TSTP Solution File: LCL066-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL066-1 : 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 : n018.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 17:38:42 EDT 2022

% Result   : Unsatisfiable 1.51s 0.58s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f306,plain,
    $false,
    inference(resolution,[],[f225,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(a,implies(not(a),b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_3) ).

fof(f225,plain,
    ! [X32,X33] : is_a_theorem(implies(X32,implies(not(X32),X33))),
    inference(resolution,[],[f122,f72]) ).

fof(f72,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f25,f2]) ).

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

fof(f25,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X3,implies(not(X5),not(X4))))
      | is_a_theorem(implies(X3,implies(X4,X5))) ),
    inference(resolution,[],[f18,f4]) ).

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(f18,plain,
    ! [X10,X11,X12] :
      ( ~ is_a_theorem(implies(X12,X11))
      | is_a_theorem(implies(X10,X11))
      | ~ is_a_theorem(implies(X10,X12)) ),
    inference(resolution,[],[f13,f6]) ).

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

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

fof(f13,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,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(f122,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f27,f2]) ).

fof(f27,plain,
    ! [X10,X11,X12,X13] :
      ( ~ is_a_theorem(implies(X10,implies(X11,X13)))
      | is_a_theorem(implies(X10,implies(X11,X12)))
      | ~ is_a_theorem(implies(X11,implies(X13,X12))) ),
    inference(resolution,[],[f18,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL066-1 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.14/0.34  % Computer : n018.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
% 0.14/0.35  % DateTime   : Tue Aug 30 01:36:40 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.52  % (2443)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)
% 0.21/0.53  % (2459)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)
% 0.21/0.54  % (2444)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)
% 0.21/0.54  % (2444)Refutation not found, incomplete strategy% (2444)------------------------------
% 0.21/0.54  % (2444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (2451)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)
% 0.21/0.54  % (2444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (2444)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (2444)Memory used [KB]: 5756
% 0.21/0.54  % (2444)Time elapsed: 0.117 s
% 0.21/0.54  % (2444)Instructions burned: 2 (million)
% 0.21/0.54  % (2444)------------------------------
% 0.21/0.54  % (2444)------------------------------
% 0.21/0.54  % (2452)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)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  TRYING [3]
% 0.21/0.55  % (2460)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)
% 0.21/0.55  % (2452)Instruction limit reached!
% 0.21/0.55  % (2452)------------------------------
% 0.21/0.55  % (2452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (2452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (2452)Termination reason: Unknown
% 0.21/0.55  % (2452)Termination phase: Finite model building constraint generation
% 0.21/0.55  
% 0.21/0.55  % (2452)Memory used [KB]: 6012
% 0.21/0.55  % (2452)Time elapsed: 0.134 s
% 0.21/0.55  % (2452)Instructions burned: 7 (million)
% 0.21/0.55  % (2452)------------------------------
% 0.21/0.55  % (2452)------------------------------
% 0.21/0.56  % (2437)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.57  % (2443)First to succeed.
% 1.51/0.58  % (2443)Refutation found. Thanks to Tanya!
% 1.51/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.58  % (2443)------------------------------
% 1.51/0.58  % (2443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.58  % (2443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.58  % (2443)Termination reason: Refutation
% 1.51/0.58  
% 1.51/0.58  % (2443)Memory used [KB]: 1535
% 1.51/0.58  % (2443)Time elapsed: 0.159 s
% 1.51/0.58  % (2443)Instructions burned: 23 (million)
% 1.51/0.58  % (2443)------------------------------
% 1.51/0.58  % (2443)------------------------------
% 1.51/0.58  % (2436)Success in time 0.218 s
%------------------------------------------------------------------------------