%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS137+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 : Sun Jul 17 03:39:34 EDT 2022 % Result : Theorem 0.11s 0.38s % Output : Proof 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.08 % Problem : KRS137+1 : TPTP v8.1.0. Released v3.1.0. % 0.00/0.08 % Command : run_zenon %s %d % 0.07/0.27 % Computer : n032.cluster.edu % 0.07/0.27 % Model : x86_64 x86_64 % 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.27 % Memory : 8042.1875MB % 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.27 % CPULimit : 300 % 0.07/0.27 % WCLimit : 600 % 0.07/0.27 % DateTime : Tue Jun 7 15:59:05 EDT 2022 % 0.07/0.27 % CPUTime : % 0.11/0.38 (* PROOF-FOUND *) % 0.11/0.38 % SZS status Theorem % 0.11/0.38 (* BEGIN-PROOF *) % 0.11/0.38 % SZS output start Proof % 0.11/0.38 Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\((cCar (iauto))/\((cowlThing (iauto))/\((cowlThing (icar))/\(cAutomobile (icar))))))). % 0.11/0.38 Proof. % 0.11/0.38 apply NNPP. intro zenon_G. % 0.11/0.38 generalize (axiom_2 (icar)). zenon_intro zenon_H8. % 0.11/0.38 apply (zenon_equiv_s _ _ zenon_H8); [ zenon_intro zenon_Hb; zenon_intro zenon_Ha | zenon_intro axiom_6; zenon_intro zenon_H9 ]. % 0.11/0.38 exact (zenon_Hb axiom_6). % 0.11/0.38 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ]. % 0.11/0.38 exact (zenon_Hd axiom_0). % 0.11/0.38 apply (zenon_notand_s _ _ zenon_Hc); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.11/0.38 exact (zenon_Hf axiom_1). % 0.11/0.38 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ]. % 0.11/0.38 generalize (axiom_2 (iauto)). zenon_intro zenon_H12. % 0.11/0.38 apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_H11; zenon_intro zenon_H14 | zenon_intro zenon_H13; zenon_intro axiom_4 ]. % 0.11/0.38 exact (zenon_H14 axiom_4). % 0.11/0.38 exact (zenon_H11 zenon_H13). % 0.11/0.38 apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ]. % 0.11/0.38 exact (zenon_H16 axiom_3). % 0.11/0.38 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_Ha ]. % 0.11/0.38 exact (zenon_H17 axiom_5). % 0.11/0.38 exact (zenon_Ha zenon_H9). % 0.11/0.38 Qed. % 0.11/0.38 % SZS output end Proof % 0.11/0.38 (* END-PROOF *) % 0.11/0.38 nodes searched: 18 % 0.11/0.38 max branch formulas: 14 % 0.11/0.38 proof nodes created: 15 % 0.11/0.38 formulas created: 143 % 0.11/0.38 %------------------------------------------------------------------------------