TSTP Solution File: LCL134-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n025.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 17:39:02 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 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    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f359,plain,
    $false,
    inference(subsumption_resolution,[],[f336,f7]) ).

fof(f7,plain,
    truth != sF0,
    inference(definition_folding,[],[f5,f6]) ).

fof(f6,plain,
    implies(x,truth) = sF0,
    introduced(function_definition,[]) ).

fof(f5,axiom,
    truth != implies(x,truth),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).

fof(f336,plain,
    truth = sF0,
    inference(backward_demodulation,[],[f6,f314]) ).

fof(f314,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(superposition,[],[f120,f256]) ).

fof(f256,plain,
    ! [X0] : truth = implies(implies(X0,truth),truth),
    inference(backward_demodulation,[],[f8,f233]) ).

fof(f233,plain,
    ! [X3] : truth = implies(X3,X3),
    inference(forward_demodulation,[],[f198,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).

fof(f198,plain,
    ! [X3] : truth = implies(truth,implies(X3,X3)),
    inference(superposition,[],[f120,f1]) ).

fof(f8,plain,
    ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).

fof(f120,plain,
    ! [X2,X3] : truth = implies(X2,implies(implies(X2,X3),X3)),
    inference(forward_demodulation,[],[f54,f1]) ).

fof(f54,plain,
    ! [X2,X3] : truth = implies(X2,implies(implies(X2,X3),implies(truth,X3))),
    inference(superposition,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 01:46:59 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (11165)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.48  % (11194)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)
% 0.20/0.49  % (11165)First to succeed.
% 0.20/0.49  % (11182)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)
% 0.20/0.49  % (11166)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)
% 0.20/0.50  % (11173)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (11175)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.51  % (11167)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)
% 0.20/0.51  % (11165)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (11165)------------------------------
% 0.20/0.51  % (11165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (11165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (11165)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (11165)Memory used [KB]: 5628
% 0.20/0.51  % (11165)Time elapsed: 0.100 s
% 0.20/0.51  % (11165)Instructions burned: 15 (million)
% 0.20/0.51  % (11165)------------------------------
% 0.20/0.51  % (11165)------------------------------
% 0.20/0.51  % (11162)Success in time 0.153 s
%------------------------------------------------------------------------------