%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : COM018+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n018.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 : Fri Jul 15 01:45:52 EDT 2022

% Result   : Theorem 0.20s 0.41s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COM018+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n018.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 : Thu Jun 16 18:10:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.41  % SZS status Theorem
% 0.20/0.41  (* PROOF-FOUND *)
% 0.20/0.41  (* BEGIN-PROOF *)
% 0.20/0.41  % SZS output start Proof
% 0.20/0.41  1. (aRewritingSystem0 (xR)) (-. (aRewritingSystem0 (xR)))   ### Axiom
% 0.20/0.41  2. (isTerminating0 (xR)) (-. (isTerminating0 (xR)))   ### Axiom
% 0.20/0.41  3. (aElement0 (xw)) (-. (aElement0 (xw)))   ### Axiom
% 0.20/0.41  4. (-. (Ex W0, (aNormalFormOfIn0 W0 (xw) (xR)))) (Ex W0, (aNormalFormOfIn0 W0 (xw) (xR)))   ### Axiom
% 0.20/0.41  5. ((aElement0 (xw)) => (Ex W0, (aNormalFormOfIn0 W0 (xw) (xR)))) (-. (Ex W0, (aNormalFormOfIn0 W0 (xw) (xR)))) (aElement0 (xw))   ### Imply 3 4
% 0.20/0.41  6. (All W1, ((aElement0 W1) => (Ex W2, (aNormalFormOfIn0 W2 W1 (xR))))) (aElement0 (xw)) (-. (Ex W0, (aNormalFormOfIn0 W0 (xw) (xR))))   ### All 5
% 0.20/0.41  7. (((aRewritingSystem0 (xR)) /\ (isTerminating0 (xR))) => (All W1, ((aElement0 W1) => (Ex W2, (aNormalFormOfIn0 W2 W1 (xR)))))) (-. (Ex W0, (aNormalFormOfIn0 W0 (xw) (xR)))) (aElement0 (xw)) (isTerminating0 (xR)) (aRewritingSystem0 (xR))   ### DisjTree 1 2 6
% 0.20/0.41  8. (All W0, (((aRewritingSystem0 W0) /\ (isTerminating0 W0)) => (All W1, ((aElement0 W1) => (Ex W2, (aNormalFormOfIn0 W2 W1 W0)))))) (aRewritingSystem0 (xR)) (isTerminating0 (xR)) (aElement0 (xw)) (-. (Ex W0, (aNormalFormOfIn0 W0 (xw) (xR))))   ### All 7
% 0.20/0.41  9. ((aElement0 (xw)) /\ ((sdtmndtasgtdt0 (xu) (xR) (xw)) /\ (sdtmndtasgtdt0 (xv) (xR) (xw)))) (-. (Ex W0, (aNormalFormOfIn0 W0 (xw) (xR)))) (isTerminating0 (xR)) (aRewritingSystem0 (xR)) (All W0, (((aRewritingSystem0 W0) /\ (isTerminating0 W0)) => (All W1, ((aElement0 W1) => (Ex W2, (aNormalFormOfIn0 W2 W1 W0))))))   ### ConjTree 8
% 0.20/0.41  10. ((isLocallyConfluent0 (xR)) /\ (isTerminating0 (xR))) (All W0, (((aRewritingSystem0 W0) /\ (isTerminating0 W0)) => (All W1, ((aElement0 W1) => (Ex W2, (aNormalFormOfIn0 W2 W1 W0)))))) (aRewritingSystem0 (xR)) (-. (Ex W0, (aNormalFormOfIn0 W0 (xw) (xR)))) ((aElement0 (xw)) /\ ((sdtmndtasgtdt0 (xu) (xR) (xw)) /\ (sdtmndtasgtdt0 (xv) (xR) (xw))))   ### And 9
% 0.20/0.41  % SZS output end Proof
% 0.20/0.41  (* END-PROOF *)
%------------------------------------------------------------------------------