%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN544+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n016.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 1.07s 1.28s % Output : Model 1.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN544+1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n016.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 12:38:17 EDT 2025 % 0.12/0.34 % CPUTime : % 1.07/1.28 % SZS status CounterSatisfiable % 1.07/1.28 % SZS output start Model % 1.07/1.28 tff(tptp_fun__i_val_16_type, type, ( % 1.07/1.28 tptp_fun__i_val_16: $i)). % 1.07/1.28 tff(a59_type, type, ( % 1.07/1.28 a59: $i)). % 1.07/1.28 tff(tptp_fun__i_val_24_type, type, ( % 1.07/1.28 tptp_fun__i_val_24: $i)). % 1.07/1.28 tff(a117_type, type, ( % 1.07/1.28 a117: $i)). % 1.07/1.28 tff(c7_0_type, type, ( % 1.07/1.28 c7_0: $o)). % 1.07/1.28 tff(tptp_fun__i_val_0_type, type, ( % 1.07/1.28 tptp_fun__i_val_0: $i)). % 1.07/1.28 tff(a18_type, type, ( % 1.07/1.28 a18: $i)). % 1.07/1.28 tff(tptp_fun__i_val_9_type, type, ( % 1.07/1.28 tptp_fun__i_val_9: $i)). % 1.07/1.28 tff(a47_type, type, ( % 1.07/1.28 a47: $i)). % 1.07/1.28 tff(tptp_fun__i_val_21_type, type, ( % 1.07/1.28 tptp_fun__i_val_21: $i)). % 1.07/1.28 tff(a83_type, type, ( % 1.07/1.28 a83: $i)). % 1.07/1.28 tff(c8_0_type, type, ( % 1.07/1.28 c8_0: $o)). % 1.07/1.28 tff(tptp_fun__i_val_7_type, type, ( % 1.07/1.28 tptp_fun__i_val_7: $i)). % 1.07/1.28 tff(a43_type, type, ( % 1.07/1.28 a43: $i)). % 1.07/1.28 tff(tptp_fun__i_val_38_type, type, ( % 1.07/1.28 tptp_fun__i_val_38: $i)). % 1.07/1.28 tff(a58_type, type, ( % 1.07/1.28 a58: $i)). % 1.07/1.28 tff(tptp_fun__i_val_27_type, type, ( % 1.07/1.28 tptp_fun__i_val_27: $i)). % 1.07/1.28 tff(a122_type, type, ( % 1.07/1.28 a122: $i)). % 1.07/1.28 tff(tptp_fun__i_val_20_type, type, ( % 1.07/1.28 tptp_fun__i_val_20: $i)). % 1.07/1.28 tff(a82_type, type, ( % 1.07/1.28 a82: $i)). % 1.07/1.28 tff(tptp_fun__i_val_1_type, type, ( % 1.07/1.28 tptp_fun__i_val_1: $i)). % 1.07/1.28 tff(a27_type, type, ( % 1.07/1.28 a27: $i)). % 1.07/1.28 tff(tptp_fun__i_val_28_type, type, ( % 1.07/1.28 tptp_fun__i_val_28: $i)). % 1.07/1.28 tff(a123_type, type, ( % 1.07/1.28 a123: $i)). % 1.07/1.28 tff(tptp_fun__i_val_19_type, type, ( % 1.07/1.28 tptp_fun__i_val_19: $i)). % 1.07/1.28 tff(a68_type, type, ( % 1.07/1.28 a68: $i)). % 1.07/1.28 tff(tptp_fun__i_val_15_type, type, ( % 1.07/1.28 tptp_fun__i_val_15: $i)). % 1.07/1.28 tff(a55_type, type, ( % 1.07/1.28 a55: $i)). % 1.07/1.28 tff(tptp_fun__i_val_43_type, type, ( % 1.07/1.28 tptp_fun__i_val_43: $i)). % 1.07/1.28 tff(a88_type, type, ( % 1.07/1.28 a88: $i)). % 1.07/1.28 tff(tptp_fun__i_val_40_type, type, ( % 1.07/1.28 tptp_fun__i_val_40: $i)). % 1.07/1.28 tff(a94_type, type, ( % 