%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NLP094-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 : Sat Jun 21 05:17:58 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.51s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NLP094-1 : TPTP v9.0.0. Released v2.4.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 23:44:35 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.51 % SZS status Unsatisfiable
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 tff(coffee_type, type, (
% 0.20/0.51 coffee: ( $i * $i ) > $o)).
% 0.20/0.51 tff(skf14_type, type, (
% 0.20/0.51 skf14: $i > $i)).
% 0.20/0.51 tff(skf25_type, type, (
% 0.20/0.51 skf25: $i > $i)).
% 0.20/0.51 tff(skc2_type, type, (
% 0.20/0.51 skc2: $i)).
% 0.20/0.51 tff(nonreflexive_type, type, (
% 0.20/0.51 nonreflexive: ( $i * $i ) > $o)).
% 0.20/0.51 tff(skf13_type, type, (
% 0.20/0.51 skf13: $i > $i)).
% 0.20/0.51 tff(customer_type, type, (
% 0.20/0.51 customer: ( $i * $i ) > $o)).
% 0.20/0.51 tff(ssSkC0_type, type, (
% 0.20/0.51 ssSkC0: $o)).
% 0.20/0.51 tff(skf27_type, type, (
% 0.20/0.51 skf27: $i > $i)).
% 0.20/0.51 tff(skf39_type, type, (
% 0.20/0.51 skf39: $i > $i)).
% 0.20/0.51 tff(skc13_type, type, (
% 0.20/0.51 skc13: $i)).
% 0.20/0.51 tff(restaurant_type, type, (
% 0.20/0.51 restaurant: ( $i * $i ) > $o)).
% 0.20/0.51 tff(skf34_type, type, (
% 0.20/0.51 skf34: $i > $i)).
% 0.20/0.51 tff(actual_world_type, type, (
% 0.20/0.51 actual_world: $i > $o)).
% 0.20/0.51 tff(in_type, type, (
% 0.20/0.51 in: ( $i * $i * $i ) > $o)).
% 0.20/0.51 tff(past_type, type, (
% 0.20/0.51 past: ( $i * $i ) > $o)).
% 0.20/0.51 tff(event_type, type, (
% 0.20/0.51 event: ( $i * $i ) > $o)).
% 0.20/0.51 tff(patient_type, type, (
% 0.20/0.51 patient: ( $i * $i * $i ) > $o)).
% 0.20/0.51 tff(skf28_type, type, (
% 0.20/0.51 skf28: $i > $i)).
% 0.20/0.51 tff(agent_type, type, (
% 0.20/0.51 agent: ( $i * $i * $i ) > $o)).
% 0.20/0.51 tff(skf29_type, type, (
% 0.20/0.51 skf29: $i > $i)).
% 0.20/0.51 tff(human_person_type, type, (
% 0.20/0.51 human_person: ( $i * $i ) > $o)).
% 0.20/0.51 tff(skf26_type, type, (
% 0.20/0.51 skf26: $i > $i)).
% 0.20/0.51 tff(see_type, type, (
% 0.20/0.51 see: ( $i * $i ) > $o)).
% 0.20/0.51 tff(drink_type, type, (
% 0.20/0.51 drink: ( $i * $i ) > $o)).
% 0.20/0.51 tff(skf20_type, type, (
% 0.20/0.51 skf20: $i > $i)).
% 0.20/0.51 tff(skf15_type, type, (
% 0.20/0.51 skf15: $i > $i)).
% 0.20/0.51 tff(skf12_type, type, (
% 0.20/0.51 skf12: $i > $i)).
% 0.20/0.51 tff(1,assumption,(~ssSkC0), introduced(assumption)).
% 0.20/0.51 tff(2,plain,
% 0.20/0.51 (^[U: $i] : refl((ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(3,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[2])).
% 0.20/0.51 tff(4,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(5,plain,
% 0.20/0.51 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)))), ((((~actual_world(U)) | ssSkC0) | restaurant(U, skf34(U))) <=> ((ssSkC0 | (~actual_world(U))) | restaurant(U, skf34(U))))), rewrite(((ssSkC0 | (~actual_world(U))) | restaurant(U, skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))), ((((~actual_world(U)) | ssSkC0) | restaurant(U, skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(6,plain,
% 0.20/0.51 (![U: $i] : (((~actual_world(U)) | ssSkC0) | restaurant(U, skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[5])).
% 0.20/0.51 tff(7,axiom,(![U: $i] : (((~actual_world(U)) | ssSkC0) | restaurant(U, skf34(U)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause4')).
% 0.20/0.51 tff(8,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.20/0.51 tff(9,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.20/0.51 tff(10,plain,(
% 0.20/0.51 ![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[9])).
% 0.20/0.51 tff(11,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.20/0.51 tff(12,plain,
% 0.20/0.51 (actual_world(skc13) <=> actual_world(skc13)),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(13,axiom,(actual_world(skc13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 0.20/0.51 tff(14,plain,
% 0.20/0.51 (actual_world(skc13)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.20/0.51 tff(15,plain,
% 0.20/0.51 (((~![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))) | (ssSkC0 | (~actual_world(skc13)) | restaurant(skc13, skf34(skc13)))) <=> ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))) | ssSkC0 | (~actual_world(skc13)) | restaurant(skc13, skf34(skc13)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(16,plain,
% 0.20/0.51 ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))) | (ssSkC0 | (~actual_world(skc13)) | restaurant(skc13, skf34(skc13)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(17,plain,
% 0.20/0.51 ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))) | ssSkC0 | (~actual_world(skc13)) | restaurant(skc13, skf34(skc13))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.51 tff(18,plain,
% 0.20/0.51 (ssSkC0 | restaurant(skc13, skf34(skc13))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[17, 14, 11])).
% 0.20/0.51 tff(19,plain,
% 0.20/0.51 (restaurant(skc13, skf34(skc13))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[18, 1])).
% 0.20/0.51 tff(20,plain,
% 0.20/0.51 (^[U: $i] : refl((ssSkC0 | customer(U, skf39(U)) | (~actual_world(U))) <=> (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(21,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U))) <=> ![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[20])).
% 0.20/0.51 tff(22,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U))) <=> ![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(23,plain,
% 0.20/0.51 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)))), ((((~actual_world(U)) | ssSkC0) | customer(U, skf39(U))) <=> ((ssSkC0 | (~actual_world(U))) | customer(U, skf39(U))))), rewrite(((ssSkC0 | (~actual_world(U))) | customer(U, skf39(U))) <=> (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))), ((((~actual_world(U)) | ssSkC0) | customer(U, skf39(U))) <=> (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(24,plain,
% 0.20/0.51 (![U: $i] : (((~actual_world(U)) | ssSkC0) | customer(U, skf39(U))) <=> ![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[23])).
% 0.20/0.51 tff(25,axiom,(![U: $i] : (((~actual_world(U)) | ssSkC0) | customer(U, skf39(U)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause3')).
% 0.20/0.51 tff(26,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.20/0.51 tff(27,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.20/0.51 tff(28,plain,(
% 0.20/0.51 ![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[27])).
% 0.20/0.51 tff(29,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[28, 21])).
% 0.20/0.51 tff(30,plain,
% 0.20/0.51 (((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13)))) <=> ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(31,plain,
% 0.20/0.51 ((ssSkC0 | customer(skc13, skf39(skc13)) | (~actual_world(skc13))) <=> (ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(32,plain,
% 0.20/0.51 (((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | customer(skc13, skf39(skc13)) | (~actual_world(skc13)))) <=> ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[31])).
% 0.20/0.51 tff(33,plain,
% 0.20/0.51 (((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | customer(skc13, skf39(skc13)) | (~actual_world(skc13)))) <=> ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13)))),
% 0.20/0.51 inference(transitivity,[status(thm)],[32, 30])).
% 0.20/0.51 tff(34,plain,
% 0.20/0.51 ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | customer(skc13, skf39(skc13)) | (~actual_world(skc13)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(35,plain,
% 0.20/0.51 ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.20/0.51 tff(36,plain,
% 0.20/0.51 (ssSkC0 | customer(skc13, skf39(skc13))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[35, 14, 29])).
% 0.20/0.51 tff(37,plain,
% 0.20/0.51 (customer(skc13, skf39(skc13))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[36, 1])).
% 0.20/0.51 tff(38,plain,
% 0.20/0.51 (^[U: $i] : refl((ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(39,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[38])).
% 0.20/0.51 tff(40,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(41,plain,
% 0.20/0.51 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)))), ((((~actual_world(U)) | ssSkC0) | in(U, skf39(U), skf34(U))) <=> ((ssSkC0 | (~actual_world(U))) | in(U, skf39(U), skf34(U))))), rewrite(((ssSkC0 | (~actual_world(U))) | in(U, skf39(U), skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))), ((((~actual_world(U)) | ssSkC0) | in(U, skf39(U), skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(42,plain,
% 0.20/0.51 (![U: $i] : (((~actual_world(U)) | ssSkC0) | in(U, skf39(U), skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[41])).
