%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LCL645+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 03:00:22 PM UTC 2026 % Result : CounterSatisfiable 6.35s 6.64s % Output : Model 6.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL645+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.09/0.34 % Computer : n008.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Sat Sep 5 02:02:54 UTC 2026 % 0.09/0.34 % CPUTime : % 6.35/6.64 % SZS status CounterSatisfiable % 6.35/6.64 % SZS output start Model % 6.35/6.64 tff(tptp_fun__i_val_1_type, type, ( % 6.35/6.64 tptp_fun__i_val_1: $i)). % 6.35/6.64 tff(k!400_type, type, ( % 6.35/6.64 k!400: $i > $i)). % 6.35/6.64 tff(tptp_fun__i_val_34_type, type, ( % 6.35/6.64 tptp_fun__i_val_34: $i)). % 6.35/6.64 tff(tptp_fun__i_val_44_type, type, ( % 6.35/6.64 tptp_fun__i_val_44: $i)). % 6.35/6.64 tff(tptp_fun__i_val_47_type, type, ( % 6.35/6.64 tptp_fun__i_val_47: $i)). % 6.35/6.64 tff(tptp_fun__i_val_63_type, type, ( % 6.35/6.64 tptp_fun__i_val_63: $i)). % 6.35/6.64 tff(tptp_fun__i_val_94_type, type, ( % 6.35/6.64 tptp_fun__i_val_94: $i)). % 6.35/6.64 tff(p5_type, type, ( % 6.35/6.64 p5: $i > $o)). % 6.35/6.64 tff(tptp_fun__i_val_106_type, type, ( % 6.35/6.64 tptp_fun__i_val_106: $i)). % 6.35/6.64 tff(p2_type, type, ( % 6.35/6.64 p2: $i > $o)). % 6.35/6.64 tff(tptp_fun__i_val_27_type, type, ( % 6.35/6.64 tptp_fun__i_val_27: $i)). % 6.35/6.64 tff(tptp_fun__i_val_12_type, type, ( % 6.35/6.64 tptp_fun__i_val_12: $i)). % 6.35/6.64 tff(p12_type, type, ( % 6.35/6.64 p12: $i > $o)). % 6.35/6.64 tff(tptp_fun__i_val_24_type, type, ( % 6.35/6.64 tptp_fun__i_val_24: $i)). % 6.35/6.64 tff(tptp_fun__i_val_32_type, type, ( % 6.35/6.64 tptp_fun__i_val_32: $i)). % 6.35/6.64 tff(tptp_fun__i_val_35_type, type, ( % 6.35/6.64 tptp_fun__i_val_35: $i)). % 6.35/6.64 tff(tptp_fun__i_val_37_type, type, ( % 6.35/6.64 tptp_fun__i_val_37: $i)). % 6.35/6.64 tff(tptp_fun__i_val_66_type, type, ( % 6.35/6.64 tptp_fun__i_val_66: $i)). % 6.35/6.64 tff(tptp_fun__i_val_76_type, type, ( % 6.35/6.64 tptp_fun__i_val_76: $i)). % 6.35/6.64 tff(tptp_fun__i_val_87_type, type, ( % 6.35/6.64 tptp_fun__i_val_87: $i)). % 6.35/6.64 tff(tptp_fun__i_val_102_type, type, ( % 6.35/6.64 tptp_fun__i_val_102: $i)). % 6.35/6.64 tff(tptp_fun__i_val_104_type, type, ( % 6.35/6.64 tptp_fun__i_val_104: $i)). % 6.35/6.64 tff(p3_type, type, ( % 6.35/6.64 p3: $i > $o)). % 6.35/6.64 tff(p7_type, type, ( % 6.35/6.64 p7: $i > $o)). % 6.35/6.64 tff(p1_type, type, ( % 6.35/6.64 p1: $i > $o)). % 6.35/6.64 tff(p15_type, type, ( % 6.35/6.64 p15: $i > $o)). % 6.35/6.64 tff(p17_type, type, ( % 6.35/6.64 p17: $i > $o)). % 6.35/6.64 tff(tptp_fun__i_val_69_type, type, ( % 6.35/6.64 tptp_fun__i_val_69: $i)). % 6.35/6.64 tff(tptp_fun__i_val_84_type, type, ( % 6.35/6.64 tptp_fun__i_val_84: $i)). % 6.35/6.64 tff(tptp_fun__i_val_60_type, type, ( % 6.35/6.64 tptp_fun__i_val_60: $i)). % 6.35/6.64 tff(tptp_fun__i_val_29_type, type, ( % 6.35/6.64 tptp_fun__i_val_29: $i)). % 6.35/6.64 tff(tptp_fun__i_val_17_type, type, ( % 6.35/6.64 tptp_fun__i_val_17: $i)). % 6.35/6.64 tff(tptp_fun__i_val_40_type, type, ( % 6.35/6.64 tptp_fun__i_val_40: $i)). % 6.35/6.64 tff(tptp_fun__i_val_15_type, type, ( % 6.35/6.64 tptp_fun__i_val_15: $i)). % 6.35/6.64 tff(tptp_fun__i_val_61_type, type, ( % 6.35/6.64 tptp_fun__i_val_61: $i)). % 6.35/6.64 tff(tptp_fun__i_val_79_type, type, ( % 6.35/6.64 tptp_fun__i_val_79: $i)). % 6.35/6.64 tff(tptp_fun__i_val_49_type, type, ( % 6.35/6.64 tptp_fun__i_val_49: $i)). % 6.35/6.64 tff(tptp_fun__i_val_82_type, type, ( % 6.35/6.64 tptp_fun__i_val_82: $i)). % 6.35/6.64 tff(tptp_fun__i_val_105_type, type, ( % 6.35/6.64 tptp_fun__i_val_105: $i)). % 6.35/6.64 tff(tptp_fun__i_val_57_type, type, ( % 6.35/6.64 tptp_fun__i_val_57: $i)). % 6.35/6.64 