0.02/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.10	% Command    : do_cvc5 %s %d THM
0.09/0.30	% Computer : n025.cluster.edu
0.09/0.30	% Model    : x86_64 x86_64
0.09/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory   : 8042.1875MB
0.09/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 1440
0.09/0.30	% WCLimit    : 180
0.09/0.30	% DateTime   : Thu Jul  4 07:20:24 EDT 2024
0.09/0.30	% CPUTime    : 
0.15/0.44	%----Proving TH0
10.85/11.05	--- Run --ho-elim --enum-inst at 10...
10.85/11.05	--- Run --ho-elim --no-e-matching --enum-inst at 10...
10.85/11.05	% SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.Z7NOsafxxR/cvc5---1.0.5_30300.smt2
10.85/11.05	% SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.Z7NOsafxxR/cvc5---1.0.5_30300.smt2
10.85/11.05	(declare-sort tptp.a 0)
10.85/11.05	(define @v.0.z () (alf.var "z" tptp.a))
10.85/11.05	(define @v.0.y () (alf.var "y" (@ho-elim-sort (-> tptp.a Bool))))
10.85/11.05	(define @v.0.BOUND_VARIABLE_570 () (alf.var "BOUND_VARIABLE_570" (@ho-elim-sort (-> tptp.a tptp.a Bool))))
10.85/11.05	(define @v.0.BOUND_VARIABLE_564 () (alf.var "BOUND_VARIABLE_564" (@ho-elim-sort (-> tptp.a Bool))))
10.85/11.05	(define @v.0.Xq () (alf.var "Xq" (-> tptp.a Bool)))
10.85/11.05	(define @v.0.Xx () (alf.var "Xx" tptp.a))
10.85/11.05	(define @v.0.Xp () (alf.var "Xp" (-> tptp.a Bool)))
10.85/11.05	(define @v.0.R () (alf.var "R" (-> tptp.a tptp.a Bool)))
10.85/11.05	(define @v.0.BOUND_VARIABLE_546 () (alf.var "BOUND_VARIABLE_546" tptp.a))
10.85/11.05	(define @v.0.Xx0 () (alf.var "Xx0" tptp.a))
10.85/11.05	(define @v.0.BOUND_VARIABLE_513 () (alf.var "BOUND_VARIABLE_513" tptp.a))
10.85/11.05	(define @v.0.BOUND_VARIABLE_479 () (alf.var "BOUND_VARIABLE_479" tptp.a))
10.85/11.05	(define @v.0.Xy () (alf.var "Xy" tptp.a))
10.85/11.05	(define @v.0.Xz () (alf.var "Xz" tptp.a))
10.85/11.05	(define @v.0.x () (alf.var "x" (@ho-elim-sort (-> tptp.a Bool))))
10.85/11.05	(define @v.0.BOUND_VARIABLE_581 () (alf.var "BOUND_VARIABLE_581" (@ho-elim-sort (-> tptp.a Bool))))
10.85/11.05	(define @t1 () (_ (_ @v.0.R @v.0.Xx0) @v.0.Xy))
10.85/11.05	(define @t2 () (@list @v.0.Xy))
10.85/11.05	(define @t3 () (@list @v.0.Xx0))
10.85/11.05	(define @t4 () (@list @v.0.Xq))
10.85/11.05	(define @t5 () (@list @v.0.Xp))
10.85/11.05	(define @t6 () (@list @v.0.Xx))
10.85/11.05	(define @t7 () (_ @v.0.R @v.0.Xx))
10.85/11.05	(define @t8 () (_ @t7 @v.0.Xy))
10.85/11.05	(define @t9 () (_ @v.0.R @v.0.Xy))
10.85/11.05	(define @t10 () (@list @v.0.Xx @v.0.Xy @v.0.Xz))
10.85/11.05	(define @t11 () (@list @v.0.Xx @v.0.Xy))
10.85/11.05	(define @t12 () (not (forall (@list @v.0.R) (=> (and (forall @t6 (_ @t7 @v.0.Xx)) (forall @t11 (=> @t8 (_ @t9 @v.0.Xx))) (forall @t10 (=> (and (_ @t9 @v.0.Xz) @t8) (_ @t7 @v.0.Xz)))) (forall @t6 (exists @t5 (and (_ @v.0.Xp @v.0.Xx) (forall @t4 (=> (and (_ @v.0.Xq @v.0.Xx) (forall @t3 (=> (_ @v.0.Xq @v.0.Xx0) (forall @t2 (= (_ @v.0.Xq @v.0.Xy) @t1))))) (= @v.0.Xq @v.0.Xp))) (forall @t3 (=> (_ @v.0.Xp @v.0.Xx0) (forall @t2 (= @t1 (_ @v.0.Xp @v.0.Xy))))))))))))
