%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS086+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n026.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 03:31:52 EDT 2022 % Result : Unsatisfiable 3.43s 3.63s % Output : Proof 3.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : KRS086+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n026.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jun 7 19:05:01 EDT 2022 % 0.13/0.34 % CPUTime : % 3.43/3.63 % SZS status Theorem % 3.43/3.63 (* PROOF-FOUND *) % 3.43/3.63 (* BEGIN-PROOF *) % 3.43/3.63 % SZS output start Proof % 3.43/3.63 1. (-. (cowlThing T_0)) (cowlThing T_0) ### Axiom % 3.43/3.63 2. ((cowlThing T_0) /\ (-. (cowlNothing T_0))) (-. (cowlThing T_0)) ### And 1 % 3.43/3.63 3. (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (-. (cowlThing T_0)) ### All 2 % 3.43/3.63 4. (rf T_0 T_1) (-. (rf T_0 T_1)) ### Axiom % 3.43/3.63 5. (rf T_0 T_2) (-. (rf T_0 T_2)) ### Axiom % 3.43/3.63 6. (T_2 != T_1) (T_1 = T_2) ### Sym(=) % 3.43/3.63 7. (((rf T_0 T_1) /\ (rf T_0 T_2)) => (T_1 = T_2)) (T_2 != T_1) (rf T_0 T_2) (rf T_0 T_1) ### DisjTree 4 5 6 % 3.43/3.63 8. (All Y1, (((rf T_0 T_1) /\ (rf T_0 Y1)) => (T_1 = Y1))) (rf T_0 T_1) (rf T_0 T_2) (T_2 != T_1) ### All 7 % 3.43/3.63 9. (All Y0, (All Y1, (((rf T_0 Y0) /\ (rf T_0 Y1)) => (Y0 = Y1)))) (T_2 != T_1) (rf T_0 T_2) (rf T_0 T_1) ### All 8 % 3.43/3.63 10. ((cowlThing T_0) => (All Y0, (All Y1, (((rf T_0 Y0) /\ (rf T_0 Y1)) => (Y0 = Y1))))) (rf T_0 T_1) (rf T_0 T_2) (T_2 != T_1) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) ### Imply 3 9 % 3.43/3.63 11. (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (T_2 != T_1) (rf T_0 T_2) (rf T_0 T_1) ### All 10 % 3.43/3.63 12. (-. (cp1 T_1)) (cp1 T_2) (rf T_0 T_1) (rf T_0 T_2) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### P-NotP 11 % 3.43/3.63 13. ((rf T_0 T_1) /\ (-. (cp1 T_1))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (rf T_0 T_2) (cp1 T_2) ### And 12 % 3.43/3.63 14. (Ex W, ((rf T_0 W) /\ (-. (cp1 W)))) (cp1 T_2) (rf T_0 T_2) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### Exists 13 % 3.43/3.63 15. (rinvF T_2 T_0) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (cp1 T_2) (Ex W, ((rf T_0 W) /\ (-. (cp1 W)))) ### Definition-Pseudo(rinvF) 14 % 3.43/3.63 16. ((rinvF T_2 T_0) /\ (Ex W, ((rf T_0 W) /\ (-. (cp1 W))))) (cp1 T_2) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### And 15 % 3.43/3.63 17. (Ex Z, ((rinvF T_2 Z) /\ (Ex W, ((rf Z W) /\ (-. (cp1 W)))))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (cp1 T_2) ### Exists 16 % 3.43/3.63 18. ((rf (i2003_11_14_17_19_42328) T_2) /\ ((Ex Z, ((rinvF T_2 Z) /\ (Ex W, ((rf Z W) /\ (-. (cp1 W)))))) /\ (cp1 T_2))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### ConjTree 17 % 3.43/3.63 19. (Ex Y, ((rf (i2003_11_14_17_19_42328) Y) /\ ((Ex Z, ((rinvF Y Z) /\ (Ex W, ((rf Z W) /\ (-. (cp1 W)))))) /\ (cp1 Y)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) ### Exists 18 % 3.43/3.63 20. (cUnsatisfiable (i2003_11_14_17_19_42328)) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### Definition-Pseudo(cUnsatisfiable) 19 % 3.43/3.63 % SZS output end Proof % 3.43/3.63 (* END-PROOF *) %------------------------------------------------------------------------------