cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC009+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n021.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 08:57:41 AM UTC 2026

% Result   : Theorem 29.15s 29.38s
% Output   : Proof 29.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC009+1 : TPTP v9.2.1. Released v2.4.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n021.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 19:10:20 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 29.15/29.38  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 29.15/29.38  --- Run --no-e-matching --full-saturate-quant at 6...
% 29.15/29.38  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 29.15/29.38  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 29.15/29.38  % SZS status Theorem
% 29.15/29.38  % SZS output start Proof
% 29.15/29.38  (
% 29.15/29.38  (declare-sort $$unsorted 0)
% 29.15/29.38  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 29.15/29.38  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 29.15/29.38  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 29.15/29.38  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 29.15/29.38  (declare-const tptp.nil $$unsorted)
% 29.15/29.38  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.ssList (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 29.15/29.38  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 29.15/29.38  (define @t1 () (@var "V" $$unsorted))
% 29.15/29.38  (define @t2 () (@var "U" $$unsorted))
% 29.15/29.38  (define @t3 () (= @t2 @t1))
% 29.15/29.38  (define @t4 () (not @t3))
% 29.15/29.38  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 29.15/29.38  (define @t6 () (tptp.ssItem @t1))
% 29.15/29.38  (define @t7 () (@list @t1))
% 29.15/29.38  (define @t8 () (tptp.ssItem @t2))
% 29.15/29.38  (define @t9 () (@list @t2))
% 29.15/29.38  (define @t10 () (@var "X" $$unsorted))
% 29.15/29.38  (define @t11 () (tptp.cons @t1 @t10))
% 29.15/29.38  (define @t12 () (@var "W" $$unsorted))
% 29.15/29.38  (define @t13 () (tptp.ssList @t10))
% 29.15/29.38  (define @t14 () (@list @t10))
% 29.15/29.38  (define @t15 () (tptp.ssList @t12))
% 29.15/29.38  (define @t16 () (@list @t12))
% 29.15/29.38  (define @t17 () (tptp.ssList @t2))
% 29.15/29.38  (define @t18 () (tptp.cons @t1 tptp.nil))
% 29.15/29.38  (define @t19 () (tptp.app @t1 @t12))
% 29.15/29.38  (define @t20 () (tptp.frontsegP @t2 @t1))
% 29.15/29.38  (define @t21 () (tptp.ssList @t1))
% 29.15/29.38  (define @t22 () (tptp.app @t12 @t1))
% 29.15/29.38  (define @t23 () (tptp.rearsegP @t2 @t1))
% 29.15/29.38  (define @t24 () (tptp.segmentP @t2 @t1))
% 29.15/29.38  (define @t25 () (tptp.leq @t12 @t1))
% 29.15/29.38  (define @t26 () (tptp.leq @t1 @t12))
% 29.15/29.38  (define @t27 () (@var "Z" $$unsorted))
% 29.15/29.38  (define @t28 () (@var "Y" $$unsorted))
% 29.15/29.38  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 29.15/29.38  (define @t30 () (tptp.ssList @t27))
% 29.15/29.38  (define @t31 () (@list @t27))
% 29.15/29.38  (define @t32 () (tptp.ssList @t28))
% 29.15/29.38  (define @t33 () (@list @t28))
% 29.15/29.38  (define @t34 () (tptp.ssItem @t12))
% 29.15/29.38  (define @t35 () (tptp.lt @t1 @t12))
% 29.15/29.38  (define @t36 () (tptp.strictorderedP @t2))
% 29.15/29.38  (define @t37 () (= @t1 @t12))
% 29.15/29.38  (define @t38 () (tptp.cons @t1 @t2))
% 29.15/29.38  (define @t39 () (tptp.ssList tptp.nil))
% 29.15/29.38  (define @t40 () (= @t1 @t2))
% 29.15/29.38  (define @t41 () (tptp.cons @t12 @t1))
% 29.15/29.38  (define @t42 () (= tptp.nil @t2))
% 29.15/29.38  (define @t43 () (tptp.hd @t2))
% 29.15/29.38  (define @t44 () (not @t42))
% 29.15/29.38  (define @t45 () (tptp.tl @t2))
% 29.15/29.38  (define @t46 () (tptp.app @t2 @t1))
% 29.15/29.38  (define @t47 () (tptp.app @t1 @t2))
% 29.15/29.38  (define @t48 () (tptp.app tptp.nil @t2))
% 29.15/29.38  (define @t49 () (=> @t17 (= @t48 @t2)))
% 29.15/29.38  (define @t50 () (forall @t9 @t49))
% 29.15/29.38  (define @t51 () (tptp.leq @t1 @t2))
% 29.15/29.38  (define @t52 () (tptp.leq @t2 @t1))
% 29.15/29.38  (define @t53 () (tptp.geq @t2 @t1))
% 29.15/29.38  (define @t54 () (tptp.lt @t1 @t2))
% 29.15/29.38  (define @t55 () (tptp.lt @t2 @t1))
% 29.15/29.38  (define @t56 () (tptp.lt @t2 @t12))
% 29.15/29.38  (define @t57 () (tptp.gt @t2 @t1))
% 29.15/29.38  (define @t58 () (tptp.memberP @t12 @t2))
% 29.15/29.38  (define @t59 () (tptp.app @t12 @t2))
% 29.15/29.38  (define @t60 () (tptp.cons @t2 tptp.nil))
% 29.15/29.38  (define @t61 () (tptp.hd @t1))
% 29.15/29.38  (define @t62 () (= tptp.nil @t1))
% 29.15/29.38  (define @t63 () (not @t62))
% 29.15/29.38  (define @t64 () (tptp.cons @t2 @t1))
% 29.15/29.38  (define @t65 () (= @t12 @t2))
% 29.15/29.38  (define @t66 () (= (tptp.app @t46 @t12) (tptp.app @t2 @t19)))
% 29.15/29.38  (define @t67 () (forall @t16 (=> @t15 @t66)))
% 29.15/29.38  (define @t68 () (=> @t21 @t67))
% 29.15/29.38  (define @t69 () (forall @t7 @t68))
% 29.15/29.38  (define @t70 () (=> @t17 @t69))
% 29.15/29.38  (define @t71 () (forall @t9 @t70))
% 29.15/29.38  (define @t72 () (tptp.app @t2 tptp.nil))
% 29.15/29.38  (define @t73 () (=> @t17 (= @t72 @t2)))
% 29.15/29.38  (define @t74 () (forall @t9 @t73))
% 29.15/29.38  (define @t75 () (not (= tptp.nil @t10)))
% 29.15/29.38  (define @t76 () (and @t75 (= tptp.nil @t12)))
% 29.15/29.38  (define @t77 () (@var "X3" $$unsorted))
% 29.15/29.38  (define @t78 () (@var "X5" $$unsorted))
% 29.15/29.38  (define @t79 () (tptp.lt @t78 @t77))
% 29.15/29.38  (define @t80 () (tptp.cons @t78 tptp.nil))
% 29.15/29.38  (define @t81 () (@var "X6" $$unsorted))
% 29.15/29.38  (define @t82 () (tptp.app @t81 @t80))
% 29.15/29.38  (define @t83 () (tptp.ssList @t81))
% 29.15/29.38  (define @t84 () (and @t83 (= @t82 @t12) @t79))
% 29.15/29.38  (define @t85 () (@list @t81))
% 29.15/29.38  (define @t86 () (exists @t85 @t84))
% 29.15/29.38  (define @t87 () (tptp.ssItem @t78))
% 29.15/29.38  (define @t88 () (and @t87 @t86))
% 29.15/29.38  (define @t89 () (@list @t78))
% 29.15/29.38  (define @t90 () (exists @t89 @t88))
% 29.15/29.38  (define @t91 () (@var "X2" $$unsorted))
% 29.15/29.38  (define @t92 () (@var "X4" $$unsorted))
% 29.15/29.38  (define @t93 () (tptp.cons @t77 tptp.nil))
% 29.15/29.38  (define @t94 () (tptp.app @t93 @t92))
% 29.15/29.38  (define @t95 () (tptp.ssList @t92))
% 29.15/29.38  (define @t96 () (and @t95 (= @t94 @t91) @t90))
% 29.15/29.38  (define @t97 () (@list @t92))
% 29.15/29.38  (define @t98 () (exists @t97 @t96))
% 29.15/29.38  (define @t99 () (tptp.ssItem @t77))
% 29.15/29.38  (define @t100 () (and @t99 @t98))
% 29.15/29.38  (define @t101 () (@list @t77))
% 29.15/29.38  (define @t102 () (exists @t101 @t100))
% 29.15/29.38  (define @t103 () (not (tptp.strictorderedP @t12)))
% 29.15/29.38  (define @t104 () (tptp.app @t12 @t91))
% 29.15/29.38  (define @t105 () (not (= @t104 @t10)))
% 29.15/29.38  (define @t106 () (or @t105 @t103 @t102))
% 29.15/29.38  (define @t107 () (tptp.ssList @t91))
% 29.15/29.38  (define @t108 () (=> @t107 @t106))
% 29.15/29.38  (define @t109 () (@list @t91))
% 29.15/29.38  (define @t110 () (forall @t109 @t108))
% 29.15/29.38  (define @t111 () (@var "X1" $$unsorted))
% 29.15/29.38  (define @t112 () (tptp.app @t28 @t111))
% 29.15/29.38  (define @t113 () (tptp.app @t28 @t27))
% 29.15/29.38  (define @t114 () (tptp.app @t113 @t111))
% 29.15/29.38  (define @t115 () (tptp.ssList @t111))
% 29.15/29.38  (define @t116 () (and @t115 (= @t114 @t1) (= @t112 @t2)))
% 29.15/29.38  (define @t117 () (@list @t111))
% 29.15/29.38  (define @t118 () (exists @t117 @t116))
% 29.15/29.38  (define @t119 () (and @t30 @t118))
% 29.15/29.38  (define @t120 () (exists @t31 @t119))
% 29.15/29.38  (define @t121 () (and @t32 @t120))
% 29.15/29.38  (define @t122 () (exists @t33 @t121))
% 29.15/29.38  (define @t123 () (not (= @t2 @t12)))
% 29.15/29.38  (define @t124 () (not (= @t1 @t10)))
% 29.15/29.38  (define @t125 () (or @t124 @t123 @t122 @t110 @t76))
% 29.15/29.38  (define @t126 () (=> @t13 @t125))
% 29.15/29.38  (define @t127 () (forall @t14 @t126))
% 29.15/29.38  (define @t128 () (=> @t15 @t127))
% 29.15/29.38  (define @t129 () (forall @t16 @t128))
% 29.15/29.38  (define @t130 () (=> @t21 @t129))
% 29.15/29.38  (define @t131 () (forall @t7 @t130))
% 29.15/29.38  (define @t132 () (=> @t17 @t131))
% 29.15/29.38  (define @t133 () (forall @t9 @t132))
% 29.15/29.38  (define @t134 () (not @t133))
% 29.15/29.38  (define @t135 () (= @t2 @t72))
% 29.15/29.38  (define @t136 () (@var "BOUND_VARIABLE_11285" $$unsorted))
% 29.15/29.38  (define @t137 () (@var "BOUND_VARIABLE_11108" $$unsorted))
% 29.15/29.38  (define @t138 () (tptp.app @t93 @t137))
% 29.15/29.38  (define @t139 () (not (tptp.ssList @t137)))
% 29.15/29.38  (define @t140 () (@var "BOUND_VARIABLE_11093" $$unsorted))
% 29.15/29.38  (define @t141 () (@var "BOUND_VARIABLE_11095" $$unsorted))
% 29.15/29.38  (define @t142 () (tptp.app @t141 (tptp.cons @t140 tptp.nil)))
% 29.15/29.38  (define @t143 () (not (= @t2 @t142)))
% 29.15/29.38  (define @t144 () (not (tptp.ssList @t141)))
% 29.15/29.38  (define @t145 () (not (tptp.lt @t140 @t77)))
% 29.15/29.38  (define @t146 () (not (tptp.ssItem @t140)))
% 29.15/29.38  (define @t147 () (not @t99))
% 29.15/29.38  (define @t148 () (@list @t77 @t140 @t141 @t137))
% 29.15/29.38  (define @t149 () (not (forall @t148 (or @t147 @t146 @t145 @t144 @t143 @t139 (not (= @t138 @t136))))))
% 29.15/29.38  (define @t150 () (not (tptp.ssList @t136)))
% 29.15/29.38  (define @t151 () (= @t2 tptp.nil))
% 29.15/29.38  (define @t152 () (tptp.app @t2 @t136))
% 29.15/29.38  (define @t153 () (and (not (= tptp.nil @t152)) @t151))
% 29.15/29.38  (define @t154 () (@var "BOUND_VARIABLE_11012" $$unsorted))
% 29.15/29.38  (define @t155 () (tptp.app @t28 @t154))
% 29.15/29.38  (define @t156 () (not (= @t2 @t155)))
% 29.15/29.38  (define @t157 () (@var "BOUND_VARIABLE_11010" $$unsorted))
% 29.15/29.38  (define @t158 () (tptp.app (tptp.app @t28 @t157) @t154))
% 29.15/29.38  (define @t159 () (not (tptp.ssList @t154)))
% 29.15/29.38  (define @t160 () (not (tptp.ssList @t157)))
% 29.15/29.38  (define @t161 () (not @t32))
% 29.15/29.38  (define @t162 () (@list @t28 @t157 @t154))
% 29.15/29.38  (define @t163 () (not (forall @t162 (or @t161 @t160 @t159 (not (= @t158 @t152)) @t156))))
