%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN545+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n006.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 05:39:32 AM UTC 2025 % Result : CounterSatisfiable 0.80s 0.96s % Output : Model 0.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN545+1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n006.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Jun 20 12:37:35 EDT 2025 % 0.11/0.33 % CPUTime : % 0.80/0.96 % SZS status CounterSatisfiable % 0.80/0.96 % SZS output start Model % 0.80/0.96 tff(tptp_fun__i_val_45_type, type, ( % 0.80/0.96 tptp_fun__i_val_45: $i)). % 0.80/0.96 tff(a264_type, type, ( % 0.80/0.96 a264: $i)). % 0.80/0.96 tff(tptp_fun__i_val_5_type, type, ( % 0.80/0.96 tptp_fun__i_val_5: $i)). % 0.80/0.96 tff(a160_type, type, ( % 0.80/0.96 a160: $i)). % 0.80/0.96 tff(tptp_fun__i_val_38_type, type, ( % 0.80/0.96 tptp_fun__i_val_38: $i)). % 0.80/0.96 tff(a282_type, type, ( % 0.80/0.96 a282: $i)). % 0.80/0.96 tff(c7_0_type, type, ( % 0.80/0.96 c7_0: $o)). % 0.80/0.96 tff(c8_0_type, type, ( % 0.80/0.96 c8_0: $o)). % 0.80/0.96 tff(tptp_fun__i_val_24_type, type, ( % 0.80/0.96 tptp_fun__i_val_24: $i)). % 0.80/0.96 tff(a231_type, type, ( % 0.80/0.96 a231: $i)). % 0.80/0.96 tff(tptp_fun__i_val_32_type, type, ( % 0.80/0.96 tptp_fun__i_val_32: $i)). % 0.80/0.96 tff(a242_type, type, ( % 0.80/0.96 a242: $i)). % 0.80/0.96 tff(tptp_fun__i_val_20_type, type, ( % 0.80/0.96 tptp_fun__i_val_20: $i)). % 0.80/0.96 tff(a217_type, type, ( % 0.80/0.96 a217: $i)). % 0.80/0.96 tff(tptp_fun__i_val_12_type, type, ( % 0.80/0.96 tptp_fun__i_val_12: $i)). % 0.80/0.96 tff(a188_type, type, ( % 0.80/0.96 a188: $i)). % 0.80/0.96 tff(tptp_fun__i_val_30_type, type, ( % 0.80/0.96 tptp_fun__i_val_30: $i)). % 0.80/0.96 tff(a246_type, type, ( % 0.80/0.96 a246: $i)). % 0.80/0.96 tff(tptp_fun__i_val_42_type, type, ( % 0.80/0.96 tptp_fun__i_val_42: $i)). % 0.80/0.96 tff(a147_type, type, ( % 0.80/0.96 a147: $i)). % 0.80/0.96 tff(c1_0_type, type, ( % 0.80/0.96 c1_0: $o)). % 0.80/0.96 tff(tptp_fun__i_val_25_type, type, ( % 0.80/0.96 tptp_fun__i_val_25: $i)). % 0.80/0.96 tff(a232_type, type, ( % 0.80/0.96 a232: $i)). % 0.80/0.96 tff(tptp_fun__i_val_37_type, type, ( % 0.80/0.96 tptp_fun__i_val_37: $i)). % 0.80/0.96 tff(a283_type, type, ( % 0.80/0.96 a283: $i)). % 0.80/0.96 tff(tptp_fun__i_val_4_type, type, ( % 0.80/0.96 tptp_fun__i_val_4: $i)). % 0.80/0.96 tff(a157_type, type, ( % 0.80/0.96 a157: $i)). % 0.80/0.96 tff(tptp_fun__i_val_9_type, type, ( % 0.80/0.96 tptp_fun__i_val_9: $i)). % 0.80/0.96 tff(a178_type, type, ( % 0.80/0.96 a178: $i)). % 0.80/0.96 tff(tptp_fun__i_val_35_type, type, ( % 0.80/0.96 tptp_fun__i_val_35: $i)). % 0.80/0.96 tff(a265_type, type, ( % 0.80/0.96 a265: $i)). % 0.80/0.96 tff(tptp_fun__i_val_1_type, type, ( % 0.80/0.96 tptp_fun__i_val_1: $i)). % 0.80/0.96 tff(a150_type, type, ( % 0.80/0.96 a150: $i)). % 0.80/0.96 tff(tptp_fun__i_val_41_type, type, ( % 0.80/0.96 tptp_fun__i_val_41: $i)). % 0.80/0.96 tff(a210_type, type, ( % 0.80/0.96 a210: $i)). % 0.80/0.96 tff(tptp_fun__i_val_36_type, type, ( % 