TSTP Solution File: LCL234-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL234-1 : TPTP v8.1.0. Bugfixed 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 : n018.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 17:47:30 EDT 2022

% Result   : Unsatisfiable 2.23s 0.64s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   45 (  23 unt;   0 def)
%            Number of atoms       :   69 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   49 (  25   ~;  22   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1225,plain,
    $false,
    inference(avatar_sat_refutation,[],[f989,f996,f1224]) ).

fof(f1224,plain,
    ~ spl6_22,
    inference(avatar_contradiction_clause,[],[f1223]) ).

fof(f1223,plain,
    ( $false
    | ~ spl6_22 ),
    inference(subsumption_resolution,[],[f1221,f16]) ).

fof(f16,plain,
    ~ theorem(sF5),
    inference(definition_folding,[],[f9,f15,f14,f13,f12,f11,f10,f11,f10]) ).

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

fof(f11,plain,
    not(q) = sF1,
    introduced(function_definition,[]) ).

fof(f12,plain,
    sF2 = or(sF0,sF1),
    introduced(function_definition,[]) ).

fof(f13,plain,
    not(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f14,plain,
    sF4 = or(sF1,sF3),
    introduced(function_definition,[]) ).

fof(f15,plain,
    or(sF0,sF4) = sF5,
    introduced(function_definition,[]) ).

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

fof(f1221,plain,
    ( theorem(sF5)
    | ~ spl6_22 ),
    inference(resolution,[],[f1206,f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),X3))
      | ~ theorem(X4)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f1206,plain,
    ( theorem(or(sF5,sF5))
    | ~ spl6_22 ),
    inference(resolution,[],[f1200,f481]) ).

fof(f481,plain,
    ! [X2] :
      ( ~ theorem(or(X2,sF4))
      | theorem(or(X2,sF5)) ),
    inference(resolution,[],[f170,f36]) ).

fof(f36,plain,
    ! [X3,X4] :
      ( theorem(or(X4,X3))
      | ~ theorem(X3) ),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f170,plain,
    ! [X0] :
      ( ~ theorem(or(sF0,or(X0,sF4)))
      | theorem(or(X0,sF5)) ),
    inference(resolution,[],[f76,f7]) ).

fof(f76,plain,
    ! [X1] : axiom(or(not(or(sF0,or(X1,sF4))),or(X1,sF5))),
    inference(superposition,[],[f4,f15]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f1200,plain,
    ( theorem(or(sF5,sF4))
    | ~ spl6_22 ),
    inference(resolution,[],[f487,f1008]) ).

fof(f1008,plain,
    ( theorem(or(sF5,sF3))
    | ~ spl6_22 ),
    inference(resolution,[],[f513,f35]) ).

fof(f35,plain,
    ! [X2,X1] :
      ( ~ theorem(or(X1,X2))
      | theorem(or(X2,X1)) ),
    inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f513,plain,
    ( theorem(or(sF3,sF5))
    | ~ spl6_22 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl6_22
  <=> theorem(or(sF3,sF5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).

fof(f487,plain,
    ! [X2] :
      ( ~ theorem(or(X2,sF3))
      | theorem(or(X2,sF4)) ),
    inference(resolution,[],[f173,f36]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ theorem(or(sF1,or(X0,sF3)))
      | theorem(or(X0,sF4)) ),
    inference(resolution,[],[f77,f7]) ).

fof(f77,plain,
    ! [X2] : axiom(or(not(or(sF1,or(X2,sF3))),or(X2,sF4))),
    inference(superposition,[],[f4,f14]) ).

fof(f996,plain,
    spl6_23,
    inference(avatar_split_clause,[],[f977,f515]) ).

fof(f515,plain,
    ( spl6_23
  <=> theorem(or(not(sF1),sF4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).

fof(f977,plain,
    theorem(or(not(sF1),sF4)),
    inference(superposition,[],[f922,f14]) ).

fof(f922,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
    inference(resolution,[],[f146,f2]) ).

fof(f146,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,X2)))
      | theorem(or(not(X0),or(X2,X1))) ),
    inference(resolution,[],[f25,f8]) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( ~ theorem(or(not(X4),X5))
      | ~ axiom(or(not(X3),X4))
      | theorem(or(not(X3),X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).

fof(f25,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f3,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f989,plain,
    ( ~ spl6_23
    | spl6_22 ),
    inference(avatar_split_clause,[],[f591,f511,f515]) ).

fof(f591,plain,
    ( theorem(or(sF3,sF5))
    | ~ theorem(or(not(sF1),sF4)) ),
    inference(superposition,[],[f188,f15]) ).

fof(f188,plain,
    ! [X0] :
      ( theorem(or(sF3,or(sF0,X0)))
      | ~ theorem(or(not(sF1),X0)) ),
    inference(resolution,[],[f89,f7]) ).

fof(f89,plain,
    ! [X0] : axiom(or(not(or(not(sF1),X0)),or(sF3,or(sF0,X0)))),
    inference(forward_demodulation,[],[f83,f13]) ).

