TSTP Solution File: KRS113+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS113+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 23:22:01 EDT 2024
% Result : Unsatisfiable 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 15 unt; 0 def)
% Number of atoms : 264 ( 15 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 291 ( 95 ~; 85 |; 83 &)
% ( 16 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 139 ( 102 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f266,plain,
$false,
inference(subsumption_resolution,[],[f260,f208]) ).
fof(f208,plain,
~ ca_Vx2(sK6(i2003_11_14_17_21_22376)),
inference(unit_resulting_resolution,[],[f172,f196,f102]) ).
fof(f102,plain,
! [X2,X0] :
( ~ rinvS(X0,X2)
| cp(X2)
| ~ ca_Vx2(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ca_Vx2(X0)
| ( ~ cp(sK1(X0))
& rinvS(X0,sK1(X0)) ) )
& ( ! [X2] :
( cp(X2)
| ~ rinvS(X0,X2) )
| ~ ca_Vx2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f75,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( ~ cp(X1)
& rinvS(X0,X1) )
=> ( ~ cp(sK1(X0))
& rinvS(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ( ca_Vx2(X0)
| ? [X1] :
( ~ cp(X1)
& rinvS(X0,X1) ) )
& ( ! [X2] :
( cp(X2)
| ~ rinvS(X0,X2) )
| ~ ca_Vx2(X0) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ca_Vx2(X0)
| ? [X1] :
( ~ cp(X1)
& rinvS(X0,X1) ) )
& ( ! [X1] :
( cp(X1)
| ~ rinvS(X0,X1) )
| ~ ca_Vx2(X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ca_Vx2(X0)
<=> ! [X1] :
( cp(X1)
| ~ rinvS(X0,X1) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ca_Vx2(X0)
<=> ! [X1] :
( rinvS(X0,X1)
=> cp(X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( ca_Vx2(X3)
<=> ! [X6] :
( rinvS(X3,X6)
=> cp(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f196,plain,
rinvS(sK6(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376),
inference(unit_resulting_resolution,[],[f191,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( rinvS(X0,X1)
| ~ rs(X1,X0) )
& ( rs(X1,X0)
| ~ rinvS(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( rinvS(X0,X1)
<=> rs(X1,X0) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3,X6] :
( rinvS(X3,X6)
<=> rs(X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f191,plain,
rs(i2003_11_14_17_21_22376,sK6(i2003_11_14_17_21_22376)),
inference(unit_resulting_resolution,[],[f97,f116]) ).
fof(f116,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cpxcomp(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| ! [X2] :
( ~ ca_Vx2(X2)
| ~ rr(X0,X2) )
| ~ sP0(X0) )
& ( ( cpxcomp(X0)
& cp(sK6(X0))
& rs(X0,sK6(X0))
& ca_Vx2(sK7(X0))
& rr(X0,sK7(X0))
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f92,f94,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X3] :
( cp(X3)
& rs(X0,X3) )
=> ( cp(sK6(X0))
& rs(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ? [X4] :
( ca_Vx2(X4)
& rr(X0,X4) )
=> ( ca_Vx2(sK7(X0))
& rr(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cpxcomp(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| ! [X2] :
( ~ ca_Vx2(X2)
| ~ rr(X0,X2) )
| ~ sP0(X0) )
& ( ( cpxcomp(X0)
& ? [X3] :
( cp(X3)
& rs(X0,X3) )
& ? [X4] :
( ca_Vx2(X4)
& rr(X0,X4) )
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cpxcomp(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| ! [X2] :
( ~ ca_Vx2(X2)
| ~ rr(X0,X2) )
| ~ sP0(X0) )
& ( ( cpxcomp(X0)
& ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ? [X2] :
( ca_Vx2(X2)
& rr(X0,X2) )
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cpxcomp(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| ! [X2] :
( ~ ca_Vx2(X2)
| ~ rr(X0,X2) )
| ~ sP0(X0) )
& ( ( cpxcomp(X0)
& ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ? [X2] :
( ca_Vx2(X2)
& rr(X0,X2) )
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cpxcomp(X0)
& ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ? [X2] :
( ca_Vx2(X2)
& rr(X0,X2) )
& sP0(X0) ) ),
inference(definition_folding,[],[f37,f71]) ).