0.80/0.96 tptp_fun__i_val_36: $i)). % 0.80/0.96 tff(a281_type, type, ( % 0.80/0.96 a281: $i)). % 0.80/0.96 tff(tptp_fun__i_val_16_type, type, ( % 0.80/0.96 tptp_fun__i_val_16: $i)). % 0.80/0.96 tff(a200_type, type, ( % 0.80/0.96 a200: $i)). % 0.80/0.96 tff(tptp_fun__i_val_47_type, type, ( % 0.80/0.96 tptp_fun__i_val_47: $i)). % 0.80/0.96 tff(a291_type, type, ( % 0.80/0.96 a291: $i)). % 0.80/0.96 tff(c4_0_type, type, ( % 0.80/0.96 c4_0: $o)). % 0.80/0.96 tff(tptp_fun__i_val_34_type, type, ( % 0.80/0.96 tptp_fun__i_val_34: $i)). % 0.80/0.96 tff(a253_type, type, ( % 0.80/0.96 a253: $i)). % 0.80/0.96 tff(tptp_fun__i_val_21_type, type, ( % 0.80/0.96 tptp_fun__i_val_21: $i)). % 0.80/0.96 tff(a223_type, type, ( % 0.80/0.96 a223: $i)). % 0.80/0.96 tff(tptp_fun__i_val_39_type, type, ( % 0.80/0.96 tptp_fun__i_val_39: $i)). % 0.80/0.96 tff(a152_type, type, ( % 0.80/0.96 a152: $i)). % 0.80/0.96 tff(tptp_fun__i_val_7_type, type, ( % 0.80/0.96 tptp_fun__i_val_7: $i)). % 0.80/0.96 tff(a165_type, type, ( % 0.80/0.96 a165: $i)). % 0.80/0.96 tff(c2_0_type, type, ( % 0.80/0.96 c2_0: $o)). % 0.80/0.96 tff(c6_0_type, type, ( % 0.80/0.96 c6_0: $o)). % 0.80/0.96 tff(tptp_fun__i_val_0_type, type, ( % 0.80/0.96 tptp_fun__i_val_0: $i)). % 0.80/0.96 tff(a148_type, type, ( % 0.80/0.96 a148: $i)). % 0.80/0.96 tff(tptp_fun__i_val_6_type, type, ( % 0.80/0.96 tptp_fun__i_val_6: $i)). % 0.80/0.96 tff(a164_type, type, ( % 0.80/0.96 a164: $i)). % 0.80/0.96 tff(tptp_fun__i_val_19_type, type, ( % 0.80/0.96 tptp_fun__i_val_19: $i)). % 0.80/0.96 tff(a209_type, type, ( % 0.80/0.96 a209: $i)). % 0.80/0.96 tff(tptp_fun__i_val_8_type, type, ( % 0.80/0.96 tptp_fun__i_val_8: $i)). % 0.80/0.96 tff(a169_type, type, ( % 0.80/0.96 a169: $i)). % 0.80/0.96 tff(tptp_fun__i_val_27_type, type, ( % 0.80/0.96 tptp_fun__i_val_27: $i)). % 0.80/0.96 tff(a235_type, type, ( % 0.80/0.96 a235: $i)). % 0.80/0.96 tff(tptp_fun__i_val_29_type, type, ( % 0.80/0.96 tptp_fun__i_val_29: $i)). % 0.80/0.96 tff(a245_type, type, ( % 0.80/0.96 a245: $i)). % 0.80/0.96 tff(tptp_fun__i_val_13_type, type, ( % 0.80/0.96 tptp_fun__i_val_13: $i)). % 0.80/0.96 tff(a191_type, type, ( % 0.80/0.96 a191: $i)). % 0.80/0.96 tff(tptp_fun__i_val_17_type, type, ( % 0.80/0.96 tptp_fun__i_val_17: $i)). % 0.80/0.96 tff(a203_type, type, ( % 0.80/0.96 a203: $i)). % 0.80/0.96 tff(tptp_fun__i_val_44_type, type, ( % 0.80/0.96 tptp_fun__i_val_44: $i)). % 0.80/0.96 tff(a263_type, type, ( % 0.80/0.96 a263: $i)). % 0.80/0.96 tff(tptp_fun__i_val_15_type, type, ( % 0.80/0.96 tptp_fun__i_val_15: $i)). % 0.80/0.96 tff(a183_type, type, ( % 0.80/0.96 a183: $i)). % 0.80/0.96 tff(ndr1_0_type, type, ( % 0.80/0.96 ndr1_0: $o)). % 0.80/0.96 tff(c3_0_type, type, ( % 0.80/0.96 c3_0: $o)). % 0.80/0.96 tff(tptp_fun__i_val_14_type, type, ( % 0.80/0.96 tptp_fun__i_val_14: $i)). % 0.80/0.96 tff(a192_type, type, ( % 0.80/0.96 a192: $i)). % 0.80/0.96 tff(tptp_fun__i_val_26_type, type, ( % 0.80/0.96 tptp_fun__i_val_26: $i)). % 0.80/0.96 tff(a233_type, type, ( % 0.80/0.96 a233: $i)). % 0.80/0.96 tff(tptp_fun__i_val_31_type, type, ( % 0.80/0.96 