%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LCL637+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 03:00:18 PM UTC 2026 % Result : CounterSatisfiable 43.35s 43.68s % Output : Model 43.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL637+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.08/0.36 % Computer : n004.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 5 08:26:16 UTC 2026 % 0.08/0.36 % CPUTime : % 43.35/43.68 % SZS status CounterSatisfiable % 43.35/43.68 % SZS output start Model % 43.35/43.68 tff(tptp_fun__i_val_60_type, type, ( % 43.35/43.68 tptp_fun__i_val_60: $i)). % 43.35/43.68 tff(k!674_type, type, ( % 43.35/43.68 k!674: $i > $i)). % 43.35/43.68 tff(tptp_fun__i_val_59_type, type, ( % 43.35/43.68 tptp_fun__i_val_59: $i)). % 43.35/43.68 tff(tptp_fun__i_val_36_type, type, ( % 43.35/43.68 tptp_fun__i_val_36: $i)). % 43.35/43.68 tff(tptp_fun__i_val_35_type, type, ( % 43.35/43.68 tptp_fun__i_val_35: $i)). % 43.35/43.68 tff(tptp_fun__i_val_6_type, type, ( % 43.35/43.68 tptp_fun__i_val_6: $i)). % 43.35/43.68 tff(tptp_fun__i_val_19_type, type, ( % 43.35/43.68 tptp_fun__i_val_19: $i)). % 43.35/43.68 tff(tptp_fun__i_val_25_type, type, ( % 43.35/43.68 tptp_fun__i_val_25: $i)). % 43.35/43.68 tff(tptp_fun__i_val_9_type, type, ( % 43.35/43.68 tptp_fun__i_val_9: $i)). % 43.35/43.68 tff(tptp_fun__i_val_44_type, type, ( % 43.35/43.68 tptp_fun__i_val_44: $i)). % 43.35/43.68 tff(tptp_fun__i_val_43_type, type, ( % 43.35/43.68 tptp_fun__i_val_43: $i)). % 43.35/43.68 tff(tptp_fun__i_val_22_type, type, ( % 43.35/43.68 tptp_fun__i_val_22: $i)). % 43.35/43.68 tff(tptp_fun__i_val_2_type, type, ( % 43.35/43.68 tptp_fun__i_val_2: $i)). % 43.35/43.68 tff(tptp_fun__i_val_3_type, type, ( % 43.35/43.68 tptp_fun__i_val_3: $i)). % 43.35/43.68 tff(tptp_fun__i_val_21_type, type, ( % 43.35/43.68 tptp_fun__i_val_21: $i)). % 43.35/43.68 tff(tptp_fun__i_val_16_type, type, ( % 43.35/43.68 tptp_fun__i_val_16: $i)). % 43.35/43.68 tff(tptp_fun__i_val_28_type, type, ( % 43.35/43.68 tptp_fun__i_val_28: $i)). % 43.35/43.68 tff(tptp_fun__i_val_50_type, type, ( % 43.35/43.68 tptp_fun__i_val_50: $i)). % 43.35/43.68 tff(tptp_fun__i_val_49_type, type, ( % 43.35/43.68 tptp_fun__i_val_49: $i)). % 43.35/43.68 tff(tptp_fun__i_val_1_type, type, ( % 43.35/43.68 tptp_fun__i_val_1: $i)). % 43.35/43.68 tff(tptp_fun__i_val_15_type, type, ( % 43.35/43.68 tptp_fun__i_val_15: $i)). % 43.35/43.68 tff(tptp_fun__i_val_27_type, type, ( % 43.35/43.68 tptp_fun__i_val_27: $i)). % 43.35/43.68 tff(tptp_fun__i_val_58_type, type, ( % 43.35/43.68 tptp_fun__i_val_58: $i)). % 43.35/43.68 tff(tptp_fun__i_val_57_type, type, ( % 43.35/43.68 tptp_fun__i_val_57: $i)). % 43.35/43.68 tff(tptp_fun__i_val_34_type, type, ( % 43.35/43.68 tptp_fun__i_val_34: $i)). % 43.35/43.68 tff(tptp_fun__i_val_33_type, type, ( % 43.35/43.68 tptp_fun__i_val_33: $i)). % 43.35/43.68 tff(tptp_fun__i_val_18_type, type, ( % 