TSTP Solution File: CAT011-4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT011-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 : Wed Aug 30 18:14:34 EDT 2023
% Result : Unsatisfiable 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CAT011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 00:15:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kQfEeYbrDb/cvc5---1.0.5_19851.p...
% 0.22/0.51 ------- get file name : TPTP file name is CAT011-4
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19851.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54 % SZS status Unsatisfiable for CAT011-4
% 0.22/0.54 % SZS output start Proof for CAT011-4
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (tptp.domain tptp.a))) (let ((_let_2 (tptp.domain _let_1))) (let ((_let_3 (not (= _let_2 _let_1)))) (let ((_let_4 (tptp.there_exists _let_1))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.compose X (tptp.domain X)) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (= (tptp.domain X) (tptp.codomain Y)))))) (let ((_let_8 (forall ((X $$unsorted)) (or (not (tptp.there_exists (tptp.domain X))) (tptp.there_exists X))))) (let ((_let_9 (tptp.compose tptp.a _let_1))) (let ((_let_10 (tptp.codomain _let_2))) (let ((_let_11 (= _let_10 (tptp.domain _let_9)))) (let ((_let_12 (tptp.compose _let_9 _let_2))) (let ((_let_13 (tptp.there_exists _let_12))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_11))) (let ((_let_16 (_let_7))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_15))) (let ((_let_19 (= _let_2 _let_10))) (let ((_let_20 (= tptp.a _let_9))) (let ((_let_21 (= _let_1 _let_2))) (let ((_let_22 (not _let_11))) (let ((_let_23 (tptp.compose _let_1 _let_2))) (let ((_let_24 (tptp.there_exists _let_23))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_19))) (let ((_let_27 ((tptp.compose X Y)))) (let ((_let_28 (= _let_1 _let_23))) (let ((_let_29 (forall ((X $$unsorted)) (= X (tptp.compose X (tptp.domain X)))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 ((tptp.domain X)))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_28 false _let_29)))) (let ((_let_34 (ASSUME :args (_let_4)))) (let ((_let_35 (and _let_4 _let_28))) (let ((_let_36 (_let_4 _let_28))) (let ((_let_37 (APPLY_UF tptp.there_exists))) (let ((_let_38 (ASSUME :args (_let_28)))) (let ((_let_39 (SYMM _let_38))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_20 false _let_29)))) (let ((_let_41 (SYMM (ASSUME :args (_let_3))))) (let ((_let_42 (not _let_21))) (let ((_let_43 (and _let_42 _let_20 _let_19))) (let ((_let_44 (ASSUME :args (_let_19)))) (let ((_let_45 (ASSUME :args (_let_20)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (= (tptp.compose tptp.a _let_23) _let_12))) (let ((_let_48 (tptp.there_exists tptp.a))) (let ((_let_49 (_let_6))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (not _let_4))) (let ((_let_52 (or _let_51 _let_48))) (let ((_let_53 (_let_8))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (and _let_48 _let_20 _let_28 _let_47))) (let ((_let_56 (_let_48 _let_20 _let_28 _let_47))) (let ((_let_57 (ASSUME :args (_let_48)))) (let ((_let_58 (ASSUME :args (_let_47)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_9 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_16))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_11 _let_18))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_45 _let_38 _let_58) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_58) (CONG (REFL :args (tptp.a)) _let_39 :args (APPLY_UF tptp.compose)) _let_46) :args _let_37) (TRUE_INTRO _let_57))) :args _let_56)) :args _let_56)) :args (true _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_48 (not _let_52)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args _let_53)) _let_54 :args (_let_52 false _let_8)) :args (_let_48 false _let_4 false _let_52)) _let_40 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.compose X (tptp.compose Y Z))))) :args _let_49)) _let_50 :args (_let_47 false _let_6)) :args (_let_13 false _let_48 false _let_20 false _let_28 false _let_47)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_41 _let_44) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (CONG _let_46 :args (APPLY_UF tptp.domain)) (SYMM _let_44) :args (=)) (FALSE_INTRO _let_41)) :args ((= _let_11 false)))) :args (_let_20 _let_42 _let_19))) :args (_let_42 _let_20 _let_19))) :args (true _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_21))) (REFL :args ((not _let_20))) (REFL :args ((not _let_19))) (REFL :args (_let_22)) :args (or))) _let_41 _let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_19 (not _let_26)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_35)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_34 _let_38) (SCOPE (TRUE_ELIM (TRANS (CONG _let_39 :args _let_37) (TRUE_INTRO _let_34))) :args _let_36)) :args _let_36)) :args (true _let_35)) _let_34 _let_33 :args (_let_24 false _let_4 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_16)) _let_17 :args (_let_26 false _let_7)) :args (_let_19 false _let_24 false _let_26)) :args (_let_22 true _let_21 false _let_20 false _let_19)) :args (_let_18 false _let_13 true _let_11)) _let_17 :args (false true _let_15 false _let_7)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equivalent X Y)) (tptp.there_exists X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equivalent X Y)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists X)) (not (= X Y)) (tptp.equivalent X Y))) _let_8 (forall ((X $$unsorted)) (or (not (tptp.there_exists (tptp.codomain X))) (tptp.there_exists X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (tptp.there_exists (tptp.domain X)))) _let_7 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.domain X))) (or (not (tptp.there_exists _let_1)) (not (= _let_1 (tptp.codomain Y))) (tptp.there_exists (tptp.compose X Y))))) _let_6 _let_5 (forall ((X $$unsorted)) (= (tptp.compose (tptp.codomain X) X) X)) _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.55 % SZS output end Proof for CAT011-4
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------