%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN463-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n014.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 05:39:12 AM UTC 2025 % Result : Satisfiable 0.62s 0.81s % Output : Model 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : SYN463-1 : TPTP v9.0.0. Released v2.1.0. % 0.09/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n014.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 12:36:39 EDT 2025 % 0.11/0.32 % CPUTime : % 0.62/0.81 % SZS status Satisfiable % 0.62/0.81 % SZS output start Model % 0.62/0.81 tff(tptp_fun__i_val_14_type, type, ( % 0.62/0.81 tptp_fun__i_val_14: $i)). % 0.62/0.81 tff(a1263_type, type, ( % 0.62/0.81 a1263: $i)). % 0.62/0.81 tff(hskp4_type, type, ( % 0.62/0.81 hskp4: $o)). % 0.62/0.81 tff(hskp14_type, type, ( % 0.62/0.81 hskp14: $o)). % 0.62/0.81 tff(hskp9_type, type, ( % 0.62/0.81 hskp9: $o)). % 0.62/0.81 tff(hskp15_type, type, ( % 0.62/0.81 hskp15: $o)). % 0.62/0.81 tff(tptp_fun__i_val_4_type, type, ( % 0.62/0.81 tptp_fun__i_val_4: $i)). % 0.62/0.81 tff(a1301_type, type, ( % 0.62/0.81 a1301: $i)). % 0.62/0.81 tff(tptp_fun__i_val_0_type, type, ( % 0.62/0.81 tptp_fun__i_val_0: $i)). % 0.62/0.81 tff(a1280_type, type, ( % 0.62/0.81 a1280: $i)). % 0.62/0.81 tff(hskp29_type, type, ( % 0.62/0.81 hskp29: $o)). % 0.62/0.81 tff(hskp1_type, type, ( % 0.62/0.81 hskp1: $o)). % 0.62/0.81 tff(tptp_fun__i_val_19_type, type, ( % 0.62/0.81 tptp_fun__i_val_19: $i)). % 0.62/0.81 tff(a1256_type, type, ( % 0.62/0.81 a1256: $i)). % 0.62/0.81 tff(hskp27_type, type, ( % 0.62/0.81 hskp27: $o)). % 0.62/0.81 tff(tptp_fun__i_val_23_type, type, ( % 0.62/0.81 tptp_fun__i_val_23: $i)). % 0.62/0.81 tff(a1272_type, type, ( % 0.62/0.81 a1272: $i)). % 0.62/0.81 tff(tptp_fun__i_val_9_type, type, ( % 0.62/0.81 tptp_fun__i_val_9: $i)). % 0.62/0.81 tff(a1274_type, type, ( % 0.62/0.81 a1274: $i)). % 0.62/0.81 tff(hskp10_type, type, ( % 0.62/0.81 hskp10: $o)). % 0.62/0.81 tff(tptp_fun__i_val_1_type, type, ( % 0.62/0.81 tptp_fun__i_val_1: $i)). % 0.62/0.81 tff(a1259_type, type, ( % 0.62/0.81 a1259: $i)). % 0.62/0.81 tff(tptp_fun__i_val_11_type, type, ( % 0.62/0.81 tptp_fun__i_val_11: $i)). % 0.62/0.81 tff(a1268_type, type, ( % 0.62/0.81 a1268: $i)). % 0.62/0.81 tff(tptp_fun__i_val_21_type, type, ( % 0.62/0.81 tptp_fun__i_val_21: $i)). % 0.62/0.81 tff(a1254_type, type, ( % 0.62/0.81 a1254: $i)). % 0.62/0.81 tff(tptp_fun__i_val_10_type, type, ( % 0.62/0.81 tptp_fun__i_val_10: $i)). % 0.62/0.81 tff(a1270_type, type, ( % 0.62/0.81 a1270: $i)). % 0.62/0.81 tff(tptp_fun__i_val_17_type, type, ( % 0.62/0.81 tptp_fun__i_val_17: $i)). % 