0.04/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.16 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.37 % Computer : n004.cluster.edu 0.14/0.37 % Model : x86_64 x86_64 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.37 % Memory : 8042.1875MB 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.37 % CPULimit : 180 0.14/0.37 % DateTime : Thu Aug 29 11:14:53 EDT 2019 0.14/0.38 % CPUTime : 0.35/1.03 ============================== Prover9 =============================== 0.35/1.03 Prover9 (32) version 2009-11A, November 2009. 0.35/1.03 Process 5798 was started by sandbox on n004.cluster.edu, 0.35/1.03 Thu Aug 29 11:14:53 2019 0.35/1.03 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_5645_n004.cluster.edu". 0.35/1.03 ============================== end of head =========================== 0.35/1.03 0.35/1.03 ============================== INPUT ================================= 0.35/1.03 0.35/1.03 % Reading from file /tmp/Prover9_5645_n004.cluster.edu 0.35/1.03 0.35/1.03 set(prolog_style_variables). 0.35/1.03 set(auto2). 0.35/1.03 % set(auto2) -> set(auto). 0.35/1.03 % set(auto) -> set(auto_inference). 0.35/1.03 % set(auto) -> set(auto_setup). 0.35/1.03 % set(auto_setup) -> set(predicate_elim). 0.35/1.03 % set(auto_setup) -> assign(eq_defs, unfold). 0.35/1.03 % set(auto) -> set(auto_limits). 0.35/1.03 % set(auto_limits) -> assign(max_weight, "100.000"). 0.35/1.03 % set(auto_limits) -> assign(sos_limit, 20000). 0.35/1.03 % set(auto) -> set(auto_denials). 0.35/1.03 % set(auto) -> set(auto_process). 0.35/1.03 % set(auto2) -> assign(new_constants, 1). 0.35/1.03 % set(auto2) -> assign(fold_denial_max, 3). 0.35/1.03 % set(auto2) -> assign(max_weight, "200.000"). 0.35/1.03 % set(auto2) -> assign(max_hours, 1). 0.35/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.35/1.03 % set(auto2) -> assign(max_seconds, 0). 0.35/1.03 % set(auto2) -> assign(max_minutes, 5). 0.35/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.35/1.03 % set(auto2) -> set(sort_initial_sos). 0.35/1.03 % set(auto2) -> assign(sos_limit, -1). 0.35/1.03 % set(auto2) -> assign(lrs_ticks, 3000). 0.35/1.03 % set(auto2) -> assign(max_megs, 400). 0.35/1.03 % set(auto2) -> assign(stats, some). 0.35/1.03 % set(auto2) -> clear(echo_input). 0.35/1.03 % set(auto2) -> set(quiet). 0.35/1.03 % set(auto2) -> clear(print_initial_clauses). 0.35/1.03 % set(auto2) -> clear(print_given). 0.35/1.03 assign(lrs_ticks,-1). 0.35/1.03 assign(sos_limit,10000). 0.35/1.03 assign(order,kbo). 0.35/1.03 set(lex_order_vars). 0.35/1.03 clear(print_given). 0.35/1.03 0.35/1.03 % formulas(sos). % not echoed (20 formulas) 0.35/1.03 0.35/1.03 ============================== end of input ========================== 0.35/1.03 0.35/1.03 % From the command line: assign(max_seconds, 180). 0.35/1.03 0.35/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.35/1.03 0.35/1.03 % Formulas that are not ordinary clauses: 0.35/1.03 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]. 0.35/1.03 2 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.35/1.03 3 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.35/1.03 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]. 0.35/1.03 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]. 0.35/1.03 6 (all X all Y (X = Y | greater(X,Y) | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.35/1.03 7 (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) -> 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) -> low = 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]. 