TSTP Solution File: SYN668-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN668-1 : 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 : n029.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 19:39:13 EDT 2022

% Result   : Unsatisfiable 1.41s 0.54s
% Output   : Refutation 1.41s
% 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(f423,plain,
    $false,
    inference(avatar_sat_refutation,[],[f292,f422]) ).

fof(f422,plain,
    ~ spl24_7,
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | ~ spl24_7 ),
    inference(subsumption_resolution,[],[f417,f91]) ).

fof(f91,plain,
    ~ p2(sF21,sF22),
    inference(superposition,[],[f64,f86]) ).

fof(f86,plain,
    sF22 = f18(sF21,sF5),
    introduced(function_definition,[]) ).

fof(f64,plain,
    ! [X10] : ~ p2(X10,f18(X10,sF5)),
    inference(definition_folding,[],[f18,f60,f59]) ).

fof(f59,plain,
    f17(c31) = sF4,
    introduced(function_definition,[]) ).

fof(f60,plain,
    f9(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f18,axiom,
    ! [X10] : ~ p2(X10,f18(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_18) ).

fof(f417,plain,
    ( p2(sF21,sF22)
    | ~ spl24_7 ),
    inference(resolution,[],[f311,f153]) ).

fof(f153,plain,
    ! [X14] :
      ( ~ p2(sF1,X14)
      | p2(X14,sF22) ),
    inference(resolution,[],[f30,f87]) ).

fof(f87,plain,
    p2(sF1,sF22),
    inference(definition_folding,[],[f38,f86,f60,f59,f85,f69,f56,f55]) ).

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

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

fof(f69,plain,
    f4(c33) = sF9,
    introduced(function_definition,[]) ).

fof(f85,plain,
    sF21 = f11(sF9,c34),
    introduced(function_definition,[]) ).

fof(f38,axiom,
    p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_38) ).

fof(f30,axiom,
    ! [X34,X5,X33] :
      ( ~ p2(X5,X34)
      | ~ p2(X5,X33)
      | p2(X33,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).

fof(f311,plain,
    ( p2(sF1,sF21)
    | ~ spl24_7 ),
    inference(resolution,[],[f246,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f30,f7]) ).

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

fof(f246,plain,
    ( p2(sF21,sF1)
    | ~ spl24_7 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl24_7
  <=> p2(sF21,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).

fof(f292,plain,
    spl24_7,
    inference(avatar_split_clause,[],[f291,f244]) ).

fof(f291,plain,
    p2(sF21,sF1),
    inference(forward_demodulation,[],[f290,f85]) ).

fof(f290,plain,
    p2(f11(sF9,c34),sF1),
    inference(subsumption_resolution,[],[f289,f12]) ).

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

fof(f289,plain,
    ( p2(f11(sF9,c34),sF1)
    | ~ p25(c33,c36) ),
    inference(subsumption_resolution,[],[f276,f14]) ).

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

fof(f276,plain,
    ( p2(f11(sF9,c34),sF1)
    | ~ p25(c32,c33)
    | ~ p25(c33,c36) ),
    inference(superposition,[],[f79,f69]) ).

fof(f79,plain,
    ! [X82] :
      ( p2(f11(f4(X82),c34),sF1)
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    inference(definition_folding,[],[f50,f56,f55]) ).

fof(f50,axiom,
    ! [X82] :
      ( ~ p25(c32,X82)
      | ~ p25(X82,c36)
      | p2(f11(f4(X82),c34),f11(f4(c32),c34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_50) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN668-1 : 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
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:24:57 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (7244)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)
% 0.20/0.49  % (7251)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50  % (7251)Instruction limit reached!
% 0.20/0.50  % (7251)------------------------------
% 0.20/0.50  % (7251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (7268)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50  % (7260)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50  % (7244)Refutation not found, incomplete strategy% (7244)------------------------------
% 0.20/0.50  % (7244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  % (7254)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)
% 0.20/0.50  % (7244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (7244)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (7244)Memory used [KB]: 5500
% 0.20/0.50  % (7244)Time elapsed: 0.101 s
% 0.20/0.50  % (7244)Instructions burned: 3 (million)
% 0.20/0.50  % (7244)------------------------------
% 0.20/0.50  % (7244)------------------------------
% 0.20/0.51  % (7259)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)
% 0.20/0.51  TRYING [2]
% 0.20/0.51  % (7253)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (7251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (7251)Termination reason: Unknown
% 0.20/0.51  % (7251)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (7251)Memory used [KB]: 1023
% 0.20/0.51  % (7251)Time elapsed: 0.004 s
% 0.20/0.51  % (7251)Instructions burned: 3 (million)
% 0.20/0.51  % (7251)------------------------------
% 0.20/0.51  % (7251)------------------------------
% 0.20/0.51  % (7267)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (7257)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)
% 0.20/0.51  % (7270)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)
% 0.20/0.52  % (7249)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)
% 0.20/0.52  % (7263)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)
% 0.20/0.52  % (7245)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  % (7247)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  TRYING [3]
% 0.20/0.53  % (7246)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  % (7265)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)
% 0.20/0.53  TRYING [4]
% 1.41/0.53  % (7271)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.53  % (7248)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)
% 1.41/0.53  % (7272)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)
% 1.41/0.53  % (7267)First to succeed.
% 1.41/0.53  % (7268)Also succeeded, but the first one will report.
% 1.41/0.54  % (7250)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.54  % (7267)Refutation found. Thanks to Tanya!
% 1.41/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.41/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.54  % (7267)------------------------------
% 1.41/0.54  % (7267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (7267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (7267)Termination reason: Refutation
% 1.41/0.54  
% 1.41/0.54  % (7267)Memory used [KB]: 5756
% 1.41/0.54  % (7267)Time elapsed: 0.126 s
% 1.41/0.54  % (7267)Instructions burned: 16 (million)
% 1.41/0.54  % (7267)------------------------------
% 1.41/0.54  % (7267)------------------------------
% 1.41/0.54  % (7242)Success in time 0.186 s
%------------------------------------------------------------------------------