0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % 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 07:19:23 EDT 2020 0.13/0.34 % CPUTime : 0.19/0.47 %----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... 0.83/1.02 % SZS status Theorem for theBenchmark 0.83/1.02 % SZS output start Proof for theBenchmark 0.83/1.02 (skolem (forall ((BOUND_VARIABLE_471 |u_(-> _'type/realax/real'_ _'type/realax/real'_)|) (A0 |'type/realax/real'|)) (or (not (ho_12 k_11 BOUND_VARIABLE_471)) (ho_12 k_11 (ho_4 (ho_10 k_9 BOUND_VARIABLE_471) A0))) ) 0.83/1.02 ( skv_13 skv_14 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_5 skv_13 z) (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) z)) ) 0.83/1.02 ( skv_17 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_5 skv_13 z) (ho_5 (ho_4 k_3 (ho_5 skv_13 skv_14)) z)) ) 0.83/1.02 ( skv_18 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_4 (ho_10 k_9 skv_13) z) (ho_4 k_3 z)) ) 0.83/1.02 ( skv_19 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |u_(-> _'type/realax/real'_ _'type/realax/real'_)|)) (= (ho_8 (ho_7 k_6 skv_14) z) (ho_8 (ho_7 k_6 (ho_5 skv_13 skv_14)) z)) ) 0.83/1.02 ( skv_20 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) z) (ho_5 (ho_4 k_3 (ho_5 skv_13 skv_14)) z)) ) 0.83/1.02 ( skv_21 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |u_(-> _'type/realax/real'_ _'type/realax/real'_)|)) (= (ho_8 (ho_7 k_6 skv_14) z) (ho_8 (ho_7 k_6 (ho_5 skv_13 skv_17)) z)) ) 0.83/1.02 ( skv_22 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_5 skv_13 z) (ho_5 (ho_4 k_3 skv_14) z)) ) 0.83/1.02 ( skv_23 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (let ((_let_0 (ho_10 k_9 skv_13))) (= (ho_4 _let_0 z) (ho_4 (ho_10 k_9 (ho_4 _let_0 skv_14)) z))) ) 0.83/1.02 ( skv_24 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |u_(-> _'type/realax/real'_ _'type/realax/real'_)|)) (= (ho_8 (ho_7 k_6 (ho_5 skv_13 skv_14)) z) (ho_8 (ho_7 k_6 (ho_5 skv_13 skv_17)) z)) ) 0.83/1.02 ( skv_25 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) z) (ho_5 (ho_4 k_3 skv_14) z)) ) 0.83/1.02 ( skv_26 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_4 k_3 z) (ho_4 (ho_10 k_9 (ho_4 (ho_10 k_9 skv_13) skv_14)) z)) ) 0.83/1.02 ( skv_27 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |u_(-> _'type/realax/real'_ _'type/realax/real'_)|)) (= (ho_8 (ho_7 k_6 skv_14) z) (ho_8 (ho_7 k_6 skv_18) z)) ) 0.83/1.02 ( skv_28 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_5 (ho_4 k_3 (ho_5 skv_13 skv_14)) z) (ho_5 (ho_4 k_3 skv_14) z)) ) 0.83/1.02 ( skv_29 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_4 (ho_10 k_9 skv_13) z) (ho_4 (ho_10 k_9 (ho_4 k_3 skv_14)) z)) ) 0.83/1.02 ( skv_30 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |u_(-> _'type/realax/real'_ _'type/realax/real'_)|)) (= (ho_8 (ho_7 k_6 (ho_5 skv_13 skv_14)) z) (ho_8 (ho_7 k_6 skv_18) z)) ) 0.83/1.02 ( skv_31 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_5 skv_13 z) (ho_5 (ho_8 (ho_7 k_6 skv_14) skv_13) z)) ) 0.83/1.02 ( skv_32 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_4 k_3 z) (ho_4 (ho_10 k_9 (ho_4 k_3 skv_14)) z)) ) 0.83/1.02 ( skv_33 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |u_(-> _'type/realax/real'_ _'type/realax/real'_)|)) (= (ho_8 (ho_7 k_6 (ho_5 skv_13 skv_17)) z) (ho_8 (ho_7 k_6 skv_18) z)) ) 0.83/1.02 ( skv_34 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) z) (ho_5 (ho_8 (ho_7 k_6 skv_14) skv_13) z)) ) 0.83/1.02 ( skv_35 ) 0.83/1.02 ) 0.83/1.02 (skolem (forall ((z |'type/realax/real'|)) (= (ho_4 (ho_10 k_9 (ho_4 (ho_10 k_9 skv_13) skv_14)) z) (ho_4 (ho_10 k_9 (ho_4 k_3 skv_14)) z)) ) 0.83/1.02 ( skv_36 ) 0.83/1.02 ) 0.83/1.02 (instantiation (forall ((BOUND_VARIABLE_443 |u_(-> _'type/realax/real'_ _'type/realax/real'_)|) (BOUND_VARIABLE_376 |'type/realax/real'|) (BOUND_VARIABLE_377 |'type/realax/real'|)) (= (ho_5 (ho_4 (ho_10 k_9 BOUND_VARIABLE_443) BOUND_VARIABLE_376) BOUND_VARIABLE_377) (ho_5 (ho_4 k_3 (ho_5 BOUND_VARIABLE_443 