%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN547+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n010.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 05:39:33 AM UTC 2025 % Result : CounterSatisfiable 0.47s 0.68s % Output : Model 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN547+1 : TPTP v9.0.0. Released v2.1.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n010.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Jun 20 12:39:42 EDT 2025 % 0.12/0.33 % CPUTime : % 0.47/0.68 % SZS status CounterSatisfiable % 0.47/0.68 % SZS output start Model % 0.47/0.68 tff(tptp_fun__i_val_10_type, type, ( % 0.47/0.68 tptp_fun__i_val_10: $i)). % 0.47/0.68 tff(a535_type, type, ( % 0.47/0.68 a535: $i)). % 0.47/0.68 tff(tptp_fun__i_val_0_type, type, ( % 0.47/0.68 tptp_fun__i_val_0: $i)). % 0.47/0.68 tff(a494_type, type, ( % 0.47/0.68 a494: $i)). % 0.47/0.68 tff(tptp_fun__i_val_1_type, type, ( % 0.47/0.68 tptp_fun__i_val_1: $i)). % 0.47/0.68 tff(a495_type, type, ( % 0.47/0.68 a495: $i)). % 0.47/0.68 tff(tptp_fun__i_val_15_type, type, ( % 0.47/0.68 tptp_fun__i_val_15: $i)). % 0.47/0.68 tff(a565_type, type, ( % 0.47/0.68 a565: $i)). % 0.47/0.68 tff(tptp_fun__i_val_7_type, type, ( % 0.47/0.68 tptp_fun__i_val_7: $i)). % 0.47/0.68 tff(a521_type, type, ( % 0.47/0.68 a521: $i)). % 0.47/0.68 tff(tptp_fun__i_val_8_type, type, ( % 0.47/0.68 tptp_fun__i_val_8: $i)). % 0.47/0.68 tff(a533_type, type, ( % 0.47/0.68 a533: $i)). % 0.47/0.68 tff(tptp_fun__i_val_28_type, type, ( % 0.47/0.68 tptp_fun__i_val_28: $i)). % 0.47/0.68 tff(a515_type, type, ( % 0.47/0.68 a515: $i)). % 0.47/0.68 tff(tptp_fun__i_val_11_type, type, ( % 0.47/0.68 tptp_fun__i_val_11: $i)). % 0.47/0.68 tff(a536_type, type, ( % 0.47/0.68 a536: $i)). % 0.47/0.68 tff(c2_0_type, type, ( % 0.47/0.68 c2_0: $o)). % 0.47/0.68 tff(c7_0_type, type, ( % 0.47/0.68 c7_0: $o)). % 0.47/0.68 tff(c6_0_type, type, ( % 0.47/0.68 c6_0: $o)). % 0.47/0.68 tff(tptp_fun__i_val_17_type, type, ( % 0.47/0.68 tptp_fun__i_val_17: $i)). % 0.47/0.68 tff(a571_type, type, ( % 0.47/0.68 a571: $i)). % 0.47/0.68 tff(tptp_fun__i_val_20_type, type, ( % 0.47/0.68 tptp_fun__i_val_20: $i)). % 0.47/0.68 tff(a572_type, type, ( % 0.47/0.68 a572: $i)). % 0.47/0.68 tff(c8_0_type, type, ( % 0.47/0.68 c8_0: $o)). % 0.47/0.68 tff(tptp_fun__i_val_26_type, type, ( % 0.47/0.68 tptp_fun__i_val_26: $i)). % 0.47/0.68 tff(a548_type, type, ( % 0.47/0.68 a548: $i)). % 0.47/0.68 tff(tptp_fun__i_val_27_type, type, ( % 0.47/0.68 tptp_fun__i_val_27: $i)). % 0.47/0.68 tff(a467_type, type, ( % 0.47/0.68 a467: $i)). % 0.47/0.68 tff(tptp_fun__i_val_29_type, type, ( % 0.47/0.68 tptp_fun__i_val_29: $i)). % 0.47/0.68 tff(a516_type, type, ( % 