0.62/0.81 tff(a1258_type, type, ( % 0.62/0.81 a1258: $i)). % 0.62/0.81 tff(tptp_fun__i_val_13_type, type, ( % 0.62/0.81 tptp_fun__i_val_13: $i)). % 0.62/0.81 tff(a1264_type, type, ( % 0.62/0.81 a1264: $i)). % 0.62/0.81 tff(hskp21_type, type, ( % 0.62/0.81 hskp21: $o)). % 0.62/0.81 tff(hskp28_type, type, ( % 0.62/0.81 hskp28: $o)). % 0.62/0.81 tff(hskp23_type, type, ( % 0.62/0.81 hskp23: $o)). % 0.62/0.81 tff(hskp17_type, type, ( % 0.62/0.81 hskp17: $o)). % 0.62/0.81 tff(hskp16_type, type, ( % 0.62/0.81 hskp16: $o)). % 0.62/0.81 tff(hskp0_type, type, ( % 0.62/0.81 hskp0: $o)). % 0.62/0.81 tff(tptp_fun__i_val_8_type, type, ( % 0.62/0.81 tptp_fun__i_val_8: $i)). % 0.62/0.81 tff(a1277_type, type, ( % 0.62/0.81 a1277: $i)). % 0.62/0.81 tff(hskp2_type, type, ( % 0.62/0.81 hskp2: $o)). % 0.62/0.81 tff(hskp26_type, type, ( % 0.62/0.81 hskp26: $o)). % 0.62/0.81 tff(tptp_fun__i_val_15_type, type, ( % 0.62/0.81 tptp_fun__i_val_15: $i)). % 0.62/0.81 tff(a1262_type, type, ( % 0.62/0.81 a1262: $i)). % 0.62/0.81 tff(hskp12_type, type, ( % 0.62/0.81 hskp12: $o)). % 0.62/0.81 tff(hskp24_type, type, ( % 0.62/0.81 hskp24: $o)). % 0.62/0.81 tff(hskp11_type, type, ( % 0.62/0.81 hskp11: $o)). % 0.62/0.81 tff(ndr1_0_type, type, ( % 0.62/0.81 ndr1_0: $o)). % 0.62/0.81 tff(tptp_fun__i_val_18_type, type, ( % 0.62/0.81 tptp_fun__i_val_18: $i)). % 0.62/0.81 tff(a1257_type, type, ( % 0.62/0.81 a1257: $i)). % 0.62/0.81 tff(hskp13_type, type, ( % 0.62/0.81 hskp13: $o)). % 0.62/0.81 tff(hskp7_type, type, ( % 0.62/0.81 hskp7: $o)). % 0.62/0.81 tff(hskp3_type, type, ( % 0.62/0.81 hskp3: $o)). % 0.62/0.81 tff(hskp5_type, type, ( % 0.62/0.81 hskp5: $o)). % 0.62/0.81 tff(tptp_fun__i_val_5_type, type, ( % 0.62/0.81 tptp_fun__i_val_5: $i)). % 0.62/0.81 tff(a1300_type, type, ( % 0.62/0.81 a1300: $i)). % 0.62/0.81 tff(hskp6_type, type, ( % 0.62/0.81 hskp6: $o)). % 0.62/0.81 tff(tptp_fun__i_val_7_type, type, ( % 0.62/0.81 tptp_fun__i_val_7: $i)). % 0.62/0.81 tff(a1283_type, type, ( % 0.62/0.81 a1283: $i)). % 0.62/0.81 tff(tptp_fun__i_val_16_type, type, ( % 0.62/0.81 tptp_fun__i_val_16: $i)). % 0.62/0.81 tff(a1261_type, type, ( % 0.62/0.81 a1261: $i)). % 0.62/0.81 tff(tptp_fun__i_val_22_type, type, ( % 0.62/0.81 tptp_fun__i_val_22: $i)). % 0.62/0.81 tff(a1279_type, type, ( % 0.62/0.81 a1279: $i)). % 0.62/0.81 tff(tptp_fun__i_val_2_type, type, ( % 0.62/0.81 tptp_fun__i_val_2: $i)). % 0.62/0.81 tff(a1253_type, type, ( % 0.62/0.81 a1253: $i)). % 0.62/0.81 tff(tptp_fun__i_val_12_type, type, ( % 0.62/0.81 tptp_fun__i_val_12: $i)). % 0.62/0.81 tff(a1266_type, type, ( % 0.62/0.81 a1266: $i)). % 0.62/0.81 tff(hskp19_type, type, ( % 0.62/0.81 