1.07/1.28 a94: $i)). % 1.07/1.28 tff(tptp_fun__i_val_4_type, type, ( % 1.07/1.28 tptp_fun__i_val_4: $i)). % 1.07/1.28 tff(a31_type, type, ( % 1.07/1.28 a31: $i)). % 1.07/1.28 tff(tptp_fun__i_val_6_type, type, ( % 1.07/1.28 tptp_fun__i_val_6: $i)). % 1.07/1.28 tff(a36_type, type, ( % 1.07/1.28 a36: $i)). % 1.07/1.28 tff(c1_0_type, type, ( % 1.07/1.28 c1_0: $o)). % 1.07/1.28 tff(tptp_fun__i_val_32_type, type, ( % 1.07/1.28 tptp_fun__i_val_32: $i)). % 1.07/1.28 tff(a108_type, type, ( % 1.07/1.28 a108: $i)). % 1.07/1.28 tff(tptp_fun__i_val_14_type, type, ( % 1.07/1.28 tptp_fun__i_val_14: $i)). % 1.07/1.28 tff(a54_type, type, ( % 1.07/1.28 a54: $i)). % 1.07/1.28 tff(tptp_fun__i_val_2_type, type, ( % 1.07/1.28 tptp_fun__i_val_2: $i)). % 1.07/1.28 tff(a29_type, type, ( % 1.07/1.28 a29: $i)). % 1.07/1.28 tff(tptp_fun__i_val_29_type, type, ( % 1.07/1.28 tptp_fun__i_val_29: $i)). % 1.07/1.28 tff(a134_type, type, ( % 1.07/1.28 a134: $i)). % 1.07/1.28 tff(tptp_fun__i_val_3_type, type, ( % 1.07/1.28 tptp_fun__i_val_3: $i)). % 1.07/1.28 tff(a30_type, type, ( % 1.07/1.28 a30: $i)). % 1.07/1.28 tff(tptp_fun__i_val_10_type, type, ( % 1.07/1.28 tptp_fun__i_val_10: $i)). % 1.07/1.28 tff(a48_type, type, ( % 1.07/1.28 a48: $i)). % 1.07/1.28 tff(c4_0_type, type, ( % 1.07/1.28 c4_0: $o)). % 1.07/1.28 tff(tptp_fun__i_val_12_type, type, ( % 1.07/1.28 tptp_fun__i_val_12: $i)). % 1.07/1.28 tff(a51_type, type, ( % 1.07/1.28 a51: $i)). % 1.07/1.28 tff(tptp_fun__i_val_34_type, type, ( % 1.07/1.28 tptp_fun__i_val_34: $i)). % 1.07/1.28 tff(a34_type, type, ( % 1.07/1.28 a34: $i)). % 1.07/1.28 tff(c2_0_type, type, ( % 1.07/1.28 c2_0: $o)). % 1.07/1.28 tff(c6_0_type, type, ( % 1.07/1.28 c6_0: $o)). % 1.07/1.28 tff(tptp_fun__i_val_11_type, type, ( % 1.07/1.28 tptp_fun__i_val_11: $i)). % 1.07/1.28 tff(a49_type, type, ( % 1.07/1.28 a49: $i)). % 1.07/1.28 tff(tptp_fun__i_val_17_type, type, ( % 1.07/1.28 tptp_fun__i_val_17: $i)). % 1.07/1.28 tff(a61_type, type, ( % 1.07/1.28 a61: $i)). % 1.07/1.28 tff(tptp_fun__i_val_23_type, type, ( % 1.07/1.28 tptp_fun__i_val_23: $i)). % 1.07/1.28 tff(a104_type, type, ( % 1.07/1.28 a104: $i)). % 1.07/1.28 tff(tptp_fun__i_val_13_type, type, ( % 1.07/1.28 tptp_fun__i_val_13: $i)). % 1.07/1.28 tff(a53_type, type, ( % 1.07/1.28 a53: $i)). % 1.07/1.28 tff(tptp_fun__i_val_31_type, type, ( % 1.07/1.28 tptp_fun__i_val_31: $i)). % 1.07/1.28 tff(a137_type, type, ( % 1.07/1.28 a137: $i)). % 1.07/1.28 tff(ndr1_0_type, type, ( % 1.07/1.28 ndr1_0: $o)). % 1.07/1.28 tff(c3_0_type, type, ( % 1.07/1.28 c3_0: $o)). % 1.07/1.28 tff(tptp_fun__i_val_36_type, type, ( % 1.07/1.28 tptp_fun__i_val_36: $i)). % 1.07/1.28 tff(a100_type, type, ( % 1.07/1.28 a100: $i)). % 1.07/1.28 tff(tptp_fun__i_val_8_type, type, ( % 1.07/1.28 