TSTP Solution File: SEU107+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU107+1 : TPTP v8.1.2. Released v3.2.0.
% 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 16:29:17 EDT 2023
% Result : Theorem 22.66s 22.89s
% Output : Proof 22.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU107+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 23 18:03:21 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.45 %----Proving TF0_NAR, FOF, or CNF
% 22.66/22.89 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CmU5sepu7e/cvc5---1.0.5_19233.p...
% 22.66/22.89 ------- get file name : TPTP file name is SEU107+1
% 22.66/22.89 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19233.smt2...
% 22.66/22.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.66/22.89 --- Run --no-e-matching --full-saturate-quant at 5...
% 22.66/22.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 22.66/22.89 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.66/22.89 % SZS status Theorem for SEU107+1
% 22.66/22.89 % SZS output start Proof for SEU107+1
% 22.66/22.89 (
% 22.66/22.89 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.set_difference A B) tptp.empty_set) (tptp.subset A B))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_3 (not (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A)) (tptp.in tptp.empty_set A)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A) (tptp.element B A) (tptp.element C A)) (= (tptp.prebool_difference A B C) (tptp.set_difference B C)))))) (let ((_let_6 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.preboolean A) (tptp.element B A) (tptp.element C A)) (tptp.element (tptp.prebool_difference A B C) A))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element A B)) (tptp.empty B) (tptp.in A B))))) (let ((_let_9 (tptp.in tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (tptp.element tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10 _let_9))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71))) (let ((_let_17 (= tptp.empty_set _let_16))) (let ((_let_18 (tptp.prebool_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (tptp.element _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_21 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71))) (let ((_let_22 (= _let_21 _let_17))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (= tptp.empty_set (tptp.set_difference A B)))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (forall ((A $$unsorted)) (tptp.subset A A)))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.preboolean SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_10 _let_30 _let_28 _let_28 _let_19))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.empty A) (not (tptp.preboolean A)) (not (tptp.element B A)) (not (tptp.element C A)) (= (tptp.prebool_difference A B C) (tptp.set_difference B C)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_35 (forall ((B $$unsorted)) (not (tptp.element B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_36 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (not (tptp.element B A))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (_let_37))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40) (REWRITE :args ((=> _let_37 (not _let_28)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_35))) (REFL :args (_let_27)) :args _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_36))) _let_38 :args (_let_37 false _let_36)) :args (_let_27 true _let_35)))) (let ((_let_42 (or _let_10 _let_30 _let_9))) (let ((_let_43 (forall ((A $$unsorted)) (or (tptp.empty A) (not (tptp.preboolean A)) (tptp.in tptp.empty_set A))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (not _let_43))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_46))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_43))) (REFL :args (_let_44)) :args _let_39)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_39)) :args ((or _let_29 _let_42))) _let_47 :args (_let_29 true _let_42)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 0)) _let_47 :args ((not _let_10) true _let_42)))) (let ((_let_50 (or _let_10 _let_30 _let_28 _let_28 _let_20))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.empty A) (not (tptp.preboolean A)) (not (tptp.element B A)) (not (tptp.element C A)) (tptp.element (tptp.prebool_difference A B C) A))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (and _let_20 _let_19 _let_17))) (let ((_let_54 (_let_20 _let_19 _let_17))) (let ((_let_55 (ASSUME :args (_let_20)))) (let ((_let_56 (ASSUME :args (_let_19)))) (let ((_let_57 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_8))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_10 _let_9 _let_12 _let_15))) _let_49 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 2)) _let_47 :args ((not _let_9) true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_53)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_56 _let_57) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_57)) (SYMM _let_56)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args (APPLY_UF tptp.element)) (TRUE_INTRO _let_55))) :args _let_54)) :args _let_54)) :args (true _let_53)) :args ((or _let_11 (not _let_20) (not _let_19) (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_50))) :args ((or _let_10 _let_30 _let_28 _let_20 (not _let_50)))) _let_49 _let_48 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args _let_34) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_20 true _let_10 false _let_29 false _let_27 false _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_31))) :args ((or _let_10 _let_30 _let_28 _let_19 (not _let_31)))) _let_49 _let_48 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_34) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_19 true _let_10 false _let_29 false _let_27 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_22)) :args ((or _let_17 (not _let_21) (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_25))) _let_26 :args (_let_21 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (_let_17 false _let_21 false _let_22)) :args (_let_11 false _let_20 false _let_19 false _let_17)) :args (_let_15 true _let_10 true _let_9 false _let_11)) _let_14 :args (false true _let_13 false _let_8)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) (forall ((A $$unsorted)) (=> (tptp.preboolean A) (and (tptp.cup_closed A) (tptp.diff_closed A)))) (forall ((A $$unsorted)) (=> (tptp.finite A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (and (tptp.cup_closed A) (tptp.diff_closed A)) (tptp.preboolean A))) _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.finite A) (tptp.finite (tptp.set_difference A B)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) (tptp.empty tptp.empty_set) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.cup_closed A) (tptp.cap_closed A) (tptp.diff_closed A) (tptp.preboolean A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B) (tptp.relation B) (tptp.function B) (tptp.one_to_one B) (tptp.epsilon_transitive B) (tptp.epsilon_connected B) (tptp.ordinal B) (tptp.natural B) (tptp.finite B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_2 _let_1 (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) (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)))) (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.66/22.90 )
% 22.66/22.90 % SZS output end Proof for SEU107+1
% 22.66/22.90 % cvc5---1.0.5 exiting
% 22.66/22.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------