%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN537-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n009.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 0.16s 0.39s % Output : Model 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : SYN537-1 : TPTP v9.0.0. Released v2.1.0. % 0.00/0.10 % Command : run_E %s %d THM % 0.10/0.31 % Computer : n009.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Fri Jun 20 12:37:33 EDT 2025 % 0.10/0.31 % CPUTime : % 0.16/0.39 % SZS status Satisfiable % 0.16/0.39 % SZS output start Model % 0.16/0.39 tff(tptp_fun__i_val_5_type, type, ( % 0.16/0.39 tptp_fun__i_val_5: $i)). % 0.16/0.39 tff(a648_type, type, ( % 0.16/0.39 a648: $i)). % 0.16/0.39 tff(tptp_fun__i_val_21_type, type, ( % 0.16/0.39 tptp_fun__i_val_21: $i)). % 0.16/0.39 tff(a654_type, type, ( % 0.16/0.39 a654: $i)). % 0.16/0.39 tff(tptp_fun__i_val_3_type, type, ( % 0.16/0.39 tptp_fun__i_val_3: $i)). % 0.16/0.39 tff(a674_type, type, ( % 0.16/0.39 a674: $i)). % 0.16/0.39 tff(ssSkC3_type, type, ( % 0.16/0.39 ssSkC3: $o)). % 0.16/0.39 tff(tptp_fun__i_val_14_type, type, ( % 0.16/0.39 tptp_fun__i_val_14: $i)). % 0.16/0.39 tff(a662_type, type, ( % 0.16/0.39 a662: $i)). % 0.16/0.39 tff(tptp_fun__i_val_17_type, type, ( % 0.16/0.39 tptp_fun__i_val_17: $i)). % 0.16/0.39 tff(a677_type, type, ( % 0.16/0.39 a677: $i)). % 0.16/0.39 tff(tptp_fun__i_val_13_type, type, ( % 0.16/0.39 tptp_fun__i_val_13: $i)). % 0.16/0.39 tff(a650_type, type, ( % 0.16/0.39 a650: $i)). % 0.16/0.39 tff(c2_0_type, type, ( % 0.16/0.39 c2_0: $o)). % 0.16/0.39 tff(ssSkC4_type, type, ( % 0.16/0.39 ssSkC4: $o)). % 0.16/0.39 tff(tptp_fun__i_val_19_type, type, ( % 0.16/0.39 tptp_fun__i_val_19: $i)). % 0.16/0.39 tff(a669_type, type, ( % 0.16/0.39 a669: $i)). % 0.16/0.39 tff(a658_type, type, ( % 0.16/0.39 a658: $i)). % 0.16/0.39 tff(tptp_fun__i_val_9_type, type, ( % 0.16/0.39 tptp_fun__i_val_9: $i)). % 0.16/0.39 tff(a644_type, type, ( % 0.16/0.39 a644: $i)). % 0.16/0.39 tff(tptp_fun__i_val_15_type, type, ( % 0.16/0.39 tptp_fun__i_val_15: $i)). % 0.16/0.39 tff(a651_type, type, ( % 0.16/0.39 a651: $i)). % 0.16/0.39 tff(tptp_fun__i_val_6_type, type, ( % 0.16/0.39 tptp_fun__i_val_6: $i)). % 0.16/0.39 tff(a679_type, type, ( % 0.16/0.39 a679: $i)). % 0.16/0.39 tff(ssSkC1_type, type, ( % 0.16/0.39 ssSkC1: $o)). % 0.16/0.39 tff(ssSkC5_type, type, ( % 0.16/0.39 ssSkC5: $o)). % 0.16/0.39 tff(a656_type, type, ( % 0.16/0.39 a656: $i)). % 0.16/0.39 tff(a653_type, type, ( % 0.16/0.39 a653: $i)). % 0.16/0.39 tff(ssSkC0_type, type, ( % 0.16/0.39 ssSkC0: $o)). % 