TSTP Solution File: SYN689-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN689-1 : 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_uns --cores 0 -t %d %s

% Computer : n004.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 19:28:06 EDT 2022

% Result   : Unsatisfiable 0.14s 0.52s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   94 (  49   ~;  43   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   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   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f94,plain,
    $false,
    inference(avatar_sat_refutation,[],[f82,f86,f93]) ).

fof(f93,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f92]) ).

fof(f92,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f90,f2]) ).

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

fof(f90,plain,
    ( ~ p27(c43)
    | ~ spl0_2 ),
    inference(resolution,[],[f87,f31]) ).

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

fof(f87,plain,
    ( ~ p18(f19(f17(c43)),f20(f19(c43)))
    | ~ spl0_2 ),
    inference(resolution,[],[f81,f10]) ).

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

fof(f81,plain,
    ( ! [X0] :
        ( ~ p18(X0,f19(f17(c43)))
        | ~ p18(X0,f20(f19(c43))) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ p18(X0,f20(f19(c43)))
        | ~ p18(X0,f19(f17(c43))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f86,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f85]) ).

fof(f85,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f83,f2]) ).

fof(f83,plain,
    ( ~ p27(c43)
    | spl0_1 ),
    inference(resolution,[],[f78,f17]) ).

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

fof(f78,plain,
    ( ~ p27(f17(c43))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f77,plain,
    ( spl0_1
  <=> p27(f17(c43)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f82,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f71,f80,f77]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ p18(X0,f20(f19(c43)))
      | ~ p27(f17(c43))
      | ~ p18(X0,f19(f17(c43))) ),
    inference(resolution,[],[f70,f15]) ).

fof(f15,axiom,
    ~ p26(f17(c43),c35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p26_15) ).

fof(f70,plain,
    ! [X3,X4] :
      ( p26(X3,c35)
      | ~ p27(X3)
      | ~ p18(X4,f20(f19(c43)))
      | ~ p18(X4,f19(X3)) ),
    inference(subsumption_resolution,[],[f68,f3]) ).

fof(f3,axiom,
    p27(c35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c35_is_p27_3) ).

fof(f68,plain,
    ! [X3,X4] :
      ( ~ p27(X3)
      | ~ p18(X4,f19(X3))
      | p26(X3,c35)
      | ~ p18(X4,f20(f19(c43)))
      | ~ p27(c35) ),
    inference(resolution,[],[f66,f10]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( ~ p18(f19(c35),f19(X0))
      | p26(X1,X0)
      | ~ p27(X0)
      | ~ p18(X2,f19(X1))
      | ~ p27(X1)
      | ~ p18(X2,f20(f19(c43))) ),
    inference(resolution,[],[f64,f37]) ).

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

fof(f64,plain,
    ! [X0,X1] :
      ( ~ p18(f20(f19(c43)),f19(X1))
      | ~ p27(X0)
      | ~ p27(X1)
      | p26(X1,X0)
      | ~ p18(f19(c35),f19(X0)) ),
    inference(resolution,[],[f63,f18]) ).

fof(f18,axiom,
    p28(f20(f19(c43)),f19(c35)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_18) ).

fof(f63,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p28(X2,X0)
      | ~ p18(X0,f19(X1))
      | p26(X3,X1)
      | ~ p27(X3)
      | ~ p18(X2,f19(X3))
      | ~ p27(X1) ),
    inference(resolution,[],[f44,f41]) ).

