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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : RNG078+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n023.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 08:45:36 AM UTC 2026

% Result   : Theorem 0.97s 1.14s
% Output   : Proof 0.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG078+2 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n023.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 14:06:58 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.97/1.14  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.97/1.14  % SZS status Theorem
% 0.97/1.14  % SZS output start Proof
% 0.97/1.14  (
% 0.97/1.14  (declare-sort $$unsorted 0)
% 0.97/1.14  (declare-const tptp.xN $$unsorted)
% 0.97/1.14  (declare-const tptp.xS $$unsorted)
% 0.97/1.14  (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted))
% 0.97/1.14  (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool))
% 0.97/1.14  (declare-const tptp.smndt0 (-> $$unsorted $$unsorted))
% 0.97/1.14  (declare-const tptp.sz00 $$unsorted)
% 0.97/1.14  (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool))
% 0.97/1.14  (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.97/1.14  (declare-const tptp.xp $$unsorted)
% 0.97/1.14  (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted))
% 0.97/1.14  (declare-const tptp.xG $$unsorted)
% 0.97/1.14  (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.97/1.14  (declare-const tptp.xF $$unsorted)
% 0.97/1.14  (declare-const tptp.sz0z00 $$unsorted)
% 0.97/1.14  (declare-const tptp.xC $$unsorted)
% 0.97/1.14  (declare-const tptp.xR $$unsorted)
% 0.97/1.14  (declare-const tptp.aScalar0 (-> $$unsorted Bool))
% 0.97/1.14  (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.97/1.14  (declare-const tptp.xs $$unsorted)
% 0.97/1.14  (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted))
% 0.97/1.14  (declare-const tptp.xq $$unsorted)
% 0.97/1.14  (declare-const tptp.xP $$unsorted)
% 0.97/1.14  (declare-const tptp.aVector0 (-> $$unsorted Bool))
% 0.97/1.14  (declare-const tptp.xA $$unsorted)
% 0.97/1.14  (declare-const tptp.xB $$unsorted)
% 0.97/1.14  (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool))
% 0.97/1.14  (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted))
% 0.97/1.14  (declare-const tptp.xt $$unsorted)
% 0.97/1.14  (declare-const tptp.xD $$unsorted)
% 0.97/1.14  (declare-const tptp.xE $$unsorted)
% 0.97/1.14  (declare-const tptp.xH $$unsorted)
% 0.97/1.14  (define @t1 () (@var "W0" $$unsorted))
% 0.97/1.14  (define @t2 () (tptp.aNaturalNumber0 @t1))
% 0.97/1.14  (define @t3 () (@list @t1))
% 0.97/1.14  (define @t4 () (tptp.szszuzczcdt0 @t1))
% 0.97/1.14  (define @t5 () (@var "W1" $$unsorted))
% 0.97/1.14  (define @t6 () (tptp.szszuzczcdt0 @t5))
% 0.97/1.14  (define @t7 () (tptp.aNaturalNumber0 @t5))
% 0.97/1.14  (define @t8 () (@list @t5))
% 0.97/1.14  (define @t9 () (= @t1 @t5))
% 0.97/1.14  (define @t10 () (and @t2 @t7))
% 0.97/1.14  (define @t11 () (@list @t1 @t5))
% 0.97/1.14  (define @t12 () (tptp.aScalar0 @t1))
% 0.97/1.14  (define @t13 () (tptp.sdtpldt0 @t1 @t5))
% 0.97/1.14  (define @t14 () (tptp.aScalar0 @t13))
% 0.97/1.14  (define @t15 () (tptp.aScalar0 @t5))
