TSTP Solution File: ALG278^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG278^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:09:10 EDT 2023
% Result : Theorem 36.21s 36.48s
% Output : Proof 36.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : ALG278^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n005.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 05:41:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TH0
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 % File : ALG278^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.21/0.50 % Domain : General Algebra
% 0.21/0.50 % Problem : TPS problem from GRP-THMS
% 0.21/0.50 % Version : Especial.
% 0.21/0.50 % English :
% 0.21/0.50
% 0.21/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.50 % Source : [Bro09]
% 0.21/0.50 % Names : tps_0702 [Bro09]
% 0.21/0.50
% 0.21/0.50 % Status : Theorem
% 0.21/0.50 % Rating : 0.31 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.60 v6.2.0, 0.43 v5.5.0, 0.50 v5.4.0, 0.80 v5.3.0
% 0.21/0.50 % Syntax : Number of formulae : 10 ( 4 unt; 5 typ; 4 def)
% 0.21/0.50 % Number of atoms : 16 ( 8 equ; 0 cnn)
% 0.21/0.50 % Maximal formula atoms : 2 ( 3 avg)
% 0.21/0.50 % Number of connectives : 24 ( 0 ~; 0 |; 2 &; 21 @)
% 0.21/0.50 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.21/0.50 % Maximal formula depth : 6 ( 2 avg)
% 0.21/0.50 % Number of types : 2 ( 1 usr)
% 0.21/0.50 % Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% 0.21/0.50 % Number of symbols : 5 ( 4 usr; 0 con; 1-2 aty)
% 0.21/0.50 % Number of variables : 16 ( 7 ^; 8 !; 1 ?; 16 :)
% 0.21/0.50 % SPC : TH0_THM_EQU_NAR
% 0.21/0.50
% 0.21/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.50 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.21/0.50 % : v5.3.0 - Fixed tType to $tType from last bugfixes.
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 thf(g_type,type,
% 0.21/0.50 g: $tType ).
% 0.21/0.50
% 0.21/0.50 thf(cGROUP2_type,type,
% 0.21/0.50 cGROUP2: ( g > g > g ) > g > $o ).
% 0.21/0.50
% 0.21/0.50 thf(cGRP_ASSOC_type,type,
% 0.21/0.50 cGRP_ASSOC: ( g > g > g ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(cGRP_LEFT_INVERSE_type,type,
% 0.21/0.50 cGRP_LEFT_INVERSE: ( g > g > g ) > g > $o ).
% 0.21/0.50
% 0.21/0.50 thf(cGRP_LEFT_UNIT_type,type,
% 0.21/0.50 cGRP_LEFT_UNIT: ( g > g > g ) > g > $o ).
% 0.21/0.50
% 0.21/0.50 thf(cGRP_ASSOC_def,definition,
% 0.21/0.50 ( cGRP_ASSOC
% 0.21/0.50 = ( ^ [Xf: g > g > g] :
% 0.21/0.50 ! [Xa: g,Xb: g,Xc: g] :
% 0.21/0.50 ( ( Xf @ ( Xf @ Xa @ Xb ) @ Xc )
% 0.21/0.50 = ( Xf @ Xa @ ( Xf @ Xb @ Xc ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(cGRP_LEFT_INVERSE_def,definition,
% 0.21/0.50 ( cGRP_LEFT_INVERSE
% 0.21/0.50 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.21/0.50 ! [Xa: g] :
% 0.21/0.50 ? [Xb: g] :
% 0.21/0.50 ( ( Xf @ Xb @ Xa )
% 0.21/0.50 = Xe ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(cGRP_LEFT_UNIT_def,definition,
% 0.21/0.50 ( cGRP_LEFT_UNIT
% 0.21/0.50 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.21/0.50 ! [Xa: g] :
% 0.21/0.50 ( ( Xf @ Xe @ Xa )
% 0.21/0.50 = Xa ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(cGROUP2_def,definition,
% 0.21/0.50 ( cGROUP2
% 0.21/0.50 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.21/0.50 ( ( cGRP_ASSOC @ Xf )
% 0.21/0.50 & ( cGRP_LEFT_UNIT @ Xf @ Xe )
% 0.21/0.50 & ( cGRP_LEFT_INVERSE @ Xf @ Xe ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(cE12A1,conjecture,
% 0.21/0.50 ! [Xf: g > g > g,Xe: g] :
% 0.21/0.50 ( ( cGROUP2 @ Xf @ Xe )
% 0.21/0.50 => ! [Xa: g] :
% 0.21/0.50 ( ( Xf @ Xa @ Xe )
% 0.21/0.50 = Xa ) ) ).
% 0.21/0.50
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lw0QfV23BJ/cvc5---1.0.5_21576.p...
