cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC384+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 : 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 08:59:06 AM UTC 2026

% Result   : Theorem 15.61s 16.01s
% Output   : Proof 15.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC384+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
% 0.17/0.34  % 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 19:46:20 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 15.61/16.01  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.61/16.01  --- Run --no-e-matching --full-saturate-quant at 6...
% 15.61/16.01  % SZS status Theorem
% 15.61/16.01  % SZS output start Proof
% 15.61/16.01  (
% 15.61/16.01  (declare-sort $$unsorted 0)
% 15.61/16.01  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 15.61/16.01  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 15.61/16.01  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 15.61/16.01  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 15.61/16.01  (declare-const tptp.nil $$unsorted)
% 15.61/16.01  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.ssList (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 15.61/16.01  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 15.61/16.01  (define @t1 () (@var "V" $$unsorted))
% 15.61/16.01  (define @t2 () (@var "U" $$unsorted))
% 15.61/16.01  (define @t3 () (= @t2 @t1))
% 15.61/16.01  (define @t4 () (not @t3))
% 15.61/16.01  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 15.61/16.01  (define @t6 () (tptp.ssItem @t1))
% 15.61/16.01  (define @t7 () (@list @t1))
% 15.61/16.01  (define @t8 () (tptp.ssItem @t2))
% 15.61/16.01  (define @t9 () (@list @t2))
% 15.61/16.01  (define @t10 () (@var "X" $$unsorted))
% 15.61/16.01  (define @t11 () (tptp.cons @t1 @t10))
% 15.61/16.01  (define @t12 () (@var "W" $$unsorted))
% 15.61/16.01  (define @t13 () (tptp.ssList @t10))
% 15.61/16.01  (define @t14 () (@list @t10))
% 15.61/16.01  (define @t15 () (tptp.ssList @t12))
% 15.61/16.01  (define @t16 () (@list @t12))
% 15.61/16.01  (define @t17 () (tptp.ssList @t2))
% 15.61/16.01  (define @t18 () (tptp.cons @t1 tptp.nil))
% 15.61/16.01  (define @t19 () (and @t6 (= @t18 @t2)))
% 15.61/16.01  (define @t20 () (exists @t7 @t19))
% 15.61/16.01  (define @t21 () (tptp.singletonP @t2))
% 15.61/16.01  (define @t22 () (= @t21 @t20))
% 15.61/16.01  (define @t23 () (=> @t17 @t22))
% 15.61/16.01  (define @t24 () (forall @t9 @t23))
% 15.61/16.01  (define @t25 () (tptp.app @t1 @t12))
% 15.61/16.01  (define @t26 () (tptp.frontsegP @t2 @t1))
% 15.61/16.01  (define @t27 () (tptp.ssList @t1))
% 15.61/16.01  (define @t28 () (tptp.app @t12 @t1))
% 15.61/16.01  (define @t29 () (tptp.rearsegP @t2 @t1))
% 15.61/16.01  (define @t30 () (tptp.segmentP @t2 @t1))
% 15.61/16.01  (define @t31 () (tptp.leq @t12 @t1))
% 15.61/16.01  (define @t32 () (tptp.leq @t1 @t12))
% 15.61/16.01  (define @t33 () (@var "Z" $$unsorted))
% 15.61/16.01  (define @t34 () (@var "Y" $$unsorted))
% 15.61/16.01  (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2))
% 15.61/16.01  (define @t36 () (tptp.ssList @t33))
% 15.61/16.01  (define @t37 () (@list @t33))
% 15.61/16.01  (define @t38 () (tptp.ssList @t34))
% 15.61/16.01  (define @t39 () (@list @t34))
% 15.61/16.01  (define @t40 () (tptp.ssItem @t12))
% 15.61/16.01  (define @t41 () (tptp.lt @t1 @t12))
% 15.61/16.01  (define @t42 () (= @t1 @t12))
% 15.61/16.01  (define @t43 () (forall @t7 (=> @t27 @t5)))
% 15.61/16.01  (define @t44 () (=> @t17 @t43))
% 15.61/16.01  (define @t45 () (forall @t9 @t44))
% 15.61/16.01  (define @t46 () (tptp.cons @t1 @t2))
% 15.61/16.01  (define @t47 () (tptp.ssList tptp.nil))
% 15.61/16.01  (define @t48 () (= @t1 @t2))
% 15.61/16.01  (define @t49 () (tptp.cons @t12 @t1))
% 15.61/16.01  (define @t50 () (= tptp.nil @t2))
% 15.61/16.01  (define @t51 () (tptp.hd @t2))
% 15.61/16.01  (define @t52 () (not @t50))
% 15.61/16.01  (define @t53 () (tptp.tl @t2))
% 15.61/16.01  (define @t54 () (tptp.app @t2 @t1))
% 15.61/16.01  (define @t55 () (tptp.app @t1 @t2))
% 15.61/16.01  (define @t56 () (tptp.leq @t1 @t2))
% 15.61/16.01  (define @t57 () (tptp.leq @t2 @t1))
% 15.61/16.01  (define @t58 () (tptp.geq @t2 @t1))
% 15.61/16.01  (define @t59 () (tptp.lt @t1 @t2))
% 15.61/16.01  (define @t60 () (tptp.lt @t2 @t1))
% 15.61/16.01  (define @t61 () (tptp.lt @t2 @t12))
% 15.61/16.01  (define @t62 () (tptp.gt @t2 @t1))
% 15.61/16.01  (define @t63 () (tptp.memberP @t12 @t2))
% 15.61/16.01  (define @t64 () (tptp.app @t12 @t2))
% 15.61/16.01  (define @t65 () (tptp.segmentP @t1 @t2))
% 15.61/16.01  (define @t66 () (tptp.segmentP @t2 @t2))
% 15.61/16.01  (define @t67 () (forall @t9 (=> @t17 @t66)))
% 15.61/16.01  (define @t68 () (tptp.segmentP (tptp.app @t64 @t10) @t1))
% 15.61/16.01  (define @t69 () (=> @t30 @t68))
% 15.61/16.01  (define @t70 () (forall @t14 (=> @t13 @t69)))
% 15.61/16.01  (define @t71 () (=> @t15 @t70))
% 15.61/16.01  (define @t72 () (forall @t16 @t71))
% 15.61/16.01  (define @t73 () (=> @t27 @t72))
% 15.61/16.01  (define @t74 () (forall @t7 @t73))
% 15.61/16.01  (define @t75 () (=> @t17 @t74))
% 15.61/16.01  (define @t76 () (forall @t9 @t75))
% 15.61/16.01  (define @t77 () (tptp.cons @t2 tptp.nil))
% 15.61/16.01  (define @t78 () (tptp.hd @t1))
% 15.61/16.01  (define @t79 () (= tptp.nil @t1))
% 15.61/16.01  (define @t80 () (not @t79))
% 15.61/16.01  (define @t81 () (tptp.cons @t2 @t1))
% 15.61/16.01  (define @t82 () (= @t12 @t2))
% 15.61/16.01  (define @t83 () (and @t21 @t65))
% 15.61/16.01  (define @t84 () (not (= tptp.nil @t12)))
% 15.61/16.01  (define @t85 () (not (= tptp.nil @t10)))
% 15.61/16.01  (define @t86 () (or @t85 @t84))
% 15.61/16.01  (define @t87 () (@var "X3" $$unsorted))
% 15.61/16.01  (define @t88 () (tptp.lt @t87 @t34))
% 15.61/16.01  (define @t89 () (@var "X1" $$unsorted))
% 15.61/16.01  (define @t90 () (tptp.memberP @t89 @t87))
% 15.61/16.01  (define @t91 () (tptp.ssItem @t87))
% 15.61/16.01  (define @t92 () (and @t91 @t90 @t88))
% 15.61/16.01  (define @t93 () (@list @t87))
% 15.61/16.01  (define @t94 () (exists @t93 @t92))
% 15.61/16.01  (define @t95 () (@var "X2" $$unsorted))
% 15.61/16.01  (define @t96 () (tptp.lt @t34 @t95))
% 15.61/16.01  (define @t97 () (tptp.memberP @t33 @t95))
% 15.61/16.01  (define @t98 () (tptp.ssItem @t95))
% 15.61/16.01  (define @t99 () (and @t98 @t97 @t96))
% 15.61/16.01  (define @t100 () (@list @t95))
% 15.61/16.01  (define @t101 () (exists @t100 @t99))
% 15.61/16.01  (define @t102 () (tptp.app @t33 @t12))
% 15.61/16.01  (define @t103 () (tptp.app @t102 @t89))
% 15.61/16.01  (define @t104 () (not (= @t103 @t10)))
% 15.61/16.01  (define @t105 () (tptp.cons @t34 tptp.nil))
% 15.61/16.01  (define @t106 () (not (= @t105 @t12)))
% 15.61/16.01  (define @t107 () (or @t106 @t104 @t101 @t94))
% 15.61/16.01  (define @t108 () (tptp.ssList @t89))
% 15.61/16.01  (define @t109 () (=> @t108 @t107))
% 15.61/16.01  (define @t110 () (@list @t89))
% 15.61/16.01  (define @t111 () (forall @t110 @t109))
% 15.61/16.01  (define @t112 () (=> @t36 @t111))
% 15.61/16.01  (define @t113 () (forall @t37 @t112))
% 15.61/16.01  (define @t114 () (tptp.ssItem @t34))
% 15.61/16.01  (define @t115 () (=> @t114 @t113))
% 15.61/16.01  (define @t116 () (forall @t39 @t115))
% 15.61/16.01  (define @t117 () (and @t116 @t86))
% 15.61/16.01  (define @t118 () (not (tptp.neq @t1 tptp.nil)))
% 15.61/16.01  (define @t119 () (not (= @t2 @t12)))
% 15.61/16.01  (define @t120 () (not (= @t1 @t10)))
% 15.61/16.01  (define @t121 () (or @t120 @t119 @t118 @t117 @t83))
% 15.61/16.01  (define @t122 () (=> @t13 @t121))
% 15.61/16.01  (define @t123 () (forall @t14 @t122))
% 15.61/16.01  (define @t124 () (=> @t15 @t123))
% 15.61/16.01  (define @t125 () (forall @t16 @t124))
% 15.61/16.01  (define @t126 () (=> @t27 @t125))
% 15.61/16.01  (define @t127 () (forall @t7 @t126))
% 15.61/16.01  (define @t128 () (=> @t17 @t127))
% 15.61/16.01  (define @t129 () (forall @t9 @t128))
% 15.61/16.01  (define @t130 () (not @t129))
% 15.61/16.01  (define @t131 () (@var "BOUND_VARIABLE_9128" $$unsorted))
% 15.61/16.01  (define @t132 () (= (tptp.neq @t2 @t131) (not (= @t2 @t131))))
% 15.61/16.01  (define @t133 () (not (tptp.ssList @t131)))
% 15.61/16.01  (define @t134 () (not @t17))
% 15.61/16.01  (define @t135 () (or @t134 @t133 @t132))
% 15.61/16.01  (define @t136 () (or @t133 @t132))
% 15.61/16.01  (define @t137 () (or @t134 @t136))
% 15.61/16.01  (define @t138 () (@list @t2 @t131))
% 15.61/16.01  (define @t139 () (forall @t138 @t137))
% 15.61/16.01  (define @t140 () (@list @t131))
% 15.61/16.01  (define @t141 () (forall @t140 @t137))
% 15.61/16.01  (define @t142 () (forall @t140 @t136))
% 15.61/16.01  (define @t143 () (or @t134 @t142))
% 15.61/16.01  (define @t144 () (not @t27))
% 15.61/16.01  (define @t145 () (forall @t7 (or @t144 @t5)))
% 15.61/16.01  (define @t146 () (not (= @t2 tptp.nil)))
% 15.61/16.01  (define @t147 () (@var "BOUND_VARIABLE_11311" $$unsorted))
% 15.61/16.01  (define @t148 () (@var "BOUND_VARIABLE_11313" $$unsorted))
% 15.61/16.01  (define @t149 () (@var "BOUND_VARIABLE_11317" $$unsorted))
% 15.61/16.01  (define @t150 () (not @t91))
% 15.61/16.01  (define @t151 () (@var "BOUND_VARIABLE_11315" $$unsorted))
% 15.61/16.01  (define @t152 () (not @t98))
% 15.61/16.01  (define @t153 () (or (not (tptp.ssItem @t148)) (not (= @t2 (tptp.cons @t148 tptp.nil))) (not (tptp.ssList @t151)) (not (forall @t100 (or @t152 (not (tptp.memberP @t151 @t95)) (not (tptp.lt @t148 @t95))))) (not (tptp.ssList @t149)) (not (= @t147 (tptp.app (tptp.app @t151 @t2) @t149))) (not (forall @t93 (or @t150 (not (tptp.memberP @t149 @t87)) (not (tptp.lt @t87 @t148)))))))
% 15.61/16.01  (define @t154 () (and @t21 (tptp.segmentP @t147 @t2)))
% 15.61/16.01  (define @t155 () (not (tptp.neq @t147 tptp.nil)))
% 15.61/16.01  (define @t156 () (not (tptp.ssList @t147)))
% 15.61/16.01  (define @t157 () (@list @t2 @t147 @t148 @t151 @t149))
% 15.61/16.01  (define @t158 () (forall @t157 (or @t134 @t156 @t155 @t154 (and @t153 (or (not (= tptp.nil @t147)) @t146)))))
% 15.61/16.01  (define @t159 () (@quantifiers_skolemize @t158 1))
% 15.61/16.01  (define @t160 () (not (= @t159 tptp.nil)))
% 15.61/16.01  (define @t161 () (tptp.neq @t159 tptp.nil))
% 15.61/16.01  (define @t162 () (= @t161 @t160))
% 15.61/16.01  (define @t163 () (not @t47))
% 15.61/16.01  (define @t164 () (tptp.ssList @t159))
% 15.61/16.01  (define @t165 () (not @t164))
% 15.61/16.01  (define @t166 () (or @t165 @t163 @t162))
