TSTP Solution File: SEU248+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 17:05:11 EDT 2023
% Result : Theorem 3.77s 1.16s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 12 unt; 0 def)
% Number of atoms : 292 ( 33 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 368 ( 148 ~; 148 |; 49 &)
% ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 204 ( 6 sgn; 134 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f5,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(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
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/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f8,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(f15,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f21,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l29_wellord1) ).
fof(f22,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
inference(negated_conjecture,[],[f21]) ).
fof(f44,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,[],[f5]) ).
fof(f45,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f46,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(f47,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f50,plain,
? [X0,X1] :
( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f60,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,[],[f44]) ).
fof(f61,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,[],[f60]) ).
fof(f62,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,[],[f61]) ).
fof(f63,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(sK0(X0,X1,X2),sK1(X0,X1,X2)),X1)
| ~ in(sK1(X0,X1,X2),X0)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X1)
& in(sK1(X0,X1,X2),X0) )
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ( ( ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X1)
| ~ in(sK1(X0,X1,X2),X0)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X1)
& in(sK1(X0,X1,X2),X0) )
| in(ordered_pair(sK0(X0,X1,X2),sK1(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,[sK0,sK1])],[f62,f63]) ).
fof(f65,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,[],[f45]) ).
fof(f66,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,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f66,f67]) ).
fof(f69,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,[],[f46]) ).
fof(f70,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,[],[f69]) ).
fof(f71,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(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
=> in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK5(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f70,f73,f72,f71]) ).
fof(f77,plain,
( ? [X0,X1] :
( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& relation(X1) )
=> ( ~ subset(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))
& relation(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))
& relation(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f50,f77]) ).
fof(f94,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f96,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,[],[f64]) ).
fof(f102,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f103,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f104,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f105,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f108,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f8]) ).
fof(f109,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f115,plain,
relation(sK8),
inference(cnf_transformation,[],[f78]) ).
fof(f116,plain,
~ subset(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f96,f108,f108]) ).
fof(f144,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,[],[f105,f108]) ).
fof(f145,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK5(X0,X5)),singleton(X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f104,f108]) ).
fof(f148,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f140]) ).
fof(f150,plain,
! [X0,X6,X5] :
( in(X5,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f151,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK5(X0,X5)),singleton(X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f145]) ).
cnf(c_51,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f94]) ).
cnf(c_56,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3))
| ~ relation(relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X3) ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_58,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_59,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_63,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_64,plain,
( ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(X0,sK5(X1,X0)),singleton(X0)),X1) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_65,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_71,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),
inference(cnf_transformation,[],[f116]) ).
cnf(c_72,negated_conjecture,
relation(sK8),
inference(cnf_transformation,[],[f115]) ).
cnf(c_133,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_137,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_58]) ).
cnf(c_145,plain,
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
cnf(c_146,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(renaming,[status(thm)],[c_145]) ).
cnf(c_276,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_133]) ).
cnf(c_491,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(demodulation,[status(thm)],[c_63,c_51]) ).
cnf(c_505,plain,
( ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK5(X1,X0))),X1) ),
inference(demodulation,[status(thm)],[c_64,c_51]) ).
cnf(c_512,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X3) ),
inference(demodulation,[status(thm)],[c_276,c_51]) ).
cnf(c_793,plain,
( relation_dom(relation_rng_restriction(sK7,sK8)) != X0
| relation_dom(sK8) != X1
| in(sK2(X0,X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_146,c_71]) ).
cnf(c_794,plain,
in(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),relation_dom(relation_rng_restriction(sK7,sK8))),
inference(unflattening,[status(thm)],[c_793]) ).
cnf(c_798,plain,
( relation_dom(relation_rng_restriction(sK7,sK8)) != X0
| relation_dom(sK8) != X1
| ~ in(sK2(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_137,c_71]) ).
cnf(c_799,plain,
~ in(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),relation_dom(sK8)),
inference(unflattening,[status(thm)],[c_798]) ).
cnf(c_2740,plain,
( ~ in(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),relation_dom(relation_rng_restriction(sK7,sK8)))
| ~ relation(relation_rng_restriction(sK7,sK8))
| in(unordered_pair(singleton(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))),unordered_pair(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),sK5(relation_rng_restriction(sK7,sK8),sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))))),relation_rng_restriction(sK7,sK8)) ),
inference(instantiation,[status(thm)],[c_505]) ).
cnf(c_3467,plain,
( ~ relation(sK8)
| relation(relation_rng_restriction(sK7,sK8)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_5692,plain,
( ~ in(unordered_pair(singleton(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))),unordered_pair(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),sK5(relation_rng_restriction(sK7,sK8),sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))))),relation_rng_restriction(sK7,sK8))
| ~ relation(sK8)
| in(unordered_pair(singleton(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))),unordered_pair(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),sK5(relation_rng_restriction(sK7,sK8),sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))))),sK8) ),
inference(instantiation,[status(thm)],[c_512]) ).
cnf(c_11643,plain,
( ~ in(unordered_pair(singleton(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))),unordered_pair(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),sK5(relation_rng_restriction(sK7,sK8),sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))))),sK8)
| ~ relation(sK8)
| in(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),relation_dom(sK8)) ),
inference(instantiation,[status(thm)],[c_491]) ).
cnf(c_11644,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11643,c_5692,c_3467,c_2740,c_799,c_794,c_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 16:39:41 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.77/1.16 % SZS status Started for theBenchmark.p
% 3.77/1.16 % SZS status Theorem for theBenchmark.p
% 3.77/1.16
% 3.77/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.77/1.16
% 3.77/1.16 ------ iProver source info
% 3.77/1.16
% 3.77/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.77/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.77/1.16 git: non_committed_changes: false
% 3.77/1.16 git: last_make_outside_of_git: false
% 3.77/1.16
% 3.77/1.16 ------ Parsing...
% 3.77/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.77/1.16
% 3.77/1.16 ------ Preprocessing... sup_sim: 11 sf_s rm: 7 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.77/1.16
% 3.77/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.77/1.16
% 3.77/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.77/1.16 ------ Proving...
% 3.77/1.16 ------ Problem Properties
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 clauses 37
% 3.77/1.16 conjectures 2
% 3.77/1.16 EPR 18
% 3.77/1.16 Horn 32
% 3.77/1.16 unary 13
% 3.77/1.16 binary 9
% 3.77/1.16 lits 86
% 3.77/1.16 lits eq 8
% 3.77/1.16 fd_pure 0
% 3.77/1.16 fd_pseudo 0
% 3.77/1.16 fd_cond 1
% 3.77/1.16 fd_pseudo_cond 6
% 3.77/1.16 AC symbols 0
% 3.77/1.16
% 3.77/1.16 ------ Schedule dynamic 5 is on
% 3.77/1.16
% 3.77/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 ------
% 3.77/1.16 Current options:
% 3.77/1.16 ------
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 ------ Proving...
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 % SZS status Theorem for theBenchmark.p
% 3.77/1.16
% 3.77/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.16
% 3.77/1.16
%------------------------------------------------------------------------------