TSTP Solution File: SET746+4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET746+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 03:01:24 EDT 2024
% Result : Theorem 90.74s 12.85s
% Output : CNFRefutation 90.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 98 ( 15 unt; 0 def)
% Number of atoms : 467 ( 40 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 604 ( 235 ~; 249 |; 102 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-5 aty)
% Number of variables : 464 ( 0 sgn 219 !; 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(f29,conjecture,
! [X5,X9,X0,X1,X10,X14,X15,X16] :
( ( increasing(X9,X1,X15,X10,X16)
& increasing(X5,X0,X14,X1,X15)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> increasing(compose_function(X9,X5,X0,X1,X10),X0,X14,X10,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII37) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1,X10,X14,X15,X16] :
( ( increasing(X9,X1,X15,X10,X16)
& increasing(X5,X0,X14,X1,X15)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> increasing(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(f57,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( increasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7) ),
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(f67,plain,
! [X0,X1,X2,X3,X4] :
( increasing(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) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4] :
( increasing(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) ) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
& increasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f70,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
& increasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(flattening,[],[f69]) ).
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(f118,plain,
! [X0,X1,X2,X3,X4] :
( ( increasing(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) ) )
& ( ! [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(nnf_transformation,[],[f68]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( increasing(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) ) )
& ( ! [X9,X10,X11,X12] :
( apply(X4,X10,X12)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1) )
| ~ increasing(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f118]) ).
fof(f120,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) )
=> ( ~ apply(X4,sK10(X0,X1,X2,X3,X4),sK12(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(f121,plain,
! [X0,X1,X2,X3,X4] :
( ( increasing(X0,X1,X2,X3,X4)
| ( ~ apply(X4,sK10(X0,X1,X2,X3,X4),sK12(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,X10,X12)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1) )
| ~ increasing(X0,X1,X2,X3,X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f119,f120]) ).
fof(f122,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
& increasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> ( ~ increasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)
& increasing(sK14,sK16,sK19,sK17,sK20)
& increasing(sK13,sK15,sK18,sK16,sK19)
& maps(sK14,sK16,sK17)
& maps(sK13,sK15,sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ~ increasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)
& increasing(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])],[f70,f122]) ).
fof(f153,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,[],[f98]) ).
fof(f154,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,[],[f98]) ).
fof(f155,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,[],[f98]) ).
fof(f173,plain,
! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
( apply(X4,X10,X12)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1)
| ~ increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f174,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK9(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f175,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK10(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f121]) ).
fof(f176,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK11(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f177,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK12(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f121]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| apply(X2,sK9(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f181,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| ~ apply(X4,sK10(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f184,plain,
increasing(sK13,sK15,sK18,sK16,sK19),
inference(cnf_transformation,[],[f123]) ).
fof(f185,plain,
increasing(sK14,sK16,sK19,sK17,sK20),
inference(cnf_transformation,[],[f123]) ).
fof(f186,plain,
~ increasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),
inference(cnf_transformation,[],[f123]) ).
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,[],[f155]) ).
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,[],[f154]) ).
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,[],[f153]) ).
cnf(c_98,plain,
( ~ apply(X0,sK10(X1,X2,X3,X4,X0),sK12(X1,X2,X3,X4,X0))
| increasing(X1,X2,X3,X4,X0) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_99,plain,
( apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_100,plain,
( apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_101,plain,
( apply(X0,sK9(X1,X2,X0,X3,X4),sK11(X1,X2,X0,X3,X4))
| increasing(X1,X2,X0,X3,X4) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_102,plain,
( member(sK12(X0,X1,X2,X3,X4),X3)
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_103,plain,
( member(sK11(X0,X1,X2,X3,X4),X1)
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_104,plain,
( member(sK10(X0,X1,X2,X3,X4),X3)
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_105,plain,
( member(sK9(X0,X1,X2,X3,X4),X1)
| increasing(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_106,plain,
( ~ increasing(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,X8,X6) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_107,negated_conjecture,
~ increasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),
inference(cnf_transformation,[],[f186]) ).
cnf(c_108,negated_conjecture,
increasing(sK14,sK16,sK19,sK17,sK20),
inference(cnf_transformation,[],[f185]) ).
cnf(c_109,negated_conjecture,
increasing(sK13,sK15,sK18,sK16,sK19),
inference(cnf_transformation,[],[f184]) ).
cnf(c_231,plain,
( ~ apply(X0,sK10(X1,X2,X3,X4,X0),sK12(X1,X2,X3,X4,X0))
| increasing(X1,X2,X3,X4,X0) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
cnf(c_233,plain,
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
inference(prop_impl_just,[status(thm)],[c_99]) ).
cnf(c_234,plain,
( apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
| increasing(X0,X1,X2,X3,X4) ),
inference(renaming,[status(thm)],[c_233]) ).