fof(f83,plain,
    ! [X0] : axiom(or(not(or(not(sF1),X0)),or(not(sF2),or(sF0,X0)))),
    inference(superposition,[],[f5,f12]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : LCL234-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n018.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 01:50:40 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.47  % (10544)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.47  % (10559)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)
% 0.16/0.47  % (10543)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.47  % (10542)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48  % (10551)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)
% 0.16/0.48  % (10550)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)
% 0.16/0.48  TRYING [1]
% 0.16/0.48  TRYING [2]
% 0.16/0.48  % (10543)Instruction limit reached!
% 0.16/0.48  % (10543)------------------------------
% 0.16/0.48  % (10543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (10544)Instruction limit reached!
% 0.16/0.48  % (10544)------------------------------
% 0.16/0.48  % (10544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (10544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (10544)Termination reason: Unknown
% 0.16/0.48  % (10544)Termination phase: Saturation
% 0.16/0.48  
% 0.16/0.48  % (10544)Memory used [KB]: 5373
% 0.16/0.48  % (10544)Time elapsed: 0.103 s
% 0.16/0.48  % (10544)Instructions burned: 2 (million)
% 0.16/0.48  % (10544)------------------------------
% 0.16/0.48  % (10544)------------------------------
% 0.16/0.48  TRYING [3]
% 0.16/0.49  % (10558)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)
% 0.16/0.49  % (10552)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)
% 0.16/0.49  % (10560)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.49  % (10543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (10543)Termination reason: Unknown
% 0.16/0.50  % (10543)Termination phase: Saturation
% 0.16/0.50  
% 0.16/0.50  % (10543)Memory used [KB]: 5373
% 0.16/0.50  % (10543)Time elapsed: 0.106 s
% 0.16/0.50  % (10543)Instructions burned: 7 (million)
% 0.16/0.50  % (10543)------------------------------
% 0.16/0.50  % (10543)------------------------------
% 0.16/0.52  % (10546)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.52  % (10548)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.52  % (10547)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)
% 0.16/0.52  % (10557)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.53  % (10540)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53  % (10541)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)
% 0.16/0.53  % (10539)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)
% 0.16/0.53  TRYING [4]
% 0.16/0.53  % (10538)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)
% 0.16/0.54  % (10564)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.54  % (10563)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)
% 0.16/0.54  % (10565)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)
% 0.16/0.54  % (10554)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.54  % (10556)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)
% 0.16/0.54  % (10542)Instruction limit reached!
% 0.16/0.54  % (10542)------------------------------
% 0.16/0.54  % (10542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54  % (10555)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 (2999ds/100Mi)
% 0.16/0.55  % (10549)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.55  % (10542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (10542)Termination reason: Unknown
% 0.16/0.55  % (10542)Termination phase: Finite model building SAT solving
% 0.16/0.55  
% 0.16/0.55  % (10542)Memory used [KB]: 6908
% 0.16/0.55  % (10542)Time elapsed: 0.162 s
% 0.16/0.55  % (10542)Instructions burned: 52 (million)
% 0.16/0.55  % (10542)------------------------------
% 0.16/0.55  % (10542)------------------------------
% 0.16/0.55  % (10562)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)
% 0.16/0.59  % (10561)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.59  % (10553)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.59  TRYING [1]
% 0.16/0.59  TRYING [2]
% 0.16/0.60  % (10550)Instruction limit reached!
% 0.16/0.60  % (10550)------------------------------
% 0.16/0.60  % (10550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60  % (10550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60  % (10550)Termination reason: Unknown
% 0.16/0.60  % (10550)Termination phase: Saturation
% 0.16/0.60  
% 0.16/0.60  % (10550)Memory used [KB]: 6012
% 0.16/0.60  % (10550)Time elapsed: 0.064 s
% 0.16/0.60  % (10550)Instructions burned: 68 (million)
% 0.16/0.60  % (10550)------------------------------
% 0.16/0.60  % (10550)------------------------------
% 0.16/0.61  % (10537)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)
% 0.16/0.61  % (10545)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 (2999ds/51Mi)
% 0.16/0.61  % (10560)First to succeed.
% 0.16/0.62  TRYING [3]
% 0.16/0.63  % (10537)Refutation not found, incomplete strategy% (10537)------------------------------
% 0.16/0.63  % (10537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.63  % (10537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.63  % (10537)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.63  
% 0.16/0.63  % (10537)Memory used [KB]: 5373
% 0.16/0.63  % (10537)Time elapsed: 0.220 s
% 0.16/0.63  % (10537)Instructions burned: 2 (million)
% 0.16/0.63  % (10537)------------------------------
% 0.16/0.63  % (10537)------------------------------
% 2.23/0.64  % (10560)Refutation found. Thanks to Tanya!
% 2.23/0.64  % SZS status Unsatisfiable for theBenchmark
% 2.23/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.64  % (10560)------------------------------
% 2.23/0.64  % (10560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64  % (10560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64  % (10560)Termination reason: Refutation
% 2.23/0.64  
% 2.23/0.64  % (10560)Memory used [KB]: 6524
% 2.23/0.64  % (10560)Time elapsed: 0.218 s
% 2.23/0.64  % (10560)Instructions burned: 63 (million)
% 2.23/0.64  % (10560)------------------------------
% 2.23/0.64  % (10560)------------------------------
% 2.23/0.64  % (10535)Success in time 0.31 s
%------------------------------------------------------------------------------