TSTP Solution File: CSR044+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 : Wed Aug 30 21:10:31 EDT 2023
% Result : Theorem 4.15s 4.31s
% Output : Proof 4.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n011.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 : Mon Aug 28 08:44:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.15/4.31 SZS status Theorem for theBenchmark.p
% 4.15/4.31 SZS output start Proof for theBenchmark.p
% 4.15/4.31 Clause #0 (by assumption #[]): Eq
% 4.15/4.31 (∀ (TERM INDEPCOL PRED DEPCOL : Iota),
% 4.15/4.31 And (isa TERM INDEPCOL) (relationallexists PRED INDEPCOL DEPCOL) →
% 4.15/4.31 isa (f_relationallexistsfn TERM PRED INDEPCOL DEPCOL) DEPCOL)
% 4.15/4.31 True
% 4.15/4.31 Clause #7 (by assumption #[]): Eq (genlmt c_tptp_spindleheadmt c_cyclistsmt) True
% 4.15/4.31 Clause #8 (by assumption #[]): Eq (genlmt c_tptp_member3633_mt c_tptp_spindleheadmt) True
% 4.15/4.31 Clause #9 (by assumption #[]): Eq
% 4.15/4.31 (∀ (TERM : Iota),
% 4.15/4.31 And (mtvisible c_cyclistsmt) (executionbyfiringsquad TERM) →
% 4.15/4.31 tptp_9_720 TERM (f_relationallexistsfn TERM c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490))
% 4.15/4.31 True
% 4.15/4.31 Clause #10 (by assumption #[]): Eq (mtvisible c_cyclistsmt → relationallexists c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490) True
% 4.15/4.31 Clause #11 (by assumption #[]): Eq (executionbyfiringsquad c_tptpexecutionbyfiringsquad_90) True
% 4.15/4.31 Clause #27 (by assumption #[]): Eq (∀ (X : Iota), isa X c_tptpcol_16_29490 → tptpcol_16_29490 X) True
% 4.15/4.31 Clause #30 (by assumption #[]): Eq (∀ (X : Iota), executionbyfiringsquad X → isa X c_executionbyfiringsquad) True
% 4.15/4.31 Clause #42 (by assumption #[]): Eq (∀ (SPECMT GENLMT : Iota), And (mtvisible SPECMT) (genlmt SPECMT GENLMT) → mtvisible GENLMT) True
% 4.15/4.31 Clause #45 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (genlmt X Y) (genlmt Y Z) → genlmt X Z) True
% 4.15/4.31 Clause #56 (by assumption #[]): Eq
% 4.15/4.31 (Not
% 4.15/4.31 (Exists fun X =>
% 4.15/4.31 mtvisible c_tptp_member3633_mt → And (tptp_9_720 c_tptpexecutionbyfiringsquad_90 X) (tptpcol_16_29490 X)))
% 4.15/4.31 True
% 4.15/4.31 Clause #57 (by clausification #[0]): ∀ (a : Iota),
% 4.15/4.31 Eq
% 4.15/4.31 (∀ (INDEPCOL PRED DEPCOL : Iota),
% 4.15/4.31 And (isa a INDEPCOL) (relationallexists PRED INDEPCOL DEPCOL) →
% 4.15/4.31 isa (f_relationallexistsfn a PRED INDEPCOL DEPCOL) DEPCOL)
% 4.15/4.31 True
% 4.15/4.31 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota),
% 4.15/4.31 Eq
% 4.15/4.31 (∀ (PRED DEPCOL : Iota),
% 4.15/4.31 And (isa a a_1) (relationallexists PRED a_1 DEPCOL) → isa (f_relationallexistsfn a PRED a_1 DEPCOL) DEPCOL)
% 4.15/4.31 True
% 4.15/4.31 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 4.15/4.31 Eq
% 4.15/4.31 (∀ (DEPCOL : Iota),
% 4.15/4.31 And (isa a a_1) (relationallexists a_2 a_1 DEPCOL) → isa (f_relationallexistsfn a a_2 a_1 DEPCOL) DEPCOL)
