%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU139+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 : n027.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 : Tue Jul 19 14:48:35 EDT 2022 % Result : Theorem 0.19s 0.40s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU139+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n027.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 : Sun Jun 19 13:53:39 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.40 % SZS status Theorem % 0.19/0.40 (* PROOF-FOUND *) % 0.19/0.40 (* BEGIN-PROOF *) % 0.19/0.40 % SZS output start Proof % 0.19/0.40 1. (subset T_0 T_1) (-. (subset T_0 T_1)) ### Axiom % 0.19/0.40 2. (subset T_1 T_0) (-. (subset T_1 T_0)) ### Axiom % 0.19/0.40 3. (-. ((subset T_0 T_1) /\ (subset T_1 T_0))) (subset T_1 T_0) (subset T_0 T_1) ### NotAnd 1 2 % 0.19/0.40 4. (T_0 != T_1) (T_0 = T_1) ### Axiom % 0.19/0.40 5. ((T_0 = T_1) <=> ((subset T_0 T_1) /\ (subset T_1 T_0))) (T_0 != T_1) (subset T_0 T_1) (subset T_1 T_0) ### Equiv 3 4 % 0.19/0.40 6. (All B, ((T_0 = B) <=> ((subset T_0 B) /\ (subset B T_0)))) (subset T_1 T_0) (subset T_0 T_1) (T_0 != T_1) ### All 5 % 0.19/0.40 7. (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_0 != T_1) (subset T_0 T_1) (subset T_1 T_0) ### All 6 % 0.19/0.40 8. ((subset T_0 T_1) /\ (T_0 != T_1)) (subset T_1 T_0) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### And 7 % 0.19/0.40 9. (proper_subset T_0 T_1) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (subset T_1 T_0) ### Definition-Pseudo(proper_subset) 8 % 0.19/0.40 10. ((subset T_1 T_0) /\ (proper_subset T_0 T_1)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### And 9 % 0.19/0.40 11. (-. (-. ((subset T_1 T_0) /\ (proper_subset T_0 T_1)))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotNot 10 % 0.19/0.40 12. (-. (All B, (-. ((subset T_1 B) /\ (proper_subset B T_1))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotAllEx 11 % 0.19/0.40 13. (-. (All A, (All B, (-. ((subset A B) /\ (proper_subset B A)))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotAllEx 12 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------