TSTP Solution File: ITP001+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 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 : n020.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 17:20:06 EDT 2022

% Result   : Theorem 0.20s 0.72s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   26 (  11 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   25 (  12   ~;   7   |;   3   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   5   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f139,plain,
    $false,
    inference(subsumption_resolution,[],[f133,f138]) ).

fof(f138,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(trivial_inequality_removal,[],[f99]) ).

fof(f99,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | s(tyop_2Emin_2Ebool,sK0) != s(tyop_2Emin_2Ebool,sK0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | s(tyop_2Emin_2Ebool,sK0) != s(tyop_2Emin_2Ebool,sK0) )
    & ( ! [X1] : s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1)
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f57,f58]) ).

fof(f58,plain,
    ( ? [X0] : s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X0)
   => s(tyop_2Emin_2Ebool,sK0) != s(tyop_2Emin_2Ebool,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | ? [X0] : s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X0) )
    & ( ! [X1] : s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1)
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | ? [X0] : s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X0) )
    & ( ! [X0] : s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X0)
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
  <=> ! [X0] : s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X0) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ( ! [X8] : s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X8)
  <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).

fof(f133,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(flattening,[],[f25]) ).

fof(f25,negated_conjecture,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(negated_conjecture,[],[f24]) ).

fof(f24,conjecture,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.24  % Problem    : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.25  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.17/0.54  % Computer : n020.cluster.edu
% 0.17/0.54  % Model    : x86_64 x86_64
% 0.17/0.54  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.54  % Memory   : 8042.1875MB
% 0.17/0.54  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.54  % CPULimit   : 300
% 0.17/0.54  % WCLimit    : 300
% 0.17/0.54  % DateTime   : Mon Aug 29 23:26:16 EDT 2022
% 0.17/0.54  % CPUTime    : 
% 0.20/0.71  % (16750)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.72  % (16756)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.72  % (16743)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.72  % (16736)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.72  % (16733)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.72  % (16755)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.72  % (16733)First to succeed.
% 0.20/0.72  % (16753)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.72  % (16733)Refutation found. Thanks to Tanya!
% 0.20/0.72  % SZS status Theorem for theBenchmark
% 0.20/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.72  % (16733)------------------------------
% 0.20/0.72  % (16733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.72  % (16733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.72  % (16733)Termination reason: Refutation
% 0.20/0.72  
% 0.20/0.72  % (16733)Memory used [KB]: 5500
% 0.20/0.72  % (16733)Time elapsed: 0.003 s
% 0.20/0.72  % (16733)Instructions burned: 4 (million)
% 0.20/0.72  % (16733)------------------------------
% 0.20/0.72  % (16733)------------------------------
% 0.20/0.72  % (16731)Success in time 0.173 s
%------------------------------------------------------------------------------