%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN434+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n005.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 05:39:05 AM UTC 2025 % Result : CounterSatisfiable 0.19s 0.52s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN434+1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n005.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 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Jun 20 12:34:20 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.52 % SZS status CounterSatisfiable % 0.19/0.52 % SZS output start Model % 0.19/0.52 tff(hskp14_type, type, ( % 0.19/0.52 hskp14: $o)). % 0.19/0.52 tff(hskp50_type, type, ( % 0.19/0.52 hskp50: $o)). % 0.19/0.52 tff(hskp9_type, type, ( % 0.19/0.52 hskp9: $o)). % 0.19/0.52 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.52 tptp_fun__i_val_5: $i)). % 0.19/0.52 tff(a240_type, type, ( % 0.19/0.52 a240: $i)). % 0.19/0.52 tff(tptp_fun__i_val_22_type, type, ( % 0.19/0.52 tptp_fun__i_val_22: $i)). % 0.19/0.52 tff(a247_type, type, ( % 0.19/0.52 a247: $i)). % 0.19/0.52 tff(hskp15_type, type, ( % 0.19/0.52 hskp15: $o)). % 0.19/0.52 tff(hskp46_type, type, ( % 0.19/0.52 hskp46: $o)). % 0.19/0.52 tff(hskp29_type, type, ( % 0.19/0.52 hskp29: $o)). % 0.19/0.52 tff(hskp1_type, type, ( % 0.19/0.52 hskp1: $o)). % 0.19/0.52 tff(hskp27_type, type, ( % 0.19/0.52 hskp27: $o)). % 0.19/0.52 tff(hskp48_type, type, ( % 0.19/0.52 hskp48: $o)). % 0.19/0.52 tff(hskp37_type, type, ( % 0.19/0.52 hskp37: $o)). % 0.19/0.52 tff(hskp38_type, type, ( % 0.19/0.52 hskp38: $o)). % 0.19/0.52 tff(tptp_fun__i_val_7_type, type, ( % 0.19/0.52 tptp_fun__i_val_7: $i)). % 0.19/0.52 tff(a246_type, type, ( % 0.19/0.52 a246: $i)). % 0.19/0.52 tff(hskp47_type, type, ( % 0.19/0.52 hskp47: $o)). % 0.19/0.52 tff(hskp10_type, type, ( % 0.19/0.52 hskp10: $o)). % 0.19/0.52 tff(tptp_fun__i_val_8_type, type, ( % 0.19/0.52 tptp_fun__i_val_8: $i)). % 0.19/0.52 tff(a249_type, type, ( % 0.19/0.52 a249: $i)). % 0.19/0.52 tff(hskp44_type, type, ( % 0.19/0.52 hskp44: $o)). % 0.19/0.52 tff(tptp_fun__i_val_17_type, type, ( % 0.19/0.52 tptp_fun__i_val_17: $i)). % 0.19/0.52 tff(a232_type, type, ( % 0.19/0.52 a232: $i)). % 0.19/0.52 tff(hskp31_type, type, ( % 0.19/0.52 hskp31: $o)). % 0.19/0.52 tff(hskp41_type, type, ( % 0.19/0.52 hskp41: $o)). % 0.19/0.52 tff(tptp_fun__i_val_25_type, type, ( % 0.19/0.52 tptp_fun__i_val_25: $i)). % 0.19/0.52 tff(a254_type, type, ( % 0.19/0.52 a254: $i)). % 0.19/0.52 tff(hskp30_type, type, ( % 0.19/0.52 hskp30: $o)). % 0.19/0.52 tff(hskp35_type, type, ( % 0.19/0.52 hskp35: $o)). % 0.19/0.52 tff(hskp45_type, type, ( % 0.19/0.52 