0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : do_cvc5 %s %d THM
0.12/0.33	% Computer : n010.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1440
0.12/0.33	% WCLimit    : 180
0.12/0.33	% DateTime   : Thu Jul  4 09:01:24 EDT 2024
0.12/0.34	% CPUTime    : 
0.19/0.48	%----Proving TH0
11.77/12.08	--- Run --ho-elim --enum-inst at 10...
11.77/12.08	--- Run --ho-elim --no-e-matching --enum-inst at 10...
11.77/12.08	% SZS status Theorem for /export/starexec/sandbox/tmp/tmp.yXA7BWvKXP/cvc5---1.0.5_23179.smt2
11.77/12.08	% SZS output start Proof for /export/starexec/sandbox/tmp/tmp.yXA7BWvKXP/cvc5---1.0.5_23179.smt2
11.77/12.08	(declare-sort tptp.a 0)
11.77/12.08	(define @v.0.x () (alf.var "x" (@ho-elim-sort (-> tptp.a Bool))))
11.77/12.08	(define @v.0.z () (alf.var "z" tptp.a))
11.77/12.08	(define @v.0.y () (alf.var "y" (@ho-elim-sort (-> tptp.a Bool))))
11.77/12.08	(define @v.0.BOUND_VARIABLE_629 () (alf.var "BOUND_VARIABLE_629" (@ho-elim-sort (-> tptp.a tptp.a Bool))))
11.77/12.08	(define @v.0.BOUND_VARIABLE_638 () (alf.var "BOUND_VARIABLE_638" (@ho-elim-sort (-> tptp.a Bool))))
11.77/12.08	(define @v.0.Xx () (alf.var "Xx" tptp.a))
11.77/12.08	(define @v.0.Xp () (alf.var "Xp" (-> tptp.a Bool)))
11.77/12.08	(define @v.0.Xz () (alf.var "Xz" tptp.a))
11.77/12.08	(define @v.0.BOUND_VARIABLE_526 () (alf.var "BOUND_VARIABLE_526" tptp.a))
11.77/12.08	(define @v.0.Xq () (alf.var "Xq" (-> tptp.a Bool)))
11.77/12.08	(define @v.0.R () (alf.var "R" (-> tptp.a tptp.a Bool)))
11.77/12.08	(define @v.0.Xx0 () (alf.var "Xx0" tptp.a))
11.77/12.08	(define @v.0.BOUND_VARIABLE_573 () (alf.var "BOUND_VARIABLE_573" tptp.a))
11.77/12.08	(define @v.0.Xy () (alf.var "Xy" tptp.a))
11.77/12.08	(define @v.0.BOUND_VARIABLE_611 () (alf.var "BOUND_VARIABLE_611" tptp.a))
11.77/12.08	(define @v.0.BOUND_VARIABLE_649 () (alf.var "BOUND_VARIABLE_649" (@ho-elim-sort (-> tptp.a Bool))))
11.77/12.08	(define @v.0.BOUND_VARIABLE_555 () (alf.var "BOUND_VARIABLE_555" tptp.a))
11.77/12.08	(define @v.0.BOUND_VARIABLE_592 () (alf.var "BOUND_VARIABLE_592" tptp.a))
11.77/12.08	(define @t1 () (_ (_ @v.0.R @v.0.Xx0) @v.0.Xy))
11.77/12.08	(define @t2 () (_ @v.0.Xp @v.0.Xy))
11.77/12.08	(define @t3 () (@list @v.0.Xy))
11.77/12.08	(define @t4 () (@list @v.0.Xx0))
11.77/12.08	(define @t5 () (_ @v.0.Xp @v.0.Xx))
11.77/12.08	(define @t6 () (@list @v.0.Xz))
11.77/12.08	(define @t7 () (exists @t6 (_ @v.0.Xp @v.0.Xz)))
11.77/12.08	(define @t8 () (@list @v.0.Xp))
11.77/12.08	(define @t9 () (@list @v.0.Xx))
11.77/12.08	(define @t10 () (_ @v.0.R @v.0.Xx))
11.77/12.08	(define @t11 () (_ @t10 @v.0.Xy))
11.77/12.08	(define @t12 () (_ @v.0.R @v.0.Xy))
11.77/12.08	(define @t13 () (@list @v.0.Xx @v.0.Xy))
11.77/12.08	(define @t14 () (@list @v.0.Xx @v.0.Xy @v.0.Xz))
11.77/12.08	(define @t15 () (not (forall (@list @v.0.R) (=> (and (forall @t14 (=> (and @t11 (_ @t12 @v.0.Xz)) (_ @t10 @v.0.Xz))) (forall @t13 (=> @t11 (_ @t12 @v.0.Xx))) (forall @t9 (_ @t10 @v.0.Xx))) (and (forall @t8 (=> (and @t7 (forall @t9 (=> @t5 (forall @t3 (= @t11 @t2))))) @t7)) (forall @t9 (exists @t8 (and @t7 (forall (@list @v.0.Xq) (=> (and (_ @v.0.Xq @v.0.Xx) (forall @t4 (=> (_ @v.0.Xq @v.0.Xx0) (forall @t3 (= @t1 (_ @v.0.Xq @v.0.Xy))))) (exists @t6 (_ @v.0.Xq @v.0.Xz))) (= @v.0.Xq @v.0.Xp))) @t5 (forall @t4 (=> (_ @v.0.Xp @v.0.Xx0) (forall @t3 (= @t2 @t1))))))))))))