0.35/1.03 8 (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]. 0.35/1.03 9 (all X all T (-has_endowment(X) & organization(X) -> -has_immunity(X,T))) # label(assumption_1) # label(axiom) # label(non_clause). [assumption]. 0.35/1.03 10 (all X ((all T (organization(X) & (smaller_or_equal(age(X,T),eta) -> has_immunity(X,T)) & (greater(age(X,T),eta) -> -has_immunity(X,T)))) <-> has_endowment(X))) # label(definition_1) # label(axiom) # label(non_clause). [assumption]. 0.35/1.04 11 (all X all T0 all T (age(X,T0) = zero & organization(X) -> (greater(age(X,T),sigma) <-> dissimilar(X,T0,T)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.35/1.04 12 (all X all T (age(X,T) = zero & organization(X) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.35/1.04 13 (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]. 0.35/1.04 14 -(all X all T0 all T1 all T2 all T3 (organization(X) & robust_position(X) & -has_endowment(X) & age(X,T0) = zero & greater(sigma,zero) & smaller_or_equal(age(X,T1),sigma) & smaller_or_equal(age(X,T2),tau) & greater(age(X,T3),tau) & greater(age(X,T2),sigma) & smaller(sigma,tau) & greater(tau,zero) -> smaller(hazard_of_mortality(X,T1),hazard_of_mortality(X,T2)) & hazard_of_mortality(X,T0) = hazard_of_mortality(X,T1) & smaller(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1)))) # label(theorem_9) # label(negated_conjecture) # label(non_clause). [assumption]. 0.35/1.04 0.35/1.04 ============================== end of process non-clausal formulas === 0.35/1.04 0.35/1.04 ============================== PROCESS INITIAL CLAUSES =============== 0.35/1.04 0.35/1.04 ============================== PREDICATE ELIMINATION ================= 0.35/1.04 15 has_endowment(A) | -organization(A) | -has_immunity(A,B) # label(assumption_1) # label(axiom). [clausify(9)]. 0.35/1.04 16 organization(c1) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 0.35/1.04 17 organization(A) | -has_endowment(A) # label(definition_1) # label(axiom). [clausify(10)]. 0.35/1.04 18 -dissimilar(A,B,C) | organization(A) # label(definition_2) # label(axiom). [clausify(13)]. 0.35/1.04 Derived: has_endowment(c1) | -has_immunity(c1,A). [resolve(15,b,16,a)]. 0.35/1.04 Derived: has_endowment(A) | -has_immunity(A,B) | -dissimilar(A,C,D). [resolve(15,b,18,b)]. 0.35/1.04 19 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17) # label(axiom). [clausify(7)]. 0.35/1.04 Derived: -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(19,a,16,a)]. 0.35/1.04 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -has_endowment(A). [resolve(19,a,17,a)]. 0.35/1.04 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -dissimilar(A,C,D). [resolve(19,a,18,b)]. 0.35/1.04 20 age(A,B) != zero | -organization(A) | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(12)]. 0.35/1.04 Derived: age(c1,A) != zero | is_aligned(c1,A). [resolve(20,b,16,a)]. 0.35/1.04 Derived: age(A,B) != zero | is_aligned(A,B) | -has_endowment(A). [resolve(20,b,17,a)]. 0.35/1.04 Derived: age(A,B) != zero | is_aligned(A,B) | -dissimilar(A,C,D). [resolve(20,b,18,b)]. 0.35/1.04 21 dissimilar(A,B,C) | -is_aligned(A,C) | is_aligned(A,B) | -organization(A) # label(definition_2) # label(axiom). [clausify(13)]. 0.35/1.04 Derived: dissimilar(c1,A,B) | -is_aligned(c1,B) | is_aligned(c1,A). [resolve(21,d,16,a)]. 0.35/1.04 Derived: dissimilar(A,B,C) | -is_aligned(A,C) | is_aligned(A,B) | -has_endowment(A). [resolve(21,d,17,a)]. 0.35/1.04 Derived: dissimilar(A,B,C) | -is_aligned(A,C) | is_aligned(A,B) | -dissimilar(A,D,E). [resolve(21,d,18,b)]. 