tptp_fun__i_val_8: $i)). % 1.07/1.28 tff(a45_type, type, ( % 1.07/1.28 a45: $i)). % 1.07/1.28 tff(tptp_fun__i_val_25_type, type, ( % 1.07/1.28 tptp_fun__i_val_25: $i)). % 1.07/1.28 tff(a120_type, type, ( % 1.07/1.28 a120: $i)). % 1.07/1.28 tff(tptp_fun__i_val_33_type, type, ( % 1.07/1.28 tptp_fun__i_val_33: $i)). % 1.07/1.28 tff(a115_type, type, ( % 1.07/1.28 a115: $i)). % 1.07/1.28 tff(tptp_fun__i_val_18_type, type, ( % 1.07/1.28 tptp_fun__i_val_18: $i)). % 1.07/1.28 tff(a64_type, type, ( % 1.07/1.28 a64: $i)). % 1.07/1.28 tff(tptp_fun__i_val_35_type, type, ( % 1.07/1.28 tptp_fun__i_val_35: $i)). % 1.07/1.28 tff(a132_type, type, ( % 1.07/1.28 a132: $i)). % 1.07/1.28 tff(tptp_fun__i_val_39_type, type, ( % 1.07/1.28 tptp_fun__i_val_39: $i)). % 1.07/1.28 tff(a95_type, type, ( % 1.07/1.28 a95: $i)). % 1.07/1.28 tff(tptp_fun__i_val_42_type, type, ( % 1.07/1.28 tptp_fun__i_val_42: $i)). % 1.07/1.28 tff(a67_type, type, ( % 1.07/1.28 a67: $i)). % 1.07/1.28 tff(tptp_fun__i_val_5_type, type, ( % 1.07/1.28 tptp_fun__i_val_5: $i)). % 1.07/1.28 tff(a35_type, type, ( % 1.07/1.28 a35: $i)). % 1.07/1.28 tff(tptp_fun__i_val_26_type, type, ( % 1.07/1.28 tptp_fun__i_val_26: $i)). % 1.07/1.28 tff(a121_type, type, ( % 1.07/1.28 a121: $i)). % 1.07/1.28 tff(tptp_fun__i_val_41_type, type, ( % 1.07/1.28 tptp_fun__i_val_41: $i)). % 1.07/1.28 tff(a93_type, type, ( % 1.07/1.28 a93: $i)). % 1.07/1.28 tff(c5_0_type, type, ( % 1.07/1.28 c5_0: $o)). % 1.07/1.28 tff(tptp_fun__i_val_22_type, type, ( % 1.07/1.28 tptp_fun__i_val_22: $i)). % 1.07/1.28 tff(a84_type, type, ( % 1.07/1.28 a84: $i)). % 1.07/1.28 tff(tptp_fun__i_val_37_type, type, ( % 1.07/1.28 tptp_fun__i_val_37: $i)). % 1.07/1.28 tff(a116_type, type, ( % 1.07/1.28 a116: $i)). % 1.07/1.28 tff(tptp_fun__i_val_45_type, type, ( % 1.07/1.28 tptp_fun__i_val_45: $i)). % 1.07/1.28 tff(a87_type, type, ( % 1.07/1.28 a87: $i)). % 1.07/1.28 tff(tptp_fun__i_val_30_type, type, ( % 1.07/1.28 tptp_fun__i_val_30: $i)). % 1.07/1.28 tff(a136_type, type, ( % 1.07/1.28 a136: $i)). % 1.07/1.28 tff(tptp_fun__i_val_44_type, type, ( % 1.07/1.28 tptp_fun__i_val_44: $i)). % 1.07/1.28 tff(a56_type, type, ( % 1.07/1.28 a56: $i)). % 1.07/1.28 tff(k!894_type, type, ( % 1.07/1.28 k!894: $i > $i)). % 1.07/1.28 tff(ndr1_1_type, type, ( % 1.07/1.28 ndr1_1: $i > $o)). % 1.07/1.28 tff(k!893_type, type, ( % 1.07/1.28 k!893: $i > $i)). % 1.07/1.28 tff(c7_2_type, type, ( % 1.07/1.28 c7_2: ( $i * $i ) > $o)). % 1.07/1.28 tff(c5_1_type, type, ( % 1.07/1.28 c5_1: $i > $o)). % 1.07/1.28 tff(c3_1_type, type, ( % 1.07/1.28 c3_1: $i > $o)). % 1.07/1.28 tff(c2_1_type, type, ( % 1.07/1.28 c2_1: $i > $o)). % 1.07/1.28 tff(c1_2_type, type, ( % 1.07/1.28 c1_2: ( $i * $i ) > $o)). % 1.07/1.28 tff(c4_1_type, type, ( % 1.07/1.28 