TMTP Model File: GRP395-1.006-Sat

View Problem - Process Model

%------------------------------------------------------------------------------
% File       : Vampire---4.0
% Problem    : GRP395-1 : TPTP v6.2.0. Released v2.5.0.
% Transform  : none
% Format     : tptp:raw
% Command    : vampire --mode casc -t %d %s

% Computer   : n192.star.cs.uiowa.edu
% Model      : x86_64 x86_64
% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory     : 32286.75MB
% OS         : Linux 2.6.32-504.23.4.el6.x86_64
% CPULimit   : 300s
% DateTime   : Wed Jul  8 11:07:54 EDT 2015

% Result     : Satisfiable 13.10s
% Output     : Saturation 13.10s
% Verified   : 
% Statistics : Number of clauses        :   19 (  19 expanded)
%              Number of leaves         :   19 (  19 expanded)
%              Depth                    :    0
%              Number of atoms          :   49 (  49 expanded)
%              Number of equality atoms :    0 (   0 expanded)
%              Maximal clause size      :    6 (   3 average)
%              Maximal term depth       :    2 (   1 average)

% Comments   : 
%------------------------------------------------------------------------------
%----WARNING: Vampire---4.0 format not known, defaulting to TPTP
cnf(u30,axiom,
    ( sQ0_eqProxy(X0,X0) )).

cnf(identity_in_group,axiom,
    ( group_member(identity_for(X0),X0) )).

cnf(left_identity,axiom,
    ( product(X0,identity_for(X0),X1,X1) )).

cnf(right_identity,axiom,
    ( product(X0,X1,identity_for(X0),X1) )).

cnf(u31,axiom,
    ( sQ0_eqProxy(X1,X0)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(inverse_in_group,axiom,
    ( group_member(inverse(X0,X1),X0)
    | ~ group_member(X1,X0) )).

cnf(left_inverse,axiom,
    ( product(X0,inverse(X0,X1),X1,identity_for(X0)) )).

cnf(right_inverse,axiom,
    ( product(X0,X1,inverse(X0,X1),identity_for(X0)) )).

cnf(u25,axiom,
    ( sQ0_eqProxy(identity_for(X0),identity_for(X1))
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u32,axiom,
    ( sQ0_eqProxy(X0,X2)
    | ~ sQ0_eqProxy(X1,X2)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(total_function1_2,axiom,
    ( group_member(multiply(X0,X1,X2),X0)
    | ~ group_member(X2,X0)
    | ~ group_member(X1,X0) )).

cnf(u28,axiom,
    ( group_member(X1,X3)
    | ~ sQ0_eqProxy(X2,X3)
    | ~ group_member(X0,X2)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u24,axiom,
    ( sQ0_eqProxy(X3,X4)
    | ~ product(X0,X1,X2,X4)
    | ~ product(X0,X1,X2,X3) )).

cnf(u26,axiom,
    ( sQ0_eqProxy(inverse(X0,X2),inverse(X1,X3))
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(total_function1_1,axiom,
    ( product(X0,X1,X2,multiply(X0,X1,X2))
    | ~ group_member(X2,X0)
    | ~ group_member(X1,X0) )).

cnf(u27,axiom,
    ( sQ0_eqProxy(multiply(X0,X2,X4),multiply(X1,X3,X5))
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X4,X5)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(associativity1,axiom,
    ( product(X0,X1,X6,X7)
    | ~ product(X0,X5,X3,X7)
    | ~ product(X0,X2,X3,X6)
    | ~ product(X0,X1,X2,X5) )).

cnf(associativity2,axiom,
    ( product(X0,X5,X3,X7)
    | ~ product(X0,X1,X6,X7)
    | ~ product(X0,X2,X3,X6)
    | ~ product(X0,X1,X2,X5) )).