BOUND_VARIABLE_377)) BOUND_VARIABLE_376)) ) 0.83/1.02 ( skv_13, skv_14, skv_14 ) 0.83/1.02 ( skv_13, skv_14, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( skv_13, skv_14, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_13, skv_14, skv_17 ) 0.83/1.02 ( skv_13, skv_14, skv_21 ) 0.83/1.02 ( skv_13, skv_14, skv_26 ) 0.83/1.02 ( skv_13, skv_14, skv_32 ) 0.83/1.02 ( skv_13, skv_14, skv_35 ) 0.83/1.02 ( skv_13, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_14 ) 0.83/1.02 ( skv_13, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( skv_13, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_13, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_17 ) 0.83/1.02 ( skv_13, (ho_5 skv_13 skv_14), skv_14 ) 0.83/1.02 ( skv_13, (ho_5 skv_13 skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( skv_13, (ho_5 skv_13 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_13, (ho_5 skv_13 skv_14), skv_17 ) 0.83/1.02 ( skv_13, (ho_5 skv_13 skv_17), skv_14 ) 0.83/1.02 ( skv_13, (ho_5 skv_13 skv_17), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_13, (ho_5 skv_13 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( skv_13, (ho_5 skv_13 (ho_5 skv_13 skv_14)), skv_17 ) 0.83/1.02 ( skv_13, skv_18, skv_14 ) 0.83/1.02 ( skv_13, skv_21, skv_14 ) 0.83/1.02 ( skv_13, skv_29, skv_14 ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), skv_14, skv_14 ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), skv_14, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_14 ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_5 skv_13 skv_14), skv_14 ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_5 skv_13 skv_17), skv_14 ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_5 skv_13 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), skv_14 ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), skv_14 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_14, skv_14 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_14 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), (ho_5 skv_13 skv_14), skv_14 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), (ho_5 skv_13 skv_17), skv_14 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), (ho_5 skv_13 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), skv_14 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14, skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 skv_13 skv_14), skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 skv_13 skv_17), skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 skv_13 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), skv_14 ) 0.83/1.02 ( (ho_4 k_3 skv_14), skv_14, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_4 k_3 skv_14), skv_14, (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)) ) 0.83/1.02 ( (ho_4 k_3 skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_4 k_3 skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)) ) 0.83/1.02 ( (ho_4 k_3 skv_14), (ho_5 skv_13 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_4 k_3 skv_14), (ho_5 skv_13 skv_17), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_4 k_3 skv_14), (ho_5 skv_13 (ho_5 skv_13 skv_14)), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_4 k_3 skv_14), (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_4 k_3 skv_14), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14))), skv_14, skv_14 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14))), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_14 ) 0.83/1.02 ) 0.83/1.02 (instantiation (forall ((BOUND_VARIABLE_384 |'type/realax/real'|) (BOUND_VARIABLE_417 |u_(-> _'type/realax/real'_ _'type/realax/real'_)|) (BOUND_VARIABLE_386 |'type/realax/real'|)) (= (ho_5 (ho_8 (ho_7 k_6 BOUND_VARIABLE_384) BOUND_VARIABLE_417) BOUND_VARIABLE_386) (ho_5 (ho_4 k_3 BOUND_VARIABLE_384) (ho_5 BOUND_VARIABLE_417 BOUND_VARIABLE_386))) ) 0.83/1.02 ( skv_14, skv_13, skv_14 ) 0.83/1.02 ( skv_14, skv_13, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( skv_14, skv_13, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_14, skv_13, skv_17 ) 0.83/1.02 ( skv_14, skv_13, skv_21 ) 0.83/1.02 ( skv_14, skv_13, skv_26 ) 0.83/1.02 ( skv_14, skv_13, skv_32 ) 0.83/1.02 ( skv_14, skv_13, skv_35 ) 0.83/1.02 ( skv_14, (ho_4 (ho_10 k_9 skv_13) skv_14), skv_14 ) 0.83/1.02 ( skv_14, (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( skv_14, (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_14, (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( skv_14, (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14 ) 0.83/1.02 ( skv_14, (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( skv_14, (ho_4 k_3 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_14, (ho_4 k_3 skv_14), (ho_5 skv_13 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( skv_14, (ho_4 k_3 skv_14), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)) ) 0.83/1.02 ( skv_14, (ho_4 k_3 (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14))), skv_14 ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_13, skv_14 ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_13, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_13, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_13, skv_17 ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_4 (ho_10 k_9 skv_13) skv_14), skv_14 ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14 ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_4 k_3 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_4 k_3 skv_14), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_4 k_3 (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14))), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_14), skv_13, skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_14), skv_13, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 skv_13 skv_14), skv_13, skv_17 ) 0.83/1.02 ( (ho_5 skv_13 skv_14), (ho_4 (ho_10 k_9 skv_13) skv_14), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_14), (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_14), (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_14), (ho_4 k_3 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 skv_13 skv_17), skv_13, skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_17), skv_13, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 skv_13 skv_17), (ho_4 (ho_10 k_9 skv_13) skv_14), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_17), (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_17), (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_17), (ho_4 k_3 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 skv_13 skv_14)), skv_13, skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 skv_13 skv_14)), skv_13, skv_17 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 skv_13 skv_14)), (ho_4 (ho_10 k_9 skv_13) skv_14), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 skv_13 skv_14)), (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 skv_13 skv_14)), (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 skv_13 skv_14)), (ho_4 k_3 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_18, skv_13, skv_14 ) 0.83/1.02 ( skv_21, skv_13, skv_14 ) 0.83/1.02 ( (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), (ho_4 (ho_10 k_9 skv_13) skv_14), skv_14 ) 0.83/1.02 ( (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14 ) 0.83/1.02 ( (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), (ho_4 k_3 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), skv_13, skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), (ho_4 (ho_10 k_9 skv_13) skv_14), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), (ho_4 k_3 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_29, skv_13, skv_14 ) 0.83/1.02 ) 0.83/1.02 (instantiation (forall ((A |'type/realax/real'|) (A0 |'type/realax/real'|)) (= (ho_5 (ho_4 k_3 A) A0) (ho_5 (ho_4 k_3 A0) A)) ) 0.83/1.02 ( skv_14, skv_14 ) 0.83/1.02 ( skv_14, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( skv_14, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_14, (ho_5 