%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN453+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 05:39:10 AM UTC 2025 % Result : CounterSatisfiable 0.41s 0.57s % Output : Model 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN453+1 : TPTP v9.0.0. Released v2.1.0. % 0.06/0.12 % 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 12:35:38 EDT 2025 % 0.12/0.33 % CPUTime : % 0.41/0.57 % SZS status CounterSatisfiable % 0.41/0.57 % SZS output start Model % 0.41/0.57 tff(hskp63_type, type, ( % 0.41/0.57 hskp63: $o)). % 0.41/0.57 tff(tptp_fun__i_val_33_type, type, ( % 0.41/0.57 tptp_fun__i_val_33: $i)). % 0.41/0.57 tff(a2035_type, type, ( % 0.41/0.57 a2035: $i)). % 0.41/0.57 tff(tptp_fun__i_val_32_type, type, ( % 0.41/0.57 tptp_fun__i_val_32: $i)). % 0.41/0.57 tff(a2030_type, type, ( % 0.41/0.57 a2030: $i)). % 0.41/0.57 tff(hskp15_type, type, ( % 0.41/0.57 hskp15: $o)). % 0.41/0.57 tff(hskp1_type, type, ( % 0.41/0.57 hskp1: $o)). % 0.41/0.57 tff(hskp27_type, type, ( % 0.41/0.57 hskp27: $o)). % 0.41/0.57 tff(tptp_fun__i_val_14_type, type, ( % 0.41/0.57 tptp_fun__i_val_14: $i)). % 0.41/0.57 tff(a2057_type, type, ( % 0.41/0.57 a2057: $i)). % 0.41/0.57 tff(tptp_fun__i_val_41_type, type, ( % 0.41/0.57 tptp_fun__i_val_41: $i)). % 0.41/0.57 tff(a2074_type, type, ( % 0.41/0.57 a2074: $i)). % 0.41/0.57 tff(hskp37_type, type, ( % 0.41/0.57 hskp37: $o)). % 0.41/0.57 tff(tptp_fun__i_val_22_type, type, ( % 0.41/0.57 tptp_fun__i_val_22: $i)). % 0.41/0.57 tff(a1995_type, type, ( % 0.41/0.57 a1995: $i)). % 0.41/0.57 tff(tptp_fun__i_val_1_type, type, ( % 0.41/0.57 tptp_fun__i_val_1: $i)). % 0.41/0.57 tff(a1999_type, type, ( % 0.41/0.57 a1999: $i)). % 0.41/0.57 tff(hskp31_type, type, ( % 0.41/0.57 hskp31: $o)). % 0.41/0.57 tff(tptp_fun__i_val_6_type, type, ( % 0.41/0.57 tptp_fun__i_val_6: $i)). % 0.41/0.57 tff(a2014_type, type, ( % 0.41/0.57 a2014: $i)). % 0.41/0.57 tff(tptp_fun__i_val_16_type, type, ( % 0.41/0.57 tptp_fun__i_val_16: $i)). % 0.41/0.57 tff(a2065_type, type, ( % 0.41/0.57 a2065: $i)). % 0.41/0.57 tff(hskp45_type, type, ( % 0.41/0.57 hskp45: $o)). % 0.41/0.57 tff(hskp21_type, type, ( % 0.41/0.57 hskp21: $o)). % 0.41/0.57 tff(hskp23_type, type, ( % 0.41/0.57 hskp23: $o)). % 0.41/0.57 tff(hskp17_type, type, ( % 0.41/0.57 hskp17: $o)). % 0.41/0.57 tff(hskp60_type, type, ( % 0.41/0.57 hskp60: $o)). % 0.41/0.57 tff(tptp_fun__i_val_7_type, type, ( % 0.41/0.57 tptp_fun__i_val_7: $i)). % 0.41/0.57 tff(a2015_type, type, ( % 0.41/0.57 a2015: $i)). % 0.41/0.57 tff(tptp_fun__i_val_8_type, type, ( % 0.41/0.57 tptp_fun__i_val_8: $i)). % 0.41/0.57 tff(a2020_type, type, ( % 0.41/0.57 a2020: $i)). % 0.41/0.57 tff(tptp_fun__i_val_26_type, type, ( % 0.41/0.57 tptp_fun__i_val_26: $i)). % 0.41/0.57 tff(a2004_type, type, ( % 0.41/0.57 a2004: $i)). % 0.41/0.57 tff(hskp56_type, type, ( % 0.41/0.57 hskp56: $o)). % 0.41/0.57 tff(hskp2_type, type, ( % 0.41/0.57 hskp2: $o)). % 0.41/0.57 tff(hskp54_type, type, ( % 0.41/0.57 hskp54: $o)). % 0.41/0.57 