TSTP Solution File: GRP682-10 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP682-10 : 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 00:27:09 EDT 2023

% Result   : Unsatisfiable 11.63s 11.81s
% Output   : Proof 11.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP682-10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n025.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 21:53:40 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SPGj884reA/cvc5---1.0.5_24405.p...
% 0.20/0.48  ------- get file name : TPTP file name is GRP682-10
% 0.20/0.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24405.smt2...
% 0.20/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.38/10.61  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.63/11.81  % SZS status Unsatisfiable for GRP682-10
% 11.63/11.81  % SZS output start Proof for GRP682-10
% 11.63/11.81  (
% 11.63/11.81  (let ((_let_1 (tptp.ld tptp.x0 tptp.x1))) (let ((_let_2 (tptp.ld _let_1 (tptp.mult _let_1 tptp.x2)))) (let ((_let_3 (= _let_2 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x2))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (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 ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) (tptp.ld A (tptp.mult A B)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.ld A (tptp.mult A A)) A)))) (let ((_let_8 (tptp.ld tptp.x0 (tptp.mult tptp.x0 tptp.x0)))) (let ((_let_9 (= tptp.x0 _let_8))) (let ((_let_10 (tptp.ld tptp.x0 tptp.x0))) (let ((_let_11 (tptp.mult tptp.x0 _let_10))) (let ((_let_12 (= _let_8 _let_11))) (let ((_let_13 (tptp.ld tptp.x2 (tptp.mult tptp.x2 tptp.x2)))) (let ((_let_14 (= tptp.x2 _let_13))) (let ((_let_15 (tptp.mult _let_1 _let_1))) (let ((_let_16 (tptp.ld _let_1 _let_15))) (let ((_let_17 (= _let_1 _let_16))) (let ((_let_18 (tptp.ld tptp.x2 tptp.x2))) (let ((_let_19 (tptp.mult tptp.x2 _let_18))) (let ((_let_20 (= _let_13 _let_19))) (let ((_let_21 (= (tptp.ld _let_1 (tptp.mult _let_1 _let_11)) (tptp.mult _let_8 _let_10)))) (let ((_let_22 (tptp.mult _let_2 _let_18))) (let ((_let_23 (= _let_22 (tptp.ld _let_16 (tptp.mult _let_16 _let_19))))) (let ((_let_24 (tptp.mult _let_1 tptp.x0))) (let ((_let_25 (tptp.ld _let_1 _let_24))) (let ((_let_26 (= _let_22 (tptp.ld _let_25 (tptp.mult _let_25 _let_19))))) (let ((_let_27 (ASSUME :args (_let_4)))) (let ((_let_28 (forall ((A $$unsorted)) (= A (tptp.ld A (tptp.mult A A)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 (_let_6))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (_let_5))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (and _let_4 _let_9 _let_12 _let_14 _let_17 _let_20 _let_21 _let_23))) (let ((_let_36 (APPLY_UF tptp.ld))) (let ((_let_37 (APPLY_UF tptp.mult))) (let ((_let_38 (ASSUME :args (_let_14)))) (let ((_let_39 (ASSUME :args (_let_20)))) (let ((_let_40 (TRANS (SYMM _let_39) (SYMM _let_38)))) (let ((_let_41 (ASSUME :args (_let_9)))) (let ((_let_42 (SYMM _let_41))) (let ((_let_43 (ASSUME :args (_let_12)))) (let ((_let_44 (ASSUME :args (_let_21)))) (let ((_let_45 (REFL :args (_let_1)))) (let ((_let_46 (TRANS (CONG _let_45 (CONG _let_45 (TRANS _let_41 _let_43) :args _let_37) :args _let_36) (SYMM (SYMM _let_44)) (CONG _let_42 (REFL :args (_let_10)) :args _let_37) (SYMM _let_43) _let_42))) (let ((_let_47 (ASSUME :args (_let_17)))) (let ((_let_48 (SYMM _let_47))) (let ((_let_49 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_35)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_27 _let_47 _let_38 _let_39 _let_49 _let_41 _let_43 _let_44) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_49)) (CONG _let_48 (CONG _let_48 _let_40 :args _let_37) :args _let_36)) (CONG _let_46 (CONG _let_46 _let_40 :args _let_37) :args _let_36) :args (=)) (FALSE_INTRO _let_27))) :args (_let_4 _let_17 _let_14 _let_20 _let_23 _let_9 _let_12 _let_21))) :args (_let_4 _let_9 _let_12 _let_14 _let_17 _let_20 _let_21 _let_23))) :args (true _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_9))) (REFL :args ((not _let_12))) (REFL :args ((not _let_14))) (REFL :args ((not _let_17))) (REFL :args ((not _let_20))) (REFL :args ((not _let_21))) (REFL :args ((not _let_23))) (REFL :args ((not _let_26))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_1 _let_24 tptp.x2 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33))) _let_34 :args (_let_26 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_1 _let_15 tptp.x2 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33))) _let_34 :args (_let_23 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.x0 tptp.x1 tptp.x0 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33)) _let_34 :args (_let_21 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.x2 tptp.x2 QUANTIFIERS_INST_ENUM)) :args _let_31))) _let_32 :args (_let_20 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args _let_30)) _let_29 :args (_let_17 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.x2 QUANTIFIERS_INST_ENUM)) :args _let_30)) _let_29 :args (_let_14 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.x0 tptp.x0 QUANTIFIERS_INST_ENUM)) :args _let_31))) _let_32 :args (_let_12 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.x0 QUANTIFIERS_INST_ENUM)) :args _let_30)) _let_29 :args (_let_9 false _let_28)) _let_27 :args (false false _let_26 false _let_23 false _let_21 false _let_20 false _let_17 false _let_14 false _let_12 false _let_9 true _let_3)) :args (_let_7 (forall ((A $$unsorted)) (= (tptp.rd (tptp.mult A A) A) A)) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) (tptp.rd (tptp.mult A B) B))) _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.rd C D))) (= (tptp.rd (tptp.mult (tptp.mult A B) _let_1) _let_1) (tptp.mult A (tptp.rd (tptp.mult B D) D))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A (tptp.ld B B))) (tptp.rd (tptp.mult (tptp.rd A A) B) B))) _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.63/11.81  )
% 11.63/11.81  % SZS output end Proof for GRP682-10
% 11.63/11.82  % cvc5---1.0.5 exiting
% 11.63/11.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------