%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN521-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n009.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 05:39:27 AM UTC 2025 % Result : Satisfiable 0.11s 0.38s % Output : Model 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SYN521-1 : TPTP v9.0.0. Released v2.1.0. % 0.10/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n009.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Jun 20 12:37:33 EDT 2025 % 0.11/0.32 % CPUTime : % 0.11/0.38 % SZS status Satisfiable % 0.11/0.38 % SZS output start Model % 0.11/0.38 tff(tptp_fun__i_val_2_type, type, ( % 0.11/0.38 tptp_fun__i_val_2: $i)). % 0.11/0.38 tff(a92_type, type, ( % 0.11/0.38 a92: $i)). % 0.11/0.38 tff(ssSkC4_type, type, ( % 0.11/0.38 ssSkC4: $o)). % 0.11/0.38 tff(ssSkC3_type, type, ( % 0.11/0.38 ssSkC3: $o)). % 0.11/0.38 tff(tptp_fun__i_val_22_type, type, ( % 0.11/0.38 tptp_fun__i_val_22: $i)). % 0.11/0.38 tff(a73_type, type, ( % 0.11/0.38 a73: $i)). % 0.11/0.38 tff(c2_0_type, type, ( % 0.11/0.38 c2_0: $o)). % 0.11/0.38 tff(tptp_fun__i_val_11_type, type, ( % 0.11/0.38 tptp_fun__i_val_11: $i)). % 0.11/0.38 tff(a98_type, type, ( % 0.11/0.38 a98: $i)). % 0.11/0.38 tff(tptp_fun__i_val_5_type, type, ( % 0.11/0.38 tptp_fun__i_val_5: $i)). % 0.11/0.38 tff(a102_type, type, ( % 0.11/0.38 a102: $i)). % 0.11/0.38 tff(tptp_fun__i_val_14_type, type, ( % 0.11/0.38 tptp_fun__i_val_14: $i)). % 0.11/0.38 tff(a89_type, type, ( % 0.11/0.38 a89: $i)). % 0.11/0.38 tff(tptp_fun__i_val_18_type, type, ( % 0.11/0.38 tptp_fun__i_val_18: $i)). % 0.11/0.38 tff(a83_type, type, ( % 0.11/0.38 a83: $i)). % 0.11/0.38 tff(tptp_fun__i_val_17_type, type, ( % 0.11/0.38 tptp_fun__i_val_17: $i)). % 0.11/0.38 tff(a91_type, type, ( % 0.11/0.38 a91: $i)). % 0.11/0.38 tff(ssSkC1_type, type, ( % 0.11/0.38 ssSkC1: $o)). % 0.11/0.38 tff(ssSkC5_type, type, ( % 0.11/0.38 ssSkC5: $o)). % 0.11/0.38 tff(tptp_fun__i_val_7_type, type, ( % 0.11/0.38 tptp_fun__i_val_7: $i)). % 0.11/0.38 tff(a82_type, type, ( % 0.11/0.38 a82: $i)). % 0.11/0.38 tff(ssSkC0_type, type, ( % 0.11/0.38 ssSkC0: $o)). % 0.11/0.38 tff(ndr1_0_type, type, ( % 0.11/0.38 ndr1_0: $o)). % 0.11/0.38 tff(c3_0_type, type, ( % 0.11/0.38 c3_0: $o)). % 0.11/0.38 tff(tptp_fun__i_val_1_type, type, ( % 0.11/0.38 tptp_fun__i_val_1: $i)). % 0.11/0.38 tff(a101_type, type, ( % 0.11/0.38 a101: $i)). % 0.11/0.38 tff(a79_type, type, ( % 0.11/0.38 a79: $i)). % 0.11/0.38 tff(tptp_fun__i_val_3_type, type, ( % 0.11/0.38 tptp_fun__i_val_3: $i)). % 0.11/0.38 tff(a88_type, type, ( % 0.11/0.38 a88: $i)). % 0.11/0.38 tff(tptp_fun__i_val_23_type, type, ( % 0.11/0.38 