%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG029+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 16:07:55 EDT 2023

% Result   : Theorem 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ALG029+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n015.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   : Mon Aug 28 05:58:54 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OPlSifrmov/cvc5---1.0.5_30982.p...
% 0.20/0.53  ------- get file name : TPTP file name is ALG029+1
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30982.smt2...
% 0.20/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Theorem for ALG029+1
% 0.20/0.53  % SZS output start Proof for ALG029+1
% 0.20/0.53  (
% 0.20/0.53  (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 (forall ((U $$unsorted)) (=> (tptp.sorti2 U) (forall ((V $$unsorted)) (=> (tptp.sorti2 V) (= (tptp.op2 U V) (tptp.op2 V U))))))))) (let ((_let_3 (forall ((U $$unsorted)) (=> (tptp.sorti1 U) (forall ((V $$unsorted)) (=> (tptp.sorti1 V) (= (tptp.op1 U V) (tptp.op1 V U)))))))) (let ((_let_4 (tptp.op2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (= (tptp.op2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_4))) (let ((_let_6 (tptp.j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.op1 _let_7 _let_6))) (let ((_let_9 (= (tptp.j _let_4) _let_8))) (let ((_let_10 (tptp.h _let_6))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_12 (tptp.h _let_7))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_14 (tptp.op1 _let_6 _let_7))) (let ((_let_15 (= _let_14 _let_8))) (let ((_let_16 (= (tptp.h _let_14) (tptp.op2 _let_10 _let_12)))) (let ((_let_17 (= (tptp.h _let_8) (tptp.op2 _let_12 _let_10)))) (let ((_let_18 (tptp.sorti2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.sorti2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_5))) (let ((_let_23 (not _let_5))) (let ((_let_24 (forall ((U $$unsorted) (BOUND_VARIABLE_772 $$unsorted)) (or (not (tptp.sorti2 U)) (not (tptp.sorti2 BOUND_VARIABLE_772)) (= (tptp.op2 U BOUND_VARIABLE_772) (tptp.op2 BOUND_VARIABLE_772 U)))))) (let ((_let_25 (not _let_22))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (not _let_24))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_27)) _let_26 :args (_let_25 true _let_24)))) (let ((_let_30 (or _let_19 _let_21 _let_9))) (let ((_let_31 (forall ((Y $$unsorted) (BOUND_VARIABLE_825 $$unsorted)) (or (not (tptp.sorti2 Y)) (not (tptp.sorti2 BOUND_VARIABLE_825)) (= (tptp.j (tptp.op2 Y BOUND_VARIABLE_825)) (tptp.op1 (tptp.j Y) (tptp.j BOUND_VARIABLE_825))))))) (let ((_let_32 (1))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_33)))) (let ((_let_35 (_let_31))) (let ((_let_36 (REFL :args (_let_22)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_27)) :args ((or _let_18 _let_22))) _let_29 :args (_let_18 true _let_22)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_27)) :args ((or _let_20 _let_22))) _let_29 :args (_let_20 true _let_22)))) (let ((_let_39 (or _let_21 _let_11))) (let ((_let_40 (forall ((X1 $$unsorted)) (or (not (tptp.sorti2 X1)) (= X1 (tptp.h (tptp.j X1))))))) (let ((_let_41 (AND_ELIM _let_34 :args (2)))) (let ((_let_42 (_let_40))) (let ((_let_43 ((not (= (tptp.sorti2 X1) false))))) (let ((_let_44 (ASSUME :args _let_42))) (let ((_let_45 (or _let_19 _let_13))) (let ((_let_46 (tptp.sorti1 _let_7))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.sorti1 _let_6))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47 _let_15))) (let ((_let_51 (forall ((U $$unsorted) (BOUND_VARIABLE_750 $$unsorted)) (or (not (tptp.sorti1 U)) (not (tptp.sorti1 BOUND_VARIABLE_750)) (= (tptp.op1 U BOUND_VARIABLE_750) (tptp.op1 BOUND_VARIABLE_750 U)))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (or _let_19 _let_46))) (let ((_let_54 (forall ((V $$unsorted)) (or (not (tptp.sorti2 V)) (tptp.sorti1 (tptp.j V)))))) (let ((_let_55 (AND_ELIM (NOT_IMPLIES_ELIM1 _let_33) :args _let_32))) (let ((_let_56 (_let_54))) (let ((_let_57 ((not (= (tptp.sorti2 V) false))))) (let ((_let_58 (ASSUME :args _let_56))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_19 _let_46 (not _let_53)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_53 false _let_54)) :args (_let_46 false _let_18 false _let_53)))) (let ((_let_60 (or _let_21 _let_48))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_21 _let_48 (not _let_60)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_60 false _let_54)) :args (_let_48 false _let_20 false _let_60)))) (let ((_let_62 (or _let_49 _let_47 _let_16))) (let ((_let_63 (forall ((W $$unsorted) (BOUND_VARIABLE_802 $$unsorted)) (or (not (tptp.sorti1 W)) (not (tptp.sorti1 BOUND_VARIABLE_802)) (= (tptp.h (tptp.op1 W BOUND_VARIABLE_802)) (tptp.op2 (tptp.h W) (tptp.h BOUND_VARIABLE_802))))))) (let ((_let_64 (AND_ELIM _let_34 :args (0)))) (let ((_let_65 (_let_63))) (let ((_let_66 ((tptp.op1 W BOUND_VARIABLE_802)))) (let ((_let_67 (ASSUME :args _let_65))) (let ((_let_68 (or _let_47 _let_49 _let_17))) (let ((_let_69 (and _let_23 _let_9 _let_11 _let_13 _let_15 _let_16))) (let ((_let_70 (ASSUME :args (_let_23)))) (let ((_let_71 (APPLY_UF tptp.op2))) (let ((_let_72 (ASSUME :args (_let_11)))) (let ((_let_73 (SYMM _let_72))) (let ((_let_74 (ASSUME :args (_let_13)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (ASSUME :args (_let_16)))) (let ((_let_77 (APPLY_UF tptp.h))) (let ((_let_78 (ASSUME :args (_let_15)))) (let ((_let_79 (ASSUME :args (_let_9)))) (let ((_let_80 (SYMM _let_79))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_69)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_72 _let_74 _let_76 _let_78 _let_79) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_80 :args _let_77) (CONG (TRANS (SYMM _let_80) (SYMM _let_78)) :args _let_77) (SYMM (SYMM _let_76)) (CONG _let_73 _let_75 :args _let_71)) (CONG _let_75 _let_73 :args _let_71) :args (=)) (FALSE_INTRO _let_70))) :args (_let_23 _let_11 _let_13 _let_16 _let_15 _let_9))) :args (_let_23 _let_9 _let_11 _let_13 _let_15 _let_16))) :args (true _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_5))) (REFL :args ((not _let_9))) (REFL :args ((not _let_11))) (REFL :args ((not _let_13))) (REFL :args ((not _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_49 _let_47 _let_17 (not _let_68)))) _let_61 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_7 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_68 false _let_63)) :args (_let_17 false _let_48 false _let_46 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_49 _let_47 _let_16 (not _let_62)))) _let_61 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_6 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_62 false _let_63)) :args (_let_16 false _let_48 false _let_46 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_47 _let_15 (not _let_50)))) _let_61 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_6 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.op1 U BOUND_VARIABLE_750)))) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_15 false _let_48 false _let_46 false _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_19 _let_13 (not _let_45)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_45 false _let_40)) :args (_let_13 false _let_18 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_21 _let_11 (not _let_39)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_39 false _let_40)) :args (_let_11 false _let_20 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_21 _let_19 _let_9 (not _let_30)))) _let_38 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.op2 Y BOUND_VARIABLE_825)))) :args _let_35)) (AND_ELIM _let_34 :args _let_32) :args (_let_30 false _let_31)) :args (_let_9 false _let_20 false _let_18 false _let_30)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 2)) _let_29 :args (_let_23 true _let_22)) :args (false false _let_17 false _let_16 false _let_15 false _let_13 false _let_11 false _let_9 true _let_5)) :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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54  )
% 0.20/0.54  % SZS output end Proof for ALG029+1
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------