%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN546+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n007.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 : CounterSatisfiable 3.91s 4.07s % Output : Model 3.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN546+1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.11 % Command : run_E %s %d THM % 0.12/0.32 % Computer : n007.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Fri Jun 20 12:39:20 EDT 2025 % 0.12/0.33 % CPUTime : % 3.91/4.07 % SZS status CounterSatisfiable % 3.91/4.07 % SZS output start Model % 3.91/4.07 tff(tptp_fun__i_val_3_type, type, ( % 3.91/4.07 tptp_fun__i_val_3: $i)). % 3.91/4.07 tff(a305_type, type, ( % 3.91/4.07 a305: $i)). % 3.91/4.07 tff(tptp_fun__i_val_5_type, type, ( % 3.91/4.07 tptp_fun__i_val_5: $i)). % 3.91/4.07 tff(a311_type, type, ( % 3.91/4.07 a311: $i)). % 3.91/4.07 tff(c7_0_type, type, ( % 3.91/4.07 c7_0: $o)). % 3.91/4.07 tff(tptp_fun__i_val_33_type, type, ( % 3.91/4.07 tptp_fun__i_val_33: $i)). % 3.91/4.07 tff(a415_type, type, ( % 3.91/4.07 a415: $i)). % 3.91/4.07 tff(c8_0_type, type, ( % 3.91/4.07 c8_0: $o)). % 3.91/4.07 tff(tptp_fun__i_val_12_type, type, ( % 3.91/4.07 tptp_fun__i_val_12: $i)). % 3.91/4.07 tff(a334_type, type, ( % 3.91/4.07 a334: $i)). % 3.91/4.07 tff(tptp_fun__i_val_35_type, type, ( % 3.91/4.07 tptp_fun__i_val_35: $i)). % 3.91/4.07 tff(a418_type, type, ( % 3.91/4.07 a418: $i)). % 3.91/4.07 tff(tptp_fun__i_val_29_type, type, ( % 3.91/4.07 tptp_fun__i_val_29: $i)). % 3.91/4.07 tff(a405_type, type, ( % 3.91/4.07 a405: $i)). % 3.91/4.07 tff(tptp_fun__i_val_30_type, type, ( % 3.91/4.07 tptp_fun__i_val_30: $i)). % 3.91/4.07 tff(a406_type, type, ( % 3.91/4.07 a406: $i)). % 3.91/4.07 tff(tptp_fun__i_val_51_type, type, ( % 3.91/4.07 tptp_fun__i_val_51: $i)). % 3.91/4.07 tff(a427_type, type, ( % 3.91/4.07 a427: $i)). % 3.91/4.07 tff(tptp_fun__i_val_56_type, type, ( % 3.91/4.07 tptp_fun__i_val_56: $i)). % 3.91/4.07 tff(a368_type, type, ( % 3.91/4.07 a368: $i)). % 3.91/4.07 tff(tptp_fun__i_val_6_type, type, ( % 3.91/4.07 tptp_fun__i_val_6: $i)). % 3.91/4.07 tff(a312_type, type, ( % 3.91/4.07 a312: $i)). % 3.91/4.07 tff(tptp_fun__i_val_21_type, type, ( % 3.91/4.07 tptp_fun__i_val_21: $i)). % 3.91/4.07 tff(a379_type, type, ( % 3.91/4.07 a379: $i)). % 3.91/4.07 tff(tptp_fun__i_val_41_type, type, ( % 3.91/4.07 tptp_fun__i_val_41: $i)). % 3.91/4.07 tff(a453_type, type, ( % 3.91/4.07 a453: $i)). % 3.91/4.07 tff(tptp_fun__i_val_2_type, type, ( % 3.91/4.07 tptp_fun__i_val_2: $i)). % 3.91/4.07 tff(a304_type, type, ( % 3.91/4.07 a304: $i)). % 3.91/4.07 tff(c1_0_type, type, ( % 3.91/4.07 c1_0: $o)). % 3.91/4.07 tff(tptp_fun__i_val_22_type, type, ( % 3.91/4.07 tptp_fun__i_val_22: $i)). % 3.91/4.07 tff(a384_type, type, ( % 3.91/4.07 a384: $i)). % 3.91/4.07 tff(tptp_fun__i_val_54_type, type, ( % 3.91/4.07 tptp_fun__i_val_54: $i)). % 3.91/4.07 tff(a320_type, type, ( % 3.91/4.07 a320: $i)). % 3.91/4.07 tff(tptp_fun__i_val_31_type, type, ( % 3.91/4.07 tptp_fun__i_val_31: $i)). % 3.91/4.07 tff(a407_type, type, ( % 3.91/4.07 a407: $i)). % 3.91/4.07 tff(tptp_fun__i_val_49_type, type, ( % 3.91/4.07 tptp_fun__i_val_49: $i)). % 3.91/4.07 tff(a364_type, type, ( % 3.91/4.07 a364: $i)). % 3.91/4.07 tff(tptp_fun__i_val_9_type, type, ( % 3.91/4.07 tptp_fun__i_val_9: $i)). % 3.91/4.07 tff(a322_type, type, ( % 3.91/4.07 a322: $i)). % 3.91/4.07 tff(tptp_fun__i_val_27_type, type, ( % 3.91/4.07 tptp_fun__i_val_27: $i)). % 3.91/4.07 tff(a400_type, type, ( % 3.91/4.07 a400: $i)). % 3.91/4.07 tff(tptp_fun__i_val_0_type, type, ( % 3.91/4.07 tptp_fun__i_val_0: $i)). % 