TSTP Solution File: SET721+4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET721+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Fri May 3 03:01:21 EDT 2024
% Result : Theorem 72.13s 10.71s
% Output : CNFRefutation 72.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 80 ( 7 unt; 0 def)
% Number of atoms : 412 ( 26 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 526 ( 194 ~; 198 |; 101 &)
% ( 10 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 310 ( 0 sgn 202 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X5,X0,X1] :
( maps(X5,X0,X1)
<=> ( ! [X2,X6,X7] :
( ( member(X7,X1)
& member(X6,X1)
& member(X2,X0) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) )
& ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f14,axiom,
! [X9,X5,X0,X1,X10,X2,X11] :
( ( member(X11,X10)
& member(X2,X0) )
=> ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
<=> ? [X4] :
( apply(X9,X4,X11)
& apply(X5,X2,X4)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f17,axiom,
! [X5,X0,X1] :
( injective(X5,X0,X1)
<=> ! [X12,X13,X4] :
( ( member(X4,X1)
& member(X13,X0)
& member(X12,X0) )
=> ( ( apply(X5,X13,X4)
& apply(X5,X12,X4) )
=> X12 = X13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f29,conjecture,
! [X5,X9,X0,X1,X10] :
( ( injective(compose_function(X9,X5,X0,X1,X10),X0,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> injective(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII12) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1,X10] :
( ( injective(compose_function(X9,X5,X0,X1,X10),X0,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> injective(X5,X0,X1) ),
inference(negated_conjecture,[],[f29]) ).
fof(f40,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X4) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X6,X4)
& member(X5,X2) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) ) ),
inference(rectify,[],[f14]) ).
fof(f45,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( ( apply(X0,X4,X5)
& apply(X0,X3,X5) )
=> X3 = X4 ) ) ),
inference(rectify,[],[f17]) ).
fof(f57,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( injective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> injective(X0,X2,X3) ),
inference(rectify,[],[f30]) ).
fof(f58,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X4) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f40]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f58]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(ennf_transformation,[],[f42]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f66,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1) ) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
? [X0,X1,X2,X3,X4] :
( ~ injective(X0,X2,X3)
& injective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f70,plain,
? [X0,X1,X2,X3,X4] :
( ~ injective(X0,X2,X3)
& injective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(flattening,[],[f69]) ).
fof(f93,plain,
! [X0,X2,X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
=> ( apply(X0,X6,sK3(X0,X2,X6))
& member(sK3(X0,X2,X6),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ( apply(X0,X6,sK3(X0,X2,X6))
& member(sK3(X0,X2,X6),X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f62,f93]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) ) )
& ( ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(nnf_transformation,[],[f64]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) ) )
& ( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X3,X5,X6] :
( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
=> ( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK4(X0,X1,X3,X5,X6))
& member(sK4(X0,X1,X3,X5,X6),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) ) )
& ( ( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK4(X0,X1,X3,X5,X6))
& member(sK4(X0,X1,X3,X5,X6),X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f96,f97]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X4,X5)
& apply(X0,X3,X5)
& member(X5,X2)
& member(X4,X1)
& member(X3,X1) ) )
& ( ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1) )
| ~ injective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X4,X5)
& apply(X0,X3,X5)
& member(X5,X2)
& member(X4,X1)
& member(X3,X1) ) )
& ( ! [X6,X7,X8] :
( X6 = X7
| ~ apply(X0,X7,X8)
| ~ apply(X0,X6,X8)
| ~ member(X8,X2)
| ~ member(X7,X1)
| ~ member(X6,X1) )
| ~ injective(X0,X1,X2) ) ),
inference(rectify,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X4,X5)
& apply(X0,X3,X5)
& member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( sK5(X0,X1,X2) != sK6(X0,X1,X2)
& apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
& apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2))
& member(sK7(X0,X1,X2),X2)
& member(sK6(X0,X1,X2),X1)
& member(sK5(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ( sK5(X0,X1,X2) != sK6(X0,X1,X2)
& apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
& apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2))
& member(sK7(X0,X1,X2),X2)
& member(sK6(X0,X1,X2),X1)
& member(sK5(X0,X1,X2),X1) ) )
& ( ! [X6,X7,X8] :
( X6 = X7
| ~ apply(X0,X7,X8)
| ~ apply(X0,X6,X8)
| ~ member(X8,X2)
| ~ member(X7,X1)
| ~ member(X6,X1) )
| ~ injective(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f100,f101]) ).
