TSTP Solution File: GRP128-3.004 by Mace4---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Mace4---1109a
% Problem  : GRP128-3.004 : TPTP v6.4.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : mace4 -t %d -f %s

% Computer : n111.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb  8 09:54:27 EST 2017

% Result   : Satisfiable 0.57s
% Output   : FiniteModel 0.57s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP128-3.004 : TPTP v6.4.0. Released v1.2.0.
% 0.00/0.04  % Command  : mace4 -t %d -f %s
% 0.03/0.23  % Computer : n111.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.75MB
% 0.03/0.23  % OS       : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Tue Feb  7 17:09:46 CST 2017
% 0.03/0.23  % CPUTime  : 
% 0.57/0.77  % SZS status Satisfiable
% 0.57/0.77  ============================== Mace4 =================================
% 0.57/0.77  Mace4 (32) version 2009-11A, November 2009.
% 0.57/0.77  Process 34403 was started by sandbox2 on n111.star.cs.uiowa.edu,
% 0.57/0.77  Tue Feb  7 17:09:46 2017
% 0.57/0.77  The command was "/export/starexec/sandbox2/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_34370_n111.star.cs.uiowa.edu".
% 0.57/0.77  ============================== end of head ===========================
% 0.57/0.77  
% 0.57/0.77  ============================== INPUT =================================
% 0.57/0.77  
% 0.57/0.77  % Reading from file /tmp/Mace4_input_34370_n111.star.cs.uiowa.edu
% 0.57/0.77  
% 0.57/0.77  set(prolog_style_variables).
% 0.57/0.77  set(print_models_tabular).
% 0.57/0.77      % set(print_models_tabular) -> clear(print_models).
% 0.57/0.77  
% 0.57/0.77  formulas(sos).
% 0.57/0.77  next(e_0,e_1) # label(e_0_then_e_1) # label(axiom).
% 0.57/0.77  next(e_1,e_2) # label(e_1_then_e_2) # label(axiom).
% 0.57/0.77  next(e_2,e_3) # label(e_2_then_e_3) # label(axiom).
% 0.57/0.77  next(e_3,e_4) # label(e_3_then_e_4) # label(axiom).
% 0.57/0.77  greater(e_1,e_0) # label(e_1_greater_e_0) # label(axiom).
% 0.57/0.77  greater(e_2,e_0) # label(e_2_greater_e_0) # label(axiom).
% 0.57/0.77  greater(e_3,e_0) # label(e_3_greater_e_0) # label(axiom).
% 0.57/0.77  greater(e_4,e_0) # label(e_4_greater_e_0) # label(axiom).
% 0.57/0.77  greater(e_2,e_1) # label(e_2_greater_e_1) # label(axiom).
% 0.57/0.77  greater(e_3,e_1) # label(e_3_greater_e_1) # label(axiom).
% 0.57/0.77  greater(e_4,e_1) # label(e_4_greater_e_1) # label(axiom).
% 0.57/0.77  greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom).
% 0.57/0.77  greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom).
% 0.57/0.77  greater(e_4,e_3) # label(e_4_greater_e_3) # label(axiom).
% 0.57/0.77  -cycle(X,Y) | -cycle(X,Z) | equalish(Y,Z) # label(cycle1) # label(axiom).
% 0.57/0.77  -group_element(X) | cycle(X,e_0) | cycle(X,e_1) | cycle(X,e_2) | cycle(X,e_3) # label(cycle2) # label(axiom).
% 0.57/0.77  cycle(e_4,e_0) # label(cycle3) # label(axiom).
% 0.57/0.77  -cycle(X,Y) | -cycle(W,Z) | -next(X,W) | -greater(Y,e_0) | -next(Z,Z1) | equalish(Y,Z1) # label(cycle4) # label(axiom).
% 0.57/0.77  -cycle(X,Z1) | -cycle(Y,e_0) | -cycle(W,Z2) | -next(Y,W) | -greater(Y,X) | -greater(Z1,Z2) # label(cycle5) # label(axiom).
% 0.57/0.77  -cycle(X,e_0) | -product(X,e_1,Y) | -greater(Y,X) # label(cycle6) # label(axiom).
