TSTP Solution File: SET162+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET162+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 14:38:00 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET162+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 14:51:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.C1oIIumVw9/cvc5---1.0.5_25747.p...
% 0.21/0.53 ------- get file name : TPTP file name is SET162+3
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25747.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Theorem for SET162+3
% 0.21/0.53 % SZS output start Proof for SET162+3
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (not (forall ((B $$unsorted)) (= (tptp.union B tptp.empty_set) B))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))))) (let ((_let_3 (forall ((B $$unsorted)) (not (tptp.member B tptp.empty_set))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_5 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 tptp.empty_set))) (let ((_let_6 (_let_3))) (let ((_let_7 (ASSUME :args _let_6))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (or _let_8 _let_5))) (let ((_let_10 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set))) (let ((_let_11 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 _let_10))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (_let_4))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.union B C))))) :args _let_13)) _let_14 :args (_let_12 false _let_4)))) (let ((_let_16 (= _let_8 _let_11))) (let ((_let_17 (forall ((D $$unsorted)) (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set)))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (not _let_17))) (let ((_let_22 (_let_2))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (forall ((B $$unsorted)) (= B (tptp.union B tptp.empty_set))))) (let ((_let_25 (not _let_19))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (not _let_24))) (let ((_let_29 (_let_21))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_29)) :args _let_29)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_20)) :args ((or _let_19 _let_21 (not _let_20)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_27)) _let_26 :args (_let_25 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_ENUM)) :args _let_22)) _let_23 :args (_let_20 false _let_2)) :args (_let_21 true _let_19 false _let_20)) :args (_let_18 true _let_17)))) (let ((_let_31 (_let_16))) (let ((_let_32 (not _let_12))) (let ((_let_33 (not _let_9))) (let ((_let_34 (_let_12))) (let ((_let_35 (not _let_8))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_9 0)) :args ((or _let_35 _let_9))) (REORDERING (CNF_EQUIV_POS2 :args _let_34) :args ((or _let_11 _let_33 _let_32))) _let_15 (REORDERING (CNF_EQUIV_NEG1 :args _let_31) :args ((or _let_8 _let_11 _let_16))) _let_30 :args (_let_11 true _let_9 false _let_12 false _let_8 true _let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_7 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member B tptp.empty_set) false))))) :args _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_8 _let_5 _let_33))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_31) _let_30 _let_36 :args (_let_35 true _let_16 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_34) :args ((or (not _let_11) _let_9 _let_32))) _let_36 _let_15 :args (_let_9 false _let_11 false _let_12)) :args (_let_5 true _let_8 false _let_9)) _let_7 :args (false false _let_5 false _let_3)) :args (_let_4 _let_3 (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))))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SET162+3
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------