TSTP Solution File: KRS072+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS072+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 : n022.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 23:21:52 EDT 2024
% Result : Unsatisfiable 0.14s 0.31s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 200 ( 15 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 231 ( 78 ~; 65 |; 73 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 90 ( 64 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(subsumption_resolution,[],[f191,f149]) ).
fof(f149,plain,
~ cp1(i2003_11_14_17_18_50190),
inference(unit_resulting_resolution,[],[f148,f93]) ).
fof(f93,plain,
! [X0] :
( ~ cp1(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( sP0(X0)
| ~ cp1(X0) ),
inference(definition_folding,[],[f32,f66]) ).
fof(f66,plain,
! [X0] :
( ( ~ cp5(X0)
& ~ cp4(X0)
& ~ cp2(X0)
& ~ cp3(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f32,plain,
! [X0] :
( ( ~ cp5(X0)
& ~ cp4(X0)
& ~ cp2(X0)
& ~ cp3(X0) )
| ~ cp1(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( cp1(X0)
=> ~ ( cp5(X0)
| cp4(X0)
| cp2(X0)
| cp3(X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cp1(X3)
=> ~ ( cp5(X3)
| cp4(X3)
| cp2(X3)
| cp3(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f148,plain,
~ sP0(i2003_11_14_17_18_50190),
inference(unit_resulting_resolution,[],[f146,f90]) ).
fof(f90,plain,
! [X0] :
( ~ sP0(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( ~ cp5(X0)
& ~ cp4(X0)
& ~ cp2(X0)
& ~ cp3(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f66]) ).
fof(f146,plain,
cp2(i2003_11_14_17_18_50190),
inference(unit_resulting_resolution,[],[f86,f111]) ).
fof(f111,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp2(X0)
| ! [X1] :
( ! [X2] :
( ~ cp1(X2)
| ~ rr(X1,X2) )
| ~ sP2(X1)
| ~ rinvR(X0,X1) ) )
& ( ( cp2(X0)
& cp1(sK6(X0))
& rr(sK5(X0),sK6(X0))
& sP2(sK5(X0))
& rinvR(X0,sK5(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f81,f83,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( cp1(X4)
& rr(X3,X4) )
& sP2(X3)
& rinvR(X0,X3) )
=> ( ? [X4] :
( cp1(X4)
& rr(sK5(X0),X4) )
& sP2(sK5(X0))
& rinvR(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ? [X4] :
( cp1(X4)
& rr(sK5(X0),X4) )
=> ( cp1(sK6(X0))
& rr(sK5(X0),sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp2(X0)
| ! [X1] :
( ! [X2] :
( ~ cp1(X2)
| ~ rr(X1,X2) )
| ~ sP2(X1)
| ~ rinvR(X0,X1) ) )
& ( ( cp2(X0)
& ? [X3] :
( ? [X4] :
( cp1(X4)
& rr(X3,X4) )
& sP2(X3)
& rinvR(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp2(X0)
| ! [X1] :
( ! [X2] :
( ~ cp1(X2)
| ~ rr(X1,X2) )
| ~ sP2(X1)
| ~ rinvR(X0,X1) ) )
& ( ( cp2(X0)
& ? [X1] :
( ? [X2] :
( cp1(X2)
& rr(X1,X2) )
& sP2(X1)
& rinvR(X0,X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp2(X0)
| ! [X1] :
( ! [X2] :
( ~ cp1(X2)
| ~ rr(X1,X2) )
| ~ sP2(X1)
| ~ rinvR(X0,X1) ) )
& ( ( cp2(X0)
& ? [X1] :
( ? [X2] :
( cp1(X2)
& rr(X1,X2) )
& sP2(X1)
& rinvR(X0,X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp2(X0)
& ? [X1] :
( ? [X2] :
( cp1(X2)
& rr(X1,X2) )
& sP2(X1)
& rinvR(X0,X1) ) ) ),
inference(definition_folding,[],[f37,f70]) ).