tff(hskp26_type, type, ( % 0.41/0.57 hskp26: $o)). % 0.41/0.57 tff(hskp12_type, type, ( % 0.41/0.57 hskp12: $o)). % 0.41/0.57 tff(hskp70_type, type, ( % 0.41/0.57 hskp70: $o)). % 0.41/0.57 tff(ndr1_0_type, type, ( % 0.41/0.57 ndr1_0: $o)). % 0.41/0.57 tff(hskp40_type, type, ( % 0.41/0.57 hskp40: $o)). % 0.41/0.57 tff(tptp_fun__i_val_3_type, type, ( % 0.41/0.57 tptp_fun__i_val_3: $i)). % 0.41/0.57 tff(a2001_type, type, ( % 0.41/0.57 a2001: $i)). % 0.41/0.57 tff(hskp59_type, type, ( % 0.41/0.57 hskp59: $o)). % 0.41/0.57 tff(hskp53_type, type, ( % 0.41/0.57 hskp53: $o)). % 0.41/0.57 tff(tptp_fun__i_val_34_type, type, ( % 0.41/0.57 tptp_fun__i_val_34: $i)). % 0.41/0.57 tff(a2037_type, type, ( % 0.41/0.57 a2037: $i)). % 0.41/0.57 tff(tptp_fun__i_val_35_type, type, ( % 0.41/0.57 tptp_fun__i_val_35: $i)). % 0.41/0.57 tff(a2046_type, type, ( % 0.41/0.57 a2046: $i)). % 0.41/0.57 tff(hskp67_type, type, ( % 0.41/0.57 hskp67: $o)). % 0.41/0.57 tff(tptp_fun__i_val_9_type, type, ( % 0.41/0.57 tptp_fun__i_val_9: $i)). % 0.41/0.57 tff(a2023_type, type, ( % 0.41/0.57 a2023: $i)). % 0.41/0.57 tff(hskp19_type, type, ( % 0.41/0.57 hskp19: $o)). % 0.41/0.57 tff(hskp42_type, type, ( % 0.41/0.57 hskp42: $o)). % 0.41/0.57 tff(hskp20_type, type, ( % 0.41/0.57 hskp20: $o)). % 0.41/0.57 tff(hskp25_type, type, ( % 0.41/0.57 hskp25: $o)). % 0.41/0.57 tff(hskp43_type, type, ( % 0.41/0.57 hskp43: $o)). % 0.41/0.57 tff(hskp52_type, type, ( % 0.41/0.57 hskp52: $o)). % 0.41/0.57 tff(hskp22_type, type, ( % 0.41/0.57 hskp22: $o)). % 0.41/0.57 tff(tptp_fun__i_val_25_type, type, ( % 0.41/0.57 tptp_fun__i_val_25: $i)). % 0.41/0.57 tff(a2003_type, type, ( % 0.41/0.57 a2003: $i)). % 0.41/0.57 tff(tptp_fun__i_val_11_type, type, ( % 0.41/0.57 tptp_fun__i_val_11: $i)). % 0.41/0.57 tff(a2041_type, type, ( % 0.41/0.57 a2041: $i)). % 0.41/0.57 tff(tptp_fun__i_val_0_type, type, ( % 0.41/0.57 tptp_fun__i_val_0: $i)). % 0.41/0.57 tff(a1994_type, type, ( % 0.41/0.57 a1994: $i)). % 0.41/0.57 tff(hskp14_type, type, ( % 0.41/0.57 hskp14: $o)). % 0.41/0.57 tff(hskp50_type, type, ( % 0.41/0.57 hskp50: $o)). % 0.41/0.57 tff(hskp9_type, type, ( % 0.41/0.57 hskp9: $o)). % 0.41/0.57 tff(tptp_fun__i_val_31_type, type, ( % 0.41/0.57 tptp_fun__i_val_31: $i)). % 0.41/0.57 tff(a2029_type, type, ( % 0.41/0.57 a2029: $i)). % 0.41/0.57 tff(hskp46_type, type, ( % 0.41/0.57 hskp46: $o)). % 0.41/0.57 tff(hskp57_type, type, ( % 0.41/0.57 hskp57: $o)). % 0.41/0.57 tff(hskp29_type, type, ( % 0.41/0.57 hskp29: $o)). % 0.41/0.57 tff(hskp48_type, type, ( % 0.41/0.57 hskp48: $o)). % 0.41/0.57 tff(hskp38_type, type, ( % 0.41/0.57 hskp38: $o)). % 0.41/0.57 tff(hskp69_type, type, ( % 0.41/0.57 hskp69: $o)). % 0.41/0.57 tff(hskp47_type, type, ( % 0.41/0.57 hskp47: $o)). % 0.41/0.57 tff(hskp10_type, type, ( % 0.41/0.57 hskp10: $o)). % 0.41/0.57 tff(tptp_fun__i_val_5_type, type, ( % 0.41/0.57 tptp_fun__i_val_5: $i)). % 0.41/0.57 tff(a2013_type, type, ( % 0.41/0.57 a2013: $i)). % 0.41/0.57 tff(hskp44_type, type, ( % 