TSTP Solution File: CSR144^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 21:07:15 EDT 2023
% Result : Theorem 0.13s 0.45s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10 % Command : do_cvc5 %s %d
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 28 08:24:49 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.39 %----Proving TH0
% 0.13/0.40 %------------------------------------------------------------------------------
% 0.13/0.40 % File : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.40 % Domain : Commonsense Reasoning
% 0.13/0.40 % Problem : Does Max think he's single?
% 0.13/0.40 % Version : Especial.
% 0.13/0.40 % English : There is no time during which Max considers to have a wife. Is it
% 0.13/0.40 % true that Max does not believe that he is a husband of somebody?.
% 0.13/0.40
% 0.13/0.40 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.13/0.40 % Source : [Ben10]
% 0.13/0.40 % Names : ex_3.tq_SUMO_handselected [Ben10]
% 0.13/0.40
% 0.13/0.40 % Status : Theorem
% 0.13/0.40 % Rating : 0.18 v8.1.0, 0.33 v7.3.0, 0.30 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.38 v6.4.0, 0.43 v6.3.0, 0.50 v6.2.0, 0.33 v6.1.0, 0.67 v6.0.0, 0.33 v5.5.0, 0.20 v5.4.0, 0.00 v5.3.0, 0.50 v5.0.0, 0.25 v4.1.0
% 0.13/0.40 % Syntax : Number of formulae : 13 ( 1 unt; 8 typ; 0 def)
% 0.13/0.40 % Number of atoms : 14 ( 0 equ; 2 cnn)
% 0.13/0.40 % Maximal formula atoms : 4 ( 2 avg)
% 0.13/0.40 % Number of connectives : 31 ( 2 ~; 0 |; 0 &; 26 @)
% 0.13/0.40 % ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% 0.13/0.40 % Maximal formula depth : 9 ( 7 avg)
% 0.13/0.40 % Number of types : 3 ( 1 usr)
% 0.13/0.40 % Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% 0.13/0.40 % Number of symbols : 8 ( 7 usr; 2 con; 0-2 aty)
% 0.13/0.40 % Number of variables : 10 ( 0 ^; 7 !; 3 ?; 10 :)
% 0.13/0.40 % SPC : TH0_THM_NEQ_NAR
% 0.13/0.40
% 0.13/0.40 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.13/0.40 % Initally the problem has been hand generated in KIF syntax in
% 0.13/0.40 % SigmaKEE and then automatically translated by Benzmueller's
% 0.13/0.40 % KIF2TH0 translator into THF syntax.
% 0.13/0.40 % : The translation has been applied in three modes: handselected,
% 0.13/0.40 % SInE, and local. The local mode only translates the local
% 0.13/0.40 % assumptions and the query. The SInE mode additionally translates
% 0.13/0.40 % the SInE extract of the loaded knowledge base (usually SUMO). The
% 0.13/0.40 % handselected mode contains a hand-selected relevant axioms.
% 0.13/0.40 % : The examples are selected to illustrate the benefits of
% 0.13/0.40 % higher-order reasoning in ontology reasoning.
% 0.13/0.40 %------------------------------------------------------------------------------
% 0.13/0.40 %----The extracted signature
% 0.13/0.40 thf(numbers,type,
% 0.13/0.40 num: $tType ).
% 0.13/0.40
% 0.13/0.40 thf(believes_THFTYPE_IiooI,type,
% 0.13/0.40 believes_THFTYPE_IiooI: $i > $o > $o ).
% 0.13/0.40
% 0.13/0.40 thf(considers_THFTYPE_IiooI,type,
% 0.13/0.40 considers_THFTYPE_IiooI: $i > $o > $o ).
% 0.13/0.40
% 0.13/0.40 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.13/0.40 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.13/0.40
% 0.13/0.40 thf(husband_THFTYPE_IiioI,type,
% 0.13/0.40 husband_THFTYPE_IiioI: $i > $i > $o ).
