0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.34 % Computer : n023.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:27:58 EDT 2022 0.13/0.34 % CPUTime : 0.42/1.08 ============================== Prover9 =============================== 0.42/1.08 Prover9 (32) version 2009-11A, November 2009. 0.42/1.08 Process 19963 was started by sandbox on n023.cluster.edu, 0.42/1.08 Tue Aug 9 02:27:58 2022 0.42/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 960 -f /tmp/Prover9_19780_n023.cluster.edu". 0.42/1.08 ============================== end of head =========================== 0.42/1.08 0.42/1.08 ============================== INPUT ================================= 0.42/1.08 0.42/1.08 % Reading from file /tmp/Prover9_19780_n023.cluster.edu 0.42/1.08 0.42/1.08 set(prolog_style_variables). 0.42/1.08 set(auto2). 0.42/1.08 % set(auto2) -> set(auto). 0.42/1.08 % set(auto) -> set(auto_inference). 0.42/1.08 % set(auto) -> set(auto_setup). 0.42/1.08 % set(auto_setup) -> set(predicate_elim). 0.42/1.08 % set(auto_setup) -> assign(eq_defs, unfold). 0.42/1.08 % set(auto) -> set(auto_limits). 0.42/1.08 % set(auto_limits) -> assign(max_weight, "100.000"). 0.42/1.08 % set(auto_limits) -> assign(sos_limit, 20000). 0.42/1.08 % set(auto) -> set(auto_denials). 0.42/1.08 % set(auto) -> set(auto_process). 0.42/1.08 % set(auto2) -> assign(new_constants, 1). 0.42/1.08 % set(auto2) -> assign(fold_denial_max, 3). 0.42/1.08 % set(auto2) -> assign(max_weight, "200.000"). 0.42/1.08 % set(auto2) -> assign(max_hours, 1). 0.42/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.42/1.08 % set(auto2) -> assign(max_seconds, 0). 0.42/1.08 % set(auto2) -> assign(max_minutes, 5). 0.42/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.42/1.08 % set(auto2) -> set(sort_initial_sos). 0.42/1.08 % set(auto2) -> assign(sos_limit, -1). 0.42/1.08 % set(auto2) -> assign(lrs_ticks, 3000). 0.42/1.08 % set(auto2) -> assign(max_megs, 400). 0.42/1.08 % set(auto2) -> assign(stats, some). 0.42/1.08 % set(auto2) -> clear(echo_input). 0.42/1.08 % set(auto2) -> set(quiet). 0.42/1.08 % set(auto2) -> clear(print_initial_clauses). 0.42/1.08 % set(auto2) -> clear(print_given). 0.42/1.08 assign(lrs_ticks,-1). 0.42/1.08 assign(sos_limit,10000). 0.42/1.08 assign(order,kbo). 0.42/1.08 set(lex_order_vars). 0.42/1.08 clear(print_given). 0.42/1.08 0.42/1.08 % formulas(sos). % not echoed (18 formulas) 0.42/1.08 0.42/1.08 ============================== end of input ========================== 0.42/1.08 0.42/1.08 % From the command line: assign(max_seconds, 960). 0.42/1.08 0.42/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.42/1.08 0.42/1.08 % Formulas that are not ordinary clauses: 0.42/1.08 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]. 0.42/1.08 2 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.42/1.08 3 (all X all Y -(greater(Y,X) & greater(X,Y))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.42/1.08 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]. 0.42/1.08 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]. 0.42/1.08 6 (all X all Y (X = Y | greater(X,Y) | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.42/1.08 7 (all X (fragile_position(X) <-> (all T ((greater(age(X,T),sigma) -> -positional_advantage(X,T)) & (smaller_or_equal(age(X,T),sigma) -> positional_advantage(X,T)))))) # label(definition_3) # label(axiom) # label(non_clause). [assumption]. 