%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LCL671+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 03:00:33 PM UTC 2026 % Result : CounterSatisfiable 1.66s 1.98s % Output : Model 1.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL671+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.09/0.34 % Computer : n027.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Fri Sep 4 14:34:29 UTC 2026 % 0.09/0.35 % CPUTime : % 1.66/1.98 % SZS status CounterSatisfiable % 1.66/1.98 % SZS output start Model % 1.66/1.98 tff(tptp_fun__i_val_27_type, type, ( % 1.66/1.98 tptp_fun__i_val_27: $i)). % 1.66/1.98 tff(k!523_type, type, ( % 1.66/1.98 k!523: $i > $i)). % 1.66/1.98 tff(tptp_fun__i_val_17_type, type, ( % 1.66/1.98 tptp_fun__i_val_17: $i)). % 1.66/1.98 tff(tptp_fun__i_val_8_type, type, ( % 1.66/1.98 tptp_fun__i_val_8: $i)). % 1.66/1.98 tff(tptp_fun__i_val_29_type, type, ( % 1.66/1.98 tptp_fun__i_val_29: $i)). % 1.66/1.98 tff(tptp_fun__i_val_34_type, type, ( % 1.66/1.98 tptp_fun__i_val_34: $i)). % 1.66/1.98 tff(tptp_fun__i_val_12_type, type, ( % 1.66/1.98 tptp_fun__i_val_12: $i)). % 1.66/1.98 tff(tptp_fun__i_val_0_type, type, ( % 1.66/1.98 tptp_fun__i_val_0: $i)). % 1.66/1.98 tff(tptp_fun__i_val_18_type, type, ( % 1.66/1.98 tptp_fun__i_val_18: $i)). % 1.66/1.98 tff(tptp_fun__i_val_2_type, type, ( % 1.66/1.98 tptp_fun__i_val_2: $i)). % 1.66/1.98 tff(tptp_fun__i_val_5_type, type, ( % 1.66/1.98 tptp_fun__i_val_5: $i)). % 1.66/1.98 tff(tptp_fun__i_val_20_type, type, ( % 1.66/1.98 tptp_fun__i_val_20: $i)). % 1.66/1.98 tff(tptp_fun__i_val_9_type, type, ( % 1.66/1.98 tptp_fun__i_val_9: $i)). % 1.66/1.98 tff(tptp_fun__i_val_14_type, type, ( % 1.66/1.98 tptp_fun__i_val_14: $i)). % 1.66/1.98 tff(tptp_fun__i_val_26_type, type, ( % 1.66/1.98 tptp_fun__i_val_26: $i)). % 1.66/1.98 tff(tptp_fun__i_val_10_type, type, ( % 1.66/1.98 tptp_fun__i_val_10: $i)). % 1.66/1.98 tff(tptp_fun__i_val_1_type, type, ( % 1.66/1.98 tptp_fun__i_val_1: $i)). % 1.66/1.98 tff(tptp_fun__i_val_21_type, type, ( % 1.66/1.98 tptp_fun__i_val_21: $i)). % 1.66/1.98 tff(tptp_fun__i_val_30_type, type, ( % 1.66/1.98 tptp_fun__i_val_30: $i)). % 1.66/1.98 tff(tptp_fun__i_val_24_type, type, ( % 1.66/1.98 tptp_fun__i_val_24: $i)). % 1.66/1.98 tff(tptp_fun__i_val_31_type, type, ( % 1.66/1.98 tptp_fun__i_val_31: $i)). % 1.66/1.98 tff(tptp_fun__i_val_4_type, type, ( % 1.66/1.98 tptp_fun__i_val_4: $i)). % 1.66/1.98 tff(tptp_fun__i_val_35_type, type, ( % 1.66/1.98 tptp_fun__i_val_35: $i)). % 1.66/1.98 tff(tptp_fun__i_val_22_type, type, ( % 1.66/1.98 tptp_fun__i_val_22: $i)). % 1.66/1.98 tff(tptp_fun__i_val_19_type, type, ( % 1.66/1.98 tptp_fun__i_val_19: $i)). % 1.66/1.98 tff(tptp_fun__i_val_25_type, type, ( % 1.66/1.98 tptp_fun__i_val_25: $i)). % 1.66/1.98 tff(tptp_fun__i_val_6_type, type, ( % 1.66/1.98 tptp_fun__i_val_6: $i)). % 1.66/1.98 tff(tptp_fun__i_val_32_type, type, ( % 1.66/1.98 tptp_fun__i_val_32: $i)). % 1.66/1.98 tff(tptp_fun__i_val_3_type, type, ( % 1.66/1.98 tptp_fun__i_val_3: $i)). % 1.66/1.98 tff(tptp_fun__i_val_7_type, type, ( % 1.66/1.98 tptp_fun__i_val_7: $i)). % 1.66/1.98 tff(tptp_fun__i_val_33_type, type, ( % 1.66/1.98 tptp_fun__i_val_33: $i)). % 1.66/1.98 tff(tptp_fun__i_val_11_type, type, ( % 1.66/1.98 tptp_fun__i_val_11: $i)). % 1.66/1.98 tff(tptp_fun__i_val_23_type, type, ( % 1.66/1.98 tptp_fun__i_val_23: $i)). % 1.66/1.98 tff(tptp_fun__i_val_28_type, type, ( % 1.66/1.98 tptp_fun__i_val_28: $i)). % 1.66/1.98 tff(tptp_fun__i_val_13_type, type, ( % 1.66/1.98 tptp_fun__i_val_13: $i)). % 1.66/1.98 tff(tptp_fun__i_val_16_type, type, ( % 1.66/1.98 tptp_fun__i_val_16: $i)). % 1.66/1.98 tff(tptp_fun__i_val_15_type, type, ( % 1.66/1.98 tptp_fun__i_val_15: $i)). % 1.66/1.98 tff(p1_type, type, ( % 1.66/1.98 p1: $i > $o)). % 1.66/1.98 tff(p4_type, type, ( % 1.66/1.98 p4: $i > $o)). % 1.66/1.98 tff(p2_type, type, ( % 1.66/1.98 p2: $i > $o)). % 1.66/1.98 tff(r1_type, type, ( % 1.66/1.98 r1: ( $i * $i ) > $o)). % 1.66/1.98 tff(p3_type, type, ( % 1.66/1.98 p3: $i > $o)). % 1.66/1.98 tff(formula1, axiom, % 1.66/1.98 k!523($i!val!27) = $i!val!27). % 1.66/1.98 tff(formula2, axiom, % 1.66/1.98 k!523($i!val!17) = $i!val!17). % 1.66/1.98 tff(formula3, axiom, % 1.66/1.98 k!523($i!val!8) = $i!val!8). % 1.66/1.98 tff(formula4, axiom, % 1.66/1.98 k!523($i!val!29) = $i!val!29). % 1.66/1.98 tff(formula5, axiom, % 1.66/1.98 k!523($i!val!34) = $i!val!34). % 1.66/1.98 tff(formula6, axiom, % 1.66/1.98 k!523($i!val!12) = $i!val!12). % 1.66/1.98 tff(formula7, axiom, % 1.66/1.98 k!523($i!val!0) = $i!val!0). % 1.66/1.98 tff(formula8, axiom, % 1.66/1.98 k!523($i!val!18) = $i!val!18). % 1.66/1.98 tff(formula9, axiom, % 1.66/1.98 k!523($i!val!2) = $i!val!2). % 1.66/1.98 tff(formula10, axiom, % 1.66/1.98 k!523($i!val!5) = $i!val!5). % 1.66/1.98 tff(formula11, axiom, % 1.66/1.98 k!523($i!val!20) = $i!val!20). % 1.66/1.98 tff(formula12, axiom, % 1.66/1.98 k!523($i!val!9) = $i!val!9). % 1.66/1.98 tff(formula13, axiom, % 1.66/1.98 k!523($i!val!14) = $i!val!14). % 1.66/1.98 tff(formula14, axiom, % 1.66/1.98 k!523($i!val!26) = $i!val!26). % 1.66/1.98 tff(formula15, axiom, % 1.66/1.98 k!523($i!val!10) = $i!val!10). % 1.66/1.98 tff(formula16, axiom, % 1.66/1.98 k!523($i!val!1) = $i!val!1). % 1.66/1.98 tff(formula17, axiom, % 1.66/1.98 k!523($i!val!21) = $i!val!21). % 1.66/1.98 tff(formula18, axiom, % 1.66/1.98 k!523($i!val!30) = $i!val!30). % 1.66/1.98 tff(formula19, axiom, % 1.66/1.98 k!523($i!val!24) = $i!val!24). % 1.66/1.98 tff(formula20, axiom, % 1.66/1.98 k!523($i!val!31) = $i!val!31). % 1.66/1.98 tff(formula21, axiom, % 1.66/1.98 k!523($i!val!4) = $i!val!4). % 1.66/1.98 tff(formula22, axiom, % 1.66/1.98 k!523($i!val!35) = $i!val!35). % 1.66/1.98 tff(formula23, axiom, % 1.66/1.98 k!523($i!val!22) = $i!val!22). % 1.66/1.98 tff(formula24, axiom, % 1.66/1.98 k!523($i!val!19) = $i!val!19). % 1.66/1.98 tff(formula25, axiom, % 1.66/1.98 k!523($i!val!25) = $i!val!25). % 1.66/1.98 tff(formula26, axiom, % 1.66/1.98 k!523($i!val!6) = $i!val!6). % 1.66/1.99 tff(formula27, axiom, % 1.66/1.99 k!523($i!val!32) = $i!val!32). % 1.66/1.99 tff(formula28, axiom, % 1.66/1.99 k!523($i!val!3) = $i!val!3). % 1.66/1.99 