cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN391^4 : 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 : 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 09:08:46 AM UTC 2026

% Result   : Theorem 1.01s 1.27s
% Output   : Proof 1.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN391^4 : 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
% 0.17/0.36  % Computer : n002.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Tue Jun  2 23:26:03 EDT 2026
% 0.17/0.36  % CPUTime  : 
% 0.33/0.52  %----Proving TH0
% 1.01/1.27  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 1.01/1.27  % SZS status Theorem
% 1.01/1.27  % SZS output start Proof
% 1.01/1.27  (
% 1.01/1.27  (declare-sort $$unsorted 0)
% 1.01/1.27  (declare-const tptp.irel (-> $$unsorted $$unsorted Bool))
% 1.01/1.27  (declare-const tptp.p1 (-> $$unsorted Bool))
% 1.01/1.27  (declare-const tptp.p2 (-> $$unsorted Bool))
% 1.01/1.27  (declare-const tptp.ifalse (-> $$unsorted Bool))
% 1.01/1.27  (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))))))
% 1.01/1.27  (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 1.01/1.27  (define tptp.mand () (let ((_let_1 (@var "U" $$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)))))))
% 1.01/1.27  (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1))))))
% 1.01/1.27  (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$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))))))))
% 1.01/1.27  (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)))))
% 1.01/1.27  (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)))))
% 1.01/1.27  (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true))
% 1.01/1.27  (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$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))))))
% 1.01/1.27  (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1))))))
% 1.01/1.27  (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$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))))))
% 1.01/1.27  (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1))))))
% 1.01/1.27  (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$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))))))
% 1.01/1.27  (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1))))))
% 1.01/1.27  (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1))))))
% 1.01/1.27  (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1))))))
% 1.01/1.27  (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1)))))))
% 1.01/1.27  (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1)))))))
% 1.01/1.27  (define @t1 () (@var "X" $$unsorted))
% 1.01/1.27  (define @t2 () (_ tptp.irel @t1))
% 1.01/1.27  (define @t3 () (_ @t2 @t1))
% 1.01/1.27  (define @t4 () (@list @t1))
% 1.01/1.27  (define @t5 () (forall @t4 @t3))
% 1.01/1.27  (define @t6 () (@var "Z" $$unsorted))
% 1.01/1.27  (define @t7 () (_ @t2 @t6))
% 1.01/1.27  (define @t8 () (@var "Y" $$unsorted))
% 1.01/1.27  (define @t9 () (_ (_ tptp.irel @t8) @t6))
% 1.01/1.27  (define @t10 () (_ @t2 @t8))
% 1.01/1.27  (define @t11 () (and @t10 @t9))
% 1.01/1.27  (define @t12 () (@list @t1 @t8 @t6))
% 1.01/1.27  (define @t13 () (forall @t12 (=> @t11 @t7)))
% 1.01/1.27  (define @t14 () (_ tptp.iatom tptp.p2))
% 1.01/1.27  (define @t15 () (_ tptp.inot @t14))
% 1.01/1.27  (define @t16 () (_ tptp.iatom tptp.p1))
% 1.01/1.27  (define @t17 () (_ tptp.ior (_ tptp.inot @t16)))
% 1.01/1.27  (define @t18 () (_ tptp.ior @t16))
% 1.01/1.27  (define @t19 () (not (_ tptp.ivalid (_ (_ tptp.iimplies (_ (_ tptp.iand (_ @t18 @t14)) (_ (_ tptp.iand (_ @t17 @t14)) (_ @t18 @t15)))) (_ tptp.inot (_ @t17 @t15))))))
% 1.01/1.27  (define @t20 () (@var "U" $$unsorted))
% 1.01/1.27  (define @t21 () (@var "X" (-> $$unsorted Bool)))
% 1.01/1.27  (define @t22 () (_ @t21 @t20))
% 1.01/1.27  (define @t23 () (lambda (@list @t21 @t20) (not @t22)))
% 1.01/1.27  (define @t24 () (@var "Y" (-> $$unsorted Bool)))
% 1.01/1.27  (define @t25 () (_ @t24 @t20))
% 1.01/1.27  (define @t26 () (@list @t21 @t24 @t20))
% 1.01/1.27  (define @t27 () (lambda @t26 (or @t22 @t25)))
% 1.01/1.27  (define @t28 () (lambda @t26 (and @t22 @t25)))
% 1.01/1.27  (define @t29 () (@var "__flatten_var_0" $$unsorted))
% 1.01/1.27  (define @t30 () (@var "V" (-> $$unsorted Bool)))
% 1.01/1.27  (define @t31 () (@var "U" (-> $$unsorted Bool)))
% 1.01/1.27  (define @t32 () (@list @t31 @t30 @t29))
% 1.01/1.27  (define @t33 () (lambda @t32 (_ (_ (_ tptp.mor (_ tptp.mnot @t31)) @t30) @t29)))
% 1.01/1.27  (define @t34 () (@var "P" (-> $$unsorted Bool)))
% 1.01/1.27  (define @t35 () (_ @t34 @t8))
% 1.01/1.27  (define @t36 () (@list @t8))
% 1.01/1.27  (define @t37 () (forall @t36 (=> @t10 @t35)))
% 1.01/1.27  (define @t38 () (@list @t34 @t1))
% 1.01/1.27  (define @t39 () (lambda @t38 @t37))
% 1.01/1.27  (define @t40 () (_ @t34 @t29))
% 1.01/1.27  (define @t41 () (@list @t34 @t29))
% 1.01/1.27  (define @t42 () (lambda @t41 @t40))
% 1.01/1.27  (define @t43 () (_ tptp.mbox_s4 @t34))
% 1.01/1.27  (define @t44 () (lambda @t41 (_ (_ tptp.mnot @t43) @t29)))
% 1.01/1.27  (define @t45 () (@var "W" $$unsorted))
% 1.01/1.27  (define @t46 () (@list @t45))
% 1.01/1.27  (define @t47 () (lambda @t46 true))
% 1.01/1.27  (define @t48 () (@var "Q" (-> $$unsorted Bool)))
% 1.01/1.27  (define @t49 () (@list @t34 @t48 @t29))
% 1.01/1.27  (define @t50 () (lambda @t49 (_ (_ (_ tptp.mand @t34) @t48) @t29)))
% 1.01/1.27  (define @t51 () (_ tptp.mbox_s4 @t48))
% 1.01/1.27  (define @t52 () (lambda @t49 (_ (_ (_ tptp.mor @t43) @t51) @t29)))
% 1.01/1.27  (define @t53 () (lambda @t49 (_ (_ (_ tptp.mimplies @t43) @t51) @t29)))
% 1.01/1.27  (define @t54 () (_ (_ tptp.iimplies @t48) @t34))
% 1.01/1.27  (define @t55 () (lambda @t49 (_ @t54 @t29)))
% 1.01/1.27  (define @t56 () (lambda @t49 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t34) @t48)) @t54) @t29)))
% 1.01/1.27  (define @t57 () (lambda @t49 (_ (_ tptp.inot (_ (_ tptp.iequiv @t34) @t48)) @t29)))
% 1.01/1.27  (define @t58 () (@var "Phi" (-> $$unsorted Bool)))
% 1.01/1.27  (define @t59 () (_ @t58 @t45))
% 1.01/1.27  (define @t60 () (forall @t46 @t59))
% 1.01/1.27  (define @t61 () (@list @t58))
% 1.01/1.27  (define @t62 () (lambda @t61 @t60))
% 1.01/1.27  (define @t63 () (lambda @t61 (exists @t46 @t59)))
% 1.01/1.27  (define @t64 () (not @t59))
% 1.01/1.27  (define @t65 () (lambda @t61 (exists @t46 @t64)))
% 1.01/1.27  (define @t66 () (lambda @t61 (forall @t46 @t64)))
% 1.01/1.27  (define @t67 () (tptp.irel @t1 @t6))
% 1.01/1.27  (define @t68 () (tptp.irel @t8 @t6))
% 1.01/1.27  (define @t69 () (not @t9))
% 1.01/1.27  (define @t70 () (tptp.irel @t1 @t8))
% 1.01/1.27  (define @t71 () (not @t10))
% 1.01/1.27  (define @t72 () (or @t71 @t69 @t7))
% 1.01/1.27  (define @t73 () (@var "BOUND_VARIABLE_8092" $$unsorted))
% 1.01/1.27  (define @t74 () (tptp.p1 @t73))
% 1.01/1.27  (define @t75 () (@var "BOUND_VARIABLE_8135" $$unsorted))
% 1.01/1.27  (define @t76 () (tptp.p2 @t75))
% 1.01/1.27  (define @t77 () (@var "BOUND_VARIABLE_8365" $$unsorted))
% 1.01/1.27  (define @t78 () (@list @t75))
% 1.01/1.27  (define @t79 () (not (forall @t78 (or (not (tptp.irel @t77 @t75)) @t76))))
% 1.01/1.27  (define @t80 () (@var "BOUND_VARIABLE_8389" $$unsorted))
% 1.01/1.27  (define @t81 () (not (tptp.irel @t80 @t77)))
% 1.01/1.27  (define @t82 () (@var "BOUND_VARIABLE_8355" $$unsorted))
% 1.01/1.27  (define @t83 () (@list @t73))
% 1.01/1.27  (define @t84 () (not (forall @t83 (or (not (tptp.irel @t82 @t73)) @t74))))
% 1.01/1.27  (define @t85 () (not (tptp.irel @t80 @t82)))
% 1.01/1.27  (define @t86 () (@var "BOUND_VARIABLE_8424" $$unsorted))
% 1.01/1.27  (define @t87 () (@list @t80 @t82 @t77))
% 1.01/1.27  (define @t88 () (not (forall @t87 (or (not (tptp.irel @t86 @t80)) @t85 @t84 @t81 @t79))))
% 1.01/1.27  (define @t89 () (not (tptp.irel @t45 @t86)))
% 1.01/1.27  (define @t90 () (@var "BOUND_VARIABLE_8281" $$unsorted))
% 1.01/1.27  (define @t91 () (not (forall @t78 (or (not (tptp.irel @t90 @t75)) @t76))))
% 1.01/1.27  (define @t92 () (not (tptp.irel @t8 @t90)))
% 1.01/1.27  (define @t93 () (@var "BOUND_VARIABLE_8275" $$unsorted))
% 1.01/1.27  (define @t94 () (tptp.p1 @t93))
% 1.01/1.27  (define @t95 () (not (tptp.irel @t8 @t93)))
% 1.01/1.27  (define @t96 () (or @t95 @t94 @t92 @t91))
% 1.01/1.27  (define @t97 () (@var "BOUND_VARIABLE_8268" $$unsorted))
% 1.01/1.27  (define @t98 () (tptp.p2 @t97))
% 1.01/1.27  (define @t99 () (not (tptp.irel @t8 @t97)))
% 1.01/1.27  (define @t100 () (@var "BOUND_VARIABLE_8258" $$unsorted))
% 1.01/1.27  (define @t101 () (not (forall @t83 (or (not (tptp.irel @t100 @t73)) @t74))))
% 1.01/1.27  (define @t102 () (not (tptp.irel @t8 @t100)))
% 1.01/1.27  (define @t103 () (or @t102 @t101 @t99 @t98))
% 1.01/1.27  (define @t104 () (@var "BOUND_VARIABLE_8251" $$unsorted))
% 1.01/1.27  (define @t105 () (tptp.p2 @t104))
% 1.01/1.27  (define @t106 () (not (tptp.irel @t8 @t104)))
% 1.01/1.27  (define @t107 () (@var "BOUND_VARIABLE_8245" $$unsorted))
% 1.01/1.27  (define @t108 () (tptp.p1 @t107))
% 1.01/1.27  (define @t109 () (not (tptp.irel @t8 @t107)))
% 1.01/1.27  (define @t110 () (or @t109 @t108 @t106 @t105))
% 1.01/1.27  (define @t111 () (and @t110 @t103 @t96))
% 1.01/1.27  (define @t112 () (not (tptp.irel @t45 @t8)))
% 1.01/1.27  (define @t113 () (@list @t8 @t107 @t104 @t100 @t97 @t93 @t90))
% 1.01/1.27  (define @t114 () (not (forall @t113 (or @t112 @t111))))
% 1.01/1.27  (define @t115 () (or @t114 @t89 @t88))
% 1.01/1.27  (define @t116 () (@list @t45 @t86))
% 1.01/1.27  (define @t117 () (forall @t116 @t115))
% 1.01/1.27  (define @t118 () (@quantifiers_skolemize @t117 0))
% 1.01/1.27  (define @t119 () (forall @t83 (or (not (tptp.irel @t118 @t73)) @t74)))
