%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV383+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n020.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 : Wed Jul 20 21:51:10 EDT 2022 % Result : Theorem 0.84s 1.05s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWV383+1 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n020.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 : Wed Jun 15 23:30:19 EDT 2022 % 0.13/0.34 % CPUTime : % 0.84/1.05 % SZS status Theorem % 0.84/1.05 (* PROOF-FOUND *) % 0.84/1.05 (* BEGIN-PROOF *) % 0.84/1.05 % SZS output start Proof % 0.84/1.05 1. (-. (check_cpq (triple T_0 T_1 T_2))) (check_cpq (triple T_0 T_1 T_2)) ### Axiom % 0.84/1.05 2. (-. (-. (check_cpq (triple T_0 T_1 T_2)))) (-. (check_cpq (triple T_0 T_1 T_2))) ### NotNot 1 % 0.84/1.05 3. (-. ((-. (check_cpq (triple T_0 T_1 T_2))) \/ (-. (ok (triple T_0 T_1 T_2))))) (-. (check_cpq (triple T_0 T_1 T_2))) ### NotOr 2 % 0.84/1.05 4. (-. (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 T_2) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z))))))))) (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 T_2) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z)))))))) ### Axiom % 0.84/1.05 5. (((-. (check_cpq (triple T_0 T_1 T_2))) \/ (-. (ok (triple T_0 T_1 T_2)))) => (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 T_2) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z))))))))) (-. (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 T_2) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z))))))))) (-. (check_cpq (triple T_0 T_1 T_2))) ### Imply 3 4 % 0.84/1.05 6. (All W, (((-. (check_cpq (triple T_0 T_1 W))) \/ (-. (ok (triple T_0 T_1 W)))) => (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z)))))))))) (-. (check_cpq (triple T_0 T_1 T_2))) (-. (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 T_2) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z))))))))) ### All 5 % 0.84/1.05 7. (All V, (All W, (((-. (check_cpq (triple T_0 V W))) \/ (-. (ok (triple T_0 V W)))) => (All X, (All Y, (All Z, ((succ_cpq (triple T_0 V W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z))))))))))) (-. (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 T_2) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z))))))))) (-. (check_cpq (triple T_0 T_1 T_2))) ### All 6 % 0.84/1.05 8. (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => (All X, (All Y, (All Z, ((succ_cpq (triple U V W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z)))))))))))) (-. (check_cpq (triple T_0 T_1 T_2))) (-. (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 T_2) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z))))))))) ### All 7 % 0.84/1.05 9. (-. ((-. (check_cpq (triple T_0 T_1 T_2))) => (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 T_2) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z)))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => (All X, (All Y, (All Z, ((succ_cpq (triple U V W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z)))))))))))) ### NotImply 8 % 0.84/1.05 10. (-. (All W, ((-. (check_cpq (triple T_0 T_1 W))) => (All X, (All Y, (All Z, ((succ_cpq (triple T_0 T_1 W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z))))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => (All X, (All Y, (All Z, ((succ_cpq (triple U V W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z)))))))))))) ### NotAllEx 9 % 0.84/1.05 11. (-. (All V, (All W, ((-. (check_cpq (triple T_0 V W))) => (All X, (All Y, (All Z, ((succ_cpq (triple T_0 V W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z)))))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => (All X, (All Y, (All Z, ((succ_cpq (triple U V W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z)))))))))))) ### NotAllEx 10 % 0.84/1.05 12. (-. (All U, (All V, (All W, ((-. (check_cpq (triple U V W))) => (All X, (All Y, (All Z, ((succ_cpq (triple U V W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z))))))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => (All X, (All Y, (All Z, ((succ_cpq (triple U V W) (triple X Y Z)) => ((-. (ok (triple X Y Z))) \/ (-. (check_cpq (triple X Y Z)))))))))))) ### NotAllEx 11 % 0.84/1.05 % SZS output end Proof % 0.84/1.05 (* END-PROOF *) %------------------------------------------------------------------------------