0.08/0.13 % Problem : Vampire---4.8_21506 : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : do_cvc5 %s %d 0.15/0.36 % Computer : n011.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1440 0.15/0.36 % WCLimit : 180 0.15/0.36 % DateTime : Mon Jul 3 12:46:40 EDT 2023 0.15/0.36 % CPUTime : 0.21/0.51 %----Proving TH0 0.21/0.53 thf(cQ_6,type, 0.21/0.53 cQ_6: $i > $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(f,type, 0.21/0.53 f: $i > $i ). 0.21/0.53 0.21/0.53 thf(cP_5,type, 0.21/0.53 cP_5: $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(cQ_5,type, 0.21/0.53 cQ_5: $i > $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(d,type, 0.21/0.53 d: $i ). 0.21/0.53 0.21/0.53 thf(c,type, 0.21/0.53 c: $i ). 0.21/0.53 0.21/0.53 thf(b,type, 0.21/0.53 b: $i ). 0.21/0.53 0.21/0.53 thf(a,type, 0.21/0.53 a: $i ). 0.21/0.53 0.21/0.53 thf(cP_4,type, 0.21/0.53 cP_4: $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(cQ_4,type, 0.21/0.53 cQ_4: $i > $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(cP_3,type, 0.21/0.53 cP_3: $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(cQ_3,type, 0.21/0.53 cQ_3: $i > $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(cP_2,type, 0.21/0.53 cP_2: $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(cQ_2,type, 0.21/0.53 cQ_2: $i > $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(cP_1,type, 0.21/0.53 cP_1: $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(cQ_1,type, 0.21/0.53 cQ_1: $i > $i > $i > $o ). 0.21/0.53 0.21/0.53 thf(cTHM409_5,conjecture, 0.21/0.53 ~ ( ( cQ_1 @ a @ b @ c ) 0.21/0.53 & ( cP_1 @ a @ a ) 0.21/0.53 & ( cP_1 @ b @ b ) 0.21/0.53 & ! [Xx: $i] : ( cP_1 @ d @ Xx ) 0.21/0.53 & ! [Xx: $i,Xy: $i] : 0.21/0.53 ( ( cP_1 @ ( f @ Xx ) @ Xy ) 0.21/0.53 | ~ ( cP_1 @ Xx @ Xy ) ) 0.21/0.53 & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] : 0.21/0.53 ( ~ ( cQ_1 @ Xx @ Xy @ Xz ) 0.21/0.53 | ~ ( cP_1 @ ( f @ Xx ) @ Xu ) 0.21/0.53 | ( cQ_2 @ Xu @ Xv @ Xw ) 0.21/0.53 | ~ ( cP_1 @ ( f @ Xz ) @ Xw ) 0.21/0.53 | ~ ( cP_1 @ ( f @ Xy ) @ Xv ) ) 0.21/0.53 & ( cP_2 @ a @ a ) 0.21/0.53 & ! [Xx: $i,Xy: $i] : 0.21/0.53 ( ( cP_2 @ ( f @ Xx ) @ Xy ) 0.21/0.53 | ~ ( cP_2 @ Xx @ Xy ) ) 0.21/0.53 & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] : 0.21/0.53 ( ~ ( cQ_2 @ Xx @ Xy @ Xz ) 0.21/0.53 | ~ ( cP_2 @ ( f @ Xx ) @ Xu ) 0.21/0.53 | ~ ( cP_2 @ ( f @ Xz ) @ Xw ) 0.21/0.53 | ( cQ_3 @ Xu @ Xv @ Xw ) 0.21/0.53 | ~ ( cP_2 @ ( f @ Xy ) @ Xv ) ) 0.21/0.53 & ( cP_3 @ b @ b ) 0.21/0.53 & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] : 0.21/0.53 ( ~ ( cP_3 @ ( f @ Xx ) @ Xu ) 0.21/0.53 | ~ ( cP_3 @ ( f @ Xz ) @ Xw ) 0.21/0.53 | ( cQ_4 @ Xu @ Xv @ Xw ) 0.21/0.53 | ~ ( cP_3 @ ( f @ Xy ) @ Xv ) 0.21/0.53 | ~ ( cQ_3 @ Xx @ Xy @ Xz ) ) 0.21/0.53 & ( cP_4 @ b @ b ) 0.21/0.53 & ( cP_4 @ c @ c ) 0.21/0.53 & ! [Xx: $i] : ( cP_4 @ d @ Xx ) 0.21/0.53 & ! [Xx: $i,Xy: $i] : 0.21/0.53 ( ( cP_4 @ ( f @ Xx ) @ Xy ) 0.21/0.53 | ~ ( cP_4 @ Xx @ Xy ) ) 0.21/0.53 & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] : 0.21/0.53 ( ~ ( cP_4 @ ( f @ Xz ) @ Xw ) 0.21/0.53 | ( cQ_5 @ Xu @ Xv @ Xw ) 0.21/0.53 | ~ ( cP_4 @ ( f @ Xy ) @ Xv ) 0.21/0.53 | ~ ( cP_4 @ ( f @ Xx ) @ Xu ) 0.21/0.53 | ~ ( cQ_4 @ Xx @ Xy @ Xz ) ) 0.21/0.53 & ( cP_5 @ c @ c ) 0.21/0.53 & ! [Xx: $i,Xy: $i] : 0.21/0.53 ( ~ ( cP_5 @ Xx @ Xy ) 0.21/0.53 | ( cP_5 @ ( f @ Xx ) @ Xy ) ) 0.21/0.53 & ! [Xx: $i,Xy: $i,Xz: $i] : 0.21/0.53 ~ ( cQ_6 @ Xx @ Xy @ Xz ) 0.21/0.53 & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] : 0.21/0.53 ( ~ ( cP_5 @ ( f @ Xx ) @ Xu ) 0.21/0.53 | ~ ( cP_5 @ ( f @ Xz ) @ Xw ) 0.21/0.53 | ( cQ_6 @ Xu @ Xv @ Xw ) 0.21/0.53 | ~ ( cP_5 @ ( f @ Xy ) @ Xv ) 0.21/0.53 | ~ ( cQ_5 @ Xx @ Xy @ Xz ) ) 0.21/0.53 & ! [Xx: $i] : ( cP_5 @ d @ Xx ) 0.21/0.53 & ( cP_5 @ b @ b ) 0.21/0.53 & ( cP_5 @ a @ a ) 0.21/0.53 & ( cP_4 @ a @ a ) 0.21/0.53 & ! [Xx: $i,Xy: $i] : 0.21/0.53 ( ( cP_3 @ ( f @ Xx ) @ Xy ) 0.21/0.53 | ~ ( cP_3 @ Xx @ Xy ) ) 0.21/0.53 & ! [Xx: $i] : ( cP_3 @ d @ Xx ) 0.21/0.53 & ( cP_3 @ c @ c ) 0.21/0.53 & ( cP_3 @ a @ a ) 0.21/0.53 & ! [Xx: $i] : ( cP_2 @ d @ Xx ) 0.21/0.53 & ( cP_2 @ c @ c ) 0.21/0.53 & ( cP_2 @ b @ b ) 0.21/0.53 & ( cP_1 @ c @ c ) ) ). 0.21/0.53 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BDm1plkgyW/cvc5---1.0.5_21713.p... 0.21/0.53 (declare-sort $$unsorted 0) 0.21/0.53 (declare-fun tptp.cQ_6 ($$unsorted $$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.f ($$unsorted) $$unsorted) 0.21/0.53 (declare-fun tptp.cP_5 ($$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.cQ_5 ($$unsorted $$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.d () $$unsorted) 0.21/0.53 (declare-fun tptp.c () $$unsorted) 0.21/0.53 (declare-fun tptp.b () $$unsorted) 0.21/0.53 (declare-fun tptp.a () $$unsorted) 0.21/0.53 (declare-fun tptp.cP_4 ($$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.cQ_4 ($$unsorted $$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.cP_3 ($$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.cQ_3 ($$unsorted $$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.cP_2 ($$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.cQ_2 ($$unsorted $$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.cP_1 ($$unsorted $$unsorted) Bool) 0.21/0.53 (declare-fun tptp.cQ_1 ($$unsorted $$unsorted $$unsorted) Bool) 0.21/0.53 (assert (not (not (and (@ (@ (@ tptp.cQ_1 tptp.a) tptp.b) tptp.c) (@ (@ tptp.cP_1 tptp.a) tptp.a) (@ (@ tptp.cP_1 tptp.b) tptp.b) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_1 tptp.d) Xx)) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP_1 (@ tptp.f Xx)) Xy) (not (@ (@ tptp.cP_1 Xx) Xy)))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ (@ tptp.cQ_1 Xx) Xy) Xz)) (not (@ (@ tptp.cP_1 (@ tptp.f Xx)) Xu)) (@ (@ (@ tptp.cQ_2 Xu) Xv) Xw) (not (@ (@ tptp.cP_1 (@ tptp.f Xz)) Xw)) (not (@ (@ tptp.cP_1 (@ tptp.f Xy)) Xv)))) (@ (@ tptp.cP_2 tptp.a) tptp.a) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP_2 (@ tptp.f Xx)) Xy) (not (@ (@ tptp.cP_2 Xx) Xy)))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ (@ tptp.cQ_2 Xx) Xy) Xz)) (not (@ (@ tptp.cP_2 (@ tptp.f Xx)) Xu)) (not (@ (@ tptp.cP_2 (@ tptp.f Xz)) Xw)) (@ (@ (@ tptp.cQ_3 Xu) Xv) Xw) (not (@ (@ tptp.cP_2 (@ tptp.f Xy)) Xv)))) (@ (@ tptp.cP_3 tptp.b) tptp.b) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ tptp.cP_3 (@ tptp.f Xx)) Xu)) (not (@ (@ tptp.cP_3 (@ tptp.f Xz)) Xw)) (@ (@ (@ tptp.cQ_4 Xu) Xv) Xw) (not (@ (@ tptp.cP_3 (@ tptp.f Xy)) Xv)) (not (@ (@ (@ tptp.cQ_3 Xx) Xy) Xz)))) (@ (@ tptp.cP_4 tptp.b) tptp.b) (@ (@ tptp.cP_4 tptp.c) tptp.c) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_4 tptp.d) Xx)) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP_4 (@ tptp.f Xx)) Xy) (not (@ (@ tptp.cP_4 Xx) Xy)))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ tptp.cP_4 (@ tptp.f Xz)) Xw)) (@ (@ (@ tptp.cQ_5 Xu) Xv) Xw) (not (@ (@ tptp.cP_4 (@ tptp.f Xy)) Xv)) (not (@ (@ tptp.cP_4 (@ tptp.f Xx)) Xu)) (not (@ (@ (@ tptp.cQ_4 Xx) Xy) Xz)))) (@ (@ tptp.cP_5 tptp.c) tptp.c) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (@ (@ tptp.cP_5 Xx) Xy)) (@ (@ tptp.cP_5 (@ tptp.f Xx)) Xy))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (not (@ (@ (@ tptp.cQ_6 Xx) Xy) Xz))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ tptp.cP_5 (@ tptp.f Xx)) Xu)) (not (@ (@ tptp.cP_5 (@ tptp.f Xz)) Xw)) (@ (@ (@ tptp.cQ_6 Xu) Xv) Xw) (not (@ (@ tptp.cP_5 (@ tptp.f Xy)) Xv)) (not (@ (@ (@ tptp.cQ_5 Xx) Xy) Xz)))) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_5 tptp.d) Xx)) (@ (@ tptp.cP_5 tptp.b) tptp.b) (@ (@ tptp.cP_5 tptp.a) tptp.a) (@ (@ tptp.cP_4 tptp.a) tptp.a) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP_3 (@ tptp.f Xx)) Xy) (not (@ (@ tptp.cP_3 Xx) Xy)))) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_3 tptp.d) Xx)) (@ (@ tptp.cP_3 tptp.c) tptp.c) (@ (@ tptp.cP_3 tptp.a) tptp.a) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_2 tptp.d) Xx)) (@ (@ tptp.cP_2 tptp.c) tptp.c) (@ (@ tptp.cP_2 tptp.b) tptp.b) (@ (@ tptp.cP_1 tptp.c) tptp.c))))) 31.34/31.53 (set-info :filename cvc5---1.0.5_21713) 31.34/31.53 (check-sat-assuming ( true )) 31.34/31.53 ------- get file name : TPTP file name is 31.34/31.53 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21713.smt2... 31.34/31.53 --- Run --ho-elim --full-saturate-quant at 10... 31.34/31.53 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10... 31.34/31.53 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10... 31.34/31.53 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 31.34/31.53 % SZS status Theorem for 31.34/31.53 % SZS output start Proof for 31.34/31.53 ( 31.34/31.53 (let ((_let_1 (and (@ (@ (@ tptp.cQ_1 tptp.a) tptp.b) tptp.c) (@ (@ tptp.cP_1 tptp.a) tptp.a) (@ (@ tptp.cP_1 tptp.b) tptp.b) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_1 tptp.d) Xx)) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP_1 (@ tptp.f Xx)) Xy) (not (@ (@ tptp.cP_1 Xx) Xy)))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ (@ tptp.cQ_1 Xx) Xy) Xz)) (not (@ (@ tptp.cP_1 (@ tptp.f Xx)) Xu)) (@ (@ (@ tptp.cQ_2 Xu) Xv) Xw) (not (@ (@ tptp.cP_1 (@ tptp.f Xz)) Xw)) (not (@ (@ tptp.cP_1 (@ tptp.f Xy)) Xv)))) (@ (@ tptp.cP_2 tptp.a) tptp.a) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP_2 (@ tptp.f Xx)) Xy) (not (@ (@ tptp.cP_2 Xx) Xy)))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ (@ tptp.cQ_2 Xx) Xy) Xz)) (not (@ (@ tptp.cP_2 (@ tptp.f Xx)) Xu)) (not (@ (@ tptp.cP_2 (@ tptp.f Xz)) Xw)) (@ (@ (@ tptp.cQ_3 Xu) Xv) Xw) (not (@ (@ tptp.cP_2 (@ tptp.f Xy)) Xv)))) (@ (@ tptp.cP_3 tptp.b) tptp.b) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ tptp.cP_3 (@ tptp.f Xx)) Xu)) (not (@ (@ tptp.cP_3 (@ tptp.f Xz)) Xw)) (@ (@ (@ tptp.cQ_4 Xu) Xv) Xw) (not (@ (@ tptp.cP_3 (@ tptp.f Xy)) Xv)) (not (@ (@ (@ tptp.cQ_3 Xx) Xy) Xz)))) (@ (@ tptp.cP_4 tptp.b) tptp.b) (@ (@ tptp.cP_4 tptp.c) tptp.c) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_4 tptp.d) Xx)) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP_4 (@ tptp.f Xx)) Xy) (not (@ (@ tptp.cP_4 Xx) Xy)))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ tptp.cP_4 (@ tptp.f Xz)) Xw)) (@ (@ (@ tptp.cQ_5 Xu) Xv) Xw) (not (@ (@ tptp.cP_4 (@ tptp.f Xy)) Xv)) (not (@ (@ tptp.cP_4 (@ tptp.f Xx)) Xu)) (not (@ (@ (@ tptp.cQ_4 Xx) Xy) Xz)))) (@ (@ tptp.cP_5 tptp.c) tptp.c) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (@ (@ tptp.cP_5 Xx) Xy)) (@ (@ tptp.cP_5 (@ tptp.f Xx)) Xy))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (not (@ (@ (@ tptp.cQ_6 Xx) Xy) Xz))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (@ (@ tptp.cP_5 (@ tptp.f Xx)) Xu)) (not (@ (@ tptp.cP_5 (@ tptp.f Xz)) Xw)) (@ (@ (@ tptp.cQ_6 Xu) Xv) Xw) (not (@ (@ tptp.cP_5 (@ tptp.f Xy)) Xv)) (not (@ (@ (@ tptp.cQ_5 Xx) Xy) Xz)))) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_5 tptp.d) Xx)) (@ (@ tptp.cP_5 tptp.b) tptp.b) (@ (@ tptp.cP_5 tptp.a) tptp.a) (@ (@ tptp.cP_4 tptp.a) tptp.a) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP_3 (@ tptp.f Xx)) Xy) (not (@ (@ tptp.cP_3 Xx) Xy)))) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_3 tptp.d) Xx)) (@ (@ tptp.cP_3 tptp.c) tptp.c) (@ (@ tptp.cP_3 tptp.a) tptp.a) (forall ((Xx $$unsorted)) (@ (@ tptp.cP_2 tptp.d) Xx)) (@ (@ tptp.cP_2 tptp.c) tptp.c) (@ (@ tptp.cP_2 tptp.b) tptp.b) (@ (@ tptp.cP_1 tptp.c) tptp.c)))) (let ((_let_2 (not (not _let_1)))) (let ((_let_3 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_4 (ho_3 k_10 (ho_8 k_7 Xx)) Xu)) (not (ho_4 (ho_3 k_10 (ho_8 k_7 Xz)) Xw)) (ho_4 (ho_3 (ho_12 k_13 Xu) Xv) Xw) (not (ho_4 (ho_3 k_10 (ho_8 k_7 Xy)) Xv)) (not (ho_4 (ho_3 (ho_12 k_11 Xx) Xy) Xz)))))) (let ((_let_4 (ho_4 (ho_3 (ho_12 k_11 tptp.a) tptp.b) tptp.c))) (let ((_let_5 (not _let_4))) (let ((_let_6 (ho_8 k_7 tptp.b))) (let ((_let_7 (ho_4 (ho_3 k_10 _let_6) tptp.b))) (let ((_let_8 (not _let_7))) (let ((_let_9 (ho_4 (ho_3 (ho_12 k_13 tptp.a) tptp.b) tptp.c))) (let ((_let_10 (ho_8 k_7 tptp.c))) (let ((_let_11 (ho_4 (ho_3 k_10 _let_10) tptp.c))) (let ((_let_12 (not _let_11))) (let ((_let_13 (ho_8 k_7 tptp.a))) (let ((_let_14 (ho_4 (ho_3 k_10 _let_13) tptp.a))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_12 _let_9 _let_8 _let_5))) (let ((_let_17 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_18 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_19 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_20 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_21 (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_22 (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_23 (forall ((u |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_12 v ii) (ite (= i ii) e (ho_12 u ii)))))))))) (let ((_let_24 (forall ((x |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_12 x z) (ho_12 y z)))) (= x y))))) (let ((_let_25 (ho_4 (ho_3 k_2 tptp.c) tptp.c))) (let ((_let_26 (ho_4 (ho_3 k_5 tptp.b) tptp.b))) (let ((_let_27 (ho_4 (ho_3 k_5 tptp.c) tptp.c))) (let ((_let_28 (forall ((Xx $$unsorted)) (ho_4 (ho_3 k_5 tptp.d) Xx)))) (let ((_let_29 (ho_4 (ho_3 k_6 tptp.a) tptp.a))) (let ((_let_30 (ho_4 (ho_3 k_6 tptp.c) tptp.c))) (let ((_let_31 (forall ((Xx $$unsorted)) (ho_4 (ho_3 k_6 tptp.d) Xx)))) (let ((_let_32 (forall ((Xx 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_74 _let_76 _let_72 _let_58 _let_70 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_126 _let_73 (not _let_127)))) (AND_ELIM _let_56 :args (26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args _let_114) :args _let_122)) _let_121 :args (_let_127 false _let_32)) :args (_let_73 false _let_30 false _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_124 _let_75 (not _let_125)))) (AND_ELIM _let_56 :args (27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args _let_111) :args _let_122)) _let_121 :args (_let_125 false _let_32)) :args (_let_75 false _let_29 false _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_119 _let_71 (not _let_120)))) (AND_ELIM _let_56 :args (9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 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_let_51)) :args (_let_95 false _let_53 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_103) :args _let_68) :args _let_103)) (AND_ELIM _let_56 :args (5)) :args (_let_102 false _let_50)) :args (_let_85 false _let_55 false _let_97 false _let_99 false _let_95 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_79 (not _let_90)))) (AND_ELIM _let_56 :args (30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_93) :args _let_92)) _let_91 :args (_let_90 false _let_48)) :args (_let_79 false _let_26 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_88) :args _let_68) :args _let_88)) (AND_ELIM _let_56 :args (8)) :args (_let_87 false _let_47)) :args (_let_69 false _let_81 false _let_83 false _let_85 false _let_79 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args _let_68) :args _let_78)) (AND_ELIM _let_56 :args (10)) :args (_let_77 false _let_45)) :args (_let_58 false _let_73 false _let_75 false _let_71 false _let_69 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_67) :args _let_68) :args _let_67)) (AND_ELIM _let_56 :args (15)) :args (_let_66 false _let_40)) :args (_let_4 false _let_64 false _let_60 false _let_62 false _let_58 false _let_66)) :args (_let_57 false _let_11 true _let_9 false _let_14 false _let_7 false _let_4)) (AND_ELIM _let_56 :args (19)) :args (false true _let_16 false _let_3)) :args (_let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 31.36/31.64 ) 31.36/31.64 % SZS output end Proof for 31.36/31.64 % cvc5---1.0.5 exiting 31.36/31.64 % cvc5---1.0.5 exiting 31.36/31.64 EOF