TSTP Solution File: GRP027-1 by Mace4---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Mace4---1109a
% Problem : GRP027-1 : TPTP v6.4.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -t %d -f %s
% Computer : n047.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
% 0.00/0.03 % Problem : GRP027-1 : TPTP v6.4.0. Bugfixed v1.2.1.
% 0.00/0.04 % Command : mace4 -t %d -f %s
% 0.03/0.23 % Computer : n047.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 17:07:18 CST 2017
% 0.03/0.23 % CPUTime :
% 0.06/0.45 % SZS status Satisfiable
% 0.06/0.45 ============================== Mace4 =================================
% 0.06/0.45 Mace4 (32) version 2009-11A, November 2009.
% 0.06/0.45 Process 63239 was started by sandbox on n047.star.cs.uiowa.edu,
% 0.06/0.45 Tue Feb 7 17:07:18 2017
% 0.06/0.45 The command was "/export/starexec/sandbox/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_63206_n047.star.cs.uiowa.edu".
% 0.06/0.45 ============================== end of head ===========================
% 0.06/0.45
% 0.06/0.45 ============================== INPUT =================================
% 0.06/0.45
% 0.06/0.45 % Reading from file /tmp/Mace4_input_63206_n047.star.cs.uiowa.edu
% 0.06/0.45
% 0.06/0.45 set(prolog_style_variables).
% 0.06/0.45 set(print_models_tabular).
% 0.06/0.45 % set(print_models_tabular) -> clear(print_models).
% 0.06/0.45
% 0.06/0.45 formulas(sos).
% 0.06/0.45 group_member(identity_for(Xg),Xg) # label(identity_in_group) # label(axiom).
% 0.06/0.45 product(Xg,identity_for(Xg),X,X) # label(left_identity) # label(axiom).
% 0.06/0.45 product(Xg,X,identity_for(Xg),X) # label(right_identity) # label(axiom).
% 0.06/0.45 -group_member(X,Xg) | group_member(inverse(Xg,X),Xg) # label(inverse_in_group) # label(axiom).
% 0.06/0.45 product(Xg,inverse(Xg,X),X,identity_for(Xg)) # label(left_inverse) # label(axiom).
% 0.06/0.45 product(Xg,X,inverse(Xg,X),identity_for(Xg)) # label(right_inverse) # label(axiom).
% 0.06/0.45 -group_member(X,Xg) | -group_member(Y,Xg) | product(Xg,X,Y,multiply(Xg,X,Y)) # label(total_function1_1) # label(axiom).
% 0.06/0.45 -group_member(X,Xg) | -group_member(Y,Xg) | group_member(multiply(Xg,X,Y),Xg) # label(total_function1_2) # label(axiom).
% 0.06/0.45 -product(Xg,X,Y,Z) | -product(Xg,X,Y,W) | W = Z # label(total_function2) # label(axiom).
% 0.06/0.45 -product(Xg,X,Y,Xy) | -product(Xg,Y,Z,Yz) | -product(Xg,Xy,Z,Xyz) | product(Xg,X,Yz,Xyz) # label(associativity1) # label(axiom).
% 0.06/0.45 -product(Xg,X,Y,Xy) | -product(Xg,Y,Z,Yz) | -product(Xg,X,Yz,Xyz) | product(Xg,Xy,Z,Xyz) # label(associativity2) # label(axiom).
% 0.06/0.45 group_member(a,g) # label(a_in_group) # label(hypothesis).
% 0.06/0.45 group_member(b,g) # label(b_in_group) # label(hypothesis).
% 0.06/0.45 group_member(c,g) # label(c_in_group) # label(hypothesis).
% 0.06/0.45 group_member(d,g) # label(d_in_group) # label(hypothesis).
% 0.06/0.45 group_member(i,g) # label(i_in_group) # label(hypothesis).
% 0.06/0.45 identity_for(g) = i # label(i_is_identity) # label(hypothesis).
% 0.06/0.45 -group_member(X,g) | X = a | X = b | X = c | X = d | X = i # label(all_of_group) # label(hypothesis).
% 0.06/0.45 multiply(g,X,multiply(g,X,multiply(g,X,multiply(g,X,X)))) = i # label(multiplication_to_identity) # label(hypothesis).
% 0.06/0.45 not_power_of(g,X) != X # label(all_multiply_to_identity) # label(hypothesis).
% 0.06/0.45 -product(g,X,X,not_power_of(g,X)) # label(x2_is_not_power) # label(negated_conjecture).
