TSTP Solution File: GRP126-2.005 by Mace4---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Mace4---1109a
% Problem : GRP126-2.005 : TPTP v6.4.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -t %d -f %s
% Computer : n074.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 09:54:26 EST 2017
% Result : Satisfiable 0.07s
% Output : FiniteModel 0.07s
% 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 : GRP126-2.005 : TPTP v6.4.0. Released v1.2.0.
% 0.00/0.04 % Command : mace4 -t %d -f %s
% 0.03/0.23 % Computer : n074.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 17:10:01 CST 2017
% 0.03/0.24 % CPUTime :
% 0.07/0.44 % SZS status Satisfiable
% 0.07/0.44 ============================== Mace4 =================================
% 0.07/0.44 Mace4 (32) version 2009-11A, November 2009.
% 0.07/0.44 Process 10020 was started by sandbox2 on n074.star.cs.uiowa.edu,
% 0.07/0.44 Tue Feb 7 17:10:02 2017
% 0.07/0.44 The command was "/export/starexec/sandbox2/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_9987_n074.star.cs.uiowa.edu".
% 0.07/0.44 ============================== end of head ===========================
% 0.07/0.44
% 0.07/0.44 ============================== INPUT =================================
% 0.07/0.44
% 0.07/0.44 % Reading from file /tmp/Mace4_input_9987_n074.star.cs.uiowa.edu
% 0.07/0.44
% 0.07/0.44 set(prolog_style_variables).
% 0.07/0.44 set(print_models_tabular).
% 0.07/0.44 % set(print_models_tabular) -> clear(print_models).
% 0.07/0.44
% 0.07/0.44 formulas(sos).
% 0.07/0.44 next(e_1,e_2) # label(e_1_then_e_2) # label(axiom).
% 0.07/0.44 next(e_2,e_3) # label(e_2_then_e_3) # label(axiom).
% 0.07/0.44 next(e_3,e_4) # label(e_3_then_e_4) # label(axiom).
% 0.07/0.44 next(e_4,e_5) # label(e_4_then_e_5) # label(axiom).
% 0.07/0.44 greater(e_2,e_1) # label(e_2_greater_e_1) # label(axiom).
% 0.07/0.44 greater(e_3,e_1) # label(e_3_greater_e_1) # label(axiom).
% 0.07/0.44 greater(e_4,e_1) # label(e_4_greater_e_1) # label(axiom).
% 0.07/0.44 greater(e_5,e_1) # label(e_5_greater_e_1) # label(axiom).
% 0.07/0.44 greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom).
% 0.07/0.44 greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom).
% 0.07/0.44 greater(e_5,e_2) # label(e_5_greater_e_2) # label(axiom).
% 0.07/0.44 greater(e_4,e_3) # label(e_4_greater_e_3) # label(axiom).
% 0.07/0.44 greater(e_5,e_3) # label(e_5_greater_e_3) # label(axiom).
% 0.07/0.44 greater(e_5,e_4) # label(e_5_greater_e_4) # label(axiom).
% 0.07/0.44 -product(X,e_1,Y) | -next(X,X1) | -greater(Y,X1) # label(no_redundancy) # label(axiom).
% 0.07/0.44 group_element(e_1) # label(element_1) # label(axiom).
% 0.07/0.44 group_element(e_2) # label(element_2) # label(axiom).
% 0.07/0.44 group_element(e_3) # label(element_3) # label(axiom).
% 0.07/0.44 group_element(e_4) # label(element_4) # label(axiom).
% 0.07/0.44 group_element(e_5) # label(element_5) # label(axiom).
% 0.07/0.44 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom).
% 0.07/0.44 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom).
% 0.07/0.44 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom).
% 0.07/0.44 -equalish(e_1,e_5) # label(e_1_is_not_e_5) # label(axiom).
% 0.07/0.44 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom).
% 0.07/0.44 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom).
% 0.07/0.44 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom).
% 0.07/0.44 -equalish(e_2,e_5) # label(e_2_is_not_e_5) # label(axiom).
% 0.07/0.44 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom).
