TSTP Solution File: SEU144+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU144+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 16:29:31 EDT 2023
% Result : Theorem 0.16s 0.45s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU144+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Aug 23 14:59:41 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.40 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.45 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kr3sHJlagw/cvc5---1.0.5_1334.p...
% 0.16/0.45 ------- get file name : TPTP file name is SEU144+1
% 0.16/0.45 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1334.smt2...
% 0.16/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.45 % SZS status Theorem for SEU144+1
% 0.16/0.45 % SZS output start Proof for SEU144+1
% 0.16/0.45 (
% 0.16/0.45 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset (tptp.singleton A) B) (tptp.in A B))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_5 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_6))) (let ((_let_11 (tptp.subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (= _let_11 _let_5))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_13))) _let_14 :args (_let_12 false _let_13)))) (let ((_let_16 (= _let_11 _let_6))) (let ((_let_17 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_7))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_22 (= _let_18 _let_21))) (let ((_let_23 (not _let_16))) (let ((_let_24 (_let_2))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (or))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args _let_24)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_23)) :args _let_26)) _let_25 :args (_let_23 true _let_1)))) (let ((_let_28 (_let_16))) (let ((_let_29 (not _let_12))) (let ((_let_30 (not _let_5))) (let ((_let_31 (_let_12))) (let ((_let_32 (_let_30))) (let ((_let_33 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_ENUM)) :args (_let_34)))) _let_35 :args (_let_33 false _let_34)))) (let ((_let_37 (_let_33))) (let ((_let_38 ((tptp.in C _let_7)))) (let ((_let_39 (ASSUME :args _let_37))) (let ((_let_40 (not _let_17))) (let ((_let_41 (not _let_6))) (let ((_let_42 (ASSUME :args (_let_6)))) (let ((_let_43 (ASSUME :args (_let_21)))) (let ((_let_44 (ASSUME :args (_let_40)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 _let_43 _let_44) :args (_let_6 _let_40 _let_21)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_44)) (CONG (SYMM _let_43) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_42))) :args (_let_6 _let_21 _let_40)) :args ((not (and _let_6 _let_40 _let_21)) SB_LITERAL))) (CONG (REFL :args (_let_41)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_17))) (REFL :args ((not _let_21))) :args _let_26)) (REORDERING (CNF_EQUIV_POS1 :args (_let_22)) :args ((or _let_19 _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37))) _let_36 :args (_let_22 false _let_33)) (CNF_OR_NEG :args (_let_20 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG (REFL :args (_let_20)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_26)) :args ((or _let_18 _let_20))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_5))) (REFL :args ((not _let_20))) :args _let_26)) (REORDERING (CNF_EQUIV_POS2 :args _let_31) :args ((or _let_11 _let_30 _let_29))) _let_15 (REORDERING (CNF_EQUIV_NEG1 :args _let_28) :args ((or _let_11 _let_6 _let_16))) _let_27 :args (_let_11 false _let_21 false _let_22 true _let_17 false _let_18 true _let_20 true _let_5 false _let_12 false _let_6 true _let_16)))) (let ((_let_46 (not _let_10))) (let ((_let_47 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) true))))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_6 _let_9 _let_46))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_28) _let_27 _let_45 :args (_let_41 true _let_16 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37))) :args ((or _let_8 (not _let_33)))) _let_36 :args (_let_8 false _let_33)) :args (_let_46 true _let_6 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_31) :args ((or (not _let_11) _let_5 _let_29))) _let_45 _let_15 :args (_let_5 false _let_11 false _let_12)) :args (false true _let_10 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_4 _let_3 true _let_2 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) true))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.16/0.45 )
% 0.16/0.45 % SZS output end Proof for SEU144+1
% 0.16/0.45 % cvc5---1.0.5 exiting
% 0.16/0.45 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------