%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP012+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 : Thu Aug 31 03:14:48 EDT 2023

% Result   : Theorem 0.52s 0.75s
% Output   : Proof 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : ITP012+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun Aug 27 10:13:26 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.52/0.75  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JI8c6Noy4X/cvc5---1.0.5_31147.p...
% 0.52/0.75  ------- get file name : TPTP file name is ITP012+1
% 0.52/0.75  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31147.smt2...
% 0.52/0.75  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.52/0.75  % SZS status Theorem for ITP012+1
% 0.52/0.75  % SZS output start Proof for ITP012+1
% 0.52/0.75  (
% 0.52/0.75  (let ((_let_1 (not (forall ((V0p_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2r_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint V2r_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint V0p_2E0))) (let ((_let_3 (tptp.s tptp.tyop_2Einteger_2Eint V1q_2E0))) (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_3))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__sub_2E2 _let_1 _let_3)))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_1))))))))))) (let ((_let_2 (forall ((V0p_2E0 $$unsorted) (V1q_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint V1q_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint V0p_2E0))) (let ((_let_3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_1)))) (and (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 _let_1)))) _let_3) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 _let_2)) _let_1)) _let_3)))))))) (let ((_let_3 (forall ((V0p_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2r_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint V2r_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint V0p_2E0))) (let ((_let_3 (tptp.s tptp.tyop_2Einteger_2Eint V1q_2E0))) (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_3))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 _let_1 _let_3)))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_1)))))))))) (let ((_let_4 (forall ((V0x_2E0 $$unsorted) (V1y_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint V1y_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint V0x_2E0))) (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__sub_2E2 _let_2 _let_1)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 _let_2 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 _let_1)))))))))) (let ((_let_5 (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (let ((_let_2 (tptp.p _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (let ((_let_5 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))) (and (= (= _let_5 _let_1) _let_2) (= (= _let_1 _let_5) _let_2) (= (= _let_4 _let_1) _let_3) (= (= _let_1 _let_4) _let_3)))))))))) (let ((_let_6 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))) (let ((_let_7 (tptp.p _let_6))) (let ((_let_8 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_9 (not _let_8))) (let ((_let_10 (not _let_7))) (let ((_let_11 (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)))) (and (= (=> _let_3 _let_1) _let_1) (= (=> _let_1 _let_3) _let_3) (= (=> _let_2 _let_1) _let_3) (= (=> _let_1 _let_1) _let_3) (= (=> _let_1 _let_2) (not _let_1))))))))) (let ((_let_12 (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (=> (= (tptp.p _let_2) (tptp.p _let_1)) (= _let_2 _let_1))))))) (let ((_let_13 (tptp.s tptp.tyop_2Einteger_2Eint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.s tptp.tyop_2Einteger_2Eint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.c_2Einteger_2Eint__divides_2E2 _let_14 _let_13))) (let ((_let_16 (tptp.s tptp.tyop_2Emin_2Ebool _let_15))) (let ((_let_17 (= _let_6 _let_16))) (let ((_let_18 (tptp.c_2Einteger_2Eint__neg_2E1 _let_13))) (let ((_let_19 (tptp.s tptp.tyop_2Einteger_2Eint _let_18))) (let ((_let_20 (tptp.c_2Einteger_2Eint__divides_2E2 _let_14 _let_19))) (let ((_let_21 (tptp.s tptp.tyop_2Emin_2Ebool _let_20))) (let ((_let_22 (= _let_16 _let_21))) (let ((_let_23 (= _let_6 _let_21))) (let ((_let_24 (tptp.p _let_16))) (let ((_let_25 (not _let_24))) (let ((_let_26 (= _let_7 _let_25))) (let ((_let_27 (or _let_26 _let_17))) (let ((_let_28 (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (or (= (tptp.p _let_2) (not (tptp.p _let_1))) (= _let_2 _let_1))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (not _let_26))) (let ((_let_31 (tptp.s tptp.tyop_2Einteger_2Eint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_14 _let_31)))) (let ((_let_33 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__sub_2E2 _let_31 _let_13)))) (let ((_let_34 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_14 _let_33)) _let_32))) (let ((_let_35 (or _let_25 _let_34))) (let ((_let_36 (forall ((V0p_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2r_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint V2r_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint V0p_2E0))) (let ((_let_3 (tptp.s tptp.tyop_2Einteger_2Eint