0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.34 % Computer : n001.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Mon Jul 3 04:13:14 EDT 2023 0.12/0.34 % CPUTime : 0.45/1.04 ============================== Prover9 =============================== 0.45/1.04 Prover9 (32) version 2009-11A, November 2009. 0.45/1.04 Process 9488 was started by sandbox on n001.cluster.edu, 0.45/1.04 Mon Jul 3 04:13:15 2023 0.45/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_9303_n001.cluster.edu". 0.45/1.04 ============================== end of head =========================== 0.45/1.04 0.45/1.04 ============================== INPUT ================================= 0.45/1.04 0.45/1.04 % Reading from file /tmp/Prover9_9303_n001.cluster.edu 0.45/1.04 0.45/1.04 set(prolog_style_variables). 0.45/1.04 set(auto2). 0.45/1.04 % set(auto2) -> set(auto). 0.45/1.04 % set(auto) -> set(auto_inference). 0.45/1.04 % set(auto) -> set(auto_setup). 0.45/1.04 % set(auto_setup) -> set(predicate_elim). 0.45/1.04 % set(auto_setup) -> assign(eq_defs, unfold). 0.45/1.04 % set(auto) -> set(auto_limits). 0.45/1.04 % set(auto_limits) -> assign(max_weight, "100.000"). 0.45/1.04 % set(auto_limits) -> assign(sos_limit, 20000). 0.45/1.04 % set(auto) -> set(auto_denials). 0.45/1.04 % set(auto) -> set(auto_process). 0.45/1.04 % set(auto2) -> assign(new_constants, 1). 0.45/1.04 % set(auto2) -> assign(fold_denial_max, 3). 0.45/1.04 % set(auto2) -> assign(max_weight, "200.000"). 0.45/1.04 % set(auto2) -> assign(max_hours, 1). 0.45/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.45/1.04 % set(auto2) -> assign(max_seconds, 0). 0.45/1.04 % set(auto2) -> assign(max_minutes, 5). 0.45/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.45/1.04 % set(auto2) -> set(sort_initial_sos). 0.45/1.04 % set(auto2) -> assign(sos_limit, -1). 0.45/1.04 % set(auto2) -> assign(lrs_ticks, 3000). 0.45/1.04 % set(auto2) -> assign(max_megs, 400). 0.45/1.04 % set(auto2) -> assign(stats, some). 0.45/1.04 % set(auto2) -> clear(echo_input). 0.45/1.04 % set(auto2) -> set(quiet). 0.45/1.04 % set(auto2) -> clear(print_initial_clauses). 0.45/1.04 % set(auto2) -> clear(print_given). 0.45/1.04 assign(lrs_ticks,-1). 0.45/1.04 assign(sos_limit,10000). 0.45/1.04 assign(order,kbo). 0.45/1.04 set(lex_order_vars). 0.45/1.04 clear(print_given). 0.45/1.04 0.45/1.04 % formulas(sos). % not echoed (15 formulas) 0.45/1.04 0.45/1.04 ============================== end of input ========================== 0.45/1.04 0.45/1.04 % From the command line: assign(max_seconds, 1440). 0.45/1.04 0.45/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.45/1.04 0.45/1.04 % Formulas that are not ordinary clauses: 0.45/1.04 1 (all X all Y (smaller_or_equal(X,Y) <-> X = Y | smaller(X,Y))) # label(definition_smaller_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 2 (all X all Y (greater_or_equal(X,Y) <-> greater(X,Y) | Y = X)) # label(definition_greater_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 3 (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]. 0.45/1.04 4 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 5 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 6 (all X all Y (greater(X,Y) | X = Y | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 7 (all X all T0 all T (organization(X) & has_immunity(X,T0) & -has_immunity(X,T) -> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))) # label(assumption_3) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 8 (all X all T0 all T (-has_immunity(X,T) & greater(capability(X,T),capability(X,T0)) & -has_immunity(X,T0) & organization(X) -> greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T)))) # label(assumption_16) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 9 (all X (has_endowment(X) <-> (all T ((smaller_or_equal(age(X,T),eta) -> has_immunity(X,T)) & (greater(age(X,T),eta) -> -has_immunity(X,T)) & organization(X))))) # label(definition_1) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 10 (all X all T0 all T (-is_aligned(X,T) & is_aligned(X,T0) & organization(X) -> greater(capability(X,T0),capability(X,T)))) # label(assumption_14) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 11 (all X all T0 all T (organization(X) & zero = age(X,T0) -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 12 (all X all T0 all T (dissimilar(X,T0,T) <-> -(is_aligned(X,T0) <-> is_aligned(X,T)) & organization(X))) # label(definition_2) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 13 (all X all T0 all T (organization(X) & has_immunity(X,T) & has_immunity(X,T0) -> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0))) # label(assumption_2) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 14 (all X all T (organization(X) & zero = age(X,T) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.45/1.04 15 -(all X all T0 all T1 all T2 all T3 (has_endowment(X) & smaller_or_equal(age(X,T1),eta) & smaller_or_equal(age(X,T2),sigma) & greater(age(X,T3),sigma) & greater(eta,zero) & greater(sigma,eta) & greater(age(X,T2),eta) & zero = age(X,T0) & organization(X) -> greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) & hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) & greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)))) # label(lemma_8) # label(negated_conjecture) # label(non_clause). [assumption]. 0.45/1.04 0.45/1.04 ============================== end of process non-clausal formulas === 0.45/1.04 0.45/1.04 ============================== PROCESS INITIAL CLAUSES =============== 0.45/1.04 0.45/1.04 ============================== PREDICATE ELIMINATION ================= 0.45/1.04 16 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(9)]. 0.45/1.04 17 has_endowment(c1) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.45/1.04 Derived: -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(16,a,17,a)]. 0.45/1.04 18 -has_endowment(A) | organization(A) # label(definition_1) # label(axiom). [clausify(9)]. 0.45/1.04 Derived: organization(c1). [resolve(18,a,17,a)]. 0.45/1.04 19 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(9)]. 0.45/1.04 Derived: -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(19,a,17,a)]. 0.45/1.04 20 has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -organization(A) # label(definition_1) # label(axiom). [clausify(9)]. 0.45/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(20,a,16,a)]. 0.45/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(20,a,19,a)]. 0.45/1.04 21 has_endowment(A) | -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -organization(A) # label(definition_1) # label(axiom). [clausify(9)]. 0.45/1.04 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(21,a,16,a)]. 0.45/1.04 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(21,a,19,a)]. 0.45/1.04 22 has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -organization(A) # label(definition_1) # label(axiom). [clausify(9)]. 0.45/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(22,a,16,a)]. 0.45/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(22,a,19,a)]. 0.45/1.04 23 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(14)]. 0.45/1.04 24 organization(c1) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.45/1.04 25 -dissimilar(A,B,C) | organization(A) # label(definition_2) # label(axiom). [clausify(12)]. 0.45/1.04 Derived: age(c1,A) != zero | is_aligned(c1,A). [resolve(23,a,24,a)]. 0.45/1.04 Derived: age(A,B) != zero | is_aligned(A,B) | -dissimilar(A,C,D). [resolve(23,a,25,b)]. 0.45/1.04 26 dissimilar(A,B,C) | -is_aligned(A,B) | is_aligned(A,C) | -organization(A) # label(definition_2) # label(axiom). [clausify(12)]. 0.45/1.04 Derived: dissimilar(c1,A,B) | -is_aligned(c1,A) | is_aligned(c1,B). [resolve(26,d,24,a)]. 0.45/1.04 Derived: dissimilar(A,B,C) | -is_aligned(A,B) | is_aligned(A,C) | -dissimilar(A,D,E). [resolve(26,d,25,b)]. 0.45/1.04 27 dissimilar(A,B,C) | is_aligned(A,B) | -is_aligned(A,C) | -organization(A) # label(definition_2) # label(axiom). [clausify(12)]. 0.45/1.04 Derived: dissimilar(c1,A,B) | is_aligned(c1,A) | -is_aligned(c1,B). [resolve(27,d,24,a)]. 0.45/1.04 Derived: dissimilar(A,B,C) | is_aligned(A,B) | -is_aligned(A,C) | -dissimilar(A,D,E). [resolve(27,d,25,b)]. 0.45/1.04 28 -organization(A) | -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) # label(assumption_3) # label(axiom). [clausify(7)]. 