fof(f122,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ injective(X0,X2,X3)
& injective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> ( ~ injective(sK12,sK14,sK15)
& injective(compose_function(sK13,sK12,sK14,sK15,sK16),sK14,sK16)
& maps(sK13,sK15,sK16)
& maps(sK12,sK14,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ~ injective(sK12,sK14,sK15)
& injective(compose_function(sK13,sK12,sK14,sK15,sK16),sK14,sK16)
& maps(sK13,sK15,sK16)
& maps(sK12,sK14,sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f70,f122]) ).
fof(f150,plain,
! [X2,X0,X1,X6] :
( member(sK3(X0,X2,X6),X2)
| ~ member(X6,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f151,plain,
! [X2,X0,X1,X6] :
( apply(X0,X6,sK3(X0,X2,X6))
| ~ member(X6,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f156,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f157,plain,
! [X2,X0,X1,X8,X6,X7] :
( X6 = X7
| ~ apply(X0,X7,X8)
| ~ apply(X0,X6,X8)
| ~ member(X8,X2)
| ~ member(X7,X1)
| ~ member(X6,X1)
| ~ injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f158,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| member(sK5(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f159,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| member(sK6(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f160,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| member(sK7(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f161,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f162,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f163,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| sK5(X0,X1,X2) != sK6(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f181,plain,
maps(sK13,sK15,sK16),
inference(cnf_transformation,[],[f123]) ).
fof(f182,plain,
injective(compose_function(sK13,sK12,sK14,sK15,sK16),sK14,sK16),
inference(cnf_transformation,[],[f123]) ).
fof(f183,plain,
~ injective(sK12,sK14,sK15),
inference(cnf_transformation,[],[f123]) ).
cnf(c_76,plain,
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK3(X0,X2,X3)) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_77,plain,
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK3(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_78,plain,
( ~ apply(X0,X1,X2)
| ~ apply(X3,X4,X1)
| ~ member(X1,X7)
| ~ member(X2,X6)
| ~ member(X4,X5)
| apply(compose_function(X0,X3,X5,X7,X6),X4,X2) ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_82,plain,
( sK5(X0,X1,X2) != sK6(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_83,plain,
( apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_84,plain,
( apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_85,plain,
( member(sK7(X0,X1,X2),X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_86,plain,
( member(sK6(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_87,plain,
( member(sK5(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_88,plain,
( ~ apply(X0,X1,X2)
| ~ apply(X0,X3,X2)
| ~ injective(X0,X4,X5)
| ~ member(X1,X4)
| ~ member(X2,X5)
| ~ member(X3,X4)
| X1 = X3 ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_105,negated_conjecture,
~ injective(sK12,sK14,sK15),
inference(cnf_transformation,[],[f183]) ).
cnf(c_106,negated_conjecture,
injective(compose_function(sK13,sK12,sK14,sK15,sK16),sK14,sK16),
inference(cnf_transformation,[],[f182]) ).
cnf(c_107,negated_conjecture,
maps(sK13,sK15,sK16),
inference(cnf_transformation,[],[f181]) ).
cnf(c_880,plain,
( ~ maps(sK13,sK15,sK16)
| ~ member(X0,sK15)
| member(sK3(sK13,sK16,X0),sK16) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_881,plain,
( ~ maps(sK13,sK15,sK16)
| ~ member(X0,sK15)
| apply(sK13,X0,sK3(sK13,sK16,X0)) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_965,plain,
( sK5(sK12,sK14,sK15) != sK6(sK12,sK14,sK15)
| injective(sK12,sK14,sK15) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_966,plain,
( apply(sK12,sK6(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| injective(sK12,sK14,sK15) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_967,plain,
( apply(sK12,sK5(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| injective(sK12,sK14,sK15) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_968,plain,
( member(sK7(sK12,sK14,sK15),sK15)
| injective(sK12,sK14,sK15) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_969,plain,
( member(sK6(sK12,sK14,sK15),sK14)
| injective(sK12,sK14,sK15) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_970,plain,
( member(sK5(sK12,sK14,sK15),sK14)
| injective(sK12,sK14,sK15) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_1039,plain,
( ~ member(sK7(sK12,sK14,sK15),sK15)
| ~ maps(sK13,sK15,sK16)
| apply(sK13,sK7(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15))) ),
inference(instantiation,[status(thm)],[c_881]) ).