hskp45: $o)). % 0.19/0.52 tff(tptp_fun__i_val_28_type, type, ( % 0.19/0.52 tptp_fun__i_val_28: $i)). % 0.19/0.52 tff(a262_type, type, ( % 0.19/0.52 a262: $i)). % 0.19/0.52 tff(tptp_fun__i_val_11_type, type, ( % 0.19/0.52 tptp_fun__i_val_11: $i)). % 0.19/0.52 tff(a268_type, type, ( % 0.19/0.52 a268: $i)). % 0.19/0.52 tff(tptp_fun__i_val_29_type, type, ( % 0.19/0.52 tptp_fun__i_val_29: $i)). % 0.19/0.52 tff(a265_type, type, ( % 0.19/0.52 a265: $i)). % 0.19/0.52 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.52 tptp_fun__i_val_4: $i)). % 0.19/0.52 tff(a239_type, type, ( % 0.19/0.52 a239: $i)). % 0.19/0.52 tff(hskp39_type, type, ( % 0.19/0.52 hskp39: $o)). % 0.19/0.52 tff(tptp_fun__i_val_15_type, type, ( % 0.19/0.52 tptp_fun__i_val_15: $i)). % 0.19/0.52 tff(a281_type, type, ( % 0.19/0.52 a281: $i)). % 0.19/0.52 tff(hskp21_type, type, ( % 0.19/0.52 hskp21: $o)). % 0.19/0.52 tff(hskp28_type, type, ( % 0.19/0.52 hskp28: $o)). % 0.19/0.52 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.52 tptp_fun__i_val_2: $i)). % 0.19/0.52 tff(a230_type, type, ( % 0.19/0.52 a230: $i)). % 0.19/0.52 tff(hskp23_type, type, ( % 0.19/0.52 hskp23: $o)). % 0.19/0.52 tff(tptp_fun__i_val_9_type, type, ( % 0.19/0.52 tptp_fun__i_val_9: $i)). % 0.19/0.52 tff(a253_type, type, ( % 0.19/0.52 a253: $i)). % 0.19/0.52 tff(tptp_fun__i_val_27_type, type, ( % 0.19/0.52 tptp_fun__i_val_27: $i)). % 0.19/0.52 tff(a257_type, type, ( % 0.19/0.52 a257: $i)). % 0.19/0.52 tff(hskp17_type, type, ( % 0.19/0.52 hskp17: $o)). % 0.19/0.52 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.52 tptp_fun__i_val_3: $i)). % 0.19/0.52 tff(a234_type, type, ( % 0.19/0.52 a234: $i)). % 0.19/0.52 tff(hskp32_type, type, ( % 0.19/0.52 hskp32: $o)). % 0.19/0.52 tff(hskp16_type, type, ( % 0.19/0.52 hskp16: $o)). % 0.19/0.52 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.52 tptp_fun__i_val_0: $i)). % 0.19/0.52 tff(a223_type, type, ( % 0.19/0.52 a223: $i)). % 0.19/0.52 tff(tptp_fun__i_val_16_type, type, ( % 0.19/0.52 tptp_fun__i_val_16: $i)). % 0.19/0.52 tff(a224_type, type, ( % 0.19/0.52 a224: $i)). % 0.19/0.52 tff(hskp2_type, type, ( % 0.19/0.52 hskp2: $o)). % 0.19/0.52 tff(tptp_fun__i_val_18_type, type, ( % 0.19/0.52 tptp_fun__i_val_18: $i)). % 0.19/0.52 tff(a235_type, type, ( % 0.19/0.52 a235: $i)). % 0.19/0.52 tff(hskp26_type, type, ( % 0.19/0.52 hskp26: $o)). % 0.19/0.52 tff(hskp49_type, type, ( % 0.19/0.52 hskp49: $o)). % 0.19/0.52 tff(tptp_fun__i_val_10_type, type, ( % 0.19/0.52 tptp_fun__i_val_10: $i)). % 0.19/0.52 tff(a263_type, type, ( % 0.19/0.52 a263: $i)). % 0.19/0.52 tff(tptp_fun__i_val_20_type, type, ( % 0.19/0.52 tptp_fun__i_val_20: $i)). % 0.19/0.52 