TSTP Solution File: LCL135-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL135-1 : 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 : n015.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 1.24s 0.52s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 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    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f301,plain,
    $false,
    inference(subsumption_resolution,[],[f300,f8]) ).

fof(f8,plain,
    truth != sF1,
    inference(definition_folding,[],[f5,f7,f6]) ).

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

fof(f7,plain,
    sF1 = implies(x,sF0),
    introduced(function_definition,[]) ).

fof(f5,axiom,
    truth != implies(x,implies(y,x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).

fof(f300,plain,
    truth = sF1,
    inference(forward_demodulation,[],[f287,f7]) ).

fof(f287,plain,
    truth = implies(x,sF0),
    inference(superposition,[],[f226,f6]) ).

fof(f226,plain,
    ! [X0,X1] : truth = implies(X1,implies(X0,X1)),
    inference(forward_demodulation,[],[f225,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).

fof(f225,plain,
    ! [X0,X1] : truth = implies(implies(truth,X1),implies(X0,X1)),
    inference(forward_demodulation,[],[f208,f1]) ).

fof(f208,plain,
    ! [X0,X1] : truth = implies(truth,implies(implies(truth,X1),implies(X0,X1))),
    inference(superposition,[],[f2,f184]) ).

fof(f184,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(superposition,[],[f83,f159]) ).

fof(f159,plain,
    ! [X0] : truth = implies(implies(X0,truth),truth),
    inference(backward_demodulation,[],[f9,f146]) ).

fof(f146,plain,
    ! [X3] : truth = implies(X3,X3),
    inference(forward_demodulation,[],[f117,f1]) ).

fof(f117,plain,
    ! [X3] : truth = implies(truth,implies(X3,X3)),
    inference(superposition,[],[f83,f1]) ).

fof(f9,plain,
    ! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).

fof(f83,plain,
    ! [X2,X3] : truth = implies(X3,implies(implies(X3,X2),X2)),
    inference(forward_demodulation,[],[f64,f1]) ).

fof(f64,plain,
    ! [X2,X3] : truth = implies(implies(truth,X3),implies(implies(X3,X2),X2)),
    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/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL135-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % 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 : n015.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 01:49:35 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (26404)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.50  % (26412)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)
% 0.20/0.50  % (26434)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)
% 0.20/0.51  % (26425)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.51  % (26404)First to succeed.
% 0.20/0.51  % (26416)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.51  % (26421)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)
% 1.24/0.52  % (26404)Refutation found. Thanks to Tanya!
% 1.24/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.24/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.52  % (26404)------------------------------
% 1.24/0.52  % (26404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.52  % (26404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.52  % (26404)Termination reason: Refutation
% 1.24/0.52  
% 1.24/0.52  % (26404)Memory used [KB]: 5628
% 1.24/0.52  % (26404)Time elapsed: 0.101 s
% 1.24/0.52  % (26404)Instructions burned: 13 (million)
% 1.24/0.52  % (26404)------------------------------
% 1.24/0.52  % (26404)------------------------------
% 1.24/0.52  % (26403)Success in time 0.169 s
%------------------------------------------------------------------------------