TSTP Solution File: ALG240-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG240-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 : Wed Aug 30 16:08:53 EDT 2023

% Result   : Unsatisfiable 20.43s 20.81s
% Output   : Proof 20.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ALG240-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n018.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   : Mon Aug 28 05:57:01 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8Nf3og0zp1/cvc5---1.0.5_11659.p...
% 0.20/0.50  ------- get file name : TPTP file name is ALG240-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11659.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.17/10.53  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.37/15.56  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.36/20.59  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.43/20.81  % SZS status Unsatisfiable for ALG240-1
% 20.43/20.81  % SZS output start Proof for ALG240-1
% 20.43/20.81  (
% 20.43/20.81  (let ((_let_1 (tptp.mult tptp.c tptp.d))) (let ((_let_2 (tptp.mult (tptp.mult tptp.a tptp.b) _let_1))) (let ((_let_3 (tptp.mult tptp.a tptp.c))) (let ((_let_4 (tptp.mult _let_3 (tptp.mult tptp.b tptp.d)))) (let ((_let_5 (tptp.mult _let_2 _let_4))) (let ((_let_6 (= _let_5 (tptp.mult _let_4 _let_2)))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.mult (tptp.mult A B) (tptp.mult C D)))) (let ((_let_2 (tptp.mult (tptp.mult A C) (tptp.mult B D)))) (= (tptp.mult (tptp.mult _let_1 _let_2) _let_2) _let_1)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.mult (tptp.mult A C) (tptp.mult B D)))) (let ((_let_2 (tptp.mult (tptp.mult A B) (tptp.mult C D)))) (= (tptp.mult _let_2 (tptp.mult _let_2 _let_1)) _let_1)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) C) (tptp.mult (tptp.mult A C) (tptp.mult B C)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult A (tptp.mult B C)) (tptp.mult (tptp.mult A B) (tptp.mult A C)))))) (let ((_let_12 (tptp.mult tptp.b _let_1))) (let ((_let_13 (tptp.mult tptp.a _let_1))) (let ((_let_14 (tptp.mult _let_13 _let_12))) (let ((_let_15 (= _let_2 _let_14))) (let ((_let_16 (tptp.mult tptp.a tptp.d))) (let ((_let_17 (tptp.mult _let_3 _let_16))) (let ((_let_18 (= _let_13 _let_17))) (let ((_let_19 (tptp.mult _let_3 tptp.d))) (let ((_let_20 (tptp.mult _let_3 tptp.b))) (let ((_let_21 (= _let_4 (tptp.mult _let_20 _let_19)))) (let ((_let_22 (tptp.mult _let_16 _let_1))) (let ((_let_23 (= _let_19 _let_22))) (let ((_let_24 (tptp.mult _let_4 _let_4))) (let ((_let_25 (tptp.mult _let_5 _let_24))) (let ((_let_26 (tptp.mult _let_5 _let_4))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (tptp.mult _let_2 _let_5))) (let ((_let_29 (= _let_4 _let_28))) (let ((_let_30 (tptp.mult _let_20 _let_22))) (let ((_let_31 (tptp.mult _let_17 _let_12))) (let ((_let_32 (tptp.mult _let_31 _let_30))) (let ((_let_33 (= _let_31 (tptp.mult _let_32 _let_30)))) (let ((_let_34 (= (tptp.mult _let_26 _let_4) (tptp.mult _let_26 _let_24)))) (let ((_let_35 (= (tptp.mult (tptp.mult _let_31 _let_32) _let_4) (tptp.mult (tptp.mult _let_31 _let_4) (tptp.mult _let_32 _let_4))))) (let ((_let_36 (= _let_25 (tptp.mult _let_26 _let_26)))) (let ((_let_37 (= (tptp.mult _let_2 (tptp.mult _let_5 _let_14)) (tptp.mult _let_28 (tptp.mult _let_2 _let_14))))) (let ((_let_38 (ASSUME :args (_let_7)))) (let ((_let_39 (_let_10))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (_let_11))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (tptp.a tptp.c tptp.d QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_44 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.mult (tptp.mult A C) (tptp.mult B D)))) (let ((_let_2 (tptp.mult (tptp.mult A B) (tptp.mult C D)))) (= _let_1 (tptp.mult _let_2 (tptp.mult _let_2 _let_1)))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.mult (tptp.mult A C) (tptp.mult B D)))) (let ((_let_2 (tptp.mult (tptp.mult A B) (tptp.mult C D)))) (= _let_2 (tptp.mult (tptp.mult _let_2 _let_1) _let_1))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_5 _let_4 _let_4 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_49 (not _let_37))) (let ((_let_50 (_let_49))) (let ((_let_51 (ASSUME :args (_let_37)))) (let ((_let_52 (APPLY_UF tptp.mult))) (let ((_let_53 (ASSUME :args (_let_15)))) (let ((_let_54 (SYMM _let_53))) (let ((_let_55 (ASSUME :args (_let_18)))) (let ((_let_56 (CONG (SYMM _let_55) (REFL :args (_let_12)) :args _let_52))) (let ((_let_57 (ASSUME :args (_let_33)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (ASSUME :args (_let_23)))) (let ((_let_60 (ASSUME :args (_let_21)))) (let ((_let_61 (TRANS (SYMM (SYMM _let_60)) (CONG (REFL :args (_let_20)) (SYMM (SYMM _let_59)) :args _let_52)))) (let ((_let_62 (SYMM _let_56))) (let ((_let_63 (TRANS _let_53 _let_62))) (let ((_let_64 (CONG _let_63 _let_61 :args _let_52))) (let ((_let_65 (CONG _let_64 _let_61 :args _let_52))) (let ((_let_66 (ASSUME :args (_let_27)))) (let ((_let_67 (ASSUME :args (_let_36)))) (let ((_let_68 (TRANS _let_65 _let_58 _let_56 _let_54))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (REFL :args (_let_2)))) (let ((_let_71 (ASSUME :args (_let_29)))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (REFL :args (_let_4)))) (let ((_let_74 (ASSUME :args (_let_34)))) (let ((_let_75 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_51 (MODUS_PONENS (AND_INTRO _let_53 _let_55 _let_57 _let_59 _let_60 _let_74 _let_71 _let_75 _let_38 _let_66 _let_67) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_70 (TRANS (CONG (CONG _let_63 _let_73 :args _let_52) (TRANS _let_62 _let_57 (SYMM _let_65) (CONG _let_64 _let_73 :args _let_52)) :args _let_52) (SYMM _let_75) (CONG (TRANS (CONG (SYMM _let_63) (SYMM _let_64) :args _let_52) _let_72) _let_73 :args _let_52)) :args _let_52) (CONG _let_69 (REFL :args (_let_24)) :args _let_52) (SYMM _let_74) (CONG _let_68 _let_73 :args _let_52)) (CONG _let_72 (TRANS (CONG _let_70 _let_54 :args _let_52) (CONG _let_69 _let_69 :args _let_52) (SYMM _let_67) (SYMM _let_66) _let_65 _let_58 _let_56 _let_54) :args _let_52) :args (=)) (FALSE_INTRO _let_38))) :args (_let_15 _let_18 _let_33 _let_23 _let_21 _let_34 _let_29 _let_35 _let_7 _let_27 _let_36)))) :args (_let_7 _let_15 _let_18 _let_21 _let_23 _let_27 _let_29 _let_33 _let_34 _let_35 _let_36 _let_37)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_50))) (TRUE_INTRO (SYMM (SYMM _let_51))))) :args (_let_37 _let_49)) :args ((not (and _let_7 _let_15 _let_18 _let_21 _let_23 _let_27 _let_29 _let_33 _let_34 _let_35 _let_36 _let_37)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) (REFL :args ((not _let_15))) (REFL :args ((not _let_18))) (REFL :args ((not _let_21))) (REFL :args ((not _let_23))) (REFL :args ((not _let_27))) (REFL :args ((not _let_29))) (REFL :args ((not _let_33))) (REFL :args ((not _let_34))) (REFL :args ((not _let_35))) (REFL :args ((not _let_36))) (REFL :args _let_50) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_2 _let_5 _let_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_41)) _let_42 :args (_let_37 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_48) :args _let_41)) _let_42 :args (_let_36 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_31 _let_32 _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_39)) _let_40 :args (_let_35 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_48) :args _let_39)) _let_40 :args (_let_34 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_3 _let_16 tptp.b _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_46))) _let_47 :args (_let_33 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.a tptp.b tptp.c tptp.d QUANTIFIERS_INST_CBQI_PROP)) :args (_let_44))) _let_45 :args (_let_29 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_2 _let_4 _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_40 :args (_let_27 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_43) :args _let_39)) _let_40 :args (_let_23 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_3 tptp.b tptp.d QUANTIFIERS_INST_CBQI_PROP)) :args _let_41)) _let_42 :args (_let_21 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_43) :args _let_41)) _let_42 :args (_let_18 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.a tptp.b _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_39)) _let_40 :args (_let_15 false _let_10)) _let_38 :args (false false _let_37 false _let_36 false _let_35 false _let_34 false _let_33 false _let_29 false _let_27 false _let_23 false _let_21 false _let_18 false _let_15 true _let_6)) :args (_let_11 _let_10 _let_9 _let_8 _let_7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.43/20.81  )
% 20.43/20.82  % SZS output end Proof for ALG240-1
% 20.43/20.82  % cvc5---1.0.5 exiting
% 20.43/20.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------