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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : PLA054^4 : TPTP v9.2.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 Jun  3 08:43:30 AM UTC 2026

% Result   : Theorem 2.86s 3.07s
% Output   : Proof 2.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PLA054^4 : TPTP v9.2.1. Released v8.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n002.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 13:05:18 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.50  %----Proving TH0
% 2.86/3.07  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 2.86/3.07  % SZS status Theorem
% 2.86/3.07  % SZS output start Proof
% 2.86/3.07  (
% 2.86/3.07  (declare-sort $$unsorted 0)
% 2.86/3.07  (declare-sort tptp.mworld 0)
% 2.86/3.07  (declare-const tptp.mactual tptp.mworld)
% 2.86/3.07  (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool))
% 2.86/3.07  (declare-const tptp.n $$unsorted)
% 2.86/3.07  (declare-const tptp.closed (-> $$unsorted tptp.mworld Bool))
% 2.86/3.07  (declare-const tptp.h (-> $$unsorted tptp.mworld Bool))
% 2.86/3.07  (declare-const tptp.o $$unsorted)
% 2.86/3.07  (declare-const tptp.combo (-> $$unsorted $$unsorted tptp.mworld Bool))
% 2.86/3.07  (declare-const tptp.d $$unsorted)
% 2.86/3.07  (declare-const tptp.open (-> $$unsorted tptp.mworld Bool))
% 2.86/3.07  (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual))))
% 2.86/3.07  (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1))))))
% 2.86/3.07  (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 2.86/3.08  (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 2.86/3.08  (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 2.86/3.08  (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 2.86/3.08  (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1))))))))
% 2.86/3.08  (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1))))))))
% 2.86/3.08  (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1)))))))
% 2.86/3.08  (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1)))))))
% 2.86/3.08  (define @t1 () (@var "W" tptp.mworld))
% 2.86/3.08  (define @t2 () (_ tptp.mrel @t1))
% 2.86/3.08  (define @t3 () (_ @t2 @t1))
% 2.86/3.08  (define @t4 () (@list @t1))
% 2.86/3.08  (define @t5 () (forall @t4 @t3))
% 2.86/3.08  (define @t6 () (@var "U" tptp.mworld))
% 2.86/3.08  (define @t7 () (@var "V" tptp.mworld))
% 2.86/3.08  (define @t8 () (_ @t2 @t7))
% 2.86/3.08  (define @t9 () (@var "__flatten_var_0" tptp.mworld))
% 2.86/3.08  (define @t10 () (@var "S" $$unsorted))
% 2.86/3.08  (define @t11 () (_ tptp.closed @t10))
% 2.86/3.08  (define @t12 () (_ tptp.h tptp.o))
% 2.86/3.08  (define @t13 () (@var "V" $$unsorted))
% 2.86/3.08  (define @t14 () (_ (_ tptp.combo @t10) @t13))
% 2.86/3.08  (define @t15 () (_ tptp.mand @t11))
% 2.86/3.08  (define @t16 () (_ tptp.open @t10))
% 2.86/3.08  (define @t17 () (@var "O" $$unsorted))
% 2.86/3.08  (define @t18 () (_ tptp.h @t17))
% 2.86/3.08  (define @t19 () (@list @t17 @t9))
% 2.86/3.08  (define @t20 () (lambda @t19 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies (_ @t15 (_ (_ tptp.mand @t14) @t18))) (_ tptp.mbox @t16)))) (_ tptp.mbox (_ (_ tptp.mimplies (_ @t15 (_ (_ tptp.mand (_ tptp.mnot @t14)) @t12))) (_ tptp.mbox @t11)))) @t9)))
% 2.86/3.08  (define @t21 () (@list @t13 @t9))
% 2.86/3.08  (define @t22 () (lambda @t21 (_ (_ tptp.mexists_di @t20) @t9)))
% 2.86/3.08  (define @t23 () (@list @t10 @t9))
% 2.86/3.08  (define @t24 () (lambda @t23 (_ (_ tptp.mforall_di @t22) @t9)))
% 2.86/3.08  (define @t25 () (_ tptp.closed tptp.d))
% 2.86/3.08  (define @t26 () (_ tptp.combo tptp.d))
% 2.86/3.08  (define @t27 () (_ @t26 tptp.n))
% 2.86/3.08  (define @t28 () (lambda @t23 (_ (_ tptp.mnot (_ (_ tptp.mand @t16) @t11)) @t9)))
% 2.86/3.08  (define @t29 () (_ @t26 @t13))
% 2.86/3.08  (define @t30 () (_ tptp.open tptp.d))
% 2.86/3.08  (define @t31 () (lambda @t19 (_ (_ (_ tptp.mimplies (_ tptp.mbox (_ (_ tptp.mand @t29) @t18))) (_ tptp.mbox @t30)) @t9)))
% 2.86/3.08  (define @t32 () (lambda @t21 (_ (_ tptp.mexists_di @t31) @t9)))
% 2.86/3.08  (define @t33 () (not (_ tptp.mlocal (_ tptp.mbox (_ tptp.mexists_di @t32)))))
% 2.86/3.08  (define @t34 () (@var "Phi" (-> tptp.mworld Bool)))
% 2.86/3.08  (define @t35 () (lambda (@list @t34) (_ @t34 tptp.mactual)))
% 2.86/3.08  (define @t36 () (@var "A" (-> tptp.mworld Bool)))
% 2.86/3.08  (define @t37 () (_ @t36 @t1))
% 2.86/3.08  (define @t38 () (lambda (@list @t36 @t1) (not @t37)))
% 2.86/3.08  (define @t39 () (@var "B" (-> tptp.mworld Bool)))
% 2.86/3.08  (define @t40 () (_ @t39 @t1))
% 2.86/3.08  (define @t41 () (@list @t36 @t39 @t1))
% 2.86/3.08  (define @t42 () (lambda @t41 (and @t37 @t40)))
% 2.86/3.08  (define @t43 () (lambda @t41 (or @t37 @t40)))
% 2.86/3.08  (define @t44 () (lambda @t41 (=> @t37 @t40)))
% 2.86/3.08  (define @t45 () (lambda @t41 (= @t37 @t40)))
% 2.86/3.08  (define @t46 () (_ @t34 @t7))
% 2.86/3.08  (define @t47 () (@list @t7))
% 2.86/3.08  (define @t48 () (forall @t47 (=> @t8 @t46)))
% 2.86/3.08  (define @t49 () (@list @t34 @t1))
% 2.86/3.08  (define @t50 () (lambda @t49 @t48))
% 2.86/3.08  (define @t51 () (lambda @t49 (exists @t47 (and @t8 @t46))))
% 2.86/3.08  (define @t52 () (@var "X" $$unsorted))
% 2.86/3.08  (define @t53 () (@var "A" (-> $$unsorted tptp.mworld Bool)))
% 2.86/3.08  (define @t54 () (_ (_ @t53 @t52) @t1))
% 2.86/3.08  (define @t55 () (@list @t52))
% 2.86/3.08  (define @t56 () (forall @t55 @t54))
% 2.86/3.08  (define @t57 () (@list @t53 @t1))
% 2.86/3.08  (define @t58 () (lambda @t57 @t56))
% 2.86/3.08  (define @t59 () (exists @t55 @t54))
% 2.86/3.08  (define @t60 () (lambda @t57 @t59))
% 2.86/3.08  (define @t61 () (tptp.mrel @t1 @t1))
% 2.86/3.08  (define @t62 () (@var "BOUND_VARIABLE_8532" tptp.mworld))
% 2.86/3.08  (define @t63 () (tptp.open tptp.d @t62))
% 2.86/3.08  (define @t64 () (not (tptp.mrel @t7 @t62)))
% 2.86/3.08  (define @t65 () (@var "BOUND_VARIABLE_8501" tptp.mworld))
% 2.86/3.08  (define @t66 () (@var "BOUND_VARIABLE_8435" $$unsorted))
% 2.86/3.08  (define @t67 () (@var "BOUND_VARIABLE_8471" $$unsorted))
% 2.86/3.08  (define @t68 () (and (tptp.combo tptp.d @t67 @t65) (tptp.h @t66 @t65)))
% 2.86/3.08  (define @t69 () (@list @t67 @t66 @t65))
% 2.86/3.08  (define @t70 () (forall @t69 (or (not (tptp.mrel @t7 @t65)) @t68)))
% 2.86/3.08  (define @t71 () (not @t70))
% 2.86/3.08  (define @t72 () (not (tptp.mrel tptp.mactual @t7)))
% 2.86/3.08  (define @t73 () (@list @t7 @t62))
% 2.86/3.08  (define @t74 () (forall @t73 (or @t72 @t71 @t64 @t63)))
% 2.86/3.08  (define @t75 () (@quantifiers_skolemize @t74 0))
% 2.86/3.08  (define @t76 () (@list @t75))
% 2.86/3.08  (define @t77 () (@var "BOUND_VARIABLE_7799" tptp.mworld))
% 2.86/3.08  (define @t78 () (@var "BOUND_VARIABLE_8149" $$unsorted))
% 2.86/3.08  (define @t79 () (@var "BOUND_VARIABLE_8079" tptp.mworld))
% 2.86/3.08  (define @t80 () (not (tptp.mrel @t79 @t77)))
% 2.86/3.08  (define @t81 () (@var "BOUND_VARIABLE_7959" $$unsorted))
% 2.86/3.08  (define @t82 () (not (tptp.h @t81 @t79)))
% 2.86/3.08  (define @t83 () (@var "BOUND_VARIABLE_8151" $$unsorted))
% 2.86/3.08  (define @t84 () (not (tptp.mrel @t7 @t79)))
% 2.86/3.08  (define @t85 () (@list @t79 @t77))
% 2.86/3.08  (define @t86 () (@list @t81))
% 2.86/3.08  (define @t87 () (not (forall @t86 (not (forall @t85 (or @t84 (not (tptp.closed @t78 @t79)) (not (tptp.combo @t78 @t83 @t79)) @t82 @t80 (tptp.open @t78 @t77)))))))
% 2.86/3.08  (define @t88 () (@var "BOUND_VARIABLE_8136" tptp.mworld))
% 2.86/3.08  (define @t89 () (@var "BOUND_VARIABLE_8130" $$unsorted))
% 2.86/3.08  (define @t90 () (@var "BOUND_VARIABLE_8134" tptp.mworld))
% 2.86/3.08  (define @t91 () (@var "BOUND_VARIABLE_8132" $$unsorted))
% 2.86/3.08  (define @t92 () (or (not (tptp.mrel @t7 @t90)) (not (tptp.closed @t89 @t90)) (tptp.combo @t89 @t91 @t90) (not (tptp.h tptp.o @t90)) (not (tptp.mrel @t90 @t88)) (tptp.closed @t89 @t88)))
% 2.86/3.08  (define @t93 () (and @t92 @t87))
% 2.86/3.08  (define @t94 () (@list @t7 @t89 @t91 @t90 @t88 @t78 @t83))
% 2.86/3.08  (define @t95 () (tptp.mrel @t1 @t7))
% 2.86/3.08  (define @t96 () (not @t95))
% 2.86/3.08  (define @t97 () (or @t96 @t93))
% 2.86/3.08  (define @t98 () (forall @t94 @t97))
% 2.86/3.08  (define @t99 () (lambda @t4 @t98))
% 2.86/3.08  (define @t100 () (_ @t99 tptp.mactual))
% 2.86/3.08  (define @t101 () (@list @t89 @t91 @t90 @t88 @t78 @t83))
% 2.86/3.08  (define @t102 () (forall @t101 @t97))
% 2.86/3.08  (define @t103 () (forall (@list @t78 @t83) @t87))
% 2.86/3.08  (define @t104 () (@var "BOUND_VARIABLE_7994" $$unsorted))
% 2.86/3.08  (define @t105 () (@var "BOUND_VARIABLE_8052" $$unsorted))
% 2.86/3.08  (define @t106 () (forall @t101 @t87))
% 2.86/3.08  (define @t107 () (forall (@list @t89 @t91 @t90 @t88) @t92))
% 2.86/3.08  (define @t108 () (@var "BOUND_VARIABLE_7895" tptp.mworld))
% 2.86/3.08  (define @t109 () (@var "BOUND_VARIABLE_8098" tptp.mworld))
% 2.86/3.08  (define @t110 () (@var "BOUND_VARIABLE_7987" $$unsorted))
% 2.86/3.08  (define @t111 () (@var "BOUND_VARIABLE_8042" $$unsorted))
% 2.86/3.08  (define @t112 () (forall @t101 @t92))
% 2.86/3.08  (define @t113 () (and @t112 @t106))
% 2.86/3.08  (define @t114 () (forall @t101 @t93))
% 2.86/3.08  (define @t115 () (or @t96 @t114))
% 2.86/3.08  (define @t116 () (tptp.open @t105 @t77))
% 2.86/3.08  (define @t117 () (not (tptp.combo @t105 @t104 @t79)))
% 2.86/3.08  (define @t118 () (not (tptp.closed @t105 @t79)))
% 2.86/3.08  (define @t119 () (@list @t105 @t104))
% 2.86/3.08  (define @t120 () (tptp.closed @t111 @t108))
% 2.86/3.08  (define @t121 () (not (tptp.mrel @t109 @t108)))
% 2.86/3.08  (define @t122 () (not (tptp.h tptp.o @t109)))
% 2.86/3.08  (define @t123 () (tptp.combo @t111 @t110 @t109))
% 2.86/3.08  (define @t124 () (not (tptp.closed @t111 @t109)))
% 2.86/3.08  (define @t125 () (@list @t111 @t110 @t109 @t108))
% 2.86/3.08  (define @t126 () (and (forall @t125 (or (not (tptp.mrel @t7 @t109)) @t124 @t123 @t122 @t121 @t120)) (forall @t119 (not (forall @t86 (not (forall @t85 (or @t84 @t118 @t117 @t82 @t80 @t116))))))))
% 2.86/3.08  (define @t127 () (not (tptp.mrel @t7 @t77)))
% 2.86/3.08  (define @t128 () (not (tptp.h @t81 @t7)))
% 2.86/3.08  (define @t129 () (@list @t7 @t77))
% 2.86/3.08  (define @t130 () (forall @t129 (or @t96 (not (tptp.closed @t105 @t7)) (not (tptp.combo @t105 @t104 @t7)) @t128 @t127 @t116)))
% 2.86/3.08  (define @t131 () (@list @t7))
% 2.86/3.08  (define @t132 () (not @t130))
% 2.86/3.08  (define @t133 () (forall @t86 @t132))
% 2.86/3.08  (define @t134 () (not @t133))
% 2.86/3.08  (define @t135 () (forall @t119 @t134))
% 2.86/3.08  (define @t136 () (not (tptp.mrel @t7 @t108)))
% 2.86/3.08  (define @t137 () (tptp.h tptp.o @t7))
% 2.86/3.08  (define @t138 () (not @t137))
% 2.86/3.08  (define @t139 () (or @t96 (not (tptp.closed @t111 @t7)) (tptp.combo @t111 @t110 @t7) @t138 @t136 @t120))
% 2.86/3.08  (define @t140 () (forall (@list @t111 @t110 @t7 @t108) @t139))