0.35/1.04 22 dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -organization(A) # label(definition_2) # label(axiom). [clausify(13)]. 0.35/1.04 Derived: dissimilar(c1,A,B) | is_aligned(c1,B) | -is_aligned(c1,A). [resolve(22,d,16,a)]. 0.35/1.04 Derived: dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -has_endowment(A). [resolve(22,d,17,a)]. 0.35/1.04 Derived: dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -dissimilar(A,D,E). [resolve(22,d,18,b)]. 0.35/1.04 23 -organization(A) | smaller_or_equal(age(A,f2(A)),eta) | has_immunity(A,f2(A)) | has_endowment(A) # label(definition_1) # label(axiom). [clausify(10)]. 0.35/1.04 Derived: smaller_or_equal(age(c1,f2(c1)),eta) | has_immunity(c1,f2(c1)) | has_endowment(c1). [resolve(23,a,16,a)]. 0.35/1.04 Derived: smaller_or_equal(age(A,f2(A)),eta) | has_immunity(A,f2(A)) | has_endowment(A) | -dissimilar(A,B,C). [resolve(23,a,18,b)]. 0.35/1.04 24 -organization(A) | -has_immunity(A,f2(A)) | greater(age(A,f2(A)),eta) | has_endowment(A) # label(definition_1) # label(axiom). [clausify(10)]. 0.35/1.04 25 -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)]. 0.35/1.04 Derived: has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(25,a,16,a)]. 0.35/1.04 Derived: has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 | -has_endowment(A). [resolve(25,a,17,a)]. 0.35/1.04 Derived: has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 | -dissimilar(A,C,D). [resolve(25,a,18,b)]. 0.35/1.04 26 -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(7)]. 0.35/1.04 Derived: has_immunity(c1,A) | positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(26,a,16,a)]. 0.35/1.04 Derived: has_immunity(A,B) | positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = mod2 | -has_endowment(A). [resolve(26,a,17,a)]. 0.35/1.04 Derived: has_immunity(A,B) | positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = mod2 | -dissimilar(A,C,D). [resolve(26,a,18,b)]. 0.35/1.04 27 -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)]. 0.35/1.04 Derived: has_immunity(c1,A) | positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(27,a,16,a)]. 0.35/1.04 Derived: has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high | -has_endowment(A). [resolve(27,a,17,a)]. 0.35/1.04 Derived: has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high | -dissimilar(A,C,D). [resolve(27,a,18,b)]. 0.35/1.04 28 -organization(A) | has_immunity(A,B) | -positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = low # label(assumption_17) # label(axiom). [clausify(7)]. 0.35/1.04 Derived: has_immunity(c1,A) | -positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(28,a,16,a)]. 0.35/1.04 Derived: has_immunity(A,B) | -positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = low | -has_endowment(A). [resolve(28,a,17,a)]. 0.35/1.04 Derived: has_immunity(A,B) | -positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = low | -dissimilar(A,C,D). [resolve(28,a,18,b)]. 0.35/1.04 29 -organization(A) | smaller_or_equal(age(A,f2(A)),eta) | greater(age(A,f2(A)),eta) | has_endowment(A) # label(definition_1) # label(axiom). [clausify(10)]. 0.35/1.04 Derived: smaller_or_equal(age(c1,f2(c1)),eta) | greater(age(c1,f2(c1)),eta) | has_endowment(c1). [resolve(29,a,16,a)]. 0.35/1.04 Derived: smaller_or_equal(age(A,f2(A)),eta) | greater(age(A,f2(A)),eta) | has_endowment(A) | -dissimilar(A,B,C). [resolve(29,a,18,b)]. 0.35/1.04 30 age(A,B) != zero | -organization(A) | -greater(age(A,C),sigma) | dissimilar(A,B,C) # label(assumption_15) # label(axiom). [clausify(11)]. 