TSTP Solution File: MGT042-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT042-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.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 05:22:09 EDT 2022
% Result : Unsatisfiable 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT042-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 02:52:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(smaller_or_equal_type, type, (
% 0.19/0.39 smaller_or_equal: ( $i * $i ) > $o)).
% 0.19/0.39 tff(stock_of_knowledge_type, type, (
% 0.19/0.39 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.19/0.39 tff(sk2_type, type, (
% 0.19/0.39 sk2: $i)).
% 0.19/0.39 tff(sk1_type, type, (
% 0.19/0.39 sk1: $i)).
% 0.19/0.39 tff(sk3_type, type, (
% 0.19/0.39 sk3: $i)).
% 0.19/0.39 tff(greater_or_equal_type, type, (
% 0.19/0.39 greater_or_equal: ( $i * $i ) > $o)).
% 0.19/0.39 tff(greater_type, type, (
% 0.19/0.39 greater: ( $i * $i ) > $o)).
% 0.19/0.39 tff(capability_type, type, (
% 0.19/0.39 capability: ( $i * $i ) > $i)).
% 0.19/0.39 tff(position_type, type, (
% 0.19/0.39 position: ( $i * $i ) > $i)).
% 0.19/0.39 tff(external_ties_type, type, (
% 0.19/0.39 external_ties: ( $i * $i ) > $i)).
% 0.19/0.39 tff(internal_friction_type, type, (
% 0.19/0.39 internal_friction: ( $i * $i ) > $i)).
% 0.19/0.39 tff(organization_type, type, (
% 0.19/0.39 organization: $i > $o)).
% 0.19/0.39 tff(smaller_type, type, (
% 0.19/0.39 smaller: ( $i * $i ) > $o)).
% 0.19/0.39 tff(hazard_of_mortality_type, type, (
% 0.19/0.39 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.19/0.39 tff(has_immunity_type, type, (
% 0.19/0.39 has_immunity: ( $i * $i ) > $o)).
% 0.19/0.39 tff(1,assumption,(~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), introduced(assumption)).
% 0.19/0.39 tff(2,assumption,(~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))), introduced(assumption)).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 ((greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))) <=> (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(4,plain,
% 0.19/0.39 ((greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) <=> (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(5,axiom,(greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_57')).
% 0.19/0.39 tff(6,plain,
% 0.19/0.39 (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.19/0.39 tff(7,plain,
% 0.19/0.39 (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.19/0.39 tff(8,plain,
% 0.19/0.39 (greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[7, 2])).
% 0.19/0.39 tff(9,plain,
% 0.19/0.39 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[9])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(12,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_greater_or_equal_5')).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.19/0.39 tff(14,plain,(
% 0.19/0.39 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.19/0.39 inference(skolemize,[status(sab)],[13])).
% 0.19/0.39 tff(15,plain,
% 0.19/0.39 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.19/0.39 tff(16,plain,
% 0.19/0.39 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(17,plain,
% 0.19/0.40 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(18,plain,
% 0.19/0.40 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.19/0.40 tff(19,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[18, 15, 8, 2])).
% 0.19/0.40 tff(20,plain,(greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(21,plain,
% 0.19/0.40 (^[B: $i, A: $i] : refl(((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ((A = B) | greater(A, B) | (~greater_or_equal(A, B))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(22,plain,
% 0.19/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[21])).
% 0.19/0.40 tff(23,plain,
% 0.19/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(24,plain,
% 0.19/0.40 (^[B: $i, A: $i] : rewrite((((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ((A = B) | greater(A, B) | (~greater_or_equal(A, B))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(25,plain,
% 0.19/0.40 (![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[24])).
% 0.19/0.40 tff(26,axiom,(![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_greater_or_equal_4')).
% 0.19/0.40 tff(27,plain,
% 0.19/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.19/0.40 tff(28,plain,
% 0.19/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.19/0.40 tff(29,plain,(
% 0.19/0.40 ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[28])).
% 0.19/0.40 tff(30,plain,
% 0.19/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[29, 22])).