% 29.15/29.38  (define @t164 () (not (tptp.ssList @t152)))
% 29.15/29.38  (define @t165 () (not @t36))
% 29.15/29.38  (define @t166 () (not @t17))
% 29.15/29.38  (define @t167 () (or @t166 @t165 @t164 @t163 @t153 @t150 @t149))
% 29.15/29.38  (define @t168 () (@list @t2 @t136))
% 29.15/29.38  (define @t169 () (forall @t168 @t167))
% 29.15/29.38  (define @t170 () (@quantifiers_skolemize @t169 0))
% 29.15/29.38  (define @t171 () (or @t164 @t163 @t153 @t150 @t149))
% 29.15/29.38  (define @t172 () (or @t166 @t165 @t171))
% 29.15/29.38  (define @t173 () (forall @t168 @t172))
% 29.15/29.38  (define @t174 () (@list @t136))
% 29.15/29.38  (define @t175 () (forall @t174 @t172))
% 29.15/29.38  (define @t176 () (forall @t174 @t171))
% 29.15/29.38  (define @t177 () (@var "BOUND_VARIABLE_11237" $$unsorted))
% 29.15/29.38  (define @t178 () (@list @t177))
% 29.15/29.38  (define @t179 () (or @t166 @t165 @t176))
% 29.15/29.38  (define @t180 () (not (forall @t148 (or @t147 @t146 @t145 @t144 @t143 @t139 (not (= @t138 @t177))))))
% 29.15/29.38  (define @t181 () (not (tptp.ssList @t177)))
% 29.15/29.38  (define @t182 () (tptp.app @t2 @t177))
% 29.15/29.38  (define @t183 () (and (not (= tptp.nil @t182)) @t151))
% 29.15/29.38  (define @t184 () (not (forall @t162 (or @t161 @t160 @t159 (not (= @t158 @t182)) @t156))))
% 29.15/29.38  (define @t185 () (not (tptp.ssList @t182)))
% 29.15/29.38  (define @t186 () (or @t185 @t184 @t183 @t181 @t180))
% 29.15/29.38  (define @t187 () (@list @t177))
% 29.15/29.38  (define @t188 () (or @t166 @t165 (forall @t187 @t186)))
% 29.15/29.38  (define @t189 () (not (= @t182 @t182)))
% 29.15/29.38  (define @t190 () (not (= @t182 tptp.nil)))
% 29.15/29.38  (define @t191 () (and @t190 @t151))
% 29.15/29.38  (define @t192 () (not (= @t182 @t158)))
% 29.15/29.38  (define @t193 () (or @t161 @t160 @t159 @t192 @t156))
% 29.15/29.38  (define @t194 () (forall @t162 @t193))
% 29.15/29.38  (define @t195 () (not @t194))
% 29.15/29.38  (define @t196 () (or @t185 @t195 @t191 @t181 @t189 @t180))
% 29.15/29.38  (define @t197 () (not (= @t1 @t182)))
% 29.15/29.38  (define @t198 () (not (= @t1 tptp.nil)))
% 29.15/29.38  (define @t199 () (and @t198 @t151))
% 29.15/29.38  (define @t200 () (not (= @t1 @t158)))
% 29.15/29.38  (define @t201 () (or @t161 @t160 @t159 @t200 @t156))
% 29.15/29.38  (define @t202 () (not (forall @t162 @t201)))
% 29.15/29.38  (define @t203 () (not @t21))
% 29.15/29.38  (define @t204 () (or @t197 @t203 @t202 @t199 @t181 @t197 @t180))
% 29.15/29.38  (define @t205 () (or @t203 @t202 @t199 @t181 @t197 @t180))
% 29.15/29.38  (define @t206 () (forall @t7 @t205))
% 29.15/29.38  (define @t207 () (forall @t187 @t206))
% 29.15/29.38  (define @t208 () (forall (@list @t177 @t1) @t205))
% 29.15/29.38  (define @t209 () (@list @t1 @t177))
% 29.15/29.38  (define @t210 () (or @t181 @t197 @t180))
% 29.15/29.38  (define @t211 () (or @t203 @t202 @t199 @t210))
% 29.15/29.38  (define @t212 () (forall @t209 @t211))
% 29.15/29.38  (define @t213 () (forall @t187 @t211))
% 29.15/29.38  (define @t214 () (forall @t187 @t210))
% 29.15/29.38  (define @t215 () (@var "BOUND_VARIABLE_11189" $$unsorted))
% 29.15/29.38  (define @t216 () (@list @t215))
% 29.15/29.38  (define @t217 () (or @t203 @t202 @t199 @t214))
% 29.15/29.38  (define @t218 () (not (= @t138 @t215)))
% 29.15/29.38  (define @t219 () (not (forall @t148 (or @t147 @t146 @t145 @t144 @t143 @t139 @t218))))
% 29.15/29.38  (define @t220 () (not (= @t1 (tptp.app @t2 @t215))))
% 29.15/29.38  (define @t221 () (not (tptp.ssList @t215)))
% 29.15/29.38  (define @t222 () (or @t221 @t220 @t219))
% 29.15/29.38  (define @t223 () (@list @t215))
% 29.15/29.38  (define @t224 () (forall @t223 @t222))
% 29.15/29.38  (define @t225 () (or @t203 @t202 @t199 @t224))
% 29.15/29.38  (define @t226 () (forall @t7 @t225))
% 29.15/29.38  (define @t227 () (or @t166 @t165 @t226))
% 29.15/29.38  (define @t228 () (or @t166 @t165 @t225))
% 29.15/29.38  (define @t229 () (or @t203 @t202 @t166 @t165 @t199 @t224))
% 29.15/29.38  (define @t230 () (or @t202 @t203 @t166 @t165 @t199 @t224))
% 29.15/29.38  (define @t231 () (or @t166 @t165 @t199 @t224))
% 29.15/29.38  (define @t232 () (or @t166 @t165 @t199 @t222))
% 29.15/29.38  (define @t233 () (or @t166 @t165 @t199 @t221 @t220 @t219))
% 29.15/29.38  (define @t234 () (not (= @t2 @t2)))
% 29.15/29.38  (define @t235 () (or @t166 @t234 @t165 @t199 @t221 @t220 @t219))
% 29.15/29.38  (define @t236 () (not (= @t12 @t142)))
% 29.15/29.38  (define @t237 () (not (forall @t148 (or @t147 @t146 @t145 @t144 @t236 @t139 @t218))))
% 29.15/29.38  (define @t238 () (not (= @t1 (tptp.app @t12 @t215))))
% 29.15/29.38  (define @t239 () (= @t12 tptp.nil))
% 29.15/29.38  (define @t240 () (and @t198 @t239))
% 29.15/29.38  (define @t241 () (not @t15))
% 29.15/29.38  (define @t242 () (or @t123 @t241 @t123 @t103 @t240 @t221 @t238 @t237))
% 29.15/29.38  (define @t243 () (or @t241 @t123 @t103 @t240 @t221 @t238 @t237))
% 29.15/29.38  (define @t244 () (forall @t16 @t243))
% 29.15/29.38  (define @t245 () (forall @t223 @t244))
% 29.15/29.38  (define @t246 () (forall (@list @t215 @t12) @t243))
% 29.15/29.38  (define @t247 () (@list @t12 @t215))
% 29.15/29.38  (define @t248 () (or @t221 @t238 @t237))
% 29.15/29.38  (define @t249 () (or @t241 @t123 @t103 @t240 @t248))
% 29.15/29.38  (define @t250 () (forall @t247 @t249))
% 29.15/29.38  (define @t251 () (forall @t223 @t249))
% 29.15/29.38  (define @t252 () (forall @t223 @t248))
% 29.15/29.38  (define @t253 () (@var "BOUND_VARIABLE_11144" $$unsorted))
% 29.15/29.38  (define @t254 () (@list @t253))
% 29.15/29.38  (define @t255 () (or @t241 @t123 @t103 @t240 @t252))
% 29.15/29.38  (define @t256 () (not (forall @t148 (or @t147 @t146 @t145 @t144 @t236 @t139 (not (= @t138 @t253))))))
% 29.15/29.38  (define @t257 () (tptp.app @t12 @t253))
% 29.15/29.38  (define @t258 () (not (= @t1 @t257)))
% 29.15/29.38  (define @t259 () (not (tptp.ssList @t253)))
% 29.15/29.38  (define @t260 () (or @t259 @t258 @t256))
% 29.15/29.38  (define @t261 () (@list @t253))
% 29.15/29.38  (define @t262 () (forall @t261 @t260))
% 29.15/29.38  (define @t263 () (or @t241 @t123 @t103 @t240 @t262))
% 29.15/29.38  (define @t264 () (forall @t16 @t263))
% 29.15/29.38  (define @t265 () (or @t202 @t203 @t264))
% 29.15/29.38  (define @t266 () (or @t202 @t203 @t263))
% 29.15/29.38  (define @t267 () (or @t241 @t123 @t202 @t103 @t203 @t240 @t262))
% 29.15/29.38  (define @t268 () (or @t123 @t202 @t103 @t203 @t240 @t262))
% 29.15/29.38  (define @t269 () (or @t203 @t240 @t262))
% 29.15/29.38  (define @t270 () (or @t203 @t240 @t260))
% 29.15/29.38  (define @t271 () (or @t203 @t240 @t259 @t258 @t256))
% 29.15/29.38  (define @t272 () (not (= @t1 @t1)))
% 29.15/29.38  (define @t273 () (or @t203 @t272 @t240 @t259 @t258 @t256))
% 29.15/29.38  (define @t274 () (not (= @t10 @t257)))
% 29.15/29.38  (define @t275 () (and (not (= @t10 tptp.nil)) @t239))
% 29.15/29.38  (define @t276 () (not @t13))
% 29.15/29.38  (define @t277 () (or @t124 @t276 @t124 @t275 @t259 @t274 @t256))
% 29.15/29.38  (define @t278 () (or @t276 @t124 @t275 @t259 @t274 @t256))
% 29.15/29.38  (define @t279 () (forall @t14 @t278))
% 29.15/29.38  (define @t280 () (forall @t261 @t279))
% 29.15/29.38  (define @t281 () (forall (@list @t253 @t10) @t278))
% 29.15/29.38  (define @t282 () (@list @t10 @t253))
% 29.15/29.38  (define @t283 () (not (= @t253 @t138)))
% 29.15/29.38  (define @t284 () (or @t147 @t146 @t145 @t144 @t236 @t139 @t283))
% 29.15/29.38  (define @t285 () (forall @t148 @t284))
% 29.15/29.38  (define @t286 () (not @t285))
% 29.15/29.38  (define @t287 () (or @t276 @t124 @t275 @t259 @t274 @t286))
% 29.15/29.38  (define @t288 () (or @t259 @t274 @t286))
% 29.15/29.38  (define @t289 () (or @t276 @t124 @t275 @t288))
% 29.15/29.38  (define @t290 () (forall @t282 @t289))
% 29.15/29.38  (define @t291 () (forall @t261 @t289))
% 29.15/29.38  (define @t292 () (forall @t261 @t288))
% 29.15/29.38  (define @t293 () (or @t276 @t124 @t275 @t292))
% 29.15/29.38  (define @t294 () (not (= @t91 @t138)))
% 29.15/29.38  (define @t295 () (or @t147 @t146 @t145 @t144 @t236 @t139 @t294))
% 29.15/29.38  (define @t296 () (not (forall @t148 @t295)))
% 29.15/29.38  (define @t297 () (not (= @t10 @t104)))
% 29.15/29.38  (define @t298 () (not @t107))
% 29.15/29.38  (define @t299 () (or @t298 @t297 @t296))
% 29.15/29.38  (define @t300 () (forall @t109 @t299))
% 29.15/29.38  (define @t301 () (or @t276 @t124 @t275 @t300))
% 29.15/29.38  (define @t302 () (forall @t14 @t301))
% 29.15/29.38  (define @t303 () (or @t123 @t202 @t103 @t302))
% 29.15/29.38  (define @t304 () (or @t123 @t202 @t103 @t301))
% 29.15/29.38  (define @t305 () (or @t276 @t124 @t123 @t202 @t275 @t103 @t300))
% 29.15/29.38  (define @t306 () (or @t124 @t123 @t202 @t275 @t103 @t300))
% 29.15/29.38  (define @t307 () (or @t103 @t300))
% 29.15/29.38  (define @t308 () (or @t103 @t299))
% 29.15/29.38  (define @t309 () (or @t298 @t297 @t103 @t296))
% 29.15/29.38  (define @t310 () (or @t297 @t103 @t296))
% 29.15/29.38  (define @t311 () (or @t139 @t294))
% 29.15/29.38  (define @t312 () (or @t146 @t145 @t144 @t236))
% 29.15/29.38  (define @t313 () (or @t147 @t312 @t311))
% 29.15/29.38  (define @t314 () (forall @t148 @t313))
% 29.15/29.38  (define @t315 () (forall (@list @t140 @t141 @t137) @t313))
% 29.15/29.38  (define @t316 () (forall (@list @t137) @t311))
% 29.15/29.38  (define @t317 () (forall (@list @t140 @t141) @t312))
% 29.15/29.38  (define @t318 () (@var "BOUND_VARIABLE_11058" $$unsorted))
% 29.15/29.38  (define @t319 () (or @t147 @t317 @t316))
% 29.15/29.38  (define @t320 () (= @t91 @t94))
% 29.15/29.38  (define @t321 () (not @t320))
% 29.15/29.38  (define @t322 () (not @t95))
% 29.15/29.38  (define @t323 () (or @t322 @t321))
% 29.15/29.38  (define @t324 () (forall @t97 @t323))
% 29.15/29.38  (define @t325 () (not (= @t12 (tptp.app @t318 @t80))))
% 29.15/29.38  (define @t326 () (not (tptp.ssList @t318)))
% 29.15/29.38  (define @t327 () (not @t79))
% 29.15/29.38  (define @t328 () (not @t87))
% 29.15/29.38  (define @t329 () (or @t328 @t327 @t326 @t325))
% 29.15/29.38  (define @t330 () (@list @t78 @t318))
% 29.15/29.38  (define @t331 () (forall @t330 @t329))
% 29.15/29.38  (define @t332 () (or @t147 @t331 @t324))
% 29.15/29.38  (define @t333 () (or @t331 @t324))
% 29.15/29.38  (define @t334 () (not @t333))
% 29.15/29.38  (define @t335 () (and @t99 @t334))