% 15.61/16.01  (define @t167 () (forall @t138 @t135))
% 15.61/16.01  (define @t168 () (= tptp.nil @t159))
% 15.61/16.01  (define @t169 () (not @t168))
% 15.61/16.01  (define @t170 () (= @t161 @t169))
% 15.61/16.01  (define @t171 () (or @t165 @t163 @t170))
% 15.61/16.01  (define @t172 () (@list false))
% 15.61/16.01  (define @t173 () (not (= @t147 tptp.nil)))
% 15.61/16.01  (define @t174 () (or @t173 @t146))
% 15.61/16.01  (define @t175 () (and @t153 @t174))
% 15.61/16.01  (define @t176 () (or @t134 @t156 @t155 @t154 @t175))
% 15.61/16.01  (define @t177 () (or @t156 @t155 @t154 @t175))
% 15.61/16.01  (define @t178 () (or @t134 @t177))
% 15.61/16.01  (define @t179 () (forall @t157 @t178))
% 15.61/16.01  (define @t180 () (@list @t147 @t148 @t151 @t149))
% 15.61/16.01  (define @t181 () (forall @t180 @t178))
% 15.61/16.01  (define @t182 () (forall @t180 @t177))
% 15.61/16.01  (define @t183 () (@var "BOUND_VARIABLE_11273" $$unsorted))
% 15.61/16.01  (define @t184 () (@var "BOUND_VARIABLE_11271" $$unsorted))
% 15.61/16.01  (define @t185 () (@var "BOUND_VARIABLE_11269" $$unsorted))
% 15.61/16.01  (define @t186 () (or @t134 @t182))
% 15.61/16.01  (define @t187 () (not (= @t1 tptp.nil)))
% 15.61/16.01  (define @t188 () (or @t187 @t146))
% 15.61/16.01  (define @t189 () (or (not (tptp.ssItem @t185)) (not (= @t2 (tptp.cons @t185 tptp.nil))) (not (tptp.ssList @t184)) (not (forall @t100 (or @t152 (not (tptp.memberP @t184 @t95)) (not (tptp.lt @t185 @t95))))) (not (tptp.ssList @t183)) (not (= @t1 (tptp.app (tptp.app @t184 @t2) @t183))) (not (forall @t93 (or @t150 (not (tptp.memberP @t183 @t87)) (not (tptp.lt @t87 @t185)))))))
% 15.61/16.01  (define @t190 () (and @t189 @t188))
% 15.61/16.01  (define @t191 () (or @t144 @t118 @t83 @t190))
% 15.61/16.01  (define @t192 () (forall (@list @t1 @t185 @t184 @t183) @t191))
% 15.61/16.01  (define @t193 () (or @t134 @t192))
% 15.61/16.01  (define @t194 () (@list @t185 @t184 @t183))
% 15.61/16.01  (define @t195 () (forall @t194 @t191))
% 15.61/16.01  (define @t196 () (forall @t194 @t188))
% 15.61/16.01  (define @t197 () (forall @t194 @t189))
% 15.61/16.01  (define @t198 () (@var "BOUND_VARIABLE_11220" $$unsorted))
% 15.61/16.01  (define @t199 () (@var "BOUND_VARIABLE_11218" $$unsorted))
% 15.61/16.01  (define @t200 () (@var "BOUND_VARIABLE_11216" $$unsorted))
% 15.61/16.01  (define @t201 () (@list @t200 @t199 @t198))
% 15.61/16.01  (define @t202 () (and @t197 @t196))
% 15.61/16.01  (define @t203 () (forall @t194 @t190))
% 15.61/16.01  (define @t204 () (or @t144 @t118 @t83 @t203))
% 15.61/16.01  (define @t205 () (and (forall (@list @t200 @t199 @t198) (or (not (tptp.ssItem @t200)) (not (= @t2 (tptp.cons @t200 tptp.nil))) (not (tptp.ssList @t199)) (not (forall @t100 (or @t152 (not (tptp.memberP @t199 @t95)) (not (tptp.lt @t200 @t95))))) (not (tptp.ssList @t198)) (not (= @t1 (tptp.app (tptp.app @t199 @t2) @t198))) (not (forall @t93 (or @t150 (not (tptp.memberP @t198 @t87)) (not (tptp.lt @t87 @t200))))))) @t188))
% 15.61/16.01  (define @t206 () (or @t144 @t118 @t83 @t205))
% 15.61/16.01  (define @t207 () (forall @t7 @t206))
% 15.61/16.01  (define @t208 () (or @t134 @t207))
% 15.61/16.01  (define @t209 () (or @t134 @t206))
% 15.61/16.01  (define @t210 () (or @t144 @t118 @t83 @t134 @t205))
% 15.61/16.01  (define @t211 () (or @t118 @t83 @t144 @t134 @t205))
% 15.61/16.01  (define @t212 () (@var "BOUND_VARIABLE_11163" $$unsorted))
% 15.61/16.01  (define @t213 () (@var "BOUND_VARIABLE_11161" $$unsorted))
% 15.61/16.01  (define @t214 () (@var "BOUND_VARIABLE_11159" $$unsorted))
% 15.61/16.01  (define @t215 () (@list @t214 @t213 @t212))
% 15.61/16.01  (define @t216 () (forall @t215 @t188))
% 15.61/16.01  (define @t217 () (not (forall @t93 (or @t150 (not (tptp.memberP @t212 @t87)) (not (tptp.lt @t87 @t214))))))
% 15.61/16.01  (define @t218 () (not (tptp.ssList @t212)))
% 15.61/16.01  (define @t219 () (not (forall @t100 (or @t152 (not (tptp.memberP @t213 @t95)) (not (tptp.lt @t214 @t95))))))
% 15.61/16.01  (define @t220 () (not (tptp.ssList @t213)))
% 15.61/16.01  (define @t221 () (tptp.cons @t214 tptp.nil))
% 15.61/16.01  (define @t222 () (not (tptp.ssItem @t214)))
% 15.61/16.01  (define @t223 () (or @t222 (not (= @t2 @t221)) @t220 @t219 @t218 (not (= @t1 (tptp.app (tptp.app @t213 @t2) @t212))) @t217))
% 15.61/16.01  (define @t224 () (forall @t215 @t223))
% 15.61/16.01  (define @t225 () (@list @t214 @t213 @t212))
% 15.61/16.01  (define @t226 () (and @t224 @t216))
% 15.61/16.01  (define @t227 () (and @t223 @t188))
% 15.61/16.01  (define @t228 () (forall @t215 @t227))
% 15.61/16.01  (define @t229 () (or @t134 @t228))
% 15.61/16.01  (define @t230 () (or @t134 @t227))
% 15.61/16.01  (define @t231 () (not (= @t2 @t2)))
% 15.61/16.01  (define @t232 () (or @t134 @t231 @t227))
% 15.61/16.01  (define @t233 () (not (= @t12 tptp.nil)))
% 15.61/16.01  (define @t234 () (or @t187 @t233))
% 15.61/16.01  (define @t235 () (or @t222 (not (= @t12 @t221)) @t220 @t219 @t218 (not (= @t1 (tptp.app (tptp.app @t213 @t12) @t212))) @t217))
% 15.61/16.01  (define @t236 () (and @t235 @t234))
% 15.61/16.01  (define @t237 () (not @t15))
% 15.61/16.01  (define @t238 () (or @t119 @t237 @t119 @t236))
% 15.61/16.01  (define @t239 () (or @t237 @t119 @t236))
% 15.61/16.01  (define @t240 () (forall @t16 @t239))
% 15.61/16.01  (define @t241 () (forall @t215 @t240))
% 15.61/16.01  (define @t242 () (forall (@list @t214 @t213 @t212 @t12) @t239))
% 15.61/16.01  (define @t243 () (forall (@list @t12 @t214 @t213 @t212) @t239))
% 15.61/16.01  (define @t244 () (forall @t215 @t239))
% 15.61/16.01  (define @t245 () (forall @t215 @t234))
% 15.61/16.01  (define @t246 () (forall @t215 @t235))
% 15.61/16.01  (define @t247 () (@var "BOUND_VARIABLE_11110" $$unsorted))
% 15.61/16.01  (define @t248 () (@var "BOUND_VARIABLE_11108" $$unsorted))
% 15.61/16.01  (define @t249 () (@var "BOUND_VARIABLE_11106" $$unsorted))
% 15.61/16.01  (define @t250 () (@list @t249 @t248 @t247))
% 15.61/16.01  (define @t251 () (and @t246 @t245))
% 15.61/16.01  (define @t252 () (forall @t215 @t236))
% 15.61/16.01  (define @t253 () (or @t237 @t119 @t252))
% 15.61/16.01  (define @t254 () (and (forall (@list @t249 @t248 @t247) (or (not (tptp.ssItem @t249)) (not (= @t12 (tptp.cons @t249 tptp.nil))) (not (tptp.ssList @t248)) (not (forall @t100 (or @t152 (not (tptp.memberP @t248 @t95)) (not (tptp.lt @t249 @t95))))) (not (tptp.ssList @t247)) (not (= @t1 (tptp.app (tptp.app @t248 @t12) @t247))) (not (forall @t93 (or @t150 (not (tptp.memberP @t247 @t87)) (not (tptp.lt @t87 @t249))))))) @t234))
% 15.61/16.01  (define @t255 () (or @t237 @t119 @t254))
% 15.61/16.01  (define @t256 () (forall @t16 @t255))
% 15.61/16.01  (define @t257 () (or @t118 @t83 @t144 @t256))
% 15.61/16.01  (define @t258 () (or @t118 @t83 @t144 @t255))
% 15.61/16.01  (define @t259 () (or @t237 @t119 @t118 @t83 @t144 @t254))
% 15.61/16.01  (define @t260 () (or @t119 @t118 @t83 @t144 @t254))
% 15.61/16.01  (define @t261 () (@var "BOUND_VARIABLE_11059" $$unsorted))
% 15.61/16.01  (define @t262 () (@var "BOUND_VARIABLE_11057" $$unsorted))
% 15.61/16.01  (define @t263 () (@var "BOUND_VARIABLE_11055" $$unsorted))
% 15.61/16.01  (define @t264 () (@list @t263 @t262 @t261))
% 15.61/16.01  (define @t265 () (forall @t264 @t234))
% 15.61/16.01  (define @t266 () (not (forall @t93 (or @t150 (not (tptp.memberP @t261 @t87)) (not (tptp.lt @t87 @t263))))))
% 15.61/16.01  (define @t267 () (tptp.app (tptp.app @t262 @t12) @t261))
% 15.61/16.01  (define @t268 () (not (tptp.ssList @t261)))
% 15.61/16.01  (define @t269 () (not (forall @t100 (or @t152 (not (tptp.memberP @t262 @t95)) (not (tptp.lt @t263 @t95))))))
% 15.61/16.01  (define @t270 () (not (tptp.ssList @t262)))
% 15.61/16.01  (define @t271 () (not (= @t12 (tptp.cons @t263 tptp.nil))))
% 15.61/16.01  (define @t272 () (not (tptp.ssItem @t263)))
% 15.61/16.01  (define @t273 () (or @t272 @t271 @t270 @t269 @t268 (not (= @t1 @t267)) @t266))
% 15.61/16.01  (define @t274 () (forall @t264 @t273))
% 15.61/16.01  (define @t275 () (@list @t263 @t262 @t261))
% 15.61/16.01  (define @t276 () (and @t274 @t265))
% 15.61/16.01  (define @t277 () (and @t273 @t234))
% 15.61/16.01  (define @t278 () (forall @t264 @t277))
% 15.61/16.01  (define @t279 () (or @t144 @t278))
% 15.61/16.01  (define @t280 () (or @t144 @t277))
% 15.61/16.01  (define @t281 () (not (= @t1 @t1)))
% 15.61/16.01  (define @t282 () (or @t144 @t281 @t277))
% 15.61/16.01  (define @t283 () (or (not (= @t10 tptp.nil)) @t233))
% 15.61/16.01  (define @t284 () (or @t272 @t271 @t270 @t269 @t268 (not (= @t10 @t267)) @t266))
% 15.61/16.01  (define @t285 () (and @t284 @t283))
% 15.61/16.01  (define @t286 () (not @t13))
% 15.61/16.01  (define @t287 () (or @t120 @t286 @t120 @t285))
% 15.61/16.01  (define @t288 () (or @t286 @t120 @t285))
% 15.61/16.01  (define @t289 () (forall @t14 @t288))
% 15.61/16.01  (define @t290 () (forall @t264 @t289))
% 15.61/16.01  (define @t291 () (forall (@list @t263 @t262 @t261 @t10) @t288))
% 15.61/16.01  (define @t292 () (forall (@list @t10 @t263 @t262 @t261) @t288))
% 15.61/16.01  (define @t293 () (forall @t264 @t288))
% 15.61/16.01  (define @t294 () (forall @t264 @t283))
% 15.61/16.01  (define @t295 () (forall @t264 @t284))
% 15.61/16.01  (define @t296 () (@var "BOUND_VARIABLE_11015" $$unsorted))
% 15.61/16.01  (define @t297 () (@var "BOUND_VARIABLE_11013" $$unsorted))
% 15.61/16.01  (define @t298 () (and @t295 @t294))
% 15.61/16.01  (define @t299 () (forall @t264 @t285))
% 15.61/16.01  (define @t300 () (or @t286 @t120 @t299))
% 15.61/16.01  (define @t301 () (not @t88))
% 15.61/16.01  (define @t302 () (not (forall @t93 (or @t150 (not (tptp.memberP @t296 @t87)) @t301))))
% 15.61/16.01  (define @t303 () (not (= @t10 (tptp.app (tptp.app @t297 @t12) @t296))))
% 15.61/16.01  (define @t304 () (not (tptp.ssList @t296)))
% 15.61/16.01  (define @t305 () (not @t96))
% 15.61/16.01  (define @t306 () (not (forall @t100 (or @t152 (not (tptp.memberP @t297 @t95)) @t305))))
% 15.61/16.01  (define @t307 () (not (tptp.ssList @t297)))
% 15.61/16.01  (define @t308 () (not (= @t12 @t105)))
% 15.61/16.01  (define @t309 () (not @t114))
% 15.61/16.01  (define @t310 () (or @t309 @t308 @t307 @t306 @t304 @t303 @t302))
% 15.61/16.01  (define @t311 () (@list @t34 @t297 @t296))
% 15.61/16.01  (define @t312 () (and (forall @t311 @t310) @t283))
% 15.61/16.01  (define @t313 () (or @t286 @t120 @t312))
% 15.61/16.01  (define @t314 () (forall @t14 @t313))