% 2.86/3.08  (define @t141 () (and @t140 @t135))
% 2.86/3.08  (define @t142 () (lambda @t4 @t141))
% 2.86/3.08  (define @t143 () (or @t96 (_ @t142 @t7)))
% 2.86/3.08  (define @t144 () (forall @t47 @t143))
% 2.86/3.08  (define @t145 () (lambda @t4 @t144))
% 2.86/3.08  (define @t146 () (_ @t34 @t7))
% 2.86/3.08  (define @t147 () (lambda @t49 (forall @t47 (or @t96 @t146))))
% 2.86/3.08  (define @t148 () (@list @t104))
% 2.86/3.08  (define @t149 () (forall (@list @t105) (forall @t148 @t134)))
% 2.86/3.08  (define @t150 () (@list @t110 @t7 @t108))
% 2.86/3.08  (define @t151 () (forall (@list @t111) (forall @t150 @t139)))
% 2.86/3.08  (define @t152 () (not (tptp.closed @t52 @t7)))
% 2.86/3.08  (define @t153 () (forall @t148 (not (forall @t86 (not (forall @t129 (or @t96 @t152 (not (tptp.combo @t52 @t104 @t7)) @t128 @t127 (tptp.open @t52 @t77))))))))
% 2.86/3.08  (define @t154 () (forall @t55 @t153))
% 2.86/3.08  (define @t155 () (@list @t52))
% 2.86/3.08  (define @t156 () (forall @t150 (or @t96 @t152 (tptp.combo @t52 @t110 @t7) @t138 @t136 (tptp.closed @t52 @t108))))
% 2.86/3.08  (define @t157 () (forall @t55 @t156))
% 2.86/3.08  (define @t158 () (and @t157 @t154))
% 2.86/3.08  (define @t159 () (and @t156 @t153))
% 2.86/3.08  (define @t160 () (tptp.open @t10 @t77))
% 2.86/3.08  (define @t161 () (not (tptp.combo @t10 @t104 @t7)))
% 2.86/3.08  (define @t162 () (tptp.closed @t10 @t7))
% 2.86/3.08  (define @t163 () (not @t162))
% 2.86/3.08  (define @t164 () (not (tptp.mrel @t9 @t7)))
% 2.86/3.08  (define @t165 () (tptp.closed @t10 @t108))
% 2.86/3.08  (define @t166 () (tptp.combo @t10 @t110 @t7))
% 2.86/3.08  (define @t167 () (and (forall @t150 (or @t164 @t163 @t166 @t138 @t136 @t165)) (forall @t148 (not (forall @t86 (not (forall @t129 (or @t164 @t163 @t161 @t128 @t127 @t160))))))))
% 2.86/3.08  (define @t168 () (lambda @t23 @t167))
% 2.86/3.08  (define @t169 () (_ @t168 @t52 @t1))
% 2.86/3.08  (define @t170 () (forall @t55 @t169))
% 2.86/3.08  (define @t171 () (lambda @t4 @t170))
% 2.86/3.08  (define @t172 () (_ @t53 @t52 @t1))
% 2.86/3.08  (define @t173 () (lambda @t57 (forall @t55 @t172)))
% 2.86/3.08  (define @t174 () (forall @t148 (not (forall @t86 (not (forall @t129 (or @t96 @t163 @t161 @t128 @t127 @t160)))))))
% 2.86/3.08  (define @t175 () (or @t96 @t163 @t166 @t138 @t136 @t165))
% 2.86/3.08  (define @t176 () (forall @t150 @t175))
% 2.86/3.08  (define @t177 () (@list @t7 @t108))
% 2.86/3.08  (define @t178 () (forall (@list @t110) (forall @t177 @t175)))
% 2.86/3.08  (define @t179 () (tptp.combo @t10 @t52 @t7))
% 2.86/3.08  (define @t180 () (forall @t86 (not (forall @t129 (or @t96 @t163 (not @t179) @t128 @t127 @t160)))))
% 2.86/3.08  (define @t181 () (not @t180))
% 2.86/3.08  (define @t182 () (forall @t55 @t181))
% 2.86/3.08  (define @t183 () (forall @t177 (or @t96 @t163 @t179 @t138 @t136 @t165)))
% 2.86/3.08  (define @t184 () (forall @t55 @t183))
% 2.86/3.08  (define @t185 () (and @t184 @t182))
% 2.86/3.08  (define @t186 () (not @t183))
% 2.86/3.08  (define @t187 () (not (or @t186 @t180)))
% 2.86/3.08  (define @t188 () (tptp.combo @t10 @t13 @t7))
% 2.86/3.08  (define @t189 () (not @t188))
% 2.86/3.08  (define @t190 () (forall @t177 (or @t164 @t163 @t188 @t138 @t136 @t165)))
% 2.86/3.08  (define @t191 () (not @t190))
% 2.86/3.08  (define @t192 () (tptp.h @t52 @t7))
% 2.86/3.08  (define @t193 () (not @t192))
% 2.86/3.08  (define @t194 () (forall @t55 (not (forall @t129 (or @t164 @t163 @t189 @t193 @t127 @t160)))))
% 2.86/3.08  (define @t195 () (or @t191 @t194))
% 2.86/3.08  (define @t196 () (not @t195))
% 2.86/3.08  (define @t197 () (lambda @t21 @t196))
% 2.86/3.08  (define @t198 () (forall @t55 (_ @t197 @t52 @t1)))
% 2.86/3.08  (define @t199 () (lambda @t4 @t198))
% 2.86/3.08  (define @t200 () (forall @t129 (or @t96 @t163 @t189 @t193 @t127 @t160)))
% 2.86/3.08  (define @t201 () (not @t200))
% 2.86/3.08  (define @t202 () (or @t96 @t163 @t188 @t138 @t136 @t165))
% 2.86/3.08  (define @t203 () (forall @t177 @t202))
% 2.86/3.08  (define @t204 () (not @t203))
% 2.86/3.08  (define @t205 () (or @t204 (forall @t55 @t201)))
% 2.86/3.08  (define @t206 () (or @t204 @t201))
% 2.86/3.08  (define @t207 () (or @t201 @t204))
% 2.86/3.08  (define @t208 () (and @t200 @t203))
% 2.86/3.08  (define @t209 () (tptp.h @t17 @t7))
% 2.86/3.08  (define @t210 () (not @t209))
% 2.86/3.08  (define @t211 () (and (forall @t129 (or @t164 @t163 @t189 @t210 @t127 @t160)) @t190))
% 2.86/3.08  (define @t212 () (lambda @t19 @t211))
% 2.86/3.08  (define @t213 () (_ @t212 @t52 @t1))
% 2.86/3.08  (define @t214 () (not @t213))
% 2.86/3.08  (define @t215 () (forall @t55 @t214))
% 2.86/3.08  (define @t216 () (not @t215))
% 2.86/3.08  (define @t217 () (lambda @t4 @t216))
% 2.86/3.08  (define @t218 () (lambda @t57 (not (forall @t55 (not @t172)))))
% 2.86/3.08  (define @t219 () (or @t96 @t163 @t189 @t210 @t127 @t160))
% 2.86/3.08  (define @t220 () (forall @t129 @t219))
% 2.86/3.08  (define @t221 () (lambda @t4 @t203))
% 2.86/3.08  (define @t222 () (_ @t221 @t1))
% 2.86/3.08  (define @t223 () (and @t220 @t222))
% 2.86/3.08  (define @t224 () (lambda @t4 @t223))
% 2.86/3.08  (define @t225 () (@list @t39 @t1))
% 2.86/3.08  (define @t226 () (or @t136 @t165))
% 2.86/3.08  (define @t227 () (or @t96 @t163 @t188 @t138 @t226))
% 2.86/3.08  (define @t228 () (forall @t177 @t227))
% 2.86/3.08  (define @t229 () (@list @t108))
% 2.86/3.08  (define @t230 () (forall @t229 @t227))
% 2.86/3.08  (define @t231 () (forall @t229 @t226))
% 2.86/3.08  (define @t232 () (@var "BOUND_VARIABLE_7865" tptp.mworld))
% 2.86/3.08  (define @t233 () (@list @t232))
% 2.86/3.08  (define @t234 () (or @t96 @t163 @t188 @t138 @t231))
% 2.86/3.08  (define @t235 () (tptp.closed @t10 @t232))
% 2.86/3.08  (define @t236 () (@list @t232))
% 2.86/3.08  (define @t237 () (forall @t236 (or (not (tptp.mrel @t7 @t232)) @t235)))
% 2.86/3.08  (define @t238 () (_ @t12 @t7))
% 2.86/3.08  (define @t239 () (not @t238))
% 2.86/3.08  (define @t240 () (_ @t14 @t7))
% 2.86/3.08  (define @t241 () (_ @t11 @t7))
% 2.86/3.08  (define @t242 () (not @t241))
% 2.86/3.08  (define @t243 () (or @t96 @t242 @t240 @t239 @t237))
% 2.86/3.08  (define @t244 () (or @t242 @t240 @t239 @t237))
% 2.86/3.08  (define @t245 () (not @t240))
% 2.86/3.08  (define @t246 () (not @t245))
% 2.86/3.08  (define @t247 () (or @t242 @t246 @t239))
% 2.86/3.08  (define @t248 () (and @t241 @t245 @t238))
% 2.86/3.08  (define @t249 () (=> @t248 @t237))
% 2.86/3.08  (define @t250 () (or @t96 @t249))
% 2.86/3.08  (define @t251 () (_ @t12 @t1))
% 2.86/3.08  (define @t252 () (_ @t14 @t1))
% 2.86/3.08  (define @t253 () (not @t252))
% 2.86/3.08  (define @t254 () (_ @t11 @t1))
% 2.86/3.08  (define @t255 () (and @t254 @t253 @t251))
% 2.86/3.08  (define @t256 () (forall @t47 (or @t96 @t162)))
% 2.86/3.08  (define @t257 () (=> @t255 @t256))
% 2.86/3.08  (define @t258 () (lambda @t4 @t257))
% 2.86/3.08  (define @t259 () (or @t96 (_ @t258 @t7)))
% 2.86/3.08  (define @t260 () (forall @t47 @t259))
% 2.86/3.08  (define @t261 () (lambda @t4 @t260))
% 2.86/3.08  (define @t262 () (lambda @t4 @t256))
% 2.86/3.08  (define @t263 () (_ @t262 @t1))
% 2.86/3.08  (define @t264 () (=> @t255 @t263))
% 2.86/3.08  (define @t265 () (lambda @t4 @t264))
% 2.86/3.08  (define @t266 () (or @t96 @t241))
% 2.86/3.08  (define @t267 () (_ @t11 @t7))
% 2.86/3.08  (define @t268 () (or @t96 @t267))
% 2.86/3.08  (define @t269 () (forall @t47 @t268))
% 2.86/3.08  (define @t270 () (lambda @t4 @t269))
% 2.86/3.08  (define @t271 () (_ @t147 @t11))
% 2.86/3.08  (define @t272 () (lambda @t4 @t255))
% 2.86/3.08  (define @t273 () (_ @t272 @t1))
% 2.86/3.08  (define @t274 () (=> @t273 @t40))
% 2.86/3.08  (define @t275 () (lambda @t225 @t274))
% 2.86/3.08  (define @t276 () (and @t253 @t251))
% 2.86/3.08  (define @t277 () (lambda @t4 @t276))
% 2.86/3.08  (define @t278 () (_ @t277 @t1))
% 2.86/3.08  (define @t279 () (and @t254 @t278))
% 2.86/3.08  (define @t280 () (lambda @t4 @t279))
% 2.86/3.08  (define @t281 () (lambda @t225 (and @t254 @t40)))
% 2.86/3.08  (define @t282 () (lambda @t4 @t253))
% 2.86/3.08  (define @t283 () (_ @t282 @t1))
% 2.86/3.08  (define @t284 () (and @t283 @t40))
% 2.86/3.08  (define @t285 () (lambda @t225 @t284))
% 2.86/3.08  (define @t286 () (_ @t38 @t14))
% 2.86/3.08  (define @t287 () (_ @t42 @t11))
% 2.86/3.08  (define @t288 () (lambda @t4 @t220))
% 2.86/3.08  (define @t289 () (_ @t288 @t1))
% 2.86/3.08  (define @t290 () (and @t289 @t40))
% 2.86/3.08  (define @t291 () (lambda @t225 @t290))
% 2.86/3.08  (define @t292 () (or @t127 @t160))
% 2.86/3.08  (define @t293 () (or @t96 @t163 @t189 @t210 @t292))
% 2.86/3.08  (define @t294 () (forall @t129 @t293))
% 2.86/3.08  (define @t295 () (@list @t77))
% 2.86/3.08  (define @t296 () (forall @t295 @t293))
% 2.86/3.08  (define @t297 () (forall @t295 @t292))
% 2.86/3.08  (define @t298 () (@var "BOUND_VARIABLE_7761" tptp.mworld))
% 2.86/3.08  (define @t299 () (@list @t298))
% 2.86/3.08  (define @t300 () (or @t96 @t163 @t189 @t210 @t297))
% 2.86/3.08  (define @t301 () (tptp.open @t10 @t298))
% 2.86/3.08  (define @t302 () (@list @t298))
% 2.86/3.08  (define @t303 () (forall @t302 (or (not (tptp.mrel @t7 @t298)) @t301)))
% 2.86/3.08  (define @t304 () (_ @t18 @t7))
% 2.86/3.08  (define @t305 () (not @t304))
% 2.86/3.08  (define @t306 () (or @t96 @t242 @t245 @t305 @t303))
% 2.86/3.08  (define @t307 () (or @t242 @t245 @t305 @t303))
% 2.86/3.08  (define @t308 () (or @t242 @t245 @t305))
% 2.86/3.08  (define @t309 () (and @t241 @t240 @t304))
% 2.86/3.08  (define @t310 () (=> @t309 @t303))
% 2.86/3.08  (define @t311 () (or @t96 @t310))
% 2.86/3.08  (define @t312 () (_ @t18 @t1))
% 2.86/3.08  (define @t313 () (and @t254 @t252 @t312))
% 2.86/3.08  (define @t314 () (tptp.open @t10 @t7))
% 2.86/3.08  (define @t315 () (forall @t47 (or @t96 @t314)))
% 2.86/3.08  (define @t316 () (=> @t313 @t315))
% 2.86/3.08  (define @t317 () (lambda @t4 @t316))
% 2.86/3.08  (define @t318 () (or @t96 (_ @t317 @t7)))
% 2.86/3.08  (define @t319 () (forall @t47 @t318))
% 2.86/3.08  (define @t320 () (lambda @t4 @t319))
% 2.86/3.08  (define @t321 () (lambda @t4 @t315))
% 2.86/3.08  (define @t322 () (_ @t321 @t1))
% 2.86/3.08  (define @t323 () (=> @t313 @t322))
% 2.86/3.08  (define @t324 () (lambda @t4 @t323))
% 2.86/3.08  (define @t325 () (_ @t16 @t7))
% 2.86/3.08  (define @t326 () (or @t96 @t325))
% 2.86/3.08  (define @t327 () (_ @t16 @t7))
% 2.86/3.08  (define @t328 () (or @t96 @t327))
% 2.86/3.08  (define @t329 () (forall @t47 @t328))
% 2.86/3.08  (define @t330 () (lambda @t4 @t329))
% 2.86/3.08  (define @t331 () (_ @t147 @t16))
% 2.86/3.08  (define @t332 () (lambda @t4 @t313))
% 2.86/3.08  (define @t333 () (_ @t332 @t1))
% 2.86/3.08  (define @t334 () (=> @t333 @t40))
% 2.86/3.08  (define @t335 () (lambda @t225 @t334))
% 2.86/3.08  (define @t336 () (and @t252 @t312))
% 2.86/3.08  (define @t337 () (lambda @t4 @t336))
% 2.86/3.08  (define @t338 () (_ @t337 @t1))
% 2.86/3.08  (define @t339 () (and @t254 @t338))