0.42/1.08 8 (all X all T0 all T (organization(X) & zero = age(X,T0) -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.42/1.08 9 (all X all T (organization(X) -> (-has_immunity(X,T) -> (positional_advantage(X,T) & is_aligned(X,T) -> hazard_of_mortality(X,T) = low) & (-positional_advantage(X,T) & is_aligned(X,T) -> hazard_of_mortality(X,T) = mod2) & (-positional_advantage(X,T) & -is_aligned(X,T) -> hazard_of_mortality(X,T) = high) & (-is_aligned(X,T) & positional_advantage(X,T) -> hazard_of_mortality(X,T) = mod1)) & (has_immunity(X,T) -> very_low = hazard_of_mortality(X,T)))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 0.42/1.08 10 (all X all T0 all T (dissimilar(X,T0,T) <-> organization(X) & -(is_aligned(X,T) <-> is_aligned(X,T0)))) # label(definition_2) # label(axiom) # label(non_clause). [assumption]. 0.42/1.08 11 (all X all T (-has_endowment(X) & organization(X) -> -has_immunity(X,T))) # label(assumption_1) # label(axiom) # label(non_clause). [assumption]. 0.42/1.08 12 (all X all T (age(X,T) = zero & organization(X) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.42/1.08 13 -(all X all T0 all T1 all T2 (zero = age(X,T0) & greater(age(X,T2),sigma) & smaller_or_equal(age(X,T1),sigma) & greater(sigma,zero) & -has_endowment(X) & fragile_position(X) & organization(X) -> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) & greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)))) # label(theorem_7) # label(negated_conjecture) # label(non_clause). [assumption]. 0.42/1.08 0.42/1.08 ============================== end of process non-clausal formulas === 0.42/1.08 0.42/1.08 ============================== PROCESS INITIAL CLAUSES =============== 0.42/1.08 0.42/1.08 ============================== PREDICATE ELIMINATION ================= 0.42/1.08 14 -fragile_position(A) | -greater(age(A,B),sigma) | -positional_advantage(A,B) # label(definition_3) # label(axiom). [clausify(7)]. 0.42/1.08 15 fragile_position(c1) # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.42/1.08 16 fragile_position(A) | positional_advantage(A,f1(A)) | smaller_or_equal(age(A,f1(A)),sigma) # label(definition_3) # label(axiom). [clausify(7)]. 0.42/1.08 17 fragile_position(A) | greater(age(A,f1(A)),sigma) | smaller_or_equal(age(A,f1(A)),sigma) # label(definition_3) # label(axiom). [clausify(7)]. 0.42/1.08 Derived: -greater(age(c1,A),sigma) | -positional_advantage(c1,A). [resolve(14,a,15,a)]. 0.42/1.08 Derived: -greater(age(A,B),sigma) | -positional_advantage(A,B) | positional_advantage(A,f1(A)) | smaller_or_equal(age(A,f1(A)),sigma). [resolve(14,a,16,a)]. 0.42/1.08 Derived: -greater(age(A,B),sigma) | -positional_advantage(A,B) | greater(age(A,f1(A)),sigma) | smaller_or_equal(age(A,f1(A)),sigma). [resolve(14,a,17,a)]. 0.42/1.08 18 -fragile_position(A) | -smaller_or_equal(age(A,B),sigma) | positional_advantage(A,B) # label(definition_3) # label(axiom). [clausify(7)]. 0.42/1.08 Derived: -smaller_or_equal(age(c1,A),sigma) | positional_advantage(c1,A). [resolve(18,a,15,a)]. 0.42/1.08 Derived: -smaller_or_equal(age(A,B),sigma) | positional_advantage(A,B) | positional_advantage(A,f1(A)) | smaller_or_equal(age(A,f1(A)),sigma). [resolve(18,a,16,a)]. 0.42/1.08 Derived: -smaller_or_equal(age(A,B),sigma) | positional_advantage(A,B) | greater(age(A,f1(A)),sigma) | smaller_or_equal(age(A,f1(A)),sigma). [resolve(18,a,17,a)]. 0.42/1.08 19 fragile_position(A) | greater(age(A,f1(A)),sigma) | -positional_advantage(A,f1(A)) # label(definition_3) # label(axiom). [clausify(7)]. 0.42/1.08 Derived: greater(age(A,f1(A)),sigma) | -positional_advantage(A,f1(A)) | -greater(age(A,B),sigma) | -positional_advantage(A,B). [resolve(19,a,14,a)]. 0.42/1.08 Derived: greater(age(A,f1(A)),sigma) | -positional_advantage(A,f1(A)) | -smaller_or_equal(age(A,B),sigma) | positional_advantage(A,B). [resolve(19,a,18,a)]. 0.42/1.08 20 has_endowment(A) | -organization(A) | -has_immunity(A,B) # label(assumption_1) # label(axiom). [clausify(11)]. 0.42/1.08 21 organization(c1) # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.42/1.08 22 -dissimilar(A,B,C) | organization(A) # label(definition_2) # label(axiom). [clausify(10)]. 