0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.34 % Computer : n028.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1440 0.14/0.34 % WCLimit : 180 0.14/0.34 % DateTime : Mon Jul 3 05:33:58 EDT 2023 0.14/0.34 % CPUTime : 0.47/1.02 ============================== Prover9 =============================== 0.47/1.02 Prover9 (32) version 2009-11A, November 2009. 0.47/1.02 Process 15295 was started by sandbox2 on n028.cluster.edu, 0.47/1.02 Mon Jul 3 05:33:59 2023 0.47/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_14904_n028.cluster.edu". 0.47/1.02 ============================== end of head =========================== 0.47/1.02 0.47/1.02 ============================== INPUT ================================= 0.47/1.02 0.47/1.02 % Reading from file /tmp/Prover9_14904_n028.cluster.edu 0.47/1.02 0.47/1.02 set(prolog_style_variables). 0.47/1.02 set(auto2). 0.47/1.02 % set(auto2) -> set(auto). 0.47/1.02 % set(auto) -> set(auto_inference). 0.47/1.02 % set(auto) -> set(auto_setup). 0.47/1.02 % set(auto_setup) -> set(predicate_elim). 0.47/1.02 % set(auto_setup) -> assign(eq_defs, unfold). 0.47/1.02 % set(auto) -> set(auto_limits). 0.47/1.02 % set(auto_limits) -> assign(max_weight, "100.000"). 0.47/1.02 % set(auto_limits) -> assign(sos_limit, 20000). 0.47/1.02 % set(auto) -> set(auto_denials). 0.47/1.02 % set(auto) -> set(auto_process). 0.47/1.02 % set(auto2) -> assign(new_constants, 1). 0.47/1.02 % set(auto2) -> assign(fold_denial_max, 3). 0.47/1.02 % set(auto2) -> assign(max_weight, "200.000"). 0.47/1.02 % set(auto2) -> assign(max_hours, 1). 0.47/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.47/1.02 % set(auto2) -> assign(max_seconds, 0). 0.47/1.02 % set(auto2) -> assign(max_minutes, 5). 0.47/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.47/1.02 % set(auto2) -> set(sort_initial_sos). 0.47/1.02 % set(auto2) -> assign(sos_limit, -1). 0.47/1.02 % set(auto2) -> assign(lrs_ticks, 3000). 0.47/1.02 % set(auto2) -> assign(max_megs, 400). 0.47/1.02 % set(auto2) -> assign(stats, some). 0.47/1.02 % set(auto2) -> clear(echo_input). 0.47/1.02 % set(auto2) -> set(quiet). 0.47/1.02 % set(auto2) -> clear(print_initial_clauses). 0.47/1.02 % set(auto2) -> clear(print_given). 0.47/1.02 assign(lrs_ticks,-1). 0.47/1.02 assign(sos_limit,10000). 0.47/1.02 assign(order,kbo). 0.47/1.02 set(lex_order_vars). 0.47/1.02 clear(print_given). 0.47/1.02 0.47/1.02 % formulas(sos). % not echoed (20 formulas) 0.47/1.02 0.47/1.02 ============================== end of input ========================== 0.47/1.02 0.47/1.02 % From the command line: assign(max_seconds, 1440). 0.47/1.02 0.47/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.47/1.02 0.47/1.02 % Formulas that are not ordinary clauses: 0.47/1.02 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]. 0.47/1.02 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]. 0.47/1.02 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]. 0.47/1.02 4 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.47/1.02 5 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.47/1.02 6 (all X all Y (greater(X,Y) | X = Y | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.47/1.02 7 (all X all T (organization(X) -> (-has_immunity(X,T) -> (is_aligned(X,T) & positional_advantage(X,T) -> hazard_of_mortality(X,T) = low) & (-positional_advantage(X,T) & -is_aligned(X,T) -> hazard_of_mortality(X,T) = high) & (is_aligned(X,T) & -positional_advantage(X,T) -> mod2 = hazard_of_mortality(X,T)) & (-is_aligned(X,T) & positional_advantage(X,T) -> mod1 = hazard_of_mortality(X,T))) & (has_immunity(X,T) -> very_low = hazard_of_mortality(X,T)))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 0.47/1.02 8 (all X all T0 all T (age(X,T0) = zero & organization(X) -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.47/1.02 9 (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]. 