skv_13 skv_17) ) 0.83/1.02 ( skv_14, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( skv_14, (ho_5 skv_13 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( skv_14, skv_18 ) 0.83/1.02 ( skv_14, (ho_5 skv_13 skv_21) ) 0.83/1.02 ( skv_14, (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))) ) 0.83/1.02 ( skv_14, (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)) ) 0.83/1.02 ( skv_14, skv_23 ) 0.83/1.02 ( skv_14, skv_26 ) 0.83/1.02 ( skv_14, (ho_5 skv_13 skv_26) ) 0.83/1.02 ( skv_14, skv_29 ) 0.83/1.02 ( skv_14, (ho_5 skv_13 skv_32) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), skv_14 ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 skv_13 skv_17) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 skv_13 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)) ) 0.83/1.02 ( (ho_5 skv_13 skv_14), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_14), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 skv_13 skv_14), (ho_5 skv_13 skv_17) ) 0.83/1.02 ( (ho_5 skv_13 skv_14), (ho_5 skv_13 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( (ho_5 skv_13 skv_14), skv_18 ) 0.83/1.02 ( (ho_5 skv_13 skv_14), skv_21 ) 0.83/1.02 ( (ho_5 skv_13 skv_14), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)) ) 0.83/1.02 ( (ho_5 skv_13 skv_14), skv_29 ) 0.83/1.02 ( (ho_5 skv_13 skv_17), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_17), (ho_5 skv_13 skv_17) ) 0.83/1.02 ( (ho_5 skv_13 skv_17), (ho_5 skv_13 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 skv_13 skv_14)), (ho_5 skv_13 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( skv_18, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_21, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 skv_13 skv_21), skv_14 ) 0.83/1.02 ( (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), skv_14 ) 0.83/1.02 ( (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_23, skv_14 ) 0.83/1.02 ( skv_26, skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_26), skv_14 ) 0.83/1.02 ( skv_29, skv_14 ) 0.83/1.02 ( skv_29, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_5 skv_13 skv_32), skv_14 ) 0.83/1.02 ( (ho_5 skv_13 skv_35), skv_14 ) 0.83/1.02 ) 0.83/1.02 (instantiation (forall ((BOUND_VARIABLE_488 |u_(-> _'type/realax/real'_ _'type/realax/real'_)|) (A0 |'type/realax/real'|)) (or (not (ho_12 k_11 BOUND_VARIABLE_488)) (ho_12 k_11 (ho_8 (ho_7 k_6 A0) BOUND_VARIABLE_488))) ) 0.83/1.02 ( skv_13, skv_14 ) 0.83/1.02 ( skv_13, (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( skv_13, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_13, (ho_5 skv_13 skv_17) ) 0.83/1.02 ( skv_13, (ho_5 skv_13 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( skv_13, skv_18 ) 0.83/1.02 ( skv_13, skv_21 ) 0.83/1.02 ( skv_13, skv_29 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14) ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 skv_13 skv_17) ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 skv_13 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), skv_18 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (let ((_let_0 (ho_10 k_9 skv_13))) (let ((_let_1 (ho_4 _let_0 skv_14))) (ho_5 _let_1 (ho_5 _let_1 skv_14)))) ) 0.83/1.02 ( (ho_8 (ho_7 k_6 skv_14) skv_13), (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14)) ) 0.83/1.02 ( (ho_4 k_3 skv_14), skv_14 ) 0.83/1.02 ( (ho_8 (ho_7 k_6 (ho_5 skv_13 skv_14)) skv_13), skv_14 ) 0.83/1.02 ( skv_20, skv_14 ) 0.83/1.02 ( skv_20, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 (ho_5 (ho_4 (ho_10 k_9 skv_13) skv_14) skv_14))), skv_14 ) 0.83/1.02 ( skv_22, skv_14 ) 0.83/1.02 ( skv_22, (ho_5 skv_13 skv_17) ) 0.83/1.02 ( skv_25, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_25, (ho_5 skv_13 skv_17) ) 0.83/1.02 ( skv_28, skv_14 ) 0.83/1.02 ( skv_28, skv_18 ) 0.83/1.02 ( skv_31, (ho_5 skv_13 skv_14) ) 0.83/1.02 ( skv_31, skv_18 ) 0.83/1.02 ( skv_34, (ho_5 skv_13 skv_17) ) 0.83/1.02 ( skv_34, skv_18 ) 