% 15.61/16.01  (define @t315 () (or @t119 @t118 @t83 @t314))
% 15.61/16.01  (define @t316 () (or @t119 @t118 @t83 @t313))
% 15.61/16.01  (define @t317 () (or @t286 @t120 @t119 @t118 @t312 @t83))
% 15.61/16.01  (define @t318 () (or @t120 @t119 @t118 @t312 @t83))
% 15.61/16.01  (define @t319 () (or @t307 @t306 @t304 @t303 @t302))
% 15.61/16.01  (define @t320 () (or @t309 @t308 @t319))
% 15.61/16.01  (define @t321 () (forall @t311 @t320))
% 15.61/16.01  (define @t322 () (@list @t297 @t296))
% 15.61/16.01  (define @t323 () (forall @t322 @t320))
% 15.61/16.01  (define @t324 () (forall @t322 @t319))
% 15.61/16.01  (define @t325 () (@var "BOUND_VARIABLE_10989" $$unsorted))
% 15.61/16.01  (define @t326 () (or @t309 @t308 @t324))
% 15.61/16.01  (define @t327 () (not (forall @t93 (or @t150 (not (tptp.memberP @t325 @t87)) @t301))))
% 15.61/16.01  (define @t328 () (not (= @t10 (tptp.app @t102 @t325))))
% 15.61/16.01  (define @t329 () (not (tptp.ssList @t325)))
% 15.61/16.01  (define @t330 () (not @t97))
% 15.61/16.01  (define @t331 () (or @t152 @t330 @t305))
% 15.61/16.01  (define @t332 () (not (forall @t100 @t331)))
% 15.61/16.01  (define @t333 () (not @t36))
% 15.61/16.01  (define @t334 () (or @t333 @t332 @t329 @t328 @t327))
% 15.61/16.01  (define @t335 () (@list @t33 @t325))
% 15.61/16.01  (define @t336 () (forall @t335 @t334))
% 15.61/16.01  (define @t337 () (or @t309 @t308 @t336))
% 15.61/16.01  (define @t338 () (or @t308 @t336))
% 15.61/16.01  (define @t339 () (or @t329 @t328 @t327))
% 15.61/16.01  (define @t340 () (or @t333 @t332 @t339))
% 15.61/16.01  (define @t341 () (forall @t335 @t340))
% 15.61/16.01  (define @t342 () (@list @t325))
% 15.61/16.01  (define @t343 () (forall @t342 @t340))
% 15.61/16.01  (define @t344 () (forall @t342 @t339))
% 15.61/16.01  (define @t345 () (or @t333 @t332 @t344))
% 15.61/16.01  (define @t346 () (not @t90))
% 15.61/16.01  (define @t347 () (or @t150 @t346 @t301))
% 15.61/16.01  (define @t348 () (not (forall @t93 @t347)))
% 15.61/16.01  (define @t349 () (not (= @t10 @t103)))
% 15.61/16.01  (define @t350 () (not @t108))
% 15.61/16.01  (define @t351 () (or @t350 @t349 @t348))
% 15.61/16.01  (define @t352 () (forall @t110 @t351))
% 15.61/16.01  (define @t353 () (or @t333 @t332 @t352))
% 15.61/16.01  (define @t354 () (forall @t37 @t353))
% 15.61/16.01  (define @t355 () (or @t308 @t354))
% 15.61/16.01  (define @t356 () (or @t308 @t353))
% 15.61/16.01  (define @t357 () (or @t333 @t308 @t332 @t352))
% 15.61/16.01  (define @t358 () (or @t308 @t332 @t352))
% 15.61/16.01  (define @t359 () (or @t308 @t332 @t351))
% 15.61/16.01  (define @t360 () (or @t350 @t308 @t349 @t332 @t348))
% 15.61/16.01  (define @t361 () (or @t308 @t349 @t332 @t348))
% 15.61/16.01  (define @t362 () (forall @t93 (not @t92)))
% 15.61/16.01  (define @t363 () (not @t362))
% 15.61/16.01  (define @t364 () (forall @t100 (not @t99)))
% 15.61/16.01  (define @t365 () (not @t364))
% 15.61/16.01  (define @t366 () (@quantifiers_skolemize @t158 0))
% 15.61/16.01  (define @t367 () (or @t169 (not (= tptp.nil @t366))))
% 15.61/16.01  (define @t368 () (@quantifiers_skolemize @t158 2))
% 15.61/16.01  (define @t369 () (@quantifiers_skolemize @t158 4))
% 15.61/16.01  (define @t370 () (@quantifiers_skolemize @t158 3))
% 15.61/16.01  (define @t371 () (tptp.app (tptp.app @t370 @t366) @t369))
% 15.61/16.01  (define @t372 () (= @t159 @t371))
% 15.61/16.01  (define @t373 () (not @t372))
% 15.61/16.01  (define @t374 () (tptp.ssList @t369))
% 15.61/16.01  (define @t375 () (not @t374))
% 15.61/16.01  (define @t376 () (tptp.ssList @t370))
% 15.61/16.01  (define @t377 () (not @t376))
% 15.61/16.01  (define @t378 () (tptp.cons @t368 tptp.nil))
% 15.61/16.01  (define @t379 () (= @t366 @t378))
% 15.61/16.01  (define @t380 () (not @t379))
% 15.61/16.01  (define @t381 () (tptp.ssItem @t368))
% 15.61/16.01  (define @t382 () (not @t381))
% 15.61/16.01  (define @t383 () (or @t382 @t380 @t377 (not (forall @t100 (or @t152 (not (tptp.memberP @t370 @t95)) (not (tptp.lt @t368 @t95))))) @t375 @t373 (not (forall @t93 (or @t150 (not (tptp.memberP @t369 @t87)) (not (tptp.lt @t87 @t368)))))))
% 15.61/16.01  (define @t384 () (and @t383 @t367))
% 15.61/16.01  (define @t385 () (tptp.segmentP @t159 @t366))
% 15.61/16.01  (define @t386 () (tptp.singletonP @t366))
% 15.61/16.01  (define @t387 () (and @t386 @t385))
% 15.61/16.01  (define @t388 () (not @t161))
% 15.61/16.01  (define @t389 () (tptp.ssList @t366))
% 15.61/16.01  (define @t390 () (not @t389))
% 15.61/16.01  (define @t391 () (or @t390 @t165 @t388 @t387 @t384))
% 15.61/16.01  (define @t392 () (not @t391))
% 15.61/16.01  (define @t393 () (not @t158))
% 15.61/16.01  (define @t394 () (not (= @t366 tptp.nil)))
% 15.61/16.01  (define @t395 () (or @t169 @t394))
% 15.61/16.01  (define @t396 () (and @t383 @t395))
% 15.61/16.01  (define @t397 () (or @t390 @t165 @t388 @t387 @t396))
% 15.61/16.01  (define @t398 () (not @t397))
% 15.61/16.01  (define @t399 () (@list true))
% 15.61/16.01  (define @t400 () (@list @t391))
% 15.61/16.01  (define @t401 () (@list false false))
% 15.61/16.01  (define @t402 () (@list true false))
% 15.61/16.01  (define @t403 () (@list @t383))
% 15.61/16.01  (define @t404 () (= @t2 @t18))
% 15.61/16.01  (define @t405 () (not @t6))
% 15.61/16.01  (define @t406 () (= @t21 (not (forall @t7 (or @t405 (not @t404))))))
% 15.61/16.01  (define @t407 () (and @t6 @t404))
% 15.61/16.01  (define @t408 () (forall @t7 (not @t407)))
% 15.61/16.01  (define @t409 () (not @t408))
% 15.61/16.01  (define @t410 () (not (= @t366 @t18)))
% 15.61/16.01  (define @t411 () (or @t405 @t410))
% 15.61/16.01  (define @t412 () (forall @t7 @t411))
% 15.61/16.01  (define @t413 () (not @t412))
% 15.61/16.01  (define @t414 () (= @t386 @t413))
% 15.61/16.01  (define @t415 () (or @t390 @t414))
% 15.61/16.01  (define @t416 () (forall @t9 (or @t134 @t406)))
% 15.61/16.01  (define @t417 () (@list @t366))
% 15.61/16.01  (define @t418 () (forall @t7 (or @t405 (not (= @t18 @t366)))))
% 15.61/16.01  (define @t419 () (not @t418))
% 15.61/16.01  (define @t420 () (= @t386 @t419))
% 15.61/16.01  (define @t421 () (or @t390 @t420))
% 15.61/16.01  (define @t422 () (or @t382 @t380))
% 15.61/16.01  (define @t423 () (not @t422))
% 15.61/16.01  (define @t424 () (not (= @t378 @t366)))
% 15.61/16.01  (define @t425 () (or @t382 @t424))
% 15.61/16.01  (define @t426 () (not @t420))
% 15.61/16.01  (define @t427 () (not @t385))
% 15.61/16.01  (define @t428 () (@var "BOUND_VARIABLE_10227" $$unsorted))
% 15.61/16.01  (define @t429 () (@var "BOUND_VARIABLE_10231" $$unsorted))
% 15.61/16.01  (define @t430 () (@var "BOUND_VARIABLE_10229" $$unsorted))
% 15.61/16.01  (define @t431 () (tptp.segmentP (tptp.app (tptp.app @t430 @t2) @t429) @t428))
% 15.61/16.01  (define @t432 () (not (tptp.ssList @t429)))
% 15.61/16.01  (define @t433 () (not (tptp.ssList @t430)))
% 15.61/16.01  (define @t434 () (not (tptp.segmentP @t2 @t428)))
% 15.61/16.01  (define @t435 () (not (tptp.ssList @t428)))
% 15.61/16.01  (define @t436 () (or @t435 @t434 @t433 @t432 @t431))
% 15.61/16.01  (define @t437 () (or @t134 @t436))
% 15.61/16.01  (define @t438 () (forall (@list @t2 @t428 @t430 @t429) @t437))
% 15.61/16.01  (define @t439 () (@list @t428 @t430 @t429))
% 15.61/16.01  (define @t440 () (forall @t439 @t437))
% 15.61/16.01  (define @t441 () (forall @t439 @t436))
% 15.61/16.01  (define @t442 () (@var "BOUND_VARIABLE_10208" $$unsorted))
% 15.61/16.01  (define @t443 () (@var "BOUND_VARIABLE_10206" $$unsorted))
% 15.61/16.01  (define @t444 () (or @t134 @t441))
% 15.61/16.01  (define @t445 () (tptp.segmentP (tptp.app (tptp.app @t443 @t2) @t442) @t1))
% 15.61/16.01  (define @t446 () (not (tptp.ssList @t442)))
% 15.61/16.01  (define @t447 () (not (tptp.ssList @t443)))
% 15.61/16.01  (define @t448 () (not @t30))
% 15.61/16.01  (define @t449 () (or @t144 @t448 @t447 @t446 @t445))
% 15.61/16.01  (define @t450 () (@list @t1 @t443 @t442))
% 15.61/16.01  (define @t451 () (forall @t450 @t449))
% 15.61/16.01  (define @t452 () (or @t447 @t446 @t445))
% 15.61/16.01  (define @t453 () (or @t144 @t448 @t452))
% 15.61/16.01  (define @t454 () (forall @t450 @t453))
% 15.61/16.01  (define @t455 () (@list @t443 @t442))
% 15.61/16.01  (define @t456 () (forall @t455 @t453))
% 15.61/16.01  (define @t457 () (forall @t455 @t452))
% 15.61/16.01  (define @t458 () (@var "BOUND_VARIABLE_10189" $$unsorted))
% 15.61/16.01  (define @t459 () (or @t144 @t448 @t457))
% 15.61/16.01  (define @t460 () (tptp.segmentP (tptp.app @t64 @t458) @t1))
% 15.61/16.01  (define @t461 () (not (tptp.ssList @t458)))
% 15.61/16.01  (define @t462 () (or @t237 @t461 @t460))
% 15.61/16.01  (define @t463 () (@list @t12 @t458))
% 15.61/16.01  (define @t464 () (forall @t463 @t462))
% 15.61/16.01  (define @t465 () (or @t144 @t448 @t464))
% 15.61/16.01  (define @t466 () (or @t448 @t464))
% 15.61/16.01  (define @t467 () (or @t461 @t460))
% 15.61/16.01  (define @t468 () (or @t237 @t467))
% 15.61/16.01  (define @t469 () (forall @t463 @t468))
% 15.61/16.01  (define @t470 () (@list @t458))
% 15.61/16.01  (define @t471 () (forall @t470 @t468))
% 15.61/16.01  (define @t472 () (forall @t470 @t467))
% 15.61/16.01  (define @t473 () (or @t237 @t472))
% 15.61/16.01  (define @t474 () (or @t286 @t68))
% 15.61/16.01  (define @t475 () (forall @t14 @t474))
% 15.61/16.01  (define @t476 () (or @t237 @t475))
% 15.61/16.01  (define @t477 () (forall @t16 @t476))
% 15.61/16.01  (define @t478 () (or @t448 @t477))
% 15.61/16.01  (define @t479 () (or @t448 @t476))
% 15.61/16.01  (define @t480 () (or @t237 @t448 @t475))
% 15.61/16.01  (define @t481 () (or @t448 @t475))
% 15.61/16.01  (define @t482 () (or @t448 @t474))
% 15.61/16.01  (define @t483 () (or @t286 @t448 @t68))
% 15.61/16.01  (define @t484 () (tptp.segmentP @t366 @t366))
% 15.61/16.01  (define @t485 () (or @t390 @t484))
% 15.61/16.01  (define @t486 () (tptp.segmentP @t371 @t366))
% 15.61/16.01  (define @t487 () (not @t484))
% 15.61/16.01  (define @t488 () (or @t390 @t390 @t487 @t377 @t375 @t486))
% 15.61/16.01  (define @t489 () (not @t486))
% 15.61/16.01  (define @t490 () (and @t486 @t372 @t427))
% 15.61/16.01  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 15.61/16.01  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 15.61/16.01  (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)))))))))))
% 15.61/16.01  (assume @p4 @t24)
% 15.61/16.01  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2)))))))))
% 15.61/16.01  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2)))))))))
