TSTP Solution File: GRP188-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP188-2 : 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_uns --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 16:14:49 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,plain,
    $false,
    inference(subsumption_resolution,[],[f60,f22]) ).

fof(f22,plain,
    sF0 != sF1,
    inference(definition_folding,[],[f19,f21,f20,f20]) ).

fof(f20,plain,
    least_upper_bound(a,b) = sF0,
    introduced(function_definition,[]) ).

fof(f21,plain,
    least_upper_bound(b,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f19,axiom,
    least_upper_bound(a,b) != least_upper_bound(b,least_upper_bound(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p38a) ).

fof(f60,plain,
    sF0 = sF1,
    inference(forward_demodulation,[],[f58,f21]) ).

fof(f58,plain,
    sF0 = least_upper_bound(b,sF0),
    inference(superposition,[],[f5,f48]) ).

fof(f48,plain,
    sF0 = least_upper_bound(sF0,b),
    inference(superposition,[],[f32,f39]) ).

fof(f39,plain,
    b = greatest_lower_bound(b,sF0),
    inference(superposition,[],[f11,f30]) ).

fof(f30,plain,
    sF0 = least_upper_bound(b,a),
    inference(backward_demodulation,[],[f20,f5]) ).

fof(f11,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).

fof(f32,plain,
    ! [X2,X1] : least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
    inference(superposition,[],[f10,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) ).

fof(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP188-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n018.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   : Mon Aug 29 22:42:39 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.19/0.49  % (2850)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.19/0.50  % (2852)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50  % (2851)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (2850)Instruction limit reached!
% 0.19/0.51  % (2850)------------------------------
% 0.19/0.51  % (2850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (2853)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (2850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (2850)Termination reason: Unknown
% 0.19/0.51  % (2850)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (2850)Memory used [KB]: 5756
% 0.19/0.51  % (2850)Time elapsed: 0.085 s
% 0.19/0.51  % (2850)Instructions burned: 10 (million)
% 0.19/0.51  % (2850)------------------------------
% 0.19/0.51  % (2850)------------------------------
% 0.19/0.51  % (2880)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (2870)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.51  % (2859)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.51  % (2874)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.19/0.52  % (2872)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.19/0.52  % (2849)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.52  % (2864)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.19/0.52  % (2861)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52  % (2849)First to succeed.
% 0.19/0.52  % (2849)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (2849)------------------------------
% 0.19/0.52  % (2849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (2849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (2849)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (2849)Memory used [KB]: 5500
% 0.19/0.52  % (2849)Time elapsed: 0.122 s
% 0.19/0.52  % (2849)Instructions burned: 3 (million)
% 0.19/0.52  % (2849)------------------------------
% 0.19/0.52  % (2849)------------------------------
% 0.19/0.52  % (2847)Success in time 0.169 s
%------------------------------------------------------------------------------