TSTP Solution File: MGT060-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT060-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:22:18 EDT 2022
% Result : Unsatisfiable 0.18s 0.38s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT060-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Sep 2 02:53:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.18/0.38 % SZS status Unsatisfiable
% 0.18/0.38 % SZS output start Proof
% 0.18/0.38 tff(greater_type, type, (
% 0.18/0.38 greater: ( $i * $i ) > $o)).
% 0.18/0.38 tff(hazard_of_mortality_type, type, (
% 0.18/0.38 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.18/0.38 tff(sk2_type, type, (
% 0.18/0.38 sk2: $i)).
% 0.18/0.38 tff(sk1_type, type, (
% 0.18/0.38 sk1: $i)).
% 0.18/0.38 tff(sk3_type, type, (
% 0.18/0.38 sk3: $i)).
% 0.18/0.38 tff(very_low_type, type, (
% 0.18/0.38 very_low: $i)).
% 0.18/0.38 tff(high_type, type, (
% 0.18/0.38 high: $i)).
% 0.18/0.38 tff(has_immunity_type, type, (
% 0.18/0.38 has_immunity: ( $i * $i ) > $o)).
% 0.18/0.38 tff(organization_type, type, (
% 0.18/0.38 organization: $i > $o)).
% 0.18/0.38 tff(positional_advantage_type, type, (
% 0.18/0.38 positional_advantage: ( $i * $i ) > $o)).
% 0.18/0.38 tff(mod1_type, type, (
% 0.18/0.38 mod1: $i)).
% 0.18/0.38 tff(low_type, type, (
% 0.18/0.38 low: $i)).
% 0.18/0.38 tff(is_aligned_type, type, (
% 0.18/0.38 is_aligned: ( $i * $i ) > $o)).
% 0.18/0.38 tff(mod2_type, type, (
% 0.18/0.38 mod2: $i)).
% 0.18/0.38 tff(1,plain,
% 0.18/0.38 (has_immunity(sk1, sk2) <=> has_immunity(sk1, sk2)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(2,axiom,(has_immunity(sk1, sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_3_43')).
% 0.18/0.38 tff(3,plain,
% 0.18/0.38 (has_immunity(sk1, sk2)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.18/0.38 tff(4,plain,
% 0.18/0.38 (organization(sk1) <=> organization(sk1)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(5,axiom,(organization(sk1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_3_42')).
% 0.18/0.38 tff(6,plain,
% 0.18/0.38 (organization(sk1)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.18/0.38 tff(7,plain,
% 0.18/0.38 (^[B: $i, A: $i] : refl(((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A))) <=> ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(8,plain,
% 0.18/0.38 (![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[7])).
% 0.18/0.38 tff(9,plain,
% 0.18/0.38 (![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(10,plain,
% 0.18/0.38 (^[B: $i, A: $i] : rewrite((((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low)) <=> ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(11,plain,
% 0.18/0.38 (![B: $i, A: $i] : (((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[10])).
% 0.18/0.38 tff(12,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_32')).
% 0.18/0.38 tff(13,plain,
% 0.18/0.38 (![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.18/0.38 tff(14,plain,
% 0.18/0.38 (![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.18/0.38 tff(15,plain,(
% 0.18/0.38 ![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.18/0.38 inference(skolemize,[status(sab)],[14])).
% 0.18/0.38 tff(16,plain,
% 0.18/0.38 (![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.18/0.38 tff(17,plain,
% 0.18/0.38 (((~![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))) | ((~organization(sk1)) | (hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))) | (~organization(sk1)) | (hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(18,plain,
% 0.18/0.39 (((hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2)) | (~organization(sk1))) <=> ((~organization(sk1)) | (hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(19,plain,
% 0.18/0.39 (((~![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2)) | (~organization(sk1)))) <=> ((~![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))) | ((~organization(sk1)) | (hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2))))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[18])).
% 0.18/0.39 tff(20,plain,
% 0.18/0.39 (((~![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2)) | (~organization(sk1)))) <=> ((~![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))) | (~organization(sk1)) | (hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2)))),
% 0.18/0.39 inference(transitivity,[status(thm)],[19, 17])).
