0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.34 % Computer : n019.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 : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 04:23:05 EDT 2023 0.13/0.34 % CPUTime : 0.45/1.00 ============================== Prover9 =============================== 0.45/1.00 Prover9 (32) version 2009-11A, November 2009. 0.45/1.00 Process 5274 was started by sandbox2 on n019.cluster.edu, 0.45/1.00 Mon Jul 3 04:23:05 2023 0.45/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_4865_n019.cluster.edu". 0.45/1.00 ============================== end of head =========================== 0.45/1.00 0.45/1.00 ============================== INPUT ================================= 0.45/1.00 0.45/1.00 % Reading from file /tmp/Prover9_4865_n019.cluster.edu 0.45/1.00 0.45/1.00 set(prolog_style_variables). 0.45/1.00 set(auto2). 0.45/1.00 % set(auto2) -> set(auto). 0.45/1.00 % set(auto) -> set(auto_inference). 0.45/1.00 % set(auto) -> set(auto_setup). 0.45/1.00 % set(auto_setup) -> set(predicate_elim). 0.45/1.00 % set(auto_setup) -> assign(eq_defs, unfold). 0.45/1.00 % set(auto) -> set(auto_limits). 0.45/1.00 % set(auto_limits) -> assign(max_weight, "100.000"). 0.45/1.00 % set(auto_limits) -> assign(sos_limit, 20000). 0.45/1.00 % set(auto) -> set(auto_denials). 0.45/1.00 % set(auto) -> set(auto_process). 0.45/1.00 % set(auto2) -> assign(new_constants, 1). 0.45/1.00 % set(auto2) -> assign(fold_denial_max, 3). 0.45/1.00 % set(auto2) -> assign(max_weight, "200.000"). 0.45/1.00 % set(auto2) -> assign(max_hours, 1). 0.45/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.45/1.00 % set(auto2) -> assign(max_seconds, 0). 0.45/1.00 % set(auto2) -> assign(max_minutes, 5). 0.45/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.45/1.00 % set(auto2) -> set(sort_initial_sos). 0.45/1.00 % set(auto2) -> assign(sos_limit, -1). 0.45/1.00 % set(auto2) -> assign(lrs_ticks, 3000). 0.45/1.00 % set(auto2) -> assign(max_megs, 400). 0.45/1.00 % set(auto2) -> assign(stats, some). 0.45/1.00 % set(auto2) -> clear(echo_input). 0.45/1.00 % set(auto2) -> set(quiet). 0.45/1.00 % set(auto2) -> clear(print_initial_clauses). 0.45/1.00 % set(auto2) -> clear(print_given). 0.45/1.00 assign(lrs_ticks,-1). 0.45/1.00 assign(sos_limit,10000). 0.45/1.00 assign(order,kbo). 0.45/1.00 set(lex_order_vars). 0.45/1.00 clear(print_given). 0.45/1.00 0.45/1.00 % formulas(sos). % not echoed (14 formulas) 0.45/1.00 0.45/1.00 ============================== end of input ========================== 0.45/1.00 0.45/1.00 % From the command line: assign(max_seconds, 1440). 0.45/1.00 0.45/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.45/1.00 0.45/1.00 % Formulas that are not ordinary clauses: 0.45/1.00 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]. 0.45/1.00 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]. 0.45/1.00 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]. 0.45/1.00 4 (all X all Y -(greater(X,Y) & greater(Y,X))) # label(meaning_postulate_greater_strict) # label(axiom) # label(non_clause). [assumption]. 0.45/1.00 5 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.45/1.00 6 (all X all Y (greater(X,Y) | X = Y | smaller(X,Y))) # label(meaning_postulate_greater_comparable) # label(axiom) # label(non_clause). [assumption]. 0.45/1.00 7 (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]. 