cnf(c_235,plain,
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
cnf(c_236,plain,
( apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| increasing(X0,X1,X2,X3,X4) ),
inference(renaming,[status(thm)],[c_235]) ).
cnf(c_237,plain,
( increasing(X0,X1,X2,X3,X4)
| member(sK12(X0,X1,X2,X3,X4),X3) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
cnf(c_238,plain,
( member(sK12(X0,X1,X2,X3,X4),X3)
| increasing(X0,X1,X2,X3,X4) ),
inference(renaming,[status(thm)],[c_237]) ).
cnf(c_239,plain,
( increasing(X0,X1,X2,X3,X4)
| member(sK11(X0,X1,X2,X3,X4),X1) ),
inference(prop_impl_just,[status(thm)],[c_103]) ).
cnf(c_240,plain,
( member(sK11(X0,X1,X2,X3,X4),X1)
| increasing(X0,X1,X2,X3,X4) ),
inference(renaming,[status(thm)],[c_239]) ).
cnf(c_241,plain,
( increasing(X0,X1,X2,X3,X4)
| member(sK10(X0,X1,X2,X3,X4),X3) ),
inference(prop_impl_just,[status(thm)],[c_104]) ).
cnf(c_242,plain,
( member(sK10(X0,X1,X2,X3,X4),X3)
| increasing(X0,X1,X2,X3,X4) ),
inference(renaming,[status(thm)],[c_241]) ).
cnf(c_243,plain,
( increasing(X0,X1,X2,X3,X4)
| member(sK9(X0,X1,X2,X3,X4),X1) ),
inference(prop_impl_just,[status(thm)],[c_105]) ).
cnf(c_244,plain,
( member(sK9(X0,X1,X2,X3,X4),X1)
| increasing(X0,X1,X2,X3,X4) ),
inference(renaming,[status(thm)],[c_243]) ).
cnf(c_281,plain,
( apply(X0,sK9(X1,X2,X0,X3,X4),sK11(X1,X2,X0,X3,X4))
| increasing(X1,X2,X0,X3,X4) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
cnf(c_1093,plain,
( compose_function(sK14,sK13,sK15,sK16,sK17) != X1
| X0 != sK20
| X2 != sK15
| X3 != sK18
| X4 != sK17
| ~ apply(X0,sK10(X1,X2,X3,X4,X0),sK12(X1,X2,X3,X4,X0)) ),
inference(resolution_lifted,[status(thm)],[c_231,c_107]) ).
cnf(c_1094,plain,
~ apply(sK20,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),
inference(unflattening,[status(thm)],[c_1093]) ).
cnf(c_1127,plain,
( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
| X1 != sK15
| X2 != sK18
| X3 != sK17
| X4 != sK20
| member(sK9(X0,X1,X2,X3,X4),X1) ),
inference(resolution_lifted,[status(thm)],[c_244,c_107]) ).
cnf(c_1128,plain,
member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15),
inference(unflattening,[status(thm)],[c_1127]) ).
cnf(c_1132,plain,
( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
| X1 != sK15
| X2 != sK18
| X3 != sK17
| X4 != sK20
| member(sK10(X0,X1,X2,X3,X4),X3) ),
inference(resolution_lifted,[status(thm)],[c_242,c_107]) ).
cnf(c_1133,plain,
member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17),
inference(unflattening,[status(thm)],[c_1132]) ).
cnf(c_1137,plain,
( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
| X1 != sK15
| X2 != sK18
| X3 != sK17
| X4 != sK20
| member(sK11(X0,X1,X2,X3,X4),X1) ),
inference(resolution_lifted,[status(thm)],[c_240,c_107]) ).
cnf(c_1138,plain,
member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15),
inference(unflattening,[status(thm)],[c_1137]) ).
cnf(c_1142,plain,
( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
| X1 != sK15
| X2 != sK18
| X3 != sK17
| X4 != sK20
| member(sK12(X0,X1,X2,X3,X4),X3) ),
inference(resolution_lifted,[status(thm)],[c_238,c_107]) ).
cnf(c_1143,plain,
member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17),
inference(unflattening,[status(thm)],[c_1142]) ).
cnf(c_1147,plain,
( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
| X1 != sK15
| X2 != sK18
| X3 != sK17
| X4 != sK20
| apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ),
inference(resolution_lifted,[status(thm)],[c_236,c_107]) ).
cnf(c_1148,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)),
inference(unflattening,[status(thm)],[c_1147]) ).
cnf(c_1152,plain,
( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
| X1 != sK15
| X2 != sK18
| X3 != sK17
| X4 != sK20
| apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
inference(resolution_lifted,[status(thm)],[c_234,c_107]) ).
cnf(c_1153,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)),
inference(unflattening,[status(thm)],[c_1152]) ).
