%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM835+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 10:48:21 EDT 2023

% Result   : Theorem 10.20s 10.64s
% Output   : Proof 10.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM835+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n025.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
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Aug 25 12:07:22 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.20/10.64  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.pAIciCrFJm/cvc5---1.0.5_22837.p...
% 10.20/10.64  ------- get file name : TPTP file name is NUM835+2
% 10.20/10.64  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22837.smt2...
% 10.20/10.64  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.20/10.64  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.20/10.64  % SZS status Theorem for NUM835+2
% 10.20/10.64  % SZS output start Proof for NUM835+2
% 10.20/10.64  (
% 10.20/10.64  (let ((_let_1 (forall ((Vd151 $$unsorted) (Vd152 $$unsorted)) (= (tptp.m Vd152) (or (= Vd151 Vd152) (exists ((Vd155 $$unsorted)) (= Vd151 (tptp.vplus Vd152 Vd155))) (exists ((Vd157 $$unsorted)) (= Vd152 (tptp.vplus Vd151 Vd157)))))))) (let ((_let_2 (tptp.vplus tptp.vd165 tptp.v1))) (let ((_let_3 (tptp.vsucc tptp.vd165))) (let ((_let_4 (= tptp.vd151 tptp.vd165))) (let ((_let_5 (not (or (exists ((Vd180 $$unsorted)) (= tptp.vd165 (tptp.vplus tptp.vd151 Vd180))) (exists ((Vd170 $$unsorted)) (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170))) _let_4)))) (let ((_let_6 (forall ((Vd151 $$unsorted) (Vd152 $$unsorted)) (= (tptp.m Vd152) (or (= Vd151 Vd152) (not (forall ((Vd155 $$unsorted)) (not (= Vd151 (tptp.vplus Vd152 Vd155))))) (not (forall ((Vd157 $$unsorted)) (not (= Vd152 (tptp.vplus Vd151 Vd157)))))))))) (let ((_let_7 (tptp.m tptp.vd151))) (let ((_let_8 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_9 (forall ((Vd157 $$unsorted)) (not (= tptp.vd151 (tptp.vplus tptp.vd165 Vd157)))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (forall ((Vd155 $$unsorted)) (not (= tptp.vd165 (tptp.vplus tptp.vd151 Vd155)))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_4 _let_12 _let_10))) (let ((_let_14 (= _let_7 _let_13))) (let ((_let_15 (not _let_7))) (let ((_let_16 (_let_6))) (let ((_let_17 (not _let_13))) (let ((_let_18 (forall ((Vd170 $$unsorted)) (not (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (forall ((Vd180 $$unsorted)) (not (= tptp.vd165 (tptp.vplus tptp.vd151 Vd180)))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_8 :args (tptp.vd151 tptp.vd151 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_14)) :args ((or _let_13 _let_15 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_4 _let_12 _let_10 _let_17))) (NOT_OR_ELIM _let_19 :args (2)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_20 (= Vd180 Vd155)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_19 :args (0))) :args (_let_11 false _let_20)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_18 (= Vd170 Vd157)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_19 :args (1))) :args (_let_9 false _let_18)) :args (_let_17 true _let_4 false _let_11 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_8 :args (tptp.vd165 tptp.vd151 QUANTIFIERS_INST_ENUM)) :args _let_16))) _let_8 :args (_let_14 