11.77/12.08	(define @t16 () (const 0 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool)))
11.77/12.08	(define @t17 () (_ @t16 @v.0.BOUND_VARIABLE_638 @v.0.BOUND_VARIABLE_573))
11.77/12.08	(define @t18 () (const 1 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool)))))
11.77/12.08	(define @t19 () (_ @t18 @v.0.BOUND_VARIABLE_629 @v.0.Xx0))
11.77/12.08	(define @t20 () (not (_ @t16 @v.0.BOUND_VARIABLE_638 @v.0.Xx0)))
11.77/12.08	(define @t21 () (@list @v.0.Xx0 @v.0.BOUND_VARIABLE_573))
11.77/12.08	(define @t22 () (= @v.0.BOUND_VARIABLE_638 @v.0.BOUND_VARIABLE_649))
11.77/12.08	(define @t23 () (not (_ @t16 @v.0.BOUND_VARIABLE_649 @v.0.BOUND_VARIABLE_555)))
11.77/12.08	(define @t24 () (_ @t16 @v.0.BOUND_VARIABLE_649 @v.0.BOUND_VARIABLE_526))
11.77/12.08	(define @t25 () (not (_ @t16 @v.0.BOUND_VARIABLE_649 @v.0.Xx0)))
11.77/12.08	(define @t26 () (@list @v.0.Xx0 @v.0.BOUND_VARIABLE_526))
11.77/12.08	(define @t27 () (@list @v.0.BOUND_VARIABLE_649 @v.0.BOUND_VARIABLE_555))
11.77/12.08	(define @t28 () (not (_ @t16 @v.0.BOUND_VARIABLE_638 @v.0.BOUND_VARIABLE_592)))
11.77/12.08	(define @t29 () (@list @v.0.BOUND_VARIABLE_638 @v.0.BOUND_VARIABLE_592))
11.77/12.08	(define @t30 () (_ @t18 @v.0.BOUND_VARIABLE_629 @v.0.Xx))
11.77/12.08	(define @t31 () (_ @t18 @v.0.BOUND_VARIABLE_629 @v.0.Xy))
11.77/12.08	(define @t32 () (not (_ @t16 @t30 @v.0.Xy)))
11.77/12.08	(define @t33 () (or (not (forall @t14 (or @t32 (not (_ @t16 @t31 @v.0.Xz)) (_ @t16 @t30 @v.0.Xz)))) (not (forall @t13 (or @t32 (_ @t16 @t31 @v.0.Xx)))) (not (forall @t9 (_ @t16 @t30 @v.0.Xx))) (not (forall @t29 (or @t28 (not (forall @t27 (or (not (_ @t16 @v.0.BOUND_VARIABLE_649 @v.0.BOUND_VARIABLE_611)) (not (forall @t26 (or @t25 (= @t24 (_ @t16 @t19 @v.0.BOUND_VARIABLE_526))))) @t23 @t22))) (not (_ @t16 @v.0.BOUND_VARIABLE_638 @v.0.BOUND_VARIABLE_611)) (not (forall @t21 (or @t20 (= (_ @t16 @t19 @v.0.BOUND_VARIABLE_573) @t17)))))))))
11.77/12.08	(define @t34 () (@list @v.0.BOUND_VARIABLE_629 @v.0.BOUND_VARIABLE_611))
11.77/12.08	(define @t35 () (forall @t34 @t33))
11.77/12.08	(define @t36 () (not @t35))
11.77/12.08	(define @t37 () (not (@v.0.R @v.0.Xx @v.0.Xy)))
11.77/12.08	(define @t38 () (not (forall (@list @v.0.R @v.0.BOUND_VARIABLE_611) (or (not (forall @t14 (or @t37 (not (@v.0.R @v.0.Xy @v.0.Xz)) (@v.0.R @v.0.Xx @v.0.Xz)))) (not (forall @t13 (or @t37 (@v.0.R @v.0.Xy @v.0.Xx)))) (not (forall @t9 (@v.0.R @v.0.Xx @v.0.Xx))) (not (forall (@list @v.0.Xp @v.0.BOUND_VARIABLE_592) (or (not (@v.0.Xp @v.0.BOUND_VARIABLE_592)) (not (forall (@list @v.0.Xq @v.0.BOUND_VARIABLE_555) (or (not (@v.0.Xq @v.0.BOUND_VARIABLE_611)) (not (forall @t26 (or (not (@v.0.Xq @v.0.Xx0)) (= (@v.0.R @v.0.Xx0 @v.0.BOUND_VARIABLE_526) (@v.0.Xq @v.0.BOUND_VARIABLE_526))))) (not (@v.0.Xq @v.0.BOUND_VARIABLE_555)) (= @v.0.Xp @v.0.Xq)))) (not (@v.0.Xp @v.0.BOUND_VARIABLE_611)) (not (forall @t21 (or (not (@v.0.Xp @v.0.Xx0)) (= (@v.0.Xp @v.0.BOUND_VARIABLE_573) (@v.0.R @v.0.Xx0 @v.0.BOUND_VARIABLE_573))))))))))))
11.77/12.08	(define @t39 () (exists @t34 (not @t33)))
11.77/12.08	(define @t40 () (@quantifiers_skolemize @t39 @v.0.BOUND_VARIABLE_629))
11.77/12.08	(define @t41 () (_ @t18 @t40 @v.0.Xx0))
11.77/12.08	(define @t42 () (_ @t16 @t41 @v.0.BOUND_VARIABLE_573))
11.77/12.08	(define @t43 () (@quantifiers_skolemize @t39 @v.0.BOUND_VARIABLE_611))
11.77/12.08	(define @t44 () (not (_ @t16 @v.0.BOUND_VARIABLE_638 @t43)))