% 0.97/1.14  (define @t16 () (and @t12 @t15))
% 0.97/1.14  (define @t17 () (forall @t11 (=> @t16 @t14)))
% 0.97/1.14  (define @t18 () (tptp.sdtasdt0 @t1 @t5))
% 0.97/1.14  (define @t19 () (tptp.aScalar0 @t18))
% 0.97/1.14  (define @t20 () (forall @t11 (=> @t16 @t19)))
% 0.97/1.14  (define @t21 () (tptp.smndt0 @t1))
% 0.97/1.14  (define @t22 () (@var "W2" $$unsorted))
% 0.97/1.14  (define @t23 () (tptp.sdtasdt0 @t5 @t22))
% 0.97/1.14  (define @t24 () (tptp.sdtpldt0 @t5 @t22))
% 0.97/1.14  (define @t25 () (and (= (tptp.sdtpldt0 @t13 @t22) (tptp.sdtpldt0 @t1 @t24)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t18 @t22) (tptp.sdtasdt0 @t1 @t23)) (= @t18 (tptp.sdtasdt0 @t5 @t1))))
% 0.97/1.14  (define @t26 () (tptp.aScalar0 @t22))
% 0.97/1.14  (define @t27 () (and @t12 @t15 @t26))
% 0.97/1.14  (define @t28 () (@list @t1 @t5 @t22))
% 0.97/1.14  (define @t29 () (forall @t28 (=> @t27 @t25)))
% 0.97/1.14  (define @t30 () (tptp.sdtasdt0 @t1 @t22))
% 0.97/1.14  (define @t31 () (@var "W3" $$unsorted))
% 0.97/1.14  (define @t32 () (tptp.sdtasdt0 @t5 @t31))
% 0.97/1.14  (define @t33 () (and @t12 @t15 @t26 (tptp.aScalar0 @t31)))
% 0.97/1.14  (define @t34 () (@list @t1 @t5 @t22 @t31))
% 0.97/1.14  (define @t35 () (tptp.smndt0 @t18))
% 0.97/1.14  (define @t36 () (tptp.smndt0 @t5))
% 0.97/1.14  (define @t37 () (tptp.sdtlseqdt0 @t1 @t5))
% 0.97/1.14  (define @t38 () (tptp.sdtlseqdt0 @t5 @t1))
% 0.97/1.14  (define @t39 () (tptp.sdtlseqdt0 @t22 @t31))
% 0.97/1.14  (define @t40 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5))
% 0.97/1.14  (define @t41 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1))
% 0.97/1.14  (define @t42 () (tptp.sdtasdt0 @t1 @t1))
% 0.97/1.14  (define @t43 () (tptp.aVector0 @t1))
% 0.97/1.14  (define @t44 () (tptp.aDimensionOf0 @t1))
% 0.97/1.14  (define @t45 () (tptp.aDimensionOf0 @t5))
% 0.97/1.14  (define @t46 () (tptp.aVector0 @t5))
% 0.97/1.14  (define @t47 () (tptp.sziznziztdt0 @t1))
% 0.97/1.14  (define @t48 () (tptp.sziznziztdt0 @t5))
% 0.97/1.14  (define @t49 () (= @t45 tptp.sz00))
% 0.97/1.14  (define @t50 () (= @t44 @t45))
% 0.97/1.14  (define @t51 () (and @t50 (not @t49)))
% 0.97/1.14  (define @t52 () (and @t43 @t46))
% 0.97/1.14  (define @t53 () (tptp.sdtasasdt0 @t1 @t5))
% 0.97/1.14  (define @t54 () (tptp.sdtasasdt0 @t1 @t1))
% 0.97/1.14  (define @t55 () (tptp.aDimensionOf0 tptp.xs))
% 0.97/1.14  (define @t56 () (tptp.aDimensionOf0 tptp.xt))
% 0.97/1.14  (define @t57 () (tptp.aScalar0 tptp.xA))
% 0.97/1.14  (define @t58 () (tptp.aScalar0 tptp.xB))
% 0.97/1.14  (define @t59 () (tptp.aScalar0 tptp.xC))
% 0.97/1.14  (define @t60 () (tptp.aScalar0 tptp.xD))
% 0.97/1.14  (define @t61 () (tptp.aScalar0 tptp.xE))
% 0.97/1.14  (define @t62 () (tptp.sdtasdt0 tptp.xA tptp.xA))
% 0.97/1.14  (define @t63 () (tptp.aScalar0 tptp.xF))
% 0.97/1.14  (define @t64 () (tptp.sdtasdt0 tptp.xB tptp.xB))
% 0.97/1.14  (define @t65 () (tptp.aScalar0 tptp.xG))
% 0.97/1.14  (define @t66 () (tptp.sdtasdt0 tptp.xA tptp.xB))
% 0.97/1.14  (define @t67 () (tptp.aScalar0 tptp.xH))
% 0.97/1.14  (define @t68 () (tptp.sdtasdt0 tptp.xC tptp.xG))
% 0.97/1.14  (define @t69 () (tptp.aScalar0 tptp.xR))
% 0.97/1.14  (define @t70 () (tptp.sdtasdt0 tptp.xE tptp.xH))
