TSTP Solution File: CSR131^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CSR131^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 21:07:08 EDT 2023
% Result : Theorem 0.21s 0.56s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : CSR131^1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n022.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 : Mon Aug 28 13:13:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 % File : CSR131^1 : TPTP v8.1.2. Released v4.1.0.
% 0.21/0.50 % Domain : Commonsense Reasoning
% 0.21/0.50 % Problem : In 2009, what's the feeling for Bill and Anna?
% 0.21/0.50 % Version : Especial.
% 0.21/0.50 % English : In the context of year 2009: Do there exist relations ?R and ?Q
% 0.21/0.50 % so that ?R holds between a person ?Y and Bill and ?Q between ?Y
% 0.21/0.50 % and Anna.
% 0.21/0.50
% 0.21/0.50 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.21/0.50 % Source : [Ben10]
% 0.21/0.50 % Names : ef_rv_3.tq_SUMO_local [Ben10]
% 0.21/0.50
% 0.21/0.50 % Status : Theorem
% 0.21/0.50 % Rating : 0.27 v8.1.0, 0.33 v7.3.0, 0.30 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.50 v6.4.0, 0.57 v6.3.0, 0.67 v6.2.0, 0.50 v6.1.0, 0.83 v6.0.0, 0.67 v5.5.0, 0.60 v5.4.0, 0.50 v5.1.0, 0.75 v5.0.0, 0.50 v4.1.0
% 0.21/0.50 % Syntax : Number of formulae : 23 ( 0 unt; 12 typ; 0 def)
% 0.21/0.50 % Number of atoms : 26 ( 0 equ; 5 cnn)
% 0.21/0.50 % Maximal formula atoms : 3 ( 2 avg)
% 0.21/0.50 % Number of connectives : 74 ( 5 ~; 0 |; 3 &; 66 @)
% 0.21/0.50 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.50 % Maximal formula depth : 13 ( 5 avg)
% 0.21/0.50 % Number of types : 3 ( 1 usr)
% 0.21/0.50 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.21/0.50 % Number of symbols : 12 ( 11 usr; 8 con; 0-2 aty)
% 0.21/0.50 % Number of variables : 7 ( 0 ^; 4 !; 3 ?; 7 :)
% 0.21/0.50 % SPC : TH0_THM_NEQ_NAR
% 0.21/0.50
% 0.21/0.50 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.21/0.50 % Initally the problem has been hand generated in KIF syntax in
% 0.21/0.50 % SigmaKEE and then automatically translated by Benzmueller's
% 0.21/0.50 % KIF2TH0 translator into THF syntax.
% 0.21/0.50 % : The translation has been applied in two modes: local and SInE.
% 0.21/0.50 % The local mode only translates the local assumptions and the
% 0.21/0.50 % query. The SInE mode additionally translates the SInE-extract
% 0.21/0.50 % of the loaded knowledge base (usually SUMO).
% 0.21/0.50 % : The examples are selected to illustrate the benefits of
% 0.21/0.50 % higher-order reasoning in ontology reasoning.
% 0.21/0.50 % : Note that the universal predicates is excluded for ?R and Q? with
% 0.21/0.50 % the second and third conjuncts in the query.
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 %----The extracted signature
% 0.21/0.50 thf(numbers,type,
% 0.21/0.50 num: $tType ).
% 0.21/0.50
% 0.21/0.50 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.21/0.50 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.21/0.50
% 0.21/0.50 thf(lAnna_THFTYPE_i,type,
% 0.21/0.50 lAnna_THFTYPE_i: $i ).
% 0.21/0.50
% 0.21/0.50 thf(lBen_THFTYPE_i,type,
% 0.21/0.50 lBen_THFTYPE_i: $i ).
% 0.21/0.50
% 0.21/0.50 thf(lBill_THFTYPE_i,type,
% 0.21/0.50 lBill_THFTYPE_i: $i ).
% 0.21/0.50
% 0.21/0.50 thf(lBob_THFTYPE_i,type,
% 0.21/0.50 lBob_THFTYPE_i: $i ).
% 0.21/0.50
% 0.21/0.50 thf(lMary_THFTYPE_i,type,
% 0.21/0.50 lMary_THFTYPE_i: $i ).
% 0.21/0.50
% 0.21/0.50 thf(lSue_THFTYPE_i,type,
% 0.21/0.50 lSue_THFTYPE_i: $i ).
