TSTP Solution File: NUM533+2 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n029.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 : Mon Jul 18 14:43:21 EDT 2022
% Result : Theorem 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n029.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 : Wed Jul 6 03:32:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 (* PROOF-FOUND *)
% 0.13/0.41 (* BEGIN-PROOF *)
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 1. (aElementOf0 T_0 (xA)) (-. (aElementOf0 T_0 (xA))) ### Axiom
% 0.13/0.41 2. (-. (aElementOf0 T_0 (xB))) (aElementOf0 T_0 (xB)) ### Axiom
% 0.13/0.41 3. ((aElementOf0 T_0 (xA)) => (aElementOf0 T_0 (xB))) (-. (aElementOf0 T_0 (xB))) (aElementOf0 T_0 (xA)) ### Imply 1 2
% 0.13/0.41 4. (All W0, ((aElementOf0 W0 (xA)) => (aElementOf0 W0 (xB)))) (aElementOf0 T_0 (xA)) (-. (aElementOf0 T_0 (xB))) ### All 3
% 0.13/0.41 5. (-. (aElementOf0 T_0 (xC))) (aElementOf0 T_0 (xC)) ### Axiom
% 0.13/0.41 6. ((aElementOf0 T_0 (xB)) => (aElementOf0 T_0 (xC))) (-. (aElementOf0 T_0 (xC))) (aElementOf0 T_0 (xA)) (All W0, ((aElementOf0 W0 (xA)) => (aElementOf0 W0 (xB)))) ### Imply 4 5
% 0.13/0.41 7. (All W0, ((aElementOf0 W0 (xB)) => (aElementOf0 W0 (xC)))) (All W0, ((aElementOf0 W0 (xA)) => (aElementOf0 W0 (xB)))) (aElementOf0 T_0 (xA)) (-. (aElementOf0 T_0 (xC))) ### All 6
% 0.13/0.41 8. (-. ((aElementOf0 T_0 (xA)) => (aElementOf0 T_0 (xC)))) (All W0, ((aElementOf0 W0 (xA)) => (aElementOf0 W0 (xB)))) (All W0, ((aElementOf0 W0 (xB)) => (aElementOf0 W0 (xC)))) ### NotImply 7
% 0.13/0.41 9. (-. (All W0, ((aElementOf0 W0 (xA)) => (aElementOf0 W0 (xC))))) (All W0, ((aElementOf0 W0 (xB)) => (aElementOf0 W0 (xC)))) (All W0, ((aElementOf0 W0 (xA)) => (aElementOf0 W0 (xB)))) ### NotAllEx 8
% 0.13/0.41 10. (-. (((All W0, ((aElementOf0 W0 (xA)) => (aElementOf0 W0 (xB)))) /\ ((aSubsetOf0 (xA) (xB)) /\ ((All W0, ((aElementOf0 W0 (xB)) => (aElementOf0 W0 (xC)))) /\ (aSubsetOf0 (xB) (xC))))) => ((All W0, ((aElementOf0 W0 (xA)) => (aElementOf0 W0 (xC)))) \/ (aSubsetOf0 (xA) (xC))))) ### ConjTree 9
% 0.13/0.41 % SZS output end Proof
% 0.13/0.41 (* END-PROOF *)
%------------------------------------------------------------------------------