TSTP Solution File: KRS144+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS144+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 05:41:36 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
% 0.03/0.12 % Problem : KRS144+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 01:29:20 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.f9UEE4Jgd0/cvc5---1.0.5_1931.p...
% 0.20/0.52 ------- get file name : TPTP file name is KRS144+1
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1931.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 KRS144+1
% 0.20/0.52 % SZS output start Proof for KRS144+1
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_2 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_1 (forall ((X $$unsorted)) (=> (tptp.cc X) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.rp X Y0) (tptp.rp X Y1) (tptp.rp X Y2)) (or (= Y0 Y1) (= Y0 Y2) (= Y1 Y2)))))) (forall ((X $$unsorted)) (=> (tptp.cc X) (exists ((Y0 $$unsorted) (Y1 $$unsorted)) (and (tptp.rp X Y0) (tptp.rp X Y1) (not (= Y0 Y1)))))))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.cc X) (and (exists ((Y0 $$unsorted) (Y1 $$unsorted)) (and (tptp.rp X Y0) (tptp.rp X Y1) (not (= Y0 Y1)))) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.rp X Y0) (tptp.rp X Y1) (tptp.rp X Y2)) (or (= Y0 Y1) (= Y0 Y2) (= Y1 Y2))))))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_5 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_10 _let_8 _let_7 _let_6))) (let ((_let_16 (and (not (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y0)) (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y1)) (= Y0 Y1)))) _let_15))) (let ((_let_17 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (forall ((X $$unsorted) (BOUND_VARIABLE_895 $$unsorted) (BOUND_VARIABLE_893 $$unsorted) (BOUND_VARIABLE_891 $$unsorted)) (or (not (tptp.cc X)) (and (not (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rp X Y0)) (not (tptp.rp X Y1)) (= Y0 Y1)))) (or (not (tptp.rp X BOUND_VARIABLE_891)) (not (tptp.rp X BOUND_VARIABLE_893)) (not (tptp.rp X BOUND_VARIABLE_895)) (= BOUND_VARIABLE_891 BOUND_VARIABLE_893) (= BOUND_VARIABLE_891 BOUND_VARIABLE_895) (= BOUND_VARIABLE_893 BOUND_VARIABLE_895))))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (_let_20))) (let ((_let_23 (or _let_18 _let_10 _let_12 _let_14 _let_6 _let_7 _let_8))) (let ((_let_24 (forall ((X $$unsorted) (BOUND_VARIABLE_940 $$unsorted) (BOUND_VARIABLE_938 $$unsorted) (BOUND_VARIABLE_936 $$unsorted)) (or (not (tptp.cc X)) (not (tptp.rp X BOUND_VARIABLE_936)) (not (tptp.rp X BOUND_VARIABLE_938)) (not (tptp.rp X BOUND_VARIABLE_940)) (= BOUND_VARIABLE_936 BOUND_VARIABLE_938) (= BOUND_VARIABLE_936 BOUND_VARIABLE_940) (= BOUND_VARIABLE_938 BOUND_VARIABLE_940))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (forall ((BOUND_VARIABLE_917 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_917))))) (let ((_let_27 (forall ((BOUND_VARIABLE_912 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_912)))) (let ((_let_28 (forall ((X $$unsorted)) (or (not (tptp.cc X)) (not (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rp X Y0)) (not (tptp.rp X Y1)) (= Y0 Y1)))))))) (let ((_let_29 (not _let_24))) (let ((_let_30 (forall ((BOUND_VARIABLE_862 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_862))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (forall ((BOUND_VARIABLE_857 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_857)))) (let ((_let_33 (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y0)) (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y1)) (= Y0 Y1))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34))) (let ((_let_38 (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y0)) (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y1)) (= Y0 Y1))))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_36 _let_39))) (let ((_let_41 (or))) (let ((_let_42 (REFL :args (_let_37)))) (let ((_let_43 (not _let_28))) (let ((_let_44 (_let_43))) (let ((_let_45 (_let_29))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45) (REWRITE :args ((=> _let_29 (not (or _let_18 _let_10 _let_12 _let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_24))) (REFL :args (_let_25)) :args _let_41)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_4 (= X X)))) :args ((or _let_1 (not _let_4)))) (ASSUME :args (_let_4)) :args (_let_1 false _let_4)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_28))) (REFL :args ((not _let_37))) :args _let_41)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_33 (= Y0 Y0) (= Y1 Y1)))) (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_36 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_22))) _let_21 :args (_let_40 false _let_20)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_41)) :args ((or _let_33 _let_37))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_41)) :args ((or _let_35 _let_37))) :args (_let_37 true _let_38 false _let_40 false _let_33 false _let_35)) :args (_let_28 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_32 (= BOUND_VARIABLE_857 BOUND_VARIABLE_912)))) :args ((or _let_27 (not _let_32)))) (AND_ELIM _let_31 :args (0)) :args (_let_27 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_30 (= BOUND_VARIABLE_862 BOUND_VARIABLE_917)))) :args ((or _let_26 (not _let_30)))) (AND_ELIM _let_31 :args (1)) :args (_let_26 false _let_30)) :args (_let_29 false _let_1 false _let_28 false _let_27 false _let_26)) :args (_let_25 true _let_24)))) (let ((_let_47 (REFL :args (_let_23)))) (let ((_let_48 (not _let_15))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_15 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_10 _let_12 _let_14 _let_6 _let_7 _let_8 _let_48))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_41)) :args ((or _let_9 _let_23))) _let_46 :args (_let_9 true _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 2)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_41)) :args ((or _let_11 _let_23))) _let_46 :args (_let_11 true _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 3)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_41)) :args ((or _let_13 _let_23))) _let_46 :args (_let_13 true _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 4)) _let_46 :args ((not _let_6) true _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 5)) _let_46 :args ((not _let_7) true _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 6)) _let_46 :args ((not _let_8) true _let_23)) :args (_let_48 false _let_9 false _let_11 false _let_13 true _let_6 true _let_7 true _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_16 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_41)) :args ((or _let_17 _let_23))) _let_46 :args (_let_17 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.rp X BOUND_VARIABLE_891) (tptp.rp X BOUND_VARIABLE_893) (tptp.rp X BOUND_VARIABLE_895)))) :args _let_22)) _let_21 :args (_let_19 false _let_20)) :args (_let_16 false _let_17 false _let_19)) :args (false true _let_15 false _let_16)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cc A)) (tptp.cc 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)) (=> (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_5 _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for KRS144+1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------