3.91/4.07 tff(a300_type, type, ( % 3.91/4.07 a300: $i)). % 3.91/4.07 tff(c4_0_type, type, ( % 3.91/4.07 c4_0: $o)). % 3.91/4.07 tff(tptp_fun__i_val_39_type, type, ( % 3.91/4.07 tptp_fun__i_val_39: $i)). % 3.91/4.07 tff(a436_type, type, ( % 3.91/4.07 a436: $i)). % 3.91/4.07 tff(tptp_fun__i_val_19_type, type, ( % 3.91/4.07 tptp_fun__i_val_19: $i)). % 3.91/4.07 tff(a363_type, type, ( % 3.91/4.07 a363: $i)). % 3.91/4.07 tff(tptp_fun__i_val_13_type, type, ( % 3.91/4.07 tptp_fun__i_val_13: $i)). % 3.91/4.07 tff(a336_type, type, ( % 3.91/4.07 a336: $i)). % 3.91/4.07 tff(tptp_fun__i_val_14_type, type, ( % 3.91/4.07 tptp_fun__i_val_14: $i)). % 3.91/4.07 tff(a339_type, type, ( % 3.91/4.07 a339: $i)). % 3.91/4.07 tff(c2_0_type, type, ( % 3.91/4.07 c2_0: $o)). % 3.91/4.07 tff(c6_0_type, type, ( % 3.91/4.07 c6_0: $o)). % 3.91/4.07 tff(tptp_fun__i_val_11_type, type, ( % 3.91/4.07 tptp_fun__i_val_11: $i)). % 3.91/4.07 tff(a329_type, type, ( % 3.91/4.07 a329: $i)). % 3.91/4.07 tff(tptp_fun__i_val_1_type, type, ( % 3.91/4.07 tptp_fun__i_val_1: $i)). % 3.91/4.07 tff(a301_type, type, ( % 3.91/4.07 a301: $i)). % 3.91/4.07 tff(tptp_fun__i_val_23_type, type, ( % 3.91/4.07 tptp_fun__i_val_23: $i)). % 3.91/4.07 tff(a385_type, type, ( % 3.91/4.07 a385: $i)). % 3.91/4.07 tff(tptp_fun__i_val_25_type, type, ( % 3.91/4.07 tptp_fun__i_val_25: $i)). % 3.91/4.07 tff(a388_type, type, ( % 3.91/4.07 a388: $i)). % 3.91/4.07 tff(tptp_fun__i_val_15_type, type, ( % 3.91/4.07 tptp_fun__i_val_15: $i)). % 3.91/4.07 tff(a342_type, type, ( % 3.91/4.07 a342: $i)). % 3.91/4.07 tff(tptp_fun__i_val_4_type, type, ( % 3.91/4.07 tptp_fun__i_val_4: $i)). % 3.91/4.07 tff(a309_type, type, ( % 3.91/4.07 a309: $i)). % 3.91/4.07 tff(tptp_fun__i_val_8_type, type, ( % 3.91/4.07 tptp_fun__i_val_8: $i)). % 3.91/4.07 tff(a315_type, type, ( % 3.91/4.07 a315: $i)). % 3.91/4.07 tff(tptp_fun__i_val_36_type, type, ( % 3.91/4.07 tptp_fun__i_val_36: $i)). % 3.91/4.07 tff(a422_type, type, ( % 3.91/4.07 a422: $i)). % 3.91/4.07 tff(tptp_fun__i_val_37_type, type, ( % 3.91/4.07 tptp_fun__i_val_37: $i)). % 3.91/4.07 tff(a425_type, type, ( % 3.91/4.07 a425: $i)). % 3.91/4.07 tff(tptp_fun__i_val_44_type, type, ( % 3.91/4.07 tptp_fun__i_val_44: $i)). % 3.91/4.07 tff(a404_type, type, ( % 3.91/4.07 a404: $i)). % 3.91/4.07 tff(tptp_fun__i_val_32_type, type, ( % 3.91/4.07 tptp_fun__i_val_32: $i)). % 3.91/4.07 tff(a413_type, type, ( % 3.91/4.07 a413: $i)). % 3.91/4.07 tff(tptp_fun__i_val_45_type, type, ( % 3.91/4.07 tptp_fun__i_val_45: $i)). % 3.91/4.07 tff(a372_type, type, ( % 3.91/4.07 a372: $i)). % 3.91/4.07 tff(ndr1_0_type, type, ( % 3.91/4.07 ndr1_0: $o)). % 3.91/4.07 tff(c3_0_type, type, ( % 3.91/4.07 c3_0: $o)). % 3.91/4.07 tff(tptp_fun__i_val_24_type, type, ( % 3.91/4.07 tptp_fun__i_val_24: $i)). % 3.91/4.07 tff(a387_type, type, ( % 3.91/4.07 a387: $i)). % 3.91/4.07 tff(tptp_fun__i_val_20_type, type, ( % 3.91/4.07 tptp_fun__i_val_20: $i)). % 3.91/4.07 tff(a369_type, type, ( % 3.91/4.07 a369: $i)). % 3.91/4.07 tff(tptp_fun__i_val_47_type, type, ( % 3.91/4.07 tptp_fun__i_val_47: $i)). % 3.91/4.07 tff(a350_type, type, ( % 3.91/4.07 a350: $i)). % 3.91/4.07 tff(tptp_fun__i_val_48_type, type, ( % 3.91/4.07 tptp_fun__i_val_48: $i)). % 3.91/4.07 tff(a360_type, type, ( % 3.91/4.07 a360: $i)). % 3.91/4.07 tff(tptp_fun__i_val_50_type, type, ( % 3.91/4.07 tptp_fun__i_val_50: $i)). % 3.91/4.07 tff(a359_type, type, ( % 3.91/4.07 a359: $i)). % 3.91/4.07 tff(tptp_fun__i_val_52_type, type, ( % 3.91/4.07 tptp_fun__i_val_52: $i)). % 3.91/4.07 tff(a318_type, type, ( % 3.91/4.07 a318: $i)). % 3.91/4.07 tff(tptp_fun__i_val_10_type, type, ( % 