TSTP Solution File: SWV182+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SWV182+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 : n023.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 21:50:16 EDT 2022

% Result   : Theorem 52.70s 52.87s
% Output   : Proof 52.70s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Tue Jun 14 16:18:35 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 52.70/52.87  % SZS status Theorem
% 52.70/52.87  (* PROOF-FOUND *)
% 52.70/52.87  (* BEGIN-PROOF *)
% 52.70/52.87  % SZS output start Proof
% 52.70/52.87  1. (gt (succ (loopcounter)) (n1)) (-. (gt (succ (loopcounter)) (n1)))   ### Axiom
% 52.70/52.87  2. (-. (leq (n1) (loopcounter))) (gt (succ (loopcounter)) (n1))   ### Definition-Pseudo(leq) 1
% 52.70/52.87  3. ((loopcounter) != (n1)) ((n1) = (loopcounter))   ### Sym(=)
% 52.70/52.87  4. (-. (gt (loopcounter) (n1))) (gt (loopcounter) (n1))   ### Axiom
% 52.70/52.87  5. (((leq (n1) (loopcounter)) /\ ((n1) != (loopcounter))) => (gt (loopcounter) (n1))) (-. (gt (loopcounter) (n1))) ((loopcounter) != (n1)) (gt (succ (loopcounter)) (n1))   ### DisjTree 2 3 4
% 52.70/52.87  6. (All Y, (((leq (n1) Y) /\ ((n1) != Y)) => (gt Y (n1)))) (gt (succ (loopcounter)) (n1)) ((loopcounter) != (n1)) (-. (gt (loopcounter) (n1)))   ### All 5
% 52.70/52.87  7. (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X)))) (-. (gt (loopcounter) (n1))) ((loopcounter) != (n1)) (gt (succ (loopcounter)) (n1))   ### All 6
% 52.70/52.87  8. ((n0) != (n0))   ### NotEqual
% 52.70/52.87  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
% 52.70/52.87  10. (-. (All E, (((leq (n0) E) /\ (leq E (n4))) => ((a_select2 (rho_init) E) = (init))))) (All E, (((leq (n0) E) /\ (leq E (n4))) => ((a_select2 (rho_init) E) = (init))))   ### Axiom
% 52.70/52.87  11. ((gt (loopcounter) (n0)) => (All E, (((leq (n0) E) /\ (leq E (n4))) => ((a_select2 (rho_init) E) = (init))))) (-. (All E, (((leq (n0) E) /\ (leq E (n4))) => ((a_select2 (rho_init) E) = (init))))) (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X)))) (gt (succ (loopcounter)) (n1)) (gt (n1) (n0))   ### Imply 9 10
% 52.70/52.87  12. (leq (n1) (loopcounter)) (gt (n1) (n0)) (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X)))) (-. (All E, (((leq (n0) E) /\ (leq E (n4))) => ((a_select2 (rho_init) E) = (init))))) ((gt (loopcounter) (n0)) => (All E, (((leq (n0) E) /\ (leq E (n4))) => ((a_select2 (rho_init) E) = (init)))))   ### Definition-Pseudo(leq) 11
% 52.70/52.87  13. (-. (((leq (tptp_float_0_001) (pv76)) /\ ((leq (n1) (loopcounter)) /\ ((All A, (((leq (n0) A) /\ (leq A (n135299))) => (All B, (((leq (n0) B) /\ (leq B (n4))) => ((a_select3 (q_init) A B) = (init)))))) /\ ((All C, (((leq (n0) C) /\ (leq C (n4))) => ((a_select3 (center_init) C (n0)) = (init)))) /\ (((gt (loopcounter) (n0)) => (All D, (((leq (n0) D) /\ (leq D (n4))) => ((a_select2 (mu_init) D) = (init))))) /\ (((gt (loopcounter) (n0)) => (All E, (((leq (n0) E) /\ (leq E (n4))) => ((a_select2 (rho_init) E) = (init))))) /\ ((gt (loopcounter) (n0)) => (All F, (((leq (n0) F) /\ (leq F (n4))) => ((a_select2 (sigma_init) F) = (init))))))))))) => (All E, (((leq (n0) E) /\ (leq E (n4))) => ((a_select2 (rho_init) E) = (init)))))) (All X, (All Y, (((leq X Y) /\ (X != Y)) => (gt Y X)))) (gt (n1) (n0))   ### ConjTree 12
% 52.70/52.87  % SZS output end Proof
% 52.70/52.87  (* END-PROOF *)
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