TSTP Solution File: LCL217-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL217-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n014.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 0.19s 0.58s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   52 (  27 unt;   0 def)
%            Number of atoms       :   78 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   51 (  25   ~;  23   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f546,plain,
    $false,
    inference(avatar_sat_refutation,[],[f531,f535,f543,f545]) ).

fof(f545,plain,
    ~ spl8_1,
    inference(avatar_contradiction_clause,[],[f544]) ).

fof(f544,plain,
    ( $false
    | ~ spl8_1 ),
    inference(resolution,[],[f87,f18]) ).

fof(f18,plain,
    ~ theorem(sF7),
    inference(definition_folding,[],[f9,f17,f16,f10,f15,f14,f13,f10,f12,f11,f10]) ).

fof(f11,plain,
    sF1 = or(sF0,q),
    introduced(function_definition,[]) ).

fof(f12,plain,
    not(sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f13,plain,
    not(q) = sF3,
    introduced(function_definition,[]) ).

fof(f14,plain,
    sF4 = or(sF0,sF3),
    introduced(function_definition,[]) ).

fof(f15,plain,
    sF5 = not(sF4),
    introduced(function_definition,[]) ).

fof(f10,plain,
    not(p) = sF0,
    introduced(function_definition,[]) ).

fof(f16,plain,
    or(sF5,sF0) = sF6,
    introduced(function_definition,[]) ).

fof(f17,plain,
    or(sF2,sF6) = sF7,
    introduced(function_definition,[]) ).

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

fof(f87,plain,
    ( theorem(sF7)
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl8_1
  <=> theorem(sF7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f543,plain,
    ( spl8_1
    | ~ spl8_25 ),
    inference(avatar_split_clause,[],[f541,f528,f85]) ).

fof(f528,plain,
    ( spl8_25
  <=> theorem(or(sF0,sF7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).

fof(f541,plain,
    ( theorem(sF7)
    | ~ spl8_25 ),
    inference(resolution,[],[f539,f69]) ).

fof(f69,plain,
    ! [X2] :
      ( ~ theorem(or(X2,X2))
      | theorem(X2) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).

fof(f539,plain,
    ( theorem(or(sF7,sF7))
    | ~ spl8_25 ),
    inference(resolution,[],[f537,f422]) ).

fof(f422,plain,
    ! [X2] :
      ( ~ theorem(or(X2,sF6))
      | theorem(or(X2,sF7)) ),
    inference(resolution,[],[f417,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( theorem(or(X0,X1))
      | ~ theorem(X1) ),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f417,plain,
    ! [X0] :
      ( ~ theorem(or(sF2,or(X0,sF6)))
      | theorem(or(X0,sF7)) ),
    inference(resolution,[],[f257,f7]) ).

fof(f257,plain,
    ! [X3] : axiom(or(not(or(sF2,or(X3,sF6))),or(X3,sF7))),
    inference(superposition,[],[f4,f17]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f537,plain,
    ( theorem(or(sF7,sF6))
    | ~ spl8_25 ),
    inference(resolution,[],[f536,f380]) ).

fof(f380,plain,
    ! [X2] :
      ( ~ theorem(or(X2,sF0))
      | theorem(or(X2,sF6)) ),
    inference(resolution,[],[f341,f68]) ).

fof(f341,plain,
    ! [X0] :
      ( ~ theorem(or(sF5,or(X0,sF0)))
      | theorem(or(X0,sF6)) ),
    inference(resolution,[],[f256,f7]) ).

fof(f256,plain,
    ! [X2] : axiom(or(not(or(sF5,or(X2,sF0))),or(X2,sF6))),
    inference(superposition,[],[f4,f16]) ).

fof(f536,plain,
    ( theorem(or(sF7,sF0))
    | ~ spl8_25 ),
    inference(resolution,[],[f530,f70]) ).

fof(f70,plain,
    ! [X3,X4] :
      ( ~ theorem(or(X4,X3))
      | theorem(or(X3,X4)) ),
    inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f530,plain,
    ( theorem(or(sF0,sF7))
    | ~ spl8_25 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f535,plain,
    spl8_24,
    inference(avatar_contradiction_clause,[],[f532]) ).