% 2.86/3.08  (define @t340 () (lambda @t4 @t339))
% 2.86/3.08  (define @t341 () (lambda @t225 (and @t252 @t40)))
% 2.86/3.08  (define @t342 () (_ @t42 @t14))
% 2.86/3.08  (define @t343 () (lambda @t19 (_ (_ (_ @t42 (_ @t147 (_ (_ @t44 (_ @t287 (_ @t342 @t18))) @t331))) (_ @t147 (_ (_ @t44 (_ @t287 (_ (_ @t42 @t286) @t12))) @t271))) @t9)))
% 2.86/3.08  (define @t344 () (lambda @t21 (_ (_ @t218 @t343) @t9)))
% 2.86/3.08  (define @t345 () (not @t8))
% 2.86/3.08  (define @t346 () (or @t345 @t46))
% 2.86/3.08  (define @t347 () (not @t54))
% 2.86/3.08  (define @t348 () (forall @t55 @t347))
% 2.86/3.08  (define @t349 () (not @t348))
% 2.86/3.08  (define @t350 () (@const 0 $$unsorted))
% 2.86/3.08  (define @t351 () (@quantifiers_skolemize @t74 1))
% 2.86/3.08  (define @t352 () (@const 1 $$unsorted))
% 2.86/3.08  (define @t353 () (or @t96 @t71 @t64 @t63))
% 2.86/3.08  (define @t354 () (lambda @t4 (forall @t73 @t353)))
% 2.86/3.08  (define @t355 () (_ @t354 tptp.mactual))
% 2.86/3.08  (define @t356 () (or @t64 @t63))
% 2.86/3.08  (define @t357 () (or @t96 @t71 @t356))
% 2.86/3.08  (define @t358 () (forall @t73 @t357))
% 2.86/3.08  (define @t359 () (@list @t62))
% 2.86/3.08  (define @t360 () (forall @t359 @t357))
% 2.86/3.08  (define @t361 () (forall @t359 @t356))
% 2.86/3.08  (define @t362 () (@var "BOUND_VARIABLE_8492" tptp.mworld))
% 2.86/3.08  (define @t363 () (@list @t362))
% 2.86/3.08  (define @t364 () (or @t96 @t71 @t361))
% 2.86/3.08  (define @t365 () (tptp.open tptp.d @t362))
% 2.86/3.08  (define @t366 () (@list @t362))
% 2.86/3.08  (define @t367 () (forall @t366 (or (not (tptp.mrel @t7 @t362)) @t365)))
% 2.86/3.08  (define @t368 () (or @t96 @t71 @t367))
% 2.86/3.08  (define @t369 () (not @t367))
% 2.86/3.08  (define @t370 () (not (and @t70 @t369)))
% 2.86/3.08  (define @t371 () (or @t96 @t370))
% 2.86/3.08  (define @t372 () (tptp.open tptp.d @t7))
% 2.86/3.08  (define @t373 () (forall @t47 (or @t96 @t372)))
% 2.86/3.08  (define @t374 () (not @t373))
% 2.86/3.08  (define @t375 () (tptp.h @t66 @t7))
% 2.86/3.08  (define @t376 () (or @t96 (and (tptp.combo tptp.d @t67 @t7) @t375)))
% 2.86/3.08  (define @t377 () (forall (@list @t67 @t66 @t7) @t376))
% 2.86/3.08  (define @t378 () (and @t377 @t374))
% 2.86/3.08  (define @t379 () (not @t378))
% 2.86/3.08  (define @t380 () (lambda @t4 @t379))
% 2.86/3.08  (define @t381 () (or @t96 (_ @t380 @t7)))
% 2.86/3.08  (define @t382 () (forall @t47 @t381))
% 2.86/3.08  (define @t383 () (lambda @t4 @t382))
% 2.86/3.08  (define @t384 () (@list @t66 @t7))
% 2.86/3.08  (define @t385 () (forall (@list @t67) (forall @t384 @t376)))
% 2.86/3.08  (define @t386 () (forall @t55 @t374))
% 2.86/3.08  (define @t387 () (forall @t384 (or @t96 (and (tptp.combo tptp.d @t52 @t7) @t375))))
% 2.86/3.08  (define @t388 () (forall @t55 @t387))
% 2.86/3.08  (define @t389 () (and @t388 @t386))
% 2.86/3.08  (define @t390 () (and @t387 @t374))
% 2.86/3.08  (define @t391 () (forall @t47 (or @t164 @t372)))
% 2.86/3.08  (define @t392 () (tptp.combo tptp.d @t13 @t7))
% 2.86/3.08  (define @t393 () (and @t392 @t375))
% 2.86/3.08  (define @t394 () (not (and (forall @t384 (or @t164 @t393)) (not @t391))))
% 2.86/3.08  (define @t395 () (lambda @t21 @t394))
% 2.86/3.08  (define @t396 () (_ @t395 @t52 @t1))
% 2.86/3.08  (define @t397 () (not @t396))
% 2.86/3.08  (define @t398 () (forall @t55 @t397))
% 2.86/3.08  (define @t399 () (not @t398))
% 2.86/3.08  (define @t400 () (lambda @t4 @t399))
% 2.86/3.08  (define @t401 () (or @t96 @t393))
% 2.86/3.08  (define @t402 () (forall @t384 @t401))
% 2.86/3.08  (define @t403 () (forall (@list @t66) (forall @t47 @t401)))
% 2.86/3.08  (define @t404 () (forall @t47 (or @t96 (and @t392 @t192))))
% 2.86/3.08  (define @t405 () (forall @t55 @t404))
% 2.86/3.08  (define @t406 () (and @t405 @t386))
% 2.86/3.08  (define @t407 () (=> @t404 @t373))
% 2.86/3.08  (define @t408 () (and @t392 @t209))
% 2.86/3.08  (define @t409 () (=> (forall @t47 (or @t164 @t408)) @t391))
% 2.86/3.08  (define @t410 () (lambda @t19 @t409))
% 2.86/3.08  (define @t411 () (_ @t410 @t52 @t1))
% 2.86/3.08  (define @t412 () (not @t411))
% 2.86/3.08  (define @t413 () (forall @t55 @t412))
% 2.86/3.08  (define @t414 () (not @t413))
% 2.86/3.08  (define @t415 () (lambda @t4 @t414))
% 2.86/3.08  (define @t416 () (forall @t47 (or @t96 @t408)))
% 2.86/3.08  (define @t417 () (lambda @t4 @t373))
% 2.86/3.08  (define @t418 () (_ @t417 @t1))
% 2.86/3.08  (define @t419 () (=> @t416 @t418))
% 2.86/3.08  (define @t420 () (lambda @t4 @t419))
% 2.86/3.08  (define @t421 () (_ @t30 @t7))
% 2.86/3.08  (define @t422 () (or @t96 @t421))
% 2.86/3.08  (define @t423 () (_ @t30 @t7))
% 2.86/3.08  (define @t424 () (or @t96 @t423))
% 2.86/3.08  (define @t425 () (forall @t47 @t424))
% 2.86/3.08  (define @t426 () (lambda @t4 @t425))
% 2.86/3.08  (define @t427 () (_ @t147 @t30))
% 2.86/3.08  (define @t428 () (lambda @t4 @t416))
% 2.86/3.08  (define @t429 () (_ @t428 @t1))
% 2.86/3.08  (define @t430 () (=> @t429 @t40))
% 2.86/3.08  (define @t431 () (lambda @t225 @t430))
% 2.86/3.08  (define @t432 () (_ @t29 @t7))
% 2.86/3.08  (define @t433 () (and @t432 @t304))
% 2.86/3.08  (define @t434 () (or @t96 @t433))
% 2.86/3.08  (define @t435 () (_ @t29 @t1))
% 2.86/3.08  (define @t436 () (lambda @t4 (and @t435 @t312)))
% 2.86/3.08  (define @t437 () (_ @t436 @t7))
% 2.86/3.08  (define @t438 () (or @t96 @t437))
% 2.86/3.08  (define @t439 () (forall @t47 @t438))
% 2.86/3.08  (define @t440 () (lambda @t4 @t439))
% 2.86/3.08  (define @t441 () (lambda @t225 (and @t435 @t40)))
% 2.86/3.08  (define @t442 () (_ @t42 @t29))
% 2.86/3.08  (define @t443 () (lambda @t19 (_ (_ (_ @t44 (_ @t147 (_ @t442 @t18))) @t427) @t9)))
% 2.86/3.08  (define @t444 () (lambda @t21 (_ (_ @t218 @t443) @t9)))
% 2.86/3.08  (define @t445 () (tptp.mrel tptp.mactual @t75))
% 2.86/3.08  (define @t446 () (not (tptp.mrel @t75 @t351)))
% 2.86/3.08  (define @t447 () (forall @t69 (or (not (tptp.mrel @t75 @t65)) @t68)))
% 2.86/3.08  (define @t448 () (not @t447))
% 2.86/3.08  (define @t449 () (not @t445))
% 2.86/3.08  (define @t450 () (or @t449 @t448 @t446 (tptp.open tptp.d @t351)))
% 2.86/3.08  (define @t451 () (@list true))
% 2.86/3.08  (define @t452 () (@list @t450))
% 2.86/3.08  (define @t453 () (tptp.open tptp.d @t77))
% 2.86/3.08  (define @t454 () (not (tptp.combo tptp.d @t350 @t79)))
% 2.86/3.08  (define @t455 () (not (tptp.closed tptp.d @t79)))
% 2.86/3.08  (define @t456 () (not (tptp.mrel @t75 @t79)))
% 2.86/3.08  (define @t457 () (forall @t86 (not (forall @t85 (or @t456 @t455 @t454 @t82 @t80 @t453)))))
% 2.86/3.08  (define @t458 () (not @t457))
% 2.86/3.08  (define @t459 () (and (or @t446 (not (tptp.closed @t350 @t351)) (tptp.combo @t350 @t352 @t351) (not (tptp.h tptp.o @t351)) (not (tptp.mrel @t351 @t75)) (tptp.closed @t350 @t75)) @t458))
% 2.86/3.08  (define @t460 () (or @t449 @t459))
% 2.86/3.08  (define @t461 () (@list false false))
% 2.86/3.08  (define @t462 () (@list false))
% 2.86/3.08  (define @t463 () (@quantifiers_skolemize @t457 0))
% 2.86/3.08  (define @t464 () (forall @t85 (or @t456 @t455 @t454 (not (tptp.h @t463 @t79)) @t80 @t453)))
% 2.86/3.08  (define @t465 () (not (not @t464)))
% 2.86/3.08  (define @t466 () (tptp.combo tptp.d @t350 @t75))
% 2.86/3.08  (define @t467 () (and @t466 (tptp.h @t350 @t75)))
% 2.86/3.08  (define @t468 () (tptp.mrel @t75 @t75))
% 2.86/3.08  (define @t469 () (not @t468))
% 2.86/3.08  (define @t470 () (or @t469 @t467))
% 2.86/3.08  (define @t471 () (@var "BOUND_VARIABLE_8294" $$unsorted))
% 2.86/3.08  (define @t472 () (not (tptp.closed @t471 @t7)))
% 2.86/3.08  (define @t473 () (not (tptp.open @t471 @t7)))
% 2.86/3.08  (define @t474 () (@list @t7 @t471))
% 2.86/3.08  (define @t475 () (or @t96 @t473 @t472))
% 2.86/3.08  (define @t476 () (lambda @t4 (forall @t474 @t475)))
% 2.86/3.08  (define @t477 () (_ @t476 tptp.mactual))
% 2.86/3.08  (define @t478 () (or @t473 @t472))
% 2.86/3.08  (define @t479 () (or @t96 @t478))
% 2.86/3.08  (define @t480 () (forall @t474 @t479))
% 2.86/3.08  (define @t481 () (@list @t471))
% 2.86/3.08  (define @t482 () (forall @t481 @t479))
% 2.86/3.08  (define @t483 () (forall @t481 @t478))
% 2.86/3.08  (define @t484 () (or @t96 @t483))
% 2.86/3.08  (define @t485 () (forall @t55 (or (not (tptp.open @t52 @t7)) @t152)))
% 2.86/3.08  (define @t486 () (tptp.closed @t52 @t1))
% 2.86/3.08  (define @t487 () (tptp.open @t52 @t1))
% 2.86/3.08  (define @t488 () (lambda @t4 (forall @t55 (or (not @t487) (not @t486)))))
% 2.86/3.08  (define @t489 () (_ @t488 @t7))
% 2.86/3.08  (define @t490 () (or @t96 @t489))
% 2.86/3.08  (define @t491 () (forall @t47 @t490))
% 2.86/3.08  (define @t492 () (lambda @t4 @t491))
% 2.86/3.08  (define @t493 () (_ (_ tptp.closed @t52) @t1))
% 2.86/3.08  (define @t494 () (not @t493))
% 2.86/3.08  (define @t495 () (_ (_ tptp.open @t52) @t1))
% 2.86/3.08  (define @t496 () (not @t495))
% 2.86/3.08  (define @t497 () (or @t496 @t494))
% 2.86/3.08  (define @t498 () (not (and @t495 @t493)))
% 2.86/3.08  (define @t499 () (not (and (_ @t16 @t9) (_ @t11 @t9))))
% 2.86/3.08  (define @t500 () (lambda @t23 @t499))
% 2.86/3.08  (define @t501 () (_ @t500 @t52 @t1))
% 2.86/3.08  (define @t502 () (forall @t55 @t501))
% 2.86/3.08  (define @t503 () (lambda @t4 @t502))
% 2.86/3.08  (define @t504 () (_ @t16 @t1))
% 2.86/3.08  (define @t505 () (and @t504 @t254))
% 2.86/3.08  (define @t506 () (lambda @t4 @t505))
% 2.86/3.08  (define @t507 () (_ @t506 @t1))
% 2.86/3.08  (define @t508 () (not @t507))
% 2.86/3.08  (define @t509 () (lambda @t4 @t508))
% 2.86/3.08  (define @t510 () (lambda @t225 (and @t504 @t40)))
% 2.86/3.08  (define @t511 () (_ @t42 @t16))
% 2.86/3.08  (define @t512 () (tptp.closed tptp.d @t7))
% 2.86/3.08  (define @t513 () (lambda @t4 (forall @t47 (or @t96 @t512))))
% 2.86/3.08  (define @t514 () (_ @t513 tptp.mactual))
% 2.86/3.08  (define @t515 () (_ @t25 @t7))
% 2.86/3.08  (define @t516 () (or @t96 @t515))
% 2.86/3.08  (define @t517 () (_ @t25 @t7))
% 2.86/3.08  (define @t518 () (or @t96 @t517))
% 2.86/3.08  (define @t519 () (forall @t47 @t518))
% 2.86/3.08  (define @t520 () (lambda @t4 @t519))
% 2.86/3.08  (define @t521 () (tptp.closed tptp.d @t75))
% 2.86/3.08  (define @t522 () (or @t449 @t521))
% 2.86/3.08  (define @t523 () (not @t521))
% 2.86/3.08  (define @t524 () (tptp.open tptp.d @t75))
% 2.86/3.08  (define @t525 () (not @t524))
% 2.86/3.08  (define @t526 () (or @t449 @t525 @t523))
% 2.86/3.08  (define @t527 () (tptp.h @t463 @t75))
% 2.86/3.08  (define @t528 () (not @t527))
% 2.86/3.08  (define @t529 () (not @t466))
% 2.86/3.08  (define @t530 () (or @t469 @t523 @t529 @t528 @t469 @t524))
% 2.86/3.08  (define @t531 () (and (tptp.combo tptp.d tptp.d @t75) @t527))
% 2.86/3.08  (define @t532 () (not @t531))
% 2.86/3.08  (define @t533 () (or @t469 @t531))
% 2.86/3.08  (assume @p1 @t5)
% 2.86/3.08  (assume @p2 (forall (@list @t1 @t7 @t6) (=> (and @t8 (_ (_ tptp.mrel @t7) @t6)) (_ @t2 @t6))))
% 2.86/3.08  (assume @p3 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t24))))
