TMTP Model File: RNG042-1.003-Sat

View Problem - Process Model

%------------------------------------------------------------------------------
% File       : Vampire---4.0
% Problem    : RNG042-1 : TPTP v6.2.0. Released v2.5.0.
% Transform  : none
% Format     : tptp:raw
% Command    : vampire --mode casc -t %d %s

% Computer   : n123.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   : Thu Jul  9 22:24:21 EDT 2015

% Result     : Satisfiable 13.19s
% Output     : Saturation 13.19s
% Verified   : 
% Statistics : Number of clauses        :   25 (  25 expanded)
%              Number of leaves         :   25 (  25 expanded)
%              Depth                    :    0
%              Number of atoms          :   74 (  74 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(u43,axiom,
    ( sQ0_eqProxy(X0,X0) )).

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

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

cnf(left_inverse,axiom,
    ( sum(additive_inverse(X0),X0,additive_identity) )).

cnf(right_inverse,axiom,
    ( sum(X0,additive_inverse(X0),additive_identity) )).

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

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

cnf(u44,axiom,
    ( sQ0_eqProxy(X1,X0)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(commutativity_of_addition,axiom,
    ( sum(X1,X0,X3)
    | ~ sum(X0,X1,X3) )).

cnf(u40,axiom,
    ( sQ0_eqProxy(additive_inverse(X0),additive_inverse(X1))
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u45,axiom,
    ( sQ0_eqProxy(X0,X2)
    | ~ sQ0_eqProxy(X1,X2)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u36,axiom,
    ( sQ0_eqProxy(X2,X4)
    | ~ product(X0,X1,X4)
    | ~ product(X0,X1,X2) )).

cnf(u37,axiom,
    ( sQ0_eqProxy(X2,X4)
    | ~ sum(X0,X1,X4)
    | ~ sum(X0,X1,X2) )).

cnf(u38,axiom,
    ( sQ0_eqProxy(multiply(X0,X2),multiply(X1,X3))
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u39,axiom,
    ( sQ0_eqProxy(add(X0,X2),add(X1,X3))
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(associativity_of_addition1,axiom,
    ( sum(X0,X4,X5)
    | ~ sum(X2,X3,X5)
    | ~ sum(X1,X3,X4)
    | ~ sum(X0,X1,X2) )).

cnf(associativity_of_addition2,axiom,
    ( sum(X2,X3,X5)
    | ~ sum(X0,X4,X5)
    | ~ sum(X1,X3,X4)
    | ~ sum(X0,X1,X2) )).

cnf(associativity_of_multiplication1,axiom,
    ( product(X0,X4,X5)
    | ~ product(X2,X3,X5)
    | ~ product(X1,X3,X4)
    | ~ product(X0,X1,X2) )).

cnf(associativity_of_multiplication2,axiom,
    ( product(X2,X3,X5)
    | ~ product(X0,X4,X5)
    | ~ product(X1,X3,X4)
    | ~ product(X0,X1,X2) )).

cnf(u41,axiom,
    ( sum(X1,X3,X5)
    | ~ sQ0_eqProxy(X2,X3)
    | ~ sQ0_eqProxy(X4,X5)
    | ~ sum(X0,X2,X4)
    | ~ sQ0_eqProxy(X0,X1) )).

cnf(u42,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(X6,X7,X9)
    | ~ product(X0,X8,X9)
    | ~ product(X0,X3,X7)
    | ~ sum(X1,X3,X8)
    | ~ product(X0,X1,X6) )).

cnf(distributivity2,axiom,
    ( product(X0,X8,X9)
    | ~ product(X0,X3,X7)
    | ~ sum(X6,X7,X9)
    | ~ sum(X1,X3,X8)
    | ~ product(X0,X1,X6) )).

cnf(distributivity3,axiom,
    ( sum(X6,X7,X9)
    | ~ product(X8,X0,X9)
    | ~ product(X3,X0,X7)
    | ~ sum(X1,X3,X8)
    | ~ product(X1,X0,X6) )).

