TSTP Solution File: SEU080+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SEU080+1 : 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 : n024.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 14:48:14 EDT 2022
% Result : Theorem 2.83s 3.12s
% Output : Proof 2.83s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.21 % Problem : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.22 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.42 % Computer : n024.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8042.1875MB
% 0.12/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.42 % CPULimit : 300
% 0.12/0.42 % WCLimit : 600
% 0.12/0.42 % DateTime : Mon Jun 20 02:01:32 EDT 2022
% 0.12/0.42 % CPUTime :
% 2.83/3.12 % SZS status Theorem
% 2.83/3.12 (* PROOF-FOUND *)
% 2.83/3.12 (* BEGIN-PROOF *)
% 2.83/3.12 % SZS output start Proof
% 2.83/3.12 1. (relation T_0) (-. (relation T_0)) ### Axiom
% 2.83/3.12 2. (function T_0) (-. (function T_0)) ### Axiom
% 2.83/3.12 3. ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) ((relation_inverse_image T_0 T_1) != (relation_inverse_image T_0 T_2)) ### Axiom
% 2.83/3.12 4. (-. (subset (relation_inverse_image T_0 T_1) (relation_inverse_image T_0 T_2))) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) ### Refl(subset) 3
% 2.83/3.12 5. (subset T_1 (relation_rng T_0)) (-. (subset T_1 (relation_rng T_0))) ### Axiom
% 2.83/3.12 6. (relation T_0) (-. (relation T_0)) ### Axiom
% 2.83/3.12 7. (function T_0) (-. (function T_0)) ### Axiom
% 2.83/3.12 8. ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) ((relation_inverse_image T_0 T_2) != (relation_inverse_image T_0 T_1)) ### Sym(=)
% 2.83/3.12 9. (-. (subset (relation_inverse_image T_0 T_2) (relation_inverse_image T_0 T_1))) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) ### Refl(subset) 8
% 2.83/3.12 10. (subset T_2 (relation_rng T_0)) (-. (subset T_2 (relation_rng T_0))) ### Axiom
% 2.83/3.12 11. (subset T_2 T_1) (-. (subset T_2 T_1)) ### Axiom
% 2.83/3.12 12. (subset T_1 T_2) (-. (subset T_1 T_2)) ### Axiom
% 2.83/3.12 13. (-. ((subset T_2 T_1) /\ (subset T_1 T_2))) (subset T_1 T_2) (subset T_2 T_1) ### NotAnd 11 12
% 2.83/3.12 14. (T_1 != T_2) (T_2 = T_1) ### Sym(=)
% 2.83/3.12 15. ((T_2 = T_1) <=> ((subset T_2 T_1) /\ (subset T_1 T_2))) (T_1 != T_2) (subset T_2 T_1) (subset T_1 T_2) ### Equiv 13 14
% 2.83/3.12 16. (All B, ((T_2 = B) <=> ((subset T_2 B) /\ (subset B T_2)))) (subset T_1 T_2) (subset T_2 T_1) (T_1 != T_2) ### All 15
% 2.83/3.12 17. (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_1 != T_2) (subset T_2 T_1) (subset T_1 T_2) ### All 16
% 2.83/3.12 18. (((relation T_0) /\ (function T_0)) => (((subset (relation_inverse_image T_0 T_2) (relation_inverse_image T_0 T_1)) /\ (subset T_2 (relation_rng T_0))) => (subset T_2 T_1))) (subset T_1 T_2) (T_1 != T_2) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (subset T_2 (relation_rng T_0)) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) (function T_0) (relation T_0) ### DisjTree 6 7 9 10 17
% 2.83/3.12 19. (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C T_2) (relation_inverse_image C T_1)) /\ (subset T_2 (relation_rng C))) => (subset T_2 T_1)))) (relation T_0) (function T_0) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) (subset T_2 (relation_rng T_0)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_1 != T_2) (subset T_1 T_2) ### All 18
% 2.83/3.12 20. (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C T_2) (relation_inverse_image C B)) /\ (subset T_2 (relation_rng C))) => (subset T_2 B))))) (subset T_1 T_2) (T_1 != T_2) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (subset T_2 (relation_rng T_0)) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) (function T_0) (relation T_0) ### All 19
% 2.83/3.12 21. (((relation T_0) /\ (function T_0)) => (((subset (relation_inverse_image T_0 T_1) (relation_inverse_image T_0 T_2)) /\ (subset T_1 (relation_rng T_0))) => (subset T_1 T_2))) (subset T_2 (relation_rng T_0)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_1 != T_2) (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C T_2) (relation_inverse_image C B)) /\ (subset T_2 (relation_rng C))) => (subset T_2 B))))) (subset T_1 (relation_rng T_0)) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) (function T_0) (relation T_0) ### DisjTree 1 2 4 5 20