% 0.06/0.45 -product(g,X,multiply(g,X,X),not_power_of(g,X)) # label(x3_is_not_power) # label(negated_conjecture).
% 0.06/0.45 -product(g,X,multiply(g,X,multiply(g,X,X)),not_power_of(g,X)) # label(x4_is_not_power) # label(negated_conjecture).
% 0.06/0.45 -product(g,X,multiply(g,X,multiply(g,X,multiply(g,X,X))),not_power_of(g,X)) # label(x5_is_not_power) # label(negated_conjecture).
% 0.06/0.45 end_of_list.
% 0.06/0.45
% 0.06/0.45 % From the command line: assign(max_seconds, 300).
% 0.06/0.45
% 0.06/0.45 ============================== end of input ==========================
% 0.06/0.45
% 0.06/0.45 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.06/0.45
% 0.06/0.45 % Formulas that are not ordinary clauses:
% 0.06/0.45
% 0.06/0.45 ============================== end of process non-clausal formulas ===
% 0.06/0.45
% 0.06/0.45 ============================== CLAUSES FOR SEARCH ====================
% 0.06/0.45
% 0.06/0.45 formulas(mace4_clauses).
% 0.06/0.45 group_member(identity_for(A),A) # label(identity_in_group) # label(axiom).
% 0.06/0.45 product(A,identity_for(A),B,B) # label(left_identity) # label(axiom).
% 0.06/0.45 product(A,B,identity_for(A),B) # label(right_identity) # label(axiom).
% 0.06/0.45 -group_member(A,B) | group_member(inverse(B,A),B) # label(inverse_in_group) # label(axiom).
% 0.06/0.45 product(A,inverse(A,B),B,identity_for(A)) # label(left_inverse) # label(axiom).
% 0.06/0.45 product(A,B,inverse(A,B),identity_for(A)) # label(right_inverse) # label(axiom).
% 0.06/0.45 -group_member(A,B) | -group_member(C,B) | product(B,A,C,multiply(B,A,C)) # label(total_function1_1) # label(axiom).
% 0.06/0.45 -group_member(A,B) | -group_member(C,B) | group_member(multiply(B,A,C),B) # label(total_function1_2) # label(axiom).
% 0.06/0.45 -product(A,B,C,D) | -product(A,B,C,E) | E = D # label(total_function2) # label(axiom).
% 0.06/0.45 -product(A,B,C,D) | -product(A,C,E,F) | -product(A,D,E,V6) | product(A,B,F,V6) # label(associativity1) # label(axiom).
% 0.06/0.45 -product(A,B,C,D) | -product(A,C,E,F) | -product(A,B,F,V6) | product(A,D,E,V6) # label(associativity2) # label(axiom).
% 0.06/0.45 group_member(a,g) # label(a_in_group) # label(hypothesis).
% 0.06/0.45 group_member(b,g) # label(b_in_group) # label(hypothesis).
% 0.06/0.45 group_member(c,g) # label(c_in_group) # label(hypothesis).
% 0.06/0.45 group_member(d,g) # label(d_in_group) # label(hypothesis).
% 0.06/0.45 group_member(i,g) # label(i_in_group) # label(hypothesis).
% 0.06/0.45 identity_for(g) = i # label(i_is_identity) # label(hypothesis).
% 0.06/0.45 -group_member(A,g) | A = a | A = b | A = c | A = d | A = i # label(all_of_group) # label(hypothesis).
% 0.06/0.45 multiply(g,A,multiply(g,A,multiply(g,A,multiply(g,A,A)))) = i # label(multiplication_to_identity) # label(hypothesis).
% 0.06/0.45 not_power_of(g,A) != A # label(all_multiply_to_identity) # label(hypothesis).
% 0.06/0.45 -product(g,A,A,not_power_of(g,A)) # label(x2_is_not_power) # label(negated_conjecture).
% 0.06/0.45 -product(g,A,multiply(g,A,A),not_power_of(g,A)) # label(x3_is_not_power) # label(negated_conjecture).
% 0.06/0.45 -product(g,A,multiply(g,A,multiply(g,A,A)),not_power_of(g,A)) # label(x4_is_not_power) # label(negated_conjecture).
% 0.06/0.45 -product(g,A,multiply(g,A,multiply(g,A,multiply(g,A,A))),not_power_of(g,A)) # label(x5_is_not_power) # label(negated_conjecture).
% 0.06/0.45 end_of_list.
