%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN464-1 : 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 05:39:13 AM UTC 2025 % Result : Satisfiable 3.79s 3.98s % Output : Model 3.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN464-1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n013.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % 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 12:36:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.79/3.98 % SZS status Satisfiable % 3.79/3.98 % SZS output start Model % 3.79/3.98 tff(hskp63_type, type, ( % 3.79/3.98 hskp63: $o)). % 3.79/3.98 tff(hskp15_type, type, ( % 3.79/3.98 hskp15: $o)). % 3.79/3.98 tff(tptp_fun__i_val_15_type, type, ( % 3.79/3.98 tptp_fun__i_val_15: $i)). % 3.79/3.98 tff(a2497_type, type, ( % 3.79/3.98 a2497: $i)). % 3.79/3.98 tff(tptp_fun__i_val_29_type, type, ( % 3.79/3.98 tptp_fun__i_val_29: $i)). % 3.79/3.98 tff(a2495_type, type, ( % 3.79/3.98 a2495: $i)). % 3.79/3.98 tff(tptp_fun__i_val_11_type, type, ( % 3.79/3.98 tptp_fun__i_val_11: $i)). % 3.79/3.98 tff(a2447_type, type, ( % 3.79/3.98 a2447: $i)). % 3.79/3.98 tff(hskp1_type, type, ( % 3.79/3.98 hskp1: $o)). % 3.79/3.98 tff(hskp27_type, type, ( % 3.79/3.98 hskp27: $o)). % 3.79/3.98 tff(hskp37_type, type, ( % 3.79/3.98 hskp37: $o)). % 3.79/3.98 tff(tptp_fun__i_val_28_type, type, ( % 3.79/3.98 tptp_fun__i_val_28: $i)). % 3.79/3.98 tff(a2506_type, type, ( % 3.79/3.98 a2506: $i)). % 3.79/3.98 tff(tptp_fun__i_val_18_type, type, ( % 3.79/3.98 tptp_fun__i_val_18: $i)). % 3.79/3.98 tff(a2483_type, type, ( % 3.79/3.98 a2483: $i)). % 3.79/3.98 tff(tptp_fun__i_val_13_type, type, ( % 3.79/3.98 tptp_fun__i_val_13: $i)). % 3.79/3.98 tff(a2431_type, type, ( % 3.79/3.98 a2431: $i)). % 3.79/3.98 tff(hskp31_type, type, ( % 3.79/3.98 hskp31: $o)). % 3.79/3.98 tff(tptp_fun__i_val_17_type, type, ( % 3.79/3.98 tptp_fun__i_val_17: $i)). % 3.79/3.98 tff(a2485_type, type, ( % 3.79/3.98 a2485: $i)). % 3.79/3.98 tff(tptp_fun__i_val_32_type, type, ( % 3.79/3.98 tptp_fun__i_val_32: $i)). % 3.79/3.98 tff(a2454_type, type, ( % 3.79/3.98 a2454: $i)). % 3.79/3.98 tff(hskp45_type, type, ( % 3.79/3.98 hskp45: $o)). % 3.79/3.98 tff(tptp_fun__i_val_6_type, type, ( % 3.79/3.98 tptp_fun__i_val_6: $i)). % 3.79/3.98 tff(a2468_type, type, ( % 3.79/3.98 a2468: $i)). % 3.79/3.98 tff(tptp_fun__i_val_12_type, type, ( % 3.79/3.98 tptp_fun__i_val_12: $i)). % 3.79/3.98 tff(a2433_type, type, ( % 3.79/3.98 a2433: $i)). % 3.79/3.98 tff(hskp68_type, type, ( % 3.79/3.98 hskp68: $o)). % 3.79/3.98 tff(hskp21_type, type, ( % 3.79/3.98 hskp21: $o)). % 3.79/3.98 tff(hskp23_type, type, ( % 3.79/3.98 hskp23: $o)). % 3.79/3.98 