% 2.83/3.12 22. (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C T_1) (relation_inverse_image C T_2)) /\ (subset T_1 (relation_rng C))) => (subset T_1 T_2)))) (relation T_0) (function T_0) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) (subset T_1 (relation_rng T_0)) (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C T_2) (relation_inverse_image C B)) /\ (subset T_2 (relation_rng C))) => (subset T_2 B))))) (T_1 != T_2) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (subset T_2 (relation_rng T_0)) ### All 21
% 2.83/3.12 23. (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C T_1) (relation_inverse_image C B)) /\ (subset T_1 (relation_rng C))) => (subset T_1 B))))) (subset T_2 (relation_rng T_0)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_1 != T_2) (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C T_2) (relation_inverse_image C B)) /\ (subset T_2 (relation_rng C))) => (subset T_2 B))))) (subset T_1 (relation_rng T_0)) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) (function T_0) (relation T_0) ### All 22
% 2.83/3.12 24. (All A, (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C A) (relation_inverse_image C B)) /\ (subset A (relation_rng C))) => (subset A B)))))) (relation T_0) (function T_0) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) (subset T_1 (relation_rng T_0)) (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C T_2) (relation_inverse_image C B)) /\ (subset T_2 (relation_rng C))) => (subset T_2 B))))) (T_1 != T_2) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (subset T_2 (relation_rng T_0)) ### All 23
% 2.83/3.12 25. (subset T_2 (relation_rng T_0)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_1 != T_2) (subset T_1 (relation_rng T_0)) ((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) (function T_0) (relation T_0) (All A, (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C A) (relation_inverse_image C B)) /\ (subset A (relation_rng C))) => (subset A B)))))) ### All 24
% 2.83/3.12 26. (-. (((relation T_0) /\ (function T_0)) => ((((relation_inverse_image T_0 T_1) = (relation_inverse_image T_0 T_2)) /\ ((subset T_1 (relation_rng T_0)) /\ (subset T_2 (relation_rng T_0)))) => (T_1 = T_2)))) (All A, (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C A) (relation_inverse_image C B)) /\ (subset A (relation_rng C))) => (subset A B)))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### ConjTree 25
% 2.83/3.12 27. (-. (All C, (((relation C) /\ (function C)) => ((((relation_inverse_image C T_1) = (relation_inverse_image C T_2)) /\ ((subset T_1 (relation_rng C)) /\ (subset T_2 (relation_rng C)))) => (T_1 = T_2))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (All A, (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C A) (relation_inverse_image C B)) /\ (subset A (relation_rng C))) => (subset A B)))))) ### NotAllEx 26
% 2.83/3.12 28. (-. (All B, (All C, (((relation C) /\ (function C)) => ((((relation_inverse_image C T_1) = (relation_inverse_image C B)) /\ ((subset T_1 (relation_rng C)) /\ (subset B (relation_rng C)))) => (T_1 = B)))))) (All A, (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C A) (relation_inverse_image C B)) /\ (subset A (relation_rng C))) => (subset A B)))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotAllEx 27
% 2.83/3.12 29. (-. (All A, (All B, (All C, (((relation C) /\ (function C)) => ((((relation_inverse_image C A) = (relation_inverse_image C B)) /\ ((subset A (relation_rng C)) /\ (subset B (relation_rng C)))) => (A = B))))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (All A, (All B, (All C, (((relation C) /\ (function C)) => (((subset (relation_inverse_image C A) (relation_inverse_image C B)) /\ (subset A (relation_rng C))) => (subset A B)))))) ### NotAllEx 28
% 2.83/3.12 % SZS output end Proof
% 2.83/3.12 (* END-PROOF *)
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