0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : tptp2X_and_run_prover9 %d %s 0.11/0.32 % Computer : n007.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 02:19:11 EDT 2022 0.11/0.32 % CPUTime : 0.39/1.06 ============================== Prover9 =============================== 0.39/1.06 Prover9 (32) version 2009-11A, November 2009. 0.39/1.06 Process 12381 was started by sandbox2 on n007.cluster.edu, 0.39/1.06 Tue Aug 9 02:19:12 2022 0.39/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_12227_n007.cluster.edu". 0.39/1.06 ============================== end of head =========================== 0.39/1.06 0.39/1.06 ============================== INPUT ================================= 0.39/1.06 0.39/1.06 % Reading from file /tmp/Prover9_12227_n007.cluster.edu 0.39/1.06 0.39/1.06 set(prolog_style_variables). 0.39/1.06 set(auto2). 0.39/1.06 % set(auto2) -> set(auto). 0.39/1.06 % set(auto) -> set(auto_inference). 0.39/1.06 % set(auto) -> set(auto_setup). 0.39/1.06 % set(auto_setup) -> set(predicate_elim). 0.39/1.06 % set(auto_setup) -> assign(eq_defs, unfold). 0.39/1.06 % set(auto) -> set(auto_limits). 0.39/1.06 % set(auto_limits) -> assign(max_weight, "100.000"). 0.39/1.06 % set(auto_limits) -> assign(sos_limit, 20000). 0.39/1.06 % set(auto) -> set(auto_denials). 0.39/1.06 % set(auto) -> set(auto_process). 0.39/1.06 % set(auto2) -> assign(new_constants, 1). 0.39/1.06 % set(auto2) -> assign(fold_denial_max, 3). 0.39/1.06 % set(auto2) -> assign(max_weight, "200.000"). 0.39/1.06 % set(auto2) -> assign(max_hours, 1). 0.39/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.39/1.06 % set(auto2) -> assign(max_seconds, 0). 0.39/1.06 % set(auto2) -> assign(max_minutes, 5). 0.39/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.39/1.06 % set(auto2) -> set(sort_initial_sos). 0.39/1.06 % set(auto2) -> assign(sos_limit, -1). 0.39/1.06 % set(auto2) -> assign(lrs_ticks, 3000). 0.39/1.06 % set(auto2) -> assign(max_megs, 400). 0.39/1.06 % set(auto2) -> assign(stats, some). 0.39/1.06 % set(auto2) -> clear(echo_input). 0.39/1.06 % set(auto2) -> set(quiet). 0.39/1.06 % set(auto2) -> clear(print_initial_clauses). 0.39/1.06 % set(auto2) -> clear(print_given). 0.39/1.06 assign(lrs_ticks,-1). 0.39/1.06 assign(sos_limit,10000). 0.39/1.06 assign(order,kbo). 0.39/1.06 set(lex_order_vars). 0.39/1.06 clear(print_given). 0.39/1.06 0.39/1.06 % formulas(sos). % not echoed (17 formulas) 0.39/1.06 0.39/1.06 ============================== end of input ========================== 0.39/1.06 0.39/1.06 % From the command line: assign(max_seconds, 960). 0.39/1.06 0.39/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.39/1.06 0.39/1.06 % Formulas that are not ordinary clauses: 0.39/1.06 1 (all X all Y (smaller(X,Y) | X = Y <-> smaller_or_equal(X,Y))) # label(definition_smaller_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.39/1.06 2 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.39/1.06 3 (all X all Y -(greater(Y,X) & greater(X,Y))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.39/1.06 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]. 0.39/1.06 5 (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]. 0.39/1.06 6 (all X all Y (X = Y | greater(X,Y) | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.39/1.06 7 (all X (has_endowment(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)))))) # label(definition_1) # label(axiom) # label(non_clause). [assumption]. 