%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG171+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n024.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 18:06:08 EDT 2022 % Result : Theorem 240.29s 240.58s % Output : Proof 240.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : ALG171+1 : TPTP v8.1.0. Released v2.7.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.33 % Computer : n024.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Wed Jun 8 19:07:04 EDT 2022 % 0.11/0.33 % CPUTime : % 240.29/240.58 % SZS status Theorem % 240.29/240.58 (* PROOF-FOUND *) % 240.29/240.58 (* BEGIN-PROOF *) % 240.29/240.58 % SZS output start Proof % 240.29/240.58 1. ((e0) != (e0)) ### NotEqual % 240.29/240.58 2. ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (op (e4) (e4))) != (e4)) ### Axiom % 240.29/240.58 3. ((e0) != (e4)) ((e0) = (op (e4) (op (e4) (e4)))) ((op (e4) (op (e4) (e4))) = (e4)) ### Trans 1 2 % 240.29/240.58 4. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) ((op (e4) (op (e4) (e4))) = (e4)) ((e0) = (op (e4) (op (e4) (e4)))) ### ConjTree 3 % 240.29/240.58 5. (((e0) = (op (e4) (op (e4) (e4)))) /\ (((e1) = (op (e4) (e4))) /\ (((e2) = (op (op (e4) (op (e4) (e4))) (op (e4) (e4)))) /\ ((e3) = (op (op (e4) (op (e4) (e4))) (op (e4) (op (e4) (e4)))))))) ((op (e4) (op (e4) (e4))) = (e4)) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) ### ConjTree 4 % 240.29/240.58 6. (((((op (e0) (e0)) != (e0)) /\ (((op (e1) (e0)) != (e1)) /\ (((op (e2) (e0)) != (e2)) /\ (((op (e3) (e0)) != (e3)) /\ ((op (e4) (e0)) != (e4)))))) \/ ((((op (e0) (e1)) != (e0)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e1)) != (e2)) /\ (((op (e3) (e1)) != (e3)) /\ ((op (e4) (e1)) != (e4)))))) \/ ((((op (e0) (e2)) != (e0)) /\ (((op (e1) (e2)) != (e1)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e2)) != (e3)) /\ ((op (e4) (e2)) != (e4)))))) \/ ((((op (e0) (e3)) != (e0)) /\ (((op (e1) (e3)) != (e1)) /\ (((op (e2) (e3)) != (e2)) /\ (((op (e3) (e3)) != (e3)) /\ ((op (e4) (e3)) != (e4)))))) \/ (((op (e0) (e4)) != (e0)) /\ (((op (e1) (e4)) != (e1)) /\ (((op (e2) (e4)) != (e2)) /\ (((op (e3) (e4)) != (e3)) /\ ((op (e4) (e4)) != (e4)))))))))) /\ (((op (e0) (op (e0) (e0))) = (e0)) /\ (((op (e0) (op (e0) (e1))) = (e1)) /\ (((op (e0) (op (e0) (e2))) = (e2)) /\ (((op (e0) (op (e0) (e3))) = (e3)) /\ (((op (e0) (op (e0) (e4))) = (e4)) /\ (((op (e1) (op (e1) (e0))) = (e0)) /\ (((op (e1) (op (e1) (e1))) = (e1)) /\ (((op (e1) (op (e1) (e2))) = (e2)) /\ (((op (e1) (op (e1) (e3))) = (e3)) /\ (((op (e1) (op (e1) (e4))) = (e4)) /\ (((op (e2) (op (e2) (e0))) = (e0)) /\ (((op (e2) (op (e2) (e1))) = (e1)) /\ (((op (e2) (op (e2) (e2))) = (e2)) /\ (((op (e2) (op (e2) (e3))) = (e3)) /\ (((op (e2) (op (e2) (e4))) = (e4)) /\ (((op (e3) (op (e3) (e0))) = (e0)) /\ (((op (e3) (op (e3) (e1))) = (e1)) /\ (((op (e3) (op (e3) (e2))) = (e2)) /\ (((op (e3) (op (e3) (e3))) = (e3)) /\ (((op (e3) (op (e3) (e4))) = (e4)) /\ (((op (e4) (op (e4) (e0))) = (e0)) /\ (((op (e4) (op (e4) (e1))) = (e1)) /\ (((op (e4) (op (e4) (e2))) = (e2)) /\ (((op (e4) (op (e4) (e3))) = (e3)) /\ ((op (e4) (op (e4) (e4))) = (e4))))))))))))))))))))))))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) (((e0) = (op (e4) (op (e4) (e4)))) /\ (((e1) = (op (e4) (e4))) /\ (((e2) = (op (op (e4) (op (e4) (e4))) (op (e4) (e4)))) /\ ((e3) = (op (op (e4) (op (e4) (e4))) (op (e4) (op (e4) (e4)))))))) ### ConjTree 5 % 240.29/240.58 7. (-. (-. (((((op (e0) (e0)) != (e0)) /\ (((op (e1) (e0)) != (e1)) /\ (((op (e2) (e0)) != (e2)) /\ (((op (e3) (e0)) != (e3)) /\ ((op (e4) (e0)) != (e4)))))) \/ ((((op (e0) (e1)) != (e0)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e1)) != (e2)) /\ (((op (e3) (e1)) != (e3)) /\ ((op (e4) (e1)) != (e4)))))) \/ ((((op (e0) (e2)) != (e0)) /\ (((op (e1) (e2)) != (e1)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e2)) != (e3)) /\ ((op (e4) (e2)) != (e4)))))) \/ ((((op (e0) (e3)) != (e0)) /\ (((op (e1) (e3)) != (e1)) /\ (((op (e2) (e3)) != (e2)) /\ (((op (e3) (e3)) != (e3)) /\ ((op (e4) (e3)) != (e4)))))) \/ (((op (e0) (e4)) != (e0)) /\ (((op (e1) (e4)) != (e1)) /\ (((op (e2) (e4)) != (e2)) /\ (((op (e3) (e4)) != (e3)) /\ ((op (e4) (e4)) != (e4)))))))))) /\ (((op (e0) (op (e0) (e0))) = (e0)) /\ (((op (e0) (op (e0) (e1))) = (e1)) /\ (((op (e0) (op (e0) (e2))) = (e2)) /\ (((op (e0) (op (e0) (e3))) = (e3)) /\ (((op (e0) (op (e0) (e4))) = (e4)) /\ (((op (e1) (op (e1) (e0))) = (e0)) /\ (((op (e1) (op (e1) (e1))) = (e1)) /\ (((op (e1) (op (e1) (e2))) = (e2)) /\ (((op (e1) (op (e1) (e3))) = (e3)) /\ (((op (e1) (op (e1) (e4))) = (e4)) /\ (((op (e2) (op (e2) (e0))) = (e0)) /\ (((op (e2) (op (e2) (e1))) = (e1)) /\ (((op (e2) (op (e2) (e2))) = (e2)) /\ (((op (e2) (op (e2) (e3))) = (e3)) /\ (((op (e2) (op (e2) (e4))) = (e4)) /\ (((op (e3) (op (e3) (e0))) = (e0)) /\ (((op (e3) (op (e3) (e1))) = (e1)) /\ (((op (e3) (op (e3) (e2))) = (e2)) /\ (((op (e3) (op (e3) (e3))) = (e3)) /\ (((op (e3) (op (e3) (e4))) = (e4)) /\ (((op (e4) (op (e4) (e0))) = (e0)) /\ (((op (e4) (op (e4) (e1))) = (e1)) /\ (((op (e4) (op (e4) (e2))) = (e2)) /\ (((op (e4) (op (e4) (e3))) = (e3)) /\ ((op (e4) (op (e4) (e4))) = (e4))))))))))))))))))))))))))))) (((e0) = (op (e4) (op (e4) (e4)))) /\ (((e1) = (op (e4) (e4))) /\ (((e2) = (op (op (e4) (op (e4) (e4))) (op (e4) (e4)))) /\ ((e3) = (op (op (e4) (op (e4) (e4))) (op (e4) (op (e4) (e4)))))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) ### NotNot 6 % 240.29/240.58 % SZS output end Proof % 240.29/240.58 (* END-PROOF *) %------------------------------------------------------------------------------