%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN419+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n013.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 05:39:01 AM UTC 2025 % Result : CounterSatisfiable 0.56s 0.72s % Output : Model 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN419+1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n013.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Jun 20 12:34:23 EDT 2025 % 0.12/0.34 % CPUTime : % 0.56/0.72 % SZS status CounterSatisfiable % 0.56/0.72 % SZS output start Model % 0.56/0.72 tff(tptp_fun__i_val_22_type, type, ( % 0.56/0.72 tptp_fun__i_val_22: $i)). % 0.56/0.72 tff(a264_type, type, ( % 0.56/0.72 a264: $i)). % 0.56/0.72 tff(tptp_fun__i_val_11_type, type, ( % 0.56/0.72 tptp_fun__i_val_11: $i)). % 0.56/0.72 tff(a215_type, type, ( % 0.56/0.72 a215: $i)). % 0.56/0.72 tff(c9_0_type, type, ( % 0.56/0.72 c9_0: $o)). % 0.56/0.72 tff(tptp_fun__i_val_16_type, type, ( % 0.56/0.72 tptp_fun__i_val_16: $i)). % 0.56/0.72 tff(a240_type, type, ( % 0.56/0.72 a240: $i)). % 0.56/0.72 tff(c7_0_type, type, ( % 0.56/0.72 c7_0: $o)). % 0.56/0.72 tff(c8_0_type, type, ( % 0.56/0.72 c8_0: $o)). % 0.56/0.72 tff(tptp_fun__i_val_18_type, type, ( % 0.56/0.72 tptp_fun__i_val_18: $i)). % 0.56/0.72 tff(a242_type, type, ( % 0.56/0.72 a242: $i)). % 0.56/0.72 tff(tptp_fun__i_val_30_type, type, ( % 0.56/0.72 tptp_fun__i_val_30: $i)). % 0.56/0.72 tff(a188_type, type, ( % 0.56/0.72 a188: $i)). % 0.56/0.72 tff(c10_0_type, type, ( % 0.56/0.72 c10_0: $o)). % 0.56/0.72 tff(c1_0_type, type, ( % 0.56/0.72 c1_0: $o)). % 0.56/0.72 tff(tptp_fun__i_val_12_type, type, ( % 0.56/0.72 tptp_fun__i_val_12: $i)). % 0.56/0.72 tff(a232_type, type, ( % 0.56/0.72 a232: $i)). % 0.56/0.72 tff(tptp_fun__i_val_0_type, type, ( % 0.56/0.72 tptp_fun__i_val_0: $i)). % 0.56/0.72 tff(a168_type, type, ( % 0.56/0.72 a168: $i)). % 0.56/0.72 tff(tptp_fun__i_val_1_type, type, ( % 0.56/0.72 tptp_fun__i_val_1: $i)). % 0.56/0.72 tff(a170_type, type, ( % 0.56/0.72 a170: $i)). % 0.56/0.72 tff(tptp_fun__i_val_28_type, type, ( % 0.56/0.72 tptp_fun__i_val_28: $i)). % 0.56/0.72 tff(a211_type, type, ( % 0.56/0.72 a211: $i)). % 0.56/0.72 tff(tptp_fun__i_val_10_type, type, ( % 0.56/0.72 tptp_fun__i_val_10: $i)). % 0.56/0.72 tff(a254_type, type, ( % 0.56/0.72 a254: $i)). % 0.56/0.72 tff(tptp_fun__i_val_21_type, type, ( % 0.56/0.72 tptp_fun__i_val_21: $i)). % 0.56/0.72 tff(a262_type, type, ( % 0.56/0.72 a262: $i)). % 0.56/0.72 tff(tptp_fun__i_val_40_type, type, ( % 0.56/0.72 tptp_fun__i_val_40: $i)). % 0.56/0.72 tff(a255_type, type, ( % 0.56/0.72 a255: $i)). % 0.56/0.72 tff(tptp_fun__i_val_5_type, type, ( % 0.56/0.72 tptp_fun__i_val_5: $i)). % 0.56/0.72 tff(a178_type, type, ( % 0.56/0.72 a178: $i)). % 0.56/0.72 tff(tptp_fun__i_val_35_type, type, ( % 0.56/0.72 tptp_fun__i_val_35: $i)). % 