%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT043-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:05 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT043-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n009.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 13:06:39 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.41 % SZS status Unsatisfiable
% 0.12/0.41 % SZS output start Proof
% 0.12/0.41 tff(smaller_or_equal_type, type, (
% 0.12/0.41 smaller_or_equal: ( $i * $i ) > $o)).
% 0.12/0.41 tff(stock_of_knowledge_type, type, (
% 0.12/0.41 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.12/0.41 tff(sk2_type, type, (
% 0.12/0.41 sk2: $i)).
% 0.12/0.41 tff(sk1_type, type, (
% 0.12/0.41 sk1: $i)).
% 0.12/0.41 tff(sk3_type, type, (
% 0.12/0.41 sk3: $i)).
% 0.12/0.41 tff(smaller_type, type, (
% 0.12/0.41 smaller: ( $i * $i ) > $o)).
% 0.12/0.41 tff(capability_type, type, (
% 0.12/0.41 capability: ( $i * $i ) > $i)).
% 0.12/0.41 tff(greater_type, type, (
% 0.12/0.41 greater: ( $i * $i ) > $o)).
% 0.12/0.41 tff(greater_or_equal_type, type, (
% 0.12/0.41 greater_or_equal: ( $i * $i ) > $o)).
% 0.12/0.41 tff(position_type, type, (
% 0.12/0.41 position: ( $i * $i ) > $i)).
% 0.12/0.41 tff(external_ties_type, type, (
% 0.12/0.41 external_ties: ( $i * $i ) > $i)).
% 0.12/0.41 tff(organization_type, type, (
% 0.12/0.41 organization: $i > $o)).
% 0.12/0.41 tff(hazard_of_mortality_type, type, (
% 0.12/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.12/0.41 tff(has_immunity_type, type, (
% 0.12/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.12/0.41 tff(internal_friction_type, type, (
% 0.12/0.41 internal_friction: ( $i * $i ) > $i)).
% 0.12/0.41 tff(1,plain,
% 0.12/0.41 ((stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) <=> (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(2,axiom,(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_2_49')).
% 0.12/0.41 tff(3,plain,
% 0.12/0.41 (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.12/0.41 tff(4,plain,
% 0.12/0.41 (smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[3])).
% 0.12/0.41 tff(5,plain,
% 0.12/0.41 (smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.12/0.41 inference(symmetry,[status(thm)],[4])).
% 0.12/0.41 tff(6,assumption,(~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))), introduced(assumption)).
% 0.12/0.41 tff(7,plain,
% 0.12/0.41 (^[B: $i] : refl(smaller_or_equal(B, B) <=> smaller_or_equal(B, B))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(8,plain,
% 0.12/0.41 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.12/0.41 inference(quant_intro,[status(thm)],[7])).
% 0.12/0.41 tff(9,plain,
% 0.12/0.41 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(10,plain,
% 0.12/0.41 (![B: $i, A: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.12/0.41 inference(elim_unused_vars,[status(thm)],[])).
% 0.12/0.41 tff(11,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : smaller_or_equal(B, B)),
% 0.12/0.41 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.12/0.41 tff(12,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.12/0.41 inference(transitivity,[status(thm)],[11, 10])).
% 0.12/0.41 tff(13,axiom,(![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_3')).
% 0.12/0.41 tff(14,plain,
% 0.12/0.41 (![B: $i] : smaller_or_equal(B, B)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.12/0.41 tff(15,plain,
% 0.12/0.41 (![B: $i] : smaller_or_equal(B, B)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[14, 9])).
% 0.12/0.41 tff(16,plain,(
% 0.12/0.41 ![B: $i] : smaller_or_equal(B, B)),
% 0.12/0.41 inference(skolemize,[status(sab)],[15])).
% 0.12/0.41 tff(17,plain,
% 0.12/0.41 (![B: $i] : smaller_or_equal(B, B)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[16, 8])).
% 0.12/0.41 tff(18,plain,
% 0.12/0.41 ((~![B: $i] : smaller_or_equal(B, B)) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(19,plain,
% 0.12/0.41 ($false),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[18, 17, 6])).
% 0.12/0.41 tff(20,plain,(smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.41 tff(21,plain,
% 0.12/0.41 (smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[20, 5])).
