TSTP Solution File: SYN661-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN661-1 : 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 : n021.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 19:39:12 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   32 (  20 unt;   0 def)
%            Number of atoms       :   48 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  19   ~;  15   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f317,plain,
    $false,
    inference(avatar_sat_refutation,[],[f254,f316]) ).

fof(f316,plain,
    ~ spl21_9,
    inference(avatar_contradiction_clause,[],[f315]) ).

fof(f315,plain,
    ( $false
    | ~ spl21_9 ),
    inference(subsumption_resolution,[],[f313,f88]) ).

fof(f88,plain,
    ~ p2(sF10,sF11),
    inference(superposition,[],[f78,f71]) ).

fof(f71,plain,
    f16(sF10,sF5) = sF11,
    introduced(function_definition,[]) ).

fof(f78,plain,
    ! [X10] : ~ p2(X10,f16(X10,sF5)),
    inference(definition_folding,[],[f19,f61,f60]) ).

fof(f60,plain,
    f17(c31) = sF4,
    introduced(function_definition,[]) ).

fof(f61,plain,
    f9(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).

fof(f313,plain,
    ( p2(sF10,sF11)
    | ~ spl21_9 ),
    inference(resolution,[],[f133,f263]) ).

fof(f263,plain,
    ( p2(sF1,sF10)
    | ~ spl21_9 ),
    inference(resolution,[],[f224,f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f30,f6]) ).

fof(f6,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).

fof(f30,axiom,
    ! [X31,X4,X32] :
      ( ~ p2(X4,X32)
      | ~ p2(X4,X31)
      | p2(X31,X32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_30) ).

fof(f224,plain,
    ( p2(sF10,sF1)
    | ~ spl21_9 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl21_9
  <=> p2(sF10,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).

fof(f133,plain,
    ! [X13] :
      ( ~ p2(sF1,X13)
      | p2(X13,sF11) ),
    inference(resolution,[],[f30,f72]) ).

fof(f72,plain,
    p2(sF1,sF11),
    inference(definition_folding,[],[f40,f71,f61,f60,f70,f69,f56,f55]) ).

fof(f55,plain,
    f4(c32) = sF0,
    introduced(function_definition,[]) ).

fof(f56,plain,
    sF1 = f11(sF0,c34),
    introduced(function_definition,[]) ).

fof(f69,plain,
    f4(c36) = sF9,
    introduced(function_definition,[]) ).

fof(f70,plain,
    sF10 = f11(sF9,c34),
    introduced(function_definition,[]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_40) ).

fof(f254,plain,
    spl21_9,
    inference(avatar_split_clause,[],[f253,f222]) ).

fof(f253,plain,
    p2(sF10,sF1),
    inference(forward_demodulation,[],[f252,f70]) ).

fof(f252,plain,
    p2(f11(sF9,c34),sF1),
    inference(subsumption_resolution,[],[f251,f12]) ).

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

fof(f251,plain,
    ( p2(f11(sF9,c34),sF1)
    | ~ p25(c36,c33) ),
    inference(subsumption_resolution,[],[f232,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_13) ).

fof(f232,plain,
    ( ~ p25(c32,c36)
    | ~ p25(c36,c33)
    | p2(f11(sF9,c34),sF1) ),
    inference(superposition,[],[f66,f69]) ).

fof(f66,plain,
    ! [X81] :
      ( p2(f11(f4(X81),c34),sF1)
      | ~ p25(c32,X81)
      | ~ p25(X81,c33) ),
    inference(definition_folding,[],[f49,f56,f55]) ).

fof(f49,axiom,
    ! [X81] :
      ( ~ p25(c32,X81)
      | ~ p25(X81,c33)
      | p2(f11(f4(X81),c34),f11(f4(c32),c34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_49) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN661-1 : TPTP v8.1.0. Released v2.5.0.
% 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
% 0.14/0.34  % Computer : n021.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 22:10:41 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.52  % (24345)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)
% 0.20/0.52  % (24346)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)
% 0.20/0.52  % (24346)Refutation not found, incomplete strategy% (24346)------------------------------
% 0.20/0.52  % (24346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (24367)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)
% 0.20/0.52  % (24347)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)
% 0.20/0.52  % (24349)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (24371)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)
% 0.20/0.53  % (24354)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)
% 0.20/0.53  % (24363)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (24348)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)
% 0.20/0.53  % (24368)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  % (24350)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)
% 0.20/0.53  % (24360)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  % (24356)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)
% 0.20/0.53  % (24353)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (24353)Instruction limit reached!
% 0.20/0.53  % (24353)------------------------------
% 0.20/0.53  % (24353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (24353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (24353)Termination reason: Unknown
% 0.20/0.53  % (24353)Termination phase: Blocked clause elimination
% 0.20/0.53  
% 0.20/0.53  % (24353)Memory used [KB]: 1023
% 0.20/0.53  % (24353)Time elapsed: 0.003 s
% 0.20/0.53  % (24353)Instructions burned: 2 (million)
% 0.20/0.53  % (24353)------------------------------
% 0.20/0.53  % (24353)------------------------------
% 0.20/0.54  % (24364)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)
% 0.20/0.54  % (24365)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)
% 0.20/0.54  % (24351)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)
% 0.20/0.54  % (24362)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (24357)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (24374)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)
% 0.20/0.54  % (24346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (24346)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (24346)Memory used [KB]: 5500
% 0.20/0.54  % (24346)Time elapsed: 0.105 s
% 0.20/0.54  % (24346)Instructions burned: 2 (million)
% 0.20/0.54  % (24346)------------------------------
% 0.20/0.54  % (24346)------------------------------
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (24373)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (24363)First to succeed.
% 0.20/0.54  TRYING [2]
% 0.20/0.55  % (24355)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (24361)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)
% 0.20/0.55  % (24358)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (24352)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (24366)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (24370)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  % (24352)Instruction limit reached!
% 0.20/0.55  % (24352)------------------------------
% 0.20/0.55  % (24352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (24352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (24352)Termination reason: Unknown
% 0.20/0.55  % (24352)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (24352)Memory used [KB]: 5500
% 0.20/0.55  % (24352)Time elapsed: 0.109 s
% 0.20/0.55  % (24352)Instructions burned: 8 (million)
% 0.20/0.55  % (24352)------------------------------
% 0.20/0.55  % (24352)------------------------------
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (24372)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)
% 0.20/0.56  % (24359)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)
% 0.20/0.56  % (24369)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (24363)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (24363)------------------------------
% 0.20/0.56  % (24363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (24363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (24363)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (24363)Memory used [KB]: 5756
% 0.20/0.56  % (24363)Time elapsed: 0.133 s
% 0.20/0.56  % (24363)Instructions burned: 12 (million)
% 0.20/0.56  % (24363)------------------------------
% 0.20/0.56  % (24363)------------------------------
% 0.20/0.56  % (24344)Success in time 0.208 s
%------------------------------------------------------------------------------