0.56/0.72 tff(a194_type, type, ( % 0.56/0.72 a194: $i)). % 0.56/0.72 tff(tptp_fun__i_val_27_type, type, ( % 0.56/0.72 tptp_fun__i_val_27: $i)). % 0.56/0.72 tff(a210_type, type, ( % 0.56/0.72 a210: $i)). % 0.56/0.72 tff(tptp_fun__i_val_33_type, type, ( % 0.56/0.72 tptp_fun__i_val_33: $i)). % 0.56/0.72 tff(a156_type, type, ( % 0.56/0.72 a156: $i)). % 0.56/0.72 tff(a200_type, type, ( % 0.56/0.72 a200: $i)). % 0.56/0.72 tff(c4_0_type, type, ( % 0.56/0.72 c4_0: $o)). % 0.56/0.72 tff(tptp_fun__i_val_6_type, type, ( % 0.56/0.72 tptp_fun__i_val_6: $i)). % 0.56/0.72 tff(a189_type, type, ( % 0.56/0.72 a189: $i)). % 0.56/0.72 tff(tptp_fun__i_val_4_type, type, ( % 0.56/0.72 tptp_fun__i_val_4: $i)). % 0.56/0.72 tff(a177_type, type, ( % 0.56/0.72 a177: $i)). % 0.56/0.72 tff(tptp_fun__i_val_14_type, type, ( % 0.56/0.72 tptp_fun__i_val_14: $i)). % 0.56/0.72 tff(a234_type, type, ( % 0.56/0.72 a234: $i)). % 0.56/0.72 tff(tptp_fun__i_val_2_type, type, ( % 0.56/0.72 tptp_fun__i_val_2: $i)). % 0.56/0.72 tff(a172_type, type, ( % 0.56/0.72 a172: $i)). % 0.56/0.72 tff(tptp_fun__i_val_41_type, type, ( % 0.56/0.72 tptp_fun__i_val_41: $i)). % 0.56/0.72 tff(a228_type, type, ( % 0.56/0.72 a228: $i)). % 0.56/0.72 tff(c2_0_type, type, ( % 0.56/0.72 c2_0: $o)). % 0.56/0.72 tff(c6_0_type, type, ( % 0.56/0.72 c6_0: $o)). % 0.56/0.72 tff(tptp_fun__i_val_15_type, type, ( % 0.56/0.72 tptp_fun__i_val_15: $i)). % 0.56/0.72 tff(a235_type, type, ( % 0.56/0.72 a235: $i)). % 0.56/0.72 tff(tptp_fun__i_val_23_type, type, ( % 0.56/0.72 tptp_fun__i_val_23: $i)). % 0.56/0.72 tff(a263_type, type, ( % 0.56/0.72 a263: $i)). % 0.56/0.72 tff(tptp_fun__i_val_32_type, type, ( % 0.56/0.72 tptp_fun__i_val_32: $i)). % 0.56/0.72 tff(a155_type, type, ( % 0.56/0.72 a155: $i)). % 0.56/0.72 tff(tptp_fun__i_val_34_type, type, ( % 0.56/0.72 tptp_fun__i_val_34: $i)). % 0.56/0.72 tff(a209_type, type, ( % 0.56/0.72 a209: $i)). % 0.56/0.72 tff(tptp_fun__i_val_39_type, type, ( % 0.56/0.72 tptp_fun__i_val_39: $i)). % 0.56/0.72 tff(a148_type, type, ( % 0.56/0.72 a148: $i)). % 0.56/0.72 tff(tptp_fun__i_val_9_type, type, ( % 0.56/0.72 tptp_fun__i_val_9: $i)). % 0.56/0.72 tff(a191_type, type, ( % 0.56/0.72 a191: $i)). % 0.56/0.72 tff(tptp_fun__i_val_25_type, type, ( % 0.56/0.72 tptp_fun__i_val_25: $i)). % 0.56/0.72 tff(a203_type, type, ( % 0.56/0.72 a203: $i)). % 0.56/0.72 tff(tptp_fun__i_val_36_type, type, ( % 0.56/0.72 tptp_fun__i_val_36: $i)). % 0.56/0.72 tff(a161_type, type, ( % 0.56/0.72 a161: $i)). % 0.56/0.72 tff(ndr1_0_type, type, ( % 0.56/0.72 ndr1_0: $o)). % 0.56/0.72 tff(c3_0_type, type, ( % 0.56/0.72 c3_0: $o)). % 0.56/0.72 tff(tptp_fun__i_val_8_type, type, ( % 0.56/0.72 tptp_fun__i_val_8: $i)). % 0.56/0.72 tff(a192_type, type, ( % 0.56/0.72 a192: $i)). % 0.56/0.72 tff(tptp_fun__i_val_13_type, type, ( % 0.56/0.72 tptp_fun__i_val_13: $i)). % 0.56/0.72 