tptp_fun__i_val_31: $i)). % 0.80/0.96 tff(a241_type, type, ( % 0.80/0.96 a241: $i)). % 0.80/0.96 tff(tptp_fun__i_val_43_type, type, ( % 0.80/0.96 tptp_fun__i_val_43: $i)). % 0.80/0.96 tff(a151_type, type, ( % 0.80/0.96 a151: $i)). % 0.80/0.96 tff(tptp_fun__i_val_2_type, type, ( % 0.80/0.96 tptp_fun__i_val_2: $i)). % 0.80/0.96 tff(a153_type, type, ( % 0.80/0.96 a153: $i)). % 0.80/0.96 tff(tptp_fun__i_val_10_type, type, ( % 0.80/0.96 tptp_fun__i_val_10: $i)). % 0.80/0.96 tff(a186_type, type, ( % 0.80/0.96 a186: $i)). % 0.80/0.96 tff(a196_type, type, ( % 0.80/0.96 a196: $i)). % 0.80/0.96 tff(tptp_fun__i_val_18_type, type, ( % 0.80/0.96 tptp_fun__i_val_18: $i)). % 0.80/0.96 tff(a208_type, type, ( % 0.80/0.96 a208: $i)). % 0.80/0.96 tff(tptp_fun__i_val_22_type, type, ( % 0.80/0.96 tptp_fun__i_val_22: $i)). % 0.80/0.96 tff(a226_type, type, ( % 0.80/0.96 a226: $i)). % 0.80/0.96 tff(tptp_fun__i_val_23_type, type, ( % 0.80/0.96 tptp_fun__i_val_23: $i)). % 0.80/0.96 tff(a227_type, type, ( % 0.80/0.96 a227: $i)). % 0.80/0.96 tff(tptp_fun__i_val_28_type, type, ( % 0.80/0.96 tptp_fun__i_val_28: $i)). % 0.80/0.96 tff(a244_type, type, ( % 0.80/0.96 a244: $i)). % 0.80/0.96 tff(c5_0_type, type, ( % 0.80/0.96 c5_0: $o)). % 0.80/0.96 tff(tptp_fun__i_val_11_type, type, ( % 0.80/0.96 tptp_fun__i_val_11: $i)). % 0.80/0.96 tff(a187_type, type, ( % 0.80/0.96 a187: $i)). % 0.80/0.96 tff(tptp_fun__i_val_46_type, type, ( % 0.80/0.96 tptp_fun__i_val_46: $i)). % 0.80/0.96 tff(a290_type, type, ( % 0.80/0.96 a290: $i)). % 0.80/0.96 tff(tptp_fun__i_val_3_type, type, ( % 0.80/0.96 tptp_fun__i_val_3: $i)). % 0.80/0.96 tff(a154_type, type, ( % 0.80/0.96 a154: $i)). % 0.80/0.96 tff(tptp_fun__i_val_40_type, type, ( % 0.80/0.96 tptp_fun__i_val_40: $i)). % 0.80/0.96 tff(a175_type, type, ( % 0.80/0.96 a175: $i)). % 0.80/0.96 tff(tptp_fun__i_val_33_type, type, ( % 0.80/0.96 tptp_fun__i_val_33: $i)). % 0.80/0.96 tff(a252_type, type, ( % 0.80/0.96 a252: $i)). % 0.80/0.96 tff(k!480_type, type, ( % 0.80/0.96 k!480: $i > $i)). % 0.80/0.96 tff(ndr1_1_type, type, ( % 0.80/0.96 ndr1_1: $i > $o)). % 0.80/0.96 tff(k!479_type, type, ( % 0.80/0.96 k!479: $i > $i)). % 0.80/0.96 tff(c7_2_type, type, ( % 0.80/0.96 c7_2: ( $i * $i ) > $o)). % 0.80/0.96 tff(c5_1_type, type, ( % 0.80/0.96 c5_1: $i > $o)). % 0.80/0.96 tff(c2_1_type, type, ( % 0.80/0.96 c2_1: $i > $o)). % 0.80/0.96 tff(c3_1_type, type, ( % 0.80/0.96 c3_1: $i > $o)). % 0.80/0.96 tff(c4_1_type, type, ( % 0.80/0.96 c4_1: $i > $o)). % 0.80/0.96 tff(c1_2_type, type, ( % 0.80/0.96 c1_2: ( $i * $i ) > $o)). % 0.80/0.96 tff(c1_1_type, type, ( % 0.80/0.96 c1_1: $i > $o)). % 0.80/0.96 tff(c3_2_type, type, ( % 0.80/0.96 c3_2: ( $i * $i ) > $o)). % 0.80/0.96 tff(c4_2_type, type, ( % 0.80/0.96 c4_2: ( $i * $i ) > $o)). % 0.80/0.96 tff(c7_1_type, type, ( % 0.80/0.96 c7_1: $i > $o)). % 0.80/0.96 tff(c5_2_type, type, ( % 0.80/0.96 c5_2: ( $i * $i ) > $o)). % 0.80/0.96 tff(c8_2_type, type, ( % 0.80/0.96 c8_2: ( $i * $i ) > $o)). % 0.80/0.96 tff(c6_1_type, type, ( % 0.80/0.96 c6_1: $i > $o)). % 0.80/0.96 tff(c8_1_type, type, ( % 0.80/0.96 c8_1: $i > $o)). % 0.80/0.96 tff(c2_2_type, type, ( % 0.80/0.96 c2_2: ( $i * $i ) > $o)). % 0.80/0.96 tff(c6_2_type, type, ( % 0.80/0.96 c6_2: ( $i * $i ) > $o)). % 0.80/0.96 tff(formula1, axiom, % 0.80/0.96 a264 = $i!val!45). % 0.80/0.96 tff(formula2, axiom, % 0.80/0.96 a160 = $i!val!5). % 0.80/0.96 tff(formula3, axiom, % 0.80/0.96 a282 = $i!val!38). % 0.80/0.96 tff(formula4, axiom, % 0.80/0.96 c7_0 <=> $true). % 0.80/0.96 tff(formula5, axiom, % 0.80/0.96 c8_0 <=> $true). % 0.80/0.96 tff(formula6, axiom, % 0.80/0.96 a231 = $i!val!24). % 0.80/0.96 tff(formula7, axiom, % 0.80/0.96 a242 = $i!val!32). % 0.80/0.96 tff(formula8, axiom, % 0.80/0.96 a217 = $i!val!20). % 0.80/0.96 tff(formula9, axiom, % 0.80/0.96 a188 = $i!val!12). % 0.80/0.96 tff(formula10, axiom, % 0.80/0.96 a246 = $i!val!30). % 0.80/0.96 tff(formula11, axiom, % 0.80/0.96 a147 = $i!val!42). % 0.80/0.96 tff(formula12, axiom, % 0.80/0.96 c1_0 <=> $true). % 0.80/0.96 tff(formula13, axiom, % 0.80/0.96 a232 = $i!val!25). % 0.80/0.96 tff(formula14, axiom, % 0.80/0.96 a283 = $i!val!37). % 0.80/0.96 tff(formula15, axiom, % 0.80/0.96 a157 = $i!val!4). % 0.80/0.96 tff(formula16, axiom, % 0.80/0.96 a178 = $i!val!9). % 0.80/0.96 tff(formula17, axiom, % 0.80/0.96 a265 = $i!val!35). % 0.80/0.96 tff(formula18, axiom, % 0.80/0.96 a150 = $i!val!1). % 0.80/0.96 tff(formula19, axiom, % 0.80/0.96 a210 = $i!val!41). % 0.80/0.96 tff(formula20, axiom, % 0.80/0.96 a281 = $i!val!36). % 0.80/0.96 tff(formula21, axiom, % 0.80/0.96 a200 = $i!val!16). % 0.80/0.96 tff(formula22, axiom, % 0.80/0.96 a291 = $i!val!47). % 0.80/0.96 tff(formula23, axiom, % 0.80/0.96 c4_0 <=> $true). % 0.80/0.96 tff(formula24, axiom, % 0.80/0.96 a253 = $i!val!34). % 0.80/0.96 tff(formula25, axiom, % 0.80/0.96 a223 = $i!val!21). % 0.80/0.96 tff(formula26, axiom, % 0.80/0.96 a152 = $i!val!39). % 0.80/0.96 tff(formula27, axiom, % 0.80/0.96 a165 = $i!val!7). % 0.80/0.96 tff(formula28, axiom, % 0.80/0.96 c2_0 <=> $false). % 0.80/0.96 tff(formula29, axiom, % 0.80/0.96 c6_0 <=> $true). % 0.80/0.96 tff(formula30, axiom, % 0.80/0.96 a148 = $i!val!0). % 0.80/0.96 tff(formula31, axiom, % 0.80/0.96 a164 = $i!val!6). % 0.80/0.96 tff(formula32, axiom, % 0.80/0.96 a209 = $i!val!19). % 0.80/0.96 tff(formula33, axiom, % 0.80/0.96 a169 = $i!val!8). % 0.80/0.96 tff(formula34, axiom, % 0.80/0.96 a235 = $i!val!27). % 0.80/0.96 tff(formula35, axiom, % 0.80/0.96 a245 = $i!val!29). % 0.80/0.96 tff(formula36, axiom, % 0.80/0.96 a191 = $i!val!13). % 0.80/0.96 tff(formula37, axiom, % 0.80/0.96 a203 = $i!val!17). % 0.80/0.96 tff(formula38, axiom, % 0.80/0.96 a263 = $i!val!44). % 0.80/0.96 tff(formula39, axiom, % 0.80/0.96 a183 = $i!val!15). % 0.80/0.96 tff(formula40, axiom, % 0.80/0.96 ndr1_0 <=> $true). % 0.80/0.96 tff(formula41, axiom, % 0.80/0.96 c3_0 <=> $true). % 0.80/0.96 tff(formula42, axiom, % 0.80/0.96 a192 = $i!val!14). % 0.80/0.96 tff(formula43, axiom, % 0.80/0.96 a233 = $i!val!26). % 0.80/0.96 tff(formula44, axiom, % 0.80/0.96 a241 = $i!val!31). % 0.80/0.96 tff(formula45, axiom, % 0.80/0.96 a151 = $i!val!43). % 0.80/0.96 tff(formula46, axiom, % 