%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS192+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 : n022.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 03:32:09 EDT 2022 % Result : Theorem 2.33s 2.50s % Output : Proof 2.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : KRS192+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n022.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 7 17:20:20 EDT 2022 % 0.12/0.33 % CPUTime : % 2.33/2.50 % SZS status Theorem % 2.33/2.50 (* PROOF-FOUND *) % 2.33/2.50 (* BEGIN-PROOF *) % 2.33/2.50 % SZS output start Proof % 2.33/2.50 1. (status T_0 T_1 (wth)) (-. (status T_0 T_1 (wth))) ### Axiom % 2.33/2.50 2. (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (All I1, ((model I1 T_0) => (model I1 T_1))) ### Axiom % 2.33/2.50 3. ((Ex I1, (model I1 T_0)) /\ ((All I1, ((model I1 T_0) => (model I1 T_1))) /\ ((Ex I3, ((model I3 T_1) /\ (-. (model I3 T_0)))) /\ (Ex I4, (-. (model I4 T_1)))))) (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) ### ConjTree 2 % 2.33/2.50 4. (((Ex I1, (model I1 T_0)) /\ ((All I1, ((model I1 T_0) => (model I1 T_1))) /\ ((Ex I3, ((model I3 T_1) /\ (-. (model I3 T_0)))) /\ (Ex I4, (-. (model I4 T_1)))))) <=> (status T_0 T_1 (wth))) (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (status T_0 T_1 (wth)) ### Equiv 1 3 % 2.33/2.50 5. (All C, (((Ex I1, (model I1 T_0)) /\ ((All I1, ((model I1 T_0) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 T_0)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status T_0 C (wth)))) (status T_0 T_1 (wth)) (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) ### All 4 % 2.33/2.50 6. (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (status T_0 T_1 (wth)) ### All 5 % 2.33/2.50 7. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm)) ### Axiom % 2.33/2.50 8. ((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 (wth)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) ### Equiv 6 7 % 2.33/2.50 9. (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 I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) (status T_0 T_1 (wth)) (-. (status T_0 T_1 (thm))) ### All 8 % 2.33/2.50 10. (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 (wth)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) ### All 9 % 2.33/2.50 11. (-. ((status T_0 T_1 (wth)) => (status T_0 T_1 (thm)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotImply 10 % 2.33/2.50 12. (-. (All C, ((status T_0 C (wth)) => (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 I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) ### NotAllEx 11 % 2.33/2.50 13. (-. (All Ax, (All C, ((status Ax C (wth)) => (status Ax C (thm)))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotAllEx 12 % 2.33/2.50 14. (-. (isa (wth) (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 I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) ### Definition-Pseudo(isa) 13 % 2.33/2.50 % SZS output end Proof % 2.33/2.50 (* END-PROOF *) %------------------------------------------------------------------------------