10.85/11.05	(define @t13 () (const 0 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool)))))
10.85/11.05	(define @t14 () (_ @t13 @v.0.BOUND_VARIABLE_570 @v.0.Xx0))
10.85/11.05	(define @t15 () (const 1 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool)))
10.85/11.05	(define @t16 () (_ @t15 @v.0.BOUND_VARIABLE_564 @v.0.BOUND_VARIABLE_513))
10.85/11.05	(define @t17 () (not (_ @t15 @v.0.BOUND_VARIABLE_564 @v.0.Xx0)))
10.85/11.05	(define @t18 () (@list @v.0.Xx0 @v.0.BOUND_VARIABLE_513))
10.85/11.05	(define @t19 () (= @v.0.BOUND_VARIABLE_564 @v.0.BOUND_VARIABLE_581))
10.85/11.05	(define @t20 () (_ @t15 @v.0.BOUND_VARIABLE_581 @v.0.BOUND_VARIABLE_479))
10.85/11.05	(define @t21 () (not (_ @t15 @v.0.BOUND_VARIABLE_581 @v.0.Xx0)))
10.85/11.05	(define @t22 () (@list @v.0.Xx0 @v.0.BOUND_VARIABLE_479))
10.85/11.05	(define @t23 () (@list @v.0.BOUND_VARIABLE_581))
10.85/11.05	(define @t24 () (@list @v.0.BOUND_VARIABLE_564))
10.85/11.05	(define @t25 () (_ @t13 @v.0.BOUND_VARIABLE_570 @v.0.Xx))
10.85/11.05	(define @t26 () (not (_ @t15 @t25 @v.0.Xy)))
10.85/11.05	(define @t27 () (_ @t13 @v.0.BOUND_VARIABLE_570 @v.0.Xy))
10.85/11.05	(define @t28 () (or (not (forall @t6 (_ @t15 @t25 @v.0.Xx))) (not (forall @t11 (or @t26 (_ @t15 @t27 @v.0.Xx)))) (not (forall @t10 (or (not (_ @t15 @t27 @v.0.Xz)) @t26 (_ @t15 @t25 @v.0.Xz)))) (not (forall @t24 (or (not (_ @t15 @v.0.BOUND_VARIABLE_564 @v.0.BOUND_VARIABLE_546)) (not (forall @t23 (or (not (_ @t15 @v.0.BOUND_VARIABLE_581 @v.0.BOUND_VARIABLE_546)) (not (forall @t22 (or @t21 (= (_ @t15 @t14 @v.0.BOUND_VARIABLE_479) @t20)))) @t19))) (not (forall @t18 (or @t17 (= @t16 (_ @t15 @t14 @v.0.BOUND_VARIABLE_513))))))))))
10.85/11.05	(define @t29 () (@list @v.0.BOUND_VARIABLE_570 @v.0.BOUND_VARIABLE_546))
10.85/11.05	(define @t30 () (forall @t29 @t28))
10.85/11.05	(define @t31 () (not @t30))
10.85/11.05	(define @t32 () (not (@v.0.R @v.0.Xx @v.0.Xy)))
10.85/11.05	(define @t33 () (not (forall (@list @v.0.R @v.0.BOUND_VARIABLE_546) (or (not (forall @t6 (@v.0.R @v.0.Xx @v.0.Xx))) (not (forall @t11 (or @t32 (@v.0.R @v.0.Xy @v.0.Xx)))) (not (forall @t10 (or (not (@v.0.R @v.0.Xy @v.0.Xz)) @t32 (@v.0.R @v.0.Xx @v.0.Xz)))) (not (forall @t5 (or (not (@v.0.Xp @v.0.BOUND_VARIABLE_546)) (not (forall @t4 (or (not (@v.0.Xq @v.0.BOUND_VARIABLE_546)) (not (forall @t22 (or (not (@v.0.Xq @v.0.Xx0)) (= (@v.0.Xq @v.0.BOUND_VARIABLE_479) (@v.0.R @v.0.Xx0 @v.0.BOUND_VARIABLE_479))))) (= @v.0.Xp @v.0.Xq)))) (not (forall @t18 (or (not (@v.0.Xp @v.0.Xx0)) (= (@v.0.R @v.0.Xx0 @v.0.BOUND_VARIABLE_513) (@v.0.Xp @v.0.BOUND_VARIABLE_513))))))))))))
10.85/11.05	(define @t34 () (exists @t29 (not @t28)))
10.85/11.05	(define @t35 () (@quantifiers_skolemize @t34 @v.0.BOUND_VARIABLE_570))
10.85/11.05	(define @t36 () (_ @t13 @t35 @v.0.Xx0))
10.85/11.05	(define @t37 () (_ @t15 @t36 @v.0.BOUND_VARIABLE_513))
10.85/11.05	(define @t38 () (not (forall @t18 (or @t17 (= @t16 @t37)))))
10.85/11.05	(define @t39 () (_ @t15 @t36 @v.0.BOUND_VARIABLE_479))