0.45/1.00 8 (all X all T (age(X,T) = zero & organization(X) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.45/1.00 9 (all X all T (organization(X) & -has_endowment(X) -> -has_immunity(X,T))) # label(assumption_1) # label(axiom) # label(non_clause). [assumption]. 0.45/1.00 10 (all X all T0 all T (zero = age(X,T0) & organization(X) -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.45/1.00 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]. 0.45/1.00 12 (all X all T (organization(X) -> (has_immunity(X,T) -> very_low = hazard_of_mortality(X,T)) & (-has_immunity(X,T) -> (is_aligned(X,T) & positional_advantage(X,T) -> hazard_of_mortality(X,T) = low) & (-is_aligned(X,T) & positional_advantage(X,T) -> mod1 = hazard_of_mortality(X,T)) & (is_aligned(X,T) & -positional_advantage(X,T) -> mod2 = hazard_of_mortality(X,T)) & (-is_aligned(X,T) & -positional_advantage(X,T) -> hazard_of_mortality(X,T) = high)))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 0.45/1.00 13 -(all X all T0 all T1 all T2 (organization(X) & -has_endowment(X) & age(X,T0) = zero & greater(sigma,zero) & greater(tau,zero) & sigma = tau & smaller_or_equal(age(X,T1),sigma) & greater(age(X,T2),sigma) & robust_position(X) -> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) & smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)))) # label(theorem_8) # label(negated_conjecture) # label(non_clause). [assumption]. 0.45/1.00 0.45/1.00 ============================== end of process non-clausal formulas === 0.45/1.00 0.45/1.00 ============================== PROCESS INITIAL CLAUSES =============== 0.45/1.00 0.45/1.00 ============================== PREDICATE ELIMINATION ================= 0.45/1.00 14 -organization(A) | has_endowment(A) | -has_immunity(A,B) # label(assumption_1) # label(axiom). [clausify(9)]. 0.45/1.00 15 organization(c1) # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.00 16 -dissimilar(A,B,C) | organization(A) # label(definition_2) # label(axiom). [clausify(7)]. 0.45/1.00 Derived: has_endowment(c1) | -has_immunity(c1,A). [resolve(14,a,15,a)]. 0.45/1.00 Derived: has_endowment(A) | -has_immunity(A,B) | -dissimilar(A,C,D). [resolve(14,a,16,b)]. 0.45/1.00 17 age(A,B) != zero | -organization(A) | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(8)]. 0.45/1.00 Derived: age(c1,A) != zero | is_aligned(c1,A). [resolve(17,b,15,a)]. 0.45/1.00 Derived: age(A,B) != zero | is_aligned(A,B) | -dissimilar(A,C,D). [resolve(17,b,16,b)]. 0.45/1.00 18 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17) # label(axiom). [clausify(12)]. 0.45/1.00 Derived: -has_immunity(c1,A) | hazard_of_mortality(c1,A) = very_low. [resolve(18,a,15,a)]. 0.45/1.00 Derived: -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low | -dissimilar(A,C,D). [resolve(18,a,16,b)]. 0.45/1.00 19 dissimilar(A,B,C) | -organization(A) | -is_aligned(A,C) | is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(7)]. 0.45/1.00 Derived: dissimilar(c1,A,B) | -is_aligned(c1,B) | is_aligned(c1,A). [resolve(19,b,15,a)]. 0.45/1.00 Derived: dissimilar(A,B,C) | -is_aligned(A,C) | is_aligned(A,B) | -dissimilar(A,D,E). [resolve(19,b,16,b)]. 0.45/1.00 20 dissimilar(A,B,C) | -organization(A) | is_aligned(A,C) | -is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(7)]. 0.45/1.00 Derived: dissimilar(c1,A,B) | is_aligned(c1,B) | -is_aligned(c1,A). [resolve(20,b,15,a)]. 