TSTP Solution File: GRP143-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP143-1 : 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 : n016.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 16:20:34 EDT 2022
% Result : Unsatisfiable 1.16s 0.66s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,plain,
$false,
inference(subsumption_resolution,[],[f52,f19]) ).
fof(f19,plain,
sF0 != sF1,
inference(definition_folding,[],[f16,f18,f17,f17]) ).
fof(f17,plain,
greatest_lower_bound(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f18,plain,
sF1 = greatest_lower_bound(sF0,a),
introduced(function_definition,[]) ).
fof(f16,axiom,
greatest_lower_bound(a,b) != greatest_lower_bound(greatest_lower_bound(a,b),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_glb2b) ).
fof(f52,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f47,f37]) ).
fof(f37,plain,
sF0 = greatest_lower_bound(a,sF0),
inference(superposition,[],[f20,f17]) ).
fof(f20,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1)),
inference(superposition,[],[f6,f9]) ).
fof(f9,axiom,
! [X0] : greatest_lower_bound(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_gld) ).
fof(f6,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_glb) ).
fof(f47,plain,
sF1 = greatest_lower_bound(a,sF0),
inference(superposition,[],[f18,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP143-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:39:30 EDT 2022
% 0.13/0.34 % CPUTime :
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% 1.16/0.63 % (7935)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.16/0.65 % (7935)First to succeed.
% 1.16/0.65 % (7944)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.16/0.65 % (7960)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/355Mi)
% 1.16/0.66 % (7935)Refutation found. Thanks to Tanya!
% 1.16/0.66 % SZS status Unsatisfiable for theBenchmark
% 1.16/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.16/0.66 % (7935)------------------------------
% 1.16/0.66 % (7935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.16/0.66 % (7935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.16/0.66 % (7935)Termination reason: Refutation
% 1.16/0.66
% 1.16/0.66 % (7935)Memory used [KB]: 5373
% 1.16/0.66 % (7935)Time elapsed: 0.098 s
% 1.16/0.66 % (7935)Instructions burned: 4 (million)
% 1.16/0.66 % (7935)------------------------------
% 1.16/0.66 % (7935)------------------------------
% 1.16/0.66 % (7788)Success in time 0.309 s
%------------------------------------------------------------------------------