TSTP Solution File: CSR139^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CSR139^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 21:07:12 EDT 2023
% Result : Theorem 0.46s 0.66s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR139^1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 14:03:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TH0
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 % File : CSR139^1 : TPTP v8.1.2. Released v4.1.0.
% 0.21/0.51 % Domain : Commonsense Reasoning
% 0.21/0.51 % Problem : Different feelings from people to Bill and Anna
% 0.21/0.51 % Version : Especial.
% 0.21/0.51 % English : Do there exists different relations ?R and ?Q so that ?R holds
% 0.21/0.51 % between a person ?Y and Bill and ?Q between ?Y and Anna.
% 0.21/0.51
% 0.21/0.51 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.21/0.51 % Source : [Ben10]
% 0.21/0.51 % Names : rv_5.tq_SUMO_local [Ben10]
% 0.21/0.51
% 0.21/0.51 % Status : Theorem
% 0.21/0.51 % Rating : 0.23 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v6.1.0, 0.57 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.0.0, 0.60 v4.1.0
% 0.21/0.51 % Syntax : Number of formulae : 20 ( 7 unt; 9 typ; 0 def)
% 0.21/0.51 % Number of atoms : 15 ( 1 equ; 4 cnn)
% 0.21/0.51 % Maximal formula atoms : 2 ( 1 avg)
% 0.21/0.51 % Number of connectives : 34 ( 4 ~; 0 |; 2 &; 28 @)
% 0.21/0.51 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.51 % Maximal formula depth : 8 ( 4 avg)
% 0.21/0.51 % Number of types : 3 ( 1 usr)
% 0.21/0.51 % Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% 0.21/0.51 % Number of symbols : 10 ( 8 usr; 7 con; 0-2 aty)
% 0.21/0.51 % Number of variables : 3 ( 0 ^; 0 !; 3 ?; 3 :)
% 0.21/0.51 % SPC : TH0_THM_EQU_NAR
% 0.21/0.51
% 0.21/0.51 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.21/0.51 % Initally the problem has been hand generated in KIF syntax in
% 0.21/0.51 % SigmaKEE and then automatically translated by Benzmueller's
% 0.21/0.51 % KIF2TH0 translator into THF syntax.
% 0.21/0.51 % : The translation has been applied in two modes: local and SInE.
% 0.21/0.51 % The local mode only translates the local assumptions and the
% 0.21/0.51 % query. The SInE mode additionally translates the SInE-extract
% 0.21/0.51 % of the loaded knowledge base (usually SUMO).
% 0.21/0.51 % : The examples are selected to illustrate the benefits of
% 0.21/0.51 % higher-order reasoning in ontology reasoning.
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 %----The extracted signature
% 0.21/0.51 thf(numbers,type,
% 0.21/0.51 num: $tType ).
% 0.21/0.51
% 0.21/0.51 thf(lAnna_THFTYPE_i,type,
% 0.21/0.51 lAnna_THFTYPE_i: $i ).
% 0.21/0.51
% 0.21/0.51 thf(lBen_THFTYPE_i,type,
% 0.21/0.51 lBen_THFTYPE_i: $i ).
% 0.21/0.51
% 0.21/0.51 thf(lBill_THFTYPE_i,type,
% 0.21/0.51 lBill_THFTYPE_i: $i ).
% 0.21/0.51
% 0.21/0.51 thf(lBob_THFTYPE_i,type,
% 0.21/0.51 lBob_THFTYPE_i: $i ).
% 0.21/0.51
% 0.21/0.51 thf(lMary_THFTYPE_i,type,
% 0.21/0.51 lMary_THFTYPE_i: $i ).
% 0.21/0.51
% 0.21/0.51 thf(lSue_THFTYPE_i,type,
% 0.21/0.51 lSue_THFTYPE_i: $i ).
