%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN437-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n001.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 05:39:06 AM UTC 2025 % Result : Satisfiable 1.08s 1.28s % Output : Model 1.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYN437-1 : TPTP v9.0.0. Released v2.1.0. % 0.12/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n001.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 12:39:20 EDT 2025 % 0.12/0.33 % CPUTime : % 1.08/1.28 % SZS status Satisfiable % 1.08/1.28 % SZS output start Model % 1.08/1.28 tff(tptp_fun__i_val_13_type, type, ( % 1.08/1.28 tptp_fun__i_val_13: $i)). % 1.08/1.28 tff(a403_type, type, ( % 1.08/1.28 a403: $i)). % 1.08/1.28 tff(hskp50_type, type, ( % 1.08/1.28 hskp50: $o)). % 1.08/1.28 tff(hskp14_type, type, ( % 1.08/1.28 hskp14: $o)). % 1.08/1.28 tff(hskp9_type, type, ( % 1.08/1.28 hskp9: $o)). % 1.08/1.28 tff(hskp15_type, type, ( % 1.08/1.28 hskp15: $o)). % 1.08/1.28 tff(hskp46_type, type, ( % 1.08/1.28 hskp46: $o)). % 1.08/1.28 tff(tptp_fun__i_val_11_type, type, ( % 1.08/1.28 tptp_fun__i_val_11: $i)). % 1.08/1.28 tff(a430_type, type, ( % 1.08/1.28 a430: $i)). % 1.08/1.28 tff(hskp29_type, type, ( % 1.08/1.28 hskp29: $o)). % 1.08/1.28 tff(hskp1_type, type, ( % 1.08/1.28 hskp1: $o)). % 1.08/1.28 tff(tptp_fun__i_val_5_type, type, ( % 1.08/1.28 tptp_fun__i_val_5: $i)). % 1.08/1.28 tff(a409_type, type, ( % 1.08/1.28 a409: $i)). % 1.08/1.28 tff(hskp27_type, type, ( % 1.08/1.28 hskp27: $o)). % 1.08/1.28 tff(hskp48_type, type, ( % 1.08/1.28 hskp48: $o)). % 1.08/1.28 tff(hskp38_type, type, ( % 1.08/1.28 hskp38: $o)). % 1.08/1.28 tff(hskp37_type, type, ( % 1.08/1.28 hskp37: $o)). % 1.08/1.28 tff(hskp47_type, type, ( % 1.08/1.28 hskp47: $o)). % 1.08/1.28 tff(hskp10_type, type, ( % 1.08/1.28 hskp10: $o)). % 1.08/1.28 tff(hskp44_type, type, ( % 1.08/1.28 hskp44: $o)). % 1.08/1.28 tff(tptp_fun__i_val_3_type, type, ( % 1.08/1.28 tptp_fun__i_val_3: $i)). % 1.08/1.28 tff(a431_type, type, ( % 1.08/1.29 a431: $i)). % 1.08/1.29 tff(hskp41_type, type, ( % 1.08/1.29 hskp41: $o)). % 1.08/1.29 tff(hskp31_type, type, ( % 1.08/1.29 hskp31: $o)). % 1.08/1.29 tff(tptp_fun__i_val_6_type, type, ( % 1.08/1.29 tptp_fun__i_val_6: $i)). % 1.08/1.29 tff(a408_type, type, ( % 1.08/1.29 a408: $i)). % 1.08/1.29 tff(tptp_fun__i_val_8_type, type, ( % 1.08/1.29 tptp_fun__i_val_8: $i)). % 1.08/1.29 tff(a452_type, type, ( % 1.08/1.29 a452: $i)). % 1.08/1.29 tff(hskp30_type, type, ( % 1.08/1.29 hskp30: $o)). % 1.08/1.29 tff(tptp_fun__i_val_12_type, type, ( % 1.08/1.29 tptp_fun__i_val_12: $i)). % 1.08/1.29 tff(a416_type, type, ( % 1.08/1.29 a416: $i)). % 1.08/1.29 tff(hskp35_type, type, ( % 1.08/1.29 