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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX185+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 09:07:18 AM UTC 2026

% Result   : Theorem 159.32s 159.52s
% Output   : Proof 159.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX185+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n005.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 23:03:48 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 159.32/159.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 159.32/159.52  --- Run --no-e-matching --full-saturate-quant at 6...
% 159.32/159.52  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 159.32/159.52  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 159.32/159.52  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 159.32/159.52  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 159.32/159.52  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 159.32/159.52  --- Run --multi-trigger-cache --full-saturate-quant at 15...
% 159.32/159.52  --- Run --prenex-quant=none --full-saturate-quant at 30...
% 159.32/159.52  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15...
% 159.32/159.52  % SZS status Theorem
% 159.32/159.52  % SZS output start Proof
% 159.32/159.52  (
% 159.32/159.52  (declare-sort $$unsorted 0)
% 159.32/159.52  (declare-const tptp.linTerm (-> $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.lin (-> $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.eY $$unsorted)
% 159.32/159.52  (declare-const tptp.eX $$unsorted)
% 159.32/159.52  (declare-const tptp.proj22 (-> $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.proj12 (-> $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.append (-> $$unsorted $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.x2 (-> $$unsorted $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.d $$unsorted)
% 159.32/159.52  (declare-const tptp.head (-> $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.assoc (-> $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.tail (-> $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.nil $$unsorted)
% 159.32/159.52  (declare-const tptp.c $$unsorted)
% 159.32/159.52  (declare-const tptp.x $$unsorted)
% 159.32/159.52  (declare-const tptp.plus $$unsorted)
% 159.32/159.52  (declare-const tptp.y $$unsorted)
% 159.32/159.52  (declare-const tptp.z (-> $$unsorted $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.proj1 (-> $$unsorted $$unsorted))
% 159.32/159.52  (declare-const tptp.mul $$unsorted)
% 159.32/159.52  (declare-const tptp.proj2 (-> $$unsorted $$unsorted))
% 159.32/159.52  (define @t1 () (@var "X" $$unsorted))
% 159.32/159.52  (define @t2 () (@var "X2" $$unsorted))
% 159.32/159.52  (define @t3 () (tptp.cons @t1 @t2))
% 159.32/159.52  (define @t4 () (@list @t1 @t2))
% 159.32/159.52  (define @t5 () (tptp.z @t1 @t2))
% 159.32/159.52  (define @t6 () (tptp.proj1 @t5))
% 159.32/159.52  (define @t7 () (forall @t4 (= @t6 @t1)))
% 159.32/159.52  (define @t8 () (tptp.x2 @t1 @t2))
% 159.32/159.52  (define @t9 () (tptp.proj12 @t8))
% 159.32/159.52  (define @t10 () (forall @t4 (= @t9 @t1)))
% 159.32/159.52  (define @t11 () (@var "X4" $$unsorted))
% 159.32/159.52  (define @t12 () (@var "X3" $$unsorted))
% 159.32/159.52  (define @t13 () (forall (@list @t1 @t2 @t12 @t11) (not (= @t5 (tptp.x2 @t12 @t11)))))
% 159.32/159.52  (define @t14 () (forall @t4 (not (= @t5 tptp.eX))))
% 159.32/159.52  (define @t15 () (forall @t4 (not (= @t5 tptp.eY))))
% 159.32/159.52  (define @t16 () (forall @t4 (not (= @t8 tptp.eX))))
% 159.32/159.52  (define @t17 () (forall @t4 (not (= @t8 tptp.eY))))
% 159.32/159.52  (define @t18 () (tptp.assoc @t1))
% 159.32/159.52  (define @t19 () (= @t1 (tptp.x2 (tptp.proj12 @t1) (tptp.proj22 @t1))))
% 159.32/159.52  (define @t20 () (not @t19))
% 159.32/159.52  (define @t21 () (=> @t20 (= @t18 @t1)))
% 159.32/159.52  (define @t22 () (= @t1 (tptp.z (tptp.proj1 @t1) (tptp.proj2 @t1))))
% 159.32/159.52  (define @t23 () (not @t22))
% 159.32/159.52  (define @t24 () (=> @t23 @t21))
% 159.32/159.52  (define @t25 () (@list @t1))
% 159.32/159.52  (define @t26 () (forall @t25 @t24))
% 159.32/159.52  (define @t27 () (@var "C" $$unsorted))
% 159.32/159.52  (define @t28 () (@var "Y" $$unsorted))
% 159.32/159.52  (define @t29 () (= (tptp.assoc (tptp.z @t28 @t27)) (tptp.z (tptp.assoc @t28) (tptp.assoc @t27))))
% 159.32/159.52  (define @t30 () (= @t28 (tptp.z (tptp.proj1 @t28) (tptp.proj2 @t28))))
% 159.32/159.52  (define @t31 () (not @t30))
% 159.32/159.52  (define @t32 () (forall (@list @t28 @t27) (=> @t31 @t29)))
% 159.32/159.52  (define @t33 () (@var "B" $$unsorted))
% 159.32/159.52  (define @t34 () (@var "A" $$unsorted))
% 159.32/159.52  (define @t35 () (tptp.z @t34 @t33))
% 159.32/159.52  (define @t36 () (@var "B2" $$unsorted))
% 159.32/159.52  (define @t37 () (@var "A2" $$unsorted))
% 159.32/159.52  (define @t38 () (tptp.append tptp.nil @t28))
% 159.32/159.52  (define @t39 () (forall (@list @t28) (= @t38 @t28)))
% 159.32/159.52  (define @t40 () (@var "Xs" $$unsorted))
% 159.32/159.52  (define @t41 () (@var "Z" $$unsorted))
% 159.32/159.52  (define @t42 () (= (tptp.linTerm @t1) (tptp.lin @t1)))
% 159.32/159.52  (define @t43 () (forall @t25 (=> @t20 @t42)))
% 159.32/159.52  (define @t44 () (tptp.cons tptp.d tptp.nil))
% 159.32/159.52  (define @t45 () (tptp.lin @t35))
% 159.32/159.52  (define @t46 () (tptp.cons tptp.c tptp.nil))
% 159.32/159.52  (define @t47 () (@list @t34 @t33))
% 159.32/159.52  (define @t48 () (tptp.cons tptp.plus tptp.nil))
% 159.32/159.52  (define @t49 () (@var "A3" $$unsorted))
% 159.32/159.52  (define @t50 () (tptp.cons tptp.x tptp.nil))
% 159.32/159.52  (define @t51 () (tptp.lin tptp.eX))
% 159.32/159.52  (define @t52 () (= @t51 @t50))
% 159.32/159.52  (define @t53 () (tptp.lin tptp.eY))
% 159.32/159.52  (define @t54 () (@var "V" $$unsorted))
% 159.32/159.52  (define @t55 () (@var "U" $$unsorted))
% 159.32/159.52  (define @t56 () (= (tptp.assoc @t55) (tptp.assoc @t54)))
% 159.32/159.52  (define @t57 () (= (tptp.lin @t55) (tptp.lin @t54)))
% 159.32/159.52  (define @t58 () (=> @t57 @t56))
% 159.32/159.52  (define @t59 () (not @t58))
% 159.32/159.52  (define @t60 () (@list @t55 @t54))
% 159.32/159.52  (define @t61 () (exists @t60 @t59))
% 159.32/159.52  (define @t62 () (not @t61))
% 159.32/159.52  (define @t63 () (not @t20))
% 159.32/159.52  (define @t64 () (tptp.linTerm tptp.eX))
% 159.32/159.52  (define @t65 () (tptp.proj22 tptp.eX))
% 159.32/159.52  (define @t66 () (tptp.proj12 tptp.eX))
% 159.32/159.52  (define @t67 () (tptp.x2 @t66 @t65))
% 159.32/159.52  (define @t68 () (= tptp.eX @t67))
% 159.32/159.52  (define @t69 () (or @t68 (= @t64 @t51)))
% 159.32/159.52  (define @t70 () (forall @t25 (or @t19 @t42)))
% 159.32/159.52  (define @t71 () (@list tptp.eX))
