TSTP Solution File: KRS123+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS123+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n001.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 : Wed Aug 31 17:30:52 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 15 ~; 10 |; 3 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 21 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,plain,
$false,
inference(subsumption_resolution,[],[f45,f42]) ).
fof(f42,plain,
cd(i2003_11_14_17_22_02803),
inference(resolution,[],[f36,f37]) ).
fof(f37,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
cUnsatisfiable(i2003_11_14_17_22_02803),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f36,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( cd(X0)
& cc(X0) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( cd(X0)
& cc(X0) ) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( cd(X0)
& cc(X0) )
<=> cUnsatisfiable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f45,plain,
~ cd(i2003_11_14_17_22_02803),
inference(resolution,[],[f44,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,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(f44,plain,
ra_Px1(i2003_11_14_17_22_02803,sK0(i2003_11_14_17_22_02803)),
inference(resolution,[],[f39,f43]) ).
fof(f43,plain,
cdxcomp(i2003_11_14_17_22_02803),
inference(resolution,[],[f40,f41]) ).
fof(f41,plain,
cc(i2003_11_14_17_22_02803),
inference(resolution,[],[f35,f37]) ).
fof(f35,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f40,plain,
! [X0] :
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,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(f39,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f31,f33]) ).
fof(f33,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
<=> cdxcomp(X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X2] : ra_Px1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS123+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.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 : Tue Aug 30 00:55:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (30817)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.49 % (30817)First to succeed.
% 0.21/0.49 % (30809)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.50 % (30817)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (30817)------------------------------
% 0.21/0.50 % (30817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (30817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (30817)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (30817)Memory used [KB]: 5373
% 0.21/0.50 % (30817)Time elapsed: 0.086 s
% 0.21/0.50 % (30817)Instructions burned: 2 (million)
% 0.21/0.50 % (30817)------------------------------
% 0.21/0.50 % (30817)------------------------------
% 0.21/0.50 % (30787)Success in time 0.148 s
%------------------------------------------------------------------------------