% 2.86/3.08  (assume @p4 (_ tptp.mlocal (_ tptp.mbox @t25)))
% 2.86/3.08  (assume @p5 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mor @t27) (_ tptp.mnot @t27)))))
% 2.86/3.08  (assume @p6 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t28))))
% 2.86/3.08  (assume @p7 (_ tptp.mlocal (_ tptp.mexists_di (lambda @t21 (_ (_ tptp.mbox @t29) @t9)))))
% 2.86/3.08  (assume @p8 @t33)
% 2.86/3.08  (assume @p9 true)
% 2.86/3.08  (step @p10 (= tptp.mlocal @t35) :rule refl :args (@t35))
% 2.86/3.08  (step @p11 (= tptp.mnot @t38) :rule refl :args (@t38))
% 2.86/3.08  (step @p12 (= tptp.mand @t42) :rule refl :args (@t42))
% 2.86/3.08  (step @p13 (= tptp.mor @t43) :rule refl :args (@t43))
% 2.86/3.08  (step @p14 (= tptp.mimplies @t44) :rule refl :args (@t44))
% 2.86/3.08  (step @p15 (= tptp.mequiv @t45) :rule refl :args (@t45))
% 2.86/3.08  (step @p16 (= tptp.mbox @t50) :rule refl :args (@t50))
% 2.86/3.08  (step @p17 (= tptp.mdia @t51) :rule refl :args (@t51))
% 2.86/3.08  (step @p18 (= tptp.mforall_di @t58) :rule refl :args (@t58))
% 2.86/3.08  (step @p19 (= tptp.mexists_di @t60) :rule refl :args (@t60))
% 2.86/3.08  (step @p20 :rule refl :args (@t61))
% 2.86/3.08  (step @p21 :rule refl :args (@t3))
% 2.86/3.08  (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t3 @t61)))
% 2.86/3.08  (step @p23 :rule symm :premises (@p22))
% 2.86/3.08  (step @p24 :rule eq_resolve :premises (@p21 @p23))
% 2.86/3.08  (step @p25 :rule cong :premises (@p24) :args (@t5))
% 2.86/3.08  (step @p26 :rule eq_resolve :premises (@p1 @p25))
% 2.86/3.08  (step @p27 :rule instantiate :premises (@p26) :args (@t76))
% 2.86/3.08  (step @p28 :rule beta-reduce :args ((= @t100 (forall @t94 (or @t72 @t93)))))
% 2.86/3.08  (step @p29 :rule beta-reduce :args ((= (_ @t35 @t99) @t100)))
% 2.86/3.08  (step @p30 :rule trans :premises (@p29 @p28))
% 2.86/3.08  (step @p31 :rule quant-merge-prenex :args ((= (forall @t47 @t102) @t98)))
% 2.86/3.08  (step @p32 :rule alpha_equiv :args (@t103 (@list @t78 @t83) (@list @t105 @t104)))
% 2.86/3.08  (step @p33 :rule quant-unused-vars :args ((= @t106 @t103)))
% 2.86/3.08  (step @p34 :rule trans :premises (@p33 @p32))
% 2.86/3.08  (step @p35 :rule alpha_equiv :args (@t107 (@list @t89 @t91 @t90 @t88) (@list @t111 @t110 @t109 @t108)))
% 2.86/3.08  (step @p36 :rule quant-unused-vars :args ((= @t112 @t107)))
% 2.86/3.08  (step @p37 :rule trans :premises (@p36 @p35))
% 2.86/3.08  (step @p38 :rule nary_cong :premises (@p37 @p34) :args (@t113))
% 2.86/3.08  (step @p39 :rule quant-miniscope-and :args ((= @t114 @t113)))
% 2.86/3.08  (step @p40 :rule trans :premises (@p39 @p38))
% 2.86/3.08  (step @p41 :rule refl :args (@t96))
% 2.86/3.08  (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t115))
% 2.86/3.08  (step @p43 :rule quant-miniscope-or :args ((= @t102 @t115)))
% 2.86/3.08  (step @p44 :rule trans :premises (@p43 @p42))
% 2.86/3.08  (step @p45 :rule symm :premises (@p44))
% 2.86/3.08  (step @p46 :rule cong :premises (@p45) :args ((forall @t47 (or @t96 @t126))))
% 2.86/3.08  (step @p47 :rule trans :premises (@p46 @p31))
% 2.86/3.08  (step @p48 :rule beta-reduce :args ((= (_ (lambda @t4 (and (forall @t125 (or (not (tptp.mrel @t1 @t109)) @t124 @t123 @t122 @t121 @t120)) (forall @t119 (not (forall @t86 (not (forall @t85 (or (not (tptp.mrel @t1 @t79)) @t118 @t117 @t82 @t80 @t116)))))))) @t7) @t126)))
% 2.86/3.08  (step @p49 :rule refl :args (@t7))
% 2.86/3.08  (step @p50 :rule alpha_equiv :args (@t130 @t131 (@list @t79)))
% 2.86/3.08  (step @p51 :rule cong :premises (@p50) :args (@t132))
% 2.86/3.08  (step @p52 :rule cong :premises (@p51) :args (@t133))
% 2.86/3.08  (step @p53 :rule cong :premises (@p52) :args (@t134))
% 2.86/3.08  (step @p54 :rule cong :premises (@p53) :args (@t135))
% 2.86/3.08  (step @p55 :rule alpha_equiv :args (@t140 @t131 (@list @t109)))
% 2.86/3.08  (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t141))
% 2.86/3.08  (step @p57 :rule cong :premises (@p56) :args (@t142))
% 2.86/3.08  (step @p58 :rule ho_cong :premises (@p57 @p49))
% 2.86/3.08  (step @p59 :rule trans :premises (@p58 @p48))
% 2.86/3.08  (step @p60 :rule refl :args (@t96))
% 2.86/3.08  (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t143))
% 2.86/3.08  (step @p62 :rule cong :premises (@p61) :args (@t144))
% 2.86/3.08  (step @p63 :rule trans :premises (@p62 @p47))
% 2.86/3.08  (step @p64 :rule cong :premises (@p63) :args (@t145))
% 2.86/3.08  (step @p65 :rule beta-reduce :args ((= (_ @t147 @t142) @t145)))
% 2.86/3.08  (step @p66 :rule trans :premises (@p65 @p64))
% 2.86/3.08  (step @p67 :rule quant-merge-prenex :args ((= @t149 @t135)))
% 2.86/3.08  (step @p68 :rule quant-merge-prenex :args ((= @t151 @t140)))
% 2.86/3.08  (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((and @t151 @t149)))
% 2.86/3.08  (step @p70 :rule alpha_equiv :args (@t154 @t155 (@list @t105)))
% 2.86/3.08  (step @p71 :rule alpha_equiv :args (@t157 @t155 (@list @t111)))
% 2.86/3.08  (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t158))
% 2.86/3.08  (step @p73 :rule quant-miniscope-and :args ((= (forall @t55 @t159) @t158)))
% 2.86/3.08  (step @p74 :rule trans :premises (@p73 @p72))
% 2.86/3.08  (step @p75 :rule trans :premises (@p74 @p69))
% 2.86/3.08  (step @p76 :rule beta-reduce :args ((= @t169 @t159)))
% 2.86/3.08  (step @p77 :rule cong :premises (@p76) :args (@t170))
% 2.86/3.08  (step @p78 :rule trans :premises (@p77 @p75))
% 2.86/3.08  (step @p79 :rule cong :premises (@p78) :args (@t171))
% 2.86/3.08  (step @p80 :rule beta-reduce :args ((= (_ @t173 @t168) @t171)))
% 2.86/3.08  (step @p81 :rule trans :premises (@p80 @p79))
% 2.86/3.08  (step @p82 :rule beta-reduce :args ((= (_ (lambda @t4 (and @t176 @t174)) @t9) @t167)))
% 2.86/3.08  (step @p83 :rule refl :args (@t9))
% 2.86/3.08  (step @p84 :rule refl :args (@t174))
% 2.86/3.08  (step @p85 :rule quant-merge-prenex :args ((= @t178 @t176)))
% 2.86/3.08  (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((and @t178 @t174)))
% 2.86/3.08  (step @p87 :rule alpha_equiv :args (@t182 @t155 (@list @t104)))
% 2.86/3.08  (step @p88 :rule alpha_equiv :args (@t184 @t155 (@list @t110)))
% 2.86/3.08  (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t185))
% 2.86/3.08  (step @p90 :rule quant-miniscope-and :args ((= (forall @t55 (and @t183 @t181)) @t185)))
% 2.86/3.08  (step @p91 :rule trans :premises (@p90 @p89))
% 2.86/3.08  (step @p92 :rule trans :premises (@p91 @p86))
% 2.86/3.08  (step @p93 :rule refl :args (@t181))
% 2.86/3.08  (step @p94 :rule bool-double-not-elim :args (@t183))
% 2.86/3.08  (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((and (not @t186) @t181)))
% 2.86/3.08  (step @p96 :rule bool-or-de-morgan :args (@t186 @t180 false))
% 2.86/3.08  (step @p97 :rule trans :premises (@p96 @p95))
% 2.86/3.08  (step @p98 :rule cong :premises (@p97) :args ((forall @t55 @t187)))
% 2.86/3.08  (step @p99 :rule trans :premises (@p98 @p92))
% 2.86/3.08  (step @p100 :rule beta-reduce :args ((= (_ (lambda @t21 (not (or @t191 (forall @t86 (not (forall @t129 (or @t164 @t163 @t189 @t128 @t127 @t160))))))) @t52 @t1) @t187)))
% 2.86/3.08  (step @p101 :rule refl :args (@t1))
% 2.86/3.08  (step @p102 :rule refl :args (@t52))
% 2.86/3.08  (step @p103 :rule alpha_equiv :args (@t194 @t155 (@list @t81)))
% 2.86/3.08  (step @p104 :rule refl :args (@t191))
% 2.86/3.08  (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t195))
% 2.86/3.08  (step @p106 :rule cong :premises (@p105) :args (@t196))
% 2.86/3.08  (step @p107 :rule cong :premises (@p106) :args (@t197))
% 2.86/3.08  (step @p108 :rule ho_cong :premises (@p107 @p102 @p101))
% 2.86/3.08  (step @p109 :rule trans :premises (@p108 @p100))
% 2.86/3.08  (step @p110 :rule cong :premises (@p109) :args (@t198))
% 2.86/3.08  (step @p111 :rule trans :premises (@p110 @p99))
% 2.86/3.08  (step @p112 :rule cong :premises (@p111) :args (@t199))
% 2.86/3.08  (step @p113 :rule beta-reduce :args ((= (_ @t173 @t197) @t199)))
% 2.86/3.08  (step @p114 :rule trans :premises (@p113 @p112))
% 2.86/3.08  (step @p115 :rule beta-reduce :args ((= (_ (lambda @t4 (not @t205)) @t9) @t196)))
% 2.86/3.08  (step @p116 :rule quant-miniscope-or :args ((= (forall @t55 @t206) @t205)))
% 2.86/3.08  (step @p117 :rule aci_norm :args ((= @t207 @t206)))
% 2.86/3.08  (step @p118 :rule cong :premises (@p117) :args ((forall @t55 @t207)))
% 2.86/3.08  (step @p119 :rule trans :premises (@p118 @p116))
% 2.86/3.08  (step @p120 :rule bool-and-de-morgan :args (@t200 @t203 true))
% 2.86/3.08  (step @p121 :rule cong :premises (@p120) :args ((forall @t55 (not @t208))))
% 2.86/3.08  (step @p122 :rule trans :premises (@p121 @p119))
% 2.86/3.08  (step @p123 :rule beta-reduce :args ((= @t213 @t208)))
% 2.86/3.08  (step @p124 :rule cong :premises (@p123) :args (@t214))
% 2.86/3.08  (step @p125 :rule cong :premises (@p124) :args (@t215))
% 2.86/3.08  (step @p126 :rule trans :premises (@p125 @p122))
% 2.86/3.08  (step @p127 :rule cong :premises (@p126) :args (@t216))
% 2.86/3.08  (step @p128 :rule cong :premises (@p127) :args (@t217))
% 2.86/3.08  (step @p129 :rule beta-reduce :args ((= (_ @t218 @t212) @t217)))
% 2.86/3.08  (step @p130 :rule trans :premises (@p129 @p128))
% 2.86/3.08  (step @p131 :rule beta-reduce :args ((= (_ (lambda @t4 (and @t220 @t203)) @t9) @t211)))
% 2.86/3.08  (step @p132 :rule beta-reduce :args ((= @t222 @t203)))
% 2.86/3.08  (step @p133 :rule refl :args (@t220))
% 2.86/3.08  (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t223))
% 2.86/3.08  (step @p135 :rule cong :premises (@p134) :args (@t224))
% 2.86/3.08  (step @p136 :rule beta-reduce :args ((= (_ (lambda @t225 (and @t220 @t40)) @t221) @t224)))
% 2.86/3.08  (step @p137 :rule trans :premises (@p136 @p135))
% 2.86/3.08  (step @p138 :rule aci_norm :args ((= @t227 @t202)))
% 2.86/3.08  (step @p139 :rule cong :premises (@p138) :args (@t228))
% 2.86/3.08  (step @p140 :rule quant-merge-prenex :args ((= (forall @t47 @t230) @t228)))
% 2.86/3.08  (step @p141 :rule alpha_equiv :args (@t231 (@list @t108) @t233))
% 2.86/3.08  (step @p142 :rule refl :args (@t138))
% 2.86/3.08  (step @p143 :rule refl :args (@t188))
% 2.86/3.08  (step @p144 :rule refl :args (@t163))
% 2.86/3.08  (step @p145 :rule nary_cong :premises (@p41 @p144 @p143 @p142 @p141) :args (@t234))
% 2.86/3.08  (step @p146 :rule quant-miniscope-or :args ((= @t230 @t234)))
% 2.86/3.08  (step @p147 :rule trans :premises (@p146 @p145))
% 2.86/3.08  (step @p148 :rule symm :premises (@p147))
% 2.86/3.08  (step @p149 :rule cong :premises (@p148) :args ((forall @t47 (or @t96 @t163 @t188 @t138 @t237))))
% 2.86/3.08  (step @p150 :rule trans :premises (@p149 @p140))
% 2.86/3.08  (step @p151 :rule trans :premises (@p150 @p139))
% 2.86/3.08  (step @p152 :rule refl :args (@t237))
% 2.86/3.08  (step @p153 :rule refl :args (@t137))
% 2.86/3.08  (step @p154 :rule refl :args (@t238))
% 2.86/3.08  (step @p155 :rule cong :premises (@p154 @p153) :args ((= @t238 @t137)))
% 2.86/3.08  (step @p156 :rule symm :premises (@p155))