% 0.18/0.39 tff(21,plain,
% 0.18/0.39 ((~![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2)) | (~organization(sk1)))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(22,plain,
% 0.18/0.39 ((~![B: $i, A: $i] : ((hazard_of_mortality(A, B) = very_low) | (~has_immunity(A, B)) | (~organization(A)))) | (~organization(sk1)) | (hazard_of_mortality(sk1, sk2) = very_low) | (~has_immunity(sk1, sk2))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.18/0.39 tff(23,plain,
% 0.18/0.39 (hazard_of_mortality(sk1, sk2) = very_low),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[22, 16, 6, 3])).
% 0.18/0.39 tff(24,assumption,(hazard_of_mortality(sk1, sk3) = mod1), introduced(assumption)).
% 0.18/0.39 tff(25,plain,
% 0.18/0.39 (greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) <=> greater(mod1, very_low)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[24, 23])).
% 0.18/0.39 tff(26,plain,
% 0.18/0.39 (greater(mod1, very_low) <=> greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.18/0.39 inference(symmetry,[status(thm)],[25])).
% 0.18/0.39 tff(27,plain,
% 0.18/0.39 (greater(low, very_low) <=> greater(low, very_low)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(28,axiom,(greater(low, very_low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18c_39')).
% 0.18/0.39 tff(29,plain,
% 0.18/0.39 (greater(low, very_low)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.18/0.39 tff(30,plain,
% 0.18/0.39 (greater(mod1, low) <=> greater(mod1, low)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(31,axiom,(greater(mod1, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18b_38')).
% 0.18/0.39 tff(32,plain,
% 0.18/0.39 (greater(mod1, low)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.18/0.39 tff(33,plain,
% 0.18/0.39 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(34,plain,
% 0.18/0.39 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(35,plain,
% 0.18/0.39 (^[B: $i, A: $i, C: $i] : rewrite((((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> (greater(A, C) | (~greater(B, C)) | (~greater(A, B))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(36,plain,
% 0.18/0.39 (![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[35])).
% 0.18/0.39 tff(37,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_transitive_10')).
% 0.18/0.39 tff(38,plain,
% 0.18/0.39 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.18/0.39 tff(39,plain,
% 0.18/0.39 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.18/0.39 tff(40,plain,(
% 0.18/0.39 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.18/0.39 inference(skolemize,[status(sab)],[39])).
% 0.18/0.39 tff(41,plain,
% 0.18/0.39 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[40, 33])).
% 0.18/0.39 tff(42,plain,
% 0.18/0.39 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(43,plain,
% 0.18/0.39 ((greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low))) <=> ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(44,plain,
% 0.18/0.39 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[43])).
% 0.18/0.39 tff(45,plain,
% 0.18/0.39 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.18/0.39 inference(transitivity,[status(thm)],[44, 42])).
% 0.18/0.39 tff(46,plain,
% 0.18/0.39 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(47,plain,
% 0.18/0.39 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.18/0.39 tff(48,plain,
% 0.18/0.39 (greater(mod1, very_low)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[47, 41, 32, 29])).
% 0.18/0.39 tff(49,plain,
% 0.18/0.39 (greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[48, 26])).
% 0.18/0.39 tff(50,plain,
% 0.18/0.39 ((~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) <=> (~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(51,axiom,(~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_3_45')).
% 0.18/0.39 tff(52,plain,
% 0.18/0.39 (~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.18/0.39 tff(53,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[52, 49])).
% 0.18/0.39 tff(54,plain,(~(hazard_of_mortality(sk1, sk3) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(55,plain,
% 0.18/0.39 (very_low = hazard_of_mortality(sk1, sk2)),
% 0.18/0.39 inference(symmetry,[status(thm)],[23])).
% 0.18/0.39 tff(56,assumption,(hazard_of_mortality(sk1, sk3) = low), introduced(assumption)).
% 0.18/0.39 tff(57,plain,
% 0.18/0.39 (low = hazard_of_mortality(sk1, sk3)),
% 0.18/0.39 inference(symmetry,[status(thm)],[56])).
% 0.18/0.39 tff(58,plain,
% 0.18/0.39 (greater(low, very_low) <=> greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[57, 55])).
% 0.18/0.39 tff(59,plain,
% 0.18/0.39 (greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) <=> greater(low, very_low)),
% 0.18/0.39 inference(symmetry,[status(thm)],[58])).
% 0.18/0.39 tff(60,plain,
% 0.18/0.39 ((~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) <=> (~greater(low, very_low))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[59])).
% 0.18/0.39 tff(61,plain,
% 0.18/0.39 (~greater(low, very_low)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[52, 60])).
% 0.18/0.39 tff(62,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[29, 61])).