tff(tptp_fun__i_val_25_type, type, ( % 3.79/3.98 tptp_fun__i_val_25: $i)). % 3.79/3.98 tff(a2438_type, type, ( % 3.79/3.98 a2438: $i)). % 3.79/3.98 tff(hskp17_type, type, ( % 3.79/3.98 hskp17: $o)). % 3.79/3.98 tff(hskp60_type, type, ( % 3.79/3.98 hskp60: $o)). % 3.79/3.98 tff(tptp_fun__i_val_33_type, type, ( % 3.79/3.98 tptp_fun__i_val_33: $i)). % 3.79/3.98 tff(a2446_type, type, ( % 3.79/3.98 a2446: $i)). % 3.79/3.98 tff(hskp56_type, type, ( % 3.79/3.98 hskp56: $o)). % 3.79/3.98 tff(tptp_fun__i_val_26_type, type, ( % 3.79/3.98 tptp_fun__i_val_26: $i)). % 3.79/3.98 tff(a2428_type, type, ( % 3.79/3.98 a2428: $i)). % 3.79/3.98 tff(hskp54_type, type, ( % 3.79/3.98 hskp54: $o)). % 3.79/3.98 tff(hskp2_type, type, ( % 3.79/3.98 hskp2: $o)). % 3.79/3.98 tff(hskp26_type, type, ( % 3.79/3.98 hskp26: $o)). % 3.79/3.98 tff(tptp_fun__i_val_0_type, type, ( % 3.79/3.98 tptp_fun__i_val_0: $i)). % 3.79/3.98 tff(a2509_type, type, ( % 3.79/3.98 a2509: $i)). % 3.79/3.98 tff(tptp_fun__i_val_31_type, type, ( % 3.79/3.98 tptp_fun__i_val_31: $i)). % 3.79/3.98 tff(a2466_type, type, ( % 3.79/3.98 a2466: $i)). % 3.79/3.98 tff(hskp12_type, type, ( % 3.79/3.98 hskp12: $o)). % 3.79/3.98 tff(ndr1_0_type, type, ( % 3.79/3.98 ndr1_0: $o)). % 3.79/3.98 tff(hskp40_type, type, ( % 3.79/3.98 hskp40: $o)). % 3.79/3.98 tff(hskp65_type, type, ( % 3.79/3.98 hskp65: $o)). % 3.79/3.98 tff(tptp_fun__i_val_27_type, type, ( % 3.79/3.98 tptp_fun__i_val_27: $i)). % 3.79/3.98 tff(a2514_type, type, ( % 3.79/3.98 a2514: $i)). % 3.79/3.98 tff(hskp59_type, type, ( % 3.79/3.98 hskp59: $o)). % 3.79/3.98 tff(hskp53_type, type, ( % 3.79/3.98 hskp53: $o)). % 3.79/3.98 tff(tptp_fun__i_val_24_type, type, ( % 3.79/3.98 tptp_fun__i_val_24: $i)). % 3.79/3.98 tff(a2441_type, type, ( % 3.79/3.98 a2441: $i)). % 3.79/3.98 tff(tptp_fun__i_val_30_type, type, ( % 3.79/3.98 tptp_fun__i_val_30: $i)). % 3.79/3.98 tff(a2478_type, type, ( % 3.79/3.98 a2478: $i)). % 3.79/3.98 tff(hskp67_type, type, ( % 3.79/3.98 hskp67: $o)). % 3.79/3.98 tff(tptp_fun__i_val_4_type, type, ( % 3.79/3.98 tptp_fun__i_val_4: $i)). % 3.79/3.98 tff(a2476_type, type, ( % 3.79/3.98 a2476: $i)). % 3.79/3.98 tff(hskp19_type, type, ( % 3.79/3.98 hskp19: $o)). % 3.79/3.98 tff(hskp42_type, type, ( % 3.79/3.98 hskp42: $o)). % 3.79/3.98 tff(hskp20_type, type, ( % 3.79/3.98 hskp20: $o)). % 3.79/3.98 tff(hskp25_type, type, ( % 3.79/3.98 hskp25: $o)). % 3.79/3.98 tff(hskp43_type, type, ( % 3.79/3.98 hskp43: $o)). % 3.79/3.98 tff(tptp_fun__i_val_8_type, type, ( % 3.79/3.98 tptp_fun__i_val_8: $i)). % 3.79/3.98 tff(a2459_type, type, ( % 3.79/3.98 a2459: $i)). % 3.79/3.98 tff(hskp52_type, type, ( % 3.79/3.98 hskp52: $o)). % 3.79/3.98 tff(hskp22_type, type, ( % 