% 2.86/3.08  (step @p157 :rule eq_resolve :premises (@p154 @p156))
% 2.86/3.08  (step @p158 :rule cong :premises (@p157) :args (@t239))
% 2.86/3.08  (step @p159 :rule refl :args (@t188))
% 2.86/3.08  (step @p160 :rule refl :args (@t240))
% 2.86/3.08  (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t240 @t188)))
% 2.86/3.08  (step @p162 :rule symm :premises (@p161))
% 2.86/3.08  (step @p163 :rule eq_resolve :premises (@p160 @p162))
% 2.86/3.08  (step @p164 :rule refl :args (@t162))
% 2.86/3.08  (step @p165 :rule refl :args (@t241))
% 2.86/3.08  (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t241 @t162)))
% 2.86/3.08  (step @p167 :rule symm :premises (@p166))
% 2.86/3.08  (step @p168 :rule eq_resolve :premises (@p165 @p167))
% 2.86/3.08  (step @p169 :rule cong :premises (@p168) :args (@t242))
% 2.86/3.08  (step @p170 :rule nary_cong :premises (@p41 @p169 @p163 @p158 @p152) :args (@t243))
% 2.86/3.08  (step @p171 :rule cong :premises (@p170) :args ((forall @t47 @t243)))
% 2.86/3.08  (step @p172 :rule trans :premises (@p171 @p151))
% 2.86/3.08  (step @p173 :rule aci_norm :args ((= (or @t96 @t244) @t243)))
% 2.86/3.08  (step @p174 :rule aci_norm :args ((= (or (or @t242 @t240 @t239) @t237) @t244)))
% 2.86/3.08  (step @p175 :rule refl :args (@t239))
% 2.86/3.08  (step @p176 :rule bool-double-not-elim :args (@t240))
% 2.86/3.08  (step @p177 :rule refl :args (@t242))
% 2.86/3.08  (step @p178 :rule nary_cong :premises (@p177 @p176 @p175) :args (@t247))
% 2.86/3.08  (step @p179 :rule aci_norm :args ((= (or @t242 (or @t246 @t239)) @t247)))
% 2.86/3.08  (step @p180 :rule trans :premises (@p179 @p178))
% 2.86/3.08  (step @p181 :rule bool-and-de-morgan :args (@t245 @t238 true))
% 2.86/3.08  (step @p182 :rule nary_cong :premises (@p177 @p181) :args ((or @t242 (not (and @t245 @t238)))))
% 2.86/3.08  (step @p183 :rule bool-and-de-morgan :args (@t241 @t245 (and @t238)))
% 2.86/3.08  (step @p184 :rule trans :premises (@p183 @p182))
% 2.86/3.08  (step @p185 :rule trans :premises (@p184 @p180))
% 2.86/3.08  (step @p186 :rule nary_cong :premises (@p185 @p152) :args ((or (not @t248) @t237)))
% 2.86/3.08  (step @p187 :rule trans :premises (@p186 @p174))
% 2.86/3.08  (step @p188 :rule bool-impl-elim :args (@t248 @t237))
% 2.86/3.08  (step @p189 :rule trans :premises (@p188 @p187))
% 2.86/3.08  (step @p190 :rule nary_cong :premises (@p41 @p189) :args (@t250))
% 2.86/3.08  (step @p191 :rule trans :premises (@p190 @p173))
% 2.86/3.08  (step @p192 :rule cong :premises (@p191) :args ((forall @t47 @t250)))
% 2.86/3.08  (step @p193 :rule trans :premises (@p192 @p172))
% 2.86/3.08  (step @p194 :rule beta-reduce :args ((= (_ (lambda @t4 (=> @t255 (forall @t236 (or (not (tptp.mrel @t1 @t232)) @t235)))) @t7) @t249)))
% 2.86/3.08  (step @p195 :rule alpha_equiv :args (@t256 @t131 @t233))
% 2.86/3.08  (step @p196 :rule refl :args (@t255))
% 2.86/3.08  (step @p197 :rule cong :premises (@p196 @p195) :args (@t257))
% 2.86/3.08  (step @p198 :rule cong :premises (@p197) :args (@t258))
% 2.86/3.08  (step @p199 :rule ho_cong :premises (@p198 @p49))
% 2.86/3.08  (step @p200 :rule trans :premises (@p199 @p194))
% 2.86/3.08  (step @p201 :rule nary_cong :premises (@p60 @p200) :args (@t259))
% 2.86/3.08  (step @p202 :rule cong :premises (@p201) :args (@t260))
% 2.86/3.08  (step @p203 :rule trans :premises (@p202 @p193))
% 2.86/3.08  (step @p204 :rule cong :premises (@p203) :args (@t261))
% 2.86/3.08  (step @p205 :rule beta-reduce :args ((= (_ @t147 @t258) @t261)))
% 2.86/3.08  (step @p206 :rule trans :premises (@p205 @p204))
% 2.86/3.08  (step @p207 :rule beta-reduce :args ((= @t263 @t256)))
% 2.86/3.08  (step @p208 :rule refl :args (@t255))
% 2.86/3.08  (step @p209 :rule cong :premises (@p208 @p207) :args (@t264))
% 2.86/3.08  (step @p210 :rule cong :premises (@p209) :args (@t265))
% 2.86/3.08  (step @p211 :rule beta-reduce :args ((= (_ (lambda @t225 (=> @t255 @t40)) @t262) @t265)))
% 2.86/3.08  (step @p212 :rule trans :premises (@p211 @p210))
% 2.86/3.08  (step @p213 :rule nary_cong :premises (@p41 @p168) :args (@t266))
% 2.86/3.08  (step @p214 :rule cong :premises (@p213) :args ((forall @t47 @t266)))
% 2.86/3.08  (step @p215 :rule refl :args (@t267))
% 2.86/3.08  (step @p216 :rule nary_cong :premises (@p60 @p215) :args (@t268))
% 2.86/3.08  (step @p217 :rule cong :premises (@p216) :args (@t269))
% 2.86/3.08  (step @p218 :rule trans :premises (@p217 @p214))
% 2.86/3.08  (step @p219 :rule cong :premises (@p218) :args (@t270))
% 2.86/3.08  (step @p220 :rule beta-reduce :args ((= @t271 @t270)))
% 2.86/3.08  (step @p221 :rule trans :premises (@p220 @p219))
% 2.86/3.08  (step @p222 :rule refl :args (@t40))
% 2.86/3.08  (step @p223 :rule beta-reduce :args ((= @t273 @t255)))
% 2.86/3.08  (step @p224 :rule cong :premises (@p223 @p222) :args (@t274))
% 2.86/3.08  (step @p225 :rule cong :premises (@p224) :args (@t275))
% 2.86/3.08  (step @p226 :rule beta-reduce :args ((= (_ @t44 @t272) @t275)))
% 2.86/3.08  (step @p227 :rule trans :premises (@p226 @p225))
% 2.86/3.08  (step @p228 :rule aci_norm :args ((= (and @t254 @t276) @t255)))
% 2.86/3.08  (step @p229 :rule beta-reduce :args ((= @t278 @t276)))
% 2.86/3.08  (step @p230 :rule refl :args (@t254))
% 2.86/3.08  (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t279))
% 2.86/3.08  (step @p232 :rule trans :premises (@p231 @p228))
% 2.86/3.08  (step @p233 :rule cong :premises (@p232) :args (@t280))
% 2.86/3.08  (step @p234 :rule beta-reduce :args ((= (_ @t281 @t277) @t280)))
% 2.86/3.08  (step @p235 :rule trans :premises (@p234 @p233))
% 2.86/3.08  (step @p236 :rule beta-reduce :args ((= (_ (lambda @t225 (and @t253 @t40)) @t12) @t277)))
% 2.86/3.08  (step @p237 :rule refl :args (@t12))
% 2.86/3.08  (step @p238 :rule beta-reduce :args ((= @t283 @t253)))
% 2.86/3.08  (step @p239 :rule nary_cong :premises (@p238 @p222) :args (@t284))
% 2.86/3.08  (step @p240 :rule cong :premises (@p239) :args (@t285))
% 2.86/3.08  (step @p241 :rule beta-reduce :args ((= (_ @t42 @t282) @t285)))
% 2.86/3.08  (step @p242 :rule trans :premises (@p241 @p240))
% 2.86/3.08  (step @p243 :rule beta-reduce :args ((= @t286 @t282)))
% 2.86/3.08  (step @p244 :rule refl :args (@t42))
% 2.86/3.08  (step @p245 :rule ho_cong :premises (@p244 @p243))
% 2.86/3.08  (step @p246 :rule trans :premises (@p245 @p242))
% 2.86/3.08  (step @p247 :rule ho_cong :premises (@p246 @p237))
% 2.86/3.08  (step @p248 :rule trans :premises (@p247 @p236))
% 2.86/3.08  (step @p249 :rule beta-reduce :args ((= @t287 @t281)))
% 2.86/3.08  (step @p250 :rule ho_cong :premises (@p249 @p248))
% 2.86/3.08  (step @p251 :rule trans :premises (@p250 @p235))
% 2.86/3.08  (step @p252 :rule refl :args (@t44))
% 2.86/3.08  (step @p253 :rule ho_cong :premises (@p252 @p251))
% 2.86/3.08  (step @p254 :rule trans :premises (@p253 @p227))
% 2.86/3.08  (step @p255 :rule ho_cong :premises (@p254 @p221))
% 2.86/3.08  (step @p256 :rule trans :premises (@p255 @p212))
% 2.86/3.08  (step @p257 :rule refl :args (@t147))
% 2.86/3.08  (step @p258 :rule ho_cong :premises (@p257 @p256))
% 2.86/3.08  (step @p259 :rule trans :premises (@p258 @p206))
% 2.86/3.08  (step @p260 :rule beta-reduce :args ((= @t289 @t220)))
% 2.86/3.08  (step @p261 :rule nary_cong :premises (@p260 @p222) :args (@t290))
% 2.86/3.08  (step @p262 :rule cong :premises (@p261) :args (@t291))
% 2.86/3.08  (step @p263 :rule beta-reduce :args ((= (_ @t42 @t288) @t291)))
% 2.86/3.08  (step @p264 :rule trans :premises (@p263 @p262))
% 2.86/3.08  (step @p265 :rule aci_norm :args ((= @t293 @t219)))
% 2.86/3.08  (step @p266 :rule cong :premises (@p265) :args (@t294))
% 2.86/3.08  (step @p267 :rule quant-merge-prenex :args ((= (forall @t47 @t296) @t294)))
% 2.86/3.08  (step @p268 :rule alpha_equiv :args (@t297 (@list @t77) @t299))
% 2.86/3.08  (step @p269 :rule refl :args (@t210))
% 2.86/3.08  (step @p270 :rule refl :args (@t189))
% 2.86/3.08  (step @p271 :rule nary_cong :premises (@p41 @p144 @p270 @p269 @p268) :args (@t300))
% 2.86/3.08  (step @p272 :rule quant-miniscope-or :args ((= @t296 @t300)))
% 2.86/3.08  (step @p273 :rule trans :premises (@p272 @p271))
% 2.86/3.08  (step @p274 :rule symm :premises (@p273))
% 2.86/3.08  (step @p275 :rule cong :premises (@p274) :args ((forall @t47 (or @t96 @t163 @t189 @t210 @t303))))
% 2.86/3.08  (step @p276 :rule trans :premises (@p275 @p267))
% 2.86/3.08  (step @p277 :rule trans :premises (@p276 @p266))
% 2.86/3.08  (step @p278 :rule refl :args (@t303))
% 2.86/3.08  (step @p279 :rule refl :args (@t209))
% 2.86/3.08  (step @p280 :rule refl :args (@t304))
% 2.86/3.08  (step @p281 :rule cong :premises (@p280 @p279) :args ((= @t304 @t209)))
% 2.86/3.08  (step @p282 :rule symm :premises (@p281))
% 2.86/3.08  (step @p283 :rule eq_resolve :premises (@p280 @p282))
% 2.86/3.08  (step @p284 :rule cong :premises (@p283) :args (@t305))
% 2.86/3.08  (step @p285 :rule cong :premises (@p163) :args (@t245))
% 2.86/3.08  (step @p286 :rule nary_cong :premises (@p41 @p169 @p285 @p284 @p278) :args (@t306))
% 2.86/3.08  (step @p287 :rule cong :premises (@p286) :args ((forall @t47 @t306)))
% 2.86/3.08  (step @p288 :rule trans :premises (@p287 @p277))
% 2.86/3.08  (step @p289 :rule aci_norm :args ((= (or @t96 @t307) @t306)))
% 2.86/3.08  (step @p290 :rule aci_norm :args ((= (or @t308 @t303) @t307)))
% 2.86/3.08  (step @p291 :rule aci_norm :args ((= (or @t242 (or @t245 @t305)) @t308)))
% 2.86/3.08  (step @p292 :rule bool-and-de-morgan :args (@t240 @t304 true))
% 2.86/3.08  (step @p293 :rule nary_cong :premises (@p177 @p292) :args ((or @t242 (not (and @t240 @t304)))))
% 2.86/3.08  (step @p294 :rule bool-and-de-morgan :args (@t241 @t240 (and @t304)))
% 2.86/3.08  (step @p295 :rule trans :premises (@p294 @p293))
% 2.86/3.08  (step @p296 :rule trans :premises (@p295 @p291))
% 2.86/3.08  (step @p297 :rule nary_cong :premises (@p296 @p278) :args ((or (not @t309) @t303)))
% 2.86/3.08  (step @p298 :rule trans :premises (@p297 @p290))
% 2.86/3.08  (step @p299 :rule bool-impl-elim :args (@t309 @t303))
% 2.86/3.08  (step @p300 :rule trans :premises (@p299 @p298))
% 2.86/3.08  (step @p301 :rule nary_cong :premises (@p41 @p300) :args (@t311))
% 2.86/3.08  (step @p302 :rule trans :premises (@p301 @p289))
% 2.86/3.08  (step @p303 :rule cong :premises (@p302) :args ((forall @t47 @t311)))
% 2.86/3.08  (step @p304 :rule trans :premises (@p303 @p288))
% 2.86/3.08  (step @p305 :rule beta-reduce :args ((= (_ (lambda @t4 (=> @t313 (forall @t302 (or (not (tptp.mrel @t1 @t298)) @t301)))) @t7) @t310)))
% 2.86/3.08  (step @p306 :rule alpha_equiv :args (@t315 @t131 @t299))
% 2.86/3.08  (step @p307 :rule refl :args (@t313))
% 2.86/3.08  (step @p308 :rule cong :premises (@p307 @p306) :args (@t316))
% 2.86/3.08  (step @p309 :rule cong :premises (@p308) :args (@t317))
% 2.86/3.08  (step @p310 :rule ho_cong :premises (@p309 @p49))
% 2.86/3.08  (step @p311 :rule trans :premises (@p310 @p305))
% 2.86/3.08  (step @p312 :rule nary_cong :premises (@p60 @p311) :args (@t318))
