%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN514-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n002.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 : 300s % DateTime : Sat Jun 21 05:39:25 AM UTC 2025 % Result : Satisfiable 28.69s 28.97s % Output : Model 28.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.10 % Problem : SYN514-1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.10 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n002.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Jun 20 12:38:47 EDT 2025 % 0.11/0.32 % CPUTime : % 28.69/28.97 % SZS status Satisfiable % 28.69/28.97 % SZS output start Model % 28.69/28.97 tff(tptp_fun__i_val_30_type, type, ( % 28.69/28.97 tptp_fun__i_val_30: $i)). % 28.69/28.97 tff(a247_type, type, ( % 28.69/28.97 a247: $i)). % 28.69/28.97 tff(ssSkC13_type, type, ( % 28.69/28.97 ssSkC13: $o)). % 28.69/28.97 tff(tptp_fun__i_val_7_type, type, ( % 28.69/28.97 tptp_fun__i_val_7: $i)). % 28.69/28.97 tff(a225_type, type, ( % 28.69/28.97 a225: $i)). % 28.69/28.97 tff(tptp_fun__i_val_13_type, type, ( % 28.69/28.97 tptp_fun__i_val_13: $i)). % 28.69/28.97 tff(a193_type, type, ( % 28.69/28.97 a193: $i)). % 28.69/28.97 tff(tptp_fun__i_val_28_type, type, ( % 28.69/28.97 tptp_fun__i_val_28: $i)). % 28.69/28.97 tff(a176_type, type, ( % 28.69/28.97 a176: $i)). % 28.69/28.97 tff(a204_type, type, ( % 28.69/28.97 a204: $i)). % 28.69/28.97 tff(tptp_fun__i_val_41_type, type, ( % 28.69/28.97 tptp_fun__i_val_41: $i)). % 28.69/28.97 tff(a242_type, type, ( % 28.69/28.97 a242: $i)). % 28.69/28.97 tff(tptp_fun__i_val_38_type, type, ( % 28.69/28.97 tptp_fun__i_val_38: $i)). % 28.69/28.97 tff(a206_type, type, ( % 28.69/28.97 a206: $i)). % 28.69/28.97 tff(tptp_fun__i_val_34_type, type, ( % 28.69/28.97 tptp_fun__i_val_34: $i)). % 28.69/28.97 tff(a195_type, type, ( % 28.69/28.97 a195: $i)). % 28.69/28.97 tff(tptp_fun__i_val_33_type, type, ( % 28.69/28.97 tptp_fun__i_val_33: $i)). % 28.69/28.97 tff(a217_type, type, ( % 28.69/28.97 a217: $i)). % 28.69/28.97 tff(tptp_fun__i_val_1_type, type, ( % 28.69/28.97 tptp_fun__i_val_1: $i)). % 28.69/28.97 tff(a188_type, type, ( % 28.69/28.97 a188: $i)). % 28.69/28.97 tff(tptp_fun__i_val_31_type, type, ( % 28.69/28.97 tptp_fun__i_val_31: $i)). % 28.69/28.97 tff(a216_type, type, ( % 28.69/28.97 a216: $i)). % 28.69/28.97 tff(tptp_fun__i_val_15_type, type, ( % 28.69/28.97 tptp_fun__i_val_15: $i)). % 28.69/28.97 tff(a249_type, type, ( % 28.69/28.97 a249: $i)). % 28.69/28.97 tff(c1_0_type, type, ( % 28.69/28.97 c1_0: $o)). % 28.69/28.97 tff(a232_type, type, ( % 28.69/28.97 a232: $i)). % 28.69/28.97 tff(tptp_fun__i_val_27_type, type, ( % 28.69/28.97 tptp_fun__i_val_27: $i)). % 28.69/28.97 tff(a211_type, type, ( % 28.69/28.97 a211: $i)). % 28.69/28.97 tff(tptp_fun__i_val_3_type, type, ( % 28.69/28.97 tptp_fun__i_val_3: $i)). % 28.69/28.97 tff(a262_type, type, ( % 28.69/28.97 a262: $i)). % 28.69/28.97 tff(a178_type, type, ( % 28.69/28.97 a178: $i)). % 28.69/28.97 tff(a210_type, type, ( % 28.69/28.97 a210: $i)). % 28.69/28.97 tff(tptp_fun__i_val_10_type, type, ( % 28.69/28.97 tptp_fun__i_val_10: $i)). % 28.69/28.97 tff(a239_type, type, ( % 28.69/28.97 a239: $i)). % 28.69/28.97 tff(tptp_fun__i_val_12_type, type, ( % 28.69/28.97 tptp_fun__i_val_12: $i)). % 28.69/28.97 tff(a201_type, type, ( % 28.69/28.97 a201: $i)). % 28.69/28.97 tff(a198_type, type, ( % 28.69/28.97 a198: $i)). % 28.69/28.97 tff(ssSkC2_type, type, ( % 28.69/28.97 ssSkC2: $o)). % 28.69/28.97 tff(tptp_fun__i_val_6_type, type, ( % 28.69/28.97 tptp_fun__i_val_6: $i)). % 28.69/28.97 tff(a253_type, type, ( % 28.69/28.97 a253: $i)). % 28.69/28.97 tff(tptp_fun__i_val_4_type, type, ( % 28.69/28.97 tptp_fun__i_val_4: $i)). % 28.69/28.97 tff(a260_type, type, ( % 28.69/28.97 a260: $i)). % 28.69/28.97 