TSTP Solution File: LCL110-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL110-1 : 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 : n025.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 17:38:55 EDT 2022

% Result   : Unsatisfiable 1.32s 0.53s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  21   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f222,plain,
    $false,
    inference(avatar_sat_refutation,[],[f185,f210,f221]) ).

fof(f221,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f211]) ).

fof(f211,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f184,f6]) ).

fof(f6,axiom,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_24) ).

fof(f184,plain,
    ( ! [X3] : is_a_theorem(implies(not(not(X3)),X3))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl0_7
  <=> ! [X3] : is_a_theorem(implies(not(not(X3)),X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f210,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f186]) ).

fof(f186,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f97,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).

fof(f97,plain,
    ( ! [X11] : ~ is_a_theorem(X11)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl0_5
  <=> ! [X11] : ~ is_a_theorem(X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f185,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f175,f183,f96]) ).

fof(f175,plain,
    ! [X3,X4] :
      ( is_a_theorem(implies(not(not(X3)),X3))
      | ~ is_a_theorem(X4) ),
    inference(resolution,[],[f126,f36]) ).

fof(f36,plain,
    ! [X24,X25,X23] :
      ( ~ is_a_theorem(implies(X23,implies(X24,X25)))
      | is_a_theorem(implies(X23,X25))
      | ~ is_a_theorem(X24) ),
    inference(resolution,[],[f24,f26]) ).

fof(f26,plain,
    ! [X2,X3] :
      ( is_a_theorem(implies(implies(X2,X3),X3))
      | ~ is_a_theorem(X2) ),
    inference(resolution,[],[f12,f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f2]) ).

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

fof(f12,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),X1))
      | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f11,f1]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).

fof(f126,plain,
    ! [X2,X3] : is_a_theorem(implies(not(not(X2)),implies(X3,X2))),
    inference(resolution,[],[f103,f32]) ).

fof(f32,plain,
    ! [X10,X11,X9] :
      ( ~ is_a_theorem(implies(X9,implies(not(X10),not(X11))))
      | is_a_theorem(implies(X9,implies(X11,X10))) ),
    inference(resolution,[],[f24,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).

fof(f103,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f32,f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL110-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n025.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 01:52:00 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (25987)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.48  % (25979)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)
% 0.20/0.48  % (25979)Refutation not found, incomplete strategy% (25979)------------------------------
% 0.20/0.48  % (25979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (25979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (25979)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48  
% 0.20/0.48  % (25979)Memory used [KB]: 5756
% 0.20/0.48  % (25979)Time elapsed: 0.073 s
% 0.20/0.48  % (25979)------------------------------
% 0.20/0.48  % (25979)------------------------------
% 0.20/0.49  % (25987)Instruction limit reached!
% 0.20/0.49  % (25987)------------------------------
% 0.20/0.49  % (25987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (25987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (25987)Termination reason: Unknown
% 0.20/0.49  % (25987)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (25987)Memory used [KB]: 5884
% 0.20/0.49  % (25987)Time elapsed: 0.082 s
% 0.20/0.49  % (25987)Instructions burned: 8 (million)
% 0.20/0.49  % (25987)------------------------------
% 0.20/0.49  % (25987)------------------------------
% 0.20/0.50  % (25973)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)
% 1.32/0.52  % (25995)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)
% 1.32/0.52  % (25995)Refutation not found, incomplete strategy% (25995)------------------------------
% 1.32/0.52  % (25995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (25995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (25995)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.52  
% 1.32/0.52  % (25995)Memory used [KB]: 5756
% 1.32/0.52  % (25995)Time elapsed: 0.127 s
% 1.32/0.52  % (25995)------------------------------
% 1.32/0.52  % (25995)------------------------------
% 1.32/0.52  % (25976)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)
% 1.32/0.52  % (25973)First to succeed.
% 1.32/0.52  % (25974)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)
% 1.32/0.52  % (25971)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)
% 1.32/0.52  % (25971)Refutation not found, incomplete strategy% (25971)------------------------------
% 1.32/0.52  % (25971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (25971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (25971)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.52  
% 1.32/0.52  % (25971)Memory used [KB]: 1279
% 1.32/0.52  % (25971)Time elapsed: 0.135 s
% 1.32/0.52  % (25971)Instructions burned: 1 (million)
% 1.32/0.52  % (25971)------------------------------
% 1.32/0.52  % (25971)------------------------------
% 1.32/0.52  % (25993)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)
% 1.32/0.53  % (25973)Refutation found. Thanks to Tanya!
% 1.32/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.32/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.53  % (25973)------------------------------
% 1.32/0.53  % (25973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (25973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (25973)Termination reason: Refutation
% 1.32/0.53  
% 1.32/0.53  % (25973)Memory used [KB]: 5884
% 1.32/0.53  % (25973)Time elapsed: 0.133 s
% 1.32/0.53  % (25973)Instructions burned: 12 (million)
% 1.32/0.53  % (25973)------------------------------
% 1.32/0.53  % (25973)------------------------------
% 1.32/0.53  % (25969)Success in time 0.178 s
%------------------------------------------------------------------------------