%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : AGT016+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 04:57:41 AM UTC 2025
% Result : Theorem 157.10s 157.37s
% Output : Proof 157.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : AGT016+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 10:45:33 EDT 2025
% 0.12/0.34 % CPUTime :
% 157.10/157.37 % SZS status Theorem
% 157.10/157.37 % SZS output start Proof
% 157.10/157.37 tff(accept_population_type, type, (
% 157.10/157.37 accept_population: ( $i * $i * $i ) > $o)).
% 157.10/157.37 tff(n24_type, type, (
% 157.10/157.37 n24: $i)).
% 157.10/157.37 tff(christian_type, type, (
% 157.10/157.37 christian: $i)).
% 157.10/157.37 tff(muslimcountrybhumanitarianorganization_type, type, (
% 157.10/157.37 muslimcountrybhumanitarianorganization: $i)).
% 157.10/157.37 tff(n75_type, type, (
% 157.10/157.37 n75: $i)).
% 157.10/157.37 tff(atheist_type, type, (
% 157.10/157.37 atheist: $i)).
% 157.10/157.37 tff(n0_type, type, (
% 157.10/157.37 n0: $i)).
% 157.10/157.37 tff(other_type, type, (
% 157.10/157.37 other: $i)).
% 157.10/157.37 tff(native_type, type, (
% 157.10/157.37 native: $i)).
% 157.10/157.37 tff(n1_type, type, (
% 157.10/157.37 n1: $i)).
% 157.10/157.37 tff(muslim_type, type, (
% 157.10/157.37 muslim: $i)).
% 157.10/157.37 tff(accept_city_type, type, (
% 157.10/157.37 accept_city: ( $i * $i ) > $o)).
% 157.10/157.37 tff(towna_type, type, (
% 157.10/157.37 towna: $i)).
% 157.10/157.37 tff(accept_leader_type, type, (
% 157.10/157.37 accept_leader: ( $i * $i ) > $o)).
% 157.10/157.37 tff(countryacivilorganization_type, type, (
% 157.10/157.37 countryacivilorganization: $i)).
% 157.10/157.37 tff(any_agent_in_all_proposed_teams_type, type, (
% 157.10/157.37 any_agent_in_all_proposed_teams: ( $i * $i * $i ) > $o)).
% 157.10/157.37 tff(the_agent_not_in_any_proposed_teams_type, type, (
% 157.10/157.37 the_agent_not_in_any_proposed_teams: ( $i * $i * $i ) > $o)).
% 157.10/157.37 tff(n85_type, type, (
% 157.10/157.37 n85: $i)).
% 157.10/157.37 tff(n3_type, type, (
% 157.10/157.37 n3: $i)).
% 157.10/157.37 tff(n12_type, type, (
% 157.10/157.37 n12: $i)).
% 157.10/157.37 tff(coastvillage_type, type, (
% 157.10/157.37 coastvillage: $i)).
% 157.10/157.37 tff(accept_number_type, type, (
% 157.10/157.37 accept_number: ( $i * $i ) > $o)).
% 157.10/157.37 tff(n5_type, type, (
% 157.10/157.37 n5: $i)).
% 157.10/157.37 tff(christiancountrychumanitarianorganization_type, type, (
% 157.10/157.37 christiancountrychumanitarianorganization: $i)).
% 157.10/157.37 tff(accept_team_type, type, (
% 157.10/157.37 accept_team: ( $i * $i * $i * $i ) > $o)).
% 157.10/157.37 tff(n20_type, type, (
% 157.10/157.37 n20: $i)).
% 157.10/157.37 tff(n78_type, type, (
% 157.10/157.37 n78: $i)).
% 157.10/157.37 tff(cityb_type, type, (
% 157.10/157.37 cityb: $i)).
% 157.10/157.37 tff(n4_type, type, (
% 157.10/157.37 n4: $i)).
% 157.10/157.37 tff(countrybhumanitarianorganization_type, type, (
% 157.10/157.37 countrybhumanitarianorganization: $i)).
% 157.10/157.37 tff(n65_type, type, (
% 157.10/157.37 n65: $i)).
% 157.10/157.37 tff(n30_type, type, (
% 157.10/157.37 n30: $i)).
% 157.10/157.37 tff(townc_type, type, (
% 157.10/157.37 townc: $i)).
% 157.10/157.37 tff(countryahumanitarianorganization_type, type, (
% 157.10/157.37 countryahumanitarianorganization: $i)).
% 157.10/157.37 tff(the_agent_in_all_proposed_teams_type, type, (
% 157.10/157.37 the_agent_in_all_proposed_teams: ( $i * $i * $i ) > $o)).
% 157.10/157.37 tff(1,assumption,(~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)), introduced(assumption)).
% 157.10/157.37 tff(2,plain,
% 157.10/157.37 (^[X: $i, Y: $i] : refl(accept_population(muslimcountrybhumanitarianorganization, X, Y) <=> accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(3,plain,
% 157.10/157.37 (![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y) <=> ![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)),
% 157.10/157.37 inference(quant_intro,[status(thm)],[2])).
% 157.10/157.37 tff(4,plain,
% 157.10/157.37 ((~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))) <=> (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y)))),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(5,axiom,(~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','query_16')).
% 157.10/157.37 tff(6,plain,
% 157.10/157.37 (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[5, 4])).
% 157.10/157.37 tff(7,plain,
% 157.10/157.37 (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[6, 4])).
% 157.10/157.37 tff(8,plain,
% 157.10/157.37 (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[7, 4])).
