%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYO579+1 : TPTP v9.0.0. Released v5.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n013.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 05:41:54 AM UTC 2025 % Result : CounterSatisfiable 0.20s 0.52s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYO579+1 : TPTP v9.0.0. Released v5.5.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n013.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 13:11:53 EDT 2025 % 0.12/0.34 % CPUTime : % 0.20/0.52 % SZS status CounterSatisfiable % 0.20/0.52 % SZS output start Model % 0.20/0.52 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.52 tptp_fun__i_val_10: $i)). % 0.20/0.52 tff(k!56_type, type, ( % 0.20/0.52 k!56: $i > $i)). % 0.20/0.52 tff(tptp_fun__i_val_15_type, type, ( % 0.20/0.52 tptp_fun__i_val_15: $i)). % 0.20/0.52 tff(tptp_fun__i_val_24_type, type, ( % 0.20/0.52 tptp_fun__i_val_24: $i)). % 0.20/0.52 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.52 tptp_fun__i_val_12: $i)). % 0.20/0.52 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.52 tptp_fun__i_val_9: $i)). % 0.20/0.52 tff(tptp_fun__i_val_18_type, type, ( % 0.20/0.52 tptp_fun__i_val_18: $i)). % 0.20/0.52 tff(tptp_fun__i_val_21_type, type, ( % 0.20/0.52 tptp_fun__i_val_21: $i)). % 0.20/0.52 tff(tptp_fun__i_val_22_type, type, ( % 0.20/0.52 tptp_fun__i_val_22: $i)). % 0.20/0.52 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.52 tptp_fun__i_val_8: $i)). % 0.20/0.52 tff(tptp_fun__i_val_20_type, type, ( % 0.20/0.52 tptp_fun__i_val_20: $i)). % 0.20/0.52 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.52 tptp_fun__i_val_7: $i)). % 0.20/0.52 tff(tptp_fun__i_val_17_type, type, ( % 0.20/0.52 tptp_fun__i_val_17: $i)). % 0.20/0.52 tff(k04_buttercup10622_type, type, ( % 0.20/0.52 k04_buttercup10622: $i > $o)). % 0.20/0.52 tff(b48_buttercup10104_type, type, ( % 0.20/0.52 b48_buttercup10104: $i > $o)). % 0.20/0.52 tff(b48_buttercup10110_type, type, ( % 0.20/0.52 b48_buttercup10110: $i > $o)). % 0.20/0.52 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.52 tptp_fun__i_val_4: $i)). % 0.20/0.52 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.52 tptp_fun__i_val_6: $i)). % 0.20/0.52 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.52 tptp_fun__i_val_0: $i)). % 0.20/0.52 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.52 tptp_fun__i_val_2: $i)). % 0.20/0.52 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.52 tptp_fun__i_val_11: $i)). % 0.20/0.52 tff(tptp_fun__i_val_13_type, type, ( % 0.20/0.52 tptp_fun__i_val_13: $i)). % 0.20/0.52 tff(b48_buttercup10098_type, type, ( % 0.20/0.52 b48_buttercup10098: $i > $o)). % 0.20/0.52 tff(b48_buttercup10108_type, type, ( % 0.20/0.52 b48_buttercup10108: $i > $o)). % 0.20/0.52 tff(tptp_fun__i_val_23_type, type, ( % 0.20/0.52 tptp_fun__i_val_23: $i)). % 0.20/0.52 tff(tptp_fun__i_val_16_type, type, ( % 0.20/0.52 tptp_fun__i_val_16: $i)). % 0.20/0.52 tff(k04_buttercup10620_type, type, ( % 0.20/0.52 k04_buttercup10620: $i > $o)). % 0.20/0.52 tff(b48_buttercup10102_type, type, ( % 0.20/0.52 b48_buttercup10102: $i > $o)). % 0.20/0.52 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.52 