TSTP Solution File: SET921+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET921+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 14:41:00 EDT 2023
% Result : Theorem 10.39s 10.60s
% Output : Proof 10.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET921+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 13:54:09 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 10.39/10.60 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.s01WYtIJ2R/cvc5---1.0.5_16723.p...
% 10.39/10.60 ------- get file name : TPTP file name is SET921+1
% 10.39/10.60 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16723.smt2...
% 10.39/10.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.39/10.60 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.39/10.60 % SZS status Theorem for SET921+1
% 10.39/10.60 % SZS output start Proof for SET921+1
% 10.39/10.60 (
% 10.39/10.60 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.in A (tptp.set_difference B (tptp.singleton C))) (and (tptp.in A B) (not (= A C))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_difference A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (not (tptp.in D B))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_5 (forall ((C $$unsorted)) (= (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_6 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_6 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_10)))) _let_11 :args (_let_5 false _let_10)))) (let ((_let_13 (not _let_9))) (let ((_let_14 (not _let_7))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6))) (let ((_let_18 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (not _let_16))) (let ((_let_21 (forall ((D $$unsorted)) (let ((_let_1 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (= (tptp.in D (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (not (tptp.in D _let_1)))))))) (let ((_let_22 (_let_3))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (_let_21))) (let ((_let_25 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_24) :args _let_25) :args _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_22))) _let_23 :args (_let_21 false _let_3)) :args (_let_19 false _let_21)))) (let ((_let_27 (not _let_8))) (let ((_let_28 (and _let_15 _let_27))) (let ((_let_29 (= _let_18 _let_28))) (let ((_let_30 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_6))) (let ((_let_31 (not _let_18))) (let ((_let_32 (not _let_29))) (let ((_let_33 (_let_2))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (or))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_34) :args _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_32)) :args _let_35)) _let_34 :args (_let_32 true _let_1)))) (let ((_let_37 (_let_29))) (let ((_let_38 (not _let_19))) (let ((_let_39 (_let_19))) (let ((_let_40 (not _let_15))) (let ((_let_41 (REFL :args (_let_40)))) (let ((_let_42 (_let_28))) (let ((_let_43 (_let_5))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_7))))) (let ((_let_46 (ASSUME :args (_let_14)))) (let ((_let_47 (ASSUME :args (_let_8)))) (let ((_let_48 (ASSUME :args (_let_30)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_46 _let_47 _let_48) :args (_let_8 _let_14 _let_30)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_48)) (CONG (SYMM _let_47) (REFL :args (_let_6)) :args (APPLY_UF tptp.in)) (FALSE_INTRO _let_46))) :args (_let_14 _let_8 _let_30)) :args ((not (and _let_8 _let_14 _let_30)) SB_LITERAL))) (CONG (REFL :args (_let_27)) _let_45 (REFL :args ((not _let_30))) :args _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_43))) _let_12 :args (_let_30 false _let_5)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_42) (CONG (REFL :args _let_42) _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_8))) :args _let_35)) :args ((or _let_8 _let_28 _let_40))) (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_14 _let_20))) (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_15 _let_20))) (REORDERING (CNF_EQUIV_POS1 :args _let_39) :args ((or _let_31 _let_16 _let_38))) _let_26 (CNF_EQUIV_NEG2 :args _let_37) _let_36 :args (_let_31 false _let_30 false _let_8 true _let_7 false _let_15 false _let_16 false _let_19 true _let_28 true _let_29)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_37) :args ((or _let_18 _let_28 _let_29))) _let_49 _let_36 :args (_let_28 true _let_18 true _let_29)))) (let ((_let_51 (not _let_28))) (let ((_let_52 (_let_16))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_25) :args _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_9)) :args ((or _let_8 _let_14 _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_27 _let_51))) _let_50 :args (_let_27 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_52) (CONG (REFL :args _let_52) _let_41 _let_45 :args _let_35)) :args ((or _let_40 _let_7 _let_16))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_15 _let_51))) _let_50 :args (_let_15 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_39) :args ((or _let_18 _let_20 _let_38))) _let_49 _let_26 :args (_let_20 true _let_18 false _let_19)) :args (_let_7 false _let_15 true _let_16)) :args (_let_13 true _let_8 false _let_7)) _let_12 :args (false true _let_9 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_4 _let_3 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.39/10.60 )
% 10.39/10.60 % SZS output end Proof for SET921+1
% 10.39/10.60 % cvc5---1.0.5 exiting
% 10.39/10.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------