% 15.61/16.01  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2)))))))))))
% 15.61/16.01  (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31)))))))))))))))))
% 15.61/16.01  (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31))))))))))))))))
% 15.61/16.01  (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1)))))))))))))))))
% 15.61/16.01  (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32)))))))))))))))
% 15.61/16.01  (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41)))))))))))))))
% 15.61/16.01  (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t42))))))))))))))))
% 15.61/16.01  (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t42)))))))))))))
% 15.61/16.01  (assume @p15 @t45)
% 15.61/16.01  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t46))))))
% 15.61/16.01  (assume @p17 @t47)
% 15.61/16.01  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t46 @t2)))))))
% 15.61/16.01  (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t48)))))))))))
% 15.61/16.01  (assume @p20 (forall @t9 (=> @t17 (or @t50 (exists @t7 (and @t27 (exists @t16 (and @t40 (= @t49 @t2)))))))))
% 15.61/16.01  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t46)))))))
% 15.61/16.01  (assume @p22 (forall @t9 (=> @t17 (=> @t52 (tptp.ssItem @t51)))))
% 15.61/16.01  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t46) @t1))))))
% 15.61/16.01  (assume @p24 (forall @t9 (=> @t17 (=> @t52 (tptp.ssList @t53)))))
% 15.61/16.01  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t46) @t2))))))
% 15.61/16.01  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t54))))))
% 15.61/16.01  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t55) (tptp.app @t49 @t2)))))))))
% 15.61/16.01  (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2))))
% 15.61/16.01  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t57 @t56) @t3))))))
% 15.61/16.01  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t57 @t32) (tptp.leq @t2 @t12)))))))))
% 15.61/16.01  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 15.61/16.01  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 @t56))))))
% 15.61/16.01  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not @t59)))))))
% 15.61/16.01  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t60 @t41) @t61))))))))
% 15.61/16.01  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t59))))))
% 15.61/16.01  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t63)))))))))
% 15.61/16.01  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t63)))))))))
% 15.61/16.01  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 15.61/16.01  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 15.61/16.01  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 15.61/16.01  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3))))))
% 15.61/16.01  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 15.61/16.01  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 15.61/16.01  (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))))))))))))
% 15.61/16.01  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 15.61/16.01  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50))))
% 15.61/16.01  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 15.61/16.01  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3))))))
% 15.61/16.01  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 15.61/16.01  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t64 @t1)))))))))
% 15.61/16.01  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 15.61/16.01  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50))))
% 15.61/16.01  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 15.61/16.01  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 @t65) @t3))))))
% 15.61/16.01  (assume @p55 @t67)
% 15.61/16.01  (assume @p56 @t76)
% 15.61/16.01  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 15.61/16.01  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t50))))
% 15.61/16.01  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t77))))
% 15.61/16.01  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 15.61/16.01  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t77))))
% 15.61/16.01  (assume @p62 (tptp.totalorderP tptp.nil))
% 15.61/16.01  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t77))))
% 15.61/16.01  (assume @p64 (tptp.strictorderP tptp.nil))
% 15.61/16.01  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t77))))
% 15.61/16.01  (assume @p66 (tptp.totalorderedP tptp.nil))
% 15.61/16.01  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t81) (or @t79 (and @t80 (tptp.totalorderedP @t1) (tptp.leq @t2 @t78)))))))))
% 15.61/16.01  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t77))))
% 15.61/16.01  (assume @p69 (tptp.strictorderedP tptp.nil))
% 15.61/16.01  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t81) (or @t79 (and @t80 (tptp.strictorderedP @t1) (tptp.lt @t2 @t78)))))))))
% 15.61/16.01  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t77))))
% 15.61/16.01  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 15.61/16.01  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t77))))
% 15.61/16.01  (assume @p74 (tptp.equalelemsP tptp.nil))
% 15.61/16.01  (assume @p75 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t6 (= @t51 @t1)))))))
% 15.61/16.01  (assume @p76 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t27 (= @t53 @t1)))))))
% 15.61/16.01  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t80 @t52 (= @t78 @t51) (= (tptp.tl @t1) @t53)) @t48))))))
% 15.61/16.01  (assume @p78 (forall @t9 (=> @t17 (=> @t52 (= (tptp.cons @t51 @t53) @t2)))))
% 15.61/16.01  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t54) @t82))))))))
% 15.61/16.01  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t55) @t82))))))))
% 15.61/16.01  (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t46 (tptp.app @t18 @t2)))))))
% 15.61/16.01  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t54 @t12) (tptp.app @t2 @t25)))))))))
% 15.61/16.01  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t54) (and @t79 @t50)))))))
% 15.61/16.01  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 15.61/16.01  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t52 (= (tptp.hd @t54) @t51)))))))
% 15.61/16.01  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t52 (= (tptp.tl @t54) (tptp.app @t53 @t1))))))))
% 15.61/16.01  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 (tptp.geq @t1 @t2)) @t3))))))
% 15.61/16.01  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t58 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 15.61/16.01  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 15.61/16.01  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 15.61/16.01  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t57 @t41) @t61))))))))
% 15.61/16.01  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (or @t3 @t60)))))))
% 15.61/16.01  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 (and @t4 @t57)))))))
% 15.61/16.01  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (not (tptp.gt @t1 @t2))))))))
% 15.61/16.01  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t62 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 15.61/16.01  (assume @p96 @t130)
% 15.61/16.01  (assume @p97 true)
% 15.61/16.01  (step @p98 :rule aci_norm :args ((= @t137 @t135)))
% 15.61/16.01  (step @p99 :rule cong :premises (@p98) :args (@t139))
% 15.61/16.01  (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t141) @t139)))
% 15.61/16.01  (step @p101 :rule alpha_equiv :args (@t142 (@list @t131) (@list @t1)))
% 15.61/16.01  (step @p102 :rule refl :args (@t134))
% 15.61/16.01  (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t143))
% 15.61/16.01  (step @p104 :rule quant-miniscope-or :args ((= @t141 @t143)))
% 15.61/16.01  (step @p105 :rule trans :premises (@p104 @p103))
% 15.61/16.01  (step @p106 :rule symm :premises (@p105))
% 15.61/16.01  (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t134 @t145))))
% 15.61/16.01  (step @p108 :rule trans :premises (@p107 @p100))
% 15.61/16.01  (step @p109 :rule trans :premises (@p108 @p99))
% 15.61/16.01  (step @p110 :rule bool-impl-elim :args (@t17 @t145))
% 15.61/16.01  (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t145))))
% 15.61/16.01  (step @p112 :rule trans :premises (@p111 @p109))
% 15.61/16.01  (step @p113 :rule bool-impl-elim :args (@t27 @t5))
% 15.61/16.01  (step @p114 :rule cong :premises (@p113) :args (@t43))
% 15.61/16.01  (step @p115 :rule refl :args (@t17))
% 15.61/16.01  (step @p116 :rule cong :premises (@p115 @p114) :args (@t44))
% 15.61/16.01  (step @p117 :rule cong :premises (@p116) :args (@t45))
% 15.61/16.01  (step @p118 :rule trans :premises (@p117 @p112))
% 15.61/16.01  (step @p119 :rule eq_resolve :premises (@p15 @p118))
% 15.61/16.01  (step @p120 :rule eq-symm :args (@t159 tptp.nil))
% 15.61/16.01  (step @p121 :rule cong :premises (@p120) :args (@t160))
% 15.61/16.01  (step @p122 :rule refl :args (@t161))
% 15.61/16.01  (step @p123 :rule cong :premises (@p122 @p121) :args (@t162))
% 15.61/16.01  (step @p124 :rule refl :args (@t163))
% 15.61/16.01  (step @p125 :rule refl :args (@t165))
% 15.61/16.01  (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args (@t166))
% 15.61/16.01  (step @p127 :rule refl :args (@t167))
% 15.61/16.01  (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t167 @t166)))
% 15.61/16.01  (assume-push @p708 @t167)
% 15.61/16.01  (step @p130 :rule instantiate :premises (@p119) :args ((@list @t159 tptp.nil)))
% 15.61/16.01  (step-pop @p709 :rule scope :premises (@p130))
% 15.61/16.01  (step @p131 :rule process_scope :premises (@p709) :args (@t166))
% 15.61/16.01  (step @p133 :rule eq_resolve :premises (@p131 @p128))
% 15.61/16.01  (step @p134 :rule implies_elim :premises (@p133))
% 15.61/16.01  (step @p135 :rule chain_m_resolution :premises (@p134 @p119) :args (@t171 @t172 (@list @t167)))
% 15.61/16.01  (step @p136 :rule refl :args (@t146))
% 15.61/16.01  (step @p137 :rule eq-symm :args (@t147 tptp.nil))
% 15.61/16.01  (step @p138 :rule cong :premises (@p137) :args (@t173))
% 15.61/16.01  (step @p139 :rule nary_cong :premises (@p138 @p136) :args (@t174))
% 15.61/16.01  (step @p140 :rule refl :args (@t153))
% 15.61/16.01  (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t175))
% 15.61/16.01  (step @p142 :rule refl :args (@t154))