tptp_fun__i_val_5: $i)). % 0.20/0.52 tff(tptp_fun__i_val_14_type, type, ( % 0.20/0.52 tptp_fun__i_val_14: $i)). % 0.20/0.52 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.52 tptp_fun__i_val_3: $i)). % 0.20/0.52 tff(tptp_fun__i_val_25_type, type, ( % 0.20/0.52 tptp_fun__i_val_25: $i)). % 0.20/0.52 tff(tptp_fun__i_val_19_type, type, ( % 0.20/0.52 tptp_fun__i_val_19: $i)). % 0.20/0.52 tff(tptp_fun__i_val_26_type, type, ( % 0.20/0.52 tptp_fun__i_val_26: $i)). % 0.20/0.52 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.52 tptp_fun__i_val_1: $i)). % 0.20/0.52 tff(b48_buttercup10107_type, type, ( % 0.20/0.52 b48_buttercup10107: $i > $o)). % 0.20/0.52 tff(k04_buttercup10100_type, type, ( % 0.20/0.52 k04_buttercup10100: $i > $o)). % 0.20/0.52 tff(k04_buttercup10619_type, type, ( % 0.20/0.52 k04_buttercup10619: $i > $o)). % 0.20/0.52 tff(b48_buttercup10111_type, type, ( % 0.20/0.52 b48_buttercup10111: $i > $o)). % 0.20/0.52 tff(b48_buttercup10109_type, type, ( % 0.20/0.52 b48_buttercup10109: $i > $o)). % 0.20/0.52 tff(formula1, axiom, % 0.20/0.52 ![X0: $i] : (k04_buttercup10622(X0) <=> ((k!56(X0) = $i!val!17) | (k!56(X0) = $i!val!7) | (k!56(X0) = $i!val!20) | (k!56(X0) = $i!val!8) | (k!56(X0) = $i!val!22) | (k!56(X0) = $i!val!21) | (k!56(X0) = $i!val!18) | (k!56(X0) = $i!val!9) | (k!56(X0) = $i!val!12) | (k!56(X0) = $i!val!24) | (k!56(X0) = $i!val!15) | (k!56(X0) = $i!val!10)))). % 0.20/0.52 tff(formula2, axiom, % 0.20/0.52 ![X0: $i] : (b48_buttercup10104(X0) <=> ((k!56(X0) = $i!val!17) | (k!56(X0) = $i!val!22)))). % 0.20/0.52 tff(formula3, axiom, % 0.20/0.52 ![X0: $i] : (b48_buttercup10110(X0) <=> ((k!56(X0) = $i!val!7) | (k!56(X0) = $i!val!20) | (k!56(X0) = $i!val!10)))). % 0.20/0.52 tff(formula4, axiom, % 0.20/0.52 ![X0: $i] : (b48_buttercup10098(X0) <=> ((~(k!56(X0) = $i!val!13)) & (~(k!56(X0) = $i!val!11)) & (~(k!56(X0) = $i!val!2)) & (~(k!56(X0) = $i!val!0)) & (~(k!56(X0) = $i!val!6)) & (~(k!56(X0) = $i!val!4))))). % 0.20/0.52 tff(formula5, axiom, % 0.20/0.52 ![X0: $i] : (b48_buttercup10108(X0) <=> ((k!56(X0) = $i!val!12) | (k!56(X0) = $i!val!24) | (k!56(X0) = $i!val!15)))). % 0.20/0.52 tff(formula6, axiom, % 0.20/0.52 ![X0: $i] : (k04_buttercup10620(X0) <=> ((k!56(X0) = $i!val!16) | (k!56(X0) = $i!val!23)))). % 0.20/0.52 tff(formula7, axiom, % 0.20/0.52 ![X0: $i] : (b48_buttercup10102(X0) <=> ((k!56(X0) = $i!val!8) | (k!56(X0) = $i!val!21) | (k!56(X0) = $i!val!18) | (k!56(X0) = $i!val!9)))). % 0.20/0.52 tff(formula8, axiom, % 0.20/0.52 k!56($i!val!5) = $i!val!5). % 0.20/0.52 tff(formula9, axiom, % 0.20/0.52 k!56($i!val!20) = $i!val!20). % 0.20/0.53 tff(formula10, axiom, % 0.20/0.53 k!56($i!val!8) = $i!val!8). % 0.20/0.53 tff(formula11, axiom, % 0.20/0.53 k!56($i!val!6) = $i!val!6). % 0.20/0.53 tff(formula12, axiom, % 0.20/0.53 k!56($i!val!13) = $i!val!13). % 0.20/0.53 tff(formula13, axiom, % 0.20/0.53 k!56($i!val!4) = $i!val!4). % 0.20/0.53 tff(formula14, axiom, % 0.20/0.53 k!56($i!val!14) = $i!val!14). % 0.20/0.53 tff(formula15, axiom, % 0.20/0.53 k!56($i!val!22) = $i!val!22). % 0.20/0.53 tff(formula16, axiom, % 0.20/0.53 k!56($i!val!11) = $i!val!11). % 0.20/0.53 tff(formula17, axiom, % 0.20/0.53 k!56($i!val!3) = $i!val!3). % 