cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC308+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:58:48 AM UTC 2026

% Result   : Theorem 0.87s 1.10s
% Output   : Proof 0.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC308+1 : TPTP v9.2.1. Released v2.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n007.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 19:39:26 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.87/1.10  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.87/1.10  % SZS status Theorem
% 0.87/1.10  % SZS output start Proof
% 0.87/1.10  (
% 0.87/1.10  (declare-sort $$unsorted 0)
% 0.87/1.10  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 0.87/1.10  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 0.87/1.10  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 0.87/1.10  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 0.87/1.10  (declare-const tptp.nil $$unsorted)
% 0.87/1.10  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.ssList (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 0.87/1.10  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 0.87/1.10  (define @t1 () (@var "V" $$unsorted))
% 0.87/1.10  (define @t2 () (@var "U" $$unsorted))
% 0.87/1.10  (define @t3 () (= @t2 @t1))
% 0.87/1.10  (define @t4 () (not @t3))
% 0.87/1.10  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 0.87/1.10  (define @t6 () (tptp.ssItem @t1))
% 0.87/1.10  (define @t7 () (@list @t1))
% 0.87/1.10  (define @t8 () (tptp.ssItem @t2))
% 0.87/1.10  (define @t9 () (@list @t2))
% 0.87/1.10  (define @t10 () (@var "X" $$unsorted))
% 0.87/1.10  (define @t11 () (tptp.cons @t1 @t10))
% 0.87/1.10  (define @t12 () (@var "W" $$unsorted))
% 0.87/1.10  (define @t13 () (tptp.ssList @t10))
% 0.87/1.10  (define @t14 () (@list @t10))
% 0.87/1.10  (define @t15 () (tptp.ssList @t12))
% 0.87/1.10  (define @t16 () (@list @t12))
% 0.87/1.10  (define @t17 () (tptp.ssList @t2))
% 0.87/1.10  (define @t18 () (tptp.cons @t1 tptp.nil))
% 0.87/1.10  (define @t19 () (tptp.app @t1 @t12))
% 0.87/1.10  (define @t20 () (tptp.frontsegP @t2 @t1))
% 0.87/1.10  (define @t21 () (tptp.ssList @t1))
% 0.87/1.10  (define @t22 () (tptp.app @t12 @t1))
% 0.87/1.10  (define @t23 () (tptp.rearsegP @t2 @t1))
% 0.87/1.10  (define @t24 () (tptp.segmentP @t2 @t1))
% 0.87/1.10  (define @t25 () (tptp.leq @t12 @t1))
% 0.87/1.10  (define @t26 () (tptp.leq @t1 @t12))
% 0.87/1.10  (define @t27 () (@var "Z" $$unsorted))
% 0.87/1.10  (define @t28 () (@var "Y" $$unsorted))
% 0.87/1.10  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 0.87/1.10  (define @t30 () (tptp.ssList @t27))
% 0.87/1.10  (define @t31 () (@list @t27))
% 0.87/1.10  (define @t32 () (tptp.ssList @t28))
% 0.87/1.10  (define @t33 () (@list @t28))
% 0.87/1.10  (define @t34 () (tptp.ssItem @t12))
% 0.87/1.10  (define @t35 () (tptp.lt @t1 @t12))
% 0.87/1.10  (define @t36 () (= @t1 @t12))
% 0.87/1.10  (define @t37 () (forall @t7 (=> @t21 @t5)))
% 0.87/1.10  (define @t38 () (=> @t17 @t37))
% 0.87/1.10  (define @t39 () (forall @t9 @t38))
% 0.87/1.10  (define @t40 () (tptp.cons @t1 @t2))
% 0.87/1.10  (define @t41 () (tptp.ssList @t40))
% 0.87/1.10  (define @t42 () (forall @t7 (=> @t6 @t41)))
% 0.87/1.10  (define @t43 () (=> @t17 @t42))
% 0.87/1.10  (define @t44 () (forall @t9 @t43))
% 0.87/1.10  (define @t45 () (tptp.ssList tptp.nil))
% 0.87/1.10  (define @t46 () (= @t1 @t2))
% 0.87/1.10  (define @t47 () (tptp.cons @t12 @t1))
% 0.87/1.10  (define @t48 () (= tptp.nil @t2))
% 0.87/1.10  (define @t49 () (tptp.hd @t2))
% 0.87/1.10  (define @t50 () (tptp.ssItem @t49))
% 0.87/1.10  (define @t51 () (not @t48))
% 0.87/1.10  (define @t52 () (=> @t51 @t50))
% 0.87/1.10  (define @t53 () (=> @t17 @t52))
% 0.87/1.10  (define @t54 () (forall @t9 @t53))
% 0.87/1.10  (define @t55 () (tptp.tl @t2))
% 0.87/1.10  (define @t56 () (tptp.ssList @t55))
% 0.87/1.10  (define @t57 () (=> @t51 @t56))
% 0.87/1.10  (define @t58 () (=> @t17 @t57))
% 0.87/1.10  (define @t59 () (forall @t9 @t58))
% 0.87/1.10  (define @t60 () (tptp.app @t2 @t1))
% 0.87/1.10  (define @t61 () (tptp.app @t1 @t2))
% 0.87/1.10  (define @t62 () (tptp.leq @t1 @t2))
% 0.87/1.10  (define @t63 () (tptp.leq @t2 @t1))
% 0.87/1.10  (define @t64 () (tptp.geq @t2 @t1))
% 0.87/1.10  (define @t65 () (tptp.lt @t1 @t2))
% 0.87/1.10  (define @t66 () (tptp.lt @t2 @t1))
% 0.87/1.10  (define @t67 () (tptp.lt @t2 @t12))
% 0.87/1.10  (define @t68 () (tptp.gt @t2 @t1))
% 0.87/1.10  (define @t69 () (tptp.memberP @t12 @t2))
% 0.87/1.10  (define @t70 () (tptp.app @t12 @t2))
% 0.87/1.10  (define @t71 () (tptp.cons @t2 tptp.nil))
% 0.87/1.10  (define @t72 () (tptp.hd @t1))
% 0.87/1.10  (define @t73 () (= tptp.nil @t1))
% 0.87/1.10  (define @t74 () (not @t73))
% 0.87/1.10  (define @t75 () (tptp.cons @t2 @t1))
% 0.87/1.10  (define @t76 () (tptp.tl @t1))
% 0.87/1.10  (define @t77 () (tptp.cons @t49 @t55))
% 0.87/1.10  (define @t78 () (=> @t51 (= @t77 @t2)))
% 0.87/1.10  (define @t79 () (=> @t17 @t78))
% 0.87/1.10  (define @t80 () (forall @t9 @t79))
% 0.87/1.10  (define @t81 () (= @t12 @t2))
% 0.87/1.10  (define @t82 () (= @t40 (tptp.app @t18 @t2)))
% 0.87/1.10  (define @t83 () (forall @t7 (=> @t6 @t82)))
% 0.87/1.10  (define @t84 () (=> @t17 @t83))
% 0.87/1.10  (define @t85 () (forall @t9 @t84))
% 0.87/1.10  (define @t86 () (not (= tptp.nil @t12)))
% 0.87/1.10  (define @t87 () (and @t86 (= tptp.nil @t10)))
% 0.87/1.10  (define @t88 () (@var "X4" $$unsorted))
% 0.87/1.10  (define @t89 () (@var "X3" $$unsorted))
% 0.87/1.10  (define @t90 () (tptp.cons @t89 tptp.nil))
% 0.87/1.10  (define @t91 () (tptp.app @t90 @t88))
% 0.87/1.10  (define @t92 () (tptp.app @t88 @t90))
% 0.87/1.10  (define @t93 () (not (= @t92 @t12)))
% 0.87/1.10  (define @t94 () (tptp.ssList @t88))
% 0.87/1.10  (define @t95 () (and @t94 @t93 (= @t91 @t10)))
% 0.87/1.10  (define @t96 () (@list @t88))
% 0.87/1.10  (define @t97 () (exists @t96 @t95))
% 0.87/1.10  (define @t98 () (tptp.ssItem @t89))
% 0.87/1.10  (define @t99 () (and @t98 @t97))
% 0.87/1.10  (define @t100 () (@list @t89))
% 0.87/1.10  (define @t101 () (exists @t100 @t99))
% 0.87/1.10  (define @t102 () (tptp.neq tptp.nil @t1))
% 0.87/1.10  (define @t103 () (@var "X2" $$unsorted))
% 0.87/1.10  (define @t104 () (= @t72 @t103))
% 0.87/1.10  (define @t105 () (@var "X1" $$unsorted))
% 0.87/1.10  (define @t106 () (tptp.cons @t103 tptp.nil))
% 0.87/1.10  (define @t107 () (tptp.ssItem @t103))
% 0.87/1.10  (define @t108 () (and @t107 (= @t106 @t105) @t104 @t102))
% 0.87/1.10  (define @t109 () (@list @t103))
% 0.87/1.10  (define @t110 () (exists @t109 @t108))
% 0.87/1.10  (define @t111 () (tptp.app @t27 @t105))
% 0.87/1.10  (define @t112 () (tptp.ssList @t105))
% 0.87/1.10  (define @t113 () (and @t112 (= @t76 @t27) (= @t111 @t28) @t110 @t102))
% 0.87/1.10  (define @t114 () (@list @t105))
% 0.87/1.10  (define @t115 () (exists @t114 @t113))
% 0.87/1.10  (define @t116 () (and @t30 @t115))
% 0.87/1.10  (define @t117 () (exists @t31 @t116))
% 0.87/1.10  (define @t118 () (= @t2 @t28))
% 0.87/1.10  (define @t119 () (and @t32 @t118 @t117))
% 0.87/1.10  (define @t120 () (exists @t33 @t119))
% 0.87/1.10  (define @t121 () (not (tptp.neq @t1 tptp.nil)))
% 0.87/1.10  (define @t122 () (not (= @t2 @t12)))
% 0.87/1.10  (define @t123 () (not (= @t1 @t10)))
% 0.87/1.10  (define @t124 () (or @t123 @t122 @t121 @t120 @t101 @t87))
% 0.87/1.10  (define @t125 () (=> @t13 @t124))
% 0.87/1.10  (define @t126 () (forall @t14 @t125))
% 0.87/1.10  (define @t127 () (=> @t15 @t126))
% 0.87/1.10  (define @t128 () (forall @t16 @t127))
% 0.87/1.10  (define @t129 () (=> @t21 @t128))
% 0.87/1.10  (define @t130 () (forall @t7 @t129))
% 0.87/1.10  (define @t131 () (=> @t17 @t130))
% 0.87/1.10  (define @t132 () (forall @t9 @t131))
% 0.87/1.10  (define @t133 () (not @t132))
% 0.87/1.10  (define @t134 () (= @t2 @t77))
% 0.87/1.10  (define @t135 () (= @t2 tptp.nil))
% 0.87/1.10  (define @t136 () (not @t17))
% 0.87/1.10  (define @t137 () (or @t136 @t135 @t134))
% 0.87/1.10  (define @t138 () (not @t135))
% 0.87/1.10  (define @t139 () (not @t138))
% 0.87/1.10  (define @t140 () (=> @t138 @t134))
% 0.87/1.10  (define @t141 () (@var "BOUND_VARIABLE_11143" $$unsorted))
% 0.87/1.10  (define @t142 () (@var "BOUND_VARIABLE_11075" $$unsorted))
% 0.87/1.10  (define @t143 () (tptp.app @t90 @t142))
% 0.87/1.10  (define @t144 () (tptp.app @t142 @t90))
% 0.87/1.10  (define @t145 () (= @t2 @t144))
% 0.87/1.10  (define @t146 () (not (tptp.ssList @t142)))
% 0.87/1.10  (define @t147 () (not @t98))
% 0.87/1.10  (define @t148 () (@list @t89 @t142))
% 0.87/1.10  (define @t149 () (tptp.hd @t141))
% 0.87/1.10  (define @t150 () (tptp.cons @t149 tptp.nil))
% 0.87/1.10  (define @t151 () (tptp.tl @t141))
% 0.87/1.10  (define @t152 () (and (tptp.neq tptp.nil @t141) (tptp.ssItem @t149) (tptp.ssList @t150) (tptp.ssList @t151) @t17 (= @t2 (tptp.app @t151 @t150))))
% 0.87/1.10  (define @t153 () (not (tptp.neq @t141 tptp.nil)))
% 0.87/1.10  (define @t154 () (not (tptp.ssList @t141)))
% 0.87/1.10  (define @t155 () (@list @t2 @t141))
% 0.87/1.10  (define @t156 () (forall @t155 (or @t136 @t154 @t153 @t152 (not (forall @t148 (or @t147 @t146 @t145 (not (= @t143 @t141))))) (and @t138 (= tptp.nil @t141)))))
% 0.87/1.10  (define @t157 () (@quantifiers_skolemize @t156 1))
% 0.87/1.10  (define @t158 () (tptp.tl @t157))
% 0.87/1.10  (define @t159 () (tptp.hd @t157))
% 0.87/1.10  (define @t160 () (tptp.cons @t159 @t158))
% 0.87/1.10  (define @t161 () (= @t157 @t160))
% 0.87/1.10  (define @t162 () (tptp.ssList @t157))
% 0.87/1.10  (define @t163 () (not @t162))
% 0.87/1.10  (define @t164 () (= @t157 tptp.nil))
% 0.87/1.10  (define @t165 () (or @t163 @t164 @t161))
% 0.87/1.10  (define @t166 () (forall @t9 @t137))
% 0.87/1.10  (define @t167 () (@list @t157))
% 0.87/1.10  (define @t168 () (= tptp.nil @t157))
% 0.87/1.10  (define @t169 () (or @t163 @t168 @t161))
% 0.87/1.10  (define @t170 () (@list false))
% 0.87/1.10  (define @t171 () (@var "BOUND_VARIABLE_9131" $$unsorted))
% 0.87/1.10  (define @t172 () (= (tptp.neq @t2 @t171) (not (= @t2 @t171))))
% 0.87/1.10  (define @t173 () (not (tptp.ssList @t171)))
% 0.87/1.10  (define @t174 () (or @t173 @t172))
% 0.87/1.10  (define @t175 () (or @t136 @t174))
