0.00/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.11	% Command    : do_cvc5 %s %d THM
0.10/0.31	% Computer : n004.cluster.edu
0.10/0.31	% Model    : x86_64 x86_64
0.10/0.31	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory   : 8042.1875MB
0.10/0.31	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1440
0.10/0.31	% WCLimit    : 180
0.10/0.31	% DateTime   : Thu Jul  4 07:54:24 EDT 2024
0.10/0.31	% CPUTime    : 
0.16/0.45	%----Proving TH0
20.44/20.79	--- Run --ho-elim --enum-inst at 10...
20.44/20.79	--- Run --ho-elim --no-e-matching --enum-inst at 10...
20.44/20.79	--- Run --mbqi --mbqi-fast-sygus at 20...
20.44/20.79	% SZS status Theorem for /export/starexec/sandbox/tmp/tmp.3wdUpRgYr5/cvc5---1.0.5_1813.smt2
20.44/20.79	% SZS output start Proof for /export/starexec/sandbox/tmp/tmp.3wdUpRgYr5/cvc5---1.0.5_1813.smt2
20.44/20.79	(declare-sort $$unsorted 0)
20.44/20.79	(declare-sort tptp.mu 0)
20.44/20.79	(declare-fun tptp.god (tptp.mu $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.positive ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mvalid ((-> $$unsorted Bool)) Bool)
20.44/20.79	(declare-fun tptp.mdia ((-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.rel ($$unsorted $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mbox ((-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mexists_indset ((-> (-> tptp.mu $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mexists_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mxor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mfalse ($$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mforall_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.minvalid ((-> $$unsorted Bool)) Bool)
20.44/20.79	(declare-fun tptp.mnot ((-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mand ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mimplies ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mimplied ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mbox_generic ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mequiv ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mdia_generic ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.meq_ind (tptp.mu tptp.mu $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mforall_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mexists_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mtrue ($$unsorted) Bool)
20.44/20.79	(declare-fun tptp.mforall_indset ((-> (-> tptp.mu $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
20.44/20.79	(define @v.0.BOUND_VARIABLE_675 () (alf.var "BOUND_VARIABLE_675" $$unsorted))
20.44/20.79	(define @v.0.P () (alf.var "P" (-> $$unsorted Bool)))
20.44/20.79	(define @v.2.Phi () (alf.var "Phi" (-> (-> tptp.mu $$unsorted Bool) $$unsorted Bool)))
20.44/20.79	(define @v.1.X () (alf.var "X" (-> tptp.mu $$unsorted Bool)))
20.44/20.79	(define @v.3.Phi () (alf.var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))
20.44/20.79	(define @v.1.Phi () (alf.var "Phi" (-> tptp.mu $$unsorted Bool)))
20.44/20.79	(define @v.0.W () (alf.var "W" $$unsorted))
