%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:41:08 AM UTC 2026
% Result : Theorem 128.33s 16.39s
% Output : Proof 129.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 22:24:03 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 128.33/16.39 Command-line arguments: --flatten-regeneralise
% 128.33/16.39
% 128.33/16.39 % SZS status Theorem
% 128.33/16.39
% 128.33/16.39 % SZS output start Proof
% 128.33/16.39 Axiom 1 (query120): mtvisible(c_tptp_spindlecollectormt) = true.
% 128.33/16.39 Axiom 2 (ax1_350): genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = true.
% 128.33/16.39 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 128.33/16.39 Axiom 4 (ax1_139): ifeq(tptptypes_7_819(X, Y), true, tptptypes_6_818(X, Y), true) = true.
% 128.33/16.39 Axiom 5 (ax1_416): ifeq(tptptypes_6_818(X, Y), true, tptptypes_5_802(X, Y), true) = true.
% 128.33/16.39 Axiom 6 (ax1_427): ifeq(tptptypes_9_824(X, Y), true, tptptypes_8_823(X, Y), true) = true.
% 128.33/16.39 Axiom 7 (ax1_271): ifeq(tptptypes_8_823(X, Y), true, tptptypes_7_819(X, Y), true) = true.
% 128.33/16.39 Axiom 8 (ax1_178): ifeq(mtvisible(c_tptp_member2668_mt), true, tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true) = true.
% 128.33/16.39 Axiom 9 (ax1_1123): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 128.33/16.39
% 128.33/16.39 Goal 1 (query120_1): tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886) = true.
% 128.33/16.39 Proof:
% 128.33/16.39 tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 128.33/16.39 = { by axiom 3 (ifeq_axiom) R->L }
% 128.33/16.39 ifeq(true, true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.39 = { by axiom 4 (ax1_139) R->L }
% 128.33/16.39 ifeq(ifeq(tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.39 = { by axiom 3 (ifeq_axiom) R->L }
% 128.33/16.40 ifeq(ifeq(ifeq(true, true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 6 (ax1_427) R->L }
% 128.33/16.40 ifeq(ifeq(ifeq(ifeq(tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true, tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 3 (ifeq_axiom) R->L }
% 128.33/16.40 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 9 (ax1_1123) R->L }
% 128.33/16.40 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt), true, mtvisible(c_tptp_member2668_mt), true), true), true, tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 2 (ax1_350) }
% 128.33/16.40 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(true, true, mtvisible(c_tptp_member2668_mt), true), true), true, tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 1 (query120) }
% 128.33/16.40 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_member2668_mt), true), true), true, tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 3 (ifeq_axiom) }
% 128.33/16.40 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_member2668_mt), true), true, tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 3 (ifeq_axiom) }
% 128.33/16.40 ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member2668_mt), true, tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 8 (ax1_178) }
% 128.33/16.40 ifeq(ifeq(ifeq(ifeq(true, true, tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 3 (ifeq_axiom) }
% 128.33/16.40 ifeq(ifeq(ifeq(tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true, tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 128.33/16.40 = { by axiom 7 (ax1_271) }
% 128.33/16.40 ifeq(ifeq(true, true, tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 129.13/16.40 = { by axiom 3 (ifeq_axiom) }
% 129.13/16.40 ifeq(tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 129.13/16.40 = { by axiom 5 (ax1_416) }
% 129.13/16.40 true
% 129.13/16.40 % SZS output end Proof
% 129.13/16.40
% 129.13/16.40 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------