0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n023.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 180 0.12/0.33 % DateTime : Thu Aug 29 09:33:37 EDT 2019 0.12/0.34 % CPUTime : 0.75/1.03 ============================== Prover9 =============================== 0.75/1.03 Prover9 (32) version 2009-11A, November 2009. 0.75/1.03 Process 21938 was started by sandbox2 on n023.cluster.edu, 0.75/1.03 Thu Aug 29 09:33:37 2019 0.75/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 180 -f /tmp/Prover9_21784_n023.cluster.edu". 0.75/1.03 ============================== end of head =========================== 0.75/1.03 0.75/1.03 ============================== INPUT ================================= 0.75/1.03 0.75/1.03 % Reading from file /tmp/Prover9_21784_n023.cluster.edu 0.75/1.03 0.75/1.03 set(prolog_style_variables). 0.75/1.03 set(auto2). 0.75/1.03 % set(auto2) -> set(auto). 0.75/1.03 % set(auto) -> set(auto_inference). 0.75/1.03 % set(auto) -> set(auto_setup). 0.75/1.03 % set(auto_setup) -> set(predicate_elim). 0.75/1.03 % set(auto_setup) -> assign(eq_defs, unfold). 0.75/1.03 % set(auto) -> set(auto_limits). 0.75/1.03 % set(auto_limits) -> assign(max_weight, "100.000"). 0.75/1.03 % set(auto_limits) -> assign(sos_limit, 20000). 0.75/1.03 % set(auto) -> set(auto_denials). 0.75/1.03 % set(auto) -> set(auto_process). 0.75/1.03 % set(auto2) -> assign(new_constants, 1). 0.75/1.03 % set(auto2) -> assign(fold_denial_max, 3). 0.75/1.03 % set(auto2) -> assign(max_weight, "200.000"). 0.75/1.03 % set(auto2) -> assign(max_hours, 1). 0.75/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.75/1.03 % set(auto2) -> assign(max_seconds, 0). 0.75/1.03 % set(auto2) -> assign(max_minutes, 5). 0.75/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.75/1.03 % set(auto2) -> set(sort_initial_sos). 0.75/1.03 % set(auto2) -> assign(sos_limit, -1). 0.75/1.03 % set(auto2) -> assign(lrs_ticks, 3000). 0.75/1.03 % set(auto2) -> assign(max_megs, 400). 0.75/1.03 % set(auto2) -> assign(stats, some). 0.75/1.03 % set(auto2) -> clear(echo_input). 0.75/1.03 % set(auto2) -> set(quiet). 0.75/1.03 % set(auto2) -> clear(print_initial_clauses). 0.75/1.03 % set(auto2) -> clear(print_given). 0.75/1.03 assign(lrs_ticks,-1). 0.75/1.03 assign(sos_limit,10000). 0.75/1.03 assign(order,kbo). 0.75/1.03 set(lex_order_vars). 0.75/1.03 clear(print_given). 0.75/1.03 0.75/1.03 % formulas(sos). % not echoed (17 formulas) 0.75/1.03 0.75/1.03 ============================== end of input ========================== 0.75/1.03 0.75/1.03 % From the command line: assign(max_seconds, 180). 0.75/1.03 0.75/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.75/1.03 0.75/1.03 % Formulas that are not ordinary clauses: 0.75/1.03 1 (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]. 0.75/1.03 2 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.75/1.03 3 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.75/1.03 4 (all X all Y (greater(X,Y) | X = Y <-> greater_or_equal(X,Y))) # label(definition_greater_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.75/1.03 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]. 0.75/1.03 6 (all X all Y (X = Y | greater(X,Y) | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.75/1.03 7 (all X all T0 all T (organization(X) & -(is_aligned(X,T0) <-> is_aligned(X,T)) <-> dissimilar(X,T0,T))) # label(definition_2) # label(axiom) # label(non_clause). [assumption]. 0.75/1.03 8 (all X all T (organization(X) -> (-has_immunity(X,T) -> (is_aligned(X,T) & -positional_advantage(X,T) -> mod2 = hazard_of_mortality(X,T)) & (-positional_advantage(X,T) & -is_aligned(X,T) -> hazard_of_mortality(X,T) = high) & (positional_advantage(X,T) & -is_aligned(X,T) -> hazard_of_mortality(X,T) = mod1) & (is_aligned(X,T) & positional_advantage(X,T) -> low = hazard_of_mortality(X,T))) & (has_immunity(X,T) -> hazard_of_mortality(X,T) = very_low))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 0.75/1.03 9 (all X all T (organization(X) & age(X,T) = zero -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.75/1.03 10 (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]. 