% 0.07/0.44 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom).
% 0.07/0.44 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom).
% 0.07/0.44 -equalish(e_3,e_5) # label(e_3_is_not_e_5) # label(axiom).
% 0.07/0.44 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom).
% 0.07/0.44 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom).
% 0.07/0.44 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom).
% 0.07/0.44 -equalish(e_4,e_5) # label(e_4_is_not_e_5) # label(axiom).
% 0.07/0.44 -equalish(e_5,e_1) # label(e_5_is_not_e_1) # label(axiom).
% 0.07/0.44 -equalish(e_5,e_2) # label(e_5_is_not_e_2) # label(axiom).
% 0.07/0.44 -equalish(e_5,e_3) # label(e_5_is_not_e_3) # label(axiom).
% 0.07/0.44 -equalish(e_5,e_4) # label(e_5_is_not_e_4) # label(axiom).
% 0.07/0.44 -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) | product(X,Y,e_5) # label(product_total_function1) # label(axiom).
% 0.07/0.44 -product(X,Y,W) | -product(X,Y,Z) | equalish(W,Z) # label(product_total_function2) # label(axiom).
% 0.07/0.44 -product(X,W,Y) | -product(X,Z,Y) | equalish(W,Z) # label(product_right_cancellation) # label(axiom).
% 0.07/0.44 -product(W,Y,X) | -product(Z,Y,X) | equalish(W,Z) # label(product_left_cancellation) # label(axiom).
% 0.07/0.44 product(X,X,X) # label(product_idempotence) # label(axiom).
% 0.07/0.44 -product(X,Y,Z1) | -product(Y,X,Z2) | product(Z1,Z2,Y) # label(qg4) # label(negated_conjecture).
% 0.07/0.44 end_of_list.
% 0.07/0.44
% 0.07/0.44 % From the command line: assign(max_seconds, 300).
% 0.07/0.44
% 0.07/0.44 ============================== end of input ==========================
% 0.07/0.44
% 0.07/0.44 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.07/0.44
% 0.07/0.44 % Formulas that are not ordinary clauses:
% 0.07/0.44
% 0.07/0.44 ============================== end of process non-clausal formulas ===
% 0.07/0.44
% 0.07/0.44 ============================== CLAUSES FOR SEARCH ====================
% 0.07/0.44
% 0.07/0.44 formulas(mace4_clauses).
% 0.07/0.44 next(e_1,e_2) # label(e_1_then_e_2) # label(axiom).
% 0.07/0.44 next(e_2,e_3) # label(e_2_then_e_3) # label(axiom).
% 0.07/0.44 next(e_3,e_4) # label(e_3_then_e_4) # label(axiom).
% 0.07/0.44 next(e_4,e_5) # label(e_4_then_e_5) # label(axiom).
% 0.07/0.44 greater(e_2,e_1) # label(e_2_greater_e_1) # label(axiom).
% 0.07/0.44 greater(e_3,e_1) # label(e_3_greater_e_1) # label(axiom).
% 0.07/0.44 greater(e_4,e_1) # label(e_4_greater_e_1) # label(axiom).
% 0.07/0.44 greater(e_5,e_1) # label(e_5_greater_e_1) # label(axiom).
% 0.07/0.44 greater(e_3,e_2) # label(e_3_greater_e_2) # label(axiom).
% 0.07/0.44 greater(e_4,e_2) # label(e_4_greater_e_2) # label(axiom).
% 0.07/0.44 greater(e_5,e_2) # label(e_5_greater_e_2) # label(axiom).
% 0.07/0.44 greater(e_4,e_3) # label(e_4_greater_e_3) # label(axiom).
% 0.07/0.44 greater(e_5,e_3) # label(e_5_greater_e_3) # label(axiom).
% 0.07/0.44 greater(e_5,e_4) # label(e_5_greater_e_4) # label(axiom).
% 0.07/0.44 -product(A,e_1,B) | -next(A,C) | -greater(B,C) # label(no_redundancy) # label(axiom).
% 0.07/0.44 group_element(e_1) # label(element_1) # label(axiom).
