TSTP Solution File: GRP530-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP530-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n013.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 16:16:28 EDT 2022

% Result   : Unsatisfiable 0.21s 0.60s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 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    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f135,plain,
    $false,
    inference(unit_resulting_resolution,[],[f49,f97]) ).

fof(f97,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f71,f3]) ).

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

fof(f71,plain,
    ! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
    inference(superposition,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f49,plain,
    a2 != inverse(inverse(a2)),
    inference(superposition,[],[f4,f19]) ).

fof(f19,plain,
    ! [X4,X5] : multiply(multiply(inverse(X4),X4),X5) = inverse(inverse(X5)),
    inference(superposition,[],[f5,f8]) ).

fof(f8,plain,
    ! [X0,X1] : inverse(X1) = divide(multiply(inverse(X0),X0),X1),
    inference(superposition,[],[f3,f5]) ).

fof(f5,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(backward_demodulation,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f4,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP530-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:28:17 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.55  % (21413)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.55  % (21412)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56  % (21429)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 (2999ds/111Mi)
% 0.21/0.56  % (21428)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.21/0.56  % (21421)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 (2999ds/212Mi)
% 0.21/0.56  % (21420)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 (2999ds/321Mi)
% 0.21/0.57  % (21412)Instruction limit reached!
% 0.21/0.57  % (21412)------------------------------
% 0.21/0.57  % (21412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (21412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (21412)Termination reason: Unknown
% 0.21/0.59  % (21412)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (21412)Memory used [KB]: 5500
% 0.21/0.59  % (21412)Time elapsed: 0.120 s
% 0.21/0.59  % (21412)Instructions burned: 7 (million)
% 0.21/0.59  % (21412)------------------------------
% 0.21/0.59  % (21412)------------------------------
% 0.21/0.59  % (21420)First to succeed.
% 0.21/0.60  % (21420)Refutation found. Thanks to Tanya!
% 0.21/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.60  % (21420)------------------------------
% 0.21/0.60  % (21420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (21420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (21420)Termination reason: Refutation
% 0.21/0.60  
% 0.21/0.60  % (21420)Memory used [KB]: 5500
% 0.21/0.60  % (21420)Time elapsed: 0.165 s
% 0.21/0.60  % (21420)Instructions burned: 8 (million)
% 0.21/0.60  % (21420)------------------------------
% 0.21/0.60  % (21420)------------------------------
% 0.21/0.60  % (21405)Success in time 0.237 s
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