% 0.19/0.40 tff(31,plain,
% 0.19/0.40 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(32,plain,
% 0.19/0.40 (((external_ties(sk1, sk3) = external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))) <=> (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(33,plain,
% 0.19/0.40 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((external_ties(sk1, sk3) = external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[32])).
% 0.19/0.40 tff(34,plain,
% 0.19/0.40 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((external_ties(sk1, sk3) = external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[33, 31])).
% 0.19/0.40 tff(35,plain,
% 0.19/0.40 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((external_ties(sk1, sk3) = external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(36,plain,
% 0.19/0.40 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.40 tff(37,plain,
% 0.19/0.40 (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[36, 30, 20])).
% 0.19/0.40 tff(38,plain,
% 0.19/0.40 (external_ties(sk1, sk3) = external_ties(sk1, sk2)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[37, 1])).
% 0.19/0.40 tff(39,plain,
% 0.19/0.40 ((greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) <=> (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(40,axiom,(greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_51')).
% 0.19/0.40 tff(41,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.40 tff(42,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[41, 39])).
% 0.19/0.40 tff(43,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[42, 39])).
% 0.19/0.40 tff(44,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[43, 39])).
% 0.19/0.40 tff(45,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[44, 39])).
% 0.19/0.40 tff(46,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[45, 39])).
% 0.19/0.40 tff(47,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.19/0.40 tff(48,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[47, 39])).
% 0.19/0.40 tff(49,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[48, 39])).
% 0.19/0.40 tff(50,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[49, 39])).
% 0.19/0.40 tff(51,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[50, 39])).
% 0.19/0.40 tff(52,plain,
% 0.19/0.40 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[51, 1])).
% 0.19/0.40 tff(53,plain,
% 0.19/0.40 (smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) <=> smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(54,plain,
% 0.19/0.40 ((smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) <=> smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(55,axiom,(smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_54')).
% 0.19/0.40 tff(56,plain,
% 0.19/0.40 (smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.19/0.40 tff(57,plain,
% 0.19/0.40 (smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[56, 53])).
% 0.19/0.40 tff(58,plain,
% 0.19/0.40 (organization(sk1) <=> organization(sk1)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(59,axiom,(organization(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_46')).
% 0.19/0.40 tff(60,plain,
% 0.19/0.40 (organization(sk1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.19/0.40 tff(61,plain,
% 0.19/0.40 (^[B: $i, A: $i, C: $i] : refl((greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(62,plain,
% 0.19/0.40 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[61])).
% 0.19/0.40 tff(63,plain,
% 0.19/0.40 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(64,plain,
% 0.19/0.40 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) <=> ((~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C))) <=> (((~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | greater(capability(A, B), capability(A, C))))), rewrite((((~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | greater(capability(A, B), capability(A, C))) <=> (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C))) <=> (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(65,plain,
% 0.19/0.40 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[64])).
% 0.19/0.40 tff(66,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_5_41')).
% 0.19/0.40 tff(67,plain,
% 0.19/0.40 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.19/0.40 tff(68,plain,
% 0.19/0.40 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.19/0.40 tff(69,plain,(
% 0.19/0.40 ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[68])).
% 0.19/0.40 tff(70,plain,
% 0.19/0.40 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[69, 62])).
% 0.19/0.40 tff(71,plain,
% 0.19/0.40 (((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (greater(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(72,plain,
% 0.19/0.41 ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (greater(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(73,plain,
% 0.19/0.41 ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.19/0.41 tff(74,plain,
% 0.19/0.41 (greater(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[73, 70, 60, 57])).
% 0.19/0.41 tff(75,plain,
% 0.19/0.41 (greater(capability(sk1, sk3), capability(sk1, sk2))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[74, 52])).
% 0.19/0.41 tff(76,plain,
% 0.19/0.41 ((~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) <=> (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(77,plain,
% 0.19/0.41 (((~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) | (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))) <=> (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(78,axiom,((~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) | (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_64')).
