%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : MGT019-2 : TPTP v9.3.0. Released v2.4.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n015.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 06:23:58 AM UTC 2026 % Result : Satisfiable 0.12s 0.40s % Output : Model 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT019-2 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.05/0.32 % Computer : n015.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 12:03:34 UTC 2026 % 0.05/0.33 % CPUTime : % 0.12/0.40 % SZS status Satisfiable % 0.12/0.40 % SZS output start Model % 0.12/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.12/0.40 tptp_fun__i_val_1: $i)). % 0.12/0.40 tff(first_movers_type, type, ( % 0.12/0.40 first_movers: $i)). % 0.12/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.12/0.40 tptp_fun__i_val_2: $i)). % 0.12/0.40 tff(efficient_producers_type, type, ( % 0.12/0.40 efficient_producers: $i)). % 0.12/0.40 tff(tptp_fun__i_val_6_type, type, ( % 0.12/0.40 tptp_fun__i_val_6: $i)). % 0.12/0.40 tff(sk4_type, type, ( % 0.12/0.40 sk4: $i)). % 0.12/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.12/0.40 tptp_fun__i_val_0: $i)). % 0.12/0.40 tff(sk1_type, type, ( % 0.12/0.40 sk1: $i)). % 0.12/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.12/0.40 tptp_fun__i_val_3: $i)). % 0.12/0.40 tff(sk2_type, type, ( % 0.12/0.40 sk2: $i)). % 0.12/0.40 tff(tptp_fun__i_val_7_type, type, ( % 0.12/0.40 tptp_fun__i_val_7: $i)). % 0.12/0.40 tff(in_environment_type, type, ( % 0.12/0.40 in_environment: ( $i * $i ) > $o)). % 0.12/0.40 tff(subpopulations_type, type, ( % 0.12/0.40 subpopulations: ( $i * $i * $i * $i ) > $o)). % 0.12/0.40 tff(tptp_fun__i_val_4_type, type, ( % 0.12/0.40 tptp_fun__i_val_4: $i)). % 0.12/0.40 tff(tptp_fun__i_val_5_type, type, ( % 0.12/0.40 tptp_fun__i_val_5: $i)). % 0.12/0.40 tff(tptp_fun__i_val_13_type, type, ( % 0.12/0.40 tptp_fun__i_val_13: $i)). % 0.12/0.40 tff(tptp_fun__i_val_9_type, type, ( % 0.12/0.40 tptp_fun__i_val_9: $i)). % 0.12/0.40 tff(tptp_fun__i_val_14_type, type, ( % 0.12/0.40 tptp_fun__i_val_14: $i)). % 0.12/0.40 tff(disbanding_rate_type, type, ( % 0.12/0.40 disbanding_rate: ( $i * $i ) > $i)). % 0.12/0.40 tff(tptp_fun__i_val_8_type, type, ( % 0.12/0.40 tptp_fun__i_val_8: $i)). % 0.12/0.40 tff(sk3_type, type, ( % 0.12/0.40 sk3: $i > $i)). % 0.12/0.40 tff(tptp_fun__i_val_10_type, type, ( % 0.12/0.40 tptp_fun__i_val_10: $i)). % 0.12/0.40 tff(tptp_fun__i_val_12_type, type, ( % 0.12/0.40 tptp_fun__i_val_12: $i)). % 0.12/0.40 tff(tptp_fun__i_val_11_type, type, ( % 0.12/0.40 tptp_fun__i_val_11: $i)). % 0.12/0.40 tff(greater_type, type, ( % 0.12/0.40 greater: ( $i * $i ) > $o)). % 0.12/0.40 tff(sk5_type, type, ( % 0.12/0.40 sk5: $i > $i)). % 0.12/0.40 tff(founding_rate_type, type, ( % 0.12/0.40 founding_rate: ( $i * $i ) > $i)). % 0.12/0.40 tff(stable_type, type, ( % 0.12/0.40 stable: $i > $o)). % 0.12/0.40 tff(environment_type, type, ( % 0.12/0.40 environment: $i > $o)). % 0.12/0.40 tff(growth_rate_type, type, ( % 0.12/0.40 growth_rate: ( $i * $i ) > $i)). % 0.12/0.40 tff(greater_or_equal_type, type, ( % 0.12/0.40 greater_or_equal: ( $i * $i ) > $o)). % 0.12/0.40 tff(formula1, axiom, % 0.12/0.40 first_movers = $i!val!1). % 0.12/0.40 tff(formula2, axiom, % 0.12/0.40 efficient_producers = $i!val!2). % 0.12/0.40 tff(formula3, axiom, % 0.12/0.40 sk4 = $i!val!6). % 0.12/0.40 tff(formula4, axiom, % 0.12/0.40 sk1 = $i!val!0). % 0.12/0.40 tff(formula5, axiom, % 0.12/0.40 sk2 = $i!val!3). % 0.12/0.40 tff(formula6, axiom, % 0.12/0.40 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> ((~(X1 = $i!val!0)) & (X0 = $i!val!7)))). % 0.12/0.40 tff(formula7, axiom, % 0.12/0.40 ![X0: $i, X1: $i, X2: $i, X3: $i] : (subpopulations(X0, X1, X2, X3) <=> $true)). % 0.12/0.40 tff(formula8, axiom, % 0.12/0.40 ![X0: $i, X1: $i] : (disbanding_rate(X0, X1) = ite_t(((X1 = $i!val!2) & (X0 = $i!val!7) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!13))), $i!val!14, ite_t(((X1 = $i!val!1) & (X0 = $i!val!7) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!13))), $i!val!13, ite_t(((X1 = $i!val!2) & (X0 = $i!val!3) & (~(X0 = $i!val!13))), $i!val!5, $i!val!4))))). % 0.12/0.40 tff(formula9, axiom, % 0.12/0.40 sk3($i!val!0) = $i!val!8). % 0.12/0.40 tff(formula10, axiom, % 0.12/0.40 ![X0: $i] : ((~(($i!val!0 = X0))) => (sk3(X0) = $i!val!7))). % 0.12/0.40 tff(formula11, axiom, % 0.12/0.40 ![X0: $i, X1: $i] : (greater(X0, X1) <=> ((X1 = $i!val!11) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!13)) & (X0 = $i!val!12) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!7))))). % 0.12/0.40 tff(formula12, axiom, % 0.12/0.40 ![X0: $i] : (sk5(X0) = $i!val!7)). % 0.12/0.40 tff(formula13, axiom, % 0.12/0.40 ![X0: $i, X1: $i] : (founding_rate(X0, X1) = ite_t(((X1 = $i!val!1) & (X0 = $i!val!7) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!13))), $i!val!12, $i!val!11))). % 0.12/0.40 tff(formula14, axiom, % 0.12/0.40 ![X0: $i] : (stable(X0) <=> (~(X0 = $i!val!0)))). % 0.12/0.40 tff(formula15, axiom, % 0.12/0.40 ![X0: $i] : (environment(X0) <=> $true)). % 0.12/0.40 tff(formula16, axiom, % 0.12/0.40 ![X0: $i, X1: $i] : (growth_rate(X0, X1) = ite_t(((X1 = $i!val!1) & (X0 = $i!val!7) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!13))), $i!val!10, $i!val!9))). % 0.12/0.40 tff(formula17, axiom, % 0.12/0.40 ![X0: $i, X1: $i] : (greater_or_equal(X0, X1) <=> (((X1 = $i!val!7) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!13)) & (X0 = $i!val!7)) | ((X1 = $i!val!11) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!13)) & (X0 = $i!val!12) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!7)))))). % 0.12/0.40 % SZS output end Model % 0.12/0.40 % E exiting %------------------------------------------------------------------------------