0.83/1.02 ) 0.83/1.02 (instantiation (forall ((x |u_(-> _u_(-> _'type/realax/real'_ _'type/realax/real'_)_ _'type/realax/real'_ _'type/realax/real'_)|) (y |u_(-> _u_(-> _'type/realax/real'_ _'type/realax/real'_)_ _'type/realax/real'_ _'type/realax/real'_)|)) (or (not (forall ((z |u_(-> _'type/realax/real'_ _'type/realax/real'_)|)) (= (ho_8 x z) (ho_8 y z)) )) (= x y)) ) 0.83/1.02 ( |e__u_(-> _u_(-> _'type/realax/real'_ _'type/realax/real'_)_ _'type/realax/real'_ _'type/realax/real'_)__15|, |e__u_(-> _u_(-> _'type/realax/real'_ _'type/realax/real'_)_ _'type/realax/real'_ _'type/realax/real'_)__15| ) 0.83/1.02 ( (ho_7 k_6 skv_14), (ho_7 k_6 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( (ho_7 k_6 skv_14), (ho_7 k_6 (ho_5 skv_13 skv_17)) ) 0.83/1.02 ( (ho_7 k_6 skv_14), (ho_7 k_6 skv_18) ) 0.83/1.02 ( (ho_7 k_6 (ho_5 skv_13 skv_14)), (ho_7 k_6 skv_14) ) 0.83/1.02 ( (ho_7 k_6 (ho_5 skv_13 skv_14)), (ho_7 k_6 (ho_5 skv_13 skv_17)) ) 0.83/1.02 ( (ho_7 k_6 (ho_5 skv_13 skv_14)), (ho_7 k_6 skv_18) ) 0.83/1.02 ( (ho_7 k_6 (ho_5 skv_13 skv_17)), (ho_7 k_6 skv_14) ) 0.83/1.02 ( (ho_7 k_6 (ho_5 skv_13 skv_17)), (ho_7 k_6 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( (ho_7 k_6 (ho_5 skv_13 skv_17)), (ho_7 k_6 skv_18) ) 0.83/1.02 ) 0.83/1.02 (instantiation (forall ((x |u_(-> _'type/realax/real'_ _u_(-> _'type/realax/real'_ _'type/realax/real'_)_ _'type/realax/real'_ _'type/realax/real'_)|) (y |u_(-> _'type/realax/real'_ _u_(-> _'type/realax/real'_ _'type/realax/real'_)_ _'type/realax/real'_ _'type/realax/real'_)|)) (or (not (forall ((z |'type/realax/real'|)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) ) 0.83/1.02 ( |e__u_(-> _'type/realax/real'_ _u_(-> _'type/realax/real'_ _'type/realax/real'_)_ _'type/realax/real'_ _'type/realax/real'_)__16|, |e__u_(-> _'type/realax/real'_ _u_(-> _'type/realax/real'_ _'type/realax/real'_)_ _'type/realax/real'_ _'type/realax/real'_)__16| ) 0.83/1.02 ) 0.83/1.02 (instantiation (forall ((x |u_(-> _'type/realax/real'_ _'type/realax/real'_)|) (y |u_(-> _'type/realax/real'_ _'type/realax/real'_)|)) (or (not (forall ((z |'type/realax/real'|)) (= (ho_5 x z) (ho_5 y z)) )) (= x y)) ) 0.83/1.02 ( skv_13, (ho_4 (ho_10 k_9 skv_13) skv_14) ) 0.83/1.02 ( skv_13, (ho_4 k_3 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( skv_13, (ho_8 (ho_7 k_6 skv_14) skv_13) ) 0.83/1.02 ( skv_13, (ho_4 k_3 skv_14) ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), skv_13 ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_4 k_3 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_8 (ho_7 k_6 skv_14) skv_13) ) 0.83/1.02 ( (ho_4 (ho_10 k_9 skv_13) skv_14), (ho_4 k_3 skv_14) ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), skv_13 ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), (ho_4 (ho_10 k_9 skv_13) skv_14) ) 0.83/1.02 ( (ho_4 k_3 (ho_5 skv_13 skv_14)), (ho_4 k_3 skv_14) ) 0.83/1.02 ( (ho_4 k_3 skv_14), skv_13 ) 0.83/1.02 ( (ho_4 k_3 skv_14), (ho_4 (ho_10 k_9 skv_13) skv_14) ) 0.83/1.02 ( (ho_4 k_3 skv_14), (ho_4 k_3 (ho_5 skv_13 skv_14)) ) 0.83/1.02 ) 0.83/1.02 (instantiation (forall ((x |u_(-> _'type/realax/real'_ _'type/realax/real'_ _'type/realax/real'_)|) (y |u_(-> _'type/realax/real'_ _'type/realax/real'_ _'type/realax/real'_)|)) (or (not (forall ((z |'type/realax/real'|)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) ) 0.83/1.02 ( k_3, (ho_10 k_9 skv_13) ) 0.83/1.02 ( k_3, (ho_10 k_9 (ho_4 (ho_10 k_9 skv_13) skv_14)) ) 0.83/1.02 ( k_3, (ho_10 k_9 (ho_4 k_3 skv_14)) ) 0.83/1.02 ( (ho_10 k_9 skv_13), k_3 ) 0.83/1.02 ( (ho_10 k_9 skv_13), (ho_10 k_9 (ho_4 (ho_10 k_9 skv_13) skv_14)) ) 0.83/1.02 ( (ho_10 k_9 skv_13), (ho_10 k_9 (ho_4 k_3 skv_14)) ) 0.83/1.02 ( (ho_10 k_9 (ho_4 (ho_10 k_9 skv_13) skv_14)), k_3 ) 0.83/1.02 ( (ho_10 k_9 (ho_4 (ho_10 k_9 skv_13) skv_14)), (ho_10 k_9 skv_13) ) 0.83/1.02 ( (ho_10 k_9 (ho_4 (ho_10 k_9 skv_13) skv_14)), (ho_10 k_9 (ho_4 k_3 skv_14)) ) 0.83/1.02 ) 0.83/1.02 % SZS output end Proof for theBenchmark 0.83/1.02 EOF