TSTP Solution File: LAT042-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 06:02:43 EDT 2023

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n006.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   : Thu Aug 24 04:17:23 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wzyyTUtk8L/cvc5---1.0.5_30323.p...
% 0.20/0.49  ------- get file name : TPTP file name is LAT042-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30323.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Unsatisfiable for LAT042-1
% 0.20/0.53  % SZS output start Proof for LAT042-1
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (tptp.join tptp.a tptp.c))) (let ((_let_2 (tptp.join tptp.a tptp.b))) (let ((_let_3 (tptp.meet _let_2 _let_1))) (let ((_let_4 (tptp.meet tptp.b _let_1))) (let ((_let_5 (= (tptp.join tptp.a _let_4) _let_3))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.join Y Z)) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_10 (tptp.meet tptp.a _let_1))) (let ((_let_11 (= tptp.a _let_10))) (let ((_let_12 (tptp.meet _let_1 tptp.b))) (let ((_let_13 (= _let_4 _let_12))) (let ((_let_14 (tptp.meet _let_1 _let_2))) (let ((_let_15 (= _let_3 _let_14))) (let ((_let_16 (tptp.meet _let_1 tptp.a))) (let ((_let_17 (= _let_10 _let_16))) (let ((_let_18 (= _let_14 (tptp.join _let_16 _let_12)))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (_let_8))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 ((tptp.meet X Y)))) (let ((_let_24 (_let_7))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (and _let_11 _let_13 _let_15 _let_17 _let_18))) (let ((_let_27 (ASSUME :args (_let_15)))) (let ((_let_28 (ASSUME :args (_let_18)))) (let ((_let_29 (ASSUME :args (_let_13)))) (let ((_let_30 (ASSUME :args (_let_17)))) (let ((_let_31 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_26)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_27 _let_28 _let_30 _let_31 _let_29) (SCOPE (TRANS (CONG (TRANS (SYMM (SYMM _let_31)) (SYMM (SYMM _let_30))) (SYMM (SYMM _let_29)) :args (APPLY_UF tptp.join)) (SYMM _let_28) (SYMM _let_27)) :args (_let_15 _let_18 _let_17 _let_11 _let_13))) :args (_let_11 _let_13 _let_15 _let_17 _let_18))) :args (true _let_26)) :args ((or _let_5 (not _let_11) (not _let_13) (not _let_15) (not _let_17) (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_1 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.meet X (tptp.join Y Z))))) :args _let_24)) _let_25 :args (_let_18 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_17 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_15 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_13 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X Y)))) :args (_let_19))) _let_20 :args (_let_11 false _let_19)) (ASSUME :args (_let_6)) :args (false false _let_18 false _let_17 false _let_15 false _let_13 false _let_11 true _let_5)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= (tptp.join X X) X)) _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) _let_7 (forall ((X $$unsorted)) (= (tptp.join (tptp.complement X) X) tptp.n1)) (forall ((X $$unsorted)) (= (tptp.meet (tptp.complement X) X) tptp.n0)) (forall ((X $$unsorted)) (= (tptp.complement (tptp.complement X)) X)) _let_6))))))))))))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for LAT042-1
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------