hskp19: $o)). % 0.62/0.81 tff(hskp20_type, type, ( % 0.62/0.81 hskp20: $o)). % 0.62/0.81 tff(hskp25_type, type, ( % 0.62/0.81 hskp25: $o)). % 0.62/0.81 tff(hskp18_type, type, ( % 0.62/0.81 hskp18: $o)). % 0.62/0.81 tff(tptp_fun__i_val_3_type, type, ( % 0.62/0.81 tptp_fun__i_val_3: $i)). % 0.62/0.81 tff(a1250_type, type, ( % 0.62/0.81 a1250: $i)). % 0.62/0.81 tff(hskp22_type, type, ( % 0.62/0.81 hskp22: $o)). % 0.62/0.81 tff(tptp_fun__i_val_20_type, type, ( % 0.62/0.81 tptp_fun__i_val_20: $i)). % 0.62/0.81 tff(a1255_type, type, ( % 0.62/0.81 a1255: $i)). % 0.62/0.81 tff(hskp8_type, type, ( % 0.62/0.81 hskp8: $o)). % 0.62/0.81 tff(tptp_fun__i_val_6_type, type, ( % 0.62/0.81 tptp_fun__i_val_6: $i)). % 0.62/0.81 tff(a1288_type, type, ( % 0.62/0.81 a1288: $i)). % 0.62/0.81 tff(k!0_type, type, ( % 0.62/0.81 k!0: $i > $i)). % 0.62/0.81 tff(c1_1_type, type, ( % 0.62/0.81 c1_1: $i > $o)). % 0.62/0.81 tff(c2_1_type, type, ( % 0.62/0.81 c2_1: $i > $o)). % 0.62/0.81 tff(c3_1_type, type, ( % 0.62/0.81 c3_1: $i > $o)). % 0.62/0.81 tff(c0_1_type, type, ( % 0.62/0.81 c0_1: $i > $o)). % 0.62/0.81 tff(formula1, axiom, % 0.62/0.81 a1263 = $i!val!14). % 0.62/0.81 tff(formula2, axiom, % 0.62/0.81 hskp4 <=> $true). % 0.62/0.81 tff(formula3, axiom, % 0.62/0.81 hskp14 <=> $true). % 0.62/0.81 tff(formula4, axiom, % 0.62/0.81 hskp9 <=> $true). % 0.62/0.81 tff(formula5, axiom, % 0.62/0.81 hskp15 <=> $true). % 0.62/0.81 tff(formula6, axiom, % 0.62/0.81 a1301 = $i!val!4). % 0.62/0.81 tff(formula7, axiom, % 0.62/0.81 a1280 = $i!val!0). % 0.62/0.81 tff(formula8, axiom, % 0.62/0.81 hskp29 <=> $true). % 0.62/0.81 tff(formula9, axiom, % 0.62/0.81 hskp1 <=> $false). % 0.62/0.81 tff(formula10, axiom, % 0.62/0.81 a1256 = $i!val!19). % 0.62/0.81 tff(formula11, axiom, % 0.62/0.81 hskp27 <=> $true). % 0.62/0.81 tff(formula12, axiom, % 0.62/0.81 a1272 = $i!val!23). % 0.62/0.81 tff(formula13, axiom, % 0.62/0.81 a1274 = $i!val!9). % 0.62/0.81 tff(formula14, axiom, % 0.62/0.81 hskp10 <=> $true). % 0.62/0.81 tff(formula15, axiom, % 0.62/0.81 a1259 = $i!val!1). % 0.62/0.81 tff(formula16, axiom, % 0.62/0.81 a1268 = $i!val!11). % 0.62/0.81 tff(formula17, axiom, % 0.62/0.81 a1254 = $i!val!21). % 0.62/0.81 tff(formula18, axiom, % 0.62/0.81 a1270 = $i!val!10). % 0.62/0.81 tff(formula19, axiom, % 0.62/0.81 a1258 = $i!val!17). % 0.62/0.81 tff(formula20, axiom, % 0.62/0.81 a1264 = $i!val!13). % 0.62/0.81 tff(formula21, axiom, % 0.62/0.81 hskp21 <=> $true). % 0.62/0.81 tff(formula22, axiom, % 0.62/0.81 hskp28 <=> $true). % 0.62/0.81 tff(formula23, axiom, % 0.62/0.81 hskp23 <=> $false). % 0.62/0.81 tff(formula24, axiom, % 0.62/0.81 hskp17 <=> $true). % 