% 157.10/157.37 tff(9,plain,
% 157.10/157.37 (~?[X: $i, Y: $i] : (~accept_population(muslimcountrybhumanitarianorganization, X, Y))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[8, 4])).
% 157.10/157.37 tff(10,plain,
% 157.10/157.37 (^[X: $i, Y: $i] : refl($oeq(accept_population(muslimcountrybhumanitarianorganization, X, Y), accept_population(muslimcountrybhumanitarianorganization, X, Y)))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(11,plain,(
% 157.10/157.37 ![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)),
% 157.10/157.37 inference(nnf-neg,[status(sab)],[9, 10])).
% 157.10/157.37 tff(12,plain,
% 157.10/157.37 (![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[11, 3])).
% 157.10/157.37 tff(13,plain,
% 157.10/157.37 ((~![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)) | accept_population(muslimcountrybhumanitarianorganization, atheist, n75)),
% 157.10/157.37 inference(quant_inst,[status(thm)],[])).
% 157.10/157.37 tff(14,plain,
% 157.10/157.37 ($false),
% 157.10/157.37 inference(unit_resolution,[status(thm)],[13, 12, 1])).
% 157.10/157.37 tff(15,plain,(accept_population(muslimcountrybhumanitarianorganization, atheist, n75)), inference(lemma,lemma(discharge,[]))).
% 157.10/157.37 tff(16,plain,
% 157.10/157.37 (^[A: $i] : refl((~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(17,plain,
% 157.10/157.37 (![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[16])).
% 157.10/157.37 tff(18,plain,
% 157.10/157.37 (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> (~((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))))), (((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ((~((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0)))) <=> accept_city(A, towna)))), rewrite(((~((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0)))) <=> accept_city(A, towna)) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))), (((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))))), rewrite((~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))), (((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(19,plain,
% 157.10/157.37 (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[18])).
% 157.10/157.37 tff(20,plain,
% 157.10/157.37 (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(21,plain,
% 157.10/157.37 (^[A: $i] : rewrite((((((accept_population(A, atheist, n75) & accept_population(A, christian, n24)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(22,plain,
% 157.10/157.37 (![A: $i] : (((((accept_population(A, atheist, n75) & accept_population(A, christian, n24)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[21])).
% 157.10/157.37 tff(23,axiom,(![A: $i] : (((((accept_population(A, atheist, n75) & accept_population(A, christian, n24)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n0)) <=> accept_city(A, towna))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_9')).
% 157.10/157.37 tff(24,plain,
% 157.10/157.37 (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[23, 22])).
% 157.10/157.37 tff(25,plain,
% 157.10/157.37 (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[24, 20])).
% 157.10/157.37 tff(26,plain,(
% 157.10/157.37 ![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 157.10/157.37 inference(skolemize,[status(sab)],[25])).
% 157.10/157.37 tff(27,plain,
% 157.10/157.37 (![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[26, 19])).
% 157.10/157.37 tff(28,plain,
% 157.10/157.37 (![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[27, 17])).
% 157.10/157.37 tff(29,plain,
% 157.10/157.37 ((~![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))) | (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, towna)))),
% 157.10/157.37 inference(quant_inst,[status(thm)],[])).
% 157.10/157.37 tff(30,plain,
% 157.10/157.37 (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, towna))),
% 157.10/157.37 inference(unit_resolution,[status(thm)],[29, 28])).
% 157.10/157.37 tff(31,plain,
% 157.10/157.37 (any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna) <=> any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(32,axiom,(any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_12')).
% 157.10/157.37 tff(33,plain,
% 157.10/157.37 (any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[32, 31])).
% 157.10/157.37 tff(34,plain,
% 157.10/157.37 (^[A: $i, L: $i, C: $i] : refl(((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L)) <=> ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L)))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(35,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L)) <=> ![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[34])).
% 157.10/157.37 tff(36,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L)) <=> ![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(37,plain,
% 157.10/157.37 (^[A: $i, L: $i, C: $i] : rewrite((any_agent_in_all_proposed_teams(A, L, C) => accept_leader(A, L)) <=> ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L)))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(38,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : (any_agent_in_all_proposed_teams(A, L, C) => accept_leader(A, L)) <=> ![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[37])).
% 157.10/157.37 tff(39,axiom,(![A: $i, L: $i, C: $i] : (any_agent_in_all_proposed_teams(A, L, C) => accept_leader(A, L))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_5')).
% 157.10/157.37 tff(40,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[39, 38])).
% 157.10/157.37 tff(41,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[40, 36])).
% 157.10/157.37 tff(42,plain,(
% 157.10/157.37 ![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))),
% 157.10/157.37 inference(skolemize,[status(sab)],[41])).
% 157.10/157.37 tff(43,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[42, 35])).
% 157.10/157.37 tff(44,plain,
% 157.10/157.37 (((~![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))) | ((~any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization))) <=> ((~![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))) | (~any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization))),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(45,plain,
% 157.10/157.37 ((~![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))) | ((~any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization))),
% 157.10/157.37 inference(quant_inst,[status(thm)],[])).
% 157.10/157.37 tff(46,plain,
% 157.10/157.37 ((~![A: $i, L: $i, C: $i] : ((~any_agent_in_all_proposed_teams(A, L, C)) | accept_leader(A, L))) | (~any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[45, 44])).
% 157.10/157.37 tff(47,plain,
% 157.10/157.37 (accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)),
% 157.10/157.37 inference(unit_resolution,[status(thm)],[46, 43, 33])).
% 157.10/157.37 tff(48,plain,
% 157.10/157.37 (the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna) <=> the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(49,axiom,(the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_11')).