% 0.19/0.41 tff(79,plain,
% 0.19/0.41 (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.19/0.41 tff(80,plain,
% 0.19/0.41 (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[79, 76])).
% 0.19/0.41 tff(81,plain,
% 0.19/0.41 ((~has_immunity(sk1, sk3)) <=> (~has_immunity(sk1, sk3))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(82,axiom,(~has_immunity(sk1, sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_48')).
% 0.19/0.41 tff(83,plain,
% 0.19/0.41 (~has_immunity(sk1, sk3)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.19/0.41 tff(84,plain,
% 0.19/0.41 ((~has_immunity(sk1, sk2)) <=> (~has_immunity(sk1, sk2))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(85,axiom,(~has_immunity(sk1, sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_47')).
% 0.19/0.41 tff(86,plain,
% 0.19/0.41 (~has_immunity(sk1, sk2)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.19/0.41 tff(87,plain,
% 0.19/0.41 (^[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))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(88,plain,
% 0.19/0.41 (![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)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[87])).
% 0.19/0.41 tff(89,plain,
% 0.19/0.41 (![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)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(90,plain,
% 0.19/0.41 (^[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)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(91,plain,
% 0.19/0.41 (![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)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[90])).
% 0.19/0.41 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/sandbox/benchmark/theBenchmark.p','assumption_4_38')).
% 0.19/0.41 tff(93,plain,
% 0.19/0.41 (![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)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.19/0.41 tff(94,plain,
% 0.19/0.41 (![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)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.19/0.41 tff(95,plain,(
% 0.19/0.41 ![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)))),
% 0.19/0.41 inference(skolemize,[status(sab)],[94])).
% 0.19/0.41 tff(96,plain,
% 0.19/0.41 (![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)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[95, 88])).
% 0.19/0.41 tff(97,plain,
% 0.19/0.41 (((~![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)))) | (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | (~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, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | (~organization(sk1)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(98,plain,
% 0.19/0.41 ((smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1))) <=> (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | (~organization(sk1)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(99,plain,
% 0.19/0.41 (((~![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)))) | (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~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, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | (~organization(sk1))))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[98])).
% 0.19/0.41 tff(100,plain,
% 0.19/0.41 (((~![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)))) | (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~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, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | (~organization(sk1)))),
% 0.19/0.41 inference(transitivity,[status(thm)],[99, 97])).
% 0.19/0.41 tff(101,plain,
% 0.19/0.41 ((~![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)))) | (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(102,plain,
% 0.19/0.41 ((~![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)))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | (~organization(sk1))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.19/0.41 tff(103,plain,
% 0.19/0.41 ((~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[102, 96, 60, 86, 83, 80])).
% 0.19/0.41 tff(104,plain,
% 0.19/0.41 (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[103, 75])).
% 0.19/0.41 tff(105,plain,
% 0.19/0.41 (^[B: $i, A: $i] : refl(((~(A = B)) | greater_or_equal(A, B)) <=> ((~(A = B)) | greater_or_equal(A, B)))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(106,plain,
% 0.19/0.41 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[105])).
% 0.19/0.42 tff(107,plain,
% 0.19/0.42 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(108,axiom,(![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_greater_or_equal_6')).
% 0.19/0.42 tff(109,plain,
% 0.19/0.42 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.19/0.42 tff(110,plain,(
% 0.19/0.42 ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.19/0.42 inference(skolemize,[status(sab)],[109])).
% 0.19/0.42 tff(111,plain,
% 0.19/0.42 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[110, 106])).
% 0.19/0.42 tff(112,plain,
% 0.19/0.42 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(position(sk1, sk3) = position(sk1, sk2))) | greater_or_equal(position(sk1, sk3), position(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | (~(position(sk1, sk3) = position(sk1, sk2))) | greater_or_equal(position(sk1, sk3), position(sk1, sk2)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(113,plain,
% 0.19/0.42 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(position(sk1, sk3) = position(sk1, sk2))) | greater_or_equal(position(sk1, sk3), position(sk1, sk2)))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(114,plain,
% 0.19/0.42 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | (~(position(sk1, sk3) = position(sk1, sk2))) | greater_or_equal(position(sk1, sk3), position(sk1, sk2))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.19/0.42 tff(115,plain,
% 0.19/0.42 (~(position(sk1, sk3) = position(sk1, sk2))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[114, 111, 104])).
