TSTP Solution File: NUM849+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 10:48:26 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
% 0.00/0.13 % Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n027.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 17:51:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.gCrxaQDpNM/cvc5---1.0.5_26262.p...
% 0.20/0.54 ------- get file name : TPTP file name is NUM849+2
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26262.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 NUM849+2
% 0.20/0.54 % SZS output start Proof for NUM849+2
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (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))))) (let ((_let_2 (forall ((Vd418 $$unsorted) (Vd419 $$unsorted)) (= (tptp.vmul Vd418 Vd419) (tptp.vmul Vd419 Vd418))))) (let ((_let_3 (tptp.vmul tptp.vd448 tptp.vd449))) (let ((_let_4 (forall ((Vd451 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd449 Vd451))) (let ((_let_2 (tptp.vmul tptp.vd448 tptp.vd449))) (let ((_let_3 (tptp.vmul tptp.vd448 _let_1))) (=> (= (tptp.vmul _let_2 Vd451) _let_3) (= (tptp.vplus _let_3 _let_2) (tptp.vmul tptp.vd448 (tptp.vplus _let_1 tptp.vd449)))))))))) (let ((_let_5 (forall ((Vd451 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd449 Vd451))) (=> (= (tptp.vmul (tptp.vmul tptp.vd448 tptp.vd449) Vd451) (tptp.vmul tptp.vd448 _let_1)) (= (tptp.vmul tptp.vd448 (tptp.vplus _let_1 tptp.vd449)) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 (tptp.vsucc Vd451))))))))) (let ((_let_6 (not (forall ((Vd454 $$unsorted)) (let ((_let_1 (tptp.vsucc Vd454))) (let ((_let_2 (tptp.vmul tptp.vd448 tptp.vd449))) (=> (= (tptp.vmul _let_2 Vd454) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 Vd454))) (= (tptp.vmul _let_2 _let_1) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 _let_1)))))))))) (let ((_let_7 (tptp.vmul tptp.vd449 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.vmul tptp.vd448 _let_7))) (let ((_let_9 (tptp.vmul _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (tptp.vsucc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 _let_11)))) (let ((_let_13 (tptp.vmul _let_3 _let_11))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (= _let_13 (tptp.vmul _let_11 _let_3)))) (let ((_let_16 (tptp.vplus _let_9 _let_3))) (let ((_let_17 (= _let_13 _let_16))) (let ((_let_18 (tptp.vmul tptp.vd448 (tptp.vplus _let_7 tptp.vd449)))) (let ((_let_19 (= _let_12 _let_18))) (let ((_let_20 (tptp.vplus _let_8 _let_3))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (not _let_10))) (let ((_let_23 (or _let_22 _let_14))) (let ((_let_24 (forall ((Vd454 $$unsorted)) (let ((_let_1 (tptp.vsucc Vd454))) (let ((_let_2 (tptp.vmul tptp.vd448 tptp.vd449))) (or (not (= (tptp.vmul _let_2 Vd454) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 Vd454)))) (= (tptp.vmul _let_2 _let_1) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 _let_1))))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (not _let_24))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_27)) _let_26 :args (_let_25 true _let_24)))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_10))) :args _let_27)) :args ((or _let_10 _let_23))) _let_29 :args (_let_10 true _let_23)))) (let ((_let_31 (not _let_14))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (forall ((BOUND_VARIABLE_737 $$unsorted) (BOUND_VARIABLE_739 $$unsorted)) (= (tptp.vmul BOUND_VARIABLE_737 (tptp.vsucc BOUND_VARIABLE_739)) (tptp.vplus (tptp.vmul BOUND_VARIABLE_737 BOUND_VARIABLE_739) BOUND_VARIABLE_737))))) (let ((_let_35 (_let_34))) (let ((_let_36 (or _let_22 _let_19))) (let ((_let_37 (forall ((Vd451 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd449 Vd451))) (or (not (= (tptp.vmul (tptp.vmul tptp.vd448 tptp.vd449) Vd451) (tptp.vmul tptp.vd448 _let_1))) (= (tptp.vmul tptp.vd448 (tptp.vplus _let_1 tptp.vd449)) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 (tptp.vsucc