TSTP Solution File: KRS169+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 05:41:42 EDT 2023

% Result   : Theorem 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n016.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   : Mon Aug 28 02:17:16 EDT 2023
% 0.14/0.37  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TR9NtgnpFo/cvc5---1.0.5_6990.p...
% 0.21/0.53  ------- get file name : TPTP file name is KRS169+1
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6990.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Theorem for KRS169+1
% 0.21/0.53  % SZS output start Proof for KRS169+1
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (tptp.cowlThing tptp.iY))) (let ((_let_2 (tptp.rhasHead tptp.iX tptp.iY))) (let ((_let_3 (tptp.cowlThing tptp.iX))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_5 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_4 _let_3 _let_2 _let_1)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rhasLeader X Y) (tptp.rhasHead X Y))))) (let ((_let_7 (tptp.rhasLeader tptp.iX tptp.iY))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_9 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_10 (= _let_7 _let_2))) (let ((_let_11 (_let_6))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (not _let_10))) (let ((_let_14 (forall ((BOUND_VARIABLE_642 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_642))))) (let ((_let_15 (forall ((BOUND_VARIABLE_637 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_637)))) (let ((_let_16 (not _let_2))) (let ((_let_17 (forall ((BOUND_VARIABLE_629 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_629))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (forall ((BOUND_VARIABLE_624 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_624)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.iX tptp.iY QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rhasLeader X Y)))) :args _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or _let_2 (not _let_7) _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)))) :args ((or (not _let_3) (not _let_1) (not _let_4) _let_16 (not _let_15) (not _let_14)))) (ASSUME :args (_let_3)) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_8 (= X X)))) :args ((or _let_4 (not _let_8)))) (ASSUME :args (_let_8)) :args (_let_4 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_19 (= BOUND_VARIABLE_624 BOUND_VARIABLE_637)))) :args ((or _let_15 (not _let_19)))) (AND_ELIM _let_18 :args (0)) :args (_let_15 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_17 (= BOUND_VARIABLE_629 BOUND_VARIABLE_642)))) :args ((or _let_14 (not _let_17)))) (AND_ELIM _let_18 :args (1)) :args (_let_14 false _let_17)) :args (_let_16 false _let_3 false _let_1 false _let_4 false _let_15 false _let_14)) (ASSUME :args (_let_7)) :args (_let_13 true _let_2 false _let_7)) _let_12 :args (false true _let_10 false _let_6)) :args (_let_9 _let_8 _let_3 _let_7 _let_1 _let_6 _let_5 true))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for KRS169+1
% 0.21/0.53  % cvc5---1.0.5 exiting
% 0.21/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------