%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : MGT034+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n004.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 : Tue Sep 8 06:24:02 AM UTC 2026 % Result : CounterSatisfiable 1.80s 2.10s % Output : Model 1.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT034+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.02 % Command : run_E %s %d THM % 0.05/0.32 % Computer : n004.cluster.edu % 0.05/0.32 % Model : x86_64 x86_64 % 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.05/0.32 % Memory : 8046.5625MB % 0.05/0.32 % OS : Linux 6.8.0-71-generic % 0.05/0.32 % CPULimit : 300 % 0.05/0.32 % WCLimit : 300 % 0.05/0.32 % DateTime : Mon Sep 7 12:29:32 UTC 2026 % 0.05/0.33 % CPUTime : % 1.80/2.10 % SZS status CounterSatisfiable % 1.80/2.10 % SZS output start Model % 1.80/2.10 tff(tptp_fun__i_val_12_type, type, ( % 1.80/2.10 tptp_fun__i_val_12: $i)). % 1.80/2.10 tff(zero_type, type, ( % 1.80/2.10 zero: $i)). % 1.80/2.10 tff(tptp_fun__i_val_3_type, type, ( % 1.80/2.10 tptp_fun__i_val_3: $i)). % 1.80/2.10 tff(efficient_producers_type, type, ( % 1.80/2.10 efficient_producers: $i)). % 1.80/2.10 tff(tptp_fun__i_val_5_type, type, ( % 1.80/2.10 tptp_fun__i_val_5: $i)). % 1.80/2.10 tff(first_movers_type, type, ( % 1.80/2.10 first_movers: $i)). % 1.80/2.10 tff(tptp_fun__i_val_1_type, type, ( % 1.80/2.10 tptp_fun__i_val_1: $i)). % 1.80/2.10 tff(critical_point_type, type, ( % 1.80/2.10 critical_point: $i > $i)). % 1.80/2.10 tff(k!1225_type, type, ( % 1.80/2.10 k!1225: $i > $i)). % 1.80/2.10 tff(tptp_fun__i_val_8_type, type, ( % 1.80/2.10 tptp_fun__i_val_8: $i)). % 1.80/2.10 tff(in_environment_type, type, ( % 1.80/2.10 in_environment: ( $i * $i ) > $o)). % 1.80/2.10 tff(subpopulations_type, type, ( % 1.80/2.10 subpopulations: ( $i * $i * $i * $i ) > $o)). % 1.80/2.10 tff(tptp_fun__i_val_27_type, type, ( % 1.80/2.10 tptp_fun__i_val_27: $i)). % 1.80/2.10 tff(tptp_fun__i_val_26_type, type, ( % 1.80/2.10 tptp_fun__i_val_26: $i)). % 1.80/2.10 tff(tptp_fun__i_val_19_type, type, ( % 1.80/2.10 tptp_fun__i_val_19: $i)). % 1.80/2.10 tff(tptp_fun__i_val_15_type, type, ( % 1.80/2.10 tptp_fun__i_val_15: $i)). % 1.80/2.10 tff(tptp_fun__i_val_14_type, type, ( % 1.80/2.10 tptp_fun__i_val_14: $i)). % 1.80/2.10 tff(tptp_fun__i_val_9_type, type, ( % 1.80/2.10 tptp_fun__i_val_9: $i)). % 1.80/2.10 tff(tptp_fun__i_val_10_type, type, ( % 1.80/2.10 tptp_fun__i_val_10: $i)). % 1.80/2.10 tff(tptp_fun__i_val_13_type, type, ( % 1.80/2.10 tptp_fun__i_val_13: $i)). % 1.80/2.10 tff(tptp_fun__i_val_25_type, type, ( % 1.80/2.10 tptp_fun__i_val_25: $i)). % 1.80/2.10 tff(tptp_fun__i_val_6_type, type, ( % 1.80/2.10 tptp_fun__i_val_6: $i)). % 1.80/2.10 