%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 0.86s 0.47s
% Output : Proof 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.23 % Computer : n008.cluster.edu
% 0.08/0.23 % Model : x86_64 x86_64
% 0.08/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23 % Memory : 8046.5625MB
% 0.08/0.23 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Mon Sep 28 22:25:09 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/0.47 Command-line arguments: --no-flatten-goal
% 0.86/0.47
% 0.86/0.47 % SZS status Theorem
% 0.86/0.47
% 0.86/0.47 % SZS output start Proof
% 0.86/0.47 Axiom 1 (query70): mtvisible(c_tptp_spindlecollectormt) = true.
% 0.86/0.47 Axiom 2 (just16): genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = true.
% 0.86/0.47 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.86/0.47 Axiom 4 (just8): ifeq(tptptypes_6_818(X, Y), true, tptptypes_5_802(X, Y), true) = true.
% 0.86/0.47 Axiom 5 (just10): ifeq(tptptypes_7_819(X, Y), true, tptptypes_6_818(X, Y), true) = true.
% 0.86/0.47 Axiom 6 (just12): ifeq(tptptypes_8_823(X, Y), true, tptptypes_7_819(X, Y), true) = true.
% 0.86/0.47 Axiom 7 (just14): ifeq(tptptypes_9_824(X, Y), true, tptptypes_8_823(X, Y), true) = true.
% 0.86/0.47 Axiom 8 (just19): ifeq(mtvisible(c_tptp_member2668_mt), true, tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true) = true.
% 0.86/0.48 Axiom 9 (just57): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 0.86/0.48
% 0.86/0.48 Goal 1 (query70_1): tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886) = true.
% 0.86/0.48 Proof:
% 0.86/0.48 tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.86/0.48 = { by axiom 3 (ifeq_axiom) R->L }
% 0.86/0.48 ifeq(true, true, tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true)
% 0.86/0.48 = { by axiom 5 (just10) R->L }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 3 (ifeq_axiom) R->L }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 7 (just14) R->L }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 3 (ifeq_axiom) R->L }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 9 (just57) R->L }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 2 (just16) }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 1 (query70) }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 3 (ifeq_axiom) }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 3 (ifeq_axiom) }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 8 (just19) }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 3 (ifeq_axiom) }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 6 (just12) }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 3 (ifeq_axiom) }
% 0.86/0.48 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)
% 0.86/0.48 = { by axiom 4 (just8) }
% 0.86/0.48 true
% 0.86/0.48 % SZS output end Proof
% 0.86/0.48
% 0.86/0.48 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------