TSTP Solution File: KRS124+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS124+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 : n007.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 23:22:03 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 10 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 23 ~; 18 |; 12 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 50 ( 37 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(subsumption_resolution,[],[f57,f54]) ).
fof(f54,plain,
cd(sK0(i2003_11_14_17_22_10903)),
inference(resolution,[],[f52,f44]) ).
fof(f44,plain,
! [X0] :
( ~ ca_Ax3(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ( cc(X0)
& cd(X0) )
| ~ ca_Ax3(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ca_Ax3(X0)
=> ( cc(X0)
& cd(X0) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ca_Ax3(X0)
<=> ( cc(X0)
& cd(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f52,plain,
ca_Ax3(sK0(i2003_11_14_17_22_10903)),
inference(subsumption_resolution,[],[f51,f42]) ).
fof(f42,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
cUnsatisfiable(i2003_11_14_17_22_10903),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f51,plain,
( ca_Ax3(sK0(i2003_11_14_17_22_10903))
| ~ cUnsatisfiable(i2003_11_14_17_22_10903) ),
inference(resolution,[],[f47,f50]) ).
fof(f50,plain,
rr(i2003_11_14_17_22_10903,sK0(i2003_11_14_17_22_10903)),
inference(resolution,[],[f46,f42]) ).
fof(f46,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( ! [X1] :
( ca_Ax3(X1)
| ~ rr(X0,X1) )
& rr(X0,sK0(X0)) )
| ~ cUnsatisfiable(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f35,f38]) ).
fof(f38,plain,
! [X0] :
( ? [X2] : rr(X0,X2)
=> rr(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ( ! [X1] :
( ca_Ax3(X1)
| ~ rr(X0,X1) )
& ? [X2] : rr(X0,X2) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X1] :
( rr(X0,X1)
=> ca_Ax3(X1) )
& ? [X2] : rr(X0,X2) ) ),
inference(pure_predicate_removal,[],[f21]) ).
fof(f21,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X1] :
( rr(X0,X1)
=> ca_Ax3(X1) )
& ? [X2] :
( cowlThing(X2)
& rr(X0,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rr(X0,X1)
=> ca_Ax3(X1) )
& ? [X2] :
( cowlThing(X2)
& rr(X0,X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rr(X0,X1)
=> ca_Ax3(X1) )
& ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f47,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ca_Ax3(X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f57,plain,
~ cd(sK0(i2003_11_14_17_22_10903)),
inference(resolution,[],[f56,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f56,plain,
ra_Px1(sK0(i2003_11_14_17_22_10903),sK1(sK0(i2003_11_14_17_22_10903))),
inference(resolution,[],[f55,f48]) ).
fof(f48,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f36,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f16]) ).
fof(f16,plain,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X2] : ra_Px1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f55,plain,
cdxcomp(sK0(i2003_11_14_17_22_10903)),
inference(resolution,[],[f53,f43]) ).
fof(f43,plain,
! [X0] :
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f53,plain,
cc(sK0(i2003_11_14_17_22_10903)),
inference(resolution,[],[f52,f45]) ).
fof(f45,plain,
! [X0] :
( ~ ca_Ax3(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : KRS124+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 22:08:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (1993)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1994)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (1997)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (1995)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (1998)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (1999)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (1996)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (2000)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2,2,1,1]
% 0.14/0.38 TRYING [2,2,1,1]
% 0.14/0.38 % (1996)Also succeeded, but the first one will report.
% 0.14/0.38 % (1999)Also succeeded, but the first one will report.
% 0.14/0.38 % (1998)First to succeed.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2,1,2,1]
% 0.14/0.38 TRYING [2,1,2,1]
% 0.14/0.38 % (1994)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [2,2,2,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2,2,2,1]
% 0.14/0.38 TRYING [3,2,3,1]
% 0.14/0.38 % (2000)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [3,2,3,1]
% 0.14/0.38 % (1998)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1993"
% 0.14/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38 % (1995)Refutation not found, incomplete strategy% (1995)------------------------------
% 0.14/0.38 % (1995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (1997)Refutation not found, incomplete strategy% (1997)------------------------------
% 0.14/0.38 % (1997)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (1995)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38 % (1995)Memory used [KB]: 732
% 0.14/0.38 % (1995)Time elapsed: 0.004 s
% 0.14/0.38 % (1995)Instructions burned: 4 (million)
% 0.14/0.38 % (1997)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38 % (1997)Memory used [KB]: 732
% 0.14/0.38 % (1997)Time elapsed: 0.004 s
% 0.14/0.38 % (1997)Instructions burned: 4 (million)
% 0.14/0.38 % (1995)------------------------------
% 0.14/0.38 % (1995)------------------------------
% 0.14/0.38 % (1997)------------------------------
% 0.14/0.38 % (1997)------------------------------
% 0.14/0.38 % (1998)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (1998)------------------------------
% 0.14/0.38 % (1998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (1998)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (1998)Memory used [KB]: 740
% 0.14/0.38 % (1998)Time elapsed: 0.003 s
% 0.14/0.38 % (1998)Instructions burned: 3 (million)
% 0.14/0.38 % (1993)Success in time 0.008 s
%------------------------------------------------------------------------------