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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : CSR070+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n026.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 : Fri Oct  3 07:46:21 PM UTC 2025

% Result   : Theorem 4.82s 4.98s
% Output   : Proof 4.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : CSR070+1 : TPTP v9.2.0. Released v3.4.0.
% 0.14/0.14  % Command    : duper %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Thu Oct  2 19:34:53 EDT 2025
% 0.15/0.36  % CPUTime    : 
% 4.82/4.98  SZS status Theorem for theBenchmark.p
% 4.82/4.98  SZS output start Proof for theBenchmark.p
% 4.82/4.98  Clause #7 (by assumption #[]): Eq (∀ (ARG1 ARG2 : Iota), tptptypes_6_818 ARG1 ARG2 → tptptypes_5_802 ARG1 ARG2) True
% 4.82/4.98  Clause #9 (by assumption #[]): Eq (∀ (ARG1 ARG2 : Iota), tptptypes_7_819 ARG1 ARG2 → tptptypes_6_818 ARG1 ARG2) True
% 4.82/4.98  Clause #11 (by assumption #[]): Eq (∀ (ARG1 ARG2 : Iota), tptptypes_8_823 ARG1 ARG2 → tptptypes_7_819 ARG1 ARG2) True
% 4.82/4.98  Clause #13 (by assumption #[]): Eq (∀ (ARG1 ARG2 : Iota), tptptypes_9_824 ARG1 ARG2 → tptptypes_8_823 ARG1 ARG2) True
% 4.82/4.98  Clause #15 (by assumption #[]): Eq (genlmt c_tptp_spindlecollectormt c_tptp_member2668_mt) True
% 4.82/4.98  Clause #18 (by assumption #[]): Eq
% 4.82/4.98    (mtvisible c_tptp_member2668_mt →
% 4.82/4.98      tptptypes_9_824 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.98        c_tptpcol_16_8886)
% 4.82/4.98    True
% 4.82/4.98  Clause #56 (by assumption #[]): Eq (∀ (SPECMT GENLMT : Iota), And (mtvisible SPECMT) (genlmt SPECMT GENLMT) → mtvisible GENLMT) True
% 4.82/4.98  Clause #71 (by assumption #[]): Eq
% 4.82/4.98    (Not
% 4.82/4.98      (mtvisible c_tptp_spindlecollectormt →
% 4.82/4.98        tptptypes_5_802 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.98          c_tptpcol_16_8886))
% 4.82/4.98    True
% 4.82/4.98  Clause #74 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (ARG2 : Iota), tptptypes_6_818 a ARG2 → tptptypes_5_802 a ARG2) True
% 4.82/4.98  Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota), Eq (tptptypes_6_818 a a_1 → tptptypes_5_802 a a_1) True
% 4.82/4.98  Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Or (Eq (tptptypes_6_818 a a_1) False) (Eq (tptptypes_5_802 a a_1) True)
% 4.82/4.98  Clause #87 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (ARG2 : Iota), tptptypes_7_819 a ARG2 → tptptypes_6_818 a ARG2) True
% 4.82/4.98  Clause #88 (by clausification #[87]): ∀ (a a_1 : Iota), Eq (tptptypes_7_819 a a_1 → tptptypes_6_818 a a_1) True
% 4.82/4.98  Clause #89 (by clausification #[88]): ∀ (a a_1 : Iota), Or (Eq (tptptypes_7_819 a a_1) False) (Eq (tptptypes_6_818 a a_1) True)
% 4.82/4.98  Clause #101 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (ARG2 : Iota), tptptypes_8_823 a ARG2 → tptptypes_7_819 a ARG2) True
% 4.82/4.98  Clause #102 (by clausification #[101]): ∀ (a a_1 : Iota), Eq (tptptypes_8_823 a a_1 → tptptypes_7_819 a a_1) True
% 4.82/4.98  Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota), Or (Eq (tptptypes_8_823 a a_1) False) (Eq (tptptypes_7_819 a a_1) True)
% 4.82/4.98  Clause #112 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (ARG2 : Iota), tptptypes_9_824 a ARG2 → tptptypes_8_823 a ARG2) True
% 4.82/4.98  Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (tptptypes_9_824 a a_1 → tptptypes_8_823 a a_1) True
% 4.82/4.98  Clause #114 (by clausification #[113]): ∀ (a a_1 : Iota), Or (Eq (tptptypes_9_824 a a_1) False) (Eq (tptptypes_8_823 a a_1) True)
% 4.82/4.98  Clause #131 (by clausification #[18]): Or (Eq (mtvisible c_tptp_member2668_mt) False)
% 4.82/4.98    (Eq
% 4.82/4.98      (tptptypes_9_824 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.98        c_tptpcol_16_8886)
% 4.82/4.98      True)
% 4.82/4.98  Clause #227 (by clausification #[56]): ∀ (a : Iota), Eq (∀ (GENLMT : Iota), And (mtvisible a) (genlmt a GENLMT) → mtvisible GENLMT) True
