%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS098+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 : n014.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 11:41:39 AM UTC 2026
% Result : Unsatisfiable 2.81s 1.26s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 71 ( 13 unt; 4 def)
% Number of atoms : 367 ( 55 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 446 ( 150 ~; 142 |; 135 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 204 ( 146 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr3(X0,X1)
& ? [X2] :
( rt3(X1,X2)
& ce(X2) )
& ! [X3,X4] :
( ( rtt(X1,X3)
& rtt(X1,X4) )
=> X3 = X4 ) )
& ? [X1] :
( rr2(X0,X1)
& ! [X3,X4] :
( ( rtt(X1,X3)
& rtt(X1,X4) )
=> X3 = X4 )
& ? [X2] :
( rt2(X1,X2)
& cd(X2) ) )
& ~ ? [X5,X6] :
( rr(X0,X5)
& rr(X0,X6)
& X5 != X6 )
& ? [X1] :
( rr1(X0,X1)
& ! [X3,X4] :
( ( rtt(X1,X3)
& rtt(X1,X4) )
=> X3 = X4 )
& ? [X2] :
( rt1(X1,X2)
& cc(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f30,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f33,axiom,
! [X0] :
~ ( ce(X0)
& cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f35,axiom,
! [X0,X1] :
( rr2(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f37,axiom,
! [X0,X1] :
( rt2(X0,X1)
=> rtt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f38,axiom,
! [X0,X1] :
( rr3(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f39,axiom,
! [X0,X1] :
( rt3(X0,X1)
=> rtt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f40,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr3(X0,X1)
& ? [X2] :
( rt3(X1,X2)
& ce(X2) )
& ! [X3,X4] :
( ( rtt(X1,X3)
& rtt(X1,X4) )
=> X3 = X4 ) )
& ? [X5] :
( rr2(X0,X5)
& ! [X6,X7] :
( ( rtt(X5,X6)
& rtt(X5,X7) )
=> X6 = X7 )
& ? [X8] :
( rt2(X5,X8)
& cd(X8) ) )
& ~ ? [X9,X10] :
( rr(X0,X9)
& rr(X0,X10)
& X9 != X10 )
& ? [X11] :
( rr1(X0,X11)
& ! [X12,X13] :
( ( rtt(X11,X12)
& rtt(X11,X13) )
=> X12 = X13 )
& ? [X14] :
( rt1(X11,X14)
& cc(X14) ) ) ) ),
inference(rectify,[],[f28]) ).
fof(f91,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr3(X0,X1)
& ? [X2] :
( rt3(X1,X2)
& ce(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X3)
| ~ rtt(X1,X4) ) )
& ? [X5] :
( rr2(X0,X5)
& ! [X6,X7] :
( X6 = X7
| ~ rtt(X5,X6)
| ~ rtt(X5,X7) )
& ? [X8] :
( rt2(X5,X8)
& cd(X8) ) )
& ! [X9,X10] :
( ~ rr(X0,X9)
| ~ rr(X0,X10)
| X9 = X10 )
& ? [X11] :
( rr1(X0,X11)
& ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X12)
| ~ rtt(X11,X13) )
& ? [X14] :
( rt1(X11,X14)
& cc(X14) ) ) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f92,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr3(X0,X1)
& ? [X2] :
( rt3(X1,X2)
& ce(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X3)
| ~ rtt(X1,X4) ) )
& ? [X5] :
( rr2(X0,X5)
& ! [X6,X7] :
( X6 = X7
| ~ rtt(X5,X6)
| ~ rtt(X5,X7) )
& ? [X8] :
( rt2(X5,X8)
& cd(X8) ) )
& ! [X9,X10] :
( ~ rr(X0,X9)
| ~ rr(X0,X10)
| X9 = X10 )
& ? [X11] :
( rr1(X0,X11)
& ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X12)
| ~ rtt(X11,X13) )
& ? [X14] :
( rt1(X11,X14)
& cc(X14) ) ) ) ),
inference(flattening,[],[f91]) ).