43.35/43.68 tptp_fun__i_val_18: $i)). % 43.35/43.68 tff(tptp_fun__i_val_30_type, type, ( % 43.35/43.68 tptp_fun__i_val_30: $i)). % 43.35/43.68 tff(tptp_fun__i_val_12_type, type, ( % 43.35/43.68 tptp_fun__i_val_12: $i)). % 43.35/43.68 tff(tptp_fun__i_val_54_type, type, ( % 43.35/43.68 tptp_fun__i_val_54: $i)). % 43.35/43.68 tff(tptp_fun__i_val_53_type, type, ( % 43.35/43.68 tptp_fun__i_val_53: $i)). % 43.35/43.68 tff(tptp_fun__i_val_42_type, type, ( % 43.35/43.68 tptp_fun__i_val_42: $i)). % 43.35/43.68 tff(tptp_fun__i_val_48_type, type, ( % 43.35/43.68 tptp_fun__i_val_48: $i)). % 43.35/43.68 tff(tptp_fun__i_val_47_type, type, ( % 43.35/43.68 tptp_fun__i_val_47: $i)). % 43.35/43.68 tff(tptp_fun__i_val_0_type, type, ( % 43.35/43.68 tptp_fun__i_val_0: $i)). % 43.35/43.68 tff(tptp_fun__i_val_41_type, type, ( % 43.35/43.68 tptp_fun__i_val_41: $i)). % 43.35/43.68 tff(tptp_fun__i_val_4_type, type, ( % 43.35/43.68 tptp_fun__i_val_4: $i)). % 43.35/43.68 tff(tptp_fun__i_val_5_type, type, ( % 43.35/43.68 tptp_fun__i_val_5: $i)). % 43.35/43.68 tff(tptp_fun__i_val_17_type, type, ( % 43.35/43.68 tptp_fun__i_val_17: $i)). % 43.35/43.68 tff(tptp_fun__i_val_29_type, type, ( % 43.35/43.68 tptp_fun__i_val_29: $i)). % 43.35/43.68 tff(tptp_fun__i_val_24_type, type, ( % 43.35/43.68 tptp_fun__i_val_24: $i)). % 43.35/43.68 tff(tptp_fun__i_val_8_type, type, ( % 43.35/43.68 tptp_fun__i_val_8: $i)). % 43.35/43.68 tff(tptp_fun__i_val_14_type, type, ( % 43.35/43.68 tptp_fun__i_val_14: $i)). % 43.35/43.68 tff(tptp_fun__i_val_62_type, type, ( % 43.35/43.68 tptp_fun__i_val_62: $i)). % 43.35/43.68 tff(tptp_fun__i_val_61_type, type, ( % 43.35/43.68 tptp_fun__i_val_61: $i)). % 43.35/43.68 tff(tptp_fun__i_val_56_type, type, ( % 43.35/43.68 tptp_fun__i_val_56: $i)). % 43.35/43.68 tff(tptp_fun__i_val_55_type, type, ( % 43.35/43.69 tptp_fun__i_val_55: $i)). % 43.35/43.69 tff(tptp_fun__i_val_38_type, type, ( % 43.35/43.69 tptp_fun__i_val_38: $i)). % 43.35/43.69 tff(tptp_fun__i_val_37_type, type, ( % 43.35/43.69 tptp_fun__i_val_37: $i)). % 43.35/43.69 tff(tptp_fun__i_val_32_type, type, ( % 43.35/43.69 tptp_fun__i_val_32: $i)). % 43.35/43.69 tff(tptp_fun__i_val_31_type, type, ( % 43.35/43.69 tptp_fun__i_val_31: $i)). % 43.35/43.69 tff(tptp_fun__i_val_23_type, type, ( % 43.35/43.69 tptp_fun__i_val_23: $i)). % 43.35/43.69 tff(tptp_fun__i_val_10_type, type, ( % 43.35/43.69 tptp_fun__i_val_10: $i)). % 43.35/43.69 tff(tptp_fun__i_val_11_type, type, ( % 43.35/43.69 tptp_fun__i_val_11: $i)). % 43.35/43.69 tff(tptp_fun__i_val_46_type, type, ( % 43.35/43.69 tptp_fun__i_val_46: $i)). % 43.35/43.69 tff(tptp_fun__i_val_45_type, type, ( % 43.35/43.69 tptp_fun__i_val_45: $i)). % 43.35/43.69 tff(tptp_fun__i_val_52_type, type, ( % 43.35/43.69 tptp_fun__i_val_52: $i)). % 43.35/43.69 tff(tptp_fun__i_val_51_type, type, ( % 43.35/43.69 tptp_fun__i_val_51: $i)). % 43.35/43.69 tff(tptp_fun__i_val_40_type, type, ( % 