%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS080+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 : n026.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 4.80s 1.68s
% Output : Refutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 110 ( 20 unt; 10 def)
% Number of atoms : 630 ( 152 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 780 ( 260 ~; 302 |; 198 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 188 ( 0 sgn 123 !; 65 ?)
% 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/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(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox2/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)
<=> ? [X11] :
( rr(X0,X11)
& cp2(X11)
& cp(X11) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f56,definition,
! [X0] :
( sP1(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) )
& sP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f57,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP1(X0) ),
inference(definition_folding,[],[f50,f56,f55]) ).
fof(f59,plain,
! [X0] :
( ( sP1(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) )
| ~ sP0(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) )
& sP0(X0) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f60,plain,
! [X0] :
( ( sP1(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) )
| ~ sP0(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) )
& sP0(X0) )
| ~ sP1(X0) ) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ( sP1(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) )
| ~ sP0(X0) )
& ( ( ? [X11] :
( rr(X0,X11)
& cp(X11)
& cp1(X11) )
& ? [X12] :
( rr(X0,X12)
& cp1(X12) )
& ? [X13] :
( rr(X0,X13)
& cp4(X13) )
& ! [X14,X15,X16,X17] :
( X14 = X15
| X14 = X16
| X14 = X17
| X15 = X16
| X15 = X17
| X16 = X17
| ~ rr(X0,X14)
| ~ rr(X0,X15)
| ~ rr(X0,X16)
| ~ rr(X0,X17) )
& ? [X18] :
( rr(X0,X18)
& cp2(X18) )
& ? [X19] :
( rr(X0,X19)
& cp3(X19) )
& ? [X20] :
( rr(X0,X20)
& cp(X20)
& cp3(X20) )
& sP0(X0) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cp(X1)
| ~ cp1(X1) )
| ! [X2] :
( ~ rr(X0,X2)
| ~ cp1(X2) )
| ! [X3] :
( ~ rr(X0,X3)
| ~ cp4(X3) )
| ( sK2(X0) != sK3(X0)
& sK2(X0) != sK4(X0)
& sK2(X0) != sK5(X0)
& sK3(X0) != sK4(X0)
& sK3(X0) != sK5(X0)
& sK4(X0) != sK5(X0)
& rr(X0,sK2(X0))
& rr(X0,sK3(X0))
& rr(X0,sK4(X0))
& rr(X0,sK5(X0)) )
| ! [X8] :
( ~ rr(X0,X8)
| ~ cp2(X8) )
| ! [X9] :
( ~ rr(X0,X9)
| ~ cp3(X9) )
| ! [X10] :
( ~ rr(X0,X10)
| ~ cp(X10)
| ~ cp3(X10) )
| ~ sP0(X0) )
& ( ( rr(X0,sK6(X0))
& cp(sK6(X0))
& cp1(sK6(X0))
& rr(X0,sK7(X0))
& cp1(sK7(X0))
& rr(X0,sK8(X0))
& cp4(sK8(X0))
& ! [X14,X15,X16,X17] :
( X14 = X15
| X14 = X16
| X14 = X17
| X15 = X16
| X15 = X17
| X16 = X17
| ~ rr(X0,X14)
| ~ rr(X0,X15)
| ~ rr(X0,X16)
| ~ rr(X0,X17) )
& rr(X0,sK9(X0))
& cp2(sK9(X0))
& rr(X0,sK10(X0))
& cp3(sK10(X0))
& rr(X0,sK11(X0))
& cp(sK11(X0))
& cp3(sK11(X0))
& sP0(X0) )
| ~ sP1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X4,sK2(X0)),skolemize(X5,sK3(X0)),skolemize(X6,sK4(X0)),skolemize(X7,sK5(X0)),skolemize(X11,sK6(X0)),skolemize(X12,sK7(X0)),skolemize(X13,sK8(X0)),skolemize(X18,sK9(X0)),skolemize(X19,sK10(X0)),skolemize(X20,sK11(X0))],[f61]) ).
fof(f66,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP1(X0) )
& ( sP1(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f85,plain,
! [X0] :
( cp3(sK11(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f87,plain,
! [X0] :
( rr(X0,sK11(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f90,plain,
! [X0] :
( cp2(sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f91,plain,
! [X0] :
( rr(X0,sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f92,plain,
! [X0,X16,X14,X17,X15] :
( ~ sP1(X0)
| X14 = X16
| X14 = X17
| X15 = X16
| X15 = X17
| X16 = X17
| ~ rr(X0,X14)
| ~ rr(X0,X15)
| ~ rr(X0,X16)
| ~ rr(X0,X17)
| X14 = X15 ),
inference(cnf_transformation,[],[f62]) ).
