TSTP Solution File: SWC103+1 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SWC103+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n016.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 22:06:35 EDT 2022

% Result   : Theorem 0.38s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC103+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n016.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 : Sun Jun 12 07:39:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.38/0.56  % SZS status Theorem
% 0.38/0.56  (* PROOF-FOUND *)
% 0.38/0.56  (* BEGIN-PROOF *)
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  1. (T_0 = T_1) (T_0 != T_1)   ### Axiom
% 0.38/0.56  2. ((nil) != (nil))   ### NotEqual
% 0.38/0.56  3. (-. (neq T_1 (nil))) (neq T_0 (nil)) (T_0 = T_1)   ### P-NotP 1 2
% 0.38/0.56  4. (T_2 = T_3) (T_3 != T_2)   ### Sym(=)
% 0.38/0.56  5. (-. (neq T_2 (nil))) (neq T_3 (nil)) (T_2 = T_3)   ### P-NotP 4 2
% 0.38/0.56  6. (-. (-. (neq T_3 (nil)))) (T_2 = T_3) (-. (neq T_2 (nil)))   ### NotNot 5
% 0.38/0.56  7. (-. ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3)))) (-. (neq T_2 (nil))) (T_2 = T_3)   ### NotOr 6
% 0.38/0.56  8. (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3))))) (T_2 = T_3) (-. (neq T_2 (nil))) (T_0 = T_1) (neq T_0 (nil))   ### NotAnd 3 7
% 0.38/0.56  9. (T_0 = T_1) (T_1 != T_0)   ### Sym(=)
% 0.38/0.56  10. (T_2 = T_3) (T_3 != T_2)   ### Sym(=)
% 0.38/0.56  11. (-. (frontsegP T_0 T_2)) (frontsegP T_1 T_3) (T_2 = T_3) (T_0 = T_1)   ### P-NotP 9 10
% 0.38/0.56  12. (-. (-. (frontsegP T_1 T_3))) (T_0 = T_1) (T_2 = T_3) (-. (frontsegP T_0 T_2))   ### NotNot 11
% 0.38/0.56  13. (-. ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3)))) (-. (frontsegP T_0 T_2)) (T_2 = T_3) (T_0 = T_1)   ### NotOr 12
% 0.38/0.56  14. (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3))))) (T_2 = T_3) (-. (frontsegP T_0 T_2)) (T_0 = T_1) (neq T_0 (nil))   ### NotAnd 3 13
% 0.38/0.56  15. (-. ((neq T_2 (nil)) /\ (frontsegP T_0 T_2))) (neq T_0 (nil)) (T_0 = T_1) (T_2 = T_3) (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3)))))   ### NotAnd 8 14
% 0.38/0.56  16. (-. ((ssList T_1) => ((T_0 != T_1) \/ ((T_2 != T_3) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != T_3) /\ ((nil) = T_1)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3)))))))))))   ### ConjTree 15
% 0.38/0.56  17. (-. (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != T_3) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != T_3) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP X T_3))))))))))))   ### NotAllEx 16
% 0.38/0.56  18. (-. ((ssList T_3) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != T_3) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != T_3) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP X T_3)))))))))))))   ### NotImply 17
% 0.38/0.56  19. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != W) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W))))))))))))))   ### NotAllEx 18
% 0.38/0.56  20. (-. ((ssList T_0) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != W) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W)))))))))))))))   ### NotImply 19
% 0.38/0.56  21. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_2 != W) \/ ((-. (neq V (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP V T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W))))))))))))))))   ### NotAllEx 20
% 0.38/0.56  22. (-. ((ssList T_2) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_2 != W) \/ ((-. (neq V (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP V T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W)))))))))))))))))   ### NotImply 21
% 0.38/0.56  23. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ ((-. (neq V (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq U (nil)) /\ (frontsegP V U)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W))))))))))))))))))   ### NotAllEx 22
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  (* END-PROOF *)
%------------------------------------------------------------------------------