0.75/1.03 11 (all X all T0 all T (organization(X) & age(X,T0) = zero -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.75/1.03 12 -(all X all T0 all T1 all T2 (organization(X) & smaller_or_equal(age(X,T1),eta) & greater(age(X,T2),eta) & greater(age(X,T2),tau) & greater(age(X,T2),sigma) & smaller_or_equal(age(X,T1),tau) & smaller_or_equal(age(X,T1),sigma) & greater(eta,zero) & greater(tau,zero) & greater(sigma,zero) & zero = age(X,T0) & has_endowment(X) & (fragile_position(X) | robust_position(X)) -> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T1) & greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)))) # label(theorem_11) # label(negated_conjecture) # label(non_clause). [assumption]. 0.75/1.03 0.75/1.03 ============================== end of process non-clausal formulas === 0.75/1.03 0.75/1.03 ============================== PROCESS INITIAL CLAUSES =============== 0.75/1.03 0.75/1.03 ============================== PREDICATE ELIMINATION ================= 0.75/1.03 13 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17) # label(axiom). [clausify(8)]. 0.75/1.03 14 organization(c1) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.75/1.03 15 -has_endowment(A) | organization(A) # label(definition_1) # label(axiom). [clausify(10)]. 0.75/1.03 16 organization(A) | -dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(7)]. 0.75/1.03 Derived: -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(13,a,14,a)]. 0.75/1.03 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -has_endowment(A). [resolve(13,a,15,b)]. 0.75/1.03 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -dissimilar(A,C,D). [resolve(13,a,16,a)]. 0.75/1.03 17 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(9)]. 0.75/1.03 Derived: age(c1,A) != zero | is_aligned(c1,A). [resolve(17,a,14,a)]. 0.75/1.03 Derived: age(A,B) != zero | is_aligned(A,B) | -has_endowment(A). [resolve(17,a,15,b)]. 0.75/1.03 Derived: age(A,B) != zero | is_aligned(A,B) | -dissimilar(A,C,D). [resolve(17,a,16,a)]. 0.75/1.03 18 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(7)]. 0.75/1.03 Derived: -is_aligned(c1,A) | is_aligned(c1,B) | dissimilar(c1,A,B). [resolve(18,a,14,a)]. 0.75/1.03 Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) | -has_endowment(A). [resolve(18,a,15,b)]. 0.75/1.03 Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) | -dissimilar(A,D,E). [resolve(18,a,16,a)]. 0.75/1.03 19 -organization(A) | is_aligned(A,B) | -is_aligned(A,C) | dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(7)]. 0.75/1.03 Derived: is_aligned(c1,A) | -is_aligned(c1,B) | dissimilar(c1,A,B). [resolve(19,a,14,a)]. 0.75/1.03 Derived: is_aligned(A,B) | -is_aligned(A,C) | dissimilar(A,B,C) | -has_endowment(A). [resolve(19,a,15,b)]. 0.75/1.03 Derived: is_aligned(A,B) | -is_aligned(A,C) | dissimilar(A,B,C) | -dissimilar(A,D,E). [resolve(19,a,16,a)]. 0.75/1.03 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(10)]. 0.75/1.03 Derived: has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | has_immunity(c1,f1(c1)). [resolve(20,d,14,a)]. 0.75/1.03 Derived: has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C). [resolve(20,d,16,a)]. 0.75/1.03 21 has_endowment(A) | -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -organization(A) # label(definition_1) # label(axiom). [clausify(10)]. 0.75/1.03 Derived: has_endowment(c1) | -has_immunity(c1,f1(c1)) | greater(age(c1,f1(c1)),eta). [resolve(21,d,14,a)]. 0.75/1.03 Derived: has_endowment(A) | -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C). [resolve(21,d,16,a)]. 0.75/1.03 22 -organization(A) | has_immunity(A,B) | -is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = mod2 # label(assumption_17) # label(axiom). [clausify(8)]. 0.75/1.03 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(22,a,14,a)]. 0.75/1.03 Derived: has_immunity(A,B) | -is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = mod2 | -has_endowment(A). [resolve(22,a,15,b)]. 