tff(formula29, axiom, % 1.66/1.99 k!523($i!val!7) = $i!val!7). % 1.66/1.99 tff(formula30, axiom, % 1.66/1.99 k!523($i!val!33) = $i!val!33). % 1.66/1.99 tff(formula31, axiom, % 1.66/1.99 k!523($i!val!11) = $i!val!11). % 1.66/1.99 tff(formula32, axiom, % 1.66/1.99 k!523($i!val!23) = $i!val!23). % 1.66/1.99 tff(formula33, axiom, % 1.66/1.99 k!523($i!val!28) = $i!val!28). % 1.66/1.99 tff(formula34, axiom, % 1.66/1.99 k!523($i!val!13) = $i!val!13). % 1.66/1.99 tff(formula35, axiom, % 1.66/1.99 k!523($i!val!16) = $i!val!16). % 1.66/1.99 tff(formula36, axiom, % 1.66/1.99 ![X0: $i] : ((~((($i!val!27 = X0)) | (($i!val!17 = X0)) | (($i!val!8 = X0)) | (($i!val!29 = X0)) | (($i!val!34 = X0)) | (($i!val!12 = X0)) | (($i!val!0 = X0)) | (($i!val!18 = X0)) | (($i!val!2 = X0)) | (($i!val!5 = X0)) | (($i!val!20 = X0)) | (($i!val!9 = X0)) | (($i!val!14 = X0)) | (($i!val!26 = X0)) | (($i!val!10 = X0)) | (($i!val!1 = X0)) | (($i!val!21 = X0)) | (($i!val!30 = X0)) | (($i!val!24 = X0)) | (($i!val!31 = X0)) | (($i!val!4 = X0)) | (($i!val!35 = X0)) | (($i!val!22 = X0)) | (($i!val!19 = X0)) | (($i!val!25 = X0)) | (($i!val!6 = X0)) | (($i!val!32 = X0)) | (($i!val!3 = X0)) | (($i!val!7 = X0)) | (($i!val!33 = X0)) | (($i!val!11 = X0)) | (($i!val!23 = X0)) | (($i!val!28 = X0)) | (($i!val!13 = X0)) | (($i!val!16 = X0)))) => (k!523(X0) = $i!val!15))). % 1.66/1.99 tff(formula37, axiom, % 1.66/1.99 ![X0: $i] : (p1(X0) <=> ((~(k!523(X0) = $i!val!35)) & (~(k!523(X0) = $i!val!33)) & (~(k!523(X0) = $i!val!30)) & (~(k!523(X0) = $i!val!28)) & (~(k!523(X0) = $i!val!12)) & (~(k!523(X0) = $i!val!10)) & (~(k!523(X0) = $i!val!7)) & (~(k!523(X0) = $i!val!2))))). % 1.66/1.99 tff(formula38, axiom, % 1.66/1.99 ![X0: $i] : (p4(X0) <=> $false)). % 1.66/1.99 tff(formula39, axiom, % 1.66/1.99 ![X0: $i] : (p2(X0) <=> $false)). % 1.66/1.99 tff(formula40, axiom, % 1.66/1.99 ![X0: $i, X1: $i] : (r1(X0, X1) <=> ((~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!33))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!35))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!12))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!10))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!28))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!30))) & (~((k!523(X1) = $i!val!0) & (k!523(X0) = $i!val!14))) & (~((k!523(X1) = $i!val!0) & (k!523(X0) = $i!val!26))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!11))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!14))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!13))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!1))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!6))) & (~((k!523(X1) = $i!val!0) & (k!523(X0) = $i!val!7))) & (~((k!523(X1) = $i!val!0) & (k!523(X0) = $i!val!3))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!7))) & (~((k!523(X1) = $i!val!3) & (k!523(X0) = $i!val!2)))))). % 1.66/1.99 tff(formula41, axiom, % 1.66/1.99 ![X0: $i] : (p3(X0) <=> $true)). % 1.66/1.99 % SZS output end Model % 1.66/1.99 % E exiting %------------------------------------------------------------------------------