%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL132-1 : 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 : n022.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 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f161,plain,
    $false,
    inference(subsumption_resolution,[],[f5,f158]) ).

fof(f158,plain,
    ! [X2] : truth = implies(X2,X2),
    inference(forward_demodulation,[],[f139,f1]) ).

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

fof(f139,plain,
    ! [X2] : truth = implies(implies(truth,X2),X2),
    inference(superposition,[],[f71,f1]) ).

fof(f71,plain,
    ! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
    inference(forward_demodulation,[],[f54,f1]) ).

fof(f54,plain,
    ! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
    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) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : LCL132-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % 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 : n022.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   : Tue Aug 30 01:39:11 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (1603)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)
% 0.19/0.49  % (1603)First to succeed.
% 0.19/0.49  % (1620)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)
% 0.19/0.49  % (1611)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (1621)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)
% 0.19/0.50  % (1613)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)
% 0.19/0.50  % (1603)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (1603)------------------------------
% 0.19/0.50  % (1603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (1603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (1603)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (1603)Memory used [KB]: 5500
% 0.19/0.50  % (1603)Time elapsed: 0.092 s
% 0.19/0.50  % (1603)Instructions burned: 9 (million)
% 0.19/0.50  % (1603)------------------------------
% 0.19/0.50  % (1603)------------------------------
% 0.19/0.50  % (1594)Success in time 0.153 s
%------------------------------------------------------------------------------