% 15.61/16.01  (step @p143 :rule refl :args (@t155))
% 15.61/16.01  (step @p144 :rule refl :args (@t156))
% 15.61/16.01  (step @p145 :rule refl :args (@t134))
% 15.61/16.01  (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142 @p141) :args (@t176))
% 15.61/16.01  (step @p147 :rule aci_norm :args ((= @t178 @t176)))
% 15.61/16.01  (step @p148 :rule trans :premises (@p147 @p146))
% 15.61/16.01  (step @p149 :rule cong :premises (@p148) :args (@t179))
% 15.61/16.01  (step @p150 :rule quant-merge-prenex :args ((= (forall @t9 @t181) @t179)))
% 15.61/16.01  (step @p151 :rule alpha_equiv :args (@t182 (@list @t147 @t148 @t151 @t149) (@list @t1 @t185 @t184 @t183)))
% 15.61/16.01  (step @p152 :rule nary_cong :premises (@p102 @p151) :args (@t186))
% 15.61/16.01  (step @p153 :rule quant-miniscope-or :args ((= @t181 @t186)))
% 15.61/16.01  (step @p154 :rule trans :premises (@p153 @p152))
% 15.61/16.01  (step @p155 :rule symm :premises (@p154))
% 15.61/16.01  (step @p156 :rule cong :premises (@p155) :args ((forall @t9 @t193)))
% 15.61/16.01  (step @p157 :rule trans :premises (@p156 @p150))
% 15.61/16.01  (step @p158 :rule trans :premises (@p157 @p149))
% 15.61/16.01  (step @p159 :rule aci_norm :args ((= (or @t134 @t193) @t193)))
% 15.61/16.01  (step @p160 :rule bool-impl-elim :args (@t17 @t193))
% 15.61/16.01  (step @p161 :rule trans :premises (@p160 @p159))
% 15.61/16.01  (step @p162 :rule cong :premises (@p161) :args ((forall @t9 (=> @t17 @t193))))
% 15.61/16.01  (step @p163 :rule trans :premises (@p162 @p158))
% 15.61/16.01  (step @p164 :rule quant-merge-prenex :args ((= (forall @t7 @t195) @t192)))
% 15.61/16.01  (step @p165 :rule quant-unused-vars :args ((= @t196 @t188)))
% 15.61/16.01  (step @p166 :rule alpha_equiv :args (@t197 (@list @t185 @t184 @t183) @t201))
% 15.61/16.01  (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t202))
% 15.61/16.01  (step @p168 :rule quant-miniscope-and :args ((= @t203 @t202)))
% 15.61/16.01  (step @p169 :rule trans :premises (@p168 @p167))
% 15.61/16.01  (step @p170 :rule refl :args (@t83))
% 15.61/16.01  (step @p171 :rule refl :args (@t118))
% 15.61/16.01  (step @p172 :rule refl :args (@t144))
% 15.61/16.01  (step @p173 :rule nary_cong :premises (@p172 @p171 @p170 @p169) :args (@t204))
% 15.61/16.01  (step @p174 :rule quant-miniscope-or :args ((= @t195 @t204)))
% 15.61/16.01  (step @p175 :rule trans :premises (@p174 @p173))
% 15.61/16.01  (step @p176 :rule symm :premises (@p175))
% 15.61/16.01  (step @p177 :rule cong :premises (@p176) :args (@t207))
% 15.61/16.01  (step @p178 :rule trans :premises (@p177 @p164))
% 15.61/16.01  (step @p179 :rule nary_cong :premises (@p145 @p178) :args (@t208))
% 15.61/16.01  (step @p180 :rule quant-miniscope-or :args ((= (forall @t7 @t209) @t208)))
% 15.61/16.01  (step @p181 :rule aci_norm :args ((= @t210 @t209)))
% 15.61/16.01  (step @p182 :rule cong :premises (@p181) :args ((forall @t7 @t210)))
% 15.61/16.01  (step @p183 :rule trans :premises (@p182 @p180))
% 15.61/16.01  (step @p184 :rule trans :premises (@p183 @p179))
% 15.61/16.01  (step @p185 :rule aci_norm :args ((= (or @t144 @t211) @t210)))
% 15.61/16.01  (step @p186 :rule bool-impl-elim :args (@t27 @t211))
% 15.61/16.01  (step @p187 :rule trans :premises (@p186 @p185))
% 15.61/16.01  (step @p188 :rule cong :premises (@p187) :args ((forall @t7 (=> @t27 @t211))))
% 15.61/16.01  (step @p189 :rule trans :premises (@p188 @p184))
% 15.61/16.01  (step @p190 :rule aci_norm :args ((= (or @t118 @t83 @t144 (or @t134 @t205)) @t211)))
% 15.61/16.01  (step @p191 :rule quant-unused-vars :args ((= @t216 @t188)))
% 15.61/16.01  (step @p192 :rule alpha_equiv :args (@t224 @t225 @t201))
% 15.61/16.01  (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t226))
% 15.61/16.01  (step @p194 :rule quant-miniscope-and :args ((= @t228 @t226)))
% 15.61/16.01  (step @p195 :rule trans :premises (@p194 @p193))
% 15.61/16.01  (step @p196 :rule nary_cong :premises (@p145 @p195) :args (@t229))
% 15.61/16.01  (step @p197 :rule quant-miniscope-or :args ((= (forall @t215 @t230) @t229)))
% 15.61/16.01  (step @p198 :rule trans :premises (@p197 @p196))
% 15.61/16.01  (step @p199 :rule aci_norm :args ((= (or @t134 false @t227) @t230)))
% 15.61/16.01  (step @p200 :rule refl :args (@t227))
% 15.61/16.01  (step @p201 :rule evaluate :args ((not true)))
% 15.61/16.01  (step @p202 :rule eq-refl :args (@t2))
% 15.61/16.01  (step @p203 :rule cong :premises (@p202) :args (@t231))
% 15.61/16.01  (step @p204 :rule trans :premises (@p203 @p201))
% 15.61/16.01  (step @p205 :rule nary_cong :premises (@p145 @p204 @p200) :args (@t232))
% 15.61/16.01  (step @p206 :rule trans :premises (@p205 @p199))
% 15.61/16.01  (step @p207 :rule cong :premises (@p206) :args ((forall @t215 @t232)))
% 15.61/16.01  (step @p208 :rule trans :premises (@p207 @p198))
% 15.61/16.01  (step @p209 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t82) @t237 @t119 @t236)) @t232)))
% 15.61/16.01  (step @p210 :rule refl :args (@t236))
% 15.61/16.01  (step @p211 :rule refl :args (@t119))
% 15.61/16.01  (step @p212 :rule refl :args (@t237))
% 15.61/16.01  (step @p213 :rule eq-symm :args (@t2 @t12))
% 15.61/16.01  (step @p214 :rule cong :premises (@p213) :args (@t119))
% 15.61/16.01  (step @p215 :rule nary_cong :premises (@p214 @p212 @p211 @p210) :args (@t238))
% 15.61/16.01  (step @p216 :rule aci_norm :args ((= @t239 @t238)))
% 15.61/16.01  (step @p217 :rule trans :premises (@p216 @p215))
% 15.61/16.01  (step @p218 :rule cong :premises (@p217) :args (@t240))
% 15.61/16.01  (step @p219 :rule trans :premises (@p218 @p209))
% 15.61/16.01  (step @p220 :rule cong :premises (@p219) :args (@t241))
% 15.61/16.01  (step @p221 :rule quant-merge-prenex :args ((= @t241 @t242)))
% 15.61/16.01  (step @p222 :rule symm :premises (@p221))
% 15.61/16.01  (step @p223 :rule quant_var_reordering :args ((= @t243 @t242)))
% 15.61/16.01  (step @p224 :rule trans :premises (@p223 @p222 @p220))
% 15.61/16.01  (step @p225 :rule trans :premises (@p224 @p208))
% 15.61/16.01  (step @p226 :rule quant-merge-prenex :args ((= (forall @t16 @t244) @t243)))
% 15.61/16.01  (step @p227 :rule quant-unused-vars :args ((= @t245 @t234)))
% 15.61/16.01  (step @p228 :rule alpha_equiv :args (@t246 @t225 @t250))
% 15.61/16.01  (step @p229 :rule nary_cong :premises (@p228 @p227) :args (@t251))
% 15.61/16.01  (step @p230 :rule quant-miniscope-and :args ((= @t252 @t251)))
% 15.61/16.01  (step @p231 :rule trans :premises (@p230 @p229))
% 15.61/16.01  (step @p232 :rule nary_cong :premises (@p212 @p211 @p231) :args (@t253))
% 15.61/16.01  (step @p233 :rule quant-miniscope-or :args ((= @t244 @t253)))
% 15.61/16.01  (step @p234 :rule trans :premises (@p233 @p232))
% 15.61/16.01  (step @p235 :rule symm :premises (@p234))
% 15.61/16.01  (step @p236 :rule cong :premises (@p235) :args (@t256))
% 15.61/16.01  (step @p237 :rule trans :premises (@p236 @p226))
% 15.61/16.01  (step @p238 :rule trans :premises (@p237 @p225))
% 15.61/16.01  (step @p239 :rule refl :args (@t144))
% 15.61/16.01  (step @p240 :rule refl :args (@t83))
% 15.61/16.01  (step @p241 :rule refl :args (@t118))
% 15.61/16.01  (step @p242 :rule nary_cong :premises (@p241 @p240 @p239 @p238) :args (@t257))
% 15.61/16.01  (step @p243 :rule trans :premises (@p242 @p190))
% 15.61/16.01  (step @p244 :rule quant-miniscope-or :args ((= (forall @t16 @t258) @t257)))
% 15.61/16.01  (step @p245 :rule aci_norm :args ((= @t259 @t258)))
% 15.61/16.01  (step @p246 :rule cong :premises (@p245) :args ((forall @t16 @t259)))
% 15.61/16.01  (step @p247 :rule trans :premises (@p246 @p244))
% 15.61/16.01  (step @p248 :rule trans :premises (@p247 @p243))
% 15.61/16.01  (step @p249 :rule aci_norm :args ((= (or @t237 @t260) @t259)))
% 15.61/16.01  (step @p250 :rule bool-impl-elim :args (@t15 @t260))
% 15.61/16.01  (step @p251 :rule trans :premises (@p250 @p249))
% 15.61/16.01  (step @p252 :rule cong :premises (@p251) :args ((forall @t16 (=> @t15 @t260))))
% 15.61/16.01  (step @p253 :rule trans :premises (@p252 @p248))
% 15.61/16.01  (step @p254 :rule aci_norm :args ((= (or @t119 @t118 @t83 (or @t144 @t254)) @t260)))
% 15.61/16.01  (step @p255 :rule quant-unused-vars :args ((= @t265 @t234)))
% 15.61/16.01  (step @p256 :rule alpha_equiv :args (@t274 @t275 @t250))
% 15.61/16.01  (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t276))
% 15.61/16.01  (step @p258 :rule quant-miniscope-and :args ((= @t278 @t276)))
% 15.61/16.01  (step @p259 :rule trans :premises (@p258 @p257))
% 15.61/16.01  (step @p260 :rule nary_cong :premises (@p239 @p259) :args (@t279))
% 15.61/16.01  (step @p261 :rule quant-miniscope-or :args ((= (forall @t264 @t280) @t279)))
% 15.61/16.01  (step @p262 :rule trans :premises (@p261 @p260))
% 15.61/16.01  (step @p263 :rule aci_norm :args ((= (or @t144 false @t277) @t280)))
% 15.61/16.01  (step @p264 :rule refl :args (@t277))
% 15.61/16.01  (step @p265 :rule eq-refl :args (@t1))
% 15.61/16.01  (step @p266 :rule cong :premises (@p265) :args (@t281))
% 15.61/16.01  (step @p267 :rule trans :premises (@p266 @p201))
% 15.61/16.01  (step @p268 :rule nary_cong :premises (@p239 @p267 @p264) :args (@t282))
% 15.61/16.01  (step @p269 :rule trans :premises (@p268 @p263))
% 15.61/16.01  (step @p270 :rule cong :premises (@p269) :args ((forall @t264 @t282)))
% 15.61/16.01  (step @p271 :rule trans :premises (@p270 @p262))
% 15.61/16.01  (step @p272 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t286 @t120 @t285)) @t282)))
% 15.61/16.01  (step @p273 :rule refl :args (@t285))
% 15.61/16.01  (step @p274 :rule refl :args (@t120))
% 15.61/16.01  (step @p275 :rule refl :args (@t286))
% 15.61/16.01  (step @p276 :rule eq-symm :args (@t1 @t10))
% 15.61/16.01  (step @p277 :rule cong :premises (@p276) :args (@t120))
% 15.61/16.01  (step @p278 :rule nary_cong :premises (@p277 @p275 @p274 @p273) :args (@t287))
% 15.61/16.01  (step @p279 :rule aci_norm :args ((= @t288 @t287)))
% 15.61/16.01  (step @p280 :rule trans :premises (@p279 @p278))
% 15.61/16.01  (step @p281 :rule cong :premises (@p280) :args (@t289))
% 15.61/16.01  (step @p282 :rule trans :premises (@p281 @p272))
% 15.61/16.01  (step @p283 :rule cong :premises (@p282) :args (@t290))
% 15.61/16.01  (step @p284 :rule quant-merge-prenex :args ((= @t290 @t291)))
% 15.61/16.01  (step @p285 :rule symm :premises (@p284))
% 15.61/16.01  (step @p286 :rule quant_var_reordering :args ((= @t292 @t291)))
% 15.61/16.01  (step @p287 :rule trans :premises (@p286 @p285 @p283))
