TMTP Model File: BOO037-1.003-Sat

View Problem - Process Model

%------------------------------------------------------------------------------
% File       : Vampire---4.0
% Problem    : BOO037-1 : TPTP v6.2.0. Released v2.5.0.
% Transform  : none
% Format     : tptp:raw
% Command    : vampire --mode casc -t %d %s

% Computer   : n163.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 09:59:56 EDT 2015

% Result     : Satisfiable 13.10s
% Output     : Saturation 13.10s
% Verified   : 
% Statistics : Number of clauses        :   30 (  30 expanded)
%              Number of leaves         :   30 (  30 expanded)
%              Depth                    :    0
%              Number of atoms          :   84 (  84 expanded)
%              Number of equality atoms :    0 (   0 expanded)
%              Maximal clause size      :    5 (   3 average)
%              Maximal term depth       :    2 (   1 average)

% Comments   : 
%------------------------------------------------------------------------------
%----WARNING: Vampire---4.0 format not known, defaulting to TPTP
cnf(u53,axiom,
    ( sQ0_eqProxy(X0,X0) )).

cnf(additive_identity1,axiom,
    ( sum(additive_identity,X0,X0) )).

cnf(additive_identity2,axiom,
    ( sum(X0,additive_identity,X0) )).

cnf(multiplicative_identity1,axiom,
    ( product(multiplicative_identity,X0,X0) )).

cnf(multiplicative_identity2,axiom,
    ( product(X0,multiplicative_identity,X0) )).

cnf(additive_inverse1,axiom,
    ( sum(inverse(X0),X0,multiplicative_identity) )).

cnf(additive_inverse2,axiom,
    ( sum(X0,inverse(X0),multiplicative_identity) )).

cnf(multiplicative_inverse1,axiom,
    ( product(inverse(X0),X0,additive_identity) )).

cnf(multiplicative_inverse2,axiom,
    ( product(X0,inverse(X0),additive_identity) )).

cnf(closure_of_addition,axiom,
    ( sum(X0,X1,add(X0,X1)) )).

cnf(closure_of_multiplication,axiom,
    ( product(X0,X1,multiply(X0,X1)) )).

cnf(u54,axiom,
    ( sQ0_eqProxy(X1,X0)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(commutativity_of_addition,axiom,
    ( sum(X1,X0,X2)
    | ~ sum(X0,X1,X2) )).

cnf(commutativity_of_multiplication,axiom,
    ( product(X1,X0,X2)
    | ~ product(X0,X1,X2) )).

cnf(u50,axiom,
    ( sQ0_eqProxy(inverse(X0),inverse(X1))
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u55,axiom,
    ( sQ0_eqProxy(X0,X2)
    | ~ sQ0_eqProxy(X1,X2)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u46,axiom,
    ( sQ0_eqProxy(X7,X8)
    | ~ sum(X0,X1,X8)
    | ~ sum(X0,X1,X7) )).

cnf(u47,axiom,
    ( sQ0_eqProxy(X7,X8)
    | ~ product(X0,X1,X8)
    | ~ product(X0,X1,X7) )).

cnf(u48,axiom,
    ( sQ0_eqProxy(add(X0,X2),add(X1,X3))
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u49,axiom,
    ( sQ0_eqProxy(multiply(X0,X2),multiply(X1,X3))
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u51,axiom,
    ( sum(X1,X3,X5)
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X4,X5)
    | ~ sum(X0,X2,X4)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u52,axiom,
    ( product(X1,X3,X5)
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X4,X5)
    | ~ product(X0,X2,X4)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(distributivity1,axiom,
    ( sum(X3,X4,X6)
    | ~ product(X0,X5,X6)
    | ~ sum(X1,X2,X5)
    | ~ product(X0,X2,X4)
    | ~ product(X0,X1,X3) )).

cnf(distributivity2,axiom,
    ( product(X0,X5,X6)
    | ~ sum(X3,X4,X6)
    | ~ sum(X1,X2,X5)
    | ~ product(X0,X2,X4)
    | ~ product(X0,X1,X3) )).

cnf(distributivity3,axiom,
    ( sum(X3,X4,X6)
    | ~ product(X5,X0,X6)
    | ~ sum(X1,X2,X5)
    | ~ product(X2,X0,X4)
    | ~ product(X1,X0,X3) )).

cnf(distributivity4,axiom,
    ( product(X5,X0,X6)
    | ~ sum(X3,X4,X6)
    | ~ sum(X1,X2,X5)
    | ~ product(X2,X0,X4)
    | ~ product(X1,X0,X3) )).

cnf(distributivity5,axiom,
    ( product(X3,X4,X6)
    | ~ sum(X0,X5,X6)
    | ~ product(X1,X2,X5)
    | ~ sum(X0,X2,X4)
    | ~ sum(X0,X1,X3) )).

cnf(distributivity6,axiom,
    ( sum(X0,X5,X6)
    | ~ product(X3,X4,X6)
    | ~ product(X1,X2,X5)
    | ~ sum(X0,X2,X4)
    | ~ sum(X0,X1,X3) )).

