TSTP Solution File: SET873+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET873+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 14:40:50 EDT 2023
% Result : Theorem 10.39s 10.63s
% Output : Proof 10.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET873+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n013.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 : Sat Aug 26 08:56:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 10.39/10.63 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.YZIdQzq7Sv/cvc5---1.0.5_24060.p...
% 10.39/10.63 ------- get file name : TPTP file name is SET873+1
% 10.39/10.63 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24060.smt2...
% 10.39/10.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.39/10.63 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.39/10.63 % SZS status Theorem for SET873+1
% 10.39/10.63 % SZS output start Proof for SET873+1
% 10.39/10.63 (
% 10.39/10.63 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (=> (= (tptp.set_union2 _let_1 (tptp.singleton B)) _let_1) (= A B))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset (tptp.set_union2 (tptp.singleton A) B) B) (tptp.in A B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_6 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.set_union2 _let_7 _let_6))) (let ((_let_9 (= _let_7 _let_8))) (let ((_let_10 (tptp.set_union2 _let_6 _let_7))) (let ((_let_11 (tptp.subset _let_10 _let_7))) (let ((_let_12 (= _let_8 _let_10))) (let ((_let_13 (tptp.subset _let_10 _let_10))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (not _let_9))) (let ((_let_16 (or _let_15 _let_14))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (or (not (= _let_1 (tptp.set_union2 _let_1 (tptp.singleton B)))) (= A B)))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_21))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7))) (let ((_let_24 (not _let_11))) (let ((_let_25 (or _let_24 _let_23))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset (tptp.set_union2 (tptp.singleton A) B) B)) (tptp.in A B))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (= _let_14 _let_23))) (let ((_let_29 (not _let_23))) (let ((_let_30 (forall ((C $$unsorted)) (= (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_30))) (let ((_let_34 (_let_5))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (forall ((A $$unsorted)) (tptp.subset A A)))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (ASSUME :args (_let_13)))) (let ((_let_39 (ASSUME :args (_let_12)))) (let ((_let_40 (ASSUME :args (_let_9)))) (let ((_let_41 (ASSUME :args (_let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_38 _let_39 _let_40 _let_41) :args (_let_9 _let_24 _let_12 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_41)) (CONG (REFL :args (_let_10)) (TRANS (SYMM (SYMM _let_40)) (SYMM (SYMM _let_39))) :args (APPLY_UF tptp.subset)) (TRUE_INTRO _let_38))) :args (_let_13 _let_12 _let_9 _let_24)) :args ((not (and _let_9 _let_24 _let_12 _let_13)) SB_LITERAL))) (CONG (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_11))) (REFL :args ((not _let_12))) (REFL :args ((not _let_13))) :args _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_36))) _let_37 :args (_let_13 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_7 _let_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_34)) _let_35 :args (_let_12 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_23 _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_14 _let_29 (not _let_28)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 1)) _let_22 :args ((not _let_14) true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_33))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_31)))) _let_32 :args (_let_30 false _let_31)) :args (_let_28 false _let_30)) :args (_let_29 true _let_14 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_24 true _let_23 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_9))) :args _let_20)) :args ((or _let_9 _let_16))) _let_22 :args (_let_9 true _let_16)) :args (false false _let_13 false _let_12 true _let_11 false _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_5 _let_4 (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)) _let_3 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))
% 10.39/10.63 )
% 10.39/10.63 % SZS output end Proof for SET873+1
% 10.39/10.63 % cvc5---1.0.5 exiting
% 10.39/10.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------