TSTP Solution File: SET747+4 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET747+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 15:09:26 EDT 2023
% Result : Theorem 74.80s 10.84s
% Output : CNFRefutation 74.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 89 ( 7 unt; 0 def)
% Number of atoms : 486 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 640 ( 243 ~; 253 |; 120 &)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-5 aty)
% Number of variables : 443 ( 0 sgn; 273 !; 43 ?)
% 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/sandbox/benchmark/theBenchmark.p',compose_function) ).
fof(f26,axiom,
! [X5,X0,X14,X1,X15] :
( increasing(X5,X0,X14,X1,X15)
<=> ! [X12,X6,X13,X7] :
( ( apply(X5,X13,X7)
& apply(X5,X12,X6)
& apply(X14,X12,X13)
& member(X7,X1)
& member(X13,X0)
& member(X6,X1)
& member(X12,X0) )
=> apply(X15,X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',increasing_function) ).
fof(f27,axiom,
! [X5,X0,X14,X1,X15] :
( decreasing(X5,X0,X14,X1,X15)
<=> ! [X12,X6,X13,X7] :
( ( apply(X5,X13,X7)
& apply(X5,X12,X6)
& apply(X14,X12,X13)
& member(X7,X1)
& member(X13,X0)
& member(X6,X1)
& member(X12,X0) )
=> apply(X15,X7,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',decreasing_function) ).
fof(f29,conjecture,
! [X5,X9,X0,X1,X10,X14,X15,X16] :
( ( decreasing(X9,X1,X15,X10,X16)
& increasing(X5,X0,X14,X1,X15)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> decreasing(compose_function(X9,X5,X0,X1,X10),X0,X14,X10,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII38) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1,X10,X14,X15,X16] :
( ( decreasing(X9,X1,X15,X10,X16)
& increasing(X5,X0,X14,X1,X15)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> decreasing(compose_function(X9,X5,X0,X1,X10),X0,X14,X10,X16) ),
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(f54,plain,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( ( apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) )
=> apply(X4,X6,X8) ) ),
inference(rectify,[],[f26]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4] :
( decreasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( ( apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) )
=> apply(X4,X8,X6) ) ),
inference(rectify,[],[f27]) ).
fof(f57,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( decreasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> decreasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7) ),
inference(rectify,[],[f30]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
=> ! [X5,X6,X7,X8] :
( ( apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) )
=> apply(X4,X6,X8) ) ),
inference(unused_predicate_definition_removal,[],[f54]) ).
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(ennf_transformation,[],[f42]) ).
fof(f65,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,[],[f64]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6,X7,X8] :
( apply(X4,X6,X8)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1) )
| ~ increasing(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f59]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6,X7,X8] :
( apply(X4,X6,X8)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1) )
| ~ increasing(X0,X1,X2,X3,X4) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4] :
( decreasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( apply(X4,X8,X6)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4] :
( decreasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( apply(X4,X8,X6)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1) ) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ decreasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
& decreasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f73,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ decreasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
& decreasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(flattening,[],[f72]) ).
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) ) )
& ( ? [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,[],[f65]) ).
fof(f99,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,[],[f98]) ).
fof(f100,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(f101,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])],[f99,f100]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ( decreasing(X0,X1,X2,X3,X4)
| ? [X5,X6,X7,X8] :
( ~ apply(X4,X8,X6)
& apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) ) )
& ( ! [X5,X6,X7,X8] :
( apply(X4,X8,X6)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1) )
| ~ decreasing(X0,X1,X2,X3,X4) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4] :
( ( decreasing(X0,X1,X2,X3,X4)
| ? [X5,X6,X7,X8] :
( ~ apply(X4,X8,X6)
& apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) ) )
& ( ! [X9,X10,X11,X12] :
( apply(X4,X12,X10)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1) )
| ~ decreasing(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6,X7,X8] :
( ~ apply(X4,X8,X6)
& apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) )
=> ( ~ apply(X4,sK12(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
& apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
& apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
& apply(X2,sK9(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4))
& member(sK12(X0,X1,X2,X3,X4),X3)
& member(sK11(X0,X1,X2,X3,X4),X1)
& member(sK10(X0,X1,X2,X3,X4),X3)
& member(sK9(X0,X1,X2,X3,X4),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( decreasing(X0,X1,X2,X3,X4)
| ( ~ apply(X4,sK12(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
& apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
& apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
& apply(X2,sK9(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4))
& member(sK12(X0,X1,X2,X3,X4),X3)
& member(sK11(X0,X1,X2,X3,X4),X1)
& member(sK10(X0,X1,X2,X3,X4),X3)
& member(sK9(X0,X1,X2,X3,X4),X1) ) )
& ( ! [X9,X10,X11,X12] :
( apply(X4,X12,X10)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1) )
| ~ decreasing(X0,X1,X2,X3,X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f122,f123]) ).