% 15.61/16.01  (step @p288 :rule trans :premises (@p287 @p271))
% 15.61/16.01  (step @p289 :rule quant-merge-prenex :args ((= (forall @t14 @t293) @t292)))
% 15.61/16.01  (step @p290 :rule quant-unused-vars :args ((= @t294 @t283)))
% 15.61/16.01  (step @p291 :rule alpha_equiv :args (@t295 @t275 (@list @t34 @t297 @t296)))
% 15.61/16.01  (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t298))
% 15.61/16.01  (step @p293 :rule quant-miniscope-and :args ((= @t299 @t298)))
% 15.61/16.01  (step @p294 :rule trans :premises (@p293 @p292))
% 15.61/16.01  (step @p295 :rule nary_cong :premises (@p275 @p274 @p294) :args (@t300))
% 15.61/16.01  (step @p296 :rule quant-miniscope-or :args ((= @t293 @t300)))
% 15.61/16.01  (step @p297 :rule trans :premises (@p296 @p295))
% 15.61/16.01  (step @p298 :rule symm :premises (@p297))
% 15.61/16.01  (step @p299 :rule cong :premises (@p298) :args (@t314))
% 15.61/16.01  (step @p300 :rule trans :premises (@p299 @p289))
% 15.61/16.01  (step @p301 :rule trans :premises (@p300 @p288))
% 15.61/16.01  (step @p302 :rule refl :args (@t119))
% 15.61/16.01  (step @p303 :rule nary_cong :premises (@p302 @p241 @p240 @p301) :args (@t315))
% 15.61/16.01  (step @p304 :rule trans :premises (@p303 @p254))
% 15.61/16.01  (step @p305 :rule quant-miniscope-or :args ((= (forall @t14 @t316) @t315)))
% 15.61/16.01  (step @p306 :rule aci_norm :args ((= @t317 @t316)))
% 15.61/16.01  (step @p307 :rule cong :premises (@p306) :args ((forall @t14 @t317)))
% 15.61/16.01  (step @p308 :rule trans :premises (@p307 @p305))
% 15.61/16.01  (step @p309 :rule trans :premises (@p308 @p304))
% 15.61/16.01  (step @p310 :rule aci_norm :args ((= (or @t286 @t318) @t317)))
% 15.61/16.01  (step @p311 :rule bool-impl-elim :args (@t13 @t318))
% 15.61/16.01  (step @p312 :rule trans :premises (@p311 @p310))
% 15.61/16.01  (step @p313 :rule cong :premises (@p312) :args ((forall @t14 (=> @t13 @t318))))
% 15.61/16.01  (step @p314 :rule trans :premises (@p313 @p309))
% 15.61/16.01  (step @p315 :rule eq-symm :args (tptp.nil @t12))
% 15.61/16.01  (step @p316 :rule cong :premises (@p315) :args (@t84))
% 15.61/16.01  (step @p317 :rule eq-symm :args (tptp.nil @t10))
% 15.61/16.01  (step @p318 :rule cong :premises (@p317) :args (@t85))
% 15.61/16.01  (step @p319 :rule nary_cong :premises (@p318 @p316) :args (@t86))
% 15.61/16.01  (step @p320 :rule aci_norm :args ((= @t320 @t310)))
% 15.61/16.01  (step @p321 :rule cong :premises (@p320) :args (@t321))
% 15.61/16.01  (step @p322 :rule quant-merge-prenex :args ((= (forall @t39 @t323) @t321)))
% 15.61/16.01  (step @p323 :rule alpha_equiv :args (@t324 (@list @t297 @t296) (@list @t33 @t325)))
% 15.61/16.01  (step @p324 :rule refl :args (@t308))
% 15.61/16.01  (step @p325 :rule refl :args (@t309))
% 15.61/16.01  (step @p326 :rule nary_cong :premises (@p325 @p324 @p323) :args (@t326))
% 15.61/16.01  (step @p327 :rule quant-miniscope-or :args ((= @t323 @t326)))
% 15.61/16.01  (step @p328 :rule trans :premises (@p327 @p326))
% 15.61/16.01  (step @p329 :rule symm :premises (@p328))
% 15.61/16.01  (step @p330 :rule cong :premises (@p329) :args ((forall @t39 @t337)))
% 15.61/16.01  (step @p331 :rule trans :premises (@p330 @p322))
% 15.61/16.01  (step @p332 :rule trans :premises (@p331 @p321))
% 15.61/16.01  (step @p333 :rule aci_norm :args ((= (or @t309 @t338) @t337)))
% 15.61/16.01  (step @p334 :rule bool-impl-elim :args (@t114 @t338))
% 15.61/16.01  (step @p335 :rule trans :premises (@p334 @p333))
% 15.61/16.01  (step @p336 :rule cong :premises (@p335) :args ((forall @t39 (=> @t114 @t338))))
% 15.61/16.01  (step @p337 :rule trans :premises (@p336 @p332))
% 15.61/16.01  (step @p338 :rule aci_norm :args ((= @t340 @t334)))
% 15.61/16.01  (step @p339 :rule cong :premises (@p338) :args (@t341))
% 15.61/16.01  (step @p340 :rule quant-merge-prenex :args ((= (forall @t37 @t343) @t341)))
% 15.61/16.01  (step @p341 :rule alpha_equiv :args (@t344 (@list @t325) (@list @t89)))
% 15.61/16.01  (step @p342 :rule refl :args (@t332))
% 15.61/16.01  (step @p343 :rule refl :args (@t333))
% 15.61/16.01  (step @p344 :rule nary_cong :premises (@p343 @p342 @p341) :args (@t345))
% 15.61/16.01  (step @p345 :rule quant-miniscope-or :args ((= @t343 @t345)))
% 15.61/16.01  (step @p346 :rule trans :premises (@p345 @p344))
% 15.61/16.01  (step @p347 :rule symm :premises (@p346))
% 15.61/16.01  (step @p348 :rule cong :premises (@p347) :args (@t354))
% 15.61/16.01  (step @p349 :rule trans :premises (@p348 @p340))
% 15.61/16.01  (step @p350 :rule trans :premises (@p349 @p339))
% 15.61/16.01  (step @p351 :rule refl :args (@t308))
% 15.61/16.01  (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t355))
% 15.61/16.01  (step @p353 :rule quant-miniscope-or :args ((= (forall @t37 @t356) @t355)))
% 15.61/16.01  (step @p354 :rule aci_norm :args ((= @t357 @t356)))
% 15.61/16.01  (step @p355 :rule cong :premises (@p354) :args ((forall @t37 @t357)))
% 15.61/16.01  (step @p356 :rule trans :premises (@p355 @p353))
% 15.61/16.01  (step @p357 :rule trans :premises (@p356 @p352))
% 15.61/16.01  (step @p358 :rule aci_norm :args ((= (or @t333 @t358) @t357)))
% 15.61/16.01  (step @p359 :rule bool-impl-elim :args (@t36 @t358))
% 15.61/16.01  (step @p360 :rule trans :premises (@p359 @p358))
% 15.61/16.01  (step @p361 :rule cong :premises (@p360) :args ((forall @t37 (=> @t36 @t358))))
% 15.61/16.01  (step @p362 :rule trans :premises (@p361 @p357))
% 15.61/16.01  (step @p363 :rule quant-miniscope-or :args ((= (forall @t110 @t359) @t358)))
% 15.61/16.01  (step @p364 :rule aci_norm :args ((= @t360 @t359)))
% 15.61/16.01  (step @p365 :rule cong :premises (@p364) :args ((forall @t110 @t360)))
% 15.61/16.01  (step @p366 :rule trans :premises (@p365 @p363))
% 15.61/16.01  (step @p367 :rule aci_norm :args ((= (or @t350 @t361) @t360)))
% 15.61/16.01  (step @p368 :rule bool-impl-elim :args (@t108 @t361))
% 15.61/16.01  (step @p369 :rule trans :premises (@p368 @p367))
% 15.61/16.01  (step @p370 :rule cong :premises (@p369) :args ((forall @t110 (=> @t108 @t361))))
% 15.61/16.01  (step @p371 :rule trans :premises (@p370 @p366))
% 15.61/16.01  (step @p372 :rule aci_norm :args ((= (or @t150 (or @t346 @t301)) @t347)))
% 15.61/16.01  (step @p373 :rule bool-and-de-morgan :args (@t90 @t88 true))
% 15.61/16.01  (step @p374 :rule refl :args (@t150))
% 15.61/16.01  (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t150 (not (and @t90 @t88)))))
% 15.61/16.01  (step @p376 :rule bool-and-de-morgan :args (@t91 @t90 (and @t88)))
% 15.61/16.01  (step @p377 :rule trans :premises (@p376 @p375))
% 15.61/16.01  (step @p378 :rule trans :premises (@p377 @p372))
% 15.61/16.01  (step @p379 :rule cong :premises (@p378) :args (@t362))
% 15.61/16.01  (step @p380 :rule cong :premises (@p379) :args (@t363))
% 15.61/16.01  (step @p381 :rule exists-elim :args ((= @t94 @t363)))
% 15.61/16.01  (step @p382 :rule trans :premises (@p381 @p380))
% 15.61/16.01  (step @p383 :rule aci_norm :args ((= (or @t152 (or @t330 @t305)) @t331)))
% 15.61/16.01  (step @p384 :rule bool-and-de-morgan :args (@t97 @t96 true))
% 15.61/16.01  (step @p385 :rule refl :args (@t152))
% 15.61/16.01  (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t152 (not (and @t97 @t96)))))
% 15.61/16.01  (step @p387 :rule bool-and-de-morgan :args (@t98 @t97 (and @t96)))
% 15.61/16.01  (step @p388 :rule trans :premises (@p387 @p386))
% 15.61/16.01  (step @p389 :rule trans :premises (@p388 @p383))
% 15.61/16.01  (step @p390 :rule cong :premises (@p389) :args (@t364))
% 15.61/16.01  (step @p391 :rule cong :premises (@p390) :args (@t365))
% 15.61/16.01  (step @p392 :rule exists-elim :args ((= @t101 @t365)))
% 15.61/16.01  (step @p393 :rule trans :premises (@p392 @p391))
% 15.61/16.01  (step @p394 :rule eq-symm :args (@t103 @t10))
% 15.61/16.01  (step @p395 :rule cong :premises (@p394) :args (@t104))
% 15.61/16.01  (step @p396 :rule eq-symm :args (@t105 @t12))
% 15.61/16.01  (step @p397 :rule cong :premises (@p396) :args (@t106))
% 15.61/16.01  (step @p398 :rule nary_cong :premises (@p397 @p395 @p393 @p382) :args (@t107))
% 15.61/16.01  (step @p399 :rule refl :args (@t108))
% 15.61/16.01  (step @p400 :rule cong :premises (@p399 @p398) :args (@t109))
% 15.61/16.01  (step @p401 :rule cong :premises (@p400) :args (@t111))
% 15.61/16.01  (step @p402 :rule trans :premises (@p401 @p371))
% 15.61/16.01  (step @p403 :rule refl :args (@t36))
% 15.61/16.01  (step @p404 :rule cong :premises (@p403 @p402) :args (@t112))
% 15.61/16.01  (step @p405 :rule cong :premises (@p404) :args (@t113))
% 15.61/16.01  (step @p406 :rule trans :premises (@p405 @p362))
% 15.61/16.01  (step @p407 :rule refl :args (@t114))
% 15.61/16.01  (step @p408 :rule cong :premises (@p407 @p406) :args (@t115))
% 15.61/16.01  (step @p409 :rule cong :premises (@p408) :args (@t116))
% 15.61/16.01  (step @p410 :rule trans :premises (@p409 @p337))
% 15.61/16.01  (step @p411 :rule nary_cong :premises (@p410 @p319) :args (@t117))
% 15.61/16.01  (step @p412 :rule refl :args (@t120))
% 15.61/16.01  (step @p413 :rule nary_cong :premises (@p412 @p302 @p241 @p411 @p240) :args (@t121))
% 15.61/16.01  (step @p414 :rule refl :args (@t13))
% 15.61/16.01  (step @p415 :rule cong :premises (@p414 @p413) :args (@t122))
% 15.61/16.01  (step @p416 :rule cong :premises (@p415) :args (@t123))
% 15.61/16.01  (step @p417 :rule trans :premises (@p416 @p314))
% 15.61/16.01  (step @p418 :rule refl :args (@t15))
% 15.61/16.01  (step @p419 :rule cong :premises (@p418 @p417) :args (@t124))
% 15.61/16.01  (step @p420 :rule cong :premises (@p419) :args (@t125))
% 15.61/16.01  (step @p421 :rule trans :premises (@p420 @p253))
% 15.61/16.01  (step @p422 :rule refl :args (@t27))
% 15.61/16.01  (step @p423 :rule cong :premises (@p422 @p421) :args (@t126))
% 15.61/16.01  (step @p424 :rule cong :premises (@p423) :args (@t127))
% 15.61/16.01  (step @p425 :rule trans :premises (@p424 @p189))
% 15.61/16.01  (step @p426 :rule cong :premises (@p115 @p425) :args (@t128))
% 15.61/16.01  (step @p427 :rule cong :premises (@p426) :args (@t129))
% 15.61/16.01  (step @p428 :rule trans :premises (@p427 @p163))
% 15.61/16.01  (step @p429 :rule cong :premises (@p428) :args (@t130))
% 15.61/16.01  (step @p430 :rule eq_resolve :premises (@p96 @p429))
% 15.61/16.01  (step @p431 :rule refl :args (@t392))
% 15.61/16.01  (step @p432 :rule bool-double-not-elim :args (@t158))
% 15.61/16.01  (step @p433 :rule nary_cong :premises (@p432 @p431) :args ((or (not @t393) @t392)))
