TSTP Solution File: SET605+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 14:39:23 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.12/0.35 % Computer : n022.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sat Aug 26 14:51:55 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WZuUEuInWW/cvc5---1.0.5_27623.p...
% 0.20/0.53 ------- get file name : TPTP file name is SET605+3
% 0.20/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27623.smt2...
% 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Theorem for SET605+3
% 0.20/0.53 % SZS output start Proof for SET605+3
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.difference B (tptp.union B C)) tptp.empty_set))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (= (tptp.difference B C) tptp.empty_set) (tptp.subset B C))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (tptp.subset B (tptp.union B C))))) (let ((_let_4 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (= tptp.empty_set (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4)))) (let ((_let_6 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4))) (let ((_let_7 (= _let_5 _let_6))) (let ((_let_8 (forall ((B $$unsorted) (C $$unsorted)) (= tptp.empty_set (tptp.difference B (tptp.union B C)))))) (let ((_let_9 (not _let_5))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (not _let_8))) (let ((_let_12 (_let_3))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (= tptp.empty_set (tptp.difference B C)))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_7)) :args ((or _let_5 (not _let_6) (not _let_7)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.difference B C)))) :args (_let_14)))) _let_15 :args (_let_7 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.union B C)))) :args _let_12)) _let_13 :args (_let_6 false _let_3)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_10) :args (_let_11))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_8))) (REFL :args (_let_9)) :args (or))) _let_10 :args (_let_9 true _let_8)) :args (false false _let_7 false _let_6 true _let_5)) :args (_let_3 _let_2 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))) (forall ((B $$unsorted)) (not (tptp.member B tptp.empty_set))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))) (forall ((B $$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 $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) (forall ((B $$unsorted)) (= (tptp.empty B) (forall ((C $$unsorted)) (not (tptp.member C B))))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) _let_1 true))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for SET605+3
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------