%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS186+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n025.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 : Sun Jul 17 03:32:08 EDT 2022 % Result : Theorem 12.88s 13.12s % Output : Proof 12.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.10 % Problem : KRS186+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.05/0.10 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.09/0.30 % Computer : n025.cluster.edu % 0.09/0.30 % Model : x86_64 x86_64 % 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.30 % Memory : 8042.1875MB % 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.30 % CPULimit : 300 % 0.09/0.30 % WCLimit : 600 % 0.09/0.30 % DateTime : Tue Jun 7 10:55:48 EDT 2022 % 0.09/0.30 % CPUTime : % 12.88/13.12 % SZS status Theorem % 12.88/13.12 (* PROOF-FOUND *) % 12.88/13.12 (* BEGIN-PROOF *) % 12.88/13.12 % SZS output start Proof % 12.88/13.12 1. (status T_0 T_1 (eqv)) (-. (status T_0 T_1 (eqv))) ### Axiom % 12.88/13.12 2. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom % 12.88/13.12 3. (-. (model T_2 T_1)) (model T_2 T_1) ### Axiom % 12.88/13.12 4. ((model T_2 T_0) <=> (model T_2 T_1)) (-. (model T_2 T_1)) (model T_2 T_0) ### Equiv 2 3 % 12.88/13.12 5. (All I2, ((model I2 T_0) <=> (model I2 T_1))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 4 % 12.88/13.12 6. ((Ex I1, (model I1 T_0)) /\ (All I2, ((model I2 T_0) <=> (model I2 T_1)))) (-. (model T_2 T_1)) (model T_2 T_0) ### And 5 % 12.88/13.12 7. (((Ex I1, (model I1 T_0)) /\ (All I2, ((model I2 T_0) <=> (model I2 T_1)))) <=> (status T_0 T_1 (eqv))) (model T_2 T_0) (-. (model T_2 T_1)) (status T_0 T_1 (eqv)) ### Equiv 1 6 % 12.88/13.12 8. (All C, (((Ex I1, (model I1 T_0)) /\ (All I2, ((model I2 T_0) <=> (model I2 C)))) <=> (status T_0 C (eqv)))) (status T_0 T_1 (eqv)) (-. (model T_2 T_1)) (model T_2 T_0) ### All 7 % 12.88/13.12 9. (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) (model T_2 T_0) (-. (model T_2 T_1)) (status T_0 T_1 (eqv)) ### All 8 % 12.88/13.12 10. (-. ((model T_2 T_0) => (model T_2 T_1))) (status T_0 T_1 (eqv)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) ### NotImply 9 % 12.88/13.12 11. (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) (status T_0 T_1 (eqv)) ### NotAllEx 10 % 12.88/13.12 12. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm)) ### Axiom % 12.88/13.12 13. ((All I1, ((model I1 T_0) => (model I1 T_1))) <=> (status T_0 T_1 (thm))) (-. (status T_0 T_1 (thm))) (status T_0 T_1 (eqv)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) ### Equiv 11 12 % 12.88/13.12 14. (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) (status T_0 T_1 (eqv)) (-. (status T_0 T_1 (thm))) ### All 13 % 12.88/13.12 15. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (status T_0 T_1 (thm))) (status T_0 T_1 (eqv)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) ### All 14 % 12.88/13.12 16. (-. ((status T_0 T_1 (eqv)) => (status T_0 T_1 (thm)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotImply 15 % 12.88/13.12 17. (-. (All C, ((status T_0 C (eqv)) => (status T_0 C (thm))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) ### NotAllEx 16 % 12.88/13.12 18. (-. (All Ax, (All C, ((status Ax C (eqv)) => (status Ax C (thm)))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotAllEx 17 % 12.88/13.12 19. (-. (isa (eqv) (thm))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, ((model I2 Ax) <=> (model I2 C)))) <=> (status Ax C (eqv))))) ### Definition-Pseudo(isa) 18 % 12.88/13.12 % SZS output end Proof % 12.88/13.12 (* END-PROOF *) %------------------------------------------------------------------------------