0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.33 % Computer : n012.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1200 0.13/0.33 % DateTime : Tue Jul 13 16:19:16 EDT 2021 0.13/0.33 % CPUTime : 0.43/1.00 ============================== Prover9 =============================== 0.43/1.00 Prover9 (32) version 2009-11A, November 2009. 0.43/1.00 Process 15775 was started by sandbox2 on n012.cluster.edu, 0.43/1.00 Tue Jul 13 16:19:16 2021 0.43/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_15602_n012.cluster.edu". 0.43/1.00 ============================== end of head =========================== 0.43/1.00 0.43/1.00 ============================== INPUT ================================= 0.43/1.00 0.43/1.00 % Reading from file /tmp/Prover9_15602_n012.cluster.edu 0.43/1.00 0.43/1.00 set(prolog_style_variables). 0.43/1.00 set(auto2). 0.43/1.00 % set(auto2) -> set(auto). 0.43/1.00 % set(auto) -> set(auto_inference). 0.43/1.00 % set(auto) -> set(auto_setup). 0.43/1.00 % set(auto_setup) -> set(predicate_elim). 0.43/1.00 % set(auto_setup) -> assign(eq_defs, unfold). 0.43/1.00 % set(auto) -> set(auto_limits). 0.43/1.00 % set(auto_limits) -> assign(max_weight, "100.000"). 0.43/1.00 % set(auto_limits) -> assign(sos_limit, 20000). 0.43/1.00 % set(auto) -> set(auto_denials). 0.43/1.00 % set(auto) -> set(auto_process). 0.43/1.00 % set(auto2) -> assign(new_constants, 1). 0.43/1.00 % set(auto2) -> assign(fold_denial_max, 3). 0.43/1.00 % set(auto2) -> assign(max_weight, "200.000"). 0.43/1.00 % set(auto2) -> assign(max_hours, 1). 0.43/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.43/1.00 % set(auto2) -> assign(max_seconds, 0). 0.43/1.00 % set(auto2) -> assign(max_minutes, 5). 0.43/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.43/1.00 % set(auto2) -> set(sort_initial_sos). 0.43/1.00 % set(auto2) -> assign(sos_limit, -1). 0.43/1.00 % set(auto2) -> assign(lrs_ticks, 3000). 0.43/1.00 % set(auto2) -> assign(max_megs, 400). 0.43/1.00 % set(auto2) -> assign(stats, some). 0.43/1.00 % set(auto2) -> clear(echo_input). 0.43/1.00 % set(auto2) -> set(quiet). 0.43/1.00 % set(auto2) -> clear(print_initial_clauses). 0.43/1.00 % set(auto2) -> clear(print_given). 0.43/1.00 assign(lrs_ticks,-1). 0.43/1.00 assign(sos_limit,10000). 0.43/1.00 assign(order,kbo). 0.43/1.00 set(lex_order_vars). 0.43/1.00 clear(print_given). 0.43/1.00 0.43/1.00 % formulas(sos). % not echoed (16 formulas) 0.43/1.00 0.43/1.00 ============================== end of input ========================== 0.43/1.00 0.43/1.00 % From the command line: assign(max_seconds, 1200). 0.43/1.00 0.43/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.43/1.00 0.43/1.00 % Formulas that are not ordinary clauses: 0.43/1.00 1 (all X all Y (greater(X,Y) | X = Y | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 2 (all X all Y (greater_or_equal(X,Y) <-> X = Y | greater(X,Y))) # label(definition_greater_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 3 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 4 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 5 (all X all Y (smaller_or_equal(X,Y) <-> Y = X | smaller(X,Y))) # label(definition_smaller_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 6 (all X all Y all Z (greater(Y,Z) & greater(X,Y) -> greater(X,Z))) # label(meaning_postulate_greater_transitive) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 7 (all X all T0 all T (organization(X) & has_immunity(X,T0) & has_immunity(X,T) -> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T))) # label(assumption_2) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 8 (all X all T0 all T (organization(X) -> (stock_of_knowledge(X,T0) = stock_of_knowledge(X,T) & internal_friction(X,T0) = internal_friction(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]. 