TSTP Solution File: SET604+3 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n022.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 05:42:39 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 14:10:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 (* PROOF-FOUND *)
% 0.19/0.41 (* BEGIN-PROOF *)
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 1. (-. (subset (empty_set) T_0)) (subset (empty_set) T_0) ### Axiom
% 0.19/0.41 2. (All B, (subset (empty_set) B)) (-. (subset (empty_set) T_0)) ### All 1
% 0.19/0.41 3. ((difference (empty_set) T_0) != (empty_set)) ((difference (empty_set) T_0) = (empty_set)) ### Axiom
% 0.19/0.41 4. (((difference (empty_set) T_0) = (empty_set)) <=> (subset (empty_set) T_0)) ((difference (empty_set) T_0) != (empty_set)) (All B, (subset (empty_set) B)) ### Equiv 2 3
% 0.19/0.41 5. (All C, (((difference (empty_set) C) = (empty_set)) <=> (subset (empty_set) C))) (All B, (subset (empty_set) B)) ((difference (empty_set) T_0) != (empty_set)) ### All 4
% 0.19/0.41 6. (All B, (All C, (((difference B C) = (empty_set)) <=> (subset B C)))) ((difference (empty_set) T_0) != (empty_set)) (All B, (subset (empty_set) B)) ### All 5
% 0.19/0.41 7. (-. (All B, ((difference (empty_set) B) = (empty_set)))) (All B, (subset (empty_set) B)) (All B, (All C, (((difference B C) = (empty_set)) <=> (subset B C)))) ### NotAllEx 6
% 0.19/0.41 % SZS output end Proof
% 0.19/0.41 (* END-PROOF *)
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