3.79/3.98 hskp22: $o)). % 3.79/3.98 tff(hskp50_type, type, ( % 3.79/3.98 hskp50: $o)). % 3.79/3.98 tff(hskp14_type, type, ( % 3.79/3.98 hskp14: $o)). % 3.79/3.98 tff(hskp9_type, type, ( % 3.79/3.98 hskp9: $o)). % 3.79/3.98 tff(tptp_fun__i_val_9_type, type, ( % 3.79/3.98 tptp_fun__i_val_9: $i)). % 3.79/3.98 tff(a2456_type, type, ( % 3.79/3.98 a2456: $i)). % 3.79/3.98 tff(hskp46_type, type, ( % 3.79/3.98 hskp46: $o)). % 3.79/3.98 tff(hskp57_type, type, ( % 3.79/3.98 hskp57: $o)). % 3.79/3.98 tff(tptp_fun__i_val_7_type, type, ( % 3.79/3.98 tptp_fun__i_val_7: $i)). % 3.79/3.98 tff(a2460_type, type, ( % 3.79/3.98 a2460: $i)). % 3.79/3.98 tff(hskp29_type, type, ( % 3.79/3.98 hskp29: $o)). % 3.79/3.98 tff(hskp48_type, type, ( % 3.79/3.98 hskp48: $o)). % 3.79/3.98 tff(tptp_fun__i_val_10_type, type, ( % 3.79/3.98 tptp_fun__i_val_10: $i)). % 3.79/3.98 tff(a2452_type, type, ( % 3.79/3.98 a2452: $i)). % 3.79/3.98 tff(hskp38_type, type, ( % 3.79/3.98 hskp38: $o)). % 3.79/3.98 tff(hskp69_type, type, ( % 3.79/3.98 hskp69: $o)). % 3.79/3.98 tff(hskp47_type, type, ( % 3.79/3.98 hskp47: $o)). % 3.79/3.98 tff(hskp10_type, type, ( % 3.79/3.98 hskp10: $o)). % 3.79/3.98 tff(hskp44_type, type, ( % 3.79/3.98 hskp44: $o)). % 3.79/3.98 tff(hskp41_type, type, ( % 3.79/3.98 hskp41: $o)). % 3.79/3.98 tff(tptp_fun__i_val_1_type, type, ( % 3.79/3.98 tptp_fun__i_val_1: $i)). % 3.79/3.98 tff(a2499_type, type, ( % 3.79/3.98 a2499: $i)). % 3.79/3.98 tff(hskp30_type, type, ( % 3.79/3.98 hskp30: $o)). % 3.79/3.98 tff(tptp_fun__i_val_19_type, type, ( % 3.79/3.98 tptp_fun__i_val_19: $i)). % 3.79/3.98 tff(a2473_type, type, ( % 3.79/3.98 a2473: $i)). % 3.79/3.98 tff(hskp35_type, type, ( % 3.79/3.98 hskp35: $o)). % 3.79/3.98 tff(tptp_fun__i_val_16_type, type, ( % 3.79/3.98 tptp_fun__i_val_16: $i)). % 3.79/3.98 tff(a2492_type, type, ( % 3.79/3.98 a2492: $i)). % 3.79/3.98 tff(tptp_fun__i_val_2_type, type, ( % 3.79/3.98 tptp_fun__i_val_2: $i)). % 3.79/3.98 tff(a2491_type, type, ( % 3.79/3.98 a2491: $i)). % 3.79/3.98 tff(tptp_fun__i_val_5_type, type, ( % 3.79/3.98 tptp_fun__i_val_5: $i)). % 3.79/3.98 tff(a2471_type, type, ( % 3.79/3.98 a2471: $i)). % 3.79/3.98 tff(hskp39_type, type, ( % 3.79/3.98 hskp39: $o)). % 3.79/3.98 tff(hskp28_type, type, ( % 3.79/3.98 hskp28: $o)). % 3.79/3.98 tff(hskp32_type, type, ( % 3.79/3.98 hskp32: $o)). % 3.79/3.98 tff(hskp16_type, type, ( % 3.79/3.98 hskp16: $o)). % 3.79/3.98 tff(hskp0_type, type, ( % 3.79/3.98 hskp0: $o)). % 3.79/3.98 tff(hskp64_type, type, ( % 3.79/3.98 hskp64: $o)). % 3.79/3.98 tff(hskp66_type, type, ( % 3.79/3.98 hskp66: $o)). % 3.79/3.98 tff(hskp49_type, type, ( % 3.79/3.98 hskp49: $o)). % 3.79/3.98 tff(hskp34_type, type, ( % 