tff(a233_type, type, ( % 0.56/0.72 a233: $i)). % 0.56/0.72 tff(tptp_fun__i_val_7_type, type, ( % 0.56/0.72 tptp_fun__i_val_7: $i)). % 0.56/0.72 tff(a190_type, type, ( % 0.56/0.72 a190: $i)). % 0.56/0.72 tff(tptp_fun__i_val_19_type, type, ( % 0.56/0.72 tptp_fun__i_val_19: $i)). % 0.56/0.72 tff(a258_type, type, ( % 0.56/0.72 a258: $i)). % 0.56/0.72 tff(tptp_fun__i_val_37_type, type, ( % 0.56/0.72 tptp_fun__i_val_37: $i)). % 0.56/0.72 tff(a250_type, type, ( % 0.56/0.72 a250: $i)). % 0.56/0.72 tff(tptp_fun__i_val_3_type, type, ( % 0.56/0.72 tptp_fun__i_val_3: $i)). % 0.56/0.72 tff(a174_type, type, ( % 0.56/0.72 a174: $i)). % 0.56/0.73 tff(tptp_fun__i_val_17_type, type, ( % 0.56/0.73 tptp_fun__i_val_17: $i)). % 0.56/0.73 tff(a241_type, type, ( % 0.56/0.73 a241: $i)). % 0.56/0.73 tff(tptp_fun__i_val_38_type, type, ( % 0.56/0.73 tptp_fun__i_val_38: $i)). % 0.56/0.73 tff(a158_type, type, ( % 0.56/0.73 a158: $i)). % 0.56/0.73 tff(tptp_fun__i_val_24_type, type, ( % 0.56/0.73 tptp_fun__i_val_24: $i)). % 0.56/0.73 tff(a186_type, type, ( % 0.56/0.73 a186: $i)). % 0.56/0.73 tff(tptp_fun__i_val_20_type, type, ( % 0.56/0.73 tptp_fun__i_val_20: $i)). % 0.56/0.73 tff(a259_type, type, ( % 0.56/0.73 a259: $i)). % 0.56/0.73 tff(tptp_fun__i_val_26_type, type, ( % 0.56/0.73 tptp_fun__i_val_26: $i)). % 0.56/0.73 tff(a244_type, type, ( % 0.56/0.73 a244: $i)). % 0.56/0.73 tff(c5_0_type, type, ( % 0.56/0.73 c5_0: $o)). % 0.56/0.73 tff(tptp_fun__i_val_31_type, type, ( % 0.56/0.73 tptp_fun__i_val_31: $i)). % 0.56/0.73 tff(a187_type, type, ( % 0.56/0.73 a187: $i)). % 0.56/0.73 tff(tptp_fun__i_val_29_type, type, ( % 0.56/0.73 tptp_fun__i_val_29: $i)). % 0.56/0.73 tff(a154_type, type, ( % 0.56/0.73 a154: $i)). % 0.56/0.73 tff(k!151_type, type, ( % 0.56/0.73 k!151: $i > $i)). % 0.56/0.73 tff(k!150_type, type, ( % 0.56/0.73 k!150: $i > $i)). % 0.56/0.73 tff(c7_2_type, type, ( % 0.56/0.73 c7_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(ndr1_1_type, type, ( % 0.56/0.73 ndr1_1: $i > $o)). % 0.56/0.73 tff(c10_1_type, type, ( % 0.56/0.73 c10_1: $i > $o)). % 0.56/0.73 tff(c5_1_type, type, ( % 0.56/0.73 c5_1: $i > $o)). % 0.56/0.73 tff(c3_1_type, type, ( % 0.56/0.73 c3_1: $i > $o)). % 0.56/0.73 tff(c2_1_type, type, ( % 0.56/0.73 c2_1: $i > $o)). % 0.56/0.73 tff(c10_2_type, type, ( % 0.56/0.73 c10_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(c1_2_type, type, ( % 0.56/0.73 c1_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(c4_1_type, type, ( % 0.56/0.73 c4_1: $i > $o)). % 0.56/0.73 tff(c9_1_type, type, ( % 0.56/0.73 c9_1: $i > $o)). % 0.56/0.73 tff(c1_1_type, type, ( % 0.56/0.73 c1_1: $i > $o)). % 0.56/0.73 tff(c3_2_type, type, ( % 0.56/0.73 c3_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(c4_2_type, type, ( % 0.56/0.73 c4_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(c7_1_type, type, ( % 