TSTP Solution File: SEU206+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU206+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 17:04:41 EDT 2023
% Result : Theorem 7.83s 1.69s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 60 ( 7 unt; 0 def)
% Number of atoms : 292 ( 49 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 376 ( 144 ~; 154 |; 51 &)
% ( 12 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 1 con; 0-3 aty)
% Number of variables : 202 ( 1 sgn; 145 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f7,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f9,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(f38,conjecture,
! [X0] :
( relation(X0)
=> relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(negated_conjecture,[],[f38]) ).
fof(f51,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,[],[f5]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f63,plain,
? [X0] :
( relation_rng(X0) != relation_image(X0,relation_dom(X0))
& relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f75,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,[],[f51]) ).
fof(f76,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,[],[f75]) ).
fof(f77,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,sK0(X0,X1,X2)),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK0(X0,X1,X2)),X0) )
| in(sK0(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK0(X0,X1,X2)),X0) )
=> ( in(sK1(X0,X1,X2),X1)
& in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0,X1,X6] :
( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X8,X6),X0) )
=> ( in(sK2(X0,X1,X6),X1)
& in(ordered_pair(sK2(X0,X1,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),X1)
& in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ( in(sK2(X0,X1,X6),X1)
& in(ordered_pair(sK2(X0,X1,X6),X6),X0) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f76,f79,f78,f77]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0)
| ~ in(sK4(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK4(X0,X1),X4),X0)
| in(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK4(X0,X1),X4),X0)
=> in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK6(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK6(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f86,f89,f88,f87]) ).
fof(f91,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,[],[f54]) ).
fof(f92,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,[],[f91]) ).
fof(f93,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,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK7(X0,X1)),X0)
=> in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK9(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK9(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f92,f95,f94,f93]) ).
fof(f111,plain,
( ? [X0] :
( relation_rng(X0) != relation_image(X0,relation_dom(X0))
& relation(X0) )
=> ( relation_rng(sK17) != relation_image(sK17,relation_dom(sK17))
& relation(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( relation_rng(sK17) != relation_image(sK17,relation_dom(sK17))
& relation(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f63,f111]) ).
fof(f123,plain,
! [X2,X0,X1] :
( relation_image(X0,X1) = X2
| in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0)
| in(sK0(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( relation_image(X0,X1) = X2
| ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0)
| ~ in(sK0(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f130,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f133,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK9(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f134,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f137,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f164,plain,
relation(sK17),
inference(cnf_transformation,[],[f112]) ).
fof(f165,plain,
relation_rng(sK17) != relation_image(sK17,relation_dom(sK17)),
inference(cnf_transformation,[],[f112]) ).
fof(f175,plain,
! [X2,X0,X1,X4] :
( relation_image(X0,X1) = X2
| ~ in(X4,X1)
| ~ in(unordered_pair(unordered_pair(X4,sK0(X0,X1,X2)),singleton(X4)),X0)
| ~ in(sK0(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f125,f137]) ).
fof(f176,plain,
! [X2,X0,X1] :
( relation_image(X0,X1) = X2
| in(unordered_pair(unordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),singleton(sK1(X0,X1,X2))),X0)
| in(sK0(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f123,f137]) ).
fof(f181,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f130,f137]) ).
fof(f185,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f134,f137]) ).
fof(f186,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK9(X0,X5),X5),singleton(sK9(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f133,f137]) ).
fof(f193,plain,
! [X0,X6,X5] :
( in(X5,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f181]) ).
fof(f195,plain,
! [X0,X6,X5] :
( in(X5,relation_rng(X0))
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f196,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK9(X0,X5),X5),singleton(sK9(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f186]) ).
cnf(c_55,plain,
( ~ in(unordered_pair(unordered_pair(X0,sK0(X1,X2,X3)),singleton(X0)),X1)
| ~ in(sK0(X1,X2,X3),X3)
| ~ in(X0,X2)
| ~ relation(X1)
| relation_image(X1,X2) = X3 ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_57,plain,
( ~ relation(X0)
| relation_image(X0,X1) = X2
| in(unordered_pair(unordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),singleton(sK1(X0,X1,X2))),X0)
| in(sK0(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_66,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_70,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_71,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK9(X1,X0),X0),singleton(sK9(X1,X0))),X1) ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_98,negated_conjecture,
relation_image(sK17,relation_dom(sK17)) != relation_rng(sK17),
inference(cnf_transformation,[],[f165]) ).