10.85/11.05	(define @t40 () (not (forall @t22 (or @t21 (= @t20 @t39)))))
10.85/11.05	(define @t41 () (@quantifiers_skolemize @t34 @v.0.BOUND_VARIABLE_546))
10.85/11.05	(define @t42 () (not (_ @t15 @v.0.BOUND_VARIABLE_581 @t41)))
10.85/11.05	(define @t43 () (not (_ @t15 @v.0.BOUND_VARIABLE_564 @t41)))
10.85/11.05	(define @t44 () (forall @t24 (or @t43 (not (forall @t23 (or @t42 @t40 @t19))) @t38)))
10.85/11.05	(define @t45 () (not @t44))
10.85/11.05	(define @t46 () (_ @t13 @t35 @v.0.Xx))
10.85/11.05	(define @t47 () (not (_ @t15 @t46 @v.0.Xy)))
10.85/11.05	(define @t48 () (_ @t13 @t35 @v.0.Xy))
10.85/11.05	(define @t49 () (forall @t10 (or (not (_ @t15 @t48 @v.0.Xz)) @t47 (_ @t15 @t46 @v.0.Xz))))
10.85/11.05	(define @t50 () (not @t49))
10.85/11.05	(define @t51 () (forall @t11 (or @t47 (_ @t15 @t48 @v.0.Xx))))
10.85/11.05	(define @t52 () (not @t51))
10.85/11.05	(define @t53 () (forall @t6 (_ @t15 @t46 @v.0.Xx)))
10.85/11.05	(define @t54 () (not @t53))
10.85/11.05	(define @t55 () (or @t54 @t52 @t50 @t45))
10.85/11.05	(define @t56 () (not @t55))
10.85/11.05	(define @t57 () (not (or @t54 @t52 @t50 (not (forall @t24 (or @t43 (not (forall @t23 (or @t42 (not (forall @t22 (or @t21 (= @t39 @t20)))) @t19))) @t38))))))
10.85/11.05	(define @t58 () (_ @t13 @t35 @t41))
10.85/11.05	(define @t59 () (_ @t15 @t58 @v.0.BOUND_VARIABLE_513))
10.85/11.05	(define @t60 () (not (_ @t15 @t58 @v.0.Xx0)))
10.85/11.05	(define @t61 () (not (_ @t15 @t58 @t41)))
10.85/11.05	(define @t62 () (or @t60 (= @t37 @t59)))
10.85/11.05	(define @t63 () (forall @t18 @t62))
10.85/11.05	(define @t64 () (not @t63))
10.85/11.05	(define @t65 () (or @t42 @t40 (= @v.0.BOUND_VARIABLE_581 @t58)))
10.85/11.05	(define @t66 () (forall @t23 @t65))
10.85/11.05	(define @t67 () (not @t66))
10.85/11.05	(define @t68 () (or @t61 @t67 @t64))
10.85/11.05	(define @t69 () (exists @t18 (not @t62)))
10.85/11.05	(define @t70 () (@quantifiers_skolemize @t69 @v.0.Xx0))
10.85/11.05	(define @t71 () (_ @t15 @t58 @t70))
10.85/11.05	(define @t72 () (not @t71))
10.85/11.05	(define @t73 () (@quantifiers_skolemize @t69 @v.0.BOUND_VARIABLE_513))
10.85/11.05	(define @t74 () (_ @t15 @t58 @t73))
10.85/11.05	(define @t75 () (_ @t13 @t35 @t70))
10.85/11.05	(define @t76 () (_ @t15 @t75 @t73))
10.85/11.05	(define @t77 () (= @t76 @t74))
10.85/11.05	(define @t78 () (or @t72 @t77))
10.85/11.05	(define @t79 () (not @t76))
10.85/11.05	(define @t80 () (or @t79 @t72 @t74))
10.85/11.05	(define @t81 () (_ @t15 @t75 @t41))
10.85/11.05	(define @t82 () (or @t72 @t81))
10.85/11.05	(define @t83 () (not @t81))
10.85/11.05	(define @t84 () (not @t74))
10.85/11.05	(define @t85 () (or @t84 @t83 @t76))
10.85/11.05	(define @t86 () (not @t78))
10.85/11.05	(define @t87 () (@quantifiers_skolemize (exists @t23 (not @t65)) @v.0.BOUND_VARIABLE_581))
10.85/11.05	(define @t88 () (= @t58 @t87))
10.85/11.05	(define @t89 () (_ @t15 @t87 @v.0.BOUND_VARIABLE_479))
10.85/11.05	(define @t90 () (not (_ @t15 @t87 @v.0.Xx0)))
10.85/11.05	(define @t91 () (forall @t22 (or @t90 (= @t39 @t89))))