hskp35: $o)). % 1.08/1.29 tff(hskp45_type, type, ( % 1.08/1.29 hskp45: $o)). % 1.08/1.29 tff(tptp_fun__i_val_7_type, type, ( % 1.08/1.29 tptp_fun__i_val_7: $i)). % 1.08/1.29 tff(a454_type, type, ( % 1.08/1.29 a454: $i)). % 1.08/1.29 tff(tptp_fun__i_val_17_type, type, ( % 1.08/1.29 tptp_fun__i_val_17: $i)). % 1.08/1.29 tff(a407_type, type, ( % 1.08/1.29 a407: $i)). % 1.08/1.29 tff(hskp39_type, type, ( % 1.08/1.29 hskp39: $o)). % 1.08/1.29 tff(hskp21_type, type, ( % 1.08/1.29 hskp21: $o)). % 1.08/1.29 tff(hskp23_type, type, ( % 1.08/1.29 hskp23: $o)). % 1.08/1.29 tff(hskp17_type, type, ( % 1.08/1.29 hskp17: $o)). % 1.08/1.29 tff(hskp32_type, type, ( % 1.08/1.29 hskp32: $o)). % 1.08/1.29 tff(hskp16_type, type, ( % 1.08/1.29 hskp16: $o)). % 1.08/1.29 tff(tptp_fun__i_val_16_type, type, ( % 1.08/1.29 tptp_fun__i_val_16: $i)). % 1.08/1.29 tff(a437_type, type, ( % 1.08/1.29 a437: $i)). % 1.08/1.29 tff(tptp_fun__i_val_9_type, type, ( % 1.08/1.29 tptp_fun__i_val_9: $i)). % 1.08/1.29 tff(a450_type, type, ( % 1.08/1.29 a450: $i)). % 1.08/1.29 tff(hskp0_type, type, ( % 1.08/1.29 hskp0: $o)). % 1.08/1.29 tff(hskp2_type, type, ( % 1.08/1.29 hskp2: $o)). % 1.08/1.29 tff(hskp49_type, type, ( % 1.08/1.29 hskp49: $o)). % 1.08/1.29 tff(hskp26_type, type, ( % 1.08/1.29 hskp26: $o)). % 1.08/1.29 tff(tptp_fun__i_val_1_type, type, ( % 1.08/1.29 tptp_fun__i_val_1: $i)). % 1.08/1.29 tff(a439_type, type, ( % 1.08/1.29 a439: $i)). % 1.08/1.29 tff(tptp_fun__i_val_10_type, type, ( % 1.08/1.29 tptp_fun__i_val_10: $i)). % 1.08/1.29 tff(a443_type, type, ( % 1.08/1.29 a443: $i)). % 1.08/1.29 tff(hskp34_type, type, ( % 1.08/1.29 hskp34: $o)). % 1.08/1.29 tff(hskp12_type, type, ( % 1.08/1.29 hskp12: $o)). % 1.08/1.29 tff(hskp24_type, type, ( % 1.08/1.29 hskp24: $o)). % 1.08/1.29 tff(hskp11_type, type, ( % 1.08/1.29 hskp11: $o)). % 1.08/1.29 tff(ndr1_0_type, type, ( % 1.08/1.29 ndr1_0: $o)). % 1.08/1.29 tff(hskp40_type, type, ( % 1.08/1.29 hskp40: $o)). % 1.08/1.29 tff(hskp13_type, type, ( % 1.08/1.29 hskp13: $o)). % 1.08/1.29 tff(hskp7_type, type, ( % 1.08/1.29 hskp7: $o)). % 1.08/1.29 tff(hskp3_type, type, ( % 1.08/1.29 hskp3: $o)). % 1.08/1.29 tff(hskp5_type, type, ( % 1.08/1.29 hskp5: $o)). % 1.08/1.29 tff(hskp6_type, type, ( % 1.08/1.29 hskp6: $o)). % 1.08/1.29 tff(hskp51_type, type, ( % 1.08/1.29 hskp51: $o)). % 1.08/1.29 tff(hskp33_type, type, ( % 1.08/1.29 hskp33: $o)). % 1.08/1.29 tff(tptp_fun__i_val_14_type, type, ( % 1.08/1.29 tptp_fun__i_val_14: $i)). % 1.08/1.29 tff(a451_type, type, ( % 1.08/1.29 a451: $i)). % 1.08/1.29 tff(tptp_fun__i_val_15_type, type, ( % 1.08/1.29 tptp_fun__i_val_15: $i)). % 1.08/1.29 tff(a448_type, type, ( % 1.08/1.29 a448: $i)). % 1.08/1.29 tff(tptp_fun__i_val_4_type, type, ( % 