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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO067^4.001 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n023.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 09:11:56 AM UTC 2026

% Result   : Theorem 0.46s 0.66s
% Output   : Proof 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO067^4.001 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n023.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 23:54:28 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.28/0.51  %----Proving TH0
% 0.46/0.66  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.46/0.66  % SZS status Theorem
% 0.46/0.66  % SZS output start Proof
% 0.46/0.66  (
% 0.46/0.66  (declare-sort $$unsorted 0)
% 0.46/0.66  (declare-const tptp.irel (-> $$unsorted $$unsorted Bool))
% 0.46/0.66  (declare-const tptp.p1 (-> $$unsorted Bool))
% 0.46/0.66  (declare-const tptp.f (-> $$unsorted Bool))
% 0.46/0.66  (declare-const tptp.ifalse (-> $$unsorted Bool))
% 0.46/0.66  (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1))))))
% 0.46/0.66  (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 0.46/0.66  (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 0.46/0.66  (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1))))))
% 0.46/0.66  (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1))))))))
% 0.46/0.66  (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1)))))
% 0.46/0.66  (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1)))))
% 0.46/0.66  (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true))
% 0.46/0.66  (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1))))))
% 0.46/0.66  (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1))))))
% 0.46/0.66  (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1))))))
% 0.46/0.66  (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1))))))
% 0.46/0.66  (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1))))))
% 0.46/0.66  (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1))))))
% 0.46/0.66  (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1))))))
% 0.46/0.66  (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1))))))
% 0.46/0.66  (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1)))))))
% 0.46/0.66  (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1)))))))
% 0.46/0.66  (define @t1 () (@var "X" $$unsorted))
% 0.46/0.66  (define @t2 () (_ tptp.irel @t1))
% 0.46/0.66  (define @t3 () (_ @t2 @t1))
% 0.46/0.66  (define @t4 () (@list @t1))
% 0.46/0.66  (define @t5 () (forall @t4 @t3))
% 0.46/0.66  (define @t6 () (@var "Z" $$unsorted))
% 0.46/0.66  (define @t7 () (_ @t2 @t6))
% 0.46/0.66  (define @t8 () (@var "Y" $$unsorted))
% 0.46/0.66  (define @t9 () (_ (_ tptp.irel @t8) @t6))
% 0.46/0.66  (define @t10 () (_ @t2 @t8))
% 0.46/0.66  (define @t11 () (and @t10 @t9))
% 0.46/0.66  (define @t12 () (@list @t1 @t8 @t6))
% 0.46/0.66  (define @t13 () (forall @t12 (=> @t11 @t7)))
% 0.46/0.66  (define @t14 () (_ tptp.iatom tptp.f))
% 0.46/0.66  (define @t15 () (_ tptp.iatom tptp.p1))
% 0.46/0.66  (define @t16 () (not (_ tptp.ivalid @t14)))
% 0.46/0.66  (define @t17 () (@var "U" $$unsorted))
% 0.46/0.66  (define @t18 () (@var "X" (-> $$unsorted Bool)))
% 0.46/0.66  (define @t19 () (_ @t18 @t17))
% 0.46/0.66  (define @t20 () (lambda (@list @t18 @t17) (not @t19)))
% 0.46/0.66  (define @t21 () (@var "Y" (-> $$unsorted Bool)))
% 0.46/0.66  (define @t22 () (_ @t21 @t17))
% 0.46/0.66  (define @t23 () (@list @t18 @t21 @t17))
% 0.46/0.66  (define @t24 () (lambda @t23 (or @t19 @t22)))
% 0.46/0.66  (define @t25 () (lambda @t23 (and @t19 @t22)))
% 0.46/0.66  (define @t26 () (@var "__flatten_var_0" $$unsorted))
% 0.46/0.66  (define @t27 () (@var "V" (-> $$unsorted Bool)))
% 0.46/0.66  (define @t28 () (@var "U" (-> $$unsorted Bool)))
% 0.46/0.66  (define @t29 () (@list @t28 @t27 @t26))
% 0.46/0.66  (define @t30 () (lambda @t29 (_ (_ (_ tptp.mor (_ tptp.mnot @t28)) @t27) @t26)))
% 0.46/0.66  (define @t31 () (@var "P" (-> $$unsorted Bool)))
% 0.46/0.66  (define @t32 () (_ @t31 @t8))
% 0.46/0.66  (define @t33 () (@list @t8))
% 0.46/0.66  (define @t34 () (forall @t33 (=> @t10 @t32)))
% 0.46/0.66  (define @t35 () (@list @t31 @t1))
% 0.46/0.66  (define @t36 () (lambda @t35 @t34))
% 0.46/0.66  (define @t37 () (@list @t31 @t26))
% 0.46/0.66  (define @t38 () (lambda @t37 (_ @t31 @t26)))
% 0.46/0.66  (define @t39 () (_ tptp.mbox_s4 @t31))
% 0.46/0.66  (define @t40 () (lambda @t37 (_ (_ tptp.mnot @t39) @t26)))
% 0.46/0.66  (define @t41 () (@var "W" $$unsorted))
% 0.46/0.66  (define @t42 () (@list @t41))
% 0.46/0.66  (define @t43 () (lambda @t42 true))
% 0.46/0.66  (define @t44 () (@var "Q" (-> $$unsorted Bool)))
% 0.46/0.66  (define @t45 () (@list @t31 @t44 @t26))
% 0.46/0.66  (define @t46 () (lambda @t45 (_ (_ (_ tptp.mand @t31) @t44) @t26)))
% 0.46/0.66  (define @t47 () (_ tptp.mbox_s4 @t44))
% 0.46/0.66  (define @t48 () (lambda @t45 (_ (_ (_ tptp.mor @t39) @t47) @t26)))
% 0.46/0.66  (define @t49 () (lambda @t45 (_ (_ (_ tptp.mimplies @t39) @t47) @t26)))
% 0.46/0.66  (define @t50 () (_ (_ tptp.iimplies @t44) @t31))
% 0.46/0.66  (define @t51 () (lambda @t45 (_ @t50 @t26)))
% 0.46/0.66  (define @t52 () (lambda @t45 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t31) @t44)) @t50) @t26)))
% 0.46/0.66  (define @t53 () (lambda @t45 (_ (_ tptp.inot (_ (_ tptp.iequiv @t31) @t44)) @t26)))
% 0.46/0.66  (define @t54 () (@var "Phi" (-> $$unsorted Bool)))
% 0.46/0.66  (define @t55 () (_ @t54 @t41))
% 0.46/0.66  (define @t56 () (forall @t42 @t55))
% 0.46/0.66  (define @t57 () (@list @t54))