tptp_fun__i_val_23: $i)). % 0.11/0.38 tff(a72_type, type, ( % 0.11/0.38 a72: $i)). % 0.11/0.38 tff(tptp_fun__i_val_25_type, type, ( % 0.11/0.38 tptp_fun__i_val_25: $i)). % 0.11/0.38 tff(a77_type, type, ( % 0.11/0.38 a77: $i)). % 0.11/0.38 tff(tptp_fun__i_val_12_type, type, ( % 0.11/0.38 tptp_fun__i_val_12: $i)). % 0.11/0.38 tff(a94_type, type, ( % 0.11/0.38 a94: $i)). % 0.11/0.38 tff(tptp_fun__i_val_19_type, type, ( % 0.11/0.38 tptp_fun__i_val_19: $i)). % 0.11/0.38 tff(a71_type, type, ( % 0.11/0.38 a71: $i)). % 0.11/0.38 tff(a100_type, type, ( % 0.11/0.38 a100: $i)). % 0.11/0.38 tff(tptp_fun__i_val_26_type, type, ( % 0.11/0.38 tptp_fun__i_val_26: $i)). % 0.11/0.38 tff(a78_type, type, ( % 0.11/0.38 a78: $i)). % 0.11/0.38 tff(tptp_fun__i_val_0_type, type, ( % 0.11/0.38 tptp_fun__i_val_0: $i)). % 0.11/0.38 tff(a74_type, type, ( % 0.11/0.38 a74: $i)). % 0.11/0.38 tff(c1_0_type, type, ( % 0.11/0.38 c1_0: $o)). % 0.11/0.38 tff(tptp_fun__i_val_6_type, type, ( % 0.11/0.38 tptp_fun__i_val_6: $i)). % 0.11/0.38 tff(a95_type, type, ( % 0.11/0.38 a95: $i)). % 0.11/0.38 tff(a97_type, type, ( % 0.11/0.38 a97: $i)). % 0.11/0.38 tff(tptp_fun__i_val_15_type, type, ( % 0.11/0.38 tptp_fun__i_val_15: $i)). % 0.11/0.38 tff(a103_type, type, ( % 0.11/0.38 a103: $i)). % 0.11/0.38 tff(tptp_fun__i_val_16_type, type, ( % 0.11/0.38 tptp_fun__i_val_16: $i)). % 0.11/0.38 tff(a96_type, type, ( % 0.11/0.38 a96: $i)). % 0.11/0.38 tff(a85_type, type, ( % 0.11/0.38 a85: $i)). % 0.11/0.38 tff(tptp_fun__i_val_13_type, type, ( % 0.11/0.38 tptp_fun__i_val_13: $i)). % 0.11/0.38 tff(a90_type, type, ( % 0.11/0.38 a90: $i)). % 0.11/0.38 tff(a93_type, type, ( % 0.11/0.38 a93: $i)). % 0.11/0.38 tff(tptp_fun__i_val_10_type, type, ( % 0.11/0.38 tptp_fun__i_val_10: $i)). % 0.11/0.38 tff(a99_type, type, ( % 0.11/0.38 a99: $i)). % 0.11/0.38 tff(c5_0_type, type, ( % 0.11/0.38 c5_0: $o)). % 0.11/0.38 tff(tptp_fun__i_val_4_type, type, ( % 0.11/0.38 tptp_fun__i_val_4: $i)). % 0.11/0.38 tff(a80_type, type, ( % 0.11/0.38 a80: $i)). % 0.11/0.38 tff(tptp_fun__i_val_21_type, type, ( % 0.11/0.38 tptp_fun__i_val_21: $i)). % 0.11/0.38 tff(a84_type, type, ( % 0.11/0.38 a84: $i)). % 0.11/0.38 tff(tptp_fun__i_val_8_type, type, ( % 0.11/0.38 tptp_fun__i_val_8: $i)). % 0.11/0.38 tff(a75_type, type, ( % 0.11/0.38 a75: $i)). % 0.11/0.38 tff(tptp_fun__i_val_9_type, type, ( % 0.11/0.38 tptp_fun__i_val_9: $i)). % 0.11/0.38 tff(a70_type, type, ( % 0.11/0.38 a70: $i)). % 0.11/0.38 tff(tptp_fun__i_val_20_type, type, ( % 0.11/0.38 tptp_fun__i_val_20: $i)). % 0.11/0.38 tff(a87_type, type, ( % 0.11/0.38 a87: $i)). % 0.11/0.38 tff(a81_type, type, ( % 0.11/0.38 a81: $i)). % 