c4_1: $i > $o)). % 1.07/1.28 tff(c1_1_type, type, ( % 1.07/1.28 c1_1: $i > $o)). % 1.07/1.28 tff(c3_2_type, type, ( % 1.07/1.28 c3_2: ( $i * $i ) > $o)). % 1.07/1.28 tff(c4_2_type, type, ( % 1.07/1.28 c4_2: ( $i * $i ) > $o)). % 1.07/1.28 tff(c7_1_type, type, ( % 1.07/1.28 c7_1: $i > $o)). % 1.07/1.28 tff(c5_2_type, type, ( % 1.07/1.28 c5_2: ( $i * $i ) > $o)). % 1.07/1.28 tff(c8_2_type, type, ( % 1.07/1.28 c8_2: ( $i * $i ) > $o)). % 1.07/1.28 tff(c6_1_type, type, ( % 1.07/1.28 c6_1: $i > $o)). % 1.07/1.28 tff(c8_1_type, type, ( % 1.07/1.28 c8_1: $i > $o)). % 1.07/1.28 tff(c2_2_type, type, ( % 1.07/1.28 c2_2: ( $i * $i ) > $o)). % 1.07/1.28 tff(c6_2_type, type, ( % 1.07/1.28 c6_2: ( $i * $i ) > $o)). % 1.07/1.28 tff(formula1, axiom, % 1.07/1.28 a59 = $i!val!16). % 1.07/1.28 tff(formula2, axiom, % 1.07/1.28 a117 = $i!val!24). % 1.07/1.28 tff(formula3, axiom, % 1.07/1.28 c7_0 <=> $true). % 1.07/1.28 tff(formula4, axiom, % 1.07/1.28 a18 = $i!val!0). % 1.07/1.28 tff(formula5, axiom, % 1.07/1.28 a47 = $i!val!9). % 1.07/1.28 tff(formula6, axiom, % 1.07/1.28 a83 = $i!val!21). % 1.07/1.28 tff(formula7, axiom, % 1.07/1.28 c8_0 <=> $false). % 1.07/1.28 tff(formula8, axiom, % 1.07/1.28 a43 = $i!val!7). % 1.07/1.28 tff(formula9, axiom, % 1.07/1.28 a58 = $i!val!38). % 1.07/1.28 tff(formula10, axiom, % 1.07/1.28 a122 = $i!val!27). % 1.07/1.28 tff(formula11, axiom, % 1.07/1.28 a82 = $i!val!20). % 1.07/1.28 tff(formula12, axiom, % 1.07/1.28 a27 = $i!val!1). % 1.07/1.28 tff(formula13, axiom, % 1.07/1.28 a123 = $i!val!28). % 1.07/1.28 tff(formula14, axiom, % 1.07/1.28 a68 = $i!val!19). % 1.07/1.28 tff(formula15, axiom, % 1.07/1.28 a55 = $i!val!15). % 1.07/1.28 tff(formula16, axiom, % 1.07/1.28 a88 = $i!val!43). % 1.07/1.28 tff(formula17, axiom, % 1.07/1.28 a94 = $i!val!40). % 1.07/1.28 tff(formula18, axiom, % 1.07/1.28 a31 = $i!val!4). % 1.07/1.28 tff(formula19, axiom, % 1.07/1.28 a36 = $i!val!6). % 1.07/1.28 tff(formula20, axiom, % 1.07/1.28 c1_0 <=> $false). % 1.07/1.28 tff(formula21, axiom, % 1.07/1.28 a108 = $i!val!32). % 1.07/1.28 tff(formula22, axiom, % 1.07/1.28 a54 = $i!val!14). % 1.07/1.28 tff(formula23, axiom, % 1.07/1.28 a29 = $i!val!2). % 1.07/1.28 tff(formula24, axiom, % 1.07/1.28 a134 = $i!val!29). % 1.07/1.28 tff(formula25, axiom, % 1.07/1.28 a30 = $i!val!3). % 1.07/1.28 tff(formula26, axiom, % 1.07/1.28 a48 = $i!val!10). % 1.07/1.28 tff(formula27, axiom, % 1.07/1.28 c4_0 <=> $true). % 1.07/1.28 tff(formula28, axiom, % 1.07/1.28 a51 = $i!val!12). % 1.07/1.28 tff(formula29, axiom, % 1.07/1.28 a34 = $i!val!34). % 1.07/1.28 tff(formula30, axiom, % 1.07/1.28 c2_0 <=> $false). % 1.07/1.28 tff(formula31, axiom, % 1.07/1.28 c6_0 <=> $true). % 1.07/1.28 tff(formula32, axiom, % 1.07/1.28 a49 = $i!val!11). % 1.07/1.28 