%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET590+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n004.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 05:42:29 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 : SET590+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n004.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jul 9 23:07:07 EDT 2022 % 0.12/0.34 % 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. (member T_0 (difference T_1 T_2)) (-. (member T_0 (difference T_1 T_2))) ### Axiom % 0.19/0.40 2. (-. (member T_0 T_1)) (member T_0 T_1) ### Axiom % 0.19/0.40 3. ((member T_0 T_1) /\ (-. (member T_0 T_2))) (-. (member T_0 T_1)) ### And 2 % 0.19/0.40 4. ((member T_0 (difference T_1 T_2)) <=> ((member T_0 T_1) /\ (-. (member T_0 T_2)))) (-. (member T_0 T_1)) (member T_0 (difference T_1 T_2)) ### Equiv 1 3 % 0.19/0.40 5. (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) (member T_0 (difference T_1 T_2)) (-. (member T_0 T_1)) ### All 4 % 0.19/0.40 6. (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) (-. (member T_0 T_1)) (member T_0 (difference T_1 T_2)) ### All 5 % 0.19/0.40 7. (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) (member T_0 (difference T_1 T_2)) (-. (member T_0 T_1)) ### All 6 % 0.19/0.40 8. (-. ((member T_0 (difference T_1 T_2)) => (member T_0 T_1))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### NotImply 7 % 0.19/0.40 9. (-. (All D, ((member D (difference T_1 T_2)) => (member D T_1)))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### NotAllEx 8 % 0.19/0.40 10. (-. (subset (difference T_1 T_2) T_1)) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### Definition-Pseudo(subset) 9 % 0.19/0.40 11. (-. (All C, (subset (difference T_1 C) T_1))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### NotAllEx 10 % 0.19/0.40 12. (-. (All B, (All C, (subset (difference B C) B)))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### NotAllEx 11 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------