TSTP Solution File: GRP544-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n003.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 16:16:30 EDT 2022

% Result   : Unsatisfiable 1.28s 0.54s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   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   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f381,plain,
    $false,
    inference(trivial_inequality_removal,[],[f380]) ).

fof(f380,plain,
    divide(a,divide(identity,b)) != divide(a,divide(identity,b)),
    inference(superposition,[],[f6,f96]) ).

fof(f96,plain,
    ! [X4,X5] : divide(X5,divide(identity,X4)) = divide(X4,divide(identity,X5)),
    inference(superposition,[],[f25,f29]) ).

fof(f29,plain,
    ! [X3,X4] : divide(X3,divide(X3,X4)) = X4,
    inference(backward_demodulation,[],[f10,f27]) ).

fof(f27,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(forward_demodulation,[],[f19,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f19,plain,
    ! [X0] : divide(divide(identity,identity),divide(identity,X0)) = X0,
    inference(superposition,[],[f10,f4]) ).

fof(f10,plain,
    ! [X3,X4] : divide(divide(identity,divide(identity,X3)),divide(X3,X4)) = X4,
    inference(superposition,[],[f1,f4]) ).

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

fof(f25,plain,
    ! [X0,X1] : divide(X0,X1) = divide(divide(identity,X1),divide(identity,X0)),
    inference(superposition,[],[f7,f10]) ).

fof(f7,plain,
    ! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
    inference(superposition,[],[f1,f4]) ).

fof(f6,plain,
    divide(b,divide(identity,a)) != divide(a,divide(identity,b)),
    inference(definition_unfolding,[],[f5,f2,f2]) ).

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

fof(f5,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n003.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   : Mon Aug 29 22:33:22 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.51  % (9074)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)
% 0.21/0.51  % (9082)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)
% 0.21/0.52  % (9095)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.21/0.52  % (9081)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 1.28/0.53  % (9082)First to succeed.
% 1.28/0.53  % (9070)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.28/0.53  % (9071)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 (2999ds/48Mi)
% 1.28/0.53  % (9074)Instruction limit reached!
% 1.28/0.53  % (9074)------------------------------
% 1.28/0.53  % (9074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53  % (9074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53  % (9074)Termination reason: Unknown
% 1.28/0.53  % (9074)Termination phase: Saturation
% 1.28/0.53  
% 1.28/0.53  % (9074)Memory used [KB]: 5500
% 1.28/0.53  % (9074)Time elapsed: 0.115 s
% 1.28/0.53  % (9074)Instructions burned: 9 (million)
% 1.28/0.53  % (9074)------------------------------
% 1.28/0.53  % (9074)------------------------------
% 1.28/0.53  % (9090)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)
% 1.28/0.53  % (9079)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 (2999ds/48Mi)
% 1.28/0.54  % (9082)Refutation found. Thanks to Tanya!
% 1.28/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.28/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.54  % (9082)------------------------------
% 1.28/0.54  % (9082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (9082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (9082)Termination reason: Refutation
% 1.28/0.54  
% 1.28/0.54  % (9082)Memory used [KB]: 5628
% 1.28/0.54  % (9082)Time elapsed: 0.114 s
% 1.28/0.54  % (9082)Instructions burned: 15 (million)
% 1.28/0.54  % (9082)------------------------------
% 1.28/0.54  % (9082)------------------------------
% 1.28/0.54  % (9062)Success in time 0.174 s
%------------------------------------------------------------------------------