% 0.18/0.39 tff(63,plain,(~(hazard_of_mortality(sk1, sk3) = low)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(64,assumption,(~(hazard_of_mortality(sk1, sk3) = low)), introduced(assumption)).
% 0.18/0.39 tff(65,assumption,(positional_advantage(sk1, sk3)), introduced(assumption)).
% 0.18/0.39 tff(66,assumption,(~(hazard_of_mortality(sk1, sk3) = mod1)), introduced(assumption)).
% 0.18/0.39 tff(67,plain,
% 0.18/0.39 ((~has_immunity(sk1, sk3)) <=> (~has_immunity(sk1, sk3))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(68,axiom,(~has_immunity(sk1, sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_3_44')).
% 0.18/0.39 tff(69,plain,
% 0.18/0.39 (~has_immunity(sk1, sk3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.18/0.39 tff(70,plain,
% 0.18/0.39 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1)))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(71,plain,
% 0.18/0.39 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[70])).
% 0.18/0.39 tff(72,plain,
% 0.18/0.39 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(73,plain,
% 0.18/0.39 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> ((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod1)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(74,plain,
% 0.18/0.39 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[73])).
% 0.18/0.39 tff(75,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_34')).
% 0.18/0.39 tff(76,plain,
% 0.18/0.39 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.18/0.39 tff(77,plain,
% 0.18/0.39 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[76, 72])).
% 0.18/0.39 tff(78,plain,(
% 0.18/0.39 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))),
% 0.18/0.39 inference(skolemize,[status(sab)],[77])).
% 0.18/0.39 tff(79,plain,
% 0.18/0.39 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[78, 71])).
% 0.18/0.39 tff(80,plain,
% 0.18/0.39 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod1))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))) | has_immunity(sk1, sk3) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod1))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(81,plain,
% 0.18/0.39 ((has_immunity(sk1, sk3) | (~organization(sk1)) | (~positional_advantage(sk1, sk3)) | is_aligned(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = mod1)) <=> (has_immunity(sk1, sk3) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod1))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(82,plain,
% 0.18/0.39 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | (~positional_advantage(sk1, sk3)) | is_aligned(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = mod1))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod1)))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[81])).
% 0.18/0.39 tff(83,plain,
% 0.18/0.39 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | (~positional_advantage(sk1, sk3)) | is_aligned(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = mod1))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))) | has_immunity(sk1, sk3) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod1))),
% 0.18/0.39 inference(transitivity,[status(thm)],[82, 80])).
% 0.18/0.39 tff(84,plain,
% 0.18/0.39 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | (~positional_advantage(sk1, sk3)) | is_aligned(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = mod1))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(85,plain,
% 0.18/0.39 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | is_aligned(A, B) | (hazard_of_mortality(A, B) = mod1))) | has_immunity(sk1, sk3) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod1)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.18/0.40 tff(86,plain,
% 0.18/0.40 (is_aligned(sk1, sk3) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod1)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[85, 79, 6, 69])).
% 0.18/0.40 tff(87,plain,
% 0.18/0.40 (is_aligned(sk1, sk3)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[86, 65, 66])).
% 0.18/0.40 tff(88,plain,
% 0.18/0.40 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(89,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[88])).
% 0.18/0.40 tff(90,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(91,plain,
% 0.18/0.40 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(92,plain,
% 0.18/0.40 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[91])).
% 0.18/0.40 tff(93,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_33')).
% 0.18/0.40 tff(94,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.18/0.40 tff(95,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[94, 90])).
% 0.18/0.40 tff(96,plain,(
% 0.18/0.40 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.18/0.40 inference(skolemize,[status(sab)],[95])).
% 0.18/0.40 tff(97,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[96, 89])).
% 0.18/0.40 tff(98,plain,
% 0.18/0.40 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = low))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = low))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(99,plain,
% 0.18/0.40 ((has_immunity(sk1, sk3) | (~organization(sk1)) | (hazard_of_mortality(sk1, sk3) = low) | (~positional_advantage(sk1, sk3)) | (~is_aligned(sk1, sk3))) <=> (has_immunity(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = low))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(100,plain,
% 0.18/0.40 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | (hazard_of_mortality(sk1, sk3) = low) | (~positional_advantage(sk1, sk3)) | (~is_aligned(sk1, sk3)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = low)))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[99])).