0.41/0.57 hskp44: $o)). % 0.41/0.57 tff(hskp41_type, type, ( % 0.41/0.57 hskp41: $o)). % 0.41/0.57 tff(tptp_fun__i_val_19_type, type, ( % 0.41/0.57 tptp_fun__i_val_19: $i)). % 0.41/0.57 tff(a2079_type, type, ( % 0.41/0.57 a2079: $i)). % 0.41/0.57 tff(hskp30_type, type, ( % 0.41/0.57 hskp30: $o)). % 0.41/0.57 tff(hskp35_type, type, ( % 0.41/0.57 hskp35: $o)). % 0.41/0.57 tff(tptp_fun__i_val_38_type, type, ( % 0.41/0.57 tptp_fun__i_val_38: $i)). % 0.41/0.57 tff(a2059_type, type, ( % 0.41/0.57 a2059: $i)). % 0.41/0.57 tff(tptp_fun__i_val_10_type, type, ( % 0.41/0.57 tptp_fun__i_val_10: $i)). % 0.41/0.57 tff(a2032_type, type, ( % 0.41/0.57 a2032: $i)). % 0.41/0.57 tff(hskp39_type, type, ( % 0.41/0.57 hskp39: $o)). % 0.41/0.57 tff(hskp28_type, type, ( % 0.41/0.57 hskp28: $o)). % 0.41/0.57 tff(tptp_fun__i_val_17_type, type, ( % 0.41/0.57 tptp_fun__i_val_17: $i)). % 0.41/0.57 tff(a2068_type, type, ( % 0.41/0.57 a2068: $i)). % 0.41/0.57 tff(hskp16_type, type, ( % 0.41/0.57 hskp16: $o)). % 0.41/0.57 tff(tptp_fun__i_val_20_type, type, ( % 0.41/0.57 tptp_fun__i_val_20: $i)). % 0.41/0.57 tff(a2083_type, type, ( % 0.41/0.57 a2083: $i)). % 0.41/0.57 tff(hskp0_type, type, ( % 0.41/0.57 hskp0: $o)). % 0.41/0.57 tff(tptp_fun__i_val_15_type, type, ( % 0.41/0.57 tptp_fun__i_val_15: $i)). % 0.41/0.57 tff(a2062_type, type, ( % 0.41/0.57 a2062: $i)). % 0.41/0.57 tff(tptp_fun__i_val_27_type, type, ( % 0.41/0.57 tptp_fun__i_val_27: $i)). % 0.41/0.57 tff(a2005_type, type, ( % 0.41/0.57 a2005: $i)). % 0.41/0.57 tff(tptp_fun__i_val_28_type, type, ( % 0.41/0.57 tptp_fun__i_val_28: $i)). % 0.41/0.57 tff(a2017_type, type, ( % 0.41/0.57 a2017: $i)). % 0.41/0.57 tff(hskp64_type, type, ( % 0.41/0.57 hskp64: $o)). % 0.41/0.57 tff(hskp49_type, type, ( % 0.41/0.57 hskp49: $o)). % 0.41/0.57 tff(hskp66_type, type, ( % 0.41/0.57 hskp66: $o)). % 0.41/0.57 tff(tptp_fun__i_val_2_type, type, ( % 0.41/0.57 tptp_fun__i_val_2: $i)). % 0.41/0.57 tff(a2000_type, type, ( % 0.41/0.57 a2000: $i)). % 0.41/0.57 tff(tptp_fun__i_val_12_type, type, ( % 0.41/0.57 tptp_fun__i_val_12: $i)). % 0.41/0.57 tff(a2045_type, type, ( % 0.41/0.57 a2045: $i)). % 0.41/0.57 tff(tptp_fun__i_val_21_type, type, ( % 0.41/0.57 tptp_fun__i_val_21: $i)). % 0.41/0.57 tff(a1993_type, type, ( % 0.41/0.57 a1993: $i)). % 0.41/0.57 tff(hskp34_type, type, ( % 0.41/0.57 hskp34: $o)). % 0.41/0.57 tff(hskp11_type, type, ( % 0.41/0.57 hskp11: $o)). % 0.41/0.57 tff(hskp24_type, type, ( % 0.41/0.57 hskp24: $o)). % 0.41/0.57 tff(tptp_fun__i_val_13_type, type, ( % 0.41/0.57 tptp_fun__i_val_13: $i)). % 0.41/0.57 tff(a2050_type, type, ( % 0.41/0.57 a2050: $i)). % 0.41/0.57 tff(tptp_fun__i_val_18_type, type, ( % 0.41/0.57 tptp_fun__i_val_18: $i)). % 0.41/0.57 tff(a2069_type, type, ( % 0.41/0.57 a2069: $i)). % 0.41/0.57 tff(tptp_fun__i_val_36_type, type, ( % 0.41/0.57 tptp_fun__i_val_36: $i)). % 0.41/0.57 tff(a2048_type, type, ( % 0.41/0.57 a2048: $i)). % 0.41/0.57 tff(hskp13_type, type, ( % 0.41/0.57 hskp13: $o)). % 0.41/0.57 