TSTP Solution File: GRP162-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP162-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n018.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 16:20:37 EDT 2022
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f76,plain,
$false,
inference(subsumption_resolution,[],[f75,f18]) ).
fof(f18,axiom,
c != least_upper_bound(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_transa) ).
fof(f75,plain,
c = least_upper_bound(a,c),
inference(forward_demodulation,[],[f71,f17]) ).
fof(f17,axiom,
c = least_upper_bound(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_transa_2) ).
fof(f71,plain,
least_upper_bound(b,c) = least_upper_bound(a,c),
inference(superposition,[],[f37,f21]) ).
fof(f21,plain,
! [X1] : least_upper_bound(b,X1) = least_upper_bound(b,least_upper_bound(a,X1)),
inference(superposition,[],[f7,f19]) ).
fof(f19,plain,
b = least_upper_bound(b,a),
inference(forward_demodulation,[],[f16,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f16,axiom,
b = least_upper_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_transa_1) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_lub) ).
fof(f37,plain,
! [X0] : least_upper_bound(b,least_upper_bound(X0,c)) = least_upper_bound(X0,c),
inference(superposition,[],[f20,f5]) ).
fof(f20,plain,
! [X0] : least_upper_bound(c,X0) = least_upper_bound(b,least_upper_bound(c,X0)),
inference(superposition,[],[f7,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP162-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 22:21:24 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (23604)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.47 TRYING [1]
% 0.16/0.48 TRYING [2]
% 0.16/0.48 % (23598)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.48 % (23621)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 (2999ds/467Mi)
% 0.16/0.48 % (23620)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.48 TRYING [3]
% 0.16/0.48 % (23613)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.49 % (23602)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.49 % (23621)First to succeed.
% 0.16/0.49 % (23605)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50 % (23621)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (23621)------------------------------
% 0.16/0.50 % (23621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (23621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (23621)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (23621)Memory used [KB]: 5500
% 0.16/0.50 % (23621)Time elapsed: 0.072 s
% 0.16/0.50 % (23621)Instructions burned: 6 (million)
% 0.16/0.50 % (23621)------------------------------
% 0.16/0.50 % (23621)------------------------------
% 0.16/0.50 % (23597)Success in time 0.174 s
%------------------------------------------------------------------------------