%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN435+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 05:39:05 AM UTC 2025 % Result : CounterSatisfiable 0.20s 0.45s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SYN435+1 : TPTP v9.0.0. Released v2.1.0. % 0.08/0.13 % 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 12:34:38 EDT 2025 % 0.12/0.34 % CPUTime : % 0.20/0.45 % SZS status CounterSatisfiable % 0.20/0.45 % SZS output start Model % 0.20/0.45 tff(hskp4_type, type, ( % 0.20/0.45 hskp4: $o)). % 0.20/0.45 tff(hskp50_type, type, ( % 0.20/0.45 hskp50: $o)). % 0.20/0.45 tff(hskp9_type, type, ( % 0.20/0.45 hskp9: $o)). % 0.20/0.45 tff(tptp_fun__i_val_24_type, type, ( % 0.20/0.45 tptp_fun__i_val_24: $i)). % 0.20/0.45 tff(a305_type, type, ( % 0.20/0.45 a305: $i)). % 0.20/0.45 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.45 tptp_fun__i_val_8: $i)). % 0.20/0.45 tff(a311_type, type, ( % 0.20/0.45 a311: $i)). % 0.20/0.45 tff(hskp15_type, type, ( % 0.20/0.45 hskp15: $o)). % 0.20/0.45 tff(hskp46_type, type, ( % 0.20/0.45 hskp46: $o)). % 0.20/0.45 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.45 tptp_fun__i_val_0: $i)). % 0.20/0.45 tff(a282_type, type, ( % 0.20/0.45 a282: $i)). % 0.20/0.45 tff(tptp_fun__i_val_21_type, type, ( % 0.20/0.45 tptp_fun__i_val_21: $i)). % 0.20/0.45 tff(a298_type, type, ( % 0.20/0.45 a298: $i)). % 0.20/0.45 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.45 tptp_fun__i_val_3: $i)). % 0.20/0.45 tff(a294_type, type, ( % 0.20/0.45 a294: $i)). % 0.20/0.45 tff(hskp29_type, type, ( % 0.20/0.45 hskp29: $o)). % 0.20/0.45 tff(hskp1_type, type, ( % 0.20/0.45 hskp1: $o)). % 0.20/0.45 tff(hskp27_type, type, ( % 0.20/0.45 hskp27: $o)). % 0.20/0.45 tff(hskp48_type, type, ( % 0.20/0.45 hskp48: $o)). % 0.20/0.45 tff(tptp_fun__i_val_15_type, type, ( % 0.20/0.45 tptp_fun__i_val_15: $i)). % 0.20/0.45 tff(a337_type, type, ( % 0.20/0.45 a337: $i)). % 0.20/0.45 tff(tptp_fun__i_val_13_type, type, ( % 0.20/0.45 tptp_fun__i_val_13: $i)). % 0.20/0.45 tff(a324_type, type, ( % 0.20/0.45 a324: $i)). % 0.20/0.45 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.45 tptp_fun__i_val_2: $i)). % 0.20/0.45 tff(a292_type, type, ( % 0.20/0.45 a292: $i)). % 0.20/0.45 tff(tptp_fun__i_val_20_type, type, ( % 0.20/0.45 tptp_fun__i_val_20: $i)). % 0.20/0.45 tff(a296_type, type, ( % 0.20/0.45 a296: $i)). % 0.20/0.45 tff(tptp_fun__i_val_26_type, type, ( % 0.20/0.45 tptp_fun__i_val_26: $i)). % 0.20/0.45 tff(a316_type, type, ( % 0.20/0.45 a316: $i)). % 0.20/0.45 tff(hskp37_type, type, ( % 0.20/0.45 hskp37: $o)). % 0.20/0.45 