% 0.20/0.51 tff(43,axiom,(![U: $i] : (((~actual_world(U)) | ssSkC0) | in(U, skf39(U), skf34(U)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause7')).
% 0.20/0.51 tff(44,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.20/0.51 tff(45,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.20/0.51 tff(46,plain,(
% 0.20/0.51 ![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[45])).
% 0.20/0.51 tff(47,plain,
% 0.20/0.51 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.20/0.51 tff(48,plain,
% 0.20/0.51 (((~![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))) | (ssSkC0 | (~actual_world(skc13)) | in(skc13, skf39(skc13), skf34(skc13)))) <=> ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))) | ssSkC0 | (~actual_world(skc13)) | in(skc13, skf39(skc13), skf34(skc13)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(49,plain,
% 0.20/0.51 ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))) | (ssSkC0 | (~actual_world(skc13)) | in(skc13, skf39(skc13), skf34(skc13)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(50,plain,
% 0.20/0.51 ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))) | ssSkC0 | (~actual_world(skc13)) | in(skc13, skf39(skc13), skf34(skc13))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.20/0.51 tff(51,plain,
% 0.20/0.51 (ssSkC0 | in(skc13, skf39(skc13), skf34(skc13))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[50, 14, 47])).
% 0.20/0.51 tff(52,plain,
% 0.20/0.51 (in(skc13, skf39(skc13), skf34(skc13))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[51, 1])).
% 0.20/0.51 tff(53,plain,
% 0.20/0.51 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(54,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[53])).
% 0.20/0.51 tff(55,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(56,plain,
% 0.20/0.51 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf27(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | nonreflexive(skc13, skf27(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | nonreflexive(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(57,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[56])).
% 0.20/0.51 tff(58,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf27(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause15')).
% 0.20/0.51 tff(59,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.51 tff(60,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.20/0.51 tff(61,plain,(
% 0.20/0.51 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[60])).
% 0.20/0.51 tff(62,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[61, 54])).
% 0.20/0.51 tff(63,plain,
% 0.20/0.51 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf27(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf27(skf39(skc13))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(64,plain,
% 0.20/0.51 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf27(skf39(skc13))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(65,plain,
% 0.20/0.51 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf27(skf39(skc13)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.20/0.51 tff(66,plain,
% 0.20/0.51 (nonreflexive(skc13, skf27(skf39(skc13)))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[65, 62, 1, 52, 37, 19])).
% 0.20/0.51 tff(67,plain,
% 0.20/0.51 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(68,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[67])).
% 0.20/0.51 tff(69,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(70,plain,
% 0.20/0.51 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf27(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | past(skc13, skf27(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | past(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(71,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[70])).
% 0.20/0.51 tff(72,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf27(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause16')).
% 0.20/0.51 tff(73,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.20/0.51 tff(74,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[73, 69])).
% 0.20/0.51 tff(75,plain,(
% 0.20/0.51 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[74])).
% 0.20/0.51 tff(76,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[75, 68])).
% 0.20/0.51 tff(77,plain,
% 0.20/0.51 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf27(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf27(skf39(skc13))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(78,plain,
% 0.20/0.51 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf27(skf39(skc13))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(79,plain,
% 0.20/0.51 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf27(skf39(skc13)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.20/0.51 tff(80,plain,
% 0.20/0.51 (past(skc13, skf27(skf39(skc13)))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[79, 76, 1, 52, 37, 19])).
% 0.20/0.51 tff(81,plain,
% 0.20/0.51 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(82,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[81])).
% 0.20/0.51 tff(83,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(84,plain,
% 0.20/0.51 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf27(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | event(skc13, skf27(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | event(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(85,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[84])).
% 0.20/0.52 tff(86,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf27(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause17')).
% 0.20/0.52 tff(87,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.20/0.52 tff(88,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[87, 83])).
% 0.20/0.52 tff(89,plain,(
% 0.20/0.52 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[88])).
% 0.20/0.52 tff(90,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.20/0.52 tff(91,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf27(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf27(skf39(skc13))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(92,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf27(skf39(skc13))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(93,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf27(skf39(skc13)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.20/0.52 tff(94,plain,
% 0.20/0.52 (event(skc13, skf27(skf39(skc13)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[93, 90, 1, 52, 37, 19])).
% 0.20/0.52 tff(95,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(96,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[95])).
% 0.20/0.52 tff(97,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(98,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf27(W), skf28(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | patient(skc13, skf27(W), skf28(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | patient(skc13, skf27(W), skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf27(W), skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(99,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf27(W), skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[98])).
% 0.20/0.52 tff(100,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf27(W), skf28(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause33')).
% 0.20/0.52 tff(101,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.20/0.52 tff(102,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[101, 97])).
% 0.20/0.52 tff(103,plain,(
% 0.20/0.52 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[102])).
% 0.20/0.52 tff(104,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[103, 96])).
% 0.20/0.52 tff(105,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(106,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(107,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.20/0.52 tff(108,plain,
% 0.20/0.52 (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[107, 104])).
% 0.20/0.52 tff(109,plain,
% 0.20/0.52 (patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[108, 52, 37, 19, 1])).
% 0.20/0.52 tff(110,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(111,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[110])).
% 0.20/0.52 tff(112,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(113,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf27(W), skf29(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | agent(skc13, skf27(W), skf29(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | agent(skc13, skf27(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf27(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(114,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf27(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[113])).
% 0.20/0.52 tff(115,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf27(W), skf29(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause32')).
% 0.20/0.52 tff(116,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.20/0.52 tff(117,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[116, 112])).
% 0.20/0.52 tff(118,plain,(
% 0.20/0.52 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[117])).
% 0.20/0.52 tff(119,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[118, 111])).
% 0.20/0.52 tff(120,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(121,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(122,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.20/0.52 tff(123,plain,
% 0.20/0.52 (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[122, 119])).
% 0.20/0.52 tff(124,plain,
% 0.20/0.52 (agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[123, 52, 37, 19, 1])).
% 0.20/0.52 tff(125,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(126,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[125])).
% 0.20/0.52 tff(127,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(128,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | human_person(skc13, skf29(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | human_person(skc13, skf29(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | human_person(skc13, skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | human_person(skc13, skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(129,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | human_person(skc13, skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[128])).
% 0.20/0.52 tff(130,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | human_person(skc13, skf29(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause13')).
% 0.20/0.52 tff(131,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.20/0.52 tff(132,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[131, 127])).
% 0.20/0.52 tff(133,plain,(
% 0.20/0.52 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[132])).
% 0.20/0.52 tff(134,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[133, 126])).
% 0.20/0.52 tff(135,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | human_person(skc13, skf29(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | human_person(skc13, skf29(skf39(skc13))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(136,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | human_person(skc13, skf29(skf39(skc13))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(137,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | human_person(skc13, skf29(skf39(skc13)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.20/0.53 tff(138,plain,
% 0.20/0.53 (human_person(skc13, skf29(skf39(skc13)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[137, 134, 1, 52, 37, 19])).
% 0.20/0.53 tff(139,plain,
% 0.20/0.53 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(140,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[139])).
% 0.20/0.53 tff(141,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(142,plain,
% 0.20/0.53 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf26(W), skf29(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | patient(skc13, skf26(W), skf29(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | patient(skc13, skf26(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf26(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(143,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf26(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[142])).
% 0.20/0.53 tff(144,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf26(W), skf29(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause31')).
% 0.20/0.53 tff(145,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.20/0.53 tff(146,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[145, 141])).
% 0.38/0.53 tff(147,plain,(
% 0.38/0.53 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.38/0.53 inference(skolemize,[status(sab)],[146])).
% 0.38/0.53 tff(148,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[147, 140])).
% 0.38/0.53 tff(149,plain,
% 0.38/0.53 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13))))),
% 0.38/0.53 inference(rewrite,[status(thm)],[])).
% 0.38/0.53 tff(150,plain,
% 0.38/0.53 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13))))),
% 0.38/0.53 inference(quant_inst,[status(thm)],[])).
% 0.38/0.53 tff(151,plain,
% 0.38/0.53 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.38/0.53 tff(152,plain,
% 0.38/0.53 (patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))),
% 0.38/0.53 inference(unit_resolution,[status(thm)],[151, 148, 1, 52, 37, 19])).
% 0.38/0.53 tff(153,plain,
% 0.38/0.53 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W))))),
% 0.38/0.53 inference(bind,[status(th)],[])).
% 0.38/0.53 tff(154,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.38/0.53 inference(quant_intro,[status(thm)],[153])).
% 0.38/0.53 tff(155,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.38/0.53 inference(rewrite,[status(thm)],[])).
% 0.38/0.53 tff(156,plain,
% 0.38/0.53 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf26(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | nonreflexive(skc13, skf26(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | nonreflexive(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))))),
% 0.38/0.53 inference(bind,[status(th)],[])).
