TSTP Solution File: SEU179+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU179+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 17:04:26 EDT 2023
% Result : Theorem 3.73s 1.14s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 89 ( 15 unt; 0 def)
% Number of atoms : 320 ( 33 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 386 ( 155 ~; 152 |; 51 &)
% ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 226 ( 4 sgn; 132 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f4,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(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(f28,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f41,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(f44,plain,
? [X0] :
( ? [X1] :
( ( ~ subset(relation_rng(X0),relation_rng(X1))
| ~ subset(relation_dom(X0),relation_dom(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f45,plain,
? [X0] :
( ? [X1] :
( ( ~ subset(relation_rng(X0),relation_rng(X1))
| ~ subset(relation_dom(X0),relation_dom(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) ),
inference(flattening,[],[f44]) ).
fof(f54,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,[],[f39]) ).
fof(f55,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,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f55,f56]) ).
fof(f58,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,[],[f40]) ).
fof(f59,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,[],[f58]) ).
fof(f60,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(sK1(X0,X1),X3),X0)
| ~ in(sK1(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK1(X0,X1),X4),X0)
| in(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK1(X0,X1),X4),X0)
=> in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK3(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK1(X0,X1),X3),X0)
| ~ in(sK1(X0,X1),X1) )
& ( in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f59,f62,f61,f60]) ).
fof(f64,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,[],[f41]) ).
fof(f65,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,[],[f64]) ).
fof(f66,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,sK4(X0,X1)),X0)
| ~ in(sK4(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK4(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK4(X0,X1)),X0)
=> in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK6(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK4(X0,X1)),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f65,f68,f67,f66]) ).
fof(f82,plain,
( ? [X0] :
( ? [X1] :
( ( ~ subset(relation_rng(X0),relation_rng(X1))
| ~ subset(relation_dom(X0),relation_dom(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) )
=> ( ? [X1] :
( ( ~ subset(relation_rng(sK13),relation_rng(X1))
| ~ subset(relation_dom(sK13),relation_dom(X1)) )
& subset(sK13,X1)
& relation(X1) )
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X1] :
( ( ~ subset(relation_rng(sK13),relation_rng(X1))
| ~ subset(relation_dom(sK13),relation_dom(X1)) )
& subset(sK13,X1)
& relation(X1) )
=> ( ( ~ subset(relation_rng(sK13),relation_rng(sK14))
| ~ subset(relation_dom(sK13),relation_dom(sK14)) )
& subset(sK13,sK14)
& relation(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ( ~ subset(relation_rng(sK13),relation_rng(sK14))
| ~ subset(relation_dom(sK13),relation_dom(sK14)) )
& subset(sK13,sK14)
& relation(sK14)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f45,f83,f82]) ).
fof(f87,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f89,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f90,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f91,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f92,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f95,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f96,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f99,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f116,plain,
relation(sK13),
inference(cnf_transformation,[],[f84]) ).
fof(f117,plain,
relation(sK14),
inference(cnf_transformation,[],[f84]) ).
fof(f118,plain,
subset(sK13,sK14),
inference(cnf_transformation,[],[f84]) ).
fof(f119,plain,
( ~ subset(relation_rng(sK13),relation_rng(sK14))
| ~ subset(relation_dom(sK13),relation_dom(sK14)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f130,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,[],[f92,f99]) ).
fof(f131,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f91,f99]) ).
fof(f134,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,[],[f96,f99]) ).
fof(f135,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f95,f99]) ).
fof(f137,plain,
! [X0,X6,X5] :
( in(X5,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f130]) ).
fof(f138,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f131]) ).
fof(f139,plain,
! [X0,X6,X5] :
( in(X5,relation_rng(X0))
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f140,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f135]) ).
cnf(c_50,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f87]) ).
cnf(c_51,plain,
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_52,plain,
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_53,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_56,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_57,plain,
( ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(X0,sK3(X1,X0)),singleton(X0)),X1) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_60,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_61,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK6(X1,X0),X0),singleton(sK6(X1,X0))),X1) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_78,negated_conjecture,
( ~ subset(relation_dom(sK13),relation_dom(sK14))
| ~ subset(relation_rng(sK13),relation_rng(sK14)) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_79,negated_conjecture,
subset(sK13,sK14),
inference(cnf_transformation,[],[f118]) ).
cnf(c_80,negated_conjecture,
relation(sK14),
inference(cnf_transformation,[],[f117]) ).
cnf(c_81,negated_conjecture,
relation(sK13),
inference(cnf_transformation,[],[f116]) ).
cnf(c_457,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_50]) ).
cnf(c_464,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(demodulation,[status(thm)],[c_56,c_50]) ).
cnf(c_471,plain,
( ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(X1,X0))),X1) ),
inference(demodulation,[status(thm)],[c_57,c_50]) ).
cnf(c_478,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(unordered_pair(singleton(sK6(X1,X0)),unordered_pair(X0,sK6(X1,X0))),X1) ),
inference(demodulation,[status(thm)],[c_61,c_50]) ).
cnf(c_738,plain,
( X0 != sK13
| ~ in(X1,relation_rng(X0))
| in(unordered_pair(singleton(sK6(X0,X1)),unordered_pair(X1,sK6(X0,X1))),X0) ),
inference(resolution_lifted,[status(thm)],[c_478,c_81]) ).
cnf(c_739,plain,
( ~ in(X0,relation_rng(sK13))
| in(unordered_pair(singleton(sK6(sK13,X0)),unordered_pair(X0,sK6(sK13,X0))),sK13) ),
inference(unflattening,[status(thm)],[c_738]) ).