0.47/1.02 10 (all X all T (-has_endowment(X) & organization(X) -> -has_immunity(X,T))) # label(assumption_1) # label(axiom) # label(non_clause). [assumption]. 0.77/1.03 11 (all X ((all T ((greater(age(X,T),tau) -> positional_advantage(X,T)) & (smaller_or_equal(age(X,T),tau) -> -positional_advantage(X,T)))) <-> robust_position(X))) # label(definition_4) # label(axiom) # label(non_clause). [assumption]. 0.77/1.03 12 (all X all T (organization(X) & zero = age(X,T) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.77/1.03 13 (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]. 0.77/1.03 14 -(all X all T0 all T1 all T2 all T3 (organization(X) & -has_endowment(X) & smaller_or_equal(age(X,T1),tau) & greater(age(X,T2),tau) & greater(age(X,T3),sigma) & smaller_or_equal(age(X,T2),sigma) & greater(sigma,tau) & greater(tau,zero) & greater(sigma,zero) & age(X,T0) = zero & robust_position(X) -> smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) & hazard_of_mortality(X,T0) = hazard_of_mortality(X,T1) & smaller(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1)))) # label(theorem_10) # label(negated_conjecture) # label(non_clause). [assumption]. 0.77/1.03 0.77/1.03 ============================== end of process non-clausal formulas === 0.77/1.03 0.77/1.03 ============================== PROCESS INITIAL CLAUSES =============== 0.77/1.03 0.77/1.03 ============================== PREDICATE ELIMINATION ================= 0.77/1.03 15 has_endowment(A) | -organization(A) | -has_immunity(A,B) # label(assumption_1) # label(axiom). [clausify(10)]. 0.77/1.03 16 organization(c1) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 0.77/1.03 17 -has_endowment(A) | organization(A) # label(definition_1) # label(axiom). [clausify(9)]. 0.77/1.03 18 organization(A) | -dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(13)]. 0.77/1.03 Derived: has_endowment(c1) | -has_immunity(c1,A). [resolve(15,b,16,a)]. 0.77/1.03 Derived: has_endowment(A) | -has_immunity(A,B) | -dissimilar(A,C,D). [resolve(15,b,18,a)]. 0.77/1.03 19 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17) # label(axiom). [clausify(7)]. 0.77/1.03 Derived: -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(19,a,16,a)]. 0.77/1.03 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -has_endowment(A). [resolve(19,a,17,b)]. 0.77/1.03 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -dissimilar(A,C,D). [resolve(19,a,18,a)]. 0.77/1.03 20 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(12)]. 0.77/1.03 Derived: age(c1,A) != zero | is_aligned(c1,A). [resolve(20,a,16,a)]. 0.77/1.03 Derived: age(A,B) != zero | is_aligned(A,B) | -has_endowment(A). [resolve(20,a,17,b)]. 0.77/1.03 Derived: age(A,B) != zero | is_aligned(A,B) | -dissimilar(A,C,D). [resolve(20,a,18,a)]. 0.77/1.03 21 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(13)]. 0.77/1.03 Derived: -is_aligned(c1,A) | is_aligned(c1,B) | dissimilar(c1,A,B). [resolve(21,a,16,a)]. 0.77/1.03 Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) | -has_endowment(A). [resolve(21,a,17,b)]. 0.77/1.03 Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) | -dissimilar(A,D,E). [resolve(21,a,18,a)]. 0.77/1.03 22 -organization(A) | is_aligned(A,B) | -is_aligned(A,C) | dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(13)]. 0.77/1.03 Derived: is_aligned(c1,A) | -is_aligned(c1,B) | dissimilar(c1,A,B). [resolve(22,a,16,a)]. 