0.80/0.96 a153 = $i!val!2). % 0.80/0.96 tff(formula47, axiom, % 0.80/0.96 a186 = $i!val!10). % 0.80/0.96 tff(formula48, axiom, % 0.80/0.96 a196 = $i!val!15). % 0.80/0.96 tff(formula49, axiom, % 0.80/0.96 a208 = $i!val!18). % 0.80/0.96 tff(formula50, axiom, % 0.80/0.96 a226 = $i!val!22). % 0.80/0.96 tff(formula51, axiom, % 0.80/0.96 a227 = $i!val!23). % 0.80/0.96 tff(formula52, axiom, % 0.80/0.96 a244 = $i!val!28). % 0.80/0.96 tff(formula53, axiom, % 0.80/0.96 c5_0 <=> $true). % 0.80/0.96 tff(formula54, axiom, % 0.80/0.96 a187 = $i!val!11). % 0.80/0.96 tff(formula55, axiom, % 0.80/0.96 a290 = $i!val!46). % 0.80/0.96 tff(formula56, axiom, % 0.80/0.96 a154 = $i!val!3). % 0.80/0.96 tff(formula57, axiom, % 0.80/0.96 a175 = $i!val!40). % 0.80/0.96 tff(formula58, axiom, % 0.80/0.96 a252 = $i!val!33). % 0.80/0.96 tff(formula59, axiom, % 0.80/0.96 ![X0: $i] : (ndr1_1(X0) <=> ((~(k!480(X0) = $i!val!4)) & (~(k!480(X0) = $i!val!27)) & (~(k!480(X0) = $i!val!2)) & (~(k!480(X0) = $i!val!34)) & (~(k!480(X0) = $i!val!33)) & (~(k!480(X0) = $i!val!21)) & (~(k!480(X0) = $i!val!31)) & (~(k!480(X0) = $i!val!26)) & (~(k!480(X0) = $i!val!23)) & (~(k!480(X0) = $i!val!5))))). % 0.80/0.96 tff(formula60, axiom, % 0.80/0.96 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!480(X1) = $i!val!11) & (k!479(X0) = $i!val!39)) | ((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!39)) | ((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!45)) | ((k!480(X1) = $i!val!3) & (k!479(X0) = $i!val!47)) | ((k!480(X1) = $i!val!6) & (k!479(X0) = $i!val!39)) | ((k!480(X1) = $i!val!3) & (k!479(X0) = $i!val!45)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!45)) | ((k!480(X1) = $i!val!36) & (k!479(X0) = $i!val!39)) | ((k!480(X1) = $i!val!3) & (k!479(X0) = $i!val!39)) | ((k!480(X1) = $i!val!36) & (k!479(X0) = $i!val!38)) | ((k!480(X1) = $i!val!13) & (k!479(X0) = $i!val!14)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!47)) | ((k!480(X1) = $i!val!13) & (k!479(X0) = $i!val!47))))). % 0.80/0.96 tff(formula61, axiom, % 0.80/0.96 ![X0: $i] : (c5_1(X0) <=> ((~(k!480(X0) = $i!val!16)) & (~(k!480(X0) = $i!val!0)) & (~(k!480(X0) = $i!val!27)) & (~(k!480(X0) = $i!val!17)) & (~(k!480(X0) = $i!val!34)) & (~(k!480(X0) = $i!val!21)) & (~(k!480(X0) = $i!val!28)) & (~(k!480(X0) = $i!val!23)) & (~(k!480(X0) = $i!val!22)) & (~(k!480(X0) = $i!val!13))))). % 0.80/0.96 tff(formula62, axiom, % 0.80/0.96 k!479($i!val!7) = $i!val!7). % 0.80/0.96 tff(formula63, axiom, % 0.80/0.96 k!479($i!val!42) = $i!val!42). % 0.80/0.96 tff(formula64, axiom, % 0.80/0.96 k!479($i!val!45) = $i!val!45). % 0.80/0.96 tff(formula65, axiom, % 0.80/0.96 k!479($i!val!25) = $i!val!25). % 0.80/0.96 tff(formula66, axiom, % 0.80/0.96 k!479($i!val!43) = $i!val!43). % 0.80/0.96 tff(formula67, axiom, % 0.80/0.96 k!479($i!val!37) = $i!val!37). % 0.80/0.96 tff(formula68, axiom, % 0.80/0.96 k!479($i!val!38) = $i!val!38). % 0.80/0.96 tff(formula69, axiom, % 0.80/0.96 k!479($i!val!29) = $i!val!29). % 0.80/0.96 tff(formula70, axiom, % 0.80/0.96 k!479($i!val!44) = $i!val!44). % 0.80/0.96 tff(formula71, axiom, % 0.80/0.96 