TSTP Solution File: SYN680-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN680-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n028.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 19:39:15 EDT 2022

% Result   : Unsatisfiable 1.69s 0.57s
% Output   : Refutation 1.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   42 (  24 unt;   0 def)
%            Number of atoms       :   65 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  22   ~;  20   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1008,plain,
    $false,
    inference(avatar_sat_refutation,[],[f992,f995,f997,f1007]) ).

fof(f1007,plain,
    ~ spl30_70,
    inference(avatar_contradiction_clause,[],[f1004]) ).

fof(f1004,plain,
    ( $false
    | ~ spl30_70 ),
    inference(resolution,[],[f1000,f115]) ).

fof(f115,plain,
    ~ p2(sF12,sF13),
    inference(superposition,[],[f81,f112]) ).

fof(f112,plain,
    sF13 = sF18(sF12),
    inference(superposition,[],[f71,f80]) ).

fof(f80,plain,
    ! [X10] : sF18(X10) = f18(X10,sF3),
    introduced(function_definition,[]) ).

fof(f71,plain,
    sF13 = f18(sF12,sF3),
    introduced(function_definition,[]) ).

fof(f81,plain,
    ! [X10] : ~ p2(X10,sF18(X10)),
    inference(definition_folding,[],[f19,f80,f59,f58]) ).

fof(f58,plain,
    f17(c31) = sF2,
    introduced(function_definition,[]) ).

fof(f59,plain,
    sF3 = f9(sF2),
    introduced(function_definition,[]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f18(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).

fof(f1000,plain,
    ( p2(sF12,sF13)
    | ~ spl30_70 ),
    inference(resolution,[],[f998,f782]) ).

fof(f782,plain,
    ! [X23] :
      ( ~ p2(sF8,X23)
      | p2(X23,sF13) ),
    inference(resolution,[],[f31,f72]) ).

fof(f72,plain,
    p2(sF8,sF13),
    inference(definition_folding,[],[f39,f71,f59,f58,f70,f56,f65,f64]) ).

fof(f64,plain,
    f4(c32) = sF7,
    introduced(function_definition,[]) ).

fof(f65,plain,
    f11(sF7,c34) = sF8,
    introduced(function_definition,[]) ).

fof(f56,plain,
    f4(c33) = sF0,
    introduced(function_definition,[]) ).

fof(f70,plain,
    f11(sF0,c34) = sF12,
    introduced(function_definition,[]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).

fof(f31,axiom,
    ! [X34,X5,X33] :
      ( ~ p2(X5,X34)
      | ~ p2(X5,X33)
      | p2(X33,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_31) ).

fof(f998,plain,
    ( p2(sF8,sF12)
    | ~ spl30_70 ),
    inference(resolution,[],[f957,f771]) ).

fof(f771,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f31,f7]) ).

fof(f7,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

fof(f957,plain,
    ( p2(sF12,sF8)
    | ~ spl30_70 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f955,plain,
    ( spl30_70
  <=> p2(sF12,sF8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_70])]) ).

fof(f997,plain,
    spl30_68,
    inference(avatar_contradiction_clause,[],[f996]) ).

fof(f996,plain,
    ( $false
    | spl30_68 ),
    inference(resolution,[],[f949,f14]) ).

fof(f14,axiom,
    p25(c32,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_14) ).

fof(f949,plain,
    ( ~ p25(c32,c33)
    | spl30_68 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f947,plain,
    ( spl30_68
  <=> p25(c32,c33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_68])]) ).

fof(f995,plain,
    spl30_76,
    inference(avatar_contradiction_clause,[],[f994]) ).

fof(f994,plain,
    ( $false
    | spl30_76 ),
    inference(resolution,[],[f991,f12]) ).

fof(f12,axiom,
    p25(c33,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).

fof(f991,plain,
    ( ~ p25(c33,c36)
    | spl30_76 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f989,plain,
    ( spl30_76
  <=> p25(c33,c36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_76])]) ).

fof(f992,plain,
    ( spl30_70
    | ~ spl30_68
    | ~ spl30_76 ),
    inference(avatar_split_clause,[],[f974,f989,f947,f955]) ).

fof(f974,plain,
    ( ~ p25(c33,c36)
    | ~ p25(c32,c33)
    | p2(sF12,sF8) ),
    inference(superposition,[],[f85,f127]) ).

