%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN543-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n004.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 : Satisfiable 5.86s 6.06s % Output : Model 5.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYN543-1 : TPTP v9.0.0. Released v2.1.0. % 0.12/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n004.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 12:37:38 EDT 2025 % 0.12/0.33 % CPUTime : % 5.86/6.06 % SZS status Satisfiable % 5.86/6.06 % SZS output start Model % 5.86/6.06 tff(hskp63_type, type, ( % 5.86/6.06 hskp63: $o)). % 5.86/6.06 tff(hskp50_type, type, ( % 5.86/6.06 hskp50: $o)). % 5.86/6.06 tff(hskp14_type, type, ( % 5.86/6.06 hskp14: $o)). % 5.86/6.06 tff(hskp9_type, type, ( % 5.86/6.06 hskp9: $o)). % 5.86/6.06 tff(hskp15_type, type, ( % 5.86/6.06 hskp15: $o)). % 5.86/6.06 tff(hskp46_type, type, ( % 5.86/6.06 hskp46: $o)). % 5.86/6.06 tff(tptp_fun__i_val_9_type, type, ( % 5.86/6.06 tptp_fun__i_val_9: $i)). % 5.86/6.06 tff(a106_type, type, ( % 5.86/6.06 a106: $i)). % 5.86/6.06 tff(hskp57_type, type, ( % 5.86/6.06 hskp57: $o)). % 5.86/6.06 tff(hskp29_type, type, ( % 5.86/6.06 hskp29: $o)). % 5.86/6.06 tff(hskp1_type, type, ( % 5.86/6.06 hskp1: $o)). % 5.86/6.06 tff(hskp27_type, type, ( % 5.86/6.06 hskp27: $o)). % 5.86/6.06 tff(hskp48_type, type, ( % 5.86/6.06 hskp48: $o)). % 5.86/6.06 tff(hskp38_type, type, ( % 5.86/6.06 hskp38: $o)). % 5.86/6.06 tff(hskp37_type, type, ( % 5.86/6.06 hskp37: $o)). % 5.86/6.06 tff(hskp47_type, type, ( % 5.86/6.06 hskp47: $o)). % 5.86/6.06 tff(hskp10_type, type, ( % 5.86/6.06 hskp10: $o)). % 5.86/6.06 tff(tptp_fun__i_val_4_type, type, ( % 5.86/6.06 tptp_fun__i_val_4: $i)). % 5.86/6.06 tff(a147_type, type, ( % 5.86/6.06 a147: $i)). % 5.86/6.06 tff(hskp44_type, type, ( % 5.86/6.06 hskp44: $o)). % 5.86/6.06 tff(hskp41_type, type, ( % 5.86/6.06 hskp41: $o)). % 5.86/6.06 tff(hskp31_type, type, ( % 5.86/6.06 hskp31: $o)). % 5.86/6.06 tff(hskp30_type, type, ( % 5.86/6.06 hskp30: $o)). % 5.86/6.06 tff(hskp35_type, type, ( % 5.86/6.06 hskp35: $o)). % 5.86/6.06 tff(hskp45_type, type, ( % 5.86/6.06 hskp45: $o)). % 5.86/6.06 tff(tptp_fun__i_val_11_type, type, ( % 5.86/6.06 tptp_fun__i_val_11: $i)). % 5.86/6.06 tff(a90_type, type, ( % 5.86/6.06 a90: $i)). % 5.86/6.06 tff(tptp_fun__i_val_3_type, type, ( % 5.86/6.06 tptp_fun__i_val_3: $i)). % 5.86/6.06 tff(a149_type, type, ( % 5.86/6.06 