cnf(u29,axiom,
    ( product(X1,X3,X5,X7)
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X4,X5)
    | ~ sQ0_eqProxy(X6,X7)
    | ~ product(X0,X2,X4,X6)
    | ~ sQ0_eqProxy(X0,X1) )).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : GRP395-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.03  % Command    : vampire --mode casc -t %d %s
% 0.03/1.07  % Computer   : n192.star.cs.uiowa.edu
% 0.03/1.07  % Model      : x86_64 x86_64
% 0.03/1.07  % CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/1.07  % Memory     : 32286.75MB
% 0.03/1.07  % OS         : Linux 2.6.32-504.23.4.el6.x86_64
% 0.03/1.07  % CPULimit   : 300
% 0.03/1.07  % DateTime   : Tue Jul  7 10:54:13 CDT 2015
% 0.03/1.07  % CPUTime    : 
% 0.03/1.07  Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
% 0.03/1.07  % remaining time: 3000 next slice time: 130
% 0.03/1.08  lrs+11_2:3_cond=on:gs=on:gsem=on:lwlo=on:nwc=1.7:sas=minisat:stl=30:spl=off:updr=off_123 on theBenchmark
% 13.10/14.18  % (28320)Time limit reached!
% 13.10/14.18  % ------------------------------
% 13.10/14.18  % Version: Vampire 4.0 (commit 2df2fce on 2015-07-07 02:33:56 +0100)
% 13.10/14.18  % Termination reason: Time limit
% 13.10/14.18  % Termination phase: Saturation
% 13.10/14.18  
% 13.10/14.18  % Active clauses: 16459
% 13.10/14.18  % Passive clauses: 34339
% 13.10/14.18  % Generated clauses: 88343
% 13.10/14.18  % Final active clauses: 16458
% 13.10/14.18  % Final passive clauses: 17870
% 13.10/14.18  % Input clauses: 11
% 13.10/14.18  % Initial clauses: 11
% 13.10/14.18  % 
% 13.10/14.18  % Duplicate literals: 31
% 13.10/14.18  % Fw subsumption resolutions: 65
% 13.10/14.18  % Fw demodulations: 38860
% 13.10/14.18  % Bw demodulations: 11
% 13.10/14.18  % 
% 13.10/14.18  % Simple tautologies: 362
% 13.10/14.18  % Equational tautologies: 6
% 13.10/14.18  % Forward subsumptions: 14678
% 13.10/14.18  % 
% 13.10/14.18  % Binary resolution: 49283
% 13.10/14.18  % Forward superposition: 68
% 13.10/14.18  % Backward superposition: 14
% 13.10/14.18  % 
% 13.10/14.18  % SAT solver clauses: 34341
% 13.10/14.18  % SAT solver unit clauses: 9
% 13.10/14.18  % SAT solver binary clauses: 2104
% 13.10/14.18  % 
% 13.10/14.18  % Memory used [KB]: 156330
% 13.10/14.18  % Time elapsed: 13.100 s
% 13.10/14.18  % ------------------------------
% 13.10/14.18  ----  Runtime statistics ----
% 13.10/14.18  clauses created: 88343
% 13.10/14.18  clauses deleted: 52234
% 13.10/14.18  -----------------------------
% 13.10/14.18  % ------------------------------
% 13.10/14.19  % remaining time: 2868 next slice time: 4
% 13.10/14.19  ins+11_3:1_cond=fast:fde=unused:gs=on:igbrr=0.6:igrr=16/1:igrp=400:igrpq=1.1:igs=1002:igwr=on:nwc=1:spl=off_2 on theBenchmark
% 13.10/14.19  % SZS status Satisfiable for theBenchmark
% 13.10/14.19  Satisfiable!
% 13.10/14.19  % # SZS output start Saturation.
% 13.10/14.19  cnf(u30,axiom,
% 13.10/14.19      sQ0_eqProxy(X0,X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(identity_in_group,axiom,
% 13.10/14.19      group_member(identity_for(X0),X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(left_identity,axiom,
% 13.10/14.19      product(X0,identity_for(X0),X1,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(right_identity,axiom,
% 13.10/14.19      product(X0,X1,identity_for(X0),X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(u31,axiom,