0.11/0.38 tff(c4_0_type, type, ( % 0.11/0.38 c4_0: $o)). % 0.11/0.38 tff(ssSkC2_type, type, ( % 0.11/0.38 ssSkC2: $o)). % 0.11/0.38 tff(tptp_fun__i_val_24_type, type, ( % 0.11/0.38 tptp_fun__i_val_24: $i)). % 0.11/0.38 tff(a86_type, type, ( % 0.11/0.38 a86: $i)). % 0.11/0.38 tff(k!0_type, type, ( % 0.11/0.38 k!0: $i > $i)). % 0.11/0.38 tff(ndr1_1_type, type, ( % 0.11/0.38 ndr1_1: $i > $o)). % 0.11/0.38 tff(c3_2_type, type, ( % 0.11/0.38 c3_2: ( $i * $i ) > $o)). % 0.11/0.38 tff(c4_2_type, type, ( % 0.11/0.38 c4_2: ( $i * $i ) > $o)). % 0.11/0.38 tff(ssSkP0_type, type, ( % 0.11/0.38 ssSkP0: $i > $o)). % 0.11/0.38 tff(k!1_type, type, ( % 0.11/0.38 k!1: $i > $i)). % 0.11/0.38 tff(c5_2_type, type, ( % 0.11/0.38 c5_2: ( $i * $i ) > $o)). % 0.11/0.38 tff(c3_1_type, type, ( % 0.11/0.38 c3_1: $i > $o)). % 0.11/0.38 tff(c2_1_type, type, ( % 0.11/0.38 c2_1: $i > $o)). % 0.11/0.38 tff(c2_2_type, type, ( % 0.11/0.38 c2_2: ( $i * $i ) > $o)). % 0.11/0.38 tff(c4_1_type, type, ( % 0.11/0.38 c4_1: $i > $o)). % 0.11/0.38 tff(c1_2_type, type, ( % 0.11/0.38 c1_2: ( $i * $i ) > $o)). % 0.11/0.38 tff(c1_1_type, type, ( % 0.11/0.38 c1_1: $i > $o)). % 0.11/0.39 tff(formula1, axiom, % 0.11/0.39 a92 = $i!val!2). % 0.11/0.39 tff(formula2, axiom, % 0.11/0.39 ssSkC4 <=> $true). % 0.11/0.39 tff(formula3, axiom, % 0.11/0.39 ssSkC3 <=> $false). % 0.11/0.39 tff(formula4, axiom, % 0.11/0.39 a73 = $i!val!22). % 0.11/0.39 tff(formula5, axiom, % 0.11/0.39 c2_0 <=> $false). % 0.11/0.39 tff(formula6, axiom, % 0.11/0.39 a98 = $i!val!11). % 0.11/0.39 tff(formula7, axiom, % 0.11/0.39 a102 = $i!val!5). % 0.11/0.39 tff(formula8, axiom, % 0.11/0.39 a89 = $i!val!14). % 0.11/0.39 tff(formula9, axiom, % 0.11/0.39 a83 = $i!val!18). % 0.11/0.39 tff(formula10, axiom, % 0.11/0.39 a91 = $i!val!17). % 0.11/0.39 tff(formula11, axiom, % 0.11/0.39 ssSkC1 <=> $true). % 0.11/0.39 tff(formula12, axiom, % 0.11/0.39 ssSkC5 <=> $false). % 0.11/0.39 tff(formula13, axiom, % 0.11/0.39 a82 = $i!val!7). % 0.11/0.39 tff(formula14, axiom, % 0.11/0.39 ssSkC0 <=> $true). % 0.11/0.39 tff(formula15, axiom, % 0.11/0.39 ndr1_0 <=> $true). % 0.11/0.39 tff(formula16, axiom, % 0.11/0.39 c3_0 <=> $false). % 0.11/0.39 tff(formula17, axiom, % 0.11/0.39 a101 = $i!val!1). % 0.11/0.39 tff(formula18, axiom, % 0.11/0.39 a79 = $i!val!1). % 0.11/0.39 tff(formula19, axiom, % 0.11/0.39 a88 = $i!val!3). % 0.11/0.39 tff(formula20, axiom, % 0.11/0.39 a72 = $i!val!23). % 0.11/0.39 tff(formula21, axiom, % 0.11/0.39 a77 = $i!val!25). % 0.11/0.39 tff(formula22, axiom, % 0.11/0.39 a94 = $i!val!12). % 0.11/0.39 tff(formula23, axiom, % 0.11/0.39 a71 = $i!val!19). % 0.11/0.39 tff(formula24, axiom, % 