%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU167+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 14:48:53 EDT 2022 % Result : Theorem 5.43s 5.62s % Output : Proof 5.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SEU167+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.32 % Computer : n027.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.32 % CPULimit : 300 % 0.13/0.32 % WCLimit : 600 % 0.13/0.32 % DateTime : Sat Jun 18 20:08:53 EDT 2022 % 0.13/0.32 % CPUTime : % 5.43/5.62 % SZS status Theorem % 5.43/5.62 (* PROOF-FOUND *) % 5.43/5.62 (* BEGIN-PROOF *) % 5.43/5.62 % SZS output start Proof % 5.43/5.62 1. (subset T_0 T_1) (-. (subset T_0 T_1)) ### Axiom % 5.43/5.62 2. (subset T_2 T_3) (-. (subset T_2 T_3)) ### Axiom % 5.43/5.62 3. (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_0))) (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_0)) ### Axiom % 5.43/5.62 4. ((subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_0)) /\ (subset (cartesian_product2 T_0 T_2) (cartesian_product2 T_0 T_3))) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_0))) ### And 3 % 5.43/5.62 5. ((subset T_2 T_3) => ((subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_0)) /\ (subset (cartesian_product2 T_0 T_2) (cartesian_product2 T_0 T_3)))) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_0))) (subset T_2 T_3) ### Imply 2 4 % 5.43/5.62 6. (All C, ((subset T_2 T_3) => ((subset (cartesian_product2 T_2 C) (cartesian_product2 T_3 C)) /\ (subset (cartesian_product2 C T_2) (cartesian_product2 C T_3))))) (subset T_2 T_3) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_0))) ### All 5 % 5.43/5.62 7. (All B, (All C, ((subset T_2 B) => ((subset (cartesian_product2 T_2 C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C T_2) (cartesian_product2 C B)))))) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_0))) (subset T_2 T_3) ### All 6 % 5.43/5.62 8. (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) (subset T_2 T_3) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_0))) ### All 7 % 5.43/5.62 9. ((cartesian_product2 T_3 T_1) != (cartesian_product2 T_3 T_1)) ### Refl(=) % 5.43/5.62 10. (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_1))) (subset (cartesian_product2 T_3 T_0) (cartesian_product2 T_3 T_1)) (subset T_2 T_3) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) ### Trans 8 9 % 5.43/5.62 11. ((subset (cartesian_product2 T_0 T_3) (cartesian_product2 T_1 T_3)) /\ (subset (cartesian_product2 T_3 T_0) (cartesian_product2 T_3 T_1))) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) (subset T_2 T_3) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_1))) ### And 10 % 5.43/5.62 12. ((subset T_0 T_1) => ((subset (cartesian_product2 T_0 T_3) (cartesian_product2 T_1 T_3)) /\ (subset (cartesian_product2 T_3 T_0) (cartesian_product2 T_3 T_1)))) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_1))) (subset T_2 T_3) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) (subset T_0 T_1) ### Imply 1 11 % 5.43/5.62 13. (All C, ((subset T_0 T_1) => ((subset (cartesian_product2 T_0 C) (cartesian_product2 T_1 C)) /\ (subset (cartesian_product2 C T_0) (cartesian_product2 C T_1))))) (subset T_0 T_1) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) (subset T_2 T_3) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_1))) ### All 12 % 5.43/5.62 14. (All B, (All C, ((subset T_0 B) => ((subset (cartesian_product2 T_0 C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C T_0) (cartesian_product2 C B)))))) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_1))) (subset T_2 T_3) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) (subset T_0 T_1) ### All 13 % 5.43/5.62 15. (subset T_0 T_1) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) (subset T_2 T_3) (-. (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_1))) ### All 14 % 5.43/5.62 16. (-. (((subset T_2 T_3) /\ (subset T_0 T_1)) => (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 T_1)))) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) ### ConjTree 15 % 5.43/5.62 17. (-. (All D, (((subset T_2 T_3) /\ (subset T_0 D)) => (subset (cartesian_product2 T_2 T_0) (cartesian_product2 T_3 D))))) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) ### NotAllEx 16 % 5.43/5.62 18. (-. (All C, (All D, (((subset T_2 T_3) /\ (subset C D)) => (subset (cartesian_product2 T_2 C) (cartesian_product2 T_3 D)))))) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) ### NotAllEx 17 % 5.43/5.62 19. (-. (All B, (All C, (All D, (((subset T_2 B) /\ (subset C D)) => (subset (cartesian_product2 T_2 C) (cartesian_product2 B D))))))) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) ### NotAllEx 18 % 5.43/5.62 20. (-. (All A, (All B, (All C, (All D, (((subset A B) /\ (subset C D)) => (subset (cartesian_product2 A C) (cartesian_product2 B D)))))))) (All A, (All B, (All C, ((subset A B) => ((subset (cartesian_product2 A C) (cartesian_product2 B C)) /\ (subset (cartesian_product2 C A) (cartesian_product2 C B))))))) ### NotAllEx 19 % 5.43/5.62 % SZS output end Proof % 5.43/5.62 (* END-PROOF *) %------------------------------------------------------------------------------