TSTP Solution File: SEU162+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU162+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 16:29:43 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU162+3 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n007.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 16:59:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mVIL0RvRse/cvc5---1.0.5_10543.p...
% 0.21/0.54 ------- get file name : TPTP file name is SEU162+3
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10543.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Theorem for SEU162+3
% 0.21/0.54 % SZS output start Proof for SEU162+3
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_difference A B) A))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.set_difference A (tptp.singleton B)) A) (not (tptp.in B A))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.in A B)) (tptp.disjoint (tptp.singleton A) B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.disjoint (tptp.singleton A) B) (tptp.in A B)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.disjoint A B)) (tptp.disjoint B A))))) (let ((_let_7 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_9 (tptp.disjoint _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (or _let_14 _let_9))) (let ((_let_16 (not _let_8))) (let ((_let_17 (or _let_16 _let_9))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7)))) (let ((_let_19 (not _let_14))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (= _let_18 _let_8))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.in A B) (tptp.disjoint (tptp.singleton A) B))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_6))) (let ((_let_25 ((not (= (tptp.disjoint A B) false))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted)) (= (not (tptp.in B A)) (= A (tptp.set_difference A (tptp.singleton B))))))) (let ((_let_27 (not _let_20))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (or))) (let ((_let_30 (not _let_26))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_28) :args (_let_30))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_27)) :args _let_29)) _let_28 :args (_let_27 true _let_26)))) (let ((_let_32 (_let_20))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= A (tptp.set_difference A B)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_difference A B)))) :args (_let_33)))) _let_34 :args (_let_21 false _let_33)))) (let ((_let_36 (not _let_21))) (let ((_let_37 (not _let_18))) (let ((_let_38 (_let_21))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_38) :args ((or _let_37 _let_8 _let_36))) _let_35 (REORDERING (CNF_EQUIV_NEG1 :args _let_32) :args ((or _let_19 _let_18 _let_20))) _let_31 (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_9 _let_16 (not _let_17)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_12 :args (_let_17 false _let_6)) (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_9 (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) true))))) :args (_let_22))) _let_23 :args (_let_15 false _let_22)) :args (_let_9 false _let_21 false _let_18 true _let_20 true _let_8 false _let_17 false _let_14 false _let_15)))) (let ((_let_40 (or _let_10 _let_19))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.disjoint (tptp.singleton A) B)) (not (tptp.in A B)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_8 _let_10 _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_38) :args ((or _let_18 _let_16 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_32) (CONG (REFL :args _let_32) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_14))) (REFL :args (_let_37)) :args _let_29)) :args ((or _let_14 _let_20 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_19 _let_10 (not _let_40)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.disjoint (tptp.singleton A) B) false))))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_19 false _let_9 false _let_40)) _let_31 :args (_let_37 true _let_14 true _let_20)) _let_35 :args (_let_16 true _let_18 false _let_21)) _let_39 :args (_let_13 true _let_8 false _let_9)) _let_12 :args (false true _let_11 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_5 _let_4 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SEU162+3
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------