10.85/11.05	(define @t92 () (not @t91))
10.85/11.05	(define @t93 () (_ @t15 @t87 @t41))
10.85/11.05	(define @t94 () (not @t93))
10.85/11.05	(define @t95 () (or @t94 @t92 @t88))
10.85/11.05	(define @t96 () (not @t95))
10.85/11.05	(define @t97 () (not (or @t94 (not (forall @t22 (or @t90 (= @t89 @t39)))) (= @t87 @t58))))
10.85/11.05	(define @t98 () (@list @v.0.z))
10.85/11.05	(define @t99 () (= (_ @t15 @t58 @v.0.z) (_ @t15 @t87 @v.0.z)))
10.85/11.05	(define @t100 () (forall @t98 @t99))
10.85/11.05	(define @t101 () (not @t100))
10.85/11.05	(define @t102 () (or @t101 @t88))
10.85/11.05	(define @t103 () (@quantifiers_skolemize (exists @t98 (not @t99)) @v.0.z))
10.85/11.05	(define @t104 () (= (_ @t15 @t58 @t103) (_ @t15 @t87 @t103)))
10.85/11.05	(define @t105 () (not @t104))
10.85/11.05	(define @t106 () (or @t94 @t104))
10.85/11.05	(define @t107 () (not @t106))
10.85/11.05	(assume @p1 @t12)
10.85/11.05	(assume @p2 true)
10.85/11.05	; WARNING: add trust step for TRUST
10.85/11.05	; trust TRUST
10.85/11.05	(step @p3 :rule trust :premises () :args ((= @t33 @t31)))
10.85/11.05	; WARNING: add trust step for MACRO_SR_EQ_INTRO
10.85/11.05	; trust MACRO_SR_EQ_INTRO
10.85/11.05	(step @p4 :rule trust :premises () :args ((= @t12 @t33)))
10.85/11.05	(step @p5 :rule trans :premises (@p4 @p3))
10.85/11.05	(step @p6 :rule eq_resolve :premises (@p1 @p5))
10.85/11.05	(step @p7 :rule refl :args (@t56))
10.85/11.05	; WARNING: add trust step for MACRO_SR_PRED_INTRO
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p8 :rule trust :premises () :args ((= (not @t31) @t30)))
10.85/11.05	(step @p9 :rule nary_cong :premises (@p8 @p7) :args (or))
10.85/11.05	; WARNING: add trust step for MACRO_REWRITE
10.85/11.05	; trust MACRO_REWRITE
10.85/11.05	(step @p10 :rule trust :premises () :args ((= (=> @t31 @t57) (=> @t31 @t56))))
10.85/11.05	(assume-push @p11 @t31)
10.85/11.05	(step @p12 :rule skolemize :premises (@p6))
10.85/11.05	(step-pop @p136 :rule scope :premises (@p12))
10.85/11.05	(step @p13 :rule process_scope :premises (@p136) :args (@t57))
10.85/11.05	(step @p15 :rule eq_resolve :premises (@p13 @p10))
10.85/11.05	(step @p16 :rule implies_elim :premises (@p15))
10.85/11.05	(step @p17 :rule eq_resolve :premises (@p16 @p9))
10.85/11.05	; WARNING: add trust step for MACRO_RESOLUTION_TRUST
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p18 :rule trust :premises (@p17 @p6) :args (@t56))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p19 :rule trust :premises () :args ((= (not @t45) @t44)))
10.85/11.05	(step @p20 :rule refl :args (@t55))
10.85/11.05	(step @p21 :rule nary_cong :premises (@p20 @p19) :args (or))
10.85/11.05	(step @p22 :rule cnf_or_neg :args (@t55 3))
10.85/11.05	(step @p23 :rule eq_resolve :premises (@p22 @p21))
10.85/11.05	(step @p24 :rule reordering :premises (@p23) :args ((or @t44 @t55)))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p25 :rule trust :premises (@p24 @p18) :args (@t44))
10.85/11.05	(assume-push @p26 @t44)
10.85/11.05	(step @p27 :rule instantiate :premises (@p25) :args ((@list @t58)))