% 0.57/0.77  -cycle(X,Y) | -product(X,e_1,Z) | -greater(Y,e_0) | -next(X,X1) | equalish(Z,X1) # label(cycle7) # label(axiom).
% 0.57/0.77  group_element(e_1) # label(element_1) # label(axiom).
% 0.57/0.77  group_element(e_2) # label(element_2) # label(axiom).
% 0.57/0.77  group_element(e_3) # label(element_3) # label(axiom).
% 0.57/0.77  group_element(e_4) # label(element_4) # label(axiom).
% 0.57/0.77  -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom).
% 0.57/0.77  -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom).
% 0.57/0.77  -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom).
% 0.57/0.77  -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom).
% 0.57/0.77  -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom).
% 0.57/0.77  -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom).
% 0.57/0.77  -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom).
% 0.57/0.77  -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom).
% 0.57/0.77  -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom).
% 0.57/0.77  -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom).
% 0.57/0.77  -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom).
% 0.57/0.77  -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom).
% 0.57/0.77  -group_element(X) | -group_element(Y) | product(X,Y,e_1) | product(X,Y,e_2) | product(X,Y,e_3) | product(X,Y,e_4) # label(product_total_function1) # label(axiom).
% 0.57/0.77  -product(X,Y,W) | -product(X,Y,Z) | equalish(W,Z) # label(product_total_function2) # label(axiom).
% 0.57/0.77  -product(X,W,Y) | -product(X,Z,Y) | equalish(W,Z) # label(product_right_cancellation) # label(axiom).
% 0.57/0.77  -product(W,Y,X) | -product(Z,Y,X) | equalish(W,Z) # label(product_left_cancellation) # label(axiom).
% 0.57/0.77  -product(X,Y,Z1) | -product(Z1,Y,Z2) | product(X,Z1,Z2) # label(qg3) # label(negated_conjecture).
% 0.57/0.77  end_of_list.
% 0.57/0.77  
% 0.57/0.77  % From the command line: assign(max_seconds, 300).
% 0.57/0.77  
% 0.57/0.77  ============================== end of input ==========================
% 0.57/0.77  
% 0.57/0.77  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.57/0.77  
% 0.57/0.77  % Formulas that are not ordinary clauses:
% 0.57/0.77  
% 0.57/0.77  ============================== end of process non-clausal formulas ===
% 0.57/0.77  
% 0.57/0.77  ============================== CLAUSES FOR SEARCH ====================
% 0.57/0.77  
% 0.57/0.77  formulas(mace4_clauses).
% 0.57/0.77  next(e_0,e_1) # label(e_0_then_e_1) # label(axiom).
% 0.57/0.77  next(e_1,e_2) # label(e_1_then_e_2) # label(axiom).
% 0.57/0.78  next(e_2,e_3) # label(e_2_then_e_3) # label(axiom).
% 0.57/0.78  next(e_3,e_4) # label(e_3_then_e_4) # label(axiom).
% 0.57/0.78  greater(e_1,e_0) # label(e_1_greater_e_0) # label(axiom).
% 0.57/0.78  greater(e_2,e_0) # label(e_2_greater_e_0) # label(axiom).
% 0.57/0.78  greater(e_3,e_0) # label(e_3_greater_e_0) # label(axiom).
% 0.57/0.78  greater(e_4,e_0) # label(e_4_greater_e_0) # label(axiom).
% 0.57/0.78  greater(e_2,e_1) # label(e_2_greater_e_1) # label(axiom).
% 0.57/0.78  greater(e_3,e_1) # label(e_3_greater_e_1) # label(axiom).
% 0.57/0.78  greater(e_4,e_1) # label(e_4_greater_e_1) # label(axiom).
% 0.57/0.78  greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom).
% 0.57/0.78  greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom).
% 0.57/0.78  greater(e_4,e_3) # label(e_4_greater_e_3) # label(axiom).
% 0.57/0.78  -cycle(A,B) | -cycle(A,C) | equalish(B,C) # label(cycle1) # label(axiom).
% 0.57/0.78  -group_element(A) | cycle(A,e_0) | cycle(A,e_1) | cycle(A,e_2) | cycle(A,e_3) # label(cycle2) # label(axiom).