% 0.87/1.10  (define @t176 () (forall (@list @t2 @t171) @t175))
% 0.87/1.10  (define @t177 () (@list @t171))
% 0.87/1.10  (define @t178 () (forall @t177 @t175))
% 0.87/1.10  (define @t179 () (forall @t177 @t174))
% 0.87/1.10  (define @t180 () (@list @t1))
% 0.87/1.10  (define @t181 () (or @t136 @t179))
% 0.87/1.10  (define @t182 () (not @t21))
% 0.87/1.10  (define @t183 () (forall @t7 (or @t182 @t5)))
% 0.87/1.10  (define @t184 () (and @t138 (= @t141 tptp.nil)))
% 0.87/1.10  (define @t185 () (not (= @t141 @t143)))
% 0.87/1.10  (define @t186 () (or @t147 @t146 @t145 @t185))
% 0.87/1.10  (define @t187 () (forall @t148 @t186))
% 0.87/1.10  (define @t188 () (not @t187))
% 0.87/1.10  (define @t189 () (or @t136 @t154 @t153 @t152 @t188 @t184))
% 0.87/1.10  (define @t190 () (or @t154 @t153 @t152 @t188 @t184))
% 0.87/1.10  (define @t191 () (or @t136 @t190))
% 0.87/1.10  (define @t192 () (forall @t155 @t191))
% 0.87/1.10  (define @t193 () (@list @t141))
% 0.87/1.10  (define @t194 () (forall @t193 @t191))
% 0.87/1.10  (define @t195 () (forall @t193 @t190))
% 0.87/1.10  (define @t196 () (or @t136 @t195))
% 0.87/1.10  (define @t197 () (= @t1 tptp.nil))
% 0.87/1.10  (define @t198 () (and @t138 @t197))
% 0.87/1.10  (define @t199 () (not (= @t1 @t143)))
% 0.87/1.10  (define @t200 () (not (forall @t148 (or @t147 @t146 @t145 @t199))))
% 0.87/1.10  (define @t201 () (tptp.cons @t72 tptp.nil))
% 0.87/1.10  (define @t202 () (tptp.app @t76 @t201))
% 0.87/1.10  (define @t203 () (= @t2 @t202))
% 0.87/1.10  (define @t204 () (tptp.ssList @t76))
% 0.87/1.10  (define @t205 () (tptp.ssList @t201))
% 0.87/1.10  (define @t206 () (tptp.ssItem @t72))
% 0.87/1.10  (define @t207 () (and @t102 @t206 @t205 @t204 @t17 @t203))
% 0.87/1.10  (define @t208 () (or @t182 @t121 @t207 @t200 @t198))
% 0.87/1.10  (define @t209 () (or @t136 (forall @t7 @t208)))
% 0.87/1.10  (define @t210 () (or @t136 @t208))
% 0.87/1.10  (define @t211 () (or @t182 @t121 @t207 @t136 @t200 @t198))
% 0.87/1.10  (define @t212 () (or @t121 @t207 @t182 @t136 @t200 @t198))
% 0.87/1.10  (define @t213 () (or @t136 @t200 @t198))
% 0.87/1.10  (define @t214 () (not (= @t2 @t2)))
% 0.87/1.10  (define @t215 () (or @t136 @t214 @t200 @t198))
% 0.87/1.10  (define @t216 () (not (= @t12 tptp.nil)))
% 0.87/1.10  (define @t217 () (and @t216 @t197))
% 0.87/1.10  (define @t218 () (= @t12 @t144))
% 0.87/1.10  (define @t219 () (not (forall @t148 (or @t147 @t146 @t218 @t199))))
% 0.87/1.10  (define @t220 () (not @t15))
% 0.87/1.10  (define @t221 () (or @t122 @t220 @t122 @t219 @t217))
% 0.87/1.10  (define @t222 () (or @t220 @t122 @t219 @t217))
% 0.87/1.10  (define @t223 () (forall @t16 @t222))
% 0.87/1.10  (define @t224 () (or @t121 @t207 @t182 @t223))
% 0.87/1.10  (define @t225 () (or @t121 @t207 @t182 @t222))
% 0.87/1.10  (define @t226 () (or @t220 @t122 @t121 @t207 @t182 @t219 @t217))
% 0.87/1.10  (define @t227 () (or @t122 @t121 @t207 @t182 @t219 @t217))
% 0.87/1.10  (define @t228 () (or @t182 @t219 @t217))
% 0.87/1.10  (define @t229 () (not (= @t1 @t1)))
% 0.87/1.10  (define @t230 () (or @t182 @t229 @t219 @t217))
% 0.87/1.10  (define @t231 () (and @t216 (= @t10 tptp.nil)))
% 0.87/1.10  (define @t232 () (not (= @t10 @t143)))
% 0.87/1.10  (define @t233 () (or @t147 @t146 @t218 @t232))
% 0.87/1.10  (define @t234 () (not (forall @t148 @t233)))
% 0.87/1.10  (define @t235 () (not @t13))
% 0.87/1.10  (define @t236 () (or @t123 @t235 @t123 @t234 @t231))
% 0.87/1.10  (define @t237 () (or @t235 @t123 @t234 @t231))
% 0.87/1.10  (define @t238 () (forall @t14 @t237))
% 0.87/1.10  (define @t239 () (or @t122 @t121 @t207 @t238))
% 0.87/1.10  (define @t240 () (or @t122 @t121 @t207 @t237))
% 0.87/1.10  (define @t241 () (or @t235 @t123 @t122 @t121 @t207 @t234 @t231))
% 0.87/1.10  (define @t242 () (not @t203))
% 0.87/1.10  (define @t243 () (not @t242))
% 0.87/1.10  (define @t244 () (not @t136))
% 0.87/1.10  (define @t245 () (not @t204))
% 0.87/1.10  (define @t246 () (not @t245))
% 0.87/1.10  (define @t247 () (not @t205))
% 0.87/1.10  (define @t248 () (not @t247))
% 0.87/1.10  (define @t249 () (not @t206))
% 0.87/1.10  (define @t250 () (not @t249))
% 0.87/1.10  (define @t251 () (not @t102))
% 0.87/1.10  (define @t252 () (not @t251))
% 0.87/1.10  (define @t253 () (and @t252 @t250 @t248 @t246 @t244 @t243))
% 0.87/1.10  (define @t254 () (or @t136 @t242))
% 0.87/1.10  (define @t255 () (or @t251 @t249 @t247 @t245 @t136 @t242))
% 0.87/1.10  (define @t256 () (or @t123 @t122 @t121 (not @t255) @t234 @t231))
% 0.87/1.10  (define @t257 () (or @t146 @t218 @t232))
% 0.87/1.10  (define @t258 () (or @t147 @t257))
% 0.87/1.10  (define @t259 () (forall @t148 @t258))
% 0.87/1.10  (define @t260 () (@list @t142))
% 0.87/1.10  (define @t261 () (forall @t260 @t258))
% 0.87/1.10  (define @t262 () (forall @t260 @t257))
% 0.87/1.10  (define @t263 () (or @t147 @t262))
% 0.87/1.10  (define @t264 () (= @t10 @t91))
% 0.87/1.10  (define @t265 () (not @t264))
% 0.87/1.10  (define @t266 () (= @t12 @t92))
% 0.87/1.10  (define @t267 () (not @t94))
% 0.87/1.10  (define @t268 () (forall @t96 (or @t267 @t266 @t265)))
% 0.87/1.10  (define @t269 () (not @t268))
% 0.87/1.10  (define @t270 () (and @t98 @t269))
% 0.87/1.10  (define @t271 () (forall @t100 (not @t270)))
% 0.87/1.10  (define @t272 () (not @t271))
% 0.87/1.10  (define @t273 () (not @t266))
% 0.87/1.10  (define @t274 () (not @t273))
% 0.87/1.10  (define @t275 () (or @t267 @t274 @t265))
% 0.87/1.10  (define @t276 () (and @t94 @t273 @t264))
% 0.87/1.10  (define @t277 () (forall @t96 (not @t276)))
% 0.87/1.10  (define @t278 () (not @t277))
% 0.87/1.10  (define @t279 () (or @t136 @t214 @t242))
% 0.87/1.10  (define @t280 () (not (= @t28 @t202)))
% 0.87/1.10  (define @t281 () (not @t118))
% 0.87/1.10  (define @t282 () (not @t32))
% 0.87/1.10  (define @t283 () (or @t281 @t282 @t281 @t280))
% 0.87/1.10  (define @t284 () (or @t282 @t281 @t280))
% 0.87/1.10  (define @t285 () (forall @t33 @t284))
% 0.87/1.10  (define @t286 () (or @t251 @t249 @t247 @t245 @t285))
% 0.87/1.10  (define @t287 () (or @t251 @t249 @t247 @t245 @t284))
% 0.87/1.10  (define @t288 () (or @t282 @t281 @t251 @t249 @t247 @t245 @t280))
% 0.87/1.10  (define @t289 () (or @t251 @t249 @t247 @t245 @t280))
% 0.87/1.10  (define @t290 () (not @t289))
% 0.87/1.10  (define @t291 () (not @t290))
% 0.87/1.10  (define @t292 () (or @t282 @t281 @t291))
% 0.87/1.10  (define @t293 () (and @t32 @t118 @t290))
% 0.87/1.10  (define @t294 () (forall @t33 (not @t293)))
% 0.87/1.10  (define @t295 () (not @t294))
% 0.87/1.10  (define @t296 () (or @t245 @t280))
% 0.87/1.10  (define @t297 () (not (= @t76 @t76)))
% 0.87/1.10  (define @t298 () (or @t245 @t297 @t280))
% 0.87/1.10  (define @t299 () (not (= @t28 (tptp.app @t27 @t201))))
% 0.87/1.10  (define @t300 () (= @t27 @t76))
% 0.87/1.10  (define @t301 () (not @t300))
% 0.87/1.10  (define @t302 () (not @t30))
% 0.87/1.10  (define @t303 () (or @t301 @t302 @t301 @t299))
% 0.87/1.10  (define @t304 () (or @t302 @t301 @t299))
% 0.87/1.10  (define @t305 () (forall @t31 @t304))
% 0.87/1.10  (define @t306 () (or @t251 @t249 @t247 @t305))
% 0.87/1.10  (define @t307 () (or @t251 @t249 @t247 @t304))
% 0.87/1.10  (define @t308 () (or @t302 @t301 @t251 @t249 @t247 @t299))
% 0.87/1.10  (define @t309 () (or @t301 @t251 @t249 @t247 @t299))
% 0.87/1.10  (define @t310 () (not @t309))
% 0.87/1.10  (define @t311 () (and @t30 @t310))
% 0.87/1.10  (define @t312 () (forall @t31 (not @t311)))
% 0.87/1.10  (define @t313 () (not @t312))
% 0.87/1.10  (define @t314 () (or @t247 @t299))
% 0.87/1.10  (define @t315 () (not (= @t201 @t201)))
% 0.87/1.10  (define @t316 () (or @t247 @t299 @t315))
% 0.87/1.10  (define @t317 () (not (= @t105 @t201)))
% 0.87/1.10  (define @t318 () (= @t28 @t111))
% 0.87/1.10  (define @t319 () (not @t318))
% 0.87/1.10  (define @t320 () (not @t112))
% 0.87/1.10  (define @t321 () (or @t317 @t320 @t319 @t317))
% 0.87/1.10  (define @t322 () (or @t320 @t319 @t317))
% 0.87/1.10  (define @t323 () (forall @t114 @t322))
% 0.87/1.10  (define @t324 () (or @t301 @t251 @t249 @t323))
% 0.87/1.10  (define @t325 () (or @t301 @t251 @t249 @t322))
% 0.87/1.10  (define @t326 () (or @t320 @t301 @t319 @t251 @t249 @t317))
% 0.87/1.10  (define @t327 () (or @t251 @t249 @t317))
% 0.87/1.10  (define @t328 () (not @t327))
% 0.87/1.10  (define @t329 () (not @t328))
% 0.87/1.10  (define @t330 () (or @t320 @t301 @t319 @t329 @t251))
% 0.87/1.10  (define @t331 () (and @t112 @t300 @t318 @t328 @t102))
% 0.87/1.10  (define @t332 () (forall @t114 (not @t331)))
% 0.87/1.10  (define @t333 () (not @t332))
% 0.87/1.10  (define @t334 () (or @t249 @t317))
% 0.87/1.10  (define @t335 () (not (= @t72 @t72)))
% 0.87/1.10  (define @t336 () (or @t249 @t317 @t335))
% 0.87/1.10  (define @t337 () (not @t104))
% 0.87/1.10  (define @t338 () (= @t105 @t106))
% 0.87/1.10  (define @t339 () (not @t338))
% 0.87/1.10  (define @t340 () (not @t107))
% 0.87/1.10  (define @t341 () (or @t337 @t340 @t339 @t337))
% 0.87/1.10  (define @t342 () (or @t340 @t339 @t337))
% 0.87/1.10  (define @t343 () (forall @t109 @t342))
% 0.87/1.10  (define @t344 () (or @t251 @t343))
% 0.87/1.10  (define @t345 () (or @t251 @t342))
% 0.87/1.10  (define @t346 () (or @t340 @t339 @t337 @t251))
% 0.87/1.10  (define @t347 () (and @t107 @t338 @t104 @t102))
% 0.87/1.10  (define @t348 () (forall @t109 (not @t347)))
% 0.87/1.10  (define @t349 () (not @t348))
% 0.87/1.10  (define @t350 () (@quantifiers_skolemize @t156 0))
% 0.87/1.10  (define @t351 () (not (= @t143 @t157)))
% 0.87/1.10  (define @t352 () (forall @t148 (or @t147 @t146 (= @t144 @t350) @t351)))
% 0.87/1.10  (define @t353 () (not @t352))
% 0.87/1.10  (define @t354 () (tptp.cons @t159 tptp.nil))
% 0.87/1.10  (define @t355 () (tptp.app @t158 @t354))
% 0.87/1.10  (define @t356 () (= @t350 @t355))
% 0.87/1.10  (define @t357 () (tptp.ssList @t350))
% 0.87/1.10  (define @t358 () (tptp.ssList @t158))
% 0.87/1.10  (define @t359 () (tptp.ssList @t354))
% 0.87/1.10  (define @t360 () (tptp.ssItem @t159))
% 0.87/1.10  (define @t361 () (tptp.neq tptp.nil @t157))
% 0.87/1.10  (define @t362 () (and @t361 @t360 @t359 @t358 @t357 @t356))
% 0.87/1.10  (define @t363 () (tptp.neq @t157 tptp.nil))
% 0.87/1.10  (define @t364 () (not @t363))
