TSTP Solution File: SYN556-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN556-1 : 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 : n020.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 19:38:54 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   47 (  21 unt;   0 def)
%            Number of atoms       :   88 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   83 (  42   ~;  39   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-3 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f573,plain,
    $false,
    inference(avatar_sat_refutation,[],[f344,f346,f572]) ).

fof(f572,plain,
    ~ spl8_17,
    inference(avatar_contradiction_clause,[],[f571]) ).

fof(f571,plain,
    ( $false
    | ~ spl8_17 ),
    inference(subsumption_resolution,[],[f569,f22]) ).

fof(f22,plain,
    ~ p3(c9,sF7),
    inference(definition_folding,[],[f9,f21,f20,f15,f14,f19]) ).

fof(f19,plain,
    f8(c11,c10) = sF5,
    introduced(function_definition,[]) ).

fof(f14,plain,
    f7(c12) = sF1,
    introduced(function_definition,[]) ).

fof(f15,plain,
    f6(sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f20,plain,
    f5(sF5,sF2) = sF6,
    introduced(function_definition,[]) ).

fof(f21,plain,
    f4(c10,sF6,c11) = sF7,
    introduced(function_definition,[]) ).

fof(f9,axiom,
    ~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_9) ).

fof(f569,plain,
    ( p3(c9,sF7)
    | ~ spl8_17 ),
    inference(resolution,[],[f556,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ p3(X1,X0)
      | p3(X0,X1) ),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X1] : p3(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_2) ).

fof(f7,axiom,
    ! [X1,X8,X9] :
      ( ~ p3(X1,X9)
      | p3(X8,X9)
      | ~ p3(X1,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).

fof(f556,plain,
    ( p3(sF7,c9)
    | ~ spl8_17 ),
    inference(resolution,[],[f555,f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ p3(sF4,X0)
      | p3(X0,c9) ),
    inference(resolution,[],[f68,f7]) ).

fof(f68,plain,
    p3(sF4,c9),
    inference(resolution,[],[f59,f18]) ).

fof(f18,plain,
    p3(c9,sF4),
    inference(definition_folding,[],[f8,f17,f16,f15,f14,f13]) ).

fof(f13,plain,
    f8(c11,c13) = sF0,
    introduced(function_definition,[]) ).

fof(f16,plain,
    sF3 = f5(sF0,sF2),
    introduced(function_definition,[]) ).

fof(f17,plain,
    sF4 = f4(c13,sF3,c11),
    introduced(function_definition,[]) ).

fof(f8,axiom,
    p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).

fof(f555,plain,
    ( p3(sF4,sF7)
    | ~ spl8_17 ),
    inference(subsumption_resolution,[],[f554,f226]) ).

fof(f226,plain,
    ( p2(sF3,sF6)
    | ~ spl8_17 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl8_17
  <=> p2(sF3,sF6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).

fof(f554,plain,
    ( p3(sF4,sF7)
    | ~ p2(sF3,sF6) ),
    inference(subsumption_resolution,[],[f553,f2]) ).

fof(f553,plain,
    ( ~ p3(c11,c11)
    | ~ p2(sF3,sF6)
    | p3(sF4,sF7) ),
    inference(subsumption_resolution,[],[f552,f40]) ).

fof(f40,plain,
    p2(c13,c10),
    inference(resolution,[],[f31,f3]) ).

fof(f3,axiom,
    p2(c10,c13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f6,axiom,
    ! [X0,X6,X7] :
      ( ~ p2(X0,X7)
      | ~ p2(X0,X6)
      | p2(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

fof(f552,plain,
    ( ~ p2(c13,c10)
    | ~ p3(c11,c11)
    | p3(sF4,sF7)
    | ~ p2(sF3,sF6) ),
    inference(superposition,[],[f104,f21]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( p3(sF4,f4(X0,X1,X2))
      | ~ p2(sF3,X1)
      | ~ p2(c13,X0)
      | ~ p3(c11,X2) ),
    inference(superposition,[],[f12,f17]) ).

fof(f12,axiom,
    ! [X21,X18,X19,X22,X23,X20] :
      ( p3(f4(X18,X19,X20),f4(X21,X22,X23))
      | ~ p2(X18,X21)
      | ~ p2(X19,X22)
      | ~ p3(X20,X23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_12) ).

fof(f346,plain,
    spl8_16,
    inference(avatar_split_clause,[],[f345,f220]) ).

fof(f220,plain,
    ( spl8_16
  <=> p2(sF0,sF5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).

fof(f345,plain,
    p2(sF0,sF5),
    inference(subsumption_resolution,[],[f339,f40]) ).

fof(f339,plain,
    ( p2(sF0,sF5)
    | ~ p2(c13,c10) ),
    inference(subsumption_resolution,[],[f338,f2]) ).

