TSTP Solution File: PUZ149_13 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 13:13:37 EDT 2023

% Result   : Theorem 0.22s 0.54s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 22:32:17 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.54  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.TMJZ8juN6f/cvc5---1.0.5_24345.p...
% 0.22/0.54  ------- get file name : TPTP file name is PUZ149_13
% 0.22/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24345.smt2...
% 0.22/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54  % SZS status Theorem for PUZ149_13
% 0.22/0.54  % SZS output start Proof for PUZ149_13
% 0.22/0.54  (
% 0.22/0.54  (let ((_let_1 (not (and (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W) (not (tptp.acid W)))) (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| W W0) (tptp.acid W0))))))))) (let ((_let_2 (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'#idx(make_c)'| |tptp.'$ki_local_world'| W) (tptp.acid W))))) (let ((_let_3 (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W) (not (tptp.acid W)))))) (let ((_let_4 (=> (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| W W0) (not (tptp.acid W0)))))) (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(make_c)'| |tptp.'$ki_local_world'| W) (not (tptp.acid W))))))) (let ((_let_5 (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.acid SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (not _let_5))) (let ((_let_8 (or _let_7 _let_6))) (let ((_let_9 (or _let_7 (not (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.acid SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_10 (forall ((W |tptp.'$ki_world'|) (BOUND_VARIABLE_724 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W)) (not (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| W BOUND_VARIABLE_724)) (not (tptp.acid BOUND_VARIABLE_724)))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(make_c)'| |tptp.'$ki_local_world'| W)) (not (tptp.acid W)))))) (let ((_let_13 (not _let_10))) (let ((_let_14 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(make_c)'| |tptp.'$ki_local_world'| W)) (not (tptp.acid W)))))) (let ((_let_15 (not _let_12))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_12 _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_12 (= W W)))) :args ((or _let_14 _let_15))) (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args (_let_15 true _let_14)) :args (_let_13 true _let_12)))) (let ((_let_17 (or))) (let ((_let_18 (_let_13))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 0)) (CONG (REFL :args (_let_9)) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_5))) :args _let_17)) :args ((or _let_5 _let_9))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_18)) :args _let_18)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_10))) (REFL :args (_let_11)) :args _let_17)) _let_16 :args (_let_11 true _let_10)) :args (_let_5 true _let_9)))) (let ((_let_20 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W)) (tptp.acid W))))) (let ((_let_21 (forall ((W |tptp.'$ki_world'|) (BOUND_VARIABLE_826 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W)) (not (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| W BOUND_VARIABLE_826)) (not (tptp.acid BOUND_VARIABLE_826)))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (_let_20))) (let ((_let_24 (not _let_6))) (let ((_let_25 (or _let_7 _let_24))) (let ((_let_26 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W)) (not (tptp.acid W)))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_6 (not _let_8)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_7 _let_24 (not _let_25)))) _let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W) false))))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_24 false _let_5 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W) false))))) :args _let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_20)) _let_20))) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_17)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_10 (= BOUND_VARIABLE_724 BOUND_VARIABLE_826) (= W W)))) _let_16 :args (_let_22 true _let_10)) :args (_let_20 true _let_21)) :args (_let_8 false _let_20)) _let_19 :args (false true _let_6 false _let_8 false _let_5)) :args ((=> (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| W W0) (tptp.acid W0))))) (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(make_c)'| |tptp.'$ki_local_world'| W) (tptp.acid W)))) _let_4 (=> (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| W W0) (tptp.acid W0))))) (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(make_c)'| |tptp.'$ki_local_world'| W) (tptp.acid W)))) (=> (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| W W0) (not (tptp.acid W0)))))) (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(make_c)'| |tptp.'$ki_local_world'| W) (not (tptp.acid W))))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))
% 0.22/0.54  )
% 0.22/0.54  % SZS output end Proof for PUZ149_13
% 0.22/0.54  % cvc5---1.0.5 exiting
% 0.22/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------