0.42/1.08 Derived: has_endowment(c1) | -has_immunity(c1,A). [resolve(20,b,21,a)]. 0.42/1.08 Derived: has_endowment(A) | -has_immunity(A,B) | -dissimilar(A,C,D). [resolve(20,b,22,b)]. 0.42/1.08 23 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17) # label(axiom). [clausify(9)]. 0.42/1.08 Derived: -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(23,a,21,a)]. 0.42/1.08 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -dissimilar(A,C,D). [resolve(23,a,22,b)]. 0.42/1.08 24 age(A,B) != zero | -organization(A) | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(12)]. 0.42/1.08 Derived: age(c1,A) != zero | is_aligned(c1,A). [resolve(24,b,21,a)]. 0.42/1.08 Derived: age(A,B) != zero | is_aligned(A,B) | -dissimilar(A,C,D). [resolve(24,b,22,b)]. 0.42/1.08 25 dissimilar(A,B,C) | -organization(A) | -is_aligned(A,C) | is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(10)]. 0.42/1.08 Derived: dissimilar(c1,A,B) | -is_aligned(c1,B) | is_aligned(c1,A). [resolve(25,b,21,a)]. 0.42/1.08 Derived: dissimilar(A,B,C) | -is_aligned(A,C) | is_aligned(A,B) | -dissimilar(A,D,E). [resolve(25,b,22,b)]. 0.42/1.08 26 dissimilar(A,B,C) | -organization(A) | is_aligned(A,C) | -is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(10)]. 0.42/1.08 Derived: dissimilar(c1,A,B) | is_aligned(c1,B) | -is_aligned(c1,A). [resolve(26,b,21,a)]. 0.42/1.08 Derived: dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -dissimilar(A,D,E). [resolve(26,b,22,b)]. 0.42/1.08 27 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(8)]. 0.42/1.08 Derived: age(c1,A) != zero | -dissimilar(c1,A,B) | greater(age(c1,B),sigma). [resolve(27,a,21,a)]. 0.42/1.08 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(27,a,22,b)]. 0.42/1.08 28 -organization(A) | age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(8)]. 0.42/1.08 Derived: age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(28,a,21,a)]. 0.42/1.08 Derived: age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(28,a,22,b)]. 0.42/1.08 29 -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(9)]. 0.42/1.08 Derived: has_immunity(c1,A) | -positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(29,a,21,a)]. 0.42/1.08 Derived: has_immunity(A,B) | -positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = low | -dissimilar(A,C,D). [resolve(29,a,22,b)]. 0.42/1.08 30 -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)]. 0.42/1.08 Derived: has_immunity(c1,A) | positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(30,a,21,a)]. 0.42/1.08 Derived: has_immunity(A,B) | positional_advantage(A,B) | -is_aligned(A,B) | hazard_of_mortality(A,B) = mod2 | -dissimilar(A,C,D). [resolve(30,a,22,b)]. 0.42/1.08 31 -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(9)]. 0.42/1.08 Derived: has_immunity(c1,A) | positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(31,a,21,a)]. 0.42/1.08 Derived: has_immunity(A,B) | positional_advantage(A,B) | is_aligned(A,B) | hazard_of_mortality(A,B) = high | -dissimilar(A,C,D). [resolve(31,a,22,b)]. 0.42/1.08 32 -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)]. 0.42/1.08 Derived: has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(32,a,21,a)]. 0.42/1.08 Derived: has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 | -dissimilar(A,C,D). [resolve(32,a,22,b)]. 0.42/1.08 33 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.42/1.08 34 A = B | greater(B,A) | smaller(B,A) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(6)]. 0.42/1.08 Derived: smaller_or_equal(A,B) | B = A | greater(A,B). [resolve(33,a,34,c)]. 0.42/1.08 35 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.42/1.08 Derived: -greater(A,B) | smaller_or_equal(B,A). [resolve(35,b,33,a)]. 0.42/1.08 36 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.42/1.08 Derived: greater(A,B) | A = B | greater(B,A). [resolve(36,b,34,c)]. 