% 0.06/0.45
% 0.06/0.45 ============================== end of clauses for search =============
% 0.06/0.45 % SZS output start FiniteModel
% 0.06/0.45
% 0.06/0.45 % There are no natural numbers in the input.
% 0.06/0.45
% 0.06/0.45 a : 0
% 0.06/0.45
% 0.06/0.45 b : 0
% 0.06/0.45
% 0.06/0.45 c : 0
% 0.06/0.45
% 0.06/0.45 d : 0
% 0.06/0.45
% 0.06/0.45 g : 0
% 0.06/0.45
% 0.06/0.45 i : 0
% 0.06/0.45
% 0.06/0.45 identity_for :
% 0.06/0.45 0 1 2
% 0.06/0.45 ---------
% 0.06/0.45 0 0 0
% 0.06/0.45
% 0.06/0.45 inverse :
% 0.06/0.45 | 0 1 2
% 0.06/0.45 --+------
% 0.06/0.45 0 | 0 1 2
% 0.06/0.45 1 | 0 1 2
% 0.06/0.45 2 | 0 1 2
% 0.06/0.45
% 0.06/0.45 not_power_of :
% 0.06/0.45 | 0 1 2
% 0.06/0.45 --+------
% 0.06/0.45 0 | 1 2 1
% 0.06/0.45 1 | 0 0 0
% 0.06/0.45 2 | 0 0 0
% 0.06/0.45 multiply(0,0,0) = 0.
% 0.06/0.45 multiply(0,0,1) = 0.
% 0.06/0.45 multiply(0,0,2) = 0.
% 0.06/0.45 multiply(0,1,0) = 0.
% 0.06/0.45 multiply(0,1,1) = 0.
% 0.06/0.45 multiply(0,1,2) = 0.
% 0.06/0.45 multiply(0,2,0) = 0.
% 0.06/0.45 multiply(0,2,1) = 0.
% 0.06/0.45 multiply(0,2,2) = 0.
% 0.06/0.45 multiply(1,0,0) = 0.
% 0.06/0.45 multiply(1,0,1) = 0.
% 0.06/0.45 multiply(1,0,2) = 0.
% 0.06/0.45 multiply(1,1,0) = 0.
% 0.06/0.45 multiply(1,1,1) = 0.
% 0.06/0.45 multiply(1,1,2) = 0.
% 0.06/0.45 multiply(1,2,0) = 0.
% 0.06/0.45 multiply(1,2,1) = 0.
% 0.06/0.45 multiply(1,2,2) = 0.
% 0.06/0.45 multiply(2,0,0) = 0.
% 0.06/0.45 multiply(2,0,1) = 0.
% 0.06/0.45 multiply(2,0,2) = 0.
% 0.06/0.45 multiply(2,1,0) = 0.
% 0.06/0.45 multiply(2,1,1) = 0.
% 0.06/0.45 multiply(2,1,2) = 0.
% 0.06/0.45 multiply(2,2,0) = 0.
% 0.06/0.45 multiply(2,2,1) = 0.
% 0.06/0.45 multiply(2,2,2) = 0.
% 0.06/0.45
% 0.06/0.45 group_member :
% 0.06/0.45 | 0 1 2
% 0.06/0.45 --+------
% 0.06/0.45 0 | 1 1 1
% 0.06/0.45 1 | 0 0 0
% 0.06/0.45 2 | 0 0 0
% 0.06/0.45 product(0,0,0,0) = 1.
% 0.06/0.45 product(0,0,0,1) = 0.
% 0.06/0.45 product(0,0,0,2) = 0.
% 0.06/0.45 product(0,0,1,0) = 0.
% 0.06/0.45 product(0,0,1,1) = 1.
% 0.06/0.45 product(0,0,1,2) = 0.
% 0.06/0.45 product(0,0,2,0) = 0.
% 0.06/0.45 product(0,0,2,1) = 0.
% 0.06/0.45 product(0,0,2,2) = 1.
% 0.06/0.45 product(0,1,0,0) = 0.
% 0.06/0.45 product(0,1,0,1) = 1.
% 0.06/0.45 product(0,1,0,2) = 0.
% 0.06/0.45 product(0,1,1,0) = 1.
% 0.06/0.45 product(0,1,1,1) = 0.
% 0.06/0.45 product(0,1,1,2) = 0.
% 0.06/0.45 product(0,1,2,0) = 0.
% 0.06/0.45 product(0,1,2,1) = 0.
% 0.06/0.45 product(0,1,2,2) = 0.
% 0.06/0.45 product(0,2,0,0) = 0.