cnf(c_1211,plain,
( compose_function(sK14,sK13,sK15,sK16,sK17) != X1
| X0 != sK18
| X2 != sK15
| X3 != sK17
| X4 != sK20
| apply(X0,sK9(X1,X2,X0,X3,X4),sK11(X1,X2,X0,X3,X4)) ),
inference(resolution_lifted,[status(thm)],[c_281,c_107]) ).
cnf(c_1212,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)),
inference(unflattening,[status(thm)],[c_1211]) ).
cnf(c_2850,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_81]) ).
cnf(c_2851,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_80]) ).
cnf(c_2852,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_79]) ).
cnf(c_2869,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_81]) ).
cnf(c_2870,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_80]) ).
cnf(c_2871,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_79]) ).
cnf(c_6569,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))
| ~ apply(X0,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X1)
| ~ apply(X0,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X2)
| ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X3)
| ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X3)
| ~ increasing(X0,X3,sK18,X4,X5)
| ~ member(X1,X4)
| ~ member(X2,X4)
| apply(X5,X2,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_8388,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)),X0)
| ~ 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),X1)
| ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X2)
| ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X2)
| ~ increasing(sK13,X2,sK18,X0,X3)
| ~ member(X1,X0)
| apply(X3,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_6569]) ).
cnf(c_13684,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)),X0)
| ~ 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)),X0)
| ~ 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),X1)
| ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X1)
| ~ increasing(sK13,X1,sK18,X0,X2)
| apply(X2,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_8388]) ).
cnf(c_21967,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_13684]) ).
cnf(c_27034,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(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)),X1)
| ~ apply(X0,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)),X2)
| ~ 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)),X3)
| ~ 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)),X3)
| ~ increasing(X0,X3,sK19,X4,X5)
| ~ member(X1,X4)
| ~ member(X2,X4)
| apply(X5,X2,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_34010,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)),X0)
| ~ 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)),X1)
| ~ 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)
| ~ increasing(sK14,sK16,sK19,sK17,sK20)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK20,X1,X0) ),
inference(instantiation,[status(thm)],[c_27034]) ).
cnf(c_36843,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)
| ~ increasing(sK14,sK16,sK19,sK17,sK20)
| ~ member(X0,sK17)
| apply(sK20,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X0) ),
inference(instantiation,[status(thm)],[c_34010]) ).
cnf(c_43702,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(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
| ~ increasing(sK14,sK16,sK19,sK17,sK20)
| apply(sK20,sK10(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_36843]) ).
cnf(c_43703,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43702,c_21967,c_2869,c_2870,c_2871,c_2850,c_2851,c_2852,c_1212,c_1153,c_1148,c_1143,c_1138,c_1133,c_1128,c_1094,c_108,c_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET746+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 20:12:49 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 90.74/12.85 % SZS status Started for theBenchmark.p
% 90.74/12.85 % SZS status Theorem for theBenchmark.p
% 90.74/12.85
% 90.74/12.85 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 90.74/12.85
% 90.74/12.85 ------ iProver source info
% 90.74/12.85
% 90.74/12.85 git: date: 2024-05-02 19:28:25 +0000
% 90.74/12.85 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 90.74/12.85 git: non_committed_changes: false
% 90.74/12.85
% 90.74/12.85 ------ Parsing...
% 90.74/12.85 ------ Clausification by vclausify_rel & Parsing by iProver...
% 90.74/12.85
% 90.74/12.85 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e
% 90.74/12.85
% 90.74/12.85 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 90.74/12.85
% 90.74/12.85 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 90.74/12.85 ------ Proving...
% 90.74/12.85 ------ Problem Properties
% 90.74/12.85
% 90.74/12.85
% 90.74/12.85 clauses 64
% 90.74/12.85 conjectures 3
% 90.74/12.85 EPR 7
% 90.74/12.85 Horn 52
% 90.74/12.85 unary 7
% 90.74/12.85 binary 37
% 90.74/12.85 lits 163
% 90.74/12.85 lits eq 5
% 90.74/12.85 fd_pure 0
% 90.74/12.85 fd_pseudo 0
% 90.74/12.85 fd_cond 0
% 90.74/12.85 fd_pseudo_cond 4
% 90.74/12.85 AC symbols 0
% 90.74/12.85
% 90.74/12.85 ------ Input Options Time Limit: Unbounded
% 90.74/12.85
% 90.74/12.85
% 90.74/12.85 ------
% 90.74/12.85 Current options:
% 90.74/12.85 ------
% 90.74/12.85
% 90.74/12.85
% 90.74/12.85
% 90.74/12.85
% 90.74/12.85 ------ Proving...
% 90.74/12.85
% 90.74/12.85
% 90.74/12.85 % SZS status Theorem for theBenchmark.p
% 90.74/12.85
% 90.74/12.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 90.74/12.85
% 90.74/12.86
%------------------------------------------------------------------------------