0.43/1.00 9 (all X all T0 all T (organization(X) & -has_immunity(X,T) & -has_immunity(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))) & (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))) & (position(X,T0) = position(X,T) & capability(X,T0) = capability(X,T) -> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T)))) # label(assumption_4) # label(axiom) # label(non_clause). [assumption]. 0.43/1.01 10 (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,T) = external_ties(X,T0) -> position(X,T0) = position(X,T)))) # label(assumption_6) # label(axiom) # label(non_clause). [assumption]. 0.43/1.01 11 (all X all T0 all T (organization(X) -> internal_friction(X,T0) = internal_friction(X,T))) # label(assumption_9) # label(axiom) # label(non_clause). [assumption]. 0.43/1.01 12 (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]. 0.43/1.01 13 (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]. 0.43/1.01 14 (all X ((all T (organization(X) & (smaller_or_equal(age(X,T),eta) -> has_immunity(X,T)) & (greater(age(X,T),eta) -> -has_immunity(X,T)))) <-> has_endowment(X))) # label(definition_1) # label(axiom) # label(non_clause). [assumption]. 0.43/1.01 15 (all X all T0 all T (organization(X) & -has_immunity(X,T) & has_immunity(X,T0) -> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))) # label(assumption_3) # label(axiom) # label(non_clause). [assumption]. 0.43/1.01 16 -(all X all T0 all T1 all T2 all T3 (organization(X) & has_endowment(X) & smaller_or_equal(age(X,T0),age(X,T1)) & smaller_or_equal(age(X,T1),eta) & greater(age(X,T3),age(X,T2)) & greater(age(X,T2),eta) -> greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) & greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1)) & hazard_of_mortality(X,T0) = hazard_of_mortality(X,T1))) # label(theorem_2) # label(negated_conjecture) # label(non_clause). [assumption]. 0.43/1.01 0.43/1.01 ============================== end of process non-clausal formulas === 0.43/1.01 0.43/1.01 ============================== PROCESS INITIAL CLAUSES =============== 0.43/1.01 0.43/1.01 ============================== PREDICATE ELIMINATION ================= 0.43/1.01 17 -organization(A) | internal_friction(A,B) = internal_friction(A,C) # label(assumption_9) # label(axiom). [clausify(11)]. 0.43/1.01 18 organization(c1) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.43/1.01 19 organization(A) | -has_endowment(A) # label(definition_1) # label(axiom). [clausify(14)]. 0.43/1.01 Derived: internal_friction(c1,A) = internal_friction(c1,B). [resolve(17,a,18,a)]. 0.43/1.01 Derived: internal_friction(A,B) = internal_friction(A,C) | -has_endowment(A). [resolve(17,a,19,a)]. 0.43/1.01 20 -organization(A) | smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | has_endowment(A) # label(definition_1) # label(axiom). [clausify(14)]. 0.43/1.01 Derived: smaller_or_equal(age(c1,f1(c1)),eta) | has_immunity(c1,f1(c1)) | has_endowment(c1). [resolve(20,a,18,a)]. 0.43/1.01 21 -organization(A) | -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | has_endowment(A) # label(definition_1) # label(axiom). [clausify(14)]. 0.43/1.01 Derived: -has_immunity(c1,f1(c1)) | greater(age(c1,f1(c1)),eta) | has_endowment(c1). [resolve(21,a,18,a)]. 0.43/1.01 22 -organization(A) | -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,C) = hazard_of_mortality(A,B) # label(assumption_2) # label(axiom). [clausify(7)]. 0.43/1.01 Derived: -has_immunity(c1,A) | -has_immunity(c1,B) | hazard_of_mortality(c1,B) = hazard_of_mortality(c1,A). [resolve(22,a,18,a)]. 0.43/1.01 Derived: -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,C) = hazard_of_mortality(A,B) | -has_endowment(A). [resolve(22,a,19,a)]. 