% 0.06/0.45 product(0,2,0,1) = 0.
% 0.06/0.45 product(0,2,0,2) = 1.
% 0.06/0.45 product(0,2,1,0) = 0.
% 0.06/0.45 product(0,2,1,1) = 0.
% 0.06/0.45 product(0,2,1,2) = 0.
% 0.06/0.45 product(0,2,2,0) = 1.
% 0.06/0.45 product(0,2,2,1) = 0.
% 0.06/0.45 product(0,2,2,2) = 0.
% 0.06/0.45 product(1,0,0,0) = 1.
% 0.06/0.45 product(1,0,0,1) = 0.
% 0.06/0.45 product(1,0,0,2) = 0.
% 0.06/0.45 product(1,0,1,0) = 0.
% 0.06/0.45 product(1,0,1,1) = 1.
% 0.06/0.45 product(1,0,1,2) = 0.
% 0.06/0.45 product(1,0,2,0) = 0.
% 0.06/0.45 product(1,0,2,1) = 0.
% 0.06/0.45 product(1,0,2,2) = 1.
% 0.06/0.45 product(1,1,0,0) = 0.
% 0.06/0.45 product(1,1,0,1) = 1.
% 0.06/0.45 product(1,1,0,2) = 0.
% 0.06/0.45 product(1,1,1,0) = 1.
% 0.06/0.45 product(1,1,1,1) = 0.
% 0.06/0.45 product(1,1,1,2) = 0.
% 0.06/0.45 product(1,1,2,0) = 0.
% 0.06/0.45 product(1,1,2,1) = 0.
% 0.06/0.45 product(1,1,2,2) = 0.
% 0.06/0.45 product(1,2,0,0) = 0.
% 0.06/0.45 product(1,2,0,1) = 0.
% 0.06/0.45 product(1,2,0,2) = 1.
% 0.06/0.45 product(1,2,1,0) = 0.
% 0.06/0.45 product(1,2,1,1) = 0.
% 0.06/0.45 product(1,2,1,2) = 0.
% 0.06/0.45 product(1,2,2,0) = 1.
% 0.06/0.45 product(1,2,2,1) = 0.
% 0.06/0.45 product(1,2,2,2) = 0.
% 0.06/0.45 product(2,0,0,0) = 1.
% 0.06/0.45 product(2,0,0,1) = 0.
% 0.06/0.45 product(2,0,0,2) = 0.
% 0.06/0.45 product(2,0,1,0) = 0.
% 0.06/0.45 product(2,0,1,1) = 1.
% 0.06/0.45 product(2,0,1,2) = 0.
% 0.06/0.45 product(2,0,2,0) = 0.
% 0.06/0.45 product(2,0,2,1) = 0.
% 0.06/0.45 product(2,0,2,2) = 1.
% 0.06/0.45 product(2,1,0,0) = 0.
% 0.06/0.45 product(2,1,0,1) = 1.
% 0.06/0.45 product(2,1,0,2) = 0.
% 0.06/0.45 product(2,1,1,0) = 1.
% 0.06/0.45 product(2,1,1,1) = 0.
% 0.06/0.45 product(2,1,1,2) = 0.
% 0.06/0.45 product(2,1,2,0) = 0.
% 0.06/0.45 product(2,1,2,1) = 0.
% 0.06/0.45 product(2,1,2,2) = 0.
% 0.06/0.45 product(2,2,0,0) = 0.
% 0.06/0.45 product(2,2,0,1) = 0.
% 0.06/0.45 product(2,2,0,2) = 1.
% 0.06/0.45 product(2,2,1,0) = 0.
% 0.06/0.45 product(2,2,1,1) = 0.
% 0.06/0.45 product(2,2,1,2) = 0.
% 0.06/0.45 product(2,2,2,0) = 1.
% 0.06/0.45 product(2,2,2,1) = 0.
% 0.06/0.45 product(2,2,2,2) = 0.
% 0.06/0.45
% 0.06/0.45 % SZS output end FiniteModel
% 0.06/0.45 ------ process 63239 exit (max_models) ------
% 0.06/0.45
% 0.06/0.45 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.06/0.45
% 0.06/0.45 Exiting with 1 model.
% 0.06/0.45
% 0.06/0.45 Process 63239 exit (max_models) Tue Feb 7 17:07:18 2017
% 0.06/0.45 The process finished Tue Feb 7 17:07:18 2017
% 0.06/0.45 Mace4 ended
%------------------------------------------------------------------------------