TSTP Solution File: SEU197+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU197+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 17:04:35 EDT 2023
% Result : Theorem 13.03s 2.73s
% Output : CNFRefutation 13.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 88 ( 11 unt; 0 def)
% Number of atoms : 389 ( 33 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 519 ( 218 ~; 223 |; 56 &)
% ( 10 <=>; 11 =>; 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 : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 270 ( 5 sgn; 143 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f4,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(f5,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(f6,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(f12,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f26,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(f27,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,[],[f26]) ).
fof(f35,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,[],[f4]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f41,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,[],[f27]) ).
fof(f48,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,[],[f35]) ).
fof(f49,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,[],[f48]) ).
fof(f50,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,[],[f49]) ).
fof(f51,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(f52,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])],[f50,f51]) ).
fof(f53,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,[],[f36]) ).
fof(f54,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,[],[f53]) ).
fof(f55,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,sK2(X0,X1)),X0)
| ~ in(sK2(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK2(X0,X1)),X0)
| in(sK2(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK2(X0,X1)),X0)
=> in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK4(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK2(X0,X1)),X0)
| ~ in(sK2(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0)
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK4(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f54,f57,f56,f55]) ).
fof(f69,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,[],[f41]) ).
fof(f70,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,[],[f69]) ).
fof(f71,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(sK10,relation_rng(sK12))
| ~ in(sK10,sK11)
| ~ in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) )
& ( ( in(sK10,relation_rng(sK12))
& in(sK10,sK11) )
| in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) )
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ( ~ in(sK10,relation_rng(sK12))
| ~ in(sK10,sK11)
| ~ in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) )
& ( ( in(sK10,relation_rng(sK12))
& in(sK10,sK11) )
| in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) )
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f70,f71]) ).
fof(f75,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f76,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,[],[f52]) ).
fof(f77,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,[],[f52]) ).
fof(f78,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,[],[f52]) ).
fof(f82,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK4(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f83,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f86,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f87,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f104,plain,
relation(sK12),
inference(cnf_transformation,[],[f72]) ).
fof(f105,plain,
( in(sK10,sK11)
| in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) ),
inference(cnf_transformation,[],[f72]) ).
fof(f106,plain,
( in(sK10,relation_rng(sK12))
| in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) ),
inference(cnf_transformation,[],[f72]) ).
fof(f107,plain,
( ~ in(sK10,relation_rng(sK12))
| ~ in(sK10,sK11)
| ~ in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))) ),
inference(cnf_transformation,[],[f72]) ).
fof(f116,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(X6,X0)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f78,f86,f86]) ).
fof(f117,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,[],[f77,f86,f86]) ).
fof(f118,plain,
! [X2,X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f76,f86]) ).
fof(f121,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,[],[f83,f86]) ).
fof(f122,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK4(X0,X5),X5),singleton(sK4(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f82,f86]) ).
fof(f124,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(X6,X0)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f116]) ).
fof(f125,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,[],[f117]) ).
fof(f126,plain,
! [X0,X1,X6,X5] :
( in(X6,X0)
| ~ 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,[],[f118]) ).
fof(f127,plain,
! [X0,X6,X5] :
( in(X5,relation_rng(X0))
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f121]) ).
fof(f128,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK4(X0,X5),X5),singleton(sK4(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f122]) ).
cnf(c_51,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f75]) ).
cnf(c_55,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(relation_rng_restriction(X3,X2))
| ~ in(X1,X3)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X3,X2)) ),
inference(cnf_transformation,[],[f124]) ).
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,[],[f125]) ).
cnf(c_57,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3))
| ~ relation(relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_60,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_61,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK4(X1,X0),X0),singleton(sK4(X1,X0))),X1) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_62,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_79,negated_conjecture,
( ~ in(sK10,relation_rng(relation_rng_restriction(sK11,sK12)))
| ~ in(sK10,relation_rng(sK12))
| ~ in(sK10,sK11) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_80,negated_conjecture,
( in(sK10,relation_rng(relation_rng_restriction(sK11,sK12)))
| in(sK10,relation_rng(sK12)) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_81,negated_conjecture,
( in(sK10,relation_rng(relation_rng_restriction(sK11,sK12)))
| in(sK10,sK11) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_82,negated_conjecture,
relation(sK12),
inference(cnf_transformation,[],[f104]) ).
cnf(c_155,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_62]) ).
cnf(c_156,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_62]) ).
cnf(c_157,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ in(X1,X3)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X3,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_55,c_62]) ).
cnf(c_350,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(demodulation,[status(thm)],[c_60,c_51]) ).
cnf(c_357,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(demodulation,[status(thm)],[c_155,c_51]) ).
cnf(c_364,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(unordered_pair(singleton(sK4(X1,X0)),unordered_pair(X0,sK4(X1,X0))),X1) ),
inference(demodulation,[status(thm)],[c_61,c_51]) ).
cnf(c_371,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_156,c_51]) ).
cnf(c_387,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ in(X1,X3)
| ~ relation(X2)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_rng_restriction(X3,X2)) ),
inference(demodulation,[status(thm)],[c_157,c_51]) ).
cnf(c_1311,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(superposition,[status(thm)],[c_51,c_357]) ).
cnf(c_1313,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(superposition,[status(thm)],[c_51,c_350]) ).
cnf(c_1439,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X3) ),
inference(superposition,[status(thm)],[c_51,c_371]) ).