tff(tptp_fun__i_val_7_type, type, ( % 6.35/6.64 tptp_fun__i_val_7: $i)). % 6.35/6.64 tff(tptp_fun__i_val_42_type, type, ( % 6.35/6.64 tptp_fun__i_val_42: $i)). % 6.35/6.64 tff(tptp_fun__i_val_74_type, type, ( % 6.35/6.64 tptp_fun__i_val_74: $i)). % 6.35/6.64 tff(tptp_fun__i_val_41_type, type, ( % 6.35/6.64 tptp_fun__i_val_41: $i)). % 6.35/6.64 tff(tptp_fun__i_val_14_type, type, ( % 6.35/6.64 tptp_fun__i_val_14: $i)). % 6.35/6.64 tff(tptp_fun__i_val_80_type, type, ( % 6.35/6.64 tptp_fun__i_val_80: $i)). % 6.35/6.64 tff(tptp_fun__i_val_83_type, type, ( % 6.35/6.64 tptp_fun__i_val_83: $i)). % 6.35/6.64 tff(tptp_fun__i_val_4_type, type, ( % 6.35/6.64 tptp_fun__i_val_4: $i)). % 6.35/6.64 tff(tptp_fun__i_val_46_type, type, ( % 6.35/6.64 tptp_fun__i_val_46: $i)). % 6.35/6.64 tff(tptp_fun__i_val_43_type, type, ( % 6.35/6.64 tptp_fun__i_val_43: $i)). % 6.35/6.64 tff(tptp_fun__i_val_18_type, type, ( % 6.35/6.64 tptp_fun__i_val_18: $i)). % 6.35/6.64 tff(tptp_fun__i_val_11_type, type, ( % 6.35/6.64 tptp_fun__i_val_11: $i)). % 6.35/6.64 tff(tptp_fun__i_val_75_type, type, ( % 6.35/6.64 tptp_fun__i_val_75: $i)). % 6.35/6.64 tff(tptp_fun__i_val_30_type, type, ( % 6.35/6.64 tptp_fun__i_val_30: $i)). % 6.35/6.64 tff(tptp_fun__i_val_36_type, type, ( % 6.35/6.64 tptp_fun__i_val_36: $i)). % 6.35/6.64 tff(tptp_fun__i_val_28_type, type, ( % 6.35/6.64 tptp_fun__i_val_28: $i)). % 6.35/6.64 tff(tptp_fun__i_val_19_type, type, ( % 6.35/6.64 tptp_fun__i_val_19: $i)). % 6.35/6.64 tff(tptp_fun__i_val_90_type, type, ( % 6.35/6.64 tptp_fun__i_val_90: $i)). % 6.35/6.64 tff(tptp_fun__i_val_6_type, type, ( % 6.35/6.64 tptp_fun__i_val_6: $i)). % 6.35/6.64 tff(tptp_fun__i_val_22_type, type, ( % 6.35/6.64 tptp_fun__i_val_22: $i)). % 6.35/6.64 tff(tptp_fun__i_val_51_type, type, ( % 6.35/6.64 tptp_fun__i_val_51: $i)). % 6.35/6.64 tff(tptp_fun__i_val_25_type, type, ( % 6.35/6.64 tptp_fun__i_val_25: $i)). % 6.35/6.64 tff(tptp_fun__i_val_100_type, type, ( % 6.35/6.64 tptp_fun__i_val_100: $i)). % 6.35/6.64 tff(tptp_fun__i_val_107_type, type, ( % 6.35/6.64 tptp_fun__i_val_107: $i)). % 6.35/6.64 tff(tptp_fun__i_val_3_type, type, ( % 6.35/6.64 tptp_fun__i_val_3: $i)). % 6.35/6.64 tff(tptp_fun__i_val_91_type, type, ( % 6.35/6.64 tptp_fun__i_val_91: $i)). % 6.35/6.64 tff(tptp_fun__i_val_54_type, type, ( % 6.35/6.64 tptp_fun__i_val_54: $i)). % 6.35/6.64 tff(tptp_fun__i_val_96_type, type, ( % 6.35/6.64 tptp_fun__i_val_96: $i)). % 6.35/6.64 tff(tptp_fun__i_val_108_type, type, ( % 6.35/6.64 tptp_fun__i_val_108: $i)). % 6.35/6.64 tff(tptp_fun__i_val_62_type, type, ( % 6.35/6.64 tptp_fun__i_val_62: $i)). % 6.35/6.64 tff(tptp_fun__i_val_103_type, type, ( % 6.35/6.64 tptp_fun__i_val_103: $i)). % 6.35/6.64 tff(tptp_fun__i_val_89_type, type, ( % 6.35/6.64 tptp_fun__i_val_89: $i)). % 6.35/6.64 tff(tptp_fun__i_val_92_type, type, ( % 6.35/6.64 tptp_fun__i_val_92: $i)). % 6.35/6.64 tff(tptp_fun__i_val_81_type, type, ( % 6.35/6.64 tptp_fun__i_val_81: $i)). % 6.35/6.64 tff(tptp_fun__i_val_33_type, type, ( % 6.35/6.64 tptp_fun__i_val_33: $i)). % 6.35/6.64 tff(tptp_fun__i_val_50_type, type, ( % 6.35/6.64 tptp_fun__i_val_50: $i)). % 6.35/6.64 tff(tptp_fun__i_val_53_type, type, ( % 6.35/6.64 tptp_fun__i_val_53: $i)). % 6.35/6.64 tff(tptp_fun__i_val_109_type, type, ( % 6.35/6.64 tptp_fun__i_val_109: $i)). % 6.35/6.64 tff(tptp_fun__i_val_101_type, type, ( % 6.35/6.64 tptp_fun__i_val_101: $i)). % 6.35/6.64 tff(tptp_fun__i_val_10_type, type, ( % 6.35/6.64 tptp_fun__i_val_10: $i)). % 6.35/6.64 tff(tptp_fun__i_val_110_type, type, ( % 6.35/6.64 tptp_fun__i_val_110: $i)). % 6.35/6.64 tff(tptp_fun__i_val_73_type, type, ( % 6.35/6.64 tptp_fun__i_val_73: $i)). % 6.35/6.64 tff(tptp_fun__i_val_95_type, type, ( % 6.35/6.64 tptp_fun__i_val_95: $i)). % 6.35/6.64 tff(tptp_fun__i_val_2_type, type, ( % 