0.45/1.00 Derived: dissimilar(A,B,C) | is_aligned(A,C) | -is_aligned(A,B) | -dissimilar(A,D,E). [resolve(20,b,16,b)]. 0.45/1.00 21 age(A,B) != zero | -organization(A) | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(10)]. 0.45/1.00 Derived: age(c1,A) != zero | -dissimilar(c1,A,B) | greater(age(c1,B),sigma). [resolve(21,b,15,a)]. 0.45/1.00 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(21,b,16,b)]. 0.45/1.00 22 age(A,B) != zero | -organization(A) | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(10)]. 0.45/1.00 Derived: age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(22,b,15,a)]. 0.45/1.00 Derived: age(A,B) != zero | dissimilar(A,B,C) | -greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(22,b,16,b)]. 0.45/1.00 23 -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(12)]. 0.45/1.00 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = low. [resolve(23,a,15,a)]. 0.45/1.00 Derived: has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low | -dissimilar(A,C,D). [resolve(23,a,16,b)]. 0.45/1.00 24 -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(12)]. 0.45/1.01 Derived: has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(24,a,15,a)]. 0.45/1.01 Derived: has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 | -dissimilar(A,C,D). [resolve(24,a,16,b)]. 0.45/1.01 25 -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(12)]. 0.45/1.01 Derived: has_immunity(c1,A) | -is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(25,a,15,a)]. 0.45/1.01 Derived: has_immunity(A,B) | -is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = mod2 | -dissimilar(A,C,D). [resolve(25,a,16,b)]. 0.45/1.01 26 -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(12)]. 0.45/1.01 Derived: has_immunity(c1,A) | is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = high. [resolve(26,a,15,a)]. 0.45/1.01 Derived: has_immunity(A,B) | is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = high | -dissimilar(A,C,D). [resolve(26,a,16,b)]. 0.45/1.01 27 -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 0.45/1.01 28 robust_position(c1) # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.01 29 greater(age(A,f1(A)),tau) | positional_advantage(A,f1(A)) | robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 0.45/1.01 30 greater(age(A,f1(A)),tau) | smaller_or_equal(age(A,f1(A)),tau) | robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 0.45/1.01 Derived: -smaller_or_equal(age(c1,A),tau) | -positional_advantage(c1,A). [resolve(27,c,28,a)]. 0.45/1.01 Derived: -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | greater(age(A,f1(A)),tau) | positional_advantage(A,f1(A)). [resolve(27,c,29,c)]. 0.45/1.01 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(27,c,30,c)]. 0.45/1.01 31 -greater(age(A,B),tau) | positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 0.45/1.01 Derived: -greater(age(c1,A),tau) | positional_advantage(c1,A). [resolve(31,c,28,a)]. 0.45/1.01 Derived: -greater(age(A,B),tau) | positional_advantage(A,B) | greater(age(A,f1(A)),tau) | positional_advantage(A,f1(A)). [resolve(31,c,29,c)]. 0.45/1.01 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(31,c,30,c)]. 0.45/1.01 32 -positional_advantage(A,f1(A)) | smaller_or_equal(age(A,f1(A)),tau) | robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 0.45/1.01 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(32,c,27,c)]. 