TSTP Solution File: GRP034-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 00:24:06 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n002.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 : Tue Aug 29 00:15:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.NFjpYDBRwx/cvc5---1.0.5_1925.p...
% 0.21/0.49 ------- get file name : TPTP file name is GRP034-3
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1925.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Unsatisfiable for GRP034-3
% 0.21/0.53 % SZS output start Proof for GRP034-3
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (tptp.inverse tptp.a))) (let ((_let_2 (tptp.subgroup_member _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.subgroup_member tptp.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)) (tptp.product X (tptp.inverse X) tptp.identity)))) (let ((_let_7 (forall ((X $$unsorted)) (tptp.product tptp.identity X X)))) (let ((_let_8 (tptp.product tptp.identity _let_1 _let_1))) (let ((_let_9 (_let_7))) (let ((_let_10 (ASSUME :args _let_9))) (let ((_let_11 (not _let_8))) (let ((_let_12 (not _let_4))) (let ((_let_13 (tptp.subgroup_member tptp.identity))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_11 _let_2))) (let ((_let_16 (_let_5))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (tptp.product tptp.a _let_1 tptp.identity))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_12 _let_12 _let_19 _let_13))) (let ((_let_21 (_let_6))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (ASSUME :args (_let_4)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product tptp.identity X X) true))))) :args _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_2 _let_12 _let_14 _let_11 (not _let_15)))) (ASSUME :args (_let_3)) _let_23 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_20))) :args ((or _let_12 _let_19 _let_13 (not _let_20)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args _let_21)) _let_22 :args (_let_18 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product A (tptp.inverse B) C) false))))) :args _let_16)) _let_17 :args (_let_20 false _let_5)) :args (_let_13 false _let_4 false _let_18 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.identity tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subgroup_member A) false)) (not (= (tptp.subgroup_member B) false)) (not (= (tptp.subgroup_member C) true))))) :args _let_16)) _let_17 :args (_let_15 false _let_5)) :args (_let_11 true _let_2 false _let_4 false _let_13 false _let_15)) _let_10 :args (false true _let_8 false _let_7)) :args (_let_7 (forall ((X $$unsorted)) (tptp.product X tptp.identity X)) (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.identity)) _let_6 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y Z)) (not (tptp.product X Y W)) (= Z W))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))) (forall ((X $$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_5 _let_4 _let_3))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for GRP034-3
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------