TSTP Solution File: SEU186+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 16:29:52 EDT 2023
% Result : Theorem 0.21s 0.65s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 17:32:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.65 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oYWayAzkWD/cvc5---1.0.5_27613.p...
% 0.21/0.65 ------- get file name : TPTP file name is SEU186+1
% 0.21/0.65 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27613.smt2...
% 0.21/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.65 % SZS status Theorem for SEU186+1
% 0.21/0.65 % SZS output start Proof for SEU186+1
% 0.21/0.65 (
% 0.21/0.65 (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (tptp.relation A) (=> (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.in (tptp.ordered_pair B C) A))) (= A tptp.empty_set))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.relation A) (forall ((B $$unsorted)) (not (and (tptp.in B A) (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.ordered_pair C D))))))))))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 _let_8))) (let ((_let_10 (tptp.in _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_7))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element A B)) (tptp.empty B) (tptp.in A B))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (forall ((B $$unsorted)) (not (tptp.element B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_18 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (not (tptp.element B A))))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM))) (let ((_let_22 (or))) (let ((_let_23 (_let_19))) (let ((_let_24 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_25 (not _let_11))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (forall ((A $$unsorted)) (or (not (tptp.empty A)) (= tptp.empty_set A))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.in (tptp.ordered_pair B C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_24))) (let ((_let_34 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (not (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.in (tptp.ordered_pair B C) A)))) (= tptp.empty_set A))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (not _let_34))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args (_let_37))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_34))) (REFL :args (_let_35)) :args _let_22)) _let_36 :args (_let_35 true _let_34)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_11 _let_13 _let_7 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_24 _let_25 (not _let_26)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 2)) _let_38 :args ((not _let_24) true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args _let_21) :args (_let_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_25 true _let_24 false _let_26)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_23)) :args _let_23) (REWRITE :args ((=> _let_19 (not _let_13)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_17))) (REFL :args (_let_12)) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args _let_21) :args (_let_18))) _let_20 :args (_let_19 false _let_18)) :args (_let_12 true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element A B) false))))) :args (_let_15))) _let_16 :args (_let_14 false _let_15)) :args (_let_7 true _let_11 false _let_12 false _let_14)))) (let ((_let_40 (forall ((C $$unsorted) (D $$unsorted)) (not (= (tptp.ordered_pair C D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (not _let_7))) (let ((_let_43 (or _let_42 _let_41))) (let ((_let_44 (forall ((B $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.ordered_pair C D))))))))) (let ((_let_45 (= _let_31 _let_44))) (let ((_let_46 (forall ((A $$unsorted)) (= (tptp.relation A) (forall ((B $$unsorted)) (or (not (tptp.in B A)) (not (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.ordered_pair C D))))))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (REFL :args (_let_33)))) (let ((_let_49 (_let_44))) (let ((_let_50 (_let_9))) (let ((_let_51 (_let_41))) (let ((_let_52 (not _let_10))) (let ((_let_53 (_let_29))) (let ((_let_54 (ASSUME :args (_let_52)))) (let ((_let_55 (ASSUME :args _let_50))) (let ((_let_56 (ASSUME :args (_let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_54 _let_55 _let_56) :args (_let_7 _let_9 _let_52)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_56)) (CONG (SYMM (SYMM _let_55)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args (APPLY_UF tptp.in)) (FALSE_INTRO _let_54))) :args (_let_52 _let_9 _let_7)) :args ((not (and _let_7 _let_9 _let_52)) SB_LITERAL))) (CONG (REFL :args (_let_42)) (REFL :args ((not _let_9))) (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_10))) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_53) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair B C)))) :args _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_22)) :args ((or _let_29 _let_33))) _let_38 :args (_let_29 true _let_33)) :args (_let_52 false _let_29)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51) (REWRITE :args ((=> _let_41 (not (not (= _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) (REFL :args _let_50) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_41 (not _let_43)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) false))))) :args _let_49))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or _let_32 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_22)) :args ((or _let_31 _let_33))) _let_38 :args (_let_31 true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation A)))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_44 false _let_31 false _let_45)) :args (_let_43 false _let_44)) :args (_let_41 false _let_7 false _let_43)) :args (_let_9 true _let_40)) _let_39 :args (false true _let_10 false _let_9 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) true true true true true _let_5 _let_4 (forall ((A $$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_4 (tptp.relation tptp.empty_set)) (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))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_3 _let_2 _let_1 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.65 )
% 0.21/0.65 % SZS output end Proof for SEU186+1
% 0.21/0.65 % cvc5---1.0.5 exiting
% 0.21/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------