%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN391+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 : Thu Jul 21 13:51:46 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN391+1 : TPTP v8.1.0. Released v2.0.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n025.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jul 11 20:56:32 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem pel9 : ((((p1)\/(p2))/\(((~(p1))\/(p2))/\((p1)\/(~(p2)))))->(~((~(p1))\/(~(p2))))). % 0.19/0.50 Proof. % 0.19/0.50 assert (zenon_L1_ : (~(p1)) -> (p1) -> False). % 0.19/0.50 do 0 intro. intros zenon_H1 zenon_H2. % 0.19/0.50 exact (zenon_H1 zenon_H2). % 0.19/0.50 (* end of lemma zenon_L1_ *) % 0.19/0.50 assert (zenon_L2_ : (~(p2)) -> (p2) -> False). % 0.19/0.50 do 0 intro. intros zenon_H3 zenon_H4. % 0.19/0.50 exact (zenon_H3 zenon_H4). % 0.19/0.50 (* end of lemma zenon_L2_ *) % 0.19/0.50 assert (zenon_L3_ : ((~(p1))\/(~(p2))) -> (p2) -> (p1) -> False). % 0.19/0.50 do 0 intro. intros zenon_H5 zenon_H4 zenon_H2. % 0.19/0.50 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H1 | zenon_intro zenon_H3 ]. % 0.19/0.50 exact (zenon_H1 zenon_H2). % 0.19/0.50 exact (zenon_H3 zenon_H4). % 0.19/0.50 (* end of lemma zenon_L3_ *) % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.19/0.50 apply zenon_H6. zenon_intro zenon_H5. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.19/0.50 apply (zenon_or_s _ _ zenon_H9); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 0.19/0.50 apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_H1 | zenon_intro zenon_H4 ]. % 0.19/0.50 exact (zenon_H1 zenon_H2). % 0.19/0.50 apply (zenon_L3_); trivial. % 0.19/0.50 apply (zenon_or_s _ _ zenon_Ha); [ zenon_intro zenon_H2 | zenon_intro zenon_H3 ]. % 0.19/0.50 apply (zenon_L3_); trivial. % 0.19/0.50 exact (zenon_H3 zenon_H4). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 8 % 0.19/0.50 max branch formulas: 8 % 0.19/0.50 proof nodes created: 7 % 0.19/0.50 formulas created: 64 % 0.19/0.50 %------------------------------------------------------------------------------