20.44/20.79	(define @v.0.BOUND_VARIABLE_788 () (alf.var "BOUND_VARIABLE_788" tptp.mu))
20.44/20.79	(define @v.0.V () (alf.var "V" $$unsorted))
20.44/20.79	(define @v.0.Y () (alf.var "Y" tptp.mu))
20.44/20.79	(define @v.0.Phi () (alf.var "Phi" (-> $$unsorted Bool)))
20.44/20.79	(define @v.0.R () (alf.var "R" (-> $$unsorted $$unsorted Bool)))
20.44/20.79	(define @v.0.BOUND_VARIABLE_659 () (alf.var "BOUND_VARIABLE_659" $$unsorted))
20.44/20.79	(define @v.0.__flatten_var_0 () (alf.var "__flatten_var_0" $$unsorted))
20.44/20.79	(define @v.0.BOUND_VARIABLE_881 () (alf.var "BOUND_VARIABLE_881" tptp.mu))
20.44/20.79	(define @v.0.X () (alf.var "X" tptp.mu))
20.44/20.79	(define @v.0.Psi () (alf.var "Psi" (-> $$unsorted Bool)))
20.44/20.79	(define @v.0.BOUND_VARIABLE_6942 () (alf.var "BOUND_VARIABLE_6942" $$unsorted))
20.44/20.79	(define @v.0.BOUND_VARIABLE_2942 () (alf.var "BOUND_VARIABLE_2942" $$unsorted))
20.44/20.79	(define @t1 () (@list @v.0.W))
20.44/20.79	(define @t2 () (= tptp.mtrue (lambda @t1 true)))
20.44/20.79	(define @t3 () (= tptp.mfalse (lambda @t1 false)))
20.44/20.79	(define @t4 () (_ @v.0.Phi @v.0.W))
20.44/20.79	(define @t5 () (not @t4))
20.44/20.79	(define @t6 () (@list @v.0.Phi @v.0.W))
20.44/20.79	(define @t7 () (_ @v.0.Psi @v.0.W))
20.44/20.79	(define @t8 () (@list @v.0.Phi @v.0.Psi @v.0.W))
20.44/20.79	(define @t9 () (_ @v.1.Phi @v.0.X))
20.44/20.79	(define @t10 () (_ @t9 @v.0.W))
20.44/20.79	(define @t11 () (@list @v.0.X))
20.44/20.79	(define @t12 () (@list @v.1.Phi @v.0.W))
20.44/20.79	(define @t13 () (= tptp.mforall_ind (lambda @t12 (forall @t11 @t10))))
20.44/20.79	(define @t14 () (_ (_ @v.2.Phi @v.1.X) @v.0.W))
20.44/20.79	(define @t15 () (@list @v.1.X))
20.44/20.79	(define @t16 () (@list @v.2.Phi @v.0.W))
20.44/20.79	(define @t17 () (= tptp.mforall_indset (lambda @t16 (forall @t15 @t14))))
20.44/20.79	(define @t18 () (_ (_ @v.3.Phi @v.0.P) @v.0.W))
20.44/20.79	(define @t19 () (@list @v.0.P))
20.44/20.79	(define @t20 () (@list @v.3.Phi @v.0.W))
20.44/20.79	(define @t21 () (= tptp.mforall_prop (lambda @t20 (forall @t19 @t18))))
20.44/20.79	(define @t22 () (= tptp.mexists_ind (lambda @t12 (exists @t11 @t10))))
20.44/20.79	(define @t23 () (= tptp.mexists_indset (lambda @t16 (exists @t15 @t14))))
20.44/20.79	(define @t24 () (= tptp.mexists_prop (lambda @t20 (exists @t19 @t18))))
20.44/20.79	(define @t25 () (_ @v.0.Phi @v.0.V))
20.44/20.79	(define @t26 () (_ (_ @v.0.R @v.0.W) @v.0.V))
20.44/20.79	(define @t27 () (@list @v.0.V))
20.44/20.79	(define @t28 () (@list @v.0.R @v.0.Phi @v.0.W))
20.44/20.79	(define @t29 () (= tptp.mbox_generic (lambda @t28 (forall @t27 (or (not @t26) @t25)))))
20.44/20.79	(define @t30 () (= tptp.mdia_generic (lambda @t28 (exists @t27 (and @t26 @t25)))))
20.44/20.79	(define @t31 () (= tptp.mbox (_ tptp.mbox_generic tptp.rel)))
20.44/20.79	(define @t32 () (= tptp.mdia (_ tptp.mdia_generic tptp.rel)))
20.44/20.79	(define @t33 () (@list @v.0.Phi))
20.44/20.79	(define @t34 () (= tptp.mvalid (lambda @t33 (forall @t1 @t4))))
20.44/20.79	(define @t35 () (= tptp.minvalid (lambda @t33 (forall @t1 @t5))))
