TSTP Solution File: ALG177+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG177+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 16:08:31 EDT 2023
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG177+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:44:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vsom5JRUSc/cvc5---1.0.5_19368.p...
% 0.20/0.52 ------- get file name : TPTP file name is ALG177+1
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19368.smt2...
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for ALG177+1
% 0.20/0.52 % SZS output start Proof for ALG177+1
% 0.20/0.52 (
% 0.20/0.52 (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) (not (= (tptp.op2 U V) V))))))))) (let ((_let_3 (exists ((U $$unsorted)) (and (tptp.sorti1 U) (forall ((V $$unsorted)) (=> (tptp.sorti1 V) (not (= (tptp.op1 U V) V)))))))) (let ((_let_4 (forall ((V $$unsorted)) (or (not (tptp.sorti1 V)) (not (= V (tptp.op1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 V))))))) (let ((_let_5 (tptp.j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (= _let_5 (tptp.op1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5)))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.sorti1 _let_5))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (not _let_4))) (let ((_let_12 (tptp.sorti1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11))) (let ((_let_15 (forall ((U $$unsorted)) (or (not (tptp.sorti1 U)) (not (forall ((V $$unsorted)) (or (not (tptp.sorti1 V)) (not (= V (tptp.op1 U V)))))))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (let ((_let_21 (REFL :args (_let_14)))) (let ((_let_22 (not _let_10))) (let ((_let_23 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (tptp.j _let_23))) (let ((_let_25 (tptp.op2 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_26 (= (tptp.j _let_25) (tptp.op1 _let_24 _let_5)))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_25))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_29 (tptp.sorti2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.sorti2 _let_23))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_26))) (let ((_let_34 (forall ((Y $$unsorted) (BOUND_VARIABLE_817 $$unsorted)) (or (not (tptp.sorti2 Y)) (not (tptp.sorti2 BOUND_VARIABLE_817)) (= (tptp.j (tptp.op2 Y BOUND_VARIABLE_817)) (tptp.op1 (tptp.j Y) (tptp.j BOUND_VARIABLE_817))))))) (let ((_let_35 (1))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_36)))) (let ((_let_38 (_let_34))) (let ((_let_39 (not _let_27))) (let ((_let_40 (or _let_30 _let_39))) (let ((_let_41 (forall ((V $$unsorted)) (or (not (tptp.sorti2 V)) (not (= V (tptp.op2 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V))))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (not _let_41))) (let ((_let_44 (or _let_32 _let_43))) (let ((_let_45 (forall ((U $$unsorted)) (or (not (tptp.sorti2 U)) (not (forall ((V $$unsorted)) (or (not (tptp.sorti2 V)) (not (= V (tptp.op2 U V)))))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or _let_13 _let_31))) (let ((_let_48 (forall ((U $$unsorted)) (or (not (tptp.sorti1 U)) (tptp.sorti2 (tptp.h U)))))) (let ((_let_49 (NOT_IMPLIES_ELIM1 _let_36))) (let ((_let_50 (_let_48))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_18)) :args ((or _let_12 _let_14))) _let_20 :args (_let_12 true _let_14)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_13 _let_31 (not _let_47)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti1 U) false))))) :args _let_50)) (AND_ELIM _let_49 :args (0)) :args (_let_47 false _let_48)) :args (_let_31 false _let_12 false _let_47)))) (let ((_let_53 (_let_43))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_41))) (REFL :args (_let_42)) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_32 _let_43 (not _let_44)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti2 U) false))))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_43 false _let_31 false _let_44)) :args (_let_42 true _let_41)))) (let ((_let_55 (REFL :args (_let_40)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_18)) :args ((or _let_29 _let_40))) _let_54 :args (_let_29 true _let_40)))) (let ((_let_57 (or _let_13 _let_28))) (let ((_let_58 (forall ((X2 $$unsorted)) (or (not (tptp.sorti1 X2)) (= X2 (tptp.j (tptp.h X2))))))) (let ((_let_59 (_let_58))) (let ((_let_60 (and _let_28 _let_27 _let_26))) (let ((_let_61 (ASSUME :args (_let_28)))) (let ((_let_62 (ASSUME :args (_let_26)))) (let ((_let_63 (ASSUME :args (_let_27)))) (let ((_let_64 (or _let_30 _let_8))) (let ((_let_65 (forall ((V $$unsorted)) (or (not (tptp.sorti2 V)) (tptp.sorti1 (tptp.j V)))))) (let ((_let_66 (_let_65))) (let ((_let_67 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_67) :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti1 V) false))))) :args _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_7 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_30 _let_8 (not _let_64)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_66) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti2 V) false))))) :args _let_66)) (AND_ELIM _let_49 :args _let_35) :args (_let_64 false _let_65)) :args (_let_8 false _let_29 false _let_64)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_62 _let_63) (SCOPE (TRANS (CONG (SYMM (SYMM _let_63)) :args (APPLY_UF tptp.j)) (SYMM (SYMM _let_62)) (CONG (SYMM _let_61) (REFL :args (_let_5)) :args (APPLY_UF tptp.op1))) :args (_let_28 _let_26 _let_27))) :args (_let_28 _let_27 _let_26))) :args (true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_13 _let_28 (not _let_57)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sorti1 X2) false))))) :args _let_59)) (AND_ELIM _let_37 :args (3)) :args (_let_57 false _let_58)) :args (_let_28 false _let_12 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_27))) :args _let_18)) :args ((or _let_27 _let_40))) _let_54 :args (_let_27 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 _let_26 (not _let_33)))) _let_52 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_38) :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.op2 Y BOUND_VARIABLE_817)))) :args _let_38)) (AND_ELIM _let_37 :args _let_35) :args (_let_33 false _let_34)) :args (_let_26 false _let_31 false _let_29 false _let_33)) :args (_let_6 false _let_28 false _let_27 false _let_26)) :args (_let_22 false _let_8 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_4))) :args _let_18)) :args ((or _let_4 _let_14))) _let_20 :args (_let_4 true _let_14)) :args (false true _let_10 false _let_4)) :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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for ALG177+1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------