TSTP Solution File: SYN312-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN312-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% 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 : n012.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 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  16   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f201,plain,
    $false,
    inference(subsumption_resolution,[],[f200,f87]) ).

fof(f87,plain,
    p(d,a,c),
    inference(resolution,[],[f76,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0] :
      ( ~ p(X0,X3,X2)
      | p(X3,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f76,plain,
    p(a,d,c),
    inference(resolution,[],[f51,f6]) ).

fof(f6,axiom,
    p(a,f(b),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f51,plain,
    ! [X19] :
      ( ~ p(X19,f(b),c)
      | p(X19,d,c) ),
    inference(resolution,[],[f1,f7]) ).

fof(f7,axiom,
    p(f(b),d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ p(X3,X1,X2)
      | p(X0,X1,X2)
      | ~ p(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f200,plain,
    ~ p(d,a,c),
    inference(resolution,[],[f191,f26]) ).

fof(f26,plain,
    ! [X3,X4,X5] :
      ( p(X5,X4,g(X3))
      | ~ p(X3,X4,X5) ),
    inference(resolution,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0] :
      ( ~ p(X0,X3,X2)
      | p(X2,X3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( p(g(X0),X3,X2)
      | ~ p(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f191,plain,
    ~ p(c,a,g(d)),
    inference(resolution,[],[f70,f19]) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( p(X1,X0,f(X2))
      | ~ p(X0,X1,X2) ),
    inference(resolution,[],[f4,f3]) ).

fof(f4,axiom,
    ! [X2,X3,X0] :
      ( p(X0,X3,f(X2))
      | ~ p(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f70,plain,
    ~ p(a,c,f(g(d))),
    inference(resolution,[],[f68,f26]) ).

fof(f68,plain,
    ~ p(f(g(d)),c,g(a)),
    inference(resolution,[],[f66,f19]) ).

fof(f66,plain,
    ~ p(c,f(g(d)),f(g(a))),
    inference(resolution,[],[f33,f26]) ).

fof(f33,plain,
    ~ p(f(g(a)),f(g(d)),g(c)),
    inference(resolution,[],[f8,f4]) ).

fof(f8,axiom,
    ~ p(f(g(a)),f(g(d)),f(g(c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN312-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% 0.07/0.12  % 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 : n012.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 21:41:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (6013)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49  % (6021)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.49  % (6010)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50  % (6003)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)
% 0.19/0.50  % (6029)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.19/0.51  % (6002)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  % (6021)First to succeed.
% 0.19/0.51  % (6021)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  % (6021)------------------------------
% 0.19/0.51  % (6021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (6021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (6021)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (6021)Memory used [KB]: 5500
% 0.19/0.51  % (6021)Time elapsed: 0.115 s
% 0.19/0.51  % (6021)Instructions burned: 11 (million)
% 0.19/0.51  % (6021)------------------------------
% 0.19/0.51  % (6021)------------------------------
% 0.19/0.51  % (5999)Success in time 0.17 s
%------------------------------------------------------------------------------