cnf(c_99,negated_conjecture,
relation(sK17),
inference(cnf_transformation,[],[f164]) ).
cnf(c_4704,plain,
( ~ relation(sK17)
| relation_image(sK17,relation_dom(sK17)) = relation_rng(sK17)
| in(unordered_pair(unordered_pair(sK1(sK17,relation_dom(sK17),relation_rng(sK17)),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK1(sK17,relation_dom(sK17),relation_rng(sK17)))),sK17)
| in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_5043,plain,
( ~ in(unordered_pair(unordered_pair(X0,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(X0)),sK17)
| ~ in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17))
| ~ in(X0,relation_dom(sK17))
| ~ relation(sK17)
| relation_image(sK17,relation_dom(sK17)) = relation_rng(sK17) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_5047,plain,
( ~ in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17))
| ~ relation(sK17)
| in(unordered_pair(unordered_pair(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))))),sK17) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_5083,plain,
( ~ in(unordered_pair(unordered_pair(sK1(sK17,relation_dom(sK17),relation_rng(sK17)),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK1(sK17,relation_dom(sK17),relation_rng(sK17)))),sK17)
| ~ relation(sK17)
| in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17)) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_6372,plain,
( ~ in(unordered_pair(unordered_pair(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))))),sK17)
| ~ relation(sK17)
| in(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),relation_dom(sK17)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_11455,plain,
( ~ in(unordered_pair(unordered_pair(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),sK0(sK17,relation_dom(sK17),relation_rng(sK17))),singleton(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))))),sK17)
| ~ in(sK9(sK17,sK0(sK17,relation_dom(sK17),relation_rng(sK17))),relation_dom(sK17))
| ~ in(sK0(sK17,relation_dom(sK17),relation_rng(sK17)),relation_rng(sK17))
| ~ relation(sK17)
| relation_image(sK17,relation_dom(sK17)) = relation_rng(sK17) ),
inference(instantiation,[status(thm)],[c_5043]) ).
cnf(c_11456,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11455,c_6372,c_5083,c_5047,c_4704,c_98,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU206+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 15:10:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.83/1.69 % SZS status Started for theBenchmark.p
% 7.83/1.69 % SZS status Theorem for theBenchmark.p
% 7.83/1.69
% 7.83/1.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.83/1.69
% 7.83/1.69 ------ iProver source info
% 7.83/1.69
% 7.83/1.69 git: date: 2023-05-31 18:12:56 +0000
% 7.83/1.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.83/1.69 git: non_committed_changes: false
% 7.83/1.69 git: last_make_outside_of_git: false
% 7.83/1.69
% 7.83/1.69 ------ Parsing...
% 7.83/1.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.83/1.69
% 7.83/1.69 ------ 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
% 7.83/1.69
% 7.83/1.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.83/1.69
% 7.83/1.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.83/1.69 ------ Proving...
% 7.83/1.69 ------ Problem Properties
% 7.83/1.69
% 7.83/1.69
% 7.83/1.69 clauses 56
% 7.83/1.69 conjectures 2
% 7.83/1.69 EPR 21
% 7.83/1.69 Horn 49
% 7.83/1.69 unary 18
% 7.83/1.69 binary 16
% 7.83/1.69 lits 125
% 7.83/1.69 lits eq 12
% 7.83/1.69 fd_pure 0
% 7.83/1.69 fd_pseudo 0
% 7.83/1.69 fd_cond 1
% 7.83/1.69 fd_pseudo_cond 9
% 7.83/1.69 AC symbols 0
% 7.83/1.69
% 7.83/1.69 ------ Input Options Time Limit: Unbounded
% 7.83/1.69
% 7.83/1.69
% 7.83/1.69 ------
% 7.83/1.69 Current options:
% 7.83/1.69 ------
% 7.83/1.69
% 7.83/1.69
% 7.83/1.69
% 7.83/1.69
% 7.83/1.69 ------ Proving...
% 7.83/1.69
% 7.83/1.69
% 7.83/1.69 % SZS status Theorem for theBenchmark.p
% 7.83/1.69
% 7.83/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.83/1.70
% 7.83/1.70
%------------------------------------------------------------------------------