0.11/0.39 a100 = $i!val!17). % 0.11/0.39 tff(formula25, axiom, % 0.11/0.39 a78 = $i!val!26). % 0.11/0.39 tff(formula26, axiom, % 0.11/0.39 a74 = $i!val!0). % 0.11/0.39 tff(formula27, axiom, % 0.11/0.39 c1_0 <=> $false). % 0.11/0.39 tff(formula28, axiom, % 0.11/0.39 a95 = $i!val!6). % 0.11/0.39 tff(formula29, axiom, % 0.11/0.39 a97 = $i!val!1). % 0.11/0.39 tff(formula30, axiom, % 0.11/0.39 a103 = $i!val!15). % 0.11/0.39 tff(formula31, axiom, % 0.11/0.39 a96 = $i!val!16). % 0.11/0.39 tff(formula32, axiom, % 0.11/0.39 a85 = $i!val!17). % 0.11/0.39 tff(formula33, axiom, % 0.11/0.39 a90 = $i!val!13). % 0.11/0.39 tff(formula34, axiom, % 0.11/0.39 a93 = $i!val!2). % 0.11/0.39 tff(formula35, axiom, % 0.11/0.39 a99 = $i!val!10). % 0.11/0.39 tff(formula36, axiom, % 0.11/0.39 c5_0 <=> $false). % 0.11/0.39 tff(formula37, axiom, % 0.11/0.39 a80 = $i!val!4). % 0.11/0.39 tff(formula38, axiom, % 0.11/0.39 a84 = $i!val!21). % 0.11/0.39 tff(formula39, axiom, % 0.11/0.39 a75 = $i!val!8). % 0.11/0.39 tff(formula40, axiom, % 0.11/0.39 a70 = $i!val!9). % 0.11/0.39 tff(formula41, axiom, % 0.11/0.39 a87 = $i!val!20). % 0.11/0.39 tff(formula42, axiom, % 0.11/0.39 a81 = $i!val!1). % 0.11/0.39 tff(formula43, axiom, % 0.11/0.39 c4_0 <=> $false). % 0.11/0.39 tff(formula44, axiom, % 0.11/0.39 ssSkC2 <=> $true). % 0.11/0.39 tff(formula45, axiom, % 0.11/0.39 a86 = $i!val!24). % 0.11/0.39 tff(formula46, axiom, % 0.11/0.39 ![X0: $i] : (ndr1_1(X0) <=> ((k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!0)))). % 0.11/0.39 tff(formula47, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.11/0.39 tff(formula48, axiom, % 0.11/0.39 k!0($i!val!7) = $i!val!7). % 0.11/0.39 tff(formula49, axiom, % 0.11/0.39 k!0($i!val!0) = $i!val!0). % 0.11/0.39 tff(formula50, axiom, % 0.11/0.39 k!0($i!val!6) = $i!val!6). % 0.11/0.39 tff(formula51, axiom, % 0.11/0.39 k!0($i!val!4) = $i!val!4). % 0.11/0.39 tff(formula52, axiom, % 0.11/0.39 k!0($i!val!1) = $i!val!1). % 0.11/0.39 tff(formula53, axiom, % 0.11/0.39 k!0($i!val!9) = $i!val!9). % 0.11/0.39 tff(formula54, axiom, % 0.11/0.39 k!0($i!val!3) = $i!val!3). % 0.11/0.39 tff(formula55, axiom, % 0.11/0.39 k!0($i!val!5) = $i!val!5). % 0.11/0.39 tff(formula56, axiom, % 0.11/0.39 k!0($i!val!17) = $i!val!17). % 0.11/0.39 tff(formula57, axiom, % 0.11/0.39 k!0($i!val!25) = $i!val!25). % 0.11/0.39 tff(formula58, axiom, % 0.11/0.39 k!0($i!val!13) = $i!val!13). % 0.11/0.39 tff(formula59, axiom, % 0.11/0.39 ![X0: $i] : ((~((($i!val!7 = X0)) | (($i!val!0 = X0)) | (($i!val!6 = X0)) | (($i!val!4 = X0)) | (($i!val!1 = X0)) | (($i!val!9 = X0)) | (($i!val!3 = X0)) | (($i!val!5 = X0)) | (($i!val!17 = X0)) | (($i!val!25 = X0)) | (($i!val!13 = X0)))) => (k!0(X0) = $i!val!2))). % 0.11/0.39 tff(formula60, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)). % 0.11/0.39 tff(formula61, axiom, % 0.11/0.39 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.11/0.39 tff(formula62, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((k!0(X1) = $i!val!0) & (k!1(X0) = $i!val!8)))). % 0.11/0.39 tff(formula63, axiom, % 0.11/0.39 c3_1($i!val!2) <=> $true). % 0.11/0.39 tff(formula64, axiom, % 0.11/0.39 ![X0: $i] : ((~(($i!val!2 = X0))) => (c3_1(X0) <=> $false))). % 0.11/0.39 tff(formula65, axiom, % 0.11/0.39 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.11/0.39 tff(formula66, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((k!0(X1) = $i!val!2) & (k!1(X0) = $i!val!12)))). % 0.11/0.39 tff(formula67, axiom, % 0.11/0.39 k!1($i!val!22) = $i!val!22). % 0.11/0.39 tff(formula68, axiom, % 0.11/0.39 k!1($i!val!15) = $i!val!15). % 0.11/0.39 tff(formula69, axiom, % 0.11/0.39 k!1($i!val!11) = $i!val!11). % 0.11/0.39 tff(formula70, axiom, % 0.11/0.39 k!1($i!val!14) = $i!val!14). % 0.11/0.39 tff(formula71, axiom, % 0.11/0.39 k!1($i!val!18) = $i!val!18). % 0.11/0.39 tff(formula72, axiom, % 0.11/0.39 k!1($i!val!16) = $i!val!16). % 0.11/0.39 tff(formula73, axiom, % 0.11/0.39 k!1($i!val!10) = $i!val!10). % 0.11/0.39 tff(formula74, axiom, % 0.11/0.39 k!1($i!val!21) = $i!val!21). % 0.11/0.39 tff(formula75, axiom, % 0.11/0.39 k!1($i!val!8) = $i!val!8). % 0.11/0.39 tff(formula76, axiom, % 0.11/0.39 k!1($i!val!20) = $i!val!20). % 0.11/0.39 tff(formula77, axiom, % 0.11/0.39 k!1($i!val!23) = $i!val!23). % 0.11/0.39 tff(formula78, axiom, % 0.11/0.39 k!1($i!val!12) = $i!val!12). % 0.11/0.39 tff(formula79, axiom, % 0.11/0.39 k!1($i!val!19) = $i!val!19). % 0.11/0.39 tff(formula80, axiom, % 0.11/0.39 k!1($i!val!24) = $i!val!24). % 0.11/0.39 tff(formula81, axiom, % 0.11/0.39 ![X0: $i] : ((~((($i!val!22 = X0)) | (($i!val!15 = X0)) | (($i!val!11 = X0)) | (($i!val!14 = X0)) | (($i!val!18 = X0)) | (($i!val!16 = X0)) | (($i!val!10 = X0)) | (($i!val!21 = X0)) | (($i!val!8 = X0)) | (($i!val!20 = X0)) | (($i!val!23 = X0)) | (($i!val!12 = X0)) | (($i!val!19 = X0)) | (($i!val!24 = X0)))) => (k!1(X0) = $i!val!26))). % 0.11/0.39 tff(formula82, axiom, % 0.11/0.39 ![X0: $i] : (c4_1(X0) <=> (~(k!0(X0) = $i!val!13)))). % 0.11/0.39 tff(formula83, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)). % 0.11/0.39 tff(formula84, axiom, % 0.11/0.39 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.11/0.39 % SZS output end Model % 0.11/0.39 % E exiting %------------------------------------------------------------------------------