0.47/0.68 a516: $i)). % 0.47/0.68 tff(tptp_fun__i_val_25_type, type, ( % 0.47/0.68 tptp_fun__i_val_25: $i)). % 0.47/0.68 tff(a487_type, type, ( % 0.47/0.68 a487: $i)). % 0.47/0.68 tff(tptp_fun__i_val_9_type, type, ( % 0.47/0.68 tptp_fun__i_val_9: $i)). % 0.47/0.68 tff(a534_type, type, ( % 0.47/0.68 a534: $i)). % 0.47/0.68 tff(ndr1_0_type, type, ( % 0.47/0.68 ndr1_0: $o)). % 0.47/0.68 tff(c3_0_type, type, ( % 0.47/0.68 c3_0: $o)). % 0.47/0.68 tff(tptp_fun__i_val_32_type, type, ( % 0.47/0.68 tptp_fun__i_val_32: $i)). % 0.47/0.68 tff(a588_type, type, ( % 0.47/0.68 a588: $i)). % 0.47/0.68 tff(tptp_fun__i_val_30_type, type, ( % 0.47/0.68 tptp_fun__i_val_30: $i)). % 0.47/0.68 tff(a583_type, type, ( % 0.47/0.68 a583: $i)). % 0.47/0.68 tff(tptp_fun__i_val_3_type, type, ( % 0.47/0.68 tptp_fun__i_val_3: $i)). % 0.47/0.68 tff(a499_type, type, ( % 0.47/0.68 a499: $i)). % 0.47/0.68 tff(tptp_fun__i_val_35_type, type, ( % 0.47/0.68 tptp_fun__i_val_35: $i)). % 0.47/0.68 tff(a474_type, type, ( % 0.47/0.68 a474: $i)). % 0.47/0.68 tff(tptp_fun__i_val_12_type, type, ( % 0.47/0.68 tptp_fun__i_val_12: $i)). % 0.47/0.68 tff(a544_type, type, ( % 0.47/0.68 a544: $i)). % 0.47/0.68 tff(tptp_fun__i_val_4_type, type, ( % 0.47/0.68 tptp_fun__i_val_4: $i)). % 0.47/0.68 tff(a500_type, type, ( % 0.47/0.68 a500: $i)). % 0.47/0.68 tff(c1_0_type, type, ( % 0.47/0.68 c1_0: $o)). % 0.47/0.68 tff(tptp_fun__i_val_22_type, type, ( % 0.47/0.68 tptp_fun__i_val_22: $i)). % 0.47/0.68 tff(a557_type, type, ( % 0.47/0.68 a557: $i)). % 0.47/0.68 tff(tptp_fun__i_val_33_type, type, ( % 0.47/0.68 tptp_fun__i_val_33: $i)). % 0.47/0.68 tff(a589_type, type, ( % 0.47/0.68 a589: $i)). % 0.47/0.68 tff(tptp_fun__i_val_24_type, type, ( % 0.47/0.68 tptp_fun__i_val_24: $i)). % 0.47/0.68 tff(a481_type, type, ( % 0.47/0.68 a481: $i)). % 0.47/0.68 tff(tptp_fun__i_val_5_type, type, ( % 0.47/0.68 tptp_fun__i_val_5: $i)). % 0.47/0.68 tff(a508_type, type, ( % 0.47/0.68 a508: $i)). % 0.47/0.68 tff(c4_0_type, type, ( % 0.47/0.68 c4_0: $o)). % 0.47/0.68 tff(tptp_fun__i_val_2_type, type, ( % 0.47/0.68 tptp_fun__i_val_2: $i)). % 0.47/0.68 tff(a498_type, type, ( % 0.47/0.68 a498: $i)). % 0.47/0.68 tff(tptp_fun__i_val_13_type, type, ( % 0.47/0.68 tptp_fun__i_val_13: $i)). % 0.47/0.68 tff(a545_type, type, ( % 0.47/0.68 a545: $i)). % 0.47/0.68 tff(c5_0_type, type, ( % 0.47/0.68 c5_0: $o)). % 0.47/0.68 tff(tptp_fun__i_val_23_type, type, ( % 0.47/0.68 tptp_fun__i_val_23: $i)). % 0.47/0.68 tff(a479_type, type, ( % 0.47/0.68 a479: $i)). % 0.47/0.68 tff(tptp_fun__i_val_14_type, type, ( % 0.47/0.68 tptp_fun__i_val_14: $i)). % 0.47/0.68 tff(a552_type, type, ( % 0.47/0.68 a552: $i)). % 0.47/0.68 tff(tptp_fun__i_val_31_type, type, ( % 