TSTP Solution File: SYN674-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN674-1 : 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 : n025.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 19:39:14 EDT 2022

% Result   : Unsatisfiable 1.37s 0.55s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   36 (  24 unt;   0 def)
%            Number of atoms       :   52 (  12 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    :   19 (  19 usr;  12 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f740,plain,
    $false,
    inference(avatar_sat_refutation,[],[f731,f739]) ).

fof(f739,plain,
    ~ spl30_70,
    inference(avatar_contradiction_clause,[],[f738]) ).

fof(f738,plain,
    ( $false
    | ~ spl30_70 ),
    inference(subsumption_resolution,[],[f734,f112]) ).

fof(f112,plain,
    ~ p2(sF27,sF28),
    inference(superposition,[],[f59,f110]) ).

fof(f110,plain,
    sF28 = sF2(sF27),
    inference(superposition,[],[f96,f58]) ).

fof(f58,plain,
    ! [X10] : f16(X10,sF1) = sF2(X10),
    introduced(function_definition,[]) ).

fof(f96,plain,
    sF28 = f16(sF27,sF1),
    introduced(function_definition,[]) ).

fof(f59,plain,
    ! [X10] : ~ p2(X10,sF2(X10)),
    inference(definition_folding,[],[f19,f58,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(f734,plain,
    ( p2(sF27,sF28)
    | ~ spl30_70 ),
    inference(resolution,[],[f732,f519]) ).

fof(f519,plain,
    ! [X17] :
      ( ~ p2(sF10,X17)
      | p2(X17,sF28) ),
    inference(resolution,[],[f30,f97]) ).

fof(f97,plain,
    p2(sF10,sF28),
    inference(definition_folding,[],[f39,f96,f57,f56,f95,f85,f69,f68]) ).

fof(f68,plain,
    f4(c32) = sF9,
    introduced(function_definition,[]) ).

fof(f69,plain,
    sF10 = f11(sF9,c34),
    introduced(function_definition,[]) ).

fof(f85,plain,
    f4(c33) = sF20,
    introduced(function_definition,[]) ).

fof(f95,plain,
    f11(sF20,c34) = sF27,
    introduced(function_definition,[]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).

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

fof(f732,plain,
    ( p2(sF10,sF27)
    | ~ spl30_70 ),
    inference(resolution,[],[f715,f511]) ).

fof(f511,plain,
    ! [X0,X1] :
      ( ~ p2(X1,X0)
      | p2(X0,X1) ),
    inference(resolution,[],[f30,f6]) ).

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

fof(f715,plain,
    ( p2(sF27,sF10)
    | ~ spl30_70 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f713,plain,
    ( spl30_70
  <=> p2(sF27,sF10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_70])]) ).

fof(f731,plain,
    spl30_70,
    inference(avatar_split_clause,[],[f730,f713]) ).

fof(f730,plain,
    p2(sF27,sF10),
    inference(subsumption_resolution,[],[f729,f14]) ).

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

fof(f729,plain,
    ( ~ p25(c32,c33)
    | p2(sF27,sF10) ),
    inference(subsumption_resolution,[],[f719,f12]) ).

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

fof(f719,plain,
    ( ~ p25(c33,c36)
    | p2(sF27,sF10)
    | ~ p25(c32,c33) ),
    inference(superposition,[],[f84,f125]) ).

fof(f125,plain,
    sF27 = sF19(c33),
    inference(forward_demodulation,[],[f117,f95]) ).

fof(f117,plain,
    f11(sF20,c34) = sF19(c33),
    inference(superposition,[],[f82,f85]) ).

fof(f82,plain,
    ! [X81] : f11(f4(X81),c34) = sF19(X81),
    introduced(function_definition,[]) ).

fof(f84,plain,
    ! [X82] :
      ( p2(sF19(X82),sF10)
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    inference(definition_folding,[],[f51,f69,f68,f82]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN674-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % 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 : n025.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 22:24:30 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (8790)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  % (8791)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (8809)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (8801)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  TRYING [1]
% 0.20/0.53  % (8791)Instruction limit reached!
% 0.20/0.53  % (8791)------------------------------
% 0.20/0.53  % (8791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8791)Termination reason: Unknown
% 0.20/0.53  % (8791)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (8791)Memory used [KB]: 5500
% 0.20/0.53  % (8791)Time elapsed: 0.118 s
% 0.20/0.53  % (8791)Instructions burned: 7 (million)
% 0.20/0.53  % (8791)------------------------------
% 0.20/0.53  % (8791)------------------------------
% 0.20/0.53  TRYING [2]
% 1.37/0.53  TRYING [3]
% 1.37/0.53  % (8784)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)
% 1.37/0.54  % (8807)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)
% 1.37/0.54  % (8806)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)
% 1.37/0.54  % (8799)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)
% 1.37/0.54  % (8809)First to succeed.
% 1.37/0.54  % (8788)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.55  TRYING [4]
% 1.37/0.55  % (8798)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)
% 1.37/0.55  % (8785)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)
% 1.37/0.55  % (8809)Refutation found. Thanks to Tanya!
% 1.37/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.37/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.55  % (8809)------------------------------
% 1.37/0.55  % (8809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (8809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (8809)Termination reason: Refutation
% 1.37/0.55  
% 1.37/0.55  % (8809)Memory used [KB]: 5884
% 1.37/0.55  % (8809)Time elapsed: 0.093 s
% 1.37/0.55  % (8809)Instructions burned: 16 (million)
% 1.37/0.55  % (8809)------------------------------
% 1.37/0.55  % (8809)------------------------------
% 1.37/0.55  % (8783)Success in time 0.192 s
%------------------------------------------------------------------------------