%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR052+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 09:40:58 AM UTC 2026
% Result : Theorem 1.35s 0.55s
% Output : Proof 2.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR052+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.20 % Computer : n009.cluster.edu
% 0.12/0.20 % Model : x86_64 x86_64
% 0.12/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.20 % Memory : 8046.5625MB
% 0.12/0.20 % OS : Linux 6.8.0-71-generic
% 0.12/0.20 % CPULimit : 300
% 0.12/0.20 % WCLimit : 300
% 0.12/0.20 % DateTime : Mon Sep 28 22:18:14 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.35/0.55 Command-line arguments: --flatten-regeneralise
% 1.35/0.55
% 1.35/0.55 % SZS status Theorem
% 1.35/0.55
% 2.30/0.56 % SZS output start Proof
% 2.30/0.56 Axiom 1 (just8): genls(c_tptpcol_8_39940, c_tptpcol_7_39939) = true.
% 2.30/0.56 Axiom 2 (just10): genls(c_tptpcol_9_40196, c_tptpcol_8_39940) = true.
% 2.30/0.56 Axiom 3 (just12): genls(c_tptpcol_10_40324, c_tptpcol_9_40196) = true.
% 2.30/0.56 Axiom 4 (just14): genls(c_tptpcol_11_40388, c_tptpcol_10_40324) = true.
% 2.30/0.56 Axiom 5 (just16): genls(c_tptpcol_12_40420, c_tptpcol_11_40388) = true.
% 2.30/0.56 Axiom 6 (just18): genls(c_tptpcol_13_40421, c_tptpcol_12_40420) = true.
% 2.30/0.56 Axiom 7 (just20): genls(c_tptpcol_14_40429, c_tptpcol_13_40421) = true.
% 2.30/0.56 Axiom 8 (just22): genls(c_tptpcol_15_40430, c_tptpcol_14_40429) = true.
% 2.30/0.56 Axiom 9 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 2.30/0.57 Axiom 10 (just88): ifeq(genls(X, Y), true, ifeq(genls(Y, Z), true, genls(X, Z), true), true) = true.
% 2.30/0.57
% 2.30/0.57 Goal 1 (query52_1): genls(c_tptpcol_15_40430, c_tptpcol_7_39939) = true.
% 2.30/0.57 Proof:
% 2.30/0.57 genls(c_tptpcol_15_40430, c_tptpcol_7_39939)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) R->L }
% 2.30/0.57 ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 10 (just88) R->L }
% 2.30/0.57 ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true, ifeq(genls(c_tptpcol_9_40196, c_tptpcol_8_39940), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 2 (just10) }
% 2.30/0.57 ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true, ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) }
% 2.30/0.57 ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) R->L }
% 2.30/0.57 ifeq(ifeq(ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 10 (just88) R->L }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true, ifeq(genls(c_tptpcol_11_40388, c_tptpcol_10_40324), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 4 (just14) }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true, ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) R->L }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 10 (just88) R->L }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_13_40421), true, ifeq(genls(c_tptpcol_13_40421, c_tptpcol_12_40420), true, genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 6 (just18) }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_13_40421), true, ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_13_40421), true, genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) R->L }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_13_40421), true), true, genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 8 (just22) R->L }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_14_40429), true, genls(c_tptpcol_15_40430, c_tptpcol_13_40421), true), true, genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) R->L }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_14_40429), true, ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_13_40421), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 7 (just20) R->L }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_14_40429), true, ifeq(genls(c_tptpcol_14_40429, c_tptpcol_13_40421), true, genls(c_tptpcol_15_40430, c_tptpcol_13_40421), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 10 (just88) }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.57 = { by axiom 9 (ifeq_axiom) R->L }
% 2.30/0.57 ifeq(ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true, ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.58 = { by axiom 5 (just16) R->L }
% 2.30/0.58 ifeq(ifeq(ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true, ifeq(genls(c_tptpcol_12_40420, c_tptpcol_11_40388), true, genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.58 = { by axiom 10 (just88) }
% 2.30/0.58 ifeq(ifeq(ifeq(ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.58 = { by axiom 9 (ifeq_axiom) }
% 2.30/0.58 ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.58 = { by axiom 9 (ifeq_axiom) R->L }
% 2.30/0.58 ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true, ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.58 = { by axiom 3 (just12) R->L }
% 2.30/0.58 ifeq(ifeq(ifeq(genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true, ifeq(genls(c_tptpcol_10_40324, c_tptpcol_9_40196), true, genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true), true), true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.58 = { by axiom 10 (just88) }
% 2.30/0.58 ifeq(ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.58 = { by axiom 9 (ifeq_axiom) }
% 2.30/0.58 ifeq(genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true)
% 2.30/0.58 = { by axiom 9 (ifeq_axiom) R->L }
% 2.30/0.58 ifeq(genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true, ifeq(true, true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true), true)
% 2.30/0.58 = { by axiom 1 (just8) R->L }
% 2.30/0.58 ifeq(genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true, ifeq(genls(c_tptpcol_8_39940, c_tptpcol_7_39939), true, genls(c_tptpcol_15_40430, c_tptpcol_7_39939), true), true)
% 2.30/0.58 = { by axiom 10 (just88) }
% 2.30/0.58 true
% 2.30/0.58 % SZS output end Proof
% 2.30/0.58
% 2.30/0.58 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------