TSTP Solution File: GRP123-2.003 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 00:24:26 EDT 2023
% Result : Unsatisfiable 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 20:11:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6CHYYw9pKa/cvc5---1.0.5_10234.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP123-2.003
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10234.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Unsatisfiable for GRP123-2.003
% 0.20/0.54 % SZS output start Proof for GRP123-2.003
% 0.20/0.55 (
% 0.20/0.55 (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 ((X $$unsorted)) (tptp.product X X X)))) (let ((_let_3 (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product W Y X)) (not (tptp.product Z Y X)) (tptp.equalish W Z))))) (let ((_let_4 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X W Y)) (not (tptp.product X Z Y)) (tptp.equalish W Z))))) (let ((_let_5 (forall ((X $$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) (tptp.product X Y tptp.e_3))))) (let ((_let_6 (tptp.equalish tptp.e_3 tptp.e_2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.group_element tptp.e_3))) (let ((_let_15 (tptp.group_element tptp.e_2))) (let ((_let_16 (tptp.group_element tptp.e_1))) (let ((_let_17 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.product tptp.e_3 tptp.e_1 tptp.e_3))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_6))) (let ((_let_22 (_let_3))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_21))) (let ((_let_25 (tptp.product tptp.e_3 tptp.e_1 tptp.e_2))) (let ((_let_26 (tptp.product tptp.e_3 tptp.e_1 tptp.e_1))) (let ((_let_27 (not _let_16))) (let ((_let_28 (not _let_14))) (let ((_let_29 (or _let_28 _let_27 _let_26 _let_25 _let_19))) (let ((_let_30 (_let_5))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_25))) (let ((_let_35 (or _let_34 _let_33 _let_18 _let_33 _let_6))) (let ((_let_36 (_let_1))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_39 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_40 (not _let_15))) (let ((_let_41 (or _let_40 _let_27 _let_39 _let_38 _let_17))) (let ((_let_42 (not _let_38))) (let ((_let_43 (or _let_33 _let_42 _let_8))) (let ((_let_44 (_let_4))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (_let_2))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_47 :args (_let_32 false _let_2)))) (let ((_let_49 (not _let_39))) (let ((_let_50 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49 _let_12))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_47 :args (_let_50 false _let_2)))) (let ((_let_54 (ASSUME :args (_let_16)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_27 _let_40 _let_39 _let_38 _let_17 (not _let_41)))) _let_54 (ASSUME :args (_let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_12 _let_51 _let_49 (not _let_52)))) (ASSUME :args (_let_13)) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_22)) _let_23 :args (_let_52 false _let_3)) :args (_let_49 true _let_12 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_8 _let_33 _let_42 (not _let_43)))) (ASSUME :args (_let_9)) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X W Y) false)) (not (= (tptp.equalish W Z) true))))) :args _let_44)) _let_45 :args (_let_43 false _let_4)) :args (_let_42 true _let_8 false _let_32 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_1) true))))) :args _let_30)) _let_31 :args (_let_41 false _let_5)) :args (_let_17 false _let_16 false _let_15 true _let_39 true _let_38 false _let_41)))) (let ((_let_56 (ASSUME :args (_let_7)))) (let ((_let_57 (not _let_26))) (let ((_let_58 (or _let_51 _let_57 _let_10))) (let ((_let_59 (not (= (tptp.product W Y X) false)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING (_let_59 (not (= (tptp.equalish W Z) true))))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_6 _let_18 _let_20 _let_24))) _let_56 _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_27 _let_28 _let_26 _let_25 _let_19 (not _let_29)))) _let_54 (ASSUME :args (_let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_10 _let_51 _let_57 (not _let_58)))) (ASSUME :args (_let_11)) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING (_let_59 (not (= (tptp.product Z Y X) false))))) :args _let_22)) _let_23 :args (_let_58 false _let_3)) :args (_let_57 true _let_10 false _let_50 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_35))) :args ((or _let_6 _let_33 _let_18 _let_34 (not _let_35)))) _let_56 _let_48 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X2 Y2 Z1) false)) (not (= (tptp.product Z2 Y1 X1) false))))) :args _let_36)) _let_37 :args (_let_35 false _let_1)) :args (_let_34 true _let_6 false _let_32 false _let_17 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) :args _let_30)) _let_31 :args (_let_29 false _let_5)) :args (_let_19 false _let_16 false _let_14 true _let_26 true _let_25 false _let_29)) :args (_let_24 true _let_6 false _let_17 false _let_19)) _let_23 :args (false true _let_21 false _let_3)) :args ((tptp.next tptp.e_1 tptp.e_2) (tptp.next tptp.e_2 tptp.e_3) (tptp.greater tptp.e_2 tptp.e_1) (tptp.greater tptp.e_3 tptp.e_1) (tptp.greater tptp.e_3 tptp.e_2) (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_16 _let_15 _let_14 _let_13 _let_11 _let_9 (not (tptp.equalish tptp.e_2 tptp.e_3)) (not (tptp.equalish tptp.e_3 tptp.e_1)) _let_7 _let_5 (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_4 _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for GRP123-2.003
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------