TSTP Solution File: RNG005-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG005-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 13:49:24 EDT 2023

% Result   : Unsatisfiable 0.13s 0.47s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : RNG005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11  % Command    : do_cvc5 %s %d
% 0.08/0.31  % Computer : n032.cluster.edu
% 0.08/0.31  % Model    : x86_64 x86_64
% 0.08/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31  % Memory   : 8042.1875MB
% 0.08/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31  % CPULimit   : 300
% 0.08/0.31  % WCLimit    : 300
% 0.08/0.31  % DateTime   : Sun Aug 27 02:45:59 EDT 2023
% 0.08/0.31  % CPUTime    : 
% 0.13/0.41  %----Proving TF0_NAR, FOF, or CNF
% 0.13/0.41  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4pR5ZxNs8z/cvc5---1.0.5_985.p...
% 0.13/0.41  ------- get file name : TPTP file name is RNG005-2
% 0.13/0.42  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_985.smt2...
% 0.13/0.42  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.13/0.47  % SZS status Unsatisfiable for RNG005-2
% 0.13/0.47  % SZS output start Proof for RNG005-2
% 0.13/0.47  (
% 0.13/0.47  (let ((_let_1 (tptp.sum tptp.c tptp.d tptp.additive_identity))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.additive_inverse tptp.a))) (let ((_let_4 (tptp.product _let_3 tptp.b tptp.c))) (let ((_let_5 (tptp.product tptp.a tptp.b tptp.d))) (let ((_let_6 (forall ((X $$unsorted)) (tptp.product tptp.additive_identity X tptp.additive_identity)))) (let ((_let_7 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.product V3 X V4)) (tptp.sum V1 V2 V4))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.sum X (tptp.additive_inverse X) tptp.additive_identity)))) (let ((_let_10 (tptp.product tptp.additive_identity tptp.b tptp.additive_identity))) (let ((_let_11 (_let_6))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (tptp.sum tptp.d tptp.c tptp.additive_identity))) (let ((_let_14 (not _let_10))) (let ((_let_15 (tptp.sum tptp.a _let_3 tptp.additive_identity))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_4))) (let ((_let_18 (not _let_5))) (let ((_let_19 (or _let_18 _let_17 _let_16 _let_14 _let_13))) (let ((_let_20 (_let_7))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (_let_9))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_13))) (let ((_let_25 (or _let_24 _let_1))) (let ((_let_26 (_let_8))) (let ((_let_27 (ASSUME :args _let_26))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product tptp.additive_identity X tptp.additive_identity) true))))) :args _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_17 _let_13 _let_16 _let_14 (not _let_19)))) (ASSUME :args (_let_5)) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_1 _let_24 (not _let_25)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.d tptp.c tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum Y X Z) true))))) :args _let_26)) _let_27 :args (_let_25 false _let_8)) :args (_let_24 true _let_1 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args _let_22)) _let_23 :args (_let_15 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.a tptp.b tptp.d _let_3 tptp.c tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Y X V1) false)) (not (= (tptp.sum Y Z V3) false)) (not (= (tptp.sum V1 V2 V4) true))))) :args _let_20)) _let_21 :args (_let_19 false _let_7)) :args (_let_14 false _let_5 false _let_4 true _let_13 false _let_15 false _let_19)) _let_12 :args (false true _let_10 false _let_6)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equalish X Y)) (tptp.equalish (tptp.additive_inverse X) (tptp.additive_inverse Y)))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.equalish X Y)) (tptp.equalish (tptp.add X W) (tptp.add Y W)))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.sum X W Z)) (tptp.sum Y W Z))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.sum W X Z)) (tptp.sum W Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.sum W Z X)) (tptp.sum W Z Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.equalish X Y)) (tptp.equalish (tptp.multiply X W) (tptp.multiply Y W)))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.product X W Z)) (tptp.product Y W Z))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.product W X Z)) (tptp.product W Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.product W Z X)) (tptp.product W Z Y))) (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)) (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))) (forall ((X $$unsorted)) (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity)) _let_9 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum U Z W)) (tptp.sum X V W))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum X V W)) (tptp.sum U Z W))) _let_8 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.product X V3 V4)) (tptp.sum V1 V2 V4))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))) _let_7 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product V3 X V4))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (tptp.equalish U V))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product X Y V)) (tptp.equalish U V))) _let_6 (forall ((X $$unsorted)) (tptp.product X tptp.additive_identity tptp.additive_identity)) _let_5 _let_4 _let_2))))))))))))))))))))))))))))))
% 0.13/0.47  )
% 0.13/0.47  % SZS output end Proof for RNG005-2
% 0.13/0.48  % cvc5---1.0.5 exiting
% 0.13/0.48  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------