cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC311+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 08:58:49 AM UTC 2026

% Result   : Theorem 32.62s 32.89s
% Output   : Proof 28.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC311+1 : TPTP v9.2.1. Released v2.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n016.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 19:40:54 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.51  %----Proving TF0_NAR, FOF, or CNF
% 32.62/32.89  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 32.62/32.89  --- Run --no-e-matching --full-saturate-quant at 6...
% 32.62/32.89  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 32.62/32.89  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 32.62/32.89  % SZS status Theorem
% 32.62/32.89  % SZS output start Proof
% 32.62/32.89  (
% 32.62/32.89  (declare-sort $$unsorted 0)
% 32.62/32.89  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 32.62/32.89  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 32.62/32.89  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 32.62/32.89  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 32.62/32.89  (declare-const tptp.nil $$unsorted)
% 32.62/32.89  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.ssList (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 32.62/32.89  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 32.62/32.89  (define @t1 () (@var "V" $$unsorted))
% 32.62/32.89  (define @t2 () (@var "U" $$unsorted))
% 32.62/32.89  (define @t3 () (= @t2 @t1))
% 32.62/32.89  (define @t4 () (not @t3))
% 32.62/32.89  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 32.62/32.89  (define @t6 () (tptp.ssItem @t1))
% 32.62/32.89  (define @t7 () (@list @t1))
% 32.62/32.89  (define @t8 () (tptp.ssItem @t2))
% 32.62/32.89  (define @t9 () (@list @t2))
% 32.62/32.89  (define @t10 () (@var "X" $$unsorted))
% 32.62/32.89  (define @t11 () (tptp.cons @t1 @t10))
% 32.62/32.89  (define @t12 () (@var "W" $$unsorted))
% 32.62/32.89  (define @t13 () (tptp.ssList @t10))
% 32.62/32.89  (define @t14 () (@list @t10))
% 32.62/32.89  (define @t15 () (tptp.ssList @t12))
% 32.62/32.89  (define @t16 () (@list @t12))
% 32.62/32.89  (define @t17 () (tptp.ssList @t2))
% 32.62/32.89  (define @t18 () (tptp.cons @t1 tptp.nil))
% 32.62/32.89  (define @t19 () (tptp.app @t1 @t12))
% 32.62/32.89  (define @t20 () (tptp.frontsegP @t2 @t1))
% 32.62/32.89  (define @t21 () (tptp.ssList @t1))
% 32.62/32.89  (define @t22 () (tptp.app @t12 @t1))
% 32.62/32.89  (define @t23 () (tptp.rearsegP @t2 @t1))
% 32.62/32.89  (define @t24 () (tptp.segmentP @t2 @t1))
% 32.62/32.89  (define @t25 () (tptp.leq @t12 @t1))
% 32.62/32.89  (define @t26 () (tptp.leq @t1 @t12))
% 32.62/32.89  (define @t27 () (@var "Z" $$unsorted))
% 32.62/32.89  (define @t28 () (@var "Y" $$unsorted))
% 32.62/32.89  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 32.62/32.89  (define @t30 () (tptp.ssList @t27))
% 32.62/32.89  (define @t31 () (@list @t27))
% 32.62/32.89  (define @t32 () (tptp.ssList @t28))
% 32.62/32.89  (define @t33 () (@list @t28))
% 32.62/32.89  (define @t34 () (tptp.ssItem @t12))
% 32.62/32.89  (define @t35 () (tptp.lt @t1 @t12))
% 32.62/32.89  (define @t36 () (= @t1 @t12))
% 32.62/32.89  (define @t37 () (forall @t7 (=> @t21 @t5)))
% 32.62/32.89  (define @t38 () (=> @t17 @t37))
% 32.62/32.89  (define @t39 () (forall @t9 @t38))
% 32.62/32.89  (define @t40 () (tptp.cons @t1 @t2))
% 32.62/32.89  (define @t41 () (tptp.ssList @t40))
% 32.62/32.89  (define @t42 () (forall @t7 (=> @t6 @t41)))
% 32.62/32.89  (define @t43 () (=> @t17 @t42))
% 32.62/32.89  (define @t44 () (forall @t9 @t43))
% 32.62/32.89  (define @t45 () (tptp.ssList tptp.nil))
% 32.62/32.89  (define @t46 () (= @t1 @t2))
% 32.62/32.89  (define @t47 () (tptp.cons @t12 @t1))
% 32.62/32.89  (define @t48 () (= tptp.nil @t2))
% 32.62/32.89  (define @t49 () (tptp.hd @t2))
% 32.62/32.89  (define @t50 () (tptp.ssItem @t49))
% 32.62/32.89  (define @t51 () (not @t48))
% 32.62/32.89  (define @t52 () (=> @t51 @t50))
% 32.62/32.89  (define @t53 () (=> @t17 @t52))
% 32.62/32.89  (define @t54 () (forall @t9 @t53))
% 32.62/32.89  (define @t55 () (tptp.tl @t2))
% 32.62/32.89  (define @t56 () (tptp.ssList @t55))
% 32.62/32.89  (define @t57 () (=> @t51 @t56))
% 32.62/32.89  (define @t58 () (=> @t17 @t57))
% 32.62/32.89  (define @t59 () (forall @t9 @t58))
% 32.62/32.89  (define @t60 () (tptp.app @t2 @t1))
% 32.62/32.89  (define @t61 () (tptp.ssList @t60))
% 32.62/32.89  (define @t62 () (forall @t7 (=> @t21 @t61)))
% 32.62/32.89  (define @t63 () (=> @t17 @t62))
% 32.62/32.89  (define @t64 () (forall @t9 @t63))
% 32.62/32.89  (define @t65 () (tptp.app @t1 @t2))
% 32.62/32.89  (define @t66 () (tptp.leq @t1 @t2))
% 32.62/32.89  (define @t67 () (tptp.leq @t2 @t1))
% 32.62/32.89  (define @t68 () (tptp.geq @t2 @t1))
% 32.62/32.89  (define @t69 () (tptp.lt @t1 @t2))
% 32.62/32.89  (define @t70 () (tptp.lt @t2 @t1))
% 32.62/32.89  (define @t71 () (tptp.lt @t2 @t12))
% 32.62/32.89  (define @t72 () (tptp.gt @t2 @t1))
% 32.62/32.89  (define @t73 () (tptp.memberP @t12 @t2))
% 32.62/32.89  (define @t74 () (tptp.app @t12 @t2))
% 32.62/32.89  (define @t75 () (tptp.cons @t2 tptp.nil))
% 32.62/32.89  (define @t76 () (tptp.hd @t1))
% 32.62/32.89  (define @t77 () (= tptp.nil @t1))
% 32.62/32.89  (define @t78 () (not @t77))
% 32.62/32.89  (define @t79 () (tptp.cons @t2 @t1))
% 32.62/32.89  (define @t80 () (tptp.tl @t1))
% 32.62/32.89  (define @t81 () (tptp.cons @t49 @t55))
% 32.62/32.89  (define @t82 () (=> @t51 (= @t81 @t2)))
% 32.62/32.89  (define @t83 () (=> @t17 @t82))
% 32.62/32.89  (define @t84 () (forall @t9 @t83))
% 32.62/32.89  (define @t85 () (= @t12 @t2))
% 32.62/32.89  (define @t86 () (= @t40 (tptp.app @t18 @t2)))
% 32.62/32.89  (define @t87 () (forall @t7 (=> @t6 @t86)))
% 32.62/32.89  (define @t88 () (=> @t17 @t87))
% 32.62/32.89  (define @t89 () (forall @t9 @t88))
% 32.62/32.89  (define @t90 () (@var "X3" $$unsorted))
% 32.62/32.89  (define @t91 () (tptp.cons @t90 tptp.nil))
% 32.62/32.89  (define @t92 () (@var "X4" $$unsorted))
% 32.62/32.89  (define @t93 () (tptp.app @t92 @t91))
% 32.62/32.89  (define @t94 () (tptp.app @t91 @t92))
% 32.62/32.89  (define @t95 () (tptp.ssList @t92))
% 32.62/32.89  (define @t96 () (and @t95 (= @t94 @t1) (= @t93 @t2)))
% 32.62/32.89  (define @t97 () (@list @t92))
% 32.62/32.89  (define @t98 () (exists @t97 @t96))
% 32.62/32.89  (define @t99 () (tptp.ssItem @t90))
% 32.62/32.89  (define @t100 () (and @t99 @t98))
% 32.62/32.89  (define @t101 () (@list @t90))
% 32.62/32.89  (define @t102 () (exists @t101 @t100))
% 32.62/32.89  (define @t103 () (tptp.neq @t1 tptp.nil))
% 32.62/32.89  (define @t104 () (not @t103))
% 32.62/32.89  (define @t105 () (or @t104 @t102))
% 32.62/32.89  (define @t106 () (or @t78 @t48))
% 32.62/32.89  (define @t107 () (and @t106 @t105))
% 32.62/32.89  (define @t108 () (tptp.neq @t10 tptp.nil))
% 32.62/32.89  (define @t109 () (tptp.neq tptp.nil @t10))
% 32.62/32.89  (define @t110 () (@var "X2" $$unsorted))
% 32.62/32.89  (define @t111 () (tptp.hd @t10))
% 32.62/32.89  (define @t112 () (@var "X1" $$unsorted))
% 32.62/32.89  (define @t113 () (tptp.cons @t110 tptp.nil))
% 32.62/32.89  (define @t114 () (tptp.ssItem @t110))
% 32.62/32.89  (define @t115 () (and @t114 (= @t113 @t112) (= @t111 @t110) @t109))
% 32.62/32.89  (define @t116 () (@list @t110))
% 32.62/32.89  (define @t117 () (exists @t116 @t115))
% 32.62/32.89  (define @t118 () (tptp.app @t27 @t112))
% 32.62/32.89  (define @t119 () (tptp.tl @t10))
% 32.62/32.89  (define @t120 () (tptp.ssList @t112))
% 32.62/32.89  (define @t121 () (and @t120 (= @t119 @t27) (= @t118 @t28) @t117 @t109))
% 32.62/32.89  (define @t122 () (@list @t112))
% 32.62/32.89  (define @t123 () (exists @t122 @t121))
% 32.62/32.89  (define @t124 () (and @t30 @t123))
% 32.62/32.89  (define @t125 () (exists @t31 @t124))
% 32.62/32.89  (define @t126 () (= @t12 @t28))
% 32.62/32.89  (define @t127 () (not @t126))
% 32.62/32.89  (define @t128 () (and @t32 @t127 @t125))
% 32.62/32.89  (define @t129 () (exists @t33 @t128))
% 32.62/32.89  (define @t130 () (and @t129 @t108))
% 32.62/32.89  (define @t131 () (not (= tptp.nil @t12)))
% 32.62/32.89  (define @t132 () (and @t131 (= tptp.nil @t10)))
% 32.62/32.89  (define @t133 () (not (= @t2 @t12)))
% 32.62/32.89  (define @t134 () (not (= @t1 @t10)))
% 32.62/32.89  (define @t135 () (or @t134 @t133 @t132 @t130 @t107))
% 32.62/32.89  (define @t136 () (=> @t13 @t135))
% 32.62/32.89  (define @t137 () (forall @t14 @t136))
% 32.62/32.89  (define @t138 () (=> @t15 @t137))
% 32.62/32.89  (define @t139 () (forall @t16 @t138))
% 32.62/32.89  (define @t140 () (=> @t21 @t139))
% 32.62/32.89  (define @t141 () (forall @t7 @t140))
% 32.62/32.89  (define @t142 () (=> @t17 @t141))
% 32.62/32.89  (define @t143 () (forall @t9 @t142))
% 32.62/32.89  (define @t144 () (not @t143))
% 32.62/32.89  (define @t145 () (= @t2 @t81))
% 32.62/32.89  (define @t146 () (= @t2 tptp.nil))
% 32.62/32.89  (define @t147 () (not @t17))
% 32.62/32.89  (define @t148 () (or @t147 @t146 @t145))
% 32.62/32.89  (define @t149 () (not @t146))
% 32.62/32.89  (define @t150 () (not @t149))
% 32.62/32.89  (define @t151 () (=> @t149 @t145))
% 32.62/32.89  (define @t152 () (@var "BOUND_VARIABLE_11164" $$unsorted))
% 32.62/32.89  (define @t153 () (tptp.neq @t152 tptp.nil))
% 32.62/32.89  (define @t154 () (tptp.hd @t152))
% 32.62/32.89  (define @t155 () (tptp.cons @t154 tptp.nil))
% 32.62/32.89  (define @t156 () (tptp.tl @t152))
% 32.62/32.89  (define @t157 () (tptp.app @t156 @t155))
% 32.62/32.89  (define @t158 () (and (tptp.neq tptp.nil @t152) (tptp.ssItem @t154) (tptp.ssList @t155) (tptp.ssList @t156) (tptp.ssList @t157) (not (= @t2 @t157)) @t153))
% 32.62/32.89  (define @t159 () (= tptp.nil @t152))
% 32.62/32.89  (define @t160 () (@var "BOUND_VARIABLE_11089" $$unsorted))
% 32.62/32.89  (define @t161 () (tptp.app @t160 @t91))
% 32.62/32.89  (define @t162 () (not (= @t2 @t161)))
% 32.62/32.89  (define @t163 () (tptp.app @t91 @t160))
% 32.62/32.89  (define @t164 () (not (tptp.ssList @t160)))
% 32.62/32.89  (define @t165 () (not @t99))
% 32.62/32.89  (define @t166 () (@list @t90 @t160))
% 32.62/32.89  (define @t167 () (not @t153))
% 32.62/32.89  (define @t168 () (not (tptp.ssList @t152)))
% 32.62/32.89  (define @t169 () (@list @t2 @t152))
% 32.62/32.89  (define @t170 () (forall @t169 (or @t147 @t168 (and (or (not @t159) @t146) (or @t167 (not (forall @t166 (or @t165 @t164 (not (= @t163 @t152)) @t162))))) (and @t149 @t159) @t158)))
% 32.62/32.89  (define @t171 () (@quantifiers_skolemize @t170 1))
% 32.62/32.89  (define @t172 () (tptp.tl @t171))
% 32.62/32.89  (define @t173 () (tptp.hd @t171))
% 32.62/32.89  (define @t174 () (tptp.cons @t173 @t172))
% 32.62/32.89  (define @t175 () (= @t171 @t174))
% 32.62/32.89  (define @t176 () (tptp.ssList @t171))
% 32.62/32.89  (define @t177 () (not @t176))
% 32.62/32.89  (define @t178 () (= @t171 tptp.nil))
% 32.62/32.89  (define @t179 () (or @t177 @t178 @t175))
% 32.62/32.89  (define @t180 () (forall @t9 @t148))
% 32.62/32.89  (define @t181 () (@list @t171))
% 32.62/32.89  (define @t182 () (= tptp.nil @t171))
% 32.62/32.89  (define @t183 () (or @t177 @t182 @t175))
% 32.62/32.89  (define @t184 () (@list false))
% 32.62/32.89  (define @t185 () (= @t152 tptp.nil))
% 32.62/32.89  (define @t186 () (and @t149 @t185))
% 32.62/32.89  (define @t187 () (not (= @t152 @t163)))
% 32.62/32.89  (define @t188 () (or @t165 @t164 @t187 @t162))
% 32.62/32.89  (define @t189 () (forall @t166 @t188))
% 32.62/32.89  (define @t190 () (not @t189))
% 32.62/32.89  (define @t191 () (or @t167 @t190))
% 32.62/32.89  (define @t192 () (not @t185))
% 32.62/32.89  (define @t193 () (or @t192 @t146))
% 32.62/32.89  (define @t194 () (and @t193 @t191))
% 32.62/32.89  (define @t195 () (or @t147 @t168 @t194 @t186 @t158))