% 157.10/157.37 tff(50,plain,
% 157.10/157.37 (the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[49, 48])).
% 157.10/157.37 tff(51,plain,
% 157.10/157.37 (^[A: $i, L: $i, C: $i] : refl(((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C))) <=> ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C))))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(52,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[51])).
% 157.10/157.37 tff(53,plain,
% 157.10/157.37 (^[A: $i, L: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((accept_city(A, C) & accept_leader(A, L)) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L))))), ((~(accept_city(A, C) & accept_leader(A, L))) <=> (~(~((~accept_city(A, C)) | (~accept_leader(A, L))))))), rewrite((~(~((~accept_city(A, C)) | (~accept_leader(A, L))))) <=> ((~accept_city(A, C)) | (~accept_leader(A, L)))), ((~(accept_city(A, C) & accept_leader(A, L))) <=> ((~accept_city(A, C)) | (~accept_leader(A, L))))), (((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L)))) <=> ((~the_agent_not_in_any_proposed_teams(A, L, C)) | ((~accept_city(A, C)) | (~accept_leader(A, L)))))), rewrite(((~the_agent_not_in_any_proposed_teams(A, L, C)) | ((~accept_city(A, C)) | (~accept_leader(A, L)))) <=> ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))), (((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L)))) <=> ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(54,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L)))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[53])).
% 157.10/157.37 tff(55,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L)))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L))))),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(56,plain,
% 157.10/157.37 (^[A: $i, L: $i, C: $i] : rewrite((the_agent_not_in_any_proposed_teams(A, L, C) => (~(accept_city(A, C) & accept_leader(A, L)))) <=> ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L)))))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(57,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : (the_agent_not_in_any_proposed_teams(A, L, C) => (~(accept_city(A, C) & accept_leader(A, L)))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L))))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[56])).
% 157.10/157.37 tff(58,axiom,(![A: $i, L: $i, C: $i] : (the_agent_not_in_any_proposed_teams(A, L, C) => (~(accept_city(A, C) & accept_leader(A, L))))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_6')).
% 157.10/157.37 tff(59,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L))))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[58, 57])).
% 157.10/157.37 tff(60,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L))))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[59, 55])).
% 157.10/157.37 tff(61,plain,(
% 157.10/157.37 ![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~(accept_city(A, C) & accept_leader(A, L))))),
% 157.10/157.37 inference(skolemize,[status(sab)],[60])).
% 157.10/157.37 tff(62,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[61, 54])).
% 157.10/157.37 tff(63,plain,
% 157.10/157.37 (![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[62, 52])).
% 157.10/157.37 tff(64,plain,
% 157.10/157.37 (((~![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))) | ((~accept_city(muslimcountrybhumanitarianorganization, towna)) | (~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))) | (~accept_city(muslimcountrybhumanitarianorganization, towna)) | (~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)))),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(65,plain,
% 157.10/157.37 (((~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)) | (~accept_city(muslimcountrybhumanitarianorganization, towna))) <=> ((~accept_city(muslimcountrybhumanitarianorganization, towna)) | (~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)))),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(66,plain,
% 157.10/157.37 (((~![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))) | ((~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)) | (~accept_city(muslimcountrybhumanitarianorganization, towna)))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))) | ((~accept_city(muslimcountrybhumanitarianorganization, towna)) | (~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization))))),
% 157.10/157.37 inference(monotonicity,[status(thm)],[65])).
% 157.10/157.37 tff(67,plain,
% 157.10/157.37 (((~![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))) | ((~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)) | (~accept_city(muslimcountrybhumanitarianorganization, towna)))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))) | (~accept_city(muslimcountrybhumanitarianorganization, towna)) | (~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)))),
% 157.10/157.37 inference(transitivity,[status(thm)],[66, 64])).
% 157.10/157.37 tff(68,plain,
% 157.10/157.37 ((~![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))) | ((~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization)) | (~accept_city(muslimcountrybhumanitarianorganization, towna)))),
% 157.10/157.37 inference(quant_inst,[status(thm)],[])).
% 157.10/157.37 tff(69,plain,
% 157.10/157.37 ((~![A: $i, L: $i, C: $i] : ((~the_agent_not_in_any_proposed_teams(A, L, C)) | (~accept_leader(A, L)) | (~accept_city(A, C)))) | (~accept_city(muslimcountrybhumanitarianorganization, towna)) | (~the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization, countryacivilorganization, towna)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryacivilorganization))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[68, 67])).
% 157.10/157.37 tff(70,plain,
% 157.10/157.37 (~accept_city(muslimcountrybhumanitarianorganization, towna)),
% 157.10/157.37 inference(unit_resolution,[status(thm)],[69, 63, 50, 47])).
% 157.10/157.37 tff(71,plain,
% 157.10/157.37 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, towna)) | ((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) | accept_city(muslimcountrybhumanitarianorganization, towna)),
% 157.10/157.37 inference(tautology,[status(thm)],[])).
% 157.10/157.37 tff(72,plain,
% 157.10/157.37 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, towna)) | ((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))),
% 157.10/157.37 inference(unit_resolution,[status(thm)],[71, 70])).
% 157.10/157.37 tff(73,plain,
% 157.10/157.37 ((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))),
% 157.10/157.37 inference(unit_resolution,[status(thm)],[72, 30])).
% 157.10/157.37 tff(74,plain,
% 157.10/157.37 (^[A: $i] : refl((~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(75,plain,
% 157.10/157.37 (![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[74])).
