0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : do_CVC4 %s 0.12/0.34 % Computer : n007.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 : 180 0.12/0.34 % DateTime : Thu Aug 29 14:37:21 EDT 2019 0.12/0.34 % CPUTime : 0.19/0.47 %----Proving TH0_NAR 0.19/0.48 ------- cvc4-thf casc 27 : /export/starexec/sandbox/benchmark/theBenchmark.p at 180... 0.19/0.48 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.19/0.54 % SZS status Theorem for theBenchmark 0.19/0.54 % SZS output start Proof for theBenchmark 0.19/0.54 (skolem (forall ((BOUND_VARIABLE_353 |u_(-> |u_(-> a a Bool)| Bool)|)) (or (not (ho_5 BOUND_VARIABLE_353 k_6)) (ho_5 BOUND_VARIABLE_353 k_3)) ) 0.19/0.54 ( skv_8 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((z a)) (= (ho_4 k_6 z) (ho_4 k_3 z)) ) 0.19/0.54 ( skv_11 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 e_a_10)) (ho_7 BOUND_VARIABLE_366 skv_11)) ) 0.19/0.54 ( skv_12 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((z a)) (= (ho_7 (ho_4 k_3 e_a_10) z) (ho_7 (ho_4 k_6 e_a_10) z)) ) 0.19/0.54 ( skv_13 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 e_a_10)) (ho_7 BOUND_VARIABLE_366 skv_13)) ) 0.19/0.54 ( skv_14 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 skv_11)) (ho_7 BOUND_VARIABLE_366 e_a_10)) ) 0.19/0.54 ( skv_15 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((z a)) (= (ho_7 (ho_4 k_3 e_a_10) z) (ho_7 (ho_4 k_3 skv_11) z)) ) 0.19/0.54 ( skv_16 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 skv_11)) (ho_7 BOUND_VARIABLE_366 skv_13)) ) 0.19/0.54 ( skv_17 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((z a)) (= (ho_7 (ho_4 k_3 e_a_10) z) (ho_7 (ho_4 k_6 skv_11) z)) ) 0.19/0.54 ( skv_18 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 e_a_10)) (ho_7 BOUND_VARIABLE_366 skv_18)) ) 0.19/0.54 ( skv_19 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((z a)) (= (ho_7 (ho_4 k_3 skv_11) z) (ho_7 (ho_4 k_6 skv_11) z)) ) 0.19/0.54 ( skv_20 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 skv_13)) (ho_7 BOUND_VARIABLE_366 e_a_10)) ) 0.19/0.54 ( skv_21 ) 0.19/0.54 ) 0.19/0.54 (skolem (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 skv_11)) (ho_7 BOUND_VARIABLE_366 skv_20)) ) 0.19/0.54 ( skv_22 ) 0.19/0.54 ) 0.19/0.54 (instantiation (forall ((BOUND_VARIABLE_330 a) (BOUND_VARIABLE_331 a)) (= (ho_7 (ho_4 k_6 BOUND_VARIABLE_330) BOUND_VARIABLE_331) (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 BOUND_VARIABLE_330)) (ho_7 BOUND_VARIABLE_366 BOUND_VARIABLE_331)) )) ) 0.19/0.54 ( e_a_10, e_a_10 ) 0.19/0.54 ( e_a_10, skv_11 ) 0.19/0.54 ( e_a_10, skv_13 ) 0.19/0.54 ( e_a_10, skv_18 ) 0.19/0.54 ( skv_11, e_a_10 ) 0.19/0.54 ( skv_11, skv_11 ) 0.19/0.54 ( skv_11, skv_13 ) 0.19/0.54 ( skv_11, skv_18 ) 0.19/0.54 ( skv_11, skv_20 ) 0.19/0.54 ( skv_13, e_a_10 ) 0.19/0.54 ) 0.19/0.54 (instantiation (forall ((BOUND_VARIABLE_323 a) (BOUND_VARIABLE_324 a)) (= (ho_7 (ho_4 k_3 BOUND_VARIABLE_323) BOUND_VARIABLE_324) (= BOUND_VARIABLE_323 BOUND_VARIABLE_324)) ) 0.19/0.54 ( e_a_10, e_a_10 ) 0.19/0.54 ( e_a_10, skv_11 ) 0.19/0.54 ( e_a_10, skv_13 ) 0.19/0.54 ( e_a_10, skv_18 ) 0.19/0.54 ( skv_11, e_a_10 ) 0.19/0.54 ( skv_11, skv_11 ) 0.19/0.54 ( skv_11, skv_13 ) 0.19/0.54 ( skv_11, skv_16 ) 0.19/0.54 ( skv_11, skv_18 ) 0.19/0.54 ( skv_11, skv_20 ) 0.19/0.54 ( skv_13, e_a_10 ) 0.19/0.54 ( skv_13, skv_11 ) 0.19/0.54 ) 0.19/0.54 (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)) ) 0.19/0.54 ( k_3, k_6 ) 0.19/0.54 ( k_6, k_3 ) 0.19/0.54 ) 0.19/0.54 (instantiation (forall ((x |u_(-> a Bool)|) (y |u_(-> a Bool)|)) (or (not (forall ((z a)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) ) 0.19/0.54 ( |e_|u_(-> a Bool)|_9|, |e_|u_(-> a Bool)|_9| ) 0.19/0.54 ( (ho_4 k_3 e_a_10), (ho_4 k_6 e_a_10) ) 0.19/0.54 ( (ho_4 k_3 e_a_10), (ho_4 k_6 skv_11) ) 0.19/0.54 ( (ho_4 k_3 e_a_10), (ho_4 k_3 skv_11) ) 0.19/0.54 ( (ho_4 k_3 skv_11), (ho_4 k_3 e_a_10) ) 0.19/0.54 ( (ho_4 k_3 skv_11), (ho_4 k_6 skv_11) ) 0.19/0.54 ) 0.19/0.54 (instantiation (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 e_a_10)) (ho_7 BOUND_VARIABLE_366 skv_13)) ) 0.19/0.54 ( (ho_4 k_3 e_a_10) ) 0.19/0.54 ) 0.19/0.54 (instantiation (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 skv_11)) (ho_7 BOUND_VARIABLE_366 skv_18)) ) 0.19/0.54 ( (ho_4 k_3 skv_11) ) 0.19/0.54 ( skv_14 ) 0.19/0.54 ( skv_15 ) 0.19/0.54 ( skv_17 ) 0.19/0.54 ) 0.19/0.54 (instantiation (forall ((BOUND_VARIABLE_366 |u_(-> a Bool)|)) (or (not (ho_7 BOUND_VARIABLE_366 skv_11)) (ho_7 BOUND_VARIABLE_366 skv_20)) ) 0.19/0.54 ( (ho_4 k_3 skv_11) ) 0.19/0.54 ) 0.19/0.54 % SZS output end Proof for theBenchmark 0.19/0.54 EOF