TSTP Solution File: SYN575-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN575-1 : 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 : n015.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 19:38:57 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   47 (  11 unt;   0 def)
%            Number of atoms       :  113 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  135 (  69   ~;  61   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f455,plain,
    $false,
    inference(avatar_sat_refutation,[],[f391,f439,f454]) ).

fof(f454,plain,
    ( ~ spl4_5
    | ~ spl4_6 ),
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f452,f389]) ).

fof(f389,plain,
    ( p9(c12,f6(f5(c14)))
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f388,plain,
    ( spl4_6
  <=> p9(c12,f6(f5(c14))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f452,plain,
    ( ~ p9(c12,f6(f5(c14)))
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f451,f60]) ).

fof(f60,plain,
    sP3(f5(c14)),
    inference(resolution,[],[f57,f4]) ).

fof(f4,axiom,
    ! [X3] : p2(X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

fof(f57,plain,
    ! [X0] :
      ( ~ p2(X0,f5(c14))
      | sP3(X0) ),
    inference(resolution,[],[f29,f6]) ).

fof(f6,axiom,
    p11(c14,c15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).

fof(f29,plain,
    ! [X34,X35] :
      ( ~ p11(X35,c15)
      | ~ p2(X34,f5(X35))
      | sP3(X34) ),
    inference(cnf_transformation,[],[f29_D]) ).

fof(f29_D,plain,
    ! [X34] :
      ( ! [X35] :
          ( ~ p11(X35,c15)
          | ~ p2(X34,f5(X35)) )
    <=> ~ sP3(X34) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f451,plain,
    ( ~ sP3(f5(c14))
    | ~ p9(c12,f6(f5(c14)))
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f449,f386]) ).

fof(f386,plain,
    ( p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14)))
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl4_5
  <=> p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f449,plain,
    ( ~ p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14)))
    | ~ p9(c12,f6(f5(c14)))
    | ~ sP3(f5(c14))
    | ~ spl4_5 ),
    inference(resolution,[],[f386,f30]) ).

fof(f30,plain,
    ! [X34,X33] :
      ( ~ p9(f8(X33,X34),f6(X34))
      | ~ p9(f8(X33,X34),X33)
      | ~ p9(c12,X33)
      | ~ sP3(X34) ),
    inference(general_splitting,[],[f22,f29_D]) ).

fof(f22,axiom,
    ! [X34,X35,X33] :
      ( ~ p9(c12,X33)
      | ~ p9(f8(X33,X34),f6(X34))
      | ~ p11(X35,c15)
      | ~ p9(f8(X33,X34),X33)
      | ~ p2(X34,f5(X35)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_22) ).

fof(f439,plain,
    spl4_6,
    inference(avatar_contradiction_clause,[],[f438]) ).

fof(f438,plain,
    ( $false
    | spl4_6 ),
    inference(subsumption_resolution,[],[f437,f2]) ).

fof(f2,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).

fof(f437,plain,
    ( ~ p7(c12,c12)
    | spl4_6 ),
    inference(resolution,[],[f390,f213]) ).

fof(f213,plain,
    ! [X0] :
      ( p9(X0,f6(f5(c14)))
      | ~ p7(c12,X0) ),
    inference(resolution,[],[f190,f47]) ).

fof(f47,plain,
    ! [X2] : p3(f6(X2),f6(f5(X2))),
    inference(resolution,[],[f39,f8]) ).

fof(f8,axiom,
    ! [X5] : p3(f6(f5(X5)),f6(X5)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(X1,X0) ),
    inference(resolution,[],[f16,f3]) ).

fof(f3,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).

fof(f16,axiom,
    ! [X2,X18,X17] :
      ( ~ p3(X2,X18)
      | ~ p3(X2,X17)
      | p3(X17,X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_16) ).

fof(f190,plain,
    ! [X0,X1] :
      ( ~ p3(f6(c14),X1)
      | ~ p7(c12,X0)
      | p9(X0,X1) ),
    inference(resolution,[],[f121,f5]) ).

fof(f5,axiom,
    p9(c12,c13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).

fof(f121,plain,
    ! [X2,X3,X4] :
      ( ~ p9(X3,c13)
      | p9(X4,X2)
      | ~ p3(f6(c14),X2)
      | ~ p7(X3,X4) ),
    inference(resolution,[],[f54,f10]) ).

fof(f10,axiom,
    ! [X6] :
      ( p9(X6,f6(c14))
      | ~ p9(X6,c13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_10) ).

fof(f54,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p9(X2,X3)
      | ~ p3(X3,X1)
      | ~ p7(X2,X0)
      | p9(X0,X1) ),
    inference(resolution,[],[f28,f27]) ).

fof(f27,plain,
    ! [X28,X26,X27] :
      ( sP2(X27,X26)
      | ~ p9(X27,X28)
      | ~ p3(X28,X26) ),
    inference(cnf_transformation,[],[f27_D]) ).

fof(f27_D,plain,
    ! [X26,X27] :
      ( ! [X28] :
          ( ~ p9(X27,X28)
          | ~ p3(X28,X26) )
    <=> ~ sP2(X27,X26) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f28,plain,
    ! [X26,X27,X25] :
      ( ~ sP2(X27,X26)
      | p9(X25,X26)
      | ~ p7(X27,X25) ),
    inference(general_splitting,[],[f19,f27_D]) ).