11.77/12.08	(define @t45 () (_ @t16 @t41 @v.0.BOUND_VARIABLE_526))
11.77/12.08	(define @t46 () (not (forall @t26 (or @t25 (= @t24 @t45)))))
11.77/12.08	(define @t47 () (not (_ @t16 @v.0.BOUND_VARIABLE_649 @t43)))
11.77/12.08	(define @t48 () (not (forall @t27 (or @t47 @t46 @t23 @t22))))
11.77/12.08	(define @t49 () (forall @t29 (or @t28 @t48 @t44 (not (forall @t21 (or @t20 (= @t17 @t42)))))))
11.77/12.08	(define @t50 () (not @t49))
11.77/12.08	(define @t51 () (_ @t18 @t40 @v.0.Xx))
11.77/12.08	(define @t52 () (forall @t9 (_ @t16 @t51 @v.0.Xx)))
11.77/12.08	(define @t53 () (not @t52))
11.77/12.08	(define @t54 () (_ @t18 @t40 @v.0.Xy))
11.77/12.08	(define @t55 () (not (_ @t16 @t51 @v.0.Xy)))
11.77/12.08	(define @t56 () (forall @t13 (or @t55 (_ @t16 @t54 @v.0.Xx))))
11.77/12.08	(define @t57 () (not @t56))
11.77/12.08	(define @t58 () (forall @t14 (or @t55 (not (_ @t16 @t54 @v.0.Xz)) (_ @t16 @t51 @v.0.Xz))))
11.77/12.08	(define @t59 () (not @t58))
11.77/12.08	(define @t60 () (or @t59 @t57 @t53 @t50))
11.77/12.08	(define @t61 () (not @t60))
11.77/12.08	(define @t62 () (not (or @t59 @t57 @t53 (not (forall @t29 (or @t28 @t48 @t44 (not (forall @t21 (or @t20 (= @t42 @t17))))))))))
11.77/12.08	(define @t63 () (_ @t18 @t40 @t43))
11.77/12.08	(define @t64 () (_ @t16 @t63 @v.0.BOUND_VARIABLE_573))
11.77/12.08	(define @t65 () (not (_ @t16 @t63 @v.0.Xx0)))
11.77/12.08	(define @t66 () (not (_ @t16 @t63 @t43)))
11.77/12.08	(define @t67 () (or @t65 (= @t42 @t64)))
11.77/12.08	(define @t68 () (forall @t21 @t67))
11.77/12.08	(define @t69 () (not @t68))
11.77/12.08	(define @t70 () (or @t47 @t46 @t23 (= @v.0.BOUND_VARIABLE_649 @t63)))
11.77/12.08	(define @t71 () (forall @t27 @t70))
11.77/12.08	(define @t72 () (not @t71))
11.77/12.08	(define @t73 () (or @t66 @t72 @t66 @t69))
11.77/12.08	(define @t74 () (exists @t21 (not @t67)))
11.77/12.08	(define @t75 () (@quantifiers_skolemize @t74 @v.0.Xx0))
11.77/12.08	(define @t76 () (_ @t16 @t63 @t75))
11.77/12.08	(define @t77 () (not @t76))
11.77/12.08	(define @t78 () (@quantifiers_skolemize @t74 @v.0.BOUND_VARIABLE_573))
11.77/12.08	(define @t79 () (_ @t16 @t63 @t78))
11.77/12.08	(define @t80 () (_ @t18 @t40 @t75))
11.77/12.08	(define @t81 () (_ @t16 @t80 @t78))
11.77/12.08	(define @t82 () (= @t81 @t79))
11.77/12.08	(define @t83 () (or @t77 @t82))
11.77/12.08	(define @t84 () (not @t81))
11.77/12.08	(define @t85 () (or @t77 @t84 @t79))
11.77/12.08	(define @t86 () (_ @t16 @t80 @t43))
11.77/12.08	(define @t87 () (or @t77 @t86))
11.77/12.08	(define @t88 () (not @t79))
11.77/12.08	(define @t89 () (not @t86))
11.77/12.08	(define @t90 () (or @t89 @t88 @t81))
11.77/12.08	(define @t91 () (not @t83))
11.77/12.08	(define @t92 () (exists @t27 (not @t70)))
11.77/12.08	(define @t93 () (@quantifiers_skolemize @t92 @v.0.BOUND_VARIABLE_649))
11.77/12.08	(define @t94 () (= @t63 @t93))
11.77/12.08	(define @t95 () (@quantifiers_skolemize @t92 @v.0.BOUND_VARIABLE_555))
11.77/12.08	(define @t96 () (_ @t16 @t93 @t95))
11.77/12.08	(define @t97 () (not @t96))
11.77/12.08	(define @t98 () (_ @t16 @t93 @v.0.BOUND_VARIABLE_526))
11.77/12.08	(define @t99 () (not (_ @t16 @t93 @v.0.Xx0)))
11.77/12.08	(define @t100 () (forall @t26 (or @t99 (= @t45 @t98))))
11.77/12.08	(define @t101 () (not @t100))
11.77/12.08	(define @t102 () (_ @t16 @t93 @t43))
11.77/12.08	(define @t103 () (not @t102))