tff(tptp_fun__i_val_7_type, type, ( % 1.80/2.10 tptp_fun__i_val_7: $i)). % 1.80/2.10 tff(tptp_fun__i_val_0_type, type, ( % 1.80/2.10 tptp_fun__i_val_0: $i)). % 1.80/2.10 tff(tptp_fun__i_val_28_type, type, ( % 1.80/2.10 tptp_fun__i_val_28: $i)). % 1.80/2.10 tff(tptp_fun__i_val_2_type, type, ( % 1.80/2.10 tptp_fun__i_val_2: $i)). % 1.80/2.10 tff(tptp_fun__i_val_16_type, type, ( % 1.80/2.10 tptp_fun__i_val_16: $i)). % 1.80/2.10 tff(tptp_fun__i_val_4_type, type, ( % 1.80/2.10 tptp_fun__i_val_4: $i)). % 1.80/2.10 tff(tptp_fun__i_val_11_type, type, ( % 1.80/2.10 tptp_fun__i_val_11: $i)). % 1.80/2.10 tff(tptp_fun__i_val_21_type, type, ( % 1.80/2.10 tptp_fun__i_val_21: $i)). % 1.80/2.10 tff(tptp_fun__i_val_20_type, type, ( % 1.80/2.10 tptp_fun__i_val_20: $i)). % 1.80/2.10 tff(tptp_fun__i_val_22_type, type, ( % 1.80/2.10 tptp_fun__i_val_22: $i)). % 1.80/2.10 tff(tptp_fun__i_val_18_type, type, ( % 1.80/2.10 tptp_fun__i_val_18: $i)). % 1.80/2.10 tff(tptp_fun__i_val_17_type, type, ( % 1.80/2.10 tptp_fun__i_val_17: $i)). % 1.80/2.10 tff(tptp_fun__i_val_24_type, type, ( % 1.80/2.10 tptp_fun__i_val_24: $i)). % 1.80/2.10 tff(tptp_fun__i_val_23_type, type, ( % 1.80/2.10 tptp_fun__i_val_23: $i)). % 1.80/2.10 tff(decreases_type, type, ( % 1.80/2.10 decreases: $i > $o)). % 1.80/2.10 tff(appear_type, type, ( % 1.80/2.10 appear: ( $i * $i ) > $i)). % 1.80/2.10 tff(difference_type, type, ( % 1.80/2.10 difference: ( $i * $i ) > $i)). % 1.80/2.10 tff(greater_type, type, ( % 1.80/2.10 greater: ( $i * $i ) > $o)). % 1.80/2.10 tff(selection_favors_type, type, ( % 1.80/2.10 selection_favors: ( $i * $i * $i ) > $o)). % 1.80/2.10 tff(environment_type, type, ( % 1.80/2.10 environment: $i > $o)). % 1.80/2.10 tff(start_time_type, type, ( % 1.80/2.10 start_time: $i > $i)). % 1.80/2.10 tff(disbanding_rate_type, type, ( % 1.80/2.10 disbanding_rate: ( $i * $i ) > $i)). % 1.80/2.10 tff(founding_rate_type, type, ( % 1.80/2.10 founding_rate: ( $i * $i ) > $i)). % 1.80/2.10 tff(growth_rate_type, type, ( % 1.80/2.10 growth_rate: ( $i * $i ) > $i)). % 1.80/2.10 tff(greater_or_equal_type, type, ( % 1.80/2.10 greater_or_equal: ( $i * $i ) > $o)). % 1.80/2.10 tff(formula1, axiom, % 1.80/2.10 zero = $i!val!12). % 1.80/2.10 tff(formula2, axiom, % 1.80/2.10 efficient_producers = $i!val!3). % 1.80/2.10 tff(formula3, axiom, % 1.80/2.10 first_movers = $i!val!5). % 1.80/2.10 tff(formula4, axiom, % 1.80/2.10 ![X0: $i] : (critical_point(X0) = $i!val!1)). % 1.80/2.10 tff(formula5, axiom, % 1.80/2.10 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> ((k!1225(X0) = $i!val!8) | (k!1225(X0) = $i!val!1)))). % 1.80/2.10 tff(formula6, axiom, % 1.80/2.10 ![X0: $i, X1: $i, X2: $i, X3: $i] : (subpopulations(X0, X1, X2, X3) <=> (((X3 = $i!val!3) & (~(X2 = $i!val!3)) & (k!1225(X0) = $i!val!1)) | ((~(X3 = $i!val!3)) & (X2 = $i!val!3) & (k!1225(X0) = $i!val!1))))). % 1.80/2.10 tff(formula7, axiom, % 1.80/2.10 k!1225($i!val!27) = $i!val!27). % 1.80/2.10 tff(formula8, axiom, % 1.80/2.10 k!1225($i!val!26) = $i!val!26). % 1.80/2.10 tff(formula9, axiom, % 1.80/2.10 k!1225($i!val!19) = $i!val!19). % 1.80/2.10 tff(formula10, axiom, % 1.80/2.10 k!1225($i!val!15) = $i!val!15). % 1.80/2.10 tff(formula11, axiom, % 1.80/2.10 k!1225($i!val!14) = $i!val!14). % 1.80/2.10 tff(formula12, axiom, % 1.80/2.10 k!1225($i!val!9) = $i!val!9). % 1.80/2.10 tff(formula13, axiom, % 1.80/2.10 k!1225($i!val!10) = $i!val!10). % 1.80/2.10 tff(formula14, axiom, % 1.80/2.10 k!1225($i!val!13) = $i!val!13). % 1.80/2.10 tff(formula15, axiom, % 1.80/2.10 k!1225($i!val!25) = $i!val!25). % 1.80/2.10 tff(formula16, axiom, % 1.80/2.10 k!1225($i!val!6) = $i!val!6). % 1.80/2.10 tff(formula17, axiom, % 1.80/2.10 k!1225($i!val!7) = $i!val!7). % 1.80/2.10 tff(formula18, axiom, % 1.80/2.10 k!1225($i!val!0) = $i!val!0). % 1.80/2.10 tff(formula19, axiom, % 1.80/2.10 k!1225($i!val!28) = $i!val!28). % 1.80/2.10 tff(formula20, axiom, % 1.80/2.10 k!1225($i!val!2) = $i!val!2). % 1.80/2.10 tff(formula21, axiom, % 1.80/2.10 k!1225($i!val!12) = $i!val!12). % 1.80/2.10 tff(formula22, axiom, % 1.80/2.10 k!1225($i!val!8) = $i!val!8). % 1.80/2.10 tff(formula23, axiom, % 1.80/2.10 k!1225($i!val!16) = $i!val!16). % 1.80/2.10 tff(formula24, axiom, % 1.80/2.10 k!1225($i!val!4) = $i!val!4). % 1.80/2.10 tff(formula25, axiom, % 1.80/2.10 k!1225($i!val!5) = $i!val!5). % 1.80/2.10 tff(formula26, axiom, % 1.80/2.10 k!1225($i!val!3) = $i!val!3). % 1.80/2.10 tff(formula27, axiom, % 1.80/2.10 k!1225($i!val!11) = $i!val!11). % 1.80/2.10 tff(formula28, axiom, % 1.80/2.10 k!1225($i!val!21) = $i!val!21). % 1.80/2.10 tff(formula29, axiom, % 1.80/2.10 k!1225($i!val!20) = $i!val!20). % 1.80/2.10 tff(formula30, axiom, % 1.80/2.10 k!1225($i!val!22) = $i!val!22). % 1.80/2.10 tff(formula31, axiom, % 1.80/2.10 k!1225($i!val!18) = $i!val!18). % 1.80/2.10 tff(formula32, axiom, % 1.80/2.10 k!1225($i!val!17) = $i!val!17). % 1.80/2.10 tff(formula33, axiom, % 1.80/2.10 k!1225($i!val!24) = $i!val!24). % 1.80/2.10 tff(formula34, axiom, % 1.80/2.10 k!1225($i!val!23) = $i!val!23). % 1.80/2.10 tff(formula35, axiom, % 1.80/2.10 ![X0: $i] : ((~((($i!val!27 = X0)) | (($i!val!26 = X0)) | (($i!val!19 = X0)) | (($i!val!15 = X0)) | (($i!val!14 = X0)) | (($i!val!9 = X0)) | (($i!val!10 = X0)) | (($i!val!13 = X0)) | (($i!val!25 = X0)) | (($i!val!6 = X0)) | (($i!val!7 = X0)) | (($i!val!0 = X0)) | (($i!val!28 = X0)) | (($i!val!2 = X0)) | (($i!val!12 = X0)) | (($i!val!8 = X0)) | (($i!val!16 = X0)) | (($i!val!4 = X0)) | (($i!val!5 = X0)) | (($i!val!3 = X0)) | (($i!val!11 = X0)) | (($i!val!21 = X0)) | (($i!val!20 = X0)) | (($i!val!22 = X0)) | (($i!val!18 = X0)) | (($i!val!17 = X0)) | (($i!val!24 = X0)) | (($i!val!23 = X0)))) => (k!1225(X0) = $i!val!1))). % 1.80/2.10 tff(formula36, axiom, % 1.80/2.10 decreases($i!val!16) <=> $true). % 1.80/2.10 tff(formula37, axiom, % 1.80/2.10 decreases($i!val!13) <=> $true). % 1.80/2.10 tff(formula38, axiom, % 1.80/2.10 ![X0: $i] : ((~((($i!val!16 = X0)) | (($i!val!13 = X0)))) => (decreases(X0) <=> $false))). % 1.80/2.10 tff(formula39, axiom, % 1.80/2.10 ![X0: $i, X1: $i] : (appear(X0, X1) = ite_t((X1 = $i!val!5), $i!val!8, $i!val!4))). % 1.80/2.10 tff(formula40, axiom, % 1.80/2.10 difference($i!val!7, $i!val!6) = $i!val!13). % 1.80/2.10 tff(formula41, axiom, % 1.80/2.10 difference($i!val!14, $i!val!15) = $i!val!16). % 1.80/2.10 tff(formula42, axiom, % 1.80/2.10 difference($i!val!17, $i!val!18) = $i!val!19). % 1.80/2.10 tff(formula43, axiom, % 1.80/2.10 difference($i!val!20, $i!val!21) = $i!val!22). % 1.80/2.10 tff(formula44, axiom, % 1.80/2.10 difference($i!val!23, $i!val!24) = $i!val!25). % 1.80/2.10 tff(formula45, axiom, % 1.80/2.10 difference($i!val!27, $i!val!26) = $i!val!28). % 1.80/2.10 tff(formula46, axiom, % 1.80/2.10 ![X0: $i, X1: $i] : ((~((($i!val!7 = X0) & ($i!val!6 = X1)) | (($i!val!14 = X0) & ($i!val!15 = X1)) | (($i!val!17 = X0) & ($i!val!18 = X1)) | (($i!val!20 = X0) & ($i!val!21 = X1)) | (($i!val!23 = X0) & ($i!val!24 = X1)) | (($i!val!27 = X0) & ($i!val!26 = X1)))) => (difference(X0, X1) = $i!val!11))). % 1.80/2.10 tff(formula47, axiom, % 1.80/2.10 ![X0: $i, X1: $i] : (greater(X0, X1) <=> (((k!1225(X1) = $i!val!2) & (k!1225(X0) = $i!val!4)) | ((k!1225(X1) = $i!val!1) & (k!1225(X0) = $i!val!2)) | ((k!1225(X1) = $i!val!1) & (k!1225(X0) = $i!val!4)) | ((k!1225(X1) = $i!val!7) & (k!1225(X0) = $i!val!6)) | ((k!1225(X1) = $i!val!13) & (k!1225(X0) = $i!val!12))))). % 1.80/2.10 tff(formula48, axiom, % 1.80/2.10 ![X0: $i, X1: $i, X2: $i] : (selection_favors(X0, X1, X2) <=> ((~(X2 = $i!val!3)) & (X1 = $i!val!3) & (k!1225(X0) = $i!val!1)))). % 1.80/2.10 tff(formula49, axiom, % 1.80/2.10 ![X0: $i] : (environment(X0) <=> $true)). % 1.80/2.10 tff(formula50, axiom, % 1.80/2.10 ![X0: $i] : (start_time(X0) = $i!val!8)). % 1.80/2.10 tff(formula51, axiom, % 1.80/2.10 ![X0: $i, X1: $i] : (disbanding_rate(X0, X1) = ite_t(((X1 = $i!val!3) & (k!1225(X0) = $i!val!1)), $i!val!18, $i!val!17))). % 1.80/2.10 tff(formula52, axiom, % 1.80/2.10 ![X0: $i, X1: $i] : (founding_rate(X0, X1) = ite_t(((X1 = $i!val!3) & (k!1225(X0) = $i!val!2)), $i!val!24, ite_t(((X1 = $i!val!5) & (k!1225(X0) = $i!val!2)), $i!val!23, ite_t(((X1 = $i!val!3) & (k!1225(X0) = $i!val!4)), $i!val!21, ite_t(((X1 = $i!val!5) & (k!1225(X0) = $i!val!4)), $i!val!20, ite_t(((X1 = $i!val!3) & (k!1225(X0) = $i!val!1)), $i!val!15, $i!val!14))))))). % 1.80/2.11 tff(formula53, axiom, % 1.80/2.11 ![X0: $i, X1: $i] : (growth_rate(X0, X1) = ite_t(((~(X1 = $i!val!3)) & (k!1225(X0) = $i!val!4)), $i!val!27, ite_t(((X1 = $i!val!3) & (k!1225(X0) = $i!val!4)), $i!val!26, ite_t(((X1 = $i!val!3) & (k!1225(X0) = $i!val!2)), $i!val!10, ite_t(((~(X1 = $i!val!3)) & (k!1225(X0) = $i!val!2)), $i!val!9, ite_t(((~(X1 = $i!val!3)) & (k!1225(X0) = $i!val!1)), $i!val!7, $i!val!6))))))). % 1.80/2.11 tff(formula54, axiom, % 1.80/2.11 ![X0: $i, X1: $i] : (greater_or_equal(X0, X1) <=> (((k!1225(X1) = $i!val!3) & (k!1225(X0) = $i!val!3)) | ((k!1225(X1) = $i!val!14) & (k!1225(X0) = $i!val!14)) | ((k!1225(X1) = $i!val!20) & (k!1225(X0) = $i!val!20)) | ((k!1225(X1) = $i!val!19) & (k!1225(X0) = $i!val!19)) | ((k!1225(X1) = $i!val!2) & (k!1225(X0) = $i!val!4)) | ((k!1225(X1) = $i!val!1) & (k!1225(X0) = $i!val!2)) | ((k!1225(X1) = $i!val!1) & (k!1225(X0) = $i!val!4)) | ((k!1225(X1) = $i!val!16) & (k!1225(X0) = $i!val!16)) | ((k!1225(X1) = $i!val!2) & (k!1225(X0) = $i!val!2)) | ((k!1225(X1) = $i!val!9) & (k!1225(X0) = $i!val!9)) | ((k!1225(X1) = $i!val!7) & (k!1225(X0) = $i!val!7)) | ((k!1225(X1) = $i!val!13) & (k!1225(X0) = $i!val!13)) | ((k!1225(X1) = $i!val!21) & (k!1225(X0) = $i!val!21)) | ((k!1225(X1) = $i!val!5) & (k!1225(X0) = $i!val!5)) | ((k!1225(X1) = $i!val!0) & (k!1225(X0) = $i!val!0)) | ((k!1225(X1) = $i!val!11) & (k!1225(X0) = $i!val!11)) | ((k!1225(X1) = $i!val!1) & (k!1225(X0) = $i!val!1)) | ((k!1225(X1) = $i!val!8) & (k!1225(X0) = $i!val!8)) | ((k!1225(X1) = $i!val!28) & (k!1225(X0) = $i!val!28)) | ((k!1225(X1) = $i!val!6) & (k!1225(X0) = $i!val!6)) | ((k!1225(X1) = $i!val!10) & (k!1225(X0) = $i!val!10)) | ((k!1225(X1) = $i!val!12) & (k!1225(X0) = $i!val!12)) | ((k!1225(X1) = $i!val!26) & (k!1225(X0) = $i!val!26)) | ((k!1225(X1) = $i!val!4) & (k!1225(X0) = $i!val!4)) | ((k!1225(X1) = $i!val!22) & (k!1225(X0) = $i!val!22)) | ((k!1225(X1) = $i!val!18) & (k!1225(X0) = $i!val!18)) | ((k!1225(X1) = $i!val!27) & (k!1225(X0) = $i!val!27)) | ((k!1225(X1) = $i!val!17) & (k!1225(X0) = $i!val!17)) | ((k!1225(X1) = $i!val!25) & (k!1225(X0) = $i!val!25)) | ((k!1225(X1) = $i!val!24) & (k!1225(X0) = $i!val!24)) | ((k!1225(X1) = $i!val!15) & (k!1225(X0) = $i!val!15)) | ((k!1225(X1) = $i!val!23) & (k!1225(X0) = $i!val!23)) | ((k!1225(X1) = $i!val!7) & (k!1225(X0) = $i!val!6)) | ((k!1225(X1) = $i!val!13) & (k!1225(X0) = $i!val!12))))). % 1.80/2.11 % SZS output end Model % 1.80/2.11 % E exiting %------------------------------------------------------------------------------