3.91/4.07 tptp_fun__i_val_10: $i)). % 3.91/4.07 tff(a328_type, type, ( % 3.91/4.07 a328: $i)). % 3.91/4.07 tff(tptp_fun__i_val_26_type, type, ( % 3.91/4.07 tptp_fun__i_val_26: $i)). % 3.91/4.07 tff(a393_type, type, ( % 3.91/4.07 a393: $i)). % 3.91/4.07 tff(tptp_fun__i_val_7_type, type, ( % 3.91/4.07 tptp_fun__i_val_7: $i)). % 3.91/4.07 tff(a313_type, type, ( % 3.91/4.07 a313: $i)). % 3.91/4.07 tff(tptp_fun__i_val_34_type, type, ( % 3.91/4.07 tptp_fun__i_val_34: $i)). % 3.91/4.07 tff(a417_type, type, ( % 3.91/4.07 a417: $i)). % 3.91/4.07 tff(tptp_fun__i_val_28_type, type, ( % 3.91/4.07 tptp_fun__i_val_28: $i)). % 3.91/4.07 tff(a402_type, type, ( % 3.91/4.07 a402: $i)). % 3.91/4.07 tff(tptp_fun__i_val_40_type, type, ( % 3.91/4.07 tptp_fun__i_val_40: $i)). % 3.91/4.07 tff(a441_type, type, ( % 3.91/4.07 a441: $i)). % 3.91/4.07 tff(tptp_fun__i_val_42_type, type, ( % 3.91/4.07 tptp_fun__i_val_42: $i)). % 3.91/4.07 tff(a389_type, type, ( % 3.91/4.07 a389: $i)). % 3.91/4.07 tff(c5_0_type, type, ( % 3.91/4.07 c5_0: $o)). % 3.91/4.07 tff(tptp_fun__i_val_17_type, type, ( % 3.91/4.07 tptp_fun__i_val_17: $i)). % 3.91/4.07 tff(a356_type, type, ( % 3.91/4.07 a356: $i)). % 3.91/4.07 tff(tptp_fun__i_val_46_type, type, ( % 3.91/4.07 tptp_fun__i_val_46: $i)). % 3.91/4.07 tff(a432_type, type, ( % 3.91/4.07 a432: $i)). % 3.91/4.07 tff(tptp_fun__i_val_53_type, type, ( % 3.91/4.07 tptp_fun__i_val_53: $i)). % 3.91/4.07 tff(a367_type, type, ( % 3.91/4.07 a367: $i)). % 3.91/4.07 tff(tptp_fun__i_val_18_type, type, ( % 3.91/4.07 tptp_fun__i_val_18: $i)). % 3.91/4.07 tff(a362_type, type, ( % 3.91/4.07 a362: $i)). % 3.91/4.07 tff(tptp_fun__i_val_55_type, type, ( % 3.91/4.07 tptp_fun__i_val_55: $i)). % 3.91/4.07 tff(a434_type, type, ( % 3.91/4.07 a434: $i)). % 3.91/4.07 tff(tptp_fun__i_val_38_type, type, ( % 3.91/4.07 tptp_fun__i_val_38: $i)). % 3.91/4.07 tff(a426_type, type, ( % 3.91/4.07 a426: $i)). % 3.91/4.07 tff(tptp_fun__i_val_43_type, type, ( % 3.91/4.07 tptp_fun__i_val_43: $i)). % 3.91/4.07 tff(a433_type, type, ( % 3.91/4.07 a433: $i)). % 3.91/4.07 tff(tptp_fun__i_val_16_type, type, ( % 3.91/4.07 tptp_fun__i_val_16: $i)). % 3.91/4.07 tff(a355_type, type, ( % 3.91/4.07 a355: $i)). % 3.91/4.07 tff(k!2656_type, type, ( % 3.91/4.07 k!2656: $i > $i)). % 3.91/4.07 tff(ndr1_1_type, type, ( % 3.91/4.07 ndr1_1: $i > $o)). % 3.91/4.07 tff(k!2655_type, type, ( % 3.91/4.07 k!2655: $i > $i)). % 3.91/4.07 tff(c7_2_type, type, ( % 3.91/4.07 c7_2: ( $i * $i ) > $o)). % 3.91/4.07 tff(c5_1_type, type, ( % 3.91/4.07 c5_1: $i > $o)). % 3.91/4.07 tff(c2_1_type, type, ( % 3.91/4.07 c2_1: $i > $o)). % 3.91/4.07 tff(c3_1_type, type, ( % 3.91/4.07 c3_1: $i > $o)). % 3.91/4.07 tff(c1_2_type, type, ( % 3.91/4.07 c1_2: ( $i * $i ) > $o)). % 3.91/4.07 tff(c4_1_type, type, ( % 3.91/4.07 c4_1: $i > $o)). % 3.91/4.07 tff(c1_1_type, type, ( % 3.91/4.07 c1_1: $i > $o)). % 3.91/4.07 tff(c3_2_type, type, ( % 3.91/4.07 c3_2: ( $i * $i ) > $o)). % 3.91/4.07 tff(c4_2_type, type, ( % 3.91/4.07 c4_2: ( $i * $i ) > $o)). % 3.91/4.07 tff(c7_1_type, type, ( % 3.91/4.07 c7_1: $i > $o)). % 3.91/4.07 tff(c5_2_type, type, ( % 3.91/4.07 c5_2: ( $i * $i ) > $o)). % 3.91/4.07 tff(c8_2_type, type, ( % 3.91/4.07 c8_2: ( $i * $i ) > $o)). % 3.91/4.07 tff(c6_1_type, type, ( % 3.91/4.07 c6_1: $i > $o)). % 3.91/4.07 tff(c6_2_type, type, ( % 3.91/4.07 c6_2: ( $i * $i ) > $o)). % 3.91/4.07 tff(c2_2_type, type, ( % 3.91/4.07 c2_2: ( $i * $i ) > $o)). % 3.91/4.07 tff(c8_1_type, type, ( % 3.91/4.07 c8_1: $i > $o)). % 3.91/4.07 tff(formula1, axiom, % 3.91/4.07 a305 = $i!val!3). % 3.91/4.07 tff(formula2, axiom, % 3.91/4.07 