% 1.01/1.27  (define @t120 () (@quantifiers_skolemize @t119 0))
% 1.01/1.27  (define @t121 () (tptp.irel @t118 @t120))
% 1.01/1.27  (define @t122 () (tptp.p1 @t120))
% 1.01/1.27  (define @t123 () (not @t121))
% 1.01/1.27  (define @t124 () (or @t123 @t122))
% 1.01/1.27  (define @t125 () (tptp.irel @t1 @t1))
% 1.01/1.27  (define @t126 () (or @t89 @t88))
% 1.01/1.27  (define @t127 () (or @t114 @t126))
% 1.01/1.27  (define @t128 () (forall @t116 @t127))
% 1.01/1.27  (define @t129 () (@list @t86))
% 1.01/1.27  (define @t130 () (forall @t129 @t127))
% 1.01/1.27  (define @t131 () (forall @t129 @t126))
% 1.01/1.27  (define @t132 () (@list @t8))
% 1.01/1.27  (define @t133 () (or @t114 @t131))
% 1.01/1.27  (define @t134 () (not (forall @t87 (or (not (tptp.irel @t8 @t80)) @t85 @t84 @t81 @t79))))
% 1.01/1.27  (define @t135 () (or @t114 (forall @t36 (or @t112 @t134))))
% 1.01/1.27  (define @t136 () (not (tptp.irel @t29 @t8)))
% 1.01/1.27  (define @t137 () (not (forall @t113 (or @t136 @t111))))
% 1.01/1.27  (define @t138 () (@list @t29))
% 1.01/1.27  (define @t139 () (lambda @t138 (or @t137 (forall @t36 (or @t136 @t134)))))
% 1.01/1.27  (define @t140 () (_ @t139 @t45))
% 1.01/1.27  (define @t141 () (forall @t46 @t140))
% 1.01/1.27  (define @t142 () (_ @t58 @t45))
% 1.01/1.27  (define @t143 () (lambda @t61 (forall @t46 @t142)))
% 1.01/1.27  (define @t144 () (not (tptp.irel @t8 @t77)))
% 1.01/1.27  (define @t145 () (not (tptp.irel @t8 @t82)))
% 1.01/1.27  (define @t146 () (or @t136 @t145 @t84 @t144 @t79))
% 1.01/1.27  (define @t147 () (@list @t8 @t82 @t77))
% 1.01/1.27  (define @t148 () (forall @t147 @t146))
% 1.01/1.27  (define @t149 () (not @t148))
% 1.01/1.27  (define @t150 () (lambda @t138 @t149))
% 1.01/1.27  (define @t151 () (or @t136 (_ @t150 @t8)))
% 1.01/1.27  (define @t152 () (forall @t36 @t151))
% 1.01/1.27  (define @t153 () (or @t137 @t152))
% 1.01/1.27  (define @t154 () (lambda @t138 @t153))
% 1.01/1.27  (define @t155 () (_ @t48 @t8))
% 1.01/1.27  (define @t156 () (forall @t36 (or @t136 @t155)))
% 1.01/1.27  (define @t157 () (@list @t48 @t29))
% 1.01/1.27  (define @t158 () (or @t144 @t79))
% 1.01/1.27  (define @t159 () (or @t145 @t84))
% 1.01/1.27  (define @t160 () (or @t136 @t159 @t158))
% 1.01/1.27  (define @t161 () (forall @t147 @t160))
% 1.01/1.27  (define @t162 () (forall (@list @t82 @t77) @t160))
% 1.01/1.27  (define @t163 () (forall (@list @t77) @t158))
% 1.01/1.27  (define @t164 () (@var "BOUND_VARIABLE_8316" $$unsorted))
% 1.01/1.27  (define @t165 () (@list @t164))
% 1.01/1.27  (define @t166 () (forall (@list @t82) @t159))
% 1.01/1.27  (define @t167 () (@var "BOUND_VARIABLE_8328" $$unsorted))
% 1.01/1.27  (define @t168 () (@list @t167))
% 1.01/1.27  (define @t169 () (or @t136 @t166 @t163))
% 1.01/1.27  (define @t170 () (not (forall @t78 (or (not (tptp.irel @t164 @t75)) @t76))))
% 1.01/1.27  (define @t171 () (@list @t164))
% 1.01/1.27  (define @t172 () (forall @t171 (or (not (tptp.irel @t8 @t164)) @t170)))
% 1.01/1.27  (define @t173 () (not (forall @t83 (or (not (tptp.irel @t167 @t73)) @t74))))
% 1.01/1.27  (define @t174 () (@list @t167))
% 1.01/1.27  (define @t175 () (forall @t174 (or (not (tptp.irel @t8 @t167)) @t173)))
% 1.01/1.27  (define @t176 () (or @t136 @t175 @t172))
% 1.01/1.27  (define @t177 () (or @t175 @t172))
% 1.01/1.27  (define @t178 () (not (forall @t78 (or (not (tptp.irel @t8 @t75)) @t76))))
% 1.01/1.27  (define @t179 () (forall @t36 (or @t136 @t178)))
% 1.01/1.27  (define @t180 () (not (forall @t83 (or (not (tptp.irel @t8 @t73)) @t74))))
% 1.01/1.27  (define @t181 () (forall @t36 (or @t136 @t180)))
% 1.01/1.27  (define @t182 () (or @t181 @t179))
% 1.01/1.27  (define @t183 () (lambda @t138 @t182))
% 1.01/1.27  (define @t184 () (or @t136 (_ @t183 @t8)))
% 1.01/1.27  (define @t185 () (forall @t36 @t184))
% 1.01/1.27  (define @t186 () (not @t185))
% 1.01/1.27  (define @t187 () (lambda @t138 @t186))
% 1.01/1.27  (define @t188 () (_ @t34 @t8))
% 1.01/1.27  (define @t189 () (forall @t36 (or @t136 @t188)))
% 1.01/1.27  (define @t190 () (not @t189))
% 1.01/1.27  (define @t191 () (lambda @t41 @t190))
% 1.01/1.27  (define @t192 () (tptp.p2 @t8))
% 1.01/1.27  (define @t193 () (forall @t36 (or @t136 @t192)))
% 1.01/1.27  (define @t194 () (not @t193))
% 1.01/1.27  (define @t195 () (lambda @t138 @t194))
% 1.01/1.27  (define @t196 () (or @t136 (_ @t195 @t8)))
% 1.01/1.27  (define @t197 () (forall @t36 @t196))
% 1.01/1.27  (define @t198 () (or @t181 @t197))
% 1.01/1.27  (define @t199 () (lambda @t138 @t198))
% 1.01/1.27  (define @t200 () (lambda @t157 (or @t181 @t156)))
% 1.01/1.27  (define @t201 () (_ tptp.p2 @t8))
% 1.01/1.27  (define @t202 () (or @t136 @t201))
% 1.01/1.27  (define @t203 () (lambda @t138 (_ tptp.p2 @t29)))
% 1.01/1.27  (define @t204 () (_ @t203 @t8))
% 1.01/1.27  (define @t205 () (or @t136 @t204))
% 1.01/1.27  (define @t206 () (forall @t36 @t205))
% 1.01/1.27  (define @t207 () (not @t206))
% 1.01/1.27  (define @t208 () (lambda @t138 @t207))
% 1.01/1.27  (define @t209 () (_ @t42 tptp.p2))
% 1.01/1.27  (define @t210 () (tptp.p1 @t8))
% 1.01/1.27  (define @t211 () (forall @t36 (or @t136 @t210)))
% 1.01/1.27  (define @t212 () (not @t211))
% 1.01/1.27  (define @t213 () (lambda @t138 @t212))
% 1.01/1.27  (define @t214 () (or @t136 (_ @t213 @t8)))
% 1.01/1.27  (define @t215 () (forall @t36 @t214))
% 1.01/1.27  (define @t216 () (or @t215 @t156))
% 1.01/1.27  (define @t217 () (lambda @t157 @t216))
% 1.01/1.27  (define @t218 () (or @t189 @t156))
% 1.01/1.27  (define @t219 () (lambda @t49 @t218))
% 1.01/1.27  (define @t220 () (_ tptp.p1 @t8))
% 1.01/1.27  (define @t221 () (or @t136 @t220))
% 1.01/1.27  (define @t222 () (lambda @t138 (_ tptp.p1 @t29)))
% 1.01/1.27  (define @t223 () (_ @t222 @t8))
% 1.01/1.27  (define @t224 () (or @t136 @t223))
% 1.01/1.27  (define @t225 () (forall @t36 @t224))
% 1.01/1.27  (define @t226 () (not @t225))
% 1.01/1.27  (define @t227 () (lambda @t138 @t226))
% 1.01/1.27  (define @t228 () (_ @t42 tptp.p1))
% 1.01/1.27  (define @t229 () (or @t92 @t91))
% 1.01/1.27  (define @t230 () (or @t95 @t94))
% 1.01/1.27  (define @t231 () (or @t230 @t229))
% 1.01/1.27  (define @t232 () (or @t99 @t98))
% 1.01/1.27  (define @t233 () (or @t102 @t101))
% 1.01/1.27  (define @t234 () (or @t233 @t232))
% 1.01/1.27  (define @t235 () (or @t106 @t105))
% 1.01/1.27  (define @t236 () (or @t109 @t108))
% 1.01/1.27  (define @t237 () (or @t236 @t235))
% 1.01/1.27  (define @t238 () (and @t237 @t234 @t231))
% 1.01/1.27  (define @t239 () (or @t136 @t238))
% 1.01/1.27  (define @t240 () (forall @t113 @t239))
% 1.01/1.27  (define @t241 () (@list @t107 @t104 @t100 @t97 @t93 @t90))
% 1.01/1.27  (define @t242 () (forall @t241 @t239))
% 1.01/1.27  (define @t243 () (forall (@list @t90) @t229))
% 1.01/1.27  (define @t244 () (@var "BOUND_VARIABLE_8177" $$unsorted))
% 1.01/1.27  (define @t245 () (@list @t244))
% 1.01/1.27  (define @t246 () (forall (@list @t93) @t230))
% 1.01/1.27  (define @t247 () (@var "BOUND_VARIABLE_8189" $$unsorted))
% 1.01/1.27  (define @t248 () (@list @t247))
% 1.01/1.27  (define @t249 () (or @t246 @t243))
% 1.01/1.27  (define @t250 () (forall (@list @t93 @t90) @t231))
% 1.01/1.27  (define @t251 () (forall @t241 @t231))
% 1.01/1.27  (define @t252 () (forall (@list @t97) @t232))
% 1.01/1.27  (define @t253 () (@var "BOUND_VARIABLE_8198" $$unsorted))
% 1.01/1.27  (define @t254 () (@list @t253))
% 1.01/1.27  (define @t255 () (forall (@list @t100) @t233))
% 1.01/1.27  (define @t256 () (@var "BOUND_VARIABLE_8206" $$unsorted))
% 1.01/1.27  (define @t257 () (@list @t256))
% 1.01/1.27  (define @t258 () (or @t255 @t252))
% 1.01/1.27  (define @t259 () (forall (@list @t100 @t97) @t234))
% 1.01/1.27  (define @t260 () (forall @t241 @t234))
% 1.01/1.27  (define @t261 () (forall (@list @t104) @t235))
% 1.01/1.27  (define @t262 () (forall (@list @t107) @t236))
% 1.01/1.27  (define @t263 () (or @t262 @t261))
% 1.01/1.27  (define @t264 () (forall (@list @t107 @t104) @t237))
% 1.01/1.27  (define @t265 () (forall @t241 @t237))
% 1.01/1.27  (define @t266 () (and @t265 @t260 @t251))
% 1.01/1.27  (define @t267 () (forall @t241 @t238))
% 1.01/1.27  (define @t268 () (or @t136 @t267))
% 1.01/1.27  (define @t269 () (not (forall @t78 (or (not (tptp.irel @t244 @t75)) @t76))))
% 1.01/1.27  (define @t270 () (@list @t244))
% 1.01/1.27  (define @t271 () (tptp.p1 @t247))
% 1.01/1.27  (define @t272 () (@list @t247))
% 1.01/1.27  (define @t273 () (forall @t272 (or (not (tptp.irel @t8 @t247)) @t271)))
% 1.01/1.27  (define @t274 () (tptp.p2 @t253))
% 1.01/1.27  (define @t275 () (@list @t253))
% 1.01/1.27  (define @t276 () (forall @t275 (or (not (tptp.irel @t8 @t253)) @t274)))
% 1.01/1.27  (define @t277 () (not (forall @t83 (or (not (tptp.irel @t256 @t73)) @t74))))
% 1.01/1.27  (define @t278 () (@list @t256))
% 1.01/1.27  (define @t279 () (and (or @t273 @t276) (or (forall @t278 (or (not (tptp.irel @t8 @t256)) @t277)) @t276) (or @t273 (forall @t270 (or (not (tptp.irel @t8 @t244)) @t269)))))
% 1.01/1.27  (define @t280 () (forall @t272 (or (not (tptp.irel @t29 @t247)) @t271)))
% 1.01/1.27  (define @t281 () (forall @t275 (or (not (tptp.irel @t29 @t253)) @t274)))
% 1.01/1.27  (define @t282 () (or @t211 @t179))
% 1.01/1.27  (define @t283 () (or @t181 @t193))
% 1.01/1.27  (define @t284 () (or @t211 @t193))
% 1.01/1.27  (define @t285 () (and @t284 @t283 @t282))
% 1.01/1.27  (define @t286 () (lambda @t138 @t285))
% 1.01/1.27  (define @t287 () (or @t136 (_ @t286 @t8)))
% 1.01/1.27  (define @t288 () (forall @t36 @t287))
% 1.01/1.27  (define @t289 () (not @t288))
% 1.01/1.27  (define @t290 () (or @t289 @t156))
% 1.01/1.27  (define @t291 () (lambda @t157 @t290))
% 1.01/1.27  (define @t292 () (or @t190 @t156))
% 1.01/1.27  (define @t293 () (lambda @t49 @t292))