% 32.62/32.89  (define @t196 () (or @t168 @t194 @t186 @t158))
% 32.62/32.89  (define @t197 () (or @t147 @t196))
% 32.62/32.89  (define @t198 () (forall @t169 @t197))
% 32.62/32.89  (define @t199 () (@list @t152))
% 32.62/32.89  (define @t200 () (forall @t199 @t197))
% 32.62/32.89  (define @t201 () (forall @t199 @t196))
% 32.62/32.89  (define @t202 () (@list @t1))
% 32.62/32.89  (define @t203 () (or @t147 @t201))
% 32.62/32.89  (define @t204 () (tptp.cons @t76 tptp.nil))
% 32.62/32.89  (define @t205 () (tptp.app @t80 @t204))
% 32.62/32.89  (define @t206 () (tptp.ssList @t205))
% 32.62/32.89  (define @t207 () (tptp.ssList @t80))
% 32.62/32.89  (define @t208 () (tptp.ssList @t204))
% 32.62/32.89  (define @t209 () (tptp.ssItem @t76))
% 32.62/32.89  (define @t210 () (tptp.neq tptp.nil @t1))
% 32.62/32.89  (define @t211 () (and @t210 @t209 @t208 @t207 @t206 (not (= @t2 @t205)) @t103))
% 32.62/32.89  (define @t212 () (= @t1 tptp.nil))
% 32.62/32.89  (define @t213 () (and @t149 @t212))
% 32.62/32.89  (define @t214 () (not (= @t1 @t163)))
% 32.62/32.89  (define @t215 () (or @t165 @t164 @t214 @t162))
% 32.62/32.89  (define @t216 () (and (or (not @t212) @t146) (or @t104 (not (forall @t166 @t215)))))
% 32.62/32.89  (define @t217 () (not @t21))
% 32.62/32.89  (define @t218 () (or @t217 @t216 @t213 @t211))
% 32.62/32.89  (define @t219 () (or @t147 (forall @t7 @t218)))
% 32.62/32.89  (define @t220 () (or @t147 @t218))
% 32.62/32.89  (define @t221 () (or @t217 @t216 @t147 @t213 @t211))
% 32.62/32.89  (define @t222 () (or @t216 @t217 @t147 @t213 @t211))
% 32.62/32.89  (define @t223 () (or @t147 @t213 @t211))
% 32.62/32.89  (define @t224 () (not (= @t2 @t2)))
% 32.62/32.89  (define @t225 () (or @t147 @t224 @t213 @t211))
% 32.62/32.89  (define @t226 () (and @t210 @t209 @t208 @t207 @t206 (not (= @t12 @t205)) @t103))
% 32.62/32.89  (define @t227 () (not (= @t12 tptp.nil)))
% 32.62/32.89  (define @t228 () (and @t227 @t212))
% 32.62/32.89  (define @t229 () (not @t15))
% 32.62/32.89  (define @t230 () (or @t133 @t229 @t133 @t228 @t226))
% 32.62/32.89  (define @t231 () (or @t229 @t133 @t228 @t226))
% 32.62/32.89  (define @t232 () (forall @t16 @t231))
% 32.62/32.89  (define @t233 () (or @t216 @t217 @t232))
% 32.62/32.89  (define @t234 () (or @t216 @t217 @t231))
% 32.62/32.89  (define @t235 () (or @t229 @t133 @t216 @t217 @t228 @t226))
% 32.62/32.89  (define @t236 () (or @t133 @t216 @t217 @t228 @t226))
% 32.62/32.89  (define @t237 () (or @t217 @t228 @t226))
% 32.62/32.89  (define @t238 () (not (= @t1 @t1)))
% 32.62/32.89  (define @t239 () (or @t217 @t238 @t228 @t226))
% 32.62/32.89  (define @t240 () (tptp.cons @t111 tptp.nil))
% 32.62/32.89  (define @t241 () (tptp.app @t119 @t240))
% 32.62/32.89  (define @t242 () (= @t12 @t241))
% 32.62/32.90  (define @t243 () (not @t242))
% 32.62/32.90  (define @t244 () (tptp.ssList @t241))
% 32.62/32.90  (define @t245 () (tptp.ssList @t119))
% 32.62/32.90  (define @t246 () (tptp.ssList @t240))
% 32.62/32.90  (define @t247 () (tptp.ssItem @t111))
% 32.62/32.90  (define @t248 () (and @t109 @t247 @t246 @t245 @t244 @t243 @t108))
% 32.62/32.90  (define @t249 () (and @t227 (= @t10 tptp.nil)))
% 32.62/32.90  (define @t250 () (not @t13))
% 32.62/32.90  (define @t251 () (or @t134 @t250 @t134 @t249 @t248))
% 32.62/32.90  (define @t252 () (or @t250 @t134 @t249 @t248))
% 32.62/32.90  (define @t253 () (forall @t14 @t252))
% 32.62/32.90  (define @t254 () (or @t133 @t216 @t253))
% 32.62/32.90  (define @t255 () (or @t133 @t216 @t252))
% 32.62/32.90  (define @t256 () (or @t250 @t134 @t133 @t249 @t248 @t216))
% 32.62/32.90  (define @t257 () (not @t244))
% 32.62/32.90  (define @t258 () (not @t257))
% 32.62/32.90  (define @t259 () (not @t245))
% 32.62/32.90  (define @t260 () (not @t259))
% 32.62/32.90  (define @t261 () (not @t246))
% 32.62/32.90  (define @t262 () (not @t261))
% 32.62/32.90  (define @t263 () (not @t247))
% 32.62/32.90  (define @t264 () (not @t263))
% 32.62/32.90  (define @t265 () (not @t109))
% 32.62/32.90  (define @t266 () (not @t265))
% 32.62/32.90  (define @t267 () (and @t266 @t264 @t262 @t260 @t258 @t243))
% 32.62/32.90  (define @t268 () (or @t257 @t242))
% 32.62/32.90  (define @t269 () (or @t265 @t263 @t261 @t259 @t257 @t242))
% 32.62/32.90  (define @t270 () (and (not @t269) @t108))
% 32.62/32.90  (define @t271 () (or @t134 @t133 @t249 @t270 @t216))
% 32.62/32.90  (define @t272 () (or @t164 @t214 @t162))
% 32.62/32.90  (define @t273 () (or @t165 @t272))
% 32.62/32.90  (define @t274 () (forall @t166 @t273))
% 32.62/32.90  (define @t275 () (@list @t160))
% 32.62/32.90  (define @t276 () (forall @t275 @t273))
% 32.62/32.90  (define @t277 () (forall @t275 @t272))
% 32.62/32.90  (define @t278 () (or @t165 @t277))
% 32.62/32.90  (define @t279 () (= @t2 @t93))
% 32.62/32.90  (define @t280 () (not @t279))
% 32.62/32.90  (define @t281 () (= @t1 @t94))
% 32.62/32.90  (define @t282 () (not @t281))
% 32.62/32.90  (define @t283 () (not @t95))
% 32.62/32.90  (define @t284 () (or @t283 @t282 @t280))
% 32.62/32.90  (define @t285 () (forall @t97 @t284))
% 32.62/32.90  (define @t286 () (not @t285))
% 32.62/32.90  (define @t287 () (and @t99 @t286))
% 32.62/32.90  (define @t288 () (forall @t101 (not @t287)))
% 32.62/32.90  (define @t289 () (not @t288))
% 32.62/32.90  (define @t290 () (and @t95 @t281 @t279))
% 32.62/32.90  (define @t291 () (forall @t97 (not @t290)))
% 32.62/32.90  (define @t292 () (not @t291))
% 32.62/32.90  (define @t293 () (not (= @t241 @t241)))
% 32.62/32.90  (define @t294 () (or @t257 @t242 @t293))
% 32.62/32.90  (define @t295 () (not (= @t28 @t241)))
% 32.62/32.90  (define @t296 () (not @t32))
% 32.62/32.90  (define @t297 () (or @t295 @t296 @t126 @t295))
% 32.62/32.90  (define @t298 () (or @t296 @t126 @t295))
% 32.62/32.90  (define @t299 () (forall @t33 @t298))
% 32.62/32.90  (define @t300 () (or @t265 @t263 @t261 @t259 @t299))
% 32.62/32.90  (define @t301 () (or @t265 @t263 @t261 @t259 @t298))
% 32.62/32.90  (define @t302 () (or @t296 @t126 @t265 @t263 @t261 @t259 @t295))
% 32.62/32.90  (define @t303 () (or @t265 @t263 @t261 @t259 @t295))
% 32.62/32.90  (define @t304 () (not @t303))
% 32.62/32.90  (define @t305 () (not @t304))
% 32.62/32.90  (define @t306 () (not @t127))
% 32.62/32.90  (define @t307 () (or @t296 @t306 @t305))
% 32.62/32.90  (define @t308 () (and @t32 @t127 @t304))
% 32.62/32.90  (define @t309 () (forall @t33 (not @t308)))
% 32.62/32.90  (define @t310 () (not @t309))
% 32.62/32.90  (define @t311 () (or @t259 @t295))
% 32.62/32.90  (define @t312 () (not (= @t119 @t119)))
% 32.62/32.90  (define @t313 () (or @t259 @t312 @t295))
% 32.62/32.90  (define @t314 () (not (= @t28 (tptp.app @t27 @t240))))
% 32.62/32.90  (define @t315 () (= @t27 @t119))
% 32.62/32.90  (define @t316 () (not @t315))
% 32.62/32.90  (define @t317 () (not @t30))
% 32.62/32.90  (define @t318 () (or @t316 @t317 @t316 @t314))
% 32.62/32.90  (define @t319 () (or @t317 @t316 @t314))
% 32.62/32.90  (define @t320 () (forall @t31 @t319))
% 32.62/32.90  (define @t321 () (or @t265 @t263 @t261 @t320))
% 32.62/32.90  (define @t322 () (or @t265 @t263 @t261 @t319))
% 32.62/32.90  (define @t323 () (or @t317 @t316 @t265 @t263 @t261 @t314))
% 32.62/32.90  (define @t324 () (or @t316 @t265 @t263 @t261 @t314))
% 32.62/32.90  (define @t325 () (not @t324))
% 32.62/32.90  (define @t326 () (and @t30 @t325))
% 32.62/32.90  (define @t327 () (forall @t31 (not @t326)))
% 32.62/32.90  (define @t328 () (not @t327))
% 32.62/32.90  (define @t329 () (or @t261 @t314))
% 32.62/32.90  (define @t330 () (not (= @t240 @t240)))
% 32.62/32.90  (define @t331 () (or @t261 @t314 @t330))
% 32.62/32.90  (define @t332 () (not (= @t112 @t240)))
% 32.62/32.90  (define @t333 () (= @t28 @t118))
% 32.62/32.90  (define @t334 () (not @t333))
% 32.62/32.90  (define @t335 () (not @t120))
% 32.62/32.90  (define @t336 () (or @t332 @t335 @t334 @t332))
% 32.62/32.90  (define @t337 () (or @t335 @t334 @t332))
% 32.62/32.90  (define @t338 () (forall @t122 @t337))
% 32.62/32.90  (define @t339 () (or @t316 @t265 @t263 @t338))
% 32.62/32.90  (define @t340 () (or @t316 @t265 @t263 @t337))
% 32.62/32.90  (define @t341 () (or @t335 @t316 @t334 @t265 @t263 @t332))
% 32.62/32.90  (define @t342 () (or @t265 @t263 @t332))
% 32.62/32.90  (define @t343 () (not @t342))
% 32.62/32.90  (define @t344 () (not @t343))
% 32.62/32.90  (define @t345 () (or @t335 @t316 @t334 @t344 @t265))
% 32.62/32.90  (define @t346 () (and @t120 @t315 @t333 @t343 @t109))
% 32.62/32.90  (define @t347 () (forall @t122 (not @t346)))
% 32.62/32.90  (define @t348 () (not @t347))
% 32.62/32.90  (define @t349 () (or @t263 @t332))
% 32.62/32.90  (define @t350 () (not (= @t111 @t111)))
% 32.62/32.90  (define @t351 () (or @t263 @t332 @t350))
% 32.62/32.90  (define @t352 () (= @t110 @t111))
% 32.62/32.90  (define @t353 () (not @t352))
% 32.62/32.90  (define @t354 () (= @t112 @t113))
% 32.62/32.90  (define @t355 () (not @t354))
% 32.62/32.90  (define @t356 () (not @t114))
% 32.62/32.90  (define @t357 () (or @t353 @t356 @t355 @t353))
% 32.62/32.90  (define @t358 () (or @t356 @t355 @t353))
% 32.62/32.90  (define @t359 () (forall @t116 @t358))
% 32.62/32.90  (define @t360 () (or @t265 @t359))
% 32.62/32.90  (define @t361 () (or @t265 @t358))
% 32.62/32.90  (define @t362 () (or @t356 @t355 @t353 @t265))
% 32.62/32.90  (define @t363 () (and @t114 @t354 @t352 @t109))
% 32.62/32.90  (define @t364 () (forall @t116 (not @t363)))
% 32.62/32.90  (define @t365 () (not @t364))
% 32.62/32.90  (define @t366 () (tptp.neq @t171 tptp.nil))
% 32.62/32.90  (define @t367 () (tptp.cons @t173 tptp.nil))
% 32.62/32.90  (define @t368 () (tptp.app @t172 @t367))
% 32.62/32.90  (define @t369 () (@quantifiers_skolemize @t170 0))
% 32.62/32.90  (define @t370 () (= @t369 @t368))
% 32.62/32.90  (define @t371 () (not @t370))
% 32.62/32.90  (define @t372 () (tptp.ssList @t368))
% 32.62/32.90  (define @t373 () (tptp.ssList @t172))
% 32.62/32.90  (define @t374 () (tptp.ssList @t367))
% 32.62/32.90  (define @t375 () (tptp.ssItem @t173))
% 32.62/32.90  (define @t376 () (tptp.neq tptp.nil @t171))
% 32.62/32.90  (define @t377 () (and @t376 @t375 @t374 @t373 @t372 @t371 @t366))
% 32.62/32.90  (define @t378 () (= tptp.nil @t369))
% 32.62/32.90  (define @t379 () (not @t378))
% 32.62/32.90  (define @t380 () (and @t379 @t182))
% 32.62/32.90  (define @t381 () (not (= @t163 @t171)))
% 32.62/32.90  (define @t382 () (forall @t166 (or @t165 @t164 @t381 (not (= @t161 @t369)))))
% 32.62/32.90  (define @t383 () (not @t382))
% 32.62/32.90  (define @t384 () (not @t366))
% 32.62/32.90  (define @t385 () (or @t384 @t383))
% 32.62/32.90  (define @t386 () (not @t182))
% 32.62/32.90  (define @t387 () (or @t386 @t378))
% 32.62/32.90  (define @t388 () (and @t387 @t385))
% 32.62/32.90  (define @t389 () (not (tptp.ssList @t369)))
% 32.62/32.90  (define @t390 () (or @t389 @t177 @t388 @t380 @t377))
% 32.62/32.90  (define @t391 () (not @t390))
% 32.62/32.90  (define @t392 () (not @t170))
% 32.62/32.90  (define @t393 () (= @t369 tptp.nil))
% 32.62/32.90  (define @t394 () (not @t393))
% 32.62/32.90  (define @t395 () (and @t394 @t182))
% 32.62/32.90  (define @t396 () (not (= @t369 @t161)))
% 32.62/32.90  (define @t397 () (or @t165 @t164 @t381 @t396))
% 32.62/32.90  (define @t398 () (forall @t166 @t397))
% 32.62/32.90  (define @t399 () (not @t398))
% 32.62/32.90  (define @t400 () (or @t384 @t399))
% 32.62/32.90  (define @t401 () (or @t386 @t393))
% 32.62/32.90  (define @t402 () (and @t401 @t400))
% 32.62/32.90  (define @t403 () (or @t389 @t177 @t402 @t395 @t377))
% 32.62/32.90  (define @t404 () (not @t403))
% 32.62/32.90  (define @t405 () (@list true))
% 32.62/32.90  (define @t406 () (@list @t390))
% 32.62/32.90  (define @t407 () (@var "BOUND_VARIABLE_9138" $$unsorted))
% 32.62/32.90  (define @t408 () (= (tptp.neq @t2 @t407) (not (= @t2 @t407))))