cnf(c_747,plain,
( X0 != sK13
| ~ in(X1,relation_dom(X0))
| in(unordered_pair(singleton(X1),unordered_pair(X1,sK3(X0,X1))),X0) ),
inference(resolution_lifted,[status(thm)],[c_471,c_81]) ).
cnf(c_748,plain,
( ~ in(X0,relation_dom(sK13))
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sK13,X0))),sK13) ),
inference(unflattening,[status(thm)],[c_747]) ).
cnf(c_882,plain,
( X0 != sK14
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X0)
| in(X1,relation_dom(X0)) ),
inference(resolution_lifted,[status(thm)],[c_464,c_80]) ).
cnf(c_883,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK14)
| in(X0,relation_dom(sK14)) ),
inference(unflattening,[status(thm)],[c_882]) ).
cnf(c_891,plain,
( X0 != sK14
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X0)
| in(X2,relation_rng(X0)) ),
inference(resolution_lifted,[status(thm)],[c_457,c_80]) ).
cnf(c_892,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK14)
| in(X1,relation_rng(sK14)) ),
inference(unflattening,[status(thm)],[c_891]) ).
cnf(c_2125,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),sK14)
| in(X1,relation_rng(sK14)) ),
inference(superposition,[status(thm)],[c_50,c_892]) ).
cnf(c_2641,plain,
( ~ in(X0,relation_rng(sK13))
| ~ subset(sK13,X1)
| in(unordered_pair(singleton(sK6(sK13,X0)),unordered_pair(X0,sK6(sK13,X0))),X1) ),
inference(superposition,[status(thm)],[c_739,c_53]) ).
cnf(c_2642,plain,
( ~ in(X0,relation_dom(sK13))
| ~ subset(sK13,X1)
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sK13,X0))),X1) ),
inference(superposition,[status(thm)],[c_748,c_53]) ).
cnf(c_4927,plain,
( ~ in(X0,relation_dom(sK13))
| ~ subset(sK13,sK14)
| in(X0,relation_dom(sK14)) ),
inference(superposition,[status(thm)],[c_2642,c_883]) ).
cnf(c_4932,plain,
( ~ in(X0,relation_dom(sK13))
| in(X0,relation_dom(sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4927,c_79]) ).
cnf(c_4995,plain,
( in(sK0(relation_dom(sK13),X0),relation_dom(sK14))
| subset(relation_dom(sK13),X0) ),
inference(superposition,[status(thm)],[c_52,c_4932]) ).
cnf(c_5273,plain,
subset(relation_dom(sK13),relation_dom(sK14)),
inference(superposition,[status(thm)],[c_4995,c_51]) ).
cnf(c_5289,plain,
~ subset(relation_rng(sK13),relation_rng(sK14)),
inference(backward_subsumption_resolution,[status(thm)],[c_78,c_5273]) ).
cnf(c_6257,plain,
( ~ in(X0,relation_rng(sK13))
| ~ subset(sK13,sK14)
| in(X0,relation_rng(sK14)) ),
inference(superposition,[status(thm)],[c_2641,c_2125]) ).
cnf(c_6260,plain,
( ~ in(X0,relation_rng(sK13))
| in(X0,relation_rng(sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6257,c_79]) ).
cnf(c_6355,plain,
( in(sK0(relation_rng(sK13),X0),relation_rng(sK14))
| subset(relation_rng(sK13),X0) ),
inference(superposition,[status(thm)],[c_52,c_6260]) ).
cnf(c_6757,plain,
subset(relation_rng(sK13),relation_rng(sK14)),
inference(superposition,[status(thm)],[c_6355,c_51]) ).
cnf(c_6758,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6757,c_5289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU179+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n004.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 14:07:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.73/1.14 % SZS status Started for theBenchmark.p
% 3.73/1.14 % SZS status Theorem for theBenchmark.p
% 3.73/1.14
% 3.73/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.73/1.14
% 3.73/1.14 ------ iProver source info
% 3.73/1.14
% 3.73/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.73/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.73/1.14 git: non_committed_changes: false
% 3.73/1.14 git: last_make_outside_of_git: false
% 3.73/1.14
% 3.73/1.14 ------ Parsing...
% 3.73/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.73/1.14
% 3.73/1.14 ------ Preprocessing... sup_sim: 8 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e
% 3.73/1.14
% 3.73/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.73/1.14
% 3.73/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.73/1.14 ------ Proving...
% 3.73/1.14 ------ Problem Properties
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 clauses 53
% 3.73/1.14 conjectures 2
% 3.73/1.14 EPR 15
% 3.73/1.14 Horn 44
% 3.73/1.14 unary 13
% 3.73/1.14 binary 23
% 3.73/1.14 lits 110
% 3.73/1.14 lits eq 15
% 3.73/1.14 fd_pure 0
% 3.73/1.14 fd_pseudo 0
% 3.73/1.14 fd_cond 13
% 3.73/1.14 fd_pseudo_cond 1
% 3.73/1.14 AC symbols 0
% 3.73/1.14
% 3.73/1.14 ------ Schedule dynamic 5 is on
% 3.73/1.14
% 3.73/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 ------
% 3.73/1.14 Current options:
% 3.73/1.14 ------
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 ------ Proving...
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 % SZS status Theorem for theBenchmark.p
% 3.73/1.14
% 3.73/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.73/1.14
% 3.73/1.15
%------------------------------------------------------------------------------