% 0.19/0.42 tff(116,plain,
% 0.19/0.42 (^[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)))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(117,plain,
% 0.19/0.42 (![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))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[116])).
% 0.19/0.42 tff(118,plain,
% 0.19/0.42 (![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))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(119,plain,
% 0.19/0.42 (^[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)))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(120,plain,
% 0.19/0.42 (![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))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[119])).
% 0.19/0.42 tff(121,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/sandbox/benchmark/theBenchmark.p','assumption_6_45')).
% 0.19/0.42 tff(122,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.19/0.42 tff(123,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.19/0.42 tff(124,plain,(
% 0.19/0.42 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.19/0.42 inference(skolemize,[status(sab)],[123])).
% 0.19/0.42 tff(125,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.19/0.42 tff(126,plain,
% 0.19/0.42 (((~![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, sk3) = position(sk1, sk2)) | (~(external_ties(sk1, sk3) = external_ties(sk1, sk2))))) <=> ((~![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, sk3) = position(sk1, sk2)) | (~(external_ties(sk1, sk3) = external_ties(sk1, sk2))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(127,plain,
% 0.19/0.42 ((~![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, sk3) = position(sk1, sk2)) | (~(external_ties(sk1, sk3) = external_ties(sk1, sk2))))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(128,plain,
% 0.19/0.42 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | (~organization(sk1)) | (position(sk1, sk3) = position(sk1, sk2)) | (~(external_ties(sk1, sk3) = external_ties(sk1, sk2)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.19/0.42 tff(129,plain,
% 0.19/0.42 ($false),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[128, 125, 60, 115, 38])).
% 0.19/0.42 tff(130,plain,(greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.42 tff(131,plain,
% 0.19/0.42 (^[B: $i, A: $i, C: $i] : refl((greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))) <=> (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(132,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[131])).
% 0.19/0.42 tff(133,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(134,plain,
% 0.19/0.42 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) | greater(position(A, B), position(A, C))) <=> (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(135,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) | greater(position(A, B), position(A, C))) <=> ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[134])).
% 0.19/0.42 tff(136,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) | greater(position(A, B), position(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_6_44')).
% 0.19/0.42 tff(137,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.19/0.42 tff(138,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[137, 133])).
% 0.19/0.42 tff(139,plain,(
% 0.19/0.42 ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.19/0.42 inference(skolemize,[status(sab)],[138])).
% 0.19/0.42 tff(140,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[139, 132])).
% 0.19/0.42 tff(141,plain,
% 0.19/0.42 (((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | ((~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(142,plain,
% 0.19/0.42 ((greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | (~organization(sk1))) <=> ((~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(143,plain,
% 0.19/0.42 (((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | (~organization(sk1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | ((~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[142])).
% 0.19/0.42 tff(144,plain,
% 0.19/0.42 (((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | (~organization(sk1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.19/0.42 inference(transitivity,[status(thm)],[143, 141])).
% 0.19/0.42 tff(145,plain,
% 0.19/0.42 ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | (~organization(sk1)))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(146,plain,
% 0.19/0.42 ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.19/0.42 tff(147,plain,
% 0.19/0.42 (greater(position(sk1, sk3), position(sk1, sk2))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[146, 140, 60, 130])).
% 0.19/0.42 tff(148,plain,
% 0.19/0.42 (^[B: $i, A: $i, C: $i] : refl((smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(149,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[148])).
% 0.19/0.42 tff(150,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(151,plain,
% 0.19/0.42 (^[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_or_equal(capability(A, C), capability(A, B)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater_or_equal(capability(A, C), capability(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(capability(A, C), capability(A, B))))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(capability(A, C), capability(A, B)))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))))), (((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))), (((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(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)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(152,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(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)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[151])).
