%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN446+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n010.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 05:39:08 AM UTC 2025 % Result : CounterSatisfiable 0.18s 0.48s % Output : Model 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYN446+1 : TPTP v9.0.0. Released v2.1.0. % 0.00/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n010.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Jun 20 12:37:12 EDT 2025 % 0.11/0.32 % CPUTime : % 0.18/0.48 % SZS status CounterSatisfiable % 0.18/0.48 % SZS output start Model % 0.18/0.48 tff(hskp8_type, type, ( % 0.18/0.48 hskp8: $o)). % 0.18/0.48 tff(hskp4_type, type, ( % 0.18/0.48 hskp4: $o)). % 0.18/0.48 tff(hskp0_type, type, ( % 0.18/0.48 hskp0: $o)). % 0.18/0.48 tff(hskp14_type, type, ( % 0.18/0.48 hskp14: $o)). % 0.18/0.48 tff(hskp9_type, type, ( % 0.18/0.48 hskp9: $o)). % 0.18/0.48 tff(tptp_fun__i_val_10_type, type, ( % 0.18/0.48 tptp_fun__i_val_10: $i)). % 0.18/0.48 tff(a394_type, type, ( % 0.18/0.48 a394: $i)). % 0.18/0.48 tff(hskp15_type, type, ( % 0.18/0.48 hskp15: $o)). % 0.18/0.48 tff(tptp_fun__i_val_11_type, type, ( % 0.18/0.48 tptp_fun__i_val_11: $i)). % 0.18/0.48 tff(a395_type, type, ( % 0.18/0.48 a395: $i)). % 0.18/0.48 tff(tptp_fun__i_val_1_type, type, ( % 0.18/0.48 tptp_fun__i_val_1: $i)). % 0.18/0.48 tff(a376_type, type, ( % 0.18/0.48 a376: $i)). % 0.18/0.48 tff(tptp_fun__i_val_7_type, type, ( % 0.18/0.48 tptp_fun__i_val_7: $i)). % 0.18/0.48 tff(a385_type, type, ( % 0.18/0.48 a385: $i)). % 0.18/0.48 tff(tptp_fun__i_val_15_type, type, ( % 0.18/0.48 tptp_fun__i_val_15: $i)). % 0.18/0.48 tff(a411_type, type, ( % 0.18/0.48 a411: $i)). % 0.18/0.48 tff(hskp29_type, type, ( % 0.18/0.48 hskp29: $o)). % 0.18/0.48 tff(hskp1_type, type, ( % 0.18/0.48 hskp1: $o)). % 0.18/0.48 tff(tptp_fun__i_val_5_type, type, ( % 0.18/0.48 tptp_fun__i_val_5: $i)). % 0.18/0.48 tff(a381_type, type, ( % 0.18/0.48 a381: $i)). % 0.18/0.48 tff(hskp27_type, type, ( % 0.18/0.48 hskp27: $o)). % 0.18/0.48 tff(hskp11_type, type, ( % 0.18/0.48 hskp11: $o)). % 0.18/0.48 tff(hskp12_type, type, ( % 0.18/0.48 hskp12: $o)). % 0.18/0.48 tff(hskp24_type, type, ( % 0.18/0.48 hskp24: $o)). % 0.18/0.48 tff(ndr1_0_type, type, ( % 0.18/0.48 ndr1_0: $o)). % 0.18/0.48 tff(tptp_fun__i_val_2_type, type, ( % 0.18/0.48 tptp_fun__i_val_2: $i)). % 0.18/0.48 tff(a377_type, type, ( % 0.18/0.48 a377: $i)). % 0.18/0.48 tff(hskp13_type, type, ( % 0.18/0.48 hskp13: $o)). % 0.18/0.48 tff(tptp_fun__i_val_8_type, type, ( % 0.18/0.48 tptp_fun__i_val_8: $i)). % 0.18/0.48 tff(a387_type, type, ( % 0.18/0.48 a387: $i)). % 0.18/0.48 tff(hskp3_type, type, ( % 0.18/0.48 hskp3: $o)). % 0.18/0.48 tff(hskp5_type, type, ( % 0.18/0.48 hskp5: $o)). % 0.18/0.48 tff(tptp_fun__i_val_17_type, type, ( % 