% 13.10/14.19      sQ0_eqProxy(X1,X0) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(inverse_in_group,axiom,
% 13.10/14.19      group_member(inverse(X0,X1),X0) | ~group_member(X1,X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(left_inverse,axiom,
% 13.10/14.19      product(X0,inverse(X0,X1),X1,identity_for(X0))).
% 13.10/14.19  
% 13.10/14.19  cnf(right_inverse,axiom,
% 13.10/14.19      product(X0,X1,inverse(X0,X1),identity_for(X0))).
% 13.10/14.19  
% 13.10/14.19  cnf(u25,axiom,
% 13.10/14.19      sQ0_eqProxy(identity_for(X0),identity_for(X1)) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(u32,axiom,
% 13.10/14.19      sQ0_eqProxy(X0,X2) | ~sQ0_eqProxy(X1,X2) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(total_function1_2,axiom,
% 13.10/14.19      group_member(multiply(X0,X1,X2),X0) | ~group_member(X2,X0) | ~group_member(X1,X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(u28,axiom,
% 13.10/14.19      group_member(X1,X3) | ~sQ0_eqProxy(X2,X3) | ~group_member(X0,X2) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(u24,axiom,
% 13.10/14.19      sQ0_eqProxy(X3,X4) | ~product(X0,X1,X2,X4) | ~product(X0,X1,X2,X3)).
% 13.10/14.19  
% 13.10/14.19  cnf(u26,axiom,
% 13.10/14.19      sQ0_eqProxy(inverse(X0,X2),inverse(X1,X3)) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(total_function1_1,axiom,
% 13.10/14.19      product(X0,X1,X2,multiply(X0,X1,X2)) | ~group_member(X2,X0) | ~group_member(X1,X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(u27,axiom,
% 13.10/14.19      sQ0_eqProxy(multiply(X0,X2,X4),multiply(X1,X3,X5)) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X4,X5) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(associativity1,axiom,
% 13.10/14.19      product(X0,X1,X6,X7) | ~product(X0,X5,X3,X7) | ~product(X0,X2,X3,X6) | ~product(X0,X1,X2,X5)).
% 13.10/14.19  
% 13.10/14.19  cnf(associativity2,axiom,
% 13.10/14.19      product(X0,X5,X3,X7) | ~product(X0,X1,X6,X7) | ~product(X0,X2,X3,X6) | ~product(X0,X1,X2,X5)).
% 13.10/14.19  
% 13.10/14.19  cnf(u29,axiom,
% 13.10/14.19      product(X1,X3,X5,X7) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X4,X5) | ~sQ0_eqProxy(X6,X7) | ~product(X0,X2,X4,X6) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  % # SZS output end Saturation.
% 13.10/14.19  % ------------------------------
% 13.10/14.19  % Version: Vampire 4.0 (commit 2df2fce on 2015-07-07 02:33:56 +0100)
% 13.10/14.19  % Termination reason: Satisfiable
% 13.10/14.19  
% 13.10/14.19  % Input clauses: 11
% 13.10/14.19  % Initial clauses: 11
% 13.10/14.19  % 
% 13.10/14.19  % SAT solver clauses: 86
% 13.10/14.19  % SAT solver unit clauses: 24
% 13.10/14.19  % SAT solver binary clauses: 22
% 13.10/14.19  % 
% 13.10/14.19  % InstGen kept clauses: 38
% 13.10/14.19  % InstGen iterations: 2
% 13.10/14.19  % 
% 13.10/14.19  % TWLsolver clauses: 64
% 13.10/14.19  % TWLsolver calls for satisfiability: 497
% 13.10/14.19  % 
% 13.10/14.19  % Memory used [KB]: 767
% 13.10/14.19  % Time elapsed: 0.002 s
% 13.10/14.19  % ------------------------------
% 13.10/14.19  ----  Runtime statistics ----
% 13.10/14.19  clauses created: 31
% 13.10/14.19  -----------------------------
% 13.10/14.19  % ------------------------------
% 13.10/14.19  % Success in time 13.122 s
%------------------------------------------------------------------------------