TSTP Solution File: KRS090+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS090+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 : n015.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 23:21:56 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 87 ( 34 ~; 32 |; 13 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 30 ( 27 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,plain,
$false,
inference(subsumption_resolution,[],[f71,f67]) ).
fof(f67,plain,
cA(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f66,f64]) ).
fof(f64,plain,
cC2(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f61,f62]) ).
fof(f62,plain,
cC4(i2003_11_14_17_19_57994),
inference(resolution,[],[f53,f52]) ).
fof(f52,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f53,plain,
! [X0] :
( ~ cTEST(X0)
| cC4(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( cC5(X0)
& cC4(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( cTEST(X0)
=> ( cC5(X0)
& cC4(X0) ) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( cTEST(X0)
=> ( cC5(X0)
& cC1(X0)
& cC4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f61,plain,
! [X0] :
( ~ cC4(X0)
| cC2(sK0(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( cC2(sK0(X0))
& rR(X0,sK0(X0)) )
| ~ cC4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f49,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
( cC2(X1)
& rR(X0,X1) )
=> ( cC2(sK0(X0))
& rR(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( cC2(X1)
& rR(X0,X1) )
| ~ cC4(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( cC4(X0)
=> ? [X1] :
( cC2(X1)
& rR(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f66,plain,
! [X0] :
( ~ cC2(X0)
| cA(X0) ),
inference(subsumption_resolution,[],[f58,f57]) ).
fof(f57,plain,
! [X0] :
( ~ cB(X0)
| cA(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( ( cA(X0)
| cB(X0) )
& ( cA(X0)
| ~ cB(X0) ) )
| ~ cC2(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( cC2(X0)
=> ( ( cA(X0)
| cB(X0) )
& ( cA(X0)
| ~ cB(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f58,plain,
! [X0] :
( cA(X0)
| cB(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
~ cA(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f70,f65]) ).
fof(f65,plain,
! [X0] :
( ~ cC3(X0)
| ~ cA(X0) ),
inference(subsumption_resolution,[],[f56,f55]) ).
fof(f55,plain,
! [X0] :
( ~ cC3(X0)
| ~ cB(X0)
| ~ cA(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( ( ~ cA(X0)
| cB(X0) )
& ( ~ cA(X0)
| ~ cB(X0) ) )
| ~ cC3(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( cC3(X0)
=> ( ( ~ cA(X0)
| cB(X0) )
& ( ~ cA(X0)
| ~ cB(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f56,plain,
! [X0] :
( ~ cA(X0)
| cB(X0)
| ~ cC3(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f70,plain,
cC3(sK0(i2003_11_14_17_19_57994)),
inference(subsumption_resolution,[],[f69,f63]) ).
fof(f63,plain,
cC5(i2003_11_14_17_19_57994),
inference(resolution,[],[f54,f52]) ).
fof(f54,plain,
! [X0] :
( ~ cTEST(X0)
| cC5(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f69,plain,
( cC3(sK0(i2003_11_14_17_19_57994))
| ~ cC5(i2003_11_14_17_19_57994) ),
inference(resolution,[],[f59,f68]) ).
fof(f68,plain,
rR(i2003_11_14_17_19_57994,sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f60,f62]) ).
fof(f60,plain,
! [X0] :
( ~ cC4(X0)
| rR(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f59,plain,
! [X0,X1] :
( ~ rR(X0,X1)
| cC3(X1)
| ~ cC5(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( cC3(X1)
| ~ rR(X0,X1) )
| ~ cC5(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( cC5(X0)
=> ! [X1] :
( rR(X0,X1)
=> cC3(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS090+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 : n015.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 22:03:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12061)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (12065)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 % (12066)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (12062)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (12067)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (12064)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 % (12063)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (12068)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (12066)First to succeed.
% 0.14/0.37 TRYING [2,2,1]
% 0.14/0.37 TRYING [2,2,1]
% 0.14/0.37 % (12062)Also succeeded, but the first one will report.
% 0.14/0.37 % (12064)Also succeeded, but the first one will report.
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (12063)Refutation not found, incomplete strategy% (12063)------------------------------
% 0.14/0.37 % (12063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (12065)Refutation not found, incomplete strategy% (12065)------------------------------
% 0.14/0.37 % (12065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (12067)Also succeeded, but the first one will report.
% 0.14/0.37 % (12065)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (12065)Memory used [KB]: 767
% 0.14/0.37 % (12065)Time elapsed: 0.004 s
% 0.14/0.37 % (12065)Instructions burned: 4 (million)
% 0.14/0.37 % (12063)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (12063)Memory used [KB]: 767
% 0.14/0.37 % (12063)Time elapsed: 0.004 s
% 0.14/0.37 % (12063)Instructions burned: 4 (million)
% 0.14/0.37 % (12065)------------------------------
% 0.14/0.37 % (12065)------------------------------
% 0.14/0.37 % (12066)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12061"
% 0.14/0.37 % (12063)------------------------------
% 0.14/0.37 % (12063)------------------------------
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (12068)Also succeeded, but the first one will report.
% 0.14/0.37 % (12066)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (12066)------------------------------
% 0.14/0.37 % (12066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (12066)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (12066)Memory used [KB]: 788
% 0.14/0.37 % (12066)Time elapsed: 0.004 s
% 0.14/0.37 % (12066)Instructions burned: 4 (million)
% 0.14/0.37 % (12061)Success in time 0.03 s
%------------------------------------------------------------------------------