% 0.21/0.50 (declare-sort $$unsorted 0)
% 0.21/0.50 (declare-sort tptp.g 0)
% 0.21/0.50 (declare-fun tptp.cGROUP2 ((-> tptp.g tptp.g tptp.g) tptp.g) Bool)
% 0.21/0.50 (declare-fun tptp.cGRP_ASSOC ((-> tptp.g tptp.g tptp.g)) Bool)
% 0.21/0.50 (declare-fun tptp.cGRP_LEFT_INVERSE ((-> tptp.g tptp.g tptp.g) tptp.g) Bool)
% 0.21/0.50 (declare-fun tptp.cGRP_LEFT_UNIT ((-> tptp.g tptp.g tptp.g) tptp.g) Bool)
% 0.21/0.50 (assert (= tptp.cGRP_ASSOC (lambda ((Xf (-> tptp.g tptp.g tptp.g))) (forall ((Xa tptp.g) (Xb tptp.g) (Xc tptp.g)) (let ((_let_1 (@ Xf Xa))) (= (@ (@ Xf (@ _let_1 Xb)) Xc) (@ _let_1 (@ (@ Xf Xb) Xc))))))))
% 0.21/0.50 (assert (= tptp.cGRP_LEFT_INVERSE (lambda ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g)) (forall ((Xa tptp.g)) (exists ((Xb tptp.g)) (= (@ (@ Xf Xb) Xa) Xe))))))
% 0.21/0.50 (assert (= tptp.cGRP_LEFT_UNIT (lambda ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g)) (forall ((Xa tptp.g)) (= (@ (@ Xf Xe) Xa) Xa)))))
% 0.21/0.50 (assert (= tptp.cGROUP2 (lambda ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g)) (and (@ tptp.cGRP_ASSOC Xf) (@ (@ tptp.cGRP_LEFT_UNIT Xf) Xe) (@ (@ tptp.cGRP_LEFT_INVERSE Xf) Xe)))))
% 36.21/36.48 (assert (not (forall ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g)) (=> (@ (@ tptp.cGROUP2 Xf) Xe) (forall ((Xa tptp.g)) (= (@ (@ Xf Xa) Xe) Xa))))))
% 36.21/36.48 (set-info :filename cvc5---1.0.5_21576)
% 36.21/36.48 (check-sat-assuming ( true ))
% 36.21/36.48 ------- get file name : TPTP file name is ALG278^5
% 36.21/36.48 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21576.smt2...
% 36.21/36.48 --- Run --ho-elim --full-saturate-quant at 10...
% 36.21/36.48 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 36.21/36.48 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 36.21/36.48 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 36.21/36.48 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 36.21/36.48 % SZS status Theorem for ALG278^5
% 36.21/36.48 % SZS output start Proof for ALG278^5
% 36.21/36.48 (
% 36.21/36.48 (let ((_let_1 (not (forall ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g)) (=> (@ (@ tptp.cGROUP2 Xf) Xe) (forall ((Xa tptp.g)) (= (@ (@ Xf Xa) Xe) Xa))))))) (let ((_let_2 (= tptp.cGROUP2 (lambda ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g)) (and (@ tptp.cGRP_ASSOC Xf) (@ (@ tptp.cGRP_LEFT_UNIT Xf) Xe) (@ (@ tptp.cGRP_LEFT_INVERSE Xf) Xe)))))) (let ((_let_3 (= tptp.cGRP_LEFT_UNIT (lambda ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g)) (forall ((Xa tptp.g)) (= (@ (@ Xf Xe) Xa) Xa)))))) (let ((_let_4 (= tptp.cGRP_LEFT_INVERSE (lambda ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g)) (forall ((Xa tptp.g)) (exists ((Xb tptp.g)) (= (@ (@ Xf Xb) Xa) Xe))))))) (let ((_let_5 (= tptp.cGRP_ASSOC (lambda ((Xf (-> tptp.g tptp.g tptp.g))) (forall ((Xa tptp.g) (Xb tptp.g) (Xc tptp.g)) (let ((_let_1 (@ Xf Xa))) (= (@ (@ Xf (@ _let_1 Xb)) Xc) (@ _let_1 (@ (@ Xf Xb) Xc))))))))) (let ((_let_6 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6))) (let ((_let_8 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_6))) (let ((_let_9 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_15 (= _let_6 _let_8))) (let ((_let_16 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_13))) (let ((_let_21 (= _let_10 _let_20))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17))) (let ((_let_23 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_25 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_6))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28))) (let ((_let_30 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_30 _let_6))) (let ((_let_32 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_8))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_35 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_30))) (let ((_let_36 (= _let_35 _let_34))) (let ((_let_37 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_38 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_23))) (let ((_let_39 (= _let_38 _let_37))) (let ((_let_40 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_23))) (let ((_let_41 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_40))) (let ((_let_42 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_41 _let_6))) (let ((_let_43 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40 _let_6))) (let ((_let_44 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_43))) (let ((_let_45 (= _let_44 _let_42))) (let ((_let_46 (forall ((Xa tptp.g)) (not (forall ((Xb tptp.g)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xb) Xa)))))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (forall ((Xa tptp.g)) (= Xa (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) Xa))))) (let ((_let_49 (not _let_48))) (let ((_let_50 (forall ((Xa tptp.g) (Xb tptp.g) (Xc tptp.g)) (let ((_let_1 (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xa))) (= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (@ _let_1 Xb)) Xc) (@ _let_1 (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xb) Xc))))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49 _let_47 _let_7))) (let ((_let_53 (not _let_7))) (let ((_let_54 (forall ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g) (BOUND_VARIABLE_677 tptp.g)) (or (not (forall ((Xa tptp.g) (Xb tptp.g) (Xc tptp.g)) (let ((_let_1 (@ Xf Xa))) (= (@ (@ Xf (@ _let_1 Xb)) Xc) (@ _let_1 (@ (@ Xf Xb) Xc)))))) (not (forall ((Xa tptp.g)) (= Xa (@ (@ Xf Xe) Xa)))) (not (forall ((Xa tptp.g)) (not (forall ((Xb tptp.g)) (not (= Xe (@ (@ Xf Xb) Xa))))))) (= BOUND_VARIABLE_677 (@ (@ Xf BOUND_VARIABLE_677) Xe)))))) (let ((_let_55 (not _let_52))) (let ((_let_56 (ASSUME :args (_let_5)))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_58 _let_57 _let_56) :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) _let_58 _let_57 _let_56) :args ((not (forall ((Xf (-> tptp.g tptp.g tptp.g)) (Xe tptp.g) (BOUND_VARIABLE_677 tptp.g)) (or (not (@ (@ tptp.cGROUP2 Xf) Xe)) (= BOUND_VARIABLE_677 (@ (@ Xf BOUND_VARIABLE_677) Xe))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_60 (or))) (let ((_let_61 (not _let_54))) (let ((_let_62 (=>))) (let ((_let_63 (=))) (let ((_let_64 (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_65 (THEORY_PREPROCESS :args ((= (@ _let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_6))))) (let ((_let_66 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_67 (_let_61))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_59) :args _let_67) (CONG (REFL :args _let_67) (CONG (CONG (REFL :args (_let_51)) (REFL :args (_let_49)) (REFL :args (_let_47)) (CONG _let_66 _let_65 :args _let_63) :args _let_60) :args (not)) :args _let_62))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_54))) (REFL :args (_let_55)) :args _let_60)) _let_59 :args (_let_55 true _let_54)))) (let ((_let_69 (REFL :args (_let_52)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_60)) :args ((or _let_50 _let_52))) _let_68 :args (_let_50 true _let_52)))) (let ((_let_71 (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_72 (@))) (let ((_let_73 (THEORY_PREPROCESS :args ((= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_10))))) (let ((_let_74 (REFL :args (_let_71)))) (let ((_let_75 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_76 (THEORY_PREPROCESS :args ((= (@ _let_71 _let_6) _let_8))))) (let ((_let_77 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_78 (_let_50))) (let ((_let_79 (REFL :args _let_78))) (let ((_let_80 (ASSUME :args _let_78))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 1)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_60)) :args ((or _let_48 _let_52))) _let_68 :args (_let_48 true _let_52)))) (let ((_let_82 (THEORY_PREPROCESS :args ((= (@ _let_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_13))))) (let ((_let_83 (_let_48))) (let ((_let_84 (REFL :args _let_83))) (let ((_let_85 (ASSUME :args _let_83))) (let ((_let_86 (REFL :args (_let_6)))) (let ((_let_87 (THEORY_PREPROCESS :args ((= (@ _let_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_17))))) (let ((_let_88 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_89 (forall ((Xb tptp.g)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xb) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_90 (not _let_89))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 2)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_60)) :args ((or _let_46 _let_52))) _let_68 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_let_9)))) (TRANS (CONG _let_74 _let_73 :args _let_72) (THEORY_PREPROCESS :args ((= (@ _let_71 _let_10) _let_11)))) :args _let_63) (REWRITE :args ((= _let_9 _let_11)))) :args _let_62))) _let_70 :args (_let_12 false _let_50)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 3)) _let_68 :args (_let_53 true _let_52)) :args (false false _let_45 false _let_39 false _let_36 false _let_33 false _let_29 false _let_27 false _let_24 false _let_22 false _let_21 false _let_19 false _let_15 false _let_14 false _let_12 true _let_7)) :args (_let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 36.21/36.49 )
% 36.21/36.49 % SZS output end Proof for ALG278^5
% 36.21/36.49 % cvc5---1.0.5 exiting
% 36.21/36.49 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------