%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG040+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 16:07:59 EDT 2023

% Result   : Theorem 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : ALG040+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 02:59:43 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OpkZV2Ps7w/cvc5---1.0.5_22328.p...
% 0.21/0.55  ------- get file name : TPTP file name is ALG040+1
% 0.21/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22328.smt2...
% 0.21/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Theorem for ALG040+1
% 0.21/0.55  % SZS output start Proof for ALG040+1
% 0.21/0.55  (
% 0.21/0.55  (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 $$unsorted)) (and (tptp.sorti2 U) (forall ((V $$unsorted)) (=> (tptp.sorti2 V) (= (tptp.op2 V V) U)))))))) (let ((_let_3 (exists ((U $$unsorted)) (and (tptp.sorti1 U) (forall ((V $$unsorted)) (=> (tptp.sorti1 V) (= (tptp.op1 V V) U))))))) (let ((_let_4 (tptp.op2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (= _let_5 _let_4))) (let ((_let_7 (tptp.j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.op1 _let_7 _let_7))) (let ((_let_9 (= (tptp.j _let_4) _let_8))) (let ((_let_10 (tptp.h _let_7))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10))) (let ((_let_12 (= (tptp.h _let_8) (tptp.op2 _let_10 _let_10)))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_14 (tptp.sorti2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_6))) (let ((_let_17 (forall ((V $$unsorted)) (or (not (tptp.sorti2 V)) (= (tptp.op2 V V) (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (not _let_17))) (let ((_let_20 (tptp.sorti2 _let_5))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.sorti2 U)) (not (forall ((V $$unsorted)) (or (not (tptp.sorti2 V)) (= U (tptp.op2 V V))))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (tptp.sorti1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_20))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.sorti1 U)) (tptp.sorti2 (tptp.h U)))))) (let ((_let_29 (0))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (NOT_IMPLIES_ELIM1 _let_30))) (let ((_let_32 (_let_28))) (let ((_let_33 (forall ((V $$unsorted)) (or (not (tptp.sorti1 V)) (= (tptp.op1 V V) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_26 _let_34))) (let ((_let_36 (forall ((U $$unsorted)) (or (not (tptp.sorti1 U)) (not (forall ((V $$unsorted)) (or (not (tptp.sorti1 V)) (= U (tptp.op1 V V))))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_38) :args (_let_40)) (REWRITE :args ((=> _let_40 (not (or _let_26 (not (forall ((V $$unsorted)) (or (not (tptp.sorti1 V)) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.op1 V V)))))))))))) (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 (REFL :args (_let_35)))) (let ((_let_43 (_let_19))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43) (REWRITE :args ((=> _let_19 (not (or _let_15 (= _let_4 _let_5)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_17))) (REFL :args (_let_18)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_20 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_39)) :args ((or _let_25 _let_35))) _let_41 :args (_let_25 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti1 U) false))))) :args _let_32)) (AND_ELIM _let_31 :args _let_29) :args (_let_27 false _let_28)) :args (_let_20 false _let_25 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti2 U) false))))) :args (_let_23)))) _let_24 :args (_let_22 false _let_23)) :args (_let_19 false _let_20 false _let_22)) :args (_let_18 true _let_17)))) (let ((_let_45 (or _let_15 _let_15 _let_9))) (let ((_let_46 (forall ((Y $$unsorted) (BOUND_VARIABLE_813 $$unsorted)) (or (not (tptp.sorti2 Y)) (not (tptp.sorti2 BOUND_VARIABLE_813)) (= (tptp.j (tptp.op2 Y BOUND_VARIABLE_813)) (tptp.op1 (tptp.j Y) (tptp.j BOUND_VARIABLE_813))))))) (let ((_let_47 (1))) (let ((_let_48 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_30)))) (let ((_let_49 (_let_46))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_39)) :args ((or _let_14 _let_16))) _let_44 :args (_let_14 true _let_16)))) (let ((_let_51 (or _let_15 _let_11))) (let ((_let_52 (forall ((X1 $$unsorted)) (or (not (tptp.sorti2 X1)) (= X1 (tptp.h (tptp.j X1))))))) (let ((_let_53 (_let_52))) (let ((_let_54 (tptp.sorti1 _let_7))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_55 _let_12))) (let ((_let_57 (forall ((W $$unsorted) (BOUND_VARIABLE_790 $$unsorted)) (or (not (tptp.sorti1 W)) (not (tptp.sorti1 BOUND_VARIABLE_790)) (= (tptp.h (tptp.op1 W BOUND_VARIABLE_790)) (tptp.op2 (tptp.h W) (tptp.h BOUND_VARIABLE_790))))))) (let ((_let_58 (_let_57))) (let ((_let_59 (or _let_15 _let_54))) (let ((_let_60 (forall ((V $$unsorted)) (or (not (tptp.sorti2 V)) (tptp.sorti1 (tptp.j V)))))) (let ((_let_61 (_let_60))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_15 _let_54 (not _let_59)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti2 V) false))))) :args _let_61)) (AND_ELIM _let_31 :args _let_47) :args (_let_59 false _let_60)) :args (_let_54 false _let_14 false _let_59)))) (let ((_let_63 (or _let_55 _let_13))) (let ((_let_64 (_let_33))) (let ((_let_65 (and _let_9 _let_11 _let_12 _let_13))) (let ((_let_66 (ASSUME :args (_let_11)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (ASSUME :args (_let_12)))) (let ((_let_69 (APPLY_UF tptp.h))) (let ((_let_70 (ASSUME :args (_let_9)))) (let ((_let_71 (SYMM _let_70))) (let ((_let_72 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_65)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_66 _let_68 _let_70 _let_72) (SCOPE (TRANS (CONG (TRANS (SYMM (SYMM _let_72)) _let_71) :args _let_69) (CONG (SYMM _let_71) :args _let_69) (SYMM (SYMM _let_68)) (CONG _let_67 _let_67 :args (APPLY_UF tptp.op2))) :args (_let_11 _let_12 _let_9 _let_13))) :args (_let_9 _let_11 _let_12 _let_13))) :args (true _let_65)) :args ((or _let_6 (not _let_9) (not _let_11) (not _let_12) (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_55 _let_13 (not _let_63)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti1 V) false))))) :args _let_64))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 1)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_39)) :args ((or _let_33 _let_35))) _let_41 :args (_let_33 true _let_35)) :args (_let_63 false _let_33)) :args (_let_13 false _let_54 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_56))) :args ((or _let_55 _let_12 (not _let_56)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args (_let_7 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.op1 W BOUND_VARIABLE_790)))) :args _let_58)) (AND_ELIM _let_48 :args _let_29) :args (_let_56 false _let_57)) :args (_let_12 false _let_54 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_15 _let_11 (not _let_51)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_53) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti2 X1) false))))) :args _let_53)) (AND_ELIM _let_48 :args (2)) :args (_let_51 false _let_52)) :args (_let_11 false _let_14 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_45))) :args ((or _let_15 _let_9 (not _let_45)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.op2 Y BOUND_VARIABLE_813)))) :args _let_49)) (AND_ELIM _let_48 :args _let_47) :args (_let_45 false _let_46)) :args (_let_9 false _let_14 false _let_45)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 1)) _let_44 :args ((not _let_6) true _let_16)) :args (false false _let_13 false _let_12 false _let_11 false _let_9 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55  )
% 0.21/0.55  % SZS output end Proof for ALG040+1
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------