TSTP Solution File: SEU129+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU129+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 16:29:24 EDT 2023
% Result : Theorem 14.56s 14.84s
% Output : Proof 14.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : SEU129+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.14 % Command : do_cvc5 %s %d
% 0.09/0.34 % Computer : n004.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8042.1875MB
% 0.09/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Wed Aug 23 16:26:53 EDT 2023
% 0.09/0.35 % CPUTime :
% 0.15/0.46 %----Proving TF0_NAR, FOF, or CNF
% 14.56/14.84 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8Nhuq6gr5w/cvc5---1.0.5_4903.p...
% 14.56/14.84 ------- get file name : TPTP file name is SEU129+1
% 14.56/14.84 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4903.smt2...
% 14.56/14.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 14.56/14.84 --- Run --no-e-matching --full-saturate-quant at 5...
% 14.56/14.84 % SZS status Theorem for SEU129+1
% 14.56/14.84 % SZS output start Proof for SEU129+1
% 14.56/14.84 (
% 14.56/14.84 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.subset A B) (tptp.subset (tptp.set_intersection2 A C) (tptp.set_intersection2 B C))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_4 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_111 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_111 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (= _let_9 _let_4))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (_let_11))) (let ((_let_14 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_15 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (tptp.subset _let_15 _let_14))) (let ((_let_17 (not _let_9))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset A B)) (tptp.subset (tptp.set_intersection2 A C) (tptp.set_intersection2 B C)))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (or))) (let ((_let_23 (not _let_19))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args (_let_23))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_22)) _let_21 :args (_let_20 true _let_19)))) (let ((_let_25 (not _let_8))) (let ((_let_26 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_111 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_27 (and _let_6 _let_26))) (let ((_let_28 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_111 _let_15))) (let ((_let_29 (= _let_28 _let_27))) (let ((_let_30 (forall ((D $$unsorted)) (= (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_31 (_let_2))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (_let_30))) (let ((_let_34 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_111 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_35 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_111 _let_14))) (let ((_let_36 (not _let_28))) (let ((_let_37 (or _let_36 _let_35))) (let ((_let_38 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (tptp.in C (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (= _let_16 _let_38))) (let ((_let_41 (not _let_38))) (let ((_let_42 (_let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_38))) (REFL :args (_let_39)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_40)) :args ((or _let_16 _let_41 (not _let_40)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 1)) _let_24 :args ((not _let_16) true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (_let_15 _let_14 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_12 :args (_let_40 false _let_11)) :args (_let_41 true _let_16 false _let_40)) :args (_let_39 true _let_38)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or _let_36 _let_27 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG (REFL :args (_let_37)) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_28))) :args _let_22)) :args ((or _let_28 _let_37))) _let_43 :args (_let_28 true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args _let_34) :args _let_33))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_31))) _let_32 :args (_let_30 false _let_2)) :args (_let_29 false _let_30)) :args (_let_27 false _let_28 false _let_29)))) (let ((_let_45 (not _let_27))) (let ((_let_46 (and _let_5 _let_26))) (let ((_let_47 (not _let_5))) (let ((_let_48 (= _let_35 _let_46))) (let ((_let_49 (not _let_46))) (let ((_let_50 (forall ((D $$unsorted)) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_51 (_let_50))) (let ((_let_52 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_52) :args _let_34) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_5 _let_7 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_46)) :args ((or _let_47 (not _let_26) _let_46))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 1)) :args ((or _let_26 _let_45))) _let_44 :args (_let_26 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_48)) :args ((or _let_35 _let_49 (not _let_48)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 1)) _let_43 :args ((not _let_35) true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args _let_34) :args _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_31))) _let_32 :args (_let_50 false _let_2)) :args (_let_48 false _let_50)) :args (_let_49 true _let_35 false _let_48)) :args (_let_47 false _let_26 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_6 _let_45))) _let_44 :args (_let_6 false _let_27)) :args (_let_25 true _let_5 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or _let_17 _let_4 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_9))) :args _let_22)) :args ((or _let_9 _let_18))) _let_24 :args (_let_9 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_12 :args (_let_10 false _let_11)) :args (_let_4 false _let_9 false _let_10)) :args (false true _let_8 false _let_4)) :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))) _let_3 _let_2 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)) _let_1 (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 14.56/14.84 )
% 14.56/14.84 % SZS output end Proof for SEU129+1
% 14.56/14.84 % cvc5---1.0.5 exiting
% 14.56/14.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------