% 2.86/3.08  (step @p313 :rule cong :premises (@p312) :args (@t319))
% 2.86/3.08  (step @p314 :rule trans :premises (@p313 @p304))
% 2.86/3.08  (step @p315 :rule cong :premises (@p314) :args (@t320))
% 2.86/3.08  (step @p316 :rule beta-reduce :args ((= (_ @t147 @t317) @t320)))
% 2.86/3.08  (step @p317 :rule trans :premises (@p316 @p315))
% 2.86/3.08  (step @p318 :rule beta-reduce :args ((= @t322 @t315)))
% 2.86/3.08  (step @p319 :rule refl :args (@t313))
% 2.86/3.08  (step @p320 :rule cong :premises (@p319 @p318) :args (@t323))
% 2.86/3.08  (step @p321 :rule cong :premises (@p320) :args (@t324))
% 2.86/3.08  (step @p322 :rule beta-reduce :args ((= (_ (lambda @t225 (=> @t313 @t40)) @t321) @t324)))
% 2.86/3.08  (step @p323 :rule trans :premises (@p322 @p321))
% 2.86/3.08  (step @p324 :rule refl :args (@t314))
% 2.86/3.08  (step @p325 :rule refl :args (@t325))
% 2.86/3.08  (step @p326 :rule cong :premises (@p325 @p324) :args ((= @t325 @t314)))
% 2.86/3.08  (step @p327 :rule symm :premises (@p326))
% 2.86/3.08  (step @p328 :rule eq_resolve :premises (@p325 @p327))
% 2.86/3.08  (step @p329 :rule nary_cong :premises (@p41 @p328) :args (@t326))
% 2.86/3.08  (step @p330 :rule cong :premises (@p329) :args ((forall @t47 @t326)))
% 2.86/3.08  (step @p331 :rule refl :args (@t327))
% 2.86/3.08  (step @p332 :rule nary_cong :premises (@p60 @p331) :args (@t328))
% 2.86/3.08  (step @p333 :rule cong :premises (@p332) :args (@t329))
% 2.86/3.08  (step @p334 :rule trans :premises (@p333 @p330))
% 2.86/3.08  (step @p335 :rule cong :premises (@p334) :args (@t330))
% 2.86/3.08  (step @p336 :rule beta-reduce :args ((= @t331 @t330)))
% 2.86/3.08  (step @p337 :rule trans :premises (@p336 @p335))
% 2.86/3.08  (step @p338 :rule beta-reduce :args ((= @t333 @t313)))
% 2.86/3.08  (step @p339 :rule cong :premises (@p338 @p222) :args (@t334))
% 2.86/3.08  (step @p340 :rule cong :premises (@p339) :args (@t335))
% 2.86/3.08  (step @p341 :rule beta-reduce :args ((= (_ @t44 @t332) @t335)))
% 2.86/3.08  (step @p342 :rule trans :premises (@p341 @p340))
% 2.86/3.08  (step @p343 :rule aci_norm :args ((= (and @t254 @t336) @t313)))
% 2.86/3.08  (step @p344 :rule beta-reduce :args ((= @t338 @t336)))
% 2.86/3.08  (step @p345 :rule nary_cong :premises (@p230 @p344) :args (@t339))
% 2.86/3.08  (step @p346 :rule trans :premises (@p345 @p343))
% 2.86/3.08  (step @p347 :rule cong :premises (@p346) :args (@t340))
% 2.86/3.08  (step @p348 :rule beta-reduce :args ((= (_ @t281 @t337) @t340)))
% 2.86/3.08  (step @p349 :rule trans :premises (@p348 @p347))
% 2.86/3.08  (step @p350 :rule beta-reduce :args ((= (_ @t341 @t18) @t337)))
% 2.86/3.08  (step @p351 :rule refl :args (@t18))
% 2.86/3.08  (step @p352 :rule beta-reduce :args ((= @t342 @t341)))
% 2.86/3.08  (step @p353 :rule ho_cong :premises (@p352 @p351))
% 2.86/3.08  (step @p354 :rule trans :premises (@p353 @p350))
% 2.86/3.08  (step @p355 :rule ho_cong :premises (@p249 @p354))
% 2.86/3.08  (step @p356 :rule trans :premises (@p355 @p349))
% 2.86/3.08  (step @p357 :rule ho_cong :premises (@p252 @p356))
% 2.86/3.08  (step @p358 :rule trans :premises (@p357 @p342))
% 2.86/3.08  (step @p359 :rule ho_cong :premises (@p358 @p337))
% 2.86/3.08  (step @p360 :rule trans :premises (@p359 @p323))
% 2.86/3.08  (step @p361 :rule ho_cong :premises (@p257 @p360))
% 2.86/3.08  (step @p362 :rule trans :premises (@p361 @p317))
% 2.86/3.08  (step @p363 :rule ho_cong :premises (@p244 @p362))
% 2.86/3.08  (step @p364 :rule trans :premises (@p363 @p264))
% 2.86/3.08  (step @p365 :rule ho_cong :premises (@p364 @p259))
% 2.86/3.08  (step @p366 :rule trans :premises (@p365 @p137))
% 2.86/3.08  (step @p367 :rule ho_cong :premises (@p366 @p83))
% 2.86/3.08  (step @p368 :rule trans :premises (@p367 @p131))
% 2.86/3.08  (step @p369 :rule cong :premises (@p368) :args (@t343))
% 2.86/3.08  (step @p370 :rule refl :args (@t218))
% 2.86/3.08  (step @p371 :rule ho_cong :premises (@p370 @p369))
% 2.86/3.08  (step @p372 :rule trans :premises (@p371 @p130))
% 2.86/3.08  (step @p373 :rule ho_cong :premises (@p372 @p83))
% 2.86/3.08  (step @p374 :rule trans :premises (@p373 @p115))
% 2.86/3.08  (step @p375 :rule cong :premises (@p374) :args (@t344))
% 2.86/3.08  (step @p376 :rule refl :args (@t173))
% 2.86/3.08  (step @p377 :rule ho_cong :premises (@p376 @p375))
% 2.86/3.08  (step @p378 :rule trans :premises (@p377 @p114))
% 2.86/3.08  (step @p379 :rule ho_cong :premises (@p378 @p83))
% 2.86/3.08  (step @p380 :rule trans :premises (@p379 @p82))
% 2.86/3.08  (step @p381 :rule cong :premises (@p380) :args ((lambda @t23 (_ (_ @t173 @t344) @t9))))
% 2.86/3.08  (step @p382 :rule ho_cong :premises (@p376 @p381))
% 2.86/3.08  (step @p383 :rule trans :premises (@p382 @p81))
% 2.86/3.08  (step @p384 :rule ho_cong :premises (@p257 @p383))
% 2.86/3.08  (step @p385 :rule trans :premises (@p384 @p66))
% 2.86/3.08  (step @p386 :rule refl :args (@t35))
% 2.86/3.08  (step @p387 :rule ho_cong :premises (@p386 @p385))
% 2.86/3.08  (step @p388 :rule trans :premises (@p387 @p30))
% 2.86/3.08  (step @p389 :rule refl :args (@t11))
% 2.86/3.08  (step @p390 :rule refl :args (@t146))
% 2.86/3.08  (step @p391 :rule refl :args (@t46))
% 2.86/3.08  (step @p392 :rule cong :premises (@p391 @p390) :args ((= @t46 @t146)))
% 2.86/3.08  (step @p393 :rule symm :premises (@p392))
% 2.86/3.08  (step @p394 :rule eq_resolve :premises (@p391 @p393))
% 2.86/3.08  (step @p395 :rule refl :args (@t95))
% 2.86/3.08  (step @p396 :rule refl :args (@t8))
% 2.86/3.08  (step @p397 :rule cong :premises (@p396 @p395) :args ((= @t8 @t95)))
% 2.86/3.08  (step @p398 :rule symm :premises (@p397))
% 2.86/3.08  (step @p399 :rule eq_resolve :premises (@p396 @p398))
% 2.86/3.08  (step @p400 :rule cong :premises (@p399) :args (@t345))
% 2.86/3.08  (step @p401 :rule nary_cong :premises (@p400 @p394) :args (@t346))
% 2.86/3.08  (step @p402 :rule cong :premises (@p401) :args ((forall @t47 @t346)))
% 2.86/3.08  (step @p403 :rule bool-impl-elim :args (@t8 @t46))
% 2.86/3.08  (step @p404 :rule cong :premises (@p403) :args (@t48))
% 2.86/3.08  (step @p405 :rule trans :premises (@p404 @p402))
% 2.86/3.08  (step @p406 :rule cong :premises (@p405) :args (@t50))
% 2.86/3.08  (step @p407 :rule trans :premises (@p16 @p406))
% 2.86/3.08  (step @p408 :rule ho_cong :premises (@p407 @p389))
% 2.86/3.08  (step @p409 :rule refl :args (@t14))
% 2.86/3.08  (step @p410 :rule ho_cong :premises (@p11 @p409))
% 2.86/3.08  (step @p411 :rule ho_cong :premises (@p12 @p410))
% 2.86/3.08  (step @p412 :rule ho_cong :premises (@p411 @p237))
% 2.86/3.08  (step @p413 :rule ho_cong :premises (@p12 @p389))
% 2.86/3.08  (step @p414 :rule ho_cong :premises (@p413 @p412))
% 2.86/3.08  (step @p415 :rule ho_cong :premises (@p14 @p414))
% 2.86/3.08  (step @p416 :rule ho_cong :premises (@p415 @p408))
% 2.86/3.08  (step @p417 :rule ho_cong :premises (@p407 @p416))
% 2.86/3.08  (step @p418 :rule refl :args (@t16))
% 2.86/3.08  (step @p419 :rule ho_cong :premises (@p407 @p418))
% 2.86/3.08  (step @p420 :rule ho_cong :premises (@p12 @p409))
% 2.86/3.08  (step @p421 :rule ho_cong :premises (@p420 @p351))
% 2.86/3.08  (step @p422 :rule ho_cong :premises (@p413 @p421))
% 2.86/3.08  (step @p423 :rule ho_cong :premises (@p14 @p422))
% 2.86/3.08  (step @p424 :rule ho_cong :premises (@p423 @p419))
% 2.86/3.08  (step @p425 :rule ho_cong :premises (@p407 @p424))
% 2.86/3.08  (step @p426 :rule ho_cong :premises (@p12 @p425))
% 2.86/3.08  (step @p427 :rule ho_cong :premises (@p426 @p417))
% 2.86/3.08  (step @p428 :rule ho_cong :premises (@p427 @p83))
% 2.86/3.08  (step @p429 :rule cong :premises (@p428) :args (@t20))
% 2.86/3.08  (step @p430 :rule refl :args (@t172))
% 2.86/3.08  (step @p431 :rule refl :args (@t54))
% 2.86/3.08  (step @p432 :rule cong :premises (@p431 @p430) :args ((= @t54 @t172)))
% 2.86/3.08  (step @p433 :rule symm :premises (@p432))
% 2.86/3.08  (step @p434 :rule eq_resolve :premises (@p431 @p433))
% 2.86/3.08  (step @p435 :rule cong :premises (@p434) :args (@t347))
% 2.86/3.08  (step @p436 :rule cong :premises (@p435) :args (@t348))
% 2.86/3.08  (step @p437 :rule cong :premises (@p436) :args (@t349))
% 2.86/3.08  (step @p438 :rule exists-elim :args ((= @t59 @t349)))
% 2.86/3.08  (step @p439 :rule trans :premises (@p438 @p437))
% 2.86/3.08  (step @p440 :rule cong :premises (@p439) :args (@t60))
% 2.86/3.08  (step @p441 :rule trans :premises (@p19 @p440))
% 2.86/3.08  (step @p442 :rule ho_cong :premises (@p441 @p429))
% 2.86/3.08  (step @p443 :rule ho_cong :premises (@p442 @p83))
% 2.86/3.08  (step @p444 :rule cong :premises (@p443) :args (@t22))
% 2.86/3.08  (step @p445 :rule cong :premises (@p434) :args (@t56))
% 2.86/3.08  (step @p446 :rule cong :premises (@p445) :args (@t58))
% 2.86/3.08  (step @p447 :rule trans :premises (@p18 @p446))
% 2.86/3.08  (step @p448 :rule ho_cong :premises (@p447 @p444))
% 2.86/3.08  (step @p449 :rule ho_cong :premises (@p448 @p83))
% 2.86/3.08  (step @p450 :rule cong :premises (@p449) :args (@t24))
% 2.86/3.08  (step @p451 :rule ho_cong :premises (@p447 @p450))
% 2.86/3.08  (step @p452 :rule ho_cong :premises (@p407 @p451))
% 2.86/3.08  (step @p453 :rule ho_cong :premises (@p10 @p452))
% 2.86/3.08  (step @p454 :rule trans :premises (@p453 @p388))
% 2.86/3.08  (step @p455 :rule eq_resolve :premises (@p3 @p454))
% 2.86/3.08  (step @p456 :rule instantiate :premises (@p455) :args ((@list @t75 @t350 @t352 @t351 @t75 tptp.d @t350)))
% 2.86/3.08  (step @p457 :rule beta-reduce :args ((= @t355 @t74)))
% 2.86/3.08  (step @p458 :rule beta-reduce :args ((= (_ @t35 @t354) @t355)))
% 2.86/3.08  (step @p459 :rule trans :premises (@p458 @p457))
% 2.86/3.08  (step @p460 :rule aci_norm :args ((= @t357 @t353)))
% 2.86/3.08  (step @p461 :rule cong :premises (@p460) :args (@t358))
% 2.86/3.08  (step @p462 :rule quant-merge-prenex :args ((= (forall @t47 @t360) @t358)))
% 2.86/3.08  (step @p463 :rule alpha_equiv :args (@t361 (@list @t62) @t363))
% 2.86/3.08  (step @p464 :rule refl :args (@t71))
% 2.86/3.08  (step @p465 :rule nary_cong :premises (@p41 @p464 @p463) :args (@t364))
% 2.86/3.08  (step @p466 :rule quant-miniscope-or :args ((= @t360 @t364)))
% 2.86/3.08  (step @p467 :rule trans :premises (@p466 @p465))
% 2.86/3.08  (step @p468 :rule symm :premises (@p467))
% 2.86/3.08  (step @p469 :rule cong :premises (@p468) :args ((forall @t47 @t368)))
% 2.86/3.08  (step @p470 :rule trans :premises (@p469 @p462))
% 2.86/3.08  (step @p471 :rule trans :premises (@p470 @p461))
% 2.86/3.08  (step @p472 :rule aci_norm :args ((= (or @t96 (or @t71 @t367)) @t368)))
% 2.86/3.08  (step @p473 :rule bool-double-not-elim :args (@t367))
% 2.86/3.08  (step @p474 :rule nary_cong :premises (@p464 @p473) :args ((or @t71 (not @t369))))
% 2.86/3.08  (step @p475 :rule bool-and-de-morgan :args (@t70 @t369 true))
% 2.86/3.08  (step @p476 :rule trans :premises (@p475 @p474))
% 2.86/3.08  (step @p477 :rule nary_cong :premises (@p41 @p476) :args (@t371))
% 2.86/3.08  (step @p478 :rule trans :premises (@p477 @p472))
