TSTP Solution File: SYN677-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN677-1 : 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_uns --cores 0 -t %d %s

% Computer : n011.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 19:28:04 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% 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(f332,plain,
    $false,
    inference(avatar_sat_refutation,[],[f261,f331]) ).

fof(f331,plain,
    ~ spl25_2,
    inference(avatar_contradiction_clause,[],[f330]) ).

fof(f330,plain,
    ( $false
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f327,f94]) ).

fof(f94,plain,
    ~ p2(sF5,sF6),
    inference(superposition,[],[f58,f63]) ).

fof(f63,plain,
    sF6 = f16(sF5,sF1),
    introduced(function_definition,[]) ).

fof(f58,plain,
    ! [X10] : ~ p2(X10,f16(X10,sF1)),
    inference(definition_folding,[],[f19,f57,f56]) ).

fof(f56,plain,
    f17(c31) = sF0,
    introduced(function_definition,[]) ).

fof(f57,plain,
    sF1 = f9(sF0),
    introduced(function_definition,[]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).

fof(f327,plain,
    ( p2(sF5,sF6)
    | ~ spl25_2 ),
    inference(resolution,[],[f318,f135]) ).

fof(f135,plain,
    ! [X12] :
      ( ~ p2(sF3,X12)
      | p2(X12,sF6) ),
    inference(resolution,[],[f30,f64]) ).

fof(f64,plain,
    p2(sF3,sF6),
    inference(definition_folding,[],[f40,f63,f57,f56,f62,f61,f60,f59]) ).

fof(f59,plain,
    f4(c32) = sF2,
    introduced(function_definition,[]) ).

fof(f60,plain,
    f11(sF2,c34) = sF3,
    introduced(function_definition,[]) ).

fof(f61,plain,
    f4(c36) = sF4,
    introduced(function_definition,[]) ).

fof(f62,plain,
    sF5 = f11(sF4,c34),
    introduced(function_definition,[]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).

fof(f30,axiom,
    ! [X31,X4,X32] :
      ( ~ p2(X4,X32)
      | ~ p2(X4,X31)
      | p2(X31,X32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).

fof(f318,plain,
    ( p2(sF3,sF5)
    | ~ spl25_2 ),
    inference(resolution,[],[f198,f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f30,f6]) ).

fof(f6,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

fof(f198,plain,
    ( p2(sF5,sF3)
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl25_2
  <=> p2(sF5,sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f261,plain,
    spl25_2,
    inference(avatar_split_clause,[],[f260,f196]) ).

fof(f260,plain,
    p2(sF5,sF3),
    inference(forward_demodulation,[],[f259,f62]) ).

fof(f259,plain,
    p2(f11(sF4,c34),sF3),
    inference(subsumption_resolution,[],[f258,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).

fof(f258,plain,
    ( p2(f11(sF4,c34),sF3)
    | ~ p25(c32,c36) ),
    inference(subsumption_resolution,[],[f252,f11]) ).

fof(f11,axiom,
    p25(c36,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_11) ).

fof(f252,plain,
    ( ~ p25(c36,c33)
    | p2(f11(sF4,c34),sF3)
    | ~ p25(c32,c36) ),
    inference(superposition,[],[f86,f61]) ).

fof(f86,plain,
    ! [X81] :
      ( p2(f11(f4(X81),c34),sF3)
      | ~ p25(c32,X81)
      | ~ p25(X81,c33) ),
    inference(definition_folding,[],[f50,f60,f59]) ).

fof(f50,axiom,
    ! [X81] :
      ( p2(f11(f4(X81),c34),f11(f4(c32),c34))
      | ~ p25(X81,c33)
      | ~ p25(c32,X81) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_50) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN677-1 : 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_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n011.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 22:12:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (30764)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (30763)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (30756)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.49  % (30780)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50  % (30772)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (30771)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50  % (30764)Instruction limit reached!
% 0.19/0.50  % (30764)------------------------------
% 0.19/0.50  % (30764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (30764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (30764)Termination reason: Unknown
% 0.19/0.50  % (30764)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (30764)Memory used [KB]: 5884
% 0.19/0.50  % (30764)Time elapsed: 0.103 s
% 0.19/0.50  % (30764)Instructions burned: 4 (million)
% 0.19/0.50  % (30764)------------------------------
% 0.19/0.50  % (30764)------------------------------
% 0.19/0.51  % (30772)Instruction limit reached!
% 0.19/0.51  % (30772)------------------------------
% 0.19/0.51  % (30772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (30772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (30772)Termination reason: Unknown
% 0.19/0.51  % (30772)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (30772)Memory used [KB]: 1279
% 0.19/0.51  % (30772)Time elapsed: 0.003 s
% 0.19/0.51  % (30772)Instructions burned: 2 (million)
% 0.19/0.51  % (30772)------------------------------
% 0.19/0.51  % (30772)------------------------------
% 0.19/0.51  % (30756)First to succeed.
% 0.19/0.51  % (30770)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52  % (30759)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52  % (30771)Instruction limit reached!
% 0.19/0.52  % (30771)------------------------------
% 0.19/0.52  % (30771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (30757)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52  % (30771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (30771)Termination reason: Unknown
% 0.19/0.52  % (30771)Termination phase: Finite model building preprocessing
% 0.19/0.52  
% 0.19/0.52  % (30771)Memory used [KB]: 6140
% 0.19/0.52  % (30771)Time elapsed: 0.007 s
% 0.19/0.52  % (30771)Instructions burned: 7 (million)
% 0.19/0.52  % (30771)------------------------------
% 0.19/0.52  % (30771)------------------------------
% 0.19/0.52  % (30765)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (30785)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.52  % (30786)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (30779)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.53  % (30783)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.53  % (30758)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.53  % (30761)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (30760)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.53  % (30784)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.53  % (30767)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.53  % (30775)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.53  % (30778)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.53  % (30756)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (30756)------------------------------
% 0.19/0.54  % (30756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30756)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (30756)Memory used [KB]: 6140
% 0.19/0.54  % (30756)Time elapsed: 0.109 s
% 0.19/0.54  % (30756)Instructions burned: 13 (million)
% 0.19/0.54  % (30756)------------------------------
% 0.19/0.54  % (30756)------------------------------
% 0.19/0.54  % (30755)Success in time 0.185 s
%------------------------------------------------------------------------------