0.77/1.03 Derived: is_aligned(A,B) | -is_aligned(A,C) | dissimilar(A,B,C) | -has_endowment(A). [resolve(22,a,17,b)]. 0.77/1.03 Derived: is_aligned(A,B) | -is_aligned(A,C) | dissimilar(A,B,C) | -dissimilar(A,D,E). [resolve(22,a,18,a)]. 0.77/1.03 23 has_endowment(A) | -organization(A) | smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) # label(definition_1) # label(axiom). [clausify(9)]. 0.77/1.03 Derived: has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | has_immunity(c1,f1(c1)). [resolve(23,b,16,a)]. 0.77/1.03 Derived: has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | has_immunity(A,f1(A)) | -dissimilar(A,B,C). [resolve(23,b,18,a)]. 0.77/1.03 24 has_endowment(A) | -organization(A) | -has_immunity(A,f1(A)) | greater(age(A,f1(A)),eta) # label(definition_1) # label(axiom). [clausify(9)]. 0.77/1.03 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(7)]. 0.77/1.03 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(25,a,16,a)]. 0.77/1.03 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,17,b)]. 0.77/1.03 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,18,a)]. 0.77/1.03 26 -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(7)]. 0.77/1.03 Derived: has_immunity(c1,A) | positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(26,a,16,a)]. 0.77/1.03 Derived: has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high | -has_endowment(A). [resolve(26,a,17,b)]. 0.77/1.03 Derived: has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high | -dissimilar(A,C,D). [resolve(26,a,18,a)]. 0.77/1.03 27 -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(7)]. 0.77/1.03 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(27,a,16,a)]. 0.77/1.03 Derived: has_immunity(A,B) | -is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = mod2 | -has_endowment(A). [resolve(27,a,17,b)]. 0.77/1.03 Derived: has_immunity(A,B) | -is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = mod2 | -dissimilar(A,C,D). [resolve(27,a,18,a)]. 0.77/1.03 28 -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(7)]. 0.77/1.03 Derived: has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(28,a,16,a)]. 0.77/1.03 Derived: has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 | -has_endowment(A). [resolve(28,a,17,b)]. 0.77/1.03 Derived: has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 | -dissimilar(A,C,D). [resolve(28,a,18,a)]. 0.77/1.03 29 age(A,B) != zero | -organization(A) | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(8)]. 0.77/1.03 Derived: age(c1,A) != zero | -dissimilar(c1,A,B) | greater(age(c1,B),sigma). [resolve(29,b,16,a)]. 0.77/1.03 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -has_endowment(A). [resolve(29,b,17,b)]. 0.77/1.03 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(29,b,18,a)]. 0.77/1.03 30 age(A,B) != zero | -organization(A) | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(8)]. 0.77/1.03 Derived: age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(30,b,16,a)]. 0.77/1.03 Derived: age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -has_endowment(A). [resolve(30,b,17,b)]. 0.77/1.03 Derived: age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(30,b,18,a)]. 0.77/1.03 31 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(9)]. 0.77/1.03 Derived: has_endowment(c1) | smaller_or_equal(age(c1,f1(c1)),eta) | greater(age(c1,f1(c1)),eta). [resolve(31,b,16,a)]. 0.77/1.03 Derived: has_endowment(A) | smaller_or_equal(age(A,f1(A)),eta) | greater(age(A,f1(A)),eta) | -dissimilar(A,B,C). [resolve(31,b,18,a)]. 