TSTP Solution File: SYN313-1.001.002 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.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 19:37:27 EDT 2022

% Result   : Unsatisfiable 1.31s 0.52s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   23 (   5 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   41 (  14   ~;  27   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-1 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f269,plain,
    $false,
    inference(resolution,[],[f236,f203]) ).

fof(f203,plain,
    ! [X0] : ~ p(h2(f0(h1(f0(h0)))),X0,j2(X0)),
    inference(resolution,[],[f202,f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ p(h1(f0(h0)),X0,j1(X1))
      | ~ p(h2(X0),X1,j2(X1)) ),
    inference(resolution,[],[f93,f4]) ).

fof(f4,plain,
    ! [X3,X4,X5] :
      ( ~ p(h0,X3,j0(X4))
      | ~ p(h2(X5),X4,j2(X4))
      | ~ p(h1(X3),X5,j1(X4)) ),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X4,X5] :
      ( p(h0,X3,j0(X4))
      | p(h2(X5),X4,j2(X4))
      | p(h1(X3),X5,j1(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f93,plain,
    ! [X0] : p(h0,f0(h0),X0),
    inference(duplicate_literal_removal,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( p(h0,f0(h0),X0)
      | p(h0,f0(h0),X0) ),
    inference(resolution,[],[f79,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ p(h2(f0(h1(f1(X0)))),X1,j2(X1))
      | p(h0,f0(h0),X0) ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( p(h0,f0(h0),X0)
      | ~ p(h2(f0(h1(f1(X0)))),X1,j2(X1))
      | p(h0,f0(h0),X0) ),
    inference(resolution,[],[f71,f5]) ).

fof(f5,plain,
    ! [X2,X0,X1] :
      ( ~ p(h1(f1(X2)),X0,j1(X1))
      | ~ p(h2(X0),X1,j2(X1))
      | p(h0,f0(h0),X2) ),
    inference(resolution,[],[f4,f3]) ).

fof(f3,plain,
    ! [X2,X0,X1] :
      ( p(X0,f1(X1),X2)
      | p(X0,f0(X0),X1) ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ p(X0,f0(X0),X1)
      | ~ p(X0,f1(X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f71,plain,
    ! [X0,X1] :
      ( p(h1(f1(X0)),f0(h1(f1(X0))),X1)
      | p(h0,f0(h0),X0) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( p(h0,f0(h0),X0)
      | p(h0,f0(h0),X0)
      | p(h1(f1(X0)),f0(h1(f1(X0))),X1) ),
    inference(factoring,[],[f20]) ).

fof(f20,plain,
    ! [X3,X4,X5] :
      ( p(h1(f1(X5)),f0(h1(f1(X5))),X4)
      | p(h1(f1(X3)),f0(h1(f1(X3))),X4)
      | p(h0,f0(h0),X3)
      | p(h0,f0(h0),X5) ),
    inference(resolution,[],[f11,f7]) ).

fof(f7,plain,
    ! [X2,X0,X1] :
      ( ~ p(h2(f1(X0)),X1,j2(X1))
      | p(h1(f1(X2)),f0(h1(f1(X2))),X0)
      | p(h0,f0(h0),X2) ),
    inference(resolution,[],[f5,f3]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( p(h2(f1(X1)),f0(h2(f1(X1))),X2)
      | p(h1(f1(X0)),f0(h1(f1(X0))),X1)
      | p(h0,f0(h0),X0) ),
    inference(resolution,[],[f7,f3]) ).

fof(f79,plain,
    ! [X4,X5] :
      ( p(h2(f0(h1(f1(X4)))),f0(h2(f0(h1(f1(X4))))),X5)
      | p(h0,f0(h0),X4) ),
    inference(resolution,[],[f76,f3]) ).

fof(f202,plain,
    ! [X0] : p(h1(f0(h0)),f0(h1(f0(h0))),X0),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( p(h1(f0(h0)),f0(h1(f0(h0))),X0)
      | p(h1(f0(h0)),f0(h1(f0(h0))),X0) ),
    inference(resolution,[],[f125,f113]) ).

fof(f113,plain,
    ! [X6,X7] :
      ( ~ p(h2(f1(X6)),X7,j2(X7))
      | p(h1(f0(h0)),f0(h1(f0(h0))),X6) ),
    inference(resolution,[],[f110,f3]) ).

fof(f125,plain,
    ! [X8,X9] :
      ( p(h2(f1(X8)),f0(h2(f1(X8))),X9)
      | p(h1(f0(h0)),f0(h1(f0(h0))),X8) ),
    inference(resolution,[],[f113,f3]) ).

fof(f236,plain,
    ! [X4] : p(h2(f0(h1(f0(h0)))),f0(h2(f0(h1(f0(h0))))),X4),
    inference(resolution,[],[f203,f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:38:16 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (10884)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.50  % (10868)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.50  % (10876)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.51  % (10859)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.51  % (10858)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.51  % (10862)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.51  % (10858)Refutation not found, incomplete strategy% (10858)------------------------------
% 0.19/0.51  % (10858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (10858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (10858)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (10858)Memory used [KB]: 5373
% 0.19/0.51  % (10858)Time elapsed: 0.103 s
% 0.19/0.51  % (10858)------------------------------
% 0.19/0.51  % (10858)------------------------------
% 0.19/0.51  % (10861)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51  % (10860)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51  % (10873)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.51  % (10876)First to succeed.
% 0.19/0.51  % (10865)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.51  % (10865)Instruction limit reached!
% 0.19/0.51  % (10865)------------------------------
% 0.19/0.51  % (10865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.51  % (10863)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.31/0.51  % (10865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.51  % (10865)Termination reason: Unknown
% 1.31/0.51  % (10865)Termination phase: Saturation
% 1.31/0.51  
% 1.31/0.51  % (10865)Memory used [KB]: 5373
% 1.31/0.51  % (10865)Time elapsed: 0.118 s
% 1.31/0.51  % (10865)Instructions burned: 2 (million)
% 1.31/0.51  % (10865)------------------------------
% 1.31/0.51  % (10865)------------------------------
% 1.31/0.51  TRYING [1]
% 1.31/0.52  % (10879)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 1.31/0.52  % (10876)Refutation found. Thanks to Tanya!
% 1.31/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.31/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.52  % (10876)------------------------------
% 1.31/0.52  % (10876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (10876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (10876)Termination reason: Refutation
% 1.31/0.52  
% 1.31/0.52  % (10876)Memory used [KB]: 1151
% 1.31/0.52  % (10876)Time elapsed: 0.111 s
% 1.31/0.52  % (10876)Instructions burned: 11 (million)
% 1.31/0.52  % (10876)------------------------------
% 1.31/0.52  % (10876)------------------------------
% 1.31/0.52  % (10856)Success in time 0.173 s
%------------------------------------------------------------------------------