false _let_6)) :args (_let_15 true _let_13 false _let_14)) _let_8 :args (false true _let_7 false _let_6)) :args (_let_5 (forall ((Vd180 $$unsorted)) (=> (= tptp.vd165 (tptp.vplus tptp.vd151 Vd180)) (tptp.m (tptp.vsucc tptp.vd165)))) (forall ((Vd180 $$unsorted)) (let ((_let_1 (tptp.vplus tptp.vd151 Vd180))) (=> (= tptp.vd165 _let_1) (= (tptp.vsucc _let_1) (tptp.vplus tptp.vd151 (tptp.vsucc Vd180)))))) (forall ((Vd180 $$unsorted)) (let ((_let_1 (tptp.vplus tptp.vd151 Vd180))) (=> (= tptp.vd165 _let_1) (= (tptp.vsucc tptp.vd165) (tptp.vsucc _let_1))))) (forall ((Vd170 $$unsorted)) (=> (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)) (=> (not (= Vd170 tptp.v1)) (tptp.m (tptp.vsucc tptp.vd165))))) (forall ((Vd170 $$unsorted)) (=> (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)) (=> (not (= Vd170 tptp.v1)) (= (tptp.vplus (tptp.vplus tptp.vd165 tptp.v1) tptp.vskolem3) (tptp.vplus (tptp.vsucc tptp.vd165) tptp.vskolem3))))) (forall ((Vd170 $$unsorted)) (=> (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)) (=> (not (= Vd170 tptp.v1)) (= (tptp.vplus tptp.vd165 (tptp.vplus tptp.v1 tptp.vskolem3)) (tptp.vplus (tptp.vplus tptp.vd165 tptp.v1) tptp.vskolem3))))) (forall ((Vd170 $$unsorted)) (=> (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)) (=> (not (= Vd170 tptp.v1)) (= tptp.vd151 (tptp.vplus tptp.vd165 (tptp.vplus tptp.v1 tptp.vskolem3)))))) (forall ((Vd170 $$unsorted)) (=> (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)) (=> (not (= Vd170 tptp.v1)) (= (tptp.vsucc tptp.vskolem3) (tptp.vplus tptp.v1 tptp.vskolem3))))) (forall ((Vd170 $$unsorted)) (=> (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)) (=> (not (= Vd170 tptp.v1)) (= Vd170 (tptp.vsucc tptp.vskolem3))))) (forall ((Vd170 $$unsorted)) (=> (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)) (=> (= Vd170 tptp.v1) (tptp.m (tptp.vsucc tptp.vd165))))) (forall ((Vd170 $$unsorted)) (=> (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)) (=> (= Vd170 tptp.v1) (= (tptp.vplus tptp.vd165 tptp.v1) (tptp.vsucc tptp.vd165))))) (forall ((Vd170 $$unsorted)) (=> (= tptp.vd151 (tptp.vplus tptp.vd165 Vd170)) (=> (= Vd170 tptp.v1) (= tptp.vd151 (tptp.vplus tptp.vd165 tptp.v1))))) (=> _let_4 (tptp.m _let_3)) (=> _let_4 (= _let_2 (tptp.vplus tptp.vd151 tptp.v1))) (=> _let_4 (= _let_3 _let_2)) _let_1 (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (tptp.vplus Vd79 Vd78) (tptp.vplus Vd78 Vd79))) (forall ((Vd68 $$unsorted) (Vd69 $$unsorted)) (= (tptp.vplus (tptp.vsucc Vd68) Vd69) (tptp.vsucc (tptp.vplus Vd68 Vd69)))) (forall ((Vd59 $$unsorted)) (= (tptp.vplus tptp.v1 Vd59) (tptp.vsucc Vd59))) (forall ((Vd46 $$unsorted) (Vd47 $$unsorted) (Vd48 $$unsorted)) (= (tptp.vplus (tptp.vplus Vd46 Vd47) Vd48) (tptp.vplus Vd46 (tptp.vplus Vd47 Vd48)))) (forall ((Vd42 $$unsorted) (Vd43 $$unsorted)) (and (= (tptp.vplus Vd42 (tptp.vsucc Vd43)) (tptp.vsucc (tptp.vplus Vd42 Vd43))) (= (tptp.vplus Vd42 tptp.v1) (tptp.vsucc Vd42)))) (forall ((Vd24 $$unsorted)) (=> (not (= Vd24 tptp.v1)) (= Vd24 (tptp.vsucc (tptp.vskolem2 Vd24))))) (forall ((Vd16 $$unsorted)) (not (= (tptp.vsucc Vd16) Vd16))) true)))))))))))))))))))))))
% 10.20/10.64  )
% 10.20/10.64  % SZS output end Proof for NUM835+2
% 10.20/10.64  % cvc5---1.0.5 exiting
% 10.20/10.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------