TSTP Solution File: GRP448-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP448-1 : 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 00:26:04 EDT 2023

% Result   : Unsatisfiable 40.43s 41.03s
% Output   : Proof 40.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP448-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 28 21:08:25 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.O87T8PiHVs/cvc5---1.0.5_4461.p...
% 0.20/0.49  ------- get file name : TPTP file name is GRP448-1
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4461.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.31/10.51  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.31/15.64  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.31/20.66  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.37/25.68  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.36/30.70  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.20/35.71  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.38/40.72  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 40.43/41.03  % SZS status Unsatisfiable for GRP448-1
% 40.43/41.03  % SZS output start Proof for GRP448-1
% 40.43/41.04  (
% 40.43/41.04  (let ((_let_1 (tptp.inverse tptp.b1))) (let ((_let_2 (tptp.multiply _let_1 tptp.b1))) (let ((_let_3 (tptp.inverse tptp.a1))) (let ((_let_4 (tptp.multiply _let_3 tptp.a1))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse A) (tptp.divide (tptp.divide B B) A))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide (tptp.divide C C) B)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.divide B B))) (= (tptp.divide A (tptp.divide (tptp.divide (tptp.divide _let_1 B) C) (tptp.divide (tptp.divide _let_1 A) C))) B))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.divide B B))) (= B (tptp.divide A (tptp.divide (tptp.divide (tptp.divide _let_1 B) C) (tptp.divide (tptp.divide _let_1 A) C)))))))) (let ((_let_11 (tptp.divide (tptp.divide tptp.b1 tptp.b1) tptp.b1))) (let ((_let_12 (tptp.divide _let_11 _let_11))) (let ((_let_13 (tptp.divide _let_12 _let_12))) (let ((_let_14 (tptp.divide _let_13 tptp.a1))) (let ((_let_15 (tptp.divide _let_13 _let_12))) (let ((_let_16 (= _let_12 (tptp.divide tptp.a1 (tptp.divide (tptp.divide _let_15 tptp.a1) (tptp.divide _let_14 tptp.a1)))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (tptp.divide (tptp.divide tptp.a1 tptp.a1) tptp.a1))) (let ((_let_19 (tptp.divide _let_18 _let_18))) (let ((_let_20 (tptp.divide _let_19 _let_19))) (let ((_let_21 (tptp.divide _let_20 tptp.a1))) (let ((_let_22 (tptp.divide _let_20 _let_19))) (let ((_let_23 (= _let_19 (tptp.divide tptp.a1 (tptp.divide (tptp.divide _let_22 tptp.a1) (tptp.divide _let_21 tptp.a1)))))) (let ((_let_24 (tptp.inverse _let_19))) (let ((_let_25 (= _let_24 _let_22))) (let ((_let_26 (tptp.inverse _let_12))) (let ((_let_27 (= _let_26 _let_15))) (let ((_let_28 (= _let_3 _let_21))) (let ((_let_29 (= _let_3 _let_14))) (let ((_let_30 (= _let_24 (tptp.divide (tptp.divide _let_3 _let_3) _let_19)))) (let ((_let_31 (= _let_26 (tptp.divide (tptp.divide _let_1 _let_1) _let_12)))) (let ((_let_32 (= _let_4 (tptp.divide _let_3 _let_18)))) (let ((_let_33 (= _let_2 (tptp.divide _let_1 _let_11)))) (let ((_let_34 (= _let_1 _let_11))) (let ((_let_35 (= _let_3 _let_18))) (let ((_let_36 (not _let_16))) (let ((_let_37 (_let_10))) (let ((_let_38 (_let_7))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.divide B B))) (let ((_let_41 ((tptp.inverse A) _let_40))) (let ((_let_42 ((tptp.divide _let_40 A)))) (let ((_let_43 (_let_8))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 ((tptp.divide (tptp.divide C C) B) (tptp.multiply A B)))) (let ((_let_46 (ASSUME :args (_let_6)))) (let ((_let_47 (and _let_6 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_25 _let_23))) (let ((_let_48 (ASSUME :args (_let_33)))) (let ((_let_49 (APPLY_UF tptp.divide))) (let ((_let_50 (ASSUME :args (_let_34)))) (let ((_let_51 (SYMM (SYMM _let_50)))) (let ((_let_52 (CONG _let_51 (REFL :args (_let_11)) :args _let_49))) (let ((_let_53 (ASSUME :args (_let_32)))) (let ((_let_54 (ASSUME :args (_let_35)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (CONG _let_55 (REFL :args (_let_18)) :args _let_49))) (let ((_let_57 (ASSUME :args (_let_23)))) (let ((_let_58 (REFL :args (tptp.a1)))) (let ((_let_59 (ASSUME :args (_let_28)))) (let ((_let_60 (SYMM (SYMM _let_59)))) (let ((_let_61 (ASSUME :args (_let_29)))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (ASSUME :args (_let_25)))) (let ((_let_64 (ASSUME :args (_let_30)))) (let ((_let_65 (ASSUME :args (_let_31)))) (let ((_let_66 (ASSUME :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a1 _let_12 tptp.a1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_47)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_54 _let_57 _let_63 _let_64 _let_59 _let_61 _let_50 _let_65 _let_66 _let_46 _let_48) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_58 (CONG (TRANS (TRANS (CONG (TRANS (SYMM _let_66) (SYMM (SYMM _let_65)) (CONG (TRANS (CONG (REFL :args (_let_1)) _let_51 :args _let_49) _let_52) (REFL :args (_let_12)) :args _let_49)) _let_58 :args _let_49) _let_62 _let_54) (TRANS _let_55 _let_60 (CONG (TRANS (CONG (TRANS _let_56 (CONG (REFL :args (_let_3)) _let_55 :args _let_49)) (REFL :args (_let_19)) :args _let_49) (SYMM _let_64) (SYMM (SYMM _let_63))) _let_58 :args _let_49))) (TRANS (CONG (TRANS _let_62 _let_54) _let_58 :args _let_49) (CONG (TRANS _let_55 _let_60) _let_58 :args _let_49)) :args _let_49) :args _let_49) (SYMM _let_57) _let_56 (SYMM _let_53)) (TRANS (SYMM _let_52) (SYMM _let_48)) :args (=)) (FALSE_INTRO _let_46)) :args ((= _let_16 false)))) :args (_let_32 _let_35 _let_23 _let_25 _let_30 _let_28 _let_29 _let_34 _let_31 _let_27 _let_6 _let_33))) :args (_let_6 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_25 _let_23))) :args (true _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_35))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_25))) (REFL :args ((not _let_23))) (REFL :args (_let_36)) :args (or))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.a1 tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_39 :args (_let_35 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.b1 tptp.b1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_38)) _let_39 :args (_let_34 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_1 tptp.b1 tptp.b1 QUANTIFIERS_INST_E_MATCHING_MT _let_45)) :args _let_43)) _let_44 :args (_let_33 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_3 tptp.a1 tptp.a1 QUANTIFIERS_INST_E_MATCHING_MT _let_45)) :args _let_43)) _let_44 :args (_let_32 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_12 _let_1 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_38)) _let_39 :args (_let_31 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_19 _let_3 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_38)) _let_39 :args (_let_30 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.a1 _let_12 QUANTIFIERS_INST_E_MATCHING_MT _let_41)) :args _let_38)) _let_39 :args (_let_29 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.a1 _let_19 QUANTIFIERS_INST_E_MATCHING_MT _let_41)) :args _let_38)) _let_39 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_12 _let_12 QUANTIFIERS_INST_E_MATCHING_MT _let_41)) :args _let_38)) _let_39 :args (_let_27 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_19 _let_19 QUANTIFIERS_INST_E_MATCHING_MT _let_41)) :args _let_38)) _let_39 :args (_let_25 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a1 _let_19 tptp.a1 QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide (tptp.divide B B) A) C)))) :args _let_37)) _let_17 :args (_let_23 false _let_10)) :args (_let_36 true _let_5 false _let_35 false _let_34 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 false _let_27 false _let_25 false _let_23)) _let_17 :args (false true _let_16 false _let_10)) :args (_let_9 _let_8 _let_7 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 40.43/41.04  )
% 40.43/41.04  % SZS output end Proof for GRP448-1
% 40.43/41.04  % cvc5---1.0.5 exiting
% 40.43/41.04  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------