0.45/1.01 Derived: -positional_advantage(A,f1(A)) | smaller_or_equal(age(A,f1(A)),tau) | -greater(age(A,B),tau) | positional_advantage(A,B). [resolve(32,c,31,c)]. 0.45/1.01 33 -greater_or_equal(A,B) | greater(A,B) | B = A # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 0.45/1.01 34 greater_or_equal(A,B) | -greater(A,B) # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 0.45/1.01 35 greater_or_equal(A,B) | B != A # label(definition_greater_or_equal) # label(axiom). [clausify(2)]. 0.45/1.01 0.45/1.01 ============================== end predicate elimination ============= 0.45/1.01 0.45/1.01 Auto_denials: (non-Horn, no changes). 0.45/1.01 0.45/1.01 Term ordering decisions: 0.45/1.01 0.45/1.01 % Assigning unary symbol f1 kb_weight 0 and highest precedence (24). 0.45/1.01 Function symbol KB weights: tau=1. zero=1. sigma=1. mod1=1. mod2=1. high=1. low=1. very_low=1. c1=1. c2=1. c3=1. c4=1. age=1. hazard_of_mortality=1. f1=0. 0.45/1.01 0.45/1.01 ============================== end of process initial clauses ======== 0.45/1.01 0.45/1.01 ============================== CLAUSES FOR SEARCH ==================== 0.45/1.01 0.45/1.01 ============================== end of clauses for search ============= 0.45/1.01 0.45/1.01 ============================== SEARCH ================================ 0.45/1.01 0.45/1.01 % Starting search at 0.02 seconds. 0.45/1.02 0.45/1.02 ============================== PROOF ================================= 0.45/1.02 % SZS status Theorem 0.45/1.02 % SZS output start Refutation 0.45/1.02 0.45/1.02 % Proof 1 at 0.03 (+ 0.00) seconds. 0.45/1.02 % Length of proof is 72. 0.45/1.02 % Level of proof is 11. 0.45/1.02 % Maximum clause weight is 18.000. 0.45/1.02 % Given clauses 106. 0.45/1.02 0.45/1.02 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]. 0.45/1.02 5 (all X all Y (greater(Y,X) <-> smaller(X,Y))) # label(definition_smaller) # label(axiom) # label(non_clause). [assumption]. 0.45/1.02 7 (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]. 0.45/1.02 8 (all X all T (age(X,T) = zero & organization(X) -> is_aligned(X,T))) # label(assumption_13) # label(axiom) # label(non_clause). [assumption]. 0.45/1.02 9 (all X all T (organization(X) & -has_endowment(X) -> -has_immunity(X,T))) # label(assumption_1) # label(axiom) # label(non_clause). [assumption]. 0.45/1.02 10 (all X all T0 all T (zero = age(X,T0) & organization(X) -> (dissimilar(X,T0,T) <-> greater(age(X,T),sigma)))) # label(assumption_15) # label(axiom) # label(non_clause). [assumption]. 0.45/1.02 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]. 0.45/1.02 12 (all X all T (organization(X) -> (has_immunity(X,T) -> very_low = hazard_of_mortality(X,T)) & (-has_immunity(X,T) -> (is_aligned(X,T) & positional_advantage(X,T) -> hazard_of_mortality(X,T) = low) & (-is_aligned(X,T) & positional_advantage(X,T) -> mod1 = hazard_of_mortality(X,T)) & (is_aligned(X,T) & -positional_advantage(X,T) -> mod2 = hazard_of_mortality(X,T)) & (-is_aligned(X,T) & -positional_advantage(X,T) -> hazard_of_mortality(X,T) = high)))) # label(assumption_17) # label(axiom) # label(non_clause). [assumption]. 0.45/1.02 13 -(all X all T0 all T1 all T2 (organization(X) & -has_endowment(X) & age(X,T0) = zero & greater(sigma,zero) & greater(tau,zero) & sigma = tau & smaller_or_equal(age(X,T1),sigma) & greater(age(X,T2),sigma) & robust_position(X) -> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) & smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)))) # label(theorem_8) # label(negated_conjecture) # label(non_clause). [assumption]. 