%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV216+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 : n008.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 21:50:23 EDT 2022 % Result : Theorem 2.51s 2.68s % Output : Proof 2.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV216+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.34 % Computer : n008.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Wed Jun 15 02:09:52 EDT 2022 % 0.14/0.34 % CPUTime : % 2.51/2.68 % SZS status Theorem % 2.51/2.68 (* PROOF-FOUND *) % 2.51/2.68 (* BEGIN-PROOF *) % 2.51/2.68 % SZS output start Proof % 2.51/2.68 1. ((n2) = T_0) ((n2) != T_0) ### Axiom % 2.51/2.68 2. ((n4) = T_1) ((n4) != T_1) ### Axiom % 2.51/2.68 3. (-. (((n2) = T_0) /\ ((n4) = T_1))) ((n4) = T_1) ((n2) = T_0) ### NotAnd 1 2 % 2.51/2.68 4. (-. (((leq (n0) T_1) /\ ((leq (n0) T_0) /\ ((leq T_1 (n5)) /\ (leq T_0 (n5))))) => (((-. (((n0) = T_1) /\ ((n3) = T_0))) /\ ((-. (((n0) = T_1) /\ ((n4) = T_0))) /\ ((-. (((n0) = T_1) /\ ((n5) = T_0))) /\ ((-. (((n0) = T_0) /\ ((n5) = T_1))) /\ ((-. (((n1) = T_1) /\ ((n3) = T_0))) /\ ((-. (((n1) = T_1) /\ ((n4) = T_0))) /\ ((-. (((n1) = T_1) /\ ((n5) = T_0))) /\ ((-. (((n1) = T_0) /\ ((n5) = T_1))) /\ ((-. (((n2) = T_1) /\ ((n3) = T_0))) /\ ((-. (((n2) = T_1) /\ ((n4) = T_0))) /\ ((-. (((n2) = T_1) /\ ((n5) = T_0))) /\ ((-. (((n2) = T_0) /\ ((n3) = T_1))) /\ ((-. (((n2) = T_0) /\ ((n4) = T_1))) /\ ((-. (((n2) = T_0) /\ ((n5) = T_1))) /\ ((-. (((n3) = T_1) /\ ((n3) = T_0))) /\ ((-. (((n3) = T_1) /\ ((n4) = T_0))) /\ ((-. (((n3) = T_1) /\ ((n5) = T_0))) /\ ((-. (((n3) = T_0) /\ ((n4) = T_1))) /\ ((-. (((n3) = T_0) /\ ((n5) = T_1))) /\ ((-. (((n4) = T_1) /\ ((n4) = T_0))) /\ ((-. (((n4) = T_1) /\ ((n5) = T_0))) /\ ((-. (((n4) = T_0) /\ ((n5) = T_1))) /\ ((-. (((n5) = T_1) /\ ((n5) = T_0))) /\ (((n1) = T_0) /\ (((n2) = T_1) /\ (((n2) = T_0) /\ ((n4) = T_1))))))))))))))))))))))))))) => ((n0) = (times (divide (n1) (n400)) (a_select2 (sigma) (n2))))))) ### ConjTree 3 % 2.51/2.68 5. (-. (All B, (((leq (n0) T_1) /\ ((leq (n0) B) /\ ((leq T_1 (n5)) /\ (leq B (n5))))) => (((-. (((n0) = T_1) /\ ((n3) = B))) /\ ((-. (((n0) = T_1) /\ ((n4) = B))) /\ ((-. (((n0) = T_1) /\ ((n5) = B))) /\ ((-. (((n0) = B) /\ ((n5) = T_1))) /\ ((-. (((n1) = T_1) /\ ((n3) = B))) /\ ((-. (((n1) = T_1) /\ ((n4) = B))) /\ ((-. (((n1) = T_1) /\ ((n5) = B))) /\ ((-. (((n1) = B) /\ ((n5) = T_1))) /\ ((-. (((n2) = T_1) /\ ((n3) = B))) /\ ((-. (((n2) = T_1) /\ ((n4) = B))) /\ ((-. (((n2) = T_1) /\ ((n5) = B))) /\ ((-. (((n2) = B) /\ ((n3) = T_1))) /\ ((-. (((n2) = B) /\ ((n4) = T_1))) /\ ((-. (((n2) = B) /\ ((n5) = T_1))) /\ ((-. (((n3) = T_1) /\ ((n3) = B))) /\ ((-. (((n3) = T_1) /\ ((n4) = B))) /\ ((-. (((n3) = T_1) /\ ((n5) = B))) /\ ((-. (((n3) = B) /\ ((n4) = T_1))) /\ ((-. (((n3) = B) /\ ((n5) = T_1))) /\ ((-. (((n4) = T_1) /\ ((n4) = B))) /\ ((-. (((n4) = T_1) /\ ((n5) = B))) /\ ((-. (((n4) = B) /\ ((n5) = T_1))) /\ ((-. (((n5) = T_1) /\ ((n5) = B))) /\ (((n1) = B) /\ (((n2) = T_1) /\ (((n2) = B) /\ ((n4) = T_1))))))))))))))))))))))))))) => ((n0) = (times (divide (n1) (n400)) (a_select2 (sigma) (n2)))))))) ### NotAllEx 4 % 2.51/2.68 6. (-. (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n5)) /\ (leq B (n5))))) => (((-. (((n0) = A) /\ ((n3) = B))) /\ ((-. (((n0) = A) /\ ((n4) = B))) /\ ((-. (((n0) = A) /\ ((n5) = B))) /\ ((-. (((n0) = B) /\ ((n5) = A))) /\ ((-. (((n1) = A) /\ ((n3) = B))) /\ ((-. (((n1) = A) /\ ((n4) = B))) /\ ((-. (((n1) = A) /\ ((n5) = B))) /\ ((-. (((n1) = B) /\ ((n5) = A))) /\ ((-. (((n2) = A) /\ ((n3) = B))) /\ ((-. (((n2) = A) /\ ((n4) = B))) /\ ((-. (((n2) = A) /\ ((n5) = B))) /\ ((-. (((n2) = B) /\ ((n3) = A))) /\ ((-. (((n2) = B) /\ ((n4) = A))) /\ ((-. (((n2) = B) /\ ((n5) = A))) /\ ((-. (((n3) = A) /\ ((n3) = B))) /\ ((-. (((n3) = A) /\ ((n4) = B))) /\ ((-. (((n3) = A) /\ ((n5) = B))) /\ ((-. (((n3) = B) /\ ((n4) = A))) /\ ((-. (((n3) = B) /\ ((n5) = A))) /\ ((-. (((n4) = A) /\ ((n4) = B))) /\ ((-. (((n4) = A) /\ ((n5) = B))) /\ ((-. (((n4) = B) /\ ((n5) = A))) /\ ((-. (((n5) = A) /\ ((n5) = B))) /\ (((n1) = B) /\ (((n2) = A) /\ (((n2) = B) /\ ((n4) = A))))))))))))))))))))))))))) => ((n0) = (times (divide (n1) (n400)) (a_select2 (sigma) (n2))))))))) ### NotAllEx 5 % 2.51/2.68 % SZS output end Proof % 2.51/2.68 (* END-PROOF *) %------------------------------------------------------------------------------