%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS080+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 11:42:13 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of formulae : 147 ( 20 unt; 15 def)
% Number of atoms : 748 ( 150 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 849 ( 248 ~; 377 |; 199 &)
% ( 20 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 15 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 213 ( 0 sgn 149 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp(X1)
& cp1(X1) )
& ? [X1] :
( rr(X0,X1)
& cp1(X1) )
& ? [X1] :
( rr(X0,X1)
& cp4(X1) )
& ! [X2,X3,X4,X5] :
( ( rr(X0,X2)
& rr(X0,X3)
& rr(X0,X4)
& rr(X0,X5) )
=> ( X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5 ) )
& ? [X1] :
( rr(X0,X1)
& cp2(X1) )
& ? [X1] :
( rr(X0,X1)
& cp3(X1) )
& ? [X1] :
( rr(X0,X1)
& cp(X1)
& cp3(X1) )
& ? [X1] :
( rr(X0,X1)
& cp2(X1)
& cp(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f17,axiom,
! [X0] :
( cp1(X0)
=> ~ ( cp2(X0)
| cp4(X0)
| cp5(X0)
| cp3(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f18,axiom,
! [X0] :
( cp2(X0)
=> ~ ( cp4(X0)
| cp5(X0)
| cp3(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f19,axiom,
! [X0] :
( cp3(X0)
=> ~ ( cp4(X0)
| cp5(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f22,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp(X1)
& cp1(X1) )
& ? [X2] :
( rr(X0,X2)
& cp1(X2) )
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& ! [X4,X5,X6,X7] :
( ( rr(X0,X4)
& rr(X0,X5)
& rr(X0,X6)
& rr(X0,X7) )
=> ( X4 = X5
| X4 = X6
| X4 = X7
| X5 = X6
| X5 = X7
| X6 = X7 ) )
& ? [X8] :
( rr(X0,X8)
& cp2(X8) )
& ? [X9] :
( rr(X0,X9)
& cp3(X9) )
& ? [X10] :
( rr(X0,X10)
& cp(X10)
& cp3(X10) )
& ? [X11] :
( rr(X0,X11)
& cp2(X11)
& cp(X11) ) ) ),
inference(rectify,[],[f16]) ).
fof(f49,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp(X1)
& cp1(X1) )
& ? [X2] :
( rr(X0,X2)
& cp1(X2) )
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& ! [X4,X5,X6,X7] :
( X4 = X5
| X4 = X6
| X4 = X7
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rr(X0,X4)
| ~ rr(X0,X5)
| ~ rr(X0,X6)
| ~ rr(X0,X7) )
& ? [X8] :
( rr(X0,X8)
& cp2(X8) )
& ? [X9] :
( rr(X0,X9)
& cp3(X9) )
& ? [X10] :
( rr(X0,X10)
& cp(X10)
& cp3(X10) )
& ? [X11] :
( rr(X0,X11)
& cp2(X11)
& cp(X11) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp(X1)
& cp1(X1) )
& ? [X2] :
( rr(X0,X2)
& cp1(X2) )
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& ! [X4,X5,X6,X7] :
( X4 = X5
| X4 = X6
| X4 = X7
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rr(X0,X4)
| ~ rr(X0,X5)
| ~ rr(X0,X6)
| ~ rr(X0,X7) )
& ? [X8] :
( rr(X0,X8)
& cp2(X8) )
& ? [X9] :
( rr(X0,X9)
& cp3(X9) )
& ? [X10] :
( rr(X0,X10)
& cp(X10)
& cp3(X10) )
& ? [X11] :
( rr(X0,X11)
& cp2(X11)
& cp(X11) ) ) ),
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(f55,definition,
! [X0] :
( sP0(X0)
<=> ! [X4,X5,X6,X7] :
( X4 = X5
| X4 = X6
| X4 = X7
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rr(X0,X4)
| ~ rr(X0,X5)
| ~ rr(X0,X6)
| ~ rr(X0,X7) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f56,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cp(X1)
& cp1(X1) )
& ? [X2] :
( rr(X0,X2)
& cp1(X2) )
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& sP0(X0)
& ? [X8] :
( rr(X0,X8)
& cp2(X8) )
& ? [X9] :
( rr(X0,X9)
& cp3(X9) )
& ? [X10] :
( rr(X0,X10)
& cp(X10)
& cp3(X10) )
& ? [X11] :
( rr(X0,X11)
& cp2(X11)
& cp(X11) ) ) ),
inference(definition_folding,[],[f50,f55]) ).