cnf(distributivity4,axiom,
    ( product(X8,X0,X9)
    | ~ product(X3,X0,X7)
    | ~ sum(X6,X7,X9)
    | ~ sum(X1,X3,X8)
    | ~ product(X1,X0,X6) )).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem    : RNG042-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.05  % Command    : vampire --mode casc -t %d %s
% 0.02/1.08  % Computer   : n123.star.cs.uiowa.edu
% 0.02/1.08  % Model      : x86_64 x86_64
% 0.02/1.08  % CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/1.08  % Memory     : 32286.75MB
% 0.02/1.08  % OS         : Linux 2.6.32-504.23.4.el6.x86_64
% 0.02/1.08  % CPULimit   : 300
% 0.02/1.08  % DateTime   : Tue Jul  7 11:35:27 CDT 2015
% 0.02/1.08  % CPUTime    : 
% 0.02/1.09  Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
% 0.02/1.09  % remaining time: 3000 next slice time: 130
% 0.02/1.10  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
% 13.08/14.19  % (17794)Time limit reached!
% 13.08/14.19  % ------------------------------
% 13.08/14.19  % Version: Vampire 4.0 (commit 2df2fce on 2015-07-07 02:33:56 +0100)
% 13.08/14.19  % Termination reason: Time limit
% 13.08/14.19  % Termination phase: Saturation
% 13.08/14.19  
% 13.08/14.19  % Active clauses: 1470
% 13.08/14.19  % Passive clauses: 11445
% 13.08/14.19  % Generated clauses: 431870
% 13.08/14.19  % Final active clauses: 1375
% 13.08/14.19  % Final passive clauses: 2606
% 13.08/14.19  % Input clauses: 17
% 13.08/14.19  % Initial clauses: 17
% 13.08/14.19  % Discarded non-redundant clauses: 299436
% 13.08/14.19  % 
% 13.08/14.19  % Fw subsumption resolutions: 196
% 13.08/14.19  % Fw demodulations: 250464
% 13.08/14.19  % Bw demodulations: 606
% 13.08/14.19  % Condensations: 4
% 13.08/14.19  % 
% 13.08/14.19  % Simple tautologies: 629
% 13.08/14.19  % Equational tautologies: 164
% 13.08/14.19  % Forward subsumptions: 166400
% 13.08/14.19  % Fw demodulations to eq. taut.: 2158
% 13.08/14.19  % 
% 13.08/14.19  % Binary resolution: 63183
% 13.08/14.19  % Forward superposition: 75522
% 13.08/14.19  % Backward superposition: 41772
% 13.08/14.19  % Self superposition: 106
% 13.08/14.19  % 
% 13.08/14.19  % SAT solver clauses: 11446
% 13.08/14.19  % SAT solver unit clauses: 4475
% 13.08/14.19  % SAT solver binary clauses: 6096
% 13.08/14.19  % 
% 13.08/14.19  % Memory used [KB]: 299611
% 13.08/14.19  % Time elapsed: 13.100 s
% 13.08/14.19  % ------------------------------
% 13.08/14.19  ----  Runtime statistics ----
% 13.08/14.19  binary resolutions skipped for weight limit before building clause: 224
% 13.08/14.19  binary resolutions skipped for weight limit while building clause: 42519
% 13.08/14.19  clauses created: 502372
% 13.08/14.19  clauses deleted: 485737
% 13.08/14.19  clauses discarded by weight limit in forward simplification: 86