% 0.21/0.50
% 0.21/0.50 thf(lYearFn_THFTYPE_IiiI,type,
% 0.21/0.50 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.21/0.50
% 0.21/0.50 thf(likes_THFTYPE_IiioI,type,
% 0.21/0.50 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(n2009_THFTYPE_i,type,
% 0.21/0.50 n2009_THFTYPE_i: $i ).
% 0.21/0.50
% 0.21/0.50 thf(parent_THFTYPE_IiioI,type,
% 0.21/0.50 parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.21/0.50
% 0.21/0.50 %----The translated axioms
% 0.21/0.50 thf(ax,axiom,
% 0.21/0.50 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.21/0.50
% 0.21/0.50 thf(ax_001,axiom,
% 0.21/0.50 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.21/0.50
% 0.21/0.50 thf(ax_002,axiom,
% 0.21/0.50 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(ax_003,axiom,
% 0.21/0.50 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.21/0.50
% 0.21/0.50 thf(ax_004,axiom,
% 0.21/0.50 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.21/0.50
% 0.21/0.50 thf(ax_005,axiom,
% 0.21/0.50 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( 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 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.21/0.51
% 0.21/0.51 thf(ax_007,axiom,
% 0.21/0.51 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( 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 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.21/0.51
% 0.21/0.51 thf(ax_009,axiom,
% 0.21/0.51 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.21/0.51 @ ( ( R @ Y @ lBill_THFTYPE_i )
% 0.21/0.51 & ( Q @ Y @ lAnna_THFTYPE_i )
% 0.21/0.51 & ( (~)
% 0.21/0.51 @ ! [A: $i,B: $i] : ( R @ A @ B ) )
% 0.21/0.51 & ( (~)
% 0.21/0.51 @ ! [A: $i,B: $i] : ( Q @ A @ B ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZNViS3Msoo/cvc5---1.0.5_17197.p...
% 0.21/0.51 (declare-sort $$unsorted 0)
% 0.21/0.51 (declare-sort tptp.num 0)
% 0.21/0.51 (declare-fun tptp.holdsDuring_THFTYPE_IiooI ($$unsorted Bool) Bool)
% 0.21/0.51 (declare-fun tptp.lAnna_THFTYPE_i () $$unsorted)
% 0.21/0.51 (declare-fun tptp.lBen_THFTYPE_i () $$unsorted)
% 0.21/0.51 (declare-fun tptp.lBill_THFTYPE_i () $$unsorted)
% 0.21/0.51 (declare-fun tptp.lBob_THFTYPE_i () $$unsorted)
% 0.21/0.51 (declare-fun tptp.lMary_THFTYPE_i () $$unsorted)
% 0.21/0.51 (declare-fun tptp.lSue_THFTYPE_i () $$unsorted)
% 0.21/0.51 (declare-fun tptp.lYearFn_THFTYPE_IiiI ($$unsorted) $$unsorted)
% 0.21/0.51 (declare-fun tptp.likes_THFTYPE_IiioI ($$unsorted $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.n2009_THFTYPE_i () $$unsorted)
% 0.21/0.51 (declare-fun tptp.parent_THFTYPE_IiioI ($$unsorted $$unsorted) Bool)
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lAnna_THFTYPE_i)))
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBen_THFTYPE_i)))
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (not (@ (@ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lAnna_THFTYPE_i))))
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i)))
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)))
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (not (@ (@ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBen_THFTYPE_i))))
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)))
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lAnna_THFTYPE_i)))
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBen_THFTYPE_i)))
% 0.21/0.51 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (not (@ (@ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lMary_THFTYPE_i))))
% 0.21/0.51 (assert (not (exists ((Q (-> $$unsorted $$unsorted Bool)) (R (-> $$unsorted $$unsorted Bool)) (Y $$unsorted)) (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (and (@ (@ R Y) tptp.lBill_THFTYPE_i) (@ (@ Q Y) tptp.lAnna_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (@ (@ R A) B))) (not (forall ((A $$unsorted) (B $$unsorted)) (@ (@ Q A) B))))))))
% 0.21/0.51 (set-info :filename cvc5---1.0.5_17197)
% 0.21/0.56 (check-sat-assuming ( true ))
% 0.21/0.56 ------- get file name : TPTP file name is CSR131^1
% 0.21/0.56 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17197.smt2...
