TSTP Solution File: GRP657-10 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP657-10 : 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 : n008.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 12:08:27 EDT 2024

% Result   : Unsatisfiable 0.20s 0.39s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   0 con; 1-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f265,plain,
    $false,
    inference(trivial_inequality_removal,[],[f264]) ).

fof(f264,plain,
    ! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
    inference(forward_demodulation,[],[f236,f243]) ).

fof(f243,plain,
    ! [X2,X0] : mult(X2,ld(X0,X0)) = X2,
    inference(forward_demodulation,[],[f222,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).

fof(f222,plain,
    ! [X2,X0,X1] : mult(X2,ld(X0,X0)) = rd(mult(X2,mult(X1,X2)),mult(X1,X2)),
    inference(superposition,[],[f19,f197]) ).

fof(f197,plain,
    ! [X0,X1] : mult(ld(X0,X0),X1) = X1,
    inference(forward_demodulation,[],[f182,f4]) ).

fof(f182,plain,
    ! [X0,X1] : mult(ld(X0,X0),X1) = rd(mult(X1,X0),X0),
    inference(superposition,[],[f4,f153]) ).

fof(f153,plain,
    ! [X0,X1] : mult(X1,X0) = mult(mult(ld(X0,X0),X1),X0),
    inference(superposition,[],[f28,f2]) ).

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

fof(f28,plain,
    ! [X2,X0,X1] : mult(mult(ld(X0,X1),X2),X0) = ld(X0,mult(X1,mult(X2,X0))),
    inference(superposition,[],[f2,f13]) ).

fof(f13,plain,
    ! [X2,X0,X1] : mult(X0,mult(mult(ld(X0,X1),X2),X0)) = mult(X1,mult(X2,X0)),
    inference(superposition,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

fof(f5,axiom,
    ! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X0)) = mult(X0,mult(mult(X1,X2),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).

fof(f19,plain,
    ! [X2,X0,X1] : mult(X0,X1) = rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0)),
    inference(superposition,[],[f4,f5]) ).

fof(f236,plain,
    ! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),mult(x1_2(ld(X0,X0)),ld(X0,X0))),
    inference(superposition,[],[f6,f197]) ).

fof(f6,axiom,
    ! [X3] : tuple(mult(X3,x1(X3)),mult(x1_2(X3),X3)) != tuple(x1(X3),x1_2(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP657-10 : TPTP v8.1.2. Released v8.1.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 04:37:12 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (21012)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (21015)WARNING: value z3 for option sas not known
% 0.20/0.37  % (21016)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37  % (21014)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37  % (21015)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)
% 0.20/0.37  % (21018)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)
% 0.20/0.37  % (21013)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37  % (21019)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)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  % (21017)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)
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  TRYING [3]
% 0.20/0.39  % (21018)First to succeed.
% 0.20/0.39  % (21019)Also succeeded, but the first one will report.
% 0.20/0.39  % (21018)Refutation found. Thanks to Tanya!
% 0.20/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39  % (21018)------------------------------
% 0.20/0.39  % (21018)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.39  % (21018)Termination reason: Refutation
% 0.20/0.39  
% 0.20/0.39  % (21018)Memory used [KB]: 996
% 0.20/0.39  % (21018)Time elapsed: 0.019 s
% 0.20/0.39  % (21018)Instructions burned: 28 (million)
% 0.20/0.39  % (21018)------------------------------
% 0.20/0.39  % (21018)------------------------------
% 0.20/0.39  % (21012)Success in time 0.035 s
%------------------------------------------------------------------------------