0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : tptp2X_and_run_prover9 %d %s 0.02/0.24 % Computer : n149.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 04:42:40 CDT 2018 0.02/0.24 % CPUTime : 0.07/0.45 ============================== Prover9 =============================== 0.07/0.45 Prover9 (32) version 2009-11A, November 2009. 0.07/0.45 Process 39972 was started by sandbox2 on n149.star.cs.uiowa.edu, 0.07/0.45 Sat Jul 14 04:42:40 2018 0.07/0.45 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_39940_n149.star.cs.uiowa.edu". 0.07/0.45 ============================== end of head =========================== 0.07/0.45 0.07/0.45 ============================== INPUT ================================= 0.07/0.45 0.07/0.45 % Reading from file /tmp/Prover9_39940_n149.star.cs.uiowa.edu 0.07/0.45 0.07/0.45 set(prolog_style_variables). 0.07/0.45 set(auto2). 0.07/0.45 % set(auto2) -> set(auto). 0.07/0.45 % set(auto) -> set(auto_inference). 0.07/0.45 % set(auto) -> set(auto_setup). 0.07/0.45 % set(auto_setup) -> set(predicate_elim). 0.07/0.45 % set(auto_setup) -> assign(eq_defs, unfold). 0.07/0.45 % set(auto) -> set(auto_limits). 0.07/0.45 % set(auto_limits) -> assign(max_weight, "100.000"). 0.07/0.45 % set(auto_limits) -> assign(sos_limit, 20000). 0.07/0.45 % set(auto) -> set(auto_denials). 0.07/0.45 % set(auto) -> set(auto_process). 0.07/0.45 % set(auto2) -> assign(new_constants, 1). 0.07/0.45 % set(auto2) -> assign(fold_denial_max, 3). 0.07/0.45 % set(auto2) -> assign(max_weight, "200.000"). 0.07/0.45 % set(auto2) -> assign(max_hours, 1). 0.07/0.45 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.07/0.45 % set(auto2) -> assign(max_seconds, 0). 0.07/0.45 % set(auto2) -> assign(max_minutes, 5). 0.07/0.45 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.07/0.45 % set(auto2) -> set(sort_initial_sos). 0.07/0.45 % set(auto2) -> assign(sos_limit, -1). 0.07/0.45 % set(auto2) -> assign(lrs_ticks, 3000). 0.07/0.45 % set(auto2) -> assign(max_megs, 400). 0.07/0.45 % set(auto2) -> assign(stats, some). 0.07/0.45 % set(auto2) -> clear(echo_input). 0.07/0.45 % set(auto2) -> set(quiet). 0.07/0.45 % set(auto2) -> clear(print_initial_clauses). 0.07/0.45 % set(auto2) -> clear(print_given). 0.07/0.45 assign(lrs_ticks,-1). 0.07/0.45 assign(sos_limit,10000). 0.07/0.45 assign(order,kbo). 0.07/0.45 set(lex_order_vars). 0.07/0.45 clear(print_given). 0.07/0.45 0.07/0.45 % formulas(sos). % not echoed (16 formulas) 0.07/0.45 0.07/0.45 ============================== end of input ========================== 0.07/0.45 0.07/0.45 % From the command line: assign(max_seconds, 300). 0.07/0.45 0.07/0.45 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.07/0.45 0.07/0.45 % Formulas that are not ordinary clauses: 0.07/0.45 1 (all X all Y (smaller(X,Y) <-> greater(Y,X))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 2 (all X all Y (X = Y | greater(X,Y) <-> greater_or_equal(X,Y))) # label(definition_greater_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 3 (all X all Y (smaller(X,Y) | X = Y | greater(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 4 (all X all Y all Z (greater(X,Y) & greater(Y,Z) -> greater(X,Z))) # label(meaning_postulate_greater_transitive) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 5 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 6 (all X all Y (smaller_or_equal(X,Y) <-> smaller(X,Y) | X = Y)) # label(definition_smaller_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 7 (all X (has_endowment(X) <-> (all T ((greater(age(X,T),eta) -> -has_immunity(X,T)) & (smaller_or_equal(age(X,T),eta) -> has_immunity(X,T)) & organization(X))))) # label(definition_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 8 (all X all T0 all T (has_immunity(X,T0) & -has_immunity(X,T) & organization(X) -> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))) # label(assumption_3) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 9 (all X all T0 all T (organization(X) -> internal_friction(X,T) = internal_friction(X,T0))) # label(assumption_9) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 10 (all X all T0 all T (greater(age(X,T),age(X,T0)) & organization(X) -> greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)))) # label(assumption_7) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 11 (all X all T0 all T (organization(X) -> (greater(external_ties(X,T),external_ties(X,T0)) -> greater(position(X,T),position(X,T0))) & (external_ties(X,T0) = external_ties(X,T) -> position(X,T0) = position(X,T)))) # label(assumption_6) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 12 (all X all T0 all T (organization(X) & greater(age(X,T),age(X,T0)) -> greater(external_ties(X,T),external_ties(X,T0)))) # label(assumption_8) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 13 (all X all T0 all T (organization(X) -> (internal_friction(X,T) = internal_friction(X,T0) & stock_of_knowledge(X,T0) = stock_of_knowledge(X,T) -> capability(X,T) = capability(X,T0)) & (smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) & greater(internal_friction(X,T),internal_friction(X,T0)) -> smaller(capability(X,T),capability(X,T0))) & (smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) & greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) -> greater(capability(X,T),capability(X,T0))))) # label(assumption_5) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 14 (all X all T0 all T (organization(X) & -has_immunity(X,T) & -has_immunity(X,T0) -> (position(X,T0) = position(X,T) & capability(X,T) = capability(X,T0) -> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0)) & (greater_or_equal(capability(X,T),capability(X,T0)) & greater(position(X,T),position(X,T0)) -> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))) & (greater(capability(X,T),capability(X,T0)) & greater_or_equal(position(X,T),position(X,T0)) -> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))))) # label(assumption_4) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 15 (all X all T0 all T (has_immunity(X,T0) & has_immunity(X,T) & organization(X) -> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0))) # label(assumption_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.45 16 -(all X all T0 all T1 all T2 all T3 (has_endowment(X) & greater(age(X,T3),age(X,T2)) & greater(age(X,T2),eta) & smaller_or_equal(age(X,T1),eta) & smaller_or_equal(age(X,T0),age(X,T1)) & organization(X) -> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) & greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1)) & greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)))) # label(theorem_2) # label(negated_conjecture) # label(non_clause). [assumption]. 0.07/0.45 0.07/0.45 ============================== end of process non-clausal formulas === 0.07/0.45 0.07/0.45 ============================== PROCESS INITIAL CLAUSES =============== 0.07/0.45 0.07/0.45 ============================== PREDICATE ELIMINATION ================= 0.07/0.45 17 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(7)]. 0.07/0.45 18 has_endowment(c1) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.07/0.45 Derived: -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(17,a,18,a)]. 0.07/0.45 19 -has_endowment(A) | organization(A) # label(definition_1) # label(axiom). [clausify(7)]. 0.07/0.45 Derived: organization(c1). [resolve(19,a,18,a)]. 0.07/0.45 20 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(7)]. 0.07/0.45 Derived: -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(20,a,18,a)]. 0.07/0.45 21 has_endowment(A) | greater(age(A,f1(A)),eta) | -has_immunity(A,f1(A)) | -organization(A) # label(definition_1) # label(axiom). [clausify(7)]. 0.07/0.45 Derived: greater(age(A,f1(A)),eta) | -has_immunity(A,f1(A)) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(21,a,17,a)]. 0.07/0.45 Derived: greater(age(A,f1(A)),eta) | -has_immunity(A,f1(A)) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(21,a,20,a)]. 0.07/0.45 22 has_endowment(A) | has_immunity(A,f1(A)) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) # label(definition_1) # label(axiom). [clausify(7)]. 