fof(f58,plain,
! [X0] :
( ( sP0(X0)
| ? [X4,X5,X6,X7] :
( X4 != X5
& X4 != X6
& X4 != X7
& X5 != X6
& X5 != X7
& X6 != X7
& rr(X0,X4)
& rr(X0,X5)
& rr(X0,X6)
& rr(X0,X7) ) )
& ( ! [X4,X5,X6,X7] :
( X4 = X5
| X4 = X6
| X4 = X7
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rr(X0,X4)
| ~ rr(X0,X5)
| ~ rr(X0,X6)
| ~ rr(X0,X7) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f59,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3,X4] :
( X1 != X2
& X1 != X3
& X1 != X4
& X2 != X3
& X2 != X4
& X3 != X4
& rr(X0,X1)
& rr(X0,X2)
& rr(X0,X3)
& rr(X0,X4) ) )
& ( ! [X5,X6,X7,X8] :
( X5 = X6
| X5 = X7
| X5 = X8
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rr(X0,X5)
| ~ rr(X0,X6)
| ~ rr(X0,X7)
| ~ rr(X0,X8) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( sP0(X0)
| ( sK1(X0) != sK2(X0)
& sK1(X0) != sK3(X0)
& sK1(X0) != sK4(X0)
& sK2(X0) != sK3(X0)
& sK2(X0) != sK4(X0)
& sK3(X0) != sK4(X0)
& rr(X0,sK1(X0))
& rr(X0,sK2(X0))
& rr(X0,sK3(X0))
& rr(X0,sK4(X0)) ) )
& ( ! [X5,X6,X7,X8] :
( X5 = X6
| X5 = X7
| X5 = X8
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rr(X0,X5)
| ~ rr(X0,X6)
| ~ rr(X0,X7)
| ~ rr(X0,X8) )
| ~ sP0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0)),skolemize(X4,sK4(X0))],[f59]) ).
fof(f61,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp(X1)
| ~ cp1(X1) )
| ! [X2] :
( ~ rr(X0,X2)
| ~ cp1(X2) )
| ! [X3] :
( ~ rr(X0,X3)
| ~ cp4(X3) )
| ~ sP0(X0)
| ! [X8] :
( ~ rr(X0,X8)
| ~ cp2(X8) )
| ! [X9] :
( ~ rr(X0,X9)
| ~ cp3(X9) )
| ! [X10] :
( ~ rr(X0,X10)
| ~ cp(X10)
| ~ cp3(X10) )
| ! [X11] :
( ~ rr(X0,X11)
| ~ cp2(X11)
| ~ cp(X11) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& cp(X1)
& cp1(X1) )
& ? [X2] :
( rr(X0,X2)
& cp1(X2) )
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& sP0(X0)
& ? [X8] :
( rr(X0,X8)
& cp2(X8) )
& ? [X9] :
( rr(X0,X9)
& cp3(X9) )
& ? [X10] :
( rr(X0,X10)
& cp(X10)
& cp3(X10) )
& ? [X11] :
( rr(X0,X11)
& cp2(X11)
& cp(X11) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f62,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp(X1)
| ~ cp1(X1) )
| ! [X2] :
( ~ rr(X0,X2)
| ~ cp1(X2) )
| ! [X3] :
( ~ rr(X0,X3)
| ~ cp4(X3) )
| ~ sP0(X0)
| ! [X8] :
( ~ rr(X0,X8)
| ~ cp2(X8) )
| ! [X9] :
( ~ rr(X0,X9)
| ~ cp3(X9) )
| ! [X10] :
( ~ rr(X0,X10)
| ~ cp(X10)
| ~ cp3(X10) )
| ! [X11] :
( ~ rr(X0,X11)
| ~ cp2(X11)
| ~ cp(X11) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& cp(X1)
& cp1(X1) )
& ? [X2] :
( rr(X0,X2)
& cp1(X2) )
& ? [X3] :
( rr(X0,X3)
& cp4(X3) )
& sP0(X0)
& ? [X8] :
( rr(X0,X8)
& cp2(X8) )
& ? [X9] :
( rr(X0,X9)
& cp3(X9) )
& ? [X10] :
( rr(X0,X10)
& cp(X10)
& cp3(X10) )
& ? [X11] :
( rr(X0,X11)
& cp2(X11)
& cp(X11) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp(X1)
| ~ cp1(X1) )
| ! [X2] :
( ~ rr(X0,X2)
| ~ cp1(X2) )
| ! [X3] :
( ~ rr(X0,X3)
| ~ cp4(X3) )
| ~ sP0(X0)
| ! [X4] :
( ~ rr(X0,X4)
| ~ cp2(X4) )
| ! [X5] :
( ~ rr(X0,X5)
| ~ cp3(X5) )
| ! [X6] :
( ~ rr(X0,X6)
| ~ cp(X6)
| ~ cp3(X6) )
| ! [X7] :
( ~ rr(X0,X7)
| ~ cp2(X7)
| ~ cp(X7) ) )
& ( ( ? [X8] :
( rr(X0,X8)