0.39/1.06 8 (all X all T (organization(X) & age(X,T) = zero -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.39/1.06 9 (all X all T (organization(X) -> (-has_immunity(X,T) -> (-is_aligned(X,T) & positional_advantage(X,T) -> mod1 = hazard_of_mortality(X,T)) & (-positional_advantage(X,T) & is_aligned(X,T) -> hazard_of_mortality(X,T) = mod2) & (-is_aligned(X,T) & -positional_advantage(X,T) -> high = hazard_of_mortality(X,T)) & (is_aligned(X,T) & positional_advantage(X,T) -> hazard_of_mortality(X,T) = low)) & (has_immunity(X,T) -> very_low = hazard_of_mortality(X,T)))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 0.39/1.06 10 (all X all T0 all T (dissimilar(X,T0,T) <-> -(is_aligned(X,T) <-> is_aligned(X,T0)) & organization(X))) # label(definition_2) # label(axiom) # label(non_clause). [assumption]. 0.39/1.06 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]. 0.39/1.06 12 -(all X all T0 all T1 all T2 (organization(X) & has_endowment(X) & zero = age(X,T0) & greater(sigma,zero) & greater(age(X,T2),eta) & greater(age(X,T2),tau) & greater(age(X,T2),sigma) & smaller_or_equal(age(X,T1),eta) & smaller_or_equal(age(X,T1),tau) & smaller_or_equal(age(X,T1),sigma) & greater(eta,zero) & greater(tau,zero) & (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]. 0.39/1.06 0.39/1.06 ============================== end of process non-clausal formulas === 0.39/1.06 0.39/1.06 ============================== PROCESS INITIAL CLAUSES =============== 0.39/1.06 0.39/1.06 ============================== PREDICATE ELIMINATION ================= 0.39/1.06 13 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(8)]. 0.39/1.06 14 organization(c1) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.39/1.06 15 -has_endowment(A) | organization(A) # label(definition_1) # label(axiom). [clausify(7)]. 0.39/1.06 16 -dissimilar(A,B,C) | organization(A) # label(definition_2) # label(axiom). [clausify(10)]. 0.39/1.06 Derived: age(c1,A) != zero | is_aligned(c1,A). [resolve(13,a,14,a)]. 0.39/1.06 Derived: age(A,B) != zero | is_aligned(A,B) | -has_endowment(A). [resolve(13,a,15,b)]. 0.39/1.06 Derived: age(A,B) != zero | is_aligned(A,B) | -dissimilar(A,C,D). [resolve(13,a,16,b)]. 0.39/1.06 17 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17) # label(axiom). [clausify(9)]. 0.39/1.06 Derived: -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(17,a,14,a)]. 0.39/1.06 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -has_endowment(A). [resolve(17,a,15,b)]. 0.39/1.06 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -dissimilar(A,C,D). [resolve(17,a,16,b)]. 0.39/1.06 18 dissimilar(A,B,C) | -is_aligned(A,C) | is_aligned(A,B) | -organization(A) # label(definition_2) # label(axiom). [clausify(10)]. 0.39/1.06 Derived: dissimilar(c1,A,B) | -is_aligned(c1,B) | is_aligned(c1,A). [resolve(18,d,14,a)]. 0.39/1.06 Derived: dissimilar(A,B,C) | -is_aligned(A,C) | is_aligned(A,B) | -has_endowment(A). [resolve(18,d,15,b)]. 0.39/1.06 Derived: dissimilar(A,B,C) | -is_aligned(A,C) | is_aligned(A,B) | -dissimilar(A,D,E). [resolve(18,d,16,b)]. 0.39/1.06 19 dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -organization(A) # label(definition_2) # label(axiom). [clausify(10)]. 0.39/1.06 Derived: dissimilar(c1,A,B) | is_aligned(c1,B) | -is_aligned(c1,A). [resolve(19,d,14,a)]. 0.39/1.06 Derived: dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -has_endowment(A). [resolve(19,d,15,b)]. 0.39/1.06 Derived: dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -dissimilar(A,D,E). [resolve(19,d,16,b)]. 0.39/1.06 20 has_endowment(A) | -organization(A) | smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) # label(definition_1) # label(axiom). [clausify(7)]. 0.39/1.06 Derived: has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | has_immunity(c1,f1(c1)). [resolve(20,b,14,a)]. 0.39/1.06 Derived: has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C). [resolve(20,b,16,b)]. 0.39/1.06 21 has_endowment(A) | -organization(A) | -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) # label(definition_1) # label(axiom). [clausify(7)]. 0.39/1.06 Derived: has_endowment(c1) | -has_immunity(c1,f1(c1)) | greater(age(c1,f1(c1)),eta). [resolve(21,b,14,a)]. 