% 0.12/0.41 tff(22,plain,
% 0.12/0.41 ((external_ties(sk1, sk2) = external_ties(sk1, sk3)) <=> (external_ties(sk1, sk2) = external_ties(sk1, sk3))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(23,axiom,(external_ties(sk1, sk2) = external_ties(sk1, sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_2_51')).
% 0.12/0.41 tff(24,plain,
% 0.12/0.41 (external_ties(sk1, sk2) = external_ties(sk1, sk3)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.12/0.41 tff(25,plain,
% 0.12/0.41 (organization(sk1) <=> organization(sk1)),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(26,axiom,(organization(sk1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_2_46')).
% 0.12/0.41 tff(27,plain,
% 0.12/0.41 (organization(sk1)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.12/0.41 tff(28,plain,
% 0.12/0.41 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))) <=> ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(29,plain,
% 0.12/0.41 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[28])).
% 0.12/0.41 tff(30,plain,
% 0.12/0.41 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(31,plain,
% 0.12/0.41 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~(external_ties(A, B) = external_ties(A, C)))) | (position(A, B) = position(A, C))) <=> ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(32,plain,
% 0.12/0.41 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~(external_ties(A, B) = external_ties(A, C)))) | (position(A, B) = position(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[31])).
% 0.12/0.41 tff(33,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~(external_ties(A, B) = external_ties(A, C)))) | (position(A, B) = position(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_6_45')).
% 0.12/0.41 tff(34,plain,
% 0.12/0.41 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.12/0.41 tff(35,plain,
% 0.12/0.41 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[34, 30])).
% 0.12/0.41 tff(36,plain,(
% 0.12/0.41 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.12/0.41 inference(skolemize,[status(sab)],[35])).
% 0.12/0.41 tff(37,plain,
% 0.12/0.41 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[36, 29])).
% 0.12/0.41 tff(38,plain,
% 0.12/0.41 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | ((~organization(sk1)) | (position(sk1, sk2) = position(sk1, sk3)) | (~(external_ties(sk1, sk2) = external_ties(sk1, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | (~organization(sk1)) | (position(sk1, sk2) = position(sk1, sk3)) | (~(external_ties(sk1, sk2) = external_ties(sk1, sk3))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(39,plain,
% 0.12/0.41 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | ((~organization(sk1)) | (position(sk1, sk2) = position(sk1, sk3)) | (~(external_ties(sk1, sk2) = external_ties(sk1, sk3))))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(40,plain,
% 0.12/0.41 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | (~organization(sk1)) | (position(sk1, sk2) = position(sk1, sk3)) | (~(external_ties(sk1, sk2) = external_ties(sk1, sk3)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.12/0.41 tff(41,plain,
% 0.12/0.41 (position(sk1, sk2) = position(sk1, sk3)),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[40, 37, 27, 24])).
% 0.12/0.41 tff(42,plain,
% 0.12/0.41 (greater_or_equal(position(sk1, sk2), position(sk1, sk2)) <=> greater_or_equal(position(sk1, sk3), position(sk1, sk3))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[41, 41])).
% 0.12/0.41 tff(43,plain,
% 0.12/0.41 (greater_or_equal(position(sk1, sk3), position(sk1, sk3)) <=> greater_or_equal(position(sk1, sk2), position(sk1, sk2))),
% 0.12/0.41 inference(symmetry,[status(thm)],[42])).
% 0.12/0.41 tff(44,plain,
% 0.12/0.41 ((~greater_or_equal(position(sk1, sk3), position(sk1, sk3))) <=> (~greater_or_equal(position(sk1, sk2), position(sk1, sk2)))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[43])).
% 0.12/0.41 tff(45,plain,
% 0.12/0.41 (greater_or_equal(position(sk1, sk2), position(sk1, sk3)) <=> greater_or_equal(position(sk1, sk3), position(sk1, sk3))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[41])).
% 0.12/0.41 tff(46,plain,
% 0.12/0.41 ((~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) <=> (~greater_or_equal(position(sk1, sk3), position(sk1, sk3)))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[45])).
% 0.12/0.41 tff(47,assumption,(~greater_or_equal(position(sk1, sk2), position(sk1, sk3))), introduced(assumption)).