fof(f93,plain,
! [X0] :
( cp4(sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f94,plain,
! [X0] :
( rr(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f97,plain,
! [X0] :
( cp1(sK6(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f99,plain,
! [X0] :
( ~ sP1(X0)
| rr(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f114,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f116,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f118,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f119,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f120,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f122,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f124,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f126,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(cnf_transformation,[],[f21]) ).
fof(f140,plain,
! [X0] :
( ~ cp1(sK11(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f116,f85]) ).
fof(f142,plain,
! [X0] :
( ~ cp1(sK9(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f119,f90]) ).
fof(f143,plain,
! [X0] :
( ~ cp1(sK8(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f118,f93]) ).
fof(f144,plain,
! [X0] :
( ~ cp3(sK9(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f120,f90]) ).
fof(f145,plain,
! [X0] :
( ~ cp3(sK8(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f124,f93]) ).
fof(f146,plain,
! [X0] :
( ~ cp2(sK8(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f122,f93]) ).
fof(f147,plain,
sP1(i2003_11_14_17_19_21224),
inference(resolution,[],[f126,f114]) ).
fof(f148,plain,
rr(i2003_11_14_17_19_21224,sK6(i2003_11_14_17_19_21224)),
inference(resolution,[],[f147,f99]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( ~ rr(i2003_11_14_17_19_21224,X2)
| X0 = X2
| X1 = X3
| X2 = X3
| X1 = X2
| ~ rr(i2003_11_14_17_19_21224,X0)
| ~ rr(i2003_11_14_17_19_21224,X3)
| ~ rr(i2003_11_14_17_19_21224,X1)
| X0 = X1
| X0 = X3 ),
inference(resolution,[],[f92,f147]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ rr(i2003_11_14_17_19_21224,X1)
| X1 = X2
| sK6(i2003_11_14_17_19_21224) = X2
| sK6(i2003_11_14_17_19_21224) = X1
| ~ rr(i2003_11_14_17_19_21224,X0)
| ~ rr(i2003_11_14_17_19_21224,X2)
| sK6(i2003_11_14_17_19_21224) = X0
| X0 = X1
| X0 = X2 ),
inference(resolution,[],[f153,f148]) ).
fof(f167,plain,
! [X0,X1] :
( sK8(i2003_11_14_17_19_21224) = X0
| sK6(i2003_11_14_17_19_21224) = X0
| sK8(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0)
| sK6(i2003_11_14_17_19_21224) = X1
| sK8(i2003_11_14_17_19_21224) = X1
| X0 = X1
| ~ sP1(i2003_11_14_17_19_21224) ),
inference(resolution,[],[f154,f94]) ).
fof(f175,plain,
! [X0,X1] :
( sK8(i2003_11_14_17_19_21224) = X0
| sK6(i2003_11_14_17_19_21224) = X0
| sK8(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X0)
| sK6(i2003_11_14_17_19_21224) = X1
| sK8(i2003_11_14_17_19_21224) = X1
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f167,f147]) ).
fof(f178,definition,
( spl13_1
<=> sK11(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f179,plain,
( sK11(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f192,definition,
( spl13_5
<=> sK9(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f193,plain,
( sK9(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f199,definition,
( spl13_7
<=> sK8(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f200,plain,
( sK8(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,definition,
( spl13_8
<=> ! [X0,X1] :
( sK8(i2003_11_14_17_19_21224) = X0
| X0 = X1
| ~ rr(i2003_11_14_17_19_21224,X0)
| ~ rr(i2003_11_14_17_19_21224,X1)
| sK8(i2003_11_14_17_19_21224) = X1
| sK6(i2003_11_14_17_19_21224) = X1
| sK6(i2003_11_14_17_19_21224) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
fof(f203,plain,
( ! [X0,X1] :
( ~ rr(i2003_11_14_17_19_21224,X1)
| X0 = X1
| ~ rr(i2003_11_14_17_19_21224,X0)
| sK8(i2003_11_14_17_19_21224) = X0
| sK8(i2003_11_14_17_19_21224) = X1
| sK6(i2003_11_14_17_19_21224) = X1
| sK6(i2003_11_14_17_19_21224) = X0 )
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f175,f202,f199]) ).