% 0.57/0.78  cycle(e_4,e_0) # label(cycle3) # label(axiom).
% 0.57/0.78  -cycle(A,B) | -cycle(C,D) | -next(A,C) | -greater(B,e_0) | -next(D,E) | equalish(B,E) # label(cycle4) # label(axiom).
% 0.57/0.78  -cycle(A,B) | -cycle(C,e_0) | -cycle(D,E) | -next(C,D) | -greater(C,A) | -greater(B,E) # label(cycle5) # label(axiom).
% 0.57/0.78  -cycle(A,e_0) | -product(A,e_1,B) | -greater(B,A) # label(cycle6) # label(axiom).
% 0.57/0.78  -cycle(A,B) | -product(A,e_1,C) | -greater(B,e_0) | -next(A,D) | equalish(C,D) # label(cycle7) # label(axiom).
% 0.57/0.78  group_element(e_1) # label(element_1) # label(axiom).
% 0.57/0.78  group_element(e_2) # label(element_2) # label(axiom).
% 0.57/0.78  group_element(e_3) # label(element_3) # label(axiom).
% 0.57/0.78  group_element(e_4) # label(element_4) # label(axiom).
% 0.57/0.78  -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom).
% 0.57/0.78  -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom).
% 0.57/0.78  -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom).
% 0.57/0.78  -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom).
% 0.57/0.78  -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom).
% 0.57/0.78  -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom).
% 0.57/0.78  -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom).
% 0.57/0.78  -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom).
% 0.57/0.78  -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom).
% 0.57/0.78  -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom).
% 0.57/0.78  -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom).
% 0.57/0.78  -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom).
% 0.57/0.78  -group_element(A) | -group_element(B) | product(A,B,e_1) | product(A,B,e_2) | product(A,B,e_3) | product(A,B,e_4) # label(product_total_function1) # label(axiom).
% 0.57/0.78  -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom).
% 0.57/0.78  -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom).
% 0.57/0.78  -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom).
% 0.57/0.78  -product(A,B,C) | -product(C,B,D) | product(A,C,D) # label(qg3) # label(negated_conjecture).
% 0.57/0.78  end_of_list.
% 0.57/0.78  
% 0.57/0.78  ============================== end of clauses for search =============
% 0.57/0.78  % SZS output start FiniteModel
% 0.57/0.78  
% 0.57/0.78  % There are no natural numbers in the input.
% 0.57/0.78  
% 0.57/0.78   e_0 : 0
% 0.57/0.78  
% 0.57/0.78   e_1 : 1
% 0.57/0.78  
% 0.57/0.78   e_2 : 2
% 0.57/0.78  
% 0.57/0.78   e_3 : 3
% 0.57/0.78  
% 0.57/0.78   e_4 : 4
% 0.57/0.78  
% 0.57/0.78   group_element :
% 0.57/0.78          0 1 2 3 4
% 0.57/0.78      -------------
% 0.57/0.78          0 1 1 1 1
% 0.57/0.78  
% 0.57/0.78   cycle :
% 0.57/0.78        | 0 1 2 3 4
% 0.57/0.78      --+----------
% 0.57/0.78      0 | 0 0 0 0 0
% 0.57/0.78      1 | 1 0 0 0 0
% 0.57/0.78      2 | 0 0 1 0 0
% 0.57/0.78      3 | 0 1 0 0 0
% 0.57/0.78      4 | 1 0 0 0 0
% 0.57/0.78  
% 0.57/0.78   equalish :
% 0.57/0.78        | 0 1 2 3 4
% 0.57/0.78      --+----------
% 0.57/0.78      0 | 1 0 0 0 0
% 0.57/0.78      1 | 0 1 0 0 0
% 0.57/0.78      2 | 0 0 1 0 0
% 0.57/0.78      3 | 0 0 0 1 0
% 0.57/0.78      4 | 0 0 0 0 1
% 0.57/0.78  
% 0.57/0.78   greater :
% 0.57/0.78        | 0 1 2 3 4
% 0.57/0.78      --+----------
% 0.57/0.78      0 | 0 0 0 0 0
% 0.57/0.78      1 | 1 0 0 0 0
% 0.57/0.78      2 | 1 1 0 0 0
% 0.57/0.78      3 | 1 1 1 0 0
% 0.57/0.78      4 | 1 1 1 1 0
% 0.57/0.78  
% 0.57/0.78   next :
% 0.57/0.78        | 0 1 2 3 4
% 0.57/0.78      --+----------
% 0.57/0.78      0 | 0 1 0 0 0
% 0.57/0.78      1 | 0 0 1 0 0
% 0.57/0.78      2 | 0 0 0 1 0
% 0.57/0.78      3 | 0 0 0 0 1
% 0.57/0.78      4 | 0 0 0 0 0
% 0.57/0.78  product(0,0,0) = 0.