tff(hskp38_type, type, ( % 0.20/0.45 hskp38: $o)). % 0.20/0.45 tff(hskp47_type, type, ( % 0.20/0.45 hskp47: $o)). % 0.20/0.45 tff(hskp10_type, type, ( % 0.20/0.45 hskp10: $o)). % 0.20/0.45 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.45 tptp_fun__i_val_9: $i)). % 0.20/0.45 tff(a312_type, type, ( % 0.20/0.45 a312: $i)). % 0.20/0.45 tff(tptp_fun__i_val_17_type, type, ( % 0.20/0.45 tptp_fun__i_val_17: $i)). % 0.20/0.45 tff(a285_type, type, ( % 0.20/0.45 a285: $i)). % 0.20/0.45 tff(tptp_fun__i_val_27_type, type, ( % 0.20/0.45 tptp_fun__i_val_27: $i)). % 0.20/0.45 tff(a331_type, type, ( % 0.20/0.45 a331: $i)). % 0.20/0.45 tff(hskp44_type, type, ( % 0.20/0.45 hskp44: $o)). % 0.20/0.45 tff(hskp31_type, type, ( % 0.20/0.45 hskp31: $o)). % 0.20/0.45 tff(hskp41_type, type, ( % 0.20/0.45 hskp41: $o)). % 0.20/0.45 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.45 tptp_fun__i_val_4: $i)). % 0.20/0.45 tff(a297_type, type, ( % 0.20/0.45 a297: $i)). % 0.20/0.45 tff(hskp30_type, type, ( % 0.20/0.45 hskp30: $o)). % 0.20/0.45 tff(hskp35_type, type, ( % 0.20/0.45 hskp35: $o)). % 0.20/0.45 tff(hskp45_type, type, ( % 0.20/0.45 hskp45: $o)). % 0.20/0.45 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.45 tptp_fun__i_val_12: $i)). % 0.20/0.45 tff(a322_type, type, ( % 0.20/0.45 a322: $i)). % 0.20/0.45 tff(tptp_fun__i_val_30_type, type, ( % 0.20/0.45 tptp_fun__i_val_30: $i)). % 0.20/0.45 tff(a345_type, type, ( % 0.20/0.45 a345: $i)). % 0.20/0.45 tff(hskp39_type, type, ( % 0.20/0.45 hskp39: $o)). % 0.20/0.45 tff(hskp21_type, type, ( % 0.20/0.45 hskp21: $o)). % 0.20/0.45 tff(hskp23_type, type, ( % 0.20/0.45 hskp23: $o)). % 0.20/0.45 tff(hskp28_type, type, ( % 0.20/0.45 hskp28: $o)). % 0.20/0.45 tff(hskp17_type, type, ( % 0.20/0.45 hskp17: $o)). % 0.20/0.45 tff(hskp32_type, type, ( % 0.20/0.45 hskp32: $o)). % 0.20/0.45 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.45 tptp_fun__i_val_6: $i)). % 0.20/0.45 tff(a300_type, type, ( % 0.20/0.45 a300: $i)). % 0.20/0.45 tff(tptp_fun__i_val_29_type, type, ( % 0.20/0.45 tptp_fun__i_val_29: $i)). % 0.20/0.45 tff(a343_type, type, ( % 0.20/0.45 a343: $i)). % 0.20/0.45 tff(hskp0_type, type, ( % 0.20/0.45 hskp0: $o)). % 0.20/0.45 tff(hskp2_type, type, ( % 0.20/0.45 hskp2: $o)). % 0.20/0.45 tff(tptp_fun__i_val_18_type, type, ( % 0.20/0.45 tptp_fun__i_val_18: $i)). % 0.20/0.45 tff(a287_type, type, ( % 0.20/0.45 a287: $i)). % 0.20/0.45 tff(hskp26_type, type, ( % 0.20/0.45 hskp26: $o)). % 0.20/0.45 tff(hskp49_type, type, ( % 0.20/0.45 hskp49: $o)). % 0.20/0.45 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.45 