0.16/0.39 tff(a668_type, type, ( % 0.16/0.39 a668: $i)). % 0.16/0.39 tff(ndr1_0_type, type, ( % 0.16/0.39 ndr1_0: $o)). % 0.16/0.39 tff(c3_0_type, type, ( % 0.16/0.39 c3_0: $o)). % 0.16/0.39 tff(a660_type, type, ( % 0.16/0.39 a660: $i)). % 0.16/0.39 tff(tptp_fun__i_val_1_type, type, ( % 0.16/0.39 tptp_fun__i_val_1: $i)). % 0.16/0.39 tff(a666_type, type, ( % 0.16/0.39 a666: $i)). % 0.16/0.39 tff(a675_type, type, ( % 0.16/0.39 a675: $i)). % 0.16/0.39 tff(a665_type, type, ( % 0.16/0.39 a665: $i)). % 0.16/0.39 tff(c1_0_type, type, ( % 0.16/0.39 c1_0: $o)). % 0.16/0.39 tff(tptp_fun__i_val_4_type, type, ( % 0.16/0.39 tptp_fun__i_val_4: $i)). % 0.16/0.39 tff(a667_type, type, ( % 0.16/0.39 a667: $i)). % 0.16/0.39 tff(tptp_fun__i_val_10_type, type, ( % 0.16/0.39 tptp_fun__i_val_10: $i)). % 0.16/0.39 tff(a680_type, type, ( % 0.16/0.39 a680: $i)). % 0.16/0.39 tff(tptp_fun__i_val_8_type, type, ( % 0.16/0.39 tptp_fun__i_val_8: $i)). % 0.16/0.39 tff(a672_type, type, ( % 0.16/0.39 a672: $i)). % 0.16/0.39 tff(tptp_fun__i_val_22_type, type, ( % 0.16/0.39 tptp_fun__i_val_22: $i)). % 0.16/0.39 tff(a655_type, type, ( % 0.16/0.39 a655: $i)). % 0.16/0.39 tff(a673_type, type, ( % 0.16/0.39 a673: $i)). % 0.16/0.39 tff(tptp_fun__i_val_18_type, type, ( % 0.16/0.39 tptp_fun__i_val_18: $i)). % 0.16/0.39 tff(a649_type, type, ( % 0.16/0.39 a649: $i)). % 0.16/0.39 tff(tptp_fun__i_val_16_type, type, ( % 0.16/0.39 tptp_fun__i_val_16: $i)). % 0.16/0.39 tff(a652_type, type, ( % 0.16/0.39 a652: $i)). % 0.16/0.39 tff(c5_0_type, type, ( % 0.16/0.39 c5_0: $o)). % 0.16/0.39 tff(tptp_fun__i_val_11_type, type, ( % 0.16/0.39 tptp_fun__i_val_11: $i)). % 0.16/0.39 tff(a661_type, type, ( % 0.16/0.39 a661: $i)). % 0.16/0.39 tff(tptp_fun__i_val_12_type, type, ( % 0.16/0.39 tptp_fun__i_val_12: $i)). % 0.16/0.39 tff(a676_type, type, ( % 0.16/0.39 a676: $i)). % 0.16/0.39 tff(a657_type, type, ( % 0.16/0.39 a657: $i)). % 0.16/0.39 tff(tptp_fun__i_val_20_type, type, ( % 0.16/0.39 tptp_fun__i_val_20: $i)). % 0.16/0.39 tff(a647_type, type, ( % 0.16/0.39 a647: $i)). % 0.16/0.39 tff(tptp_fun__i_val_7_type, type, ( % 0.16/0.39 tptp_fun__i_val_7: $i)). % 0.16/0.39 tff(a678_type, type, ( % 0.16/0.39 a678: $i)). % 0.16/0.39 tff(ssSkC2_type, type, ( % 0.16/0.39 ssSkC2: $o)). % 0.16/0.39 tff(a640_type, type, ( % 0.16/0.39 a640: $i)). % 0.16/0.39 tff(c4_0_type, type, ( % 0.16/0.39 c4_0: $o)). % 0.16/0.39 tff(tptp_fun__i_val_2_type, type, ( % 0.16/0.39 tptp_fun__i_val_2: $i)). % 0.16/0.39 tff(a643_type, type, ( % 0.16/0.39 a643: $i)). % 0.16/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.16/0.39 