fof(f95,plain,
! [X0] :
( ~ ce(X0)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f97,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr2(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f99,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt2(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f100,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr3(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f101,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt3(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f102,definition,
! [X0] :
( sP0(X0)
<=> ? [X11] :
( rr1(X0,X11)
& ! [X12,X13] :
( X12 = X13
| ~ rtt(X11,X12)
| ~ rtt(X11,X13) )
& ? [X14] :
( rt1(X11,X14)
& cc(X14) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f103,definition,
! [X0] :
( sP1(X0)
<=> ! [X9,X10] :
( ~ rr(X0,X9)
| ~ rr(X0,X10)
| X9 = X10 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f104,definition,
! [X0] :
( sP2(X0)
<=> ? [X5] :
( rr2(X0,X5)
& ! [X6,X7] :
( X6 = X7
| ~ rtt(X5,X6)
| ~ rtt(X5,X7) )
& ? [X8] :
( rt2(X5,X8)
& cd(X8) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f105,definition,
! [X0] :
( sP3(X0)
<=> ( ? [X1] :
( rr3(X0,X1)
& ? [X2] :
( rt3(X1,X2)
& ce(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X3)
| ~ rtt(X1,X4) ) )
& sP2(X0)
& sP1(X0)
& sP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f106,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP3(X0) ),
inference(definition_folding,[],[f92,f105,f104,f103,f102]) ).
fof(f108,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ~ rr3(X0,X1)
| ! [X2] :
( ~ rt3(X1,X2)
| ~ ce(X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X3)
& rtt(X1,X4) ) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( rr3(X0,X1)
& ? [X2] :
( rt3(X1,X2)
& ce(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X3)
| ~ rtt(X1,X4) ) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f109,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ~ rr3(X0,X1)
| ! [X2] :
( ~ rt3(X1,X2)
| ~ ce(X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X3)
& rtt(X1,X4) ) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( rr3(X0,X1)
& ? [X2] :
( rt3(X1,X2)
& ce(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rtt(X1,X3)
| ~ rtt(X1,X4) ) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ~ rr3(X0,X1)
| ! [X2] :
( ~ rt3(X1,X2)
| ~ ce(X2) )
| ? [X3,X4] :
( X3 != X4
& rtt(X1,X3)
& rtt(X1,X4) ) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ? [X5] :
( rr3(X0,X5)
& ? [X6] :
( rt3(X5,X6)
& ce(X6) )
& ! [X7,X8] :
( X7 = X8
| ~ rtt(X5,X7)
| ~ rtt(X5,X8) ) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ( sP3(X0)
| ! [X1] :
( ~ rr3(X0,X1)
| ! [X2] :
( ~ rt3(X1,X2)
| ~ ce(X2) )
| ( sK4(X1) != sK5(X1)
& rtt(X1,sK4(X1))
& rtt(X1,sK5(X1)) ) )
| ~ sP2(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( rr3(X0,sK6(X0))
& rt3(sK6(X0),sK7(X0))
& ce(sK7(X0))
& ! [X7,X8] :
( X7 = X8
| ~ rtt(sK6(X0),X7)
| ~ rtt(sK6(X0),X8) )
& sP2(X0)
& sP1(X0)
& sP0(X0) )
| ~ sP3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X3,sK4(X1)),skolemize(X4,sK5(X1)),skolemize(X5,sK6(X0)),skolemize(X6,sK7(X0))],[f110]) ).