% 0.19/0.42 tff(153,axiom,(![B: $i, A: $i, C: $i] : ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_4_39')).
% 0.19/0.42 tff(154,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.19/0.42 tff(155,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[154, 150])).
% 0.19/0.42 tff(156,plain,(
% 0.19/0.42 ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.19/0.42 inference(skolemize,[status(sab)],[155])).
% 0.19/0.42 tff(157,plain,
% 0.19/0.42 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[156, 149])).
% 0.19/0.42 tff(158,plain,
% 0.19/0.42 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(159,plain,
% 0.19/0.43 ((smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))) <=> (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(160,plain,
% 0.19/0.43 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[159])).
% 0.19/0.43 tff(161,plain,
% 0.19/0.43 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.19/0.43 inference(transitivity,[status(thm)],[160, 158])).
% 0.19/0.43 tff(162,plain,
% 0.19/0.43 ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(163,plain,
% 0.19/0.43 ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.19/0.43 tff(164,plain,
% 0.19/0.43 ((~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[163, 157, 60, 86, 83, 80])).
% 0.19/0.43 tff(165,plain,
% 0.19/0.43 (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[164, 147])).
% 0.19/0.43 tff(166,plain,
% 0.19/0.43 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(capability(sk1, sk3), capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(167,plain,
% 0.19/0.43 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(capability(sk1, sk3), capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(168,plain,
% 0.19/0.43 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.19/0.43 tff(169,plain,
% 0.19/0.43 (~greater(capability(sk1, sk3), capability(sk1, sk2))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[168, 15, 165])).
% 0.19/0.43 tff(170,plain,
% 0.19/0.43 (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[74, 169])).
% 0.19/0.43 tff(171,plain,
% 0.19/0.43 ((greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))) <=> (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(172,axiom,(greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_49')).
% 0.19/0.43 tff(173,plain,
% 0.19/0.43 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.19/0.43 tff(174,plain,
% 0.19/0.43 (greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[173, 170])).
% 0.19/0.43 tff(175,plain,
% 0.19/0.43 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(176,plain,
% 0.19/0.43 (((stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))) <=> (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(177,plain,
% 0.19/0.43 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[176])).
% 0.19/0.43 tff(178,plain,
% 0.19/0.43 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.19/0.43 inference(transitivity,[status(thm)],[177, 175])).
% 0.19/0.43 tff(179,plain,
% 0.19/0.43 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(180,plain,
% 0.19/0.43 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.19/0.43 tff(181,plain,
% 0.19/0.43 (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[180, 30, 170, 174])).
% 0.19/0.43 tff(182,plain,
% 0.19/0.43 (stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk3)),
% 0.19/0.43 inference(symmetry,[status(thm)],[181])).
% 0.19/0.43 tff(183,plain,
% 0.19/0.43 (smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[182])).
% 0.19/0.43 tff(184,plain,
% 0.19/0.43 (smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.19/0.43 inference(symmetry,[status(thm)],[183])).
% 0.19/0.43 tff(185,plain,
% 0.19/0.43 ((~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))) <=> (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[184])).
% 0.19/0.43 tff(186,plain,
% 0.19/0.43 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(capability(sk1, sk3) = capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | (~(capability(sk1, sk3) = capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(187,plain,
% 0.19/0.43 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(capability(sk1, sk3) = capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(188,plain,
% 0.19/0.43 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | (~(capability(sk1, sk3) = capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.19/0.43 tff(189,plain,
% 0.19/0.43 (~(capability(sk1, sk3) = capability(sk1, sk2))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[188, 111, 165])).
% 0.19/0.43 tff(190,plain,
% 0.19/0.43 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) <=> ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(191,plain,
% 0.19/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[190])).
% 0.19/0.43 tff(192,plain,
% 0.19/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(193,plain,
% 0.19/0.43 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) <=> ((~organization(A)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))), (((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) | (capability(A, B) = capability(A, C))) <=> (((~organization(A)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (capability(A, B) = capability(A, C))))), rewrite((((~organization(A)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (capability(A, B) = capability(A, C))) <=> ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))), (((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) | (capability(A, B) = capability(A, C))) <=> ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(194,plain,
% 0.19/0.43 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) | (capability(A, B) = capability(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[193])).
