0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : do_CVC4 %s %d 0.13/0.34 % Computer : n021.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 : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 07:29:22 EDT 2020 0.13/0.34 % CPUTime : 0.19/0.46 %----Proving TH0 0.19/0.47 ------- cvc4-thf casc j10 : /export/starexec/sandbox/benchmark/theBenchmark.p at 960... 0.19/0.47 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.19/0.52 % SZS status Theorem for theBenchmark 0.19/0.52 % SZS output start Proof for theBenchmark 0.19/0.52 (skolem (forall ((Xx a)) (= (ho_2 (ho_4 k_3 k_5) Xx) (not (forall ((BOUND_VARIABLE_431 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_431 Xx0)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_431) Xx0)) )) (not (ho_2 BOUND_VARIABLE_431 Xx))) ))) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((BOUND_VARIABLE_431 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_431 Xx0)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_431) Xx0)) )) (not (ho_2 BOUND_VARIABLE_431 skv_6))) ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 k_5 Xx)) ) 0.19/0.52 ( skv_8 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx0 a)) (or (not (ho_2 skv_7 Xx0)) (ho_2 (ho_4 k_3 skv_7) Xx0)) ) 0.19/0.52 ( skv_9 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx0 a)) (let ((_let_0 (ho_4 k_3 k_5))) (or (not (ho_2 _let_0 Xx0)) (ho_2 (ho_4 k_3 _let_0) Xx0))) ) 0.19/0.52 ( skv_10 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx a)) (or (not (ho_2 k_5 Xx)) (ho_2 skv_7 Xx)) ) 0.19/0.52 ( skv_11 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx1 a)) (let ((_let_0 (ho_4 k_3 skv_7))) (or (not (ho_2 _let_0 Xx1)) (ho_2 (ho_4 k_3 _let_0) Xx1))) ) 0.19/0.52 ( skv_12 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_481 skv_11)) (not (forall ((Xx1 a)) (or (not (ho_2 BOUND_VARIABLE_481 Xx1)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_481) Xx1)) ))) ) 0.19/0.52 ( skv_13 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx a)) (or (not (ho_2 (ho_4 k_3 k_5) Xx)) (ho_2 skv_7 Xx)) ) 0.19/0.52 ( skv_14 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx a)) (or (not (ho_2 (ho_4 k_3 skv_7) Xx)) (ho_2 (ho_4 k_3 k_5) Xx)) ) 0.19/0.52 ( skv_15 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx a)) (or (not (ho_2 k_5 Xx)) (ho_2 (ho_4 k_3 k_5) Xx)) ) 0.19/0.52 ( skv_16 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_481 skv_16)) (not (forall ((Xx1 a)) (or (not (ho_2 BOUND_VARIABLE_481 Xx1)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_481) Xx1)) ))) ) 0.19/0.52 ( skv_17 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx a)) (or (not (ho_2 k_5 Xx)) (ho_2 (ho_4 k_3 skv_7) Xx)) ) 0.19/0.52 ( skv_18 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_481 skv_18)) (not (forall ((Xx1 a)) (or (not (ho_2 BOUND_VARIABLE_481 Xx1)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_481) Xx1)) ))) ) 0.19/0.52 ( skv_19 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx a)) (or (not (ho_2 skv_17 Xx)) (ho_2 k_5 Xx)) ) 0.19/0.52 ( skv_20 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx a)) (or (not (ho_2 skv_19 Xx)) (ho_2 skv_7 Xx)) ) 0.19/0.52 ( skv_21 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((BOUND_VARIABLE_460 |u_(-> a Bool)|) (BOUND_VARIABLE_464 |u_(-> a Bool)|) (BOUND_VARIABLE_373 a)) (or (not (forall ((Xx a)) (or (not (ho_2 BOUND_VARIABLE_464 Xx)) (ho_2 BOUND_VARIABLE_460 Xx)) )) (not (ho_2 (ho_4 k_3 BOUND_VARIABLE_464) BOUND_VARIABLE_373)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_460) BOUND_VARIABLE_373)) ) 0.19/0.52 ( k_5, k_5, skv_8 ) 0.19/0.52 ( k_5, skv_7, skv_6 ) 0.19/0.52 ( k_5, skv_7, skv_15 ) 0.19/0.52 ( k_5, skv_17, skv_16 ) 0.19/0.52 ( (ho_4 k_3 k_5), k_5, skv_10 ) 0.19/0.52 ( (ho_4 k_3 k_5), (ho_4 k_3 k_5), skv_9 ) 0.19/0.52 ( (ho_4 k_3 k_5), (ho_4 k_3 skv_7), skv_10 ) 0.19/0.52 ( skv_7, k_5, skv_6 ) 0.19/0.52 ( skv_7, k_5, skv_8 ) 0.19/0.52 ( skv_7, (ho_4 k_3 k_5), skv_9 ) 0.19/0.52 ( skv_7, skv_7, skv_6 ) 0.19/0.52 ( skv_7, skv_19, skv_18 ) 0.19/0.52 ( (ho_4 k_3 skv_7), k_5, skv_10 ) 0.19/0.52 ( (ho_4 k_3 skv_7), skv_7, skv_12 ) 0.19/0.52 ( (ho_4 k_3 skv_7), (ho_4 k_3 skv_7), skv_10 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx0 a)) (= (ho_2 k_5 Xx0) (not (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_481 Xx0)) (not (forall ((Xx1 a)) (or (not (ho_2 BOUND_VARIABLE_481 Xx1)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_481) Xx1)) ))) ))) ) 0.19/0.52 ( skv_8 ) 0.19/0.52 ( skv_11 ) 0.19/0.52 ( skv_16 ) 0.19/0.52 ( skv_18 ) 0.19/0.52 ( skv_20 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((BOUND_VARIABLE_431 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_431 Xx0)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_431) Xx0)) )) (not (ho_2 BOUND_VARIABLE_431 skv_6))) ) 0.19/0.52 ( (ho_4 k_3 k_5) ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( (ho_4 k_3 skv_7) ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_7 Xx0)) (ho_2 (ho_4 k_3 skv_7) Xx0)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_8 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_481 skv_8)) (not (forall ((Xx1 a)) (or (not (ho_2 BOUND_VARIABLE_481 Xx1)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_481) Xx1)) ))) ) 0.19/0.52 ( (ho_4 k_3 k_5) ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( (ho_4 k_3 skv_7) ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx1 a)) (or (not (ho_2 skv_13 Xx1)) (ho_2 (ho_4 k_3 skv_13) Xx1)) ) 0.19/0.52 ( skv_11 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx1 a)) (or (not (ho_2 skv_17 Xx1)) (ho_2 (ho_4 k_3 skv_17) Xx1)) ) 0.19/0.52 ( skv_16 ) 0.19/0.52 ( skv_20 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx1 a)) (or (not (ho_2 skv_19 Xx1)) (ho_2 (ho_4 k_3 skv_19) Xx1)) ) 0.19/0.52 ( skv_18 ) 0.19/0.52 ( skv_21 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_481 skv_20)) (not (forall ((Xx1 a)) (or (not (ho_2 BOUND_VARIABLE_481 Xx1)) (ho_2 (ho_4 k_3 BOUND_VARIABLE_481) Xx1)) ))) ) 0.19/0.52 ( skv_17 ) 0.19/0.52 ( (ho_4 k_3 skv_17) ) 0.19/0.52 ) 0.19/0.52 % SZS output end Proof for theBenchmark 0.19/0.52 EOF