%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:29:00 EDT 2022 % Result : Theorem 1.16s 1.33s % Output : Proof 1.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.10 % Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0. % 0.10/0.11 % Command : run_zenon %s %d % 0.10/0.30 % Computer : n032.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Thu Jun 9 00:07:37 EDT 2022 % 0.10/0.30 % CPUTime : % 1.16/1.33 (* PROOF-FOUND *) % 1.16/1.33 % SZS status Theorem % 1.16/1.33 (* BEGIN-PROOF *) % 1.16/1.33 % SZS output start Proof % 1.16/1.33 Theorem co1 : ((((op (e0) (e0)) = (op (e0) (e0)))/\(((op (e0) (e1)) = (op (e1) (e0)))/\(((op (e0) (e2)) = (op (e2) (e0)))/\(((op (e0) (e3)) = (op (e3) (e0)))/\(((op (e0) (e4)) = (op (e4) (e0)))/\(((op (e0) (e5)) = (op (e5) (e0)))/\(((op (e1) (e0)) = (op (e0) (e1)))/\(((op (e1) (e1)) = (op (e1) (e1)))/\(((op (e1) (e2)) = (op (e2) (e1)))/\(((op (e1) (e3)) = (op (e3) (e1)))/\(((op (e1) (e4)) = (op (e4) (e1)))/\(((op (e1) (e5)) = (op (e5) (e1)))/\(((op (e2) (e0)) = (op (e0) (e2)))/\(((op (e2) (e1)) = (op (e1) (e2)))/\(((op (e2) (e2)) = (op (e2) (e2)))/\(((op (e2) (e3)) = (op (e3) (e2)))/\(((op (e2) (e4)) = (op (e4) (e2)))/\(((op (e2) (e5)) = (op (e5) (e2)))/\(((op (e3) (e0)) = (op (e0) (e3)))/\(((op (e3) (e1)) = (op (e1) (e3)))/\(((op (e3) (e2)) = (op (e2) (e3)))/\(((op (e3) (e3)) = (op (e3) (e3)))/\(((op (e3) (e4)) = (op (e4) (e3)))/\(((op (e3) (e5)) = (op (e5) (e3)))/\(((op (e4) (e0)) = (op (e0) (e4)))/\(((op (e4) (e1)) = (op (e1) (e4)))/\(((op (e4) (e2)) = (op (e2) (e4)))/\(((op (e4) (e3)) = (op (e3) (e4)))/\(((op (e4) (e4)) = (op (e4) (e4)))/\(((op (e4) (e5)) = (op (e5) (e4)))/\(((op (e5) (e0)) = (op (e0) (e5)))/\(((op (e5) (e1)) = (op (e1) (e5)))/\(((op (e5) (e2)) = (op (e2) (e5)))/\(((op (e5) (e3)) = (op (e3) (e5)))/\(((op (e5) (e4)) = (op (e4) (e5)))/\((op (e5) (e5)) = (op (e5) (e5))))))))))))))))))))))))))))))))))))))\/(~(((op (e0) (e0)) = (op (e0) (e0)))/\(((op (e0) (e1)) = (op (e1) (e0)))/\(((op (e0) (e2)) = (op (e2) (e0)))/\(((op (e0) (e3)) = (op (e3) (e0)))/\(((op (e0) (e4)) = (op (e4) (e0)))/\(((op (e0) (e5)) = (op (e5) (e0)))/\(((op (e1) (e0)) = (op (e0) (e1)))/\(((op (e1) (e1)) = (op (e1) (e1)))/\(((op (e1) (e2)) = (op (e2) (e1)))/\(((op (e1) (e3)) = (op (e3) (e1)))/\(((op (e1) (e4)) = (op (e4) (e1)))/\(((op (e1) (e5)) = (op (e5) (e1)))/\(((op (e2) (e0)) = (op (e0) (e2)))/\(((op (e2) (e1)) = (op (e1) (e2)))/\(((op (e2) (e2)) = (op (e2) (e2)))/\(((op (e2) (e3)) = (op (e3) (e2)))/\(((op (e2) (e4)) = (op (e4) (e2)))/\(((op (e2) (e5)) = (op (e5) (e2)))/\(((op (e3) (e0)) = (op (e0) (e3)))/\(((op (e3) (e1)) = (op (e1) (e3)))/\(((op (e3) (e2)) = (op (e2) (e3)))/\(((op (e3) (e3)) = (op (e3) (e3)))/\(((op (e3) (e4)) = (op (e4) (e3)))/\(((op (e3) (e5)) = (op (e5) (e3)))/\(((op (e4) (e0)) = (op (e0) (e4)))/\(((op (e4) (e1)) = (op (e1) (e4)))/\(((op (e4) (e2)) = (op (e2) (e4)))/\(((op (e4) (e3)) = (op (e3) (e4)))/\(((op (e4) (e4)) = (op (e4) (e4)))/\(((op (e4) (e5)) = (op (e5) (e4)))/\(((op (e5) (e0)) = (op (e0) (e5)))/\(((op (e5) (e1)) = (op (e1) (e5)))/\(((op (e5) (e2)) = (op (e2) (e5)))/\(((op (e5) (e3)) = (op (e3) (e5)))/\(((op (e5) (e4)) = (op (e4) (e5)))/\((op (e5) (e5)) = (op (e5) (e5)))))))))))))))))))))))))))))))))))))))). % 1.16/1.33 Proof. % 1.16/1.33 apply NNPP. intro zenon_G. % 1.16/1.33 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 1.16/1.33 exact (zenon_Hc zenon_Hd). % 1.16/1.33 Qed. % 1.16/1.33 % SZS output end Proof % 1.16/1.33 (* END-PROOF *) % 1.16/1.33 nodes searched: 60 % 1.16/1.33 max branch formulas: 576 % 1.16/1.33 proof nodes created: 38 % 1.16/1.33 formulas created: 39417 % 1.16/1.33 %------------------------------------------------------------------------------