TSTP Solution File: GRP704-12 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP704-12 : 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 : n015.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 1.31s 0.68s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f296,plain,
    $false,
    inference(subsumption_resolution,[],[f295,f10]) ).

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

fof(f295,plain,
    mult(x4,mult(op_c,x5)) != mult(mult(x4,op_c),x5),
    inference(backward_demodulation,[],[f14,f290]) ).

fof(f290,plain,
    op_c = op_f,
    inference(forward_demodulation,[],[f289,f1]) ).

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

fof(f289,plain,
    ! [X14] : op_f = mult(X14,ld(X14,op_c)),
    inference(forward_demodulation,[],[f265,f6]) ).

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

fof(f265,plain,
    ! [X14] : op_f = mult(unit,mult(X14,ld(X14,op_c))),
    inference(superposition,[],[f13,f6]) ).

fof(f13,axiom,
    ! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f13) ).

fof(f14,axiom,
    mult(x4,mult(op_f,x5)) != mult(mult(x4,op_f),x5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 22:58:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
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% 0.63/0.64  % (16118)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 0.63/0.65  % (16128)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/257Mi)
% 0.63/0.65  % (16136)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.31/0.65  % (16116)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.31/0.67  % (16134)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 (2998ds/111Mi)
% 1.31/0.68  % (16126)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 (2998ds/212Mi)
% 1.31/0.68  % (16136)First to succeed.
% 1.31/0.68  % (16136)Refutation found. Thanks to Tanya!
% 1.31/0.68  % SZS status Unsatisfiable for theBenchmark
% 1.31/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.68  % (16136)------------------------------
% 1.31/0.68  % (16136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.68  % (16136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.68  % (16136)Termination reason: Refutation
% 1.31/0.68  
% 1.31/0.68  % (16136)Memory used [KB]: 5756
% 1.31/0.68  % (16136)Time elapsed: 0.090 s
% 1.31/0.68  % (16136)Instructions burned: 14 (million)
% 1.31/0.68  % (16136)------------------------------
% 1.31/0.68  % (16136)------------------------------
% 1.31/0.68  % (15977)Success in time 0.326 s
%------------------------------------------------------------------------------