TSTP Solution File: GRP026-4 by Mace4---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Mace4---1109a
% Problem : GRP026-4 : TPTP v6.4.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -t %d -f %s
% Computer : n122.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 09:54:15 EST 2017
% Result : Satisfiable 0.06s
% Output : FiniteModel 0.06s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.03 % Problem : GRP026-4 : TPTP v6.4.0. Bugfixed v1.2.1.
% 0.01/0.04 % Command : mace4 -t %d -f %s
% 0.03/0.23 % Computer : n122.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 17:07:31 CST 2017
% 0.03/0.24 % CPUTime :
% 0.06/0.46 % SZS status Satisfiable
% 0.06/0.46 ============================== Mace4 =================================
% 0.06/0.46 Mace4 (32) version 2009-11A, November 2009.
% 0.06/0.46 Process 28482 was started by sandbox on n122.star.cs.uiowa.edu,
% 0.06/0.46 Tue Feb 7 17:07:31 2017
% 0.06/0.46 The command was "/export/starexec/sandbox/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_28358_n122.star.cs.uiowa.edu".
% 0.06/0.46 ============================== end of head ===========================
% 0.06/0.46
% 0.06/0.46 ============================== INPUT =================================
% 0.06/0.46
% 0.06/0.46 % Reading from file /tmp/Mace4_input_28358_n122.star.cs.uiowa.edu
% 0.06/0.46
% 0.06/0.46 set(prolog_style_variables).
% 0.06/0.46 set(print_models_tabular).
% 0.06/0.46 % set(print_models_tabular) -> clear(print_models).
% 0.06/0.46
% 0.06/0.46 formulas(sos).
% 0.06/0.46 group_member(identity_for(Xg),Xg) # label(identity_in_group) # label(axiom).
% 0.06/0.46 product(Xg,identity_for(Xg),X,X) # label(left_identity) # label(axiom).
% 0.06/0.46 product(Xg,X,identity_for(Xg),X) # label(right_identity) # label(axiom).
% 0.06/0.46 -group_member(X,Xg) | group_member(inverse(Xg,X),Xg) # label(inverse_in_group) # label(axiom).
% 0.06/0.46 product(Xg,inverse(Xg,X),X,identity_for(Xg)) # label(left_inverse) # label(axiom).
% 0.06/0.46 product(Xg,X,inverse(Xg,X),identity_for(Xg)) # label(right_inverse) # label(axiom).
% 0.06/0.46 -group_member(X,Xg) | -group_member(Y,Xg) | product(Xg,X,Y,multiply(Xg,X,Y)) # label(total_function1_1) # label(axiom).
% 0.06/0.46 -group_member(X,Xg) | -group_member(Y,Xg) | group_member(multiply(Xg,X,Y),Xg) # label(total_function1_2) # label(axiom).
% 0.06/0.46 -product(Xg,X,Y,Z) | -product(Xg,X,Y,W) | W = Z # label(total_function2) # label(axiom).
% 0.06/0.46 -product(Xg,X,Y,Xy) | -product(Xg,Y,Z,Yz) | -product(Xg,Xy,Z,Xyz) | product(Xg,X,Yz,Xyz) # label(associativity1) # label(axiom).
% 0.06/0.46 -product(Xg,X,Y,Xy) | -product(Xg,Y,Z,Yz) | -product(Xg,X,Yz,Xyz) | product(Xg,Xy,Z,Xyz) # label(associativity2) # label(axiom).
% 0.06/0.46 -product(Xg,X,Z,Y) | -product(Xg,X,W,Y) | W = Z # label(left_cancellation) # label(axiom).
% 0.06/0.46 -product(Xg,Z,Y,X) | -product(Xg,W,Y,X) | W = Z # label(right_cancellation) # label(axiom).
% 0.06/0.46 g1 != g2 # label(two_groups) # label(hypothesis).
% 0.06/0.46 group_member(a,g1) # label(a_member_of_group1) # label(hypothesis).
% 0.06/0.46 group_member(b,g1) # label(b_member_of_group1) # label(hypothesis).
% 0.06/0.46 group_member(c,g1) # label(c_member_of_group1) # label(hypothesis).