20.44/20.79	(define @t36 () (_ tptp.mimplies (_ tptp.positive @v.1.Phi)))
20.44/20.79	(define @t37 () (_ @t36 @t9))
20.44/20.79	(define @t38 () (@list @v.1.Phi @v.0.__flatten_var_0))
20.44/20.79	(define @t39 () (@list @v.0.X @v.0.__flatten_var_0))
20.44/20.79	(define @t40 () (= tptp.god (lambda @t39 (_ (_ tptp.mforall_indset (lambda @t38 (_ @t37 @v.0.__flatten_var_0))) @v.0.__flatten_var_0))))
20.44/20.79	(define @t41 () (not (_ tptp.mvalid (_ tptp.mdia (_ tptp.mexists_ind (lambda @t39 (_ (_ tptp.god @v.0.X) @v.0.__flatten_var_0)))))))
20.44/20.79	(define @t42 () (_ tptp.mvalid (_ tptp.mforall_indset (lambda @t38 (_ (_ @t36 (_ tptp.mdia (_ tptp.mexists_ind (lambda @t39 (_ @t9 @v.0.__flatten_var_0))))) @v.0.__flatten_var_0)))))
20.44/20.79	(define @t43 () (_ tptp.mvalid (_ tptp.positive tptp.god)))
20.44/20.79	(define @t44 () (@v.1.Phi @v.0.X @v.0.W))
20.44/20.79	(define @t45 () (@v.2.Phi @v.1.X @v.0.W))
20.44/20.79	(define @t46 () (@v.3.Phi @v.0.P @v.0.W))
20.44/20.79	(define @t47 () (@v.0.Phi @v.0.V))
20.44/20.79	(define @t48 () (not (@v.0.R @v.0.W @v.0.V)))
20.44/20.79	(define @t49 () (not @t47))
20.44/20.79	(define @t50 () (not (tptp.rel @v.0.W @v.0.V)))
20.44/20.79	(define @t51 () (@v.0.Phi @v.0.W))
20.44/20.79	(define @t52 () (forall @t15 (or (not (tptp.positive @v.1.X @v.0.__flatten_var_0)) (@v.1.X @v.0.X @v.0.__flatten_var_0))))
20.44/20.79	(define @t53 () (lambda @t39 @t52))
20.44/20.79	(define @t54 () (= tptp.god (lambda @t39 (_ (_ tptp.mforall_indset (lambda (@list @v.1.Phi @v.0.BOUND_VARIABLE_659) (_ @t37 @v.0.BOUND_VARIABLE_659))) @v.0.__flatten_var_0))))
20.44/20.79	(define @t55 () (not (forall @t15 (or (not (tptp.positive @v.1.X @v.0.V)) (@v.1.X @v.0.BOUND_VARIABLE_881 @v.0.V)))))
20.44/20.79	(define @t56 () (@list @v.0.V @v.0.BOUND_VARIABLE_881))
20.44/20.79	(define @t57 () (not (forall @t56 (or @t50 @t55))))
20.44/20.79	(define @t58 () (forall @t1 @t57))
20.44/20.79	(define @t59 () (not @t58))
20.44/20.79	(define @t60 () (@quantifiers_skolemize (exists @t1 (not @t57)) @v.0.W))
20.44/20.79	(define @t61 () (not (tptp.rel @t60 @v.0.V)))
20.44/20.79	(define @t62 () (forall @t56 (or @t61 @t55)))
20.44/20.79	(define @t63 () (not (not @t62)))
20.44/20.79	(define @t64 () (@purify @t53))
20.44/20.79	(define @t65 () (_ @t64 @v.0.X @v.0.__flatten_var_0))
20.44/20.79	(define @t66 () (forall @t39 (= @t52 @t65)))
20.44/20.79	(define @t67 () (forall @t39 (= @t65 (_ @t53 @v.0.X @v.0.__flatten_var_0))))
20.44/20.79	(define @t68 () (or @t61 (not (_ @t64 @v.0.BOUND_VARIABLE_788 @v.0.V))))
20.44/20.79	(define @t69 () (@list @v.0.V @v.0.BOUND_VARIABLE_788))
20.44/20.79	(define @t70 () (exists @t69 (not @t68)))
20.44/20.79	(define @t71 () (@quantifiers_skolemize @t70 @v.0.V))
20.44/20.79	(define @t72 () (@quantifiers_skolemize @t70 @v.0.BOUND_VARIABLE_788))
20.44/20.79	(define @t73 () (_ @t64 @t72 @t71))
20.44/20.79	(define @t74 () (forall @t15 (or (not (tptp.positive @v.1.X @t71)) (@v.1.X @t72 @t71))))
20.44/20.79	(define @t75 () (= @t73 @t74))
20.44/20.79	(define @t76 () (_ tptp.mvalid (_ tptp.mforall_indset (lambda @t38 (_ (_ @t36 (_ tptp.mdia (_ tptp.mexists_ind (lambda (@list @v.0.X @v.0.BOUND_VARIABLE_675) (_ @t9 @v.0.BOUND_VARIABLE_675))))) @v.0.__flatten_var_0)))))