tff(a237_type, type, ( % 0.19/0.52 a237: $i)). % 0.19/0.52 tff(tptp_fun__i_val_23_type, type, ( % 0.19/0.52 tptp_fun__i_val_23: $i)). % 0.19/0.52 tff(a248_type, type, ( % 0.19/0.52 a248: $i)). % 0.19/0.52 tff(tptp_fun__i_val_30_type, type, ( % 0.19/0.52 tptp_fun__i_val_30: $i)). % 0.19/0.52 tff(a276_type, type, ( % 0.19/0.52 a276: $i)). % 0.19/0.52 tff(hskp11_type, type, ( % 0.19/0.52 hskp11: $o)). % 0.19/0.52 tff(hskp12_type, type, ( % 0.19/0.52 hskp12: $o)). % 0.19/0.52 tff(hskp24_type, type, ( % 0.19/0.52 hskp24: $o)). % 0.19/0.52 tff(ndr1_0_type, type, ( % 0.19/0.52 ndr1_0: $o)). % 0.19/0.52 tff(hskp40_type, type, ( % 0.19/0.52 hskp40: $o)). % 0.19/0.52 tff(hskp13_type, type, ( % 0.19/0.52 hskp13: $o)). % 0.19/0.52 tff(hskp7_type, type, ( % 0.19/0.52 hskp7: $o)). % 0.19/0.52 tff(hskp3_type, type, ( % 0.19/0.52 hskp3: $o)). % 0.19/0.52 tff(hskp5_type, type, ( % 0.19/0.52 hskp5: $o)). % 0.19/0.52 tff(hskp6_type, type, ( % 0.19/0.52 hskp6: $o)). % 0.19/0.52 tff(tptp_fun__i_val_24_type, type, ( % 0.19/0.52 tptp_fun__i_val_24: $i)). % 0.19/0.52 tff(a251_type, type, ( % 0.19/0.52 a251: $i)). % 0.19/0.52 tff(hskp33_type, type, ( % 0.19/0.52 hskp33: $o)). % 0.19/0.52 tff(hskp51_type, type, ( % 0.19/0.52 hskp51: $o)). % 0.19/0.52 tff(tptp_fun__i_val_14_type, type, ( % 0.19/0.52 tptp_fun__i_val_14: $i)). % 0.19/0.52 tff(a278_type, type, ( % 0.19/0.52 a278: $i)). % 0.19/0.52 tff(tptp_fun__i_val_19_type, type, ( % 0.19/0.52 tptp_fun__i_val_19: $i)). % 0.19/0.52 tff(a236_type, type, ( % 0.19/0.52 a236: $i)). % 0.19/0.52 tff(hskp36_type, type, ( % 0.19/0.52 hskp36: $o)). % 0.19/0.52 tff(hskp19_type, type, ( % 0.19/0.52 hskp19: $o)). % 0.19/0.52 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.52 tptp_fun__i_val_1: $i)). % 0.19/0.52 tff(a227_type, type, ( % 0.19/0.52 a227: $i)). % 0.19/0.52 tff(hskp42_type, type, ( % 0.19/0.52 hskp42: $o)). % 0.19/0.52 tff(tptp_fun__i_val_12_type, type, ( % 0.19/0.52 tptp_fun__i_val_12: $i)). % 0.19/0.52 tff(a271_type, type, ( % 0.19/0.52 a271: $i)). % 0.19/0.52 tff(hskp20_type, type, ( % 0.19/0.52 hskp20: $o)). % 0.19/0.52 tff(hskp25_type, type, ( % 0.19/0.52 hskp25: $o)). % 0.19/0.52 tff(tptp_fun__i_val_13_type, type, ( % 0.19/0.52 tptp_fun__i_val_13: $i)). % 0.19/0.52 tff(a277_type, type, ( % 0.19/0.52 a277: $i)). % 0.19/0.52 tff(hskp18_type, type, ( % 0.19/0.52 hskp18: $o)). % 0.19/0.52 tff(hskp43_type, type, ( % 0.19/0.52 hskp43: $o)). % 0.19/0.52 tff(tptp_fun__i_val_21_type, type, ( % 0.19/0.52 tptp_fun__i_val_21: $i)). % 0.19/0.52 tff(a244_type, type, ( % 0.19/0.52 a244: $i)). % 0.19/0.52 tff(tptp_fun__i_val_26_type, type, ( % 0.19/0.52 tptp_fun__i_val_26: $i)). % 0.19/0.52 