tptp_fun__i_val_5: $i)). % 0.20/0.45 tff(a299_type, type, ( % 0.20/0.45 a299: $i)). % 0.20/0.45 tff(hskp34_type, type, ( % 0.20/0.45 hskp34: $o)). % 0.20/0.45 tff(hskp11_type, type, ( % 0.20/0.45 hskp11: $o)). % 0.20/0.45 tff(hskp12_type, type, ( % 0.20/0.45 hskp12: $o)). % 0.20/0.45 tff(hskp24_type, type, ( % 0.20/0.45 hskp24: $o)). % 0.20/0.45 tff(ndr1_0_type, type, ( % 0.20/0.45 ndr1_0: $o)). % 0.20/0.45 tff(hskp40_type, type, ( % 0.20/0.45 hskp40: $o)). % 0.20/0.45 tff(hskp13_type, type, ( % 0.20/0.45 hskp13: $o)). % 0.20/0.45 tff(hskp7_type, type, ( % 0.20/0.45 hskp7: $o)). % 0.20/0.45 tff(hskp3_type, type, ( % 0.20/0.45 hskp3: $o)). % 0.20/0.45 tff(hskp5_type, type, ( % 0.20/0.45 hskp5: $o)). % 0.20/0.45 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.45 tptp_fun__i_val_11: $i)). % 0.20/0.45 tff(a318_type, type, ( % 0.20/0.45 a318: $i)). % 0.20/0.45 tff(hskp6_type, type, ( % 0.20/0.45 hskp6: $o)). % 0.20/0.45 tff(tptp_fun__i_val_23_type, type, ( % 0.20/0.45 tptp_fun__i_val_23: $i)). % 0.20/0.45 tff(a303_type, type, ( % 0.20/0.45 a303: $i)). % 0.20/0.45 tff(tptp_fun__i_val_25_type, type, ( % 0.20/0.45 tptp_fun__i_val_25: $i)). % 0.20/0.45 tff(a307_type, type, ( % 0.20/0.45 a307: $i)). % 0.20/0.45 tff(tptp_fun__i_val_28_type, type, ( % 0.20/0.45 tptp_fun__i_val_28: $i)). % 0.20/0.45 tff(a335_type, type, ( % 0.20/0.45 a335: $i)). % 0.20/0.45 tff(hskp33_type, type, ( % 0.20/0.45 hskp33: $o)). % 0.20/0.45 tff(hskp51_type, type, ( % 0.20/0.45 hskp51: $o)). % 0.20/0.45 tff(tptp_fun__i_val_19_type, type, ( % 0.20/0.45 tptp_fun__i_val_19: $i)). % 0.20/0.45 tff(a288_type, type, ( % 0.20/0.45 a288: $i)). % 0.20/0.45 tff(tptp_fun__i_val_14_type, type, ( % 0.20/0.45 tptp_fun__i_val_14: $i)). % 0.20/0.45 tff(a327_type, type, ( % 0.20/0.45 a327: $i)). % 0.20/0.45 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.45 tptp_fun__i_val_10: $i)). % 0.20/0.45 tff(a317_type, type, ( % 0.20/0.45 a317: $i)). % 0.20/0.45 tff(hskp36_type, type, ( % 0.20/0.45 hskp36: $o)). % 0.20/0.45 tff(hskp19_type, type, ( % 0.20/0.45 hskp19: $o)). % 0.20/0.45 tff(hskp42_type, type, ( % 0.20/0.45 hskp42: $o)). % 0.20/0.45 tff(hskp25_type, type, ( % 0.20/0.45 hskp25: $o)). % 0.20/0.45 tff(hskp18_type, type, ( % 0.20/0.45 hskp18: $o)). % 0.20/0.45 tff(hskp43_type, type, ( % 0.20/0.45 hskp43: $o)). % 0.20/0.45 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.45 tptp_fun__i_val_1: $i)). % 0.20/0.45 tff(a290_type, type, ( % 0.20/0.45 a290: $i)). % 0.20/0.45 tff(hskp52_type, type, ( % 0.20/0.45 hskp52: $o)). % 0.20/0.45 tff(hskp22_type, type, ( % 0.20/0.45 