20.44/20.79	(define @t77 () (forall @t1 (tptp.positive @t53 @v.0.W)))
20.44/20.79	(define @t78 () (tptp.positive @t64 @t60))
20.44/20.79	(define @t79 () (not (forall @t69 @t68)))
20.44/20.79	(define @t80 () (not @t78))
20.44/20.79	(define @t81 () (or @t80 @t79))
20.44/20.79	(define @t82 () (not @t73))
20.44/20.79	(define @t83 () (tptp.rel @t60 @t71))
20.44/20.79	(define @t84 () (not @t83))
20.44/20.79	(define @t85 () (or @t84 @t82))
20.44/20.79	(define @t86 () (not @t74))
20.44/20.79	(define @t87 () (or @t84 @t86))
20.44/20.79	(define @t88 () (not @t87))
20.44/20.79	(assume @p1 (= tptp.meq_ind (lambda (@list @v.0.X @v.0.Y @v.0.W) (= @v.0.X @v.0.Y))))
20.44/20.79	(assume @p2 @t2)
20.44/20.79	(assume @p3 @t3)
20.44/20.79	(assume @p4 (= tptp.mnot (lambda @t6 @t5)))
20.44/20.79	(assume @p5 (= tptp.mor (lambda @t8 (or @t4 @t7))))
20.44/20.79	(assume @p6 (= tptp.mand (lambda @t8 (and @t4 @t7))))
20.44/20.79	(assume @p7 (= tptp.mimplies (lambda @t8 (=> @t4 @t7))))
20.44/20.79	(assume @p8 (= tptp.mimplied (lambda @t8 (=> @t7 @t4))))
20.44/20.79	(assume @p9 (= tptp.mequiv (lambda @t8 (= @t4 @t7))))
20.44/20.79	(assume @p10 (= tptp.mxor (lambda @t8 (or (and @t4 (not @t7)) (and @t5 @t7)))))
20.44/20.79	(assume @p11 @t13)
20.44/20.79	(assume @p12 @t17)
20.44/20.79	(assume @p13 @t21)
20.44/20.79	(assume @p14 @t22)
20.44/20.79	(assume @p15 @t23)
20.44/20.79	(assume @p16 @t24)
20.44/20.79	(assume @p17 @t29)
20.44/20.79	(assume @p18 @t30)
20.44/20.79	(assume @p19 @t31)
20.44/20.79	(assume @p20 @t32)
20.44/20.79	(assume @p21 @t34)
20.44/20.79	(assume @p22 @t35)
20.44/20.79	(assume @p23 @t40)
20.44/20.79	(assume @p24 @t41)
20.44/20.79	(assume @p25 @t42)
20.44/20.79	(assume @p26 @t43)
20.44/20.79	(assume @p27 true)
20.44/20.79	; WARNING: add trust step for MACRO_SR_EQ_INTRO
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p28 :rule trust :premises () :args ((= @t2 (= tptp.mtrue (lambda (@list @v.0.BOUND_VARIABLE_6942) true)))))
20.44/20.79	(step @p29 :rule eq_resolve :premises (@p2 @p28))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p30 :rule trust :premises () :args ((= @t3 (= tptp.mfalse (lambda (@list @v.0.BOUND_VARIABLE_2942) false)))))
20.44/20.79	(step @p31 :rule eq_resolve :premises (@p3 @p30))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p32 :rule trust :premises () :args ((= @t13 (= tptp.mforall_ind (lambda @t12 (forall @t11 @t44))))))
20.44/20.79	(step @p33 :rule eq_resolve :premises (@p11 @p32))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p34 :rule trust :premises () :args ((= @t17 (= tptp.mforall_indset (lambda @t16 (forall @t15 @t45))))))
20.44/20.79	(step @p35 :rule eq_resolve :premises (@p12 @p34))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p36 :rule trust :premises () :args ((= @t21 (= tptp.mforall_prop (lambda @t20 (forall @t19 @t46))))))
20.44/20.79	(step @p37 :rule eq_resolve :premises (@p13 @p36))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p38 :rule trust :premises () :args ((= @t22 (= tptp.mexists_ind (lambda @t12 (not (forall @t11 (not @t44))))))))