% 1.01/1.27  (define @t294 () (and @t283 @t282))
% 1.01/1.27  (define @t295 () (lambda @t138 @t294))
% 1.01/1.27  (define @t296 () (_ @t295 @t29))
% 1.01/1.27  (define @t297 () (and @t284 @t296))
% 1.01/1.27  (define @t298 () (lambda @t138 @t297))
% 1.01/1.27  (define @t299 () (_ @t48 @t29))
% 1.01/1.27  (define @t300 () (lambda @t138 @t282))
% 1.01/1.27  (define @t301 () (_ @t300 @t29))
% 1.01/1.27  (define @t302 () (and @t283 @t301))
% 1.01/1.27  (define @t303 () (lambda @t138 @t302))
% 1.01/1.27  (define @t304 () (or @t211 @t197))
% 1.01/1.27  (define @t305 () (lambda @t138 @t304))
% 1.01/1.27  (define @t306 () (lambda @t157 (or @t211 @t156)))
% 1.01/1.27  (define @t307 () (or @t225 @t156))
% 1.01/1.27  (define @t308 () (lambda @t157 @t307))
% 1.01/1.27  (define @t309 () (lambda @t138 @t283))
% 1.01/1.27  (define @t310 () (_ @t309 @t29))
% 1.01/1.27  (define @t311 () (and @t310 @t299))
% 1.01/1.27  (define @t312 () (lambda @t157 @t311))
% 1.01/1.27  (define @t313 () (and @t40 @t299))
% 1.01/1.27  (define @t314 () (lambda @t49 @t313))
% 1.01/1.27  (define @t315 () (or @t181 @t206))
% 1.01/1.27  (define @t316 () (lambda @t138 @t315))
% 1.01/1.27  (define @t317 () (lambda @t138 @t284))
% 1.01/1.27  (define @t318 () (_ @t317 @t29))
% 1.01/1.27  (define @t319 () (and @t318 @t299))
% 1.01/1.27  (define @t320 () (lambda @t157 @t319))
% 1.01/1.27  (define @t321 () (or @t211 @t206))
% 1.01/1.27  (define @t322 () (lambda @t138 @t321))
% 1.01/1.27  (define @t323 () (_ @t191 @t209))
% 1.01/1.27  (define @t324 () (_ @t219 (_ @t191 @t228)))
% 1.01/1.27  (define @t325 () (_ @t219 @t228))
% 1.01/1.27  (define @t326 () (not (tptp.irel @t20 @t8)))
% 1.01/1.27  (define @t327 () (forall @t36 (or @t326 @t188)))
% 1.01/1.27  (define @t328 () (@list @t20))
% 1.01/1.27  (define @t329 () (not @t70))
% 1.01/1.27  (define @t330 () (forall @t36 (or @t329 @t188)))
% 1.01/1.27  (define @t331 () (lambda @t4 @t330))
% 1.01/1.27  (define @t332 () (_ @t331 @t20))
% 1.01/1.27  (define @t333 () (not @t332))
% 1.01/1.27  (define @t334 () (lambda @t328 @t333))
% 1.01/1.27  (define @t335 () (lambda @t38 @t330))
% 1.01/1.27  (define @t336 () (or @t71 @t35))
% 1.01/1.27  (define @t337 () (forall @t36 (or @t326 @t155)))
% 1.01/1.27  (define @t338 () (lambda @t4 (forall @t36 (or @t329 @t155))))
% 1.01/1.27  (define @t339 () (_ @t338 @t20))
% 1.01/1.27  (define @t340 () (or @t327 @t339))
% 1.01/1.27  (define @t341 () (lambda @t328 @t340))
% 1.01/1.27  (define @t342 () (@list @t24 @t20))
% 1.01/1.27  (define @t343 () (or @t332 @t25))
% 1.01/1.27  (define @t344 () (lambda @t342 @t343))
% 1.01/1.27  (define @t345 () (_ @t34 @t20))
% 1.01/1.27  (define @t346 () (lambda @t328 (and @t345 (_ @t48 @t20))))
% 1.01/1.27  (define @t347 () (lambda @t342 (and @t345 @t25)))
% 1.01/1.27  (define @t348 () (_ @t338 @t29))
% 1.01/1.27  (define @t349 () (or @t190 @t348))
% 1.01/1.27  (define @t350 () (lambda @t138 @t349))
% 1.01/1.27  (define @t351 () (_ @t30 @t29))
% 1.01/1.27  (define @t352 () (@list @t30 @t29))
% 1.01/1.27  (define @t353 () (_ @t331 @t29))
% 1.01/1.27  (define @t354 () (not @t353))
% 1.01/1.27  (define @t355 () (or @t354 @t351))
% 1.01/1.27  (define @t356 () (lambda @t352 @t355))
% 1.01/1.27  (define @t357 () (or (not (_ @t31 @t29)) @t351))
% 1.01/1.27  (define @t358 () (lambda @t32 @t357))
% 1.01/1.27  (define @t359 () (not (_ @t31 @t20)))
% 1.01/1.27  (define @t360 () (lambda @t328 (or @t359 (_ @t30 @t20))))
% 1.01/1.27  (define @t361 () (lambda @t328 @t359))
% 1.01/1.27  (define @t362 () (_ @t361 @t20))
% 1.01/1.27  (define @t363 () (or @t362 @t25))
% 1.01/1.27  (define @t364 () (lambda @t342 @t363))
% 1.01/1.27  (define @t365 () (forall @t113 (or (not (tptp.irel @t118 @t8)) @t111)))
% 1.01/1.27  (define @t366 () (@quantifiers_skolemize @t117 1))
% 1.01/1.27  (define @t367 () (forall @t87 (or (not (tptp.irel @t366 @t80)) @t85 @t84 @t81 @t79)))
% 1.01/1.27  (define @t368 () (not @t367))
% 1.01/1.27  (define @t369 () (tptp.irel @t118 @t366))
% 1.01/1.27  (define @t370 () (not @t369))
% 1.01/1.27  (define @t371 () (not @t365))
% 1.01/1.27  (define @t372 () (or @t371 @t370 @t368))
% 1.01/1.27  (define @t373 () (@list true))
% 1.01/1.27  (define @t374 () (@list @t372))
% 1.01/1.27  (define @t375 () (forall @t78 (or (not (tptp.irel @t118 @t75)) @t76)))
% 1.01/1.27  (define @t376 () (not @t375))
% 1.01/1.27  (define @t377 () (tptp.irel @t118 @t118))
% 1.01/1.27  (define @t378 () (not @t377))
% 1.01/1.27  (define @t379 () (or @t123 @t122 @t378 @t376))
% 1.01/1.27  (define @t380 () (tptp.p2 @t366))
% 1.01/1.27  (define @t381 () (forall @t83 (or (not (tptp.irel @t366 @t73)) @t74)))
% 1.01/1.27  (define @t382 () (not @t381))
% 1.01/1.27  (define @t383 () (or @t370 @t382 @t370 @t380))
% 1.01/1.27  (define @t384 () (tptp.p1 @t366))
% 1.01/1.27  (define @t385 () (and (or @t370 @t384 @t370 @t380) @t383 @t379))
% 1.01/1.27  (define @t386 () (or @t378 @t385))
% 1.01/1.27  (define @t387 () (@list false false))
% 1.01/1.27  (define @t388 () (@list false))
% 1.01/1.27  (define @t389 () (@quantifiers_skolemize @t375 0))
% 1.01/1.27  (define @t390 () (tptp.p2 @t389))
% 1.01/1.27  (define @t391 () (tptp.irel @t118 @t389))
% 1.01/1.27  (define @t392 () (not @t391))
% 1.01/1.27  (define @t393 () (or @t392 @t390))
% 1.01/1.27  (define @t394 () (not @t393))
% 1.01/1.27  (define @t395 () (forall @t78 (or (not (tptp.irel @t366 @t75)) @t76)))
% 1.01/1.27  (define @t396 () (not @t395))
% 1.01/1.27  (define @t397 () (or @t370 @t384 @t370 @t396))
% 1.01/1.27  (define @t398 () (or @t123 @t122 @t392 @t390))
% 1.01/1.27  (define @t399 () (and @t398 @t383 @t397))
% 1.01/1.27  (define @t400 () (or @t378 @t399))
% 1.01/1.27  (define @t401 () (not @t124))
% 1.01/1.27  (define @t402 () (not @t119))
% 1.01/1.27  (define @t403 () (@quantifiers_skolemize @t395 0))
% 1.01/1.27  (define @t404 () (forall @t83 (or (not (tptp.irel @t403 @t73)) @t74)))
% 1.01/1.27  (define @t405 () (@quantifiers_skolemize @t404 0))
% 1.01/1.27  (define @t406 () (tptp.p1 @t405))
% 1.01/1.27  (define @t407 () (tptp.irel @t118 @t405))
% 1.01/1.27  (define @t408 () (not @t407))
% 1.01/1.27  (define @t409 () (or @t408 @t406))
% 1.01/1.27  (define @t410 () (@quantifiers_skolemize @t381 0))
% 1.01/1.27  (define @t411 () (not (tptp.irel @t366 @t118)))
% 1.01/1.27  (define @t412 () (tptp.p2 @t403))
% 1.01/1.27  (define @t413 () (tptp.irel @t366 @t403))
% 1.01/1.27  (define @t414 () (not @t413))
% 1.01/1.27  (define @t415 () (not @t404))
% 1.01/1.27  (define @t416 () (or @t414 @t415 @t414 @t412))
% 1.01/1.27  (define @t417 () (tptp.p2 @t410))
% 1.01/1.27  (define @t418 () (tptp.irel @t366 @t410))
% 1.01/1.27  (define @t419 () (not @t418))
% 1.01/1.27  (define @t420 () (tptp.p1 @t410))
% 1.01/1.27  (define @t421 () (or @t419 @t420 @t419 @t417))
% 1.01/1.27  (define @t422 () (and @t421 @t416 (or @t411 (tptp.p1 @t118) @t411 @t376)))
% 1.01/1.27  (define @t423 () (or @t370 @t422))
% 1.01/1.27  (define @t424 () (or @t419 @t420))
% 1.01/1.27  (define @t425 () (tptp.irel @t118 @t410))
% 1.01/1.27  (define @t426 () (or @t370 @t419 @t425))
% 1.01/1.27  (define @t427 () (forall @t78 (or (not (tptp.irel @t410 @t75)) @t76)))
% 1.01/1.27  (define @t428 () (not @t427))
% 1.01/1.27  (define @t429 () (or @t419 @t420 @t419 @t428))
% 1.01/1.27  (define @t430 () (and @t421 (or @t419 (not (forall @t83 (or (not (tptp.irel @t410 @t73)) @t74))) @t419 @t417) @t429))
% 1.01/1.27  (define @t431 () (or @t370 @t430))
% 1.01/1.27  (define @t432 () (@quantifiers_skolemize @t427 0))
% 1.01/1.27  (define @t433 () (tptp.p2 @t432))
% 1.01/1.27  (define @t434 () (tptp.irel @t410 @t432))
% 1.01/1.27  (define @t435 () (not @t434))
% 1.01/1.27  (define @t436 () (or @t435 @t433))
% 1.01/1.27  (define @t437 () (not @t436))
% 1.01/1.27  (define @t438 () (tptp.irel @t118 @t432))
% 1.01/1.27  (define @t439 () (not @t425))
% 1.01/1.27  (define @t440 () (or @t439 @t435 @t438))
% 1.01/1.27  (define @t441 () (not @t438))
% 1.01/1.27  (define @t442 () (or @t439 @t420 @t441 @t433))
% 1.01/1.27  (define @t443 () (and @t442 @t383 @t397))
% 1.01/1.27  (define @t444 () (or @t378 @t443))
% 1.01/1.27  (define @t445 () (not @t424))
% 1.01/1.27  (define @t446 () (tptp.irel @t366 @t366))
% 1.01/1.27  (define @t447 () (not @t446))
% 1.01/1.27  (define @t448 () (or @t447 @t447 @t382 @t447 @t396))
% 1.01/1.27  (define @t449 () (@list false false false))
% 1.01/1.27  (define @t450 () (or @t414 @t412))
% 1.01/1.27  (define @t451 () (not @t450))
% 1.01/1.27  (define @t452 () (@list @t450))
% 1.01/1.27  (define @t453 () (tptp.irel @t403 @t405))
% 1.01/1.27  (define @t454 () (not @t453))
% 1.01/1.27  (define @t455 () (or @t454 @t406))
% 1.01/1.27  (define @t456 () (not @t455))
% 1.01/1.27  (define @t457 () (@list @t455))
% 1.01/1.27  (define @t458 () (@list true false))
% 1.01/1.27  (define @t459 () (tptp.irel @t118 @t403))
% 1.01/1.27  (define @t460 () (or @t370 @t414 @t459))
% 1.01/1.27  (define @t461 () (not @t459))
% 1.01/1.27  (define @t462 () (or @t461 @t454 @t407))
% 1.01/1.27  (define @t463 () (not @t462))
% 1.01/1.27  (define @t464 () (forall @t12 (or @t329 (not @t68) @t67)))
% 1.01/1.27  (assume @p1 @t5)
% 1.01/1.27  (assume @p2 @t13)
% 1.01/1.27  (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue)))
% 1.01/1.27  (assume @p4 @t19)
% 1.01/1.27  (assume @p5 true)
% 1.01/1.27  (step @p6 (= tptp.mnot @t23) :rule refl :args (@t23))
% 1.01/1.27  (step @p7 (= tptp.mor @t27) :rule refl :args (@t27))
% 1.01/1.27  (step @p8 (= tptp.mand @t28) :rule refl :args (@t28))
% 1.01/1.27  (step @p9 (= tptp.mimplies @t33) :rule refl :args (@t33))
% 1.01/1.27  (step @p10 (= tptp.mbox_s4 @t39) :rule refl :args (@t39))