tff(hskp7_type, type, ( % 0.41/0.57 hskp7: $o)). % 0.41/0.57 tff(hskp3_type, type, ( % 0.41/0.57 hskp3: $o)). % 0.41/0.57 tff(hskp5_type, type, ( % 0.41/0.57 hskp5: $o)). % 0.41/0.57 tff(tptp_fun__i_val_30_type, type, ( % 0.41/0.57 tptp_fun__i_val_30: $i)). % 0.41/0.57 tff(a2026_type, type, ( % 0.41/0.57 a2026: $i)). % 0.41/0.57 tff(hskp6_type, type, ( % 0.41/0.57 hskp6: $o)). % 0.41/0.57 tff(tptp_fun__i_val_37_type, type, ( % 0.41/0.57 tptp_fun__i_val_37: $i)). % 0.41/0.57 tff(a2054_type, type, ( % 0.41/0.57 a2054: $i)). % 0.41/0.57 tff(tptp_fun__i_val_40_type, type, ( % 0.41/0.57 tptp_fun__i_val_40: $i)). % 0.41/0.57 tff(a2073_type, type, ( % 0.41/0.57 a2073: $i)). % 0.41/0.57 tff(hskp58_type, type, ( % 0.41/0.57 hskp58: $o)). % 0.41/0.57 tff(tptp_fun__i_val_29_type, type, ( % 0.41/0.57 tptp_fun__i_val_29: $i)). % 0.41/0.57 tff(a2025_type, type, ( % 0.41/0.57 a2025: $i)). % 0.41/0.57 tff(hskp33_type, type, ( % 0.41/0.57 hskp33: $o)). % 0.41/0.57 tff(hskp51_type, type, ( % 0.41/0.57 hskp51: $o)). % 0.41/0.57 tff(hskp62_type, type, ( % 0.41/0.57 hskp62: $o)). % 0.41/0.57 tff(tptp_fun__i_val_24_type, type, ( % 0.41/0.57 tptp_fun__i_val_24: $i)). % 0.41/0.57 tff(a2002_type, type, ( % 0.41/0.57 a2002: $i)). % 0.41/0.57 tff(tptp_fun__i_val_4_type, type, ( % 0.41/0.57 tptp_fun__i_val_4: $i)). % 0.41/0.57 tff(a2011_type, type, ( % 0.41/0.57 a2011: $i)). % 0.41/0.57 tff(hskp36_type, type, ( % 0.41/0.57 hskp36: $o)). % 0.41/0.57 tff(hskp18_type, type, ( % 0.41/0.57 hskp18: $o)). % 0.41/0.57 tff(tptp_fun__i_val_39_type, type, ( % 0.41/0.57 tptp_fun__i_val_39: $i)). % 0.41/0.57 tff(a2063_type, type, ( % 0.41/0.57 a2063: $i)). % 0.41/0.57 tff(hskp61_type, type, ( % 0.41/0.57 hskp61: $o)). % 0.41/0.57 tff(tptp_fun__i_val_23_type, type, ( % 0.41/0.57 tptp_fun__i_val_23: $i)). % 0.41/0.57 tff(a1997_type, type, ( % 0.41/0.57 a1997: $i)). % 0.41/0.57 tff(k!0_type, type, ( % 0.41/0.57 k!0: $i > $i)). % 0.41/0.57 tff(c0_1_type, type, ( % 0.41/0.57 c0_1: $i > $o)). % 0.41/0.57 tff(c3_1_type, type, ( % 0.41/0.57 c3_1: $i > $o)). % 0.41/0.57 tff(c2_1_type, type, ( % 0.41/0.57 c2_1: $i > $o)). % 0.41/0.57 tff(c1_1_type, type, ( % 0.41/0.57 c1_1: $i > $o)). % 0.41/0.57 tff(formula1, axiom, % 0.41/0.57 hskp63 <=> $true). % 0.41/0.57 tff(formula2, axiom, % 0.41/0.57 a2035 = $i!val!33). % 0.41/0.57 tff(formula3, axiom, % 0.41/0.57 a2030 = $i!val!32). % 0.41/0.57 tff(formula4, axiom, % 0.41/0.57 hskp15 <=> $false). % 0.41/0.57 tff(formula5, axiom, % 0.41/0.57 hskp1 <=> $false). % 0.41/0.57 tff(formula6, axiom, % 0.41/0.57 hskp27 <=> $true). % 0.41/0.57 tff(formula7, axiom, % 0.41/0.57 a2057 = $i!val!14). % 0.41/0.57 tff(formula8, axiom, % 0.41/0.57 a2074 = $i!val!41). % 0.41/0.57 tff(formula9, axiom, % 0.41/0.57 hskp37 <=> $true). % 0.41/0.57 tff(formula10, axiom, % 0.41/0.57 a1995 = $i!val!22). % 0.41/0.57 tff(formula11, axiom, % 0.41/0.57 a1999 = $i!val!1). % 0.41/0.57 tff(formula12, axiom, % 0.41/0.57 hskp31 <=> $false). % 0.41/0.57 tff(formula13, axiom, % 