3.79/3.98 hskp34: $o)). % 3.79/3.98 tff(hskp11_type, type, ( % 3.79/3.98 hskp11: $o)). % 3.79/3.98 tff(hskp24_type, type, ( % 3.79/3.98 hskp24: $o)). % 3.79/3.98 tff(tptp_fun__i_val_20_type, type, ( % 3.79/3.98 tptp_fun__i_val_20: $i)). % 3.79/3.98 tff(a2464_type, type, ( % 3.79/3.98 a2464: $i)). % 3.79/3.98 tff(hskp13_type, type, ( % 3.79/3.98 hskp13: $o)). % 3.79/3.98 tff(hskp7_type, type, ( % 3.79/3.98 hskp7: $o)). % 3.79/3.98 tff(hskp3_type, type, ( % 3.79/3.98 hskp3: $o)). % 3.79/3.98 tff(hskp5_type, type, ( % 3.79/3.98 hskp5: $o)). % 3.79/3.98 tff(tptp_fun__i_val_23_type, type, ( % 3.79/3.98 tptp_fun__i_val_23: $i)). % 3.79/3.98 tff(a2442_type, type, ( % 3.79/3.98 a2442: $i)). % 3.79/3.98 tff(hskp6_type, type, ( % 3.79/3.98 hskp6: $o)). % 3.79/3.98 tff(hskp58_type, type, ( % 3.79/3.98 hskp58: $o)). % 3.79/3.98 tff(hskp51_type, type, ( % 3.79/3.98 hskp51: $o)). % 3.79/3.98 tff(hskp62_type, type, ( % 3.79/3.98 hskp62: $o)). % 3.79/3.98 tff(hskp33_type, type, ( % 3.79/3.98 hskp33: $o)). % 3.79/3.98 tff(tptp_fun__i_val_34_type, type, ( % 3.79/3.98 tptp_fun__i_val_34: $i)). % 3.79/3.98 tff(a2443_type, type, ( % 3.79/3.98 a2443: $i)). % 3.79/3.98 tff(tptp_fun__i_val_21_type, type, ( % 3.79/3.98 tptp_fun__i_val_21: $i)). % 3.79/3.98 tff(a2462_type, type, ( % 3.79/3.98 a2462: $i)). % 3.79/3.98 tff(hskp36_type, type, ( % 3.79/3.98 hskp36: $o)). % 3.79/3.98 tff(tptp_fun__i_val_3_type, type, ( % 3.79/3.98 tptp_fun__i_val_3: $i)). % 3.79/3.98 tff(a2479_type, type, ( % 3.79/3.98 a2479: $i)). % 3.79/3.98 tff(hskp55_type, type, ( % 3.79/3.98 hskp55: $o)). % 3.79/3.98 tff(hskp18_type, type, ( % 3.79/3.98 hskp18: $o)). % 3.79/3.98 tff(hskp61_type, type, ( % 3.79/3.98 hskp61: $o)). % 3.79/3.98 tff(tptp_fun__i_val_14_type, type, ( % 3.79/3.98 tptp_fun__i_val_14: $i)). % 3.79/3.98 tff(a2510_type, type, ( % 3.79/3.98 a2510: $i)). % 3.79/3.98 tff(tptp_fun__i_val_22_type, type, ( % 3.79/3.98 tptp_fun__i_val_22: $i)). % 3.79/3.98 tff(a2445_type, type, ( % 3.79/3.98 a2445: $i)). % 3.79/3.98 tff(hskp8_type, type, ( % 3.79/3.98 hskp8: $o)). % 3.79/3.98 tff(hskp4_type, type, ( % 3.79/3.98 hskp4: $o)). % 3.79/3.98 tff(c1_1_type, type, ( % 3.79/3.98 c1_1: $i > $o)). % 3.79/3.98 tff(k!0_type, type, ( % 3.79/3.98 k!0: $i > $i)). % 3.79/3.98 tff(c2_1_type, type, ( % 3.79/3.98 c2_1: $i > $o)). % 3.79/3.98 tff(c3_1_type, type, ( % 3.79/3.98 c3_1: $i > $o)). % 3.79/3.98 tff(c0_1_type, type, ( % 3.79/3.98 c0_1: $i > $o)). % 3.79/3.98 tff(formula1, axiom, % 3.79/3.98 hskp63 <=> $false). % 3.79/3.98 tff(formula2, axiom, % 3.79/3.98 hskp15 <=> $false). % 3.79/3.98 tff(formula3, axiom, % 3.79/3.98 a2497 = $i!val!15). % 3.79/3.98 tff(formula4, axiom, % 