0.75/1.04 Derived: has_immunity(A,B) | -is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = mod2 | -dissimilar(A,C,D). [resolve(22,a,16,a)]. 0.75/1.04 23 -organization(A) | has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high # label(assumption_17) # label(axiom). [clausify(8)]. 0.75/1.04 Derived: has_immunity(c1,A) | positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(23,a,14,a)]. 0.75/1.04 Derived: has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high | -has_endowment(A). [resolve(23,a,15,b)]. 0.75/1.04 Derived: has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high | -dissimilar(A,C,D). [resolve(23,a,16,a)]. 0.75/1.04 24 -organization(A) | has_immunity(A,B) | -positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = mod1 # label(assumption_17) # label(axiom). [clausify(8)]. 0.75/1.04 Derived: has_immunity(c1,A) | -positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(24,a,14,a)]. 0.75/1.04 Derived: has_immunity(A,B) | -positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = mod1 | -has_endowment(A). [resolve(24,a,15,b)]. 0.75/1.04 Derived: has_immunity(A,B) | -positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = mod1 | -dissimilar(A,C,D). [resolve(24,a,16,a)]. 0.75/1.04 25 -organization(A) | has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low # label(assumption_17) # label(axiom). [clausify(8)]. 0.75/1.04 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(25,a,14,a)]. 0.75/1.04 Derived: has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low | -has_endowment(A). [resolve(25,a,15,b)]. 0.75/1.04 Derived: has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low | -dissimilar(A,C,D). [resolve(25,a,16,a)]. 0.75/1.04 26 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(10)]. 0.75/1.04 Derived: has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | greater(age(c1,f1(c1)),eta). [resolve(26,d,14,a)]. 0.75/1.04 Derived: has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C). [resolve(26,d,16,a)]. 0.75/1.04 27 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.75/1.04 Derived: age(c1,A) != zero | -dissimilar(c1,A,B) | greater(age(c1,B),sigma). [resolve(27,a,14,a)]. 0.75/1.04 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -has_endowment(A). [resolve(27,a,15,b)]. 0.75/1.04 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(27,a,16,a)]. 0.75/1.04 28 -organization(A) | age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.75/1.04 Derived: age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(28,a,14,a)]. 0.75/1.04 Derived: age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -has_endowment(A). [resolve(28,a,15,b)]. 0.75/1.04 Derived: age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(28,a,16,a)]. 0.75/1.04 29 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(10)]. 0.75/1.04 30 has_endowment(c1) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.75/1.04 Derived: -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(29,a,30,a)]. 0.75/1.04 31 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(10)]. 0.75/1.04 Derived: -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(31,a,30,a)]. 0.75/1.04 32 -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -has_endowment(A). [resolve(13,a,15,b)]. 0.75/1.04 Derived: -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(32,c,30,a)]. 0.75/1.04 33 age(A,B) != zero | is_aligned(A,B) | -has_endowment(A). [resolve(17,a,15,b)]. 0.75/1.04 Derived: age(c1,A) != zero | is_aligned(c1,A). [resolve(33,c,30,a)]. 0.75/1.04 34 -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) | -has_endowment(A). [resolve(18,a,15,b)]. 0.75/1.04 Derived: -is_aligned(c1,A) | is_aligned(c1,B) | dissimilar(c1,A,B). [resolve(34,d,30,a)]. 0.75/1.04 35 is_aligned(A,B) | -is_aligned(A,C) | dissimilar(A,B,C) | -has_endowment(A). [resolve(19,a,15,b)]. 0.75/1.04 Derived: is_aligned(c1,A) | -is_aligned(c1,B) | dissimilar(c1,A,B). [resolve(35,d,30,a)]. 0.75/1.04 36 has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | has_immunity(c1,f1(c1)). [resolve(20,d,14,a)]. 