cnf(distributivity7,axiom,
    ( product(X3,X4,X6)
    | ~ sum(X5,X0,X6)
    | ~ product(X1,X2,X5)
    | ~ sum(X2,X0,X4)
    | ~ sum(X1,X0,X3) )).

cnf(distributivity8,axiom,
    ( sum(X5,X0,X6)
    | ~ product(X3,X4,X6)
    | ~ product(X1,X2,X5)
    | ~ sum(X2,X0,X4)
    | ~ sum(X1,X0,X3) )).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : BOO037-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.03  % Command    : vampire --mode casc -t %d %s
% 0.02/1.07  % Computer   : n163.star.cs.uiowa.edu
% 0.02/1.07  % Model      : x86_64 x86_64
% 0.02/1.07  % CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/1.07  % Memory     : 32286.75MB
% 0.02/1.07  % OS         : Linux 2.6.32-504.23.4.el6.x86_64
% 0.02/1.07  % CPULimit   : 300
% 0.02/1.07  % DateTime   : Tue Jul  7 12:50:43 CDT 2015
% 0.02/1.07  % CPUTime    : 
% 0.02/1.07  Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
% 0.02/1.07  % remaining time: 3000 next slice time: 130
% 0.02/1.08  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  % (36250)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: 2635
% 13.10/14.18  % Passive clauses: 33542
% 13.10/14.18  % Generated clauses: 677434
% 13.10/14.18  % Final active clauses: 2043
% 13.10/14.18  % Final passive clauses: 6255
% 13.10/14.18  % Input clauses: 22
% 13.10/14.18  % Initial clauses: 22
% 13.10/14.18  % Discarded non-redundant clauses: 366061
% 13.10/14.18  % 
% 13.10/14.18  % Fw subsumption resolutions: 45
% 13.10/14.18  % Fw demodulations: 275647
% 13.10/14.18  % Bw demodulations: 6517
% 13.10/14.18  % 
% 13.10/14.18  % Simple tautologies: 1083
% 13.10/14.18  % Equational tautologies: 1183
% 13.10/14.18  % Forward subsumptions: 363846
% 13.10/14.18  % Fw demodulations to eq. taut.: 1894
% 13.10/14.18  % 
% 13.10/14.18  % Binary resolution: 87364
% 13.10/14.18  % Forward superposition: 189344
% 13.10/14.18  % Backward superposition: 118342
% 13.10/14.18  % Self superposition: 153
% 13.10/14.18  % 
% 13.10/14.18  % SAT solver clauses: 33543
% 13.10/14.18  % SAT solver unit clauses: 16084
% 13.10/14.18  % SAT solver binary clauses: 12870
% 13.10/14.18  % 
% 13.10/14.18  % Memory used [KB]: 236158
% 13.10/14.18  % Time elapsed: 13.100 s
% 13.10/14.18  % ------------------------------
% 13.10/14.18  ----  Runtime statistics ----
% 13.10/14.18  binary resolutions skipped for weight limit before building clause: 2714
% 13.10/14.18  binary resolutions skipped for weight limit while building clause: 41321
% 13.10/14.18  clauses created: 744630
% 13.10/14.18  clauses deleted: 706288
% 13.10/14.18  clauses discarded by weight limit in forward simplification: 143
% 13.10/14.18  clauses discarded from active on weight limit update: 270
% 13.10/14.18  clauses discarded from passive on weight limit update: 18457
% 13.10/14.18  superpositions skipped for weight limit while constructing other literals: 25872
% 13.10/14.18  superpositions weight skipped after rewrited literal weight retrieval: 277284
% 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(u53,axiom,
% 13.10/14.19      sQ0_eqProxy(X0,X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(additive_identity1,axiom,
% 13.10/14.19      sum(additive_identity,X0,X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(additive_identity2,axiom,
% 13.10/14.19      sum(X0,additive_identity,X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(multiplicative_identity1,axiom,
% 13.10/14.19      product(multiplicative_identity,X0,X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(multiplicative_identity2,axiom,
% 13.10/14.19      product(X0,multiplicative_identity,X0)).
% 13.10/14.19  
% 13.10/14.19  cnf(additive_inverse1,axiom,
% 13.10/14.19      sum(inverse(X0),X0,multiplicative_identity)).
% 13.10/14.19  
% 13.10/14.19  cnf(additive_inverse2,axiom,
% 13.10/14.19      sum(X0,inverse(X0),multiplicative_identity)).
% 13.10/14.19  
% 13.10/14.19  cnf(multiplicative_inverse1,axiom,