% 0.46/0.66  (define @t58 () (lambda @t57 @t56))
% 0.46/0.66  (define @t59 () (lambda @t57 (exists @t42 @t55)))
% 0.46/0.66  (define @t60 () (not @t55))
% 0.46/0.66  (define @t61 () (lambda @t57 (exists @t42 @t60)))
% 0.46/0.66  (define @t62 () (lambda @t57 (forall @t42 @t60)))
% 0.46/0.66  (define @t63 () (tptp.irel @t1 @t6))
% 0.46/0.66  (define @t64 () (tptp.irel @t8 @t6))
% 0.46/0.66  (define @t65 () (not @t9))
% 0.46/0.66  (define @t66 () (tptp.irel @t1 @t8))
% 0.46/0.66  (define @t67 () (not @t10))
% 0.46/0.66  (define @t68 () (or @t67 @t65 @t7))
% 0.46/0.66  (define @t69 () (@var "BOUND_VARIABLE_8208" $$unsorted))
% 0.46/0.66  (define @t70 () (tptp.f @t69))
% 0.46/0.66  (define @t71 () (not (tptp.irel @t41 @t69)))
% 0.46/0.66  (define @t72 () (@var "BOUND_VARIABLE_8169" $$unsorted))
% 0.46/0.66  (define @t73 () (tptp.f @t72))
% 0.46/0.66  (define @t74 () (@var "BOUND_VARIABLE_8167" $$unsorted))
% 0.46/0.66  (define @t75 () (not (tptp.irel @t74 @t72)))
% 0.46/0.66  (define @t76 () (@var "BOUND_VARIABLE_8079" $$unsorted))
% 0.46/0.66  (define @t77 () (tptp.p1 @t76))
% 0.46/0.66  (define @t78 () (@list @t76))
% 0.46/0.66  (define @t79 () (not (forall @t78 (or (not (tptp.irel @t74 @t76)) @t77))))
% 0.46/0.66  (define @t80 () (not (tptp.irel @t8 @t74)))
% 0.46/0.66  (define @t81 () (@var "BOUND_VARIABLE_8161" $$unsorted))
% 0.46/0.66  (define @t82 () (tptp.p1 @t81))
% 0.46/0.66  (define @t83 () (not (tptp.irel @t8 @t81)))
% 0.46/0.66  (define @t84 () (not (tptp.irel @t41 @t8)))
% 0.46/0.66  (define @t85 () (@list @t8 @t81 @t74 @t72))
% 0.46/0.66  (define @t86 () (not (forall @t85 (or @t84 @t83 @t82 @t80 @t79 @t75 @t73))))
% 0.46/0.66  (define @t87 () (or @t71 @t70))
% 0.46/0.66  (define @t88 () (or @t86 @t87))
% 0.46/0.66  (define @t89 () (forall (@list @t41 @t69) @t88))
% 0.46/0.66  (define @t90 () (@list @t69))
% 0.46/0.66  (define @t91 () (forall @t90 @t88))
% 0.46/0.66  (define @t92 () (forall @t90 @t87))
% 0.46/0.66  (define @t93 () (@list @t8))
% 0.46/0.66  (define @t94 () (or @t86 @t92))
% 0.46/0.66  (define @t95 () (tptp.f @t8))
% 0.46/0.66  (define @t96 () (or @t86 (forall @t33 (or @t84 @t95))))
% 0.46/0.66  (define @t97 () (not (tptp.irel @t26 @t8)))
% 0.46/0.66  (define @t98 () (forall @t33 (or @t97 @t95)))
% 0.46/0.66  (define @t99 () (or @t97 @t83 @t82 @t80 @t79 @t75 @t73))
% 0.46/0.66  (define @t100 () (not (forall @t85 @t99)))
% 0.46/0.66  (define @t101 () (@list @t26))
% 0.46/0.66  (define @t102 () (lambda @t101 (or @t100 @t98)))
% 0.46/0.66  (define @t103 () (_ @t102 @t41))
% 0.46/0.66  (define @t104 () (forall @t42 @t103))
% 0.46/0.66  (define @t105 () (_ @t54 @t41))
% 0.46/0.66  (define @t106 () (lambda @t57 (forall @t42 @t105)))
% 0.46/0.66  (define @t107 () (_ tptp.f @t8))
% 0.46/0.66  (define @t108 () (or @t97 @t107))
% 0.46/0.66  (define @t109 () (lambda @t101 (_ tptp.f @t26)))
% 0.46/0.66  (define @t110 () (_ @t109 @t8))
% 0.46/0.66  (define @t111 () (or @t97 @t110))
% 0.46/0.66  (define @t112 () (forall @t33 @t111))
% 0.46/0.66  (define @t113 () (or @t100 @t112))
% 0.46/0.66  (define @t114 () (lambda @t101 @t113))
% 0.46/0.66  (define @t115 () (_ @t44 @t8))
% 0.46/0.66  (define @t116 () (forall @t33 (or @t97 @t115)))
% 0.46/0.66  (define @t117 () (@list @t44 @t26))
% 0.46/0.66  (define @t118 () (_ @t38 tptp.f))
% 0.46/0.66  (define @t119 () (or @t80 @t79 @t75 @t73))
% 0.46/0.66  (define @t120 () (or @t83 @t82))
% 0.46/0.66  (define @t121 () (or @t97 @t120 @t119))
% 0.46/0.66  (define @t122 () (forall @t85 @t121))
% 0.46/0.66  (define @t123 () (forall (@list @t81 @t74 @t72) @t121))
% 0.46/0.66  (define @t124 () (forall (@list @t74 @t72) @t119))
% 0.46/0.66  (define @t125 () (@var "BOUND_VARIABLE_8104" $$unsorted))
% 0.46/0.66  (define @t126 () (@var "BOUND_VARIABLE_8124" $$unsorted))
% 0.46/0.66  (define @t127 () (forall (@list @t81) @t120))
% 0.46/0.66  (define @t128 () (@var "BOUND_VARIABLE_8138" $$unsorted))
% 0.46/0.66  (define @t129 () (@list @t128))
% 0.46/0.66  (define @t130 () (or @t97 @t127 @t124))
% 0.46/0.66  (define @t131 () (tptp.f @t125))
% 0.46/0.66  (define @t132 () (not (tptp.irel @t126 @t125)))
% 0.46/0.66  (define @t133 () (not (forall @t78 (or (not (tptp.irel @t126 @t76)) @t77))))
% 0.46/0.66  (define @t134 () (@list @t126 @t125))
% 0.46/0.66  (define @t135 () (forall @t134 (or (not (tptp.irel @t8 @t126)) @t133 @t132 @t131)))
% 0.46/0.66  (define @t136 () (tptp.p1 @t128))
% 0.46/0.66  (define @t137 () (@list @t128))
% 0.46/0.66  (define @t138 () (forall @t137 (or (not (tptp.irel @t8 @t128)) @t136)))
% 0.46/0.66  (define @t139 () (or @t97 @t138 @t135))
% 0.46/0.66  (define @t140 () (or @t138 @t135))
% 0.46/0.66  (define @t141 () (not (tptp.irel @t8 @t125)))
% 0.46/0.66  (define @t142 () (not (forall @t78 (or (not (tptp.irel @t8 @t76)) @t77))))
% 0.46/0.66  (define @t143 () (or @t97 @t142 @t141 @t131))
% 0.46/0.66  (define @t144 () (@list @t8 @t125))
% 0.46/0.66  (define @t145 () (forall @t144 @t143))
% 0.46/0.66  (define @t146 () (tptp.p1 @t8))
% 0.46/0.66  (define @t147 () (forall @t33 (or @t97 @t146)))
% 0.46/0.66  (define @t148 () (or @t147 @t145))
% 0.46/0.66  (define @t149 () (lambda @t101 @t148))
% 0.46/0.66  (define @t150 () (or @t97 (_ @t149 @t8)))
% 0.46/0.66  (define @t151 () (forall @t33 @t150))
% 0.46/0.66  (define @t152 () (not @t151))
% 0.46/0.66  (define @t153 () (or @t152 @t116))
% 0.46/0.66  (define @t154 () (lambda @t117 @t153))
% 0.46/0.66  (define @t155 () (_ @t31 @t8))
% 0.46/0.66  (define @t156 () (forall @t33 (or @t97 @t155)))
% 0.46/0.66  (define @t157 () (not @t156))
% 0.46/0.66  (define @t158 () (or @t157 @t116))
