%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN430-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n004.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 05:39:04 AM UTC 2025 % Result : Satisfiable 0.19s 0.40s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN430-1 : TPTP v9.0.0. Released v2.1.0. % 0.06/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n004.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 12:33:52 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.40 % SZS status Satisfiable % 0.19/0.40 % SZS output start Model % 0.19/0.40 tff(tptp_fun__i_val_20_type, type, ( % 0.19/0.40 tptp_fun__i_val_20: $i)). % 0.19/0.40 tff(a112_type, type, ( % 0.19/0.40 a112: $i)). % 0.19/0.40 tff(hskp0_type, type, ( % 0.19/0.40 hskp0: $o)). % 0.19/0.40 tff(hskp14_type, type, ( % 0.19/0.40 hskp14: $o)). % 0.19/0.40 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.40 tptp_fun__i_val_4: $i)). % 0.19/0.40 tff(a117_type, type, ( % 0.19/0.40 a117: $i)). % 0.19/0.40 tff(hskp9_type, type, ( % 0.19/0.40 hskp9: $o)). % 0.19/0.40 tff(tptp_fun__i_val_12_type, type, ( % 0.19/0.40 tptp_fun__i_val_12: $i)). % 0.19/0.40 tff(a114_type, type, ( % 0.19/0.40 a114: $i)). % 0.19/0.40 tff(tptp_fun__i_val_13_type, type, ( % 0.19/0.40 tptp_fun__i_val_13: $i)). % 0.19/0.40 tff(a111_type, type, ( % 0.19/0.40 a111: $i)). % 0.19/0.40 tff(hskp15_type, type, ( % 0.19/0.40 hskp15: $o)). % 0.19/0.40 tff(hskp2_type, type, ( % 0.19/0.40 hskp2: $o)). % 0.19/0.40 tff(tptp_fun__i_val_8_type, type, ( % 0.19/0.40 tptp_fun__i_val_8: $i)). % 0.19/0.40 tff(a106_type, type, ( % 0.19/0.40 a106: $i)). % 0.19/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.40 tptp_fun__i_val_0: $i)). % 0.19/0.40 tff(a131_type, type, ( % 0.19/0.40 a131: $i)). % 0.19/0.40 tff(hskp1_type, type, ( % 0.19/0.40 hskp1: $o)). % 0.19/0.40 tff(tptp_fun__i_val_11_type, type, ( % 0.19/0.40 tptp_fun__i_val_11: $i)). % 0.19/0.40 tff(a122_type, type, ( % 0.19/0.40 a122: $i)). % 0.19/0.40 tff(hskp12_type, type, ( % 0.19/0.40 hskp12: $o)). % 0.19/0.40 tff(hskp24_type, type, ( % 0.19/0.40 hskp24: $o)). % 0.19/0.40 tff(hskp11_type, type, ( % 0.19/0.40 hskp11: $o)). % 0.19/0.40 tff(ndr1_0_type, type, ( % 0.19/0.40 ndr1_0: $o)). % 0.19/0.40 tff(tptp_fun__i_val_10_type, type, ( % 0.19/0.40 tptp_fun__i_val_10: $i)). % 0.19/0.40 tff(a123_type, type, ( % 0.19/0.40 a123: $i)). % 0.19/0.40 tff(hskp13_type, type, ( % 0.19/0.40 hskp13: $o)). % 0.19/0.40 tff(hskp7_type, type, ( % 0.19/0.40 hskp7: $o)). % 0.19/0.40 tff(hskp3_type, type, ( % 0.19/0.40 hskp3: $o)). % 0.19/0.40 tff(hskp5_type, type, ( % 0.19/0.40 hskp5: $o)). % 0.19/0.40 tff(tptp_fun__i_val_14_type, type, ( % 0.19/0.40 tptp_fun__i_val_14: $i)). % 0.19/0.40 tff(a109_type, type, ( % 0.19/0.40 a109: $i)). % 0.19/0.40 tff(hskp6_type, type, ( % 0.19/0.40 hskp6: $o)). % 0.19/0.40 tff(tptp_fun__i_val_16_type, type, ( % 0.19/0.40 tptp_fun__i_val_16: $i)). % 0.19/0.40 