% 0.07/0.44 group_element(e_2) # label(element_2) # label(axiom).
% 0.07/0.44 group_element(e_3) # label(element_3) # label(axiom).
% 0.07/0.44 group_element(e_4) # label(element_4) # label(axiom).
% 0.07/0.44 group_element(e_5) # label(element_5) # label(axiom).
% 0.07/0.44 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom).
% 0.07/0.44 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom).
% 0.07/0.44 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom).
% 0.07/0.44 -equalish(e_1,e_5) # label(e_1_is_not_e_5) # label(axiom).
% 0.07/0.44 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom).
% 0.07/0.44 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom).
% 0.07/0.44 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom).
% 0.07/0.44 -equalish(e_2,e_5) # label(e_2_is_not_e_5) # label(axiom).
% 0.07/0.44 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom).
% 0.07/0.44 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom).
% 0.07/0.44 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom).
% 0.07/0.44 -equalish(e_3,e_5) # label(e_3_is_not_e_5) # label(axiom).
% 0.07/0.44 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom).
% 0.07/0.44 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom).
% 0.07/0.44 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom).
% 0.07/0.44 -equalish(e_4,e_5) # label(e_4_is_not_e_5) # label(axiom).
% 0.07/0.44 -equalish(e_5,e_1) # label(e_5_is_not_e_1) # label(axiom).
% 0.07/0.44 -equalish(e_5,e_2) # label(e_5_is_not_e_2) # label(axiom).
% 0.07/0.44 -equalish(e_5,e_3) # label(e_5_is_not_e_3) # label(axiom).
% 0.07/0.44 -equalish(e_5,e_4) # label(e_5_is_not_e_4) # label(axiom).
% 0.07/0.44 -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) | product(A,B,e_5) # label(product_total_function1) # label(axiom).
% 0.07/0.44 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom).
% 0.07/0.44 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom).
% 0.07/0.44 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom).
% 0.07/0.44 product(A,A,A) # label(product_idempotence) # label(axiom).
% 0.07/0.44 -product(A,B,C) | -product(B,A,D) | product(C,D,B) # label(qg4) # label(negated_conjecture).
% 0.07/0.44 end_of_list.
% 0.07/0.44
% 0.07/0.44 ============================== end of clauses for search =============
% 0.07/0.44 % SZS output start FiniteModel
% 0.07/0.44
% 0.07/0.44 % There are no natural numbers in the input.
% 0.07/0.44
% 0.07/0.44 e_1 : 0
% 0.07/0.44
% 0.07/0.44 e_2 : 1
% 0.07/0.44
% 0.07/0.44 e_3 : 2
% 0.07/0.44
% 0.07/0.44 e_4 : 3
% 0.07/0.44
% 0.07/0.44 e_5 : 4
% 0.07/0.44
% 0.07/0.44 group_element :
% 0.07/0.44 0 1 2 3 4
% 0.07/0.44 -------------
% 0.07/0.44 1 1 1 1 1
% 0.07/0.44
% 0.07/0.44 equalish :
% 0.07/0.44 | 0 1 2 3 4
% 0.07/0.44 --+----------
% 0.07/0.44 0 | 1 0 0 0 0
% 0.07/0.44 1 | 0 1 0 0 0
% 0.07/0.44 2 | 0 0 1 0 0
% 0.07/0.44 3 | 0 0 0 1 0
% 0.07/0.44 4 | 0 0 0 0 1
% 0.07/0.44
% 0.07/0.44 greater :
% 0.07/0.44 | 0 1 2 3 4
% 0.07/0.44 --+----------
% 0.07/0.44 0 | 0 0 0 0 0
% 0.07/0.44 1 | 1 0 0 0 0
% 0.07/0.44 2 | 1 1 0 0 0
% 0.07/0.44 3 | 1 1 1 0 0
% 0.07/0.44 4 | 1 1 1 1 0
% 0.07/0.44
% 0.07/0.44 next :
% 0.07/0.44 | 0 1 2 3 4
% 0.07/0.44 --+----------
% 0.07/0.44 0 | 0 1 0 0 0
% 0.07/0.44 1 | 0 0 1 0 0
% 0.07/0.44 2 | 0 0 0 1 0
% 0.07/0.44 3 | 0 0 0 0 1
% 0.07/0.44 4 | 0 0 0 0 0
% 0.07/0.44 product(0,0,0) = 1.
