TSTP Solution File: NUM851+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 10:48:27 EDT 2023
% Result : Theorem 0.19s 0.54s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n012.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 17:06:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.sm3ORnFt8M/cvc5---1.0.5_29869.p...
% 0.19/0.54 ------- get file name : TPTP file name is NUM851+1
% 0.19/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29869.smt2...
% 0.19/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.54 % SZS status Theorem for NUM851+1
% 0.19/0.54 % SZS output start Proof for NUM851+1
% 0.19/0.54 (
% 0.19/0.54 (let ((_let_1 (forall ((Vd418 $$unsorted) (Vd419 $$unsorted)) (= (tptp.vmul Vd418 Vd419) (tptp.vmul Vd419 Vd418))))) (let ((_let_2 (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 ((_let_3 (tptp.vplus tptp.vd471 tptp.vd473))) (let ((_let_4 (tptp.vmul _let_3 tptp.vd469))) (let ((_let_5 (tptp.vmul tptp.vd473 tptp.vd469))) (let ((_let_6 (tptp.vmul tptp.vd471 tptp.vd469))) (let ((_let_7 (= _let_4 (tptp.vplus _let_6 _let_5)))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.vmul tptp.vd469 tptp.vd473))) (let ((_let_10 (tptp.vmul tptp.vd469 tptp.vd471))) (let ((_let_11 (tptp.vmul tptp.vd469 _let_3))) (let ((_let_12 (= _let_11 (tptp.vplus _let_10 _let_9)))) (let ((_let_13 (_let_2))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (= _let_4 _let_11))) (let ((_let_16 (= _let_5 _let_9))) (let ((_let_17 (= _let_6 _let_10))) (let ((_let_18 (not _let_12))) (let ((_let_19 (_let_1))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 ((tptp.vmul Vd418 Vd419)))) (let ((_let_22 (ASSUME :args (_let_8)))) (let ((_let_23 (and _let_8 _let_17 _let_16 _let_15))) (let ((_let_24 (ASSUME :args (_let_16)))) (let ((_let_25 (ASSUME :args (_let_17)))) (let ((_let_26 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.vd469 tptp.vd471 tptp.vd473 QUANTIFIERS_INST_E_MATCHING ((tptp.vmul Vd432 (tptp.vplus Vd433 Vd434))))) :args _let_13)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_23)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_26 _let_22 _let_25 _let_24) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_26) (CONG (SYMM _let_25) (SYMM _let_24) :args (APPLY_UF tptp.vplus)) :args (=)) (FALSE_INTRO _let_22))) :args (_let_15 _let_8 _let_17 _let_16))) :args (_let_8 _let_17 _let_16 _let_15))) :args (true _let_23)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (REFL :args ((not _let_17))) (REFL :args ((not _let_16))) (REFL :args ((not _let_15))) (REFL :args (_let_18)) :args (or))) _let_22 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.vd471 tptp.vd469 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19)) _let_20 :args (_let_17 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.vd473 tptp.vd469 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19)) _let_20 :args (_let_16 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_3 tptp.vd469 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19)) _let_20 :args (_let_15 false _let_1)) :args (_let_18 true _let_7 false _let_17 false _let_16 false _let_15)) _let_14 :args (false true _let_12 false _let_2)) :args (_let_8 (= (tptp.vmul tptp.vd470 tptp.vd469) _let_4) (= tptp.vd470 _let_3) (tptp.greater tptp.vd470 tptp.vd471) (forall ((Vd444 $$unsorted) (Vd445 $$unsorted) (Vd446 $$unsorted)) (= (tptp.vmul (tptp.vmul Vd444 Vd445) Vd446) (tptp.vmul Vd444 (tptp.vmul Vd445 Vd446)))) _let_2 _let_1 (forall ((Vd408 $$unsorted) (Vd409 $$unsorted)) (= (tptp.vmul (tptp.vsucc Vd408) Vd409) (tptp.vplus (tptp.vmul Vd408 Vd409) Vd409))) (forall ((Vd400 $$unsorted)) (= (tptp.vmul tptp.v1 Vd400) Vd400)) (forall ((Vd396 $$unsorted) (Vd397 $$unsorted)) (and (= (tptp.vmul Vd396 (tptp.vsucc Vd397)) (tptp.vplus (tptp.vmul Vd396 Vd397) Vd396)) (= (tptp.vmul Vd396 tptp.v1) Vd396))) (forall ((Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (tptp.less Vd386 (tptp.vplus Vd387 tptp.v1)) (tptp.leq Vd386 Vd387))) (forall ((Vd375 $$unsorted) (Vd376 $$unsorted)) (=> (tptp.greater Vd375 Vd376) (tptp.geq Vd375 (tptp.vplus Vd376 tptp.v1)))) (forall ((Vd369 $$unsorted)) (tptp.geq Vd369 tptp.v1)) (forall ((Vd362 $$unsorted) (Vd363 $$unsorted) (Vd365 $$unsorted) (Vd366 $$unsorted)) (=> (and (tptp.geq Vd365 Vd366) (tptp.geq Vd362 Vd363)) (tptp.geq (tptp.vplus Vd362 Vd365) (tptp.vplus Vd363 Vd366)))) (forall ((Vd353 $$unsorted) (Vd354 $$unsorted) (Vd355 $$unsorted) (Vd356 $$unsorted)) (=> (or (and (tptp.greater Vd355 Vd356) (tptp.geq Vd353 Vd354)) (and (tptp.geq Vd355 Vd356) (tptp.greater Vd353 Vd354))) (tptp.greater (tptp.vplus Vd353 Vd355) (tptp.vplus Vd354 Vd356)))) (forall ((Vd337 $$unsorted) (Vd338 $$unsorted) (Vd340 $$unsorted) (Vd341 $$unsorted)) (=> (and (tptp.greater Vd340 Vd341) (tptp.greater Vd337 Vd338)) (tptp.greater (tptp.vplus Vd337 Vd340) (tptp.vplus Vd338 Vd341)))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (tptp.less (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) (tptp.less Vd328 Vd329))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (= (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) (= Vd328 Vd329))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (tptp.greater (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) (tptp.greater Vd328 Vd329))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (tptp.less Vd301 Vd302) (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (= Vd301 Vd302) (= (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (tptp.greater Vd301 Vd302) (tptp.greater (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))) (forall ((Vd295 $$unsorted) (Vd296 $$unsorted)) (tptp.greater (tptp.vplus Vd295 Vd296) Vd295)) (forall ((Vd289 $$unsorted) (Vd290 $$unsorted) (Vd292 $$unsorted)) (=> (and (tptp.leq Vd290 Vd292) (tptp.leq Vd289 Vd290)) (tptp.leq Vd289 Vd292))) (forall ((Vd281 $$unsorted) (Vd282 $$unsorted) (Vd283 $$unsorted)) (=> (or (and (tptp.less Vd282 Vd283) (tptp.leq Vd281 Vd282)) (and (tptp.leq Vd282 Vd283) (tptp.less Vd281 Vd282))) (tptp.less Vd281 Vd283))) (forall ((Vd262 $$unsorted) (Vd263 $$unsorted) (Vd265 $$unsorted)) (=> (and (tptp.less Vd263 Vd265) (tptp.less Vd262 Vd263)) (tptp.less Vd262 Vd265))) (forall ((Vd258 $$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 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.greater Vd203 Vd204)))) (forall ((Vd198 $$unsorted) (Vd199 $$unsorted)) (= (tptp.less Vd199 Vd198) (exists ((Vd201 $$unsorted)) (= Vd198 (tptp.vplus Vd199 Vd201))))) (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)))))))))))))))))))))))))))))
% 0.19/0.54 )
% 0.19/0.54 % SZS output end Proof for NUM851+1
% 0.19/0.54 % cvc5---1.0.5 exiting
% 0.19/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------