% 159.32/159.52  (define @t72 () (= @t51 @t64))
% 159.32/159.52  (define @t73 () (or @t68 @t72))
% 159.32/159.52  (define @t74 () (@list false))
% 159.32/159.52  (define @t75 () (@list @t70))
% 159.32/159.52  (define @t76 () (= @t1 @t18))
% 159.32/159.52  (define @t77 () (=> @t20 @t76))
% 159.32/159.52  (define @t78 () (tptp.proj2 tptp.eX))
% 159.32/159.52  (define @t79 () (tptp.proj1 tptp.eX))
% 159.32/159.52  (define @t80 () (tptp.z @t79 @t78))
% 159.32/159.52  (define @t81 () (not (= @t80 tptp.eX)))
% 159.32/159.52  (define @t82 () (= tptp.eX @t80))
% 159.32/159.52  (define @t83 () (@list @t14))
% 159.32/159.52  (define @t84 () (tptp.assoc tptp.eX))
% 159.32/159.52  (define @t85 () (= tptp.eX @t84))
% 159.32/159.52  (define @t86 () (or @t82 @t68 @t85))
% 159.32/159.52  (define @t87 () (tptp.linTerm tptp.eY))
% 159.32/159.52  (define @t88 () (tptp.proj22 tptp.eY))
% 159.32/159.52  (define @t89 () (tptp.proj12 tptp.eY))
% 159.32/159.52  (define @t90 () (tptp.x2 @t89 @t88))
% 159.32/159.52  (define @t91 () (= tptp.eY @t90))
% 159.32/159.52  (define @t92 () (or @t91 (= @t87 @t53)))
% 159.32/159.52  (define @t93 () (@list tptp.eY))
% 159.32/159.52  (define @t94 () (= @t53 @t87))
% 159.32/159.52  (define @t95 () (or @t91 @t94))
% 159.32/159.52  (define @t96 () (not (= @t90 tptp.eY)))
% 159.32/159.52  (define @t97 () (@list true false))
% 159.32/159.52  (define @t98 () (@list tptp.eX tptp.eY))
% 159.32/159.52  (define @t99 () (tptp.append @t48 @t87))
% 159.32/159.52  (define @t100 () (tptp.z tptp.eY tptp.eX))
% 159.32/159.52  (define @t101 () (@list tptp.eX @t100))
% 159.32/159.52  (define @t102 () (tptp.z tptp.eX tptp.eY))
% 159.32/159.52  (define @t103 () (@list @t102 tptp.eX))
% 159.32/159.52  (define @t104 () (@list tptp.eY tptp.eX))
% 159.32/159.52  (define @t105 () (tptp.linTerm @t102))
% 159.32/159.52  (define @t106 () (tptp.lin @t102))
% 159.32/159.52  (define @t107 () (tptp.proj22 @t102))
% 159.32/159.52  (define @t108 () (tptp.proj12 @t102))
% 159.32/159.52  (define @t109 () (= @t102 (tptp.x2 @t108 @t107)))
% 159.32/159.52  (define @t110 () (or @t109 (= @t105 @t106)))
% 159.32/159.52  (define @t111 () (= @t106 @t105))
% 159.32/159.52  (define @t112 () (or @t109 @t111))
% 159.32/159.52  (define @t113 () (tptp.append tptp.nil @t99))
% 159.32/159.52  (define @t114 () (tptp.append @t48 @t64))
% 159.32/159.52  (define @t115 () (tptp.linTerm @t100))
% 159.32/159.52  (define @t116 () (tptp.append @t48 @t115))
% 159.32/159.52  (define @t117 () (tptp.lin (tptp.z @t102 tptp.eX)))
% 159.32/159.52  (define @t118 () (tptp.append @t117 @t44))
% 159.32/159.52  (define @t119 () (tptp.lin (tptp.z tptp.eX @t100)))
% 159.32/159.52  (define @t120 () (tptp.append @t119 @t44))
% 159.32/159.52  (define @t121 () (tptp.x2 @t102 tptp.eX))
% 159.32/159.52  (define @t122 () (@list @t121 @t121))
% 159.32/159.52  (define @t123 () (tptp.x2 tptp.eX @t100))
% 159.32/159.52  (define @t124 () (@list @t123 @t123))
% 159.32/159.52  (define @t125 () (tptp.lin @t100))
% 159.32/159.52  (define @t126 () (tptp.proj22 @t100))
% 159.32/159.52  (define @t127 () (tptp.proj12 @t100))
% 159.32/159.52  (define @t128 () (= @t100 (tptp.x2 @t127 @t126)))
% 159.32/159.52  (define @t129 () (or @t128 (= @t115 @t125)))
% 159.32/159.52  (define @t130 () (= @t125 @t115))
% 159.32/159.52  (define @t131 () (or @t128 @t130))
% 159.32/159.52  (define @t132 () (tptp.append tptp.nil @t87))
% 159.32/159.52  (define @t133 () (tptp.append @t64 @t99))
% 159.32/159.52  (define @t134 () (= @t106 @t133))
% 159.32/159.52  (define @t135 () (tptp.cons tptp.plus @t132))
% 159.32/159.52  (define @t136 () (= @t99 @t135))
% 159.32/159.52  (define @t137 () (tptp.cons tptp.x @t113))
% 159.32/159.52  (define @t138 () (= (tptp.append @t50 @t99) @t137))
% 159.32/159.52  (define @t139 () (tptp.append @t46 @t120))
% 159.32/159.52  (define @t140 () (tptp.linTerm @t123))
% 159.32/159.52  (define @t141 () (= @t140 @t139))
% 159.32/159.52  (define @t142 () (tptp.append @t46 @t118))
% 159.32/159.52  (define @t143 () (tptp.linTerm @t121))
% 159.32/159.52  (define @t144 () (= @t143 @t142))
% 159.32/159.52  (define @t145 () (= @t119 (tptp.append @t64 @t116)))
% 159.32/159.52  (define @t146 () (= @t125 (tptp.append @t87 @t114)))
% 159.32/159.52  (define @t147 () (tptp.append @t105 @t114))
% 159.32/159.52  (define @t148 () (= @t117 @t147))
% 159.32/159.52  (define @t149 () (= @t53 (tptp.append tptp.nil @t53)))
% 159.32/159.52  (define @t150 () (= @t99 @t113))
% 159.32/159.52  (define @t151 () (tptp.append @t113 @t114))
% 159.32/159.52  (define @t152 () (tptp.cons tptp.x @t151))
% 159.32/159.52  (define @t153 () (= (tptp.append @t137 @t114) @t152))
% 159.32/159.52  (define @t154 () (tptp.append tptp.nil @t115))
% 159.32/159.52  (define @t155 () (= @t116 (tptp.cons tptp.plus @t154)))
% 159.32/159.52  (define @t156 () (tptp.append tptp.nil @t116))
% 159.32/159.52  (define @t157 () (tptp.append @t50 @t116))
% 159.32/159.52  (define @t158 () (= @t157 (tptp.cons tptp.x @t156)))
% 159.32/159.52  (define @t159 () (tptp.append tptp.nil @t118))
% 159.32/159.52  (define @t160 () (tptp.cons tptp.c @t159))
% 159.32/159.52  (define @t161 () (= @t142 @t160))
% 159.32/159.52  (define @t162 () (tptp.append tptp.nil @t120))
% 159.32/159.52  (define @t163 () (= @t139 (tptp.cons tptp.c @t162)))
% 159.32/159.52  (define @t164 () (tptp.append @t48 @t143))
% 159.32/159.52  (define @t165 () (tptp.append @t143 @t164))
% 159.32/159.52  (define @t166 () (tptp.z @t121 @t121))
% 159.32/159.52  (define @t167 () (tptp.lin @t166))
% 159.32/159.52  (define @t168 () (= @t167 @t165))
% 159.32/159.52  (define @t169 () (tptp.z @t123 @t123))
% 159.32/159.52  (define @t170 () (tptp.lin @t169))
% 159.32/159.52  (define @t171 () (= @t170 (tptp.append @t140 (tptp.append @t48 @t140))))
% 159.32/159.52  (define @t172 () (= @t115 @t154))
% 159.32/159.52  (define @t173 () (= @t116 @t156))
% 159.32/159.52  (define @t174 () (= @t118 @t159))
% 159.32/159.52  (define @t175 () (= @t120 @t162))
% 159.32/159.52  (define @t176 () (tptp.append @t132 @t114))
% 159.32/159.52  (define @t177 () (tptp.cons tptp.plus @t176))
% 159.32/159.52  (define @t178 () (= (tptp.append @t135 @t114) @t177))
% 159.32/159.52  (define @t179 () (= @t167 @t170))
% 159.32/159.52  (define @t180 () (and @t52 @t72 @t94 @t134 @t136 @t138 @t111 @t141 @t144 @t145 @t146 @t148 @t149 @t150 @t153 @t155 @t158 @t161 @t163 @t130 @t168 @t171 @t172 @t173 @t174 @t175 @t178))
% 159.32/159.52  (define @t181 () (forall @t60 (or (not @t57) @t56)))
% 159.32/159.52  (define @t182 () (forall @t60 (not @t59)))
% 159.32/159.52  (define @t183 () (not @t182))
% 159.32/159.52  (define @t184 () (tptp.assoc @t166))
% 159.32/159.52  (define @t185 () (tptp.assoc @t169))
% 159.32/159.52  (define @t186 () (= @t185 @t184))
% 159.32/159.52  (define @t187 () (not (= @t170 @t167)))
% 159.32/159.52  (define @t188 () (or @t187 @t186))
