%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL952^12 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : duper %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 : Mon Sep 7 11:36:55 AM UTC 2026 % Result : Theorem 17.36s 17.67s % Output : Proof 17.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL952^12 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.04 % Command : duper %s % 0.11/0.36 % Computer : n006.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 12:31:16 UTC 2026 % 0.11/0.36 % CPUTime : % 17.36/17.67 SZS status Theorem for theBenchmark.p % 17.36/17.67 SZS output start Proof for theBenchmark.p % 17.36/17.67 Clause #26 (by assumption #[]): Eq % 17.36/17.67 (Not % 17.36/17.67 (mlocal % 17.36/17.67 (mbox % 17.36/17.67 (mforall_di fun A => % 17.36/17.67 mbox % 17.36/17.67 (mforall_di fun B => % 17.36/17.67 mbox (mimplies (mbox (qmltpeq (set_intersection2 A (singleton B)) (singleton B))) (mbox (in B A)))))))) % 17.36/17.67 True % 17.36/17.67 Clause #27 (by assumption #[]): Eq % 17.36/17.67 (mlocal % 17.36/17.67 (mbox % 17.36/17.67 (mforall_di fun A => % 17.36/17.67 mbox % 17.36/17.67 (mforall_di fun B => % 17.36/17.67 mbox (mimplies (mbox (qmltpeq (set_intersection2 A (singleton B)) (singleton B))) (mbox (in B A))))))) % 17.36/17.67 True % 17.36/17.67 Clause #896 (by clausification #[26]): Eq % 17.36/17.67 (mlocal % 17.36/17.67 (mbox % 17.36/17.67 (mforall_di fun A => % 17.36/17.67 mbox % 17.36/17.67 (mforall_di fun B => % 17.36/17.67 mbox (mimplies (mbox (qmltpeq (set_intersection2 A (singleton B)) (singleton B))) (mbox (in B A))))))) % 17.36/17.67 False % 17.36/17.67 Clause #946 (by superposition #[27, 896]): Eq False True % 17.36/17.67 Clause #954 (by clausification #[946]): False % 17.36/17.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------