%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:41:36 AM UTC 2026
% Result : Unsatisfiable 6.65s 1.96s
% Output : Refutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 161 ( 28 unt; 18 def)
% Number of atoms : 914 ( 290 equ)
% Maximal formula atoms : 60 ( 5 avg)
% Number of connectives : 1112 ( 359 ~; 483 |; 241 &)
% ( 23 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 237 ( 0 sgn 162 !; 75 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp3(X1) )
& ? [X1] :
( rr(X0,X1)
& cp4(X1)
& cp(X1) )
& ? [X1] :
( rr(X0,X1)
& cp4(X1) )
& ? [X1] :
( rr(X0,X1)
& cp2(X1)
& cp(X1) )
& ? [X1] :
( rr(X0,X1)
& cp5(X1) )
& ? [X1] :
( rr(X0,X1)
& cp(X1)
& cp3(X1) )
& ? [X1] :
( rr(X0,X1)
& cp1(X1) )
& ! [X2,X3,X4,X5,X6] :
( ( rr(X0,X2)
& rr(X0,X3)
& rr(X0,X4)
& rr(X0,X5)
& rr(X0,X6) )
=> ( X2 = X3
| X2 = X4
| X2 = X5
| X2 = X6
| X3 = X4
| X3 = X5
| X3 = X6
| X4 = X5
| X4 = X6
| X5 = X6 ) )
& ? [X1] :
( rr(X0,X1)
& cp1(X1)
& cp(X1) )
& ? [X1] :
( rr(X0,X1)
& cp2(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f17,axiom,
! [X0] :
( cp1(X0)
=> ~ ( cp2(X0)
| cp4(X0)
| cp5(X0)
| cp3(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f18,axiom,
! [X0] :
( cp2(X0)
=> ~ ( cp4(X0)
| cp5(X0)
| cp3(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f19,axiom,
! [X0] :
( cp3(X0)
=> ~ ( cp4(X0)
| cp5(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f20,axiom,
! [X0] :
( cp4(X0)
=> ~ cp5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_24236),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f22,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp3(X1) )
& ? [X2] :
( rr(X0,X2)
& cp4(X2)
& cp(X2) )
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& ? [X4] :
( rr(X0,X4)
& cp2(X4)
& cp(X4) )
& ? [X5] :
( rr(X0,X5)
& cp5(X5) )
& ? [X6] :
( rr(X0,X6)
& cp(X6)
& cp3(X6) )
& ? [X7] :
( rr(X0,X7)
& cp1(X7) )
& ! [X8,X9,X10,X11,X12] :
( ( rr(X0,X8)
& rr(X0,X9)
& rr(X0,X10)
& rr(X0,X11)
& rr(X0,X12) )
=> ( X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12 ) )
& ? [X13] :
( rr(X0,X13)
& cp1(X13)
& cp(X13) )
& ? [X14] :
( rr(X0,X14)
& cp2(X14) ) ) ),
inference(rectify,[],[f16]) ).
fof(f49,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp3(X1) )
& ? [X2] :
( rr(X0,X2)
& cp4(X2)
& cp(X2) )
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& ? [X4] :
( rr(X0,X4)
& cp2(X4)
& cp(X4) )
& ? [X5] :
( rr(X0,X5)
& cp5(X5) )
& ? [X6] :
( rr(X0,X6)
& cp(X6)
& cp3(X6) )
& ? [X7] :
( rr(X0,X7)
& cp1(X7) )
& ! [X8,X9,X10,X11,X12] :
( X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rr(X0,X8)
| ~ rr(X0,X9)
| ~ rr(X0,X10)
| ~ rr(X0,X11)
| ~ rr(X0,X12) )
& ? [X13] :
( rr(X0,X13)
& cp1(X13)
& cp(X13) )
& ? [X14] :
( rr(X0,X14)
& cp2(X14) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp3(X1) )
& ? [X2] :
( rr(X0,X2)
& cp4(X2)
& cp(X2) )
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& ? [X4] :
( rr(X0,X4)
& cp2(X4)
& cp(X4) )
& ? [X5] :
( rr(X0,X5)
& cp5(X5) )
& ? [X6] :
( rr(X0,X6)
& cp(X6)
& cp3(X6) )
& ? [X7] :
( rr(X0,X7)
& cp1(X7) )
& ! [X8,X9,X10,X11,X12] :
( X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rr(X0,X8)
| ~ rr(X0,X9)
| ~ rr(X0,X10)
| ~ rr(X0,X11)
| ~ rr(X0,X12) )
& ? [X13] :
( rr(X0,X13)
& cp1(X13)
& cp(X13) )
& ? [X14] :
( rr(X0,X14)
& cp2(X14) ) ) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ( ~ cp2(X0)
& ~ cp4(X0)
& ~ cp5(X0)
& ~ cp3(X0) )
| ~ cp1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f52,plain,
! [X0] :
( ( ~ cp4(X0)
& ~ cp5(X0)
& ~ cp3(X0) )
| ~ cp2(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f53,plain,
! [X0] :
( ( ~ cp4(X0)
& ~ cp5(X0) )
| ~ cp3(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f54,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp4(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f55,definition,
! [X0] :
( sP0(X0)
<=> ? [X13] :
( rr(X0,X13)
& cp1(X13)
& cp(X13) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f56,definition,
! [X0] :
( sP1(X0)
<=> ? [X6] :
( rr(X0,X6)
& cp(X6)
& cp3(X6) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f57,definition,
! [X0] :
( sP2(X0)
<=> ? [X4] :
( rr(X0,X4)
& cp2(X4)
& cp(X4) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f58,definition,
! [X0] :
( sP3(X0)
<=> ? [X2] :
( rr(X0,X2)
& cp4(X2)
& cp(X2) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f59,definition,
! [X0] :
( sP4(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp3(X1) )
& sP3(X0)
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& sP2(X0)
& ? [X5] :
( rr(X0,X5)
& cp5(X5) )
& sP1(X0)
& ? [X7] :
( rr(X0,X7)
& cp1(X7) )
& ! [X8,X9,X10,X11,X12] :
( X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rr(X0,X8)
| ~ rr(X0,X9)
| ~ rr(X0,X10)
| ~ rr(X0,X11)
| ~ rr(X0,X12) )
& sP0(X0)
& ? [X14] :
( rr(X0,X14)
& cp2(X14) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f60,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP4(X0) ),
inference(definition_folding,[],[f50,f59,f58,f57,f56,f55]) ).