fof(f214,plain,
( ~ cp1(sK6(i2003_11_14_17_19_21224))
| ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_7 ),
inference(superposition,[],[f143,f200]) ).
fof(f219,plain,
( ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_7 ),
inference(forward_subsumption_resolution,[],[f214,f97]) ).
fof(f221,plain,
( $false
| ~ spl13_7 ),
inference(forward_subsumption_resolution,[],[f219,f147]) ).
fof(f222,plain,
~ spl13_7,
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f223,plain,
( ~ cp1(sK6(i2003_11_14_17_19_21224))
| ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_5 ),
inference(superposition,[],[f142,f193]) ).
fof(f229,plain,
( ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f223,f97]) ).
fof(f230,plain,
( $false
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f229,f147]) ).
fof(f231,plain,
~ spl13_5,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f244,plain,
( ! [X0] :
( sK9(i2003_11_14_17_19_21224) = X0
| ~ rr(i2003_11_14_17_19_21224,X0)
| sK8(i2003_11_14_17_19_21224) = X0
| sK9(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK9(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = X0
| ~ sP1(i2003_11_14_17_19_21224) )
| ~ spl13_8 ),
inference(resolution,[],[f203,f91]) ).
fof(f251,plain,
( ! [X0] :
( sK9(i2003_11_14_17_19_21224) = X0
| ~ rr(i2003_11_14_17_19_21224,X0)
| sK8(i2003_11_14_17_19_21224) = X0
| sK9(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK9(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK6(i2003_11_14_17_19_21224) = X0 )
| ~ spl13_8 ),
inference(forward_subsumption_resolution,[],[f244,f147]) ).
fof(f253,definition,
( spl13_11
<=> sK11(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).
fof(f254,plain,
( sK11(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f267,definition,
( spl13_15
<=> sK9(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl13_15])],[avatar_definition]) ).
fof(f268,plain,
( sK9(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,definition,
( spl13_16
<=> ! [X0] :
( sK9(i2003_11_14_17_19_21224) = X0
| sK6(i2003_11_14_17_19_21224) = X0
| sK8(i2003_11_14_17_19_21224) = X0
| ~ rr(i2003_11_14_17_19_21224,X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
fof(f271,plain,
( ! [X0] :
( ~ rr(i2003_11_14_17_19_21224,X0)
| sK6(i2003_11_14_17_19_21224) = X0
| sK8(i2003_11_14_17_19_21224) = X0
| sK9(i2003_11_14_17_19_21224) = X0 )
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( spl13_5
| spl13_15
| spl13_16
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f251,f202,f270,f267,f192]) ).
fof(f275,plain,
( ~ cp1(sK6(i2003_11_14_17_19_21224))
| ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_1 ),
inference(superposition,[],[f140,f179]) ).
fof(f278,plain,
( ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f275,f97]) ).
fof(f279,plain,
( $false
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f278,f147]) ).
fof(f280,plain,
~ spl13_1,
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f284,plain,
( cp2(sK8(i2003_11_14_17_19_21224))
| ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_15 ),
inference(superposition,[],[f90,f268]) ).
fof(f285,plain,
( ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f284,f146]) ).
fof(f286,plain,
( $false
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f285,f147]) ).
fof(f287,plain,
~ spl13_15,
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f292,plain,
( ~ cp3(sK11(i2003_11_14_17_19_21224))
| ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_11 ),
inference(superposition,[],[f145,f254]) ).
fof(f295,plain,
( ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f292,f85]) ).
fof(f297,plain,
( $false
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f295,f147]) ).
fof(f298,plain,
~ spl13_11,
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f310,plain,
( sK11(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK11(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK11(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_16 ),
inference(resolution,[],[f271,f87]) ).
fof(f311,plain,
( sK11(i2003_11_14_17_19_21224) = sK6(i2003_11_14_17_19_21224)
| sK11(i2003_11_14_17_19_21224) = sK8(i2003_11_14_17_19_21224)
| sK11(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| ~ spl13_16 ),
inference(forward_subsumption_resolution,[],[f310,f147]) ).
fof(f314,definition,
( spl13_17
<=> sK11(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224) ),
introduced(definition,[new_symbols(definition,[spl13_17])],[avatar_definition]) ).