a149: $i)). % 5.86/6.06 tff(tptp_fun__i_val_1_type, type, ( % 5.86/6.06 tptp_fun__i_val_1: $i)). % 5.86/6.06 tff(a156_type, type, ( % 5.86/6.06 a156: $i)). % 5.86/6.06 tff(hskp39_type, type, ( % 5.86/6.06 hskp39: $o)). % 5.86/6.06 tff(hskp21_type, type, ( % 5.86/6.06 hskp21: $o)). % 5.86/6.06 tff(hskp28_type, type, ( % 5.86/6.06 hskp28: $o)). % 5.86/6.06 tff(hskp23_type, type, ( % 5.86/6.06 hskp23: $o)). % 5.86/6.06 tff(tptp_fun__i_val_15_type, type, ( % 5.86/6.06 tptp_fun__i_val_15: $i)). % 5.86/6.06 tff(a135_type, type, ( % 5.86/6.06 a135: $i)). % 5.86/6.06 tff(hskp17_type, type, ( % 5.86/6.06 hskp17: $o)). % 5.86/6.06 tff(tptp_fun__i_val_12_type, type, ( % 5.86/6.06 tptp_fun__i_val_12: $i)). % 5.86/6.06 tff(a86_type, type, ( % 5.86/6.06 a86: $i)). % 5.86/6.06 tff(hskp16_type, type, ( % 5.86/6.06 hskp16: $o)). % 5.86/6.06 tff(hskp32_type, type, ( % 5.86/6.06 hskp32: $o)). % 5.86/6.06 tff(hskp60_type, type, ( % 5.86/6.06 hskp60: $o)). % 5.86/6.06 tff(hskp0_type, type, ( % 5.86/6.06 hskp0: $o)). % 5.86/6.06 tff(hskp56_type, type, ( % 5.86/6.06 hskp56: $o)). % 5.86/6.06 tff(hskp54_type, type, ( % 5.86/6.06 hskp54: $o)). % 5.86/6.06 tff(hskp64_type, type, ( % 5.86/6.06 hskp64: $o)). % 5.86/6.06 tff(hskp49_type, type, ( % 5.86/6.06 hskp49: $o)). % 5.86/6.06 tff(hskp26_type, type, ( % 5.86/6.06 hskp26: $o)). % 5.86/6.06 tff(hskp2_type, type, ( % 5.86/6.06 hskp2: $o)). % 5.86/6.06 tff(tptp_fun__i_val_17_type, type, ( % 5.86/6.06 tptp_fun__i_val_17: $i)). % 5.86/6.06 tff(a91_type, type, ( % 5.86/6.06 a91: $i)). % 5.86/6.06 tff(hskp34_type, type, ( % 5.86/6.06 hskp34: $o)). % 5.86/6.06 tff(hskp12_type, type, ( % 5.86/6.06 hskp12: $o)). % 5.86/6.06 tff(hskp24_type, type, ( % 5.86/6.06 hskp24: $o)). % 5.86/6.06 tff(hskp11_type, type, ( % 5.86/6.06 hskp11: $o)). % 5.86/6.06 tff(ndr1_0_type, type, ( % 5.86/6.06 ndr1_0: $o)). % 5.86/6.06 tff(hskp40_type, type, ( % 5.86/6.06 hskp40: $o)). % 5.86/6.06 tff(hskp13_type, type, ( % 5.86/6.06 hskp13: $o)). % 5.86/6.06 tff(hskp7_type, type, ( % 5.86/6.06 hskp7: $o)). % 5.86/6.06 tff(hskp3_type, type, ( % 5.86/6.06 hskp3: $o)). % 5.86/6.06 tff(hskp5_type, type, ( % 5.86/6.06 hskp5: $o)). % 5.86/6.06 tff(tptp_fun__i_val_6_type, type, ( % 5.86/6.06 tptp_fun__i_val_6: $i)). % 5.86/6.06 tff(a138_type, type, ( % 5.86/6.06 a138: $i)). % 5.86/6.06 tff(hskp59_type, type, ( % 5.86/6.06 hskp59: $o)). % 5.86/6.06 tff(hskp6_type, type, ( % 5.86/6.06 hskp6: $o)). % 5.86/6.06 tff(tptp_fun__i_val_5_type, type, ( % 5.86/6.06 tptp_fun__i_val_5: $i)). % 5.86/6.06 tff(a142_type, type, ( % 5.86/6.06 a142: $i)). % 5.86/6.06 tff(hskp58_type, type, ( % 5.86/6.06 hskp58: $o)). % 5.86/6.06 tff(tptp_fun__i_val_10_type, type, ( % 5.86/6.06 tptp_fun__i_val_10: $i)). % 5.86/6.06 tff(a100_type, type, ( % 5.86/6.06 a100: $i)). % 5.86/6.06 tff(hskp53_type, type, ( % 5.86/6.06 hskp53: $o)). % 5.86/6.06 tff(hskp62_type, type, ( % 5.86/6.06 hskp62: $o)). % 5.86/6.06 tff(hskp51_type, type, ( % 5.86/6.06 hskp51: $o)). % 5.86/6.06 tff(hskp33_type, type, ( % 5.86/6.06 hskp33: $o)). % 5.86/6.06 tff(tptp_fun__i_val_0_type, type, ( % 5.86/6.06 tptp_fun__i_val_0: $i)). % 5.86/6.06 tff(a153_type, type, ( % 5.86/6.06 a153: $i)). % 5.86/6.06 tff(tptp_fun__i_val_14_type, type, ( % 5.86/6.06 tptp_fun__i_val_14: $i)). % 5.86/6.06 tff(a141_type, type, ( % 5.86/6.06 a141: $i)). % 5.86/6.06 tff(hskp36_type, type, ( % 5.86/6.06 hskp36: $o)). % 5.86/6.06 tff(hskp19_type, type, ( % 5.86/6.06 hskp19: $o)). % 5.86/6.06 tff(tptp_fun__i_val_7_type, type, ( % 5.86/6.06 tptp_fun__i_val_7: $i)). % 5.86/6.06 tff(a128_type, type, ( % 5.86/6.06 a128: $i)). % 5.86/6.06 tff(hskp42_type, type, ( % 5.86/6.06 hskp42: $o)). % 5.86/6.06 tff(tptp_fun__i_val_8_type, type, ( % 5.86/6.06 tptp_fun__i_val_8: $i)). % 5.86/6.06 tff(a127_type, type, ( % 5.86/6.06 a127: $i)). % 5.86/6.06 tff(hskp55_type, type, ( % 5.86/6.06 hskp55: $o)). % 5.86/6.06 tff(hskp25_type, type, ( % 5.86/6.06 hskp25: $o)). % 5.86/6.06 tff(hskp20_type, type, ( % 5.86/6.06 hskp20: $o)). % 5.86/6.06 tff(hskp18_type, type, ( % 5.86/6.06 hskp18: $o)). % 5.86/6.06 tff(hskp43_type, type, ( % 5.86/6.06 hskp43: $o)). % 5.86/6.06 tff(tptp_fun__i_val_13_type, type, ( % 5.86/6.06 tptp_fun__i_val_13: $i)). % 5.86/6.06 tff(a84_type, type, ( % 5.86/6.06 a84: $i)). % 5.86/6.06 tff(hskp61_type, type, ( % 5.86/6.06 hskp61: $o)). % 5.86/6.06 tff(hskp52_type, type, ( % 5.86/6.06 hskp52: $o)). % 5.86/6.06 tff(hskp22_type, type, ( % 5.86/6.06 hskp22: $o)). % 5.86/6.06 tff(tptp_fun__i_val_16_type, type, ( % 5.86/6.06 tptp_fun__i_val_16: $i)). % 5.86/6.06 tff(a116_type, type, ( % 5.86/6.06 a116: $i)). % 5.86/6.06 tff(tptp_fun__i_val_2_type, type, ( % 5.86/6.06 tptp_fun__i_val_2: $i)). % 5.86/6.06 tff(a154_type, type, ( % 5.86/6.06 a154: $i)). % 5.86/6.06 tff(tptp_fun__i_val_18_type, type, ( % 5.86/6.06 tptp_fun__i_val_18: $i)). % 5.86/6.06 