11.77/12.08	(define @t104 () (or @t103 @t101 @t97 @t94))
11.77/12.08	(define @t105 () (not @t104))
11.77/12.08	(define @t106 () (not (or @t103 (not (forall @t26 (or @t99 (= @t98 @t45)))) @t97 (= @t93 @t63))))
11.77/12.08	(define @t107 () (= (_ @t16 @t63 @v.0.z) (_ @t16 @t93 @v.0.z)))
11.77/12.08	(define @t108 () (@list @v.0.z))
11.77/12.08	(define @t109 () (@quantifiers_skolemize (exists @t108 (not @t107)) @v.0.z))
11.77/12.08	(define @t110 () (_ @t16 @t93 @t109))
11.77/12.08	(define @t111 () (_ @t18 @t40 @t95))
11.77/12.08	(define @t112 () (_ @t16 @t111 @t109))
11.77/12.08	(define @t113 () (= @t110 @t112))
11.77/12.08	(define @t114 () (or @t97 @t113))
11.77/12.08	(define @t115 () (forall @t108 @t107))
11.77/12.08	(define @t116 () (not @t115))
11.77/12.08	(define @t117 () (or @t116 @t94))
11.77/12.08	(define @t118 () (_ @t16 @t63 @t109))
11.77/12.08	(define @t119 () (= @t118 @t110))
11.77/12.08	(define @t120 () (not @t119))
11.77/12.08	(define @t121 () (@list @t43 @t95))
11.77/12.08	(define @t122 () (_ @t16 @t63 @t95))
11.77/12.08	(define @t123 () (= @t96 @t122))
11.77/12.08	(define @t124 () (or @t103 @t123))
11.77/12.08	(define @t125 () (not @t112))
11.77/12.08	(define @t126 () (not @t122))
11.77/12.08	(define @t127 () (or @t126 @t125 @t118))
11.77/12.08	(define @t128 () (not @t113))
11.77/12.08	(define @t129 () (not @t110))
11.77/12.08	(define @t130 () (_ @t16 @t111 @t43))
11.77/12.08	(define @t131 () (or @t126 @t130))
11.77/12.08	(define @t132 () (not @t118))
11.77/12.08	(define @t133 () (not @t130))
11.77/12.08	(define @t134 () (or @t133 @t132 @t112))
11.77/12.08	(define @t135 () (not @t134))
11.77/12.08	(assume @p1 @t15)
11.77/12.08	(assume @p2 true)
11.77/12.08	; WARNING: add trust step for TRUST
11.77/12.08	; trust TRUST
11.77/12.08	(step @p3 :rule trust :premises () :args ((= @t38 @t36)))
11.77/12.08	; WARNING: add trust step for MACRO_SR_EQ_INTRO
11.77/12.08	; trust MACRO_SR_EQ_INTRO
11.77/12.08	(step @p4 :rule trust :premises () :args ((= @t15 @t38)))
11.77/12.08	(step @p5 :rule trans :premises (@p4 @p3))
11.77/12.08	(step @p6 :rule eq_resolve :premises (@p1 @p5))
11.77/12.08	(step @p7 :rule refl :args (@t61))
11.77/12.08	; WARNING: add trust step for MACRO_SR_PRED_INTRO
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p8 :rule trust :premises () :args ((= (not @t36) @t35)))
11.77/12.08	(step @p9 :rule nary_cong :premises (@p8 @p7) :args (or))
11.77/12.08	; WARNING: add trust step for MACRO_REWRITE
11.77/12.08	; trust MACRO_REWRITE
11.77/12.08	(step @p10 :rule trust :premises () :args ((= (=> @t36 @t62) (=> @t36 @t61))))
11.77/12.08	(assume-push @p11 @t36)
11.77/12.08	(step @p12 :rule skolemize :premises (@p6))
11.77/12.08	(step-pop @p183 :rule scope :premises (@p12))
11.77/12.08	(step @p13 :rule process_scope :premises (@p183) :args (@t62))
11.77/12.08	(step @p15 :rule eq_resolve :premises (@p13 @p10))
11.77/12.08	(step @p16 :rule implies_elim :premises (@p15))
11.77/12.08	(step @p17 :rule eq_resolve :premises (@p16 @p9))
11.77/12.08	; WARNING: add trust step for MACRO_RESOLUTION_TRUST
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p18 :rule trust :premises (@p17 @p6) :args (@t61))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p19 :rule trust :premises () :args ((= (not @t59) @t58)))
11.77/12.08	(step @p20 :rule refl :args (@t60))
11.77/12.08	(step @p21 :rule nary_cong :premises (@p20 @p19) :args (or))