fof(f62,plain,
! [X0] :
( ( sP4(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp3(X1) )
| ~ sP3(X0)
| ! [X3] :
( ~ rr(X0,X3)
| ~ cp4(X3) )
| ~ sP2(X0)
| ! [X5] :
( ~ rr(X0,X5)
| ~ cp5(X5) )
| ~ sP1(X0)
| ! [X7] :
( ~ rr(X0,X7)
| ~ cp1(X7) )
| ? [X8,X9,X10,X11,X12] :
( X8 != X9
& X8 != X10
& X8 != X11
& X8 != X12
& X9 != X10
& X9 != X11
& X9 != X12
& X10 != X11
& X10 != X12
& X11 != X12
& rr(X0,X8)
& rr(X0,X9)
& rr(X0,X10)
& rr(X0,X11)
& rr(X0,X12) )
| ~ sP0(X0)
| ! [X14] :
( ~ rr(X0,X14)
| ~ cp2(X14) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& cp3(X1) )
& sP3(X0)
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& sP2(X0)
& ? [X5] :
( rr(X0,X5)
& cp5(X5) )
& sP1(X0)
& ? [X7] :
( rr(X0,X7)
& cp1(X7) )
& ! [X8,X9,X10,X11,X12] :
( X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rr(X0,X8)
| ~ rr(X0,X9)
| ~ rr(X0,X10)
| ~ rr(X0,X11)
| ~ rr(X0,X12) )
& sP0(X0)
& ? [X14] :
( rr(X0,X14)
& cp2(X14) ) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f63,plain,
! [X0] :
( ( sP4(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp3(X1) )
| ~ sP3(X0)
| ! [X3] :
( ~ rr(X0,X3)
| ~ cp4(X3) )
| ~ sP2(X0)
| ! [X5] :
( ~ rr(X0,X5)
| ~ cp5(X5) )
| ~ sP1(X0)
| ! [X7] :
( ~ rr(X0,X7)
| ~ cp1(X7) )
| ? [X8,X9,X10,X11,X12] :
( X8 != X9
& X8 != X10
& X8 != X11
& X8 != X12
& X9 != X10
& X9 != X11
& X9 != X12
& X10 != X11
& X10 != X12
& X11 != X12
& rr(X0,X8)
& rr(X0,X9)
& rr(X0,X10)
& rr(X0,X11)
& rr(X0,X12) )
| ~ sP0(X0)
| ! [X14] :
( ~ rr(X0,X14)
| ~ cp2(X14) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& cp3(X1) )
& sP3(X0)
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& sP2(X0)
& ? [X5] :
( rr(X0,X5)
& cp5(X5) )
& sP1(X0)
& ? [X7] :
( rr(X0,X7)
& cp1(X7) )
& ! [X8,X9,X10,X11,X12] :
( X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rr(X0,X8)
| ~ rr(X0,X9)
| ~ rr(X0,X10)
| ~ rr(X0,X11)
| ~ rr(X0,X12) )
& sP0(X0)
& ? [X14] :
( rr(X0,X14)
& cp2(X14) ) )
| ~ sP4(X0) ) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ( sP4(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp3(X1) )
| ~ sP3(X0)
| ! [X2] :
( ~ rr(X0,X2)
| ~ cp4(X2) )
| ~ sP2(X0)
| ! [X3] :
( ~ rr(X0,X3)
| ~ cp5(X3) )
| ~ sP1(X0)
| ! [X4] :
( ~ rr(X0,X4)
| ~ cp1(X4) )
| ? [X5,X6,X7,X8,X9] :
( X5 != X6
& X5 != X7
& X5 != X8
& X5 != X9
& X6 != X7
& X6 != X8
& X6 != X9
& X7 != X8
& X7 != X9
& X8 != X9
& rr(X0,X5)
& rr(X0,X6)
& rr(X0,X7)
& rr(X0,X8)
& rr(X0,X9) )
| ~ sP0(X0)
| ! [X10] :
( ~ rr(X0,X10)
| ~ cp2(X10) ) )
& ( ( ? [X11] :
( rr(X0,X11)
& cp3(X11) )
& sP3(X0)
& ? [X12] :
( rr(X0,X12)
& cp4(X12) )
& sP2(X0)
& ? [X13] :
( rr(X0,X13)
& cp5(X13) )
& sP1(X0)
& ? [X14] :
( rr(X0,X14)
& cp1(X14) )
& ! [X15,X16,X17,X18,X19] :
( X15 = X16
| X15 = X17
| X15 = X18
| X15 = X19
| X16 = X17
| X16 = X18
| X16 = X19
| X17 = X18
| X17 = X19
| X18 = X19
| ~ rr(X0,X15)
| ~ rr(X0,X16)
| ~ rr(X0,X17)
| ~ rr(X0,X18)
| ~ rr(X0,X19) )
& sP0(X0)
& ? [X20] :
( rr(X0,X20)
& cp2(X20) ) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ( sP4(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp3(X1) )
| ~ sP3(X0)
| ! [X2] :
( ~ rr(X0,X2)
| ~ cp4(X2) )
| ~ sP2(X0)
| ! [X3] :
( ~ rr(X0,X3)
| ~ cp5(X3) )
| ~ sP1(X0)
