%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP038^1 : TPTP v9.2.0. Released v7.5.0. % 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 07:51:05 PM UTC 2025 % Result : Theorem 8.82s 9.06s % Output : Proof 8.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ITP038^1 : TPTP v9.2.0. Released v7.5.0. % 0.06/0.13 % Command : duper %s % 0.12/0.34 % Computer : n011.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 00:36:23 EDT 2025 % 0.12/0.35 % CPUTime : % 8.82/9.06 SZS status Theorem for theBenchmark.p % 8.82/9.06 SZS output start Proof for theBenchmark.p % 8.82/9.06 Clause #1 (by assumption #[]): Eq % 8.82/9.06 (∀ (Nu Nu2 : produc190496183real_c) (T1 T2 : trm_a_c), % 8.82/9.06 denota1997846518gree_c Nu Nu2 (static_FVDiff_a_c (plus_a_c T1 T2)) → % 8.82/9.06 denota1997846518gree_c Nu Nu2 (static_FVDiff_a_c T2)) % 8.82/9.06 True % 8.82/9.06 Clause #2 (by assumption #[]): Eq (denota1997846518gree_c nu nu2 (static_FVDiff_a_c (plus_a_c t1 t2))) True % 8.82/9.06 Clause #334 (by assumption #[]): Eq (Not (denota1997846518gree_c nu nu2 (static_FVDiff_a_c t2))) True % 8.82/9.06 Clause #394 (by clausification #[1]): ∀ (a : produc190496183real_c), % 8.82/9.06 Eq % 8.82/9.06 (∀ (Nu2 : produc190496183real_c) (T1 T2 : trm_a_c), % 8.82/9.06 denota1997846518gree_c a Nu2 (static_FVDiff_a_c (plus_a_c T1 T2)) → % 8.82/9.06 denota1997846518gree_c a Nu2 (static_FVDiff_a_c T2)) % 8.82/9.06 True % 8.82/9.06 Clause #395 (by clausification #[394]): ∀ (a a_1 : produc190496183real_c), % 8.82/9.06 Eq % 8.82/9.06 (∀ (T1 T2 : trm_a_c), % 8.82/9.06 denota1997846518gree_c a a_1 (static_FVDiff_a_c (plus_a_c T1 T2)) → % 8.82/9.06 denota1997846518gree_c a a_1 (static_FVDiff_a_c T2)) % 8.82/9.06 True % 8.82/9.06 Clause #396 (by clausification #[395]): ∀ (a a_1 : produc190496183real_c) (a_2 : trm_a_c), % 8.82/9.06 Eq % 8.82/9.06 (∀ (T2 : trm_a_c), % 8.82/9.06 denota1997846518gree_c a a_1 (static_FVDiff_a_c (plus_a_c a_2 T2)) → % 8.82/9.06 denota1997846518gree_c a a_1 (static_FVDiff_a_c T2)) % 8.82/9.06 True % 8.82/9.06 Clause #397 (by clausification #[396]): ∀ (a a_1 : produc190496183real_c) (a_2 a_3 : trm_a_c), % 8.82/9.06 Eq % 8.82/9.06 (denota1997846518gree_c a a_1 (static_FVDiff_a_c (plus_a_c a_2 a_3)) → % 8.82/9.06 denota1997846518gree_c a a_1 (static_FVDiff_a_c a_3)) % 8.82/9.06 True % 8.82/9.06 Clause #398 (by clausification #[397]): ∀ (a a_1 : produc190496183real_c) (a_2 a_3 : trm_a_c), % 8.82/9.06 Or (Eq (denota1997846518gree_c a a_1 (static_FVDiff_a_c (plus_a_c a_2 a_3))) False) % 8.82/9.06 (Eq (denota1997846518gree_c a a_1 (static_FVDiff_a_c a_3)) True) % 8.82/9.06 Clause #640 (by superposition #[2, 398]): Or (Eq (denota1997846518gree_c nu nu2 (static_FVDiff_a_c t2)) True) (Eq False True) % 8.82/9.06 Clause #2533 (by clausification #[334]): Eq (denota1997846518gree_c nu nu2 (static_FVDiff_a_c t2)) False % 8.82/9.06 Clause #3174 (by clausification #[640]): Eq (denota1997846518gree_c nu nu2 (static_FVDiff_a_c t2)) True % 8.82/9.06 Clause #3175 (by superposition #[3174, 2533]): Eq True False % 8.82/9.06 Clause #3209 (by clausification #[3175]): False % 8.82/9.06 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------