TSTP Solution File: SYN683-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN683-1 : 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 : n012.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 1.54s 0.56s
% Output   : Refutation 1.54s
% 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(f801,plain,
    $false,
    inference(avatar_sat_refutation,[],[f786,f800]) ).

fof(f800,plain,
    ~ spl30_67,
    inference(avatar_contradiction_clause,[],[f799]) ).

fof(f799,plain,
    ( $false
    | ~ spl30_67 ),
    inference(subsumption_resolution,[],[f795,f116]) ).

fof(f116,plain,
    ~ p2(sF28,sF29),
    inference(superposition,[],[f84,f111]) ).

fof(f111,plain,
    sF20(sF28) = sF29,
    inference(superposition,[],[f83,f99]) ).

fof(f99,plain,
    f18(sF28,sF4) = sF29,
    introduced(function_definition,[]) ).

fof(f83,plain,
    ! [X10] : sF20(X10) = f18(X10,sF4),
    introduced(function_definition,[]) ).

fof(f84,plain,
    ! [X10] : ~ p2(X10,sF20(X10)),
    inference(definition_folding,[],[f19,f83,f62,f61]) ).

fof(f61,plain,
    f17(c31) = sF3,
    introduced(function_definition,[]) ).

fof(f62,plain,
    sF4 = f9(sF3),
    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(f795,plain,
    ( p2(sF28,sF29)
    | ~ spl30_67 ),
    inference(resolution,[],[f793,f596]) ).

fof(f596,plain,
    ! [X19] :
      ( ~ p2(sF9,X19)
      | p2(X19,sF29) ),
    inference(resolution,[],[f31,f100]) ).

fof(f100,plain,
    p2(sF9,sF29),
    inference(definition_folding,[],[f40,f99,f62,f61,f98,f73,f67,f66]) ).

fof(f66,plain,
    f4(c32) = sF8,
    introduced(function_definition,[]) ).

fof(f67,plain,
    sF9 = f11(sF8,c34),
    introduced(function_definition,[]) ).

fof(f73,plain,
    f4(c36) = sF13,
    introduced(function_definition,[]) ).

fof(f98,plain,
    f11(sF13,c34) = sF28,
    introduced(function_definition,[]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).

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

fof(f793,plain,
    ( p2(sF9,sF28)
    | ~ spl30_67 ),
    inference(resolution,[],[f753,f587]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( ~ p2(X1,X0)
      | p2(X0,X1) ),
    inference(resolution,[],[f31,f7]) ).

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

fof(f753,plain,
    ( p2(sF28,sF9)
    | ~ spl30_67 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl30_67
  <=> p2(sF28,sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_67])]) ).

fof(f786,plain,
    spl30_67,
    inference(avatar_split_clause,[],[f785,f751]) ).

fof(f785,plain,
    p2(sF28,sF9),
    inference(subsumption_resolution,[],[f784,f13]) ).

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

fof(f784,plain,
    ( ~ p25(c32,c36)
    | p2(sF28,sF9) ),
    inference(subsumption_resolution,[],[f780,f12]) ).

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

fof(f780,plain,
    ( p2(sF28,sF9)
    | ~ p25(c36,c33)
    | ~ p25(c32,c36) ),
    inference(superposition,[],[f94,f127]) ).

fof(f127,plain,
    sF25(c36) = sF28,
    inference(forward_demodulation,[],[f117,f98]) ).

fof(f117,plain,
    sF25(c36) = f11(sF13,c34),
    inference(superposition,[],[f90,f73]) ).

fof(f90,plain,
    ! [X82] : f11(f4(X82),c34) = sF25(X82),
    introduced(function_definition,[]) ).

fof(f94,plain,
    ! [X81] :
      ( p2(sF25(X81),sF9)
      | ~ p25(c32,X81)
      | ~ p25(X81,c33) ),
    inference(definition_folding,[],[f50,f67,f66,f90]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN683-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 22:14:50 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.22/0.50  % (12436)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.50  TRYING [1]
% 0.22/0.50  % (12428)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)
% 0.22/0.51  TRYING [2]
% 0.22/0.51  TRYING [3]
% 0.22/0.52  % (12444)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.52  % (12441)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)
% 0.22/0.53  % (12433)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)
% 0.22/0.53  % (12425)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)
% 0.22/0.53  % (12424)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)
% 0.22/0.54  TRYING [4]
% 0.22/0.54  % (12422)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)
% 1.41/0.54  % (12423)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.54  % (12421)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)
% 1.41/0.54  % (12419)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)
% 1.41/0.54  % (12448)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)
% 1.41/0.54  % (12429)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.55  % (12420)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)
% 1.41/0.55  TRYING [1]
% 1.41/0.55  % (12426)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.55  % (12420)Refutation not found, incomplete strategy% (12420)------------------------------
% 1.41/0.55  % (12420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (12420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (12420)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.55  
% 1.41/0.55  % (12420)Memory used [KB]: 5500
% 1.41/0.55  % (12420)Time elapsed: 0.133 s
% 1.41/0.55  % (12420)Instructions burned: 3 (million)
% 1.41/0.55  % (12420)------------------------------
% 1.41/0.55  % (12420)------------------------------
% 1.41/0.55  % (12443)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.41/0.55  % (12438)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)
% 1.41/0.55  % (12439)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)
% 1.41/0.55  % (12444)First to succeed.
% 1.41/0.55  % (12434)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)
% 1.41/0.55  % (12440)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.55  % (12435)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)
% 1.41/0.55  % (12431)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.55  % (12445)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)
% 1.41/0.55  % (12437)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.55  % (12430)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)
% 1.41/0.55  % (12442)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)
% 1.41/0.55  TRYING [1]
% 1.41/0.55  TRYING [2]
% 1.41/0.56  TRYING [3]
% 1.41/0.56  % (12447)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.56  % (12432)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.56  % (12446)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)
% 1.41/0.56  TRYING [2]
% 1.54/0.56  % (12427)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.56  TRYING [3]
% 1.54/0.56  % (12444)Refutation found. Thanks to Tanya!
% 1.54/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.54/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.56  % (12444)------------------------------
% 1.54/0.56  % (12444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (12444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (12444)Termination reason: Refutation
% 1.54/0.56  
% 1.54/0.56  % (12444)Memory used [KB]: 5884
% 1.54/0.56  % (12444)Time elapsed: 0.130 s
% 1.54/0.56  % (12444)Instructions burned: 19 (million)
% 1.54/0.56  % (12444)------------------------------
% 1.54/0.56  % (12444)------------------------------
% 1.54/0.56  % (12418)Success in time 0.202 s
%------------------------------------------------------------------------------