%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYO582+1 : TPTP v9.0.0. Released v5.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n003.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 05:41:55 AM UTC 2025 % Result : CounterSatisfiable 0.19s 0.42s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYO582+1 : TPTP v9.0.0. Released v5.5.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n003.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Jun 20 13:11:54 EDT 2025 % 0.12/0.34 % CPUTime : % 0.19/0.42 % SZS status CounterSatisfiable % 0.19/0.42 % SZS output start Model % 0.19/0.42 tff(tptp_fun__i_val_20_type, type, ( % 0.19/0.42 tptp_fun__i_val_20: $i)). % 0.19/0.42 tff(k!33_type, type, ( % 0.19/0.42 k!33: $i > $i)). % 0.19/0.42 tff(tptp_fun__i_val_15_type, type, ( % 0.19/0.42 tptp_fun__i_val_15: $i)). % 0.19/0.42 tff(b48_buttercup10421_type, type, ( % 0.19/0.42 b48_buttercup10421: $i > $o)). % 0.19/0.42 tff(tptp_fun__i_val_18_type, type, ( % 0.19/0.42 tptp_fun__i_val_18: $i)). % 0.19/0.42 tff(b48_buttercup10521_type, type, ( % 0.19/0.42 b48_buttercup10521: $i > $o)). % 0.19/0.42 tff(tptp_fun__i_val_8_type, type, ( % 0.19/0.42 tptp_fun__i_val_8: $i)). % 0.19/0.42 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.42 tptp_fun__i_val_6: $i)). % 0.19/0.42 tff(tptp_fun__i_val_12_type, type, ( % 0.19/0.42 tptp_fun__i_val_12: $i)). % 0.19/0.42 tff(b48_buttercup10519_type, type, ( % 0.19/0.42 b48_buttercup10519: $i > $o)). % 0.19/0.42 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.42 tptp_fun__i_val_4: $i)). % 0.19/0.42 tff(b48_buttercup10222_type, type, ( % 0.19/0.42 b48_buttercup10222: $i > $o)). % 0.19/0.42 tff(tptp_fun__i_val_29_type, type, ( % 0.19/0.42 tptp_fun__i_val_29: $i)). % 0.19/0.42 tff(b48_buttercup10520_type, type, ( % 0.19/0.42 b48_buttercup10520: $i > $o)). % 0.19/0.42 tff(tptp_fun__i_val_28_type, type, ( % 0.19/0.42 tptp_fun__i_val_28: $i)). % 0.19/0.42 tff(b48_buttercup10518_type, type, ( % 0.19/0.42 b48_buttercup10518: $i > $o)). % 0.19/0.42 tff(tptp_fun__i_val_21_type, type, ( % 0.19/0.42 tptp_fun__i_val_21: $i)). % 0.19/0.42 tff(b48_buttercup10227_type, type, ( % 0.19/0.42 b48_buttercup10227: $i > $o)). % 0.19/0.42 tff(b48_buttercup10515_type, type, ( % 0.19/0.42 b48_buttercup10515: $i > $o)). % 0.19/0.42 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.42 tptp_fun__i_val_5: $i)). % 0.19/0.42 tff(tptp_fun__i_val_13_type, type, ( % 0.19/0.42 tptp_fun__i_val_13: $i)). % 0.19/0.42 tff(k04_buttercup10419_type, type, ( % 0.19/0.42 k04_buttercup10419: $i > $o)). % 0.19/0.42 tff(k04_buttercup10517_type, type, ( % 0.19/0.42 k04_buttercup10517: $i > $o)). % 0.19/0.42 tff(b48_buttercup10417_type, type, ( % 0.19/0.42 b48_buttercup10417: $i > $o)). % 0.19/0.42 tff(tptp_fun__i_val_32_type, type, ( % 0.19/0.42 tptp_fun__i_val_32: $i)). % 0.19/0.42 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.42 tptp_fun__i_val_2: $i)). % 0.19/0.42 tff(tptp_fun__i_val_25_type, type, ( % 0.19/0.42 tptp_fun__i_val_25: $i)). % 0.19/0.42 tff(tptp_fun__i_val_19_type, type, ( % 0.19/0.42 tptp_fun__i_val_19: $i)). % 0.19/0.42 tff(tptp_fun__i_val_30_type, type, ( % 0.19/0.42 tptp_fun__i_val_30: $i)). % 0.19/0.42 tff(tptp_fun__i_val_26_type, type, ( % 0.19/0.42 tptp_fun__i_val_26: $i)). % 0.19/0.42 tff(tptp_fun__i_val_14_type, type, ( % 0.19/0.42 tptp_fun__i_val_14: $i)). % 0.19/0.42 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.42 tptp_fun__i_val_1: $i)). % 0.19/0.42 tff(tptp_fun__i_val_17_type, type, ( % 0.19/0.42 tptp_fun__i_val_17: $i)). % 0.19/0.42 tff(tptp_fun__i_val_24_type, type, ( % 0.19/0.42 tptp_fun__i_val_24: $i)). % 0.19/0.42 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.42 tptp_fun__i_val_3: $i)). % 0.19/0.42 tff(tptp_fun__i_val_23_type, type, ( % 0.19/0.42 tptp_fun__i_val_23: $i)). % 0.19/0.42 tff(tptp_fun__i_val_10_type, type, ( % 0.19/0.42 tptp_fun__i_val_10: $i)). % 0.19/0.42 tff(tptp_fun__i_val_22_type, type, ( % 0.19/0.42 tptp_fun__i_val_22: $i)). % 0.19/0.42 tff(tptp_fun__i_val_7_type, type, ( % 0.19/0.42 tptp_fun__i_val_7: $i)). % 0.19/0.42 tff(tptp_fun__i_val_9_type, type, ( % 0.19/0.42 tptp_fun__i_val_9: $i)). % 0.19/0.42 tff(tptp_fun__i_val_31_type, type, ( % 0.19/0.42 tptp_fun__i_val_31: $i)). % 0.19/0.42 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.42 tptp_fun__i_val_0: $i)). % 0.19/0.42 tff(tptp_fun__i_val_11_type, type, ( % 0.19/0.42 tptp_fun__i_val_11: $i)). % 0.19/0.42 tff(tptp_fun__i_val_16_type, type, ( % 0.19/0.42 tptp_fun__i_val_16: $i)). % 0.19/0.42 tff(tptp_fun__i_val_27_type, type, ( % 0.19/0.42 tptp_fun__i_val_27: $i)). % 0.19/0.42 tff(b48_buttercup10422_type, type, ( % 0.19/0.42 b48_buttercup10422: $i > $o)). % 0.19/0.42 tff(b48_buttercup10228_type, type, ( % 0.19/0.42 b48_buttercup10228: $i > $o)). % 0.19/0.42 tff(k04_buttercup10225_type, type, ( % 0.19/0.42 k04_buttercup10225: $i > $o)). % 0.19/0.42 tff(b48_buttercup10229_type, type, ( % 0.19/0.42 b48_buttercup10229: $i > $o)). % 0.19/0.42 tff(k04_buttercup10516_type, type, ( % 0.19/0.42 k04_buttercup10516: $i > $o)). % 0.19/0.42 tff(formula1, axiom, % 0.19/0.42 ![X0: $i] : (b48_buttercup10421(X0) <=> ((k!33(X0) = $i!val!15) | (k!33(X0) = $i!val!20)))). % 0.19/0.42 tff(formula2, axiom, % 0.19/0.42 ![X0: $i] : (b48_buttercup10521(X0) <=> (k!33(X0) = $i!val!18))). % 0.19/0.42 tff(formula3, axiom, % 0.19/0.42 ![X0: $i] : (b48_buttercup10519(X0) <=> ((~(k!33(X0) = $i!val!12)) & (~(k!33(X0) = $i!val!6)) & (~(k!33(X0) = $i!val!8))))). % 0.19/0.42 tff(formula4, axiom, % 0.19/0.42 ![X0: $i] : (b48_buttercup10222(X0) <=> (~(k!33(X0) = $i!val!4)))). % 0.19/0.42 tff(formula5, axiom, % 0.19/0.42 ![X0: $i] : (b48_buttercup10520(X0) <=> (k!33(X0) = $i!val!29))). % 0.19/0.42 tff(formula6, axiom, % 0.19/0.42 ![X0: $i] : (b48_buttercup10518(X0) <=> (k!33(X0) = $i!val!28))). % 0.19/0.42 tff(formula7, axiom, % 0.19/0.42 ![X0: $i] : (b48_buttercup10227(X0) <=> (k!33(X0) = $i!val!21))). % 0.19/0.43 tff(formula8, axiom, % 0.19/0.43 ![X0: $i] : (b48_buttercup10515(X0) <=> ((~(k!33(X0) = $i!val!12)) & (~(k!33(X0) = $i!val!6)) & (~(k!33(X0) = $i!val!8))))). % 0.19/0.43 tff(formula9, axiom, % 0.19/0.43 ![X0: $i] : (k04_buttercup10419(X0) <=> ((~(k!33(X0) = $i!val!13)) & (~(k!33(X0) = $i!val!5))))). % 0.19/0.43 tff(formula10, axiom, % 0.19/0.43 ![X0: $i] : (k04_buttercup10517(X0) <=> ((k!33(X0) = $i!val!15) | (k!33(X0) = $i!val!20)))). % 0.19/0.43 tff(formula11, axiom, % 0.19/0.43 ![X0: $i] : (b48_buttercup10417(X0) <=> (~(k!33(X0) = $i!val!12)))). % 0.19/0.43 tff(formula12, axiom, % 0.19/0.43 k!33($i!val!32) = $i!val!32). % 0.19/0.43 tff(formula13, axiom, % 0.19/0.43 k!33($i!val!5) = $i!val!5). % 0.19/0.43 tff(formula14, axiom, % 0.19/0.43 k!33($i!val!20) = $i!val!20). % 0.19/0.43 tff(formula15, axiom, % 0.19/0.43 k!33($i!val!2) = $i!val!2). % 0.19/0.43 tff(formula16, axiom, % 0.19/0.43 k!33($i!val!8) = $i!val!8). % 0.19/0.43 tff(formula17, axiom, % 0.19/0.43 k!33($i!val!18) = $i!val!18). % 0.19/0.43 tff(formula18, axiom, % 0.19/0.43 k!33($i!val!25) = $i!val!25). % 0.19/0.43 tff(formula19, axiom, % 0.19/0.43 k!33($i!val!19) = $i!val!19). % 0.19/0.43 tff(formula20, axiom, % 0.19/0.43 k!33($i!val!30) = $i!val!30). % 0.19/0.43 tff(formula21, axiom, % 0.19/0.43 k!33($i!val!26) = $i!val!26). % 0.19/0.43 tff(formula22, axiom, % 0.19/0.43 k!33($i!val!14) = $i!val!14). % 0.19/0.43 tff(formula23, axiom, % 0.19/0.43 k!33($i!val!1) = $i!val!1). % 0.19/0.43 tff(formula24, axiom, % 0.19/0.43 k!33($i!val!17) = $i!val!17). % 0.19/0.43 tff(formula25, axiom, % 0.19/0.43 k!33($i!val!29) = $i!val!29). % 0.19/0.43 tff(formula26, axiom, % 0.19/0.43 k!33($i!val!24) = $i!val!24). % 0.19/0.43 tff(formula27, axiom, % 0.19/0.43 k!33($i!val!3) = $i!val!3). % 0.19/0.43 tff(formula28, axiom, % 0.19/0.43 k!33($i!val!6) = $i!val!6). % 0.19/0.43 tff(formula29, axiom, % 0.19/0.43 k!33($i!val!28) = $i!val!28). % 0.19/0.43 tff(formula30, axiom, % 