TSTP Solution File: SET617+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET617+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 14:39:30 EDT 2023
% Result : Theorem 0.18s 0.51s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET617+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 11:25:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.sNHMPB6LrK/cvc5---1.0.5_5312.p...
% 0.18/0.51 ------- get file name : TPTP file name is SET617+3
% 0.18/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5312.smt2...
% 0.18/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.51 % SZS status Theorem for SET617+3
% 0.18/0.51 % SZS output start Proof for SET617+3
% 0.18/0.51 (
% 0.18/0.51 (let ((_let_1 (not (forall ((B $$unsorted)) (and (= (tptp.symmetric_difference B tptp.empty_set) B) (= (tptp.symmetric_difference tptp.empty_set B) B)))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.symmetric_difference C B))))) (let ((_let_3 (forall ((B $$unsorted)) (= (tptp.difference tptp.empty_set B) tptp.empty_set)))) (let ((_let_4 (forall ((B $$unsorted)) (= (tptp.difference B tptp.empty_set) B)))) (let ((_let_5 (forall ((B $$unsorted)) (= (tptp.union B tptp.empty_set) B)))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.union (tptp.difference B C) (tptp.difference C B)))))) (let ((_let_7 (forall ((BOUND_VARIABLE_701 $$unsorted)) (= BOUND_VARIABLE_701 (tptp.symmetric_difference BOUND_VARIABLE_701 tptp.empty_set))))) (let ((_let_8 (forall ((BOUND_VARIABLE_707 $$unsorted)) (= BOUND_VARIABLE_707 (tptp.symmetric_difference tptp.empty_set BOUND_VARIABLE_707))))) (let ((_let_9 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_11 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set))) (let ((_let_12 (= _let_11 (tptp.union _let_11 tptp.empty_set)))) (let ((_let_13 (tptp.difference tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (= tptp.empty_set _let_13))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_16 (= _let_9 (tptp.union _let_11 _let_13)))) (let ((_let_17 (forall ((B $$unsorted)) (= B (tptp.union B tptp.empty_set))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (_let_17))) (let ((_let_20 ((tptp.union B tptp.empty_set)))) (let ((_let_21 (forall ((B $$unsorted)) (= tptp.empty_set (tptp.difference tptp.empty_set B))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 ((not (= (tptp.difference tptp.empty_set B) tptp.empty_set))))) (let ((_let_25 (forall ((B $$unsorted)) (= B (tptp.difference B tptp.empty_set))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 ((tptp.difference B tptp.empty_set)))) (let ((_let_29 (_let_6))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (and _let_16 _let_15 _let_14 _let_12))) (let ((_let_32 (ASSUME :args (_let_16)))) (let ((_let_33 (APPLY_UF tptp.union))) (let ((_let_34 (ASSUME :args (_let_14)))) (let ((_let_35 (ASSUME :args (_let_12)))) (let ((_let_36 (ASSUME :args (_let_15)))) (let ((_let_37 (or))) (let ((_let_38 (not _let_7))) (let ((_let_39 (_let_38))) (let ((_let_40 (tptp.symmetric_difference tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_41 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_40))) (let ((_let_42 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.empty_set))) (let ((_let_43 (= _let_42 (tptp.union _let_42 tptp.empty_set)))) (let ((_let_44 (tptp.difference tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (= tptp.empty_set _let_44))) (let ((_let_46 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_42))) (let ((_let_47 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.empty_set))) (let ((_let_48 (= _let_47 (tptp.union _let_42 _let_44)))) (let ((_let_49 (= _let_40 _let_47))) (let ((_let_50 (_let_2))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (and _let_49 _let_48 _let_46 _let_45 _let_43))) (let ((_let_53 (ASSUME :args (_let_49)))) (let ((_let_54 (ASSUME :args (_let_48)))) (let ((_let_55 (ASSUME :args (_let_45)))) (let ((_let_56 (ASSUME :args (_let_43)))) (let ((_let_57 (ASSUME :args (_let_46)))) (let ((_let_58 (not _let_8))) (let ((_let_59 (_let_58))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_59)) :args _let_59)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_8))) (REFL :args ((not _let_41))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_54 _let_55 _let_56 _let_57) (SCOPE (TRANS (SYMM (SYMM _let_57)) (SYMM (SYMM _let_56)) (CONG (REFL :args (_let_42)) (SYMM (SYMM _let_55)) :args _let_33) (SYMM _let_54) (SYMM _let_53)) :args (_let_49 _let_48 _let_45 _let_43 _let_46))) :args (_let_49 _let_48 _let_46 _let_45 _let_43))) :args (true _let_52)) :args ((or _let_41 (not _let_49) (not _let_48) (not _let_46) (not _let_45) (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.symmetric_difference B C)))) :args _let_50)) _let_51 :args (_let_49 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.difference B C)))) :args _let_29)) _let_30 :args (_let_48 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_46 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_45 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_43 false _let_17)) :args (_let_41 false _let_49 false _let_48 false _let_46 false _let_45 false _let_43)) :args (_let_8 false _let_41)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_39)) :args _let_39)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_7))) (REFL :args ((not _let_10))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_31)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_32 _let_34 _let_35 _let_36) (SCOPE (TRANS (SYMM (SYMM _let_36)) (SYMM (SYMM _let_35)) (CONG (REFL :args (_let_11)) (SYMM (SYMM _let_34)) :args _let_33) (SYMM _let_32)) :args (_let_16 _let_14 _let_12 _let_15))) :args (_let_16 _let_15 _let_14 _let_12))) :args (true _let_31)) :args ((or _let_10 (not _let_16) (not _let_15) (not _let_14) (not _let_12)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.symmetric_difference B C)))) :args _let_29)) _let_30 :args (_let_16 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_15 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_14 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_12 false _let_17)) :args (_let_10 false _let_16 false _let_15 false _let_14 false _let_12)) :args (_let_7 false _let_10)) :args (false false _let_8 false _let_7)) :args (_let_6 _let_5 _let_4 _let_3 (forall ((B $$unsorted)) (not (tptp.member B tptp.empty_set))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))) _let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) (forall ((B $$unsorted)) (= (tptp.empty B) (forall ((C $$unsorted)) (not (tptp.member C B))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.52 )
% 0.18/0.52 % SZS output end Proof for SET617+3
% 0.18/0.52 % cvc5---1.0.5 exiting
% 0.18/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------