11.77/12.08	(step @p22 :rule cnf_or_neg :args (@t60 0))
11.77/12.08	(step @p23 :rule eq_resolve :premises (@p22 @p21))
11.77/12.08	(step @p24 :rule reordering :premises (@p23) :args ((or @t58 @t60)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p25 :rule trust :premises (@p24 @p18) :args (@t58))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p26 :rule trust :premises () :args ((= (not @t50) @t49)))
11.77/12.08	(step @p27 :rule nary_cong :premises (@p20 @p26) :args (or))
11.77/12.08	(step @p28 :rule cnf_or_neg :args (@t60 3))
11.77/12.08	(step @p29 :rule eq_resolve :premises (@p28 @p27))
11.77/12.08	(step @p30 :rule reordering :premises (@p29) :args ((or @t49 @t60)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p31 :rule trust :premises (@p30 @p18) :args (@t49))
11.77/12.08	(assume-push @p32 @t49)
11.77/12.08	(step @p33 :rule instantiate :premises (@p31) :args ((@list @t63 @t43)))
11.77/12.08	(step-pop @p184 :rule scope :premises (@p33))
11.77/12.08	(step @p34 :rule process_scope :premises (@p184) :args ((or @t66 (not (forall @t27 (or @t47 @t46 @t23 (= @t63 @v.0.BOUND_VARIABLE_649)))) @t66 (not (forall @t21 (or @t65 (= @t64 @t42)))))))
11.77/12.08	; WARNING: add trust step for MACRO_SR_PRED_ELIM
11.77/12.08	; trust MACRO_SR_PRED_ELIM
11.77/12.08	(step @p36 :rule trust :premises (@p34) :args ((=> @t49 @t73)))
11.77/12.08	(step @p37 :rule implies_elim :premises (@p36))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p38 :rule trust :premises (@p37 @p31) :args (@t73))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p39 :rule trust :premises () :args ((= (not @t77) @t76)))
11.77/12.08	(step @p40 :rule refl :args (@t83))
11.77/12.08	(step @p41 :rule nary_cong :premises (@p40 @p39) :args (or))
11.77/12.08	(step @p42 :rule cnf_or_neg :args (@t83 0))
11.77/12.08	(step @p43 :rule eq_resolve :premises (@p42 @p41))
11.77/12.08	(step @p44 :rule reordering :premises (@p43) :args ((or @t76 @t83)))
11.77/12.08	(step @p45 :rule cnf_or_neg :args (@t83 1))
11.77/12.08	(step @p46 :rule cnf_equiv_neg2 :args (@t82))
11.77/12.08	(step @p47 :rule instantiate :premises (@p25) :args ((@list @t43 @t75 @t78)))
11.77/12.08	(step @p48 :rule cnf_or_pos :args (@t85))
11.77/12.08	(step @p49 :rule reordering :premises (@p48) :args ((or @t77 @t79 @t84 (not @t85))))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p50 :rule trust :premises (@p49 @p47 @p46) :args ((or @t77 @t82 @t84)))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p51 :rule trust :premises () :args ((= (not @t57) @t56)))
11.77/12.08	(step @p52 :rule nary_cong :premises (@p20 @p51) :args (or))
11.77/12.08	(step @p53 :rule cnf_or_neg :args (@t60 1))
11.77/12.08	(step @p54 :rule eq_resolve :premises (@p53 @p52))
11.77/12.08	(step @p55 :rule reordering :premises (@p54) :args ((or @t56 @t60)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p56 :rule trust :premises (@p55 @p18) :args (@t56))
11.77/12.08	(step @p57 :rule instantiate :premises (@p56) :args ((@list @t43 @t75)))
11.77/12.08	(step @p58 :rule cnf_or_pos :args (@t87))
11.77/12.08	(step @p59 :rule reordering :premises (@p58) :args ((or @t77 @t86 (not @t87))))
11.77/12.08	(step @p60 :rule cnf_equiv_neg1 :args (@t82))
11.77/12.08	(step @p61 :rule reordering :premises (@p60) :args ((or @t81 @t79 @t82)))
11.77/12.08	(step @p62 :rule instantiate :premises (@p25) :args ((@list @t75 @t43 @t78)))