% 1.01/1.27  (step @p11 (= tptp.iatom @t42) :rule refl :args (@t42))
% 1.01/1.27  (step @p12 (= tptp.inot @t44) :rule refl :args (@t44))
% 1.01/1.27  (step @p13 (= tptp.itrue @t47) :rule refl :args (@t47))
% 1.01/1.27  (step @p14 (= tptp.iand @t50) :rule refl :args (@t50))
% 1.01/1.27  (step @p15 (= tptp.ior @t52) :rule refl :args (@t52))
% 1.01/1.27  (step @p16 (= tptp.iimplies @t53) :rule refl :args (@t53))
% 1.01/1.27  (step @p17 (= tptp.iimplied @t55) :rule refl :args (@t55))
% 1.01/1.27  (step @p18 (= tptp.iequiv @t56) :rule refl :args (@t56))
% 1.01/1.27  (step @p19 (= tptp.ixor @t57) :rule refl :args (@t57))
% 1.01/1.27  (step @p20 (= tptp.ivalid @t62) :rule refl :args (@t62))
% 1.01/1.27  (step @p21 (= tptp.isatisfiable @t63) :rule refl :args (@t63))
% 1.01/1.27  (step @p22 (= tptp.icountersatisfiable @t65) :rule refl :args (@t65))
% 1.01/1.27  (step @p23 (= tptp.iinvalid @t66) :rule refl :args (@t66))
% 1.01/1.27  (step @p24 :rule refl :args (@t67))
% 1.01/1.27  (step @p25 :rule refl :args (@t7))
% 1.01/1.27  (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t7 @t67)))
% 1.01/1.27  (step @p27 :rule symm :premises (@p26))
% 1.01/1.27  (step @p28 :rule eq_resolve :premises (@p25 @p27))
% 1.01/1.27  (step @p29 :rule refl :args (@t68))
% 1.01/1.27  (step @p30 :rule refl :args (@t9))
% 1.01/1.27  (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t9 @t68)))
% 1.01/1.27  (step @p32 :rule symm :premises (@p31))
% 1.01/1.27  (step @p33 :rule eq_resolve :premises (@p30 @p32))
% 1.01/1.27  (step @p34 :rule cong :premises (@p33) :args (@t69))
% 1.01/1.27  (step @p35 :rule refl :args (@t70))
% 1.01/1.27  (step @p36 :rule refl :args (@t10))
% 1.01/1.27  (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t10 @t70)))
% 1.01/1.27  (step @p38 :rule symm :premises (@p37))
% 1.01/1.27  (step @p39 :rule eq_resolve :premises (@p36 @p38))
% 1.01/1.27  (step @p40 :rule cong :premises (@p39) :args (@t71))
% 1.01/1.27  (step @p41 :rule nary_cong :premises (@p40 @p34 @p28) :args (@t72))
% 1.01/1.27  (step @p42 :rule cong :premises (@p41) :args ((forall @t12 @t72)))
% 1.01/1.27  (step @p43 :rule aci_norm :args ((= (or (or @t71 @t69) @t7) @t72)))
% 1.01/1.27  (step @p44 :rule bool-and-de-morgan :args (@t10 @t9 true))
% 1.01/1.27  (step @p45 :rule nary_cong :premises (@p44 @p25) :args ((or (not @t11) @t7)))
% 1.01/1.27  (step @p46 :rule trans :premises (@p45 @p43))
% 1.01/1.27  (step @p47 :rule bool-impl-elim :args (@t11 @t7))
% 1.01/1.27  (step @p48 :rule trans :premises (@p47 @p46))
% 1.01/1.27  (step @p49 :rule cong :premises (@p48) :args (@t13))
% 1.01/1.27  (step @p50 :rule trans :premises (@p49 @p42))
% 1.01/1.27  (step @p51 :rule eq_resolve :premises (@p2 @p50))
% 1.01/1.27  (step @p52 :rule bool-double-not-elim :args (@t121))
% 1.01/1.27  (step @p53 :rule refl :args (@t124))
% 1.01/1.27  (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t124 (not @t123))))
% 1.01/1.27  (step @p55 :rule cnf_or_neg :args (@t124 0))
% 1.01/1.27  (step @p56 :rule eq_resolve :premises (@p55 @p54))
% 1.01/1.27  (step @p57 :rule reordering :premises (@p56) :args ((or @t121 @t124)))
% 1.01/1.27  (step @p58 :rule cnf_or_neg :args (@t124 1))
% 1.01/1.27  (step @p59 :rule refl :args (@t125))
% 1.01/1.27  (step @p60 :rule refl :args (@t3))
% 1.01/1.27  (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t3 @t125)))
% 1.01/1.27  (step @p62 :rule symm :premises (@p61))
% 1.01/1.27  (step @p63 :rule eq_resolve :premises (@p60 @p62))
% 1.01/1.27  (step @p64 :rule cong :premises (@p63) :args (@t5))
% 1.01/1.27  (step @p65 :rule eq_resolve :premises (@p1 @p64))
% 1.01/1.27  (step @p66 :rule instantiate :premises (@p65) :args ((@list @t118)))
% 1.01/1.27  (step @p67 :rule aci_norm :args ((= @t127 @t115)))
% 1.01/1.27  (step @p68 :rule cong :premises (@p67) :args (@t128))
% 1.01/1.27  (step @p69 :rule quant-merge-prenex :args ((= (forall @t46 @t130) @t128)))
% 1.01/1.27  (step @p70 :rule alpha_equiv :args (@t131 (@list @t86) @t132))
% 1.01/1.27  (step @p71 :rule refl :args (@t114))
% 1.01/1.27  (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t133))
% 1.01/1.27  (step @p73 :rule quant-miniscope-or :args ((= @t130 @t133)))
% 1.01/1.27  (step @p74 :rule trans :premises (@p73 @p72))
% 1.01/1.27  (step @p75 :rule symm :premises (@p74))
% 1.01/1.27  (step @p76 :rule cong :premises (@p75) :args ((forall @t46 @t135)))
% 1.01/1.27  (step @p77 :rule trans :premises (@p76 @p69))
% 1.01/1.27  (step @p78 :rule trans :premises (@p77 @p68))
% 1.01/1.27  (step @p79 :rule beta-reduce :args ((= @t140 @t135)))
% 1.01/1.27  (step @p80 :rule cong :premises (@p79) :args (@t141))
% 1.01/1.27  (step @p81 :rule trans :premises (@p80 @p78))
% 1.01/1.27  (step @p82 :rule beta-reduce :args ((= (_ @t143 @t139) @t141)))
% 1.01/1.27  (step @p83 :rule trans :premises (@p82 @p81))
% 1.01/1.27  (step @p84 :rule beta-reduce :args ((= (_ (lambda @t138 (not (forall @t87 (or (not (tptp.irel @t29 @t80)) @t85 @t84 @t81 @t79)))) @t8) @t134)))
% 1.01/1.27  (step @p85 :rule refl :args (@t8))
% 1.01/1.27  (step @p86 :rule alpha_equiv :args (@t148 @t132 (@list @t80)))
% 1.01/1.27  (step @p87 :rule cong :premises (@p86) :args (@t149))
% 1.01/1.27  (step @p88 :rule cong :premises (@p87) :args (@t150))
% 1.01/1.27  (step @p89 :rule ho_cong :premises (@p88 @p85))
% 1.01/1.27  (step @p90 :rule trans :premises (@p89 @p84))
% 1.01/1.27  (step @p91 :rule refl :args (@t136))
% 1.01/1.27  (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t151))
% 1.01/1.27  (step @p93 :rule cong :premises (@p92) :args (@t152))
% 1.01/1.27  (step @p94 :rule refl :args (@t137))
% 1.01/1.27  (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t153))
% 1.01/1.27  (step @p96 :rule cong :premises (@p95) :args (@t154))
% 1.01/1.27  (step @p97 :rule beta-reduce :args ((= (_ (lambda @t157 (or @t137 @t156)) @t150) @t154)))
% 1.01/1.27  (step @p98 :rule trans :premises (@p97 @p96))
% 1.01/1.27  (step @p99 :rule aci_norm :args ((= @t160 @t146)))
% 1.01/1.27  (step @p100 :rule cong :premises (@p99) :args (@t161))
% 1.01/1.27  (step @p101 :rule quant-merge-prenex :args ((= (forall @t36 @t162) @t161)))
% 1.01/1.27  (step @p102 :rule alpha_equiv :args (@t163 (@list @t77) @t165))
% 1.01/1.27  (step @p103 :rule alpha_equiv :args (@t166 (@list @t82) @t168))
% 1.01/1.27  (step @p104 :rule refl :args (@t136))
% 1.01/1.27  (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t169))
% 1.01/1.27  (step @p106 :rule quant-miniscope-or :args ((= @t162 @t169)))
% 1.01/1.27  (step @p107 :rule trans :premises (@p106 @p105))
% 1.01/1.27  (step @p108 :rule symm :premises (@p107))
% 1.01/1.27  (step @p109 :rule cong :premises (@p108) :args ((forall @t36 @t176)))
% 1.01/1.27  (step @p110 :rule trans :premises (@p109 @p101))
% 1.01/1.27  (step @p111 :rule trans :premises (@p110 @p100))
% 1.01/1.27  (step @p112 :rule aci_norm :args ((= (or @t136 @t177) @t176)))
% 1.01/1.27  (step @p113 :rule beta-reduce :args ((= (_ (lambda @t138 (or (forall @t174 (or (not (tptp.irel @t29 @t167)) @t173)) (forall @t171 (or (not (tptp.irel @t29 @t164)) @t170)))) @t8) @t177)))
% 1.01/1.27  (step @p114 :rule alpha_equiv :args (@t179 @t132 @t165))
% 1.01/1.27  (step @p115 :rule alpha_equiv :args (@t181 @t132 @t168))
% 1.01/1.27  (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t182))
% 1.01/1.27  (step @p117 :rule cong :premises (@p116) :args (@t183))
% 1.01/1.27  (step @p118 :rule ho_cong :premises (@p117 @p85))
% 1.01/1.27  (step @p119 :rule trans :premises (@p118 @p113))
% 1.01/1.27  (step @p120 :rule nary_cong :premises (@p91 @p119) :args (@t184))
% 1.01/1.27  (step @p121 :rule trans :premises (@p120 @p112))
% 1.01/1.27  (step @p122 :rule cong :premises (@p121) :args (@t185))
% 1.01/1.27  (step @p123 :rule trans :premises (@p122 @p111))
% 1.01/1.27  (step @p124 :rule cong :premises (@p123) :args (@t186))
% 1.01/1.27  (step @p125 :rule cong :premises (@p124) :args (@t187))
% 1.01/1.27  (step @p126 :rule beta-reduce :args ((= (_ @t191 @t183) @t187)))
% 1.01/1.27  (step @p127 :rule trans :premises (@p126 @p125))
% 1.01/1.27  (step @p128 :rule beta-reduce :args ((= (_ (lambda @t138 (not (forall @t78 (or (not (tptp.irel @t29 @t75)) @t76)))) @t8) @t178)))
% 1.01/1.27  (step @p129 :rule alpha_equiv :args (@t193 @t132 (@list @t75)))
% 1.01/1.27  (step @p130 :rule cong :premises (@p129) :args (@t194))
% 1.01/1.27  (step @p131 :rule cong :premises (@p130) :args (@t195))
% 1.01/1.27  (step @p132 :rule ho_cong :premises (@p131 @p85))
% 1.01/1.27  (step @p133 :rule trans :premises (@p132 @p128))
% 1.01/1.27  (step @p134 :rule nary_cong :premises (@p91 @p133) :args (@t196))
% 1.01/1.27  (step @p135 :rule cong :premises (@p134) :args (@t197))
% 1.01/1.27  (step @p136 :rule refl :args (@t181))
% 1.01/1.27  (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t198))
% 1.01/1.27  (step @p138 :rule cong :premises (@p137) :args (@t199))
% 1.01/1.27  (step @p139 :rule beta-reduce :args ((= (_ @t200 @t195) @t199)))
% 1.01/1.27  (step @p140 :rule trans :premises (@p139 @p138))
% 1.01/1.27  (step @p141 :rule refl :args (@t192))
% 1.01/1.27  (step @p142 :rule refl :args (@t201))
% 1.01/1.27  (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t201 @t192)))
% 1.01/1.27  (step @p144 :rule symm :premises (@p143))
% 1.01/1.27  (step @p145 :rule eq_resolve :premises (@p142 @p144))
% 1.01/1.27  (step @p146 :rule nary_cong :premises (@p104 @p145) :args (@t202))
% 1.01/1.27  (step @p147 :rule cong :premises (@p146) :args ((forall @t36 @t202)))
% 1.01/1.27  (step @p148 :rule beta-reduce :args ((= @t204 @t201)))
% 1.01/1.27  (step @p149 :rule nary_cong :premises (@p91 @p148) :args (@t205))
% 1.01/1.27  (step @p150 :rule cong :premises (@p149) :args (@t206))
% 1.01/1.27  (step @p151 :rule trans :premises (@p150 @p147))