6.35/6.64 tptp_fun__i_val_2: $i)). % 6.35/6.64 tff(tptp_fun__i_val_5_type, type, ( % 6.35/6.64 tptp_fun__i_val_5: $i)). % 6.35/6.64 tff(tptp_fun__i_val_26_type, type, ( % 6.35/6.64 tptp_fun__i_val_26: $i)). % 6.35/6.64 tff(tptp_fun__i_val_31_type, type, ( % 6.35/6.64 tptp_fun__i_val_31: $i)). % 6.35/6.64 tff(tptp_fun__i_val_20_type, type, ( % 6.35/6.64 tptp_fun__i_val_20: $i)). % 6.35/6.64 tff(tptp_fun__i_val_111_type, type, ( % 6.35/6.64 tptp_fun__i_val_111: $i)). % 6.35/6.64 tff(tptp_fun__i_val_99_type, type, ( % 6.35/6.64 tptp_fun__i_val_99: $i)). % 6.35/6.64 tff(tptp_fun__i_val_55_type, type, ( % 6.35/6.64 tptp_fun__i_val_55: $i)). % 6.35/6.64 tff(tptp_fun__i_val_38_type, type, ( % 6.35/6.64 tptp_fun__i_val_38: $i)). % 6.35/6.64 tff(tptp_fun__i_val_16_type, type, ( % 6.35/6.64 tptp_fun__i_val_16: $i)). % 6.35/6.64 tff(tptp_fun__i_val_71_type, type, ( % 6.35/6.64 tptp_fun__i_val_71: $i)). % 6.35/6.64 tff(tptp_fun__i_val_67_type, type, ( % 6.35/6.64 tptp_fun__i_val_67: $i)). % 6.35/6.64 tff(tptp_fun__i_val_8_type, type, ( % 6.35/6.64 tptp_fun__i_val_8: $i)). % 6.35/6.64 tff(tptp_fun__i_val_78_type, type, ( % 6.35/6.64 tptp_fun__i_val_78: $i)). % 6.35/6.64 tff(tptp_fun__i_val_65_type, type, ( % 6.35/6.64 tptp_fun__i_val_65: $i)). % 6.35/6.64 tff(tptp_fun__i_val_52_type, type, ( % 6.35/6.64 tptp_fun__i_val_52: $i)). % 6.35/6.64 tff(tptp_fun__i_val_85_type, type, ( % 6.35/6.64 tptp_fun__i_val_85: $i)). % 6.35/6.64 tff(tptp_fun__i_val_0_type, type, ( % 6.35/6.64 tptp_fun__i_val_0: $i)). % 6.35/6.64 tff(tptp_fun__i_val_56_type, type, ( % 6.35/6.64 tptp_fun__i_val_56: $i)). % 6.35/6.64 tff(tptp_fun__i_val_112_type, type, ( % 6.35/6.64 tptp_fun__i_val_112: $i)). % 6.35/6.64 tff(tptp_fun__i_val_98_type, type, ( % 6.35/6.64 tptp_fun__i_val_98: $i)). % 6.35/6.64 tff(tptp_fun__i_val_39_type, type, ( % 6.35/6.64 tptp_fun__i_val_39: $i)). % 6.35/6.64 tff(tptp_fun__i_val_21_type, type, ( % 6.35/6.64 tptp_fun__i_val_21: $i)). % 6.35/6.64 tff(tptp_fun__i_val_13_type, type, ( % 6.35/6.64 tptp_fun__i_val_13: $i)). % 6.35/6.64 tff(tptp_fun__i_val_68_type, type, ( % 6.35/6.64 tptp_fun__i_val_68: $i)). % 6.35/6.64 tff(tptp_fun__i_val_77_type, type, ( % 6.35/6.64 tptp_fun__i_val_77: $i)). % 6.35/6.64 tff(tptp_fun__i_val_64_type, type, ( % 6.35/6.64 tptp_fun__i_val_64: $i)). % 6.35/6.64 tff(tptp_fun__i_val_70_type, type, ( % 6.35/6.64 tptp_fun__i_val_70: $i)). % 6.35/6.64 tff(tptp_fun__i_val_48_type, type, ( % 6.35/6.64 tptp_fun__i_val_48: $i)). % 6.35/6.64 tff(tptp_fun__i_val_93_type, type, ( % 6.35/6.64 tptp_fun__i_val_93: $i)). % 6.35/6.64 tff(tptp_fun__i_val_23_type, type, ( % 6.35/6.64 tptp_fun__i_val_23: $i)). % 6.35/6.64 tff(tptp_fun__i_val_58_type, type, ( % 6.35/6.64 tptp_fun__i_val_58: $i)). % 6.35/6.64 tff(tptp_fun__i_val_86_type, type, ( % 6.35/6.64 tptp_fun__i_val_86: $i)). % 6.35/6.64 tff(tptp_fun__i_val_88_type, type, ( % 6.35/6.64 tptp_fun__i_val_88: $i)). % 6.35/6.64 tff(tptp_fun__i_val_97_type, type, ( % 6.35/6.64 tptp_fun__i_val_97: $i)). % 6.35/6.64 tff(tptp_fun__i_val_72_type, type, ( % 6.35/6.64 tptp_fun__i_val_72: $i)). % 6.35/6.64 tff(tptp_fun__i_val_59_type, type, ( % 6.35/6.64 tptp_fun__i_val_59: $i)). % 6.35/6.64 tff(tptp_fun__i_val_45_type, type, ( % 6.35/6.64 tptp_fun__i_val_45: $i)). % 6.35/6.64 tff(p4_type, type, ( % 6.35/6.64 p4: $i > $o)). % 6.35/6.64 tff(p16_type, type, ( % 6.35/6.64 p16: $i > $o)). % 6.35/6.64 tff(p6_type, type, ( % 6.35/6.64 p6: $i > $o)). % 6.35/6.64 tff(r1_type, type, ( % 6.35/6.64 r1: ( $i * $i ) > $o)). % 6.35/6.64 tff(p8_type, type, ( % 6.35/6.64 p8: $i > $o)). % 6.35/6.64 tff(p13_type, type, ( % 6.35/6.64 p13: $i > $o)). % 6.35/6.64 tff(p11_type, type, ( % 6.35/6.64 p11: $i > $o)). % 6.35/6.64 tff(p9_type, type, ( % 6.35/6.64 p9: $i > $o)). % 6.35/6.64 tff(p10_type, type, ( % 6.35/6.64 