%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWW196+1 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 08:05:57 PM UTC 2025 % Result : Theorem 3.81s 3.97s % Output : Proof 3.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWW196+1 : TPTP v9.2.0. Released v5.2.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n011.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 10:56:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.81/3.97 SZS status Theorem for theBenchmark.p % 3.81/3.97 SZS output start Proof for theBenchmark.p % 3.81/3.97 Clause #0 (by assumption #[]): Eq % 3.81/3.97 (Exists fun B_m => % 3.81/3.97 Eq v_na____ % 3.81/3.97 (c_Groups_Otimes__class_Otimes tc_Nat_Onat % 3.81/3.97 (c_Int_Onumber__class_Onumber__of tc_Nat_Onat (c_Int_OBit0 (c_Int_OBit1 c_Int_OPls))) B_m)) % 3.81/3.97 True % 3.81/3.97 Clause #1142 (by assumption #[]): Eq % 3.81/3.97 ((Exists fun B_m => % 3.81/3.97 Eq v_na____ % 3.81/3.97 (c_Groups_Otimes__class_Otimes tc_Nat_Onat % 3.81/3.97 (c_Int_Onumber__class_Onumber__of tc_Nat_Onat (c_Int_OBit0 (c_Int_OBit1 c_Int_OPls))) B_m)) → % 3.81/3.97 v_thesis____) % 3.81/3.97 True % 3.81/3.97 Clause #1143 (by assumption #[]): Eq (Not v_thesis____) True % 3.81/3.97 Clause #1144 (by clausification #[1143]): Eq v_thesis____ False % 3.81/3.97 Clause #1145 (by clausification #[1142]): Or % 3.81/3.97 (Eq % 3.81/3.97 (Exists fun B_m => % 3.81/3.97 Eq v_na____ % 3.81/3.97 (c_Groups_Otimes__class_Otimes tc_Nat_Onat % 3.81/3.97 (c_Int_Onumber__class_Onumber__of tc_Nat_Onat (c_Int_OBit0 (c_Int_OBit1 c_Int_OPls))) B_m)) % 3.81/3.97 False) % 3.81/3.97 (Eq v_thesis____ True) % 3.81/3.97 Clause #1146 (by clausification #[1145]): ∀ (a : Iota), % 3.81/3.97 Or (Eq v_thesis____ True) % 3.81/3.97 (Eq % 3.81/3.97 (Eq v_na____ % 3.81/3.97 (c_Groups_Otimes__class_Otimes tc_Nat_Onat % 3.81/3.97 (c_Int_Onumber__class_Onumber__of tc_Nat_Onat (c_Int_OBit0 (c_Int_OBit1 c_Int_OPls))) a)) % 3.81/3.97 False) % 3.81/3.97 Clause #1147 (by clausification #[1146]): ∀ (a : Iota), % 3.81/3.97 Or (Eq v_thesis____ True) % 3.81/3.97 (Ne v_na____ % 3.81/3.97 (c_Groups_Otimes__class_Otimes tc_Nat_Onat % 3.81/3.97 (c_Int_Onumber__class_Onumber__of tc_Nat_Onat (c_Int_OBit0 (c_Int_OBit1 c_Int_OPls))) a)) % 3.81/3.97 Clause #1148 (by forward demodulation #[1147, 1144]): ∀ (a : Iota), % 3.81/3.97 Or (Eq False True) % 3.81/3.97 (Ne v_na____ % 3.81/3.97 (c_Groups_Otimes__class_Otimes tc_Nat_Onat % 3.81/3.97 (c_Int_Onumber__class_Onumber__of tc_Nat_Onat (c_Int_OBit0 (c_Int_OBit1 c_Int_OPls))) a)) % 3.81/3.97 Clause #1149 (by clausification #[1148]): ∀ (a : Iota), % 3.81/3.97 Ne v_na____ % 3.81/3.97 (c_Groups_Otimes__class_Otimes tc_Nat_Onat % 3.81/3.97 (c_Int_Onumber__class_Onumber__of tc_Nat_Onat (c_Int_OBit0 (c_Int_OBit1 c_Int_OPls))) a) % 3.81/3.97 Clause #1150 (by clausification #[0]): ∀ (a : Iota), % 3.81/3.97 Eq % 3.81/3.97 (Eq v_na____ % 3.81/3.97 (c_Groups_Otimes__class_Otimes tc_Nat_Onat % 3.81/3.97 (c_Int_Onumber__class_Onumber__of tc_Nat_Onat (c_Int_OBit0 (c_Int_OBit1 c_Int_OPls))) (skS.0 0 a))) % 3.81/3.97 True % 3.81/3.97 Clause #1151 (by clausification #[1150]): ∀ (a : Iota), % 3.81/3.97 Eq v_na____ % 3.81/3.97 (c_Groups_Otimes__class_Otimes tc_Nat_Onat % 3.81/3.97 (c_Int_Onumber__class_Onumber__of tc_Nat_Onat (c_Int_OBit0 (c_Int_OBit1 c_Int_OPls))) (skS.0 0 a)) % 3.81/3.97 Clause #1152 (by forward contextual literal cutting #[1151, 1149]): False % 3.81/3.97 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------