% 29.15/29.38  (define @t336 () (forall @t101 (not @t335)))
% 29.15/29.38  (define @t337 () (not @t336))
% 29.15/29.38  (define @t338 () (or @t331 @t323))
% 29.15/29.38  (define @t339 () (or @t322 @t321 @t331))
% 29.15/29.38  (define @t340 () (not @t331))
% 29.15/29.38  (define @t341 () (not @t340))
% 29.15/29.38  (define @t342 () (or @t322 @t321 @t341))
% 29.15/29.38  (define @t343 () (and @t95 @t320 @t340))
% 29.15/29.38  (define @t344 () (forall @t97 (not @t343)))
% 29.15/29.38  (define @t345 () (not @t344))
% 29.15/29.38  (define @t346 () (or @t326 @t325))
% 29.15/29.38  (define @t347 () (or @t328 @t327 @t346))
% 29.15/29.38  (define @t348 () (forall @t330 @t347))
% 29.15/29.38  (define @t349 () (@list @t318))
% 29.15/29.38  (define @t350 () (forall @t349 @t347))
% 29.15/29.38  (define @t351 () (forall @t349 @t346))
% 29.15/29.38  (define @t352 () (or @t328 @t327 @t351))
% 29.15/29.38  (define @t353 () (= @t12 @t82))
% 29.15/29.38  (define @t354 () (not @t353))
% 29.15/29.38  (define @t355 () (not @t83))
% 29.15/29.38  (define @t356 () (or @t355 @t354))
% 29.15/29.38  (define @t357 () (forall @t85 @t356))
% 29.15/29.38  (define @t358 () (or @t328 @t327 @t357))
% 29.15/29.38  (define @t359 () (or @t327 @t357))
% 29.15/29.38  (define @t360 () (not @t359))
% 29.15/29.38  (define @t361 () (and @t87 @t360))
% 29.15/29.38  (define @t362 () (forall @t89 (not @t361)))
% 29.15/29.38  (define @t363 () (not @t362))
% 29.15/29.38  (define @t364 () (or @t327 @t356))
% 29.15/29.38  (define @t365 () (or @t355 @t354 @t327))
% 29.15/29.38  (define @t366 () (and @t83 @t353 @t79))
% 29.15/29.38  (define @t367 () (forall @t85 (not @t366)))
% 29.15/29.38  (define @t368 () (not @t367))
% 29.15/29.38  (define @t369 () (or @t160 @t159 @t200 @t156))
% 29.15/29.38  (define @t370 () (or @t161 @t369))
% 29.15/29.38  (define @t371 () (forall @t162 @t370))
% 29.15/29.38  (define @t372 () (@list @t157 @t154))
% 29.15/29.38  (define @t373 () (forall @t372 @t370))
% 29.15/29.38  (define @t374 () (forall @t372 @t369))
% 29.15/29.38  (define @t375 () (@var "BOUND_VARIABLE_10986" $$unsorted))
% 29.15/29.38  (define @t376 () (or @t161 @t374))
% 29.15/29.38  (define @t377 () (not (= @t2 (tptp.app @t28 @t375))))
% 29.15/29.38  (define @t378 () (not (= @t1 (tptp.app @t113 @t375))))
% 29.15/29.38  (define @t379 () (not (tptp.ssList @t375)))
% 29.15/29.38  (define @t380 () (not @t30))
% 29.15/29.38  (define @t381 () (or @t380 @t379 @t378 @t377))
% 29.15/29.38  (define @t382 () (@list @t27 @t375))
% 29.15/29.38  (define @t383 () (forall @t382 @t381))
% 29.15/29.38  (define @t384 () (not @t383))
% 29.15/29.38  (define @t385 () (and @t32 @t384))
% 29.15/29.38  (define @t386 () (forall @t33 (not @t385)))
% 29.15/29.38  (define @t387 () (not @t386))
% 29.15/29.38  (define @t388 () (or @t379 @t378 @t377))
% 29.15/29.38  (define @t389 () (or @t380 @t388))
% 29.15/29.38  (define @t390 () (forall @t382 @t389))
% 29.15/29.38  (define @t391 () (@list @t375))
% 29.15/29.38  (define @t392 () (forall @t391 @t389))
% 29.15/29.38  (define @t393 () (forall @t391 @t388))
% 29.15/29.38  (define @t394 () (or @t380 @t393))
% 29.15/29.38  (define @t395 () (= @t2 @t112))
% 29.15/29.38  (define @t396 () (not @t395))
% 29.15/29.38  (define @t397 () (= @t1 @t114))
% 29.15/29.38  (define @t398 () (not @t397))
% 29.15/29.38  (define @t399 () (not @t115))
% 29.15/29.38  (define @t400 () (or @t399 @t398 @t396))
% 29.15/29.38  (define @t401 () (forall @t117 @t400))
% 29.15/29.38  (define @t402 () (not @t401))
% 29.15/29.38  (define @t403 () (and @t30 @t402))
% 29.15/29.38  (define @t404 () (forall @t31 (not @t403)))
% 29.15/29.38  (define @t405 () (not @t404))
% 29.15/29.38  (define @t406 () (and @t115 @t397 @t395))
% 29.15/29.38  (define @t407 () (forall @t117 (not @t406)))
% 29.15/29.38  (define @t408 () (not @t407))
% 29.15/29.38  (define @t409 () (@quantifiers_skolemize @t169 1))
% 29.15/29.38  (define @t410 () (not (= @t138 @t409)))
% 29.15/29.38  (define @t411 () (tptp.ssList @t409))
% 29.15/29.38  (define @t412 () (not @t411))
% 29.15/29.38  (define @t413 () (tptp.app @t170 @t409))
% 29.15/29.38  (define @t414 () (not (= tptp.nil @t413)))
% 29.15/29.38  (define @t415 () (not (= @t158 @t413)))
% 29.15/29.38  (define @t416 () (forall @t162 (or @t161 @t160 @t159 @t415 (not (= @t155 @t170)))))
% 29.15/29.38  (define @t417 () (not @t416))
% 29.15/29.38  (define @t418 () (not (tptp.ssList @t413)))
% 29.15/29.38  (define @t419 () (not (tptp.strictorderedP @t170)))
% 29.15/29.38  (define @t420 () (tptp.ssList @t170))
% 29.15/29.38  (define @t421 () (not @t420))
% 29.15/29.38  (define @t422 () (or @t421 @t419 @t418 @t417 (and @t414 (= tptp.nil @t170)) @t412 (not (forall @t148 (or @t147 @t146 @t145 @t144 (not (= @t142 @t170)) @t139 @t410)))))
% 29.15/29.38  (define @t423 () (not @t422))
% 29.15/29.38  (define @t424 () (not @t169))
% 29.15/29.38  (define @t425 () (not (= @t170 @t142)))
% 29.15/29.38  (define @t426 () (or @t147 @t146 @t145 @t144 @t425 @t139 @t410))
% 29.15/29.38  (define @t427 () (forall @t148 @t426))
% 29.15/29.38  (define @t428 () (not @t427))
% 29.15/29.38  (define @t429 () (and @t414 (= @t170 tptp.nil)))
% 29.15/29.38  (define @t430 () (not (= @t170 @t155)))
% 29.15/29.38  (define @t431 () (or @t161 @t160 @t159 @t415 @t430))
% 29.15/29.38  (define @t432 () (forall @t162 @t431))
% 29.15/29.38  (define @t433 () (not @t432))
% 29.15/29.38  (define @t434 () (or @t421 @t419 @t418 @t433 @t429 @t412 @t428))
% 29.15/29.38  (define @t435 () (not @t434))
% 29.15/29.38  (define @t436 () (@list true))
% 29.15/29.38  (define @t437 () (@list @t422))
% 29.15/29.38  (define @t438 () (tptp.app @t170 tptp.nil))
% 29.15/29.38  (define @t439 () (= @t170 @t438))
% 29.15/29.38  (define @t440 () (or @t421 @t439))
% 29.15/29.38  (define @t441 () (@list false false))
% 29.15/29.38  (define @t442 () (@var "BOUND_VARIABLE_10608" $$unsorted))
% 29.15/29.38  (define @t443 () (@var "BOUND_VARIABLE_10606" $$unsorted))
% 29.15/29.38  (define @t444 () (= (tptp.app (tptp.app @t2 @t443) @t442) (tptp.app @t2 (tptp.app @t443 @t442))))
% 29.15/29.38  (define @t445 () (not (tptp.ssList @t442)))
% 29.15/29.38  (define @t446 () (not (tptp.ssList @t443)))
% 29.15/29.38  (define @t447 () (or @t446 @t445 @t444))
% 29.15/29.38  (define @t448 () (or @t166 @t447))
% 29.15/29.38  (define @t449 () (forall (@list @t2 @t443 @t442) @t448))
% 29.15/29.38  (define @t450 () (@list @t443 @t442))
% 29.15/29.38  (define @t451 () (forall @t450 @t448))
% 29.15/29.38  (define @t452 () (forall @t450 @t447))
% 29.15/29.38  (define @t453 () (@var "BOUND_VARIABLE_10588" $$unsorted))
% 29.15/29.38  (define @t454 () (or @t166 @t452))
% 29.15/29.38  (define @t455 () (= (tptp.app @t46 @t453) (tptp.app @t2 (tptp.app @t1 @t453))))
% 29.15/29.38  (define @t456 () (not (tptp.ssList @t453)))
% 29.15/29.38  (define @t457 () (or @t203 @t456 @t455))
% 29.15/29.38  (define @t458 () (@list @t1 @t453))
% 29.15/29.38  (define @t459 () (forall @t458 @t457))
% 29.15/29.38  (define @t460 () (or @t456 @t455))
% 29.15/29.38  (define @t461 () (or @t203 @t460))
% 29.15/29.38  (define @t462 () (forall @t458 @t461))
% 29.15/29.38  (define @t463 () (@list @t453))
% 29.15/29.38  (define @t464 () (forall @t463 @t461))
% 29.15/29.38  (define @t465 () (forall @t463 @t460))
% 29.15/29.38  (define @t466 () (or @t203 @t465))
% 29.15/29.38  (define @t467 () (forall @t16 (or @t241 @t66)))
% 29.15/29.38  (define @t468 () (tptp.app tptp.nil @t409))
% 29.15/29.38  (define @t469 () (tptp.app @t170 @t468))
% 29.15/29.38  (define @t470 () (= (tptp.app @t438 @t409) @t469))
% 29.15/29.38  (define @t471 () (not @t39))
% 29.15/29.38  (define @t472 () (or @t421 @t471 @t412 @t470))
% 29.15/29.38  (define @t473 () (@list false false false false))
% 29.15/29.38  (define @t474 () (@list @t39 @t420 @t411 @t472))
% 29.15/29.38  (define @t475 () (= @t2 @t48))
% 29.15/29.38  (define @t476 () (@list @t409))
% 29.15/29.38  (define @t477 () (= @t409 @t468))
% 29.15/29.38  (define @t478 () (or @t412 @t477))
% 29.15/29.38  (define @t479 () (tptp.app @t409 tptp.nil))
% 29.15/29.38  (define @t480 () (= @t409 @t479))
% 29.15/29.38  (define @t481 () (or @t412 @t480))
% 29.15/29.38  (define @t482 () (@list @t170 @t409 tptp.nil))
% 29.15/29.38  (define @t483 () (tptp.app @t413 tptp.nil))
% 29.15/29.38  (define @t484 () (= @t483 (tptp.app @t170 @t479)))
% 29.15/29.38  (define @t485 () (or @t421 @t412 @t471 @t484))
% 29.15/29.38  (define @t486 () (not (= @t438 @t170)))
% 29.15/29.38  (define @t487 () (not (= @t483 @t413)))
% 29.15/29.38  (define @t488 () (or @t421 @t412 @t471 @t487 @t486))
% 29.15/29.38  (define @t489 () (not @t439))
% 29.15/29.38  (define @t490 () (= @t413 @t483))
% 29.15/29.38  (define @t491 () (not @t490))
% 29.15/29.38  (define @t492 () (or @t421 @t412 @t471 @t491 @t489))
% 29.15/29.38  (define @t493 () (not @t484))
% 29.15/29.38  (define @t494 () (not @t480))
% 29.15/29.38  (define @t495 () (not @t477))
% 29.15/29.38  (define @t496 () (not @t470))
% 29.15/29.38  (define @t497 () (and @t491 @t490))
% 29.15/29.38  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 29.15/29.38  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 29.15/29.38  (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)))))))))))
% 29.15/29.38  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 29.15/29.38  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 29.15/29.38  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 29.15/29.38  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 29.15/29.38  (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)))))))))))))))))
% 29.15/29.38  (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))))))))))))))))
% 29.15/29.38  (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)))))))))))))))))
% 29.15/29.38  (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)))))))))))))))
% 29.15/29.38  (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35)))))))))))))))
% 29.15/29.38  (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 @t37))))))))))))))))
% 29.15/29.38  (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) @t37)))))))))))))
% 29.15/29.38  (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5)))))
% 29.15/29.38  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38))))))
% 29.15/29.38  (assume @p17 @t39)