tff(a81_type, type, ( % 5.86/6.06 a81: $i)). % 5.86/6.06 tff(hskp8_type, type, ( % 5.86/6.06 hskp8: $o)). % 5.86/6.06 tff(hskp4_type, type, ( % 5.86/6.06 hskp4: $o)). % 5.86/6.06 tff(k!107_type, type, ( % 5.86/6.06 k!107: $i > $i)). % 5.86/6.06 tff(c0_1_type, type, ( % 5.86/6.06 c0_1: $i > $o)). % 5.86/6.06 tff(c3_1_type, type, ( % 5.86/6.06 c3_1: $i > $o)). % 5.86/6.06 tff(c2_1_type, type, ( % 5.86/6.06 c2_1: $i > $o)). % 5.86/6.06 tff(c1_1_type, type, ( % 5.86/6.06 c1_1: $i > $o)). % 5.86/6.06 tff(c4_1_type, type, ( % 5.86/6.06 c4_1: $i > $o)). % 5.86/6.06 tff(c5_1_type, type, ( % 5.86/6.06 c5_1: $i > $o)). % 5.86/6.06 tff(formula1, axiom, % 5.86/6.06 hskp63 <=> $false). % 5.86/6.06 tff(formula2, axiom, % 5.86/6.06 hskp50 <=> $false). % 5.86/6.06 tff(formula3, axiom, % 5.86/6.06 hskp14 <=> $false). % 5.86/6.06 tff(formula4, axiom, % 5.86/6.06 hskp9 <=> $false). % 5.86/6.06 tff(formula5, axiom, % 5.86/6.06 hskp15 <=> $false). % 5.86/6.06 tff(formula6, axiom, % 5.86/6.06 hskp46 <=> $false). % 5.86/6.06 tff(formula7, axiom, % 5.86/6.06 a106 = $i!val!9). % 5.86/6.06 tff(formula8, axiom, % 5.86/6.06 hskp57 <=> $false). % 5.86/6.06 tff(formula9, axiom, % 5.86/6.06 hskp29 <=> $false). % 5.86/6.06 tff(formula10, axiom, % 5.86/6.06 hskp1 <=> $false). % 5.86/6.06 tff(formula11, axiom, % 5.86/6.06 hskp27 <=> $false). % 5.86/6.06 tff(formula12, axiom, % 5.86/6.06 hskp48 <=> $false). % 5.86/6.06 tff(formula13, axiom, % 5.86/6.06 hskp38 <=> $true). % 5.86/6.06 tff(formula14, axiom, % 5.86/6.06 hskp37 <=> $true). % 5.86/6.06 tff(formula15, axiom, % 5.86/6.06 hskp47 <=> $false). % 5.86/6.06 tff(formula16, axiom, % 5.86/6.06 hskp10 <=> $false). % 5.86/6.06 tff(formula17, axiom, % 5.86/6.06 a147 = $i!val!4). % 5.86/6.06 tff(formula18, axiom, % 5.86/6.06 hskp44 <=> $true). % 5.86/6.06 tff(formula19, axiom, % 5.86/6.06 hskp41 <=> $false). % 5.86/6.06 tff(formula20, axiom, % 5.86/6.06 hskp31 <=> $false). % 5.86/6.06 tff(formula21, axiom, % 5.86/6.06 hskp30 <=> $false). % 5.86/6.06 tff(formula22, axiom, % 5.86/6.06 hskp35 <=> $false). % 5.86/6.06 tff(formula23, axiom, % 5.86/6.06 hskp45 <=> $false). % 5.86/6.06 tff(formula24, axiom, % 5.86/6.06 a90 = $i!val!11). % 5.86/6.06 tff(formula25, axiom, % 5.86/6.06 a149 = $i!val!3). % 5.86/6.06 tff(formula26, axiom, % 5.86/6.06 a156 = $i!val!1). % 5.86/6.06 tff(formula27, axiom, % 5.86/6.06 hskp39 <=> $false). % 5.86/6.06 tff(formula28, axiom, % 5.86/6.06 hskp21 <=> $true). % 5.86/6.06 tff(formula29, axiom, % 5.86/6.06 hskp28 <=> $false). % 5.86/6.06 tff(formula30, axiom, % 5.86/6.06 hskp23 <=> $false). % 5.86/6.06 tff(formula31, axiom, % 5.86/6.06 a135 = $i!val!15). % 5.86/6.06 tff(formula32, axiom, % 5.86/6.06 hskp17 <=> $false). % 5.86/6.06 tff(formula33, axiom, % 5.86/6.06 a86 = $i!val!12). % 5.86/6.06 tff(formula34, axiom, % 5.86/6.06 hskp16 <=> $false). % 5.86/6.06 tff(formula35, axiom, % 5.86/6.06 hskp32 <=> $false). % 5.86/6.06 tff(formula36, axiom, % 5.86/6.06 hskp60 <=> $false). % 5.86/6.06 tff(formula37, axiom, % 5.86/6.06 hskp0 <=> $false). % 5.86/6.06 tff(formula38, axiom, % 5.86/6.06 hskp56 <=> $true). % 5.86/6.06 tff(formula39, axiom, % 5.86/6.06 hskp54 <=> $false). % 5.86/6.06 tff(formula40, axiom, % 5.86/6.06 hskp64 <=> $true). % 5.86/6.06 tff(formula41, axiom, % 5.86/6.06 hskp49 <=> $false). % 5.86/6.06 tff(formula42, axiom, % 5.86/6.06 hskp26 <=> $false). % 5.86/6.06 tff(formula43, axiom, % 5.86/6.06 hskp2 <=> $false). % 5.86/6.06 tff(formula44, axiom, % 5.86/6.06 a91 = $i!val!17). % 5.86/6.06 tff(formula45, axiom, % 5.86/6.06 hskp34 <=> $false). % 5.86/6.06 tff(formula46, axiom, % 5.86/6.06 hskp12 <=> $false). % 5.86/6.06 tff(formula47, axiom, % 5.86/6.06 hskp24 <=> $false). % 5.86/6.06 tff(formula48, axiom, % 5.86/6.06 hskp11 <=> $false). % 5.86/6.06 tff(formula49, axiom, % 5.86/6.06 ndr1_0 <=> $true). % 5.86/6.06 tff(formula50, axiom, % 5.86/6.06 hskp40 <=> $false). % 5.86/6.06 tff(formula51, axiom, % 5.86/6.06 hskp13 <=> $false). % 5.86/6.06 tff(formula52, axiom, % 5.86/6.06 hskp7 <=> $false). % 5.86/6.06 tff(formula53, axiom, % 5.86/6.06 hskp3 <=> $true). % 5.86/6.06 tff(formula54, axiom, % 5.86/6.06 hskp5 <=> $true). % 5.86/6.06 tff(formula55, axiom, % 5.86/6.06 a138 = $i!val!6). % 5.86/6.06 tff(formula56, axiom, % 5.86/6.06 hskp59 <=> $false). % 5.86/6.06 tff(formula57, axiom, % 5.86/6.06 hskp6 <=> $false). % 5.86/6.06 tff(formula58, axiom, % 5.86/6.06 a142 = $i!val!5). % 5.86/6.06 tff(formula59, axiom, % 5.86/6.06 hskp58 <=> $false). % 5.86/6.06 tff(formula60, axiom, % 5.86/6.06 a100 = $i!val!10). % 5.86/6.06 tff(formula61, axiom, % 5.86/6.06 hskp53 <=> $true). % 5.86/6.06 tff(formula62, axiom, % 5.86/6.06 hskp62 <=> $false). % 5.86/6.06 tff(formula63, axiom, % 5.86/6.06 hskp51 <=> $true). % 5.86/6.06 tff(formula64, axiom, % 5.86/6.06 hskp33 <=> $false). % 5.86/6.06 tff(formula65, axiom, % 5.86/6.06 a153 = $i!val!0). % 