0.07/0.45 Derived: has_immunity(A,f1(A)) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(22,a,17,a)]. 0.07/0.45 Derived: has_immunity(A,f1(A)) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(22,a,20,a)]. 0.07/0.45 23 has_endowment(A) | greater(age(A,f1(A)),eta) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) # label(definition_1) # label(axiom). [clausify(7)]. 0.07/0.45 Derived: greater(age(A,f1(A)),eta) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(23,a,17,a)]. 0.07/0.45 Derived: greater(age(A,f1(A)),eta) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(23,a,20,a)]. 0.07/0.45 24 -organization(A) | internal_friction(A,B) = internal_friction(A,C) # label(assumption_9) # label(axiom). [clausify(9)]. 0.07/0.45 25 organization(c1) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.07/0.45 Derived: internal_friction(c1,A) = internal_friction(c1,B). [resolve(24,a,25,a)]. 0.07/0.45 26 -has_immunity(A,B) | has_immunity(A,C) | -organization(A) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) # label(assumption_3) # label(axiom). [clausify(8)]. 0.07/0.45 Derived: -has_immunity(c1,A) | has_immunity(c1,B) | greater(hazard_of_mortality(c1,B),hazard_of_mortality(c1,A)). [resolve(26,c,25,a)]. 0.07/0.45 27 -has_immunity(A,B) | -has_immunity(A,C) | -organization(A) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) # label(assumption_2) # label(axiom). [clausify(15)]. 0.07/0.45 Derived: -has_immunity(c1,A) | -has_immunity(c1,B) | hazard_of_mortality(c1,A) = hazard_of_mortality(c1,B). [resolve(27,c,25,a)]. 0.07/0.45 28 -greater(age(A,B),age(A,C)) | -organization(A) | greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) # label(assumption_7) # label(axiom). [clausify(10)]. 0.07/0.45 Derived: -greater(age(c1,A),age(c1,B)) | greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)). [resolve(28,b,25,a)]. 0.07/0.45 29 -organization(A) | -greater(external_ties(A,B),external_ties(A,C)) | greater(position(A,B),position(A,C)) # label(assumption_6) # label(axiom). [clausify(11)]. 0.07/0.45 Derived: -greater(external_ties(c1,A),external_ties(c1,B)) | greater(position(c1,A),position(c1,B)). [resolve(29,a,25,a)]. 0.07/0.45 30 -organization(A) | external_ties(A,B) != external_ties(A,C) | position(A,B) = position(A,C) # label(assumption_6) # label(axiom). [clausify(11)]. 0.07/0.45 Derived: external_ties(c1,A) != external_ties(c1,B) | position(c1,A) = position(c1,B). [resolve(30,a,25,a)]. 0.07/0.45 31 -organization(A) | -greater(age(A,B),age(A,C)) | greater(external_ties(A,B),external_ties(A,C)) # label(assumption_8) # label(axiom). [clausify(12)]. 0.07/0.45 Derived: -greater(age(c1,A),age(c1,B)) | greater(external_ties(c1,A),external_ties(c1,B)). [resolve(31,a,25,a)]. 0.07/0.45 32 -organization(A) | internal_friction(A,B) != internal_friction(A,C) | stock_of_knowledge(A,B) != stock_of_knowledge(A,C) | capability(A,B) = capability(A,C) # label(assumption_5) # label(axiom). [clausify(13)]. 0.07/0.45 Derived: internal_friction(c1,A) != internal_friction(c1,B) | stock_of_knowledge(c1,A) != stock_of_knowledge(c1,B) | capability(c1,A) = capability(c1,B). [resolve(32,a,25,a)]. 0.07/0.45 33 -organization(A) | -smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) | -greater(internal_friction(A,B),internal_friction(A,C)) | smaller(capability(A,B),capability(A,C)) # label(assumption_5) # label(axiom). [clausify(13)]. 0.07/0.45 Derived: -smaller_or_equal(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)) | -greater(internal_friction(c1,A),internal_friction(c1,B)) | smaller(capability(c1,A),capability(c1,B)). [resolve(33,a,25,a)]. 0.07/0.45 34 -organization(A) | -smaller_or_equal(internal_friction(A,B),internal_friction(A,C)) | -greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) | greater(capability(A,B),capability(A,C)) # label(assumption_5) # label(axiom). [clausify(13)]. 