0.07/0.13 % Problem : Vampire---4.8_17414 : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : do_cvc5 %s %d 0.14/0.35 % Computer : n002.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 : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 13:25:22 EDT 2023 0.14/0.35 % CPUTime : 0.21/0.49 %----Proving TH0 0.21/0.51 thf(a_type,type, 0.21/0.51 a: $tType ). 0.21/0.51 0.21/0.51 thf(b_type,type, 0.21/0.51 b: $tType ). 0.21/0.51 0.21/0.51 thf(cTHM516_pme,conjecture, 0.21/0.51 ! [Xp: a > a > $o,Xq: a > a > $o,Xr: a > b > b > $o] : 0.21/0.51 ( ( ! [Xx: a,Xy: a,Xz: a] : 0.21/0.51 ( ( ( Xp @ Xy @ Xz ) 0.21/0.51 & ( Xp @ Xx @ Xy ) ) 0.21/0.51 => ( Xp @ Xx @ Xz ) ) 0.21/0.51 & ( Xp = Xq ) 0.21/0.51 & ! [Xx: a,Xy: a] : 0.21/0.51 ( ( Xp @ Xx @ Xy ) 0.21/0.51 => ( Xp @ Xy @ Xx ) ) ) 0.21/0.51 => ( ! [Xx: a,Xy: a] : 0.21/0.51 ( ( ( ( Xr @ Xx ) 0.21/0.51 = ( Xr @ Xy ) ) 0.21/0.51 & ! [Xx0: b,Xy0: b,Xz: b] : 0.21/0.51 ( ( ( Xr @ Xx @ Xx0 @ Xy0 ) 0.21/0.51 & ( Xr @ Xx @ Xy0 @ Xz ) ) 0.21/0.51 => ( Xr @ Xx @ Xx0 @ Xz ) ) 0.21/0.51 & ! [Xx0: b,Xy0: b] : 0.21/0.51 ( ( Xr @ Xx @ Xy0 @ Xx0 ) 0.21/0.51 <= ( Xr @ Xx @ Xx0 @ Xy0 ) ) ) 0.21/0.51 <= ( Xp @ Xx @ Xy ) ) 0.21/0.51 => ( ! [Xx: a > b,Xy: a > b,Xz: a > b] : 0.21/0.51 ( ! [Xx0: a,Xy0: a] : 0.21/0.51 ( ( Xp @ Xx0 @ Xy0 ) 0.21/0.51 => ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) 0.21/0.51 <= ( ! [Xx0: a,Xy0: a] : 0.21/0.51 ( ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) 0.21/0.51 <= ( Xp @ Xx0 @ Xy0 ) ) 0.21/0.51 & ! [Xx0: a,Xy0: a] : 0.21/0.51 ( ( Xp @ Xx0 @ Xy0 ) 0.21/0.51 => ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) ) 0.21/0.51 & ( ( ^ [Xf: a > b,Xg: a > b] : 0.21/0.51 ! [Xx: a,Xy: a] : 0.21/0.51 ( ( Xp @ Xx @ Xy ) 0.21/0.51 => ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) 0.21/0.51 = ( ^ [Xf: a > b,Xg: a > b] : 0.21/0.51 ! [Xx: a,Xy: a] : 0.21/0.51 ( ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) 0.21/0.51 <= ( Xq @ Xx @ Xy ) ) ) ) 0.21/0.51 & ! [Xx: a > b,Xy: a > b] : 0.21/0.51 ( ! [Xx0: a,Xy0: a] : 0.21/0.51 ( ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) 0.21/0.51 <= ( Xp @ Xx0 @ Xy0 ) ) 0.21/0.51 <= ! [Xx0: a,Xy0: a] : 0.21/0.51 ( ( Xp @ Xx0 @ Xy0 ) 0.21/0.51 => ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) ) ) ) ). 0.21/0.51 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.LNnXcdU7M4/cvc5---1.0.5_17659.p... 0.21/0.51 (declare-sort $$unsorted 0) 0.21/0.51 (declare-sort tptp.a 0) 0.21/0.51 (declare-sort tptp.b 0) 0.21/0.51 (assert (not (forall ((Xp (-> tptp.a tptp.a Bool)) (Xq (-> tptp.a tptp.a Bool)) (Xr (-> tptp.a tptp.b tptp.b Bool))) (=> (and (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ (@ Xp Xy) Xz) (@ _let_1 Xy)) (@ _let_1 Xz)))) (= Xp Xq) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx)))) (=> (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (and (= (@ Xr Xx) (@ Xr Xy)) (forall ((Xx0 tptp.b) (Xy0 tptp.b) (Xz tptp.b)) (let ((_let_1 (@ Xr Xx))) (let ((_let_2 (@ _let_1 Xx0))) (=> (and (@ _let_2 Xy0) (@ (@ _let_1 Xy0) Xz)) (@ _let_2 Xz))))) (forall ((Xx0 tptp.b) (Xy0 tptp.b)) (let ((_let_1 (@ Xr Xx))) (=> (@ (@ _let_1 Xx0) Xy0) (@ (@ _let_1 Xy0) Xx0))))))) (and (forall ((Xx (-> tptp.a tptp.b)) (Xy (-> tptp.a tptp.b)) (Xz (-> tptp.a tptp.b))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xy Xx0)) (@ Xz Xy0)))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xx Xx0)) (@ Xy Xy0))))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xx Xx0)) (@ Xz Xy0)))))) (= (lambda ((Xf (-> tptp.a