TSTP Solution File: SYN356+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN356+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 02:02:42 EDT 2023

% Result   : Theorem 0.21s 0.56s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN356+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 20:29:10 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.53  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BxqtIMS55R/cvc5---1.0.5_17411.p...
% 0.21/0.56  ------- get file name : TPTP file name is SYN356+1
% 0.21/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17411.smt2...
% 0.21/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56  % SZS status Theorem for SYN356+1
% 0.21/0.56  % SZS output start Proof for SYN356+1
% 0.21/0.56  (
% 0.21/0.56  (let ((_let_1 (tptp.big_q tptp.b tptp.b))) (let ((_let_2 (tptp.big_q tptp.a tptp.a))) (let ((_let_3 (tptp.big_r tptp.a tptp.b))) (let ((_let_4 (not (=> (and _let_3 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.big_r X Y) (and (tptp.big_r Y X) (tptp.big_q X Y)))) (forall ((U $$unsorted) (V $$unsorted)) (=> (tptp.big_q U V) (tptp.big_q U U)))) (and _let_2 _let_1))))) (let ((_let_5 (tptp.big_q tptp.a tptp.b))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_2))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.big_q U V)) (tptp.big_q U U))))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (NOT_IMPLIES_ELIM1 _let_9))) (let ((_let_11 (AND_ELIM _let_10 :args (2)))) (let ((_let_12 (_let_8))) (let ((_let_13 ((not (= (tptp.big_q U V) false))))) (let ((_let_14 (ASSUME :args _let_12))) (let ((_let_15 (tptp.big_r tptp.b tptp.a))) (let ((_let_16 (and _let_15 _let_5))) (let ((_let_17 (not _let_3))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_r X Y)) (and (tptp.big_r Y X) (tptp.big_q X Y)))))) (let ((_let_20 (AND_ELIM _let_10 :args (1)))) (let ((_let_21 (_let_19))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_16 (not _let_18)))) (AND_ELIM _let_10 :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_r X Y) false))))) :args _let_21)) _let_20 :args (_let_18 false _let_19)) :args (_let_16 false _let_3 false _let_18)))) (let ((_let_24 (not _let_16))) (let ((_let_25 (tptp.big_q tptp.b tptp.a))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_1))) (let ((_let_28 (and _let_3 _let_25))) (let ((_let_29 (not _let_15))) (let ((_let_30 (or _let_29 _let_28))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (NOT_IMPLIES_ELIM2 _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_1 _let_26 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_25 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_15 _let_24))) _let_23 :args (_let_15 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.big_r Y X)))) :args _let_21)) _let_20 :args (_let_30 false _let_19)) :args (_let_28 false _let_15 false _let_30)) :args (_let_25 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_13)) :args _let_12)) _let_11 :args (_let_27 false _let_8)) :args (_let_1 false _let_25 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_2 _let_6 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_5 _let_24))) _let_23 :args (_let_5 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_13)) :args _let_12)) _let_11 :args (_let_7 false _let_8)) :args (_let_2 false _let_5 false _let_7)) :args (false false _let_1 false _let_2)) :args (_let_4 true)))))))))))))))))))))))))))))))))
% 0.21/0.56  )
% 0.21/0.56  % SZS output end Proof for SYN356+1
% 0.21/0.56  % cvc5---1.0.5 exiting
% 0.21/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------