TSTP Solution File: GRP025-2 by Mace4---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Mace4---1109a
% Problem : GRP025-2 : TPTP v6.4.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -t %d -f %s
% Computer : n008.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 09:54:14 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 : GRP025-2 : TPTP v6.4.0. Bugfixed v1.2.1.
% 0.00/0.04 % Command : mace4 -t %d -f %s
% 0.02/0.23 % Computer : n008.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.75MB
% 0.02/0.23 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Tue Feb 7 17:07:48 CST 2017
% 0.02/0.23 % CPUTime :
% 0.07/0.54 % SZS status Satisfiable
% 0.07/0.55 ============================== Mace4 =================================
% 0.07/0.55 Mace4 (32) version 2009-11A, November 2009.
% 0.07/0.55 Process 13450 was started by sandbox on n008.star.cs.uiowa.edu,
% 0.07/0.55 Tue Feb 7 17:07:48 2017
% 0.07/0.55 The command was "/export/starexec/sandbox/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_13367_n008.star.cs.uiowa.edu".
% 0.07/0.55 ============================== end of head ===========================
% 0.07/0.55
% 0.07/0.55 ============================== INPUT =================================
% 0.07/0.55
% 0.07/0.55 % Reading from file /tmp/Mace4_input_13367_n008.star.cs.uiowa.edu
% 0.07/0.55
% 0.07/0.55 set(prolog_style_variables).
% 0.07/0.55 set(print_models_tabular).
% 0.07/0.55 % set(print_models_tabular) -> clear(print_models).
% 0.07/0.55
% 0.07/0.55 formulas(sos).
% 0.07/0.55 group_member(identity_for(Xg),Xg) # label(identity_in_group) # label(axiom).
% 0.07/0.55 product(Xg,identity_for(Xg),X,X) # label(left_identity) # label(axiom).
% 0.07/0.55 product(Xg,X,identity_for(Xg),X) # label(right_identity) # label(axiom).
% 0.07/0.55 -group_member(X,Xg) | group_member(inverse(Xg,X),Xg) # label(inverse_in_group) # label(axiom).
% 0.07/0.55 product(Xg,inverse(Xg,X),X,identity_for(Xg)) # label(left_inverse) # label(axiom).
% 0.07/0.55 product(Xg,X,inverse(Xg,X),identity_for(Xg)) # label(right_inverse) # label(axiom).
% 0.07/0.55 -group_member(X,Xg) | -group_member(Y,Xg) | product(Xg,X,Y,multiply(Xg,X,Y)) # label(total_function1_1) # label(axiom).
% 0.07/0.55 -group_member(X,Xg) | -group_member(Y,Xg) | group_member(multiply(Xg,X,Y),Xg) # label(total_function1_2) # label(axiom).
% 0.07/0.55 -product(Xg,X,Y,Z) | -product(Xg,X,Y,W) | W = Z # label(total_function2) # label(axiom).
% 0.07/0.55 -product(Xg,X,Y,Xy) | -product(Xg,Y,Z,Yz) | -product(Xg,Xy,Z,Xyz) | product(Xg,X,Yz,Xyz) # label(associativity1) # label(axiom).
% 0.07/0.55 -product(Xg,X,Y,Xy) | -product(Xg,Y,Z,Yz) | -product(Xg,X,Yz,Xyz) | product(Xg,Xy,Z,Xyz) # label(associativity2) # label(axiom).
% 0.07/0.55 g1 != g2 # label(two_groups) # label(hypothesis).
% 0.07/0.55 group_member(a,g1) # label(a_member_of_group1) # label(hypothesis).
% 0.07/0.55 group_member(b,g1) # label(b_member_of_group1) # label(hypothesis).
% 0.07/0.55 a != b # label(a_not_b) # label(hypothesis).
% 0.07/0.55 group_member(c,g2) # label(c_member_of_group2) # label(hypothesis).
% 0.07/0.55 group_member(d,g2) # label(d_member_of_group2) # label(hypothesis).
% 0.07/0.55 c != d # label(c_not_d) # label(hypothesis).
% 0.07/0.55 a != c # label(a_not_c) # label(hypothesis).
% 0.07/0.55 a != d # label(a_not_d) # label(hypothesis).
% 0.07/0.55 b != c # label(b_not_c) # label(hypothesis).
% 0.07/0.55 b != d # label(b_not_d) # label(hypothesis).