10.85/11.05	(step-pop @p137 :rule scope :premises (@p27))
10.85/11.05	(step @p28 :rule process_scope :premises (@p137) :args ((or @t61 (not (forall @t23 (or @t42 @t40 (= @t58 @v.0.BOUND_VARIABLE_581)))) (not (forall @t18 (or @t60 (= @t59 @t37)))))))
10.85/11.05	; WARNING: add trust step for MACRO_SR_PRED_ELIM
10.85/11.05	; trust MACRO_SR_PRED_ELIM
10.85/11.05	(step @p30 :rule trust :premises (@p28) :args ((=> @t44 @t68)))
10.85/11.05	(step @p31 :rule implies_elim :premises (@p30))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p32 :rule trust :premises (@p31 @p25) :args (@t68))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p33 :rule trust :premises () :args ((= (not @t72) @t71)))
10.85/11.05	(step @p34 :rule refl :args (@t78))
10.85/11.05	(step @p35 :rule nary_cong :premises (@p34 @p33) :args (or))
10.85/11.05	(step @p36 :rule cnf_or_neg :args (@t78 0))
10.85/11.05	(step @p37 :rule eq_resolve :premises (@p36 @p35))
10.85/11.05	(step @p38 :rule reordering :premises (@p37) :args ((or @t71 @t78)))
10.85/11.05	(step @p39 :rule cnf_or_neg :args (@t78 1))
10.85/11.05	(step @p40 :rule cnf_equiv_neg2 :args (@t77))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p41 :rule trust :premises () :args ((= (not @t50) @t49)))
10.85/11.05	(step @p42 :rule nary_cong :premises (@p20 @p41) :args (or))
10.85/11.05	(step @p43 :rule cnf_or_neg :args (@t55 2))
10.85/11.05	(step @p44 :rule eq_resolve :premises (@p43 @p42))
10.85/11.05	(step @p45 :rule reordering :premises (@p44) :args ((or @t49 @t55)))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p46 :rule trust :premises (@p45 @p18) :args (@t49))
10.85/11.05	(step @p47 :rule instantiate :premises (@p46) :args ((@list @t41 @t70 @t73)))
10.85/11.05	(step @p48 :rule cnf_or_pos :args (@t80))
10.85/11.05	(step @p49 :rule reordering :premises (@p48) :args ((or @t72 @t74 @t79 (not @t80))))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p50 :rule trust :premises (@p49 @p47 @p40) :args ((or @t72 @t77 @t79)))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p51 :rule trust :premises () :args ((= (not @t52) @t51)))
10.85/11.05	(step @p52 :rule nary_cong :premises (@p20 @p51) :args (or))
10.85/11.05	(step @p53 :rule cnf_or_neg :args (@t55 1))
10.85/11.05	(step @p54 :rule eq_resolve :premises (@p53 @p52))
10.85/11.05	(step @p55 :rule reordering :premises (@p54) :args ((or @t51 @t55)))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p56 :rule trust :premises (@p55 @p18) :args (@t51))
10.85/11.05	(step @p57 :rule instantiate :premises (@p56) :args ((@list @t41 @t70)))
10.85/11.05	(step @p58 :rule cnf_or_pos :args (@t82))
10.85/11.05	(step @p59 :rule reordering :premises (@p58) :args ((or @t72 @t81 (not @t82))))
10.85/11.05	(step @p60 :rule cnf_equiv_neg1 :args (@t77))
10.85/11.05	(step @p61 :rule reordering :premises (@p60) :args ((or @t76 @t74 @t77)))
10.85/11.05	(step @p62 :rule instantiate :premises (@p46) :args ((@list @t70 @t41 @t73)))
10.85/11.05	(step @p63 :rule cnf_or_pos :args (@t85))