% 0.21/0.56 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.56 % SZS status Theorem for CSR131^1
% 0.21/0.56 % SZS output start Proof for CSR131^1
% 0.21/0.56 (
% 0.21/0.56 (let ((_let_1 (not (exists ((Q (-> $$unsorted $$unsorted Bool)) (R (-> $$unsorted $$unsorted Bool)) (Y $$unsorted)) (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (and (@ (@ R Y) tptp.lBill_THFTYPE_i) (@ (@ Q Y) tptp.lAnna_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (@ (@ R A) B))) (not (forall ((A $$unsorted) (B $$unsorted)) (@ (@ Q A) B))))))))) (let ((_let_2 (@ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i))) (let ((_let_3 (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)))) (let ((_let_4 (@ _let_3 (not (@ _let_2 tptp.lMary_THFTYPE_i))))) (let ((_let_5 (@ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i))) (let ((_let_6 (@ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i))) (let ((_let_7 (@ _let_3 (@ _let_6 tptp.lAnna_THFTYPE_i)))) (let ((_let_8 (@ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i))) (let ((_let_9 (@ _let_3 (@ _let_2 tptp.lBill_THFTYPE_i)))) (let ((_let_10 (@ _let_3 (not (@ _let_8 tptp.lAnna_THFTYPE_i))))) (let ((_let_11 (@ _let_3 (@ _let_5 tptp.lAnna_THFTYPE_i)))) (let ((_let_12 (ho_8 k_7 (ho_6 k_5 tptp.n2009_THFTYPE_i)))) (let ((_let_13 (ho_9 _let_12 BOOLEAN_TERM_VARIABLE_935))) (let ((_let_14 (ho_9 _let_12 BOOLEAN_TERM_VARIABLE_1448))) (let ((_let_15 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_16 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_17 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_18 (forall ((x |u_(-> $$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_19 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_20 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_21 (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_22 (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_23 (forall ((u |u_(-> $$unsorted Bool Bool)|) (e |u_(-> Bool Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_24 (forall ((x |u_(-> $$unsorted Bool Bool)|) (y |u_(-> $$unsorted Bool Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_25 (APPLY_UF ho_9))) (let ((_let_26 (ho_3 k_2 tptp.lMary_THFTYPE_i))) (let ((_let_27 (ho_4 _let_26 tptp.lAnna_THFTYPE_i))) (let ((_let_28 (MACRO_SR_PRED_INTRO :args ((= _let_27 BOOLEAN_TERM_VARIABLE_935))))) (let ((_let_29 (REFL :args (_let_12)))) (let ((_let_30 (ho_9 _let_12 _let_27))) (let ((_let_31 (AND_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_11)) (PREPROCESS :args ((= _let_11 _let_30)))) (PREPROCESS :args ((and _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15)))) :args ((and _let_30 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15))) (CONG (CONG _let_29 _let_28 :args _let_25) (REFL :args (_let_24)) (REFL :args (_let_23)) (REFL :args (_let_22)) (REFL :args (_let_21)) (REFL :args (_let_20)) (REFL :args (_let_19)) (REFL :args (_let_18)) (REFL :args (_let_17)) (REFL :args (_let_16)) (REFL :args (_let_15)) :args (and))) :args (0)))) (let ((_let_32 (forall ((BOUND_VARIABLE_711 |u_(-> $$unsorted $$unsorted Bool)|) (BOUND_VARIABLE_716 |u_(-> $$unsorted $$unsorted Bool)|) (Y $$unsorted)) (not (ho_9 (ho_8 k_7 (ho_6 k_5 tptp.n2009_THFTYPE_i)) (and (ho_4 (ho_3 BOUND_VARIABLE_716 Y) tptp.lBill_THFTYPE_i) (ho_4 (ho_3 BOUND_VARIABLE_711 Y) tptp.lAnna_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (ho_4 (ho_3 BOUND_VARIABLE_716 A) B))) (not (forall ((A $$unsorted) (B $$unsorted)) (ho_4 (ho_3 BOUND_VARIABLE_711 A) B))))))))) (let ((_let_33 (not _let_14))) (let ((_let_34 (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 $$unsorted)) (not (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (and (@ (@ R Y) tptp.lBill_THFTYPE_i) (@ (@ Q Y) tptp.lAnna_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (@ (@ R A) B))) (not (forall ((A $$unsorted) (B $$unsorted)) (@ (@ Q A) B))))))) _let_32))))))) (let ((_let_35 (=>))) (let ((_let_36 (not))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted)) (ho_4 (ho_3 k_2 A) B)))) (let ((_let_38 (not _let_37))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted)) (ho_4 (ho_3 k_2 A) B)))) (let ((_let_40 (not _let_39))) (let ((_let_41 (and (ho_4 _let_26 tptp.lBill_THFTYPE_i) _let_27 _let_40 _let_38))) (let ((_let_42 (MACRO_SR_PRED_INTRO :args ((= _let_41 BOOLEAN_TERM_VARIABLE_1448))))) (let ((_let_43 (_let_32))) (let ((_let_44 (REFL :args _let_43))) (let ((_let_45 ((ho_3 BOUND_VARIABLE_716 Y) (ho_3 BOUND_VARIABLE_711 Y)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_34 :args (k_2 k_2 tptp.lMary_THFTYPE_i QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_43) (CONG _let_44 (CONG (CONG _let_29 _let_42 :args _let_25) :args _let_36) :args _let_35))) _let_34 :args (_let_33 false _let_32)))) (let ((_let_47 (ho_9 _let_12 BOOLEAN_TERM_VARIABLE_1914))) (let ((_let_48 (forall ((A $$unsorted) (B $$unsorted)) (ho_4 (ho_3 k_10 A) B)))) (let ((_let_49 (not _let_48))) (let ((_let_50 (ho_4 (ho_3 k_2 tptp.lSue_THFTYPE_i) tptp.lAnna_THFTYPE_i))) (let ((_let_51 (ho_3 k_10 tptp.lSue_THFTYPE_i))) (let ((_let_52 (ho_4 _let_51 tptp.lBill_THFTYPE_i))) (let ((_let_53 (and _let_52 _let_50 _let_49 _let_38))) (let ((_let_54 (ho_9 _let_12 BOOLEAN_TERM_VARIABLE_1017))) (let ((_let_55 (ho_4 _let_51 tptp.lMary_THFTYPE_i))) (let ((_let_56 (ho_9 _let_12 BOOLEAN_TERM_VARIABLE_999))) (let ((_let_57 (ho_9 _let_12 BOOLEAN_TERM_VARIABLE_963))) (let ((_let_58 (ho_4 (ho_3 k_2 tptp.lBob_THFTYPE_i) tptp.lAnna_THFTYPE_i))) (let ((_let_59 (ho_9 _let_12 BOOLEAN_TERM_VARIABLE_954))) (let ((_let_60 (not BOOLEAN_TERM_VARIABLE_935))) (let ((_let_61 (not BOOLEAN_TERM_VARIABLE_1448))) (let ((_let_62 (not _let_13))) (let ((_let_63 (or))) (let ((_let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_14))))) (let ((_let_65 (_let_61))) (let ((_let_66 (REFL :args (_let_62)))) (let ((_let_67 (_let_60))) (let ((_let_68 (REFL :args _let_67))) (let ((_let_69 (ASSUME :args (_let_13)))) (let ((_let_70 (TRUE_INTRO _let_69))) (let ((_let_71 (ASSUME :args (BOOLEAN_TERM_VARIABLE_935)))) (let ((_let_72 (SYMM (TRUE_INTRO _let_71)))) (let ((_let_73 (ASSUME :args (BOOLEAN_TERM_VARIABLE_1448)))) (let ((_let_74 (ASSUME :args (_let_33)))) (let ((_let_75 (FALSE_INTRO _let_74))) (let ((_let_76 (SYMM _let_75))) (let ((_let_77 (not _let_47))) (let ((_let_78 (MACRO_SR_PRED_INTRO :args ((= _let_53 BOOLEAN_TERM_VARIABLE_1914))))) (let ((_let_79 (not BOOLEAN_TERM_VARIABLE_1914))) (let ((_let_80 (ASSUME :args (BOOLEAN_TERM_VARIABLE_1914)))) (let ((_let_81 (ASSUME :args (_let_77)))) (let ((_let_82 (not _let_55))) (let ((_let_83 (MACRO_SR_PRED_INTRO :args ((= _let_82 BOOLEAN_TERM_VARIABLE_1017))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (PREPROCESS :args ((= _let_4 (ho_9 _let_12 _let_82)))) (CONG _let_29 _let_83 :args _let_25))))) (let ((_let_85 (not _let_54))) (let ((_let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) BOOLEAN_TERM_VARIABLE_1448))))) (let ((_let_87 (not BOOLEAN_TERM_VARIABLE_1017))) (let ((_let_88 (ASSUME :args _let_65))) (let ((_let_89 (FALSE_INTRO _let_88))) (let ((_let_90 (SYMM _let_89))) (let ((_let_91 (ASSUME :args (_let_87)))) (let ((_let_92 (_let_48))) (let ((_let_93 (MACRO_SR_PRED_INTRO :args ((= _let_50 