% 2.86/3.08  (step @p479 :rule cong :premises (@p478) :args ((forall @t47 @t371)))
% 2.86/3.08  (step @p480 :rule trans :premises (@p479 @p471))
% 2.86/3.08  (step @p481 :rule beta-reduce :args ((= (_ (lambda @t4 (not (and (forall @t69 (or (not (tptp.mrel @t1 @t65)) @t68)) (not (forall @t366 (or (not (tptp.mrel @t1 @t362)) @t365)))))) @t7) @t370)))
% 2.86/3.08  (step @p482 :rule alpha_equiv :args (@t373 @t131 @t363))
% 2.86/3.08  (step @p483 :rule cong :premises (@p482) :args (@t374))
% 2.86/3.08  (step @p484 :rule alpha_equiv :args (@t377 @t131 (@list @t65)))
% 2.86/3.08  (step @p485 :rule nary_cong :premises (@p484 @p483) :args (@t378))
% 2.86/3.08  (step @p486 :rule cong :premises (@p485) :args (@t379))
% 2.86/3.08  (step @p487 :rule cong :premises (@p486) :args (@t380))
% 2.86/3.08  (step @p488 :rule ho_cong :premises (@p487 @p49))
% 2.86/3.08  (step @p489 :rule trans :premises (@p488 @p481))
% 2.86/3.08  (step @p490 :rule nary_cong :premises (@p60 @p489) :args (@t381))
% 2.86/3.08  (step @p491 :rule cong :premises (@p490) :args (@t382))
% 2.86/3.08  (step @p492 :rule trans :premises (@p491 @p480))
% 2.86/3.08  (step @p493 :rule cong :premises (@p492) :args (@t383))
% 2.86/3.08  (step @p494 :rule beta-reduce :args ((= (_ @t147 @t380) @t383)))
% 2.86/3.08  (step @p495 :rule trans :premises (@p494 @p493))
% 2.86/3.08  (step @p496 :rule refl :args (@t374))
% 2.86/3.08  (step @p497 :rule quant-merge-prenex :args ((= @t385 @t377)))
% 2.86/3.08  (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((and @t385 @t374)))
% 2.86/3.08  (step @p499 :rule quant-unused-vars :args ((= @t386 @t374)))
% 2.86/3.08  (step @p500 :rule alpha_equiv :args (@t388 @t155 (@list @t67)))
% 2.86/3.08  (step @p501 :rule nary_cong :premises (@p500 @p499) :args (@t389))
% 2.86/3.08  (step @p502 :rule quant-miniscope-and :args ((= (forall @t55 @t390) @t389)))
% 2.86/3.08  (step @p503 :rule trans :premises (@p502 @p501))
% 2.86/3.08  (step @p504 :rule trans :premises (@p503 @p498))
% 2.86/3.08  (step @p505 :rule bool-double-not-elim :args (@t390))
% 2.86/3.08  (step @p506 :rule beta-reduce :args ((= @t396 (not @t390))))
% 2.86/3.08  (step @p507 :rule cong :premises (@p506) :args (@t397))
% 2.86/3.08  (step @p508 :rule trans :premises (@p507 @p505))
% 2.86/3.08  (step @p509 :rule cong :premises (@p508) :args (@t398))
% 2.86/3.08  (step @p510 :rule trans :premises (@p509 @p504))
% 2.86/3.08  (step @p511 :rule cong :premises (@p510) :args (@t399))
% 2.86/3.08  (step @p512 :rule cong :premises (@p511) :args (@t400))
% 2.86/3.08  (step @p513 :rule beta-reduce :args ((= (_ @t218 @t395) @t400)))
% 2.86/3.08  (step @p514 :rule trans :premises (@p513 @p512))
% 2.86/3.08  (step @p515 :rule beta-reduce :args ((= (_ (lambda @t4 (not (and @t402 @t374))) @t9) @t394)))
% 2.86/3.08  (step @p516 :rule quant-merge-prenex :args ((= @t403 @t402)))
% 2.86/3.08  (step @p517 :rule nary_cong :premises (@p516 @p496) :args ((and @t403 @t374)))
% 2.86/3.08  (step @p518 :rule alpha_equiv :args (@t405 @t155 (@list @t66)))
% 2.86/3.08  (step @p519 :rule nary_cong :premises (@p518 @p499) :args (@t406))
% 2.86/3.08  (step @p520 :rule quant-miniscope-and :args ((= (forall @t55 (and @t404 @t374)) @t406)))
% 2.86/3.08  (step @p521 :rule trans :premises (@p520 @p519))
% 2.86/3.08  (step @p522 :rule trans :premises (@p521 @p517))
% 2.86/3.08  (step @p523 :rule bool-implies-de-morgan :args (@t404 @t373))
% 2.86/3.08  (step @p524 :rule cong :premises (@p523) :args ((forall @t55 (not @t407))))
% 2.86/3.08  (step @p525 :rule trans :premises (@p524 @p522))
% 2.86/3.08  (step @p526 :rule beta-reduce :args ((= @t411 @t407)))
% 2.86/3.08  (step @p527 :rule cong :premises (@p526) :args (@t412))
% 2.86/3.08  (step @p528 :rule cong :premises (@p527) :args (@t413))
% 2.86/3.08  (step @p529 :rule trans :premises (@p528 @p525))
% 2.86/3.08  (step @p530 :rule cong :premises (@p529) :args (@t414))
% 2.86/3.08  (step @p531 :rule cong :premises (@p530) :args (@t415))
% 2.86/3.08  (step @p532 :rule beta-reduce :args ((= (_ @t218 @t410) @t415)))
% 2.86/3.08  (step @p533 :rule trans :premises (@p532 @p531))
% 2.86/3.08  (step @p534 :rule beta-reduce :args ((= (_ (lambda @t4 (=> @t416 @t373)) @t9) @t409)))
% 2.86/3.08  (step @p535 :rule beta-reduce :args ((= @t418 @t373)))
% 2.86/3.08  (step @p536 :rule refl :args (@t416))
% 2.86/3.08  (step @p537 :rule cong :premises (@p536 @p535) :args (@t419))
% 2.86/3.08  (step @p538 :rule cong :premises (@p537) :args (@t420))
% 2.86/3.08  (step @p539 :rule beta-reduce :args ((= (_ (lambda @t225 (=> @t416 @t40)) @t417) @t420)))
% 2.86/3.08  (step @p540 :rule trans :premises (@p539 @p538))
% 2.86/3.08  (step @p541 :rule refl :args (@t372))
% 2.86/3.08  (step @p542 :rule refl :args (@t421))
% 2.86/3.08  (step @p543 :rule cong :premises (@p542 @p541) :args ((= @t421 @t372)))
% 2.86/3.08  (step @p544 :rule symm :premises (@p543))
% 2.86/3.08  (step @p545 :rule eq_resolve :premises (@p542 @p544))
% 2.86/3.08  (step @p546 :rule nary_cong :premises (@p41 @p545) :args (@t422))
% 2.86/3.08  (step @p547 :rule cong :premises (@p546) :args ((forall @t47 @t422)))
% 2.86/3.08  (step @p548 :rule refl :args (@t423))
% 2.86/3.08  (step @p549 :rule nary_cong :premises (@p60 @p548) :args (@t424))
% 2.86/3.08  (step @p550 :rule cong :premises (@p549) :args (@t425))
% 2.86/3.08  (step @p551 :rule trans :premises (@p550 @p547))
% 2.86/3.08  (step @p552 :rule cong :premises (@p551) :args (@t426))
% 2.86/3.08  (step @p553 :rule beta-reduce :args ((= @t427 @t426)))
% 2.86/3.08  (step @p554 :rule trans :premises (@p553 @p552))
% 2.86/3.08  (step @p555 :rule beta-reduce :args ((= @t429 @t416)))
% 2.86/3.08  (step @p556 :rule cong :premises (@p555 @p222) :args (@t430))
% 2.86/3.08  (step @p557 :rule cong :premises (@p556) :args (@t431))
% 2.86/3.08  (step @p558 :rule beta-reduce :args ((= (_ @t44 @t428) @t431)))
% 2.86/3.08  (step @p559 :rule trans :premises (@p558 @p557))
% 2.86/3.08  (step @p560 :rule refl :args (@t392))
% 2.86/3.08  (step @p561 :rule refl :args (@t432))
% 2.86/3.08  (step @p562 :rule cong :premises (@p561 @p560) :args ((= @t432 @t392)))
% 2.86/3.08  (step @p563 :rule symm :premises (@p562))
% 2.86/3.08  (step @p564 :rule eq_resolve :premises (@p561 @p563))
% 2.86/3.08  (step @p565 :rule nary_cong :premises (@p564 @p283) :args (@t433))
% 2.86/3.08  (step @p566 :rule nary_cong :premises (@p41 @p565) :args (@t434))
% 2.86/3.08  (step @p567 :rule cong :premises (@p566) :args ((forall @t47 @t434)))
% 2.86/3.08  (step @p568 :rule beta-reduce :args ((= @t437 @t433)))
% 2.86/3.08  (step @p569 :rule nary_cong :premises (@p60 @p568) :args (@t438))
% 2.86/3.08  (step @p570 :rule cong :premises (@p569) :args (@t439))
% 2.86/3.08  (step @p571 :rule trans :premises (@p570 @p567))
% 2.86/3.08  (step @p572 :rule cong :premises (@p571) :args (@t440))
% 2.86/3.08  (step @p573 :rule beta-reduce :args ((= (_ @t147 @t436) @t440)))
% 2.86/3.08  (step @p574 :rule trans :premises (@p573 @p572))
% 2.86/3.08  (step @p575 :rule beta-reduce :args ((= (_ @t441 @t18) @t436)))
% 2.86/3.08  (step @p576 :rule beta-reduce :args ((= @t442 @t441)))
% 2.86/3.08  (step @p577 :rule ho_cong :premises (@p576 @p351))
% 2.86/3.08  (step @p578 :rule trans :premises (@p577 @p575))
% 2.86/3.08  (step @p579 :rule ho_cong :premises (@p257 @p578))
% 2.86/3.08  (step @p580 :rule trans :premises (@p579 @p574))
% 2.86/3.08  (step @p581 :rule ho_cong :premises (@p252 @p580))
% 2.86/3.08  (step @p582 :rule trans :premises (@p581 @p559))
% 2.86/3.08  (step @p583 :rule ho_cong :premises (@p582 @p554))
% 2.86/3.08  (step @p584 :rule trans :premises (@p583 @p540))
% 2.86/3.08  (step @p585 :rule ho_cong :premises (@p584 @p83))
% 2.86/3.08  (step @p586 :rule trans :premises (@p585 @p534))
% 2.86/3.08  (step @p587 :rule cong :premises (@p586) :args (@t443))
% 2.86/3.08  (step @p588 :rule ho_cong :premises (@p370 @p587))
% 2.86/3.08  (step @p589 :rule trans :premises (@p588 @p533))
% 2.86/3.08  (step @p590 :rule ho_cong :premises (@p589 @p83))
% 2.86/3.08  (step @p591 :rule trans :premises (@p590 @p515))
% 2.86/3.08  (step @p592 :rule cong :premises (@p591) :args (@t444))
% 2.86/3.08  (step @p593 :rule ho_cong :premises (@p370 @p592))
% 2.86/3.08  (step @p594 :rule trans :premises (@p593 @p514))
% 2.86/3.08  (step @p595 :rule ho_cong :premises (@p257 @p594))
% 2.86/3.08  (step @p596 :rule trans :premises (@p595 @p495))
% 2.86/3.08  (step @p597 :rule ho_cong :premises (@p386 @p596))
% 2.86/3.08  (step @p598 :rule trans :premises (@p597 @p459))
% 2.86/3.08  (step @p599 :rule cong :premises (@p598) :args ((not (_ @t35 (_ @t147 (_ @t218 @t444))))))
% 2.86/3.08  (step @p600 :rule refl :args (@t30))
% 2.86/3.08  (step @p601 :rule ho_cong :premises (@p407 @p600))
% 2.86/3.08  (step @p602 :rule refl :args (@t29))
% 2.86/3.08  (step @p603 :rule ho_cong :premises (@p12 @p602))
% 2.86/3.08  (step @p604 :rule ho_cong :premises (@p603 @p351))
% 2.86/3.08  (step @p605 :rule ho_cong :premises (@p407 @p604))
% 2.86/3.08  (step @p606 :rule ho_cong :premises (@p14 @p605))
% 2.86/3.08  (step @p607 :rule ho_cong :premises (@p606 @p601))
% 2.86/3.08  (step @p608 :rule ho_cong :premises (@p607 @p83))
% 2.86/3.08  (step @p609 :rule cong :premises (@p608) :args (@t31))
% 2.86/3.08  (step @p610 :rule ho_cong :premises (@p441 @p609))
% 2.86/3.08  (step @p611 :rule ho_cong :premises (@p610 @p83))
% 2.86/3.08  (step @p612 :rule cong :premises (@p611) :args (@t32))
% 2.86/3.08  (step @p613 :rule ho_cong :premises (@p441 @p612))
% 2.86/3.08  (step @p614 :rule ho_cong :premises (@p407 @p613))
% 2.86/3.08  (step @p615 :rule ho_cong :premises (@p10 @p614))
% 2.86/3.08  (step @p616 :rule cong :premises (@p615) :args (@t33))
% 2.86/3.08  (step @p617 :rule trans :premises (@p616 @p599))
% 2.86/3.08  (step @p618 :rule eq_resolve :premises (@p8 @p617))
% 2.86/3.08  (step @p619 :rule skolemize :premises (@p618))
% 2.86/3.08  (step @p620 :rule bool-double-not-elim :args (@t445))
% 2.86/3.08  (step @p621 :rule refl :args (@t450))
% 2.86/3.08  (step @p622 :rule nary_cong :premises (@p621 @p620) :args ((or @t450 (not @t449))))
% 2.86/3.08  (step @p623 :rule cnf_or_neg :args (@t450 0))
% 2.86/3.08  (step @p624 :rule eq_resolve :premises (@p623 @p622))
% 2.86/3.08  (step @p625 :rule reordering :premises (@p624) :args ((or @t445 @t450)))
% 2.86/3.08  (step @p626 :rule chain_m_resolution :premises (@p625 @p619) :args (@t445 @t451 @t452))
% 2.86/3.08  (step @p627 :rule cnf_or_pos :args (@t460))
% 2.86/3.08  (step @p628 :rule reordering :premises (@p627) :args ((or @t449 @t459 (not @t460))))
% 2.86/3.08  (step @p629 :rule chain_m_resolution :premises (@p628 @p626 @p456) :args (@t459 @t461 (@list @t445 @t460)))
% 2.86/3.08  (step @p630 :rule cnf_and_pos :args (@t459 1))
% 2.86/3.08  (step @p631 :rule reordering :premises (@p630) :args ((or @t458 (not @t459))))
% 2.86/3.08  (step @p632 :rule chain_m_resolution :premises (@p631 @p629) :args (@t458 @t462 (@list @t459)))
