TSTP Solution File: ALG245-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG245-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 16:08:54 EDT 2023

% Result   : Unsatisfiable 22.03s 22.25s
% Output   : Proof 22.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : ALG245-1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13  % Command    : do_cvc5 %s %d
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Aug 28 03:34:28 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.16/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.46  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.yiNyvgz16h/cvc5---1.0.5_14954.p...
% 0.16/0.47  ------- get file name : TPTP file name is ALG245-1
% 0.16/0.47  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14954.smt2...
% 0.16/0.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.26/10.50  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.26/15.52  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.27/20.55  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.03/22.25  % SZS status Unsatisfiable for ALG245-1
% 22.03/22.25  % SZS output start Proof for ALG245-1
% 22.03/22.25  (
% 22.03/22.25  (let ((_let_1 (tptp.mult (tptp.mult tptp.a tptp.b) (tptp.mult tptp.c tptp.d)))) (let ((_let_2 (tptp.mult tptp.a tptp.c))) (let ((_let_3 (tptp.mult _let_2 (tptp.mult tptp.b tptp.d)))) (let ((_let_4 (tptp.mult _let_3 _let_1))) (let ((_let_5 (tptp.mult _let_1 _let_3))) (let ((_let_6 (= _let_5 _let_4))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.mult A A) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.mult (tptp.mult A B) (tptp.mult C D)))) (let ((_let_2 (tptp.mult (tptp.mult A C) (tptp.mult B D)))) (= (tptp.mult (tptp.mult _let_1 _let_2) _let_2) _let_1)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.mult (tptp.mult A C) (tptp.mult B D)))) (let ((_let_2 (tptp.mult (tptp.mult A B) (tptp.mult C D)))) (= (tptp.mult _let_2 (tptp.mult _let_2 _let_1)) _let_1)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) C) (tptp.mult (tptp.mult A C) (tptp.mult B C)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult A (tptp.mult B C)) (tptp.mult (tptp.mult A B) (tptp.mult A C)))))) (let ((_let_13 (tptp.mult _let_2 tptp.d))) (let ((_let_14 (tptp.mult _let_2 tptp.b))) (let ((_let_15 (tptp.mult _let_14 _let_13))) (let ((_let_16 (= _let_3 _let_15))) (let ((_let_17 (tptp.mult _let_3 _let_4))) (let ((_let_18 (= _let_1 _let_17))) (let ((_let_19 (tptp.mult _let_13 _let_13))) (let ((_let_20 (= _let_13 _let_19))) (let ((_let_21 (tptp.mult _let_5 _let_3))) (let ((_let_22 (= _let_1 _let_21))) (let ((_let_23 (tptp.mult _let_1 _let_5))) (let ((_let_24 (= _let_3 _let_23))) (let ((_let_25 (= (tptp.mult (tptp.mult _let_15 _let_3) _let_4) (tptp.mult (tptp.mult _let_15 _let_4) _let_17)))) (let ((_let_26 (= (tptp.mult _let_14 _let_19) (tptp.mult _let_15 _let_15)))) (let ((_let_27 (= (tptp.mult _let_23 _let_3) (tptp.mult _let_5 _let_21)))) (let ((_let_28 (= (tptp.mult _let_23 _let_1) (tptp.mult (tptp.mult _let_1 _let_1) (tptp.mult _let_5 _let_1))))) (let ((_let_29 (_let_12))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.mult (tptp.mult A C) (tptp.mult B D)))) (let ((_let_2 (tptp.mult (tptp.mult A B) (tptp.mult C D)))) (= _let_1 (tptp.mult _let_2 (tptp.mult _let_2 _let_1)))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 (forall ((A $$unsorted)) (= A (tptp.mult A A))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (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_37 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (tptp.a tptp.b tptp.c tptp.d QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_39 (_let_11))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (and _let_16 _let_18 _let_20 _let_22 _let_24 _let_25 _let_26 _let_27 _let_28))) (let ((_let_42 (APPLY_UF tptp.mult))) (let ((_let_43 (ASSUME :args (_let_24)))) (let ((_let_44 (ASSUME :args (_let_28)))) (let ((_let_45 (ASSUME :args (_let_22)))) (let ((_let_46 (ASSUME :args (_let_27)))) (let ((_let_47 (ASSUME :args (_let_16)))) (let ((_let_48 (SYMM _let_47))) (let ((_let_49 (CONG (REFL :args (_let_15)) _let_48 :args _let_42))) (let ((_let_50 (ASSUME :args (_let_26)))) (let ((_let_51 (SYMM (SYMM _let_50)))) (let ((_let_52 (ASSUME :args (_let_20)))) (let ((_let_53 (CONG (REFL :args (_let_14)) (SYMM (SYMM _let_52)) :args _let_42))) (let ((_let_54 (ASSUME :args (_let_18)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (REFL :args (_let_4)))) (let ((_let_57 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_43 _let_44 _let_54 _let_47 _let_57 _let_50 _let_52 _let_45 _let_46) (SCOPE (TRANS (CONG (TRANS _let_54 (CONG (TRANS _let_47 _let_53 _let_51 _let_49) _let_56 :args _let_42) (SYMM (SYMM _let_57)) (CONG (TRANS (CONG _let_48 _let_56 :args _let_42) _let_55) _let_55 :args _let_42)) (TRANS _let_47 _let_53 _let_51 _let_49 (CONG (TRANS _let_48 _let_43) (REFL :args (_let_3)) :args _let_42) (SYMM (SYMM _let_46)) (CONG (REFL :args (_let_5)) (SYMM _let_45) :args _let_42)) :args _let_42) (SYMM _let_44) (CONG (SYMM _let_43) (REFL :args (_let_1)) :args _let_42)) :args (_let_24 _let_28 _let_18 _let_16 _let_25 _let_26 _let_20 _let_22 _let_27))) :args (_let_16 _let_18 _let_20 _let_22 _let_24 _let_25 _let_26 _let_27 _let_28))) :args (true _let_41)) :args ((or _let_6 (not _let_16) (not _let_18) (not _let_20) (not _let_22) (not _let_24) (not _let_25) (not _let_26) (not _let_27) (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_1 _let_5 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_39)) _let_40 :args (_let_28 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_1 _let_5 _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_39)) _let_40 :args (_let_27 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_14 _let_13 _let_13 QUANTIFIERS_INST_CBQI_PROP)) :args _let_29)) _let_30 :args (_let_26 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_15 _let_3 _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_39)) _let_40 :args (_let_25 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_38) :args _let_33)) _let_32 :args (_let_24 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_38) :args (_let_36))) _let_37 :args (_let_22 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_13 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_34))) _let_35 :args (_let_20 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.a tptp.c tptp.b tptp.d QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_33)) _let_32 :args (_let_18 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_2 tptp.b tptp.d QUANTIFIERS_INST_CBQI_PROP)) :args _let_29)) _let_30 :args (_let_16 false _let_12)) (ASSUME :args (_let_7)) :args (false false _let_28 false _let_27 false _let_26 false _let_25 false _let_24 false _let_22 false _let_20 false _let_18 false _let_16 true _let_6)) :args (_let_12 _let_11 _let_10 _let_9 _let_8 _let_7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.03/22.25  )
% 22.03/22.26  % SZS output end Proof for ALG245-1
% 22.03/22.26  % cvc5---1.0.5 exiting
% 22.03/22.26  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------