| ! [X4] :
( ~ rr(X0,X4)
| ~ cp1(X4) )
| ( sK5(X0) != sK6(X0)
& sK5(X0) != sK7(X0)
& sK5(X0) != sK8(X0)
& sK5(X0) != sK9(X0)
& sK6(X0) != sK7(X0)
& sK6(X0) != sK8(X0)
& sK6(X0) != sK9(X0)
& sK7(X0) != sK8(X0)
& sK7(X0) != sK9(X0)
& sK8(X0) != sK9(X0)
& rr(X0,sK5(X0))
& rr(X0,sK6(X0))
& rr(X0,sK7(X0))
& rr(X0,sK8(X0))
& rr(X0,sK9(X0)) )
| ~ sP0(X0)
| ! [X10] :
( ~ rr(X0,X10)
| ~ cp2(X10) ) )
& ( ( rr(X0,sK10(X0))
& cp3(sK10(X0))
& sP3(X0)
& rr(X0,sK11(X0))
& cp4(sK11(X0))
& sP2(X0)
& rr(X0,sK12(X0))
& cp5(sK12(X0))
& sP1(X0)
& rr(X0,sK13(X0))
& cp1(sK13(X0))
& ! [X15,X16,X17,X18,X19] :
( X15 = X16
| X15 = X17
| X15 = X18
| X15 = X19
| X16 = X17
| X16 = X18
| X16 = X19
| X17 = X18
| X17 = X19
| X18 = X19
| ~ rr(X0,X15)
| ~ rr(X0,X16)
| ~ rr(X0,X17)
| ~ rr(X0,X18)
| ~ rr(X0,X19) )
& sP0(X0)
& rr(X0,sK14(X0))
& cp2(sK14(X0)) )
| ~ sP4(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X5,sK5(X0)),skolemize(X6,sK6(X0)),skolemize(X7,sK7(X0)),skolemize(X8,sK8(X0)),skolemize(X9,sK9(X0)),skolemize(X11,sK10(X0)),skolemize(X12,sK11(X0)),skolemize(X13,sK12(X0)),skolemize(X14,sK13(X0)),skolemize(X20,sK14(X0))],[f64]) ).
fof(f78,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP4(X0) )
& ( sP4(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f96,plain,
! [X0] :
( cp2(sK14(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f97,plain,
! [X0] :
( rr(X0,sK14(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f99,plain,
! [X0,X18,X19,X16,X17,X15] :
( ~ sP4(X0)
| X15 = X17
| X15 = X18
| X15 = X19
| X16 = X17
| X16 = X18
| X16 = X19
| X17 = X18
| X17 = X19
| X18 = X19
| ~ rr(X0,X15)
| ~ rr(X0,X16)
| ~ rr(X0,X17)
| ~ rr(X0,X18)
| ~ rr(X0,X19)
| X15 = X16 ),
inference(cnf_transformation,[],[f65]) ).
fof(f100,plain,
! [X0] :
( cp1(sK13(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f101,plain,
! [X0] :
( rr(X0,sK13(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f103,plain,
! [X0] :
( cp5(sK12(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f104,plain,
! [X0] :
( rr(X0,sK12(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f106,plain,
! [X0] :
( cp4(sK11(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f107,plain,
! [X0] :
( rr(X0,sK11(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f109,plain,
! [X0] :
( cp3(sK10(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f110,plain,
! [X0] :
( rr(X0,sK10(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f142,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f144,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f145,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f146,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f147,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f148,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f149,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f150,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f151,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f152,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f153,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f154,plain,
cUnsatisfiable(i2003_11_14_17_19_24236),
inference(cnf_transformation,[],[f21]) ).
