TSTP Solution File: KRS124+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS124+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 : n028.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 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 6 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 99 ( 39 ~; 30 |; 12 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 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 : 64 ( 51 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(subsumption_resolution,[],[f62,f64]) ).
fof(f64,plain,
! [X0] : ~ ca_Ax3(X0),
inference(subsumption_resolution,[],[f63,f57]) ).
fof(f57,plain,
! [X0] :
( cc(X0)
| ~ ca_Ax3(X0) ),
inference(literal_reordering,[],[f45]) ).
fof(f45,plain,
! [X0] :
( cc(X0)
| ~ ca_Ax3(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ ca_Ax3(X0)
| ( cc(X0)
& cd(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(f63,plain,
! [X0] :
( ~ ca_Ax3(X0)
| ~ cc(X0) ),
inference(resolution,[],[f60,f50]) ).
fof(f50,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(literal_reordering,[],[f49]) ).
fof(f49,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(f60,plain,
! [X0] :
( ~ cdxcomp(X0)
| ~ ca_Ax3(X0) ),
inference(resolution,[],[f58,f55]) ).
fof(f55,plain,
! [X0] :
( cd(X0)
| ~ ca_Ax3(X0) ),
inference(literal_reordering,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ ca_Ax3(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f58,plain,
! [X0] :
( ~ cd(X0)
| ~ cdxcomp(X0) ),
inference(resolution,[],[f53,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(literal_reordering,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ~ cd(X0)
| ! [X1] : ~ ra_Px1(X0,X1) ),
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(f53,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(X0) ),
inference(literal_reordering,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(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,[],[f15]) ).
fof(f15,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) ).
fof(f62,plain,
ca_Ax3(sK0(i2003_11_14_17_22_10903)),
inference(subsumption_resolution,[],[f61,f51]) ).
fof(f51,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(literal_reordering,[],[f47]) ).
fof(f47,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(f61,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_10903)
| ca_Ax3(sK0(i2003_11_14_17_22_10903)) ),
inference(resolution,[],[f59,f52]) ).
fof(f52,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(literal_reordering,[],[f42]) ).
fof(f42,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( ! [X1] :
( ca_Ax3(X1)
| ~ rr(X0,X1) )
& rr(X0,sK0(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] :
( ~ cUnsatisfiable(X0)
| ( ! [X1] :
( ca_Ax3(X1)
| ~ rr(X0,X1) )
& ? [X2] : rr(X0,X2) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,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,[],[f16]) ).
fof(f16,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rr(X0,X1)
=> ca_Ax3(X1) )
& ? [X2] :
( cowlThing(X2)
& rr(X0,X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( ! [X1] :
( rr(X0,X1)
=> ca_Ax3(X1) )
& ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) )
<=> cUnsatisfiable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f59,plain,
! [X0] :
( ~ rr(i2003_11_14_17_22_10903,X0)
| ca_Ax3(X0) ),
inference(resolution,[],[f56,f51]) ).
fof(f56,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ca_Ax3(X1)
| ~ rr(X0,X1) ),
inference(literal_reordering,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ca_Ax3(X1)
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.14 % 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 : n028.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 00:43:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.19/0.54 % (19572)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (19572)First to succeed.
% 0.19/0.55 % (19565)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56 % (19572)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (19572)------------------------------
% 0.19/0.56 % (19572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (19572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (19572)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (19572)Memory used [KB]: 5756
% 0.19/0.56 % (19572)Time elapsed: 0.007 s
% 0.19/0.56 % (19572)Instructions burned: 3 (million)
% 0.19/0.56 % (19572)------------------------------
% 0.19/0.56 % (19572)------------------------------
% 0.19/0.56 % (19557)Success in time 0.202 s
%------------------------------------------------------------------------------