0.45/1.02 14 -organization(A) | has_endowment(A) | -has_immunity(A,B) # label(assumption_1) # label(axiom). [clausify(9)]. 0.45/1.02 15 organization(c1) # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.02 16 -dissimilar(A,B,C) | organization(A) # label(definition_2) # label(axiom). [clausify(7)]. 0.45/1.02 17 age(A,B) != zero | -organization(A) | is_aligned(A,B) # label(assumption_13) # label(axiom). [clausify(8)]. 0.45/1.02 20 dissimilar(A,B,C) | -organization(A) | is_aligned(A,C) | -is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(7)]. 0.45/1.02 21 age(A,B) != zero | -organization(A) | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(10)]. 0.45/1.02 22 age(A,B) != zero | -organization(A) | dissimilar(A,B,C) | -greater(age(A,C),sigma) # label(assumption_15) # label(axiom). [clausify(10)]. 0.45/1.02 24 -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(12)]. 0.45/1.02 25 -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(12)]. 0.45/1.02 27 -smaller_or_equal(age(A,B),tau) | -positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 0.45/1.02 28 robust_position(c1) # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.02 31 -greater(age(A,B),tau) | positional_advantage(A,B) | -robust_position(A) # label(definition_4) # label(axiom). [clausify(11)]. 0.45/1.02 36 greater(mod2,mod1) # label(assumption_19) # label(axiom). [assumption]. 0.45/1.02 38 greater(tau,zero) # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.02 39 tau = sigma # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.02 40 sigma = tau. [copy(39),flip(a)]. 0.45/1.02 41 age(c1,c2) = zero # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.02 42 smaller_or_equal(age(c1,c3),sigma) # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.02 43 smaller_or_equal(age(c1,c3),tau). [copy(42),rewrite([40(4)])]. 0.45/1.02 44 greater(age(c1,c4),sigma) # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.02 45 greater(age(c1,c4),tau). [copy(44),rewrite([40(4)])]. 0.45/1.02 47 -has_endowment(c1) # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.02 49 -dissimilar(A,B,C) | -is_aligned(A,C) | -is_aligned(A,B) # label(definition_2) # label(axiom). [clausify(7)]. 0.45/1.02 50 hazard_of_mortality(c1,c3) != hazard_of_mortality(c1,c2) | -smaller(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c3)) # label(theorem_8) # label(negated_conjecture). [clausify(13)]. 0.45/1.02 52 smaller_or_equal(A,B) | -smaller(A,B) # label(definition_smaller_or_equal) # label(axiom). [clausify(1)]. 0.45/1.02 53 -greater(A,B) | smaller(B,A) # label(definition_smaller) # label(axiom). [clausify(5)]. 0.45/1.02 58 has_endowment(c1) | -has_immunity(c1,A). [resolve(14,a,15,a)]. 0.45/1.02 59 -has_immunity(c1,A). [copy(58),unit_del(a,47)]. 0.45/1.02 61 age(c1,A) != zero | is_aligned(c1,A). [resolve(17,b,15,a)]. 0.45/1.02 66 dissimilar(c1,A,B) | is_aligned(c1,B) | -is_aligned(c1,A). [resolve(20,b,15,a)]. 0.45/1.02 70 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(21,b,16,b)]. 0.45/1.02 71 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),tau) | -dissimilar(A,D,E). [copy(70),rewrite([40(6)])]. 0.45/1.02 72 age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),sigma). [resolve(22,b,15,a)]. 