43.35/43.69 tptp_fun__i_val_40: $i)). % 43.35/43.69 tff(tptp_fun__i_val_39_type, type, ( % 43.35/43.69 tptp_fun__i_val_39: $i)). % 43.35/43.69 tff(tptp_fun__i_val_20_type, type, ( % 43.35/43.69 tptp_fun__i_val_20: $i)). % 43.35/43.69 tff(tptp_fun__i_val_26_type, type, ( % 43.35/43.69 tptp_fun__i_val_26: $i)). % 43.35/43.69 tff(tptp_fun__i_val_7_type, type, ( % 43.35/43.69 tptp_fun__i_val_7: $i)). % 43.35/43.69 tff(tptp_fun__i_val_13_type, type, ( % 43.35/43.69 tptp_fun__i_val_13: $i)). % 43.35/43.69 tff(p5_type, type, ( % 43.35/43.69 p5: $i > $o)). % 43.35/43.69 tff(p2_type, type, ( % 43.35/43.69 p2: $i > $o)). % 43.35/43.69 tff(p106_type, type, ( % 43.35/43.69 p106: $i > $o)). % 43.35/43.69 tff(p3_type, type, ( % 43.35/43.69 p3: $i > $o)). % 43.35/43.69 tff(p104_type, type, ( % 43.35/43.69 p104: $i > $o)). % 43.35/43.69 tff(p1_type, type, ( % 43.35/43.69 p1: $i > $o)). % 43.35/43.69 tff(p101_type, type, ( % 43.35/43.69 p101: $i > $o)). % 43.35/43.69 tff(p100_type, type, ( % 43.35/43.69 p100: $i > $o)). % 43.35/43.69 tff(p103_type, type, ( % 43.35/43.69 p103: $i > $o)). % 43.35/43.69 tff(p102_type, type, ( % 43.35/43.69 p102: $i > $o)). % 43.35/43.69 tff(p4_type, type, ( % 43.35/43.69 p4: $i > $o)). % 43.35/43.69 tff(p6_type, type, ( % 43.35/43.69 p6: $i > $o)). % 43.35/43.69 tff(r1_type, type, ( % 43.35/43.69 r1: ( $i * $i ) > $o)). % 43.35/43.69 tff(p105_type, type, ( % 43.35/43.69 p105: $i > $o)). % 43.35/43.69 tff(formula1, axiom, % 43.35/43.69 k!674($i!val!60) = $i!val!60). % 43.35/43.69 tff(formula2, axiom, % 43.35/43.69 k!674($i!val!59) = $i!val!59). % 43.35/43.69 tff(formula3, axiom, % 43.35/43.69 k!674($i!val!36) = $i!val!36). % 43.35/43.69 tff(formula4, axiom, % 43.35/43.69 k!674($i!val!35) = $i!val!35). % 43.35/43.69 tff(formula5, axiom, % 43.35/43.69 k!674($i!val!6) = $i!val!6). % 43.35/43.69 tff(formula6, axiom, % 43.35/43.69 k!674($i!val!19) = $i!val!19). % 43.35/43.69 tff(formula7, axiom, % 43.35/43.69 k!674($i!val!25) = $i!val!25). % 43.35/43.69 tff(formula8, axiom, % 43.35/43.69 k!674($i!val!9) = $i!val!9). % 43.35/43.69 tff(formula9, axiom, % 43.35/43.69 k!674($i!val!44) = $i!val!44). % 43.35/43.69 tff(formula10, axiom, % 43.35/43.69 k!674($i!val!43) = $i!val!43). % 43.35/43.69 tff(formula11, axiom, % 43.35/43.69 k!674($i!val!22) = $i!val!22). % 43.35/43.69 tff(formula12, axiom, % 43.35/43.69 k!674($i!val!2) = $i!val!2). % 43.35/43.69 tff(formula13, axiom, % 43.35/43.69 k!674($i!val!3) = $i!val!3). % 43.35/43.69 tff(formula14, axiom, % 43.35/43.69 k!674($i!val!21) = $i!val!21). % 43.35/43.69 tff(formula15, axiom, % 43.35/43.69 k!674($i!val!16) = $i!val!16). % 43.35/43.69 tff(formula16, axiom, % 43.35/43.69 k!674($i!val!28) = $i!val!28). % 43.35/43.69 tff(formula17, axiom, % 43.35/43.69 k!674($i!val!50) = $i!val!50). % 43.35/43.69 tff(formula18, axiom, % 43.35/43.69 k!674($i!val!49) = $i!val!49). % 43.35/43.69 tff(formula19, axiom, % 