10.85/11.05	(step @p64 :rule reordering :premises (@p63) :args ((or @t76 @t84 @t83 (not @t85))))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p65 :rule trust :premises (@p64 @p62 @p61 @p59 @p57 @p50 @p39 @p38) :args (@t78))
10.85/11.05	(step @p66 :rule refl :args (@t86))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p67 :rule trust :premises () :args ((= (not @t64) @t63)))
10.85/11.05	(step @p68 :rule nary_cong :premises (@p67 @p66) :args (or))
10.85/11.05	(assume-push @p69 @t64)
10.85/11.05	(step @p70 :rule skolemize :premises (@p69))
10.85/11.05	(step-pop @p138 :rule scope :premises (@p70))
10.85/11.05	(step @p71 :rule process_scope :premises (@p138) :args (@t86))
10.85/11.05	(step @p73 :rule implies_elim :premises (@p71))
10.85/11.05	(step @p74 :rule eq_resolve :premises (@p73 @p68))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p75 :rule trust :premises (@p74 @p65) :args (@t63))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p76 :rule trust :premises () :args ((= (not @t54) @t53)))
10.85/11.05	(step @p77 :rule nary_cong :premises (@p20 @p76) :args (or))
10.85/11.05	(step @p78 :rule cnf_or_neg :args (@t55 0))
10.85/11.05	(step @p79 :rule eq_resolve :premises (@p78 @p77))
10.85/11.05	(step @p80 :rule reordering :premises (@p79) :args ((or @t53 @t55)))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p81 :rule trust :premises (@p80 @p18) :args (@t53))
10.85/11.05	(step @p82 :rule instantiate :premises (@p81) :args ((@list @t41)))
10.85/11.05	(step @p83 :rule cnf_or_pos :args (@t68))
10.85/11.05	(step @p84 :rule reordering :premises (@p83) :args ((or @t61 @t67 @t64 (not @t68))))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p85 :rule trust :premises (@p84 @p82 @p75 @p32) :args (@t67))
10.85/11.05	(step @p86 :rule refl :args (@t96))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p87 :rule trust :premises () :args ((= (not @t67) @t66)))
10.85/11.05	(step @p88 :rule nary_cong :premises (@p87 @p86) :args (or))
10.85/11.05	; trust MACRO_REWRITE
10.85/11.05	(step @p89 :rule trust :premises () :args ((= (=> @t67 @t97) (=> @t67 @t96))))
10.85/11.05	(assume-push @p90 @t67)
10.85/11.05	(step @p91 :rule skolemize :premises (@p90))
10.85/11.05	(step-pop @p139 :rule scope :premises (@p91))
10.85/11.05	(step @p92 :rule process_scope :premises (@p139) :args (@t97))
10.85/11.05	(step @p94 :rule eq_resolve :premises (@p92 @p89))
10.85/11.05	(step @p95 :rule implies_elim :premises (@p94))
10.85/11.05	(step @p96 :rule eq_resolve :premises (@p95 @p88))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p97 :rule trust :premises (@p96 @p85) :args (@t96))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p98 :rule trust :premises () :args ((= (not @t92) @t91)))
10.85/11.05	(step @p99 :rule refl :args (@t95))
10.85/11.05	(step @p100 :rule nary_cong :premises (@p99 @p98) :args (or))
10.85/11.05	(step @p101 :rule cnf_or_neg :args (@t95 1))
10.85/11.05	(step @p102 :rule eq_resolve :premises (@p101 @p100))
