TSTP Solution File: LCL033-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL033-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n021.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 17:37:57 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  14   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f111,plain,
    $false,
    inference(avatar_sat_refutation,[],[f34,f88,f110]) ).

fof(f110,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f104]) ).

fof(f104,plain,
    ( $false
    | ~ spl0_8 ),
    inference(resolution,[],[f87,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(implies(a,implies(b,a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_2) ).

fof(f87,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f86,plain,
    ( spl0_8
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f88,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f81,f86,f22]) ).

fof(f22,plain,
    ( spl0_2
  <=> ! [X1] : ~ is_a_theorem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X0)))
      | ~ is_a_theorem(X2) ),
    inference(resolution,[],[f69,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f69,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(resolution,[],[f10,f7]) ).

fof(f7,plain,
    ! [X8,X6,X7,X4,X5] :
      ( ~ is_a_theorem(implies(implies(implies(X7,X5),implies(X8,X5)),implies(X5,X6)))
      | is_a_theorem(implies(X4,implies(X5,X6))) ),
    inference(resolution,[],[f5,f1]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
    inference(resolution,[],[f4,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_CAMerideth) ).

fof(f4,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(implies(X1,X3),implies(X2,falsehood)),X4),X0))
      | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f10,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
    inference(resolution,[],[f8,f4]) ).

fof(f8,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))),
    inference(resolution,[],[f6,f4]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))),
    inference(resolution,[],[f5,f4]) ).

fof(f34,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f25]) ).

fof(f25,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f23,f2]) ).

fof(f23,plain,
    ( ! [X1] : ~ is_a_theorem(X1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 01:27:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.45  % (18467)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)
% 0.19/0.45  % (18467)Refutation not found, incomplete strategy% (18467)------------------------------
% 0.19/0.45  % (18467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (18467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (18467)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.45  
% 0.19/0.45  % (18467)Memory used [KB]: 1279
% 0.19/0.45  % (18467)Time elapsed: 0.071 s
% 0.19/0.45  % (18467)Instructions burned: 1 (million)
% 0.19/0.45  % (18467)------------------------------
% 0.19/0.45  % (18467)------------------------------
% 0.19/0.46  % (18495)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)
% 0.19/0.47  % (18478)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)
% 0.19/0.48  % (18495)Instruction limit reached!
% 0.19/0.48  % (18495)------------------------------
% 0.19/0.48  % (18495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (18495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (18495)Termination reason: Unknown
% 0.19/0.48  % (18495)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (18495)Memory used [KB]: 6268
% 0.19/0.48  % (18495)Time elapsed: 0.096 s
% 0.19/0.48  % (18495)Instructions burned: 20 (million)
% 0.19/0.48  % (18495)------------------------------
% 0.19/0.48  % (18495)------------------------------
% 0.19/0.49  % (18470)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)
% 0.19/0.49  % (18478)Instruction limit reached!
% 0.19/0.49  % (18478)------------------------------
% 0.19/0.49  % (18478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (18478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (18478)Termination reason: Unknown
% 0.19/0.49  % (18478)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (18478)Memory used [KB]: 6140
% 0.19/0.49  % (18478)Time elapsed: 0.106 s
% 0.19/0.49  % (18478)Instructions burned: 24 (million)
% 0.19/0.49  % (18478)------------------------------
% 0.19/0.49  % (18478)------------------------------
% 0.19/0.50  % (18476)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)
% 0.19/0.50  % (18476)Refutation not found, incomplete strategy% (18476)------------------------------
% 0.19/0.50  % (18476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (18476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (18476)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (18476)Memory used [KB]: 5756
% 0.19/0.50  % (18476)Time elapsed: 0.107 s
% 0.19/0.50  % (18476)------------------------------
% 0.19/0.50  % (18476)------------------------------
% 0.19/0.50  % (18471)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50  % (18487)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)
% 0.19/0.50  % (18479)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)
% 0.19/0.50  % (18477)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)
% 0.19/0.50  % (18486)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)
% 0.19/0.50  % (18482)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)
% 0.19/0.50  % (18479)First to succeed.
% 0.19/0.50  % (18474)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)
% 0.19/0.51  % (18479)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (18479)------------------------------
% 0.19/0.51  % (18479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (18479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (18479)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (18479)Memory used [KB]: 5884
% 0.19/0.51  % (18479)Time elapsed: 0.115 s
% 0.19/0.51  % (18479)Instructions burned: 4 (million)
% 0.19/0.51  % (18479)------------------------------
% 0.19/0.51  % (18479)------------------------------
% 0.19/0.51  % (18463)Success in time 0.162 s
%------------------------------------------------------------------------------