fof(f70,plain,
! [X1] :
( sP2(X1)
<=> ! [X3,X4] :
( X3 = X4
| ~ rr(X1,X4)
| ~ rr(X1,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f37,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp2(X0)
& ? [X1] :
( ? [X2] :
( cp1(X2)
& rr(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X1,X4)
| ~ rr(X1,X3) )
& rinvR(X0,X1) ) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp2(X0)
& ? [X1] :
( ? [X2] :
( cp1(X2)
& rr(X1,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X1,X4)
| ~ rr(X1,X3) )
& rinvR(X0,X1) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp2(X0)
& ? [X1] :
( ? [X2] :
( cp1(X2)
& rr(X1,X2) )
& ! [X3,X4] :
( ( rr(X1,X4)
& rr(X1,X3) )
=> X3 = X4 )
& rinvR(X0,X1) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( cp2(X3)
& ? [X4] :
( ? [X7] :
( cp1(X7)
& rr(X4,X7) )
& ! [X5,X6] :
( ( rr(X4,X6)
& rr(X4,X5) )
=> X5 = X6 )
& rinvR(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f86,plain,
cUnsatisfiable(i2003_11_14_17_18_50190),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
cUnsatisfiable(i2003_11_14_17_18_50190),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f191,plain,
cp1(i2003_11_14_17_18_50190),
inference(superposition,[],[f152,f182]) ).
fof(f182,plain,
i2003_11_14_17_18_50190 = sK6(i2003_11_14_17_18_50190),
inference(unit_resulting_resolution,[],[f150,f161,f169,f103]) ).
fof(f103,plain,
! [X3,X0,X4] :
( ~ rr(X0,X4)
| X3 = X4
| ~ rr(X0,X3)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( sP2(X0)
| ( sK3(X0) != sK4(X0)
& rr(X0,sK4(X0))
& rr(X0,sK3(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f76,f77]) ).
fof(f77,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK3(X0) != sK4(X0)
& rr(X0,sK4(X0))
& rr(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ( sP2(X0)
| ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X4)
| ~ rr(X0,X3) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X1] :
( ( sP2(X1)
| ? [X3,X4] :
( X3 != X4
& rr(X1,X4)
& rr(X1,X3) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ rr(X1,X4)
| ~ rr(X1,X3) )
| ~ sP2(X1) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f169,plain,
rr(sK5(i2003_11_14_17_18_50190),sK6(i2003_11_14_17_18_50190)),
inference(unit_resulting_resolution,[],[f86,f109]) ).
fof(f109,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(sK5(X0),sK6(X0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f161,plain,
rr(sK5(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190),
inference(unit_resulting_resolution,[],[f159,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| rr(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3,X4] :
( rinvR(X3,X4)
<=> rr(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f159,plain,
rinvR(i2003_11_14_17_18_50190,sK5(i2003_11_14_17_18_50190)),
inference(unit_resulting_resolution,[],[f86,f107]) ).
fof(f107,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rinvR(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f150,plain,
sP2(sK5(i2003_11_14_17_18_50190)),
inference(unit_resulting_resolution,[],[f86,f108]) ).
fof(f108,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP2(sK5(X0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f152,plain,
cp1(sK6(i2003_11_14_17_18_50190)),
inference(unit_resulting_resolution,[],[f86,f110]) ).
fof(f110,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sK6(X0)) ),
inference(cnf_transformation,[],[f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KRS072+1 : TPTP v8.2.0. Released v3.1.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n022.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sat May 18 22:34:07 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.30 % (4678)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (4681)WARNING: value z3 for option sas not known
% 0.14/0.31 % (4685)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)
% 0.14/0.31 % (4680)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.31 % (4683)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)
% 0.14/0.31 % (4679)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.31 % (4681)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)
% 0.14/0.31 % (4682)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.31 % (4684)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)
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 TRYING [3]
% 0.14/0.31 TRYING [3]
% 0.14/0.31 % (4685)First to succeed.
% 0.14/0.31 % (4681)Also succeeded, but the first one will report.
% 0.14/0.31 TRYING [4]
% 0.14/0.31 % (4685)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4678"
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 % (4684)Also succeeded, but the first one will report.
% 0.14/0.31 TRYING [4]
% 0.14/0.31 TRYING [3]
% 0.14/0.31 % (4685)Refutation found. Thanks to Tanya!
% 0.14/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.32 % (4685)------------------------------
% 0.14/0.32 % (4685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.32 % (4685)Termination reason: Refutation
% 0.14/0.32
% 0.14/0.32 % (4685)Memory used [KB]: 839
% 0.14/0.32 % (4685)Time elapsed: 0.004 s
% 0.14/0.32 % (4685)Instructions burned: 6 (million)
% 0.14/0.32 % (4678)Success in time 0.018 s
%------------------------------------------------------------------------------