0.35/1.04 Derived: age(c1,A) != zero | -greater(age(c1,B),sigma) | dissimilar(c1,A,B). [resolve(30,b,16,a)]. 0.35/1.04 Derived: age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) | -has_endowment(A). [resolve(30,b,17,a)]. 0.35/1.04 Derived: age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) | -dissimilar(A,D,E). [resolve(30,b,18,b)]. 0.35/1.04 31 age(A,B) != zero | -organization(A) | greater(age(A,C),sigma) | -dissimilar(A,B,C) # label(assumption_15) # label(axiom). [clausify(11)]. 0.35/1.04 Derived: age(c1,A) != zero | greater(age(c1,B),sigma) | -dissimilar(c1,A,B). [resolve(31,b,16,a)]. 0.35/1.04 Derived: age(A,B) != zero | greater(age(A,C),sigma) | -dissimilar(A,B,C) | -has_endowment(A). [resolve(31,b,17,a)]. 0.35/1.04 Derived: age(A,B) != zero | greater(age(A,C),sigma) | -dissimilar(A,B,C) | -dissimilar(A,D,E). [resolve(31,b,18,b)]. 0.35/1.04 32 -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(8)]. 0.35/1.04 33 robust_position(c1) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 34 greater(age(A,f1(A)),tau) | positional_advantage(A,f1(A)) | robust_position(A) # label(definition_4) # label(axiom). [clausify(8)]. 173.76/174.08 35 greater(age(A,f1(A)),tau) | smaller_or_equal(age(A,f1(A)),tau) | robust_position(A) # label(definition_4) # label(axiom). [clausify(8)]. 173.76/174.08 Derived: -smaller_or_equal(age(c1,A),tau) | -positional_advantage(c1,A). [resolve(32,c,33,a)]. 173.76/174.08 Derived: -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | greater(age(A,f1(A)),tau) | positional_advantage(A,f1(A)). [resolve(32,c,34,c)]. 173.76/174.08 Derived: -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | greater(age(A,f1(A)),tau) | smaller_or_equal(age(A,f1(A)),tau). [resolve(32,c,35,c)]. 173.76/174.08 36 -greater(age(A,B),tau) | positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(8)]. 173.76/174.08 Derived: -greater(age(c1,A),tau) | positional_advantage(c1,A). [resolve(36,c,33,a)]. 173.76/174.08 Derived: -greater(age(A,B),tau) | positional_advantage(A,B) | greater(age(A,f1(A)),tau) | positional_advantage(A,f1(A)). [resolve(36,c,34,c)]. 173.76/174.08 Derived: -greater(age(A,B),tau) | positional_advantage(A,B) | greater(age(A,f1(A)),tau) | smaller_or_equal(age(A,f1(A)),tau). [resolve(36,c,35,c)]. 173.76/174.08 37 -positional_advantage(A,f1(A)) | smaller_or_equal(age(A,f1(A)),tau) | robust_position(A) # label(definition_4) # label(axiom). [clausify(8)]. 173.76/174.08 Derived: -positional_advantage(A,f1(A)) | smaller_or_equal(age(A,f1(A)),tau) | -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B). [resolve(37,c,32,c)]. 173.76/174.08 Derived: -positional_advantage(A,f1(A)) | smaller_or_equal(age(A,f1(A)),tau) | -greater(age(A,B),tau) | positional_advantage(A,B). [resolve(37,c,36,c)]. 173.76/174.08 38 greater(A,B) | B = A | -greater_or_equal(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 173.76/174.08 39 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 173.76/174.08 40 A != B | greater_or_equal(B,A) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 173.76/174.08 173.76/174.08 ============================== end predicate elimination ============= 173.76/174.08 173.76/174.08 Auto_denials: (non-Horn, no changes). 173.76/174.08 173.76/174.08 Term ordering decisions: 173.76/174.08 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. 