V1q_2E0))) (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_3)))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__sub_2E2 _let_1 _let_3)))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_1)))))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) _let_38 :args (_let_37 true _let_36)))) (let ((_let_42 (forall ((BOUND_VARIABLE_1578 $$unsorted) (BOUND_VARIABLE_1580 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint BOUND_VARIABLE_1580))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint BOUND_VARIABLE_1578))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_1)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 _let_1)))))))))) (let ((_let_43 (0))) (let ((_let_44 (_let_42))) (let ((_let_45 (tptp.p _let_21))) (let ((_let_46 (= _let_45 _let_23))) (let ((_let_47 (not _let_23))) (let ((_let_48 (forall ((BOUND_VARIABLE_1516 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool BOUND_VARIABLE_1516))) (= (tptp.p _let_1) (= (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0) _let_1)))))) (let ((_let_49 (_let_48))) (let ((_let_50 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 _let_31 _let_19)))) (let ((_let_51 (= _let_32 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_14 _let_50))))) (let ((_let_52 (not _let_45))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (forall ((V0p_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2r_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint V2r_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint V0p_2E0))) (let ((_let_3 (tptp.s tptp.tyop_2Einteger_2Eint V1q_2E0))) (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_3)))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 _let_1 _let_3)))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_1)))))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (= _let_33 _let_50))) (let ((_let_57 (not _let_51))) (let ((_let_58 (_let_4))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (not _let_34))) (let ((_let_61 (and _let_60 _let_56))) (let ((_let_62 (ASSUME :args (_let_60)))) (let ((_let_63 (ASSUME :args (_let_56)))) (let ((_let_64 (and _let_17 _let_22))) (let ((_let_65 (ASSUME :args (_let_22)))) (let ((_let_66 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_66) (SCOPE (TRANS (SYMM (SYMM _let_66)) (SYMM (SYMM _let_65))) :args (_let_22 _let_17))) :args (_let_17 _let_22))) :args (true _let_64)) :args ((or (not _let_17) _let_23 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_46)) :args ((or _let_45 _let_47 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_51 (not _let_53)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_61)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_63 _let_62) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (CONG (REFL :args (tptp.tyop_2Emin_2Ebool)) (CONG (REFL :args (_let_14)) (SYMM _let_63) :args (APPLY_UF tptp.c_2Einteger_2Eint__divides_2E2)) :args (APPLY_UF tptp.s)) (REFL :args (_let_32)) :args (=)) (FALSE_INTRO _let_62)) :args ((= _let_51 false)))) :args (_let_56 _let_60))) :args (_let_60 _let_56))) :args (true _let_61)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_34))) (REFL :args ((not _let_56))) (REFL :args (_let_57)) :args _let_39)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 1)) _let_41 :args (_let_60 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.c_2Einteger_2Eint__sub_2E2 (tptp.s tptp.tyop_2Einteger_2Eint V0x_2E0) (tptp.s tptp.tyop_2Einteger_2Eint V1y_2E0))))) :args _let_58)) _let_59 :args (_let_56 false _let_4)) :args (_let_57 true _let_34 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.c_2Einteger_2Eint__divides_2E2 (tptp.s tptp.tyop_2Einteger_2Eint V0p_2E0) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 (tptp.s tptp.tyop_2Einteger_2Eint V2r_2E0) (tptp.s tptp.tyop_2Einteger_2Eint V1q_2E0))))))) :args (_let_54)))) _let_55 :args (_let_53 false _let_54)) :args (_let_52 true _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.s tptp.tyop_2Emin_2Ebool BOUND_VARIABLE_1516)))) :args _let_49)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args _let_43) :args (_let_46 false _let_48)) :args (_let_47 true _let_45 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.c_2Einteger_2Eint__divides_2E2 (tptp.s tptp.tyop_2Einteger_2Eint BOUND_VARIABLE_1578) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 (tptp.s tptp.tyop_2Einteger_2Eint BOUND_VARIABLE_1580))))))) :args _let_44)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args _let_43) :args (_let_22 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_17 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_26)) :args ((or _let_10 _let_25 _let_30))) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args (3)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args (_let_35)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_39)) :args ((or _let_24 _let_35))) _let_41 :args (_let_24 true _let_35)) :args (_let_30 false _let_7 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_15 tptp.c_2Ebool_2ET_2E0 QUANTIFIERS_INST_E_MATCHING ((tptp.s tptp.tyop_2Emin_2Ebool V1_2E0) (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0)))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_17 true _let_26 false _let_27)) :args (false true _let_23 false _let_22 false _let_17)) :args ((forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0f_2E0 $$unsorted) (V1g_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (=> (forall ((V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V2x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (= (tptp.s A_27b (tptp.app_2E2 (tptp.s _let_2 V0f_2E0) _let_1)) (tptp.s A_27b (tptp.app_2E2 (tptp.s _let_2 V1g_2E0) _let_1)))))) (= (tptp.s _let_1 V0f_2E0) (tptp.s _let_1 V1g_2E0))))) _let_12 _let_7 _let_9 (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (or (= _let_1 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) (= _let_1 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))))) (forall ((A_27a $$unsorted) (V0x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V0x_2E0))) (= (tptp.s A_27a (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27a) tptp.combin_i_2E0) _let_1)) _let_1))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0x_2E0 $$unsorted) (V1y_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V0x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27b A_27a))) (= (tptp.s A_27a (tptp.app_2E2 (tptp.s _let_2 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_2) tptp.combin_k_2E0) _let_1)) (tptp.s A_27b V1y_2E0))) _let_1)))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (A_27c $$unsorted) (V0f_2E0 $$unsorted) (V1g_2E0 $$unsorted) (V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V2x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (let ((_let_3 (tptp.s _let_2 V1g_2E0))) (let ((_let_4 (tptp.tyop_2Emin_2Efun A_27b A_27c))) (let ((_let_5 (tptp.tyop_2Emin_2Efun A_27a _let_4))) (let ((_let_6 (tptp.s _let_5 V0f_2E0))) (let ((_let_7 (tptp.tyop_2Emin_2Efun A_27a A_27c))) (let ((_let_8 (tptp.tyop_2Emin_2Efun _let_2 _let_7))) (= (tptp.s A_27c (tptp.app_2E2 (tptp.s _let_7 (tptp.app_2E2 (tptp.s _let_8 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_5 _let_8) tptp.combin_s_2E0) _let_6)) _let_3)) _let_1)) (tptp.s A_27c (tptp.app_2E2 (tptp.s _let_4 (tptp.app_2E2 _let_6 _let_1)) (tptp.s A_27b (tptp.app_2E2 _let_3 _let_1)))))))))))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 _let_2 _let_1))) (and (tptp.p _let_2) (tptp.p _let_1)))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 _let_2 _let_1))) (or (tptp.p _let_2) (tptp.p _let_1)))))) (forall ((V0_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 _let_1))) (not (tptp.p _let_1))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 _let_2 _let_1))) (=> (tptp.p _let_2) (tptp.p _let_1)))))) (forall ((A_27a $$unsorted) (V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V1_2E0))) (let ((_let_2 (tptp.s A_27a V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 _let_2 _let_1))) (= _let_2 _let_1))))) (forall ((A_27a $$unsorted) (V0f_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0)))) (forall ((V1x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0) (tptp.s A_27a V1x_2E0))))))) (forall ((A_27a $$unsorted) (V0f_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0)))) (exists ((V1x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0) (tptp.s A_27a V1x_2E0))))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (and (tptp.p _let_2) (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_3) tptp.c_2Ebool_2E_2F_5C_2E0) _let_2)) _let_1)))))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (or (tptp.p _let_2) (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_3) tptp.c_2Ebool_2E_5C_2F_2E0) _let_2)) _let_1)))))))) (forall ((X0_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (= (not (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_7E_2E0) _let_1)))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (=> (tptp.p _let_2) (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_3) tptp.c_2Emin_2E_3D_3D_3E_2E0) _let_2)) _let_1)))))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a X1_2E0))) (let ((_let_2 (tptp.s A_27a X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (= (= _let_2 _let_1) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_3) tptp.c_2Emin_2E_3D_2E0) _let_2)) _let_1)))))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_21_2E0) _let_2)))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_3F_2E0) _let_2)))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Einteger_2Eint))) (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 _let_2 _let_1)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint _let_3) tptp.c_2Einteger_2Eint__add_2E0) _let_2)) _let_1))))))) (forall ((X0_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint X0_2E0))) (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 _let_1)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Einteger_2Eint) tptp.c_2Einteger_2Eint__neg_2E0) _let_1))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Emin_2Ebool))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 _let_2 _let_1)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint _let_3) tptp.c_2Einteger_2Eint__divides_2E0) _let_2)) _let_1))))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Einteger_2Eint X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Einteger_2Eint