tff(a256_type, type, ( % 0.19/0.52 a256: $i)). % 0.19/0.52 tff(hskp52_type, type, ( % 0.19/0.52 hskp52: $o)). % 0.19/0.52 tff(hskp22_type, type, ( % 0.19/0.52 hskp22: $o)). % 0.19/0.52 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.52 tptp_fun__i_val_6: $i)). % 0.19/0.52 tff(a243_type, type, ( % 0.19/0.52 a243: $i)). % 0.19/0.52 tff(hskp8_type, type, ( % 0.19/0.52 hskp8: $o)). % 0.19/0.52 tff(hskp4_type, type, ( % 0.19/0.52 hskp4: $o)). % 0.19/0.52 tff(k!16_type, type, ( % 0.19/0.52 k!16: $i > $i)). % 0.19/0.52 tff(c1_1_type, type, ( % 0.19/0.52 c1_1: $i > $o)). % 0.19/0.52 tff(c2_1_type, type, ( % 0.19/0.52 c2_1: $i > $o)). % 0.19/0.52 tff(c3_1_type, type, ( % 0.19/0.52 c3_1: $i > $o)). % 0.19/0.52 tff(c0_1_type, type, ( % 0.19/0.52 c0_1: $i > $o)). % 0.19/0.52 tff(formula1, axiom, % 0.19/0.52 hskp14 <=> $true). % 0.19/0.52 tff(formula2, axiom, % 0.19/0.52 hskp50 <=> $false). % 0.19/0.52 tff(formula3, axiom, % 0.19/0.52 hskp9 <=> $true). % 0.19/0.52 tff(formula4, axiom, % 0.19/0.52 a240 = $i!val!5). % 0.19/0.52 tff(formula5, axiom, % 0.19/0.52 a247 = $i!val!22). % 0.19/0.52 tff(formula6, axiom, % 0.19/0.52 hskp15 <=> $false). % 0.19/0.52 tff(formula7, axiom, % 0.19/0.52 hskp46 <=> $false). % 0.19/0.52 tff(formula8, axiom, % 0.19/0.52 hskp29 <=> $true). % 0.19/0.52 tff(formula9, axiom, % 0.19/0.52 hskp1 <=> $false). % 0.19/0.52 tff(formula10, axiom, % 0.19/0.52 hskp27 <=> $false). % 0.19/0.52 tff(formula11, axiom, % 0.19/0.52 hskp48 <=> $false). % 0.19/0.52 tff(formula12, axiom, % 0.19/0.52 hskp37 <=> $true). % 0.19/0.52 tff(formula13, axiom, % 0.19/0.52 hskp38 <=> $true). % 0.19/0.52 tff(formula14, axiom, % 0.19/0.52 a246 = $i!val!7). % 0.19/0.52 tff(formula15, axiom, % 0.19/0.52 hskp47 <=> $false). % 0.19/0.52 tff(formula16, axiom, % 0.19/0.52 hskp10 <=> $true). % 0.19/0.52 tff(formula17, axiom, % 0.19/0.52 a249 = $i!val!8). % 0.19/0.52 tff(formula18, axiom, % 0.19/0.52 hskp44 <=> $true). % 0.19/0.52 tff(formula19, axiom, % 0.19/0.52 a232 = $i!val!17). % 0.19/0.52 tff(formula20, axiom, % 0.19/0.52 hskp31 <=> $true). % 0.19/0.52 tff(formula21, axiom, % 0.19/0.52 hskp41 <=> $false). % 0.19/0.52 tff(formula22, axiom, % 0.19/0.52 a254 = $i!val!25). % 0.19/0.52 tff(formula23, axiom, % 0.19/0.52 hskp30 <=> $true). % 0.19/0.52 tff(formula24, axiom, % 0.19/0.52 hskp35 <=> $true). % 0.19/0.52 tff(formula25, axiom, % 0.19/0.52 hskp45 <=> $true). % 0.19/0.52 tff(formula26, axiom, % 0.19/0.52 a262 = $i!val!28). % 0.19/0.52 tff(formula27, axiom, % 0.19/0.52 a268 = $i!val!11). % 0.19/0.52 tff(formula28, axiom, % 0.19/0.52 a265 = $i!val!29). % 0.19/0.52 tff(formula29, axiom, % 0.19/0.52 a239 = $i!val!4). % 0.19/0.52 