% 0.18/0.40 tff(101,plain,
% 0.18/0.40 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | (hazard_of_mortality(sk1, sk3) = low) | (~positional_advantage(sk1, sk3)) | (~is_aligned(sk1, sk3)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = low))),
% 0.18/0.40 inference(transitivity,[status(thm)],[100, 98])).
% 0.18/0.40 tff(102,plain,
% 0.18/0.40 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | (hazard_of_mortality(sk1, sk3) = low) | (~positional_advantage(sk1, sk3)) | (~is_aligned(sk1, sk3)))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(103,plain,
% 0.18/0.40 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = low)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.18/0.40 tff(104,plain,
% 0.18/0.40 ((~is_aligned(sk1, sk3)) | (~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = low)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[103, 97, 6, 69])).
% 0.18/0.40 tff(105,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[104, 87, 65, 64])).
% 0.18/0.40 tff(106,plain,((~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = low) | (hazard_of_mortality(sk1, sk3) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(107,plain,
% 0.18/0.40 ((~positional_advantage(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod1)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[106, 63])).
% 0.18/0.40 tff(108,plain,
% 0.18/0.40 (~positional_advantage(sk1, sk3)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[107, 54])).
% 0.18/0.40 tff(109,assumption,(hazard_of_mortality(sk1, sk3) = mod2), introduced(assumption)).
% 0.18/0.40 tff(110,plain,
% 0.18/0.40 (greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) <=> greater(mod2, very_low)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[109, 23])).
% 0.18/0.40 tff(111,plain,
% 0.18/0.40 (greater(mod2, very_low) <=> greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.18/0.40 inference(symmetry,[status(thm)],[110])).
% 0.18/0.40 tff(112,plain,
% 0.18/0.40 (greater(mod2, low) <=> greater(mod2, low)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(113,axiom,(greater(mod2, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18e_41')).
% 0.18/0.40 tff(114,plain,
% 0.18/0.40 (greater(mod2, low)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.18/0.40 tff(115,plain,
% 0.18/0.40 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(116,plain,
% 0.18/0.40 ((greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low))) <=> ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(117,plain,
% 0.18/0.40 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[116])).
% 0.18/0.40 tff(118,plain,
% 0.18/0.40 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.18/0.40 inference(transitivity,[status(thm)],[117, 115])).
% 0.18/0.40 tff(119,plain,
% 0.18/0.40 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(120,plain,
% 0.18/0.40 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.18/0.40 tff(121,plain,
% 0.18/0.40 (greater(mod2, very_low)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[120, 41, 29, 114])).
% 0.18/0.40 tff(122,plain,
% 0.18/0.40 (greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[121, 111])).
% 0.18/0.40 tff(123,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[52, 122])).
% 0.18/0.40 tff(124,plain,(~(hazard_of_mortality(sk1, sk3) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(125,assumption,(~(hazard_of_mortality(sk1, sk3) = mod2)), introduced(assumption)).
% 0.18/0.40 tff(126,assumption,(~positional_advantage(sk1, sk3)), introduced(assumption)).
% 0.18/0.40 tff(127,assumption,(~(hazard_of_mortality(sk1, sk3) = high)), introduced(assumption)).
% 0.18/0.40 tff(128,plain,
% 0.18/0.40 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(129,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[128])).
% 0.18/0.40 tff(130,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(131,plain,
% 0.18/0.40 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B)) | (hazard_of_mortality(A, B) = high)))), rewrite(((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(132,plain,
% 0.18/0.40 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[131])).
% 0.18/0.40 tff(133,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_36')).
% 0.18/0.40 tff(134,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.18/0.40 tff(135,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[134, 130])).
% 0.18/0.40 tff(136,plain,(
% 0.18/0.40 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.18/0.40 inference(skolemize,[status(sab)],[135])).
% 0.18/0.40 tff(137,plain,
% 0.18/0.40 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[136, 129])).
% 0.18/0.40 tff(138,plain,
% 0.18/0.40 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | positional_advantage(sk1, sk3) | is_aligned(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | has_immunity(sk1, sk3) | (~organization(sk1)) | positional_advantage(sk1, sk3) | is_aligned(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = high))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(139,plain,
% 0.18/0.41 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | positional_advantage(sk1, sk3) | is_aligned(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = high))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(140,plain,
% 0.18/0.41 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | has_immunity(sk1, sk3) | (~organization(sk1)) | positional_advantage(sk1, sk3) | is_aligned(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = high)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.18/0.41 tff(141,plain,
% 0.18/0.41 (positional_advantage(sk1, sk3) | is_aligned(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = high)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[140, 137, 6, 69])).
