TSTP Solution File: SEU135+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU135+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 16:29:28 EDT 2023
% Result : Theorem 25.34s 25.59s
% Output : Proof 25.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU135+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 01:06:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 25.34/25.59 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.jTNO2BfU1t/cvc5---1.0.5_15938.p...
% 25.34/25.59 ------- get file name : TPTP file name is SEU135+1
% 25.34/25.59 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15938.smt2...
% 25.34/25.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.34/25.59 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.34/25.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.34/25.59 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.34/25.59 % SZS status Theorem for SEU135+1
% 25.34/25.59 % SZS output start Proof for SEU135+1
% 25.34/25.59 (
% 25.34/25.59 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A (tptp.set_difference B A)) (tptp.set_union2 A B))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (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_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_121 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_121 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (or _let_6 _let_5))) (let ((_let_8 (not _let_6))) (let ((_let_9 (and _let_5 _let_8))) (let ((_let_10 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_121 _let_10))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (forall ((D $$unsorted)) (= (tptp.in D (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_14 (_let_3))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (_let_13))) (let ((_let_17 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_121 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_16) :args _let_17) :args _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_14))) _let_15 :args (_let_13 false _let_3)) :args (_let_12 false _let_13)))) (let ((_let_19 (or _let_11 _let_6))) (let ((_let_20 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_121 _let_20))) (let ((_let_22 (= _let_19 _let_21))) (let ((_let_23 (= _let_21 _let_7))) (let ((_let_24 (not _let_12))) (let ((_let_25 (not _let_9))) (let ((_let_26 (_let_12))) (let ((_let_27 (forall ((D $$unsorted)) (= (or (tptp.in D (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_28 (not _let_22))) (let ((_let_29 (forall ((D $$unsorted)) (= (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in D (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_30 (not _let_27))) (let ((_let_31 (= (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10) _let_20))) (let ((_let_32 (= _let_31 _let_29))) (let ((_let_33 (not _let_29))) (let ((_let_34 (_let_4))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not _let_31))) (let ((_let_37 (_let_2))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (or))) (let ((_let_40 (_let_30))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_27))) (REFL :args (_let_28)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO :args ((= _let_27 _let_29) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE))) :args ((or _let_29 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_32)) :args ((or _let_31 _let_33 (not _let_32)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args _let_37)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_36)) :args _let_39)) _let_38 :args (_let_36 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10 _let_20 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_34))) _let_35 :args (_let_32 false _let_4)) :args (_let_33 true _let_31 false _let_32)) :args (_let_30 true _let_29)) :args (_let_28 true _let_27)))) (let ((_let_42 (_let_22))) (let ((_let_43 (CNF_EQUIV_NEG2 :args _let_42))) (let ((_let_44 (forall ((D $$unsorted)) (= (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_45 (_let_44))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_45) :args _let_17) :args _let_45))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_34))) _let_35 :args (_let_44 false _let_4)) :args (_let_23 false _let_44)))) (let ((_let_47 (not _let_23))) (let ((_let_48 (not _let_7))) (let ((_let_49 (_let_23))) (let ((_let_50 (REORDERING (CNF_EQUIV_POS2 :args _let_49) :args ((or _let_21 _let_48 _let_47))))) (let ((_let_51 (MACRO_RESOLUTION_TRUST _let_50 _let_46 _let_43 _let_41 (REORDERING (CNF_OR_NEG :args (_let_7 0)) :args ((or _let_8 _let_7))) (CNF_OR_NEG :args (_let_19 1)) :args (_let_8 false _let_23 true _let_21 true _let_22 false _let_7 false _let_19)))) (let ((_let_52 (not _let_5))) (let ((_let_53 (_let_9))) (let ((_let_54 (not _let_21))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_49) :args ((or _let_54 _let_7 _let_47))) _let_46 (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_5 _let_48))) _let_51 (REORDERING (CNF_EQUIV_NEG1 :args _let_42) :args ((or _let_19 _let_21 _let_22))) _let_41 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_53) (CONG (REFL :args _let_53) (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_6))) :args _let_39)) :args ((or _let_6 _let_9 _let_52))) _let_51 (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_11 _let_6 (not _let_19)))) _let_51 (REORDERING (CNF_EQUIV_POS2 :args _let_26) :args ((or _let_11 _let_25 _let_24))) _let_18 :args (_let_11 false _let_23 true _let_7 true _let_6 false _let_21 true _let_22 true _let_5 true _let_6 true _let_19 true _let_6 true _let_9 false _let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_7 1)) :args ((or _let_52 _let_7))) (MACRO_RESOLUTION_TRUST _let_50 (MACRO_RESOLUTION_TRUST _let_43 _let_41 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 0)) _let_55 :args (_let_19 false _let_11)) :args (_let_54 true _let_22 false _let_19)) _let_46 :args (_let_48 true _let_21 false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_5 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_26) :args ((or (not _let_11) _let_9 _let_24))) _let_55 _let_18 :args (_let_9 false _let_11 false _let_12)) :args (_let_5 false _let_9)) :args (false true _let_7 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))) _let_3 true true true (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) _let_2 (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.34/25.59 )
% 25.34/25.59 % SZS output end Proof for SEU135+1
% 25.34/25.59 % cvc5---1.0.5 exiting
% 25.34/25.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------