% 0.13/0.40
% 0.13/0.40 thf(lMax_THFTYPE_i,type,
% 0.13/0.40 lMax_THFTYPE_i: $i ).
% 0.13/0.40
% 0.13/0.40 thf(wife_THFTYPE_IiioI,type,
% 0.13/0.40 wife_THFTYPE_IiioI: $i > $i > $o ).
% 0.13/0.40
% 0.13/0.40 %----The handselected axioms from the knowledge base
% 0.13/0.40 thf(inverse_THFTYPE_IIiioIIiioIoI,type,
% 0.13/0.40 inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 0.13/0.40
% 0.13/0.40 thf(ax,axiom,
% 0.13/0.40 inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
% 0.13/0.40
% 0.13/0.40 thf(ax_001,axiom,
% 0.13/0.40 ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
% 0.13/0.40 ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
% 0.13/0.40 => ! [INST1: $i,INST2: $i] :
% 0.13/0.40 ( ( REL1 @ INST1 @ INST2 )
% 0.13/0.40 <=> ( REL2 @ INST2 @ INST1 ) ) ) ).
% 0.13/0.40
% 0.13/0.40 thf(ax_002,axiom,
% 0.13/0.40 ! [FORMULA: $o,AGENT: $i] :
% 0.13/0.40 ( ( believes_THFTYPE_IiooI @ AGENT @ FORMULA )
% 0.13/0.40 => ? [TIME: $i] : ( holdsDuring_THFTYPE_IiooI @ TIME @ ( considers_THFTYPE_IiooI @ AGENT @ FORMULA ) ) ) ).
% 0.13/0.40
% 0.13/0.40 %----The translated axioms
% 0.13/0.40 thf(ax_003,axiom,
% 0.13/0.40 ! [X: $i] :
% 0.13/0.40 ( (~)
% 0.13/0.40 @ ? [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X @ lMax_THFTYPE_i ) ) ) ) ).
% 0.13/0.40
% 0.13/0.40 %----The translated conjectures
% 0.13/0.40 thf(con,conjecture,
% 0.13/0.40 ? [Z: $i] : ( (~) @ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ) ) ).
% 0.13/0.40
% 0.13/0.40 %------------------------------------------------------------------------------
% 0.13/0.40 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rOULW9eEoQ/cvc5---1.0.5_1370.p...
% 0.13/0.45 (declare-sort $$unsorted 0)
% 0.13/0.45 (declare-sort tptp.num 0)
% 0.13/0.45 (declare-fun tptp.believes_THFTYPE_IiooI ($$unsorted Bool) Bool)
% 0.13/0.45 (declare-fun tptp.considers_THFTYPE_IiooI ($$unsorted Bool) Bool)
% 0.13/0.45 (declare-fun tptp.holdsDuring_THFTYPE_IiooI ($$unsorted Bool) Bool)
% 0.13/0.45 (declare-fun tptp.husband_THFTYPE_IiioI ($$unsorted $$unsorted) Bool)
% 0.13/0.45 (declare-fun tptp.lMax_THFTYPE_i () $$unsorted)
% 0.13/0.45 (declare-fun tptp.wife_THFTYPE_IiioI ($$unsorted $$unsorted) Bool)
% 0.13/0.45 (declare-fun tptp.inverse_THFTYPE_IIiioIIiioIoI ((-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool)) Bool)
% 0.13/0.45 (assert (@ (@ tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI) tptp.wife_THFTYPE_IiioI))
% 0.13/0.45 (assert (forall ((REL2 (-> $$unsorted $$unsorted Bool)) (REL1 (-> $$unsorted $$unsorted Bool))) (=> (@ (@ tptp.inverse_THFTYPE_IIiioIIiioIoI REL1) REL2) (forall ((INST1 $$unsorted) (INST2 $$unsorted)) (= (@ (@ REL1 INST1) INST2) (@ (@ REL2 INST2) INST1))))))
% 0.13/0.45 (assert (forall ((FORMULA Bool) (AGENT $$unsorted)) (=> (@ (@ tptp.believes_THFTYPE_IiooI AGENT) FORMULA) (exists ((TIME $$unsorted)) (@ (@ tptp.holdsDuring_THFTYPE_IiooI TIME) (@ (@ tptp.considers_THFTYPE_IiooI AGENT) FORMULA))))))