a311 = $i!val!5). % 3.91/4.07 tff(formula3, axiom, % 3.91/4.07 c7_0 <=> $true). % 3.91/4.07 tff(formula4, axiom, % 3.91/4.07 a415 = $i!val!33). % 3.91/4.07 tff(formula5, axiom, % 3.91/4.07 c8_0 <=> $true). % 3.91/4.07 tff(formula6, axiom, % 3.91/4.07 a334 = $i!val!12). % 3.91/4.07 tff(formula7, axiom, % 3.91/4.07 a418 = $i!val!35). % 3.91/4.07 tff(formula8, axiom, % 3.91/4.07 a405 = $i!val!29). % 3.91/4.07 tff(formula9, axiom, % 3.91/4.07 a406 = $i!val!30). % 3.91/4.07 tff(formula10, axiom, % 3.91/4.07 a427 = $i!val!51). % 3.91/4.07 tff(formula11, axiom, % 3.91/4.07 a368 = $i!val!56). % 3.91/4.07 tff(formula12, axiom, % 3.91/4.07 a312 = $i!val!6). % 3.91/4.07 tff(formula13, axiom, % 3.91/4.07 a379 = $i!val!21). % 3.91/4.07 tff(formula14, axiom, % 3.91/4.07 a453 = $i!val!41). % 3.91/4.07 tff(formula15, axiom, % 3.91/4.07 a304 = $i!val!2). % 3.91/4.07 tff(formula16, axiom, % 3.91/4.07 c1_0 <=> $true). % 3.91/4.07 tff(formula17, axiom, % 3.91/4.07 a384 = $i!val!22). % 3.91/4.07 tff(formula18, axiom, % 3.91/4.07 a320 = $i!val!54). % 3.91/4.07 tff(formula19, axiom, % 3.91/4.07 a407 = $i!val!31). % 3.91/4.07 tff(formula20, axiom, % 3.91/4.07 a364 = $i!val!49). % 3.91/4.07 tff(formula21, axiom, % 3.91/4.07 a322 = $i!val!9). % 3.91/4.07 tff(formula22, axiom, % 3.91/4.07 a400 = $i!val!27). % 3.91/4.07 tff(formula23, axiom, % 3.91/4.07 a300 = $i!val!0). % 3.91/4.07 tff(formula24, axiom, % 3.91/4.07 c4_0 <=> $true). % 3.91/4.07 tff(formula25, axiom, % 3.91/4.07 a436 = $i!val!39). % 3.91/4.07 tff(formula26, axiom, % 3.91/4.07 a363 = $i!val!19). % 3.91/4.07 tff(formula27, axiom, % 3.91/4.07 a336 = $i!val!13). % 3.91/4.07 tff(formula28, axiom, % 3.91/4.07 a339 = $i!val!14). % 3.91/4.07 tff(formula29, axiom, % 3.91/4.07 c2_0 <=> $true). % 3.91/4.07 tff(formula30, axiom, % 3.91/4.07 c6_0 <=> $false). % 3.91/4.07 tff(formula31, axiom, % 3.91/4.07 a329 = $i!val!11). % 3.91/4.07 tff(formula32, axiom, % 3.91/4.07 a301 = $i!val!1). % 3.91/4.07 tff(formula33, axiom, % 3.91/4.07 a385 = $i!val!23). % 3.91/4.07 tff(formula34, axiom, % 3.91/4.07 a388 = $i!val!25). % 3.91/4.07 tff(formula35, axiom, % 3.91/4.07 a342 = $i!val!15). % 3.91/4.07 tff(formula36, axiom, % 3.91/4.07 a309 = $i!val!4). % 3.91/4.07 tff(formula37, axiom, % 3.91/4.07 a315 = $i!val!8). % 3.91/4.07 tff(formula38, axiom, % 3.91/4.07 a422 = $i!val!36). % 3.91/4.07 tff(formula39, axiom, % 3.91/4.07 a425 = $i!val!37). % 3.91/4.07 tff(formula40, axiom, % 3.91/4.07 a404 = $i!val!44). % 3.91/4.07 tff(formula41, axiom, % 3.91/4.07 a413 = $i!val!32). % 3.91/4.07 tff(formula42, axiom, % 3.91/4.07 a372 = $i!val!45). % 3.91/4.07 tff(formula43, axiom, % 3.91/4.07 ndr1_0 <=> $true). % 3.91/4.07 tff(formula44, axiom, % 3.91/4.07 c3_0 <=> $false). % 3.91/4.07 tff(formula45, axiom, % 3.91/4.07 a387 = $i!val!24). % 3.91/4.07 tff(formula46, axiom, % 3.91/4.07 a369 = $i!val!20). % 3.91/4.07 tff(formula47, axiom, % 3.91/4.07 a350 = $i!val!47). % 3.91/4.07 tff(formula48, axiom, % 3.91/4.07 a360 = $i!val!48). % 3.91/4.07 tff(formula49, axiom, % 3.91/4.07 a359 = $i!val!50). % 3.91/4.07 tff(formula50, axiom, % 3.91/4.07 a318 = $i!val!52). % 3.91/4.07 tff(formula51, axiom, % 3.91/4.07 a328 = $i!val!10). % 3.91/4.07 tff(formula52, axiom, % 3.91/4.07 a393 = $i!val!26). % 3.91/4.07 tff(formula53, axiom, % 3.91/4.07 a313 = $i!val!7). % 3.91/4.07 tff(formula54, axiom, % 3.91/4.07 a417 = $i!val!34). % 3.91/4.07 tff(formula55, axiom, % 3.91/4.07 a402 = $i!val!28). % 3.91/4.07 tff(formula56, axiom, % 3.91/4.07 a441 = $i!val!40). % 3.91/4.07 tff(formula57, axiom, % 3.91/4.07 a389 = $i!val!42). % 3.91/4.07 tff(formula58, axiom, % 3.91/4.07 