0.47/0.68 tptp_fun__i_val_31: $i)). % 0.47/0.68 tff(a593_type, type, ( % 0.47/0.68 a593: $i)). % 0.47/0.68 tff(tptp_fun__i_val_6_type, type, ( % 0.47/0.68 tptp_fun__i_val_6: $i)). % 0.47/0.68 tff(a520_type, type, ( % 0.47/0.68 a520: $i)). % 0.47/0.68 tff(tptp_fun__i_val_34_type, type, ( % 0.47/0.68 tptp_fun__i_val_34: $i)). % 0.47/0.68 tff(a576_type, type, ( % 0.47/0.68 a576: $i)). % 0.47/0.68 tff(tptp_fun__i_val_19_type, type, ( % 0.47/0.68 tptp_fun__i_val_19: $i)). % 0.47/0.68 tff(a600_type, type, ( % 0.47/0.68 a600: $i)). % 0.47/0.68 tff(tptp_fun__i_val_21_type, type, ( % 0.47/0.68 tptp_fun__i_val_21: $i)). % 0.47/0.68 tff(a459_type, type, ( % 0.47/0.68 a459: $i)). % 0.47/0.68 tff(tptp_fun__i_val_16_type, type, ( % 0.47/0.68 tptp_fun__i_val_16: $i)). % 0.47/0.68 tff(a570_type, type, ( % 0.47/0.68 a570: $i)). % 0.47/0.68 tff(tptp_fun__i_val_18_type, type, ( % 0.47/0.68 tptp_fun__i_val_18: $i)). % 0.47/0.68 tff(a573_type, type, ( % 0.47/0.68 a573: $i)). % 0.47/0.68 tff(k!171_type, type, ( % 0.47/0.68 k!171: $i > $i)). % 0.47/0.68 tff(ndr1_1_type, type, ( % 0.47/0.68 ndr1_1: $i > $o)). % 0.47/0.68 tff(k!170_type, type, ( % 0.47/0.68 k!170: $i > $i)). % 0.47/0.68 tff(c7_2_type, type, ( % 0.47/0.68 c7_2: ( $i * $i ) > $o)). % 0.47/0.68 tff(c5_1_type, type, ( % 0.47/0.68 c5_1: $i > $o)). % 0.47/0.68 tff(c2_1_type, type, ( % 0.47/0.68 c2_1: $i > $o)). % 0.47/0.68 tff(c3_1_type, type, ( % 0.47/0.68 c3_1: $i > $o)). % 0.47/0.68 tff(c4_1_type, type, ( % 0.47/0.68 c4_1: $i > $o)). % 0.47/0.68 tff(c1_2_type, type, ( % 0.47/0.68 c1_2: ( $i * $i ) > $o)). % 0.47/0.68 tff(c1_1_type, type, ( % 0.47/0.68 c1_1: $i > $o)). % 0.47/0.68 tff(c3_2_type, type, ( % 0.47/0.68 c3_2: ( $i * $i ) > $o)). % 0.47/0.68 tff(c4_2_type, type, ( % 0.47/0.68 c4_2: ( $i * $i ) > $o)). % 0.47/0.68 tff(c7_1_type, type, ( % 0.47/0.68 c7_1: $i > $o)). % 0.47/0.68 tff(c5_2_type, type, ( % 0.47/0.68 c5_2: ( $i * $i ) > $o)). % 0.47/0.68 tff(c8_2_type, type, ( % 0.47/0.68 c8_2: ( $i * $i ) > $o)). % 0.47/0.68 tff(c6_2_type, type, ( % 0.47/0.68 c6_2: ( $i * $i ) > $o)). % 0.47/0.68 tff(c8_1_type, type, ( % 0.47/0.68 c8_1: $i > $o)). % 0.47/0.68 tff(c2_2_type, type, ( % 0.47/0.68 c2_2: ( $i * $i ) > $o)). % 0.47/0.68 tff(c6_1_type, type, ( % 0.47/0.68 c6_1: $i > $o)). % 0.47/0.68 tff(formula1, axiom, % 0.47/0.68 a535 = $i!val!10). % 0.47/0.68 tff(formula2, axiom, % 0.47/0.68 a494 = $i!val!0). % 0.47/0.68 tff(formula3, axiom, % 0.47/0.68 a495 = $i!val!1). % 0.47/0.68 tff(formula4, axiom, % 0.47/0.68 a565 = $i!val!15). % 0.47/0.68 tff(formula5, axiom, % 0.47/0.68 a521 = $i!val!7). % 0.47/0.68 tff(formula6, axiom, % 0.47/0.68 a533 = $i!val!8). % 0.47/0.68 tff(formula7, axiom, % 