% 157.10/157.37 tff(76,plain,
% 157.10/157.37 (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> (~((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))))), (((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ((~((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0)))) <=> accept_city(A, coastvillage)))), rewrite(((~((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0)))) <=> accept_city(A, coastvillage)) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))), (((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))))), rewrite((~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage))) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))), (((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(77,plain,
% 157.10/157.37 (![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[76])).
% 157.10/157.37 tff(78,plain,
% 157.10/157.37 (![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 157.10/157.37 inference(rewrite,[status(thm)],[])).
% 157.10/157.37 tff(79,plain,
% 157.10/157.37 (^[A: $i] : rewrite((((((accept_population(A, atheist, n12) & accept_population(A, christian, n3)) & accept_population(A, muslim, n0)) & accept_population(A, native, n85)) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)))),
% 157.10/157.37 inference(bind,[status(th)],[])).
% 157.10/157.37 tff(80,plain,
% 157.10/157.37 (![A: $i] : (((((accept_population(A, atheist, n12) & accept_population(A, christian, n3)) & accept_population(A, muslim, n0)) & accept_population(A, native, n85)) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage)) <=> ![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 157.10/157.37 inference(quant_intro,[status(thm)],[79])).
% 157.10/157.37 tff(81,axiom,(![A: $i] : (((((accept_population(A, atheist, n12) & accept_population(A, christian, n3)) & accept_population(A, muslim, n0)) & accept_population(A, native, n85)) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_7')).
% 157.10/157.37 tff(82,plain,
% 157.10/157.37 (![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[81, 80])).
% 157.10/157.37 tff(83,plain,
% 157.10/157.37 (![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[82, 78])).
% 157.10/157.37 tff(84,plain,(
% 157.10/157.37 ![A: $i] : ((accept_population(A, atheist, n12) & accept_population(A, christian, n3) & accept_population(A, muslim, n0) & accept_population(A, native, n85) & accept_population(A, other, n0)) <=> accept_city(A, coastvillage))),
% 157.10/157.37 inference(skolemize,[status(sab)],[83])).
% 157.10/157.37 tff(85,plain,
% 157.10/157.37 (![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))),
% 157.10/157.37 inference(modus_ponens,[status(thm)],[84, 77])).
% 157.10/157.38 tff(86,plain,
% 157.10/157.38 (![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))),
% 157.10/157.38 inference(modus_ponens,[status(thm)],[85, 75])).
% 157.10/157.38 tff(87,plain,
% 157.10/157.38 ((~![A: $i] : (~(((~accept_population(A, atheist, n12)) | (~accept_population(A, christian, n3)) | (~accept_population(A, muslim, n0)) | (~accept_population(A, native, n85)) | (~accept_population(A, other, n0))) <=> accept_city(A, coastvillage)))) | (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n12)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n3)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n85)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, coastvillage)))),
% 157.10/157.38 inference(quant_inst,[status(thm)],[])).
% 157.10/157.38 tff(88,plain,
% 157.10/157.38 (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n12)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n3)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n85)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, coastvillage))),
% 157.10/157.38 inference(unit_resolution,[status(thm)],[87, 86])).
% 157.10/157.38 tff(89,plain,
% 157.10/157.38 (^[A: $i, C: $i, N: $i, L: $i] : refl((~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))))),
% 157.10/157.38 inference(bind,[status(th)],[])).
% 157.10/157.38 tff(90,plain,
% 157.10/157.38 (![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 157.10/157.38 inference(quant_intro,[status(thm)],[89])).
% 157.10/157.38 tff(91,plain,
% 157.10/157.38 (^[A: $i, C: $i, N: $i, L: $i] : trans(trans(monotonicity(rewrite((accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))), ((accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> (accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))))), rewrite((accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))), ((accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))))), rewrite((~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))), ((accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))))),
% 157.10/157.38 inference(bind,[status(th)],[])).
% 157.10/157.38 tff(92,plain,
% 157.10/157.38 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 157.10/157.38 inference(quant_intro,[status(thm)],[91])).
% 157.10/157.38 tff(93,plain,
% 157.10/157.38 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 157.10/157.38 inference(rewrite,[status(thm)],[])).
% 157.10/157.38 tff(94,plain,
% 157.10/157.38 (^[A: $i, C: $i, N: $i, L: $i] : rewrite((accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N))) <=> (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))))),
% 157.10/157.38 inference(bind,[status(th)],[])).
% 157.10/157.38 tff(95,plain,
% 157.10/157.38 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 157.10/157.38 inference(quant_intro,[status(thm)],[94])).
% 157.10/157.38 tff(96,axiom,(![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N)))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_1')).
% 157.10/157.38 tff(97,plain,
% 157.10/157.38 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 157.10/157.38 inference(modus_ponens,[status(thm)],[96, 95])).
% 157.10/157.38 tff(98,plain,
% 157.10/157.38 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 157.10/157.38 inference(modus_ponens,[status(thm)],[97, 93])).
% 157.10/157.38 tff(99,plain,(
% 157.10/157.38 ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 157.10/157.38 inference(skolemize,[status(sab)],[98])).
% 157.10/157.38 tff(100,plain,
% 157.10/157.38 (![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 157.10/157.38 inference(modus_ponens,[status(thm)],[99, 92])).
% 157.10/157.38 tff(101,plain,
% 157.10/157.38 (![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 157.10/157.38 inference(modus_ponens,[status(thm)],[100, 90])).
% 157.10/157.38 tff(102,plain,
% 157.10/157.38 ((~![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))) | (~(((~accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~accept_leader(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n5))) <=> accept_team(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization, coastvillage, n5)))),
% 157.10/157.38 inference(quant_inst,[status(thm)],[])).