fof(f338,plain,
    ( ~ p3(c11,c11)
    | p2(sF0,sF5)
    | ~ p2(c13,c10) ),
    inference(superposition,[],[f77,f19]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( p2(sF0,f8(X0,X1))
      | ~ p3(c11,X0)
      | ~ p2(c13,X1) ),
    inference(superposition,[],[f11,f13]) ).

fof(f11,axiom,
    ! [X16,X14,X17,X15] :
      ( p2(f8(X14,X15),f8(X16,X17))
      | ~ p3(X14,X16)
      | ~ p2(X15,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

fof(f344,plain,
    ( spl8_17
    | ~ spl8_16 ),
    inference(avatar_split_clause,[],[f343,f220,f224]) ).

fof(f343,plain,
    ( ~ p2(sF0,sF5)
    | p2(sF3,sF6) ),
    inference(subsumption_resolution,[],[f329,f1]) ).

fof(f329,plain,
    ( ~ p2(sF0,sF5)
    | p2(sF3,sF6)
    | ~ p2(sF2,sF2) ),
    inference(superposition,[],[f66,f16]) ).

fof(f66,plain,
    ! [X2,X3] :
      ( p2(f5(X2,X3),sF6)
      | ~ p2(X2,sF5)
      | ~ p2(X3,sF2) ),
    inference(superposition,[],[f10,f20]) ).

fof(f10,axiom,
    ! [X10,X11,X12,X13] :
      ( p2(f5(X10,X11),f5(X12,X13))
      | ~ p2(X10,X12)
      | ~ p2(X11,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN556-1 : 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 : n020.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 22:09:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (8139)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (8148)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)
% 0.19/0.50  % (8143)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)
% 0.19/0.50  % (8132)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)
% 0.19/0.50  % (8152)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)
% 0.19/0.50  % (8144)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)
% 0.19/0.51  % (8135)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)
% 0.19/0.51  % (8142)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (8130)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)
% 0.19/0.51  % (8129)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)
% 0.19/0.51  % (8130)Refutation not found, incomplete strategy% (8130)------------------------------
% 0.19/0.51  % (8130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (8130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (8130)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (8130)Memory used [KB]: 5373
% 0.19/0.51  % (8130)Time elapsed: 0.107 s
% 0.19/0.51  % (8130)Instructions burned: 1 (million)
% 0.19/0.51  % (8130)------------------------------
% 0.19/0.51  % (8130)------------------------------
% 0.19/0.51  % (8133)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (8146)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  % (8141)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (8131)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)
% 0.19/0.52  % (8155)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)
% 0.19/0.52  % (8154)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (8151)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)
% 0.19/0.52  % (8145)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)
% 0.19/0.53  % (8158)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)
% 0.19/0.53  % (8149)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)
% 0.19/0.53  % (8134)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)
% 0.19/0.53  % (8140)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)
% 0.19/0.53  % (8136)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (8156)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)
% 0.19/0.53  % (8136)Instruction limit reached!
% 0.19/0.53  % (8136)------------------------------
% 0.19/0.53  % (8136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (8136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (8136)Termination reason: Unknown
% 0.19/0.53  % (8136)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (8136)Memory used [KB]: 5500
% 0.19/0.53  % (8136)Time elapsed: 0.134 s
% 0.19/0.53  % (8136)Instructions burned: 8 (million)
% 0.19/0.53  % (8136)------------------------------
% 0.19/0.53  % (8136)------------------------------
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (8137)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (8150)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (8137)Instruction limit reached!
% 0.19/0.53  % (8137)------------------------------
% 0.19/0.53  % (8137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (8137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (8137)Termination reason: Unknown
% 0.19/0.53  % (8137)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (8137)Memory used [KB]: 5373
% 0.19/0.53  % (8137)Time elapsed: 0.145 s
% 0.19/0.53  % (8137)Instructions burned: 3 (million)
% 0.19/0.53  % (8137)------------------------------
% 0.19/0.53  % (8137)------------------------------
% 0.19/0.54  % (8147)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  TRYING [3]
% 0.19/0.54  TRYING [4]
% 0.19/0.54  % (8153)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (8157)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (8138)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)
% 0.19/0.56  TRYING [4]
% 0.19/0.56  % (8142)First to succeed.
% 0.19/0.56  % (8142)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (8142)------------------------------
% 0.19/0.56  % (8142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (8142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (8142)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (8142)Memory used [KB]: 5756
% 0.19/0.56  % (8142)Time elapsed: 0.143 s
% 0.19/0.56  % (8142)Instructions burned: 22 (million)
% 0.19/0.56  % (8142)------------------------------
% 0.19/0.56  % (8142)------------------------------
% 0.19/0.56  % (8128)Success in time 0.217 s
%------------------------------------------------------------------------------