TSTP Solution File: CAT020-1 by Mace4---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Mace4---1109a
% Problem : CAT020-1 : TPTP v6.4.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -t %d -f %s
% Computer : n026.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 09:51:24 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 : CAT020-1 : TPTP v6.4.0. Released v2.5.0.
% 0.00/0.04 % Command : mace4 -t %d -f %s
% 0.02/0.23 % Computer : n026.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 23:53:45 CST 2017
% 0.02/0.23 % CPUTime :
% 0.06/0.43 % SZS status Satisfiable
% 0.06/0.43 ============================== Mace4 =================================
% 0.06/0.43 Mace4 (32) version 2009-11A, November 2009.
% 0.06/0.43 Process 13298 was started by sandbox2 on n026.star.cs.uiowa.edu,
% 0.06/0.43 Tue Feb 7 23:53:46 2017
% 0.06/0.43 The command was "/export/starexec/sandbox2/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_13265_n026.star.cs.uiowa.edu".
% 0.06/0.43 ============================== end of head ===========================
% 0.06/0.43
% 0.06/0.43 ============================== INPUT =================================
% 0.06/0.43
% 0.06/0.43 % Reading from file /tmp/Mace4_input_13265_n026.star.cs.uiowa.edu
% 0.06/0.43
% 0.06/0.43 set(prolog_style_variables).
% 0.06/0.43 set(print_models_tabular).
% 0.06/0.43 % set(print_models_tabular) -> clear(print_models).
% 0.06/0.43
% 0.06/0.43 formulas(sos).
% 0.06/0.43 -defined(X,Y) | product(X,Y,compose(X,Y)) # label(closure_of_composition) # label(axiom).
% 0.06/0.43 -product(X,Y,Z) | defined(X,Y) # label(associative_property1) # label(axiom).
% 0.06/0.43 -product(X,Y,Xy) | -defined(Xy,Z) | defined(Y,Z) # label(associative_property2) # label(axiom).
% 0.06/0.43 -product(X,Y,Xy) | -product(Y,Z,Yz) | -defined(Xy,Z) | defined(X,Yz) # label(category_theory_axiom1) # label(axiom).
% 0.06/0.43 -product(X,Y,Xy) | -product(Xy,Z,Xyz) | -product(Y,Z,Yz) | product(X,Yz,Xyz) # label(category_theory_axiom2) # label(axiom).
% 0.06/0.43 -product(Y,Z,Yz) | -defined(X,Yz) | defined(X,Y) # label(category_theory_axiom3) # label(axiom).
% 0.06/0.43 -product(Y,Z,Yz) | -product(X,Y,Xy) | -defined(X,Yz) | defined(Xy,Z) # label(category_theory_axiom4) # label(axiom).
% 0.06/0.43 -product(Y,Z,Yz) | -product(X,Yz,Xyz) | -product(X,Y,Xy) | product(Xy,Z,Xyz) # label(category_theory_axiom5) # label(axiom).
% 0.06/0.43 -defined(X,Y) | -defined(Y,Z) | -identity_map(Y) | defined(X,Z) # label(category_theory_axiom6) # label(axiom).
% 0.06/0.43 identity_map(domain(X)) # label(domain_is_an_identity_map) # label(axiom).
% 0.06/0.43 identity_map(codomain(X)) # label(codomain_is_an_identity_map) # label(axiom).
% 0.06/0.43 defined(X,domain(X)) # label(mapping_from_x_to_its_domain) # label(axiom).
% 0.06/0.43 defined(codomain(X),X) # label(mapping_from_codomain_of_x_to_x) # label(axiom).
% 0.06/0.43 product(X,domain(X),X) # label(product_on_domain) # label(axiom).
% 0.06/0.43 product(codomain(X),X,X) # label(product_on_codomain) # label(axiom).
% 0.06/0.43 -defined(X,Y) | -identity_map(X) | product(X,Y,Y) # label(identity1) # label(axiom).
% 0.06/0.43 -defined(X,Y) | -identity_map(Y) | product(X,Y,X) # label(identity2) # label(axiom).
% 0.06/0.43 -product(X,Y,Z) | -product(X,Y,W) | Z = W # label(composition_is_well_defined) # label(axiom).
% 0.06/0.43 end_of_list.
% 0.06/0.43
% 0.06/0.43 % From the command line: assign(max_seconds, 300).
% 0.06/0.43
% 0.06/0.43 ============================== end of input ==========================
% 0.06/0.43
% 0.06/0.43 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.06/0.43
% 0.06/0.43 % Formulas that are not ordinary clauses:
% 0.06/0.43
% 0.06/0.43 ============================== end of process non-clausal formulas ===
% 0.06/0.43
% 0.06/0.43 ============================== CLAUSES FOR SEARCH ====================
% 0.06/0.43
% 0.06/0.43 formulas(mace4_clauses).