% 29.15/29.38  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2)))))))
% 29.15/29.38  (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) @t40)))))))))))
% 29.15/29.38  (assume @p20 (forall @t9 (=> @t17 (or @t42 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t41 @t2)))))))))
% 29.15/29.38  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38)))))))
% 29.15/29.38  (assume @p22 (forall @t9 (=> @t17 (=> @t44 (tptp.ssItem @t43)))))
% 29.15/29.38  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1))))))
% 29.15/29.38  (assume @p24 (forall @t9 (=> @t17 (=> @t44 (tptp.ssList @t45)))))
% 29.15/29.38  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2))))))
% 29.15/29.38  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t46))))))
% 29.15/29.38  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t47) (tptp.app @t41 @t2)))))))))
% 29.15/29.38  (assume @p28 @t50)
% 29.15/29.38  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3))))))
% 29.15/29.38  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12)))))))))
% 29.15/29.38  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 29.15/29.38  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51))))))
% 29.15/29.38  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54)))))))
% 29.15/29.38  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56))))))))
% 29.15/29.38  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54))))))
% 29.15/29.38  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58)))))))))
% 29.15/29.38  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58)))))))))
% 29.15/29.38  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 29.15/29.38  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 29.15/29.38  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 29.15/29.38  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 29.15/29.38  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 29.15/29.38  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 29.15/29.38  (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))))))))))))
% 29.15/29.38  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 29.15/29.38  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t42))))
% 29.15/29.38  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 29.15/29.38  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 29.15/29.38  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 29.15/29.38  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t59 @t1)))))))))
% 29.15/29.38  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 29.15/29.38  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t42))))
% 29.15/29.38  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 29.15/29.38  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 29.15/29.38  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 29.15/29.38  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t59 @t10) @t1)))))))))))
% 29.15/29.38  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 29.15/29.38  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t42))))
% 29.15/29.38  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t60))))
% 29.15/29.38  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 29.15/29.38  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t60))))
% 29.15/29.38  (assume @p62 (tptp.totalorderP tptp.nil))
% 29.15/29.38  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t60))))
% 29.15/29.38  (assume @p64 (tptp.strictorderP tptp.nil))
% 29.15/29.38  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t60))))
% 29.15/29.38  (assume @p66 (tptp.totalorderedP tptp.nil))
% 29.15/29.38  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t64) (or @t62 (and @t63 (tptp.totalorderedP @t1) (tptp.leq @t2 @t61)))))))))
% 29.15/29.38  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t60))))
% 29.15/29.38  (assume @p69 (tptp.strictorderedP tptp.nil))
% 29.15/29.38  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t64) (or @t62 (and @t63 (tptp.strictorderedP @t1) (tptp.lt @t2 @t61)))))))))
% 29.15/29.38  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t60))))
% 29.15/29.38  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 29.15/29.38  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t60))))
% 29.15/29.38  (assume @p74 (tptp.equalelemsP tptp.nil))
% 29.15/29.38  (assume @p75 (forall @t9 (=> @t17 (=> @t44 (exists @t7 (and @t6 (= @t43 @t1)))))))
% 29.15/29.38  (assume @p76 (forall @t9 (=> @t17 (=> @t44 (exists @t7 (and @t21 (= @t45 @t1)))))))
% 29.15/29.38  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t63 @t44 (= @t61 @t43) (= (tptp.tl @t1) @t45)) @t40))))))
% 29.15/29.38  (assume @p78 (forall @t9 (=> @t17 (=> @t44 (= (tptp.cons @t43 @t45) @t2)))))
% 29.15/29.38  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t46) @t65))))))))
% 29.15/29.38  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t47) @t65))))))))
% 29.15/29.38  (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2)))))))
% 29.15/29.38  (assume @p82 @t71)
% 29.15/29.38  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t46) (and @t62 @t42)))))))
% 29.15/29.38  (assume @p84 @t74)
% 29.15/29.38  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t44 (= (tptp.hd @t46) @t43)))))))
% 29.15/29.38  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t44 (= (tptp.tl @t46) (tptp.app @t45 @t1))))))))
% 29.15/29.38  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3))))))
% 29.15/29.38  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 29.15/29.38  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 29.15/29.38  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 29.15/29.38  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56))))))))
% 29.15/29.38  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55)))))))
% 29.15/29.38  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52)))))))
% 29.15/29.38  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2))))))))
% 29.15/29.38  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 29.15/29.38  (assume @p96 @t134)
% 29.15/29.38  (assume @p97 true)
% 29.15/29.38  (step @p98 :rule bool-impl-elim :args (@t17 @t135))
% 29.15/29.38  (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t135))))
% 29.15/29.38  (step @p100 :rule eq-symm :args (@t72 @t2))
% 29.15/29.38  (step @p101 :rule refl :args (@t17))
% 29.15/29.38  (step @p102 :rule cong :premises (@p101 @p100) :args (@t73))
% 29.15/29.38  (step @p103 :rule cong :premises (@p102) :args (@t74))
% 29.15/29.38  (step @p104 :rule trans :premises (@p103 @p99))
% 29.15/29.38  (step @p105 :rule eq_resolve :premises (@p84 @p104))
% 29.15/29.38  (step @p106 :rule instantiate :premises (@p105) :args ((@list @t170)))
% 29.15/29.38  (step @p107 :rule aci_norm :args ((= @t172 @t167)))
% 29.15/29.38  (step @p108 :rule cong :premises (@p107) :args (@t173))
% 29.15/29.38  (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t175) @t173)))
% 29.15/29.38  (step @p110 :rule alpha_equiv :args (@t176 (@list @t136) @t178))
% 29.15/29.38  (step @p111 :rule refl :args (@t165))
% 29.15/29.38  (step @p112 :rule refl :args (@t166))
% 29.15/29.38  (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t179))
% 29.15/29.38  (step @p114 :rule quant-miniscope-or :args ((= @t175 @t179)))
% 29.15/29.38  (step @p115 :rule trans :premises (@p114 @p113))
% 29.15/29.38  (step @p116 :rule symm :premises (@p115))
% 29.15/29.38  (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t188)))
% 29.15/29.38  (step @p118 :rule trans :premises (@p117 @p109))
% 29.15/29.38  (step @p119 :rule trans :premises (@p118 @p108))
% 29.15/29.38  (step @p120 :rule aci_norm :args ((= (or @t166 @t188) @t188)))
% 29.15/29.38  (step @p121 :rule bool-impl-elim :args (@t17 @t188))
% 29.15/29.38  (step @p122 :rule trans :premises (@p121 @p120))
% 29.15/29.38  (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t188))))
% 29.15/29.38  (step @p124 :rule trans :premises (@p123 @p119))
% 29.15/29.38  (step @p125 :rule aci_norm :args ((= (or @t185 @t184 @t183 @t181 false @t180) @t186)))
% 29.15/29.38  (step @p126 :rule refl :args (@t180))
% 29.15/29.38  (step @p127 :rule evaluate :args ((not true)))
% 29.15/29.38  (step @p128 :rule eq-refl :args (@t182))
% 29.15/29.38  (step @p129 :rule cong :premises (@p128) :args (@t189))
% 29.15/29.38  (step @p130 :rule trans :premises (@p129 @p127))
% 29.15/29.38  (step @p131 :rule refl :args (@t181))
% 29.15/29.38  (step @p132 :rule refl :args (@t151))
% 29.15/29.38  (step @p133 :rule eq-symm :args (@t182 tptp.nil))
% 29.15/29.38  (step @p134 :rule cong :premises (@p133) :args (@t190))
% 29.15/29.38  (step @p135 :rule nary_cong :premises (@p134 @p132) :args (@t191))
% 29.15/29.38  (step @p136 :rule refl :args (@t156))
% 29.15/29.38  (step @p137 :rule eq-symm :args (@t182 @t158))
% 29.15/29.38  (step @p138 :rule cong :premises (@p137) :args (@t192))
% 29.15/29.38  (step @p139 :rule refl :args (@t159))
% 29.15/29.38  (step @p140 :rule refl :args (@t160))
% 29.15/29.38  (step @p141 :rule refl :args (@t161))
% 29.15/29.38  (step @p142 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p136) :args (@t193))
% 29.15/29.38  (step @p143 :rule cong :premises (@p142) :args (@t194))
% 29.15/29.38  (step @p144 :rule cong :premises (@p143) :args (@t195))
% 29.15/29.38  (step @p145 :rule refl :args (@t185))
% 29.15/29.38  (step @p146 :rule nary_cong :premises (@p145 @p144 @p135 @p131 @p130 @p126) :args (@t196))
% 29.15/29.38  (step @p147 :rule trans :premises (@p146 @p125))
% 29.15/29.38  (step @p148 :rule cong :premises (@p147) :args ((forall @t187 @t196)))
% 29.15/29.38  (step @p149 :rule quant-var-elim-eq :args ((= (forall @t7 @t204) @t196)))
% 29.15/29.38  (step @p150 :rule aci_norm :args ((= @t205 @t204)))
% 29.15/29.38  (step @p151 :rule cong :premises (@p150) :args (@t206))
% 29.15/29.38  (step @p152 :rule trans :premises (@p151 @p149))
% 29.15/29.38  (step @p153 :rule cong :premises (@p152) :args (@t207))
% 29.15/29.38  (step @p154 :rule quant-merge-prenex :args ((= @t207 @t208)))
% 29.15/29.38  (step @p155 :rule symm :premises (@p154))
% 29.15/29.38  (step @p156 :rule quant_var_reordering :args ((= (forall @t209 @t205) @t208)))
% 29.15/29.38  (step @p157 :rule trans :premises (@p156 @p155 @p153))
% 29.15/29.38  (step @p158 :rule trans :premises (@p157 @p148))
