TSTP Solution File: CAT004-4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CAT004-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.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 : Sun May  5 04:43:43 EDT 2024

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            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 :   17 (  11   ~;   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(f3826,plain,
    $false,
    inference(subsumption_resolution,[],[f3825,f16]) ).

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

fof(f3825,plain,
    compose(h,compose(a,b)) != compose(g,compose(a,b)),
    inference(forward_demodulation,[],[f3824,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(f3824,plain,
    compose(g,compose(a,b)) != compose(compose(h,a),b),
    inference(forward_demodulation,[],[f3823,f9]) ).

fof(f3823,plain,
    compose(compose(h,a),b) != compose(compose(g,a),b),
    inference(unit_resulting_resolution,[],[f3811,f18]) ).

fof(f18,plain,
    ! [X2,X0] :
      ( compose(X0,b) != compose(X2,b)
      | X0 = X2 ),
    inference(equality_resolution,[],[f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( X0 = X2
      | compose(X2,b) != X1
      | compose(X0,b) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product2) ).

fof(f3811,plain,
    compose(h,a) != compose(g,a),
    inference(unit_resulting_resolution,[],[f17,f19]) ).

fof(f19,plain,
    ! [X2,X0] :
      ( compose(X0,a) != compose(X2,a)
      | X0 = X2 ),
    inference(equality_resolution,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( X0 = X2
      | compose(X2,a) != X1
      | compose(X0,a) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product1) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : CAT004-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 18:11:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (7280)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (7285)WARNING: value z3 for option sas not known
% 0.15/0.37  % (7285)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (7283)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37  % (7284)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (7286)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37  % (7288)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37  % (7289)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37  % (7287)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [3]
% 0.15/0.40  TRYING [5]
% 0.15/0.40  TRYING [4]
% 0.15/0.42  % (7289)First to succeed.
% 0.15/0.42  % (7289)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7280"
% 0.15/0.42  % (7289)Refutation found. Thanks to Tanya!
% 0.15/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.42  % (7289)------------------------------
% 0.15/0.42  % (7289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.42  % (7289)Termination reason: Refutation
% 0.15/0.42  
% 0.15/0.42  % (7289)Memory used [KB]: 1130
% 0.15/0.42  % (7289)Time elapsed: 0.048 s
% 0.15/0.42  % (7289)Instructions burned: 105 (million)
% 0.15/0.42  % (7280)Success in time 0.064 s
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