% 1.01/1.27  (step @p152 :rule cong :premises (@p151) :args (@t207))
% 1.01/1.27  (step @p153 :rule cong :premises (@p152) :args (@t208))
% 1.01/1.27  (step @p154 :rule beta-reduce :args ((= (_ @t191 @t203) @t208)))
% 1.01/1.27  (step @p155 :rule trans :premises (@p154 @p153))
% 1.01/1.27  (step @p156 :rule beta-reduce :args ((= @t209 @t203)))
% 1.01/1.27  (step @p157 :rule refl :args (@t191))
% 1.01/1.27  (step @p158 :rule ho_cong :premises (@p157 @p156))
% 1.01/1.27  (step @p159 :rule trans :premises (@p158 @p155))
% 1.01/1.27  (step @p160 :rule refl :args (@t156))
% 1.01/1.27  (step @p161 :rule beta-reduce :args ((= (_ (lambda @t138 (not (forall @t83 (or (not (tptp.irel @t29 @t73)) @t74)))) @t8) @t180)))
% 1.01/1.27  (step @p162 :rule alpha_equiv :args (@t211 @t132 (@list @t73)))
% 1.01/1.27  (step @p163 :rule cong :premises (@p162) :args (@t212))
% 1.01/1.27  (step @p164 :rule cong :premises (@p163) :args (@t213))
% 1.01/1.27  (step @p165 :rule ho_cong :premises (@p164 @p85))
% 1.01/1.27  (step @p166 :rule trans :premises (@p165 @p161))
% 1.01/1.27  (step @p167 :rule nary_cong :premises (@p91 @p166) :args (@t214))
% 1.01/1.27  (step @p168 :rule cong :premises (@p167) :args (@t215))
% 1.01/1.27  (step @p169 :rule nary_cong :premises (@p168 @p160) :args (@t216))
% 1.01/1.27  (step @p170 :rule cong :premises (@p169) :args (@t217))
% 1.01/1.27  (step @p171 :rule beta-reduce :args ((= (_ @t219 @t213) @t217)))
% 1.01/1.27  (step @p172 :rule trans :premises (@p171 @p170))
% 1.01/1.27  (step @p173 :rule refl :args (@t210))
% 1.01/1.27  (step @p174 :rule refl :args (@t220))
% 1.01/1.27  (step @p175 :rule cong :premises (@p174 @p173) :args ((= @t220 @t210)))
% 1.01/1.27  (step @p176 :rule symm :premises (@p175))
% 1.01/1.27  (step @p177 :rule eq_resolve :premises (@p174 @p176))
% 1.01/1.27  (step @p178 :rule nary_cong :premises (@p104 @p177) :args (@t221))
% 1.01/1.27  (step @p179 :rule cong :premises (@p178) :args ((forall @t36 @t221)))
% 1.01/1.27  (step @p180 :rule beta-reduce :args ((= @t223 @t220)))
% 1.01/1.27  (step @p181 :rule nary_cong :premises (@p91 @p180) :args (@t224))
% 1.01/1.27  (step @p182 :rule cong :premises (@p181) :args (@t225))
% 1.01/1.27  (step @p183 :rule trans :premises (@p182 @p179))
% 1.01/1.27  (step @p184 :rule cong :premises (@p183) :args (@t226))
% 1.01/1.27  (step @p185 :rule cong :premises (@p184) :args (@t227))
% 1.01/1.27  (step @p186 :rule beta-reduce :args ((= (_ @t191 @t222) @t227)))
% 1.01/1.27  (step @p187 :rule trans :premises (@p186 @p185))
% 1.01/1.27  (step @p188 :rule beta-reduce :args ((= @t228 @t222)))
% 1.01/1.27  (step @p189 :rule ho_cong :premises (@p157 @p188))
% 1.01/1.27  (step @p190 :rule trans :premises (@p189 @p187))
% 1.01/1.27  (step @p191 :rule refl :args (@t219))
% 1.01/1.27  (step @p192 :rule ho_cong :premises (@p191 @p190))
% 1.01/1.27  (step @p193 :rule trans :premises (@p192 @p172))
% 1.01/1.27  (step @p194 :rule ho_cong :premises (@p193 @p159))
% 1.01/1.27  (step @p195 :rule trans :premises (@p194 @p140))
% 1.01/1.27  (step @p196 :rule ho_cong :premises (@p157 @p195))
% 1.01/1.27  (step @p197 :rule trans :premises (@p196 @p127))
% 1.01/1.27  (step @p198 :rule aci_norm :args ((= @t231 @t96)))
% 1.01/1.27  (step @p199 :rule aci_norm :args ((= @t234 @t103)))
% 1.01/1.27  (step @p200 :rule aci_norm :args ((= @t237 @t110)))
% 1.01/1.27  (step @p201 :rule nary_cong :premises (@p200 @p199 @p198) :args (@t238))
% 1.01/1.27  (step @p202 :rule nary_cong :premises (@p91 @p201) :args (@t239))
% 1.01/1.27  (step @p203 :rule cong :premises (@p202) :args (@t240))
% 1.01/1.27  (step @p204 :rule quant-merge-prenex :args ((= (forall @t36 @t242) @t240)))
% 1.01/1.27  (step @p205 :rule alpha_equiv :args (@t243 (@list @t90) @t245))
% 1.01/1.27  (step @p206 :rule alpha_equiv :args (@t246 (@list @t93) @t248))
% 1.01/1.27  (step @p207 :rule nary_cong :premises (@p206 @p205) :args (@t249))
% 1.01/1.27  (step @p208 :rule quant-miniscope-or :args ((= @t250 @t249)))
% 1.01/1.27  (step @p209 :rule quant-unused-vars :args ((= @t251 @t250)))
% 1.01/1.27  (step @p210 :rule trans :premises (@p209 @p208))
% 1.01/1.27  (step @p211 :rule trans :premises (@p210 @p207))
% 1.01/1.27  (step @p212 :rule alpha_equiv :args (@t252 (@list @t97) @t254))
% 1.01/1.27  (step @p213 :rule alpha_equiv :args (@t255 (@list @t100) @t257))
% 1.01/1.27  (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t258))
% 1.01/1.27  (step @p215 :rule quant-miniscope-or :args ((= @t259 @t258)))
% 1.01/1.27  (step @p216 :rule quant-unused-vars :args ((= @t260 @t259)))
% 1.01/1.27  (step @p217 :rule trans :premises (@p216 @p215))
% 1.01/1.27  (step @p218 :rule trans :premises (@p217 @p214))
% 1.01/1.27  (step @p219 :rule alpha_equiv :args (@t261 (@list @t104) @t254))
% 1.01/1.27  (step @p220 :rule alpha_equiv :args (@t262 (@list @t107) @t248))
% 1.01/1.27  (step @p221 :rule nary_cong :premises (@p220 @p219) :args (@t263))
% 1.01/1.27  (step @p222 :rule quant-miniscope-or :args ((= @t264 @t263)))
% 1.01/1.27  (step @p223 :rule quant-unused-vars :args ((= @t265 @t264)))
% 1.01/1.27  (step @p224 :rule trans :premises (@p223 @p222))
% 1.01/1.27  (step @p225 :rule trans :premises (@p224 @p221))
% 1.01/1.27  (step @p226 :rule nary_cong :premises (@p225 @p218 @p211) :args (@t266))
% 1.01/1.27  (step @p227 :rule quant-miniscope-and :args ((= @t267 @t266)))
% 1.01/1.27  (step @p228 :rule trans :premises (@p227 @p226))
% 1.01/1.27  (step @p229 :rule nary_cong :premises (@p104 @p228) :args (@t268))
% 1.01/1.27  (step @p230 :rule quant-miniscope-or :args ((= @t242 @t268)))
% 1.01/1.27  (step @p231 :rule trans :premises (@p230 @p229))
% 1.01/1.27  (step @p232 :rule symm :premises (@p231))
% 1.01/1.27  (step @p233 :rule cong :premises (@p232) :args ((forall @t36 (or @t136 @t279))))
% 1.01/1.27  (step @p234 :rule trans :premises (@p233 @p204))
% 1.01/1.27  (step @p235 :rule trans :premises (@p234 @p203))
% 1.01/1.27  (step @p236 :rule beta-reduce :args ((= (_ (lambda @t138 (and (or @t280 @t281) (or (forall @t278 (or (not (tptp.irel @t29 @t256)) @t277)) @t281) (or @t280 (forall @t270 (or (not (tptp.irel @t29 @t244)) @t269))))) @t8) @t279)))
% 1.01/1.27  (step @p237 :rule alpha_equiv :args (@t179 @t132 @t245))
% 1.01/1.27  (step @p238 :rule alpha_equiv :args (@t211 @t132 @t248))
% 1.01/1.27  (step @p239 :rule nary_cong :premises (@p238 @p237) :args (@t282))
% 1.01/1.27  (step @p240 :rule alpha_equiv :args (@t193 @t132 @t254))
% 1.01/1.27  (step @p241 :rule alpha_equiv :args (@t181 @t132 @t257))
% 1.01/1.27  (step @p242 :rule nary_cong :premises (@p241 @p240) :args (@t283))
% 1.01/1.27  (step @p243 :rule nary_cong :premises (@p238 @p240) :args (@t284))
% 1.01/1.27  (step @p244 :rule nary_cong :premises (@p243 @p242 @p239) :args (@t285))
% 1.01/1.27  (step @p245 :rule cong :premises (@p244) :args (@t286))
% 1.01/1.27  (step @p246 :rule ho_cong :premises (@p245 @p85))
% 1.01/1.27  (step @p247 :rule trans :premises (@p246 @p236))
% 1.01/1.27  (step @p248 :rule nary_cong :premises (@p91 @p247) :args (@t287))
% 1.01/1.27  (step @p249 :rule cong :premises (@p248) :args (@t288))
% 1.01/1.27  (step @p250 :rule trans :premises (@p249 @p235))
% 1.01/1.27  (step @p251 :rule cong :premises (@p250) :args (@t289))
% 1.01/1.27  (step @p252 :rule nary_cong :premises (@p251 @p160) :args (@t290))
% 1.01/1.27  (step @p253 :rule cong :premises (@p252) :args (@t291))
% 1.01/1.27  (step @p254 :rule beta-reduce :args ((= (_ @t293 @t286) @t291)))
% 1.01/1.27  (step @p255 :rule trans :premises (@p254 @p253))
% 1.01/1.27  (step @p256 :rule aci_norm :args ((= (and @t284 @t294) @t285)))
% 1.01/1.27  (step @p257 :rule beta-reduce :args ((= @t296 @t294)))
% 1.01/1.27  (step @p258 :rule refl :args (@t284))
% 1.01/1.27  (step @p259 :rule nary_cong :premises (@p258 @p257) :args (@t297))
% 1.01/1.27  (step @p260 :rule trans :premises (@p259 @p256))
% 1.01/1.27  (step @p261 :rule cong :premises (@p260) :args (@t298))
% 1.01/1.27  (step @p262 :rule beta-reduce :args ((= (_ (lambda @t157 (and @t284 @t299)) @t295) @t298)))
% 1.01/1.27  (step @p263 :rule trans :premises (@p262 @p261))
% 1.01/1.27  (step @p264 :rule beta-reduce :args ((= @t301 @t282)))
% 1.01/1.27  (step @p265 :rule refl :args (@t283))
% 1.01/1.27  (step @p266 :rule nary_cong :premises (@p265 @p264) :args (@t302))
% 1.01/1.27  (step @p267 :rule cong :premises (@p266) :args (@t303))
% 1.01/1.27  (step @p268 :rule beta-reduce :args ((= (_ (lambda @t157 (and @t283 @t299)) @t300) @t303)))
% 1.01/1.27  (step @p269 :rule trans :premises (@p268 @p267))
% 1.01/1.27  (step @p270 :rule refl :args (@t211))
% 1.01/1.27  (step @p271 :rule nary_cong :premises (@p270 @p135) :args (@t304))
% 1.01/1.27  (step @p272 :rule cong :premises (@p271) :args (@t305))
% 1.01/1.27  (step @p273 :rule beta-reduce :args ((= (_ @t306 @t195) @t305)))
% 1.01/1.27  (step @p274 :rule trans :premises (@p273 @p272))
% 1.01/1.27  (step @p275 :rule nary_cong :premises (@p183 @p160) :args (@t307))
% 1.01/1.27  (step @p276 :rule cong :premises (@p275) :args (@t308))
% 1.01/1.27  (step @p277 :rule beta-reduce :args ((= (_ @t219 @t222) @t308)))
% 1.01/1.27  (step @p278 :rule trans :premises (@p277 @p276))
% 1.01/1.27  (step @p279 :rule ho_cong :premises (@p191 @p188))
% 1.01/1.27  (step @p280 :rule trans :premises (@p279 @p278))
% 1.01/1.27  (step @p281 :rule ho_cong :premises (@p280 @p159))
% 1.01/1.27  (step @p282 :rule trans :premises (@p281 @p274))
% 1.01/1.27  (step @p283 :rule refl :args (@t299))
% 1.01/1.27  (step @p284 :rule beta-reduce :args ((= @t310 @t283)))
% 1.01/1.27  (step @p285 :rule nary_cong :premises (@p284 @p283) :args (@t311))
% 1.01/1.27  (step @p286 :rule cong :premises (@p285) :args (@t312))