c5_0 <=> $false). % 3.91/4.07 tff(formula59, axiom, % 3.91/4.07 a356 = $i!val!17). % 3.91/4.07 tff(formula60, axiom, % 3.91/4.07 a432 = $i!val!46). % 3.91/4.07 tff(formula61, axiom, % 3.91/4.07 a367 = $i!val!53). % 3.91/4.07 tff(formula62, axiom, % 3.91/4.07 a362 = $i!val!18). % 3.91/4.07 tff(formula63, axiom, % 3.91/4.07 a434 = $i!val!55). % 3.91/4.07 tff(formula64, axiom, % 3.91/4.07 a426 = $i!val!38). % 3.91/4.07 tff(formula65, axiom, % 3.91/4.07 a433 = $i!val!43). % 3.91/4.07 tff(formula66, axiom, % 3.91/4.07 a355 = $i!val!16). % 3.91/4.07 tff(formula67, axiom, % 3.91/4.07 ![X0: $i] : (ndr1_1(X0) <=> ((k!2656(X0) = $i!val!2) | (k!2656(X0) = $i!val!34) | (k!2656(X0) = $i!val!13) | (k!2656(X0) = $i!val!29) | (k!2656(X0) = $i!val!37) | (k!2656(X0) = $i!val!5) | (k!2656(X0) = $i!val!0) | (k!2656(X0) = $i!val!24) | (k!2656(X0) = $i!val!18) | (k!2656(X0) = $i!val!16) | (k!2656(X0) = $i!val!10)))). % 3.91/4.07 tff(formula68, axiom, % 3.91/4.07 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!52)) | ((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!52)) | ((k!2656(X1) = $i!val!37) & (k!2655(X0) = $i!val!52)) | ((k!2656(X1) = $i!val!34) & (k!2655(X0) = $i!val!52)) | ((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!52)) | ((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!52)) | ((k!2656(X1) = $i!val!0) & (k!2655(X0) = $i!val!52)) | ((k!2656(X1) = $i!val!29) & (k!2655(X0) = $i!val!30)) | ((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!25)) | ((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!52)) | ((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!52))))). % 3.91/4.07 tff(formula69, axiom, % 3.91/4.07 ![X0: $i] : (c5_1(X0) <=> ((k!2656(X0) = $i!val!34) | (k!2656(X0) = $i!val!40) | (k!2656(X0) = $i!val!13) | (k!2656(X0) = $i!val!27) | (k!2656(X0) = $i!val!18)))). % 3.91/4.07 tff(formula70, axiom, % 3.91/4.07 k!2655($i!val!25) = $i!val!25). % 3.91/4.07 tff(formula71, axiom, % 3.91/4.07 k!2655($i!val!50) = $i!val!50). % 3.91/4.07 tff(formula72, axiom, % 3.91/4.07 k!2655($i!val!11) = $i!val!11). % 3.91/4.07 tff(formula73, axiom, % 3.91/4.07 k!2655($i!val!33) = $i!val!33). % 3.91/4.07 tff(formula74, axiom, % 3.91/4.07 k!2655($i!val!1) = $i!val!1). % 3.91/4.07 tff(formula75, axiom, % 3.91/4.07 k!2655($i!val!44) = $i!val!44). % 3.91/4.07 tff(formula76, axiom, % 3.91/4.07 k!2655($i!val!35) = $i!val!35). % 3.91/4.07 tff(formula77, axiom, % 3.91/4.07 k!2655($i!val!45) = $i!val!45). % 3.91/4.07 tff(formula78, axiom, % 3.91/4.07 k!2655($i!val!30) = $i!val!30). % 3.91/4.07 tff(formula79, axiom, % 3.91/4.07 k!2655($i!val!48) = $i!val!48). % 3.91/4.07 tff(formula80, axiom, % 3.91/4.07 k!2655($i!val!51) = $i!val!51). % 3.91/4.07 tff(formula81, axiom, % 3.91/4.07 k!2655($i!val!56) = $i!val!56). % 3.91/4.07 tff(formula82, axiom, % 3.91/4.07 k!2655($i!val!52) = $i!val!52). % 3.91/4.07 tff(formula83, axiom, % 3.91/4.07 k!2655($i!val!6) = $i!val!6). % 3.91/4.07 tff(formula84, axiom, % 3.91/4.07 k!2655($i!val!7) = $i!val!7). % 3.91/4.07 tff(formula85, axiom, % 3.91/4.07 k!2655($i!val!54) = $i!val!54). % 3.91/4.07 tff(formula86, axiom, % 3.91/4.07 k!2655($i!val!49) = $i!val!49). % 3.91/4.07 tff(formula87, axiom, % 3.91/4.07 k!2655($i!val!31) = $i!val!31). % 3.91/4.07 tff(formula88, axiom, % 3.91/4.07 k!2655($i!val!9) = $i!val!9). % 3.91/4.07 tff(formula89, axiom, % 3.91/4.07 k!2655($i!val!42) = $i!val!42). % 3.91/4.07 tff(formula90, axiom, % 3.91/4.07 k!2655($i!val!17) = $i!val!17). % 3.91/4.07 tff(formula91, axiom, % 3.91/4.07 k!2655($i!val!46) = $i!val!46). % 3.91/4.07 tff(formula92, axiom, % 3.91/4.07 k!2655($i!val!53) = $i!val!53). % 