0.41/0.57 a2014 = $i!val!6). % 0.41/0.57 tff(formula14, axiom, % 0.41/0.57 a2065 = $i!val!16). % 0.41/0.57 tff(formula15, axiom, % 0.41/0.57 hskp45 <=> $false). % 0.41/0.57 tff(formula16, axiom, % 0.41/0.57 hskp21 <=> $false). % 0.41/0.57 tff(formula17, axiom, % 0.41/0.57 hskp23 <=> $true). % 0.41/0.57 tff(formula18, axiom, % 0.41/0.57 hskp17 <=> $false). % 0.41/0.57 tff(formula19, axiom, % 0.41/0.57 hskp60 <=> $false). % 0.41/0.57 tff(formula20, axiom, % 0.41/0.57 a2015 = $i!val!7). % 0.41/0.57 tff(formula21, axiom, % 0.41/0.57 a2020 = $i!val!8). % 0.41/0.57 tff(formula22, axiom, % 0.41/0.57 a2004 = $i!val!26). % 0.41/0.57 tff(formula23, axiom, % 0.41/0.57 hskp56 <=> $false). % 0.41/0.57 tff(formula24, axiom, % 0.41/0.57 hskp2 <=> $true). % 0.41/0.57 tff(formula25, axiom, % 0.41/0.57 hskp54 <=> $true). % 0.41/0.57 tff(formula26, axiom, % 0.41/0.57 hskp26 <=> $true). % 0.41/0.57 tff(formula27, axiom, % 0.41/0.57 hskp12 <=> $false). % 0.41/0.57 tff(formula28, axiom, % 0.41/0.57 hskp70 <=> $false). % 0.41/0.57 tff(formula29, axiom, % 0.41/0.57 ndr1_0 <=> $true). % 0.41/0.57 tff(formula30, axiom, % 0.41/0.57 hskp40 <=> $true). % 0.41/0.57 tff(formula31, axiom, % 0.41/0.57 a2001 = $i!val!3). % 0.41/0.57 tff(formula32, axiom, % 0.41/0.57 hskp59 <=> $false). % 0.41/0.57 tff(formula33, axiom, % 0.41/0.57 hskp53 <=> $true). % 0.41/0.57 tff(formula34, axiom, % 0.41/0.57 a2037 = $i!val!34). % 0.41/0.57 tff(formula35, axiom, % 0.41/0.57 a2046 = $i!val!35). % 0.41/0.57 tff(formula36, axiom, % 0.41/0.57 hskp67 <=> $false). % 0.41/0.57 tff(formula37, axiom, % 0.41/0.57 a2023 = $i!val!9). % 0.41/0.57 tff(formula38, axiom, % 0.41/0.57 hskp19 <=> $false). % 0.41/0.57 tff(formula39, axiom, % 0.41/0.57 hskp42 <=> $false). % 0.41/0.57 tff(formula40, axiom, % 0.41/0.57 hskp20 <=> $true). % 0.41/0.57 tff(formula41, axiom, % 0.41/0.57 hskp25 <=> $true). % 0.41/0.57 tff(formula42, axiom, % 0.41/0.57 hskp43 <=> $true). % 0.41/0.57 tff(formula43, axiom, % 0.41/0.57 hskp52 <=> $false). % 0.41/0.57 tff(formula44, axiom, % 0.41/0.57 hskp22 <=> $true). % 0.41/0.57 tff(formula45, axiom, % 0.41/0.57 a2003 = $i!val!25). % 0.41/0.57 tff(formula46, axiom, % 0.41/0.57 a2041 = $i!val!11). % 0.41/0.57 tff(formula47, axiom, % 0.41/0.57 a1994 = $i!val!0). % 0.41/0.57 tff(formula48, axiom, % 0.41/0.57 hskp14 <=> $true). % 0.41/0.57 tff(formula49, axiom, % 0.41/0.57 hskp50 <=> $true). % 0.41/0.57 tff(formula50, axiom, % 0.41/0.57 hskp9 <=> $true). % 0.41/0.57 tff(formula51, axiom, % 0.41/0.57 a2029 = $i!val!31). % 0.41/0.57 tff(formula52, axiom, % 0.41/0.57 hskp46 <=> $false). % 0.41/0.57 tff(formula53, axiom, % 0.41/0.57 hskp57 <=> $true). % 0.41/0.57 tff(formula54, axiom, % 0.41/0.57 hskp29 <=> $true). % 0.41/0.57 tff(formula55, axiom, % 0.41/0.57 hskp48 <=> $false). % 0.41/0.57 tff(formula56, axiom, % 0.41/0.57 hskp38 <=> $false). % 0.41/0.57 tff(formula57, axiom, % 0.41/0.57 hskp69 <=> $true). % 0.41/0.57 tff(formula58, axiom, % 0.41/0.57 hskp47 <=> $true). % 0.41/0.57 