TSTP Solution File: GRP485-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP485-1 : 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_sat --cores 0 -t %d %s

% Computer : n010.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 16:22:39 EDT 2022

% Result   : Unsatisfiable 1.85s 0.59s
% Output   : Refutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f347,plain,
    $false,
    inference(subsumption_resolution,[],[f7,f335]) ).

fof(f335,plain,
    ! [X2] : double_divide(double_divide(X2,identity),identity) = X2,
    inference(forward_demodulation,[],[f324,f204]) ).

fof(f204,plain,
    ! [X2] : double_divide(double_divide(identity,X2),identity) = X2,
    inference(backward_demodulation,[],[f27,f196]) ).

fof(f196,plain,
    ! [X6] : double_divide(identity,double_divide(X6,identity)) = X6,
    inference(forward_demodulation,[],[f184,f27]) ).

fof(f184,plain,
    ! [X6] : double_divide(double_divide(identity,double_divide(double_divide(identity,X6),identity)),identity) = double_divide(identity,double_divide(X6,identity)),
    inference(superposition,[],[f27,f29]) ).

fof(f29,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),identity) = double_divide(double_divide(X0,X1),identity),
    inference(superposition,[],[f24,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/sandbox2/benchmark/theBenchmark.p',inverse) ).

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

fof(f24,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),identity) = X2,
    inference(backward_demodulation,[],[f1,f21]) ).

fof(f21,plain,
    identity = double_divide(identity,identity),
    inference(forward_demodulation,[],[f20,f14]) ).

fof(f14,plain,
    identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
    inference(superposition,[],[f8,f6]) ).

fof(f8,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),identity))),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f6]) ).

fof(f20,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
    inference(forward_demodulation,[],[f19,f6]) ).

fof(f19,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)),
    inference(superposition,[],[f1,f14]) ).

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

fof(f27,plain,
    ! [X2] : double_divide(double_divide(identity,double_divide(double_divide(identity,X2),identity)),identity) = X2,
    inference(superposition,[],[f24,f21]) ).

fof(f324,plain,
    ! [X2] : double_divide(double_divide(double_divide(double_divide(identity,X2),identity),identity),identity) = X2,
    inference(superposition,[],[f23,f217]) ).

fof(f217,plain,
    ! [X7] : identity = double_divide(X7,double_divide(double_divide(double_divide(X7,identity),identity),identity)),
    inference(forward_demodulation,[],[f210,f21]) ).

fof(f210,plain,
    ! [X7] : double_divide(identity,identity) = double_divide(X7,double_divide(double_divide(double_divide(X7,identity),identity),identity)),
    inference(superposition,[],[f196,f124]) ).

fof(f124,plain,
    ! [X11,X12] : identity = double_divide(double_divide(X11,double_divide(double_divide(double_divide(X11,identity),X12),identity)),X12),
    inference(superposition,[],[f6,f31]) ).

fof(f31,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),X1),identity)),identity) = X1,
    inference(superposition,[],[f24,f21]) ).

fof(f23,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),identity))),identity) = X1,
    inference(backward_demodulation,[],[f8,f21]) ).

fof(f7,plain,
    a2 != double_divide(double_divide(a2,identity),identity),
    inference(definition_unfolding,[],[f5,f2]) ).

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

fof(f5,axiom,
    a2 != multiply(identity,a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:24:14 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.54  % (23117)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (23119)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (23118)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.55  % (23133)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55  % (23135)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (23134)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55  % (23125)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (23127)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (23119)Instruction limit reached!
% 0.20/0.55  % (23119)------------------------------
% 0.20/0.55  % (23119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (23119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (23119)Termination reason: Unknown
% 0.20/0.55  % (23119)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (23119)Memory used [KB]: 5373
% 0.20/0.55  % (23119)Time elapsed: 0.003 s
% 0.20/0.55  % (23119)Instructions burned: 2 (million)
% 0.20/0.55  % (23119)------------------------------
% 0.20/0.55  % (23119)------------------------------
% 0.20/0.55  TRYING [3]
% 0.20/0.56  % (23126)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56  TRYING [4]
% 0.20/0.56  % (23118)Instruction limit reached!
% 0.20/0.56  % (23118)------------------------------
% 0.20/0.56  % (23118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (23118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (23118)Termination reason: Unknown
% 0.20/0.57  % (23118)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (23118)Memory used [KB]: 5500
% 0.20/0.57  % (23118)Time elapsed: 0.132 s
% 0.20/0.57  % (23118)Instructions burned: 7 (million)
% 0.20/0.57  % (23118)------------------------------
% 0.20/0.57  % (23118)------------------------------
% 0.20/0.57  % (23127)First to succeed.
% 1.85/0.59  % (23127)Refutation found. Thanks to Tanya!
% 1.85/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.85/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.59  % (23127)------------------------------
% 1.85/0.59  % (23127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.59  % (23127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.59  % (23127)Termination reason: Refutation
% 1.85/0.59  
% 1.85/0.59  % (23127)Memory used [KB]: 5628
% 1.85/0.59  % (23127)Time elapsed: 0.156 s
% 1.85/0.59  % (23127)Instructions burned: 17 (million)
% 1.85/0.59  % (23127)------------------------------
% 1.85/0.59  % (23127)------------------------------
% 1.85/0.59  % (23110)Success in time 0.241 s
%------------------------------------------------------------------------------