0.39/1.06 Derived: has_endowment(A) | -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C). [resolve(21,b,16,b)]. 0.39/1.06 22 has_endowment(A) | -organization(A) | smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) # label(definition_1) # label(axiom). [clausify(7)]. 0.39/1.06 Derived: has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | greater(age(c1,f1(c1)),eta). [resolve(22,b,14,a)]. 0.39/1.06 Derived: has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C). [resolve(22,b,16,b)]. 0.39/1.06 23 -organization(A) | has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 # label(assumption_17) # label(axiom). [clausify(9)]. 0.39/1.06 Derived: has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(23,a,14,a)]. 0.39/1.06 Derived: has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 | -has_endowment(A). [resolve(23,a,15,b)]. 0.39/1.06 Derived: has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 | -dissimilar(A,C,D). [resolve(23,a,16,b)]. 0.39/1.06 24 -organization(A) | has_immunity(A,B) | positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = mod2 # label(assumption_17) # label(axiom). [clausify(9)]. 0.39/1.06 Derived: has_immunity(c1,A) | positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(24,a,14,a)]. 0.39/1.06 Derived: has_immunity(A,B) | positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = mod2 | -has_endowment(A). [resolve(24,a,15,b)]. 0.39/1.06 Derived: has_immunity(A,B) | positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = mod2 | -dissimilar(A,C,D). [resolve(24,a,16,b)]. 0.39/1.06 25 -organization(A) | has_immunity(A,B) | is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = high # label(assumption_17) # label(axiom). [clausify(9)]. 0.39/1.06 Derived: has_immunity(c1,A) | is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(25,a,14,a)]. 0.39/1.06 Derived: has_immunity(A,B) | is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = high | -has_endowment(A). [resolve(25,a,15,b)]. 0.39/1.06 Derived: has_immunity(A,B) | is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = high | -dissimilar(A,C,D). [resolve(25,a,16,b)]. 0.39/1.06 26 -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(9)]. 0.39/1.06 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(26,a,14,a)]. 0.39/1.06 Derived: has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low | -has_endowment(A). [resolve(26,a,15,b)]. 0.39/1.06 Derived: has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low | -dissimilar(A,C,D). [resolve(26,a,16,b)]. 0.39/1.06 27 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.39/1.06 Derived: age(c1,A) != zero | -dissimilar(c1,A,B) | greater(age(c1,B),sigma). [resolve(27,a,14,a)]. 0.39/1.06 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -has_endowment(A). [resolve(27,a,15,b)]. 0.39/1.06 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(27,a,16,b)]. 0.39/1.06 28 -organization(A) | age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.39/1.06 Derived: age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(28,a,14,a)]. 0.39/1.06 Derived: age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -has_endowment(A). [resolve(28,a,15,b)]. 0.39/1.06 Derived: age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(28,a,16,b)]. 0.39/1.06 29 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(7)]. 0.39/1.06 30 has_endowment(c1) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.39/1.06 Derived: -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(29,a,30,a)]. 0.39/1.06 31 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(7)]. 0.39/1.06 Derived: -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(31,a,30,a)]. 0.39/1.06 32 age(A,B) != zero | is_aligned(A,B) | -has_endowment(A). [resolve(13,a,15,b)]. 0.39/1.06 Derived: age(c1,A) != zero | is_aligned(c1,A). [resolve(32,c,30,a)]. 