0.07/0.45 Derived: -smaller_or_equal(internal_friction(c1,A),internal_friction(c1,B)) | -greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)) | greater(capability(c1,A),capability(c1,B)). [resolve(34,a,25,a)]. 0.07/0.45 35 -organization(A) | has_immunity(A,B) | has_immunity(A,C) | position(A,C) != position(A,B) | capability(A,C) != capability(A,B) | hazard_of_mortality(A,C) = hazard_of_mortality(A,B) # label(assumption_4) # label(axiom). [clausify(14)]. 0.07/0.45 Derived: has_immunity(c1,A) | has_immunity(c1,B) | position(c1,B) != position(c1,A) | capability(c1,B) != capability(c1,A) | hazard_of_mortality(c1,B) = hazard_of_mortality(c1,A). [resolve(35,a,25,a)]. 0.07/0.45 36 -organization(A) | has_immunity(A,B) | has_immunity(A,C) | -greater_or_equal(capability(A,B),capability(A,C)) | -greater(position(A,B),position(A,C)) | smaller(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) # label(assumption_4) # label(axiom). [clausify(14)]. 0.07/0.45 Derived: has_immunity(c1,A) | has_immunity(c1,B) | -greater_or_equal(capability(c1,A),capability(c1,B)) | -greater(position(c1,A),position(c1,B)) | smaller(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(36,a,25,a)]. 0.07/0.45 37 -organization(A) | has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,B),capability(A,C)) | -greater_or_equal(position(A,B),position(A,C)) | smaller(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) # label(assumption_4) # label(axiom). [clausify(14)]. 0.07/0.45 Derived: has_immunity(c1,A) | has_immunity(c1,B) | -greater(capability(c1,A),capability(c1,B)) | -greater_or_equal(position(c1,A),position(c1,B)) | smaller(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(37,a,25,a)]. 0.07/0.45 38 organization(c1). [resolve(19,a,18,a)]. 0.07/0.45 39 greater(age(A,f1(A)),eta) | -has_immunity(A,f1(A)) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(21,a,17,a)]. 0.07/0.45 Derived: greater(age(c1,f1(c1)),eta) | -has_immunity(c1,f1(c1)) | -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(39,c,25,a)]. 0.07/0.45 40 greater(age(A,f1(A)),eta) | -has_immunity(A,f1(A)) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(21,a,20,a)]. 0.07/0.45 Derived: greater(age(c1,f1(c1)),eta) | -has_immunity(c1,f1(c1)) | -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(40,c,25,a)]. 0.07/0.45 41 has_immunity(A,f1(A)) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(22,a,17,a)]. 0.07/0.45 Derived: has_immunity(c1,f1(c1)) | smaller_or_equal(age(c1,f1(c1)),eta) | -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(41,c,25,a)]. 0.07/0.45 42 has_immunity(A,f1(A)) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(22,a,20,a)]. 0.07/0.45 Derived: has_immunity(c1,f1(c1)) | smaller_or_equal(age(c1,f1(c1)),eta) | -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(42,c,25,a)]. 0.07/0.45 43 greater(age(A,f1(A)),eta) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(23,a,17,a)]. 0.07/0.45 Derived: greater(age(c1,f1(c1)),eta) | smaller_or_equal(age(c1,f1(c1)),eta) | -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(43,c,25,a)]. 0.07/0.45 44 greater(age(A,f1(A)),eta) | smaller_or_equal(age(A,f1(A)),eta) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(23,a,20,a)]. 0.07/0.45 Derived: greater(age(c1,f1(c1)),eta) | smaller_or_equal(age(c1,f1(c1)),eta) | -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(44,c,25,a)]. 0.07/0.45 45 -smaller(A,B) | greater(B,A) # label(definition_smaller) # label(axiom). [clausify(1)]. 0.07/0.45 46 smaller(A,B) | B = A | greater(A,B) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(3)]. 0.07/0.45 Derived: greater(A,B) | A = B | greater(B,A). [resolve(45,a,46,a)]. 0.07/0.45 47 smaller(A,B) | -greater(B,A) # label(definition_smaller) # label(axiom). [clausify(1)]. 0.07/0.45 48 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(6)]. 0.07/0.45 Derived: smaller_or_equal(A,B) | B = A | greater(A,B). [resolve(48,b,46,a)]. 0.07/0.45 Derived: smaller_or_equal(A,B) | -greater(B,A). [resolve(48,b,47,a)]. 0.07/0.45 49 -smaller_or_equal(A,B) | smaller(A,B) | B = A # label(definition_smaller_or_equal) # label(axiom). [clausify(6)]. 