% 0.46/0.66  (define @t159 () (lambda @t45 @t158))
% 0.46/0.66  (define @t160 () (or @t141 @t131))
% 0.46/0.66  (define @t161 () (or @t97 @t142 @t160))
% 0.46/0.66  (define @t162 () (forall @t144 @t161))
% 0.46/0.66  (define @t163 () (@list @t125))
% 0.46/0.66  (define @t164 () (forall @t163 @t161))
% 0.46/0.66  (define @t165 () (forall @t163 @t160))
% 0.46/0.66  (define @t166 () (@var "BOUND_VARIABLE_8071" $$unsorted))
% 0.46/0.66  (define @t167 () (@list @t166))
% 0.46/0.66  (define @t168 () (or @t97 @t142 @t165))
% 0.46/0.66  (define @t169 () (tptp.f @t166))
% 0.46/0.66  (define @t170 () (@list @t166))
% 0.46/0.66  (define @t171 () (forall @t170 (or (not (tptp.irel @t8 @t166)) @t169)))
% 0.46/0.66  (define @t172 () (or @t97 @t142 @t171))
% 0.46/0.66  (define @t173 () (or @t142 @t171))
% 0.46/0.66  (define @t174 () (not @t147))
% 0.46/0.66  (define @t175 () (or @t174 @t98))
% 0.46/0.66  (define @t176 () (lambda @t101 @t175))
% 0.46/0.66  (define @t177 () (or @t97 (_ @t176 @t8)))
% 0.46/0.66  (define @t178 () (forall @t33 @t177))
% 0.46/0.66  (define @t179 () (or @t147 @t178))
% 0.46/0.66  (define @t180 () (lambda @t101 @t179))
% 0.46/0.66  (define @t181 () (or @t174 @t112))
% 0.46/0.66  (define @t182 () (lambda @t101 @t181))
% 0.46/0.66  (define @t183 () (_ tptp.p1 @t8))
% 0.46/0.66  (define @t184 () (or @t97 @t183))
% 0.46/0.66  (define @t185 () (lambda @t101 (_ tptp.p1 @t26)))
% 0.46/0.66  (define @t186 () (_ @t185 @t8))
% 0.46/0.66  (define @t187 () (or @t97 @t186))
% 0.46/0.66  (define @t188 () (forall @t33 @t187))
% 0.46/0.66  (define @t189 () (not @t188))
% 0.46/0.66  (define @t190 () (or @t189 @t116))
% 0.46/0.66  (define @t191 () (lambda @t117 @t190))
% 0.46/0.66  (define @t192 () (or @t188 @t116))
% 0.46/0.66  (define @t193 () (lambda @t117 @t192))
% 0.46/0.66  (define @t194 () (or @t156 @t116))
% 0.46/0.66  (define @t195 () (lambda @t45 @t194))
% 0.46/0.66  (define @t196 () (not @t66))
% 0.46/0.66  (define @t197 () (lambda @t4 (forall @t33 (or @t196 @t115))))
% 0.46/0.66  (define @t198 () (_ @t197 @t26))
% 0.46/0.66  (define @t199 () (or @t157 @t198))
% 0.46/0.66  (define @t200 () (lambda @t101 @t199))
% 0.46/0.66  (define @t201 () (_ @t27 @t26))
% 0.46/0.66  (define @t202 () (@list @t27 @t26))
% 0.46/0.66  (define @t203 () (forall @t33 (or @t196 @t155)))
% 0.46/0.66  (define @t204 () (lambda @t35 @t203))
% 0.46/0.66  (define @t205 () (lambda @t4 @t203))
% 0.46/0.66  (define @t206 () (_ @t205 @t26))
% 0.46/0.66  (define @t207 () (not @t206))
% 0.46/0.66  (define @t208 () (or @t207 @t201))
% 0.46/0.66  (define @t209 () (lambda @t202 @t208))
% 0.46/0.66  (define @t210 () (or (not (_ @t28 @t26)) @t201))
% 0.46/0.66  (define @t211 () (lambda @t29 @t210))
% 0.46/0.66  (define @t212 () (or @t67 @t32))
% 0.46/0.66  (define @t213 () (not (_ @t28 @t17)))
% 0.46/0.66  (define @t214 () (@list @t17))
% 0.46/0.66  (define @t215 () (lambda @t214 (or @t213 (_ @t27 @t17))))
% 0.46/0.66  (define @t216 () (@list @t21 @t17))
% 0.46/0.66  (define @t217 () (lambda @t214 @t213))
% 0.46/0.66  (define @t218 () (_ @t217 @t17))
% 0.46/0.66  (define @t219 () (or @t218 @t22))
% 0.46/0.66  (define @t220 () (lambda @t216 @t219))
% 0.46/0.66  (define @t221 () (not (tptp.irel @t17 @t8)))
% 0.46/0.66  (define @t222 () (forall @t33 (or @t221 @t115)))
% 0.46/0.66  (define @t223 () (forall @t33 (or @t221 @t155)))
% 0.46/0.66  (define @t224 () (_ @t197 @t17))
% 0.46/0.66  (define @t225 () (or @t223 @t224))
% 0.46/0.66  (define @t226 () (lambda @t214 @t225))
% 0.46/0.66  (define @t227 () (_ @t205 @t17))
% 0.46/0.66  (define @t228 () (or @t227 @t22))
% 0.46/0.66  (define @t229 () (lambda @t216 @t228))
% 0.46/0.66  (define @t230 () (tptp.f @t41))
% 0.46/0.66  (define @t231 () (@quantifiers_skolemize (forall @t42 @t230) 0))
% 0.46/0.66  (define @t232 () (tptp.irel @t1 @t1))
% 0.46/0.66  (define @t233 () (_ tptp.f @t41))
% 0.46/0.66  (define @t234 () (_ @t109 @t41))
% 0.46/0.66  (define @t235 () (forall @t42 @t234))
% 0.46/0.66  (define @t236 () (tptp.f @t231))
% 0.46/0.66  (define @t237 () (tptp.irel @t231 @t231))
% 0.46/0.66  (define @t238 () (not @t237))
% 0.46/0.66  (define @t239 () (forall @t85 (or (not (tptp.irel @t231 @t8)) @t83 @t82 @t80 @t79 @t75 @t73)))
% 0.46/0.66  (define @t240 () (not @t239))
% 0.46/0.66  (define @t241 () (or @t240 @t238 @t236))
% 0.46/0.66  (define @t242 () (@quantifiers_skolemize @t239 2))
% 0.46/0.66  (define @t243 () (forall @t78 (or (not (tptp.irel @t242 @t76)) @t77)))
% 0.46/0.66  (define @t244 () (@quantifiers_skolemize @t239 3))
% 0.46/0.66  (define @t245 () (tptp.f @t244))
% 0.46/0.66  (define @t246 () (tptp.irel @t242 @t244))
% 0.46/0.66  (define @t247 () (not @t246))
% 0.46/0.66  (define @t248 () (not @t243))
% 0.46/0.66  (define @t249 () (@quantifiers_skolemize @t239 0))
% 0.46/0.66  (define @t250 () (@quantifiers_skolemize @t239 1))
% 0.46/0.66  (define @t251 () (or (not (tptp.irel @t231 @t249)) (not (tptp.irel @t249 @t250)) (tptp.p1 @t250) (not (tptp.irel @t249 @t242)) @t248 @t247 @t245))
% 0.46/0.66  (define @t252 () (@list true))
% 0.46/0.66  (define @t253 () (@list @t251))
% 0.46/0.66  (define @t254 () (forall @t85 (or (not (tptp.irel @t242 @t8)) @t83 @t82 @t80 @t79 @t75 @t73)))
% 0.46/0.66  (define @t255 () (@quantifiers_skolemize @t254 1))
% 0.46/0.66  (define @t256 () (not @t254))
% 0.46/0.66  (define @t257 () (or @t256 @t247 @t245))
% 0.46/0.66  (define @t258 () (@quantifiers_skolemize @t254 3))
% 0.46/0.66  (define @t259 () (@quantifiers_skolemize @t254 2))
% 0.46/0.66  (define @t260 () (@quantifiers_skolemize @t254 0))
