TSTP Solution File: GRP703-12 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP703-12 : TPTP v8.1.2. Released v8.1.0.
% 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 00:27:15 EDT 2023

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP703-12 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.16/0.34  % Computer : n025.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Mon Aug 28 23:49:24 EDT 2023
% 0.16/0.34  % CPUTime    : 
% 0.21/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZN0m6Aag34/cvc5---1.0.5_29820.p...
% 0.21/0.48  ------- get file name : TPTP file name is GRP703-12
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29820.smt2...
% 0.21/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Unsatisfiable for GRP703-12
% 0.21/0.53  % SZS output start Proof for GRP703-12
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (= (tptp.mult tptp.x2 (tptp.mult tptp.op_e tptp.x3)) (tptp.mult (tptp.mult tptp.x2 tptp.op_e) tptp.x3)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c (tptp.mult A B)) B) A))))) (let ((_let_4 (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_5 (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_6 (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_7 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)))) (let ((_let_11 (= (tptp.mult tptp.x2 (tptp.mult tptp.op_c tptp.x3)) (tptp.mult (tptp.mult tptp.x2 tptp.op_c) tptp.x3)))) (let ((_let_12 (_let_4))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (tptp.mult tptp.op_c tptp.unit))) (let ((_let_15 (tptp.mult _let_14 tptp.unit))) (let ((_let_16 (= _let_14 (tptp.rd _let_15 tptp.unit)))) (let ((_let_17 (= tptp.op_c (tptp.rd _let_14 tptp.unit)))) (let ((_let_18 (tptp.mult tptp.unit tptp.op_c))) (let ((_let_19 (tptp.mult tptp.unit _let_18))) (let ((_let_20 (= _let_18 (tptp.ld tptp.unit _let_19)))) (let ((_let_21 (tptp.mult tptp.unit tptp.unit))) (let ((_let_22 (tptp.mult _let_21 tptp.op_c))) (let ((_let_23 (= tptp.op_c (tptp.ld _let_21 _let_22)))) (let ((_let_24 (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c _let_21) tptp.unit) tptp.unit)))) (let ((_let_25 (= _let_19 _let_22))) (let ((_let_26 (= (tptp.mult tptp.op_c _let_21) _let_15))) (let ((_let_27 (= tptp.unit _let_21))) (let ((_let_28 (= tptp.op_c (tptp.mult (tptp.rd tptp.op_c tptp.unit) tptp.unit)))) (let ((_let_29 (not _let_11))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.rd (tptp.mult A B) B))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 ((tptp.mult A B)))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((tptp.mult A B)))) (let ((_let_38 (_let_3))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.unit tptp.unit QUANTIFIERS_INST_ENUM))) (let ((_let_41 (_let_5))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (_let_6))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.mult (tptp.rd A B) B))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (ASSUME :args (_let_2)))) (let ((_let_50 (and _let_2 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_20 _let_17 _let_16))) (let ((_let_51 (APPLY_UF tptp.mult))) (let ((_let_52 (REFL :args (tptp.x3)))) (let ((_let_53 (ASSUME :args (_let_24)))) (let ((_let_54 (REFL :args (tptp.unit)))) (let ((_let_55 (APPLY_UF tptp.rd))) (let ((_let_56 (ASSUME :args (_let_27)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (REFL :args (tptp.op_c)))) (let ((_let_60 (ASSUME :args (_let_28)))) (let ((_let_61 (CONG _let_59 _let_57 :args _let_51))) (let ((_let_62 (ASSUME :args (_let_26)))) (let ((_let_63 (TRANS (CONG _let_54 _let_57 :args _let_51) _let_57))) (let ((_let_64 (ASSUME :args (_let_23)))) (let ((_let_65 (ASSUME :args (_let_25)))) (let ((_let_66 (ASSUME :args (_let_20)))) (let ((_let_67 (CONG (TRANS (CONG (REFL :args (_let_18)) (SYMM _let_63) :args _let_51) (CONG (TRANS (SYMM (SYMM _let_66)) (CONG _let_58 (SYMM (SYMM _let_65)) :args (APPLY_UF tptp.ld)) (SYMM _let_64)) _let_63 :args _let_51)) _let_54 :args _let_51))) (let ((_let_68 (SYMM _let_61))) (let ((_let_69 (ASSUME :args (_let_16)))) (let ((_let_70 (ASSUME :args (_let_17)))) (let ((_let_71 (TRANS (TRANS (SYMM (SYMM _let_70)) (CONG (TRANS _let_68 _let_62) _let_54 :args _let_55) (SYMM _let_69) _let_68 _let_62 (SYMM _let_67)) (TRANS _let_67 (SYMM _let_62) _let_61) (TRANS (CONG (TRANS (SYMM (SYMM _let_60)) (CONG (CONG _let_59 _let_58 :args _let_55) _let_54 :args _let_51)) _let_54 :args _let_51) (SYMM _let_53))))) (let ((_let_72 (REFL :args (tptp.x2)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (tptp.x2 tptp.x3 QUANTIFIERS_INST_E_MATCHING ((tptp.mult A (tptp.mult tptp.op_c B))))) :args _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_56 _let_60 _let_62 _let_64 _let_65 _let_66 _let_69 _let_70 _let_49) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG _let_72 (CONG _let_71 _let_52 :args _let_51) :args _let_51) (CONG (CONG _let_72 _let_71 :args _let_51) _let_52 :args _let_51) :args (=)) (FALSE_INTRO _let_49))) :args (_let_24 _let_27 _let_28 _let_26 _let_23 _let_25 _let_20 _let_16 _let_17 _let_2))) :args (_let_2 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_20 _let_17 _let_16))) :args (true _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_20))) (REFL :args ((not _let_17))) (REFL :args ((not _let_16))) (REFL :args (_let_29)) :args (or))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.op_c tptp.unit QUANTIFIERS_INST_ENUM)) :args (_let_47))) _let_48 :args (_let_28 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.unit QUANTIFIERS_INST_ENUM)) :args (_let_45))) _let_46 :args (_let_27 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_40) :args _let_43)) _let_44 :args (_let_26 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_40) :args _let_41)) _let_42 :args (_let_25 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_40) :args _let_38)) _let_39 :args (_let_24 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_21 tptp.op_c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_23 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.unit _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_20 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.op_c tptp.unit QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_17 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_14 tptp.unit QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_16 false _let_30)) :args (_let_29 true _let_1 false _let_28 false _let_27 false _let_26 false _let_25 false _let_24 false _let_23 false _let_20 false _let_17 false _let_16)) _let_13 :args (false true _let_11 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)) _let_10 _let_9 _let_8 _let_7 (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_6 _let_5 _let_4 (forall ((A $$unsorted)) (= tptp.op_d (tptp.ld A (tptp.mult tptp.op_c A)))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= tptp.op_f (tptp.mult A (tptp.mult B (tptp.ld (tptp.mult A B) tptp.op_c))))) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for GRP703-12
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------