0.42/1.08 37 smaller(A,B) | B = A | -smaller_or_equal(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.42/1.08 Derived: A = B | -smaller_or_equal(B,A) | greater(A,B). [resolve(37,a,36,b)]. 0.42/1.08 38 greater(A,B) | B = A | -greater_or_equal(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 0.42/1.08 39 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 0.81/1.10 40 A != B | greater_or_equal(B,A) # label(definition_greater_or_equal) # label(axiom). [clausify(4)]. 0.81/1.10 0.81/1.10 ============================== end predicate elimination ============= 0.81/1.10 0.81/1.10 Auto_denials: (non-Horn, no changes). 0.81/1.10 0.81/1.10 Term ordering decisions: 0.81/1.10 0.81/1.10 % Assigning unary symbol f1 kb_weight 0 and highest precedence (22). 0.81/1.10 Function symbol KB weights: sigma=1. zero=1. low=1. high=1. mod1=1. mod2=1. very_low=1. c1=1. c2=1. c3=1. c4=1. age=1. hazard_of_mortality=1. f1=0. 0.81/1.10 0.81/1.10 ============================== end of process initial clauses ======== 0.81/1.10 0.81/1.10 ============================== CLAUSES FOR SEARCH ==================== 0.81/1.10 0.81/1.10 ============================== end of clauses for search ============= 0.81/1.10 0.81/1.10 ============================== SEARCH ================================ 0.81/1.10 0.81/1.10 % Starting search at 0.02 seconds. 0.81/1.10 0.81/1.10 ============================== PROOF ================================= 0.81/1.10 % SZS status Theorem 0.81/1.10 % SZS output start Refutation 0.81/1.10 0.81/1.10 % Proof 1 at 0.03 (+ 0.00) seconds. 0.81/1.10 % Length of proof is 82. 0.81/1.10 % Level of proof is 9. 0.81/1.10 % Maximum clause weight is 21.000. 0.81/1.10 % Given clauses 126. 0.81/1.10 0.81/1.10 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]. 0.81/1.10 2 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.81/1.10 3 (all X all Y -(greater(Y,X) & greater(X,Y))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.81/1.10 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]. 0.81/1.10 6 (all X all Y (X = Y | greater(X,Y) | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.81/1.10 7 (all X (fragile_position(X) <-> (all T ((greater(age(X,T),sigma) -> -positional_advantage(X,T)) & (smaller_or_equal(age(X,T),sigma) -> positional_advantage(X,T)))))) # label(definition_3) # label(axiom) # label(non_clause). [assumption]. 0.81/1.10 8 (all X all T0 all T (organization(X) & zero = age(X,T0) -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.81/1.10 9 (all X all T (organization(X) -> (-has_immunity(X,T) -> (positional_advantage(X,T) & is_aligned(X,T) -> hazard_of_mortality(X,T) = low) & (-positional_advantage(X,T) & is_aligned(X,T) -> hazard_of_mortality(X,T) = mod2) & (-positional_advantage(X,T) & -is_aligned(X,T) -> hazard_of_mortality(X,T) = high) & (-is_aligned(X,T) & positional_advantage(X,T) -> hazard_of_mortality(X,T) = mod1)) & (has_immunity(X,T) -> very_low = hazard_of_mortality(X,T)))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 0.81/1.10 10 (all X all T0 all T (dissimilar(X,T0,T) <-> organization(X) & -(is_aligned(X,T) <-> is_aligned(X,T0)))) # label(definition_2) # label(axiom) # label(non_clause). [assumption]. 0.81/1.10 11 (all X all T (-has_endowment(X) & organization(X) -> -has_immunity(X,T))) # label(assumption_1) # label(axiom) # label(non_clause). [assumption]. 0.81/1.10 12 (all X all T (age(X,T) = zero & organization(X) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.81/1.10 13 -(all X all T0 all T1 all T2 (zero = age(X,T0) & greater(age(X,T2),sigma) & smaller_or_equal(age(X,T1),sigma) & greater(sigma,zero) & -has_endowment(X) & fragile_position(X) & organization(X) -> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) & greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)))) # label(theorem_7) # label(negated_conjecture) # label(non_clause). [assumption]. 