TSTP Solution File: ROB015-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ROB015-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 14:07:36 EDT 2023

% Result   : Unsatisfiable 26.19s 26.37s
% Output   : Proof 26.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ROB015-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n004.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   : Mon Aug 28 06:53:37 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8XnVNL8jSF/cvc5---1.0.5_29020.p...
% 0.20/0.50  ------- get file name : TPTP file name is ROB015-2
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29020.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.52/10.73  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.55/15.76  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.57/20.80  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.65/25.83  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.19/26.37  % SZS status Unsatisfiable for ROB015-2
% 26.19/26.37  % SZS output start Proof for ROB015-2
% 26.19/26.37  (
% 26.19/26.37  (let ((_let_1 (tptp.negate tptp.e))) (let ((_let_2 (tptp.add tptp.d _let_1))) (let ((_let_3 (tptp.negate _let_2))) (let ((_let_4 (tptp.add tptp.d _let_3))) (let ((_let_5 (tptp.successor tptp.k))) (let ((_let_6 (tptp.negate (tptp.add tptp.e (tptp.multiply _let_5 _let_4))))) (let ((_let_7 (not (= _let_6 _let_1)))) (let ((_let_8 (tptp.positive_integer tptp.k))) (let ((_let_9 (tptp.add _let_1 _let_3))) (let ((_let_10 (tptp.negate _let_9))) (let ((_let_11 (= _let_10 tptp.d))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (Vk $$unsorted)) (or (not (= (tptp.negate (tptp.add X (tptp.negate Y))) Z)) (not (tptp.positive_integer Vk)) (= (tptp.negate (tptp.add X (tptp.negate (tptp.add Y (tptp.multiply Vk (tptp.add X Z)))))) Z))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.negate (tptp.add X (tptp.negate (tptp.add Y Z)))) (tptp.negate (tptp.add Y (tptp.negate (tptp.add X Z)))))) (= X Y))))) (let ((_let_14 (forall ((X $$unsorted)) (or (not (tptp.positive_integer X)) (tptp.positive_integer (tptp.successor X)))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_16 (= tptp.d _let_10))) (let ((_let_17 (tptp.add _let_1 tptp.d))) (let ((_let_18 (= _let_2 _let_17))) (let ((_let_19 (= _let_4 (tptp.add _let_3 tptp.d)))) (let ((_let_20 (tptp.add _let_3 _let_1))) (let ((_let_21 (= _let_9 _let_20))) (let ((_let_22 (tptp.add tptp.d _let_6))) (let ((_let_23 (= _let_3 (tptp.negate _let_22)))) (let ((_let_24 (tptp.add _let_6 tptp.d))) (let ((_let_25 (= _let_22 _let_24))) (let ((_let_26 (= (tptp.negate (tptp.add _let_1 (tptp.negate _let_24))) (tptp.negate (tptp.add _let_6 (tptp.negate _let_17)))))) (let ((_let_27 (= (tptp.add _let_6 _let_3) (tptp.add _let_3 _let_6)))) (let ((_let_28 (tptp.negate _let_20))) (let ((_let_29 (= _let_28 (tptp.negate (tptp.add _let_3 (tptp.negate (tptp.add tptp.e (tptp.multiply _let_5 (tptp.add _let_3 _let_28))))))))) (let ((_let_30 (SYMM (ASSUME :args (_let_11))))) (let ((_let_31 (_let_15))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 ((tptp.add Y X)))) (let ((_let_34 (tptp.positive_integer _let_5))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_23))) (let ((_let_37 (forall ((X $$unsorted) (Y $$unsorted) (Vk $$unsorted)) (let ((_let_1 (tptp.negate (tptp.add X (tptp.negate Y))))) (or (not (tptp.positive_integer Vk)) (= _let_1 (tptp.negate (tptp.add X (tptp.negate (tptp.add Y (tptp.multiply Vk (tptp.add X _let_1)))))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 (not _let_8))) (let ((_let_41 (or _let_40 _let_34))) (let ((_let_42 (_let_14))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_34 (not _let_41)))) (ASSUME :args (_let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.successor X)))) :args _let_42)) _let_43 :args (_let_41 false _let_14)) :args (_let_34 false _let_8 false _let_41)))) (let ((_let_45 (= _let_1 _let_6))) (let ((_let_46 (not _let_26))) (let ((_let_47 (or _let_46 _let_45))) (let ((_let_48 (_let_13))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (or _let_35 _let_29))) (let ((_let_51 (not _let_29))) (let ((_let_52 (_let_51))) (let ((_let_53 (ASSUME :args (_let_29)))) (let ((_let_54 (ASSUME :args (_let_46)))) (let ((_let_55 (APPLY_UF tptp.negate))) (let ((_let_56 (APPLY_UF tptp.add))) (let ((_let_57 (ASSUME :args (_let_18)))) (let ((_let_58 (ASSUME :args (_let_27)))) (let ((_let_59 (ASSUME :args (_let_19)))) (let ((_let_60 (ASSUME :args (_let_21)))) (let ((_let_61 (CONG (SYMM _let_60) :args _let_55))) (let ((_let_62 (REFL :args (_let_3)))) (let ((_let_63 (ASSUME :args (_let_25)))) (let ((_let_64 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_63 _let_64 _let_60 _let_54 _let_57 _let_58 _let_59 _let_30) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_61 (CONG (CONG (REFL :args (_let_1)) (TRANS (SYMM (SYMM _let_64)) (CONG (SYMM (SYMM _let_63)) :args _let_55)) :args _let_56) :args _let_55)) (TRANS (CONG (TRANS (CONG _let_62 (CONG (CONG (REFL :args (tptp.e)) (CONG (REFL :args (_let_5)) (TRANS (CONG _let_62 (TRANS _let_61 (SYMM _let_30)) :args _let_56) (SYMM _let_59)) :args (APPLY_UF tptp.multiply)) :args _let_56) :args _let_55) :args _let_56) (SYMM _let_58)) :args _let_55) (CONG (CONG (REFL :args (_let_6)) (CONG (SYMM (SYMM _let_57)) :args _let_55) :args _let_56) :args _let_55)) :args (=)) (FALSE_INTRO _let_54))) :args (_let_25 _let_23 _let_21 _let_46 _let_18 _let_27 _let_19 _let_16))) _let_53) :args (_let_16 _let_18 _let_19 _let_21 _let_23 _let_25 _let_46 _let_27 _let_29)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_52))) (TRUE_INTRO _let_53))) :args (_let_51 _let_29)) :args ((not (and _let_16 _let_18 _let_19 _let_21 _let_23 _let_25 _let_46 _let_27 _let_29)) SB_LITERAL))) (CONG (REFL :args ((not _let_16))) (REFL :args ((not _let_18))) (REFL :args ((not _let_19))) (REFL :args ((not _let_21))) (REFL :args ((not _let_23))) (REFL :args ((not _let_25))) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_26))) (REFL :args ((not _let_27))) (REFL :args _let_52) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_35 _let_29 (not _let_50)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_3 tptp.e _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_38 :args (_let_50 false _let_37)) :args (_let_29 false _let_34 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_3 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31))) _let_32 :args (_let_27 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_45 _let_46 (not _let_47)))) (SYMM (ASSUME :args (_let_7))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_1 _let_6 tptp.d QUANTIFIERS_INST_CBQI_PROP)) :args _let_48)) _let_49 :args (_let_47 false _let_13)) :args (_let_46 true _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_6 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31))) _let_32 :args (_let_25 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_23 (not _let_36)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.d tptp.e _let_5 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply Vk (tptp.add X (tptp.negate (tptp.add X (tptp.negate Y)))))))) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_23 false _let_34 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31))) _let_32 :args (_let_21 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_3 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31))) _let_32 :args (_let_19 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_1 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31))) _let_32 :args (_let_18 false _let_15)) _let_30 :args (false false _let_29 false _let_27 true _let_26 false _let_25 false _let_23 false _let_21 false _let_19 false _let_18 false _let_16)) :args (_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.add X Y) Z) (tptp.add X (tptp.add Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.negate (tptp.add (tptp.negate (tptp.add X Y)) (tptp.negate (tptp.add X (tptp.negate Y))))) X)) (forall ((X $$unsorted)) (= (tptp.multiply tptp.one X) X)) (forall ((X $$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) _let_14 _let_13 _let_12 _let_11 _let_8 (not (= (tptp.negate (tptp.add tptp.e (tptp.multiply tptp.k _let_4))) _let_1)) _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.19/26.37  )
% 26.19/26.38  % SZS output end Proof for ROB015-2
% 26.19/26.38  % cvc5---1.0.5 exiting
% 26.19/26.38  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------