k!479($i!val!19) = $i!val!19). % 0.80/0.96 tff(formula72, axiom, % 0.80/0.96 k!479($i!val!9) = $i!val!9). % 0.80/0.96 tff(formula73, axiom, % 0.80/0.96 k!479($i!val!41) = $i!val!41). % 0.80/0.96 tff(formula74, axiom, % 0.80/0.96 k!479($i!val!1) = $i!val!1). % 0.80/0.96 tff(formula75, axiom, % 0.80/0.96 k!479($i!val!32) = $i!val!32). % 0.80/0.96 tff(formula76, axiom, % 0.80/0.96 k!479($i!val!14) = $i!val!14). % 0.80/0.96 tff(formula77, axiom, % 0.80/0.96 k!479($i!val!46) = $i!val!46). % 0.80/0.96 tff(formula78, axiom, % 0.80/0.96 k!479($i!val!47) = $i!val!47). % 0.80/0.96 tff(formula79, axiom, % 0.80/0.96 k!479($i!val!30) = $i!val!30). % 0.80/0.96 tff(formula80, axiom, % 0.80/0.96 k!479($i!val!40) = $i!val!40). % 0.80/0.96 tff(formula81, axiom, % 0.80/0.96 k!479($i!val!12) = $i!val!12). % 0.80/0.96 tff(formula82, axiom, % 0.80/0.96 ![X0: $i] : ((~((($i!val!7 = X0)) | (($i!val!42 = X0)) | (($i!val!45 = X0)) | (($i!val!25 = X0)) | (($i!val!43 = X0)) | (($i!val!37 = X0)) | (($i!val!38 = X0)) | (($i!val!29 = X0)) | (($i!val!44 = X0)) | (($i!val!19 = X0)) | (($i!val!9 = X0)) | (($i!val!41 = X0)) | (($i!val!1 = X0)) | (($i!val!32 = X0)) | (($i!val!14 = X0)) | (($i!val!46 = X0)) | (($i!val!47 = X0)) | (($i!val!30 = X0)) | (($i!val!40 = X0)) | (($i!val!12 = X0)))) => (k!479(X0) = $i!val!39))). % 0.80/0.96 tff(formula83, axiom, % 0.80/0.96 ![X0: $i] : (c2_1(X0) <=> (~((X0 = $i!val!20) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!34)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!10)))))). % 0.80/0.96 tff(formula84, axiom, % 0.80/0.96 ![X0: $i] : (c3_1(X0) <=> ((~(k!480(X0) = $i!val!21)) & (~(k!480(X0) = $i!val!22)) & (~(k!480(X0) = $i!val!31)) & (~(k!480(X0) = $i!val!23)) & (~(k!480(X0) = $i!val!34)) & (~(k!480(X0) = $i!val!27)) & (~(k!480(X0) = $i!val!11))))). % 0.80/0.97 tff(formula85, axiom, % 0.80/0.97 ![X0: $i] : (c4_1(X0) <=> ((k!480(X0) = $i!val!17) | (k!480(X0) = $i!val!11) | (k!480(X0) = $i!val!24) | (k!480(X0) = $i!val!13) | (k!480(X0) = $i!val!3)))). % 0.80/0.97 tff(formula86, axiom, % 0.80/0.97 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!45)) | ((k!480(X1) = $i!val!6) & (k!479(X0) = $i!val!39)) | ((k!480(X1) = $i!val!3) & (k!479(X0) = $i!val!45)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!45))))). % 0.80/0.97 tff(formula87, axiom, % 0.80/0.97 ![X0: $i] : (c1_1(X0) <=> ((k!480(X0) = $i!val!10) | (k!480(X0) = $i!val!33) | (k!480(X0) = $i!val!13)))). % 0.80/0.97 tff(formula88, axiom, % 0.80/0.97 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!480(X1) = $i!val!16) & (k!479(X0) = $i!val!40)) | ((k!480(X1) = $i!val!11) & (k!479(X0) = $i!val!12)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!40)) | ((k!480(X1) = $i!val!6) & (k!479(X0) = $i!val!40)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!47)) | ((k!480(X1) = $i!val!6) & (k!479(X0) = $i!val!7))))). % 0.80/0.97 tff(formula89, axiom, % 0.80/0.97 k!480($i!val!5) = $i!val!5). % 0.80/0.97 tff(formula90, axiom, % 0.80/0.97 k!480($i!val!0) = $i!val!0). % 0.80/0.97 tff(formula91, axiom, % 0.80/0.97 k!480($i!val!6) = $i!val!6). % 0.80/0.97 