fof(f125,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ decreasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
& decreasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> ( ~ decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)
& decreasing(sK14,sK16,sK19,sK17,sK20)
& increasing(sK13,sK15,sK18,sK16,sK19)
& maps(sK14,sK16,sK17)
& maps(sK13,sK15,sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ~ decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)
& decreasing(sK14,sK16,sK19,sK17,sK20)
& increasing(sK13,sK15,sK18,sK16,sK19)
& maps(sK14,sK16,sK17)
& maps(sK13,sK15,sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f73,f125]) ).
fof(f156,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( 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(cnf_transformation,[],[f101]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(X1,X5,sK4(X0,X1,X3,X5,X6))
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f158,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f176,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( apply(X4,X6,X8)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1)
| ~ increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f177,plain,
! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
( apply(X4,X12,X10)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1)
| ~ decreasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f124]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X4] :
( decreasing(X0,X1,X2,X3,X4)
| member(sK9(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4] :
( decreasing(X0,X1,X2,X3,X4)
| member(sK10(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X4] :
( decreasing(X0,X1,X2,X3,X4)
| member(sK11(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f181,plain,
! [X2,X3,X0,X1,X4] :
( decreasing(X0,X1,X2,X3,X4)
| member(sK12(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f182,plain,
! [X2,X3,X0,X1,X4] :
( decreasing(X0,X1,X2,X3,X4)
| apply(X2,sK9(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f183,plain,
! [X2,X3,X0,X1,X4] :
( decreasing(X0,X1,X2,X3,X4)
| apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X4] :
( decreasing(X0,X1,X2,X3,X4)
| apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X4] :
( decreasing(X0,X1,X2,X3,X4)
| ~ apply(X4,sK12(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f188,plain,
increasing(sK13,sK15,sK18,sK16,sK19),
inference(cnf_transformation,[],[f126]) ).
fof(f189,plain,
decreasing(sK14,sK16,sK19,sK17,sK20),
inference(cnf_transformation,[],[f126]) ).
fof(f190,plain,
~ decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),
inference(cnf_transformation,[],[f126]) ).
cnf(c_79,plain,
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X5,X2)
| ~ member(X6,X4)
| apply(X0,sK4(X0,X1,X3,X5,X6),X6) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_80,plain,
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X5,X2)
| ~ member(X6,X4)
| apply(X1,X5,sK4(X0,X1,X3,X5,X6)) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_81,plain,
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X5,X2)
| ~ member(X6,X4)
| member(sK4(X0,X1,X3,X5,X6),X3) ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_98,plain,
( ~ increasing(X0,X1,X2,X3,X4)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8)
| ~ apply(X2,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| apply(X4,X6,X8) ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_99,plain,
( ~ apply(X0,sK12(X1,X2,X3,X4,X0),sK10(X1,X2,X3,X4,X0))
| decreasing(X1,X2,X3,X4,X0) ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_100,plain,
( apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
| decreasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_101,plain,
( apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| decreasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_102,plain,
( apply(X0,sK9(X1,X2,X0,X3,X4),sK11(X1,X2,X0,X3,X4))
| decreasing(X1,X2,X0,X3,X4) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_103,plain,
( member(sK12(X0,X1,X2,X3,X4),X3)
| decreasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_104,plain,
( member(sK11(X0,X1,X2,X3,X4),X1)
| decreasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_105,plain,
( member(sK10(X0,X1,X2,X3,X4),X3)
| decreasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_106,plain,
( member(sK9(X0,X1,X2,X3,X4),X1)
| decreasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_107,plain,
( ~ decreasing(X0,X1,X2,X3,X4)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8)
| ~ apply(X2,X7,X5)
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| apply(X4,X6,X8) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_108,negated_conjecture,
~ decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),
inference(cnf_transformation,[],[f190]) ).
