%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN351+1 : TPTP v8.1.0. Released v2.0.0. % 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 21 12:42:53 EDT 2022 % Result : Theorem 0.22s 0.44s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SYN351+1 : TPTP v8.1.0. Released v2.0.0. % 0.08/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.35 % Computer : n024.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Tue Jul 12 06:28:43 EDT 2022 % 0.14/0.35 % CPUTime : % 0.22/0.44 % SZS status Theorem % 0.22/0.44 (* PROOF-FOUND *) % 0.22/0.44 (* BEGIN-PROOF *) % 0.22/0.44 % SZS output start Proof % 0.22/0.44 1. (-. (big_f T_0 T_1 T_0 T_1)) (big_f T_0 T_1 T_0 T_1) ### Axiom % 0.22/0.44 2. (-. ((big_f T_0 T_1 T_0 T_2) => (((big_f T_0 T_1 T_0 T_1) <=> (big_f T_1 T_3 T_1 T_1)) => ((big_f T_0 T_1 T_0 T_1) => (((big_f T_0 T_1 T_1 T_1) => (big_f T_0 T_2 T_1 T_2)) /\ ((big_f T_0 T_2 T_1 T_2) => ((big_f T_0 T_1 T_0 T_1) <=> (big_f T_0 T_1 T_1 T_1)))))))) (-. (big_f T_0 T_1 T_0 T_1)) ### ConjTree 1 % 0.22/0.44 3. (-. (All Z, ((big_f T_0 T_1 T_0 Z) => (((big_f T_0 T_1 T_0 T_1) <=> (big_f T_1 T_3 T_1 T_1)) => ((big_f T_0 T_1 T_0 T_1) => (((big_f T_0 T_1 T_1 T_1) => (big_f T_0 Z T_1 Z)) /\ ((big_f T_0 Z T_1 Z) => ((big_f T_0 T_1 T_0 T_1) <=> (big_f T_0 T_1 T_1 T_1))))))))) (-. (big_f T_0 T_1 T_0 T_1)) ### NotAllEx 2 % 0.22/0.44 4. (-. (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 T_1 T_0 Y2) <=> (big_f T_1 T_3 T_1 Y2)) => ((big_f T_0 T_1 T_0 Y2) => (((big_f T_0 Y2 T_1 Y2) => (big_f T_0 Z T_1 Z)) /\ ((big_f T_0 Z T_1 Z) => ((big_f T_0 T_1 T_0 Y2) <=> (big_f T_0 Y2 T_1 Y2)))))))))) (-. (big_f T_0 T_1 T_0 T_1)) ### NotExists 3 % 0.22/0.44 5. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 Y1 T_0 Y2) <=> (big_f Y1 T_3 Y1 Y2)) => ((big_f T_0 Y1 T_0 Y2) => (((big_f T_0 Y2 Y1 Y2) => (big_f T_0 Z Y1 Z)) /\ ((big_f T_0 Z Y1 Z) => ((big_f T_0 Y1 T_0 Y2) <=> (big_f T_0 Y2 Y1 Y2))))))))))) (-. (big_f T_0 T_1 T_0 T_1)) ### NotExists 4 % 0.22/0.44 6. (-. ((big_f T_0 T_0 T_0 T_0) => (big_f T_0 T_1 T_0 T_1))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 Y1 T_0 Y2) <=> (big_f Y1 T_3 Y1 Y2)) => ((big_f T_0 Y1 T_0 Y2) => (((big_f T_0 Y2 Y1 Y2) => (big_f T_0 Z Y1 Z)) /\ ((big_f T_0 Z Y1 Z) => ((big_f T_0 Y1 T_0 Y2) <=> (big_f T_0 Y2 Y1 Y2))))))))))) ### NotImply 5 % 0.22/0.44 7. (big_f T_0 T_0 T_0 T_0) (-. (big_f T_0 T_0 T_0 T_0)) ### Axiom % 0.22/0.44 8. (big_f T_0 T_0 T_0 T_0) (-. (big_f T_0 T_0 T_0 T_0)) ### Axiom % 0.22/0.44 9. (-. ((big_f T_0 T_0 T_0 T_0) <=> (big_f T_0 T_0 T_0 T_0))) (big_f T_0 T_0 T_0 T_0) ### NotEquiv 7 8 % 0.22/0.44 10. (-. ((big_f T_0 T_1 T_0 T_1) => ((big_f T_0 T_0 T_0 T_0) <=> (big_f T_0 T_0 T_0 T_0)))) (big_f T_0 T_0 T_0 T_0) ### NotImply 9 % 0.22/0.44 11. (-. (((big_f T_0 T_0 T_0 T_0) => (big_f T_0 T_1 T_0 T_1)) /\ ((big_f T_0 T_1 T_0 T_1) => ((big_f T_0 T_0 T_0 T_0) <=> (big_f T_0 T_0 T_0 T_0))))) (big_f T_0 T_0 T_0 