% 29.15/29.38  (step @p159 :rule aci_norm :args ((= @t211 @t205)))
% 29.15/29.38  (step @p160 :rule cong :premises (@p159) :args (@t212))
% 29.15/29.38  (step @p161 :rule trans :premises (@p160 @p158))
% 29.15/29.38  (step @p162 :rule quant-merge-prenex :args ((= (forall @t7 @t213) @t212)))
% 29.15/29.38  (step @p163 :rule alpha_equiv :args (@t214 @t178 @t216))
% 29.15/29.38  (step @p164 :rule refl :args (@t199))
% 29.15/29.38  (step @p165 :rule refl :args (@t202))
% 29.15/29.38  (step @p166 :rule refl :args (@t203))
% 29.15/29.38  (step @p167 :rule nary_cong :premises (@p166 @p165 @p164 @p163) :args (@t217))
% 29.15/29.38  (step @p168 :rule quant-miniscope-or :args ((= @t213 @t217)))
% 29.15/29.38  (step @p169 :rule trans :premises (@p168 @p167))
% 29.15/29.38  (step @p170 :rule symm :premises (@p169))
% 29.15/29.38  (step @p171 :rule cong :premises (@p170) :args (@t226))
% 29.15/29.38  (step @p172 :rule trans :premises (@p171 @p162))
% 29.15/29.38  (step @p173 :rule trans :premises (@p172 @p161))
% 29.15/29.38  (step @p174 :rule refl :args (@t165))
% 29.15/29.38  (step @p175 :rule refl :args (@t166))
% 29.15/29.38  (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t227))
% 29.15/29.38  (step @p177 :rule quant-miniscope-or :args ((= (forall @t7 @t228) @t227)))
% 29.15/29.38  (step @p178 :rule aci_norm :args ((= @t229 @t228)))
% 29.15/29.38  (step @p179 :rule cong :premises (@p178) :args ((forall @t7 @t229)))
% 29.15/29.38  (step @p180 :rule trans :premises (@p179 @p177))
% 29.15/29.38  (step @p181 :rule trans :premises (@p180 @p176))
% 29.15/29.38  (step @p182 :rule aci_norm :args ((= (or @t203 @t230) @t229)))
% 29.15/29.38  (step @p183 :rule bool-impl-elim :args (@t21 @t230))
% 29.15/29.38  (step @p184 :rule trans :premises (@p183 @p182))
% 29.15/29.38  (step @p185 :rule cong :premises (@p184) :args ((forall @t7 (=> @t21 @t230))))
% 29.15/29.38  (step @p186 :rule trans :premises (@p185 @p181))
% 29.15/29.38  (step @p187 :rule aci_norm :args ((= (or @t202 @t203 @t231) @t230)))
% 29.15/29.38  (step @p188 :rule quant-miniscope-or :args ((= (forall @t223 @t232) @t231)))
% 29.15/29.38  (step @p189 :rule aci_norm :args ((= @t233 @t232)))
% 29.15/29.38  (step @p190 :rule cong :premises (@p189) :args ((forall @t223 @t233)))
% 29.15/29.38  (step @p191 :rule trans :premises (@p190 @p188))
% 29.15/29.38  (step @p192 :rule aci_norm :args ((= (or @t166 false @t165 @t199 @t221 @t220 @t219) @t233)))
% 29.15/29.38  (step @p193 :rule refl :args (@t219))
% 29.15/29.38  (step @p194 :rule refl :args (@t220))
% 29.15/29.38  (step @p195 :rule refl :args (@t221))
% 29.15/29.38  (step @p196 :rule refl :args (@t199))
% 29.15/29.38  (step @p197 :rule eq-refl :args (@t2))
% 29.15/29.38  (step @p198 :rule cong :premises (@p197) :args (@t234))
% 29.15/29.38  (step @p199 :rule trans :premises (@p198 @p127))
% 29.15/29.38  (step @p200 :rule nary_cong :premises (@p175 @p199 @p174 @p196 @p195 @p194 @p193) :args (@t235))
% 29.15/29.38  (step @p201 :rule trans :premises (@p200 @p192))
% 29.15/29.38  (step @p202 :rule cong :premises (@p201) :args ((forall @t223 @t235)))
% 29.15/29.38  (step @p203 :rule trans :premises (@p202 @p191))
% 29.15/29.38  (step @p204 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t65) @t241 @t123 @t103 @t240 @t221 @t238 @t237)) @t235)))
% 29.15/29.38  (step @p205 :rule refl :args (@t237))
% 29.15/29.38  (step @p206 :rule refl :args (@t238))
% 29.15/29.38  (step @p207 :rule refl :args (@t221))
% 29.15/29.38  (step @p208 :rule refl :args (@t240))
% 29.15/29.38  (step @p209 :rule refl :args (@t103))
% 29.15/29.38  (step @p210 :rule refl :args (@t123))
% 29.15/29.38  (step @p211 :rule refl :args (@t241))
% 29.15/29.38  (step @p212 :rule eq-symm :args (@t2 @t12))
% 29.15/29.38  (step @p213 :rule cong :premises (@p212) :args (@t123))
% 29.15/29.38  (step @p214 :rule nary_cong :premises (@p213 @p211 @p210 @p209 @p208 @p207 @p206 @p205) :args (@t242))
% 29.15/29.38  (step @p215 :rule aci_norm :args ((= @t243 @t242)))
% 29.15/29.38  (step @p216 :rule trans :premises (@p215 @p214))
% 29.15/29.38  (step @p217 :rule cong :premises (@p216) :args (@t244))
% 29.15/29.38  (step @p218 :rule trans :premises (@p217 @p204))
% 29.15/29.38  (step @p219 :rule cong :premises (@p218) :args (@t245))
% 29.15/29.38  (step @p220 :rule quant-merge-prenex :args ((= @t245 @t246)))
% 29.15/29.38  (step @p221 :rule symm :premises (@p220))
% 29.15/29.38  (step @p222 :rule quant_var_reordering :args ((= (forall @t247 @t243) @t246)))
% 29.15/29.38  (step @p223 :rule trans :premises (@p222 @p221 @p219))
% 29.15/29.38  (step @p224 :rule trans :premises (@p223 @p203))
% 29.15/29.38  (step @p225 :rule aci_norm :args ((= @t249 @t243)))
% 29.15/29.38  (step @p226 :rule cong :premises (@p225) :args (@t250))
% 29.15/29.38  (step @p227 :rule trans :premises (@p226 @p224))
% 29.15/29.38  (step @p228 :rule quant-merge-prenex :args ((= (forall @t16 @t251) @t250)))
% 29.15/29.38  (step @p229 :rule alpha_equiv :args (@t252 @t216 @t254))
% 29.15/29.38  (step @p230 :rule nary_cong :premises (@p211 @p210 @p209 @p208 @p229) :args (@t255))
% 29.15/29.38  (step @p231 :rule quant-miniscope-or :args ((= @t251 @t255)))
% 29.15/29.38  (step @p232 :rule trans :premises (@p231 @p230))
% 29.15/29.38  (step @p233 :rule symm :premises (@p232))
% 29.15/29.38  (step @p234 :rule cong :premises (@p233) :args (@t264))
% 29.15/29.38  (step @p235 :rule trans :premises (@p234 @p228))
% 29.15/29.38  (step @p236 :rule trans :premises (@p235 @p227))
% 29.15/29.38  (step @p237 :rule refl :args (@t203))
% 29.15/29.38  (step @p238 :rule refl :args (@t202))
% 29.15/29.38  (step @p239 :rule nary_cong :premises (@p238 @p237 @p236) :args (@t265))
% 29.15/29.38  (step @p240 :rule trans :premises (@p239 @p187))
% 29.15/29.38  (step @p241 :rule quant-miniscope-or :args ((= (forall @t16 @t266) @t265)))
% 29.15/29.38  (step @p242 :rule aci_norm :args ((= @t267 @t266)))
% 29.15/29.38  (step @p243 :rule cong :premises (@p242) :args ((forall @t16 @t267)))
% 29.15/29.38  (step @p244 :rule trans :premises (@p243 @p241))
% 29.15/29.38  (step @p245 :rule trans :premises (@p244 @p240))
% 29.15/29.38  (step @p246 :rule aci_norm :args ((= (or @t241 @t268) @t267)))
% 29.15/29.38  (step @p247 :rule bool-impl-elim :args (@t15 @t268))
% 29.15/29.38  (step @p248 :rule trans :premises (@p247 @p246))
% 29.15/29.38  (step @p249 :rule cong :premises (@p248) :args ((forall @t16 (=> @t15 @t268))))
% 29.15/29.38  (step @p250 :rule trans :premises (@p249 @p245))
% 29.15/29.38  (step @p251 :rule aci_norm :args ((= (or @t123 @t202 @t103 @t269) @t268)))
% 29.15/29.38  (step @p252 :rule quant-miniscope-or :args ((= (forall @t261 @t270) @t269)))
% 29.15/29.38  (step @p253 :rule aci_norm :args ((= @t271 @t270)))
% 29.15/29.38  (step @p254 :rule cong :premises (@p253) :args ((forall @t261 @t271)))
% 29.15/29.38  (step @p255 :rule trans :premises (@p254 @p252))
% 29.15/29.38  (step @p256 :rule aci_norm :args ((= (or @t203 false @t240 @t259 @t258 @t256) @t271)))
% 29.15/29.38  (step @p257 :rule refl :args (@t256))
% 29.15/29.38  (step @p258 :rule refl :args (@t258))
% 29.15/29.38  (step @p259 :rule refl :args (@t259))
% 29.15/29.38  (step @p260 :rule refl :args (@t240))
% 29.15/29.38  (step @p261 :rule eq-refl :args (@t1))
% 29.15/29.38  (step @p262 :rule cong :premises (@p261) :args (@t272))
% 29.15/29.38  (step @p263 :rule trans :premises (@p262 @p127))
% 29.15/29.38  (step @p264 :rule nary_cong :premises (@p237 @p263 @p260 @p259 @p258 @p257) :args (@t273))
% 29.15/29.38  (step @p265 :rule trans :premises (@p264 @p256))
% 29.15/29.38  (step @p266 :rule cong :premises (@p265) :args ((forall @t261 @t273)))
% 29.15/29.38  (step @p267 :rule trans :premises (@p266 @p255))
% 29.15/29.38  (step @p268 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t276 @t124 @t275 @t259 @t274 @t256)) @t273)))
% 29.15/29.38  (step @p269 :rule refl :args (@t256))
% 29.15/29.38  (step @p270 :rule refl :args (@t274))
% 29.15/29.38  (step @p271 :rule refl :args (@t259))
% 29.15/29.38  (step @p272 :rule refl :args (@t275))
% 29.15/29.38  (step @p273 :rule refl :args (@t124))
% 29.15/29.38  (step @p274 :rule refl :args (@t276))
% 29.15/29.38  (step @p275 :rule eq-symm :args (@t1 @t10))
% 29.15/29.38  (step @p276 :rule cong :premises (@p275) :args (@t124))
% 29.15/29.38  (step @p277 :rule nary_cong :premises (@p276 @p274 @p273 @p272 @p271 @p270 @p269) :args (@t277))
% 29.15/29.38  (step @p278 :rule aci_norm :args ((= @t278 @t277)))
% 29.15/29.38  (step @p279 :rule trans :premises (@p278 @p277))
% 29.15/29.38  (step @p280 :rule cong :premises (@p279) :args (@t279))
% 29.15/29.38  (step @p281 :rule trans :premises (@p280 @p268))
% 29.15/29.38  (step @p282 :rule cong :premises (@p281) :args (@t280))
% 29.15/29.38  (step @p283 :rule quant-merge-prenex :args ((= @t280 @t281)))
% 29.15/29.38  (step @p284 :rule symm :premises (@p283))
% 29.15/29.38  (step @p285 :rule quant_var_reordering :args ((= (forall @t282 @t278) @t281)))
% 29.15/29.38  (step @p286 :rule trans :premises (@p285 @p284 @p282))
% 29.15/29.38  (step @p287 :rule trans :premises (@p286 @p267))
% 29.15/29.38  (step @p288 :rule eq-symm :args (@t253 @t138))
% 29.15/29.38  (step @p289 :rule cong :premises (@p288) :args (@t283))
% 29.15/29.38  (step @p290 :rule refl :args (@t139))
% 29.15/29.38  (step @p291 :rule refl :args (@t236))
% 29.15/29.38  (step @p292 :rule refl :args (@t144))
% 29.15/29.38  (step @p293 :rule refl :args (@t145))
% 29.15/29.38  (step @p294 :rule refl :args (@t146))
% 29.15/29.38  (step @p295 :rule refl :args (@t147))
% 29.15/29.38  (step @p296 :rule nary_cong :premises (@p295 @p294 @p293 @p292 @p291 @p290 @p289) :args (@t284))
% 29.15/29.38  (step @p297 :rule cong :premises (@p296) :args (@t285))
% 29.15/29.38  (step @p298 :rule cong :premises (@p297) :args (@t286))
% 29.15/29.38  (step @p299 :rule refl :args (@t274))
% 29.15/29.38  (step @p300 :rule refl :args (@t275))
% 29.15/29.38  (step @p301 :rule refl :args (@t124))
% 29.15/29.38  (step @p302 :rule refl :args (@t276))
% 29.15/29.38  (step @p303 :rule nary_cong :premises (@p302 @p301 @p300 @p259 @p299 @p298) :args (@t287))
% 29.15/29.38  (step @p304 :rule aci_norm :args ((= @t289 @t287)))
% 29.15/29.38  (step @p305 :rule trans :premises (@p304 @p303))
% 29.15/29.38  (step @p306 :rule cong :premises (@p305) :args (@t290))