% 0.46/0.66  (define @t261 () (tptp.p1 @t255))
% 0.46/0.66  (define @t262 () (tptp.irel @t260 @t255))
% 0.46/0.66  (define @t263 () (not @t262))
% 0.46/0.66  (define @t264 () (tptp.irel @t242 @t260))
% 0.46/0.66  (define @t265 () (not @t264))
% 0.46/0.66  (define @t266 () (or @t265 @t263 @t261 (not (tptp.irel @t260 @t259)) (not (forall @t78 (or (not (tptp.irel @t259 @t76)) @t77))) (not (tptp.irel @t259 @t258)) (tptp.f @t258)))
% 0.46/0.66  (define @t267 () (@list @t266))
% 0.46/0.66  (define @t268 () (tptp.irel @t242 @t255))
% 0.46/0.66  (define @t269 () (not @t268))
% 0.46/0.66  (define @t270 () (or @t269 @t261))
% 0.46/0.66  (define @t271 () (@list true false))
% 0.46/0.66  (define @t272 () (or @t265 @t263 @t268))
% 0.46/0.66  (define @t273 () (not @t272))
% 0.46/0.66  (define @t274 () (forall @t12 (or @t196 (not @t64) @t63)))
% 0.46/0.66  (assume @p1 @t5)
% 0.46/0.66  (assume @p2 @t13)
% 0.46/0.66  (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue)))
% 0.46/0.66  (assume @p4 (_ tptp.ivalid (_ (_ tptp.iimplies (_ (_ tptp.ior @t15) (_ (_ tptp.iimplies @t15) @t14))) @t14)))
% 0.46/0.66  (assume @p5 @t16)
% 0.46/0.66  (assume @p6 true)
% 0.46/0.66  (step @p7 (= tptp.mnot @t20) :rule refl :args (@t20))
% 0.46/0.66  (step @p8 (= tptp.mor @t24) :rule refl :args (@t24))
% 0.46/0.66  (step @p9 (= tptp.mand @t25) :rule refl :args (@t25))
% 0.46/0.66  (step @p10 (= tptp.mimplies @t30) :rule refl :args (@t30))
% 0.46/0.66  (step @p11 (= tptp.mbox_s4 @t36) :rule refl :args (@t36))
% 0.46/0.66  (step @p12 (= tptp.iatom @t38) :rule refl :args (@t38))
% 0.46/0.66  (step @p13 (= tptp.inot @t40) :rule refl :args (@t40))
% 0.46/0.66  (step @p14 (= tptp.itrue @t43) :rule refl :args (@t43))
% 0.46/0.66  (step @p15 (= tptp.iand @t46) :rule refl :args (@t46))
% 0.46/0.66  (step @p16 (= tptp.ior @t48) :rule refl :args (@t48))
% 0.46/0.66  (step @p17 (= tptp.iimplies @t49) :rule refl :args (@t49))
% 0.46/0.66  (step @p18 (= tptp.iimplied @t51) :rule refl :args (@t51))
% 0.46/0.66  (step @p19 (= tptp.iequiv @t52) :rule refl :args (@t52))
% 0.46/0.66  (step @p20 (= tptp.ixor @t53) :rule refl :args (@t53))
% 0.46/0.66  (step @p21 (= tptp.ivalid @t58) :rule refl :args (@t58))
% 0.46/0.66  (step @p22 (= tptp.isatisfiable @t59) :rule refl :args (@t59))
% 0.46/0.66  (step @p23 (= tptp.icountersatisfiable @t61) :rule refl :args (@t61))
% 0.46/0.66  (step @p24 (= tptp.iinvalid @t62) :rule refl :args (@t62))
% 0.46/0.66  (step @p25 :rule refl :args (@t63))
% 0.46/0.66  (step @p26 :rule refl :args (@t7))
% 0.46/0.66  (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t7 @t63)))
% 0.46/0.66  (step @p28 :rule symm :premises (@p27))
% 0.46/0.66  (step @p29 :rule eq_resolve :premises (@p26 @p28))
% 0.46/0.66  (step @p30 :rule refl :args (@t64))
% 0.46/0.66  (step @p31 :rule refl :args (@t9))
% 0.46/0.66  (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t9 @t64)))
% 0.46/0.66  (step @p33 :rule symm :premises (@p32))
% 0.46/0.66  (step @p34 :rule eq_resolve :premises (@p31 @p33))
% 0.46/0.66  (step @p35 :rule cong :premises (@p34) :args (@t65))
% 0.46/0.66  (step @p36 :rule refl :args (@t66))
% 0.46/0.66  (step @p37 :rule refl :args (@t10))
% 0.46/0.66  (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t10 @t66)))
% 0.46/0.66  (step @p39 :rule symm :premises (@p38))
% 0.46/0.66  (step @p40 :rule eq_resolve :premises (@p37 @p39))
% 0.46/0.66  (step @p41 :rule cong :premises (@p40) :args (@t67))
% 0.46/0.66  (step @p42 :rule nary_cong :premises (@p41 @p35 @p29) :args (@t68))
% 0.46/0.66  (step @p43 :rule cong :premises (@p42) :args ((forall @t12 @t68)))
% 0.46/0.66  (step @p44 :rule aci_norm :args ((= (or (or @t67 @t65) @t7) @t68)))
% 0.46/0.66  (step @p45 :rule bool-and-de-morgan :args (@t10 @t9 true))
% 0.46/0.66  (step @p46 :rule nary_cong :premises (@p45 @p26) :args ((or (not @t11) @t7)))
% 0.46/0.66  (step @p47 :rule trans :premises (@p46 @p44))
% 0.46/0.66  (step @p48 :rule bool-impl-elim :args (@t11 @t7))
% 0.46/0.66  (step @p49 :rule trans :premises (@p48 @p47))
% 0.46/0.66  (step @p50 :rule cong :premises (@p49) :args (@t13))
% 0.46/0.66  (step @p51 :rule trans :premises (@p50 @p43))
% 0.46/0.66  (step @p52 :rule eq_resolve :premises (@p2 @p51))
% 0.46/0.66  (step @p53 :rule aci_norm :args ((= @t88 (or @t86 @t71 @t70))))
% 0.46/0.66  (step @p54 :rule cong :premises (@p53) :args (@t89))
% 0.46/0.66  (step @p55 :rule quant-merge-prenex :args ((= (forall @t42 @t91) @t89)))
% 0.46/0.66  (step @p56 :rule alpha_equiv :args (@t92 (@list @t69) @t93))
% 0.46/0.66  (step @p57 :rule refl :args (@t86))
% 0.46/0.66  (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t94))
% 0.46/0.66  (step @p59 :rule quant-miniscope-or :args ((= @t91 @t94)))
% 0.46/0.66  (step @p60 :rule trans :premises (@p59 @p58))
% 0.46/0.66  (step @p61 :rule symm :premises (@p60))
% 0.46/0.66  (step @p62 :rule cong :premises (@p61) :args ((forall @t42 @t96)))
% 0.46/0.66  (step @p63 :rule trans :premises (@p62 @p55))
% 0.46/0.66  (step @p64 :rule trans :premises (@p63 @p54))
% 0.46/0.66  (step @p65 :rule beta-reduce :args ((= @t103 @t96)))
% 0.46/0.66  (step @p66 :rule cong :premises (@p65) :args (@t104))
% 0.46/0.66  (step @p67 :rule trans :premises (@p66 @p64))
% 0.46/0.66  (step @p68 :rule beta-reduce :args ((= (_ @t106 @t102) @t104)))
% 0.46/0.66  (step @p69 :rule trans :premises (@p68 @p67))
% 0.46/0.66  (step @p70 :rule refl :args (@t95))
% 0.46/0.66  (step @p71 :rule refl :args (@t107))
% 0.46/0.66  (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t107 @t95)))
% 0.46/0.66  (step @p73 :rule symm :premises (@p72))