0.18/0.48 tptp_fun__i_val_17: $i)). % 0.18/0.48 tff(a427_type, type, ( % 0.18/0.48 a427: $i)). % 0.18/0.48 tff(tptp_fun__i_val_3_type, type, ( % 0.18/0.48 tptp_fun__i_val_3: $i)). % 0.18/0.48 tff(a379_type, type, ( % 0.18/0.48 a379: $i)). % 0.18/0.48 tff(tptp_fun__i_val_18_type, type, ( % 0.18/0.48 tptp_fun__i_val_18: $i)). % 0.18/0.48 tff(a386_type, type, ( % 0.18/0.48 a386: $i)). % 0.18/0.48 tff(tptp_fun__i_val_19_type, type, ( % 0.18/0.48 tptp_fun__i_val_19: $i)). % 0.18/0.48 tff(a397_type, type, ( % 0.18/0.48 a397: $i)). % 0.18/0.48 tff(hskp10_type, type, ( % 0.18/0.48 hskp10: $o)). % 0.18/0.48 tff(tptp_fun__i_val_4_type, type, ( % 0.18/0.48 tptp_fun__i_val_4: $i)). % 0.18/0.48 tff(a380_type, type, ( % 0.18/0.48 a380: $i)). % 0.18/0.48 tff(tptp_fun__i_val_6_type, type, ( % 0.18/0.48 tptp_fun__i_val_6: $i)). % 0.18/0.48 tff(a384_type, type, ( % 0.18/0.48 a384: $i)). % 0.18/0.48 tff(hskp30_type, type, ( % 0.18/0.48 hskp30: $o)). % 0.18/0.48 tff(tptp_fun__i_val_14_type, type, ( % 0.18/0.48 tptp_fun__i_val_14: $i)). % 0.18/0.48 tff(a407_type, type, ( % 0.18/0.48 a407: $i)). % 0.18/0.48 tff(tptp_fun__i_val_0_type, type, ( % 0.18/0.48 tptp_fun__i_val_0: $i)). % 0.18/0.48 tff(a375_type, type, ( % 0.18/0.48 a375: $i)). % 0.18/0.48 tff(hskp19_type, type, ( % 0.18/0.48 hskp19: $o)). % 0.18/0.48 tff(tptp_fun__i_val_12_type, type, ( % 0.18/0.48 tptp_fun__i_val_12: $i)). % 0.18/0.48 tff(a398_type, type, ( % 0.18/0.48 a398: $i)). % 0.18/0.48 tff(hskp20_type, type, ( % 0.18/0.48 hskp20: $o)). % 0.18/0.48 tff(hskp25_type, type, ( % 0.18/0.48 hskp25: $o)). % 0.18/0.48 tff(tptp_fun__i_val_13_type, type, ( % 0.18/0.48 tptp_fun__i_val_13: $i)). % 0.18/0.48 tff(a399_type, type, ( % 0.18/0.48 a399: $i)). % 0.18/0.48 tff(hskp18_type, type, ( % 0.18/0.48 hskp18: $o)). % 0.18/0.48 tff(hskp21_type, type, ( % 0.18/0.48 hskp21: $o)). % 0.18/0.48 tff(hskp22_type, type, ( % 0.18/0.48 hskp22: $o)). % 0.18/0.48 tff(hskp23_type, type, ( % 0.18/0.48 hskp23: $o)). % 0.18/0.48 tff(hskp17_type, type, ( % 0.18/0.48 hskp17: $o)). % 0.18/0.48 tff(tptp_fun__i_val_16_type, type, ( % 0.18/0.48 tptp_fun__i_val_16: $i)). % 0.18/0.48 tff(a420_type, type, ( % 0.18/0.48 a420: $i)). % 0.18/0.48 tff(hskp16_type, type, ( % 0.18/0.48 hskp16: $o)). % 0.18/0.48 tff(tptp_fun__i_val_9_type, type, ( % 0.18/0.48 tptp_fun__i_val_9: $i)). % 0.18/0.48 tff(a392_type, type, ( % 0.18/0.48 a392: $i)). % 0.18/0.48 tff(k!0_type, type, ( % 0.18/0.48 k!0: $i > $i)). % 0.18/0.48 tff(c1_1_type, type, ( % 0.18/0.48 c1_1: $i > $o)). % 0.18/0.48 tff(c2_1_type, type, ( % 0.18/0.48 c2_1: $i > $o)). % 0.18/0.48 tff(c3_1_type, type, ( % 0.18/0.48 c3_1: $i > $o)). % 0.18/0.48 tff(c0_1_type, type, ( % 0.18/0.48 c0_1: $i > $o)). % 0.18/0.48 tff(formula1, axiom, % 0.18/0.48 hskp8 <=> $true). % 0.18/0.48 tff(formula2, axiom, % 