0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : do_CVC4 %s %d 0.13/0.35 % Computer : n028.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Thu Jul 2 06:55:06 EDT 2020 0.13/0.35 % CPUTime : 0.20/0.49 %----Proving TH0 0.20/0.50 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.20/0.50 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.37/0.59 % SZS status Theorem for theBenchmark 0.37/0.59 % SZS output start Proof for theBenchmark 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_561 |u_(-> _u_(-> b Bool)_ Bool)|)) (or (not (forall ((BOUND_VARIABLE_579 |u_(-> b Bool)|)) (or (not (ho_5 BOUND_VARIABLE_561 BOUND_VARIABLE_579)) (and (ho_5 k_8 BOUND_VARIABLE_579) (ho_5 k_10 BOUND_VARIABLE_579))) )) (and (ho_5 k_10 (ho_7 k_9 BOUND_VARIABLE_561)) (ho_5 k_8 (ho_7 k_6 BOUND_VARIABLE_561)))) ) 0.37/0.59 ( skv_14 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_681 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_681)) (ho_11 BOUND_VARIABLE_681 e_b_15)) ) 0.37/0.59 ( skv_16 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_615 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_615)) (ho_5 k_10 BOUND_VARIABLE_615)) ) 0.37/0.59 ( skv_17 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_599 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_599)) (ho_5 k_8 BOUND_VARIABLE_599)) ) 0.37/0.59 ( skv_18 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((z b)) (= (ho_11 (ho_7 k_9 skv_14) z) (ho_11 (ho_7 k_6 skv_14) z)) ) 0.37/0.59 ( skv_19 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((z |u_(-> _u_(-> b Bool)_ Bool)|)) (= (ho_7 k_9 z) (ho_7 k_6 z)) ) 0.37/0.59 ( skv_20 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((z |u_(-> b Bool)|)) (= (ho_5 skv_14 z) (ho_5 k_10 z)) ) 0.37/0.59 ( skv_21 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_681 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_681)) (ho_11 BOUND_VARIABLE_681 skv_19)) ) 0.37/0.59 ( skv_22 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_681 |u_(-> b Bool)|)) (or (not (ho_5 skv_20 BOUND_VARIABLE_681)) (ho_11 BOUND_VARIABLE_681 e_b_15)) ) 0.37/0.59 ( skv_23 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_615 |u_(-> b Bool)|)) (or (not (ho_5 skv_20 BOUND_VARIABLE_615)) (ho_5 k_10 BOUND_VARIABLE_615)) ) 0.37/0.59 ( skv_24 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_599 |u_(-> b Bool)|)) (or (not (ho_5 skv_20 BOUND_VARIABLE_599)) (ho_5 k_8 BOUND_VARIABLE_599)) ) 0.37/0.59 ( skv_25 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((z b)) (= (ho_11 (ho_7 k_9 skv_14) z) (ho_11 (ho_7 k_12 skv_14) z)) ) 0.37/0.59 ( skv_26 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((z |u_(-> _u_(-> b Bool)_ Bool)|)) (= (ho_7 k_9 z) (ho_7 k_12 z)) ) 0.37/0.59 ( skv_27 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_647 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_647)) (ho_11 BOUND_VARIABLE_647 skv_26)) ) 0.37/0.59 ( skv_28 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_599 |u_(-> b Bool)|)) (or (not (ho_5 skv_27 BOUND_VARIABLE_599)) (ho_5 k_8 BOUND_VARIABLE_599)) ) 0.37/0.59 ( skv_29 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_647 |u_(-> b Bool)|)) (or (not (ho_5 skv_27 BOUND_VARIABLE_647)) (ho_11 BOUND_VARIABLE_647 e_b_15)) ) 0.37/0.59 ( skv_30 