%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : MGT038+1 : TPTP v9.3.0. Bugfixed v9.3.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n019.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 : CounterSatisfiable 0.09s 0.45s % Output : Model 0.09s % 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. Bugfixed v9.3.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.09/0.37 % Computer : n019.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Mon Sep 7 12:49:54 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.45 % SZS status CounterSatisfiable % 0.09/0.45 % SZS output start Model % 0.09/0.45 tff(tptp_fun__i_val_7_type, type, ( % 0.09/0.45 tptp_fun__i_val_7: $i)). % 0.09/0.45 tff(zero_type, type, ( % 0.09/0.45 zero: $i)). % 0.09/0.45 tff(tptp_fun__i_val_0_type, type, ( % 0.09/0.45 tptp_fun__i_val_0: $i)). % 0.09/0.45 tff(first_movers_type, type, ( % 0.09/0.45 first_movers: $i)). % 0.09/0.45 tff(tptp_fun__i_val_2_type, type, ( % 0.09/0.45 tptp_fun__i_val_2: $i)). % 0.09/0.45 tff(efficient_producers_type, type, ( % 0.09/0.45 efficient_producers: $i)). % 0.09/0.45 tff(tptp_fun__i_val_9_type, type, ( % 0.09/0.45 tptp_fun__i_val_9: $i)). % 0.09/0.45 tff(s_type, type, ( % 0.09/0.45 s: $i)). % 0.09/0.45 tff(in_environment_type, type, ( % 0.09/0.45 in_environment: ( $i * $i ) > $o)). % 0.09/0.45 tff(tptp_fun__i_val_6_type, type, ( % 0.09/0.45 tptp_fun__i_val_6: $i)). % 0.09/0.45 tff(tptp_fun__i_val_4_type, type, ( % 0.09/0.45 tptp_fun__i_val_4: $i)). % 0.09/0.45 tff(tptp_fun__i_val_3_type, type, ( % 0.09/0.45 tptp_fun__i_val_3: $i)). % 0.09/0.45 tff(tptp_fun__i_val_8_type, type, ( % 0.09/0.45 tptp_fun__i_val_8: $i)). % 0.09/0.45 tff(tptp_fun__i_val_10_type, type, ( % 0.09/0.45 tptp_fun__i_val_10: $i)). % 0.09/0.45 tff(tptp_fun__i_val_11_type, type, ( % 0.09/0.45 tptp_fun__i_val_11: $i)). % 0.09/0.45 tff(cardinality_at_time_type, type, ( % 0.09/0.45 cardinality_at_time: ( $i * $i ) > $i)). % 0.09/0.45 tff(finite_set_type, type, ( % 0.09/0.45 finite_set: $i > $o)). % 0.09/0.45 tff(appear_type, type, ( % 0.09/0.45 appear: ( $i * $i ) > $i)). % 0.09/0.45 tff(greater_type, type, ( % 0.09/0.45 greater: ( $i * $i ) > $o)). % 0.09/0.45 tff(contracts_from_type, type, ( % 0.09/0.45 contracts_from: ( $i * $i ) > $o)). % 0.09/0.45 tff(stable_type, type, ( % 0.09/0.45 stable: $i > $o)). % 0.09/0.45 tff(environment_type, type, ( % 0.09/0.45 environment: $i > $o)). % 0.09/0.45 tff(formula1, axiom, % 0.09/0.45 zero = $i!val!7). % 0.09/0.45 tff(formula2, axiom, % 0.09/0.45 first_movers = $i!val!0). % 0.09/0.45 tff(formula3, axiom, % 0.09/0.45 efficient_producers = $i!val!2). % 0.09/0.45 tff(formula4, axiom, % 0.09/0.45 s = $i!val!9). % 0.09/0.45 tff(formula5, axiom, % 0.09/0.45 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> $true)). % 0.09/0.45 tff(formula6, axiom, % 0.09/0.45 ![X0: $i, X1: $i] : (cardinality_at_time(X0, X1) = ite_t(((X1 = $i!val!0) & (X0 = $i!val!8) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4))), $i!val!11, ite_t(((X1 = $i!val!0) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4))), $i!val!10, ite_t(((X1 = $i!val!9) & (X0 = $i!val!8) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4))), $i!val!7, $i!val!6))))). % 0.09/0.45 tff(formula7, axiom, % 0.09/0.45 ![X0: $i] : (finite_set(X0) <=> $true)). % 0.09/0.45 tff(formula8, axiom, % 0.09/0.45 ![X0: $i, X1: $i] : (appear(X0, X1) = ite_t((X1 = $i!val!2), $i!val!4, $i!val!3))). % 0.09/0.45 tff(formula9, axiom, % 0.09/0.45 ![X0: $i, X1: $i] : (greater(X0, X1) <=> ((~((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (X0 = $i!val!4))) & (~((X1 = $i!val!4) & (X0 = $i!val!8) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)))) & (~((~(X1 = $i!val!8)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (X0 = $i!val!8) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (X0 = $i!val!8) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (X0 = $i!val!3) & (~(X0 = $i!val!4))))))). % 0.09/0.45 tff(formula10, axiom, % 0.09/0.45 ![X0: $i, X1: $i] : (contracts_from(X0, X1) <=> $true)). % 0.09/0.45 tff(formula11, axiom, % 0.09/0.45 ![X0: $i] : (stable(X0) <=> $true)). % 0.09/0.45 tff(formula12, axiom, % 0.09/0.45 ![X0: $i] : (environment(X0) <=> $true)). % 0.09/0.45 % SZS output end Model % 0.09/0.45 % E exiting %------------------------------------------------------------------------------