tff(a105_type, type, ( % 0.19/0.40 a105: $i)). % 0.19/0.40 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.40 tptp_fun__i_val_6: $i)). % 0.19/0.40 tff(a115_type, type, ( % 0.19/0.40 a115: $i)). % 0.19/0.40 tff(hskp10_type, type, ( % 0.19/0.40 hskp10: $o)). % 0.19/0.40 tff(tptp_fun__i_val_7_type, type, ( % 0.19/0.40 tptp_fun__i_val_7: $i)). % 0.19/0.40 tff(a113_type, type, ( % 0.19/0.40 a113: $i)). % 0.19/0.40 tff(tptp_fun__i_val_18_type, type, ( % 0.19/0.40 tptp_fun__i_val_18: $i)). % 0.19/0.40 tff(a120_type, type, ( % 0.19/0.40 a120: $i)). % 0.19/0.40 tff(tptp_fun__i_val_21_type, type, ( % 0.19/0.40 tptp_fun__i_val_21: $i)). % 0.19/0.40 tff(a110_type, type, ( % 0.19/0.40 a110: $i)). % 0.19/0.40 tff(tptp_fun__i_val_22_type, type, ( % 0.19/0.40 tptp_fun__i_val_22: $i)). % 0.19/0.40 tff(a107_type, type, ( % 0.19/0.40 a107: $i)). % 0.19/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.40 tptp_fun__i_val_3: $i)). % 0.19/0.40 tff(a119_type, type, ( % 0.19/0.40 a119: $i)). % 0.19/0.40 tff(tptp_fun__i_val_15_type, type, ( % 0.19/0.40 tptp_fun__i_val_15: $i)). % 0.19/0.40 tff(a108_type, type, ( % 0.19/0.40 a108: $i)). % 0.19/0.40 tff(tptp_fun__i_val_17_type, type, ( % 0.19/0.40 tptp_fun__i_val_17: $i)). % 0.19/0.40 tff(a127_type, type, ( % 0.19/0.40 a127: $i)). % 0.19/0.40 tff(hskp19_type, type, ( % 0.19/0.40 hskp19: $o)). % 0.19/0.40 tff(tptp_fun__i_val_9_type, type, ( % 0.19/0.40 tptp_fun__i_val_9: $i)). % 0.19/0.40 tff(a128_type, type, ( % 0.19/0.40 a128: $i)). % 0.19/0.40 tff(tptp_fun__i_val_19_type, type, ( % 0.19/0.40 tptp_fun__i_val_19: $i)). % 0.19/0.40 tff(a118_type, type, ( % 0.19/0.40 a118: $i)). % 0.19/0.40 tff(hskp20_type, type, ( % 0.19/0.40 hskp20: $o)). % 0.19/0.40 tff(hskp18_type, type, ( % 0.19/0.40 hskp18: $o)). % 0.19/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.40 tptp_fun__i_val_1: $i)). % 0.19/0.40 tff(a130_type, type, ( % 0.19/0.40 a130: $i)). % 0.19/0.40 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.40 tptp_fun__i_val_5: $i)). % 0.19/0.40 tff(a116_type, type, ( % 0.19/0.40 a116: $i)). % 0.19/0.40 tff(hskp21_type, type, ( % 0.19/0.40 hskp21: $o)). % 0.19/0.40 tff(hskp23_type, type, ( % 0.19/0.40 hskp23: $o)). % 0.19/0.40 tff(hskp22_type, type, ( % 0.19/0.40 hskp22: $o)). % 0.19/0.40 tff(hskp17_type, type, ( % 0.19/0.40 hskp17: $o)). % 0.19/0.40 tff(hskp16_type, type, ( % 0.19/0.40 hskp16: $o)). % 0.19/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.40 tptp_fun__i_val_2: $i)). % 0.19/0.40 tff(a129_type, type, ( % 0.19/0.40 a129: $i)). % 0.19/0.40 tff(hskp4_type, type, ( % 0.19/0.40 hskp4: $o)). % 0.19/0.40 tff(k!0_type, type, ( % 0.19/0.40 k!0: $i > $i)). % 0.19/0.40 tff(c1_1_type, type, ( % 0.19/0.40 c1_1: $i > $o)). % 0.19/0.40 tff(c3_1_type, type, ( % 0.19/0.40 c3_1: $i > $o)). % 0.19/0.40 tff(c2_1_type, type, ( % 0.19/0.40 c2_1: $i > $o)). % 0.19/0.40 tff(c0_1_type, type, ( % 0.19/0.40 c0_1: $i > $o)). % 