TSTP Solution File: GRP491-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP491-1 : 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 : n021.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 16:22:40 EDT 2022

% Result   : Unsatisfiable 1.89s 0.60s
% Output   : Refutation 1.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   38 (  38 unt;   0 def)
%            Number of atoms       :   38 (  37 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   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   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f351,plain,
    $false,
    inference(trivial_inequality_removal,[],[f343]) ).

fof(f343,plain,
    a2 != a2,
    inference(superposition,[],[f308,f171]) ).

fof(f171,plain,
    ! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
    inference(backward_demodulation,[],[f22,f170]) ).

fof(f170,plain,
    ! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
    inference(forward_demodulation,[],[f169,f22]) ).

fof(f169,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))))) = X0,
    inference(forward_demodulation,[],[f150,f132]) ).

fof(f132,plain,
    ! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(identity,X0),identity),
    inference(forward_demodulation,[],[f126,f34]) ).

fof(f34,plain,
    identity = double_divide(identity,identity),
    inference(backward_demodulation,[],[f29,f32]) ).

fof(f32,plain,
    identity = double_divide(double_divide(identity,identity),identity),
    inference(backward_demodulation,[],[f17,f29]) ).

fof(f17,plain,
    identity = double_divide(double_divide(double_divide(identity,identity),identity),identity),
    inference(forward_demodulation,[],[f14,f7]) ).

fof(f7,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(f14,plain,
    double_divide(identity,double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
    inference(superposition,[],[f13,f7]) ).

fof(f13,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = double_divide(double_divide(X0,identity),identity),
    inference(superposition,[],[f1,f7]) ).

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

fof(f29,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
    inference(forward_demodulation,[],[f23,f7]) ).

fof(f23,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
    inference(superposition,[],[f22,f17]) ).

fof(f126,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = double_divide(identity,double_divide(X0,identity)),
    inference(superposition,[],[f1,f58]) ).

fof(f58,plain,
    ! [X3] : identity = double_divide(double_divide(X3,identity),double_divide(double_divide(identity,X3),identity)),
    inference(superposition,[],[f7,f37]) ).

fof(f37,plain,
    ! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X0,identity),identity),
    inference(backward_demodulation,[],[f13,f34]) ).

fof(f150,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),identity)))) = X0,
    inference(backward_demodulation,[],[f82,f132]) ).

fof(f82,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity))) = X0,
    inference(forward_demodulation,[],[f68,f37]) ).

fof(f68,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),identity),identity))) = X0,
    inference(superposition,[],[f35,f7]) ).

fof(f35,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X1,X0)))) = X1,
    inference(backward_demodulation,[],[f8,f34]) ).

fof(f8,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),X0),identity),double_divide(X1,X0)))) = X1,
    inference(superposition,[],[f1,f7]) ).

fof(f22,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
    inference(forward_demodulation,[],[f18,f7]) ).

fof(f18,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
    inference(superposition,[],[f1,f17]) ).

fof(f308,plain,
    a2 != double_divide(identity,double_divide(identity,a2)),
    inference(superposition,[],[f56,f184]) ).

fof(f184,plain,
    ! [X0] : double_divide(identity,X0) = double_divide(X0,identity),
    inference(backward_demodulation,[],[f168,f170]) ).

fof(f168,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(X0,identity)),identity) = double_divide(identity,double_divide(identity,double_divide(X0,identity))),
    inference(forward_demodulation,[],[f167,f132]) ).

fof(f167,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(X0,identity)),identity) = double_divide(identity,double_divide(double_divide(identity,X0),identity)),
    inference(forward_demodulation,[],[f156,f134]) ).

fof(f134,plain,
    ! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(X0,identity),identity),
    inference(backward_demodulation,[],[f37,f132]) ).

fof(f156,plain,
    ! [X0] : double_divide(identity,double_divide(double_divide(identity,X0),identity)) = double_divide(double_divide(double_divide(X0,identity),identity),identity),
    inference(backward_demodulation,[],[f48,f132]) ).

fof(f48,plain,
    ! [X0] : double_divide(double_divide(double_divide(X0,identity),identity),identity) = double_divide(double_divide(identity,double_divide(identity,X0)),identity),
    inference(superposition,[],[f37,f37]) ).

fof(f56,plain,
    a2 != double_divide(double_divide(identity,a2),identity),
    inference(superposition,[],[f6,f37]) ).

fof(f6,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/sandbox/benchmark/theBenchmark.p',multiply) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:28:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.55  % (29169)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.55  % (29163)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.56  % (29172)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.56  TRYING [1]
% 0.19/0.56  TRYING [2]
% 0.19/0.56  TRYING [3]
% 0.19/0.56  % (29171)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.56  % (29171)Instruction limit reached!
% 0.19/0.56  % (29171)------------------------------
% 0.19/0.56  % (29171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (29171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (29171)Termination reason: Unknown
% 0.19/0.56  % (29171)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (29171)Memory used [KB]: 5373
% 0.19/0.56  % (29171)Time elapsed: 0.150 s
% 0.19/0.56  % (29171)Instructions burned: 2 (million)
% 0.19/0.56  % (29171)------------------------------
% 0.19/0.56  % (29171)------------------------------
% 0.19/0.57  TRYING [4]
% 0.19/0.57  TRYING [1]
% 0.19/0.57  TRYING [2]
% 0.19/0.57  TRYING [3]
% 1.73/0.57  % (29164)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.73/0.58  % (29178)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 (3000ds/75Mi)
% 1.73/0.58  % (29172)First to succeed.
% 1.73/0.58  % (29179)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 (3000ds/99Mi)
% 1.73/0.58  % (29186)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 (3000ds/467Mi)
% 1.73/0.58  % (29167)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.73/0.58  % (29185)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 (3000ds/498Mi)
% 1.73/0.59  % (29180)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.73/0.59  % (29173)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.73/0.59  % (29166)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.73/0.59  TRYING [4]
% 1.89/0.59  TRYING [1]
% 1.89/0.59  TRYING [2]
% 1.89/0.59  % (29168)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 1.89/0.59  TRYING [3]
% 1.89/0.60  TRYING [5]
% 1.89/0.60  % (29172)Refutation found. Thanks to Tanya!
% 1.89/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.89/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.89/0.60  % (29172)------------------------------
% 1.89/0.60  % (29172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (29172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (29172)Termination reason: Refutation
% 1.89/0.60  
% 1.89/0.60  % (29172)Memory used [KB]: 1151
% 1.89/0.60  % (29172)Time elapsed: 0.154 s
% 1.89/0.60  % (29172)Instructions burned: 22 (million)
% 1.89/0.60  % (29172)------------------------------
% 1.89/0.60  % (29172)------------------------------
% 1.89/0.60  % (29162)Success in time 0.249 s
%------------------------------------------------------------------------------