TSTP Solution File: ROB011-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ROB011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 14:07:35 EDT 2023

% Result   : Unsatisfiable 0.44s 0.65s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ROB011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n009.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   : Mon Aug 28 06:56:50 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kNR6CNHeAy/cvc5---1.0.5_21678.p...
% 0.19/0.48  ------- get file name : TPTP file name is ROB011-1
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21678.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.44/0.65  % SZS status Unsatisfiable for ROB011-1
% 0.44/0.65  % SZS output start Proof for ROB011-1
% 0.44/0.66  (
% 0.44/0.66  (let ((_let_1 (tptp.add tptp.a tptp.c))) (let ((_let_2 (tptp.multiply tptp.one _let_1))) (let ((_let_3 (tptp.negate (tptp.add tptp.b _let_2)))) (let ((_let_4 (tptp.add tptp.a _let_3))) (let ((_let_5 (tptp.negate _let_4))) (let ((_let_6 (not (= _let_5 tptp.c)))) (let ((_let_7 (tptp.negate (tptp.add tptp.a (tptp.negate tptp.b))))) (let ((_let_8 (= _let_7 tptp.c))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.multiply tptp.one X) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.negate (tptp.add (tptp.negate (tptp.add X Y)) (tptp.negate (tptp.add X (tptp.negate Y))))) X)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.add X Y) Z) (tptp.add X (tptp.add Y Z)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_13 (= tptp.c _let_7))) (let ((_let_14 (= tptp.c _let_5))) (let ((_let_15 (= _let_4 (tptp.add _let_3 tptp.a)))) (let ((_let_16 (= _let_1 _let_2))) (let ((_let_17 (tptp.add tptp.b tptp.a))) (let ((_let_18 (tptp.add _let_17 tptp.c))) (let ((_let_19 (= _let_18 (tptp.add tptp.b _let_1)))) (let ((_let_20 (tptp.add tptp.a tptp.b))) (let ((_let_21 (= _let_17 _let_20))) (let ((_let_22 (tptp.add tptp.c _let_17))) (let ((_let_23 (= _let_18 _let_22))) (let ((_let_24 (tptp.negate _let_20))) (let ((_let_25 (tptp.add _let_24 _let_7))) (let ((_let_26 (= tptp.a (tptp.negate _let_25)))) (let ((_let_27 (= _let_25 (tptp.add _let_7 _let_24)))) (let ((_let_28 (= tptp.c (tptp.negate (tptp.add (tptp.negate _let_22) (tptp.negate (tptp.add tptp.c (tptp.negate _let_17)))))))) (let ((_let_29 (SYMM (ASSUME :args (_let_8))))) (let ((_let_30 (SYMM (ASSUME :args (_let_6))))) (let ((_let_31 (_let_12))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 ((tptp.add X Y)))) (let ((_let_34 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.one X))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_11))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.negate (tptp.add (tptp.negate (tptp.add X Y)) (tptp.negate (tptp.add X (tptp.negate Y))))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 (not _let_28))) (let ((_let_42 (not _let_27))) (let ((_let_43 (not _let_26))) (let ((_let_44 (not _let_23))) (let ((_let_45 (not _let_21))) (let ((_let_46 (not _let_19))) (let ((_let_47 (not _let_16))) (let ((_let_48 (not _let_15))) (let ((_let_49 (not _let_13))) (let ((_let_50 (_let_41))) (let ((_let_51 (not _let_14))) (let ((_let_52 (ASSUME :args (_let_28)))) (let ((_let_53 (APPLY_UF tptp.negate))) (let ((_let_54 (ASSUME :args (_let_15)))) (let ((_let_55 (APPLY_UF tptp.add))) (let ((_let_56 (ASSUME :args (_let_26)))) (let ((_let_57 (ASSUME :args (_let_27)))) (let ((_let_58 (ASSUME :args (_let_21)))) (let ((_let_59 (ASSUME :args (_let_16)))) (let ((_let_60 (ASSUME :args (_let_19)))) (let ((_let_61 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_30 _let_54 _let_59 _let_60 _let_61 _let_56 _let_57 _let_29 _let_58) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.c)) (CONG (TRANS (CONG (CONG (TRANS (SYMM _let_61) (SYMM (SYMM _let_60)) (CONG (REFL :args (tptp.b)) (SYMM (SYMM _let_59)) :args _let_55)) :args _let_53) (TRANS (CONG (TRANS (CONG (SYMM (SYMM _let_29)) (CONG (SYMM (SYMM _let_58)) :args _let_53) :args _let_55) (SYMM _let_57)) :args _let_53) (SYMM _let_56)) :args _let_55) (SYMM _let_54)) :args _let_53) :args (=)) (FALSE_INTRO _let_30))) :args (_let_51 _let_15 _let_16 _let_19 _let_23 _let_26 _let_27 _let_13 _let_21))) _let_52) :args (_let_13 _let_51 _let_15 _let_16 _let_19 _let_21 _let_23 _let_26 _let_27 _let_28)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_50))) (TRUE_INTRO _let_52))) :args (_let_41 _let_28)) :args ((not (and _let_13 _let_51 _let_15 _let_16 _let_19 _let_21 _let_23 _let_26 _let_27 _let_28)) SB_LITERAL))) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_14))) (REFL :args (_let_48)) (REFL :args (_let_47)) (REFL :args (_let_46)) (REFL :args (_let_45)) (REFL :args (_let_44)) (REFL :args (_let_43)) (REFL :args (_let_42)) (REFL :args _let_50) :args (or))) :args ((or _let_14 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.c _let_17 QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.negate (tptp.add X Y)) (tptp.negate (tptp.add X (tptp.negate Y))))))) :args _let_40)) _let_39 :args (_let_28 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_24 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_27 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.a tptp.b QUANTIFIERS_INST_ENUM)) :args _let_40)) _let_39 :args (_let_26 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_17 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_23 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_21 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.b tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.add X (tptp.add Y Z))))) :args _let_36)) _let_37 :args (_let_19 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply tptp.one X)))) :args (_let_34))) _let_35 :args (_let_16 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_15 false _let_12)) _let_30 _let_29 :args (false false _let_28 false _let_27 false _let_26 false _let_23 false _let_21 false _let_19 false _let_16 false _let_15 true _let_14 false _let_13)) :args (_let_12 _let_11 _let_10 _let_9 (forall ((X $$unsorted) (V $$unsorted)) (or (not (tptp.positive_integer X)) (= (tptp.multiply (tptp.successor V) X) (tptp.add X (tptp.multiply V X))))) (tptp.positive_integer tptp.one) (forall ((X $$unsorted)) (or (not (tptp.positive_integer X)) (tptp.positive_integer (tptp.successor X)))) _let_8 _let_6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.44/0.66  )
% 0.44/0.66  % SZS output end Proof for ROB011-1
% 0.44/0.66  % cvc5---1.0.5 exiting
% 0.44/0.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------