% 0.46/0.66  (step @p74 :rule eq_resolve :premises (@p71 @p73))
% 0.46/0.66  (step @p75 :rule refl :args (@t97))
% 0.46/0.66  (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t108))
% 0.46/0.66  (step @p77 :rule cong :premises (@p76) :args ((forall @t33 @t108)))
% 0.46/0.66  (step @p78 :rule beta-reduce :args ((= @t110 @t107)))
% 0.46/0.66  (step @p79 :rule refl :args (@t97))
% 0.46/0.66  (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t111))
% 0.46/0.66  (step @p81 :rule cong :premises (@p80) :args (@t112))
% 0.46/0.66  (step @p82 :rule trans :premises (@p81 @p77))
% 0.46/0.66  (step @p83 :rule refl :args (@t100))
% 0.46/0.66  (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t113))
% 0.46/0.66  (step @p85 :rule cong :premises (@p84) :args (@t114))
% 0.46/0.66  (step @p86 :rule beta-reduce :args ((= (_ (lambda @t117 (or @t100 @t116)) @t109) @t114)))
% 0.46/0.66  (step @p87 :rule trans :premises (@p86 @p85))
% 0.46/0.66  (step @p88 :rule beta-reduce :args ((= @t118 @t109)))
% 0.46/0.66  (step @p89 :rule refl :args (@t116))
% 0.46/0.66  (step @p90 :rule aci_norm :args ((= @t121 @t99)))
% 0.46/0.66  (step @p91 :rule cong :premises (@p90) :args (@t122))
% 0.46/0.66  (step @p92 :rule quant-merge-prenex :args ((= (forall @t33 @t123) @t122)))
% 0.46/0.66  (step @p93 :rule alpha_equiv :args (@t124 (@list @t74 @t72) (@list @t126 @t125)))
% 0.46/0.66  (step @p94 :rule alpha_equiv :args (@t127 (@list @t81) @t129))
% 0.46/0.66  (step @p95 :rule nary_cong :premises (@p75 @p94 @p93) :args (@t130))
% 0.46/0.66  (step @p96 :rule quant-miniscope-or :args ((= @t123 @t130)))
% 0.46/0.66  (step @p97 :rule trans :premises (@p96 @p95))
% 0.46/0.66  (step @p98 :rule symm :premises (@p97))
% 0.46/0.66  (step @p99 :rule cong :premises (@p98) :args ((forall @t33 @t139)))
% 0.46/0.66  (step @p100 :rule trans :premises (@p99 @p92))
% 0.46/0.66  (step @p101 :rule trans :premises (@p100 @p91))
% 0.46/0.66  (step @p102 :rule aci_norm :args ((= (or @t97 @t140) @t139)))
% 0.46/0.66  (step @p103 :rule beta-reduce :args ((= (_ (lambda @t101 (or (forall @t137 (or (not (tptp.irel @t26 @t128)) @t136)) (forall @t134 (or (not (tptp.irel @t26 @t126)) @t133 @t132 @t131)))) @t8) @t140)))
% 0.46/0.66  (step @p104 :rule refl :args (@t8))
% 0.46/0.66  (step @p105 :rule alpha_equiv :args (@t145 @t93 (@list @t126)))
% 0.46/0.66  (step @p106 :rule alpha_equiv :args (@t147 @t93 @t129))
% 0.46/0.66  (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t148))
% 0.46/0.66  (step @p108 :rule cong :premises (@p107) :args (@t149))
% 0.46/0.66  (step @p109 :rule ho_cong :premises (@p108 @p104))
% 0.46/0.66  (step @p110 :rule trans :premises (@p109 @p103))
% 0.46/0.66  (step @p111 :rule nary_cong :premises (@p79 @p110) :args (@t150))
% 0.46/0.66  (step @p112 :rule trans :premises (@p111 @p102))
% 0.46/0.66  (step @p113 :rule cong :premises (@p112) :args (@t151))
% 0.46/0.66  (step @p114 :rule trans :premises (@p113 @p101))
% 0.46/0.66  (step @p115 :rule cong :premises (@p114) :args (@t152))
% 0.46/0.66  (step @p116 :rule nary_cong :premises (@p115 @p89) :args (@t153))
% 0.46/0.66  (step @p117 :rule cong :premises (@p116) :args (@t154))
% 0.46/0.66  (step @p118 :rule beta-reduce :args ((= (_ @t159 @t149) @t154)))
% 0.46/0.66  (step @p119 :rule trans :premises (@p118 @p117))
% 0.46/0.66  (step @p120 :rule aci_norm :args ((= @t161 @t143)))
% 0.46/0.66  (step @p121 :rule cong :premises (@p120) :args (@t162))
% 0.46/0.66  (step @p122 :rule quant-merge-prenex :args ((= (forall @t33 @t164) @t162)))
% 0.46/0.66  (step @p123 :rule alpha_equiv :args (@t165 (@list @t125) @t167))
% 0.46/0.66  (step @p124 :rule refl :args (@t142))
% 0.46/0.66  (step @p125 :rule nary_cong :premises (@p75 @p124 @p123) :args (@t168))
% 0.46/0.66  (step @p126 :rule quant-miniscope-or :args ((= @t164 @t168)))
% 0.46/0.66  (step @p127 :rule trans :premises (@p126 @p125))
% 0.46/0.66  (step @p128 :rule symm :premises (@p127))
% 0.46/0.66  (step @p129 :rule cong :premises (@p128) :args ((forall @t33 @t172)))
% 0.46/0.66  (step @p130 :rule trans :premises (@p129 @p122))
% 0.46/0.66  (step @p131 :rule trans :premises (@p130 @p121))
% 0.46/0.66  (step @p132 :rule aci_norm :args ((= (or @t97 @t173) @t172)))
% 0.46/0.66  (step @p133 :rule beta-reduce :args ((= (_ (lambda @t101 (or (not (forall @t78 (or (not (tptp.irel @t26 @t76)) @t77))) (forall @t170 (or (not (tptp.irel @t26 @t166)) @t169)))) @t8) @t173)))
% 0.46/0.66  (step @p134 :rule alpha_equiv :args (@t98 @t93 @t167))
% 0.46/0.66  (step @p135 :rule alpha_equiv :args (@t147 @t93 (@list @t76)))
% 0.46/0.66  (step @p136 :rule cong :premises (@p135) :args (@t174))
% 0.46/0.66  (step @p137 :rule nary_cong :premises (@p136 @p134) :args (@t175))
% 0.46/0.66  (step @p138 :rule cong :premises (@p137) :args (@t176))
% 0.46/0.66  (step @p139 :rule ho_cong :premises (@p138 @p104))
% 0.46/0.66  (step @p140 :rule trans :premises (@p139 @p133))
% 0.46/0.66  (step @p141 :rule nary_cong :premises (@p79 @p140) :args (@t177))
% 0.46/0.66  (step @p142 :rule trans :premises (@p141 @p132))
% 0.46/0.66  (step @p143 :rule cong :premises (@p142) :args (@t178))
% 0.46/0.66  (step @p144 :rule trans :premises (@p143 @p131))
% 0.46/0.66  (step @p145 :rule refl :args (@t147))
% 0.46/0.66  (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t179))
% 0.46/0.66  (step @p147 :rule cong :premises (@p146) :args (@t180))
% 0.46/0.66  (step @p148 :rule beta-reduce :args ((= (_ (lambda @t117 (or @t147 @t116)) @t176) @t180)))
% 0.46/0.66  (step @p149 :rule trans :premises (@p148 @p147))
% 0.46/0.66  (step @p150 :rule refl :args (@t174))
