%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN533-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n012.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 05:39:30 AM UTC 2025 % Result : Satisfiable 0.20s 0.39s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SYN533-1 : TPTP v9.0.0. Released v2.1.0. % 0.04/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n012.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Jun 20 12:36:55 EDT 2025 % 0.12/0.34 % CPUTime : % 0.20/0.39 % SZS status Satisfiable % 0.20/0.39 % SZS output start Model % 0.20/0.39 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.39 tptp_fun__i_val_12: $i)). % 0.20/0.39 tff(a450_type, type, ( % 0.20/0.39 a450: $i)). % 0.20/0.39 tff(tptp_fun__i_val_16_type, type, ( % 0.20/0.39 tptp_fun__i_val_16: $i)). % 0.20/0.39 tff(a457_type, type, ( % 0.20/0.39 a457: $i)). % 0.20/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.39 tptp_fun__i_val_0: $i)). % 0.20/0.39 tff(a445_type, type, ( % 0.20/0.39 a445: $i)). % 0.20/0.39 tff(a444_type, type, ( % 0.20/0.39 a444: $i)). % 0.20/0.39 tff(ssSkC3_type, type, ( % 0.20/0.39 ssSkC3: $o)). % 0.20/0.39 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.39 tptp_fun__i_val_9: $i)). % 0.20/0.39 tff(a460_type, type, ( % 0.20/0.39 a460: $i)). % 0.20/0.39 tff(c2_0_type, type, ( % 0.20/0.39 c2_0: $o)). % 0.20/0.39 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.39 tptp_fun__i_val_3: $i)). % 0.20/0.39 tff(a447_type, type, ( % 0.20/0.39 a447: $i)). % 0.20/0.39 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.39 tptp_fun__i_val_1: $i)). % 0.20/0.39 tff(a469_type, type, ( % 0.20/0.39 a469: $i)). % 0.20/0.39 tff(ssSkC1_type, type, ( % 0.20/0.39 ssSkC1: $o)). % 0.20/0.39 tff(tptp_fun__i_val_17_type, type, ( % 0.20/0.39 tptp_fun__i_val_17: $i)). % 0.20/0.39 tff(a456_type, type, ( % 0.20/0.39 a456: $i)). % 0.20/0.39 tff(a443_type, type, ( % 0.20/0.39 a443: $i)). % 0.20/0.39 tff(ssSkC0_type, type, ( % 0.20/0.39 ssSkC0: $o)). % 0.20/0.39 tff(ndr1_0_type, type, ( % 0.20/0.39 ndr1_0: $o)). % 0.20/0.39 tff(c3_0_type, type, ( % 0.20/0.39 c3_0: $o)). % 0.20/0.39 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.39 tptp_fun__i_val_5: $i)). % 0.20/0.39 tff(a468_type, type, ( % 0.20/0.39 a468: $i)). % 0.20/0.39 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.39 tptp_fun__i_val_2: $i)). % 0.20/0.39 tff(a453_type, type, ( % 0.20/0.39 a453: $i)). % 0.20/0.39 tff(c1_0_type, type, ( % 0.20/0.39 c1_0: $o)). % 0.20/0.39 tff(tptp_fun__i_val_18_type, type, ( % 0.20/0.39 tptp_fun__i_val_18: $i)). % 0.20/0.39 tff(a452_type, type, ( % 0.20/0.39 a452: $i)). % 0.20/0.39 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.39 tptp_fun__i_val_11: $i)). % 0.20/0.39 tff(a451_type, type, ( % 0.20/0.39 a451: $i)). % 0.20/0.39 tff(a449_type, type, ( % 0.20/0.39 a449: $i)). % 0.20/0.39 tff(tptp_fun__i_val_14_type, type, ( % 0.20/0.39 tptp_fun__i_val_14: $i)). % 0.20/0.39 tff(a448_type, type, ( % 0.20/0.39 a448: $i)). % 0.20/0.39 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.39 tptp_fun__i_val_10: $i)). % 0.20/0.39 tff(a455_type, type, ( % 0.20/0.39 a455: $i)). % 0.20/0.39 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.39 tptp_fun__i_val_7: $i)). % 0.20/0.39 tff(a454_type, type, ( % 