TSTP Solution File: LCL527+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL527+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n021.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 14:51:34 EDT 2022
% Result : Theorem 0.21s 0.46s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL527+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 3 14:22:16 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 % SZS status Theorem
% 0.21/0.46 (* PROOF-FOUND *)
% 0.21/0.46 (* BEGIN-PROOF *)
% 0.21/0.46 % SZS output start Proof
% 0.21/0.46 1. (is_a_theorem T_0) (-. (is_a_theorem T_0)) ### Axiom
% 0.21/0.46 2. (is_a_theorem T_1) (-. (is_a_theorem T_1)) ### Axiom
% 0.21/0.46 3. (-. (is_a_theorem (implies T_1 (implies T_0 (and T_1 T_0))))) (is_a_theorem (implies T_1 (implies T_0 (and T_1 T_0)))) ### Axiom
% 0.21/0.46 4. (All Y, (is_a_theorem (implies T_1 (implies Y (and T_1 Y))))) (-. (is_a_theorem (implies T_1 (implies T_0 (and T_1 T_0))))) ### All 3
% 0.21/0.46 5. (All X, (All Y, (is_a_theorem (implies X (implies Y (and X Y)))))) (-. (is_a_theorem (implies T_1 (implies T_0 (and T_1 T_0))))) ### All 4
% 0.21/0.46 6. (-. (is_a_theorem (implies T_0 (and T_1 T_0)))) (is_a_theorem (implies T_0 (and T_1 T_0))) ### Axiom
% 0.21/0.46 7. (((is_a_theorem T_1) /\ (is_a_theorem (implies T_1 (implies T_0 (and T_1 T_0))))) => (is_a_theorem (implies T_0 (and T_1 T_0)))) (-. (is_a_theorem (implies T_0 (and T_1 T_0)))) (All X, (All Y, (is_a_theorem (implies X (implies Y (and X Y)))))) (is_a_theorem T_1) ### DisjTree 2 5 6
% 0.21/0.46 8. (All Y, (((is_a_theorem T_1) /\ (is_a_theorem (implies T_1 Y))) => (is_a_theorem Y))) (is_a_theorem T_1) (All X, (All Y, (is_a_theorem (implies X (implies Y (and X Y)))))) (-. (is_a_theorem (implies T_0 (and T_1 T_0)))) ### All 7
% 0.21/0.46 9. (-. (is_a_theorem (and T_1 T_0))) (is_a_theorem (and T_1 T_0)) ### Axiom
% 0.21/0.46 10. (((is_a_theorem T_0) /\ (is_a_theorem (implies T_0 (and T_1 T_0)))) => (is_a_theorem (and T_1 T_0))) (-. (is_a_theorem (and T_1 T_0))) (All X, (All Y, (is_a_theorem (implies X (implies Y (and X Y)))))) (is_a_theorem T_1) (All Y, (((is_a_theorem T_1) /\ (is_a_theorem (implies T_1 Y))) => (is_a_theorem Y))) (is_a_theorem T_0) ### DisjTree 1 8 9
% 0.21/0.46 11. (All Y, (((is_a_theorem T_0) /\ (is_a_theorem (implies T_0 Y))) => (is_a_theorem Y))) (is_a_theorem T_0) (All Y, (((is_a_theorem T_1) /\ (is_a_theorem (implies T_1 Y))) => (is_a_theorem Y))) (is_a_theorem T_1) (All X, (All Y, (is_a_theorem (implies X (implies Y (and X Y)))))) (-. (is_a_theorem (and T_1 T_0))) ### All 10
% 0.21/0.46 12. (All X, (All Y, (((is_a_theorem X) /\ (is_a_theorem (implies X Y))) => (is_a_theorem Y)))) (-. (is_a_theorem (and T_1 T_0))) (All X, (All Y, (is_a_theorem (implies X (implies Y (and X Y)))))) (is_a_theorem T_1) (is_a_theorem T_0) (All Y, (((is_a_theorem T_0) /\ (is_a_theorem (implies T_0 Y))) => (is_a_theorem Y))) ### All 11
% 0.21/0.46 13. (is_a_theorem T_0) (is_a_theorem T_1) (All X, (All Y, (is_a_theorem (implies X (implies Y (and X Y)))))) (-. (is_a_theorem (and T_1 T_0))) (All X, (All Y, (((is_a_theorem X) /\ (is_a_theorem (implies X Y))) => (is_a_theorem Y)))) ### All 12
% 0.21/0.46 14. (modus_ponens) (-. (is_a_theorem (and T_1 T_0))) (All X, (All Y, (is_a_theorem (implies X (implies Y (and X Y)))))) (is_a_theorem T_1) (is_a_theorem T_0) ### Definition-Pseudo(modus_ponens) 13
% 0.21/0.46 15. (and_3) (is_a_theorem T_0) (is_a_theorem T_1) (-. (is_a_theorem (and T_1 T_0))) (modus_ponens) ### Definition-Pseudo(and_3) 14
% 0.21/0.46 16. (-. (((is_a_theorem T_1) /\ (is_a_theorem T_0)) => (is_a_theorem (and T_1 T_0)))) (modus_ponens) (and_3) ### ConjTree 15
% 0.21/0.46 17. (-. (All Y, (((is_a_theorem T_1) /\ (is_a_theorem Y)) => (is_a_theorem (and T_1 Y))))) (and_3) (modus_ponens) ### NotAllEx 16
% 0.21/0.46 18. (-. (All X, (All Y, (((is_a_theorem X) /\ (is_a_theorem Y)) => (is_a_theorem (and X Y)))))) (modus_ponens) (and_3) ### NotAllEx 17
% 0.21/0.46 19. (-. (adjunction)) (and_3) (modus_ponens) ### Definition-Pseudo(adjunction) 18
% 0.21/0.46 % SZS output end Proof
% 0.21/0.46 (* END-PROOF *)
%------------------------------------------------------------------------------