fof(f168,plain,
! [X0] :
( ~ cp1(sK14(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f147,f96]) ).
fof(f169,plain,
! [X0] :
( ~ cp1(sK12(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f145,f103]) ).
fof(f170,plain,
! [X0] :
( ~ cp1(sK11(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f146,f106]) ).
fof(f171,plain,
! [X0] :
( ~ cp1(sK10(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f144,f109]) ).
fof(f172,plain,
! [X0] :
( ~ cp2(sK12(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f149,f103]) ).
fof(f173,plain,
! [X0] :
( ~ cp2(sK11(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f150,f106]) ).
fof(f174,plain,
! [X0] :
( ~ cp2(sK10(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f148,f109]) ).
fof(f175,plain,
sP4(i2003_11_14_17_19_24236),
inference(resolution,[],[f154,f142]) ).
fof(f179,plain,
! [X0] :
( ~ cp4(sK12(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f153,f103]) ).
fof(f180,plain,
! [X0] :
( ~ cp3(sK12(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f151,f103]) ).
fof(f181,plain,
! [X0] :
( ~ cp3(sK11(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f152,f106]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X4] :
( ~ rr(i2003_11_14_17_19_24236,X3)
| X0 = X2
| X0 = X3
| X1 = X4
| X2 = X4
| X3 = X4
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rr(i2003_11_14_17_19_24236,X0)
| ~ rr(i2003_11_14_17_19_24236,X4)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X2)
| X0 = X1
| X0 = X4 ),
inference(resolution,[],[f99,f175]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| sK12(i2003_11_14_17_19_24236) = X0
| X2 = X3
| X1 = X3
| sK12(i2003_11_14_17_19_24236) = X3
| X1 = X2
| sK12(i2003_11_14_17_19_24236) = X2
| sK12(i2003_11_14_17_19_24236) = X1
| ~ rr(i2003_11_14_17_19_24236,X0)
| ~ rr(i2003_11_14_17_19_24236,X3)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| X0 = X2
| X0 = X3
| ~ sP4(i2003_11_14_17_19_24236) ),
inference(resolution,[],[f193,f104]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( ~ rr(i2003_11_14_17_19_24236,X1)
| sK12(i2003_11_14_17_19_24236) = X0
| X2 = X3
| X1 = X3
| sK12(i2003_11_14_17_19_24236) = X3
| X1 = X2
| sK12(i2003_11_14_17_19_24236) = X2
| sK12(i2003_11_14_17_19_24236) = X1
| ~ rr(i2003_11_14_17_19_24236,X0)
| ~ rr(i2003_11_14_17_19_24236,X3)
| ~ rr(i2003_11_14_17_19_24236,X2)
| X0 = X1
| X0 = X2
| X0 = X3 ),
inference(forward_subsumption_resolution,[],[f196,f175]) ).
fof(f205,plain,
! [X2,X0,X1] :
( sK12(i2003_11_14_17_19_24236) = X0
| X1 = X2
| sK11(i2003_11_14_17_19_24236) = X2
| sK12(i2003_11_14_17_19_24236) = X2
| sK11(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X0)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| sK11(i2003_11_14_17_19_24236) = X0
| X0 = X1
| X0 = X2
| ~ sP4(i2003_11_14_17_19_24236) ),
inference(resolution,[],[f201,f107]) ).
fof(f212,plain,
! [X2,X0,X1] :
( sK12(i2003_11_14_17_19_24236) = X0
| X1 = X2
| sK11(i2003_11_14_17_19_24236) = X2
| sK12(i2003_11_14_17_19_24236) = X2
| sK11(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X0)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| sK11(i2003_11_14_17_19_24236) = X0
| X0 = X1
| X0 = X2 ),
inference(forward_subsumption_resolution,[],[f205,f175]) ).
fof(f215,definition,
( spl19_1
<=> sK14(i2003_11_14_17_19_24236) = sK12(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f216,plain,
( sK14(i2003_11_14_17_19_24236) = sK12(i2003_11_14_17_19_24236)
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f222,definition,
( spl19_3
<=> sK13(i2003_11_14_17_19_24236) = sK12(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f223,plain,
( sK13(i2003_11_14_17_19_24236) = sK12(i2003_11_14_17_19_24236)
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f229,definition,
( spl19_5
<=> sK12(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f230,plain,
( sK12(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236)
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,definition,
( spl19_6
<=> ! [X2,X0,X1] :
( sK12(i2003_11_14_17_19_24236) = X0
| X0 = X2
| X0 = X1
| sK11(i2003_11_14_17_19_24236) = X0
| ~ rr(i2003_11_14_17_19_24236,X0)
| X1 = X2
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X2)
| sK12(i2003_11_14_17_19_24236) = X1
| sK11(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = X2
| sK11(i2003_11_14_17_19_24236) = X2 ) ),
introduced(definition,[new_symbols(definition,[spl19_6])],[avatar_definition]) ).