% 0.87/1.10  (define @t365 () (not @t357))
% 0.87/1.10  (define @t366 () (or @t365 @t163 @t364 @t362 @t353 (and (not (= tptp.nil @t350)) @t168)))
% 0.87/1.10  (define @t367 () (not @t366))
% 0.87/1.10  (define @t368 () (not @t156))
% 0.87/1.10  (define @t369 () (not (= @t350 tptp.nil)))
% 0.87/1.10  (define @t370 () (and @t369 @t168))
% 0.87/1.10  (define @t371 () (or @t147 @t146 (= @t350 @t144) @t351))
% 0.87/1.10  (define @t372 () (forall @t148 @t371))
% 0.87/1.10  (define @t373 () (not @t372))
% 0.87/1.10  (define @t374 () (or @t365 @t163 @t364 @t362 @t373 @t370))
% 0.87/1.10  (define @t375 () (not @t374))
% 0.87/1.10  (define @t376 () (@list true))
% 0.87/1.10  (define @t377 () (@list @t366))
% 0.87/1.10  (define @t378 () (not @t168))
% 0.87/1.10  (define @t379 () (= @t361 @t378))
% 0.87/1.10  (define @t380 () (not @t45))
% 0.87/1.10  (define @t381 () (or @t380 @t163 @t379))
% 0.87/1.10  (define @t382 () (@list false false false))
% 0.87/1.10  (define @t383 () (not @t379))
% 0.87/1.10  (define @t384 () (not @t361))
% 0.87/1.10  (define @t385 () (and @t384 @t168 @t363))
% 0.87/1.10  (define @t386 () (@list false true false))
% 0.87/1.10  (define @t387 () (@var "BOUND_VARIABLE_10555" $$unsorted))
% 0.87/1.10  (define @t388 () (= (tptp.cons @t387 @t2) (tptp.app (tptp.cons @t387 tptp.nil) @t2)))
% 0.87/1.10  (define @t389 () (not (tptp.ssItem @t387)))
% 0.87/1.10  (define @t390 () (or @t389 @t388))
% 0.87/1.10  (define @t391 () (or @t136 @t390))
% 0.87/1.10  (define @t392 () (forall (@list @t2 @t387) @t391))
% 0.87/1.10  (define @t393 () (@list @t387))
% 0.87/1.10  (define @t394 () (forall @t393 @t391))
% 0.87/1.10  (define @t395 () (forall @t393 @t390))
% 0.87/1.10  (define @t396 () (or @t136 @t395))
% 0.87/1.10  (define @t397 () (not @t6))
% 0.87/1.10  (define @t398 () (forall @t7 (or @t397 @t82)))
% 0.87/1.10  (define @t399 () (or @t136 @t135 @t56))
% 0.87/1.10  (define @t400 () (=> @t138 @t56))
% 0.87/1.10  (define @t401 () (or @t163 @t164 @t358))
% 0.87/1.10  (define @t402 () (forall @t9 @t399))
% 0.87/1.10  (define @t403 () (or @t163 @t168 @t358))
% 0.87/1.10  (define @t404 () (or @t136 @t135 @t50))
% 0.87/1.10  (define @t405 () (=> @t138 @t50))
% 0.87/1.10  (define @t406 () (or @t163 @t164 @t360))
% 0.87/1.10  (define @t407 () (forall @t9 @t404))
% 0.87/1.10  (define @t408 () (or @t163 @t168 @t360))
% 0.87/1.10  (define @t409 () (tptp.app @t354 @t158))
% 0.87/1.10  (define @t410 () (= @t160 @t409))
% 0.87/1.10  (define @t411 () (not @t360))
% 0.87/1.10  (define @t412 () (not @t358))
% 0.87/1.10  (define @t413 () (or @t412 @t411 @t410))
% 0.87/1.10  (define @t414 () (not (= @t409 @t157)))
% 0.87/1.10  (define @t415 () (or @t411 @t412 (= @t355 @t350) @t414))
% 0.87/1.10  (define @t416 () (= @t157 @t409))
% 0.87/1.10  (define @t417 () (not @t416))
% 0.87/1.10  (define @t418 () (or @t411 @t412 @t356 @t417))
% 0.87/1.10  (define @t419 () (@var "BOUND_VARIABLE_9152" $$unsorted))
% 0.87/1.10  (define @t420 () (tptp.ssList (tptp.cons @t419 @t2)))
% 0.87/1.10  (define @t421 () (not (tptp.ssItem @t419)))
% 0.87/1.10  (define @t422 () (or @t421 @t420))
% 0.87/1.10  (define @t423 () (or @t136 @t422))
% 0.87/1.10  (define @t424 () (forall (@list @t2 @t419) @t423))
% 0.87/1.10  (define @t425 () (@list @t419))
% 0.87/1.10  (define @t426 () (forall @t425 @t423))
% 0.87/1.10  (define @t427 () (forall @t425 @t422))
% 0.87/1.10  (define @t428 () (or @t136 @t427))
% 0.87/1.10  (define @t429 () (forall @t7 (or @t397 @t41)))
% 0.87/1.10  (define @t430 () (or @t380 @t411 @t359))
% 0.87/1.10  (define @t431 () (not @t356))
% 0.87/1.10  (define @t432 () (and @t161 @t410))
% 0.87/1.10  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 0.87/1.10  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 0.87/1.10  (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2)))))))))))
% 0.87/1.10  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 0.87/1.10  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 0.87/1.10  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 0.87/1.10  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 0.87/1.10  (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25)))))))))))))))))
% 0.87/1.10  (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25))))))))))))))))
% 0.87/1.10  (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1)))))))))))))))))
% 0.87/1.10  (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26)))))))))))))))
% 0.87/1.10  (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35)))))))))))))))
% 0.87/1.10  (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36))))))))))))))))
% 0.87/1.10  (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36)))))))))))))
% 0.87/1.10  (assume @p15 @t39)
% 0.87/1.10  (assume @p16 @t44)
% 0.87/1.10  (assume @p17 @t45)
% 0.87/1.10  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2)))))))
% 0.87/1.10  (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t46)))))))))))
% 0.87/1.10  (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2)))))))))
% 0.87/1.10  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40)))))))
% 0.87/1.10  (assume @p22 @t54)
% 0.87/1.10  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1))))))
% 0.87/1.10  (assume @p24 @t59)
% 0.87/1.10  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2))))))
% 0.87/1.10  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t60))))))
% 0.87/1.10  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t61) (tptp.app @t47 @t2)))))))))
% 0.87/1.10  (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2))))
% 0.87/1.10  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t63 @t62) @t3))))))
% 0.87/1.10  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t63 @t26) (tptp.leq @t2 @t12)))))))))
% 0.87/1.10  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 0.87/1.10  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 @t62))))))
% 0.87/1.10  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (not @t65)))))))
% 0.87/1.10  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t66 @t35) @t67))))))))
% 0.87/1.10  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 @t65))))))
% 0.87/1.10  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t69)))))))))
% 0.87/1.10  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t69)))))))))
% 0.87/1.10  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 0.87/1.10  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 0.87/1.10  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 0.87/1.10  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 0.87/1.10  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 0.87/1.10  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 0.87/1.10  (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10))))))))))))
% 0.87/1.10  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 0.87/1.10  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48))))
% 0.87/1.10  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 0.87/1.10  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 0.87/1.10  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 0.87/1.10  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t70 @t1)))))))))
% 0.87/1.10  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 0.87/1.10  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48))))
% 0.87/1.10  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 0.87/1.10  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 0.87/1.10  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 0.87/1.10  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t70 @t10) @t1)))))))))))
% 0.87/1.10  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 0.87/1.10  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48))))
% 0.87/1.10  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t71))))
% 0.87/1.10  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 0.87/1.10  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t71))))
% 0.87/1.10  (assume @p62 (tptp.totalorderP tptp.nil))
% 0.87/1.10  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t71))))
% 0.87/1.10  (assume @p64 (tptp.strictorderP tptp.nil))
% 0.87/1.10  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t71))))
% 0.87/1.10  (assume @p66 (tptp.totalorderedP tptp.nil))
% 0.87/1.10  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t75) (or @t73 (and @t74 (tptp.totalorderedP @t1) (tptp.leq @t2 @t72)))))))))
% 0.87/1.10  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t71))))
% 0.87/1.10  (assume @p69 (tptp.strictorderedP tptp.nil))
% 0.87/1.10  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t75) (or @t73 (and @t74 (tptp.strictorderedP @t1) (tptp.lt @t2 @t72)))))))))
% 0.87/1.10  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t71))))
% 0.87/1.10  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 0.87/1.10  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t71))))
% 0.87/1.10  (assume @p74 (tptp.equalelemsP tptp.nil))
% 0.87/1.10  (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1)))))))
% 0.87/1.10  (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1)))))))
% 0.87/1.10  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t74 @t51 (= @t72 @t49) (= @t76 @t55)) @t46))))))
% 0.87/1.10  (assume @p78 @t80)
% 0.87/1.10  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t81))))))))
% 0.87/1.10  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t61) @t81))))))))
% 0.87/1.10  (assume @p81 @t85)
% 0.87/1.10  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19)))))))))
% 0.87/1.10  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t73 @t48)))))))
% 0.87/1.10  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 0.87/1.10  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49)))))))
% 0.87/1.10  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1))))))))
% 0.87/1.10  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t64 (tptp.geq @t1 @t2)) @t3))))))
% 0.87/1.10  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 0.87/1.10  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 0.87/1.10  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 0.87/1.10  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t63 @t35) @t67))))))))