0.19/0.43 k!33($i!val!12) = $i!val!12). % 0.19/0.43 tff(formula31, axiom, % 0.19/0.43 k!33($i!val!13) = $i!val!13). % 0.19/0.43 tff(formula32, axiom, % 0.19/0.43 k!33($i!val!23) = $i!val!23). % 0.19/0.43 tff(formula33, axiom, % 0.19/0.43 k!33($i!val!10) = $i!val!10). % 0.19/0.43 tff(formula34, axiom, % 0.19/0.43 k!33($i!val!21) = $i!val!21). % 0.19/0.43 tff(formula35, axiom, % 0.19/0.43 k!33($i!val!22) = $i!val!22). % 0.19/0.43 tff(formula36, axiom, % 0.19/0.43 k!33($i!val!15) = $i!val!15). % 0.19/0.43 tff(formula37, axiom, % 0.19/0.43 k!33($i!val!7) = $i!val!7). % 0.19/0.43 tff(formula38, axiom, % 0.19/0.43 k!33($i!val!9) = $i!val!9). % 0.19/0.43 tff(formula39, axiom, % 0.19/0.43 k!33($i!val!31) = $i!val!31). % 0.19/0.43 tff(formula40, axiom, % 0.19/0.43 k!33($i!val!4) = $i!val!4). % 0.19/0.43 tff(formula41, axiom, % 0.19/0.43 k!33($i!val!0) = $i!val!0). % 0.19/0.43 tff(formula42, axiom, % 0.19/0.43 k!33($i!val!11) = $i!val!11). % 0.19/0.43 tff(formula43, axiom, % 0.19/0.43 k!33($i!val!16) = $i!val!16). % 0.19/0.43 tff(formula44, axiom, % 0.19/0.43 ![X0: $i] : ((~((($i!val!32 = X0)) | (($i!val!5 = X0)) | (($i!val!20 = X0)) | (($i!val!2 = X0)) | (($i!val!8 = X0)) | (($i!val!18 = X0)) | (($i!val!25 = X0)) | (($i!val!19 = X0)) | (($i!val!30 = X0)) | (($i!val!26 = X0)) | (($i!val!14 = X0)) | (($i!val!1 = X0)) | (($i!val!17 = X0)) | (($i!val!29 = X0)) | (($i!val!24 = X0)) | (($i!val!3 = X0)) | (($i!val!6 = X0)) | (($i!val!28 = X0)) | (($i!val!12 = X0)) | (($i!val!13 = X0)) | (($i!val!23 = X0)) | (($i!val!10 = X0)) | (($i!val!21 = X0)) | (($i!val!22 = X0)) | (($i!val!15 = X0)) | (($i!val!7 = X0)) | (($i!val!9 = X0)) | (($i!val!31 = X0)) | (($i!val!4 = X0)) | (($i!val!0 = X0)) | (($i!val!11 = X0)) | (($i!val!16 = X0)))) => (k!33(X0) = $i!val!27))). % 0.19/0.43 tff(formula45, axiom, % 0.19/0.43 ![X0: $i] : (b48_buttercup10422(X0) <=> (k!33(X0) = $i!val!19))). % 0.19/0.43 tff(formula46, axiom, % 0.19/0.43 ![X0: $i] : (b48_buttercup10228(X0) <=> (k!33(X0) = $i!val!26))). % 0.19/0.43 tff(formula47, axiom, % 0.19/0.43 ![X0: $i] : (k04_buttercup10225(X0) <=> ((k!33(X0) = $i!val!7) | (k!33(X0) = $i!val!1) | (k!33(X0) = $i!val!32) | (k!33(X0) = $i!val!14) | (k!33(X0) = $i!val!22) | (k!33(X0) = $i!val!21)))). % 0.19/0.43 tff(formula48, axiom, % 0.19/0.43 ![X0: $i] : (b48_buttercup10229(X0) <=> (k!33(X0) = $i!val!22))). % 0.19/0.43 tff(formula49, axiom, % 0.19/0.43 ![X0: $i] : (k04_buttercup10516(X0) <=> ((~(k!33(X0) = $i!val!12)) & (~(k!33(X0) = $i!val!6))))). % 0.19/0.43 % SZS output end Model % 0.19/0.43 % E exiting %------------------------------------------------------------------------------