0.39/1.06 33 -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -has_endowment(A). [resolve(17,a,15,b)]. 0.39/1.06 Derived: -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(33,c,30,a)]. 0.39/1.06 34 dissimilar(A,B,C) | -is_aligned(A,C) | is_aligned(A,B) | -has_endowment(A). [resolve(18,d,15,b)]. 0.39/1.06 Derived: dissimilar(c1,A,B) | -is_aligned(c1,B) | is_aligned(c1,A). [resolve(34,d,30,a)]. 0.39/1.06 35 dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -has_endowment(A). [resolve(19,d,15,b)]. 0.39/1.06 Derived: dissimilar(c1,A,B) | is_aligned(c1,B) | -is_aligned(c1,A). [resolve(35,d,30,a)]. 0.39/1.06 36 has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | has_immunity(c1,f1(c1)). [resolve(20,b,14,a)]. 0.39/1.06 37 has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C). [resolve(20,b,16,b)]. 0.39/1.06 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)]. 0.39/1.06 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)]. 0.39/1.06 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,32,c)]. 0.39/1.06 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,33,c)]. 0.39/1.06 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C) | dissimilar(A,D,E) | -is_aligned(A,E) | is_aligned(A,D). [resolve(37,a,34,d)]. 0.39/1.06 Derived: smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C) | dissimilar(A,D,E) | is_aligned(A,E) | -is_aligned(A,D). [resolve(37,a,35,d)]. 0.39/1.06 38 has_endowment(c1) | -has_immunity(c1,f1(c1)) | greater(age(c1,f1(c1)),eta). [resolve(21,b,14,a)]. 0.39/1.06 39 has_endowment(A) | -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C). [resolve(21,b,16,b)]. 0.39/1.06 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)]. 0.39/1.06 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)]. 0.39/1.06 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,32,c)]. 0.39/1.06 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,33,c)]. 0.39/1.06 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | dissimilar(A,D,E) | -is_aligned(A,E) | is_aligned(A,D). [resolve(39,a,34,d)]. 0.39/1.06 Derived: -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | dissimilar(A,D,E) | is_aligned(A,E) | -is_aligned(A,D). [resolve(39,a,35,d)]. 0.39/1.06 40 has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | greater(age(c1,f1(c1)),eta). [resolve(22,b,14,a)]. 0.39/1.06 41 has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C). [resolve(22,b,16,b)]. 0.39/1.06 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(41,a,29,a)]. 0.39/1.06 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(41,a,31,a)]. 0.39/1.06 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(41,a,32,c)]. 0.39/1.06 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(41,a,33,c)]. 0.39/1.06 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | dissimilar(A,D,E) | -is_aligned(A,E) | is_aligned(A,D). [resolve(41,a,34,d)]. 0.39/1.06 Derived: smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C) | dissimilar(A,D,E) | is_aligned(A,E) | -is_aligned(A,D). [resolve(41,a,35,d)]. 0.92/1.21 42 has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 | -has_endowment(A). [resolve(23,a,15,b)]. 0.92/1.21 Derived: has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(42,e,30,a)]. 0.92/1.21 43 has_immunity(A,B) | positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = mod2 | -has_endowment(A). [resolve(24,a,15,b)]. 0.92/1.21 Derived: has_immunity(c1,A) | positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(43,e,30,a)]. 0.92/1.21 44 has_immunity(A,B) | is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = high | -has_endowment(A). [resolve(25,a,15,b)]. 0.92/1.21 Derived: has_immunity(c1,A) | is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(44,e,30,a)]. 0.92/1.21 45 has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low | -has_endowment(A). [resolve(26,a,15,b)]. 