fof(f315,plain,
( sK11(i2003_11_14_17_19_21224) = sK9(i2003_11_14_17_19_21224)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f316,plain,
( spl13_17
| spl13_11
| spl13_1
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f311,f270,f178,f253,f314]) ).
fof(f324,plain,
( ~ cp3(sK11(i2003_11_14_17_19_21224))
| ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_17 ),
inference(superposition,[],[f144,f315]) ).
fof(f327,plain,
( ~ sP1(i2003_11_14_17_19_21224)
| ~ spl13_17 ),
inference(forward_subsumption_resolution,[],[f324,f85]) ).
fof(f328,plain,
( $false
| ~ spl13_17 ),
inference(forward_subsumption_resolution,[],[f327,f147]) ).
fof(f329,plain,
~ spl13_17,
inference(avatar_contradiction_clause,[],[f328]) ).
cnf(s4,plain,
( spl13_7
| spl13_8 ),
inference(sat_conversion,[],[f204]) ).
cnf(s6,plain,
~ spl13_7,
inference(sat_conversion,[],[f222]) ).
cnf(s7,plain,
~ spl13_5,
inference(sat_conversion,[],[f231]) ).
cnf(s11,plain,
( spl13_5
| ~ spl13_8
| spl13_15
| spl13_16 ),
inference(sat_conversion,[],[f272]) ).
cnf(s12,plain,
~ spl13_1,
inference(sat_conversion,[],[f280]) ).
cnf(s13,plain,
~ spl13_15,
inference(sat_conversion,[],[f287]) ).
cnf(s14,plain,
~ spl13_11,
inference(sat_conversion,[],[f298]) ).
cnf(s16,plain,
( spl13_1
| spl13_11
| ~ spl13_16
| spl13_17 ),
inference(sat_conversion,[],[f316]) ).
cnf(s18,plain,
~ spl13_17,
inference(sat_conversion,[],[f329]) ).
cnf(s19,plain,
( spl13_1
| spl13_11
| ~ spl13_16 ),
inference(rat,[],[s16,s18]) ).
cnf(s20,plain,
~ spl13_16,
inference(rat,[],[s19,s14,s12]) ).
cnf(s21,plain,
( spl13_5
| ~ spl13_8 ),
inference(rat,[],[s11,s20,s13]) ).
cnf(s24,plain,
~ spl13_8,
inference(rat,[],[s21,s7]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s4,s24,s6]) ).
fof(f330,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n026.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:24:16 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 4.80/1.68 % (2850657)Detected formulas, will run a generic FOF schedule.
% 4.80/1.68 % (2850663)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=1690254584:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.80/1.68 % (2850666)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=216979549:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.80/1.68 % (2850662)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=2679688728:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.80/1.68 % (2850665)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3777323708:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.80/1.68 % (2850667)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3375160529:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.80/1.68 % (2850664)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=3234228719:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.80/1.68 % (2850668)dis-21_1_sil=8000:lcm=predicate:random_seed=806730293: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)
% 4.80/1.68 % (2850666)Refutation not found, incomplete strategy
% 4.80/1.68 % (2850666)------------------------------
% 4.80/1.68 % (2850666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850666)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850665)Refutation not found, incomplete strategy
% 4.80/1.68 % (2850665)------------------------------
% 4.80/1.68 % (2850665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850666)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.68 % (2850666)Time elapsed: 0.0000 s
% 4.80/1.68 % (2850666)Peak memory usage: 86 MB
% 4.80/1.68 % (2850665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850665)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850665)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.68 % (2850665)Time elapsed: 0.0000 s
% 4.80/1.68 % (2850665)Peak memory usage: 86 MB
% 4.80/1.68 % (2850668)Refutation not found, incomplete strategy
% 4.80/1.68 % (2850668)------------------------------
% 4.80/1.68 % (2850668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850668)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850668)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.68 % (2850668)Time elapsed: 0.007 s
% 4.80/1.68 % (2850668)Peak memory usage: 88 MB
% 4.80/1.68 % (2850668)Instructions burned: 11 (million)
% 4.80/1.68 % (2850667)Instruction limit reached!
