TSTP Solution File: KRS105+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS105+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 : 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 : Wed Aug 31 17:30:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 27 ~; 21 |; 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,f38]) ).
fof(f38,plain,
cdxcomp(i2003_11_14_17_20_53634),
inference(resolution,[],[f34,f30]) ).
fof(f30,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(f34,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,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(f44,plain,
~ cdxcomp(i2003_11_14_17_20_53634),
inference(resolution,[],[f43,f31]) ).
fof(f31,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(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] :
( ? [X1] : ra_Px1(X0,X1)
<=> cdxcomp(X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
<=> cdxcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f43,plain,
! [X0] : ~ ra_Px1(i2003_11_14_17_20_53634,X0),
inference(resolution,[],[f42,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ~ cd(X0)
| ! [X1] : ~ ra_Px1(X0,X1) ),
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(f42,plain,
cd(i2003_11_14_17_20_53634),
inference(resolution,[],[f41,f32]) ).
fof(f32,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,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(f41,plain,
ca_Ax2(i2003_11_14_17_20_53634),
inference(subsumption_resolution,[],[f40,f29]) ).
fof(f29,plain,
! [X0] :
( ~ cc(sK0(X0))
| ca_Ax2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( ~ cc(sK0(X0))
& rr(X0,sK0(X0)) )
| ca_Ax2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f24]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( ~ cc(X1)
& rr(X0,X1) )
=> ( ~ cc(sK0(X0))
& rr(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( ~ cc(X1)
& rr(X0,X1) )
| ca_Ax2(X0) ),
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] :
( ! [X1] :
( rr(X0,X1)
=> cc(X1) )
<=> ca_Ax2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f40,plain,
( ca_Ax2(i2003_11_14_17_20_53634)
| cc(sK0(i2003_11_14_17_20_53634)) ),
inference(resolution,[],[f39,f28]) ).
fof(f28,plain,
! [X0] :
( rr(X0,sK0(X0))
| ca_Ax2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f39,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_53634,X0)
| cc(X0) ),
inference(resolution,[],[f35,f37]) ).
fof(f37,plain,
cc(i2003_11_14_17_20_53634),
inference(resolution,[],[f33,f30]) ).
fof(f33,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,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(f35,plain,
! [X0,X1] :
( ~ cc(X0)
| ~ rr(X0,X1)
| cc(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ~ cc(X0)
| ! [X1] :
( ~ rr(X0,X1)
| cc(X1) ) ),
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
% 0.03/0.12 % Problem : KRS105+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:18:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (28997)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 (3000ds/68Mi)
% 0.19/0.50 % (28994)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.50 % (28994)First to succeed.
% 0.19/0.50 % (28979)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50 % (28987)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50 % (28980)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (28980)Also succeeded, but the first one will report.
% 0.19/0.51 % (28994)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (28994)------------------------------
% 0.19/0.51 % (28994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28994)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (28994)Memory used [KB]: 5373
% 0.19/0.51 % (28994)Time elapsed: 0.053 s
% 0.19/0.51 % (28994)Instructions burned: 1 (million)
% 0.19/0.51 % (28994)------------------------------
% 0.19/0.51 % (28994)------------------------------
% 0.19/0.51 % (28970)Success in time 0.156 s
%------------------------------------------------------------------------------