% 29.15/29.38  (step @p307 :rule trans :premises (@p306 @p287))
% 29.15/29.38  (step @p308 :rule quant-merge-prenex :args ((= (forall @t14 @t291) @t290)))
% 29.15/29.38  (step @p309 :rule alpha_equiv :args (@t292 @t254 (@list @t91)))
% 29.15/29.38  (step @p310 :rule nary_cong :premises (@p274 @p273 @p272 @p309) :args (@t293))
% 29.15/29.38  (step @p311 :rule quant-miniscope-or :args ((= @t291 @t293)))
% 29.15/29.38  (step @p312 :rule trans :premises (@p311 @p310))
% 29.15/29.38  (step @p313 :rule symm :premises (@p312))
% 29.15/29.38  (step @p314 :rule cong :premises (@p313) :args (@t302))
% 29.15/29.38  (step @p315 :rule trans :premises (@p314 @p308))
% 29.15/29.38  (step @p316 :rule trans :premises (@p315 @p307))
% 29.15/29.38  (step @p317 :rule refl :args (@t103))
% 29.15/29.38  (step @p318 :rule refl :args (@t123))
% 29.15/29.38  (step @p319 :rule nary_cong :premises (@p318 @p238 @p317 @p316) :args (@t303))
% 29.15/29.38  (step @p320 :rule trans :premises (@p319 @p251))
% 29.15/29.38  (step @p321 :rule quant-miniscope-or :args ((= (forall @t14 @t304) @t303)))
% 29.15/29.38  (step @p322 :rule aci_norm :args ((= @t305 @t304)))
% 29.15/29.38  (step @p323 :rule cong :premises (@p322) :args ((forall @t14 @t305)))
% 29.15/29.38  (step @p324 :rule trans :premises (@p323 @p321))
% 29.15/29.38  (step @p325 :rule trans :premises (@p324 @p320))
% 29.15/29.38  (step @p326 :rule aci_norm :args ((= (or @t276 @t306) @t305)))
% 29.15/29.38  (step @p327 :rule bool-impl-elim :args (@t13 @t306))
% 29.15/29.38  (step @p328 :rule trans :premises (@p327 @p326))
% 29.15/29.38  (step @p329 :rule cong :premises (@p328) :args ((forall @t14 (=> @t13 @t306))))
% 29.15/29.38  (step @p330 :rule trans :premises (@p329 @p325))
% 29.15/29.38  (step @p331 :rule aci_norm :args ((= (or @t124 @t123 @t202 @t307 @t275) @t306)))
% 29.15/29.38  (step @p332 :rule eq-symm :args (tptp.nil @t12))
% 29.15/29.38  (step @p333 :rule eq-symm :args (tptp.nil @t10))
% 29.15/29.38  (step @p334 :rule cong :premises (@p333) :args (@t75))
% 29.15/29.38  (step @p335 :rule nary_cong :premises (@p334 @p332) :args (@t76))
% 29.15/29.38  (step @p336 :rule quant-miniscope-or :args ((= (forall @t109 @t308) @t307)))
% 29.15/29.38  (step @p337 :rule aci_norm :args ((= @t309 @t308)))
% 29.15/29.38  (step @p338 :rule cong :premises (@p337) :args ((forall @t109 @t309)))
% 29.15/29.38  (step @p339 :rule trans :premises (@p338 @p336))
% 29.15/29.38  (step @p340 :rule aci_norm :args ((= (or @t298 @t310) @t309)))
% 29.15/29.38  (step @p341 :rule bool-impl-elim :args (@t107 @t310))
% 29.15/29.38  (step @p342 :rule trans :premises (@p341 @p340))
% 29.15/29.38  (step @p343 :rule cong :premises (@p342) :args ((forall @t109 (=> @t107 @t310))))
% 29.15/29.38  (step @p344 :rule trans :premises (@p343 @p339))
% 29.15/29.38  (step @p345 :rule aci_norm :args ((= @t313 @t295)))
% 29.15/29.38  (step @p346 :rule cong :premises (@p345) :args (@t314))
% 29.15/29.38  (step @p347 :rule quant-merge-prenex :args ((= (forall @t101 @t315) @t314)))
% 29.15/29.38  (step @p348 :rule alpha_equiv :args (@t316 (@list @t137) (@list @t92)))
% 29.15/29.38  (step @p349 :rule alpha_equiv :args (@t317 (@list @t140 @t141) (@list @t78 @t318)))
% 29.15/29.38  (step @p350 :rule refl :args (@t147))
% 29.15/29.38  (step @p351 :rule nary_cong :premises (@p350 @p349 @p348) :args (@t319))
% 29.15/29.38  (step @p352 :rule quant-miniscope-or :args ((= @t315 @t319)))
% 29.15/29.38  (step @p353 :rule trans :premises (@p352 @p351))
% 29.15/29.38  (step @p354 :rule symm :premises (@p353))
% 29.15/29.38  (step @p355 :rule cong :premises (@p354) :args ((forall @t101 @t332)))
% 29.15/29.38  (step @p356 :rule trans :premises (@p355 @p347))
% 29.15/29.38  (step @p357 :rule trans :premises (@p356 @p346))
% 29.15/29.38  (step @p358 :rule aci_norm :args ((= (or @t147 @t333) @t332)))
% 29.15/29.38  (step @p359 :rule bool-double-not-elim :args (@t333))
% 29.15/29.38  (step @p360 :rule nary_cong :premises (@p350 @p359) :args ((or @t147 (not @t334))))
% 29.15/29.38  (step @p361 :rule bool-and-de-morgan :args (@t99 @t334 true))
% 29.15/29.38  (step @p362 :rule trans :premises (@p361 @p360))
% 29.15/29.38  (step @p363 :rule trans :premises (@p362 @p358))
% 29.15/29.38  (step @p364 :rule cong :premises (@p363) :args (@t336))
% 29.15/29.38  (step @p365 :rule trans :premises (@p364 @p357))
% 29.15/29.38  (step @p366 :rule cong :premises (@p365) :args (@t337))
% 29.15/29.38  (step @p367 :rule exists-elim :args ((= (exists @t101 @t335) @t337)))
% 29.15/29.38  (step @p368 :rule trans :premises (@p367 @p366))
% 29.15/29.38  (step @p369 :rule quant-miniscope-or :args ((= (forall @t97 @t338) @t333)))
% 29.15/29.38  (step @p370 :rule aci_norm :args ((= @t339 @t338)))
% 29.15/29.38  (step @p371 :rule cong :premises (@p370) :args ((forall @t97 @t339)))
% 29.15/29.38  (step @p372 :rule trans :premises (@p371 @p369))
% 29.15/29.38  (step @p373 :rule bool-double-not-elim :args (@t331))
% 29.15/29.38  (step @p374 :rule refl :args (@t321))
% 29.15/29.38  (step @p375 :rule refl :args (@t322))
% 29.15/29.38  (step @p376 :rule nary_cong :premises (@p375 @p374 @p373) :args (@t342))
% 29.15/29.38  (step @p377 :rule aci_norm :args ((= (or @t322 (or @t321 @t341)) @t342)))
% 29.15/29.38  (step @p378 :rule trans :premises (@p377 @p376))
% 29.15/29.38  (step @p379 :rule bool-and-de-morgan :args (@t320 @t340 true))
% 29.15/29.38  (step @p380 :rule nary_cong :premises (@p375 @p379) :args ((or @t322 (not (and @t320 @t340)))))
% 29.15/29.38  (step @p381 :rule bool-and-de-morgan :args (@t95 @t320 (and @t340)))
% 29.15/29.38  (step @p382 :rule trans :premises (@p381 @p380))
% 29.15/29.38  (step @p383 :rule trans :premises (@p382 @p378))
% 29.15/29.38  (step @p384 :rule cong :premises (@p383) :args (@t344))
% 29.15/29.38  (step @p385 :rule trans :premises (@p384 @p372))
% 29.15/29.38  (step @p386 :rule cong :premises (@p385) :args (@t345))
% 29.15/29.38  (step @p387 :rule exists-elim :args ((= (exists @t97 @t343) @t345)))
% 29.15/29.38  (step @p388 :rule trans :premises (@p387 @p386))
% 29.15/29.38  (step @p389 :rule aci_norm :args ((= @t347 @t329)))
% 29.15/29.38  (step @p390 :rule cong :premises (@p389) :args (@t348))
% 29.15/29.38  (step @p391 :rule quant-merge-prenex :args ((= (forall @t89 @t350) @t348)))
% 29.15/29.38  (step @p392 :rule alpha_equiv :args (@t351 (@list @t318) (@list @t81)))
% 29.15/29.38  (step @p393 :rule refl :args (@t327))
% 29.15/29.38  (step @p394 :rule refl :args (@t328))
% 29.15/29.38  (step @p395 :rule nary_cong :premises (@p394 @p393 @p392) :args (@t352))
% 29.15/29.38  (step @p396 :rule quant-miniscope-or :args ((= @t350 @t352)))
% 29.15/29.38  (step @p397 :rule trans :premises (@p396 @p395))
% 29.15/29.38  (step @p398 :rule symm :premises (@p397))
% 29.15/29.38  (step @p399 :rule cong :premises (@p398) :args ((forall @t89 @t358)))
% 29.15/29.38  (step @p400 :rule trans :premises (@p399 @p391))
% 29.15/29.38  (step @p401 :rule trans :premises (@p400 @p390))
% 29.15/29.38  (step @p402 :rule aci_norm :args ((= (or @t328 @t359) @t358)))
% 29.15/29.38  (step @p403 :rule bool-double-not-elim :args (@t359))
% 29.15/29.38  (step @p404 :rule nary_cong :premises (@p394 @p403) :args ((or @t328 (not @t360))))
% 29.15/29.38  (step @p405 :rule bool-and-de-morgan :args (@t87 @t360 true))
% 29.15/29.38  (step @p406 :rule trans :premises (@p405 @p404))
% 29.15/29.38  (step @p407 :rule trans :premises (@p406 @p402))
% 29.15/29.38  (step @p408 :rule cong :premises (@p407) :args (@t362))
% 29.15/29.38  (step @p409 :rule trans :premises (@p408 @p401))
% 29.15/29.38  (step @p410 :rule cong :premises (@p409) :args (@t363))
% 29.15/29.38  (step @p411 :rule exists-elim :args ((= (exists @t89 @t361) @t363)))
% 29.15/29.38  (step @p412 :rule trans :premises (@p411 @p410))
% 29.15/29.38  (step @p413 :rule quant-miniscope-or :args ((= (forall @t85 @t364) @t359)))
% 29.15/29.38  (step @p414 :rule aci_norm :args ((= @t365 @t364)))
% 29.15/29.38  (step @p415 :rule cong :premises (@p414) :args ((forall @t85 @t365)))
% 29.15/29.38  (step @p416 :rule trans :premises (@p415 @p413))
% 29.15/29.38  (step @p417 :rule aci_norm :args ((= (or @t355 (or @t354 @t327)) @t365)))
% 29.15/29.38  (step @p418 :rule bool-and-de-morgan :args (@t353 @t79 true))
% 29.15/29.38  (step @p419 :rule refl :args (@t355))
% 29.15/29.38  (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or @t355 (not (and @t353 @t79)))))
% 29.15/29.38  (step @p421 :rule bool-and-de-morgan :args (@t83 @t353 (and @t79)))
% 29.15/29.38  (step @p422 :rule trans :premises (@p421 @p420))
% 29.15/29.38  (step @p423 :rule trans :premises (@p422 @p417))
% 29.15/29.38  (step @p424 :rule cong :premises (@p423) :args (@t367))
% 29.15/29.38  (step @p425 :rule trans :premises (@p424 @p416))
% 29.15/29.38  (step @p426 :rule cong :premises (@p425) :args (@t368))
% 29.15/29.38  (step @p427 :rule exists-elim :args ((= (exists @t85 @t366) @t368)))
% 29.15/29.38  (step @p428 :rule trans :premises (@p427 @p426))
% 29.15/29.38  (step @p429 :rule refl :args (@t79))
% 29.15/29.38  (step @p430 :rule eq-symm :args (@t82 @t12))
% 29.15/29.38  (step @p431 :rule refl :args (@t83))
% 29.15/29.38  (step @p432 :rule nary_cong :premises (@p431 @p430 @p429) :args (@t84))
% 29.15/29.38  (step @p433 :rule cong :premises (@p432) :args (@t86))
% 29.15/29.38  (step @p434 :rule trans :premises (@p433 @p428))
% 29.15/29.38  (step @p435 :rule refl :args (@t87))
% 29.15/29.38  (step @p436 :rule nary_cong :premises (@p435 @p434) :args (@t88))
% 29.15/29.38  (step @p437 :rule cong :premises (@p436) :args (@t90))
% 29.15/29.38  (step @p438 :rule trans :premises (@p437 @p412))
% 29.15/29.38  (step @p439 :rule eq-symm :args (@t94 @t91))
% 29.15/29.38  (step @p440 :rule refl :args (@t95))
% 29.15/29.38  (step @p441 :rule nary_cong :premises (@p440 @p439 @p438) :args (@t96))
% 29.15/29.38  (step @p442 :rule cong :premises (@p441) :args (@t98))
% 29.15/29.38  (step @p443 :rule trans :premises (@p442 @p388))
% 29.15/29.38  (step @p444 :rule refl :args (@t99))
% 29.15/29.38  (step @p445 :rule nary_cong :premises (@p444 @p443) :args (@t100))
% 29.15/29.38  (step @p446 :rule cong :premises (@p445) :args (@t102))
% 29.15/29.38  (step @p447 :rule trans :premises (@p446 @p368))
% 29.15/29.38  (step @p448 :rule eq-symm :args (@t104 @t10))
% 29.15/29.38  (step @p449 :rule cong :premises (@p448) :args (@t105))