11.77/12.08	(step @p63 :rule cnf_or_pos :args (@t90))
11.77/12.08	(step @p64 :rule reordering :premises (@p63) :args ((or @t81 @t88 @t89 (not @t90))))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p65 :rule trust :premises (@p64 @p62 @p61 @p59 @p57 @p50 @p45 @p44) :args (@t83))
11.77/12.08	(step @p66 :rule refl :args (@t91))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p67 :rule trust :premises () :args ((= (not @t69) @t68)))
11.77/12.08	(step @p68 :rule nary_cong :premises (@p67 @p66) :args (or))
11.77/12.08	(assume-push @p69 @t69)
11.77/12.08	(step @p70 :rule skolemize :premises (@p69))
11.77/12.08	(step-pop @p185 :rule scope :premises (@p70))
11.77/12.08	(step @p71 :rule process_scope :premises (@p185) :args (@t91))
11.77/12.08	(step @p73 :rule implies_elim :premises (@p71))
11.77/12.08	(step @p74 :rule eq_resolve :premises (@p73 @p68))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p75 :rule trust :premises (@p74 @p65) :args (@t68))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p76 :rule trust :premises () :args ((= (not @t53) @t52)))
11.77/12.08	(step @p77 :rule nary_cong :premises (@p20 @p76) :args (or))
11.77/12.08	(step @p78 :rule cnf_or_neg :args (@t60 2))
11.77/12.08	(step @p79 :rule eq_resolve :premises (@p78 @p77))
11.77/12.08	(step @p80 :rule reordering :premises (@p79) :args ((or @t52 @t60)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p81 :rule trust :premises (@p80 @p18) :args (@t52))
11.77/12.08	(step @p82 :rule instantiate :premises (@p81) :args ((@list @t43)))
11.77/12.08	(step @p83 :rule cnf_or_pos :args (@t73))
11.77/12.08	(step @p84 :rule factoring :premises (@p83))
11.77/12.08	(step @p85 :rule reordering :premises (@p84) :args ((or @t66 @t72 @t69 (not @t73))))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p86 :rule trust :premises (@p85 @p82 @p75 @p38) :args (@t72))
11.77/12.08	(step @p87 :rule refl :args (@t105))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p88 :rule trust :premises () :args ((= (not @t72) @t71)))
11.77/12.08	(step @p89 :rule nary_cong :premises (@p88 @p87) :args (or))
11.77/12.08	; trust MACRO_REWRITE
11.77/12.08	(step @p90 :rule trust :premises () :args ((= (=> @t72 @t106) (=> @t72 @t105))))
11.77/12.08	(assume-push @p91 @t72)
11.77/12.08	(step @p92 :rule skolemize :premises (@p91))
11.77/12.08	(step-pop @p186 :rule scope :premises (@p92))
11.77/12.08	(step @p93 :rule process_scope :premises (@p186) :args (@t106))
11.77/12.08	(step @p95 :rule eq_resolve :premises (@p93 @p90))
11.77/12.08	(step @p96 :rule implies_elim :premises (@p95))
11.77/12.08	(step @p97 :rule eq_resolve :premises (@p96 @p89))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p98 :rule trust :premises (@p97 @p86) :args (@t105))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p99 :rule trust :premises () :args ((= (not @t101) @t100)))
11.77/12.08	(step @p100 :rule refl :args (@t104))
11.77/12.08	(step @p101 :rule nary_cong :premises (@p100 @p99) :args (or))
11.77/12.08	(step @p102 :rule cnf_or_neg :args (@t104 1))
11.77/12.08	(step @p103 :rule eq_resolve :premises (@p102 @p101))
11.77/12.08	(step @p104 :rule reordering :premises (@p103) :args ((or @t100 @t104)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p105 :rule trust :premises (@p104 @p98) :args (@t100))
11.77/12.08	(assume-push @p106 @t100)