% 4.15/4.31 True
% 4.15/4.31 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.15/4.31 Eq (And (isa a a_1) (relationallexists a_2 a_1 a_3) → isa (f_relationallexistsfn a a_2 a_1 a_3) a_3) True
% 4.15/4.31 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.15/4.31 Or (Eq (And (isa a a_1) (relationallexists a_2 a_1 a_3)) False)
% 4.15/4.31 (Eq (isa (f_relationallexistsfn a a_2 a_1 a_3) a_3) True)
% 4.15/4.31 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.15/4.31 Or (Eq (isa (f_relationallexistsfn a a_1 a_2 a_3) a_3) True)
% 4.15/4.31 (Or (Eq (isa a a_2) False) (Eq (relationallexists a_1 a_2 a_3) False))
% 4.15/4.31 Clause #67 (by clausification #[27]): ∀ (a : Iota), Eq (isa a c_tptpcol_16_29490 → tptpcol_16_29490 a) True
% 4.15/4.31 Clause #68 (by clausification #[67]): ∀ (a : Iota), Or (Eq (isa a c_tptpcol_16_29490) False) (Eq (tptpcol_16_29490 a) True)
% 4.15/4.31 Clause #75 (by clausification #[9]): ∀ (a : Iota),
% 4.15/4.31 Eq
% 4.15/4.31 (And (mtvisible c_cyclistsmt) (executionbyfiringsquad a) →
% 4.15/4.31 tptp_9_720 a (f_relationallexistsfn a c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490))
% 4.15/4.31 True
% 4.15/4.31 Clause #76 (by clausification #[75]): ∀ (a : Iota),
% 4.15/4.31 Or (Eq (And (mtvisible c_cyclistsmt) (executionbyfiringsquad a)) False)
% 4.15/4.31 (Eq (tptp_9_720 a (f_relationallexistsfn a c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490)) True)
% 4.15/4.31 Clause #77 (by clausification #[76]): ∀ (a : Iota),
% 4.15/4.31 Or (Eq (tptp_9_720 a (f_relationallexistsfn a c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490)) True)
% 4.15/4.31 (Or (Eq (mtvisible c_cyclistsmt) False) (Eq (executionbyfiringsquad a) False))
% 4.15/4.31 Clause #86 (by clausification #[30]): ∀ (a : Iota), Eq (executionbyfiringsquad a → isa a c_executionbyfiringsquad) True
% 4.15/4.31 Clause #87 (by clausification #[86]): ∀ (a : Iota), Or (Eq (executionbyfiringsquad a) False) (Eq (isa a c_executionbyfiringsquad) True)
% 4.15/4.31 Clause #88 (by superposition #[87, 11]): Or (Eq (isa c_tptpexecutionbyfiringsquad_90 c_executionbyfiringsquad) True) (Eq False True)
% 4.15/4.33 Clause #89 (by clausification #[10]): Or (Eq (mtvisible c_cyclistsmt) False)
% 4.15/4.33 (Eq (relationallexists c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490) True)
% 4.15/4.33 Clause #90 (by clausification #[88]): Eq (isa c_tptpexecutionbyfiringsquad_90 c_executionbyfiringsquad) True
% 4.15/4.33 Clause #92 (by superposition #[90, 62]): ∀ (a a_1 : Iota),
% 4.15/4.33 Or (Eq (isa (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 a c_executionbyfiringsquad a_1) a_1) True)
% 4.15/4.33 (Or (Eq True False) (Eq (relationallexists a c_executionbyfiringsquad a_1) False))
% 4.15/4.33 Clause #175 (by clausification #[42]): ∀ (a : Iota), Eq (∀ (GENLMT : Iota), And (mtvisible a) (genlmt a GENLMT) → mtvisible GENLMT) True
% 4.15/4.33 Clause #176 (by clausification #[175]): ∀ (a a_1 : Iota), Eq (And (mtvisible a) (genlmt a a_1) → mtvisible a_1) True
