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Z3---4.15.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : CSR054+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jun 21 05:01:34 AM UTC 2025

% Result   : Theorem 0.22s 0.40s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : CSR054+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Jun 19 12:41:56 EDT 2025
% 0.13/0.35  % CPUTime    : 
% 0.22/0.40  % SZS status Theorem
% 0.22/0.40  % SZS output start Proof
% 0.22/0.40  tff(tptpofobject_type, type, (
% 0.22/0.40     tptpofobject: ( $i * $i ) > $o)).
% 0.22/0.40  tff(f_tptpquantityfn_21_type, type, (
% 0.22/0.40     f_tptpquantityfn_21: $i > $i)).
% 0.22/0.40  tff(n_170_type, type, (
% 0.22/0.40     n_170: $i)).
% 0.22/0.40  tff(f_instancewithrelationtofn_type, type, (
% 0.22/0.40     f_instancewithrelationtofn: ( $i * $i * $i ) > $i)).
% 0.22/0.40  tff(s_tlh_type, type, (
% 0.22/0.40     s_tlh: $i)).
% 0.22/0.40  tff(c_airporthasiatacode_type, type, (
% 0.22/0.40     c_airporthasiatacode: $i)).
% 0.22/0.40  tff(c_airport_physical_type, type, (
% 0.22/0.40     c_airport_physical: $i)).
% 0.22/0.40  tff(mtvisible_type, type, (
% 0.22/0.40     mtvisible: $i > $o)).
% 0.22/0.40  tff(c_currentworlddatacollectormt_nonhomocentric_type, type, (
% 0.22/0.40     c_currentworlddatacollectormt_nonhomocentric: $i)).
% 0.22/0.40  tff(elem_0_type, type, (
% 0.22/0.40     elem_0: $i)).
% 0.22/0.40  tff(1,plain,
% 0.22/0.40      (^[X: $i] : refl((~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))) <=> (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))))),
% 0.22/0.40      inference(bind,[status(th)],[])).
% 0.22/0.40  tff(2,plain,
% 0.22/0.40      (![X: $i] : (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))) <=> ![X: $i] : (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X)))),
% 0.22/0.40      inference(quant_intro,[status(thm)],[1])).
% 0.22/0.40  tff(3,plain,
% 0.22/0.40      ((~?[X: $i] : ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))) <=> (~?[X: $i] : ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X)))),
% 0.22/0.40      inference(rewrite,[status(thm)],[])).
% 0.22/0.40  tff(4,plain,
% 0.22/0.40      ((~?[X: $i] : (mtvisible(c_currentworlddatacollectormt_nonhomocentric) => tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))) <=> (~?[X: $i] : ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X)))),
% 0.22/0.40      inference(rewrite,[status(thm)],[])).
% 0.22/0.40  tff(5,axiom,(~?[X: $i] : (mtvisible(c_currentworlddatacollectormt_nonhomocentric) => tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','query54')).
% 0.22/0.40  tff(6,plain,
% 0.22/0.40      (~?[X: $i] : ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))),
% 0.22/0.40      inference(modus_ponens,[status(thm)],[5, 4])).
% 0.22/0.40  tff(7,plain,
% 0.22/0.40      (~?[X: $i] : ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))),
% 0.22/0.40      inference(modus_ponens,[status(thm)],[6, 3])).
% 0.22/0.40  tff(8,plain,
% 0.22/0.40      (~?[X: $i] : ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))),
% 0.22/0.40      inference(modus_ponens,[status(thm)],[7, 3])).
% 0.22/0.40  tff(9,plain,
% 0.22/0.40      (~?[X: $i] : ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))),
% 0.22/0.40      inference(modus_ponens,[status(thm)],[8, 3])).
% 0.22/0.40  tff(10,plain,
% 0.22/0.40      (^[X: $i] : refl($oeq((~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))), (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X)))))),
% 0.22/0.40      inference(bind,[status(th)],[])).
% 0.22/0.40  tff(11,plain,(
% 0.22/0.40      ![X: $i] : (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X)))),
% 0.22/0.41      inference(nnf-neg,[status(sab)],[9, 10])).
% 0.22/0.41  tff(12,plain,
% 0.22/0.41      (![X: $i] : (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X)))),
% 0.22/0.41      inference(modus_ponens,[status(thm)],[11, 2])).
% 0.22/0.41  tff(13,plain,
% 0.22/0.41      ((~![X: $i] : (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X)))) | (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), elem!0)))),
% 0.22/0.41      inference(quant_inst,[status(thm)],[])).
% 0.22/0.41  tff(14,plain,
% 0.22/0.41      (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), elem!0))),
% 0.22/0.41      inference(unit_resolution,[status(thm)],[13, 12])).
% 0.22/0.41  tff(15,plain,
% 0.22/0.41      (((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), elem!0)) | mtvisible(c_currentworlddatacollectormt_nonhomocentric)),
% 0.22/0.41      inference(tautology,[status(thm)],[])).
% 0.22/0.41  tff(16,plain,
% 0.22/0.41      (mtvisible(c_currentworlddatacollectormt_nonhomocentric)),
% 0.22/0.41      inference(unit_resolution,[status(thm)],[15, 14])).
% 0.22/0.41  tff(17,plain,
% 0.22/0.41      (((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))) <=> ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170)))),
% 0.22/0.41      inference(rewrite,[status(thm)],[])).
% 0.22/0.41  tff(18,plain,
% 0.22/0.41      ((mtvisible(c_currentworlddatacollectormt_nonhomocentric) => tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))) <=> ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170)))),
% 0.22/0.41      inference(rewrite,[status(thm)],[])).
% 0.22/0.41  tff(19,axiom,(mtvisible(c_currentworlddatacollectormt_nonhomocentric) => tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','just1')).
% 0.22/0.41  tff(20,plain,
% 0.22/0.41      ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))),
% 0.22/0.41      inference(modus_ponens,[status(thm)],[19, 18])).
% 0.22/0.41  tff(21,plain,
% 0.22/0.41      ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))),
% 0.22/0.41      inference(modus_ponens,[status(thm)],[20, 17])).
% 0.22/0.41  tff(22,plain,
% 0.22/0.41      (tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))),
% 0.22/0.41      inference(unit_resolution,[status(thm)],[21, 16])).
% 0.22/0.41  tff(23,plain,
% 0.22/0.41      (((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))) | (~tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170)))),
% 0.22/0.41      inference(tautology,[status(thm)],[])).
% 0.22/0.41  tff(24,plain,
% 0.22/0.41      ((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))),
% 0.22/0.41      inference(unit_resolution,[status(thm)],[23, 22])).
% 0.22/0.41  tff(25,plain,
% 0.22/0.41      ((~![X: $i] : (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X)))) | (~((~mtvisible(c_currentworlddatacollectormt_nonhomocentric)) | tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))))),
% 0.22/0.41      inference(quant_inst,[status(thm)],[])).
% 0.22/0.41  tff(26,plain,
% 0.22/0.41      ($false),
% 0.22/0.41      inference(unit_resolution,[status(thm)],[25, 12, 24])).
% 0.22/0.41  % SZS output end Proof
% 0.22/0.41  % E exiting
%------------------------------------------------------------------------------