20.44/20.79	(step @p39 :rule eq_resolve :premises (@p14 @p38))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p40 :rule trust :premises () :args ((= @t23 (= tptp.mexists_indset (lambda @t16 (not (forall @t15 (not @t45))))))))
20.44/20.79	(step @p41 :rule eq_resolve :premises (@p15 @p40))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p42 :rule trust :premises () :args ((= @t24 (= tptp.mexists_prop (lambda @t20 (not (forall @t19 (not @t46))))))))
20.44/20.79	(step @p43 :rule eq_resolve :premises (@p16 @p42))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p44 :rule trust :premises () :args ((= @t29 (= tptp.mbox_generic (lambda @t28 (forall @t27 (or @t48 @t47)))))))
20.44/20.79	(step @p45 :rule eq_resolve :premises (@p17 @p44))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p46 :rule trust :premises () :args ((= @t30 (= tptp.mdia_generic (lambda @t28 (not (forall @t27 (or @t48 @t49))))))))
20.44/20.79	(step @p47 :rule eq_resolve :premises (@p18 @p46))
20.44/20.79	(step @p48 :rule and_intro :premises (@p47 @p45 @p43 @p41 @p39 @p37 @p35 @p33 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p31 @p29 @p1))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p49 :rule trust :premises (@p48) :args ((= @t31 (= tptp.mbox (lambda @t6 (forall @t27 (or @t50 @t47)))))))
20.44/20.79	(step @p50 :rule eq_resolve :premises (@p19 @p49))
20.44/20.79	(step @p51 :rule and_intro :premises (@p50 @p47 @p45 @p43 @p41 @p39 @p37 @p35 @p33 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p31 @p29 @p1))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p52 :rule trust :premises (@p51) :args ((= @t32 (= tptp.mdia (lambda @t6 (not (forall @t27 (or @t50 @t49))))))))
20.44/20.79	(step @p53 :rule eq_resolve :premises (@p20 @p52))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p54 :rule trust :premises () :args ((= @t34 (= tptp.mvalid (lambda @t33 (forall @t1 @t51))))))
20.44/20.79	(step @p55 :rule eq_resolve :premises (@p21 @p54))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p56 :rule trust :premises () :args ((= @t35 (= tptp.minvalid (lambda @t33 (forall @t1 (not @t51)))))))
20.44/20.79	(step @p57 :rule eq_resolve :premises (@p22 @p56))
20.44/20.79	(step @p58 :rule and_intro :premises (@p57 @p55 @p53 @p50 @p47 @p45 @p43 @p41 @p39 @p37 @p35 @p33 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p31 @p29 @p1))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p59 :rule trust :premises (@p58) :args ((= @t54 (= tptp.god @t53))))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p60 :rule trust :premises () :args ((= @t40 @t54)))
20.44/20.79	(step @p61 :rule eq_resolve :premises (@p23 @p60))
20.44/20.79	(step @p62 :rule eq_resolve :premises (@p61 @p59))
20.44/20.79	(step @p63 :rule and_intro :premises (@p62 @p57 @p55 @p53 @p50 @p47 @p45 @p43 @p41 @p39 @p37 @p35 @p33 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p31 @p29 @p1))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p64 :rule trust :premises (@p63) :args ((= @t41 @t59)))
20.44/20.79	(step @p65 :rule eq_resolve :premises (@p24 @p64))