tff(formula59, axiom, % 0.41/0.57 hskp10 <=> $true). % 0.41/0.57 tff(formula60, axiom, % 0.41/0.57 a2013 = $i!val!5). % 0.41/0.57 tff(formula61, axiom, % 0.41/0.57 hskp44 <=> $false). % 0.41/0.57 tff(formula62, axiom, % 0.41/0.57 hskp41 <=> $false). % 0.41/0.57 tff(formula63, axiom, % 0.41/0.57 a2079 = $i!val!19). % 0.41/0.57 tff(formula64, axiom, % 0.41/0.57 hskp30 <=> $false). % 0.41/0.57 tff(formula65, axiom, % 0.41/0.57 hskp35 <=> $false). % 0.41/0.57 tff(formula66, axiom, % 0.41/0.57 a2059 = $i!val!38). % 0.41/0.57 tff(formula67, axiom, % 0.41/0.57 a2032 = $i!val!10). % 0.41/0.57 tff(formula68, axiom, % 0.41/0.57 hskp39 <=> $true). % 0.41/0.57 tff(formula69, axiom, % 0.41/0.57 hskp28 <=> $true). % 0.41/0.57 tff(formula70, axiom, % 0.41/0.57 a2068 = $i!val!17). % 0.41/0.57 tff(formula71, axiom, % 0.41/0.57 hskp16 <=> $true). % 0.41/0.57 tff(formula72, axiom, % 0.41/0.57 a2083 = $i!val!20). % 0.41/0.57 tff(formula73, axiom, % 0.41/0.57 hskp0 <=> $true). % 0.41/0.57 tff(formula74, axiom, % 0.41/0.57 a2062 = $i!val!15). % 0.41/0.57 tff(formula75, axiom, % 0.41/0.57 a2005 = $i!val!27). % 0.41/0.57 tff(formula76, axiom, % 0.41/0.57 a2017 = $i!val!28). % 0.41/0.57 tff(formula77, axiom, % 0.41/0.57 hskp64 <=> $false). % 0.41/0.57 tff(formula78, axiom, % 0.41/0.57 hskp49 <=> $false). % 0.41/0.57 tff(formula79, axiom, % 0.41/0.57 hskp66 <=> $false). % 0.41/0.57 tff(formula80, axiom, % 0.41/0.57 a2000 = $i!val!2). % 0.41/0.57 tff(formula81, axiom, % 0.41/0.57 a2045 = $i!val!12). % 0.41/0.57 tff(formula82, axiom, % 0.41/0.57 a1993 = $i!val!21). % 0.41/0.57 tff(formula83, axiom, % 0.41/0.57 hskp34 <=> $true). % 0.41/0.57 tff(formula84, axiom, % 0.41/0.57 hskp11 <=> $false). % 0.41/0.57 tff(formula85, axiom, % 0.41/0.57 hskp24 <=> $true). % 0.41/0.57 tff(formula86, axiom, % 0.41/0.57 a2050 = $i!val!13). % 0.41/0.57 tff(formula87, axiom, % 0.41/0.57 a2069 = $i!val!18). % 0.41/0.57 tff(formula88, axiom, % 0.41/0.57 a2048 = $i!val!36). % 0.41/0.57 tff(formula89, axiom, % 0.41/0.57 hskp13 <=> $true). % 0.41/0.57 tff(formula90, axiom, % 0.41/0.57 hskp7 <=> $true). % 0.41/0.57 tff(formula91, axiom, % 0.41/0.57 hskp3 <=> $true). % 0.41/0.57 tff(formula92, axiom, % 0.41/0.57 hskp5 <=> $false). % 0.41/0.57 tff(formula93, axiom, % 0.41/0.57 a2026 = $i!val!30). % 0.41/0.57 tff(formula94, axiom, % 0.41/0.57 hskp6 <=> $false). % 0.41/0.57 tff(formula95, axiom, % 0.41/0.57 a2054 = $i!val!37). % 0.41/0.57 tff(formula96, axiom, % 0.41/0.57 a2073 = $i!val!40). % 0.41/0.57 tff(formula97, axiom, % 0.41/0.57 hskp58 <=> $false). % 0.41/0.57 tff(formula98, axiom, % 0.41/0.57 a2025 = $i!val!29). % 0.41/0.57 tff(formula99, axiom, % 0.41/0.57 hskp33 <=> $true). % 0.41/0.57 tff(formula100, axiom, % 0.41/0.57 hskp51 <=> $true). % 0.41/0.57 tff(formula101, axiom, % 0.41/0.57 hskp62 <=> $false). % 0.41/0.57 tff(formula102, axiom, % 0.41/0.57 a2002 = $i!val!24). % 0.41/0.57 tff(formula103, axiom, % 0.41/0.57 a2011 = $i!val!4). % 0.41/0.57 tff(formula104, axiom, % 0.41/0.57 