tff(tptp_fun__i_val_44_type, type, ( % 28.69/28.97 tptp_fun__i_val_44: $i)). % 28.69/28.97 tff(a223_type, type, ( % 28.69/28.97 a223: $i)). % 28.69/28.97 tff(ssSkC9_type, type, ( % 28.69/28.97 ssSkC9: $o)). % 28.69/28.97 tff(ssSkC12_type, type, ( % 28.69/28.97 ssSkC12: $o)). % 28.69/28.97 tff(a237_type, type, ( % 28.69/28.97 a237: $i)). % 28.69/28.97 tff(a191_type, type, ( % 28.69/28.97 a191: $i)). % 28.69/28.97 tff(a203_type, type, ( % 28.69/28.97 a203: $i)). % 28.69/28.97 tff(a238_type, type, ( % 28.69/28.97 a238: $i)). % 28.69/28.97 tff(a221_type, type, ( % 28.69/28.97 a221: $i)). % 28.69/28.97 tff(ndr1_0_type, type, ( % 28.69/28.97 ndr1_0: $o)). % 28.69/28.97 tff(c3_0_type, type, ( % 28.69/28.97 c3_0: $o)). % 28.69/28.97 tff(tptp_fun__i_val_14_type, type, ( % 28.69/28.97 tptp_fun__i_val_14: $i)). % 28.69/28.97 tff(a192_type, type, ( % 28.69/28.97 a192: $i)). % 28.69/28.97 tff(ssSkC7_type, type, ( % 28.69/28.97 ssSkC7: $o)). % 28.69/28.97 tff(a233_type, type, ( % 28.69/28.97 a233: $i)). % 28.69/28.97 tff(ssSkC8_type, type, ( % 28.69/28.97 ssSkC8: $o)). % 28.69/28.97 tff(ssSkC6_type, type, ( % 28.69/28.97 ssSkC6: $o)). % 28.69/28.97 tff(tptp_fun__i_val_11_type, type, ( % 28.69/28.97 tptp_fun__i_val_11: $i)). % 28.69/28.97 tff(a214_type, type, ( % 28.69/28.97 a214: $i)). % 28.69/28.97 tff(a222_type, type, ( % 28.69/28.97 a222: $i)). % 28.69/28.97 tff(tptp_fun__i_val_47_type, type, ( % 28.69/28.97 tptp_fun__i_val_47: $i)). % 28.69/28.97 tff(a197_type, type, ( % 28.69/28.97 a197: $i)). % 28.69/28.97 tff(tptp_fun__i_val_0_type, type, ( % 28.69/28.97 tptp_fun__i_val_0: $i)). % 28.69/28.97 tff(a205_type, type, ( % 28.69/28.97 a205: $i)). % 28.69/28.97 tff(tptp_fun__i_val_21_type, type, ( % 28.69/28.97 tptp_fun__i_val_21: $i)). % 28.69/28.97 tff(a259_type, type, ( % 28.69/28.97 a259: $i)). % 28.69/28.97 tff(c4_0_type, type, ( % 28.69/28.97 c4_0: $o)). % 28.69/28.97 tff(tptp_fun__i_val_42_type, type, ( % 28.69/28.97 tptp_fun__i_val_42: $i)). % 28.69/28.97 tff(a244_type, type, ( % 28.69/28.97 a244: $i)). % 28.69/28.97 tff(c5_0_type, type, ( % 28.69/28.97 c5_0: $o)). % 28.69/28.97 tff(tptp_fun__i_val_25_type, type, ( % 28.69/28.97 tptp_fun__i_val_25: $i)). % 28.69/28.97 tff(a187_type, type, ( % 28.69/28.97 a187: $i)). % 28.69/28.97 tff(tptp_fun__i_val_37_type, type, ( % 28.69/28.97 tptp_fun__i_val_37: $i)). % 28.69/28.97 tff(a243_type, type, ( % 28.69/28.97 a243: $i)). % 28.69/28.97 tff(tptp_fun__i_val_9_type, type, ( % 28.69/28.97 tptp_fun__i_val_9: $i)). % 28.69/28.97 tff(a185_type, type, ( % 28.69/28.97 a185: $i)). % 28.69/28.97 tff(a252_type, type, ( % 28.69/28.97 a252: $i)). % 28.69/28.97 tff(tptp_fun__i_val_20_type, type, ( % 28.69/28.97 tptp_fun__i_val_20: $i)). % 28.69/28.97 tff(a264_type, type, ( % 28.69/28.97 a264: $i)). % 28.69/28.97 tff(a215_type, type, ( % 28.69/28.97 a215: $i)). % 28.69/28.97 tff(ssSkC4_type, type, ( % 28.69/28.97 ssSkC4: $o)). % 28.69/28.97 tff(a184_type, type, ( % 28.69/28.97 a184: $i)). % 28.69/28.97 tff(ssSkC15_type, type, ( % 28.69/28.97 ssSkC15: $o)). % 28.69/28.97 tff(a240_type, type, ( % 28.69/28.97 a240: $i)). % 28.69/28.97 tff(ssSkC1_type, type, ( % 28.69/28.97 ssSkC1: $o)). % 28.69/28.97 tff(tptp_fun__i_val_48_type, type, ( % 28.69/28.97 tptp_fun__i_val_48: $i)). % 28.69/28.97 tff(a231_type, type, ( % 28.69/28.97 a231: $i)). % 28.69/28.97 tff(tptp_fun__i_val_35_type, type, ( % 28.69/28.97 tptp_fun__i_val_35: $i)). % 28.69/28.97 tff(a246_type, type, ( % 28.69/28.97 a246: $i)). % 28.69/28.97 tff(tptp_fun__i_val_19_type, type, ( % 28.69/28.97 tptp_fun__i_val_19: $i)). % 28.69/28.97 tff(a254_type, type, ( % 28.69/28.97 a254: $i)). % 28.69/28.97 tff(tptp_fun__i_val_45_type, type, ( % 28.69/28.97 tptp_fun__i_val_45: $i)). % 28.69/28.97 tff(a218_type, type, ( % 28.69/28.97 a218: $i)). % 28.69/28.97 tff(tptp_fun__i_val_22_type, type, ( % 