% 32.62/32.90  (define @t409 () (not (tptp.ssList @t407)))
% 32.62/32.90  (define @t410 () (or @t147 @t409 @t408))
% 32.62/32.90  (define @t411 () (or @t409 @t408))
% 32.62/32.90  (define @t412 () (or @t147 @t411))
% 32.62/32.90  (define @t413 () (@list @t2 @t407))
% 32.62/32.90  (define @t414 () (forall @t413 @t412))
% 32.62/32.90  (define @t415 () (@list @t407))
% 32.62/32.90  (define @t416 () (forall @t415 @t412))
% 32.62/32.90  (define @t417 () (forall @t415 @t411))
% 32.62/32.90  (define @t418 () (or @t147 @t417))
% 32.62/32.90  (define @t419 () (forall @t7 (or @t217 @t5)))
% 32.62/32.90  (define @t420 () (tptp.neq tptp.nil tptp.nil))
% 32.62/32.90  (define @t421 () (not (= tptp.nil tptp.nil)))
% 32.62/32.90  (define @t422 () (= @t420 @t421))
% 32.62/32.90  (define @t423 () (not @t45))
% 32.62/32.90  (define @t424 () (or @t423 @t423 @t422))
% 32.62/32.90  (define @t425 () (forall @t413 @t410))
% 32.62/32.90  (define @t426 () (not @t420))
% 32.62/32.90  (define @t427 () (or @t423 @t423 @t426))
% 32.62/32.90  (define @t428 () (@list @t425))
% 32.62/32.90  (define @t429 () (and @t182 @t426))
% 32.62/32.90  (define @t430 () (@list false true false))
% 32.62/32.90  (define @t431 () (@var "BOUND_VARIABLE_10562" $$unsorted))
% 32.62/32.90  (define @t432 () (= (tptp.cons @t431 @t2) (tptp.app (tptp.cons @t431 tptp.nil) @t2)))
% 32.62/32.90  (define @t433 () (not (tptp.ssItem @t431)))
% 32.62/32.90  (define @t434 () (or @t433 @t432))
% 32.62/32.90  (define @t435 () (or @t147 @t434))
% 32.62/32.90  (define @t436 () (forall (@list @t2 @t431) @t435))
% 32.62/32.90  (define @t437 () (@list @t431))
% 32.62/32.90  (define @t438 () (forall @t437 @t435))
% 32.62/32.90  (define @t439 () (forall @t437 @t434))
% 32.62/32.90  (define @t440 () (or @t147 @t439))
% 32.62/32.90  (define @t441 () (not @t6))
% 32.62/32.90  (define @t442 () (forall @t7 (or @t441 @t86)))
% 32.62/32.90  (define @t443 () (or @t147 @t146 @t56))
% 32.62/32.90  (define @t444 () (=> @t149 @t56))
% 32.62/32.90  (define @t445 () (or @t177 @t178 @t373))
% 32.62/32.90  (define @t446 () (forall @t9 @t443))
% 32.62/32.90  (define @t447 () (or @t177 @t182 @t373))
% 32.62/32.90  (define @t448 () (or @t147 @t146 @t50))
% 32.62/32.90  (define @t449 () (=> @t149 @t50))
% 32.62/32.90  (define @t450 () (or @t177 @t178 @t375))
% 32.62/32.90  (define @t451 () (forall @t9 @t448))
% 32.62/32.90  (define @t452 () (or @t177 @t182 @t375))
% 32.62/32.90  (define @t453 () (tptp.app @t367 @t172))
% 32.62/32.90  (define @t454 () (= @t174 @t453))
% 32.62/32.90  (define @t455 () (not @t375))
% 32.62/32.90  (define @t456 () (not @t373))
% 32.62/32.90  (define @t457 () (or @t456 @t455 @t454))
% 32.62/32.90  (define @t458 () (@list false false false))
% 32.62/32.90  (define @t459 () (not @t386))
% 32.62/32.90  (define @t460 () (@list true false))
% 32.62/32.90  (define @t461 () (@list @t385))
% 32.62/32.90  (define @t462 () (not (= @t368 @t369)))
% 32.62/32.90  (define @t463 () (not (= @t453 @t171)))
% 32.62/32.90  (define @t464 () (or @t455 @t456 @t463 @t462))
% 32.62/32.90  (define @t465 () (= @t171 @t453))
% 32.62/32.90  (define @t466 () (not @t465))
% 32.62/32.90  (define @t467 () (or @t455 @t456 @t466 @t371))
% 32.62/32.90  (define @t468 () (@var "BOUND_VARIABLE_9403" $$unsorted))
% 32.62/32.90  (define @t469 () (tptp.ssList (tptp.app @t2 @t468)))
% 32.62/32.90  (define @t470 () (not (tptp.ssList @t468)))
% 32.62/32.90  (define @t471 () (or @t470 @t469))
% 32.62/32.90  (define @t472 () (or @t147 @t471))
% 32.62/32.90  (define @t473 () (forall (@list @t2 @t468) @t472))
% 32.62/32.90  (define @t474 () (@list @t468))
% 32.62/32.90  (define @t475 () (forall @t474 @t472))
% 32.62/32.90  (define @t476 () (forall @t474 @t471))
% 32.62/32.90  (define @t477 () (or @t147 @t476))
% 32.62/32.90  (define @t478 () (forall @t7 (or @t217 @t61)))
% 32.62/32.90  (define @t479 () (@var "BOUND_VARIABLE_9159" $$unsorted))
% 32.62/32.90  (define @t480 () (tptp.ssList (tptp.cons @t479 @t2)))
% 32.62/32.90  (define @t481 () (not (tptp.ssItem @t479)))
% 32.62/32.90  (define @t482 () (or @t481 @t480))
% 32.62/32.90  (define @t483 () (or @t147 @t482))
% 32.62/32.90  (define @t484 () (forall (@list @t2 @t479) @t483))
% 32.62/32.90  (define @t485 () (@list @t479))
% 32.62/32.90  (define @t486 () (forall @t485 @t483))
% 32.62/32.90  (define @t487 () (forall @t485 @t482))
% 32.62/32.90  (define @t488 () (or @t147 @t487))
% 32.62/32.90  (define @t489 () (forall @t7 (or @t441 @t41)))
% 32.62/32.90  (define @t490 () (or @t423 @t455 @t374))
% 32.62/32.90  (define @t491 () (not @t374))
% 32.62/32.90  (define @t492 () (or @t456 @t491 @t372))
% 32.62/32.90  (define @t493 () (or @t423 @t177 (= @t376 @t386)))
% 32.62/32.90  (define @t494 () (= @t386 @t376))
% 32.62/32.90  (define @t495 () (or @t423 @t177 @t494))
% 32.62/32.90  (define @t496 () (not @t494))
% 32.62/32.90  (define @t497 () (not @t372))
% 32.62/32.90  (define @t498 () (not @t376))
% 32.62/32.90  (define @t499 () (not @t454))
% 32.62/32.90  (define @t500 () (not @t175))
% 32.62/32.90  (define @t501 () (and @t466 @t454 @t175))
% 32.62/32.90  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 32.62/32.90  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 32.62/32.90  (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)))))))))))
% 32.62/32.90  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 32.62/32.90  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 32.62/32.90  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 32.62/32.90  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 32.62/32.90  (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)))))))))))))))))
% 32.62/32.90  (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))))))))))))))))
% 32.62/32.90  (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)))))))))))))))))
% 32.62/32.90  (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)))))))))))))))
% 32.62/32.90  (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)))))))))))))))
% 32.62/32.90  (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))))))))))))))))
% 32.62/32.90  (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)))))))))))))
% 32.62/32.90  (assume @p15 @t39)
% 32.62/32.90  (assume @p16 @t44)
% 32.62/32.90  (assume @p17 @t45)
% 32.62/32.90  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2)))))))
% 32.62/32.90  (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)))))))))))
% 32.62/32.90  (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2)))))))))
% 32.62/32.90  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40)))))))
% 32.62/32.90  (assume @p22 @t54)
% 32.62/32.90  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1))))))
% 32.62/32.90  (assume @p24 @t59)
% 32.62/32.90  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2))))))
% 32.62/32.90  (assume @p26 @t64)
% 32.62/32.90  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t65) (tptp.app @t47 @t2)))))))))
% 32.62/32.90  (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2))))
% 32.62/32.90  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 @t66) @t3))))))
% 32.62/32.90  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t26) (tptp.leq @t2 @t12)))))))))
% 32.62/32.90  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 32.62/32.90  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 @t66))))))
% 32.62/32.90  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not @t69)))))))
% 32.62/32.90  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t70 @t35) @t71))))))))
% 32.62/32.90  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t69))))))
% 32.62/32.90  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t73)))))))))
% 32.62/32.90  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t73)))))))))
% 32.62/32.90  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 32.62/32.90  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 32.62/32.90  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 32.62/32.90  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 32.62/32.90  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 32.62/32.90  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 32.62/32.90  (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))))))))))))
% 32.62/32.90  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 32.62/32.90  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48))))
% 32.62/32.90  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 32.62/32.90  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 32.62/32.90  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 32.62/32.90  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t74 @t1)))))))))
% 32.62/32.90  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 32.62/32.90  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48))))
% 32.62/32.90  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 32.62/32.90  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 32.62/32.90  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 32.62/32.90  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t74 @t10) @t1)))))))))))
% 32.62/32.90  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 32.62/32.90  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48))))
% 32.62/32.90  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t75))))
% 32.62/32.90  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 32.62/32.90  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t75))))
% 32.62/32.90  (assume @p62 (tptp.totalorderP tptp.nil))
% 32.62/32.90  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t75))))
% 32.62/32.90  (assume @p64 (tptp.strictorderP tptp.nil))
% 32.62/32.90  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t75))))
% 32.62/32.90  (assume @p66 (tptp.totalorderedP tptp.nil))
% 32.62/32.90  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t79) (or @t77 (and @t78 (tptp.totalorderedP @t1) (tptp.leq @t2 @t76)))))))))
% 32.62/32.90  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t75))))
% 32.62/32.90  (assume @p69 (tptp.strictorderedP tptp.nil))
% 32.62/32.90  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t79) (or @t77 (and @t78 (tptp.strictorderedP @t1) (tptp.lt @t2 @t76)))))))))
% 32.62/32.90  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t75))))
% 32.62/32.90  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 32.62/32.90  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t75))))
% 32.62/32.90  (assume @p74 (tptp.equalelemsP tptp.nil))
% 32.62/32.90  (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1)))))))
% 32.62/32.90  (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1)))))))
% 32.62/32.90  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t78 @t51 (= @t76 @t49) (= @t80 @t55)) @t46))))))
% 32.62/32.90  (assume @p78 @t84)
% 32.62/32.90  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t85))))))))
% 32.62/32.90  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t85))))))))
% 32.62/32.90  (assume @p81 @t89)
% 32.62/32.90  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19)))))))))
% 32.62/32.90  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t77 @t48)))))))
% 32.62/32.90  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 32.62/32.90  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49)))))))
% 32.62/32.90  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1))))))))
% 32.62/32.90  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t68 (tptp.geq @t1 @t2)) @t3))))))
% 32.62/32.90  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t68 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 32.62/32.90  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 32.62/32.90  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 32.62/32.90  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t71))))))))
