TSTP Solution File: SEU198+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SEU198+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 : n016.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 14:49:08 EDT 2022
% Result : Theorem 2.68s 2.87s
% Output : Proof 2.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU198+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n016.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 21:44:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.68/2.87 % SZS status Theorem
% 2.68/2.87 (* PROOF-FOUND *)
% 2.68/2.87 (* BEGIN-PROOF *)
% 2.68/2.87 % SZS output start Proof
% 2.68/2.87 1. (relation T_0) (-. (relation T_0)) ### Axiom
% 2.68/2.87 2. (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) (-. (in T_1 (relation_rng (relation_rng_restriction T_2 T_0)))) ### Axiom
% 2.68/2.87 3. (-. (in T_1 T_2)) (in T_1 T_2) ### Axiom
% 2.68/2.87 4. ((in T_1 T_2) /\ (in T_1 (relation_rng T_0))) (-. (in T_1 T_2)) ### And 3
% 2.68/2.87 5. ((in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) <=> ((in T_1 T_2) /\ (in T_1 (relation_rng T_0)))) (-. (in T_1 T_2)) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) ### Equiv 2 4
% 2.68/2.87 6. ((relation T_0) => ((in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) <=> ((in T_1 T_2) /\ (in T_1 (relation_rng T_0))))) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) (-. (in T_1 T_2)) (relation T_0) ### Imply 1 5
% 2.68/2.87 7. (All C, ((relation C) => ((in T_1 (relation_rng (relation_rng_restriction T_2 C))) <=> ((in T_1 T_2) /\ (in T_1 (relation_rng C)))))) (relation T_0) (-. (in T_1 T_2)) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) ### All 6
% 2.68/2.87 8. (All B, (All C, ((relation C) => ((in T_1 (relation_rng (relation_rng_restriction B C))) <=> ((in T_1 B) /\ (in T_1 (relation_rng C))))))) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) (-. (in T_1 T_2)) (relation T_0) ### All 7
% 2.68/2.87 9. (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) (relation T_0) (-. (in T_1 T_2)) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) ### All 8
% 2.68/2.87 10. (-. ((in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) => (in T_1 T_2))) (relation T_0) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### NotImply 9
% 2.68/2.87 11. (-. (All C, ((in C (relation_rng (relation_rng_restriction T_2 T_0))) => (in C T_2)))) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) (relation T_0) ### NotAllEx 10
% 2.68/2.87 12. (-. (subset (relation_rng (relation_rng_restriction T_2 T_0)) T_2)) (relation T_0) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### Definition-Pseudo(subset) 11
% 2.68/2.87 13. (-. ((relation T_0) => (subset (relation_rng (relation_rng_restriction T_2 T_0)) T_2))) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### NotImply 12
% 2.68/2.87 14. (-. (All B, ((relation B) => (subset (relation_rng (relation_rng_restriction T_2 B)) T_2)))) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### NotAllEx 13
% 2.68/2.87 15. (-. (All A, (All B, ((relation B) => (subset (relation_rng (relation_rng_restriction A B)) A))))) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### NotAllEx 14
% 2.68/2.87 % SZS output end Proof
% 2.68/2.87 (* END-PROOF *)
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