fof(f233,plain,
( ! [X2,X0,X1] :
( ~ rr(i2003_11_14_17_19_24236,X2)
| X0 = X2
| X0 = X1
| sK11(i2003_11_14_17_19_24236) = X0
| ~ rr(i2003_11_14_17_19_24236,X0)
| X1 = X2
| ~ rr(i2003_11_14_17_19_24236,X1)
| sK12(i2003_11_14_17_19_24236) = X0
| sK12(i2003_11_14_17_19_24236) = X1
| sK11(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = X2
| sK11(i2003_11_14_17_19_24236) = X2 )
| ~ spl19_6 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl19_5
| spl19_6 ),
inference(avatar_split_clause,[],[f212,f232,f229]) ).
fof(f236,definition,
( spl19_7
<=> sK12(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_7])],[avatar_definition]) ).
fof(f237,plain,
( sK12(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| ~ spl19_7 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f244,plain,
( ~ cp4(sK11(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_5 ),
inference(superposition,[],[f179,f230]) ).
fof(f249,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f244,f106]) ).
fof(f250,plain,
( $false
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f249,f175]) ).
fof(f251,plain,
~ spl19_5,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f256,plain,
( ~ cp3(sK10(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_7 ),
inference(superposition,[],[f180,f237]) ).
fof(f263,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_7 ),
inference(forward_subsumption_resolution,[],[f256,f109]) ).
fof(f264,plain,
( $false
| ~ spl19_7 ),
inference(forward_subsumption_resolution,[],[f263,f175]) ).
fof(f265,plain,
~ spl19_7,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f267,plain,
( cp1(sK12(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_3 ),
inference(superposition,[],[f100,f223]) ).
fof(f268,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f267,f169]) ).
fof(f269,plain,
( $false
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f268,f175]) ).
fof(f270,plain,
~ spl19_3,
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f274,plain,
( ! [X0,X1] :
( sK13(i2003_11_14_17_19_24236) = X0
| X0 = X1
| sK11(i2003_11_14_17_19_24236) = X0
| ~ rr(i2003_11_14_17_19_24236,X0)
| sK13(i2003_11_14_17_19_24236) = X1
| ~ rr(i2003_11_14_17_19_24236,X1)
| sK12(i2003_11_14_17_19_24236) = X0
| sK12(i2003_11_14_17_19_24236) = X1
| sK11(i2003_11_14_17_19_24236) = X1
| sK13(i2003_11_14_17_19_24236) = sK12(i2003_11_14_17_19_24236)
| sK13(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236)
| ~ sP4(i2003_11_14_17_19_24236) )
| ~ spl19_6 ),
inference(resolution,[],[f233,f101]) ).
fof(f279,plain,
( ! [X0,X1] :
( sK13(i2003_11_14_17_19_24236) = X0
| X0 = X1
| sK11(i2003_11_14_17_19_24236) = X0
| ~ rr(i2003_11_14_17_19_24236,X0)
| sK13(i2003_11_14_17_19_24236) = X1
| ~ rr(i2003_11_14_17_19_24236,X1)
| sK12(i2003_11_14_17_19_24236) = X0
| sK12(i2003_11_14_17_19_24236) = X1
| sK11(i2003_11_14_17_19_24236) = X1
| sK13(i2003_11_14_17_19_24236) = sK12(i2003_11_14_17_19_24236)
| sK13(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ~ spl19_6 ),
inference(forward_subsumption_resolution,[],[f274,f175]) ).
fof(f282,definition,
( spl19_9
<=> sK14(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_9])],[avatar_definition]) ).
fof(f283,plain,
( sK14(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236)
| ~ spl19_9 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f289,definition,
( spl19_11
<=> sK13(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_11])],[avatar_definition]) ).
fof(f290,plain,
( sK13(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236)
| ~ spl19_11 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,definition,
( spl19_12
<=> ! [X0,X1] :
( sK13(i2003_11_14_17_19_24236) = X0
| sK11(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = X0
| ~ rr(i2003_11_14_17_19_24236,X1)
| sK13(i2003_11_14_17_19_24236) = X1
| ~ rr(i2003_11_14_17_19_24236,X0)
| sK11(i2003_11_14_17_19_24236) = X0
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl19_12])],[avatar_definition]) ).
fof(f293,plain,
( ! [X0,X1] :
( ~ rr(i2003_11_14_17_19_24236,X0)
| sK11(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = X1
| sK12(i2003_11_14_17_19_24236) = X0
| ~ rr(i2003_11_14_17_19_24236,X1)
| sK13(i2003_11_14_17_19_24236) = X1
| sK13(i2003_11_14_17_19_24236) = X0
| sK11(i2003_11_14_17_19_24236) = X0
| X0 = X1 )
| ~ spl19_12 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( spl19_11
| spl19_3
| spl19_12
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f279,f232,f292,f222,f289]) ).
fof(f296,definition,
( spl19_13
<=> sK11(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_13])],[avatar_definition]) ).
fof(f297,plain,
( sK11(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| ~ spl19_13 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f303,plain,
( cp1(sK11(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_11 ),
inference(superposition,[],[f100,f290]) ).
fof(f304,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_11 ),
inference(forward_subsumption_resolution,[],[f303,f170]) ).
fof(f305,plain,
( $false
| ~ spl19_11 ),
inference(forward_subsumption_resolution,[],[f304,f175]) ).