% 0.57/0.78  product(0,0,1) = 0.
% 0.57/0.78  product(0,0,2) = 0.
% 0.57/0.78  product(0,0,3) = 0.
% 0.57/0.78  product(0,0,4) = 0.
% 0.57/0.78  product(0,1,0) = 0.
% 0.57/0.78  product(0,1,1) = 0.
% 0.57/0.78  product(0,1,2) = 0.
% 0.57/0.78  product(0,1,3) = 0.
% 0.57/0.78  product(0,1,4) = 0.
% 0.57/0.78  product(0,2,0) = 0.
% 0.57/0.78  product(0,2,1) = 0.
% 0.57/0.78  product(0,2,2) = 0.
% 0.57/0.78  product(0,2,3) = 0.
% 0.57/0.78  product(0,2,4) = 0.
% 0.57/0.78  product(0,3,0) = 0.
% 0.57/0.78  product(0,3,1) = 0.
% 0.57/0.78  product(0,3,2) = 0.
% 0.57/0.78  product(0,3,3) = 0.
% 0.57/0.78  product(0,3,4) = 0.
% 0.57/0.78  product(0,4,0) = 0.
% 0.57/0.78  product(0,4,1) = 0.
% 0.57/0.78  product(0,4,2) = 0.
% 0.57/0.78  product(0,4,3) = 0.
% 0.57/0.78  product(0,4,4) = 0.
% 0.57/0.78  product(1,0,0) = 0.
% 0.57/0.78  product(1,0,1) = 0.
% 0.57/0.78  product(1,0,2) = 0.
% 0.57/0.78  product(1,0,3) = 0.
% 0.57/0.78  product(1,0,4) = 0.
% 0.57/0.78  product(1,1,0) = 0.
% 0.57/0.78  product(1,1,1) = 1.
% 0.57/0.78  product(1,1,2) = 0.
% 0.57/0.78  product(1,1,3) = 0.
% 0.57/0.78  product(1,1,4) = 0.
% 0.57/0.78  product(1,2,0) = 0.
% 0.57/0.78  product(1,2,1) = 0.
% 0.57/0.78  product(1,2,2) = 0.
% 0.57/0.78  product(1,2,3) = 0.
% 0.57/0.78  product(1,2,4) = 1.
% 0.57/0.78  product(1,3,0) = 0.
% 0.57/0.78  product(1,3,1) = 0.
% 0.57/0.78  product(1,3,2) = 1.
% 0.57/0.78  product(1,3,3) = 0.
% 0.57/0.78  product(1,3,4) = 0.
% 0.57/0.78  product(1,4,0) = 0.
% 0.57/0.78  product(1,4,1) = 0.
% 0.57/0.78  product(1,4,2) = 0.
% 0.57/0.78  product(1,4,3) = 1.
% 0.57/0.78  product(1,4,4) = 0.
% 0.57/0.78  product(2,0,0) = 0.
% 0.57/0.78  product(2,0,1) = 0.
% 0.57/0.78  product(2,0,2) = 0.
% 0.57/0.78  product(2,0,3) = 0.
% 0.57/0.78  product(2,0,4) = 0.
% 0.57/0.78  product(2,1,0) = 0.
% 0.57/0.78  product(2,1,1) = 0.
% 0.57/0.78  product(2,1,2) = 0.
% 0.57/0.78  product(2,1,3) = 1.
% 0.57/0.78  product(2,1,4) = 0.
% 0.57/0.78  product(2,2,0) = 0.
% 0.57/0.78  product(2,2,1) = 0.
% 0.57/0.78  product(2,2,2) = 1.
% 0.57/0.78  product(2,2,3) = 0.