0.45/1.04 Derived: -has_immunity(c1,A) | has_immunity(c1,B) | greater(hazard_of_mortality(c1,B),hazard_of_mortality(c1,A)). [resolve(28,a,24,a)]. 0.45/1.04 Derived: -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) | -dissimilar(A,D,E). [resolve(28,a,25,b)]. 0.45/1.04 29 is_aligned(A,B) | -is_aligned(A,C) | -organization(A) | greater(capability(A,C),capability(A,B)) # label(assumption_14) # label(axiom). [clausify(10)]. 0.45/1.04 Derived: is_aligned(c1,A) | -is_aligned(c1,B) | greater(capability(c1,B),capability(c1,A)). [resolve(29,c,24,a)]. 0.45/1.05 Derived: is_aligned(A,B) | -is_aligned(A,C) | greater(capability(A,C),capability(A,B)) | -dissimilar(A,D,E). [resolve(29,c,25,b)]. 0.45/1.05 30 -organization(A) | -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) # label(assumption_2) # label(axiom). [clausify(13)]. 0.45/1.05 Derived: -has_immunity(c1,A) | -has_immunity(c1,B) | hazard_of_mortality(c1,A) = hazard_of_mortality(c1,B). [resolve(30,a,24,a)]. 0.45/1.05 Derived: -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) | -dissimilar(A,D,E). [resolve(30,a,25,b)]. 0.45/1.05 31 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.45/1.05 Derived: age(c1,A) != zero | -dissimilar(c1,A,B) | greater(age(c1,B),sigma). [resolve(31,a,24,a)]. 0.45/1.05 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(31,a,25,b)]. 0.45/1.05 32 -organization(A) | age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.45/1.05 Derived: age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(32,a,24,a)]. 0.45/1.05 Derived: age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(32,a,25,b)]. 0.45/1.05 33 has_immunity(A,B) | -greater(capability(A,B),capability(A,C)) | has_immunity(A,C) | -organization(A) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) # label(assumption_16) # label(axiom). [clausify(8)]. 0.45/1.05 Derived: has_immunity(c1,A) | -greater(capability(c1,A),capability(c1,B)) | has_immunity(c1,B) | greater(hazard_of_mortality(c1,B),hazard_of_mortality(c1,A)). [resolve(33,d,24,a)]. 0.45/1.05 Derived: has_immunity(A,B) | -greater(capability(A,B),capability(A,C)) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) | -dissimilar(A,D,E). [resolve(33,d,25,b)]. 0.45/1.05 34 organization(c1). [resolve(18,a,17,a)]. 0.45/1.05 35 smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(20,a,16,a)]. 0.45/1.05 Derived: smaller_or_equal(age(c1,f1(c1)),eta) | has_immunity(c1,f1(c1)) | -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(35,c,24,a)]. 0.45/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -greater(age(A,B),eta) | -has_immunity(A,B) | -dissimilar(A,C,D). [resolve(35,c,25,b)]. 0.45/1.05 36 smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(20,a,19,a)]. 0.45/1.05 Derived: smaller_or_equal(age(c1,f1(c1)),eta) | has_immunity(c1,f1(c1)) | -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(36,c,24,a)]. 0.45/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) | -dissimilar(A,C,D). [resolve(36,c,25,b)]. 0.45/1.05 37 -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(21,a,16,a)]. 0.83/1.09 Derived: -has_immunity(c1,f1(c1)) | greater(age(c1,f1(c1)),eta) | -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(37,c,24,a)]. 0.83/1.09 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -greater(age(A,B),eta) | -has_immunity(A,B) | -dissimilar(A,C,D). [resolve(37,c,25,b)]. 0.83/1.09 38 -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(21,a,19,a)]. 0.83/1.09 Derived: -has_immunity(c1,f1(c1)) | greater(age(c1,f1(c1)),eta) | -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(38,c,24,a)]. 0.83/1.09 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) | -dissimilar(A,C,D). [resolve(38,c,25,b)]. 0.83/1.09 39 smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -organization(A) | -greater(age(A,B),eta) | -has_immunity(A,B). [resolve(22,a,16,a)]. 0.83/1.09 Derived: smaller_or_equal(age(c1,f1(c1)),eta) | greater(age(c1,f1(c1)),eta) | -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(39,c,24,a)]. 0.83/1.09 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -greater(age(A,B),eta) | -has_immunity(A,B) | -dissimilar(A,C,D). [resolve(39,c,25,b)]. 