% 157.10/157.38 tff(103,plain,
% 157.10/157.38 (~(((~accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~accept_leader(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n5))) <=> accept_team(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization, coastvillage, n5))),
% 157.10/157.38 inference(unit_resolution,[status(thm)],[102, 101])).
% 157.10/157.38 tff(104,plain,
% 157.10/157.38 (accept_team(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization, coastvillage, n5) <=> accept_team(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization, coastvillage, n5)),
% 157.10/157.38 inference(rewrite,[status(thm)],[])).
% 157.10/157.38 tff(105,axiom,(accept_team(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization, coastvillage, n5)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_13')).
% 157.10/157.38 tff(106,plain,
% 157.10/157.38 (accept_team(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization, coastvillage, n5)),
% 157.10/157.38 inference(modus_ponens,[status(thm)],[105, 104])).
% 157.10/157.38 tff(107,plain,
% 157.10/157.38 ((((~accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~accept_leader(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n5))) <=> accept_team(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization, coastvillage, n5)) | (~((~accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~accept_leader(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n5)))) | (~accept_team(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization, coastvillage, n5))),
% 157.10/157.38 inference(tautology,[status(thm)],[])).
% 157.10/157.38 tff(108,plain,
% 157.10/157.38 ((((~accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~accept_leader(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n5))) <=> accept_team(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization, coastvillage, n5)) | (~((~accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~accept_leader(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n5))))),
% 157.10/157.38 inference(unit_resolution,[status(thm)],[107, 106])).
% 157.10/157.38 tff(109,plain,
% 157.10/157.38 (~((~accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~accept_leader(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n5)))),
% 157.10/157.38 inference(unit_resolution,[status(thm)],[108, 103])).
% 157.10/157.38 tff(110,plain,
% 157.10/157.38 (((~accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~accept_leader(muslimcountrybhumanitarianorganization, christiancountrychumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n5))) | accept_city(muslimcountrybhumanitarianorganization, coastvillage)),
% 157.10/157.38 inference(tautology,[status(thm)],[])).
% 157.10/157.38 tff(111,plain,
% 157.10/157.38 (accept_city(muslimcountrybhumanitarianorganization, coastvillage)),
% 157.10/157.38 inference(unit_resolution,[status(thm)],[110, 109])).
% 157.10/157.38 tff(112,plain,
% 157.10/157.38 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n12)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n3)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n85)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n12)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n3)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n85)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))) | (~accept_city(muslimcountrybhumanitarianorganization, coastvillage))),
% 157.10/157.38 inference(tautology,[status(thm)],[])).
% 157.10/157.38 tff(113,plain,
% 157.10/157.38 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n12)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n3)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n85)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) <=> accept_city(muslimcountrybhumanitarianorganization, coastvillage)) | (~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n12)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n3)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n85)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))))),
% 157.10/157.38 inference(unit_resolution,[status(thm)],[112, 111])).
% 157.10/157.38 tff(114,plain,
% 157.10/157.38 (~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n12)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n3)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n85)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))),
% 157.10/157.38 inference(unit_resolution,[status(thm)],[113, 88])).
% 157.10/157.38 tff(115,plain,
% 157.10/157.38 (((~accept_population(muslimcountrybhumanitarianorganization, atheist, n12)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n3)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n85)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))) | accept_population(muslimcountrybhumanitarianorganization, other, n0)),
% 157.10/157.38 inference(tautology,[status(thm)],[])).
% 157.10/157.38 tff(116,plain,
% 157.10/157.38 (accept_population(muslimcountrybhumanitarianorganization, other, n0)),
% 157.10/157.38 inference(unit_resolution,[status(thm)],[115, 114])).
% 157.10/157.38 tff(117,plain,
% 157.10/157.38 (^[A: $i] : refl((~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))))),
% 157.10/157.38 inference(bind,[status(th)],[])).
% 157.10/157.38 tff(118,plain,
% 157.10/157.38 (![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 157.10/157.38 inference(quant_intro,[status(thm)],[117])).
% 157.10/157.38 tff(119,plain,
% 157.10/157.38 (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> (~((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))))), (((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ((~((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1)))) <=> accept_city(A, cityb)))), rewrite(((~((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1)))) <=> accept_city(A, cityb)) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))), (((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))))), rewrite((~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))), (((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))))),
% 157.16/157.38 inference(bind,[status(th)],[])).
% 157.16/157.38 tff(120,plain,
% 157.16/157.38 (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 157.16/157.38 inference(quant_intro,[status(thm)],[119])).
% 157.16/157.38 tff(121,plain,
% 157.16/157.38 (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 157.16/157.38 inference(rewrite,[status(thm)],[])).
% 157.16/157.38 tff(122,plain,
% 157.16/157.38 (^[A: $i] : rewrite((((((accept_population(A, atheist, n78) & accept_population(A, christian, n20)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)))),
% 157.16/157.38 inference(bind,[status(th)],[])).
% 157.16/157.38 tff(123,plain,
% 157.16/157.38 (![A: $i] : (((((accept_population(A, atheist, n78) & accept_population(A, christian, n20)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 157.16/157.38 inference(quant_intro,[status(thm)],[122])).
% 157.16/157.38 tff(124,axiom,(![A: $i] : (((((accept_population(A, atheist, n78) & accept_population(A, christian, n20)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n1)) <=> accept_city(A, cityb))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_12')).
% 157.16/157.38 tff(125,plain,
% 157.16/157.38 (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 157.16/157.38 inference(modus_ponens,[status(thm)],[124, 123])).