& cp(X8)
& cp1(X8) )
& ? [X9] :
( rr(X0,X9)
& cp1(X9) )
& ? [X10] :
( rr(X0,X10)
& cp4(X10) )
& sP0(X0)
& ? [X11] :
( rr(X0,X11)
& cp2(X11) )
& ? [X12] :
( rr(X0,X12)
& cp3(X12) )
& ? [X13] :
( rr(X0,X13)
& cp(X13)
& cp3(X13) )
& ? [X14] :
( rr(X0,X14)
& cp2(X14)
& cp(X14) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp(X1)
| ~ cp1(X1) )
| ! [X2] :
( ~ rr(X0,X2)
| ~ cp1(X2) )
| ! [X3] :
( ~ rr(X0,X3)
| ~ cp4(X3) )
| ~ sP0(X0)
| ! [X4] :
( ~ rr(X0,X4)
| ~ cp2(X4) )
| ! [X5] :
( ~ rr(X0,X5)
| ~ cp3(X5) )
| ! [X6] :
( ~ rr(X0,X6)
| ~ cp(X6)
| ~ cp3(X6) )
| ! [X7] :
( ~ rr(X0,X7)
| ~ cp2(X7)
| ~ cp(X7) ) )
& ( ( rr(X0,sK5(X0))
& cp(sK5(X0))
& cp1(sK5(X0))
& rr(X0,sK6(X0))
& cp1(sK6(X0))
& rr(X0,sK7(X0))
& cp4(sK7(X0))
& sP0(X0)
& rr(X0,sK8(X0))
& cp2(sK8(X0))
& rr(X0,sK9(X0))
& cp3(sK9(X0))
& rr(X0,sK10(X0))
& cp(sK10(X0))
& cp3(sK10(X0))
& rr(X0,sK11(X0))
& cp2(sK11(X0))
& cp(sK11(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X8,sK5(X0)),skolemize(X9,sK6(X0)),skolemize(X10,sK7(X0)),skolemize(X11,sK8(X0)),skolemize(X12,sK9(X0)),skolemize(X13,sK10(X0)),skolemize(X14,sK11(X0))],[f63]) ).
fof(f82,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| X5 = X7
| X5 = X8
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rr(X0,X5)
| ~ rr(X0,X6)
| ~ rr(X0,X7)
| ~ rr(X0,X8)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f94,plain,
! [X0] :
( cp2(sK11(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f95,plain,
! [X0] :
( rr(X0,sK11(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f96,plain,
! [X0] :
( cp3(sK10(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f98,plain,
! [X0] :
( rr(X0,sK10(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f103,plain,
! [X0] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f104,plain,
! [X0] :
( cp4(sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f105,plain,
! [X0] :
( rr(X0,sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f106,plain,
! [X0] :
( cp1(sK6(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f107,plain,
! [X0] :
( rr(X0,sK6(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f112,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f114,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f115,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f116,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f118,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f120,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f122,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(cnf_transformation,[],[f21]) ).
fof(f156,plain,
! [X0,X8,X6,X7,X5] :
( sP0(X0)
| X5 = X7
| X5 = X8
| X6 = X7
| X6 = X8
| X7 = X8
| rr(X0,X5)
| rr(X0,X6)
| rr(X0,X7)
| rr(X0,X8)
| X5 = X6 ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f161,plain,
! [X0] :
( ~ rr(X0,sK6(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f162,plain,
! [X0] :
( cp1(sK6(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f163,plain,
! [X0] :
( ~ rr(X0,sK7(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f105]) ).