tff(formula30, axiom, % 0.19/0.52 hskp39 <=> $false). % 0.19/0.52 tff(formula31, axiom, % 0.19/0.52 a281 = $i!val!15). % 0.19/0.52 tff(formula32, axiom, % 0.19/0.52 hskp21 <=> $true). % 0.19/0.52 tff(formula33, axiom, % 0.19/0.52 hskp28 <=> $true). % 0.19/0.52 tff(formula34, axiom, % 0.19/0.52 a230 = $i!val!2). % 0.19/0.52 tff(formula35, axiom, % 0.19/0.52 hskp23 <=> $false). % 0.19/0.52 tff(formula36, axiom, % 0.19/0.52 a253 = $i!val!9). % 0.19/0.52 tff(formula37, axiom, % 0.19/0.52 a257 = $i!val!27). % 0.19/0.52 tff(formula38, axiom, % 0.19/0.52 hskp17 <=> $false). % 0.19/0.52 tff(formula39, axiom, % 0.19/0.52 a234 = $i!val!3). % 0.19/0.52 tff(formula40, axiom, % 0.19/0.52 hskp32 <=> $false). % 0.19/0.52 tff(formula41, axiom, % 0.19/0.52 hskp16 <=> $true). % 0.19/0.52 tff(formula42, axiom, % 0.19/0.52 a223 = $i!val!0). % 0.19/0.52 tff(formula43, axiom, % 0.19/0.52 a224 = $i!val!16). % 0.19/0.52 tff(formula44, axiom, % 0.19/0.52 hskp2 <=> $true). % 0.19/0.52 tff(formula45, axiom, % 0.19/0.52 a235 = $i!val!18). % 0.19/0.52 tff(formula46, axiom, % 0.19/0.52 hskp26 <=> $false). % 0.19/0.52 tff(formula47, axiom, % 0.19/0.52 hskp49 <=> $false). % 0.19/0.52 tff(formula48, axiom, % 0.19/0.52 a263 = $i!val!10). % 0.19/0.52 tff(formula49, axiom, % 0.19/0.52 a237 = $i!val!20). % 0.19/0.52 tff(formula50, axiom, % 0.19/0.52 a248 = $i!val!23). % 0.19/0.52 tff(formula51, axiom, % 0.19/0.52 a276 = $i!val!30). % 0.19/0.52 tff(formula52, axiom, % 0.19/0.52 hskp11 <=> $true). % 0.19/0.52 tff(formula53, axiom, % 0.19/0.52 hskp12 <=> $false). % 0.19/0.52 tff(formula54, axiom, % 0.19/0.52 hskp24 <=> $true). % 0.19/0.52 tff(formula55, axiom, % 0.19/0.52 ndr1_0 <=> $true). % 0.19/0.52 tff(formula56, axiom, % 0.19/0.52 hskp40 <=> $true). % 0.19/0.52 tff(formula57, axiom, % 0.19/0.52 hskp13 <=> $true). % 0.19/0.52 tff(formula58, axiom, % 0.19/0.52 hskp7 <=> $true). % 0.19/0.52 tff(formula59, axiom, % 0.19/0.52 hskp3 <=> $false). % 0.19/0.52 tff(formula60, axiom, % 0.19/0.52 hskp5 <=> $true). % 0.19/0.52 tff(formula61, axiom, % 0.19/0.52 hskp6 <=> $false). % 0.19/0.52 tff(formula62, axiom, % 0.19/0.52 a251 = $i!val!24). % 0.19/0.52 tff(formula63, axiom, % 0.19/0.52 hskp33 <=> $true). % 0.19/0.52 tff(formula64, axiom, % 0.19/0.52 hskp51 <=> $true). % 0.19/0.52 tff(formula65, axiom, % 0.19/0.52 a278 = $i!val!14). % 0.19/0.52 tff(formula66, axiom, % 0.19/0.52 a236 = $i!val!19). % 0.19/0.52 tff(formula67, axiom, % 0.19/0.52 hskp36 <=> $false). % 0.19/0.52 tff(formula68, axiom, % 0.19/0.52 hskp19 <=> $false). % 0.19/0.52 tff(formula69, axiom, % 0.19/0.52 a227 = $i!val!1). % 0.19/0.52 tff(formula70, axiom, % 0.19/0.52 hskp42 <=> $false). % 