TSTP Solution File: SEU025+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU025+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 16:29:04 EDT 2023
% Result : Theorem 0.21s 0.60s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SEU025+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n003.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 17:27:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.60 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fX90SocLS1/cvc5---1.0.5_17943.p...
% 0.21/0.60 ------- get file name : TPTP file name is SEU025+1
% 0.21/0.60 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17943.smt2...
% 0.21/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.60 % SZS status Theorem for SEU025+1
% 0.21/0.60 % SZS output start Proof for SEU025+1
% 0.21/0.60 (
% 0.21/0.60 (let ((_let_1 (not (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (let ((_let_2 (tptp.relation_composition A (tptp.function_inverse A)))) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (and (= (tptp.relation_dom _let_2) _let_1) (= (tptp.relation_rng _let_2) _let_1)))))))))) (let ((_let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (and (= (tptp.relation_rng A) (tptp.relation_dom _let_1)) (= (tptp.relation_dom A) (tptp.relation_rng _let_1))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (=> (tptp.relation B) (=> (tptp.subset (tptp.relation_dom A) (tptp.relation_rng B)) (= (tptp.relation_rng (tptp.relation_composition B A)) (tptp.relation_rng A))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (=> (tptp.relation B) (=> (tptp.subset (tptp.relation_rng A) (tptp.relation_dom B)) (= (tptp.relation_dom (tptp.relation_composition A B)) (tptp.relation_dom A))))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)))) (let ((_let_6 (tptp.relation tptp.empty_set))) (let ((_let_7 (tptp.empty tptp.empty_set))) (let ((_let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_9 (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (tptp.relation_rng _let_9))) (let ((_let_11 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_9))) (let ((_let_14 (tptp.relation_rng _let_13))) (let ((_let_15 (= _let_14 _let_10))) (let ((_let_16 (= _let_11 _let_14))) (let ((_let_17 (tptp.relation_dom _let_9))) (let ((_let_18 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (and _let_19 _let_12))) (let ((_let_21 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22 _let_20))) (let ((_let_28 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (and (= (tptp.relation_rng A) (tptp.relation_dom _let_1)) (= (tptp.relation_dom A) (tptp.relation_rng _let_1)))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (= _let_11 (tptp.relation_dom _let_13)))) (let ((_let_31 (and _let_30 _let_16))) (let ((_let_32 (or _let_26 _let_24 _let_22 _let_31))) (let ((_let_33 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_composition A (tptp.function_inverse A)))) (let ((_let_2 (tptp.relation_dom A))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (and (= _let_2 (tptp.relation_dom _let_1)) (= _let_2 (tptp.relation_rng _let_1))))))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (or))) (let ((_let_37 (not _let_33))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_35) :args (_let_37))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_33))) (REFL :args (_let_34)) :args _let_36)) _let_35 :args (_let_34 true _let_33)))) (let ((_let_39 (REFL :args (_let_32)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_36)) :args ((or _let_23 _let_32))) _let_38 :args (_let_23 true _let_32)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_36)) :args ((or _let_25 _let_32))) _let_38 :args (_let_25 true _let_32)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_24 _let_22 _let_20 (not _let_27)))) _let_41 _let_40 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 2)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_36)) :args ((or _let_21 _let_32))) _let_38 :args (_let_21 true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_20 false _let_25 false _let_23 false _let_21 false _let_27)))) (let ((_let_43 (not _let_20))) (let ((_let_44 (tptp.subset _let_17 _let_18))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.relation _let_9))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_26 _let_45 _let_15))) (let ((_let_49 (forall ((A $$unsorted) (BOUND_VARIABLE_1172 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation BOUND_VARIABLE_1172)) (not (tptp.subset (tptp.relation_dom A) (tptp.relation_rng BOUND_VARIABLE_1172))) (= (tptp.relation_rng A) (tptp.relation_rng (tptp.relation_composition BOUND_VARIABLE_1172 A))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (tptp.subset _let_18 _let_18))) (let ((_let_52 (forall ((A $$unsorted)) (tptp.subset A A)))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset A A) true))))) :args (_let_52))) _let_53 :args (_let_51 false _let_52)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_19 _let_43))) _let_42 :args (_let_19 false _let_20)))) (let ((_let_56 (not _let_51))) (let ((_let_57 (not _let_19))) (let ((_let_58 (and _let_19 _let_51))) (let ((_let_59 (true _let_58))) (let ((_let_60 (_let_19 _let_51))) (let ((_let_61 (_let_51 _let_19))) (let ((_let_62 (ASSUME :args (_let_51)))) (let ((_let_63 (TRUE_INTRO _let_62))) (let ((_let_64 (APPLY_UF tptp.subset))) (let ((_let_65 (ASSUME :args (_let_19)))) (let ((_let_66 (SYMM _let_65))) (let ((_let_67 (CONG _let_66 (REFL :args (_let_18)) :args _let_64))) (let ((_let_68 (AND_INTRO _let_62 _let_65))) (let ((_let_69 (CNF_AND_NEG :args (_let_58)))) (let ((_let_70 (and _let_46 (tptp.function _let_9)))) (let ((_let_71 (or _let_26 _let_24 _let_70))) (let ((_let_72 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_70 0)) :args ((or _let_46 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_26 _let_24 _let_70 (not _let_71)))) _let_41 _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.function_inverse A)))) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_70 false _let_25 false _let_23 false _let_71)) :args (_let_46 false _let_70)))) (let ((_let_75 (tptp.subset _let_18 _let_17))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_26 _let_47 _let_76 _let_30))) (let ((_let_78 (forall ((A $$unsorted) (BOUND_VARIABLE_1143 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation BOUND_VARIABLE_1143)) (not (tptp.subset (tptp.relation_rng A) (tptp.relation_dom BOUND_VARIABLE_1143))) (= (tptp.relation_dom A) (tptp.relation_dom (tptp.relation_composition A BOUND_VARIABLE_1143))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (and _let_15 _let_12))) (let ((_let_81 (_let_15 _let_12))) (let ((_let_82 (ASSUME :args (_let_15)))) (let ((_let_83 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_80)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_83) (SCOPE (TRANS (SYMM (SYMM _let_83)) (SYMM _let_82)) :args _let_81)) :args _let_81)) :args (true _let_80)) :args ((or _let_16 (not _let_15) (not _let_12)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_31)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 3)) _let_38 :args ((not _let_31) true _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_26 _let_30 _let_47 _let_76 (not _let_77)))) _let_41 _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_69 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_68 (SCOPE (TRUE_ELIM (TRANS (CONG _let_65 _let_66 :args _let_64) _let_67 _let_63)) :args _let_61)) :args _let_60)) :args _let_59) :args ((or _let_75 _let_57 _let_56))) _let_55 _let_54 :args (_let_75 false _let_19 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_composition A BOUND_VARIABLE_1143)))) :args (_let_78))) _let_79 :args (_let_77 false _let_78)) :args (_let_30 false _let_25 false _let_46 false _let_75 false _let_77)) :args ((not _let_16) true _let_31 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_26 _let_47 _let_45 _let_15 (not _let_48)))) _let_41 _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_69 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_68 (SCOPE (TRUE_ELIM (TRANS _let_67 _let_63)) :args _let_61)) :args _let_60)) :args _let_59) :args ((or _let_44 _let_57 _let_56))) _let_55 _let_54 :args (_let_44 false _let_19 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_composition BOUND_VARIABLE_1172 A)))) :args (_let_49)))) _let_50 :args (_let_48 false _let_49)) :args (_let_15 false _let_25 false _let_46 false _let_44 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_12 _let_43))) _let_42 :args (_let_12 false _let_20)) :args (false true _let_16 false _let_15 false _let_12)) :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)) (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)))))) _let_8 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition B A))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (and _let_7 _let_6 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.relation A) (tptp.function A) (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_7 (and _let_7 _let_6) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) _let_5 (forall ((A $$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 $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.60 )
% 0.21/0.60 % SZS output end Proof for SEU025+1
% 0.21/0.60 % cvc5---1.0.5 exiting
% 0.21/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------