% 0.12/0.41 tff(48,plain,
% 0.12/0.41 (~greater_or_equal(position(sk1, sk3), position(sk1, sk3))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.12/0.41 tff(49,plain,
% 0.12/0.41 (~greater_or_equal(position(sk1, sk2), position(sk1, sk2))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.12/0.41 tff(50,assumption,(~greater_or_equal(position(sk1, sk2), position(sk1, sk2))), introduced(assumption)).
% 0.12/0.41 tff(51,plain,
% 0.12/0.41 (^[B: $i] : refl(greater_or_equal(B, B) <=> greater_or_equal(B, B))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(52,plain,
% 0.12/0.41 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.12/0.41 inference(quant_intro,[status(thm)],[51])).
% 0.12/0.41 tff(53,plain,
% 0.12/0.41 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(54,plain,
% 0.12/0.41 (![B: $i, A: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.12/0.41 inference(elim_unused_vars,[status(thm)],[])).
% 0.12/0.41 tff(55,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : greater_or_equal(B, B)),
% 0.12/0.41 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.12/0.41 tff(56,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.12/0.41 inference(transitivity,[status(thm)],[55, 54])).
% 0.12/0.41 tff(57,axiom,(![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_greater_or_equal_6')).
% 0.12/0.41 tff(58,plain,
% 0.12/0.41 (![B: $i] : greater_or_equal(B, B)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.12/0.41 tff(59,plain,
% 0.12/0.41 (![B: $i] : greater_or_equal(B, B)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[58, 53])).
% 0.12/0.41 tff(60,plain,(
% 0.12/0.41 ![B: $i] : greater_or_equal(B, B)),
% 0.12/0.41 inference(skolemize,[status(sab)],[59])).
% 0.12/0.41 tff(61,plain,
% 0.12/0.41 (![B: $i] : greater_or_equal(B, B)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[60, 52])).
% 0.12/0.41 tff(62,plain,
% 0.12/0.41 ((~![B: $i] : greater_or_equal(B, B)) | greater_or_equal(position(sk1, sk2), position(sk1, sk2))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(63,plain,
% 0.12/0.41 ($false),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[62, 61, 50])).
% 0.12/0.41 tff(64,plain,(greater_or_equal(position(sk1, sk2), position(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.41 tff(65,plain,
% 0.12/0.41 ($false),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[64, 49])).
% 0.12/0.41 tff(66,plain,(greater_or_equal(position(sk1, sk2), position(sk1, sk3))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.41 tff(67,plain,
% 0.12/0.41 ((~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) <=> (~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(68,axiom,(~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_2_52')).
% 0.12/0.41 tff(69,plain,
% 0.12/0.41 (~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.12/0.41 tff(70,plain,
% 0.12/0.41 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(71,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[70])).
% 0.12/0.41 tff(72,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(73,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.12/0.41 tff(74,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.12/0.41 tff(75,plain,(
% 0.12/0.41 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.41 inference(skolemize,[status(sab)],[74])).
% 0.12/0.41 tff(76,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[75, 71])).
% 0.12/0.41 tff(77,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))) | greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))) | greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(78,plain,
% 0.12/0.41 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))) | greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(79,plain,
% 0.12/0.41 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))) | greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.12/0.41 tff(80,plain,
% 0.12/0.41 (~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[79, 76, 69])).
% 0.12/0.41 tff(81,plain,
% 0.12/0.41 ((~has_immunity(sk1, sk3)) <=> (~has_immunity(sk1, sk3))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(82,axiom,(~has_immunity(sk1, sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_2_48')).
% 0.12/0.41 tff(83,plain,
% 0.12/0.41 (~has_immunity(sk1, sk3)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.12/0.41 tff(84,plain,
% 0.12/0.41 ((~has_immunity(sk1, sk2)) <=> (~has_immunity(sk1, sk2))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(85,axiom,(~has_immunity(sk1, sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_2_47')).
% 0.12/0.41 tff(86,plain,
% 0.12/0.41 (~has_immunity(sk1, sk2)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.12/0.41 tff(87,plain,
% 0.12/0.41 (^[B: $i, A: $i, C: $i] : refl((smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(88,plain,
% 0.12/0.41 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[87])).
