TSTP Solution File: GRP461-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP461-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 00:26:07 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
% 0.00/0.13 % Problem : GRP461-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.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 20:55:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.7trxdTIrWK/cvc5---1.0.5_2625.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP461-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2625.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56 % SZS status Unsatisfiable for GRP461-1
% 0.20/0.56 % SZS output start Proof for GRP461-1
% 0.20/0.56 (
% 0.20/0.56 (let ((_let_1 (tptp.multiply tptp.identity tptp.a2))) (let ((_let_2 (not (= _let_1 tptp.a2)))) (let ((_let_3 (forall ((A $$unsorted)) (= tptp.identity (tptp.divide A A))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide tptp.identity B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide A (tptp.divide (tptp.divide (tptp.divide tptp.identity B) C) (tptp.divide (tptp.divide (tptp.divide A A) A) C))) B)))) (let ((_let_6 (= tptp.a2 _let_1))) (let ((_let_7 (tptp.divide tptp.identity tptp.identity))) (let ((_let_8 (= tptp.identity _let_7))) (let ((_let_9 (tptp.divide _let_7 tptp.identity))) (let ((_let_10 (tptp.divide tptp.identity tptp.a2))) (let ((_let_11 (tptp.divide (tptp.divide _let_10 tptp.a2) (tptp.divide _let_9 tptp.a2)))) (let ((_let_12 (tptp.divide tptp.identity _let_11))) (let ((_let_13 (= tptp.a2 _let_12))) (let ((_let_14 (tptp.divide _let_10 _let_10))) (let ((_let_15 (= tptp.a2 (tptp.divide tptp.identity (tptp.divide _let_14 (tptp.divide _let_9 _let_10)))))) (let ((_let_16 (tptp.divide (tptp.divide _let_7 _let_11) (tptp.divide _let_9 _let_11)))) (let ((_let_17 (tptp.divide tptp.identity _let_16))) (let ((_let_18 (= tptp.identity _let_17))) (let ((_let_19 (tptp.divide _let_9 tptp.identity))) (let ((_let_20 (tptp.divide (tptp.divide _let_12 tptp.identity) _let_19))) (let ((_let_21 (tptp.divide tptp.identity _let_20))) (let ((_let_22 (= _let_11 _let_21))) (let ((_let_23 (= _let_16 (tptp.divide tptp.identity (tptp.divide (tptp.divide _let_17 _let_16) (tptp.divide _let_9 _let_16)))))) (let ((_let_24 (= (tptp.multiply tptp.identity _let_20) (tptp.divide tptp.identity _let_21)))) (let ((_let_25 (= tptp.identity _let_14))) (let ((_let_26 (= tptp.a2 (tptp.divide tptp.a2 (tptp.divide _let_14 (tptp.divide (tptp.divide (tptp.divide tptp.a2 tptp.a2) tptp.a2) _let_10)))))) (let ((_let_27 (_let_3))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.divide A (tptp.divide (tptp.divide (tptp.divide tptp.identity B) C) (tptp.divide (tptp.divide (tptp.divide A A) A) C))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 (tptp.divide (tptp.divide (tptp.divide A A) A) C))) (let ((_let_33 (tptp.divide tptp.identity B))) (let ((_let_34 (_let_33 _let_32))) (let ((_let_35 ((tptp.divide (tptp.divide _let_33 C) _let_32)))) (let ((_let_36 (_let_4))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (and _let_8 _let_13 _let_15 _let_18 _let_22 _let_23 _let_24 _let_25 _let_26))) (let ((_let_39 (ASSUME :args (_let_26)))) (let ((_let_40 (SYMM _let_39))) (let ((_let_41 (APPLY_UF tptp.divide))) (let ((_let_42 (ASSUME :args (_let_13)))) (let ((_let_43 (SYMM _let_42))) (let ((_let_44 (REFL :args (_let_11)))) (let ((_let_45 (ASSUME :args (_let_8)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (REFL :args (tptp.identity)))) (let ((_let_48 (TRANS (CONG _let_46 _let_47 :args _let_41) _let_46))) (let ((_let_49 (CONG _let_46 _let_44 :args _let_41))) (let ((_let_50 (ASSUME :args (_let_23)))) (let ((_let_51 (REFL :args (_let_16)))) (let ((_let_52 (ASSUME :args (_let_18)))) (let ((_let_53 (SYMM (SYMM _let_52)))) (let ((_let_54 (ASSUME :args (_let_25)))) (let ((_let_55 (SYMM (SYMM _let_54)))) (let ((_let_56 (CONG _let_43 (TRANS _let_45 (CONG _let_55 (TRANS _let_55 (CONG (CONG (TRANS _let_45 (CONG _let_47 (TRANS _let_45 (CONG (TRANS _let_53 (CONG _let_53 _let_51 :args _let_41)) (TRANS _let_53 (CONG (SYMM _let_48) _let_51 :args _let_41)) :args _let_41)) :args _let_41) (SYMM _let_50) (CONG (TRANS _let_49 _let_43) (TRANS (CONG _let_48 _let_44 :args _let_41) _let_43) :args _let_41)) (REFL :args (tptp.a2)) :args _let_41) (REFL :args (_let_10)) :args _let_41)) :args _let_41)) :args _let_41))) (let ((_let_57 (SYMM _let_49))) (let ((_let_58 (ASSUME :args (_let_15)))) (let ((_let_59 (CONG (TRANS (TRANS (SYMM _let_58) _let_42 _let_57) _let_49) _let_47 :args _let_41))) (let ((_let_60 (ASSUME :args (_let_24)))) (let ((_let_61 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_38)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_42 _let_45 _let_54 _let_50 _let_52 _let_58 _let_60 _let_61) (SCOPE (TRANS _let_42 (CONG _let_47 (SYMM (SYMM _let_61)) :args _let_41) (SYMM _let_60) (CONG _let_47 (TRANS (CONG (SYMM _let_59) (REFL :args (_let_19)) :args _let_41) (CONG (TRANS (TRANS _let_59 _let_56 _let_40 _let_42 _let_57) _let_49) (TRANS (CONG _let_48 _let_47 :args _let_41) _let_46) :args _let_41) _let_56 _let_40) :args (APPLY_UF tptp.multiply))) :args (_let_26 _let_13 _let_8 _let_25 _let_23 _let_18 _let_15 _let_24 _let_22))) :args (_let_8 _let_13 _let_15 _let_18 _let_22 _let_23 _let_24 _let_25 _let_26))) :args (true _let_38)) :args ((or _let_6 (not _let_8) (not _let_13) (not _let_15) (not _let_18) (not _let_22) (not _let_23) (not _let_24) (not _let_25) (not _let_26)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.a2 tptp.a2 _let_10 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_31)) _let_30 :args (_let_26 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide A A) tptp.identity))))) :args _let_27)) _let_28 :args (_let_25 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.identity _let_20 QUANTIFIERS_INST_E_MATCHING ((tptp.divide A (tptp.divide tptp.identity B))))) :args _let_36)) _let_37 :args (_let_24 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_16 _let_16 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_31)) _let_30 :args (_let_23 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_11 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_31)) _let_30 :args (_let_22 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_11 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_31)) _let_30 :args (_let_18 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.a2 _let_10 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_31)) _let_30 :args (_let_15 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.a2 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_31)) _let_30 :args (_let_13 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_28 :args (_let_8 false _let_3)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_26 false _let_25 false _let_24 false _let_23 false _let_22 false _let_18 false _let_15 false _let_13 false _let_8 true _let_6)) :args (_let_5 _let_4 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.divide tptp.identity A))) _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56 )
% 0.20/0.56 % SZS output end Proof for GRP461-1
% 0.20/0.57 % cvc5---1.0.5 exiting
% 0.20/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------