0.47/0.68 a515 = $i!val!28). % 0.47/0.68 tff(formula8, axiom, % 0.47/0.68 a536 = $i!val!11). % 0.47/0.68 tff(formula9, axiom, % 0.47/0.68 c2_0 <=> $false). % 0.47/0.68 tff(formula10, axiom, % 0.47/0.68 c7_0 <=> $false). % 0.47/0.68 tff(formula11, axiom, % 0.47/0.68 c6_0 <=> $true). % 0.47/0.68 tff(formula12, axiom, % 0.47/0.68 a571 = $i!val!17). % 0.47/0.68 tff(formula13, axiom, % 0.47/0.68 a572 = $i!val!20). % 0.47/0.68 tff(formula14, axiom, % 0.47/0.68 c8_0 <=> $true). % 0.47/0.68 tff(formula15, axiom, % 0.47/0.68 a548 = $i!val!26). % 0.47/0.68 tff(formula16, axiom, % 0.47/0.68 a467 = $i!val!27). % 0.47/0.68 tff(formula17, axiom, % 0.47/0.68 a516 = $i!val!29). % 0.47/0.68 tff(formula18, axiom, % 0.47/0.68 a487 = $i!val!25). % 0.47/0.68 tff(formula19, axiom, % 0.47/0.68 a534 = $i!val!9). % 0.47/0.68 tff(formula20, axiom, % 0.47/0.68 ndr1_0 <=> $true). % 0.47/0.68 tff(formula21, axiom, % 0.47/0.68 c3_0 <=> $true). % 0.47/0.68 tff(formula22, axiom, % 0.47/0.68 a588 = $i!val!32). % 0.47/0.68 tff(formula23, axiom, % 0.47/0.68 a583 = $i!val!30). % 0.47/0.68 tff(formula24, axiom, % 0.47/0.68 a499 = $i!val!3). % 0.47/0.68 tff(formula25, axiom, % 0.47/0.68 a474 = $i!val!35). % 0.47/0.68 tff(formula26, axiom, % 0.47/0.68 a544 = $i!val!12). % 0.47/0.68 tff(formula27, axiom, % 0.47/0.68 a500 = $i!val!4). % 0.47/0.68 tff(formula28, axiom, % 0.47/0.68 c1_0 <=> $false). % 0.47/0.68 tff(formula29, axiom, % 0.47/0.68 a557 = $i!val!22). % 0.47/0.68 tff(formula30, axiom, % 0.47/0.68 a589 = $i!val!33). % 0.47/0.68 tff(formula31, axiom, % 0.47/0.68 a481 = $i!val!24). % 0.47/0.68 tff(formula32, axiom, % 0.47/0.68 a508 = $i!val!5). % 0.47/0.68 tff(formula33, axiom, % 0.47/0.68 c4_0 <=> $false). % 0.47/0.68 tff(formula34, axiom, % 0.47/0.68 a498 = $i!val!2). % 0.47/0.68 tff(formula35, axiom, % 0.47/0.68 a545 = $i!val!13). % 0.47/0.68 tff(formula36, axiom, % 0.47/0.68 c5_0 <=> $false). % 0.47/0.68 tff(formula37, axiom, % 0.47/0.68 a479 = $i!val!23). % 0.47/0.68 tff(formula38, axiom, % 0.47/0.68 a552 = $i!val!14). % 0.47/0.68 tff(formula39, axiom, % 0.47/0.68 a593 = $i!val!31). % 0.47/0.68 tff(formula40, axiom, % 0.47/0.68 a520 = $i!val!6). % 0.47/0.68 tff(formula41, axiom, % 0.47/0.68 a576 = $i!val!34). % 0.47/0.68 tff(formula42, axiom, % 0.47/0.68 a600 = $i!val!19). % 0.47/0.68 tff(formula43, axiom, % 0.47/0.68 a459 = $i!val!21). % 0.47/0.68 tff(formula44, axiom, % 0.47/0.68 a570 = $i!val!16). % 0.47/0.68 tff(formula45, axiom, % 0.47/0.68 a573 = $i!val!18). % 0.47/0.68 tff(formula46, axiom, % 0.47/0.68 ![X0: $i] : (ndr1_1(X0) <=> (~(k!171(X0) = $i!val!19)))). % 0.47/0.68 tff(formula47, axiom, % 0.47/0.68 