0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.12 % Command : do_CVC4 %s %d 0.11/0.32 % Computer : n025.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Thu Jul 2 07:19:33 EDT 2020 0.11/0.32 % CPUTime : 0.18/0.44 %----Proving TH0 0.18/0.44 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.18/0.44 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.18/0.50 % SZS status Theorem for theBenchmark 0.18/0.50 % SZS output start Proof for theBenchmark 0.18/0.50 (skolem (forall ((z a)) (= (ho_4 k_5 z) (ho_4 k_3 z)) ) 0.18/0.50 ( skv_9 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 e_a_8)) (ho_6 BOUND_VARIABLE_342 skv_9)) ) 0.18/0.50 ( skv_10 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((z a)) (= (ho_6 (ho_4 k_5 e_a_8) z) (ho_6 (ho_4 k_3 e_a_8) z)) ) 0.18/0.50 ( skv_11 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 e_a_8)) (ho_6 BOUND_VARIABLE_342 skv_11)) ) 0.18/0.50 ( skv_12 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 skv_9)) (ho_6 BOUND_VARIABLE_342 e_a_8)) ) 0.18/0.50 ( skv_13 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((z a)) (= (ho_6 (ho_4 k_5 e_a_8) z) (ho_6 (ho_4 k_3 skv_9) z)) ) 0.18/0.50 ( skv_14 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 e_a_8)) (ho_6 BOUND_VARIABLE_342 skv_14)) ) 0.18/0.50 ( skv_15 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 skv_9)) (ho_6 BOUND_VARIABLE_342 skv_11)) ) 0.18/0.50 ( skv_16 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((z a)) (= (ho_6 (ho_4 k_5 e_a_8) z) (ho_6 (ho_4 k_5 skv_9) z)) ) 0.18/0.50 ( skv_17 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((z a)) (= (ho_6 (ho_4 k_3 skv_9) z) (ho_6 (ho_4 k_5 skv_9) z)) ) 0.18/0.50 ( skv_18 ) 0.18/0.50 ) 0.18/0.50 (skolem (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 skv_11)) (ho_6 BOUND_VARIABLE_342 e_a_8)) ) 0.18/0.50 ( skv_19 ) 0.18/0.50 ) 0.18/0.50 (instantiation (forall ((X a) (Y a)) (= (ho_6 (ho_4 k_5 X) Y) (= X Y)) ) 0.18/0.50 ( e_a_8, e_a_8 ) 0.18/0.50 ( e_a_8, skv_9 ) 0.18/0.50 ( e_a_8, skv_11 ) 0.18/0.50 ( e_a_8, skv_14 ) 0.18/0.50 ( skv_9, e_a_8 ) 0.18/0.50 ( skv_9, skv_9 ) 0.18/0.50 ( skv_9, skv_11 ) 0.18/0.50 ( skv_9, skv_14 ) 0.18/0.50 ( skv_9, skv_17 ) 0.18/0.50 ( skv_9, skv_18 ) 0.18/0.50 ( skv_11, e_a_8 ) 0.18/0.50 ) 0.18/0.50 (instantiation (forall ((X a) (Y a)) (= (ho_6 (ho_4 k_3 X) Y) (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 X)) (ho_6 BOUND_VARIABLE_342 Y)) )) ) 0.18/0.50 ( e_a_8, e_a_8 ) 0.18/0.50 ( e_a_8, skv_9 ) 0.18/0.50 ( e_a_8, skv_11 ) 0.18/0.50 ( e_a_8, skv_14 ) 0.18/0.50 ( skv_9, e_a_8 ) 0.18/0.50 ( skv_9, skv_9 ) 0.18/0.50 ( skv_9, skv_11 ) 0.18/0.50 ( skv_9, skv_14 ) 0.18/0.50 ( skv_9, skv_18 ) 0.18/0.50 ( skv_11, e_a_8 ) 0.18/0.50 ) 0.18/0.50 (instantiation (forall ((x |u_(-> a Bool)|) (y |u_(-> a Bool)|)) (or (not (forall ((z a)) (= (ho_6 x z) (ho_6 y z)) )) (= x y)) ) 0.18/0.50 ( |e__u_(-> a Bool)__7|, |e__u_(-> a Bool)__7| ) 0.18/0.50 ( (ho_4 k_5 e_a_8), (ho_4 k_3 e_a_8) ) 0.18/0.50 ( (ho_4 k_5 e_a_8), (ho_4 k_5 skv_9) ) 0.18/0.50 ( (ho_4 k_5 e_a_8), (ho_4 k_3 skv_9) ) 0.18/0.50 ( (ho_4 k_3 skv_9), (ho_4 k_5 e_a_8) ) 0.18/0.50 ( (ho_4 k_3 skv_9), (ho_4 k_5 skv_9) ) 0.18/0.50 ) 0.18/0.50 (instantiation (forall ((x |u_(-> a a Bool)|) (y |u_(-> a a Bool)|)) (or (not (forall ((z a)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) ) 0.18/0.50 ( k_3, k_5 ) 0.18/0.50 ( k_5, k_3 ) 0.18/0.50 ) 0.18/0.50 (instantiation (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 e_a_8)) (ho_6 BOUND_VARIABLE_342 skv_11)) ) 0.18/0.50 ( (ho_4 k_5 e_a_8) ) 0.18/0.50 ) 0.18/0.50 (instantiation (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 skv_9)) (ho_6 BOUND_VARIABLE_342 skv_14)) ) 0.18/0.50 ( (ho_4 k_5 skv_9) ) 0.18/0.50 ( skv_12 ) 0.18/0.50 ( skv_13 ) 0.18/0.50 ( skv_15 ) 0.18/0.50 ) 0.18/0.50 (instantiation (forall ((BOUND_VARIABLE_342 |u_(-> a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_342 skv_9)) (ho_6 BOUND_VARIABLE_342 skv_18)) ) 0.18/0.50 ( (ho_4 k_5 skv_9) ) 0.18/0.50 ) 0.18/0.50 % SZS output end Proof for theBenchmark 0.18/0.50 EOF