%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN538-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n005.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 05:39:31 AM UTC 2025 % Result : Satisfiable 0.21s 0.51s % Output : Model 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN538-1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.13/0.33 % Computer : n005.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Fri Jun 20 12:37:35 EDT 2025 % 0.13/0.34 % CPUTime : % 0.21/0.51 % SZS status Satisfiable % 0.21/0.51 % SZS output start Model % 0.21/0.51 tff(tptp_fun__i_val_4_type, type, ( % 0.21/0.51 tptp_fun__i_val_4: $i)). % 0.21/0.51 tff(a566_type, type, ( % 0.21/0.51 a566: $i)). % 0.21/0.51 tff(tptp_fun__i_val_15_type, type, ( % 0.21/0.51 tptp_fun__i_val_15: $i)). % 0.21/0.51 tff(a554_type, type, ( % 0.21/0.51 a554: $i)). % 0.21/0.51 tff(tptp_fun__i_val_7_type, type, ( % 0.21/0.51 tptp_fun__i_val_7: $i)). % 0.21/0.51 tff(a565_type, type, ( % 0.21/0.51 a565: $i)). % 0.21/0.51 tff(ssSkC4_type, type, ( % 0.21/0.51 ssSkC4: $o)). % 0.21/0.51 tff(ssSkC3_type, type, ( % 0.21/0.51 ssSkC3: $o)). % 0.21/0.51 tff(tptp_fun__i_val_12_type, type, ( % 0.21/0.51 tptp_fun__i_val_12: $i)). % 0.21/0.51 tff(a574_type, type, ( % 0.21/0.51 a574: $i)). % 0.21/0.51 tff(tptp_fun__i_val_10_type, type, ( % 0.21/0.51 tptp_fun__i_val_10: $i)). % 0.21/0.51 tff(a548_type, type, ( % 0.21/0.51 a548: $i)). % 0.21/0.51 tff(c2_0_type, type, ( % 0.21/0.51 c2_0: $o)). % 0.21/0.51 tff(a572_type, type, ( % 0.21/0.51 a572: $i)). % 0.21/0.51 tff(a571_type, type, ( % 0.21/0.51 a571: $i)). % 0.21/0.51 tff(tptp_fun__i_val_9_type, type, ( % 0.21/0.51 tptp_fun__i_val_9: $i)). % 0.21/0.51 tff(a582_type, type, ( % 0.21/0.51 a582: $i)). % 0.21/0.51 tff(a586_type, type, ( % 0.21/0.51 a586: $i)). % 0.21/0.51 tff(ssSkC1_type, type, ( % 0.21/0.51 ssSkC1: $o)). % 0.21/0.51 tff(ssSkC5_type, type, ( % 0.21/0.51 ssSkC5: $o)). % 0.21/0.51 tff(a559_type, type, ( % 0.21/0.51 a559: $i)). % 0.21/0.51 tff(tptp_fun__i_val_14_type, type, ( % 0.21/0.51 tptp_fun__i_val_14: $i)). % 0.21/0.51 tff(a553_type, type, ( % 0.21/0.51 a553: $i)). % 0.21/0.51 tff(ssSkC0_type, type, ( % 0.21/0.51 ssSkC0: $o)). % 0.21/0.51 tff(a562_type, type, ( % 0.21/0.51 a562: $i)). % 0.21/0.51 tff(ndr1_0_type, type, ( % 0.21/0.51 ndr1_0: $o)). % 0.21/0.51 tff(c3_0_type, type, ( % 0.21/0.51 c3_0: $o)). % 0.21/0.51 tff(tptp_fun__i_val_8_type, type, ( % 0.21/0.51 tptp_fun__i_val_8: $i)). % 0.21/0.51 tff(a579_type, type, ( % 