%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP019+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 03:16:01 EDT 2023

% Result   : Theorem 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP019+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 11:26:40 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6YjsO41kWS/cvc5---1.0.5_8357.p...
% 0.22/0.55  ------- get file name : TPTP file name is ITP019+1
% 0.22/0.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8357.smt2...
% 0.22/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Theorem for ITP019+1
% 0.22/0.55  % SZS output start Proof for ITP019+1
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (not (forall ((V0z_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal))) (let ((_let_2 (tptp.s _let_1 (tptp.c_2Ecomplex_2Ecomplex__of__num_2E1 (tptp.s tptp.tyop_2Enum_2Enum tptp.c_2Enum_2E0_2E0))))) (let ((_let_3 (tptp.s _let_1 V0z_2E0))) (=> (not (= _let_3 _let_2)) (not (= (tptp.s _let_1 (tptp.c_2Ecomplex_2Ecomplex__inv_2E1 _let_3)) _let_2)))))))))) (let ((_let_2 (forall ((V0z_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal))) (let ((_let_2 (tptp.s _let_1 (tptp.c_2Ecomplex_2Ecomplex__of__num_2E1 (tptp.s tptp.tyop_2Enum_2Enum tptp.c_2Enum_2E0_2E0))))) (let ((_let_3 (tptp.s _let_1 V0z_2E0))) (= (= (tptp.s _let_1 (tptp.c_2Ecomplex_2Ecomplex__inv_2E1 _let_3)) _let_2) (= _let_3 _let_2)))))))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)))) (let ((_let_4 (forall ((V0z_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal))) (let ((_let_2 (tptp.s _let_1 V0z_2E0))) (let ((_let_3 (tptp.s _let_1 (tptp.c_2Ecomplex_2Ecomplex__of__num_2E1 (tptp.s tptp.tyop_2Enum_2Enum tptp.c_2Enum_2E0_2E0))))) (= (= _let_3 (tptp.s _let_1 (tptp.c_2Ecomplex_2Ecomplex__inv_2E1 _let_2))) (= _let_3 _let_2)))))))) (let ((_let_5 (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal))) (let ((_let_6 (tptp.s _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.s _let_5 (tptp.c_2Ecomplex_2Ecomplex__of__num_2E1 (tptp.s tptp.tyop_2Enum_2Enum tptp.c_2Enum_2E0_2E0))))) (let ((_let_8 (= _let_7 (tptp.s _let_5 (tptp.c_2Ecomplex_2Ecomplex__inv_2E1 _let_6))))) (let ((_let_9 (= _let_7 _let_6))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (not _let_8))) (let ((_let_14 (or _let_9 _let_13))) (let ((_let_15 (forall ((V0z_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal))) (let ((_let_2 (tptp.s _let_1 V0z_2E0))) (let ((_let_3 (tptp.s _let_1 (tptp.c_2Ecomplex_2Ecomplex__of__num_2E1 (tptp.s tptp.tyop_2Enum_2Enum tptp.c_2Enum_2E0_2E0))))) (or (= _let_3 _let_2) (not (= _let_3 (tptp.s _let_1 (tptp.c_2Ecomplex_2Ecomplex__inv_2E1 _let_2))))))))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.s _let_5 V0z_2E0)))) :args (_let_4)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_10)) :args ((or _let_9 _let_13 _let_12))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 0)) _let_20 :args ((not _let_9) true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_8))) :args _let_18)) :args ((or _let_8 _let_14))) _let_20 :args (_let_8 true _let_14)) :args (_let_12 true _let_9 false _let_8)) _let_11 :args (false true _let_10 false _let_4)) :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 $$unsorted)) (let ((_let_1 (tptp.s A_27a V2x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (= (tptp.s A_27b (tptp.app_2E2 (tptp.s _let_2 V0f_2E0) _let_1)) (tptp.s A_27b (tptp.app_2E2 (tptp.s _let_2 V1g_2E0) _let_1)))))) (= (tptp.s _let_1 V0f_2E0) (tptp.s _let_1 V1g_2E0))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (=> (= (tptp.p _let_2) (tptp.p _let_1)) (= _let_2 _let_1))))) _let_3 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (forall ((V0t_2E0 $$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 $$unsorted)) (let ((_let_1 (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s _let_1 (tptp.c_2Ecomplex_2Ecomplex__inv_2E1 _let_2)) (tptp.s _let_1 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 _let_1) tptp.c_2Ecomplex_2Ecomplex__inv_2E0) _let_2)))))) (forall ((X0_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Enum_2Enum X0_2E0))) (let ((_let_2 (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal))) (= (tptp.s _let_2 (tptp.c_2Ecomplex_2Ecomplex__of__num_2E1 _let_1)) (tptp.s _let_2 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum _let_2) tptp.c_2Ecomplex_2Ecomplex__of__num_2E0) _let_1)))))) _let_3 (forall ((A_27a $$unsorted) (V0t_2E0 $$unsorted)) (= (forall ((V1x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (forall ((V0t_2E0 $$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_2 _let_1 true)))))))))))))))))))))))
% 0.22/0.56  )
% 0.22/0.56  % SZS output end Proof for ITP019+1
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------