0.83/1.09 40 smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -organization(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B). [resolve(22,a,19,a)]. 0.83/1.09 Derived: smaller_or_equal(age(c1,f1(c1)),eta) | greater(age(c1,f1(c1)),eta) | -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(40,c,24,a)]. 0.83/1.09 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) | -dissimilar(A,C,D). [resolve(40,c,25,b)]. 0.83/1.09 41 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.83/1.09 42 greater(A,B) | B = A | smaller(A,B) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(6)]. 0.83/1.09 Derived: smaller_or_equal(A,B) | greater(A,B) | B = A. [resolve(41,b,42,c)]. 0.83/1.09 43 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(5)]. 0.83/1.09 Derived: -greater(A,B) | smaller_or_equal(B,A). [resolve(43,b,41,b)]. 0.83/1.09 44 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(5)]. 0.83/1.09 Derived: greater(A,B) | greater(B,A) | A = B. [resolve(44,b,42,c)]. 0.83/1.09 45 -smaller_or_equal(A,B) | B = A | smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.83/1.09 Derived: -smaller_or_equal(A,B) | B = A | greater(B,A). [resolve(45,c,44,b)]. 0.83/1.09 46 -greater_or_equal(A,B) | greater(A,B) | B = A # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 0.83/1.09 47 greater_or_equal(A,B) | -greater(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 0.83/1.09 48 greater_or_equal(A,B) | B != A # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 0.83/1.09 0.83/1.09 ============================== end predicate elimination ============= 0.83/1.09 0.83/1.09 Auto_denials: (non-Horn, no changes). 0.83/1.09 0.83/1.09 Term ordering decisions: 0.83/1.09 0.83/1.09 % Assigning unary symbol f1 kb_weight 0 and highest precedence (18). 0.83/1.09 Function symbol KB weights: eta=1. zero=1. sigma=1. c1=1. c2=1. c3=1. c4=1. c5=1. age=1. hazard_of_mortality=1. capability=1. f1=0. 0.83/1.09 0.83/1.09 ============================== end of process initial clauses ======== 0.83/1.09 0.83/1.09 ============================== CLAUSES FOR SEARCH ==================== 0.83/1.09 0.83/1.09 ============================== end of clauses for search ============= 0.83/1.09 0.83/1.09 ============================== SEARCH ================================ 0.83/1.09 0.83/1.09 % Starting search at 0.03 seconds. 0.83/1.09 0.83/1.09 ============================== PROOF ================================= 0.83/1.09 % SZS status Theorem 0.83/1.09 % SZS output start Refutation 0.83/1.09 0.83/1.09 % Proof 1 at 0.06 (+ 0.01) seconds. 0.83/1.09 % Length of proof is 82. 0.83/1.09 % Level of proof is 12. 0.83/1.09 % Maximum clause weight is 24.000. 0.83/1.09 % Given clauses 167. 0.83/1.09 0.83/1.09 1 (all X all Y (smaller_or_equal(X,Y) <-> X = Y | smaller(X,Y))) # label(definition_smaller_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 3 (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]. 0.83/1.09 4 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 5 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 7 (all X all T0 all T (organization(X) & has_immunity(X,T0) & -has_immunity(X,T) -> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))) # label(assumption_3) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 8 (all X all T0 all T (-has_immunity(X,T) & greater(capability(X,T),capability(X,T0)) & -has_immunity(X,T0) & organization(X) -> greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T)))) # label(assumption_16) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 9 (all X (has_endowment(X) <-> (all T ((smaller_or_equal(age(X,T),eta) -> has_immunity(X,T)) & (greater(age(X,T),eta) -> -has_immunity(X,T)) & organization(X))))) # label(definition_1) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 10 (all X all T0 all T (-is_aligned(X,T) & is_aligned(X,T0) & organization(X) -> greater(capability(X,T0),capability(X,T)))) # label(assumption_14) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 11 (all X all T0 all T (organization(X) & zero = age(X,T0) -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 12 (all X all T0 all T (dissimilar(X,T0,T) <-> -(is_aligned(X,T0) <-> is_aligned(X,T)) & organization(X))) # label(definition_2) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 