TSTP Solution File: GRP558-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP558-1 : 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 : n008.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 16:16:32 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   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   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f104,plain,
    $false,
    inference(subsumption_resolution,[],[f88,f26]) ).

fof(f26,plain,
    ! [X8,X7] : divide(inverse(divide(X8,X8)),inverse(X7)) = X7,
    inference(superposition,[],[f21,f11]) ).

fof(f11,plain,
    ! [X0,X1] : divide(X0,inverse(divide(X1,X1))) = X0,
    inference(superposition,[],[f5,f1]) ).

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

fof(f5,plain,
    ! [X2,X3,X0,X1] : divide(X3,inverse(divide(X1,divide(X3,inverse(divide(divide(X1,X2),divide(X0,X2))))))) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f21,plain,
    ! [X18,X16] : divide(X18,inverse(divide(X16,X18))) = X16,
    inference(forward_demodulation,[],[f19,f11]) ).

fof(f19,plain,
    ! [X18,X16,X17] : divide(X18,inverse(divide(X16,divide(X18,inverse(divide(X17,X17)))))) = X16,
    inference(superposition,[],[f1,f11]) ).

fof(f88,plain,
    ! [X32] : a2 != divide(inverse(divide(X32,X32)),inverse(a2)),
    inference(superposition,[],[f4,f56]) ).

fof(f56,plain,
    ! [X11,X12] : divide(X12,X12) = inverse(divide(X11,X11)),
    inference(superposition,[],[f11,f26]) ).

fof(f4,plain,
    a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

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

fof(f3,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP558-1 : 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 : n008.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 22:36:55 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.43  % (27230)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 (3000ds/7Mi)
% 0.18/0.44  % (27240)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 (3000ds/321Mi)
% 0.18/0.45  % (27230)Instruction limit reached!
% 0.18/0.45  % (27230)------------------------------
% 0.18/0.45  % (27230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45  % (27230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45  % (27230)Termination reason: Unknown
% 0.18/0.45  % (27230)Termination phase: Saturation
% 0.18/0.45  
% 0.18/0.45  % (27230)Memory used [KB]: 5500
% 0.18/0.45  % (27230)Time elapsed: 0.078 s
% 0.18/0.45  % (27230)Instructions burned: 7 (million)
% 0.18/0.45  % (27230)------------------------------
% 0.18/0.45  % (27230)------------------------------
% 0.18/0.46  % (27248)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.18/0.46  % (27240)First to succeed.
% 0.18/0.47  % (27240)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (27240)------------------------------
% 0.18/0.47  % (27240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (27240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (27240)Termination reason: Refutation
% 0.18/0.47  
% 0.18/0.47  % (27240)Memory used [KB]: 5628
% 0.18/0.47  % (27240)Time elapsed: 0.093 s
% 0.18/0.47  % (27240)Instructions burned: 7 (million)
% 0.18/0.47  % (27240)------------------------------
% 0.18/0.47  % (27240)------------------------------
% 0.18/0.47  % (27219)Success in time 0.128 s
%------------------------------------------------------------------------------