% 159.32/159.52  (define @t189 () (not @t179))
% 159.32/159.52  (define @t190 () (or @t189 @t186))
% 159.32/159.52  (define @t191 () (not (= @t102 tptp.eX)))
% 159.32/159.52  (define @t192 () (= tptp.eX @t102))
% 159.32/159.52  (define @t193 () (tptp.assoc tptp.eY))
% 159.32/159.52  (define @t194 () (tptp.z @t84 @t193))
% 159.32/159.52  (define @t195 () (tptp.assoc @t102))
% 159.32/159.52  (define @t196 () (= @t195 @t194))
% 159.32/159.52  (define @t197 () (or @t82 @t196))
% 159.32/159.52  (define @t198 () (tptp.proj2 tptp.eY))
% 159.32/159.52  (define @t199 () (tptp.proj1 tptp.eY))
% 159.32/159.52  (define @t200 () (tptp.z @t199 @t198))
% 159.32/159.52  (define @t201 () (not (= @t200 tptp.eY)))
% 159.32/159.52  (define @t202 () (= tptp.eY @t200))
% 159.32/159.52  (define @t203 () (= tptp.eY @t193))
% 159.32/159.52  (define @t204 () (or @t202 @t91 @t203))
% 159.32/159.52  (define @t205 () (tptp.assoc @t100))
% 159.32/159.52  (define @t206 () (= @t205 (tptp.z @t193 @t84)))
% 159.32/159.52  (define @t207 () (or @t202 @t206))
% 159.32/159.52  (define @t208 () (tptp.proj2 @t123))
% 159.32/159.52  (define @t209 () (tptp.proj1 @t123))
% 159.32/159.52  (define @t210 () (tptp.z @t209 @t208))
% 159.32/159.52  (define @t211 () (not (= @t210 @t123)))
% 159.32/159.52  (define @t212 () (= @t123 @t210))
% 159.32/159.52  (define @t213 () (@list @t13))
% 159.32/159.52  (define @t214 () (tptp.assoc @t123))
% 159.32/159.52  (define @t215 () (= @t185 (tptp.z @t214 @t214)))
% 159.32/159.52  (define @t216 () (or @t212 @t215))
% 159.32/159.52  (define @t217 () (tptp.proj2 @t121))
% 159.32/159.52  (define @t218 () (tptp.proj1 @t121))
% 159.32/159.52  (define @t219 () (tptp.z @t218 @t217))
% 159.32/159.52  (define @t220 () (not (= @t219 @t121)))
% 159.32/159.52  (define @t221 () (= @t121 @t219))
% 159.32/159.52  (define @t222 () (tptp.assoc @t121))
% 159.32/159.52  (define @t223 () (tptp.z @t222 @t222))
% 159.32/159.52  (define @t224 () (= @t184 @t223))
% 159.32/159.52  (define @t225 () (or @t221 @t224))
% 159.32/159.52  (define @t226 () (tptp.proj12 @t123))
% 159.32/159.52  (define @t227 () (= tptp.eX @t226))
% 159.32/159.52  (define @t228 () (= @t102 (tptp.proj12 @t121)))
% 159.32/159.52  (define @t229 () (tptp.x2 @t195 @t84))
% 159.32/159.52  (define @t230 () (= @t222 @t229))
% 159.32/159.52  (define @t231 () (= @t214 (tptp.x2 @t84 @t205)))
% 159.32/159.52  (define @t232 () (= @t121 (tptp.proj1 @t166)))
% 159.32/159.52  (define @t233 () (tptp.proj1 @t169))
% 159.32/159.52  (define @t234 () (= @t123 @t233))
% 159.32/159.52  (define @t235 () (and @t85 @t203 @t196 @t206 @t227 @t228 @t230 @t231 @t215 @t224 @t232 @t234 @t186))
% 159.32/159.52  (define @t236 () (not (= @t67 tptp.eX)))
% 159.32/159.52  (assume @p1 (forall @t4 (= (tptp.head @t3) @t1)))
% 159.32/159.52  (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2)))
% 159.32/159.52  (assume @p3 (forall @t4 (not (= tptp.nil @t3))))
% 159.32/159.52  (assume @p4 (not (= tptp.c tptp.d)))
% 159.32/159.52  (assume @p5 (not (= tptp.c tptp.x)))
% 159.32/159.52  (assume @p6 (not (= tptp.c tptp.y)))
% 159.32/159.52  (assume @p7 (not (= tptp.c tptp.plus)))
% 159.32/159.52  (assume @p8 (not (= tptp.c tptp.mul)))
% 159.32/159.52  (assume @p9 (not (= tptp.d tptp.x)))
% 159.32/159.52  (assume @p10 (not (= tptp.d tptp.y)))
% 159.32/159.52  (assume @p11 (not (= tptp.d tptp.plus)))
% 159.32/159.52  (assume @p12 (not (= tptp.d tptp.mul)))
% 159.32/159.52  (assume @p13 (not (= tptp.x tptp.y)))
% 159.32/159.52  (assume @p14 (not (= tptp.x tptp.plus)))
% 159.32/159.52  (assume @p15 (not (= tptp.x tptp.mul)))
% 159.32/159.52  (assume @p16 (not (= tptp.y tptp.plus)))
% 159.32/159.52  (assume @p17 (not (= tptp.y tptp.mul)))
% 159.32/159.52  (assume @p18 (not (= tptp.plus tptp.mul)))
% 159.32/159.52  (assume @p19 @t7)
% 159.32/159.52  (assume @p20 (forall @t4 (= (tptp.proj2 @t5) @t2)))
% 159.32/159.52  (assume @p21 @t10)
% 159.32/159.52  (assume @p22 (forall @t4 (= (tptp.proj22 @t8) @t2)))
% 159.32/159.52  (assume @p23 @t13)
% 159.32/159.52  (assume @p24 @t14)
% 159.32/159.52  (assume @p25 @t15)
% 159.32/159.52  (assume @p26 @t16)
% 159.32/159.52  (assume @p27 @t17)
% 159.32/159.52  (assume @p28 (not (= tptp.eX tptp.eY)))
% 159.32/159.52  (assume @p29 @t26)
% 159.32/159.52  (assume @p30 @t32)
% 159.32/159.52  (assume @p31 (forall (@list @t27 @t34 @t33) (= (tptp.assoc (tptp.z @t35 @t27)) (tptp.assoc (tptp.z @t34 (tptp.z @t33 @t27))))))
% 159.32/159.52  (assume @p32 (forall (@list @t37 @t36) (= (tptp.assoc (tptp.x2 @t37 @t36)) (tptp.x2 (tptp.assoc @t37) (tptp.assoc @t36)))))
% 159.32/159.52  (assume @p33 @t39)
% 159.32/159.52  (assume @p34 (forall (@list @t28 @t41 @t40) (= (tptp.append (tptp.cons @t41 @t40) @t28) (tptp.cons @t41 (tptp.append @t40 @t28)))))
% 159.32/159.52  (assume @p35 @t43)
% 159.32/159.52  (assume @p36 (forall @t47 (= (tptp.linTerm (tptp.x2 @t34 @t33)) (tptp.append @t46 (tptp.append @t45 @t44)))))
% 159.32/159.52  (assume @p37 (forall @t47 (= @t45 (tptp.append (tptp.linTerm @t34) (tptp.append @t48 (tptp.linTerm @t33))))))
% 159.32/159.52  (assume @p38 (forall (@list @t49 @t36) (= (tptp.lin (tptp.x2 @t49 @t36)) (tptp.append (tptp.lin @t49) (tptp.append (tptp.cons tptp.mul tptp.nil) (tptp.lin @t36))))))
% 159.32/159.52  (assume @p39 @t52)
% 159.32/159.52  (assume @p40 (= @t53 (tptp.cons tptp.y tptp.nil)))
% 159.32/159.52  (assume @p41 @t62)
% 159.32/159.52  (assume @p42 true)
% 159.32/159.52  (step @p43 :rule refl :args (@t42))
% 159.32/159.52  (step @p44 :rule bool-double-not-elim :args (@t19))
% 159.32/159.52  (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t63 @t42)))
% 159.32/159.52  (step @p46 :rule bool-impl-elim :args (@t20 @t42))
% 159.32/159.52  (step @p47 :rule trans :premises (@p46 @p45))
% 159.32/159.52  (step @p48 :rule cong :premises (@p47) :args (@t43))
% 159.32/159.52  (step @p49 :rule eq_resolve :premises (@p35 @p48))
% 159.32/159.52  (step @p50 :rule eq-symm :args (@t64 @t51))
% 159.32/159.52  (step @p51 :rule refl :args (@t68))
% 159.32/159.52  (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t69))
% 159.32/159.52  (step @p53 :rule refl :args (@t70))
% 159.32/159.52  (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t70 @t69)))
% 159.32/159.52  (assume-push @p548 @t70)
% 159.32/159.52  (step @p56 :rule instantiate :premises (@p49) :args (@t71))
% 159.32/159.52  (step-pop @p549 :rule scope :premises (@p56))
% 159.32/159.52  (step @p57 :rule process_scope :premises (@p549) :args (@t69))
% 159.32/159.52  (step @p59 :rule eq_resolve :premises (@p57 @p54))
% 159.32/159.52  (step @p60 :rule implies_elim :premises (@p59))
% 159.32/159.52  (step @p61 :rule chain_m_resolution :premises (@p60 @p49) :args (@t73 @t74 @t75))
% 159.32/159.52  (step @p62 :rule cnf_or_pos :args (@t73))
% 159.32/159.52  (step @p63 :rule reordering :premises (@p62) :args ((or @t68 @t72 (not @t73))))