28.69/28.97 tptp_fun__i_val_22: $i)). % 28.69/28.97 tff(a255_type, type, ( % 28.69/28.97 a255: $i)). % 28.69/28.97 tff(a194_type, type, ( % 28.69/28.97 a194: $i)). % 28.69/28.97 tff(ssSkC14_type, type, ( % 28.69/28.97 ssSkC14: $o)). % 28.69/28.97 tff(tptp_fun__i_val_8_type, type, ( % 28.69/28.97 tptp_fun__i_val_8: $i)). % 28.69/28.97 tff(a200_type, type, ( % 28.69/28.97 a200: $i)). % 28.69/28.97 tff(tptp_fun__i_val_16_type, type, ( % 28.69/28.97 tptp_fun__i_val_16: $i)). % 28.69/28.97 tff(a189_type, type, ( % 28.69/28.97 a189: $i)). % 28.69/28.97 tff(tptp_fun__i_val_5_type, type, ( % 28.69/28.97 tptp_fun__i_val_5: $i)). % 28.69/28.97 tff(a257_type, type, ( % 28.69/28.97 a257: $i)). % 28.69/28.97 tff(tptp_fun__i_val_39_type, type, ( % 28.69/28.97 tptp_fun__i_val_39: $i)). % 28.69/28.97 tff(a234_type, type, ( % 28.69/28.97 a234: $i)). % 28.69/28.97 tff(tptp_fun__i_val_32_type, type, ( % 28.69/28.97 tptp_fun__i_val_32: $i)). % 28.69/28.97 tff(a213_type, type, ( % 28.69/28.97 a213: $i)). % 28.69/28.97 tff(a177_type, type, ( % 28.69/28.97 a177: $i)). % 28.69/28.97 tff(ssSkC3_type, type, ( % 28.69/28.97 ssSkC3: $o)). % 28.69/28.97 tff(tptp_fun__i_val_46_type, type, ( % 28.69/28.97 tptp_fun__i_val_46: $i)). % 28.69/28.97 tff(a224_type, type, ( % 28.69/28.97 a224: $i)). % 28.69/28.97 tff(tptp_fun__i_val_24_type, type, ( % 28.69/28.97 tptp_fun__i_val_24: $i)). % 28.69/28.97 tff(a199_type, type, ( % 28.69/28.97 a199: $i)). % 28.69/28.97 tff(c2_0_type, type, ( % 28.69/28.97 c2_0: $o)). % 28.69/28.97 tff(tptp_fun__i_val_29_type, type, ( % 28.69/28.97 tptp_fun__i_val_29: $i)). % 28.69/28.97 tff(a245_type, type, ( % 28.69/28.97 a245: $i)). % 28.69/28.97 tff(ssSkC11_type, type, ( % 28.69/28.97 ssSkC11: $o)). % 28.69/28.97 tff(a263_type, type, ( % 28.69/28.97 a263: $i)). % 28.69/28.97 tff(tptp_fun__i_val_23_type, type, ( % 28.69/28.97 tptp_fun__i_val_23: $i)). % 28.69/28.97 tff(a209_type, type, ( % 28.69/28.97 a209: $i)). % 28.69/28.97 tff(a235_type, type, ( % 28.69/28.97 a235: $i)). % 28.69/28.97 tff(ssSkC5_type, type, ( % 28.69/28.97 ssSkC5: $o)). % 28.69/28.97 tff(ssSkC0_type, type, ( % 28.69/28.97 ssSkC0: $o)). % 28.69/28.97 tff(a182_type, type, ( % 28.69/28.97 a182: $i)). % 28.69/28.97 tff(ssSkC16_type, type, ( % 28.69/28.97 ssSkC16: $o)). % 28.69/28.97 tff(ssSkC10_type, type, ( % 28.69/28.97 ssSkC10: $o)). % 28.81/28.97 tff(tptp_fun__i_val_18_type, type, ( % 28.81/28.97 tptp_fun__i_val_18: $i)). % 28.81/28.97 tff(a258_type, type, ( % 28.81/28.97 a258: $i)). % 28.81/28.97 tff(tptp_fun__i_val_43_type, type, ( % 28.81/28.97 tptp_fun__i_val_43: $i)). % 28.81/28.97 tff(a250_type, type, ( % 28.81/28.97 a250: $i)). % 28.81/28.97 tff(a190_type, type, ( % 28.81/28.97 a190: $i)). % 28.81/28.97 tff(tptp_fun__i_val_36_type, type, ( % 28.81/28.97 tptp_fun__i_val_36: $i)). % 28.81/28.97 tff(a241_type, type, ( % 28.81/28.97 a241: $i)). % 28.81/28.97 tff(tptp_fun__i_val_2_type, type, ( % 28.81/28.97 tptp_fun__i_val_2: $i)). % 28.81/28.97 tff(a179_type, type, ( % 28.81/28.97 a179: $i)). % 28.81/28.97 tff(a251_type, type, ( % 28.81/28.97 a251: $i)). % 28.81/28.97 tff(a196_type, type, ( % 28.81/28.97 a196: $i)). % 28.81/28.97 tff(tptp_fun__i_val_17_type, type, ( % 28.81/28.97 tptp_fun__i_val_17: $i)). % 28.81/28.97 tff(a186_type, type, ( % 28.81/28.97 a186: $i)). % 28.81/28.97 tff(a226_type, type, ( % 28.81/28.97 a226: $i)). % 28.81/28.97 tff(tptp_fun__i_val_26_type, type, ( % 28.81/28.97 tptp_fun__i_val_26: $i)). % 28.81/28.97 tff(a227_type, type, ( % 28.81/28.97 a227: $i)). % 28.81/28.97 tff(a202_type, type, ( % 28.81/28.97 a202: $i)). % 28.81/28.97 tff(a256_type, type, ( % 28.81/28.97 a256: $i)). % 28.81/28.97 tff(tptp_fun__i_val_40_type, type, ( % 28.81/28.97 tptp_fun__i_val_40: $i)). % 28.81/28.97 tff(a181_type, type, ( % 28.81/28.97 a181: $i)). % 