0.20/0.39 a454: $i)). % 0.20/0.39 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.39 tptp_fun__i_val_8: $i)). % 0.20/0.39 tff(a461_type, type, ( % 0.20/0.39 a461: $i)). % 0.20/0.39 tff(tptp_fun__i_val_15_type, type, ( % 0.20/0.39 tptp_fun__i_val_15: $i)). % 0.20/0.39 tff(a462_type, type, ( % 0.20/0.39 a462: $i)). % 0.20/0.39 tff(ssSkC2_type, type, ( % 0.20/0.39 ssSkC2: $o)). % 0.20/0.39 tff(tptp_fun__i_val_13_type, type, ( % 0.20/0.39 tptp_fun__i_val_13: $i)). % 0.20/0.39 tff(a446_type, type, ( % 0.20/0.39 a446: $i)). % 0.20/0.39 tff(a458_type, type, ( % 0.20/0.39 a458: $i)). % 0.20/0.39 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.39 tptp_fun__i_val_6: $i)). % 0.20/0.39 tff(a459_type, type, ( % 0.20/0.39 a459: $i)). % 0.20/0.39 tff(c4_0_type, type, ( % 0.20/0.39 c4_0: $o)). % 0.20/0.39 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.39 tptp_fun__i_val_4: $i)). % 0.20/0.39 tff(a470_type, type, ( % 0.20/0.39 a470: $i)). % 0.20/0.39 tff(c5_0_type, type, ( % 0.20/0.39 c5_0: $o)). % 0.20/0.39 tff(k!1_type, type, ( % 0.20/0.39 k!1: $i > $i)). % 0.20/0.39 tff(ndr1_1_type, type, ( % 0.20/0.39 ndr1_1: $i > $o)). % 0.20/0.39 tff(c3_2_type, type, ( % 0.20/0.39 c3_2: ( $i * $i ) > $o)). % 0.20/0.39 tff(c4_2_type, type, ( % 0.20/0.39 c4_2: ( $i * $i ) > $o)). % 0.20/0.39 tff(c5_1_type, type, ( % 0.20/0.39 c5_1: $i > $o)). % 0.20/0.39 tff(ssSkP0_type, type, ( % 0.20/0.39 ssSkP0: $i > $o)). % 0.20/0.39 tff(c5_2_type, type, ( % 0.20/0.39 c5_2: ( $i * $i ) > $o)). % 0.20/0.39 tff(c3_1_type, type, ( % 0.20/0.39 c3_1: $i > $o)). % 0.20/0.39 tff(c2_1_type, type, ( % 0.20/0.39 c2_1: $i > $o)). % 0.20/0.39 tff(c2_2_type, type, ( % 0.20/0.39 c2_2: ( $i * $i ) > $o)). % 0.20/0.39 tff(c4_1_type, type, ( % 0.20/0.39 c4_1: $i > $o)). % 0.20/0.39 tff(c1_2_type, type, ( % 0.20/0.39 c1_2: ( $i * $i ) > $o)). % 0.20/0.39 tff(ssSkP1_type, type, ( % 0.20/0.39 ssSkP1: $i > $o)). % 0.20/0.39 tff(c1_1_type, type, ( % 0.20/0.39 c1_1: $i > $o)). % 0.20/0.39 tff(formula1, axiom, % 0.20/0.39 a450 = $i!val!12). % 0.20/0.39 tff(formula2, axiom, % 0.20/0.39 a457 = $i!val!16). % 0.20/0.39 tff(formula3, axiom, % 0.20/0.39 a445 = $i!val!0). % 0.20/0.39 tff(formula4, axiom, % 0.20/0.39 a444 = $i!val!0). % 0.20/0.39 tff(formula5, axiom, % 0.20/0.39 ssSkC3 <=> $true). % 0.20/0.39 tff(formula6, axiom, % 0.20/0.39 a460 = $i!val!9). % 0.20/0.39 tff(formula7, axiom, % 0.20/0.39 c2_0 <=> $true). % 0.20/0.39 tff(formula8, axiom, % 0.20/0.39 a447 = $i!val!3). % 0.20/0.39 tff(formula9, axiom, % 0.20/0.39 a469 = $i!val!1). % 0.20/0.39 tff(formula10, axiom, % 0.20/0.39 ssSkC1 <=> $false). % 0.20/0.39 tff(formula11, axiom, % 0.20/0.39 a456 = $i!val!17). % 0.20/0.39 tff(formula12, axiom, % 0.20/0.39 a443 = $i!val!0). % 0.20/0.39 tff(formula13, axiom, % 0.20/0.39 ssSkC0 <=> $true). % 0.20/0.39 tff(formula14, axiom, % 0.20/0.39 ndr1_0 <=> $true). % 0.20/0.39 tff(formula15, axiom, % 0.20/0.39 c3_0 <=> $false). % 0.20/0.39 tff(formula16, axiom, % 0.20/0.39 a468 = $i!val!5). % 0.20/0.39 tff(formula17, axiom, % 0.20/0.39 a453 = $i!val!2). % 0.20/0.39 tff(formula18, axiom, % 0.20/0.39 c1_0 <=> $true). % 0.20/0.39 tff(formula19, axiom, % 0.20/0.39 a452 = $i!val!18). % 0.20/0.39 tff(formula20, axiom, % 0.20/0.39 a451 = $i!val!11). % 0.20/0.39 