% 0.13/0.45 (assert (forall ((X $$unsorted)) (not (exists ((Z $$unsorted)) (@ (@ tptp.holdsDuring_THFTYPE_IiooI Z) (@ (@ tptp.considers_THFTYPE_IiooI tptp.lMax_THFTYPE_i) (@ (@ tptp.wife_THFTYPE_IiioI X) tptp.lMax_THFTYPE_i)))))))
% 0.13/0.45 (assert (not (exists ((Z $$unsorted)) (not (@ (@ tptp.believes_THFTYPE_IiooI tptp.lMax_THFTYPE_i) (@ (@ tptp.husband_THFTYPE_IiioI tptp.lMax_THFTYPE_i) Z))))))
% 0.13/0.45 (set-info :filename cvc5---1.0.5_1370)
% 0.13/0.45 (check-sat-assuming ( true ))
% 0.13/0.45 ------- get file name : TPTP file name is CSR144^1
% 0.13/0.45 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1370.smt2...
% 0.13/0.45 --- Run --ho-elim --full-saturate-quant at 10...
% 0.13/0.45 % SZS status Theorem for CSR144^1
% 0.13/0.45 % SZS output start Proof for CSR144^1
% 0.13/0.45 (
% 0.13/0.45 (let ((_let_1 (not (exists ((Z $$unsorted)) (not (@ (@ tptp.believes_THFTYPE_IiooI tptp.lMax_THFTYPE_i) (@ (@ tptp.husband_THFTYPE_IiioI tptp.lMax_THFTYPE_i) Z))))))) (let ((_let_2 (forall ((X $$unsorted)) (not (exists ((Z $$unsorted)) (@ (@ tptp.holdsDuring_THFTYPE_IiooI Z) (@ (@ tptp.considers_THFTYPE_IiooI tptp.lMax_THFTYPE_i) (@ (@ tptp.wife_THFTYPE_IiioI X) tptp.lMax_THFTYPE_i)))))))) (let ((_let_3 (forall ((FORMULA Bool) (AGENT $$unsorted)) (=> (@ (@ tptp.believes_THFTYPE_IiooI AGENT) FORMULA) (exists ((TIME $$unsorted)) (@ (@ tptp.holdsDuring_THFTYPE_IiooI TIME) (@ (@ tptp.considers_THFTYPE_IiooI AGENT) FORMULA))))))) (let ((_let_4 (forall ((REL2 (-> $$unsorted $$unsorted Bool)) (REL1 (-> $$unsorted $$unsorted Bool))) (=> (@ (@ tptp.inverse_THFTYPE_IIiioIIiioIoI REL1) REL2) (forall ((INST1 $$unsorted) (INST2 $$unsorted)) (= (@ (@ REL1 INST1) INST2) (@ (@ REL2 INST2) INST1))))))) (let ((_let_5 (@ (@ tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI) tptp.wife_THFTYPE_IiioI))) (let ((_let_6 (ho_10 k_9 tptp.lMax_THFTYPE_i))) (let ((_let_7 (= _let_6 gt_16))) (let ((_let_8 (ho_11 _let_6 BOOLEAN_TERM_VARIABLE_1959))) (let ((_let_9 (ho_11 _let_6 BOOLEAN_TERM_VARIABLE_1993))) (let ((_let_10 (THEORY_LEMMA :args ((= gt_16 _let_6) THEORY_QUANTIFIERS)))) (let ((_let_11 (SYMM _let_10))) (let ((_let_12 (not _let_8))) (let ((_let_13 (ho_10 k_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51))) (let ((_let_14 (ho_11 _let_13 BOOLEAN_TERM_VARIABLE_2504))) (let ((_let_15 (ho_11 _let_13 BOOLEAN_TERM_VARIABLE_1949))) (let ((_let_16 (ho_8 (ho_3 k_4 tptp.lMax_THFTYPE_i) tptp.lMax_THFTYPE_i))) (let ((_let_17 (ho_8 (ho_3 k_2 tptp.lMax_THFTYPE_i) tptp.lMax_THFTYPE_i))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (not BOOLEAN_TERM_VARIABLE_1949))) (let ((_let_20 (BOOLEAN_TERM_VARIABLE_1949))) (let ((_let_21 (APPLY_UF ho_11))) (let ((_let_22 (MACRO_SR_PRED_INTRO :args ((= _let_17 BOOLEAN_TERM_VARIABLE_1959))))) (let ((_let_23 (ho_11 _let_6 _let_17))) (let ((_let_24 ((= BOOLEAN_TERM_VARIABLE_1949 _let_23)))) (let ((_let_25 (EQ_RESOLVE (MACRO_SR_PRED_INTRO :args _let_24) (TRANS (REWRITE :args _let_24) (TRANS (CONG (CONG (REFL :args (_let_6)) _let_22 :args _let_21) (REFL :args _let_20) :args (=)) (REWRITE :args ((= _let_8 BOOLEAN_TERM_VARIABLE_1949)))))))) (let ((_let_26 (forall ((TIME $$unsorted)) (not (ho_11 (ho_10 k_12 TIME) (ho_11 (ho_10 k_9 tptp.lMax_THFTYPE_i) BOOLEAN_TERM_VARIABLE_1993)))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (ho_10 k_13 tptp.lMax_THFTYPE_i))) (let ((_let_29 (ho_11 _let_28 BOOLEAN_TERM_VARIABLE_1993))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_27))) (let ((_let_32 (forall ((FORMULA Bool) (AGENT $$unsorted)) (or (not (ho_11 (ho_10 k_13 AGENT) FORMULA)) (not (forall ((TIME $$unsorted)) (not (ho_11 (ho_10 k_12 TIME) (ho_11 (ho_10 k_9 AGENT) FORMULA))))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((FORMULA Bool) (AGENT $$unsorted)) (or (not (@ (@ tptp.believes_THFTYPE_IiooI AGENT) FORMULA)) (not (forall ((TIME $$unsorted)) (not (@ (@ tptp.holdsDuring_THFTYPE_IiooI TIME) (@ (@ tptp.considers_THFTYPE_IiooI AGENT) FORMULA))))))) _let_32))))))) (let ((_let_34 (forall ((Z $$unsorted)) (ho_11 (ho_10 k_13 tptp.lMax_THFTYPE_i) (ho_8 (ho_3 k_4 tptp.lMax_THFTYPE_i) Z))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Z $$unsorted)) (@ (@ tptp.believes_THFTYPE_IiooI tptp.lMax_THFTYPE_i) (@ (@ tptp.husband_THFTYPE_IiioI tptp.lMax_THFTYPE_i) Z))) _let_34))))))) (let ((_let_36 (=>))) (let ((_let_37 (MACRO_SR_PRED_INTRO :args ((= _let_16 BOOLEAN_TERM_VARIABLE_1993))))) (let ((_let_38 (_let_34))) (let ((_let_39 (or))) (let ((_let_40 (_let_14))) (let ((_let_41 (MACRO_SR_PRED_INTRO :args ((= _let_9 BOOLEAN_TERM_VARIABLE_2504))))) (let ((_let_42 (REFL :args (_let_13)))) (let ((_let_43 (_let_27))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43) (TRANS (REWRITE :args ((=> _let_27 (not (not (ho_11 _let_13 _let_9)))))) (CONG (REFL :args _let_43) (CONG _let_42 _let_41 :args _let_21) :args _let_36)))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) (REFL :args _let_40) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_27 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_35 :args (tptp.lMax_THFTYPE_i QUANTIFIERS_INST_ENUM)) :args _let_38) (CONG (REFL :args _let_38) (CONG (REFL :args (_let_28)) _let_37 :args _let_21) :args _let_36))) _let_35 :args (_let_29 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (BOOLEAN_TERM_VARIABLE_1993 tptp.lMax_THFTYPE_i QUANTIFIERS_INST_E_MATCHING ((not (= (ho_11 (ho_10 k_13 AGENT) FORMULA) false))))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_27 false _let_29 false _let_31)) :args (_let_14 true _let_26)))) (let ((_let_45 (forall ((X $$unsorted) (Z $$unsorted)) (not (ho_11 (ho_10 k_12 Z) (ho_11 (ho_10 k_9 tptp.lMax_THFTYPE_i) (ho_8 (ho_3 k_2 X) tptp.lMax_THFTYPE_i))))))) (let ((_let_46 (not _let_15))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X $$unsorted) (Z $$unsorted)) (not (@ (@ tptp.holdsDuring_THFTYPE_IiooI Z) (@ (@ tptp.considers_THFTYPE_IiooI tptp.lMax_THFTYPE_i) (@ (@ tptp.wife_THFTYPE_IiioI