% 0.18/0.41 tff(142,plain,
% 0.18/0.41 (is_aligned(sk1, sk3)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[141, 126, 127])).
% 0.18/0.41 tff(143,plain,
% 0.18/0.41 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(144,plain,
% 0.18/0.41 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[143])).
% 0.18/0.41 tff(145,plain,
% 0.18/0.41 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(146,plain,
% 0.18/0.41 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = mod2)))), rewrite(((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(147,plain,
% 0.18/0.41 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[146])).
% 0.18/0.41 tff(148,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_35')).
% 0.18/0.41 tff(149,plain,
% 0.18/0.41 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.18/0.41 tff(150,plain,
% 0.18/0.41 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[149, 145])).
% 0.18/0.41 tff(151,plain,(
% 0.18/0.41 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.18/0.41 inference(skolemize,[status(sab)],[150])).
% 0.18/0.41 tff(152,plain,
% 0.18/0.41 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[151, 144])).
% 0.18/0.41 tff(153,plain,
% 0.18/0.41 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | positional_advantage(sk1, sk3) | (~is_aligned(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | has_immunity(sk1, sk3) | (~organization(sk1)) | positional_advantage(sk1, sk3) | (~is_aligned(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod2))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(154,plain,
% 0.18/0.41 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk1, sk3) | (~organization(sk1)) | positional_advantage(sk1, sk3) | (~is_aligned(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod2))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(155,plain,
% 0.18/0.41 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | has_immunity(sk1, sk3) | (~organization(sk1)) | positional_advantage(sk1, sk3) | (~is_aligned(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod2)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.18/0.41 tff(156,plain,
% 0.18/0.41 (positional_advantage(sk1, sk3) | (~is_aligned(sk1, sk3)) | (hazard_of_mortality(sk1, sk3) = mod2)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[155, 152, 6, 69])).
% 0.18/0.41 tff(157,plain,
% 0.18/0.41 ($false),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[156, 142, 126, 125])).
% 0.18/0.41 tff(158,plain,(positional_advantage(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = mod2) | (hazard_of_mortality(sk1, sk3) = high)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.41 tff(159,plain,
% 0.18/0.41 (positional_advantage(sk1, sk3) | (hazard_of_mortality(sk1, sk3) = high)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[158, 124])).
% 0.18/0.41 tff(160,plain,
% 0.18/0.41 (hazard_of_mortality(sk1, sk3) = high),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[159, 108])).
% 0.18/0.41 tff(161,plain,
% 0.18/0.41 (greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) <=> greater(high, very_low)),
% 0.18/0.41 inference(monotonicity,[status(thm)],[160, 23])).
% 0.18/0.41 tff(162,plain,
% 0.18/0.41 (greater(high, very_low) <=> greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.18/0.41 inference(symmetry,[status(thm)],[161])).
% 0.18/0.41 tff(163,plain,
% 0.18/0.41 (greater(high, mod1) <=> greater(high, mod1)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(164,axiom,(greater(high, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18a_37')).
% 0.18/0.41 tff(165,plain,
% 0.18/0.41 (greater(high, mod1)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.18/0.41 tff(166,plain,
% 0.18/0.41 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(167,plain,
% 0.18/0.41 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(168,plain,
% 0.18/0.41 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.18/0.41 tff(169,plain,
% 0.18/0.41 (greater(high, low)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[168, 41, 165, 32])).
% 0.18/0.41 tff(170,plain,
% 0.18/0.41 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(171,plain,
% 0.18/0.41 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(172,plain,
% 0.18/0.41 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))))),
% 0.18/0.41 inference(monotonicity,[status(thm)],[171])).
% 0.18/0.41 tff(173,plain,
% 0.18/0.41 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.18/0.41 inference(transitivity,[status(thm)],[172, 170])).
% 0.18/0.41 tff(174,plain,
% 0.18/0.41 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(175,plain,
% 0.18/0.41 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.18/0.41 tff(176,plain,
% 0.18/0.41 (greater(high, very_low)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[175, 41, 29, 169])).
% 0.18/0.41 tff(177,plain,
% 0.18/0.41 (greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[176, 162])).
% 0.18/0.41 tff(178,plain,
% 0.18/0.41 ($false),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[52, 177])).
% 0.18/0.41 % SZS output end Proof
%------------------------------------------------------------------------------