TSTP Solution File: KRS172+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS172+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 05:41:42 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS172+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 01:10:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.AIKW9BCJgW/cvc5---1.0.5_19326.p...
% 0.21/0.53 ------- get file name : TPTP file name is KRS172+1
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19326.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Theorem for KRS172+1
% 0.21/0.53 % SZS output start Proof for KRS172+1
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rq X Y) (tptp.rp X Y))))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_3 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_2 _let_1)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rq X Y) (tptp.cd X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rq X Y) (tptp.rq X Z)) (= Y Z))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rp X Y) (tptp.cd X))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rp X Y) (tptp.rp X Z)) (= Y Z))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.cd X) (tptp.rp X tptp.iv))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.cd X) (tptp.rq X tptp.iv))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_11 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rq X Y)) (not (tptp.rq X Z)) (= Y Z))))) (let ((_let_13 (= tptp.iv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.rq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.iv))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.rq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.iv))) (let ((_let_22 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (not _let_13))) (let ((_let_24 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (= _let_24 _let_21))) (let ((_let_26 (_let_8))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (not _let_22))) (let ((_let_29 (or _let_28 _let_24))) (let ((_let_30 (or _let_17 _let_24))) (let ((_let_31 (= _let_16 _let_22))) (let ((_let_32 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rp X Y)) (tptp.cd X))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rq X Y)) (tptp.cd X))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (not _let_31))) (let ((_let_37 (forall ((BOUND_VARIABLE_945 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_945))))) (let ((_let_38 (forall ((BOUND_VARIABLE_940 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_940)))) (let ((_let_39 (not _let_1))) (let ((_let_40 (forall ((BOUND_VARIABLE_910 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_910))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (forall ((BOUND_VARIABLE_905 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_905)))) (let ((_let_43 (or))) (let ((_let_44 (_let_39))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_1))) (REFL :args (_let_36)) :args _let_43)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_10 (= X X)))) :args ((or _let_2 (not _let_10)))) (ASSUME :args (_let_10)) :args (_let_2 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_42 (= BOUND_VARIABLE_905 BOUND_VARIABLE_940)))) :args ((or _let_38 (not _let_42)))) (AND_ELIM _let_41 :args (0)) :args (_let_38 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_40 (= BOUND_VARIABLE_910 BOUND_VARIABLE_945)))) :args ((or _let_37 (not _let_40)))) (AND_ELIM _let_41 :args (1)) :args (_let_37 false _let_40)) :args (_let_39 false _let_2 false _let_38 false _let_37)) :args (_let_36 true _let_1)))) (let ((_let_46 (_let_31))) (let ((_let_47 (REORDERING (CNF_EQUIV_NEG1 :args _let_46) :args ((or _let_16 _let_22 _let_31))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST _let_47 _let_45 (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_17 _let_24 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rq X Y) false))))) :args (_let_34))) _let_35 :args (_let_30 false _let_34)) (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_24 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rp X Y) false))))) :args (_let_32))) _let_33 :args (_let_29 false _let_32)) :args (_let_24 true _let_31 true _let_16 false _let_30 true _let_22 false _let_29)))) (let ((_let_49 (not _let_24))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or _let_49 _let_21 (not _let_25)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cd X)))) :args _let_26)) _let_27 :args (_let_25 false _let_8)) :args (_let_21 false _let_24 false _let_25)))) (let ((_let_51 (not _let_21))) (let ((_let_52 (or _let_28 _let_51 _let_13))) (let ((_let_53 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rp X Y)) (not (tptp.rp X Z)) (= Y Z))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (= _let_24 _let_14))) (let ((_let_56 (_let_9))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_55)) :args ((or _let_49 _let_14 (not _let_55)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cd X)))) :args _let_56)) _let_57 :args (_let_55 false _let_9)) :args (_let_14 false _let_24 false _let_55)))) (let ((_let_59 (REFL :args (_let_23)))) (let ((_let_60 (ASSUME :args (_let_14)))) (let ((_let_61 (ASSUME :args (_let_13)))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_64 (ASSUME :args (_let_17)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_60 _let_61 _let_64) :args (_let_17 _let_14 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_64)) (CONG _let_63 _let_62 :args (APPLY_UF tptp.rq)) (TRUE_INTRO _let_60))) :args (_let_14 _let_13 _let_17)) :args ((not (and _let_17 _let_14 _let_13)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) (REFL :args (_let_15)) _let_59 :args _let_43)) _let_58 (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_28 _let_51 _let_13 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.iv QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rp X Y) false)) (not (= (tptp.rp X Z) false))))) :args (_let_53)))) _let_54 :args (_let_52 false _let_53)) _let_50 (CNF_EQUIV_NEG2 :args _let_46) _let_45 :args (_let_28 false _let_14 false _let_13 false _let_52 false _let_21 true _let_16 true _let_31)))) (let ((_let_66 (ASSUME :args (_let_21)))) (let ((_let_67 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.iv QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rq X Y) false)) (not (= (tptp.rq X Z) false))))) :args (_let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_15 _let_13 _let_20))) (MACRO_RESOLUTION_TRUST _let_47 _let_65 _let_45 :args (_let_16 true _let_22 true _let_31)) _let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_66 _let_61 _let_67) :args (_let_28 _let_21 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_67)) (CONG _let_63 _let_62 :args (APPLY_UF tptp.rp)) (TRUE_INTRO _let_66))) :args (_let_21 _let_13 _let_28)) :args ((not (and _let_28 _let_21 _let_13)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_22))) (REFL :args (_let_51)) _let_59 :args _let_43)) _let_65 _let_50 :args (_let_23 true _let_22 false _let_21)) :args (_let_20 false _let_16 false _let_14 true _let_13)) _let_19 :args (false true _let_18 false _let_12)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cd A)) (tptp.cd B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlNothing A)) (tptp.cowlNothing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlThing A)) (tptp.cowlThing B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rp A C)) (tptp.rp B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rp C A)) (tptp.rp C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rq A C)) (tptp.rq B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rq C A)) (tptp.rq C B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_integer A)) (tptp.xsd_integer B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_string A)) (tptp.xsd_string B))) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (tptp.cowlThing tptp.iv) _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for KRS172+1
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------