TSTP Solution File: SET717+4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET717+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 03:01:20 EDT 2024
% Result : Theorem 91.86s 13.21s
% Output : CNFRefutation 91.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 8 unt; 0 def)
% Number of atoms : 256 ( 3 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 315 ( 118 ~; 111 |; 68 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 219 ( 0 sgn 130 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
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(f18,axiom,
! [X5,X0,X1] :
( surjective(X5,X0,X1)
<=> ! [X4] :
( member(X4,X1)
=> ? [X3] :
( apply(X5,X3,X4)
& member(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjective) ).
fof(f29,conjecture,
! [X5,X9,X0,X1,X10] :
( ( surjective(X9,X1,X10)
& surjective(X5,X0,X1)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> surjective(compose_function(X9,X5,X0,X1,X10),X0,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII08) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1,X10] :
( ( surjective(X9,X1,X10)
& surjective(X5,X0,X1)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> surjective(compose_function(X9,X5,X0,X1,X10),X0,X10) ),
inference(negated_conjecture,[],[f29]) ).
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(f46,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(rectify,[],[f18]) ).
fof(f57,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( surjective(X1,X3,X4)
& surjective(X0,X2,X3)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> surjective(compose_function(X1,X0,X2,X3,X4),X2,X4) ),
inference(rectify,[],[f30]) ).
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] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
| ~ member(X3,X2) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f68,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& surjective(X1,X3,X4)
& surjective(X0,X2,X3)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f69,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& surjective(X1,X3,X4)
& surjective(X0,X2,X3)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(flattening,[],[f68]) ).
fof(f94,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(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) ) )
& ( ? [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,[],[f94]) ).
fof(f96,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(f97,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])],[f95,f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X3] :
( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
| ~ member(X3,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X5] :
( ? [X6] :
( apply(X0,X6,X5)
& member(X6,X1) )
| ~ member(X5,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(rectify,[],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) )
=> ( ! [X4] :
( ~ apply(X0,X4,sK5(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK5(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1,X5] :
( ? [X6] :
( apply(X0,X6,X5)
& member(X6,X1) )
=> ( apply(X0,sK6(X0,X1,X5),X5)
& member(sK6(X0,X1,X5),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ( ! [X4] :
( ~ apply(X0,X4,sK5(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK5(X0,X1,X2),X2) ) )
& ( ! [X5] :
( ( apply(X0,sK6(X0,X1,X5),X5)
& member(sK6(X0,X1,X5),X1) )
| ~ member(X5,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f99,f101,f100]) ).
fof(f122,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& surjective(X1,X3,X4)
& surjective(X0,X2,X3)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> ( ~ surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)
& surjective(sK12,sK14,sK15)
& surjective(sK11,sK13,sK14)
& maps(sK12,sK14,sK15)
& maps(sK11,sK13,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ~ surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)
& surjective(sK12,sK14,sK15)
& surjective(sK11,sK13,sK14)
& maps(sK12,sK14,sK15)
& maps(sK11,sK13,sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15])],[f69,f122]) ).
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,[],[f97]) ).
fof(f157,plain,
! [X2,X0,X1,X5] :
( member(sK6(X0,X1,X5),X1)
| ~ member(X5,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f158,plain,
! [X2,X0,X1,X5] :
( apply(X0,sK6(X0,X1,X5),X5)
| ~ member(X5,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f159,plain,
! [X2,X0,X1] :
( surjective(X0,X1,X2)
| member(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f160,plain,
! [X2,X0,X1,X4] :
( surjective(X0,X1,X2)
| ~ apply(X0,X4,sK5(X0,X1,X2))
| ~ member(X4,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f179,plain,
surjective(sK11,sK13,sK14),
inference(cnf_transformation,[],[f123]) ).
fof(f180,plain,
surjective(sK12,sK14,sK15),
inference(cnf_transformation,[],[f123]) ).
fof(f181,plain,
~ surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),
inference(cnf_transformation,[],[f123]) ).
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,
( ~ apply(X0,X1,sK5(X0,X2,X3))
| ~ member(X1,X2)
| surjective(X0,X2,X3) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_83,plain,
( member(sK5(X0,X1,X2),X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_84,plain,
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| apply(X0,sK6(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_85,plain,
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| member(sK6(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_102,negated_conjecture,
~ surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),
inference(cnf_transformation,[],[f181]) ).
cnf(c_103,negated_conjecture,
surjective(sK12,sK14,sK15),
inference(cnf_transformation,[],[f180]) ).
cnf(c_104,negated_conjecture,
surjective(sK11,sK13,sK14),
inference(cnf_transformation,[],[f179]) ).
cnf(c_202,plain,
( surjective(X0,X1,X2)
| member(sK5(X0,X1,X2),X2) ),
inference(prop_impl_just,[status(thm)],[c_83]) ).
cnf(c_203,plain,
( member(sK5(X0,X1,X2),X2)
| surjective(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_202]) ).
cnf(c_875,plain,
( compose_function(sK12,sK11,sK13,sK14,sK15) != X0
| X1 != sK13
| X2 != sK15
| member(sK5(X0,X1,X2),X2) ),
inference(resolution_lifted,[status(thm)],[c_203,c_102]) ).
cnf(c_876,plain,
member(sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),sK15),
inference(unflattening,[status(thm)],[c_875]) ).
