%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU243+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 16:30:21 EDT 2023

% Result   : Theorem 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU243+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n010.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 18:17:21 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.XTWNbXbH9i/cvc5---1.0.5_24619.p...
% 0.21/0.55  ------- get file name : TPTP file name is SEU243+1
% 0.21/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24619.smt2...
% 0.21/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Theorem for SEU243+1
% 0.21/0.55  % SZS output start Proof for SEU243+1
% 0.21/0.55  (
% 0.21/0.55  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.well_founded_relation A) (tptp.is_well_founded_in A (tptp.relation_field A)))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (tptp.is_well_founded_in A B) (forall ((C $$unsorted)) (not (and (tptp.subset C B) (not (= C tptp.empty_set)) (forall ((D $$unsorted)) (not (and (tptp.in D C) (tptp.disjoint (tptp.fiber A D) C))))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.well_founded_relation A) (forall ((B $$unsorted)) (not (and (tptp.subset B (tptp.relation_field A)) (not (= B tptp.empty_set)) (forall ((C $$unsorted)) (not (and (tptp.in C B) (tptp.disjoint (tptp.fiber A C) B)))))))))))) (let ((_let_4 (forall ((B $$unsorted)) (or (not (tptp.subset B (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (= tptp.empty_set B) (not (forall ((C $$unsorted)) (or (not (tptp.in C B)) (not (tptp.disjoint (tptp.fiber SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 C) B))))))))) (let ((_let_5 (forall ((C $$unsorted)) (or (not (tptp.subset C (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (= tptp.empty_set C) (not (forall ((D $$unsorted)) (or (not (tptp.in D C)) (not (tptp.disjoint (tptp.fiber SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 D) C))))))))) (let ((_let_6 (tptp.well_founded_relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_7 (= _let_6 _let_4))) (let ((_let_8 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.well_founded_relation A) (forall ((B $$unsorted)) (or (not (tptp.subset B (tptp.relation_field A))) (= tptp.empty_set B) (not (forall ((C $$unsorted)) (or (not (tptp.in C B)) (not (tptp.disjoint (tptp.fiber A C) B)))))))))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_14 (tptp.is_well_founded_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_13))) (let ((_let_15 (= _let_6 _let_14))) (let ((_let_16 (or _let_9 _let_15))) (let ((_let_17 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.well_founded_relation A) (tptp.is_well_founded_in A (tptp.relation_field A))))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_21))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_20)) :args ((or _let_8 _let_16))) _let_22 :args (_let_8 true _let_16)))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_7 (not _let_10)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_11))) _let_12 :args (_let_10 false _let_11)) :args (_let_7 false _let_8 false _let_10)))) (let ((_let_25 (= _let_14 _let_5))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 1)) _let_22 :args ((not _let_15) true _let_16)))) (let ((_let_27 (_let_15))) (let ((_let_28 (not _let_7))) (let ((_let_29 (not _let_4))) (let ((_let_30 (_let_7))) (let ((_let_31 (or _let_9 _let_25))) (let ((_let_32 (forall ((A $$unsorted) (BOUND_VARIABLE_901 $$unsorted)) (or (not (tptp.relation A)) (= (tptp.is_well_founded_in A BOUND_VARIABLE_901) (forall ((C $$unsorted)) (or (not (tptp.subset C BOUND_VARIABLE_901)) (= tptp.empty_set C) (not (forall ((D $$unsorted)) (or (not (tptp.in D C)) (not (tptp.disjoint (tptp.fiber A D) C)))))))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_9 _let_25 (not _let_31)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.is_well_founded_in A BOUND_VARIABLE_901)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_25 false _let_8 false _let_31)))) (let ((_let_35 (not _let_25))) (let ((_let_36 (not _let_14))) (let ((_let_37 (_let_25))) (let ((_let_38 (ALPHA_EQUIV :args (_let_4 (= C D) (= B C))))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_38) (REORDERING (CNF_EQUIV_POS1 :args _let_37) :args ((or _let_36 _let_5 _let_35))) _let_34 (REORDERING (CNF_EQUIV_POS2 :args _let_30) :args ((or _let_6 _let_29 _let_28))) _let_24 (REORDERING (CNF_EQUIV_NEG1 :args _let_27) :args ((or _let_6 _let_14 _let_15))) _let_26 :args (_let_6 false _let_5 false _let_25 true _let_4 false _let_7 false _let_14 true _let_15)))) (let ((_let_40 (not _let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 _let_38) :args ((or _let_5 _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_37) :args ((or _let_14 _let_40 _let_35))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_27) _let_26 _let_39 :args (_let_36 true _let_15 false _let_6)) _let_34 :args (_let_40 true _let_14 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_30) :args ((or (not _let_6) _let_4 _let_28))) _let_39 _let_24 :args (_let_4 false _let_6 false _let_7)) :args (false true _let_5 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$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)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) _let_3 _let_2 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_field A) (tptp.set_union2 (tptp.relation_dom A) (tptp.relation_rng A))))) true true true true true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (tptp.empty tptp.empty_set) (forall ((A $$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)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))) (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) _let_1 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true)))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55  )
% 0.21/0.55  % SZS output end Proof for SEU243+1
% 0.21/0.56  % cvc5---1.0.5 exiting
% 0.21/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------