13 (all X all T0 all T (organization(X) & has_immunity(X,T) & has_immunity(X,T0) -> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0))) # label(assumption_2) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 14 (all X all T (organization(X) & zero = age(X,T) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.83/1.09 15 -(all X all T0 all T1 all T2 all T3 (has_endowment(X) & smaller_or_equal(age(X,T1),eta) & smaller_or_equal(age(X,T2),sigma) & greater(age(X,T3),sigma) & greater(eta,zero) & greater(sigma,eta) & greater(age(X,T2),eta) & zero = age(X,T0) & organization(X) -> greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) & hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) & greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)))) # label(lemma_8) # label(negated_conjecture) # label(non_clause). [assumption]. 0.83/1.09 16 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(9)]. 0.83/1.09 17 has_endowment(c1) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 19 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(9)]. 0.83/1.09 23 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(14)]. 0.83/1.09 24 organization(c1) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 25 -dissimilar(A,B,C) | organization(A) # label(definition_2) # label(axiom). [clausify(12)]. 0.83/1.09 26 dissimilar(A,B,C) | -is_aligned(A,B) | is_aligned(A,C) | -organization(A) # label(definition_2) # label(axiom). [clausify(12)]. 0.83/1.09 28 -organization(A) | -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) # label(assumption_3) # label(axiom). [clausify(7)]. 0.83/1.09 29 is_aligned(A,B) | -is_aligned(A,C) | -organization(A) | greater(capability(A,C),capability(A,B)) # label(assumption_14) # label(axiom). [clausify(10)]. 0.83/1.09 30 -organization(A) | -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) # label(assumption_2) # label(axiom). [clausify(13)]. 0.83/1.09 31 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.83/1.09 32 -organization(A) | age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.83/1.09 33 has_immunity(A,B) | -greater(capability(A,B),capability(A,C)) | has_immunity(A,C) | -organization(A) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) # label(assumption_16) # label(axiom). [clausify(8)]. 0.83/1.09 41 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.83/1.09 43 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(5)]. 0.83/1.09 44 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(5)]. 0.83/1.09 45 -smaller_or_equal(A,B) | B = A | smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.83/1.09 49 greater(eta,zero) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 50 greater(sigma,eta) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 51 smaller_or_equal(age(c1,c3),eta) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 52 smaller_or_equal(age(c1,c4),sigma) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 53 greater(age(c1,c5),sigma) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 54 greater(age(c1,c4),eta) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 55 age(c1,c2) = zero # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 56 -greater(A,B) | -greater(B,A) # label(meaning_postulate_greater_strict) # label(axiom). [clausify(4)]. 0.83/1.09 57 -dissimilar(A,B,C) | -is_aligned(A,B) | -is_aligned(A,C) # label(definition_2) # label(axiom). [clausify(12)]. 0.83/1.09 58 -greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c3)) | hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2) | -greater(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c4)) # label(lemma_8) # label(negated_conjecture). [clausify(15)]. 0.83/1.09 60 -greater(A,B) | -greater(B,C) | greater(A,C) # label(meaning_postulate_greater_transitive) # label(axiom). [clausify(3)]. 0.83/1.09 62 -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(16,a,17,a)]. 0.83/1.09 63 -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(19,a,17,a)]. 0.83/1.09 64 age(c1,A) != zero | is_aligned(c1,A). [resolve(23,a,24,a)]. 0.83/1.09 66 dissimilar(c1,A,B) | -is_aligned(c1,A) | is_aligned(c1,B). [resolve(26,d,24,a)]. 