%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET909+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 0.80s 1.01s
% Output   : Proof 0.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SET909+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11  % Command    : do_cvc5 %s %d
% 0.12/0.32  % Computer : n001.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sat Aug 26 13:38:00 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.16/0.43  %----Proving TF0_NAR, FOF, or CNF
% 0.80/1.01  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CGDhYq3an0/cvc5---1.0.5_30914.p...
% 0.80/1.01  ------- get file name : TPTP file name is SET909+1
% 0.80/1.01  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30914.smt2...
% 0.80/1.01  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.80/1.01  % SZS status Theorem for SET909+1
% 0.80/1.01  % SZS output start Proof for SET909+1
% 0.80/1.01  (
% 0.80/1.01  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= (tptp.set_union2 (tptp.unordered_pair A B) C) tptp.empty_set)))))) (let ((_let_2 (forall ((A $$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) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= D A) (= D B)))))))) (let ((_let_4 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.empty_set))) (let ((_let_7 (forall ((D $$unsorted)) (= (tptp.in D tptp.empty_set) (or (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_8 (forall ((B $$unsorted)) (not (tptp.in B tptp.empty_set))))) (let ((_let_9 (forall ((A $$unsorted)) (= (forall ((B $$unsorted)) (not (tptp.in B A))) (= tptp.empty_set A))))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (_let_9))) (let ((_let_12 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_10 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_11))) _let_10 :args (_let_8 false _let_9)))) (let ((_let_13 (_let_8))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_16 (= tptp.empty_set _let_15))) (let ((_let_17 (= _let_16 _let_7))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= A D) (= B D)))))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (forall ((B $$unsorted)) (not (tptp.in B (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_21 (= _let_20 _let_16))) (let ((_let_22 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_15))) (let ((_let_23 (or (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_22))) (let ((_let_24 (not _let_22))) (let ((_let_25 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 tptp.empty_set))) (let ((_let_26 (= _let_25 _let_23))) (let ((_let_27 (not _let_23))) (let ((_let_28 (forall ((D $$unsorted)) (= (tptp.in D tptp.empty_set) (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.in D (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_29 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_15))) (let ((_let_30 (= tptp.empty_set _let_29))) (let ((_let_31 (= _let_30 _let_28))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.set_union2 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_35 (= _let_34 _let_29))) (let ((_let_36 (= tptp.empty_set _let_34))) (let ((_let_37 (_let_5))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= tptp.empty_set (tptp.set_union2 (tptp.unordered_pair A B) C)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (_let_36))) (let ((_let_43 (not _let_39))) (let ((_let_44 (and _let_36 _let_35))) (let ((_let_45 (ASSUME :args (_let_35)))) (let ((_let_46 (ASSUME :args _let_42))) (let ((_let_47 (_let_28))) (let ((_let_48 (not _let_20))) (let ((_let_49 (_let_48))) (let ((_let_50 (_let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D tptp.empty_set)))) :args _let_50))) :args ((or _let_6 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_17)) :args ((or (not _let_16) _let_7 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or _let_16 _let_48 (not _let_21)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49) (REWRITE :args ((=> _let_48 (not _let_24)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_20))) (REFL :args (_let_22)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_23 1)) :args ((or _let_24 _let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_26)) :args ((or _let_25 _let_27 (not _let_26)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in B tptp.empty_set) false))))) :args _let_13)) _let_12 :args ((not _let_25) false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D _let_15)))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or _let_28 (not _let_30) (not _let_31)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_44)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_46) (SCOPE (TRANS (SYMM (SYMM _let_46)) (SYMM (SYMM _let_45))) :args (_let_35 _let_36))) :args (_let_36 _let_35))) :args (true _let_44)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_40) :args (_let_43)) (REWRITE :args ((=> _let_43 (not (not _let_36))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args _let_42) :args _let_41)) _let_40 :args (_let_36 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_union2 A B)))) :args _let_37)) _let_38 :args (_let_35 false _let_5)) :args (_let_30 false _let_36 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_15 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_33 :args (_let_31 false _let_2)) :args (_let_28 false _let_30 false _let_31)) :args (_let_26 false _let_28)) :args (_let_27 true _let_25 false _let_26)) :args (_let_24 true _let_23)) :args (_let_20 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (_let_15 QUANTIFIERS_INST_ENUM)) :args _let_11)) _let_10 :args (_let_21 false _let_9)) :args (_let_16 false _let_20 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_18)))) _let_19 :args (_let_17 false _let_18)) :args (_let_7 false _let_16 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_12 :args ((not _let_6) false _let_8)) :args (false false _let_7 true _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair 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)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.80/1.02  )
% 0.80/1.02  % SZS output end Proof for SET909+1
% 0.80/1.02  % cvc5---1.0.5 exiting
% 0.80/1.02  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------