% 32.62/32.90  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (or @t3 @t70)))))))
% 32.62/32.90  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 (and @t4 @t67)))))))
% 32.62/32.90  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not (tptp.gt @t1 @t2))))))))
% 32.62/32.90  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 32.62/32.90  (assume @p96 @t144)
% 32.62/32.90  (assume @p97 true)
% 32.62/32.90  (step @p98 :rule aci_norm :args ((= (or @t147 (or @t146 @t145)) @t148)))
% 32.62/32.90  (step @p99 :rule refl :args (@t145))
% 32.62/32.90  (step @p100 :rule bool-double-not-elim :args (@t146))
% 32.62/32.90  (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t150 @t145)))
% 32.62/32.90  (step @p102 :rule bool-impl-elim :args (@t149 @t145))
% 32.62/32.90  (step @p103 :rule trans :premises (@p102 @p101))
% 32.62/32.90  (step @p104 :rule refl :args (@t147))
% 32.62/32.90  (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t147 @t151)))
% 32.62/32.90  (step @p106 :rule trans :premises (@p105 @p98))
% 32.62/32.90  (step @p107 :rule bool-impl-elim :args (@t17 @t151))
% 32.62/32.90  (step @p108 :rule trans :premises (@p107 @p106))
% 32.62/32.90  (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t151))))
% 32.62/32.90  (step @p110 :rule eq-symm :args (@t81 @t2))
% 32.62/32.90  (step @p111 :rule eq-symm :args (tptp.nil @t2))
% 32.62/32.90  (step @p112 :rule cong :premises (@p111) :args (@t51))
% 32.62/32.90  (step @p113 :rule cong :premises (@p112 @p110) :args (@t82))
% 32.62/32.90  (step @p114 :rule refl :args (@t17))
% 32.62/32.90  (step @p115 :rule cong :premises (@p114 @p113) :args (@t83))
% 32.62/32.90  (step @p116 :rule cong :premises (@p115) :args (@t84))
% 32.62/32.90  (step @p117 :rule trans :premises (@p116 @p109))
% 32.62/32.90  (step @p118 :rule eq_resolve :premises (@p78 @p117))
% 32.62/32.90  (step @p119 :rule refl :args (@t175))
% 32.62/32.90  (step @p120 :rule eq-symm :args (@t171 tptp.nil))
% 32.62/32.90  (step @p121 :rule refl :args (@t177))
% 32.62/32.90  (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t179))
% 32.62/32.90  (step @p123 :rule refl :args (@t180))
% 32.62/32.90  (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t180 @t179)))
% 32.62/32.90  (assume-push @p895 @t180)
% 32.62/32.90  (step @p126 :rule instantiate :premises (@p118) :args (@t181))
% 32.62/32.90  (step-pop @p896 :rule scope :premises (@p126))
% 32.62/32.90  (step @p127 :rule process_scope :premises (@p896) :args (@t179))
% 32.62/32.90  (step @p129 :rule eq_resolve :premises (@p127 @p124))
% 32.62/32.90  (step @p130 :rule implies_elim :premises (@p129))
% 32.62/32.90  (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t183 @t184 (@list @t180)))
% 32.62/32.90  (step @p132 :rule refl :args (@t158))
% 32.62/32.90  (step @p133 :rule eq-symm :args (@t152 tptp.nil))
% 32.62/32.90  (step @p134 :rule refl :args (@t149))
% 32.62/32.90  (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t186))
% 32.62/32.90  (step @p136 :rule refl :args (@t162))
% 32.62/32.90  (step @p137 :rule eq-symm :args (@t152 @t163))
% 32.62/32.90  (step @p138 :rule cong :premises (@p137) :args (@t187))
% 32.62/32.90  (step @p139 :rule refl :args (@t164))
% 32.62/32.90  (step @p140 :rule refl :args (@t165))
% 32.62/32.90  (step @p141 :rule nary_cong :premises (@p140 @p139 @p138 @p136) :args (@t188))
% 32.62/32.90  (step @p142 :rule cong :premises (@p141) :args (@t189))
% 32.62/32.90  (step @p143 :rule cong :premises (@p142) :args (@t190))
% 32.62/32.90  (step @p144 :rule refl :args (@t167))
% 32.62/32.90  (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t191))
% 32.62/32.90  (step @p146 :rule refl :args (@t146))
% 32.62/32.90  (step @p147 :rule cong :premises (@p133) :args (@t192))
% 32.62/32.90  (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t193))
% 32.62/32.90  (step @p149 :rule nary_cong :premises (@p148 @p145) :args (@t194))
% 32.62/32.90  (step @p150 :rule refl :args (@t168))
% 32.62/32.90  (step @p151 :rule refl :args (@t147))
% 32.62/32.90  (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p135 @p132) :args (@t195))
% 32.62/32.90  (step @p153 :rule aci_norm :args ((= @t197 @t195)))
% 32.62/32.90  (step @p154 :rule trans :premises (@p153 @p152))
% 32.62/32.90  (step @p155 :rule cong :premises (@p154) :args (@t198))
% 32.62/32.90  (step @p156 :rule quant-merge-prenex :args ((= (forall @t9 @t200) @t198)))
% 32.62/32.90  (step @p157 :rule alpha_equiv :args (@t201 (@list @t152) @t202))
% 32.62/32.90  (step @p158 :rule nary_cong :premises (@p104 @p157) :args (@t203))
% 32.62/32.90  (step @p159 :rule quant-miniscope-or :args ((= @t200 @t203)))
% 32.62/32.90  (step @p160 :rule trans :premises (@p159 @p158))
% 32.62/32.90  (step @p161 :rule symm :premises (@p160))
% 32.62/32.90  (step @p162 :rule cong :premises (@p161) :args ((forall @t9 @t219)))
% 32.62/32.90  (step @p163 :rule trans :premises (@p162 @p156))
% 32.62/32.90  (step @p164 :rule trans :premises (@p163 @p155))
% 32.62/32.90  (step @p165 :rule aci_norm :args ((= (or @t147 @t219) @t219)))
% 32.62/32.90  (step @p166 :rule bool-impl-elim :args (@t17 @t219))
% 32.62/32.90  (step @p167 :rule trans :premises (@p166 @p165))
% 32.62/32.90  (step @p168 :rule cong :premises (@p167) :args ((forall @t9 (=> @t17 @t219))))
% 32.62/32.90  (step @p169 :rule trans :premises (@p168 @p164))
% 32.62/32.90  (step @p170 :rule quant-miniscope-or :args ((= (forall @t7 @t220) @t219)))
% 32.62/32.90  (step @p171 :rule aci_norm :args ((= @t221 @t220)))
% 32.62/32.90  (step @p172 :rule cong :premises (@p171) :args ((forall @t7 @t221)))
% 32.62/32.90  (step @p173 :rule trans :premises (@p172 @p170))
% 32.62/32.90  (step @p174 :rule aci_norm :args ((= (or @t217 @t222) @t221)))
% 32.62/32.90  (step @p175 :rule bool-impl-elim :args (@t21 @t222))
% 32.62/32.90  (step @p176 :rule trans :premises (@p175 @p174))
% 32.62/32.90  (step @p177 :rule cong :premises (@p176) :args ((forall @t7 (=> @t21 @t222))))
% 32.62/32.90  (step @p178 :rule trans :premises (@p177 @p173))
% 32.62/32.90  (step @p179 :rule aci_norm :args ((= (or @t216 @t217 @t223) @t222)))
% 32.62/32.90  (step @p180 :rule aci_norm :args ((= (or @t147 false @t213 @t211) @t223)))
% 32.62/32.90  (step @p181 :rule refl :args (@t211))
% 32.62/32.90  (step @p182 :rule refl :args (@t213))
% 32.62/32.90  (step @p183 :rule evaluate :args ((not true)))
% 32.62/32.90  (step @p184 :rule eq-refl :args (@t2))
% 32.62/32.90  (step @p185 :rule cong :premises (@p184) :args (@t224))
% 32.62/32.90  (step @p186 :rule trans :premises (@p185 @p183))
% 32.62/32.90  (step @p187 :rule nary_cong :premises (@p151 @p186 @p182 @p181) :args (@t225))
% 32.62/32.90  (step @p188 :rule trans :premises (@p187 @p180))
% 32.62/32.90  (step @p189 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t85) @t229 @t133 @t228 @t226)) @t225)))
% 32.62/32.90  (step @p190 :rule refl :args (@t226))
% 32.62/32.90  (step @p191 :rule refl :args (@t228))
% 32.62/32.90  (step @p192 :rule refl :args (@t133))
% 32.62/32.90  (step @p193 :rule refl :args (@t229))
% 32.62/32.90  (step @p194 :rule eq-symm :args (@t2 @t12))
% 32.62/32.90  (step @p195 :rule cong :premises (@p194) :args (@t133))
% 32.62/32.90  (step @p196 :rule nary_cong :premises (@p195 @p193 @p192 @p191 @p190) :args (@t230))
% 32.62/32.90  (step @p197 :rule aci_norm :args ((= @t231 @t230)))
% 32.62/32.90  (step @p198 :rule trans :premises (@p197 @p196))
% 32.62/32.90  (step @p199 :rule cong :premises (@p198) :args (@t232))
% 32.62/32.90  (step @p200 :rule trans :premises (@p199 @p189))
% 32.62/32.90  (step @p201 :rule trans :premises (@p200 @p188))
% 32.62/32.90  (step @p202 :rule refl :args (@t217))
% 32.62/32.90  (step @p203 :rule refl :args (@t216))
% 32.62/32.90  (step @p204 :rule nary_cong :premises (@p203 @p202 @p201) :args (@t233))
% 32.62/32.90  (step @p205 :rule trans :premises (@p204 @p179))
% 32.62/32.90  (step @p206 :rule quant-miniscope-or :args ((= (forall @t16 @t234) @t233)))
% 32.62/32.90  (step @p207 :rule aci_norm :args ((= @t235 @t234)))
% 32.62/32.90  (step @p208 :rule cong :premises (@p207) :args ((forall @t16 @t235)))
% 32.62/32.90  (step @p209 :rule trans :premises (@p208 @p206))
% 32.62/32.90  (step @p210 :rule trans :premises (@p209 @p205))
% 32.62/32.90  (step @p211 :rule aci_norm :args ((= (or @t229 @t236) @t235)))
% 32.62/32.90  (step @p212 :rule bool-impl-elim :args (@t15 @t236))
% 32.62/32.90  (step @p213 :rule trans :premises (@p212 @p211))
% 32.62/32.90  (step @p214 :rule cong :premises (@p213) :args ((forall @t16 (=> @t15 @t236))))
% 32.62/32.90  (step @p215 :rule trans :premises (@p214 @p210))
% 32.62/32.90  (step @p216 :rule aci_norm :args ((= (or @t133 @t216 @t237) @t236)))
% 32.62/32.90  (step @p217 :rule aci_norm :args ((= (or @t217 false @t228 @t226) @t237)))
% 32.62/32.90  (step @p218 :rule refl :args (@t226))
% 32.62/32.90  (step @p219 :rule refl :args (@t228))
% 32.62/32.90  (step @p220 :rule eq-refl :args (@t1))
% 32.62/32.90  (step @p221 :rule cong :premises (@p220) :args (@t238))
% 32.62/32.90  (step @p222 :rule trans :premises (@p221 @p183))
% 32.62/32.90  (step @p223 :rule nary_cong :premises (@p202 @p222 @p219 @p218) :args (@t239))
% 32.62/32.90  (step @p224 :rule trans :premises (@p223 @p217))
% 32.62/32.90  (step @p225 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t250 @t134 @t249 @t248)) @t239)))
% 32.62/32.90  (step @p226 :rule refl :args (@t248))
% 32.62/32.90  (step @p227 :rule refl :args (@t249))
% 32.62/32.90  (step @p228 :rule refl :args (@t134))
% 32.62/32.90  (step @p229 :rule refl :args (@t250))
% 32.62/32.90  (step @p230 :rule eq-symm :args (@t1 @t10))
% 32.62/32.90  (step @p231 :rule cong :premises (@p230) :args (@t134))
% 32.62/32.90  (step @p232 :rule nary_cong :premises (@p231 @p229 @p228 @p227 @p226) :args (@t251))
% 32.62/32.90  (step @p233 :rule aci_norm :args ((= @t252 @t251)))
% 32.62/32.90  (step @p234 :rule trans :premises (@p233 @p232))
% 32.62/32.90  (step @p235 :rule cong :premises (@p234) :args (@t253))
% 32.62/32.90  (step @p236 :rule trans :premises (@p235 @p225))
% 32.62/32.90  (step @p237 :rule trans :premises (@p236 @p224))
% 32.62/32.90  (step @p238 :rule refl :args (@t133))
% 32.62/32.90  (step @p239 :rule nary_cong :premises (@p238 @p203 @p237) :args (@t254))
% 32.62/32.90  (step @p240 :rule trans :premises (@p239 @p216))
% 32.62/32.90  (step @p241 :rule quant-miniscope-or :args ((= (forall @t14 @t255) @t254)))
% 32.62/32.90  (step @p242 :rule aci_norm :args ((= @t256 @t255)))
% 32.62/32.90  (step @p243 :rule cong :premises (@p242) :args ((forall @t14 @t256)))
% 32.62/32.90  (step @p244 :rule trans :premises (@p243 @p241))
% 32.62/32.90  (step @p245 :rule trans :premises (@p244 @p240))
% 32.62/32.90  (step @p246 :rule aci_norm :args ((= (or @t250 (or @t134 @t133 @t249 @t248 @t216)) @t256)))
% 32.62/32.90  (step @p247 :rule refl :args (@t216))
% 32.62/32.90  (step @p248 :rule aci_norm :args ((= (and (and @t109 @t247 @t246 @t245 @t244 @t243) @t108) @t248)))
% 32.62/32.90  (step @p249 :rule refl :args (@t108))
% 32.62/32.90  (step @p250 :rule refl :args (@t243))
% 32.62/32.90  (step @p251 :rule bool-double-not-elim :args (@t244))
% 32.62/32.90  (step @p252 :rule bool-double-not-elim :args (@t245))
% 32.62/32.90  (step @p253 :rule bool-double-not-elim :args (@t246))
% 32.62/32.90  (step @p254 :rule bool-double-not-elim :args (@t247))
% 32.62/32.90  (step @p255 :rule bool-double-not-elim :args (@t109))
% 32.62/32.90  (step @p256 :rule nary_cong :premises (@p255 @p254 @p253 @p252 @p251 @p250) :args (@t267))
% 32.62/32.90  (step @p257 :rule aci_norm :args ((= (and @t266 (and @t264 (and @t262 (and @t260 (and @t258 @t243))))) @t267)))
% 32.62/32.90  (step @p258 :rule trans :premises (@p257 @p256))
% 32.62/32.90  (step @p259 :rule bool-or-de-morgan :args (@t257 @t242 false))
% 32.62/32.90  (step @p260 :rule refl :args (@t260))
