TSTP Solution File: SEU171+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU171+1 : TPTP v8.1.2. Released v3.3.0.
% 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 16:29:47 EDT 2023
% Result : Theorem 10.80s 11.10s
% Output : Proof 10.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SEU171+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15 % 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
% 0.15/0.37 % DateTime : Wed Aug 23 23:13:22 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 10.80/11.10 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eU2aRbK5Ud/cvc5---1.0.5_14496.p...
% 10.80/11.10 ------- get file name : TPTP file name is SEU171+1
% 10.80/11.10 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14496.smt2...
% 10.80/11.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.80/11.10 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.80/11.10 % SZS status Theorem for SEU171+1
% 10.80/11.10 % SZS output start Proof for SEU171+1
% 10.80/11.10 (
% 10.80/11.10 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (not (= A tptp.empty_set)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (forall ((C $$unsorted)) (=> (tptp.element C A) (=> (not (tptp.in C B)) (tptp.in C (tptp.subset_complement A B)))))))))))) (let ((_let_3 (tptp.empty tptp.empty_set))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (= (tptp.subset_complement A B) (tptp.set_difference A B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_difference A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (not (tptp.in D B))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.element B A))) (let ((_let_2 (tptp.empty A))) (and (=> (not _let_2) (= _let_1 (tptp.in B A))) (=> _let_2 (= _let_1 (tptp.empty B))))))))) (let ((_let_7 (tptp.subset_complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7))) (let ((_let_9 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (= _let_7 _let_9))) (let ((_let_11 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_9))) (let ((_let_12 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (or _let_17 _let_16 _let_14 _let_12 _let_8))) (let ((_let_19 (not _let_8))) (let ((_let_20 (forall ((A $$unsorted) (BOUND_VARIABLE_873 $$unsorted) (BOUND_VARIABLE_871 $$unsorted)) (or (= tptp.empty_set A) (not (tptp.element BOUND_VARIABLE_871 (tptp.powerset A))) (not (tptp.element BOUND_VARIABLE_873 A)) (tptp.in BOUND_VARIABLE_873 BOUND_VARIABLE_871) (tptp.in BOUND_VARIABLE_873 (tptp.subset_complement A BOUND_VARIABLE_871)))))) (let ((_let_21 (not _let_18))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (or _let_16 _let_10))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element B (tptp.powerset A))) (= (tptp.subset_complement A B) (tptp.set_difference A B)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (REFL :args (_let_18)))) (let ((_let_30 (not _let_12))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (and _let_31 _let_30))) (let ((_let_33 (= _let_11 _let_32))) (let ((_let_34 (forall ((D $$unsorted)) (= (tptp.in D (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))))) (let ((_let_35 (_let_5))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_34))) (let ((_let_38 (= _let_13 _let_31))) (let ((_let_39 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_40 (or _let_39 _let_38))) (let ((_let_41 (forall ((BOUND_VARIABLE_764 $$unsorted) (BOUND_VARIABLE_766 $$unsorted)) (or (tptp.empty BOUND_VARIABLE_764) (= (tptp.element BOUND_VARIABLE_766 BOUND_VARIABLE_764) (tptp.in BOUND_VARIABLE_766 BOUND_VARIABLE_764)))))) (let ((_let_42 (_let_41))) (let ((_let_43 (not _let_39))) (let ((_let_44 (not _let_3))) (let ((_let_45 (or _let_44 _let_17 _let_43))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.empty A)) (= A B) (not (tptp.empty B)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (not _let_31))) (let ((_let_49 (_let_32))) (let ((_let_50 (ASSUME :args (_let_11)))) (let ((_let_51 (ASSUME :args (_let_10)))) (let ((_let_52 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_50 _let_51 _let_52) :args (_let_19 _let_10 _let_11)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_52)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (SYMM (SYMM _let_51)) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_50))) :args (_let_11 _let_10 _let_19)) :args ((not (and _let_19 _let_10 _let_11)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_8))) (REFL :args ((not _let_10))) (REFL :args ((not _let_11))) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_33)) :args ((or _let_11 (not _let_32) (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_49) (CONG (REFL :args _let_49) (REFL :args (_let_48)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_12))) :args _let_23)) :args ((or _let_12 _let_48 _let_32))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 3)) _let_25 :args (_let_30 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or _let_14 _let_31 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 2)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_23)) :args ((or _let_13 _let_18))) _let_25 :args (_let_13 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_38 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_17 _let_43 (not _let_45)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 0)) _let_25 :args ((not _let_17) true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_43 false _let_3 true _let_17 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_42)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_40 false _let_41)) :args (_let_38 true _let_39 false _let_40)) :args (_let_31 false _let_13 false _let_38)) :args (_let_32 true _let_12 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35))) _let_36 :args (_let_34 false _let_5)) :args (_let_33 false _let_34)) :args (_let_11 false _let_32 false _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_16 _let_10 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_23)) :args ((or _let_15 _let_18))) _let_25 :args (_let_15 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_10 false _let_15 false _let_26)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 4)) _let_25 :args (_let_19 true _let_18)) :args (false false _let_11 false _let_10 true _let_8)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_6 _let_5 _let_4 true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset A))) (=> (tptp.element B _let_1) (tptp.element (tptp.subset_complement A B) _let_1)))) true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (= (tptp.subset_complement A (tptp.subset_complement A B)) B))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) _let_2 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.80/11.11 )
% 10.80/11.11 % SZS output end Proof for SEU171+1
% 10.80/11.11 % cvc5---1.0.5 exiting
% 10.80/11.11 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------