% 13.08/14.19  clauses discarded from active on weight limit update: 71
% 13.08/14.19  clauses discarded from passive on weight limit update: 6787
% 13.08/14.19  superpositions skipped for weight limit while constructing other literals: 27983
% 13.08/14.19  superpositions weight skipped after rewrited literal weight retrieval: 221459
% 13.08/14.19  superpositions weight skipped after rewriter weight retrieval: 32
% 13.08/14.19  superpositions weight skipped early: 275
% 13.08/14.19  -----------------------------
% 13.08/14.19  % ------------------------------
% 13.19/14.21  % remaining time: 2868 next slice time: 4
% 13.19/14.21  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
% 13.19/14.21  % SZS status Satisfiable for theBenchmark
% 13.19/14.21  Satisfiable!
% 13.19/14.21  % # SZS output start Saturation.
% 13.19/14.21  cnf(u43,axiom,
% 13.19/14.21      sQ0_eqProxy(X0,X0)).
% 13.19/14.21  
% 13.19/14.21  cnf(additive_identity1,axiom,
% 13.19/14.21      sum(additive_identity,X0,X0)).
% 13.19/14.21  
% 13.19/14.21  cnf(additive_identity2,axiom,
% 13.19/14.21      sum(X0,additive_identity,X0)).
% 13.19/14.21  
% 13.19/14.21  cnf(left_inverse,axiom,
% 13.19/14.21      sum(additive_inverse(X0),X0,additive_identity)).
% 13.19/14.21  
% 13.19/14.21  cnf(right_inverse,axiom,
% 13.19/14.21      sum(X0,additive_inverse(X0),additive_identity)).
% 13.19/14.21  
% 13.19/14.21  cnf(closure_of_multiplication,axiom,
% 13.19/14.21      product(X0,X1,multiply(X0,X1))).
% 13.19/14.21  
% 13.19/14.21  cnf(closure_of_addition,axiom,
% 13.19/14.21      sum(X0,X1,add(X0,X1))).
% 13.19/14.21  
% 13.19/14.21  cnf(u44,axiom,
% 13.19/14.21      sQ0_eqProxy(X1,X0) | ~sQ0_eqProxy(X0,X1)).
% 13.19/14.21  
% 13.19/14.21  cnf(commutativity_of_addition,axiom,
% 13.19/14.21      sum(X1,X0,X3) | ~sum(X0,X1,X3)).
% 13.19/14.21  
% 13.19/14.21  cnf(u40,axiom,
% 13.19/14.21      sQ0_eqProxy(additive_inverse(X0),additive_inverse(X1)) | ~sQ0_eqProxy(X0,X1)).
% 13.19/14.21  
% 13.19/14.21  cnf(u45,axiom,
% 13.19/14.21      sQ0_eqProxy(X0,X2) | ~sQ0_eqProxy(X1,X2) | ~sQ0_eqProxy(X0,X1)).
% 13.19/14.21  
% 13.19/14.21  cnf(u36,axiom,
% 13.19/14.21      sQ0_eqProxy(X2,X4) | ~product(X0,X1,X4) | ~product(X0,X1,X2)).
% 13.19/14.21  
% 13.19/14.21  cnf(u37,axiom,
% 13.19/14.21      sQ0_eqProxy(X2,X4) | ~sum(X0,X1,X4) | ~sum(X0,X1,X2)).
% 13.19/14.21  
% 13.19/14.21  cnf(u38,axiom,
% 13.19/14.21      sQ0_eqProxy(multiply(X0,X2),multiply(X1,X3)) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X0,X1)).
% 13.19/14.21  
% 13.19/14.21  cnf(u39,axiom,
% 13.19/14.21      sQ0_eqProxy(add(X0,X2),add(X1,X3)) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X0,X1)).
% 13.19/14.21  
% 13.19/14.21  cnf(associativity_of_addition1,axiom,
