TSTP Solution File: CAT002-4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT002-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : n022.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 15:50:38 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(subsumption_resolution,[],[f43,f35]) ).

fof(f35,plain,
    compose(b,g) != compose(b,h),
    inference(unit_resulting_resolution,[],[f17,f19]) ).

fof(f19,plain,
    ! [X2,X0] :
      ( compose(b,X0) != compose(b,X2)
      | X0 = X2 ),
    inference(equality_resolution,[],[f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( compose(b,X0) != X1
      | X0 = X2
      | compose(b,X2) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose2) ).

fof(f17,axiom,
    h != g,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).

fof(f43,plain,
    compose(b,g) = compose(b,h),
    inference(unit_resulting_resolution,[],[f22,f18]) ).

fof(f18,plain,
    ! [X2,X0] :
      ( compose(a,X0) != compose(a,X2)
      | X0 = X2 ),
    inference(equality_resolution,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( X0 = X2
      | compose(a,X0) != X1
      | compose(a,X2) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose1) ).

fof(f22,plain,
    compose(a,compose(b,h)) = compose(a,compose(b,g)),
    inference(forward_demodulation,[],[f21,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_compose) ).

fof(f21,plain,
    compose(compose(a,b),h) = compose(a,compose(b,g)),
    inference(forward_demodulation,[],[f16,f9]) ).

fof(f16,axiom,
    compose(compose(a,b),h) = compose(compose(a,b),g),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : CAT002-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 16:16:26 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (12306)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49  % (12313)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.49  % (12306)Instruction limit reached!
% 0.18/0.49  % (12306)------------------------------
% 0.18/0.49  % (12306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (12319)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.50  % (12321)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50  % (12306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (12306)Termination reason: Unknown
% 0.18/0.50  % (12306)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (12306)Memory used [KB]: 5884
% 0.18/0.50  % (12306)Time elapsed: 0.102 s
% 0.18/0.50  % (12306)Instructions burned: 4 (million)
% 0.18/0.50  % (12306)------------------------------
% 0.18/0.50  % (12306)------------------------------
% 0.18/0.50  % (12302)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.50  % (12302)First to succeed.
% 0.18/0.50  % (12320)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.50  % (12302)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (12302)------------------------------
% 0.18/0.50  % (12302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (12302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (12302)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (12302)Memory used [KB]: 5884
% 0.18/0.50  % (12302)Time elapsed: 0.110 s
% 0.18/0.50  % (12302)Instructions burned: 2 (million)
% 0.18/0.50  % (12302)------------------------------
% 0.18/0.50  % (12302)------------------------------
% 0.18/0.50  % (12297)Success in time 0.162 s
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