0.43/1.01 23 -organization(A) | has_immunity(A,B) | -has_immunity(A,C) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) # label(assumption_3) # label(axiom). [clausify(15)]. 0.43/1.01 Derived: has_immunity(c1,A) | -has_immunity(c1,B) | greater(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(23,a,18,a)]. 0.43/1.01 Derived: has_immunity(A,B) | -has_immunity(A,C) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) | -has_endowment(A). [resolve(23,a,19,a)]. 0.43/1.01 24 -organization(A) | -greater(external_ties(A,B),external_ties(A,C)) | greater(position(A,B),position(A,C)) # label(assumption_6) # label(axiom). [clausify(10)]. 0.43/1.01 Derived: -greater(external_ties(c1,A),external_ties(c1,B)) | greater(position(c1,A),position(c1,B)). [resolve(24,a,18,a)]. 0.43/1.01 Derived: -greater(external_ties(A,B),external_ties(A,C)) | greater(position(A,B),position(A,C)) | -has_endowment(A). [resolve(24,a,19,a)]. 0.43/1.01 25 -organization(A) | external_ties(A,B) != external_ties(A,C) | position(A,B) = position(A,C) # label(assumption_6) # label(axiom). [clausify(10)]. 0.43/1.01 Derived: external_ties(c1,A) != external_ties(c1,B) | position(c1,A) = position(c1,B). [resolve(25,a,18,a)]. 0.43/1.01 Derived: external_ties(A,B) != external_ties(A,C) | position(A,B) = position(A,C) | -has_endowment(A). [resolve(25,a,19,a)]. 0.43/1.01 26 -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(12)]. 0.43/1.01 Derived: -greater(age(c1,A),age(c1,B)) | greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)). [resolve(26,b,18,a)]. 0.43/1.01 Derived: -greater(age(A,B),age(A,C)) | greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) | -has_endowment(A). [resolve(26,b,19,a)]. 0.43/1.01 27 -organization(A) | -greater(age(A,B),age(A,C)) | greater(external_ties(A,B),external_ties(A,C)) # label(assumption_8) # label(axiom). [clausify(13)]. 0.43/1.01 Derived: -greater(age(c1,A),age(c1,B)) | greater(external_ties(c1,A),external_ties(c1,B)). [resolve(27,a,18,a)]. 0.43/1.01 Derived: -greater(age(A,B),age(A,C)) | greater(external_ties(A,B),external_ties(A,C)) | -has_endowment(A). [resolve(27,a,19,a)]. 0.43/1.01 28 -organization(A) | smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | has_endowment(A) # label(definition_1) # label(axiom). [clausify(14)]. 0.43/1.01 Derived: smaller_or_equal(age(c1,f1(c1)),eta) | greater(age(c1,f1(c1)),eta) | has_endowment(c1). [resolve(28,a,18,a)]. 0.43/1.01 29 -organization(A) | stock_of_knowledge(A,B) != stock_of_knowledge(A,C) | internal_friction(A,B) != internal_friction(A,C) | capability(A,B) = capability(A,C) # label(assumption_5) # label(axiom). [clausify(8)]. 0.43/1.01 Derived: stock_of_knowledge(c1,A) != stock_of_knowledge(c1,B) | internal_friction(c1,A) != internal_friction(c1,B) | capability(c1,A) = capability(c1,B). [resolve(29,a,18,a)]. 0.43/1.01 Derived: stock_of_knowledge(A,B) != stock_of_knowledge(A,C) | internal_friction(A,B) != internal_friction(A,C) | capability(A,B) = capability(A,C) | -has_endowment(A). [resolve(29,a,19,a)]. 0.43/1.01 30 -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(8)]. 0.43/1.01 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(30,a,18,a)]. 0.43/1.01 Derived: -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)) | -has_endowment(A). [resolve(30,a,19,a)]. 0.43/1.01 31 -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(8)]. 0.43/1.01 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(31,a,18,a)]. 0.43/1.01 Derived: -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)) | -has_endowment(A). [resolve(31,a,19,a)]. 0.43/1.01 32 -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(9)]. 0.43/1.01 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(32,a,18,a)]. 0.43/1.01 Derived: 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)) | -has_endowment(A). [resolve(32,a,19,a)]. 