1.08/1.29 tptp_fun__i_val_4: $i)). % 1.08/1.29 tff(a417_type, type, ( % 1.08/1.29 a417: $i)). % 1.08/1.29 tff(tptp_fun__i_val_0_type, type, ( % 1.08/1.29 tptp_fun__i_val_0: $i)). % 1.08/1.29 tff(a455_type, type, ( % 1.08/1.29 a455: $i)). % 1.08/1.29 tff(hskp36_type, type, ( % 1.08/1.29 hskp36: $o)). % 1.08/1.29 tff(hskp19_type, type, ( % 1.08/1.29 hskp19: $o)). % 1.08/1.29 tff(hskp42_type, type, ( % 1.08/1.29 hskp42: $o)). % 1.08/1.29 tff(hskp20_type, type, ( % 1.08/1.29 hskp20: $o)). % 1.08/1.29 tff(hskp25_type, type, ( % 1.08/1.29 hskp25: $o)). % 1.08/1.29 tff(hskp18_type, type, ( % 1.08/1.29 hskp18: $o)). % 1.08/1.29 tff(hskp43_type, type, ( % 1.08/1.29 hskp43: $o)). % 1.08/1.29 tff(hskp22_type, type, ( % 1.08/1.29 hskp22: $o)). % 1.08/1.29 tff(tptp_fun__i_val_2_type, type, ( % 1.08/1.29 tptp_fun__i_val_2: $i)). % 1.08/1.29 tff(a438_type, type, ( % 1.08/1.29 a438: $i)). % 1.08/1.29 tff(hskp8_type, type, ( % 1.08/1.29 hskp8: $o)). % 1.08/1.29 tff(hskp4_type, type, ( % 1.08/1.29 hskp4: $o)). % 1.08/1.29 tff(k!0_type, type, ( % 1.08/1.29 k!0: $i > $i)). % 1.08/1.29 tff(c3_1_type, type, ( % 1.08/1.29 c3_1: $i > $o)). % 1.08/1.29 tff(c2_1_type, type, ( % 1.08/1.29 c2_1: $i > $o)). % 1.08/1.29 tff(c0_1_type, type, ( % 1.08/1.29 c0_1: $i > $o)). % 1.08/1.29 tff(c1_1_type, type, ( % 1.08/1.29 c1_1: $i > $o)). % 1.08/1.29 tff(formula1, axiom, % 1.08/1.29 a403 = $i!val!13). % 1.08/1.29 tff(formula2, axiom, % 1.08/1.29 hskp50 <=> $false). % 1.08/1.29 tff(formula3, axiom, % 1.08/1.29 hskp14 <=> $false). % 1.08/1.29 tff(formula4, axiom, % 1.08/1.29 hskp9 <=> $false). % 1.08/1.29 tff(formula5, axiom, % 1.08/1.29 hskp15 <=> $false). % 1.08/1.29 tff(formula6, axiom, % 1.08/1.29 hskp46 <=> $false). % 1.08/1.29 tff(formula7, axiom, % 1.08/1.29 a430 = $i!val!11). % 1.08/1.29 tff(formula8, axiom, % 1.08/1.29 hskp29 <=> $false). % 1.08/1.29 tff(formula9, axiom, % 1.08/1.29 hskp1 <=> $false). % 1.08/1.29 tff(formula10, axiom, % 1.08/1.29 a409 = $i!val!5). % 1.08/1.29 tff(formula11, axiom, % 1.08/1.29 hskp27 <=> $false). % 1.08/1.29 tff(formula12, axiom, % 1.08/1.29 hskp48 <=> $true). % 1.08/1.29 tff(formula13, axiom, % 1.08/1.29 hskp38 <=> $false). % 1.08/1.29 tff(formula14, axiom, % 1.08/1.29 hskp37 <=> $false). % 1.08/1.29 tff(formula15, axiom, % 1.08/1.29 hskp47 <=> $false). % 1.08/1.29 tff(formula16, axiom, % 1.08/1.29 hskp10 <=> $false). % 1.08/1.29 tff(formula17, axiom, % 1.08/1.29 hskp44 <=> $true). % 1.08/1.29 tff(formula18, axiom, % 1.08/1.29 a431 = $i!val!3). % 1.08/1.29 tff(formula19, axiom, % 1.08/1.29 hskp41 <=> $false). % 1.08/1.29 tff(formula20, axiom, % 1.08/1.29 hskp31 <=> $false). % 1.08/1.29 tff(formula21, axiom, % 1.08/1.29 a408 = $i!val!6). % 