cnf(c_1040,plain,
( ~ member(sK7(sK12,sK14,sK15),sK15)
| ~ maps(sK13,sK15,sK16)
| member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),sK16) ),
inference(instantiation,[status(thm)],[c_880]) ).
cnf(c_3864,plain,
( ~ apply(X0,sK5(sK12,sK14,sK15),X1)
| ~ apply(X0,sK6(sK12,sK14,sK15),X1)
| ~ member(sK5(sK12,sK14,sK15),X2)
| ~ member(sK6(sK12,sK14,sK15),X2)
| ~ injective(X0,X2,X3)
| ~ member(X1,X3)
| sK5(sK12,sK14,sK15) = sK6(sK12,sK14,sK15) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_3869,plain,
( ~ apply(sK12,sK6(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ apply(X0,sK7(sK12,sK14,sK15),X1)
| ~ member(sK6(sK12,sK14,sK15),X2)
| ~ member(sK7(sK12,sK14,sK15),X3)
| ~ member(X1,X4)
| apply(compose_function(X0,sK12,X2,X3,X4),sK6(sK12,sK14,sK15),X1) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_3874,plain,
( ~ apply(sK12,sK5(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ apply(X0,sK7(sK12,sK14,sK15),X1)
| ~ member(sK5(sK12,sK14,sK15),X2)
| ~ member(sK7(sK12,sK14,sK15),X3)
| ~ member(X1,X4)
| apply(compose_function(X0,sK12,X2,X3,X4),sK5(sK12,sK14,sK15),X1) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_6090,plain,
( ~ apply(sK13,sK7(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(sK12,sK6(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),X0)
| ~ member(sK6(sK12,sK14,sK15),X1)
| ~ member(sK7(sK12,sK14,sK15),X2)
| apply(compose_function(sK13,sK12,X1,X2,X0),sK6(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15))) ),
inference(instantiation,[status(thm)],[c_3869]) ).
cnf(c_10448,plain,
( ~ apply(sK13,sK7(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(sK12,sK6(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),X0)
| ~ member(sK6(sK12,sK14,sK15),X1)
| ~ member(sK7(sK12,sK14,sK15),sK15)
| apply(compose_function(sK13,sK12,X1,sK15,X0),sK6(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15))) ),
inference(instantiation,[status(thm)],[c_6090]) ).
cnf(c_10463,plain,
( ~ apply(sK13,sK7(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(sK12,sK5(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),X0)
| ~ member(sK5(sK12,sK14,sK15),X1)
| ~ member(sK7(sK12,sK14,sK15),X2)
| apply(compose_function(sK13,sK12,X1,X2,X0),sK5(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15))) ),
inference(instantiation,[status(thm)],[c_3874]) ).
cnf(c_13261,plain,
( ~ apply(sK13,sK7(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(sK12,sK6(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),sK16)
| ~ member(sK6(sK12,sK14,sK15),X0)
| ~ member(sK7(sK12,sK14,sK15),sK15)
| apply(compose_function(sK13,sK12,X0,sK15,sK16),sK6(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15))) ),
inference(instantiation,[status(thm)],[c_10448]) ).
cnf(c_13262,plain,
( ~ apply(sK13,sK7(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(sK12,sK6(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),sK16)
| ~ member(sK6(sK12,sK14,sK15),sK14)
| ~ member(sK7(sK12,sK14,sK15),sK15)
| apply(compose_function(sK13,sK12,sK14,sK15,sK16),sK6(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15))) ),
inference(instantiation,[status(thm)],[c_13261]) ).
cnf(c_13315,plain,
( ~ apply(sK13,sK7(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(sK12,sK5(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),sK16)
| ~ member(sK5(sK12,sK14,sK15),X0)
| ~ member(sK7(sK12,sK14,sK15),X1)
| apply(compose_function(sK13,sK12,X0,X1,sK16),sK5(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15))) ),
inference(instantiation,[status(thm)],[c_10463]) ).
