TSTP Solution File: LCL217-3 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL217-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n008.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 17:47:22 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   55 (  43 unt;   0 def)
%            Number of atoms       :   69 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  17   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f685,plain,
    $false,
    inference(subsumption_resolution,[],[f683,f25]) ).

fof(f25,plain,
    ~ theorem(sF7),
    inference(definition_folding,[],[f12,f24,f23,f17,f22,f21,f20,f17,f19,f18,f17]) ).

fof(f18,plain,
    sF1 = or(sF0,q),
    introduced(function_definition,[]) ).

fof(f19,plain,
    sF2 = not(sF1),
    introduced(function_definition,[]) ).

fof(f20,plain,
    not(q) = sF3,
    introduced(function_definition,[]) ).

fof(f21,plain,
    or(sF0,sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f22,plain,
    sF5 = not(sF4),
    introduced(function_definition,[]) ).

fof(f17,plain,
    not(p) = sF0,
    introduced(function_definition,[]) ).

fof(f23,plain,
    sF6 = or(sF5,sF0),
    introduced(function_definition,[]) ).

fof(f24,plain,
    sF7 = or(sF2,sF6),
    introduced(function_definition,[]) ).

fof(f12,plain,
    ~ theorem(or(not(or(not(p),q)),or(not(or(not(p),not(q))),not(p)))),
    inference(definition_unfolding,[],[f9,f6,f6,f6,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f9,axiom,
    ~ theorem(implies(implies(p,q),implies(implies(p,not(q)),not(p)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f683,plain,
    theorem(sF7),
    inference(resolution,[],[f681,f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f37,f14]) ).

fof(f14,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | ~ theorem(X4)
      | theorem(X3) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X3,X4] :
      ( theorem(X3)
      | ~ theorem(implies(X4,X3))
      | ~ theorem(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f37,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f15,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f15,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f681,plain,
    theorem(or(sF7,sF7)),
    inference(resolution,[],[f679,f627]) ).

fof(f627,plain,
    ! [X2] :
      ( ~ theorem(or(X2,sF6))
      | theorem(or(X2,sF7)) ),
    inference(resolution,[],[f618,f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( theorem(or(X1,X0))
      | ~ theorem(X0) ),
    inference(resolution,[],[f26,f14]) ).

fof(f26,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f11,f7]) ).

fof(f11,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f618,plain,
    ! [X0] :
      ( ~ theorem(or(sF2,or(X0,sF6)))
      | theorem(or(X0,sF7)) ),
    inference(resolution,[],[f298,f14]) ).

fof(f298,plain,
    ! [X0] : theorem(or(not(or(sF2,or(X0,sF6))),or(X0,sF7))),
    inference(resolution,[],[f119,f7]) ).

fof(f119,plain,
    ! [X3] : axiom(or(not(or(sF2,or(X3,sF6))),or(X3,sF7))),
    inference(superposition,[],[f10,f24]) ).

fof(f10,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f679,plain,
    theorem(or(sF7,sF6)),
    inference(resolution,[],[f674,f538]) ).

fof(f538,plain,
    ! [X2] :
      ( ~ theorem(or(X2,sF0))
      | theorem(or(X2,sF6)) ),
    inference(resolution,[],[f531,f140]) ).

fof(f531,plain,
    ! [X0] :
      ( ~ theorem(or(sF5,or(X0,sF0)))
      | theorem(or(X0,sF6)) ),
    inference(resolution,[],[f277,f14]) ).

fof(f277,plain,
    ! [X0] : theorem(or(not(or(sF5,or(X0,sF0))),or(X0,sF6))),
    inference(resolution,[],[f118,f7]) ).

fof(f118,plain,
    ! [X2] : axiom(or(not(or(sF5,or(X2,sF0))),or(X2,sF6))),
    inference(superposition,[],[f10,f23]) ).

fof(f674,plain,
    theorem(or(sF7,sF0)),
    inference(resolution,[],[f673,f163]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,X1))
      | theorem(or(X1,X0)) ),
    inference(resolution,[],[f93,f14]) ).

fof(f93,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f16,f7]) ).

fof(f16,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f673,plain,
    theorem(or(sF0,sF7)),
    inference(subsumption_resolution,[],[f669,f536]) ).

fof(f536,plain,
    theorem(or(sF3,sF6)),
    inference(resolution,[],[f531,f121]) ).

fof(f121,plain,
    theorem(or(sF5,or(sF3,sF0))),
    inference(resolution,[],[f102,f7]) ).

fof(f102,plain,
    axiom(or(sF5,or(sF3,sF0))),
    inference(forward_demodulation,[],[f95,f22]) ).

fof(f95,plain,
    axiom(or(not(sF4),or(sF3,sF0))),
    inference(superposition,[],[f16,f21]) ).

fof(f669,plain,
    ( ~ theorem(or(sF3,sF6))
    | theorem(or(sF0,sF7)) ),
    inference(resolution,[],[f621,f618]) ).

fof(f621,plain,
    ! [X0] :
      ( theorem(or(sF2,or(sF0,X0)))
      | ~ theorem(or(sF3,X0)) ),
    inference(resolution,[],[f332,f14]) ).

fof(f332,plain,
    ! [X0] : theorem(or(not(or(sF3,X0)),or(sF2,or(sF0,X0)))),
    inference(resolution,[],[f138,f7]) ).

fof(f138,plain,
    ! [X0] : axiom(or(not(or(sF3,X0)),or(sF2,or(sF0,X0)))),
    inference(forward_demodulation,[],[f137,f20]) ).

fof(f137,plain,
    ! [X0] : axiom(or(not(or(not(q),X0)),or(sF2,or(sF0,X0)))),
    inference(forward_demodulation,[],[f128,f19]) ).

fof(f128,plain,
    ! [X0] : axiom(or(not(or(not(q),X0)),or(not(sF1),or(sF0,X0)))),
    inference(superposition,[],[f13,f18]) ).

fof(f13,plain,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(definition_unfolding,[],[f5,f6,f6,f6]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL217-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13  % 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 : n008.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 01:48:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.48  % (16573)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)
% 0.20/0.48  % (16565)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.48  % (16564)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (16580)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.50  % (16554)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (16551)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)
% 0.20/0.51  % (16551)Refutation not found, incomplete strategy% (16551)------------------------------
% 0.20/0.51  % (16551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (16551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (16551)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (16551)Memory used [KB]: 5373
% 0.20/0.51  % (16551)Time elapsed: 0.120 s
% 0.20/0.51  % (16551)------------------------------
% 0.20/0.51  % (16551)------------------------------
% 0.20/0.51  % (16552)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  % (16553)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)
% 0.20/0.52  % (16562)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (16555)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)
% 0.20/0.52  % (16564)First to succeed.
% 0.20/0.52  % (16564)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (16564)------------------------------
% 0.20/0.52  % (16564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (16564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (16564)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (16564)Memory used [KB]: 5884
% 0.20/0.52  % (16564)Time elapsed: 0.119 s
% 0.20/0.52  % (16564)Instructions burned: 23 (million)
% 0.20/0.52  % (16564)------------------------------
% 0.20/0.52  % (16564)------------------------------
% 0.20/0.52  % (16549)Success in time 0.178 s
%------------------------------------------------------------------------------