TSTP Solution File: SYN210-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN210-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n001.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 19:25:52 EDT 2022

% Result   : Unsatisfiable 1.43s 0.55s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (   6 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (  35   ~;  22   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f428,plain,
    $false,
    inference(avatar_sat_refutation,[],[f382,f425,f427]) ).

fof(f427,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f426]) ).

fof(f426,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f378,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f378,plain,
    ( ! [X2] : ~ n0(X2,c)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_1
  <=> ! [X2] : ~ n0(X2,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f425,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f424]) ).

fof(f424,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f422,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

fof(f422,plain,
    ( ~ l0(c)
    | ~ spl0_2 ),
    inference(resolution,[],[f407,f58]) ).

fof(f58,axiom,
    ( m1(c,c,c)
    | ~ l0(c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_020) ).

fof(f407,plain,
    ( ! [X6] : ~ m1(X6,X6,c)
    | ~ spl0_2 ),
    inference(resolution,[],[f387,f188]) ).

fof(f188,axiom,
    ! [X9,X4] :
      ( p2(X9,X9,X9)
      | ~ m1(X4,X4,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).

fof(f387,plain,
    ( ~ p2(c,c,c)
    | ~ spl0_2 ),
    inference(condensation,[],[f386]) ).

fof(f386,plain,
    ( ! [X1] :
        ( ~ p2(c,c,c)
        | ~ p2(X1,c,c) )
    | ~ spl0_2 ),
    inference(resolution,[],[f384,f276]) ).

fof(f276,axiom,
    ! [X2] :
      ( m3(X2,X2,X2)
      | ~ p2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_238) ).

fof(f384,plain,
    ( ! [X2,X0,X1] :
        ( ~ m3(c,X0,X1)
        | ~ p2(X2,c,X1) )
    | ~ spl0_2 ),
    inference(resolution,[],[f381,f289]) ).

fof(f289,axiom,
    ! [X10,X11,X6,X7] :
      ( p3(X10,X11,X11)
      | ~ m3(X11,X6,X7)
      | ~ p2(X10,X11,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_251) ).

fof(f381,plain,
    ( ! [X0,X1] : ~ p3(X0,c,X1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl0_2
  <=> ! [X0,X1] : ~ p3(X0,c,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f382,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f375,f380,f377]) ).

fof(f375,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X0,c,X1)
      | ~ n0(X2,c) ),
    inference(resolution,[],[f374,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f374,plain,
    ! [X2,X0,X1] :
      ( ~ l1(c,X1)
      | ~ p3(X0,X1,X2) ),
    inference(resolution,[],[f369,f337]) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( s4(X10)
      | ~ p3(X11,X6,X7)
      | ~ l1(X10,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).