0.19/0.52 tff(formula71, axiom, % 0.19/0.52 a271 = $i!val!12). % 0.19/0.52 tff(formula72, axiom, % 0.19/0.52 hskp20 <=> $true). % 0.19/0.52 tff(formula73, axiom, % 0.19/0.52 hskp25 <=> $true). % 0.19/0.52 tff(formula74, axiom, % 0.19/0.52 a277 = $i!val!13). % 0.19/0.52 tff(formula75, axiom, % 0.19/0.52 hskp18 <=> $true). % 0.19/0.52 tff(formula76, axiom, % 0.19/0.52 hskp43 <=> $false). % 0.19/0.52 tff(formula77, axiom, % 0.19/0.52 a244 = $i!val!21). % 0.19/0.52 tff(formula78, axiom, % 0.19/0.52 a256 = $i!val!26). % 0.19/0.52 tff(formula79, axiom, % 0.19/0.52 hskp52 <=> $false). % 0.19/0.52 tff(formula80, axiom, % 0.19/0.52 hskp22 <=> $true). % 0.19/0.52 tff(formula81, axiom, % 0.19/0.52 a243 = $i!val!6). % 0.19/0.52 tff(formula82, axiom, % 0.19/0.52 hskp8 <=> $false). % 0.19/0.52 tff(formula83, axiom, % 0.19/0.52 hskp4 <=> $false). % 0.19/0.52 tff(formula84, axiom, % 0.19/0.52 ![X0: $i] : (c1_1(X0) <=> ((k!16(X0) = $i!val!29) | (k!16(X0) = $i!val!20) | (k!16(X0) = $i!val!1) | (k!16(X0) = $i!val!6) | (k!16(X0) = $i!val!5) | (k!16(X0) = $i!val!2) | (k!16(X0) = $i!val!13) | (k!16(X0) = $i!val!10) | (k!16(X0) = $i!val!7) | (k!16(X0) = $i!val!25) | (k!16(X0) = $i!val!22) | (k!16(X0) = $i!val!19)))). % 0.19/0.52 tff(formula85, axiom, % 0.19/0.52 ![X0: $i] : (c2_1(X0) <=> ((k!16(X0) = $i!val!27) | (k!16(X0) = $i!val!20) | (k!16(X0) = $i!val!17) | (k!16(X0) = $i!val!1) | (k!16(X0) = $i!val!8) | (k!16(X0) = $i!val!2) | (k!16(X0) = $i!val!10) | (k!16(X0) = $i!val!25)))). % 0.19/0.52 tff(formula86, axiom, % 0.19/0.52 ![X0: $i] : (c3_1(X0) <=> ((k!16(X0) = $i!val!12) | (k!16(X0) = $i!val!20) | (k!16(X0) = $i!val!30) | (k!16(X0) = $i!val!9) | (k!16(X0) = $i!val!28) | (k!16(X0) = $i!val!24) | (k!16(X0) = $i!val!14) | (k!16(X0) = $i!val!2) | (k!16(X0) = $i!val!25) | (k!16(X0) = $i!val!22)))). % 0.19/0.52 tff(formula87, axiom, % 0.19/0.52 k!16($i!val!22) = $i!val!22). % 0.19/0.52 tff(formula88, axiom, % 0.19/0.52 k!16($i!val!16) = $i!val!16). % 0.19/0.52 tff(formula89, axiom, % 0.19/0.52 k!16($i!val!5) = $i!val!5). % 0.19/0.52 tff(formula90, axiom, % 0.19/0.52 k!16($i!val!18) = $i!val!18). % 0.19/0.52 tff(formula91, axiom, % 0.19/0.52 k!16($i!val!10) = $i!val!10). % 0.19/0.52 tff(formula92, axiom, % 0.19/0.52 k!16($i!val!30) = $i!val!30). % 0.19/0.52 tff(formula93, axiom, % 0.19/0.52 k!16($i!val!20) = $i!val!20). % 0.19/0.52 tff(formula94, axiom, % 0.19/0.52 k!16($i!val!23) = $i!val!23). % 0.19/0.52 tff(formula95, axiom, % 0.19/0.52 k!16($i!val!7) = $i!val!7). % 0.19/0.52 tff(formula96, axiom, % 0.19/0.52 k!16($i!val!24) = $i!val!24). % 0.19/0.52 tff(formula97, axiom, % 0.19/0.52 k!16($i!val!8) = $i!val!8). % 0.19/0.52 