TSTP Solution File: GRP131-2.002 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 00:24:42 EDT 2023

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n012.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 21:05:09 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.P41rIsif9x/cvc5---1.0.5_12679.p...
% 0.20/0.49  ------- get file name : TPTP file name is GRP131-2.002
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12679.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Unsatisfiable for GRP131-2.002
% 0.20/0.52  % SZS output start Proof for GRP131-2.002
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (forall ((X1 $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted) (X2 $$unsorted) (Y2 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X1 Y1 Z1)) (not (tptp.product X2 Y2 Z1)) (not (tptp.product Z2 Y1 X1)) (not (tptp.product Z2 Y2 X2)) (tptp.equalish X1 X2))))) (let ((_let_2 (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product W Y X)) (not (tptp.product Z Y X)) (tptp.equalish W Z))))) (let ((_let_3 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X W Y)) (not (tptp.product X Z Y)) (tptp.equalish W Z))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X Y tptp.e_1) (tptp.product X Y tptp.e_2))))) (let ((_let_5 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.group_element tptp.e_2))) (let ((_let_10 (tptp.group_element tptp.e_1))) (let ((_let_11 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_5))) (let ((_let_16 (_let_3))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_15))) (let ((_let_19 (tptp.product tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_20 (not _let_9))) (let ((_let_21 (or _let_20 _let_20 _let_19 _let_13))) (let ((_let_22 (_let_4))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_19))) (let ((_let_25 (tptp.product tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_12 _let_26 _let_12 _let_24 _let_5))) (let ((_let_28 (_let_1))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((not (= (tptp.product X2 Y2 Z1) false)) (not (= (tptp.product Z2 Y1 X1) false))))) (let ((_let_31 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_32 (not _let_10))) (let ((_let_33 (or _let_20 _let_32 _let_31 _let_11))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_1) true))))) :args _let_22)) _let_23 :args (_let_33 false _let_4)))) (let ((_let_35 (not _let_31))) (let ((_let_36 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35 _let_7))) (let ((_let_39 (_let_2))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM))) (let ((_let_42 (tptp.product tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_43 (or _let_32 _let_32 _let_36 _let_42))) (let ((_let_44 (not _let_42))) (let ((_let_45 (or _let_44 _let_26 _let_7))) (let ((_let_46 (or _let_44 _let_12 _let_7))) (let ((_let_47 (tptp.product tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_48 (or _let_32 _let_20 _let_47 _let_25))) (let ((_let_49 (not _let_47))) (let ((_let_50 (or _let_49 _let_35 _let_49 _let_44 _let_7))) (let ((_let_51 (ASSUME :args (_let_8)))) (let ((_let_52 ((not (= (tptp.product X W Y) false)) (not (= (tptp.equalish W Z) true))))) (let ((_let_53 (ASSUME :args (_let_10)))) (let ((_let_54 (ASSUME :args (_let_9)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_22)) _let_23 :args (_let_48 false _let_4)))) (let ((_let_56 (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_32 _let_20 _let_47 _let_25 (not _let_48)))))) (let ((_let_57 (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_20 _let_31 _let_11 (not _let_33)))))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_43))) :args ((or _let_32 _let_36 _let_42 (not _let_43)))) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_50))) :args ((or _let_7 _let_44 _let_49 _let_35 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_50 false _let_1)) _let_51 _let_57 _let_34 _let_54 _let_53 _let_56 _let_55 _let_54 _let_53 (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_7 _let_44 _let_12 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product W Y X) false)) (not (= (tptp.product Z Y X) false))))) :args _let_39)) _let_40 :args (_let_46 false _let_2)) _let_51 (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_7 _let_44 _let_26 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_16)) _let_17 :args (_let_45 false _let_3)) _let_51 :args (_let_44 false _let_50 true _let_7 false _let_31 false _let_33 false _let_9 false _let_10 false _let_47 false _let_48 false _let_9 false _let_10 true _let_11 false _let_46 true _let_7 true _let_25 false _let_45 true _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.e_1 tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_22)) _let_23 :args (_let_43 false _let_4)) :args (_let_36 false _let_10 true _let_42 false _let_43)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST _let_57 _let_53 _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_7 _let_37 _let_35 (not _let_38)))) _let_51 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_41) :args _let_39)) _let_40 :args (_let_38 false _let_2)) :args (_let_35 true _let_7 false _let_36 false _let_38)) _let_34 :args (_let_11 false _let_10 false _let_9 true _let_31 false _let_33)))) (let ((_let_60 (or _let_37 _let_49 _let_7))) (let ((_let_61 (ASSUME :args (_let_6)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_5 _let_12 _let_14 _let_18))) _let_61 _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_21))) :args ((or _let_20 _let_13 _let_19 (not _let_21)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_27))) :args ((or _let_5 _let_26 _let_12 _let_24 (not _let_27)))) _let_61 (MACRO_RESOLUTION_TRUST _let_56 _let_53 _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_7 _let_37 _let_49 (not _let_60)))) _let_51 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args _let_41) :args _let_16)) _let_17 :args (_let_60 false _let_3)) :args (_let_49 true _let_7 false _let_36 false _let_60)) _let_55 :args (_let_25 false _let_10 false _let_9 true _let_47 false _let_48)) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_27 false _let_1)) :args (_let_24 true _let_5 false _let_25 false _let_11 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) :args _let_22)) _let_23 :args (_let_21 false _let_4)) :args (_let_13 false _let_9 true _let_19 false _let_21)) :args (_let_18 true _let_5 false _let_11 false _let_13)) _let_17 :args (false true _let_15 false _let_3)) :args ((tptp.next tptp.e_1 tptp.e_2) (tptp.greater tptp.e_2 tptp.e_1) (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (or (not (tptp.product X tptp.e_1 Y)) (not (tptp.next X X1)) (not (tptp.greater Y X1)))) _let_10 _let_9 _let_8 _let_6 _let_4 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y W)) (not (tptp.product X Y Z)) (tptp.equalish W Z))) _let_3 _let_2 _let_1 (forall ((X1 $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted) (X2 $$unsorted) (Y2 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X1 Y1 Z1)) (not (tptp.product X2 Y2 Z1)) (not (tptp.product Z2 Y1 X1)) (not (tptp.product Z2 Y2 X2)) (tptp.equalish Y1 Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for GRP131-2.002
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------