% 0.06/0.46 a != b # label(a_not_b) # label(hypothesis).
% 0.06/0.46 c != a # label(c_not_a) # label(hypothesis).
% 0.06/0.46 b != c # label(b_not_c) # label(hypothesis).
% 0.06/0.46 group_member(f,g2) # label(f_member_of_group2) # label(hypothesis).
% 0.06/0.46 group_member(g,g2) # label(g_member_of_group2) # label(hypothesis).
% 0.06/0.46 group_member(h,g2) # label(h_member_of_group2) # label(hypothesis).
% 0.06/0.46 f != g # label(f_not_g) # label(hypothesis).
% 0.06/0.46 h != f # label(h_not_f) # label(hypothesis).
% 0.06/0.46 g != h # label(g_not_h) # label(hypothesis).
% 0.06/0.46 -group_member(X,g1) | X = a | X = b | X = c # label(all_of_group1) # label(hypothesis).
% 0.06/0.46 -group_member(X,g2) | X = f | X = g | X = h # label(all_of_group2) # label(hypothesis).
% 0.06/0.46 identity_for(g1) = a # label(a_identity_of_group1) # label(hypothesis).
% 0.06/0.46 identity_for(g2) = f # label(f_identity_of_group2) # label(hypothesis).
% 0.06/0.46 product(g1,a,X,X) # label(a_left_identity) # label(hypothesis).
% 0.06/0.46 product(g1,X,a,X) # label(a_right_identity) # label(hypothesis).
% 0.06/0.46 product(g2,f,X,X) # label(f_left_identity) # label(hypothesis).
% 0.06/0.46 product(g2,X,f,X) # label(f_right_identity) # label(hypothesis).
% 0.06/0.46 isomorphism1(a) = f # label(a_maps1_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism1(b) = g # label(b_maps1_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism1(c) = h # label(c_maps1_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism2(a) = f # label(a_maps2_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism2(b) = h # label(b_maps2_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism2(c) = g # label(c_maps2_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism3(a) = g # label(a_maps3_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism3(b) = f # label(b_maps3_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism3(c) = h # label(c_maps3_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism4(a) = g # label(a_maps4_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism4(b) = h # label(b_maps4_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism4(c) = f # label(c_maps4_to_c) # label(hypothesis).
% 0.06/0.46 isomorphism5(a) = h # label(a_maps5_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism5(b) = g # label(b_maps5_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism5(c) = f # label(c_maps5_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism6(a) = h # label(a_maps6_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism6(b) = f # label(b_maps6_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism6(c) = g # label(c_maps6_to_g) # label(hypothesis).
% 0.06/0.46 group_member(d1,g1) # label(d1_member_of_group1) # label(negated_conjecture).
% 0.06/0.46 group_member(d2,g1) # label(d2_member_of_group1) # label(negated_conjecture).
% 0.06/0.46 group_member(d3,g1) # label(d3_member_of_group1) # label(negated_conjecture).
% 0.06/0.46 product(g1,d1,d2,d3) # label(d1_times_d2_is_d3) # label(negated_conjecture).
% 0.06/0.46 -product(g2,isomorphism1(d1),isomorphism1(d2),isomorphism1(d3)) | -product(g2,isomorphism2(d1),isomorphism2(d2),isomorphism2(d3)) | -product(g2,isomorphism3(d1),isomorphism3(d2),isomorphism3(d3)) | -product(g2,isomorphism4(d1),isomorphism4(d2),isomorphism4(d3)) | -product(g2,isomorphism5(d1),isomorphism5(d2),isomorphism5(d3)) | -product(g2,isomorphism6(d1),isomorphism6(d2),isomorphism6(d3)) # label(prove_one_product_holds_in_group2) # label(negated_conjecture).
% 0.06/0.46 end_of_list.
% 0.06/0.46
% 0.06/0.46 % From the command line: assign(max_seconds, 300).
% 0.06/0.46
% 0.06/0.46 ============================== end of input ==========================
% 0.06/0.46
% 0.06/0.46 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.06/0.46
% 0.06/0.46 % Formulas that are not ordinary clauses:
% 0.06/0.46
% 0.06/0.46 ============================== end of process non-clausal formulas ===
% 0.06/0.46
% 0.06/0.46 ============================== CLAUSES FOR SEARCH ====================
% 0.06/0.46
% 0.06/0.46 formulas(mace4_clauses).
