%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN532-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n011.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 05:39:29 AM UTC 2025 % Result : Satisfiable 0.20s 0.48s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN532-1 : TPTP v9.0.0. Released v2.1.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n011.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 12:37:57 EDT 2025 % 0.12/0.33 % CPUTime : % 0.20/0.48 % SZS status Satisfiable % 0.20/0.48 % SZS output start Model % 0.20/0.48 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.48 tptp_fun__i_val_7: $i)). % 0.20/0.48 tff(a438_type, type, ( % 0.20/0.48 a438: $i)). % 0.20/0.48 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.48 tptp_fun__i_val_1: $i)). % 0.20/0.48 tff(a414_type, type, ( % 0.20/0.48 a414: $i)). % 0.20/0.48 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.48 tptp_fun__i_val_10: $i)). % 0.20/0.48 tff(a436_type, type, ( % 0.20/0.48 a436: $i)). % 0.20/0.48 tff(tptp_fun__i_val_13_type, type, ( % 0.20/0.48 tptp_fun__i_val_13: $i)). % 0.20/0.48 tff(a426_type, type, ( % 0.20/0.48 a426: $i)). % 0.20/0.48 tff(ssSkC3_type, type, ( % 0.20/0.48 ssSkC3: $o)). % 0.20/0.48 tff(ssSkC4_type, type, ( % 0.20/0.48 ssSkC4: $o)). % 0.20/0.48 tff(tptp_fun__i_val_14_type, type, ( % 0.20/0.48 tptp_fun__i_val_14: $i)). % 0.20/0.48 tff(a412_type, type, ( % 0.20/0.48 a412: $i)). % 0.20/0.48 tff(tptp_fun__i_val_17_type, type, ( % 0.20/0.48 tptp_fun__i_val_17: $i)). % 0.20/0.48 tff(a415_type, type, ( % 0.20/0.48 a415: $i)). % 0.20/0.48 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.48 tptp_fun__i_val_9: $i)). % 0.20/0.48 tff(a411_type, type, ( % 0.20/0.48 a411: $i)). % 0.20/0.48 tff(a430_type, type, ( % 0.20/0.48 a430: $i)). % 0.20/0.48 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.48 tptp_fun__i_val_4: $i)). % 0.20/0.48 tff(a425_type, type, ( % 0.20/0.48 a425: $i)). % 0.20/0.48 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.48 tptp_fun__i_val_0: $i)). % 0.20/0.48 tff(a439_type, type, ( % 0.20/0.48 a439: $i)). % 0.20/0.48 tff(ssSkC1_type, type, ( % 0.20/0.48 ssSkC1: $o)). % 0.20/0.48 tff(tptp_fun__i_val_15_type, type, ( % 0.20/0.48 tptp_fun__i_val_15: $i)). % 0.20/0.48 tff(a419_type, type, ( % 0.20/0.48 a419: $i)). % 0.20/0.48 tff(ssSkC5_type, type, ( % 0.20/0.48 ssSkC5: $o)). % 0.20/0.48 tff(tptp_fun__i_val_19_type, type, ( % 0.20/0.48 tptp_fun__i_val_19: $i)). % 0.20/0.48 tff(a424_type, type, ( % 0.20/0.48 a424: $i)). % 0.20/0.48 tff(tptp_fun__i_val_18_type, type, ( % 0.20/0.48 tptp_fun__i_val_18: $i)). % 0.20/0.48 tff(a413_type, type, ( % 0.20/0.48 a413: $i)). % 0.20/0.48 