% 0.12/0.42 tff(89,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(90,plain,
% 0.12/0.42 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater(capability(A, C), capability(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater(capability(A, C), capability(A, B)))) <=> ((~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ((~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) <=> (((~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater_or_equal(position(A, C), position(A, B)))))), rewrite((((~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater_or_equal(position(A, C), position(A, B)))) <=> ((~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) <=> ((~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))))), (((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (((~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))))), rewrite((((~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), (((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(91,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[90])).
% 0.12/0.42 tff(92,axiom,(![B: $i, A: $i, C: $i] : ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_4_38')).
% 0.12/0.42 tff(93,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.12/0.42 tff(94,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.12/0.42 tff(95,plain,(
% 0.12/0.42 ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.12/0.42 inference(skolemize,[status(sab)],[94])).
% 0.12/0.42 tff(96,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[95, 88])).
% 0.12/0.42 tff(97,plain,
% 0.12/0.42 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(98,plain,
% 0.12/0.42 ((smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | (~organization(sk1))) <=> (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(99,plain,
% 0.12/0.42 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | (~organization(sk1)))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3)))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[98])).
% 0.12/0.42 tff(100,plain,
% 0.12/0.42 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | (~organization(sk1)))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))))),
% 0.12/0.42 inference(transitivity,[status(thm)],[99, 97])).
% 0.12/0.42 tff(101,plain,
% 0.12/0.42 ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | (~organization(sk1)))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(102,plain,
% 0.12/0.42 ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.12/0.42 tff(103,plain,
% 0.12/0.42 ((~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3)))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[102, 96, 27, 86, 83, 80])).
% 0.12/0.42 tff(104,plain,
% 0.12/0.42 (~greater(capability(sk1, sk2), capability(sk1, sk3))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[103, 66])).
% 0.12/0.42 tff(105,plain,
% 0.12/0.42 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk1, sk3), capability(sk1, sk2))) | greater(capability(sk1, sk2), capability(sk1, sk3)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk1, sk3), capability(sk1, sk2))) | greater(capability(sk1, sk2), capability(sk1, sk3)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(106,plain,
% 0.12/0.42 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk1, sk3), capability(sk1, sk2))) | greater(capability(sk1, sk2), capability(sk1, sk3)))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(107,plain,
% 0.12/0.42 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk1, sk3), capability(sk1, sk2))) | greater(capability(sk1, sk2), capability(sk1, sk3))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.12/0.42 tff(108,plain,
% 0.12/0.42 (~smaller(capability(sk1, sk3), capability(sk1, sk2))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[107, 76, 104])).
% 0.12/0.42 tff(109,plain,
% 0.12/0.42 (greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) <=> greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(110,axiom,(greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_2_50')).
% 0.12/0.42 tff(111,plain,
% 0.12/0.42 (greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.12/0.42 tff(112,plain,
% 0.12/0.42 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(113,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[112])).
% 0.12/0.42 tff(114,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(115,plain,
% 0.12/0.42 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) <=> ((~organization(A)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> (((~organization(A)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | smaller(capability(A, B), capability(A, C))))), rewrite((((~organization(A)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(116,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[115])).
% 0.12/0.42 tff(117,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_5_42')).
% 0.12/0.42 tff(118,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.12/0.42 tff(119,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.12/0.42 tff(120,plain,(
% 0.12/0.42 ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.12/0.42 inference(skolemize,[status(sab)],[119])).
% 0.12/0.42 tff(121,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[120, 113])).
% 0.12/0.42 tff(122,plain,
% 0.12/0.42 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(123,plain,
% 0.12/0.42 (((~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))) <=> ((~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(124,plain,
% 0.12/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[123])).
% 0.12/0.43 tff(125,plain,
% 0.12/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.12/0.43 inference(transitivity,[status(thm)],[124, 122])).
% 0.12/0.43 tff(126,plain,
% 0.12/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(127,plain,
% 0.12/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.12/0.43 tff(128,plain,
% 0.12/0.43 (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[127, 121, 27, 111, 108])).
% 0.12/0.43 tff(129,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[128, 21])).
% 0.12/0.43 % SZS output end Proof
% 0.12/0.43 % E exiting
%------------------------------------------------------------------------------