hskp22: $o)). % 0.20/0.45 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.45 tptp_fun__i_val_7: $i)). % 0.20/0.45 tff(a310_type, type, ( % 0.20/0.45 a310: $i)). % 0.20/0.45 tff(tptp_fun__i_val_22_type, type, ( % 0.20/0.45 tptp_fun__i_val_22: $i)). % 0.20/0.45 tff(a302_type, type, ( % 0.20/0.45 a302: $i)). % 0.20/0.45 tff(tptp_fun__i_val_16_type, type, ( % 0.20/0.45 tptp_fun__i_val_16: $i)). % 0.20/0.45 tff(a347_type, type, ( % 0.20/0.45 a347: $i)). % 0.20/0.45 tff(hskp8_type, type, ( % 0.20/0.45 hskp8: $o)). % 0.20/0.45 tff(k!0_type, type, ( % 0.20/0.45 k!0: $i > $i)). % 0.20/0.45 tff(c0_1_type, type, ( % 0.20/0.45 c0_1: $i > $o)). % 0.20/0.45 tff(c2_1_type, type, ( % 0.20/0.45 c2_1: $i > $o)). % 0.20/0.45 tff(c3_1_type, type, ( % 0.20/0.45 c3_1: $i > $o)). % 0.20/0.45 tff(c1_1_type, type, ( % 0.20/0.45 c1_1: $i > $o)). % 0.20/0.45 tff(formula1, axiom, % 0.20/0.45 hskp4 <=> $true). % 0.20/0.45 tff(formula2, axiom, % 0.20/0.45 hskp50 <=> $true). % 0.20/0.45 tff(formula3, axiom, % 0.20/0.45 hskp9 <=> $false). % 0.20/0.45 tff(formula4, axiom, % 0.20/0.45 a305 = $i!val!24). % 0.20/0.45 tff(formula5, axiom, % 0.20/0.45 a311 = $i!val!8). % 0.20/0.45 tff(formula6, axiom, % 0.20/0.45 hskp15 <=> $false). % 0.20/0.45 tff(formula7, axiom, % 0.20/0.45 hskp46 <=> $false). % 0.20/0.45 tff(formula8, axiom, % 0.20/0.45 a282 = $i!val!0). % 0.20/0.45 tff(formula9, axiom, % 0.20/0.45 a298 = $i!val!21). % 0.20/0.45 tff(formula10, axiom, % 0.20/0.45 a294 = $i!val!3). % 0.20/0.45 tff(formula11, axiom, % 0.20/0.45 hskp29 <=> $false). % 0.20/0.45 tff(formula12, axiom, % 0.20/0.45 hskp1 <=> $false). % 0.20/0.45 tff(formula13, axiom, % 0.20/0.45 hskp27 <=> $false). % 0.20/0.45 tff(formula14, axiom, % 0.20/0.45 hskp48 <=> $false). % 0.20/0.45 tff(formula15, axiom, % 0.20/0.45 a337 = $i!val!15). % 0.20/0.45 tff(formula16, axiom, % 0.20/0.45 a324 = $i!val!13). % 0.20/0.45 tff(formula17, axiom, % 0.20/0.45 a292 = $i!val!2). % 0.20/0.45 tff(formula18, axiom, % 0.20/0.45 a296 = $i!val!20). % 0.20/0.45 tff(formula19, axiom, % 0.20/0.45 a316 = $i!val!26). % 0.20/0.45 tff(formula20, axiom, % 0.20/0.45 hskp37 <=> $true). % 0.20/0.45 tff(formula21, axiom, % 0.20/0.45 hskp38 <=> $false). % 0.20/0.45 tff(formula22, axiom, % 0.20/0.45 hskp47 <=> $true). % 0.20/0.45 tff(formula23, axiom, % 0.20/0.45 hskp10 <=> $false). % 0.20/0.45 tff(formula24, axiom, % 0.20/0.45 a312 = $i!val!9). % 0.20/0.45 tff(formula25, axiom, % 0.20/0.45 a285 = $i!val!17). % 0.20/0.45 tff(formula26, axiom, % 0.20/0.45 a331 = $i!val!27). % 0.20/0.45 tff(formula27, axiom, % 0.20/0.45 hskp44 <=> $false). % 