173.76/174.08 173.76/174.08 ============================== end of process initial clauses ======== 173.76/174.08 173.76/174.08 ============================== CLAUSES FOR SEARCH ==================== 173.76/174.08 173.76/174.08 ============================== end of clauses for search ============= 173.76/174.08 173.76/174.08 ============================== SEARCH ================================ 173.76/174.08 173.76/174.08 % Starting search at 0.02 seconds. 173.76/174.08 173.76/174.08 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 114 (0.00 of 0.24 sec). 173.76/174.08 173.76/174.08 Low Water (keep): wt=31.000, iters=3350 173.76/174.08 173.76/174.08 Low Water (keep): wt=29.000, iters=3337 173.76/174.08 173.76/174.08 Low Water (keep): wt=22.000, iters=3338 173.76/174.08 173.76/174.08 Low Water (keep): wt=21.000, iters=3355 173.76/174.08 173.76/174.08 Low Water (keep): wt=19.000, iters=3334 173.76/174.08 173.76/174.08 Low Water (keep): wt=18.000, iters=3333 173.76/174.08 173.76/174.08 Low Water (keep): wt=17.000, iters=3334 173.76/174.08 173.76/174.08 Low Water (keep): wt=16.000, iters=3400 173.76/174.08 173.76/174.08 Low Water (keep): wt=15.000, iters=3333 173.76/174.08 173.76/174.08 ============================== PROOF ================================= 173.76/174.08 % SZS status Theorem 173.76/174.08 % SZS output start Refutation 173.76/174.08 173.76/174.08 % Proof 1 at 165.83 (+ 7.20) seconds. 173.76/174.08 % Length of proof is 113. 173.76/174.08 % Level of proof is 16. 173.76/174.08 % Maximum clause weight is 21.000. 173.76/174.08 % Given clauses 14100. 173.76/174.08 173.76/174.08 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]. 173.76/174.08 2 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 173.76/174.08 3 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 173.76/174.08 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]. 173.76/174.08 6 (all X all Y (X = Y | greater(X,Y) | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 173.76/174.08 7 (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) -> 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) -> low = 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]. 173.76/174.08 8 (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]. 173.76/174.08 9 (all X all T (-has_endowment(X) & organization(X) -> -has_immunity(X,T))) # label(assumption_1) # label(axiom) # label(non_clause). [assumption]. 173.76/174.08 11 (all X all T0 all T (age(X,T0) = zero & organization(X) -> (greater(age(X,T),sigma) <-> dissimilar(X,T0,T)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 173.76/174.08 12 (all X all T (age(X,T) = zero & organization(X) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 173.76/174.08 13 (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]. 173.76/174.08 14 -(all X all T0 all T1 all T2 all T3 (organization(X) & robust_position(X) & -has_endowment(X) & age(X,T0) = zero & greater(sigma,zero) & smaller_or_equal(age(X,T1),sigma) & smaller_or_equal(age(X,T2),tau) & greater(age(X,T3),tau) & greater(age(X,T2),sigma) & smaller(sigma,tau) & greater(tau,zero) -> smaller(hazard_of_mortality(X,T1),hazard_of_mortality(X,T2)) & hazard_of_mortality(X,T0) = hazard_of_mortality(X,T1) & smaller(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1)))) # label(theorem_9) # label(negated_conjecture) # label(non_clause). [assumption]. 173.76/174.08 15 has_endowment(A) | -organization(A) | -has_immunity(A,B) # label(assumption_1) # label(axiom). [clausify(9)]. 173.76/174.08 16 organization(c1) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 18 -dissimilar(A,B,C) | organization(A) # label(definition_2) # label(axiom). [clausify(13)]. 