fof(f19,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p7(X27,X25)
      | ~ p3(X28,X26)
      | p9(X25,X26)
      | ~ p9(X27,X28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).

fof(f390,plain,
    ( ~ p9(c12,f6(f5(c14)))
    | spl4_6 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f391,plain,
    ( spl4_5
    | ~ spl4_6 ),
    inference(avatar_split_clause,[],[f380,f388,f384]) ).

fof(f380,plain,
    ( ~ p9(c12,f6(f5(c14)))
    | p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14))) ),
    inference(factoring,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( p9(f8(X0,f5(c14)),f6(f5(c14)))
      | p9(f8(X0,f5(c14)),X0)
      | ~ p9(c12,X0) ),
    inference(resolution,[],[f26,f52]) ).

fof(f52,plain,
    sP1(f5(c14)),
    inference(resolution,[],[f51,f4]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ p2(X0,f5(c14))
      | sP1(X0) ),
    inference(resolution,[],[f25,f6]) ).

fof(f25,plain,
    ! [X34,X35] :
      ( ~ p11(X35,c15)
      | ~ p2(X34,f5(X35))
      | sP1(X34) ),
    inference(cnf_transformation,[],[f25_D]) ).

fof(f25_D,plain,
    ! [X34] :
      ( ! [X35] :
          ( ~ p11(X35,c15)
          | ~ p2(X34,f5(X35)) )
    <=> ~ sP1(X34) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f26,plain,
    ! [X34,X33] :
      ( ~ sP1(X34)
      | p9(f8(X33,X34),X33)
      | p9(f8(X33,X34),f6(X34))
      | ~ p9(c12,X33) ),
    inference(general_splitting,[],[f21,f25_D]) ).

fof(f21,axiom,
    ! [X34,X35,X33] :
      ( ~ p11(X35,c15)
      | p9(f8(X33,X34),X33)
      | ~ p9(c12,X33)
      | ~ p2(X34,f5(X35))
      | p9(f8(X33,X34),f6(X34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_21) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN575-1 : 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
% 0.12/0.33  % Computer : n015.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 22:24:21 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (18666)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)
% 0.19/0.50  % (18687)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50  % (18679)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (18675)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)
% 0.19/0.50  TRYING [1]
% 0.19/0.50  TRYING [2]
% 0.19/0.50  TRYING [3]
% 0.19/0.51  % (18670)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 [4]
% 0.19/0.51  % (18692)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)
% 0.19/0.51  % (18684)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (18667)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)
% 0.19/0.52  % (18686)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)
% 0.19/0.52  % (18694)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (18668)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  % (18671)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)
% 0.19/0.52  % (18674)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (18677)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)
% 0.19/0.52  % (18674)Instruction limit reached!
% 0.19/0.52  % (18674)------------------------------
% 0.19/0.52  % (18674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (18674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (18674)Termination reason: Unknown
% 0.19/0.52  % (18674)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (18674)Memory used [KB]: 5373
% 0.19/0.52  % (18674)Time elapsed: 0.134 s
% 0.19/0.52  % (18674)Instructions burned: 3 (million)
% 0.19/0.52  % (18674)------------------------------
% 0.19/0.52  % (18674)------------------------------
% 0.19/0.53  % (18687)First to succeed.
% 0.19/0.53  % (18673)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  % (18695)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  % (18673)Instruction limit reached!
% 0.19/0.53  % (18673)------------------------------
% 0.19/0.53  % (18673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (18673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (18673)Termination reason: Unknown
% 0.19/0.53  % (18673)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (18673)Memory used [KB]: 5500
% 0.19/0.53  % (18673)Time elapsed: 0.136 s
% 0.19/0.53  % (18673)Instructions burned: 7 (million)
% 0.19/0.53  % (18673)------------------------------
% 0.19/0.53  % (18673)------------------------------
% 0.19/0.53  TRYING [5]
% 0.19/0.53  % (18678)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (18689)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)
% 0.19/0.53  % (18683)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (18669)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)
% 0.19/0.53  % (18690)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  % (18691)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (18688)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)
% 0.19/0.54  % (18667)Refutation not found, incomplete strategy% (18667)------------------------------
% 0.19/0.54  % (18667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (18667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (18667)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (18667)Memory used [KB]: 5373
% 0.19/0.54  % (18667)Time elapsed: 0.145 s
% 0.19/0.54  % (18667)Instructions burned: 2 (million)
% 0.19/0.54  % (18667)------------------------------
% 0.19/0.54  % (18667)------------------------------
% 0.19/0.54  % (18681)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)
% 0.19/0.54  % (18682)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)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (18672)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)
% 0.19/0.54  % (18685)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)
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (18680)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)
% 0.19/0.55  % (18670)Also succeeded, but the first one will report.
% 0.19/0.55  % (18693)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)
% 0.19/0.55  % (18687)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (18687)------------------------------
% 0.19/0.55  % (18687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (18687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (18687)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (18687)Memory used [KB]: 5628
% 0.19/0.55  % (18687)Time elapsed: 0.134 s
% 0.19/0.55  % (18687)Instructions burned: 19 (million)
% 0.19/0.55  % (18687)------------------------------
% 0.19/0.55  % (18687)------------------------------
% 0.19/0.55  % (18665)Success in time 0.206 s
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