fof(f164,plain,
! [X0] :
( cp4(sK7(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f165,plain,
! [X0] :
( ~ sP0(X0)
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f170,plain,
! [X0] :
( ~ rr(X0,sK10(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f172,plain,
! [X0] :
( cp3(sK10(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f173,plain,
! [X0] :
( ~ rr(X0,sK11(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f174,plain,
! [X0] :
( ~ cp2(sK11(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f176,plain,
! [X0] :
( cp2(X0)
| ~ cp1(X0) ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f177,plain,
! [X0] :
( ~ cp4(X0)
| cp2(X0) ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f179,plain,
! [X0] :
( ~ cp3(X0)
| cp2(X0) ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f180,plain,
~ cUnsatisfiable(i2003_11_14_17_19_21224),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f182,plain,
! [X0] :
( cp2(sK7(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f164,f177]) ).
fof(f183,plain,
! [X0] :
( ~ cp3(sK7(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f164,f120]) ).
fof(f184,plain,
! [X0] :
( ~ cp1(sK7(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f164,f114]) ).
fof(f188,plain,
! [X0] :
( cp2(sK10(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f172,f179]) ).
fof(f189,plain,
! [X0] :
( ~ cp1(sK10(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f172,f112]) ).
fof(f190,plain,
! [X0] :
( ~ cp1(sK11(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f174,f176]) ).
fof(f191,plain,
! [X2,X3,X0,X1,X4] :
( cUnsatisfiable(X4)
| X0 = X2
| X1 = X3
| X2 = X3
| X1 = X2
| rr(X4,X0)
| rr(X4,X3)
| rr(X4,X1)
| rr(X4,X2)
| X0 = X3
| X0 = X1 ),
inference(resolution,[],[f156,f165]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( rr(i2003_11_14_17_19_21224,X3)
| X2 = X3
| X1 = X3
| X1 = X2
| rr(i2003_11_14_17_19_21224,X0)
| X0 = X1
| rr(i2003_11_14_17_19_21224,X2)
| rr(i2003_11_14_17_19_21224,X1)
| X0 = X3
| X0 = X2 ),
inference(resolution,[],[f191,f180]) ).
fof(f203,plain,
! [X2,X0,X1] :
( sK11(i2003_11_14_17_19_21224) = X0
| sK11(i2003_11_14_17_19_21224) = X1
| X0 = X1
| rr(i2003_11_14_17_19_21224,X2)
| X1 = X2
| rr(i2003_11_14_17_19_21224,X0)
| rr(i2003_11_14_17_19_21224,X1)
| sK11(i2003_11_14_17_19_21224) = X2
| X0 = X2
| cUnsatisfiable(i2003_11_14_17_19_21224) ),
inference(resolution,[],[f192,f173]) ).
fof(f205,definition,
( spl12_1
<=> cUnsatisfiable(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f207,plain,
( cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl12_2
<=> ! [X2,X0,X1] :
( sK11(i2003_11_14_17_19_21224) = X0
| X0 = X2
| sK11(i2003_11_14_17_19_21224) = X2
| rr(i2003_11_14_17_19_21224,X1)
| rr(i2003_11_14_17_19_21224,X0)
| X1 = X2
| rr(i2003_11_14_17_19_21224,X2)
| X0 = X1
| sK11(i2003_11_14_17_19_21224) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f210,plain,
( ! [X2,X0,X1] :
( rr(i2003_11_14_17_19_21224,X2)
| X0 = X2
| sK11(i2003_11_14_17_19_21224) = X2
| rr(i2003_11_14_17_19_21224,X1)
| rr(i2003_11_14_17_19_21224,X0)
| X1 = X2
| sK11(i2003_11_14_17_19_21224) = X0
| X0 = X1
| sK11(i2003_11_14_17_19_21224) = X1 )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f203,f209,f205]) ).
fof(f266,plain,
( ! [X0,X1] :
( sK10(i2003_11_14_17_19_21224) = X0
| sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,X1)
| rr(i2003_11_14_17_19_21224,X0)
| sK10(i2003_11_14_17_19_21224) = X1
| sK11(i2003_11_14_17_19_21224) = X0
| X0 = X1
| sK11(i2003_11_14_17_19_21224) = X1
| cUnsatisfiable(i2003_11_14_17_19_21224) )
| ~ spl12_2 ),
inference(resolution,[],[f210,f170]) ).