% 0.46/0.66  (step @p151 :rule nary_cong :premises (@p150 @p82) :args (@t181))
% 0.46/0.66  (step @p152 :rule cong :premises (@p151) :args (@t182))
% 0.46/0.66  (step @p153 :rule beta-reduce :args ((= (_ (lambda @t117 (or @t174 @t116)) @t109) @t182)))
% 0.46/0.66  (step @p154 :rule trans :premises (@p153 @p152))
% 0.46/0.66  (step @p155 :rule refl :args (@t146))
% 0.46/0.66  (step @p156 :rule refl :args (@t183))
% 0.46/0.66  (step @p157 :rule cong :premises (@p156 @p155) :args ((= @t183 @t146)))
% 0.46/0.66  (step @p158 :rule symm :premises (@p157))
% 0.46/0.66  (step @p159 :rule eq_resolve :premises (@p156 @p158))
% 0.46/0.66  (step @p160 :rule nary_cong :premises (@p75 @p159) :args (@t184))
% 0.46/0.66  (step @p161 :rule cong :premises (@p160) :args ((forall @t33 @t184)))
% 0.46/0.66  (step @p162 :rule beta-reduce :args ((= @t186 @t183)))
% 0.46/0.66  (step @p163 :rule nary_cong :premises (@p79 @p162) :args (@t187))
% 0.46/0.66  (step @p164 :rule cong :premises (@p163) :args (@t188))
% 0.46/0.66  (step @p165 :rule trans :premises (@p164 @p161))
% 0.46/0.66  (step @p166 :rule cong :premises (@p165) :args (@t189))
% 0.46/0.66  (step @p167 :rule nary_cong :premises (@p166 @p89) :args (@t190))
% 0.46/0.66  (step @p168 :rule cong :premises (@p167) :args (@t191))
% 0.46/0.66  (step @p169 :rule beta-reduce :args ((= (_ @t159 @t185) @t191)))
% 0.46/0.66  (step @p170 :rule trans :premises (@p169 @p168))
% 0.46/0.66  (step @p171 :rule beta-reduce :args ((= (_ @t38 tptp.p1) @t185)))
% 0.46/0.66  (step @p172 :rule refl :args (@t159))
% 0.46/0.66  (step @p173 :rule ho_cong :premises (@p172 @p171))
% 0.46/0.66  (step @p174 :rule trans :premises (@p173 @p170))
% 0.46/0.66  (step @p175 :rule ho_cong :premises (@p174 @p88))
% 0.46/0.66  (step @p176 :rule trans :premises (@p175 @p154))
% 0.46/0.66  (step @p177 :rule nary_cong :premises (@p165 @p89) :args (@t192))
% 0.46/0.66  (step @p178 :rule cong :premises (@p177) :args (@t193))
% 0.46/0.66  (step @p179 :rule beta-reduce :args ((= (_ @t195 @t185) @t193)))
% 0.46/0.66  (step @p180 :rule trans :premises (@p179 @p178))
% 0.46/0.66  (step @p181 :rule refl :args (@t195))
% 0.46/0.66  (step @p182 :rule ho_cong :premises (@p181 @p171))
% 0.46/0.66  (step @p183 :rule trans :premises (@p182 @p180))
% 0.46/0.66  (step @p184 :rule ho_cong :premises (@p183 @p176))
% 0.46/0.66  (step @p185 :rule trans :premises (@p184 @p149))
% 0.46/0.66  (step @p186 :rule ho_cong :premises (@p172 @p185))
% 0.46/0.66  (step @p187 :rule trans :premises (@p186 @p119))
% 0.46/0.66  (step @p188 :rule ho_cong :premises (@p187 @p88))
% 0.46/0.66  (step @p189 :rule trans :premises (@p188 @p87))
% 0.46/0.66  (step @p190 :rule refl :args (@t106))
% 0.46/0.66  (step @p191 :rule ho_cong :premises (@p190 @p189))
% 0.46/0.66  (step @p192 :rule trans :premises (@p191 @p69))
% 0.46/0.66  (step @p193 :rule refl :args (tptp.f))
% 0.46/0.66  (step @p194 :rule ho_cong :premises (@p12 @p193))
% 0.46/0.66  (step @p195 :rule refl :args (tptp.p1))
% 0.46/0.66  (step @p196 :rule ho_cong :premises (@p12 @p195))
% 0.46/0.66  (step @p197 :rule beta-reduce :args ((= (_ (lambda @t101 @t158) @t26) @t158)))
% 0.46/0.66  (step @p198 :rule refl :args (@t26))
% 0.46/0.66  (step @p199 :rule beta-reduce :args ((= @t198 @t116)))
% 0.46/0.66  (step @p200 :rule refl :args (@t157))
% 0.46/0.66  (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t199))
% 0.46/0.66  (step @p202 :rule cong :premises (@p201) :args (@t200))
% 0.46/0.66  (step @p203 :rule beta-reduce :args ((= (_ (lambda @t202 (or @t157 @t201)) @t197) @t200)))
% 0.46/0.66  (step @p204 :rule trans :premises (@p203 @p202))
% 0.46/0.66  (step @p205 :rule beta-reduce :args ((= (_ @t204 @t44) @t197)))
% 0.46/0.66  (step @p206 :rule refl :args (@t201))
% 0.46/0.66  (step @p207 :rule beta-reduce :args ((= @t206 @t156)))
% 0.46/0.66  (step @p208 :rule cong :premises (@p207) :args (@t207))
% 0.46/0.66  (step @p209 :rule nary_cong :premises (@p208 @p206) :args (@t208))
% 0.46/0.66  (step @p210 :rule cong :premises (@p209) :args (@t209))
% 0.46/0.66  (step @p211 :rule beta-reduce :args ((= (_ @t211 @t205) @t209)))
% 0.46/0.66  (step @p212 :rule trans :premises (@p211 @p210))
% 0.46/0.66  (step @p213 :rule beta-reduce :args ((= (_ @t204 @t31) @t205)))
% 0.46/0.66  (step @p214 :rule refl :args (@t211))
% 0.46/0.66  (step @p215 :rule ho_cong :premises (@p214 @p213))
% 0.46/0.66  (step @p216 :rule trans :premises (@p215 @p212))
% 0.46/0.66  (step @p217 :rule ho_cong :premises (@p216 @p205))
% 0.46/0.66  (step @p218 :rule trans :premises (@p217 @p204))
% 0.46/0.66  (step @p219 :rule ho_cong :premises (@p218 @p198))
% 0.46/0.66  (step @p220 :rule trans :premises (@p219 @p197))
% 0.46/0.66  (step @p221 :rule refl :args (@t44))
% 0.46/0.66  (step @p222 :rule refl :args (@t155))
% 0.46/0.66  (step @p223 :rule refl :args (@t32))
% 0.46/0.66  (step @p224 :rule cong :premises (@p223 @p222) :args ((= @t32 @t155)))
% 0.46/0.66  (step @p225 :rule symm :premises (@p224))
% 0.46/0.66  (step @p226 :rule eq_resolve :premises (@p223 @p225))
% 0.46/0.66  (step @p227 :rule nary_cong :premises (@p41 @p226) :args (@t212))
% 0.46/0.66  (step @p228 :rule cong :premises (@p227) :args ((forall @t33 @t212)))
% 0.46/0.66  (step @p229 :rule bool-impl-elim :args (@t10 @t32))
% 0.46/0.66  (step @p230 :rule cong :premises (@p229) :args (@t34))
% 0.46/0.66  (step @p231 :rule trans :premises (@p230 @p228))
% 0.46/0.66  (step @p232 :rule cong :premises (@p231) :args (@t36))
% 0.46/0.66  (step @p233 :rule trans :premises (@p11 @p232))
% 0.46/0.66  (step @p234 :rule ho_cong :premises (@p233 @p221))