% 1.01/1.27  (step @p287 :rule beta-reduce :args ((= (_ @t314 @t309) @t312)))
% 1.01/1.27  (step @p288 :rule trans :premises (@p287 @p286))
% 1.01/1.27  (step @p289 :rule nary_cong :premises (@p136 @p151) :args (@t315))
% 1.01/1.27  (step @p290 :rule cong :premises (@p289) :args (@t316))
% 1.01/1.27  (step @p291 :rule beta-reduce :args ((= (_ @t200 @t203) @t316)))
% 1.01/1.27  (step @p292 :rule trans :premises (@p291 @p290))
% 1.01/1.27  (step @p293 :rule ho_cong :premises (@p193 @p156))
% 1.01/1.27  (step @p294 :rule trans :premises (@p293 @p292))
% 1.01/1.27  (step @p295 :rule refl :args (@t314))
% 1.01/1.27  (step @p296 :rule ho_cong :premises (@p295 @p294))
% 1.01/1.27  (step @p297 :rule trans :premises (@p296 @p288))
% 1.01/1.27  (step @p298 :rule ho_cong :premises (@p297 @p282))
% 1.01/1.27  (step @p299 :rule trans :premises (@p298 @p269))
% 1.01/1.27  (step @p300 :rule beta-reduce :args ((= @t318 @t284)))
% 1.01/1.27  (step @p301 :rule nary_cong :premises (@p300 @p283) :args (@t319))
% 1.01/1.27  (step @p302 :rule cong :premises (@p301) :args (@t320))
% 1.01/1.27  (step @p303 :rule beta-reduce :args ((= (_ @t314 @t317) @t320)))
% 1.01/1.27  (step @p304 :rule trans :premises (@p303 @p302))
% 1.01/1.27  (step @p305 :rule nary_cong :premises (@p270 @p151) :args (@t321))
% 1.01/1.27  (step @p306 :rule cong :premises (@p305) :args (@t322))
% 1.01/1.27  (step @p307 :rule beta-reduce :args ((= (_ @t306 @t203) @t322)))
% 1.01/1.27  (step @p308 :rule trans :premises (@p307 @p306))
% 1.01/1.27  (step @p309 :rule ho_cong :premises (@p280 @p156))
% 1.01/1.27  (step @p310 :rule trans :premises (@p309 @p308))
% 1.01/1.27  (step @p311 :rule ho_cong :premises (@p295 @p310))
% 1.01/1.27  (step @p312 :rule trans :premises (@p311 @p304))
% 1.01/1.27  (step @p313 :rule ho_cong :premises (@p312 @p299))
% 1.01/1.27  (step @p314 :rule trans :premises (@p313 @p263))
% 1.01/1.27  (step @p315 :rule refl :args (@t293))
% 1.01/1.27  (step @p316 :rule ho_cong :premises (@p315 @p314))
% 1.01/1.27  (step @p317 :rule trans :premises (@p316 @p255))
% 1.01/1.27  (step @p318 :rule ho_cong :premises (@p317 @p197))
% 1.01/1.27  (step @p319 :rule trans :premises (@p318 @p98))
% 1.01/1.27  (step @p320 :rule refl :args (@t143))
% 1.01/1.27  (step @p321 :rule ho_cong :premises (@p320 @p319))
% 1.01/1.27  (step @p322 :rule trans :premises (@p321 @p83))
% 1.01/1.27  (step @p323 :rule cong :premises (@p322) :args ((not (_ @t143 (_ (_ @t293 (_ (_ @t314 (_ @t325 @t209)) (_ (_ @t314 (_ @t324 @t209)) (_ @t325 @t323)))) (_ @t191 (_ @t324 @t323)))))))
% 1.01/1.27  (step @p324 :rule refl :args (tptp.p2))
% 1.01/1.27  (step @p325 :rule ho_cong :premises (@p11 @p324))
% 1.01/1.27  (step @p326 :rule beta-reduce :args ((= (_ (lambda @t328 (not @t327)) @t29) @t190)))
% 1.01/1.27  (step @p327 :rule refl :args (@t29))
% 1.01/1.27  (step @p328 :rule beta-reduce :args ((= @t332 @t327)))
% 1.01/1.27  (step @p329 :rule cong :premises (@p328) :args (@t333))
% 1.01/1.27  (step @p330 :rule cong :premises (@p329) :args (@t334))
% 1.01/1.27  (step @p331 :rule beta-reduce :args ((= (_ @t23 @t331) @t334)))
% 1.01/1.27  (step @p332 :rule trans :premises (@p331 @p330))
% 1.01/1.27  (step @p333 :rule beta-reduce :args ((= (_ @t335 @t34) @t331)))
% 1.01/1.27  (step @p334 :rule refl :args (@t23))
% 1.01/1.27  (step @p335 :rule ho_cong :premises (@p334 @p333))
% 1.01/1.27  (step @p336 :rule trans :premises (@p335 @p332))
% 1.01/1.27  (step @p337 :rule ho_cong :premises (@p336 @p327))
% 1.01/1.27  (step @p338 :rule trans :premises (@p337 @p326))
% 1.01/1.27  (step @p339 :rule refl :args (@t34))
% 1.01/1.27  (step @p340 :rule refl :args (@t188))
% 1.01/1.27  (step @p341 :rule refl :args (@t35))
% 1.01/1.27  (step @p342 :rule cong :premises (@p341 @p340) :args ((= @t35 @t188)))
% 1.01/1.27  (step @p343 :rule symm :premises (@p342))
% 1.01/1.27  (step @p344 :rule eq_resolve :premises (@p341 @p343))
% 1.01/1.27  (step @p345 :rule nary_cong :premises (@p40 @p344) :args (@t336))
% 1.01/1.27  (step @p346 :rule cong :premises (@p345) :args ((forall @t36 @t336)))
% 1.01/1.27  (step @p347 :rule bool-impl-elim :args (@t10 @t35))
% 1.01/1.27  (step @p348 :rule cong :premises (@p347) :args (@t37))
% 1.01/1.27  (step @p349 :rule trans :premises (@p348 @p346))
% 1.01/1.27  (step @p350 :rule cong :premises (@p349) :args (@t39))
% 1.01/1.27  (step @p351 :rule trans :premises (@p10 @p350))
% 1.01/1.27  (step @p352 :rule ho_cong :premises (@p351 @p339))
% 1.01/1.27  (step @p353 :rule ho_cong :premises (@p6 @p352))
% 1.01/1.27  (step @p354 :rule ho_cong :premises (@p353 @p327))
% 1.01/1.27  (step @p355 :rule trans :premises (@p354 @p338))
% 1.01/1.27  (step @p356 :rule cong :premises (@p355) :args (@t44))
% 1.01/1.27  (step @p357 :rule trans :premises (@p12 @p356))
% 1.01/1.27  (step @p358 :rule ho_cong :premises (@p357 @p325))
% 1.01/1.27  (step @p359 :rule refl :args (tptp.p1))
% 1.01/1.27  (step @p360 :rule ho_cong :premises (@p11 @p359))
% 1.01/1.27  (step @p361 :rule ho_cong :premises (@p357 @p360))
% 1.01/1.27  (step @p362 :rule beta-reduce :args ((= (_ (lambda @t328 (or @t327 @t337)) @t29) @t218)))
% 1.01/1.27  (step @p363 :rule beta-reduce :args ((= @t339 @t337)))
% 1.01/1.27  (step @p364 :rule refl :args (@t327))
% 1.01/1.27  (step @p365 :rule nary_cong :premises (@p364 @p363) :args (@t340))
% 1.01/1.27  (step @p366 :rule cong :premises (@p365) :args (@t341))
% 1.01/1.27  (step @p367 :rule beta-reduce :args ((= (_ (lambda @t342 (or @t327 @t25)) @t338) @t341)))
% 1.01/1.27  (step @p368 :rule trans :premises (@p367 @p366))
% 1.01/1.27  (step @p369 :rule beta-reduce :args ((= (_ @t335 @t48) @t338)))
% 1.01/1.27  (step @p370 :rule refl :args (@t25))
% 1.01/1.27  (step @p371 :rule nary_cong :premises (@p328 @p370) :args (@t343))
% 1.01/1.27  (step @p372 :rule cong :premises (@p371) :args (@t344))
% 1.01/1.27  (step @p373 :rule beta-reduce :args ((= (_ @t27 @t331) @t344)))
% 1.01/1.27  (step @p374 :rule trans :premises (@p373 @p372))
% 1.01/1.27  (step @p375 :rule refl :args (@t27))
% 1.01/1.27  (step @p376 :rule ho_cong :premises (@p375 @p333))
% 1.01/1.27  (step @p377 :rule trans :premises (@p376 @p374))
% 1.01/1.27  (step @p378 :rule ho_cong :premises (@p377 @p369))
% 1.01/1.27  (step @p379 :rule trans :premises (@p378 @p368))
% 1.01/1.27  (step @p380 :rule ho_cong :premises (@p379 @p327))
% 1.01/1.27  (step @p381 :rule trans :premises (@p380 @p362))
% 1.01/1.27  (step @p382 :rule refl :args (@t48))
% 1.01/1.27  (step @p383 :rule ho_cong :premises (@p351 @p382))
% 1.01/1.27  (step @p384 :rule ho_cong :premises (@p7 @p352))
% 1.01/1.27  (step @p385 :rule ho_cong :premises (@p384 @p383))
% 1.01/1.27  (step @p386 :rule ho_cong :premises (@p385 @p327))
% 1.01/1.27  (step @p387 :rule trans :premises (@p386 @p381))
% 1.01/1.27  (step @p388 :rule cong :premises (@p387) :args (@t52))
% 1.01/1.27  (step @p389 :rule trans :premises (@p15 @p388))
% 1.01/1.27  (step @p390 :rule ho_cong :premises (@p389 @p361))
% 1.01/1.27  (step @p391 :rule ho_cong :premises (@p390 @p358))
% 1.01/1.27  (step @p392 :rule ho_cong :premises (@p357 @p391))
% 1.01/1.27  (step @p393 :rule ho_cong :premises (@p389 @p360))
% 1.01/1.27  (step @p394 :rule ho_cong :premises (@p393 @p358))
% 1.01/1.27  (step @p395 :rule ho_cong :premises (@p390 @p325))
% 1.01/1.27  (step @p396 :rule beta-reduce :args ((= (_ @t346 @t29) @t313)))
% 1.01/1.27  (step @p397 :rule beta-reduce :args ((= (_ @t347 @t48) @t346)))
% 1.01/1.27  (step @p398 :rule beta-reduce :args ((= (_ @t28 @t34) @t347)))
% 1.01/1.27  (step @p399 :rule ho_cong :premises (@p398 @p382))
% 1.01/1.27  (step @p400 :rule trans :premises (@p399 @p397))
% 1.01/1.27  (step @p401 :rule ho_cong :premises (@p400 @p327))
% 1.01/1.27  (step @p402 :rule trans :premises (@p401 @p396))
% 1.01/1.27  (step @p403 :rule ho_cong :premises (@p8 @p339))
% 1.01/1.27  (step @p404 :rule ho_cong :premises (@p403 @p382))
% 1.01/1.27  (step @p405 :rule ho_cong :premises (@p404 @p327))
% 1.01/1.27  (step @p406 :rule trans :premises (@p405 @p402))
% 1.01/1.27  (step @p407 :rule cong :premises (@p406) :args (@t50))
% 1.01/1.27  (step @p408 :rule trans :premises (@p14 @p407))
% 1.01/1.27  (step @p409 :rule ho_cong :premises (@p408 @p395))
% 1.01/1.27  (step @p410 :rule ho_cong :premises (@p409 @p394))
% 1.01/1.27  (step @p411 :rule ho_cong :premises (@p393 @p325))
% 1.01/1.27  (step @p412 :rule ho_cong :premises (@p408 @p411))
% 1.01/1.27  (step @p413 :rule ho_cong :premises (@p412 @p410))
% 1.01/1.27  (step @p414 :rule beta-reduce :args ((= (_ (lambda @t138 @t292) @t29) @t292)))
% 1.01/1.27  (step @p415 :rule beta-reduce :args ((= @t348 @t156)))
% 1.01/1.27  (step @p416 :rule refl :args (@t190))
% 1.01/1.27  (step @p417 :rule nary_cong :premises (@p416 @p415) :args (@t349))
% 1.01/1.27  (step @p418 :rule cong :premises (@p417) :args (@t350))
% 1.01/1.27  (step @p419 :rule beta-reduce :args ((= (_ (lambda @t352 (or @t190 @t351)) @t338) @t350)))
% 1.01/1.27  (step @p420 :rule trans :premises (@p419 @p418))
% 1.01/1.27  (step @p421 :rule refl :args (@t351))
% 1.01/1.27  (step @p422 :rule beta-reduce :args ((= @t353 @t189)))
% 1.01/1.27  (step @p423 :rule cong :premises (@p422) :args (@t354))
% 1.01/1.27  (step @p424 :rule nary_cong :premises (@p423 @p421) :args (@t355))
% 1.01/1.27  (step @p425 :rule cong :premises (@p424) :args (@t356))
% 1.01/1.27  (step @p426 :rule beta-reduce :args ((= (_ @t358 @t331) @t356)))
% 1.01/1.27  (step @p427 :rule trans :premises (@p426 @p425))
% 1.01/1.27  (step @p428 :rule refl :args (@t358))
% 1.01/1.27  (step @p429 :rule ho_cong :premises (@p428 @p333))
% 1.01/1.27  (step @p430 :rule trans :premises (@p429 @p427))
% 1.01/1.27  (step @p431 :rule ho_cong :premises (@p430 @p369))