0.07/0.45 Derived: -smaller_or_equal(A,B) | B = A | greater(B,A). [resolve(49,b,45,a)]. 0.07/0.45 50 -smaller_or_equal(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)) | -greater(internal_friction(c1,A),internal_friction(c1,B)) | smaller(capability(c1,A),capability(c1,B)). [resolve(33,a,25,a)]. 0.07/0.45 Derived: -smaller_or_equal(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)) | -greater(internal_friction(c1,A),internal_friction(c1,B)) | greater(capability(c1,B),capability(c1,A)). [resolve(50,c,45,a)]. 0.07/0.45 Derived: -smaller_or_equal(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)) | -greater(internal_friction(c1,A),internal_friction(c1,B)) | smaller_or_equal(capability(c1,A),capability(c1,B)). [resolve(50,c,48,b)]. 0.07/0.46 51 has_immunity(c1,A) | has_immunity(c1,B) | -greater_or_equal(capability(c1,A),capability(c1,B)) | -greater(position(c1,A),position(c1,B)) | smaller(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(36,a,25,a)]. 0.07/0.46 Derived: has_immunity(c1,A) | has_immunity(c1,B) | -greater_or_equal(capability(c1,A),capability(c1,B)) | -greater(position(c1,A),position(c1,B)) | greater(hazard_of_mortality(c1,B),hazard_of_mortality(c1,A)). [resolve(51,e,45,a)]. 0.07/0.46 Derived: has_immunity(c1,A) | has_immunity(c1,B) | -greater_or_equal(capability(c1,A),capability(c1,B)) | -greater(position(c1,A),position(c1,B)) | smaller_or_equal(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(51,e,48,b)]. 0.07/0.46 52 has_immunity(c1,A) | has_immunity(c1,B) | -greater(capability(c1,A),capability(c1,B)) | -greater_or_equal(position(c1,A),position(c1,B)) | smaller(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(37,a,25,a)]. 0.07/0.46 Derived: has_immunity(c1,A) | has_immunity(c1,B) | -greater(capability(c1,A),capability(c1,B)) | -greater_or_equal(position(c1,A),position(c1,B)) | greater(hazard_of_mortality(c1,B),hazard_of_mortality(c1,A)). [resolve(52,e,45,a)]. 0.07/0.46 Derived: has_immunity(c1,A) | has_immunity(c1,B) | -greater(capability(c1,A),capability(c1,B)) | -greater_or_equal(position(c1,A),position(c1,B)) | smaller_or_equal(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(52,e,48,b)]. 0.07/0.46 0.07/0.46 ============================== end predicate elimination ============= 0.07/0.46 0.07/0.46 Auto_denials: (non-Horn, no changes). 0.07/0.46 0.07/0.46 Term ordering decisions: 0.07/0.46 0.07/0.46 % Assigning unary symbol f1 kb_weight 0 and highest precedence (19). 0.07/0.46 Function symbol KB weights: eta=1. c1=1. c2=1. c3=1. c4=1. c5=1. age=1. capability=1. hazard_of_mortality=1. position=1. internal_friction=1. stock_of_knowledge=1. external_ties=1. f1=0. 0.07/0.46 0.07/0.46 ============================== end of process initial clauses ======== 0.07/0.46 0.07/0.46 ============================== CLAUSES FOR SEARCH ==================== 0.07/0.46 0.07/0.46 ============================== end of clauses for search ============= 0.07/0.46 0.07/0.46 ============================== SEARCH ================================ 0.07/0.46 0.07/0.46 % Starting search at 0.01 seconds. 0.07/0.46 0.07/0.46 ============================== PROOF ================================= 0.07/0.46 % SZS status Theorem 0.07/0.46 % SZS output start Refutation 0.07/0.46 0.07/0.46 % Proof 1 at 0.02 (+ 0.00) seconds. 0.07/0.46 % Length of proof is 85. 0.07/0.46 % Level of proof is 16. 0.07/0.46 % Maximum clause weight is 27.000. 0.07/0.46 % Given clauses 96. 