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!171(X1) = $i!val!14) & (k!170(X0) = $i!val!20)) | ((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!32)) | ((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!21)) | ((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!28)) | ((k!171(X1) = $i!val!18) & (k!170(X0) = $i!val!21)) | ((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!21)) | ((k!171(X1) = $i!val!9) & (k!170(X0) = $i!val!30)) | ((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!30)) | ((k!171(X1) = $i!val!9) & (k!170(X0) = $i!val!35)) | ((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!28)) | ((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!30)) | ((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!35)) | ((k!171(X1) = $i!val!11) & (k!170(X0) = $i!val!35)) | ((k!171(X1) = $i!val!2) & (k!170(X0) = $i!val!3)) | ((k!171(X1) = $i!val!12) & (k!170(X0) = $i!val!28)) | ((k!171(X1) = $i!val!0) & (k!170(X0) = $i!val!30)) | ((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!30)) | ((k!171(X1) = $i!val!11) & (k!170(X0) = $i!val!21)) | ((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!35)) | ((k!171(X1) = $i!val!14) & (k!170(X0) = $i!val!30)) | ((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!28)) | ((k!171(X1) = $i!val!2) & (k!170(X0) = $i!val!24))))). % 0.47/0.68 tff(formula48, axiom, % 0.47/0.68 ![X0: $i] : (c5_1(X0) <=> ((k!171(X0) = $i!val!16) | (k!171(X0) = $i!val!15) | (k!171(X0) = $i!val!11)))). % 0.47/0.68 tff(formula49, axiom, % 0.47/0.68 ![X0: $i] : (c2_1(X0) <=> ((k!171(X0) = $i!val!14) | (k!171(X0) = $i!val!15)))). % 0.47/0.68 tff(formula50, axiom, % 0.47/0.68 ![X0: $i] : (c3_1(X0) <=> ((~(k!171(X0) = $i!val!9)) & (~(k!171(X0) = $i!val!8))))). % 0.47/0.68 tff(formula51, axiom, % 0.47/0.68 k!170($i!val!1) = $i!val!1). % 0.47/0.68 tff(formula52, axiom, % 0.47/0.68 k!170($i!val!4) = $i!val!4). % 0.47/0.68 tff(formula53, axiom, % 0.47/0.68 k!170($i!val!7) = $i!val!7). % 0.47/0.68 tff(formula54, axiom, % 0.47/0.68 k!170($i!val!28) = $i!val!28). % 0.47/0.68 tff(formula55, axiom, % 0.47/0.68 k!170($i!val!33) = $i!val!33). % 0.47/0.68 tff(formula56, axiom, % 0.47/0.68 k!170($i!val!26) = $i!val!26). % 0.47/0.68 tff(formula57, axiom, % 0.47/0.68 k!170($i!val!27) = $i!val!27). % 0.47/0.68 tff(formula58, axiom, % 0.47/0.68 k!170($i!val!17) = $i!val!17). % 0.47/0.68 tff(formula59, axiom, % 0.47/0.68 k!170($i!val!29) = $i!val!29). % 0.47/0.68 tff(formula60, axiom, % 0.47/0.68 k!170($i!val!20) = $i!val!20). % 0.47/0.68 tff(formula61, axiom, % 0.47/0.68 k!170($i!val!22) = $i!val!22). % 0.47/0.68 tff(formula62, axiom, % 0.47/0.68 k!170($i!val!24) = $i!val!24). % 0.47/0.68 tff(formula63, axiom, % 0.47/0.68 k!170($i!val!13) = $i!val!13). % 0.47/0.68 