1.08/1.29 tff(formula22, axiom, % 1.08/1.29 a452 = $i!val!8). % 1.08/1.29 tff(formula23, axiom, % 1.08/1.29 hskp30 <=> $false). % 1.08/1.29 tff(formula24, axiom, % 1.08/1.29 a416 = $i!val!12). % 1.08/1.29 tff(formula25, axiom, % 1.08/1.29 hskp35 <=> $false). % 1.08/1.29 tff(formula26, axiom, % 1.08/1.29 hskp45 <=> $false). % 1.08/1.29 tff(formula27, axiom, % 1.08/1.29 a454 = $i!val!7). % 1.08/1.29 tff(formula28, axiom, % 1.08/1.29 a407 = $i!val!17). % 1.08/1.29 tff(formula29, axiom, % 1.08/1.29 hskp39 <=> $true). % 1.08/1.29 tff(formula30, axiom, % 1.08/1.29 hskp21 <=> $false). % 1.08/1.29 tff(formula31, axiom, % 1.08/1.29 hskp23 <=> $false). % 1.08/1.29 tff(formula32, axiom, % 1.08/1.29 hskp17 <=> $true). % 1.08/1.29 tff(formula33, axiom, % 1.08/1.29 hskp32 <=> $false). % 1.08/1.29 tff(formula34, axiom, % 1.08/1.29 hskp16 <=> $false). % 1.08/1.29 tff(formula35, axiom, % 1.08/1.29 a437 = $i!val!16). % 1.08/1.29 tff(formula36, axiom, % 1.08/1.29 a450 = $i!val!9). % 1.08/1.29 tff(formula37, axiom, % 1.08/1.29 hskp0 <=> $false). % 1.08/1.29 tff(formula38, axiom, % 1.08/1.29 hskp2 <=> $false). % 1.08/1.29 tff(formula39, axiom, % 1.08/1.29 hskp49 <=> $false). % 1.08/1.29 tff(formula40, axiom, % 1.08/1.29 hskp26 <=> $false). % 1.08/1.29 tff(formula41, axiom, % 1.08/1.29 a439 = $i!val!1). % 1.08/1.29 tff(formula42, axiom, % 1.08/1.29 a443 = $i!val!10). % 1.08/1.29 tff(formula43, axiom, % 1.08/1.29 hskp34 <=> $false). % 1.08/1.29 tff(formula44, axiom, % 1.08/1.29 hskp12 <=> $false). % 1.08/1.29 tff(formula45, axiom, % 1.08/1.29 hskp24 <=> $false). % 1.08/1.29 tff(formula46, axiom, % 1.08/1.29 hskp11 <=> $false). % 1.08/1.29 tff(formula47, axiom, % 1.08/1.29 ndr1_0 <=> $true). % 1.08/1.29 tff(formula48, axiom, % 1.08/1.29 hskp40 <=> $false). % 1.08/1.29 tff(formula49, axiom, % 1.08/1.29 hskp13 <=> $false). % 1.08/1.29 tff(formula50, axiom, % 1.08/1.29 hskp7 <=> $false). % 1.08/1.29 tff(formula51, axiom, % 1.08/1.29 hskp3 <=> $true). % 1.08/1.29 tff(formula52, axiom, % 1.08/1.29 hskp5 <=> $false). % 1.08/1.29 tff(formula53, axiom, % 1.08/1.29 hskp6 <=> $true). % 1.08/1.29 tff(formula54, axiom, % 1.08/1.29 hskp51 <=> $false). % 1.08/1.29 tff(formula55, axiom, % 1.08/1.29 hskp33 <=> $false). % 1.08/1.29 tff(formula56, axiom, % 1.08/1.29 a451 = $i!val!14). % 1.08/1.29 tff(formula57, axiom, % 1.08/1.29 a448 = $i!val!15). % 1.08/1.29 tff(formula58, axiom, % 1.08/1.29 a417 = $i!val!4). % 1.08/1.29 tff(formula59, axiom, % 1.08/1.29 a455 = $i!val!0). % 1.08/1.29 tff(formula60, axiom, % 1.08/1.29 hskp36 <=> $false). % 1.08/1.29 tff(formula61, axiom, % 1.08/1.29 hskp19 <=> $false). % 1.08/1.29 tff(formula62, axiom, % 1.08/1.29 hskp42 <=> $false). % 1.08/1.29 tff(formula63, axiom, % 