3.91/4.07 tff(formula93, axiom, % 3.91/4.07 k!2655($i!val!55) = $i!val!55). % 3.91/4.07 tff(formula94, axiom, % 3.91/4.07 k!2655($i!val!43) = $i!val!43). % 3.91/4.07 tff(formula95, axiom, % 3.91/4.07 k!2655($i!val!38) = $i!val!38). % 3.91/4.07 tff(formula96, axiom, % 3.91/4.07 ![X0: $i] : ((~((($i!val!25 = X0)) | (($i!val!50 = X0)) | (($i!val!11 = X0)) | (($i!val!33 = X0)) | (($i!val!1 = X0)) | (($i!val!44 = X0)) | (($i!val!35 = X0)) | (($i!val!45 = X0)) | (($i!val!30 = X0)) | (($i!val!48 = X0)) | (($i!val!51 = X0)) | (($i!val!56 = X0)) | (($i!val!52 = X0)) | (($i!val!6 = X0)) | (($i!val!7 = X0)) | (($i!val!54 = X0)) | (($i!val!49 = X0)) | (($i!val!31 = X0)) | (($i!val!9 = X0)) | (($i!val!42 = X0)) | (($i!val!17 = X0)) | (($i!val!46 = X0)) | (($i!val!53 = X0)) | (($i!val!55 = X0)) | (($i!val!43 = X0)) | (($i!val!38 = X0)))) => (k!2655(X0) = $i!val!19))). % 3.91/4.07 tff(formula97, axiom, % 3.91/4.07 ![X0: $i] : (c2_1(X0) <=> ((k!2656(X0) = $i!val!40) | (k!2656(X0) = $i!val!13) | (k!2656(X0) = $i!val!29) | (k!2656(X0) = $i!val!15) | (k!2656(X0) = $i!val!0) | (k!2656(X0) = $i!val!32) | (k!2656(X0) = $i!val!22) | (k!2656(X0) = $i!val!47)))). % 3.91/4.07 tff(formula98, axiom, % 3.91/4.07 ![X0: $i] : (c3_1(X0) <=> $true)). % 3.91/4.07 tff(formula99, axiom, % 3.91/4.07 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!44)) | ((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!44)) | ((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!37) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!37) & (k!2655(X0) = $i!val!44)) | ((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!6)) | ((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!44)) | ((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!0) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!54)) | ((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!54)) | ((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!17)) | ((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!44)) | ((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!54)) | ((k!2656(X1) = $i!val!34) & (k!2655(X0) = $i!val!44)) | ((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!48)) | ((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!29) & (k!2655(X0) = $i!val!54)) | ((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!48))))). % 3.91/4.07 tff(formula100, axiom, % 3.91/4.07 ![X0: $i] : (c4_1(X0) <=> ((~(k!2656(X0) = $i!val!37)) & (~(k!2656(X0) = $i!val!10))))). % 3.91/4.07 tff(formula101, axiom, % 3.91/4.07 ![X0: $i] : (c1_1(X0) <=> ((k!2656(X0) = $i!val!40) | (k!2656(X0) = $i!val!24) | (k!2656(X0) = $i!val!32)))). % 3.91/4.07 tff(formula102, axiom, % 3.91/4.07 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((~((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!44))) & (~((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!44))) & (~((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!44))) & (~((k!2656(X1) = $i!val!37) & (k!2655(X0) = $i!val!44))) & (~((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!55))) & (~((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!55))) & (~((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!44))) & (~((k!2656(X1) = $i!val!34) & (k!2655(X0) = $i!val!44))) & (~((k!2656(X1) = $i!val!34) & (k!2655(X0) = $i!val!35)))))). % 3.91/4.07 tff(formula103, axiom, % 3.91/4.07 k!2656($i!val!3) = $i!val!3). % 3.91/4.07 tff(formula104, axiom, % 3.91/4.07 k!2656($i!val!5) = $i!val!5). % 3.91/4.07 tff(formula105, axiom, % 3.91/4.07 k!2656($i!val!14) = $i!val!14). % 3.91/4.07 tff(formula106, axiom, % 3.91/4.07 k!2656($i!val!23) = $i!val!23). % 