tff(formula64, axiom, % 0.47/0.68 k!170($i!val!23) = $i!val!23). % 0.47/0.68 tff(formula65, axiom, % 0.47/0.68 k!170($i!val!25) = $i!val!25). % 0.47/0.68 tff(formula66, axiom, % 0.47/0.68 k!170($i!val!31) = $i!val!31). % 0.47/0.68 tff(formula67, axiom, % 0.47/0.68 k!170($i!val!34) = $i!val!34). % 0.47/0.68 tff(formula68, axiom, % 0.47/0.68 k!170($i!val!32) = $i!val!32). % 0.47/0.68 tff(formula69, axiom, % 0.47/0.68 k!170($i!val!30) = $i!val!30). % 0.47/0.68 tff(formula70, axiom, % 0.47/0.68 k!170($i!val!21) = $i!val!21). % 0.47/0.68 tff(formula71, axiom, % 0.47/0.68 k!170($i!val!3) = $i!val!3). % 0.47/0.68 tff(formula72, axiom, % 0.47/0.68 k!170($i!val!10) = $i!val!10). % 0.47/0.68 tff(formula73, axiom, % 0.47/0.68 ![X0: $i] : ((~((($i!val!1 = X0)) | (($i!val!4 = X0)) | (($i!val!7 = X0)) | (($i!val!28 = X0)) | (($i!val!33 = X0)) | (($i!val!26 = X0)) | (($i!val!27 = X0)) | (($i!val!17 = X0)) | (($i!val!29 = X0)) | (($i!val!20 = X0)) | (($i!val!22 = X0)) | (($i!val!24 = X0)) | (($i!val!13 = X0)) | (($i!val!23 = X0)) | (($i!val!25 = X0)) | (($i!val!31 = X0)) | (($i!val!34 = X0)) | (($i!val!32 = X0)) | (($i!val!30 = X0)) | (($i!val!21 = X0)) | (($i!val!3 = X0)) | (($i!val!10 = X0)))) => (k!170(X0) = $i!val!35))). % 0.47/0.68 tff(formula74, axiom, % 0.47/0.68 ![X0: $i] : (c4_1(X0) <=> ((k!171(X0) = $i!val!16) | (k!171(X0) = $i!val!0)))). % 0.47/0.68 tff(formula75, axiom, % 0.47/0.68 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((~((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!24))) & (~((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!33))) & (~((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!21))) & (~((k!171(X1) = $i!val!12) & (k!170(X0) = $i!val!33))) & (~((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!18) & (k!170(X0) = $i!val!33))) & (~((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!33))) & (~((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!24))) & (~((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!2) & (k!170(X0) = $i!val!24))) & (~((k!171(X1) = $i!val!12) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!18) & (k!170(X0) = $i!val!24))) & (~((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!32))) & (~((k!171(X1) = $i!val!0) & (k!170(X0) = $i!val!32))) & (~((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!7)))))). % 0.47/0.68 tff(formula76, axiom, % 0.47/0.68 ![X0: $i] : (c1_1(X0) <=> ((k!171(X0) = $i!val!18) | (k!171(X0) = $i!val!0) | (k!171(X0) = $i!val!12) | (k!171(X0) = $i!val!6) | (k!171(X0) = $i!val!5)))). % 0.47/0.68 tff(formula77, axiom, % 0.47/0.68 