0.56/0.73 c7_1: $i > $o)). % 0.56/0.73 tff(c5_2_type, type, ( % 0.56/0.73 c5_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(c8_2_type, type, ( % 0.56/0.73 c8_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(c9_2_type, type, ( % 0.56/0.73 c9_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(c8_1_type, type, ( % 0.56/0.73 c8_1: $i > $o)). % 0.56/0.73 tff(c6_1_type, type, ( % 0.56/0.73 c6_1: $i > $o)). % 0.56/0.73 tff(c6_2_type, type, ( % 0.56/0.73 c6_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(c2_2_type, type, ( % 0.56/0.73 c2_2: ( $i * $i ) > $o)). % 0.56/0.73 tff(formula1, axiom, % 0.56/0.73 a264 = $i!val!22). % 0.56/0.73 tff(formula2, axiom, % 0.56/0.73 a215 = $i!val!11). % 0.56/0.73 tff(formula3, axiom, % 0.56/0.73 c9_0 <=> $false). % 0.56/0.73 tff(formula4, axiom, % 0.56/0.73 a240 = $i!val!16). % 0.56/0.73 tff(formula5, axiom, % 0.56/0.73 c7_0 <=> $false). % 0.56/0.73 tff(formula6, axiom, % 0.56/0.73 c8_0 <=> $true). % 0.56/0.73 tff(formula7, axiom, % 0.56/0.73 a242 = $i!val!18). % 0.56/0.73 tff(formula8, axiom, % 0.56/0.73 a188 = $i!val!30). % 0.56/0.73 tff(formula9, axiom, % 0.56/0.73 c10_0 <=> $true). % 0.56/0.73 tff(formula10, axiom, % 0.56/0.73 c1_0 <=> $true). % 0.56/0.73 tff(formula11, axiom, % 0.56/0.73 a232 = $i!val!12). % 0.56/0.73 tff(formula12, axiom, % 0.56/0.73 a168 = $i!val!0). % 0.56/0.73 tff(formula13, axiom, % 0.56/0.73 a170 = $i!val!1). % 0.56/0.73 tff(formula14, axiom, % 0.56/0.73 a211 = $i!val!28). % 0.56/0.73 tff(formula15, axiom, % 0.56/0.73 a254 = $i!val!10). % 0.56/0.73 tff(formula16, axiom, % 0.56/0.73 a262 = $i!val!21). % 0.56/0.73 tff(formula17, axiom, % 0.56/0.73 a255 = $i!val!40). % 0.56/0.73 tff(formula18, axiom, % 0.56/0.73 a178 = $i!val!5). % 0.56/0.73 tff(formula19, axiom, % 0.56/0.73 a194 = $i!val!35). % 0.56/0.73 tff(formula20, axiom, % 0.56/0.73 a210 = $i!val!27). % 0.56/0.73 tff(formula21, axiom, % 0.56/0.73 a156 = $i!val!33). % 0.56/0.73 tff(formula22, axiom, % 0.56/0.73 a200 = $i!val!10). % 0.56/0.73 tff(formula23, axiom, % 0.56/0.73 c4_0 <=> $false). % 0.56/0.73 tff(formula24, axiom, % 0.56/0.73 a189 = $i!val!6). % 0.56/0.73 tff(formula25, axiom, % 0.56/0.73 a177 = $i!val!4). % 0.56/0.73 tff(formula26, axiom, % 0.56/0.73 a234 = $i!val!14). % 0.56/0.73 tff(formula27, axiom, % 0.56/0.73 a172 = $i!val!2). % 0.56/0.73 tff(formula28, axiom, % 0.56/0.73 a228 = $i!val!41). % 0.56/0.73 tff(formula29, axiom, % 0.56/0.73 c2_0 <=> $false). % 0.56/0.73 tff(formula30, axiom, % 0.56/0.73 c6_0 <=> $false). % 0.56/0.73 tff(formula31, axiom, % 0.56/0.73 a235 = $i!val!15). % 0.56/0.73 tff(formula32, axiom, % 0.56/0.73 a263 = $i!val!23). % 0.56/0.73 tff(formula33, axiom, % 0.56/0.73 a155 = $i!val!32). % 0.56/0.73 tff(formula34, axiom, % 0.56/0.73 a209 = $i!val!34). % 0.56/0.73 tff(formula35, axiom, % 0.56/0.73 a148 = $i!val!39). % 0.56/0.73 tff(formula36, axiom, % 0.56/0.73 a191 = $i!val!9). % 0.56/0.73 tff(formula37, axiom, % 0.56/0.73 a203 = $i!val!25). % 0.56/0.73 tff(formula38, axiom, % 0.56/0.73 a161 = $i!val!36). % 0.56/0.73 tff(formula39, axiom, % 0.56/0.73 ndr1_0 <=> $true). % 0.56/0.73 tff(formula40, axiom, % 0.56/0.73 c3_0 <=> $false). % 0.56/0.73 tff(formula41, axiom, % 0.56/0.73 a192 = $i!val!8). % 0.56/0.73 tff(formula42, axiom, % 0.56/0.73 a233 = $i!val!13). % 0.56/0.73 tff(formula43, axiom, % 0.56/0.73 a190 = $i!val!7). % 0.56/0.73 tff(formula44, axiom, % 0.56/0.73 a258 = $i!val!19). % 0.56/0.73 tff(formula45, axiom, % 0.56/0.73 a250 = $i!val!37). % 0.56/0.73 tff(formula46, axiom, % 0.56/0.73 a174 = $i!val!3). % 0.56/0.73 tff(formula47, axiom, % 0.56/0.73 a241 = $i!val!17). % 0.56/0.73 tff(formula48, axiom, % 0.56/0.73 a158 = $i!val!38). % 0.56/0.73 tff(formula49, axiom, % 0.56/0.73 a186 = $i!val!24). % 0.56/0.73 tff(formula50, axiom, % 0.56/0.73 a259 = $i!val!20). % 0.56/0.73 tff(formula51, axiom, % 0.56/0.73 a244 = $i!val!26). % 0.56/0.73 tff(formula52, axiom, % 0.56/0.73 c5_0 <=> $false). % 0.56/0.73 tff(formula53, axiom, % 0.56/0.73 a187 = $i!val!31). % 0.56/0.73 tff(formula54, axiom, % 0.56/0.73 a154 = $i!val!29). % 0.56/0.73 tff(formula55, axiom, % 0.56/0.73 k!151($i!val!41) = $i!val!41). % 0.56/0.73 tff(formula56, axiom, % 0.56/0.73 k!151($i!val!39) = $i!val!39). % 0.56/0.73 tff(formula57, axiom, % 0.56/0.73 k!151($i!val!23) = $i!val!23). % 0.56/0.73 tff(formula58, axiom, % 0.56/0.73 k!151($i!val!32) = $i!val!32). % 0.56/0.73 tff(formula59, axiom, % 0.56/0.73 k!151($i!val!34) = $i!val!34). % 0.56/0.73 tff(formula60, axiom, % 0.56/0.73 k!151($i!val!25) = $i!val!25). % 0.56/0.73 tff(formula61, axiom, % 0.56/0.73 k!151($i!val!9) = $i!val!9). % 0.56/0.73 tff(formula62, axiom, % 0.56/0.73 k!151($i!val!36) = $i!val!36). % 0.56/0.73 tff(formula63, axiom, % 0.56/0.73 k!151($i!val!18) = $i!val!18). % 0.56/0.73 tff(formula64, axiom, % 0.56/0.73 k!151($i!val!8) = $i!val!8). % 0.56/0.73 tff(formula65, axiom, % 0.56/0.73 k!151($i!val!13) = $i!val!13). % 0.56/0.73 tff(formula66, axiom, % 0.56/0.73 k!151($i!val!37) = $i!val!37). % 0.56/0.73 tff(formula67, axiom, % 0.56/0.73 k!151($i!val!30) = $i!val!30). % 0.56/0.73 tff(formula68, axiom, % 0.56/0.73 k!151($i!val!17) = $i!val!17). % 0.56/0.73 tff(formula69, axiom, % 0.56/0.73 k!151($i!val!38) = $i!val!38). % 0.56/0.73 tff(formula70, axiom, % 0.56/0.73 k!151($i!val!24) = $i!val!24). % 0.56/0.73 tff(formula71, axiom, % 0.56/0.73 k!151($i!val!28) = $i!val!28). % 0.56/0.73 tff(formula72, axiom, % 0.56/0.73 k!151($i!val!20) = $i!val!20). % 0.56/0.73 tff(formula73, axiom, % 0.56/0.73 k!151($i!val!40) = $i!val!40). % 0.56/0.73 tff(formula74, axiom, % 0.56/0.73 k!151($i!val!5) = $i!val!5). % 0.56/0.73 tff(formula75, axiom, % 0.56/0.73 k!151($i!val!35) = $i!val!35). % 