43.35/43.69 k!674($i!val!1) = $i!val!1). % 43.35/43.69 tff(formula20, axiom, % 43.35/43.69 k!674($i!val!15) = $i!val!15). % 43.35/43.69 tff(formula21, axiom, % 43.35/43.69 k!674($i!val!27) = $i!val!27). % 43.35/43.69 tff(formula22, axiom, % 43.35/43.69 k!674($i!val!58) = $i!val!58). % 43.35/43.69 tff(formula23, axiom, % 43.35/43.69 k!674($i!val!57) = $i!val!57). % 43.35/43.69 tff(formula24, axiom, % 43.35/43.69 k!674($i!val!34) = $i!val!34). % 43.35/43.69 tff(formula25, axiom, % 43.35/43.69 k!674($i!val!33) = $i!val!33). % 43.35/43.69 tff(formula26, axiom, % 43.35/43.69 k!674($i!val!18) = $i!val!18). % 43.35/43.69 tff(formula27, axiom, % 43.35/43.69 k!674($i!val!30) = $i!val!30). % 43.35/43.69 tff(formula28, axiom, % 43.35/43.69 k!674($i!val!12) = $i!val!12). % 43.35/43.69 tff(formula29, axiom, % 43.35/43.69 k!674($i!val!54) = $i!val!54). % 43.35/43.69 tff(formula30, axiom, % 43.35/43.69 k!674($i!val!53) = $i!val!53). % 43.35/43.69 tff(formula31, axiom, % 43.35/43.69 k!674($i!val!42) = $i!val!42). % 43.35/43.69 tff(formula32, axiom, % 43.35/43.69 k!674($i!val!48) = $i!val!48). % 43.35/43.69 tff(formula33, axiom, % 43.35/43.69 k!674($i!val!47) = $i!val!47). % 43.35/43.69 tff(formula34, axiom, % 43.35/43.69 k!674($i!val!0) = $i!val!0). % 43.35/43.69 tff(formula35, axiom, % 43.35/43.69 k!674($i!val!41) = $i!val!41). % 43.35/43.69 tff(formula36, axiom, % 43.35/43.69 k!674($i!val!4) = $i!val!4). % 43.35/43.69 tff(formula37, axiom, % 43.35/43.69 k!674($i!val!5) = $i!val!5). % 43.35/43.69 tff(formula38, axiom, % 43.35/43.69 k!674($i!val!17) = $i!val!17). % 43.35/43.69 tff(formula39, axiom, % 43.35/43.69 k!674($i!val!29) = $i!val!29). % 43.35/43.69 tff(formula40, axiom, % 43.35/43.69 k!674($i!val!24) = $i!val!24). % 43.35/43.69 tff(formula41, axiom, % 43.35/43.69 k!674($i!val!8) = $i!val!8). % 43.35/43.69 tff(formula42, axiom, % 43.35/43.69 k!674($i!val!14) = $i!val!14). % 43.35/43.69 tff(formula43, axiom, % 43.35/43.69 k!674($i!val!62) = $i!val!62). % 43.35/43.69 tff(formula44, axiom, % 43.35/43.69 k!674($i!val!61) = $i!val!61). % 43.35/43.69 tff(formula45, axiom, % 43.35/43.69 k!674($i!val!56) = $i!val!56). % 43.35/43.69 tff(formula46, axiom, % 43.35/43.69 k!674($i!val!55) = $i!val!55). % 43.35/43.69 tff(formula47, axiom, % 43.35/43.69 k!674($i!val!38) = $i!val!38). % 43.35/43.69 tff(formula48, axiom, % 43.35/43.69 k!674($i!val!37) = $i!val!37). % 43.35/43.69 tff(formula49, axiom, % 43.35/43.69 k!674($i!val!32) = $i!val!32). % 43.35/43.69 tff(formula50, axiom, % 43.35/43.69 k!674($i!val!31) = $i!val!31). % 43.35/43.69 tff(formula51, axiom, % 43.35/43.69 k!674($i!val!23) = $i!val!23). % 43.35/43.69 tff(formula52, axiom, % 43.35/43.69 k!674($i!val!10) = $i!val!10). % 43.35/43.69 tff(formula53, axiom, % 43.35/43.69 k!674($i!val!11) = $i!val!11). % 43.35/43.69 tff(formula54, axiom, % 43.35/43.69 k!674($i!val!46) = $i!val!46). % 43.35/43.69 