%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 15:59:57 EDT 2022 % Result : Theorem 0.92s 1.10s % Output : Proof 0.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0. % 0.12/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n020.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 : Wed Jul 6 14:53:14 EDT 2022 % 0.12/0.33 % CPUTime : % 0.92/1.10 (* PROOF-FOUND *) % 0.92/1.10 % SZS status Theorem % 0.92/1.10 (* BEGIN-PROOF *) % 0.92/1.10 % SZS output start Proof % 0.92/1.10 Theorem holds(286, 441, 4) : ((vplus (vmul (vd436) (vd437)) (vplus (vmul (vd436) (vd439)) (vd436))) = (vplus (vmul (vd436) (vd437)) (vmul (vd436) (vsucc (vd439))))). % 0.92/1.10 Proof. % 0.92/1.10 apply NNPP. intro zenon_G. % 0.92/1.10 cut (((vplus (vmul (vd436) (vd439)) (vd436)) = (vmul (vd436) (vsucc (vd439))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 0.92/1.10 cut (((vmul (vd436) (vd437)) = (vmul (vd436) (vd437)))); [idtac | apply NNPP; zenon_intro zenon_H11]. % 0.92/1.10 congruence. % 0.92/1.10 apply zenon_H11. apply refl_equal. % 0.92/1.10 generalize (qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) (vd436)). zenon_intro zenon_H12. % 0.92/1.10 generalize (zenon_H12 (vd439)). zenon_intro zenon_H13. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.92/1.10 apply zenon_H10. apply sym_equal. exact zenon_H15. % 0.92/1.10 Qed. % 0.92/1.10 % SZS output end Proof % 0.92/1.10 (* END-PROOF *) % 0.92/1.10 nodes searched: 3035 % 0.92/1.10 max branch formulas: 725 % 0.92/1.10 proof nodes created: 79 % 0.92/1.10 formulas created: 31204 % 0.92/1.10 %------------------------------------------------------------------------------