% 1.01/1.27  (step @p432 :rule trans :premises (@p431 @p420))
% 1.01/1.27  (step @p433 :rule ho_cong :premises (@p432 @p327))
% 1.01/1.27  (step @p434 :rule trans :premises (@p433 @p414))
% 1.01/1.27  (step @p435 :rule beta-reduce :args ((= (_ @t360 @t29) @t357)))
% 1.01/1.27  (step @p436 :rule beta-reduce :args ((= (_ (lambda @t342 (or @t359 @t25)) @t30) @t360)))
% 1.01/1.27  (step @p437 :rule refl :args (@t30))
% 1.01/1.27  (step @p438 :rule beta-reduce :args ((= @t362 @t359)))
% 1.01/1.27  (step @p439 :rule nary_cong :premises (@p438 @p370) :args (@t363))
% 1.01/1.27  (step @p440 :rule cong :premises (@p439) :args (@t364))
% 1.01/1.27  (step @p441 :rule beta-reduce :args ((= (_ @t27 @t361) @t364)))
% 1.01/1.27  (step @p442 :rule trans :premises (@p441 @p440))
% 1.01/1.27  (step @p443 :rule beta-reduce :args ((= (_ @t23 @t31) @t361)))
% 1.01/1.27  (step @p444 :rule ho_cong :premises (@p375 @p443))
% 1.01/1.27  (step @p445 :rule trans :premises (@p444 @p442))
% 1.01/1.27  (step @p446 :rule ho_cong :premises (@p445 @p437))
% 1.01/1.27  (step @p447 :rule trans :premises (@p446 @p436))
% 1.01/1.27  (step @p448 :rule ho_cong :premises (@p447 @p327))
% 1.01/1.27  (step @p449 :rule trans :premises (@p448 @p435))
% 1.01/1.27  (step @p450 :rule refl :args (@t31))
% 1.01/1.27  (step @p451 :rule ho_cong :premises (@p6 @p450))
% 1.01/1.27  (step @p452 :rule ho_cong :premises (@p7 @p451))
% 1.01/1.27  (step @p453 :rule ho_cong :premises (@p452 @p437))
% 1.01/1.27  (step @p454 :rule ho_cong :premises (@p453 @p327))
% 1.01/1.27  (step @p455 :rule trans :premises (@p454 @p449))
% 1.01/1.27  (step @p456 :rule cong :premises (@p455) :args (@t33))
% 1.01/1.27  (step @p457 :rule trans :premises (@p9 @p456))
% 1.01/1.27  (step @p458 :rule ho_cong :premises (@p457 @p352))
% 1.01/1.27  (step @p459 :rule ho_cong :premises (@p458 @p383))
% 1.01/1.27  (step @p460 :rule ho_cong :premises (@p459 @p327))
% 1.01/1.27  (step @p461 :rule trans :premises (@p460 @p434))
% 1.01/1.27  (step @p462 :rule cong :premises (@p461) :args (@t53))
% 1.01/1.27  (step @p463 :rule trans :premises (@p16 @p462))
% 1.01/1.27  (step @p464 :rule ho_cong :premises (@p463 @p413))
% 1.01/1.27  (step @p465 :rule ho_cong :premises (@p464 @p392))
% 1.01/1.27  (step @p466 :rule refl :args (@t142))
% 1.01/1.27  (step @p467 :rule refl :args (@t59))
% 1.01/1.27  (step @p468 :rule cong :premises (@p467 @p466) :args ((= @t59 @t142)))
% 1.01/1.27  (step @p469 :rule symm :premises (@p468))
% 1.01/1.27  (step @p470 :rule eq_resolve :premises (@p467 @p469))
% 1.01/1.27  (step @p471 :rule cong :premises (@p470) :args (@t60))
% 1.01/1.27  (step @p472 :rule cong :premises (@p471) :args (@t62))
% 1.01/1.27  (step @p473 :rule trans :premises (@p20 @p472))
% 1.01/1.27  (step @p474 :rule ho_cong :premises (@p473 @p465))
% 1.01/1.27  (step @p475 :rule cong :premises (@p474) :args (@t19))
% 1.01/1.27  (step @p476 :rule trans :premises (@p475 @p323))
% 1.01/1.27  (step @p477 :rule eq_resolve :premises (@p4 @p476))
% 1.01/1.27  (step @p478 :rule skolemize :premises (@p477))
% 1.01/1.27  (step @p479 :rule bool-double-not-elim :args (@t365))
% 1.01/1.27  (step @p480 :rule refl :args (@t372))
% 1.01/1.27  (step @p481 :rule nary_cong :premises (@p480 @p479) :args ((or @t372 (not @t371))))
% 1.01/1.27  (step @p482 :rule cnf_or_neg :args (@t372 0))
% 1.01/1.27  (step @p483 :rule eq_resolve :premises (@p482 @p481))
% 1.01/1.27  (step @p484 :rule reordering :premises (@p483) :args ((or @t365 @t372)))
% 1.01/1.27  (step @p485 :rule chain_m_resolution :premises (@p484 @p478) :args (@t365 @t373 @t374))
% 1.01/1.27  (step @p486 :rule instantiate :premises (@p485) :args ((@list @t118 @t366 @t366 @t366 @t366 @t120 @t118)))
% 1.01/1.27  (step @p487 :rule cnf_or_pos :args (@t386))
% 1.01/1.27  (step @p488 :rule reordering :premises (@p487) :args ((or @t378 @t385 (not @t386))))
% 1.01/1.27  (step @p489 :rule chain_m_resolution :premises (@p488 @p66 @p486) :args (@t385 @t387 (@list @t377 @t386)))
% 1.01/1.27  (step @p490 :rule cnf_and_pos :args (@t385 2))
% 1.01/1.27  (step @p491 :rule reordering :premises (@p490) :args ((or @t379 (not @t385))))
% 1.01/1.27  (step @p492 :rule chain_m_resolution :premises (@p491 @p489) :args (@t379 @t388 (@list @t385)))
% 1.01/1.27  (step @p493 :rule cnf_or_pos :args (@t379))
% 1.01/1.27  (step @p494 :rule reordering :premises (@p493) :args ((or @t378 @t376 @t123 @t122 (not @t379))))
% 1.01/1.27  (step @p495 :rule refl :args (@t394))
% 1.01/1.27  (step @p496 :rule bool-double-not-elim :args (@t375))
% 1.01/1.27  (step @p497 :rule nary_cong :premises (@p496 @p495) :args ((or (not @t376) @t394)))
% 1.01/1.27  (assume-push @p679 @t376)
% 1.01/1.27  (step @p499 :rule skolemize :premises (@p679))
% 1.01/1.27  (step-pop @p680 :rule scope :premises (@p499))
% 1.01/1.27  (step @p500 :rule process_scope :premises (@p680) :args (@t394))
% 1.01/1.27  (step @p502 :rule implies_elim :premises (@p500))
% 1.01/1.27  (step @p503 :rule eq_resolve :premises (@p502 @p497))
% 1.01/1.27  (step @p504 :rule bool-double-not-elim :args (@t391))
% 1.01/1.27  (step @p505 :rule refl :args (@t393))
% 1.01/1.27  (step @p506 :rule nary_cong :premises (@p505 @p504) :args ((or @t393 (not @t392))))
% 1.01/1.27  (step @p507 :rule cnf_or_neg :args (@t393 0))
% 1.01/1.27  (step @p508 :rule eq_resolve :premises (@p507 @p506))
% 1.01/1.27  (step @p509 :rule reordering :premises (@p508) :args ((or @t391 @t393)))
% 1.01/1.27  (step @p510 :rule cnf_or_neg :args (@t393 1))
% 1.01/1.27  (step @p511 :rule instantiate :premises (@p485) :args ((@list @t118 @t120 @t389 @t366 @t366 @t366 @t366)))
% 1.01/1.27  (step @p512 :rule cnf_or_pos :args (@t400))
% 1.01/1.27  (step @p513 :rule reordering :premises (@p512) :args ((or @t378 @t399 (not @t400))))
% 1.01/1.27  (step @p514 :rule chain_m_resolution :premises (@p513 @p66 @p511) :args (@t399 @t387 (@list @t377 @t400)))
% 1.01/1.27  (step @p515 :rule cnf_and_pos :args (@t399 0))
% 1.01/1.27  (step @p516 :rule reordering :premises (@p515) :args ((or @t398 (not @t399))))
% 1.01/1.27  (step @p517 :rule chain_m_resolution :premises (@p516 @p514) :args (@t398 @t388 (@list @t399)))
% 1.01/1.27  (step @p518 :rule cnf_or_pos :args (@t398))
% 1.01/1.27  (step @p519 :rule reordering :premises (@p518) :args ((or @t123 @t122 @t392 @t390 (not @t398))))
% 1.01/1.27  (step @p520 :rule chain_m_resolution :premises (@p519 @p517 @p510 @p509 @p503 @p494 @p492 @p66 @p58 @p57) :args (@t124 (@list false true false true true false false true false) (@list @t398 @t390 @t391 @t393 @t375 @t379 @t377 @t122 @t121)))
% 1.01/1.27  (step @p521 :rule refl :args (@t401))
% 1.01/1.27  (step @p522 :rule bool-double-not-elim :args (@t119))
% 1.01/1.27  (step @p523 :rule nary_cong :premises (@p522 @p521) :args ((or (not @t402) @t401)))
% 1.01/1.27  (assume-push @p681 @t402)
% 1.01/1.27  (step @p525 :rule skolemize :premises (@p681))
% 1.01/1.27  (step-pop @p682 :rule scope :premises (@p525))
% 1.01/1.27  (step @p526 :rule process_scope :premises (@p682) :args (@t401))
% 1.01/1.27  (step @p528 :rule implies_elim :premises (@p526))
% 1.01/1.27  (step @p529 :rule eq_resolve :premises (@p528 @p523))
% 1.01/1.27  (step @p530 :rule chain_m_resolution :premises (@p529 @p520) :args (@t119 @t388 (@list @t124)))
% 1.01/1.27  (assume-push @p683 @t119)
% 1.01/1.27  (step @p532 :rule instantiate :premises (@p683) :args ((@list @t405)))
% 1.01/1.27  (step-pop @p684 :rule scope :premises (@p532))
% 1.01/1.27  (step @p533 :rule process_scope :premises (@p684) :args (@t409))
% 1.01/1.27  (step @p535 :rule implies_elim :premises (@p533))
% 1.01/1.27  (step @p536 :rule chain_m_resolution :premises (@p535 @p530) :args (@t409 @t388 (@list @t119)))
% 1.01/1.27  (step @p537 :rule instantiate :premises (@p485) :args ((@list @t366 @t410 @t410 @t403 @t403 @t118 @t118)))
% 1.01/1.27  (step @p538 :rule bool-double-not-elim :args (@t369))
% 1.01/1.27  (step @p539 :rule nary_cong :premises (@p480 @p538) :args ((or @t372 (not @t370))))
% 1.01/1.27  (step @p540 :rule cnf_or_neg :args (@t372 1))
% 1.01/1.27  (step @p541 :rule eq_resolve :premises (@p540 @p539))
% 1.01/1.27  (step @p542 :rule reordering :premises (@p541) :args ((or @t369 @t372)))
% 1.01/1.27  (step @p543 :rule chain_m_resolution :premises (@p542 @p478) :args (@t369 @t373 @t374))
% 1.01/1.27  (step @p544 :rule cnf_or_pos :args (@t423))
% 1.01/1.27  (step @p545 :rule reordering :premises (@p544) :args ((or @t370 @t422 (not @t423))))
% 1.01/1.27  (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p537) :args (@t422 @t387 (@list @t369 @t423)))
% 1.01/1.27  (step @p547 :rule cnf_and_pos :args (@t422 1))
% 1.01/1.27  (step @p548 :rule reordering :premises (@p547) :args ((or @t416 (not @t422))))
% 1.01/1.27  (step @p549 :rule chain_m_resolution :premises (@p548 @p546) :args (@t416 @t388 (@list @t422)))
% 1.01/1.27  (step @p550 :rule bool-double-not-elim :args (@t367))
% 1.01/1.27  (step @p551 :rule nary_cong :premises (@p480 @p550) :args ((or @t372 (not @t368))))
% 1.01/1.27  (step @p552 :rule cnf_or_neg :args (@t372 2))
% 1.01/1.27  (step @p553 :rule eq_resolve :premises (@p552 @p551))
% 1.01/1.27  (step @p554 :rule reordering :premises (@p553) :args ((or @t367 @t372)))
% 1.01/1.27  (step @p555 :rule chain_m_resolution :premises (@p554 @p478) :args (@t367 @t373 @t374))
% 1.01/1.27  (step @p556 :rule instantiate :premises (@p555) :args ((@list @t366 @t366 @t366)))
% 1.01/1.27  (step @p557 :rule instantiate :premises (@p65) :args ((@list @t366)))
% 1.01/1.27  (step @p558 :rule bool-double-not-elim :args (@t418))
% 1.01/1.27  (step @p559 :rule refl :args (@t424))
% 1.01/1.27  (step @p560 :rule nary_cong :premises (@p559 @p558) :args ((or @t424 (not @t419))))
