TSTP Solution File: GRP581-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP581-1 : 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 : n009.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 16:16:35 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   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   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f21,f8]) ).

fof(f8,plain,
    identity != double_divide(identity,identity),
    inference(forward_demodulation,[],[f7,f6]) ).

fof(f6,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

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

fof(f7,plain,
    identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
    inference(definition_unfolding,[],[f5,f2,f3]) ).

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

fof(f5,axiom,
    identity != multiply(inverse(a1),a1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).

fof(f21,plain,
    identity = double_divide(identity,identity),
    inference(forward_demodulation,[],[f20,f6]) ).

fof(f20,plain,
    double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
    inference(forward_demodulation,[],[f14,f6]) ).

fof(f14,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
    inference(superposition,[],[f12,f6]) ).

fof(f12,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f6]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP581-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:30:50 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  % (18142)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 (2999ds/37Mi)
% 0.19/0.49  % (18134)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 (2999ds/37Mi)
% 0.19/0.49  % (18133)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.19/0.51  % (18160)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.19/0.51  % (18137)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.51  % (18133)Instruction limit reached!
% 0.19/0.51  % (18133)------------------------------
% 0.19/0.51  % (18133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (18138)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)
% 0.19/0.51  % (18152)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.51  % (18152)First to succeed.
% 0.19/0.51  % (18152)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (18152)------------------------------
% 0.19/0.51  % (18152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (18152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (18152)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (18152)Memory used [KB]: 5500
% 0.19/0.51  % (18152)Time elapsed: 0.129 s
% 0.19/0.51  % (18152)Instructions burned: 2 (million)
% 0.19/0.51  % (18152)------------------------------
% 0.19/0.51  % (18152)------------------------------
% 0.19/0.51  % (18131)Success in time 0.174 s
%------------------------------------------------------------------------------