% 0.07/0.44 product(0,0,1) = 0.
% 0.07/0.44 product(0,0,2) = 0.
% 0.07/0.44 product(0,0,3) = 0.
% 0.07/0.44 product(0,0,4) = 0.
% 0.07/0.44 product(0,1,0) = 0.
% 0.07/0.44 product(0,1,1) = 0.
% 0.07/0.44 product(0,1,2) = 0.
% 0.07/0.44 product(0,1,3) = 0.
% 0.07/0.44 product(0,1,4) = 1.
% 0.07/0.44 product(0,2,0) = 0.
% 0.07/0.44 product(0,2,1) = 0.
% 0.07/0.44 product(0,2,2) = 0.
% 0.07/0.44 product(0,2,3) = 1.
% 0.07/0.44 product(0,2,4) = 0.
% 0.07/0.44 product(0,3,0) = 0.
% 0.07/0.44 product(0,3,1) = 1.
% 0.07/0.44 product(0,3,2) = 0.
% 0.07/0.44 product(0,3,3) = 0.
% 0.07/0.44 product(0,3,4) = 0.
% 0.07/0.44 product(0,4,0) = 0.
% 0.07/0.44 product(0,4,1) = 0.
% 0.07/0.44 product(0,4,2) = 1.
% 0.07/0.44 product(0,4,3) = 0.
% 0.07/0.44 product(0,4,4) = 0.
% 0.07/0.44 product(1,0,0) = 0.
% 0.07/0.44 product(1,0,1) = 0.
% 0.07/0.44 product(1,0,2) = 1.
% 0.07/0.44 product(1,0,3) = 0.
% 0.07/0.44 product(1,0,4) = 0.
% 0.07/0.44 product(1,1,0) = 0.
% 0.07/0.44 product(1,1,1) = 1.
% 0.07/0.44 product(1,1,2) = 0.
% 0.07/0.44 product(1,1,3) = 0.
% 0.07/0.44 product(1,1,4) = 0.
% 0.07/0.44 product(1,2,0) = 0.
% 0.07/0.44 product(1,2,1) = 0.
% 0.07/0.44 product(1,2,2) = 0.
% 0.07/0.44 product(1,2,3) = 0.
% 0.07/0.44 product(1,2,4) = 1.
% 0.07/0.44 product(1,3,0) = 1.
% 0.07/0.44 product(1,3,1) = 0.
% 0.07/0.44 product(1,3,2) = 0.
% 0.07/0.44 product(1,3,3) = 0.
% 0.07/0.44 product(1,3,4) = 0.
% 0.07/0.44 product(1,4,0) = 0.
% 0.07/0.44 product(1,4,1) = 0.
% 0.07/0.44 product(1,4,2) = 0.
% 0.07/0.44 product(1,4,3) = 1.
% 0.07/0.44 product(1,4,4) = 0.
% 0.07/0.44 product(2,0,0) = 0.
% 0.07/0.44 product(2,0,1) = 1.
% 0.07/0.44 product(2,0,2) = 0.
% 0.07/0.44 product(2,0,3) = 0.
% 0.07/0.44 product(2,0,4) = 0.
% 0.07/0.44 product(2,1,0) = 0.
% 0.07/0.44 product(2,1,1) = 0.
% 0.07/0.44 product(2,1,2) = 0.
% 0.07/0.44 product(2,1,3) = 1.
% 0.07/0.44 product(2,1,4) = 0.
% 0.07/0.44 product(2,2,0) = 0.
% 0.07/0.44 product(2,2,1) = 0.
% 0.07/0.44 product(2,2,2) = 1.
% 0.07/0.44 product(2,2,3) = 0.
% 0.07/0.44 product(2,2,4) = 0.