T_0) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 Y1 T_0 Y2) <=> (big_f Y1 T_3 Y1 Y2)) => ((big_f T_0 Y1 T_0 Y2) => (((big_f T_0 Y2 Y1 Y2) => (big_f T_0 Z Y1 Z)) /\ ((big_f T_0 Z Y1 Z) => ((big_f T_0 Y1 T_0 Y2) <=> (big_f T_0 Y2 Y1 Y2))))))))))) ### NotAnd 6 10 % 0.22/0.44 12. (-. ((big_f T_0 T_0 T_0 T_1) => (((big_f T_0 T_0 T_0 T_0) <=> (big_f T_0 T_3 T_0 T_0)) => ((big_f T_0 T_0 T_0 T_0) => (((big_f T_0 T_0 T_0 T_0) => (big_f T_0 T_1 T_0 T_1)) /\ ((big_f T_0 T_1 T_0 T_1) => ((big_f T_0 T_0 T_0 T_0) <=> (big_f T_0 T_0 T_0 T_0)))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 Y1 T_0 Y2) <=> (big_f Y1 T_3 Y1 Y2)) => ((big_f T_0 Y1 T_0 Y2) => (((big_f T_0 Y2 Y1 Y2) => (big_f T_0 Z Y1 Z)) /\ ((big_f T_0 Z Y1 Z) => ((big_f T_0 Y1 T_0 Y2) <=> (big_f T_0 Y2 Y1 Y2))))))))))) ### ConjTree 11 % 0.22/0.44 13. (-. (All Z, ((big_f T_0 T_0 T_0 Z) => (((big_f T_0 T_0 T_0 T_0) <=> (big_f T_0 T_3 T_0 T_0)) => ((big_f T_0 T_0 T_0 T_0) => (((big_f T_0 T_0 T_0 T_0) => (big_f T_0 Z T_0 Z)) /\ ((big_f T_0 Z T_0 Z) => ((big_f T_0 T_0 T_0 T_0) <=> (big_f T_0 T_0 T_0 T_0))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 Y1 T_0 Y2) <=> (big_f Y1 T_3 Y1 Y2)) => ((big_f T_0 Y1 T_0 Y2) => (((big_f T_0 Y2 Y1 Y2) => (big_f T_0 Z Y1 Z)) /\ ((big_f T_0 Z Y1 Z) => ((big_f T_0 Y1 T_0 Y2) <=> (big_f T_0 Y2 Y1 Y2))))))))))) ### NotAllEx 12 % 0.22/0.44 14. (-. (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 T_0 T_0 Y2) <=> (big_f T_0 T_3 T_0 Y2)) => ((big_f T_0 T_0 T_0 Y2) => (((big_f T_0 Y2 T_0 Y2) => (big_f T_0 Z T_0 Z)) /\ ((big_f T_0 Z T_0 Z) => ((big_f T_0 T_0 T_0 Y2) <=> (big_f T_0 Y2 T_0 Y2)))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 Y1 T_0 Y2) <=> (big_f Y1 T_3 Y1 Y2)) => ((big_f T_0 Y1 T_0 Y2) => (((big_f T_0 Y2 Y1 Y2) => (big_f T_0 Z Y1 Z)) /\ ((big_f T_0 Z Y1 Z) => ((big_f T_0 Y1 T_0 Y2) <=> (big_f T_0 Y2 Y1 Y2))))))))))) ### NotExists 13 % 0.22/0.44 15. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 Y1 T_0 Y2) <=> (big_f Y1 T_3 Y1 Y2)) => ((big_f T_0 Y1 T_0 Y2) => (((big_f T_0 Y2 Y1 Y2) => (big_f T_0 Z Y1 Z)) /\ ((big_f T_0 Z Y1 Z) => ((big_f T_0 Y1 T_0 Y2) <=> (big_f T_0 Y2 Y1 Y2))))))))))) ### NotExists 14 % 0.22/0.44 16. (-. (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f T_0 Y2 T_0 Z) => (((big_f T_0 Y1 T_0 Y2) <=> (big_f Y1 X2 Y1 Y2)) => ((big_f T_0 Y1 T_0 Y2) => (((big_f T_0 Y2 Y1 Y2) => (big_f T_0 Z Y1 Z)) /\ ((big_f T_0 Z Y1 Z) => ((big_f T_0 Y1 T_0 Y2) <=> (big_f T_0 Y2 Y1 Y2)))))))))))) ### NotAllEx 15 % 0.22/0.44 17. (-. (All X1, (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f X1 Y2 X1 Z) => (((big_f X1 Y1 X1 Y2) <=> (big_f Y1 X2 Y1 Y2)) => ((big_f X1 Y1 X1 Y2) => (((big_f X1 Y2 Y1 Y2) => (big_f X1 Z Y1 Z)) /\ ((big_f X1 Z Y1 Z) => ((big_f X1 Y1 X1 Y2) <=> (big_f X1 Y2 Y1 Y2))))))))))))) ### NotAllEx 16 % 0.22/0.44 % SZS output end Proof % 0.22/0.44 (* END-PROOF *) %------------------------------------------------------------------------------