0.43/1.01 33 -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(9)]. 0.43/1.01 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(33,a,18,a)]. 0.43/1.01 Derived: 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)) | -has_endowment(A). [resolve(33,a,19,a)]. 0.43/1.01 34 -organization(A) | has_immunity(A,B) | has_immunity(A,C) | position(A,B) != position(A,C) | capability(A,B) != capability(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) # label(assumption_4) # label(axiom). [clausify(9)]. 0.43/1.01 Derived: has_immunity(c1,A) | has_immunity(c1,B) | position(c1,A) != position(c1,B) | capability(c1,A) != capability(c1,B) | hazard_of_mortality(c1,A) = hazard_of_mortality(c1,B). [resolve(34,a,18,a)]. 0.43/1.01 Derived: has_immunity(A,B) | has_immunity(A,C) | position(A,B) != position(A,C) | capability(A,B) != capability(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) | -has_endowment(A). [resolve(34,a,19,a)]. 0.43/1.01 35 -greater(age(A,B),eta) | -has_immunity(A,B) | -has_endowment(A) # label(definition_1) # label(axiom). [clausify(14)]. 0.43/1.01 36 has_endowment(c1) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.43/1.01 Derived: -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(35,c,36,a)]. 0.43/1.01 37 -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) | -has_endowment(A) # label(definition_1) # label(axiom). [clausify(14)]. 0.43/1.01 Derived: -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(37,c,36,a)]. 0.43/1.01 38 internal_friction(A,B) = internal_friction(A,C) | -has_endowment(A). [resolve(17,a,19,a)]. 0.43/1.01 Derived: internal_friction(c1,A) = internal_friction(c1,B). [resolve(38,b,36,a)]. 0.43/1.01 39 smaller_or_equal(age(c1,f1(c1)),eta) | has_immunity(c1,f1(c1)) | has_endowment(c1). [resolve(20,a,18,a)]. 0.43/1.01 40 -has_immunity(c1,f1(c1)) | greater(age(c1,f1(c1)),eta) | has_endowment(c1). [resolve(21,a,18,a)]. 0.43/1.01 41 -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,C) = hazard_of_mortality(A,B) | -has_endowment(A). [resolve(22,a,19,a)]. 0.43/1.01 Derived: -has_immunity(c1,A) | -has_immunity(c1,B) | hazard_of_mortality(c1,B) = hazard_of_mortality(c1,A). [resolve(41,d,36,a)]. 0.43/1.01 42 has_immunity(A,B) | -has_immunity(A,C) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) | -has_endowment(A). [resolve(23,a,19,a)]. 0.43/1.01 Derived: has_immunity(c1,A) | -has_immunity(c1,B) | greater(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(42,d,36,a)]. 0.43/1.01 43 -greater(external_ties(A,B),external_ties(A,C)) | greater(position(A,B),position(A,C)) | -has_endowment(A). [resolve(24,a,19,a)]. 0.43/1.01 Derived: -greater(external_ties(c1,A),external_ties(c1,B)) | greater(position(c1,A),position(c1,B)). [resolve(43,c,36,a)]. 0.43/1.01 44 external_ties(A,B) != external_ties(A,C) | position(A,B) = position(A,C) | -has_endowment(A). [resolve(25,a,19,a)]. 0.43/1.01 Derived: external_ties(c1,A) != external_ties(c1,B) | position(c1,A) = position(c1,B). [resolve(44,c,36,a)]. 0.43/1.01 45 -greater(age(A,B),age(A,C)) | greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) | -has_endowment(A). [resolve(26,b,19,a)]. 0.43/1.01 Derived: -greater(age(c1,A),age(c1,B)) | greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)). [resolve(45,c,36,a)]. 0.43/1.01 46 -greater(age(A,B),age(A,C)) | greater(external_ties(A,B),external_ties(A,C)) | -has_endowment(A). [resolve(27,a,19,a)]. 0.43/1.01 Derived: -greater(age(c1,A),age(c1,B)) | greater(external_ties(c1,A),external_ties(c1,B)). [resolve(46,c,36,a)]. 0.43/1.01 47 smaller_or_equal(age(c1,f1(c1)),eta) | greater(age(c1,f1(c1)),eta) | has_endowment(c1). [resolve(28,a,18,a)]. 