0.21/0.51 a579: $i)). % 0.21/0.51 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.51 tptp_fun__i_val_0: $i)). % 0.21/0.51 tff(a583_type, type, ( % 0.21/0.51 a583: $i)). % 0.21/0.51 tff(a584_type, type, ( % 0.21/0.51 a584: $i)). % 0.21/0.51 tff(a581_type, type, ( % 0.21/0.51 a581: $i)). % 0.21/0.51 tff(ssSkC6_type, type, ( % 0.21/0.51 ssSkC6: $o)). % 0.21/0.51 tff(tptp_fun__i_val_11_type, type, ( % 0.21/0.51 tptp_fun__i_val_11: $i)). % 0.21/0.51 tff(a551_type, type, ( % 0.21/0.51 a551: $i)). % 0.21/0.51 tff(tptp_fun__i_val_16_type, type, ( % 0.21/0.51 tptp_fun__i_val_16: $i)). % 0.21/0.51 tff(a575_type, type, ( % 0.21/0.51 a575: $i)). % 0.21/0.51 tff(tptp_fun__i_val_1_type, type, ( % 0.21/0.51 tptp_fun__i_val_1: $i)). % 0.21/0.51 tff(a549_type, type, ( % 0.21/0.51 a549: $i)). % 0.21/0.51 tff(c1_0_type, type, ( % 0.21/0.51 c1_0: $o)). % 0.21/0.51 tff(a563_type, type, ( % 0.21/0.51 a563: $i)). % 0.21/0.51 tff(tptp_fun__i_val_5_type, type, ( % 0.21/0.51 tptp_fun__i_val_5: $i)). % 0.21/0.51 tff(a557_type, type, ( % 0.21/0.51 a557: $i)). % 0.21/0.51 tff(a580_type, type, ( % 0.21/0.51 a580: $i)). % 0.21/0.51 tff(tptp_fun__i_val_3_type, type, ( % 0.21/0.51 tptp_fun__i_val_3: $i)). % 0.21/0.51 tff(a561_type, type, ( % 0.21/0.51 a561: $i)). % 0.21/0.51 tff(a567_type, type, ( % 0.21/0.51 a567: $i)). % 0.21/0.51 tff(a555_type, type, ( % 0.21/0.51 a555: $i)). % 0.21/0.51 tff(c5_0_type, type, ( % 0.21/0.51 c5_0: $o)). % 0.21/0.51 tff(tptp_fun__i_val_2_type, type, ( % 0.21/0.51 tptp_fun__i_val_2: $i)). % 0.21/0.51 tff(a556_type, type, ( % 0.21/0.51 a556: $i)). % 0.21/0.51 tff(tptp_fun__i_val_13_type, type, ( % 0.21/0.51 tptp_fun__i_val_13: $i)). % 0.21/0.51 tff(a552_type, type, ( % 0.21/0.51 a552: $i)). % 0.21/0.51 tff(tptp_fun__i_val_6_type, type, ( % 0.21/0.51 tptp_fun__i_val_6: $i)). % 0.21/0.51 tff(a569_type, type, ( % 0.21/0.51 a569: $i)). % 0.21/0.51 tff(a550_type, type, ( % 0.21/0.51 a550: $i)). % 0.21/0.51 tff(a576_type, type, ( % 0.21/0.51 a576: $i)). % 0.21/0.51 tff(a578_type, type, ( % 0.21/0.51 a578: $i)). % 0.21/0.51 tff(ssSkC2_type, type, ( % 0.21/0.51 ssSkC2: $o)). % 0.21/0.51 tff(a558_type, type, ( % 0.21/0.51 a558: $i)). % 0.21/0.51 tff(c4_0_type, type, ( % 0.21/0.51 c4_0: $o)). % 0.21/0.51 tff(a560_type, type, ( % 0.21/0.51 a560: $i)). % 0.21/0.51 tff(a570_type, type, ( % 0.21/0.51 a570: $i)). % 0.21/0.51 tff(a573_type, type, ( % 0.21/0.51 a573: $i)). % 0.21/0.51 tff(k!637_type, type, ( % 0.21/0.51 k!637: $i > $i)). % 