TSTP Solution File: LCL110-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL110-1 : 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 : n027.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 17:46:54 EDT 2022

% Result   : Unsatisfiable 1.47s 0.56s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  21   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f181,plain,
    $false,
    inference(avatar_sat_refutation,[],[f61,f170,f180]) ).

fof(f180,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f171]) ).

fof(f171,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f169,f6]) ).

fof(f6,axiom,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_24) ).

fof(f169,plain,
    ( ! [X3] : is_a_theorem(implies(not(not(X3)),X3))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl0_6
  <=> ! [X3] : is_a_theorem(implies(not(not(X3)),X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f170,plain,
    ( spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f161,f43,f168]) ).

fof(f43,plain,
    ( spl0_3
  <=> ! [X6] : ~ is_a_theorem(X6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f161,plain,
    ! [X3,X4] :
      ( ~ is_a_theorem(X4)
      | is_a_theorem(implies(not(not(X3)),X3)) ),
    inference(resolution,[],[f126,f36]) ).

fof(f36,plain,
    ! [X24,X25,X23] :
      ( ~ is_a_theorem(implies(X23,implies(X24,X25)))
      | is_a_theorem(implies(X23,X25))
      | ~ is_a_theorem(X24) ),
    inference(resolution,[],[f24,f26]) ).

fof(f26,plain,
    ! [X2,X3] :
      ( is_a_theorem(implies(implies(X2,X3),X3))
      | ~ is_a_theorem(X2) ),
    inference(resolution,[],[f10,f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X1,X0),X0))
      | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_3) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f9,f1]) ).

fof(f9,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_2) ).

fof(f126,plain,
    ! [X2,X3] : is_a_theorem(implies(not(not(X2)),implies(X3,X2))),
    inference(resolution,[],[f94,f30]) ).

fof(f30,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X3,implies(not(X4),not(X5))))
      | is_a_theorem(implies(X3,implies(X5,X4))) ),
    inference(resolution,[],[f24,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_5) ).

fof(f94,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f30,f2]) ).

fof(f61,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f50]) ).

fof(f50,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f44,f5]) ).

fof(f44,plain,
    ( ! [X6] : ~ is_a_theorem(X6)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL110-1 : 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_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n027.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 01:51:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (24268)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 (3000ds/48Mi)
% 0.19/0.50  % (24278)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 (3000ds/68Mi)
% 0.19/0.50  % (24286)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 (3000ds/498Mi)
% 0.19/0.50  % (24279)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 (3000ds/75Mi)
% 0.19/0.51  % (24269)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51  % (24293)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 (3000ds/355Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [3]
% 1.32/0.52  % (24267)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.32/0.52  % (24265)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 (3000ds/37Mi)
% 1.32/0.52  % (24264)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.32/0.52  % (24287)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 (3000ds/467Mi)
% 1.32/0.52  % (24264)Refutation not found, incomplete strategy% (24264)------------------------------
% 1.32/0.52  % (24264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (24264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (24264)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.52  
% 1.32/0.52  % (24264)Memory used [KB]: 5373
% 1.32/0.52  % (24264)Time elapsed: 0.128 s
% 1.32/0.52  % (24264)Instructions burned: 2 (million)
% 1.32/0.52  % (24264)------------------------------
% 1.32/0.52  % (24264)------------------------------
% 1.32/0.52  TRYING [4]
% 1.32/0.52  % (24266)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.32/0.53  % (24263)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 (3000ds/191324Mi)
% 1.32/0.53  TRYING [1]
% 1.32/0.53  TRYING [2]
% 1.32/0.53  TRYING [3]
% 1.32/0.53  % (24282)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.32/0.53  % (24292)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.32/0.53  % (24290)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 (3000ds/68Mi)
% 1.32/0.53  % (24280)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 (3000ds/99Mi)
% 1.32/0.53  % (24285)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.32/0.53  % (24273)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.32/0.53  % (24283)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.32/0.53  % (24274)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.47/0.53  TRYING [4]
% 1.47/0.53  % (24284)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 (3000ds/176Mi)
% 1.47/0.54  % (24272)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.47/0.54  % (24276)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.47/0.54  % (24277)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.47/0.54  % (24288)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.47/0.54  % (24270)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.47/0.54  % (24275)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.47/0.54  % (24289)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.47/0.54  % (24272)Instruction limit reached!
% 1.47/0.54  % (24272)------------------------------
% 1.47/0.54  % (24272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54  % (24281)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.47/0.55  % (24270)Instruction limit reached!
% 1.47/0.55  % (24270)------------------------------
% 1.47/0.55  % (24270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (24291)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 (3000ds/177Mi)
% 1.47/0.55  % (24272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (24272)Termination reason: Unknown
% 1.47/0.55  % (24272)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (24272)Memory used [KB]: 5373
% 1.47/0.55  % (24272)Time elapsed: 0.152 s
% 1.47/0.55  % (24272)Instructions burned: 3 (million)
% 1.47/0.55  % (24272)------------------------------
% 1.47/0.55  % (24272)------------------------------
% 1.47/0.55  % (24270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (24270)Termination reason: Unknown
% 1.47/0.55  % (24270)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (24270)Memory used [KB]: 5500
% 1.47/0.55  % (24270)Time elapsed: 0.152 s
% 1.47/0.55  % (24270)Instructions burned: 7 (million)
% 1.47/0.55  % (24270)------------------------------
% 1.47/0.55  % (24270)------------------------------
% 1.47/0.56  % (24269)Instruction limit reached!
% 1.47/0.56  % (24269)------------------------------
% 1.47/0.56  % (24269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (24269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56  % (24269)Termination reason: Unknown
% 1.47/0.56  % (24269)Termination phase: Finite model building SAT solving
% 1.47/0.56  
% 1.47/0.56  % (24269)Memory used [KB]: 6652
% 1.47/0.56  % (24269)Time elapsed: 0.106 s
% 1.47/0.56  % (24269)Instructions burned: 51 (million)
% 1.47/0.56  % (24269)------------------------------
% 1.47/0.56  % (24269)------------------------------
% 1.47/0.56  % (24274)First to succeed.
% 1.47/0.56  % (24274)Refutation found. Thanks to Tanya!
% 1.47/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.47/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.56  % (24274)------------------------------
% 1.47/0.56  % (24274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (24274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56  % (24274)Termination reason: Refutation
% 1.47/0.56  
% 1.47/0.56  % (24274)Memory used [KB]: 5500
% 1.47/0.56  % (24274)Time elapsed: 0.165 s
% 1.47/0.56  % (24274)Instructions burned: 7 (million)
% 1.47/0.56  % (24274)------------------------------
% 1.47/0.56  % (24274)------------------------------
% 1.47/0.56  % (24260)Success in time 0.207 s
%------------------------------------------------------------------------------