% 0.07/0.55 -group_member(X,g1) | X = a | X = b # label(a_and_b_only_members_of_group1) # label(hypothesis).
% 0.07/0.55 -group_member(X,g2) | X = c | X = d # label(c_and_d_only_members_of_group2) # label(hypothesis).
% 0.07/0.55 identity_for(g1) = a # label(a_identity_of_group1) # label(hypothesis).
% 0.07/0.55 identity_for(g2) = c # label(c_identity_of_group2) # label(hypothesis).
% 0.07/0.55 product(g1,a,X,X) # label(a_left_identity) # label(hypothesis).
% 0.07/0.55 product(g1,X,a,X) # label(a_right_identity) # label(hypothesis).
% 0.07/0.55 product(g2,c,X,X) # label(c_left_identity) # label(hypothesis).
% 0.07/0.55 product(g2,X,c,X) # label(c_right_identity) # label(hypothesis).
% 0.07/0.55 isomorphism1(a) = c # label(a_maps1_to_c) # label(hypothesis).
% 0.07/0.55 isomorphism1(b) = d # label(b_maps1_to_d) # label(hypothesis).
% 0.07/0.55 isomorphism2(a) = d # label(a_maps2_to_d) # label(hypothesis).
% 0.07/0.55 isomorphism2(b) = c # label(b_maps2_to_c) # label(hypothesis).
% 0.07/0.55 group_member(d1,g1) # label(d1_member_of_group1) # label(negated_conjecture).
% 0.07/0.55 group_member(d2,g1) # label(d2_member_of_group1) # label(negated_conjecture).
% 0.07/0.55 group_member(d3,g1) # label(d3_member_of_group1) # label(negated_conjecture).
% 0.07/0.55 product(g1,d1,d2,d3) # label(d1_times_d2_is_d3) # label(negated_conjecture).
% 0.07/0.55 -product(g2,isomorphism1(d1),isomorphism1(d2),isomorphism1(d3)) | -product(g2,isomorphism2(d1),isomorphism2(d2),isomorphism2(d3)) # label(prove_one_product_holds_in_group2) # label(negated_conjecture).
% 0.07/0.55 end_of_list.
% 0.07/0.55
% 0.07/0.55 % From the command line: assign(max_seconds, 300).
% 0.07/0.55
% 0.07/0.55 ============================== end of input ==========================
% 0.07/0.55
% 0.07/0.55 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.07/0.55
% 0.07/0.55 % Formulas that are not ordinary clauses:
% 0.07/0.55
% 0.07/0.55 ============================== end of process non-clausal formulas ===
% 0.07/0.55
% 0.07/0.55 ============================== CLAUSES FOR SEARCH ====================
% 0.07/0.55
% 0.07/0.55 formulas(mace4_clauses).
% 0.07/0.55 group_member(identity_for(A),A) # label(identity_in_group) # label(axiom).
% 0.07/0.55 product(A,identity_for(A),B,B) # label(left_identity) # label(axiom).
% 0.07/0.55 product(A,B,identity_for(A),B) # label(right_identity) # label(axiom).
% 0.07/0.55 -group_member(A,B) | group_member(inverse(B,A),B) # label(inverse_in_group) # label(axiom).
% 0.07/0.55 product(A,inverse(A,B),B,identity_for(A)) # label(left_inverse) # label(axiom).
% 0.07/0.55 product(A,B,inverse(A,B),identity_for(A)) # label(right_inverse) # label(axiom).
% 0.07/0.55 -group_member(A,B) | -group_member(C,B) | product(B,A,C,multiply(B,A,C)) # label(total_function1_1) # label(axiom).
% 0.07/0.55 -group_member(A,B) | -group_member(C,B) | group_member(multiply(B,A,C),B) # label(total_function1_2) # label(axiom).
% 0.07/0.55 -product(A,B,C,D) | -product(A,B,C,E) | E = D # label(total_function2) # label(axiom).
% 0.07/0.55 -product(A,B,C,D) | -product(A,C,E,F) | -product(A,D,E,V6) | product(A,B,F,V6) # label(associativity1) # label(axiom).
% 0.07/0.55 -product(A,B,C,D) | -product(A,C,E,F) | -product(A,B,F,V6) | product(A,D,E,V6) # label(associativity2) # label(axiom).
