TSTP Solution File: SEU183+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU183+2 : 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 17:04:28 EDT 2023
% Result : Theorem 56.63s 8.68s
% Output : CNFRefutation 56.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 71 ( 12 unt; 0 def)
% Number of atoms : 304 ( 25 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 379 ( 146 ~; 144 |; 58 &)
% ( 10 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-4 aty)
% Number of variables : 206 ( 0 sgn; 150 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f22,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(f24,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(f28,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( relation_composition(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f48,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f104,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/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f130,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_relat_1) ).
fof(f131,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
inference(negated_conjecture,[],[f130]) ).
fof(f147,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f176,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( relation_composition(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f188,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f189,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f188]) ).
fof(f230,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,[],[f104]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f230]) ).
fof(f249,plain,
? [X0] :
( ? [X1] :
( ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f131]) ).
fof(f322,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,[],[f176]) ).
fof(f323,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,[],[f322]) ).
fof(f324,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK16(X0,X1),X1)
& in(sK16(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f325,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK16(X0,X1),X1)
& in(sK16(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f323,f324]) ).
fof(f348,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,[],[f178]) ).
fof(f349,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,[],[f348]) ).
fof(f350,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,sK25(X0,X1)),X0)
| ~ in(sK25(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK25(X0,X1)),X0)
| in(sK25(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK25(X0,X1)),X0)
=> in(ordered_pair(sK26(X0,X1),sK25(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK27(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK25(X0,X1)),X0)
| ~ in(sK25(X0,X1),X1) )
& ( in(ordered_pair(sK26(X0,X1),sK25(X0,X1)),X0)
| in(sK25(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK27(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f349,f352,f351,f350]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f182]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f359]) ).
fof(f361,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) )
=> ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK31(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK30(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,sK31(X0,X1,X2)),X1)
& in(ordered_pair(sK30(X0,X1,X2),X6),X0) )
| in(ordered_pair(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f362,plain,
! [X0,X1,X2] :
( ? [X6] :
( in(ordered_pair(X6,sK31(X0,X1,X2)),X1)
& in(ordered_pair(sK30(X0,X1,X2),X6),X0) )
=> ( in(ordered_pair(sK32(X0,X1,X2),sK31(X0,X1,X2)),X1)
& in(ordered_pair(sK30(X0,X1,X2),sK32(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f363,plain,
! [X0,X1,X7,X8] :
( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
=> ( in(ordered_pair(sK33(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK33(X0,X1,X7,X8)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK31(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK30(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK32(X0,X1,X2),sK31(X0,X1,X2)),X1)
& in(ordered_pair(sK30(X0,X1,X2),sK32(X0,X1,X2)),X0) )
| in(ordered_pair(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ( in(ordered_pair(sK33(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK33(X0,X1,X7,X8)),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33])],[f360,f363,f362,f361]) ).
fof(f408,plain,
( ? [X0] :
( ? [X1] :
( ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
& relation(X1) )
& relation(X0) )
=> ( ? [X1] :
( ~ subset(relation_rng(relation_composition(sK45,X1)),relation_rng(X1))
& relation(X1) )
& relation(sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f409,plain,
( ? [X1] :
( ~ subset(relation_rng(relation_composition(sK45,X1)),relation_rng(X1))
& relation(X1) )
=> ( ~ subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))
& relation(sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f410,plain,
( ~ subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))
& relation(sK46)
& relation(sK45) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46])],[f249,f409,f408]) ).
fof(f473,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK16(X0,X1),X0) ),
inference(cnf_transformation,[],[f325]) ).
fof(f474,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK16(X0,X1),X1) ),
inference(cnf_transformation,[],[f325]) ).
fof(f498,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK27(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f503,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f512,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(sK33(X0,X1,X7,X8),X8),X1)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f526,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f597,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f231]) ).
fof(f638,plain,
relation(sK45),
inference(cnf_transformation,[],[f410]) ).
fof(f639,plain,
relation(sK46),
inference(cnf_transformation,[],[f410]) ).
fof(f640,plain,
~ subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),
inference(cnf_transformation,[],[f410]) ).
fof(f658,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f147]) ).
fof(f675,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f503,f658]) ).
fof(f700,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f498,f675]) ).
fof(f711,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK33(X0,X1,X7,X8),X8),unordered_pair(sK33(X0,X1,X7,X8),sK33(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f512,f675,f675]) ).
fof(f735,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,[],[f597,f675]) ).
fof(f797,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f700]) ).
fof(f801,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK33(X0,X1,X7,X8),X8),unordered_pair(sK33(X0,X1,X7,X8),sK33(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f711]) ).
cnf(c_102,plain,
( ~ in(sK16(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f474]) ).
cnf(c_103,plain,
( in(sK16(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_131,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK27(X1,X0),X0),unordered_pair(sK27(X1,X0),sK27(X1,X0))),X1) ),
inference(cnf_transformation,[],[f797]) ).
