TSTP Solution File: GRP123-4.003 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP123-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 0.21s 0.59s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP123-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 22:24:30 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.BQxJhXIZGj/cvc5---1.0.5_13023.p...
% 0.21/0.52 ------- get file name : TPTP file name is GRP123-4.003
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13023.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.59 % SZS status Unsatisfiable for GRP123-4.003
% 0.21/0.59 % SZS output start Proof for GRP123-4.003
% 0.21/0.59 (
% 0.21/0.59 (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) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y W)) (not (tptp.product X Y Z)) (tptp.equalish W Z))))) (let ((_let_5 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.group_element tptp.e_2))) (let ((_let_8 (tptp.group_element tptp.e_1))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X tptp.e_1 Y) (tptp.product X tptp.e_2 Y) (tptp.product X tptp.e_3 Y))))) (let ((_let_10 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_5))) (let ((_let_15 (_let_3))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (not _let_14))) (let ((_let_18 (tptp.product tptp.e_2 tptp.e_3 tptp.e_1))) (let ((_let_19 (tptp.product tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_20 (not _let_8))) (let ((_let_21 (not _let_7))) (let ((_let_22 (or _let_21 _let_20 _let_10 _let_19 _let_18))) (let ((_let_23 (_let_9))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 ((not (= (tptp.product X tptp.e_1 Y) true))))) (let ((_let_26 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_27 (not _let_26))) (let ((_let_28 (not _let_18))) (let ((_let_29 (or _let_13 _let_28 _let_13 _let_27 _let_5))) (let ((_let_30 (_let_1))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.product tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_33 (tptp.product tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_34 (or _let_20 _let_21 _let_33 _let_32 _let_26))) (let ((_let_35 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_36 (not _let_35))) (let ((_let_37 (not _let_32))) (let ((_let_38 (or _let_37 _let_36 _let_5))) (let ((_let_39 (not (= (tptp.product Z Y X) false)))) (let ((_let_40 (_let_2))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X X X) true))))) :args _let_40)) _let_41 :args (_let_35 false _let_2)))) (let ((_let_43 (ASSUME :args (_let_6)))) (let ((_let_44 (not _let_33))) (let ((_let_45 (or _let_13 _let_44 _let_5))) (let ((_let_46 (_let_4))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((not (= (tptp.product X Y W) false)) (not (= (tptp.equalish W Z) true))))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_40)) _let_41 :args (_let_12 false _let_2)))) (let ((_let_50 (ASSUME :args (_let_7)))) (let ((_let_51 (ASSUME :args (_let_8)))) (let ((_let_52 (not _let_19))) (let ((_let_53 (or _let_52 _let_36 _let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equalish W Z) true)) _let_39))) :args _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_5 _let_13 _let_11 _let_17))) _let_43 _let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_20 _let_21 _let_10 _let_19 _let_18 (not _let_22)))) _let_51 _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_5 _let_52 _let_36 (not _let_53)))) _let_43 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_53 false _let_4)) :args (_let_52 true _let_5 false _let_35 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_29))) :args ((or _let_5 _let_13 _let_28 _let_27 (not _let_29)))) _let_43 _let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_20 _let_21 _let_33 _let_32 _let_26 (not _let_34)))) _let_51 _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_5 _let_13 _let_44 (not _let_45)))) _let_43 _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_45 false _let_4)) :args (_let_44 true _let_5 false _let_12 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_5 _let_37 _let_36 (not _let_38)))) _let_43 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product W Y X) false)) _let_39))) :args _let_15)) _let_16 :args (_let_38 false _let_3)) :args (_let_37 true _let_5 false _let_35 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23)) _let_24 :args (_let_34 false _let_9)) :args (_let_26 false _let_8 false _let_7 true _let_33 true _let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X2 Y2 Z1) false)) (not (= (tptp.product Z2 Y1 X1) false))))) :args _let_30)) _let_31 :args (_let_29 false _let_1)) :args (_let_28 true _let_5 false _let_12 false _let_26 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23)) _let_24 :args (_let_22 false _let_9)) :args (_let_10 false _let_8 false _let_7 true _let_19 true _let_18 false _let_22)) :args (_let_17 true _let_5 false _let_12 false _let_10)) _let_16 :args (false true _let_14 false _let_3)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product tptp.e_1 X Y) (tptp.product tptp.e_2 X Y) (tptp.product tptp.e_3 X Y))) _let_9 _let_8 _let_7 (tptp.group_element tptp.e_3) _let_6 (not (tptp.equalish tptp.e_1 tptp.e_3)) (not (tptp.equalish tptp.e_2 tptp.e_1)) (not (tptp.equalish tptp.e_2 tptp.e_3)) (not (tptp.equalish tptp.e_3 tptp.e_1)) (not (tptp.equalish tptp.e_3 tptp.e_2)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X Y tptp.e_1) (tptp.product X Y tptp.e_2) (tptp.product X Y tptp.e_3))) _let_4 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X W Y)) (not (tptp.product X Z Y)) (tptp.equalish W Z))) _let_3 _let_2 _let_1 (forall ((X1 $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.59 )
% 0.21/0.60 % SZS output end Proof for GRP123-4.003
% 0.21/0.60 % cvc5---1.0.5 exiting
% 0.21/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------