fof(f532,plain,
    ( $false
    | spl8_24 ),
    inference(resolution,[],[f526,f378]) ).

fof(f378,plain,
    theorem(or(sF3,sF6)),
    inference(resolution,[],[f341,f60]) ).

fof(f60,plain,
    theorem(or(sF5,or(sF3,sF0))),
    inference(resolution,[],[f58,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

fof(f58,plain,
    axiom(or(sF5,or(sF3,sF0))),
    inference(forward_demodulation,[],[f51,f15]) ).

fof(f51,plain,
    axiom(or(not(sF4),or(sF3,sF0))),
    inference(superposition,[],[f3,f14]) ).

fof(f526,plain,
    ( ~ theorem(or(sF3,sF6))
    | spl8_24 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f524,plain,
    ( spl8_24
  <=> theorem(or(sF3,sF6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).

fof(f531,plain,
    ( ~ spl8_24
    | spl8_25 ),
    inference(avatar_split_clause,[],[f519,f528,f524]) ).

fof(f519,plain,
    ( theorem(or(sF0,sF7))
    | ~ theorem(or(sF3,sF6)) ),
    inference(resolution,[],[f474,f417]) ).

fof(f474,plain,
    ! [X0] :
      ( theorem(or(sF2,or(sF0,X0)))
      | ~ theorem(or(sF3,X0)) ),
    inference(resolution,[],[f368,f7]) ).

fof(f368,plain,
    ! [X0] : axiom(or(not(or(sF3,X0)),or(sF2,or(sF0,X0)))),
    inference(forward_demodulation,[],[f367,f13]) ).

fof(f367,plain,
    ! [X0] : axiom(or(not(or(not(q),X0)),or(sF2,or(sF0,X0)))),
    inference(forward_demodulation,[],[f358,f12]) ).

fof(f358,plain,
    ! [X0] : axiom(or(not(or(not(q),X0)),or(not(sF1),or(sF0,X0)))),
    inference(superposition,[],[f5,f11]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL217-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % 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 : n014.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 01:46:03 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (28716)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)
% 0.19/0.54  % (28713)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)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (28736)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)
% 0.19/0.55  % (28740)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55  % (28733)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55  % (28737)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.56  % (28716)First to succeed.
% 0.19/0.56  % (28720)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57  % (28721)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57  % (28721)Instruction limit reached!
% 0.19/0.57  % (28721)------------------------------
% 0.19/0.57  % (28721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (28720)Instruction limit reached!
% 0.19/0.58  % (28720)------------------------------
% 0.19/0.58  % (28720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (28720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (28720)Termination reason: Unknown
% 0.19/0.58  % (28720)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (28720)Memory used [KB]: 5373
% 0.19/0.58  % (28720)Time elapsed: 0.086 s
% 0.19/0.58  % (28720)Instructions burned: 8 (million)
% 0.19/0.58  % (28720)------------------------------
% 0.19/0.58  % (28720)------------------------------
% 0.19/0.58  % (28721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (28721)Termination reason: Unknown
% 0.19/0.58  % (28721)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (28721)Memory used [KB]: 5373
% 0.19/0.58  % (28721)Time elapsed: 0.147 s
% 0.19/0.58  % (28721)Instructions burned: 2 (million)
% 0.19/0.58  % (28721)------------------------------
% 0.19/0.58  % (28721)------------------------------
% 0.19/0.58  % (28716)Refutation found. Thanks to Tanya!
% 0.19/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58  % (28716)------------------------------
% 0.19/0.58  % (28716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (28716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (28716)Termination reason: Refutation
% 0.19/0.58  
% 0.19/0.58  % (28716)Memory used [KB]: 5756
% 0.19/0.58  % (28716)Time elapsed: 0.163 s
% 0.19/0.58  % (28716)Instructions burned: 17 (million)
% 0.19/0.58  % (28716)------------------------------
% 0.19/0.58  % (28716)------------------------------
% 0.19/0.58  % (28712)Success in time 0.233 s
%------------------------------------------------------------------------------