%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SCT149+1 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 22:25:56 EDT 2022 % Result : Theorem 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SCT149+1 : TPTP v8.1.0. Released v5.2.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n017.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 : Fri Jul 1 21:00:10 EDT 2022 % 0.12/0.34 % CPUTime : % 0.40/0.58 (* PROOF-FOUND *) % 0.40/0.58 % SZS status Theorem % 0.40/0.58 (* BEGIN-PROOF *) % 0.40/0.58 % SZS output start Proof % 0.40/0.58 Theorem conj_0 : ((hBOOL (hAPP (hAPP (c_member (tc_prod (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt))) (hAPP (hAPP (c_Product__Type_OPair (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt)) (v_a____)) (v_b____))) (hAPP (v_F) (v_P____))))<->(hBOOL (hAPP (hAPP (c_member (tc_prod (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt))) (hAPP (hAPP (c_Product__Type_OPair (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt)) (v_b____)) (v_a____))) (hAPP (v_F) (v_P_H____))))). % 0.40/0.58 Proof. % 0.40/0.58 apply NNPP. intro zenon_G. % 0.40/0.58 apply (zenon_equiv_s _ _ fact_ba); [ zenon_intro zenon_H1f5; zenon_intro zenon_H1f4 | zenon_intro zenon_H1f3; zenon_intro zenon_H1f2 ]. % 0.40/0.58 apply (zenon_equiv_s _ _ fact_bc); [ zenon_intro zenon_H1f7; zenon_intro zenon_H1f5 | zenon_intro zenon_H1f6; zenon_intro zenon_H1f3 ]. % 0.40/0.58 apply (zenon_equiv_s _ _ fact_ac); [ zenon_intro zenon_H1f9; zenon_intro zenon_H1f7 | zenon_intro zenon_H1f8; zenon_intro zenon_H1f6 ]. % 0.40/0.58 apply (zenon_equiv_s _ _ fact_ab); [ zenon_intro zenon_H1fb; zenon_intro zenon_H1f9 | zenon_intro zenon_H1fa; zenon_intro zenon_H1f8 ]. % 0.40/0.58 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H1fb; zenon_intro zenon_H1f2 | zenon_intro zenon_H1fa; zenon_intro zenon_H1f4 ]. % 0.40/0.58 exact (zenon_H1f4 zenon_H1f2). % 0.40/0.58 exact (zenon_H1fb zenon_H1fa). % 0.40/0.58 exact (zenon_H1f9 zenon_H1f8). % 0.40/0.58 exact (zenon_H1f7 zenon_H1f6). % 0.40/0.58 exact (zenon_H1f5 zenon_H1f3). % 0.40/0.58 apply (zenon_equiv_s _ _ fact_bc); [ zenon_intro zenon_H1f7; zenon_intro zenon_H1f5 | zenon_intro zenon_H1f6; zenon_intro zenon_H1f3 ]. % 0.40/0.58 exact (zenon_H1f5 zenon_H1f3). % 0.40/0.58 apply (zenon_equiv_s _ _ fact_ac); [ zenon_intro zenon_H1f9; zenon_intro zenon_H1f7 | zenon_intro zenon_H1f8; zenon_intro zenon_H1f6 ]. % 0.40/0.58 exact (zenon_H1f7 zenon_H1f6). % 0.40/0.58 apply (zenon_equiv_s _ _ fact_ab); [ zenon_intro zenon_H1fb; zenon_intro zenon_H1f9 | zenon_intro zenon_H1fa; zenon_intro zenon_H1f8 ]. % 0.40/0.58 exact (zenon_H1f9 zenon_H1f8). % 0.40/0.58 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H1fb; zenon_intro zenon_H1f2 | zenon_intro zenon_H1fa; zenon_intro zenon_H1f4 ]. % 0.40/0.58 exact (zenon_H1fb zenon_H1fa). % 0.40/0.58 exact (zenon_H1f4 zenon_H1f2). % 0.40/0.58 Qed. % 0.40/0.58 % SZS output end Proof % 0.40/0.58 (* END-PROOF *) % 0.40/0.58 nodes searched: 22 % 0.40/0.58 max branch formulas: 484 % 0.40/0.58 proof nodes created: 19 % 0.40/0.58 formulas created: 10399 % 0.40/0.58 %------------------------------------------------------------------------------