% 0.07/0.55 g1 != g2 # label(two_groups) # label(hypothesis).
% 0.07/0.55 group_member(a,g1) # label(a_member_of_group1) # label(hypothesis).
% 0.07/0.55 group_member(b,g1) # label(b_member_of_group1) # label(hypothesis).
% 0.07/0.55 a != b # label(a_not_b) # label(hypothesis).
% 0.07/0.55 group_member(c,g2) # label(c_member_of_group2) # label(hypothesis).
% 0.07/0.55 group_member(d,g2) # label(d_member_of_group2) # label(hypothesis).
% 0.07/0.55 c != d # label(c_not_d) # label(hypothesis).
% 0.07/0.55 a != c # label(a_not_c) # label(hypothesis).
% 0.07/0.55 a != d # label(a_not_d) # label(hypothesis).
% 0.07/0.55 b != c # label(b_not_c) # label(hypothesis).
% 0.07/0.55 b != d # label(b_not_d) # label(hypothesis).
% 0.07/0.55 -group_member(A,g1) | A = a | A = b # label(a_and_b_only_members_of_group1) # label(hypothesis).
% 0.07/0.55 -group_member(A,g2) | A = c | A = d # label(c_and_d_only_members_of_group2) # label(hypothesis).
% 0.07/0.55 identity_for(g1) = a # label(a_identity_of_group1) # label(hypothesis).
% 0.07/0.55 identity_for(g2) = c # label(c_identity_of_group2) # label(hypothesis).
% 0.07/0.55 product(g1,a,A,A) # label(a_left_identity) # label(hypothesis).
% 0.07/0.55 product(g1,A,a,A) # label(a_right_identity) # label(hypothesis).
% 0.07/0.55 product(g2,c,A,A) # label(c_left_identity) # label(hypothesis).
% 0.07/0.55 product(g2,A,c,A) # label(c_right_identity) # label(hypothesis).
% 0.07/0.55 isomorphism1(a) = c # label(a_maps1_to_c) # label(hypothesis).
% 0.07/0.55 isomorphism1(b) = d # label(b_maps1_to_d) # label(hypothesis).
% 0.07/0.55 isomorphism2(a) = d # label(a_maps2_to_d) # label(hypothesis).
% 0.07/0.55 isomorphism2(b) = c # label(b_maps2_to_c) # label(hypothesis).
% 0.07/0.55 group_member(d1,g1) # label(d1_member_of_group1) # label(negated_conjecture).
% 0.07/0.55 group_member(d2,g1) # label(d2_member_of_group1) # label(negated_conjecture).
% 0.07/0.55 group_member(d3,g1) # label(d3_member_of_group1) # label(negated_conjecture).
% 0.07/0.55 product(g1,d1,d2,d3) # label(d1_times_d2_is_d3) # label(negated_conjecture).
% 0.07/0.55 -product(g2,isomorphism1(d1),isomorphism1(d2),isomorphism1(d3)) | -product(g2,isomorphism2(d1),isomorphism2(d2),isomorphism2(d3)) # label(prove_one_product_holds_in_group2) # label(negated_conjecture).
% 0.07/0.55 end_of_list.
% 0.07/0.55
% 0.07/0.55 ============================== end of clauses for search =============
% 0.07/0.55 % SZS output start FiniteModel
% 0.07/0.55
% 0.07/0.55 % There are no natural numbers in the input.
% 0.07/0.55
% 0.07/0.55 a : 0
% 0.07/0.55
% 0.07/0.55 b : 1
% 0.07/0.55
% 0.07/0.55 c : 2
% 0.07/0.55
% 0.07/0.55 d : 3
% 0.07/0.55
% 0.07/0.55 d1 : 0
% 0.07/0.55
% 0.07/0.55 d2 : 0
% 0.07/0.55
% 0.07/0.55 d3 : 0
% 0.07/0.55
% 0.07/0.55 g1 : 0
% 0.07/0.55
% 0.07/0.55 g2 : 1
% 0.07/0.55
% 0.07/0.55 identity_for :
% 0.07/0.55 0 1 2 3
% 0.07/0.55 -----------
% 0.07/0.55 0 2 0 0
% 0.07/0.55
% 0.07/0.55 isomorphism1 :
% 0.07/0.55 0 1 2 3
% 0.07/0.55 -----------
% 0.07/0.55 2 3 0 0
% 0.07/0.55
% 0.07/0.55 isomorphism2 :
% 0.07/0.55 0 1 2 3
% 0.07/0.55 -----------
% 0.07/0.55 3 2 0 0
% 0.07/0.55
% 0.07/0.55 inverse :
% 0.07/0.55 | 0 1 2 3
% 0.07/0.55 --+--------
% 0.07/0.55 0 | 0 1 2 3
% 0.07/0.55 1 | 0 1 2 3
% 0.07/0.55 2 | 0 1 2 3
% 0.07/0.55 3 | 0 1 2 3
% 0.07/0.55 multiply(0,0,0) = 0.
