TSTP Solution File: GRP036-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP036-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 00:24:07 EDT 2023

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 21:51:58 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1dzgiBJh7E/cvc5---1.0.5_12244.p...
% 0.20/0.51  ------- get file name : TPTP file name is GRP036-3
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12244.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56  % SZS status Unsatisfiable for GRP036-3
% 0.20/0.56  % SZS output start Proof for GRP036-3
% 0.20/0.56  (
% 0.20/0.56  (let ((_let_1 (= tptp.identity tptp.another_identity))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.subgroup_member tptp.another_identity))) (let ((_let_4 (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.product tptp.another_identity A A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subgroup_member A)) (not (tptp.subgroup_member B)) (not (tptp.product A (tptp.inverse B) C)) (tptp.subgroup_member C))))) (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 X V W)) (tptp.product U Z 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 $$unsorted)) (tptp.product X (tptp.inverse X) tptp.identity)))) (let ((_let_9 (forall ((X $$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.another_identity tptp.identity tptp.another_identity))) (let ((_let_12 (_let_9))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (tptp.product tptp.identity tptp.identity tptp.another_identity))) (let ((_let_15 (not _let_11))) (let ((_let_16 (tptp.product tptp.identity tptp.identity tptp.identity))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.product tptp.another_identity tptp.identity tptp.identity))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_15 _let_14))) (let ((_let_21 (_let_6))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (tptp.subgroup_member tptp.identity))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_18))) (let ((_let_26 (_let_4))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.identity QUANTIFIERS_INST_ENUM))) (let ((_let_29 (tptp.product tptp.another_identity (tptp.inverse tptp.another_identity) tptp.identity))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_3))) (let ((_let_32 (or _let_31 _let_31 _let_30 _let_23))) (let ((_let_33 (_let_5))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (_let_8))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (not _let_14))) (let ((_let_38 (or _let_17 _let_37 _let_1))) (let ((_let_39 (_let_7))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (_let_10))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_28) :args _let_41)) _let_42 :args (_let_16 false _let_10)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (tptp.another_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X tptp.identity X) true))))) :args _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_17 _let_14 _let_19 _let_15 (not _let_20)))) _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_1 _let_17 _let_37 (not _let_38)))) (ASSUME :args (_let_2)) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.identity tptp.identity tptp.identity tptp.another_identity QUANTIFIERS_INST_ENUM)) :args _let_39)) _let_40 :args (_let_38 false _let_7)) :args (_let_37 true _let_1 false _let_16 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_18 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_32))) :args ((or _let_31 _let_23 _let_30 (not _let_32)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.another_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args _let_35)) _let_36 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.another_identity tptp.another_identity tptp.identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subgroup_member A) false)) (not (= (tptp.subgroup_member B) false)) (not (= (tptp.subgroup_member C) true))))) :args _let_33)) _let_34 :args (_let_32 false _let_5)) :args (_let_23 false _let_3 false _let_29 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_28) :args _let_26)) _let_27 :args (_let_25 false _let_4)) :args (_let_18 false _let_23 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.another_identity tptp.identity tptp.identity tptp.identity tptp.identity tptp.another_identity 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_21)) _let_22 :args (_let_20 false _let_6)) :args (_let_15 false _let_16 true _let_14 false _let_18 false _let_20)) _let_13 :args (false true _let_11 false _let_9)) :args (_let_10 _let_9 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.identity)) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))) _let_7 (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_6 _let_5 _let_4 (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.product A tptp.another_identity A))) (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.product A (tptp.another_inverse A) tptp.another_identity))) (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.product (tptp.another_inverse A) A tptp.another_identity))) (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.subgroup_member (tptp.another_inverse A)))) _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56  )
% 0.20/0.56  % SZS output end Proof for GRP036-3
% 0.20/0.56  % cvc5---1.0.5 exiting
% 0.20/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------