53,sK54)
| ~ relation(sK55) ),
inference(superposition,[status(thm)],[c_10339,c_256]) ).
cnf(c_10348,plain,
( ~ relation(sK55)
| relation(relation_rng_restriction(sK54,sK55)) ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_10360,plain,
( ~ in(unordered_pair(unordered_pair(sK37(relation_rng_restriction(sK54,sK55),sK53),sK53),unordered_pair(sK37(relation_rng_restriction(sK54,sK55),sK53),sK37(relation_rng_restriction(sK54,sK55),sK53))),sK55)
| ~ relation(sK55)
| in(sK53,relation_rng(sK55)) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_10361,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10360,c_10348,c_10343,c_10332,c_10328,c_10321,c_257,c_259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU197+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.18/0.35 % Computer : n012.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Wed Aug 23 19:12:57 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 118.77/16.93 % SZS status Started for theBenchmark.p
% 118.77/16.93 % SZS status Theorem for theBenchmark.p
% 118.77/16.93
% 118.77/16.93 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 118.77/16.93
% 118.77/16.93 ------ iProver source info
% 118.77/16.93
% 118.77/16.93 git: date: 2023-05-31 18:12:56 +0000
% 118.77/16.93 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 118.77/16.93 git: non_committed_changes: false
% 118.77/16.93 git: last_make_outside_of_git: false
% 118.77/16.93
% 118.77/16.93 ------ Parsing...
% 118.77/16.93 ------ Clausification by vclausify_rel & Parsing by iProver...
% 118.77/16.93
% 118.77/16.93 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 118.77/16.93
% 118.77/16.93 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 118.77/16.93
% 118.77/16.93 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 118.77/16.93 ------ Proving...
% 118.77/16.93 ------ Problem Properties
% 118.77/16.93
% 118.77/16.93
% 118.77/16.93 clauses 287
% 118.77/16.93 conjectures 4
% 118.77/16.93 EPR 34
% 118.77/16.93 Horn 226
% 118.77/16.93 unary 46
% 118.77/16.93 binary 100
% 118.77/16.93 lits 746
% 118.77/16.93 lits eq 156
% 118.77/16.93 fd_pure 0
% 118.77/16.93 fd_pseudo 0
% 118.77/16.93 fd_cond 13
% 118.77/16.93 fd_pseudo_cond 62
% 118.77/16.93 AC symbols 0
% 118.77/16.93
% 118.77/16.93 ------ Input Options Time Limit: Unbounded
% 118.77/16.93
% 118.77/16.93
% 118.77/16.93 ------
% 118.77/16.93 Current options:
% 118.77/16.93 ------
% 118.77/16.93
% 118.77/16.93
% 118.77/16.93
% 118.77/16.93
% 118.77/16.93 ------ Proving...
% 118.77/16.93
% 118.77/16.93
% 118.77/16.93 % SZS status Theorem for theBenchmark.p
% 118.77/16.93
% 118.77/16.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 118.77/16.93
% 118.77/16.94
%------------------------------------------------------------------------------