% 159.32/159.52  (step @p64 :rule aci_norm :args ((= (or @t22 (or @t19 @t76)) (or @t22 @t19 @t76))))
% 159.32/159.52  (step @p65 :rule refl :args (@t76))
% 159.32/159.52  (step @p66 :rule nary_cong :premises (@p44 @p65) :args ((or @t63 @t76)))
% 159.32/159.52  (step @p67 :rule bool-impl-elim :args (@t20 @t76))
% 159.32/159.52  (step @p68 :rule trans :premises (@p67 @p66))
% 159.32/159.52  (step @p69 :rule refl :args (@t22))
% 159.32/159.52  (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t22 @t77)))
% 159.32/159.52  (step @p71 :rule trans :premises (@p70 @p64))
% 159.32/159.52  (step @p72 :rule refl :args (@t77))
% 159.32/159.52  (step @p73 :rule bool-double-not-elim :args (@t22))
% 159.32/159.52  (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t23) @t77)))
% 159.32/159.52  (step @p75 :rule bool-impl-elim :args (@t23 @t77))
% 159.32/159.52  (step @p76 :rule trans :premises (@p75 @p74))
% 159.32/159.52  (step @p77 :rule trans :premises (@p76 @p71))
% 159.32/159.52  (step @p78 :rule cong :premises (@p77) :args ((forall @t25 (=> @t23 @t77))))
% 159.32/159.52  (step @p79 :rule eq-symm :args (@t18 @t1))
% 159.32/159.52  (step @p80 :rule refl :args (@t20))
% 159.32/159.52  (step @p81 :rule cong :premises (@p80 @p79) :args (@t21))
% 159.32/159.52  (step @p82 :rule refl :args (@t23))
% 159.32/159.52  (step @p83 :rule cong :premises (@p82 @p81) :args (@t24))
% 159.32/159.52  (step @p84 :rule cong :premises (@p83) :args (@t26))
% 159.32/159.52  (step @p85 :rule trans :premises (@p84 @p78))
% 159.32/159.52  (step @p86 :rule eq_resolve :premises (@p29 @p85))
% 159.32/159.52  (step @p87 :rule instantiate :premises (@p86) :args (@t71))
% 159.32/159.52  (step @p88 :rule eq-symm :args (@t80 tptp.eX))
% 159.32/159.52  (step @p89 :rule cong :premises (@p88) :args (@t81))
% 159.32/159.52  (step @p90 :rule refl :args (@t14))
% 159.32/159.52  (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t14 @t81)))
% 159.32/159.52  (assume-push @p550 @t14)
% 159.32/159.52  (step @p93 :rule instantiate :premises (@p24) :args ((@list @t79 @t78)))
% 159.32/159.52  (step-pop @p551 :rule scope :premises (@p93))
% 159.32/159.52  (step @p94 :rule process_scope :premises (@p551) :args (@t81))
% 159.32/159.52  (step @p96 :rule eq_resolve :premises (@p94 @p91))
% 159.32/159.52  (step @p97 :rule implies_elim :premises (@p96))
% 159.32/159.52  (step @p98 :rule chain_m_resolution :premises (@p97 @p24) :args ((not @t82) @t74 @t83))
% 159.32/159.52  (step @p99 :rule cnf_or_pos :args (@t86))
% 159.32/159.52  (step @p100 :rule reordering :premises (@p99) :args ((or @t68 @t82 @t85 (not @t86))))
% 159.32/159.52  (step @p101 :rule eq-symm :args (@t87 @t53))
% 159.32/159.52  (step @p102 :rule refl :args (@t91))
% 159.32/159.52  (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t92))
% 159.32/159.52  (step @p104 :rule cong :premises (@p53 @p103) :args ((=> @t70 @t92)))
% 159.32/159.52  (assume-push @p552 @t70)
% 159.32/159.52  (step @p106 :rule instantiate :premises (@p49) :args (@t93))
% 159.32/159.52  (step-pop @p553 :rule scope :premises (@p106))
% 159.32/159.52  (step @p107 :rule process_scope :premises (@p553) :args (@t92))
% 159.32/159.52  (step @p109 :rule eq_resolve :premises (@p107 @p104))
% 159.32/159.52  (step @p110 :rule implies_elim :premises (@p109))
% 159.32/159.52  (step @p111 :rule chain_m_resolution :premises (@p110 @p49) :args (@t95 @t74 @t75))
% 159.32/159.52  (step @p112 :rule eq-symm :args (@t90 tptp.eY))
% 159.32/159.52  (step @p113 :rule cong :premises (@p112) :args (@t96))
% 159.32/159.52  (step @p114 :rule refl :args (@t17))
% 159.32/159.52  (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t17 @t96)))
% 159.32/159.52  (assume-push @p554 @t17)
% 159.32/159.52  (step @p117 :rule instantiate :premises (@p27) :args ((@list @t89 @t88)))
% 159.32/159.52  (step-pop @p555 :rule scope :premises (@p117))
% 159.32/159.52  (step @p118 :rule process_scope :premises (@p555) :args (@t96))
% 159.32/159.52  (step @p120 :rule eq_resolve :premises (@p118 @p115))
% 159.32/159.52  (step @p121 :rule implies_elim :premises (@p120))
% 159.32/159.52  (step @p122 :rule chain_m_resolution :premises (@p121 @p27) :args ((not @t91) @t74 (@list @t17)))
% 159.32/159.52  (step @p123 :rule cnf_or_pos :args (@t95))
% 159.32/159.52  (step @p124 :rule reordering :premises (@p123) :args ((or @t91 @t94 (not @t95))))
% 159.32/159.52  (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p111) :args (@t94 @t97 (@list @t91 @t95)))
% 159.32/159.52  (step @p126 :rule instantiate :premises (@p37) :args (@t98))
% 159.32/159.52  (step @p127 :rule instantiate :premises (@p34) :args ((@list @t87 tptp.plus tptp.nil)))
% 159.32/159.52  (step @p128 :rule instantiate :premises (@p34) :args ((@list @t99 tptp.x tptp.nil)))
% 159.32/159.52  (step @p129 :rule instantiate :premises (@p36) :args (@t101))
% 159.32/159.52  (step @p130 :rule instantiate :premises (@p36) :args (@t103))
% 159.32/159.52  (step @p131 :rule instantiate :premises (@p37) :args (@t101))
% 159.32/159.52  (step @p132 :rule instantiate :premises (@p37) :args (@t104))
% 159.32/159.52  (step @p133 :rule instantiate :premises (@p37) :args (@t103))
% 159.32/159.52  (step @p134 :rule eq-symm :args (@t38 @t28))
% 159.32/159.52  (step @p135 :rule cong :premises (@p134) :args (@t39))
% 159.32/159.52  (step @p136 :rule eq_resolve :premises (@p33 @p135))
% 159.32/159.52  (step @p137 :rule instantiate :premises (@p136) :args ((@list @t53)))
% 159.32/159.52  (step @p138 :rule eq-symm :args (@t105 @t106))
% 159.32/159.52  (step @p139 :rule refl :args (@t109))
% 159.32/159.52  (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t110))
% 159.32/159.52  (step @p141 :rule cong :premises (@p53 @p140) :args ((=> @t70 @t110)))
% 159.32/159.52  (assume-push @p556 @t70)
% 159.32/159.52  (step @p143 :rule instantiate :premises (@p49) :args ((@list @t102)))
% 159.32/159.52  (step-pop @p557 :rule scope :premises (@p143))
% 159.32/159.52  (step @p144 :rule process_scope :premises (@p557) :args (@t110))
% 159.32/159.52  (step @p146 :rule eq_resolve :premises (@p144 @p141))
% 159.32/159.52  (step @p147 :rule implies_elim :premises (@p146))
% 159.32/159.52  (step @p148 :rule chain_m_resolution :premises (@p147 @p49) :args (@t112 @t74 @t75))
% 159.32/159.52  (step @p149 :rule instantiate :premises (@p23) :args ((@list tptp.eX tptp.eY @t108 @t107)))
% 159.32/159.52  (step @p150 :rule cnf_or_pos :args (@t112))
% 159.32/159.52  (step @p151 :rule reordering :premises (@p150) :args ((or @t109 @t111 (not @t112))))
% 159.32/159.52  (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p148) :args (@t111 @t97 (@list @t109 @t112)))
% 159.32/159.52  (step @p153 :rule instantiate :premises (@p136) :args ((@list @t99)))
% 159.32/159.52  (step @p154 :rule instantiate :premises (@p34) :args ((@list @t114 tptp.x @t113)))