fof(f369,axiom,
    ~ s4(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN210-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n001.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:58:17 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.46  % (31357)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)
% 0.21/0.47  % (31374)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)
% 0.21/0.47  % (31357)Instruction limit reached!
% 0.21/0.47  % (31357)------------------------------
% 0.21/0.47  % (31357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.47  % (31357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.47  % (31357)Termination reason: Unknown
% 0.21/0.47  % (31357)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (31357)Memory used [KB]: 6396
% 0.21/0.47  % (31357)Time elapsed: 0.007 s
% 0.21/0.47  % (31357)Instructions burned: 5 (million)
% 0.21/0.47  % (31357)------------------------------
% 0.21/0.47  % (31357)------------------------------
% 0.21/0.48  % (31374)Refutation not found, incomplete strategy% (31374)------------------------------
% 0.21/0.48  % (31374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48  % (31374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48  % (31374)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48  
% 0.21/0.48  % (31374)Memory used [KB]: 6268
% 0.21/0.48  % (31374)Time elapsed: 0.068 s
% 0.21/0.48  % (31374)Instructions burned: 4 (million)
% 0.21/0.48  % (31374)------------------------------
% 0.21/0.48  % (31374)------------------------------
% 0.21/0.52  % (31355)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)
% 0.21/0.52  % (31355)Instruction limit reached!
% 0.21/0.52  % (31355)------------------------------
% 0.21/0.52  % (31355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (31355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (31355)Termination reason: Unknown
% 0.21/0.52  % (31355)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (31355)Memory used [KB]: 1663
% 0.21/0.52  % (31355)Time elapsed: 0.004 s
% 0.21/0.52  % (31355)Instructions burned: 6 (million)
% 0.21/0.52  % (31355)------------------------------
% 0.21/0.52  % (31355)------------------------------
% 1.30/0.52  % (31356)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)
% 1.30/0.52  % (31365)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)
% 1.30/0.53  % (31371)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)
% 1.30/0.53  % (31347)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)
% 1.30/0.53  % (31346)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)
% 1.30/0.53  % (31363)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.30/0.53  % (31347)Instruction limit reached!
% 1.30/0.53  % (31347)------------------------------
% 1.30/0.53  % (31347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (31347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (31347)Termination reason: Unknown
% 1.30/0.53  % (31347)Termination phase: General splitting
% 1.30/0.53  
% 1.30/0.53  % (31347)Memory used [KB]: 1791
% 1.30/0.53  % (31347)Time elapsed: 0.003 s
% 1.30/0.53  % (31347)Instructions burned: 4 (million)
% 1.30/0.53  % (31347)------------------------------
% 1.30/0.53  % (31347)------------------------------
% 1.30/0.53  % (31348)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)
% 1.30/0.53  % (31371)Refutation not found, incomplete strategy% (31371)------------------------------
% 1.30/0.53  % (31371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (31371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (31371)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53  
% 1.30/0.53  % (31371)Memory used [KB]: 6396
% 1.30/0.53  % (31371)Time elapsed: 0.094 s
% 1.30/0.53  % (31371)Instructions burned: 9 (million)
% 1.30/0.53  % (31371)------------------------------
% 1.30/0.53  % (31371)------------------------------
% 1.30/0.53  % (31348)Refutation not found, incomplete strategy% (31348)------------------------------
% 1.30/0.53  % (31348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (31348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (31348)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53  
% 1.30/0.53  % (31348)Memory used [KB]: 6140
% 1.30/0.53  % (31348)Time elapsed: 0.002 s
% 1.30/0.53  % (31348)Instructions burned: 2 (million)
% 1.30/0.53  % (31348)------------------------------
% 1.30/0.53  % (31348)------------------------------
% 1.30/0.53  % (31349)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)
% 1.30/0.54  % (31349)Refutation not found, incomplete strategy% (31349)------------------------------
% 1.30/0.54  % (31349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54  % (31349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54  % (31349)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.54  
% 1.30/0.54  % (31349)Memory used [KB]: 6140
% 1.30/0.54  % (31349)Time elapsed: 0.002 s
% 1.30/0.54  % (31349)Instructions burned: 2 (million)
% 1.30/0.54  % (31349)------------------------------
% 1.30/0.54  % (31349)------------------------------
% 1.30/0.54  % (31345)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.30/0.54  % (31359)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)
% 1.30/0.54  % (31372)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.30/0.54  % (31370)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)
% 1.30/0.54  % (31372)Refutation not found, incomplete strategy% (31372)------------------------------
% 1.30/0.54  % (31372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54  % (31372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54  % (31372)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.54  
% 1.30/0.54  % (31372)Memory used [KB]: 1663
% 1.30/0.54  % (31372)Time elapsed: 0.002 s
% 1.30/0.54  % (31372)Instructions burned: 2 (million)
% 1.30/0.54  % (31372)------------------------------
% 1.30/0.54  % (31372)------------------------------
% 1.30/0.54  % (31369)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)
% 1.43/0.54  % (31350)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.43/0.54  % (31370)Refutation not found, incomplete strategy% (31370)------------------------------
% 1.43/0.54  % (31370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (31370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (31370)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.54  
% 1.43/0.54  % (31370)Memory used [KB]: 6268
% 1.43/0.54  % (31370)Time elapsed: 0.130 s
% 1.43/0.54  % (31370)Instructions burned: 6 (million)
% 1.43/0.54  % (31370)------------------------------
% 1.43/0.54  % (31370)------------------------------
% 1.43/0.54  % (31366)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)
% 1.43/0.54  % (31365)Instruction limit reached!
% 1.43/0.54  % (31365)------------------------------
% 1.43/0.54  % (31365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (31365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (31365)Termination reason: Unknown
% 1.43/0.54  % (31365)Termination phase: Saturation
% 1.43/0.54  
% 1.43/0.54  % (31365)Memory used [KB]: 1663
% 1.43/0.54  % (31365)Time elapsed: 0.004 s
% 1.43/0.54  % (31365)Instructions burned: 6 (million)
% 1.43/0.54  % (31365)------------------------------
% 1.43/0.54  % (31365)------------------------------
% 1.43/0.54  % (31366)Refutation not found, incomplete strategy% (31366)------------------------------
% 1.43/0.54  % (31366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (31366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (31366)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.54  
% 1.43/0.54  % (31366)Memory used [KB]: 6140
% 1.43/0.54  % (31366)Time elapsed: 0.002 s
% 1.43/0.54  % (31366)Instructions burned: 2 (million)
% 1.43/0.54  % (31366)------------------------------
% 1.43/0.54  % (31366)------------------------------
% 1.43/0.54  % (31360)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)
% 1.43/0.55  % (31362)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.43/0.55  % (31363)First to succeed.
% 1.43/0.55  % (31373)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)
% 1.43/0.55  % (31358)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)
% 1.43/0.55  % (31363)Refutation found. Thanks to Tanya!
% 1.43/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.43/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.55  % (31363)------------------------------
% 1.43/0.55  % (31363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (31363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (31363)Termination reason: Refutation
% 1.43/0.55  
% 1.43/0.55  % (31363)Memory used [KB]: 10874
% 1.43/0.55  % (31363)Time elapsed: 0.145 s
% 1.43/0.55  % (31363)Instructions burned: 5 (million)
% 1.43/0.55  % (31363)------------------------------
% 1.43/0.55  % (31363)------------------------------
% 1.43/0.55  % (31344)Success in time 0.191 s
%------------------------------------------------------------------------------