3.91/4.07 tff(formula107, axiom, % 3.91/4.07 k!2656($i!val!36) = $i!val!36). % 3.91/4.07 tff(formula108, axiom, % 3.91/4.07 k!2656($i!val!12) = $i!val!12). % 3.91/4.07 tff(formula109, axiom, % 3.91/4.07 k!2656($i!val!15) = $i!val!15). % 3.91/4.07 tff(formula110, axiom, % 3.91/4.07 k!2656($i!val!29) = $i!val!29). % 3.91/4.07 tff(formula111, axiom, % 3.91/4.07 k!2656($i!val!37) = $i!val!37). % 3.91/4.07 tff(formula112, axiom, % 3.91/4.07 k!2656($i!val!4) = $i!val!4). % 3.91/4.07 tff(formula113, axiom, % 3.91/4.07 k!2656($i!val!8) = $i!val!8). % 3.91/4.07 tff(formula114, axiom, % 3.91/4.07 k!2656($i!val!32) = $i!val!32). % 3.91/4.07 tff(formula115, axiom, % 3.91/4.07 k!2656($i!val!24) = $i!val!24). % 3.91/4.07 tff(formula116, axiom, % 3.91/4.07 k!2656($i!val!47) = $i!val!47). % 3.91/4.07 tff(formula117, axiom, % 3.91/4.07 k!2656($i!val!20) = $i!val!20). % 3.91/4.07 tff(formula118, axiom, % 3.91/4.07 k!2656($i!val!21) = $i!val!21). % 3.91/4.07 tff(formula119, axiom, % 3.91/4.07 k!2656($i!val!10) = $i!val!10). % 3.91/4.07 tff(formula120, axiom, % 3.91/4.07 k!2656($i!val!2) = $i!val!2). % 3.91/4.07 tff(formula121, axiom, % 3.91/4.07 k!2656($i!val!41) = $i!val!41). % 3.91/4.07 tff(formula122, axiom, % 3.91/4.07 k!2656($i!val!26) = $i!val!26). % 3.91/4.07 tff(formula123, axiom, % 3.91/4.07 k!2656($i!val!34) = $i!val!34). % 3.91/4.07 tff(formula124, axiom, % 3.91/4.07 k!2656($i!val!22) = $i!val!22). % 3.91/4.07 tff(formula125, axiom, % 3.91/4.07 k!2656($i!val!28) = $i!val!28). % 3.91/4.07 tff(formula126, axiom, % 3.91/4.07 k!2656($i!val!40) = $i!val!40). % 3.91/4.07 tff(formula127, axiom, % 3.91/4.07 k!2656($i!val!27) = $i!val!27). % 3.91/4.07 tff(formula128, axiom, % 3.91/4.07 k!2656($i!val!0) = $i!val!0). % 3.91/4.07 tff(formula129, axiom, % 3.91/4.07 k!2656($i!val!18) = $i!val!18). % 3.91/4.07 tff(formula130, axiom, % 3.91/4.07 k!2656($i!val!39) = $i!val!39). % 3.91/4.07 tff(formula131, axiom, % 3.91/4.07 k!2656($i!val!16) = $i!val!16). % 3.91/4.07 tff(formula132, axiom, % 3.91/4.07 ![X0: $i] : ((~((($i!val!3 = X0)) | (($i!val!5 = X0)) | (($i!val!14 = X0)) | (($i!val!23 = X0)) | (($i!val!36 = X0)) | (($i!val!12 = X0)) | (($i!val!15 = X0)) | (($i!val!29 = X0)) | (($i!val!37 = X0)) | (($i!val!4 = X0)) | (($i!val!8 = X0)) | (($i!val!32 = X0)) | (($i!val!24 = X0)) | (($i!val!47 = X0)) | (($i!val!20 = X0)) | (($i!val!21 = X0)) | (($i!val!10 = X0)) | (($i!val!2 = X0)) | (($i!val!41 = X0)) | (($i!val!26 = X0)) | (($i!val!34 = X0)) | (($i!val!22 = X0)) | (($i!val!28 = X0)) | (($i!val!40 = X0)) | (($i!val!27 = X0)) | (($i!val!0 = X0)) | (($i!val!18 = X0)) | (($i!val!39 = X0)) | (($i!val!16 = X0)))) => (k!2656(X0) = $i!val!13))). % 3.91/4.07 tff(formula133, axiom, % 3.91/4.07 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((~((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!48))) & (~((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!48))) & (~((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!49))) & (~((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!49))) & (~((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!48))) & (~((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!48))) & (~((k!2656(X1) = $i!val!37) & (k!2655(X0) = $i!val!50))) & (~((k!2656(X1) = $i!val!34) & (k!2655(X0) = $i!val!48))) & (~((k!2656(X1) = $i!val!29) & (k!2655(X0) = $i!val!50))) & (~((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!48))) & (~((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!48))) & (~((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!48))) & (~((k!2656(X1) = $i!val!0) & (k!2655(X0) = $i!val!48))) & (~((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!25))) & (~((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!11))) & (~((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!7))) & (~((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!6)))))). % 