p10: $i > $o)). % 6.35/6.64 tff(p14_type, type, ( % 6.35/6.64 p14: $i > $o)). % 6.35/6.64 tff(formula1, axiom, % 6.35/6.64 ![X0: $i] : (p5(X0) <=> ((~(k!400(X0) = $i!val!94)) & (~(k!400(X0) = $i!val!63)) & (~(k!400(X0) = $i!val!47)) & (~(k!400(X0) = $i!val!44)) & (~(k!400(X0) = $i!val!34)) & (~(k!400(X0) = $i!val!1))))). % 6.35/6.64 tff(formula2, axiom, % 6.35/6.64 ![X0: $i] : (p2(X0) <=> ((~(k!400(X0) = $i!val!106)) & (~(k!400(X0) = $i!val!1))))). % 6.35/6.64 tff(formula3, axiom, % 6.35/6.64 ![X0: $i] : (p12(X0) <=> ((k!400(X0) = $i!val!12) | (k!400(X0) = $i!val!27)))). % 6.35/6.64 tff(formula4, axiom, % 6.35/6.64 ![X0: $i] : (p3(X0) <=> ((~(k!400(X0) = $i!val!104)) & (~(k!400(X0) = $i!val!102)) & (~(k!400(X0) = $i!val!87)) & (~(k!400(X0) = $i!val!76)) & (~(k!400(X0) = $i!val!66)) & (~(k!400(X0) = $i!val!37)) & (~(k!400(X0) = $i!val!35)) & (~(k!400(X0) = $i!val!32)) & (~(k!400(X0) = $i!val!24))))). % 6.35/6.64 tff(formula5, axiom, % 6.35/6.64 ![X0: $i] : (p7(X0) <=> $false)). % 6.35/6.64 tff(formula6, axiom, % 6.35/6.64 ![X0: $i] : (p1(X0) <=> $false)). % 6.35/6.64 tff(formula7, axiom, % 6.35/6.64 ![X0: $i] : (p15(X0) <=> (k!400(X0) = $i!val!1))). % 6.35/6.64 tff(formula8, axiom, % 6.35/6.64 ![X0: $i] : (p17(X0) <=> $false)). % 6.35/6.64 tff(formula9, axiom, % 6.35/6.64 k!400($i!val!66) = $i!val!66). % 6.35/6.64 tff(formula10, axiom, % 6.35/6.64 k!400($i!val!69) = $i!val!69). % 6.35/6.64 tff(formula11, axiom, % 6.35/6.64 k!400($i!val!35) = $i!val!35). % 6.35/6.64 tff(formula12, axiom, % 6.35/6.64 k!400($i!val!84) = $i!val!84). % 6.35/6.64 tff(formula13, axiom, % 6.35/6.64 k!400($i!val!76) = $i!val!76). % 6.35/6.64 tff(formula14, axiom, % 6.35/6.64 k!400($i!val!60) = $i!val!60). % 6.35/6.64 tff(formula15, axiom, % 6.35/6.64 k!400($i!val!12) = $i!val!12). % 6.35/6.64 tff(formula16, axiom, % 6.35/6.64 k!400($i!val!29) = $i!val!29). % 6.35/6.64 tff(formula17, axiom, % 6.35/6.64 k!400($i!val!17) = $i!val!17). % 6.35/6.64 tff(formula18, axiom, % 6.35/6.64 k!400($i!val!40) = $i!val!40). % 6.35/6.64 tff(formula19, axiom, % 6.35/6.64 k!400($i!val!15) = $i!val!15). % 6.35/6.64 tff(formula20, axiom, % 6.35/6.64 k!400($i!val!61) = $i!val!61). % 6.35/6.64 tff(formula21, axiom, % 6.35/6.64 k!400($i!val!79) = $i!val!79). % 6.35/6.64 tff(formula22, axiom, % 6.35/6.64 k!400($i!val!49) = $i!val!49). % 6.35/6.64 tff(formula23, axiom, % 6.35/6.64 k!400($i!val!82) = $i!val!82). % 6.35/6.64 tff(formula24, axiom, % 6.35/6.64 k!400($i!val!105) = $i!val!105). % 6.35/6.64 tff(formula25, axiom, % 6.35/6.64 k!400($i!val!57) = $i!val!57). % 6.35/6.64 tff(formula26, axiom, % 6.35/6.64 k!400($i!val!7) = $i!val!7). % 6.35/6.64 tff(formula27, axiom, % 6.35/6.64 k!400($i!val!1) = $i!val!1). % 6.35/6.64 tff(formula28, axiom, % 6.35/6.64 k!400($i!val!42) = $i!val!42). % 6.35/6.64 tff(formula29, axiom, % 6.35/6.64 k!400($i!val!94) = $i!val!94). % 6.35/6.64 tff(formula30, axiom, % 6.35/6.64 k!400($i!val!74) = $i!val!74). % 6.35/6.64 tff(formula31, axiom, % 6.35/6.64 k!400($i!val!41) = $i!val!41). % 6.35/6.64 tff(formula32, axiom, % 6.35/6.64 k!400($i!val!14) = $i!val!14). % 6.35/6.64 tff(formula33, axiom, % 6.35/6.64 k!400($i!val!106) = $i!val!106). % 6.35/6.64 tff(formula34, axiom, % 6.35/6.64 k!400($i!val!80) = $i!val!80). % 6.35/6.64 tff(formula35, axiom, % 6.35/6.64 k!400($i!val!83) = $i!val!83). % 6.35/6.64 tff(formula36, axiom, % 6.35/6.64 k!400($i!val!4) = $i!val!4). % 6.35/6.64 tff(formula37, axiom, % 6.35/6.64 k!400($i!val!46) = $i!val!46). % 6.35/6.64 tff(formula38, axiom, % 6.35/6.64 k!400($i!val!63) = $i!val!63). % 6.35/6.64 tff(formula39, axiom, % 6.35/6.64 k!400($i!val!87) = $i!val!87). % 6.35/6.64 tff(formula40, axiom, % 6.35/6.64 k!400($i!val!43) = $i!val!43). % 6.35/6.64 tff(formula41, axiom, % 6.35/6.64 k!400($i!val!18) = $i!val!18). % 