11.77/12.08	(step @p107 :rule instantiate :premises (@p106) :args ((@list @t95 @t109)))
11.77/12.08	(step-pop @p187 :rule scope :premises (@p107))
11.77/12.08	(step @p108 :rule process_scope :premises (@p187) :args ((or @t97 (= @t112 @t110))))
11.77/12.08	; trust MACRO_SR_PRED_ELIM
11.77/12.08	(step @p110 :rule trust :premises (@p108) :args ((=> @t100 @t114)))
11.77/12.08	(step @p111 :rule implies_elim :premises (@p110))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p112 :rule trust :premises (@p111 @p105) :args (@t114))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p113 :rule trust :premises () :args ((= (not @t97) @t96)))
11.77/12.08	(step @p114 :rule nary_cong :premises (@p100 @p113) :args (or))
11.77/12.08	(step @p115 :rule cnf_or_neg :args (@t104 2))
11.77/12.08	(step @p116 :rule eq_resolve :premises (@p115 @p114))
11.77/12.08	(step @p117 :rule reordering :premises (@p116) :args ((or @t96 @t104)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p118 :rule trust :premises (@p117 @p98) :args (@t96))
11.77/12.08	(step @p119 :rule cnf_or_pos :args (@t114))
11.77/12.08	(step @p120 :rule reordering :premises (@p119) :args ((or @t97 @t113 (not @t114))))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p121 :rule trust :premises (@p120 @p118 @p112) :args (@t113))
11.77/12.08	; trust TRUST
11.77/12.08	(step @p122 :rule trust :premises () :args ((forall (@list @v.0.x @v.0.y) (or (not (forall @t108 (= (_ @t16 @v.0.x @v.0.z) (_ @t16 @v.0.y @v.0.z)))) (= @v.0.x @v.0.y)))))
11.77/12.08	(step @p123 :rule instantiate :premises (@p122) :args ((@list @t63 @t93)))
11.77/12.08	(step @p124 :rule cnf_or_neg :args (@t104 3))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p125 :rule trust :premises (@p124 @p98) :args ((not @t94)))
11.77/12.08	(step @p126 :rule cnf_or_pos :args (@t117))
11.77/12.08	(step @p127 :rule reordering :premises (@p126) :args ((or @t94 @t116 (not @t117))))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p128 :rule trust :premises (@p127 @p125 @p123) :args (@t116))
11.77/12.08	(step @p129 :rule refl :args (@t120))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p130 :rule trust :premises () :args ((= (not @t116) @t115)))
11.77/12.08	(step @p131 :rule nary_cong :premises (@p130 @p129) :args (or))
11.77/12.08	(assume-push @p132 @t116)
11.77/12.08	(step @p133 :rule skolemize :premises (@p132))
11.77/12.08	(step-pop @p188 :rule scope :premises (@p133))
11.77/12.08	(step @p134 :rule process_scope :premises (@p188) :args (@t120))
11.77/12.08	(step @p136 :rule implies_elim :premises (@p134))
11.77/12.08	(step @p137 :rule eq_resolve :premises (@p136 @p131))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p138 :rule trust :premises (@p137 @p128) :args (@t120))
11.77/12.08	(step @p139 :rule cnf_equiv_neg1 :args (@t119))
11.77/12.08	(step @p140 :rule reordering :premises (@p139) :args ((or @t118 @t110 @t119)))
11.77/12.08	(assume-push @p141 @t100)
11.77/12.08	(step @p142 :rule instantiate :premises (@p106) :args (@t121))
11.77/12.08	(step-pop @p189 :rule scope :premises (@p142))
11.77/12.08	(step @p143 :rule process_scope :premises (@p189) :args ((or @t103 (= @t122 @t96))))
11.77/12.08	; trust MACRO_SR_PRED_ELIM
11.77/12.08	(step @p145 :rule trust :premises (@p143) :args ((=> @t100 @t124)))
11.77/12.08	(step @p146 :rule implies_elim :premises (@p145))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p147 :rule trust :premises (@p146 @p105) :args (@t124))
