%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LCL661+1.010 : TPTP v9.3.1. Released v4.0.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n016.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 03:00:29 PM UTC 2026 % Result : CounterSatisfiable 2.16s 2.42s % Output : Model 2.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL661+1.010 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.07/0.34 % Computer : n016.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Fri Sep 4 17:24:30 UTC 2026 % 0.07/0.34 % CPUTime : % 2.16/2.42 % SZS status CounterSatisfiable % 2.16/2.42 % SZS output start Model % 2.16/2.42 tff(tptp_fun__i_val_1_type, type, ( % 2.16/2.42 tptp_fun__i_val_1: $i)). % 2.16/2.42 tff(k!1486_type, type, ( % 2.16/2.42 k!1486: $i > $i)). % 2.16/2.42 tff(tptp_fun__i_val_7_type, type, ( % 2.16/2.42 tptp_fun__i_val_7: $i)). % 2.16/2.42 tff(tptp_fun__i_val_18_type, type, ( % 2.16/2.42 tptp_fun__i_val_18: $i)). % 2.16/2.42 tff(tptp_fun__i_val_24_type, type, ( % 2.16/2.42 tptp_fun__i_val_24: $i)). % 2.16/2.42 tff(tptp_fun__i_val_25_type, type, ( % 2.16/2.42 tptp_fun__i_val_25: $i)). % 2.16/2.42 tff(tptp_fun__i_val_26_type, type, ( % 2.16/2.42 tptp_fun__i_val_26: $i)). % 2.16/2.42 tff(p2_type, type, ( % 2.16/2.42 p2: $i > $o)). % 2.16/2.42 tff(tptp_fun__i_val_4_type, type, ( % 2.16/2.42 tptp_fun__i_val_4: $i)). % 2.16/2.42 tff(tptp_fun__i_val_16_type, type, ( % 2.16/2.42 tptp_fun__i_val_16: $i)). % 2.16/2.42 tff(tptp_fun__i_val_17_type, type, ( % 2.16/2.42 tptp_fun__i_val_17: $i)). % 2.16/2.42 tff(p1_type, type, ( % 2.16/2.42 p1: $i > $o)). % 2.16/2.42 tff(p4_type, type, ( % 2.16/2.42 p4: $i > $o)). % 2.16/2.42 tff(tptp_fun__i_val_21_type, type, ( % 2.16/2.42 tptp_fun__i_val_21: $i)). % 2.16/2.42 tff(tptp_fun__i_val_28_type, type, ( % 2.16/2.42 tptp_fun__i_val_28: $i)). % 2.16/2.42 tff(tptp_fun__i_val_30_type, type, ( % 2.16/2.42 tptp_fun__i_val_30: $i)). % 2.16/2.42 tff(tptp_fun__i_val_14_type, type, ( % 2.16/2.42 tptp_fun__i_val_14: $i)). % 2.16/2.42 tff(tptp_fun__i_val_3_type, type, ( % 2.16/2.42 tptp_fun__i_val_3: $i)). % 2.16/2.42 tff(tptp_fun__i_val_0_type, type, ( % 2.16/2.42 tptp_fun__i_val_0: $i)). % 2.16/2.42 tff(tptp_fun__i_val_10_type, type, ( % 2.16/2.42 tptp_fun__i_val_10: $i)). % 2.16/2.42 tff(tptp_fun__i_val_9_type, type, ( % 2.16/2.42 tptp_fun__i_val_9: $i)). % 2.16/2.42 tff(tptp_fun__i_val_2_type, type, ( % 2.16/2.42 tptp_fun__i_val_2: $i)). % 2.16/2.42 tff(tptp_fun__i_val_15_type, type, ( % 2.16/2.42 tptp_fun__i_val_15: $i)). % 2.16/2.42 tff(tptp_fun__i_val_23_type, type, ( % 