6.35/6.64 tff(formula42, axiom, % 6.35/6.64 k!400($i!val!24) = $i!val!24). % 6.35/6.64 tff(formula43, axiom, % 6.35/6.64 k!400($i!val!11) = $i!val!11). % 6.35/6.64 tff(formula44, axiom, % 6.35/6.64 k!400($i!val!75) = $i!val!75). % 6.35/6.64 tff(formula45, axiom, % 6.35/6.64 k!400($i!val!30) = $i!val!30). % 6.35/6.64 tff(formula46, axiom, % 6.35/6.64 k!400($i!val!36) = $i!val!36). % 6.35/6.64 tff(formula47, axiom, % 6.35/6.64 k!400($i!val!28) = $i!val!28). % 6.35/6.64 tff(formula48, axiom, % 6.35/6.64 k!400($i!val!19) = $i!val!19). % 6.35/6.64 tff(formula49, axiom, % 6.35/6.64 k!400($i!val!90) = $i!val!90). % 6.35/6.64 tff(formula50, axiom, % 6.35/6.64 k!400($i!val!6) = $i!val!6). % 6.35/6.64 tff(formula51, axiom, % 6.35/6.64 k!400($i!val!22) = $i!val!22). % 6.35/6.64 tff(formula52, axiom, % 6.35/6.64 k!400($i!val!51) = $i!val!51). % 6.35/6.64 tff(formula53, axiom, % 6.35/6.64 k!400($i!val!27) = $i!val!27). % 6.35/6.64 tff(formula54, axiom, % 6.35/6.64 k!400($i!val!25) = $i!val!25). % 6.35/6.64 tff(formula55, axiom, % 6.35/6.64 k!400($i!val!100) = $i!val!100). % 6.35/6.64 tff(formula56, axiom, % 6.35/6.64 k!400($i!val!107) = $i!val!107). % 6.35/6.64 tff(formula57, axiom, % 6.35/6.64 k!400($i!val!3) = $i!val!3). % 6.35/6.64 tff(formula58, axiom, % 6.35/6.64 k!400($i!val!91) = $i!val!91). % 6.35/6.64 tff(formula59, axiom, % 6.35/6.64 k!400($i!val!54) = $i!val!54). % 6.35/6.64 tff(formula60, axiom, % 6.35/6.64 k!400($i!val!34) = $i!val!34). % 6.35/6.64 tff(formula61, axiom, % 6.35/6.64 k!400($i!val!96) = $i!val!96). % 6.35/6.64 tff(formula62, axiom, % 6.35/6.64 k!400($i!val!108) = $i!val!108). % 6.35/6.64 tff(formula63, axiom, % 6.35/6.64 k!400($i!val!62) = $i!val!62). % 6.35/6.64 tff(formula64, axiom, % 6.35/6.64 k!400($i!val!103) = $i!val!103). % 6.35/6.64 tff(formula65, axiom, % 6.35/6.64 k!400($i!val!89) = $i!val!89). % 6.35/6.64 tff(formula66, axiom, % 6.35/6.64 k!400($i!val!92) = $i!val!92). % 6.35/6.64 tff(formula67, axiom, % 6.35/6.64 k!400($i!val!81) = $i!val!81). % 6.35/6.64 tff(formula68, axiom, % 6.35/6.64 k!400($i!val!33) = $i!val!33). % 6.35/6.64 tff(formula69, axiom, % 6.35/6.64 k!400($i!val!50) = $i!val!50). % 6.35/6.64 tff(formula70, axiom, % 6.35/6.64 k!400($i!val!53) = $i!val!53). % 6.35/6.64 tff(formula71, axiom, % 6.35/6.64 k!400($i!val!32) = $i!val!32). % 6.35/6.64 tff(formula72, axiom, % 6.35/6.64 k!400($i!val!109) = $i!val!109). % 6.35/6.64 tff(formula73, axiom, % 6.35/6.64 k!400($i!val!101) = $i!val!101). % 6.35/6.64 tff(formula74, axiom, % 6.35/6.64 k!400($i!val!10) = $i!val!10). % 6.35/6.64 tff(formula75, axiom, % 6.35/6.64 k!400($i!val!110) = $i!val!110). % 6.35/6.64 tff(formula76, axiom, % 6.35/6.64 k!400($i!val!73) = $i!val!73). % 6.35/6.64 tff(formula77, axiom, % 6.35/6.64 k!400($i!val!95) = $i!val!95). % 6.35/6.64 tff(formula78, axiom, % 6.35/6.64 k!400($i!val!2) = $i!val!2). % 6.35/6.64 tff(formula79, axiom, % 6.35/6.64 k!400($i!val!5) = $i!val!5). % 6.35/6.64 tff(formula80, axiom, % 6.35/6.64 k!400($i!val!26) = $i!val!26). % 6.35/6.64 tff(formula81, axiom, % 6.35/6.64 k!400($i!val!37) = $i!val!37). % 6.35/6.64 tff(formula82, axiom, % 6.35/6.64 k!400($i!val!31) = $i!val!31). % 6.35/6.64 tff(formula83, axiom, % 6.35/6.64 k!400($i!val!20) = $i!val!20). % 6.35/6.64 tff(formula84, axiom, % 6.35/6.64 k!400($i!val!111) = $i!val!111). % 6.35/6.64 tff(formula85, axiom, % 6.35/6.64 k!400($i!val!102) = $i!val!102). % 6.35/6.64 tff(formula86, axiom, % 6.35/6.64 k!400($i!val!99) = $i!val!99). % 6.35/6.64 tff(formula87, axiom, % 6.35/6.64 k!400($i!val!47) = $i!val!47). % 6.35/6.64 tff(formula88, axiom, % 6.35/6.64 k!400($i!val!55) = $i!val!55). % 6.35/6.64 tff(formula89, axiom, % 6.35/6.64 k!400($i!val!38) = $i!val!38). % 6.35/6.64 tff(formula90, axiom, % 6.35/6.64 k!400($i!val!16) = $i!val!16). % 6.35/6.64 