% 157.16/157.38 tff(126,plain,
% 157.16/157.38 (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 157.16/157.38 inference(modus_ponens,[status(thm)],[125, 121])).
% 157.16/157.38 tff(127,plain,(
% 157.16/157.38 ![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 157.16/157.38 inference(skolemize,[status(sab)],[126])).
% 157.16/157.38 tff(128,plain,
% 157.16/157.38 (![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 157.16/157.38 inference(modus_ponens,[status(thm)],[127, 120])).
% 157.16/157.38 tff(129,plain,
% 157.16/157.38 (![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 157.16/157.38 inference(modus_ponens,[status(thm)],[128, 118])).
% 157.16/157.38 tff(130,plain,
% 157.16/157.38 ((~![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))) | (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n78)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n20)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n1))) <=> accept_city(muslimcountrybhumanitarianorganization, cityb)))),
% 157.16/157.38 inference(quant_inst,[status(thm)],[])).
% 157.16/157.38 tff(131,plain,
% 157.16/157.38 (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n78)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n20)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n1))) <=> accept_city(muslimcountrybhumanitarianorganization, cityb))),
% 157.16/157.38 inference(unit_resolution,[status(thm)],[130, 129])).
% 157.16/157.38 tff(132,plain,
% 157.16/157.38 ((~![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))) | (~(((~accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~accept_leader(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n4))) <=> accept_team(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization, cityb, n4)))),
% 157.16/157.38 inference(quant_inst,[status(thm)],[])).
% 157.16/157.38 tff(133,plain,
% 157.16/157.38 (~(((~accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~accept_leader(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n4))) <=> accept_team(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization, cityb, n4))),
% 157.16/157.38 inference(unit_resolution,[status(thm)],[132, 101])).
% 157.16/157.38 tff(134,plain,
% 157.16/157.38 (accept_team(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization, cityb, n4) <=> accept_team(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization, cityb, n4)),
% 157.16/157.38 inference(rewrite,[status(thm)],[])).
% 157.16/157.38 tff(135,axiom,(accept_team(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization, cityb, n4)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_8')).
% 157.16/157.38 tff(136,plain,
% 157.16/157.38 (accept_team(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization, cityb, n4)),
% 157.16/157.38 inference(modus_ponens,[status(thm)],[135, 134])).
% 157.16/157.38 tff(137,plain,
% 157.16/157.38 ((((~accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~accept_leader(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n4))) <=> accept_team(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization, cityb, n4)) | (~((~accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~accept_leader(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n4)))) | (~accept_team(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization, cityb, n4))),
% 157.16/157.38 inference(tautology,[status(thm)],[])).
% 157.16/157.38 tff(138,plain,
% 157.16/157.38 ((((~accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~accept_leader(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n4))) <=> accept_team(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization, cityb, n4)) | (~((~accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~accept_leader(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n4))))),
% 157.16/157.38 inference(unit_resolution,[status(thm)],[137, 136])).
% 157.16/157.38 tff(139,plain,
% 157.16/157.38 (~((~accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~accept_leader(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n4)))),
% 157.16/157.38 inference(unit_resolution,[status(thm)],[138, 133])).
% 157.16/157.38 tff(140,plain,
% 157.16/157.38 (((~accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~accept_leader(muslimcountrybhumanitarianorganization, countrybhumanitarianorganization)) | (~accept_number(muslimcountrybhumanitarianorganization, n4))) | accept_city(muslimcountrybhumanitarianorganization, cityb)),
% 157.16/157.38 inference(tautology,[status(thm)],[])).
% 157.16/157.38 tff(141,plain,
% 157.16/157.38 (accept_city(muslimcountrybhumanitarianorganization, cityb)),
% 157.16/157.38 inference(unit_resolution,[status(thm)],[140, 139])).
% 157.16/157.38 tff(142,plain,
% 157.16/157.38 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n78)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n20)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n1))) <=> accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n78)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n20)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n1)))) | (~accept_city(muslimcountrybhumanitarianorganization, cityb))),
% 157.16/157.38 inference(tautology,[status(thm)],[])).
% 157.16/157.38 tff(143,plain,
% 157.16/157.38 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n78)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n20)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n1))) <=> accept_city(muslimcountrybhumanitarianorganization, cityb)) | (~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n78)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n20)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n1))))),
% 157.16/157.38 inference(unit_resolution,[status(thm)],[142, 141])).
% 157.16/157.38 tff(144,plain,
% 157.16/157.38 (~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n78)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n20)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n1)))),
% 157.16/157.38 inference(unit_resolution,[status(thm)],[143, 131])).
% 157.16/157.38 tff(145,plain,
% 157.16/157.38 (((~accept_population(muslimcountrybhumanitarianorganization, atheist, n78)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n20)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n1))) | accept_population(muslimcountrybhumanitarianorganization, muslim, n1)),
% 157.16/157.38 inference(tautology,[status(thm)],[])).
% 157.16/157.38 tff(146,plain,
% 157.16/157.38 (accept_population(muslimcountrybhumanitarianorganization, muslim, n1)),
% 157.16/157.38 inference(unit_resolution,[status(thm)],[145, 144])).
% 157.16/157.38 tff(147,plain,
% 157.16/157.38 (^[A: $i] : refl((~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))))),
% 157.16/157.38 inference(bind,[status(th)],[])).
% 157.16/157.38 tff(148,plain,
% 157.16/157.38 (![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 157.16/157.38 inference(quant_intro,[status(thm)],[147])).