3.91/4.07 tff(formula134, axiom, % 3.91/4.07 ![X0: $i] : (c7_1(X0) <=> ((k!2656(X0) = $i!val!2) | (k!2656(X0) = $i!val!34) | (k!2656(X0) = $i!val!40) | (k!2656(X0) = $i!val!37) | (k!2656(X0) = $i!val!39) | (k!2656(X0) = $i!val!8) | (k!2656(X0) = $i!val!41) | (k!2656(X0) = $i!val!27) | (k!2656(X0) = $i!val!0) | (k!2656(X0) = $i!val!18) | (k!2656(X0) = $i!val!10)))). % 3.91/4.07 tff(formula135, axiom, % 3.91/4.07 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!44)) | ((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!11)) | ((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!37) & (k!2655(X0) = $i!val!50)) | ((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!0) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!34) & (k!2655(X0) = $i!val!53)) | ((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!53)) | ((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!19)) | ((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!51)) | ((k!2656(X1) = $i!val!0) & (k!2655(X0) = $i!val!1)) | ((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!55)) | ((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!52))))). % 3.91/4.08 tff(formula136, axiom, % 3.91/4.08 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!44)) | ((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!51)) | ((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!51)) | ((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!37) & (k!2655(X0) = $i!val!50)) | ((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!51)) | ((k!2656(X1) = $i!val!29) & (k!2655(X0) = $i!val!50)) | ((k!2656(X1) = $i!val!37) & (k!2655(X0) = $i!val!51)) | ((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!49)) | ((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!17)) | ((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!55)) | ((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!52)) | ((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!49))))). % 3.91/4.08 tff(formula137, axiom, % 3.91/4.08 ![X0: $i] : (c6_1(X0) <=> ((~(k!2656(X0) = $i!val!13)) & (~(k!2656(X0) = $i!val!2)) & (~(k!2656(X0) = $i!val!18)) & (~(k!2656(X0) = $i!val!37)) & (~(k!2656(X0) = $i!val!34)) & (~(k!2656(X0) = $i!val!0))))). % 3.91/4.08 tff(formula138, axiom, % 3.91/4.08 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!37) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!5) & (k!2655(X0) = $i!val!46)) | ((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!46))))). % 3.91/4.08 tff(formula139, axiom, % 3.91/4.08 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!2656(X1) = $i!val!10) & (k!2655(X0) = $i!val!11)) | ((k!2656(X1) = $i!val!13) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!16) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!0) & (k!2655(X0) = $i!val!43)) | ((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!19)) | ((k!2656(X1) = $i!val!18) & (k!2655(X0) = $i!val!51)) | ((k!2656(X1) = $i!val!24) & (k!2655(X0) = $i!val!49)) | ((k!2656(X1) = $i!val!29) & (k!2655(X0) = $i!val!30)) | ((k!2656(X1) = $i!val!2) & (k!2655(X0) = $i!val!49))))). % 3.91/4.08 tff(formula140, axiom, % 3.91/4.08 ![X0: $i] : (c8_1(X0) <=> ((~(k!2656(X0) = $i!val!40)) & (~(k!2656(X0) = $i!val!22))))). % 3.91/4.08 % SZS output end Model % 3.91/4.08 % E exiting %------------------------------------------------------------------------------