tff(formula98, axiom, % 0.19/0.52 k!16($i!val!14) = $i!val!14). % 0.19/0.52 tff(formula99, axiom, % 0.19/0.52 k!16($i!val!17) = $i!val!17). % 0.19/0.52 tff(formula100, axiom, % 0.19/0.52 k!16($i!val!19) = $i!val!19). % 0.19/0.52 tff(formula101, axiom, % 0.19/0.52 k!16($i!val!25) = $i!val!25). % 0.19/0.52 tff(formula102, axiom, % 0.19/0.52 k!16($i!val!1) = $i!val!1). % 0.19/0.52 tff(formula103, axiom, % 0.19/0.52 k!16($i!val!12) = $i!val!12). % 0.19/0.52 tff(formula104, axiom, % 0.19/0.52 k!16($i!val!28) = $i!val!28). % 0.19/0.52 tff(formula105, axiom, % 0.19/0.52 k!16($i!val!11) = $i!val!11). % 0.19/0.52 tff(formula106, axiom, % 0.19/0.52 k!16($i!val!13) = $i!val!13). % 0.19/0.52 tff(formula107, axiom, % 0.19/0.52 k!16($i!val!29) = $i!val!29). % 0.19/0.52 tff(formula108, axiom, % 0.19/0.52 k!16($i!val!4) = $i!val!4). % 0.19/0.52 tff(formula109, axiom, % 0.19/0.52 k!16($i!val!21) = $i!val!21). % 0.19/0.52 tff(formula110, axiom, % 0.19/0.52 k!16($i!val!26) = $i!val!26). % 0.19/0.52 tff(formula111, axiom, % 0.19/0.52 k!16($i!val!15) = $i!val!15). % 0.19/0.52 tff(formula112, axiom, % 0.19/0.52 k!16($i!val!6) = $i!val!6). % 0.19/0.52 tff(formula113, axiom, % 0.19/0.52 k!16($i!val!2) = $i!val!2). % 0.19/0.52 tff(formula114, axiom, % 0.19/0.52 k!16($i!val!9) = $i!val!9). % 0.19/0.52 tff(formula115, axiom, % 0.19/0.52 k!16($i!val!27) = $i!val!27). % 0.19/0.52 tff(formula116, axiom, % 0.19/0.52 k!16($i!val!0) = $i!val!0). % 0.19/0.52 tff(formula117, axiom, % 0.19/0.52 ![X0: $i] : ((~((($i!val!22 = X0)) | (($i!val!16 = X0)) | (($i!val!5 = X0)) | (($i!val!18 = X0)) | (($i!val!10 = X0)) | (($i!val!30 = X0)) | (($i!val!20 = X0)) | (($i!val!23 = X0)) | (($i!val!7 = X0)) | (($i!val!24 = X0)) | (($i!val!8 = X0)) | (($i!val!14 = X0)) | (($i!val!17 = X0)) | (($i!val!19 = X0)) | (($i!val!25 = X0)) | (($i!val!1 = X0)) | (($i!val!12 = X0)) | (($i!val!28 = X0)) | (($i!val!11 = X0)) | (($i!val!13 = X0)) | (($i!val!29 = X0)) | (($i!val!4 = X0)) | (($i!val!21 = X0)) | (($i!val!26 = X0)) | (($i!val!15 = X0)) | (($i!val!6 = X0)) | (($i!val!2 = X0)) | (($i!val!9 = X0)) | (($i!val!27 = X0)) | (($i!val!0 = X0)))) => (k!16(X0) = $i!val!3))). % 0.19/0.53 tff(formula118, axiom, % 0.19/0.53 ![X0: $i] : (c0_1(X0) <=> ((~(k!16(X0) = $i!val!9)) & (~(k!16(X0) = $i!val!30)) & (~(k!16(X0) = $i!val!10)) & (~(k!16(X0) = $i!val!28)) & (~(k!16(X0) = $i!val!25)) & (~(k!16(X0) = $i!val!24)) & (~(k!16(X0) = $i!val!20)) & (~(k!16(X0) = $i!val!14)) & (~(k!16(X0) = $i!val!12)) & (~(k!16(X0) = $i!val!2)) & (~(k!16(X0) = $i!val!1))))). % 0.19/0.53 % SZS output end Model % 0.36/0.53 % E exiting %------------------------------------------------------------------------------