% 157.16/157.38 tff(149,plain,
% 157.16/157.38 (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> (~((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))))), (((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ((~((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5)))) <=> accept_city(A, townc)))), rewrite(((~((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5)))) <=> accept_city(A, townc)) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))), (((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))))), rewrite((~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))), (((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))))),
% 157.16/157.38 inference(bind,[status(th)],[])).
% 157.16/157.38 tff(150,plain,
% 157.16/157.38 (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 157.16/157.39 inference(quant_intro,[status(thm)],[149])).
% 157.16/157.39 tff(151,plain,
% 157.16/157.39 (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 157.16/157.39 inference(rewrite,[status(thm)],[])).
% 157.16/157.39 tff(152,plain,
% 157.16/157.39 (^[A: $i] : rewrite((((((accept_population(A, atheist, n30) & accept_population(A, christian, n0)) & accept_population(A, muslim, n65)) & accept_population(A, native, n0)) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)))),
% 157.16/157.39 inference(bind,[status(th)],[])).
% 157.16/157.39 tff(153,plain,
% 157.16/157.39 (![A: $i] : (((((accept_population(A, atheist, n30) & accept_population(A, christian, n0)) & accept_population(A, muslim, n65)) & accept_population(A, native, n0)) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 157.16/157.39 inference(quant_intro,[status(thm)],[152])).
% 157.16/157.39 tff(154,axiom,(![A: $i] : (((((accept_population(A, atheist, n30) & accept_population(A, christian, n0)) & accept_population(A, muslim, n65)) & accept_population(A, native, n0)) & accept_population(A, other, n5)) <=> accept_city(A, townc))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_13')).
% 157.16/157.39 tff(155,plain,
% 157.16/157.39 (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[154, 153])).
% 157.16/157.39 tff(156,plain,
% 157.16/157.39 (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[155, 151])).
% 157.16/157.39 tff(157,plain,(
% 157.16/157.39 ![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 157.16/157.39 inference(skolemize,[status(sab)],[156])).
% 157.16/157.39 tff(158,plain,
% 157.16/157.39 (![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[157, 150])).
% 157.16/157.39 tff(159,plain,
% 157.16/157.39 (![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[158, 148])).
% 157.16/157.39 tff(160,plain,
% 157.16/157.39 ((~![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))) | (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n30)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n65)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n5))) <=> accept_city(muslimcountrybhumanitarianorganization, townc)))),
% 157.16/157.39 inference(quant_inst,[status(thm)],[])).
% 157.16/157.39 tff(161,plain,
% 157.16/157.39 (~(((~accept_population(muslimcountrybhumanitarianorganization, atheist, n30)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n65)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n5))) <=> accept_city(muslimcountrybhumanitarianorganization, townc))),
% 157.16/157.39 inference(unit_resolution,[status(thm)],[160, 159])).
% 157.16/157.39 tff(162,plain,
% 157.16/157.39 (the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc) <=> the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)),
% 157.16/157.39 inference(rewrite,[status(thm)],[])).
% 157.16/157.39 tff(163,axiom,(the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_104')).
% 157.16/157.39 tff(164,plain,
% 157.16/157.39 (the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[163, 162])).
% 157.16/157.39 tff(165,plain,
% 157.16/157.39 (^[A: $i, L: $i, C: $i] : refl(((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))) <=> ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))))),
% 157.16/157.39 inference(bind,[status(th)],[])).
% 157.16/157.39 tff(166,plain,
% 157.16/157.39 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 157.16/157.39 inference(quant_intro,[status(thm)],[165])).
% 157.16/157.39 tff(167,plain,
% 157.16/157.39 (^[A: $i, L: $i, C: $i] : rewrite(((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))) <=> ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))))),
% 157.16/157.39 inference(bind,[status(th)],[])).
% 157.16/157.39 tff(168,plain,
% 157.16/157.39 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 157.16/157.39 inference(quant_intro,[status(thm)],[167])).
% 157.16/157.39 tff(169,plain,
% 157.16/157.39 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 157.16/157.39 inference(rewrite,[status(thm)],[])).
% 157.16/157.39 tff(170,plain,
% 157.16/157.39 (^[A: $i, L: $i, C: $i] : rewrite((the_agent_in_all_proposed_teams(A, L, C) => (accept_leader(A, L) & accept_city(A, C))) <=> ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))))),
% 157.16/157.39 inference(bind,[status(th)],[])).
% 157.16/157.39 tff(171,plain,
% 157.16/157.39 (![A: $i, L: $i, C: $i] : (the_agent_in_all_proposed_teams(A, L, C) => (accept_leader(A, L) & accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 157.16/157.39 inference(quant_intro,[status(thm)],[170])).
% 157.16/157.39 tff(172,axiom,(![A: $i, L: $i, C: $i] : (the_agent_in_all_proposed_teams(A, L, C) => (accept_leader(A, L) & accept_city(A, C)))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_4')).
% 157.16/157.39 tff(173,plain,
% 157.16/157.39 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[172, 171])).
% 157.16/157.39 tff(174,plain,
% 157.16/157.39 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[173, 169])).
% 157.16/157.39 tff(175,plain,(
% 157.16/157.39 ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 157.16/157.39 inference(skolemize,[status(sab)],[174])).
% 157.16/157.39 tff(176,plain,
% 157.16/157.39 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[175, 168])).
% 157.16/157.39 tff(177,plain,
% 157.16/157.39 (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[176, 166])).
% 157.16/157.39 tff(178,plain,
% 157.16/157.39 (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(muslimcountrybhumanitarianorganization, townc)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(muslimcountrybhumanitarianorganization, townc)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization)))))),
% 157.16/157.39 inference(rewrite,[status(thm)],[])).
