%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : COM194^1 : TPTP v9.2.0. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n019.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 07:45:59 PM UTC 2025 % Result : Theorem 15.60s 15.76s % Output : Proof 15.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : COM194^1 : TPTP v9.2.0. Released v7.0.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n019.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 16:03:08 EDT 2025 % 0.14/0.34 % CPUTime : % 15.60/15.76 SZS status Theorem for theBenchmark.p % 15.60/15.76 SZS output start Proof for theBenchmark.p % 15.60/15.76 Clause #0 (by assumption #[]): Eq (gram_L864798063lle_wf tr2) True % 15.60/15.76 Clause #1 (by assumption #[]): Eq (Eq tr (gram_L1004374585hsubst tr2 tr2)) True % 15.60/15.76 Clause #2 (by assumption #[]): Eq % 15.60/15.76 (∀ (Tr0 Tr : dtree), % 15.60/15.76 gram_L864798063lle_wf Tr0 → gram_L864798063lle_wf Tr → gram_L864798063lle_wf (gram_L1004374585hsubst Tr0 Tr)) % 15.60/15.76 True % 15.60/15.76 Clause #257 (by assumption #[]): Eq (Not (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 tr2))) True % 15.60/15.76 Clause #260 (by clausification #[1]): Eq tr (gram_L1004374585hsubst tr2 tr2) % 15.60/15.76 Clause #266 (by clausification #[2]): ∀ (a : dtree), % 15.60/15.76 Eq % 15.60/15.76 (∀ (Tr : dtree), % 15.60/15.76 gram_L864798063lle_wf a → gram_L864798063lle_wf Tr → gram_L864798063lle_wf (gram_L1004374585hsubst a Tr)) % 15.60/15.76 True % 15.60/15.76 Clause #267 (by clausification #[266]): ∀ (a a_1 : dtree), % 15.60/15.76 Eq (gram_L864798063lle_wf a → gram_L864798063lle_wf a_1 → gram_L864798063lle_wf (gram_L1004374585hsubst a a_1)) True % 15.60/15.76 Clause #268 (by clausification #[267]): ∀ (a a_1 : dtree), % 15.60/15.76 Or (Eq (gram_L864798063lle_wf a) False) % 15.60/15.76 (Eq (gram_L864798063lle_wf a_1 → gram_L864798063lle_wf (gram_L1004374585hsubst a a_1)) True) % 15.60/15.76 Clause #269 (by clausification #[268]): ∀ (a a_1 : dtree), % 15.60/15.76 Or (Eq (gram_L864798063lle_wf a) False) % 15.60/15.76 (Or (Eq (gram_L864798063lle_wf a_1) False) (Eq (gram_L864798063lle_wf (gram_L1004374585hsubst a a_1)) True)) % 15.60/15.76 Clause #270 (by superposition #[269, 0]): ∀ (a : dtree), % 15.60/15.76 Or (Eq (gram_L864798063lle_wf a) False) % 15.60/15.76 (Or (Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 a)) True) (Eq False True)) % 15.60/15.76 Clause #275 (by clausification #[257]): Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 tr2)) False % 15.60/15.76 Clause #276 (by forward demodulation #[275, 260]): Eq (gram_L864798063lle_wf tr) False % 15.60/15.76 Clause #6031 (by clausification #[270]): ∀ (a : dtree), Or (Eq (gram_L864798063lle_wf a) False) (Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 a)) True) % 15.60/15.76 Clause #6032 (by superposition #[6031, 0]): Or (Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 tr2)) True) (Eq False True) % 15.60/15.76 Clause #6053 (by clausification #[6032]): Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 tr2)) True % 15.60/15.76 Clause #6054 (by forward demodulation #[6053, 260]): Eq (gram_L864798063lle_wf tr) True % 15.60/15.76 Clause #6055 (by superposition #[6054, 276]): Eq True False % 15.60/15.76 Clause #6103 (by clausification #[6055]): False % 15.60/15.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------