% 0.46/0.66  (step @p235 :rule refl :args (@t31))
% 0.46/0.66  (step @p236 :rule ho_cong :premises (@p233 @p235))
% 0.46/0.66  (step @p237 :rule beta-reduce :args ((= (_ @t215 @t26) @t210)))
% 0.46/0.66  (step @p238 :rule beta-reduce :args ((= (_ (lambda @t216 (or @t213 @t22)) @t27) @t215)))
% 0.46/0.66  (step @p239 :rule refl :args (@t27))
% 0.46/0.66  (step @p240 :rule refl :args (@t22))
% 0.46/0.66  (step @p241 :rule beta-reduce :args ((= @t218 @t213)))
% 0.46/0.66  (step @p242 :rule nary_cong :premises (@p241 @p240) :args (@t219))
% 0.46/0.66  (step @p243 :rule cong :premises (@p242) :args (@t220))
% 0.46/0.66  (step @p244 :rule beta-reduce :args ((= (_ @t24 @t217) @t220)))
% 0.46/0.66  (step @p245 :rule trans :premises (@p244 @p243))
% 0.46/0.66  (step @p246 :rule beta-reduce :args ((= (_ @t20 @t28) @t217)))
% 0.46/0.66  (step @p247 :rule refl :args (@t24))
% 0.46/0.66  (step @p248 :rule ho_cong :premises (@p247 @p246))
% 0.46/0.66  (step @p249 :rule trans :premises (@p248 @p245))
% 0.46/0.66  (step @p250 :rule ho_cong :premises (@p249 @p239))
% 0.46/0.66  (step @p251 :rule trans :premises (@p250 @p238))
% 0.46/0.66  (step @p252 :rule ho_cong :premises (@p251 @p198))
% 0.46/0.66  (step @p253 :rule trans :premises (@p252 @p237))
% 0.46/0.66  (step @p254 :rule refl :args (@t28))
% 0.46/0.66  (step @p255 :rule ho_cong :premises (@p7 @p254))
% 0.46/0.66  (step @p256 :rule ho_cong :premises (@p8 @p255))
% 0.46/0.66  (step @p257 :rule ho_cong :premises (@p256 @p239))
% 0.46/0.66  (step @p258 :rule ho_cong :premises (@p257 @p198))
% 0.46/0.66  (step @p259 :rule trans :premises (@p258 @p253))
% 0.46/0.66  (step @p260 :rule cong :premises (@p259) :args (@t30))
% 0.46/0.66  (step @p261 :rule trans :premises (@p10 @p260))
% 0.46/0.66  (step @p262 :rule ho_cong :premises (@p261 @p236))
% 0.46/0.66  (step @p263 :rule ho_cong :premises (@p262 @p234))
% 0.46/0.66  (step @p264 :rule ho_cong :premises (@p263 @p198))
% 0.46/0.66  (step @p265 :rule trans :premises (@p264 @p220))
% 0.46/0.66  (step @p266 :rule cong :premises (@p265) :args (@t49))
% 0.46/0.66  (step @p267 :rule trans :premises (@p17 @p266))
% 0.46/0.66  (step @p268 :rule ho_cong :premises (@p267 @p196))
% 0.46/0.66  (step @p269 :rule ho_cong :premises (@p268 @p194))
% 0.46/0.66  (step @p270 :rule beta-reduce :args ((= (_ (lambda @t214 (or @t223 @t222)) @t26) @t194)))
% 0.46/0.66  (step @p271 :rule beta-reduce :args ((= @t224 @t222)))
% 0.46/0.66  (step @p272 :rule refl :args (@t223))
% 0.46/0.66  (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t225))
% 0.46/0.66  (step @p274 :rule cong :premises (@p273) :args (@t226))
% 0.46/0.66  (step @p275 :rule beta-reduce :args ((= (_ (lambda @t216 (or @t223 @t22)) @t197) @t226)))
% 0.46/0.66  (step @p276 :rule trans :premises (@p275 @p274))
% 0.46/0.66  (step @p277 :rule beta-reduce :args ((= @t227 @t223)))
% 0.46/0.66  (step @p278 :rule nary_cong :premises (@p277 @p240) :args (@t228))
% 0.46/0.66  (step @p279 :rule cong :premises (@p278) :args (@t229))
% 0.46/0.66  (step @p280 :rule beta-reduce :args ((= (_ @t24 @t205) @t229)))
% 0.46/0.66  (step @p281 :rule trans :premises (@p280 @p279))
% 0.46/0.66  (step @p282 :rule ho_cong :premises (@p247 @p213))
% 0.46/0.66  (step @p283 :rule trans :premises (@p282 @p281))
% 0.46/0.66  (step @p284 :rule ho_cong :premises (@p283 @p205))
% 0.46/0.66  (step @p285 :rule trans :premises (@p284 @p276))
% 0.46/0.66  (step @p286 :rule ho_cong :premises (@p285 @p198))
% 0.46/0.66  (step @p287 :rule trans :premises (@p286 @p270))
% 0.46/0.66  (step @p288 :rule ho_cong :premises (@p8 @p236))
% 0.46/0.66  (step @p289 :rule ho_cong :premises (@p288 @p234))
% 0.46/0.66  (step @p290 :rule ho_cong :premises (@p289 @p198))
% 0.46/0.66  (step @p291 :rule trans :premises (@p290 @p287))
% 0.46/0.66  (step @p292 :rule cong :premises (@p291) :args (@t48))
% 0.46/0.66  (step @p293 :rule trans :premises (@p16 @p292))
% 0.46/0.66  (step @p294 :rule ho_cong :premises (@p293 @p196))
% 0.46/0.66  (step @p295 :rule ho_cong :premises (@p294 @p269))
% 0.46/0.66  (step @p296 :rule ho_cong :premises (@p267 @p295))
% 0.46/0.66  (step @p297 :rule ho_cong :premises (@p296 @p194))
% 0.46/0.66  (step @p298 :rule refl :args (@t105))
% 0.46/0.66  (step @p299 :rule refl :args (@t55))
% 0.46/0.66  (step @p300 :rule cong :premises (@p299 @p298) :args ((= @t55 @t105)))
% 0.46/0.66  (step @p301 :rule symm :premises (@p300))
% 0.46/0.66  (step @p302 :rule eq_resolve :premises (@p299 @p301))
% 0.46/0.66  (step @p303 :rule cong :premises (@p302) :args (@t56))
% 0.46/0.66  (step @p304 :rule cong :premises (@p303) :args (@t58))
% 0.46/0.66  (step @p305 :rule trans :premises (@p21 @p304))
% 0.46/0.66  (step @p306 :rule ho_cong :premises (@p305 @p297))
% 0.46/0.66  (step @p307 :rule trans :premises (@p306 @p192))
% 0.46/0.66  (step @p308 :rule eq_resolve :premises (@p4 @p307))
% 0.46/0.66  (step @p309 :rule instantiate :premises (@p308) :args ((@list @t231 @t231)))
% 0.46/0.66  (step @p310 :rule refl :args (@t232))
% 0.46/0.66  (step @p311 :rule refl :args (@t3))
% 0.46/0.66  (step @p312 :rule cong :premises (@p311 @p310) :args ((= @t3 @t232)))
% 0.46/0.66  (step @p313 :rule symm :premises (@p312))
% 0.46/0.66  (step @p314 :rule eq_resolve :premises (@p311 @p313))
% 0.46/0.66  (step @p315 :rule cong :premises (@p314) :args (@t5))
% 0.46/0.66  (step @p316 :rule eq_resolve :premises (@p1 @p315))
% 0.46/0.66  (step @p317 :rule instantiate :premises (@p316) :args ((@list @t231)))
% 0.46/0.66  (step @p318 :rule refl :args (@t230))
% 0.46/0.66  (step @p319 :rule refl :args (@t233))
