%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR031+2 : TPTP v9.2.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 07:46:05 PM UTC 2025 % Result : Theorem 109.51s 109.73s % Output : Proof 109.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CSR031+2 : TPTP v9.2.0. Released v3.4.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n001.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 20:25:53 EDT 2025 % 0.13/0.34 % CPUTime : % 109.51/109.73 SZS status Theorem for theBenchmark.p % 109.51/109.73 SZS output start Proof for theBenchmark.p % 109.51/109.73 Clause #288 (by assumption #[]): Eq (∀ (OBJ : Iota), Not (And (collection OBJ) (individual OBJ))) True % 109.51/109.73 Clause #446 (by assumption #[]): Eq (individual c_tptptptpcol_16_8398) True % 109.51/109.73 Clause #1093 (by assumption #[]): Eq (∀ (INS ARG2 : Iota), disjointwith INS ARG2 → collection INS) True % 109.51/109.73 Clause #1103 (by assumption #[]): Eq (Not (Not (disjointwith c_tptptptpcol_16_8398 c_tptpcol_16_18488))) True % 109.51/109.73 Clause #1985 (by clausification #[288]): ∀ (a : Iota), Eq (Not (And (collection a) (individual a))) True % 109.51/109.73 Clause #1986 (by clausification #[1985]): ∀ (a : Iota), Eq (And (collection a) (individual a)) False % 109.51/109.73 Clause #1987 (by clausification #[1986]): ∀ (a : Iota), Or (Eq (collection a) False) (Eq (individual a) False) % 109.51/109.73 Clause #6432 (by clausification #[1093]): ∀ (a : Iota), Eq (∀ (ARG2 : Iota), disjointwith a ARG2 → collection a) True % 109.51/109.73 Clause #6433 (by clausification #[6432]): ∀ (a a_1 : Iota), Eq (disjointwith a a_1 → collection a) True % 109.51/109.73 Clause #6434 (by clausification #[6433]): ∀ (a a_1 : Iota), Or (Eq (disjointwith a a_1) False) (Eq (collection a) True) % 109.51/109.73 Clause #9147 (by clausification #[1103]): Eq (Not (disjointwith c_tptptptpcol_16_8398 c_tptpcol_16_18488)) False % 109.51/109.73 Clause #9148 (by clausification #[9147]): Eq (disjointwith c_tptptptpcol_16_8398 c_tptpcol_16_18488) True % 109.51/109.73 Clause #9152 (by superposition #[9148, 6434]): Or (Eq True False) (Eq (collection c_tptptptpcol_16_8398) True) % 109.51/109.73 Clause #9156 (by clausification #[9152]): Eq (collection c_tptptptpcol_16_8398) True % 109.51/109.73 Clause #9157 (by superposition #[9156, 1987]): Or (Eq True False) (Eq (individual c_tptptptpcol_16_8398) False) % 109.51/109.73 Clause #9160 (by clausification #[9157]): Eq (individual c_tptptptpcol_16_8398) False % 109.51/109.73 Clause #9161 (by superposition #[9160, 446]): Eq False True % 109.51/109.73 Clause #9162 (by clausification #[9161]): False % 109.51/109.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------