0.77/1.03 32 -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 0.77/1.03 33 robust_position(c1) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 34 greater(age(A,f2(A)),tau) | positional_advantage(A,f2(A)) | robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 1.66/1.98 35 greater(age(A,f2(A)),tau) | smaller_or_equal(age(A,f2(A)),tau) | robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 1.66/1.98 Derived: -smaller_or_equal(age(c1,A),tau) | -positional_advantage(c1,A). [resolve(32,c,33,a)]. 1.66/1.98 Derived: -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | greater(age(A,f2(A)),tau) | positional_advantage(A,f2(A)). [resolve(32,c,34,c)]. 1.66/1.98 Derived: -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | greater(age(A,f2(A)),tau) | smaller_or_equal(age(A,f2(A)),tau). [resolve(32,c,35,c)]. 1.66/1.98 36 -greater(age(A,B),tau) | positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 1.66/1.98 Derived: -greater(age(c1,A),tau) | positional_advantage(c1,A). [resolve(36,c,33,a)]. 1.66/1.98 Derived: -greater(age(A,B),tau) | positional_advantage(A,B) | greater(age(A,f2(A)),tau) | positional_advantage(A,f2(A)). [resolve(36,c,34,c)]. 1.66/1.98 Derived: -greater(age(A,B),tau) | positional_advantage(A,B) | greater(age(A,f2(A)),tau) | smaller_or_equal(age(A,f2(A)),tau). [resolve(36,c,35,c)]. 1.66/1.98 37 -positional_advantage(A,f2(A)) | smaller_or_equal(age(A,f2(A)),tau) | robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 1.66/1.98 Derived: -positional_advantage(A,f2(A)) | smaller_or_equal(age(A,f2(A)),tau) | -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B). [resolve(37,c,32,c)]. 1.66/1.98 Derived: -positional_advantage(A,f2(A)) | smaller_or_equal(age(A,f2(A)),tau) | -greater(age(A,B),tau) | positional_advantage(A,B). [resolve(37,c,36,c)]. 1.66/1.98 38 -greater_or_equal(A,B) | greater(A,B) | B = A # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 1.66/1.98 39 greater_or_equal(A,B) | -greater(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 1.66/1.98 40 greater_or_equal(A,B) | B != A # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 1.66/1.98 1.66/1.98 ============================== end predicate elimination ============= 1.66/1.98 1.66/1.98 Auto_denials: (non-Horn, no changes). 1.66/1.98 1.66/1.98 Term ordering decisions: 1.66/1.98 Function symbol KB weights: tau=1. zero=1. sigma=1. eta=1. low=1. mod1=1. mod2=1. high=1. very_low=1. c1=1. c2=1. c3=1. c4=1. c5=1. age=1. hazard_of_mortality=1. f1=1. f2=1. 1.66/1.98 1.66/1.98 ============================== end of process initial clauses ======== 1.66/1.98 1.66/1.98 ============================== CLAUSES FOR SEARCH ==================== 1.66/1.98 1.66/1.98 ============================== end of clauses for search ============= 1.66/1.98 1.66/1.98 ============================== SEARCH ================================ 1.66/1.98 1.66/1.98 % Starting search at 0.02 seconds. 1.66/1.98 1.66/1.98 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 113 (0.00 of 0.26 sec). 1.66/1.98 1.66/1.98 Low Water (keep): wt=15.000, iters=3373 1.66/1.98 1.66/1.98 ============================== PROOF ================================= 1.66/1.98 % SZS status Theorem 1.66/1.98 % SZS output start Refutation 1.66/1.98 1.66/1.98 % Proof 1 at 0.94 (+ 0.03) seconds. 1.66/1.98 % Length of proof is 106. 1.66/1.98 % Level of proof is 15. 1.66/1.98 % Maximum clause weight is 21.000. 1.66/1.98 % Given clauses 1544. 1.66/1.98 1.66/1.98 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]. 1.66/1.98 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]. 