%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM977_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 07:57:41 PM UTC 2025 % Result : Theorem 13.18s 13.37s % Output : Proof 13.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : NUM977_5 : TPTP v9.2.0. Released v6.0.0. % 0.15/0.15 % Command : duper %s % 0.16/0.37 % Computer : n012.cluster.edu % 0.16/0.37 % Model : x86_64 x86_64 % 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.37 % Memory : 8042.1875MB % 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.37 % CPULimit : 300 % 0.16/0.37 % WCLimit : 300 % 0.16/0.37 % DateTime : Fri Oct 3 08:18:08 EDT 2025 % 0.23/0.37 % CPUTime : % 13.18/13.37 SZS status Theorem for theBenchmark.p % 13.18/13.37 SZS output start Proof for theBenchmark.p % 13.18/13.37 Clause #1 (by assumption #[]): Eq % 13.18/13.37 (Not % 13.18/13.37 (twoSqu1567020053sum2sq % 13.18/13.37 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 13.18/13.37 (plus_plus int (one_one int) (semiring_1_of_nat int (zero_zero nat)))))) % 13.18/13.37 True % 13.18/13.37 Clause #79 (by assumption #[]): Eq (Eq pls (zero_zero int)) True % 13.18/13.37 Clause #91 (by assumption #[]): Eq (Eq (semiring_1_of_nat int (zero_zero nat)) (zero_zero int)) True % 13.18/13.37 Clause #112 (by assumption #[]): Eq % 13.18/13.37 (Not % 13.18/13.37 (Not % 13.18/13.37 (twoSqu1567020053sum2sq % 13.18/13.37 (times_times int % 13.18/13.37 (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 13.18/13.37 (plus_plus int (one_one int) (semiring_1_of_nat int (zero_zero nat))))))) % 13.18/13.37 True % 13.18/13.37 Clause #113 (by clausification #[1]): Eq % 13.18/13.37 (twoSqu1567020053sum2sq % 13.18/13.37 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 13.18/13.37 (plus_plus int (one_one int) (semiring_1_of_nat int (zero_zero nat))))) % 13.18/13.37 False % 13.18/13.37 Clause #115 (by clausification #[79]): Eq pls (zero_zero int) % 13.18/13.37 Clause #192 (by clausification #[91]): Eq (semiring_1_of_nat int (zero_zero nat)) (zero_zero int) % 13.18/13.37 Clause #193 (by forward demodulation #[192, 115]): Eq (semiring_1_of_nat int (zero_zero nat)) pls % 13.18/13.37 Clause #194 (by backward demodulation #[193, 113]): Eq % 13.18/13.37 (twoSqu1567020053sum2sq % 13.18/13.37 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 13.18/13.37 (plus_plus int (one_one int) pls))) % 13.18/13.37 False % 13.18/13.37 Clause #1379 (by clausification #[112]): Eq % 13.18/13.37 (Not % 13.18/13.37 (twoSqu1567020053sum2sq % 13.18/13.37 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 13.18/13.37 (plus_plus int (one_one int) (semiring_1_of_nat int (zero_zero nat)))))) % 13.18/13.37 False % 13.18/13.37 Clause #1380 (by clausification #[1379]): Eq % 13.18/13.37 (twoSqu1567020053sum2sq % 13.18/13.37 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 13.18/13.37 (plus_plus int (one_one int) (semiring_1_of_nat int (zero_zero nat))))) % 13.18/13.37 True % 13.18/13.37 Clause #1381 (by forward demodulation #[1380, 193]): Eq % 13.18/13.37 (twoSqu1567020053sum2sq % 13.18/13.37 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) % 13.18/13.37 (plus_plus int (one_one int) pls))) % 13.18/13.37 True % 13.18/13.37 Clause #1875 (by superposition #[194, 1381]): Eq True False % 13.18/13.37 Clause #1876 (by clausification #[1875]): False % 13.18/13.37 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------