tff(formula33, axiom, % 1.07/1.28 a61 = $i!val!17). % 1.07/1.28 tff(formula34, axiom, % 1.07/1.28 a104 = $i!val!23). % 1.07/1.28 tff(formula35, axiom, % 1.07/1.28 a53 = $i!val!13). % 1.07/1.28 tff(formula36, axiom, % 1.07/1.28 a137 = $i!val!31). % 1.07/1.28 tff(formula37, axiom, % 1.07/1.28 ndr1_0 <=> $true). % 1.07/1.28 tff(formula38, axiom, % 1.07/1.28 c3_0 <=> $false). % 1.07/1.28 tff(formula39, axiom, % 1.07/1.28 a100 = $i!val!36). % 1.07/1.28 tff(formula40, axiom, % 1.07/1.28 a45 = $i!val!8). % 1.07/1.28 tff(formula41, axiom, % 1.07/1.28 a120 = $i!val!25). % 1.07/1.28 tff(formula42, axiom, % 1.07/1.28 a115 = $i!val!33). % 1.07/1.28 tff(formula43, axiom, % 1.07/1.28 a64 = $i!val!18). % 1.07/1.28 tff(formula44, axiom, % 1.07/1.28 a132 = $i!val!35). % 1.07/1.28 tff(formula45, axiom, % 1.07/1.28 a95 = $i!val!39). % 1.07/1.28 tff(formula46, axiom, % 1.07/1.28 a67 = $i!val!42). % 1.07/1.28 tff(formula47, axiom, % 1.07/1.28 a35 = $i!val!5). % 1.07/1.28 tff(formula48, axiom, % 1.07/1.28 a121 = $i!val!26). % 1.07/1.28 tff(formula49, axiom, % 1.07/1.28 a93 = $i!val!41). % 1.07/1.28 tff(formula50, axiom, % 1.07/1.28 c5_0 <=> $true). % 1.07/1.28 tff(formula51, axiom, % 1.07/1.28 a84 = $i!val!22). % 1.07/1.28 tff(formula52, axiom, % 1.07/1.28 a116 = $i!val!37). % 1.07/1.28 tff(formula53, axiom, % 1.07/1.28 a87 = $i!val!45). % 1.07/1.28 tff(formula54, axiom, % 1.07/1.28 a136 = $i!val!30). % 1.07/1.28 tff(formula55, axiom, % 1.07/1.28 a56 = $i!val!44). % 1.07/1.28 tff(formula56, axiom, % 1.07/1.28 ![X0: $i] : (ndr1_1(X0) <=> ((k!894(X0) = $i!val!9) | (k!894(X0) = $i!val!21) | (k!894(X0) = $i!val!13) | (k!894(X0) = $i!val!24) | (k!894(X0) = $i!val!30) | (k!894(X0) = $i!val!2) | (k!894(X0) = $i!val!27) | (k!894(X0) = $i!val!5)))). % 1.07/1.28 tff(formula57, axiom, % 1.07/1.28 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!894(X1) = $i!val!2) & (k!893(X0) = $i!val!3)) | ((k!894(X1) = $i!val!27) & (k!893(X0) = $i!val!44)) | ((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!11)) | ((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!38)) | ((k!894(X1) = $i!val!13) & (k!893(X0) = $i!val!15)) | ((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!20)) | ((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!35)) | ((k!894(X1) = $i!val!9) & (k!893(X0) = $i!val!11)) | ((k!894(X1) = $i!val!13) & (k!893(X0) = $i!val!44)) | ((k!894(X1) = $i!val!2) & (k!893(X0) = $i!val!44)) | ((k!894(X1) = $i!val!5) & (k!893(X0) = $i!val!44))))). % 1.07/1.28 tff(formula58, axiom, % 1.07/1.28 ![X0: $i] : (c5_1(X0) <=> ((~(k!894(X0) = $i!val!5)) & (~(k!894(X0) = $i!val!24)) & (~(k!894(X0) = $i!val!9)) & (~(k!894(X0) = $i!val!19))))). % 1.07/1.28 tff(formula59, axiom, % 1.07/1.28 ![X0: $i] : (c3_1(X0) <=> ((k!894(X0) = $i!val!18) | (k!894(X0) = $i!val!26) | (k!894(X0) = $i!val!12) | (k!894(X0) = $i!val!16) | (k!894(X0) = $i!val!27)))). % 1.07/1.28 tff(formula60, axiom, % 1.07/1.28 ![X0: $i] : (c2_1(X0) <=> (k!894(X0) = $i!val!27))). % 1.07/1.28 tff(formula61, axiom, % 1.07/1.28 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((~((k!894(X1) = $i!val!23) & (k!893(X0) = $i!val!38))) & (~((k!894(X1) = $i!val!23) & (k!893(X0) = $i!val!20))) & (~((k!894(X1) = $i!val!5) & (k!893(X0) = $i!val!38))) & (~((k!894(X1) = $i!val!5) & (k!893(X0) = $i!val!20))) & (~((k!894(X1) = $i!val!27) & (k!893(X0) = $i!val!28))) & (~((k!894(X1) = $i!val!9) & (k!893(X0) = $i!val!11))) & (~((k!894(X1) = $i!val!9) & (k!893(X0) = $i!val!10)))))). % 1.07/1.28 tff(formula62, axiom, % 1.07/1.28 ![X0: $i] : (c4_1(X0) <=> ((k!894(X0) = $i!val!18) | (k!894(X0) = $i!val!29) | (k!894(X0) = $i!val!21) | (k!894(X0) = $i!val!24) | (k!894(X0) = $i!val!19) | (k!894(X0) = $i!val!41) | (k!894(X0) = $i!val!26) | (k!894(X0) = $i!val!2)))). % 1.07/1.28 tff(formula63, axiom, % 1.07/1.28 ![X0: $i] : (c1_1(X0) <=> ((~(k!894(X0) = $i!val!2)) & (~(k!894(X0) = $i!val!27)) & (~(k!894(X0) = $i!val!18))))). % 1.07/1.28 tff(formula64, axiom, % 1.07/1.28 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((~((k!894(X1) = $i!val!24) & (k!893(X0) = $i!val!33))) & (~((k!894(X1) = $i!val!27) & (k!893(X0) = $i!val!33))) & (~((k!894(X1) = $i!val!27) & (k!893(X0) = $i!val!28))) & (~((k!894(X1) = $i!val!5) & (k!893(X0) = $i!val!6)))))). % 1.07/1.28 tff(formula65, axiom, % 1.07/1.28 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!36)) | ((k!894(X1) = $i!val!21) & (k!893(X0) = $i!val!36)) | ((k!894(X1) = $i!val!13) & (k!893(X0) = $i!val!14))))). % 1.07/1.28 tff(formula66, axiom, % 1.07/1.28 ![X0: $i] : (c7_1(X0) <=> ((k!894(X0) = $i!val!9) | (k!894(X0) = $i!val!24) | (k!894(X0) = $i!val!27) | (k!894(X0) = $i!val!5)))). % 1.07/1.28 tff(formula67, axiom, % 1.07/1.28 k!893($i!val!17) = $i!val!17). % 1.07/1.28 tff(formula68, axiom, % 1.07/1.28 k!893($i!val!38) = $i!val!38). % 1.07/1.28 tff(formula69, axiom, % 1.07/1.28 k!893($i!val!7) = $i!val!7). % 1.07/1.28 tff(formula70, axiom, % 1.07/1.28 k!893($i!val!20) = $i!val!20). % 1.07/1.28 tff(formula71, axiom, % 1.07/1.28 k!893($i!val!31) = $i!val!31). % 1.07/1.28 tff(formula72, axiom, % 1.07/1.28 k!893($i!val!28) = $i!val!28). % 1.07/1.28 tff(formula73, axiom, % 1.07/1.28 k!893($i!val!43) = $i!val!43). % 1.07/1.28 tff(formula74, axiom, % 1.07/1.28 k!893($i!val!36) = $i!val!36). % 1.07/1.28 tff(formula75, axiom, % 1.07/1.28 k!893($i!val!15) = $i!val!15). % 1.07/1.28 tff(formula76, axiom, % 1.07/1.28 k!893($i!val!40) = $i!val!40). % 1.07/1.28 tff(formula77, axiom, % 1.07/1.28 k!893($i!val!8) = $i!val!8). % 1.07/1.28 tff(formula78, axiom, % 