TSTP Solution File: CAT006-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 18:14:30 EDT 2023
% Result : Unsatisfiable 0.37s 0.52s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 00:38:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vx7Vn9oqus/cvc5---1.0.5_21664.p...
% 0.21/0.49 ------- get file name : TPTP file name is CAT006-3
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21664.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.37/0.52 % SZS status Unsatisfiable for CAT006-3
% 0.37/0.52 % SZS output start Proof for CAT006-3
% 0.37/0.52 (
% 0.37/0.52 (let ((_let_1 (tptp.codomain tptp.a))) (let ((_let_2 (not (= _let_1 tptp.d)))) (let ((_let_3 (forall ((X $$unsorted)) (let ((_let_1 (tptp.compose tptp.d X))) (or (not (tptp.there_exists _let_1)) (= _let_1 X)))))) (let ((_let_4 (tptp.there_exists (tptp.compose tptp.d tptp.a)))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.compose X (tptp.domain X)) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (= (tptp.domain X) (tptp.codomain Y)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (tptp.there_exists (tptp.domain X)))))) (let ((_let_8 (forall ((X $$unsorted)) (or (not (tptp.there_exists (tptp.domain X))) (tptp.there_exists X))))) (let ((_let_9 (forall ((X $$unsorted)) (let ((_let_1 (tptp.compose tptp.d X))) (or (not (tptp.there_exists _let_1)) (= X _let_1)))))) (let ((_let_10 (tptp.domain tptp.d))) (let ((_let_11 (tptp.compose tptp.d _let_10))) (let ((_let_12 (= _let_10 _let_11))) (let ((_let_13 (tptp.there_exists _let_11))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (= tptp.d _let_11))) (let ((_let_19 (= _let_1 _let_10))) (let ((_let_20 (= tptp.d _let_1))) (let ((_let_21 (not _let_12))) (let ((_let_22 (forall ((X $$unsorted)) (= X (tptp.compose X (tptp.domain X)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args (_let_22))) _let_23 :args (_let_18 false _let_22)))) (let ((_let_25 (not _let_4))) (let ((_let_26 (or _let_25 _let_19))) (let ((_let_27 (_let_6))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (ASSUME :args (_let_4)))) (let ((_let_30 (SYMM (ASSUME :args (_let_2))))) (let ((_let_31 (not _let_20))) (let ((_let_32 (and _let_31 _let_19 _let_18))) (let ((_let_33 (ASSUME :args (_let_19)))) (let ((_let_34 (ASSUME :args (_let_18)))) (let ((_let_35 (SYMM _let_34))) (let ((_let_36 (tptp.there_exists tptp.d))) (let ((_let_37 (tptp.there_exists _let_10))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36))) (let ((_let_40 (_let_8))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (or _let_25 _let_37))) (let ((_let_43 (_let_7))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (and _let_36 _let_18))) (let ((_let_46 (_let_36 _let_18))) (let ((_let_47 (ASSUME :args (_let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose tptp.d X)))) :args (_let_9))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 _let_17))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_45)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_34) (SCOPE (TRUE_ELIM (TRANS (CONG _let_35 :args (APPLY_UF tptp.there_exists)) (TRUE_INTRO _let_47))) :args _let_46)) :args _let_46)) :args (true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_36 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_25 _let_37 (not _let_42)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.d tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_43)) _let_44 :args (_let_42 false _let_7)) :args (_let_37 false _let_4 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args _let_40)) _let_41 :args (_let_39 false _let_8)) :args (_let_36 false _let_37 false _let_39)) _let_24 :args (_let_13 false _let_36 false _let_18)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_32)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_34 _let_30 _let_33) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_35 (SYMM _let_33) :args (=)) (FALSE_INTRO _let_30)) :args ((= _let_12 false)))) :args (_let_18 _let_31 _let_19))) :args (_let_31 _let_19 _let_18))) :args (true _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_20))) (REFL :args ((not _let_19))) (REFL :args ((not _let_18))) (REFL :args (_let_21)) :args (or))) _let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_19 (not _let_26)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.d tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_27))) _let_28 :args (_let_26 false _let_6)) :args (_let_19 false _let_4 false _let_26)) _let_24 :args (_let_21 true _let_20 false _let_19 false _let_18)) :args (_let_17 false _let_13 true _let_12)) _let_16 :args (false true _let_15 false _let_9)) :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))) _let_7 _let_6 (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))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))) _let_5 (forall ((X $$unsorted)) (= (tptp.compose (tptp.codomain X) X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equivalent X Y)) (tptp.there_exists Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists X)) (not (tptp.there_exists Y)) (not (= X Y)) (tptp.equivalent X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (tptp.there_exists (tptp.codomain X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.there_exists (tptp.f1 X Y)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (= X _let_1) (= Y _let_1) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (not (= X _let_1)) (not (= Y _let_1)) (= X Y)))) _let_4 (forall ((X $$unsorted)) (let ((_let_1 (tptp.compose X tptp.d))) (or (not (tptp.there_exists _let_1)) (= _let_1 X)))) _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.37/0.52 )
% 0.37/0.53 % SZS output end Proof for CAT006-3
% 0.37/0.53 % cvc5---1.0.5 exiting
% 0.37/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------