% 32.62/32.90  (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((and @t260 (not @t268))))
% 32.62/32.90  (step @p262 :rule bool-or-de-morgan :args (@t259 @t257 (or @t242)))
% 32.62/32.90  (step @p263 :rule trans :premises (@p262 @p261))
% 32.62/32.90  (step @p264 :rule refl :args (@t262))
% 32.62/32.90  (step @p265 :rule nary_cong :premises (@p264 @p263) :args ((and @t262 (not (or @t259 @t257 @t242)))))
% 32.62/32.90  (step @p266 :rule bool-or-de-morgan :args (@t261 @t259 (or @t257 @t242)))
% 32.62/32.90  (step @p267 :rule trans :premises (@p266 @p265))
% 32.62/32.90  (step @p268 :rule refl :args (@t264))
% 32.62/32.90  (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((and @t264 (not (or @t261 @t259 @t257 @t242)))))
% 32.62/32.90  (step @p270 :rule bool-or-de-morgan :args (@t263 @t261 (or @t259 @t257 @t242)))
% 32.62/32.90  (step @p271 :rule trans :premises (@p270 @p269))
% 32.62/32.90  (step @p272 :rule refl :args (@t266))
% 32.62/32.90  (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((and @t266 (not (or @t263 @t261 @t259 @t257 @t242)))))
% 32.62/32.90  (step @p274 :rule bool-or-de-morgan :args (@t265 @t263 (or @t261 @t259 @t257 @t242)))
% 32.62/32.90  (step @p275 :rule trans :premises (@p274 @p273))
% 32.62/32.90  (step @p276 :rule trans :premises (@p275 @p258))
% 32.62/32.90  (step @p277 :rule nary_cong :premises (@p276 @p249) :args (@t270))
% 32.62/32.90  (step @p278 :rule trans :premises (@p277 @p248))
% 32.62/32.90  (step @p279 :rule nary_cong :premises (@p228 @p192 @p227 @p278 @p247) :args (@t271))
% 32.62/32.90  (step @p280 :rule nary_cong :premises (@p229 @p279) :args ((or @t250 @t271)))
% 32.62/32.90  (step @p281 :rule trans :premises (@p280 @p246))
% 32.62/32.90  (step @p282 :rule bool-impl-elim :args (@t13 @t271))
% 32.62/32.90  (step @p283 :rule trans :premises (@p282 @p281))
% 32.62/32.90  (step @p284 :rule cong :premises (@p283) :args ((forall @t14 (=> @t13 @t271))))
% 32.62/32.90  (step @p285 :rule trans :premises (@p284 @p245))
% 32.62/32.90  (step @p286 :rule aci_norm :args ((= @t273 @t215)))
% 32.62/32.90  (step @p287 :rule cong :premises (@p286) :args (@t274))
% 32.62/32.90  (step @p288 :rule quant-merge-prenex :args ((= (forall @t101 @t276) @t274)))
% 32.62/32.90  (step @p289 :rule alpha_equiv :args (@t277 (@list @t160) (@list @t92)))
% 32.62/32.90  (step @p290 :rule refl :args (@t165))
% 32.62/32.90  (step @p291 :rule nary_cong :premises (@p290 @p289) :args (@t278))
% 32.62/32.90  (step @p292 :rule quant-miniscope-or :args ((= @t276 @t278)))
% 32.62/32.90  (step @p293 :rule trans :premises (@p292 @p291))
% 32.62/32.90  (step @p294 :rule symm :premises (@p293))
% 32.62/32.90  (step @p295 :rule cong :premises (@p294) :args ((forall @t101 (or @t165 @t285))))
% 32.62/32.90  (step @p296 :rule trans :premises (@p295 @p288))
% 32.62/32.90  (step @p297 :rule trans :premises (@p296 @p287))
% 32.62/32.90  (step @p298 :rule bool-double-not-elim :args (@t285))
% 32.62/32.90  (step @p299 :rule nary_cong :premises (@p290 @p298) :args ((or @t165 (not @t286))))
% 32.62/32.90  (step @p300 :rule bool-and-de-morgan :args (@t99 @t286 true))
% 32.62/32.90  (step @p301 :rule trans :premises (@p300 @p299))
% 32.62/32.90  (step @p302 :rule cong :premises (@p301) :args (@t288))
% 32.62/32.90  (step @p303 :rule trans :premises (@p302 @p297))
% 32.62/32.90  (step @p304 :rule cong :premises (@p303) :args (@t289))
% 32.62/32.90  (step @p305 :rule exists-elim :args ((= (exists @t101 @t287) @t289)))
% 32.62/32.90  (step @p306 :rule trans :premises (@p305 @p304))
% 32.62/32.90  (step @p307 :rule aci_norm :args ((= (or @t283 (or @t282 @t280)) @t284)))
% 32.62/32.90  (step @p308 :rule bool-and-de-morgan :args (@t281 @t279 true))
% 32.62/32.90  (step @p309 :rule refl :args (@t283))
% 32.62/32.90  (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or @t283 (not (and @t281 @t279)))))
% 32.62/32.90  (step @p311 :rule bool-and-de-morgan :args (@t95 @t281 (and @t279)))
% 32.62/32.90  (step @p312 :rule trans :premises (@p311 @p310))
% 32.62/32.90  (step @p313 :rule trans :premises (@p312 @p307))
% 32.62/32.90  (step @p314 :rule cong :premises (@p313) :args (@t291))
% 32.62/32.90  (step @p315 :rule cong :premises (@p314) :args (@t292))
% 32.62/32.90  (step @p316 :rule exists-elim :args ((= (exists @t97 @t290) @t292)))
% 32.62/32.90  (step @p317 :rule trans :premises (@p316 @p315))
% 32.62/32.90  (step @p318 :rule eq-symm :args (@t93 @t2))
% 32.62/32.90  (step @p319 :rule eq-symm :args (@t94 @t1))
% 32.62/32.90  (step @p320 :rule refl :args (@t95))
% 32.62/32.90  (step @p321 :rule nary_cong :premises (@p320 @p319 @p318) :args (@t96))
% 32.62/32.90  (step @p322 :rule cong :premises (@p321) :args (@t98))
% 32.62/32.90  (step @p323 :rule trans :premises (@p322 @p317))
% 32.62/32.90  (step @p324 :rule refl :args (@t99))
% 32.62/32.90  (step @p325 :rule nary_cong :premises (@p324 @p323) :args (@t100))
% 32.62/32.90  (step @p326 :rule cong :premises (@p325) :args (@t102))
% 32.62/32.90  (step @p327 :rule trans :premises (@p326 @p306))
% 32.62/32.90  (step @p328 :rule refl :args (@t104))
% 32.62/32.90  (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t105))
% 32.62/32.90  (step @p330 :rule eq-symm :args (tptp.nil @t1))
% 32.62/32.90  (step @p331 :rule cong :premises (@p330) :args (@t78))
% 32.62/32.90  (step @p332 :rule nary_cong :premises (@p331 @p111) :args (@t106))
% 32.62/32.90  (step @p333 :rule nary_cong :premises (@p332 @p329) :args (@t107))
% 32.62/32.90  (step @p334 :rule refl :args (@t108))
% 32.62/32.90  (step @p335 :rule aci_norm :args ((= (or @t265 @t263 @t261 @t259 @t268) @t269)))
% 32.62/32.90  (step @p336 :rule aci_norm :args ((= (or @t257 @t242 false) @t268)))
% 32.62/32.90  (step @p337 :rule eq-refl :args (@t241))
% 32.62/32.90  (step @p338 :rule cong :premises (@p337) :args (@t293))
% 32.62/32.90  (step @p339 :rule trans :premises (@p338 @p183))
% 32.62/32.90  (step @p340 :rule refl :args (@t242))
% 32.62/32.90  (step @p341 :rule refl :args (@t257))
% 32.62/32.90  (step @p342 :rule nary_cong :premises (@p341 @p340 @p339) :args (@t294))
% 32.62/32.90  (step @p343 :rule trans :premises (@p342 @p336))
% 32.62/32.90  (step @p344 :rule quant-var-elim-eq :args ((= (forall @t33 @t297) @t294)))
% 32.62/32.90  (step @p345 :rule aci_norm :args ((= @t298 @t297)))
% 32.62/32.90  (step @p346 :rule cong :premises (@p345) :args (@t299))
% 32.62/32.90  (step @p347 :rule trans :premises (@p346 @p344))
% 32.62/32.90  (step @p348 :rule trans :premises (@p347 @p343))
% 32.62/32.90  (step @p349 :rule refl :args (@t259))
% 32.62/32.90  (step @p350 :rule refl :args (@t261))
% 32.62/32.90  (step @p351 :rule refl :args (@t263))
% 32.62/32.90  (step @p352 :rule refl :args (@t265))
% 32.62/32.90  (step @p353 :rule nary_cong :premises (@p352 @p351 @p350 @p349 @p348) :args (@t300))
% 32.62/32.90  (step @p354 :rule trans :premises (@p353 @p335))
% 32.62/32.90  (step @p355 :rule quant-miniscope-or :args ((= (forall @t33 @t301) @t300)))
% 32.62/32.90  (step @p356 :rule aci_norm :args ((= @t302 @t301)))
% 32.62/32.90  (step @p357 :rule cong :premises (@p356) :args ((forall @t33 @t302)))
% 32.62/32.90  (step @p358 :rule trans :premises (@p357 @p355))
% 32.62/32.90  (step @p359 :rule trans :premises (@p358 @p354))
% 32.62/32.90  (step @p360 :rule aci_norm :args ((= (or @t296 @t126 @t303) @t302)))
% 32.62/32.90  (step @p361 :rule bool-double-not-elim :args (@t303))
% 32.62/32.90  (step @p362 :rule bool-double-not-elim :args (@t126))
% 32.62/32.90  (step @p363 :rule refl :args (@t296))
% 32.62/32.90  (step @p364 :rule nary_cong :premises (@p363 @p362 @p361) :args (@t307))
% 32.62/32.90  (step @p365 :rule aci_norm :args ((= (or @t296 (or @t306 @t305)) @t307)))
% 32.62/32.90  (step @p366 :rule trans :premises (@p365 @p364))
% 32.62/32.90  (step @p367 :rule bool-and-de-morgan :args (@t127 @t304 true))
% 32.62/32.90  (step @p368 :rule nary_cong :premises (@p363 @p367) :args ((or @t296 (not (and @t127 @t304)))))
% 32.62/32.90  (step @p369 :rule bool-and-de-morgan :args (@t32 @t127 (and @t304)))
% 28.31/32.90  (step @p370 :rule trans :premises (@p369 @p368))
% 28.31/32.90  (step @p371 :rule trans :premises (@p370 @p366))
% 28.31/32.90  (step @p372 :rule trans :premises (@p371 @p360))
% 28.31/32.90  (step @p373 :rule cong :premises (@p372) :args (@t309))
% 28.31/32.90  (step @p374 :rule trans :premises (@p373 @p359))
% 28.31/32.90  (step @p375 :rule cong :premises (@p374) :args (@t310))
% 28.31/32.90  (step @p376 :rule exists-elim :args ((= (exists @t33 @t308) @t310)))
% 28.31/32.90  (step @p377 :rule trans :premises (@p376 @p375))
% 28.31/32.90  (step @p378 :rule aci_norm :args ((= (or @t265 @t263 @t261 @t311) @t303)))
% 28.31/32.90  (step @p379 :rule aci_norm :args ((= (or @t259 false @t295) @t311)))
% 28.31/32.90  (step @p380 :rule refl :args (@t295))
% 28.31/32.90  (step @p381 :rule eq-refl :args (@t119))
% 28.31/32.90  (step @p382 :rule cong :premises (@p381) :args (@t312))
% 28.31/32.90  (step @p383 :rule trans :premises (@p382 @p183))
% 28.31/32.90  (step @p384 :rule nary_cong :premises (@p349 @p383 @p380) :args (@t313))
% 28.31/32.90  (step @p385 :rule trans :premises (@p384 @p379))
% 28.31/32.90  (step @p386 :rule quant-var-elim-eq :args ((= (forall @t31 @t318) @t313)))
% 28.31/32.90  (step @p387 :rule aci_norm :args ((= @t319 @t318)))
% 28.31/32.90  (step @p388 :rule cong :premises (@p387) :args (@t320))
% 28.31/32.90  (step @p389 :rule trans :premises (@p388 @p386))
% 28.31/32.90  (step @p390 :rule trans :premises (@p389 @p385))
% 28.31/32.90  (step @p391 :rule nary_cong :premises (@p352 @p351 @p350 @p390) :args (@t321))
% 28.31/32.90  (step @p392 :rule trans :premises (@p391 @p378))
% 28.31/32.90  (step @p393 :rule quant-miniscope-or :args ((= (forall @t31 @t322) @t321)))
% 28.31/32.90  (step @p394 :rule aci_norm :args ((= @t323 @t322)))
% 28.31/32.90  (step @p395 :rule cong :premises (@p394) :args ((forall @t31 @t323)))
% 28.31/32.90  (step @p396 :rule trans :premises (@p395 @p393))
% 28.31/32.90  (step @p397 :rule trans :premises (@p396 @p392))
% 28.31/32.90  (step @p398 :rule aci_norm :args ((= (or @t317 @t324) @t323)))
% 28.31/32.90  (step @p399 :rule bool-double-not-elim :args (@t324))
% 28.31/32.90  (step @p400 :rule refl :args (@t317))
% 28.31/32.90  (step @p401 :rule nary_cong :premises (@p400 @p399) :args ((or @t317 (not @t325))))
% 28.31/32.90  (step @p402 :rule bool-and-de-morgan :args (@t30 @t325 true))
% 28.31/32.90  (step @p403 :rule trans :premises (@p402 @p401))
% 28.31/32.90  (step @p404 :rule trans :premises (@p403 @p398))
% 28.31/32.90  (step @p405 :rule cong :premises (@p404) :args (@t327))
% 28.31/32.90  (step @p406 :rule trans :premises (@p405 @p397))
% 28.31/32.90  (step @p407 :rule cong :premises (@p406) :args (@t328))
% 28.31/32.90  (step @p408 :rule exists-elim :args ((= (exists @t31 @t326) @t328)))
% 28.31/32.90  (step @p409 :rule trans :premises (@p408 @p407))
% 28.31/32.90  (step @p410 :rule aci_norm :args ((= (or @t316 @t265 @t263 @t329) @t324)))
% 28.31/32.90  (step @p411 :rule aci_norm :args ((= (or @t261 @t314 false) @t329)))
% 28.31/32.90  (step @p412 :rule eq-refl :args (@t240))
% 28.31/32.90  (step @p413 :rule cong :premises (@p412) :args (@t330))
% 28.31/32.90  (step @p414 :rule trans :premises (@p413 @p183))
% 28.31/32.90  (step @p415 :rule refl :args (@t314))
% 28.31/32.90  (step @p416 :rule nary_cong :premises (@p350 @p415 @p414) :args (@t331))
% 28.31/32.90  (step @p417 :rule trans :premises (@p416 @p411))
% 28.31/32.90  (step @p418 :rule quant-var-elim-eq :args ((= (forall @t122 @t336) @t331)))
% 28.31/32.90  (step @p419 :rule aci_norm :args ((= @t337 @t336)))
% 28.31/32.90  (step @p420 :rule cong :premises (@p419) :args (@t338))
% 28.31/32.90  (step @p421 :rule trans :premises (@p420 @p418))
% 28.31/32.90  (step @p422 :rule trans :premises (@p421 @p417))