0.20/0.45 tff(formula28, axiom, % 0.20/0.45 hskp31 <=> $true). % 0.20/0.45 tff(formula29, axiom, % 0.20/0.45 hskp41 <=> $false). % 0.20/0.45 tff(formula30, axiom, % 0.20/0.45 a297 = $i!val!4). % 0.20/0.45 tff(formula31, axiom, % 0.20/0.45 hskp30 <=> $true). % 0.20/0.45 tff(formula32, axiom, % 0.20/0.45 hskp35 <=> $true). % 0.20/0.45 tff(formula33, axiom, % 0.20/0.45 hskp45 <=> $true). % 0.20/0.45 tff(formula34, axiom, % 0.20/0.45 a322 = $i!val!12). % 0.20/0.45 tff(formula35, axiom, % 0.20/0.45 a345 = $i!val!30). % 0.20/0.45 tff(formula36, axiom, % 0.20/0.45 hskp39 <=> $true). % 0.20/0.45 tff(formula37, axiom, % 0.20/0.45 hskp21 <=> $false). % 0.20/0.45 tff(formula38, axiom, % 0.20/0.45 hskp23 <=> $false). % 0.20/0.45 tff(formula39, axiom, % 0.20/0.45 hskp28 <=> $true). % 0.20/0.45 tff(formula40, axiom, % 0.20/0.45 hskp17 <=> $true). % 0.20/0.45 tff(formula41, axiom, % 0.20/0.45 hskp32 <=> $false). % 0.20/0.45 tff(formula42, axiom, % 0.20/0.45 a300 = $i!val!6). % 0.20/0.45 tff(formula43, axiom, % 0.20/0.45 a343 = $i!val!29). % 0.20/0.45 tff(formula44, axiom, % 0.20/0.45 hskp0 <=> $true). % 0.20/0.45 tff(formula45, axiom, % 0.20/0.45 hskp2 <=> $true). % 0.20/0.45 tff(formula46, axiom, % 0.20/0.45 a287 = $i!val!18). % 0.20/0.45 tff(formula47, axiom, % 0.20/0.45 hskp26 <=> $true). % 0.20/0.45 tff(formula48, axiom, % 0.20/0.45 hskp49 <=> $false). % 0.20/0.45 tff(formula49, axiom, % 0.20/0.45 a299 = $i!val!5). % 0.20/0.45 tff(formula50, axiom, % 0.20/0.45 hskp34 <=> $true). % 0.20/0.45 tff(formula51, axiom, % 0.20/0.45 hskp11 <=> $false). % 0.20/0.45 tff(formula52, axiom, % 0.20/0.45 hskp12 <=> $true). % 0.20/0.45 tff(formula53, axiom, % 0.20/0.45 hskp24 <=> $false). % 0.20/0.45 tff(formula54, axiom, % 0.20/0.45 ndr1_0 <=> $true). % 0.20/0.45 tff(formula55, axiom, % 0.20/0.45 hskp40 <=> $true). % 0.20/0.45 tff(formula56, axiom, % 0.20/0.45 hskp13 <=> $true). % 0.20/0.45 tff(formula57, axiom, % 0.20/0.45 hskp7 <=> $true). % 0.20/0.45 tff(formula58, axiom, % 0.20/0.45 hskp3 <=> $false). % 0.20/0.46 tff(formula59, axiom, % 0.20/0.46 hskp5 <=> $true). % 0.20/0.46 tff(formula60, axiom, % 0.20/0.46 a318 = $i!val!11). % 0.20/0.46 tff(formula61, axiom, % 0.20/0.46 hskp6 <=> $true). % 0.20/0.46 tff(formula62, axiom, % 0.20/0.46 a303 = $i!val!23). % 0.20/0.46 tff(formula63, axiom, % 0.20/0.46 a307 = $i!val!25). % 0.20/0.46 tff(formula64, axiom, % 0.20/0.46 a335 = $i!val!28). % 0.20/0.46 tff(formula65, axiom, % 0.20/0.46 hskp33 <=> $false). % 0.20/0.46 tff(formula66, axiom, % 0.20/0.46 hskp51 <=> $false). % 0.20/0.46 tff(formula67, axiom, % 0.20/0.46 a288 = $i!val!19). % 0.20/0.46 tff(formula68, axiom, % 0.20/0.46 a327 = $i!val!14). % 0.20/0.46 tff(formula69, axiom, % 0.20/0.46 a317 = $i!val!10). % 0.20/0.46 tff(formula70, axiom, % 0.20/0.46 hskp36 <=> $true). % 0.20/0.46 tff(formula71, axiom, % 0.20/0.46 hskp19 <=> $true). % 0.20/0.46 tff(formula72, axiom, % 0.20/0.46 hskp42 <=> $true). % 0.20/0.46 tff(formula73, axiom, % 0.20/0.46 hskp25 <=> $true). % 0.20/0.46 tff(formula74, axiom, % 0.20/0.46 hskp18 <=> $false). % 0.20/0.46 tff(formula75, axiom, % 0.20/0.46 hskp43 <=> $false). % 0.20/0.46 tff(formula76, axiom, % 0.20/0.46 a290 = $i!val!1). % 0.20/0.46 tff(formula77, axiom, % 0.20/0.46 hskp52 <=> $true). % 0.20/0.46 tff(formula78, axiom, % 0.20/0.46 hskp22 <=> $true). % 0.20/0.46 tff(formula79, axiom, % 0.20/0.46 a310 = $i!val!7). % 0.20/0.46 tff(formula80, axiom, % 0.20/0.46 a302 = $i!val!22). % 0.20/0.46 tff(formula81, axiom, % 0.20/0.46 a347 = $i!val!16). % 0.20/0.46 tff(formula82, axiom, % 0.20/0.46 hskp8 <=> $true). % 0.20/0.46 tff(formula83, axiom, % 0.20/0.46 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!24) | (k!0(X0) = $i!val!26) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!23) | (k!0(X0) = $i!val!22) | (k!0(X0) = $i!val!29)))). % 0.20/0.46 tff(formula84, axiom, % 0.20/0.46 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!27) | (k!0(X0) = $i!val!30) | (k!0(X0) = $i!val!26) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!21) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!25) | (k!0(X0) = $i!val!23) | (k!0(X0) = $i!val!20)))). % 0.20/0.46 tff(formula85, axiom, % 0.20/0.46 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!24) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!23) | (k!0(X0) = $i!val!22) | (k!0(X0) = $i!val!29)))). % 0.20/0.46 tff(formula86, axiom, % 0.20/0.46 k!0($i!val!24) = $i!val!24). % 0.20/0.46 tff(formula87, axiom, % 0.20/0.46 k!0($i!val!8) = $i!val!8). % 0.20/0.46 tff(formula88, axiom, % 0.20/0.46 k!0($i!val!0) = $i!val!0). % 0.20/0.46 tff(formula89, axiom, % 0.20/0.46 k!0($i!val!18) = $i!val!18). % 0.20/0.46 tff(formula90, axiom, % 0.20/0.46 k!0($i!val!21) = $i!val!21). % 0.20/0.46 tff(formula91, axiom, % 0.20/0.46 k!0($i!val!3) = $i!val!3). % 0.20/0.46 tff(formula92, axiom, % 0.20/0.46 k!0($i!val!5) = $i!val!5). % 0.20/0.46 tff(formula93, axiom, % 0.20/0.46 k!0($i!val!15) = $i!val!15). % 0.20/0.46 tff(formula94, axiom, % 0.20/0.46 k!0($i!val!23) = $i!val!23). % 0.20/0.46 tff(formula95, axiom, % 0.20/0.46 k!0($i!val!25) = $i!val!25). % 0.20/0.46 tff(formula96, axiom, % 0.20/0.46 k!0($i!val!13) = $i!val!13). % 0.20/0.46 