% 0.38/0.53 tff(157,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.38/0.53 inference(quant_intro,[status(thm)],[156])).
% 0.38/0.53 tff(158,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf26(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause11')).
% 0.38/0.53 tff(159,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.38/0.53 tff(160,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[159, 155])).
% 0.38/0.53 tff(161,plain,(
% 0.38/0.53 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.38/0.53 inference(skolemize,[status(sab)],[160])).
% 0.38/0.53 tff(162,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[161, 154])).
% 0.38/0.53 tff(163,plain,
% 0.38/0.53 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf26(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf26(skf39(skc13))))),
% 0.38/0.53 inference(rewrite,[status(thm)],[])).
% 0.38/0.53 tff(164,plain,
% 0.38/0.53 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf26(skf39(skc13))))),
% 0.38/0.53 inference(quant_inst,[status(thm)],[])).
% 0.38/0.53 tff(165,plain,
% 0.38/0.53 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf26(skf39(skc13)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.38/0.53 tff(166,plain,
% 0.38/0.53 (nonreflexive(skc13, skf26(skf39(skc13)))),
% 0.38/0.53 inference(unit_resolution,[status(thm)],[165, 162, 1, 52, 37, 19])).
% 0.38/0.53 tff(167,plain,
% 0.38/0.53 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W))))),
% 0.38/0.53 inference(bind,[status(th)],[])).
% 0.38/0.53 tff(168,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.38/0.53 inference(quant_intro,[status(thm)],[167])).
% 0.38/0.53 tff(169,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.38/0.53 inference(rewrite,[status(thm)],[])).
% 0.38/0.53 tff(170,plain,
% 0.38/0.53 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf26(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | past(skc13, skf26(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | past(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))))),
% 0.38/0.53 inference(bind,[status(th)],[])).
% 0.38/0.53 tff(171,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.38/0.53 inference(quant_intro,[status(thm)],[170])).
% 0.38/0.53 tff(172,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf26(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause10')).
% 0.38/0.53 tff(173,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.38/0.53 tff(174,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[173, 169])).
% 0.38/0.53 tff(175,plain,(
% 0.38/0.53 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.38/0.53 inference(skolemize,[status(sab)],[174])).
% 0.38/0.53 tff(176,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[175, 168])).
% 0.38/0.53 tff(177,plain,
% 0.38/0.53 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf26(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf26(skf39(skc13))))),
% 0.38/0.53 inference(rewrite,[status(thm)],[])).
% 0.38/0.53 tff(178,plain,
% 0.38/0.53 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf26(skf39(skc13))))),
% 0.38/0.53 inference(quant_inst,[status(thm)],[])).
% 0.38/0.53 tff(179,plain,
% 0.38/0.53 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf26(skf39(skc13)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.38/0.53 tff(180,plain,
% 0.38/0.53 (past(skc13, skf26(skf39(skc13)))),
% 0.38/0.53 inference(unit_resolution,[status(thm)],[179, 176, 1, 52, 37, 19])).
% 0.38/0.53 tff(181,plain,
% 0.38/0.53 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) <=> (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))),
% 0.38/0.53 inference(bind,[status(th)],[])).
% 0.38/0.53 tff(182,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.38/0.53 inference(quant_intro,[status(thm)],[181])).
% 0.38/0.53 tff(183,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.38/0.53 inference(rewrite,[status(thm)],[])).
% 0.38/0.53 tff(184,plain,
% 0.38/0.53 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf26(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | event(skc13, skf26(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | event(skc13, skf26(W))) <=> (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf26(W))) <=> (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))))),
% 0.38/0.53 inference(bind,[status(th)],[])).
% 0.38/0.53 tff(185,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.38/0.53 inference(quant_intro,[status(thm)],[184])).
% 0.38/0.53 tff(186,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf26(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause9')).
% 0.38/0.53 tff(187,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.38/0.53 tff(188,plain,
% 0.38/0.53 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.38/0.53 inference(modus_ponens,[status(thm)],[187, 183])).
% 0.38/0.54 tff(189,plain,(
% 0.38/0.54 ![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.38/0.54 inference(skolemize,[status(sab)],[188])).
% 0.38/0.54 tff(190,plain,
% 0.38/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[189, 182])).
% 0.38/0.54 tff(191,plain,
% 0.38/0.54 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(192,plain,
% 0.38/0.54 ((ssSkC0 | event(skc13, skf26(skf39(skc13))) | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13)))) <=> (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(193,plain,
% 0.38/0.54 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | event(skc13, skf26(skf39(skc13))) | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13)))))),
% 0.38/0.54 inference(monotonicity,[status(thm)],[192])).
% 0.38/0.54 tff(194,plain,
% 0.38/0.54 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | event(skc13, skf26(skf39(skc13))) | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13))))),
% 0.38/0.54 inference(transitivity,[status(thm)],[193, 191])).
% 0.38/0.54 tff(195,plain,
% 0.38/0.54 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | event(skc13, skf26(skf39(skc13))) | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))))),
% 0.38/0.54 inference(quant_inst,[status(thm)],[])).
% 0.38/0.54 tff(196,plain,
% 0.38/0.54 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.38/0.54 tff(197,plain,
% 0.38/0.54 (event(skc13, skf26(skf39(skc13)))),
% 0.38/0.54 inference(unit_resolution,[status(thm)],[196, 190, 1, 52, 37, 19])).
% 0.38/0.54 tff(198,plain,
% 0.38/0.54 (^[V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V)) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V)))),
% 0.38/0.54 inference(bind,[status(th)],[])).
% 0.38/0.54 tff(199,plain,
% 0.38/0.54 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V)) <=> ![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.38/0.54 inference(quant_intro,[status(thm)],[198])).
% 0.38/0.54 tff(200,plain,
% 0.38/0.54 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V)) <=> ![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(201,plain,
% 0.38/0.54 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf26(V), V)) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | agent(skc13, skf26(V), V)))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | agent(skc13, skf26(V), V)) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf26(V), V)) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))))),
% 0.38/0.54 inference(bind,[status(th)],[])).
% 0.38/0.54 tff(202,plain,
% 0.38/0.54 (![V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf26(V), V)) <=> ![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.38/0.54 inference(quant_intro,[status(thm)],[201])).
% 0.38/0.54 tff(203,axiom,(![V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf26(V), V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause29')).
% 0.38/0.54 tff(204,plain,
% 0.38/0.54 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.38/0.54 tff(205,plain,
% 0.38/0.54 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[204, 200])).
% 0.38/0.54 tff(206,plain,(
% 0.38/0.54 ![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.38/0.54 inference(skolemize,[status(sab)],[205])).
% 0.38/0.54 tff(207,plain,
% 0.38/0.54 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[206, 199])).
% 0.38/0.54 tff(208,plain,
% 0.38/0.54 (((~![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf26(skf39(skc13)), skf39(skc13)))) <=> ((~![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf26(skf39(skc13)), skf39(skc13)))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(209,plain,
% 0.38/0.54 ((~![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf26(skf39(skc13)), skf39(skc13)))),
% 0.38/0.54 inference(quant_inst,[status(thm)],[])).
% 0.38/0.54 tff(210,plain,
% 0.38/0.54 ((~![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf26(skf39(skc13)), skf39(skc13))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[209, 208])).
% 0.38/0.54 tff(211,plain,
% 0.38/0.54 (agent(skc13, skf26(skf39(skc13)), skf39(skc13))),
% 0.38/0.54 inference(unit_resolution,[status(thm)],[210, 207, 1, 52, 37, 19])).
% 0.38/0.54 tff(212,plain,
% 0.38/0.54 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W))))),
% 0.38/0.54 inference(bind,[status(th)],[])).
% 0.38/0.54 tff(213,plain,
% 0.38/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.38/0.54 inference(quant_intro,[status(thm)],[212])).
% 0.38/0.54 tff(214,plain,
% 0.38/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(215,plain,
% 0.38/0.54 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | see(skc13, skf26(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | see(skc13, skf26(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | see(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | see(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))))),
% 0.38/0.54 inference(bind,[status(th)],[])).
% 0.38/0.54 tff(216,plain,
% 0.38/0.54 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | see(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.38/0.54 inference(quant_intro,[status(thm)],[215])).
% 0.38/0.54 tff(217,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | see(skc13, skf26(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause12')).
% 0.38/0.54 tff(218,plain,
% 0.38/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.38/0.54 tff(219,plain,
% 0.38/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[218, 214])).
% 0.38/0.54 tff(220,plain,(
% 0.38/0.54 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.38/0.54 inference(skolemize,[status(sab)],[219])).
% 0.38/0.54 tff(221,plain,
% 0.38/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[220, 213])).
% 0.38/0.54 tff(222,plain,
% 0.38/0.54 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | see(skc13, skf26(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | see(skc13, skf26(skf39(skc13))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(223,plain,
% 0.38/0.54 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | see(skc13, skf26(skf39(skc13))))),
% 0.38/0.54 inference(quant_inst,[status(thm)],[])).