cnf(c_144,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(X2,X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X2)
| ~ relation(X3)
| in(unordered_pair(unordered_pair(sK33(X2,X3,X0,X1),X1),unordered_pair(sK33(X2,X3,X0,X1),sK33(X2,X3,X0,X1))),X3) ),
inference(cnf_transformation,[],[f801]) ).
cnf(c_155,plain,
( ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X1,X0)) ),
inference(cnf_transformation,[],[f526]) ).
cnf(c_225,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f735]) ).
cnf(c_267,negated_conjecture,
~ subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),
inference(cnf_transformation,[],[f640]) ).
cnf(c_268,negated_conjecture,
relation(sK46),
inference(cnf_transformation,[],[f639]) ).
cnf(c_269,negated_conjecture,
relation(sK45),
inference(cnf_transformation,[],[f638]) ).
cnf(c_556,plain,
( ~ relation(X0)
| ~ relation(sK45)
| relation(relation_composition(sK45,X0)) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_579,plain,
( ~ in(sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),relation_rng(sK46))
| subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_580,plain,
( in(sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),relation_rng(relation_composition(sK45,sK46)))
| subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_695,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK46)
| ~ relation(sK46)
| in(X1,relation_rng(sK46)) ),
inference(instantiation,[status(thm)],[c_225]) ).
cnf(c_2200,plain,
( ~ in(sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),relation_rng(relation_composition(sK45,sK46)))
| ~ relation(relation_composition(sK45,sK46))
| in(unordered_pair(unordered_pair(sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),unordered_pair(sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))))),relation_composition(sK45,sK46)) ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_6092,plain,
( ~ relation(sK45)
| ~ relation(sK46)
| relation(relation_composition(sK45,sK46)) ),
inference(instantiation,[status(thm)],[c_556]) ).
cnf(c_9255,plain,
( ~ in(unordered_pair(unordered_pair(sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),unordered_pair(sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))))),relation_composition(sK45,sK46))
| ~ relation(relation_composition(sK45,sK46))
| ~ relation(sK45)
| ~ relation(sK46)
| in(unordered_pair(unordered_pair(sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),unordered_pair(sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))))),sK46) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_30459,plain,
( ~ in(unordered_pair(unordered_pair(sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),unordered_pair(sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK33(sK45,sK46,sK27(relation_composition(sK45,sK46),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))),sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))))),sK46)
| ~ relation(sK46)
| in(sK16(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),relation_rng(sK46)) ),
inference(instantiation,[status(thm)],[c_695]) ).
cnf(c_30460,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_30459,c_9255,c_6092,c_2200,c_580,c_579,c_267,c_268,c_269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU183+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.15/0.34 % Computer : n026.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Wed Aug 23 14:17:01 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 56.63/8.68 % SZS status Started for theBenchmark.p
% 56.63/8.68 % SZS status Theorem for theBenchmark.p
% 56.63/8.68
% 56.63/8.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 56.63/8.68
% 56.63/8.68 ------ iProver source info
% 56.63/8.68
% 56.63/8.68 git: date: 2023-05-31 18:12:56 +0000
% 56.63/8.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 56.63/8.68 git: non_committed_changes: false
% 56.63/8.68 git: last_make_outside_of_git: false
% 56.63/8.68
% 56.63/8.68 ------ Parsing...
% 56.63/8.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 56.63/8.68
% 56.63/8.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e
% 56.63/8.68
% 56.63/8.68 ------ Preprocessing...
% 56.63/8.68
% 56.63/8.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 56.63/8.68 ------ Proving...
% 56.63/8.68 ------ Problem Properties
% 56.63/8.68
% 56.63/8.68
% 56.63/8.68 clauses 234
% 56.63/8.68 conjectures 3
% 56.63/8.68 EPR 29
% 56.63/8.68 Horn 184
% 56.63/8.68 unary 46
% 56.63/8.68 binary 86
% 56.63/8.68 lits 578
% 56.63/8.68 lits eq 125
% 56.63/8.68 fd_pure 0
% 56.63/8.68 fd_pseudo 0
% 56.63/8.68 fd_cond 10
% 56.63/8.68 fd_pseudo_cond 50
% 56.63/8.68 AC symbols 0
% 56.63/8.68
% 56.63/8.68 ------ Input Options Time Limit: Unbounded
% 56.63/8.68
% 56.63/8.68
% 56.63/8.68 ------
% 56.63/8.68 Current options:
% 56.63/8.68 ------
% 56.63/8.68
% 56.63/8.68
% 56.63/8.68
% 56.63/8.68
% 56.63/8.68 ------ Proving...
% 56.63/8.68
% 56.63/8.68
% 56.63/8.68 % SZS status Theorem for theBenchmark.p
% 56.63/8.68
% 56.63/8.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 56.63/8.68
% 56.63/8.69
%------------------------------------------------------------------------------