%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : RNG101+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 : n022.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 : Mon Jul 18 20:41:59 EDT 2022 % Result : Theorem 257.06s 257.33s % Output : Proof 257.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : RNG101+1 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n022.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon May 30 07:13:07 EDT 2022 % 0.12/0.33 % CPUTime : % 257.06/257.33 % SZS status Theorem % 257.06/257.33 (* PROOF-FOUND *) % 257.06/257.33 (* BEGIN-PROOF *) % 257.06/257.33 % SZS output start Proof % 257.06/257.33 1. (aElement0 (xc)) (-. (aElement0 (xc))) ### Axiom % 257.06/257.33 2. ((slsdtgt0 (xc)) != (slsdtgt0 (xc))) ### Refl(=) % 257.06/257.33 3. (aElementOf0 (xx) (slsdtgt0 (xc))) (-. (aElementOf0 (xx) (slsdtgt0 (xc)))) ### Axiom % 257.06/257.33 4. (-. (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx)))) ### Axiom % 257.06/257.33 5. ((aElementOf0 (xx) (slsdtgt0 (xc))) <=> (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) (-. (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) (aElementOf0 (xx) (slsdtgt0 (xc))) ### Equiv 3 4 % 257.06/257.33 6. (All W2, ((aElementOf0 W2 (slsdtgt0 (xc))) <=> (Ex W3, ((aElement0 W3) /\ ((sdtasdt0 (xc) W3) = W2))))) (aElementOf0 (xx) (slsdtgt0 (xc))) (-. (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) ### All 5 % 257.06/257.33 7. ((aSet0 (slsdtgt0 (xc))) /\ (All W2, ((aElementOf0 W2 (slsdtgt0 (xc))) <=> (Ex W3, ((aElement0 W3) /\ ((sdtasdt0 (xc) W3) = W2)))))) (-. (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) (aElementOf0 (xx) (slsdtgt0 (xc))) ### And 6 % 257.06/257.34 8. (((slsdtgt0 (xc)) = (slsdtgt0 (xc))) <=> ((aSet0 (slsdtgt0 (xc))) /\ (All W2, ((aElementOf0 W2 (slsdtgt0 (xc))) <=> (Ex W3, ((aElement0 W3) /\ ((sdtasdt0 (xc) W3) = W2))))))) (aElementOf0 (xx) (slsdtgt0 (xc))) (-. (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) ### Equiv 2 7 % 257.06/257.34 9. (All W1, ((W1 = (slsdtgt0 (xc))) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) <=> (Ex W3, ((aElement0 W3) /\ ((sdtasdt0 (xc) W3) = W2)))))))) (-. (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) (aElementOf0 (xx) (slsdtgt0 (xc))) ### All 8 % 257.06/257.34 10. ((aElement0 (xc)) => (All W1, ((W1 = (slsdtgt0 (xc))) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) <=> (Ex W3, ((aElement0 W3) /\ ((sdtasdt0 (xc) W3) = W2))))))))) (aElementOf0 (xx) (slsdtgt0 (xc))) (-. (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) (aElement0 (xc)) ### Imply 1 9 % 257.06/257.34 11. (All W0, ((aElement0 W0) => (All W1, ((W1 = (slsdtgt0 W0)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) <=> (Ex W3, ((aElement0 W3) /\ ((sdtasdt0 W0 W3) = W2)))))))))) (aElement0 (xc)) (-. (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) (aElementOf0 (xx) (slsdtgt0 (xc))) ### All 10 % 257.06/257.34 12. ((aElementOf0 (xx) (slsdtgt0 (xc))) /\ ((aElementOf0 (xy) (slsdtgt0 (xc))) /\ (aElement0 (xz)))) (-. (Ex W0, ((aElement0 W0) /\ ((sdtasdt0 (xc) W0) = (xx))))) (aElement0 (xc)) (All W0, ((aElement0 W0) => (All W1, ((W1 = (slsdtgt0 W0)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) <=> (Ex W3, ((aElement0 W3) /\ ((sdtasdt0 W0 W3) = W2)))))))))) ### ConjTree 11 % 257.06/257.34 % SZS output end Proof % 257.06/257.34 (* END-PROOF *) %------------------------------------------------------------------------------