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_615 |u_(-> b Bool)|)) (or (not (ho_5 skv_27 BOUND_VARIABLE_615)) (ho_5 k_10 BOUND_VARIABLE_615)) ) 0.37/0.59 ( skv_31 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((z b)) (= (ho_11 (ho_7 k_9 skv_14) z) (ho_11 (ho_7 k_13 skv_14) z)) ) 0.37/0.59 ( skv_32 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((z |u_(-> _u_(-> b Bool)_ Bool)|)) (= (ho_7 k_6 z) (ho_7 k_12 z)) ) 0.37/0.59 ( skv_33 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((z |u_(-> b Bool)|)) (= (ho_5 skv_14 z) (ho_5 k_8 z)) ) 0.37/0.59 ( skv_34 ) 0.37/0.59 ) 0.37/0.59 (skolem (forall ((BOUND_VARIABLE_599 |u_(-> b Bool)|)) (or (not (ho_5 k_10 BOUND_VARIABLE_599)) (ho_5 k_8 BOUND_VARIABLE_599)) ) 0.37/0.59 ( skv_35 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_595 |u_(-> _u_(-> b Bool)_ Bool)|)) (or (not (forall ((BOUND_VARIABLE_599 |u_(-> b Bool)|)) (or (not (ho_5 BOUND_VARIABLE_595 BOUND_VARIABLE_599)) (ho_5 k_8 BOUND_VARIABLE_599)) )) (ho_5 k_8 (ho_7 k_12 BOUND_VARIABLE_595))) ) 0.37/0.59 ( k_10 ) 0.37/0.59 ( skv_14 ) 0.37/0.59 ( skv_20 ) 0.37/0.59 ( skv_27 ) 0.37/0.59 ( skv_33 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_611 |u_(-> _u_(-> b Bool)_ Bool)|)) (or (not (forall ((BOUND_VARIABLE_615 |u_(-> b Bool)|)) (or (not (ho_5 BOUND_VARIABLE_611 BOUND_VARIABLE_615)) (ho_5 k_10 BOUND_VARIABLE_615)) )) (ho_5 k_10 (ho_7 k_13 BOUND_VARIABLE_611))) ) 0.37/0.59 ( skv_14 ) 0.37/0.59 ( skv_20 ) 0.37/0.59 ( skv_27 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_633 |u_(-> _u_(-> b Bool)_ Bool)|) (BOUND_VARIABLE_544 b)) (= (ho_11 (ho_7 k_13 BOUND_VARIABLE_633) BOUND_VARIABLE_544) (forall ((BOUND_VARIABLE_630 |u_(-> b Bool)|)) (or (not (ho_5 BOUND_VARIABLE_633 BOUND_VARIABLE_630)) (ho_11 BOUND_VARIABLE_630 BOUND_VARIABLE_544)) )) ) 0.37/0.59 ( skv_14, e_b_15 ) 0.37/0.59 ( skv_14, skv_32 ) 0.37/0.59 ( skv_20, e_b_15 ) 0.37/0.59 ( skv_27, e_b_15 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_650 |u_(-> _u_(-> b Bool)_ Bool)|) (BOUND_VARIABLE_533 b)) (= (ho_11 (ho_7 k_12 BOUND_VARIABLE_650) BOUND_VARIABLE_533) (forall ((BOUND_VARIABLE_647 |u_(-> b Bool)|)) (or (not (ho_5 BOUND_VARIABLE_650 BOUND_VARIABLE_647)) (ho_11 BOUND_VARIABLE_647 BOUND_VARIABLE_533)) )) ) 0.37/0.59 ( skv_14, e_b_15 ) 0.37/0.59 ( skv_14, skv_19 ) 0.37/0.59 ( skv_14, skv_26 ) 0.37/0.59 ( skv_14, skv_32 ) 0.37/0.59 ( skv_20, e_b_15 ) 0.37/0.59 ( skv_27, e_b_15 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_667 |u_(-> _u_(-> b Bool)_ Bool)|) (BOUND_VARIABLE_522 b)) (= (ho_11 (ho_7 k_9 BOUND_VARIABLE_667) BOUND_VARIABLE_522) (forall ((BOUND_VARIABLE_664 |u_(-> b Bool)|)) (or (not (ho_5 BOUND_VARIABLE_667 BOUND_VARIABLE_664)) (ho_11 BOUND_VARIABLE_664 BOUND_VARIABLE_522)) )) ) 0.37/0.59 ( skv_14, e_b_15 ) 0.37/0.59 ( skv_14, skv_19 ) 0.37/0.59 ( skv_14, skv_26 ) 0.37/0.59 ( skv_14, skv_32 ) 0.37/0.59 ( skv_20, e_b_15 ) 0.37/0.59 ( skv_27, e_b_15 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_684 |u_(-> _u_(-> b Bool)_ Bool)|) (BOUND_VARIABLE_511 b)) (= (ho_11 (ho_7 k_6 BOUND_VARIABLE_684) BOUND_VARIABLE_511) (forall ((BOUND_VARIABLE_681 |u_(-> b Bool)|)) (or (not (ho_5 BOUND_VARIABLE_684 BOUND_VARIABLE_681)) (ho_11 BOUND_VARIABLE_681 BOUND_VARIABLE_511)) )) ) 0.37/0.59 ( skv_14, e_b_15 ) 0.37/0.59 ( skv_14, skv_19 ) 0.37/0.59 ( skv_14, skv_26 ) 0.37/0.59 ( skv_14, skv_32 ) 0.37/0.59 ( skv_20, e_b_15 ) 0.37/0.59 ( skv_27, e_b_15 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((x |u_(-> b Bool)|) (y |u_(-> b Bool)|)) (or (not (forall ((z b)) (= (ho_11 x z) (ho_11 y z)) )) (= x y)) ) 0.37/0.59 ( (ho_7 k_9 skv_14), (ho_7 k_6 skv_14) ) 0.37/0.59 ( (ho_7 k_9 skv_14), (ho_7 k_12 skv_14) ) 0.37/0.59 ( (ho_7 k_9 skv_14), (ho_7 k_13 skv_14) ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((x |u_(-> _u_(-> _u_(-> b Bool)_ Bool)_ b Bool)|) (y |u_(-> _u_(-> _u_(-> b Bool)_ Bool)_ b Bool)|)) (or (not (forall ((z |u_(-> _u_(-> b Bool)_ Bool)|)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) ) 0.37/0.59 ( k_6, k_9 ) 0.37/0.59 ( k_6, k_12 ) 0.37/0.59 ( k_9, k_6 ) 0.37/0.59 ( k_9, k_12 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((x |u_(-> _u_(-> b Bool)_ Bool)|) (y |u_(-> _u_(-> b Bool)_ Bool)|)) (or (not (forall ((z |u_(-> b Bool)|)) (= (ho_5 x z) (ho_5 y z)) )) (= x y)) ) 0.37/0.59 ( k_10, skv_14 ) 0.37/0.59 ( skv_14, k_8 ) 0.37/0.59 ( skv_14, k_10 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_579 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_579)) (and (ho_5 k_8 BOUND_VARIABLE_579) (ho_5 k_10 BOUND_VARIABLE_579))) ) 0.37/0.59 ( (ho_7 k_9 skv_14) ) 0.37/0.59 ( (ho_7 k_6 skv_14) ) 0.37/0.59 ( (ho_7 k_12 skv_14) ) 0.37/0.59 ( (ho_7 k_13 skv_14) ) 0.37/0.59 ( skv_16 ) 0.37/0.59 ( skv_17 ) 0.37/0.59 ( skv_18 ) 0.37/0.59 ( (ho_7 k_6 skv_20) ) 0.37/0.59 ( skv_22 ) 0.37/0.59 ( (ho_7 k_12 skv_20) ) 0.37/0.59 ( (ho_7 k_13 skv_20) ) 0.37/0.59 ( skv_23 ) 0.37/0.59 ( skv_24 ) 0.37/0.59 ( skv_25 ) 0.37/0.59 ( (ho_7 k_12 skv_27) ) 0.37/0.59 ( skv_28 ) 0.37/0.59 ( skv_29 ) 0.37/0.59 ( (ho_7 k_13 skv_27) ) 0.37/0.59 ( (ho_7 k_12 k_10) ) 0.37/0.59 ( skv_31 ) 0.37/0.59 ( skv_35 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_615 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_615)) (ho_5 k_10 BOUND_VARIABLE_615)) ) 0.37/0.59 ( skv_16 ) 0.37/0.59 ( (ho_7 k_6 skv_20) ) 0.37/0.59 ( skv_22 ) 0.37/0.59 ( (ho_7 k_13 skv_20) ) 0.37/0.59 ( skv_23 ) 0.37/0.59 ( skv_24 ) 0.37/0.59 ( skv_28 ) 0.37/0.59 ( (ho_7 k_13 skv_27) ) 0.37/0.59 ( skv_31 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_599 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_599)) (ho_5 k_8 BOUND_VARIABLE_599)) ) 0.37/0.59 ( skv_16 ) 0.37/0.59 ( (ho_7 k_6 skv_20) ) 0.37/0.59 ( skv_22 ) 0.37/0.59 ( (ho_7 k_12 skv_20) ) 0.37/0.59 ( skv_23 ) 0.37/0.59 ( skv_25 ) 0.37/0.59 ( (ho_7 k_12 skv_27) ) 0.37/0.59 ( skv_28 ) 0.37/0.59 ( skv_29 ) 0.37/0.59 ( (ho_7 k_12 k_10) ) 0.37/0.59 ( skv_35 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_681 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_681)) (ho_11 BOUND_VARIABLE_681 skv_19)) ) 0.37/0.59 ( skv_16 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_647 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_647)) (ho_11 BOUND_VARIABLE_647 skv_26)) ) 0.37/0.59 ( skv_16 ) 0.37/0.59 ( skv_22 ) 0.37/0.59 ) 0.37/0.59 (instantiation (forall ((BOUND_VARIABLE_630 |u_(-> b Bool)|)) (or (not (ho_5 skv_14 BOUND_VARIABLE_630)) (ho_11 BOUND_VARIABLE_630 skv_32)) ) 0.37/0.59 ( skv_16 ) 0.37/0.59 ( skv_22 ) 0.37/0.59 ( skv_28 ) 0.37/0.59 ) 0.37/0.59 % SZS output end Proof for theBenchmark 0.37/0.60 EOF