% 0.06/0.43 -defined(A,B) | product(A,B,compose(A,B)) # label(closure_of_composition) # label(axiom).
% 0.06/0.43 -product(A,B,C) | defined(A,B) # label(associative_property1) # label(axiom).
% 0.06/0.43 -product(A,B,C) | -defined(C,D) | defined(B,D) # label(associative_property2) # label(axiom).
% 0.06/0.43 -product(A,B,C) | -product(B,D,E) | -defined(C,D) | defined(A,E) # label(category_theory_axiom1) # label(axiom).
% 0.06/0.43 -product(A,B,C) | -product(C,D,E) | -product(B,D,F) | product(A,F,E) # label(category_theory_axiom2) # label(axiom).
% 0.06/0.43 -product(A,B,C) | -defined(D,C) | defined(D,A) # label(category_theory_axiom3) # label(axiom).
% 0.06/0.43 -product(A,B,C) | -product(D,A,E) | -defined(D,C) | defined(E,B) # label(category_theory_axiom4) # label(axiom).
% 0.06/0.43 -product(A,B,C) | -product(D,C,E) | -product(D,A,F) | product(F,B,E) # label(category_theory_axiom5) # label(axiom).
% 0.06/0.43 -defined(A,B) | -defined(B,C) | -identity_map(B) | defined(A,C) # label(category_theory_axiom6) # label(axiom).
% 0.06/0.43 identity_map(domain(A)) # label(domain_is_an_identity_map) # label(axiom).
% 0.06/0.43 identity_map(codomain(A)) # label(codomain_is_an_identity_map) # label(axiom).
% 0.06/0.43 defined(A,domain(A)) # label(mapping_from_x_to_its_domain) # label(axiom).
% 0.06/0.43 defined(codomain(A),A) # label(mapping_from_codomain_of_x_to_x) # label(axiom).
% 0.06/0.43 product(A,domain(A),A) # label(product_on_domain) # label(axiom).
% 0.06/0.43 product(codomain(A),A,A) # label(product_on_codomain) # label(axiom).
% 0.06/0.43 -defined(A,B) | -identity_map(A) | product(A,B,B) # label(identity1) # label(axiom).
% 0.06/0.43 -defined(A,B) | -identity_map(B) | product(A,B,A) # label(identity2) # label(axiom).
% 0.06/0.43 -product(A,B,C) | -product(A,B,D) | C = D # label(composition_is_well_defined) # label(axiom).
% 0.06/0.43 end_of_list.
% 0.06/0.43
% 0.06/0.43 ============================== end of clauses for search =============
% 0.06/0.43 % SZS output start FiniteModel
% 0.06/0.43
% 0.06/0.43 % There are no natural numbers in the input.
% 0.06/0.43
% 0.06/0.43 codomain :
% 0.06/0.43 0 1
% 0.06/0.43 -------
% 0.06/0.43 0 0
% 0.06/0.43
% 0.06/0.43 domain :
% 0.06/0.43 0 1
% 0.06/0.43 -------
% 0.06/0.43 0 0
% 0.06/0.43
% 0.06/0.43 compose :
% 0.06/0.43 | 0 1
% 0.06/0.43 --+----
% 0.06/0.43 0 | 0 1
% 0.06/0.43 1 | 1 0
% 0.06/0.43
% 0.06/0.43 identity_map :
% 0.06/0.43 0 1
% 0.06/0.43 -------
% 0.06/0.43 1 0
% 0.06/0.43
% 0.06/0.43 defined :
% 0.06/0.43 | 0 1
% 0.06/0.43 --+----
% 0.06/0.43 0 | 1 1
% 0.06/0.43 1 | 1 1
% 0.06/0.43 product(0,0,0) = 1.
% 0.06/0.43 product(0,0,1) = 0.
% 0.06/0.43 product(0,1,0) = 0.
% 0.06/0.43 product(0,1,1) = 1.
% 0.06/0.43 product(1,0,0) = 0.
% 0.06/0.43 product(1,0,1) = 1.
% 0.06/0.43 product(1,1,0) = 1.
% 0.06/0.43 product(1,1,1) = 0.
% 0.06/0.43
% 0.06/0.43 % SZS output end FiniteModel
% 0.06/0.43 ------ process 13298 exit (max_models) ------
% 0.06/0.43
% 0.06/0.43 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.06/0.43
% 0.06/0.43 Exiting with 1 model.
% 0.06/0.43
% 0.06/0.43 Process 13298 exit (max_models) Tue Feb 7 23:53:46 2017
% 0.06/0.43 The process finished Tue Feb 7 23:53:46 2017
% 0.06/0.43 Mace4 ended
%------------------------------------------------------------------------------