% 0.19/0.43 tff(195,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) | (capability(A, B) = capability(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_5_43')).
% 0.19/0.43 tff(196,plain,
% 0.19/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.19/0.43 tff(197,plain,
% 0.19/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[196, 192])).
% 0.19/0.43 tff(198,plain,(
% 0.19/0.43 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.19/0.44 inference(skolemize,[status(sab)],[197])).
% 0.19/0.44 tff(199,plain,
% 0.19/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[198, 191])).
% 0.19/0.44 tff(200,plain,
% 0.19/0.44 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))) | ((~organization(sk1)) | (capability(sk1, sk3) = capability(sk1, sk2)) | (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))) | (~organization(sk1)) | (capability(sk1, sk3) = capability(sk1, sk2)) | (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(201,plain,
% 0.19/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))) | ((~organization(sk1)) | (capability(sk1, sk3) = capability(sk1, sk2)) | (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(202,plain,
% 0.19/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))) | (~organization(sk1)) | (capability(sk1, sk3) = capability(sk1, sk2)) | (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.19/0.44 tff(203,plain,
% 0.19/0.44 ((~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[202, 199, 60, 189])).
% 0.19/0.44 tff(204,plain,
% 0.19/0.44 (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[203, 181])).
% 0.19/0.44 tff(205,plain,
% 0.19/0.44 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(206,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[205])).
% 0.19/0.44 tff(207,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(208,plain,
% 0.19/0.44 (^[B: $i, A: $i] : rewrite((((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(209,plain,
% 0.19/0.44 (![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[208])).
% 0.19/0.44 tff(210,axiom,(![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_1')).
% 0.19/0.44 tff(211,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.19/0.44 tff(212,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[211, 207])).
% 0.19/0.44 tff(213,plain,(
% 0.19/0.44 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.19/0.44 inference(skolemize,[status(sab)],[212])).
% 0.19/0.44 tff(214,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[213, 206])).
% 0.19/0.44 tff(215,plain,
% 0.19/0.44 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(216,plain,
% 0.19/0.44 (((internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))) <=> ((~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(217,plain,
% 0.19/0.44 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[216])).
% 0.19/0.44 tff(218,plain,
% 0.19/0.44 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))),
% 0.19/0.44 inference(transitivity,[status(thm)],[217, 215])).
% 0.19/0.44 tff(219,plain,
% 0.19/0.44 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(220,plain,
% 0.19/0.44 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.19/0.44 tff(221,plain,
% 0.19/0.44 ((internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[220, 214, 57])).
% 0.19/0.44 tff(222,plain,
% 0.19/0.44 (smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[221, 204])).
% 0.19/0.44 tff(223,plain,
% 0.19/0.44 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(224,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[223])).
% 0.19/0.44 tff(225,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(226,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.19/0.44 tff(227,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.19/0.44 tff(228,plain,(
% 0.19/0.44 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.19/0.44 inference(skolemize,[status(sab)],[227])).
% 0.19/0.44 tff(229,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[228, 224])).
% 0.19/0.44 tff(230,plain,
% 0.19/0.44 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(231,plain,
% 0.19/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(232,plain,
% 0.19/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.19/0.44 tff(233,plain,
% 0.19/0.44 (greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[232, 229, 222])).
% 0.19/0.44 tff(234,plain,
% 0.19/0.44 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk1, sk2), capability(sk1, sk3))) | greater(capability(sk1, sk3), capability(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk1, sk2), capability(sk1, sk3))) | greater(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(235,plain,
% 0.19/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk1, sk2), capability(sk1, sk3))) | greater(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(236,plain,
% 0.19/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk1, sk2), capability(sk1, sk3))) | greater(capability(sk1, sk3), capability(sk1, sk2))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.19/0.44 tff(237,plain,
% 0.19/0.44 (~smaller(capability(sk1, sk2), capability(sk1, sk3))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[236, 229, 169])).
