0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : do_CVC4 %s %d 0.14/0.35 % Computer : n004.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Thu Jul 2 08:05:43 EDT 2020 0.14/0.35 % CPUTime : 0.20/0.48 %----Proving TH0 0.20/0.49 ------- cvc4-thf casc j10 : /export/starexec/sandbox/benchmark/theBenchmark.p at 960... 0.20/0.49 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.20/0.55 % SZS status Theorem for theBenchmark 0.20/0.56 % SZS output start Proof for theBenchmark 0.20/0.56 (skolem (forall ((Xx iS) (Xy iS) (Xu iS) (Xv iS) (BOUND_VARIABLE_827 |u_(-> iS iS iS Bool)|)) (let ((_let_0 (ho_2 k_1 Xy))) (let ((_let_1 (ho_3 _let_0 Xv))) (or (not (forall ((BOUND_VARIABLE_932 |u_(-> iS iS iS Bool)|)) (or (not (forall ((Xa iS) (Xb iS) (Xc iS) (BOUND_VARIABLE_630 iS) (BOUND_VARIABLE_631 iS) (BOUND_VARIABLE_632 iS) (BOUND_VARIABLE_633 iS) (BOUND_VARIABLE_634 iS) (BOUND_VARIABLE_635 iS)) (or (and (or (not (= Xa Xc)) (not (= c0 Xb))) (or (not (= Xa (ho_3 (ho_2 k_1 BOUND_VARIABLE_630) BOUND_VARIABLE_631))) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_932 BOUND_VARIABLE_631) BOUND_VARIABLE_633) BOUND_VARIABLE_635)) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_932 BOUND_VARIABLE_630) BOUND_VARIABLE_632) BOUND_VARIABLE_634)) (not (= Xc (ho_3 (ho_2 k_1 BOUND_VARIABLE_634) BOUND_VARIABLE_635))) (not (= Xb (ho_3 (ho_2 k_1 BOUND_VARIABLE_632) BOUND_VARIABLE_633)))) (or (not (= c0 Xa)) (not (= Xb Xc)))) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_932 Xa) Xb) Xc)) )) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_932 Xu) Xv) Xv)) )) (not (forall ((BOUND_VARIABLE_884 |u_(-> iS iS iS Bool)|)) (or (not (forall ((Xa iS) (Xb iS) (Xc iS) (BOUND_VARIABLE_689 iS) (BOUND_VARIABLE_690 iS) (BOUND_VARIABLE_691 iS) (BOUND_VARIABLE_692 iS) (BOUND_VARIABLE_693 iS) (BOUND_VARIABLE_694 iS)) (or (and (or (not (= Xa Xc)) (not (= c0 Xb))) (or (not (= Xa (ho_3 (ho_2 k_1 BOUND_VARIABLE_689) BOUND_VARIABLE_690))) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_884 BOUND_VARIABLE_689) BOUND_VARIABLE_691) BOUND_VARIABLE_693)) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_884 BOUND_VARIABLE_690) BOUND_VARIABLE_692) BOUND_VARIABLE_694)) (not (= Xc (ho_3 (ho_2 k_1 BOUND_VARIABLE_693) BOUND_VARIABLE_694))) (not (= Xb (ho_3 (ho_2 k_1 BOUND_VARIABLE_691) BOUND_VARIABLE_692)))) (or (not (= Xb Xc)) (not (= c0 Xa)))) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_884 Xa) Xb) Xc)) )) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_884 Xx) Xy) Xy)) )) (not (forall ((Xa iS) (Xb iS) (Xc iS) (BOUND_VARIABLE_749 iS) (BOUND_VARIABLE_750 iS) (BOUND_VARIABLE_751 iS) (BOUND_VARIABLE_752 iS) (BOUND_VARIABLE_753 iS) (BOUND_VARIABLE_754 iS)) (or (and (or (not (= c0 