1.08/1.29 hskp20 <=> $true). % 1.08/1.29 tff(formula64, axiom, % 1.08/1.29 hskp25 <=> $false). % 1.08/1.29 tff(formula65, axiom, % 1.08/1.29 hskp18 <=> $false). % 1.08/1.29 tff(formula66, axiom, % 1.08/1.29 hskp43 <=> $false). % 1.08/1.29 tff(formula67, axiom, % 1.08/1.29 hskp22 <=> $false). % 1.08/1.29 tff(formula68, axiom, % 1.08/1.29 a438 = $i!val!2). % 1.08/1.29 tff(formula69, axiom, % 1.08/1.29 hskp8 <=> $false). % 1.08/1.29 tff(formula70, axiom, % 1.08/1.29 hskp4 <=> $false). % 1.08/1.29 tff(formula71, axiom, % 1.08/1.29 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!3)))). % 1.08/1.29 tff(formula72, axiom, % 1.08/1.29 ![X0: $i] : (c2_1(X0) <=> $true)). % 1.08/1.29 tff(formula73, axiom, % 1.08/1.29 k!0($i!val!13) = $i!val!13). % 1.08/1.29 tff(formula74, axiom, % 1.08/1.29 k!0($i!val!3) = $i!val!3). % 1.08/1.29 tff(formula75, axiom, % 1.08/1.29 k!0($i!val!8) = $i!val!8). % 1.08/1.29 tff(formula76, axiom, % 1.08/1.29 k!0($i!val!14) = $i!val!14). % 1.08/1.29 tff(formula77, axiom, % 1.08/1.29 k!0($i!val!15) = $i!val!15). % 1.08/1.29 tff(formula78, axiom, % 1.08/1.29 k!0($i!val!4) = $i!val!4). % 1.08/1.29 tff(formula79, axiom, % 1.08/1.29 k!0($i!val!6) = $i!val!6). % 1.08/1.29 tff(formula80, axiom, % 1.08/1.29 k!0($i!val!0) = $i!val!0). % 1.08/1.29 tff(formula81, axiom, % 1.08/1.29 k!0($i!val!12) = $i!val!12). % 1.08/1.29 tff(formula82, axiom, % 1.08/1.29 k!0($i!val!17) = $i!val!17). % 1.08/1.29 tff(formula83, axiom, % 1.08/1.29 k!0($i!val!11) = $i!val!11). % 1.08/1.29 tff(formula84, axiom, % 1.08/1.29 k!0($i!val!7) = $i!val!7). % 1.08/1.29 tff(formula85, axiom, % 1.08/1.29 k!0($i!val!1) = $i!val!1). % 1.08/1.29 tff(formula86, axiom, % 1.08/1.29 k!0($i!val!10) = $i!val!10). % 1.08/1.29 tff(formula87, axiom, % 1.08/1.29 k!0($i!val!5) = $i!val!5). % 1.08/1.29 tff(formula88, axiom, % 1.08/1.29 k!0($i!val!2) = $i!val!2). % 1.08/1.29 tff(formula89, axiom, % 1.08/1.29 k!0($i!val!16) = $i!val!16). % 1.08/1.29 tff(formula90, axiom, % 1.08/1.29 ![X0: $i] : ((~((($i!val!13 = X0)) | (($i!val!3 = X0)) | (($i!val!8 = X0)) | (($i!val!14 = X0)) | (($i!val!15 = X0)) | (($i!val!4 = X0)) | (($i!val!6 = X0)) | (($i!val!0 = X0)) | (($i!val!12 = X0)) | (($i!val!17 = X0)) | (($i!val!11 = X0)) | (($i!val!7 = X0)) | (($i!val!1 = X0)) | (($i!val!10 = X0)) | (($i!val!5 = X0)) | (($i!val!2 = X0)) | (($i!val!16 = X0)))) => (k!0(X0) = $i!val!9))). % 1.08/1.29 tff(formula91, axiom, % 1.08/1.29 ![X0: $i] : (c0_1(X0) <=> $false)). % 1.08/1.29 tff(formula92, axiom, % 1.08/1.29 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!3)))). % 1.08/1.29 % SZS output end Model % 1.08/1.29 % E exiting %------------------------------------------------------------------------------