cnf(c_21476,plain,
( ~ apply(compose_function(sK13,sK12,X0,sK15,sK16),sK5(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(compose_function(sK13,sK12,X0,sK15,sK16),sK6(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ injective(compose_function(sK13,sK12,X0,sK15,sK16),X1,X2)
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),X2)
| ~ member(sK5(sK12,sK14,sK15),X1)
| ~ member(sK6(sK12,sK14,sK15),X1)
| sK5(sK12,sK14,sK15) = sK6(sK12,sK14,sK15) ),
inference(instantiation,[status(thm)],[c_3864]) ).
cnf(c_21626,plain,
( ~ apply(sK13,sK7(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(sK12,sK5(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),sK16)
| ~ member(sK5(sK12,sK14,sK15),X0)
| ~ member(sK7(sK12,sK14,sK15),sK15)
| apply(compose_function(sK13,sK12,X0,sK15,sK16),sK5(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15))) ),
inference(instantiation,[status(thm)],[c_13315]) ).
cnf(c_21627,plain,
( ~ apply(sK13,sK7(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(sK12,sK5(sK12,sK14,sK15),sK7(sK12,sK14,sK15))
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),sK16)
| ~ member(sK5(sK12,sK14,sK15),sK14)
| ~ member(sK7(sK12,sK14,sK15),sK15)
| apply(compose_function(sK13,sK12,sK14,sK15,sK16),sK5(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15))) ),
inference(instantiation,[status(thm)],[c_21626]) ).
cnf(c_36785,plain,
( ~ apply(compose_function(sK13,sK12,sK14,sK15,sK16),sK5(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ apply(compose_function(sK13,sK12,sK14,sK15,sK16),sK6(sK12,sK14,sK15),sK3(sK13,sK16,sK7(sK12,sK14,sK15)))
| ~ member(sK3(sK13,sK16,sK7(sK12,sK14,sK15)),sK16)
| ~ injective(compose_function(sK13,sK12,sK14,sK15,sK16),sK14,sK16)
| ~ member(sK5(sK12,sK14,sK15),sK14)
| ~ member(sK6(sK12,sK14,sK15),sK14)
| sK5(sK12,sK14,sK15) = sK6(sK12,sK14,sK15) ),
inference(instantiation,[status(thm)],[c_21476]) ).
cnf(c_36786,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_36785,c_21627,c_13262,c_1039,c_1040,c_970,c_969,c_968,c_967,c_966,c_965,c_106,c_105,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET721+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 20:26:23 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 72.13/10.71 % SZS status Started for theBenchmark.p
% 72.13/10.71 % SZS status Theorem for theBenchmark.p
% 72.13/10.71
% 72.13/10.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 72.13/10.71
% 72.13/10.71 ------ iProver source info
% 72.13/10.71
% 72.13/10.71 git: date: 2024-05-02 19:28:25 +0000
% 72.13/10.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 72.13/10.71 git: non_committed_changes: false
% 72.13/10.71
% 72.13/10.71 ------ Parsing...
% 72.13/10.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 72.13/10.71
% 72.13/10.71 ------ Preprocessing...
% 72.13/10.71
% 72.13/10.71 ------ Preprocessing...
% 72.13/10.71
% 72.13/10.71 ------ Preprocessing...
% 72.13/10.71 ------ Proving...
% 72.13/10.71 ------ Problem Properties
% 72.13/10.71
% 72.13/10.71
% 72.13/10.71 clauses 60
% 72.13/10.71 conjectures 4
% 72.13/10.71 EPR 7
% 72.13/10.71 Horn 50
% 72.13/10.71 unary 8
% 72.13/10.71 binary 31
% 72.13/10.71 lits 151
% 72.13/10.71 lits eq 6
% 72.13/10.71 fd_pure 0
% 72.13/10.71 fd_pseudo 0
% 72.13/10.71 fd_cond 0
% 72.13/10.71 fd_pseudo_cond 4
% 72.13/10.71 AC symbols 0
% 72.13/10.71
% 72.13/10.71 ------ Input Options Time Limit: Unbounded
% 72.13/10.71
% 72.13/10.71
% 72.13/10.71 ------
% 72.13/10.71 Current options:
% 72.13/10.71 ------
% 72.13/10.71
% 72.13/10.71
% 72.13/10.71
% 72.13/10.71
% 72.13/10.71 ------ Proving...
% 72.13/10.71
% 72.13/10.71
% 72.13/10.71 % SZS status Theorem for theBenchmark.p
% 72.13/10.71
% 72.13/10.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.13/10.71
% 72.13/10.71
%------------------------------------------------------------------------------