Xa)) (not (= Xb Xc))) (or (not (= Xa (ho_3 (ho_2 k_1 BOUND_VARIABLE_749) BOUND_VARIABLE_750))) (not (= Xb (ho_3 (ho_2 k_1 BOUND_VARIABLE_751) BOUND_VARIABLE_752))) (not (= Xc (ho_3 (ho_2 k_1 BOUND_VARIABLE_753) BOUND_VARIABLE_754))) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_827 BOUND_VARIABLE_750) BOUND_VARIABLE_752) BOUND_VARIABLE_754)) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_827 BOUND_VARIABLE_749) BOUND_VARIABLE_751) BOUND_VARIABLE_753))) (or (not (= Xa Xc)) (not (= c0 Xb)))) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_827 Xa) Xb) Xc)) )) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_827 (ho_3 (ho_2 k_1 Xx) Xu)) _let_1) _let_1)))) ) 0.20/0.56 ( skv_7 skv_8 skv_9 skv_10 skv_11 ) 0.20/0.56 ) 0.20/0.56 (skolem (forall ((Xx iS) (Xy iS)) (let ((_let_0 (ho_2 k_1 skv_7))) (let ((_let_1 (ho_3 _let_0 skv_9))) (let ((_let_2 (ho_4 skv_11 _let_1))) (let ((_let_3 (ho_2 k_1 skv_8))) (let ((_let_4 (ho_3 _let_3 skv_10))) (let ((_let_5 (ho_5 _let_2 _let_4))) (or (not (ho_6 _let_5 Xx)) (not (ho_6 _let_5 Xy)) (ho_6 _let_5 (ho_3 (ho_2 k_1 Xx) Xy))))))))) ) 0.20/0.56 ( skv_12 skv_13 ) 0.20/0.56 ) 0.20/0.56 (skolem (forall ((Xx iS) (Xy iS)) (let ((_let_0 (ho_4 skv_11 skv_10))) (let ((_let_1 (ho_5 _let_0 skv_10))) (or (not (ho_6 _let_1 Xx)) (not (ho_6 _let_1 Xy)) (ho_6 _let_1 (ho_3 (ho_2 k_1 Xx) Xy))))) ) 0.20/0.56 ( skv_14 skv_15 ) 0.20/0.56 ) 0.20/0.56 (skolem (forall ((Xx iS) (Xy iS)) (let ((_let_0 (ho_4 skv_11 skv_8))) (let ((_let_1 (ho_5 _let_0 skv_8))) (or (not (ho_6 _let_1 Xx)) (not (ho_6 _let_1 Xy)) (ho_6 _let_1 (ho_3 (ho_2 k_1 Xx) Xy))))) ) 0.20/0.56 ( skv_16 skv_17 ) 0.20/0.56 ) 0.20/0.56 (skolem (forall ((Xx iS) (Xy iS)) (let ((_let_0 (ho_4 skv_11 skv_9))) (let ((_let_1 (ho_5 _let_0 skv_9))) (or (not (ho_6 _let_1 Xx)) (not (ho_6 _let_1 Xy)) (ho_6 _let_1 (ho_3 (ho_2 k_1 Xx) Xy))))) ) 0.20/0.56 ( skv_18 skv_19 ) 0.20/0.56 ) 0.20/0.56 (skolem (forall ((Xx iS) (Xy iS)) (let ((_let_0 (ho_4 skv_11 skv_7))) (let ((_let_1 (ho_5 _let_0 skv_7))) (or (not (ho_6 _let_1 Xx)) (not (ho_6 _let_1 Xy)) (ho_6 _let_1 (ho_3 (ho_2 k_1 Xx) Xy))))) ) 0.20/0.56 ( skv_20 skv_21 ) 0.20/0.56 ) 0.20/0.56 (skolem (forall ((Xx iS) (Xy iS)) (let ((_let_0 (ho_4 skv_11 skv_13))) (let ((_let_1 (ho_5 _let_0 skv_13))) (or (not (ho_6 _let_1 Xx)) (not (ho_6 _let_1 Xy)) (ho_6 _let_1 (ho_3 (ho_2 k_1 Xx) Xy))))) ) 0.20/0.56 ( skv_22 skv_23 ) 0.20/0.56 ) 0.20/0.56 (skolem (forall ((Xx iS) (Xy iS)) (let ((_let_0 (ho_4 skv_11 skv_12))) (let ((_let_1 (ho_5 _let_0 skv_12))) (or (not (ho_6 _let_1 Xx)) (not (ho_6 _let_1 Xy)) (ho_6 _let_1 (ho_3 (ho_2 k_1 Xx) Xy))))) ) 0.20/0.56 ( skv_24 skv_25 ) 0.20/0.56 ) 0.20/0.56 (skolem (forall ((Xa iS) (Xb iS) (Xc iS) (BOUND_VARIABLE_630 