% 159.32/159.52  (step @p155 :rule instantiate :premises (@p34) :args ((@list @t115 tptp.plus tptp.nil)))
% 159.32/159.52  (step @p156 :rule instantiate :premises (@p34) :args ((@list @t116 tptp.x tptp.nil)))
% 159.32/159.52  (step @p157 :rule instantiate :premises (@p34) :args ((@list @t118 tptp.c tptp.nil)))
% 159.32/159.52  (step @p158 :rule instantiate :premises (@p34) :args ((@list @t120 tptp.c tptp.nil)))
% 159.32/159.52  (step @p159 :rule instantiate :premises (@p37) :args (@t122))
% 159.32/159.52  (step @p160 :rule instantiate :premises (@p37) :args (@t124))
% 159.32/159.52  (step @p161 :rule eq-symm :args (@t115 @t125))
% 159.32/159.52  (step @p162 :rule refl :args (@t128))
% 159.32/159.52  (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t129))
% 159.32/159.52  (step @p164 :rule cong :premises (@p53 @p163) :args ((=> @t70 @t129)))
% 159.32/159.52  (assume-push @p558 @t70)
% 159.32/159.52  (step @p166 :rule instantiate :premises (@p49) :args ((@list @t100)))
% 159.32/159.52  (step-pop @p559 :rule scope :premises (@p166))
% 159.32/159.52  (step @p167 :rule process_scope :premises (@p559) :args (@t129))
% 159.32/159.52  (step @p169 :rule eq_resolve :premises (@p167 @p164))
% 159.32/159.52  (step @p170 :rule implies_elim :premises (@p169))
% 159.32/159.52  (step @p171 :rule chain_m_resolution :premises (@p170 @p49) :args (@t131 @t74 @t75))
% 159.32/159.52  (step @p172 :rule instantiate :premises (@p23) :args ((@list tptp.eY tptp.eX @t127 @t126)))
% 159.32/159.52  (step @p173 :rule cnf_or_pos :args (@t131))
% 159.32/159.52  (step @p174 :rule reordering :premises (@p173) :args ((or @t128 @t130 (not @t131))))
% 159.32/159.52  (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p171) :args (@t130 @t97 (@list @t128 @t131)))
% 159.32/159.52  (step @p176 :rule instantiate :premises (@p136) :args ((@list @t115)))
% 159.32/159.52  (step @p177 :rule instantiate :premises (@p136) :args ((@list @t116)))
% 159.32/159.52  (step @p178 :rule instantiate :premises (@p136) :args ((@list @t118)))
% 159.32/159.52  (step @p179 :rule instantiate :premises (@p136) :args ((@list @t120)))
% 159.32/159.52  (step @p180 :rule instantiate :premises (@p34) :args ((@list @t114 tptp.plus @t132)))
% 159.32/159.52  (assume-push @p560 @t52)
% 159.32/159.52  (assume-push @p561 @t72)
% 159.32/159.52  (assume-push @p562 @t94)
% 159.32/159.52  (assume-push @p563 @t134)
% 159.32/159.52  (assume-push @p564 @t136)
% 159.32/159.52  (assume-push @p565 @t138)
% 159.32/159.52  (assume-push @p566 @t111)
% 159.32/159.52  (assume-push @p567 @t141)
% 159.32/159.52  (assume-push @p568 @t144)
% 159.32/159.52  (assume-push @p569 @t145)
% 159.32/159.52  (assume-push @p570 @t146)
% 159.32/159.52  (assume-push @p571 @t148)
% 159.32/159.52  (assume-push @p572 @t149)
% 159.32/159.52  (assume-push @p573 @t150)
% 159.32/159.52  (assume-push @p574 @t153)
% 159.32/159.52  (assume-push @p575 @t155)
% 159.32/159.52  (assume-push @p576 @t158)
% 159.32/159.52  (assume-push @p577 @t161)
% 159.32/159.52  (assume-push @p578 @t163)
% 159.32/159.52  (assume-push @p579 @t130)
% 159.32/159.52  (assume-push @p580 @t168)
% 159.32/159.52  (assume-push @p581 @t171)
% 159.32/159.52  (assume-push @p582 @t172)
% 159.32/159.52  (assume-push @p583 @t173)
% 159.32/159.52  (assume-push @p584 @t174)
% 159.32/159.52  (assume-push @p585 @t175)
% 159.32/159.52  (assume-push @p586 @t178)
% 159.32/159.52  (assume-push @p587 @t171)
% 159.32/159.52  (assume-push @p588 @t141)
% 159.32/159.52  (assume-push @p589 @t163)
% 159.32/159.52  (assume-push @p590 @t175)
% 159.32/159.52  (assume-push @p591 @t145)
% 159.32/159.52  (assume-push @p592 @t72)
% 159.32/159.52  (assume-push @p593 @t52)
% 159.32/159.52  (assume-push @p594 @t158)
% 159.32/159.52  (assume-push @p595 @t173)
% 159.32/159.52  (assume-push @p596 @t155)
% 159.32/159.52  (assume-push @p597 @t172)
% 159.32/159.52  (assume-push @p598 @t130)
% 159.32/159.52  (assume-push @p599 @t146)
% 159.32/159.52  (assume-push @p600 @t94)
% 159.32/159.52  (assume-push @p601 @t149)
% 159.32/159.52  (assume-push @p602 @t178)
% 159.32/159.52  (assume-push @p603 @t136)
% 159.32/159.52  (assume-push @p604 @t150)
% 159.32/159.52  (assume-push @p605 @t153)
% 159.32/159.52  (assume-push @p606 @t138)
% 159.32/159.52  (assume-push @p607 @t134)
% 159.32/159.52  (assume-push @p608 @t111)
% 159.32/159.52  (assume-push @p609 @t148)
% 159.32/159.52  (assume-push @p610 @t174)
% 159.32/159.52  (assume-push @p611 @t161)
% 159.32/159.52  (assume-push @p612 @t144)
% 159.32/159.52  (assume-push @p613 @t168)
% 159.32/159.52  (step @p235 :rule symm :premises (@p160))
% 159.32/159.52  (step @p236 :rule symm :premises (@p129))
% 159.32/159.52  (step @p237 :rule symm :premises (@p158))
% 159.32/159.52  (step @p238 :rule refl :args (@t44))
% 159.32/159.52  (step @p239 :rule symm :premises (@p131))
% 159.32/159.52  (step @p240 :rule refl :args (@t116))
% 159.32/159.52  (step @p241 :rule symm :premises (@p39))
% 159.32/159.52  (step @p242 :rule trans :premises (@p241 @p561))
% 159.32/159.52  (step @p243 :rule cong :premises (@p242 @p240) :args (@t157))
% 159.32/159.52  (step @p244 :rule symm :premises (@p156))
% 159.32/159.52  (step @p245 :rule trans :premises (@p244 @p243 @p239))
% 159.32/159.52  (step @p246 :rule symm :premises (@p155))
% 159.32/159.52  (step @p247 :rule symm :premises (@p132))
% 159.32/159.52  (step @p248 :rule refl :args (@t114))
% 159.32/159.52  (step @p249 :rule symm :premises (@p137))
% 159.32/159.52  (step @p250 :rule symm :premises (@p125))
% 159.32/159.52  (step @p251 :rule refl :args (tptp.nil))
% 159.32/159.52  (step @p252 :rule cong :premises (@p251 @p250) :args (@t132))
% 159.32/159.52  (step @p253 :rule trans :premises (@p252 @p249))
% 159.32/159.52  (step @p254 :rule trans :premises (@p253 @p125))
% 159.32/159.52  (step @p255 :rule cong :premises (@p254 @p248) :args (@t176))
% 159.32/159.52  (step @p256 :rule trans :premises (@p255 @p247 @p175 @p176))
% 159.32/159.52  (step @p257 :rule refl :args (tptp.plus))
% 159.32/159.52  (step @p258 :rule cong :premises (@p257 @p256) :args (@t177))
% 159.32/159.52  (step @p259 :rule symm :premises (@p153))
% 159.32/159.52  (step @p260 :rule trans :premises (@p259 @p127))
% 159.32/159.52  (step @p261 :rule cong :premises (@p260 @p248) :args (@t151))
% 159.32/159.52  (step @p262 :rule trans :premises (@p261 @p180 @p258 @p246 @p177))
% 159.32/159.52  (step @p263 :rule refl :args (tptp.x))
% 159.32/159.52  (step @p264 :rule cong :premises (@p263 @p262) :args (@t152))
% 159.32/159.52  (step @p265 :rule refl :args (@t99))
% 159.32/159.52  (step @p266 :rule symm :premises (@p242))
% 159.32/159.52  (step @p267 :rule cong :premises (@p266 @p265) :args (@t133))
% 159.32/159.52  (step @p268 :rule trans :premises (@p126 @p267 @p128))
% 159.32/159.52  (step @p269 :rule symm :premises (@p152))