0.56/0.73 tff(formula76, axiom, % 0.56/0.73 k!151($i!val!33) = $i!val!33). % 0.56/0.73 tff(formula77, axiom, % 0.56/0.73 k!151($i!val!27) = $i!val!27). % 0.56/0.73 tff(formula78, axiom, % 0.56/0.73 k!151($i!val!26) = $i!val!26). % 0.56/0.73 tff(formula79, axiom, % 0.56/0.73 k!151($i!val!31) = $i!val!31). % 0.56/0.73 tff(formula80, axiom, % 0.56/0.73 k!151($i!val!29) = $i!val!29). % 0.56/0.73 tff(formula81, axiom, % 0.56/0.73 ![X0: $i] : ((~((($i!val!41 = X0)) | (($i!val!39 = X0)) | (($i!val!23 = X0)) | (($i!val!32 = X0)) | (($i!val!34 = X0)) | (($i!val!25 = X0)) | (($i!val!9 = X0)) | (($i!val!36 = X0)) | (($i!val!18 = X0)) | (($i!val!8 = X0)) | (($i!val!13 = X0)) | (($i!val!37 = X0)) | (($i!val!30 = X0)) | (($i!val!17 = X0)) | (($i!val!38 = X0)) | (($i!val!24 = X0)) | (($i!val!28 = X0)) | (($i!val!20 = X0)) | (($i!val!40 = X0)) | (($i!val!5 = X0)) | (($i!val!35 = X0)) | (($i!val!33 = X0)) | (($i!val!27 = X0)) | (($i!val!26 = X0)) | (($i!val!31 = X0)) | (($i!val!29 = X0)))) => (k!151(X0) = $i!val!22))). % 0.56/0.73 tff(formula82, axiom, % 0.56/0.73 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> ((~((k!150(X1) = $i!val!6) & (k!151(X0) = $i!val!26))) & (~((k!150(X1) = $i!val!11) & (k!151(X0) = $i!val!31))) & (~((k!150(X1) = $i!val!6) & (k!151(X0) = $i!val!31))) & (~((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!18))) & (~((k!150(X1) = $i!val!12) & (k!151(X0) = $i!val!13))) & (~((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!5)))))). % 0.56/0.73 tff(formula83, axiom, % 0.56/0.73 ![X0: $i] : (ndr1_1(X0) <=> (~(k!150(X0) = $i!val!10)))). % 0.56/0.73 tff(formula84, axiom, % 0.56/0.73 ![X0: $i] : (c10_1(X0) <=> $false)). % 0.56/0.73 tff(formula85, axiom, % 0.56/0.73 ![X0: $i] : (c5_1(X0) <=> ((k!150(X0) = $i!val!21) | (k!150(X0) = $i!val!19)))). % 0.56/0.73 tff(formula86, axiom, % 0.56/0.73 ![X0: $i] : (c3_1(X0) <=> (~(k!150(X0) = $i!val!6)))). % 0.56/0.73 tff(formula87, axiom, % 0.56/0.73 ![X0: $i] : (c2_1(X0) <=> $true)). % 0.56/0.73 tff(formula88, axiom, % 0.56/0.73 ![X0: $i, X1: $i] : (c10_2(X0, X1) <=> (((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!33)) | ((k!150(X1) = $i!val!12) & (k!151(X0) = $i!val!34)) | ((k!150(X1) = $i!val!1) & (k!151(X0) = $i!val!32)) | ((k!150(X1) = $i!val!21) & (k!151(X0) = $i!val!25)) | ((k!150(X1) = $i!val!7) & (k!151(X0) = $i!val!32)) | ((k!150(X1) = $i!val!21) & (k!151(X0) = $i!val!23)) | ((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!32)) | ((k!150(X1) = $i!val!14) & (k!151(X0) = $i!val!25)) | ((k!150(X1) = $i!val!11) & (k!151(X0) = $i!val!25)) | ((k!150(X1) = $i!val!19) & (k!151(X0) = $i!val!34)) | ((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!25)) | ((k!150(X1) = $i!val!19) & (k!151(X0) = $i!val!32)) | ((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!34)) | ((k!150(X1) = $i!val!14) & (k!151(X0) = $i!val!34)) | ((k!150(X1) = $i!val!19) & (k!151(X0) = $i!val!25))))). % 