TSTP Solution File: SYN050+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN050+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 : Fri Sep  1 02:01:04 EDT 2023

% Result   : Theorem 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    : SYN050+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n028.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 20:35:08 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CcLhvV3jN1/cvc5---1.0.5_31518.p...
% 0.19/0.52  ------- get file name : TPTP file name is SYN050+1
% 0.19/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31518.smt2...
% 0.19/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.52  % SZS status Theorem for SYN050+1
% 0.19/0.52  % SZS output start Proof for SYN050+1
% 0.19/0.52  (
% 0.19/0.52  (let ((_let_1 (not (=> (forall ((X $$unsorted) (Y $$unsorted)) (exists ((Z $$unsorted)) (forall ((W $$unsorted)) (=> (and (tptp.big_p X) (tptp.big_q Y)) (and (tptp.big_r Z) (tptp.big_s W)))))) (exists ((X1 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.big_p X1) (tptp.big_q Y1)) (exists ((Z1 $$unsorted)) (tptp.big_r Z1)))))))) (let ((_let_2 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_3 (forall ((Y $$unsorted)) (not (tptp.big_q Y))))) (let ((_let_4 (forall ((BOUND_VARIABLE_676 $$unsorted)) (tptp.big_q BOUND_VARIABLE_676)))) (let ((_let_5 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_6 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_5)))) (let ((_let_7 (_let_4))) (let ((_let_8 (forall ((X $$unsorted)) (not (tptp.big_p X))))) (let ((_let_9 (forall ((BOUND_VARIABLE_634 $$unsorted)) (not (tptp.big_r BOUND_VARIABLE_634))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (and (forall ((BOUND_VARIABLE_617 $$unsorted)) (tptp.big_s BOUND_VARIABLE_617)) _let_10))) (let ((_let_12 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (forall ((BOUND_VARIABLE_667 $$unsorted)) (tptp.big_p BOUND_VARIABLE_667)))) (let ((_let_14 (_let_13))) (let ((_let_15 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_16 (_let_8))) (let ((_let_17 (not _let_11))) (let ((_let_18 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_18) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_q Y) false))))) :args _let_18)) (MACRO_RESOLUTION_TRUST (NOT_IMPLIES_ELIM1 _let_5) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_10 _let_17))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_9 (= BOUND_VARIABLE_634 Z1)))) (AND_ELIM _let_6 :args (2)) :args (_let_9 false (forall ((Z1 $$unsorted)) (not (tptp.big_r Z1))))) :args (_let_17 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_16) :args _let_15) :args _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_14) :args _let_15) :args _let_14)) (AND_ELIM _let_6 :args (0)) :args (_let_12 false _let_13)) :args ((not _let_8) false _let_12)) :args (_let_3 true _let_11 true _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_7) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_7)) (AND_ELIM _let_6 :args (1)) :args (_let_2 false _let_4)) :args (false false _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))))))
% 0.19/0.52  )
% 0.19/0.52  % SZS output end Proof for SYN050+1
% 0.19/0.52  % cvc5---1.0.5 exiting
% 0.19/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------