0.43/1.01 48 stock_of_knowledge(A,B) != stock_of_knowledge(A,C) | internal_friction(A,B) != internal_friction(A,C) | capability(A,B) = capability(A,C) | -has_endowment(A). [resolve(29,a,19,a)]. 0.43/1.01 Derived: stock_of_knowledge(c1,A) != stock_of_knowledge(c1,B) | internal_friction(c1,A) != internal_friction(c1,B) | capability(c1,A) = capability(c1,B). [resolve(48,d,36,a)]. 0.43/1.01 49 -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)) | -has_endowment(A). [resolve(30,a,19,a)]. 0.43/1.01 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(49,d,36,a)]. 0.43/1.01 50 -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)) | -has_endowment(A). [resolve(31,a,19,a)]. 0.43/1.01 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(50,d,36,a)]. 0.43/1.01 51 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)) | -has_endowment(A). [resolve(32,a,19,a)]. 0.43/1.01 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(51,f,36,a)]. 0.43/1.01 52 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)) | -has_endowment(A). [resolve(33,a,19,a)]. 0.43/1.01 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(52,f,36,a)]. 0.43/1.01 53 has_immunity(A,B) | has_immunity(A,C) | position(A,B) != position(A,C) | capability(A,B) != capability(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) | -has_endowment(A). [resolve(34,a,19,a)]. 0.43/1.01 Derived: has_immunity(c1,A) | has_immunity(c1,B) | position(c1,A) != position(c1,B) | capability(c1,A) != capability(c1,B) | hazard_of_mortality(c1,A) = hazard_of_mortality(c1,B). [resolve(53,f,36,a)]. 0.43/1.01 54 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(3)]. 0.43/1.01 55 greater(A,B) | B = A | smaller(A,B) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(1)]. 0.43/1.01 56 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(3)]. 0.43/1.01 Derived: greater(A,B) | greater(B,A) | A = B. [resolve(54,b,55,c)]. 0.43/1.01 57 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 0.43/1.01 Derived: smaller_or_equal(A,B) | greater(A,B) | B = A. [resolve(57,b,55,c)]. 0.43/1.01 Derived: smaller_or_equal(A,B) | -greater(B,A). [resolve(57,b,56,b)]. 0.43/1.01 58 -smaller_or_equal(A,B) | B = A | smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 0.43/1.01 Derived: -smaller_or_equal(A,B) | B = A | greater(B,A). [resolve(58,c,54,b)]. 0.43/1.01 59 -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(30,a,18,a)]. 0.74/1.03 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(59,c,54,b)]. 0.74/1.03 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(59,c,57,b)]. 0.74/1.03 60 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(32,a,18,a)]. 0.74/1.03 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(60,e,54,b)]. 0.74/1.03 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(60,e,57,b)]. 0.74/1.03 61 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(33,a,18,a)]. 0.74/1.03 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(61,e,54,b)]. 0.74/1.03 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(61,e,57,b)]. 0.74/1.03 62 -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(49,d,36,a)]. 0.74/1.03 63 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(51,f,36,a)]. 0.74/1.03 64 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(52,f,36,a)]. 0.74/1.03 0.74/1.03 ============================== end predicate elimination ============= 0.74/1.03 0.74/1.03 Auto_denials: (non-Horn, no changes). 0.74/1.03 0.74/1.03 Term ordering decisions: 0.74/1.03 Function symbol KB weights: eta=1. c1=1. c2=1. c3=1. c4=1. c5=1. capability=1. hazard_of_mortality=1. position=1. internal_friction=1. stock_of_knowledge=1. age=1. external_ties=1. 