% 29.15/29.38  (step @p450 :rule nary_cong :premises (@p449 @p317 @p447) :args (@t106))
% 29.15/29.38  (step @p451 :rule refl :args (@t107))
% 29.15/29.38  (step @p452 :rule cong :premises (@p451 @p450) :args (@t108))
% 29.15/29.38  (step @p453 :rule cong :premises (@p452) :args (@t110))
% 29.15/29.38  (step @p454 :rule trans :premises (@p453 @p344))
% 29.15/29.38  (step @p455 :rule aci_norm :args ((= @t370 @t201)))
% 29.15/29.38  (step @p456 :rule cong :premises (@p455) :args (@t371))
% 29.15/29.38  (step @p457 :rule quant-merge-prenex :args ((= (forall @t33 @t373) @t371)))
% 29.15/29.38  (step @p458 :rule alpha_equiv :args (@t374 (@list @t157 @t154) (@list @t27 @t375)))
% 29.15/29.38  (step @p459 :rule refl :args (@t161))
% 29.15/29.38  (step @p460 :rule nary_cong :premises (@p459 @p458) :args (@t376))
% 29.15/29.38  (step @p461 :rule quant-miniscope-or :args ((= @t373 @t376)))
% 29.15/29.38  (step @p462 :rule trans :premises (@p461 @p460))
% 29.15/29.38  (step @p463 :rule symm :premises (@p462))
% 29.15/29.38  (step @p464 :rule cong :premises (@p463) :args ((forall @t33 (or @t161 @t383))))
% 29.15/29.38  (step @p465 :rule trans :premises (@p464 @p457))
% 29.15/29.38  (step @p466 :rule trans :premises (@p465 @p456))
% 29.15/29.38  (step @p467 :rule bool-double-not-elim :args (@t383))
% 29.15/29.38  (step @p468 :rule nary_cong :premises (@p459 @p467) :args ((or @t161 (not @t384))))
% 29.15/29.38  (step @p469 :rule bool-and-de-morgan :args (@t32 @t384 true))
% 29.15/29.38  (step @p470 :rule trans :premises (@p469 @p468))
% 29.15/29.38  (step @p471 :rule cong :premises (@p470) :args (@t386))
% 29.15/29.38  (step @p472 :rule trans :premises (@p471 @p466))
% 29.15/29.38  (step @p473 :rule cong :premises (@p472) :args (@t387))
% 29.15/29.38  (step @p474 :rule exists-elim :args ((= (exists @t33 @t385) @t387)))
% 29.15/29.38  (step @p475 :rule trans :premises (@p474 @p473))
% 29.15/29.38  (step @p476 :rule aci_norm :args ((= @t389 @t381)))
% 29.15/29.38  (step @p477 :rule cong :premises (@p476) :args (@t390))
% 29.15/29.38  (step @p478 :rule quant-merge-prenex :args ((= (forall @t31 @t392) @t390)))
% 29.15/29.38  (step @p479 :rule alpha_equiv :args (@t393 (@list @t375) (@list @t111)))
% 29.15/29.38  (step @p480 :rule refl :args (@t380))
% 29.15/29.38  (step @p481 :rule nary_cong :premises (@p480 @p479) :args (@t394))
% 29.15/29.38  (step @p482 :rule quant-miniscope-or :args ((= @t392 @t394)))
% 29.15/29.38  (step @p483 :rule trans :premises (@p482 @p481))
% 29.15/29.38  (step @p484 :rule symm :premises (@p483))
% 29.15/29.38  (step @p485 :rule cong :premises (@p484) :args ((forall @t31 (or @t380 @t401))))
% 29.15/29.38  (step @p486 :rule trans :premises (@p485 @p478))
% 29.15/29.38  (step @p487 :rule trans :premises (@p486 @p477))
% 29.15/29.38  (step @p488 :rule bool-double-not-elim :args (@t401))
% 29.15/29.38  (step @p489 :rule nary_cong :premises (@p480 @p488) :args ((or @t380 (not @t402))))
% 29.15/29.38  (step @p490 :rule bool-and-de-morgan :args (@t30 @t402 true))
% 29.15/29.38  (step @p491 :rule trans :premises (@p490 @p489))
% 29.15/29.38  (step @p492 :rule cong :premises (@p491) :args (@t404))
% 29.15/29.38  (step @p493 :rule trans :premises (@p492 @p487))
% 29.15/29.38  (step @p494 :rule cong :premises (@p493) :args (@t405))
% 29.15/29.38  (step @p495 :rule exists-elim :args ((= (exists @t31 @t403) @t405)))
% 29.15/29.38  (step @p496 :rule trans :premises (@p495 @p494))
% 29.15/29.38  (step @p497 :rule aci_norm :args ((= (or @t399 (or @t398 @t396)) @t400)))
% 29.15/29.38  (step @p498 :rule bool-and-de-morgan :args (@t397 @t395 true))
% 29.15/29.38  (step @p499 :rule refl :args (@t399))
% 29.15/29.38  (step @p500 :rule nary_cong :premises (@p499 @p498) :args ((or @t399 (not (and @t397 @t395)))))
% 29.15/29.38  (step @p501 :rule bool-and-de-morgan :args (@t115 @t397 (and @t395)))
% 29.15/29.38  (step @p502 :rule trans :premises (@p501 @p500))
% 29.15/29.38  (step @p503 :rule trans :premises (@p502 @p497))
% 29.15/29.38  (step @p504 :rule cong :premises (@p503) :args (@t407))
% 29.15/29.38  (step @p505 :rule cong :premises (@p504) :args (@t408))
% 29.15/29.38  (step @p506 :rule exists-elim :args ((= (exists @t117 @t406) @t408)))
% 29.15/29.38  (step @p507 :rule trans :premises (@p506 @p505))
% 29.15/29.38  (step @p508 :rule eq-symm :args (@t112 @t2))
% 29.15/29.38  (step @p509 :rule eq-symm :args (@t114 @t1))
% 29.15/29.38  (step @p510 :rule refl :args (@t115))
% 29.15/29.38  (step @p511 :rule nary_cong :premises (@p510 @p509 @p508) :args (@t116))
% 29.15/29.38  (step @p512 :rule cong :premises (@p511) :args (@t118))
% 29.15/29.38  (step @p513 :rule trans :premises (@p512 @p507))
% 29.15/29.38  (step @p514 :rule refl :args (@t30))
% 29.15/29.38  (step @p515 :rule nary_cong :premises (@p514 @p513) :args (@t119))
% 29.15/29.38  (step @p516 :rule cong :premises (@p515) :args (@t120))
% 29.15/29.38  (step @p517 :rule trans :premises (@p516 @p496))
% 29.15/29.38  (step @p518 :rule refl :args (@t32))
% 29.15/29.38  (step @p519 :rule nary_cong :premises (@p518 @p517) :args (@t121))
% 29.15/29.38  (step @p520 :rule cong :premises (@p519) :args (@t122))
% 29.15/29.38  (step @p521 :rule trans :premises (@p520 @p475))
% 29.15/29.38  (step @p522 :rule nary_cong :premises (@p301 @p318 @p521 @p454 @p335) :args (@t125))
% 29.15/29.38  (step @p523 :rule trans :premises (@p522 @p331))
% 29.15/29.38  (step @p524 :rule refl :args (@t13))
% 29.15/29.38  (step @p525 :rule cong :premises (@p524 @p523) :args (@t126))
% 29.15/29.38  (step @p526 :rule cong :premises (@p525) :args (@t127))
% 29.15/29.38  (step @p527 :rule trans :premises (@p526 @p330))
% 29.15/29.38  (step @p528 :rule refl :args (@t15))
% 29.15/29.38  (step @p529 :rule cong :premises (@p528 @p527) :args (@t128))
% 29.15/29.38  (step @p530 :rule cong :premises (@p529) :args (@t129))
% 29.15/29.38  (step @p531 :rule trans :premises (@p530 @p250))
% 29.15/29.38  (step @p532 :rule refl :args (@t21))
% 29.15/29.38  (step @p533 :rule cong :premises (@p532 @p531) :args (@t130))
% 29.15/29.38  (step @p534 :rule cong :premises (@p533) :args (@t131))
% 29.15/29.38  (step @p535 :rule trans :premises (@p534 @p186))
% 29.15/29.38  (step @p536 :rule cong :premises (@p101 @p535) :args (@t132))
% 29.15/29.38  (step @p537 :rule cong :premises (@p536) :args (@t133))
% 29.15/29.38  (step @p538 :rule trans :premises (@p537 @p124))
% 29.15/29.38  (step @p539 :rule cong :premises (@p538) :args (@t134))
% 29.15/29.38  (step @p540 :rule eq_resolve :premises (@p96 @p539))
% 29.15/29.38  (step @p541 :rule refl :args (@t423))
% 29.15/29.38  (step @p542 :rule bool-double-not-elim :args (@t169))
% 29.15/29.38  (step @p543 :rule nary_cong :premises (@p542 @p541) :args ((or (not @t424) @t423)))
% 29.15/29.38  (step @p544 :rule refl :args (@t410))
% 29.15/29.38  (step @p545 :rule eq-symm :args (@t170 @t142))
% 29.15/29.38  (step @p546 :rule cong :premises (@p545) :args (@t425))
% 29.15/29.38  (step @p547 :rule nary_cong :premises (@p295 @p294 @p293 @p292 @p546 @p290 @p544) :args (@t426))
% 29.15/29.38  (step @p548 :rule cong :premises (@p547) :args (@t427))
% 29.15/29.38  (step @p549 :rule cong :premises (@p548) :args (@t428))
% 29.15/29.38  (step @p550 :rule refl :args (@t412))
% 29.15/29.38  (step @p551 :rule eq-symm :args (@t170 tptp.nil))
% 29.15/29.38  (step @p552 :rule refl :args (@t414))
% 29.15/29.38  (step @p553 :rule nary_cong :premises (@p552 @p551) :args (@t429))
% 29.15/29.38  (step @p554 :rule eq-symm :args (@t170 @t155))
% 29.15/29.38  (step @p555 :rule cong :premises (@p554) :args (@t430))
% 29.15/29.38  (step @p556 :rule refl :args (@t415))
% 29.15/29.38  (step @p557 :rule nary_cong :premises (@p141 @p140 @p139 @p556 @p555) :args (@t431))
% 29.15/29.38  (step @p558 :rule cong :premises (@p557) :args (@t432))
% 29.15/29.38  (step @p559 :rule cong :premises (@p558) :args (@t433))
% 29.15/29.38  (step @p560 :rule refl :args (@t418))
% 29.15/29.38  (step @p561 :rule refl :args (@t419))
% 29.15/29.38  (step @p562 :rule refl :args (@t421))
% 29.15/29.38  (step @p563 :rule nary_cong :premises (@p562 @p561 @p560 @p559 @p553 @p550 @p549) :args (@t434))
% 29.15/29.38  (step @p564 :rule cong :premises (@p563) :args (@t435))
% 29.15/29.38  (step @p565 :rule refl :args (@t424))
% 29.15/29.38  (step @p566 :rule cong :premises (@p565 @p564) :args ((=> @t424 @t435)))
% 29.15/29.38  (assume-push @p722 @t424)
% 29.15/29.38  (step @p568 :rule skolemize :premises (@p540))
% 29.15/29.38  (step-pop @p723 :rule scope :premises (@p568))
% 29.15/29.38  (step @p569 :rule process_scope :premises (@p723) :args (@t435))
% 29.15/29.38  (step @p571 :rule eq_resolve :premises (@p569 @p566))
% 29.15/29.38  (step @p572 :rule implies_elim :premises (@p571))
% 29.15/29.38  (step @p573 :rule eq_resolve :premises (@p572 @p543))
% 29.15/29.38  (step @p574 :rule chain_m_resolution :premises (@p573 @p540) :args (@t423 @t436 (@list @t169)))
% 29.15/29.38  (step @p575 :rule bool-double-not-elim :args (@t420))
% 29.15/29.38  (step @p576 :rule refl :args (@t422))
% 29.15/29.38  (step @p577 :rule nary_cong :premises (@p576 @p575) :args ((or @t422 (not @t421))))
% 29.15/29.38  (step @p578 :rule cnf_or_neg :args (@t422 0))
% 29.15/29.38  (step @p579 :rule eq_resolve :premises (@p578 @p577))
% 29.15/29.38  (step @p580 :rule reordering :premises (@p579) :args ((or @t420 @t422)))
% 29.15/29.38  (step @p581 :rule chain_m_resolution :premises (@p580 @p574) :args (@t420 @t436 @t437))
% 29.15/29.38  (step @p582 :rule cnf_or_pos :args (@t440))
% 29.15/29.38  (step @p583 :rule reordering :premises (@p582) :args ((or @t421 @t439 (not @t440))))
% 29.15/29.38  (step @p584 :rule chain_m_resolution :premises (@p583 @p581 @p106) :args (@t439 @t441 (@list @t420 @t440)))
% 29.15/29.38  (step @p585 :rule aci_norm :args ((= @t448 (or @t166 @t446 @t445 @t444))))
% 29.15/29.38  (step @p586 :rule cong :premises (@p585) :args (@t449))
% 29.15/29.38  (step @p587 :rule quant-merge-prenex :args ((= (forall @t9 @t451) @t449)))
% 29.15/29.38  (step @p588 :rule alpha_equiv :args (@t452 (@list @t443 @t442) (@list @t1 @t453)))
% 29.15/29.38  (step @p589 :rule nary_cong :premises (@p112 @p588) :args (@t454))
% 29.15/29.38  (step @p590 :rule quant-miniscope-or :args ((= @t451 @t454)))
% 29.15/29.38  (step @p591 :rule trans :premises (@p590 @p589))