tff(ssSkC0_type, type, ( % 0.20/0.48 ssSkC0: $o)). % 0.20/0.48 tff(ndr1_0_type, type, ( % 0.20/0.48 ndr1_0: $o)). % 0.20/0.48 tff(c3_0_type, type, ( % 0.20/0.48 c3_0: $o)). % 0.20/0.48 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.48 tptp_fun__i_val_12: $i)). % 0.20/0.48 tff(a427_type, type, ( % 0.20/0.48 a427: $i)). % 0.20/0.48 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.48 tptp_fun__i_val_11: $i)). % 0.20/0.48 tff(a435_type, type, ( % 0.20/0.48 a435: $i)). % 0.20/0.48 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.48 tptp_fun__i_val_6: $i)). % 0.20/0.48 tff(a440_type, type, ( % 0.20/0.48 a440: $i)). % 0.20/0.48 tff(ssSkC6_type, type, ( % 0.20/0.48 ssSkC6: $o)). % 0.20/0.48 tff(a421_type, type, ( % 0.20/0.48 a421: $i)). % 0.20/0.48 tff(c1_0_type, type, ( % 0.20/0.48 c1_0: $o)). % 0.20/0.48 tff(tptp_fun__i_val_21_type, type, ( % 0.20/0.48 tptp_fun__i_val_21: $i)). % 0.20/0.48 tff(a417_type, type, ( % 0.20/0.48 a417: $i)). % 0.20/0.48 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.48 tptp_fun__i_val_5: $i)). % 0.20/0.48 tff(a416_type, type, ( % 0.20/0.48 a416: $i)). % 0.20/0.48 tff(tptp_fun__i_val_22_type, type, ( % 0.20/0.48 tptp_fun__i_val_22: $i)). % 0.20/0.48 tff(a441_type, type, ( % 0.20/0.48 a441: $i)). % 0.20/0.48 tff(a429_type, type, ( % 0.20/0.48 a429: $i)). % 0.20/0.48 tff(tptp_fun__i_val_20_type, type, ( % 0.20/0.48 tptp_fun__i_val_20: $i)). % 0.20/0.48 tff(a428_type, type, ( % 0.20/0.48 a428: $i)). % 0.20/0.48 tff(tptp_fun__i_val_23_type, type, ( % 0.20/0.48 tptp_fun__i_val_23: $i)). % 0.20/0.48 tff(a442_type, type, ( % 0.20/0.48 a442: $i)). % 0.20/0.48 tff(c5_0_type, type, ( % 0.20/0.48 c5_0: $o)). % 0.20/0.48 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.48 tptp_fun__i_val_8: $i)). % 0.20/0.48 tff(a432_type, type, ( % 0.20/0.48 a432: $i)). % 0.20/0.48 tff(ssSkC2_type, type, ( % 0.20/0.48 ssSkC2: $o)). % 0.20/0.48 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.48 tptp_fun__i_val_3: $i)). % 0.20/0.48 tff(a434_type, type, ( % 0.20/0.48 a434: $i)). % 0.20/0.48 tff(c4_0_type, type, ( % 0.20/0.48 c4_0: $o)). % 0.20/0.48 tff(a420_type, type, ( % 0.20/0.48 a420: $i)). % 0.20/0.48 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.48 tptp_fun__i_val_2: $i)). % 0.20/0.48 tff(a437_type, type, ( % 0.20/0.48 a437: $i)). % 0.20/0.48 tff(tptp_fun__i_val_16_type, type, ( % 0.20/0.48 tptp_fun__i_val_16: $i)). % 0.20/0.48 tff(a433_type, type, ( % 0.20/0.48 a433: $i)). % 0.20/0.48 tff(ndr1_1_type, type, ( % 0.20/0.48 ndr1_1: $i > $o)). % 0.20/0.48 tff(k!431_type, type, ( % 0.20/0.48 k!431: $i > $i)). % 0.20/0.48 tff(k!430_type, type, ( % 0.20/0.48 k!430: $i > $i)). % 0.20/0.48 