TSTP Solution File: HAL003+3 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n026.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 : Sat Jul 16 12:46:02 EDT 2022
% Result : Theorem 0.56s 0.77s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n026.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 : Tue Jun 7 21:38:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.56/0.77 % SZS status Theorem
% 0.56/0.77 (* PROOF-FOUND *)
% 0.56/0.77 (* BEGIN-PROOF *)
% 0.56/0.77 % SZS output start Proof
% 0.56/0.77 1. (morphism (g) (b) (e)) (-. (morphism (g) (b) (e))) ### Axiom
% 0.56/0.77 2. (element T_0 (b)) (-. (element T_0 (b))) ### Axiom
% 0.56/0.77 3. (element T_1 (b)) (-. (element T_1 (b))) ### Axiom
% 0.56/0.77 4. (-. (element (subtract (b) T_0 T_1) (b))) (element T_1 (b)) (element T_0 (b)) ### Extension/test/subtract_in_domainctrp 2 3
% 0.56/0.77 5. ((apply (g) (subtract (b) T_0 T_1)) = T_2) ((apply (g) (subtract (b) T_0 T_1)) != T_2) ### Axiom
% 0.56/0.77 6. (-. ((element (subtract (b) T_0 T_1) (b)) /\ ((apply (g) (subtract (b) T_0 T_1)) = T_2))) ((apply (g) (subtract (b) T_0 T_1)) = T_2) (element T_0 (b)) (element T_1 (b)) ### NotAnd 4 5
% 0.56/0.77 7. (-. (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = T_2)))) (element T_1 (b)) (element T_0 (b)) ((apply (g) (subtract (b) T_0 T_1)) = T_2) ### NotExists 6
% 0.56/0.77 8. (element T_2 (e)) (-. (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = T_2)))) ### Extension/test/lemma12 7
% 0.56/0.77 9. (-. ((element T_2 (e)) => (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = T_2))))) ### NotImply 8
% 0.56/0.77 10. (-. (All ElCod, ((element ElCod (e)) => (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = ElCod)))))) ### NotAllEx 9
% 0.56/0.77 11. (-. (surjection (g))) (surjection (g)) ### Axiom
% 0.56/0.77 12. (((morphism (g) (b) (e)) /\ (All ElCod, ((element ElCod (e)) => (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = ElCod)))))) => (surjection (g))) (-. (surjection (g))) (morphism (g) (b) (e)) ### DisjTree 1 10 11
% 0.56/0.77 13. (All Cod, (((morphism (g) (b) Cod) /\ (All ElCod, ((element ElCod Cod) => (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = ElCod)))))) => (surjection (g)))) (morphism (g) (b) (e)) (-. (surjection (g))) ### All 12
% 0.56/0.77 14. (All Dom, (All Cod, (((morphism (g) Dom Cod) /\ (All ElCod, ((element ElCod Cod) => (Ex ElDom, ((element ElDom Dom) /\ ((apply (g) ElDom) = ElCod)))))) => (surjection (g))))) (-. (surjection (g))) (morphism (g) (b) (e)) ### All 13
% 0.56/0.77 15. (All Morphism, (All Dom, (All Cod, (((morphism Morphism Dom Cod) /\ (All ElCod, ((element ElCod Cod) => (Ex ElDom, ((element ElDom Dom) /\ ((apply Morphism ElDom) = ElCod)))))) => (surjection Morphism))))) (morphism (g) (b) (e)) (-. (surjection (g))) ### All 14
% 0.56/0.77 % SZS output end Proof
% 0.56/0.77 (* END-PROOF *)
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