3.79/3.98 a2495 = $i!val!29). % 3.79/3.98 tff(formula5, axiom, % 3.79/3.98 a2447 = $i!val!11). % 3.79/3.98 tff(formula6, axiom, % 3.79/3.98 hskp1 <=> $false). % 3.79/3.98 tff(formula7, axiom, % 3.79/3.98 hskp27 <=> $true). % 3.79/3.98 tff(formula8, axiom, % 3.79/3.98 hskp37 <=> $true). % 3.79/3.98 tff(formula9, axiom, % 3.79/3.98 a2506 = $i!val!28). % 3.79/3.98 tff(formula10, axiom, % 3.79/3.98 a2483 = $i!val!18). % 3.79/3.98 tff(formula11, axiom, % 3.79/3.98 a2431 = $i!val!13). % 3.79/3.98 tff(formula12, axiom, % 3.79/3.98 hskp31 <=> $false). % 3.79/3.98 tff(formula13, axiom, % 3.79/3.98 a2485 = $i!val!17). % 3.79/3.98 tff(formula14, axiom, % 3.79/3.98 a2454 = $i!val!32). % 3.79/3.98 tff(formula15, axiom, % 3.79/3.98 hskp45 <=> $false). % 3.79/3.98 tff(formula16, axiom, % 3.79/3.98 a2468 = $i!val!6). % 3.79/3.98 tff(formula17, axiom, % 3.79/3.98 a2433 = $i!val!12). % 3.79/3.98 tff(formula18, axiom, % 3.79/3.98 hskp68 <=> $false). % 3.79/3.98 tff(formula19, axiom, % 3.79/3.98 hskp21 <=> $false). % 3.79/3.98 tff(formula20, axiom, % 3.79/3.98 hskp23 <=> $true). % 3.79/3.98 tff(formula21, axiom, % 3.79/3.98 a2438 = $i!val!25). % 3.79/3.98 tff(formula22, axiom, % 3.79/3.98 hskp17 <=> $false). % 3.79/3.98 tff(formula23, axiom, % 3.79/3.98 hskp60 <=> $false). % 3.79/3.98 tff(formula24, axiom, % 3.79/3.98 a2446 = $i!val!33). % 3.79/3.98 tff(formula25, axiom, % 3.79/3.98 hskp56 <=> $true). % 3.79/3.98 tff(formula26, axiom, % 3.79/3.98 a2428 = $i!val!26). % 3.79/3.98 tff(formula27, axiom, % 3.79/3.98 hskp54 <=> $false). % 3.79/3.98 tff(formula28, axiom, % 3.79/3.98 hskp2 <=> $false). % 3.79/3.98 tff(formula29, axiom, % 3.79/3.98 hskp26 <=> $true). % 3.79/3.98 tff(formula30, axiom, % 3.79/3.98 a2509 = $i!val!0). % 3.79/3.98 tff(formula31, axiom, % 3.79/3.98 a2466 = $i!val!31). % 3.79/3.98 tff(formula32, axiom, % 3.79/3.98 hskp12 <=> $true). % 3.79/3.98 tff(formula33, axiom, % 3.79/3.98 ndr1_0 <=> $true). % 3.79/3.98 tff(formula34, axiom, % 3.79/3.98 hskp40 <=> $false). % 3.79/3.98 tff(formula35, axiom, % 3.79/3.98 hskp65 <=> $false). % 3.79/3.98 tff(formula36, axiom, % 3.79/3.98 a2514 = $i!val!27). % 3.79/3.98 tff(formula37, axiom, % 3.79/3.98 hskp59 <=> $true). % 3.79/3.98 tff(formula38, axiom, % 3.79/3.98 hskp53 <=> $false). % 3.79/3.98 tff(formula39, axiom, % 3.79/3.98 a2441 = $i!val!24). % 3.79/3.98 tff(formula40, axiom, % 3.79/3.98 a2478 = $i!val!30). % 3.79/3.98 tff(formula41, axiom, % 3.79/3.98 hskp67 <=> $false). % 3.79/3.98 tff(formula42, axiom, % 3.79/3.98 a2476 = $i!val!4). % 3.79/3.98 tff(formula43, axiom, % 3.79/3.98 hskp19 <=> $true). % 3.79/3.98 tff(formula44, axiom, % 3.79/3.98 hskp42 <=> $false). % 3.79/3.98 tff(formula45, axiom, % 