TSTP Solution File: SET618+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 14:39:31 EDT 2023
% Result : Theorem 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 11:04:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Fkm1MOenEO/cvc5---1.0.5_2188.p...
% 0.22/0.54 ------- get file name : TPTP file name is SET618+3
% 0.22/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2188.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54 % SZS status Theorem for SET618+3
% 0.22/0.54 % SZS output start Proof for SET618+3
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (not (forall ((B $$unsorted)) (= (tptp.symmetric_difference B B) tptp.empty_set))))) (let ((_let_2 (forall ((B $$unsorted)) (= (tptp.difference B B) tptp.empty_set)))) (let ((_let_3 (forall ((B $$unsorted)) (= (tptp.union B B) B)))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.union (tptp.difference B C) (tptp.difference C B)))))) (let ((_let_5 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (= tptp.empty_set _let_5))) (let ((_let_7 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.union _let_7 _let_7))) (let ((_let_9 (= _let_5 _let_8))) (let ((_let_10 (= _let_7 _let_8))) (let ((_let_11 (= tptp.empty_set _let_7))) (let ((_let_12 (forall ((B $$unsorted)) (= tptp.empty_set (tptp.symmetric_difference B B))))) (let ((_let_13 (not _let_6))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (or))) (let ((_let_16 (_let_13))) (let ((_let_17 (not _let_12))) (let ((_let_18 (_let_4))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (forall ((B $$unsorted)) (= B (tptp.union B B))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (forall ((B $$unsorted)) (= tptp.empty_set (tptp.difference B B))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (and _let_13 _let_9 _let_10))) (let ((_let_25 (_let_13 _let_9 _let_10))) (let ((_let_26 (ASSUME :args _let_16))) (let ((_let_27 (ASSUME :args (_let_9)))) (let ((_let_28 (ASSUME :args (_let_10)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_24)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_26 _let_27 _let_28) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.empty_set)) (TRANS (SYMM (SYMM _let_28)) (SYMM _let_27)) :args (=)) (FALSE_INTRO _let_26))) :args _let_25)) :args _let_25)) :args (true _let_24)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_6))) (REFL :args ((not _let_9))) (REFL :args ((not _let_10))) (REFL :args ((not _let_11))) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.difference B B) tptp.empty_set))))) :args (_let_22))) _let_23 :args (_let_11 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.union B B)))) :args (_let_20))) _let_21 :args (_let_10 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.symmetric_difference B C)))) :args _let_18)) _let_19 :args (_let_9 false _let_4)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_14) :args (_let_17))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_12))) (REFL :args _let_16) :args _let_15)) _let_14 :args (_let_13 true _let_12)) :args (false false _let_11 false _let_10 false _let_9 true _let_6)) :args (_let_4 _let_3 _let_2 (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 $$unsorted)) (= (tptp.union B C) (tptp.union C B))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.symmetric_difference C B))) (forall ((B $$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)))))))))))))))))))))))))))))))
% 0.22/0.55 )
% 0.22/0.55 % SZS output end Proof for SET618+3
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------