%------------------------------------------------------------------------------ % 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 *) %------------------------------------------------------------------------------