0.18/0.48 hskp4 <=> $true). % 0.18/0.48 tff(formula3, axiom, % 0.18/0.48 hskp0 <=> $true). % 0.18/0.48 tff(formula4, axiom, % 0.18/0.48 hskp14 <=> $false). % 0.18/0.48 tff(formula5, axiom, % 0.18/0.48 hskp9 <=> $true). % 0.18/0.48 tff(formula6, axiom, % 0.18/0.48 a394 = $i!val!10). % 0.18/0.48 tff(formula7, axiom, % 0.18/0.48 hskp15 <=> $true). % 0.18/0.48 tff(formula8, axiom, % 0.18/0.48 a395 = $i!val!11). % 0.18/0.48 tff(formula9, axiom, % 0.18/0.48 a376 = $i!val!1). % 0.18/0.48 tff(formula10, axiom, % 0.18/0.48 a385 = $i!val!7). % 0.18/0.48 tff(formula11, axiom, % 0.18/0.48 a411 = $i!val!15). % 0.18/0.48 tff(formula12, axiom, % 0.18/0.48 hskp29 <=> $false). % 0.18/0.48 tff(formula13, axiom, % 0.18/0.48 hskp1 <=> $true). % 0.18/0.48 tff(formula14, axiom, % 0.18/0.48 a381 = $i!val!5). % 0.18/0.48 tff(formula15, axiom, % 0.18/0.48 hskp27 <=> $false). % 0.18/0.49 tff(formula16, axiom, % 0.18/0.49 hskp11 <=> $true). % 0.18/0.49 tff(formula17, axiom, % 0.18/0.49 hskp12 <=> $true). % 0.18/0.49 tff(formula18, axiom, % 0.18/0.49 hskp24 <=> $false). % 0.18/0.49 tff(formula19, axiom, % 0.18/0.49 ndr1_0 <=> $true). % 0.18/0.49 tff(formula20, axiom, % 0.18/0.49 a377 = $i!val!2). % 0.18/0.49 tff(formula21, axiom, % 0.18/0.49 hskp13 <=> $false). % 0.18/0.49 tff(formula22, axiom, % 0.18/0.49 a387 = $i!val!8). % 0.18/0.49 tff(formula23, axiom, % 0.18/0.49 hskp3 <=> $false). % 0.18/0.49 tff(formula24, axiom, % 0.18/0.49 hskp5 <=> $true). % 0.18/0.49 tff(formula25, axiom, % 0.18/0.49 a427 = $i!val!17). % 0.18/0.49 tff(formula26, axiom, % 0.18/0.49 a379 = $i!val!3). % 0.18/0.49 tff(formula27, axiom, % 0.18/0.49 a386 = $i!val!18). % 0.18/0.49 tff(formula28, axiom, % 0.18/0.49 a397 = $i!val!19). % 0.18/0.49 tff(formula29, axiom, % 0.18/0.49 hskp10 <=> $true). % 0.18/0.49 tff(formula30, axiom, % 0.18/0.49 a380 = $i!val!4). % 0.18/0.49 tff(formula31, axiom, % 0.18/0.49 a384 = $i!val!6). % 0.18/0.49 tff(formula32, axiom, % 0.18/0.49 hskp30 <=> $true). % 0.18/0.49 tff(formula33, axiom, % 0.18/0.49 a407 = $i!val!14). % 0.18/0.49 tff(formula34, axiom, % 0.18/0.49 a375 = $i!val!0). % 0.18/0.49 tff(formula35, axiom, % 0.18/0.49 hskp19 <=> $true). % 0.18/0.49 tff(formula36, axiom, % 0.18/0.49 a398 = $i!val!12). % 0.18/0.49 tff(formula37, axiom, % 0.18/0.49 hskp20 <=> $false). % 0.18/0.49 tff(formula38, axiom, % 0.18/0.49 hskp25 <=> $false). % 0.18/0.49 tff(formula39, axiom, % 0.18/0.49 a399 = $i!val!13). % 0.18/0.49 tff(formula40, axiom, % 0.18/0.49 hskp18 <=> $false). % 0.18/0.49 tff(formula41, axiom, % 0.18/0.49 hskp21 <=> $true). % 0.18/0.49 tff(formula42, axiom, % 0.18/0.49 hskp22 <=> $false). % 0.18/0.49 tff(formula43, axiom, % 0.18/0.49 hskp23 <=> $true). % 0.18/0.49 tff(formula44, axiom, % 0.18/0.49 hskp17 <=> $false). % 0.18/0.49 tff(formula45, axiom, % 0.18/0.49 a420 = $i!val!16). % 0.18/0.49 tff(formula46, axiom, % 0.18/0.49 hskp16 <=> $false). % 0.18/0.49 tff(formula47, axiom, % 0.18/0.49 a392 = $i!val!9). % 0.18/0.49 tff(formula48, axiom, % 0.18/0.49 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!2)))). % 0.18/0.49 tff(formula49, axiom, % 0.18/0.49 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!7)))). % 0.18/0.49 tff(formula50, axiom, % 0.18/0.49 ![X0: $i] : (c3_1(X0) <=> ((~(k!0(X0) = $i!val!9)) & (~(k!0(X0) = $i!val!3)) & (~(k!0(X0) = $i!val!17)) & (~(k!0(X0) = $i!val!16)) & (~(k!0(X0) = $i!val!13)) & (~(k!0(X0) = $i!val!12)) & (~(k!0(X0) = $i!val!4)) & (~(k!0(X0) = $i!val!2)) & (~(k!0(X0) = $i!val!1))))). % 0.18/0.49 tff(formula51, axiom, % 0.18/0.49 k!0($i!val!10) = $i!val!10). % 0.18/0.49 tff(formula52, axiom, % 0.18/0.49 k!0($i!val!11) = $i!val!11). % 0.18/0.49 tff(formula53, axiom, % 0.18/0.49 k!0($i!val!6) = $i!val!6). % 0.18/0.49 tff(formula54, axiom, % 0.18/0.49 k!0($i!val!7) = $i!val!7). % 0.18/0.49 tff(formula55, axiom, % 0.18/0.49 k!0($i!val!14) = $i!val!14). % 0.18/0.49 tff(formula56, axiom, % 0.18/0.49 k!0($i!val!0) = $i!val!0). % 0.18/0.49 tff(formula57, axiom, % 0.18/0.49 k!0($i!val!5) = $i!val!5). % 0.18/0.49 tff(formula58, axiom, % 0.18/0.49 k!0($i!val!1) = $i!val!1). % 0.18/0.49 tff(formula59, axiom, % 0.18/0.49 k!0($i!val!15) = $i!val!15). % 0.18/0.49 tff(formula60, axiom, % 0.18/0.49 k!0($i!val!12) = $i!val!12). % 0.18/0.49 tff(formula61, axiom, % 0.18/0.49 k!0($i!val!2) = $i!val!2). % 0.18/0.49 tff(formula62, axiom, % 0.18/0.49 k!0($i!val!13) = $i!val!13). % 0.18/0.49 tff(formula63, axiom, % 0.18/0.49 k!0($i!val!8) = $i!val!8). % 0.18/0.49 tff(formula64, axiom, % 0.18/0.49 k!0($i!val!17) = $i!val!17). % 0.18/0.49 tff(formula65, axiom, % 0.18/0.49 k!0($i!val!18) = $i!val!18). % 0.18/0.49 tff(formula66, axiom, % 0.18/0.49 k!0($i!val!19) = $i!val!19). % 0.18/0.49 tff(formula67, axiom, % 0.18/0.49 k!0($i!val!16) = $i!val!16). % 0.18/0.49 tff(formula68, axiom, % 0.18/0.49 k!0($i!val!3) = $i!val!3). % 0.18/0.49 tff(formula69, axiom, % 0.18/0.49 k!0($i!val!9) = $i!val!9). % 0.18/0.49 tff(formula70, axiom, % 0.18/0.49 ![X0: $i] : ((~((($i!val!10 = X0)) | (($i!val!11 = X0)) | (($i!val!6 = X0)) | (($i!val!7 = X0)) | (($i!val!14 = X0)) | (($i!val!0 = X0)) | (($i!val!5 = X0)) | (($i!val!1 = X0)) | (($i!val!15 = X0)) | (($i!val!12 = X0)) | (($i!val!2 = X0)) | (($i!val!13 = X0)) | (($i!val!8 = X0)) | (($i!val!17 = X0)) | (($i!val!18 = X0)) | (($i!val!19 = X0)) | (($i!val!16 = X0)) | (($i!val!3 = X0)) | (($i!val!9 = X0)))) => (k!0(X0) = $i!val!4))). % 0.18/0.49 tff(formula71, axiom, % 0.18/0.49 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!2)))). % 0.18/0.49 % SZS output end Model % 0.18/0.49 % E exiting %------------------------------------------------------------------------------