% 0.07/0.44 product(2,3,0) = 0.
% 0.07/0.44 product(2,3,1) = 0.
% 0.07/0.44 product(2,3,2) = 0.
% 0.07/0.44 product(2,3,3) = 0.
% 0.07/0.44 product(2,3,4) = 1.
% 0.07/0.44 product(2,4,0) = 1.
% 0.07/0.44 product(2,4,1) = 0.
% 0.07/0.44 product(2,4,2) = 0.
% 0.07/0.44 product(2,4,3) = 0.
% 0.07/0.44 product(2,4,4) = 0.
% 0.07/0.44 product(3,0,0) = 0.
% 0.07/0.44 product(3,0,1) = 0.
% 0.07/0.44 product(3,0,2) = 0.
% 0.07/0.44 product(3,0,3) = 0.
% 0.07/0.44 product(3,0,4) = 1.
% 0.07/0.44 product(3,1,0) = 0.
% 0.07/0.44 product(3,1,1) = 0.
% 0.07/0.44 product(3,1,2) = 1.
% 0.07/0.44 product(3,1,3) = 0.
% 0.07/0.44 product(3,1,4) = 0.
% 0.07/0.44 product(3,2,0) = 1.
% 0.07/0.44 product(3,2,1) = 0.
% 0.07/0.44 product(3,2,2) = 0.
% 0.07/0.44 product(3,2,3) = 0.
% 0.07/0.44 product(3,2,4) = 0.
% 0.07/0.44 product(3,3,0) = 0.
% 0.07/0.44 product(3,3,1) = 0.
% 0.07/0.44 product(3,3,2) = 0.
% 0.07/0.44 product(3,3,3) = 1.
% 0.07/0.44 product(3,3,4) = 0.
% 0.07/0.44 product(3,4,0) = 0.
% 0.07/0.44 product(3,4,1) = 1.
% 0.07/0.44 product(3,4,2) = 0.
% 0.07/0.44 product(3,4,3) = 0.
% 0.07/0.44 product(3,4,4) = 0.
% 0.07/0.44 product(4,0,0) = 0.
% 0.07/0.44 product(4,0,1) = 0.
% 0.07/0.44 product(4,0,2) = 0.
% 0.07/0.44 product(4,0,3) = 1.
% 0.07/0.44 product(4,0,4) = 0.
% 0.07/0.44 product(4,1,0) = 1.
% 0.07/0.44 product(4,1,1) = 0.
% 0.07/0.44 product(4,1,2) = 0.
% 0.07/0.44 product(4,1,3) = 0.
% 0.07/0.44 product(4,1,4) = 0.
% 0.07/0.44 product(4,2,0) = 0.
% 0.07/0.44 product(4,2,1) = 1.
% 0.07/0.44 product(4,2,2) = 0.
% 0.07/0.44 product(4,2,3) = 0.
% 0.07/0.44 product(4,2,4) = 0.
% 0.07/0.44 product(4,3,0) = 0.
% 0.07/0.44 product(4,3,1) = 0.
% 0.07/0.44 product(4,3,2) = 1.
% 0.07/0.44 product(4,3,3) = 0.
% 0.07/0.44 product(4,3,4) = 0.
% 0.07/0.44 product(4,4,0) = 0.
% 0.07/0.44 product(4,4,1) = 0.
% 0.07/0.44 product(4,4,2) = 0.
% 0.07/0.44 product(4,4,3) = 0.
% 0.07/0.44 product(4,4,4) = 1.
% 0.07/0.44
% 0.07/0.44 % SZS output end FiniteModel
% 0.07/0.44 ------ process 10020 exit (max_models) ------
% 0.07/0.45
% 0.07/0.45 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.07/0.45
% 0.07/0.45 Exiting with 1 model.
% 0.07/0.45
% 0.07/0.45 Process 10020 exit (max_models) Tue Feb 7 17:10:02 2017
% 0.07/0.45 The process finished Tue Feb 7 17:10:02 2017
% 0.07/0.45 Mace4 ended
%------------------------------------------------------------------------------