20.44/20.79	(step @p66 :rule refl :args (@t62))
20.44/20.79	; WARNING: add trust step for MACRO_SR_PRED_INTRO
20.44/20.79	; trust MACRO_SR_PRED_INTRO
20.44/20.79	(step @p67 :rule trust :premises () :args ((= (not @t59) @t58)))
20.44/20.79	(step @p68 :rule nary_cong :premises (@p67 @p66) :args (or))
20.44/20.79	; WARNING: add trust step for MACRO_REWRITE
20.44/20.79	; trust MACRO_REWRITE
20.44/20.79	(step @p69 :rule trust :premises () :args ((= (=> @t59 @t63) (=> @t59 @t62))))
20.44/20.79	(assume-push @p70 @t59)
20.44/20.79	(step @p71 :rule skolemize :premises (@p65))
20.44/20.79	(step-pop @p135 :rule scope :premises (@p71))
20.44/20.79	(step @p72 :rule process_scope :premises (@p135) :args (@t63))
20.44/20.79	(step @p74 :rule eq_resolve :premises (@p72 @p69))
20.44/20.79	(step @p75 :rule implies_elim :premises (@p74))
20.44/20.79	(step @p76 :rule eq_resolve :premises (@p75 @p68))
20.44/20.79	; WARNING: add trust step for MACRO_RESOLUTION_TRUST
20.44/20.79	; trust MACRO_RESOLUTION_TRUST
20.44/20.79	(step @p77 :rule trust :premises (@p76 @p65) :args (@t62))
20.44/20.79	; trust MACRO_REWRITE
20.44/20.79	(step @p78 :rule trust :premises () :args ((= @t67 @t66)))
20.44/20.79	; trust MACRO_SR_PRED_INTRO
20.44/20.79	(step @p79 :rule trust :premises () :args (@t67))
20.44/20.79	(step @p80 :rule eq_resolve :premises (@p79 @p78))
20.44/20.79	(assume-push @p81 @t66)
20.44/20.79	(step @p82 :rule instantiate :premises (@p80) :args ((@list @t72 @t71)))
20.44/20.79	(step-pop @p136 :rule scope :premises (@p82))
20.44/20.79	(step @p83 :rule process_scope :premises (@p136) :args ((= @t74 @t73)))
20.44/20.79	; WARNING: add trust step for MACRO_SR_PRED_ELIM
20.44/20.79	; trust MACRO_SR_PRED_ELIM
20.44/20.79	(step @p85 :rule trust :premises (@p83) :args ((=> @t66 @t75)))
20.44/20.79	(step @p86 :rule implies_elim :premises (@p85))
20.44/20.79	; trust MACRO_RESOLUTION_TRUST
20.44/20.79	(step @p87 :rule trust :premises (@p86 @p80) :args (@t75))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p88 :rule trust :premises (@p63) :args ((= @t76 (forall (@list @v.0.W @v.1.X) (or (not (tptp.positive @v.1.X @v.0.W)) (not (forall @t69 (or @t50 (not (@v.1.X @v.0.BOUND_VARIABLE_788 @v.0.V))))))))))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p89 :rule trust :premises () :args ((= @t42 @t76)))
20.44/20.79	(step @p90 :rule trans :premises (@p89 @p88))
20.44/20.79	(step @p91 :rule eq_resolve :premises (@p25 @p90))
20.44/20.79	(step @p92 :rule instantiate :premises (@p91) :args ((@list @t60 @t64)))
20.44/20.79	; trust MACRO_SR_EQ_INTRO
20.44/20.79	(step @p93 :rule trust :premises (@p63) :args ((= @t43 @t77)))
20.44/20.79	(step @p94 :rule eq_resolve :premises (@p26 @p93))
20.44/20.79	(step @p95 :rule refl :args (@t60))
20.44/20.79	; trust MACRO_SR_PRED_INTRO
20.44/20.79	(step @p96 :rule trust :premises () :args ((= @t53 @t64)))
20.44/20.79	(step @p97 :rule cong :premises (@p96 @p95) :args (tptp.positive))
20.44/20.79	(step @p98 :rule refl :args (@t77))
20.44/20.79	(step @p99 :rule cong :premises (@p98 @p97) :args (=>))
20.44/20.79	(assume-push @p100 @t77)