% 2.86/3.08  (step @p633 :rule refl :args (@t464))
% 2.86/3.08  (step @p634 :rule bool-double-not-elim :args (@t457))
% 2.86/3.08  (step @p635 :rule nary_cong :premises (@p634 @p633) :args ((or (not @t458) @t464)))
% 2.86/3.08  (step @p636 :rule bool-double-not-elim :args (@t464))
% 2.86/3.08  (step @p637 :rule refl :args (@t458))
% 2.86/3.08  (step @p638 :rule cong :premises (@p637 @p636) :args ((=> @t458 @t465)))
% 2.86/3.08  (assume-push @p780 @t458)
% 2.86/3.08  (step @p640 :rule skolemize :premises (@p632))
% 2.86/3.08  (step-pop @p781 :rule scope :premises (@p640))
% 2.86/3.08  (step @p641 :rule process_scope :premises (@p781) :args (@t465))
% 2.86/3.08  (step @p643 :rule eq_resolve :premises (@p641 @p638))
% 2.86/3.08  (step @p644 :rule implies_elim :premises (@p643))
% 2.86/3.08  (step @p645 :rule eq_resolve :premises (@p644 @p635))
% 2.86/3.08  (step @p646 :rule chain_m_resolution :premises (@p645 @p632) :args (@t464 @t451 (@list @t457)))
% 2.86/3.08  (step @p647 :rule instantiate :premises (@p646) :args ((@list @t75 @t75)))
% 2.86/3.08  (step @p648 :rule bool-double-not-elim :args (@t447))
% 2.86/3.08  (step @p649 :rule nary_cong :premises (@p621 @p648) :args ((or @t450 (not @t448))))
% 2.86/3.08  (step @p650 :rule cnf_or_neg :args (@t450 1))
% 2.86/3.08  (step @p651 :rule eq_resolve :premises (@p650 @p649))
% 2.86/3.08  (step @p652 :rule reordering :premises (@p651) :args ((or @t447 @t450)))
% 2.86/3.08  (step @p653 :rule chain_m_resolution :premises (@p652 @p619) :args (@t447 @t451 @t452))
% 2.86/3.08  (step @p654 :rule instantiate :premises (@p653) :args ((@list @t350 @t350 @t75)))
% 2.86/3.08  (step @p655 :rule cnf_or_pos :args (@t470))
% 2.86/3.08  (step @p656 :rule reordering :premises (@p655) :args ((or @t469 @t467 (not @t470))))
% 2.86/3.08  (step @p657 :rule chain_m_resolution :premises (@p656 @p27 @p654) :args (@t467 @t461 (@list @t468 @t470)))
% 2.86/3.08  (step @p658 :rule cnf_and_pos :args (@t467 0))
% 2.86/3.08  (step @p659 :rule reordering :premises (@p658) :args ((or @t466 (not @t467))))
% 2.86/3.08  (step @p660 :rule chain_m_resolution :premises (@p659 @p657) :args (@t466 @t462 (@list @t467)))
% 2.86/3.08  (step @p661 :rule beta-reduce :args ((= @t477 (forall @t474 (or @t72 @t473 @t472)))))
% 2.86/3.08  (step @p662 :rule beta-reduce :args ((= (_ @t35 @t476) @t477)))
% 2.86/3.08  (step @p663 :rule trans :premises (@p662 @p661))
% 2.86/3.08  (step @p664 :rule aci_norm :args ((= @t479 @t475)))
% 2.86/3.08  (step @p665 :rule cong :premises (@p664) :args (@t480))
% 2.86/3.08  (step @p666 :rule quant-merge-prenex :args ((= (forall @t47 @t482) @t480)))
% 2.86/3.08  (step @p667 :rule alpha_equiv :args (@t483 (@list @t471) @t155))
% 2.86/3.08  (step @p668 :rule nary_cong :premises (@p41 @p667) :args (@t484))
% 2.86/3.08  (step @p669 :rule quant-miniscope-or :args ((= @t482 @t484)))
% 2.86/3.08  (step @p670 :rule trans :premises (@p669 @p668))
% 2.86/3.08  (step @p671 :rule symm :premises (@p670))
% 2.86/3.08  (step @p672 :rule cong :premises (@p671) :args ((forall @t47 (or @t96 @t485))))
% 2.86/3.08  (step @p673 :rule trans :premises (@p672 @p666))
% 2.86/3.08  (step @p674 :rule trans :premises (@p673 @p665))
% 2.86/3.08  (step @p675 :rule beta-reduce :args ((= @t489 @t485)))
% 2.86/3.08  (step @p676 :rule nary_cong :premises (@p60 @p675) :args (@t490))
% 2.86/3.08  (step @p677 :rule cong :premises (@p676) :args (@t491))
% 2.86/3.08  (step @p678 :rule trans :premises (@p677 @p674))
% 2.86/3.08  (step @p679 :rule cong :premises (@p678) :args (@t492))
% 2.86/3.08  (step @p680 :rule beta-reduce :args ((= (_ @t147 @t488) @t492)))
% 2.86/3.08  (step @p681 :rule trans :premises (@p680 @p679))
% 2.86/3.08  (step @p682 :rule refl :args (@t486))
% 2.86/3.08  (step @p683 :rule refl :args (@t493))
% 2.86/3.08  (step @p684 :rule cong :premises (@p683 @p682) :args ((= @t493 @t486)))
% 2.86/3.08  (step @p685 :rule symm :premises (@p684))
% 2.86/3.08  (step @p686 :rule eq_resolve :premises (@p683 @p685))
% 2.86/3.08  (step @p687 :rule cong :premises (@p686) :args (@t494))
% 2.86/3.08  (step @p688 :rule refl :args (@t487))
% 2.86/3.08  (step @p689 :rule refl :args (@t495))
% 2.86/3.08  (step @p690 :rule cong :premises (@p689 @p688) :args ((= @t495 @t487)))
% 2.86/3.08  (step @p691 :rule symm :premises (@p690))
% 2.86/3.08  (step @p692 :rule eq_resolve :premises (@p689 @p691))
% 2.86/3.08  (step @p693 :rule cong :premises (@p692) :args (@t496))
% 2.86/3.08  (step @p694 :rule nary_cong :premises (@p693 @p687) :args (@t497))
% 2.86/3.08  (step @p695 :rule cong :premises (@p694) :args ((forall @t55 @t497)))
% 2.86/3.08  (step @p696 :rule bool-and-de-morgan :args (@t495 @t493 true))
% 2.86/3.08  (step @p697 :rule cong :premises (@p696) :args ((forall @t55 @t498)))
% 2.86/3.08  (step @p698 :rule trans :premises (@p697 @p695))
% 2.86/3.08  (step @p699 :rule beta-reduce :args ((= @t501 @t498)))
% 2.86/3.08  (step @p700 :rule cong :premises (@p699) :args (@t502))
% 2.86/3.08  (step @p701 :rule trans :premises (@p700 @p698))
% 2.86/3.08  (step @p702 :rule cong :premises (@p701) :args (@t503))
% 2.86/3.08  (step @p703 :rule beta-reduce :args ((= (_ @t173 @t500) @t503)))
% 2.86/3.08  (step @p704 :rule trans :premises (@p703 @p702))
% 2.86/3.08  (step @p705 :rule beta-reduce :args ((= (_ (lambda @t4 (not @t505)) @t9) @t499)))
% 2.86/3.08  (step @p706 :rule beta-reduce :args ((= @t507 @t505)))
% 2.86/3.08  (step @p707 :rule cong :premises (@p706) :args (@t508))
% 2.86/3.08  (step @p708 :rule cong :premises (@p707) :args (@t509))
% 2.86/3.08  (step @p709 :rule beta-reduce :args ((= (_ @t38 @t506) @t509)))
% 2.86/3.08  (step @p710 :rule trans :premises (@p709 @p708))
% 2.86/3.08  (step @p711 :rule beta-reduce :args ((= (_ @t510 @t11) @t506)))
% 2.86/3.08  (step @p712 :rule beta-reduce :args ((= @t511 @t510)))
% 2.86/3.08  (step @p713 :rule ho_cong :premises (@p712 @p389))
% 2.86/3.08  (step @p714 :rule trans :premises (@p713 @p711))
% 2.86/3.08  (step @p715 :rule refl :args (@t38))
% 2.86/3.08  (step @p716 :rule ho_cong :premises (@p715 @p714))
% 2.86/3.08  (step @p717 :rule trans :premises (@p716 @p710))
% 2.86/3.08  (step @p718 :rule ho_cong :premises (@p717 @p83))
% 2.86/3.08  (step @p719 :rule trans :premises (@p718 @p705))
% 2.86/3.08  (step @p720 :rule cong :premises (@p719) :args ((lambda @t23 (_ (_ @t38 (_ @t511 @t11)) @t9))))
% 2.86/3.08  (step @p721 :rule ho_cong :premises (@p376 @p720))
% 2.86/3.08  (step @p722 :rule trans :premises (@p721 @p704))
% 2.86/3.08  (step @p723 :rule ho_cong :premises (@p257 @p722))
% 2.86/3.08  (step @p724 :rule trans :premises (@p723 @p681))
% 2.86/3.08  (step @p725 :rule ho_cong :premises (@p386 @p724))
% 2.86/3.08  (step @p726 :rule trans :premises (@p725 @p663))
% 2.86/3.08  (step @p727 :rule ho_cong :premises (@p12 @p418))
% 2.86/3.08  (step @p728 :rule ho_cong :premises (@p727 @p389))
% 2.86/3.08  (step @p729 :rule ho_cong :premises (@p11 @p728))
% 2.86/3.08  (step @p730 :rule ho_cong :premises (@p729 @p83))
% 2.86/3.08  (step @p731 :rule cong :premises (@p730) :args (@t28))
% 2.86/3.08  (step @p732 :rule ho_cong :premises (@p447 @p731))
% 2.86/3.08  (step @p733 :rule ho_cong :premises (@p407 @p732))
% 2.86/3.08  (step @p734 :rule ho_cong :premises (@p10 @p733))
% 2.86/3.08  (step @p735 :rule trans :premises (@p734 @p726))
% 2.86/3.08  (step @p736 :rule eq_resolve :premises (@p6 @p735))
% 2.86/3.08  (step @p737 :rule instantiate :premises (@p736) :args ((@list @t75 tptp.d)))
% 2.86/3.08  (step @p738 :rule beta-reduce :args ((= @t514 (forall @t47 (or @t72 @t512)))))
% 2.86/3.08  (step @p739 :rule beta-reduce :args ((= (_ @t35 @t513) @t514)))
% 2.86/3.08  (step @p740 :rule trans :premises (@p739 @p738))
% 2.86/3.08  (step @p741 :rule refl :args (@t512))
% 2.86/3.08  (step @p742 :rule refl :args (@t515))
% 2.86/3.08  (step @p743 :rule cong :premises (@p742 @p741) :args ((= @t515 @t512)))
% 2.86/3.08  (step @p744 :rule symm :premises (@p743))
% 2.86/3.08  (step @p745 :rule eq_resolve :premises (@p742 @p744))
% 2.86/3.08  (step @p746 :rule nary_cong :premises (@p41 @p745) :args (@t516))
% 2.86/3.08  (step @p747 :rule cong :premises (@p746) :args ((forall @t47 @t516)))
% 2.86/3.08  (step @p748 :rule refl :args (@t517))
% 2.86/3.08  (step @p749 :rule nary_cong :premises (@p60 @p748) :args (@t518))
% 2.86/3.08  (step @p750 :rule cong :premises (@p749) :args (@t519))
% 2.86/3.08  (step @p751 :rule trans :premises (@p750 @p747))
% 2.86/3.08  (step @p752 :rule cong :premises (@p751) :args (@t520))
% 2.86/3.08  (step @p753 :rule beta-reduce :args ((= (_ @t147 @t25) @t520)))
% 2.86/3.08  (step @p754 :rule trans :premises (@p753 @p752))
% 2.86/3.08  (step @p755 :rule ho_cong :premises (@p386 @p754))
% 2.86/3.08  (step @p756 :rule trans :premises (@p755 @p740))
% 2.86/3.08  (step @p757 :rule refl :args (@t25))
% 2.86/3.08  (step @p758 :rule ho_cong :premises (@p407 @p757))
% 2.86/3.08  (step @p759 :rule ho_cong :premises (@p10 @p758))
% 2.86/3.08  (step @p760 :rule trans :premises (@p759 @p756))
% 2.86/3.08  (step @p761 :rule eq_resolve :premises (@p4 @p760))
% 2.86/3.08  (step @p762 :rule instantiate :premises (@p761) :args (@t76))
% 2.86/3.08  (step @p763 :rule cnf_or_pos :args (@t522))
% 2.86/3.08  (step @p764 :rule reordering :premises (@p763) :args ((or @t449 @t521 (not @t522))))
% 2.86/3.08  (step @p765 :rule chain_m_resolution :premises (@p764 @p626 @p762) :args (@t521 @t461 (@list @t445 @t522)))
% 2.86/3.08  (step @p766 :rule cnf_or_pos :args (@t526))
% 2.86/3.08  (step @p767 :rule reordering :premises (@p766) :args ((or @t449 @t523 @t525 (not @t526))))
% 2.86/3.08  (step @p768 :rule chain_m_resolution :premises (@p767 @p626 @p765 @p737) :args (@t525 (@list false false false) (@list @t445 @t521 @t526)))
% 2.86/3.08  (step @p769 :rule cnf_or_pos :args (@t530))
% 2.86/3.08  (step @p770 :rule factoring :premises (@p769))
% 2.86/3.08  (step @p771 :rule reordering :premises (@p770) :args ((or @t523 @t524 @t469 @t529 @t528 (not @t530))))
% 2.86/3.08  (step @p772 :rule chain_m_resolution :premises (@p771 @p765 @p768 @p27 @p660 @p647) :args (@t528 (@list false true false false false) (@list @t521 @t524 @t468 @t466 @t530)))
% 2.86/3.08  (step @p773 :rule cnf_and_pos :args (@t531 1))
% 2.86/3.08  (step @p774 :rule reordering :premises (@p773) :args ((or @t527 @t532)))
% 2.86/3.08  (step @p775 :rule chain_m_resolution :premises (@p774 @p772) :args (@t532 @t451 (@list @t527)))
% 2.86/3.08  (step @p776 :rule instantiate :premises (@p653) :args ((@list tptp.d @t463 @t75)))
% 2.86/3.08  (step @p777 :rule cnf_or_pos :args (@t533))
% 2.86/3.08  (step @p778 :rule reordering :premises (@p777) :args ((or @t469 @t531 (not @t533))))
% 2.86/3.08  (step @p779 false :rule chain_m_resolution :premises (@p778 @p776 @p775 @p27) :args (false (@list false true false) (@list @t533 @t531 @t468)))
% 2.86/3.08  )
% 2.86/3.08  % SZS output end Proof
% 2.86/3.08  % cvc5 exiting
%------------------------------------------------------------------------------