3.79/3.98 hskp20 <=> $true). % 3.79/3.98 tff(formula46, axiom, % 3.79/3.98 hskp25 <=> $false). % 3.79/3.98 tff(formula47, axiom, % 3.79/3.98 hskp43 <=> $false). % 3.79/3.98 tff(formula48, axiom, % 3.79/3.98 a2459 = $i!val!8). % 3.79/3.98 tff(formula49, axiom, % 3.79/3.98 hskp52 <=> $true). % 3.79/3.98 tff(formula50, axiom, % 3.79/3.98 hskp22 <=> $false). % 3.79/3.98 tff(formula51, axiom, % 3.79/3.98 hskp50 <=> $false). % 3.79/3.98 tff(formula52, axiom, % 3.79/3.98 hskp14 <=> $true). % 3.79/3.98 tff(formula53, axiom, % 3.79/3.98 hskp9 <=> $true). % 3.79/3.98 tff(formula54, axiom, % 3.79/3.98 a2456 = $i!val!9). % 3.79/3.98 tff(formula55, axiom, % 3.79/3.98 hskp46 <=> $false). % 3.79/3.98 tff(formula56, axiom, % 3.79/3.98 hskp57 <=> $false). % 3.79/3.98 tff(formula57, axiom, % 3.79/3.98 a2460 = $i!val!7). % 3.79/3.98 tff(formula58, axiom, % 3.79/3.98 hskp29 <=> $false). % 3.79/3.98 tff(formula59, axiom, % 3.79/3.98 hskp48 <=> $false). % 3.79/3.98 tff(formula60, axiom, % 3.79/3.98 a2452 = $i!val!10). % 3.79/3.98 tff(formula61, axiom, % 3.79/3.98 hskp38 <=> $false). % 3.79/3.98 tff(formula62, axiom, % 3.79/3.98 hskp69 <=> $false). % 3.79/3.98 tff(formula63, axiom, % 3.79/3.98 hskp47 <=> $false). % 3.79/3.98 tff(formula64, axiom, % 3.79/3.98 hskp10 <=> $false). % 3.79/3.98 tff(formula65, axiom, % 3.79/3.98 hskp44 <=> $false). % 3.79/3.98 tff(formula66, axiom, % 3.79/3.98 hskp41 <=> $false). % 3.79/3.98 tff(formula67, axiom, % 3.79/3.98 a2499 = $i!val!1). % 3.79/3.98 tff(formula68, axiom, % 3.79/3.98 hskp30 <=> $true). % 3.79/3.98 tff(formula69, axiom, % 3.79/3.98 a2473 = $i!val!19). % 3.79/3.98 tff(formula70, axiom, % 3.79/3.98 hskp35 <=> $false). % 3.79/3.98 tff(formula71, axiom, % 3.79/3.98 a2492 = $i!val!16). % 3.79/3.98 tff(formula72, axiom, % 3.79/3.98 a2491 = $i!val!2). % 3.79/3.98 tff(formula73, axiom, % 3.79/3.98 a2471 = $i!val!5). % 3.79/3.98 tff(formula74, axiom, % 3.79/3.98 hskp39 <=> $false). % 3.79/3.98 tff(formula75, axiom, % 3.79/3.98 hskp28 <=> $true). % 3.79/3.98 tff(formula76, axiom, % 3.79/3.98 hskp32 <=> $false). % 3.79/3.98 tff(formula77, axiom, % 3.79/3.98 hskp16 <=> $false). % 3.79/3.98 tff(formula78, axiom, % 3.79/3.98 hskp0 <=> $true). % 3.79/3.98 tff(formula79, axiom, % 3.79/3.98 hskp64 <=> $false). % 3.79/3.98 tff(formula80, axiom, % 3.79/3.98 hskp66 <=> $false). % 3.79/3.98 tff(formula81, axiom, % 3.79/3.98 hskp49 <=> $true). % 3.79/3.98 tff(formula82, axiom, % 3.79/3.98 hskp34 <=> $false). % 3.79/3.98 tff(formula83, axiom, % 3.79/3.98 hskp11 <=> $false). % 3.79/3.98 tff(formula84, axiom, % 3.79/3.98 hskp24 <=> $false). % 3.79/3.98 tff(formula85, axiom, % 3.79/3.98 a2464 = $i!val!20). % 3.79/3.98 