tff(formula92, axiom, % 0.80/0.97 k!480($i!val!27) = $i!val!27). % 0.80/0.97 tff(formula93, axiom, % 0.80/0.97 k!480($i!val!8) = $i!val!8). % 0.80/0.97 tff(formula94, axiom, % 0.80/0.97 k!480($i!val!13) = $i!val!13). % 0.80/0.97 tff(formula95, axiom, % 0.80/0.97 k!480($i!val!17) = $i!val!17). % 0.80/0.97 tff(formula96, axiom, % 0.80/0.97 k!480($i!val!24) = $i!val!24). % 0.80/0.97 tff(formula97, axiom, % 0.80/0.97 k!480($i!val!26) = $i!val!26). % 0.80/0.97 tff(formula98, axiom, % 0.80/0.97 k!480($i!val!20) = $i!val!20). % 0.80/0.97 tff(formula99, axiom, % 0.80/0.97 k!480($i!val!31) = $i!val!31). % 0.80/0.97 tff(formula100, axiom, % 0.80/0.97 k!480($i!val!18) = $i!val!18). % 0.80/0.97 tff(formula101, axiom, % 0.80/0.97 k!480($i!val!2) = $i!val!2). % 0.80/0.97 tff(formula102, axiom, % 0.80/0.97 k!480($i!val!10) = $i!val!10). % 0.80/0.97 tff(formula103, axiom, % 0.80/0.97 k!480($i!val!15) = $i!val!15). % 0.80/0.97 tff(formula104, axiom, % 0.80/0.97 k!480($i!val!4) = $i!val!4). % 0.80/0.97 tff(formula105, axiom, % 0.80/0.97 k!480($i!val!22) = $i!val!22). % 0.80/0.97 tff(formula106, axiom, % 0.80/0.97 k!480($i!val!23) = $i!val!23). % 0.80/0.97 tff(formula107, axiom, % 0.80/0.97 k!480($i!val!35) = $i!val!35). % 0.80/0.97 tff(formula108, axiom, % 0.80/0.97 k!480($i!val!28) = $i!val!28). % 0.80/0.97 tff(formula109, axiom, % 0.80/0.97 k!480($i!val!11) = $i!val!11). % 0.80/0.97 tff(formula110, axiom, % 0.80/0.97 k!480($i!val!36) = $i!val!36). % 0.80/0.97 tff(formula111, axiom, % 0.80/0.97 k!480($i!val!16) = $i!val!16). % 0.80/0.97 tff(formula112, axiom, % 0.80/0.97 k!480($i!val!3) = $i!val!3). % 0.80/0.97 tff(formula113, axiom, % 0.80/0.97 k!480($i!val!34) = $i!val!34). % 0.80/0.97 tff(formula114, axiom, % 0.80/0.97 k!480($i!val!33) = $i!val!33). % 0.80/0.97 tff(formula115, axiom, % 0.80/0.97 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!0 = X0)) | (($i!val!6 = X0)) | (($i!val!27 = X0)) | (($i!val!8 = X0)) | (($i!val!13 = X0)) | (($i!val!17 = X0)) | (($i!val!24 = X0)) | (($i!val!26 = X0)) | (($i!val!20 = X0)) | (($i!val!31 = X0)) | (($i!val!18 = X0)) | (($i!val!2 = X0)) | (($i!val!10 = X0)) | (($i!val!15 = X0)) | (($i!val!4 = X0)) | (($i!val!22 = X0)) | (($i!val!23 = X0)) | (($i!val!35 = X0)) | (($i!val!28 = X0)) | (($i!val!11 = X0)) | (($i!val!36 = X0)) | (($i!val!16 = X0)) | (($i!val!3 = X0)) | (($i!val!34 = X0)) | (($i!val!33 = X0)))) => (k!480(X0) = $i!val!21))). % 0.80/0.97 tff(formula116, axiom, % 0.80/0.97 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((~((k!480(X1) = $i!val!3) & (k!479(X0) = $i!val!47))) & (~((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!47))) & (~((k!480(X1) = $i!val!13) & (k!479(X0) = $i!val!47))) & (~((k!480(X1) = $i!val!11) & (k!479(X0) = $i!val!39))) & (~((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!39))) & (~((k!480(X1) = $i!val!6) & (k!479(X0) = $i!val!39))) & (~((k!480(X1) = $i!val!36) & (k!479(X0) = $i!val!39))) & (~((k!480(X1) = $i!val!3) & (k!479(X0) = $i!val!39))) & (~((k!480(X1) = $i!val!27) & (k!479(X0) = $i!val!1))) & (~((k!480(X1) = $i!val!27) & (k!479(X0) = $i!val!40))) & (~((k!480(X1) = $i!val!11) & (k!479(X0) = $i!val!12)))))). % 