% 15.61/16.01  (step @p434 :rule eq-symm :args (@t366 tptp.nil))
% 15.61/16.01  (step @p435 :rule cong :premises (@p434) :args (@t394))
% 15.61/16.01  (step @p436 :rule refl :args (@t169))
% 15.61/16.01  (step @p437 :rule nary_cong :premises (@p436 @p435) :args (@t395))
% 15.61/16.01  (step @p438 :rule refl :args (@t383))
% 15.61/16.01  (step @p439 :rule nary_cong :premises (@p438 @p437) :args (@t396))
% 15.61/16.01  (step @p440 :rule refl :args (@t387))
% 15.61/16.01  (step @p441 :rule refl :args (@t388))
% 15.61/16.01  (step @p442 :rule refl :args (@t390))
% 15.61/16.01  (step @p443 :rule nary_cong :premises (@p442 @p125 @p441 @p440 @p439) :args (@t397))
% 15.61/16.01  (step @p444 :rule cong :premises (@p443) :args (@t398))
% 15.61/16.01  (step @p445 :rule refl :args (@t393))
% 15.61/16.01  (step @p446 :rule cong :premises (@p445 @p444) :args ((=> @t393 @t398)))
% 15.61/16.01  (assume-push @p710 @t393)
% 15.61/16.01  (step @p448 :rule skolemize :premises (@p430))
% 15.61/16.01  (step-pop @p711 :rule scope :premises (@p448))
% 15.61/16.01  (step @p449 :rule process_scope :premises (@p711) :args (@t398))
% 15.61/16.01  (step @p451 :rule eq_resolve :premises (@p449 @p446))
% 15.61/16.01  (step @p452 :rule implies_elim :premises (@p451))
% 15.61/16.01  (step @p453 :rule eq_resolve :premises (@p452 @p433))
% 15.61/16.01  (step @p454 :rule chain_m_resolution :premises (@p453 @p430) :args (@t392 @t399 (@list @t158)))
% 15.61/16.01  (step @p455 :rule bool-double-not-elim :args (@t164))
% 15.61/16.01  (step @p456 :rule refl :args (@t391))
% 15.61/16.01  (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or @t391 (not @t165))))
% 15.61/16.01  (step @p458 :rule cnf_or_neg :args (@t391 1))
% 15.61/16.01  (step @p459 :rule eq_resolve :premises (@p458 @p457))
% 15.61/16.01  (step @p460 :rule reordering :premises (@p459) :args ((or @t164 @t391)))
% 15.61/16.01  (step @p461 :rule chain_m_resolution :premises (@p460 @p454) :args (@t164 @t399 @t400))
% 15.61/16.01  (step @p462 :rule cnf_or_pos :args (@t171))
% 15.61/16.01  (step @p463 :rule reordering :premises (@p462) :args ((or @t163 @t165 @t170 (not @t171))))
% 15.61/16.01  (step @p464 :rule chain_m_resolution :premises (@p463 @p17 @p461 @p135) :args (@t170 (@list false false false) (@list @t47 @t164 @t171)))
% 15.61/16.01  (step @p465 :rule bool-double-not-elim :args (@t161))
% 15.61/16.01  (step @p466 :rule nary_cong :premises (@p456 @p465) :args ((or @t391 (not @t388))))
% 15.61/16.01  (step @p467 :rule cnf_or_neg :args (@t391 2))
% 15.61/16.01  (step @p468 :rule eq_resolve :premises (@p467 @p466))
% 15.61/16.01  (step @p469 :rule reordering :premises (@p468) :args ((or @t161 @t391)))
% 15.61/16.01  (step @p470 :rule chain_m_resolution :premises (@p469 @p454) :args (@t161 @t399 @t400))
% 15.61/16.01  (step @p471 :rule cnf_equiv_pos1 :args (@t170))
% 15.61/16.01  (step @p472 :rule reordering :premises (@p471) :args ((or @t388 @t169 (not @t170))))
% 15.61/16.01  (step @p473 :rule chain_m_resolution :premises (@p472 @p470 @p464) :args (@t169 @t401 (@list @t161 @t170)))
% 15.61/16.01  (step @p474 :rule bool-double-not-elim :args (@t168))
% 15.61/16.01  (step @p475 :rule refl :args (@t367))
% 15.61/16.01  (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or @t367 (not @t169))))
% 15.61/16.01  (step @p477 :rule cnf_or_neg :args (@t367 0))
% 15.61/16.01  (step @p478 :rule eq_resolve :premises (@p477 @p476))
% 15.61/16.01  (step @p479 :rule reordering :premises (@p478) :args ((or @t168 @t367)))
% 15.61/16.01  (step @p480 :rule chain_m_resolution :premises (@p479 @p473) :args (@t367 @t399 (@list @t168)))
% 15.61/16.01  (step @p481 :rule cnf_or_neg :args (@t391 4))
% 15.61/16.01  (step @p482 :rule chain_m_resolution :premises (@p481 @p454) :args ((not @t384) @t399 @t400))
% 15.61/16.01  (step @p483 :rule cnf_and_neg :args (@t384))
% 15.61/16.01  (step @p484 :rule chain_m_resolution :premises (@p483 @p482 @p480) :args ((not @t383) @t402 (@list @t384 @t367)))
% 15.61/16.01  (step @p485 :rule bool-double-not-elim :args (@t372))
% 15.61/16.01  (step @p486 :rule nary_cong :premises (@p438 @p485) :args ((or @t383 (not @t373))))
% 15.61/16.01  (step @p487 :rule cnf_or_neg :args (@t383 5))
% 15.61/16.01  (step @p488 :rule eq_resolve :premises (@p487 @p486))
% 15.61/16.01  (step @p489 :rule reordering :premises (@p488) :args ((or @t372 @t383)))
% 15.61/16.01  (step @p490 :rule chain_m_resolution :premises (@p489 @p484) :args (@t372 @t399 @t403))
% 15.61/16.01  (step @p491 :rule bool-impl-elim :args (@t17 @t406))
% 15.61/16.01  (step @p492 :rule cong :premises (@p491) :args ((forall @t9 (=> @t17 @t406))))
% 15.61/16.01  (step @p493 :rule bool-and-de-morgan :args (@t6 @t404 true))
% 15.61/16.01  (step @p494 :rule cong :premises (@p493) :args (@t408))
% 15.61/16.01  (step @p495 :rule cong :premises (@p494) :args (@t409))
% 15.61/16.01  (step @p496 :rule exists-elim :args ((= (exists @t7 @t407) @t409)))
% 15.61/16.01  (step @p497 :rule trans :premises (@p496 @p495))
% 15.61/16.01  (step @p498 :rule eq-symm :args (@t18 @t2))
% 15.61/16.01  (step @p499 :rule refl :args (@t6))
% 15.61/16.01  (step @p500 :rule nary_cong :premises (@p499 @p498) :args (@t19))
% 15.61/16.01  (step @p501 :rule cong :premises (@p500) :args (@t20))
% 15.61/16.01  (step @p502 :rule trans :premises (@p501 @p497))
% 15.61/16.01  (step @p503 :rule refl :args (@t21))
% 15.61/16.01  (step @p504 :rule cong :premises (@p503 @p502) :args (@t22))
% 15.61/16.01  (step @p505 :rule cong :premises (@p115 @p504) :args (@t23))
% 15.61/16.01  (step @p506 :rule cong :premises (@p505) :args (@t24))
% 15.61/16.01  (step @p507 :rule trans :premises (@p506 @p492))
% 15.61/16.01  (step @p508 :rule eq_resolve :premises (@p4 @p507))
% 15.61/16.01  (step @p509 :rule eq-symm :args (@t366 @t18))
% 15.61/16.01  (step @p510 :rule cong :premises (@p509) :args (@t410))
% 15.61/16.01  (step @p511 :rule refl :args (@t405))
% 15.61/16.01  (step @p512 :rule nary_cong :premises (@p511 @p510) :args (@t411))
% 15.61/16.01  (step @p513 :rule cong :premises (@p512) :args (@t412))
% 15.61/16.01  (step @p514 :rule cong :premises (@p513) :args (@t413))
% 15.61/16.01  (step @p515 :rule refl :args (@t386))
% 15.61/16.01  (step @p516 :rule cong :premises (@p515 @p514) :args (@t414))
% 15.61/16.01  (step @p517 :rule nary_cong :premises (@p442 @p516) :args (@t415))
% 15.61/16.01  (step @p518 :rule refl :args (@t416))
% 15.61/16.01  (step @p519 :rule cong :premises (@p518 @p517) :args ((=> @t416 @t415)))
% 15.61/16.01  (assume-push @p712 @t416)
% 15.61/16.01  (step @p521 :rule instantiate :premises (@p508) :args (@t417))
% 15.61/16.01  (step-pop @p713 :rule scope :premises (@p521))
% 15.61/16.01  (step @p522 :rule process_scope :premises (@p713) :args (@t415))
% 15.61/16.01  (step @p524 :rule eq_resolve :premises (@p522 @p519))
% 15.61/16.01  (step @p525 :rule implies_elim :premises (@p524))
% 15.61/16.01  (step @p526 :rule chain_m_resolution :premises (@p525 @p508) :args (@t421 @t172 (@list @t416)))
% 15.61/16.01  (step @p527 :rule bool-double-not-elim :args (@t389))
% 15.61/16.01  (step @p528 :rule nary_cong :premises (@p456 @p527) :args ((or @t391 (not @t390))))
% 15.61/16.01  (step @p529 :rule cnf_or_neg :args (@t391 0))
% 15.61/16.01  (step @p530 :rule eq_resolve :premises (@p529 @p528))
% 15.61/16.01  (step @p531 :rule reordering :premises (@p530) :args ((or @t389 @t391)))
% 15.61/16.01  (step @p532 :rule chain_m_resolution :premises (@p531 @p454) :args (@t389 @t399 @t400))
% 15.61/16.01  (step @p533 :rule cnf_or_pos :args (@t421))
% 15.61/16.01  (step @p534 :rule reordering :premises (@p533) :args ((or @t390 @t420 (not @t421))))
% 15.61/16.01  (step @p535 :rule chain_m_resolution :premises (@p534 @p532 @p526) :args (@t420 @t401 (@list @t389 @t421)))
% 15.61/16.01  (step @p536 :rule bool-double-not-elim :args (@t379))
% 15.61/16.01  (step @p537 :rule nary_cong :premises (@p438 @p536) :args ((or @t383 (not @t380))))
% 15.61/16.01  (step @p538 :rule cnf_or_neg :args (@t383 1))
% 15.61/16.01  (step @p539 :rule eq_resolve :premises (@p538 @p537))
% 15.61/16.01  (step @p540 :rule reordering :premises (@p539) :args ((or @t379 @t383)))
% 15.61/16.01  (step @p541 :rule chain_m_resolution :premises (@p540 @p484) :args (@t379 @t399 @t403))
% 15.61/16.01  (step @p542 :rule bool-double-not-elim :args (@t381))
% 15.61/16.01  (step @p543 :rule nary_cong :premises (@p438 @p542) :args ((or @t383 (not @t382))))
% 15.61/16.01  (step @p544 :rule cnf_or_neg :args (@t383 0))
% 15.61/16.01  (step @p545 :rule eq_resolve :premises (@p544 @p543))
% 15.61/16.01  (step @p546 :rule reordering :premises (@p545) :args ((or @t381 @t383)))
% 15.61/16.01  (step @p547 :rule chain_m_resolution :premises (@p546 @p484) :args (@t381 @t399 @t403))
% 15.61/16.01  (step @p548 :rule cnf_or_pos :args (@t422))
% 15.61/16.01  (step @p549 :rule reordering :premises (@p548) :args ((or @t382 @t380 @t423)))
% 15.61/16.01  (step @p550 :rule chain_m_resolution :premises (@p549 @p547 @p541) :args (@t423 @t401 (@list @t381 @t379)))
% 15.61/16.01  (step @p551 :rule eq-symm :args (@t378 @t366))
% 15.61/16.01  (step @p552 :rule cong :premises (@p551) :args (@t424))
% 15.61/16.01  (step @p553 :rule refl :args (@t382))
% 15.61/16.01  (step @p554 :rule nary_cong :premises (@p553 @p552) :args (@t425))
% 15.61/16.01  (step @p555 :rule refl :args (@t418))
% 15.61/16.01  (step @p556 :rule cong :premises (@p555 @p554) :args ((=> @t418 @t425)))
% 15.61/16.01  (assume-push @p714 @t418)
% 15.61/16.01  (step @p558 :rule instantiate :premises (@p714) :args ((@list @t368)))
% 15.61/16.01  (step-pop @p715 :rule scope :premises (@p558))
% 15.61/16.01  (step @p559 :rule process_scope :premises (@p715) :args (@t425))
% 15.61/16.01  (step @p561 :rule eq_resolve :premises (@p559 @p556))
% 15.61/16.01  (step @p562 :rule implies_elim :premises (@p561))
% 15.61/16.01  (step @p563 :rule chain_m_resolution :premises (@p562 @p550) :args (@t419 @t399 (@list @t422)))
% 15.61/16.01  (step @p564 :rule bool-double-not-elim :args (@t418))
% 15.61/16.01  (step @p565 :rule refl :args (@t426))
% 15.61/16.01  (step @p566 :rule nary_cong :premises (@p565 @p515 @p564) :args ((or @t426 @t386 (not @t419))))
% 15.61/16.01  (step @p567 :rule cnf_equiv_pos2 :args (@t420))
% 15.61/16.01  (step @p568 :rule eq_resolve :premises (@p567 @p566))
% 15.61/16.01  (step @p569 :rule reordering :premises (@p568) :args ((or @t386 @t418 @t426)))
% 15.61/16.01  (step @p570 :rule chain_m_resolution :premises (@p569 @p563 @p535) :args (@t386 @t402 (@list @t418 @t420)))
