%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU212+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 16:30:03 EDT 2023

% Result   : Theorem 10.65s 10.86s
% Output   : Proof 10.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU212+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 23 18:06:58 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 10.65/10.86  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0e2wE5bFGx/cvc5---1.0.5_11393.p...
% 10.65/10.86  ------- get file name : TPTP file name is SEU212+1
% 10.65/10.86  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11393.smt2...
% 10.65/10.86  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.65/10.86  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.65/10.86  % SZS status Theorem for SEU212+1
% 10.65/10.86  % SZS output start Proof for SEU212+1
% 10.65/10.86  (
% 10.65/10.86  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (tptp.in (tptp.ordered_pair A B) C) (and (tptp.in A (tptp.relation_dom C)) (= B (tptp.apply C A))))))))) (let ((_let_2 (tptp.relation tptp.empty_set))) (let ((_let_3 (tptp.empty tptp.empty_set))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (= B (tptp.relation_dom A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (tptp.in (tptp.ordered_pair C D) A)))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (= C (tptp.apply A B)))) (let ((_let_2 (tptp.in B (tptp.relation_dom A)))) (and (=> _let_2 (= _let_1 (tptp.in (tptp.ordered_pair B C) A))) (=> (not _let_2) (= _let_1 (= C tptp.empty_set))))))))))) (let ((_let_6 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_8 (= _let_6 _let_7))) (let ((_let_9 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_9))) (let ((_let_11 (and _let_10 _let_7))) (let ((_let_12 (= _let_6 _let_11))) (let ((_let_13 (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= _let_10 _let_14))) (let ((_let_16 (not _let_10))) (let ((_let_17 (or _let_16 _let_8))) (let ((_let_18 (not _let_6))) (let ((_let_19 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_12))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (= (tptp.in (tptp.ordered_pair A B) C) (and (tptp.in A (tptp.relation_dom C)) (= B (tptp.apply C A)))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (not _let_24))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_27)) _let_26 :args (_let_25 true _let_24)))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 2)) _let_29 :args ((not _let_12) true _let_23)))) (let ((_let_31 (_let_12))) (let ((_let_32 (_let_13))) (let ((_let_33 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (tptp.in C (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))))) (let ((_let_34 (or _let_22 _let_33))) (let ((_let_35 (forall ((A $$unsorted) (BOUND_VARIABLE_909 $$unsorted)) (or (not (tptp.relation A)) (= (= (tptp.relation_dom A) BOUND_VARIABLE_909) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) A)))) (tptp.in C BOUND_VARIABLE_909)))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (REFL :args (_let_23)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_27)) :args ((or _let_21 _let_23))) _let_29 :args (_let_21 true _let_23)))) (let ((_let_39 (_let_33))) (let ((_let_40 (not _let_15))) (let ((_let_41 (and _let_17 (or (tptp.in tptp.empty_set _let_9) (= tptp.empty_set (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.empty_set)))))) (let ((_let_42 (or _let_22 _let_20 _let_41))) (let ((_let_43 (forall ((A $$unsorted) (BOUND_VARIABLE_884 $$unsorted) (BOUND_VARIABLE_882 $$unsorted) (BOUND_VARIABLE_872 $$unsorted) (BOUND_VARIABLE_870 $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (or (not (tptp.in BOUND_VARIABLE_870 _let_1)) (= (= BOUND_VARIABLE_872 (tptp.apply A BOUND_VARIABLE_870)) (tptp.in (tptp.ordered_pair BOUND_VARIABLE_870 BOUND_VARIABLE_872) A))) (or (tptp.in BOUND_VARIABLE_882 _let_1) (= (= BOUND_VARIABLE_884 (tptp.apply A BOUND_VARIABLE_882)) (= tptp.empty_set BOUND_VARIABLE_884))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 0)) :args ((or _let_17 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_22 _let_20 _let_41 (not _let_42)))) _let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_27)) :args ((or _let_19 _let_23))) _let_29 :args (_let_19 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.empty_set tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_43)))) _let_44 :args (_let_42 false _let_43)) :args (_let_41 false _let_21 false _let_19 false _let_42)) :args (_let_17 false _let_41)))) (let ((_let_46 (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_8 (not _let_17)))))) (let ((_let_47 (not _let_8))) (let ((_let_48 (_let_8))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_48) :args ((or _let_7 _let_18 _let_47))) _let_46 _let_45 (CNF_AND_NEG :args (_let_11)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_15)) (CONG (REFL :args (_let_40)) (REFL :args (_let_10)) (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_27)) :args ((or _let_10 _let_13 _let_40))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_22 _let_33 (not _let_34)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_9 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_35)))) _let_36 :args (_let_34 false _let_35)) :args (_let_33 false _let_21 false _let_34)) :args (_let_15 false _let_33)) (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) :args ((or _let_18 _let_14))) (CNF_EQUIV_NEG2 :args _let_31) _let_30 :args (_let_18 false _let_8 false _let_17 true _let_7 false _let_10 false _let_15 true _let_13 true _let_11 true _let_12)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_31) :args ((or _let_6 _let_11 _let_12))) _let_49 _let_30 :args (_let_11 true _let_6 true _let_12)))) (let ((_let_51 (not _let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_48) :args ((or _let_6 (not _let_7) _let_47))) (MACRO_RESOLUTION_TRUST _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_10 _let_51))) _let_50 :args (_let_10 false _let_11)) _let_45 :args (_let_8 false _let_10 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_7 _let_51))) _let_50 :args (_let_7 false _let_11)) _let_49 :args (false false _let_8 false _let_7 true _let_6)) :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 $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) true true true true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_3 _let_2 (tptp.relation_empty_yielding tptp.empty_set)) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.unordered_pair A B)))) (and _let_3 _let_2) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding 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 $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$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)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.65/10.86  )
% 10.65/10.86  % SZS output end Proof for SEU212+1
% 10.65/10.86  % cvc5---1.0.5 exiting
% 10.65/10.87  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------