% 157.16/157.39 tff(179,plain,
% 157.16/157.39 (((~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization)) | (~accept_city(muslimcountrybhumanitarianorganization, townc))))) <=> ((~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(muslimcountrybhumanitarianorganization, townc)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization)))))),
% 157.16/157.39 inference(rewrite,[status(thm)],[])).
% 157.16/157.39 tff(180,plain,
% 157.16/157.39 (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization)) | (~accept_city(muslimcountrybhumanitarianorganization, townc)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(muslimcountrybhumanitarianorganization, townc)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization))))))),
% 157.16/157.39 inference(monotonicity,[status(thm)],[179])).
% 157.16/157.39 tff(181,plain,
% 157.16/157.39 (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization)) | (~accept_city(muslimcountrybhumanitarianorganization, townc)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(muslimcountrybhumanitarianorganization, townc)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization)))))),
% 157.16/157.39 inference(transitivity,[status(thm)],[180, 178])).
% 157.16/157.39 tff(182,plain,
% 157.16/157.39 ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization)) | (~accept_city(muslimcountrybhumanitarianorganization, townc)))))),
% 157.16/157.39 inference(quant_inst,[status(thm)],[])).
% 157.16/157.39 tff(183,plain,
% 157.16/157.39 ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(muslimcountrybhumanitarianorganization, townc)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization))))),
% 157.16/157.39 inference(modus_ponens,[status(thm)],[182, 181])).
% 157.16/157.39 tff(184,plain,
% 157.16/157.39 (~((~accept_city(muslimcountrybhumanitarianorganization, townc)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization)))),
% 157.16/157.39 inference(unit_resolution,[status(thm)],[183, 177, 164])).
% 157.16/157.39 tff(185,plain,
% 157.16/157.39 (((~accept_city(muslimcountrybhumanitarianorganization, townc)) | (~accept_leader(muslimcountrybhumanitarianorganization, countryahumanitarianorganization))) | accept_city(muslimcountrybhumanitarianorganization, townc)),
% 157.16/157.39 inference(tautology,[status(thm)],[])).
% 157.16/157.39 tff(186,plain,
% 157.16/157.39 (accept_city(muslimcountrybhumanitarianorganization, townc)),
% 157.16/157.39 inference(unit_resolution,[status(thm)],[185, 184])).
% 157.16/157.39 tff(187,plain,
% 157.16/157.39 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n30)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n65)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n5))) <=> accept_city(muslimcountrybhumanitarianorganization, townc)) | (~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n30)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n65)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n5)))) | (~accept_city(muslimcountrybhumanitarianorganization, townc))),
% 157.16/157.39 inference(tautology,[status(thm)],[])).
% 157.16/157.39 tff(188,plain,
% 157.16/157.39 ((((~accept_population(muslimcountrybhumanitarianorganization, atheist, n30)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n65)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n5))) <=> accept_city(muslimcountrybhumanitarianorganization, townc)) | (~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n30)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n65)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n5))))),
% 157.16/157.39 inference(unit_resolution,[status(thm)],[187, 186])).
% 157.16/157.39 tff(189,plain,
% 157.16/157.39 (~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n30)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n65)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n5)))),
% 157.16/157.39 inference(unit_resolution,[status(thm)],[188, 161])).
% 157.16/157.39 tff(190,plain,
% 157.16/157.39 (((~accept_population(muslimcountrybhumanitarianorganization, atheist, n30)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n65)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n5))) | accept_population(muslimcountrybhumanitarianorganization, native, n0)),
% 157.16/157.46 inference(tautology,[status(thm)],[])).
% 157.16/157.46 tff(191,plain,
% 157.16/157.46 (accept_population(muslimcountrybhumanitarianorganization, native, n0)),
% 157.16/157.46 inference(unit_resolution,[status(thm)],[190, 189])).
% 157.16/157.46 tff(192,plain,
% 157.16/157.46 ((~((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0)))) | (~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)) | (~accept_population(muslimcountrybhumanitarianorganization, muslim, n1)) | (~accept_population(muslimcountrybhumanitarianorganization, native, n0)) | (~accept_population(muslimcountrybhumanitarianorganization, other, n0))),
% 157.16/157.46 inference(tautology,[status(thm)],[])).
% 157.16/157.46 tff(193,plain,
% 157.16/157.46 ((~accept_population(muslimcountrybhumanitarianorganization, atheist, n75)) | (~accept_population(muslimcountrybhumanitarianorganization, christian, n24))),
% 157.16/157.46 inference(unit_resolution,[status(thm)],[192, 191, 146, 116, 73])).
% 157.16/157.46 tff(194,plain,
% 157.16/157.46 (~accept_population(muslimcountrybhumanitarianorganization, christian, n24)),
% 157.16/157.46 inference(unit_resolution,[status(thm)],[193, 15])).
% 157.16/157.46 tff(195,plain,
% 157.16/157.46 ((~![X: $i, Y: $i] : accept_population(muslimcountrybhumanitarianorganization, X, Y)) | accept_population(muslimcountrybhumanitarianorganization, christian, n24)),
% 157.16/157.46 inference(quant_inst,[status(thm)],[])).
% 157.16/157.46 tff(196,plain,
% 157.16/157.46 ($false),
% 157.16/157.46 inference(unit_resolution,[status(thm)],[195, 12, 194])).
% 157.16/157.46 % SZS output end Proof
% 157.16/157.46 % E exiting
%------------------------------------------------------------------------------