%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP071^1 : TPTP v9.2.0. Released v7.5.0. % 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 07:51:09 PM UTC 2025 % Result : Theorem 17.48s 17.64s % Output : Proof 17.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : ITP071^1 : TPTP v9.2.0. Released v7.5.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n012.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 23:57:23 EDT 2025 % 0.13/0.35 % CPUTime : % 17.48/17.64 SZS status Theorem for theBenchmark.p % 17.48/17.64 SZS output start Proof for theBenchmark.p % 17.48/17.64 Clause #10 (by assumption #[]): Eq (is_heap_a e_a) True % 17.48/17.64 Clause #16 (by assumption #[]): Eq (∀ (V2 : a), Eq (heapIm837449470Leaf_a (t_a V2 e_a e_a)) (produc686083979Tree_a V2 e_a)) True % 17.48/17.64 Clause #27 (by assumption #[]): Eq (∀ (X12 : a) (X24 : tree_a), Eq (product_snd_a_Tree_a (produc686083979Tree_a X12 X24)) X24) True % 17.48/17.64 Clause #320 (by assumption #[]): Eq (Not (is_heap_a (product_snd_a_Tree_a (heapIm837449470Leaf_a (t_a v e_a e_a))))) True % 17.48/17.64 Clause #1922 (by clausification #[16]): ∀ (a : a), Eq (Eq (heapIm837449470Leaf_a (t_a a e_a e_a)) (produc686083979Tree_a a e_a)) True % 17.48/17.64 Clause #1923 (by clausification #[1922]): ∀ (a : a), Eq (heapIm837449470Leaf_a (t_a a e_a e_a)) (produc686083979Tree_a a e_a) % 17.48/17.64 Clause #2312 (by clausification #[320]): Eq (is_heap_a (product_snd_a_Tree_a (heapIm837449470Leaf_a (t_a v e_a e_a)))) False % 17.48/17.64 Clause #2313 (by forward demodulation #[2312, 1923]): Eq (is_heap_a (product_snd_a_Tree_a (produc686083979Tree_a v e_a))) False % 17.48/17.64 Clause #3195 (by clausification #[27]): ∀ (a : a), Eq (∀ (X24 : tree_a), Eq (product_snd_a_Tree_a (produc686083979Tree_a a X24)) X24) True % 17.48/17.64 Clause #3196 (by clausification #[3195]): ∀ (a : a) (a_1 : tree_a), Eq (Eq (product_snd_a_Tree_a (produc686083979Tree_a a a_1)) a_1) True % 17.48/17.64 Clause #3197 (by clausification #[3196]): ∀ (a : a) (a_1 : tree_a), Eq (product_snd_a_Tree_a (produc686083979Tree_a a a_1)) a_1 % 17.48/17.64 Clause #3198 (by backward demodulation #[3197, 2313]): Eq (is_heap_a e_a) False % 17.48/17.64 Clause #3222 (by superposition #[3198, 10]): Eq False True % 17.48/17.64 Clause #3233 (by clausification #[3222]): False % 17.48/17.64 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------