%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR038+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 09:40:51 AM UTC 2026
% Result : Theorem 0.47s 0.31s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR038+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n018.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 22:16:25 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.31 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 0.47/0.31
% 0.47/0.31 % SZS status Theorem
% 0.47/0.31
% 0.47/0.31 % SZS output start Proof
% 0.47/0.31 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.47/0.31 Axiom 2 (just8): isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)) = true.
% 0.47/0.31 Axiom 3 (just7): relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)) = true.
% 0.47/0.31 Axiom 4 (just41): ifeq(isa(X, c_tptpcol_16_7738), true, tptpcol_16_7738(X), true) = true.
% 0.47/0.31 Axiom 5 (just6): ifeq(isa(X, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), true, tptp_8_968(f_relationexistsallfn(X, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), X), true) = true.
% 0.47/0.31 Axiom 6 (just1): ifeq(relationexistsall(X, Y, Z), true, ifeq(isa(W, Z), true, isa(f_relationexistsallfn(W, X, Y, Z), Y), true), true) = true.
% 0.47/0.31
% 0.47/0.31 Goal 1 (query38_1): tuple2(tptp_8_968(X, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), tptpcol_16_7738(X)) = tuple2(true, true).
% 0.47/0.31 The goal is true when:
% 0.47/0.31 X = f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription))
% 0.47/0.31
% 0.47/0.31 Proof:
% 0.47/0.31 tuple2(tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription))))
% 0.47/0.31 = { by axiom 1 (ifeq_axiom) R->L }
% 0.47/0.31 tuple2(tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), ifeq(true, true, tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription))), true))
% 0.47/0.31 = { by axiom 6 (just1) R->L }
% 0.47/0.31 tuple2(tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), ifeq(ifeq(relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), true, ifeq(isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), true, isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpcol_16_7738), true), true), true, tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription))), true))
% 0.47/0.31 = { by axiom 3 (just7) }
% 0.47/0.31 tuple2(tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), ifeq(ifeq(true, true, ifeq(isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), true, isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpcol_16_7738), true), true), true, tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription))), true))
% 0.47/0.31 = { by axiom 1 (ifeq_axiom) }
% 0.47/0.31 tuple2(tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), ifeq(ifeq(isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), true, isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpcol_16_7738), true), true, tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription))), true))
% 0.47/0.31 = { by axiom 2 (just8) }
% 0.47/0.31 tuple2(tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), ifeq(ifeq(true, true, isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpcol_16_7738), true), true, tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription))), true))
% 0.47/0.31 = { by axiom 1 (ifeq_axiom) }
% 0.47/0.31 tuple2(tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), ifeq(isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpcol_16_7738), true, tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription))), true))
% 0.47/0.31 = { by axiom 4 (just41) }
% 0.47/0.31 tuple2(tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), true)
% 0.47/0.31 = { by axiom 1 (ifeq_axiom) R->L }
% 0.47/0.31 tuple2(ifeq(true, true, tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), true), true)
% 0.47/0.31 = { by axiom 2 (just8) R->L }
% 0.47/0.31 tuple2(ifeq(isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), true, tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription)), c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804), true), true)
% 0.47/0.31 = { by axiom 5 (just6) }
% 0.47/0.31 tuple2(true, true)
% 0.47/0.31 % SZS output end Proof
% 0.47/0.31
% 0.47/0.31 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------