TSTP Solution File: GRP698-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP698-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 12:08:39 EDT 2024

% Result   : Unsatisfiable 1.46s 0.61s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 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    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10757,plain,
    $false,
    inference(trivial_inequality_removal,[],[f10718]) ).

fof(f10718,plain,
    mult(a,mult(b,c)) != mult(a,mult(b,c)),
    inference(superposition,[],[f9,f6712]) ).

fof(f6712,plain,
    ! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
    inference(forward_demodulation,[],[f6711,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

fof(f6711,plain,
    ! [X2,X0,X1] : mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(rd(X1,X0),X0),X2)),
    inference(forward_demodulation,[],[f6619,f3]) ).

fof(f6619,plain,
    ! [X2,X0,X1] : mult(X0,mult(mult(mult(rd(rd(X1,X0),X0),X0),X0),X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
    inference(superposition,[],[f7,f825]) ).

fof(f825,plain,
    ! [X0,X1] : mult(mult(X1,rd(rd(X0,X1),X1)),X1) = rd(mult(X1,X0),X1),
    inference(superposition,[],[f299,f3]) ).

fof(f299,plain,
    ! [X0,X1] : mult(mult(X1,rd(X0,X1)),X1) = rd(mult(X1,mult(X0,X1)),X1),
    inference(superposition,[],[f142,f3]) ).

fof(f142,plain,
    ! [X0,X1] : mult(mult(X0,X1),X0) = rd(mult(X0,mult(mult(X1,X0),X0)),X0),
    inference(superposition,[],[f4,f58]) ).

fof(f58,plain,
    ! [X0,X1] : mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
    inference(forward_demodulation,[],[f43,f5]) ).

fof(f5,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

fof(f43,plain,
    ! [X0,X1] : mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
    inference(superposition,[],[f7,f5]) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

fof(f9,axiom,
    mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP698-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36  % Computer : n020.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Apr 30 04:31:32 EDT 2024
% 0.21/0.37  % CPUTime    : 
% 0.21/0.37  % (14919)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (14924)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)
% 0.21/0.38  % (14922)WARNING: value z3 for option sas not known
% 0.21/0.38  % (14923)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38  % (14922)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)
% 0.21/0.38  % (14921)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39  % (14925)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)
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [4]
% 0.21/0.41  % (14926)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)
% 0.21/0.41  % (14920)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [1]
% 0.21/0.42  TRYING [2]
% 0.21/0.44  TRYING [3]
% 0.21/0.46  TRYING [4]
% 0.21/0.47  TRYING [6]
% 0.21/0.54  TRYING [5]
% 1.46/0.61  % (14926)First to succeed.
% 1.46/0.61  % (14926)Refutation found. Thanks to Tanya!
% 1.46/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.46/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.61  % (14926)------------------------------
% 1.46/0.61  % (14926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.46/0.61  % (14926)Termination reason: Refutation
% 1.46/0.61  
% 1.46/0.61  % (14926)Memory used [KB]: 3599
% 1.46/0.61  % (14926)Time elapsed: 0.211 s
% 1.46/0.61  % (14926)Instructions burned: 454 (million)
% 1.46/0.61  % (14926)------------------------------
% 1.46/0.61  % (14926)------------------------------
% 1.46/0.61  % (14919)Success in time 0.244 s
%------------------------------------------------------------------------------