% 28.31/32.90  (step @p423 :rule refl :args (@t316))
% 28.31/32.90  (step @p424 :rule nary_cong :premises (@p423 @p352 @p351 @p422) :args (@t339))
% 28.31/32.90  (step @p425 :rule trans :premises (@p424 @p410))
% 28.31/32.90  (step @p426 :rule quant-miniscope-or :args ((= (forall @t122 @t340) @t339)))
% 28.31/32.90  (step @p427 :rule aci_norm :args ((= @t341 @t340)))
% 28.31/32.90  (step @p428 :rule cong :premises (@p427) :args ((forall @t122 @t341)))
% 28.31/32.90  (step @p429 :rule trans :premises (@p428 @p426))
% 28.31/32.90  (step @p430 :rule trans :premises (@p429 @p425))
% 28.31/32.90  (step @p431 :rule aci_norm :args ((= (or @t335 @t316 @t334 @t342 @t265) @t341)))
% 28.31/32.90  (step @p432 :rule refl :args (@t265))
% 28.31/32.90  (step @p433 :rule bool-double-not-elim :args (@t342))
% 28.31/32.90  (step @p434 :rule refl :args (@t334))
% 28.31/32.90  (step @p435 :rule refl :args (@t316))
% 28.31/32.90  (step @p436 :rule refl :args (@t335))
% 28.31/32.90  (step @p437 :rule nary_cong :premises (@p436 @p435 @p434 @p433 @p432) :args (@t345))
% 28.31/32.90  (step @p438 :rule aci_norm :args ((= (or @t335 (or @t316 (or @t334 (or @t344 @t265)))) @t345)))
% 28.31/32.90  (step @p439 :rule trans :premises (@p438 @p437))
% 28.31/32.90  (step @p440 :rule bool-and-de-morgan :args (@t343 @t109 true))
% 28.31/32.90  (step @p441 :rule nary_cong :premises (@p434 @p440) :args ((or @t334 (not (and @t343 @t109)))))
% 28.31/32.90  (step @p442 :rule bool-and-de-morgan :args (@t333 @t343 (and @t109)))
% 28.31/32.90  (step @p443 :rule trans :premises (@p442 @p441))
% 28.31/32.90  (step @p444 :rule nary_cong :premises (@p435 @p443) :args ((or @t316 (not (and @t333 @t343 @t109)))))
% 28.31/32.90  (step @p445 :rule bool-and-de-morgan :args (@t315 @t333 (and @t343 @t109)))
% 28.31/32.90  (step @p446 :rule trans :premises (@p445 @p444))
% 28.31/32.90  (step @p447 :rule nary_cong :premises (@p436 @p446) :args ((or @t335 (not (and @t315 @t333 @t343 @t109)))))
% 28.31/32.90  (step @p448 :rule bool-and-de-morgan :args (@t120 @t315 (and @t333 @t343 @t109)))
% 28.31/32.90  (step @p449 :rule trans :premises (@p448 @p447))
% 28.31/32.90  (step @p450 :rule trans :premises (@p449 @p439))
% 28.31/32.90  (step @p451 :rule trans :premises (@p450 @p431))
% 28.31/32.90  (step @p452 :rule cong :premises (@p451) :args (@t347))
% 28.31/32.90  (step @p453 :rule trans :premises (@p452 @p430))
% 28.31/32.90  (step @p454 :rule cong :premises (@p453) :args (@t348))
% 28.31/32.90  (step @p455 :rule exists-elim :args ((= (exists @t122 @t346) @t348)))
% 28.31/32.90  (step @p456 :rule trans :premises (@p455 @p454))
% 28.31/32.90  (step @p457 :rule refl :args (@t109))
% 28.31/32.90  (step @p458 :rule aci_norm :args ((= (or @t265 @t349) @t342)))
% 28.31/32.90  (step @p459 :rule aci_norm :args ((= (or @t263 @t332 false) @t349)))
% 28.31/32.90  (step @p460 :rule eq-refl :args (@t111))
% 28.31/32.90  (step @p461 :rule cong :premises (@p460) :args (@t350))
% 28.31/32.90  (step @p462 :rule trans :premises (@p461 @p183))
% 28.31/32.90  (step @p463 :rule refl :args (@t332))
% 28.31/32.90  (step @p464 :rule nary_cong :premises (@p351 @p463 @p462) :args (@t351))
% 28.31/32.90  (step @p465 :rule trans :premises (@p464 @p459))
% 28.31/32.90  (step @p466 :rule quant-var-elim-eq :args ((= (forall @t116 @t357) @t351)))
% 28.31/32.90  (step @p467 :rule aci_norm :args ((= @t358 @t357)))
% 28.31/32.90  (step @p468 :rule cong :premises (@p467) :args (@t359))
% 28.31/32.90  (step @p469 :rule trans :premises (@p468 @p466))
% 28.31/32.90  (step @p470 :rule trans :premises (@p469 @p465))
% 28.31/32.90  (step @p471 :rule nary_cong :premises (@p352 @p470) :args (@t360))
% 28.31/32.90  (step @p472 :rule trans :premises (@p471 @p458))
% 28.31/32.90  (step @p473 :rule quant-miniscope-or :args ((= (forall @t116 @t361) @t360)))
% 28.31/32.90  (step @p474 :rule aci_norm :args ((= @t362 @t361)))
% 28.31/32.90  (step @p475 :rule cong :premises (@p474) :args ((forall @t116 @t362)))
% 28.31/32.90  (step @p476 :rule trans :premises (@p475 @p473))
% 28.31/32.90  (step @p477 :rule trans :premises (@p476 @p472))
% 28.31/32.90  (step @p478 :rule aci_norm :args ((= (or @t356 (or @t355 (or @t353 @t265))) @t362)))
% 28.31/32.90  (step @p479 :rule bool-and-de-morgan :args (@t352 @t109 true))
% 28.31/32.90  (step @p480 :rule refl :args (@t355))
% 28.31/32.90  (step @p481 :rule nary_cong :premises (@p480 @p479) :args ((or @t355 (not (and @t352 @t109)))))
% 28.31/32.90  (step @p482 :rule bool-and-de-morgan :args (@t354 @t352 (and @t109)))
% 28.31/32.90  (step @p483 :rule trans :premises (@p482 @p481))
% 28.31/32.90  (step @p484 :rule refl :args (@t356))
% 28.31/32.90  (step @p485 :rule nary_cong :premises (@p484 @p483) :args ((or @t356 (not (and @t354 @t352 @t109)))))
% 28.31/32.90  (step @p486 :rule bool-and-de-morgan :args (@t114 @t354 (and @t352 @t109)))
% 28.31/32.90  (step @p487 :rule trans :premises (@p486 @p485))
% 28.31/32.90  (step @p488 :rule trans :premises (@p487 @p478))
% 28.31/32.90  (step @p489 :rule cong :premises (@p488) :args (@t364))
% 28.31/32.90  (step @p490 :rule trans :premises (@p489 @p477))
% 28.31/32.90  (step @p491 :rule cong :premises (@p490) :args (@t365))
% 28.31/32.90  (step @p492 :rule exists-elim :args ((= (exists @t116 @t363) @t365)))
% 28.31/32.90  (step @p493 :rule trans :premises (@p492 @p491))
% 28.31/32.90  (step @p494 :rule eq-symm :args (@t111 @t110))
% 28.31/32.90  (step @p495 :rule eq-symm :args (@t113 @t112))
% 28.31/32.90  (step @p496 :rule refl :args (@t114))
% 28.31/32.90  (step @p497 :rule nary_cong :premises (@p496 @p495 @p494 @p457) :args (@t115))
% 28.31/32.90  (step @p498 :rule cong :premises (@p497) :args (@t117))
% 28.31/32.90  (step @p499 :rule trans :premises (@p498 @p493))
% 28.31/32.90  (step @p500 :rule eq-symm :args (@t118 @t28))
% 28.31/32.90  (step @p501 :rule eq-symm :args (@t119 @t27))
% 28.31/32.90  (step @p502 :rule refl :args (@t120))
% 28.31/32.90  (step @p503 :rule nary_cong :premises (@p502 @p501 @p500 @p499 @p457) :args (@t121))
% 28.31/32.90  (step @p504 :rule cong :premises (@p503) :args (@t123))
% 28.31/32.90  (step @p505 :rule trans :premises (@p504 @p456))
% 28.31/32.90  (step @p506 :rule refl :args (@t30))
% 28.31/32.90  (step @p507 :rule nary_cong :premises (@p506 @p505) :args (@t124))
% 28.31/32.90  (step @p508 :rule cong :premises (@p507) :args (@t125))
% 28.31/32.90  (step @p509 :rule trans :premises (@p508 @p409))
% 28.31/32.90  (step @p510 :rule refl :args (@t127))
% 28.31/32.90  (step @p511 :rule refl :args (@t32))
% 28.31/32.90  (step @p512 :rule nary_cong :premises (@p511 @p510 @p509) :args (@t128))
% 28.31/32.90  (step @p513 :rule cong :premises (@p512) :args (@t129))
% 28.31/32.90  (step @p514 :rule trans :premises (@p513 @p377))
% 28.31/32.90  (step @p515 :rule nary_cong :premises (@p514 @p334) :args (@t130))
% 28.31/32.90  (step @p516 :rule eq-symm :args (tptp.nil @t10))
% 28.31/32.90  (step @p517 :rule eq-symm :args (tptp.nil @t12))
% 28.31/32.90  (step @p518 :rule cong :premises (@p517) :args (@t131))
% 28.31/32.90  (step @p519 :rule nary_cong :premises (@p518 @p516) :args (@t132))
% 28.31/32.90  (step @p520 :rule refl :args (@t134))
% 28.31/32.90  (step @p521 :rule nary_cong :premises (@p520 @p238 @p519 @p515 @p333) :args (@t135))
% 28.31/32.90  (step @p522 :rule refl :args (@t13))
% 28.31/32.90  (step @p523 :rule cong :premises (@p522 @p521) :args (@t136))
% 28.31/32.90  (step @p524 :rule cong :premises (@p523) :args (@t137))
% 28.31/32.90  (step @p525 :rule trans :premises (@p524 @p285))
% 28.31/32.90  (step @p526 :rule refl :args (@t15))
% 28.31/32.90  (step @p527 :rule cong :premises (@p526 @p525) :args (@t138))
% 28.31/32.90  (step @p528 :rule cong :premises (@p527) :args (@t139))
% 28.31/32.90  (step @p529 :rule trans :premises (@p528 @p215))
% 28.31/32.90  (step @p530 :rule refl :args (@t21))
% 28.31/32.90  (step @p531 :rule cong :premises (@p530 @p529) :args (@t140))
% 28.31/32.90  (step @p532 :rule cong :premises (@p531) :args (@t141))
% 28.31/32.90  (step @p533 :rule trans :premises (@p532 @p178))
% 28.31/32.90  (step @p534 :rule cong :premises (@p114 @p533) :args (@t142))
% 28.31/32.90  (step @p535 :rule cong :premises (@p534) :args (@t143))
% 28.31/32.90  (step @p536 :rule trans :premises (@p535 @p169))
% 28.31/32.90  (step @p537 :rule cong :premises (@p536) :args (@t144))
% 28.31/32.90  (step @p538 :rule eq_resolve :premises (@p96 @p537))
% 28.31/32.90  (step @p539 :rule refl :args (@t391))
% 28.31/32.90  (step @p540 :rule bool-double-not-elim :args (@t170))
% 28.31/32.90  (step @p541 :rule nary_cong :premises (@p540 @p539) :args ((or (not @t392) @t391)))
% 28.31/32.90  (step @p542 :rule refl :args (@t377))
% 28.31/32.90  (step @p543 :rule refl :args (@t182))
% 28.31/32.90  (step @p544 :rule eq-symm :args (@t369 tptp.nil))
% 28.31/32.90  (step @p545 :rule cong :premises (@p544) :args (@t394))
% 28.31/32.90  (step @p546 :rule nary_cong :premises (@p545 @p543) :args (@t395))
% 28.31/32.90  (step @p547 :rule eq-symm :args (@t369 @t161))
% 28.31/32.90  (step @p548 :rule cong :premises (@p547) :args (@t396))
% 28.31/32.90  (step @p549 :rule refl :args (@t381))
% 28.31/32.90  (step @p550 :rule nary_cong :premises (@p140 @p139 @p549 @p548) :args (@t397))
% 28.31/32.90  (step @p551 :rule cong :premises (@p550) :args (@t398))
% 28.31/32.90  (step @p552 :rule cong :premises (@p551) :args (@t399))
% 28.31/32.90  (step @p553 :rule refl :args (@t384))
% 28.31/32.90  (step @p554 :rule nary_cong :premises (@p553 @p552) :args (@t400))
% 28.31/32.90  (step @p555 :rule refl :args (@t386))
% 28.31/32.90  (step @p556 :rule nary_cong :premises (@p555 @p544) :args (@t401))
% 28.31/32.90  (step @p557 :rule nary_cong :premises (@p556 @p554) :args (@t402))
% 28.31/32.90  (step @p558 :rule refl :args (@t389))
% 28.31/32.90  (step @p559 :rule nary_cong :premises (@p558 @p121 @p557 @p546 @p542) :args (@t403))
% 28.31/32.90  (step @p560 :rule cong :premises (@p559) :args (@t404))
% 28.31/32.90  (step @p561 :rule refl :args (@t392))
% 28.31/32.90  (step @p562 :rule cong :premises (@p561 @p560) :args ((=> @t392 @t404)))
% 28.31/32.90  (assume-push @p897 @t392)
% 28.31/32.90  (step @p564 :rule skolemize :premises (@p538))
% 28.31/32.90  (step-pop @p898 :rule scope :premises (@p564))
% 28.31/32.90  (step @p565 :rule process_scope :premises (@p898) :args (@t404))
% 28.31/32.90  (step @p567 :rule eq_resolve :premises (@p565 @p562))
% 28.31/32.90  (step @p568 :rule implies_elim :premises (@p567))
% 28.31/32.90  (step @p569 :rule eq_resolve :premises (@p568 @p541))
% 28.31/32.90  (step @p570 :rule chain_m_resolution :premises (@p569 @p538) :args (@t391 @t405 (@list @t170)))
% 28.31/32.90  (step @p571 :rule cnf_or_neg :args (@t390 3))
% 28.31/32.90  (step @p572 :rule chain_m_resolution :premises (@p571 @p570) :args ((not @t380) @t405 @t406))
% 28.31/32.90  (step @p573 :rule bool-double-not-elim :args (@t378))
% 28.31/32.90  (step @p574 :rule refl :args (@t380))
% 28.31/32.90  (step @p575 :rule nary_cong :premises (@p574 @p573 @p555) :args ((or @t380 (not @t379) @t386)))
% 28.31/32.90  (step @p576 :rule cnf_and_neg :args (@t380))
% 28.31/32.90  (step @p577 :rule eq_resolve :premises (@p576 @p575))
% 28.31/32.90  (step @p578 :rule reordering :premises (@p577) :args ((or @t386 @t378 @t380)))
% 28.31/32.90  (step @p579 :rule cnf_or_neg :args (@t387 1))
% 28.31/32.90  (step @p580 :rule cnf_or_neg :args (@t390 2))
% 28.31/32.90  (step @p581 :rule chain_m_resolution :premises (@p580 @p570) :args ((not @t388) @t405 @t406))
% 28.31/32.90  (step @p582 :rule cnf_and_neg :args (@t388))
% 28.31/32.90  (step @p583 :rule bool-double-not-elim :args (@t366))
% 28.31/32.90  (step @p584 :rule refl :args (@t385))
% 28.31/32.90  (step @p585 :rule nary_cong :premises (@p584 @p583) :args ((or @t385 (not @t384))))
