TSTP Solution File: SET578+3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET578+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 14:39:10 EDT 2023
% Result : Theorem 0.14s 0.45s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET578+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.12/0.29 % Computer : n032.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Sat Aug 26 10:51:58 EDT 2023
% 0.12/0.30 % CPUTime :
% 0.14/0.39 %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.45 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kLi7th2Bb8/cvc5---1.0.5_29368.p...
% 0.14/0.45 ------- get file name : TPTP file name is SET578+3
% 0.14/0.45 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29368.smt2...
% 0.14/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.14/0.45 % SZS status Theorem for SET578+3
% 0.14/0.45 % SZS output start Proof for SET578+3
% 0.14/0.45 (
% 0.14/0.45 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted)) (= (tptp.member E B) (and (tptp.member E C) (tptp.member E D)))) (= B (tptp.intersection C D))))))) (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 $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))))) (let ((_let_4 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 _let_5))) (let ((_let_7 (= _let_6 _let_4))) (let ((_let_8 (forall ((D $$unsorted)) (= (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_9 (not _let_7))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_11 (= _let_10 _let_8))) (let ((_let_12 (not _let_8))) (let ((_let_13 (_let_2))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (forall ((E $$unsorted)) (= (tptp.member E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (and (tptp.member E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.member E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_10))) (let ((_let_18 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (forall ((E $$unsorted)) (= (tptp.member E B) (and (tptp.member E C) (tptp.member E D))))) (= B (tptp.intersection C D)))))) (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 (_let_12))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_24)) :args _let_24)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_8))) (REFL :args (_let_9)) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_11)) :args ((or _let_10 _let_12 (not _let_11)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 1)) _let_23 :args ((not _let_10) true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_13))) _let_14 :args (_let_11 false _let_2)) :args (_let_12 true _let_10 false _let_11)) :args (_let_9 true _let_8)))) (let ((_let_26 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_27 (= _let_6 _let_26))) (let ((_let_28 (_let_3))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.intersection B C))))) :args _let_28)) _let_29 :args (_let_27 false _let_3)))) (let ((_let_31 (= _let_4 _let_26))) (let ((_let_32 (not _let_27))) (let ((_let_33 (_let_27))) (let ((_let_34 (_let_15))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.member E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) :args _let_34)) (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_15))) :args _let_21)) :args ((or _let_15 _let_17))) _let_23 :args (_let_15 true _let_17)) :args (_let_31 false _let_15)))) (let ((_let_36 (not _let_31))) (let ((_let_37 (_let_31))) (let ((_let_38 (_let_7))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_38) :args ((or _let_6 _let_4 _let_7))) _let_25 (REORDERING (CNF_EQUIV_POS1 :args _let_37) :args ((or (not _let_4) _let_26 _let_36))) _let_35 (REORDERING (CNF_EQUIV_POS1 :args _let_33) :args ((or (not _let_6) _let_26 _let_32))) _let_30 :args (_let_26 true _let_7 true _let_4 false _let_31 true _let_6 false _let_27)))) (let ((_let_40 (not _let_26))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_38) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_37) :args ((or _let_4 _let_40 _let_36))) _let_39 _let_35 :args (_let_4 false _let_26 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_33) :args ((or _let_6 _let_40 _let_32))) _let_39 _let_30 :args (_let_6 false _let_26 false _let_27)) _let_25 :args (false false _let_4 false _let_6 true _let_7)) :args (_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection 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)) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))
% 0.14/0.45 )
% 0.14/0.45 % SZS output end Proof for SET578+3
% 0.14/0.45 % cvc5---1.0.5 exiting
% 0.14/0.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------