TSTP Solution File: GRP702-11 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP702-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 00:27:14 EDT 2023

% Result   : Unsatisfiable 0.15s 0.41s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : GRP702-11 : TPTP v8.1.2. Released v8.1.0.
% 0.04/0.10  % Command    : do_cvc5 %s %d
% 0.09/0.29  % Computer : n023.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 29 01:09:10 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.38  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.38  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eAcefXX9Xd/cvc5---1.0.5_17086.p...
% 0.15/0.39  ------- get file name : TPTP file name is GRP702-11
% 0.15/0.39  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17086.smt2...
% 0.15/0.39  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.15/0.41  % SZS status Unsatisfiable for GRP702-11
% 0.15/0.41  % SZS output start Proof for GRP702-11
% 0.15/0.41  (
% 0.15/0.41  (let ((_let_1 (tptp.mult tptp.x0 tptp.x1))) (let ((_let_2 (= (tptp.mult tptp.x0 (tptp.mult tptp.x1 tptp.op_d)) (tptp.mult _let_1 tptp.op_d)))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((A $$unsorted)) (= tptp.op_d (tptp.ld A (tptp.mult tptp.op_c A)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.mult tptp.op_c B)) (tptp.mult (tptp.mult A tptp.op_c) B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.mult B tptp.op_c)) (tptp.mult (tptp.mult A B) tptp.op_c))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult tptp.op_c (tptp.mult A B)) (tptp.mult (tptp.mult tptp.op_c A) B))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)))) (let ((_let_11 (= (tptp.mult tptp.x0 (tptp.mult tptp.x1 tptp.op_c)) (tptp.mult _let_1 tptp.op_c)))) (let ((_let_12 (_let_6))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (tptp.mult tptp.op_c tptp.unit))) (let ((_let_15 (tptp.mult _let_14 tptp.unit))) (let ((_let_16 (= _let_14 (tptp.rd _let_15 tptp.unit)))) (let ((_let_17 (= tptp.op_c (tptp.rd _let_14 tptp.unit)))) (let ((_let_18 (tptp.mult tptp.unit tptp.op_c))) (let ((_let_19 (tptp.mult tptp.unit _let_18))) (let ((_let_20 (= _let_18 (tptp.ld tptp.unit _let_19)))) (let ((_let_21 (tptp.mult tptp.unit _let_14))) (let ((_let_22 (= _let_14 (tptp.ld tptp.unit _let_21)))) (let ((_let_23 (tptp.mult tptp.unit tptp.unit))) (let ((_let_24 (tptp.mult _let_23 tptp.op_c))) (let ((_let_25 (= tptp.op_c (tptp.ld _let_23 _let_24)))) (let ((_let_26 (= tptp.op_d (tptp.ld tptp.unit _let_14)))) (let ((_let_27 (= _let_21 (tptp.mult _let_18 tptp.unit)))) (let ((_let_28 (= _let_19 _let_24))) (let ((_let_29 (= (tptp.mult tptp.op_c _let_23) _let_15))) (let ((_let_30 (= tptp.unit _let_23))) (let ((_let_31 (not _let_11))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.rd (tptp.mult A B) B))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_32))) (let ((_let_35 ((tptp.mult A B)))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 ((tptp.mult A B)))) (let ((_let_40 (_let_4))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (tptp.unit QUANTIFIERS_INST_ENUM))) (let ((_let_43 (_let_5))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.unit tptp.unit QUANTIFIERS_INST_ENUM))) (let ((_let_46 (_let_7))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (ASSUME :args (_let_3)))) (let ((_let_51 (and _let_3 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_22 _let_20 _let_17 _let_16))) (let ((_let_52 (APPLY_UF tptp.mult))) (let ((_let_53 (ASSUME :args (_let_26)))) (let ((_let_54 (APPLY_UF tptp.ld))) (let ((_let_55 (ASSUME :args (_let_30)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (REFL :args (tptp.unit)))) (let ((_let_58 (TRANS (CONG _let_57 _let_56 :args _let_52) _let_56))) (let ((_let_59 (ASSUME :args (_let_25)))) (let ((_let_60 (ASSUME :args (_let_28)))) (let ((_let_61 (ASSUME :args (_let_20)))) (let ((_let_62 (ASSUME :args (_let_27)))) (let ((_let_63 (ASSUME :args (_let_22)))) (let ((_let_64 (ASSUME :args (_let_16)))) (let ((_let_65 (ASSUME :args (_let_29)))) (let ((_let_66 (ASSUME :args (_let_17)))) (let ((_let_67 (TRANS (SYMM (SYMM _let_66)) (CONG (TRANS (CONG (REFL :args (tptp.op_c)) _let_55 :args _let_52) (SYMM (SYMM _let_65))) _let_57 :args (APPLY_UF tptp.rd)) (SYMM _let_64) (SYMM (SYMM _let_63)) (CONG _let_57 (TRANS (SYMM (SYMM _let_62)) (CONG (REFL :args (_let_18)) (SYMM _let_58) :args _let_52) (CONG (TRANS (SYMM (SYMM _let_61)) (CONG _let_55 (SYMM (SYMM _let_60)) :args _let_54) (SYMM _let_59)) _let_58 :args _let_52)) :args _let_54) (SYMM _let_53)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (tptp.x0 tptp.x1 QUANTIFIERS_INST_E_MATCHING ((tptp.mult A (tptp.mult B tptp.op_c))))) :args _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_59 _let_55 _let_60 _let_61 _let_62 _let_63 _let_64 _let_65 _let_66 _let_50) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (REFL :args (tptp.x0)) (CONG (REFL :args (tptp.x1)) _let_67 :args _let_52) :args _let_52) (CONG (REFL :args (_let_1)) _let_67 :args _let_52) :args (=)) (FALSE_INTRO _let_50))) :args (_let_26 _let_25 _let_30 _let_28 _let_20 _let_27 _let_22 _let_16 _let_29 _let_17 _let_3))) :args (_let_3 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_22 _let_20 _let_17 _let_16))) :args (true _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_22))) (REFL :args ((not _let_20))) (REFL :args ((not _let_17))) (REFL :args ((not _let_16))) (REFL :args (_let_31)) :args (or))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_42) :args (_let_48))) _let_49 :args (_let_30 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_45) :args _let_46)) _let_47 :args (_let_29 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args _let_45) :args _let_12)) _let_13 :args (_let_28 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_45) :args _let_43)) _let_44 :args (_let_27 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_42) :args _let_40)) _let_41 :args (_let_26 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_23 tptp.op_c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_25 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.unit _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_22 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.unit _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_20 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.op_c tptp.unit QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_17 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_14 tptp.unit QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_16 false _let_32)) :args (_let_31 true _let_2 false _let_30 false _let_29 false _let_28 false _let_27 false _let_26 false _let_25 false _let_22 false _let_20 false _let_17 false _let_16)) _let_13 :args (false true _let_11 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)) _let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)) _let_9 _let_8 (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult A (tptp.mult B (tptp.mult B C))) (tptp.mult (tptp.mult (tptp.mult A B) B) C))) _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c (tptp.mult A B)) B) A))) (forall ((A $$unsorted) (B $$unsorted)) (= tptp.op_f (tptp.mult A (tptp.mult B (tptp.ld (tptp.mult A B) tptp.op_c))))) _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.15/0.41  )
% 0.15/0.41  % SZS output end Proof for GRP702-11
% 0.15/0.42  % cvc5---1.0.5 exiting
% 0.15/0.42  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------