%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM846+1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 15:59:56 EDT 2022 % Result : Theorem 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM846+1 : TPTP v8.1.0. Released v4.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jul 6 20:09:26 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.51 (* PROOF-FOUND *) % 0.19/0.51 % SZS status Theorem % 0.19/0.51 (* BEGIN-PROOF *) % 0.19/0.51 % SZS output start Proof % 0.19/0.51 Theorem holds(286, 441, 2) : ((vplus (vmul (vd436) (vplus (vd437) (vd439))) (vd436)) = (vplus (vplus (vmul (vd436) (vd437)) (vmul (vd436) (vd439))) (vd436))). % 0.19/0.51 Proof. % 0.19/0.51 apply NNPP. intro zenon_G. % 0.19/0.51 cut (((vd436) = (vd436))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 0.19/0.51 cut (((vmul (vd436) (vplus (vd437) (vd439))) = (vplus (vmul (vd436) (vd437)) (vmul (vd436) (vd439))))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 0.19/0.51 congruence. % 0.19/0.51 exact (zenon_H38 holds(285, 440, 0)). % 0.19/0.51 apply zenon_H37. apply refl_equal. % 0.19/0.51 Qed. % 0.19/0.51 % SZS output end Proof % 0.19/0.51 (* END-PROOF *) % 0.19/0.51 nodes searched: 192 % 0.19/0.51 max branch formulas: 243 % 0.19/0.51 proof nodes created: 4 % 0.19/0.51 formulas created: 4826 % 0.19/0.51 %------------------------------------------------------------------------------