1.07/1.28 k!893($i!val!33) = $i!val!33). % 1.07/1.28 tff(formula79, axiom, % 1.07/1.28 k!893($i!val!4) = $i!val!4). % 1.07/1.28 tff(formula80, axiom, % 1.07/1.28 k!893($i!val!6) = $i!val!6). % 1.07/1.28 tff(formula81, axiom, % 1.07/1.28 k!893($i!val!35) = $i!val!35). % 1.07/1.28 tff(formula82, axiom, % 1.07/1.28 k!893($i!val!39) = $i!val!39). % 1.07/1.28 tff(formula83, axiom, % 1.07/1.28 k!893($i!val!42) = $i!val!42). % 1.07/1.28 tff(formula84, axiom, % 1.07/1.28 k!893($i!val!32) = $i!val!32). % 1.07/1.28 tff(formula85, axiom, % 1.07/1.28 k!893($i!val!14) = $i!val!14). % 1.07/1.28 tff(formula86, axiom, % 1.07/1.28 k!893($i!val!10) = $i!val!10). % 1.07/1.28 tff(formula87, axiom, % 1.07/1.28 k!893($i!val!3) = $i!val!3). % 1.07/1.28 tff(formula88, axiom, % 1.07/1.28 k!893($i!val!22) = $i!val!22). % 1.07/1.28 tff(formula89, axiom, % 1.07/1.28 k!893($i!val!37) = $i!val!37). % 1.07/1.28 tff(formula90, axiom, % 1.07/1.28 k!893($i!val!45) = $i!val!45). % 1.07/1.28 tff(formula91, axiom, % 1.07/1.28 k!893($i!val!44) = $i!val!44). % 1.07/1.28 tff(formula92, axiom, % 1.07/1.28 ![X0: $i] : ((~((($i!val!17 = X0)) | (($i!val!38 = X0)) | (($i!val!7 = X0)) | (($i!val!20 = X0)) | (($i!val!31 = X0)) | (($i!val!28 = X0)) | (($i!val!43 = X0)) | (($i!val!36 = X0)) | (($i!val!15 = X0)) | (($i!val!40 = X0)) | (($i!val!8 = X0)) | (($i!val!33 = X0)) | (($i!val!4 = X0)) | (($i!val!6 = X0)) | (($i!val!35 = X0)) | (($i!val!39 = X0)) | (($i!val!42 = X0)) | (($i!val!32 = X0)) | (($i!val!14 = X0)) | (($i!val!10 = X0)) | (($i!val!3 = X0)) | (($i!val!22 = X0)) | (($i!val!37 = X0)) | (($i!val!45 = X0)) | (($i!val!44 = X0)))) => (k!893(X0) = $i!val!11))). % 1.07/1.28 tff(formula93, axiom, % 1.07/1.28 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((~((k!894(X1) = $i!val!2) & (k!893(X0) = $i!val!44))) & (~((k!894(X1) = $i!val!2) & (k!893(X0) = $i!val!3))) & (~((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!32)))))). % 1.07/1.28 tff(formula94, axiom, % 1.07/1.28 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!894(X1) = $i!val!5) & (k!893(X0) = $i!val!45)) | ((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!43)) | ((k!894(X1) = $i!val!27) & (k!893(X0) = $i!val!45)) | ((k!894(X1) = $i!val!2) & (k!893(X0) = $i!val!3)) | ((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!40)) | ((k!894(X1) = $i!val!24) & (k!893(X0) = $i!val!45)) | ((k!894(X1) = $i!val!9) & (k!893(X0) = $i!val!10)) | ((k!894(X1) = $i!val!2) & (k!893(X0) = $i!val!44))))). % 1.07/1.28 tff(formula95, axiom, % 1.07/1.28 ![X0: $i] : (c6_1(X0) <=> (~(k!894(X0) = $i!val!9)))). % 1.07/1.28 tff(formula96, axiom, % 1.07/1.28 ![X0: $i] : (c8_1(X0) <=> ((k!894(X0) = $i!val!24) | (k!894(X0) = $i!val!27)))). % 1.07/1.28 tff(formula97, axiom, % 1.07/1.28 