0.81/1.10 14 -fragile_position(A) | -greater(age(A,B),sigma) | -positional_advantage(A,B) # label(definition_3) # label(axiom). [clausify(7)]. 0.81/1.10 15 fragile_position(c1) # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.81/1.10 18 -fragile_position(A) | -smaller_or_equal(age(A,B),sigma) | positional_advantage(A,B) # label(definition_3) # label(axiom). [clausify(7)]. 0.81/1.10 20 has_endowment(A) | -organization(A) | -has_immunity(A,B) # label(assumption_1) # label(axiom). [clausify(11)]. 0.81/1.10 21 organization(c1) # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.81/1.10 22 -dissimilar(A,B,C) | organization(A) # label(definition_2) # label(axiom). [clausify(10)]. 0.81/1.10 24 age(A,B) != zero | -organization(A) | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(12)]. 0.81/1.10 26 dissimilar(A,B,C) | -organization(A) | is_aligned(A,C) | -is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(10)]. 0.81/1.10 27 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(8)]. 0.81/1.10 28 -organization(A) | age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(8)]. 0.81/1.10 29 -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(9)]. 0.81/1.10 31 -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(9)]. 0.81/1.10 33 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.81/1.10 34 A = B | greater(B,A) | smaller(B,A) # label(meaning_postulate_greater_comparable) # label(axiom). [clausify(6)]. 0.81/1.10 35 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.81/1.10 36 greater(A,B) | -smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(2)]. 0.81/1.10 42 greater(high,mod2) # label(assumption_18d) # label(axiom). [assumption]. 0.81/1.10 45 greater(mod2,low) # label(assumption_18e) # label(axiom). [assumption]. 0.81/1.10 46 greater(sigma,zero) # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.81/1.10 47 age(c1,c2) = zero # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.81/1.10 48 greater(age(c1,c4),sigma) # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.81/1.10 49 smaller_or_equal(age(c1,c3),sigma) # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.81/1.10 50 -has_endowment(c1) # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.81/1.10 51 -greater(A,B) | -greater(B,A) # label(meaning_postulate_greater_strict) # label(axiom). [clausify(3)]. 0.81/1.10 52 -dissimilar(A,B,C) | -is_aligned(A,C) | -is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(10)]. 0.81/1.10 53 hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2) | -greater(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c3)) # label(theorem_7) # label(negated_conjecture). [clausify(13)]. 0.81/1.10 55 -greater(A,B) | -greater(B,C) | greater(A,C) # label(meaning_postulate_greater_transitive) # label(axiom). [clausify(5)]. 0.81/1.10 57 -greater(age(c1,A),sigma) | -positional_advantage(c1,A). [resolve(14,a,15,a)]. 0.81/1.10 60 -smaller_or_equal(age(c1,A),sigma) | positional_advantage(c1,A). [resolve(18,a,15,a)]. 0.81/1.10 65 has_endowment(c1) | -has_immunity(c1,A). [resolve(20,b,21,a)]. 0.81/1.10 66 -has_immunity(c1,A). [copy(65),unit_del(a,50)]. 0.81/1.10 69 age(c1,A) != zero | is_aligned(c1,A). [resolve(24,b,21,a)]. 0.81/1.10 73 dissimilar(c1,A,B) | is_aligned(c1,B) | -is_aligned(c1,A). [resolve(26,b,21,a)]. 0.81/1.10 76 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(27,a,22,b)]. 0.81/1.10 77 age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(28,a,21,a)]. 0.81/1.10 79 has_immunity(c1,A) | -positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(29,a,21,a)]. 0.81/1.10 80 -positional_advantage(c1,A) | -is_aligned(c1,A) | hazard_of_mortality(c1,A) = low. [copy(79),unit_del(a,66)]. 