TSTP Solution File: CAT003-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT003-3 : 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 : n010.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 15:50:39 EDT 2022

% Result   : Unsatisfiable 1.17s 0.65s
% Output   : Refutation 1.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  12 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (  10   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 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   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f126,plain,
    $false,
    inference(trivial_inequality_removal,[],[f125]) ).

fof(f125,plain,
    compose(h,compose(a,compose(b,compose(a,b)))) != compose(h,compose(a,compose(b,compose(a,b)))),
    inference(backward_demodulation,[],[f50,f117]) ).

fof(f117,plain,
    ! [X8] : compose(g,compose(a,X8)) = compose(h,compose(a,X8)),
    inference(forward_demodulation,[],[f109,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(f109,plain,
    ! [X8] : compose(g,compose(a,X8)) = compose(compose(h,a),X8),
    inference(superposition,[],[f9,f21]) ).

fof(f21,axiom,
    compose(h,a) = compose(g,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_equals_ga) ).

fof(f50,plain,
    compose(g,compose(a,compose(b,compose(a,b)))) != compose(h,compose(a,compose(b,compose(a,b)))),
    inference(forward_demodulation,[],[f49,f9]) ).

fof(f49,plain,
    compose(h,compose(compose(a,b),compose(a,b))) != compose(g,compose(compose(a,b),compose(a,b))),
    inference(forward_demodulation,[],[f48,f9]) ).

fof(f48,plain,
    compose(h,compose(compose(a,b),compose(a,b))) != compose(compose(g,compose(a,b)),compose(a,b)),
    inference(forward_demodulation,[],[f44,f9]) ).

fof(f44,plain,
    compose(compose(g,compose(a,b)),compose(a,b)) != compose(compose(h,compose(a,b)),compose(a,b)),
    inference(unit_resulting_resolution,[],[f42,f24]) ).

fof(f24,plain,
    ! [X2,X0] :
      ( compose(X0,compose(a,b)) != compose(X2,compose(a,b))
      | X0 = X2 ),
    inference(equality_resolution,[],[f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( X0 = X2
      | compose(X2,compose(a,b)) != X1
      | compose(X0,compose(a,b)) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epimorphism) ).

fof(f42,plain,
    compose(h,compose(a,b)) != compose(g,compose(a,b)),
    inference(unit_resulting_resolution,[],[f22,f24]) ).

