TSTP Solution File: GRP682-10 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP682-10 : 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 : n023.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 12:08:35 EDT 2024

% Result   : Unsatisfiable 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1977,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1942]) ).

fof(f1942,plain,
    mult(x0,ld(x0,x2)) != mult(x0,ld(x0,x2)),
    inference(superposition,[],[f22,f1820]) ).

fof(f1820,plain,
    ! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
    inference(superposition,[],[f435,f9]) ).

fof(f9,plain,
    ! [X0] : mult(X0,ld(X0,X0)) = X0,
    inference(superposition,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X0] : ld(X0,mult(X0,X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

fof(f3,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

fof(f435,plain,
    ! [X2,X3,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(X0,ld(X0,mult(X2,X3))),
    inference(forward_demodulation,[],[f91,f93]) ).

fof(f93,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
    inference(forward_demodulation,[],[f74,f3]) ).

fof(f74,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
    inference(superposition,[],[f55,f1]) ).

fof(f55,plain,
    ! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
    inference(forward_demodulation,[],[f5,f3]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

fof(f91,plain,
    ! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X2)),X3) = mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))),
    inference(superposition,[],[f55,f3]) ).

fof(f22,plain,
    mult(x0,ld(x0,x2)) != mult(ld(x0,x1),ld(ld(x0,x1),x2)),
    inference(superposition,[],[f21,f3]) ).

fof(f21,plain,
    ld(ld(x0,x1),mult(ld(x0,x1),x2)) != mult(x0,ld(x0,x2)),
    inference(forward_demodulation,[],[f8,f3]) ).

fof(f8,axiom,
    ld(ld(x0,x1),mult(ld(x0,x1),x2)) != ld(x0,mult(x0,x2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP682-10 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n023.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   : Tue Apr 30 04:39:55 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (32416)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (32418)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (32419)WARNING: value z3 for option sas not known
% 0.15/0.38  % (32417)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (32419)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)
% 0.15/0.38  % (32421)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  % (32420)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (32422)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)
% 0.15/0.38  % (32423)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)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [1]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [2]
% 0.22/0.41  TRYING [3]
% 0.22/0.43  TRYING [4]
% 0.22/0.45  % (32419)First to succeed.
% 0.22/0.45  % (32419)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45  % (32419)------------------------------
% 0.22/0.45  % (32419)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.45  % (32419)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (32419)Memory used [KB]: 1610
% 0.22/0.45  % (32419)Time elapsed: 0.069 s
% 0.22/0.45  % (32419)Instructions burned: 108 (million)
% 0.22/0.45  % (32419)------------------------------
% 0.22/0.45  % (32419)------------------------------
% 0.22/0.45  % (32416)Success in time 0.097 s
%------------------------------------------------------------------------------