% 29.15/29.38  (step @p592 :rule symm :premises (@p591))
% 29.15/29.38  (step @p593 :rule cong :premises (@p592) :args ((forall @t9 (or @t166 @t459))))
% 29.15/29.38  (step @p594 :rule trans :premises (@p593 @p587))
% 29.15/29.38  (step @p595 :rule trans :premises (@p594 @p586))
% 29.15/29.38  (step @p596 :rule bool-impl-elim :args (@t17 @t459))
% 29.15/29.38  (step @p597 :rule cong :premises (@p596) :args ((forall @t9 (=> @t17 @t459))))
% 29.15/29.38  (step @p598 :rule trans :premises (@p597 @p595))
% 29.15/29.38  (step @p599 :rule aci_norm :args ((= @t461 @t457)))
% 29.15/29.38  (step @p600 :rule cong :premises (@p599) :args (@t462))
% 29.15/29.38  (step @p601 :rule quant-merge-prenex :args ((= (forall @t7 @t464) @t462)))
% 29.15/29.38  (step @p602 :rule alpha_equiv :args (@t465 (@list @t453) (@list @t12)))
% 29.15/29.38  (step @p603 :rule nary_cong :premises (@p166 @p602) :args (@t466))
% 29.15/29.38  (step @p604 :rule quant-miniscope-or :args ((= @t464 @t466)))
% 29.15/29.38  (step @p605 :rule trans :premises (@p604 @p603))
% 29.15/29.38  (step @p606 :rule symm :premises (@p605))
% 29.15/29.38  (step @p607 :rule cong :premises (@p606) :args ((forall @t7 (or @t203 @t467))))
% 29.15/29.38  (step @p608 :rule trans :premises (@p607 @p601))
% 29.15/29.38  (step @p609 :rule trans :premises (@p608 @p600))
% 29.15/29.38  (step @p610 :rule bool-impl-elim :args (@t21 @t467))
% 29.15/29.38  (step @p611 :rule cong :premises (@p610) :args ((forall @t7 (=> @t21 @t467))))
% 29.15/29.38  (step @p612 :rule trans :premises (@p611 @p609))
% 29.15/29.38  (step @p613 :rule bool-impl-elim :args (@t15 @t66))
% 29.15/29.38  (step @p614 :rule cong :premises (@p613) :args (@t67))
% 29.15/29.38  (step @p615 :rule cong :premises (@p532 @p614) :args (@t68))
% 29.15/29.38  (step @p616 :rule cong :premises (@p615) :args (@t69))
% 29.15/29.38  (step @p617 :rule trans :premises (@p616 @p612))
% 29.15/29.38  (step @p618 :rule cong :premises (@p101 @p617) :args (@t70))
% 29.15/29.38  (step @p619 :rule cong :premises (@p618) :args (@t71))
% 29.15/29.38  (step @p620 :rule trans :premises (@p619 @p598))
% 29.15/29.38  (step @p621 :rule eq_resolve :premises (@p82 @p620))
% 29.15/29.38  (step @p622 :rule instantiate :premises (@p621) :args ((@list @t170 tptp.nil @t409)))
% 29.15/29.38  (step @p623 :rule bool-double-not-elim :args (@t411))
% 29.15/29.38  (step @p624 :rule nary_cong :premises (@p576 @p623) :args ((or @t422 (not @t412))))
% 29.15/29.38  (step @p625 :rule cnf_or_neg :args (@t422 5))
% 29.15/29.38  (step @p626 :rule eq_resolve :premises (@p625 @p624))
% 29.15/29.38  (step @p627 :rule reordering :premises (@p626) :args ((or @t411 @t422)))
% 29.15/29.38  (step @p628 :rule chain_m_resolution :premises (@p627 @p574) :args (@t411 @t436 @t437))
% 29.15/29.38  (step @p629 :rule cnf_or_pos :args (@t472))
% 29.15/29.38  (step @p630 :rule reordering :premises (@p629) :args ((or @t471 @t421 @t412 @t470 (not @t472))))
% 29.15/29.38  (step @p631 :rule chain_m_resolution :premises (@p630 @p17 @p581 @p628 @p622) :args (@t470 @t473 @t474))
% 29.15/29.38  (step @p632 :rule bool-impl-elim :args (@t17 @t475))
% 29.15/29.38  (step @p633 :rule cong :premises (@p632) :args ((forall @t9 (=> @t17 @t475))))
% 29.15/29.38  (step @p634 :rule eq-symm :args (@t48 @t2))
% 29.15/29.38  (step @p635 :rule cong :premises (@p101 @p634) :args (@t49))
% 29.15/29.38  (step @p636 :rule cong :premises (@p635) :args (@t50))
% 29.15/29.38  (step @p637 :rule trans :premises (@p636 @p633))
% 29.15/29.38  (step @p638 :rule eq_resolve :premises (@p28 @p637))
% 29.15/29.38  (step @p639 :rule instantiate :premises (@p638) :args (@t476))
% 29.15/29.38  (step @p640 :rule cnf_or_pos :args (@t478))
% 29.15/29.38  (step @p641 :rule reordering :premises (@p640) :args ((or @t412 @t477 (not @t478))))
% 29.15/29.38  (step @p642 :rule chain_m_resolution :premises (@p641 @p628 @p639) :args (@t477 @t441 (@list @t411 @t478)))
% 29.15/29.38  (step @p643 :rule instantiate :premises (@p105) :args (@t476))
% 29.15/29.38  (step @p644 :rule cnf_or_pos :args (@t481))
% 29.15/29.38  (step @p645 :rule reordering :premises (@p644) :args ((or @t412 @t480 (not @t481))))
% 29.15/29.38  (step @p646 :rule chain_m_resolution :premises (@p645 @p628 @p643) :args (@t480 @t441 (@list @t411 @t481)))
% 29.15/29.38  (step @p647 :rule instantiate :premises (@p621) :args (@t482))
% 29.15/29.38  (step @p648 :rule cnf_or_pos :args (@t485))
% 29.15/29.38  (step @p649 :rule reordering :premises (@p648) :args ((or @t471 @t421 @t412 @t484 (not @t485))))
% 29.15/29.38  (step @p650 :rule chain_m_resolution :premises (@p649 @p17 @p581 @p628 @p647) :args (@t484 @t473 (@list @t39 @t420 @t411 @t485)))
% 29.15/29.38  (step @p651 :rule bool-double-not-elim :args (@t416))
% 29.15/29.38  (step @p652 :rule nary_cong :premises (@p576 @p651) :args ((or @t422 (not @t417))))
% 29.15/29.38  (step @p653 :rule cnf_or_neg :args (@t422 3))
% 29.15/29.38  (step @p654 :rule eq_resolve :premises (@p653 @p652))
% 29.15/29.38  (step @p655 :rule reordering :premises (@p654) :args ((or @t416 @t422)))
% 29.15/29.38  (step @p656 :rule chain_m_resolution :premises (@p655 @p574) :args (@t416 @t436 @t437))
% 29.15/29.38  (step @p657 :rule eq-symm :args (@t438 @t170))
% 29.15/29.38  (step @p658 :rule cong :premises (@p657) :args (@t486))
% 29.15/29.38  (step @p659 :rule eq-symm :args (@t483 @t413))
% 29.15/29.38  (step @p660 :rule cong :premises (@p659) :args (@t487))
% 29.15/29.38  (step @p661 :rule refl :args (@t471))
% 29.15/29.38  (step @p662 :rule nary_cong :premises (@p562 @p550 @p661 @p660 @p658) :args (@t488))
% 29.15/29.38  (step @p663 :rule refl :args (@t416))
% 29.15/29.38  (step @p664 :rule cong :premises (@p663 @p662) :args ((=> @t416 @t488)))
% 29.15/29.38  (assume-push @p724 @t416)
% 29.15/29.38  (step @p666 :rule instantiate :premises (@p656) :args (@t482))
% 29.15/29.38  (step-pop @p725 :rule scope :premises (@p666))
% 29.15/29.38  (step @p667 :rule process_scope :premises (@p725) :args (@t488))
% 29.15/29.38  (step @p669 :rule eq_resolve :premises (@p667 @p664))
% 29.15/29.38  (step @p670 :rule implies_elim :premises (@p669))
% 29.15/29.38  (step @p671 :rule chain_m_resolution :premises (@p670 @p656) :args (@t492 (@list false) (@list @t416)))
% 29.15/29.38  (step @p672 :rule cnf_or_pos :args (@t492))
% 29.15/29.38  (step @p673 :rule reordering :premises (@p672) :args ((or @t471 @t421 @t412 @t489 @t491 (not @t492))))
% 29.15/29.38  (step @p674 :rule chain_m_resolution :premises (@p673 @p17 @p581 @p628 @p584 @p671) :args (@t491 (@list false false false false false) (@list @t39 @t420 @t411 @t439 @t492)))
% 29.15/29.38  (step @p675 :rule bool-double-not-elim :args (@t490))
% 29.15/29.38  (step @p676 :rule refl :args (@t493))
% 29.15/29.38  (step @p677 :rule refl :args (@t494))
% 29.15/29.38  (step @p678 :rule refl :args (@t495))
% 29.15/29.38  (step @p679 :rule refl :args (@t496))
% 29.15/29.38  (step @p680 :rule refl :args (@t489))
% 29.15/29.38  (step @p681 :rule nary_cong :premises (@p680 @p679 @p678 @p677 @p676 @p675) :args ((or @t489 @t496 @t495 @t494 @t493 (not @t491))))
% 29.15/29.38  (assume-push @p726 @t491)
% 29.15/29.38  (assume-push @p727 @t490)
% 29.15/29.38  (step @p684 :rule evaluate :args ((= true false)))
% 29.15/29.38  (step @p685 :rule false_intro :premises (@p674))
% 29.15/29.38  (step @p686 :rule symm :premises (@p650))
% 29.15/29.38  (step @p687 :rule symm :premises (@p642))
% 29.15/29.38  (step @p688 :rule trans :premises (@p687 @p646))
% 29.15/29.38  (step @p689 :rule refl :args (@t170))
% 29.15/29.38  (step @p690 :rule cong :premises (@p689 @p688) :args (@t469))
% 29.15/29.38  (step @p691 :rule chain_m_resolution :premises (@p630 @p17 @p581 @p628 @p622) :args (@t470 @t473 @t474))
% 29.15/29.38  (step @p692 :rule refl :args (@t409))
% 29.15/29.38  (step @p693 :rule cong :premises (@p584 @p692) :args (@t413))
% 29.15/29.38  (step @p694 :rule trans :premises (@p693 @p691 @p690 @p686))
% 29.15/29.38  (step @p695 :rule true_intro :premises (@p694))
% 29.15/29.38  (step @p696 :rule symm :premises (@p695))
% 29.15/29.38  (step @p697 :rule trans :premises (@p696 @p685))
% 29.15/29.38  (step @p698 false :rule eq_resolve :premises (@p697 @p684))
% 29.15/29.38  (step-pop @p728 :rule scope :premises (@p698))
% 29.15/29.38  (step-pop @p729 :rule scope :premises (@p728))
% 29.15/29.38  (step @p699 :rule process_scope :premises (@p729) :args (false))
% 29.15/29.38  (assume-push @p730 @t439)
% 29.15/29.38  (assume-push @p731 @t470)
% 29.15/29.38  (assume-push @p732 @t477)
% 29.15/29.38  (assume-push @p733 @t480)
% 29.15/29.38  (assume-push @p734 @t484)
% 29.15/29.38  (assume-push @p735 @t491)
% 29.15/29.38  (step @p686 :rule symm :premises (@p650))
% 29.15/29.38  (step @p687 :rule symm :premises (@p642))
% 29.15/29.38  (step @p688 :rule trans :premises (@p687 @p646))
% 29.15/29.38  (step @p689 :rule refl :args (@t170))
% 29.15/29.38  (step @p690 :rule cong :premises (@p689 @p688) :args (@t469))
% 29.15/29.38  (step @p692 :rule refl :args (@t409))
% 29.15/29.38  (step @p693 :rule cong :premises (@p584 @p692) :args (@t413))
% 29.15/29.38  (step @p708 :rule trans :premises (@p693 @p631 @p690 @p686))
% 29.15/29.38  (step @p709 :rule and_intro :premises (@p674 @p708))
% 29.15/29.38  (step-pop @p736 :rule scope :premises (@p709))
% 29.15/29.38  (step-pop @p737 :rule scope :premises (@p736))
% 29.15/29.38  (step-pop @p738 :rule scope :premises (@p737))
% 29.15/29.38  (step-pop @p739 :rule scope :premises (@p738))
% 29.15/29.38  (step-pop @p740 :rule scope :premises (@p739))
% 29.15/29.38  (step-pop @p741 :rule scope :premises (@p740))
% 29.15/29.38  (step @p710 :rule process_scope :premises (@p741) :args (@t497))
% 29.15/29.38  (step @p717 :rule implies_elim :premises (@p710))
% 29.15/29.38  (step @p718 :rule resolution :premises (@p717 @p699) :args (true @t497))
% 29.15/29.38  (step @p719 :rule not_and :premises (@p718))
% 29.15/29.38  (step @p720 :rule eq_resolve :premises (@p719 @p681))
% 29.15/29.38  (step @p721 false :rule chain_m_resolution :premises (@p720 @p674 @p650 @p646 @p642 @p631 @p584) :args (false (@list true false false false false false) (@list @t490 @t484 @t480 @t477 @t470 @t439)))
% 29.15/29.38  )
% 29.15/29.38  % SZS output end Proof
% 29.15/29.38  % cvc5 exiting
%------------------------------------------------------------------------------