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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n020.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 17:47:00 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   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   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f343,plain,
    $false,
    inference(subsumption_resolution,[],[f5,f308]) ).

fof(f308,plain,
    ! [X2,X3] : truth = implies(X2,implies(X3,X2)),
    inference(superposition,[],[f239,f1]) ).

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

fof(f239,plain,
    ! [X0,X1] : truth = implies(truth,implies(X1,implies(X0,X1))),
    inference(forward_demodulation,[],[f220,f1]) ).

fof(f220,plain,
    ! [X0,X1] : truth = implies(truth,implies(implies(truth,X1),implies(X0,X1))),
    inference(superposition,[],[f2,f197]) ).

fof(f197,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(superposition,[],[f73,f162]) ).

fof(f162,plain,
    ! [X0] : truth = implies(implies(X0,truth),truth),
    inference(backward_demodulation,[],[f6,f157]) ).

fof(f157,plain,
    ! [X2] : truth = implies(X2,X2),
    inference(forward_demodulation,[],[f139,f1]) ).

fof(f139,plain,
    ! [X2] : truth = implies(implies(truth,X2),X2),
    inference(superposition,[],[f73,f1]) ).

fof(f6,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(f73,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
    inference(forward_demodulation,[],[f36,f1]) ).

fof(f36,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
    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) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LCL135-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.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 01:40:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (27672)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 (2999ds/48Mi)
% 0.20/0.51  % (27669)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (27680)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (27667)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 (2999ds/191324Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (27668)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (27691)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (27670)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (27673)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)
% 0.20/0.53  % (27672)First to succeed.
% 0.20/0.53  % (27695)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (27690)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)
% 0.20/0.54  % (27677)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (27682)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)
% 0.20/0.54  % (27671)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (27672)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (27672)------------------------------
% 0.20/0.54  % (27672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27672)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (27672)Memory used [KB]: 5628
% 0.20/0.54  % (27672)Time elapsed: 0.126 s
% 0.20/0.54  % (27672)Instructions burned: 16 (million)
% 0.20/0.54  % (27672)------------------------------
% 0.20/0.54  % (27672)------------------------------
% 0.20/0.54  % (27666)Success in time 0.183 s
%------------------------------------------------------------------------------