TSTP Solution File: LCL287-3 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL287-3 : 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 : n006.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 17:47:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   35 (  25 unt;   0 def)
%            Number of atoms       :   47 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  15   ~;  11   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f125,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f124]) ).

fof(f124,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f123]) ).

fof(f123,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f121,f67]) ).

fof(f67,plain,
    ( ! [X0] : theorem(or(not(X0),X0))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl0_3
  <=> ! [X0] : theorem(or(not(X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f121,plain,
    ~ theorem(or(not(not(or(not(p),not(q)))),not(or(not(p),not(q))))),
    inference(resolution,[],[f59,f18]) ).

fof(f18,plain,
    ~ theorem(not(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(q))))),not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(q)))))))),
    inference(definition_unfolding,[],[f11,f12,f9]) ).

fof(f9,axiom,
    ! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).

fof(f12,plain,
    ! [X6,X5] : equivalent(X5,X6) = not(or(not(or(not(X5),X6)),not(or(not(X6),X5)))),
    inference(definition_unfolding,[],[f10,f9,f6,f6]) ).

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

fof(f10,axiom,
    ! [X6,X5] : equivalent(X5,X6) = and(implies(X5,X6),implies(X6,X5)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).

fof(f11,axiom,
    ~ theorem(equivalent(and(p,q),not(or(not(p),not(q))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f59,plain,
    ! [X0] :
      ( theorem(not(or(not(X0),not(X0))))
      | ~ theorem(X0) ),
    inference(resolution,[],[f36,f15]) ).

fof(f15,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    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(f36,plain,
    ! [X10] : theorem(or(X10,not(or(X10,X10)))),
    inference(resolution,[],[f29,f21]) ).

fof(f21,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f17,f7]) ).

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

fof(f17,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(f29,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,X0))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f23,f15]) ).

fof(f23,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f19,f7]) ).

fof(f19,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(f72,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f63,f66]) ).

fof(f63,plain,
    ! [X4] : theorem(or(not(X4),X4)),
    inference(resolution,[],[f48,f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f21,f15]) ).

fof(f48,plain,
    ! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
    inference(resolution,[],[f30,f20]) ).

fof(f20,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f14,f7]) ).

fof(f14,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(f30,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X1,or(X0,X2)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f26,f15]) ).

fof(f26,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f16,f7]) ).

fof(f16,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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL287-3 : 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
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 01:50:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (22730)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (22729)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (22737)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)
% 0.20/0.52  % (22747)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (22746)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)
% 0.20/0.53  % (22745)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)
% 0.20/0.53  % (22739)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (22730)Instruction limit reached!
% 0.20/0.53  % (22730)------------------------------
% 0.20/0.53  % (22730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (22730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (22730)Termination reason: Unknown
% 0.20/0.53  % (22730)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (22730)Memory used [KB]: 5373
% 0.20/0.53  % (22730)Time elapsed: 0.003 s
% 0.20/0.53  % (22730)Instructions burned: 2 (million)
% 0.20/0.53  % (22730)------------------------------
% 0.20/0.53  % (22730)------------------------------
% 0.20/0.53  % (22729)First to succeed.
% 0.20/0.53  % (22738)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)
% 0.20/0.53  % (22729)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (22729)------------------------------
% 0.20/0.53  % (22729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (22729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (22729)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (22729)Memory used [KB]: 5500
% 0.20/0.53  % (22729)Time elapsed: 0.120 s
% 0.20/0.53  % (22729)Instructions burned: 5 (million)
% 0.20/0.53  % (22729)------------------------------
% 0.20/0.53  % (22729)------------------------------
% 0.20/0.53  % (22721)Success in time 0.188 s
%------------------------------------------------------------------------------