% 4.82/4.98  Clause #228 (by clausification #[227]): ∀ (a a_1 : Iota), Eq (And (mtvisible a) (genlmt a a_1) → mtvisible a_1) True
% 4.82/4.98  Clause #229 (by clausification #[228]): ∀ (a a_1 : Iota), Or (Eq (And (mtvisible a) (genlmt a a_1)) False) (Eq (mtvisible a_1) True)
% 4.82/4.98  Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota), Or (Eq (mtvisible a) True) (Or (Eq (mtvisible a_1) False) (Eq (genlmt a_1 a) False))
% 4.82/4.98  Clause #344 (by clausification #[71]): Eq
% 4.82/4.98    (mtvisible c_tptp_spindlecollectormt →
% 4.82/4.98      tptptypes_5_802 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.98        c_tptpcol_16_8886)
% 4.82/4.98    False
% 4.82/4.98  Clause #345 (by clausification #[344]): Eq (mtvisible c_tptp_spindlecollectormt) True
% 4.82/4.98  Clause #346 (by clausification #[344]): Eq
% 4.82/4.98    (tptptypes_5_802 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.98      c_tptpcol_16_8886)
% 4.82/4.98    False
% 4.82/4.98  Clause #347 (by superposition #[345, 230]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Or (Eq True False) (Eq (genlmt c_tptp_spindlecollectormt a) False))
% 4.82/4.99  Clause #348 (by clausification #[347]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Eq (genlmt c_tptp_spindlecollectormt a) False)
% 4.82/4.99  Clause #350 (by superposition #[348, 15]): Or (Eq (mtvisible c_tptp_member2668_mt) True) (Eq False True)
% 4.82/4.99  Clause #355 (by clausification #[350]): Eq (mtvisible c_tptp_member2668_mt) True
% 4.82/4.99  Clause #356 (by backward demodulation #[355, 131]): Or (Eq True False)
% 4.82/4.99    (Eq
% 4.82/4.99      (tptptypes_9_824 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99        c_tptpcol_16_8886)
% 4.82/4.99      True)
% 4.82/4.99  Clause #367 (by clausification #[356]): Eq
% 4.82/4.99    (tptptypes_9_824 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99      c_tptpcol_16_8886)
% 4.82/4.99    True
% 4.82/4.99  Clause #368 (by superposition #[367, 114]): Or (Eq True False)
% 4.82/4.99    (Eq
% 4.82/4.99      (tptptypes_8_823 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99        c_tptpcol_16_8886)
% 4.82/4.99      True)
% 4.82/4.99  Clause #376 (by clausification #[368]): Eq
% 4.82/4.99    (tptptypes_8_823 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99      c_tptpcol_16_8886)
% 4.82/4.99    True
% 4.82/4.99  Clause #377 (by superposition #[376, 103]): Or (Eq True False)
% 4.82/4.99    (Eq
% 4.82/4.99      (tptptypes_7_819 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99        c_tptpcol_16_8886)
% 4.82/4.99      True)
% 4.82/4.99  Clause #378 (by clausification #[377]): Eq
% 4.82/4.99    (tptptypes_7_819 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99      c_tptpcol_16_8886)
% 4.82/4.99    True
% 4.82/4.99  Clause #379 (by superposition #[378, 89]): Or (Eq True False)
% 4.82/4.99    (Eq
% 4.82/4.99      (tptptypes_6_818 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99        c_tptpcol_16_8886)
% 4.82/4.99      True)
% 4.82/4.99  Clause #380 (by clausification #[379]): Eq
% 4.82/4.99    (tptptypes_6_818 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99      c_tptpcol_16_8886)
% 4.82/4.99    True
% 4.82/4.99  Clause #381 (by superposition #[380, 76]): Or (Eq True False)
% 4.82/4.99    (Eq
% 4.82/4.99      (tptptypes_5_802 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99        c_tptpcol_16_8886)
% 4.82/4.99      True)
% 4.82/4.99  Clause #382 (by clausification #[381]): Eq
% 4.82/4.99    (tptptypes_5_802 (f_subcollectionofwithrelationfromtypefn c_orientationvector c_orientation c_partiallytangible)
% 4.82/4.99      c_tptpcol_16_8886)
% 4.82/4.99    True
% 4.82/4.99  Clause #383 (by superposition #[382, 346]): Eq True False
% 4.82/4.99  Clause #384 (by clausification #[383]): False
% 4.82/4.99  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------