10.85/11.05	(step @p103 :rule reordering :premises (@p102) :args ((or @t91 @t95)))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p104 :rule trust :premises (@p103 @p97) :args (@t91))
10.85/11.05	; trust TRUST
10.85/11.05	(step @p105 :rule trust :premises () :args ((forall (@list @v.0.x @v.0.y) (or (not (forall @t98 (= (_ @t15 @v.0.x @v.0.z) (_ @t15 @v.0.y @v.0.z)))) (= @v.0.x @v.0.y)))))
10.85/11.05	(step @p106 :rule instantiate :premises (@p105) :args ((@list @t58 @t87)))
10.85/11.05	(step @p107 :rule cnf_or_neg :args (@t95 2))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p108 :rule trust :premises (@p107 @p97) :args ((not @t88)))
10.85/11.05	(step @p109 :rule cnf_or_pos :args (@t102))
10.85/11.05	(step @p110 :rule reordering :premises (@p109) :args ((or @t88 @t101 (not @t102))))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p111 :rule trust :premises (@p110 @p108 @p106) :args (@t101))
10.85/11.05	(step @p112 :rule refl :args (@t105))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p113 :rule trust :premises () :args ((= (not @t101) @t100)))
10.85/11.05	(step @p114 :rule nary_cong :premises (@p113 @p112) :args (or))
10.85/11.05	(assume-push @p115 @t101)
10.85/11.05	(step @p116 :rule skolemize :premises (@p115))
10.85/11.05	(step-pop @p140 :rule scope :premises (@p116))
10.85/11.05	(step @p117 :rule process_scope :premises (@p140) :args (@t105))
10.85/11.05	(step @p119 :rule implies_elim :premises (@p117))
10.85/11.05	(step @p120 :rule eq_resolve :premises (@p119 @p114))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p121 :rule trust :premises (@p120 @p111) :args (@t105))
10.85/11.05	; trust MACRO_SR_PRED_INTRO
10.85/11.05	(step @p122 :rule trust :premises () :args ((= (not @t94) @t93)))
10.85/11.05	(step @p123 :rule nary_cong :premises (@p99 @p122) :args (or))
10.85/11.05	(step @p124 :rule cnf_or_neg :args (@t95 0))
10.85/11.05	(step @p125 :rule eq_resolve :premises (@p124 @p123))
10.85/11.05	(step @p126 :rule reordering :premises (@p125) :args ((or @t93 @t95)))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p127 :rule trust :premises (@p126 @p97) :args (@t93))
10.85/11.05	(step @p128 :rule cnf_or_pos :args (@t106))
10.85/11.05	(step @p129 :rule reordering :premises (@p128) :args ((or @t94 @t104 @t107)))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p130 :rule trust :premises (@p129 @p127 @p121) :args (@t107))
10.85/11.05	(assume-push @p131 @t91)
10.85/11.05	(step @p132 :rule instantiate :premises (@p131) :args ((@list @t41 @t103)))
10.85/11.05	(step-pop @p141 :rule scope :premises (@p132))
10.85/11.05	(step @p133 :rule process_scope :premises (@p141) :args (@t106))
10.85/11.05	(step @p135 :rule implies_elim :premises (@p133))
10.85/11.05	; trust MACRO_RESOLUTION_TRUST
10.85/11.05	(step @p136 false :rule trust :premises (@p135 @p130 @p104) :args (false))
10.85/11.05	
10.85/11.05	% SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.Z7NOsafxxR/cvc5---1.0.5_30300.smt2
10.85/11.05	% cvc5---1.0.5 exiting
10.85/11.06	% cvc5---1.0.5 exiting
10.85/11.06	EOF