cnf(c_109,negated_conjecture,
decreasing(sK14,sK16,sK19,sK17,sK20),
inference(cnf_transformation,[],[f189]) ).
cnf(c_110,negated_conjecture,
increasing(sK13,sK15,sK18,sK16,sK19),
inference(cnf_transformation,[],[f188]) ).
cnf(c_187,plain,
( member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_188,plain,
( member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_189,plain,
( member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_190,plain,
( member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_195,plain,
( apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_196,plain,
( apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_197,plain,
( apply(sK18,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_443,plain,
( ~ apply(compose_function(X0,X1,X2,X3,sK17),X4,sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(X4,X2)
| apply(X1,X4,sK4(X0,X1,X3,X4,sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_444,plain,
( ~ apply(compose_function(X0,X1,X2,X3,sK17),X4,sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(X4,X2)
| apply(X0,sK4(X0,X1,X3,X4,sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_445,plain,
( ~ apply(compose_function(X0,X1,X2,X3,sK17),X4,sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(X4,X2)
| member(sK4(X0,X1,X3,X4,sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X3) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_517,plain,
( ~ apply(compose_function(X0,X1,X2,X3,sK17),X4,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(X4,X2)
| apply(X1,X4,sK4(X0,X1,X3,X4,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_518,plain,
( ~ apply(compose_function(X0,X1,X2,X3,sK17),X4,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(X4,X2)
| apply(X0,sK4(X0,X1,X3,X4,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_519,plain,
( ~ apply(compose_function(X0,X1,X2,X3,sK17),X4,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(X4,X2)
| member(sK4(X0,X1,X3,X4,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X3) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_5336,plain,
( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| apply(sK14,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
inference(instantiation,[status(thm)],[c_444]) ).
cnf(c_5337,plain,
( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16) ),
inference(instantiation,[status(thm)],[c_445]) ).
cnf(c_5538,plain,
( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| apply(sK14,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
inference(instantiation,[status(thm)],[c_518]) ).
cnf(c_5539,plain,
( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16) ),
inference(instantiation,[status(thm)],[c_519]) ).
cnf(c_5540,plain,
( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| apply(sK13,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
inference(instantiation,[status(thm)],[c_443]) ).
cnf(c_5541,plain,
( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| apply(sK13,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
inference(instantiation,[status(thm)],[c_517]) ).
cnf(c_91048,plain,
( ~ apply(X0,X1,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ decreasing(X0,X2,X3,sK17,X4)
| ~ apply(X0,X5,X6)
| ~ apply(X3,X1,X5)
| ~ member(X1,X2)
| ~ member(X5,X2)
| ~ member(X6,sK17)
| apply(X4,X6,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_91970,plain,
( ~ increasing(sK13,sK15,sK18,sK16,sK19)
| ~ apply(sK13,X0,X1)
| ~ apply(sK13,X2,X3)
| ~ apply(sK18,X0,X2)
| ~ member(X0,sK15)
| ~ member(X1,sK16)
| ~ member(X2,sK15)
| ~ member(X3,sK16)
| apply(sK19,X1,X3) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_94437,plain,
( ~ apply(sK13,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
| ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
| ~ apply(sK18,X0,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| ~ increasing(sK13,sK15,sK18,sK16,sK19)
| ~ apply(sK13,X0,X1)
| ~ member(X0,sK15)
| ~ member(X1,sK16)
| apply(sK19,X1,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
inference(instantiation,[status(thm)],[c_91970]) ).