tff(c3_2_type, type, ( % 0.20/0.48 c3_2: ( $i * $i ) > $o)). % 0.20/0.48 tff(c1_1_type, type, ( % 0.20/0.48 c1_1: $i > $o)). % 0.20/0.48 tff(c4_2_type, type, ( % 0.20/0.48 c4_2: ( $i * $i ) > $o)). % 0.20/0.48 tff(c5_1_type, type, ( % 0.20/0.48 c5_1: $i > $o)). % 0.20/0.48 tff(ssSkP0_type, type, ( % 0.20/0.48 ssSkP0: $i > $o)). % 0.20/0.48 tff(c5_2_type, type, ( % 0.20/0.48 c5_2: ( $i * $i ) > $o)). % 0.20/0.48 tff(c2_1_type, type, ( % 0.20/0.48 c2_1: $i > $o)). % 0.20/0.48 tff(c3_1_type, type, ( % 0.20/0.48 c3_1: $i > $o)). % 0.20/0.48 tff(c2_2_type, type, ( % 0.20/0.48 c2_2: ( $i * $i ) > $o)). % 0.20/0.48 tff(c1_2_type, type, ( % 0.20/0.48 c1_2: ( $i * $i ) > $o)). % 0.20/0.48 tff(c4_1_type, type, ( % 0.20/0.48 c4_1: $i > $o)). % 0.20/0.48 tff(ssSkP1_type, type, ( % 0.20/0.48 ssSkP1: $i > $o)). % 0.20/0.48 tff(formula1, axiom, % 0.20/0.48 a438 = $i!val!7). % 0.20/0.48 tff(formula2, axiom, % 0.20/0.48 a414 = $i!val!1). % 0.20/0.48 tff(formula3, axiom, % 0.20/0.48 a436 = $i!val!10). % 0.20/0.48 tff(formula4, axiom, % 0.20/0.48 a426 = $i!val!13). % 0.20/0.48 tff(formula5, axiom, % 0.20/0.48 ssSkC3 <=> $true). % 0.20/0.48 tff(formula6, axiom, % 0.20/0.48 ssSkC4 <=> $false). % 0.20/0.48 tff(formula7, axiom, % 0.20/0.48 a412 = $i!val!14). % 0.20/0.48 tff(formula8, axiom, % 0.20/0.48 a415 = $i!val!17). % 0.20/0.48 tff(formula9, axiom, % 0.20/0.48 a411 = $i!val!9). % 0.20/0.48 tff(formula10, axiom, % 0.20/0.48 a430 = $i!val!10). % 0.20/0.48 tff(formula11, axiom, % 0.20/0.48 a425 = $i!val!4). % 0.20/0.48 tff(formula12, axiom, % 0.20/0.48 a439 = $i!val!0). % 0.20/0.48 tff(formula13, axiom, % 0.20/0.48 ssSkC1 <=> $false). % 0.20/0.48 tff(formula14, axiom, % 0.20/0.48 a419 = $i!val!15). % 0.20/0.48 tff(formula15, axiom, % 0.20/0.48 ssSkC5 <=> $true). % 0.20/0.48 tff(formula16, axiom, % 0.20/0.48 a424 = $i!val!19). % 0.20/0.48 tff(formula17, axiom, % 0.20/0.48 a413 = $i!val!18). % 0.20/0.48 tff(formula18, axiom, % 0.20/0.48 ssSkC0 <=> $false). % 0.20/0.48 tff(formula19, axiom, % 0.20/0.48 ndr1_0 <=> $true). % 0.20/0.48 tff(formula20, axiom, % 0.20/0.48 c3_0 <=> $false). % 0.20/0.48 tff(formula21, axiom, % 0.20/0.48 a427 = $i!val!12). % 0.20/0.48 tff(formula22, axiom, % 0.20/0.48 a435 = $i!val!11). % 0.20/0.48 tff(formula23, axiom, % 0.20/0.48 a440 = $i!val!6). % 0.20/0.48 tff(formula24, axiom, % 0.20/0.48 ssSkC6 <=> $false). % 0.20/0.48 tff(formula25, axiom, % 0.20/0.48 a421 = $i!val!9). % 0.20/0.48 tff(formula26, axiom, % 0.20/0.48 c1_0 <=> $true). % 0.20/0.48 tff(formula27, axiom, % 0.20/0.48 a417 = $i!val!21). % 0.20/0.48 tff(formula28, axiom, % 0.20/0.48 a416 = $i!val!5). % 0.20/0.48 tff(formula29, axiom, % 0.20/0.48 a441 = $i!val!22). % 