1.66/1.98 4 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 1.66/1.98 5 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 1.66/1.98 6 (all X all Y (greater(X,Y) | X = Y | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 1.66/1.98 7 (all X all T (organization(X) -> (-has_immunity(X,T) -> (is_aligned(X,T) & positional_advantage(X,T) -> hazard_of_mortality(X,T) = low) & (-positional_advantage(X,T) & -is_aligned(X,T) -> hazard_of_mortality(X,T) = high) & (is_aligned(X,T) & -positional_advantage(X,T) -> mod2 = hazard_of_mortality(X,T)) & (-is_aligned(X,T) & positional_advantage(X,T) -> mod1 = hazard_of_mortality(X,T))) & (has_immunity(X,T) -> very_low = hazard_of_mortality(X,T)))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 1.66/1.98 8 (all X all T0 all T (age(X,T0) = zero & organization(X) -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 1.66/1.98 10 (all X all T (-has_endowment(X) & organization(X) -> -has_immunity(X,T))) # label(assumption_1) # label(axiom) # label(non_clause). [assumption]. 1.66/1.98 11 (all X ((all T ((greater(age(X,T),tau) -> positional_advantage(X,T)) & (smaller_or_equal(age(X,T),tau) -> -positional_advantage(X,T)))) <-> robust_position(X))) # label(definition_4) # label(axiom) # label(non_clause). [assumption]. 1.66/1.98 12 (all X all T (organization(X) & zero = age(X,T) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 1.66/1.98 13 (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]. 1.66/1.98 14 -(all X all T0 all T1 all T2 all T3 (organization(X) & -has_endowment(X) & smaller_or_equal(age(X,T1),tau) & greater(age(X,T2),tau) & greater(age(X,T3),sigma) & smaller_or_equal(age(X,T2),sigma) & greater(sigma,tau) & greater(tau,zero) & greater(sigma,zero) & age(X,T0) = zero & robust_position(X) -> smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) & hazard_of_mortality(X,T0) = hazard_of_mortality(X,T1) & smaller(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1)))) # label(theorem_10) # label(negated_conjecture) # label(non_clause). [assumption]. 1.66/1.98 15 has_endowment(A) | -organization(A) | -has_immunity(A,B) # label(assumption_1) # label(axiom). [clausify(10)]. 1.66/1.98 16 organization(c1) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 18 organization(A) | -dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(13)]. 1.66/1.98 20 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(12)]. 1.66/1.98 21 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(13)]. 1.66/1.98 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(7)]. 1.66/1.98 27 -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(7)]. 1.66/1.98 28 -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(7)]. 1.66/1.98 29 age(A,B) != zero | -organization(A) | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(8)]. 1.66/1.98 30 age(A,B) != zero | -organization(A) | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(8)]. 1.66/1.98 32 -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 1.66/1.98 33 robust_position(c1) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 36 -greater(age(A,B),tau) | positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 1.66/1.98 43 greater(mod2,mod1) # label(assumption_19) # label(axiom). [assumption]. 1.66/1.98 46 greater(mod1,low) # label(assumption_18b) # label(axiom). [assumption]. 1.66/1.98 47 greater(sigma,tau) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 48 greater(tau,zero) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 50 smaller_or_equal(age(c1,c3),tau) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 51 greater(age(c1,c4),tau) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 52 greater(age(c1,c5),sigma) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 53 smaller_or_equal(age(c1,c4),sigma) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 54 age(c1,c2) = zero # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 55 greater(A,B) | B = A | smaller(A,B) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(6)]. 