TSTP Solution File: KRS105+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS105+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 : n017.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 23:21:59 EDT 2024
% Result : Unsatisfiable 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 27 ~; 22 |; 4 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 39 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(subsumption_resolution,[],[f44,f40]) ).
fof(f40,plain,
~ cd(i2003_11_14_17_20_53634),
inference(resolution,[],[f39,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f39,plain,
ra_Px1(i2003_11_14_17_20_53634,sK1(i2003_11_14_17_20_53634)),
inference(resolution,[],[f36,f37]) ).
fof(f37,plain,
cdxcomp(i2003_11_14_17_20_53634),
inference(resolution,[],[f30,f28]) ).
fof(f28,plain,
cUnsatisfiable(i2003_11_14_17_20_53634),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
cUnsatisfiable(i2003_11_14_17_20_53634),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f30,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f36,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f23,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f11,plain,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X2] : ra_Px1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f44,plain,
cd(i2003_11_14_17_20_53634),
inference(resolution,[],[f43,f29]) ).
fof(f29,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( cd(X0)
| ~ ca_Ax2(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ca_Ax2(X0)
=> cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f43,plain,
ca_Ax2(i2003_11_14_17_20_53634),
inference(resolution,[],[f42,f38]) ).
fof(f38,plain,
cc(i2003_11_14_17_20_53634),
inference(resolution,[],[f31,f28]) ).
fof(f31,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cc(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f42,plain,
! [X0] :
( ~ cc(X0)
| ca_Ax2(X0) ),
inference(subsumption_resolution,[],[f41,f34]) ).
fof(f34,plain,
! [X0] :
( ~ cc(sK0(X0))
| ca_Ax2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ca_Ax2(X0)
| ( ~ cc(sK0(X0))
& rr(X0,sK0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f24]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( ~ cc(X1)
& rr(X0,X1) )
=> ( ~ cc(sK0(X0))
& rr(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ca_Ax2(X0)
| ? [X1] :
( ~ cc(X1)
& rr(X0,X1) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( rr(X0,X1)
=> cc(X1) )
=> ca_Ax2(X0) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f41,plain,
! [X0] :
( cc(sK0(X0))
| ~ cc(X0)
| ca_Ax2(X0) ),
inference(resolution,[],[f32,f33]) ).
fof(f33,plain,
! [X0] :
( rr(X0,sK0(X0))
| ca_Ax2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f32,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| cc(X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X1] :
( cc(X1)
| ~ rr(X0,X1) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( cc(X0)
=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS105+1 : TPTP v8.2.0. Released v3.1.0.
% 0.04/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat May 18 22:29:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (7759)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (7761)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 TRYING [1,1,1]
% 0.20/0.37 TRYING [2,1,1]
% 0.20/0.37 TRYING [2,2,1]
% 0.20/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.20/0.37 % (7761)Refutation not found, incomplete strategy% (7761)------------------------------
% 0.20/0.37 % (7761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37 % (7761)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.37
% 0.20/0.37 % (7761)Memory used [KB]: 728
% 0.20/0.37 % (7761)Time elapsed: 0.003 s
% 0.20/0.37 % (7761)Instructions burned: 3 (million)
% 0.20/0.37 % (7761)------------------------------
% 0.20/0.37 % (7761)------------------------------
% 0.20/0.38 % (7764)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.38 % (7764)First to succeed.
% 0.20/0.38 % (7764)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7759"
% 0.20/0.38 % (7764)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (7764)------------------------------
% 0.20/0.38 % (7764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (7764)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (7764)Memory used [KB]: 750
% 0.20/0.38 % (7764)Time elapsed: 0.004 s
% 0.20/0.38 % (7764)Instructions burned: 3 (million)
% 0.20/0.38 % (7759)Success in time 0.028 s
%------------------------------------------------------------------------------