2.16/2.42 tptp_fun__i_val_23: $i)). % 2.16/2.42 tff(tptp_fun__i_val_6_type, type, ( % 2.16/2.42 tptp_fun__i_val_6: $i)). % 2.16/2.42 tff(tptp_fun__i_val_29_type, type, ( % 2.16/2.42 tptp_fun__i_val_29: $i)). % 2.16/2.42 tff(tptp_fun__i_val_8_type, type, ( % 2.16/2.42 tptp_fun__i_val_8: $i)). % 2.16/2.42 tff(tptp_fun__i_val_27_type, type, ( % 2.16/2.42 tptp_fun__i_val_27: $i)). % 2.16/2.42 tff(tptp_fun__i_val_22_type, type, ( % 2.16/2.42 tptp_fun__i_val_22: $i)). % 2.16/2.42 tff(tptp_fun__i_val_20_type, type, ( % 2.16/2.42 tptp_fun__i_val_20: $i)). % 2.16/2.42 tff(tptp_fun__i_val_19_type, type, ( % 2.16/2.42 tptp_fun__i_val_19: $i)). % 2.16/2.42 tff(tptp_fun__i_val_5_type, type, ( % 2.16/2.42 tptp_fun__i_val_5: $i)). % 2.16/2.42 tff(tptp_fun__i_val_11_type, type, ( % 2.16/2.42 tptp_fun__i_val_11: $i)). % 2.16/2.42 tff(tptp_fun__i_val_13_type, type, ( % 2.16/2.42 tptp_fun__i_val_13: $i)). % 2.16/2.42 tff(tptp_fun__i_val_12_type, type, ( % 2.16/2.42 tptp_fun__i_val_12: $i)). % 2.16/2.42 tff(r1_type, type, ( % 2.16/2.42 r1: ( $i * $i ) > $o)). % 2.16/2.42 tff(p3_type, type, ( % 2.16/2.42 p3: $i > $o)). % 2.16/2.42 tff(formula1, axiom, % 2.16/2.42 ![X0: $i] : (p2(X0) <=> ((~(k!1486(X0) = $i!val!26)) & (~(k!1486(X0) = $i!val!25)) & (~(k!1486(X0) = $i!val!24)) & (~(k!1486(X0) = $i!val!18)) & (~(k!1486(X0) = $i!val!7)) & (~(k!1486(X0) = $i!val!1))))). % 2.16/2.42 tff(formula2, axiom, % 2.16/2.42 ![X0: $i] : (p1(X0) <=> ((~(k!1486(X0) = $i!val!17)) & (~(k!1486(X0) = $i!val!16)) & (~(k!1486(X0) = $i!val!4))))). % 2.16/2.42 tff(formula3, axiom, % 2.16/2.42 ![X0: $i] : (p4(X0) <=> $false)). % 2.16/2.42 tff(formula4, axiom, % 2.16/2.42 ![X0: $i, X1: $i] : (r1(X0, X1) <=> (((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!6)) | ((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!5)) | ((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!4)) | ((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!3)) | ((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!2)) | ((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!1)) | ((k!1486(X1) = $i!val!12) & (k!1486(X0) = $i!val!12)) | ((k!1486(X1) = $i!val!13) & (k!1486(X0) = $i!val!13)) | ((k!1486(X1) = $i!val!11) & (k!1486(X0) = $i!val!11)) | ((k!1486(X1) = $i!val!5) & (k!1486(X0) = $i!val!5)) | ((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!24)) | ((k!1486(X1) = $i!val!4) & (k!1486(X0) = $i!val!23)) | ((k!1486(X1) = $i!val!17) & (k!1486(X0) = $i!val!22)) | ((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!0)) | ((k!1486(X1) = $i!val!19) & (k!1486(X0) = $i!val!19)) | ((k!1486(X1) = $i!val!20) & (k!1486(X0) = $i!val!20)) | ((k!1486(X1) = $i!val!22) & (k!1486(X0) = $i!val!22)) | ((k!1486(X1) = $i!val!27) & (k!1486(X0) = $i!val!27)) | ((k!1486(X1) = $i!val!8) & (k!1486(X0) = $i!val!8)) | ((k!1486(X1) = $i!val!29) & (k!1486(X0) = $i!val!29)) | ((k!1486(X1) = $i!val!6) & (k!1486(X0) = $i!val!6)) | ((k!1486(X1) = $i!val!23) & (k!1486(X0) = $i!val!23)) | ((k!1486(X1) = $i!val!25) & (k!1486(X0) = $i!val!25)) | ((k!1486(X1) = $i!val!16) & (k!1486(X0) = $i!val!21)) | ((k!1486(X1) = $i!val!15) & (k!1486(X0) = $i!val!15)) | ((k!1486(X1) = $i!val!2) & (k!1486(X0) = $i!val!2)) | ((k!1486(X1) = $i!val!9) & (k!1486(X0) = $i!val!9)) | ((k!1486(X1) = $i!val!16) & (k!1486(X0) = $i!val!16)) | ((k!1486(X1) = $i!val!17) & (k!1486(X0) = $i!val!17)) | ((k!1486(X1) = $i!val!18) & (k!1486(X0) = $i!val!18)) | ((k!1486(X1) = $i!val!1) & (k!1486(X0) = $i!val!1)) | ((k!1486(X1) = $i!val!10) & (k!1486(X0) = $i!val!10)) | ((k!1486(X1) = $i!val!1) & (k!1486(X0) = $i!val!18)) | ((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!16)) | ((k!1486(X1) = $i!val!16) & (k!1486(X0) = $i!val!17)) | ((k!1486(X1) = $i!val!0) & (k!1486(X0) = $i!val!7)) | ((k!1486(X1) = $i!val!3) & (k!1486(X0) = $i!val!3)) | ((k!1486(X1) = $i!val!14) & (k!1486(X0) = $i!val!14)) | ((k!1486(X1) = $i!val!4) & (k!1486(X0) = $i!val!4)) | ((k!1486(X1) = $i!val!7) & (k!1486(X0) = $i!val!7)) | ((k!1486(X1) = $i!val!24) & (k!1486(X0) = $i!val!24)) | ((k!1486(X1) = $i!val!30) & (k!1486(X0) = $i!val!30)) | ((k!1486(X1) = $i!val!26) & (k!1486(X0) = $i!val!26)) | ((k!1486(X1) = $i!val!7) & (k!1486(X0) = $i!val!26)) | ((k!1486(X1) = $i!val!24) & (k!1486(X0) = $i!val!25)) | ((k!1486(X1) = $i!val!28) & (k!1486(X0) = $i!val!28)) | ((k!1486(X1) = $i!val!21) & (k!1486(X0) = $i!val!21))))). % 2.16/2.43 tff(formula5, axiom, % 2.16/2.43 ![X0: $i] : (p3(X0) <=> (k!1486(X0) = $i!val!2))). % 2.16/2.43 tff(formula6, axiom, % 2.16/2.43 k!1486($i!val!9) = $i!val!9). % 2.16/2.43 tff(formula7, axiom, % 2.16/2.43 k!1486($i!val!26) = $i!val!26). % 2.16/2.43 tff(formula8, axiom, % 2.16/2.43 k!1486($i!val!27) = $i!val!27). % 2.16/2.43 tff(formula9, axiom, % 2.16/2.43 k!1486($i!val!16) = $i!val!16). % 2.16/2.43 tff(formula10, axiom, % 2.16/2.43 k!1486($i!val!10) = $i!val!10). % 2.16/2.43 tff(formula11, axiom, % 2.16/2.43 k!1486($i!val!7) = $i!val!7). % 2.16/2.43 tff(formula12, axiom, % 2.16/2.43 k!1486($i!val!18) = $i!val!18). % 2.16/2.43 tff(formula13, axiom, % 2.16/2.43 k!1486($i!val!14) = $i!val!14). % 