28.81/28.97 tff(a175_type, type, ( % 28.81/28.97 a175: $i)). % 28.81/28.97 tff(ssSkP5_type, type, ( % 28.81/28.97 ssSkP5: $i > $o)). % 28.81/28.97 tff(k!1908_type, type, ( % 28.81/28.97 k!1908: $i > $i)). % 28.81/28.97 tff(ndr1_1_type, type, ( % 28.81/28.97 ndr1_1: $i > $o)). % 28.81/28.97 tff(c5_1_type, type, ( % 28.81/28.97 c5_1: $i > $o)). % 28.81/28.97 tff(ssSkP0_type, type, ( % 28.81/28.97 ssSkP0: $i > $o)). % 28.81/28.97 tff(c3_1_type, type, ( % 28.81/28.97 c3_1: $i > $o)). % 28.81/28.97 tff(c2_1_type, type, ( % 28.81/28.97 c2_1: $i > $o)). % 28.81/28.97 tff(c4_1_type, type, ( % 28.81/28.97 c4_1: $i > $o)). % 28.81/28.97 tff(k!1909_type, type, ( % 28.81/28.97 k!1909: $i > $i)). % 28.81/28.97 tff(c1_2_type, type, ( % 28.81/28.97 c1_2: ( $i * $i ) > $o)). % 28.81/28.97 tff(ssSkP1_type, type, ( % 28.81/28.97 ssSkP1: $i > $o)). % 28.81/28.97 tff(c1_1_type, type, ( % 28.81/28.97 c1_1: $i > $o)). % 28.81/28.97 tff(c3_2_type, type, ( % 28.81/28.97 c3_2: ( $i * $i ) > $o)). % 28.81/28.97 tff(ssSkP4_type, type, ( % 28.81/28.97 ssSkP4: $i > $o)). % 28.81/28.97 tff(c4_2_type, type, ( % 28.81/28.97 c4_2: ( $i * $i ) > $o)). % 28.81/28.97 tff(ssSkP2_type, type, ( % 28.81/28.97 ssSkP2: $i > $o)). % 28.81/28.97 tff(c5_2_type, type, ( % 28.81/28.97 c5_2: ( $i * $i ) > $o)). % 28.81/28.97 tff(c2_2_type, type, ( % 28.81/28.97 c2_2: ( $i * $i ) > $o)). % 28.81/28.97 tff(ssSkP3_type, type, ( % 28.81/28.97 ssSkP3: $i > $o)). % 28.81/28.97 tff(formula1, axiom, % 28.81/28.97 a247 = $i!val!30). % 28.81/28.97 tff(formula2, axiom, % 28.81/28.97 ssSkC13 <=> $true). % 28.81/28.97 tff(formula3, axiom, % 28.81/28.97 a225 = $i!val!7). % 28.81/28.97 tff(formula4, axiom, % 28.81/28.97 a193 = $i!val!13). % 28.81/28.97 tff(formula5, axiom, % 28.81/28.97 a176 = $i!val!28). % 28.81/28.97 tff(formula6, axiom, % 28.81/28.97 a204 = $i!val!13). % 28.81/28.97 tff(formula7, axiom, % 28.81/28.97 a242 = $i!val!41). % 28.81/28.97 tff(formula8, axiom, % 28.81/28.97 a206 = $i!val!38). % 28.81/28.97 tff(formula9, axiom, % 28.81/28.97 a195 = $i!val!34). % 28.81/28.97 tff(formula10, axiom, % 28.81/28.97 a217 = $i!val!33). % 28.81/28.97 tff(formula11, axiom, % 28.81/28.97 a188 = $i!val!1). % 28.81/28.97 tff(formula12, axiom, % 28.81/28.97 a216 = $i!val!31). % 28.81/28.97 tff(formula13, axiom, % 28.81/28.97 a249 = $i!val!15). % 28.81/28.97 tff(formula14, axiom, % 28.81/28.97 c1_0 <=> $true). % 28.81/28.97 tff(formula15, axiom, % 28.81/28.97 a232 = $i!val!30). % 28.81/28.97 tff(formula16, axiom, % 28.81/28.97 a211 = $i!val!27). % 28.81/28.97 tff(formula17, axiom, % 28.81/28.97 a262 = $i!val!3). % 28.81/28.97 tff(formula18, axiom, % 28.81/28.97 a178 = $i!val!28). % 28.81/28.97 tff(formula19, axiom, % 28.81/28.97 a210 = $i!val!28). % 28.81/28.97 tff(formula20, axiom, % 28.81/28.97 a239 = $i!val!10). % 28.81/28.97 tff(formula21, axiom, % 28.81/28.97 a201 = $i!val!12). % 28.81/28.97 tff(formula22, axiom, % 28.81/28.97 a198 = $i!val!13). % 28.81/28.97 tff(formula23, axiom, % 28.81/28.97 ssSkC2 <=> $false). % 28.81/28.97 tff(formula24, axiom, % 28.81/28.97 a253 = $i!val!6). % 28.81/28.97 tff(formula25, axiom, % 28.81/28.97 a260 = $i!val!4). % 28.81/28.97 tff(formula26, axiom, % 28.81/28.97 a223 = $i!val!44). % 28.81/28.97 tff(formula27, axiom, % 28.81/28.98 ssSkC9 <=> $false). % 28.81/28.98 tff(formula28, axiom, % 28.81/28.98 ssSkC12 <=> $true). % 28.81/28.98 tff(formula29, axiom, % 28.81/28.98 a237 = $i!val!13). % 28.81/28.98 tff(formula30, axiom, % 28.81/28.98 a191 = $i!val!15). % 28.81/28.98 tff(formula31, axiom, % 28.81/28.98 a203 = $i!val!10). % 28.81/28.98 tff(formula32, axiom, % 28.81/28.98 a238 = $i!val!15). % 28.81/28.98 tff(formula33, axiom, % 28.81/28.98 a221 = $i!val!27). % 28.81/28.98 tff(formula34, axiom, % 28.81/28.98 ndr1_0 <=> $true). % 28.81/28.98 tff(formula35, axiom, % 