0.74/1.03 0.74/1.03 ============================== end of process initial clauses ======== 0.74/1.03 0.74/1.03 ============================== CLAUSES FOR SEARCH ==================== 0.74/1.03 0.74/1.03 ============================== end of clauses for search ============= 0.74/1.03 0.74/1.03 ============================== SEARCH ================================ 0.74/1.03 0.74/1.03 % Starting search at 0.02 seconds. 0.74/1.03 0.74/1.03 ============================== PROOF ================================= 0.74/1.03 % SZS status Theorem 0.74/1.03 % SZS output start Refutation 0.74/1.03 0.74/1.03 % Proof 1 at 0.04 (+ 0.00) seconds. 0.74/1.03 % Length of proof is 85. 0.74/1.03 % Level of proof is 17. 0.74/1.03 % Maximum clause weight is 27.000. 0.74/1.03 % Given clauses 96. 0.74/1.03 0.74/1.03 1 (all X all Y (greater(X,Y) | X = Y | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 2 (all X all Y (greater_or_equal(X,Y) <-> X = Y | greater(X,Y))) # label(definition_greater_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 3 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 5 (all X all Y (smaller_or_equal(X,Y) <-> Y = X | smaller(X,Y))) # label(definition_smaller_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 6 (all X all Y all Z (greater(Y,Z) & greater(X,Y) -> greater(X,Z))) # label(meaning_postulate_greater_transitive) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 7 (all X all T0 all T (organization(X) & has_immunity(X,T0) & has_immunity(X,T) -> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T))) # label(assumption_2) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 8 (all X all T0 all T (organization(X) -> (stock_of_knowledge(X,T0) = stock_of_knowledge(X,T) & internal_friction(X,T0) = internal_friction(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]. 0.74/1.03 9 (all X all T0 all T (organization(X) & -has_immunity(X,T) & -has_immunity(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))) & (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))) & (position(X,T0) = position(X,T) & capability(X,T0) = capability(X,T) -> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T)))) # label(assumption_4) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 10 (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,T) = external_ties(X,T0) -> position(X,T0) = position(X,T)))) # label(assumption_6) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 11 (all X all T0 all T (organization(X) -> internal_friction(X,T0) = internal_friction(X,T))) # label(assumption_9) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 12 (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]. 0.74/1.03 13 (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]. 0.74/1.03 14 (all X ((all T (organization(X) & (smaller_or_equal(age(X,T),eta) -> has_immunity(X,T)) & (greater(age(X,T),eta) -> -has_immunity(X,T)))) <-> has_endowment(X))) # label(definition_1) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 15 (all X all T0 all T (organization(X) & -has_immunity(X,T) & has_immunity(X,T0) -> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))) # label(assumption_3) # label(axiom) # label(non_clause). [assumption]. 0.74/1.03 16 -(all X all T0 all T1 all T2 all T3 (organization(X) & has_endowment(X) & smaller_or_equal(age(X,T0),age(X,T1)) & smaller_or_equal(age(X,T1),eta) & greater(age(X,T3),age(X,T2)) & greater(age(X,T2),eta) -> greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) & greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1)) & hazard_of_mortality(X,T0) = hazard_of_mortality(X,T1))) # label(theorem_2) # label(negated_conjecture) # label(non_clause). [assumption]. 0.74/1.03 17 -organization(A) | internal_friction(A,B) = internal_friction(A,C) # label(assumption_9) # label(axiom). [clausify(11)]. 0.74/1.03 18 organization(c1) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.74/1.03 22 -organization(A) | -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,C) = hazard_of_mortality(A,B) # label(assumption_2) # label(axiom). [clausify(7)]. 