% 159.32/159.52  (step @p270 :rule trans :premises (@p269 @p268))
% 159.32/159.52  (step @p271 :rule cong :premises (@p270 @p248) :args (@t147))
% 159.32/159.52  (step @p272 :rule trans :premises (@p133 @p271 @p154 @p264))
% 159.32/159.52  (step @p273 :rule trans :premises (@p272 @p245))
% 159.32/159.52  (step @p274 :rule cong :premises (@p273 @p238) :args (@t118))
% 159.32/159.52  (step @p275 :rule trans :premises (@p274 @p179))
% 159.32/159.52  (step @p276 :rule refl :args (tptp.c))
% 159.32/159.52  (step @p277 :rule cong :premises (@p276 @p275) :args ((tptp.cons tptp.c @t118)))
% 159.32/159.52  (step @p278 :rule symm :premises (@p178))
% 159.32/159.52  (step @p279 :rule cong :premises (@p276 @p278) :args (@t160))
% 159.32/159.52  (step @p280 :rule trans :premises (@p130 @p157 @p279 @p277 @p237 @p236))
% 159.32/159.52  (step @p281 :rule refl :args (@t48))
% 159.32/159.52  (step @p282 :rule cong :premises (@p281 @p280) :args (@t164))
% 159.32/159.52  (step @p283 :rule cong :premises (@p280 @p282) :args (@t165))
% 159.32/159.52  (step @p284 :rule trans :premises (@p159 @p283 @p235))
% 159.32/159.52  (step-pop @p614 :rule scope :premises (@p284))
% 159.32/159.52  (step-pop @p615 :rule scope :premises (@p614))
% 159.32/159.52  (step-pop @p616 :rule scope :premises (@p615))
% 159.32/159.52  (step-pop @p617 :rule scope :premises (@p616))
% 159.32/159.52  (step-pop @p618 :rule scope :premises (@p617))
% 159.32/159.52  (step-pop @p619 :rule scope :premises (@p618))
% 159.32/159.52  (step-pop @p620 :rule scope :premises (@p619))
% 159.32/159.52  (step-pop @p621 :rule scope :premises (@p620))
% 159.32/159.52  (step-pop @p622 :rule scope :premises (@p621))
% 159.32/159.52  (step-pop @p623 :rule scope :premises (@p622))
% 159.32/159.52  (step-pop @p624 :rule scope :premises (@p623))
% 159.32/159.52  (step-pop @p625 :rule scope :premises (@p624))
% 159.32/159.52  (step-pop @p626 :rule scope :premises (@p625))
% 159.32/159.52  (step-pop @p627 :rule scope :premises (@p626))
% 159.32/159.52  (step-pop @p628 :rule scope :premises (@p627))
% 159.32/159.52  (step-pop @p629 :rule scope :premises (@p628))
% 159.32/159.52  (step-pop @p630 :rule scope :premises (@p629))
% 159.32/159.52  (step-pop @p631 :rule scope :premises (@p630))
% 159.32/159.52  (step-pop @p632 :rule scope :premises (@p631))
% 159.32/159.52  (step-pop @p633 :rule scope :premises (@p632))
% 159.32/159.52  (step-pop @p634 :rule scope :premises (@p633))
% 159.32/159.52  (step-pop @p635 :rule scope :premises (@p634))
% 159.32/159.52  (step-pop @p636 :rule scope :premises (@p635))
% 159.32/159.52  (step-pop @p637 :rule scope :premises (@p636))
% 159.32/159.52  (step-pop @p638 :rule scope :premises (@p637))
% 159.32/159.52  (step-pop @p639 :rule scope :premises (@p638))
% 159.32/159.52  (step-pop @p640 :rule scope :premises (@p639))
% 159.32/159.52  (step @p285 :rule process_scope :premises (@p640) :args (@t179))
% 159.32/159.52  (step @p313 :rule and_intro :premises (@p160 @p129 @p158 @p179 @p131 @p561 @p39 @p156 @p177 @p155 @p176 @p175 @p132 @p125 @p137 @p180 @p127 @p153 @p154 @p128 @p126 @p152 @p133 @p178 @p157 @p130 @p159))
% 159.32/159.52  (step @p314 :rule modus_ponens :premises (@p313 @p285))
% 159.32/159.52  (step-pop @p641 :rule scope :premises (@p314))
% 159.32/159.52  (step-pop @p642 :rule scope :premises (@p641))
% 159.32/159.52  (step-pop @p643 :rule scope :premises (@p642))
% 159.32/159.52  (step-pop @p644 :rule scope :premises (@p643))
% 159.32/159.52  (step-pop @p645 :rule scope :premises (@p644))
% 159.32/159.52  (step-pop @p646 :rule scope :premises (@p645))
% 159.32/159.52  (step-pop @p647 :rule scope :premises (@p646))
% 159.32/159.52  (step-pop @p648 :rule scope :premises (@p647))
% 159.32/159.52  (step-pop @p649 :rule scope :premises (@p648))
% 159.32/159.52  (step-pop @p650 :rule scope :premises (@p649))
% 159.32/159.52  (step-pop @p651 :rule scope :premises (@p650))
% 159.32/159.52  (step-pop @p652 :rule scope :premises (@p651))
% 159.32/159.52  (step-pop @p653 :rule scope :premises (@p652))
% 159.32/159.52  (step-pop @p654 :rule scope :premises (@p653))
% 159.32/159.52  (step-pop @p655 :rule scope :premises (@p654))
% 159.32/159.52  (step-pop @p656 :rule scope :premises (@p655))
% 159.32/159.52  (step-pop @p657 :rule scope :premises (@p656))
% 159.32/159.52  (step-pop @p658 :rule scope :premises (@p657))
% 159.32/159.52  (step-pop @p659 :rule scope :premises (@p658))
% 159.32/159.52  (step-pop @p660 :rule scope :premises (@p659))
% 159.32/159.52  (step-pop @p661 :rule scope :premises (@p660))
% 159.32/159.52  (step-pop @p662 :rule scope :premises (@p661))
% 159.32/159.52  (step-pop @p663 :rule scope :premises (@p662))
% 159.32/159.52  (step-pop @p664 :rule scope :premises (@p663))
% 159.32/159.52  (step-pop @p665 :rule scope :premises (@p664))
% 159.32/159.52  (step-pop @p666 :rule scope :premises (@p665))
% 159.32/159.52  (step-pop @p667 :rule scope :premises (@p666))
% 159.32/159.52  (step @p315 :rule process_scope :premises (@p667) :args (@t179))
% 159.32/159.52  (step @p343 :rule implies_elim :premises (@p315))
% 159.32/159.52  (step @p344 :rule cnf_and_neg :args (@t180))
% 159.32/159.52  (step @p345 :rule resolution :premises (@p344 @p343) :args (true @t180))
% 159.32/159.52  (step @p346 :rule bool-double-not-elim :args (@t181))
% 159.32/159.52  (step @p347 :rule bool-impl-elim :args (@t57 @t56))
% 159.32/159.52  (step @p348 :rule cong :premises (@p347) :args ((forall @t60 @t58)))
% 159.32/159.52  (step @p349 :rule bool-double-not-elim :args (@t58))
% 159.32/159.52  (step @p350 :rule cong :premises (@p349) :args (@t182))
% 159.32/159.52  (step @p351 :rule trans :premises (@p350 @p348))
% 159.32/159.52  (step @p352 :rule cong :premises (@p351) :args (@t183))
% 159.32/159.52  (step @p353 :rule exists-elim :args ((= @t61 @t183)))
% 159.32/159.52  (step @p354 :rule trans :premises (@p353 @p352))
% 159.32/159.52  (step @p355 :rule cong :premises (@p354) :args (@t62))
% 159.32/159.52  (step @p356 :rule trans :premises (@p355 @p346))
% 159.32/159.52  (step @p357 :rule eq_resolve :premises (@p41 @p356))
% 159.32/159.52  (step @p358 :rule refl :args (@t186))
% 159.32/159.52  (step @p359 :rule eq-symm :args (@t170 @t167))
% 159.32/159.52  (step @p360 :rule cong :premises (@p359) :args (@t187))
% 159.32/159.52  (step @p361 :rule nary_cong :premises (@p360 @p358) :args (@t188))
% 159.32/159.52  (step @p362 :rule refl :args (@t181))
% 159.32/159.52  (step @p363 :rule cong :premises (@p362 @p361) :args ((=> @t181 @t188)))
% 159.32/159.52  (assume-push @p668 @t181)
% 159.32/159.52  (step @p365 :rule instantiate :premises (@p357) :args ((@list @t169 @t166)))
% 159.32/159.52  (step-pop @p669 :rule scope :premises (@p365))
% 159.32/159.52  (step @p366 :rule process_scope :premises (@p669) :args (@t188))
% 159.32/159.52  (step @p368 :rule eq_resolve :premises (@p366 @p363))
