%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri Aug 25 16:20:07 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GiTRYH3NZq/cvc5---1.0.5_16186.p...
% 0.20/0.53  ------- get file name : TPTP file name is NUM837+1
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16186.smt2...
% 0.20/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Theorem for NUM837+1
% 0.20/0.53  % SZS output start Proof for NUM837+1
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (forall ((Vd198 $$unsorted) (Vd199 $$unsorted)) (= (tptp.less Vd199 Vd198) (exists ((Vd201 $$unsorted)) (= Vd198 (tptp.vplus Vd199 Vd201))))))) (let ((_let_2 (tptp.less tptp.vd268 tptp.vd269))) (let ((_let_3 (not (exists ((Vd273 $$unsorted)) (= tptp.vd269 (tptp.vplus tptp.vd268 Vd273)))))) (let ((_let_4 (forall ((Vd201 $$unsorted)) (not (= tptp.vd269 (tptp.vplus tptp.vd268 Vd201)))))) (let ((_let_5 (not _let_4))) (let ((_let_6 (= _let_2 _let_5))) (let ((_let_7 (forall ((Vd273 $$unsorted)) (not (= tptp.vd269 (tptp.vplus tptp.vd268 Vd273)))))) (let ((_let_8 (forall ((Vd198 $$unsorted) (Vd199 $$unsorted)) (= (tptp.less Vd199 Vd198) (not (forall ((Vd201 $$unsorted)) (not (= Vd198 (tptp.vplus Vd199 Vd201))))))))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_6)) :args ((or (not _let_2) _let_5 (not _let_6)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (tptp.vd269 tptp.vd268 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.less Vd199 Vd198)))) :args (_let_8))) _let_9 :args (_let_6 false _let_8)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_7 (= Vd273 Vd201)))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) :args (_let_4 false _let_7)) (ASSUME :args (_let_2)) :args (false false _let_6 false _let_4 false _let_2)) :args (_let_3 (tptp.less tptp.vd269 tptp.vd271) _let_2 (forall ((Vd258 $$unsorted) (Vd259 $$unsorted)) (=> (tptp.leq Vd258 Vd259) (tptp.geq Vd259 Vd258))) (forall ((Vd254 $$unsorted) (Vd255 $$unsorted)) (=> (tptp.geq Vd254 Vd255) (tptp.leq Vd255 Vd254))) (forall ((Vd249 $$unsorted) (Vd250 $$unsorted)) (= (tptp.leq Vd250 Vd249) (or (tptp.less Vd250 Vd249) (= Vd250 Vd249)))) (forall ((Vd244 $$unsorted) (Vd245 $$unsorted)) (= (tptp.geq Vd245 Vd244) (or (tptp.greater Vd245 Vd244) (= Vd245 Vd244)))) (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (=> (tptp.less Vd226 Vd227) (tptp.greater Vd227 Vd226))) (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (=> (tptp.greater Vd208 Vd209) (tptp.less Vd209 Vd208))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (= Vd203 Vd204) (tptp.greater Vd203 Vd204) (tptp.less Vd203 Vd204))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (tptp.greater Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.greater Vd203 Vd204)))) _let_1 (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (exists ((Vd196 $$unsorted)) (= Vd194 (tptp.vplus Vd193 Vd196))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (= Vd120 Vd121) (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123))) (exists ((Vd125 $$unsorted)) (= Vd121 (tptp.vplus Vd120 Vd125))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (= Vd120 Vd121)) (not (exists ((Vd125 $$unsorted)) (= Vd121 (tptp.vplus Vd120 Vd125)))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123)))) (not (exists ((Vd125 $$unsorted)) (= Vd121 (tptp.vplus Vd120 Vd125)))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (= Vd120 Vd121)) (not (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123)))))) (forall ((Vd104 $$unsorted) (Vd105 $$unsorted)) (=> (not (= Vd104 Vd105)) (forall ((Vd107 $$unsorted)) (not (= (tptp.vplus Vd107 Vd104) (tptp.vplus Vd107 Vd105)))))) (forall ((Vd92 $$unsorted) (Vd93 $$unsorted)) (not (= Vd93 (tptp.vplus Vd92 Vd93)))) (forall ((Vd78 $$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 $$unsorted)) (not (= (tptp.vsucc Vd16) Vd16))) (forall ((Vd7 $$unsorted) (Vd8 $$unsorted)) (=> (not (= Vd7 Vd8)) (not (= (tptp.vsucc Vd7) (tptp.vsucc Vd8))))) (forall ((Vd3 $$unsorted) (Vd4 $$unsorted)) (=> (= (tptp.vsucc Vd3) (tptp.vsucc Vd4)) (= Vd3 Vd4))) (forall ((Vd1 $$unsorted)) (not (= (tptp.vsucc Vd1) tptp.v1))) true))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for NUM837+1
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------