0.74/1.03 23 -organization(A) | has_immunity(A,B) | -has_immunity(A,C) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) # label(assumption_3) # label(axiom). [clausify(15)]. 0.74/1.03 24 -organization(A) | -greater(external_ties(A,B),external_ties(A,C)) | greater(position(A,B),position(A,C)) # label(assumption_6) # label(axiom). [clausify(10)]. 0.74/1.03 26 -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(12)]. 0.74/1.03 27 -organization(A) | -greater(age(A,B),age(A,C)) | greater(external_ties(A,B),external_ties(A,C)) # label(assumption_8) # label(axiom). [clausify(13)]. 0.74/1.03 31 -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(8)]. 0.74/1.03 32 -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(9)]. 0.74/1.03 35 -greater(age(A,B),eta) | -has_immunity(A,B) | -has_endowment(A) # label(definition_1) # label(axiom). [clausify(14)]. 0.74/1.03 36 has_endowment(c1) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.74/1.03 37 -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) | -has_endowment(A) # label(definition_1) # label(axiom). [clausify(14)]. 0.74/1.03 54 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(3)]. 0.74/1.03 55 greater(A,B) | B = A | smaller(A,B) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(1)]. 0.74/1.03 56 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(3)]. 0.74/1.03 57 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 0.74/1.03 58 -smaller_or_equal(A,B) | B = A | smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 0.74/1.03 60 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(32,a,18,a)]. 0.74/1.03 65 smaller_or_equal(age(c1,c3),eta) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.74/1.03 66 greater(age(c1,c4),eta) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.74/1.03 67 smaller_or_equal(age(c1,c2),age(c1,c3)) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.74/1.03 68 greater(age(c1,c5),age(c1,c4)) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.74/1.03 70 -greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c5)) | -greater(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)) | hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2) # label(theorem_2) # label(negated_conjecture). [clausify(16)]. 0.74/1.03 72 greater_or_equal(A,B) | -greater(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 0.74/1.03 73 smaller_or_equal(A,B) | B != A # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 0.74/1.03 75 -greater(A,B) | -greater(C,A) | greater(C,B) # label(meaning_postulate_greater_transitive) # label(axiom). [clausify(6)]. 0.74/1.03 76 internal_friction(c1,A) = internal_friction(c1,B). [resolve(17,a,18,a)]. 0.74/1.03 77 -has_immunity(c1,A) | -has_immunity(c1,B) | hazard_of_mortality(c1,B) = hazard_of_mortality(c1,A). [resolve(22,a,18,a)]. 0.74/1.03 78 has_immunity(c1,A) | -has_immunity(c1,B) | greater(hazard_of_mortality(c1,A),hazard_of_mortality(c1,B)). [resolve(23,a,18,a)]. 0.74/1.03 79 -greater(external_ties(c1,A),external_ties(c1,B)) | greater(position(c1,A),position(c1,B)). [resolve(24,a,18,a)]. 0.74/1.03 81 -greater(age(c1,A),age(c1,B)) | greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)). [resolve(26,b,18,a)]. 0.74/1.03 82 -greater(age(c1,A),age(c1,B)) | greater(external_ties(c1,A),external_ties(c1,B)). [resolve(27,a,18,a)]. 0.74/1.03 85 -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(31,a,18,a)]. 0.74/1.03 87 -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(35,c,36,a)]. 0.74/1.03 88 -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(37,c,36,a)]. 0.74/1.03 90 greater(A,B) | greater(B,A) | A = B. [resolve(54,b,55,c)]. 