0.56/0.73 tff(formula89, axiom, % 0.56/0.73 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!150(X1) = $i!val!14) & (k!151(X0) = $i!val!30)) | ((k!150(X1) = $i!val!7) & (k!151(X0) = $i!val!30))))). % 0.56/0.73 tff(formula90, axiom, % 0.56/0.73 ![X0: $i] : (c4_1(X0) <=> $false)). % 0.56/0.73 tff(formula91, axiom, % 0.56/0.73 ![X0: $i] : (c9_1(X0) <=> ((k!150(X0) = $i!val!14) | (k!150(X0) = $i!val!3)))). % 0.56/0.73 tff(formula92, axiom, % 0.56/0.73 ![X0: $i] : (c1_1(X0) <=> ((k!150(X0) = $i!val!6) | (k!150(X0) = $i!val!4) | (k!150(X0) = $i!val!0)))). % 0.56/0.73 tff(formula93, axiom, % 0.56/0.73 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!150(X1) = $i!val!19) & (k!151(X0) = $i!val!27)) | ((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!27)) | ((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!17)) | ((k!150(X1) = $i!val!7) & (k!151(X0) = $i!val!9)) | ((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!33)) | ((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!39)) | ((k!150(X1) = $i!val!7) & (k!151(X0) = $i!val!30)) | ((k!150(X1) = $i!val!11) & (k!151(X0) = $i!val!39)) | ((k!150(X1) = $i!val!19) & (k!151(X0) = $i!val!39)) | ((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!39)) | ((k!150(X1) = $i!val!14) & (k!151(X0) = $i!val!30))))). % 0.56/0.73 tff(formula94, axiom, % 0.56/0.73 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((k!150(X1) = $i!val!7) & (k!151(X0) = $i!val!8)))). % 0.56/0.73 tff(formula95, axiom, % 0.56/0.73 ![X0: $i] : (c7_1(X0) <=> $false)). % 0.56/0.73 tff(formula96, axiom, % 0.56/0.73 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((~((k!150(X1) = $i!val!14) & (k!151(X0) = $i!val!41))) & (~((k!150(X1) = $i!val!14) & (k!151(X0) = $i!val!30))) & (~((k!150(X1) = $i!val!11) & (k!151(X0) = $i!val!39))) & (~((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!24))) & (~((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!40))) & (~((k!150(X1) = $i!val!19) & (k!151(X0) = $i!val!39))) & (~((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!39))) & (~((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!39))) & (~((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!17)))))). % 0.56/0.73 tff(formula97, axiom, % 0.56/0.73 k!150($i!val!4) = $i!val!4). % 0.56/0.73 tff(formula98, axiom, % 0.56/0.73 k!150($i!val!11) = $i!val!11). % 0.56/0.73 tff(formula99, axiom, % 0.56/0.73 k!150($i!val!2) = $i!val!2). % 0.56/0.73 tff(formula100, axiom, % 0.56/0.73 k!150($i!val!12) = $i!val!12). % 0.56/0.73 tff(formula101, axiom, % 0.56/0.73 k!150($i!val!16) = $i!val!16). % 0.56/0.73 tff(formula102, axiom, % 0.56/0.73 k!150($i!val!0) = $i!val!0). % 0.56/0.73 tff(formula103, axiom, % 0.56/0.73 k!150($i!val!1) = $i!val!1). % 0.56/0.73 