tff(formula97, axiom, % 0.20/0.46 k!0($i!val!26) = $i!val!26). % 0.20/0.46 tff(formula98, axiom, % 0.20/0.46 k!0($i!val!2) = $i!val!2). % 0.20/0.46 tff(formula99, axiom, % 0.20/0.46 k!0($i!val!11) = $i!val!11). % 0.20/0.46 tff(formula100, axiom, % 0.20/0.46 k!0($i!val!9) = $i!val!9). % 0.20/0.46 tff(formula101, axiom, % 0.20/0.46 k!0($i!val!17) = $i!val!17). % 0.20/0.46 tff(formula102, axiom, % 0.20/0.46 k!0($i!val!28) = $i!val!28). % 0.20/0.46 tff(formula103, axiom, % 0.20/0.46 k!0($i!val!27) = $i!val!27). % 0.20/0.46 tff(formula104, axiom, % 0.20/0.46 k!0($i!val!20) = $i!val!20). % 0.20/0.46 tff(formula105, axiom, % 0.20/0.46 k!0($i!val!19) = $i!val!19). % 0.20/0.46 tff(formula106, axiom, % 0.20/0.46 k!0($i!val!4) = $i!val!4). % 0.20/0.46 tff(formula107, axiom, % 0.20/0.46 k!0($i!val!14) = $i!val!14). % 0.20/0.46 tff(formula108, axiom, % 0.20/0.46 k!0($i!val!10) = $i!val!10). % 0.20/0.46 tff(formula109, axiom, % 0.20/0.46 k!0($i!val!30) = $i!val!30). % 0.20/0.46 tff(formula110, axiom, % 0.20/0.46 k!0($i!val!12) = $i!val!12). % 0.20/0.46 tff(formula111, axiom, % 0.20/0.46 k!0($i!val!1) = $i!val!1). % 0.20/0.46 tff(formula112, axiom, % 0.20/0.46 k!0($i!val!6) = $i!val!6). % 0.20/0.46 tff(formula113, axiom, % 0.20/0.46 k!0($i!val!7) = $i!val!7). % 0.20/0.46 tff(formula114, axiom, % 0.20/0.46 k!0($i!val!22) = $i!val!22). % 0.20/0.46 tff(formula115, axiom, % 0.20/0.46 k!0($i!val!16) = $i!val!16). % 0.20/0.46 tff(formula116, axiom, % 0.20/0.46 ![X0: $i] : ((~((($i!val!24 = X0)) | (($i!val!8 = X0)) | (($i!val!0 = X0)) | (($i!val!18 = X0)) | (($i!val!21 = X0)) | (($i!val!3 = X0)) | (($i!val!5 = X0)) | (($i!val!15 = X0)) | (($i!val!23 = X0)) | (($i!val!25 = X0)) | (($i!val!13 = X0)) | (($i!val!26 = X0)) | (($i!val!2 = X0)) | (($i!val!11 = X0)) | (($i!val!9 = X0)) | (($i!val!17 = X0)) | (($i!val!28 = X0)) | (($i!val!27 = X0)) | (($i!val!20 = X0)) | (($i!val!19 = X0)) | (($i!val!4 = X0)) | (($i!val!14 = X0)) | (($i!val!10 = X0)) | (($i!val!30 = X0)) | (($i!val!12 = X0)) | (($i!val!1 = X0)) | (($i!val!6 = X0)) | (($i!val!7 = X0)) | (($i!val!22 = X0)) | (($i!val!16 = X0)))) => (k!0(X0) = $i!val!29))). % 0.20/0.46 tff(formula117, axiom, % 0.20/0.46 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!27) | (k!0(X0) = $i!val!30) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!25) | (k!0(X0) = $i!val!23) | (k!0(X0) = $i!val!22) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!29) | (k!0(X0) = $i!val!28)))). % 0.20/0.46 % SZS output end Model % 0.20/0.46 % E exiting %------------------------------------------------------------------------------