%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : MGT038-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n029.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 06:24:04 AM UTC 2026 % Result : Satisfiable 0.12s 0.42s % Output : Model 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT038-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.07/0.35 % Computer : n029.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Mon Sep 7 12:51:43 UTC 2026 % 0.07/0.36 % CPUTime : % 0.12/0.42 % SZS status Satisfiable % 0.12/0.42 % SZS output start Model % 0.12/0.42 tff(tptp_fun__i_val_1_type, type, ( % 0.12/0.42 tptp_fun__i_val_1: $i)). % 0.12/0.42 tff(sk3_type, type, ( % 0.12/0.42 sk3: $i)). % 0.12/0.42 tff(tptp_fun__i_val_9_type, type, ( % 0.12/0.42 tptp_fun__i_val_9: $i)). % 0.12/0.42 tff(s_type, type, ( % 0.12/0.42 s: $i)). % 0.12/0.42 tff(tptp_fun__i_val_6_type, type, ( % 0.12/0.42 tptp_fun__i_val_6: $i)). % 0.12/0.42 tff(e_type, type, ( % 0.12/0.42 e: $i)). % 0.12/0.42 tff(tptp_fun__i_val_10_type, type, ( % 0.12/0.42 tptp_fun__i_val_10: $i)). % 0.12/0.42 tff(t2_type, type, ( % 0.12/0.42 t2: $i)). % 0.12/0.42 tff(tptp_fun__i_val_12_type, type, ( % 0.12/0.42 tptp_fun__i_val_12: $i)). % 0.12/0.42 tff(to_type, type, ( % 0.12/0.42 to: $i)). % 0.12/0.42 tff(tptp_fun__i_val_2_type, type, ( % 0.12/0.42 tptp_fun__i_val_2: $i)). % 0.12/0.42 tff(efficient_producers_type, type, ( % 0.12/0.42 efficient_producers: $i)). % 0.12/0.42 tff(tptp_fun__i_val_0_type, type, ( % 0.12/0.42 tptp_fun__i_val_0: $i)). % 0.12/0.42 tff(first_movers_type, type, ( % 0.12/0.42 first_movers: $i)). % 0.12/0.42 tff(tptp_fun__i_val_11_type, type, ( % 0.12/0.42 tptp_fun__i_val_11: $i)). % 0.12/0.42 tff(zero_type, type, ( % 0.12/0.42 zero: $i)). % 0.12/0.42 tff(in_environment_type, type, ( % 0.12/0.42 in_environment: ( $i * $i ) > $o)). % 0.12/0.42 tff(greater_type, type, ( % 0.12/0.42 greater: ( $i * $i ) > $o)). % 0.12/0.42 tff(contracts_from_type, type, ( % 0.12/0.42 contracts_from: ( $i * $i ) > $o)). % 0.12/0.42 tff(tptp_fun__i_val_13_type, type, ( % 0.12/0.42 tptp_fun__i_val_13: $i)). % 0.12/0.42 tff(cardinality_at_time_type, type, ( % 0.12/0.42 cardinality_at_time: ( $i * $i ) > $i)). % 0.12/0.42 tff(stable_type, type, ( % 0.12/0.42 stable: $i > $o)). % 0.12/0.42 tff(tptp_fun__i_val_4_type, type, ( % 0.12/0.42 tptp_fun__i_val_4: $i)). % 0.12/0.42 tff(sk2_type, type, ( % 0.12/0.42 sk2: $i > $i)). % 0.12/0.42 tff(environment_type, type, ( % 0.12/0.42 environment: $i > $o)). % 0.12/0.42 tff(tptp_fun__i_val_8_type, type, ( % 0.12/0.42 tptp_fun__i_val_8: $i)). % 0.12/0.42 tff(sk1_type, type, ( % 0.12/0.42 sk1: ( $i * $i ) > $i)). % 0.12/0.42 tff(finite_set_type, type, ( % 0.12/0.42 finite_set: $i > $o)). % 0.12/0.42 tff(tptp_fun__i_val_7_type, type, ( % 0.12/0.42 tptp_fun__i_val_7: $i)). % 0.12/0.42 tff(appear_type, type, ( % 0.12/0.42 appear: ( $i * $i ) > $i)). % 0.12/0.42 tff(tptp_fun__i_val_3_type, type, ( % 0.12/0.42 tptp_fun__i_val_3: $i)). % 0.12/0.42 tff(tptp_fun__i_val_5_type, type, ( % 0.12/0.42 tptp_fun__i_val_5: $i)). % 0.12/0.42 tff(formula1, axiom, % 0.12/0.42 sk3 = $i!val!1). % 0.12/0.42 tff(formula2, axiom, % 0.12/0.42 s = $i!val!9). % 0.12/0.42 tff(formula3, axiom, % 0.12/0.42 e = $i!val!6). % 0.12/0.42 tff(formula4, axiom, % 0.12/0.42 t2 = $i!val!10). % 0.12/0.42 tff(formula5, axiom, % 0.12/0.42 to = $i!val!12). % 0.12/0.42 tff(formula6, axiom, % 0.12/0.42 efficient_producers = $i!val!2). % 0.12/0.42 tff(formula7, axiom, % 0.12/0.42 first_movers = $i!val!0). % 0.12/0.42 tff(formula8, axiom, % 0.12/0.42 zero = $i!val!11). % 0.12/0.42 tff(formula9, axiom, % 0.12/0.42 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> $true)). % 0.12/0.42 tff(formula10, axiom, % 0.12/0.42 ![X0: $i, X1: $i] : (greater(X0, X1) <=> $true)). % 0.12/0.42 tff(formula11, axiom, % 0.12/0.42 ![X0: $i, X1: $i] : (contracts_from(X0, X1) <=> $true)). % 0.12/0.42 tff(formula12, axiom, % 0.12/0.42 cardinality_at_time($i!val!0, $i!val!12) = $i!val!13). % 0.12/0.42 tff(formula13, axiom, % 0.12/0.42 ![X0: $i, X1: $i] : ((~(($i!val!0 = X0) & ($i!val!12 = X1))) => (cardinality_at_time(X0, X1) = $i!val!11))). % 0.12/0.42 tff(formula14, axiom, % 0.12/0.42 ![X0: $i] : (stable(X0) <=> (~(X0 = $i!val!6)))). % 0.12/0.42 tff(formula15, axiom, % 0.12/0.42 ![X0: $i] : (sk2(X0) = $i!val!4)). % 0.12/0.42 tff(formula16, axiom, % 0.12/0.42 ![X0: $i] : (environment(X0) <=> $true)). % 0.12/0.42 tff(formula17, axiom, % 0.12/0.42 ![X0: $i, X1: $i] : (sk1(X0, X1) = $i!val!8)). % 0.12/0.42 tff(formula18, axiom, % 0.12/0.42 ![X0: $i] : (finite_set(X0) <=> $true)). % 0.12/0.42 tff(formula19, axiom, % 0.12/0.42 appear($i!val!2, $i!val!6) = $i!val!7). % 0.12/0.42 tff(formula20, axiom, % 0.12/0.42 ![X0: $i, X1: $i] : ((~(($i!val!2 = X0) & ($i!val!6 = X1))) => (appear(X0, X1) = ite_t(((X1 = $i!val!2) & (~(X0 = $i!val!6))), $i!val!5, $i!val!3)))). % 0.12/0.42 % SZS output end Model % 0.12/0.42 % E exiting %------------------------------------------------------------------------------