fof(f270,definition,
( spl12_14
<=> sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition]) ).
fof(f272,plain,
( sK10(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl12_15
<=> ! [X0,X1] :
( sK10(i2003_11_14_17_19_21224) = X0
| sK11(i2003_11_14_17_19_21224) = X1
| X0 = X1
| sK11(i2003_11_14_17_19_21224) = X0
| rr(i2003_11_14_17_19_21224,X0)
| rr(i2003_11_14_17_19_21224,X1)
| sK10(i2003_11_14_17_19_21224) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f275,plain,
( ! [X0,X1] :
( rr(i2003_11_14_17_19_21224,X1)
| sK11(i2003_11_14_17_19_21224) = X1
| X0 = X1
| sK11(i2003_11_14_17_19_21224) = X0
| rr(i2003_11_14_17_19_21224,X0)
| sK10(i2003_11_14_17_19_21224) = X0
| sK10(i2003_11_14_17_19_21224) = X1 )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( spl12_1
| spl12_14
| spl12_15
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f266,f209,f274,f270,f205]) ).
fof(f294,definition,
( spl12_20
<=> sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl12_20])],[avatar_definition]) ).
fof(f296,plain,
( sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f302,definition,
( spl12_22
<=> sK6(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl12_22])],[avatar_definition]) ).
fof(f304,plain,
( sK6(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f317,plain,
( $false
| ~ spl12_1 ),
inference(resolution,[],[f207,f180]) ).
fof(f318,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f355,plain,
( ~ cp2(sK7(i2003_11_14_17_19_21224))
| cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ spl12_20 ),
inference(superposition,[],[f174,f296]) ).
fof(f357,definition,
( spl12_29
<=> cp2(sK7(i2003_11_14_17_19_21224)) ),
introduced(definition,[new_symbols(definition,[spl12_29])],[avatar_definition]) ).
fof(f359,plain,
( ~ cp2(sK7(i2003_11_14_17_19_21224))
| spl12_29 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( spl12_1
| ~ spl12_29
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f355,f294,f357,f205]) ).
fof(f366,plain,
( cUnsatisfiable(i2003_11_14_17_19_21224)
| spl12_29 ),
inference(resolution,[],[f359,f182]) ).
fof(f368,plain,
( spl12_1
| spl12_29 ),
inference(avatar_split_clause,[],[f366,f357,f205]) ).
fof(f378,plain,
( ~ cp1(sK6(i2003_11_14_17_19_21224))
| cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ spl12_22 ),
inference(superposition,[],[f190,f304]) ).
fof(f392,definition,
( spl12_33
<=> cp1(sK6(i2003_11_14_17_19_21224)) ),
introduced(definition,[new_symbols(definition,[spl12_33])],[avatar_definition]) ).
fof(f394,plain,
( ~ cp1(sK6(i2003_11_14_17_19_21224))
| spl12_33 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,plain,
( spl12_1
| ~ spl12_33
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f378,f302,f392,f205]) ).
fof(f397,plain,
( cUnsatisfiable(i2003_11_14_17_19_21224)
| spl12_33 ),
inference(resolution,[],[f394,f162]) ).
fof(f398,plain,
( spl12_1
| spl12_33 ),
inference(avatar_split_clause,[],[f397,f392,f205]) ).
fof(f408,plain,
( ! [X0] :
( sK7(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| sK7(i2003_11_14_17_19_21224) = X0
| sK11(i2003_11_14_17_19_21224) = X0
| rr(i2003_11_14_17_19_21224,X0)
| sK10(i2003_11_14_17_19_21224) = X0
| sK7(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| cUnsatisfiable(i2003_11_14_17_19_21224) )
| ~ spl12_15 ),
inference(resolution,[],[f275,f163]) ).
fof(f424,definition,
( spl12_36
<=> sK7(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl12_36])],[avatar_definition]) ).
fof(f426,plain,
( sK7(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f428,definition,
( spl12_37
<=> ! [X0] :
( sK7(i2003_11_14_17_19_21224) = X0
| sK10(i2003_11_14_17_19_21224) = X0
| rr(i2003_11_14_17_19_21224,X0)
| sK11(i2003_11_14_17_19_21224) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl12_37])],[avatar_definition]) ).