% 0.06/0.46 group_member(identity_for(A),A) # label(identity_in_group) # label(axiom).
% 0.06/0.46 product(A,identity_for(A),B,B) # label(left_identity) # label(axiom).
% 0.06/0.46 product(A,B,identity_for(A),B) # label(right_identity) # label(axiom).
% 0.06/0.46 -group_member(A,B) | group_member(inverse(B,A),B) # label(inverse_in_group) # label(axiom).
% 0.06/0.46 product(A,inverse(A,B),B,identity_for(A)) # label(left_inverse) # label(axiom).
% 0.06/0.46 product(A,B,inverse(A,B),identity_for(A)) # label(right_inverse) # label(axiom).
% 0.06/0.46 -group_member(A,B) | -group_member(C,B) | product(B,A,C,multiply(B,A,C)) # label(total_function1_1) # label(axiom).
% 0.06/0.46 -group_member(A,B) | -group_member(C,B) | group_member(multiply(B,A,C),B) # label(total_function1_2) # label(axiom).
% 0.06/0.46 -product(A,B,C,D) | -product(A,B,C,E) | E = D # label(total_function2) # label(axiom).
% 0.06/0.46 -product(A,B,C,D) | -product(A,C,E,F) | -product(A,D,E,V6) | product(A,B,F,V6) # label(associativity1) # label(axiom).
% 0.06/0.46 -product(A,B,C,D) | -product(A,C,E,F) | -product(A,B,F,V6) | product(A,D,E,V6) # label(associativity2) # label(axiom).
% 0.06/0.46 -product(A,B,C,D) | -product(A,B,E,D) | E = C # label(left_cancellation) # label(axiom).
% 0.06/0.46 -product(A,B,C,D) | -product(A,E,C,D) | E = B # label(right_cancellation) # label(axiom).
% 0.06/0.46 g1 != g2 # label(two_groups) # label(hypothesis).
% 0.06/0.46 group_member(a,g1) # label(a_member_of_group1) # label(hypothesis).
% 0.06/0.46 group_member(b,g1) # label(b_member_of_group1) # label(hypothesis).
% 0.06/0.46 group_member(c,g1) # label(c_member_of_group1) # label(hypothesis).
% 0.06/0.46 a != b # label(a_not_b) # label(hypothesis).
% 0.06/0.46 c != a # label(c_not_a) # label(hypothesis).
% 0.06/0.46 b != c # label(b_not_c) # label(hypothesis).
% 0.06/0.46 group_member(f,g2) # label(f_member_of_group2) # label(hypothesis).
% 0.06/0.46 group_member(g,g2) # label(g_member_of_group2) # label(hypothesis).
% 0.06/0.46 group_member(h,g2) # label(h_member_of_group2) # label(hypothesis).
% 0.06/0.46 f != g # label(f_not_g) # label(hypothesis).
% 0.06/0.46 h != f # label(h_not_f) # label(hypothesis).
% 0.06/0.46 g != h # label(g_not_h) # label(hypothesis).
% 0.06/0.46 -group_member(A,g1) | A = a | A = b | A = c # label(all_of_group1) # label(hypothesis).
% 0.06/0.46 -group_member(A,g2) | A = f | A = g | A = h # label(all_of_group2) # label(hypothesis).
% 0.06/0.46 identity_for(g1) = a # label(a_identity_of_group1) # label(hypothesis).
% 0.06/0.46 identity_for(g2) = f # label(f_identity_of_group2) # label(hypothesis).
% 0.06/0.46 product(g1,a,A,A) # label(a_left_identity) # label(hypothesis).
% 0.06/0.46 product(g1,A,a,A) # label(a_right_identity) # label(hypothesis).
% 0.06/0.46 product(g2,f,A,A) # label(f_left_identity) # label(hypothesis).
% 0.06/0.46 product(g2,A,f,A) # label(f_right_identity) # label(hypothesis).