0.07/0.46 0.07/0.46 1 (all X all Y (smaller(X,Y) <-> greater(Y,X))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 2 (all X all Y (X = Y | greater(X,Y) <-> greater_or_equal(X,Y))) # label(definition_greater_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 3 (all X all Y (smaller(X,Y) | X = Y | greater(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 4 (all X all Y all Z (greater(X,Y) & greater(Y,Z) -> greater(X,Z))) # label(meaning_postulate_greater_transitive) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 6 (all X all Y (smaller_or_equal(X,Y) <-> smaller(X,Y) | X = Y)) # label(definition_smaller_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 7 (all X (has_endowment(X) <-> (all T ((greater(age(X,T),eta) -> -has_immunity(X,T)) & (smaller_or_equal(age(X,T),eta) -> has_immunity(X,T)) & organization(X))))) # label(definition_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 8 (all X all T0 all T (has_immunity(X,T0) & -has_immunity(X,T) & organization(X) -> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))) # label(assumption_3) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 9 (all X all T0 all T (organization(X) -> internal_friction(X,T) = internal_friction(X,T0))) # label(assumption_9) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 10 (all X all T0 all T (greater(age(X,T),age(X,T0)) & organization(X) -> greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)))) # label(assumption_7) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 11 (all X all T0 all T (organization(X) -> (greater(external_ties(X,T),external_ties(X,T0)) -> greater(position(X,T),position(X,T0))) & (external_ties(X,T0) = external_ties(X,T) -> position(X,T0) = position(X,T)))) # label(assumption_6) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 12 (all X all T0 all T (organization(X) & greater(age(X,T),age(X,T0)) -> greater(external_ties(X,T),external_ties(X,T0)))) # label(assumption_8) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 13 (all X all T0 all T (organization(X) -> (internal_friction(X,T) = internal_friction(X,T0) & stock_of_knowledge(X,T0) = stock_of_knowledge(X,T) -> capability(X,T) = capability(X,T0)) & (smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) & greater(internal_friction(X,T),internal_friction(X,T0)) -> smaller(capability(X,T),capability(X,T0))) & (smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) & greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) -> greater(capability(X,T),capability(X,T0))))) # label(assumption_5) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 14 (all X all T0 all T (organization(X) & -has_immunity(X,T) & -has_immunity(X,T0) -> (position(X,T0) = position(X,T) & capability(X,T) = capability(X,T0) -> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0)) & (greater_or_equal(capability(X,T),capability(X,T0)) & greater(position(X,T),position(X,T0)) -> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))) & (greater(capability(X,T),capability(X,T0)) & greater_or_equal(position(X,T),position(X,T0)) -> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))))) # label(assumption_4) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 15 (all X all T0 all T (has_immunity(X,T0) & has_immunity(X,T) & organization(X) -> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0))) # label(assumption_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.46 16 -(all X all T0 all T1 all T2 all T3 (has_endowment(X) & greater(age(X,T3),age(X,T2)) & greater(age(X,T2),eta) & smaller_or_equal(age(X,T1),eta) & smaller_or_equal(age(X,T0),age(X,T1)) & organization(X) -> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) & greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1)) & greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)))) # label(theorem_2) # label(negated_conjecture) # label(non_clause). [assumption]. 0.07/0.46 17 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(7)]. 0.07/0.46 18 has_endowment(c1) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.07/0.46 20 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(7)]. 0.07/0.46 24 -organization(A) | internal_friction(A,B) = internal_friction(A,C) # label(assumption_9) # label(axiom). [clausify(9)]. 0.07/0.46 25 organization(c1) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.07/0.46 26 -has_immunity(A,B) | has_immunity(A,C) | -organization(A) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) # label(assumption_3) # label(axiom). [clausify(8)]. 