0.21/0.51 tff(ndr1_1_type, type, ( % 0.21/0.51 ndr1_1: $i > $o)). % 0.21/0.51 tff(c3_2_type, type, ( % 0.21/0.51 c3_2: ( $i * $i ) > $o)). % 0.21/0.51 tff(c4_2_type, type, ( % 0.21/0.51 c4_2: ( $i * $i ) > $o)). % 0.21/0.51 tff(c5_1_type, type, ( % 0.21/0.51 c5_1: $i > $o)). % 0.21/0.51 tff(ssSkP0_type, type, ( % 0.21/0.51 ssSkP0: $i > $o)). % 0.21/0.51 tff(ssSkP2_type, type, ( % 0.21/0.51 ssSkP2: $i > $o)). % 0.21/0.51 tff(c5_2_type, type, ( % 0.21/0.51 c5_2: ( $i * $i ) > $o)). % 0.21/0.51 tff(c3_1_type, type, ( % 0.21/0.51 c3_1: $i > $o)). % 0.21/0.51 tff(c2_1_type, type, ( % 0.21/0.51 c2_1: $i > $o)). % 0.21/0.51 tff(c4_1_type, type, ( % 0.21/0.51 c4_1: $i > $o)). % 0.21/0.51 tff(c1_2_type, type, ( % 0.21/0.51 c1_2: ( $i * $i ) > $o)). % 0.21/0.51 tff(ssSkP1_type, type, ( % 0.21/0.51 ssSkP1: $i > $o)). % 0.21/0.51 tff(c2_2_type, type, ( % 0.21/0.51 c2_2: ( $i * $i ) > $o)). % 0.21/0.51 tff(ssSkP3_type, type, ( % 0.21/0.51 ssSkP3: $i > $o)). % 0.21/0.51 tff(c1_1_type, type, ( % 0.21/0.51 c1_1: $i > $o)). % 0.21/0.51 tff(formula1, axiom, % 0.21/0.51 a566 = $i!val!4). % 0.21/0.51 tff(formula2, axiom, % 0.21/0.51 a554 = $i!val!15). % 0.21/0.51 tff(formula3, axiom, % 0.21/0.51 a565 = $i!val!7). % 0.21/0.51 tff(formula4, axiom, % 0.21/0.51 ssSkC4 <=> $false). % 0.21/0.51 tff(formula5, axiom, % 0.21/0.51 ssSkC3 <=> $true). % 0.21/0.51 tff(formula6, axiom, % 0.21/0.51 a574 = $i!val!12). % 0.21/0.51 tff(formula7, axiom, % 0.21/0.51 a548 = $i!val!10). % 0.21/0.51 tff(formula8, axiom, % 0.21/0.51 c2_0 <=> $false). % 0.21/0.51 tff(formula9, axiom, % 0.21/0.51 a572 = $i!val!7). % 0.21/0.51 tff(formula10, axiom, % 0.21/0.51 a571 = $i!val!7). % 0.21/0.51 tff(formula11, axiom, % 0.21/0.51 a582 = $i!val!9). % 0.21/0.51 tff(formula12, axiom, % 0.21/0.51 a586 = $i!val!15). % 0.21/0.51 tff(formula13, axiom, % 0.21/0.51 ssSkC1 <=> $false). % 0.21/0.51 tff(formula14, axiom, % 0.21/0.51 ssSkC5 <=> $true). % 0.21/0.51 tff(formula15, axiom, % 0.21/0.51 a559 = $i!val!9). % 0.21/0.51 tff(formula16, axiom, % 0.21/0.51 a553 = $i!val!14). % 0.21/0.51 tff(formula17, axiom, % 0.21/0.51 ssSkC0 <=> $true). % 0.21/0.51 tff(formula18, axiom, % 0.21/0.51 a562 = $i!val!9). % 0.21/0.51 tff(formula19, axiom, % 0.21/0.51 ndr1_0 <=> $true). % 0.21/0.51 tff(formula20, axiom, % 0.21/0.51 c3_0 <=> $false). % 0.21/0.51 tff(formula21, axiom, % 0.21/0.51 a579 = $i!val!8). % 0.21/0.51 tff(formula22, axiom, % 0.21/0.51 a583 = $i!val!0). % 0.21/0.51 tff(formula23, axiom, % 0.21/0.51 a584 = $i!val!4). % 0.21/0.51 tff(formula24, axiom, % 0.21/0.51 a581 = $i!val!9). % 0.21/0.51 tff(formula25, axiom, % 0.21/0.51 ssSkC6 <=> $false). % 0.21/0.51 tff(formula26, axiom, % 0.21/0.51 a551 = $i!val!11). % 0.21/0.51 tff(formula27, axiom, % 0.21/0.51 a575 = $i!val!16). % 0.21/0.51 tff(formula28, axiom, % 0.21/0.51 a549 = $i!val!1). % 0.21/0.51 tff(formula29, axiom, % 0.21/0.51 c1_0 <=> $false). % 0.21/0.51 tff(formula30, axiom, % 0.21/0.51 a563 = $i!val!9). % 0.21/0.51 tff(formula31, axiom, % 0.21/0.51 a557 = $i!val!5). % 0.21/0.51 tff(formula32, axiom, % 0.21/0.51 a580 = $i!val!9). % 0.21/0.51 tff(formula33, axiom, % 0.21/0.51 a561 = $i!val!3). % 0.21/0.51 tff(formula34, axiom, % 0.21/0.51 a567 = $i!val!1). % 0.21/0.51 tff(formula35, axiom, % 0.21/0.51 a555 = $i!val!4). % 0.21/0.51 tff(formula36, axiom, % 0.21/0.51 c5_0 <=> $false). % 0.21/0.51 tff(formula37, axiom, % 0.21/0.51 a556 = $i!val!2). % 0.21/0.51 tff(formula38, axiom, % 0.21/0.51 a552 = $i!val!13). % 0.21/0.51 tff(formula39, axiom, % 0.21/0.51 a569 = $i!val!6). % 0.21/0.51 tff(formula40, axiom, % 0.21/0.51 a550 = $i!val!7). % 0.21/0.51 tff(formula41, axiom, % 0.21/0.51 a576 = $i!val!0). % 0.21/0.51 tff(formula42, axiom, % 0.21/0.51 a578 = $i!val!5). % 0.21/0.51 tff(formula43, axiom, % 0.21/0.51 ssSkC2 <=> $false). % 0.21/0.51 tff(formula44, axiom, % 0.21/0.51 a558 = $i!val!12). % 0.21/0.51 tff(formula45, axiom, % 0.21/0.51 c4_0 <=> $true). % 0.21/0.51 tff(formula46, axiom, % 0.21/0.51 a560 = $i!val!0). % 0.21/0.51 tff(formula47, axiom, % 0.21/0.51 a570 = $i!val!15). % 0.21/0.51 tff(formula48, axiom, % 0.21/0.51 a573 = $i!val!7). % 0.21/0.51 tff(formula49, axiom, % 0.21/0.51 ![X0: $i] : (ndr1_1(X0) <=> ((~(k!637(X0) = $i!val!13)) & (~(k!637(X0) = $i!val!5)) & (~(k!637(X0) = $i!val!6)) & (~(k!637(X0) = $i!val!1))))). % 0.21/0.51 tff(formula50, axiom, % 0.21/0.51 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((k!637(X1) = $i!val!0) & (X0 = $i!val!8) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!15))))). % 0.21/0.51 tff(formula51, axiom, % 0.21/0.51 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((k!637(X1) = $i!val!0) & (X0 = $i!val!8) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!15))))). % 0.21/0.51 tff(formula52, axiom, % 0.21/0.51 ![X0: $i] : (c5_1(X0) <=> (~(k!637(X0) = $i!val!7)))). % 0.21/0.51 tff(formula53, axiom, % 0.21/0.51 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.21/0.51 tff(formula54, axiom, % 0.21/0.51 ![X0: $i] : (ssSkP2(X0) <=> ((~(k!637(X0) = $i!val!7)) & (~(k!637(X0) = $i!val!2)) & (~(k!637(X0) = $i!val!12)) & (~(k!637(X0) = $i!val!4))))). % 0.21/0.51 tff(formula55, axiom, % 0.21/0.51 k!637($i!val!2) = $i!val!2). % 0.21/0.51 tff(formula56, axiom, % 0.21/0.51 k!637($i!val!13) = $i!val!13). % 0.21/0.51 tff(formula57, axiom, % 0.21/0.51 k!637($i!val!12) = $i!val!12). % 0.21/0.51 tff(formula58, axiom, % 0.21/0.51 k!637($i!val!7) = $i!val!7). % 0.21/0.51 tff(formula59, axiom, % 0.21/0.51 k!637($i!val!6) = $i!val!6). % 0.21/0.51 tff(formula60, axiom, % 0.21/0.51 k!637($i!val!5) = $i!val!5). % 0.21/0.51 tff(formula61, axiom, % 0.21/0.51 k!637($i!val!3) = $i!val!3). % 0.21/0.51 tff(formula62, axiom, % 0.21/0.51 k!637($i!val!0) = $i!val!0). % 0.21/0.51 tff(formula63, axiom, % 0.21/0.51 k!637($i!val!4) = $i!val!4). % 0.21/0.51 tff(formula64, axiom, % 0.21/0.51 k!637($i!val!1) = $i!val!1). % 0.21/0.51 tff(formula65, axiom, % 0.21/0.51 ![X0: $i] : ((~((($i!val!2 = X0)) | (($i!val!13 = X0)) | (($i!val!12 = X0)) | (($i!val!7 = X0)) | (($i!val!6 = X0)) | (($i!val!5 = X0)) | (($i!val!3 = X0)) | (($i!val!0 = X0)) | (($i!val!4 = X0)) | (($i!val!1 = X0)))) => (k!637(X0) = $i!val!11))). % 0.21/0.51 tff(formula66, axiom, % 0.21/0.51 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (~((k!637(X1) = $i!val!5) & (X0 = $i!val!9) & (~(X0 = $i!val!15)))))). % 0.21/0.51 tff(formula67, axiom, % 0.21/0.51 ![X0: $i] : (c3_1(X0) <=> ((~(k!637(X0) = $i!val!4)) & (~(k!637(X0) = $i!val!2)) & (~(k!637(X0) = $i!val!12)) & (~(k!637(X0) = $i!val!7))))). % 0.21/0.51 tff(formula68, axiom, % 0.21/0.51 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.21/0.51 tff(formula69, axiom, % 0.21/0.51 ![X0: $i] : (c4_1(X0) <=> $false)). % 0.21/0.51 tff(formula70, axiom, % 0.21/0.51 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)). % 0.21/0.51 tff(formula71, axiom, % 0.21/0.51 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 0.21/0.51 tff(formula72, axiom, % 0.21/0.51 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((~((k!637(X1) = $i!val!13) & (X0 = $i!val!15))) & (~((k!637(X1) = $i!val!0) & (X0 = $i!val!8) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!15))))))). % 0.21/0.52 tff(formula73, axiom, % 0.21/0.52 ![X0: $i] : (ssSkP3(X0) <=> $true)). % 0.21/0.52 tff(formula74, axiom, % 0.21/0.52 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.21/0.52 % SZS output end Model % 0.21/0.52 % E exiting %------------------------------------------------------------------------------