% 28.31/32.90  (step @p586 :rule cnf_or_neg :args (@t385 0))
% 28.31/32.90  (step @p587 :rule eq_resolve :premises (@p586 @p585))
% 28.31/32.90  (step @p588 :rule reordering :premises (@p587) :args ((or @t366 @t385)))
% 28.31/32.90  (step @p589 :rule aci_norm :args ((= @t412 @t410)))
% 28.31/32.90  (step @p590 :rule cong :premises (@p589) :args (@t414))
% 28.31/32.90  (step @p591 :rule quant-merge-prenex :args ((= (forall @t9 @t416) @t414)))
% 28.31/32.90  (step @p592 :rule alpha_equiv :args (@t417 (@list @t407) @t202))
% 28.31/32.90  (step @p593 :rule nary_cong :premises (@p104 @p592) :args (@t418))
% 28.31/32.90  (step @p594 :rule quant-miniscope-or :args ((= @t416 @t418)))
% 28.31/32.90  (step @p595 :rule trans :premises (@p594 @p593))
% 28.31/32.90  (step @p596 :rule symm :premises (@p595))
% 28.31/32.90  (step @p597 :rule cong :premises (@p596) :args ((forall @t9 (or @t147 @t419))))
% 28.31/32.90  (step @p598 :rule trans :premises (@p597 @p591))
% 28.31/32.90  (step @p599 :rule trans :premises (@p598 @p590))
% 28.31/32.90  (step @p600 :rule bool-impl-elim :args (@t17 @t419))
% 28.31/32.90  (step @p601 :rule cong :premises (@p600) :args ((forall @t9 (=> @t17 @t419))))
% 28.31/32.90  (step @p602 :rule trans :premises (@p601 @p599))
% 28.31/32.90  (step @p603 :rule bool-impl-elim :args (@t21 @t5))
% 28.31/32.90  (step @p604 :rule cong :premises (@p603) :args (@t37))
% 28.31/32.90  (step @p605 :rule cong :premises (@p114 @p604) :args (@t38))
% 28.31/32.90  (step @p606 :rule cong :premises (@p605) :args (@t39))
% 28.31/32.90  (step @p607 :rule trans :premises (@p606 @p602))
% 28.31/32.90  (step @p608 :rule eq_resolve :premises (@p15 @p607))
% 28.31/32.90  (step @p609 :rule bool-eq-false :args (@t420))
% 28.31/32.90  (step @p610 :rule eq-refl :args (tptp.nil))
% 28.31/32.90  (step @p611 :rule cong :premises (@p610) :args (@t421))
% 28.31/32.90  (step @p612 :rule trans :premises (@p611 @p183))
% 28.31/32.90  (step @p613 :rule refl :args (@t420))
% 28.31/32.90  (step @p614 :rule cong :premises (@p613 @p612) :args (@t422))
% 28.31/32.90  (step @p615 :rule trans :premises (@p614 @p609))
% 28.31/32.90  (step @p616 :rule refl :args (@t423))
% 28.31/32.90  (step @p617 :rule nary_cong :premises (@p616 @p616 @p615) :args (@t424))
% 28.31/32.90  (step @p618 :rule refl :args (@t425))
% 28.31/32.90  (step @p619 :rule cong :premises (@p618 @p617) :args ((=> @t425 @t424)))
% 28.31/32.90  (assume-push @p899 @t425)
% 28.31/32.90  (step @p621 :rule instantiate :premises (@p608) :args ((@list tptp.nil tptp.nil)))
% 28.31/32.90  (step-pop @p900 :rule scope :premises (@p621))
% 28.31/32.90  (step @p622 :rule process_scope :premises (@p900) :args (@t424))
% 28.31/32.90  (step @p624 :rule eq_resolve :premises (@p622 @p619))
% 28.31/32.90  (step @p625 :rule implies_elim :premises (@p624))
% 28.31/32.90  (step @p626 :rule chain_m_resolution :premises (@p625 @p608) :args (@t427 @t184 @t428))
% 28.31/32.90  (step @p627 :rule cnf_or_pos :args (@t427))
% 28.31/32.90  (step @p628 :rule factoring :premises (@p627))
% 28.31/32.90  (step @p629 :rule reordering :premises (@p628) :args ((or @t423 @t426 (not @t427))))
% 28.31/32.90  (step @p630 :rule chain_m_resolution :premises (@p629 @p17 @p626) :args (@t426 (@list false false) (@list @t45 @t427)))
% 28.31/32.90  (step @p631 :rule bool-double-not-elim :args (@t420))
% 28.31/32.90  (step @p632 :rule nary_cong :premises (@p555 @p631 @p553) :args ((or @t386 (not @t426) @t384)))
% 28.31/32.90  (assume-push @p901 @t182)
% 28.31/32.90  (assume-push @p902 @t426)
% 28.31/32.90  (assume-push @p903 @t426)
% 28.31/32.90  (assume-push @p904 @t182)
% 28.31/32.90  (step @p637 :rule false_intro :premises (@p630))
% 28.31/32.90  (step @p638 :rule refl :args (tptp.nil))
% 28.31/32.90  (step @p639 :rule symm :premises (@p901))
% 28.31/32.90  (step @p640 :rule cong :premises (@p639 @p638) :args (@t366))
% 28.31/32.90  (step @p641 :rule trans :premises (@p640 @p637))
% 28.31/32.90  (step @p642 :rule false_elim :premises (@p641))
% 28.31/32.90  (step-pop @p905 :rule scope :premises (@p642))
% 28.31/32.90  (step-pop @p906 :rule scope :premises (@p905))
% 28.31/32.90  (step @p643 :rule process_scope :premises (@p906) :args (@t384))
% 28.31/32.90  (step @p646 :rule and_intro :premises (@p630 @p901))
% 28.31/32.90  (step @p647 :rule modus_ponens :premises (@p646 @p643))
% 28.31/32.90  (step-pop @p907 :rule scope :premises (@p647))
% 28.31/32.90  (step-pop @p908 :rule scope :premises (@p907))
% 28.31/32.90  (step @p648 :rule process_scope :premises (@p908) :args (@t384))
% 28.31/32.90  (step @p651 :rule implies_elim :premises (@p648))
% 28.31/32.90  (step @p652 :rule cnf_and_neg :args (@t429))
% 28.31/32.90  (step @p653 :rule resolution :premises (@p652 @p651) :args (true @t429))
% 28.31/32.90  (step @p654 :rule eq_resolve :premises (@p653 @p632))
% 28.31/32.90  (step @p655 :rule reordering :premises (@p654) :args ((or @t386 @t384 @t420)))
% 28.31/32.90  (step @p656 :rule chain_m_resolution :premises (@p655 @p630 @p588 @p582 @p581 @p579 @p578 @p572) :args (@t386 (@list true false true true false false true) (@list @t420 @t366 @t385 @t388 @t387 @t378 @t380)))
% 28.31/32.90  (step @p657 :rule bool-double-not-elim :args (@t176))
% 28.31/32.90  (step @p658 :rule refl :args (@t390))
% 28.31/32.90  (step @p659 :rule nary_cong :premises (@p658 @p657) :args ((or @t390 (not @t177))))
% 28.31/32.90  (step @p660 :rule cnf_or_neg :args (@t390 1))
% 28.31/32.90  (step @p661 :rule eq_resolve :premises (@p660 @p659))
% 28.31/32.90  (step @p662 :rule reordering :premises (@p661) :args ((or @t176 @t390)))
% 28.31/32.90  (step @p663 :rule chain_m_resolution :premises (@p662 @p570) :args (@t176 @t405 @t406))
% 28.31/32.90  (step @p664 :rule cnf_or_pos :args (@t183))
% 28.31/32.90  (step @p665 :rule reordering :premises (@p664) :args ((or @t177 @t182 @t175 (not @t183))))
% 28.31/32.90  (step @p666 :rule chain_m_resolution :premises (@p665 @p663 @p656 @p131) :args (@t175 @t430 (@list @t176 @t182 @t183)))
% 28.31/32.90  (step @p667 :rule aci_norm :args ((= @t435 (or @t147 @t433 @t432))))
% 28.31/32.90  (step @p668 :rule cong :premises (@p667) :args (@t436))
% 28.31/32.90  (step @p669 :rule quant-merge-prenex :args ((= (forall @t9 @t438) @t436)))
% 28.31/32.90  (step @p670 :rule alpha_equiv :args (@t439 (@list @t431) @t202))
% 28.31/32.90  (step @p671 :rule nary_cong :premises (@p104 @p670) :args (@t440))
% 28.31/32.90  (step @p672 :rule quant-miniscope-or :args ((= @t438 @t440)))
% 28.31/32.90  (step @p673 :rule trans :premises (@p672 @p671))
% 28.31/32.90  (step @p674 :rule symm :premises (@p673))
% 28.31/32.90  (step @p675 :rule cong :premises (@p674) :args ((forall @t9 (or @t147 @t442))))
% 28.31/32.90  (step @p676 :rule trans :premises (@p675 @p669))
% 28.31/32.90  (step @p677 :rule trans :premises (@p676 @p668))
% 28.31/32.90  (step @p678 :rule bool-impl-elim :args (@t17 @t442))
% 28.31/32.90  (step @p679 :rule cong :premises (@p678) :args ((forall @t9 (=> @t17 @t442))))
% 28.31/32.90  (step @p680 :rule trans :premises (@p679 @p677))
% 28.31/32.90  (step @p681 :rule bool-impl-elim :args (@t6 @t86))
% 28.31/32.90  (step @p682 :rule cong :premises (@p681) :args (@t87))
% 28.31/32.90  (step @p683 :rule cong :premises (@p114 @p682) :args (@t88))
% 28.31/32.90  (step @p684 :rule cong :premises (@p683) :args (@t89))
% 28.31/32.90  (step @p685 :rule trans :premises (@p684 @p680))
% 28.31/32.90  (step @p686 :rule eq_resolve :premises (@p81 @p685))
% 28.31/32.90  (step @p687 :rule instantiate :premises (@p686) :args ((@list @t172 @t173)))
% 28.31/32.90  (step @p688 :rule aci_norm :args ((= (or @t147 (or @t146 @t56)) @t443)))
% 28.31/32.90  (step @p689 :rule refl :args (@t56))
% 28.31/32.90  (step @p690 :rule nary_cong :premises (@p100 @p689) :args ((or @t150 @t56)))
% 28.31/32.90  (step @p691 :rule bool-impl-elim :args (@t149 @t56))
% 28.31/32.90  (step @p692 :rule trans :premises (@p691 @p690))
% 28.31/32.90  (step @p693 :rule nary_cong :premises (@p104 @p692) :args ((or @t147 @t444)))
% 28.31/32.90  (step @p694 :rule trans :premises (@p693 @p688))
% 28.31/32.90  (step @p695 :rule bool-impl-elim :args (@t17 @t444))
% 28.31/32.90  (step @p696 :rule trans :premises (@p695 @p694))
% 28.31/32.90  (step @p697 :rule cong :premises (@p696) :args ((forall @t9 (=> @t17 @t444))))
% 28.31/32.90  (step @p698 :rule refl :args (@t56))
% 28.31/32.90  (step @p699 :rule cong :premises (@p112 @p698) :args (@t57))
% 28.31/32.90  (step @p700 :rule cong :premises (@p114 @p699) :args (@t58))
% 28.31/32.90  (step @p701 :rule cong :premises (@p700) :args (@t59))
% 28.31/32.90  (step @p702 :rule trans :premises (@p701 @p697))
% 28.31/32.90  (step @p703 :rule eq_resolve :premises (@p24 @p702))
% 28.31/32.90  (step @p704 :rule refl :args (@t373))
% 28.31/32.90  (step @p705 :rule nary_cong :premises (@p121 @p120 @p704) :args (@t445))
% 28.31/32.90  (step @p706 :rule refl :args (@t446))
% 28.31/32.90  (step @p707 :rule cong :premises (@p706 @p705) :args ((=> @t446 @t445)))
% 28.31/32.90  (assume-push @p909 @t446)
% 28.31/32.90  (step @p709 :rule instantiate :premises (@p703) :args (@t181))
% 28.31/32.90  (step-pop @p910 :rule scope :premises (@p709))
% 28.31/32.90  (step @p710 :rule process_scope :premises (@p910) :args (@t445))
% 28.31/32.90  (step @p712 :rule eq_resolve :premises (@p710 @p707))
% 28.31/32.90  (step @p713 :rule implies_elim :premises (@p712))
% 28.31/32.90  (step @p714 :rule chain_m_resolution :premises (@p713 @p703) :args (@t447 @t184 (@list @t446)))
% 28.31/32.90  (step @p715 :rule cnf_or_pos :args (@t447))
% 28.31/32.90  (step @p716 :rule reordering :premises (@p715) :args ((or @t177 @t182 @t373 (not @t447))))
% 28.31/32.90  (step @p717 :rule chain_m_resolution :premises (@p716 @p663 @p656 @p714) :args (@t373 @t430 (@list @t176 @t182 @t447)))
% 28.31/32.90  (step @p718 :rule aci_norm :args ((= (or @t147 (or @t146 @t50)) @t448)))
% 28.31/32.90  (step @p719 :rule refl :args (@t50))
% 28.31/32.90  (step @p720 :rule nary_cong :premises (@p100 @p719) :args ((or @t150 @t50)))
% 28.31/32.90  (step @p721 :rule bool-impl-elim :args (@t149 @t50))
% 28.31/32.90  (step @p722 :rule trans :premises (@p721 @p720))
% 28.31/32.90  (step @p723 :rule nary_cong :premises (@p104 @p722) :args ((or @t147 @t449)))
% 28.31/32.90  (step @p724 :rule trans :premises (@p723 @p718))
% 28.31/32.90  (step @p725 :rule bool-impl-elim :args (@t17 @t449))
% 28.31/32.90  (step @p726 :rule trans :premises (@p725 @p724))
% 28.31/32.90  (step @p727 :rule cong :premises (@p726) :args ((forall @t9 (=> @t17 @t449))))
% 28.31/32.90  (step @p728 :rule refl :args (@t50))
% 28.31/32.90  (step @p729 :rule cong :premises (@p112 @p728) :args (@t52))
% 28.31/32.90  (step @p730 :rule cong :premises (@p114 @p729) :args (@t53))
% 28.31/32.90  (step @p731 :rule cong :premises (@p730) :args (@t54))
% 28.31/32.90  (step @p732 :rule trans :premises (@p731 @p727))
% 28.31/32.90  (step @p733 :rule eq_resolve :premises (@p22 @p732))
% 28.31/32.90  (step @p734 :rule refl :args (@t375))
% 28.31/32.90  (step @p735 :rule nary_cong :premises (@p121 @p120 @p734) :args (@t450))
% 28.31/32.90  (step @p736 :rule refl :args (@t451))
% 28.31/32.90  (step @p737 :rule cong :premises (@p736 @p735) :args ((=> @t451 @t450)))
% 28.31/32.90  (assume-push @p911 @t451)
% 28.31/32.90  (step @p739 :rule instantiate :premises (@p733) :args (@t181))
% 28.31/32.90  (step-pop @p912 :rule scope :premises (@p739))
% 28.31/32.90  (step @p740 :rule process_scope :premises (@p912) :args (@t450))
% 28.31/32.90  (step @p742 :rule eq_resolve :premises (@p740 @p737))
% 28.31/32.90  (step @p743 :rule implies_elim :premises (@p742))
% 28.31/32.90  (step @p744 :rule chain_m_resolution :premises (@p743 @p733) :args (@t452 @t184 (@list @t451)))
% 28.31/32.90  (step @p745 :rule cnf_or_pos :args (@t452))