% 13.19/14.21      sum(X0,X4,X5) | ~sum(X2,X3,X5) | ~sum(X1,X3,X4) | ~sum(X0,X1,X2)).
% 13.19/14.21  
% 13.19/14.21  cnf(associativity_of_addition2,axiom,
% 13.19/14.21      sum(X2,X3,X5) | ~sum(X0,X4,X5) | ~sum(X1,X3,X4) | ~sum(X0,X1,X2)).
% 13.19/14.21  
% 13.19/14.21  cnf(associativity_of_multiplication1,axiom,
% 13.19/14.21      product(X0,X4,X5) | ~product(X2,X3,X5) | ~product(X1,X3,X4) | ~product(X0,X1,X2)).
% 13.19/14.21  
% 13.19/14.21  cnf(associativity_of_multiplication2,axiom,
% 13.19/14.21      product(X2,X3,X5) | ~product(X0,X4,X5) | ~product(X1,X3,X4) | ~product(X0,X1,X2)).
% 13.19/14.21  
% 13.19/14.21  cnf(u41,axiom,
% 13.19/14.21      sum(X1,X3,X5) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X4,X5) | ~sum(X0,X2,X4) | ~sQ0_eqProxy(X0,X1)).
% 13.19/14.21  
% 13.19/14.21  cnf(u42,axiom,
% 13.19/14.21      product(X1,X3,X5) | ~sQ0_eqProxy(X2,X3) | ~sQ0_eqProxy(X4,X5) | ~product(X0,X2,X4) | ~sQ0_eqProxy(X0,X1)).
% 13.19/14.21  
% 13.19/14.21  cnf(distributivity1,axiom,
% 13.19/14.21      sum(X6,X7,X9) | ~product(X0,X8,X9) | ~product(X0,X3,X7) | ~sum(X1,X3,X8) | ~product(X0,X1,X6)).
% 13.19/14.21  
% 13.19/14.21  cnf(distributivity2,axiom,
% 13.19/14.21      product(X0,X8,X9) | ~product(X0,X3,X7) | ~sum(X6,X7,X9) | ~sum(X1,X3,X8) | ~product(X0,X1,X6)).
% 13.19/14.21  
% 13.19/14.21  cnf(distributivity3,axiom,
% 13.19/14.21      sum(X6,X7,X9) | ~product(X8,X0,X9) | ~product(X3,X0,X7) | ~sum(X1,X3,X8) | ~product(X1,X0,X6)).
% 13.19/14.21  
% 13.19/14.21  cnf(distributivity4,axiom,
% 13.19/14.21      product(X8,X0,X9) | ~product(X3,X0,X7) | ~sum(X6,X7,X9) | ~sum(X1,X3,X8) | ~product(X1,X0,X6)).
% 13.19/14.21  
% 13.19/14.21  % # SZS output end Saturation.
% 13.19/14.21  % ------------------------------
% 13.19/14.21  % Version: Vampire 4.0 (commit 2df2fce on 2015-07-07 02:33:56 +0100)
% 13.19/14.21  % Termination reason: Satisfiable
% 13.19/14.21  
% 13.19/14.21  % Input clauses: 17
% 13.19/14.21  % Initial clauses: 17
% 13.19/14.21  % 
% 13.19/14.21  % SAT solver clauses: 108
% 13.19/14.21  % SAT solver unit clauses: 28
% 13.19/14.21  % SAT solver binary clauses: 20
% 13.19/14.21  % 
% 13.19/14.21  % InstGen kept clauses: 50
% 13.19/14.21  % InstGen iterations: 3
% 13.19/14.21  % 
% 13.19/14.21  % TWLsolver clauses: 74
% 13.19/14.21  % TWLsolver calls for satisfiability: 870
% 13.19/14.21  % 
% 13.19/14.21  % Memory used [KB]: 767
% 13.19/14.21  % Time elapsed: 0.002 s
% 13.19/14.21  % ------------------------------
% 13.19/14.21  ----  Runtime statistics ----
% 13.19/14.21  clauses created: 44
% 13.19/14.21  -----------------------------
% 13.19/14.21  % ------------------------------
% 13.19/14.21  % Success in time 13.124 s
%------------------------------------------------------------------------------