fof(f112,plain,
! [X0] :
( ( sP2(X0)
| ! [X5] :
( ~ rr2(X0,X5)
| ? [X6,X7] :
( X6 != X7
& rtt(X5,X6)
& rtt(X5,X7) )
| ! [X8] :
( ~ rt2(X5,X8)
| ~ cd(X8) ) ) )
& ( ? [X5] :
( rr2(X0,X5)
& ! [X6,X7] :
( X6 = X7
| ~ rtt(X5,X6)
| ~ rtt(X5,X7) )
& ? [X8] :
( rt2(X5,X8)
& cd(X8) ) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f113,plain,
! [X0] :
( ( sP2(X0)
| ! [X1] :
( ~ rr2(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rtt(X1,X2)
& rtt(X1,X3) )
| ! [X4] :
( ~ rt2(X1,X4)
| ~ cd(X4) ) ) )
& ( ? [X5] :
( rr2(X0,X5)
& ! [X6,X7] :
( X6 = X7
| ~ rtt(X5,X6)
| ~ rtt(X5,X7) )
& ? [X8] :
( rt2(X5,X8)
& cd(X8) ) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( sP2(X0)
| ! [X1] :
( ~ rr2(X0,X1)
| ( sK8(X1) != sK9(X1)
& rtt(X1,sK8(X1))
& rtt(X1,sK9(X1)) )
| ! [X4] :
( ~ rt2(X1,X4)
| ~ cd(X4) ) ) )
& ( ( rr2(X0,sK10(X0))
& ! [X6,X7] :
( X6 = X7
| ~ rtt(sK10(X0),X6)
| ~ rtt(sK10(X0),X7) )
& rt2(sK10(X0),sK11(X0))
& cd(sK11(X0)) )
| ~ sP2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X2,sK8(X1)),skolemize(X3,sK9(X1)),skolemize(X5,sK10(X0)),skolemize(X8,sK11(X0))],[f113]) ).
fof(f115,plain,
! [X0] :
( ( sP1(X0)
| ? [X9,X10] :
( rr(X0,X9)
& rr(X0,X10)
& X9 != X10 ) )
& ( ! [X9,X10] :
( ~ rr(X0,X9)
| ~ rr(X0,X10)
| X9 = X10 )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f116,plain,
! [X0] :
( ( sP1(X0)
| ? [X1,X2] :
( rr(X0,X1)
& rr(X0,X2)
& X1 != X2 ) )
& ( ! [X3,X4] :
( ~ rr(X0,X3)
| ~ rr(X0,X4)
| X3 = X4 )
| ~ sP1(X0) ) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ( sP1(X0)
| ( rr(X0,sK12(X0))
& rr(X0,sK13(X0))
& sK12(X0) != sK13(X0) ) )
& ( ! [X3,X4] :
( ~ rr(X0,X3)
| ~ rr(X0,X4)
| X3 = X4 )
| ~ sP1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f116]) ).
fof(f121,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP3(X0) )
& ( sP3(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f154,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f155,plain,
! [X0] :
( ~ sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f156,plain,
! [X0,X8,X7] :
( ~ sP3(X0)
| ~ rtt(sK6(X0),X7)
| ~ rtt(sK6(X0),X8)
| X7 = X8 ),
inference(cnf_transformation,[],[f111]) ).
fof(f157,plain,
! [X0] :
( ~ sP3(X0)
| ce(sK7(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f158,plain,
! [X0] :
( rt3(sK6(X0),sK7(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f159,plain,
! [X0] :
( rr3(X0,sK6(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f163,plain,
! [X0] :
( ~ sP2(X0)
| cd(sK11(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f164,plain,
! [X0] :
( rt2(sK10(X0),sK11(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f166,plain,
! [X0] :
( rr2(X0,sK10(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f170,plain,
! [X3,X0,X4] :
( ~ sP1(X0)
| ~ rr(X0,X4)
| X3 = X4
| ~ rr(X0,X3) ),
inference(cnf_transformation,[],[f117]) ).
fof(f181,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f186,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(cnf_transformation,[],[f30]) ).
fof(f189,plain,
! [X0] :
( ~ ce(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f191,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr2(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f193,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt2(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f194,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr3(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f195,plain,
! [X0,X1] :
( rtt(X0,X1)
| ~ rt3(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f221,plain,
sP3(i2003_11_14_17_20_25524),
inference(resolution,[],[f181,f186]) ).
fof(f223,plain,
sP2(i2003_11_14_17_20_25524),
inference(resolution,[],[f221,f155]) ).
