TSTP Solution File: GRP704-12 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP704-12 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 00:27:16 EDT 2023

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP704-12 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 00:28:40 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BcKy6yjeRd/cvc5---1.0.5_29640.p...
% 0.21/0.50  ------- get file name : TPTP file name is GRP704-12
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29640.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54  % SZS status Unsatisfiable for GRP704-12
% 0.21/0.54  % SZS output start Proof for GRP704-12
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (= (tptp.mult tptp.x4 (tptp.mult tptp.op_f tptp.x5)) (tptp.mult (tptp.mult tptp.x4 tptp.op_f) tptp.x5)))) (let ((_let_2 (not _let_1))) (let ((_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 ((_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 $$unsorted)) (= (tptp.mult A tptp.unit) A)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)))) (let ((_let_9 (= (tptp.mult tptp.x4 (tptp.mult tptp.op_c tptp.x5)) (tptp.mult (tptp.mult tptp.x4 tptp.op_c) tptp.x5)))) (let ((_let_10 (_let_4))) (let ((_let_11 (ASSUME :args _let_10))) (let ((_let_12 (tptp.mult tptp.unit tptp.op_c))) (let ((_let_13 (tptp.mult tptp.unit _let_12))) (let ((_let_14 (= _let_12 (tptp.ld tptp.unit _let_13)))) (let ((_let_15 (tptp.mult tptp.unit tptp.unit))) (let ((_let_16 (tptp.mult _let_15 tptp.op_c))) (let ((_let_17 (= tptp.op_c (tptp.ld _let_15 _let_16)))) (let ((_let_18 (= tptp.op_f (tptp.mult tptp.unit (tptp.mult tptp.unit (tptp.ld _let_15 tptp.op_c)))))) (let ((_let_19 (= _let_13 _let_16))) (let ((_let_20 (= tptp.unit _let_15))) (let ((_let_21 (= tptp.op_c (tptp.mult tptp.unit (tptp.ld tptp.unit tptp.op_c))))) (let ((_let_22 (not _let_9))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 ((tptp.mult A B)))) (let ((_let_27 (_let_3))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (tptp.unit tptp.unit QUANTIFIERS_INST_ENUM))) (let ((_let_30 (_let_5))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (ASSUME :args (_let_2)))) (let ((_let_37 (and _let_2 _let_21 _let_20 _let_19 _let_18 _let_17 _let_14))) (let ((_let_38 (APPLY_UF tptp.mult))) (let ((_let_39 (REFL :args (tptp.x5)))) (let ((_let_40 (ASSUME :args (_let_18)))) (let ((_let_41 (APPLY_UF tptp.ld))) (let ((_let_42 (ASSUME :args (_let_20)))) (let ((_let_43 (SYMM _let_42))) (let ((_let_44 (REFL :args (tptp.unit)))) (let ((_let_45 (ASSUME :args (_let_21)))) (let ((_let_46 (ASSUME :args (_let_14)))) (let ((_let_47 (ASSUME :args (_let_19)))) (let ((_let_48 (ASSUME :args (_let_17)))) (let ((_let_49 (TRANS (TRANS (SYMM (SYMM _let_48)) (CONG _let_43 (SYMM _let_47) :args _let_41) (SYMM _let_46)) (TRANS (CONG _let_44 (TRANS (SYMM (SYMM _let_45)) (CONG _let_44 (CONG (SYMM _let_43) (REFL :args (tptp.op_c)) :args _let_41) :args _let_38)) :args _let_38) (SYMM _let_40))))) (let ((_let_50 (REFL :args (tptp.x4)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.x4 tptp.x5 QUANTIFIERS_INST_E_MATCHING ((tptp.mult A (tptp.mult tptp.op_c B))))) :args _let_10)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_37)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_40 _let_42 _let_45 _let_46 _let_47 _let_48 _let_36) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG _let_50 (CONG _let_49 _let_39 :args _let_38) :args _let_38) (CONG (CONG _let_50 _let_49 :args _let_38) _let_39 :args _let_38) :args (=)) (FALSE_INTRO _let_36))) :args (_let_18 _let_20 _let_21 _let_14 _let_19 _let_17 _let_2))) :args (_let_2 _let_21 _let_20 _let_19 _let_18 _let_17 _let_14))) :args (true _let_37)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_21))) (REFL :args ((not _let_20))) (REFL :args ((not _let_19))) (REFL :args ((not _let_18))) (REFL :args ((not _let_17))) (REFL :args ((not _let_14))) (REFL :args (_let_22)) :args (or))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.unit tptp.op_c QUANTIFIERS_INST_ENUM)) :args (_let_34))) _let_35 :args (_let_21 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.unit QUANTIFIERS_INST_ENUM)) :args (_let_32))) _let_33 :args (_let_20 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_29) :args _let_30)) _let_31 :args (_let_19 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args _let_29) :args _let_27)) _let_28 :args (_let_18 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_15 tptp.op_c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25)) _let_24 :args (_let_17 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.unit _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25)) _let_24 :args (_let_14 false _let_23)) :args (_let_22 true _let_1 false _let_21 false _let_20 false _let_19 false _let_18 false _let_17 false _let_14)) _let_11 :args (false true _let_9 false _let_4)) :args (_let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)) _let_6 (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))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult tptp.op_c (tptp.mult A B)) (tptp.mult (tptp.mult tptp.op_c A) B))) _let_5 _let_4 (forall ((A $$unsorted)) (= tptp.op_d (tptp.ld A (tptp.mult tptp.op_c A)))) (forall ((A $$unsorted) (B $$unsorted)) (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c (tptp.mult A B)) B) A))) _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.55  % SZS output end Proof for GRP704-12
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------