X) tptp.lMax_THFTYPE_i))))) _let_45))))))) (let ((_let_48 (_let_45))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_47 :args (tptp.lMax_THFTYPE_i SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48) (CONG (REFL :args _let_48) (CONG (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= _let_23 BOOLEAN_TERM_VARIABLE_1949))) :args _let_21) :args (not)) :args _let_36))) _let_47 :args (_let_46 false _let_45)))) (let ((_let_50 (not BOOLEAN_TERM_VARIABLE_2504))) (let ((_let_51 (not _let_14))) (let ((_let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_15))))) (let ((_let_53 (REFL :args (_let_51)))) (let ((_let_54 (_let_50))) (let ((_let_55 (_let_19))) (let ((_let_56 (ASSUME :args (_let_46)))) (let ((_let_57 (FALSE_INTRO _let_56))) (let ((_let_58 (ASSUME :args _let_20))) (let ((_let_59 (ASSUME :args (BOOLEAN_TERM_VARIABLE_2504)))) (let ((_let_60 (ASSUME :args _let_40))) (let ((_let_61 (SYMM (TRUE_INTRO _let_60)))) (let ((_let_62 (not _let_9))) (let ((_let_63 (not _let_16))) (let ((_let_64 (ho_7 (ho_6 k_5 k_4) k_2))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_18))) (let ((_let_67 (forall ((BOUND_VARIABLE_695 |u_(-> $$unsorted $$unsorted Bool)|) (BOUND_VARIABLE_700 |u_(-> $$unsorted $$unsorted Bool)|) (BOUND_VARIABLE_646 $$unsorted) (BOUND_VARIABLE_644 $$unsorted)) (or (not (ho_7 (ho_6 k_5 BOUND_VARIABLE_700) BOUND_VARIABLE_695)) (= (ho_8 (ho_3 BOUND_VARIABLE_695 BOUND_VARIABLE_646) BOUND_VARIABLE_644) (ho_8 (ho_3 BOUND_VARIABLE_700 BOUND_VARIABLE_644) BOUND_VARIABLE_646)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((REL2 (-> $$unsorted $$unsorted Bool)) (REL1 (-> $$unsorted $$unsorted Bool)) (BOUND_VARIABLE_646 $$unsorted) (BOUND_VARIABLE_644 $$unsorted)) (or (not (@ (@ tptp.inverse_THFTYPE_IIiioIIiioIoI REL1) REL2)) (= (@ (@ REL1 BOUND_VARIABLE_644) BOUND_VARIABLE_646) (@ (@ REL2 BOUND_VARIABLE_646) BOUND_VARIABLE_644)))) _let_67))))))) (let ((_let_69 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_70 (forall ((x |u_(-> $$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_71 (forall ((u |u_(-> _u_(-> $$unsorted $$unsorted Bool)_ Bool)|) (e Bool) (i |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> $$unsorted $$unsorted Bool)_ Bool)|)) (not (forall ((ii |u_(-> $$unsorted $$unsorted Bool)|)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_72 (forall ((x |u_(-> _u_(-> $$unsorted $$unsorted Bool)_ Bool)|) (y |u_(-> _u_(-> $$unsorted $$unsorted Bool)_ Bool)|)) (or (not (forall ((z |u_(-> $$unsorted $$unsorted Bool)|)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_73 (forall ((u |u_(-> _u_(-> $$unsorted $$unsorted Bool)_ _u_(-> $$unsorted $$unsorted Bool)_ Bool)|) (e |u_(-> _u_(-> $$unsorted $$unsorted Bool)_ Bool)|) (i |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> $$unsorted $$unsorted Bool)_ _u_(-> $$unsorted $$unsorted Bool)_ Bool)|)) (not (forall ((ii |u_(-> $$unsorted $$unsorted Bool)|)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_74 (forall ((x |u_(-> _u_(-> $$unsorted $$unsorted Bool)_ _u_(-> $$unsorted $$unsorted Bool)_ Bool)|) (y |u_(-> _u_(-> $$unsorted $$unsorted Bool)_ _u_(-> $$unsorted $$unsorted Bool)_ Bool)|)) (or (not (forall ((z |u_(-> $$unsorted $$unsorted Bool)|)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_75 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_76 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_77 (forall ((u |u_(-> $$unsorted Bool Bool)|) (e |u_(-> Bool Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_10 v ii) (ite (= i ii) e (ho_10 u ii)))))))))) (let ((_let_78 (forall ((x |u_(-> $$unsorted Bool Bool)|) (y |u_(-> $$unsorted Bool Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_10 x z) (ho_10 y z)))) (= x y))))) (let ((_let_79 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_11 v ii) (ite (= i ii) e (ho_11 u ii)))))))))) (let ((_let_80 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_11 x z) (ho_11 y z)))) (= x y))))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_18 (not _let_66)))) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_5)) (PREPROCESS :args ((= _let_5 _let_64)))) (PREPROCESS :args ((and _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71 _let_70 _let_69)))) :args ((and _let_64 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71 _let_70 _let_69))) :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (k_2 k_4 tptp.lMax_THFTYPE_i tptp.lMax_THFTYPE_i QUANTIFIERS_INST_ENUM)) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_18 false _let_64 false _let_66)))) (let ((_let_82 (not _let_18))) (let ((_let_83 (_let_18))) (let ((_let_84 (REORDERING (CNF_EQUIV_POS2 :args _let_83) :args ((or _let_17 _let_63 _let_82))))) (let ((_let_85 (EQUIV_ELIM1 _let_37))) (let ((_let_86 (EQUIV_ELIM1 _let_22))) (let ((_let_87 (not BOOLEAN_TERM_VARIABLE_1993))) (let ((_let_88 (not BOOLEAN_TERM_VARIABLE_1959))) (let ((_let_89 (not _let_7))) (let ((_let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_9))))) (let ((_let_91 (_let_87))) (let ((_let_92 (REFL :args _let_91))) (let ((_let_93 (_let_12))) (let ((_let_94 (REFL :args _let_93))) (let ((_let_95 (_let_88))) (let ((_let_96 (REFL :args _let_95))) (let ((_let_97 (REFL :args (_let_89)))) (let ((_let_98 (_let_62))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (FALSE_INTRO _let_99))) (let ((_let_101 (ASSUME :args (BOOLEAN_TERM_VARIABLE_1993)))) (let ((_let_102 (BOOLEAN_TERM_VARIABLE_1959))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 (CONG _let_10 (TRANS (TRUE_INTRO _let_103) (SYMM (TRUE_INTRO _let_101))) :args _let_21))) (let ((_let_105 (CONG _let_11 (REFL :args _let_102) :args _let_21))) (let ((_let_106 (ASSUME :args (_let_8)))) (let ((_let_107 (SYMM (TRUE_INTRO _let_106)))) (let ((_let_108 (not _let_17))) (let ((_let_109 (REORDERING (CNF_EQUIV_POS1 :args _let_83) :args ((or _let_16 _let_108 _let_82))))) (let ((_let_110 (EQUIV_ELIM2 _let_37))) (let ((_let_111 (EQUIV_ELIM2 _let_22))) (let ((_let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_87) BOOLEAN_TERM_VARIABLE_1993))))) (let ((_let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_88) BOOLEAN_TERM_VARIABLE_1959))))) (let ((_let_114 (ASSUME :args _let_91))) (let ((_let_115 (ASSUME :args _let_95))) (let ((_let_116 (CONG _let_10 (TRANS (FALSE_INTRO _let_115) (SYMM (FALSE_INTRO _let_114))) :args _let_21))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_99 _let_11 _let_114 _let_115 _let_106) :args (_let_7 _let_8 _let_88 _let_87 _let_62)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_107 _let_105 _let_116 _let_100)) :args (_let_62 _let_7 _let_87 _let_88 _let_8)) :args ((not (and _let_7 _let_8 _let_88 _let_87 _let_62)) SB_LITERAL))) (CONG _let_97 _let_94 _let_113 _let_112 _let_90 :args _let_39)) :args ((or _let_89 BOOLEAN_TERM_VARIABLE_1959 _let_12 BOOLEAN_TERM_VARIABLE_1993 _let_9))) _let_11 _let_111 _let_110 _let_109 _let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_99 _let_11 _let_101 _let_103 _let_106) :args (_let_7 BOOLEAN_TERM_VARIABLE_1959 _let_8 BOOLEAN_TERM_VARIABLE_1993 _let_62)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_107 _let_105 _let_104 _let_100)) :args (_let_62 _let_7 BOOLEAN_TERM_VARIABLE_1993 BOOLEAN_TERM_VARIABLE_1959 _let_8)) :args ((not (and _let_7 BOOLEAN_TERM_VARIABLE_1959 _let_8 BOOLEAN_TERM_VARIABLE_1993 _let_62)) SB_LITERAL))) (CONG _let_97 _let_96 _let_94 _let_92 _let_90 :args _let_39)) :args ((or _let_89 _let_12 _let_88 _let_87 _let_9))) _let_11 _let_86 _let_85 _let_84 _let_81 :args ((or _let_63 _let_12 _let_9) false _let_7 false BOOLEAN_TERM_VARIABLE_1959 false BOOLEAN_TERM_VARIABLE_1993 false _let_17 false _let_18)) (REORDERING (EQUIV_ELIM1 _let_41) :args ((or BOOLEAN_TERM_VARIABLE_2504 _let_62))) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_56 _let_58 _let_59 _let_60) :args (BOOLEAN_TERM_VARIABLE_1949 BOOLEAN_TERM_VARIABLE_2504 _let_14 _let_46)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_61 (CONG _let_42 (TRANS (TRUE_INTRO _let_59) (SYMM (TRUE_INTRO _let_58))) :args _let_21) _let_57)) :args (_let_46 BOOLEAN_TERM_VARIABLE_1949 BOOLEAN_TERM_VARIABLE_2504 _let_14)) :args ((not (and BOOLEAN_TERM_VARIABLE_1949 BOOLEAN_TERM_VARIABLE_2504 _let_14 _let_46)) SB_LITERAL))) (CONG (REFL :args _let_55) (REFL :args _let_54) _let_53 _let_52 :args _let_39)) :args ((or _let_19 _let_51 _let_50 _let_15))) _let_49 _let_44 (REORDERING (EQUIV_ELIM1 _let_25) :args ((or _let_8 _let_19))) :args (_let_19 false _let_7 true BOOLEAN_TERM_VARIABLE_1959 true BOOLEAN_TERM_VARIABLE_1993 true _let_17 false _let_18 true _let_16 true _let_9 true BOOLEAN_TERM_VARIABLE_2504 true _let_15 false _let_14 false _let_8)))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_25) _let_117 :args (_let_12 true BOOLEAN_TERM_VARIABLE_1949)))) (let ((_let_119 (ASSUME :args _let_55))) (let ((_let_120 (ASSUME :args _let_54))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_41) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_56 _let_119 _let_120 _let_60) :args (_let_19 _let_14 _let_50 _let_46)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_61 (CONG _let_42 (TRANS (FALSE_INTRO _let_120) (SYMM (FALSE_INTRO _let_119))) :args _let_21) _let_57)) :args (_let_46 _let_19 _let_50 _let_14)) :args ((not (and _let_19 _let_14 _let_50 _let_46)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) BOOLEAN_TERM_VARIABLE_1949))) _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) BOOLEAN_TERM_VARIABLE_2504))) _let_52 :args _let_39)) :args ((or BOOLEAN_TERM_VARIABLE_1949 BOOLEAN_TERM_VARIABLE_2504 _let_51 _let_15))) _let_117 _let_49 _let_44 :args (BOOLEAN_TERM_VARIABLE_2504 true BOOLEAN_TERM_VARIABLE_1949 true _let_15 false _let_14)) :args (_let_9 false BOOLEAN_TERM_VARIABLE_2504)))) (let ((_let_122 (REFL :args _let_98))) (let ((_let_123 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_8))))) (let ((_let_124 (ASSUME :args (_let_9)))) (let ((_let_125 (TRUE_INTRO _let_124))) (let ((_let_126 (ASSUME :args _let_93))) (let ((_let_127 (SYMM (FALSE_INTRO _let_126)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_124 _let_11 _let_101 _let_103 _let_126) :args (_let_7 BOOLEAN_TERM_VARIABLE_1959 _let_12 BOOLEAN_TERM_VARIABLE_1993 _let_9)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_127 _let_105 _let_104 _let_125)) :args (_let_9 _let_7 BOOLEAN_TERM_VARIABLE_1993 BOOLEAN_TERM_VARIABLE_1959 _let_12)) :args ((not (and _let_7 BOOLEAN_TERM_VARIABLE_1959 _let_12 BOOLEAN_TERM_VARIABLE_1993 _let_9)) SB_LITERAL))) (CONG _let_97 _let_96 _let_123 _let_92 _let_122 :args _let_39)) :args ((or _let_89 _let_8 _let_88 _let_87 _let_62))) _let_121 _let_118 _let_11 _let_86 _let_85 _let_84 _let_81 :args (_let_63 false _let_9 true _let_8 false _let_7 false BOOLEAN_TERM_VARIABLE_1959 false BOOLEAN_TERM_VARIABLE_1993 false _let_17 false _let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_124 _let_11 _let_114 _let_115 _let_126) :args (_let_7 _let_12 _let_88 _let_87 _let_9)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_127 _let_105 _let_116 _let_125)) :args (_let_9 _let_7 _let_87 _let_88 _let_12)) :args ((not (and _let_7 _let_12 _let_88 _let_87 _let_9)) SB_LITERAL))) (CONG _let_97 _let_123 _let_113 _let_112 _let_122 :args _let_39)) :args ((or _let_89 BOOLEAN_TERM_VARIABLE_1959 _let_8 BOOLEAN_TERM_VARIABLE_1993 _let_62))) (MACRO_RESOLUTION_TRUST _let_111 (MACRO_RESOLUTION_TRUST _let_109 _let_128 _let_81 :args (_let_108 true _let_16 false _let_18)) :args (_let_88 true _let_17)) (MACRO_RESOLUTION_TRUST _let_110 _let_128 :args (_let_87 true _let_16)) _let_121 _let_118 _let_11 :args (false true BOOLEAN_TERM_VARIABLE_1959 true BOOLEAN_TERM_VARIABLE_1993 false _let_9 true _let_8 false _let_7)) :args (_let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.13/0.45 )
% 0.13/0.45 % SZS output end Proof for CSR144^1
% 0.13/0.45 % cvc5---1.0.5 exiting
% 0.13/0.45 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------