cnf(c_6094,plain,
( ~ member(sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),sK15)
| ~ surjective(X0,X1,sK15)
| member(sK6(X0,X1,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_6095,plain,
( ~ member(sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),sK15)
| ~ surjective(X0,X1,sK15)
| apply(X0,sK6(X0,X1,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_6978,plain,
( ~ member(sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),sK15)
| ~ surjective(sK12,sK14,sK15)
| member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK14) ),
inference(instantiation,[status(thm)],[c_6094]) ).
cnf(c_6982,plain,
( ~ member(sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),sK15)
| ~ surjective(sK12,sK14,sK15)
| apply(sK12,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)) ),
inference(instantiation,[status(thm)],[c_6095]) ).
cnf(c_9327,plain,
( ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK14)
| ~ surjective(X0,X1,sK14)
| member(sK6(X0,X1,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_9328,plain,
( ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK14)
| ~ surjective(X0,X1,sK14)
| apply(X0,sK6(X0,X1,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_15653,plain,
( ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK14)
| ~ surjective(X0,sK13,sK14)
| member(sK6(X0,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK13) ),
inference(instantiation,[status(thm)],[c_9327]) ).
cnf(c_15732,plain,
( ~ apply(X0,sK6(X0,X1,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)))
| ~ member(sK6(X0,X1,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),X2)
| ~ apply(X3,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),X4)
| ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),X5)
| ~ member(X4,X6)
| apply(compose_function(X3,X0,X2,X5,X6),sK6(X0,X1,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),X4) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_20031,plain,
( ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK14)
| ~ surjective(sK11,sK13,sK14)
| apply(sK11,sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))) ),
inference(instantiation,[status(thm)],[c_9328]) ).
cnf(c_24542,plain,
( ~ apply(sK11,sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)))
| ~ member(sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),X0)
| ~ apply(X1,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),X2)
| ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),X3)
| ~ member(X2,X4)
| apply(compose_function(X1,sK11,X0,X3,X4),sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),X2) ),
inference(instantiation,[status(thm)],[c_15732]) ).
cnf(c_31319,plain,
( ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK14)
| ~ surjective(sK11,sK13,sK14)
| member(sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK13) ),
inference(instantiation,[status(thm)],[c_15653]) ).
cnf(c_36014,plain,
( ~ apply(sK11,sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)))
| ~ apply(sK12,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))
| ~ member(sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),X0)
| ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),X1)
| ~ member(sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),X2)
| apply(compose_function(sK12,sK11,X0,X1,X2),sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)) ),
inference(instantiation,[status(thm)],[c_24542]) ).
cnf(c_39869,plain,
( ~ apply(sK11,sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)))
| ~ apply(sK12,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))
| ~ member(sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK13)
| ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),X0)
| ~ member(sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),X1)
| apply(compose_function(sK12,sK11,sK13,X0,X1),sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)) ),
inference(instantiation,[status(thm)],[c_36014]) ).
cnf(c_46518,plain,
( ~ apply(sK11,sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)))
| ~ apply(sK12,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))
| ~ member(sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK13)
| ~ member(sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)),sK14)
| ~ member(sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),sK15)
| apply(compose_function(sK12,sK11,sK13,sK14,sK15),sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)) ),
inference(instantiation,[status(thm)],[c_39869]) ).
cnf(c_46519,plain,
( ~ apply(compose_function(sK12,sK11,sK13,sK14,sK15),sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))
| ~ member(sK6(sK11,sK13,sK6(sK12,sK14,sK5(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15))),sK13)
| surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_46520,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_46519,c_46518,c_31319,c_20031,c_6982,c_6978,c_876,c_102,c_103,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET717+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Thu May 2 21:14:15 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 91.86/13.21 % SZS status Started for theBenchmark.p
% 91.86/13.21 % SZS status Theorem for theBenchmark.p
% 91.86/13.21
% 91.86/13.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 91.86/13.21
% 91.86/13.21 ------ iProver source info
% 91.86/13.21
% 91.86/13.21 git: date: 2024-05-02 19:28:25 +0000
% 91.86/13.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 91.86/13.21 git: non_committed_changes: false
% 91.86/13.21
% 91.86/13.21 ------ Parsing...
% 91.86/13.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 91.86/13.21
% 91.86/13.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e
% 91.86/13.21
% 91.86/13.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 91.86/13.21
% 91.86/13.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 91.86/13.21 ------ Proving...
% 91.86/13.21 ------ Problem Properties
% 91.86/13.21
% 91.86/13.21
% 91.86/13.21 clauses 59
% 91.86/13.21 conjectures 3
% 91.86/13.21 EPR 6
% 91.86/13.21 Horn 53
% 91.86/13.21 unary 7
% 91.86/13.21 binary 30
% 91.86/13.21 lits 149
% 91.86/13.21 lits eq 5
% 91.86/13.21 fd_pure 0
% 91.86/13.21 fd_pseudo 0
% 91.86/13.21 fd_cond 0
% 91.86/13.21 fd_pseudo_cond 4
% 91.86/13.21 AC symbols 0
% 91.86/13.21
% 91.86/13.21 ------ Input Options Time Limit: Unbounded
% 91.86/13.21
% 91.86/13.21
% 91.86/13.21 ------
% 91.86/13.21 Current options:
% 91.86/13.21 ------
% 91.86/13.21
% 91.86/13.21
% 91.86/13.21
% 91.86/13.21
% 91.86/13.21 ------ Proving...
% 91.86/13.21
% 91.86/13.21
% 91.86/13.21 % SZS status Theorem for theBenchmark.p
% 91.86/13.21
% 91.86/13.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 91.86/13.21
% 91.86/13.22
%------------------------------------------------------------------------------