fof(f41,axiom,
    ! [X46,X47] :
      ( ~ p28(f19(X46),f19(X47))
      | ~ p27(X46)
      | p26(X46,X47)
      | ~ p27(X47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_41) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN689-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29  % Computer : n004.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 30 22:12:34 EDT 2022
% 0.09/0.29  % CPUTime    : 
% 0.14/0.45  % (15325)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.14/0.48  % (15314)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.14/0.48  % (15342)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.14/0.49  % (15322)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.49  % (15324)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.49  % (15319)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.49  % (15322)Instruction limit reached!
% 0.14/0.49  % (15322)------------------------------
% 0.14/0.49  % (15322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (15322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49  % (15322)Termination reason: Unknown
% 0.14/0.49  % (15322)Termination phase: Saturation
% 0.14/0.49  
% 0.14/0.49  % (15322)Memory used [KB]: 5884
% 0.14/0.49  % (15322)Time elapsed: 0.129 s
% 0.14/0.49  % (15322)Instructions burned: 4 (million)
% 0.14/0.49  % (15322)------------------------------
% 0.14/0.49  % (15322)------------------------------
% 0.14/0.49  % (15320)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.49  % (15337)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.49  % (15334)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.49  % (15326)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.14/0.49  % (15333)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.49  % (15334)Instruction limit reached!
% 0.14/0.49  % (15334)------------------------------
% 0.14/0.49  % (15334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (15329)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.50  % (15325)Instruction limit reached!
% 0.14/0.50  % (15325)------------------------------
% 0.14/0.50  % (15325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50  % (15316)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.50  % (15317)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.14/0.50  % (15336)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.14/0.50  % (15337)First to succeed.
% 0.14/0.50  % (15325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50  % (15325)Termination reason: Unknown
% 0.14/0.50  % (15325)Termination phase: Saturation
% 0.14/0.50  
% 0.14/0.50  % (15325)Memory used [KB]: 6140
% 0.14/0.50  % (15325)Time elapsed: 0.144 s
% 0.14/0.50  % (15325)Instructions burned: 23 (million)
% 0.14/0.50  % (15325)------------------------------
% 0.14/0.50  % (15325)------------------------------
% 0.14/0.50  % (15333)Instruction limit reached!
% 0.14/0.50  % (15333)------------------------------
% 0.14/0.50  % (15333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50  % (15333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50  % (15333)Termination reason: Unknown
% 0.14/0.50  % (15333)Termination phase: Saturation
% 0.14/0.50  
% 0.14/0.50  % (15333)Memory used [KB]: 6012
% 0.14/0.50  % (15333)Time elapsed: 0.142 s
% 0.14/0.50  % (15333)Instructions burned: 7 (million)
% 0.14/0.50  % (15333)------------------------------
% 0.14/0.50  % (15333)------------------------------
% 0.14/0.50  % (15323)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.50  % (15321)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.51  % (15318)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.14/0.51  % (15326)Instruction limit reached!
% 0.14/0.51  % (15326)------------------------------
% 0.14/0.51  % (15326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (15334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (15334)Termination reason: Unknown
% 0.14/0.51  % (15334)Termination phase: Saturation
% 0.14/0.51  
% 0.14/0.51  % (15334)Memory used [KB]: 1535
% 0.14/0.51  % (15334)Time elapsed: 0.142 s
% 0.14/0.51  % (15334)Instructions burned: 6 (million)
% 0.14/0.51  % (15334)------------------------------
% 0.14/0.51  % (15334)------------------------------
% 0.14/0.51  % (15326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (15326)Termination reason: Unknown
% 0.14/0.51  % (15326)Termination phase: Saturation
% 0.14/0.51  
% 0.14/0.51  % (15326)Memory used [KB]: 6012
% 0.14/0.51  % (15326)Time elapsed: 0.152 s
% 0.14/0.51  % (15326)Instructions burned: 6 (million)
% 0.14/0.51  % (15326)------------------------------
% 0.14/0.51  % (15326)------------------------------
% 0.14/0.51  % (15329)Instruction limit reached!
% 0.14/0.51  % (15329)------------------------------
% 0.14/0.51  % (15329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (15329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (15329)Termination reason: Unknown
% 0.14/0.51  % (15329)Termination phase: Finite model building preprocessing
% 0.14/0.51  
% 0.14/0.51  % (15329)Memory used [KB]: 1663
% 0.14/0.51  % (15329)Time elapsed: 0.009 s
% 0.14/0.51  % (15329)Instructions burned: 7 (million)
% 0.14/0.51  % (15329)------------------------------
% 0.14/0.51  % (15329)------------------------------
% 0.14/0.51  % (15315)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.14/0.51  % (15328)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.14/0.51  % (15343)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.51  % (15338)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.14/0.51  % (15342)Instruction limit reached!
% 0.14/0.51  % (15342)------------------------------
% 0.14/0.51  % (15342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (15342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (15342)Termination reason: Unknown
% 0.14/0.51  % (15342)Termination phase: Saturation
% 0.14/0.51  
% 0.14/0.51  % (15342)Memory used [KB]: 6268
% 0.14/0.51  % (15342)Time elapsed: 0.145 s
% 0.14/0.51  % (15342)Instructions burned: 20 (million)
% 0.14/0.51  % (15342)------------------------------
% 0.14/0.51  % (15342)------------------------------
% 0.14/0.52  % (15316)Instruction limit reached!
% 0.14/0.52  % (15316)------------------------------
% 0.14/0.52  % (15316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52  % (15316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52  % (15316)Termination reason: Unknown
% 0.14/0.52  % (15316)Termination phase: Saturation
% 0.14/0.52  
% 0.14/0.52  % (15316)Memory used [KB]: 5884
% 0.14/0.52  % (15316)Time elapsed: 0.158 s
% 0.14/0.52  % (15316)Instructions burned: 4 (million)
% 0.14/0.52  % (15316)------------------------------
% 0.14/0.52  % (15316)------------------------------
% 0.14/0.52  % (15337)Refutation found. Thanks to Tanya!
% 0.14/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.52  % (15337)------------------------------
% 0.14/0.52  % (15337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52  % (15337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52  % (15337)Termination reason: Refutation
% 0.14/0.52  
% 0.14/0.52  % (15337)Memory used [KB]: 6012
% 0.14/0.52  % (15337)Time elapsed: 0.096 s
% 0.14/0.52  % (15337)Instructions burned: 4 (million)
% 0.14/0.52  % (15337)------------------------------
% 0.14/0.52  % (15337)------------------------------
% 0.14/0.52  % (15313)Success in time 0.214 s
%------------------------------------------------------------------------------