0.74/1.03 92 smaller_or_equal(A,B) | -greater(B,A). [resolve(57,b,56,b)]. 0.74/1.03 93 -smaller_or_equal(A,B) | B = A | greater(B,A). [resolve(58,c,54,b)]. 0.74/1.03 96 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(60,e,54,b)]. 0.74/1.03 101 internal_friction(c1,A) = c_0. [new_symbol(76)]. 0.74/1.03 102 -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(85),rewrite([101(2),101(3)])]. 0.74/1.03 108 smaller_or_equal(A,A). [xx_res(73,b)]. 0.74/1.03 109 -greater(stock_of_knowledge(c1,A),stock_of_knowledge(c1,B)) | greater(capability(c1,A),capability(c1,B)). [back_unit_del(102),unit_del(a,108)]. 0.74/1.03 111 -greater(A,age(c1,c4)) | greater(A,eta). [resolve(75,a,66,a)]. 0.74/1.03 114 greater(stock_of_knowledge(c1,c5),stock_of_knowledge(c1,c4)). [resolve(81,a,68,a)]. 0.74/1.03 115 greater(external_ties(c1,c5),external_ties(c1,c4)). [resolve(82,a,68,a)]. 0.74/1.03 116 -has_immunity(c1,c4). [ur(87,a,66,a)]. 0.74/1.03 117 has_immunity(c1,c3). [resolve(88,a,65,a)]. 0.74/1.03 132 smaller_or_equal(A,B) | greater(A,B) | A = B. [resolve(92,b,90,b)]. 0.74/1.03 135 age(c1,c3) = age(c1,c2) | greater(age(c1,c3),age(c1,c2)). [resolve(93,a,67,a)]. 0.74/1.03 141 -greater(age(c1,c3),eta). [resolve(117,a,87,b)]. 0.74/1.03 142 has_immunity(c1,A) | greater(hazard_of_mortality(c1,A),hazard_of_mortality(c1,c3)). [resolve(117,a,78,b)]. 0.74/1.03 154 greater(position(c1,c5),position(c1,c4)). [resolve(115,a,79,a)]. 0.74/1.03 159 greater(capability(c1,c5),capability(c1,c4)). [resolve(109,a,114,a)]. 0.74/1.03 166 greater_or_equal(position(c1,c5),position(c1,c4)). [resolve(154,a,72,b)]. 0.74/1.03 175 has_immunity(c1,c5) | greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c5)). [resolve(166,a,96,d),unit_del(b,116),unit_del(c,159)]. 0.74/1.03 177 greater(age(c1,c5),eta). [resolve(111,a,68,a)]. 0.74/1.03 182 -has_immunity(c1,c5). [ur(87,a,177,a)]. 0.74/1.03 183 greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c5)). [back_unit_del(175),unit_del(a,182)]. 0.74/1.03 186 -greater(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)) | hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2). [back_unit_del(70),unit_del(a,183)]. 0.74/1.03 229 greater(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)). [resolve(142,a,182,a)]. 0.74/1.03 235 hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2). [back_unit_del(186),unit_del(a,229)]. 0.74/1.03 260 -has_immunity(c1,c2). [ur(77,b,117,a,c,235,a)]. 0.74/1.03 262 -smaller_or_equal(age(c1,c2),eta). [ur(88,b,260,a)]. 0.74/1.03 263 greater(age(c1,c2),eta) | age(c1,c2) = eta. [resolve(262,a,132,a)]. 0.74/1.03 265 age(c1,c2) != eta. [ur(73,a,262,a),flip(a)]. 0.74/1.03 266 greater(age(c1,c2),eta). [back_unit_del(263),unit_del(b,265)]. 0.74/1.03 271 -greater(age(c1,c3),age(c1,c2)). [ur(75,a,266,a,c,141,a)]. 0.74/1.03 272 age(c1,c3) = age(c1,c2). [back_unit_del(135),unit_del(b,271)]. 0.74/1.03 284 $F. [back_rewrite(141),rewrite([272(3)]),unit_del(a,266)]. 0.74/1.03 0.74/1.03 % SZS output end Refutation 0.74/1.03 ============================== end of proof ========================== 0.74/1.03 0.74/1.03 ============================== STATISTICS ============================ 0.74/1.03 0.74/1.03 Given=96. Generated=458. Kept=217. proofs=1. 0.74/1.03 Usable=91. Sos=85. Demods=2. Limbo=12, Disabled=120. Hints=0. 0.74/1.03 Megabytes=0.36. 0.74/1.03 User_CPU=0.04, System_CPU=0.00, Wall_clock=0. 0.74/1.03 0.74/1.03 ============================== end of statistics ===================== 0.74/1.03 0.74/1.03 ============================== end of search ========================= 0.74/1.03 0.74/1.03 THEOREM PROVED 0.74/1.03 % SZS status Theorem 0.74/1.03 0.74/1.03 Exiting with 1 proof. 0.74/1.03 0.74/1.03 Process 15775 exit (max_proofs) Tue Jul 13 16:19:16 2021 0.74/1.03 Prover9 interrupted 0.74/1.03 EOF