%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET908+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 14:40:57 EDT 2023

% Result   : Theorem 0.66s 0.87s
% Output   : Proof 0.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : SET908+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sat Aug 26 13:51:56 EDT 2023
% 0.18/0.33  % CPUTime    : 
% 0.19/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.66/0.87  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fYPWdhY4dQ/cvc5---1.0.5_30058.p...
% 0.66/0.87  ------- get file name : TPTP file name is SET908+1
% 0.66/0.87  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30058.smt2...
% 0.66/0.87  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.66/0.87  % SZS status Theorem for SET908+1
% 0.66/0.87  % SZS output start Proof for SET908+1
% 0.66/0.87  (
% 0.66/0.87  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.set_union2 (tptp.singleton A) B) tptp.empty_set)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_3 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_6 (forall ((B $$unsorted)) (not (tptp.in B tptp.empty_set))))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 tptp.empty_set))) (let ((_let_8 (forall ((A $$unsorted)) (= (forall ((B $$unsorted)) (not (tptp.in B A))) (= tptp.empty_set A))))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (_let_8))) (let ((_let_11 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_9 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_10))) _let_9 :args (_let_6 false _let_8)))) (let ((_let_12 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 _let_12))) (let ((_let_14 (or (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_13))) (let ((_let_15 (= _let_7 _let_14))) (let ((_let_16 (forall ((D $$unsorted)) (= (tptp.in D tptp.empty_set) (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in D (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_17 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_12))) (let ((_let_18 (= tptp.empty_set _let_17))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (_let_2))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (tptp.set_union2 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_23 (= _let_22 _let_17))) (let ((_let_24 (= tptp.empty_set _let_22))) (let ((_let_25 (_let_5))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (not (= tptp.empty_set (tptp.set_union2 (tptp.singleton A) B)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (or))) (let ((_let_30 (_let_24))) (let ((_let_31 (not _let_27))) (let ((_let_32 (and _let_24 _let_23))) (let ((_let_33 (ASSUME :args (_let_23)))) (let ((_let_34 (ASSUME :args _let_30))) (let ((_let_35 (_let_16))) (let ((_let_36 (forall ((B $$unsorted)) (not (tptp.in B (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_37 (= tptp.empty_set _let_12))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (not _let_36))) (let ((_let_40 (forall ((C $$unsorted)) (= (tptp.in C tptp.empty_set) (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_41 (= _let_37 _let_40))) (let ((_let_42 (not _let_37))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.empty_set))) (let ((_let_46 (_let_6))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (_let_40))) (let ((_let_49 (not _let_13))) (let ((_let_50 (_let_39))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in B tptp.empty_set) false))))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_15)) :args ((or _let_7 (not _let_14) (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_14 1)) :args ((or _let_49 _let_14))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50) (REWRITE :args ((=> _let_39 (not _let_49)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_36))) (REFL :args (_let_13)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_38)) :args ((or _let_37 _let_39 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_41)) :args ((or _let_40 _let_42 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C tptp.empty_set)))) :args _let_48))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_11 :args ((not _let_45) false _let_6)) :args ((not _let_40) true _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_43)))) _let_44 :args (_let_41 false _let_43)) :args (_let_42 true _let_40 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_12 QUANTIFIERS_INST_ENUM)) :args _let_10))) _let_9 :args (_let_38 false _let_8)) :args (_let_39 true _let_37 false _let_38)) :args (_let_13 true _let_36)) :args (_let_14 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D _let_12)))) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or _let_16 (not _let_18) (not _let_19)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_32)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_33 _let_34) (SCOPE (TRANS (SYMM (SYMM _let_34)) (SYMM (SYMM _let_33))) :args (_let_23 _let_24))) :args (_let_24 _let_23))) :args (true _let_32)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_28) :args (_let_31)) (REWRITE :args ((=> _let_31 (not (not _let_24))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args _let_30) :args _let_29)) _let_28 :args (_let_24 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_union2 A B)))) :args _let_25)) _let_26 :args (_let_23 false _let_5)) :args (_let_18 false _let_24 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_12 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_20)) _let_21 :args (_let_19 false _let_2)) :args (_let_16 false _let_18 false _let_19)) :args (_let_15 false _let_16)) :args (_let_7 false _let_14 false _let_15)) _let_11 :args (false false _let_7 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_5 _let_4 _let_3 _let_2 (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.66/0.88  )
% 0.66/0.88  % SZS output end Proof for SET908+1
% 0.66/0.88  % cvc5---1.0.5 exiting
% 0.66/0.88  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------