0.92/1.21 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(45,e,30,a)]. 0.92/1.21 46 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -has_endowment(A). [resolve(27,a,15,b)]. 0.92/1.21 47 age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -has_endowment(A). [resolve(28,a,15,b)]. 0.92/1.21 Derived: age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(47,d,30,a)]. 0.92/1.21 48 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.92/1.21 49 A = B | greater(B,A) | smaller(B,A) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(6)]. 0.92/1.21 Derived: smaller_or_equal(A,B) | B = A | greater(A,B). [resolve(48,a,49,c)]. 0.92/1.21 50 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.92/1.21 Derived: -greater(A,B) | smaller_or_equal(B,A). [resolve(50,b,48,a)]. 0.92/1.21 51 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.92/1.21 Derived: greater(A,B) | A = B | greater(B,A). [resolve(51,b,49,c)]. 0.92/1.21 52 smaller(A,B) | B = A | -smaller_or_equal(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.92/1.21 Derived: A = B | -smaller_or_equal(B,A) | greater(A,B). [resolve(52,a,51,b)]. 0.92/1.21 53 greater(A,B) | B = A | -greater_or_equal(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 0.92/1.21 54 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 0.92/1.21 55 A != B | greater_or_equal(B,A) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 0.92/1.21 0.92/1.21 ============================== end predicate elimination ============= 0.92/1.21 0.92/1.21 Auto_denials: (non-Horn, no changes). 0.92/1.21 0.92/1.21 Term ordering decisions: 0.92/1.21 0.92/1.21 % Assigning unary symbol f1 kb_weight 0 and highest precedence (23). 0.92/1.21 Function symbol KB weights: eta=1. zero=1. sigma=1. very_low=1. 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. 0.92/1.21 0.92/1.21 ============================== end of process initial clauses ======== 0.92/1.21 0.92/1.21 ============================== CLAUSES FOR SEARCH ==================== 0.92/1.21 0.92/1.21 ============================== end of clauses for search ============= 0.92/1.21 0.92/1.21 ============================== SEARCH ================================ 0.92/1.21 0.92/1.21 % Starting search at 0.02 seconds. 0.92/1.21 0.92/1.21 ============================== PROOF ================================= 0.92/1.21 % SZS status Theorem 0.92/1.21 % SZS output start Refutation 0.92/1.21 0.92/1.21 % Proof 1 at 0.16 (+ 0.00) seconds. 0.92/1.21 % Length of proof is 81. 0.92/1.21 % Level of proof is 11. 0.92/1.21 % Maximum clause weight is 16.000. 0.92/1.21 % Given clauses 279. 0.92/1.21 0.92/1.21 1 (all X all Y (smaller(X,Y) | X = Y <-> smaller_or_equal(X,Y))) # label(definition_smaller_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.92/1.21 2 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.92/1.21 3 (all X all Y -(greater(Y,X) & greater(X,Y))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.92/1.21 5 (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]. 0.92/1.21 6 (all X all Y (X = Y | greater(X,Y) | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.92/1.21 7 (all X (has_endowment(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)))))) # label(definition_1) # label(axiom) # label(non_clause). [assumption]. 0.92/1.21 8 (all X all T (organization(X) & age(X,T) = zero -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.92/1.21 9 (all X all T (organization(X) -> (-has_immunity(X,T) -> (-is_aligned(X,T) & positional_advantage(X,T) -> mod1 = hazard_of_mortality(X,T)) & (-positional_advantage(X,T) & is_aligned(X,T) -> hazard_of_mortality(X,T) = mod2) & (-is_aligned(X,T) & -positional_advantage(X,T) -> high = hazard_of_mortality(X,T)) & (is_aligned(X,T) & positional_advantage(X,T) -> hazard_of_mortality(X,T) = low)) & (has_immunity(X,T) -> very_low = hazard_of_mortality(X,T)))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 0.92/1.21 10 (all X all T0 all T (dissimilar(X,T0,T) <-> -(is_aligned(X,T) <-> is_aligned(X,T0)) & organization(X))) # label(definition_2) # label(axiom) # label(non_clause). [assumption]. 