% 0.19/0.44 tff(238,plain,
% 0.19/0.44 (^[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)))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(239,plain,
% 0.19/0.44 (![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))))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[238])).
% 0.19/0.44 tff(240,plain,
% 0.19/0.44 (![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))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(241,plain,
% 0.19/0.44 (^[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))))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(242,plain,
% 0.19/0.44 (![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))))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[241])).
% 0.19/0.44 tff(243,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/sandbox/benchmark/theBenchmark.p','assumption_5_42')).
% 0.19/0.44 tff(244,plain,
% 0.19/0.44 (![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))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.19/0.44 tff(245,plain,
% 0.19/0.44 (![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))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[244, 240])).
% 0.19/0.44 tff(246,plain,(
% 0.19/0.44 ![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))))),
% 0.19/0.44 inference(skolemize,[status(sab)],[245])).
% 0.19/0.44 tff(247,plain,
% 0.19/0.44 (![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))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[246, 239])).
% 0.19/0.44 tff(248,plain,
% 0.19/0.44 (((~![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, sk2), capability(sk1, sk3)) | (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))))) <=> ((~![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, sk2), capability(sk1, sk3)) | (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(249,plain,
% 0.19/0.44 ((~![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, sk2), capability(sk1, sk3)) | (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(250,plain,
% 0.19/0.44 ((~![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, sk2), capability(sk1, sk3)) | (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.19/0.44 tff(251,plain,
% 0.19/0.44 ((~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3)))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[250, 247, 60, 237])).
% 0.19/0.44 tff(252,plain,
% 0.19/0.44 (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[251, 233])).
% 0.19/0.44 tff(253,plain,
% 0.19/0.44 (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[252, 185])).
% 0.19/0.44 tff(254,plain,
% 0.19/0.44 (^[B: $i, A: $i] : refl(((~(A = B)) | smaller_or_equal(A, B)) <=> ((~(A = B)) | smaller_or_equal(A, B)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(255,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[254])).
% 0.19/0.44 tff(256,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(257,axiom,(![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_3')).
% 0.19/0.44 tff(258,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.19/0.44 tff(259,plain,(
% 0.19/0.44 ![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.19/0.44 inference(skolemize,[status(sab)],[258])).
% 0.19/0.44 tff(260,plain,
% 0.19/0.44 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[259, 255])).
% 0.19/0.44 tff(261,plain,
% 0.19/0.44 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(262,plain,
% 0.19/0.45 (($false | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))) <=> smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(263,plain,
% 0.19/0.45 ((~$true) <=> $false),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(264,plain,
% 0.19/0.45 ((stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk2)) <=> $true),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(265,plain,
% 0.19/0.45 ((~(stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk2))) <=> (~$true)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[264])).
% 0.19/0.45 tff(266,plain,
% 0.19/0.45 ((~(stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk2))) <=> $false),
% 0.19/0.45 inference(transitivity,[status(thm)],[265, 263])).
% 0.19/0.45 tff(267,plain,
% 0.19/0.45 (((~(stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk2))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))) <=> ($false | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[266])).
% 0.19/0.45 tff(268,plain,
% 0.19/0.45 (((~(stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk2))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))) <=> smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.19/0.45 inference(transitivity,[status(thm)],[267, 262])).
% 0.19/0.45 tff(269,plain,
% 0.19/0.45 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk2))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[268])).
% 0.19/0.45 tff(270,plain,
% 0.19/0.45 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk2))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.45 inference(transitivity,[status(thm)],[269, 261])).
% 0.19/0.45 tff(271,plain,
% 0.19/0.45 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk2))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(272,plain,
% 0.19/0.45 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[271, 270])).
% 0.19/0.45 tff(273,plain,
% 0.19/0.45 (smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[272, 260])).
% 0.19/0.45 tff(274,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[273, 253])).
% 0.19/0.45 % SZS output end Proof
%------------------------------------------------------------------------------