173.76/174.08 20 age(A,B) != zero | -organization(A) | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(12)]. 173.76/174.08 22 dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -organization(A) # label(definition_2) # label(axiom). [clausify(13)]. 173.76/174.08 25 -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)]. 173.76/174.08 26 -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(7)]. 173.76/174.08 27 -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)]. 173.76/174.08 30 age(A,B) != zero | -organization(A) | -greater(age(A,C),sigma) | dissimilar(A,B,C) # label(assumption_15) # label(axiom). [clausify(11)]. 173.76/174.08 31 age(A,B) != zero | -organization(A) | greater(age(A,C),sigma) | -dissimilar(A,B,C) # label(assumption_15) # label(axiom). [clausify(11)]. 173.76/174.08 32 -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(8)]. 173.76/174.08 33 robust_position(c1) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 36 -greater(age(A,B),tau) | positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(8)]. 173.76/174.08 43 greater(mod2,mod1) # label(assumption_19) # label(axiom). [assumption]. 173.76/174.08 44 greater(high,mod2) # label(assumption_18d) # label(axiom). [assumption]. 173.76/174.08 48 smaller(sigma,tau) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 49 greater(tau,zero) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 50 age(c1,c2) = zero # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 51 smaller_or_equal(age(c1,c3),sigma) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 52 smaller_or_equal(age(c1,c4),tau) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 53 greater(age(c1,c5),tau) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 54 greater(age(c1,c4),sigma) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 55 A = B | greater(B,A) | smaller(B,A) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(6)]. 173.76/174.08 56 -has_endowment(c1) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 57 -greater(A,B) | -greater(B,A) # label(meaning_postulate_greater_strict) # label(axiom). [clausify(3)]. 173.76/174.08 59 -dissimilar(A,B,C) | -is_aligned(A,C) | -is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(13)]. 173.76/174.08 60 -smaller(hazard_of_mortality(c1,c3),hazard_of_mortality(c1,c4)) | hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2) | -smaller(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)) # label(theorem_9) # label(negated_conjecture). [clausify(14)]. 173.76/174.08 61 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 173.76/174.08 62 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 173.76/174.08 64 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 173.76/174.08 65 -greater(A,B) | -greater(C,A) | greater(C,B) # label(meaning_postulate_greater_transitive) # label(axiom). [clausify(1)]. 173.76/174.08 66 -smaller_or_equal(A,B) | B = A | smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(5)]. 173.76/174.08 69 has_endowment(c1) | -has_immunity(c1,A). [resolve(15,b,16,a)]. 173.76/174.08 70 -has_immunity(c1,A). [copy(69),unit_del(a,56)]. 173.76/174.08 74 age(c1,A) != zero | is_aligned(c1,A). [resolve(20,b,16,a)]. 173.76/174.08 80 dissimilar(c1,A,B) | is_aligned(c1,B) | -is_aligned(c1,A). [resolve(22,d,16,a)]. 173.76/174.08 86 has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(25,a,16,a)]. 173.76/174.08 87 is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [copy(86),unit_del(a,70)]. 