tptp.b)) (Xg (-> tptp.a tptp.b))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ (@ Xr Xx) (@ Xf Xx)) (@ Xg Xy))))) (lambda ((Xf (-> tptp.a tptp.b)) (Xg (-> tptp.a tptp.b))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xq Xx) Xy) (@ (@ (@ Xr Xx) (@ Xf Xx)) (@ Xg Xy)))))) (forall ((Xx (-> tptp.a tptp.b)) (Xy (-> tptp.a tptp.b))) (=> (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xx Xx0)) (@ Xy Xy0)))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xy Xx0)) (@ Xx Xy0)))))))))))) 0.21/0.51 (set-info :filename cvc5---1.0.5_17659) 0.21/0.51 (check-sat-assuming ( true )) 0.21/0.51 ------- get file name : TPTP file name is 0.21/0.51 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17659.smt2... 0.21/0.51 --- Run --ho-elim --full-saturate-quant at 10... 41.89/42.11 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10... 41.89/42.11 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10... 41.89/42.11 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 41.89/42.11 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5... 41.89/42.11 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10... 41.89/42.11 % SZS status Theorem for 41.89/42.11 % SZS output start Proof for 41.89/42.11 ( 41.89/42.11 (let ((_let_1 (not (forall ((Xp (-> tptp.a tptp.a Bool)) (Xq (-> tptp.a tptp.a Bool)) (Xr (-> tptp.a tptp.b tptp.b Bool))) (=> (and (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ (@ Xp Xy) Xz) (@ _let_1 Xy)) (@ _let_1 Xz)))) (= Xp Xq) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx)))) (=> (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (and (= (@ Xr Xx) (@ Xr Xy)) (forall ((Xx0 tptp.b) (Xy0 tptp.b) (Xz tptp.b)) (let ((_let_1 (@ Xr Xx))) (let ((_let_2 (@ _let_1 Xx0))) (=> (and (@ _let_2 Xy0) (@ (@ _let_1 Xy0) Xz)) (@ _let_2 Xz))))) (forall ((Xx0 tptp.b) (Xy0 tptp.b)) (let ((_let_1 (@ Xr Xx))) (=> (@ (@ _let_1 Xx0) Xy0) (@ (@ _let_1 Xy0) Xx0))))))) (and (forall ((Xx (-> tptp.a tptp.b)) (Xy (-> tptp.a tptp.b)) (Xz (-> tptp.a tptp.b))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xy Xx0)) (@ Xz Xy0)))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xx Xx0)) (@ Xy Xy0))))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xx Xx0)) (@ Xz Xy0)))))) (= (lambda ((Xf (-> tptp.a tptp.b)) (Xg (-> tptp.a tptp.b))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ (@ Xr Xx) (@ Xf Xx)) (@ Xg Xy))))) (lambda ((Xf (-> tptp.a tptp.b)) (Xg (-> tptp.a tptp.b))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xq Xx) Xy) (@ (@ (@ Xr Xx) (@ Xf Xx)) (@ Xg Xy)))))) (forall ((Xx (-> tptp.a tptp.b)) (Xy (-> tptp.a tptp.b))) (=> (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xx Xx0)) (@ Xy Xy0)))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xr Xx0) (@ Xy Xx0)) (@ Xx Xy0))))))))))))) (let ((_let_2 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_3 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_2 _let_2))) (let ((_let_4 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_5 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_4 _let_2))) (let ((_let_6 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_7 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_6 _let_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_4 _let_6))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 _let_5))) (let ((_let_12 (and _let_11 (or (not _let_3) _let_3)))) (let ((_let_13 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (forall ((Xx tptp.a) (Xy tptp.a) (BOUND_VARIABLE_792 tptp.b) (BOUND_VARIABLE_790 