TSTP Solution File: GRP001-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 00:23:52 EDT 2023

% Result   : Unsatisfiable 1.03s 1.29s
% Output   : Proof 1.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n024.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   : Tue Aug 29 00:44:53 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.zIzDLyEDtN/cvc5---1.0.5_25363.p...
% 0.21/0.50  ------- get file name : TPTP file name is GRP001-1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25363.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.03/1.29  % SZS status Unsatisfiable for GRP001-1
% 1.03/1.29  % SZS output start Proof for GRP001-1
% 1.03/1.29  (
% 1.03/1.29  (let ((_let_1 (tptp.product tptp.b tptp.a tptp.c))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.a tptp.b tptp.c))) (let ((_let_4 (forall ((X $$unsorted)) (tptp.product X X tptp.identity)))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y Z)) (not (tptp.product X Y W)) (= Z W))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.product X tptp.identity X)))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.product tptp.identity X X)))) (let ((_let_11 (tptp.product tptp.b tptp.c tptp.a))) (let ((_let_12 (tptp.product tptp.a tptp.identity tptp.a))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.product tptp.c tptp.c tptp.identity))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.product tptp.a tptp.c tptp.b))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13 _let_11))) (let ((_let_19 (_let_5))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (not _let_18))) (let ((_let_22 (tptp.product tptp.identity tptp.b tptp.b))) (let ((_let_23 (not _let_22))) (let ((_let_24 (not _let_3))) (let ((_let_25 (tptp.product tptp.a tptp.a tptp.identity))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_23 _let_16))) (let ((_let_28 (_let_6))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (not (= (tptp.product U Z W) false)))) (let ((_let_31 (not (= (tptp.product X Y U) false)))) (let ((_let_32 (_let_31 (not (= (tptp.product Y Z V) false)) _let_30))) (let ((_let_33 (_let_10))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_36 (_let_4))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_39 (ASSUME :args (_let_3)))) (let ((_let_40 (tptp.product tptp.identity tptp.c tptp.c))) (let ((_let_41 (not _let_40))) (let ((_let_42 (not _let_11))) (let ((_let_43 (tptp.product tptp.b tptp.b tptp.identity))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42 _let_41 _let_1))) (let ((_let_46 (tptp.multiply tptp.identity tptp.a))) (let ((_let_47 (tptp.product _let_46 tptp.b tptp.c))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.product tptp.identity tptp.a _let_46))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_24 _let_48 _let_40))) (let ((_let_52 (= tptp.a _let_46))) (let ((_let_53 (tptp.product tptp.identity tptp.a tptp.a))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_50 _let_54 _let_52))) (let ((_let_56 (_let_7))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (_let_8))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.identity tptp.a QUANTIFIERS_INST_ENUM)) :args _let_58)) _let_59 :args (_let_49 false _let_8)))) (let ((_let_61 (and _let_3 _let_52))) (let ((_let_62 (_let_3 _let_52))) (let ((_let_63 (ASSUME :args (_let_52)))) (let ((_let_64 (_let_9))) (let ((_let_65 (ASSUME :args _let_64))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a tptp.c tptp.b tptp.c tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y U) false)) (not (= (tptp.product U Z W) true)) (not (= (tptp.product Y Z V) false))))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_13 _let_11 _let_15 _let_17 _let_21))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_38) :args _let_64)) _let_65 :args (_let_12 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_1 _let_41 _let_44 _let_42 (not _let_45)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_24 _let_50 _let_48 _let_40 (not _let_51)))) _let_39 _let_60 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_61)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_63) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_63) (REFL :args (tptp.b)) (REFL :args (tptp.c)) :args (APPLY_UF tptp.product)) (TRUE_INTRO _let_39))) :args _let_62)) :args _let_62)) :args (true _let_61)) _let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_50 _let_52 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_38) :args _let_33)) _let_34 :args (_let_53 false _let_10)) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.identity tptp.a _let_46 tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y Z) false)) (not (= (tptp.product X Y W) false))))) :args _let_56))) _let_57 :args (_let_55 false _let_7)) :args (_let_52 false _let_53 false _let_49 false _let_55)) :args (_let_47 false _let_3 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.identity tptp.a _let_46 tptp.b tptp.c tptp.c QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_28)) _let_29 :args (_let_51 false _let_6)) :args (_let_40 false _let_3 false _let_49 false _let_47 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_35) :args _let_36)) _let_37 :args (_let_43 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.b tptp.b tptp.identity tptp.c tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING (_let_30 _let_31 (not (= (tptp.product X V W) true))))) :args _let_28)) _let_29 :args (_let_45 false _let_6)) :args (_let_42 true _let_1 false _let_40 false _let_43 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.c QUANTIFIERS_INST_ENUM)) :args _let_36)) _let_37 :args (_let_14 false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_24 _let_26 _let_23 _let_16 (not _let_27)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_38) :args _let_36)) _let_37 :args (_let_25 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_35) :args _let_33)) _let_34 :args (_let_22 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.a tptp.a tptp.identity tptp.b tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_28)) _let_29 :args (_let_27 false _let_6)) :args (_let_16 false _let_3 false _let_25 false _let_22 false _let_27)) :args (_let_21 false _let_12 true _let_11 false _let_14 false _let_16)) _let_20 :args (false true _let_18 false _let_5)) :args (_let_10 _let_9 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.identity)) (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.identity)) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.03/1.29  )
% 1.03/1.30  % SZS output end Proof for GRP001-1
% 1.03/1.30  % cvc5---1.0.5 exiting
% 1.03/1.30  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------