0.62/0.81 tff(formula25, axiom, % 0.62/0.81 hskp16 <=> $false). % 0.62/0.81 tff(formula26, axiom, % 0.62/0.81 hskp0 <=> $false). % 0.62/0.81 tff(formula27, axiom, % 0.62/0.81 a1277 = $i!val!8). % 0.62/0.81 tff(formula28, axiom, % 0.62/0.81 hskp2 <=> $true). % 0.62/0.81 tff(formula29, axiom, % 0.62/0.81 hskp26 <=> $true). % 0.62/0.81 tff(formula30, axiom, % 0.62/0.81 a1262 = $i!val!15). % 0.62/0.81 tff(formula31, axiom, % 0.62/0.81 hskp12 <=> $true). % 0.62/0.81 tff(formula32, axiom, % 0.62/0.81 hskp24 <=> $false). % 0.62/0.81 tff(formula33, axiom, % 0.62/0.81 hskp11 <=> $false). % 0.62/0.81 tff(formula34, axiom, % 0.62/0.81 ndr1_0 <=> $true). % 0.62/0.81 tff(formula35, axiom, % 0.62/0.81 a1257 = $i!val!18). % 0.62/0.81 tff(formula36, axiom, % 0.62/0.81 hskp13 <=> $true). % 0.62/0.81 tff(formula37, axiom, % 0.62/0.81 hskp7 <=> $true). % 0.62/0.81 tff(formula38, axiom, % 0.62/0.81 hskp3 <=> $true). % 0.62/0.81 tff(formula39, axiom, % 0.62/0.81 hskp5 <=> $false). % 0.62/0.81 tff(formula40, axiom, % 0.62/0.81 a1300 = $i!val!5). % 0.62/0.81 tff(formula41, axiom, % 0.62/0.81 hskp6 <=> $false). % 0.62/0.81 tff(formula42, axiom, % 0.62/0.81 a1283 = $i!val!7). % 0.62/0.81 tff(formula43, axiom, % 0.62/0.81 a1261 = $i!val!16). % 0.62/0.81 tff(formula44, axiom, % 0.62/0.81 a1279 = $i!val!22). % 0.62/0.81 tff(formula45, axiom, % 0.62/0.81 a1253 = $i!val!2). % 0.62/0.81 tff(formula46, axiom, % 0.62/0.81 a1266 = $i!val!12). % 0.62/0.81 tff(formula47, axiom, % 0.62/0.81 hskp19 <=> $true). % 0.62/0.81 tff(formula48, axiom, % 0.62/0.81 hskp20 <=> $false). % 0.62/0.81 tff(formula49, axiom, % 0.62/0.81 hskp25 <=> $false). % 0.62/0.81 tff(formula50, axiom, % 0.62/0.81 hskp18 <=> $false). % 0.62/0.81 tff(formula51, axiom, % 0.62/0.81 a1250 = $i!val!3). % 0.62/0.81 tff(formula52, axiom, % 0.62/0.81 hskp22 <=> $false). % 0.62/0.81 tff(formula53, axiom, % 0.62/0.81 a1255 = $i!val!20). % 0.62/0.81 tff(formula54, axiom, % 0.62/0.81 hskp8 <=> $false). % 0.62/0.81 tff(formula55, axiom, % 0.62/0.81 a1288 = $i!val!6). % 0.62/0.81 tff(formula56, axiom, % 0.62/0.81 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!2)))). % 0.62/0.81 tff(formula57, axiom, % 0.62/0.81 ![X0: $i] : (c2_1(X0) <=> ((~(k!0(X0) = $i!val!21)) & (~(k!0(X0) = $i!val!17)) & (~(k!0(X0) = $i!val!16)) & (~(k!0(X0) = $i!val!15)) & (~(k!0(X0) = $i!val!11)) & (~(k!0(X0) = $i!val!23)) & (~(k!0(X0) = $i!val!8)) & (~(k!0(X0) = $i!val!22)) & (~(k!0(X0) = $i!val!4))))). % 0.62/0.81 tff(formula58, axiom, % 0.62/0.81 ![X0: $i] : (c3_1(X0) <=> ((~(k!0(X0) = $i!val!22)) & (~(k!0(X0) = $i!val!21)) & (~(k!0(X0) = $i!val!15)) & (~(k!0(X0) = $i!val!23)) & (~(k!0(X0) = $i!val!9)) & (~(k!0(X0) = $i!val!7)) & (~(k!0(X0) = $i!val!5)) & (~(k!0(X0) = $i!val!4)) & (~(k!0(X0) = $i!val!17))))). % 