% 159.32/159.52  (step @p369 :rule implies_elim :premises (@p368))
% 159.32/159.52  (step @p370 :rule chain_m_resolution :premises (@p369 @p357) :args (@t190 @t74 (@list @t181)))
% 159.32/159.52  (step @p371 :rule cnf_or_pos :args (@t190))
% 159.32/159.52  (step @p372 :rule reordering :premises (@p371) :args ((or @t186 @t189 (not @t190))))
% 159.32/159.52  (step @p373 :rule eq-symm :args (@t102 tptp.eX))
% 159.32/159.52  (step @p374 :rule cong :premises (@p373) :args (@t191))
% 159.32/159.52  (step @p375 :rule cong :premises (@p90 @p374) :args ((=> @t14 @t191)))
% 159.32/159.52  (assume-push @p670 @t14)
% 159.32/159.52  (step @p377 :rule instantiate :premises (@p24) :args (@t98))
% 159.32/159.52  (step-pop @p671 :rule scope :premises (@p377))
% 159.32/159.52  (step @p378 :rule process_scope :premises (@p671) :args (@t191))
% 159.32/159.52  (step @p380 :rule eq_resolve :premises (@p378 @p375))
% 159.32/159.52  (step @p381 :rule implies_elim :premises (@p380))
% 159.32/159.52  (step @p382 :rule chain_m_resolution :premises (@p381 @p24) :args ((not @t192) @t74 @t83))
% 159.32/159.52  (step @p383 :rule refl :args (@t29))
% 159.32/159.52  (step @p384 :rule bool-double-not-elim :args (@t30))
% 159.32/159.52  (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or (not @t31) @t29)))
% 159.32/159.52  (step @p386 :rule bool-impl-elim :args (@t31 @t29))
% 159.32/159.52  (step @p387 :rule trans :premises (@p386 @p385))
% 159.32/159.52  (step @p388 :rule cong :premises (@p387) :args (@t32))
% 159.32/159.52  (step @p389 :rule eq_resolve :premises (@p30 @p388))
% 159.32/159.52  (step @p390 :rule instantiate :premises (@p389) :args (@t98))
% 159.32/159.52  (step @p391 :rule cnf_or_pos :args (@t197))
% 159.32/159.52  (step @p392 :rule reordering :premises (@p391) :args ((or @t82 @t196 (not @t197))))
% 159.32/159.52  (step @p393 :rule chain_m_resolution :premises (@p392 @p98 @p390) :args (@t196 @t97 (@list @t82 @t197)))
% 159.32/159.52  (step @p394 :rule instantiate :premises (@p86) :args (@t93))
% 159.32/159.52  (step @p395 :rule eq-symm :args (@t200 tptp.eY))
% 159.32/159.52  (step @p396 :rule cong :premises (@p395) :args (@t201))
% 159.32/159.52  (step @p397 :rule refl :args (@t15))
% 159.32/159.52  (step @p398 :rule cong :premises (@p397 @p396) :args ((=> @t15 @t201)))
% 159.32/159.52  (assume-push @p672 @t15)
% 159.32/159.52  (step @p400 :rule instantiate :premises (@p25) :args ((@list @t199 @t198)))
% 159.32/159.52  (step-pop @p673 :rule scope :premises (@p400))
% 159.32/159.52  (step @p401 :rule process_scope :premises (@p673) :args (@t201))
% 159.32/159.52  (step @p403 :rule eq_resolve :premises (@p401 @p398))
% 159.32/159.52  (step @p404 :rule implies_elim :premises (@p403))
% 159.32/159.52  (step @p405 :rule chain_m_resolution :premises (@p404 @p25) :args ((not @t202) @t74 (@list @t15)))
% 159.32/159.52  (step @p406 :rule cnf_or_pos :args (@t204))
% 159.32/159.52  (step @p407 :rule reordering :premises (@p406) :args ((or @t91 @t202 @t203 (not @t204))))
% 159.32/159.52  (step @p408 :rule chain_m_resolution :premises (@p407 @p122 @p405 @p394) :args (@t203 (@list true true false) (@list @t91 @t202 @t204)))
% 159.32/159.52  (step @p409 :rule instantiate :premises (@p389) :args (@t104))
% 159.32/159.52  (step @p410 :rule cnf_or_pos :args (@t207))
% 159.32/159.52  (step @p411 :rule reordering :premises (@p410) :args ((or @t202 @t206 (not @t207))))
% 159.32/159.52  (step @p412 :rule chain_m_resolution :premises (@p411 @p405 @p409) :args (@t206 @t97 (@list @t202 @t207)))
% 159.32/159.52  (step @p413 :rule eq-symm :args (@t9 @t1))
% 159.32/159.52  (step @p414 :rule cong :premises (@p413) :args (@t10))
% 159.32/159.52  (step @p415 :rule eq_resolve :premises (@p21 @p414))
% 159.32/159.52  (step @p416 :rule instantiate :premises (@p415) :args (@t101))
% 159.32/159.52  (step @p417 :rule instantiate :premises (@p415) :args (@t103))
% 159.32/159.52  (step @p418 :rule instantiate :premises (@p32) :args (@t103))
% 159.32/159.52  (step @p419 :rule instantiate :premises (@p32) :args (@t101))
% 159.32/159.52  (step @p420 :rule eq-symm :args (@t6 @t1))
% 159.32/159.52  (step @p421 :rule cong :premises (@p420) :args (@t7))
% 159.32/159.52  (step @p422 :rule eq_resolve :premises (@p19 @p421))
% 159.32/159.52  (step @p423 :rule instantiate :premises (@p422) :args (@t122))
% 159.32/159.52  (step @p424 :rule instantiate :premises (@p422) :args (@t124))
% 159.32/159.52  (step @p425 :rule instantiate :premises (@p389) :args (@t124))
% 159.32/159.52  (step @p426 :rule eq-symm :args (@t210 @t123))
% 159.32/159.52  (step @p427 :rule cong :premises (@p426) :args (@t211))
% 159.32/159.52  (step @p428 :rule refl :args (@t13))
% 159.32/159.52  (step @p429 :rule cong :premises (@p428 @p427) :args ((=> @t13 @t211)))
% 159.32/159.52  (assume-push @p674 @t13)
% 159.32/159.52  (step @p431 :rule instantiate :premises (@p23) :args ((@list @t209 @t208 tptp.eX @t100)))
% 159.32/159.52  (step-pop @p675 :rule scope :premises (@p431))
% 159.32/159.52  (step @p432 :rule process_scope :premises (@p675) :args (@t211))
% 159.32/159.52  (step @p434 :rule eq_resolve :premises (@p432 @p429))
% 159.32/159.52  (step @p435 :rule implies_elim :premises (@p434))
% 159.32/159.52  (step @p436 :rule chain_m_resolution :premises (@p435 @p23) :args ((not @t212) @t74 @t213))
% 159.32/159.52  (step @p437 :rule cnf_or_pos :args (@t216))
% 159.32/159.52  (step @p438 :rule reordering :premises (@p437) :args ((or @t212 @t215 (not @t216))))
% 159.32/159.52  (step @p439 :rule chain_m_resolution :premises (@p438 @p436 @p425) :args (@t215 @t97 (@list @t212 @t216)))
% 159.32/159.52  (step @p440 :rule instantiate :premises (@p389) :args (@t122))
% 159.32/159.52  (step @p441 :rule eq-symm :args (@t219 @t121))
% 159.32/159.52  (step @p442 :rule cong :premises (@p441) :args (@t220))
% 159.32/159.52  (step @p443 :rule cong :premises (@p428 @p442) :args ((=> @t13 @t220)))
% 159.32/159.52  (assume-push @p676 @t13)
% 159.32/159.52  (step @p445 :rule instantiate :premises (@p23) :args ((@list @t218 @t217 @t102 tptp.eX)))
% 159.32/159.52  (step-pop @p677 :rule scope :premises (@p445))
% 159.32/159.52  (step @p446 :rule process_scope :premises (@p677) :args (@t220))
% 159.32/159.52  (step @p448 :rule eq_resolve :premises (@p446 @p443))
% 159.32/159.52  (step @p449 :rule implies_elim :premises (@p448))
% 159.32/159.52  (step @p450 :rule chain_m_resolution :premises (@p449 @p23) :args ((not @t221) @t74 @t213))
% 159.32/159.52  (step @p451 :rule cnf_or_pos :args (@t225))
% 159.32/159.52  (step @p452 :rule reordering :premises (@p451) :args ((or @t221 @t224 (not @t225))))
% 159.32/159.52  (step @p453 :rule chain_m_resolution :premises (@p452 @p450 @p440) :args (@t224 @t97 (@list @t221 @t225)))
% 159.32/159.52  (assume-push @p678 @t85)
% 159.32/159.52  (assume-push @p679 @t203)
