%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR064+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 09:41:05 AM UTC 2026
% Result : Theorem 55.06s 7.34s
% Output : Proof 55.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR064+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.27 % Computer : n003.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.28 % DateTime : Mon Sep 28 22:23:57 UTC 2026
% 0.11/0.28 % CPUTime :
% 0.11/0.28 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.06/7.34 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 55.06/7.34
% 55.06/7.34 % SZS status Theorem
% 55.06/7.34
% 55.06/7.35 % SZS output start Proof
% 55.06/7.35 Axiom 1 (ax1_428): individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) = true.
% 55.06/7.35 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 55.06/7.35 Axiom 3 (query114): genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)), c_tptpcol_15_74743) = true.
% 55.06/7.35 Axiom 4 (ax1_229): ifeq(genls(X, Y), true, collection(X), true) = true.
% 55.06/7.35
% 55.06/7.35 Goal 1 (ax1_289): tuple2(individual(X), collection(X)) = tuple2(true, true).
% 55.06/7.35 The goal is true when:
% 55.06/7.35 X = f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))
% 55.06/7.35
% 55.06/7.35 Proof:
% 55.06/7.35 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))))
% 55.06/7.35 = { by axiom 2 (ifeq_axiom) R->L }
% 55.06/7.35 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), ifeq(true, true, collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), true))
% 55.06/7.35 = { by axiom 3 (query114) R->L }
% 55.06/7.35 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), ifeq(genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)), c_tptpcol_15_74743), true, collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), true))
% 55.06/7.35 = { by axiom 4 (ax1_229) }
% 55.06/7.35 tuple2(individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))), true)
% 55.06/7.35 = { by axiom 1 (ax1_428) }
% 55.06/7.35 tuple2(true, true)
% 55.06/7.35 % SZS output end Proof
% 55.06/7.35
% 55.06/7.35 RESULT: Theorem (the conjecture is true).
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