% 0.21/0.51
% 0.21/0.51 thf(likes_THFTYPE_IiioI,type,
% 0.21/0.51 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.21/0.51
% 0.21/0.51 thf(parent_THFTYPE_IiioI,type,
% 0.21/0.51 parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.21/0.51
% 0.21/0.51 %----The translated axioms
% 0.21/0.51 thf(ax,axiom,
% 0.21/0.51 likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.21/0.51
% 0.21/0.51 thf(ax_001,axiom,
% 0.21/0.51 (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.21/0.51
% 0.21/0.51 thf(ax_002,axiom,
% 0.21/0.51 likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.21/0.51
% 0.21/0.51 thf(ax_003,axiom,
% 0.21/0.51 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.21/0.51
% 0.21/0.51 thf(ax_004,axiom,
% 0.21/0.51 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.21/0.51
% 0.21/0.51 thf(ax_005,axiom,
% 0.21/0.51 (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.21/0.51
% 0.21/0.51 thf(ax_006,axiom,
% 0.21/0.51 likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.21/0.51
% 0.21/0.51 thf(ax_007,axiom,
% 0.21/0.51 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.21/0.51
% 0.21/0.51 thf(ax_008,axiom,
% 0.21/0.51 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.21/0.51
% 0.21/0.51 thf(ax_009,axiom,
% 0.21/0.51 (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.21/0.51
% 0.21/0.51 %----The translated conjecture
% 0.21/0.51 thf(con,conjecture,
% 0.21/0.51 ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
% 0.21/0.51 ( ( R @ Y @ lBill_THFTYPE_i )
% 0.21/0.51 & ( Q @ Y @ lAnna_THFTYPE_i )
% 0.21/0.51 & ( (~) @ ( R = Q ) ) ) ).
% 0.21/0.51
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4EzSXbfFyM/cvc5---1.0.5_23552.p...
% 0.21/0.51 (declare-sort $$unsorted 0)
% 0.21/0.51 (declare-sort tptp.num 0)
% 0.21/0.51 (declare-fun tptp.lAnna_THFTYPE_i () $$unsorted)
% 0.46/0.66 (declare-fun tptp.lBen_THFTYPE_i () $$unsorted)
% 0.46/0.66 (declare-fun tptp.lBill_THFTYPE_i () $$unsorted)
% 0.46/0.66 (declare-fun tptp.lBob_THFTYPE_i () $$unsorted)
% 0.46/0.66 (declare-fun tptp.lMary_THFTYPE_i () $$unsorted)
% 0.46/0.66 (declare-fun tptp.lSue_THFTYPE_i () $$unsorted)
% 0.46/0.66 (declare-fun tptp.likes_THFTYPE_IiioI ($$unsorted $$unsorted) Bool)
% 0.46/0.66 (declare-fun tptp.parent_THFTYPE_IiioI ($$unsorted $$unsorted) Bool)
% 0.46/0.66 (assert (@ (@ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.46/0.66 (assert (not (@ (@ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lMary_THFTYPE_i)))
% 0.46/0.66 (assert (@ (@ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.46/0.66 (assert (@ (@ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBen_THFTYPE_i))
% 0.46/0.66 (assert (@ (@ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBen_THFTYPE_i))
% 0.46/0.66 (assert (not (@ (@ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBen_THFTYPE_i)))
% 0.46/0.66 (assert (@ (@ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.46/0.66 (assert (@ (@ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lAnna_THFTYPE_i))
% 0.46/0.66 (assert (@ (@ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lAnna_THFTYPE_i))
% 0.46/0.66 (assert (not (@ (@ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lAnna_THFTYPE_i)))
% 0.46/0.66 (assert (not (exists ((Q (-> $$unsorted $$unsorted Bool)) (R (-> $$unsorted $$unsorted Bool)) (Y $$unsorted)) (and (@ (@ R Y) tptp.lBill_THFTYPE_i) (@ (@ Q Y) tptp.lAnna_THFTYPE_i) (not (= R Q))))))
% 0.46/0.66 (set-info :filename cvc5---1.0.5_23552)
% 0.46/0.66 (check-sat-assuming ( true ))
% 0.46/0.66 ------- get file name : TPTP file name is CSR139^1
% 0.46/0.66 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23552.smt2...