% 0.87/1.10  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t63 (or @t3 @t66)))))))
% 0.87/1.10  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 (and @t4 @t63)))))))
% 0.87/1.10  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t68 (not (tptp.gt @t1 @t2))))))))
% 0.87/1.10  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t68 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 0.87/1.10  (assume @p96 @t133)
% 0.87/1.10  (assume @p97 true)
% 0.87/1.10  (step @p98 :rule aci_norm :args ((= (or @t136 (or @t135 @t134)) @t137)))
% 0.87/1.10  (step @p99 :rule refl :args (@t134))
% 0.87/1.10  (step @p100 :rule bool-double-not-elim :args (@t135))
% 0.87/1.10  (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t139 @t134)))
% 0.87/1.10  (step @p102 :rule bool-impl-elim :args (@t138 @t134))
% 0.87/1.10  (step @p103 :rule trans :premises (@p102 @p101))
% 0.87/1.10  (step @p104 :rule refl :args (@t136))
% 0.87/1.10  (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t136 @t140)))
% 0.87/1.10  (step @p106 :rule trans :premises (@p105 @p98))
% 0.87/1.10  (step @p107 :rule bool-impl-elim :args (@t17 @t140))
% 0.87/1.10  (step @p108 :rule trans :premises (@p107 @p106))
% 0.87/1.10  (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t140))))
% 0.87/1.10  (step @p110 :rule eq-symm :args (@t77 @t2))
% 0.87/1.10  (step @p111 :rule eq-symm :args (tptp.nil @t2))
% 0.87/1.10  (step @p112 :rule cong :premises (@p111) :args (@t51))
% 0.87/1.10  (step @p113 :rule cong :premises (@p112 @p110) :args (@t78))
% 0.87/1.10  (step @p114 :rule refl :args (@t17))
% 0.87/1.10  (step @p115 :rule cong :premises (@p114 @p113) :args (@t79))
% 0.87/1.10  (step @p116 :rule cong :premises (@p115) :args (@t80))
% 0.87/1.10  (step @p117 :rule trans :premises (@p116 @p109))
% 0.87/1.10  (step @p118 :rule eq_resolve :premises (@p78 @p117))
% 0.87/1.10  (step @p119 :rule refl :args (@t161))
% 0.87/1.10  (step @p120 :rule eq-symm :args (@t157 tptp.nil))
% 0.87/1.10  (step @p121 :rule refl :args (@t163))
% 0.87/1.10  (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t165))
% 0.87/1.10  (step @p123 :rule refl :args (@t166))
% 0.87/1.10  (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t166 @t165)))
% 0.87/1.10  (assume-push @p804 @t166)
% 0.87/1.10  (step @p126 :rule instantiate :premises (@p118) :args (@t167))
% 0.87/1.10  (step-pop @p805 :rule scope :premises (@p126))
% 0.87/1.10  (step @p127 :rule process_scope :premises (@p805) :args (@t165))
% 0.87/1.10  (step @p129 :rule eq_resolve :premises (@p127 @p124))
% 0.87/1.10  (step @p130 :rule implies_elim :premises (@p129))
% 0.87/1.10  (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t169 @t170 (@list @t166)))
% 0.87/1.10  (step @p132 :rule aci_norm :args ((= @t175 (or @t136 @t173 @t172))))
% 0.87/1.10  (step @p133 :rule cong :premises (@p132) :args (@t176))
% 0.87/1.10  (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t178) @t176)))
% 0.87/1.10  (step @p135 :rule alpha_equiv :args (@t179 (@list @t171) @t180))
% 0.87/1.10  (step @p136 :rule nary_cong :premises (@p104 @p135) :args (@t181))
% 0.87/1.10  (step @p137 :rule quant-miniscope-or :args ((= @t178 @t181)))
% 0.87/1.10  (step @p138 :rule trans :premises (@p137 @p136))
% 0.87/1.10  (step @p139 :rule symm :premises (@p138))
% 0.87/1.10  (step @p140 :rule cong :premises (@p139) :args ((forall @t9 (or @t136 @t183))))
% 0.87/1.10  (step @p141 :rule trans :premises (@p140 @p134))
% 0.87/1.10  (step @p142 :rule trans :premises (@p141 @p133))
% 0.87/1.10  (step @p143 :rule bool-impl-elim :args (@t17 @t183))
% 0.87/1.10  (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t17 @t183))))
% 0.87/1.10  (step @p145 :rule trans :premises (@p144 @p142))
% 0.87/1.10  (step @p146 :rule bool-impl-elim :args (@t21 @t5))
% 0.87/1.10  (step @p147 :rule cong :premises (@p146) :args (@t37))
% 0.87/1.10  (step @p148 :rule cong :premises (@p114 @p147) :args (@t38))
% 0.87/1.10  (step @p149 :rule cong :premises (@p148) :args (@t39))
% 0.87/1.10  (step @p150 :rule trans :premises (@p149 @p145))
% 0.87/1.10  (step @p151 :rule eq_resolve :premises (@p15 @p150))
% 0.87/1.10  (step @p152 :rule instantiate :premises (@p151) :args ((@list tptp.nil @t157)))
% 0.87/1.10  (step @p153 :rule eq-symm :args (@t141 tptp.nil))
% 0.87/1.10  (step @p154 :rule refl :args (@t138))
% 0.87/1.10  (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t184))
% 0.87/1.10  (step @p156 :rule eq-symm :args (@t141 @t143))
% 0.87/1.10  (step @p157 :rule cong :premises (@p156) :args (@t185))
% 0.87/1.10  (step @p158 :rule refl :args (@t145))
% 0.87/1.10  (step @p159 :rule refl :args (@t146))
% 0.87/1.10  (step @p160 :rule refl :args (@t147))
% 0.87/1.10  (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157) :args (@t186))
% 0.87/1.10  (step @p162 :rule cong :premises (@p161) :args (@t187))
% 0.87/1.10  (step @p163 :rule cong :premises (@p162) :args (@t188))
% 0.87/1.10  (step @p164 :rule refl :args (@t152))
% 0.87/1.10  (step @p165 :rule refl :args (@t153))
% 0.87/1.10  (step @p166 :rule refl :args (@t154))
% 0.87/1.10  (step @p167 :rule refl :args (@t136))
% 0.87/1.10  (step @p168 :rule nary_cong :premises (@p167 @p166 @p165 @p164 @p163 @p155) :args (@t189))
% 0.87/1.10  (step @p169 :rule aci_norm :args ((= @t191 @t189)))
% 0.87/1.10  (step @p170 :rule trans :premises (@p169 @p168))
% 0.87/1.10  (step @p171 :rule cong :premises (@p170) :args (@t192))
% 0.87/1.10  (step @p172 :rule quant-merge-prenex :args ((= (forall @t9 @t194) @t192)))
% 0.87/1.10  (step @p173 :rule alpha_equiv :args (@t195 (@list @t141) @t180))
% 0.87/1.10  (step @p174 :rule nary_cong :premises (@p104 @p173) :args (@t196))
% 0.87/1.10  (step @p175 :rule quant-miniscope-or :args ((= @t194 @t196)))
% 0.87/1.10  (step @p176 :rule trans :premises (@p175 @p174))
% 0.87/1.10  (step @p177 :rule symm :premises (@p176))
% 0.87/1.10  (step @p178 :rule cong :premises (@p177) :args ((forall @t9 @t209)))
% 0.87/1.10  (step @p179 :rule trans :premises (@p178 @p172))
% 0.87/1.10  (step @p180 :rule trans :premises (@p179 @p171))
% 0.87/1.10  (step @p181 :rule aci_norm :args ((= (or @t136 @t209) @t209)))
% 0.87/1.10  (step @p182 :rule bool-impl-elim :args (@t17 @t209))
% 0.87/1.10  (step @p183 :rule trans :premises (@p182 @p181))
% 0.87/1.10  (step @p184 :rule cong :premises (@p183) :args ((forall @t9 (=> @t17 @t209))))
% 0.87/1.10  (step @p185 :rule trans :premises (@p184 @p180))
% 0.87/1.10  (step @p186 :rule quant-miniscope-or :args ((= (forall @t7 @t210) @t209)))
% 0.87/1.10  (step @p187 :rule aci_norm :args ((= @t211 @t210)))
% 0.87/1.10  (step @p188 :rule cong :premises (@p187) :args ((forall @t7 @t211)))
% 0.87/1.10  (step @p189 :rule trans :premises (@p188 @p186))
% 0.87/1.10  (step @p190 :rule aci_norm :args ((= (or @t182 @t212) @t211)))
% 0.87/1.10  (step @p191 :rule bool-impl-elim :args (@t21 @t212))
% 0.87/1.10  (step @p192 :rule trans :premises (@p191 @p190))
% 0.87/1.10  (step @p193 :rule cong :premises (@p192) :args ((forall @t7 (=> @t21 @t212))))
% 0.87/1.10  (step @p194 :rule trans :premises (@p193 @p189))
% 0.87/1.10  (step @p195 :rule aci_norm :args ((= (or @t121 @t207 @t182 @t213) @t212)))
% 0.87/1.10  (step @p196 :rule aci_norm :args ((= (or @t136 false @t200 @t198) @t213)))
% 0.87/1.10  (step @p197 :rule refl :args (@t198))
% 0.87/1.10  (step @p198 :rule refl :args (@t200))
% 0.87/1.10  (step @p199 :rule evaluate :args ((not true)))
% 0.87/1.10  (step @p200 :rule eq-refl :args (@t2))
% 0.87/1.10  (step @p201 :rule cong :premises (@p200) :args (@t214))
% 0.87/1.10  (step @p202 :rule trans :premises (@p201 @p199))
% 0.87/1.10  (step @p203 :rule nary_cong :premises (@p167 @p202 @p198 @p197) :args (@t215))
% 0.87/1.10  (step @p204 :rule trans :premises (@p203 @p196))
% 0.87/1.10  (step @p205 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t81) @t220 @t122 @t219 @t217)) @t215)))
% 0.87/1.10  (step @p206 :rule refl :args (@t217))
% 0.87/1.10  (step @p207 :rule refl :args (@t219))
% 0.87/1.10  (step @p208 :rule refl :args (@t122))
% 0.87/1.10  (step @p209 :rule refl :args (@t220))
% 0.87/1.10  (step @p210 :rule eq-symm :args (@t2 @t12))
% 0.87/1.10  (step @p211 :rule cong :premises (@p210) :args (@t122))
% 0.87/1.10  (step @p212 :rule nary_cong :premises (@p211 @p209 @p208 @p207 @p206) :args (@t221))
% 0.87/1.10  (step @p213 :rule aci_norm :args ((= @t222 @t221)))
% 0.87/1.10  (step @p214 :rule trans :premises (@p213 @p212))
% 0.87/1.10  (step @p215 :rule cong :premises (@p214) :args (@t223))
% 0.87/1.10  (step @p216 :rule trans :premises (@p215 @p205))
% 0.87/1.10  (step @p217 :rule trans :premises (@p216 @p204))
% 0.87/1.10  (step @p218 :rule refl :args (@t182))
% 0.87/1.10  (step @p219 :rule refl :args (@t207))
% 0.87/1.10  (step @p220 :rule refl :args (@t121))
% 0.87/1.10  (step @p221 :rule nary_cong :premises (@p220 @p219 @p218 @p217) :args (@t224))
% 0.87/1.10  (step @p222 :rule trans :premises (@p221 @p195))
% 0.87/1.10  (step @p223 :rule quant-miniscope-or :args ((= (forall @t16 @t225) @t224)))
% 0.87/1.10  (step @p224 :rule aci_norm :args ((= @t226 @t225)))
% 0.87/1.10  (step @p225 :rule cong :premises (@p224) :args ((forall @t16 @t226)))
% 0.87/1.10  (step @p226 :rule trans :premises (@p225 @p223))
% 0.87/1.10  (step @p227 :rule trans :premises (@p226 @p222))
% 0.87/1.10  (step @p228 :rule aci_norm :args ((= (or @t220 @t227) @t226)))
% 0.87/1.10  (step @p229 :rule bool-impl-elim :args (@t15 @t227))
% 0.87/1.10  (step @p230 :rule trans :premises (@p229 @p228))
% 0.87/1.10  (step @p231 :rule cong :premises (@p230) :args ((forall @t16 (=> @t15 @t227))))
% 0.87/1.10  (step @p232 :rule trans :premises (@p231 @p227))
% 0.87/1.10  (step @p233 :rule aci_norm :args ((= (or @t122 @t121 @t207 @t228) @t227)))
% 0.87/1.10  (step @p234 :rule aci_norm :args ((= (or @t182 false @t219 @t217) @t228)))
% 0.87/1.10  (step @p235 :rule refl :args (@t217))
% 0.87/1.10  (step @p236 :rule refl :args (@t219))
% 0.87/1.10  (step @p237 :rule eq-refl :args (@t1))
% 0.87/1.10  (step @p238 :rule cong :premises (@p237) :args (@t229))
% 0.87/1.10  (step @p239 :rule trans :premises (@p238 @p199))
% 0.87/1.10  (step @p240 :rule nary_cong :premises (@p218 @p239 @p236 @p235) :args (@t230))
