TSTP Solution File: SET185+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET185+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 14:38:07 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 : SET185+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 11:50:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6rEuSDTLhn/cvc5---1.0.5_11725.p...
% 0.21/0.53 ------- get file name : TPTP file name is SET185+3
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11725.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 SET185+3
% 0.21/0.53 % SZS output start Proof for SET185+3
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.subset B C) (= (tptp.union B C) C)))))) (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) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_5 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_6 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (or _let_8 _let_6))) (let ((_let_10 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (= _let_10 _let_5))) (let ((_let_12 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (or (not (tptp.member D B)) (tptp.member D C))))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_16 (not _let_10))) (let ((_let_17 (or _let_16 _let_15))) (let ((_let_18 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.subset B C)) (= C (tptp.union B C)))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (or))) (let ((_let_22 (not _let_18))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_20) :args (_let_22))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args (_let_19)) :args _let_21)) _let_20 :args (_let_19 true _let_18)))) (let ((_let_24 (not _let_9))) (let ((_let_25 (or _let_7 _let_6))) (let ((_let_26 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_14))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (_let_4))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.union B C))))) :args _let_28)) _let_29 :args (_let_27 false _let_4)))) (let ((_let_31 (= _let_6 _let_26))) (let ((_let_32 (forall ((D $$unsorted)) (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (= _let_15 _let_32))) (let ((_let_35 (not _let_32))) (let ((_let_36 (_let_2))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (_let_35))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_38)) :args _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_32))) (REFL :args (_let_33)) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_34)) :args ((or _let_15 _let_35 (not _let_34)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 1)) _let_23 :args ((not _let_15) true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 QUANTIFIERS_INST_ENUM)) :args _let_36)) _let_37 :args (_let_34 false _let_2)) :args (_let_35 true _let_15 false _let_34)) :args (_let_33 true _let_32)))) (let ((_let_40 (_let_31))) (let ((_let_41 (not _let_27))) (let ((_let_42 (not _let_25))) (let ((_let_43 (_let_27))) (let ((_let_44 (not _let_6))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_25 1)) :args ((or _let_44 _let_25))) (REORDERING (CNF_EQUIV_POS2 :args _let_43) :args ((or _let_26 _let_42 _let_41))) _let_30 (REORDERING (CNF_EQUIV_NEG1 :args _let_40) :args ((or _let_6 _let_26 _let_31))) _let_39 :args (_let_26 true _let_25 false _let_27 false _let_6 true _let_31)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_40) _let_39 _let_45 :args (_let_44 true _let_31 false _let_26)))) (let ((_let_47 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_6 _let_8 _let_24))) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_6 _let_7 _let_42))) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_43) :args ((or (not _let_26) _let_25 _let_41))) _let_45 _let_30 :args (_let_25 false _let_26 false _let_27)) :args (_let_7 true _let_6 false _let_25)) :args (_let_24 true _let_6 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_16 _let_5 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 0)) (CONG (REFL :args (_let_17)) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_10))) :args _let_21)) :args ((or _let_10 _let_17))) _let_23 :args (_let_10 true _let_17)) (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.subset B C)))) :args (_let_12))) _let_13 :args (_let_11 false _let_12)) :args (_let_5 false _let_10 false _let_11)) :args (false true _let_9 false _let_5)) :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)) (tptp.subset B B)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for SET185+3
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------