fof(f429,plain,
( ! [X0] :
( rr(i2003_11_14_17_19_21224,X0)
| sK10(i2003_11_14_17_19_21224) = X0
| sK7(i2003_11_14_17_19_21224) = X0
| sK11(i2003_11_14_17_19_21224) = X0 )
| ~ spl12_37 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f430,plain,
( spl12_1
| spl12_36
| spl12_37
| spl12_20
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f408,f274,f294,f428,f424,f205]) ).
fof(f432,definition,
( spl12_38
<=> sK6(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl12_38])],[avatar_definition]) ).
fof(f434,plain,
( sK6(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| ~ spl12_38 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f502,plain,
( cp3(sK7(i2003_11_14_17_19_21224))
| cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ spl12_36 ),
inference(superposition,[],[f172,f426]) ).
fof(f505,definition,
( spl12_47
<=> cp3(sK7(i2003_11_14_17_19_21224)) ),
introduced(definition,[new_symbols(definition,[spl12_47])],[avatar_definition]) ).
fof(f507,plain,
( cp3(sK7(i2003_11_14_17_19_21224))
| ~ spl12_47 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f508,plain,
( spl12_1
| spl12_47
| ~ spl12_36 ),
inference(avatar_split_clause,[],[f502,f424,f505,f205]) ).
fof(f509,plain,
( cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ spl12_47 ),
inference(resolution,[],[f507,f183]) ).
fof(f512,plain,
( spl12_1
| ~ spl12_47 ),
inference(avatar_split_clause,[],[f509,f505,f205]) ).
fof(f523,plain,
( ~ cp1(sK6(i2003_11_14_17_19_21224))
| cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ spl12_38 ),
inference(superposition,[],[f189,f434]) ).
fof(f533,plain,
( spl12_1
| ~ spl12_33
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f523,f432,f392,f205]) ).
fof(f643,plain,
( sK6(i2003_11_14_17_19_21224) = sK10(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = sK11(i2003_11_14_17_19_21224)
| cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ spl12_37 ),
inference(resolution,[],[f429,f161]) ).
fof(f655,definition,
( spl12_61
<=> sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl12_61])],[avatar_definition]) ).
fof(f657,plain,
( sK6(i2003_11_14_17_19_21224) = sK7(i2003_11_14_17_19_21224)
| ~ spl12_61 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f658,plain,
( spl12_1
| spl12_22
| spl12_61
| spl12_38
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f643,f428,f432,f655,f302,f205]) ).
fof(f678,plain,
( ~ cp1(sK6(i2003_11_14_17_19_21224))
| cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ spl12_61 ),
inference(superposition,[],[f184,f657]) ).
fof(f687,plain,
( spl12_1
| ~ spl12_33
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f678,f655,f392,f205]) ).
fof(f728,plain,
( ~ cp2(sK10(i2003_11_14_17_19_21224))
| cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ spl12_14 ),
inference(superposition,[],[f174,f272]) ).
fof(f730,definition,
( spl12_69
<=> cp2(sK10(i2003_11_14_17_19_21224)) ),
introduced(definition,[new_symbols(definition,[spl12_69])],[avatar_definition]) ).
fof(f732,plain,
( ~ cp2(sK10(i2003_11_14_17_19_21224))
| spl12_69 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f733,plain,
( spl12_1
| ~ spl12_69
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f728,f270,f730,f205]) ).
fof(f740,plain,
( cUnsatisfiable(i2003_11_14_17_19_21224)
| spl12_69 ),
inference(resolution,[],[f732,f188]) ).
fof(f742,plain,
( spl12_1
| spl12_69 ),
inference(avatar_split_clause,[],[f740,f730,f205]) ).
cnf(s1,plain,
( spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f211]) ).
cnf(s12,plain,
( spl12_1
| ~ spl12_2
| spl12_14
| spl12_15 ),
inference(sat_conversion,[],[f276]) ).
cnf(s18,plain,
~ spl12_1,
inference(sat_conversion,[],[f318]) ).
cnf(s23,plain,
( spl12_1
| ~ spl12_20
| ~ spl12_29 ),
inference(sat_conversion,[],[f360]) ).
cnf(s25,plain,
( spl12_1
| spl12_29 ),
inference(sat_conversion,[],[f368]) ).