0.07/0.46 27 -has_immunity(A,B) | -has_immunity(A,C) | -organization(A) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) # label(assumption_2) # label(axiom). [clausify(15)]. 0.07/0.46 28 -greater(age(A,B),age(A,C)) | -organization(A) | greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) # label(assumption_7) # label(axiom). [clausify(10)]. 0.07/0.46 29 -organization(A) | -greater(external_ties(A,B),external_ties(A,C)) | greater(position(A,B),position(A,C)) # label(assumption_6) # label(axiom). [clausify(11)]. 0.07/0.46 31 -organization(A) | -greater(age(A,B),age(A,C)) | greater(external_ties(A,B),external_ties(A,C)) # label(assumption_8) # label(axiom). [clausify(12)]. 0.07/0.46 34 -organization(A) | -smaller_or_equal(internal_friction(A,B),internal_friction(A,C)) | -greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) | greater(capability(A,B),capability(A,C)) # label(assumption_5) # label(axiom). [clausify(13)]. 0.07/0.46 37 -organization(A) | has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,B),capability(A,C)) | -greater_or_equal(position(A,B),position(A,C)) | smaller(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) # label(assumption_4) # label(axiom). [clausify(14)]. 0.07/0.46 45 -smaller(A,B) | greater(B,A) # label(definition_smaller) # label(axiom). [clausify(1)]. 0.07/0.46 46 smaller(A,B) | B = A | greater(A,B) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(3)]. 0.07/0.46 47 smaller(A,B) | -greater(B,A) # label(definition_smaller) # label(axiom). [clausify(1)]. 0.07/0.46 48 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(6)]. 0.07/0.46 49 -smaller_or_equal(A,B) | smaller(A,B) | B = A # label(definition_smaller_or_equal) # label(axiom). [clausify(6)]. 0.07/0.46 52 has_immunity(c1,A) | has_immunity(c1,B) | -greater(capability(c1,A),capability(c1,B)) | -greater_or_equal(position(c1,A),position(c1,B)) | smaller(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(37,a,25,a)]. 0.07/0.46 53 greater(age(c1,c4),eta) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.07/0.46 54 smaller_or_equal(age(c1,c3),eta) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.07/0.46 55 greater(age(c1,c5),age(c1,c4)) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.07/0.46 56 smaller_or_equal(age(c1,c2),age(c1,c3)) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.07/0.46 58 hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2) | -greater(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)) | -greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c5)) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.07/0.46 60 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 0.07/0.46 61 smaller_or_equal(A,B) | B != A # label(definition_smaller_or_equal) # label(axiom). [clausify(6)]. 0.07/0.46 63 -greater(A,B) | -greater(B,C) | greater(A,C) # label(meaning_postulate_greater_transitive) # label(axiom). [clausify(4)]. 0.07/0.46 64 -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(17,a,18,a)]. 0.07/0.46 65 -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(20,a,18,a)]. 0.07/0.46 66 internal_friction(c1,A) = internal_friction(c1,B). [resolve(24,a,25,a)]. 0.07/0.46 67 -has_immunity(c1,A) | has_immunity(c1,B) | greater(hazard_of_mortality(c1,B),hazard_of_mortality(c1,A)). [resolve(26,c,25,a)]. 0.07/0.46 68 -has_immunity(c1,A) | -has_immunity(c1,B) | hazard_of_mortality(c1,A) = hazard_of_mortality(c1,B). [resolve(27,c,25,a)]. 0.07/0.46 69 -greater(age(c1,A),age(c1,B)) | greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)). [resolve(28,b,25,a)]. 0.07/0.46 70 -greater(external_ties(c1,A),external_ties(c1,B)) | greater(position(c1,A),position(c1,B)). [resolve(29,a,25,a)]. 0.07/0.46 72 -greater(age(c1,A),age(c1,B)) | greater(external_ties(c1,A),external_ties(c1,B)). [resolve(31,a,25,a)]. 0.07/0.46 75 -smaller_or_equal(internal_friction(c1,A),internal_friction(c1,B)) | -greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)) | greater(capability(c1,A),capability(c1,B)). [resolve(34,a,25,a)]. 0.07/0.46 77 greater(A,B) | A = B | greater(B,A). [resolve(45,a,46,a)]. 