0.75/1.04 37 has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C). [resolve(20,d,16,a)]. 0.75/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C) | -greater(age(A,D),eta) | -has_immunity(A,D). [resolve(37,a,29,a)]. 0.75/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C) | -smaller_or_equal(age(A,D),eta) | has_immunity(A,D). [resolve(37,a,31,a)]. 0.75/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C) | -has_immunity(A,D) | hazard_of_mortality(A,D) = very_low. [resolve(37,a,32,c)]. 0.75/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C) | age(A,D) != zero | is_aligned(A,D). [resolve(37,a,33,c)]. 0.75/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | dissimilar(A,D,E). [resolve(37,a,34,d)]. 0.75/1.04 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C) | is_aligned(A,D) | -is_aligned(A,E) | dissimilar(A,D,E). [resolve(37,a,35,d)]. 0.75/1.04 38 has_endowment(c1) | -has_immunity(c1,f1(c1)) | greater(age(c1,f1(c1)),eta). [resolve(21,d,14,a)]. 0.75/1.04 39 has_endowment(A) | -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C). [resolve(21,d,16,a)]. 0.75/1.04 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | -greater(age(A,D),eta) | -has_immunity(A,D). [resolve(39,a,29,a)]. 0.75/1.04 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | -smaller_or_equal(age(A,D),eta) | has_immunity(A,D). [resolve(39,a,31,a)]. 0.75/1.04 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | -has_immunity(A,D) | hazard_of_mortality(A,D) = very_low. [resolve(39,a,32,c)]. 0.75/1.04 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | age(A,D) != zero | is_aligned(A,D). [resolve(39,a,33,c)]. 0.75/1.04 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | dissimilar(A,D,E). [resolve(39,a,34,d)]. 0.75/1.04 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | is_aligned(A,D) | -is_aligned(A,E) | dissimilar(A,D,E). [resolve(39,a,35,d)]. 0.75/1.04 40 has_immunity(A,B) | -is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = mod2 | -has_endowment(A). [resolve(22,a,15,b)]. 0.75/1.04 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(40,e,30,a)]. 0.75/1.04 41 has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high | -has_endowment(A). [resolve(23,a,15,b)]. 0.75/1.04 Derived: has_immunity(c1,A) | positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(41,e,30,a)]. 0.75/1.04 42 has_immunity(A,B) | -positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = mod1 | -has_endowment(A). [resolve(24,a,15,b)]. 0.75/1.04 Derived: has_immunity(c1,A) | -positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(42,e,30,a)]. 0.75/1.04 43 has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low | -has_endowment(A). [resolve(25,a,15,b)]. 0.75/1.04 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(43,e,30,a)]. 0.75/1.05 44 has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | greater(age(c1,f1(c1)),eta). [resolve(26,d,14,a)]. 0.75/1.05 45 has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C). [resolve(26,d,16,a)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | -greater(age(A,D),eta) | -has_immunity(A,D). [resolve(45,a,29,a)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | -smaller_or_equal(age(A,D),eta) | has_immunity(A,D). [resolve(45,a,31,a)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | -has_immunity(A,D) | hazard_of_mortality(A,D) = very_low. [resolve(45,a,32,c)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | age(A,D) != zero | is_aligned(A,D). [resolve(45,a,33,c)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | dissimilar(A,D,E). [resolve(45,a,34,d)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | is_aligned(A,D) | -is_aligned(A,E) | dissimilar(A,D,E). [resolve(45,a,35,d)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | has_immunity(A,D) | -is_aligned(A,D) | positional_advantage(A,D) | hazard_of_mortality(A,D) = mod2. [resolve(45,a,40,e)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | has_immunity(A,D) | positional_advantage(A,D) | is_aligned(A,D) | hazard_of_mortality(A,D) = high. [resolve(45,a,41,e)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | has_immunity(A,D) | -positional_advantage(A,D) | is_aligned(A,D) | hazard_of_mortality(A,D) = mod1. [resolve(45,a,42,e)]. 