173.76/174.08 90 has_immunity(c1,A) | positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(26,a,16,a)]. 173.76/174.08 91 positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod2. [copy(90),unit_del(a,70)]. 173.76/174.08 94 has_immunity(c1,A) | positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(27,a,16,a)]. 173.76/174.08 95 positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [copy(94),unit_del(a,70)]. 173.76/174.08 104 age(c1,A) != zero | -greater(age(c1,B),sigma) | dissimilar(c1,A,B). [resolve(30,b,16,a)]. 173.76/174.08 109 age(A,B) != zero | greater(age(A,C),sigma) | -dissimilar(A,B,C) | -dissimilar(A,D,E). [resolve(31,b,18,b)]. 173.76/174.08 110 -smaller_or_equal(age(c1,A),tau) | -positional_advantage(c1,A). [resolve(32,c,33,a)]. 173.76/174.08 113 -greater(age(c1,A),tau) | positional_advantage(c1,A). [resolve(36,c,33,a)]. 173.76/174.08 118 -greater(A,A). [factor(57,a,b)]. 173.76/174.08 121 age(A,B) != zero | greater(age(A,C),sigma) | -dissimilar(A,B,C). [factor(109,c,d)]. 173.76/174.08 135 smaller(zero,tau). [resolve(61,a,49,a)]. 173.76/174.08 139 smaller(mod2,high). [resolve(61,a,44,a)]. 173.76/174.08 140 smaller(mod1,mod2). [resolve(61,a,43,a)]. 173.76/174.08 143 greater(A,B) | A = B | greater(B,A). [resolve(62,b,55,c)]. 173.76/174.08 144 greater(tau,sigma). [resolve(62,b,48,a)]. 173.76/174.08 148 smaller_or_equal(sigma,tau). [resolve(64,b,48,a)]. 173.76/174.08 155 -greater(A,high) | greater(A,mod2). [resolve(65,a,44,a)]. 173.76/174.08 160 -greater(tau,A) | greater(age(c1,c5),A). [resolve(65,b,53,a)]. 173.76/174.08 170 age(c1,c3) = sigma | smaller(age(c1,c3),sigma). [resolve(66,a,51,a),flip(a)]. 173.76/174.08 171 is_aligned(c1,c2). [resolve(74,a,50,a)]. 173.76/174.08 174 age(c1,A) != zero | dissimilar(c1,A,c4). [resolve(104,b,54,a)]. 173.76/174.08 175 -positional_advantage(c1,c4). [resolve(110,a,52,a)]. 173.76/174.08 176 -smaller_or_equal(zero,tau) | -positional_advantage(c1,c2). [para(50(a,1),110(a,1))]. 173.76/174.08 177 positional_advantage(c1,c5). [resolve(113,a,53,a)]. 173.76/174.08 178 -smaller(A,A). [ur(62,a,118,a)]. 173.76/174.08 188 smaller_or_equal(zero,tau). [resolve(135,a,64,b)]. 173.76/174.08 189 -positional_advantage(c1,c2). [back_unit_del(176),unit_del(a,188)]. 173.76/174.08 204 is_aligned(c1,c4) | hazard_of_mortality(c1,c4) = high. [resolve(175,a,95,a)]. 173.76/174.08 206 -greater(sigma,A) | greater(tau,A). [resolve(144,a,65,b)]. 173.76/174.08 210 hazard_of_mortality(c1,c2) = mod2. [resolve(171,a,91,b),unit_del(a,189)]. 173.76/174.08 211 dissimilar(c1,c2,A) | is_aligned(c1,A). [resolve(171,a,80,c)]. 173.76/174.08 216 -smaller(hazard_of_mortality(c1,c3),hazard_of_mortality(c1,c4)) | hazard_of_mortality(c1,c3) != mod2 | -smaller(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)). [back_rewrite(60),rewrite([210(13)])]. 173.76/174.08 222 is_aligned(c1,c5) | hazard_of_mortality(c1,c5) = mod1. [resolve(177,a,87,b)]. 173.76/174.08 277 greater(A,mod2) | greater(high,A) | high = A. [resolve(155,a,143,c)]. 173.76/174.08 298 greater(age(c1,c5),sigma). [resolve(160,a,144,a)]. 173.76/174.08 303 age(c1,A) != zero | dissimilar(c1,A,c5). [resolve(298,a,104,b)]. 173.76/174.08 322 age(c1,c3) = sigma | greater(sigma,age(c1,c3)). [resolve(170,b,62,b)]. 173.76/174.08 326 is_aligned(c1,A) | greater(age(c1,A),sigma). [resolve(211,a,121,c),rewrite([50(5)]),xx(b)]. 173.76/174.08 341 dissimilar(c1,c2,c4). [resolve(174,a,50,a)]. 173.76/174.08 342 -is_aligned(c1,c4). [resolve(341,a,59,a),unit_del(b,171)]. 173.76/174.08 343 hazard_of_mortality(c1,c4) = high. [back_unit_del(204),unit_del(a,342)]. 