% 0.06/0.46 isomorphism1(a) = f # label(a_maps1_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism1(b) = g # label(b_maps1_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism1(c) = h # label(c_maps1_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism2(a) = f # label(a_maps2_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism2(b) = h # label(b_maps2_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism2(c) = g # label(c_maps2_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism3(a) = g # label(a_maps3_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism3(b) = f # label(b_maps3_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism3(c) = h # label(c_maps3_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism4(a) = g # label(a_maps4_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism4(b) = h # label(b_maps4_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism4(c) = f # label(c_maps4_to_c) # label(hypothesis).
% 0.06/0.46 isomorphism5(a) = h # label(a_maps5_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism5(b) = g # label(b_maps5_to_g) # label(hypothesis).
% 0.06/0.46 isomorphism5(c) = f # label(c_maps5_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism6(a) = h # label(a_maps6_to_h) # label(hypothesis).
% 0.06/0.46 isomorphism6(b) = f # label(b_maps6_to_f) # label(hypothesis).
% 0.06/0.46 isomorphism6(c) = g # label(c_maps6_to_g) # label(hypothesis).
% 0.06/0.46 group_member(d1,g1) # label(d1_member_of_group1) # label(negated_conjecture).
% 0.06/0.46 group_member(d2,g1) # label(d2_member_of_group1) # label(negated_conjecture).
% 0.06/0.46 group_member(d3,g1) # label(d3_member_of_group1) # label(negated_conjecture).
% 0.06/0.46 product(g1,d1,d2,d3) # label(d1_times_d2_is_d3) # label(negated_conjecture).
% 0.06/0.46 -product(g2,isomorphism1(d1),isomorphism1(d2),isomorphism1(d3)) | -product(g2,isomorphism2(d1),isomorphism2(d2),isomorphism2(d3)) | -product(g2,isomorphism3(d1),isomorphism3(d2),isomorphism3(d3)) | -product(g2,isomorphism4(d1),isomorphism4(d2),isomorphism4(d3)) | -product(g2,isomorphism5(d1),isomorphism5(d2),isomorphism5(d3)) | -product(g2,isomorphism6(d1),isomorphism6(d2),isomorphism6(d3)) # label(prove_one_product_holds_in_group2) # label(negated_conjecture).
% 0.06/0.46 end_of_list.
% 0.06/0.46
% 0.06/0.46 ============================== end of clauses for search =============
% 0.06/0.46 % SZS output start FiniteModel
% 0.06/0.46
% 0.06/0.46 % There are no natural numbers in the input.
% 0.06/0.46
% 0.06/0.46 a : 0
% 0.06/0.46
% 0.06/0.46 b : 1
% 0.06/0.46
% 0.06/0.46 c : 2
% 0.06/0.46
% 0.06/0.46 d1 : 0
% 0.06/0.46
% 0.06/0.46 d2 : 0
% 0.06/0.46
% 0.06/0.46 d3 : 0
% 0.06/0.46
% 0.06/0.46 f : 0
% 0.06/0.46
% 0.06/0.46 g : 1
% 0.06/0.46
% 0.06/0.46 g1 : 0
% 0.06/0.46
% 0.06/0.46 g2 : 1
% 0.06/0.46
% 0.06/0.46 h : 2
% 0.06/0.46
% 0.06/0.46 identity_for :
% 0.06/0.46 0 1 2
% 0.06/0.46 ---------
% 0.06/0.46 0 0 0
% 0.06/0.46
% 0.06/0.46 isomorphism1 :
% 0.06/0.46 0 1 2
% 0.06/0.46 ---------
% 0.06/0.46 0 1 2
% 0.06/0.46
% 0.06/0.46 isomorphism2 :
% 0.06/0.46 0 1 2
% 0.06/0.46 ---------
% 0.06/0.46 0 2 1
% 0.06/0.46
% 0.06/0.46 isomorphism3 :
% 0.06/0.46 0 1 2
% 0.06/0.46 ---------
% 0.06/0.46 1 0 2
% 0.06/0.46
% 0.06/0.46 isomorphism4 :
% 0.06/0.46 0 1 2
% 0.06/0.46 ---------
% 0.06/0.46 1 2 0
% 0.06/0.46
% 0.06/0.46 isomorphism5 :
% 0.06/0.46 0 1 2
% 0.06/0.46 ---------
% 0.06/0.46 2 1 0
% 0.06/0.46
% 0.06/0.46 isomorphism6 :
% 0.06/0.46 0 1 2
% 0.06/0.46 ---------
% 0.06/0.46 2 0 1
% 0.06/0.46
% 0.06/0.46 inverse :
% 0.06/0.46 | 0 1 2
% 0.06/0.46 --+------
% 0.06/0.46 0 | 0 2 1
% 0.06/0.46 1 | 0 2 1
% 0.06/0.46 2 | 0 1 2
% 0.06/0.46 multiply(0,0,0) = 0.