tff(formula55, axiom, % 43.35/43.69 k!674($i!val!45) = $i!val!45). % 43.35/43.69 tff(formula56, axiom, % 43.35/43.69 k!674($i!val!52) = $i!val!52). % 43.35/43.69 tff(formula57, axiom, % 43.35/43.69 k!674($i!val!51) = $i!val!51). % 43.35/43.69 tff(formula58, axiom, % 43.35/43.69 k!674($i!val!40) = $i!val!40). % 43.35/43.69 tff(formula59, axiom, % 43.35/43.69 k!674($i!val!39) = $i!val!39). % 43.35/43.69 tff(formula60, axiom, % 43.35/43.69 k!674($i!val!20) = $i!val!20). % 43.35/43.69 tff(formula61, axiom, % 43.35/43.69 k!674($i!val!26) = $i!val!26). % 43.35/43.69 tff(formula62, axiom, % 43.35/43.69 k!674($i!val!7) = $i!val!7). % 43.35/43.69 tff(formula63, axiom, % 43.35/43.69 ![X0: $i] : ((~((($i!val!60 = X0)) | (($i!val!59 = X0)) | (($i!val!36 = X0)) | (($i!val!35 = X0)) | (($i!val!6 = X0)) | (($i!val!19 = X0)) | (($i!val!25 = X0)) | (($i!val!9 = X0)) | (($i!val!44 = X0)) | (($i!val!43 = X0)) | (($i!val!22 = X0)) | (($i!val!2 = X0)) | (($i!val!3 = X0)) | (($i!val!21 = X0)) | (($i!val!16 = X0)) | (($i!val!28 = X0)) | (($i!val!50 = X0)) | (($i!val!49 = X0)) | (($i!val!1 = X0)) | (($i!val!15 = X0)) | (($i!val!27 = X0)) | (($i!val!58 = X0)) | (($i!val!57 = X0)) | (($i!val!34 = X0)) | (($i!val!33 = X0)) | (($i!val!18 = X0)) | (($i!val!30 = X0)) | (($i!val!12 = X0)) | (($i!val!54 = X0)) | (($i!val!53 = X0)) | (($i!val!42 = X0)) | (($i!val!48 = X0)) | (($i!val!47 = X0)) | (($i!val!0 = X0)) | (($i!val!41 = X0)) | (($i!val!4 = X0)) | (($i!val!5 = X0)) | (($i!val!17 = X0)) | (($i!val!29 = X0)) | (($i!val!24 = X0)) | (($i!val!8 = X0)) | (($i!val!14 = X0)) | (($i!val!62 = X0)) | (($i!val!61 = X0)) | (($i!val!56 = X0)) | (($i!val!55 = X0)) | (($i!val!38 = X0)) | (($i!val!37 = X0)) | (($i!val!32 = X0)) | (($i!val!31 = X0)) | (($i!val!23 = X0)) | (($i!val!10 = X0)) | (($i!val!11 = X0)) | (($i!val!46 = X0)) | (($i!val!45 = X0)) | (($i!val!52 = X0)) | (($i!val!51 = X0)) | (($i!val!40 = X0)) | (($i!val!39 = X0)) | (($i!val!20 = X0)) | (($i!val!26 = X0)) | (($i!val!7 = X0)))) => (k!674(X0) = $i!val!13))). % 43.35/43.69 tff(formula64, axiom, % 43.35/43.69 ![X0: $i] : (p5(X0) <=> ((k!674(X0) = $i!val!58) | (k!674(X0) = $i!val!29) | (k!674(X0) = $i!val!38) | (k!674(X0) = $i!val!61) | (k!674(X0) = $i!val!37) | (k!674(X0) = $i!val!62) | (k!674(X0) = $i!val!54) | (k!674(X0) = $i!val!27) | (k!674(X0) = $i!val!57) | (k!674(X0) = $i!val!17) | (k!674(X0) = $i!val!23) | (k!674(X0) = $i!val!41) | (k!674(X0) = $i!val!19) | (k!674(X0) = $i!val!42) | (k!674(X0) = $i!val!50) | (k!674(X0) = $i!val!34) | (k!674(X0) = $i!val!25) | (k!674(X0) = $i!val!21) | (k!674(X0) = $i!val!53) | (k!674(X0) = $i!val!45) | (k!674(X0) = $i!val!33) | (k!674(X0) = $i!val!49) | (k!674(X0) = $i!val!46) | (k!674(X0) = $i!val!15)))). % 43.35/43.69 tff(formula65, axiom, % 43.35/43.69 ![X0: $i] : (p2(X0) <=> ((k!674(X0) = $i!val!58) | (k!674(X0) = $i!val!29) | (k!674(X0) = $i!val!28) | (k!674(X0) = $i!val!61) | (k!674(X0) = $i!val!60) | (k!674(X0) = $i!val!62) | (k!674(X0) = $i!val!54) | (k!674(X0) = $i!val!27) | (k!674(X0) = $i!val!57) | (k!674(X0) = $i!val!5) | (k!674(X0) = $i!val!12) | (k!674(X0) = $i!val!23) | (k!674(X0) = $i!val!50) | (k!674(X0) = $i!val!25) | (k!674(X0) = $i!val!53) | (k!674(X0) = $i!val!49) | (k!674(X0) = $i!val!47) | (k!674(X0) = $i!val!59) | (k!674(X0) = $i!val!24) | (k!674(X0) = $i!val!26) | (k!674(X0) = $i!val!13) | (k!674(X0) = $i!val!14) | (k!674(X0) = $i!val!11) | (k!674(X0) = $i!val!2) | (k!674(X0) = $i!val!56) | (k!674(X0) = $i!val!55) | (k!674(X0) = $i!val!52) | (k!674(X0) = $i!val!51) | (k!674(X0) = $i!val!48) | (k!674(X0) = $i!val!30) | (k!674(X0) = $i!val!6)))). % 43.35/43.69 tff(formula66, axiom, % 43.35/43.69 ![X0: $i] : (p106(X0) <=> $false)). % 43.35/43.69 tff(formula67, axiom, % 43.35/43.69 ![X0: $i] : (p3(X0) <=> ((k!674(X0) = $i!val!58) | (k!674(X0) = $i!val!29) | (k!674(X0) = $i!val!28) | (k!674(X0) = $i!val!61) | (k!674(X0) = $i!val!60) | (k!674(X0) = $i!val!62) | (k!674(X0) = $i!val!27) | (k!674(X0) = $i!val!43) | (k!674(X0) = $i!val!57) | (k!674(X0) = $i!val!44) | (k!674(X0) = $i!val!5) | (k!674(X0) = $i!val!41) | (k!674(X0) = $i!val!19) | (k!674(X0) = $i!val!42) | (k!674(X0) = $i!val!21) | (k!674(X0) = $i!val!45) | (k!674(X0) = $i!val!39) | (k!674(X0) = $i!val!46) | (k!674(X0) = $i!val!3) | (k!674(X0) = $i!val!59) | (k!674(X0) = $i!val!22) | (k!674(X0) = $i!val!20) | (k!674(X0) = $i!val!10) | (k!674(X0) = $i!val!13) | (k!674(X0) = $i!val!14) | (k!674(X0) = $i!val!40) | (k!674(X0) = $i!val!56) | (k!674(X0) = $i!val!55) | (k!674(X0) = $i!val!30) | (k!674(X0) = $i!val!9)))). % 43.35/43.69 tff(formula68, axiom, % 43.35/43.69 ![X0: $i] : (p104(X0) <=> ((~(k!674(X0) = $i!val!14)) & (~(k!674(X0) = $i!val!13)) & (~(k!674(X0) = $i!val!5)) & (~(k!674(X0) = $i!val!12)) & (~(k!674(X0) = $i!val!11)) & (~(k!674(X0) = $i!val!6)) & (~(k!674(X0) = $i!val!10)) & (~(k!674(X0) = $i!val!9)) & (~(k!674(X0) = $i!val!3)) & (~(k!674(X0) = $i!val!8)) & (~(k!674(X0) = $i!val!7)) & (~(k!674(X0) = $i!val!4)) & (~(k!674(X0) = $i!val!2)) & (~(k!674(X0) = $i!val!1)) & (~(k!674(X0) = $i!val!0))))). % 43.35/43.69 tff(formula69, axiom, % 43.35/43.69 ![X0: $i] : (p1(X0) <=> $false)). % 43.35/43.69 tff(formula70, axiom, % 43.35/43.69 ![X0: $i] : (p101(X0) <=> (~(k!674(X0) = $i!val!0)))). % 43.35/43.69 tff(formula71, axiom, % 43.35/43.69 ![X0: $i] : (p100(X0) <=> $true)). % 43.35/43.69 tff(formula72, axiom, % 43.35/43.69 ![X0: $i] : (p103(X0) <=> ((~(k!674(X0) = $i!val!6)) & (~(k!674(X0) = $i!val!5)) & (~(k!674(X0) = $i!val!2)) & (~(k!674(X0) = $i!val!4)) & (~(k!674(X0) = $i!val!3)) & (~(k!674(X0) = $i!val!1)) & (~(k!674(X0) = $i!val!0))))). % 43.35/43.69 tff(formula73, axiom, % 43.35/43.69 ![X0: $i] : (p102(X0) <=> ((~(k!674(X0) = $i!val!2)) & (~(k!674(X0) = $i!val!1)) & (~(k!674(X0) = $i!val!0))))). % 43.35/43.69 tff(formula74, axiom, % 43.35/43.69 ![X0: $i] : (p4(X0) <=> ((k!674(X0) = $i!val!29) | (k!674(X0) = $i!val!38) | (k!674(X0) = $i!val!61) | (k!674(X0) = $i!val!60) | (k!674(X0) = $i!val!37) | (k!674(X0) = $i!val!62) | (k!674(X0) = $i!val!54) | (k!674(X0) = $i!val!43) | (k!674(X0) = $i!val!44) | (k!674(X0) = $i!val!17) | (k!674(X0) = $i!val!35) | (k!674(X0) = $i!val!25) | (k!674(X0) = $i!val!21) | (k!674(X0) = $i!val!53) | (k!674(X0) = $i!val!45) | (k!674(X0) = $i!val!46) | (k!674(X0) = $i!val!36) | (k!674(X0) = $i!val!7) | (k!674(X0) = $i!val!59) | (k!674(X0) = $i!val!18) | (k!674(X0) = $i!val!26) | (k!674(X0) = $i!val!22) | (k!674(X0) = $i!val!13) | (k!674(X0) = $i!val!11) | (k!674(X0) = $i!val!52) | (k!674(X0) = $i!val!51) | (k!674(X0) = $i!val!30) | (k!674(X0) = $i!val!9)))). % 43.35/43.69 tff(formula75, axiom, % 43.35/43.69 ![X0: $i] : (p6(X0) <=> ((~(k!674(X0) = $i!val!61)) & (~(k!674(X0) = $i!val!59)) & (~(k!674(X0) = $i!val!57)) & (~(k!674(X0) = $i!val!55)) & (~(k!674(X0) = $i!val!53)) & (~(k!674(X0) = $i!val!51)) & (~(k!674(X0) = $i!val!49)) & (~(k!674(X0) = $i!val!47)) & (~(k!674(X0) = $i!val!45)) & (~(k!674(X0) = $i!val!43)) & (~(k!674(X0) = $i!val!41)) & (~(k!674(X0) = $i!val!39)) & (~(k!674(X0) = $i!val!37)) & (~(k!674(X0) = $i!val!35)) & (~(k!674(X0) = $i!val!33)) & (~(k!674(X0) = $i!val!31))))). % 43.35/43.69 tff(formula76, axiom, % 43.35/43.69 ![X0: $i, X1: $i] : (r1(X0, X1) <=> (((k!674(X1) = $i!val!15) & (k!674(X0) = $i!val!34)) | ((k!674(X1) = $i!val!24) & (k!674(X0) = $i!val!48)) | ((k!674(X1) = $i!val!20) & (k!674(X0) = $i!val!39)) | ((k!674(X1) = $i!val!29) & (k!674(X0) = $i!val!62)) | ((k!674(X1) = $i!val!27) & (k!674(X0) = $i!val!57)) | ((k!674(X1) = $i!val!21) & (k!674(X0) = $i!val!45)) | ((k!674(X1) = $i!val!16) & (k!674(X0) = $i!val!32)) | ((k!674(X1) = $i!val!25) & (k!674(X0) = $i!val!54)) | ((k!674(X1) = $i!val!26) & (k!674(X0) = $i!val!52)) | ((k!674(X1) = $i!val!30) & (k!674(X0) = $i!val!59)) | ((k!674(X1) = $i!val!16) & (k!674(X0) = $i!val!31)) | ((k!674(X1) = $i!val!28) & (k!674(X0) = $i!val!55)) | ((k!674(X1) = $i!val!27) & (k!674(X0) = $i!val!58)) | ((k!674(X1) = $i!val!19) & (k!674(X0) = $i!val!41)) | ((k!674(X1) = $i!val!20) & (k!674(X0) = $i!val!40)) | ((k!674(X1) = $i!val!19) & (k!674(X0) = $i!val!42)) | ((k!674(X1) = $i!val!13) & (k!674(X0) = $i!val!30)) | ((k!674(X1) = $i!val!13) & (k!674(X0) = $i!val!29)) | ((k!674(X1) = $i!val!17) & (k!674(X0) = $i!val!37)) | ((k!674(X1) = $i!val!7) & (k!674(X0) = $i!val!17)) | ((k!674(X1) = $i!val!5) & (k!674(X0) = $i!val!13)) | ((k!674(X1) = $i!val!8) & (k!674(X0) = $i!val!16)) | ((k!674(X1) = $i!val!4) & (k!674(X0) = $i!val!7)) | ((k!674(X1) = $i!val!2) & (k!674(X0) = $i!val!6)) | ((k!674(X1) = $i!val!2) & (k!674(X0) = $i!val!5)) | ((k!674(X1) = $i!val!1) & (k!674(X0) = $i!val!4)) | ((k!674(X1) = $i!val!1) & (k!674(X0) = $i!val!3)) | ((k!674(X1) = $i!val!0) & (k!674(X0) = $i!val!2)) | ((k!674(X1) = $i!val!11) & (k!674