%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG073+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 : Wed Aug 30 16:08:07 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
% 0.00/0.13  % Problem    : ALG073+1 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n006.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   : Mon Aug 28 03:22:51 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.a7TT7dICgM/cvc5---1.0.5_20267.p...
% 0.22/0.55  ------- get file name : TPTP file name is ALG073+1
% 0.22/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20267.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 ALG073+1
% 0.22/0.55  % SZS output start Proof for ALG073+1
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (not (=> (and (forall ((U $$unsorted)) (=> (tptp.sorti1 U) (tptp.sorti2 (tptp.h U)))) (forall ((V $$unsorted)) (=> (tptp.sorti2 V) (tptp.sorti1 (tptp.j V))))) (not (and (forall ((W $$unsorted)) (=> (tptp.sorti1 W) (forall ((X $$unsorted)) (=> (tptp.sorti1 X) (= (tptp.h (tptp.op1 W X)) (tptp.op2 (tptp.h W) (tptp.h X))))))) (forall ((Y $$unsorted)) (=> (tptp.sorti2 Y) (forall ((Z $$unsorted)) (=> (tptp.sorti2 Z) (= (tptp.j (tptp.op2 Y Z)) (tptp.op1 (tptp.j Y) (tptp.j Z))))))) (forall ((X1 $$unsorted)) (=> (tptp.sorti2 X1) (= (tptp.h (tptp.j X1)) X1))) (forall ((X2 $$unsorted)) (=> (tptp.sorti1 X2) (= (tptp.j (tptp.h X2)) X2))))))))) (let ((_let_2 (not (exists ((U $$unsorted)) (and (tptp.sorti2 U) (exists ((V $$unsorted)) (and (tptp.sorti2 V) (= (tptp.op2 U U) V) (= (tptp.op2 V V) U) (not (= (tptp.op2 U V) U))))))))) (let ((_let_3 (exists ((U $$unsorted)) (and (tptp.sorti1 U) (exists ((V $$unsorted)) (and (tptp.sorti1 V) (= (tptp.op1 U U) V) (= (tptp.op1 V V) U) (not (= (tptp.op1 U V) U)))))))) (let ((_let_4 (tptp.op1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (tptp.op1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_7 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.op2 _let_7 _let_7))) (let ((_let_9 (tptp.h _let_4))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (tptp.op2 _let_7 _let_9))) (let ((_let_12 (= (tptp.h _let_5) _let_11))) (let ((_let_13 (tptp.j _let_7))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_15 (tptp.j _let_9))) (let ((_let_16 (= _let_4 _let_15))) (let ((_let_17 (= _let_7 (tptp.op2 _let_7 _let_8)))) (let ((_let_18 (= (tptp.j _let_11) (tptp.op1 _let_13 _let_15)))) (let ((_let_19 (tptp.op1 _let_4 _let_4))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.sorti1 _let_4))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.sorti1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21 _let_6))) (let ((_let_27 (not _let_6))) (let ((_let_28 (forall ((U $$unsorted)) (let ((_let_1 (tptp.op1 U U))) (or (not (tptp.sorti1 U)) (not (tptp.sorti1 _let_1)) (not (= U (tptp.op1 _let_1 _let_1))) (= U (tptp.op1 U _let_1))))))) (let ((_let_29 (not _let_26))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (or _let_25 _let_25 _let_10))) (let ((_let_35 (forall ((W $$unsorted) (BOUND_VARIABLE_840 $$unsorted)) (or (not (tptp.sorti1 W)) (not (tptp.sorti1 BOUND_VARIABLE_840)) (= (tptp.h (tptp.op1 W BOUND_VARIABLE_840)) (tptp.op2 (tptp.h W) (tptp.h BOUND_VARIABLE_840))))))) (let ((_let_36 (0))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_37)))) (let ((_let_39 (AND_ELIM _let_38 :args _let_36))) (let ((_let_40 (_let_35))) (let ((_let_41 ((tptp.op1 W BOUND_VARIABLE_840)))) (let ((_let_42 (ASSUME :args _let_40))) (let ((_let_43 (REFL :args (_let_26)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_31)) :args ((or _let_24 _let_26))) _let_33 :args (_let_24 true _let_26)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_34))) :args ((or _let_25 _let_10 (not _let_34)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_34 false _let_35)) :args (_let_10 false _let_24 false _let_34)))) (let ((_let_46 (or _let_25 _let_23 _let_12))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_31)) :args ((or _let_22 _let_26))) _let_33 :args (_let_22 true _let_26)))) (let ((_let_48 (or _let_25 _let_14))) (let ((_let_49 (forall ((X2 $$unsorted)) (or (not (tptp.sorti1 X2)) (= X2 (tptp.j (tptp.h X2))))))) (let ((_let_50 (AND_ELIM _let_38 :args (3)))) (let ((_let_51 (_let_49))) (let ((_let_52 ((not (= (tptp.sorti1 X2) false))))) (let ((_let_53 (ASSUME :args _let_51))) (let ((_let_54 (or _let_23 _let_16))) (let ((_let_55 (= _let_7 (tptp.op2 _let_8 _let_8)))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.sorti2 _let_8))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.sorti2 _let_7))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58 _let_56 _let_17))) (let ((_let_62 (forall ((U $$unsorted)) (let ((_let_1 (tptp.op2 U U))) (or (not (tptp.sorti2 U)) (not (tptp.sorti2 _let_1)) (not (= U (tptp.op2 _let_1 _let_1))) (= U (tptp.op2 U _let_1))))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (= (tptp.h _let_19) (tptp.op2 _let_9 _let_9)))) (let ((_let_65 (or _let_23 _let_23 _let_64))) (let ((_let_66 (and _let_20 _let_10 _let_64))) (let ((_let_67 (APPLY_UF tptp.op2))) (let ((_let_68 (ASSUME :args (_let_10)))) (let ((_let_69 (SYMM (SYMM _let_68)))) (let ((_let_70 (ASSUME :args (_let_64)))) (let ((_let_71 (ASSUME :args (_let_20)))) (let ((_let_72 (tptp.sorti2 _let_9))) (let ((_let_73 (or _let_23 _let_72))) (let ((_let_74 (forall ((U $$unsorted)) (or (not (tptp.sorti1 U)) (tptp.sorti2 (tptp.h U)))))) (let ((_let_75 (AND_ELIM (NOT_IMPLIES_ELIM1 _let_37) :args _let_36))) (let ((_let_76 (_let_74))) (let ((_let_77 ((not (= (tptp.sorti1 U) false))))) (let ((_let_78 (ASSUME :args _let_76))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_23 _let_72 (not _let_73)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_73 false _let_74)) :args (_let_72 false _let_22 false _let_73)))) (let ((_let_80 (and _let_72 _let_10))) (let ((_let_81 (_let_72 _let_10))) (let ((_let_82 (ASSUME :args (_let_72)))) (let ((_let_83 (or _let_25 _let_59))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_25 _let_59 (not _let_83)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_83 false _let_74)) :args (_let_59 false _let_24 false _let_83)))) (let ((_let_85 (not _let_72))) (let ((_let_86 (or _let_60 _let_85 _let_18))) (let ((_let_87 (forall ((Y $$unsorted) (BOUND_VARIABLE_863 $$unsorted)) (or (not (tptp.sorti2 Y)) (not (tptp.sorti2 BOUND_VARIABLE_863)) (= (tptp.j (tptp.op2 Y BOUND_VARIABLE_863)) (tptp.op1 (tptp.j Y) (tptp.j BOUND_VARIABLE_863))))))) (let ((_let_88 (_let_87))) (let ((_let_89 (and _let_27 _let_10 _let_12 _let_14 _let_16 _let_17))) (let ((_let_90 (ASSUME :args (_let_27)))) (let ((_let_91 (ASSUME :args (_let_16)))) (let ((_let_92 (ASSUME :args (_let_14)))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (APPLY_UF tptp.j))) (let ((_let_95 (ASSUME :args (_let_17)))) (let ((_let_96 (ASSUME :args (_let_12)))) (let ((_let_97 (SYMM _let_96))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_92 _let_95 _let_68 _let_96 _let_91) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_97 :args _let_94) (CONG (TRANS (SYMM _let_97) (CONG (REFL :args (_let_7)) _let_69 :args _let_67) (SYMM _let_95)) :args _let_94) _let_93) (CONG _let_93 (SYMM _let_91) :args (APPLY_UF tptp.op1)) :args (=)) (FALSE_INTRO _let_90))) :args (_let_27 _let_14 _let_17 _let_10 _let_12 _let_16))) :args (_let_27 _let_10 _let_12 _let_14 _let_16 _let_17))) :args (true _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_6))) (REFL :args ((not _let_10))) (REFL :args ((not _let_12))) (REFL :args ((not _let_14))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) (REFL :args ((not _let_18))) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_60 _let_85 _let_18 (not _let_86)))) _let_84 _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_88) :args (_let_7 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.op2 Y BOUND_VARIABLE_863)))) :args _let_88)) (AND_ELIM _let_38 :args (1)) :args (_let_86 false _let_87)) :args (_let_18 false _let_59 false _let_72 false _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_58 _let_56 _let_17 (not _let_61)))) _let_84 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_80)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_68) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_69) :args (APPLY_UF tptp.sorti2)) (TRUE_INTRO _let_82))) :args _let_81)) :args _let_81)) :args (true _let_80)) _let_79 _let_45 :args (_let_57 false _let_72 false _let_10)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_70 _let_71) (SCOPE (TRANS (CONG (SYMM (SYMM _let_71)) :args (APPLY_UF tptp.h)) (SYMM (SYMM _let_70)) (CONG _let_69 _let_69 :args _let_67)) :args (_let_10 _let_64 _let_20))) :args (_let_20 _let_10 _let_64))) :args (true _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 2)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_31)) :args ((or _let_20 _let_26))) _let_33 :args (_let_20 true _let_26)) _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_65))) :args ((or _let_23 _let_64 (not _let_65)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_4 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_65 false _let_35)) :args (_let_64 false _let_22 false _let_65)) :args (_let_55 false _let_20 false _let_10 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sorti2 (tptp.op2 U U)) false))))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_17 false _let_59 false _let_57 false _let_55 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_23 _let_16 (not _let_54)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_54 false _let_49)) :args (_let_16 false _let_22 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_25 _let_14 (not _let_48)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_48 false _let_49)) :args (_let_14 false _let_24 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_25 _let_23 _let_12 (not _let_46)))) _let_44 _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_46 false _let_35)) :args (_let_12 false _let_24 false _let_22 false _let_46)) _let_45 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 3)) _let_33 :args (_let_27 true _let_26)) :args (false false _let_18 false _let_17 false _let_16 false _let_14 false _let_12 false _let_10 true _let_6)) :args ((forall ((U $$unsorted)) (=> (tptp.sorti1 U) (forall ((V $$unsorted)) (=> (tptp.sorti1 V) (tptp.sorti1 (tptp.op1 U V)))))) (forall ((U $$unsorted)) (=> (tptp.sorti2 U) (forall ((V $$unsorted)) (=> (tptp.sorti2 V) (tptp.sorti2 (tptp.op2 U V)))))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55  )
% 0.22/0.55  % SZS output end Proof for ALG073+1
% 0.22/0.55  % cvc5---1.0.5 exiting
% 0.22/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------