% 0.46/0.66 --- Run --ho-elim --full-saturate-quant at 10...
% 0.46/0.66 % SZS status Theorem for CSR139^1
% 0.46/0.66 % SZS output start Proof for CSR139^1
% 0.46/0.66 (
% 0.46/0.66 (let ((_let_1 (not (exists ((Q (-> $$unsorted $$unsorted Bool)) (R (-> $$unsorted $$unsorted Bool)) (Y $$unsorted)) (and (@ (@ R Y) tptp.lBill_THFTYPE_i) (@ (@ Q Y) tptp.lAnna_THFTYPE_i) (not (= R Q))))))) (let ((_let_2 (@ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i))) (let ((_let_3 (not (@ _let_2 tptp.lAnna_THFTYPE_i)))) (let ((_let_4 (@ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i))) (let ((_let_5 (@ _let_4 tptp.lAnna_THFTYPE_i))) (let ((_let_6 (@ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i))) (let ((_let_7 (@ _let_6 tptp.lAnna_THFTYPE_i))) (let ((_let_8 (@ (@ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))) (let ((_let_9 (@ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i))) (let ((_let_10 (not (@ _let_9 tptp.lMary_THFTYPE_i)))) (let ((_let_11 (@ _let_9 tptp.lBill_THFTYPE_i))) (let ((_let_12 (ho_4 (ho_3 k_5 tptp.lSue_THFTYPE_i) tptp.lAnna_THFTYPE_i))) (let ((_let_13 (ho_3 k_5 tptp.lBob_THFTYPE_i))) (let ((_let_14 (ho_4 _let_13 tptp.lAnna_THFTYPE_i))) (let ((_let_15 (= k_2 k_5))) (let ((_let_16 (= k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_17 (ho_3 k_2 tptp.lSue_THFTYPE_i))) (let ((_let_18 (= _let_17 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 tptp.lBill_THFTYPE_i)))) (let ((_let_19 (ho_3 k_2 tptp.lMary_THFTYPE_i))) (let ((_let_20 (= _let_19 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 tptp.lBill_THFTYPE_i)))) (let ((_let_21 (= k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53))) (let ((_let_22 (= _let_13 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 tptp.lBill_THFTYPE_i)))) (let ((_let_23 (= k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_7)) (PREPROCESS :args ((= _let_7 _let_12)))))) (let ((_let_25 (not _let_14))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_3)) (PREPROCESS :args ((= _let_3 _let_25)))))) (let ((_let_27 (not _let_12))) (let ((_let_28 (ho_4 _let_17 tptp.lBill_THFTYPE_i))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_15))) (let ((_let_31 (forall ((BOUND_VARIABLE_667 |u_(-> $$unsorted $$unsorted Bool)|) (BOUND_VARIABLE_666 |u_(-> $$unsorted $$unsorted Bool)|) (Y $$unsorted)) (or (not (ho_4 (ho_3 BOUND_VARIABLE_666 Y) tptp.lBill_THFTYPE_i)) (not (ho_4 (ho_3 BOUND_VARIABLE_667 Y) tptp.lAnna_THFTYPE_i)) (= BOUND_VARIABLE_666 BOUND_VARIABLE_667))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Q (-> $$unsorted $$unsorted Bool)) (R (-> $$unsorted $$unsorted Bool)) (Y $$unsorted)) (or (not (@ (@ R Y) tptp.lBill_THFTYPE_i)) (not (@ (@ Q Y) tptp.lAnna_THFTYPE_i)) (= Q R))) _let_31))))))) (let ((_let_33 (_let_31))) (let ((_let_34 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_35 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_36 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_37 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_11)) (PREPROCESS :args ((= _let_11 _let_28)))))) (let ((_let_39 (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_38 (PREPROCESS :args ((and _let_37 _let_36 _let_35 _let_34)))) :args ((and _let_28 _let_37 _let_36 _let_35 _let_34))))) (let ((_let_40 (AND_ELIM _let_39 :args (0)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_27 _let_15 (not _let_30)))) _let_40 _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (k_5 k_2 tptp.lSue_THFTYPE_i QUANTIFIERS_INST_CBQI_PROP)) :args _let_33)) _let_32 :args (_let_30 false _let_31)) :args (_let_15 false _let_28 false _let_12 false _let_30)))) (let ((_let_42 (ho_4 _let_19 tptp.lAnna_THFTYPE_i))) (let ((_let_43 (not _let_42))) (let ((_let_44 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 tptp.lMary_THFTYPE_i))) (let ((_let_45 (ho_4 _let_44 tptp.lBill_THFTYPE_i))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_43 _let_16))) (let ((_let_48 (ho_4 (ho_3 k_5 tptp.lMary_THFTYPE_i) tptp.lAnna_THFTYPE_i))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_5)) (PREPROCESS :args ((= _let_5 _let_48)))))) (let ((_let_50 (and _let_48 _let_15))) (let ((_let_51 (_let_48 _let_15))) (let ((_let_52 (APPLY_UF ho_4))) (let ((_let_53 (REFL :args (tptp.lAnna_THFTYPE_i)))) (let ((_let_54 (APPLY_UF ho_3))) (let ((_let_55 (ASSUME :args (_let_15)))) (let ((_let_56 (SYMM (SYMM _let_55)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_49 _let_55) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG _let_56 (REFL :args (tptp.lMary_THFTYPE_i)) :args _let_54) _let_53 :args _let_52) (TRUE_INTRO _let_49))) :args _let_51)) :args _let_51)) :args (true _let_50)) _let_49 _let_41 :args (_let_42 false _let_48 false _let_15)))) (let ((_let_58 (= _let_19 termITE_24))) (let ((_let_59 (= _let_44 termITE_24))) (let ((_let_60 (ho_4 _let_19 tptp.lBill_THFTYPE_i))) (let ((_let_61 (= tptp.lBill_THFTYPE_i tptp.lMary_THFTYPE_i))) (let ((_let_62 (ho_4 _let_17 tptp.lMary_THFTYPE_i))) (let ((_let_63 (not _let_61))) (let ((_let_64 (not _let_62))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_10)) (PREPROCESS :args ((= _let_10 _let_64)))))) (let ((_let_66 (or))) (let ((_let_67 (TRUE_INTRO _let_38))) (let ((_let_68 (ASSUME :args (_let_61)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_38 _let_68 _let_65) :args (_let_28 _let_64 _let_61)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_65)) (CONG (REFL :args (_let_17)) (SYMM _let_68) :args _let_52) _let_67)) :args (_let_28 _let_61 _let_64)) :args ((not (and _let_28 _let_64 _let_61)) SB_LITERAL))) (CONG (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_62))) (REFL :args (_let_63)) :args _let_66)) :args ((or _let_62 _let_29 _let_63))) _let_65 _let_40 :args (_let_63 true _let_62 false _let_28)))) (let ((_let_70 ((ite _let_61 (= termITE_24 _let_17) (= termITE_24 _let_19))))) (let ((_let_71 (ite _let_61 _let_17 _let_19))) (let ((_let_72 (MACRO_SR_PRED_INTRO :args ((= _let_71 termITE_24))))) (let ((_let_73 (forall ((ii $$unsorted)) (= (ite (= tptp.lBill_THFTYPE_i ii) (ho_3 k_2 tptp.lSue_THFTYPE_i) (ho_3 k_2 ii)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 ii))))) (let ((_let_74 (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= tptp.lBill_THFTYPE_i ii) (ho_3 k_2 tptp.lSue_THFTYPE_i) (ho_3 k_2 ii)))))))) (let ((_let_75 (not _let_74))) (let ((_let_76 (AND_ELIM _let_39 :args (2)))) (let ((_let_77 (_let_36))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (_let_73))) (let ((_let_80 (REFL :args _let_79))) (let ((_let_81 (_let_75))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_81)) :args _let_81) (REWRITE :args ((=> _let_75 (not (not (forall ((ii $$unsorted)) (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 ii) (ite (= tptp.lBill_THFTYPE_i ii) (ho_3 k_2 tptp.lSue_THFTYPE_i) (ho_3 k_2 