% 28.31/32.90  (step @p746 :rule reordering :premises (@p745) :args ((or @t177 @t182 @t375 (not @t452))))
% 28.31/32.90  (step @p747 :rule chain_m_resolution :premises (@p746 @p663 @p656 @p744) :args (@t375 @t430 (@list @t176 @t182 @t452)))
% 28.31/32.90  (step @p748 :rule cnf_or_pos :args (@t457))
% 28.31/32.90  (step @p749 :rule reordering :premises (@p748) :args ((or @t455 @t456 @t454 (not @t457))))
% 28.31/32.90  (step @p750 :rule chain_m_resolution :premises (@p749 @p747 @p717 @p687) :args (@t454 @t458 (@list @t375 @t373 @t457)))
% 28.31/32.90  (step @p751 :rule bool-double-not-elim :args (@t182))
% 28.31/32.90  (step @p752 :rule refl :args (@t387))
% 28.31/32.90  (step @p753 :rule nary_cong :premises (@p752 @p751) :args ((or @t387 @t459)))
% 28.31/32.90  (step @p754 :rule cnf_or_neg :args (@t387 0))
% 28.31/32.90  (step @p755 :rule eq_resolve :premises (@p754 @p753))
% 28.31/32.90  (step @p756 :rule reordering :premises (@p755) :args ((or @t182 @t387)))
% 28.31/32.90  (step @p757 :rule chain_m_resolution :premises (@p756 @p656) :args (@t387 @t405 (@list @t182)))
% 28.31/32.90  (step @p758 :rule chain_m_resolution :premises (@p582 @p581 @p757) :args ((not @t385) @t460 (@list @t388 @t387)))
% 28.31/32.90  (step @p759 :rule bool-double-not-elim :args (@t382))
% 28.31/32.90  (step @p760 :rule nary_cong :premises (@p584 @p759) :args ((or @t385 (not @t383))))
% 28.31/32.90  (step @p761 :rule cnf_or_neg :args (@t385 1))
% 28.31/32.90  (step @p762 :rule eq_resolve :premises (@p761 @p760))
% 28.31/32.90  (step @p763 :rule reordering :premises (@p762) :args ((or @t382 @t385)))
% 28.31/32.90  (step @p764 :rule chain_m_resolution :premises (@p763 @p758) :args (@t382 @t405 @t461))
% 28.31/32.90  (step @p765 :rule eq-symm :args (@t368 @t369))
% 28.31/32.90  (step @p766 :rule cong :premises (@p765) :args (@t462))
% 28.31/32.90  (step @p767 :rule eq-symm :args (@t453 @t171))
% 28.31/32.90  (step @p768 :rule cong :premises (@p767) :args (@t463))
% 28.31/32.90  (step @p769 :rule refl :args (@t456))
% 28.31/32.90  (step @p770 :rule refl :args (@t455))
% 28.31/32.90  (step @p771 :rule nary_cong :premises (@p770 @p769 @p768 @p766) :args (@t464))
% 28.31/32.90  (step @p772 :rule refl :args (@t382))
% 28.31/32.90  (step @p773 :rule cong :premises (@p772 @p771) :args ((=> @t382 @t464)))
% 28.31/32.90  (assume-push @p913 @t382)
% 28.31/32.90  (step @p775 :rule instantiate :premises (@p913) :args ((@list @t173 @t172)))
% 28.31/32.90  (step-pop @p914 :rule scope :premises (@p775))
% 28.31/32.90  (step @p776 :rule process_scope :premises (@p914) :args (@t464))
% 28.31/32.90  (step @p778 :rule eq_resolve :premises (@p776 @p773))
% 28.31/32.90  (step @p779 :rule implies_elim :premises (@p778))
% 28.31/32.90  (step @p780 :rule chain_m_resolution :premises (@p779 @p764) :args (@t467 @t184 (@list @t382)))
% 28.31/32.90  (step @p781 :rule aci_norm :args ((= @t472 (or @t147 @t470 @t469))))
% 28.31/32.90  (step @p782 :rule cong :premises (@p781) :args (@t473))
% 28.31/32.90  (step @p783 :rule quant-merge-prenex :args ((= (forall @t9 @t475) @t473)))
% 28.31/32.90  (step @p784 :rule alpha_equiv :args (@t476 (@list @t468) @t202))
% 28.31/32.90  (step @p785 :rule nary_cong :premises (@p104 @p784) :args (@t477))
% 28.31/32.90  (step @p786 :rule quant-miniscope-or :args ((= @t475 @t477)))
% 28.31/32.90  (step @p787 :rule trans :premises (@p786 @p785))
% 28.31/32.90  (step @p788 :rule symm :premises (@p787))
% 28.31/32.90  (step @p789 :rule cong :premises (@p788) :args ((forall @t9 (or @t147 @t478))))
% 28.31/32.90  (step @p790 :rule trans :premises (@p789 @p783))
% 28.31/32.90  (step @p791 :rule trans :premises (@p790 @p782))
% 28.31/32.90  (step @p792 :rule bool-impl-elim :args (@t17 @t478))
% 28.31/32.90  (step @p793 :rule cong :premises (@p792) :args ((forall @t9 (=> @t17 @t478))))
% 28.31/32.90  (step @p794 :rule trans :premises (@p793 @p791))
% 28.31/32.90  (step @p795 :rule bool-impl-elim :args (@t21 @t61))
% 28.31/32.90  (step @p796 :rule cong :premises (@p795) :args (@t62))
% 28.31/32.90  (step @p797 :rule cong :premises (@p114 @p796) :args (@t63))
% 28.31/32.90  (step @p798 :rule cong :premises (@p797) :args (@t64))
% 28.31/32.90  (step @p799 :rule trans :premises (@p798 @p794))
% 28.31/32.90  (step @p800 :rule eq_resolve :premises (@p26 @p799))
% 28.31/32.90  (step @p801 :rule instantiate :premises (@p800) :args ((@list @t172 @t367)))
% 28.31/32.90  (step @p802 :rule aci_norm :args ((= @t483 (or @t147 @t481 @t480))))
% 28.31/32.90  (step @p803 :rule cong :premises (@p802) :args (@t484))
% 28.31/32.90  (step @p804 :rule quant-merge-prenex :args ((= (forall @t9 @t486) @t484)))
% 28.31/32.90  (step @p805 :rule alpha_equiv :args (@t487 (@list @t479) @t202))
% 28.31/32.90  (step @p806 :rule nary_cong :premises (@p104 @p805) :args (@t488))
% 28.31/32.90  (step @p807 :rule quant-miniscope-or :args ((= @t486 @t488)))
% 28.31/32.90  (step @p808 :rule trans :premises (@p807 @p806))
% 28.31/32.90  (step @p809 :rule symm :premises (@p808))
% 28.31/32.90  (step @p810 :rule cong :premises (@p809) :args ((forall @t9 (or @t147 @t489))))
% 28.31/32.90  (step @p811 :rule trans :premises (@p810 @p804))
% 28.31/32.90  (step @p812 :rule trans :premises (@p811 @p803))
% 28.31/32.90  (step @p813 :rule bool-impl-elim :args (@t17 @t489))
% 28.31/32.90  (step @p814 :rule cong :premises (@p813) :args ((forall @t9 (=> @t17 @t489))))
% 28.31/32.90  (step @p815 :rule trans :premises (@p814 @p812))
% 28.31/32.90  (step @p816 :rule bool-impl-elim :args (@t6 @t41))
% 28.31/32.90  (step @p817 :rule cong :premises (@p816) :args (@t42))
% 28.31/32.90  (step @p818 :rule cong :premises (@p114 @p817) :args (@t43))
% 28.31/32.90  (step @p819 :rule cong :premises (@p818) :args (@t44))
% 28.31/32.90  (step @p820 :rule trans :premises (@p819 @p815))
% 28.31/32.90  (step @p821 :rule eq_resolve :premises (@p16 @p820))
% 28.31/32.90  (step @p822 :rule instantiate :premises (@p821) :args ((@list tptp.nil @t173)))
% 28.31/32.90  (step @p823 :rule cnf_or_pos :args (@t490))
% 28.31/32.90  (step @p824 :rule reordering :premises (@p823) :args ((or @t423 @t374 @t455 (not @t490))))
% 28.31/32.90  (step @p825 :rule chain_m_resolution :premises (@p824 @p17 @p747 @p822) :args (@t374 @t458 (@list @t45 @t375 @t490)))
% 28.31/32.90  (step @p826 :rule cnf_or_pos :args (@t492))
% 28.31/32.90  (step @p827 :rule reordering :premises (@p826) :args ((or @t372 @t491 @t456 (not @t492))))
% 28.31/32.90  (step @p828 :rule chain_m_resolution :premises (@p827 @p825 @p717 @p801) :args (@t372 @t458 (@list @t374 @t373 @t492)))
% 28.31/32.90  (step @p829 :rule eq-symm :args (@t376 @t386))
% 28.31/32.90  (step @p830 :rule nary_cong :premises (@p616 @p121 @p829) :args (@t493))
% 28.31/32.90  (step @p831 :rule cong :premises (@p618 @p830) :args ((=> @t425 @t493)))
% 28.31/32.90  (assume-push @p915 @t425)
% 28.31/32.90  (step @p833 :rule instantiate :premises (@p608) :args ((@list tptp.nil @t171)))
% 28.31/32.90  (step-pop @p916 :rule scope :premises (@p833))
% 28.31/32.90  (step @p834 :rule process_scope :premises (@p916) :args (@t493))
% 28.31/32.90  (step @p836 :rule eq_resolve :premises (@p834 @p831))
% 28.31/32.90  (step @p837 :rule implies_elim :premises (@p836))
% 28.31/32.90  (step @p838 :rule chain_m_resolution :premises (@p837 @p608) :args (@t495 @t184 @t428))
% 28.31/32.90  (step @p839 :rule cnf_or_pos :args (@t495))
% 28.31/32.90  (step @p840 :rule reordering :premises (@p839) :args ((or @t423 @t177 @t494 (not @t495))))
% 28.31/32.90  (step @p841 :rule chain_m_resolution :premises (@p840 @p17 @p663 @p838) :args (@t494 @t458 (@list @t45 @t176 @t495)))
% 28.31/32.90  (step @p842 :rule refl :args (@t376))
% 28.31/32.90  (step @p843 :rule refl :args (@t496))
% 28.31/32.90  (step @p844 :rule nary_cong :premises (@p843 @p751 @p842) :args ((or @t496 @t459 @t376)))
% 28.31/32.90  (step @p845 :rule cnf_equiv_pos1 :args (@t494))
% 28.31/32.90  (step @p846 :rule eq_resolve :premises (@p845 @p844))
% 28.31/32.90  (step @p847 :rule reordering :premises (@p846) :args ((or @t182 @t376 @t496)))
% 28.31/32.90  (step @p848 :rule chain_m_resolution :premises (@p847 @p656 @p841) :args (@t376 @t460 (@list @t182 @t494)))
% 28.31/32.90  (step @p849 :rule cnf_or_neg :args (@t390 4))
% 28.31/32.90  (step @p850 :rule chain_m_resolution :premises (@p849 @p570) :args ((not @t377) @t405 @t406))
% 28.31/32.90  (step @p851 :rule chain_m_resolution :premises (@p588 @p758) :args (@t366 @t405 @t461))
% 28.31/32.90  (step @p852 :rule bool-double-not-elim :args (@t370))
% 28.31/32.90  (step @p853 :rule refl :args (@t497))
% 28.31/32.90  (step @p854 :rule refl :args (@t491))
% 28.31/32.90  (step @p855 :rule refl :args (@t498))
% 28.31/32.90  (step @p856 :rule nary_cong :premises (@p542 @p855 @p770 @p854 @p769 @p853 @p852 @p553) :args ((or @t377 @t498 @t455 @t491 @t456 @t497 (not @t371) @t384)))
% 28.31/32.90  (step @p857 :rule cnf_and_neg :args (@t377))
% 28.31/32.90  (step @p858 :rule eq_resolve :premises (@p857 @p856))
% 28.31/32.90  (step @p859 :rule reordering :premises (@p858) :args ((or @t384 @t370 @t377 @t498 @t455 @t491 @t456 @t497)))
% 28.31/32.90  (step @p860 :rule chain_m_resolution :premises (@p859 @p851 @p850 @p848 @p747 @p825 @p717 @p828) :args (@t370 (@list false true false false false false false) (@list @t366 @t377 @t376 @t375 @t374 @t373 @t372)))
% 28.31/32.90  (step @p861 :rule cnf_or_pos :args (@t467))
% 28.31/32.90  (step @p862 :rule reordering :premises (@p861) :args ((or @t371 @t455 @t456 @t466 (not @t467))))
% 28.31/32.90  (step @p863 :rule chain_m_resolution :premises (@p862 @p860 @p747 @p717 @p780) :args (@t466 (@list false false false false) (@list @t370 @t375 @t373 @t467)))
% 28.31/32.90  (step @p864 :rule bool-double-not-elim :args (@t465))
% 28.31/32.90  (step @p865 :rule refl :args (@t499))
% 28.31/32.90  (step @p866 :rule refl :args (@t500))
% 28.31/32.90  (step @p867 :rule nary_cong :premises (@p866 @p865 @p864) :args ((or @t500 @t499 (not @t466))))
% 28.31/32.90  (assume-push @p917 @t466)
% 28.31/32.90  (assume-push @p918 @t454)
% 28.31/32.90  (assume-push @p919 @t175)
% 28.31/32.90  (step @p871 :rule evaluate :args ((= true false)))
% 28.31/32.90  (step @p872 :rule false_intro :premises (@p917))
% 28.31/32.90  (step @p873 :rule trans :premises (@p919 @p918))
% 28.31/32.90  (step @p874 :rule true_intro :premises (@p873))
% 28.31/32.90  (step @p875 :rule symm :premises (@p874))
% 28.31/32.90  (step @p876 :rule trans :premises (@p875 @p872))
% 28.31/32.90  (step @p877 false :rule eq_resolve :premises (@p876 @p871))
% 28.31/32.90  (step-pop @p920 :rule scope :premises (@p877))
% 28.31/32.90  (step-pop @p921 :rule scope :premises (@p920))
% 28.31/32.90  (step-pop @p922 :rule scope :premises (@p921))
% 28.31/32.90  (step @p878 :rule process_scope :premises (@p922) :args (false))
% 28.31/32.90  (assume-push @p923 @t175)
% 28.31/32.90  (assume-push @p924 @t454)
% 28.31/32.90  (assume-push @p925 @t466)
% 28.31/32.90  (step @p885 :rule and_intro :premises (@p925 @p924 @p923))
% 28.31/32.90  (step-pop @p926 :rule scope :premises (@p885))
% 28.31/32.90  (step-pop @p927 :rule scope :premises (@p926))
% 28.31/32.90  (step-pop @p928 :rule scope :premises (@p927))
% 28.31/32.90  (step @p886 :rule process_scope :premises (@p928) :args (@t501))
% 28.31/32.90  (step @p890 :rule implies_elim :premises (@p886))
% 28.31/32.90  (step @p891 :rule resolution :premises (@p890 @p878) :args (true @t501))
% 28.31/32.90  (step @p892 :rule not_and :premises (@p891))
% 28.31/32.90  (step @p893 :rule eq_resolve :premises (@p892 @p867))
% 28.31/32.90  (step @p894 false :rule chain_m_resolution :premises (@p893 @p863 @p750 @p666) :args (false (@list true false false) (@list @t465 @t454 @t175)))
% 28.31/32.90  )
% 28.31/32.90  % SZS output end Proof
% 28.31/32.90  % cvc5 exiting
%------------------------------------------------------------------------------