28.81/28.98 c3_0 <=> $false). % 28.81/28.98 tff(formula36, axiom, % 28.81/28.98 a192 = $i!val!14). % 28.81/28.98 tff(formula37, axiom, % 28.81/28.98 ssSkC7 <=> $false). % 28.81/28.98 tff(formula38, axiom, % 28.81/28.98 a233 = $i!val!27). % 28.81/28.98 tff(formula39, axiom, % 28.81/28.98 ssSkC8 <=> $false). % 28.81/28.98 tff(formula40, axiom, % 28.81/28.98 ssSkC6 <=> $false). % 28.81/28.98 tff(formula41, axiom, % 28.81/28.98 a214 = $i!val!11). % 28.81/28.98 tff(formula42, axiom, % 28.81/28.98 a222 = $i!val!30). % 28.81/28.98 tff(formula43, axiom, % 28.81/28.98 a197 = $i!val!47). % 28.81/28.98 tff(formula44, axiom, % 28.81/28.98 a205 = $i!val!0). % 28.81/28.98 tff(formula45, axiom, % 28.81/28.98 a259 = $i!val!21). % 28.81/28.98 tff(formula46, axiom, % 28.81/28.98 c4_0 <=> $false). % 28.81/28.98 tff(formula47, axiom, % 28.81/28.98 a244 = $i!val!42). % 28.81/28.98 tff(formula48, axiom, % 28.81/28.98 c5_0 <=> $false). % 28.81/28.98 tff(formula49, axiom, % 28.81/28.98 a187 = $i!val!25). % 28.81/28.98 tff(formula50, axiom, % 28.81/28.98 a243 = $i!val!37). % 28.81/28.98 tff(formula51, axiom, % 28.81/28.98 a185 = $i!val!9). % 28.81/28.98 tff(formula52, axiom, % 28.81/28.98 a252 = $i!val!28). % 28.81/28.98 tff(formula53, axiom, % 28.81/28.98 a264 = $i!val!20). % 28.81/28.98 tff(formula54, axiom, % 28.81/28.98 a215 = $i!val!27). % 28.81/28.98 tff(formula55, axiom, % 28.81/28.98 ssSkC4 <=> $false). % 28.81/28.98 tff(formula56, axiom, % 28.81/28.98 a184 = $i!val!10). % 28.81/28.98 tff(formula57, axiom, % 28.81/28.98 ssSkC15 <=> $true). % 28.81/28.98 tff(formula58, axiom, % 28.81/28.98 a240 = $i!val!0). % 28.81/28.98 tff(formula59, axiom, % 28.81/28.98 ssSkC1 <=> $false). % 28.81/28.98 tff(formula60, axiom, % 28.81/28.98 a231 = $i!val!48). % 28.81/28.98 tff(formula61, axiom, % 28.81/28.98 a246 = $i!val!35). % 28.81/28.98 tff(formula62, axiom, % 28.81/28.98 a254 = $i!val!19). % 28.81/28.98 tff(formula63, axiom, % 28.81/28.98 a218 = $i!val!45). % 28.81/28.98 tff(formula64, axiom, % 28.81/28.98 a255 = $i!val!22). % 28.81/28.98 tff(formula65, axiom, % 28.81/28.98 a194 = $i!val!13). % 28.81/28.98 tff(formula66, axiom, % 28.81/28.98 ssSkC14 <=> $false). % 28.81/28.98 tff(formula67, axiom, % 28.81/28.98 a200 = $i!val!8). % 28.81/28.98 tff(formula68, axiom, % 28.81/28.98 a189 = $i!val!16). % 28.81/28.98 tff(formula69, axiom, % 28.81/28.98 a257 = $i!val!5). % 28.81/28.98 tff(formula70, axiom, % 28.81/28.98 a234 = $i!val!39). % 28.81/28.98 tff(formula71, axiom, % 28.81/28.98 a213 = $i!val!32). % 28.81/28.98 tff(formula72, axiom, % 28.81/28.98 a177 = $i!val!10). % 28.81/28.98 tff(formula73, axiom, % 28.81/28.98 ssSkC3 <=> $true). % 28.81/28.98 tff(formula74, axiom, % 28.81/28.98 a224 = $i!val!46). % 28.81/28.98 tff(formula75, axiom, % 28.81/28.98 a199 = $i!val!24). % 28.81/28.98 tff(formula76, axiom, % 28.81/28.98 c2_0 <=> $false). % 28.81/28.98 tff(formula77, axiom, % 28.81/28.98 a245 = $i!val!29). % 28.81/28.98 tff(formula78, axiom, % 28.81/28.98 ssSkC11 <=> $true). % 28.81/28.98 tff(formula79, axiom, % 28.81/28.98 a263 = $i!val!10). % 28.81/28.98 tff(formula80, axiom, % 28.81/28.98 a209 = $i!val!23). % 28.81/28.98 tff(formula81, axiom, % 28.81/28.98 a235 = $i!val!27). % 28.81/28.98 tff(formula82, axiom, % 28.81/28.98 ssSkC5 <=> $true). % 28.81/28.98 tff(formula83, axiom, % 28.81/28.98 ssSkC0 <=> $true). % 28.81/28.98 tff(formula84, axiom, % 28.81/28.98 a182 = $i!val!15). % 28.81/28.98 tff(formula85, axiom, % 28.81/28.98 ssSkC16 <=> $false). % 28.81/28.98 tff(formula86, axiom, % 28.81/28.98 ssSkC10 <=> $true). % 28.81/28.98 tff(formula87, axiom, % 28.81/28.98 a258 = $i!val!18). % 28.81/28.98 tff(formula88, axiom, % 28.81/28.98 a250 = $i!val!43). % 28.81/28.98 tff(formula89, axiom, % 28.81/28.98 a190 = $i!val!28). % 28.81/28.98 tff(formula90, axiom, % 28.81/28.98 