%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : FLD002-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 : Wed Aug 30 22:28:04 EDT 2023

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : FLD002-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.18/0.35  % Computer : n026.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit   : 300
% 0.18/0.35  % WCLimit    : 300
% 0.18/0.35  % DateTime   : Sun Aug 27 23:36:19 EDT 2023
% 0.18/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7dboMaj5m8/cvc5---1.0.5_27836.p...
% 0.21/0.50  ------- get file name : TPTP file name is FLD002-3
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27836.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57  % SZS status Unsatisfiable for FLD002-3
% 0.21/0.57  % SZS output start Proof for FLD002-3
% 0.21/0.57  (
% 0.21/0.57  (let ((_let_1 (tptp.sum tptp.additive_identity tptp.a tptp.b))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.multiplicative_identity tptp.a tptp.b))) (let ((_let_4 (tptp.defined tptp.a))) (let ((_let_5 (tptp.defined tptp.additive_identity))) (let ((_let_6 (forall ((C $$unsorted) (D $$unsorted) (B $$unsorted) (X $$unsorted) (Y $$unsorted) (A $$unsorted) (Z $$unsorted)) (or (tptp.sum C D B) (not (tptp.sum X Y A)) (not (tptp.product A Z B)) (not (tptp.product X Z C)) (not (tptp.product Y Z D)))))) (let ((_let_7 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.product Y X Z) (not (tptp.product X Y Z)))))) (let ((_let_8 (forall ((X $$unsorted)) (or (tptp.product tptp.multiplicative_identity X X) (not (tptp.defined X)))))) (let ((_let_9 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.sum Y X Z) (not (tptp.sum X Y Z)))))) (let ((_let_10 (forall ((X $$unsorted)) (or (tptp.sum tptp.additive_identity X X) (not (tptp.defined X)))))) (let ((_let_11 (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.product tptp.a tptp.multiplicative_identity tptp.a))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.product tptp.a tptp.multiplicative_identity tptp.b))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.sum tptp.a tptp.additive_identity tptp.a))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.sum tptp.a tptp.additive_identity tptp.b))) (let ((_let_20 (or _let_19 _let_18 _let_16 _let_14 _let_12))) (let ((_let_21 (_let_6))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (not _let_20))) (let ((_let_24 (tptp.product tptp.multiplicative_identity tptp.a tptp.a))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_13 _let_25))) (let ((_let_27 (_let_7))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((not (= (tptp.product X Y Z) false))))) (let ((_let_30 (not _let_4))) (let ((_let_31 (or _let_24 _let_30))) (let ((_let_32 (_let_8))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((not (= (tptp.defined X) false))))) (let ((_let_35 (ASSUME :args (_let_4)))) (let ((_let_36 (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_11 _let_37))) (let ((_let_39 (not _let_5))) (let ((_let_40 (or _let_36 _let_39))) (let ((_let_41 (tptp.sum tptp.additive_identity tptp.a tptp.a))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_17 _let_42))) (let ((_let_44 (_let_9))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (or _let_41 _let_30))) (let ((_let_47 (_let_10))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (not _let_3))) (let ((_let_50 (or _let_15 _let_49))) (let ((_let_51 (not _let_19))) (let ((_let_52 (or _let_1 _let_51))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.a tptp.additive_identity tptp.b tptp.a tptp.additive_identity tptp.a tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum C D B) true)) (not (= (tptp.sum X Y A) false)) (not (= (tptp.product A Z B) false))))) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_16 _let_18 _let_12 _let_14 _let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_1 _let_51 (not _let_52)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.additive_identity tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum Y X Z) true))))) :args _let_44)) _let_45 :args (_let_52 false _let_9)) :args (_let_51 true _let_1 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_15 (not _let_50)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.a tptp.multiplicative_identity tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_50 false _let_7)) :args (_let_15 false _let_3 false _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_17 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_30 _let_41 (not _let_46)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_47)) _let_48 :args (_let_46 false _let_10)) :args (_let_41 false _let_4 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.a tptp.additive_identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum X Y Z) false))))) :args _let_44)) _let_45 :args (_let_43 false _let_9)) :args (_let_17 false _let_41 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_11 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_36 (not _let_40)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_40 false _let_8)) :args (_let_36 false _let_5 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_38 false _let_7)) :args (_let_11 false _let_36 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_13 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_24 (not _let_31)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_31 false _let_8)) :args (_let_24 false _let_4 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.a tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_26 false _let_7)) :args (_let_13 false _let_24 false _let_26)) :args (_let_23 true _let_19 false _let_15 false _let_17 false _let_11 false _let_13)) _let_22 :args (false true _let_20 false _let_6)) :args ((forall ((X $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted)) (or (tptp.sum X V W) (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum U Z W)))) (forall ((U $$unsorted) (Z $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (V $$unsorted)) (or (tptp.sum U Z W) (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum X V W)))) _let_10 (forall ((X $$unsorted)) (or (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity) (not (tptp.defined X)))) _let_9 (forall ((X $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted)) (or (tptp.product X V W) (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)))) (forall ((U $$unsorted) (Z $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (V $$unsorted)) (or (tptp.product U Z W) (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)))) _let_8 (forall ((X $$unsorted)) (or (tptp.product (tptp.multiplicative_inverse X) X tptp.multiplicative_identity) (tptp.sum tptp.additive_identity X tptp.additive_identity) (not (tptp.defined X)))) _let_7 _let_6 (forall ((A $$unsorted) (Z $$unsorted) (B $$unsorted) (X $$unsorted) (Y $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.product A Z B) (not (tptp.sum X Y A)) (not (tptp.product X Z C)) (not (tptp.product Y Z D)) (not (tptp.sum C D B)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.add X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_5 (forall ((X $$unsorted)) (or (tptp.defined (tptp.additive_inverse X)) (not (tptp.defined X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.multiply X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) (tptp.defined tptp.multiplicative_identity) (forall ((X $$unsorted)) (or (tptp.defined (tptp.multiplicative_inverse X)) (not (tptp.defined X)) (tptp.sum tptp.additive_identity X tptp.additive_identity))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.sum X Y (tptp.add X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.product X Y (tptp.multiply X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.sum tptp.additive_identity X Y) (not (tptp.less_or_equal X Y)) (not (tptp.less_or_equal Y X)))) (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal X Z) (not (tptp.less_or_equal X Y)) (not (tptp.less_or_equal Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal X Y) (tptp.less_or_equal Y X) (not (tptp.defined X)) (not (tptp.defined Y)))) (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (tptp.less_or_equal U V) (not (tptp.less_or_equal X Y)) (not (tptp.sum X Z U)) (not (tptp.sum Y Z V)))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal tptp.additive_identity Z) (not (tptp.less_or_equal tptp.additive_identity X)) (not (tptp.less_or_equal tptp.additive_identity Y)) (not (tptp.product X Y Z)))) (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity)) _let_4 (tptp.defined tptp.b) _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57  )
% 0.21/0.58  % SZS output end Proof for FLD002-3
% 0.21/0.58  % cvc5---1.0.5 exiting
% 0.21/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------