2.16/2.43 tff(formula14, axiom, % 2.16/2.43 k!1486($i!val!2) = $i!val!2). % 2.16/2.43 tff(formula15, axiom, % 2.16/2.43 k!1486($i!val!20) = $i!val!20). % 2.16/2.43 tff(formula16, axiom, % 2.16/2.43 k!1486($i!val!0) = $i!val!0). % 2.16/2.43 tff(formula17, axiom, % 2.16/2.43 k!1486($i!val!8) = $i!val!8). % 2.16/2.43 tff(formula18, axiom, % 2.16/2.43 k!1486($i!val!15) = $i!val!15). % 2.16/2.43 tff(formula19, axiom, % 2.16/2.43 k!1486($i!val!23) = $i!val!23). % 2.16/2.43 tff(formula20, axiom, % 2.16/2.43 k!1486($i!val!22) = $i!val!22). % 2.16/2.43 tff(formula21, axiom, % 2.16/2.43 k!1486($i!val!3) = $i!val!3). % 2.16/2.43 tff(formula22, axiom, % 2.16/2.43 k!1486($i!val!6) = $i!val!6). % 2.16/2.43 tff(formula23, axiom, % 2.16/2.43 k!1486($i!val!11) = $i!val!11). % 2.16/2.43 tff(formula24, axiom, % 2.16/2.43 k!1486($i!val!17) = $i!val!17). % 2.16/2.43 tff(formula25, axiom, % 2.16/2.43 k!1486($i!val!29) = $i!val!29). % 2.16/2.43 tff(formula26, axiom, % 2.16/2.43 k!1486($i!val!25) = $i!val!25). % 2.16/2.43 tff(formula27, axiom, % 2.16/2.43 k!1486($i!val!24) = $i!val!24). % 2.16/2.43 tff(formula28, axiom, % 2.16/2.43 k!1486($i!val!5) = $i!val!5). % 2.16/2.43 tff(formula29, axiom, % 2.16/2.43 k!1486($i!val!28) = $i!val!28). % 2.16/2.43 tff(formula30, axiom, % 2.16/2.43 k!1486($i!val!30) = $i!val!30). % 2.16/2.43 tff(formula31, axiom, % 2.16/2.43 k!1486($i!val!21) = $i!val!21). % 2.16/2.43 tff(formula32, axiom, % 2.16/2.43 k!1486($i!val!1) = $i!val!1). % 2.16/2.43 tff(formula33, axiom, % 2.16/2.43 k!1486($i!val!13) = $i!val!13). % 2.16/2.43 tff(formula34, axiom, % 2.16/2.43 k!1486($i!val!19) = $i!val!19). % 2.16/2.43 tff(formula35, axiom, % 2.16/2.43 k!1486($i!val!4) = $i!val!4). % 2.16/2.43 tff(formula36, axiom, % 2.16/2.43 ![X0: $i] : ((~((($i!val!9 = X0)) | (($i!val!26 = X0)) | (($i!val!27 = X0)) | (($i!val!16 = X0)) | (($i!val!10 = X0)) | (($i!val!7 = X0)) | (($i!val!18 = X0)) | (($i!val!14 = X0)) | (($i!val!2 = X0)) | (($i!val!20 = X0)) | (($i!val!0 = X0)) | (($i!val!8 = X0)) | (($i!val!15 = X0)) | (($i!val!23 = X0)) | (($i!val!22 = X0)) | (($i!val!3 = X0)) | (($i!val!6 = X0)) | (($i!val!11 = X0)) | (($i!val!17 = X0)) | (($i!val!29 = X0)) | (($i!val!25 = X0)) | (($i!val!24 = X0)) | (($i!val!5 = X0)) | (($i!val!28 = X0)) | (($i!val!30 = X0)) | (($i!val!21 = X0)) | (($i!val!1 = X0)) | (($i!val!13 = X0)) | (($i!val!19 = X0)) | (($i!val!4 = X0)))) => (k!1486(X0) = $i!val!12))). % 2.16/2.43 % SZS output end Model % 2.16/2.43 % E exiting %------------------------------------------------------------------------------