% 0.07/0.55 multiply(0,0,1) = 1.
% 0.07/0.55 multiply(0,0,2) = 0.
% 0.07/0.55 multiply(0,0,3) = 0.
% 0.07/0.55 multiply(0,1,0) = 1.
% 0.07/0.55 multiply(0,1,1) = 0.
% 0.07/0.55 multiply(0,1,2) = 0.
% 0.07/0.55 multiply(0,1,3) = 0.
% 0.07/0.55 multiply(0,2,0) = 0.
% 0.07/0.55 multiply(0,2,1) = 0.
% 0.07/0.55 multiply(0,2,2) = 0.
% 0.07/0.55 multiply(0,2,3) = 0.
% 0.07/0.55 multiply(0,3,0) = 0.
% 0.07/0.55 multiply(0,3,1) = 0.
% 0.07/0.55 multiply(0,3,2) = 0.
% 0.07/0.55 multiply(0,3,3) = 0.
% 0.07/0.55 multiply(1,0,0) = 0.
% 0.07/0.55 multiply(1,0,1) = 0.
% 0.07/0.55 multiply(1,0,2) = 0.
% 0.07/0.55 multiply(1,0,3) = 0.
% 0.07/0.55 multiply(1,1,0) = 0.
% 0.07/0.55 multiply(1,1,1) = 0.
% 0.07/0.55 multiply(1,1,2) = 0.
% 0.07/0.55 multiply(1,1,3) = 0.
% 0.07/0.55 multiply(1,2,0) = 0.
% 0.07/0.55 multiply(1,2,1) = 0.
% 0.07/0.55 multiply(1,2,2) = 2.
% 0.07/0.55 multiply(1,2,3) = 3.
% 0.07/0.55 multiply(1,3,0) = 0.
% 0.07/0.55 multiply(1,3,1) = 0.
% 0.07/0.55 multiply(1,3,2) = 3.
% 0.07/0.55 multiply(1,3,3) = 2.
% 0.07/0.55 multiply(2,0,0) = 0.
% 0.07/0.55 multiply(2,0,1) = 0.
% 0.07/0.55 multiply(2,0,2) = 0.
% 0.07/0.55 multiply(2,0,3) = 0.
% 0.07/0.55 multiply(2,1,0) = 0.
% 0.07/0.55 multiply(2,1,1) = 0.
% 0.07/0.55 multiply(2,1,2) = 0.
% 0.07/0.55 multiply(2,1,3) = 0.
% 0.07/0.55 multiply(2,2,0) = 0.
% 0.07/0.55 multiply(2,2,1) = 0.
% 0.07/0.55 multiply(2,2,2) = 0.
% 0.07/0.55 multiply(2,2,3) = 0.
% 0.07/0.55 multiply(2,3,0) = 0.
% 0.07/0.55 multiply(2,3,1) = 0.
% 0.07/0.55 multiply(2,3,2) = 0.
% 0.07/0.55 multiply(2,3,3) = 0.
% 0.07/0.55 multiply(3,0,0) = 0.
% 0.07/0.55 multiply(3,0,1) = 0.
% 0.07/0.55 multiply(3,0,2) = 0.
% 0.07/0.55 multiply(3,0,3) = 0.
% 0.07/0.55 multiply(3,1,0) = 0.
% 0.07/0.55 multiply(3,1,1) = 0.
% 0.07/0.55 multiply(3,1,2) = 0.
% 0.07/0.55 multiply(3,1,3) = 0.
% 0.07/0.55 multiply(3,2,0) = 0.
% 0.07/0.55 multiply(3,2,1) = 0.
% 0.07/0.55 multiply(3,2,2) = 0.
% 0.07/0.55 multiply(3,2,3) = 0.