0.62/0.81 tff(formula59, axiom, % 0.62/0.81 k!0($i!val!2) = $i!val!2). % 0.62/0.81 tff(formula60, axiom, % 0.62/0.81 k!0($i!val!12) = $i!val!12). % 0.62/0.81 tff(formula61, axiom, % 0.62/0.81 k!0($i!val!1) = $i!val!1). % 0.62/0.81 tff(formula62, axiom, % 0.62/0.81 k!0($i!val!8) = $i!val!8). % 0.62/0.81 tff(formula63, axiom, % 0.62/0.81 k!0($i!val!11) = $i!val!11). % 0.62/0.81 tff(formula64, axiom, % 0.62/0.81 k!0($i!val!21) = $i!val!21). % 0.62/0.81 tff(formula65, axiom, % 0.62/0.81 k!0($i!val!10) = $i!val!10). % 0.62/0.81 tff(formula66, axiom, % 0.62/0.81 k!0($i!val!4) = $i!val!4). % 0.62/0.81 tff(formula67, axiom, % 0.62/0.81 k!0($i!val!13) = $i!val!13). % 0.62/0.81 tff(formula68, axiom, % 0.62/0.81 k!0($i!val!0) = $i!val!0). % 0.62/0.81 tff(formula69, axiom, % 0.62/0.81 k!0($i!val!17) = $i!val!17). % 0.62/0.81 tff(formula70, axiom, % 0.62/0.81 k!0($i!val!19) = $i!val!19). % 0.62/0.81 tff(formula71, axiom, % 0.62/0.81 k!0($i!val!15) = $i!val!15). % 0.62/0.81 tff(formula72, axiom, % 0.62/0.81 k!0($i!val!23) = $i!val!23). % 0.62/0.81 tff(formula73, axiom, % 0.62/0.81 k!0($i!val!18) = $i!val!18). % 0.62/0.81 tff(formula74, axiom, % 0.62/0.81 k!0($i!val!3) = $i!val!3). % 0.62/0.81 tff(formula75, axiom, % 0.62/0.81 k!0($i!val!22) = $i!val!22). % 0.62/0.81 tff(formula76, axiom, % 0.62/0.81 k!0($i!val!20) = $i!val!20). % 0.62/0.81 tff(formula77, axiom, % 0.62/0.81 k!0($i!val!16) = $i!val!16). % 0.62/0.81 tff(formula78, axiom, % 0.62/0.81 k!0($i!val!5) = $i!val!5). % 0.62/0.81 tff(formula79, axiom, % 0.62/0.81 k!0($i!val!7) = $i!val!7). % 0.62/0.81 tff(formula80, axiom, % 0.62/0.81 k!0($i!val!9) = $i!val!9). % 0.62/0.81 tff(formula81, axiom, % 0.62/0.81 k!0($i!val!6) = $i!val!6). % 0.62/0.81 tff(formula82, axiom, % 0.62/0.81 ![X0: $i] : ((~((($i!val!2 = X0)) | (($i!val!12 = X0)) | (($i!val!1 = X0)) | (($i!val!8 = X0)) | (($i!val!11 = X0)) | (($i!val!21 = X0)) | (($i!val!10 = X0)) | (($i!val!4 = X0)) | (($i!val!13 = X0)) | (($i!val!0 = X0)) | (($i!val!17 = X0)) | (($i!val!19 = X0)) | (($i!val!15 = X0)) | (($i!val!23 = X0)) | (($i!val!18 = X0)) | (($i!val!3 = X0)) | (($i!val!22 = X0)) | (($i!val!20 = X0)) | (($i!val!16 = X0)) | (($i!val!5 = X0)) | (($i!val!7 = X0)) | (($i!val!9 = X0)) | (($i!val!6 = X0)))) => (k!0(X0) = $i!val!14))). % 0.62/0.81 tff(formula83, axiom, % 0.62/0.81 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!14)))). % 0.62/0.81 % SZS output end Model % 0.62/0.81 % E exiting %------------------------------------------------------------------------------