fof(f71,plain,
! [X0] :
( sP0(X0)
<=> ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f37,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cpxcomp(X0)
& ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ? [X2] :
( ca_Vx2(X2)
& rr(X0,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) ) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cpxcomp(X0)
& ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ? [X2] :
( ca_Vx2(X2)
& rr(X0,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cpxcomp(X0)
& ? [X1] :
( cp(X1)
& rs(X0,X1) )
& ? [X2] :
( ca_Vx2(X2)
& rr(X0,X2) )
& ! [X3,X4] :
( ( rr(X0,X4)
& rr(X0,X3) )
=> X3 = X4 ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( cpxcomp(X3)
& ? [X6] :
( cp(X6)
& rs(X3,X6) )
& ? [X6] :
( ca_Vx2(X6)
& rr(X3,X6) )
& ! [X4,X5] :
( ( rr(X3,X5)
& rr(X3,X4) )
=> X4 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f97,plain,
cUnsatisfiable(i2003_11_14_17_21_22376),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_21_22376),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f172,plain,
~ cp(i2003_11_14_17_21_22376),
inference(unit_resulting_resolution,[],[f167,f107]) ).
fof(f107,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK3(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f83,f84]) ).
fof(f84,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] :
( cp(X3)
<=> ~ ? [X6] : ra_Px1(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f167,plain,
ra_Px1(i2003_11_14_17_21_22376,sK2(i2003_11_14_17_21_22376)),
inference(unit_resulting_resolution,[],[f160,f105]) ).
fof(f105,plain,
! [X0] :
( ~ cpxcomp(X0)
| ra_Px1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK2(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f79,f80]) ).
fof(f80,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( cpxcomp(X3)
<=> ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f160,plain,
cpxcomp(i2003_11_14_17_21_22376),
inference(unit_resulting_resolution,[],[f97,f118]) ).
fof(f118,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f260,plain,
ca_Vx2(sK6(i2003_11_14_17_21_22376)),
inference(superposition,[],[f162,f250]) ).
fof(f250,plain,
sK7(i2003_11_14_17_21_22376) = sK6(i2003_11_14_17_21_22376),
inference(unit_resulting_resolution,[],[f158,f189,f193,f109]) ).
fof(f109,plain,
! [X3,X0,X4] :
( ~ rr(X0,X4)
| X3 = X4
| ~ rr(X0,X3)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( sP0(X0)
| ( sK4(X0) != sK5(X0)
& rr(X0,sK5(X0))
& rr(X0,sK4(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f87,f88]) ).
fof(f88,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK4(X0) != sK5(X0)
& rr(X0,sK5(X0))
& rr(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( sP0(X0)
| ? [X3,X4] :
( X3 != X4
& rr(X0,X4)
& rr(X0,X3) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f193,plain,
rr(i2003_11_14_17_21_22376,sK6(i2003_11_14_17_21_22376)),
inference(unit_resulting_resolution,[],[f191,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( rs(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3,X6] :
( rs(X3,X6)
=> rr(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f189,plain,
rr(i2003_11_14_17_21_22376,sK7(i2003_11_14_17_21_22376)),
inference(unit_resulting_resolution,[],[f97,f114]) ).
fof(f114,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f158,plain,
sP0(i2003_11_14_17_21_22376),
inference(unit_resulting_resolution,[],[f97,f113]) ).
fof(f113,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f162,plain,
ca_Vx2(sK7(i2003_11_14_17_21_22376)),
inference(unit_resulting_resolution,[],[f97,f115]) ).
fof(f115,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Vx2(sK7(X0)) ),
inference(cnf_transformation,[],[f95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : KRS113+1 : TPTP v8.2.0. Released v3.1.0.
% 0.04/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n012.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 22:11:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (17359)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (17362)WARNING: value z3 for option sas not known
% 0.21/0.39 % (17360)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (17363)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (17365)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.39 % (17361)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (17362)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (17364)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.39 % (17366)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 % (17366)First to succeed.
% 0.21/0.39 TRYING [1]
% 0.21/0.40 % (17365)Also succeeded, but the first one will report.
% 0.21/0.40 % (17362)Also succeeded, but the first one will report.
% 0.21/0.40 % (17364)Also succeeded, but the first one will report.
% 0.21/0.40 TRYING [2]
% 0.21/0.40 % (17366)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17359"
% 0.21/0.40 TRYING [5]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [5]
% 0.21/0.40 % (17366)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (17366)------------------------------
% 0.21/0.40 % (17366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (17366)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (17366)Memory used [KB]: 911
% 0.21/0.40 % (17366)Time elapsed: 0.007 s
% 0.21/0.40 % (17366)Instructions burned: 8 (million)
% 0.21/0.40 % (17359)Success in time 0.022 s
%------------------------------------------------------------------------------