%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM852+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 10:48:28 EDT 2023

% Result   : Theorem 0.20s 0.54s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM852+2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Aug 25 10:25:53 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Axsesez5ka/cvc5---1.0.5_16637.p...
% 0.20/0.54  ------- get file name : TPTP file name is NUM852+2
% 0.20/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16637.smt2...
% 0.20/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54  % SZS status Theorem for NUM852+2
% 0.20/0.54  % SZS output start Proof for NUM852+2
% 0.20/0.54  (
% 0.20/0.54  (let ((_let_1 (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (exists ((Vd196 $$unsorted)) (= Vd194 (tptp.vplus Vd193 Vd196))))))) (let ((_let_2 (forall ((Vd418 $$unsorted) (Vd419 $$unsorted)) (= (tptp.vmul Vd418 Vd419) (tptp.vmul Vd419 Vd418))))) (let ((_let_3 (forall ((Vd470 $$unsorted) (Vd471 $$unsorted)) (=> (tptp.greater Vd470 Vd471) (= (tptp.vmul Vd470 tptp.vd469) (tptp.vmul (tptp.vplus Vd471 (tptp.vskolem9 Vd470 Vd471)) tptp.vd469)))))) (let ((_let_4 (forall ((Vd470 $$unsorted) (Vd471 $$unsorted)) (let ((_let_1 (tptp.vskolem9 Vd470 Vd471))) (=> (tptp.greater Vd470 Vd471) (= (tptp.vmul (tptp.vplus Vd471 _let_1) tptp.vd469) (tptp.vplus (tptp.vmul Vd471 tptp.vd469) (tptp.vmul _let_1 tptp.vd469)))))))) (let ((_let_5 (tptp.greater tptp.vd481 tptp.vd480))) (let ((_let_6 (tptp.vmul tptp.vd480 tptp.vd469))) (let ((_let_7 (tptp.vmul tptp.vd481 tptp.vd469))) (let ((_let_8 (tptp.greater _let_7 _let_6))) (let ((_let_9 (not _let_8))) (let ((_let_10 (= _let_7 (tptp.vmul tptp.vd469 tptp.vd481)))) (let ((_let_11 (tptp.vskolem9 tptp.vd481 tptp.vd480))) (let ((_let_12 (tptp.vmul _let_11 tptp.vd469))) (let ((_let_13 (tptp.vplus _let_6 _let_12))) (let ((_let_14 (tptp.vmul (tptp.vplus tptp.vd480 _let_11) tptp.vd469))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (= _let_7 _let_14))) (let ((_let_17 (= _let_7 _let_13))) (let ((_let_18 (_let_2))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (not _let_5))) (let ((_let_21 (or _let_20 _let_15))) (let ((_let_22 (forall ((Vd470 $$unsorted) (Vd471 $$unsorted)) (let ((_let_1 (tptp.vskolem9 Vd470 Vd471))) (or (not (tptp.greater Vd470 Vd471)) (= (tptp.vmul (tptp.vplus Vd471 _let_1) tptp.vd469) (tptp.vplus (tptp.vmul Vd471 tptp.vd469) (tptp.vmul _let_1 tptp.vd469)))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (ASSUME :args (_let_5)))) (let ((_let_25 (or _let_20 _let_16))) (let ((_let_26 (forall ((Vd470 $$unsorted) (Vd471 $$unsorted)) (or (not (tptp.greater Vd470 Vd471)) (= (tptp.vmul Vd470 tptp.vd469) (tptp.vmul (tptp.vplus Vd471 (tptp.vskolem9 Vd470 Vd471)) tptp.vd469)))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (forall ((Vd196 $$unsorted)) (not (= (tptp.vmul tptp.vd481 tptp.vd469) (tptp.vplus (tptp.vmul tptp.vd480 tptp.vd469) Vd196)))))) (let ((_let_29 (not _let_17))) (let ((_let_30 (not _let_28))) (let ((_let_31 (= _let_8 _let_30))) (let ((_let_32 (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (not (forall ((Vd196 $$unsorted)) (not (= Vd194 (tptp.vplus Vd193 Vd196))))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (not _let_31))) (let ((_let_35 (or))) (let ((_let_36 (_let_28))) (let ((_let_37 (ASSUME :args (_let_29)))) (let ((_let_38 (ASSUME :args (_let_15)))) (let ((_let_39 (ASSUME :args (_let_16)))) (let ((_let_40 (ASSUME :args (_let_10)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_37 _let_38 _let_39 _let_40) :args (_let_15 _let_16 _let_10 _let_29)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS _let_40 (TRANS (SYMM _let_40) (SYMM (SYMM _let_39)) (SYMM (SYMM _let_38)))))) (FALSE_INTRO _let_37))) :args (_let_29 _let_15 _let_16 _let_10)) :args ((not (and _let_15 _let_16 _let_10 _let_29)) SB_LITERAL))) (CONG (REFL :args ((not _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_10))) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_17))) :args _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vplus _let_6 Vd196)))) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_31)) (CONG (REFL :args (_let_34)) (REFL :args (_let_8)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) :args _let_35)) :args ((or _let_8 _let_28 _let_34))) (ASSUME :args (_let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_6 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greater Vd194 Vd193)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_28 true _let_8 false _let_31)) :args (_let_29 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_20 _let_16 (not _let_25)))) _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.vd481 tptp.vd480 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd470 Vd471) false))))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_16 false _let_5 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_15 (not _let_21)))) _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.vd481 tptp.vd480 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd470 Vd471) false))))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_15 false _let_5 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.vd481 tptp.vd469 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul Vd418 Vd419)))) :args _let_18)) _let_19 :args (_let_10 false _let_2)) :args (false true _let_17 false _let_16 false _let_15 false _let_10)) :args (_let_9 _let_5 (tptp.less tptp.vd480 tptp.vd481) (forall ((Vd476 $$unsorted) (Vd477 $$unsorted)) (=> (= Vd476 Vd477) (= (tptp.vmul Vd476 tptp.vd469) (tptp.vmul Vd477 tptp.vd469)))) (forall ((Vd470 $$unsorted) (Vd471 $$unsorted)) (let ((_let_1 (tptp.vmul Vd471 tptp.vd469))) (=> (tptp.greater Vd470 Vd471) (tptp.greater (tptp.vplus _let_1 (tptp.vmul (tptp.vskolem9 Vd470 Vd471) tptp.vd469)) _let_1)))) _let_4 _let_3 (forall ((Vd470 $$unsorted) (Vd471 $$unsorted)) (=> (tptp.greater Vd470 Vd471) (= Vd470 (tptp.vplus Vd471 (tptp.vskolem9 Vd470 Vd471))))) (forall ((Vd444 $$unsorted) (Vd445 $$unsorted) (Vd446 $$unsorted)) (= (tptp.vmul (tptp.vmul Vd444 Vd445) Vd446) (tptp.vmul Vd444 (tptp.vmul Vd445 Vd446)))) (forall ((Vd432 $$unsorted) (Vd433 $$unsorted) (Vd434 $$unsorted)) (= (tptp.vmul Vd432 (tptp.vplus Vd433 Vd434)) (tptp.vplus (tptp.vmul Vd432 Vd433) (tptp.vmul Vd432 Vd434)))) _let_2 (forall ((Vd408 $$unsorted) (Vd409 $$unsorted)) (= (tptp.vmul (tptp.vsucc Vd408) Vd409) (tptp.vplus (tptp.vmul Vd408 Vd409) Vd409))) (forall ((Vd226 $$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 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.greater Vd203 Vd204)))) (forall ((Vd198 $$unsorted) (Vd199 $$unsorted)) (= (tptp.less Vd199 Vd198) (exists ((Vd201 $$unsorted)) (= Vd198 (tptp.vplus Vd199 Vd201))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54  )
% 0.20/0.54  % SZS output end Proof for NUM852+2
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------