TSTP Solution File: SET867+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET867+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 14:40:49 EDT 2023
% Result : Theorem 0.23s 0.54s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET867+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n004.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 14:52:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SAiFY9UkVS/cvc5---1.0.5_25316.p...
% 0.23/0.54 ------- get file name : TPTP file name is SET867+1
% 0.23/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25316.smt2...
% 0.23/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.54 % SZS status Theorem for SET867+1
% 0.23/0.54 % SZS output start Proof for SET867+1
% 0.23/0.54 (
% 0.23/0.54 (let ((_let_1 (tptp.union tptp.empty_set))) (let ((_let_2 (not (= _let_1 tptp.empty_set)))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (and (tptp.in C D) (tptp.in D A))))))))) (let ((_let_4 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))))) (let ((_let_5 (forall ((B $$unsorted)) (not (tptp.in B tptp.empty_set))))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.empty_set))) (let ((_let_7 (forall ((A $$unsorted)) (= (forall ((B $$unsorted)) (not (tptp.in B A))) (= tptp.empty_set A))))) (let ((_let_8 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_9 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_8 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_7)))) _let_8 :args (_let_5 false _let_7)))) (let ((_let_10 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 D)) (not (tptp.in D tptp.empty_set)))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (= _let_6 _let_11))) (let ((_let_13 (forall ((C $$unsorted)) (= (tptp.in C tptp.empty_set) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D tptp.empty_set))))))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (= tptp.empty_set _let_1))) (let ((_let_16 (= _let_15 _let_13))) (let ((_let_17 (not _let_13))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D A))))))))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (_let_17))) (let ((_let_22 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 tptp.empty_set))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) _let_23))) (let ((_let_25 (_let_5))) (let ((_let_26 ((not (= (tptp.in B tptp.empty_set) false))))) (let ((_let_27 (ASSUME :args _let_25))) (let ((_let_28 (_let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_12)) :args ((or _let_6 _let_11 _let_12))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_28)) :args _let_28)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) (REFL :args ((not _let_24))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG (REFL :args (_let_24)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_20)) :args ((or _let_22 _let_24))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25)) _let_9 :args (_let_23 false _let_5)) :args (_let_24 true _let_22)) :args (_let_10 false _let_24)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_21)) :args _let_21)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) (REFL :args (_let_14)) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_16)) :args ((or _let_15 _let_17 (not _let_16)))) (SYMM (ASSUME :args (_let_2))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.empty_set tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_18))) _let_19 :args (_let_16 false _let_18)) :args (_let_17 true _let_15 false _let_16)) :args (_let_14 true _let_13)) :args (_let_6 false _let_10 true _let_12)) _let_9 :args (false false _let_6 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_4 _let_3 (tptp.empty tptp.empty_set) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_2 true)))))))))))))))))))))))))))))))
% 0.23/0.54 )
% 0.23/0.54 % SZS output end Proof for SET867+1
% 0.23/0.54 % cvc5---1.0.5 exiting
% 0.23/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------