0.75/1.05 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | has_immunity(A,D) | -is_aligned(A,D) | -positional_advantage(A,D) | hazard_of_mortality(A,D) = low. [resolve(45,a,43,e)]. 0.75/1.05 46 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -has_endowment(A). [resolve(27,a,15,b)]. 0.75/1.05 47 age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -has_endowment(A). [resolve(28,a,15,b)]. 0.75/1.05 Derived: age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(47,d,30,a)]. 0.75/1.05 48 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.75/1.05 49 A = B | greater(B,A) | smaller(B,A) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(6)]. 0.75/1.05 50 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.75/1.05 Derived: greater(A,B) | A = B | greater(B,A). [resolve(48,b,49,c)]. 0.75/1.05 51 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 0.75/1.05 Derived: smaller_or_equal(A,B) | B = A | greater(A,B). [resolve(51,b,49,c)]. 0.75/1.05 Derived: smaller_or_equal(A,B) | -greater(B,A). [resolve(51,b,50,b)]. 0.75/1.05 52 -smaller_or_equal(A,B) | B = A | smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 0.75/1.05 Derived: -smaller_or_equal(A,B) | B = A | greater(B,A). [resolve(52,c,48,b)]. 0.75/1.05 53 greater(A,B) | B = A | -greater_or_equal(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 0.75/1.05 54 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 0.75/1.05 55 A != B | greater_or_equal(B,A) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 0.75/1.05 0.75/1.05 ============================== end predicate elimination ============= 0.75/1.05 0.75/1.05 Auto_denials: (non-Horn, no changes). 0.75/1.05 0.75/1.05 Term ordering decisions: 0.75/1.05 0.75/1.05 % Assigning unary symbol f1 kb_weight 0 and highest precedence (23). 0.75/1.05 Function symbol KB weights: eta=1. zero=1. sigma=1. low=1. very_low=1. high=1. mod1=1. mod2=1. tau=1. c1=1. c2=1. c3=1. c4=1. age=1. hazard_of_mortality=1. f1=0. 0.75/1.05 0.75/1.05 ============================== end of process initial clauses ======== 0.75/1.05 0.75/1.05 ============================== CLAUSES FOR SEARCH ==================== 0.87/1.19 0.87/1.19 ============================== end of clauses for search ============= 0.87/1.19 0.87/1.19 ============================== SEARCH ================================ 0.87/1.19 0.87/1.19 % Starting search at 0.02 seconds. 0.87/1.19 0.87/1.19 ============================== PROOF ================================= 0.87/1.19 % SZS status Theorem 0.87/1.19 % SZS output start Refutation 0.87/1.19 0.87/1.19 % Proof 1 at 0.16 (+ 0.01) seconds. 0.87/1.19 % Length of proof is 81. 0.87/1.19 % Level of proof is 10. 0.87/1.19 % Maximum clause weight is 16.000. 0.87/1.19 % Given clauses 279. 0.87/1.19 0.87/1.19 1 (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]. 0.87/1.19 2 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.87/1.19 3 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.87/1.19 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]. 0.87/1.19 6 (all X all Y (X = Y | greater(X,Y) | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.87/1.19 7 (all X all T0 all T (organization(X) & -(is_aligned(X,T0) <-> is_aligned(X,T)) <-> dissimilar(X,T0,T))) # label(definition_2) # label(axiom) # label(non_clause). [assumption]. 0.87/1.19 8 (all X all T (organization(X) -> (-has_immunity(X,T) -> (is_aligned(X,T) & -positional_advantage(X,T) -> mod2 = hazard_of_mortality(X,T)) & (-positional_advantage(X,T) & -is_aligned(X,T) -> hazard_of_mortality(X,T) = high) & (positional_advantage(X,T) & -is_aligned(X,T) -> hazard_of_mortality(X,T) = mod1) & (is_aligned(X,T) & positional_advantage(X,T) -> low = hazard_of_mortality(X,T))) & (has_immunity(X,T) -> hazard_of_mortality(X,T) = very_low))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 0.87/1.19 9 (all X all T (organization(X) & age(X,T) = zero -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.87/1.19 10 (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]. 