TSTP Solution File: CSR141^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CSR141^1 : 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 21:07:13 EDT 2023
% Result : Theorem 0.35s 0.55s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR141^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 14:43:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.20/0.49 %------------------------------------------------------------------------------
% 0.20/0.49 % File : CSR141^1 : TPTP v8.1.2. Released v4.1.0.
% 0.20/0.49 % Domain : Commonsense Reasoning
% 0.20/0.49 % Problem : Reiner and MariaPaola are not connected at the CADE meeting
% 0.20/0.49 % Version : Especial.
% 0.20/0.49 % English : CADE_BM is a Meeting. One agent of this meeting is MariaPaola and
% 0.20/0.49 % one is Reiner. It holds that both agents are not connected during
% 0.20/0.49 % the meeting.
% 0.20/0.49
% 0.20/0.49 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.20/0.49 % Source : [Ben10]
% 0.20/0.49 % Names : re_1.tq_SUMO_handselected [Ben10]
% 0.20/0.49
% 0.20/0.49 % Status : Theorem
% 0.20/0.49 % Rating : 0.09 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.1.0, 0.50 v6.0.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.50 v4.1.0
% 0.20/0.49 % Syntax : Number of formulae : 19 ( 3 unt; 12 typ; 0 def)
% 0.20/0.49 % Number of atoms : 16 ( 0 equ; 2 cnn)
% 0.20/0.49 % Maximal formula atoms : 5 ( 2 avg)
% 0.20/0.49 % Number of connectives : 39 ( 2 ~; 0 |; 2 &; 33 @)
% 0.20/0.49 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.49 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.49 % Number of types : 3 ( 1 usr)
% 0.20/0.49 % Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% 0.20/0.49 % Number of symbols : 13 ( 11 usr; 7 con; 0-3 aty)
% 0.20/0.49 % Number of variables : 5 ( 0 ^; 5 !; 0 ?; 5 :)
% 0.20/0.49 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.49
% 0.20/0.49 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.20/0.49 % Initally the problem has been hand generated in KIF syntax in
% 0.20/0.49 % SigmaKEE and then automatically translated by Benzmueller's
% 0.20/0.49 % KIF2TH0 translator into THF syntax.
% 0.20/0.49 % : The translation has been applied in three modes: handselected,
% 0.20/0.49 % SInE, and local. The local mode only translates the local
% 0.20/0.49 % assumptions and the query. The SInE mode additionally translates
% 0.20/0.49 % the SInE extract of the loaded knowledge base (usually SUMO). The
% 0.20/0.49 % handselected mode contains a hand-selected relevant axioms.
% 0.20/0.49 % : The examples are selected to illustrate the benefits of
% 0.20/0.49 % higher-order reasoning in ontology reasoning.
% 0.20/0.49 %------------------------------------------------------------------------------
% 0.20/0.49 %----The extracted signature
% 0.20/0.49 thf(numbers,type,
% 0.20/0.49 num: $tType ).
% 0.20/0.49
% 0.20/0.49 thf(agent_THFTYPE_IiioI,type,
% 0.20/0.49 agent_THFTYPE_IiioI: $i > $i > $o ).
% 0.20/0.49
% 0.20/0.49 thf(connected_THFTYPE_IiioI,type,
% 0.20/0.49 connected_THFTYPE_IiioI: $i > $i > $o ).
% 0.20/0.49
% 0.20/0.49 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.20/0.49 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.20/0.49
% 0.20/0.49 thf(instance_THFTYPE_IiioI,type,
% 0.20/0.49 instance_THFTYPE_IiioI: $i > $i > $o ).
% 0.20/0.49
% 0.20/0.49 thf(lCADE_BM_THFTYPE_i,type,
% 0.20/0.49 lCADE_BM_THFTYPE_i: $i ).
% 0.20/0.49
% 0.20/0.49 thf(lMariaPaola_THFTYPE_i,type,
% 0.20/0.49 lMariaPaola_THFTYPE_i: $i ).
% 0.20/0.49
% 0.20/0.49 thf(lMeeting_THFTYPE_i,type,
% 0.20/0.49 lMeeting_THFTYPE_i: $i ).
% 0.20/0.49
% 0.20/0.49 thf(lReiner_THFTYPE_i,type,
% 0.20/0.49 lReiner_THFTYPE_i: $i ).
% 0.20/0.49
% 0.20/0.49 thf(lWhenFn_THFTYPE_IiiI,type,
% 0.20/0.49 lWhenFn_THFTYPE_IiiI: $i > $i ).