ii))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) _let_80 :args _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (k_2 _let_17 tptp.lBill_THFTYPE_i QUANTIFIERS_INST_ENUM)) :args _let_77)) _let_76 :args (_let_75 false _let_36)) :args (_let_73 true _let_74)))) (let ((_let_83 (=>))) (let ((_let_84 (=))) (let ((_let_85 ((ho_3 k_2 ii)))) (let ((_let_86 (tptp.lMary_THFTYPE_i QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85))) (let ((_let_87 (ASSUME :args _let_79))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_8)) (PREPROCESS :args ((= _let_8 _let_60)))))) (let ((_let_89 (and _let_60 _let_59 _let_58))) (let ((_let_90 (TRUE_INTRO _let_88))) (let ((_let_91 (REFL :args (tptp.lBill_THFTYPE_i)))) (let ((_let_92 (ASSUME :args (_let_58)))) (let ((_let_93 (ASSUME :args (_let_59)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_16 _let_46 _let_43 (not _let_47)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_92 _let_93) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_93)) (SYMM _let_92)) _let_91 :args _let_52) _let_90)) :args (_let_60 _let_58 _let_59))) :args (_let_60 _let_59 _let_58))) :args (true _let_89)) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_87 :args _let_86) :args _let_79) (CONG _let_80 (TRANS (CONG _let_72 (REFL :args (_let_44)) :args _let_84) (REWRITE :args ((= termITE_24 _let_44)))) :args _let_83))) _let_82 :args (_let_59 false _let_73)) (MACRO_RESOLUTION_TRUST (ITE_ELIM2 (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (REMOVE_TERM_FORMULA_AXIOM :args (_let_71)) _let_72 :args _let_70) (REWRITE :args _let_70))) _let_69 :args (_let_58 true _let_61)) :args (_let_45 false _let_60 false _let_59 false _let_58)) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 tptp.lMary_THFTYPE_i QUANTIFIERS_INST_CBQI_PROP)) :args _let_33))) _let_32 :args (_let_47 false _let_31)) :args (_let_16 false _let_45 false _let_42 false _let_47)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.lBill_THFTYPE_i QUANTIFIERS_INST_ENUM)) :args _let_79))) _let_82 :args (_let_18 false _let_73)))) (let ((_let_96 (forall ((ii $$unsorted)) (= (ite (= tptp.lBill_THFTYPE_i ii) (ho_3 k_2 tptp.lMary_THFTYPE_i) (ho_3 k_2 ii)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 ii))))) (let ((_let_97 (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= tptp.lBill_THFTYPE_i ii) (ho_3 k_2 tptp.lMary_THFTYPE_i) (ho_3 k_2 ii)))))))) (let ((_let_98 (not _let_97))) (let ((_let_99 (_let_96))) (let ((_let_100 (_let_98))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_100)) :args _let_100) (REWRITE :args ((=> _let_98 (not (not (forall ((ii $$unsorted)) (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 ii) (ite (= tptp.lBill_THFTYPE_i ii) (ho_3 k_2 tptp.lMary_THFTYPE_i) (ho_3 k_2 ii))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_97))) (REFL :args _let_99) :args _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (k_2 _let_19 tptp.lBill_THFTYPE_i QUANTIFIERS_INST_ENUM)) :args _let_77)) _let_76 :args (_let_98 false _let_36)) :args (_let_96 true _let_97)))) (let ((_let_102 (tptp.lBill_THFTYPE_i QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85))) (let ((_let_103 (ASSUME :args _let_99))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_103 :args _let_102) :args _let_99))) _let_101 :args (_let_20 false _let_96)))) (let ((_let_105 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 