% 0.46/0.66  (step @p320 :rule cong :premises (@p319 @p318) :args ((= @t233 @t230)))
% 0.46/0.66  (step @p321 :rule symm :premises (@p320))
% 0.46/0.66  (step @p322 :rule eq_resolve :premises (@p319 @p321))
% 0.46/0.66  (step @p323 :rule cong :premises (@p322) :args ((forall @t42 @t233)))
% 0.46/0.66  (step @p324 :rule beta-reduce :args ((= @t234 @t233)))
% 0.46/0.66  (step @p325 :rule cong :premises (@p324) :args (@t235))
% 0.46/0.66  (step @p326 :rule trans :premises (@p325 @p323))
% 0.46/0.66  (step @p327 :rule beta-reduce :args ((= (_ @t106 @t109) @t235)))
% 0.46/0.66  (step @p328 :rule trans :premises (@p327 @p326))
% 0.46/0.66  (step @p329 :rule ho_cong :premises (@p190 @p88))
% 0.46/0.66  (step @p330 :rule trans :premises (@p329 @p328))
% 0.46/0.66  (step @p331 :rule cong :premises (@p330) :args ((not (_ @t106 @t118))))
% 0.46/0.66  (step @p332 :rule ho_cong :premises (@p305 @p194))
% 0.46/0.66  (step @p333 :rule cong :premises (@p332) :args (@t16))
% 0.46/0.66  (step @p334 :rule trans :premises (@p333 @p331))
% 0.46/0.66  (step @p335 :rule eq_resolve :premises (@p5 @p334))
% 0.46/0.66  (step @p336 :rule skolemize :premises (@p335))
% 0.46/0.66  (step @p337 :rule cnf_or_pos :args (@t241))
% 0.46/0.66  (step @p338 :rule reordering :premises (@p337) :args ((or @t236 @t238 @t240 (not @t241))))
% 0.46/0.66  (step @p339 :rule chain_m_resolution :premises (@p338 @p336 @p317 @p309) :args (@t240 (@list true false false) (@list @t236 @t237 @t241)))
% 0.46/0.66  (step @p340 :rule skolemize :premises (@p339))
% 0.46/0.66  (step @p341 :rule bool-double-not-elim :args (@t243))
% 0.46/0.66  (step @p342 :rule refl :args (@t251))
% 0.46/0.66  (step @p343 :rule nary_cong :premises (@p342 @p341) :args ((or @t251 (not @t248))))
% 0.46/0.66  (step @p344 :rule cnf_or_neg :args (@t251 4))
% 0.46/0.66  (step @p345 :rule eq_resolve :premises (@p344 @p343))
% 0.46/0.66  (step @p346 :rule reordering :premises (@p345) :args ((or @t243 @t251)))
% 0.46/0.66  (step @p347 :rule chain_m_resolution :premises (@p346 @p340) :args (@t243 @t252 @t253))
% 0.46/0.66  (step @p348 :rule instantiate :premises (@p347) :args ((@list @t255)))
% 0.46/0.66  (step @p349 :rule instantiate :premises (@p308) :args ((@list @t242 @t244)))
% 0.46/0.66  (step @p350 :rule cnf_or_neg :args (@t251 6))
% 0.46/0.66  (step @p351 :rule chain_m_resolution :premises (@p350 @p340) :args ((not @t245) @t252 @t253))
% 0.46/0.66  (step @p352 :rule bool-double-not-elim :args (@t246))
% 0.46/0.66  (step @p353 :rule nary_cong :premises (@p342 @p352) :args ((or @t251 (not @t247))))
% 0.46/0.66  (step @p354 :rule cnf_or_neg :args (@t251 5))
% 0.46/0.66  (step @p355 :rule eq_resolve :premises (@p354 @p353))
% 0.46/0.66  (step @p356 :rule reordering :premises (@p355) :args ((or @t246 @t251)))
% 0.46/0.66  (step @p357 :rule chain_m_resolution :premises (@p356 @p340) :args (@t246 @t252 @t253))
% 0.46/0.66  (step @p358 :rule cnf_or_pos :args (@t257))
% 0.46/0.66  (step @p359 :rule reordering :premises (@p358) :args ((or @t247 @t245 @t256 (not @t257))))
% 0.46/0.66  (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p351 @p349) :args (@t256 (@list false true false) (@list @t246 @t245 @t257)))
% 0.46/0.66  (step @p361 :rule skolemize :premises (@p360))
% 0.46/0.66  (step @p362 :rule cnf_or_neg :args (@t266 2))
% 0.46/0.66  (step @p363 :rule chain_m_resolution :premises (@p362 @p361) :args ((not @t261) @t252 @t267))
% 0.46/0.66  (step @p364 :rule cnf_or_pos :args (@t270))
% 0.46/0.66  (step @p365 :rule reordering :premises (@p364) :args ((or @t261 @t269 (not @t270))))
% 0.46/0.66  (step @p366 :rule chain_m_resolution :premises (@p365 @p363 @p348) :args (@t269 @t271 (@list @t261 @t270)))
% 0.46/0.66  (step @p367 :rule bool-double-not-elim :args (@t262))
% 0.46/0.66  (step @p368 :rule refl :args (@t266))
% 0.46/0.66  (step @p369 :rule nary_cong :premises (@p368 @p367) :args ((or @t266 (not @t263))))
% 0.46/0.66  (step @p370 :rule cnf_or_neg :args (@t266 1))
% 0.46/0.66  (step @p371 :rule eq_resolve :premises (@p370 @p369))
% 0.46/0.66  (step @p372 :rule reordering :premises (@p371) :args ((or @t262 @t266)))
% 0.46/0.66  (step @p373 :rule chain_m_resolution :premises (@p372 @p361) :args (@t262 @t252 @t267))
% 0.46/0.66  (step @p374 :rule bool-double-not-elim :args (@t264))
% 0.46/0.66  (step @p375 :rule nary_cong :premises (@p368 @p374) :args ((or @t266 (not @t265))))
% 0.46/0.66  (step @p376 :rule cnf_or_neg :args (@t266 0))
% 0.46/0.66  (step @p377 :rule eq_resolve :premises (@p376 @p375))
% 0.46/0.66  (step @p378 :rule reordering :premises (@p377) :args ((or @t264 @t266)))
% 0.46/0.66  (step @p379 :rule chain_m_resolution :premises (@p378 @p361) :args (@t264 @t252 @t267))
% 0.46/0.66  (step @p380 :rule cnf_or_pos :args (@t272))
% 0.46/0.66  (step @p381 :rule reordering :premises (@p380) :args ((or @t265 @t263 @t268 @t273)))
% 0.46/0.66  (step @p382 :rule chain_m_resolution :premises (@p381 @p379 @p373 @p366) :args (@t273 (@list false false true) (@list @t264 @t262 @t268)))
% 0.46/0.66  (assume-push @p389 @t274)
% 0.46/0.66  (step @p384 :rule instantiate :premises (@p52) :args ((@list @t242 @t260 @t255)))
% 0.46/0.66  (step-pop @p390 :rule scope :premises (@p384))
% 0.46/0.66  (step @p385 :rule process_scope :premises (@p390) :args (@t272))
% 0.46/0.66  (step @p387 :rule implies_elim :premises (@p385))
% 0.46/0.66  (step @p388 false :rule chain_m_resolution :premises (@p387 @p382 @p52) :args (false @t271 (@list @t272 @t274)))
% 0.46/0.66  )
% 0.46/0.66  % SZS output end Proof
% 0.46/0.66  % cvc5 exiting
%------------------------------------------------------------------------------