% 0.07/0.55 multiply(3,3,0) = 0.
% 0.07/0.55 multiply(3,3,1) = 0.
% 0.07/0.55 multiply(3,3,2) = 0.
% 0.07/0.55 multiply(3,3,3) = 0.
% 0.07/0.55
% 0.07/0.55 group_member :
% 0.07/0.55 | 0 1 2 3
% 0.07/0.55 --+--------
% 0.07/0.55 0 | 1 0 1 1
% 0.07/0.55 1 | 1 0 0 0
% 0.07/0.55 2 | 0 1 0 0
% 0.07/0.55 3 | 0 1 0 0
% 0.07/0.55 product(0,0,0,0) = 1.
% 0.07/0.55 product(0,0,0,1) = 0.
% 0.07/0.55 product(0,0,0,2) = 0.
% 0.07/0.55 product(0,0,0,3) = 0.
% 0.07/0.55 product(0,0,1,0) = 0.
% 0.07/0.55 product(0,0,1,1) = 1.
% 0.07/0.55 product(0,0,1,2) = 0.
% 0.07/0.55 product(0,0,1,3) = 0.
% 0.07/0.55 product(0,0,2,0) = 0.
% 0.07/0.55 product(0,0,2,1) = 0.
% 0.07/0.55 product(0,0,2,2) = 1.
% 0.07/0.55 product(0,0,2,3) = 0.
% 0.07/0.55 product(0,0,3,0) = 0.
% 0.07/0.55 product(0,0,3,1) = 0.
% 0.07/0.55 product(0,0,3,2) = 0.
% 0.07/0.55 product(0,0,3,3) = 1.
% 0.07/0.55 product(0,1,0,0) = 0.
% 0.07/0.55 product(0,1,0,1) = 1.
% 0.07/0.55 product(0,1,0,2) = 0.
% 0.07/0.55 product(0,1,0,3) = 0.
% 0.07/0.55 product(0,1,1,0) = 1.
% 0.07/0.55 product(0,1,1,1) = 0.
% 0.07/0.55 product(0,1,1,2) = 0.
% 0.07/0.55 product(0,1,1,3) = 0.
% 0.07/0.55 product(0,1,2,0) = 0.
% 0.07/0.55 product(0,1,2,1) = 0.
% 0.07/0.55 product(0,1,2,2) = 0.
% 0.07/0.55 product(0,1,2,3) = 0.
% 0.07/0.55 product(0,1,3,0) = 0.
% 0.07/0.55 product(0,1,3,1) = 0.
% 0.07/0.55 product(0,1,3,2) = 0.
% 0.07/0.55 product(0,1,3,3) = 0.
% 0.07/0.55 product(0,2,0,0) = 0.
% 0.07/0.55 product(0,2,0,1) = 0.
% 0.07/0.55 product(0,2,0,2) = 1.
% 0.07/0.55 product(0,2,0,3) = 0.
% 0.07/0.55 product(0,2,1,0) = 0.
% 0.07/0.55 product(0,2,1,1) = 0.
% 0.07/0.55 product(0,2,1,2) = 0.
% 0.07/0.55 product(0,2,1,3) = 0.
% 0.07/0.55 product(0,2,2,0) = 1.
% 0.07/0.55 product(0,2,2,1) = 0.
% 0.07/0.55 product(0,2,2,2) = 0.
% 0.07/0.55 product(0,2,2,3) = 0.
% 0.07/0.55 product(0,2,3,0) = 0.
% 0.07/0.55 product(0,2,3,1) = 0.
% 0.07/0.55 product(0,2,3,2) = 0.
% 0.07/0.55 product(0,2,3,3) = 0.
% 0.07/0.55 product(0,3,0,0) = 0.
% 0.07/0.55 product(0,3,0,1) = 0.
% 0.07/0.55 product(0,3,0,2) = 0.
% 0.07/0.55 product(0,3,0,3) = 1.
% 0.07/0.55 product(0,3,1,0) = 0.
% 0.07/0.55 product(0,3,1,1) = 0.
% 0.07/0.55 product(0,3,1,2) = 0.
% 0.07/0.55 product(0,3,1,3) = 0.
% 0.07/0.55 product(0,3,2,0) = 0.
% 0.07/0.55 product(0,3,2,1) = 0.
% 0.07/0.55 product(0,3,2,2) = 0.