1.66/1.98 56 -has_endowment(c1) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 57 -greater(A,B) | -greater(B,A) # label(meaning_postulate_greater_strict) # label(axiom). [clausify(4)]. 1.66/1.98 59 -is_aligned(A,B) | -is_aligned(A,C) | -dissimilar(A,B,C) # label(definition_2) # label(axiom). [clausify(13)]. 1.66/1.98 60 -smaller(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c5)) | hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2) | -smaller(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)) # label(theorem_10) # label(negated_conjecture). [clausify(14)]. 1.66/1.98 62 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 1.66/1.98 63 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(5)]. 1.66/1.98 64 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(5)]. 1.66/1.98 65 -smaller_or_equal(A,B) | B = A | smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 1.66/1.98 66 -greater(A,B) | -greater(B,C) | greater(A,C) # label(meaning_postulate_greater_transitive) # label(axiom). [clausify(3)]. 1.66/1.98 69 has_endowment(c1) | -has_immunity(c1,A). [resolve(15,b,16,a)]. 1.66/1.98 70 -has_immunity(c1,A). [copy(69),unit_del(a,56)]. 1.66/1.98 74 age(c1,A) != zero | is_aligned(c1,A). [resolve(20,a,16,a)]. 1.66/1.98 77 -is_aligned(c1,A) | is_aligned(c1,B) | dissimilar(c1,A,B). [resolve(21,a,16,a)]. 1.66/1.98 86 has_immunity(c1,A) | -is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(25,a,16,a)]. 1.66/1.98 87 -is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = low. [copy(86),unit_del(a,70)]. 1.66/1.98 94 has_immunity(c1,A) | -is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(27,a,16,a)]. 1.66/1.98 95 -is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod2. [copy(94),unit_del(a,70)]. 1.66/1.98 98 has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(28,a,16,a)]. 1.66/1.98 99 is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [copy(98),unit_del(a,70)]. 1.66/1.98 104 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(29,b,18,a)]. 1.66/1.98 105 age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(30,b,16,a)]. 1.66/1.98 110 -smaller_or_equal(age(c1,A),tau) | -positional_advantage(c1,A). [resolve(32,c,33,a)]. 1.66/1.98 113 -greater(age(c1,A),tau) | positional_advantage(c1,A). [resolve(36,c,33,a)]. 1.66/1.98 118 -greater(A,A). [factor(57,a,b)]. 1.66/1.98 121 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma). [factor(104,b,d)]. 1.66/1.98 140 smaller(zero,tau). [resolve(63,a,48,a)]. 1.66/1.98 142 smaller(low,mod1). [resolve(63,a,46,a)]. 1.66/1.98 145 smaller(mod1,mod2). [resolve(63,a,43,a)]. 1.66/1.98 148 greater(A,B) | greater(B,A) | A = B. [resolve(64,b,55,c)]. 1.66/1.98 149 age(c1,c4) = sigma | smaller(age(c1,c4),sigma). [resolve(65,a,53,a),flip(a)]. 1.66/1.98 151 -greater(sigma,A) | greater(age(c1,c5),A). [resolve(66,a,52,a)]. 1.66/1.98 167 -greater(A,mod1) | greater(A,low). [resolve(66,b,46,a)]. 1.66/1.98 173 is_aligned(c1,c2). [resolve(74,a,54,a)]. 1.66/1.98 176 age(c1,A) != zero | dissimilar(c1,A,c5). [resolve(105,c,52,a)]. 1.66/1.98 177 -positional_advantage(c1,c3). [resolve(110,a,50,a)]. 1.66/1.98 178 -smaller_or_equal(zero,tau) | -positional_advantage(c1,c2). [para(54(a,1),110(a,1))]. 1.66/1.98 179 positional_advantage(c1,c4). [resolve(113,a,51,a)]. 1.66/1.98 180 -smaller(A,A). [ur(64,a,118,a)]. 1.66/1.98 192 smaller_or_equal(zero,tau). [resolve(140,a,62,b)]. 1.66/1.98 193 -positional_advantage(c1,c2). [back_unit_del(178),unit_del(a,192)]. 1.66/1.98 207 -greater(age(c1,c3),tau). [ur(113,b,177,a)]. 