% 4.15/4.33 Clause #177 (by clausification #[176]): ∀ (a a_1 : Iota), Or (Eq (And (mtvisible a) (genlmt a a_1)) False) (Eq (mtvisible a_1) True)
% 4.15/4.33 Clause #178 (by clausification #[177]): ∀ (a a_1 : Iota), Or (Eq (mtvisible a) True) (Or (Eq (mtvisible a_1) False) (Eq (genlmt a_1 a) False))
% 4.15/4.33 Clause #232 (by clausification #[45]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (genlmt a Y) (genlmt Y Z) → genlmt a Z) True
% 4.15/4.33 Clause #233 (by clausification #[232]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (genlmt a a_1) (genlmt a_1 Z) → genlmt a Z) True
% 4.15/4.33 Clause #234 (by clausification #[233]): ∀ (a a_1 a_2 : Iota), Eq (And (genlmt a a_1) (genlmt a_1 a_2) → genlmt a a_2) True
% 4.15/4.33 Clause #235 (by clausification #[234]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (genlmt a a_1) (genlmt a_1 a_2)) False) (Eq (genlmt a a_2) True)
% 4.15/4.33 Clause #236 (by clausification #[235]): ∀ (a a_1 a_2 : Iota), Or (Eq (genlmt a a_1) True) (Or (Eq (genlmt a a_2) False) (Eq (genlmt a_2 a_1) False))
% 4.15/4.33 Clause #240 (by superposition #[236, 8]): ∀ (a : Iota),
% 4.15/4.33 Or (Eq (genlmt c_tptp_member3633_mt a) True) (Or (Eq (genlmt c_tptp_spindleheadmt a) False) (Eq False True))
% 4.15/4.33 Clause #306 (by clausification #[240]): ∀ (a : Iota), Or (Eq (genlmt c_tptp_member3633_mt a) True) (Eq (genlmt c_tptp_spindleheadmt a) False)
% 4.15/4.33 Clause #307 (by superposition #[306, 7]): Or (Eq (genlmt c_tptp_member3633_mt c_cyclistsmt) True) (Eq False True)
% 4.15/4.33 Clause #309 (by clausification #[307]): Eq (genlmt c_tptp_member3633_mt c_cyclistsmt) True
% 4.15/4.33 Clause #340 (by clausification #[56]): Eq
% 4.15/4.33 (Exists fun X =>
% 4.15/4.33 mtvisible c_tptp_member3633_mt → And (tptp_9_720 c_tptpexecutionbyfiringsquad_90 X) (tptpcol_16_29490 X))
% 4.15/4.33 False
% 4.15/4.33 Clause #341 (by clausification #[340]): ∀ (a : Iota),
% 4.15/4.33 Eq (mtvisible c_tptp_member3633_mt → And (tptp_9_720 c_tptpexecutionbyfiringsquad_90 a) (tptpcol_16_29490 a)) False
% 4.15/4.33 Clause #342 (by clausification #[341]): Eq (mtvisible c_tptp_member3633_mt) True
% 4.15/4.33 Clause #343 (by clausification #[341]): ∀ (a : Iota), Eq (And (tptp_9_720 c_tptpexecutionbyfiringsquad_90 a) (tptpcol_16_29490 a)) False
% 4.15/4.33 Clause #344 (by superposition #[342, 178]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Or (Eq True False) (Eq (genlmt c_tptp_member3633_mt a) False))
% 4.15/4.33 Clause #351 (by clausification #[343]): ∀ (a : Iota), Or (Eq (tptp_9_720 c_tptpexecutionbyfiringsquad_90 a) False) (Eq (tptpcol_16_29490 a) False)
% 4.15/4.33 Clause #352 (by clausification #[344]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Eq (genlmt c_tptp_member3633_mt a) False)
% 4.15/4.33 Clause #355 (by superposition #[352, 309]): Or (Eq (mtvisible c_cyclistsmt) True) (Eq False True)
% 4.15/4.33 Clause #362 (by clausification #[355]): Eq (mtvisible c_cyclistsmt) True