173.76/174.08 344 -smaller(hazard_of_mortality(c1,c3),high) | hazard_of_mortality(c1,c3) != mod2 | -smaller(hazard_of_mortality(c1,c5),hazard_of_mortality(c1,c3)). [back_rewrite(216),rewrite([343(6)])]. 173.76/174.08 352 greater(age(c1,A),sigma) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(326,a,91,b)]. 173.76/174.08 479 greater(A,mod2) | high = A | smaller(A,high). [resolve(277,b,61,a)]. 173.76/174.08 567 dissimilar(c1,c2,c5). [resolve(303,a,50,a)]. 173.76/174.08 568 -is_aligned(c1,c5). [resolve(567,a,59,a),unit_del(b,171)]. 173.76/174.08 569 hazard_of_mortality(c1,c5) = mod1. [back_unit_del(222),unit_del(a,568)]. 173.76/174.08 572 -smaller(hazard_of_mortality(c1,c3),high) | hazard_of_mortality(c1,c3) != mod2 | -smaller(mod1,hazard_of_mortality(c1,c3)). [back_rewrite(344),rewrite([569(13)])]. 173.76/174.08 1374 age(c1,c3) = sigma | greater(tau,age(c1,c3)). [resolve(322,b,206,a)]. 173.76/174.08 1378 age(c1,c3) = sigma | -greater(age(c1,c3),sigma). [resolve(322,b,57,b)]. 173.76/174.08 1497 greater(hazard_of_mortality(c1,c3),mod2) | hazard_of_mortality(c1,c3) = high | hazard_of_mortality(c1,c3) != mod2 | -smaller(mod1,hazard_of_mortality(c1,c3)). [resolve(479,c,572,a),flip(b)]. 173.76/174.08 7343 age(c1,c3) = sigma | smaller(age(c1,c3),tau). [resolve(1374,b,61,a)]. 173.76/174.08 7351 age(c1,c3) = sigma | smaller_or_equal(age(c1,c3),tau). [resolve(7343,b,64,b)]. 173.76/174.08 7355 age(c1,c3) = sigma | -positional_advantage(c1,c3). [resolve(7351,b,110,a)]. 173.76/174.08 7362 age(c1,c3) = sigma | greater(age(c1,c3),sigma) | hazard_of_mortality(c1,c3) = mod2. [resolve(7355,b,352,b)]. 173.76/174.08 16517 age(c1,c3) = sigma | hazard_of_mortality(c1,c3) = mod2. [resolve(7362,b,1378,b),merge(c)]. 173.76/174.08 16520 age(c1,c3) = sigma | hazard_of_mortality(c1,c3) != mod2 | -smaller(mod1,hazard_of_mortality(c1,c3)). [para(16517(b,1),572(a,1)),unit_del(b,139)]. 173.76/174.08 21382 age(c1,c3) = sigma | hazard_of_mortality(c1,c3) != mod2. [para(16517(b,1),16520(c,2)),merge(b),unit_del(c,140)]. 173.76/174.08 21383 age(c1,c3) = sigma. [resolve(21382,b,16517,b),merge(b)]. 173.76/174.08 21385 -positional_advantage(c1,c3). [para(21383(a,1),110(a,1)),unit_del(a,148)]. 173.76/174.08 21390 hazard_of_mortality(c1,c3) = mod2. [resolve(21385,a,352,b),rewrite([21383(3)]),unit_del(a,118)]. 173.76/174.08 21393 high = mod2. [back_rewrite(1497),rewrite([21390(3),21390(6),21390(9),21390(13)]),flip(b),xx(c),unit_del(a,118),unit_del(c,140)]. 173.76/174.08 22542 $F. [back_rewrite(139),rewrite([21393(2)]),unit_del(a,178)]. 173.76/174.08 173.76/174.08 % SZS output end Refutation 173.76/174.08 ============================== end of proof ========================== 173.76/174.08 173.76/174.08 ============================== STATISTICS ============================ 173.76/174.08 173.76/174.08 Given=14100. Generated=13496440. Kept=22494. proofs=1. 173.76/174.08 Usable=7876. Sos=4036. Demods=7. Limbo=1149, Disabled=9531. Hints=0. 173.76/174.08 Megabytes=20.52. 173.76/174.08 User_CPU=165.83, System_CPU=7.20, Wall_clock=174. 173.76/174.08 173.76/174.08 ============================== end of statistics ===================== 173.76/174.08 173.76/174.08 ============================== end of search ========================= 173.76/174.08 173.76/174.08 THEOREM PROVED 173.76/174.08 % SZS status Theorem 173.76/174.08 173.76/174.08 Exiting with 1 proof. 173.76/174.08 173.76/174.08 Process 5798 exit (max_proofs) Thu Aug 29 11:17:47 2019 173.76/174.08 Prover9 interrupted 173.76/174.09 EOF