0.83/1.09 70 -has_immunity(c1,A) | has_immunity(c1,B) | greater(hazard_of_mortality(c1,B),hazard_of_mortality(c1,A)). [resolve(28,a,24,a)]. 0.83/1.09 73 is_aligned(A,B) | -is_aligned(A,C) | greater(capability(A,C),capability(A,B)) | -dissimilar(A,D,E). [resolve(29,c,25,b)]. 0.83/1.09 74 -has_immunity(c1,A) | -has_immunity(c1,B) | hazard_of_mortality(c1,A) = hazard_of_mortality(c1,B). [resolve(30,a,24,a)]. 0.83/1.09 77 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(31,a,25,b)]. 0.83/1.09 78 age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(32,a,24,a)]. 0.83/1.09 81 has_immunity(A,B) | -greater(capability(A,B),capability(A,C)) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) | -dissimilar(A,D,E). [resolve(33,d,25,b)]. 0.83/1.09 89 -greater(A,B) | smaller_or_equal(B,A). [resolve(43,b,41,b)]. 0.83/1.09 91 -smaller_or_equal(A,B) | B = A | greater(B,A). [resolve(45,c,44,b)]. 0.83/1.09 92 -greater(A,A). [factor(56,a,b)]. 0.83/1.09 95 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma). [factor(77,b,d)]. 0.83/1.09 103 -greater(sigma,A) | greater(age(c1,c5),A). [resolve(60,a,53,a)]. 0.83/1.09 110 -has_immunity(c1,c4). [ur(62,a,54,a)]. 0.83/1.09 111 has_immunity(c1,c3). [resolve(63,a,51,a)]. 0.83/1.09 112 -smaller_or_equal(zero,eta) | has_immunity(c1,c2). [para(55(a,1),63(a,1))]. 0.83/1.09 113 is_aligned(c1,c2). [resolve(64,a,55,a)]. 0.83/1.09 114 age(c1,A) != zero | dissimilar(c1,A,c5). [resolve(78,c,53,a)]. 0.83/1.09 120 smaller_or_equal(zero,eta). [resolve(89,a,49,a)]. 0.83/1.09 121 has_immunity(c1,c2). [back_unit_del(112),unit_del(a,120)]. 0.83/1.09 131 age(c1,c4) = sigma | greater(sigma,age(c1,c4)). [resolve(91,a,52,a),flip(a)]. 0.83/1.09 139 -has_immunity(c1,A) | hazard_of_mortality(c1,c3) = hazard_of_mortality(c1,A). [resolve(111,a,74,b),flip(b)]. 0.83/1.09 144 dissimilar(c1,c2,A) | is_aligned(c1,A). [resolve(113,a,66,b)]. 0.83/1.09 150 has_immunity(c1,A) | greater(hazard_of_mortality(c1,A),hazard_of_mortality(c1,c2)). [resolve(121,a,70,a)]. 0.83/1.09 169 greater(age(c1,c5),eta). [resolve(103,a,50,a)]. 0.83/1.09 178 -has_immunity(c1,c5). [ur(62,a,169,a)]. 0.83/1.10 188 is_aligned(c1,A) | greater(age(c1,A),sigma). [resolve(144,a,95,b),rewrite([55(5)]),xx(b)]. 0.83/1.10 197 dissimilar(c1,c2,c5). [resolve(114,a,55,a)]. 0.83/1.10 198 -is_aligned(c1,c5). [resolve(197,a,57,a),unit_del(a,113)]. 0.83/1.10 321 age(c1,c4) = sigma | -greater(age(c1,c4),sigma). [resolve(131,b,56,b)]. 0.83/1.10 328 hazard_of_mortality(c1,c3) = hazard_of_mortality(c1,c2). [resolve(139,a,121,a)]. 0.83/1.10 332 -greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c2)) | -greater(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c4)). [back_rewrite(58),rewrite([328(6),328(10)]),xx(b)]. 0.83/1.10 360 greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c2)). [resolve(150,a,110,a)]. 0.83/1.10 365 -greater(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c4)). [back_unit_del(332),unit_del(a,360)]. 0.83/1.10 385 -greater(capability(c1,c4),capability(c1,c5)). [ur(81,a,110,a,c,178,a,d,365,a,e,197,a)]. 0.83/1.10 387 -is_aligned(c1,c4). [ur(73,a,198,a,c,385,a,d,197,a)]. 0.83/1.10 413 greater(age(c1,c4),sigma). [resolve(387,a,188,a)]. 0.83/1.10 419 age(c1,c4) = sigma. [back_unit_del(321),unit_del(b,413)]. 0.83/1.10 421 $F. [back_rewrite(413),rewrite([419(3)]),unit_del(a,92)]. 0.83/1.10 0.83/1.10 % SZS output end Refutation 0.83/1.10 ============================== end of proof ========================== 0.83/1.10 0.83/1.10 ============================== STATISTICS ============================ 0.83/1.10 0.83/1.10 Given=167. Generated=1300. Kept=372. proofs=1. 0.83/1.10 Usable=160. Sos=172. Demods=3. Limbo=2, Disabled=120. Hints=0. 0.83/1.10 Megabytes=0.42. 0.83/1.10 User_CPU=0.07, System_CPU=0.01, Wall_clock=0. 0.83/1.10 0.83/1.10 ============================== end of statistics ===================== 0.83/1.10 0.83/1.10 ============================== end of search ========================= 0.83/1.10 0.83/1.10 THEOREM PROVED 0.83/1.10 % SZS status Theorem 0.83/1.10 0.83/1.10 Exiting with 1 proof. 0.83/1.10 0.83/1.10 Process 9488 exit (max_proofs) Mon Jul 3 04:13:15 2023 0.83/1.10 Prover9 interrupted 0.83/1.10 EOF