tptp.b) (BOUND_VARIABLE_780 tptp.b) (BOUND_VARIABLE_778 tptp.b) (BOUND_VARIABLE_776 tptp.b)) (let ((_let_1 (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx))) (let ((_let_2 (@ _let_1 BOUND_VARIABLE_776))) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xx) Xy)) (and (= _let_1 (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xy)) (or (not (@ _let_2 BOUND_VARIABLE_778)) (not (@ (@ _let_1 BOUND_VARIABLE_778) BOUND_VARIABLE_780)) (@ _let_2 BOUND_VARIABLE_780)) (or (not (@ (@ _let_1 BOUND_VARIABLE_790) BOUND_VARIABLE_792)) (@ (@ _let_1 BOUND_VARIABLE_792) BOUND_VARIABLE_790))))))))) (let ((_let_17 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_19 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_18 _let_17))) (let ((_let_20 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xx0) Xy0)) (@ (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx0) (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Xx0)) (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xy0)))))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_19))) (let ((_let_25 (= lambdaF_13 lambdaF_14))) (let ((_let_26 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_27 (not _let_26))) (let ((_let_28 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xx0) Xy0)) (@ (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx0) (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Xx0)) (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xy0)))))) (let ((_let_29 (not _let_28))) (let ((_let_30 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xx0) Xy0)) (@ (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx0) (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx0)) (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xy0)))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_27 _let_5))) (let ((_let_33 (and _let_32 _let_25 _let_24))) (let ((_let_34 (not _let_16))) (let ((_let_35 (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xx) Xy)) (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xy) Xx))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xx))) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xy) Xz)) (not (@ _let_1 Xy)) (@ _let_1 Xz)))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_34 _let_33))) (let ((_let_40 (forall ((Xq (-> tptp.a tptp.a Bool)) (Xr (-> tptp.a tptp.b tptp.b Bool)) (BOUND_VARIABLE_932 tptp.a) (BOUND_VARIABLE_930 (-> tptp.a tptp.b)) (BOUND_VARIABLE_928 (-> tptp.a tptp.b)) (BOUND_VARIABLE_903 tptp.a) (BOUND_VARIABLE_901 tptp.a) (BOUND_VARIABLE_899 (-> tptp.a tptp.b)) (BOUND_VARIABLE_897 (-> tptp.a tptp.b)) (BOUND_VARIABLE_934 tptp.a) (BOUND_VARIABLE_895 (-> tptp.a tptp.b))) (or (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xq Xx))) (or (not (@ (@ Xq Xy) Xz)) (not (@ _let_1 Xy)) (@ _let_1 Xz))))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ Xq Xx) Xy)) (@ (@ Xq Xy) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a) (BOUND_VARIABLE_792 tptp.b) (BOUND_VARIABLE_790 tptp.b) (BOUND_VARIABLE_780 tptp.b) (BOUND_VARIABLE_778 tptp.b) (BOUND_VARIABLE_776 tptp.b)) (let ((_let_1 (@ Xr Xx))) (let ((_let_2 (@ _let_1 BOUND_VARIABLE_776))) (or (not (@ (@ Xq Xx) Xy)) (and (= _let_1 (@ Xr Xy)) (or (not (@ _let_2 BOUND_VARIABLE_778)) (not (@ (@ _let_1 BOUND_VARIABLE_778) BOUND_VARIABLE_780)) (@ _let_2 BOUND_VARIABLE_780)) (or (not (@ (@ _let_1 BOUND_VARIABLE_790) BOUND_VARIABLE_792)) (@ (@ _let_1 BOUND_VARIABLE_792) BOUND_VARIABLE_790)))))))) (and (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (@ (@ Xq Xx0) Xy0)) (@ (@ (@ Xr Xx0) (@ BOUND_VARIABLE_897 Xx0)) (@ BOUND_VARIABLE_899 Xy0))))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (@ (@ Xq Xx0) Xy0)) (@ (@ (@ Xr Xx0) (@ BOUND_VARIABLE_895 Xx0)) (@ BOUND_VARIABLE_897 Xy0))))) (not (@ (@ Xq BOUND_VARIABLE_903) BOUND_VARIABLE_901)) (@ (@ (@ Xr BOUND_VARIABLE_903) (@ BOUND_VARIABLE_895 BOUND_VARIABLE_903)) (@ BOUND_VARIABLE_899 BOUND_VARIABLE_901))) (= (lambda ((Xf (-> tptp.a tptp.b)) (Xg (-> tptp.a tptp.b))) (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ Xq Xx) Xy)) (@ (@ (@ Xr Xx) (@ Xf Xx)) (@ Xg Xy))))) (lambda ((Xf (-> tptp.a tptp.b)) (Xg (-> tptp.a tptp.b))) (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ Xq Xx) Xy)) (@ (@ (@ Xr Xx) (@ Xf Xx)) (@ Xg Xy)))))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (@ (@ Xq Xx0) Xy0)) (@ (@ (@ Xr Xx0) (@ BOUND_VARIABLE_928 Xx0)) (@ BOUND_VARIABLE_930 Xy0))))) (not (@ (@ Xq BOUND_VARIABLE_934) BOUND_VARIABLE_932)) (@ (@ (@ Xr BOUND_VARIABLE_934) (@ BOUND_VARIABLE_930 BOUND_VARIABLE_934)) (@ BOUND_VARIABLE_928 BOUND_VARIABLE_932)))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (forall ((u (-> tptp.a tptp.b)) (e tptp.b) (i tptp.a)) (not (forall ((v (-> tptp.a tptp.b))) (not (forall ((ii tptp.a)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_43 (forall ((u (-> tptp.a tptp.a Bool)) (e (-> tptp.a Bool)) (i tptp.a)) (not (forall ((v (-> tptp.a tptp.a Bool))) (not (forall ((ii tptp.a)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_44 (forall ((u (-> tptp.b Bool)) (e Bool) (i tptp.b)) (not (forall ((v (-> tptp.b Bool))) (not (forall ((ii tptp.b)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_45 (forall ((u (-> tptp.b tptp.b Bool)) (e (-> tptp.b Bool)) (i tptp.b)) (not (forall ((v (-> tptp.b tptp.b Bool))) (not (forall ((ii tptp.b)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_46 (forall ((u (-> tptp.a tptp.b tptp.b Bool)) (e (-> tptp.b tptp.b Bool)) (i tptp.a)) (not (forall ((v (-> tptp.a tptp.b tptp.b Bool))) (not (forall ((ii tptp.a)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_47 (forall ((u (-> tptp.a Bool)) (e Bool) (i tptp.a)) (not (forall ((v (-> tptp.a Bool))) (not (forall ((ii tptp.a)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_48 (forall ((u (-> (-> tptp.a tptp.b) (-> tptp.a tptp.b) Bool)) (e (-> (-> tptp.a tptp.b) Bool)) (i (-> tptp.a tptp.b))) (not (forall ((v (-> (-> tptp.a tptp.b) (-> tptp.a tptp.b) Bool))) (not (forall ((ii (-> tptp.a tptp.b))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_49 (not _let_40))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or))) (let ((_let_52 (=>))) (let ((_let_53 (not))) (let ((_let_54 (and))) (let ((_let_55 (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_56 (@ _let_55 _let_18))) (let ((_let_57 (THEORY_PREPROCESS :args ((= (@ _let_56 _let_17) _let_19))))) (let ((_let_58 (@))) (let ((_let_59 (THEORY_PREPROCESS :args ((= (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_17))))) (let ((_let_60 (THEORY_PREPROCESS :args ((= (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) 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_let_101 false _let_102 false _let_95 true _let_19 false _let_20 false _let_22)) :args ((not _let_32) true _let_33 false _let_25 false _let_24)))) (let ((_let_150 (REFL :args (_let_32)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 2)) (CONG _let_150 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_51)) :args ((or _let_26 _let_32))) _let_149 :args (_let_26 true _let_32)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_27 _let_83 _let_13 (not _let_84)))) _let_151 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_27 _let_82 (not _let_87)))) _let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_89) (CONG _let_90 (CONG _let_69 _let_85 :args _let_51) :args _let_52))) _let_88 :args (_let_87 false _let_35)) :args (_let_82 false _let_26 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME :args _let_86) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_86) (CONG (REFL :args _let_86) (CONG (CONG _let_85 :args _let_53) _let_69 _let_77 :args _let_51) :args _let_52))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_51)) :args ((or _let_37 _let_39))) _let_71 :args (_let_37 true _let_39)) :args (_let_84 false _let_37)) :args (_let_13 false _let_26 false _let_82 false _let_84)))) (let ((_let_153 (not _let_11))) (let ((_let_154 (or _let_14 _let_9))) (let ((_let_155 (THEORY_PREPROCESS :args ((= (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_6))))) (let ((_let_156 (_let_28))) (let ((_let_157 (or _let_27 _let_7))) (let ((_let_158 (_let_30))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_12 0)) :args ((or _let_11 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_5 _let_8 _let_10 _let_153))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 3)) _let_149 :args ((not _let_5) true _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_27 _let_7 (not _let_157)))) _let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME :args _let_158) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xx0) Xy0) false))))) :args _let_158) (CONG (REFL :args _let_158) (CONG _let_69 (TRANS (CONG (CONG _let_66 _let_155 :args _let_58) _let_65 :args _let_58) _let_75) :args _let_51) :args _let_52))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG _let_150 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_51)) :args ((or _let_30 _let_32))) _let_149 :args (_let_30 true _let_32)) :args (_let_157 false _let_30)) :args (_let_7 false _let_26 false _let_157)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_14 _let_9 (not _let_154)))) _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME :args _let_156) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xx0) Xy0) false))))) :args _let_156) (CONG (REFL :args _let_156) (CONG _let_78 (TRANS (CONG _let_67 _let_155 :args _let_58) _let_76) :args _let_51) :args _let_52))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 1)) (CONG _let_150 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_51)) :args ((or _let_28 _let_32))) _let_149 :args (_let_28 true _let_32)) :args (_let_154 false _let_28)) :args (_let_9 false _let_13 false _let_154)) :args (_let_153 true _let_5 false _let_7 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 (not _let_15)))) _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_2 _let_2 _let_2 _let_6 _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_79)) (CONG _let_80 (CONG _let_78 (CONG (CONG (CONG _let_76 :args _let_53) (CONG _let_75 :args _let_53) _let_64 :args _let_51) (CONG (CONG _let_74 :args _let_53) _let_74 :args _let_51) :args _let_54) :args _let_51) :args _let_52))) _let_73 :args (_let_15 false _let_16)) :args (_let_12 false _let_13 false _let_15)) :args (false true _let_11 false _let_12)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 41.89/42.12 ) 41.89/42.12 % SZS output end Proof for 41.89/42.12 % cvc5---1.0.5 exiting 41.89/42.12 % cvc5---1.0.5 exiting 41.89/42.12 EOF