tff(formula21, axiom, % 0.20/0.40 a449 = $i!val!5). % 0.20/0.40 tff(formula22, axiom, % 0.20/0.40 a448 = $i!val!14). % 0.20/0.40 tff(formula23, axiom, % 0.20/0.40 a455 = $i!val!10). % 0.20/0.40 tff(formula24, axiom, % 0.20/0.40 a454 = $i!val!7). % 0.20/0.40 tff(formula25, axiom, % 0.20/0.40 a461 = $i!val!8). % 0.20/0.40 tff(formula26, axiom, % 0.20/0.40 a462 = $i!val!15). % 0.20/0.40 tff(formula27, axiom, % 0.20/0.40 ssSkC2 <=> $true). % 0.20/0.40 tff(formula28, axiom, % 0.20/0.40 a446 = $i!val!13). % 0.20/0.40 tff(formula29, axiom, % 0.20/0.40 a458 = $i!val!1). % 0.20/0.40 tff(formula30, axiom, % 0.20/0.40 a459 = $i!val!6). % 0.20/0.40 tff(formula31, axiom, % 0.20/0.40 c4_0 <=> $true). % 0.20/0.40 tff(formula32, axiom, % 0.20/0.40 a470 = $i!val!4). % 0.20/0.40 tff(formula33, axiom, % 0.20/0.40 c5_0 <=> $true). % 0.20/0.40 tff(formula34, axiom, % 0.20/0.40 ![X0: $i] : (ndr1_1(X0) <=> (~(k!1(X0) = $i!val!10)))). % 0.20/0.40 tff(formula35, axiom, % 0.20/0.40 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.20/0.40 tff(formula36, axiom, % 0.20/0.40 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)). % 0.20/0.40 tff(formula37, axiom, % 0.20/0.40 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.20/0.40 tff(formula38, axiom, % 0.20/0.40 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.20/0.40 tff(formula39, axiom, % 0.20/0.40 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (~((k!1(X1) = $i!val!8) & (X0 = $i!val!15) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!7)))))). % 0.20/0.40 tff(formula40, axiom, % 0.20/0.40 ![X0: $i] : (c3_1(X0) <=> (~(k!1(X0) = $i!val!4)))). % 0.20/0.40 tff(formula41, axiom, % 0.20/0.40 ![X0: $i] : (c2_1(X0) <=> $true)). % 0.20/0.40 tff(formula42, axiom, % 0.20/0.40 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)). % 0.20/0.40 tff(formula43, axiom, % 0.20/0.40 k!1($i!val!8) = $i!val!8). % 0.20/0.40 tff(formula44, axiom, % 0.20/0.40 k!1($i!val!11) = $i!val!11). % 0.20/0.40 tff(formula45, axiom, % 0.20/0.40 k!1($i!val!5) = $i!val!5). % 0.20/0.40 tff(formula46, axiom, % 0.20/0.40 k!1($i!val!9) = $i!val!9). % 0.20/0.40 tff(formula47, axiom, % 0.20/0.40 k!1($i!val!10) = $i!val!10). % 0.20/0.40 tff(formula48, axiom, % 0.20/0.40 k!1($i!val!1) = $i!val!1). % 0.20/0.40 tff(formula49, axiom, % 0.20/0.40 k!1($i!val!3) = $i!val!3). % 0.20/0.40 tff(formula50, axiom, % 0.20/0.40 k!1($i!val!4) = $i!val!4). % 0.20/0.40 tff(formula51, axiom, % 0.20/0.40 k!1($i!val!0) = $i!val!0). % 0.20/0.40 tff(formula52, axiom, % 0.20/0.40 ![X0: $i] : ((~((($i!val!8 = X0)) | (($i!val!11 = X0)) | (($i!val!5 = X0)) | (($i!val!9 = X0)) | (($i!val!10 = X0)) | (($i!val!1 = X0)) | (($i!val!3 = X0)) | (($i!val!4 = X0)) | (($i!val!0 = X0)))) => (k!1(X0) = $i!val!2))). % 0.20/0.40 tff(formula53, axiom, % 0.20/0.40 ![X0: $i] : (c4_1(X0) <=> $false)). % 0.20/0.40 tff(formula54, axiom, % 0.20/0.40 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)). % 0.20/0.40 tff(formula55, axiom, % 0.20/0.40 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 0.20/0.40 tff(formula56, axiom, % 0.20/0.40 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.20/0.40 % SZS output end Model % 0.20/0.40 % E exiting %------------------------------------------------------------------------------