%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n021.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 4.45s 4.64s % Output : Proof 4.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0. % 0.13/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n021.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 : Sun Jun 19 07:06:32 EDT 2022 % 0.13/0.34 % CPUTime : % 4.45/4.64 % SZS status Theorem % 4.45/4.64 (* PROOF-FOUND *) % 4.45/4.64 (* BEGIN-PROOF *) % 4.45/4.64 % SZS output start Proof % 4.45/4.64 1. (subset T_0 T_1) (-. (subset T_0 T_1)) ### Axiom % 4.45/4.64 2. (subset T_2 T_3) (-. (subset T_2 T_3)) ### Axiom % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 9. ((cartesian_product2 T_3 T_1) != (cartesian_product2 T_3 T_1)) ### Refl(=) % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 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 % 4.45/4.64 % SZS output end Proof % 4.45/4.64 (* END-PROOF *) %------------------------------------------------------------------------------