%------------------------------------------------------------------------------ % File : Metis---2.4 % Problem : MGT038-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : metis --show proof --show saturation %s % Computer : n006.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 06:16:07 AM UTC 2026 % Result : Satisfiable 0.12s 0.36s % Output : Saturation 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT038-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : metis --show proof --show saturation %s % 0.07/0.34 % Computer : n006.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Mon Sep 7 12:49:16 UTC 2026 % 0.07/0.34 % CPUTime : % 0.07/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % 0.12/0.36 % SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.36 % 0.12/0.36 SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.36 |- finite_set first_movers % 0.12/0.36 |- ~environment $A \/ ~stable $A \/ % 0.12/0.36 in_environment $A (appear first_movers $A) % 0.12/0.36 |- ~contracts_from $B $A \/ ~finite_set $A \/ greater (sk1 $B $A) $B % 0.12/0.36 |- ~environment $A \/ ~greater $C $B \/ ~in_environment $A $B \/ % 0.12/0.36 ~stable $A \/ in_environment $A $C % 0.12/0.36 |- ~greater $A $B \/ ~greater $B $C \/ greater $A $C % 0.12/0.36 |- ~environment $A \/ ~stable $A \/ % 0.12/0.36 greater (sk2 $A) (appear efficient_producers $A) % 0.12/0.36 |- ~environment $A \/ ~stable $A \/ contracts_from (sk2 $A) first_movers % 0.12/0.36 |- ~environment $A \/ % 0.12/0.36 greater (appear efficient_producers e) (appear first_movers $A) % 0.12/0.36 |- environment sk3 % 0.12/0.36 |- stable sk3 % 0.12/0.36 |- greater (appear efficient_producers e) (appear first_movers sk3) % 0.12/0.36 |- contracts_from (sk2 sk3) first_movers % 0.12/0.36 |- in_environment sk3 (appear first_movers sk3) % 0.12/0.36 |- greater (sk2 sk3) (appear efficient_producers sk3) % 0.12/0.36 |- greater (sk1 (sk2 sk3) first_movers) (sk2 sk3) % 0.12/0.36 |- cardinality_at_time s t2 = zero % 0.12/0.36 |- ~greater $_9 (appear efficient_producers e) \/ % 0.12/0.36 greater $_9 (appear first_movers sk3) % 0.12/0.36 |- ~greater $_9 (sk1 (sk2 sk3) first_movers) \/ greater $_9 (sk2 sk3) % 0.12/0.36 |- ~greater $_9 (sk2 sk3) \/ greater $_9 (appear efficient_producers sk3) % 0.12/0.36 |- ~greater (appear first_movers sk3) $_11 \/ % 0.12/0.36 greater (appear efficient_producers e) $_11 % 0.12/0.36 |- ~greater (sk2 sk3) $_11 \/ greater (sk1 (sk2 sk3) first_movers) $_11 % 0.12/0.36 |- ~greater (appear efficient_producers sk3) $_11 \/ greater (sk2 sk3) $_11 % 0.12/0.36 |- greater (sk1 (sk2 sk3) first_movers) (appear efficient_producers sk3) % 0.12/0.36 |- ~greater $A (sk1 (sk2 sk3) first_movers) \/ % 0.12/0.36 greater $A (appear efficient_producers sk3) % 0.12/0.36 |- ~greater (appear efficient_producers sk3) $C \/ % 0.12/0.36 greater (sk1 (sk2 sk3) first_movers) $C % 0.12/0.36 |- ~environment $_20 \/ ~in_environment $_20 (appear first_movers sk3) \/ % 0.12/0.36 ~stable $_20 \/ in_environment $_20 (appear efficient_producers e) % 0.12/0.36 |- ~environment $_20 \/ % 0.12/0.36 ~in_environment $_20 (appear efficient_producers sk3) \/ ~stable $_20 \/ % 0.12/0.36 in_environment $_20 (sk1 (sk2 sk3) first_movers) % 0.12/0.36 |- ~environment $_20 \/ ~in_environment $_20 (sk2 sk3) \/ ~stable $_20 \/ % 0.12/0.36 in_environment $_20 (sk1 (sk2 sk3) first_movers) % 0.12/0.36 |- ~environment $_20 \/ % 0.12/0.36 ~in_environment $_20 (appear efficient_producers sk3) \/ ~stable $_20 \/ % 0.12/0.36 in_environment $_20 (sk2 sk3) % 0.12/0.36 |- ~greater $_22 (appear first_movers sk3) \/ in_environment sk3 $_22 % 0.12/0.36 |- in_environment sk3 (appear efficient_producers e) % 0.12/0.36 |- ~greater $C (appear efficient_producers e) \/ in_environment sk3 $C % 0.12/0.36 |- ~(cardinality_at_time first_movers to = zero) % 0.12/0.36 SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.36 %------------------------------------------------------------------------------