a241 = $i!val!36). % 28.81/28.98 tff(formula91, axiom, % 28.81/28.98 a179 = $i!val!2). % 28.81/28.98 tff(formula92, axiom, % 28.81/28.98 a251 = $i!val!30). % 28.81/28.98 tff(formula93, axiom, % 28.81/28.98 a196 = $i!val!15). % 28.81/28.98 tff(formula94, axiom, % 28.81/28.98 a186 = $i!val!17). % 28.81/28.98 tff(formula95, axiom, % 28.81/28.98 a226 = $i!val!30). % 28.81/28.98 tff(formula96, axiom, % 28.81/28.98 a227 = $i!val!26). % 28.81/28.98 tff(formula97, axiom, % 28.81/28.98 a202 = $i!val!0). % 28.81/28.98 tff(formula98, axiom, % 28.81/28.98 a256 = $i!val!28). % 28.81/28.98 tff(formula99, axiom, % 28.81/28.98 a181 = $i!val!40). % 28.81/28.98 tff(formula100, axiom, % 28.81/28.98 a175 = $i!val!30). % 28.81/28.98 tff(formula101, axiom, % 28.81/28.98 ![X0: $i] : (ssSkP5(X0) <=> $true)). % 28.81/28.98 tff(formula102, axiom, % 28.81/28.98 ![X0: $i] : (ndr1_1(X0) <=> ((k!1908(X0) = $i!val!9) | (k!1908(X0) = $i!val!5) | (k!1908(X0) = $i!val!17) | (k!1908(X0) = $i!val!11) | (k!1908(X0) = $i!val!22) | (k!1908(X0) = $i!val!23) | (k!1908(X0) = $i!val!8) | (k!1908(X0) = $i!val!16) | (k!1908(X0) = $i!val!21)))). % 28.81/28.98 tff(formula103, axiom, % 28.81/28.98 ![X0: $i] : (c5_1(X0) <=> ((k!1908(X0) = $i!val!1) | (k!1908(X0) = $i!val!13) | (k!1908(X0) = $i!val!3)))). % 28.81/28.98 tff(formula104, axiom, % 28.81/28.98 k!1908($i!val!24) = $i!val!24). % 28.81/28.98 tff(formula105, axiom, % 28.81/28.98 k!1908($i!val!13) = $i!val!13). % 28.81/28.98 tff(formula106, axiom, % 28.81/28.98 k!1908($i!val!10) = $i!val!10). % 28.81/28.98 tff(formula107, axiom, % 28.81/28.98 k!1908($i!val!23) = $i!val!23). % 28.81/28.98 tff(formula108, axiom, % 28.81/28.98 k!1908($i!val!7) = $i!val!7). % 28.81/28.98 tff(formula109, axiom, % 28.81/28.98 k!1908($i!val!15) = $i!val!15). % 28.81/28.98 tff(formula110, axiom, % 28.81/28.98 k!1908($i!val!48) = $i!val!48). % 28.81/28.98 tff(formula111, axiom, % 28.81/28.98 k!1908($i!val!14) = $i!val!14). % 28.81/28.98 tff(formula112, axiom, % 28.81/28.98 k!1908($i!val!1) = $i!val!1). % 28.81/28.98 tff(formula113, axiom, % 28.81/28.98 k!1908($i!val!11) = $i!val!11). % 28.81/28.98 tff(formula114, axiom, % 28.81/28.98 k!1908($i!val!36) = $i!val!36). % 28.81/28.98 tff(formula115, axiom, % 28.81/28.98 k!1908($i!val!2) = $i!val!2). % 28.81/28.98 tff(formula116, axiom, % 28.81/28.98 k!1908($i!val!17) = $i!val!17). % 28.81/28.98 tff(formula117, axiom, % 28.81/28.98 k!1908($i!val!26) = $i!val!26). % 28.81/28.98 tff(formula118, axiom, % 28.81/28.98 k!1908($i!val!3) = $i!val!3). % 28.81/28.98 tff(formula119, axiom, % 28.81/28.98 k!1908($i!val!22) = $i!val!22). % 28.81/28.98 tff(formula120, axiom, % 28.81/28.98 k!1908($i!val!0) = $i!val!0). % 28.81/28.98 tff(formula121, axiom, % 28.81/28.98 k!1908($i!val!21) = $i!val!21). % 28.81/28.98 tff(formula122, axiom, % 28.81/28.98 k!1908($i!val!8) = $i!val!8). % 28.81/28.98 tff(formula123, axiom, % 28.81/28.98 k!1908($i!val!37) = $i!val!37). % 28.81/28.98 tff(formula124, axiom, % 28.81/28.98 k!1908($i!val!9) = $i!val!9). % 28.81/28.98 tff(formula125, axiom, % 28.81/28.98 k!1908($i!val!12) = $i!val!12). % 28.81/28.98 tff(formula126, axiom, % 28.81/28.98 k!1908($i!val!16) = $i!val!16). % 28.81/28.98 tff(formula127, axiom, % 28.81/28.98 k!1908($i!val!6) = $i!val!6). % 28.81/28.98 tff(formula128, axiom, % 28.81/28.98 k!1908($i!val!4) = $i!val!4). % 28.81/28.98 tff(formula129, axiom, % 28.81/28.98 ![X0: $i] : ((~((($i!val!24 = X0)) | (($i!val!13 = X0)) | (($i!val!10 = X0)) | (($i!val!23 = X0)) | (($i!val!7 = X0)) | (($i!val!15 = X0)) | (($i!val!48 = X0)) | (($i!val!14 = X0)) | (($i!val!1 = X0)) | (($i!val!11 = X0)) | (($i!val!36 = X0)) | (($i!val!2 = X0)) | (($i!val!17 = X0)) | (($i!val!26 = X0)) | (($i!val!3 = X0)) | (($i!val!22 = X0)) | (($i!val!0 = X0)) | (($i!val!21 = X0)) | (($i!val!8 = X0)) | (($i!val!37 = X0)) | (($i!val!9 = X0)) | (($i!val!12 = X0)) | (($i!val!16 = X0)) | (($i!val!6 = X0)) | (($i!val!4 = X0)))) => (k!1908(X0) = $i!val!5))). % 28.81/28.98 tff(formula130, axiom, % 28.81/28.98 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 28.81/28.98 tff(formula131, axiom, % 28.81/28.98 ![X0: $i] : (c3_1(X0) <=> ((~(k!1908(X0) = $i!val!8)) & (~(k!1908(X0) = $i!val!11)) & (~(k!1908(X0) = $i!val!22)) & (~(k!1908(X0) = $i!val!16))))). % 28.81/28.98 tff(formula132, axiom, % 28.81/28.98 ![X0: $i] : (c2_1(X0) <=> ((k!1908(X0) = $i!val!12) | (k!1908(X0) = $i!val!14) | (k!1908(X0) = $i!val!24) | (k!1908(X0) = $i!val!15) | (k!1908(X0) = $i!val!10) | (k!1908(X0) = $i!val!48) | (k!1908(X0) = $i!val!1) | (k!1908(X0) = $i!val!6) | (k!1908(X0) = $i!val!7) | (k!1908(X0) = $i!val!5) | (k!1908(X0) = $i!val!17)))). % 28.81/28.98 tff(formula133, axiom, % 28.81/28.98 ![X0: $i] : (c4_1(X0) <=> ((k!1908(X0) = $i!val!7) | (k!1908(X0) = $i!val!5) | (k!1908(X0) = $i!val!17) | (k!1908(X0) = $i!val!8)))). % 28.81/28.98 tff(formula134, axiom, % 28.81/28.98 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!1908(X1) = $i!val!17) & (k!1909(X0) = $i!val!25)) | ((k!1908(X1) = $i!val!23) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!8) & (k!1909(X0) = $i!val!30)) | ((k!1908(X1) = $i!val!8) & (k!1909(X0) = $i!val!29)) | ((k!1908(X1) = $i!val!16) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!9) & (k!1909(X0) = $i!val!30)) | ((k!1908(X1) = $i!val!21) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!11) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!5) & (k!1909(X0) = $i!val!30)) | ((k!1908(X1) = $i!val!21) & (k!1909(X0) = $i!val!30)) | ((k!1908(X1) = $i!val!9) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!8) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!22) & (k!1909(X0) = $i!val!34))))). % 28.81/28.98 tff(formula135, axiom, % 28.81/28.98 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 28.81/28.98 tff(formula136, axiom, % 28.81/28.98 k!1909($i!val!30) = $i!val!30). % 28.81/28.98 tff(formula137, axiom, % 28.81/28.98 k!1909($i!val!39) = $i!val!39). % 28.81/28.98 tff(formula138, axiom, % 28.81/28.98 k!1909($i!val!32) = $i!val!32). % 28.81/28.98 tff(formula139, axiom, % 28.81/28.98 k!1909($i!val!27) = $i!val!27). % 28.81/28.98 tff(formula140, axiom, % 28.81/28.98 k!1909($i!val!46) = $i!val!46). % 28.81/28.98 tff(formula141, axiom, % 28.81/28.98 k!1909($i!val!44) = $i!val!44). % 28.81/28.98 tff(formula142, axiom, % 28.81/28.98 k!1909($i!val!40) = $i!val!40). % 28.81/28.98 tff(formula143, axiom, % 28.81/28.98 k!1909($i!val!19) = $i!val!19). % 28.81/28.98 tff(formula144, axiom, % 28.81/28.98 k!1909($i!val!45) = $i!val!45). % 28.81/28.98 tff(formula145, axiom, % 28.81/28.98 k!1909($i!val!29) = $i!val!29). % 28.81/28.98 tff(formula146, axiom, % 28.81/28.98 k!1909($i!val!20) = $i!val!20). % 28.81/28.98 tff(formula147, axiom, % 28.81/28.98 k!1909($i!val!42) = $i!val!42). % 28.81/28.98 tff(formula148, axiom, % 28.81/28.98 k!1909($i!val!28) = $i!val!28). % 28.81/28.98 tff(formula149, axiom, % 28.81/28.98 k!1909($i!val!25) = $i!val!25). % 28.81/28.98 tff(formula150, axiom, % 28.81/28.98 k!1909($i!val!41) = $i!val!41). % 28.81/28.98 tff(formula151, axiom, % 28.81/28.98 k!1909($i!val!38) = $i!val!38). % 28.81/28.98 tff(formula152, axiom, % 28.81/28.98 k!1909($i!val!34) = $i!val!34). % 28.81/28.98 tff(formula153, axiom, % 28.81/28.98 k!1909($i!val!31) = $i!val!31). % 28.81/28.98 tff(formula154, axiom, % 28.81/28.98 k!1909($i!val!33) = $i!val!33). % 28.81/28.98 tff(formula155, axiom, % 28.81/28.98 k!1909($i!val!18) = $i!val!18). % 28.81/28.98 tff(formula156, axiom, % 28.81/28.98 k!1909($i!val!43) = $i!val!43). % 28.81/28.98 tff(formula157, axiom, % 28.81/28.98 k!1909($i!val!35) = $i!val!35). % 28.81/28.98 tff(formula158, axiom, % 