% 0.38/0.54 tff(224,plain,
% 0.38/0.54 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | see(skc13, skf26(skf39(skc13)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.38/0.54 tff(225,plain,
% 0.38/0.54 (see(skc13, skf26(skf39(skc13)))),
% 0.38/0.54 inference(unit_resolution,[status(thm)],[224, 221, 1, 52, 37, 19])).
% 0.38/0.54 tff(226,plain,
% 0.38/0.54 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W))))),
% 0.38/0.54 inference(bind,[status(th)],[])).
% 0.38/0.54 tff(227,plain,
% 0.38/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.38/0.54 inference(quant_intro,[status(thm)],[226])).
% 0.38/0.54 tff(228,plain,
% 0.38/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(229,plain,
% 0.38/0.54 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | coffee(skc13, skf28(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | coffee(skc13, skf28(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | coffee(skc13, skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | coffee(skc13, skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))))),
% 0.40/0.54 inference(bind,[status(th)],[])).
% 0.40/0.54 tff(230,plain,
% 0.40/0.54 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | coffee(skc13, skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.40/0.54 inference(quant_intro,[status(thm)],[229])).
% 0.40/0.54 tff(231,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | coffee(skc13, skf28(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause18')).
% 0.40/0.54 tff(232,plain,
% 0.40/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.40/0.54 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.40/0.54 tff(233,plain,
% 0.40/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.40/0.54 inference(modus_ponens,[status(thm)],[232, 228])).
% 0.40/0.54 tff(234,plain,(
% 0.40/0.54 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.40/0.54 inference(skolemize,[status(sab)],[233])).
% 0.40/0.54 tff(235,plain,
% 0.40/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.40/0.54 inference(modus_ponens,[status(thm)],[234, 227])).
% 0.40/0.54 tff(236,plain,
% 0.40/0.54 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13))))),
% 0.40/0.54 inference(rewrite,[status(thm)],[])).
% 0.40/0.54 tff(237,plain,
% 0.40/0.54 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13))))),
% 0.40/0.54 inference(quant_inst,[status(thm)],[])).
% 0.40/0.54 tff(238,plain,
% 0.40/0.54 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13)))),
% 0.40/0.54 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.40/0.54 tff(239,plain,
% 0.40/0.54 (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13)))),
% 0.40/0.54 inference(unit_resolution,[status(thm)],[238, 235])).
% 0.40/0.54 tff(240,plain,
% 0.40/0.54 (coffee(skc13, skf28(skf39(skc13)))),
% 0.40/0.54 inference(unit_resolution,[status(thm)],[239, 52, 37, 19, 1])).
% 0.40/0.54 tff(241,plain,
% 0.40/0.54 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W))))),
% 0.40/0.54 inference(bind,[status(th)],[])).
% 0.40/0.54 tff(242,plain,
% 0.40/0.54 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.40/0.55 inference(quant_intro,[status(thm)],[241])).
% 0.40/0.55 tff(243,plain,
% 0.40/0.55 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.40/0.55 inference(rewrite,[status(thm)],[])).
% 0.40/0.55 tff(244,plain,
% 0.40/0.55 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | drink(skc13, skf27(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | drink(skc13, skf27(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | drink(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | drink(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))))),
% 0.40/0.55 inference(bind,[status(th)],[])).
% 0.40/0.55 tff(245,plain,
% 0.40/0.55 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | drink(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.40/0.55 inference(quant_intro,[status(thm)],[244])).
% 0.40/0.55 tff(246,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | drink(skc13, skf27(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause14')).
% 0.40/0.55 tff(247,plain,
% 0.40/0.55 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.40/0.55 tff(248,plain,
% 0.40/0.55 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[247, 243])).
% 0.40/0.55 tff(249,plain,(
% 0.40/0.55 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.40/0.55 inference(skolemize,[status(sab)],[248])).
% 0.40/0.55 tff(250,plain,
% 0.40/0.55 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[249, 242])).
% 0.40/0.55 tff(251,plain,
% 0.40/0.55 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | drink(skc13, skf27(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | drink(skc13, skf27(skf39(skc13))))),
% 0.40/0.55 inference(rewrite,[status(thm)],[])).
% 0.40/0.55 tff(252,plain,
% 0.40/0.55 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | drink(skc13, skf27(skf39(skc13))))),
% 0.40/0.55 inference(quant_inst,[status(thm)],[])).
% 0.40/0.55 tff(253,plain,
% 0.40/0.55 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | drink(skc13, skf27(skf39(skc13)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[252, 251])).
% 0.40/0.55 tff(254,plain,
% 0.40/0.55 (drink(skc13, skf27(skf39(skc13)))),
% 0.40/0.55 inference(unit_resolution,[status(thm)],[253, 250, 1, 52, 37, 19])).
% 0.40/0.55 tff(255,plain,
% 0.40/0.55 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) <=> (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))),
% 0.40/0.55 inference(bind,[status(th)],[])).
% 0.40/0.55 tff(256,plain,
% 0.40/0.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.40/0.55 inference(quant_intro,[status(thm)],[255])).
% 0.40/0.55 tff(257,plain,
% 0.40/0.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.40/0.55 inference(rewrite,[status(thm)],[])).
% 0.40/0.55 tff(258,plain,
% 0.40/0.55 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) <=> ((~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) <=> (((~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~nonreflexive(U, V))))), rewrite((((~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~nonreflexive(U, V))) <=> ((~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) <=> ((~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) <=> (((~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~see(U, V))))), rewrite((((~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~see(U, V))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~patient(U, W, X))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~patient(U, W, X))) <=> ((~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) <=> ((~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) <=> (((~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~coffee(U, X))))), rewrite((((~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~coffee(U, X))) <=> ((~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) <=> ((~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) <=> (((~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~drink(U, W))))), rewrite((((~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~drink(U, W))) <=> ((~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) <=> ((~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) <=> (((~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~nonreflexive(U, W))))), rewrite((((~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~nonreflexive(U, W))) <=> ((~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) <=> ((~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) <=> (((~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~past(U, W))))), rewrite((((~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~past(U, W))) <=> ((~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) <=> ((~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) <=> (((~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~event(U, W))))), rewrite((((~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~event(U, W))) <=> ((~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) <=> ((~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) <=> (((~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~human_person(U, Y))))), rewrite((((~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~human_person(U, Y))) <=> ((~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) <=> ((~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) <=> (((~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~agent(U, W, Y))))), rewrite((((~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~agent(U, W, Y))) <=> ((~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) <=> ((~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) <=> (((~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~patient(U, V, Y))))), rewrite((((~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~patient(U, V, Y))) <=> ((~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) <=> ((~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) <=> (((~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~actual_world(U))))), rewrite((((~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~actual_world(U))) <=> ((~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) <=> ((~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) | ssSkC0) <=> (((~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | ssSkC0))), rewrite((((~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))))),
% 0.40/0.55 inference(bind,[status(th)],[])).
% 0.40/0.55 tff(259,plain,
% 0.40/0.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) | ssSkC0) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.40/0.55 inference(quant_intro,[status(thm)],[258])).
% 0.40/0.55 tff(260,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) | ssSkC0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause37')).
% 0.40/0.55 tff(261,plain,
% 0.40/0.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.40/0.55 tff(262,plain,
% 0.40/0.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[261, 257])).
% 0.40/0.55 tff(263,plain,(
% 0.40/0.55 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.40/0.55 inference(skolemize,[status(sab)],[262])).
% 0.40/0.55 tff(264,plain,
% 0.40/0.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[263, 256])).
% 0.40/0.55 tff(265,plain,
% 0.40/0.55 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))))),
% 0.40/0.55 inference(rewrite,[status(thm)],[])).
% 0.40/0.55 tff(266,plain,
% 0.40/0.55 ((ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13))))) <=> (ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))))),
% 0.40/0.55 inference(rewrite,[status(thm)],[])).
% 0.40/0.55 tff(267,plain,
% 0.40/0.55 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13))))))),
% 0.40/0.55 inference(monotonicity,[status(thm)],[266])).
% 0.40/0.55 tff(268,plain,
% 0.40/0.55 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))))),
% 0.40/0.56 inference(transitivity,[status(thm)],[267, 265])).
% 0.40/0.56 tff(269,plain,
% 0.40/0.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(270,plain,
% 0.40/0.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13))))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.40/0.56 tff(271,plain,
% 0.40/0.56 ($false),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[270, 14, 264, 1, 254, 240, 225, 211, 197, 180, 166, 152, 138, 124, 109, 94, 80, 66])).
% 0.40/0.56 tff(272,plain,(ssSkC0), inference(lemma,lemma(discharge,[]))).
% 0.40/0.56 tff(273,plain,
% 0.40/0.56 (^[U: $i] : refl(((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U))) <=> ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(274,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[273])).
