%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET925^7 : TPTP v9.2.0. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 08:00:42 PM UTC 2025 % Result : Theorem 68.73s 68.89s % Output : Proof 68.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SET925^7 : TPTP v9.2.0. Released v5.5.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n002.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 14:10:08 EDT 2025 % 0.13/0.34 % CPUTime : % 68.73/68.89 SZS status Theorem for theBenchmark.p % 68.73/68.89 SZS output start Proof for theBenchmark.p % 68.73/68.89 Clause #52 (by assumption #[]): Eq % 68.73/68.89 (mvalid % 68.73/68.89 (mbox_s4 % 68.73/68.89 (mforall_ind fun A => % 68.73/68.89 mbox_s4 % 68.73/68.89 (mforall_ind fun B => % 68.73/68.89 mand (mbox_s4 (mimplies (mbox_s4 (qmltpeq (set_difference (singleton A) B) empty_set)) (mbox_s4 (in A B)))) % 68.73/68.89 (mbox_s4 (mimplies (mbox_s4 (in A B)) (mbox_s4 (qmltpeq (set_difference (singleton A) B) empty_set)))))))) % 68.73/68.89 True % 68.73/68.89 Clause #53 (by assumption #[]): Eq % 68.73/68.89 (Not % 68.73/68.89 (mvalid % 68.73/68.89 (mbox_s4 % 68.73/68.89 (mforall_ind fun A => % 68.73/68.89 mbox_s4 % 68.73/68.89 (mforall_ind fun B => % 68.73/68.89 mand % 68.73/68.89 (mbox_s4 (mimplies (mbox_s4 (qmltpeq (set_difference (singleton A) B) empty_set)) (mbox_s4 (in A B)))) % 68.73/68.89 (mbox_s4 % 68.73/68.89 (mimplies (mbox_s4 (in A B)) (mbox_s4 (qmltpeq (set_difference (singleton A) B) empty_set))))))))) % 68.73/68.89 True % 68.73/68.89 Clause #1079 (by clausification #[53]): Eq % 68.73/68.89 (mvalid % 68.73/68.89 (mbox_s4 % 68.73/68.89 (mforall_ind fun A => % 68.73/68.89 mbox_s4 % 68.73/68.89 (mforall_ind fun B => % 68.73/68.89 mand (mbox_s4 (mimplies (mbox_s4 (qmltpeq (set_difference (singleton A) B) empty_set)) (mbox_s4 (in A B)))) % 68.73/68.89 (mbox_s4 (mimplies (mbox_s4 (in A B)) (mbox_s4 (qmltpeq (set_difference (singleton A) B) empty_set)))))))) % 68.73/68.89 False % 68.73/68.89 Clause #1080 (by superposition #[1079, 52]): Eq False True % 68.73/68.89 Clause #1082 (by clausification #[1080]): False % 68.73/68.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------