BOOLEAN_TERM_VARIABLE_999))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (PREPROCESS :args ((= _let_7 (ho_9 _let_12 _let_50)))) (CONG _let_29 _let_93 :args _let_25))))) (let ((_let_95 (not _let_56))) (let ((_let_96 (not BOOLEAN_TERM_VARIABLE_999))) (let ((_let_97 (ASSUME :args (_let_96)))) (let ((_let_98 (MACRO_SR_PRED_INTRO :args ((= _let_52 BOOLEAN_TERM_VARIABLE_963))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_9)) (TRANS (PREPROCESS :args ((= _let_9 (ho_9 _let_12 _let_52)))) (CONG _let_29 _let_98 :args _let_25))))) (let ((_let_100 (not _let_57))) (let ((_let_101 (not BOOLEAN_TERM_VARIABLE_963))) (let ((_let_102 (ASSUME :args (_let_101)))) (let ((_let_103 (not _let_50))) (let ((_let_104 (not _let_52))) (let ((_let_105 (_let_53))) (let ((_let_106 (_let_39))) (let ((_let_107 (not _let_58))) (let ((_let_108 (SYMM (MACRO_SR_PRED_INTRO :args ((= BOOLEAN_TERM_VARIABLE_954 _let_107)))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (PREPROCESS :args ((= _let_10 (ho_9 _let_12 _let_107)))) (CONG _let_29 _let_108 :args _let_25))))) (let ((_let_110 (not _let_59))) (let ((_let_111 (not BOOLEAN_TERM_VARIABLE_954))) (let ((_let_112 (ASSUME :args (_let_111)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_74 _let_88 _let_112 _let_109) :args (_let_59 _let_111 _let_33 _let_61)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_109)) (CONG _let_29 (TRANS (FALSE_INTRO _let_112) _let_90) :args _let_25) _let_75)) :args (_let_33 _let_61 _let_111 _let_59)) :args ((not (and _let_59 _let_111 _let_33 _let_61)) SB_LITERAL))) (CONG (REFL :args (_let_110)) (MACRO_SR_PRED_INTRO :args ((= (not _let_111) BOOLEAN_TERM_VARIABLE_954))) _let_64 _let_86 :args _let_63)) :args ((or BOOLEAN_TERM_VARIABLE_954 _let_110 BOOLEAN_TERM_VARIABLE_1448 _let_14))) _let_46 _let_109 (EQUIV_ELIM2 _let_108) (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_106) :args (tptp.lBob_THFTYPE_i tptp.lAnna_THFTYPE_i QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_106)) :args ((or _let_58 _let_40))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_39 (= A A) (= B B)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_105) (CONG (REFL :args _let_105) (REFL :args (_let_104)) (REFL :args (_let_103)) (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_63)) :args ((or _let_104 _let_103 _let_37 _let_48 _let_53))) (EQUIV_ELIM2 _let_98) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_74 _let_88 _let_102 _let_99) :args (_let_57 _let_101 _let_33 _let_61)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_99)) (CONG _let_29 (TRANS (FALSE_INTRO _let_102) _let_90) :args _let_25) _let_75)) :args (_let_33 _let_61 _let_101 _let_57)) :args ((not (and _let_57 _let_101 _let_33 _let_61)) SB_LITERAL))) (CONG (REFL :args (_let_100)) (MACRO_SR_PRED_INTRO :args ((= (not _let_101) BOOLEAN_TERM_VARIABLE_963))) _let_64 _let_86 :args _let_63)) :args ((or BOOLEAN_TERM_VARIABLE_963 _let_100 BOOLEAN_TERM_VARIABLE_1448 _let_14))) _let_46 _let_99 (EQUIV_ELIM2 _let_93) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_74 _let_88 _let_97 _let_94) :args (_let_56 _let_96 _let_33 _let_61)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_94)) (CONG _let_29 (TRANS (FALSE_INTRO _let_97) _let_90) :args _let_25) _let_75)) :args (_let_33 _let_61 _let_96 _let_56)) :args ((not (and _let_56 _let_96 _let_33 _let_61)) SB_LITERAL))) (CONG (REFL :args (_let_95)) (MACRO_SR_PRED_INTRO :args ((= (not _let_96) BOOLEAN_TERM_VARIABLE_999))) _let_64 _let_86 :args _let_63)) :args ((or BOOLEAN_TERM_VARIABLE_999 _let_95 BOOLEAN_TERM_VARIABLE_1448 _let_14))) _let_46 _let_94 (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args (tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_92)) :args ((or _let_55 _let_49))) (EQUIV_ELIM2 _let_83) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_74 _let_88 _let_91 _let_84) :args (_let_54 _let_87 _let_33 _let_61)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_84)) (CONG _let_29 (TRANS (FALSE_INTRO _let_91) _let_90) :args _let_25) _let_75)) :args (_let_33 _let_61 _let_87 _let_54)) :args ((not (and _let_54 _let_87 _let_33 _let_61)) SB_LITERAL))) (CONG (REFL :args (_let_85)) (MACRO_SR_PRED_INTRO :args ((= (not _let_87) 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:args (k_2 k_10 tptp.lSue_THFTYPE_i QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_43) (CONG _let_44 (CONG (CONG _let_29 _let_78 :args _let_25) :args _let_36) :args _let_35))) _let_34 :args (_let_77 false _let_32)) _let_31 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_69 _let_71 _let_73 _let_74) :args (BOOLEAN_TERM_VARIABLE_935 _let_13 BOOLEAN_TERM_VARIABLE_1448 _let_33)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_76 (CONG _let_29 (TRANS (TRUE_INTRO _let_73) _let_72) :args _let_25) _let_70)) :args (_let_13 BOOLEAN_TERM_VARIABLE_935 BOOLEAN_TERM_VARIABLE_1448 _let_33)) :args ((not (and BOOLEAN_TERM_VARIABLE_935 _let_13 BOOLEAN_TERM_VARIABLE_1448 _let_33)) SB_LITERAL))) (CONG _let_68 _let_66 (REFL :args _let_65) _let_64 :args _let_63)) :args ((or _let_62 _let_60 _let_14 _let_61))) _let_46 _let_31 :args (_let_60 true _let_14 false _let_59 true BOOLEAN_TERM_VARIABLE_954 false _let_58 false _let_39 false _let_37 false _let_52 false BOOLEAN_TERM_VARIABLE_963 true _let_14 false _let_57 false _let_50 false BOOLEAN_TERM_VARIABLE_999 true _let_14 false _let_56 true _let_48 true _let_55 false BOOLEAN_TERM_VARIABLE_1017 true _let_14 false _let_54 true _let_53 true BOOLEAN_TERM_VARIABLE_1914 true _let_47 false _let_13 true BOOLEAN_TERM_VARIABLE_1448 true _let_14 false _let_13)))) (let ((_let_114 (not _let_41))) (let ((_let_115 (not _let_27))) (let ((_let_116 (ASSUME :args _let_67))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_69 _let_116 _let_88 _let_74) :args (_let_13 _let_60 _let_33 _let_61)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_76 (CONG _let_29 (TRANS _let_89 (SYMM (FALSE_INTRO _let_116))) :args _let_25) _let_70)) :args (_let_13 _let_60 _let_61 _let_33)) :args ((not (and _let_13 _let_60 _let_33 _let_61)) SB_LITERAL))) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) BOOLEAN_TERM_VARIABLE_935))) _let_64 _let_86 :args _let_63)) :args ((or BOOLEAN_TERM_VARIABLE_935 _let_62 BOOLEAN_TERM_VARIABLE_1448 _let_14))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_42) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_27 _let_114))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 _let_28) :args ((or BOOLEAN_TERM_VARIABLE_935 _let_115))) _let_113 :args (_let_115 true BOOLEAN_TERM_VARIABLE_935)) :args (_let_114 true _let_27)) :args (_let_61 true _let_41)) _let_113 _let_46 _let_31 :args (false true BOOLEAN_TERM_VARIABLE_1448 true BOOLEAN_TERM_VARIABLE_935 true _let_14 false _let_13)) :args (_let_11 (@ _let_3 (@ _let_6 tptp.lBen_THFTYPE_i)) _let_10 _let_9 (@ _let_3 (@ (@ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) (@ _let_3 (not (@ _let_8 tptp.lBen_THFTYPE_i))) (@ _let_3 (@ (@ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) _let_7 (@ _let_3 (@ _let_5 tptp.lBen_THFTYPE_i)) _let_4 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57 )
% 0.21/0.57 % SZS output end Proof for CSR131^1
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------