%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU245+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 16:30:22 EDT 2023

% Result   : Theorem 10.29s 10.59s
% Output   : Proof 10.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU245+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n028.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   : Thu Aug 24 01:32:19 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 10.29/10.59  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rKInBud9zw/cvc5---1.0.5_17343.p...
% 10.29/10.59  ------- get file name : TPTP file name is SEU245+1
% 10.29/10.59  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17343.smt2...
% 10.29/10.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.29/10.59  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.29/10.59  % SZS status Theorem for SEU245+1
% 10.29/10.59  % SZS output start Proof for SEU245+1
% 10.29/10.59  (
% 10.29/10.59  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (= (tptp.in A (tptp.relation_restriction C B)) (and (tptp.in A C) (tptp.in A (tptp.cartesian_product2 B B))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (tptp.relation_restriction A B) (tptp.set_intersection2 A (tptp.cartesian_product2 B B)))))))) (let ((_let_4 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_5 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_4))) (let ((_let_6 (tptp.relation_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_6))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_5))) (let ((_let_10 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_7))) (let ((_let_13 (forall ((A $$unsorted) (BOUND_VARIABLE_853 $$unsorted)) (or (not (tptp.relation A)) (= (tptp.relation_restriction A BOUND_VARIABLE_853) (tptp.set_intersection2 A (tptp.cartesian_product2 BOUND_VARIABLE_853 BOUND_VARIABLE_853))))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (and (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_4)))) (let ((_let_16 (= _let_8 _let_15))) (let ((_let_17 (or _let_11 _let_16))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (= (tptp.in A (tptp.relation_restriction C B)) (and (tptp.in A C) (tptp.in A (tptp.cartesian_product2 B B)))))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 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 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_7 (not _let_12)))) (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_11) _let_10))) :args _let_21)) :args ((or _let_10 _let_17))) _let_23 :args (_let_10 true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_ENUM)) :args (_let_13))) _let_14 :args (_let_12 false _let_13)) :args (_let_7 false _let_10 false _let_12)))) (let ((_let_25 (= _let_15 _let_9))) (let ((_let_26 (not _let_8))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 1)) _let_23 :args ((not _let_16) true _let_17)))) (let ((_let_28 (_let_16))) (let ((_let_29 (forall ((D $$unsorted)) (let ((_let_1 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_1)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (tptp.in D _let_1))))))) (let ((_let_30 (_let_1))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (_let_29))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_4 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30))) _let_31 :args (_let_29 false _let_1)) :args (_let_25 false _let_29)))) (let ((_let_34 (not _let_25))) (let ((_let_35 (not _let_9))) (let ((_let_36 (_let_25))) (let ((_let_37 (and _let_8 _let_7))) (let ((_let_38 (_let_8 _let_7))) (let ((_let_39 (ASSUME :args (_let_8)))) (let ((_let_40 (ASSUME :args (_let_7)))) (let ((_let_41 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (SYMM _let_40) :args (APPLY_UF tptp.in)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_37)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_40) (SCOPE (TRUE_ELIM (TRANS _let_41 (TRUE_INTRO _let_39))) :args _let_38)) :args _let_38)) :args (true _let_37)) _let_24 (REORDERING (CNF_EQUIV_POS2 :args _let_36) :args ((or _let_15 _let_35 _let_34))) _let_33 (CNF_EQUIV_NEG2 :args _let_28) _let_27 :args (_let_26 false _let_7 true _let_9 false _let_25 true _let_15 true _let_16)))) (let ((_let_43 (and _let_26 _let_7))) (let ((_let_44 (_let_26 _let_7))) (let ((_let_45 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_40) (SCOPE (FALSE_ELIM (TRANS _let_41 (FALSE_INTRO _let_45))) :args _let_44)) :args _let_44)) :args (true _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_8))) (REFL :args ((not _let_7))) (REFL :args (_let_35)) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_36) :args ((or (not _let_15) _let_9 _let_34))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_28) :args ((or _let_8 _let_15 _let_16))) _let_42 _let_27 :args (_let_15 true _let_8 true _let_16)) _let_33 :args (_let_9 false _let_15 false _let_25)) _let_42 _let_24 :args (false false _let_9 true _let_8 false _let_7)) :args ((exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) true (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) (tptp.empty tptp.empty_set) (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) true (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_restriction A B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))
% 10.29/10.59  )
% 10.29/10.59  % SZS output end Proof for SEU245+1
% 10.29/10.59  % cvc5---1.0.5 exiting
% 10.29/10.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------