% 0.87/1.10  (step @p241 :rule trans :premises (@p240 @p234))
% 0.87/1.10  (step @p242 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t235 @t123 @t234 @t231)) @t230)))
% 0.87/1.10  (step @p243 :rule refl :args (@t231))
% 0.87/1.10  (step @p244 :rule refl :args (@t234))
% 0.87/1.10  (step @p245 :rule refl :args (@t123))
% 0.87/1.10  (step @p246 :rule refl :args (@t235))
% 0.87/1.10  (step @p247 :rule eq-symm :args (@t1 @t10))
% 0.87/1.10  (step @p248 :rule cong :premises (@p247) :args (@t123))
% 0.87/1.10  (step @p249 :rule nary_cong :premises (@p248 @p246 @p245 @p244 @p243) :args (@t236))
% 0.87/1.10  (step @p250 :rule aci_norm :args ((= @t237 @t236)))
% 0.87/1.10  (step @p251 :rule trans :premises (@p250 @p249))
% 0.87/1.10  (step @p252 :rule cong :premises (@p251) :args (@t238))
% 0.87/1.10  (step @p253 :rule trans :premises (@p252 @p242))
% 0.87/1.10  (step @p254 :rule trans :premises (@p253 @p241))
% 0.87/1.10  (step @p255 :rule refl :args (@t122))
% 0.87/1.10  (step @p256 :rule nary_cong :premises (@p255 @p220 @p219 @p254) :args (@t239))
% 0.87/1.10  (step @p257 :rule trans :premises (@p256 @p233))
% 0.87/1.10  (step @p258 :rule quant-miniscope-or :args ((= (forall @t14 @t240) @t239)))
% 0.87/1.10  (step @p259 :rule aci_norm :args ((= @t241 @t240)))
% 0.87/1.10  (step @p260 :rule cong :premises (@p259) :args ((forall @t14 @t241)))
% 0.87/1.10  (step @p261 :rule trans :premises (@p260 @p258))
% 0.87/1.10  (step @p262 :rule trans :premises (@p261 @p257))
% 0.87/1.10  (step @p263 :rule aci_norm :args ((= (or @t235 (or @t123 @t122 @t121 @t207 @t234 @t231)) @t241)))
% 0.87/1.10  (step @p264 :rule bool-double-not-elim :args (@t203))
% 0.87/1.10  (step @p265 :rule bool-double-not-elim :args (@t17))
% 0.87/1.10  (step @p266 :rule bool-double-not-elim :args (@t204))
% 0.87/1.10  (step @p267 :rule bool-double-not-elim :args (@t205))
% 0.87/1.10  (step @p268 :rule bool-double-not-elim :args (@t206))
% 0.87/1.10  (step @p269 :rule bool-double-not-elim :args (@t102))
% 0.87/1.10  (step @p270 :rule nary_cong :premises (@p269 @p268 @p267 @p266 @p265 @p264) :args (@t253))
% 0.87/1.10  (step @p271 :rule aci_norm :args ((= (and @t252 (and @t250 (and @t248 (and @t246 (and @t244 @t243))))) @t253)))
% 0.87/1.10  (step @p272 :rule trans :premises (@p271 @p270))
% 0.87/1.10  (step @p273 :rule bool-or-de-morgan :args (@t136 @t242 false))
% 0.87/1.10  (step @p274 :rule refl :args (@t246))
% 0.87/1.10  (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((and @t246 (not @t254))))
% 0.87/1.10  (step @p276 :rule bool-or-de-morgan :args (@t245 @t136 (or @t242)))
% 0.87/1.10  (step @p277 :rule trans :premises (@p276 @p275))
% 0.87/1.10  (step @p278 :rule refl :args (@t248))
% 0.87/1.10  (step @p279 :rule nary_cong :premises (@p278 @p277) :args ((and @t248 (not (or @t245 @t136 @t242)))))
% 0.87/1.10  (step @p280 :rule bool-or-de-morgan :args (@t247 @t245 (or @t136 @t242)))
% 0.87/1.10  (step @p281 :rule trans :premises (@p280 @p279))
% 0.87/1.10  (step @p282 :rule refl :args (@t250))
% 0.87/1.10  (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((and @t250 (not (or @t247 @t245 @t136 @t242)))))
% 0.87/1.10  (step @p284 :rule bool-or-de-morgan :args (@t249 @t247 (or @t245 @t136 @t242)))
% 0.87/1.10  (step @p285 :rule trans :premises (@p284 @p283))
% 0.87/1.10  (step @p286 :rule refl :args (@t252))
% 0.87/1.10  (step @p287 :rule nary_cong :premises (@p286 @p285) :args ((and @t252 (not (or @t249 @t247 @t245 @t136 @t242)))))
% 0.87/1.10  (step @p288 :rule bool-or-de-morgan :args (@t251 @t249 (or @t247 @t245 @t136 @t242)))
% 0.87/1.10  (step @p289 :rule trans :premises (@p288 @p287))
% 0.87/1.10  (step @p290 :rule trans :premises (@p289 @p272))
% 0.87/1.10  (step @p291 :rule refl :args (@t121))
% 0.87/1.10  (step @p292 :rule nary_cong :premises (@p245 @p208 @p291 @p290 @p244 @p243) :args (@t256))
% 0.87/1.10  (step @p293 :rule nary_cong :premises (@p246 @p292) :args ((or @t235 @t256)))
% 0.87/1.10  (step @p294 :rule trans :premises (@p293 @p263))
% 0.87/1.10  (step @p295 :rule bool-impl-elim :args (@t13 @t256))
% 0.87/1.10  (step @p296 :rule trans :premises (@p295 @p294))
% 0.87/1.10  (step @p297 :rule cong :premises (@p296) :args ((forall @t14 (=> @t13 @t256))))
% 0.87/1.10  (step @p298 :rule trans :premises (@p297 @p262))
% 0.87/1.10  (step @p299 :rule eq-symm :args (tptp.nil @t10))
% 0.87/1.10  (step @p300 :rule eq-symm :args (tptp.nil @t12))
% 0.87/1.10  (step @p301 :rule cong :premises (@p300) :args (@t86))
% 0.87/1.10  (step @p302 :rule nary_cong :premises (@p301 @p299) :args (@t87))
% 0.87/1.10  (step @p303 :rule aci_norm :args ((= @t258 @t233)))
% 0.87/1.10  (step @p304 :rule cong :premises (@p303) :args (@t259))
% 0.87/1.10  (step @p305 :rule quant-merge-prenex :args ((= (forall @t100 @t261) @t259)))
% 0.87/1.10  (step @p306 :rule alpha_equiv :args (@t262 (@list @t142) (@list @t88)))
% 0.87/1.10  (step @p307 :rule refl :args (@t147))
% 0.87/1.10  (step @p308 :rule nary_cong :premises (@p307 @p306) :args (@t263))
% 0.87/1.10  (step @p309 :rule quant-miniscope-or :args ((= @t261 @t263)))
% 0.87/1.10  (step @p310 :rule trans :premises (@p309 @p308))
% 0.87/1.10  (step @p311 :rule symm :premises (@p310))
% 0.87/1.10  (step @p312 :rule cong :premises (@p311) :args ((forall @t100 (or @t147 @t268))))
% 0.87/1.10  (step @p313 :rule trans :premises (@p312 @p305))
% 0.87/1.10  (step @p314 :rule trans :premises (@p313 @p304))
% 0.87/1.10  (step @p315 :rule bool-double-not-elim :args (@t268))
% 0.87/1.10  (step @p316 :rule nary_cong :premises (@p307 @p315) :args ((or @t147 (not @t269))))
% 0.87/1.10  (step @p317 :rule bool-and-de-morgan :args (@t98 @t269 true))
% 0.87/1.10  (step @p318 :rule trans :premises (@p317 @p316))
% 0.87/1.10  (step @p319 :rule cong :premises (@p318) :args (@t271))
% 0.87/1.10  (step @p320 :rule trans :premises (@p319 @p314))
% 0.87/1.10  (step @p321 :rule cong :premises (@p320) :args (@t272))
% 0.87/1.10  (step @p322 :rule exists-elim :args ((= (exists @t100 @t270) @t272)))
% 0.87/1.10  (step @p323 :rule trans :premises (@p322 @p321))
% 0.87/1.10  (step @p324 :rule refl :args (@t265))
% 0.87/1.10  (step @p325 :rule bool-double-not-elim :args (@t266))
% 0.87/1.10  (step @p326 :rule refl :args (@t267))
% 0.87/1.10  (step @p327 :rule nary_cong :premises (@p326 @p325 @p324) :args (@t275))
% 0.87/1.10  (step @p328 :rule aci_norm :args ((= (or @t267 (or @t274 @t265)) @t275)))
% 0.87/1.10  (step @p329 :rule trans :premises (@p328 @p327))
% 0.87/1.10  (step @p330 :rule bool-and-de-morgan :args (@t273 @t264 true))
% 0.87/1.10  (step @p331 :rule nary_cong :premises (@p326 @p330) :args ((or @t267 (not (and @t273 @t264)))))
% 0.87/1.10  (step @p332 :rule bool-and-de-morgan :args (@t94 @t273 (and @t264)))
% 0.87/1.10  (step @p333 :rule trans :premises (@p332 @p331))
% 0.87/1.10  (step @p334 :rule trans :premises (@p333 @p329))
% 0.87/1.10  (step @p335 :rule cong :premises (@p334) :args (@t277))
% 0.87/1.10  (step @p336 :rule cong :premises (@p335) :args (@t278))
% 0.87/1.10  (step @p337 :rule exists-elim :args ((= (exists @t96 @t276) @t278)))
% 0.87/1.10  (step @p338 :rule trans :premises (@p337 @p336))
% 0.87/1.10  (step @p339 :rule eq-symm :args (@t91 @t10))
% 0.87/1.10  (step @p340 :rule eq-symm :args (@t92 @t12))
% 0.87/1.10  (step @p341 :rule cong :premises (@p340) :args (@t93))
% 0.87/1.10  (step @p342 :rule refl :args (@t94))
% 0.87/1.10  (step @p343 :rule nary_cong :premises (@p342 @p341 @p339) :args (@t95))
% 0.87/1.10  (step @p344 :rule cong :premises (@p343) :args (@t97))
% 0.87/1.10  (step @p345 :rule trans :premises (@p344 @p338))
% 0.87/1.10  (step @p346 :rule refl :args (@t98))
% 0.87/1.10  (step @p347 :rule nary_cong :premises (@p346 @p345) :args (@t99))
% 0.87/1.10  (step @p348 :rule cong :premises (@p347) :args (@t101))
% 0.87/1.10  (step @p349 :rule trans :premises (@p348 @p323))
% 0.87/1.10  (step @p350 :rule aci_norm :args ((= (or @t251 @t249 @t247 @t245 @t254) @t255)))
% 0.87/1.10  (step @p351 :rule aci_norm :args ((= (or @t136 false @t242) @t254)))
% 0.87/1.10  (step @p352 :rule refl :args (@t242))
% 0.87/1.10  (step @p353 :rule nary_cong :premises (@p167 @p202 @p352) :args (@t279))
% 0.87/1.10  (step @p354 :rule trans :premises (@p353 @p351))
% 0.87/1.10  (step @p355 :rule quant-var-elim-eq :args ((= (forall @t33 (or (not (= @t28 @t2)) @t282 @t281 @t280)) @t279)))
% 0.87/1.10  (step @p356 :rule refl :args (@t280))
% 0.87/1.10  (step @p357 :rule refl :args (@t281))
% 0.87/1.10  (step @p358 :rule refl :args (@t282))
% 0.87/1.10  (step @p359 :rule eq-symm :args (@t2 @t28))
% 0.87/1.10  (step @p360 :rule cong :premises (@p359) :args (@t281))
% 0.87/1.10  (step @p361 :rule nary_cong :premises (@p360 @p358 @p357 @p356) :args (@t283))
% 0.87/1.10  (step @p362 :rule aci_norm :args ((= @t284 @t283)))
% 0.87/1.10  (step @p363 :rule trans :premises (@p362 @p361))
% 0.87/1.10  (step @p364 :rule cong :premises (@p363) :args (@t285))
% 0.87/1.10  (step @p365 :rule trans :premises (@p364 @p355))
% 0.87/1.10  (step @p366 :rule trans :premises (@p365 @p354))
% 0.87/1.10  (step @p367 :rule refl :args (@t245))
% 0.87/1.10  (step @p368 :rule refl :args (@t247))
% 0.87/1.10  (step @p369 :rule refl :args (@t249))
% 0.87/1.10  (step @p370 :rule refl :args (@t251))
% 0.87/1.10  (step @p371 :rule nary_cong :premises (@p370 @p369 @p368 @p367 @p366) :args (@t286))
% 0.87/1.10  (step @p372 :rule trans :premises (@p371 @p350))
% 0.87/1.10  (step @p373 :rule quant-miniscope-or :args ((= (forall @t33 @t287) @t286)))
% 0.87/1.10  (step @p374 :rule aci_norm :args ((= @t288 @t287)))
% 0.87/1.10  (step @p375 :rule cong :premises (@p374) :args ((forall @t33 @t288)))
% 0.87/1.10  (step @p376 :rule trans :premises (@p375 @p373))
% 0.87/1.10  (step @p377 :rule trans :premises (@p376 @p372))
% 0.87/1.10  (step @p378 :rule aci_norm :args ((= (or @t282 @t281 @t289) @t288)))
% 0.87/1.10  (step @p379 :rule bool-double-not-elim :args (@t289))
% 0.87/1.10  (step @p380 :rule nary_cong :premises (@p358 @p357 @p379) :args (@t292))
% 0.87/1.10  (step @p381 :rule aci_norm :args ((= (or @t282 (or @t281 @t291)) @t292)))
% 0.87/1.10  (step @p382 :rule trans :premises (@p381 @p380))
% 0.87/1.10  (step @p383 :rule bool-and-de-morgan :args (@t118 @t290 true))
