TSTP Solution File: KRS192+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS192+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Sun Jul 17 03:32:09 EDT 2022
% Result : Theorem 2.33s 2.50s
% Output : Proof 2.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS192+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 17:20:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.33/2.50 % SZS status Theorem
% 2.33/2.50 (* PROOF-FOUND *)
% 2.33/2.50 (* BEGIN-PROOF *)
% 2.33/2.50 % SZS output start Proof
% 2.33/2.50 1. (status T_0 T_1 (wth)) (-. (status T_0 T_1 (wth))) ### Axiom
% 2.33/2.50 2. (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (All I1, ((model I1 T_0) => (model I1 T_1))) ### Axiom
% 2.33/2.50 3. ((Ex I1, (model I1 T_0)) /\ ((All I1, ((model I1 T_0) => (model I1 T_1))) /\ ((Ex I3, ((model I3 T_1) /\ (-. (model I3 T_0)))) /\ (Ex I4, (-. (model I4 T_1)))))) (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) ### ConjTree 2
% 2.33/2.50 4. (((Ex I1, (model I1 T_0)) /\ ((All I1, ((model I1 T_0) => (model I1 T_1))) /\ ((Ex I3, ((model I3 T_1) /\ (-. (model I3 T_0)))) /\ (Ex I4, (-. (model I4 T_1)))))) <=> (status T_0 T_1 (wth))) (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (status T_0 T_1 (wth)) ### Equiv 1 3
% 2.33/2.50 5. (All C, (((Ex I1, (model I1 T_0)) /\ ((All I1, ((model I1 T_0) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 T_0)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status T_0 C (wth)))) (status T_0 T_1 (wth)) (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) ### All 4
% 2.33/2.50 6. (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (status T_0 T_1 (wth)) ### All 5
% 2.33/2.50 7. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm)) ### Axiom
% 2.33/2.50 8. ((All I1, ((model I1 T_0) => (model I1 T_1))) <=> (status T_0 T_1 (thm))) (-. (status T_0 T_1 (thm))) (status T_0 T_1 (wth)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) ### Equiv 6 7
% 2.33/2.50 9. (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) (status T_0 T_1 (wth)) (-. (status T_0 T_1 (thm))) ### All 8
% 2.33/2.50 10. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (status T_0 T_1 (thm))) (status T_0 T_1 (wth)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) ### All 9
% 2.33/2.50 11. (-. ((status T_0 T_1 (wth)) => (status T_0 T_1 (thm)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotImply 10
% 2.33/2.50 12. (-. (All C, ((status T_0 C (wth)) => (status T_0 C (thm))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) ### NotAllEx 11
% 2.33/2.50 13. (-. (All Ax, (All C, ((status Ax C (wth)) => (status Ax C (thm)))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotAllEx 12
% 2.33/2.50 14. (-. (isa (wth) (thm))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((model I3 C) /\ (-. (model I3 Ax)))) /\ (Ex I4, (-. (model I4 C)))))) <=> (status Ax C (wth))))) ### Definition-Pseudo(isa) 13
% 2.33/2.50 % SZS output end Proof
% 2.33/2.50 (* END-PROOF *)
%------------------------------------------------------------------------------