% 15.61/16.01  (step @p571 :rule cnf_or_neg :args (@t391 3))
% 15.61/16.01  (step @p572 :rule chain_m_resolution :premises (@p571 @p454) :args ((not @t387) @t399 @t400))
% 15.61/16.01  (step @p573 :rule cnf_and_neg :args (@t387))
% 15.61/16.01  (step @p574 :rule chain_m_resolution :premises (@p573 @p572 @p570) :args (@t427 @t402 (@list @t387 @t386)))
% 15.61/16.01  (step @p575 :rule aci_norm :args ((= @t437 (or @t134 @t435 @t434 @t433 @t432 @t431))))
% 15.61/16.01  (step @p576 :rule cong :premises (@p575) :args (@t438))
% 15.61/16.01  (step @p577 :rule quant-merge-prenex :args ((= (forall @t9 @t440) @t438)))
% 15.61/16.01  (step @p578 :rule alpha_equiv :args (@t441 (@list @t428 @t430 @t429) (@list @t1 @t443 @t442)))
% 15.61/16.01  (step @p579 :rule nary_cong :premises (@p102 @p578) :args (@t444))
% 15.61/16.01  (step @p580 :rule quant-miniscope-or :args ((= @t440 @t444)))
% 15.61/16.01  (step @p581 :rule trans :premises (@p580 @p579))
% 15.61/16.01  (step @p582 :rule symm :premises (@p581))
% 15.61/16.01  (step @p583 :rule cong :premises (@p582) :args ((forall @t9 (or @t134 @t451))))
% 15.61/16.01  (step @p584 :rule trans :premises (@p583 @p577))
% 15.61/16.01  (step @p585 :rule trans :premises (@p584 @p576))
% 15.61/16.01  (step @p586 :rule bool-impl-elim :args (@t17 @t451))
% 15.61/16.01  (step @p587 :rule cong :premises (@p586) :args ((forall @t9 (=> @t17 @t451))))
% 15.61/16.01  (step @p588 :rule trans :premises (@p587 @p585))
% 15.61/16.01  (step @p589 :rule aci_norm :args ((= @t453 @t449)))
% 15.61/16.01  (step @p590 :rule cong :premises (@p589) :args (@t454))
% 15.61/16.01  (step @p591 :rule quant-merge-prenex :args ((= (forall @t7 @t456) @t454)))
% 15.61/16.01  (step @p592 :rule alpha_equiv :args (@t457 (@list @t443 @t442) (@list @t12 @t458)))
% 15.61/16.01  (step @p593 :rule refl :args (@t448))
% 15.61/16.01  (step @p594 :rule nary_cong :premises (@p172 @p593 @p592) :args (@t459))
% 15.61/16.01  (step @p595 :rule quant-miniscope-or :args ((= @t456 @t459)))
% 15.61/16.01  (step @p596 :rule trans :premises (@p595 @p594))
% 15.61/16.01  (step @p597 :rule symm :premises (@p596))
% 15.61/16.01  (step @p598 :rule cong :premises (@p597) :args ((forall @t7 @t465)))
% 15.61/16.01  (step @p599 :rule trans :premises (@p598 @p591))
% 15.61/16.01  (step @p600 :rule trans :premises (@p599 @p590))
% 15.61/16.01  (step @p601 :rule aci_norm :args ((= (or @t144 @t466) @t465)))
% 15.61/16.01  (step @p602 :rule bool-impl-elim :args (@t27 @t466))
% 15.61/16.01  (step @p603 :rule trans :premises (@p602 @p601))
% 15.61/16.01  (step @p604 :rule cong :premises (@p603) :args ((forall @t7 (=> @t27 @t466))))
% 15.61/16.01  (step @p605 :rule trans :premises (@p604 @p600))
% 15.61/16.01  (step @p606 :rule aci_norm :args ((= @t468 @t462)))
% 15.61/16.01  (step @p607 :rule cong :premises (@p606) :args (@t469))
% 15.61/16.01  (step @p608 :rule quant-merge-prenex :args ((= (forall @t16 @t471) @t469)))
% 15.61/16.01  (step @p609 :rule alpha_equiv :args (@t472 (@list @t458) (@list @t10)))
% 15.61/16.01  (step @p610 :rule nary_cong :premises (@p212 @p609) :args (@t473))
% 15.61/16.01  (step @p611 :rule quant-miniscope-or :args ((= @t471 @t473)))
% 15.61/16.01  (step @p612 :rule trans :premises (@p611 @p610))
% 15.61/16.01  (step @p613 :rule symm :premises (@p612))
% 15.61/16.01  (step @p614 :rule cong :premises (@p613) :args (@t477))
% 15.61/16.01  (step @p615 :rule trans :premises (@p614 @p608))
% 15.61/16.01  (step @p616 :rule trans :premises (@p615 @p607))
% 15.61/16.01  (step @p617 :rule refl :args (@t448))
% 15.61/16.01  (step @p618 :rule nary_cong :premises (@p617 @p616) :args (@t478))
% 15.61/16.01  (step @p619 :rule quant-miniscope-or :args ((= (forall @t16 @t479) @t478)))
% 15.61/16.01  (step @p620 :rule aci_norm :args ((= @t480 @t479)))
% 15.61/16.01  (step @p621 :rule cong :premises (@p620) :args ((forall @t16 @t480)))
% 15.61/16.01  (step @p622 :rule trans :premises (@p621 @p619))
% 15.61/16.01  (step @p623 :rule trans :premises (@p622 @p618))
% 15.61/16.01  (step @p624 :rule aci_norm :args ((= (or @t237 @t481) @t480)))
% 15.61/16.01  (step @p625 :rule bool-impl-elim :args (@t15 @t481))
% 15.61/16.01  (step @p626 :rule trans :premises (@p625 @p624))
% 15.61/16.01  (step @p627 :rule cong :premises (@p626) :args ((forall @t16 (=> @t15 @t481))))
% 15.61/16.01  (step @p628 :rule trans :premises (@p627 @p623))
% 15.61/16.01  (step @p629 :rule quant-miniscope-or :args ((= (forall @t14 @t482) @t481)))
% 15.61/16.01  (step @p630 :rule aci_norm :args ((= @t483 @t482)))
% 15.61/16.01  (step @p631 :rule cong :premises (@p630) :args ((forall @t14 @t483)))
% 15.61/16.01  (step @p632 :rule trans :premises (@p631 @p629))
% 15.61/16.01  (step @p633 :rule aci_norm :args ((= (or @t286 (or @t448 @t68)) @t483)))
% 15.61/16.01  (step @p634 :rule bool-impl-elim :args (@t30 @t68))
% 15.61/16.01  (step @p635 :rule nary_cong :premises (@p275 @p634) :args ((or @t286 @t69)))
% 15.61/16.01  (step @p636 :rule trans :premises (@p635 @p633))
% 15.61/16.01  (step @p637 :rule bool-impl-elim :args (@t13 @t69))
% 15.61/16.01  (step @p638 :rule trans :premises (@p637 @p636))
% 15.61/16.01  (step @p639 :rule cong :premises (@p638) :args (@t70))
% 15.61/16.01  (step @p640 :rule trans :premises (@p639 @p632))
% 15.61/16.01  (step @p641 :rule cong :premises (@p418 @p640) :args (@t71))
% 15.61/16.01  (step @p642 :rule cong :premises (@p641) :args (@t72))
% 15.61/16.01  (step @p643 :rule trans :premises (@p642 @p628))
% 15.61/16.01  (step @p644 :rule cong :premises (@p422 @p643) :args (@t73))
% 15.61/16.01  (step @p645 :rule cong :premises (@p644) :args (@t74))
% 15.61/16.01  (step @p646 :rule trans :premises (@p645 @p605))
% 15.61/16.01  (step @p647 :rule cong :premises (@p115 @p646) :args (@t75))
% 15.61/16.01  (step @p648 :rule cong :premises (@p647) :args (@t76))
% 15.61/16.01  (step @p649 :rule trans :premises (@p648 @p588))
% 15.61/16.01  (step @p650 :rule eq_resolve :premises (@p56 @p649))
% 15.61/16.01  (step @p651 :rule instantiate :premises (@p650) :args ((@list @t366 @t366 @t370 @t369)))
% 15.61/16.01  (step @p652 :rule bool-impl-elim :args (@t17 @t66))
% 15.61/16.01  (step @p653 :rule cong :premises (@p652) :args (@t67))
% 15.61/16.01  (step @p654 :rule eq_resolve :premises (@p55 @p653))
% 15.61/16.01  (step @p655 :rule instantiate :premises (@p654) :args (@t417))
% 15.61/16.01  (step @p656 :rule cnf_or_pos :args (@t485))
% 15.61/16.01  (step @p657 :rule reordering :premises (@p656) :args ((or @t390 @t484 (not @t485))))
% 15.61/16.01  (step @p658 :rule chain_m_resolution :premises (@p657 @p532 @p655) :args (@t484 @t401 (@list @t389 @t485)))
% 15.61/16.01  (step @p659 :rule bool-double-not-elim :args (@t374))
% 15.61/16.01  (step @p660 :rule nary_cong :premises (@p438 @p659) :args ((or @t383 (not @t375))))
% 15.61/16.01  (step @p661 :rule cnf_or_neg :args (@t383 4))
% 15.61/16.01  (step @p662 :rule eq_resolve :premises (@p661 @p660))
% 15.61/16.01  (step @p663 :rule reordering :premises (@p662) :args ((or @t374 @t383)))
% 15.61/16.01  (step @p664 :rule chain_m_resolution :premises (@p663 @p484) :args (@t374 @t399 @t403))
% 15.61/16.01  (step @p665 :rule bool-double-not-elim :args (@t376))
% 15.61/16.01  (step @p666 :rule nary_cong :premises (@p438 @p665) :args ((or @t383 (not @t377))))
% 15.61/16.01  (step @p667 :rule cnf_or_neg :args (@t383 2))
% 15.61/16.01  (step @p668 :rule eq_resolve :premises (@p667 @p666))
% 15.61/16.01  (step @p669 :rule reordering :premises (@p668) :args ((or @t376 @t383)))
% 15.61/16.01  (step @p670 :rule chain_m_resolution :premises (@p669 @p484) :args (@t376 @t399 @t403))
% 15.61/16.01  (step @p671 :rule cnf_or_pos :args (@t488))
% 15.61/16.01  (step @p672 :rule factoring :premises (@p671))
% 15.61/16.01  (step @p673 :rule reordering :premises (@p672) :args ((or @t390 @t377 @t375 @t487 @t486 (not @t488))))
% 15.61/16.01  (step @p674 :rule chain_m_resolution :premises (@p673 @p532 @p670 @p664 @p658 @p651) :args (@t486 (@list false false false false false) (@list @t389 @t376 @t374 @t484 @t488)))
% 15.61/16.01  (step @p675 :rule refl :args (@t489))
% 15.61/16.01  (step @p676 :rule bool-double-not-elim :args (@t385))
% 15.61/16.01  (step @p677 :rule refl :args (@t373))
% 15.61/16.01  (step @p678 :rule nary_cong :premises (@p677 @p676 @p675) :args ((or @t373 (not @t427) @t489)))
% 15.61/16.01  (assume-push @p716 @t486)
% 15.61/16.01  (assume-push @p717 @t372)
% 15.61/16.01  (assume-push @p718 @t427)
% 15.61/16.01  (step @p682 :rule evaluate :args ((= false true)))
% 15.61/16.01  (step @p683 :rule true_intro :premises (@p674))
% 15.61/16.01  (step @p684 :rule refl :args (@t366))
% 15.61/16.01  (step @p685 :rule cong :premises (@p490 @p684) :args (@t385))
% 15.61/16.01  (step @p686 :rule false_intro :premises (@p718))
% 15.61/16.01  (step @p687 :rule symm :premises (@p686))
% 15.61/16.01  (step @p688 :rule trans :premises (@p687 @p685 @p683))
% 15.61/16.01  (step @p689 false :rule eq_resolve :premises (@p688 @p682))
% 15.61/16.01  (step-pop @p719 :rule scope :premises (@p689))
% 15.61/16.01  (step-pop @p720 :rule scope :premises (@p719))
% 15.61/16.01  (step-pop @p721 :rule scope :premises (@p720))
% 15.61/16.01  (step @p690 :rule process_scope :premises (@p721) :args (false))
% 15.61/16.01  (assume-push @p722 @t372)
% 15.61/16.01  (assume-push @p723 @t427)
% 15.61/16.01  (assume-push @p724 @t486)
% 15.61/16.01  (step @p697 :rule and_intro :premises (@p674 @p490 @p723))
% 15.61/16.01  (step-pop @p725 :rule scope :premises (@p697))
% 15.61/16.01  (step-pop @p726 :rule scope :premises (@p725))
% 15.61/16.01  (step-pop @p727 :rule scope :premises (@p726))
% 15.61/16.01  (step @p698 :rule process_scope :premises (@p727) :args (@t490))
% 15.61/16.01  (step @p702 :rule implies_elim :premises (@p698))
% 15.61/16.01  (step @p703 :rule resolution :premises (@p702 @p690) :args (true @t490))
% 15.61/16.01  (step @p704 :rule not_and :premises (@p703))
% 15.61/16.01  (step @p705 :rule eq_resolve :premises (@p704 @p678))
% 15.61/16.01  (step @p706 :rule reordering :premises (@p705) :args ((or @t385 @t373 @t489)))
% 15.61/16.01  (step @p707 false :rule chain_m_resolution :premises (@p706 @p674 @p574 @p490) :args (false (@list false true false) (@list @t486 @t385 @t372)))
% 15.61/16.01  )
% 15.61/16.01  % SZS output end Proof
% 15.61/16.01  % cvc5 exiting
%------------------------------------------------------------------------------