fof(f224,plain,
sP1(i2003_11_14_17_20_25524),
inference(resolution,[],[f221,f154]) ).
fof(f226,plain,
ce(sK7(i2003_11_14_17_20_25524)),
inference(resolution,[],[f157,f221]) ).
fof(f227,plain,
~ cd(sK7(i2003_11_14_17_20_25524)),
inference(resolution,[],[f226,f189]) ).
fof(f229,plain,
cd(sK11(i2003_11_14_17_20_25524)),
inference(resolution,[],[f163,f223]) ).
fof(f235,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_20_25524,X0)
| X0 = X1
| ~ rr(i2003_11_14_17_20_25524,X1) ),
inference(resolution,[],[f170,f224]) ).
fof(f238,plain,
! [X0,X1] :
( ~ rr3(i2003_11_14_17_20_25524,X0)
| ~ rr(i2003_11_14_17_20_25524,X1)
| X0 = X1 ),
inference(resolution,[],[f235,f194]) ).
fof(f242,plain,
! [X0,X1] :
( ~ rtt(sK6(i2003_11_14_17_20_25524),X0)
| ~ rtt(sK6(i2003_11_14_17_20_25524),X1)
| X0 = X1 ),
inference(resolution,[],[f156,f221]) ).
fof(f243,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_25524,X0)
| sK6(i2003_11_14_17_20_25524) = X0
| ~ sP3(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f238,f159]) ).
fof(f244,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_25524,X0)
| sK6(i2003_11_14_17_20_25524) = X0 ),
inference(forward_subsumption_resolution,[],[f243,f221]) ).
fof(f247,plain,
! [X0] :
( ~ rr2(i2003_11_14_17_20_25524,X0)
| sK6(i2003_11_14_17_20_25524) = X0 ),
inference(resolution,[],[f244,f191]) ).
fof(f251,plain,
( sK6(i2003_11_14_17_20_25524) = sK10(i2003_11_14_17_20_25524)
| ~ sP2(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f247,f166]) ).
fof(f252,plain,
sK6(i2003_11_14_17_20_25524) = sK10(i2003_11_14_17_20_25524),
inference(forward_subsumption_resolution,[],[f251,f223]) ).
fof(f253,plain,
( rt2(sK6(i2003_11_14_17_20_25524),sK11(i2003_11_14_17_20_25524))
| ~ sP2(i2003_11_14_17_20_25524) ),
inference(superposition,[],[f164,f252]) ).
fof(f256,plain,
rt2(sK6(i2003_11_14_17_20_25524),sK11(i2003_11_14_17_20_25524)),
inference(forward_subsumption_resolution,[],[f253,f223]) ).
fof(f277,plain,
! [X0,X1] :
( ~ rt3(sK6(i2003_11_14_17_20_25524),X1)
| X0 = X1
| ~ rtt(sK6(i2003_11_14_17_20_25524),X0) ),
inference(resolution,[],[f242,f195]) ).
fof(f342,plain,
! [X0] :
( sK7(i2003_11_14_17_20_25524) = X0
| ~ rtt(sK6(i2003_11_14_17_20_25524),X0)
| ~ sP3(i2003_11_14_17_20_25524) ),
inference(resolution,[],[f277,f158]) ).
fof(f343,plain,
! [X0] :
( ~ rtt(sK6(i2003_11_14_17_20_25524),X0)
| sK7(i2003_11_14_17_20_25524) = X0 ),
inference(forward_subsumption_resolution,[],[f342,f221]) ).
fof(f345,plain,
! [X0] :
( ~ rt2(sK6(i2003_11_14_17_20_25524),X0)
| sK7(i2003_11_14_17_20_25524) = X0 ),
inference(resolution,[],[f343,f193]) ).
fof(f366,plain,
sK7(i2003_11_14_17_20_25524) = sK11(i2003_11_14_17_20_25524),
inference(resolution,[],[f345,f256]) ).
fof(f371,plain,
cd(sK7(i2003_11_14_17_20_25524)),
inference(superposition,[],[f229,f366]) ).
fof(f374,plain,
$false,
inference(forward_subsumption_resolution,[],[f371,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS098+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:22:47 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.81/1.25 % (817344)Detected formulas, will run a generic FOF schedule.
