TSTP Solution File: SYN688-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN688-1 : 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 : n026.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 19:39:16 EDT 2022

% Result   : Unsatisfiable 0.18s 0.58s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   70 (  35   ~;  33   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f480,plain,
    $false,
    inference(avatar_sat_refutation,[],[f466,f469,f479]) ).

fof(f479,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f478]) ).

fof(f478,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f477,f1]) ).

fof(f1,axiom,
    p27(c34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34_is_p27_1) ).

fof(f477,plain,
    ( ~ p27(c34)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f476,f16]) ).

fof(f16,axiom,
    ~ p25(f17(c43),c34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_16) ).

fof(f476,plain,
    ( p25(f17(c43),c34)
    | ~ p27(c34)
    | ~ spl0_2 ),
    inference(resolution,[],[f465,f10]) ).

fof(f10,axiom,
    ! [X5] : p18(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_10) ).

fof(f465,plain,
    ( ! [X0] :
        ( ~ p18(f19(c34),f19(X0))
        | p25(f17(c43),X0)
        | ~ p27(X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl0_2
  <=> ! [X0] :
        ( p25(f17(c43),X0)
        | ~ p18(f19(c34),f19(X0))
        | ~ p27(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f469,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f468]) ).

fof(f468,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f467,f2]) ).

fof(f2,axiom,
    p27(c43),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43_is_p27_2) ).

fof(f467,plain,
    ( ~ p27(c43)
    | spl0_1 ),
    inference(resolution,[],[f462,f17]) ).

fof(f17,axiom,
    ! [X7] :
      ( p27(f17(X7))
      | ~ p27(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).

fof(f462,plain,
    ( ~ p27(f17(c43))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl0_1
  <=> p27(f17(c43)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f466,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f457,f464,f460]) ).

fof(f457,plain,
    ! [X0] :
      ( p25(f17(c43),X0)
      | ~ p27(f17(c43))
      | ~ p27(X0)
      | ~ p18(f19(c34),f19(X0)) ),
    inference(resolution,[],[f455,f40]) ).

fof(f40,axiom,
    ! [X44,X45] :
      ( ~ p28(f19(X44),f19(X45))
      | ~ p27(X45)
      | ~ p27(X44)
      | p25(X44,X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_40) ).

fof(f455,plain,
    ! [X4] :
      ( p28(f19(f17(c43)),X4)
      | ~ p18(f19(c34),X4) ),
    inference(subsumption_resolution,[],[f453,f2]) ).

fof(f453,plain,
    ! [X4] :
      ( ~ p18(f19(c34),X4)
      | ~ p27(c43)
      | p28(f19(f17(c43)),X4) ),
    inference(resolution,[],[f252,f117]) ).

fof(f117,plain,
    ! [X3] :
      ( p18(f20(f19(X3)),f19(f17(X3)))
      | ~ p27(X3) ),
    inference(resolution,[],[f111,f31]) ).

fof(f31,axiom,
    ! [X7] :
      ( p18(f19(f17(X7)),f20(f19(X7)))
      | ~ p27(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_31) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ p18(X1,X0)
      | p18(X0,X1) ),
    inference(resolution,[],[f37,f10]) ).

fof(f37,axiom,
    ! [X40,X41,X5] :
      ( ~ p18(X5,X41)
      | p18(X40,X41)
      | ~ p18(X5,X40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_37) ).

fof(f252,plain,
    ! [X0,X1] :
      ( ~ p18(f20(f19(c43)),X0)
      | ~ p18(f19(c34),X1)
      | p28(X0,X1) ),
    inference(resolution,[],[f44,f18]) ).

fof(f18,axiom,
    p28(f20(f19(c43)),f19(c34)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_18) ).