% 0.57/0.78  product(2,2,4) = 0.
% 0.57/0.78  product(2,3,0) = 0.
% 0.57/0.78  product(2,3,1) = 0.
% 0.57/0.78  product(2,3,2) = 0.
% 0.57/0.78  product(2,3,3) = 0.
% 0.57/0.78  product(2,3,4) = 1.
% 0.57/0.78  product(2,4,0) = 0.
% 0.57/0.78  product(2,4,1) = 1.
% 0.57/0.78  product(2,4,2) = 0.
% 0.57/0.78  product(2,4,3) = 0.
% 0.57/0.78  product(2,4,4) = 0.
% 0.57/0.78  product(3,0,0) = 0.
% 0.57/0.78  product(3,0,1) = 0.
% 0.57/0.78  product(3,0,2) = 0.
% 0.57/0.78  product(3,0,3) = 0.
% 0.57/0.78  product(3,0,4) = 0.
% 0.57/0.78  product(3,1,0) = 0.
% 0.57/0.78  product(3,1,1) = 0.
% 0.57/0.78  product(3,1,2) = 0.
% 0.57/0.78  product(3,1,3) = 0.
% 0.57/0.78  product(3,1,4) = 1.
% 0.57/0.78  product(3,2,0) = 0.
% 0.57/0.78  product(3,2,1) = 1.
% 0.57/0.78  product(3,2,2) = 0.
% 0.57/0.78  product(3,2,3) = 0.
% 0.57/0.78  product(3,2,4) = 0.
% 0.57/0.78  product(3,3,0) = 0.
% 0.57/0.78  product(3,3,1) = 0.
% 0.57/0.78  product(3,3,2) = 0.
% 0.57/0.78  product(3,3,3) = 1.
% 0.57/0.78  product(3,3,4) = 0.
% 0.57/0.78  product(3,4,0) = 0.
% 0.57/0.78  product(3,4,1) = 0.
% 0.57/0.78  product(3,4,2) = 1.
% 0.57/0.78  product(3,4,3) = 0.
% 0.57/0.78  product(3,4,4) = 0.
% 0.57/0.78  product(4,0,0) = 0.
% 0.57/0.78  product(4,0,1) = 0.
% 0.57/0.78  product(4,0,2) = 0.
% 0.57/0.78  product(4,0,3) = 0.
% 0.57/0.78  product(4,0,4) = 0.
% 0.57/0.78  product(4,1,0) = 0.
% 0.57/0.78  product(4,1,1) = 0.
% 0.57/0.78  product(4,1,2) = 1.
% 0.57/0.78  product(4,1,3) = 0.
% 0.57/0.78  product(4,1,4) = 0.
% 0.57/0.78  product(4,2,0) = 0.
% 0.57/0.78  product(4,2,1) = 0.
% 0.57/0.78  product(4,2,2) = 0.
% 0.57/0.78  product(4,2,3) = 1.
% 0.57/0.78  product(4,2,4) = 0.
% 0.57/0.78  product(4,3,0) = 0.
% 0.57/0.78  product(4,3,1) = 1.
% 0.57/0.78  product(4,3,2) = 0.
% 0.57/0.78  product(4,3,3) = 0.
% 0.57/0.78  product(4,3,4) = 0.
% 0.57/0.78  product(4,4,0) = 0.
% 0.57/0.78  product(4,4,1) = 0.
% 0.57/0.78  product(4,4,2) = 0.
% 0.57/0.78  product(4,4,3) = 0.
% 0.57/0.78  product(4,4,4) = 1.
% 0.57/0.78  
% 0.57/0.78  % SZS output end FiniteModel
% 0.57/0.78  ------ process 34403 exit (max_models) ------
% 0.57/0.78  
% 0.57/0.78  User_CPU=0.35, System_CPU=0.00, Wall_clock=1.
% 0.57/0.78  
% 0.57/0.78  Exiting with 1 model.
% 0.57/0.78  
% 0.57/0.78  Process 34403 exit (max_models) Tue Feb  7 17:09:47 2017
% 0.57/0.78  The process finished Tue Feb  7 17:09:47 2017
% 0.57/0.78  Mace4 ended
%------------------------------------------------------------------------------