fof(f306,plain,
~ spl19_11,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f310,plain,
( ~ cp3(sK10(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_13 ),
inference(superposition,[],[f181,f297]) ).
fof(f315,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_13 ),
inference(forward_subsumption_resolution,[],[f310,f109]) ).
fof(f316,plain,
( $false
| ~ spl19_13 ),
inference(forward_subsumption_resolution,[],[f315,f175]) ).
fof(f317,plain,
~ spl19_13,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f320,plain,
( cp2(sK12(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_1 ),
inference(superposition,[],[f96,f216]) ).
fof(f321,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f320,f172]) ).
fof(f322,plain,
( $false
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f321,f175]) ).
fof(f323,plain,
~ spl19_1,
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f328,plain,
( ! [X0] :
( sK11(i2003_11_14_17_19_24236) = X0
| sK12(i2003_11_14_17_19_24236) = X0
| sK14(i2003_11_14_17_19_24236) = sK12(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X0)
| sK13(i2003_11_14_17_19_24236) = X0
| sK14(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236)
| sK14(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236)
| sK14(i2003_11_14_17_19_24236) = X0
| ~ sP4(i2003_11_14_17_19_24236) )
| ~ spl19_12 ),
inference(resolution,[],[f293,f97]) ).
fof(f332,plain,
( ! [X0] :
( sK11(i2003_11_14_17_19_24236) = X0
| sK12(i2003_11_14_17_19_24236) = X0
| sK14(i2003_11_14_17_19_24236) = sK12(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X0)
| sK13(i2003_11_14_17_19_24236) = X0
| sK14(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236)
| sK14(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236)
| sK14(i2003_11_14_17_19_24236) = X0 )
| ~ spl19_12 ),
inference(forward_subsumption_resolution,[],[f328,f175]) ).
fof(f335,definition,
( spl19_15
<=> sK14(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_15])],[avatar_definition]) ).
fof(f336,plain,
( sK14(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236)
| ~ spl19_15 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f338,definition,
( spl19_16
<=> ! [X0] :
( sK11(i2003_11_14_17_19_24236) = X0
| sK14(i2003_11_14_17_19_24236) = X0
| sK13(i2003_11_14_17_19_24236) = X0
| ~ rr(i2003_11_14_17_19_24236,X0)
| sK12(i2003_11_14_17_19_24236) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl19_16])],[avatar_definition]) ).
fof(f339,plain,
( ! [X0] :
( ~ rr(i2003_11_14_17_19_24236,X0)
| sK14(i2003_11_14_17_19_24236) = X0
| sK13(i2003_11_14_17_19_24236) = X0
| sK11(i2003_11_14_17_19_24236) = X0
| sK12(i2003_11_14_17_19_24236) = X0 )
| ~ spl19_16 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( spl19_9
| spl19_15
| spl19_1
| spl19_16
| ~ spl19_12 ),
inference(avatar_split_clause,[],[f332,f292,f338,f215,f335,f282]) ).
fof(f342,definition,
( spl19_17
<=> sK13(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_17])],[avatar_definition]) ).
fof(f343,plain,
( sK13(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| ~ spl19_17 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f349,plain,
( cp1(sK10(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_17 ),
inference(superposition,[],[f100,f343]) ).
fof(f350,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_17 ),
inference(forward_subsumption_resolution,[],[f349,f171]) ).
fof(f351,plain,
( $false
| ~ spl19_17 ),
inference(forward_subsumption_resolution,[],[f350,f175]) ).
fof(f352,plain,
~ spl19_17,
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f355,plain,
( cp2(sK11(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_9 ),
inference(superposition,[],[f96,f283]) ).
fof(f356,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f355,f173]) ).
fof(f357,plain,
( $false
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f356,f175]) ).
fof(f358,plain,
~ spl19_9,
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f359,plain,
( sK14(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| sK13(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| sK11(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| sK12(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_16 ),
inference(resolution,[],[f339,f110]) ).
fof(f364,plain,
( sK14(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| sK13(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| sK11(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| sK12(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| ~ spl19_16 ),
inference(forward_subsumption_resolution,[],[f359,f175]) ).
fof(f366,definition,
( spl19_19
<=> sK14(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[spl19_19])],[avatar_definition]) ).
fof(f367,plain,
( sK14(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236)
| ~ spl19_19 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( spl19_7
| spl19_13
| spl19_17
| spl19_19
| ~ spl19_16 ),
inference(avatar_split_clause,[],[f364,f338,f366,f342,f296,f236]) ).
fof(f371,plain,
( cp2(sK10(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_19 ),
inference(superposition,[],[f96,f367]) ).
fof(f372,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_19 ),
inference(forward_subsumption_resolution,[],[f371,f174]) ).
fof(f373,plain,
( $false
| ~ spl19_19 ),
inference(forward_subsumption_resolution,[],[f372,f175]) ).
fof(f374,plain,
~ spl19_19,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f376,plain,
( ~ cp1(sK13(i2003_11_14_17_19_24236))
| ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_15 ),
inference(superposition,[],[f168,f336]) ).