Vd451))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or _let_22 _let_21))) (let ((_let_40 (forall ((Vd451 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd449 Vd451))) (let ((_let_2 (tptp.vmul tptp.vd448 tptp.vd449))) (let ((_let_3 (tptp.vmul tptp.vd448 _let_1))) (or (not (= _let_3 (tptp.vmul _let_2 Vd451))) (= (tptp.vplus _let_3 _let_2) (tptp.vmul tptp.vd448 (tptp.vplus _let_1 tptp.vd449)))))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (= _let_20 _let_16))) (let ((_let_43 (ASSUME :args (_let_15)))) (let ((_let_44 (SYMM (SYMM _let_43)))) (let ((_let_45 (ASSUME :args (_let_17)))) (let ((_let_46 (ASSUME :args (_let_21)))) (let ((_let_47 (ASSUME :args (_let_19)))) (let ((_let_48 (ASSUME :args (_let_31)))) (let ((_let_49 (_let_10))) (let ((_let_50 (ASSUME :args _let_49))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_43 _let_45 (MODUS_PONENS _let_50 (SCOPE (CONG (SYMM _let_50) (REFL :args (_let_3)) :args (APPLY_UF tptp.vplus)) :args _let_49)) _let_46 _let_47 _let_48) :args (_let_10 _let_31 _let_19 _let_21 _let_17 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_48)) (TRUE_INTRO (TRANS _let_44 (SYMM (TRANS (SYMM (SYMM _let_47)) (SYMM (SYMM _let_46)) (SYMM (SYMM (ASSUME :args (_let_42)))) (SYMM _let_45) _let_44)))))) :args (_let_15 _let_17 _let_42 _let_21 _let_19 _let_31)) :args ((not (and _let_10 _let_31 _let_19 _let_21 _let_17 _let_15)) SB_LITERAL))) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_14))) (REFL :args ((not _let_19))) (REFL :args ((not _let_21))) (REFL :args ((not _let_17))) (REFL :args ((not _let_15))) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_22 _let_21 (not _let_39)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul tptp.vd449 Vd451)))) :args (_let_40)))) _let_41 :args (_let_39 false _let_40)) :args (_let_21 false _let_10 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_22 _let_19 (not _let_36)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul _let_3 Vd451)))) :args (_let_37)))) _let_38 :args (_let_36 false _let_37)) :args (_let_19 false _let_10 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (_let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.vmul BOUND_VARIABLE_737 (tptp.vsucc BOUND_VARIABLE_739))))) :args _let_35)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_17 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_3 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul Vd418 Vd419)))) :args _let_32)) _let_33 :args (_let_15 false _let_2)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 1)) _let_29 :args (_let_31 true _let_23)) _let_30 :args (false false _let_21 false _let_19 false _let_17 false _let_15 true _let_14 false _let_10)) :args (_let_6 _let_5 _let_4 (forall ((Vd451 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd448 tptp.vd449))) (let ((_let_2 (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 Vd451)))) (let ((_let_3 (tptp.vmul _let_1 Vd451))) (=> (= _let_3 _let_2) (= (tptp.vplus _let_3 _let_1) (tptp.vplus _let_2 _let_1))))))) (forall ((Vd451 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd448 tptp.vd449))) (let ((_let_2 (tptp.vmul _let_1 Vd451))) (=> (= _let_2 (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 Vd451))) (= (tptp.vmul _let_1 (tptp.vsucc Vd451)) (tptp.vplus _let_2 _let_1)))))) (= _let_3 (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 tptp.v1))) (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 $$unsorted)) (= (tptp.vmul (tptp.vsucc Vd408) Vd409) (tptp.vplus (tptp.vmul Vd408 Vd409) Vd409))) _let_1 (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (tptp.vplus Vd79 Vd78) (tptp.vplus Vd78 Vd79))) (forall ((Vd42 $$unsorted) (Vd43 $$unsorted)) (and (= (tptp.vplus Vd42 (tptp.vsucc Vd43)) (tptp.vsucc (tptp.vplus Vd42 Vd43))) (= (tptp.vplus Vd42 tptp.v1) (tptp.vsucc Vd42)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for NUM849+2
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------