5.86/6.06 tff(formula66, axiom, % 5.86/6.06 a141 = $i!val!14). % 5.86/6.06 tff(formula67, axiom, % 5.86/6.06 hskp36 <=> $false). % 5.86/6.06 tff(formula68, axiom, % 5.86/6.06 hskp19 <=> $false). % 5.86/6.06 tff(formula69, axiom, % 5.86/6.06 a128 = $i!val!7). % 5.86/6.06 tff(formula70, axiom, % 5.86/6.07 hskp42 <=> $true). % 5.86/6.07 tff(formula71, axiom, % 5.86/6.07 a127 = $i!val!8). % 5.86/6.07 tff(formula72, axiom, % 5.86/6.07 hskp55 <=> $false). % 5.86/6.07 tff(formula73, axiom, % 5.86/6.07 hskp25 <=> $false). % 5.86/6.07 tff(formula74, axiom, % 5.86/6.07 hskp20 <=> $false). % 5.86/6.07 tff(formula75, axiom, % 5.86/6.07 hskp18 <=> $true). % 5.86/6.07 tff(formula76, axiom, % 5.86/6.07 hskp43 <=> $false). % 5.86/6.07 tff(formula77, axiom, % 5.86/6.07 a84 = $i!val!13). % 5.86/6.07 tff(formula78, axiom, % 5.86/6.07 hskp61 <=> $false). % 5.86/6.07 tff(formula79, axiom, % 5.86/6.07 hskp52 <=> $false). % 5.86/6.07 tff(formula80, axiom, % 5.86/6.07 hskp22 <=> $false). % 5.86/6.07 tff(formula81, axiom, % 5.86/6.07 a116 = $i!val!16). % 5.86/6.07 tff(formula82, axiom, % 5.86/6.07 a154 = $i!val!2). % 5.86/6.07 tff(formula83, axiom, % 5.86/6.07 a81 = $i!val!18). % 5.86/6.07 tff(formula84, axiom, % 5.86/6.07 hskp8 <=> $true). % 5.86/6.07 tff(formula85, axiom, % 5.86/6.07 hskp4 <=> $false). % 5.86/6.07 tff(formula86, axiom, % 5.86/6.07 ![X0: $i] : (c0_1(X0) <=> ((k!107(X0) = $i!val!7) | (k!107(X0) = $i!val!9) | (k!107(X0) = $i!val!0) | (k!107(X0) = $i!val!18) | (k!107(X0) = $i!val!8)))). % 5.86/6.07 tff(formula87, axiom, % 5.86/6.07 ![X0: $i] : (c3_1(X0) <=> ((k!107(X0) = $i!val!7) | (k!107(X0) = $i!val!9) | (k!107(X0) = $i!val!0) | (k!107(X0) = $i!val!18) | (k!107(X0) = $i!val!8) | (k!107(X0) = $i!val!10) | (k!107(X0) = $i!val!2)))). % 5.86/6.07 tff(formula88, axiom, % 5.86/6.07 ![X0: $i] : (c2_1(X0) <=> ((~(k!107(X0) = $i!val!16)) & (~(k!107(X0) = $i!val!10)) & (~(k!107(X0) = $i!val!1)) & (~(k!107(X0) = $i!val!11)) & (~(k!107(X0) = $i!val!15)) & (~(k!107(X0) = $i!val!5)) & (~(k!107(X0) = $i!val!2))))). % 5.86/6.07 tff(formula89, axiom, % 5.86/6.07 ![X0: $i] : (c1_1(X0) <=> ((k!107(X0) = $i!val!3) | (k!107(X0) = $i!val!13) | (k!107(X0) = $i!val!5) | (k!107(X0) = $i!val!15) | (k!107(X0) = $i!val!11) | (k!107(X0) = $i!val!1) | (k!107(X0) = $i!val!16) | (k!107(X0) = $i!val!10) | (k!107(X0) = $i!val!2)))). % 5.86/6.07 tff(formula90, axiom, % 5.86/6.07 k!107($i!val!15) = $i!val!15). % 