1.66/1.98 210 hazard_of_mortality(c1,c2) = mod2. [resolve(173,a,95,a),unit_del(a,193)]. 1.66/1.98 212 is_aligned(c1,A) | dissimilar(c1,c2,A). [resolve(173,a,77,a)]. 1.66/1.98 215 -smaller(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c5)) | hazard_of_mortality(c1,c3) != mod2 | -smaller(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)). [back_rewrite(60),rewrite([210(13)])]. 1.66/1.98 217 -is_aligned(c1,c4) | hazard_of_mortality(c1,c4) = low. [resolve(179,a,87,b)]. 1.66/1.98 251 age(c1,c4) = sigma | greater(sigma,age(c1,c4)). [resolve(149,b,64,b)]. 1.66/1.98 266 -greater(age(c1,c3),sigma). [ur(66,b,47,a,c,207,a)]. 1.66/1.98 277 greater(age(c1,c5),tau). [resolve(151,a,47,a)]. 1.66/1.98 279 -dissimilar(c1,c2,c3). [ur(121,a,54,a,c,266,a)]. 1.66/1.98 298 positional_advantage(c1,c5). [resolve(277,a,113,a)]. 1.66/1.98 307 is_aligned(c1,c5) | hazard_of_mortality(c1,c5) = mod1. [resolve(298,a,99,b)]. 1.66/1.98 322 greater(A,low) | greater(mod1,A) | mod1 = A. [resolve(167,a,148,b)]. 1.66/1.98 342 is_aligned(c1,c3). [resolve(212,b,279,a)]. 1.66/1.98 343 is_aligned(c1,A) | greater(age(c1,A),sigma). [resolve(212,b,121,b),rewrite([54(5)]),xx(b)]. 1.66/1.98 344 hazard_of_mortality(c1,c3) = mod2. [resolve(342,a,95,a),unit_del(a,177)]. 1.66/1.98 349 -smaller(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c5)) | -smaller(hazard_of_mortality(c1,c5),mod2). [back_rewrite(215),rewrite([344(10),344(16)]),xx(b)]. 1.66/1.98 351 dissimilar(c1,c2,c5). [resolve(176,a,54,a)]. 1.66/1.98 353 -is_aligned(c1,c5). [resolve(351,a,59,c),unit_del(a,173)]. 1.66/1.98 354 hazard_of_mortality(c1,c5) = mod1. [back_unit_del(307),unit_del(a,353)]. 1.66/1.98 357 -smaller(hazard_of_mortality(c1,c4),mod1). [back_rewrite(349),rewrite([354(6),354(8)]),unit_del(b,145)]. 1.66/1.98 362 -greater(mod1,hazard_of_mortality(c1,c4)). [ur(63,b,357,a)]. 1.66/1.98 380 greater(age(c1,c4),sigma) | hazard_of_mortality(c1,c4) = low. [resolve(343,a,217,a)]. 1.66/1.98 670 greater(hazard_of_mortality(c1,c4),low) | hazard_of_mortality(c1,c4) = mod1. [resolve(322,b,362,a),flip(b)]. 1.66/1.98 1189 age(c1,c4) = sigma | -greater(age(c1,c4),sigma). [resolve(251,b,57,b)]. 1.66/1.98 2029 hazard_of_mortality(c1,c4) = low | smaller(sigma,age(c1,c4)). [resolve(380,a,63,a)]. 1.66/1.98 5050 hazard_of_mortality(c1,c4) = mod1 | smaller(low,hazard_of_mortality(c1,c4)). [resolve(670,a,63,a)]. 1.66/1.98 5999 age(c1,c4) = sigma | hazard_of_mortality(c1,c4) = low. [resolve(1189,b,380,a)]. 1.66/1.98 6040 age(c1,c4) = sigma. [para(5999(b,1),357(a,1)),unit_del(b,142)]. 1.66/1.98 6337 hazard_of_mortality(c1,c4) = low. [back_rewrite(2029),rewrite([6040(9)]),unit_del(b,180)]. 1.66/1.98 6342 mod1 = low. [back_rewrite(5050),rewrite([6337(3),6337(7)]),flip(a),unit_del(b,180)]. 1.66/1.98 6618 $F. [back_rewrite(142),rewrite([6342(2)]),unit_del(a,180)]. 1.66/1.98 1.66/1.98 % SZS output end Refutation 1.66/1.98 ============================== end of proof ========================== 1.66/1.98 1.66/1.98 ============================== STATISTICS ============================ 1.66/1.98 1.66/1.98 Given=1544. Generated=34267. Kept=6570. proofs=1. 1.66/1.98 Usable=878. Sos=2023. Demods=7. Limbo=276, Disabled=3491. Hints=0. 1.66/1.98 Megabytes=6.46. 1.66/1.98 User_CPU=0.94, System_CPU=0.03, Wall_clock=1. 1.66/1.98 1.66/1.98 ============================== end of statistics ===================== 1.66/1.98 1.66/1.98 ============================== end of search ========================= 1.66/1.98 1.66/1.98 THEOREM PROVED 1.66/1.98 % SZS status Theorem 1.66/1.98 1.66/1.98 Exiting with 1 proof. 1.66/1.98 1.66/1.98 Process 15295 exit (max_proofs) Mon Jul 3 05:34:00 2023 1.66/1.98 Prover9 interrupted 1.66/1.98 EOF