% 4.80/1.68 % (2850667)------------------------------
% 4.80/1.68 % (2850667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850667)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850667)Termination reason: Instruction limit
% 4.80/1.68 % (2850667)Termination phase: Saturation
% 4.80/1.68 % (2850667)Time elapsed: 0.060 s
% 4.80/1.68 % (2850667)Peak memory usage: 88 MB
% 4.80/1.68 % (2850667)Instructions burned: 140 (million)
% 4.80/1.68 % (2850676)lrs+10_1_sil=8000:sp=occurrence:random_seed=1520976961:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.80/1.68 % (2850676)Refutation not found, incomplete strategy
% 4.80/1.68 % (2850676)------------------------------
% 4.80/1.68 % (2850676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850676)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850676)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.68 % (2850676)Time elapsed: 0.001 s
% 4.80/1.68 % (2850676)Peak memory usage: 86 MB
% 4.80/1.68 % (2850668)------------------------------
% 4.80/1.68 % (2850668)------------------------------
% 4.80/1.68 % (2850666)------------------------------
% 4.80/1.68 % (2850666)------------------------------
% 4.80/1.68 % (2850665)------------------------------
% 4.80/1.68 % (2850665)------------------------------
% 4.80/1.68 % (2850663)First to succeed.
% 4.80/1.68 % (2850663)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2850657"
% 4.80/1.68 % (2850680)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=948395396:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.80/1.68 % (2850678)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3365118726:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 4.80/1.68 % (2850679)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4282245436:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.80/1.68 % (2850679)Refutation not found, incomplete strategy
% 4.80/1.68 % (2850679)------------------------------
% 4.80/1.68 % (2850679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850679)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850678)Refutation not found, incomplete strategy
% 4.80/1.68 % (2850678)------------------------------
% 4.80/1.68 % (2850678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850679)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.68 % (2850679)Time elapsed: 0.001 s
% 4.80/1.68 % (2850679)Peak memory usage: 86 MB
% 4.80/1.68 % (2850678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850678)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850678)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.68 % (2850678)Time elapsed: 0.001 s
% 4.80/1.68 % (2850678)Peak memory usage: 86 MB
% 4.80/1.68 % (2850680)Instruction limit reached!
% 4.80/1.68 % (2850680)------------------------------
% 4.80/1.68 % (2850680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850680)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850680)Termination reason: Instruction limit
% 4.80/1.68 % (2850680)Termination phase: Saturation
% 4.80/1.68 % (2850680)Time elapsed: 0.055 s
% 4.80/1.68 % (2850680)Peak memory usage: 88 MB
% 4.80/1.68 % (2850680)Instructions burned: 250 (million)
% 4.80/1.68 % (2850676)------------------------------
% 4.80/1.68 % (2850676)------------------------------
% 4.80/1.68 % (2850684)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4202752747:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 4.80/1.68 % (2850684)Refutation not found, incomplete strategy
% 4.80/1.68 % (2850684)------------------------------
% 4.80/1.68 % (2850684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850684)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850684)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.68 % (2850684)Time elapsed: 0.0000 s
% 4.80/1.68 % (2850684)Peak memory usage: 86 MB
% 4.80/1.68 % (2850664)Refutation not found, incomplete strategy
% 4.80/1.68 % (2850664)------------------------------
% 4.80/1.68 % (2850664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.68 % (2850664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.68 % (2850664)CaDiCaL version: 2.1.3
% 4.80/1.68 % (2850664)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.68 % (2850664)Time elapsed: 0.572 s
% 4.80/1.68 % (2850664)Peak memory usage: 128 MB
% 4.80/1.68 % (2850664)Instructions burned: 841 (million)
% 4.80/1.68 % (2850663)Refutation found. Thanks to Tanya!
% 4.80/1.68 % SZS status Unsatisfiable for theBenchmark
% 4.80/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 6.23/1.87 % (2850663)------------------------------
% 6.23/1.87 % (2850663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.87 % (2850663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.87 % (2850663)CaDiCaL version: 2.1.3
% 6.23/1.87 % (2850663)Termination reason: Refutation
% 6.23/1.87 % (2850663)Time elapsed: 0.415 s
% 6.23/1.87 % (2850663)Peak memory usage: 129 MB
% 6.23/1.87 % (2850663)Instructions burned: 948 (million)
% 6.23/1.87 % (2850663)------------------------------
% 6.23/1.87 % (2850663)------------------------------
% 6.23/1.87 % (2850657)Success in time 0.803 s
% 6.23/1.87 % Vampire exiting
%------------------------------------------------------------------------------