TSTP Solution File: PUZ024-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ024-1 : 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 : Thu Aug 31 13:12:57 EDT 2023

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : PUZ024-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n023.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   : Sat Aug 26 22:53:41 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vIRNXmxcXB/cvc5---1.0.5_3643.p...
% 0.20/0.48  ------- get file name : TPTP file name is PUZ024-1
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3643.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Unsatisfiable for PUZ024-1
% 0.20/0.52  % SZS output start Proof for PUZ024-1
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (forall ((Truthteller $$unsorted)) (not (tptp.a_truth (tptp.truthteller Truthteller)))))) (let ((_let_2 (tptp.a_truth (tptp.says tptp.a tptp.all_are_liars)))) (let ((_let_3 (tptp.people tptp.a tptp.c tptp.b))) (let ((_let_4 (tptp.people tptp.b tptp.c tptp.a))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (tptp.a_truth tptp.all_are_liars) (not (tptp.people X Y Z)) (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.truthteller Z)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.a_truth (tptp.says X tptp.all_are_liars))) (not (tptp.people X Y Z)) (not (tptp.a_truth (tptp.truthteller X))))))) (let ((_let_7 (forall ((Statement $$unsorted) (Truthteller $$unsorted)) (or (not (tptp.a_truth Statement)) (not (tptp.a_truth (tptp.says Truthteller Statement))) (tptp.a_truth (tptp.truthteller Truthteller)))))) (let ((_let_8 (tptp.a_truth (tptp.truthteller tptp.a)))) (let ((_let_9 (tptp.a_truth (tptp.truthteller tptp.c)))) (let ((_let_10 (tptp.a_truth (tptp.truthteller tptp.b)))) (let ((_let_11 (not _let_4))) (let ((_let_12 (or _let_11 _let_10 _let_9 _let_8))) (let ((_let_13 (not _let_8))) (let ((_let_14 (not _let_3))) (let ((_let_15 (not _let_2))) (let ((_let_16 (or _let_15 _let_14 _let_13))) (let ((_let_17 (_let_6))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (ASSUME :args (_let_2)))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_14 _let_15 _let_13 (not _let_16)))) (ASSUME :args (_let_3)) _let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.people X Y Z) false))))) :args _let_17)) _let_18 :args (_let_16 false _let_6)) :args (_let_13 false _let_3 false _let_2 false _let_16)))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.people X Y Z)) (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.truthteller Z)))))) (let ((_let_22 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.people X Y Z)) (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.truthteller Z)))))) (let ((_let_23 (tptp.a_truth tptp.all_are_liars))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_15 _let_8))) (let ((_let_26 (_let_7))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (_let_21))) (let ((_let_29 (_let_1))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((tptp.truthteller Truthteller)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_10 _let_8 _let_9 (not _let_12)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args ((not _let_9) false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args ((not _let_10) false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args (tptp.b tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.people X Y Z) false))))) :args _let_28)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_21 (= X X) (= Y Y) (= Z Z)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_15 _let_8 (not _let_25)))) _let_19 _let_20 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.all_are_liars tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.says Truthteller Statement)))) :args _let_26)) _let_27 :args (_let_25 false _let_7)) :args (_let_24 false _let_2 true _let_8 false _let_25)) :args (_let_22 true _let_23)) :args (_let_21 false _let_22)) :args (_let_12 false _let_21)) _let_20 (ASSUME :args (_let_4)) :args (false true _let_9 true _let_10 false _let_12 true _let_8 false _let_4)) :args ((forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)))) (forall ((X $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.liar X))))) (forall ((Truthteller $$unsorted) (Statement $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller Truthteller))) (not (tptp.a_truth (tptp.says Truthteller Statement))) (tptp.a_truth Statement))) (forall ((Liar $$unsorted) (Statement $$unsorted)) (or (not (tptp.a_truth (tptp.liar Liar))) (not (tptp.a_truth (tptp.says Liar Statement))) (not (tptp.a_truth Statement)))) _let_7 (forall ((Statement $$unsorted) (Liar $$unsorted)) (or (tptp.a_truth Statement) (not (tptp.a_truth (tptp.says Liar Statement))) (tptp.a_truth (tptp.liar Liar)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.a_truth (tptp.says X tptp.one_truthteller))) (not (tptp.people X Y Z)) (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.truthteller Y))) (not (tptp.a_truth (tptp.truthteller Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.a_truth tptp.one_truthteller)) (not (tptp.people X Y Z)) (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.truthteller Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.a_truth tptp.one_truthteller)) (not (tptp.people X Y Z)) (not (tptp.a_truth (tptp.truthteller Y))) (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.truthteller Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.a_truth tptp.one_truthteller)) (not (tptp.people X Y Z)) (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.truthteller Y))) (tptp.a_truth (tptp.liar Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (tptp.a_truth tptp.one_truthteller) (not (tptp.people X Y Z)) (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.truthteller Y))) (tptp.a_truth (tptp.truthteller Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (tptp.a_truth tptp.one_truthteller) (not (tptp.people X Y Z)) (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.liar Y))) (tptp.a_truth (tptp.liar Z)))) _let_6 _let_5 _let_4 _let_3 (tptp.people tptp.c tptp.b tptp.a) _let_2 (tptp.a_truth (tptp.says tptp.b tptp.one_truthteller)) _let_1))))))))))))))))))))))))))))))))))
% 0.20/0.52  )
% 0.20/0.53  % SZS output end Proof for PUZ024-1
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------