%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN349+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 : n021.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 12:42:52 EDT 2022 % Result : Theorem 0.20s 0.41s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN349+1 : TPTP v8.1.0. Released v2.0.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 20:03:08 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.41 % SZS status Theorem % 0.20/0.41 (* PROOF-FOUND *) % 0.20/0.41 (* BEGIN-PROOF *) % 0.20/0.41 % SZS output start Proof % 0.20/0.41 1. (-. (big_f T_0 T_1)) (big_f T_0 T_1) ### Axiom % 0.20/0.41 2. (big_f T_1 T_0) (-. (big_f T_1 T_0)) ### Axiom % 0.20/0.41 3. (-. (big_f zenon_X2 T_1)) (big_f zenon_X2 T_1) ### Axiom % 0.20/0.41 4. ((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) (-. (big_f zenon_X2 T_1)) (big_f T_1 T_0) ### Equiv 2 3 % 0.20/0.41 5. (-. (((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1))) (big_f T_1 T_0) (-. (big_f zenon_X2 T_1)) (-. (big_f T_0 T_1)) ### NotEquiv 1 4 % 0.20/0.41 6. (-. (big_f T_1 T_0)) (big_f T_1 T_0) ### Axiom % 0.20/0.41 7. (-. (big_f zenon_X2 T_1)) (big_f zenon_X2 T_1) ### Axiom % 0.20/0.41 8. (-. ((big_f zenon_X2 T_1) <=> (big_f T_1 T_0))) (-. (big_f zenon_X2 T_1)) (-. (big_f T_1 T_0)) ### NotEquiv 6 7 % 0.20/0.41 9. (-. (big_f T_0 T_1)) (big_f T_0 T_1) ### Axiom % 0.20/0.41 10. (((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) (-. (big_f T_0 T_1)) (-. (big_f T_1 T_0)) (-. (big_f zenon_X2 T_1)) ### Equiv 8 9 % 0.20/0.41 11. (-. ((((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) <=> (big_f T_1 T_0))) (-. (big_f T_0 T_1)) (-. (big_f zenon_X2 T_1)) ### NotEquiv 5 10 % 0.20/0.41 12. (big_f zenon_X2 T_1) (-. (big_f zenon_X2 T_1)) ### Axiom % 0.20/0.41 13. (big_f T_1 T_0) (-. (big_f T_1 T_0)) ### Axiom % 0.20/0.41 14. (-. ((big_f zenon_X2 T_1) <=> (big_f T_1 T_0))) (big_f T_1 T_0) (big_f zenon_X2 T_1) ### NotEquiv 12 13 % 0.20/0.41 15. (big_f T_0 T_1) (-. (big_f T_0 T_1)) ### Axiom % 0.20/0.41 16. (-. (((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1))) (big_f T_0 T_1) (big_f zenon_X2 T_1) (big_f T_1 T_0) ### NotEquiv 14 15 % 0.20/0.41 17. (big_f T_0 T_1) (-. (big_f T_0 T_1)) ### Axiom % 0.20/0.41 18. (big_f zenon_X2 T_1) (-. (big_f zenon_X2 T_1)) ### Axiom % 0.20/0.41 19. (-. (big_f T_1 T_0)) (big_f T_1 T_0) ### Axiom % 0.20/0.41 20. ((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) (-. (big_f T_1 T_0)) (big_f zenon_X2 T_1) ### Equiv 18 19 % 0.20/0.41 21. (((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) (big_f zenon_X2 T_1) (-. (big_f T_1 T_0)) (big_f T_0 T_1) ### Equiv 17 20 % 0.20/0.41 22. (-. ((((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) <=> (big_f T_1 T_0))) (big_f zenon_X2 T_1) (big_f T_0 T_1) ### NotEquiv 16 21 % 0.20/0.41 23. ((big_f zenon_X2 T_1) <=> (big_f T_0 T_1)) (-. ((((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) <=> (big_f T_1 T_0))) ### Equiv 11 22 % 0.20/0.41 24. (-. (((big_f zenon_X2 T_1) <=> (big_f T_0 T_1)) => ((((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) <=> (big_f T_1 T_0)))) ### NotImply 23 % 0.20/0.41 25. (-. (All X4, (((big_f zenon_X2 X4) <=> (big_f T_0 X4)) => ((((big_f zenon_X2 X4) <=> (big_f X4 T_0)) <=> (big_f T_0 X4)) <=> (big_f X4 T_0))))) ### NotAllEx 24 % 0.20/0.41 26. (-. (Ex X3, (All X4, (((big_f zenon_X2 X4) <=> (big_f T_0 X4)) => ((((big_f zenon_X2 X4) <=> (big_f X4 X3)) <=> (big_f X3 X4)) <=> (big_f X4 T_0)))))) ### NotExists 25 % 0.20/0.41 27. (-. (All X2, (Ex X3, (All X4, (((big_f zenon_X2 X4) <=> (big_f X2 X4)) => ((((big_f zenon_X2 X4) <=> (big_f X4 X3)) <=> (big_f X3 X4)) <=> (big_f X4 X2))))))) ### NotAllEx 26 % 0.20/0.41 28. (-. (Ex X1, (All X2, (Ex X3, (All X4, (((big_f X1 X4) <=> (big_f X2 X4)) => ((((big_f X1 X4) <=> (big_f X4 X3)) <=> (big_f X3 X4)) <=> (big_f X4 X2)))))))) ### NotExists 27 % 0.20/0.41 % SZS output end Proof % 0.20/0.41 (* END-PROOF *) %------------------------------------------------------------------------------