%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 16:29:20 EDT 2023

% Result   : Theorem 0.20s 0.57s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Wed Aug 23 19:32:27 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.57  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oZJfqwisFn/cvc5---1.0.5_3982.p...
% 0.20/0.57  ------- get file name : TPTP file name is SEU120+1
% 0.20/0.57  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3982.smt2...
% 0.20/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57  % SZS status Theorem for SEU120+1
% 0.20/0.57  % SZS output start Proof for SEU120+1
% 0.20/0.57  (
% 0.20/0.57  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.disjoint A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 A B)))))) (not (and (exists ((C $$unsorted)) (tptp.in C (tptp.set_intersection2 A B))) _let_1)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_intersection2 A B) tptp.empty_set))))) (let ((_let_3 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))))) (let ((_let_4 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_4))) (let ((_let_6 (= tptp.empty_set _let_4))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set))) (let ((_let_8 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (not _let_8))) (let ((_let_10 (not _let_5))) (let ((_let_11 (or _let_10 _let_9))) (let ((_let_12 (forall ((BOUND_VARIABLE_713 $$unsorted) (BOUND_VARIABLE_715 $$unsorted) (BOUND_VARIABLE_727 $$unsorted)) (or (not (tptp.in BOUND_VARIABLE_727 (tptp.set_intersection2 BOUND_VARIABLE_713 BOUND_VARIABLE_715))) (not (tptp.disjoint BOUND_VARIABLE_713 BOUND_VARIABLE_715)))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (forall ((BOUND_VARIABLE_700 $$unsorted) (BOUND_VARIABLE_702 $$unsorted)) (or (tptp.disjoint BOUND_VARIABLE_700 BOUND_VARIABLE_702) (not (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 BOUND_VARIABLE_700 BOUND_VARIABLE_702))))))))) (let ((_let_15 (not _let_12))) (let ((_let_16 (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (or _let_18 _let_17))) (let ((_let_20 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (= tptp.empty_set _let_20))) (let ((_let_22 (= _let_18 _let_21))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_20))) (let ((_let_24 (= _let_20 gt_11))) (let ((_let_25 (= tptp.empty_set gt_11))) (let ((_let_26 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 gt_11))) (let ((_let_27 (forall ((B $$unsorted)) (not (tptp.in B gt_11))))) (let ((_let_28 (= _let_27 _let_25))) (let ((_let_29 (or))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= tptp.empty_set (tptp.set_intersection2 A B)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 ((tptp.disjoint A B)))) (let ((_let_34 (not _let_21))) (let ((_let_35 (_let_16))) (let ((_let_36 (THEORY_LEMMA :args ((= gt_11 _let_20) THEORY_QUANTIFIERS)))) (let ((_let_37 (SYMM _let_36))) (let ((_let_38 (not _let_25))) (let ((_let_39 (not _let_24))) (let ((_let_40 (REFL :args (_let_39)))) (let ((_let_41 (and _let_24 _let_34))) (let ((_let_42 (ASSUME :args (_let_34)))) (let ((_let_43 (not _let_26))) (let ((_let_44 (not _let_23))) (let ((_let_45 (and _let_24 _let_44))) (let ((_let_46 (ASSUME :args (_let_44)))) (let ((_let_47 (APPLY_UF tptp.in))) (let ((_let_48 (forall ((A $$unsorted)) (= (forall ((B $$unsorted)) (not (tptp.in B A))) (= tptp.empty_set A))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 (not _let_27))) (let ((_let_52 (_let_51))) (let ((_let_53 (not _let_14))) (let ((_let_54 (_let_53))) (let ((_let_55 (_let_15))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_12))) (REFL :args (_let_13)) :args _let_29)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_14))) (REFL :args ((not _let_19))) :args _let_29)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52) (REWRITE :args ((=> _let_51 (not _let_43)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_27))) (REFL :args (_let_26)) :args _let_29)) (REORDERING (CNF_EQUIV_POS1 :args (_let_28)) :args ((or _let_25 _let_51 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (gt_11 QUANTIFIERS_INST_ENUM)) :args _let_50)) _let_49 :args (_let_28 false _let_48)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_45)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_46 _let_37) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)) _let_36 :args _let_47) (FALSE_INTRO _let_46))) :args (_let_44 _let_24))) :args (_let_24 _let_44))) :args (true _let_45)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_23))) (REFL :args (_let_43)) :args _let_29)) :args ((or _let_39 _let_43 _let_23))) _let_37 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_37) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.empty_set)) _let_36 :args (=)) (FALSE_INTRO _let_42))) :args (_let_34 _let_24))) :args (_let_24 _let_34))) :args (true _let_41)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_21))) (REFL :args (_let_38)) :args _let_29)) :args ((or _let_21 _let_39 _let_38))) _let_37 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C _let_20) false))))) :args _let_35)) (REORDERING (CNF_EQUIV_POS2 :args (_let_22)) :args ((or _let_18 _let_34 (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_22 false _let_30)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_29)) :args ((or _let_16 _let_19))) (CNF_OR_NEG :args (_let_19 0)) :args (_let_19 true _let_27 false _let_28 true _let_26 false _let_24 true _let_25 false _let_24 true _let_23 true _let_21 false _let_22 false _let_16 true _let_18)) :args (_let_14 false _let_19)) :args (_let_15 false _let_14)) :args (_let_13 true _let_12)))) (let ((_let_57 (REFL :args (_let_11)))) (let ((_let_58 (= _let_8 _let_6))) (let ((_let_59 (forall ((B $$unsorted)) (not (tptp.in B tptp.empty_set))))) (let ((_let_60 (not _let_7))) (let ((_let_61 (_let_59))) (let ((_let_62 (ASSUME :args (_let_60)))) (let ((_let_63 (ASSUME :args (_let_6)))) (let ((_let_64 (ASSUME :args (_let_5)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_63 _let_64) :args (_let_5 _let_6 _let_60)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_64)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (SYMM _let_63) :args _let_47) (FALSE_INTRO _let_62))) :args (_let_60 _let_6 _let_5)) :args ((not (and _let_5 _let_6 _let_60)) SB_LITERAL))) (CONG (REFL :args (_let_10)) (REFL :args ((not _let_6))) (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_7))) :args _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in B tptp.empty_set) false))))) :args _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_50))) _let_49 :args (_let_59 false _let_48)) :args (_let_60 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_9 _let_6 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_29)) :args ((or _let_8 _let_11))) _let_56 :args (_let_8 true _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_58 false _let_30)) :args (_let_6 false _let_8 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_5))) :args _let_29)) :args ((or _let_5 _let_11))) _let_56 :args (_let_5 true _let_11)) :args (false true _let_7 false _let_6 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_3 _let_2 true true (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.57  )
% 0.20/0.57  % SZS output end Proof for SEU120+1
% 0.20/0.57  % cvc5---1.0.5 exiting
% 0.20/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------