TSTP Solution File: LCL077-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL077-1 : 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 : 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 17:38:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  17   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,plain,
    $false,
    inference(unit_resulting_resolution,[],[f2,f2,f11,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(not(a)),implies(X1,implies(not(a),not(X0)))))
      | ~ is_a_theorem(implies(not(not(a)),X0))
      | ~ is_a_theorem(implies(not(not(a)),X1)) ),
    inference(resolution,[],[f28,f20]) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f18,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).

fof(f28,plain,
    ! [X1] :
      ( ~ is_a_theorem(implies(not(not(a)),implies(not(a),not(X1))))
      | ~ is_a_theorem(implies(not(not(a)),X1)) ),
    inference(resolution,[],[f26,f11]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(not(a)),implies(X1,implies(X0,a))))
      | ~ is_a_theorem(implies(not(not(a)),X0))
      | ~ is_a_theorem(implies(not(not(a)),X1)) ),
    inference(resolution,[],[f22,f20]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(not(not(a)),implies(X0,a)))
      | ~ is_a_theorem(implies(not(not(a)),X0)) ),
    inference(resolution,[],[f20,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_39) ).

fof(f11,plain,
    ! [X2,X3,X4] : is_a_theorem(implies(X2,implies(implies(not(X3),not(X4)),implies(X4,X3)))),
    inference(resolution,[],[f4,f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f1,f2]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_49) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % 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 : n001.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 01:54:45 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.52  % (15844)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)
% 0.19/0.53  % (15846)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)
% 0.19/0.53  % (15845)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)
% 0.19/0.53  % (15845)Refutation not found, incomplete strategy% (15845)------------------------------
% 0.19/0.53  % (15845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15845)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (15845)Memory used [KB]: 5756
% 0.19/0.53  % (15845)Time elapsed: 0.127 s
% 0.19/0.53  % (15845)Instructions burned: 2 (million)
% 0.19/0.53  % (15845)------------------------------
% 0.19/0.53  % (15845)------------------------------
% 0.19/0.54  % (15853)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)
% 0.19/0.54  % (15861)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)
% 0.19/0.54  % (15854)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (15846)Instruction limit reached!
% 0.19/0.54  % (15846)------------------------------
% 0.19/0.54  % (15846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (15846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (15846)Termination reason: Unknown
% 0.19/0.54  % (15846)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (15846)Memory used [KB]: 5756
% 0.19/0.54  % (15846)Time elapsed: 0.116 s
% 0.19/0.54  % (15846)Instructions burned: 3 (million)
% 0.19/0.54  % (15846)------------------------------
% 0.19/0.54  % (15846)------------------------------
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (15854)Instruction limit reached!
% 0.19/0.54  % (15854)------------------------------
% 0.19/0.54  % (15854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (15854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (15854)Termination reason: Unknown
% 0.19/0.54  % (15854)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (15854)Memory used [KB]: 5756
% 0.19/0.54  % (15854)Time elapsed: 0.131 s
% 0.19/0.54  % (15854)Instructions burned: 2 (million)
% 0.19/0.54  % (15854)------------------------------
% 0.19/0.54  % (15854)------------------------------
% 0.19/0.54  % (15860)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)
% 0.19/0.55  % (15862)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)
% 0.19/0.55  % (15852)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)
% 0.19/0.55  % (15852)First to succeed.
% 0.19/0.55  % (15853)Instruction limit reached!
% 0.19/0.55  % (15853)------------------------------
% 0.19/0.55  % (15853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (15853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (15852)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (15852)------------------------------
% 0.19/0.56  % (15852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (15852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (15852)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (15852)Memory used [KB]: 1407
% 0.19/0.56  % (15852)Time elapsed: 0.145 s
% 0.19/0.56  % (15852)Instructions burned: 4 (million)
% 0.19/0.56  % (15852)------------------------------
% 0.19/0.56  % (15852)------------------------------
% 0.19/0.56  % (15837)Success in time 0.209 s
%------------------------------------------------------------------------------