% 0.40/0.56 tff(275,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(276,plain,
% 0.40/0.56 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)))), ((((~actual_world(U)) | (~ssSkC0)) | customer(U, skf25(U))) <=> (((~ssSkC0) | (~actual_world(U))) | customer(U, skf25(U))))), rewrite((((~ssSkC0) | (~actual_world(U))) | customer(U, skf25(U))) <=> ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))), ((((~actual_world(U)) | (~ssSkC0)) | customer(U, skf25(U))) <=> ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(277,plain,
% 0.40/0.56 (![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | customer(U, skf25(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[276])).
% 0.40/0.56 tff(278,axiom,(![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | customer(U, skf25(U)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause5')).
% 0.40/0.56 tff(279,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.40/0.56 tff(280,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[279, 275])).
% 0.40/0.56 tff(281,plain,(
% 0.40/0.56 ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.40/0.56 inference(skolemize,[status(sab)],[280])).
% 0.40/0.56 tff(282,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[281, 274])).
% 0.40/0.56 tff(283,plain,
% 0.40/0.56 (actual_world(skc2) <=> actual_world(skc2)),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(284,axiom,(actual_world(skc2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 0.40/0.56 tff(285,plain,
% 0.40/0.56 (actual_world(skc2)),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[284, 283])).
% 0.40/0.56 tff(286,plain,
% 0.40/0.56 (((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | customer(skc2, skf25(skc2)))) <=> ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))) | (~ssSkC0) | (~actual_world(skc2)) | customer(skc2, skf25(skc2)))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(287,plain,
% 0.40/0.56 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | customer(skc2, skf25(skc2)))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(288,plain,
% 0.40/0.56 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))) | (~ssSkC0) | (~actual_world(skc2)) | customer(skc2, skf25(skc2))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[287, 286])).
% 0.40/0.56 tff(289,plain,
% 0.40/0.56 ((~ssSkC0) | customer(skc2, skf25(skc2))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[288, 285, 282])).
% 0.40/0.56 tff(290,plain,
% 0.40/0.56 (customer(skc2, skf25(skc2))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[289, 272])).
% 0.40/0.56 tff(291,plain,
% 0.40/0.56 (^[U: $i] : refl(((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(292,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[291])).
% 0.40/0.56 tff(293,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(294,plain,
% 0.40/0.56 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)))), ((((~actual_world(U)) | (~ssSkC0)) | restaurant(U, skf20(U))) <=> (((~ssSkC0) | (~actual_world(U))) | restaurant(U, skf20(U))))), rewrite((((~ssSkC0) | (~actual_world(U))) | restaurant(U, skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))), ((((~actual_world(U)) | (~ssSkC0)) | restaurant(U, skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(295,plain,
% 0.40/0.56 (![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | restaurant(U, skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[294])).
% 0.40/0.56 tff(296,axiom,(![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | restaurant(U, skf20(U)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause6')).
% 0.40/0.56 tff(297,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.40/0.56 tff(298,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[297, 293])).
% 0.40/0.56 tff(299,plain,(
% 0.40/0.56 ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.40/0.56 inference(skolemize,[status(sab)],[298])).
% 0.40/0.56 tff(300,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[299, 292])).
% 0.40/0.56 tff(301,plain,
% 0.40/0.56 (((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | restaurant(skc2, skf20(skc2)))) <=> ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))) | (~ssSkC0) | (~actual_world(skc2)) | restaurant(skc2, skf20(skc2)))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(302,plain,
% 0.40/0.56 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | restaurant(skc2, skf20(skc2)))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(303,plain,
% 0.40/0.56 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))) | (~ssSkC0) | (~actual_world(skc2)) | restaurant(skc2, skf20(skc2))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.40/0.56 tff(304,plain,
% 0.40/0.56 ((~ssSkC0) | restaurant(skc2, skf20(skc2))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[303, 285, 300])).
% 0.40/0.56 tff(305,plain,
% 0.40/0.56 (restaurant(skc2, skf20(skc2))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[304, 272])).
% 0.40/0.56 tff(306,plain,
% 0.40/0.56 (^[U: $i] : refl(((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(307,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[306])).
% 0.40/0.56 tff(308,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(309,plain,
% 0.40/0.56 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)))), ((((~actual_world(U)) | (~ssSkC0)) | in(U, skf25(U), skf20(U))) <=> (((~ssSkC0) | (~actual_world(U))) | in(U, skf25(U), skf20(U))))), rewrite((((~ssSkC0) | (~actual_world(U))) | in(U, skf25(U), skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))), ((((~actual_world(U)) | (~ssSkC0)) | in(U, skf25(U), skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(310,plain,
% 0.40/0.56 (![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | in(U, skf25(U), skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[309])).
% 0.40/0.56 tff(311,axiom,(![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | in(U, skf25(U), skf20(U)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause8')).
% 0.40/0.56 tff(312,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[311, 310])).
% 0.40/0.56 tff(313,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[312, 308])).
% 0.40/0.56 tff(314,plain,(
% 0.40/0.56 ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.40/0.56 inference(skolemize,[status(sab)],[313])).
% 0.40/0.56 tff(315,plain,
% 0.40/0.56 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[314, 307])).
% 0.40/0.56 tff(316,plain,
% 0.40/0.56 (((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | in(skc2, skf25(skc2), skf20(skc2)))) <=> ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))) | (~ssSkC0) | (~actual_world(skc2)) | in(skc2, skf25(skc2), skf20(skc2)))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(317,plain,
% 0.40/0.56 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | in(skc2, skf25(skc2), skf20(skc2)))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(318,plain,
% 0.40/0.56 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))) | (~ssSkC0) | (~actual_world(skc2)) | in(skc2, skf25(skc2), skf20(skc2))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[317, 316])).
% 0.40/0.56 tff(319,plain,
% 0.40/0.56 ((~ssSkC0) | in(skc2, skf25(skc2), skf20(skc2))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[318, 285, 315])).
% 0.40/0.56 tff(320,plain,
% 0.40/0.56 (in(skc2, skf25(skc2), skf20(skc2))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[319, 272])).
% 0.40/0.56 tff(321,plain,
% 0.40/0.56 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(322,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[321])).
% 0.40/0.56 tff(323,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(324,plain,
% 0.40/0.56 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf13(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | nonreflexive(skc2, skf13(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | nonreflexive(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(325,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[324])).
% 0.40/0.56 tff(326,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf13(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause25')).
% 0.40/0.56 tff(327,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.40/0.56 tff(328,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[327, 323])).
% 0.40/0.56 tff(329,plain,(
% 0.40/0.56 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.40/0.56 inference(skolemize,[status(sab)],[328])).
% 0.40/0.56 tff(330,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[329, 322])).
% 0.40/0.56 tff(331,plain,
% 0.40/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(332,plain,
% 0.40/0.56 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(333,plain,
% 0.40/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2)))))),
% 0.40/0.56 inference(monotonicity,[status(thm)],[332])).
% 0.40/0.56 tff(334,plain,
% 0.40/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))),
% 0.40/0.56 inference(transitivity,[status(thm)],[333, 331])).
% 0.40/0.56 tff(335,plain,
% 0.40/0.56 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(336,plain,
% 0.40/0.56 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[335, 334])).
% 0.40/0.56 tff(337,plain,
% 0.40/0.56 (nonreflexive(skc2, skf13(skf25(skc2)))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[336, 330, 272, 320, 305, 290])).
% 0.40/0.56 tff(338,plain,
% 0.40/0.56 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(339,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[338])).
% 0.40/0.56 tff(340,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(341,plain,
% 0.40/0.56 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf13(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | past(skc2, skf13(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | past(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))))),
% 0.40/0.56 inference(bind,[status(th)],[])).
% 0.40/0.56 tff(342,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.40/0.56 inference(quant_intro,[status(thm)],[341])).
% 0.40/0.56 tff(343,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf13(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause26')).
% 0.40/0.56 tff(344,plain,
% 0.40/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[343, 342])).
% 0.40/0.56 tff(345,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[344, 340])).
% 0.40/0.57 tff(346,plain,(
% 0.40/0.57 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.40/0.57 inference(skolemize,[status(sab)],[345])).
% 0.40/0.57 tff(347,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[346, 339])).
% 0.40/0.57 tff(348,plain,
% 0.40/0.57 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf13(skf25(skc2))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(349,plain,
% 0.40/0.57 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf13(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf13(skf25(skc2))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(350,plain,
% 0.40/0.57 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf13(skf25(skc2)))))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[349])).
% 0.40/0.57 tff(351,plain,
% 0.40/0.57 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf13(skf25(skc2))))),
% 0.40/0.57 inference(transitivity,[status(thm)],[350, 348])).
% 0.40/0.57 tff(352,plain,
% 0.40/0.57 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf13(skf25(skc2))))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(353,plain,
% 0.40/0.57 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf13(skf25(skc2)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[352, 351])).
% 0.40/0.57 tff(354,plain,
% 0.40/0.57 (past(skc2, skf13(skf25(skc2)))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[353, 347, 272, 320, 305, 290])).
