TSTP Solution File: GRP703-12 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP703-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n026.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 : Wed Aug 31 16:18:21 EDT 2022

% Result   : Unsatisfiable 0.10s 0.37s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f217,plain,
    $false,
    inference(subsumption_resolution,[],[f216,f111]) ).

fof(f111,plain,
    ! [X0,X1] : mult(mult(X0,op_d),X1) = mult(X0,mult(op_d,X1)),
    inference(forward_demodulation,[],[f10,f36]) ).

fof(f36,plain,
    op_c = op_d,
    inference(superposition,[],[f11,f2]) ).

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

fof(f11,axiom,
    ! [X0] : op_d = ld(X0,mult(op_c,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).

fof(f10,axiom,
    ! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_c),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).

fof(f216,plain,
    mult(mult(x2,op_d),x3) != mult(x2,mult(op_d,x3)),
    inference(backward_demodulation,[],[f14,f197]) ).

fof(f197,plain,
    op_d = op_e,
    inference(forward_demodulation,[],[f196,f3]) ).

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

fof(f196,plain,
    ! [X14] : op_e = mult(rd(op_d,X14),X14),
    inference(forward_demodulation,[],[f178,f5]) ).

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

fof(f178,plain,
    ! [X14] : op_e = mult(mult(rd(op_d,X14),X14),unit),
    inference(superposition,[],[f112,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).

fof(f112,plain,
    ! [X0,X1] : op_e = mult(mult(rd(op_d,mult(X0,X1)),X1),X0),
    inference(forward_demodulation,[],[f12,f36]) ).

fof(f12,axiom,
    ! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f12) ).

fof(f14,axiom,
    mult(x2,mult(op_e,x3)) != mult(mult(x2,op_e),x3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : GRP703-12 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.06/0.26  % Computer : n026.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit   : 300
% 0.06/0.26  % WCLimit    : 300
% 0.06/0.26  % DateTime   : Mon Aug 29 23:00:35 EDT 2022
% 0.06/0.26  % CPUTime    : 
% 0.10/0.35  % (32381)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.10/0.35  % (32398)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.10/0.35  % (32385)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.10/0.35  % (32391)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/212Mi)
% 0.10/0.36  % (32376)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.10/0.36  % (32386)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.10/0.36  % (32388)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/292Mi)
% 0.10/0.36  % (32383)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.10/0.37  % (32391)First to succeed.
% 0.10/0.37  % (32390)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/321Mi)
% 0.10/0.37  % (32384)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.10/0.37  % (32387)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.10/0.37  % (32391)Refutation found. Thanks to Tanya!
% 0.10/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.10/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.37  % (32391)------------------------------
% 0.10/0.37  % (32391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.37  % (32391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.37  % (32391)Termination reason: Refutation
% 0.10/0.37  
% 0.10/0.37  % (32391)Memory used [KB]: 5628
% 0.10/0.37  % (32391)Time elapsed: 0.042 s
% 0.10/0.37  % (32391)Instructions burned: 10 (million)
% 0.10/0.37  % (32391)------------------------------
% 0.10/0.37  % (32391)------------------------------
% 0.10/0.37  % (32375)Success in time 0.11 s
%------------------------------------------------------------------------------