hskp36 <=> $true). % 0.41/0.57 tff(formula105, axiom, % 0.41/0.57 hskp18 <=> $false). % 0.41/0.57 tff(formula106, axiom, % 0.41/0.57 a2063 = $i!val!39). % 0.41/0.57 tff(formula107, axiom, % 0.41/0.57 hskp61 <=> $true). % 0.41/0.57 tff(formula108, axiom, % 0.41/0.57 a1997 = $i!val!23). % 0.41/0.57 tff(formula109, axiom, % 0.41/0.57 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!36) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!26) | (k!0(X0) = $i!val!21) | (k!0(X0) = $i!val!35) | (k!0(X0) = $i!val!30) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!40) | (k!0(X0) = $i!val!39) | (k!0(X0) = $i!val!22) | (k!0(X0) = $i!val!41) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!27)))). % 0.41/0.57 tff(formula110, axiom, % 0.41/0.57 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!37) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!34) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!24) | (k!0(X0) = $i!val!19)))). % 0.41/0.57 tff(formula111, axiom, % 0.41/0.57 ![X0: $i] : (c2_1(X0) <=> ((~(k!0(X0) = $i!val!27)) & (~(k!0(X0) = $i!val!36)) & (~(k!0(X0) = $i!val!0)) & (~(k!0(X0) = $i!val!41)) & (~(k!0(X0) = $i!val!40)) & (~(k!0(X0) = $i!val!23)) & (~(k!0(X0) = $i!val!20)) & (~(k!0(X0) = $i!val!17)) & (~(k!0(X0) = $i!val!15)) & (~(k!0(X0) = $i!val!13)) & (~(k!0(X0) = $i!val!10)) & (~(k!0(X0) = $i!val!8)) & (~(k!0(X0) = $i!val!6)) & (~(k!0(X0) = $i!val!4)) & (~(k!0(X0) = $i!val!3)) & (~(k!0(X0) = $i!val!1))))). % 0.41/0.57 tff(formula112, axiom, % 0.41/0.57 k!0($i!val!20) = $i!val!20). % 0.41/0.57 tff(formula113, axiom, % 0.41/0.57 k!0($i!val!26) = $i!val!26). % 0.41/0.57 tff(formula114, axiom, % 0.41/0.57 k!0($i!val!33) = $i!val!33). % 0.41/0.57 tff(formula115, axiom, % 0.41/0.57 k!0($i!val!7) = $i!val!7). % 0.41/0.57 tff(formula116, axiom, % 0.41/0.57 k!0($i!val!25) = $i!val!25). % 0.41/0.57 tff(formula117, axiom, % 0.41/0.57 k!0($i!val!15) = $i!val!15). % 0.41/0.57 tff(formula118, axiom, % 0.41/0.57 k!0($i!val!27) = $i!val!27). % 0.41/0.57 tff(formula119, axiom, % 0.41/0.57 k!0($i!val!28) = $i!val!28). % 0.41/0.57 tff(formula120, axiom, % 0.41/0.57 k!0($i!val!31) = $i!val!31). % 0.41/0.57 tff(formula121, axiom, % 0.41/0.57 k!0($i!val!32) = $i!val!32). % 0.41/0.57 tff(formula122, axiom, % 0.41/0.57 k!0($i!val!2) = $i!val!2). % 0.41/0.57 tff(formula123, axiom, % 0.41/0.57 k!0($i!val!21) = $i!val!21). % 0.41/0.57 tff(formula124, axiom, % 0.41/0.57 k!0($i!val!12) = $i!val!12). % 0.41/0.57 tff(formula125, axiom, % 0.41/0.57 k!0($i!val!40) = $i!val!40). % 0.41/0.57 tff(formula126, axiom, % 0.41/0.57 k!0($i!val!18) = $i!val!18). % 0.41/0.57 tff(formula127, axiom, % 0.41/0.57 k!0($i!val!36) = $i!val!36). % 0.41/0.57 tff(formula128, axiom, % 0.41/0.57 k!0($i!val!13) = $i!val!13). % 0.41/0.57 tff(formula129, axiom, % 0.41/0.57 k!0($i!val!14) = $i!val!14). % 0.41/0.57 tff(formula130, axiom, % 0.41/0.57 k!0($i!val!41) = $i!val!41). % 0.41/0.57 tff(formula131, axiom, % 0.41/0.57 k!0($i!val!37) = $i!val!37). % 0.41/0.57 