% 13.10/14.19      product(inverse(X0),X0,additive_identity)).
% 13.10/14.19  
% 13.10/14.19  cnf(multiplicative_inverse2,axiom,
% 13.10/14.19      product(X0,inverse(X0),additive_identity)).
% 13.10/14.19  
% 13.10/14.19  cnf(closure_of_addition,axiom,
% 13.10/14.19      sum(X0,X1,add(X0,X1))).
% 13.10/14.19  
% 13.10/14.19  cnf(closure_of_multiplication,axiom,
% 13.10/14.19      product(X0,X1,multiply(X0,X1))).
% 13.10/14.19  
% 13.10/14.19  cnf(u54,axiom,
% 13.10/14.19      sQ0_eqProxy(X1,X0) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(commutativity_of_addition,axiom,
% 13.10/14.19      sum(X1,X0,X2) | ~sum(X0,X1,X2)).
% 13.10/14.19  
% 13.10/14.19  cnf(commutativity_of_multiplication,axiom,
% 13.10/14.19      product(X1,X0,X2) | ~product(X0,X1,X2)).
% 13.10/14.19  
% 13.10/14.19  cnf(u50,axiom,
% 13.10/14.19      sQ0_eqProxy(inverse(X0),inverse(X1)) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(u55,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(u46,axiom,
% 13.10/14.19      sQ0_eqProxy(X7,X8) | ~sum(X0,X1,X8) | ~sum(X0,X1,X7)).
% 13.10/14.19  
% 13.10/14.19  cnf(u47,axiom,
% 13.10/14.19      sQ0_eqProxy(X7,X8) | ~product(X0,X1,X8) | ~product(X0,X1,X7)).
% 13.10/14.19  
% 13.10/14.19  cnf(u48,axiom,
% 13.10/14.19      sQ0_eqProxy(add(X0,X2),add(X1,X3)) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(u49,axiom,
% 13.10/14.19      sQ0_eqProxy(multiply(X0,X2),multiply(X1,X3)) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(u51,axiom,
% 13.10/14.19      sum(X1,X3,X5) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X4,X5) | ~sum(X0,X2,X4) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(u52,axiom,
% 13.10/14.19      product(X1,X3,X5) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X4,X5) | ~product(X0,X2,X4) | ~sQ0_eqProxy(X0,X1)).
% 13.10/14.19  
% 13.10/14.19  cnf(distributivity1,axiom,
% 13.10/14.19      sum(X3,X4,X6) | ~product(X0,X5,X6) | ~sum(X1,X2,X5) | ~product(X0,X2,X4) | ~product(X0,X1,X3)).
% 13.10/14.19  
% 13.10/14.19  cnf(distributivity2,axiom,
% 13.10/14.19      product(X0,X5,X6) | ~sum(X3,X4,X6) | ~sum(X1,X2,X5) | ~product(X0,X2,X4) | ~product(X0,X1,X3)).
% 13.10/14.19  
% 13.10/14.19  cnf(distributivity3,axiom,
% 13.10/14.19      sum(X3,X4,X6) | ~product(X5,X0,X6) | ~sum(X1,X2,X5) | ~product(X2,X0,X4) | ~product(X1,X0,X3)).
% 13.10/14.19  
% 13.10/14.19  cnf(distributivity4,axiom,
% 13.10/14.19      product(X5,X0,X6) | ~sum(X3,X4,X6) | ~sum(X1,X2,X5) | ~product(X2,X0,X4) | ~product(X1,X0,X3)).
% 13.10/14.19  
% 13.10/14.19  cnf(distributivity5,axiom,
% 13.10/14.19      product(X3,X4,X6) | ~sum(X0,X5,X6) | ~product(X1,X2,X5) | ~sum(X0,X2,X4) | ~sum(X0,X1,X3)).
% 13.10/14.19  
% 13.10/14.19  cnf(distributivity6,axiom,
% 13.10/14.19      sum(X0,X5,X6) | ~product(X3,X4,X6) | ~product(X1,X2,X5) | ~sum(X0,X2,X4) | ~sum(X0,X1,X3)).
% 13.10/14.19  
% 13.10/14.19  cnf(distributivity7,axiom,
% 13.10/14.19      product(X3,X4,X6) | ~sum(X5,X0,X6) | ~product(X1,X2,X5) | ~sum(X2,X0,X4) | ~sum(X1,X0,X3)).
% 13.10/14.19  
% 13.10/14.19  cnf(distributivity8,axiom,
% 13.10/14.19      sum(X5,X0,X6) | ~product(X3,X4,X6) | ~product(X1,X2,X5) | ~sum(X2,X0,X4) | ~sum(X1,X0,X3)).
% 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: 22
% 13.10/14.19  % Initial clauses: 22
% 13.10/14.19  % 
% 13.10/14.19  % SAT solver clauses: 128
% 13.10/14.19  % SAT solver unit clauses: 44
% 13.10/14.19  % SAT solver binary clauses: 24
% 13.10/14.19  % 
% 13.10/14.19  % InstGen kept clauses: 60
% 13.10/14.19  % InstGen iterations: 3
% 13.10/14.19  % 
% 13.10/14.19  % TWLsolver clauses: 92
% 13.10/14.19  % TWLsolver calls for satisfiability: 1016
% 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: 54
% 13.10/14.19  -----------------------------
% 13.10/14.19  % ------------------------------
% 13.10/14.19  % Success in time 13.122 s
%------------------------------------------------------------------------------