tff(formula104, axiom, % 0.56/0.73 k!150($i!val!15) = $i!val!15). % 0.56/0.73 tff(formula105, axiom, % 0.56/0.73 k!150($i!val!21) = $i!val!21). % 0.56/0.73 tff(formula106, axiom, % 0.56/0.73 k!150($i!val!10) = $i!val!10). % 0.56/0.73 tff(formula107, axiom, % 0.56/0.73 k!150($i!val!19) = $i!val!19). % 0.56/0.73 tff(formula108, axiom, % 0.56/0.73 k!150($i!val!7) = $i!val!7). % 0.56/0.73 tff(formula109, axiom, % 0.56/0.73 k!150($i!val!6) = $i!val!6). % 0.56/0.73 tff(formula110, axiom, % 0.56/0.73 k!150($i!val!3) = $i!val!3). % 0.56/0.73 tff(formula111, axiom, % 0.56/0.73 ![X0: $i] : ((~((($i!val!4 = X0)) | (($i!val!11 = X0)) | (($i!val!2 = X0)) | (($i!val!12 = X0)) | (($i!val!16 = X0)) | (($i!val!0 = X0)) | (($i!val!1 = X0)) | (($i!val!15 = X0)) | (($i!val!21 = X0)) | (($i!val!10 = X0)) | (($i!val!19 = X0)) | (($i!val!7 = X0)) | (($i!val!6 = X0)) | (($i!val!3 = X0)))) => (k!150(X0) = $i!val!14))). % 0.56/0.73 tff(formula112, axiom, % 0.56/0.73 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!150(X1) = $i!val!12) & (k!151(X0) = $i!val!13)) | ((k!150(X1) = $i!val!21) & (k!151(X0) = $i!val!23)) | ((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!18))))). % 0.56/0.73 tff(formula113, axiom, % 0.56/0.73 ![X0: $i, X1: $i] : (c9_2(X0, X1) <=> ((~((k!150(X1) = $i!val!11) & (k!151(X0) = $i!val!26))) & (~((k!150(X1) = $i!val!11) & (k!151(X0) = $i!val!25))) & (~((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!26))) & (~((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!26))) & (~((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!33))) & (~((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!37))) & (~((k!150(X1) = $i!val!7) & (k!151(X0) = $i!val!32))) & (~((k!150(X1) = $i!val!1) & (k!151(X0) = $i!val!32))) & (~((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!5)))))). % 0.56/0.73 tff(formula114, axiom, % 0.56/0.73 ![X0: $i] : (c8_1(X0) <=> ((~(k!150(X0) = $i!val!19)) & (~(k!150(X0) = $i!val!1))))). % 0.56/0.73 tff(formula115, axiom, % 0.56/0.73 ![X0: $i] : (c6_1(X0) <=> $true)). % 0.56/0.73 tff(formula116, axiom, % 0.56/0.73 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!150(X1) = $i!val!1) & (k!151(X0) = $i!val!29)) | ((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!37)) | ((k!150(X1) = $i!val!7) & (k!151(X0) = $i!val!29)) | ((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!33)) | ((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!29)) | ((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!37))))). % 0.56/0.74 tff(formula117, axiom, % 0.56/0.74 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!150(X1) = $i!val!16) & (k!151(X0) = $i!val!37)) | ((k!150(X1) = $i!val!4) & (k!151(X0) = $i!val!37))))). % 0.56/0.74 % SZS output end Model % 0.56/0.74 % E exiting %------------------------------------------------------------------------------