% 4.15/4.33 Clause #363 (by backward demodulation #[362, 77]): ∀ (a : Iota),
% 4.15/4.33 Or (Eq (tptp_9_720 a (f_relationallexistsfn a c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490)) True)
% 4.15/4.33 (Or (Eq True False) (Eq (executionbyfiringsquad a) False))
% 4.15/4.33 Clause #364 (by backward demodulation #[362, 89]): Or (Eq True False) (Eq (relationallexists c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490) True)
% 4.15/4.33 Clause #366 (by clausification #[92]): ∀ (a a_1 : Iota),
% 4.15/4.33 Or (Eq (isa (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 a c_executionbyfiringsquad a_1) a_1) True)
% 4.15/4.33 (Eq (relationallexists a c_executionbyfiringsquad a_1) False)
% 4.15/4.33 Clause #369 (by clausification #[364]): Eq (relationallexists c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490) True
% 4.15/4.33 Clause #370 (by superposition #[369, 366]): Or
% 4.15/4.33 (Eq
% 4.15/4.33 (isa
% 4.15/4.33 (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490)
% 4.15/4.33 c_tptpcol_16_29490)
% 4.15/4.33 True)
% 4.15/4.33 (Eq True False)
% 4.15/4.33 Clause #399 (by clausification #[370]): Eq
% 4.15/4.33 (isa (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490)
% 4.15/4.33 c_tptpcol_16_29490)
% 4.15/4.33 True
% 4.15/4.33 Clause #400 (by superposition #[399, 68]): Or (Eq True False)
% 4.15/4.33 (Eq
% 4.15/4.33 (tptpcol_16_29490
% 4.15/4.33 (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490))
% 4.15/4.33 True)
% 4.15/4.33 Clause #406 (by clausification #[400]): Eq
% 4.15/4.33 (tptpcol_16_29490
% 4.15/4.33 (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490))
% 4.15/4.33 True
% 4.15/4.33 Clause #419 (by clausification #[363]): ∀ (a : Iota),
% 4.15/4.33 Or (Eq (tptp_9_720 a (f_relationallexistsfn a c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490)) True)
% 4.15/4.33 (Eq (executionbyfiringsquad a) False)
% 4.15/4.33 Clause #420 (by superposition #[419, 11]): Or
% 4.15/4.33 (Eq
% 4.15/4.33 (tptp_9_720 c_tptpexecutionbyfiringsquad_90
% 4.15/4.33 (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490))
% 4.15/4.33 True)
% 4.15/4.33 (Eq False True)
% 4.15/4.33 Clause #421 (by clausification #[420]): Eq
% 4.15/4.33 (tptp_9_720 c_tptpexecutionbyfiringsquad_90
% 4.15/4.33 (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490))
% 4.15/4.33 True
% 4.15/4.33 Clause #422 (by superposition #[421, 351]): Or (Eq True False)
% 4.15/4.33 (Eq
% 4.15/4.33 (tptpcol_16_29490
% 4.15/4.33 (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490))
% 4.15/4.33 False)
% 4.15/4.33 Clause #425 (by clausification #[422]): Eq
% 4.15/4.33 (tptpcol_16_29490
% 4.15/4.33 (f_relationallexistsfn c_tptpexecutionbyfiringsquad_90 c_tptp_9_720 c_executionbyfiringsquad c_tptpcol_16_29490))
% 4.15/4.33 False
% 4.15/4.33 Clause #426 (by superposition #[425, 406]): Eq False True
% 4.15/4.33 Clause #428 (by clausification #[426]): False
% 4.15/4.33 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------