% 0.87/1.10  (step @p384 :rule nary_cong :premises (@p358 @p383) :args ((or @t282 (not (and @t118 @t290)))))
% 0.87/1.10  (step @p385 :rule bool-and-de-morgan :args (@t32 @t118 (and @t290)))
% 0.87/1.10  (step @p386 :rule trans :premises (@p385 @p384))
% 0.87/1.10  (step @p387 :rule trans :premises (@p386 @p382))
% 0.87/1.10  (step @p388 :rule trans :premises (@p387 @p378))
% 0.87/1.10  (step @p389 :rule cong :premises (@p388) :args (@t294))
% 0.87/1.10  (step @p390 :rule trans :premises (@p389 @p377))
% 0.87/1.10  (step @p391 :rule cong :premises (@p390) :args (@t295))
% 0.87/1.10  (step @p392 :rule exists-elim :args ((= (exists @t33 @t293) @t295)))
% 0.87/1.10  (step @p393 :rule trans :premises (@p392 @p391))
% 0.87/1.10  (step @p394 :rule aci_norm :args ((= (or @t251 @t249 @t247 @t296) @t289)))
% 0.87/1.10  (step @p395 :rule aci_norm :args ((= (or @t245 false @t280) @t296)))
% 0.87/1.10  (step @p396 :rule refl :args (@t280))
% 0.87/1.10  (step @p397 :rule eq-refl :args (@t76))
% 0.87/1.10  (step @p398 :rule cong :premises (@p397) :args (@t297))
% 0.87/1.10  (step @p399 :rule trans :premises (@p398 @p199))
% 0.87/1.10  (step @p400 :rule nary_cong :premises (@p367 @p399 @p396) :args (@t298))
% 0.87/1.10  (step @p401 :rule trans :premises (@p400 @p395))
% 0.87/1.10  (step @p402 :rule quant-var-elim-eq :args ((= (forall @t31 @t303) @t298)))
% 0.87/1.10  (step @p403 :rule aci_norm :args ((= @t304 @t303)))
% 0.87/1.10  (step @p404 :rule cong :premises (@p403) :args (@t305))
% 0.87/1.10  (step @p405 :rule trans :premises (@p404 @p402))
% 0.87/1.10  (step @p406 :rule trans :premises (@p405 @p401))
% 0.87/1.10  (step @p407 :rule nary_cong :premises (@p370 @p369 @p368 @p406) :args (@t306))
% 0.87/1.10  (step @p408 :rule trans :premises (@p407 @p394))
% 0.87/1.10  (step @p409 :rule quant-miniscope-or :args ((= (forall @t31 @t307) @t306)))
% 0.87/1.10  (step @p410 :rule aci_norm :args ((= @t308 @t307)))
% 0.87/1.10  (step @p411 :rule cong :premises (@p410) :args ((forall @t31 @t308)))
% 0.87/1.10  (step @p412 :rule trans :premises (@p411 @p409))
% 0.87/1.10  (step @p413 :rule trans :premises (@p412 @p408))
% 0.87/1.10  (step @p414 :rule aci_norm :args ((= (or @t302 @t309) @t308)))
% 0.87/1.10  (step @p415 :rule bool-double-not-elim :args (@t309))
% 0.87/1.10  (step @p416 :rule refl :args (@t302))
% 0.87/1.10  (step @p417 :rule nary_cong :premises (@p416 @p415) :args ((or @t302 (not @t310))))
% 0.87/1.10  (step @p418 :rule bool-and-de-morgan :args (@t30 @t310 true))
% 0.87/1.10  (step @p419 :rule trans :premises (@p418 @p417))
% 0.87/1.10  (step @p420 :rule trans :premises (@p419 @p414))
% 0.87/1.10  (step @p421 :rule cong :premises (@p420) :args (@t312))
% 0.87/1.10  (step @p422 :rule trans :premises (@p421 @p413))
% 0.87/1.10  (step @p423 :rule cong :premises (@p422) :args (@t313))
% 0.87/1.10  (step @p424 :rule exists-elim :args ((= (exists @t31 @t311) @t313)))
% 0.87/1.10  (step @p425 :rule trans :premises (@p424 @p423))
% 0.87/1.10  (step @p426 :rule aci_norm :args ((= (or @t301 @t251 @t249 @t314) @t309)))
% 0.87/1.10  (step @p427 :rule aci_norm :args ((= (or @t247 @t299 false) @t314)))
% 0.87/1.10  (step @p428 :rule eq-refl :args (@t201))
% 0.87/1.10  (step @p429 :rule cong :premises (@p428) :args (@t315))
% 0.87/1.10  (step @p430 :rule trans :premises (@p429 @p199))
% 0.87/1.10  (step @p431 :rule refl :args (@t299))
% 0.87/1.10  (step @p432 :rule nary_cong :premises (@p368 @p431 @p430) :args (@t316))
% 0.87/1.10  (step @p433 :rule trans :premises (@p432 @p427))
% 0.87/1.10  (step @p434 :rule quant-var-elim-eq :args ((= (forall @t114 @t321) @t316)))
% 0.87/1.10  (step @p435 :rule aci_norm :args ((= @t322 @t321)))
% 0.87/1.10  (step @p436 :rule cong :premises (@p435) :args (@t323))
% 0.87/1.10  (step @p437 :rule trans :premises (@p436 @p434))
% 0.87/1.10  (step @p438 :rule trans :premises (@p437 @p433))
% 0.87/1.10  (step @p439 :rule refl :args (@t301))
% 0.87/1.10  (step @p440 :rule nary_cong :premises (@p439 @p370 @p369 @p438) :args (@t324))
% 0.87/1.10  (step @p441 :rule trans :premises (@p440 @p426))
% 0.87/1.10  (step @p442 :rule quant-miniscope-or :args ((= (forall @t114 @t325) @t324)))
% 0.87/1.10  (step @p443 :rule aci_norm :args ((= @t326 @t325)))
% 0.87/1.10  (step @p444 :rule cong :premises (@p443) :args ((forall @t114 @t326)))
% 0.87/1.10  (step @p445 :rule trans :premises (@p444 @p442))
% 0.87/1.10  (step @p446 :rule trans :premises (@p445 @p441))
% 0.87/1.10  (step @p447 :rule aci_norm :args ((= (or @t320 @t301 @t319 @t327 @t251) @t326)))
% 0.87/1.10  (step @p448 :rule refl :args (@t251))
% 0.87/1.10  (step @p449 :rule bool-double-not-elim :args (@t327))
% 0.87/1.10  (step @p450 :rule refl :args (@t319))
% 0.87/1.10  (step @p451 :rule refl :args (@t301))
% 0.87/1.10  (step @p452 :rule refl :args (@t320))
% 0.87/1.10  (step @p453 :rule nary_cong :premises (@p452 @p451 @p450 @p449 @p448) :args (@t330))
% 0.87/1.10  (step @p454 :rule aci_norm :args ((= (or @t320 (or @t301 (or @t319 (or @t329 @t251)))) @t330)))
% 0.87/1.10  (step @p455 :rule trans :premises (@p454 @p453))
% 0.87/1.10  (step @p456 :rule bool-and-de-morgan :args (@t328 @t102 true))
% 0.87/1.10  (step @p457 :rule nary_cong :premises (@p450 @p456) :args ((or @t319 (not (and @t328 @t102)))))
% 0.87/1.10  (step @p458 :rule bool-and-de-morgan :args (@t318 @t328 (and @t102)))
% 0.87/1.10  (step @p459 :rule trans :premises (@p458 @p457))
% 0.87/1.10  (step @p460 :rule nary_cong :premises (@p451 @p459) :args ((or @t301 (not (and @t318 @t328 @t102)))))
% 0.87/1.10  (step @p461 :rule bool-and-de-morgan :args (@t300 @t318 (and @t328 @t102)))
% 0.87/1.10  (step @p462 :rule trans :premises (@p461 @p460))
% 0.87/1.10  (step @p463 :rule nary_cong :premises (@p452 @p462) :args ((or @t320 (not (and @t300 @t318 @t328 @t102)))))
% 0.87/1.10  (step @p464 :rule bool-and-de-morgan :args (@t112 @t300 (and @t318 @t328 @t102)))
% 0.87/1.10  (step @p465 :rule trans :premises (@p464 @p463))
% 0.87/1.10  (step @p466 :rule trans :premises (@p465 @p455))
% 0.87/1.10  (step @p467 :rule trans :premises (@p466 @p447))
% 0.87/1.10  (step @p468 :rule cong :premises (@p467) :args (@t332))
% 0.87/1.10  (step @p469 :rule trans :premises (@p468 @p446))
% 0.87/1.10  (step @p470 :rule cong :premises (@p469) :args (@t333))
% 0.87/1.10  (step @p471 :rule exists-elim :args ((= (exists @t114 @t331) @t333)))
% 0.87/1.10  (step @p472 :rule trans :premises (@p471 @p470))
% 0.87/1.10  (step @p473 :rule refl :args (@t102))
% 0.87/1.10  (step @p474 :rule aci_norm :args ((= (or @t251 @t334) @t327)))
% 0.87/1.10  (step @p475 :rule aci_norm :args ((= (or @t249 @t317 false) @t334)))
% 0.87/1.10  (step @p476 :rule eq-refl :args (@t72))
% 0.87/1.10  (step @p477 :rule cong :premises (@p476) :args (@t335))
% 0.87/1.10  (step @p478 :rule trans :premises (@p477 @p199))
% 0.87/1.10  (step @p479 :rule refl :args (@t317))
% 0.87/1.10  (step @p480 :rule nary_cong :premises (@p369 @p479 @p478) :args (@t336))
% 0.87/1.10  (step @p481 :rule trans :premises (@p480 @p475))
% 0.87/1.10  (step @p482 :rule quant-var-elim-eq :args ((= (forall @t109 (or (not (= @t103 @t72)) @t340 @t339 @t337)) @t336)))
% 0.87/1.10  (step @p483 :rule refl :args (@t337))
% 0.87/1.10  (step @p484 :rule refl :args (@t339))
% 0.87/1.10  (step @p485 :rule refl :args (@t340))
% 0.87/1.10  (step @p486 :rule eq-symm :args (@t72 @t103))
% 0.87/1.10  (step @p487 :rule cong :premises (@p486) :args (@t337))
% 0.87/1.10  (step @p488 :rule nary_cong :premises (@p487 @p485 @p484 @p483) :args (@t341))
% 0.87/1.10  (step @p489 :rule aci_norm :args ((= @t342 @t341)))
% 0.87/1.10  (step @p490 :rule trans :premises (@p489 @p488))
% 0.87/1.10  (step @p491 :rule cong :premises (@p490) :args (@t343))
% 0.87/1.10  (step @p492 :rule trans :premises (@p491 @p482))
% 0.87/1.10  (step @p493 :rule trans :premises (@p492 @p481))
% 0.87/1.10  (step @p494 :rule nary_cong :premises (@p370 @p493) :args (@t344))
% 0.87/1.10  (step @p495 :rule trans :premises (@p494 @p474))
% 0.87/1.10  (step @p496 :rule quant-miniscope-or :args ((= (forall @t109 @t345) @t344)))
% 0.87/1.10  (step @p497 :rule aci_norm :args ((= @t346 @t345)))
% 0.87/1.10  (step @p498 :rule cong :premises (@p497) :args ((forall @t109 @t346)))
% 0.87/1.10  (step @p499 :rule trans :premises (@p498 @p496))
% 0.87/1.10  (step @p500 :rule trans :premises (@p499 @p495))
% 0.87/1.10  (step @p501 :rule aci_norm :args ((= (or @t340 (or @t339 (or @t337 @t251))) @t346)))
% 0.87/1.10  (step @p502 :rule bool-and-de-morgan :args (@t104 @t102 true))
% 0.87/1.10  (step @p503 :rule nary_cong :premises (@p484 @p502) :args ((or @t339 (not (and @t104 @t102)))))
% 0.87/1.10  (step @p504 :rule bool-and-de-morgan :args (@t338 @t104 (and @t102)))
% 0.87/1.10  (step @p505 :rule trans :premises (@p504 @p503))
% 0.87/1.10  (step @p506 :rule nary_cong :premises (@p485 @p505) :args ((or @t340 (not (and @t338 @t104 @t102)))))
% 0.87/1.10  (step @p507 :rule bool-and-de-morgan :args (@t107 @t338 (and @t104 @t102)))
% 0.87/1.10  (step @p508 :rule trans :premises (@p507 @p506))
% 0.87/1.10  (step @p509 :rule trans :premises (@p508 @p501))
% 0.87/1.10  (step @p510 :rule cong :premises (@p509) :args (@t348))
% 0.87/1.10  (step @p511 :rule trans :premises (@p510 @p500))
% 0.87/1.10  (step @p512 :rule cong :premises (@p511) :args (@t349))
% 0.87/1.10  (step @p513 :rule exists-elim :args ((= (exists @t109 @t347) @t349)))
% 0.87/1.10  (step @p514 :rule trans :premises (@p513 @p512))
% 0.87/1.10  (step @p515 :rule refl :args (@t104))
% 0.87/1.10  (step @p516 :rule eq-symm :args (@t106 @t105))
% 0.87/1.10  (step @p517 :rule refl :args (@t107))
% 0.87/1.10  (step @p518 :rule nary_cong :premises (@p517 @p516 @p515 @p473) :args (@t108))
% 0.87/1.10  (step @p519 :rule cong :premises (@p518) :args (@t110))
% 0.87/1.10  (step @p520 :rule trans :premises (@p519 @p514))
% 0.87/1.10  (step @p521 :rule eq-symm :args (@t111 @t28))
% 0.87/1.10  (step @p522 :rule eq-symm :args (@t76 @t27))
% 0.87/1.10  (step @p523 :rule refl :args (@t112))
% 0.87/1.10  (step @p524 :rule nary_cong :premises (@p523 @p522 @p521 @p520 @p473) :args (@t113))
% 0.87/1.10  (step @p525 :rule cong :premises (@p524) :args (@t115))