0.92/1.21 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]. 0.92/1.21 12 -(all X all T0 all T1 all T2 (organization(X) & has_endowment(X) & zero = age(X,T0) & greater(sigma,zero) & greater(age(X,T2),eta) & greater(age(X,T2),tau) & greater(age(X,T2),sigma) & smaller_or_equal(age(X,T1),eta) & smaller_or_equal(age(X,T1),tau) & smaller_or_equal(age(X,T1),sigma) & greater(eta,zero) & greater(tau,zero) & (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]. 0.92/1.21 13 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(8)]. 0.92/1.21 14 organization(c1) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.92/1.21 17 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17) # label(axiom). [clausify(9)]. 0.92/1.21 23 -organization(A) | has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 # label(assumption_17) # label(axiom). [clausify(9)]. 0.92/1.21 25 -organization(A) | has_immunity(A,B) | is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = high # label(assumption_17) # label(axiom). [clausify(9)]. 0.92/1.21 28 -organization(A) | age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(11)]. 0.92/1.21 29 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(7)]. 0.92/1.21 30 has_endowment(c1) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.92/1.21 31 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1) # label(axiom). [clausify(7)]. 0.92/1.21 48 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.92/1.21 49 A = B | greater(B,A) | smaller(B,A) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(6)]. 0.92/1.21 50 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.92/1.21 51 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.92/1.21 56 greater(low,very_low) # label(assumption_18c) # label(axiom). [assumption]. 0.92/1.21 58 greater(high,mod2) # label(assumption_18d) # label(axiom). [assumption]. 0.92/1.21 59 greater(mod2,low) # label(assumption_18e) # label(axiom). [assumption]. 0.92/1.21 60 greater(mod1,low) # label(assumption_18b) # label(axiom). [assumption]. 0.92/1.21 62 greater(eta,zero) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.92/1.21 64 age(c1,c2) = zero # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.92/1.21 65 greater(age(c1,c4),eta) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.92/1.21 67 greater(age(c1,c4),sigma) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.92/1.21 68 smaller_or_equal(age(c1,c3),eta) # label(theorem_11) # label(negated_conjecture). [clausify(12)]. 0.92/1.21 71 -greater(A,B) | -greater(B,A) # label(meaning_postulate_greater_strict) # label(axiom). [clausify(3)]. 0.92/1.21 72 -dissimilar(A,B,C) | -is_aligned(A,C) | -is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(10)]. 0.92/1.21 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)]. 0.92/1.21 75 -greater(A,B) | -greater(B,C) | greater(A,C) # label(meaning_postulate_greater_transitive) # label(axiom). [clausify(5)]. 0.92/1.21 77 age(c1,A) != zero | is_aligned(c1,A). [resolve(13,a,14,a)]. 0.92/1.21 79 -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(17,a,14,a)]. 0.92/1.21 85 has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(23,a,14,a)]. 0.92/1.21 89 has_immunity(c1,A) | is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(25,a,14,a)]. 0.92/1.21 95 age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(28,a,14,a)]. 0.92/1.21 97 -greater(age(c1,A),eta) | -has_immunity(c1,A). [resolve(29,a,30,a)]. 0.92/1.21 98 -smaller_or_equal(age(c1,A),eta) | has_immunity(c1,A). [resolve(31,a,30,a)]. 0.92/1.21 106 -greater(A,B) | smaller_or_equal(B,A). [resolve(50,b,48,a)]. 