TSTP Solution File: GRP656-10 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP656-10 : 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 : n024.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 16:18:01 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   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   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f375,plain,
    $false,
    inference(trivial_inequality_removal,[],[f337]) ).

fof(f337,plain,
    ! [X17] : tuple(x1(rd(X17,X17)),x1_2(rd(X17,X17))) != tuple(x1(rd(X17,X17)),x1_2(rd(X17,X17))),
    inference(backward_demodulation,[],[f228,f226]) ).

fof(f226,plain,
    ! [X11,X12] : mult(X11,rd(X12,X12)) = X11,
    inference(superposition,[],[f1,f143]) ).

fof(f143,plain,
    ! [X8,X9] : rd(X9,X9) = ld(X8,X8),
    inference(superposition,[],[f4,f131]) ).

fof(f131,plain,
    ! [X3,X4] : mult(ld(X4,X4),X3) = X3,
    inference(superposition,[],[f30,f2]) ).

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

fof(f30,plain,
    ! [X10,X11,X12] : mult(ld(X11,X12),X10) = ld(mult(X10,X11),mult(mult(X10,X12),X10)),
    inference(superposition,[],[f2,f13]) ).

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

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

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

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

fof(f228,plain,
    ! [X17] : tuple(x1(rd(X17,X17)),x1_2(rd(X17,X17))) != tuple(x1(rd(X17,X17)),mult(x1_2(rd(X17,X17)),rd(X17,X17))),
    inference(superposition,[],[f160,f143]) ).

fof(f160,plain,
    ! [X57] : tuple(x1(ld(X57,X57)),x1_2(ld(X57,X57))) != tuple(x1(ld(X57,X57)),mult(x1_2(ld(X57,X57)),ld(X57,X57))),
    inference(superposition,[],[f6,f131]) ).

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
% 0.10/0.12  % Problem    : GRP656-10 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:45:04 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.43  % (14862)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 0.19/0.44  % (14854)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)
% 0.19/0.46  % (14845)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.19/0.47  % (14862)First to succeed.
% 0.19/0.47  % (14862)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (14862)------------------------------
% 0.19/0.47  % (14862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (14862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (14862)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (14862)Memory used [KB]: 5884
% 0.19/0.47  % (14862)Time elapsed: 0.053 s
% 0.19/0.47  % (14862)Instructions burned: 20 (million)
% 0.19/0.47  % (14862)------------------------------
% 0.19/0.47  % (14862)------------------------------
% 0.19/0.47  % (14836)Success in time 0.13 s
%------------------------------------------------------------------------------