% 0.87/1.10  (step @p526 :rule trans :premises (@p525 @p472))
% 0.87/1.10  (step @p527 :rule refl :args (@t30))
% 0.87/1.10  (step @p528 :rule nary_cong :premises (@p527 @p526) :args (@t116))
% 0.87/1.10  (step @p529 :rule cong :premises (@p528) :args (@t117))
% 0.87/1.10  (step @p530 :rule trans :premises (@p529 @p425))
% 0.87/1.10  (step @p531 :rule refl :args (@t118))
% 0.87/1.10  (step @p532 :rule refl :args (@t32))
% 0.87/1.10  (step @p533 :rule nary_cong :premises (@p532 @p531 @p530) :args (@t119))
% 0.87/1.10  (step @p534 :rule cong :premises (@p533) :args (@t120))
% 0.87/1.10  (step @p535 :rule trans :premises (@p534 @p393))
% 0.87/1.10  (step @p536 :rule refl :args (@t123))
% 0.87/1.10  (step @p537 :rule nary_cong :premises (@p536 @p255 @p220 @p535 @p349 @p302) :args (@t124))
% 0.87/1.10  (step @p538 :rule refl :args (@t13))
% 0.87/1.10  (step @p539 :rule cong :premises (@p538 @p537) :args (@t125))
% 0.87/1.10  (step @p540 :rule cong :premises (@p539) :args (@t126))
% 0.87/1.10  (step @p541 :rule trans :premises (@p540 @p298))
% 0.87/1.10  (step @p542 :rule refl :args (@t15))
% 0.87/1.10  (step @p543 :rule cong :premises (@p542 @p541) :args (@t127))
% 0.87/1.10  (step @p544 :rule cong :premises (@p543) :args (@t128))
% 0.87/1.10  (step @p545 :rule trans :premises (@p544 @p232))
% 0.87/1.10  (step @p546 :rule refl :args (@t21))
% 0.87/1.10  (step @p547 :rule cong :premises (@p546 @p545) :args (@t129))
% 0.87/1.10  (step @p548 :rule cong :premises (@p547) :args (@t130))
% 0.87/1.10  (step @p549 :rule trans :premises (@p548 @p194))
% 0.87/1.10  (step @p550 :rule cong :premises (@p114 @p549) :args (@t131))
% 0.87/1.10  (step @p551 :rule cong :premises (@p550) :args (@t132))
% 0.87/1.10  (step @p552 :rule trans :premises (@p551 @p185))
% 0.87/1.10  (step @p553 :rule cong :premises (@p552) :args (@t133))
% 0.87/1.10  (step @p554 :rule eq_resolve :premises (@p96 @p553))
% 0.87/1.10  (step @p555 :rule refl :args (@t367))
% 0.87/1.10  (step @p556 :rule bool-double-not-elim :args (@t156))
% 0.87/1.10  (step @p557 :rule nary_cong :premises (@p556 @p555) :args ((or (not @t368) @t367)))
% 0.87/1.10  (step @p558 :rule refl :args (@t168))
% 0.87/1.10  (step @p559 :rule eq-symm :args (@t350 tptp.nil))
% 0.87/1.10  (step @p560 :rule cong :premises (@p559) :args (@t369))
% 0.87/1.10  (step @p561 :rule nary_cong :premises (@p560 @p558) :args (@t370))
% 0.87/1.10  (step @p562 :rule refl :args (@t351))
% 0.87/1.10  (step @p563 :rule eq-symm :args (@t350 @t144))
% 0.87/1.10  (step @p564 :rule nary_cong :premises (@p160 @p159 @p563 @p562) :args (@t371))
% 0.87/1.10  (step @p565 :rule cong :premises (@p564) :args (@t372))
% 0.87/1.10  (step @p566 :rule cong :premises (@p565) :args (@t373))
% 0.87/1.10  (step @p567 :rule refl :args (@t362))
% 0.87/1.10  (step @p568 :rule refl :args (@t364))
% 0.87/1.10  (step @p569 :rule refl :args (@t365))
% 0.87/1.10  (step @p570 :rule nary_cong :premises (@p569 @p121 @p568 @p567 @p566 @p561) :args (@t374))
% 0.87/1.10  (step @p571 :rule cong :premises (@p570) :args (@t375))
% 0.87/1.10  (step @p572 :rule refl :args (@t368))
% 0.87/1.10  (step @p573 :rule cong :premises (@p572 @p571) :args ((=> @t368 @t375)))
% 0.87/1.10  (assume-push @p806 @t368)
% 0.87/1.10  (step @p575 :rule skolemize :premises (@p554))
% 0.87/1.10  (step-pop @p807 :rule scope :premises (@p575))
% 0.87/1.10  (step @p576 :rule process_scope :premises (@p807) :args (@t375))
% 0.87/1.10  (step @p578 :rule eq_resolve :premises (@p576 @p573))
% 0.87/1.10  (step @p579 :rule implies_elim :premises (@p578))
% 0.87/1.10  (step @p580 :rule eq_resolve :premises (@p579 @p557))
% 0.87/1.10  (step @p581 :rule chain_m_resolution :premises (@p580 @p554) :args (@t367 @t376 (@list @t156)))
% 0.87/1.10  (step @p582 :rule bool-double-not-elim :args (@t162))
% 0.87/1.10  (step @p583 :rule refl :args (@t366))
% 0.87/1.10  (step @p584 :rule nary_cong :premises (@p583 @p582) :args ((or @t366 (not @t163))))
% 0.87/1.10  (step @p585 :rule cnf_or_neg :args (@t366 1))
% 0.87/1.10  (step @p586 :rule eq_resolve :premises (@p585 @p584))
% 0.87/1.10  (step @p587 :rule reordering :premises (@p586) :args ((or @t162 @t366)))
% 0.87/1.10  (step @p588 :rule chain_m_resolution :premises (@p587 @p581) :args (@t162 @t376 @t377))
% 0.87/1.10  (step @p589 :rule cnf_or_pos :args (@t381))
% 0.87/1.10  (step @p590 :rule reordering :premises (@p589) :args ((or @t380 @t163 @t379 (not @t381))))
% 0.87/1.10  (step @p591 :rule chain_m_resolution :premises (@p590 @p17 @p588 @p152) :args (@t379 @t382 (@list @t45 @t162 @t381)))
% 0.87/1.10  (step @p592 :rule bool-double-not-elim :args (@t168))
% 0.87/1.10  (step @p593 :rule refl :args (@t361))
% 0.87/1.10  (step @p594 :rule refl :args (@t383))
% 0.87/1.10  (step @p595 :rule nary_cong :premises (@p594 @p593 @p592) :args ((or @t383 @t361 (not @t378))))
% 0.87/1.10  (step @p596 :rule cnf_equiv_pos2 :args (@t379))
% 0.87/1.10  (step @p597 :rule eq_resolve :premises (@p596 @p595))
% 0.87/1.10  (step @p598 :rule reordering :premises (@p597) :args ((or @t361 @t168 @t383)))
% 0.87/1.10  (step @p599 :rule bool-double-not-elim :args (@t363))
% 0.87/1.10  (step @p600 :rule nary_cong :premises (@p583 @p599) :args ((or @t366 (not @t364))))
% 0.87/1.10  (step @p601 :rule cnf_or_neg :args (@t366 2))
% 0.87/1.10  (step @p602 :rule eq_resolve :premises (@p601 @p600))
% 0.87/1.10  (step @p603 :rule reordering :premises (@p602) :args ((or @t363 @t366)))
% 0.87/1.10  (step @p604 :rule chain_m_resolution :premises (@p603 @p581) :args (@t363 @t376 @t377))
% 0.87/1.10  (step @p605 :rule bool-double-not-elim :args (@t361))
% 0.87/1.10  (step @p606 :rule refl :args (@t378))
% 0.87/1.10  (step @p607 :rule nary_cong :premises (@p568 @p606 @p605) :args ((or @t364 @t378 (not @t384))))
% 0.87/1.10  (assume-push @p808 @t384)
% 0.87/1.10  (assume-push @p809 @t168)
% 0.87/1.10  (assume-push @p810 @t363)
% 0.87/1.10  (step @p611 :rule evaluate :args ((= true false)))
% 0.87/1.10  (step @p612 :rule false_intro :premises (@p808))
% 0.87/1.10  (step @p613 :rule symm :premises (@p809))
% 0.87/1.10  (step @p614 :rule cong :premises (@p613 @p809) :args (@t363))
% 0.87/1.10  (step @p615 :rule true_intro :premises (@p604))
% 0.87/1.10  (step @p616 :rule symm :premises (@p615))
% 0.87/1.10  (step @p617 :rule trans :premises (@p616 @p614 @p612))
% 0.87/1.10  (step @p618 false :rule eq_resolve :premises (@p617 @p611))
% 0.87/1.10  (step-pop @p811 :rule scope :premises (@p618))
% 0.87/1.10  (step-pop @p812 :rule scope :premises (@p811))
% 0.87/1.10  (step-pop @p813 :rule scope :premises (@p812))
% 0.87/1.10  (step @p619 :rule process_scope :premises (@p813) :args (false))
% 0.87/1.10  (assume-push @p814 @t363)
% 0.87/1.10  (assume-push @p815 @t168)
% 0.87/1.10  (assume-push @p816 @t384)
% 0.87/1.10  (step @p626 :rule and_intro :premises (@p816 @p815 @p604))
% 0.87/1.10  (step-pop @p817 :rule scope :premises (@p626))
% 0.87/1.10  (step-pop @p818 :rule scope :premises (@p817))
% 0.87/1.10  (step-pop @p819 :rule scope :premises (@p818))
% 0.87/1.10  (step @p627 :rule process_scope :premises (@p819) :args (@t385))
% 0.87/1.10  (step @p631 :rule implies_elim :premises (@p627))
% 0.87/1.10  (step @p632 :rule resolution :premises (@p631 @p619) :args (true @t385))
% 0.87/1.10  (step @p633 :rule not_and :premises (@p632))
% 0.87/1.10  (step @p634 :rule eq_resolve :premises (@p633 @p607))
% 0.87/1.10  (step @p635 :rule reordering :premises (@p634) :args ((or @t364 @t361 @t378)))
% 0.87/1.10  (step @p636 :rule chain_m_resolution :premises (@p635 @p604 @p598 @p591) :args (@t361 @t382 (@list @t363 @t168 @t379)))
% 0.87/1.10  (step @p637 :rule cnf_equiv_pos1 :args (@t379))
% 0.87/1.10  (step @p638 :rule reordering :premises (@p637) :args ((or @t384 @t378 @t383)))
% 0.87/1.10  (step @p639 :rule chain_m_resolution :premises (@p638 @p636 @p591) :args (@t378 (@list false false) (@list @t361 @t379)))
% 0.87/1.10  (step @p640 :rule cnf_or_pos :args (@t169))
% 0.87/1.10  (step @p641 :rule reordering :premises (@p640) :args ((or @t163 @t168 @t161 (not @t169))))
% 0.87/1.10  (step @p642 :rule chain_m_resolution :premises (@p641 @p588 @p639 @p131) :args (@t161 @t386 (@list @t162 @t168 @t169)))
% 0.87/1.10  (step @p643 :rule aci_norm :args ((= @t391 (or @t136 @t389 @t388))))
% 0.87/1.10  (step @p644 :rule cong :premises (@p643) :args (@t392))
% 0.87/1.10  (step @p645 :rule quant-merge-prenex :args ((= (forall @t9 @t394) @t392)))
% 0.87/1.10  (step @p646 :rule alpha_equiv :args (@t395 (@list @t387) @t180))
% 0.87/1.10  (step @p647 :rule nary_cong :premises (@p104 @p646) :args (@t396))
% 0.87/1.10  (step @p648 :rule quant-miniscope-or :args ((= @t394 @t396)))
% 0.87/1.10  (step @p649 :rule trans :premises (@p648 @p647))
% 0.87/1.10  (step @p650 :rule symm :premises (@p649))
% 0.87/1.10  (step @p651 :rule cong :premises (@p650) :args ((forall @t9 (or @t136 @t398))))
% 0.87/1.10  (step @p652 :rule trans :premises (@p651 @p645))
% 0.87/1.10  (step @p653 :rule trans :premises (@p652 @p644))
% 0.87/1.10  (step @p654 :rule bool-impl-elim :args (@t17 @t398))
% 0.87/1.10  (step @p655 :rule cong :premises (@p654) :args ((forall @t9 (=> @t17 @t398))))
% 0.87/1.10  (step @p656 :rule trans :premises (@p655 @p653))
% 0.87/1.10  (step @p657 :rule bool-impl-elim :args (@t6 @t82))
% 0.87/1.10  (step @p658 :rule cong :premises (@p657) :args (@t83))
% 0.87/1.10  (step @p659 :rule cong :premises (@p114 @p658) :args (@t84))
% 0.87/1.10  (step @p660 :rule cong :premises (@p659) :args (@t85))
% 0.87/1.10  (step @p661 :rule trans :premises (@p660 @p656))
% 0.87/1.10  (step @p662 :rule eq_resolve :premises (@p81 @p661))
% 0.87/1.10  (step @p663 :rule instantiate :premises (@p662) :args ((@list @t158 @t159)))
% 0.87/1.10  (step @p664 :rule aci_norm :args ((= (or @t136 (or @t135 @t56)) @t399)))
% 0.87/1.10  (step @p665 :rule refl :args (@t56))
% 0.87/1.10  (step @p666 :rule nary_cong :premises (@p100 @p665) :args ((or @t139 @t56)))
% 0.87/1.10  (step @p667 :rule bool-impl-elim :args (@t138 @t56))
% 0.87/1.10  (step @p668 :rule trans :premises (@p667 @p666))
% 0.87/1.10  (step @p669 :rule nary_cong :premises (@p104 @p668) :args ((or @t136 @t400)))
% 0.87/1.10  (step @p670 :rule trans :premises (@p669 @p664))