fof(f127,plain,
    sF12 = sF17(c33),
    inference(forward_demodulation,[],[f117,f70]) ).

fof(f117,plain,
    f11(sF0,c34) = sF17(c33),
    inference(superposition,[],[f78,f56]) ).

fof(f78,plain,
    ! [X81] : f11(f4(X81),c34) = sF17(X81),
    introduced(function_definition,[]) ).

fof(f85,plain,
    ! [X82] :
      ( p2(sF17(X82),sF8)
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    inference(definition_folding,[],[f51,f65,f64,f78]) ).

fof(f51,axiom,
    ! [X82] :
      ( p2(f11(f4(X82),c34),f11(f4(c32),c34))
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_51) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN680-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 22:24:34 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.52  % (26767)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52  % (26763)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (26763)Instruction limit reached!
% 0.21/0.52  % (26763)------------------------------
% 0.21/0.52  % (26763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (26763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (26763)Termination reason: Unknown
% 0.21/0.52  % (26763)Termination phase: Blocked clause elimination
% 0.21/0.52  
% 0.21/0.52  % (26763)Memory used [KB]: 895
% 0.21/0.52  % (26763)Time elapsed: 0.002 s
% 0.21/0.52  % (26763)Instructions burned: 2 (million)
% 0.21/0.52  % (26763)------------------------------
% 0.21/0.52  % (26763)------------------------------
% 0.21/0.52  % (26775)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)
% 0.21/0.53  % (26784)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)
% 0.21/0.53  % (26781)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)
% 0.21/0.53  % (26782)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)
% 0.21/0.53  % (26759)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)
% 0.21/0.53  % (26757)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)
% 0.21/0.53  % (26783)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53  % (26758)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (26764)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)
% 0.21/0.54  % (26762)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (26762)Instruction limit reached!
% 0.21/0.54  % (26762)------------------------------
% 0.21/0.54  % (26762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (26762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (26762)Termination reason: Unknown
% 0.21/0.54  % (26762)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (26762)Memory used [KB]: 5500
% 0.21/0.54  % (26762)Time elapsed: 0.136 s
% 0.21/0.54  % (26762)Instructions burned: 8 (million)
% 0.21/0.54  % (26762)------------------------------
% 0.21/0.54  % (26762)------------------------------
% 0.21/0.54  % (26768)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54  % (26772)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54  % (26765)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (26766)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)
% 0.21/0.55  % (26770)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)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  % (26756)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)
% 0.21/0.55  % (26776)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55  % (26773)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55  % (26779)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55  % (26771)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)
% 1.58/0.55  % (26754)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)
% 1.58/0.55  % (26774)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)
% 1.58/0.55  % (26755)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)
% 1.58/0.55  % (26777)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)
% 1.58/0.55  TRYING [1]
% 1.58/0.55  % (26755)Refutation not found, incomplete strategy% (26755)------------------------------
% 1.58/0.55  % (26755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (26755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (26755)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.55  
% 1.58/0.55  % (26755)Memory used [KB]: 5500
% 1.58/0.55  % (26755)Time elapsed: 0.155 s
% 1.58/0.55  % (26755)Instructions burned: 4 (million)
% 1.58/0.55  % (26755)------------------------------
% 1.58/0.55  % (26755)------------------------------
% 1.58/0.55  TRYING [2]
% 1.58/0.56  TRYING [3]
% 1.58/0.56  % (26780)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.58/0.56  % (26778)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)
% 1.58/0.56  % (26769)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)
% 1.58/0.57  % (26757)First to succeed.
% 1.69/0.57  % (26757)Refutation found. Thanks to Tanya!
% 1.69/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.69/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.57  % (26757)------------------------------
% 1.69/0.57  % (26757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (26757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (26757)Termination reason: Refutation
% 1.69/0.57  
% 1.69/0.57  % (26757)Memory used [KB]: 6012
% 1.69/0.57  % (26757)Time elapsed: 0.170 s
% 1.69/0.57  % (26757)Instructions burned: 22 (million)
% 1.69/0.57  % (26757)------------------------------
% 1.69/0.57  % (26757)------------------------------
% 1.69/0.57  % (26749)Success in time 0.215 s
%------------------------------------------------------------------------------