cnf(c_102123,plain,
( ~ apply(sK13,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
| ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
| ~ apply(sK18,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ apply(sK13,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X0)
| ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| ~ increasing(sK13,sK15,sK18,sK16,sK19)
| ~ member(X0,sK16)
| apply(sK19,X0,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
inference(instantiation,[status(thm)],[c_94437]) ).
cnf(c_104466,plain,
( ~ apply(sK13,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
| ~ apply(sK13,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
| ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
| ~ member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
| ~ apply(sK18,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
| ~ increasing(sK13,sK15,sK18,sK16,sK19)
| apply(sK19,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
inference(instantiation,[status(thm)],[c_102123]) ).
cnf(c_108866,plain,
( ~ apply(sK14,X0,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ decreasing(sK14,sK16,sK19,sK17,sK20)
| ~ apply(sK14,X1,X2)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK16)
| ~ member(X2,sK17)
| apply(sK20,X2,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
inference(instantiation,[status(thm)],[c_91048]) ).
cnf(c_116958,plain,
( ~ apply(sK19,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
| ~ apply(sK14,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ apply(sK14,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X0)
| ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
| ~ member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ decreasing(sK14,sK16,sK19,sK17,sK20)
| ~ member(X0,sK17)
| apply(sK20,X0,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
inference(instantiation,[status(thm)],[c_108866]) ).
cnf(c_119349,plain,
( ~ apply(sK19,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
| ~ apply(sK14,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ apply(sK14,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
| ~ member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
| ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ decreasing(sK14,sK16,sK19,sK17,sK20)
| apply(sK20,sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
inference(instantiation,[status(thm)],[c_116958]) ).
cnf(c_130144,plain,
( ~ apply(sK20,sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
| decreasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_130145,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_130144,c_119349,c_104466,c_5541,c_5540,c_5539,c_5538,c_5337,c_5336,c_197,c_196,c_195,c_190,c_189,c_188,c_187,c_108,c_109,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET747+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n018.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 : Sat Aug 26 13:42:15 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 74.80/10.84 % SZS status Started for theBenchmark.p
% 74.80/10.84 % SZS status Theorem for theBenchmark.p
% 74.80/10.84
% 74.80/10.84 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 74.80/10.84
% 74.80/10.84 ------ iProver source info
% 74.80/10.84
% 74.80/10.84 git: date: 2023-05-31 18:12:56 +0000
% 74.80/10.84 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 74.80/10.84 git: non_committed_changes: false
% 74.80/10.84 git: last_make_outside_of_git: false
% 74.80/10.84
% 74.80/10.84 ------ Parsing...
% 74.80/10.84 ------ Clausification by vclausify_rel & Parsing by iProver...
% 74.80/10.84
% 74.80/10.84 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 74.80/10.84
% 74.80/10.84 ------ Preprocessing...
% 74.80/10.84
% 74.80/10.84 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 74.80/10.84 ------ Proving...
% 74.80/10.84 ------ Problem Properties
% 74.80/10.84
% 74.80/10.84
% 74.80/10.84 clauses 64
% 74.80/10.84 conjectures 5
% 74.80/10.84 EPR 9
% 74.80/10.84 Horn 52
% 74.80/10.84 unary 9
% 74.80/10.84 binary 33
% 74.80/10.84 lits 167
% 74.80/10.84 lits eq 4
% 74.80/10.84 fd_pure 0
% 74.80/10.84 fd_pseudo 0
% 74.80/10.84 fd_cond 0
% 74.80/10.84 fd_pseudo_cond 3
% 74.80/10.84 AC symbols 0
% 74.80/10.84
% 74.80/10.84 ------ Input Options Time Limit: Unbounded
% 74.80/10.84
% 74.80/10.84
% 74.80/10.84 ------
% 74.80/10.84 Current options:
% 74.80/10.84 ------
% 74.80/10.84
% 74.80/10.84
% 74.80/10.84
% 74.80/10.84
% 74.80/10.84 ------ Proving...
% 74.80/10.84
% 74.80/10.84
% 74.80/10.84 % SZS status Theorem for theBenchmark.p
% 74.80/10.84
% 74.80/10.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 74.80/10.84
% 74.80/10.84
%------------------------------------------------------------------------------