TSTP Solution File: KRS145+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS145+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 05:41:36 EDT 2023

% Result   : Theorem 0.16s 0.45s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : KRS145+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11  % Command    : do_cvc5 %s %d
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Aug 28 01:53:45 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.42  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.45  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.n5TdSRZfoC/cvc5---1.0.5_22595.p...
% 0.16/0.45  ------- get file name : TPTP file name is KRS145+1
% 0.16/0.45  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22595.smt2...
% 0.16/0.45  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.45  % SZS status Theorem for KRS145+1
% 0.16/0.45  % SZS output start Proof for KRS145+1
% 0.16/0.45  (
% 0.16/0.45  (let ((_let_1 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_2 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_1 (forall ((X $$unsorted)) (=> (tptp.cc X) (and (exists ((Y0 $$unsorted) (Y1 $$unsorted)) (and (tptp.rp X Y0) (tptp.rp X Y1) (not (= Y0 Y1)))) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.rp X Y0) (tptp.rp X Y1) (tptp.rp X Y2)) (or (= Y0 Y1) (= Y0 Y2) (= Y1 Y2))))))))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.cc X) (and (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.rp X Y0) (tptp.rp X Y1) (tptp.rp X Y2)) (or (= Y0 Y1) (= Y0 Y2) (= Y1 Y2)))) (exists ((Y0 $$unsorted) (Y1 $$unsorted)) (and (tptp.rp X Y0) (tptp.rp X Y1) (not (= Y0 Y1))))))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_5 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_6 (forall ((X $$unsorted) (BOUND_VARIABLE_945 $$unsorted) (BOUND_VARIABLE_943 $$unsorted) (BOUND_VARIABLE_941 $$unsorted)) (or (not (tptp.cc X)) (and (not (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rp X Y0)) (not (tptp.rp X Y1)) (= Y0 Y1)))) (or (not (tptp.rp X BOUND_VARIABLE_941)) (not (tptp.rp X BOUND_VARIABLE_943)) (not (tptp.rp X BOUND_VARIABLE_945)) (= BOUND_VARIABLE_941 BOUND_VARIABLE_943) (= BOUND_VARIABLE_941 BOUND_VARIABLE_945) (= BOUND_VARIABLE_943 BOUND_VARIABLE_945))))))) (let ((_let_7 (forall ((BOUND_VARIABLE_908 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_908)))) (let ((_let_8 (forall ((BOUND_VARIABLE_913 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_913))))) (let ((_let_9 (forall ((X $$unsorted) (BOUND_VARIABLE_891 $$unsorted) (BOUND_VARIABLE_889 $$unsorted) (BOUND_VARIABLE_887 $$unsorted)) (or (not (tptp.cc X)) (and (or (not (tptp.rp X BOUND_VARIABLE_887)) (not (tptp.rp X BOUND_VARIABLE_889)) (not (tptp.rp X BOUND_VARIABLE_891)) (= BOUND_VARIABLE_887 BOUND_VARIABLE_889) (= BOUND_VARIABLE_887 BOUND_VARIABLE_891) (= BOUND_VARIABLE_889 BOUND_VARIABLE_891)) (not (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rp X Y0)) (not (tptp.rp X Y1)) (= Y0 Y1))))))))) (let ((_let_10 (forall ((BOUND_VARIABLE_853 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_853)))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (forall ((BOUND_VARIABLE_858 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_858))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_12 (= BOUND_VARIABLE_858 BOUND_VARIABLE_913)))) :args ((or _let_8 (not _let_12)))) (AND_ELIM _let_11 :args (1)) :args (_let_8 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_10 (= BOUND_VARIABLE_853 BOUND_VARIABLE_908)))) :args ((or _let_7 (not _let_10)))) (AND_ELIM _let_11 :args (0)) :args (_let_7 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_9 (= X X) (= Y0 Y0) (= Y1 Y1) (= BOUND_VARIABLE_887 BOUND_VARIABLE_941) (= BOUND_VARIABLE_889 BOUND_VARIABLE_943) (= BOUND_VARIABLE_891 BOUND_VARIABLE_945))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X $$unsorted) (BOUND_VARIABLE_945 $$unsorted) (BOUND_VARIABLE_943 $$unsorted) (BOUND_VARIABLE_941 $$unsorted)) (or (not (tptp.cc X)) (and (or (not (tptp.rp X BOUND_VARIABLE_941)) (not (tptp.rp X BOUND_VARIABLE_943)) (not (tptp.rp X BOUND_VARIABLE_945)) (= BOUND_VARIABLE_941 BOUND_VARIABLE_943) (= BOUND_VARIABLE_941 BOUND_VARIABLE_945) (= BOUND_VARIABLE_943 BOUND_VARIABLE_945)) (not (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rp X Y0)) (not (tptp.rp X Y1)) (= Y0 Y1))))))) _let_6) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) :args ((or _let_6 (not _let_9)))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) :args (_let_6 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_4 (= X X)))) :args ((or _let_1 (not _let_4)))) (ASSUME :args (_let_4)) :args (_let_1 false _let_4)) :args (false false _let_8 false _let_7 false _let_6 false _let_1)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cc A)) (tptp.cc B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlNothing A)) (tptp.cowlNothing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlThing A)) (tptp.cowlThing B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rp A C)) (tptp.rp B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rp C A)) (tptp.rp C B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_integer A)) (tptp.xsd_integer B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_string A)) (tptp.xsd_string B))) _let_5 _let_4 _let_3 _let_2 true)))))))))))))))
% 0.16/0.45  )
% 0.16/0.45  % SZS output end Proof for KRS145+1
% 0.16/0.45  % cvc5---1.0.5 exiting
% 0.16/0.46  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------