0.87/1.19 11 (all X all T0 all T (organization(X) & age(X,T0) = zero -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.87/1.19 12 -(all X all T0 all T1 all T2 (organization(X) & smaller_or_equal(age(X,T1),eta) & greater(age(X,T2),eta) & greater(age(X,T2),tau) & greater(age(X,T2),sigma) & smaller_or_equal(age(X,T1),tau) & smaller_or_equal(age(X,T1),sigma) & greater(eta,zero) & greater(tau,zero) & greater(sigma,zero) & zero = age(X,T0) & has_endowment(X) & (fragile_position(X) | robust_position(X)) -> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T1) & greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)))) # label(theorem_11) # label(negated_conjecture) # label(non_clause). [assumption]. 0.87/1.19 13 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17) # label(axiom). [clausify(8)]. 0.87/1.19 14 organization(c1) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.87/1.19 17 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(9)]. 0.87/1.19 23 -organization(A) | has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high # label(assumption_17) # label(axiom). [clausify(8)]. 0.87/1.19 24 -organization(A) | has_immunity(A,B) | -positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = mod1 # label(assumption_17) # label(axiom). [clausify(8)]. 0.87/1.19 28 -organization(A) | age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.87/1.19 29 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(10)]. 0.87/1.19 30 has_endowment(c1) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.87/1.19 31 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(10)]. 0.87/1.19 48 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.87/1.19 49 A = B | greater(B,A) | smaller(B,A) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(6)]. 0.87/1.19 50 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.87/1.19 51 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 0.87/1.19 56 greater(high,mod1) # label(assumption_18a) # label(axiom). [assumption]. 0.87/1.19 57 greater(high,mod2) # label(assumption_18d) # label(axiom). [assumption]. 0.87/1.19 58 greater(mod1,low) # label(assumption_18b) # label(axiom). [assumption]. 0.87/1.19 59 greater(low,very_low) # label(assumption_18c) # label(axiom). [assumption]. 0.87/1.19 60 greater(mod2,low) # label(assumption_18e) # label(axiom). [assumption]. 0.87/1.19 61 greater(eta,zero) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.87/1.19 64 smaller_or_equal(age(c1,c3),eta) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.87/1.19 65 greater(age(c1,c4),eta) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.87/1.19 67 greater(age(c1,c4),sigma) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.87/1.19 70 age(c1,c2) = zero # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.87/1.19 71 -greater(A,B) | -greater(B,A) # label(meaning_postulate_greater_strict) # label(axiom). [clausify(3)]. 0.87/1.19 72 -is_aligned(A,B) | -is_aligned(A,C) | -dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(7)]. 0.87/1.19 73 hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2) | -greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c3)) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.87/1.19 75 -greater(A,B) | -greater(C,A) | greater(C,B) # label(meaning_postulate_greater_transitive) # label(axiom). [clausify(1)]. 0.87/1.19 77 -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(13,a,14,a)]. 0.87/1.19 79 age(c1,A) != zero | is_aligned(c1,A). [resolve(17,a,14,a)]. 0.87/1.19 87 has_immunity(c1,A) | positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(23,a,14,a)]. 0.87/1.19 89 has_immunity(c1,A) | -positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(24,a,14,a)]. 0.87/1.19 95 age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(28,a,14,a)]. 0.87/1.19 97 -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(29,a,30,a)]. 