0.20/0.48 tff(formula30, axiom, % 0.20/0.48 a429 = $i!val!19). % 0.20/0.48 tff(formula31, axiom, % 0.20/0.48 a428 = $i!val!20). % 0.20/0.48 tff(formula32, axiom, % 0.20/0.48 a442 = $i!val!23). % 0.20/0.48 tff(formula33, axiom, % 0.20/0.48 c5_0 <=> $true). % 0.20/0.48 tff(formula34, axiom, % 0.20/0.48 a432 = $i!val!8). % 0.20/0.48 tff(formula35, axiom, % 0.20/0.48 ssSkC2 <=> $true). % 0.20/0.48 tff(formula36, axiom, % 0.20/0.48 a434 = $i!val!3). % 0.20/0.48 tff(formula37, axiom, % 0.20/0.48 c4_0 <=> $false). % 0.20/0.48 tff(formula38, axiom, % 0.20/0.48 a420 = $i!val!1). % 0.20/0.48 tff(formula39, axiom, % 0.20/0.48 a437 = $i!val!2). % 0.20/0.48 tff(formula40, axiom, % 0.20/0.48 a433 = $i!val!16). % 0.20/0.48 tff(formula41, axiom, % 0.20/0.48 ![X0: $i] : (ndr1_1(X0) <=> $true)). % 0.20/0.48 tff(formula42, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!430(X1) = $i!val!0) & (k!431(X0) = $i!val!19)) | ((k!430(X1) = $i!val!3) & (k!431(X0) = $i!val!11)) | ((k!430(X1) = $i!val!3) & (k!431(X0) = $i!val!10)) | ((k!430(X1) = $i!val!0) & (k!431(X0) = $i!val!15)) | ((k!430(X1) = $i!val!0) & (k!431(X0) = $i!val!12)) | ((k!430(X1) = $i!val!0) & (k!431(X0) = $i!val!9)) | ((k!430(X1) = $i!val!0) & (k!431(X0) = $i!val!23))))). % 0.20/0.48 tff(formula43, axiom, % 0.20/0.48 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.20/0.48 tff(formula44, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((k!430(X1) = $i!val!3) & (k!431(X0) = $i!val!11)))). % 0.20/0.48 tff(formula45, axiom, % 0.20/0.48 ![X0: $i] : (c5_1(X0) <=> (~(k!430(X0) = $i!val!6)))). % 0.20/0.48 tff(formula46, axiom, % 0.20/0.48 ![X0: $i] : (ssSkP0(X0) <=> $false)). % 0.20/0.48 tff(formula47, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((~((k!430(X1) = $i!val!8) & (k!431(X0) = $i!val!19))) & (~((k!430(X1) = $i!val!0) & (k!431(X0) = $i!val!19))) & (~((k!430(X1) = $i!val!17) & (k!431(X0) = $i!val!19))) & (~((k!430(X1) = $i!val!1) & (k!431(X0) = $i!val!19))) & (~((k!430(X1) = $i!val!7) & (k!431(X0) = $i!val!19))) & (~((k!430(X1) = $i!val!4) & (k!431(X0) = $i!val!13))) & (~((k!430(X1) = $i!val!4) & (k!431(X0) = $i!val!12))) & (~((k!430(X1) = $i!val!3) & (k!431(X0) = $i!val!10)))))). % 0.20/0.48 tff(formula48, axiom, % 0.20/0.48 k!431($i!val!16) = $i!val!16). % 0.20/0.48 tff(formula49, axiom, % 0.20/0.48 k!431($i!val!23) = $i!val!23). % 0.20/0.48 tff(formula50, axiom, % 0.20/0.48 k!431($i!val!9) = $i!val!9). % 0.20/0.48 tff(formula51, axiom, % 0.20/0.48 k!431($i!val!11) = $i!val!11). % 0.20/0.48 tff(formula52, axiom, % 0.20/0.48 k!431($i!val!12) = $i!val!12). % 0.20/0.48 tff(formula53, axiom, % 0.20/0.48 k!431($i!val!21) = $i!val!21). % 0.20/0.48 tff(formula54, axiom, % 