X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Einteger_2Eint))) (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__sub_2E2 _let_2 _let_1)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint _let_3) tptp.c_2Einteger_2Eint__sub_2E0) _let_2)) _let_1))))))) _let_7 (forall ((V0t1_2E0 $$unsorted) (V1t2_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1t2_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0t1_2E0))) (let ((_let_3 (tptp.p _let_2))) (let ((_let_4 (tptp.p _let_1))) (=> (=> _let_3 _let_4) (=> (=> _let_4 _let_3) (= _let_2 _let_1)))))))) (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (=> (=> _let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (not _let_1)))) (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (=> (not _let_1) (=> _let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))))) _let_11 (and (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (= (not (not _let_1)) _let_1))) (= _let_10 _let_8) (= _let_9 _let_7)) _let_5 (forall ((A_27a $$unsorted) (V0P_2E0 $$unsorted)) (= (not (forall ((V1x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0P_2E0) (tptp.s A_27a V1x_2E0)))))) (exists ((V2x_2E0 $$unsorted)) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0P_2E0) (tptp.s A_27a V2x_2E0)))))))) (forall ((A_27a $$unsorted) (V0P_2E0 $$unsorted) (V1Q_2E0 $$unsorted)) (= (forall ((V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V2x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_2 V0P_2E0) _let_1))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_2 V1Q_2E0) _let_1))))))) (and (forall ((V3x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0P_2E0) (tptp.s A_27a V3x_2E0))))) (forall ((V4x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V1Q_2E0) (tptp.s A_27a V4x_2E0)))))))) (forall ((V0A_2E0 $$unsorted) (V1B_2E0 $$unsorted) (V2C_2E0 $$unsorted)) (let ((_let_1 (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1B_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2C_2E0))))) (= _let_1 _let_1))) (forall ((V0A_2E0 $$unsorted) (V1B_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1B_2E0)))) (= (or _let_1 _let_2) (or _let_2 _let_1))))) (forall ((V0A_2E0 $$unsorted) (V1B_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1B_2E0)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0)))) (let ((_let_4 (not _let_3))) (and (= (not (and _let_3 _let_1)) (or _let_4 _let_2)) (= (not (or _let_3 _let_1)) (and _let_4 _let_2)))))))) _let_4 _let_3 _let_2 (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (= (not (not _let_1)) _let_1))) (forall ((V0A_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0)))) (=> _let_1 (=> (not _let_1) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))))) (forall ((V0B_2E0 $$unsorted) (V1A_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0B_2E0)))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1A_2E0)))) (= (=> (not (or _let_3 _let_2)) _let_1) (=> (=> _let_3 _let_1) (=> (not _let_2) _let_1))))))) (forall ((V0B_2E0 $$unsorted) (V1A_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0B_2E0)))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1A_2E0)))) (= (=> (not (or (not _let_3) _let_2)) _let_1) (=> _let_3 (=> (not _let_2) _let_1))))))) (forall ((V0A_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0)))) (=> (=> (not _let_2) _let_1) (=> (=> _let_2 _let_1) _let_1))))) (forall ((V0r_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2p_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0))) (let ((_let_4 (tptp.p _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0))) (let ((_let_7 (tptp.p _let_6))) (let ((_let_8 (not _let_7))) (= (= _let_1 (= _let_3 _let_6)) (and (or _let_1 _let_4 _let_7) (or _let_1 _let_8 _let_5) (or _let_4 _let_8 _let_2) (or _let_7 _let_5 _let_2)))))))))))) (forall ((V0r_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2p_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0)))) (let ((_let_4 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0)))) (= (= _let_1 (and _let_4 _let_3)) (and (or _let_1 (not _let_4) (not _let_3)) (or _let_4 _let_2) (or _let_3 _let_2)))))))) (forall ((V0r_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2p_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0)))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0)))) (= (= _let_1 (or _let_3 _let_2)) (and (or _let_1 (not _let_3)) (or _let_1 (not _let_2)) (or _let_3 _let_2 (not _let_1)))))))) (forall ((V0r_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2p_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0)))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0)))) (= (= _let_1 (=> _let_3 _let_2)) (and (or _let_1 _let_3) (or _let_1 (not _let_2)) (or (not _let_3) _let_2 (not _let_1)))))))) (forall ((V0q_2E0 $$unsorted) (V1p_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1p_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0q_2E0)))) (let ((_let_3 (not _let_2))) (= (= _let_1 _let_3) (and (or _let_1 _let_2) (or _let_3 (not _let_1)))))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.52/0.75  )
% 0.52/0.75  % SZS output end Proof for ITP012+1
% 0.52/0.75  % cvc5---1.0.5 exiting
% 0.52/0.76  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------