% 0.20/0.49
% 0.20/0.49 thf(lNear_THFTYPE_i,type,
% 0.20/0.49 lNear_THFTYPE_i: $i ).
% 0.20/0.49
% 0.20/0.49 thf(orientation_THFTYPE_IiiioI,type,
% 0.20/0.49 orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).
% 0.20/0.49
% 0.20/0.49 %----The translated axioms
% 0.20/0.49 thf(ax,axiom,
% 0.20/0.49 agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ).
% 0.20/0.49
% 0.20/0.49 thf(ax_001,axiom,
% 0.20/0.49 agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ).
% 0.20/0.49
% 0.20/0.49 thf(ax_002,axiom,
% 0.20/0.49 instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ).
% 0.20/0.49
% 0.20/0.49 thf(ax_003,axiom,
% 0.20/0.49 holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ).
% 0.20/0.49
% 0.20/0.49 %----The relevant handselected axioms from SUMO
% 0.20/0.49 thf(ax_004,axiom,
% 0.20/0.49 ! [MEET: $i,AGENT2: $i,AGENT1: $i] :
% 0.20/0.49 ( ( ( instance_THFTYPE_IiioI @ MEET @ lMeeting_THFTYPE_i )
% 0.20/0.49 & ( agent_THFTYPE_IiioI @ MEET @ AGENT1 )
% 0.20/0.49 & ( agent_THFTYPE_IiioI @ MEET @ AGENT2 ) )
% 0.20/0.49 => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ MEET ) @ ( orientation_THFTYPE_IiiioI @ AGENT1 @ AGENT2 @ lNear_THFTYPE_i ) ) ) ).
% 0.20/0.49
% 0.20/0.49 thf(ax_005,axiom,
% 0.20/0.49 ! [OBJ1: $i,OBJ2: $i] :
% 0.20/0.49 ( ( orientation_THFTYPE_IiiioI @ OBJ1 @ OBJ2 @ lNear_THFTYPE_i )
% 0.35/0.55 => ( (~) @ ( connected_THFTYPE_IiioI @ OBJ1 @ OBJ2 ) ) ) ).
% 0.35/0.55
% 0.35/0.55 %----The translated conjectures
% 0.35/0.55 thf(con,conjecture,
% 0.35/0.55 holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( (~) @ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ).
% 0.35/0.55
% 0.35/0.55 %------------------------------------------------------------------------------
% 0.35/0.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.eOc4Y1zklZ/cvc5---1.0.5_3634.p...
% 0.35/0.55 (declare-sort $$unsorted 0)
% 0.35/0.55 (declare-sort tptp.num 0)
% 0.35/0.55 (declare-fun tptp.agent_THFTYPE_IiioI ($$unsorted $$unsorted) Bool)
% 0.35/0.55 (declare-fun tptp.connected_THFTYPE_IiioI ($$unsorted $$unsorted) Bool)
% 0.35/0.55 (declare-fun tptp.holdsDuring_THFTYPE_IiooI ($$unsorted Bool) Bool)
% 0.35/0.55 (declare-fun tptp.instance_THFTYPE_IiioI ($$unsorted $$unsorted) Bool)
% 0.35/0.55 (declare-fun tptp.lCADE_BM_THFTYPE_i () $$unsorted)
% 0.35/0.55 (declare-fun tptp.lMariaPaola_THFTYPE_i () $$unsorted)
% 0.35/0.55 (declare-fun tptp.lMeeting_THFTYPE_i () $$unsorted)
% 0.35/0.55 (declare-fun tptp.lReiner_THFTYPE_i () $$unsorted)
% 0.35/0.55 (declare-fun tptp.lWhenFn_THFTYPE_IiiI ($$unsorted) $$unsorted)
% 0.35/0.55 (declare-fun tptp.lNear_THFTYPE_i () $$unsorted)
% 0.35/0.55 (declare-fun tptp.orientation_THFTYPE_IiiioI ($$unsorted $$unsorted $$unsorted) Bool)
% 0.35/0.55 (assert (@ (@ tptp.agent_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i) tptp.lReiner_THFTYPE_i))
% 0.35/0.55 (assert (@ (@ tptp.agent_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i) tptp.lMariaPaola_THFTYPE_i))
% 0.35/0.55 (assert (@ (@ tptp.instance_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i) tptp.lMeeting_THFTYPE_i))
% 0.35/0.55 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lWhenFn_THFTYPE_IiiI tptp.lCADE_BM_THFTYPE_i)) true))