tff(formula86, axiom, % 3.79/3.98 hskp13 <=> $false). % 3.79/3.98 tff(formula87, axiom, % 3.79/3.98 hskp7 <=> $true). % 3.79/3.98 tff(formula88, axiom, % 3.79/3.98 hskp3 <=> $false). % 3.79/3.98 tff(formula89, axiom, % 3.79/3.98 hskp5 <=> $false). % 3.79/3.98 tff(formula90, axiom, % 3.79/3.98 a2442 = $i!val!23). % 3.79/3.98 tff(formula91, axiom, % 3.79/3.98 hskp6 <=> $false). % 3.79/3.98 tff(formula92, axiom, % 3.79/3.98 hskp58 <=> $false). % 3.79/3.98 tff(formula93, axiom, % 3.79/3.98 hskp51 <=> $false). % 3.79/3.98 tff(formula94, axiom, % 3.79/3.98 hskp62 <=> $false). % 3.79/3.98 tff(formula95, axiom, % 3.79/3.98 hskp33 <=> $false). % 3.79/3.98 tff(formula96, axiom, % 3.79/3.98 a2443 = $i!val!34). % 3.79/3.98 tff(formula97, axiom, % 3.79/3.98 a2462 = $i!val!21). % 3.79/3.98 tff(formula98, axiom, % 3.79/3.98 hskp36 <=> $false). % 3.79/3.98 tff(formula99, axiom, % 3.79/3.98 a2479 = $i!val!3). % 3.79/3.98 tff(formula100, axiom, % 3.79/3.98 hskp55 <=> $false). % 3.79/3.98 tff(formula101, axiom, % 3.79/3.98 hskp18 <=> $false). % 3.79/3.98 tff(formula102, axiom, % 3.79/3.98 hskp61 <=> $false). % 3.79/3.98 tff(formula103, axiom, % 3.79/3.98 a2510 = $i!val!14). % 3.79/3.98 tff(formula104, axiom, % 3.79/3.98 a2445 = $i!val!22). % 3.79/3.98 tff(formula105, axiom, % 3.79/3.98 hskp8 <=> $true). % 3.79/3.98 tff(formula106, axiom, % 3.79/3.98 hskp4 <=> $false). % 3.79/3.98 tff(formula107, axiom, % 3.79/3.98 ![X0: $i] : (c1_1(X0) <=> $false)). % 3.79/3.98 tff(formula108, axiom, % 3.79/3.98 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!21) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!26)))). % 3.79/3.98 tff(formula109, axiom, % 3.79/3.98 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!21) | (k!0(X0) = $i!val!22)))). % 3.79/3.98 tff(formula110, axiom, % 3.79/3.98 k!0($i!val!9) = $i!val!9). % 3.79/3.98 tff(formula111, axiom, % 3.82/3.98 k!0($i!val!26) = $i!val!26). % 3.82/3.98 tff(formula112, axiom, % 3.82/3.98 k!0($i!val!15) = $i!val!15). % 3.82/3.98 tff(formula113, axiom, % 3.82/3.98 k!0($i!val!0) = $i!val!0). % 3.82/3.98 tff(formula114, axiom, % 3.82/3.98 k!0($i!val!29) = $i!val!29). % 3.82/3.98 tff(formula115, axiom, % 3.82/3.98 k!0($i!val!11) = $i!val!11). % 3.82/3.98 tff(formula116, axiom, % 3.82/3.98 k!0($i!val!7) = $i!val!7). % 3.82/3.98 tff(formula117, axiom, % 3.82/3.98 k!0($i!val!31) = $i!val!31). % 3.82/3.98 tff(formula118, axiom, % 3.82/3.98 k!0($i!val!10) = $i!val!10). % 3.82/3.98 tff(formula119, axiom, % 3.82/3.98 k!0($i!val!20) = $i!val!20). % 3.82/3.98 tff(formula120, axiom, % 3.82/3.98 k!0($i!val!23) = $i!val!23). % 3.82/3.98 tff(formula121, axiom, % 3.82/3.98 k!0($i!val!28) = $i!val!28). % 3.82/3.98 