% 1.01/1.27  (step @p561 :rule cnf_or_neg :args (@t424 0))
% 1.01/1.27  (step @p562 :rule eq_resolve :premises (@p561 @p560))
% 1.01/1.27  (step @p563 :rule reordering :premises (@p562) :args ((or @t418 @t424)))
% 1.01/1.27  (step @p564 :rule cnf_or_neg :args (@t424 1))
% 1.01/1.27  (step @p565 :rule instantiate :premises (@p51) :args ((@list @t118 @t366 @t410)))
% 1.01/1.27  (step @p566 :rule cnf_or_pos :args (@t426))
% 1.01/1.27  (step @p567 :rule reordering :premises (@p566) :args ((or @t370 @t419 @t425 (not @t426))))
% 1.01/1.27  (step @p568 :rule instantiate :premises (@p485) :args ((@list @t366 @t410 @t410 @t410 @t410 @t410 @t410)))
% 1.01/1.27  (step @p569 :rule cnf_or_pos :args (@t431))
% 1.01/1.27  (step @p570 :rule reordering :premises (@p569) :args ((or @t370 @t430 (not @t431))))
% 1.01/1.27  (step @p571 :rule chain_m_resolution :premises (@p570 @p543 @p568) :args (@t430 @t387 (@list @t369 @t431)))
% 1.01/1.27  (step @p572 :rule cnf_and_pos :args (@t430 2))
% 1.01/1.27  (step @p573 :rule reordering :premises (@p572) :args ((or @t429 (not @t430))))
% 1.01/1.27  (step @p574 :rule chain_m_resolution :premises (@p573 @p571) :args (@t429 @t388 (@list @t430)))
% 1.01/1.27  (step @p575 :rule cnf_or_pos :args (@t429))
% 1.01/1.27  (step @p576 :rule factoring :premises (@p575))
% 1.01/1.27  (step @p577 :rule reordering :premises (@p576) :args ((or @t419 @t420 @t428 (not @t429))))
% 1.01/1.27  (step @p578 :rule refl :args (@t437))
% 1.01/1.27  (step @p579 :rule bool-double-not-elim :args (@t427))
% 1.01/1.27  (step @p580 :rule nary_cong :premises (@p579 @p578) :args ((or (not @t428) @t437)))
% 1.01/1.27  (assume-push @p685 @t428)
% 1.01/1.27  (step @p582 :rule skolemize :premises (@p685))
% 1.01/1.27  (step-pop @p686 :rule scope :premises (@p582))
% 1.01/1.27  (step @p583 :rule process_scope :premises (@p686) :args (@t437))
% 1.01/1.27  (step @p585 :rule implies_elim :premises (@p583))
% 1.01/1.27  (step @p586 :rule eq_resolve :premises (@p585 @p580))
% 1.01/1.27  (step @p587 :rule bool-double-not-elim :args (@t434))
% 1.01/1.27  (step @p588 :rule refl :args (@t436))
% 1.01/1.27  (step @p589 :rule nary_cong :premises (@p588 @p587) :args ((or @t436 (not @t435))))
% 1.01/1.27  (step @p590 :rule cnf_or_neg :args (@t436 0))
% 1.01/1.27  (step @p591 :rule eq_resolve :premises (@p590 @p589))
% 1.01/1.27  (step @p592 :rule reordering :premises (@p591) :args ((or @t434 @t436)))
% 1.01/1.27  (step @p593 :rule cnf_or_neg :args (@t436 1))
% 1.01/1.27  (step @p594 :rule instantiate :premises (@p51) :args ((@list @t118 @t410 @t432)))
% 1.01/1.27  (step @p595 :rule cnf_or_pos :args (@t440))
% 1.01/1.27  (step @p596 :rule reordering :premises (@p595) :args ((or @t439 @t435 @t438 (not @t440))))
% 1.01/1.27  (step @p597 :rule instantiate :premises (@p485) :args ((@list @t118 @t410 @t432 @t366 @t366 @t366 @t366)))
% 1.01/1.27  (step @p598 :rule cnf_or_pos :args (@t444))
% 1.01/1.27  (step @p599 :rule reordering :premises (@p598) :args ((or @t378 @t443 (not @t444))))
% 1.01/1.27  (step @p600 :rule chain_m_resolution :premises (@p599 @p66 @p597) :args (@t443 @t387 (@list @t377 @t444)))
% 1.01/1.27  (step @p601 :rule cnf_and_pos :args (@t443 0))
% 1.01/1.27  (step @p602 :rule reordering :premises (@p601) :args ((or @t442 (not @t443))))
% 1.01/1.27  (step @p603 :rule chain_m_resolution :premises (@p602 @p600) :args (@t442 @t388 (@list @t443)))
% 1.01/1.27  (step @p604 :rule cnf_or_pos :args (@t442))
% 1.01/1.27  (step @p605 :rule reordering :premises (@p604) :args ((or @t420 @t439 @t433 @t441 (not @t442))))
% 1.01/1.27  (step @p606 :rule chain_m_resolution :premises (@p605 @p603 @p596 @p594 @p593 @p592 @p586 @p577 @p574 @p567 @p565 @p543 @p564 @p563) :args (@t424 (@list false false false true false true true false false false false true false) (@list @t442 @t438 @t440 @t433 @t434 @t436 @t427 @t429 @t425 @t426 @t369 @t420 @t418)))
% 1.01/1.27  (step @p607 :rule refl :args (@t445))
% 1.01/1.27  (step @p608 :rule bool-double-not-elim :args (@t381))
% 1.01/1.27  (step @p609 :rule nary_cong :premises (@p608 @p607) :args ((or (not @t382) @t445)))
% 1.01/1.27  (assume-push @p687 @t382)
% 1.01/1.27  (step @p611 :rule skolemize :premises (@p687))
% 1.01/1.27  (step-pop @p688 :rule scope :premises (@p611))
% 1.01/1.27  (step @p612 :rule process_scope :premises (@p688) :args (@t445))
% 1.01/1.27  (step @p614 :rule implies_elim :premises (@p612))
% 1.01/1.27  (step @p615 :rule eq_resolve :premises (@p614 @p609))
% 1.01/1.27  (step @p616 :rule chain_m_resolution :premises (@p615 @p606) :args (@t381 @t388 (@list @t424)))
% 1.01/1.27  (step @p617 :rule cnf_or_pos :args (@t448))
% 1.01/1.27  (step @p618 :rule factoring :premises (@p617))
% 1.01/1.27  (step @p619 :rule reordering :premises (@p618) :args ((or @t382 @t396 @t447 (not @t448))))
% 1.01/1.27  (step @p620 :rule chain_m_resolution :premises (@p619 @p616 @p557 @p556) :args (@t396 @t449 (@list @t381 @t446 @t448)))
% 1.01/1.27  (step @p621 :rule refl :args (@t451))
% 1.01/1.27  (step @p622 :rule bool-double-not-elim :args (@t395))
% 1.01/1.27  (step @p623 :rule nary_cong :premises (@p622 @p621) :args ((or (not @t396) @t451)))
% 1.01/1.27  (assume-push @p689 @t396)
% 1.01/1.27  (step @p625 :rule skolemize :premises (@p689))
% 1.01/1.27  (step-pop @p690 :rule scope :premises (@p625))
% 1.01/1.27  (step @p626 :rule process_scope :premises (@p690) :args (@t451))
% 1.01/1.27  (step @p628 :rule implies_elim :premises (@p626))
% 1.01/1.27  (step @p629 :rule eq_resolve :premises (@p628 @p623))
% 1.01/1.27  (step @p630 :rule chain_m_resolution :premises (@p629 @p620) :args (@t451 @t373 (@list @t395)))
% 1.01/1.27  (step @p631 :rule cnf_or_neg :args (@t450 1))
% 1.01/1.27  (step @p632 :rule chain_m_resolution :premises (@p631 @p630) :args ((not @t412) @t373 @t452))
% 1.01/1.27  (step @p633 :rule bool-double-not-elim :args (@t413))
% 1.01/1.27  (step @p634 :rule refl :args (@t450))
% 1.01/1.27  (step @p635 :rule nary_cong :premises (@p634 @p633) :args ((or @t450 (not @t414))))
% 1.01/1.27  (step @p636 :rule cnf_or_neg :args (@t450 0))
% 1.01/1.27  (step @p637 :rule eq_resolve :premises (@p636 @p635))
% 1.01/1.27  (step @p638 :rule reordering :premises (@p637) :args ((or @t413 @t450)))
% 1.01/1.27  (step @p639 :rule chain_m_resolution :premises (@p638 @p630) :args (@t413 @t373 @t452))
% 1.01/1.27  (step @p640 :rule cnf_or_pos :args (@t416))
% 1.01/1.27  (step @p641 :rule factoring :premises (@p640))
% 1.01/1.27  (step @p642 :rule reordering :premises (@p641) :args ((or @t414 @t412 @t415 (not @t416))))
% 1.01/1.27  (step @p643 :rule chain_m_resolution :premises (@p642 @p639 @p632 @p549) :args (@t415 (@list false true false) (@list @t413 @t412 @t416)))
% 1.01/1.27  (step @p644 :rule refl :args (@t456))
% 1.01/1.27  (step @p645 :rule bool-double-not-elim :args (@t404))
% 1.01/1.27  (step @p646 :rule nary_cong :premises (@p645 @p644) :args ((or (not @t415) @t456)))
% 1.01/1.27  (assume-push @p691 @t415)
% 1.01/1.27  (step @p648 :rule skolemize :premises (@p691))
% 1.01/1.27  (step-pop @p692 :rule scope :premises (@p648))
% 1.01/1.27  (step @p649 :rule process_scope :premises (@p692) :args (@t456))
% 1.01/1.27  (step @p651 :rule implies_elim :premises (@p649))
% 1.01/1.27  (step @p652 :rule eq_resolve :premises (@p651 @p646))
% 1.01/1.27  (step @p653 :rule chain_m_resolution :premises (@p652 @p643) :args (@t456 @t373 (@list @t404)))
% 1.01/1.27  (step @p654 :rule cnf_or_neg :args (@t455 1))
% 1.01/1.27  (step @p655 :rule chain_m_resolution :premises (@p654 @p653) :args ((not @t406) @t373 @t457))
% 1.01/1.27  (step @p656 :rule cnf_or_pos :args (@t409))
% 1.01/1.27  (step @p657 :rule reordering :premises (@p656) :args ((or @t406 @t408 (not @t409))))
% 1.01/1.27  (step @p658 :rule chain_m_resolution :premises (@p657 @p655 @p536) :args (@t408 @t458 (@list @t406 @t409)))
% 1.01/1.27  (step @p659 :rule instantiate :premises (@p51) :args ((@list @t118 @t366 @t403)))
% 1.01/1.27  (step @p660 :rule cnf_or_pos :args (@t460))
% 1.01/1.27  (step @p661 :rule reordering :premises (@p660) :args ((or @t370 @t414 @t459 (not @t460))))
% 1.01/1.27  (step @p662 :rule chain_m_resolution :premises (@p661 @p543 @p639 @p659) :args (@t459 @t449 (@list @t369 @t413 @t460)))
% 1.01/1.27  (step @p663 :rule bool-double-not-elim :args (@t453))
% 1.01/1.27  (step @p664 :rule refl :args (@t455))
% 1.01/1.27  (step @p665 :rule nary_cong :premises (@p664 @p663) :args ((or @t455 (not @t454))))
% 1.01/1.27  (step @p666 :rule cnf_or_neg :args (@t455 0))
% 1.01/1.27  (step @p667 :rule eq_resolve :premises (@p666 @p665))
% 1.01/1.27  (step @p668 :rule reordering :premises (@p667) :args ((or @t453 @t455)))
% 1.01/1.27  (step @p669 :rule chain_m_resolution :premises (@p668 @p653) :args (@t453 @t373 @t457))
% 1.01/1.27  (step @p670 :rule cnf_or_pos :args (@t462))
% 1.01/1.27  (step @p671 :rule reordering :premises (@p670) :args ((or @t454 @t461 @t407 @t463)))
% 1.01/1.27  (step @p672 :rule chain_m_resolution :premises (@p671 @p669 @p662 @p658) :args (@t463 (@list false false true) (@list @t453 @t459 @t407)))
% 1.01/1.27  (assume-push @p693 @t464)
% 1.01/1.27  (step @p674 :rule instantiate :premises (@p51) :args ((@list @t118 @t403 @t405)))
% 1.01/1.27  (step-pop @p694 :rule scope :premises (@p674))
% 1.01/1.27  (step @p675 :rule process_scope :premises (@p694) :args (@t462))
% 1.01/1.27  (step @p677 :rule implies_elim :premises (@p675))
% 1.01/1.27  (step @p678 false :rule chain_m_resolution :premises (@p677 @p672 @p51) :args (false @t458 (@list @t462 @t464)))
% 1.01/1.27  )
% 1.01/1.27  % SZS output end Proof
% 1.01/1.27  % cvc5 exiting
%------------------------------------------------------------------------------