TSTP Solution File: SEU138+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU138+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 16:29:29 EDT 2023
% Result : Theorem 24.91s 25.11s
% Output : Proof 24.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU138+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 15:12:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 24.91/25.11 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nOSL6ZFt81/cvc5---1.0.5_17987.p...
% 24.91/25.11 ------- get file name : TPTP file name is SEU138+1
% 24.91/25.11 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17987.smt2...
% 24.91/25.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 24.91/25.11 --- Run --no-e-matching --full-saturate-quant at 5...
% 24.91/25.11 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 24.91/25.11 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 24.91/25.11 % SZS status Theorem for SEU138+1
% 24.91/25.11 % SZS output start Proof for SEU138+1
% 24.91/25.11 (
% 24.91/25.11 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_difference A (tptp.set_difference A B)) (tptp.set_intersection2 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 $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_163 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_163 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (and _let_6 _let_5))) (let ((_let_8 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_163 _let_8))) (let ((_let_10 (= _let_9 _let_7))) (let ((_let_11 (forall ((D $$unsorted)) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_12 (_let_4))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (_let_11))) (let ((_let_15 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_163 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_14) :args _let_15) :args _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_12))) _let_13 :args (_let_11 false _let_4)) :args (_let_10 false _let_11)))) (let ((_let_17 (not _let_7))) (let ((_let_18 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_163 _let_18))) (let ((_let_20 (not _let_6))) (let ((_let_21 (not _let_19))) (let ((_let_22 (and _let_6 _let_21))) (let ((_let_23 (not _let_5))) (let ((_let_24 (and _let_6 _let_23))) (let ((_let_25 (= _let_19 _let_24))) (let ((_let_26 (= _let_22 _let_9))) (let ((_let_27 (not _let_22))) (let ((_let_28 (forall ((D $$unsorted)) (= (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.in D (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_29 (_let_3))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (_let_28))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_31) :args _let_15) :args _let_31))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_18 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_29))) _let_30 :args (_let_28 false _let_3)) :args (_let_25 false _let_28)))) (let ((_let_33 (not _let_25))) (let ((_let_34 (_let_25))) (let ((_let_35 (forall ((D $$unsorted)) (= (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not (tptp.in D (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_36 (not _let_26))) (let ((_let_37 (= (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18) _let_8))) (let ((_let_38 (= _let_37 _let_35))) (let ((_let_39 (not _let_35))) (let ((_let_40 (not _let_37))) (let ((_let_41 (_let_2))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (or))) (let ((_let_44 (_let_39))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_35))) (REFL :args (_let_36)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_38)) :args ((or _let_37 _let_39 (not _let_38)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_40)) :args _let_43)) _let_42 :args (_let_40 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18 _let_8 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_29))) _let_30 :args (_let_38 false _let_3)) :args (_let_39 true _let_37 false _let_38)) :args (_let_36 true _let_35)))) (let ((_let_46 (_let_26))) (let ((_let_47 (REORDERING (CNF_EQUIV_NEG1 :args _let_46) :args ((or _let_22 _let_9 _let_26))))) (let ((_let_48 (not _let_24))) (let ((_let_49 (not _let_10))) (let ((_let_50 (_let_10))) (let ((_let_51 (REORDERING (CNF_EQUIV_POS1 :args _let_50) :args ((or (not _let_9) _let_7 _let_49))))) (let ((_let_52 (REFL :args (_let_20)))) (let ((_let_53 (_let_22))) (let ((_let_54 (_let_24))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_7)) :args ((or _let_20 _let_7 _let_23))) (REORDERING (CNF_EQUIV_POS2 :args _let_50) :args ((or _let_9 _let_17 _let_49))) _let_16 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_54) (CONG (REFL :args _let_54) _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_5))) :args _let_43)) :args ((or _let_20 _let_5 _let_24))) (CNF_EQUIV_NEG2 :args _let_46) _let_45 (REORDERING (CNF_EQUIV_POS2 :args _let_34) :args ((or _let_19 _let_48 _let_33))) _let_32 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_53) (CONG (REFL :args _let_53) _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_19))) :args _let_43)) :args ((or _let_19 _let_22 _let_20))) :args ((or _let_19 _let_20) true _let_7 false _let_10 false _let_5 true _let_9 true _let_26 true _let_24 false _let_25 false _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 1)) :args ((or _let_5 _let_17))) _let_51 _let_16 (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_23 _let_48))) _let_47 _let_45 (REORDERING (CNF_EQUIV_POS1 :args _let_34) :args ((or _let_21 _let_24 _let_33))) _let_32 (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_21 _let_27))) :args (_let_21 false _let_7 false _let_10 true _let_5 false _let_9 true _let_26 false _let_24 false _let_25 true _let_22)) :args (_let_20 true _let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_51 (MACRO_RESOLUTION_TRUST _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_6 _let_27))) _let_55 :args (_let_27 true _let_6)) _let_45 :args (_let_9 true _let_22 true _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 0)) :args ((or _let_6 _let_17))) _let_55 :args (_let_17 true _let_6)) _let_16 :args (false false _let_9 true _let_7 false _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))) _let_4 _let_3 true true true (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 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 $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) _let_2 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 24.91/25.11 )
% 24.91/25.11 % SZS output end Proof for SEU138+1
% 24.91/25.11 % cvc5---1.0.5 exiting
% 24.91/25.12 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------