28.81/28.98 ![X0: $i] : ((~((($i!val!30 = X0)) | (($i!val!39 = X0)) | (($i!val!32 = X0)) | (($i!val!27 = X0)) | (($i!val!46 = X0)) | (($i!val!44 = X0)) | (($i!val!40 = X0)) | (($i!val!19 = X0)) | (($i!val!45 = X0)) | (($i!val!29 = X0)) | (($i!val!20 = X0)) | (($i!val!42 = X0)) | (($i!val!28 = X0)) | (($i!val!25 = X0)) | (($i!val!41 = X0)) | (($i!val!38 = X0)) | (($i!val!34 = X0)) | (($i!val!31 = X0)) | (($i!val!33 = X0)) | (($i!val!18 = X0)) | (($i!val!43 = X0)) | (($i!val!35 = X0)))) => (k!1909(X0) = $i!val!47))). % 28.81/28.98 tff(formula159, axiom, % 28.81/28.98 ![X0: $i] : (c1_1(X0) <=> ((~(k!1908(X0) = $i!val!22)) & (~(k!1908(X0) = $i!val!23)) & (~(k!1908(X0) = $i!val!11)) & (~(k!1908(X0) = $i!val!17)) & (~(k!1908(X0) = $i!val!15)) & (~(k!1908(X0) = $i!val!24)) & (~(k!1908(X0) = $i!val!12)) & (~(k!1908(X0) = $i!val!21)) & (~(k!1908(X0) = $i!val!5))))). % 28.81/28.98 tff(formula160, axiom, % 28.81/28.98 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!1908(X1) = $i!val!16) & (k!1909(X0) = $i!val!33)) | ((k!1908(X1) = $i!val!9) & (k!1909(X0) = $i!val!38)) | ((k!1908(X1) = $i!val!21) & (k!1909(X0) = $i!val!38)) | ((k!1908(X1) = $i!val!23) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!16) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!21) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!11) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!9) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!22) & (k!1909(X0) = $i!val!34))))). % 28.81/28.98 tff(formula161, axiom, % 28.81/28.98 ![X0: $i] : (ssSkP4(X0) <=> (~(k!1908(X0) = $i!val!8)))). % 28.81/28.98 tff(formula162, axiom, % 28.81/28.98 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!1908(X1) = $i!val!23) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!8) & (k!1909(X0) = $i!val!29)) | ((k!1908(X1) = $i!val!16) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!11) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!9) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!22) & (k!1909(X0) = $i!val!34))))). % 28.81/28.98 tff(formula163, axiom, % 28.81/28.98 ![X0: $i] : (ssSkP2(X0) <=> ((~(k!1908(X0) = $i!val!22)) & (~(k!1908(X0) = $i!val!11)) & (~(k!1908(X0) = $i!val!8))))). % 28.81/28.98 tff(formula164, axiom, % 28.81/28.98 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!1908(X1) = $i!val!9) & (k!1909(X0) = $i!val!38)) | ((k!1908(X1) = $i!val!5) & (k!1909(X0) = $i!val!18)) | ((k!1908(X1) = $i!val!21) & (k!1909(X0) = $i!val!38)) | ((k!1908(X1) = $i!val!23) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!8) & (k!1909(X0) = $i!val!29)) | ((k!1908(X1) = $i!val!21) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!11) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!22) & (k!1909(X0) = $i!val!34))))). % 28.81/28.99 tff(formula165, axiom, % 28.81/28.99 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!1908(X1) = $i!val!8) & (k!1909(X0) = $i!val!31)) | ((k!1908(X1) = $i!val!23) & (k!1909(X0) = $i!val!28)) | ((k!1908(X1) = $i!val!22) & (k!1909(X0) = $i!val!31)) | ((k!1908(X1) = $i!val!11) & (k!1909(X0) = $i!val!31)) | ((k!1908(X1) = $i!val!23) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!16) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!11) & (k!1909(X0) = $i!val!34)) | ((k!1908(X1) = $i!val!9) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!21) & (k!1909(X0) = $i!val!31)) | ((k!1908(X1) = $i!val!8) & (k!1909(X0) = $i!val!45)) | ((k!1908(X1) = $i!val!22) & (k!1909(X0) = $i!val!34))))). % 28.81/28.99 tff(formula166, axiom, % 28.81/28.99 ![X0: $i] : (ssSkP3(X0) <=> ((~(k!1908(X0) = $i!val!21)) & (~(k!1908(X0) = $i!val!5)) & (~(k!1908(X0) = $i!val!9)) & (~(k!1908(X0) = $i!val!8))))). % 28.81/28.99 % SZS output end Model % 28.81/29.00 % E exiting %------------------------------------------------------------------------------