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((~((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!35))) & (~((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!31))) & (~((k!171(X1) = $i!val!0) & (k!170(X0) = $i!val!26))) & (~((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!11) & (k!170(X0) = $i!val!21))) & (~((k!171(X1) = $i!val!12) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!18) & (k!170(X0) = $i!val!21))) & (~((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!21))) & (~((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!21))) & (~((k!171(X1) = $i!val!12) & (k!170(X0) = $i!val!13))) & (~((k!171(X1) = $i!val!0) & (k!170(X0) = $i!val!1)))))). % 0.47/0.68 tff(formula78, axiom, % 0.47/0.68 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!34)) | ((k!171(X1) = $i!val!12) & (k!170(X0) = $i!val!33)) | ((k!171(X1) = $i!val!0) & (k!170(X0) = $i!val!34)) | ((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!34)) | ((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!34)) | ((k!171(X1) = $i!val!9) & (k!170(X0) = $i!val!10)) | ((k!171(X1) = $i!val!2) & (k!170(X0) = $i!val!4)) | ((k!171(X1) = $i!val!12) & (k!170(X0) = $i!val!28)) | ((k!171(X1) = $i!val!14) & (k!170(X0) = $i!val!25))))). % 0.47/0.68 tff(formula79, axiom, % 0.47/0.68 k!171($i!val!0) = $i!val!0). % 0.47/0.68 tff(formula80, axiom, % 0.47/0.68 k!171($i!val!12) = $i!val!12). % 0.47/0.68 tff(formula81, axiom, % 0.47/0.68 k!171($i!val!9) = $i!val!9). % 0.47/0.68 tff(formula82, axiom, % 0.47/0.68 k!171($i!val!15) = $i!val!15). % 0.47/0.68 tff(formula83, axiom, % 0.47/0.68 k!171($i!val!14) = $i!val!14). % 0.47/0.68 tff(formula84, axiom, % 0.47/0.68 k!171($i!val!8) = $i!val!8). % 0.47/0.68 tff(formula85, axiom, % 0.47/0.68 k!171($i!val!6) = $i!val!6). % 0.47/0.68 tff(formula86, axiom, % 0.47/0.68 k!171($i!val!11) = $i!val!11). % 0.47/0.68 tff(formula87, axiom, % 0.47/0.68 k!171($i!val!19) = $i!val!19). % 0.47/0.68 tff(formula88, axiom, % 0.47/0.68 k!171($i!val!18) = $i!val!18). % 0.47/0.68 tff(formula89, axiom, % 0.47/0.68 k!171($i!val!16) = $i!val!16). % 0.47/0.68 tff(formula90, axiom, % 0.47/0.68 k!171($i!val!5) = $i!val!5). % 0.47/0.68 tff(formula91, axiom, % 0.47/0.68 ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!12 = X0)) | (($i!val!9 = X0)) | (($i!val!15 = X0)) | (($i!val!14 = X0)) | (($i!val!8 = X0)) | (($i!val!6 = X0)) | (($i!val!11 = X0)) | (($i!val!19 = X0)) | (($i!val!18 = X0)) | (($i!val!16 = X0)) | (($i!val!5 = X0)))) => (k!171(X0) = $i!val!2))). % 0.47/0.68 tff(formula92, axiom, % 0.47/0.68 ![X0: $i] : (c7_1(X0) <=> (~(k!171(X0) = $i!val!11)))). % 0.47/0.68 tff(formula93, axiom, % 0.47/0.68 