fof(f379,plain,
( ~ sP4(i2003_11_14_17_19_24236)
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f376,f100]) ).
fof(f380,plain,
( $false
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f379,f175]) ).
fof(f381,plain,
~ spl19_15,
inference(avatar_contradiction_clause,[],[f380]) ).
cnf(s3,plain,
( spl19_5
| spl19_6 ),
inference(sat_conversion,[],[f234]) ).
cnf(s5,plain,
~ spl19_5,
inference(sat_conversion,[],[f251]) ).
cnf(s6,plain,
~ spl19_7,
inference(sat_conversion,[],[f265]) ).
cnf(s7,plain,
~ spl19_3,
inference(sat_conversion,[],[f270]) ).
cnf(s9,plain,
( spl19_3
| ~ spl19_6
| spl19_11
| spl19_12 ),
inference(sat_conversion,[],[f294]) ).
cnf(s11,plain,
~ spl19_11,
inference(sat_conversion,[],[f306]) ).
cnf(s12,plain,
~ spl19_13,
inference(sat_conversion,[],[f317]) ).
cnf(s13,plain,
~ spl19_1,
inference(sat_conversion,[],[f323]) ).
cnf(s14,plain,
( spl19_1
| spl19_9
| ~ spl19_12
| spl19_15
| spl19_16 ),
inference(sat_conversion,[],[f340]) ).
cnf(s16,plain,
~ spl19_17,
inference(sat_conversion,[],[f352]) ).
cnf(s17,plain,
~ spl19_9,
inference(sat_conversion,[],[f358]) ).
cnf(s18,plain,
( spl19_7
| spl19_13
| ~ spl19_16
| spl19_17
| spl19_19 ),
inference(sat_conversion,[],[f368]) ).
cnf(s19,plain,
~ spl19_19,
inference(sat_conversion,[],[f374]) ).
cnf(s20,plain,
~ spl19_15,
inference(sat_conversion,[],[f381]) ).
cnf(s21,plain,
( spl19_7
| spl19_13
| ~ spl19_16
| spl19_17 ),
inference(rat,[],[s18,s19]) ).
cnf(s23,plain,
( spl19_1
| ~ spl19_12
| spl19_16 ),
inference(rat,[],[s14,s20,s17]) ).
cnf(s25,plain,
( spl19_3
| ~ spl19_6
| spl19_12 ),
inference(rat,[],[s9,s11]) ).
cnf(s27,plain,
~ spl19_16,
inference(rat,[],[s21,s16,s12,s6]) ).
cnf(s28,plain,
~ spl19_12,
inference(rat,[],[s23,s13,s27]) ).
cnf(s29,plain,
~ spl19_6,
inference(rat,[],[s25,s7,s28]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s3,s29,s5]) ).
fof(f382,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.38 % Computer : n018.cluster.edu
% 0.08/0.38 % Model : x86_64 x86_64
% 0.08/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.38 % Memory : 8046.5625MB
% 0.08/0.38 % OS : Linux 6.8.0-71-generic
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Sun Sep 27 13:22:39 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.42 Running first-order theorem proving
% 0.08/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.65/1.96 % (2354356)Detected formulas, will run a generic FOF schedule.
% 6.65/1.96 % (2354365)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1304926164:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.65/1.96 % (2354365)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354365)------------------------------
% 6.65/1.96 % (2354365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354365)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354365)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354365)Time elapsed: 0.0000 s
% 6.65/1.96 % (2354365)Peak memory usage: 86 MB
% 6.65/1.96 % (2354364)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=193936156:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.65/1.96 % (2354363)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2914973318:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.65/1.96 % (2354367)dis-21_1_sil=8000:lcm=predicate:random_seed=3203984861:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.65/1.96 % (2354362)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3738617461:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.65/1.96 % (2354361)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3999594509:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.65/1.96 % (2354366)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1229388589:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.65/1.96 % (2354364)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354364)------------------------------
% 6.65/1.96 % (2354364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354364)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354364)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354364)Time elapsed: 0.0000 s
% 6.65/1.96 % (2354364)Peak memory usage: 86 MB
% 6.65/1.96 % (2354367)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354367)------------------------------
% 6.65/1.96 % (2354367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354367)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354367)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354367)Time elapsed: 0.034 s
% 6.65/1.96 % (2354367)Peak memory usage: 88 MB
% 6.65/1.96 % (2354367)Instructions burned: 74 (million)
% 6.65/1.96 % (2354366)Instruction limit reached!