tff(formula122, axiom, % 3.82/3.98 k!0($i!val!27) = $i!val!27). % 3.82/3.98 tff(formula123, axiom, % 3.82/3.98 k!0($i!val!18) = $i!val!18). % 3.82/3.98 tff(formula124, axiom, % 3.82/3.98 k!0($i!val!13) = $i!val!13). % 3.82/3.98 tff(formula125, axiom, % 3.82/3.98 k!0($i!val!34) = $i!val!34). % 3.82/3.98 tff(formula126, axiom, % 3.82/3.98 k!0($i!val!1) = $i!val!1). % 3.82/3.98 tff(formula127, axiom, % 3.82/3.98 k!0($i!val!21) = $i!val!21). % 3.82/3.98 tff(formula128, axiom, % 3.82/3.98 k!0($i!val!30) = $i!val!30). % 3.82/3.98 tff(formula129, axiom, % 3.82/3.99 k!0($i!val!24) = $i!val!24). % 3.82/3.99 tff(formula130, axiom, % 3.82/3.99 k!0($i!val!19) = $i!val!19). % 3.82/3.99 tff(formula131, axiom, % 3.82/3.99 k!0($i!val!17) = $i!val!17). % 3.82/3.99 tff(formula132, axiom, % 3.82/3.99 k!0($i!val!12) = $i!val!12). % 3.82/3.99 tff(formula133, axiom, % 3.82/3.99 k!0($i!val!16) = $i!val!16). % 3.82/3.99 tff(formula134, axiom, % 3.82/3.99 k!0($i!val!4) = $i!val!4). % 3.82/3.99 tff(formula135, axiom, % 3.82/3.99 k!0($i!val!3) = $i!val!3). % 3.82/3.99 tff(formula136, axiom, % 3.82/3.99 k!0($i!val!5) = $i!val!5). % 3.82/3.99 tff(formula137, axiom, % 3.82/3.99 k!0($i!val!2) = $i!val!2). % 3.82/3.99 tff(formula138, axiom, % 3.82/3.99 k!0($i!val!6) = $i!val!6). % 3.82/3.99 tff(formula139, axiom, % 3.82/3.99 k!0($i!val!32) = $i!val!32). % 3.82/3.99 tff(formula140, axiom, % 3.82/3.99 k!0($i!val!8) = $i!val!8). % 3.82/3.99 tff(formula141, axiom, % 3.82/3.99 k!0($i!val!25) = $i!val!25). % 3.82/3.99 tff(formula142, axiom, % 3.82/3.99 k!0($i!val!14) = $i!val!14). % 3.82/3.99 tff(formula143, axiom, % 3.82/3.99 k!0($i!val!22) = $i!val!22). % 3.82/3.99 tff(formula144, axiom, % 3.82/3.99 ![X0: $i] : ((~((($i!val!9 = X0)) | (($i!val!26 = X0)) | (($i!val!15 = X0)) | (($i!val!0 = X0)) | (($i!val!29 = X0)) | (($i!val!11 = X0)) | (($i!val!7 = X0)) | (($i!val!31 = X0)) | (($i!val!10 = X0)) | (($i!val!20 = X0)) | (($i!val!23 = X0)) | (($i!val!28 = X0)) | (($i!val!27 = X0)) | (($i!val!18 = X0)) | (($i!val!13 = X0)) | (($i!val!34 = X0)) | (($i!val!1 = X0)) | (($i!val!21 = X0)) | (($i!val!30 = X0)) | (($i!val!24 = X0)) | (($i!val!19 = X0)) | (($i!val!17 = X0)) | (($i!val!12 = X0)) | (($i!val!16 = X0)) | (($i!val!4 = X0)) | (($i!val!3 = X0)) | (($i!val!5 = X0)) | (($i!val!2 = X0)) | (($i!val!6 = X0)) | (($i!val!32 = X0)) | (($i!val!8 = X0)) | (($i!val!25 = X0)) | (($i!val!14 = X0)) | (($i!val!22 = X0)))) => (k!0(X0) = $i!val!33))). % 3.82/3.99 tff(formula145, axiom, % 3.82/3.99 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!5)))). % 3.82/3.99 % SZS output end Model % 3.82/3.99 % E exiting %------------------------------------------------------------------------------