tptp_fun__i_val_0: $i)). % 0.16/0.39 tff(a659_type, type, ( % 0.16/0.39 a659: $i)). % 0.16/0.39 tff(k!0_type, type, ( % 0.16/0.39 k!0: $i > $i)). % 0.16/0.39 tff(ndr1_1_type, type, ( % 0.16/0.39 ndr1_1: $i > $o)). % 0.16/0.39 tff(c3_2_type, type, ( % 0.16/0.39 c3_2: ( $i * $i ) > $o)). % 0.16/0.39 tff(k!1_type, type, ( % 0.16/0.39 k!1: $i > $i)). % 0.16/0.39 tff(c4_2_type, type, ( % 0.16/0.39 c4_2: ( $i * $i ) > $o)). % 0.16/0.39 tff(c5_1_type, type, ( % 0.16/0.39 c5_1: $i > $o)). % 0.16/0.39 tff(ssSkP0_type, type, ( % 0.16/0.39 ssSkP0: $i > $o)). % 0.16/0.39 tff(c5_2_type, type, ( % 0.16/0.39 c5_2: ( $i * $i ) > $o)). % 0.16/0.39 tff(c2_1_type, type, ( % 0.16/0.39 c2_1: $i > $o)). % 0.16/0.39 tff(c3_1_type, type, ( % 0.16/0.39 c3_1: $i > $o)). % 0.16/0.39 tff(c2_2_type, type, ( % 0.16/0.39 c2_2: ( $i * $i ) > $o)). % 0.16/0.39 tff(c4_1_type, type, ( % 0.16/0.39 c4_1: $i > $o)). % 0.16/0.39 tff(c1_2_type, type, ( % 0.16/0.39 c1_2: ( $i * $i ) > $o)). % 0.16/0.39 tff(c1_1_type, type, ( % 0.16/0.39 c1_1: $i > $o)). % 0.16/0.39 tff(formula1, axiom, % 0.16/0.39 a648 = $i!val!5). % 0.16/0.39 tff(formula2, axiom, % 0.16/0.39 a654 = $i!val!21). % 0.16/0.39 tff(formula3, axiom, % 0.16/0.39 a674 = $i!val!3). % 0.16/0.39 tff(formula4, axiom, % 0.16/0.39 ssSkC3 <=> $false). % 0.16/0.39 tff(formula5, axiom, % 0.16/0.39 a662 = $i!val!14). % 0.16/0.39 tff(formula6, axiom, % 0.16/0.39 a677 = $i!val!17). % 0.16/0.39 tff(formula7, axiom, % 0.16/0.39 a650 = $i!val!13). % 0.16/0.39 tff(formula8, axiom, % 0.16/0.39 c2_0 <=> $true). % 0.16/0.39 tff(formula9, axiom, % 0.16/0.39 ssSkC4 <=> $true). % 0.16/0.39 tff(formula10, axiom, % 0.16/0.39 a669 = $i!val!19). % 0.16/0.39 tff(formula11, axiom, % 0.16/0.39 a658 = $i!val!5). % 0.16/0.39 tff(formula12, axiom, % 0.16/0.39 a644 = $i!val!9). % 0.16/0.39 tff(formula13, axiom, % 0.16/0.39 a651 = $i!val!15). % 0.16/0.39 tff(formula14, axiom, % 0.16/0.39 a679 = $i!val!6). % 0.16/0.39 tff(formula15, axiom, % 0.16/0.39 ssSkC1 <=> $true). % 0.16/0.39 tff(formula16, axiom, % 0.16/0.39 ssSkC5 <=> $false). % 0.16/0.39 tff(formula17, axiom, % 0.16/0.39 a656 = $i!val!19). % 0.16/0.39 tff(formula18, axiom, % 0.16/0.39 a653 = $i!val!19). % 0.16/0.39 tff(formula19, axiom, % 0.16/0.39 ssSkC0 <=> $true). % 0.16/0.39 tff(formula20, axiom, % 0.16/0.39 a668 = $i!val!13). % 0.16/0.39 tff(formula21, axiom, % 0.16/0.39 ndr1_0 <=> $true). % 0.16/0.39 tff(formula22, axiom, % 0.16/0.39 c3_0 <=> $false). % 0.16/0.39 tff(formula23, axiom, % 0.16/0.39 a660 = $i!val!5). % 0.16/0.39 