tff(formula132, axiom, % 0.41/0.57 k!0($i!val!3) = $i!val!3). % 0.41/0.57 tff(formula133, axiom, % 0.41/0.57 k!0($i!val!22) = $i!val!22). % 0.41/0.57 tff(formula134, axiom, % 0.41/0.57 k!0($i!val!30) = $i!val!30). % 0.41/0.57 tff(formula135, axiom, % 0.41/0.57 k!0($i!val!5) = $i!val!5). % 0.41/0.57 tff(formula136, axiom, % 0.41/0.57 k!0($i!val!29) = $i!val!29). % 0.41/0.57 tff(formula137, axiom, % 0.41/0.57 k!0($i!val!1) = $i!val!1). % 0.41/0.57 tff(formula138, axiom, % 0.41/0.57 k!0($i!val!24) = $i!val!24). % 0.41/0.57 tff(formula139, axiom, % 0.41/0.57 k!0($i!val!19) = $i!val!19). % 0.41/0.57 tff(formula140, axiom, % 0.41/0.57 k!0($i!val!35) = $i!val!35). % 0.41/0.57 tff(formula141, axiom, % 0.41/0.57 k!0($i!val!6) = $i!val!6). % 0.41/0.57 tff(formula142, axiom, % 0.41/0.57 k!0($i!val!4) = $i!val!4). % 0.41/0.57 tff(formula143, axiom, % 0.41/0.57 k!0($i!val!16) = $i!val!16). % 0.41/0.57 tff(formula144, axiom, % 0.41/0.57 k!0($i!val!34) = $i!val!34). % 0.41/0.57 tff(formula145, axiom, % 0.41/0.57 k!0($i!val!9) = $i!val!9). % 0.41/0.57 tff(formula146, axiom, % 0.41/0.57 k!0($i!val!38) = $i!val!38). % 0.41/0.57 tff(formula147, axiom, % 0.41/0.57 k!0($i!val!10) = $i!val!10). % 0.41/0.57 tff(formula148, axiom, % 0.41/0.57 k!0($i!val!39) = $i!val!39). % 0.41/0.57 tff(formula149, axiom, % 0.41/0.57 k!0($i!val!17) = $i!val!17). % 0.41/0.57 tff(formula150, axiom, % 0.41/0.57 k!0($i!val!23) = $i!val!23). % 0.41/0.57 tff(formula151, axiom, % 0.41/0.57 k!0($i!val!0) = $i!val!0). % 0.41/0.57 tff(formula152, axiom, % 0.41/0.57 k!0($i!val!8) = $i!val!8). % 0.41/0.57 tff(formula153, axiom, % 0.41/0.57 ![X0: $i] : ((~((($i!val!20 = X0)) | (($i!val!26 = X0)) | (($i!val!33 = X0)) | (($i!val!7 = X0)) | (($i!val!25 = X0)) | (($i!val!15 = X0)) | (($i!val!27 = X0)) | (($i!val!28 = X0)) | (($i!val!31 = X0)) | (($i!val!32 = X0)) | (($i!val!2 = X0)) | (($i!val!21 = X0)) | (($i!val!12 = X0)) | (($i!val!40 = X0)) | (($i!val!18 = X0)) | (($i!val!36 = X0)) | (($i!val!13 = X0)) | (($i!val!14 = X0)) | (($i!val!41 = X0)) | (($i!val!37 = X0)) | (($i!val!3 = X0)) | (($i!val!22 = X0)) | (($i!val!30 = X0)) | (($i!val!5 = X0)) | (($i!val!29 = X0)) | (($i!val!1 = X0)) | (($i!val!24 = X0)) | (($i!val!19 = X0)) | (($i!val!35 = X0)) | (($i!val!6 = X0)) | (($i!val!4 = X0)) | (($i!val!16 = X0)) | (($i!val!34 = X0)) | (($i!val!9 = X0)) | (($i!val!38 = X0)) | (($i!val!10 = X0)) | (($i!val!39 = X0)) | (($i!val!17 = X0)) | (($i!val!23 = X0)) | (($i!val!0 = X0)) | (($i!val!8 = X0)))) => (k!0(X0) = $i!val!11))). % 0.41/0.58 tff(formula154, axiom, % 0.41/0.58 ![X0: $i] : (c1_1(X0) <=> ((~(k!0(X0) = $i!val!36)) & (~(k!0(X0) = $i!val!28)) & (~(k!0(X0) = $i!val!27)) & (~(k!0(X0) = $i!val!20)) & (~(k!0(X0) = $i!val!19)) & (~(k!0(X0) = $i!val!15)) & (~(k!0(X0) = $i!val!10)) & (~(k!0(X0) = $i!val!5)) & (~(k!0(X0) = $i!val!3)) & (~(k!0(X0) = $i!val!0))))). % 0.41/0.58 % SZS output end Model % 0.41/0.58 % E exiting %------------------------------------------------------------------------------