(X0) = $i!val!26)) | ((k!674(X1) = $i!val!9) & (k!674(X0) = $i!val!22)) | ((k!674(X1) = $i!val!21) & (k!674(X0) = $i!val!46)) | ((k!674(X1) = $i!val!18) & (k!674(X0) = $i!val!35)) | ((k!674(X1) = $i!val!0) & (k!674(X0) = $i!val!1)) | ((k!674(X1) = $i!val!3) & (k!674(X0) = $i!val!10)) | ((k!674(X1) = $i!val!23) & (k!674(X0) = $i!val!49)) | ((k!674(X1) = $i!val!10) & (k!674(X0) = $i!val!20)) | ((k!674(X1) = $i!val!8) & (k!674(X0) = $i!val!15)) | ((k!674(X1) = $i!val!14) & (k!674(X0) = $i!val!27)) | ((k!674(X1) = $i!val!11) & (k!674(X0) = $i!val!25)) | ((k!674(X1) = $i!val!12) & (k!674(X0) = $i!val!24)) | ((k!674(X1) = $i!val!18) & (k!674(X0) = $i!val!36)) | ((k!674(X1) = $i!val!12) & (k!674(X0) = $i!val!23)) | ((k!674(X1) = $i!val!29) & (k!674(X0) = $i!val!61)) | ((k!674(X1) = $i!val!6) & (k!674(X0) = $i!val!12)) | ((k!674(X1) = $i!val!6) & (k!674(X0) = $i!val!11)) | ((k!674(X1) = $i!val!4) & (k!674(X0) = $i!val!8)) | ((k!674(X1) = $i!val!7) & (k!674(X0) = $i!val!18)) | ((k!674(X1) = $i!val!5) & (k!674(X0) = $i!val!14)) | ((k!674(X1) = $i!val!15) & (k!674(X0) = $i!val!33)) | ((k!674(X1) = $i!val!9) & (k!674(X0) = $i!val!21)) | ((k!674(X1) = $i!val!3) & (k!674(X0) = $i!val!9)) | ((k!674(X1) = $i!val!25) & (k!674(X0) = $i!val!53)) | ((k!674(X1) = $i!val!23) & (k!674(X0) = $i!val!50)) | ((k!674(X1) = $i!val!10) & (k!674(X0) = $i!val!19)) | ((k!674(X1) = $i!val!28) & (k!674(X0) = $i!val!56)) | ((k!674(X1) = $i!val!30) & (k!674(X0) = $i!val!60)) | ((k!674(X1) = $i!val!24) & (k!674(X0) = $i!val!47)) | ((k!674(X1) = $i!val!22) & (k!674(X0) = $i!val!44)) | ((k!674(X1) = $i!val!17) & (k!674(X0) = $i!val!38)) | ((k!674(X1) = $i!val!14) & (k!674(X0) = $i!val!28)) | ((k!674(X1) = $i!val!26) & (k!674(X0) = $i!val!51)) | ((k!674(X1) = $i!val!22) & (k!674(X0) = $i!val!43))))). % 43.45/43.73 tff(formula77, axiom, % 43.45/43.73 ![X0: $i] : (p105(X0) <=> ((~(k!674(X0) = $i!val!30)) & (~(k!674(X0) = $i!val!29)) & (~(k!674(X0) = $i!val!13)) & (~(k!674(X0) = $i!val!28)) & (~(k!674(X0) = $i!val!27)) & (~(k!674(X0) = $i!val!14)) & (~(k!674(X0) = $i!val!26)) & (~(k!674(X0) = $i!val!25)) & (~(k!674(X0) = $i!val!11)) & (~(k!674(X0) = $i!val!24)) & (~(k!674(X0) = $i!val!23)) & (~(k!674(X0) = $i!val!12)) & (~(k!674(X0) = $i!val!22)) & (~(k!674(X0) = $i!val!21)) & (~(k!674(X0) = $i!val!9)) & (~(k!674(X0) = $i!val!20)) & (~(k!674(X0) = $i!val!19)) & (~(k!674(X0) = $i!val!10)) & (~(k!674(X0) = $i!val!18)) & (~(k!674(X0) = $i!val!17)) & (~(k!674(X0) = $i!val!7)) & (~(k!674(X0) = $i!val!16)) & (~(k!674(X0) = $i!val!15)) & (~(k!674(X0) = $i!val!8)) & (~(k!674(X0) = $i!val!5)) & (~(k!674(X0) = $i!val!6)) & (~(k!674(X0) = $i!val!3)) & (~(k!674(X0) = $i!val!4)) & (~(k!674(X0) = $i!val!2)) & (~(k!674(X0) = $i!val!1)) & (~(k!674(X0) = $i!val!0))))). % 43.45/43.73 % SZS output end Model % 43.45/43.75 % E exiting %------------------------------------------------------------------------------