% 0.07/0.55 product(0,3,2,3) = 0.
% 0.07/0.55 product(0,3,3,0) = 1.
% 0.07/0.55 product(0,3,3,1) = 0.
% 0.07/0.55 product(0,3,3,2) = 0.
% 0.07/0.55 product(0,3,3,3) = 0.
% 0.07/0.55 product(1,0,0,0) = 0.
% 0.07/0.55 product(1,0,0,1) = 0.
% 0.07/0.55 product(1,0,0,2) = 1.
% 0.07/0.55 product(1,0,0,3) = 0.
% 0.07/0.55 product(1,0,1,0) = 0.
% 0.07/0.55 product(1,0,1,1) = 0.
% 0.07/0.55 product(1,0,1,2) = 0.
% 0.07/0.55 product(1,0,1,3) = 0.
% 0.07/0.55 product(1,0,2,0) = 1.
% 0.07/0.55 product(1,0,2,1) = 0.
% 0.07/0.55 product(1,0,2,2) = 0.
% 0.07/0.55 product(1,0,2,3) = 0.
% 0.07/0.55 product(1,0,3,0) = 0.
% 0.07/0.55 product(1,0,3,1) = 0.
% 0.07/0.55 product(1,0,3,2) = 0.
% 0.07/0.55 product(1,0,3,3) = 0.
% 0.07/0.55 product(1,1,0,0) = 0.
% 0.07/0.55 product(1,1,0,1) = 0.
% 0.07/0.55 product(1,1,0,2) = 0.
% 0.07/0.55 product(1,1,0,3) = 0.
% 0.07/0.55 product(1,1,1,0) = 0.
% 0.07/0.55 product(1,1,1,1) = 0.
% 0.07/0.55 product(1,1,1,2) = 1.
% 0.07/0.55 product(1,1,1,3) = 0.
% 0.07/0.55 product(1,1,2,0) = 0.
% 0.07/0.55 product(1,1,2,1) = 1.
% 0.07/0.55 product(1,1,2,2) = 0.
% 0.07/0.55 product(1,1,2,3) = 0.
% 0.07/0.55 product(1,1,3,0) = 0.
% 0.07/0.55 product(1,1,3,1) = 0.
% 0.07/0.55 product(1,1,3,2) = 0.
% 0.07/0.55 product(1,1,3,3) = 0.
% 0.07/0.55 product(1,2,0,0) = 1.
% 0.07/0.55 product(1,2,0,1) = 0.
% 0.07/0.55 product(1,2,0,2) = 0.
% 0.07/0.55 product(1,2,0,3) = 0.
% 0.07/0.55 product(1,2,1,0) = 0.
% 0.07/0.55 product(1,2,1,1) = 1.
% 0.07/0.55 product(1,2,1,2) = 0.
% 0.07/0.55 product(1,2,1,3) = 0.
% 0.07/0.55 product(1,2,2,0) = 0.
% 0.07/0.55 product(1,2,2,1) = 0.
% 0.07/0.55 product(1,2,2,2) = 1.
% 0.07/0.55 product(1,2,2,3) = 0.
% 0.07/0.55 product(1,2,3,0) = 0.
% 0.07/0.55 product(1,2,3,1) = 0.
% 0.07/0.55 product(1,2,3,2) = 0.
% 0.07/0.55 product(1,2,3,3) = 1.
% 0.07/0.55 product(1,3,0,0) = 0.
% 0.07/0.55 product(1,3,0,1) = 0.
% 0.07/0.55 product(1,3,0,2) = 0.
% 0.07/0.55 product(1,3,0,3) = 0.
% 0.07/0.55 product(1,3,1,0) = 0.
% 0.07/0.55 product(1,3,1,1) = 0.
% 0.07/0.55 product(1,3,1,2) = 0.
% 0.07/0.55 product(1,3,1,3) = 0.
% 0.07/0.55 product(1,3,2,0) = 0.
% 0.07/0.55 product(1,3,2,1) = 0.
% 0.07/0.55 product(1,3,2,2) = 0.
% 0.07/0.55 product(1,3,2,3) = 1.
% 0.07/0.55 product(1,3,3,0) = 0.
% 0.07/0.55 product(1,3,3,1) = 0.
% 0.07/0.55 product(1,3,3,2) = 1.
% 0.07/0.55 product(1,3,3,3) = 0.