% 0.35/0.55 (assert (forall ((MEET $$unsorted) (AGENT2 $$unsorted) (AGENT1 $$unsorted)) (let ((_let_1 (@ tptp.agent_THFTYPE_IiioI MEET))) (=> (and (@ (@ tptp.instance_THFTYPE_IiioI MEET) tptp.lMeeting_THFTYPE_i) (@ _let_1 AGENT1) (@ _let_1 AGENT2)) (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lWhenFn_THFTYPE_IiiI MEET)) (@ (@ (@ tptp.orientation_THFTYPE_IiiioI AGENT1) AGENT2) tptp.lNear_THFTYPE_i))))))
% 0.35/0.55 (assert (forall ((OBJ1 $$unsorted) (OBJ2 $$unsorted)) (=> (@ (@ (@ tptp.orientation_THFTYPE_IiiioI OBJ1) OBJ2) tptp.lNear_THFTYPE_i) (not (@ (@ tptp.connected_THFTYPE_IiioI OBJ1) OBJ2)))))
% 0.35/0.55 (assert (not (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lWhenFn_THFTYPE_IiiI tptp.lCADE_BM_THFTYPE_i)) (not (@ (@ tptp.connected_THFTYPE_IiioI tptp.lMariaPaola_THFTYPE_i) tptp.lReiner_THFTYPE_i)))))
% 0.35/0.55 (set-info :filename cvc5---1.0.5_3634)
% 0.35/0.55 (check-sat-assuming ( true ))
% 0.35/0.55 ------- get file name : TPTP file name is CSR141^1
% 0.35/0.55 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3634.smt2...
% 0.35/0.55 --- Run --ho-elim --full-saturate-quant at 10...
% 0.35/0.55 % SZS status Theorem for CSR141^1
% 0.35/0.55 % SZS output start Proof for CSR141^1
% 0.35/0.55 (
% 0.35/0.55 (let ((_let_1 (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lWhenFn_THFTYPE_IiiI tptp.lCADE_BM_THFTYPE_i)))) (let ((_let_2 (not (@ _let_1 (not (@ (@ tptp.connected_THFTYPE_IiioI tptp.lMariaPaola_THFTYPE_i) tptp.lReiner_THFTYPE_i)))))) (let ((_let_3 (forall ((OBJ1 $$unsorted) (OBJ2 $$unsorted)) (=> (@ (@ (@ tptp.orientation_THFTYPE_IiiioI OBJ1) OBJ2) tptp.lNear_THFTYPE_i) (not (@ (@ tptp.connected_THFTYPE_IiioI OBJ1) OBJ2)))))) (let ((_let_4 (forall ((MEET $$unsorted) (AGENT2 $$unsorted) (AGENT1 $$unsorted)) (let ((_let_1 (@ tptp.agent_THFTYPE_IiioI MEET))) (=> (and (@ (@ tptp.instance_THFTYPE_IiioI MEET) tptp.lMeeting_THFTYPE_i) (@ _let_1 AGENT1) (@ _let_1 AGENT2)) (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lWhenFn_THFTYPE_IiiI MEET)) (@ (@ (@ tptp.orientation_THFTYPE_IiiioI AGENT1) AGENT2) tptp.lNear_THFTYPE_i))))))) (let ((_let_5 (@ _let_1 true))) (let ((_let_6 (@ (@ tptp.instance_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i) tptp.lMeeting_THFTYPE_i))) (let ((_let_7 (@ tptp.agent_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i))) (let ((_let_8 (@ _let_7 tptp.lMariaPaola_THFTYPE_i))) (let ((_let_9 (@ _let_7 tptp.lReiner_THFTYPE_i))) (let ((_let_10 (ho_9 k_8 (ho_7 k_6 tptp.lCADE_BM_THFTYPE_i)))) (let ((_let_11 (ho_10 _let_10 BOOLEAN_TERM_VARIABLE_971))) (let ((_let_12 (ho_10 _let_10 BOOLEAN_TERM_VARIABLE_1383))) (let ((_let_13 (APPLY_UF ho_10))) (let ((_let_14 (ho_4 (ho_3 k_13 tptp.lMariaPaola_THFTYPE_i) tptp.lReiner_THFTYPE_i))) (let ((_let_15 (not _let_14))) (let ((_let_16 (MACRO_SR_PRED_INTRO :args ((= _let_15 BOOLEAN_TERM_VARIABLE_971))))) (let ((_let_17 (REFL :args (_let_10)))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (PREPROCESS :args ((= _let_2 (not (ho_10 _let_10 _let_15))))) (CONG (CONG _let_17 _let_16 :args _let_13) :args (not)))))) (let ((_let_19 (ho_10 _let_10 BOOLEAN_TERM_VARIABLE_960))) (let ((_let_20 (not BOOLEAN_TERM_VARIABLE_971))) (let ((_let_21 (MACRO_SR_PRED_INTRO :args ((= true BOOLEAN_TERM_VARIABLE_960))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (PREPROCESS :args ((= _let_5 (ho_10 _let_10 true)))) (CONG _let_17 _let_21 :args _let_13))))) (let ((_let_23 ((= BOOLEAN_TERM_VARIABLE_960 true)))) (let ((_let_24 (EQ_RESOLVE (MACRO_SR_PRED_INTRO :args _let_23) (REWRITE :args _let_23)))) (let ((_let_25 (not