0.92/1.21 107 greater(A,B) | A = B | greater(B,A). [resolve(51,b,49,c)]. 0.92/1.21 109 -greater(A,A). [factor(71,a,b)]. 0.92/1.21 132 -greater(low,A) | greater(mod1,A). [resolve(75,a,60,a)]. 0.92/1.21 133 -greater(low,A) | greater(mod2,A). [resolve(75,a,59,a)]. 0.92/1.21 134 -greater(mod2,A) | greater(high,A). [resolve(75,a,58,a)]. 0.92/1.21 148 is_aligned(c1,c2). [resolve(77,a,64,a)]. 0.92/1.21 149 has_immunity(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high | hazard_of_mortality(c1,A) = mod1. [resolve(89,c,85,c),merge(d),merge(e)]. 0.92/1.21 150 age(c1,A) != zero | dissimilar(c1,A,c4). [resolve(95,c,67,a)]. 0.92/1.21 151 -has_immunity(c1,c4). [ur(97,a,65,a)]. 0.92/1.21 152 has_immunity(c1,c3). [resolve(98,a,68,a)]. 0.92/1.21 153 -smaller_or_equal(zero,eta) | has_immunity(c1,c2). [para(64(a,1),98(a,1))]. 0.92/1.21 159 smaller_or_equal(zero,eta). [resolve(106,a,62,a)]. 0.92/1.21 166 has_immunity(c1,c2). [back_unit_del(153),unit_del(a,159)]. 0.92/1.21 184 hazard_of_mortality(c1,c3) = very_low. [resolve(152,a,79,a)]. 0.92/1.21 186 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)]. 0.92/1.21 193 hazard_of_mortality(c1,c2) = very_low. [resolve(166,a,79,a)]. 0.92/1.21 194 -greater(hazard_of_mortality(c1,c4),very_low). [back_rewrite(186),rewrite([193(3)]),xx(a)]. 0.92/1.21 202 -greater(hazard_of_mortality(c1,c4),low). [ur(75,b,56,a,c,194,a)]. 0.92/1.21 219 greater(mod1,very_low). [resolve(132,a,56,a)]. 0.92/1.21 224 greater(mod2,very_low). [resolve(133,a,56,a)]. 0.92/1.21 228 greater(high,very_low). [resolve(134,a,224,a)]. 0.92/1.21 230 greater(high,low). [resolve(134,a,59,a)]. 0.92/1.21 234 -greater(very_low,A) | greater(high,A). [resolve(228,a,75,a)]. 0.92/1.21 237 -greater(low,A) | greater(high,A). [resolve(230,a,75,a)]. 0.92/1.21 255 greater(high,A) | greater(A,very_low) | very_low = A. [resolve(234,a,107,c),flip(c)]. 0.92/1.21 257 greater(high,A) | greater(A,low) | low = A. [resolve(237,a,107,c),flip(c)]. 0.92/1.21 258 is_aligned(c1,c4) | hazard_of_mortality(c1,c4) = high | hazard_of_mortality(c1,c4) = mod1. [resolve(149,a,151,a)]. 0.92/1.21 264 dissimilar(c1,c2,c4). [resolve(150,a,64,a)]. 0.92/1.21 265 -is_aligned(c1,c4). [resolve(264,a,72,a),unit_del(b,148)]. 0.92/1.21 266 hazard_of_mortality(c1,c4) = high | hazard_of_mortality(c1,c4) = mod1. [back_unit_del(258),unit_del(a,265)]. 0.92/1.21 796 greater(high,hazard_of_mortality(c1,c4)) | hazard_of_mortality(c1,c4) = very_low. [resolve(255,b,194,a),flip(b)]. 0.92/1.21 842 greater(high,hazard_of_mortality(c1,c4)) | hazard_of_mortality(c1,c4) = low. [resolve(257,b,202,a),flip(b)]. 0.92/1.21 1371 hazard_of_mortality(c1,c4) = high. [para(266(b,1),194(a,1)),unit_del(b,219)]. 0.92/1.21 1392 high = low. [back_rewrite(842),rewrite([1371(4),1371(6)]),unit_del(a,109)]. 0.92/1.21 1393 low = very_low. [back_rewrite(796),rewrite([1392(1),1371(4),1392(2),1371(6),1392(4)]),unit_del(a,109)]. 0.92/1.21 1425 $F. [back_rewrite(230),rewrite([1392(1),1393(1),1393(2)]),unit_del(a,109)]. 0.92/1.21 0.92/1.21 % SZS output end Refutation 0.92/1.21 ============================== end of proof ========================== 0.92/1.21 0.92/1.21 ============================== STATISTICS ============================ 0.92/1.21 0.92/1.21 Given=279. Generated=4422. Kept=1369. proofs=1. 0.92/1.21 Usable=227. Sos=640. Demods=8. Limbo=33, Disabled=587. Hints=0. 0.92/1.21 Megabytes=1.41. 0.92/1.21 User_CPU=0.16, System_CPU=0.00, Wall_clock=0. 0.92/1.21 0.92/1.21 ============================== end of statistics ===================== 0.92/1.21 0.92/1.21 ============================== end of search ========================= 0.92/1.21 0.92/1.21 THEOREM PROVED 0.92/1.21 % SZS status Theorem 0.92/1.21 0.92/1.21 Exiting with 1 proof. 0.92/1.21 0.92/1.21 Process 12381 exit (max_proofs) Tue Aug 9 02:19:12 2022 0.92/1.21 Prover9 interrupted 0.92/1.21 EOF