tff(formula24, axiom, % 0.16/0.39 a666 = $i!val!1). % 0.16/0.39 tff(formula25, axiom, % 0.16/0.39 a675 = $i!val!5). % 0.16/0.39 tff(formula26, axiom, % 0.16/0.39 a665 = $i!val!19). % 0.16/0.39 tff(formula27, axiom, % 0.16/0.39 c1_0 <=> $true). % 0.16/0.39 tff(formula28, axiom, % 0.16/0.39 a667 = $i!val!4). % 0.16/0.39 tff(formula29, axiom, % 0.16/0.39 a680 = $i!val!10). % 0.16/0.39 tff(formula30, axiom, % 0.16/0.39 a672 = $i!val!8). % 0.16/0.39 tff(formula31, axiom, % 0.16/0.39 a655 = $i!val!22). % 0.16/0.39 tff(formula32, axiom, % 0.16/0.39 a673 = $i!val!19). % 0.16/0.39 tff(formula33, axiom, % 0.16/0.39 a649 = $i!val!18). % 0.16/0.39 tff(formula34, axiom, % 0.16/0.39 a652 = $i!val!16). % 0.16/0.39 tff(formula35, axiom, % 0.16/0.39 c5_0 <=> $false). % 0.16/0.39 tff(formula36, axiom, % 0.16/0.39 a661 = $i!val!11). % 0.16/0.39 tff(formula37, axiom, % 0.16/0.39 a676 = $i!val!12). % 0.16/0.39 tff(formula38, axiom, % 0.16/0.39 a657 = $i!val!13). % 0.16/0.39 tff(formula39, axiom, % 0.16/0.39 a647 = $i!val!20). % 0.16/0.39 tff(formula40, axiom, % 0.16/0.39 a678 = $i!val!7). % 0.16/0.39 tff(formula41, axiom, % 0.16/0.39 ssSkC2 <=> $true). % 0.16/0.39 tff(formula42, axiom, % 0.16/0.39 a640 = $i!val!9). % 0.16/0.39 tff(formula43, axiom, % 0.16/0.39 c4_0 <=> $false). % 0.16/0.39 tff(formula44, axiom, % 0.16/0.39 a643 = $i!val!2). % 0.16/0.39 tff(formula45, axiom, % 0.16/0.39 a659 = $i!val!0). % 0.16/0.39 tff(formula46, axiom, % 0.16/0.39 ![X0: $i] : (ndr1_1(X0) <=> ((k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!0)))). % 0.16/0.39 tff(formula47, axiom, % 0.16/0.39 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.16/0.39 tff(formula48, axiom, % 0.16/0.39 k!0($i!val!21) = $i!val!21). % 0.16/0.39 tff(formula49, axiom, % 0.16/0.39 k!0($i!val!3) = $i!val!3). % 0.16/0.39 tff(formula50, axiom, % 0.16/0.39 k!0($i!val!4) = $i!val!4). % 0.16/0.39 tff(formula51, axiom, % 0.16/0.39 k!0($i!val!12) = $i!val!12). % 0.16/0.39 tff(formula52, axiom, % 0.16/0.39 k!0($i!val!10) = $i!val!10). % 0.16/0.39 tff(formula53, axiom, % 0.16/0.39 k!0($i!val!5) = $i!val!5). % 0.16/0.39 tff(formula54, axiom, % 0.16/0.39 k!0($i!val!8) = $i!val!8). % 0.16/0.39 tff(formula55, axiom, % 0.16/0.39 k!0($i!val!7) = $i!val!7). % 0.16/0.39 tff(formula56, axiom, % 0.16/0.39 k!0($i!val!1) = $i!val!1). % 0.16/0.39 tff(formula57, axiom, % 0.16/0.39 k!0($i!val!15) = $i!val!15). % 0.16/0.39 tff(formula58, axiom, % 0.16/0.39 k!0($i!val!2) = $i!val!2). % 0.16/0.39 tff(formula59, axiom, % 0.16/0.39 k!0($i!val!0) = $i!val!0). % 0.16/0.39 tff(formula60, axiom, % 0.16/0.39 ![X0: $i] : ((~((($i!val!21 = X0)) | (($i!val!3 = X0)) | (($i!val!4 = X0)) | (($i!val!12 = X0)) | (($i!val!10 = X0)) | (($i!val!5 = X0)) | (($i!val!8 = X0)) | (($i!val!7 = X0)) | (($i!val!1 = X0)) | (($i!val!15 = X0)) | (($i!val!2 = X0)) | (($i!val!0 = X0)))) => (k!0(X0) = $i!val!6))). % 0.16/0.39 tff(formula61, axiom, % 0.16/0.39 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((k!0(X1) = $i!val!3) & (k!1(X0) = $i!val!18)))). % 0.16/0.39 tff(formula62, axiom, % 0.16/0.39 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.16/0.39 tff(formula63, axiom, % 0.16/0.39 ![X0: $i] : (ssSkP0(X0) <=> (~(k!0(X0) = $i!val!3)))). % 0.16/0.39 tff(formula64, axiom, % 0.16/0.39 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!0(X1) = $i!val!0) & (k!1(X0) = $i!val!20)) | ((k!0(X1) = $i!val!3) & (k!1(X0) = $i!val!20))))). % 0.16/0.39 tff(formula65, axiom, % 0.16/0.39 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!0)))). % 0.16/0.39 tff(formula66, axiom, % 0.16/0.39 ![X0: $i] : (c3_1(X0) <=> $false)). % 0.16/0.39 tff(formula67, axiom, % 0.16/0.39 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)). % 0.16/0.39 tff(formula68, axiom, % 0.16/0.39 k!1($i!val!19) = $i!val!19). % 0.16/0.39 tff(formula69, axiom, % 0.16/0.39 k!1($i!val!11) = $i!val!11). % 0.16/0.39 tff(formula70, axiom, % 0.16/0.39 k!1($i!val!17) = $i!val!17). % 0.16/0.39 tff(formula71, axiom, % 0.16/0.39 k!1($i!val!14) = $i!val!14). % 0.16/0.39 tff(formula72, axiom, % 0.16/0.39 k!1($i!val!13) = $i!val!13). % 0.16/0.39 tff(formula73, axiom, % 0.16/0.39 k!1($i!val!20) = $i!val!20). % 0.16/0.39 tff(formula74, axiom, % 0.16/0.39 k!1($i!val!22) = $i!val!22). % 0.16/0.39 tff(formula75, axiom, % 0.16/0.39 k!1($i!val!9) = $i!val!9). % 0.16/0.39 tff(formula76, axiom, % 0.16/0.39 k!1($i!val!18) = $i!val!18). % 0.16/0.40 tff(formula77, axiom, % 0.16/0.40 ![X0: $i] : ((~((($i!val!19 = X0)) | (($i!val!11 = X0)) | (($i!val!17 = X0)) | (($i!val!14 = X0)) | (($i!val!13 = X0)) | (($i!val!20 = X0)) | (($i!val!22 = X0)) | (($i!val!9 = X0)) | (($i!val!18 = X0)))) => (k!1(X0) = $i!val!16))). % 0.16/0.40 tff(formula78, axiom, % 0.16/0.40 ![X0: $i] : (c4_1(X0) <=> (k!0(X0) = $i!val!3))). % 0.16/0.40 tff(formula79, axiom, % 0.16/0.40 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((k!0(X1) = $i!val!3) & (k!1(X0) = $i!val!18)))). % 0.16/0.40 tff(formula80, axiom, % 0.16/0.40 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.16/0.40 % SZS output end Model % 0.16/0.40 % E exiting %------------------------------------------------------------------------------