%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR064+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 09:41:04 AM UTC 2026
% Result : Theorem 0.24s 0.40s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR064+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.21 % Computer : n009.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 22:22:14 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.40 Command-line arguments: --no-flatten-goal
% 0.24/0.40
% 0.24/0.40 % SZS status Theorem
% 0.24/0.40
% 0.24/0.40 % SZS output start Proof
% 0.24/0.40 Axiom 1 (just3): individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) = true.
% 0.24/0.40 Axiom 2 (query64): genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)), c_tptpcol_15_74743) = true.
% 0.24/0.40 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.24/0.40 Axiom 4 (just41): ifeq(subsetof(X, Y), true, setorcollection(X), true) = true.
% 0.24/0.40 Axiom 5 (just10): ifeq(genls(X, Y), true, subsetof(X, Y), true) = true.
% 0.24/0.40
% 0.24/0.40 Goal 1 (just2): tuple2(individual(X), setorcollection(X)) = tuple2(true, true).
% 0.24/0.40 The goal is true when:
% 0.24/0.40 X = f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))
% 0.24/0.40
% 0.24/0.40 Proof:
% 0.24/0.40 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))))
% 0.24/0.40 = { by axiom 3 (ifeq_axiom) R->L }
% 0.24/0.40 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), ifeq(true, true, setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), true))
% 0.24/0.40 = { by axiom 5 (just10) R->L }
% 0.24/0.40 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), ifeq(ifeq(genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)), c_tptpcol_15_74743), true, subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)), c_tptpcol_15_74743), true), true, setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), true))
% 0.24/0.40 = { by axiom 2 (query64) }
% 0.24/0.40 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), ifeq(ifeq(true, true, subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)), c_tptpcol_15_74743), true), true, setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), true))
% 0.24/0.40 = { by axiom 3 (ifeq_axiom) }
% 0.24/0.40 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), ifeq(subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)), c_tptpcol_15_74743), true, setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), true))
% 0.24/0.40 = { by axiom 4 (just41) }
% 0.24/0.40 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), true)
% 0.24/0.40 = { by axiom 1 (just3) }
% 0.24/0.40 tuple2(true, true)
% 0.24/0.40 % SZS output end Proof
% 0.24/0.40
% 0.24/0.40 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------