0.87/1.19 98 -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(31,a,30,a)]. 0.87/1.19 105 greater(A,B) | A = B | greater(B,A). [resolve(48,b,49,c)]. 0.87/1.19 107 smaller_or_equal(A,B) | -greater(B,A). [resolve(51,b,50,b)]. 0.87/1.19 109 -greater(A,A). [factor(71,a,b)]. 0.87/1.19 123 -greater(mod1,high). [resolve(71,a,56,a)]. 0.87/1.19 132 -greater(A,mod2) | greater(A,low). [resolve(75,a,60,a)]. 0.87/1.19 133 -greater(A,low) | greater(A,very_low). [resolve(75,a,59,a)]. 0.87/1.19 148 is_aligned(c1,c2). [resolve(79,a,70,a)]. 0.87/1.19 149 has_immunity(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod1 | hazard_of_mortality(c1,A) = high. [resolve(89,b,87,b),merge(d),merge(e)]. 0.87/1.19 150 age(c1,A) != zero | dissimilar(c1,A,c4). [resolve(95,c,67,a)]. 0.87/1.19 151 -has_immunity(c1,c4). [ur(97,a,65,a)]. 0.87/1.19 152 has_immunity(c1,c3). [resolve(98,a,64,a)]. 0.87/1.19 153 -smaller_or_equal(zero,eta) | has_immunity(c1,c2). [para(70(a,1),98(a,1))]. 0.87/1.19 167 smaller_or_equal(zero,eta). [resolve(107,b,61,a)]. 0.87/1.19 173 has_immunity(c1,c2). [back_unit_del(153),unit_del(a,167)]. 0.87/1.19 184 hazard_of_mortality(c1,c3) = very_low. [resolve(152,a,77,a)]. 0.87/1.19 186 hazard_of_mortality(c1,c2) != very_low | -greater(hazard_of_mortality(c1,c4),very_low). [back_rewrite(73),rewrite([184(3),184(11)]),flip(a)]. 0.87/1.19 193 hazard_of_mortality(c1,c2) = very_low. [resolve(173,a,77,a)]. 0.87/1.19 194 -greater(hazard_of_mortality(c1,c4),very_low). [back_rewrite(186),rewrite([193(3)]),xx(a)]. 0.87/1.19 202 -greater(hazard_of_mortality(c1,c4),low). [ur(75,a,59,a,c,194,a)]. 0.87/1.19 220 greater(high,low). [resolve(132,a,57,a)]. 0.87/1.19 222 -greater(low,A) | greater(high,A). [resolve(220,a,75,b)]. 0.87/1.19 224 greater(high,very_low). [resolve(133,a,220,a)]. 0.87/1.19 227 greater(mod1,very_low). [resolve(133,a,58,a)]. 0.87/1.19 235 -greater(very_low,A) | greater(mod1,A). [resolve(227,a,75,b)]. 0.87/1.19 250 greater(high,A) | greater(A,low) | low = A. [resolve(222,a,105,c),flip(c)]. 0.87/1.19 257 greater(mod1,A) | greater(A,very_low) | very_low = A. [resolve(235,a,105,c),flip(c)]. 0.87/1.19 259 is_aligned(c1,c4) | hazard_of_mortality(c1,c4) = mod1 | hazard_of_mortality(c1,c4) = high. [resolve(149,a,151,a)]. 0.87/1.19 265 dissimilar(c1,c2,c4). [resolve(150,a,70,a)]. 0.87/1.19 266 -is_aligned(c1,c4). [resolve(265,a,72,c),unit_del(a,148)]. 0.87/1.19 267 hazard_of_mortality(c1,c4) = mod1 | hazard_of_mortality(c1,c4) = high. [back_unit_del(259),unit_del(a,266)]. 0.87/1.19 689 greater(high,hazard_of_mortality(c1,c4)) | hazard_of_mortality(c1,c4) = low. [resolve(250,b,202,a),flip(b)]. 0.87/1.19 818 greater(mod1,hazard_of_mortality(c1,c4)) | hazard_of_mortality(c1,c4) = very_low. [resolve(257,b,194,a),flip(b)]. 0.87/1.19 1392 hazard_of_mortality(c1,c4) = high. [para(267(a,1),194(a,1)),unit_del(b,227)]. 0.87/1.19 1413 high = very_low. [back_rewrite(818),rewrite([1392(4),1392(6)]),unit_del(a,123)]. 0.87/1.19 1414 very_low = low. [back_rewrite(689),rewrite([1413(1),1392(4),1413(2),1392(6),1413(4)]),unit_del(a,109)]. 0.87/1.19 1441 $F. [back_rewrite(224),rewrite([1413(1),1414(1),1414(2)]),unit_del(a,109)]. 0.87/1.19 0.87/1.19 % SZS output end Refutation 0.87/1.19 ============================== end of proof ========================== 0.87/1.19 0.87/1.19 ============================== STATISTICS ============================ 0.87/1.19 0.87/1.19 Given=279. Generated=4490. Kept=1385. proofs=1. 0.87/1.19 Usable=227. Sos=608. Demods=8. Limbo=28, Disabled=644. Hints=0. 0.87/1.19 Megabytes=1.42. 0.87/1.19 User_CPU=0.16, System_CPU=0.01, Wall_clock=1. 0.87/1.19 0.87/1.19 ============================== end of statistics ===================== 0.87/1.19 0.87/1.19 ============================== end of search ========================= 0.87/1.19 0.87/1.19 THEOREM PROVED 0.87/1.19 % SZS status Theorem 0.87/1.19 0.87/1.19 Exiting with 1 proof. 0.87/1.19 0.87/1.19 Process 21938 exit (max_proofs) Thu Aug 29 09:33:38 2019 0.87/1.19 Prover9 interrupted 0.87/1.19 EOF