fof(f22,axiom,
    h != g,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CAT003-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.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 16:08:14 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  ipcrm: permission denied for id (616759298)
% 0.13/0.36  ipcrm: permission denied for id (616792067)
% 0.13/0.37  ipcrm: permission denied for id (616824837)
% 0.13/0.37  ipcrm: permission denied for id (616923143)
% 0.13/0.38  ipcrm: permission denied for id (617119758)
% 0.13/0.39  ipcrm: permission denied for id (617381912)
% 0.19/0.40  ipcrm: permission denied for id (617480228)
% 0.19/0.41  ipcrm: permission denied for id (617512999)
% 0.19/0.41  ipcrm: permission denied for id (617545768)
% 0.19/0.41  ipcrm: permission denied for id (617611307)
% 0.19/0.42  ipcrm: permission denied for id (617644081)
% 0.19/0.42  ipcrm: permission denied for id (617775158)
% 0.19/0.42  ipcrm: permission denied for id (617807927)
% 0.19/0.42  ipcrm: permission denied for id (617873467)
% 0.19/0.43  ipcrm: permission denied for id (618004543)
% 0.19/0.44  ipcrm: permission denied for id (618266699)
% 0.19/0.44  ipcrm: permission denied for id (618299468)
% 0.19/0.44  ipcrm: permission denied for id (618332237)
% 0.19/0.44  ipcrm: permission denied for id (618365009)
% 0.19/0.44  ipcrm: permission denied for id (618397778)
% 0.19/0.45  ipcrm: permission denied for id (618561627)
% 0.19/0.45  ipcrm: permission denied for id (618594396)
% 0.19/0.46  ipcrm: permission denied for id (618856545)
% 0.19/0.46  ipcrm: permission denied for id (618791011)
% 0.19/0.46  ipcrm: permission denied for id (618823780)
% 0.19/0.47  ipcrm: permission denied for id (618889321)
% 0.19/0.47  ipcrm: permission denied for id (619020399)
% 0.19/0.48  ipcrm: permission denied for id (619085939)
% 0.19/0.48  ipcrm: permission denied for id (619118709)
% 0.19/0.48  ipcrm: permission denied for id (619151480)
% 0.19/0.49  ipcrm: permission denied for id (619217019)
% 0.19/0.49  ipcrm: permission denied for id (619249790)
% 0.19/0.49  ipcrm: permission denied for id (619282559)
% 1.00/0.61  % (30719)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/23Mi)
% 1.11/0.62  % (30721)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.17/0.63  % (30721)Instruction limit reached!
% 1.17/0.63  % (30721)------------------------------
% 1.17/0.63  % (30721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.63  % (30721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.63  % (30721)Termination reason: Unknown
% 1.17/0.63  % (30721)Termination phase: Saturation
% 1.17/0.63  
% 1.17/0.63  % (30721)Memory used [KB]: 5884
% 1.17/0.63  % (30721)Time elapsed: 0.094 s
% 1.17/0.63  % (30721)Instructions burned: 3 (million)
% 1.17/0.63  % (30721)------------------------------
% 1.17/0.63  % (30721)------------------------------
% 1.17/0.63  % (30711)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/43Mi)
% 1.17/0.63  % (30728)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.17/0.64  % (30724)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.17/0.64  % (30720)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 1.17/0.64  % (30713)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 1.17/0.64  % (30720)Instruction limit reached!
% 1.17/0.64  % (30720)------------------------------
% 1.17/0.64  % (30720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.64  % (30720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.64  % (30720)Termination reason: Unknown
% 1.17/0.64  % (30720)Termination phase: Saturation
% 1.17/0.64  
% 1.17/0.64  % (30720)Memory used [KB]: 5884
% 1.17/0.64  % (30720)Time elapsed: 0.110 s
% 1.17/0.64  % (30720)Instructions burned: 5 (million)
% 1.17/0.64  % (30720)------------------------------
% 1.17/0.64  % (30720)------------------------------
% 1.17/0.65  % (30731)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 (2998ds/37Mi)
% 1.17/0.65  % (30708)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99966Mi)
% 1.17/0.65  % (30719)Instruction limit reached!
% 1.17/0.65  % (30719)------------------------------
% 1.17/0.65  % (30719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.65  % (30719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.65  % (30719)Termination reason: Unknown
% 1.17/0.65  % (30719)Termination phase: Saturation
% 1.17/0.65  
% 1.17/0.65  % (30719)Memory used [KB]: 6140
% 1.17/0.65  % (30719)Time elapsed: 0.096 s
% 1.17/0.65  % (30719)Instructions burned: 24 (million)
% 1.17/0.65  % (30719)------------------------------
% 1.17/0.65  % (30719)------------------------------
% 1.17/0.65  % (30728)First to succeed.
% 1.17/0.65  % (30722)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.17/0.65  % (30717)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.17/0.65  % (30709)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 1.17/0.65  % (30728)Refutation found. Thanks to Tanya!
% 1.17/0.65  % SZS status Unsatisfiable for theBenchmark
% 1.17/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 1.17/0.65  % (30728)------------------------------
% 1.17/0.65  % (30728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.65  % (30728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.65  % (30728)Termination reason: Refutation
% 1.17/0.65  
% 1.17/0.65  % (30728)Memory used [KB]: 1535
% 1.17/0.65  % (30728)Time elapsed: 0.121 s
% 1.17/0.65  % (30728)Instructions burned: 5 (million)
% 1.17/0.65  % (30728)------------------------------
% 1.17/0.65  % (30728)------------------------------
% 1.17/0.65  % (30574)Success in time 0.297 s
%------------------------------------------------------------------------------