TSTP Solution File: SWV141+1 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SWV141+1 : TPTP v8.1.0. Bugfixed 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 : Wed Jul 20 21:50:08 EDT 2022

% Result   : Theorem 8.10s 8.26s
% Output   : Proof 8.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV141+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 23:46:43 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 8.10/8.26  % SZS status Theorem
% 8.10/8.26  (* PROOF-FOUND *)
% 8.10/8.26  (* BEGIN-PROOF *)
% 8.10/8.26  % SZS output start Proof
% 8.10/8.26  1. (gt (succ (loopcounter)) (n1)) (-. (gt (succ (loopcounter)) (n1)))   ### Axiom
% 8.10/8.26  2. (-. (leq (n1) (loopcounter))) (gt (succ (loopcounter)) (n1))   ### Definition-Pseudo(leq) 1
% 8.10/8.26  3. ((loopcounter) != (n1)) ((n1) = (loopcounter))   ### Sym(=)
% 8.10/8.26  4. (-. (gt (loopcounter) (n1))) (gt (loopcounter) (n1))   ### Axiom
% 8.10/8.26  5. (((leq (n1) (loopcounter)) /\ ((n1) != (loopcounter))) => (gt (loopcounter) (n1))) (-. (gt (loopcounter) (n1))) ((loopcounter) != (n1)) (gt (succ (loopcounter)) (n1))   ### DisjTree 2 3 4
% 8.10/8.26  6. (All Y, (((leq (n1) Y) /\ ((n1) != Y)) => (gt Y (n1)))) (gt (succ (loopcounter)) (n1)) ((loopcounter) != (n1)) (-. (gt (loopcounter) (n1)))   ### All 5
% 8.10/8.26  7. (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X)))) (-. (gt (loopcounter) (n1))) ((loopcounter) != (n1)) (gt (succ (loopcounter)) (n1))   ### All 6
% 8.10/8.26  8. ((n0) != (n0))   ### NotEqual
% 8.10/8.26  9. (-. (gt (loopcounter) (n0))) (gt (n1) (n0)) (gt (succ (loopcounter)) (n1)) (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X))))   ### Trans 7 8
% 8.10/8.26  10. (-. (gt (succ (s_worst7)) (n0))) (gt (succ (s_worst7)) (n0))   ### Axiom
% 8.10/8.26  11. (leq (n0) (s_worst7)) (-. (gt (succ (s_worst7)) (n0)))   ### Definition-Pseudo(leq) 10
% 8.10/8.26  12. ((gt (loopcounter) (n0)) => (leq (n0) (s_worst7))) (-. (gt (succ (s_worst7)) (n0))) (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X)))) (gt (succ (loopcounter)) (n1)) (gt (n1) (n0))   ### Imply 9 11
% 8.10/8.26  13. (-. (leq (n0) (s_worst7))) (gt (n1) (n0)) (gt (succ (loopcounter)) (n1)) (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X)))) ((gt (loopcounter) (n0)) => (leq (n0) (s_worst7)))   ### Definition-Pseudo(leq) 12
% 8.10/8.26  14. (leq (n1) (loopcounter)) ((gt (loopcounter) (n0)) => (leq (n0) (s_worst7))) (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X)))) (gt (n1) (n0)) (-. (leq (n0) (s_worst7)))   ### Definition-Pseudo(leq) 13
% 8.10/8.26  15. (-. (((leq (tptp_float_0_001) (pv1341)) /\ ((leq (n1) (loopcounter)) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (n0) (s_best7))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (n0) (s_sworst7))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (n0) (s_worst7))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (s_best7) (n3))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (s_sworst7) (n3))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (s_worst7) (n3))) /\ (((gt (loopcounter) (n0)) => (leq (n0) (s_best7))) /\ (((gt (loopcounter) (n0)) => (leq (n0) (s_sworst7))) /\ (((gt (loopcounter) (n0)) => (leq (n0) (s_worst7))) /\ (((gt (loopcounter) (n0)) => (leq (s_best7) (n3))) /\ (((gt (loopcounter) (n0)) => (leq (s_sworst7) (n3))) /\ ((gt (loopcounter) (n0)) => (leq (s_worst7) (n3)))))))))))))))) => (leq (n0) (s_worst7)))) (gt (n1) (n0)) (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X))))   ### ConjTree 14
% 8.10/8.26  % SZS output end Proof
% 8.10/8.26  (* END-PROOF *)
%------------------------------------------------------------------------------