% 0.06/0.46 multiply(0,0,1) = 1.
% 0.06/0.46 multiply(0,0,2) = 2.
% 0.06/0.46 multiply(0,1,0) = 1.
% 0.06/0.46 multiply(0,1,1) = 2.
% 0.06/0.46 multiply(0,1,2) = 0.
% 0.06/0.46 multiply(0,2,0) = 2.
% 0.06/0.46 multiply(0,2,1) = 0.
% 0.06/0.46 multiply(0,2,2) = 1.
% 0.06/0.46 multiply(1,0,0) = 0.
% 0.06/0.46 multiply(1,0,1) = 1.
% 0.06/0.46 multiply(1,0,2) = 2.
% 0.06/0.46 multiply(1,1,0) = 1.
% 0.06/0.46 multiply(1,1,1) = 2.
% 0.06/0.46 multiply(1,1,2) = 0.
% 0.06/0.46 multiply(1,2,0) = 2.
% 0.06/0.46 multiply(1,2,1) = 0.
% 0.06/0.46 multiply(1,2,2) = 1.
% 0.06/0.46 multiply(2,0,0) = 0.
% 0.06/0.46 multiply(2,0,1) = 0.
% 0.06/0.46 multiply(2,0,2) = 0.
% 0.06/0.46 multiply(2,1,0) = 0.
% 0.06/0.46 multiply(2,1,1) = 0.
% 0.06/0.46 multiply(2,1,2) = 0.
% 0.06/0.46 multiply(2,2,0) = 0.
% 0.06/0.46 multiply(2,2,1) = 0.
% 0.06/0.46 multiply(2,2,2) = 0.
% 0.06/0.46
% 0.06/0.46 group_member :
% 0.06/0.46 | 0 1 2
% 0.06/0.46 --+------
% 0.06/0.46 0 | 1 1 1
% 0.06/0.46 1 | 1 1 0
% 0.06/0.46 2 | 1 1 0
% 0.06/0.46 product(0,0,0,0) = 1.
% 0.06/0.46 product(0,0,0,1) = 0.
% 0.06/0.46 product(0,0,0,2) = 0.
% 0.06/0.46 product(0,0,1,0) = 0.
% 0.06/0.46 product(0,0,1,1) = 1.
% 0.06/0.46 product(0,0,1,2) = 0.
% 0.06/0.46 product(0,0,2,0) = 0.
% 0.06/0.46 product(0,0,2,1) = 0.
% 0.06/0.46 product(0,0,2,2) = 1.
% 0.06/0.46 product(0,1,0,0) = 0.
% 0.06/0.46 product(0,1,0,1) = 1.
% 0.06/0.46 product(0,1,0,2) = 0.
% 0.06/0.46 product(0,1,1,0) = 0.
% 0.06/0.46 product(0,1,1,1) = 0.
% 0.06/0.46 product(0,1,1,2) = 1.
% 0.06/0.46 product(0,1,2,0) = 1.
% 0.06/0.46 product(0,1,2,1) = 0.
% 0.06/0.46 product(0,1,2,2) = 0.
% 0.06/0.46 product(0,2,0,0) = 0.
% 0.06/0.46 product(0,2,0,1) = 0.
% 0.06/0.46 product(0,2,0,2) = 1.
% 0.06/0.46 product(0,2,1,0) = 1.
% 0.06/0.46 product(0,2,1,1) = 0.
% 0.06/0.46 product(0,2,1,2) = 0.