% 0.40/0.57 tff(355,plain,
% 0.40/0.57 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W))))),
% 0.40/0.57 inference(bind,[status(th)],[])).
% 0.40/0.57 tff(356,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.40/0.57 inference(quant_intro,[status(thm)],[355])).
% 0.40/0.57 tff(357,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(358,plain,
% 0.40/0.57 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf13(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | event(skc2, skf13(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | event(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))))),
% 0.40/0.57 inference(bind,[status(th)],[])).
% 0.40/0.57 tff(359,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.40/0.57 inference(quant_intro,[status(thm)],[358])).
% 0.40/0.57 tff(360,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf13(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause27')).
% 0.40/0.57 tff(361,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.40/0.57 tff(362,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[361, 357])).
% 0.40/0.57 tff(363,plain,(
% 0.40/0.57 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.40/0.57 inference(skolemize,[status(sab)],[362])).
% 0.40/0.57 tff(364,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[363, 356])).
% 0.40/0.57 tff(365,plain,
% 0.40/0.57 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf13(skf25(skc2))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(366,plain,
% 0.40/0.57 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | event(skc2, skf13(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf13(skf25(skc2))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(367,plain,
% 0.40/0.57 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | event(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf13(skf25(skc2)))))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[366])).
% 0.40/0.57 tff(368,plain,
% 0.40/0.57 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | event(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf13(skf25(skc2))))),
% 0.40/0.57 inference(transitivity,[status(thm)],[367, 365])).
% 0.40/0.57 tff(369,plain,
% 0.40/0.57 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | event(skc2, skf13(skf25(skc2))))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(370,plain,
% 0.40/0.57 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf13(skf25(skc2)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[369, 368])).
% 0.40/0.57 tff(371,plain,
% 0.40/0.57 (event(skc2, skf13(skf25(skc2)))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[370, 364, 272, 320, 305, 290])).
% 0.40/0.57 tff(372,plain,
% 0.40/0.57 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W))))),
% 0.40/0.57 inference(bind,[status(th)],[])).
% 0.40/0.57 tff(373,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.40/0.57 inference(quant_intro,[status(thm)],[372])).
% 0.40/0.57 tff(374,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(375,plain,
% 0.40/0.57 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf13(W), skf14(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | patient(skc2, skf13(W), skf14(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | patient(skc2, skf13(W), skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf13(W), skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))))),
% 0.40/0.57 inference(bind,[status(th)],[])).
% 0.40/0.57 tff(376,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf13(W), skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.40/0.57 inference(quant_intro,[status(thm)],[375])).
% 0.40/0.57 tff(377,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf13(W), skf14(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause36')).
% 0.40/0.57 tff(378,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[377, 376])).
% 0.40/0.57 tff(379,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[378, 374])).
% 0.40/0.57 tff(380,plain,(
% 0.40/0.57 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.40/0.57 inference(skolemize,[status(sab)],[379])).
% 0.40/0.57 tff(381,plain,
% 0.40/0.57 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[380, 373])).
% 0.40/0.57 tff(382,plain,
% 0.40/0.57 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(383,plain,
% 0.40/0.57 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(384,plain,
% 0.40/0.57 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[383])).
% 0.40/0.58 tff(385,plain,
% 0.40/0.58 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))),
% 0.40/0.58 inference(transitivity,[status(thm)],[384, 382])).
% 0.40/0.58 tff(386,plain,
% 0.40/0.58 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(387,plain,
% 0.40/0.58 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[386, 385])).
% 0.40/0.58 tff(388,plain,
% 0.40/0.58 (patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[387, 381, 272, 320, 305, 290])).
% 0.40/0.58 tff(389,plain,
% 0.40/0.58 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(390,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[389])).
% 0.40/0.58 tff(391,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(392,plain,
% 0.40/0.58 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf13(W), skf15(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | agent(skc2, skf13(W), skf15(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | agent(skc2, skf13(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf13(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(393,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf13(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[392])).
% 0.40/0.58 tff(394,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf13(W), skf15(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause34')).
% 0.40/0.58 tff(395,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[394, 393])).
% 0.40/0.58 tff(396,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[395, 391])).
% 0.40/0.58 tff(397,plain,(
% 0.40/0.58 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.40/0.58 inference(skolemize,[status(sab)],[396])).
% 0.40/0.58 tff(398,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[397, 390])).
% 0.40/0.58 tff(399,plain,
% 0.40/0.58 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(400,plain,
% 0.40/0.58 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(401,plain,
% 0.40/0.58 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[400])).
% 0.40/0.58 tff(402,plain,
% 0.40/0.58 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))),
% 0.40/0.58 inference(transitivity,[status(thm)],[401, 399])).
% 0.40/0.58 tff(403,plain,
% 0.40/0.58 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(404,plain,
% 0.40/0.58 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[403, 402])).
% 0.40/0.58 tff(405,plain,
% 0.40/0.58 (agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[404, 398, 272, 320, 305, 290])).
% 0.40/0.58 tff(406,plain,
% 0.40/0.58 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(407,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[406])).
% 0.40/0.58 tff(408,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(409,plain,
% 0.40/0.58 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | drink(skc2, skf13(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | drink(skc2, skf13(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | drink(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | drink(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(410,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | drink(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[409])).
% 0.40/0.58 tff(411,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | drink(skc2, skf13(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause24')).
% 0.40/0.58 tff(412,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[411, 410])).
% 0.40/0.58 tff(413,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[412, 408])).
% 0.40/0.58 tff(414,plain,(
% 0.40/0.58 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.40/0.58 inference(skolemize,[status(sab)],[413])).
% 0.40/0.58 tff(415,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[414, 407])).
% 0.40/0.58 tff(416,plain,
% 0.40/0.58 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(417,plain,
% 0.40/0.58 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | drink(skc2, skf13(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(418,plain,
% 0.40/0.58 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | drink(skc2, skf13(skf25(skc2)))))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[417])).
% 0.40/0.58 tff(419,plain,
% 0.40/0.58 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))),
% 0.40/0.58 inference(transitivity,[status(thm)],[418, 416])).
% 0.40/0.58 tff(420,plain,
% 0.40/0.58 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(421,plain,
% 0.40/0.58 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | drink(skc2, skf13(skf25(skc2)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[420, 419])).
% 0.40/0.58 tff(422,plain,
% 0.40/0.58 (drink(skc2, skf13(skf25(skc2)))),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[421, 415, 272, 320, 305, 290])).
% 0.40/0.58 tff(423,plain,
% 0.40/0.58 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(424,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[423])).
% 0.40/0.58 tff(425,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(426,plain,
% 0.40/0.58 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | human_person(skc2, skf15(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | human_person(skc2, skf15(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | human_person(skc2, skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | human_person(skc2, skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))))),
% 0.40/0.58 inference(bind,[status(th)],[])).
% 0.40/0.58 tff(427,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | human_person(skc2, skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.40/0.58 inference(quant_intro,[status(thm)],[426])).
% 0.40/0.58 tff(428,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | human_person(skc2, skf15(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause28')).
% 0.40/0.58 tff(429,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[428, 427])).
% 0.40/0.58 tff(430,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[429, 425])).
% 0.40/0.58 tff(431,plain,(
% 0.40/0.58 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.40/0.58 inference(skolemize,[status(sab)],[430])).
% 0.40/0.58 tff(432,plain,
% 0.40/0.58 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[431, 424])).
% 0.40/0.58 tff(433,plain,
% 0.40/0.58 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | human_person(skc2, skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | (~ssSkC0) | human_person(skc2, skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(434,plain,
% 0.40/0.59 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | human_person(skc2, skf15(skf25(skc2)))) <=> ((~ssSkC0) | human_person(skc2, skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(435,plain,
% 0.40/0.59 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | human_person(skc2, skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | human_person(skc2, skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2)))))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[434])).
% 0.40/0.59 tff(436,plain,
% 0.40/0.59 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | human_person(skc2, skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | (~ssSkC0) | human_person(skc2, skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))))),
% 0.40/0.59 inference(transitivity,[status(thm)],[435, 433])).
% 0.40/0.59 tff(437,plain,
% 0.40/0.59 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | human_person(skc2, skf15(skf25(skc2))))),
% 0.40/0.59 inference(quant_inst,[status(thm)],[])).
% 0.40/0.59 tff(438,plain,
% 0.40/0.59 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | (~ssSkC0) | human_person(skc2, skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[437, 436])).
% 0.40/0.59 tff(439,plain,
% 0.40/0.59 (human_person(skc2, skf15(skf25(skc2)))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[438, 432, 272, 320, 305, 290])).
% 0.40/0.59 tff(440,plain,
% 0.40/0.59 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(441,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[440])).
% 0.40/0.59 tff(442,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(443,plain,
% 0.40/0.59 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf12(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | past(skc2, skf12(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | past(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(444,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[443])).
% 0.40/0.59 tff(445,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf12(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause20')).
