TSTP Solution File: GRP685-11 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP685-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 00:27:10 EDT 2023

% Result   : Unsatisfiable 11.19s 11.39s
% Output   : Proof 11.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : GRP685-11 : TPTP v8.1.2. Released v8.1.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 02:18:32 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.hqKhAv6X3g/cvc5---1.0.5_25865.p...
% 0.22/0.52  ------- get file name : TPTP file name is GRP685-11
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25865.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.65  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.19/11.39  % SZS status Unsatisfiable for GRP685-11
% 11.19/11.39  % SZS output start Proof for GRP685-11
% 11.19/11.39  (
% 11.19/11.39  (let ((_let_1 (tptp.rd tptp.x7 tptp.x8))) (let ((_let_2 (tptp.rd (tptp.mult tptp.x6 _let_1) _let_1))) (let ((_let_3 (= _let_2 (tptp.rd (tptp.mult tptp.x6 tptp.x8) tptp.x8)))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A (tptp.ld B B))) (tptp.rd (tptp.mult (tptp.rd A A) B) B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.rd C D))) (= (tptp.rd (tptp.mult (tptp.mult A B) _let_1) _let_1) (tptp.mult A (tptp.rd (tptp.mult B D) D))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) (tptp.rd (tptp.mult A B) B))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) (tptp.ld A (tptp.mult A B)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.rd (tptp.mult A A) A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.ld A (tptp.mult A A)) A)))) (let ((_let_11 (tptp.rd (tptp.mult tptp.x6 tptp.x6) tptp.x6))) (let ((_let_12 (= tptp.x6 _let_11))) (let ((_let_13 (tptp.rd tptp.x6 tptp.x6))) (let ((_let_14 (tptp.mult _let_13 tptp.x6))) (let ((_let_15 (= _let_11 _let_14))) (let ((_let_16 (tptp.mult tptp.x8 tptp.x8))) (let ((_let_17 (tptp.ld tptp.x8 _let_16))) (let ((_let_18 (= tptp.x8 _let_17))) (let ((_let_19 (tptp.rd _let_16 tptp.x8))) (let ((_let_20 (= tptp.x8 _let_19))) (let ((_let_21 (tptp.mult _let_1 _let_1))) (let ((_let_22 (tptp.rd _let_21 _let_1))) (let ((_let_23 (= _let_1 _let_22))) (let ((_let_24 (tptp.ld tptp.x8 tptp.x8))) (let ((_let_25 (tptp.mult tptp.x8 _let_24))) (let ((_let_26 (= _let_17 _let_25))) (let ((_let_27 (tptp.mult (tptp.rd tptp.x8 tptp.x8) tptp.x8))) (let ((_let_28 (= _let_19 _let_27))) (let ((_let_29 (= (tptp.ld tptp.x8 _let_25) (tptp.rd _let_27 tptp.x8)))) (let ((_let_30 (= (tptp.rd (tptp.mult _let_25 _let_1) _let_1) (tptp.mult tptp.x8 (tptp.rd (tptp.mult _let_24 tptp.x8) tptp.x8))))) (let ((_let_31 (tptp.mult _let_13 _let_2))) (let ((_let_32 (= _let_31 (tptp.rd (tptp.mult _let_14 _let_22) _let_22)))) (let ((_let_33 (tptp.mult tptp.x8 _let_1))) (let ((_let_34 (tptp.rd _let_33 _let_1))) (let ((_let_35 (= _let_31 (tptp.rd (tptp.mult _let_14 _let_34) _let_34)))) (let ((_let_36 (ASSUME :args (_let_4)))) (let ((_let_37 (forall ((A $$unsorted)) (= A (tptp.rd (tptp.mult A A) A))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 (_let_7))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (forall ((A $$unsorted)) (= A (tptp.ld A (tptp.mult A A)))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (tptp.x8 QUANTIFIERS_INST_ENUM))) (let ((_let_45 (_let_8))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.x8 tptp.x8 QUANTIFIERS_INST_ENUM))) (let ((_let_48 (_let_5))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (_let_6))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (and _let_4 _let_12 _let_15 _let_18 _let_20 _let_23 _let_26 _let_28 _let_29 _let_30 _let_32))) (let ((_let_53 (APPLY_UF tptp.rd))) (let ((_let_54 (ASSUME :args (_let_18)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (ASSUME :args (_let_26)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (APPLY_UF tptp.mult))) (let ((_let_59 (TRANS _let_57 _let_55))) (let ((_let_60 (REFL :args (tptp.x8)))) (let ((_let_61 (CONG _let_60 _let_59 :args (APPLY_UF tptp.ld)))) (let ((_let_62 (ASSUME :args (_let_29)))) (let ((_let_63 (ASSUME :args (_let_28)))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (ASSUME :args (_let_20)))) (let ((_let_66 (SYMM _let_65))) (let ((_let_67 (CONG (TRANS (SYMM _let_66) (SYMM _let_64)) _let_60 :args _let_53))) (let ((_let_68 (ASSUME :args (_let_30)))) (let ((_let_69 (REFL :args (_let_1)))) (let ((_let_70 (TRANS (CONG (CONG (SYMM _let_59) _let_69 :args _let_58) _let_69 :args _let_53) (SYMM (SYMM _let_68)) (CONG _let_60 (TRANS (CONG (TRANS (CONG (TRANS (SYMM _let_61) _let_62 (SYMM _let_67)) _let_60 :args _let_58) _let_64 _let_66) _let_60 :args _let_53) _let_67 (SYMM _let_62) _let_61) :args _let_58) _let_57 _let_55))) (let ((_let_71 (ASSUME :args (_let_12)))) (let ((_let_72 (ASSUME :args (_let_15)))) (let ((_let_73 (TRANS (SYMM _let_72) (SYMM _let_71)))) (let ((_let_74 (ASSUME :args (_let_23)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (ASSUME :args (_let_32)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_36 _let_71 _let_72 _let_74 _let_76 _let_54 _let_56 _let_62 _let_63 _let_65 _let_68) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_76)) (CONG (CONG _let_73 _let_75 :args _let_58) _let_75 :args _let_53)) (CONG (CONG _let_73 _let_70 :args _let_58) _let_70 :args _let_53) :args (=)) (FALSE_INTRO _let_36))) :args (_let_4 _let_12 _let_15 _let_23 _let_32 _let_18 _let_26 _let_29 _let_28 _let_20 _let_30))) :args (_let_4 _let_12 _let_15 _let_18 _let_20 _let_23 _let_26 _let_28 _let_29 _let_30 _let_32))) :args (true _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_12))) (REFL :args ((not _let_15))) (REFL :args ((not _let_18))) (REFL :args ((not _let_20))) (REFL :args ((not _let_23))) (REFL :args ((not _let_26))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args ((not _let_30))) (REFL :args ((not _let_32))) (REFL :args ((not _let_35))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_13 tptp.x6 _let_33 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50))) _let_51 :args (_let_35 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_13 tptp.x6 _let_21 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50))) _let_51 :args (_let_32 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.x8 _let_24 tptp.x7 tptp.x8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50)) _let_51 :args (_let_30 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_47) :args _let_48)) _let_49 :args (_let_29 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_47) :args _let_40))) _let_41 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_47) :args _let_45))) _let_46 :args (_let_26 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args _let_39)) _let_38 :args (_let_23 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_44) :args _let_39)) _let_38 :args (_let_20 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_44) :args (_let_42))) _let_43 :args (_let_18 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.x6 tptp.x6 QUANTIFIERS_INST_ENUM)) :args _let_40))) _let_41 :args (_let_15 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.x6 QUANTIFIERS_INST_ENUM)) :args _let_39)) _let_38 :args (_let_12 false _let_37)) _let_36 :args (false false _let_35 false _let_32 false _let_30 false _let_29 false _let_28 false _let_26 false _let_23 false _let_20 false _let_18 false _let_15 false _let_12 true _let_3)) :args (_let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ld A B))) (= (tptp.ld _let_1 (tptp.mult _let_1 (tptp.mult C D))) (tptp.mult (tptp.ld A (tptp.mult A C)) D)))) _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.19/11.39  )
% 11.19/11.39  % SZS output end Proof for GRP685-11
% 11.19/11.39  % cvc5---1.0.5 exiting
% 11.19/11.40  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------