% 0.07/0.55 product(2,0,0,0) = 1.
% 0.07/0.55 product(2,0,0,1) = 0.
% 0.07/0.55 product(2,0,0,2) = 0.
% 0.07/0.55 product(2,0,0,3) = 0.
% 0.07/0.55 product(2,0,1,0) = 0.
% 0.07/0.55 product(2,0,1,1) = 1.
% 0.07/0.55 product(2,0,1,2) = 0.
% 0.07/0.55 product(2,0,1,3) = 0.
% 0.07/0.55 product(2,0,2,0) = 0.
% 0.07/0.55 product(2,0,2,1) = 0.
% 0.07/0.55 product(2,0,2,2) = 1.
% 0.07/0.55 product(2,0,2,3) = 0.
% 0.07/0.55 product(2,0,3,0) = 0.
% 0.07/0.55 product(2,0,3,1) = 0.
% 0.07/0.55 product(2,0,3,2) = 0.
% 0.07/0.55 product(2,0,3,3) = 1.
% 0.07/0.55 product(2,1,0,0) = 0.
% 0.07/0.55 product(2,1,0,1) = 1.
% 0.07/0.55 product(2,1,0,2) = 0.
% 0.07/0.55 product(2,1,0,3) = 0.
% 0.07/0.55 product(2,1,1,0) = 1.
% 0.07/0.55 product(2,1,1,1) = 0.
% 0.07/0.55 product(2,1,1,2) = 0.
% 0.07/0.55 product(2,1,1,3) = 0.
% 0.07/0.55 product(2,1,2,0) = 0.
% 0.07/0.55 product(2,1,2,1) = 0.
% 0.07/0.55 product(2,1,2,2) = 0.
% 0.07/0.55 product(2,1,2,3) = 0.
% 0.07/0.55 product(2,1,3,0) = 0.
% 0.07/0.55 product(2,1,3,1) = 0.
% 0.07/0.55 product(2,1,3,2) = 0.
% 0.07/0.55 product(2,1,3,3) = 0.
% 0.07/0.55 product(2,2,0,0) = 0.
% 0.07/0.55 product(2,2,0,1) = 0.
% 0.07/0.55 product(2,2,0,2) = 1.
% 0.07/0.55 product(2,2,0,3) = 0.
% 0.07/0.55 product(2,2,1,0) = 0.
% 0.07/0.55 product(2,2,1,1) = 0.
% 0.07/0.55 product(2,2,1,2) = 0.
% 0.07/0.55 product(2,2,1,3) = 0.
% 0.07/0.55 product(2,2,2,0) = 1.
% 0.07/0.55 product(2,2,2,1) = 0.
% 0.07/0.55 product(2,2,2,2) = 0.
% 0.07/0.55 product(2,2,2,3) = 0.
% 0.07/0.55 product(2,2,3,0) = 0.
% 0.07/0.55 product(2,2,3,1) = 0.
% 0.07/0.55 product(2,2,3,2) = 0.
% 0.07/0.55 product(2,2,3,3) = 0.
% 0.07/0.55 product(2,3,0,0) = 0.
% 0.07/0.55 product(2,3,0,1) = 0.
% 0.07/0.55 product(2,3,0,2) = 0.
% 0.07/0.55 product(2,3,0,3) = 1.
% 0.07/0.55 product(2,3,1,0) = 0.
% 0.07/0.55 product(2,3,1,1) = 0.
% 0.07/0.55 product(2,3,1,2) = 0.
% 0.07/0.55 product(2,3,1,3) = 0.
% 0.07/0.55 product(2,3,2,0) = 0.
% 0.07/0.55 product(2,3,2,1) = 0.
% 0.07/0.55 product(2,3,2,2) = 0.
% 0.07/0.55 product(2,3,2,3) = 0.
% 0.07/0.55 product(2,3,3,0) = 1.
% 0.07/0.55 product(2,3,3,1) = 0.
% 0.07/0.55 product(2,3,3,2) = 0.
% 0.07/0.55 product(2,3,3,3) = 0.
% 0.07/0.55 product(3,0,0,0) = 1.
% 0.07/0.55 product(3,0,0,1) = 0.
% 0.07/0.55 product(3,0,0,2) = 0.
% 0.07/0.55 product(3,0,0,3) = 0.
% 0.07/0.55 product(3,0,1,0) = 0.