iS) (BOUND_VARIABLE_631 iS) (BOUND_VARIABLE_632 iS) (BOUND_VARIABLE_633 iS) (BOUND_VARIABLE_634 iS) (BOUND_VARIABLE_635 iS)) (or (and (or (not (= Xa Xc)) (not (= c0 Xb))) (or (not (= Xa (ho_3 (ho_2 k_1 BOUND_VARIABLE_630) BOUND_VARIABLE_631))) (not (ho_6 (ho_5 (ho_4 skv_11 BOUND_VARIABLE_631) BOUND_VARIABLE_633) BOUND_VARIABLE_635)) (not (ho_6 (ho_5 (ho_4 skv_11 BOUND_VARIABLE_630) BOUND_VARIABLE_632) BOUND_VARIABLE_634)) (not (= Xc (ho_3 (ho_2 k_1 BOUND_VARIABLE_634) BOUND_VARIABLE_635))) (not (= Xb (ho_3 (ho_2 k_1 BOUND_VARIABLE_632) BOUND_VARIABLE_633)))) (or (not (= c0 Xa)) (not (= Xb Xc)))) (ho_6 (ho_5 (ho_4 skv_11 Xa) Xb) Xc)) ) 0.20/0.56 ( skv_26 skv_27 skv_28 skv_29 skv_30 skv_31 skv_32 skv_33 skv_34 ) 0.20/0.56 ) 0.20/0.56 (skolem (forall ((Xa iS) (Xb iS) (Xc iS) (BOUND_VARIABLE_689 iS) (BOUND_VARIABLE_690 iS) (BOUND_VARIABLE_691 iS) (BOUND_VARIABLE_692 iS) (BOUND_VARIABLE_693 iS) (BOUND_VARIABLE_694 iS)) (or (and (or (not (= Xa Xc)) (not (= c0 Xb))) (or (not (= Xa (ho_3 (ho_2 k_1 BOUND_VARIABLE_689) BOUND_VARIABLE_690))) (not (ho_6 (ho_5 (ho_4 skv_11 BOUND_VARIABLE_689) BOUND_VARIABLE_691) BOUND_VARIABLE_693)) (not (ho_6 (ho_5 (ho_4 skv_11 BOUND_VARIABLE_690) BOUND_VARIABLE_692) BOUND_VARIABLE_694)) (not (= Xc (ho_3 (ho_2 k_1 BOUND_VARIABLE_693) BOUND_VARIABLE_694))) (not (= Xb (ho_3 (ho_2 k_1 BOUND_VARIABLE_691) BOUND_VARIABLE_692)))) (or (not (= Xb Xc)) (not (= c0 Xa)))) (ho_6 (ho_5 (ho_4 skv_11 Xa) Xb) Xc)) ) 0.20/0.56 ( skv_35 skv_36 skv_37 skv_38 skv_39 skv_40 skv_41 skv_42 skv_43 ) 0.20/0.56 ) 0.20/0.56 (instantiation (forall ((BOUND_VARIABLE_992 |u_(-> iS Bool)|) (BOUND_VARIABLE_588 iS)) (or (not (forall ((Xx iS) (Xy iS)) (or (not (ho_6 BOUND_VARIABLE_992 Xx)) (not (ho_6 BOUND_VARIABLE_992 Xy)) (ho_6 BOUND_VARIABLE_992 (ho_3 (ho_2 k_1 Xx) Xy))) )) (not (ho_6 BOUND_VARIABLE_992 c0)) (ho_6 BOUND_VARIABLE_992 BOUND_VARIABLE_588)) ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 (ho_3 (ho_2 k_1 skv_7) skv_9)) (ho_3 (ho_2 k_1 skv_8) skv_10)), c0 ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 (ho_3 (ho_2 k_1 skv_7) skv_9)) (ho_3 (ho_2 k_1 skv_8) skv_10)), (ho_3 (ho_2 k_1 skv_8) skv_10) ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 (ho_3 (ho_2 k_1 skv_7) skv_9)) (ho_3 (ho_2 k_1 skv_8) skv_10)), (ho_3 (ho_2 k_1 skv_12) skv_13) ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_10) skv_10), c0 ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_10) skv_10), skv_10 ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_10) skv_10), (ho_3 (ho_2 k_1 skv_14) skv_15) ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_8) skv_8), c0 ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_8) skv_8), skv_8 ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_8) skv_8), (ho_3 (ho_2 k_1 skv_16) skv_17) ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_9) skv_9), skv_9 ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_7) skv_7), skv_7 ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_13) skv_13), skv_13 ) 0.20/0.56 ( (ho_5 (ho_4 skv_11 skv_12) skv_12), skv_12 ) 0.20/0.56 ) 0.20/0.56 (instantiation (forall ((Xx iS) (Xy iS)) (not (= c0 (ho_3 (ho_2 k_1 Xx) Xy))) ) 0.20/0.56 ( skv_7, skv_9 ) 0.20/0.56 ( skv_8, skv_10 ) 0.20/0.56 ( skv_12, skv_13 ) 0.20/0.56 ( skv_14, skv_15 ) 0.20/0.56 ( skv_16, skv_17 ) 0.20/0.56 ) 0.20/0.56 (instantiation (forall ((Xx iS) (Xy iS) (Xu iS) (Xv iS)) (or (not (= (ho_3 (ho_2 k_1 Xx) Xu) (ho_3 (ho_2 k_1 Xy) Xv))) (and (= Xx Xy) (= Xu Xv))) ) 0.20/0.56 ( skv_7, skv_8, skv_9, skv_10 ) 0.20/0.56 ( skv_7, skv_16, skv_9, skv_17 ) 0.20/0.56 ( skv_8, skv_7, skv_10, skv_9 ) 0.20/0.56 ( skv_8, skv_12, skv_10, skv_13 ) 0.20/0.56 ( skv_8, skv_14, skv_10, skv_15 ) 0.20/0.56 ( skv_12, skv_7, skv_13, skv_9 ) 0.20/0.56 ( skv_12, skv_8, skv_13, skv_10 ) 0.20/0.56 ( skv_14, skv_7, skv_15, skv_9 ) 0.20/0.56 ( skv_14, skv_8, skv_15, skv_10 ) 0.20/0.56 ( skv_16, skv_8, skv_17, skv_10 ) 0.20/0.56 ) 0.20/0.56 (instantiation (forall ((BOUND_VARIABLE_932 |u_(-> iS iS iS Bool)|)) (or (not (forall ((Xa iS) (Xb iS) (Xc iS) (BOUND_VARIABLE_630 iS) (BOUND_VARIABLE_631 iS) (BOUND_VARIABLE_632 iS) (BOUND_VARIABLE_633 iS) (BOUND_VARIABLE_634 iS) (BOUND_VARIABLE_635 iS)) (or (and (or (not (= Xa Xc)) (not (= c0 Xb))) (or (not (= Xa (ho_3 (ho_2 k_1 BOUND_VARIABLE_630) BOUND_VARIABLE_631))) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_932 BOUND_VARIABLE_631) BOUND_VARIABLE_633) BOUND_VARIABLE_635)) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_932 BOUND_VARIABLE_630) BOUND_VARIABLE_632) BOUND_VARIABLE_634)) (not (= Xc (ho_3 (ho_2 k_1 BOUND_VARIABLE_634) BOUND_VARIABLE_635))) (not (= Xb (ho_3 (ho_2 k_1 BOUND_VARIABLE_632) BOUND_VARIABLE_633)))) (or (not (= c0 Xa)) (not (= Xb Xc)))) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_932 Xa) Xb) Xc)) )) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_932 skv_9) skv_10) skv_10)) ) 0.20/0.56 ( skv_11 ) 0.20/0.56 ) 0.20/0.56 (instantiation (forall ((BOUND_VARIABLE_884 |u_(-> iS iS iS Bool)|)) (or (not (forall ((Xa iS) (Xb iS) (Xc iS) (BOUND_VARIABLE_689 iS) (BOUND_VARIABLE_690 iS) (BOUND_VARIABLE_691 iS) (BOUND_VARIABLE_692 iS) (BOUND_VARIABLE_693 iS) (BOUND_VARIABLE_694 iS)) (or (and (or (not (= Xa Xc)) (not (= c0 Xb))) (or (not (= Xa (ho_3 (ho_2 k_1 BOUND_VARIABLE_689) BOUND_VARIABLE_690))) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_884 BOUND_VARIABLE_689) BOUND_VARIABLE_691) BOUND_VARIABLE_693)) (not (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_884 BOUND_VARIABLE_690) BOUND_VARIABLE_692) BOUND_VARIABLE_694)) (not (= Xc (ho_3 (ho_2 k_1 BOUND_VARIABLE_693) BOUND_VARIABLE_694))) (not (= Xb (ho_3 (ho_2 k_1 BOUND_VARIABLE_691) BOUND_VARIABLE_692)))) (or (not (= Xb Xc)) (not (= c0 Xa)))) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_884 Xa) Xb) Xc)) )) (ho_6 (ho_5 (ho_4 BOUND_VARIABLE_884 skv_7) skv_8) skv_8)) ) 0.20/0.56 ( skv_11 ) 0.20/0.56 ) 0.20/0.56 (instantiation (forall ((Xa iS) (Xb iS) (Xc iS) (BOUND_VARIABLE_749 iS) (BOUND_VARIABLE_750 iS) (BOUND_VARIABLE_751 iS) (BOUND_VARIABLE_752 iS) (BOUND_VARIABLE_753 iS) (BOUND_VARIABLE_754 iS)) (or (and (or (not (= c0 Xa)) (not (= Xb Xc))) (or (not (= Xa (ho_3 (ho_2 k_1 BOUND_VARIABLE_749) BOUND_VARIABLE_750))) (not (= Xb (ho_3 (ho_2 k_1 BOUND_VARIABLE_751) BOUND_VARIABLE_752))) (not (= Xc (ho_3 (ho_2 k_1 BOUND_VARIABLE_753) BOUND_VARIABLE_754))) (not (ho_6 (ho_5 (ho_4 skv_11 BOUND_VARIABLE_750) BOUND_VARIABLE_752) BOUND_VARIABLE_754)) (not (ho_6 (ho_5 (ho_4 skv_11 BOUND_VARIABLE_749) BOUND_VARIABLE_751) BOUND_VARIABLE_753))) (or (not (= Xa Xc)) (not (= c0 Xb)))) (ho_6 (ho_5 (ho_4 skv_11 Xa) Xb) Xc)) ) 0.20/0.56 ( skv_8, skv_8, skv_8, skv_7, skv_9, skv_7, skv_9, skv_7, skv_9 ) 0.20/0.56 ( skv_8, skv_8, skv_8, skv_8, skv_10, skv_8, skv_10, skv_8, skv_10 ) 0.20/0.56 ( skv_9, skv_9, skv_9, skv_12, skv_13, skv_12, skv_13, skv_12, skv_13 ) 0.20/0.56 ( skv_10, skv_10, skv_10, skv_7, skv_9, skv_7, skv_9, skv_7, skv_9 ) 0.20/0.56 ( skv_10, skv_10, skv_10, skv_8, skv_10, skv_8, skv_10, skv_8, skv_10 ) 0.20/0.56 ( (ho_3 (ho_2 k_1 skv_7) skv_9), (ho_3 (ho_2 k_1 skv_8) skv_10), c0, skv_16, skv_17, skv_16, skv_17, skv_16, skv_17 ) 0.20/0.56 ( (ho_3 (ho_2 k_1 skv_7) skv_9), (ho_3 (ho_2 k_1 skv_8) skv_10), (ho_3 (ho_2 k_1 skv_8) skv_10), skv_7, skv_9, skv_8, skv_10, skv_8, skv_10 ) 0.20/0.56 ( (ho_3 (ho_2 k_1 skv_7) skv_9), (ho_3 (ho_2 k_1 skv_8) skv_10), (ho_3 (ho_2 k_1 skv_8) skv_10), skv_8, skv_10, skv_8, skv_10, skv_8, skv_10 ) 0.20/0.56 ( (ho_3 (ho_2 k_1 skv_7) skv_9), (ho_3 (ho_2 k_1 skv_8) skv_10), (ho_3 (ho_2 k_1 skv_8) skv_10), skv_12, skv_13, skv_12, skv_13, skv_12, skv_13 ) 0.20/0.56 ( (ho_3 (ho_2 k_1 skv_7) skv_9), (ho_3 (ho_2 k_1 skv_8) skv_10), (ho_3 (ho_2 k_1 skv_8) skv_10), skv_14, skv_15, skv_14, skv_15, skv_14, skv_15 ) 0.20/0.56 ( skv_26, skv_27, skv_28, skv_10, skv_10, skv_10, skv_10, skv_10, skv_10 ) 0.20/0.56 ( skv_26, skv_27, skv_28, skv_29, skv_30, skv_31, skv_32, skv_33, skv_34 ) 0.20/0.56 ( skv_35, skv_36, skv_37, skv_10, skv_10, skv_10, skv_10, skv_10, skv_10 ) 0.20/0.56 ( skv_35, skv_36, skv_37, skv_38, skv_39, skv_40, skv_41, skv_42, skv_43 ) 0.20/0.56 ) 0.20/0.56 % SZS output end Proof for theBenchmark 0.20/0.56 EOF