tff(formula91, axiom, % 6.35/6.64 k!400($i!val!71) = $i!val!71). % 6.35/6.64 tff(formula92, axiom, % 6.35/6.64 k!400($i!val!67) = $i!val!67). % 6.35/6.64 tff(formula93, axiom, % 6.35/6.64 k!400($i!val!8) = $i!val!8). % 6.35/6.64 tff(formula94, axiom, % 6.35/6.64 k!400($i!val!78) = $i!val!78). % 6.35/6.64 tff(formula95, axiom, % 6.35/6.64 k!400($i!val!65) = $i!val!65). % 6.35/6.64 tff(formula96, axiom, % 6.35/6.64 k!400($i!val!52) = $i!val!52). % 6.35/6.64 tff(formula97, axiom, % 6.35/6.64 k!400($i!val!85) = $i!val!85). % 6.35/6.64 tff(formula98, axiom, % 6.35/6.64 k!400($i!val!0) = $i!val!0). % 6.35/6.64 tff(formula99, axiom, % 6.35/6.64 k!400($i!val!56) = $i!val!56). % 6.35/6.64 tff(formula100, axiom, % 6.35/6.64 k!400($i!val!112) = $i!val!112). % 6.35/6.64 tff(formula101, axiom, % 6.35/6.64 k!400($i!val!98) = $i!val!98). % 6.35/6.64 tff(formula102, axiom, % 6.35/6.64 k!400($i!val!39) = $i!val!39). % 6.35/6.64 tff(formula103, axiom, % 6.35/6.64 k!400($i!val!21) = $i!val!21). % 6.35/6.64 tff(formula104, axiom, % 6.35/6.64 k!400($i!val!13) = $i!val!13). % 6.35/6.64 tff(formula105, axiom, % 6.35/6.64 k!400($i!val!68) = $i!val!68). % 6.35/6.64 tff(formula106, axiom, % 6.35/6.64 k!400($i!val!44) = $i!val!44). % 6.35/6.64 tff(formula107, axiom, % 6.35/6.64 k!400($i!val!77) = $i!val!77). % 6.35/6.64 tff(formula108, axiom, % 6.35/6.64 k!400($i!val!64) = $i!val!64). % 6.35/6.64 tff(formula109, axiom, % 6.35/6.64 k!400($i!val!70) = $i!val!70). % 6.35/6.64 tff(formula110, axiom, % 6.35/6.64 k!400($i!val!48) = $i!val!48). % 6.35/6.64 tff(formula111, axiom, % 6.35/6.64 k!400($i!val!93) = $i!val!93). % 6.35/6.64 tff(formula112, axiom, % 6.35/6.64 k!400($i!val!23) = $i!val!23). % 6.35/6.64 tff(formula113, axiom, % 6.35/6.64 k!400($i!val!58) = $i!val!58). % 6.35/6.64 tff(formula114, axiom, % 6.35/6.64 k!400($i!val!86) = $i!val!86). % 6.35/6.64 tff(formula115, axiom, % 6.35/6.64 k!400($i!val!104) = $i!val!104). % 6.35/6.64 tff(formula116, axiom, % 6.35/6.64 k!400($i!val!88) = $i!val!88). % 6.35/6.64 tff(formula117, axiom, % 6.35/6.64 k!400($i!val!97) = $i!val!97). % 6.35/6.64 tff(formula118, axiom, % 6.35/6.64 k!400($i!val!72) = $i!val!72). % 6.35/6.64 tff(formula119, axiom, % 6.35/6.64 k!400($i!val!59) = $i!val!59). % 6.35/6.64 tff(formula120, axiom, % 6.35/6.64 ![X0: $i] : ((~((($i!val!66 = X0)) | (($i!val!69 = X0)) | (($i!val!35 = X0)) | (($i!val!84 = X0)) | (($i!val!76 = X0)) | (($i!val!60 = X0)) | (($i!val!12 = X0)) | (($i!val!29 = X0)) | (($i!val!17 = X0)) | (($i!val!40 = X0)) | (($i!val!15 = X0)) | (($i!val!61 = X0)) | (($i!val!79 = X0)) | (($i!val!49 = X0)) | (($i!val!82 = X0)) | (($i!val!105 = X0)) | (($i!val!57 = X0)) | (($i!val!7 = X0)) | (($i!val!1 = X0)) | (($i!val!42 = X0)) | (($i!val!94 = X0)) | (($i!val!74 = X0)) | (($i!val!41 = X0)) | (($i!val!14 = X0)) | (($i!val!106 = X0)) | (($i!val!80 = X0)) | (($i!val!83 = X0)) | (($i!val!4 = X0)) | (($i!val!46 = X0)) | (($i!val!63 = X0)) | (($i!val!87 = X0)) | (($i!val!43 = X0)) | (($i!val!18 = X0)) | (($i!val!24 = X0)) | (($i!val!11 = X0)) | (($i!val!75 = X0)) | (($i!val!30 = X0)) | (($i!val!36 = X0)) | (($i!val!28 = X0)) | (($i!val!19 = X0)) | (($i!val!90 = X0)) | (($i!val!6 = X0)) | (($i!val!22 = X0)) | (($i!val!51 = X0)) | (($i!val!27 = X0)) | (($i!val!25 = X0)) | (($i!val!100 = X0)) | (($i!val!107 = X0)) | (($i!val!3 = X0)) | (($i!val!91 = X0)) | (($i!val!54 = X0)) | (($i!val!34 = X0)) | (($i!val!96 = X0)) | (($i!val!108 = X0)) | (($i!val!62 = X0)) | (($i!val!103 = X0)) | (($i!val!89 = X0)) | (($i!val!92 = X0)) | (($i!val!81 = X0)) | (($i!val!33 = X0)) | (($i!val!50 = X0)) | (($i!val!53 = X0)) | (($i!val!32 = X0)) | (($i!val!109 = X0)) | (($i!val!101 = X0)) | (($i!val!10 = X0)) | (($i!val!110 = X0)) | (($i!val!73 = X0)) | (($i!val!95 = X0)) | (($i!val!2 = X0)) | (($i!val!5 = X0)) | (($i!val!26 = X0)) | (($i!val!37 = X0)) | (($i!val!31 = X0)) | (($i!val!20 = X0)) | (($i!val!111 = X0)) | (($i!val!102 = X0)) | (($i!val!99 = X0)) | (($i!val!47 = X0)) | (($i!val!55 = X0)) | (($i!val!38 = X0)) | (($i!val!16 = X0)) | (($i!val!71 = X0)) | (($i!val!67 = X0)) | (($i!val!8 = X0)) | (($i!val!78 = X0)) | (($i!val!65 = X0)) | (($i!val!52 = X0)) | (($i!val!85 = X0)) | (($i!val!0 = X0)) | (($i!val!56 = X0)) | (($i!val!112 = X0)) | (($i!val!98 = X0)) | (($i!val!39 = X0)) | (($i!val!21 = X0)) | (($i!val!13 = X0)) | (($i!val!68 = X0)) | (($i!val!44 = X0)) | (($i!val!77 = X0)) | (($i!val!64 = X0)) | (($i!val!70 = X0)) | (($i!val!48 = X0)) | (($i!val!93 = X0)) | (($i!val!23 = X0)) | (($i!val!58 = X0)) | (($i!val!86 = X0)) | (($i!val!104 = X0)) | (($i!val!88 = X0)) | (($i!val!97 = X0)) | (($i!val!72 = X0)) | (($i!val!59 = X0)))) => (k!400(X0) = $i!val!45))). % 6.35/6.65 tff(formula121, axiom, % 6.35/6.65 ![X0: $i] : (p4(X0) <=> ((k!400(X0) = $i!val!63) | (k!400(X0) = $i!val!46)))). % 6.35/6.65 tff(formula122, axiom, % 6.35/6.65 ![X0: $i] : (p16(X0) <=> $false)). % 6.35/6.65 tff(formula123, axiom, % 6.35/6.65 ![X0: $i] : (p6(X0) <=> ((k!400(X0) = $i!val!28) | (k!400(X0) = $i!val!1) | (k!400(X0) = $i!val!12)))). % 6.35/6.65 tff(formula124, axiom, % 6.35/6.65 ![X0: $i, X1: $i] : (r1(X0, X1) <=> (((k!400(X1) = $i!val!0) & (k!400(X0) = $i!val!12)) | ((k!400(X1) = $i!val!0) & (k!400(X0) = $i!val!1)) | ((k!400(X1) = $i!val!12) & (k!400(X0) = $i!val!32)) | ((k!400(X1) = $i!val!12) & (k!400(X0) = $i!val!31)) | ((k!400(X1) = $i!val!12) & (k!400(X0) = $i!val!28)) | ((k!400(X1) = $i!val!1) & (k!400(X0) = $i!val!25)) | ((k!400(X1) = $i!val!1) & (k!400(X0) = $i!val!18)) | ((k!400(X1) = $i!val!1) & (k!400(X0) = $i!val!24)) | ((k!400(X1) = $i!val!1) & (k!400(X0) = $i!val!23)) | ((k!400(X1) = $i!val!1) & (k!400(X0) = $i!val!21)) | ((k!400(X1) = $i!val!1) & (k!400(X0) = $i!val!19)) | ((k!400(X1) = $i!val!1) & (k!400(X0) = $i!val!20)) | ((k!400(X1) = $i!val!36) & (k!400(X0) = $i!val!37)) | ((k!400(X1) = $i!val!14) & (k!400(X0) = $i!val!35)) | ((k!400(X1) = $i!val!12) & (k!400(X0) = $i!val!34)) | ((k!400(X1) = $i!val!54) & (k!400(X0) = $i!val!56)) | ((k!400(X1) = $i!val!24) & (k!400(X0) = $i!val!54)) | ((k!400(X1) = $i!val!31) & (k!400(X0) = $i!val!50)) | ((k!400(X1) = $i!val!48) & (k!400(X0) = $i!val!49)) | ((k!400(X1) = $i!val!23) & (k!400(X0) = $i!val!47)) | ((k!400(X1) = $i!val!23) & (k!400(X0) = $i!val!46)) | ((k!400(X1) = $i!val!43) & (k!400(X0) = $i!val!42)) | ((k!400(X1) = $i!val!24) & (k!400(X0) = $i!val!40)) | ((k!400(X1) = $i!val!25) & (k!400(X0) = $i!val!43)) | ((k!400(X1) = $i!val!49) & (k!400(X0) = $i!val!61)) | ((k!400(X1) = $i!val!49) & (k!400(X0) = $i!val!60)) | ((k!400(X1) = $i!val!43) & (k!400(X0) = $i!val!59)) | ((k!400(X1) = $i!val!57) & (k!400(X0) = $i!val!58)) | ((k!400(X1) = $i!val!77) & (k!400(X0) = $i!val!78)) | ((k!400(X1) = $i!val!71) & (k!400(X0) = $i!val!72)) | ((k!400(X1) = $i!val!53) & (k!400(X0) = $i!val!71)) | ((k!400(X1) = $i!val!46) & (k!400(X0) = $i!val!70)) | ((k!400(X1) = $i!val!45) & (k!400(X0) = $i!val!69)) | ((k!400(X1) = $i!val!50) & (k!400(X0) = $i!val!66)) | ((k!400(X1) = $i!val!40) & (k!400(X0) = $i!val!65)) | ((k!400(X1) = $i!val!68) & (k!400(X0) = $i!val!67)) | ((k!400(X1) = $i!val!57) & (k!400(X0) = $i!val!83)) | ((k!400(X1) = $i!val!83) & (k!400(X0) = $i!val!82)) | ((k!400(X1) = $i!val!57) & (k!400(X0) = $i!val!81)) | ((k!400(X1) = $i!val!80) & (k!400(X0) = $i!val!79)) | ((k!400(X1) = $i!val!88) & (k!400(X0) = $i!val!102)) | ((k!400(X1) = $i!val!100) & (k!400(X0) = $i!val!101)) | ((k!400(X1) = $i!val!86) & (k!400(X0) = $i!val!95)) | ((k!400(X1) = $i!val!65) & (k!400(X0) = $i!val!94)) | ((k!400(X1) = $i!val!65) & (k!400(X0) = $i!val!93)) | ((k!400(X1) = $i!val!66) & (k!400(X0) = $i!val!89)) | ((k!400(X1) = $i!val!88) & (k!400(X0) = $i!val!87)) | ((k!400(X1) = $i!val!89) & (k!400(X0) = $i!val!90)) | ((k!400(X1) = $i!val!81) & (k!400(X0) = $i!val!106)) | ((k!400(X1) = $i!val!83) & (k!400(X0) = $i!val!105)) | ((k!400(X1) = $i!val!83) & (k!400(X0) = $i!val!104)) | ((k!400(X1) = $i!val!82) & (k!400(X0) = $i!val!103)) | ((k!400(X1) = $i!val!111) & (k!400(X0) = $i!val!112)) | ((k!400(X1) = $i!val!100) & (k!400(X0) = $i!val!111)) | ((k!400(X1) = $i!val!101) & (k!400(X0) = $i!val!109)) | ((k!400(X1) = $i!val!54) & (k!400(X0) = $i!val!55)) | ((k!400(X1) = $i!val!12) & (k!400(X0) = $i!val!33)) | ((k!400(X1) = $i!val!29) & (k!400(X0) = $i!val!30)) | ((k!400(X1) = $i!val!42) & (k!400(X0) = $i!val!57)) | ((k!400(X1) = $i!val!23) & (k!400(X0) = $i!val!53)) | ((k!400(X1) = $i!val!23) & (k!400(X0) = $i!val!45)) | ((k!400(X1) = $i!val!64) & (k!400(X0) = $i!val!92)) | ((k!400(X1) = $i!val!78) & (k!400(X0) = $i!val!80)) | ((k!400(X1) = $i!val!39) & (k!400(X0) = $i!val!77)) | ((k!400(X1) = $i!val!39) & (k!400(X0) = $i!val!76)) | ((k!400(X1) = $i!val!92) & (k!400(X0) = $i!val!100)) | ((k!400(X1) = $i!val!92) & (k!400(X0) = $i!val!99)) | ((k!400(X1) = $i!val!12) & (k!400(X0) = $i!val!29)) | ((k!400(X1) = $i!val!1) & (k!400(X0) = $i!val!22)) | ((k!400(X1) = $i!val!12) & (k!400(X0) = $i!val!13)) | ((k!400(X1) = $i!val!11) & (k!400(X0) = $i!val!16)) | ((k!400(X1) = $i!val!14) & (k!400(X0) = $i!val!15)) | ((k!400(X1) = $i!val!7) & (k!400(X0) = $i!val!14)) | ((k!400(X1) = $i!val!12) & (k!400(X0) = $i!val!27)) | ((k!400(X1) = $i!val!21) & (k!400(X0) = $i!val!44)) | ((k!400(X1) = $i!val!32) & (k!400(X0) = $i!val!36)) | ((k!400(X1) = $i!val!40) & (k!400(X0) = $i!val!41)) | ((k!400(X1) = $i!val!32) & (k!400(X0) = $i!val!39)) | ((k!400(X1) = $i!val!39) & (k!400(X0) = $i!val!38)) | ((k!400(X1) = $i!val!53) & (k!400(X0) = $i!val!52)) | ((k!400(X1) = $i!val!50) & (k!400(X0) = $i!val!68)) | ((k!400(X1) = $i!val!65) & (k!400(X0) = $i!val!64)) | ((k!400(X1) = $i!val!48) & (k!400(X0) = $i!val!63)) | ((k!400(X1) = $i!val!48) & (k!400(X0) = $i!val!62)) | ((k!400(X1) = $i!val!38) & (k!400(X0) = $i!val!75)) | ((k!400(X1) = $i!val!75) & (k!400(X0) = $i!val!74)) | ((k!400(X1) = $i!val!64) & (k!400(X0) = $i!val!91)) | ((k!400(X1) = $i!val!71) & (k!400(X0) = $i!val!84)) | ((k!400(X1) = $i!val!66) & (k!400(X0) = $i!val!88)) | ((k!400(X1) = $i!val!63) & (k!400(X0) = $i!val!86)) | ((k!400(X1) = $i!val!62) & (k!400(X0) = $i!val!85)) | ((k!400(X1) = $i!val!89) & (k!400(X0) = $i!val!97)) | ((k!400(X1) = $i!val!97) & (k!400(X0) = $i!val!98)) | ((k!400(X1) = $i!val!101) & (k!400(X0) = $i!val!110)) | ((k!400(X1) = $i!val!105) & (k!400(X0) = $i!val!108)) | ((k!400(X1) = $i!val!93) & (k!400(X0) = $i!val!107)) | ((k!400(X1) = $i!val!1) & (k!400(X0) = $i!val!26)) | ((k!400(X1) = $i!val!50) & (k!400(X0) = $i!val!51)) | ((k!400(X1) = $i!val!20) & (k!400(X0) = $i!val!48)) | ((k!400(X1) = $i!val!53) & (k!400(X0) = $i!val!73)) | ((k!400(X1) = $i!val!95) & (k!400(X0) = $i!val!96))))). % 6.35/6.66 tff(formula125, axiom, % 6.35/6.66 ![X0: $i] : (p8(X0) <=> (k!400(X0) = $i!val!12))). % 6.35/6.66 tff(formula126, axiom, % 6.35/6.66 ![X0: $i] : (p13(X0) <=> $false)). % 6.35/6.66 tff(formula127, axiom, % 6.35/6.66 ![X0: $i] : (p11(X0) <=> ((k!400(X0) = $i!val!53) | (k!400(X0) = $i!val!54) | (k!400(X0) = $i!val!1) | (k!400(X0) = $i!val!71)))). % 6.35/6.66 tff(formula128, axiom, % 6.35/6.66 ![X0: $i] : (p9(X0) <=> $false)). % 6.35/6.66 tff(formula129, axiom, % 6.35/6.66 ![X0: $i] : (p10(X0) <=> $false)). % 6.35/6.66 tff(formula130, axiom, % 6.35/6.66 ![X0: $i] : (p14(X0) <=> ((k!400(X0) = $i!val!29) | (k!400(X0) = $i!val!23)))). % 6.35/6.66 % SZS output end Model % 6.35/6.67 % E exiting %------------------------------------------------------------------------------