11.77/12.08	; trust MACRO_SR_PRED_INTRO
11.77/12.08	(step @p148 :rule trust :premises () :args ((= (not @t103) @t102)))
11.77/12.08	(step @p149 :rule nary_cong :premises (@p100 @p148) :args (or))
11.77/12.08	(step @p150 :rule cnf_or_neg :args (@t104 0))
11.77/12.08	(step @p151 :rule eq_resolve :premises (@p150 @p149))
11.77/12.08	(step @p152 :rule reordering :premises (@p151) :args ((or @t102 @t104)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p153 :rule trust :premises (@p152 @p98) :args (@t102))
11.77/12.08	(step @p154 :rule cnf_or_pos :args (@t124))
11.77/12.08	(step @p155 :rule reordering :premises (@p154) :args ((or @t103 @t123 (not @t124))))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p156 :rule trust :premises (@p155 @p153 @p147) :args (@t123))
11.77/12.08	(step @p157 :rule cnf_equiv_pos1 :args (@t123))
11.77/12.08	(step @p158 :rule reordering :premises (@p157) :args ((or @t97 @t122 (not @t123))))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p159 :rule trust :premises (@p158 @p118 @p156) :args (@t122))
11.77/12.08	(step @p160 :rule instantiate :premises (@p25) :args ((@list @t43 @t95 @t109)))
11.77/12.08	(step @p161 :rule cnf_or_pos :args (@t127))
11.77/12.08	(step @p162 :rule reordering :premises (@p161) :args ((or @t126 @t118 @t125 (not @t127))))
11.77/12.08	(step @p163 :rule cnf_equiv_pos1 :args (@t113))
11.77/12.08	(step @p164 :rule reordering :premises (@p163) :args ((or @t129 @t112 @t128)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p165 :rule trust :premises (@p164 @p121 @p162 @p160 @p159 @p140 @p138) :args (@t118))
11.77/12.08	(step @p166 :rule cnf_equiv_neg2 :args (@t119))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p167 :rule trust :premises (@p166 @p138 @p165) :args (@t129))
11.77/12.08	(step @p168 :rule cnf_equiv_pos2 :args (@t113))
11.77/12.08	(step @p169 :rule reordering :premises (@p168) :args ((or @t110 @t125 @t128)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p170 :rule trust :premises (@p169 @p167 @p121) :args (@t125))
11.77/12.08	(step @p171 :rule instantiate :premises (@p56) :args (@t121))
11.77/12.08	(step @p172 :rule cnf_or_pos :args (@t131))
11.77/12.08	(step @p173 :rule reordering :premises (@p172) :args ((or @t126 @t130 (not @t131))))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p174 :rule trust :premises (@p173 @p159 @p171) :args (@t130))
11.77/12.08	(step @p175 :rule cnf_or_pos :args (@t134))
11.77/12.08	(step @p176 :rule reordering :premises (@p175) :args ((or @t133 @t132 @t112 @t135)))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p177 :rule trust :premises (@p176 @p174 @p165 @p170) :args (@t135))
11.77/12.08	(assume-push @p178 @t58)
11.77/12.08	(step @p179 :rule instantiate :premises (@p25) :args ((@list @t95 @t43 @t109)))
11.77/12.08	(step-pop @p190 :rule scope :premises (@p179))
11.77/12.08	(step @p180 :rule process_scope :premises (@p190) :args (@t134))
11.77/12.08	(step @p182 :rule implies_elim :premises (@p180))
11.77/12.08	; trust MACRO_RESOLUTION_TRUST
11.77/12.08	(step @p183 false :rule trust :premises (@p182 @p177 @p25) :args (false))
11.77/12.08	
11.77/12.08	% SZS output end Proof for /export/starexec/sandbox/tmp/tmp.yXA7BWvKXP/cvc5---1.0.5_23179.smt2
11.77/12.08	% cvc5---1.0.5 exiting
11.77/12.08	% cvc5---1.0.5 exiting
11.77/12.09	EOF