%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP123-6.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 00:24:27 EDT 2023

% Result   : Unsatisfiable 0.34s 0.54s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP123-6.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n007.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 21:42:28 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/sandbox/tmp/tmp.mwXn7EGKbx/cvc5---1.0.5_16095.p...
% 0.19/0.48  ------- get file name : TPTP file name is GRP123-6.003
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16095.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.34/0.54  % SZS status Unsatisfiable for GRP123-6.003
% 0.34/0.54  % SZS output start Proof for GRP123-6.003
% 0.34/0.54  (
% 0.34/0.54  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product1 X Y Z1)) (not (tptp.product1 Z1 Y Z2)) (tptp.product2 Z2 X Y))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.product2 X X X)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product2 X Y W)) (not (tptp.product2 X Y Z)) (tptp.equalish W Z))))) (let ((_let_4 (forall ((X $$unsorted)) (tptp.product1 X X X)))) (let ((_let_5 (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product1 W Y X)) (not (tptp.product1 Z Y X)) (tptp.equalish W Z))))) (let ((_let_6 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product1 X W Y)) (not (tptp.product1 X Z Y)) (tptp.equalish W Z))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product1 X Y tptp.e_1) (tptp.product1 X Y tptp.e_2) (tptp.product1 X Y tptp.e_3))))) (let ((_let_8 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.group_element tptp.e_3))) (let ((_let_17 (tptp.group_element tptp.e_2))) (let ((_let_18 (tptp.group_element tptp.e_1))) (let ((_let_19 (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_20 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_1))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_19))) (let ((_let_25 (_let_1))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (not _let_24))) (let ((_let_28 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_3))) (let ((_let_29 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_2))) (let ((_let_30 (not _let_17))) (let ((_let_31 (not _let_16))) (let ((_let_32 (or _let_31 _let_30 _let_20 _let_29 _let_28))) (let ((_let_33 (_let_7))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_28))) (let ((_let_36 (or _let_23 _let_35 _let_12))) (let ((_let_37 (_let_5))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((not (= (tptp.product1 W Y X) false)) (not (= (tptp.equalish W Z) true))))) (let ((_let_40 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_41 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_42 (not _let_18))) (let ((_let_43 (or _let_42 _let_30 _let_41 _let_40 _let_22))) (let ((_let_44 (not _let_40))) (let ((_let_45 (tptp.product1 tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_10))) (let ((_let_48 (_let_4))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_48)) _let_49 :args (_let_45 false _let_4)))) (let ((_let_51 (not _let_41))) (let ((_let_52 (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_14))) (let ((_let_55 (_let_6))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM))) (let ((_let_58 (tptp.e_1 QUANTIFIERS_INST_ENUM))) (let ((_let_59 (ASSUME :args (_let_15)))) (let ((_let_60 (ASSUME :args (_let_17)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_30 _let_41 _let_40 _let_22 (not _let_43)))) (ASSUME :args (_let_18)) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_14 _let_53 _let_51 (not _let_54)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_58) :args _let_48)) _let_49 :args (_let_52 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_57) :args _let_55)) _let_56 :args (_let_54 false _let_6)) :args (_let_51 true _let_14 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_10 _let_44 _let_46 (not _let_47)))) (ASSUME :args (_let_11)) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_47 false _let_5)) :args (_let_44 true _let_10 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_34 :args (_let_43 false _let_7)) :args (_let_22 false _let_18 false _let_17 true _let_41 true _let_40 false _let_43)))) (let ((_let_62 (not _let_29))) (let ((_let_63 (or _let_46 _let_62 _let_8))) (let ((_let_64 (not _let_19))) (let ((_let_65 (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64 _let_14))) (let ((_let_68 (_let_3))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (_let_2))) (let ((_let_71 (ASSUME :args _let_70))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product1 X Y Z1) false)) (not (= (tptp.product1 Z1 Y Z2) false))))) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_19 _let_23 _let_21 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_14 _let_66 _let_64 (not _let_67)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args _let_58) :args _let_70)) _let_71 :args (_let_65 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_57) :args _let_68)) _let_69 :args (_let_67 false _let_3)) :args (_let_64 true _let_14 false _let_65 false _let_67)) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_30 _let_31 _let_20 _let_29 _let_28 (not _let_32)))) _let_60 (ASSUME :args (_let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_8 _let_46 _let_62 (not _let_63)))) (ASSUME :args (_let_9)) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_63 false _let_5)) :args (_let_62 true _let_8 false _let_45 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_12 _let_23 _let_35 (not _let_36)))) (ASSUME :args (_let_13)) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_36 false _let_5)) :args (_let_35 true _let_12 false _let_22 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) :args _let_33)) _let_34 :args (_let_32 false _let_7)) :args (_let_20 false _let_17 false _let_16 true _let_29 true _let_28 false _let_32)) :args (_let_27 true _let_19 false _let_22 false _let_20)) _let_26 :args (false true _let_24 false _let_1)) :args (_let_18 _let_17 _let_16 _let_15 _let_13 _let_11 _let_9 (not (tptp.equalish tptp.e_3 tptp.e_1)) (not (tptp.equalish tptp.e_3 tptp.e_2)) _let_7 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product1 X Y W)) (not (tptp.product1 X Y Z)) (tptp.equalish W Z))) _let_6 _let_5 _let_4 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product2 X Y tptp.e_1) (tptp.product2 X Y tptp.e_2) (tptp.product2 X Y tptp.e_3))) _let_3 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product2 X W Y)) (not (tptp.product2 X Z Y)) (tptp.equalish W Z))) (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product2 W Y X)) (not (tptp.product2 Z Y X)) (tptp.equalish W Z))) _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.36/0.54  )
% 0.36/0.54  % SZS output end Proof for GRP123-6.003
% 0.36/0.54  % cvc5---1.0.5 exiting
% 0.36/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------