TSTP Solution File: SYN608-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN608-1 : 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 : n002.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 19:27:53 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   32 (   9 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   68 (  37   ~;  27   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f128,plain,
    $false,
    inference(avatar_sat_refutation,[],[f84,f88,f106,f111,f127]) ).

fof(f127,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f125]) ).

fof(f125,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f122,f6]) ).

fof(f6,axiom,
    p3(f12(c22,c21),f15(c22)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).

fof(f122,plain,
    ( ! [X0] : ~ p3(f12(X0,c21),f15(c22))
    | ~ spl0_6 ),
    inference(resolution,[],[f121,f4]) ).

fof(f4,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).

fof(f121,plain,
    ( ! [X0,X1] :
        ( ~ p3(X0,f12(X1,c21))
        | ~ p3(X0,f15(c22)) )
    | ~ spl0_6 ),
    inference(resolution,[],[f101,f19]) ).

fof(f19,axiom,
    ! [X2,X24,X23] :
      ( p3(X23,X24)
      | ~ p3(X2,X23)
      | ~ p3(X2,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_19) ).

fof(f101,plain,
    ( ! [X0] : ~ p3(f15(c22),f12(X0,c21))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl0_6
  <=> ! [X0] : ~ p3(f15(c22),f12(X0,c21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f111,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f108]) ).

fof(f108,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f105,f4]) ).

fof(f105,plain,
    ( ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl0_7
  <=> p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f106,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f97,f78,f103,f100]) ).

fof(f78,plain,
    ( spl0_3
  <=> ! [X5] : ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X5,c21)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f97,plain,
    ( ! [X0] :
        ( ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))
        | ~ p3(f15(c22),f12(X0,c21)) )
    | ~ spl0_3 ),
    inference(resolution,[],[f95,f24]) ).

fof(f24,axiom,
    ! [X40,X38,X39,X37] :
      ( p3(f10(X37,X38),f10(X39,X40))
      | ~ p3(X37,X39)
      | ~ p3(X38,X40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_24) ).

fof(f95,plain,
    ( ! [X0] : ~ p3(f10(f14(f4(f9(c19)),c19),f15(c22)),f10(f14(f4(f9(c19)),c19),f12(X0,c21)))
    | ~ spl0_3 ),
    inference(resolution,[],[f79,f12]) ).

fof(f12,axiom,
    ! [X10,X9] :
      ( p2(f9(X9),f9(X10))
      | ~ p3(X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

fof(f79,plain,
    ( ! [X5] : ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X5,c21))))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f88,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f86]) ).

fof(f86,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f83,f2]) ).

fof(f2,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

fof(f83,plain,
    ( ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl0_4
  <=> p2(f6(f7(f8(c20))),f6(f7(f8(c20)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f84,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f76,f81,f78]) ).

fof(f76,plain,
    ! [X5] :
      ( ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
      | ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X5,c21)))) ),
    inference(resolution,[],[f58,f27]) ).

fof(f27,axiom,
    p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_27) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ p17(X1,X0)
      | ~ p2(X0,f6(f7(f8(c20))))
      | ~ p2(X1,f9(f10(f14(f4(f9(c19)),c19),f12(X2,c21)))) ),
    inference(resolution,[],[f29,f20]) ).

fof(f20,axiom,
    ! [X28,X26,X27,X25] :
      ( p17(X25,X26)
      | ~ p2(X28,X26)
      | ~ p2(X27,X25)
      | ~ p17(X27,X28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_20) ).

fof(f29,axiom,
    ! [X49] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X49,c21))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_29) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN608-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:23:14 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (8177)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)
% 0.20/0.50  % (8169)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (8194)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.52  % (8177)Instruction limit reached!
% 0.20/0.52  % (8177)------------------------------
% 0.20/0.52  % (8177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8177)Termination reason: Unknown
% 0.20/0.52  % (8177)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (8177)Memory used [KB]: 5884
% 0.20/0.52  % (8177)Time elapsed: 0.101 s
% 0.20/0.52  % (8177)Instructions burned: 4 (million)
% 0.20/0.52  % (8177)------------------------------
% 0.20/0.52  % (8177)------------------------------
% 0.20/0.52  % (8174)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (8172)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)
% 0.20/0.53  % (8179)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)
% 0.20/0.53  % (8170)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)
% 0.20/0.53  % (8197)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)
% 0.20/0.53  % (8171)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)
% 0.20/0.53  % (8179)Instruction limit reached!
% 0.20/0.53  % (8179)------------------------------
% 0.20/0.53  % (8179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8171)Instruction limit reached!
% 0.20/0.53  % (8171)------------------------------
% 0.20/0.53  % (8171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8171)Termination reason: Unknown
% 0.20/0.53  % (8171)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (8171)Memory used [KB]: 5884
% 0.20/0.53  % (8171)Time elapsed: 0.129 s
% 0.20/0.53  % (8171)Instructions burned: 4 (million)
% 0.20/0.53  % (8171)------------------------------
% 0.20/0.53  % (8171)------------------------------
% 0.20/0.53  % (8173)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)
% 0.20/0.53  % (8178)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)
% 0.20/0.54  % (8198)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)
% 0.20/0.54  % (8190)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.54  % (8186)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (8183)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)
% 0.20/0.54  % (8189)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)
% 0.20/0.54  % (8174)First to succeed.
% 0.20/0.54  % (8182)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (8195)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.54  % (8179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8179)Termination reason: Unknown
% 0.20/0.54  % (8179)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (8179)Memory used [KB]: 6012
% 0.20/0.54  % (8174)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (8174)------------------------------
% 0.20/0.55  % (8174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (8174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (8174)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (8174)Memory used [KB]: 5884
% 0.20/0.55  % (8174)Time elapsed: 0.117 s
% 0.20/0.55  % (8174)Instructions burned: 6 (million)
% 0.20/0.55  % (8174)------------------------------
% 0.20/0.55  % (8174)------------------------------
% 0.20/0.55  % (8168)Success in time 0.189 s
%------------------------------------------------------------------------------