0.81/1.10 85 has_immunity(c1,A) | positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(31,a,21,a)]. 0.81/1.10 86 positional_advantage(c1,A) | is_aligned(c1,A) | hazard_of_mortality(c1,A) = high. [copy(85),unit_del(a,66)]. 0.81/1.10 92 -greater(A,B) | smaller_or_equal(B,A). [resolve(35,b,33,a)]. 0.81/1.10 93 greater(A,B) | A = B | greater(B,A). [resolve(36,b,34,c)]. 0.81/1.10 95 -greater(A,A). [factor(51,a,b)]. 0.81/1.10 98 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma). [factor(76,b,d)]. 0.81/1.10 101 -greater(low,mod2). [resolve(51,a,45,a)]. 0.81/1.10 113 -greater(mod2,A) | greater(high,A). [resolve(55,a,42,a)]. 0.81/1.10 122 -positional_advantage(c1,c4). [ur(57,a,48,a)]. 0.81/1.10 123 positional_advantage(c1,c3). [resolve(60,a,49,a)]. 0.81/1.10 124 -smaller_or_equal(zero,sigma) | positional_advantage(c1,c2). [para(47(a,1),60(a,1))]. 0.81/1.10 125 is_aligned(c1,c2). [resolve(69,a,47,a)]. 0.81/1.10 126 age(c1,A) != zero | dissimilar(c1,A,c4). [resolve(77,c,48,a)]. 0.81/1.10 138 smaller_or_equal(zero,sigma). [resolve(92,a,46,a)]. 0.81/1.10 144 positional_advantage(c1,c2). [back_unit_del(124),unit_del(a,138)]. 0.81/1.10 148 hazard_of_mortality(c1,c4) = hazard_of_mortality(c1,c3) | greater(hazard_of_mortality(c1,c3),hazard_of_mortality(c1,c4)) | hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2). [resolve(93,a,53,b)]. 0.81/1.10 154 -greater(low,high). [ur(55,b,42,a,c,101,a)]. 0.81/1.10 158 -is_aligned(c1,c3) | hazard_of_mortality(c1,c3) = low. [resolve(123,a,80,a)]. 0.81/1.10 162 -greater(age(c1,c3),sigma). [resolve(123,a,57,b)]. 0.81/1.10 163 dissimilar(c1,c2,A) | is_aligned(c1,A). [resolve(125,a,73,c)]. 0.81/1.10 166 is_aligned(c1,c4) | hazard_of_mortality(c1,c4) = high. [resolve(122,a,86,a)]. 0.81/1.10 175 hazard_of_mortality(c1,c2) = low. [resolve(144,a,80,a),unit_del(a,125)]. 0.81/1.10 176 hazard_of_mortality(c1,c4) = hazard_of_mortality(c1,c3) | greater(hazard_of_mortality(c1,c3),hazard_of_mortality(c1,c4)) | hazard_of_mortality(c1,c3) != low. [back_rewrite(148),rewrite([175(20)])]. 0.81/1.10 182 -dissimilar(c1,c2,c3). [ur(98,a,47,a,c,162,a)]. 0.81/1.10 199 greater(high,low). [resolve(113,a,45,a)]. 0.81/1.10 216 dissimilar(c1,c2,c4). [resolve(126,a,47,a)]. 0.81/1.10 217 -is_aligned(c1,c4). [resolve(216,a,52,a),unit_del(b,125)]. 0.81/1.10 218 hazard_of_mortality(c1,c4) = high. [back_unit_del(166),unit_del(a,217)]. 0.81/1.10 220 hazard_of_mortality(c1,c3) = high | greater(hazard_of_mortality(c1,c3),high) | hazard_of_mortality(c1,c3) != low. [back_rewrite(176),rewrite([218(3),218(11)]),flip(a)]. 0.81/1.10 234 is_aligned(c1,c3). [resolve(163,a,182,a)]. 0.81/1.10 236 hazard_of_mortality(c1,c3) = low. [back_unit_del(158),unit_del(a,234)]. 0.81/1.10 237 high = low. [back_rewrite(220),rewrite([236(3),236(6),236(9)]),flip(a),xx(c),unit_del(b,154)]. 0.81/1.10 246 $F. [back_rewrite(199),rewrite([237(1)]),unit_del(a,95)]. 0.81/1.10 0.81/1.10 % SZS output end Refutation 0.81/1.10 ============================== end of proof ========================== 0.81/1.10 0.81/1.10 ============================== STATISTICS ============================ 0.81/1.10 0.81/1.10 Given=126. Generated=503. Kept=200. proofs=1. 0.81/1.10 Usable=115. Sos=33. Demods=5. Limbo=9, Disabled=120. Hints=0. 0.81/1.10 Megabytes=0.25. 0.81/1.10 User_CPU=0.03, System_CPU=0.00, Wall_clock=0. 0.81/1.10 0.81/1.10 ============================== end of statistics ===================== 0.81/1.10 0.81/1.10 ============================== end of search ========================= 0.81/1.10 0.81/1.10 THEOREM PROVED 0.81/1.10 % SZS status Theorem 0.81/1.10 0.81/1.10 Exiting with 1 proof. 0.81/1.10 0.81/1.10 Process 19963 exit (max_proofs) Tue Aug 9 02:27:58 2022 0.81/1.10 Prover9 interrupted 0.81/1.10 EOF