% 0.40/0.59 tff(446,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[445, 444])).
% 0.40/0.59 tff(447,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[446, 442])).
% 0.40/0.59 tff(448,plain,(
% 0.40/0.59 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.40/0.59 inference(skolemize,[status(sab)],[447])).
% 0.40/0.59 tff(449,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[448, 441])).
% 0.40/0.59 tff(450,plain,
% 0.40/0.59 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf12(skf25(skc2))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(451,plain,
% 0.40/0.59 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf12(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf12(skf25(skc2))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(452,plain,
% 0.40/0.59 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf12(skf25(skc2)))))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[451])).
% 0.40/0.59 tff(453,plain,
% 0.40/0.59 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf12(skf25(skc2))))),
% 0.40/0.59 inference(transitivity,[status(thm)],[452, 450])).
% 0.40/0.59 tff(454,plain,
% 0.40/0.59 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf12(skf25(skc2))))),
% 0.40/0.59 inference(quant_inst,[status(thm)],[])).
% 0.40/0.59 tff(455,plain,
% 0.40/0.59 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | past(skc2, skf12(skf25(skc2)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[454, 453])).
% 0.40/0.59 tff(456,plain,
% 0.40/0.59 (past(skc2, skf12(skf25(skc2)))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[455, 449, 272, 320, 305, 290])).
% 0.40/0.59 tff(457,plain,
% 0.40/0.59 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) <=> ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(458,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[457])).
% 0.40/0.59 tff(459,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(460,plain,
% 0.40/0.59 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf12(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | event(skc2, skf12(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | event(skc2, skf12(W))) <=> ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf12(W))) <=> ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(461,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[460])).
% 0.40/0.59 tff(462,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf12(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause19')).
% 0.40/0.59 tff(463,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[462, 461])).
% 0.40/0.59 tff(464,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[463, 459])).
% 0.40/0.59 tff(465,plain,(
% 0.40/0.59 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.40/0.59 inference(skolemize,[status(sab)],[464])).
% 0.40/0.59 tff(466,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[465, 458])).
% 0.40/0.59 tff(467,plain,
% 0.40/0.59 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf12(skf25(skc2))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(468,plain,
% 0.40/0.59 (((~ssSkC0) | event(skc2, skf12(skf25(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf12(skf25(skc2))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(469,plain,
% 0.40/0.59 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | event(skc2, skf12(skf25(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf12(skf25(skc2)))))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[468])).
% 0.40/0.59 tff(470,plain,
% 0.40/0.59 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | event(skc2, skf12(skf25(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf12(skf25(skc2))))),
% 0.40/0.59 inference(transitivity,[status(thm)],[469, 467])).
% 0.40/0.59 tff(471,plain,
% 0.40/0.59 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | event(skc2, skf12(skf25(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))))),
% 0.40/0.59 inference(quant_inst,[status(thm)],[])).
% 0.40/0.59 tff(472,plain,
% 0.40/0.59 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | event(skc2, skf12(skf25(skc2)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[471, 470])).
% 0.40/0.59 tff(473,plain,
% 0.40/0.59 (event(skc2, skf12(skf25(skc2)))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[472, 466, 272, 320, 305, 290])).
% 0.40/0.59 tff(474,plain,
% 0.40/0.59 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(475,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[474])).
% 0.40/0.59 tff(476,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(477,plain,
% 0.40/0.59 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf12(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | nonreflexive(skc2, skf12(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | nonreflexive(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))))),
% 0.40/0.59 inference(bind,[status(th)],[])).
% 0.40/0.59 tff(478,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.40/0.59 inference(quant_intro,[status(thm)],[477])).
% 0.40/0.59 tff(479,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf12(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause21')).
% 0.40/0.59 tff(480,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[479, 478])).
% 0.40/0.59 tff(481,plain,
% 0.40/0.59 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[480, 476])).
% 0.40/0.60 tff(482,plain,(
% 0.40/0.60 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.40/0.60 inference(skolemize,[status(sab)],[481])).
% 0.40/0.60 tff(483,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[482, 475])).
% 0.40/0.60 tff(484,plain,
% 0.40/0.60 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | (~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(485,plain,
% 0.40/0.60 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf12(skf25(skc2)))) <=> ((~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(486,plain,
% 0.40/0.60 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2)))))),
% 0.40/0.60 inference(monotonicity,[status(thm)],[485])).
% 0.40/0.60 tff(487,plain,
% 0.40/0.60 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | (~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))))),
% 0.40/0.60 inference(transitivity,[status(thm)],[486, 484])).
% 0.40/0.60 tff(488,plain,
% 0.40/0.60 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf12(skf25(skc2))))),
% 0.40/0.60 inference(quant_inst,[status(thm)],[])).
% 0.40/0.60 tff(489,plain,
% 0.40/0.60 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | (~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[488, 487])).
% 0.40/0.60 tff(490,plain,
% 0.40/0.60 (nonreflexive(skc2, skf12(skf25(skc2)))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[489, 483, 272, 320, 305, 290])).
% 0.40/0.60 tff(491,plain,
% 0.40/0.60 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W))))),
% 0.40/0.60 inference(bind,[status(th)],[])).
% 0.40/0.60 tff(492,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.40/0.60 inference(quant_intro,[status(thm)],[491])).
% 0.40/0.60 tff(493,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(494,plain,
% 0.40/0.60 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | see(skc2, skf12(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | see(skc2, skf12(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | see(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | see(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))))),
% 0.40/0.60 inference(bind,[status(th)],[])).
% 0.40/0.60 tff(495,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | see(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.40/0.60 inference(quant_intro,[status(thm)],[494])).
% 0.40/0.60 tff(496,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | see(skc2, skf12(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause22')).
% 0.40/0.60 tff(497,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[496, 495])).
% 0.40/0.60 tff(498,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[497, 493])).
% 0.40/0.60 tff(499,plain,(
% 0.40/0.60 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.40/0.60 inference(skolemize,[status(sab)],[498])).
% 0.40/0.60 tff(500,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[499, 492])).
% 0.40/0.60 tff(501,plain,
% 0.40/0.60 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | see(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | see(skc2, skf12(skf25(skc2))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(502,plain,
% 0.40/0.60 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | see(skc2, skf12(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | see(skc2, skf12(skf25(skc2))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(503,plain,
% 0.40/0.60 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | see(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | see(skc2, skf12(skf25(skc2)))))),
% 0.40/0.60 inference(monotonicity,[status(thm)],[502])).
% 0.40/0.60 tff(504,plain,
% 0.40/0.60 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | see(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | see(skc2, skf12(skf25(skc2))))),
% 0.40/0.60 inference(transitivity,[status(thm)],[503, 501])).
% 0.40/0.60 tff(505,plain,
% 0.40/0.60 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | see(skc2, skf12(skf25(skc2))))),
% 0.40/0.60 inference(quant_inst,[status(thm)],[])).
% 0.40/0.60 tff(506,plain,
% 0.40/0.60 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | see(skc2, skf12(skf25(skc2)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[505, 504])).
% 0.40/0.60 tff(507,plain,
% 0.40/0.60 (see(skc2, skf12(skf25(skc2)))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[506, 500, 272, 320, 305, 290])).
% 0.40/0.60 tff(508,plain,
% 0.40/0.60 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W))))),
% 0.40/0.60 inference(bind,[status(th)],[])).
% 0.40/0.60 tff(509,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.40/0.60 inference(quant_intro,[status(thm)],[508])).
% 0.40/0.60 tff(510,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(511,plain,
% 0.40/0.60 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf12(W), skf15(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | patient(skc2, skf12(W), skf15(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | patient(skc2, skf12(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf12(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))))),
% 0.40/0.60 inference(bind,[status(th)],[])).
% 0.40/0.60 tff(512,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf12(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.40/0.60 inference(quant_intro,[status(thm)],[511])).
% 0.40/0.60 tff(513,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf12(W), skf15(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause35')).
% 0.40/0.60 tff(514,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[513, 512])).
% 0.40/0.60 tff(515,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[514, 510])).
% 0.40/0.60 tff(516,plain,(
% 0.40/0.60 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.40/0.60 inference(skolemize,[status(sab)],[515])).
% 0.40/0.60 tff(517,plain,
% 0.40/0.60 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[516, 509])).
% 0.40/0.60 tff(518,plain,
% 0.40/0.60 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(519,plain,
% 0.40/0.60 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(520,plain,
% 0.40/0.60 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))))),
% 0.40/0.61 inference(monotonicity,[status(thm)],[519])).
% 0.40/0.61 tff(521,plain,
% 0.40/0.61 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))),
% 0.40/0.61 inference(transitivity,[status(thm)],[520, 518])).
% 0.40/0.61 tff(522,plain,
% 0.40/0.61 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))),
% 0.40/0.61 inference(quant_inst,[status(thm)],[])).
% 0.40/0.61 tff(523,plain,
% 0.40/0.61 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[522, 521])).