0.45/1.02 73 age(c1,A) != zero | dissimilar(c1,A,B) | -greater(age(c1,B),tau). [copy(72),rewrite([40(9)])]. 0.45/1.02 79 has_immunity(c1,A) | is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [resolve(24,a,15,a)]. 0.45/1.02 80 is_aligned(c1,A) | -positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod1. [copy(79),unit_del(a,59)]. 0.45/1.02 82 has_immunity(c1,A) | -is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod2. [resolve(25,a,15,a)]. 0.45/1.02 83 -is_aligned(c1,A) | positional_advantage(c1,A) | hazard_of_mortality(c1,A) = mod2. [copy(82),unit_del(a,59)]. 0.45/1.02 88 -smaller_or_equal(age(c1,A),tau) | -positional_advantage(c1,A). [resolve(27,c,28,a)]. 0.45/1.02 91 -greater(age(c1,A),tau) | positional_advantage(c1,A). [resolve(31,c,28,a)]. 0.45/1.02 99 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),tau). [factor(71,b,d)]. 0.45/1.02 109 smaller(zero,tau). [resolve(53,a,38,a)]. 0.45/1.02 119 is_aligned(c1,c2). [resolve(61,a,41,a)]. 0.45/1.02 120 age(c1,A) != zero | dissimilar(c1,A,c4). [resolve(73,c,45,a)]. 0.45/1.02 122 -positional_advantage(c1,c3). [resolve(88,a,43,a)]. 0.45/1.02 123 -smaller_or_equal(zero,tau) | -positional_advantage(c1,c2). [para(41(a,1),88(a,1))]. 0.45/1.02 124 positional_advantage(c1,c4). [resolve(91,a,45,a)]. 0.45/1.02 131 -greater(age(c1,c3),tau). [ur(91,b,122,a)]. 0.45/1.02 132 smaller_or_equal(zero,tau). [resolve(109,a,52,b)]. 0.45/1.02 133 -positional_advantage(c1,c2). [back_unit_del(123),unit_del(a,132)]. 0.45/1.02 135 hazard_of_mortality(c1,c2) = mod2. [resolve(119,a,83,a),unit_del(a,133)]. 0.45/1.02 136 dissimilar(c1,c2,A) | is_aligned(c1,A). [resolve(119,a,66,c)]. 0.45/1.02 140 hazard_of_mortality(c1,c3) != mod2 | -smaller(hazard_of_mortality(c1,c4),hazard_of_mortality(c1,c3)). [back_rewrite(50),rewrite([135(6)])]. 0.45/1.02 146 is_aligned(c1,c4) | hazard_of_mortality(c1,c4) = mod1. [resolve(124,a,80,b)]. 0.45/1.02 162 -dissimilar(c1,c2,c3). [ur(99,a,41,a,c,131,a)]. 0.45/1.02 178 is_aligned(c1,c3). [resolve(136,a,162,a)]. 0.45/1.02 180 hazard_of_mortality(c1,c3) = mod2. [resolve(178,a,83,a),unit_del(a,122)]. 0.45/1.02 185 -smaller(hazard_of_mortality(c1,c4),mod2). [back_rewrite(140),rewrite([180(3),180(9)]),xx(a)]. 0.45/1.02 188 -greater(mod2,hazard_of_mortality(c1,c4)). [ur(53,b,185,a)]. 0.45/1.02 192 dissimilar(c1,c2,c4). [resolve(120,a,41,a)]. 0.45/1.02 195 -is_aligned(c1,c4). [resolve(192,a,49,a),unit_del(b,119)]. 0.45/1.02 196 hazard_of_mortality(c1,c4) = mod1. [back_unit_del(146),unit_del(a,195)]. 0.45/1.02 197 $F. [back_rewrite(188),rewrite([196(4)]),unit_del(a,36)]. 0.45/1.02 0.45/1.02 % SZS output end Refutation 0.45/1.02 ============================== end of proof ========================== 0.45/1.02 0.45/1.02 ============================== STATISTICS ============================ 0.45/1.02 0.45/1.02 Given=106. Generated=380. Kept=149. proofs=1. 0.45/1.02 Usable=100. Sos=28. Demods=5. Limbo=1, Disabled=91. Hints=0. 0.45/1.02 Megabytes=0.23. 0.45/1.02 User_CPU=0.03, System_CPU=0.00, Wall_clock=0. 0.45/1.02 0.45/1.02 ============================== end of statistics ===================== 0.45/1.02 0.45/1.02 ============================== end of search ========================= 0.45/1.02 0.45/1.02 THEOREM PROVED 0.45/1.02 % SZS status Theorem 0.45/1.02 0.45/1.02 Exiting with 1 proof. 0.45/1.02 0.45/1.02 Process 5274 exit (max_proofs) Mon Jul 3 04:23:05 2023 0.45/1.02 Prover9 interrupted 0.45/1.03 EOF