% 2.81/1.25 % (817353)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=2819727491:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.81/1.25 % (817356)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3103484455:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.81/1.25 % (817355)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=552473672:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.81/1.25 % (817354)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4003105988:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.81/1.25 % (817351)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=1300404737:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.81/1.25 % (817352)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=1358289996:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.81/1.25 % (817357)dis-21_1_sil=8000:lcm=predicate:random_seed=227248503: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)
% 2.81/1.25 % (817355)Refutation not found, incomplete strategy
% 2.81/1.25 % (817355)------------------------------
% 2.81/1.25 % (817355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.25 % (817355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.25 % (817354)Refutation not found, incomplete strategy
% 2.81/1.25 % (817354)------------------------------
% 2.81/1.25 % (817354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.25 % (817355)CaDiCaL version: 2.1.3
% 2.81/1.25 % (817355)Termination reason: Refutation not found, incomplete strategy
% 2.81/1.25 % (817355)Time elapsed: 0.0000 s
% 2.81/1.25 % (817354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.25 % (817355)Peak memory usage: 86 MB
% 2.81/1.25 % (817354)CaDiCaL version: 2.1.3
% 2.81/1.25 % (817354)Termination reason: Refutation not found, incomplete strategy
% 2.81/1.25 % (817354)Time elapsed: 0.0000 s
% 2.81/1.25 % (817354)Peak memory usage: 86 MB
% 2.81/1.25 % (817356)First to succeed.
% 2.81/1.25 % (817356)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-817344"
% 2.81/1.25 % (817357)Instruction limit reached!
% 2.81/1.25 % (817357)------------------------------
% 2.81/1.25 % (817357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.25 % (817357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.25 % (817357)CaDiCaL version: 2.1.3
% 2.81/1.25 % (817357)Termination reason: Instruction limit
% 2.81/1.25 % (817357)Termination phase: Saturation
% 2.81/1.25 % (817357)Time elapsed: 0.066 s
% 2.81/1.25 % (817357)Peak memory usage: 88 MB
% 2.81/1.25 % (817357)Instructions burned: 130 (million)
% 2.81/1.25 % (817365)lrs+10_1_sil=8000:sp=occurrence:random_seed=777668395:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.81/1.25 % (817365)Refutation not found, incomplete strategy
% 2.81/1.26 % (817365)------------------------------
% 2.81/1.26 % (817365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.26 % (817365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.26 % (817365)CaDiCaL version: 2.1.3
% 2.81/1.26 % (817365)Termination reason: Refutation not found, incomplete strategy
% 2.81/1.26 % (817365)Time elapsed: 0.0000 s
% 2.81/1.26 % (817365)Peak memory usage: 86 MB
% 2.81/1.26 % (817354)------------------------------
% 2.81/1.26 % (817354)------------------------------
% 2.81/1.26 % (817355)------------------------------
% 2.81/1.26 % (817355)------------------------------
% 2.81/1.26 % (817356)Refutation found. Thanks to Tanya!
% 2.81/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.81/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/1.35 % (817356)------------------------------
% 3.42/1.35 % (817356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.35 % (817356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.35 % (817356)CaDiCaL version: 2.1.3
% 3.42/1.35 % (817356)Termination reason: Refutation
% 3.42/1.35 % (817356)Time elapsed: 0.009 s
% 3.42/1.35 % (817356)Peak memory usage: 89 MB
% 3.42/1.35 % (817356)Instructions burned: 11 (million)
% 3.42/1.35 % (817356)------------------------------
% 3.42/1.35 % (817356)------------------------------
% 3.42/1.35 % (817344)Success in time 0.415 s
% 3.42/1.35 % Vampire exiting
%------------------------------------------------------------------------------