20.44/20.79	(step @p101 :rule instantiate :premises (@p94) :args ((@list @t60)))
20.44/20.79	(step-pop @p137 :rule scope :premises (@p101))
20.44/20.79	(step @p102 :rule process_scope :premises (@p137) :args ((tptp.positive @t53 @t60)))
20.44/20.79	(step @p104 :rule eq_resolve :premises (@p102 @p99))
20.44/20.79	(step @p105 :rule implies_elim :premises (@p104))
20.44/20.79	; trust MACRO_RESOLUTION_TRUST
20.44/20.79	(step @p106 :rule trust :premises (@p105 @p94) :args (@t78))
20.44/20.79	(step @p107 :rule cnf_or_pos :args (@t81))
20.44/20.79	(step @p108 :rule reordering :premises (@p107) :args ((or @t80 @t79 (not @t81))))
20.44/20.79	; trust MACRO_RESOLUTION_TRUST
20.44/20.79	(step @p109 :rule trust :premises (@p108 @p106 @p92) :args (@t79))
20.44/20.79	(step @p110 :rule skolemize :premises (@p109))
20.44/20.79	; trust MACRO_SR_PRED_INTRO
20.44/20.79	(step @p111 :rule trust :premises () :args ((= (not @t82) @t73)))
20.44/20.79	(step @p112 :rule refl :args (@t85))
20.44/20.79	(step @p113 :rule nary_cong :premises (@p112 @p111) :args (or))
20.44/20.79	(step @p114 :rule cnf_or_neg :args (@t85 1))
20.44/20.79	(step @p115 :rule eq_resolve :premises (@p114 @p113))
20.44/20.79	(step @p116 :rule reordering :premises (@p115) :args ((or @t73 @t85)))
20.44/20.79	; trust MACRO_RESOLUTION_TRUST
20.44/20.79	(step @p117 :rule trust :premises (@p116 @p110) :args (@t73))
20.44/20.79	(step @p118 :rule cnf_equiv_pos1 :args (@t75))
20.44/20.79	(step @p119 :rule reordering :premises (@p118) :args ((or @t82 @t74 (not @t75))))
20.44/20.79	; trust MACRO_RESOLUTION_TRUST
20.44/20.79	(step @p120 :rule trust :premises (@p119 @p117 @p87) :args (@t74))
20.44/20.79	; trust MACRO_SR_PRED_INTRO
20.44/20.79	(step @p121 :rule trust :premises () :args ((= (not @t84) @t83)))
20.44/20.79	(step @p122 :rule nary_cong :premises (@p112 @p121) :args (or))
20.44/20.79	(step @p123 :rule cnf_or_neg :args (@t85 0))
20.44/20.79	(step @p124 :rule eq_resolve :premises (@p123 @p122))
20.44/20.79	(step @p125 :rule reordering :premises (@p124) :args ((or @t83 @t85)))
20.44/20.79	; trust MACRO_RESOLUTION_TRUST
20.44/20.79	(step @p126 :rule trust :premises (@p125 @p110) :args (@t83))
20.44/20.79	(step @p127 :rule cnf_or_pos :args (@t87))
20.44/20.79	(step @p128 :rule reordering :premises (@p127) :args ((or @t84 @t86 @t88)))
20.44/20.79	; trust MACRO_RESOLUTION_TRUST
20.44/20.79	(step @p129 :rule trust :premises (@p128 @p126 @p120) :args (@t88))
20.44/20.79	(assume-push @p130 @t62)
20.44/20.79	(step @p131 :rule instantiate :premises (@p77) :args ((@list @t71 @t72)))
20.44/20.79	(step-pop @p138 :rule scope :premises (@p131))
20.44/20.79	(step @p132 :rule process_scope :premises (@p138) :args (@t87))
20.44/20.79	(step @p134 :rule implies_elim :premises (@p132))
20.44/20.79	; trust MACRO_RESOLUTION_TRUST
20.44/20.79	(step @p135 false :rule trust :premises (@p134 @p129 @p77) :args (false))
20.44/20.79	
20.44/20.79	% SZS output end Proof for /export/starexec/sandbox/tmp/tmp.3wdUpRgYr5/cvc5---1.0.5_1813.smt2
20.44/20.79	% cvc5---1.0.5 exiting
20.44/20.79	% cvc5---1.0.5 exiting
20.44/20.80	EOF