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!894(X1) = $i!val!2) & (k!893(X0) = $i!val!3)) | ((k!894(X1) = $i!val!13) & (k!893(X0) = $i!val!15)) | ((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!36)) | ((k!894(X1) = $i!val!21) & (k!893(X0) = $i!val!36))))). % 1.07/1.28 tff(formula98, axiom, % 1.07/1.28 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!894(X1) = $i!val!13) & (k!893(X0) = $i!val!42)) | ((k!894(X1) = $i!val!2) & (k!893(X0) = $i!val!4)) | ((k!894(X1) = $i!val!13) & (k!893(X0) = $i!val!15)) | ((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!32)) | ((k!894(X1) = $i!val!30) & (k!893(X0) = $i!val!40))))). % 1.07/1.28 tff(formula99, axiom, % 1.07/1.28 k!894($i!val!24) = $i!val!24). % 1.07/1.28 tff(formula100, axiom, % 1.07/1.28 k!894($i!val!18) = $i!val!18). % 1.07/1.28 tff(formula101, axiom, % 1.07/1.28 k!894($i!val!34) = $i!val!34). % 1.07/1.28 tff(formula102, axiom, % 1.07/1.28 k!894($i!val!9) = $i!val!9). % 1.07/1.28 tff(formula103, axiom, % 1.07/1.28 k!894($i!val!21) = $i!val!21). % 1.07/1.28 tff(formula104, axiom, % 1.07/1.28 k!894($i!val!0) = $i!val!0). % 1.07/1.28 tff(formula105, axiom, % 1.07/1.28 k!894($i!val!2) = $i!val!2). % 1.07/1.28 tff(formula106, axiom, % 1.07/1.28 k!894($i!val!27) = $i!val!27). % 1.07/1.28 tff(formula107, axiom, % 1.07/1.28 k!894($i!val!5) = $i!val!5). % 1.07/1.28 tff(formula108, axiom, % 1.07/1.28 k!894($i!val!26) = $i!val!26). % 1.07/1.28 tff(formula109, axiom, % 1.07/1.28 k!894($i!val!29) = $i!val!29). % 1.07/1.28 tff(formula110, axiom, % 1.07/1.28 k!894($i!val!1) = $i!val!1). % 1.07/1.28 tff(formula111, axiom, % 1.07/1.28 k!894($i!val!13) = $i!val!13). % 1.07/1.28 tff(formula112, axiom, % 1.07/1.28 k!894($i!val!41) = $i!val!41). % 1.07/1.28 tff(formula113, axiom, % 1.07/1.28 k!894($i!val!23) = $i!val!23). % 1.07/1.28 tff(formula114, axiom, % 1.07/1.28 k!894($i!val!19) = $i!val!19). % 1.07/1.28 tff(formula115, axiom, % 1.07/1.28 k!894($i!val!30) = $i!val!30). % 1.07/1.28 tff(formula116, axiom, % 1.07/1.28 k!894($i!val!12) = $i!val!12). % 1.07/1.28 tff(formula117, axiom, % 1.07/1.28 k!894($i!val!25) = $i!val!25). % 1.07/1.28 tff(formula118, axiom, % 1.07/1.28 ![X0: $i] : ((~((($i!val!24 = X0)) | (($i!val!18 = X0)) | (($i!val!34 = X0)) | (($i!val!9 = X0)) | (($i!val!21 = X0)) | (($i!val!0 = X0)) | (($i!val!2 = X0)) | (($i!val!27 = X0)) | (($i!val!5 = X0)) | (($i!val!26 = X0)) | (($i!val!29 = X0)) | (($i!val!1 = X0)) | (($i!val!13 = X0)) | (($i!val!41 = X0)) | (($i!val!23 = X0)) | (($i!val!19 = X0)) | (($i!val!30 = X0)) | (($i!val!12 = X0)) | (($i!val!25 = X0)))) => (k!894(X0) = $i!val!16))). % 1.07/1.29 % SZS output end Model % 1.07/1.29 % E exiting %------------------------------------------------------------------------------