0.20/0.48 k!431($i!val!13) = $i!val!13). % 0.20/0.48 tff(formula55, axiom, % 0.20/0.48 k!431($i!val!19) = $i!val!19). % 0.20/0.48 tff(formula56, axiom, % 0.20/0.48 k!431($i!val!10) = $i!val!10). % 0.20/0.48 tff(formula57, axiom, % 0.20/0.48 k!431($i!val!20) = $i!val!20). % 0.20/0.48 tff(formula58, axiom, % 0.20/0.48 ![X0: $i] : ((~((($i!val!16 = X0)) | (($i!val!23 = X0)) | (($i!val!9 = X0)) | (($i!val!11 = X0)) | (($i!val!12 = X0)) | (($i!val!21 = X0)) | (($i!val!13 = X0)) | (($i!val!19 = X0)) | (($i!val!10 = X0)) | (($i!val!20 = X0)))) => (k!431(X0) = $i!val!15))). % 0.20/0.48 tff(formula59, axiom, % 0.20/0.48 ![X0: $i] : (c2_1(X0) <=> (k!430(X0) = $i!val!5))). % 0.20/0.48 tff(formula60, axiom, % 0.20/0.48 ![X0: $i] : (c3_1(X0) <=> $false)). % 0.20/0.48 tff(formula61, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((k!430(X1) = $i!val!3) & (k!431(X0) = $i!val!11)))). % 0.20/0.48 tff(formula62, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (~((k!430(X1) = $i!val!22) & (k!431(X0) = $i!val!23))))). % 0.20/0.48 tff(formula63, axiom, % 0.20/0.48 ![X0: $i] : (c4_1(X0) <=> ((~(k!430(X0) = $i!val!18)) & (~(k!430(X0) = $i!val!7)) & (~(k!430(X0) = $i!val!14))))). % 0.20/0.48 tff(formula64, axiom, % 0.20/0.48 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 0.20/0.48 tff(formula65, axiom, % 0.20/0.48 k!430($i!val!14) = $i!val!14). % 0.20/0.48 tff(formula66, axiom, % 0.20/0.48 k!430($i!val!4) = $i!val!4). % 0.20/0.48 tff(formula67, axiom, % 0.20/0.48 k!430($i!val!2) = $i!val!2). % 0.20/0.48 tff(formula68, axiom, % 0.20/0.48 k!430($i!val!18) = $i!val!18). % 0.20/0.48 tff(formula69, axiom, % 0.20/0.48 k!430($i!val!6) = $i!val!6). % 0.20/0.48 tff(formula70, axiom, % 0.20/0.48 k!430($i!val!8) = $i!val!8). % 0.20/0.48 tff(formula71, axiom, % 0.20/0.48 k!430($i!val!17) = $i!val!17). % 0.20/0.48 tff(formula72, axiom, % 0.20/0.48 k!430($i!val!3) = $i!val!3). % 0.20/0.48 tff(formula73, axiom, % 0.20/0.48 k!430($i!val!5) = $i!val!5). % 0.20/0.48 tff(formula74, axiom, % 0.20/0.48 k!430($i!val!1) = $i!val!1). % 0.20/0.48 tff(formula75, axiom, % 0.20/0.48 k!430($i!val!7) = $i!val!7). % 0.20/0.48 tff(formula76, axiom, % 0.20/0.48 k!430($i!val!0) = $i!val!0). % 0.20/0.48 tff(formula77, axiom, % 0.20/0.48 ![X0: $i] : ((~((($i!val!14 = X0)) | (($i!val!4 = X0)) | (($i!val!2 = X0)) | (($i!val!18 = X0)) | (($i!val!6 = X0)) | (($i!val!8 = X0)) | (($i!val!17 = X0)) | (($i!val!3 = X0)) | (($i!val!5 = X0)) | (($i!val!1 = X0)) | (($i!val!7 = X0)) | (($i!val!0 = X0)))) => (k!430(X0) = $i!val!22))). % 0.20/0.48 % SZS output end Model % 0.20/0.48 % E exiting %------------------------------------------------------------------------------