% 159.32/159.52  (assume-push @p680 @t196)
% 159.32/159.52  (assume-push @p681 @t206)
% 159.32/159.52  (assume-push @p682 @t227)
% 159.32/159.52  (assume-push @p683 @t228)
% 159.32/159.52  (assume-push @p684 @t230)
% 159.32/159.52  (assume-push @p685 @t231)
% 159.32/159.52  (assume-push @p686 @t215)
% 159.32/159.52  (assume-push @p687 @t224)
% 159.32/159.52  (assume-push @p688 @t232)
% 159.32/159.52  (assume-push @p689 @t234)
% 159.32/159.52  (assume-push @p690 @t186)
% 159.32/159.52  (assume-push @p691 @t228)
% 159.32/159.52  (assume-push @p692 @t232)
% 159.32/159.52  (assume-push @p693 @t85)
% 159.32/159.52  (assume-push @p694 @t203)
% 159.32/159.52  (assume-push @p695 @t196)
% 159.32/159.52  (assume-push @p696 @t230)
% 159.32/159.52  (assume-push @p697 @t224)
% 159.32/159.52  (assume-push @p698 @t186)
% 159.32/159.52  (assume-push @p699 @t215)
% 159.32/159.52  (assume-push @p700 @t231)
% 159.32/159.52  (assume-push @p701 @t206)
% 159.32/159.52  (assume-push @p702 @t234)
% 159.32/159.52  (assume-push @p703 @t227)
% 159.32/159.52  (step @p480 :rule symm :premises (@p417))
% 159.32/159.52  (step @p481 :rule symm :premises (@p423))
% 159.32/159.52  (step @p482 :rule symm :premises (@p678))
% 159.32/159.52  (step @p483 :rule symm :premises (@p408))
% 159.32/159.52  (step @p484 :rule cong :premises (@p482 @p483) :args (@t194))
% 159.32/159.52  (step @p485 :rule trans :premises (@p393 @p484))
% 159.32/159.52  (step @p486 :rule cong :premises (@p485 @p482) :args (@t229))
% 159.32/159.52  (step @p487 :rule trans :premises (@p418 @p486))
% 159.32/159.52  (step @p488 :rule cong :premises (@p487 @p487) :args (@t223))
% 159.32/159.52  (step @p489 :rule symm :premises (@p439))
% 159.32/159.52  (step @p490 :rule symm :premises (@p419))
% 159.32/159.52  (step @p491 :rule symm :premises (@p412))
% 159.32/159.52  (step @p492 :rule cong :premises (@p408 @p678) :args (@t100))
% 159.32/159.52  (step @p493 :rule trans :premises (@p492 @p491))
% 159.32/159.52  (step @p494 :rule cong :premises (@p678 @p493) :args (@t123))
% 159.32/159.52  (step @p495 :rule trans :premises (@p494 @p490))
% 159.32/159.52  (step @p496 :rule cong :premises (@p495 @p495) :args (@t169))
% 159.32/159.52  (step @p497 :rule trans :premises (@p496 @p489 @p690 @p453 @p488))
% 159.32/159.53  (step @p498 :rule cong :premises (@p497) :args (@t233))
% 159.32/159.53  (step @p499 :rule trans :premises (@p424 @p498 @p481))
% 159.32/159.53  (step @p500 :rule cong :premises (@p499) :args (@t226))
% 159.32/159.53  (step @p501 :rule trans :premises (@p416 @p500 @p480))
% 159.32/159.53  (step-pop @p704 :rule scope :premises (@p501))
% 159.32/159.53  (step-pop @p705 :rule scope :premises (@p704))
% 159.32/159.53  (step-pop @p706 :rule scope :premises (@p705))
% 159.32/159.53  (step-pop @p707 :rule scope :premises (@p706))
% 159.32/159.53  (step-pop @p708 :rule scope :premises (@p707))
% 159.32/159.53  (step-pop @p709 :rule scope :premises (@p708))
% 159.32/159.53  (step-pop @p710 :rule scope :premises (@p709))
% 159.32/159.53  (step-pop @p711 :rule scope :premises (@p710))
% 159.32/159.53  (step-pop @p712 :rule scope :premises (@p711))
% 159.32/159.53  (step-pop @p713 :rule scope :premises (@p712))
% 159.32/159.53  (step-pop @p714 :rule scope :premises (@p713))
% 159.32/159.53  (step-pop @p715 :rule scope :premises (@p714))
% 159.32/159.53  (step-pop @p716 :rule scope :premises (@p715))
% 159.32/159.53  (step @p502 :rule process_scope :premises (@p716) :args (@t192))
% 159.32/159.53  (step @p516 :rule and_intro :premises (@p417 @p423 @p678 @p408 @p393 @p418 @p453 @p690 @p439 @p419 @p412 @p424 @p416))
% 159.32/159.53  (step @p517 :rule modus_ponens :premises (@p516 @p502))
% 159.32/159.53  (step-pop @p717 :rule scope :premises (@p517))
% 159.32/159.53  (step-pop @p718 :rule scope :premises (@p717))
% 159.32/159.53  (step-pop @p719 :rule scope :premises (@p718))
% 159.32/159.53  (step-pop @p720 :rule scope :premises (@p719))
% 159.32/159.53  (step-pop @p721 :rule scope :premises (@p720))
% 159.32/159.53  (step-pop @p722 :rule scope :premises (@p721))
% 159.32/159.53  (step-pop @p723 :rule scope :premises (@p722))
% 159.32/159.53  (step-pop @p724 :rule scope :premises (@p723))
% 159.32/159.53  (step-pop @p725 :rule scope :premises (@p724))
% 159.32/159.53  (step-pop @p726 :rule scope :premises (@p725))
% 159.32/159.53  (step-pop @p727 :rule scope :premises (@p726))
% 159.32/159.53  (step-pop @p728 :rule scope :premises (@p727))
% 159.32/159.53  (step-pop @p729 :rule scope :premises (@p728))
% 159.32/159.53  (step @p518 :rule process_scope :premises (@p729) :args (@t192))
% 159.32/159.53  (step @p532 :rule implies_elim :premises (@p518))
% 159.32/159.53  (step @p533 :rule cnf_and_neg :args (@t235))
% 159.32/159.53  (step @p534 :rule resolution :premises (@p533 @p532) :args (true @t235))
% 159.32/159.53  (step @p535 :rule reordering :premises (@p534) :args ((or (not @t85) @t192 (not @t203) (not @t196) (not @t206) (not @t227) (not @t228) (not @t230) (not @t231) (not @t215) (not @t224) (not @t232) (not @t234) (not @t186))))
% 159.32/159.53  (step @p536 :rule chain_m_resolution :premises (@p535 @p453 @p439 @p424 @p423 @p419 @p418 @p417 @p416 @p412 @p408 @p393 @p382 @p372 @p370 @p345 @p180 @p179 @p178 @p177 @p176 @p175 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p137 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p39 @p100 @p98 @p87 @p63 @p61) :args (@t68 (@list false false false false false false false false false false false true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false false false) (@list @t224 @t215 @t234 @t232 @t231 @t230 @t228 @t227 @t206 @t203 @t196 @t192 @t186 @t190 @t179 @t178 @t175 @t174 @t173 @t172 @t130 @t171 @t168 @t163 @t161 @t158 @t155 @t153 @t150 @t111 @t149 @t148 @t146 @t145 @t144 @t141 @t138 @t136 @t134 @t94 @t52 @t85 @t82 @t86 @t72 @t73)))
% 159.32/159.53  (step @p537 :rule eq-symm :args (@t67 tptp.eX))
% 159.32/159.53  (step @p538 :rule cong :premises (@p537) :args (@t236))
% 159.32/159.53  (step @p539 :rule refl :args (@t16))
% 159.32/159.53  (step @p540 :rule cong :premises (@p539 @p538) :args ((=> @t16 @t236)))
% 159.32/159.53  (assume-push @p730 @t16)
% 159.32/159.53  (step @p542 :rule instantiate :premises (@p26) :args ((@list @t66 @t65)))
% 159.32/159.53  (step-pop @p731 :rule scope :premises (@p542))
% 159.32/159.53  (step @p543 :rule process_scope :premises (@p731) :args (@t236))
% 159.32/159.53  (step @p545 :rule eq_resolve :premises (@p543 @p540))
% 159.32/159.53  (step @p546 :rule implies_elim :premises (@p545))
% 159.32/159.53  (step @p547 false :rule chain_m_resolution :premises (@p546 @p536 @p26) :args (false (@list false false) (@list @t68 @t16)))
% 159.32/159.53  )
% 159.32/159.53  % SZS output end Proof
% 159.32/159.53  % cvc5 exiting
%------------------------------------------------------------------------------