% 0.07/0.55 product(3,0,1,1) = 1.
% 0.07/0.55 product(3,0,1,2) = 0.
% 0.07/0.55 product(3,0,1,3) = 0.
% 0.07/0.55 product(3,0,2,0) = 0.
% 0.07/0.55 product(3,0,2,1) = 0.
% 0.07/0.55 product(3,0,2,2) = 1.
% 0.07/0.55 product(3,0,2,3) = 0.
% 0.07/0.55 product(3,0,3,0) = 0.
% 0.07/0.55 product(3,0,3,1) = 0.
% 0.07/0.55 product(3,0,3,2) = 0.
% 0.07/0.55 product(3,0,3,3) = 1.
% 0.07/0.55 product(3,1,0,0) = 0.
% 0.07/0.55 product(3,1,0,1) = 1.
% 0.07/0.55 product(3,1,0,2) = 0.
% 0.07/0.55 product(3,1,0,3) = 0.
% 0.07/0.55 product(3,1,1,0) = 1.
% 0.07/0.55 product(3,1,1,1) = 0.
% 0.07/0.55 product(3,1,1,2) = 0.
% 0.07/0.55 product(3,1,1,3) = 0.
% 0.07/0.55 product(3,1,2,0) = 0.
% 0.07/0.55 product(3,1,2,1) = 0.
% 0.07/0.55 product(3,1,2,2) = 0.
% 0.07/0.55 product(3,1,2,3) = 0.
% 0.07/0.55 product(3,1,3,0) = 0.
% 0.07/0.55 product(3,1,3,1) = 0.
% 0.07/0.55 product(3,1,3,2) = 0.
% 0.07/0.55 product(3,1,3,3) = 0.
% 0.07/0.55 product(3,2,0,0) = 0.
% 0.07/0.55 product(3,2,0,1) = 0.
% 0.07/0.55 product(3,2,0,2) = 1.
% 0.07/0.55 product(3,2,0,3) = 0.
% 0.07/0.55 product(3,2,1,0) = 0.
% 0.07/0.55 product(3,2,1,1) = 0.
% 0.07/0.55 product(3,2,1,2) = 0.
% 0.07/0.55 product(3,2,1,3) = 0.
% 0.07/0.55 product(3,2,2,0) = 1.
% 0.07/0.55 product(3,2,2,1) = 0.
% 0.07/0.55 product(3,2,2,2) = 0.
% 0.07/0.55 product(3,2,2,3) = 0.
% 0.07/0.55 product(3,2,3,0) = 0.
% 0.07/0.55 product(3,2,3,1) = 0.
% 0.07/0.55 product(3,2,3,2) = 0.
% 0.07/0.55 product(3,2,3,3) = 0.
% 0.07/0.55 product(3,3,0,0) = 0.
% 0.07/0.55 product(3,3,0,1) = 0.
% 0.07/0.55 product(3,3,0,2) = 0.
% 0.07/0.55 product(3,3,0,3) = 1.
% 0.07/0.55 product(3,3,1,0) = 0.
% 0.07/0.55 product(3,3,1,1) = 0.
% 0.07/0.55 product(3,3,1,2) = 0.
% 0.07/0.55 product(3,3,1,3) = 0.
% 0.07/0.55 product(3,3,2,0) = 0.
% 0.07/0.55 product(3,3,2,1) = 0.
% 0.07/0.55 product(3,3,2,2) = 0.
% 0.07/0.55 product(3,3,2,3) = 0.
% 0.07/0.55 product(3,3,3,0) = 1.
% 0.07/0.55 product(3,3,3,1) = 0.
% 0.07/0.55 product(3,3,3,2) = 0.
% 0.07/0.55 product(3,3,3,3) = 0.
% 0.07/0.55
% 0.07/0.55 % SZS output end FiniteModel
% 0.07/0.55 ------ process 13450 exit (max_models) ------
% 0.07/0.55
% 0.07/0.55 User_CPU=0.11, System_CPU=0.00, Wall_clock=0.
% 0.07/0.55
% 0.07/0.55 Exiting with 1 model.
% 0.07/0.55
% 0.07/0.55 Process 13450 exit (max_models) Tue Feb 7 17:07:48 2017
% 0.07/0.55 The process finished Tue Feb 7 17:07:48 2017
% 0.07/0.55 Mace4 ended
%------------------------------------------------------------------------------