TSTP Solution File: NLP265_17 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NLP265_17 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 09:41:02 EDT 2023

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NLP265_17 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 13:08:26 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xQASgVwkhn/cvc5---1.0.5_5533.p...
% 0.20/0.52  ------- get file name : TPTP file name is NLP265_17
% 0.20/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5533.smt2...
% 0.20/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Theorem for NLP265_17
% 0.20/0.52  % SZS output start Proof for NLP265_17
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (not (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(i_alice)'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| W W0) (tptp.bigcity W0 tptp.portland)))))))) (let ((_let_2 (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| |tptp.'$ki_local_world'| W) (tptp.bigcity W tptp.portland))))) (let ((_let_3 (forall ((W |tptp.'$ki_world'|) (V |tptp.'$ki_world'|)) (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| W V)))) (let ((_let_4 (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (_let_3))) (let ((_let_6 (ASSUME :args _let_5))) (let ((_let_7 (tptp.bigcity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.portland))) (let ((_let_8 (not _let_4))) (let ((_let_9 (or _let_8 _let_7))) (let ((_let_10 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| |tptp.'$ki_local_world'| W)) (tptp.bigcity W tptp.portland))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(i_alice)'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_7))) (let ((_let_13 (forall ((W |tptp.'$ki_world'|) (BOUND_VARIABLE_864 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(i_alice)'| |tptp.'$ki_local_world'| W)) (not (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| W BOUND_VARIABLE_864)) (tptp.bigcity BOUND_VARIABLE_864 tptp.portland))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (not _let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_6 :args (|tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| W V) true))))) :args _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_7 _let_8 (not _let_9)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 2)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_15) :args (_let_16))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_13))) (REFL :args (_let_14)) :args (or))) _let_15 :args (_let_14 true _let_13)) :args ((not _let_7) true _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.bigcity W tptp.portland) true))))) :args (_let_10))) _let_11 :args (_let_9 false _let_10)) :args (_let_8 true _let_7 false _let_9)) _let_6 :args (false true _let_4 false _let_3)) :args (_let_3 (forall ((W |tptp.'$ki_world'|) (V |tptp.'$ki_world'|)) (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| W V)) (forall ((W |tptp.'$ki_world'|) (V |tptp.'$ki_world'|)) (|tptp.'$ki_accessible'| |tptp.'#idx(i_bob)'| W V)) (forall ((W |tptp.'$ki_world'|) (V |tptp.'$ki_world'|)) (|tptp.'$ki_accessible'| |tptp.'#idx(i_alice)'| W V)) (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| |tptp.'$ki_local_world'| W) (=> (and (tptp.bigcity W tptp.portland) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| W0 W1) (not (tptp.bigcity W1 tptp.portland))))))) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(i_alice)'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| W0 W1) (tptp.bigcity W1 tptp.portland)))))))) (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| |tptp.'$ki_local_world'| W) (=> (and (tptp.bigcity W tptp.portland) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| W0 W1) (not (tptp.bigcity W1 tptp.portland))))))) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(i_bob)'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| W0 W1) (tptp.bigcity W1 tptp.portland)))))))) _let_2 (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| W W0) (not (tptp.bigcity W0 tptp.portland)))))) _let_1 true)))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for NLP265_17
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------