fof(f44,axiom,
    ! [X58,X59,X56,X57] :
      ( ~ p28(X59,X58)
      | p28(X56,X57)
      | ~ p18(X59,X56)
      | ~ p18(X58,X57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_44) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN688-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:30:06 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (1728)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (1721)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)
% 0.18/0.49  % (1728)Instruction limit reached!
% 0.18/0.49  % (1728)------------------------------
% 0.18/0.49  % (1728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (1729)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49  % (1747)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)
% 0.18/0.50  % (1721)Refutation not found, incomplete strategy% (1721)------------------------------
% 0.18/0.50  % (1721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (1728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (1728)Termination reason: Unknown
% 0.18/0.50  % (1728)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (1728)Memory used [KB]: 5500
% 0.18/0.50  % (1728)Time elapsed: 0.104 s
% 0.18/0.50  % (1728)Instructions burned: 7 (million)
% 0.18/0.50  % (1728)------------------------------
% 0.18/0.50  % (1728)------------------------------
% 0.18/0.50  % (1725)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)
% 0.18/0.50  % (1721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (1721)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (1721)Memory used [KB]: 5500
% 0.18/0.50  % (1721)Time elapsed: 0.104 s
% 0.18/0.50  % (1721)Instructions burned: 3 (million)
% 0.18/0.50  % (1721)------------------------------
% 0.18/0.50  % (1721)------------------------------
% 0.18/0.50  % (1720)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)
% 0.18/0.50  % (1740)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)
% 0.18/0.51  % (1726)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)
% 0.18/0.51  % (1729)Instruction limit reached!
% 0.18/0.51  % (1729)------------------------------
% 0.18/0.51  % (1729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (1729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (1729)Termination reason: Unknown
% 0.18/0.51  % (1729)Termination phase: Blocked clause elimination
% 0.18/0.51  
% 0.18/0.51  % (1729)Memory used [KB]: 1023
% 0.18/0.51  % (1729)Time elapsed: 0.004 s
% 0.18/0.51  % (1729)Instructions burned: 3 (million)
% 0.18/0.51  % (1729)------------------------------
% 0.18/0.51  % (1729)------------------------------
% 0.18/0.51  % (1746)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)
% 0.18/0.51  % (1748)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51  % (1752)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51  % (1751)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)
% 0.18/0.51  % (1749)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (1722)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)
% 0.18/0.52  % (1724)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (1723)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)
% 0.18/0.52  % (1738)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)
% 0.18/0.52  % (1737)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (1742)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (1743)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)
% 0.18/0.53  % (1744)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)
% 0.18/0.53  % (1741)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53  % (1733)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)
% 0.18/0.53  % (1745)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  TRYING [1]
% 0.18/0.53  % (1735)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)
% 0.18/0.53  TRYING [2]
% 0.18/0.53  % (1736)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53  % (1734)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53  % (1753)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)
% 0.18/0.53  % (1750)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)
% 0.18/0.54  % (1739)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)
% 0.18/0.54  TRYING [1]
% 0.18/0.54  TRYING [2]
% 0.18/0.55  TRYING [1]
% 0.18/0.56  TRYING [3]
% 0.18/0.56  % (1744)First to succeed.
% 0.18/0.56  TRYING [2]
% 0.18/0.57  TRYING [3]
% 0.18/0.57  % (1722)Instruction limit reached!
% 0.18/0.57  % (1722)------------------------------
% 0.18/0.57  % (1722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (1725)Instruction limit reached!
% 0.18/0.58  % (1725)------------------------------
% 0.18/0.58  % (1725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (1744)Refutation found. Thanks to Tanya!
% 0.18/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.58  % (1744)------------------------------
% 0.18/0.58  % (1744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (1744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (1744)Termination reason: Refutation
% 0.18/0.58  
% 0.18/0.58  % (1744)Memory used [KB]: 5756
% 0.18/0.58  % (1744)Time elapsed: 0.187 s
% 0.18/0.58  % (1744)Instructions burned: 29 (million)
% 0.18/0.58  % (1744)------------------------------
% 0.18/0.58  % (1744)------------------------------
% 0.18/0.58  % (1719)Success in time 0.24 s
%------------------------------------------------------------------------------