% 0.87/1.10  (step @p671 :rule bool-impl-elim :args (@t17 @t400))
% 0.87/1.10  (step @p672 :rule trans :premises (@p671 @p670))
% 0.87/1.10  (step @p673 :rule cong :premises (@p672) :args ((forall @t9 (=> @t17 @t400))))
% 0.87/1.10  (step @p674 :rule refl :args (@t56))
% 0.87/1.10  (step @p675 :rule cong :premises (@p112 @p674) :args (@t57))
% 0.87/1.10  (step @p676 :rule cong :premises (@p114 @p675) :args (@t58))
% 0.87/1.10  (step @p677 :rule cong :premises (@p676) :args (@t59))
% 0.87/1.10  (step @p678 :rule trans :premises (@p677 @p673))
% 0.87/1.10  (step @p679 :rule eq_resolve :premises (@p24 @p678))
% 0.87/1.10  (step @p680 :rule refl :args (@t358))
% 0.87/1.10  (step @p681 :rule nary_cong :premises (@p121 @p120 @p680) :args (@t401))
% 0.87/1.10  (step @p682 :rule refl :args (@t402))
% 0.87/1.10  (step @p683 :rule cong :premises (@p682 @p681) :args ((=> @t402 @t401)))
% 0.87/1.10  (assume-push @p820 @t402)
% 0.87/1.10  (step @p685 :rule instantiate :premises (@p679) :args (@t167))
% 0.87/1.10  (step-pop @p821 :rule scope :premises (@p685))
% 0.87/1.10  (step @p686 :rule process_scope :premises (@p821) :args (@t401))
% 0.87/1.10  (step @p688 :rule eq_resolve :premises (@p686 @p683))
% 0.87/1.10  (step @p689 :rule implies_elim :premises (@p688))
% 0.87/1.10  (step @p690 :rule chain_m_resolution :premises (@p689 @p679) :args (@t403 @t170 (@list @t402)))
% 0.87/1.10  (step @p691 :rule cnf_or_pos :args (@t403))
% 0.87/1.10  (step @p692 :rule reordering :premises (@p691) :args ((or @t163 @t358 @t168 (not @t403))))
% 0.87/1.10  (step @p693 :rule chain_m_resolution :premises (@p692 @p588 @p639 @p690) :args (@t358 @t386 (@list @t162 @t168 @t403)))
% 0.87/1.10  (step @p694 :rule aci_norm :args ((= (or @t136 (or @t135 @t50)) @t404)))
% 0.87/1.10  (step @p695 :rule refl :args (@t50))
% 0.87/1.10  (step @p696 :rule nary_cong :premises (@p100 @p695) :args ((or @t139 @t50)))
% 0.87/1.10  (step @p697 :rule bool-impl-elim :args (@t138 @t50))
% 0.87/1.10  (step @p698 :rule trans :premises (@p697 @p696))
% 0.87/1.10  (step @p699 :rule nary_cong :premises (@p104 @p698) :args ((or @t136 @t405)))
% 0.87/1.10  (step @p700 :rule trans :premises (@p699 @p694))
% 0.87/1.10  (step @p701 :rule bool-impl-elim :args (@t17 @t405))
% 0.87/1.10  (step @p702 :rule trans :premises (@p701 @p700))
% 0.87/1.10  (step @p703 :rule cong :premises (@p702) :args ((forall @t9 (=> @t17 @t405))))
% 0.87/1.10  (step @p704 :rule refl :args (@t50))
% 0.87/1.10  (step @p705 :rule cong :premises (@p112 @p704) :args (@t52))
% 0.87/1.10  (step @p706 :rule cong :premises (@p114 @p705) :args (@t53))
% 0.87/1.10  (step @p707 :rule cong :premises (@p706) :args (@t54))
% 0.87/1.10  (step @p708 :rule trans :premises (@p707 @p703))
% 0.87/1.10  (step @p709 :rule eq_resolve :premises (@p22 @p708))
% 0.87/1.10  (step @p710 :rule refl :args (@t360))
% 0.87/1.10  (step @p711 :rule nary_cong :premises (@p121 @p120 @p710) :args (@t406))
% 0.87/1.10  (step @p712 :rule refl :args (@t407))
% 0.87/1.10  (step @p713 :rule cong :premises (@p712 @p711) :args ((=> @t407 @t406)))
% 0.87/1.10  (assume-push @p822 @t407)
% 0.87/1.10  (step @p715 :rule instantiate :premises (@p709) :args (@t167))
% 0.87/1.10  (step-pop @p823 :rule scope :premises (@p715))
% 0.87/1.10  (step @p716 :rule process_scope :premises (@p823) :args (@t406))
% 0.87/1.10  (step @p718 :rule eq_resolve :premises (@p716 @p713))
% 0.87/1.10  (step @p719 :rule implies_elim :premises (@p718))
% 0.87/1.10  (step @p720 :rule chain_m_resolution :premises (@p719 @p709) :args (@t408 @t170 (@list @t407)))
% 0.87/1.10  (step @p721 :rule cnf_or_pos :args (@t408))
% 0.87/1.10  (step @p722 :rule reordering :premises (@p721) :args ((or @t163 @t360 @t168 (not @t408))))
% 0.87/1.10  (step @p723 :rule chain_m_resolution :premises (@p722 @p588 @p639 @p720) :args (@t360 @t386 (@list @t162 @t168 @t408)))
% 0.87/1.10  (step @p724 :rule cnf_or_pos :args (@t413))
% 0.87/1.10  (step @p725 :rule reordering :premises (@p724) :args ((or @t411 @t412 @t410 (not @t413))))
% 0.87/1.10  (step @p726 :rule chain_m_resolution :premises (@p725 @p723 @p693 @p663) :args (@t410 @t382 (@list @t360 @t358 @t413)))
% 0.87/1.10  (step @p727 :rule bool-double-not-elim :args (@t352))
% 0.87/1.10  (step @p728 :rule nary_cong :premises (@p583 @p727) :args ((or @t366 (not @t353))))
% 0.87/1.10  (step @p729 :rule cnf_or_neg :args (@t366 4))
% 0.87/1.10  (step @p730 :rule eq_resolve :premises (@p729 @p728))
% 0.87/1.10  (step @p731 :rule reordering :premises (@p730) :args ((or @t352 @t366)))
% 0.87/1.10  (step @p732 :rule chain_m_resolution :premises (@p731 @p581) :args (@t352 @t376 @t377))
% 0.87/1.10  (step @p733 :rule eq-symm :args (@t409 @t157))
% 0.87/1.10  (step @p734 :rule cong :premises (@p733) :args (@t414))
% 0.87/1.10  (step @p735 :rule eq-symm :args (@t355 @t350))
% 0.87/1.10  (step @p736 :rule refl :args (@t412))
% 0.87/1.10  (step @p737 :rule refl :args (@t411))
% 0.87/1.10  (step @p738 :rule nary_cong :premises (@p737 @p736 @p735 @p734) :args (@t415))
% 0.87/1.10  (step @p739 :rule refl :args (@t352))
% 0.87/1.10  (step @p740 :rule cong :premises (@p739 @p738) :args ((=> @t352 @t415)))
% 0.87/1.10  (assume-push @p824 @t352)
% 0.87/1.10  (step @p742 :rule instantiate :premises (@p732) :args ((@list @t159 @t158)))
% 0.87/1.10  (step-pop @p825 :rule scope :premises (@p742))
% 0.87/1.10  (step @p743 :rule process_scope :premises (@p825) :args (@t415))
% 0.87/1.10  (step @p745 :rule eq_resolve :premises (@p743 @p740))
% 0.87/1.10  (step @p746 :rule implies_elim :premises (@p745))
% 0.87/1.10  (step @p747 :rule chain_m_resolution :premises (@p746 @p732) :args (@t418 @t170 (@list @t352)))
% 0.87/1.11  (step @p748 :rule aci_norm :args ((= @t423 (or @t136 @t421 @t420))))
% 0.87/1.11  (step @p749 :rule cong :premises (@p748) :args (@t424))
% 0.87/1.11  (step @p750 :rule quant-merge-prenex :args ((= (forall @t9 @t426) @t424)))
% 0.87/1.11  (step @p751 :rule alpha_equiv :args (@t427 (@list @t419) @t180))
% 0.87/1.11  (step @p752 :rule nary_cong :premises (@p104 @p751) :args (@t428))
% 0.87/1.11  (step @p753 :rule quant-miniscope-or :args ((= @t426 @t428)))
% 0.87/1.11  (step @p754 :rule trans :premises (@p753 @p752))
% 0.87/1.11  (step @p755 :rule symm :premises (@p754))
% 0.87/1.11  (step @p756 :rule cong :premises (@p755) :args ((forall @t9 (or @t136 @t429))))
% 0.87/1.11  (step @p757 :rule trans :premises (@p756 @p750))
% 0.87/1.11  (step @p758 :rule trans :premises (@p757 @p749))
% 0.87/1.11  (step @p759 :rule bool-impl-elim :args (@t17 @t429))
% 0.87/1.11  (step @p760 :rule cong :premises (@p759) :args ((forall @t9 (=> @t17 @t429))))
% 0.87/1.11  (step @p761 :rule trans :premises (@p760 @p758))
% 0.87/1.11  (step @p762 :rule bool-impl-elim :args (@t6 @t41))
% 0.87/1.11  (step @p763 :rule cong :premises (@p762) :args (@t42))
% 0.87/1.11  (step @p764 :rule cong :premises (@p114 @p763) :args (@t43))
% 0.87/1.11  (step @p765 :rule cong :premises (@p764) :args (@t44))
% 0.87/1.11  (step @p766 :rule trans :premises (@p765 @p761))
% 0.87/1.11  (step @p767 :rule eq_resolve :premises (@p16 @p766))
% 0.87/1.11  (step @p768 :rule instantiate :premises (@p767) :args ((@list tptp.nil @t159)))
% 0.87/1.11  (step @p769 :rule cnf_or_pos :args (@t430))
% 0.87/1.11  (step @p770 :rule reordering :premises (@p769) :args ((or @t380 @t359 @t411 (not @t430))))
% 0.87/1.11  (step @p771 :rule chain_m_resolution :premises (@p770 @p17 @p723 @p768) :args (@t359 @t382 (@list @t45 @t360 @t430)))
% 0.87/1.11  (step @p772 :rule cnf_or_neg :args (@t366 3))
% 0.87/1.11  (step @p773 :rule chain_m_resolution :premises (@p772 @p581) :args ((not @t362) @t376 @t377))
% 0.87/1.11  (step @p774 :rule bool-double-not-elim :args (@t357))
% 0.87/1.11  (step @p775 :rule nary_cong :premises (@p583 @p774) :args ((or @t366 (not @t365))))
% 0.87/1.11  (step @p776 :rule cnf_or_neg :args (@t366 0))
% 0.87/1.11  (step @p777 :rule eq_resolve :premises (@p776 @p775))
% 0.87/1.11  (step @p778 :rule reordering :premises (@p777) :args ((or @t357 @t366)))
% 0.87/1.11  (step @p779 :rule chain_m_resolution :premises (@p778 @p581) :args (@t357 @t376 @t377))
% 0.87/1.11  (step @p780 :rule cnf_and_neg :args (@t362))
% 0.87/1.11  (step @p781 :rule reordering :premises (@p780) :args ((or @t365 @t362 @t384 @t411 (not @t359) @t412 @t431)))
% 0.87/1.11  (step @p782 :rule chain_m_resolution :premises (@p781 @p779 @p773 @p636 @p723 @p771 @p693) :args (@t431 (@list false true false false false false) (@list @t357 @t362 @t361 @t360 @t359 @t358)))
% 0.87/1.11  (step @p783 :rule cnf_or_pos :args (@t418))
% 0.87/1.11  (step @p784 :rule reordering :premises (@p783) :args ((or @t356 @t411 @t412 @t417 (not @t418))))
% 0.87/1.11  (step @p785 :rule chain_m_resolution :premises (@p784 @p782 @p723 @p693 @p747) :args (@t417 (@list true false false false) (@list @t356 @t360 @t358 @t418)))
% 0.87/1.11  (assume-push @p826 @t161)
% 0.87/1.11  (assume-push @p827 @t410)
% 0.87/1.11  (assume-push @p828 @t410)
% 0.87/1.11  (assume-push @p829 @t161)
% 0.87/1.11  (step @p790 :rule trans :premises (@p826 @p827))
% 0.87/1.11  (step-pop @p830 :rule scope :premises (@p790))
% 0.87/1.11  (step-pop @p831 :rule scope :premises (@p830))
% 0.87/1.11  (step @p791 :rule process_scope :premises (@p831) :args (@t416))
% 0.87/1.11  (step @p794 :rule and_intro :premises (@p827 @p826))
% 0.87/1.11  (step @p795 :rule modus_ponens :premises (@p794 @p791))
% 0.87/1.11  (step-pop @p832 :rule scope :premises (@p795))
% 0.87/1.11  (step-pop @p833 :rule scope :premises (@p832))
% 0.87/1.11  (step @p796 :rule process_scope :premises (@p833) :args (@t416))
% 0.87/1.11  (step @p799 :rule implies_elim :premises (@p796))
% 0.87/1.11  (step @p800 :rule cnf_and_neg :args (@t432))
% 0.87/1.11  (step @p801 :rule resolution :premises (@p800 @p799) :args (true @t432))
% 0.87/1.11  (step @p802 :rule reordering :premises (@p801) :args ((or (not @t161) @t416 (not @t410))))
% 0.87/1.11  (step @p803 false :rule chain_m_resolution :premises (@p802 @p785 @p726 @p642) :args (false (@list true false false) (@list @t416 @t410 @t161)))
% 0.87/1.11  )
% 0.87/1.11  % SZS output end Proof
% 0.87/1.11  % cvc5 exiting
%------------------------------------------------------------------------------