BOOLEAN_TERM_VARIABLE_960))) (let ((_let_26 (not _let_19))) (let ((_let_27 (or))) (let ((_let_28 (not _let_11))) (let ((_let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_11))))) (let ((_let_30 (_let_20))) (let ((_let_31 (BOOLEAN_TERM_VARIABLE_971))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (FALSE_INTRO _let_18))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_22 _let_24 _let_32 _let_18) :args (BOOLEAN_TERM_VARIABLE_960 _let_19 BOOLEAN_TERM_VARIABLE_971 _let_28)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_33) (CONG _let_17 (TRANS (TRUE_INTRO _let_32) _let_21) :args _let_13) (TRUE_INTRO _let_22))) :args (_let_19 BOOLEAN_TERM_VARIABLE_960 BOOLEAN_TERM_VARIABLE_971 _let_28)) :args ((not (and BOOLEAN_TERM_VARIABLE_960 _let_19 BOOLEAN_TERM_VARIABLE_971 _let_28)) SB_LITERAL))) (CONG (REFL :args (_let_25)) (REFL :args (_let_26)) (REFL :args _let_30) _let_29 :args _let_27)) :args ((or _let_11 _let_26 _let_25 _let_20))) _let_24 _let_18 _let_22 :args (_let_20 false BOOLEAN_TERM_VARIABLE_960 true _let_11 false _let_19)))) (let ((_let_35 (ho_4 (ho_3 (ho_12 k_11 tptp.lMariaPaola_THFTYPE_i) tptp.lReiner_THFTYPE_i) tptp.lNear_THFTYPE_i))) (let ((_let_36 (not BOOLEAN_TERM_VARIABLE_1383))) (let ((_let_37 (not _let_35))) (let ((_let_38 (or _let_37 _let_15))) (let ((_let_39 (forall ((OBJ1 $$unsorted) (OBJ2 $$unsorted)) (or (not (ho_4 (ho_3 (ho_12 k_11 OBJ1) OBJ2) tptp.lNear_THFTYPE_i)) (not (ho_4 (ho_3 k_13 OBJ1) OBJ2)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((OBJ1 $$unsorted) (OBJ2 $$unsorted)) (or (not (@ (@ (@ tptp.orientation_THFTYPE_IiiioI OBJ1) OBJ2) tptp.lNear_THFTYPE_i)) (not (@ (@ tptp.connected_THFTYPE_IiioI OBJ1) OBJ2)))) _let_39))))))) (let ((_let_41 (SYMM (MACRO_SR_PRED_INTRO :args ((= BOOLEAN_TERM_VARIABLE_1383 _let_35)))))) (let ((_let_42 (ho_3 k_2 tptp.lCADE_BM_THFTYPE_i))) (let ((_let_43 (ho_4 _let_42 tptp.lReiner_THFTYPE_i))) (let ((_let_44 (not _let_43))) (let ((_let_45 (ho_4 _let_42 tptp.lMariaPaola_THFTYPE_i))) (let ((_let_46 (not _let_45))) (let ((_let_47 (ho_4 (ho_3 k_5 tptp.lCADE_BM_THFTYPE_i) tptp.lMeeting_THFTYPE_i))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_44 _let_12))) (let ((_let_50 (forall ((MEET $$unsorted) (AGENT2 $$unsorted) (AGENT1 $$unsorted)) (let ((_let_1 (ho_3 k_2 MEET))) (or (not (ho_4 (ho_3 k_5 MEET) tptp.lMeeting_THFTYPE_i)) (not (ho_4 _let_1 AGENT1)) (not (ho_4 _let_1 AGENT2)) (ho_10 (ho_9 k_8 (ho_7 k_6 MEET)) (ho_4 (ho_3 (ho_12 k_11 AGENT1) AGENT2) tptp.lNear_THFTYPE_i))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((MEET $$unsorted) (AGENT2 $$unsorted) (AGENT1 $$unsorted)) (let ((_let_1 (@ tptp.agent_THFTYPE_IiioI MEET))) (or (not (@ (@ tptp.instance_THFTYPE_IiioI MEET) tptp.lMeeting_THFTYPE_i)) (not (@ _let_1 AGENT1)) (not (@ _let_1 AGENT2)) (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lWhenFn_THFTYPE_IiiI MEET)) (@ (@ (@ tptp.orientation_THFTYPE_IiiioI AGENT1) AGENT2) tptp.lNear_THFTYPE_i))))) _let_50))))))) (let ((_let_52 (_let_50))) (let ((_let_53 (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_54 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_55 (forall ((u |u_(-> $$unsorted Bool Bool)|) (e |u_(-> Bool Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_56 (forall ((x |u_(-> $$unsorted Bool Bool)|) (y |u_(-> $$unsorted Bool Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_57 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_58 (forall ((x |u_(-> $$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_59 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_10 v ii) (ite (= i ii) e (ho_10 u ii)))))))))) (let ((_let_60 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_10 x z) (ho_10 y z)))) (= x y))))) (let ((_let_61 (forall ((u |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_12 v ii) (ite (= i ii) e (ho_12 u ii)))))))))) (let ((_let_62 (forall ((x |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_12 x z) (ho_12 y z)))) (= x y))))) (let ((_let_63 (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_64 (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_65 (not _let_12))) (let ((_let_66 (and _let_28 _let_20 _let_36))) (let ((_let_67 (_let_28 _let_20 _let_36))) (let ((_let_68 (ASSUME :args _let_30))) (let ((_let_69 (ASSUME :args (_let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_18 _let_68 _let_69) (SCOPE (FALSE_ELIM (TRANS (CONG _let_17 (TRANS (FALSE_INTRO _let_69) (SYMM (FALSE_INTRO _let_68))) :args _let_13) _let_33)) :args _let_67)) :args _let_67)) :args (true _let_66)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) BOOLEAN_TERM_VARIABLE_971))) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) BOOLEAN_TERM_VARIABLE_1383))) (REFL :args (_let_65)) :args _let_27)) :args ((or BOOLEAN_TERM_VARIABLE_971 _let_11 BOOLEAN_TERM_VARIABLE_1383 _let_65))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_44 _let_46 _let_48 _let_12 (not _let_49)))) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_9)) (PREPROCESS :args ((= _let_9 _let_43)))) (PREPROCESS :args ((and _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53)))) :args ((and _let_43 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53))) :args (0)) (EQ_RESOLVE (ASSUME :args (_let_8)) (PREPROCESS :args ((= _let_8 _let_45)))) (EQ_RESOLVE (ASSUME :args (_let_6)) (PREPROCESS :args ((= _let_6 _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_51 :args (tptp.lCADE_BM_THFTYPE_i tptp.lReiner_THFTYPE_i tptp.lMariaPaola_THFTYPE_i QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52) (CONG (REFL :args _let_52) (CONG (REFL :args (_let_48)) (REFL :args (_let_46)) (REFL :args (_let_44)) (CONG _let_17 _let_41 :args _let_13) :args _let_27) :args (=>)))) _let_51 :args (_let_49 false _let_50)) :args (_let_12 false _let_43 false _let_45 false _let_47 false _let_49)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_41) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_15 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (EQUIV_ELIM1 _let_16) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) (REFL :args _let_31) :args _let_27)) _let_34 :args (_let_14 true BOOLEAN_TERM_VARIABLE_971)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.lMariaPaola_THFTYPE_i tptp.lReiner_THFTYPE_i QUANTIFIERS_INST_E_MATCHING ((not (= (ho_4 (ho_3 k_13 OBJ1) OBJ2) false))))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_37 false _let_14 false _let_38)) :args (_let_36 true _let_35)) _let_34 _let_18 :args (false false _let_12 true BOOLEAN_TERM_VARIABLE_1383 true BOOLEAN_TERM_VARIABLE_971 true _let_11)) :args (_let_9 _let_8 _let_6 _let_5 _let_4 _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.35/0.55 )
% 0.35/0.55 % SZS output end Proof for CSR141^1
% 0.35/0.55 % cvc5---1.0.5 exiting
% 0.35/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------