cnf(c_1471,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),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_387,c_350]) ).
cnf(c_1705,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_364,c_1311]) ).
cnf(c_2818,plain,
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ relation(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| in(unordered_pair(singleton(sK4(relation_rng_restriction(X1,X2),X0)),unordered_pair(sK4(relation_rng_restriction(X1,X2),X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_364,c_1439]) ).
cnf(c_3616,plain,
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ relation(X2)
| in(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1705,c_62]) ).
cnf(c_3622,plain,
( ~ relation(sK12)
| in(sK10,sK11) ),
inference(superposition,[status(thm)],[c_81,c_3616]) ).
cnf(c_3646,plain,
in(sK10,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_3622,c_82]) ).
cnf(c_3703,plain,
( ~ in(sK10,relation_rng(relation_rng_restriction(sK11,sK12)))
| ~ in(sK10,relation_rng(sK12)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_79,c_3646]) ).
cnf(c_5622,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ in(X1,X3)
| ~ relation(X2)
| in(X1,relation_rng(relation_rng_restriction(X3,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1471,c_62]) ).
cnf(c_5632,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),X2)
| ~ in(X1,X3)
| ~ relation(X2)
| in(X1,relation_rng(relation_rng_restriction(X3,X2))) ),
inference(superposition,[status(thm)],[c_51,c_5622]) ).
cnf(c_8729,plain,
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ relation(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| in(unordered_pair(singleton(sK4(relation_rng_restriction(X1,X2),X0)),unordered_pair(X0,sK4(relation_rng_restriction(X1,X2),X0))),X2) ),
inference(demodulation,[status(thm)],[c_2818,c_51]) ).
cnf(c_8734,plain,
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ relation(X2)
| in(unordered_pair(singleton(sK4(relation_rng_restriction(X1,X2),X0)),unordered_pair(X0,sK4(relation_rng_restriction(X1,X2),X0))),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8729,c_62]) ).
cnf(c_8773,plain,
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ relation(X2)
| in(X0,relation_rng(X2)) ),
inference(superposition,[status(thm)],[c_8734,c_1313]) ).
cnf(c_12716,plain,
( ~ in(X0,relation_rng(X1))
| ~ in(X0,X2)
| ~ relation(X1)
| in(X0,relation_rng(relation_rng_restriction(X2,X1))) ),
inference(superposition,[status(thm)],[c_364,c_5632]) ).
cnf(c_16545,plain,
( ~ relation(sK12)
| in(sK10,relation_rng(sK12)) ),
inference(superposition,[status(thm)],[c_80,c_8773]) ).
cnf(c_16568,plain,
in(sK10,relation_rng(sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_16545,c_82]) ).
cnf(c_16633,plain,
~ in(sK10,relation_rng(relation_rng_restriction(sK11,sK12))),
inference(backward_subsumption_resolution,[status(thm)],[c_3703,c_16568]) ).
cnf(c_56522,plain,
( ~ in(sK10,relation_rng(sK12))
| ~ in(sK10,sK11)
| ~ relation(sK12) ),
inference(superposition,[status(thm)],[c_12716,c_16633]) ).
cnf(c_56538,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_56522,c_82,c_3646,c_16568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU197+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n026.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 14:50:46 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.03/2.73 % SZS status Started for theBenchmark.p
% 13.03/2.73 % SZS status Theorem for theBenchmark.p
% 13.03/2.73
% 13.03/2.73 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.03/2.73
% 13.03/2.73 ------ iProver source info
% 13.03/2.73
% 13.03/2.73 git: date: 2023-05-31 18:12:56 +0000
% 13.03/2.73 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.03/2.73 git: non_committed_changes: false
% 13.03/2.73 git: last_make_outside_of_git: false
% 13.03/2.73
% 13.03/2.73 ------ Parsing...
% 13.03/2.73 ------ Clausification by vclausify_rel & Parsing by iProver...
% 13.03/2.73
% 13.03/2.73 ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 13.03/2.73
% 13.03/2.73 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.03/2.73
% 13.03/2.73 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 13.03/2.73 ------ Proving...
% 13.03/2.73 ------ Problem Properties
% 13.03/2.73
% 13.03/2.73
% 13.03/2.73 clauses 35
% 13.03/2.73 conjectures 4
% 13.03/2.73 EPR 14
% 13.03/2.73 Horn 29
% 13.03/2.73 unary 12
% 13.03/2.73 binary 10
% 13.03/2.73 lits 81
% 13.03/2.73 lits eq 8
% 13.03/2.73 fd_pure 0
% 13.03/2.73 fd_pseudo 0
% 13.03/2.73 fd_cond 1
% 13.03/2.73 fd_pseudo_cond 6
% 13.03/2.73 AC symbols 0
% 13.03/2.73
% 13.03/2.73 ------ Schedule dynamic 5 is on
% 13.03/2.73
% 13.03/2.73 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.03/2.73
% 13.03/2.73
% 13.03/2.73 ------
% 13.03/2.73 Current options:
% 13.03/2.73 ------
% 13.03/2.73
% 13.03/2.73
% 13.03/2.73
% 13.03/2.73
% 13.03/2.73 ------ Proving...
% 13.03/2.73
% 13.03/2.73
% 13.03/2.73 % SZS status Theorem for theBenchmark.p
% 13.03/2.73
% 13.03/2.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.03/2.73
% 13.03/2.74
%------------------------------------------------------------------------------