TSTP Solution File: SYO633-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:16:46 EDT 2023

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.34  % Computer : n028.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Fri Aug 25 23:14:06 EDT 2023
% 0.16/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HRbEPDcEM1/cvc5---1.0.5_30626.p...
% 0.20/0.49  ------- get file name : TPTP file name is SYO633-1
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30626.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55  % SZS status Unsatisfiable for SYO633-1
% 0.20/0.55  % SZS output start Proof for SYO633-1
% 0.20/0.55  (
% 0.20/0.55  (let ((_let_1 (forall ((A_0 $$unsorted) (B_0 $$unsorted) (A_1 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (or (not (|tptp.'E'| (tptp.f A_0) _let_3)) (not (|tptp.'E'| (tptp.f B_0) _let_4)) (not (|tptp.'E'| (tptp.f A_1) _let_2)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s _let_4) K)) _let_1))))))))) (let ((_let_2 (forall ((A_0 $$unsorted) (B_0 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s |tptp.'0'|))))) (let ((_let_2 (tptp.f B_0))) (let ((_let_3 (tptp.s _let_1))) (or (not (|tptp.'E'| (tptp.f A_0) _let_3)) (not (|tptp.'E'| _let_2 (tptp.s _let_3))) (|tptp.'E'| _let_2 _let_1)))))))) (let ((_let_3 (forall ((A_0 $$unsorted) (B_0 $$unsorted) (A_1 $$unsorted) (A_2 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (or (not (|tptp.'E'| (tptp.f A_0) _let_4)) (not (|tptp.'E'| (tptp.f B_0) _let_5)) (not (|tptp.'E'| (tptp.f A_1) _let_3)) (not (|tptp.'E'| (tptp.f A_2) _let_2)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s _let_5) K)) _let_1)))))))))) (let ((_let_4 (forall ((A_2 $$unsorted) (A_0 $$unsorted) (A_1 $$unsorted) (A_3 $$unsorted) (B_0 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (or (not (|tptp.'E'| (tptp.f A_2) _let_2)) (not (|tptp.'E'| (tptp.f A_0) _let_4)) (not (|tptp.'E'| (tptp.f A_1) _let_3)) (not (|tptp.'E'| (tptp.f A_3) _let_1)) (not (|tptp.'E'| (tptp.f B_0) _let_5)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s _let_5) K)) |tptp.'0'|)))))))))) (let ((_let_5 (forall ((B $$unsorted)) (|tptp.'E'| (tptp.f B) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_6 (forall ((B_0 $$unsorted)) (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_7 (forall ((A_2 $$unsorted) (A_0 $$unsorted) (A_1 $$unsorted) (A_3 $$unsorted) (A_4 $$unsorted) (B_0 $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (or (not (|tptp.'E'| (tptp.f A_2) _let_2)) (not (|tptp.'E'| (tptp.f A_0) _let_4)) (not (|tptp.'E'| (tptp.f A_1) _let_3)) (not (|tptp.'E'| (tptp.f A_3) _let_1)) (not (|tptp.'E'| (tptp.f A_4) |tptp.'0'|)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s _let_4))))))))))) (let ((_let_8 (forall ((K $$unsorted)) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))) K)) |tptp.'0'|)))) (let ((_let_9 (tptp.s |tptp.'0'|))) (let ((_let_10 (tptp.s _let_9))) (let ((_let_11 (tptp.s _let_10))) (let ((_let_12 (tptp.s _let_11))) (let ((_let_13 (tptp.s _let_12))) (let ((_let_14 (tptp.s _let_13))) (let ((_let_15 (|tptp.'AP'| _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.f _let_15))) (let ((_let_17 (|tptp.'E'| _let_16 |tptp.'0'|))) (let ((_let_18 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_19 (forall ((A_3 $$unsorted)) (not (|tptp.'E'| (tptp.f A_3) (tptp.s |tptp.'0'|)))))) (let ((_let_20 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_21 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_22 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s |tptp.'0'|))))))) (let ((_let_23 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_24 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (|tptp.'E'| _let_24 _let_13))) (let ((_let_26 (_let_5))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B)))) :args _let_26)) _let_27 :args (_let_25 false _let_5)))) (let ((_let_29 (_let_23))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_0)))) :args _let_29)) _let_28 :args ((not _let_23) false _let_25)))) (let ((_let_31 (forall ((A_3 $$unsorted)) (not (|tptp.'E'| (tptp.f A_3) (tptp.s |tptp.'0'|)))))) (let ((_let_32 (|tptp.'E'| _let_16 _let_9))) (let ((_let_33 (forall ((K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s _let_1))))) K)) _let_1))))) (let ((_let_34 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s |tptp.'0'|))))))) (let ((_let_35 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_36 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_37 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_38 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s |tptp.'0'|))))))) (let ((_let_39 (|tptp.'E'| _let_16 _let_10))) (let ((_let_40 (forall ((K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s |tptp.'0'|)))) (|tptp.'E'| (tptp.f (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s _let_1)))) K)) _let_1))))) (let ((_let_41 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_42 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_43 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_44 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_45 (|tptp.'E'| _let_24 _let_11))) (let ((_let_46 (not _let_25))) (let ((_let_47 (or _let_46 _let_45))) (let ((_let_48 (forall ((B_0 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s |tptp.'0'|))))) (let ((_let_2 (tptp.f B_0))) (or (not (|tptp.'E'| _let_2 (tptp.s (tptp.s _let_1)))) (|tptp.'E'| _let_2 _let_1))))))) (let ((_let_49 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_50 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_51 (|tptp.'E'| _let_16 _let_12))) (let ((_let_52 (_let_6))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_50))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_0)))) :args _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_0)))) :args _let_52)) _let_53 :args (_let_51 false _let_6)) :args ((not _let_50) false _let_51)))) (let ((_let_56 (_let_48))) (let ((_let_57 (_let_44))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_1)))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_45 (not _let_47)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_56) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_0)))) :args _let_56)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_50 (= A_0 A_0)))) _let_55 :args ((not _let_49) true _let_50)) :args (_let_48 true _let_49)) :args (_let_47 false _let_48)) :args (_let_45 false _let_25 false _let_47)) :args ((not _let_44) false _let_45)))) (let ((_let_59 (_let_40))) (let ((_let_60 (_let_38))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_60) :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_2)))) :args _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'AP'| _let_14 K)))) :args _let_59)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_50 (= A_0 A_0)))) _let_55 :args ((not _let_43) true _let_50)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_23 (= B_0 B_0)))) _let_30 :args ((not _let_42) true _let_23)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_44 (= A_1 A_1)))) _let_58 :args ((not _let_41) true _let_44)) :args (_let_40 true _let_43 true _let_42 true _let_41)) :args (_let_39 false _let_40)) :args ((not _let_38) false _let_39)))) (let ((_let_62 (_let_33))) (let ((_let_63 (_let_31))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_63) :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_3)))) :args _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'AP'| _let_14 K)))) :args _let_62)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_50 (= A_0 A_0)))) _let_55 :args ((not _let_37) true _let_50)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_23 (= B_0 B_0)))) _let_30 :args ((not _let_36) true _let_23)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_44 (= A_1 A_1)))) _let_58 :args ((not _let_35) true _let_44)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_38 (= A_2 A_2)))) _let_61 :args ((not _let_34) true _let_38)) :args (_let_33 true _let_37 true _let_36 true _let_35 true _let_34)) :args (_let_32 false _let_33)) :args ((not _let_31) false _let_32)))) (let ((_let_65 (forall ((A_4 $$unsorted)) (not (|tptp.'E'| (tptp.f A_4) |tptp.'0'|))))) (let ((_let_66 (forall ((B_0 $$unsorted)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))))) (let ((_let_67 (forall ((A_1 $$unsorted)) (not (|tptp.'E'| (tptp.f A_1) (tptp.s (tptp.s (tptp.s |tptp.'0'|)))))))) (let ((_let_68 (forall ((A_0 $$unsorted)) (not (|tptp.'E'| (tptp.f A_0) (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))))) (let ((_let_69 (forall ((A_2 $$unsorted)) (not (|tptp.'E'| (tptp.f A_2) (tptp.s (tptp.s |tptp.'0'|))))))) (let ((_let_70 (_let_65))) (let ((_let_71 (_let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_71) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'AP'| _let_14 K)))) :args _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_70) :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A_4)))) :args _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_38 (= A_2 A_2)))) _let_61 :args ((not _let_69) true _let_38)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_50 (= A_0 A_0)))) _let_55 :args ((not _let_68) true _let_50)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_44 (= A_1 A_1)))) _let_58 :args ((not _let_67) true _let_44)) _let_64 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_23 (= B_0 B_0)))) _let_30 :args ((not _let_66) true _let_23)) :args (_let_65 true _let_69 true _let_68 true _let_67 true _let_31 true _let_66)) :args ((not _let_17) false _let_65)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_38 (= A_2 A_2)))) _let_61 :args ((not _let_22) true _let_38)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_50 (= A_0 A_0)))) _let_55 :args ((not _let_21) true _let_50)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_44 (= A_1 A_1)))) _let_58 :args ((not _let_20) true _let_44)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_31 (= A_3 A_3)))) _let_64 :args ((not _let_19) true _let_31)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_23 (= B_0 B_0)))) _let_30 :args ((not _let_18) true _let_23)) :args (_let_8 true _let_22 true _let_21 true _let_20 true _let_19 true _let_18)) :args (false true _let_17 false _let_8)) :args ((forall ((A_0 $$unsorted) (B_0 $$unsorted) (A_1 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (or (not (|tptp.'E'| (tptp.f A_0) _let_3)) (not (|tptp.'E'| (tptp.f B_0) _let_4)) (not (|tptp.'E'| (tptp.f A_1) _let_2)) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) (|tptp.'AP'| (tptp.s _let_4) K)))))))) (forall ((A_0 $$unsorted) (B_0 $$unsorted) (A_1 $$unsorted) (A_2 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (or (not (|tptp.'E'| (tptp.f A_0) _let_4)) (not (|tptp.'E'| (tptp.f B_0) _let_5)) (not (|tptp.'E'| (tptp.f A_1) _let_3)) (not (|tptp.'E'| (tptp.f A_2) _let_2)) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) (|tptp.'AP'| (tptp.s _let_5) K))))))))) _let_7 _let_6 _let_5 (forall ((K $$unsorted) (B_0 $$unsorted)) (|tptp.'LEQ'| (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|)))) K) B_0)) _let_4 (forall ((K $$unsorted) (B $$unsorted)) (|tptp.'LEQ'| (|tptp.'AP'| (tptp.s (tptp.s (tptp.s (tptp.s (tptp.s |tptp.'0'|))))) K) B)) _let_3 _let_2 (forall ((A_0 $$unsorted) (B_0 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s |tptp.'0'|))))) (let ((_let_2 (tptp.s _let_1))) (or (not (|tptp.'E'| (tptp.f A_0) _let_2)) (not (|tptp.'E'| (tptp.f B_0) (tptp.s _let_2))) (|tptp.'LEQ'| (|tptp.'AP'| _let_1 K) B_0))))) _let_1 (forall ((A_2 $$unsorted) (A_0 $$unsorted) (A_1 $$unsorted) (A_3 $$unsorted) (B_0 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (or (not (|tptp.'E'| (tptp.f A_2) _let_2)) (not (|tptp.'E'| (tptp.f A_0) _let_4)) (not (|tptp.'E'| (tptp.f A_1) _let_3)) (not (|tptp.'E'| (tptp.f A_3) _let_1)) (not (|tptp.'E'| (tptp.f B_0) _let_5)) (|tptp.'LEQ'| (|tptp.'AP'| |tptp.'0'| K) (|tptp.'AP'| (tptp.s _let_5) K)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55  )
% 0.20/0.56  % SZS output end Proof for SYO633-1
% 0.20/0.56  % cvc5---1.0.5 exiting
% 0.20/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------