5.86/6.07 tff(formula91, axiom, % 5.86/6.07 k!107($i!val!4) = $i!val!4). % 5.86/6.07 tff(formula92, axiom, % 5.86/6.07 k!107($i!val!0) = $i!val!0). % 5.86/6.07 tff(formula93, axiom, % 5.86/6.07 k!107($i!val!9) = $i!val!9). % 5.86/6.07 tff(formula94, axiom, % 5.86/6.07 k!107($i!val!8) = $i!val!8). % 5.86/6.07 tff(formula95, axiom, % 5.86/6.07 k!107($i!val!11) = $i!val!11). % 5.86/6.07 tff(formula96, axiom, % 5.86/6.07 k!107($i!val!17) = $i!val!17). % 5.86/6.07 tff(formula97, axiom, % 5.86/6.07 k!107($i!val!7) = $i!val!7). % 5.86/6.07 tff(formula98, axiom, % 5.86/6.07 k!107($i!val!3) = $i!val!3). % 5.86/6.07 tff(formula99, axiom, % 5.86/6.07 k!107($i!val!1) = $i!val!1). % 5.86/6.07 tff(formula100, axiom, % 5.86/6.07 k!107($i!val!13) = $i!val!13). % 5.86/6.07 tff(formula101, axiom, % 5.86/6.07 k!107($i!val!16) = $i!val!16). % 5.86/6.07 tff(formula102, axiom, % 5.86/6.07 k!107($i!val!18) = $i!val!18). % 5.86/6.07 tff(formula103, axiom, % 5.86/6.07 k!107($i!val!6) = $i!val!6). % 5.86/6.07 tff(formula104, axiom, % 5.86/6.07 k!107($i!val!10) = $i!val!10). % 5.86/6.07 tff(formula105, axiom, % 5.86/6.07 k!107($i!val!2) = $i!val!2). % 5.86/6.07 tff(formula106, axiom, % 5.86/6.07 k!107($i!val!12) = $i!val!12). % 5.86/6.07 tff(formula107, axiom, % 5.86/6.07 k!107($i!val!14) = $i!val!14). % 5.86/6.07 tff(formula108, axiom, % 5.86/6.07 ![X0: $i] : ((~((($i!val!15 = X0)) | (($i!val!4 = X0)) | (($i!val!0 = X0)) | (($i!val!9 = X0)) | (($i!val!8 = X0)) | (($i!val!11 = X0)) | (($i!val!17 = X0)) | (($i!val!7 = X0)) | (($i!val!3 = X0)) | (($i!val!1 = X0)) | (($i!val!13 = X0)) | (($i!val!16 = X0)) | (($i!val!18 = X0)) | (($i!val!6 = X0)) | (($i!val!10 = X0)) | (($i!val!2 = X0)) | (($i!val!12 = X0)) | (($i!val!14 = X0)))) => (k!107(X0) = $i!val!5))). % 5.86/6.07 tff(formula109, axiom, % 5.86/6.07 ![X0: $i] : (c4_1(X0) <=> ((k!107(X0) = $i!val!6) | (k!107(X0) = $i!val!12) | (k!107(X0) = $i!val!17) | (k!107(X0) = $i!val!4) | (k!107(X0) = $i!val!7) | (k!107(X0) = $i!val!14) | (k!107(X0) = $i!val!0)))). % 5.86/6.07 tff(formula110, axiom, % 5.86/6.07 ![X0: $i] : (c5_1(X0) <=> ((~(k!107(X0) = $i!val!15)) & (~(k!107(X0) = $i!val!11)) & (~(k!107(X0) = $i!val!2)) & (~(k!107(X0) = $i!val!10)) & (~(k!107(X0) = $i!val!16)) & (~(k!107(X0) = $i!val!5)) & (~(k!107(X0) = $i!val!1))))). % 5.86/6.07 % SZS output end Model % 5.86/6.09 % E exiting %------------------------------------------------------------------------------