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!171(X1) = $i!val!0) & (k!170(X0) = $i!val!32)) | ((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!32)) | ((k!171(X1) = $i!val!11) & (k!170(X0) = $i!val!35)) | ((k!171(X1) = $i!val!11) & (k!170(X0) = $i!val!21))))). % 0.47/0.68 tff(formula94, axiom, % 0.47/0.68 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> ((~((k!171(X1) = $i!val!2) & (k!170(X0) = $i!val!26))) & (~((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!22))) & (~((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!21))) & (~((k!171(X1) = $i!val!12) & (k!170(X0) = $i!val!13))) & (~((k!171(X1) = $i!val!18) & (k!170(X0) = $i!val!21))) & (~((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!34))) & (~((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!34))) & (~((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!34))) & (~((k!171(X1) = $i!val!0) & (k!170(X0) = $i!val!34))) & (~((k!171(X1) = $i!val!2) & (k!170(X0) = $i!val!3)))))). % 0.47/0.68 tff(formula95, axiom, % 0.47/0.68 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!171(X1) = $i!val!11) & (k!170(X0) = $i!val!23)) | ((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!23)) | ((k!171(X1) = $i!val!9) & (k!170(X0) = $i!val!35)) | ((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!35)) | ((k!171(X1) = $i!val!11) & (k!170(X0) = $i!val!35)) | ((k!171(X1) = $i!val!9) & (k!170(X0) = $i!val!23)) | ((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!31)) | ((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!35))))). % 0.47/0.68 tff(formula96, axiom, % 0.47/0.68 ![X0: $i] : (c8_1(X0) <=> ((k!171(X0) = $i!val!11) | (k!171(X0) = $i!val!9)))). % 0.47/0.68 tff(formula97, axiom, % 0.47/0.68 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((~((k!171(X1) = $i!val!15) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!14) & (k!170(X0) = $i!val!29))) & (~((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!5) & (k!170(X0) = $i!val!22))) & (~((k!171(X1) = $i!val!18) & (k!170(X0) = $i!val!29))) & (~((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!22))) & (~((k!171(X1) = $i!val!0) & (k!170(X0) = $i!val!22))) & (~((k!171(X1) = $i!val!11) & (k!170(X0) = $i!val!29))) & (~((k!171(X1) = $i!val!12) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!16) & (k!170(X0) = $i!val!29))) & (~((k!171(X1) = $i!val!9) & (k!170(X0) = $i!val!29))) & (~((k!171(X1) = $i!val!6) & (k!170(X0) = $i!val!28))) & (~((k!171(X1) = $i!val!2) & (k!170(X0) = $i!val!29))) & (~((k!171(X1) = $i!val!0) & (k!170(X0) = $i!val!29)))))). % 0.47/0.69 tff(formula98, axiom, % 0.47/0.69 ![X0: $i] : (c6_1(X0) <=> ((k!171(X0) = $i!val!15) | (k!171(X0) = $i!val!14)))). % 0.47/0.69 % SZS output end Model % 0.47/0.69 % E exiting %------------------------------------------------------------------------------