0.07/0.46 79 smaller_or_equal(A,B) | -greater(B,A). [resolve(48,b,47,a)]. 0.07/0.46 80 -smaller_or_equal(A,B) | B = A | greater(B,A). [resolve(49,b,45,a)]. 0.07/0.46 85 has_immunity(c1,A) | has_immunity(c1,B) | -greater(capability(c1,A),capability(c1,B)) | -greater_or_equal(position(c1,A),position(c1,B)) | greater(hazard_of_mortality(c1,B),hazard_of_mortality(c1,A)). [resolve(52,e,45,a)]. 0.07/0.46 88 internal_friction(c1,A) = c_0. [new_symbol(66)]. 0.07/0.46 89 -smaller_or_equal(c_0,c_0) | -greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)) | greater(capability(c1,A),capability(c1,B)). [back_rewrite(75),rewrite([88(2),88(3)])]. 0.07/0.46 95 smaller_or_equal(A,A). [xx_res(61,b)]. 0.07/0.46 96 -greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)) | greater(capability(c1,A),capability(c1,B)). [back_unit_del(89),unit_del(a,95)]. 0.07/0.46 97 -greater(age(c1,c4),A) | greater(age(c1,c5),A). [resolve(63,a,55,a)]. 0.07/0.46 101 -has_immunity(c1,c4). [ur(64,a,53,a)]. 0.07/0.46 102 has_immunity(c1,c3). [resolve(65,a,54,a)]. 0.07/0.46 103 greater(stock_of_knowledge(c1,c5),stock_of_knowledge(c1,c4)). [resolve(69,a,55,a)]. 0.07/0.46 104 greater(external_ties(c1,c5),external_ties(c1,c4)). [resolve(72,a,55,a)]. 0.07/0.46 119 smaller_or_equal(A,B) | greater(A,B) | A = B. [resolve(79,b,77,c)]. 0.07/0.46 122 age(c1,c3) = age(c1,c2) | greater(age(c1,c3),age(c1,c2)). [resolve(80,a,56,a)]. 0.07/0.46 128 -has_immunity(c1,A) | hazard_of_mortality(c1,c3) = hazard_of_mortality(c1,A). [resolve(102,a,68,b),flip(b)]. 0.07/0.46 129 has_immunity(c1,A) | greater(hazard_of_mortality(c1,A),hazard_of_mortality(c1,c3)). [resolve(102,a,67,a)]. 0.07/0.46 130 -greater(age(c1,c3),eta). [resolve(102,a,64,b)]. 0.07/0.46 141 greater(position(c1,c5),position(c1,c4)). [resolve(104,a,70,a)]. 0.07/0.46 146 greater(capability(c1,c5),capability(c1,c4)). [resolve(96,a,103,a)]. 0.07/0.46 153 greater_or_equal(position(c1,c5),position(c1,c4)). [resolve(141,a,60,a)]. 0.07/0.46 156 greater(age(c1,c5),eta). [resolve(97,a,53,a)]. 0.07/0.46 161 -has_immunity(c1,c5). [ur(64,a,156,a)]. 0.07/0.46 172 greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c5)). [resolve(153,a,85,d),unit_del(a,161),unit_del(b,101),unit_del(c,146)]. 0.07/0.46 174 hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2) | -greater(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)). [back_unit_del(58),unit_del(c,172)]. 0.07/0.46 214 greater(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)). [resolve(129,a,161,a)]. 0.07/0.46 221 hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2). [back_unit_del(174),unit_del(b,214)]. 0.07/0.46 232 -has_immunity(c1,c2). [ur(128,b,221,a)]. 0.07/0.46 234 -smaller_or_equal(age(c1,c2),eta). [ur(65,b,232,a)]. 0.07/0.46 235 greater(age(c1,c2),eta) | age(c1,c2) = eta. [resolve(234,a,119,a)]. 0.07/0.46 237 age(c1,c2) != eta. [ur(61,a,234,a),flip(a)]. 0.07/0.46 238 greater(age(c1,c2),eta). [back_unit_del(235),unit_del(b,237)]. 0.07/0.46 243 -greater(age(c1,c3),age(c1,c2)). [ur(63,b,238,a,c,130,a)]. 0.07/0.46 244 age(c1,c3) = age(c1,c2). [back_unit_del(122),unit_del(b,243)]. 0.07/0.46 254 $F. [back_rewrite(130),rewrite([244(3)]),unit_del(a,238)]. 0.07/0.46 0.07/0.46 % SZS output end Refutation 0.07/0.46 ============================== end of proof ========================== 0.07/0.46 0.07/0.46 ============================== STATISTICS ============================ 0.07/0.46 0.07/0.46 Given=96. Generated=434. Kept=200. proofs=1. 0.07/0.46 Usable=91. Sos=74. Demods=2. Limbo=10, Disabled=100. Hints=0. 0.07/0.46 Megabytes=0.32. 0.07/0.46 User_CPU=0.02, System_CPU=0.00, Wall_clock=0. 0.07/0.46 0.07/0.46 ============================== end of statistics ===================== 0.07/0.46 0.07/0.46 ============================== end of search ========================= 0.07/0.46 0.07/0.46 THEOREM PROVED 0.07/0.46 % SZS status Theorem 0.07/0.46 0.07/0.46 Exiting with 1 proof. 0.07/0.46 0.07/0.46 Process 39972 exit (max_proofs) Sat Jul 14 04:42:40 2018 0.07/0.46 Prover9 interrupted 0.07/0.47 EOF