0.19/0.40 tff(formula1, axiom, % 0.19/0.40 a112 = $i!val!20). % 0.19/0.40 tff(formula2, axiom, % 0.19/0.40 hskp0 <=> $false). % 0.19/0.40 tff(formula3, axiom, % 0.19/0.40 hskp14 <=> $false). % 0.19/0.40 tff(formula4, axiom, % 0.19/0.40 a117 = $i!val!4). % 0.19/0.40 tff(formula5, axiom, % 0.19/0.40 hskp9 <=> $true). % 0.19/0.40 tff(formula6, axiom, % 0.19/0.40 a114 = $i!val!12). % 0.19/0.40 tff(formula7, axiom, % 0.19/0.40 a111 = $i!val!13). % 0.19/0.40 tff(formula8, axiom, % 0.19/0.40 hskp15 <=> $false). % 0.19/0.40 tff(formula9, axiom, % 0.19/0.40 hskp2 <=> $false). % 0.19/0.40 tff(formula10, axiom, % 0.19/0.40 a106 = $i!val!8). % 0.19/0.41 tff(formula11, axiom, % 0.19/0.41 a131 = $i!val!0). % 0.19/0.41 tff(formula12, axiom, % 0.19/0.41 hskp1 <=> $true). % 0.19/0.41 tff(formula13, axiom, % 0.19/0.41 a122 = $i!val!11). % 0.19/0.41 tff(formula14, axiom, % 0.19/0.41 hskp12 <=> $false). % 0.19/0.41 tff(formula15, axiom, % 0.19/0.41 hskp24 <=> $true). % 0.19/0.41 tff(formula16, axiom, % 0.19/0.41 hskp11 <=> $false). % 0.19/0.41 tff(formula17, axiom, % 0.19/0.41 ndr1_0 <=> $true). % 0.19/0.41 tff(formula18, axiom, % 0.19/0.41 a123 = $i!val!10). % 0.19/0.41 tff(formula19, axiom, % 0.19/0.41 hskp13 <=> $false). % 0.19/0.41 tff(formula20, axiom, % 0.19/0.41 hskp7 <=> $false). % 0.19/0.41 tff(formula21, axiom, % 0.19/0.41 hskp3 <=> $false). % 0.19/0.41 tff(formula22, axiom, % 0.19/0.41 hskp5 <=> $false). % 0.19/0.41 tff(formula23, axiom, % 0.19/0.41 a109 = $i!val!14). % 0.19/0.41 tff(formula24, axiom, % 0.19/0.41 hskp6 <=> $true). % 0.19/0.41 tff(formula25, axiom, % 0.19/0.41 a105 = $i!val!16). % 0.19/0.41 tff(formula26, axiom, % 0.19/0.41 a115 = $i!val!6). % 0.19/0.41 tff(formula27, axiom, % 0.19/0.41 hskp10 <=> $false). % 0.19/0.41 tff(formula28, axiom, % 0.19/0.41 a113 = $i!val!7). % 0.19/0.41 tff(formula29, axiom, % 0.19/0.41 a120 = $i!val!18). % 0.19/0.41 tff(formula30, axiom, % 0.19/0.41 a110 = $i!val!21). % 0.19/0.41 tff(formula31, axiom, % 0.19/0.41 a107 = $i!val!22). % 0.19/0.41 tff(formula32, axiom, % 0.19/0.41 a119 = $i!val!3). % 0.19/0.41 tff(formula33, axiom, % 0.19/0.41 a108 = $i!val!15). % 0.19/0.41 tff(formula34, axiom, % 0.19/0.41 a127 = $i!val!17). % 0.19/0.41 tff(formula35, axiom, % 0.19/0.41 hskp19 <=> $false). % 0.19/0.41 tff(formula36, axiom, % 0.19/0.41 a128 = $i!val!9). % 0.19/0.41 tff(formula37, axiom, % 0.19/0.41 a118 = $i!val!19). % 0.19/0.41 tff(formula38, axiom, % 0.19/0.41 hskp20 <=> $false). % 0.19/0.41 tff(formula39, axiom, % 0.19/0.41 hskp18 <=> $true). % 0.19/0.41 tff(formula40, axiom, % 0.19/0.41 a130 = $i!val!1). % 0.19/0.41 tff(formula41, axiom, % 0.19/0.41 a116 = $i!val!5). % 0.19/0.41 tff(formula42, axiom, % 0.19/0.41 hskp21 <=> $false). % 0.19/0.41 tff(formula43, axiom, % 0.19/0.41 hskp23 <=> $false). % 0.19/0.41 tff(formula44, axiom, % 0.19/0.41 hskp22 <=> $false). % 0.19/0.41 tff(formula45, axiom, % 0.19/0.41 hskp17 <=> $false). % 0.19/0.41 tff(formula46, axiom, % 0.19/0.41 hskp16 <=> $false). % 0.19/0.41 tff(formula47, axiom, % 0.19/0.41 a129 = $i!val!2). % 0.19/0.41 tff(formula48, axiom, % 0.19/0.41 hskp4 <=> $false). % 0.19/0.41 tff(formula49, axiom, % 0.19/0.41 ![X0: $i] : (c1_1(X0) <=> (k!0(X0) = $i!val!5))). % 0.19/0.41 tff(formula50, axiom, % 0.19/0.41 ![X0: $i] : (c3_1(X0) <=> (k!0(X0) = $i!val!0))). % 0.19/0.41 tff(formula51, axiom, % 0.19/0.41 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.19/0.41 tff(formula52, axiom, % 0.19/0.41 k!0($i!val!6) = $i!val!6). % 0.19/0.41 tff(formula53, axiom, % 0.19/0.41 k!0($i!val!16) = $i!val!16). % 0.19/0.41 tff(formula54, axiom, % 0.19/0.41 k!0($i!val!4) = $i!val!4). % 0.19/0.41 tff(formula55, axiom, % 0.19/0.41 k!0($i!val!12) = $i!val!12). % 0.19/0.41 tff(formula56, axiom, % 0.19/0.41 k!0($i!val!13) = $i!val!13). % 0.19/0.41 tff(formula57, axiom, % 0.19/0.41 k!0($i!val!8) = $i!val!8). % 0.19/0.41 tff(formula58, axiom, % 0.19/0.41 k!0($i!val!3) = $i!val!3). % 0.19/0.41 tff(formula59, axiom, % 0.19/0.41 k!0($i!val!15) = $i!val!15). % 0.19/0.41 tff(formula60, axiom, % 0.19/0.41 k!0($i!val!17) = $i!val!17). % 0.19/0.41 tff(formula61, axiom, % 0.19/0.41 k!0($i!val!0) = $i!val!0). % 0.19/0.41 tff(formula62, axiom, % 0.19/0.41 k!0($i!val!19) = $i!val!19). % 0.19/0.41 tff(formula63, axiom, % 0.19/0.41 k!0($i!val!11) = $i!val!11). % 0.19/0.41 tff(formula64, axiom, % 0.19/0.41 k!0($i!val!9) = $i!val!9). % 0.19/0.41 tff(formula65, axiom, % 0.19/0.41 k!0($i!val!1) = $i!val!1). % 0.19/0.41 tff(formula66, axiom, % 0.19/0.41 k!0($i!val!5) = $i!val!5). % 0.19/0.41 tff(formula67, axiom, % 0.19/0.41 k!0($i!val!10) = $i!val!10). % 0.19/0.41 tff(formula68, axiom, % 0.19/0.41 k!0($i!val!20) = $i!val!20). % 0.19/0.41 tff(formula69, axiom, % 0.19/0.41 k!0($i!val!21) = $i!val!21). % 0.19/0.41 tff(formula70, axiom, % 0.19/0.41 k!0($i!val!14) = $i!val!14). % 0.19/0.41 tff(formula71, axiom, % 0.19/0.41 k!0($i!val!22) = $i!val!22). % 0.19/0.41 tff(formula72, axiom, % 0.19/0.41 k!0($i!val!2) = $i!val!2). % 0.19/0.41 tff(formula73, axiom, % 0.19/0.41 k!0($i!val!18) = $i!val!18). % 0.19/0.41 tff(formula74, axiom, % 0.19/0.41 ![X0: $i] : ((~((($i!val!6 = X0)) | (($i!val!16 = X0)) | (($i!val!4 = X0)) | (($i!val!12 = X0)) | (($i!val!13 = X0)) | (($i!val!8 = X0)) | (($i!val!3 = X0)) | (($i!val!15 = X0)) | (($i!val!17 = X0)) | (($i!val!0 = X0)) | (($i!val!19 = X0)) | (($i!val!11 = X0)) | (($i!val!9 = X0)) | (($i!val!1 = X0)) | (($i!val!5 = X0)) | (($i!val!10 = X0)) | (($i!val!20 = X0)) | (($i!val!21 = X0)) | (($i!val!14 = X0)) | (($i!val!22 = X0)) | (($i!val!2 = X0)) | (($i!val!18 = X0)))) => (k!0(X0) = $i!val!7))). % 0.19/0.41 tff(formula75, axiom, % 0.19/0.41 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!0)))). % 0.19/0.41 % SZS output end Model % 0.19/0.41 % E exiting %------------------------------------------------------------------------------