TSTP Solution File: LCL161-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 07:00:54 EDT 2023

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Aug 25 06:00:58 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.46  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.h95iglPtIV/cvc5---1.0.5_8968.p...
% 0.19/0.47  ------- get file name : TPTP file name is LCL161-1
% 0.19/0.47  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8968.smt2...
% 0.19/0.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.52  % SZS status Unsatisfiable for LCL161-1
% 0.19/0.52  % SZS output start Proof for LCL161-1
% 0.19/0.52  (
% 0.19/0.52  (let ((_let_1 (tptp.implies tptp.truth tptp.x))) (let ((_let_2 (not (= _let_1 tptp.x)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.xor tptp.truth (tptp.and_star X (tptp.xor tptp.truth Y))))))) (let ((_let_4 (tptp.not tptp.truth))) (let ((_let_5 (= _let_4 tptp.falsehood))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star X Y) (tptp.and_star Y X))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X Y) (tptp.xor Y X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X (tptp.xor tptp.truth Y)) (tptp.xor (tptp.xor X tptp.truth) Y))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.and_star X tptp.truth) X)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.xor X tptp.falsehood) X)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.not X) (tptp.xor X tptp.truth))))) (let ((_let_12 (forall ((X $$unsorted)) (= X (tptp.xor X tptp.falsehood))))) (let ((_let_13 (= tptp.x (tptp.xor tptp.x tptp.falsehood)))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (tptp.xor tptp.x tptp.truth))) (let ((_let_16 (tptp.xor tptp.truth tptp.truth))) (let ((_let_17 (= (tptp.xor tptp.x _let_16) (tptp.xor _let_15 tptp.truth)))) (let ((_let_18 (tptp.xor tptp.truth tptp.x))) (let ((_let_19 (tptp.and_star _let_18 tptp.truth))) (let ((_let_20 (= _let_18 _let_19))) (let ((_let_21 (tptp.and_star tptp.truth _let_18))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (tptp.xor tptp.truth _let_21))) (let ((_let_24 (= _let_23 (tptp.xor _let_21 tptp.truth)))) (let ((_let_25 (= _let_18 _let_15))) (let ((_let_26 (= _let_1 _let_23))) (let ((_let_27 (= _let_4 _let_16))) (let ((_let_28 (= tptp.falsehood _let_4))) (let ((_let_29 (= tptp.x _let_1))) (let ((_let_30 (not _let_13))) (let ((_let_31 (_let_8))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (forall ((X $$unsorted)) (= X (tptp.and_star X tptp.truth))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_6))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_7))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((tptp.xor X Y)))) (let ((_let_40 (_let_3))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (_let_11))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (SYMM (ASSUME :args (_let_5))))) (let ((_let_45 (SYMM (ASSUME :args (_let_2))))) (let ((_let_46 (not _let_17))) (let ((_let_47 (not _let_20))) (let ((_let_48 (not _let_22))) (let ((_let_49 (not _let_24))) (let ((_let_50 (not _let_25))) (let ((_let_51 (not _let_26))) (let ((_let_52 (not _let_27))) (let ((_let_53 (not _let_28))) (let ((_let_54 (not _let_29))) (let ((_let_55 (and _let_28 _let_54 _let_27 _let_26 _let_25 _let_24 _let_22 _let_20 _let_17))) (let ((_let_56 (ASSUME :args (_let_26)))) (let ((_let_57 (ASSUME :args (_let_24)))) (let ((_let_58 (APPLY_UF tptp.xor))) (let ((_let_59 (REFL :args (tptp.truth)))) (let ((_let_60 (ASSUME :args (_let_22)))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (ASSUME :args (_let_20)))) (let ((_let_63 (ASSUME :args (_let_25)))) (let ((_let_64 (ASSUME :args (_let_17)))) (let ((_let_65 (ASSUME :args (_let_27)))) (let ((_let_66 (REFL :args (tptp.x)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.xor X tptp.falsehood)))) :args (_let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_56 _let_57 _let_60 _let_62 _let_63 _let_64 _let_65 _let_44) (SCOPE (FALSE_ELIM (TRANS (CONG _let_66 (TRANS (CONG _let_66 (TRANS (SYMM (SYMM _let_44)) (SYMM (SYMM _let_65))) :args _let_58) (SYMM (SYMM _let_64)) (CONG (TRANS (TRANS (SYMM _let_63) (SYMM (SYMM _let_62)) _let_61) _let_60) _let_59 :args _let_58) (CONG _let_61 _let_59 :args _let_58) (SYMM _let_57) (SYMM _let_56)) :args (=)) (FALSE_INTRO _let_45))) :args (_let_54 _let_26 _let_24 _let_22 _let_20 _let_25 _let_17 _let_27 _let_28))) :args (_let_28 _let_54 _let_27 _let_26 _let_25 _let_24 _let_22 _let_20 _let_17))) :args (true _let_55)) (CONG (REFL :args (_let_53)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_29))) (REFL :args (_let_52)) (REFL :args (_let_51)) (REFL :args (_let_50)) (REFL :args (_let_49)) (REFL :args (_let_48)) (REFL :args (_let_47)) (REFL :args (_let_46)) (REFL :args (_let_30)) :args (or))) :args ((or _let_29 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_30))) _let_45 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.not X)))) :args _let_42)) _let_43 :args (_let_27 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.truth tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.implies X Y)))) :args _let_40)) _let_41 :args (_let_26 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.truth tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_37)) _let_38 :args (_let_25 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.truth _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_37)) _let_38 :args (_let_24 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.truth _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and_star X Y)))) :args _let_35)) _let_36 :args (_let_22 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and_star X tptp.truth)))) :args (_let_33))) _let_34 :args (_let_20 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.x tptp.truth QUANTIFIERS_INST_E_MATCHING ((tptp.xor (tptp.xor X tptp.truth) Y)))) :args _let_31)) _let_32 :args (_let_17 false _let_8)) :args (_let_30 true _let_29 false _let_28 false _let_27 false _let_26 false _let_25 false _let_24 false _let_22 false _let_20 false _let_17)) _let_14 :args (false true _let_13 false _let_12)) :args (_let_11 _let_10 (forall ((X $$unsorted)) (= (tptp.xor X X) tptp.falsehood)) _let_9 (forall ((X $$unsorted)) (= (tptp.and_star X tptp.falsehood) tptp.falsehood)) (forall ((X $$unsorted)) (= (tptp.and_star (tptp.xor tptp.truth X) X) tptp.falsehood)) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star (tptp.xor (tptp.and_star (tptp.xor tptp.truth X) Y) tptp.truth) Y) (tptp.and_star (tptp.xor (tptp.and_star (tptp.xor tptp.truth Y) X) tptp.truth) X))) _let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and_star (tptp.and_star X Y) Z) (tptp.and_star X (tptp.and_star Y Z)))) _let_6 _let_5 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.52  )
% 0.19/0.53  % SZS output end Proof for LCL161-1
% 0.19/0.53  % cvc5---1.0.5 exiting
% 0.19/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------