TSTP Solution File: GRP665-10 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP665-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 : Tue Apr 30 12:08:30 EDT 2024

% Result   : Unsatisfiable 0.16s 0.35s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f390,plain,
    $false,
    inference(trivial_inequality_removal,[],[f372]) ).

fof(f372,plain,
    mult(op_c,mult(x0,x1)) != mult(op_c,mult(x0,x1)),
    inference(superposition,[],[f10,f216]) ).

fof(f216,plain,
    ! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1),
    inference(forward_demodulation,[],[f215,f9]) ).

fof(f9,axiom,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).

fof(f215,plain,
    ! [X0,X1] : mult(mult(X0,X1),op_c) = mult(mult(op_c,X0),X1),
    inference(forward_demodulation,[],[f184,f32]) ).

fof(f32,plain,
    ! [X0] : ld(op_c,mult(X0,op_c)) = X0,
    inference(superposition,[],[f2,f9]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

fof(f184,plain,
    ! [X0,X1] : mult(mult(X0,X1),op_c) = mult(mult(op_c,X0),ld(op_c,mult(X1,op_c))),
    inference(superposition,[],[f8,f9]) ).

fof(f8,axiom,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).

fof(f10,axiom,
    mult(op_c,mult(x0,x1)) != mult(mult(op_c,x0),x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GRP665-10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32  % Computer : n027.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Apr 30 04:52:17 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  % (29516)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33  % (29519)WARNING: value z3 for option sas not known
% 0.16/0.34  % (29521)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)
% 0.16/0.34  % (29518)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.34  % (29517)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.34  % (29520)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.34  % (29523)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)
% 0.16/0.34  % (29522)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)
% 0.16/0.34  % (29519)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)
% 0.16/0.34  TRYING [1]
% 0.16/0.34  TRYING [2]
% 0.16/0.34  TRYING [3]
% 0.16/0.34  TRYING [1]
% 0.16/0.34  TRYING [2]
% 0.16/0.34  TRYING [4]
% 0.16/0.35  % (29519)First to succeed.
% 0.16/0.35  % (29521)Also succeeded, but the first one will report.
% 0.16/0.35  TRYING [3]
% 0.16/0.35  TRYING [1]
% 0.16/0.35  % (29519)Refutation found. Thanks to Tanya!
% 0.16/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.35  % (29519)------------------------------
% 0.16/0.35  % (29519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.35  % (29519)Termination reason: Refutation
% 0.16/0.35  
% 0.16/0.35  % (29519)Memory used [KB]: 927
% 0.16/0.35  % (29519)Time elapsed: 0.013 s
% 0.16/0.35  % (29519)Instructions burned: 22 (million)
% 0.16/0.35  % (29519)------------------------------
% 0.16/0.35  % (29519)------------------------------
% 0.16/0.35  % (29516)Success in time 0.027 s
%------------------------------------------------------------------------------