TSTP Solution File: LCL133-1 by SnakeForV---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL133-1 : 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 : n017.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      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f106,plain,
    $false,
    inference(subsumption_resolution,[],[f105,f96]) ).

fof(f96,plain,
    ! [X3] : truth = X3,
    inference(forward_demodulation,[],[f93,f28]) ).

fof(f28,plain,
    ! [X6] : implies(X6,X6) = X6,
    inference(forward_demodulation,[],[f27,f9]) ).

fof(f9,plain,
    ! [X0] : implies(X0,truth) = X0,
    inference(superposition,[],[f5,f1]) ).

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

fof(f5,axiom,
    ! [X0,X1] : implies(X0,X1) = implies(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent) ).

fof(f27,plain,
    ! [X6] : implies(X6,truth) = implies(X6,X6),
    inference(forward_demodulation,[],[f23,f1]) ).

fof(f23,plain,
    ! [X6] : implies(X6,truth) = implies(X6,implies(truth,X6)),
    inference(superposition,[],[f7,f9]) ).

fof(f7,plain,
    ! [X0,X1] : implies(implies(X1,X0),X0) = implies(X1,implies(X0,X1)),
    inference(backward_demodulation,[],[f3,f5]) ).

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(f93,plain,
    ! [X3] : truth = implies(X3,X3),
    inference(backward_demodulation,[],[f59,f81]) ).

fof(f81,plain,
    ! [X8] : not(X8) = X8,
    inference(forward_demodulation,[],[f80,f28]) ).

fof(f80,plain,
    ! [X8] : implies(not(X8),not(X8)) = X8,
    inference(forward_demodulation,[],[f79,f9]) ).

fof(f79,plain,
    ! [X8] : implies(not(X8),not(X8)) = implies(X8,truth),
    inference(forward_demodulation,[],[f66,f1]) ).

fof(f66,plain,
    ! [X8] : implies(not(X8),not(X8)) = implies(truth,implies(X8,truth)),
    inference(superposition,[],[f54,f1]) ).

fof(f54,plain,
    ! [X0,X1] : implies(not(X0),not(implies(X1,X0))) = implies(X1,implies(X0,X1)),
    inference(backward_demodulation,[],[f7,f52]) ).

fof(f52,plain,
    ! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,plain,
    ! [X0,X1] : implies(not(X0),not(X1)) = implies(truth,implies(X1,X0)),
    inference(forward_demodulation,[],[f50,f9]) ).

fof(f50,plain,
    ! [X0,X1] : implies(truth,implies(X1,X0)) = implies(implies(not(X0),not(X1)),truth),
    inference(forward_demodulation,[],[f47,f46]) ).

fof(f46,plain,
    ! [X4,X5] : truth = implies(implies(X5,X4),implies(not(X4),not(X5))),
    inference(superposition,[],[f4,f5]) ).

fof(f4,axiom,
    ! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).

fof(f47,plain,
    ! [X0,X1] : implies(truth,implies(X1,X0)) = implies(implies(not(X0),not(X1)),implies(implies(X1,X0),implies(not(X0),not(X1)))),
    inference(superposition,[],[f7,f4]) ).

fof(f59,plain,
    ! [X3] : truth = implies(not(X3),X3),
    inference(forward_demodulation,[],[f58,f28]) ).

fof(f58,plain,
    ! [X3] : truth = implies(not(X3),implies(X3,X3)),
    inference(superposition,[],[f4,f28]) ).

fof(f105,plain,
    truth != x,
    inference(backward_demodulation,[],[f6,f96]) ).

fof(f6,axiom,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL133-1 : 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
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 01:02:05 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (24126)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (24145)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.50  % (24131)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)
% 0.20/0.50  % (24131)First to succeed.
% 0.20/0.50  % (24147)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.50  % (24121)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  % (24137)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.20/0.51  % (24129)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  % (24131)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  % (24131)------------------------------
% 0.20/0.51  % (24131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (24131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (24131)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (24131)Memory used [KB]: 5500
% 0.20/0.51  % (24131)Time elapsed: 0.099 s
% 0.20/0.51  % (24131)Instructions burned: 6 (million)
% 0.20/0.51  % (24131)------------------------------
% 0.20/0.51  % (24131)------------------------------
% 0.20/0.51  % (24119)Success in time 0.157 s
%------------------------------------------------------------------------------