0.80/0.97 tff(formula117, axiom, % 0.80/0.97 ![X0: $i] : (c7_1(X0) <=> ((X0 = $i!val!20) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!34)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!10))))). % 0.80/0.97 tff(formula118, axiom, % 0.80/0.97 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!480(X1) = $i!val!6) & (k!479(X0) = $i!val!42)) | ((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!42)) | ((k!480(X1) = $i!val!16) & (k!479(X0) = $i!val!40)) | ((k!480(X1) = $i!val!16) & (k!479(X0) = $i!val!42)) | ((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!45)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!40)) | ((k!480(X1) = $i!val!17) & (k!479(X0) = $i!val!42)) | ((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!25)) | ((k!480(X1) = $i!val!0) & (k!479(X0) = $i!val!42)) | ((k!480(X1) = $i!val!36) & (k!479(X0) = $i!val!42)) | ((k!480(X1) = $i!val!6) & (k!479(X0) = $i!val!40)) | ((k!480(X1) = $i!val!3) & (k!479(X0) = $i!val!45)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!45))))). % 0.80/0.97 tff(formula119, axiom, % 0.80/0.97 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!480(X1) = $i!val!3) & (k!479(X0) = $i!val!41)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!41)) | ((k!480(X1) = $i!val!36) & (k!479(X0) = $i!val!37)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!30)) | ((k!480(X1) = $i!val!17) & (k!479(X0) = $i!val!41)) | ((k!480(X1) = $i!val!11) & (k!479(X0) = $i!val!41)) | ((k!480(X1) = $i!val!36) & (k!479(X0) = $i!val!38)) | ((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!41)) | ((k!480(X1) = $i!val!13) & (k!479(X0) = $i!val!41))))). % 0.80/0.97 tff(formula120, axiom, % 0.80/0.97 ![X0: $i] : (c6_1(X0) <=> ((k!480(X0) = $i!val!16) | (k!480(X0) = $i!val!6) | (k!480(X0) = $i!val!3)))). % 0.80/0.97 tff(formula121, axiom, % 0.80/0.97 c8_1($i!val!24) <=> $false). % 0.80/0.97 tff(formula122, axiom, % 0.80/0.97 c8_1($i!val!34) <=> $false). % 0.80/0.97 tff(formula123, axiom, % 0.80/0.97 ![X0: $i] : ((~((($i!val!24 = X0)) | (($i!val!34 = X0)))) => (c8_1(X0) <=> $true))). % 0.80/0.97 tff(formula124, axiom, % 0.80/0.97 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!480(X1) = $i!val!3) & (k!479(X0) = $i!val!47)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!45)) | ((k!480(X1) = $i!val!36) & (k!479(X0) = $i!val!39)) | ((k!480(X1) = $i!val!36) & (k!479(X0) = $i!val!38)) | ((k!480(X1) = $i!val!28) & (k!479(X0) = $i!val!47)) | ((k!480(X1) = $i!val!13) & (k!479(X0) = $i!val!47))))). % 0.80/0.97 tff(formula125, axiom, % 0.80/0.97 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!42)) | ((k!480(X1) = $i!val!11) & (k!479(X0) = $i!val!39)) | ((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!39)) | ((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!46)) | ((k!480(X1) = $i!val!11) & (k!479(X0) = $i!val!46)) | ((k!480(X1) = $i!val!24) & (k!479(X0) = $i!val!25))))). % 0.80/0.97 % SZS output end Model % 0.80/0.97 % E exiting %------------------------------------------------------------------------------