0.20/0.53 tff(formula18, axiom, % 0.20/0.53 k!56($i!val!24) = $i!val!24). % 0.20/0.53 tff(formula19, axiom, % 0.20/0.53 k!56($i!val!25) = $i!val!25). % 0.20/0.53 tff(formula20, axiom, % 0.20/0.53 k!56($i!val!10) = $i!val!10). % 0.20/0.53 tff(formula21, axiom, % 0.20/0.53 k!56($i!val!18) = $i!val!18). % 0.20/0.53 tff(formula22, axiom, % 0.20/0.53 k!56($i!val!15) = $i!val!15). % 0.20/0.53 tff(formula23, axiom, % 0.20/0.53 k!56($i!val!19) = $i!val!19). % 0.20/0.53 tff(formula24, axiom, % 0.20/0.53 k!56($i!val!23) = $i!val!23). % 0.20/0.53 tff(formula25, axiom, % 0.20/0.53 k!56($i!val!16) = $i!val!16). % 0.20/0.53 tff(formula26, axiom, % 0.20/0.53 k!56($i!val!0) = $i!val!0). % 0.20/0.53 tff(formula27, axiom, % 0.20/0.53 k!56($i!val!7) = $i!val!7). % 0.20/0.53 tff(formula28, axiom, % 0.20/0.53 k!56($i!val!12) = $i!val!12). % 0.20/0.53 tff(formula29, axiom, % 0.20/0.53 k!56($i!val!26) = $i!val!26). % 0.20/0.53 tff(formula30, axiom, % 0.20/0.53 k!56($i!val!9) = $i!val!9). % 0.20/0.53 tff(formula31, axiom, % 0.20/0.53 k!56($i!val!21) = $i!val!21). % 0.20/0.53 tff(formula32, axiom, % 0.20/0.53 k!56($i!val!2) = $i!val!2). % 0.20/0.53 tff(formula33, axiom, % 0.20/0.53 k!56($i!val!1) = $i!val!1). % 0.20/0.53 tff(formula34, axiom, % 0.20/0.53 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!20 = X0)) | (($i!val!8 = X0)) | (($i!val!6 = X0)) | (($i!val!13 = X0)) | (($i!val!4 = X0)) | (($i!val!14 = X0)) | (($i!val!22 = X0)) | (($i!val!11 = X0)) | (($i!val!3 = X0)) | (($i!val!24 = X0)) | (($i!val!25 = X0)) | (($i!val!10 = X0)) | (($i!val!18 = X0)) | (($i!val!15 = X0)) | (($i!val!19 = X0)) | (($i!val!23 = X0)) | (($i!val!16 = X0)) | (($i!val!0 = X0)) | (($i!val!7 = X0)) | (($i!val!12 = X0)) | (($i!val!26 = X0)) | (($i!val!9 = X0)) | (($i!val!21 = X0)) | (($i!val!2 = X0)) | (($i!val!1 = X0)))) => (k!56(X0) = $i!val!17))). % 0.20/0.53 tff(formula35, axiom, % 0.20/0.53 ![X0: $i] : (b48_buttercup10107(X0) <=> ((k!56(X0) = $i!val!16) | (k!56(X0) = $i!val!23)))). % 0.20/0.53 tff(formula36, axiom, % 0.20/0.53 ![X0: $i] : (k04_buttercup10100(X0) <=> ((k!56(X0) = $i!val!14) | (k!56(X0) = $i!val!5) | (k!56(X0) = $i!val!26) | (k!56(X0) = $i!val!3) | (k!56(X0) = $i!val!25) | (k!56(X0) = $i!val!1) | (k!56(X0) = $i!val!19)))). % 0.20/0.53 tff(formula37, axiom, % 0.20/0.53 ![X0: $i] : (k04_buttercup10619(X0) <=> ((~(k!56(X0) = $i!val!6)) & (~(k!56(X0) = $i!val!11)) & (~(k!56(X0) = $i!val!0)) & (~(k!56(X0) = $i!val!13)) & (~(k!56(X0) = $i!val!19)) & (~(k!56(X0) = $i!val!25)) & (~(k!56(X0) = $i!val!26)) & (~(k!56(X0) = $i!val!14)) & (~(k!56(X0) = $i!val!5)) & (~(k!56(X0) = $i!val!1)) & (~(k!56(X0) = $i!val!4)) & (~(k!56(X0) = $i!val!3)) & (~(k!56(X0) = $i!val!2))))). % 0.20/0.53 tff(formula38, axiom, % 0.20/0.53 ![X0: $i] : (b48_buttercup10111(X0) <=> ((k!56(X0) = $i!val!1) | (k!56(X0) = $i!val!19)))). % 0.20/0.53 tff(formula39, axiom, % 0.20/0.53 ![X0: $i] : (b48_buttercup10109(X0) <=> ((k!56(X0) = $i!val!14) | (k!56(X0) = $i!val!5) | (k!56(X0) = $i!val!26) | (k!56(X0) = $i!val!3) | (k!56(X0) = $i!val!25)))). % 0.20/0.53 % SZS output end Model % 0.20/0.53 % E exiting %------------------------------------------------------------------------------