% 0.40/0.61 tff(524,plain,
% 0.40/0.61 (patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[523, 517, 272, 320, 305, 290])).
% 0.40/0.61 tff(525,plain,
% 0.40/0.61 (^[V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V)))),
% 0.40/0.61 inference(bind,[status(th)],[])).
% 0.40/0.61 tff(526,plain,
% 0.40/0.61 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V)) <=> ![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.40/0.61 inference(quant_intro,[status(thm)],[525])).
% 0.40/0.61 tff(527,plain,
% 0.40/0.61 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V)) <=> ![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.40/0.61 inference(rewrite,[status(thm)],[])).
% 0.40/0.61 tff(528,plain,
% 0.40/0.61 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf12(V), V)) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | agent(skc2, skf12(V), V)))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | agent(skc2, skf12(V), V)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf12(V), V)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))))),
% 0.40/0.61 inference(bind,[status(th)],[])).
% 0.40/0.61 tff(529,plain,
% 0.40/0.61 (![V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf12(V), V)) <=> ![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.40/0.61 inference(quant_intro,[status(thm)],[528])).
% 0.40/0.61 tff(530,axiom,(![V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf12(V), V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause30')).
% 0.40/0.61 tff(531,plain,
% 0.40/0.61 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[530, 529])).
% 0.40/0.61 tff(532,plain,
% 0.40/0.61 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[531, 527])).
% 0.40/0.61 tff(533,plain,(
% 0.40/0.61 ![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.40/0.61 inference(skolemize,[status(sab)],[532])).
% 0.40/0.61 tff(534,plain,
% 0.40/0.61 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[533, 526])).
% 0.40/0.61 tff(535,plain,
% 0.40/0.61 (((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))) <=> ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))),
% 0.40/0.61 inference(rewrite,[status(thm)],[])).
% 0.40/0.61 tff(536,plain,
% 0.40/0.61 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))),
% 0.40/0.61 inference(rewrite,[status(thm)],[])).
% 0.40/0.61 tff(537,plain,
% 0.40/0.61 (((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))) <=> ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2))))),
% 0.40/0.61 inference(monotonicity,[status(thm)],[536])).
% 0.40/0.61 tff(538,plain,
% 0.40/0.61 (((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))) <=> ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))),
% 0.40/0.61 inference(transitivity,[status(thm)],[537, 535])).
% 0.40/0.61 tff(539,plain,
% 0.40/0.61 ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))),
% 0.40/0.61 inference(quant_inst,[status(thm)],[])).
% 0.40/0.61 tff(540,plain,
% 0.40/0.61 ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[539, 538])).
% 0.40/0.61 tff(541,plain,
% 0.40/0.61 (agent(skc2, skf12(skf25(skc2)), skf25(skc2))),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[540, 534, 272, 320, 305, 290])).
% 0.40/0.61 tff(542,plain,
% 0.40/0.61 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) <=> ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))),
% 0.40/0.61 inference(bind,[status(th)],[])).
% 0.40/0.61 tff(543,plain,
% 0.40/0.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.40/0.61 inference(quant_intro,[status(thm)],[542])).
% 0.40/0.61 tff(544,plain,
% 0.40/0.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.40/0.61 inference(rewrite,[status(thm)],[])).
% 0.40/0.61 tff(545,plain,
% 0.40/0.61 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) <=> ((~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U))))), (((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) <=> (((~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~nonreflexive(U, V))))), rewrite((((~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~nonreflexive(U, V))) <=> ((~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U))))), (((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) <=> ((~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))))), ((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) <=> (((~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~see(U, V))))), rewrite((((~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~see(U, V))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U))))), ((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))))), (((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~patient(U, V, W))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~patient(U, V, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), ((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~agent(U, X, W))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~agent(U, X, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), ((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), (((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~human_person(U, W))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~human_person(U, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), ((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~drink(U, X))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~drink(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), ((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), (((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~nonreflexive(U, X))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~nonreflexive(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), ((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~past(U, X))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~past(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), ((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), (((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~event(U, X))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~event(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), ((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~coffee(U, Y))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~coffee(U, Y))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), ((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), (((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~patient(U, X, Y))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~patient(U, X, Y))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), ((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~actual_world(U))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~actual_world(U))) <=> ((~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), ((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) <=> ((~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), (((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) | (~ssSkC0)) <=> (((~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~ssSkC0)))), rewrite((((~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))))),
% 0.40/0.61 inference(bind,[status(th)],[])).
% 0.40/0.61 tff(546,plain,
% 0.40/0.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) | (~ssSkC0)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.40/0.61 inference(quant_intro,[status(thm)],[545])).
% 0.40/0.61 tff(547,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) | (~ssSkC0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause38')).
% 0.40/0.61 tff(548,plain,
% 0.40/0.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[547, 546])).
% 0.40/0.61 tff(549,plain,
% 0.40/0.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[548, 544])).
% 0.40/0.61 tff(550,plain,(
% 0.40/0.61 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.40/0.61 inference(skolemize,[status(sab)],[549])).
% 0.40/0.61 tff(551,plain,
% 0.40/0.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[550, 543])).
% 0.40/0.61 tff(552,plain,
% 0.40/0.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | ((~ssSkC0) | (~actual_world(skc2)) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | (~ssSkC0) | (~actual_world(skc2)) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(553,plain,
% 0.40/0.62 (((~ssSkC0) | (~actual_world(skc2)) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2)))) <=> ((~ssSkC0) | (~actual_world(skc2)) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(554,plain,
% 0.40/0.62 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | ((~ssSkC0) | (~actual_world(skc2)) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | ((~ssSkC0) | (~actual_world(skc2)) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2))))))),
% 0.40/0.62 inference(monotonicity,[status(thm)],[553])).
% 0.40/0.62 tff(555,plain,
% 0.40/0.62 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | ((~ssSkC0) | (~actual_world(skc2)) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | (~ssSkC0) | (~actual_world(skc2)) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))))),
% 0.40/0.62 inference(transitivity,[status(thm)],[554, 552])).
% 0.40/0.62 tff(556,plain,
% 0.40/0.62 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | ((~ssSkC0) | (~actual_world(skc2)) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))))),
% 0.40/0.62 inference(quant_inst,[status(thm)],[])).
% 0.40/0.62 tff(557,plain,
% 0.40/0.62 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | (~ssSkC0) | (~actual_world(skc2)) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2))))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[556, 555])).
% 0.40/0.62 tff(558,plain,
% 0.40/0.62 (~coffee(skc2, skf14(skf25(skc2)))),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[557, 285, 551, 272, 541, 524, 507, 490, 473, 456, 439, 422, 405, 388, 371, 354, 337])).
% 0.40/0.62 tff(559,plain,
% 0.40/0.62 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W))))),
% 0.40/0.62 inference(bind,[status(th)],[])).
% 0.40/0.62 tff(560,plain,
% 0.40/0.62 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.40/0.62 inference(quant_intro,[status(thm)],[559])).
% 0.40/0.62 tff(561,plain,
% 0.40/0.62 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(562,plain,
% 0.40/0.62 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | coffee(skc2, skf14(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | coffee(skc2, skf14(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | coffee(skc2, skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | coffee(skc2, skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))))),
% 0.40/0.62 inference(bind,[status(th)],[])).
% 0.40/0.62 tff(563,plain,
% 0.40/0.62 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | coffee(skc2, skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.40/0.62 inference(quant_intro,[status(thm)],[562])).
% 0.40/0.62 tff(564,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | coffee(skc2, skf14(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause23')).
% 0.40/0.62 tff(565,plain,
% 0.40/0.62 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[564, 563])).
% 0.40/0.62 tff(566,plain,
% 0.40/0.62 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[565, 561])).
% 0.40/0.62 tff(567,plain,(
% 0.40/0.62 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.40/0.62 inference(skolemize,[status(sab)],[566])).
% 0.40/0.62 tff(568,plain,
% 0.40/0.62 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[567, 560])).
% 0.40/0.62 tff(569,plain,
% 0.40/0.62 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(570,plain,
% 0.40/0.62 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | coffee(skc2, skf14(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(571,plain,
% 0.40/0.62 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | coffee(skc2, skf14(skf25(skc2)))))),
% 0.40/0.62 inference(monotonicity,[status(thm)],[570])).
% 0.40/0.62 tff(572,plain,
% 0.40/0.62 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))),
% 0.40/0.62 inference(transitivity,[status(thm)],[571, 569])).
% 0.40/0.62 tff(573,plain,
% 0.40/0.62 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))),
% 0.40/0.62 inference(quant_inst,[status(thm)],[])).
% 0.40/0.62 tff(574,plain,
% 0.40/0.62 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | coffee(skc2, skf14(skf25(skc2)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[573, 572])).
% 0.40/0.62 tff(575,plain,
% 0.40/0.62 ($false),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[574, 568, 272, 320, 305, 290, 558])).
% 0.40/0.62 % SZS output end Proof
% 0.40/0.62 % E exiting
%------------------------------------------------------------------------------