cnf(s28,plain,
( spl12_1
| ~ spl12_22
| ~ spl12_33 ),
inference(sat_conversion,[],[f395]) ).
cnf(s29,plain,
( spl12_1
| spl12_33 ),
inference(sat_conversion,[],[f398]) ).
cnf(s32,plain,
( spl12_1
| ~ spl12_15
| spl12_20
| spl12_36
| spl12_37 ),
inference(sat_conversion,[],[f430]) ).
cnf(s40,plain,
( spl12_1
| ~ spl12_36
| spl12_47 ),
inference(sat_conversion,[],[f508]) ).
cnf(s41,plain,
( spl12_1
| ~ spl12_47 ),
inference(sat_conversion,[],[f512]) ).
cnf(s45,plain,
( spl12_1
| ~ spl12_33
| ~ spl12_38 ),
inference(sat_conversion,[],[f533]) ).
cnf(s65,plain,
( spl12_1
| spl12_22
| ~ spl12_37
| spl12_38
| spl12_61 ),
inference(sat_conversion,[],[f658]) ).
cnf(s69,plain,
( spl12_1
| ~ spl12_33
| ~ spl12_61 ),
inference(sat_conversion,[],[f687]) ).
cnf(s74,plain,
( spl12_1
| ~ spl12_14
| ~ spl12_69 ),
inference(sat_conversion,[],[f733]) ).
cnf(s78,plain,
( spl12_1
| spl12_69 ),
inference(sat_conversion,[],[f742]) ).
cnf(s79,plain,
spl12_69,
inference(rat,[],[s78,s18]) ).
cnf(s80,plain,
~ spl12_14,
inference(rat,[],[s74,s79,s18]) ).
cnf(s82,plain,
~ spl12_47,
inference(rat,[],[s41,s18]) ).
cnf(s83,plain,
~ spl12_36,
inference(rat,[],[s40,s82,s18]) ).
cnf(s85,plain,
spl12_33,
inference(rat,[],[s29,s18]) ).
cnf(s86,plain,
~ spl12_22,
inference(rat,[],[s28,s85,s18]) ).
cnf(s87,plain,
spl12_29,
inference(rat,[],[s25,s18]) ).
cnf(s88,plain,
~ spl12_20,
inference(rat,[],[s23,s87,s18]) ).
cnf(s94,plain,
~ spl12_61,
inference(rat,[],[s69,s18,s85]) ).
cnf(s96,plain,
~ spl12_38,
inference(rat,[],[s45,s18,s85]) ).
cnf(s98,plain,
~ spl12_37,
inference(rat,[],[s65,s94,s96,s18,s86]) ).
cnf(s99,plain,
~ spl12_15,
inference(rat,[],[s32,s98,s83,s18,s88]) ).
cnf(s105,plain,
~ spl12_2,
inference(rat,[],[s12,s99,s80,s18]) ).
cnf(s118,plain,
$false,
inference(rat,[],[s1,s105,s18]) ).
fof(f743,plain,
$false,
inference(avatar_sat_refutation,[],[s118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS080+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:23:06 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.48 % (3526788)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (3526794)% WARNING: option uhcvi not known.
% 0.15/0.48 % (3526794)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2397370653:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (3526795)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=90707976:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (3526793)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3741952839_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % (3526797)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1459923450:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (3526796)dis+10_1_sil=32000:sp=arity:random_seed=1333153048:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (3526798)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1651916359:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % (3526799)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=676881815:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % TRYING [3]
% 0.15/0.48 % TRYING [4]
% 0.15/0.48 % TRYING [5]
% 0.15/0.48 % TRYING [6]
% 0.15/0.48 % TRYING [7]
% 0.15/0.48 % TRYING [8]
% 0.15/0.48 % (3526799) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3526788-3526799"...
% 0.15/0.48 % (3526799)...printing done.
% 0.15/0.48 % (3526799)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (3526799)------------------------------
% 0.15/0.48 % (3526799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (3526799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (3526799)CaDiCaL version: 2.1.3
% 0.15/0.48 % (3526799)Termination reason: Refutation
% 0.15/0.48 % (3526799)Time elapsed: 0.020 s
% 0.15/0.48 % (3526799)Peak memory usage: 13 MB
% 0.15/0.48 % (3526799)Instructions burned: 35 (million)
% 0.15/0.48 % (3526788)Success in time 0.06 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------