% 6.65/1.96 % (2354366)------------------------------
% 6.65/1.96 % (2354366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354366)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354366)Termination reason: Instruction limit
% 6.65/1.96 % (2354366)Termination phase: Saturation
% 6.65/1.96 % (2354366)Time elapsed: 0.051 s
% 6.65/1.96 % (2354366)Peak memory usage: 88 MB
% 6.65/1.96 % (2354366)Instructions burned: 139 (million)
% 6.65/1.96 % (2354365)------------------------------
% 6.65/1.96 % (2354365)------------------------------
% 6.65/1.96 % (2354364)------------------------------
% 6.65/1.96 % (2354364)------------------------------
% 6.65/1.96 % (2354375)lrs+10_1_sil=8000:sp=occurrence:random_seed=3421781185:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.65/1.96 % (2354375)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354375)------------------------------
% 6.65/1.96 % (2354375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354375)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354375)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354375)Time elapsed: 0.001 s
% 6.65/1.96 % (2354375)Peak memory usage: 86 MB
% 6.65/1.96 % (2354376)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2324101693:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.65/1.96 % (2354376)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354376)------------------------------
% 6.65/1.96 % (2354376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354376)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354376)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354376)Time elapsed: 0.0000 s
% 6.65/1.96 % (2354376)Peak memory usage: 87 MB
% 6.65/1.96 % (2354367)------------------------------
% 6.65/1.96 % (2354367)------------------------------
% 6.65/1.96 % (2354376)------------------------------
% 6.65/1.96 % (2354376)------------------------------
% 6.65/1.96 % (2354379)lrs+1011_1_sil=32000:sp=occurrence:random_seed=150333743:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.65/1.96 % (2354379)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354379)------------------------------
% 6.65/1.96 % (2354379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354379)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354379)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354379)Time elapsed: 0.0000 s
% 6.65/1.96 % (2354379)Peak memory usage: 86 MB
% 6.65/1.96 % (2354380)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4075200973:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.65/1.96 % (2354375)------------------------------
% 6.65/1.96 % (2354375)------------------------------
% 6.65/1.96 % (2354382)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=295546858:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.65/1.96 % (2354382)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354382)------------------------------
% 6.65/1.96 % (2354382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354382)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354382)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354382)Time elapsed: 0.0000 s
% 6.65/1.96 % (2354382)Peak memory usage: 86 MB
% 6.65/1.96 % (2354380)Instruction limit reached!
% 6.65/1.96 % (2354380)------------------------------
% 6.65/1.96 % (2354380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354380)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354380)Termination reason: Instruction limit
% 6.65/1.96 % (2354380)Termination phase: Saturation
% 6.65/1.96 % (2354380)Time elapsed: 0.108 s
% 6.65/1.96 % (2354380)Peak memory usage: 89 MB
% 6.65/1.96 % (2354380)Instructions burned: 248 (million)
% 6.65/1.96 % (2354363)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354363)------------------------------
% 6.65/1.96 % (2354363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354363)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354363)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354363)Time elapsed: 0.577 s
% 6.65/1.96 % (2354363)Peak memory usage: 128 MB
% 6.65/1.96 % (2354363)Instructions burned: 860 (million)
% 6.65/1.96 % (2354379)------------------------------
% 6.65/1.96 % (2354379)------------------------------
% 6.65/1.96 % (2354362)First to succeed.
% 6.65/1.96 % (2354362)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2354356"
% 6.65/1.96 % (2354384)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2545891127:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.65/1.96 % (2354382)------------------------------
% 6.65/1.96 % (2354382)------------------------------
% 6.65/1.96 % (2354386)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=201436231:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.65/1.96 % (2354386)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354386)------------------------------
% 6.65/1.96 % (2354386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354386)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354386)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354386)Time elapsed: 0.002 s
% 6.65/1.96 % (2354386)Peak memory usage: 88 MB
% 6.65/1.96 % (2354386)Instructions burned: 2 (million)
% 6.65/1.96 % (2354389)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3148822746:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.65/1.96 % (2354389)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354389)------------------------------
% 6.65/1.96 % (2354389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354389)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354389)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354389)Time elapsed: 0.001 s
% 6.65/1.96 % (2354389)Peak memory usage: 87 MB
% 6.65/1.96 % (2354387)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2583922634:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 6.65/1.96 % (2354387)Refutation not found, incomplete strategy
% 6.65/1.96 % (2354387)------------------------------
% 6.65/1.96 % (2354387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.96 % (2354387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.96 % (2354387)CaDiCaL version: 2.1.3
% 6.65/1.96 % (2354387)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.96 % (2354387)Time elapsed: 0.002 s
% 6.65/1.96 % (2354387)Peak memory usage: 88 MB
% 6.65/1.96 % (2354387)Instructions burned: 2 (million)
% 6.65/1.96 % (2354363)------------------------------
% 6.65/1.96 % (2354363)------------------------------
% 6.65/1.96 % (2354362)Refutation found. Thanks to Tanya!
% 6.65/1.96 % SZS status Unsatisfiable for theBenchmark
% 6.65/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.38/2.16 % (2354362)------------------------------
% 8.38/2.16 % (2354362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/2.16 % (2354362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/2.16 % (2354362)CaDiCaL version: 2.1.3
% 8.38/2.16 % (2354362)Termination reason: Refutation
% 8.38/2.16 % (2354362)Time elapsed: 0.667 s
% 8.38/2.16 % (2354362)Peak memory usage: 128 MB
% 8.38/2.16 % (2354362)Instructions burned: 996 (million)
% 8.38/2.16 % (2354362)------------------------------
% 8.38/2.16 % (2354362)------------------------------
% 8.38/2.16 % (2354356)Success in time 1.102 s
% 8.38/2.16 % Vampire exiting
%------------------------------------------------------------------------------