tptp.lMary_THFTYPE_i))) (let ((_let_106 (ho_4 _let_105 tptp.lBill_THFTYPE_i))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_43 _let_21))) (let ((_let_109 (= _let_19 _let_105))) (let ((_let_110 (and _let_60 _let_109))) (let ((_let_111 (_let_60 _let_109))) (let ((_let_112 (ASSUME :args (_let_109)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_43 _let_21 _let_107 (not _let_108)))) _let_57 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_112) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_112) _let_91 :args _let_52) _let_90)) :args _let_111)) :args _let_111)) :args (true _let_110)) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_103 :args _let_86) :args _let_99))) _let_101 :args (_let_109 false _let_96)) :args (_let_106 false _let_60 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 tptp.lMary_THFTYPE_i QUANTIFIERS_INST_CBQI_PROP)) :args _let_33))) _let_32 :args (_let_108 false _let_31)) :args (_let_21 false _let_42 false _let_106 false _let_108)))) (let ((_let_114 (forall ((ii $$unsorted)) (= (ite (= tptp.lBill_THFTYPE_i ii) (ho_3 k_5 tptp.lBob_THFTYPE_i) (ho_3 k_2 ii)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 ii))))) (let ((_let_115 (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= tptp.lBill_THFTYPE_i ii) (ho_3 k_5 tptp.lBob_THFTYPE_i) (ho_3 k_2 ii)))))))) (let ((_let_116 (not _let_115))) (let ((_let_117 (_let_114))) (let ((_let_118 (REFL :args _let_117))) (let ((_let_119 (_let_116))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_119)) :args _let_119) (REWRITE :args ((=> _let_116 (not (not (forall ((ii $$unsorted)) (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 ii) (ite (= tptp.lBill_THFTYPE_i ii) (ho_3 k_5 tptp.lBob_THFTYPE_i) (ho_3 k_2 ii))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_116) _let_115))) _let_118 :args _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (k_2 _let_13 tptp.lBill_THFTYPE_i QUANTIFIERS_INST_ENUM)) :args _let_77)) _let_76 :args (_let_116 false _let_36)) :args (_let_114 true _let_115)))) (let ((_let_121 (ASSUME :args _let_117))) (let ((_let_122 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 tptp.lMary_THFTYPE_i))) (let ((_let_123 (ho_4 _let_122 tptp.lBill_THFTYPE_i))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_43 _let_23))) (let ((_let_126 (= _let_19 termITE_81))) (let ((_let_127 (= _let_122 termITE_81))) (let ((_let_128 ((ite _let_61 (= termITE_81 _let_13) (= termITE_81 _let_19))))) (let ((_let_129 (ite _let_61 _let_13 _let_19))) (let ((_let_130 (MACRO_SR_PRED_INTRO :args ((= _let_129 termITE_81))))) (let ((_let_131 (and _let_28 _let_16 _let_18 _let_20 _let_21 _let_127 _let_126))) (let ((_let_132 (ASSUME :args (_let_18)))) (let ((_let_133 (ASSUME :args (_let_16)))) (let ((_let_134 (SYMM _let_133))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (ASSUME :args (_let_21)))) (let ((_let_137 (CONG (TRANS (SYMM _let_136) _let_135) _let_91 :args _let_54))) (let ((_let_138 (ASSUME :args (_let_20)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (TRANS (SYMM _let_139) _let_137 (SYMM _let_132)))) (let ((_let_141 (ASSUME :args (_let_126)))) (let ((_let_142 (ASSUME :args (_let_127)))) (let ((_let_143 (not _let_23))) (let ((_let_144 (not _let_22))) (let ((_let_145 (not _let_21))) (let ((_let_146 (not _let_20))) (let ((_let_147 (not _let_18))) (let ((_let_148 (not _let_16))) (let ((_let_149 (not _let_15))) (let ((_let_150 (ASSUME :args (_let_23)))) (let ((_let_151 (ASSUME :args (_let_22)))) (let ((_let_152 (REFL :args (tptp.lBob_THFTYPE_i)))) (let ((_let_153 (CONG (TRANS _let_134 _let_56) _let_152 :args _let_54))) (let ((_let_154 (CONG _let_56 _let_152 :args _let_54))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_24 _let_55 _let_132 _let_133 _let_136 _let_138 _let_150 _let_151 _let_26) :args (_let_12 _let_25 _let_15 _let_16 _let_18 _let_20 _let_21 _let_22 _let_23)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_26)) (CONG (TRANS (SYMM _let_154) (TRANS _let_154 (SYMM _let_153)) (TRANS _let_153 (SYMM (SYMM _let_151)) (CONG (TRANS (SYMM _let_150) _let_135) _let_91 :args _let_54) (SYMM _let_137) _let_139) _let_140 (CONG _let_56 (REFL :args (tptp.lSue_THFTYPE_i)) :args _let_54)) _let_53 :args _let_52) (TRUE_INTRO _let_24))) :args (_let_12 _let_15 _let_18 _let_16 _let_21 _let_20 _let_23 _let_22 _let_25)) :args ((not (and _let_12 _let_25 _let_15 _let_16 _let_18 _let_20 _let_21 _let_22 _let_23)) SB_LITERAL))) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_14))) (REFL :args (_let_149)) (REFL :args (_let_148)) (REFL :args (_let_147)) (REFL :args (_let_146)) (REFL :args (_let_145)) (REFL :args (_let_144)) (REFL :args (_let_143)) :args _let_66)) :args ((or _let_14 _let_27 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_43 _let_23 _let_124 (not _let_125)))) _let_57 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_38 _let_132 _let_133 _let_136 _let_138 _let_141 _let_142) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS (SYMM (SYMM _let_142)) (SYMM _let_141)) _let_140) _let_91 :args _let_52) _let_67)) :args (_let_28 _let_18 _let_16 _let_21 _let_20 _let_126 _let_127))) :args (_let_28 _let_16 _let_18 _let_20 _let_21 _let_127 _let_126))) :args (true _let_131)) _let_40 _let_94 _let_95 _let_104 _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_121 :args _let_86) :args _let_117) (CONG _let_118 (TRANS (CONG _let_130 (REFL :args (_let_122)) :args _let_84) (REWRITE :args ((= termITE_81 _let_122)))) :args _let_83))) _let_120 :args (_let_127 false _let_114)) (MACRO_RESOLUTION_TRUST (ITE_ELIM2 (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (REMOVE_TERM_FORMULA_AXIOM :args (_let_129)) _let_130 :args _let_128) (REWRITE :args _let_128))) _let_69 :args (_let_126 true _let_61)) :args (_let_123 false _let_28 false _let_16 false _let_18 false _let_20 false _let_21 false _let_127 false _let_126)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 tptp.lMary_THFTYPE_i QUANTIFIERS_INST_CBQI_PROP)) :args _let_33))) _let_32 :args (_let_125 false _let_31)) :args (_let_23 false _let_42 false _let_123 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_102) :args _let_117))) _let_120 :args (_let_22 false _let_114)) _let_113 _let_104 _let_95 _let_94 _let_41 _let_26 _let_24 :args (false false _let_23 false _let_22 false _let_21 false _let_20 false _let_18 false _let_16 false _let_15 true _let_14 false _let_12)) :args (_let_11 _let_10 _let_8 (@ _let_4 tptp.lBen_THFTYPE_i) (@ _let_6 tptp.lBen_THFTYPE_i) (not (@ _let_2 tptp.lBen_THFTYPE_i)) (@ (@ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i) _let_7 _let_5 _let_3 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.46/0.66 )
% 0.46/0.66 % SZS output end Proof for CSR139^1
% 0.46/0.66 % cvc5---1.0.5 exiting
% 0.46/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------