% 0.06/0.46 product(0,2,2,0) = 0.
% 0.06/0.46 product(0,2,2,1) = 1.
% 0.06/0.46 product(0,2,2,2) = 0.
% 0.06/0.46 product(1,0,0,0) = 1.
% 0.06/0.46 product(1,0,0,1) = 0.
% 0.06/0.46 product(1,0,0,2) = 0.
% 0.06/0.46 product(1,0,1,0) = 0.
% 0.06/0.46 product(1,0,1,1) = 1.
% 0.06/0.46 product(1,0,1,2) = 0.
% 0.06/0.46 product(1,0,2,0) = 0.
% 0.06/0.46 product(1,0,2,1) = 0.
% 0.06/0.46 product(1,0,2,2) = 1.
% 0.06/0.46 product(1,1,0,0) = 0.
% 0.06/0.46 product(1,1,0,1) = 1.
% 0.06/0.46 product(1,1,0,2) = 0.
% 0.06/0.46 product(1,1,1,0) = 0.
% 0.06/0.46 product(1,1,1,1) = 0.
% 0.06/0.46 product(1,1,1,2) = 1.
% 0.06/0.46 product(1,1,2,0) = 1.
% 0.06/0.46 product(1,1,2,1) = 0.
% 0.06/0.46 product(1,1,2,2) = 0.
% 0.06/0.46 product(1,2,0,0) = 0.
% 0.06/0.46 product(1,2,0,1) = 0.
% 0.06/0.46 product(1,2,0,2) = 1.
% 0.06/0.46 product(1,2,1,0) = 1.
% 0.06/0.46 product(1,2,1,1) = 0.
% 0.06/0.46 product(1,2,1,2) = 0.
% 0.06/0.46 product(1,2,2,0) = 0.
% 0.06/0.46 product(1,2,2,1) = 1.
% 0.06/0.46 product(1,2,2,2) = 0.
% 0.06/0.46 product(2,0,0,0) = 1.
% 0.06/0.46 product(2,0,0,1) = 0.
% 0.06/0.46 product(2,0,0,2) = 0.
% 0.06/0.46 product(2,0,1,0) = 0.
% 0.06/0.46 product(2,0,1,1) = 1.
% 0.06/0.46 product(2,0,1,2) = 0.
% 0.06/0.46 product(2,0,2,0) = 0.
% 0.06/0.46 product(2,0,2,1) = 0.
% 0.06/0.46 product(2,0,2,2) = 1.
% 0.06/0.46 product(2,1,0,0) = 0.
% 0.06/0.46 product(2,1,0,1) = 1.
% 0.06/0.46 product(2,1,0,2) = 0.
% 0.06/0.46 product(2,1,1,0) = 1.
% 0.06/0.46 product(2,1,1,1) = 0.
% 0.06/0.46 product(2,1,1,2) = 0.
% 0.06/0.46 product(2,1,2,0) = 0.
% 0.06/0.46 product(2,1,2,1) = 0.
% 0.06/0.46 product(2,1,2,2) = 0.
% 0.06/0.46 product(2,2,0,0) = 0.
% 0.06/0.46 product(2,2,0,1) = 0.
% 0.06/0.46 product(2,2,0,2) = 1.
% 0.06/0.46 product(2,2,1,0) = 0.
% 0.06/0.46 product(2,2,1,1) = 0.
% 0.06/0.46 product(2,2,1,2) = 0.
% 0.06/0.46 product(2,2,2,0) = 1.
% 0.06/0.46 product(2,2,2,1) = 0.
% 0.06/0.46 product(2,2,2,2) = 0.
% 0.06/0.46
% 0.06/0.46 % SZS output end FiniteModel
% 0.06/0.46 ------ process 28482 exit (max_models) ------
% 0.06/0.46
% 0.06/0.46 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.06/0.46
% 0.06/0.46 Exiting with 1 model.
% 0.06/0.46
% 0.06/0.46 Process 28482 exit (max_models) Tue Feb 7 17:07:31 2017
% 0.06/0.46 The process finished Tue Feb 7 17:07:31 2017
% 0.06/0.46 Mace4 ended
%------------------------------------------------------------------------------