% 0.97/1.14  (define @t71 () (tptp.sdtasdt0 tptp.xF tptp.xD))
% 0.97/1.14  (define @t72 () (tptp.aScalar0 tptp.xS))
% 0.97/1.14  (define @t73 () (tptp.sdtasdt0 tptp.xC tptp.xD))
% 0.97/1.14  (define @t74 () (tptp.sdtasdt0 tptp.xE tptp.xE))
% 0.97/1.14  (define @t75 () (tptp.sdtpldt0 tptp.xR tptp.xS))
% 0.97/1.14  (define @t76 () (tptp.sdtpldt0 tptp.xP tptp.xP))
% 0.97/1.14  (define @t77 () (tptp.sdtasdt0 tptp.xH tptp.xH))
% 0.97/1.14  (define @t78 () (tptp.sdtpldt0 @t73 (tptp.sdtpldt0 @t75 @t77)))
% 0.97/1.14  (define @t79 () (tptp.sdtpldt0 @t76 @t77))
% 0.97/1.14  (define @t80 () (tptp.sdtpldt0 @t74 @t79))
% 0.97/1.14  (define @t81 () (tptp.sdtlseqdt0 @t80 @t78))
% 0.97/1.14  (define @t82 () (tptp.sdtasdt0 tptp.xH tptp.xE))
% 0.97/1.14  (define @t83 () (tptp.sdtpldt0 @t82 @t77))
% 0.97/1.14  (define @t84 () (tptp.sdtpldt0 @t70 @t83))
% 0.97/1.14  (define @t85 () (tptp.sdtasdt0 tptp.xF tptp.xG))
% 0.97/1.14  (define @t86 () (tptp.sdtpldt0 @t73 @t68))
% 0.97/1.14  (define @t87 () (tptp.sdtpldt0 @t86 (tptp.sdtpldt0 @t71 @t85)))
% 0.97/1.14  (define @t88 () (tptp.sdtpldt0 @t74 @t70))
% 0.97/1.14  (define @t89 () (tptp.sdtpldt0 @t88 @t83))
% 0.97/1.14  (define @t90 () (not @t26))
% 0.97/1.14  (define @t91 () (not @t15))
% 0.97/1.14  (define @t92 () (not @t12))
% 0.97/1.14  (define @t93 () (or @t92 @t91 @t90 @t25))
% 0.97/1.14  (define @t94 () (or @t92 @t91 @t90))
% 0.97/1.14  (define @t95 () (tptp.sdtasdt0 @t86 @t71))
% 0.97/1.14  (define @t96 () (= @t95 (tptp.sdtasdt0 @t71 @t86)))
% 0.97/1.14  (define @t97 () (= (tptp.sdtasdt0 @t95 @t85) (tptp.sdtasdt0 @t86 (tptp.sdtasdt0 @t71 @t85))))
% 0.97/1.14  (define @t98 () (tptp.sdtpldt0 @t71 @t86))
% 0.97/1.14  (define @t99 () (tptp.sdtpldt0 @t86 @t71))
% 0.97/1.14  (define @t100 () (= @t99 @t98))
% 0.97/1.14  (define @t101 () (tptp.sdtpldt0 @t99 @t85))
% 0.97/1.14  (define @t102 () (and (= @t101 @t87) @t100 @t97 @t96))
% 0.97/1.14  (define @t103 () (tptp.aScalar0 @t85))
% 0.97/1.14  (define @t104 () (not @t103))
% 0.97/1.14  (define @t105 () (tptp.aScalar0 @t71))
% 0.97/1.14  (define @t106 () (not @t105))
% 0.97/1.14  (define @t107 () (tptp.aScalar0 @t86))
% 0.97/1.14  (define @t108 () (not @t107))
% 0.97/1.14  (define @t109 () (or @t108 @t106 @t104 @t102))
% 0.97/1.14  (define @t110 () (forall @t28 @t93))
% 0.97/1.14  (define @t111 () (= @t87 @t101))
% 0.97/1.14  (define @t112 () (and @t111 @t100 @t97 @t96))
% 0.97/1.14  (define @t113 () (or @t108 @t106 @t104 @t112))
% 0.97/1.14  (define @t114 () (@list false))
% 0.97/1.14  (define @t115 () (@list @t110))
% 0.97/1.14  (define @t116 () (or @t92 @t91))
% 0.97/1.14  (define @t117 () (not @t16))
% 0.97/1.14  (define @t118 () (tptp.aScalar0 @t68))
% 0.97/1.14  (define @t119 () (tptp.aScalar0 @t73))
% 0.97/1.14  (define @t120 () (not @t60))
% 0.97/1.14  (define @t121 () (not @t59))
% 0.97/1.14  (define @t122 () (or @t121 @t120 @t119))
% 0.97/1.14  (define @t123 () (@list false false false))
% 0.97/1.14  (define @t124 () (not @t118))
% 0.97/1.14  (define @t125 () (not @t119))
% 0.97/1.14  (define @t126 () (or @t125 @t124 @t107))
% 0.97/1.14  (define @t127 () (not @t65))
% 0.97/1.14  (define @t128 () (not @t63))
% 0.97/1.14  (define @t129 () (or @t128 @t127 @t103))
% 0.97/1.14  (define @t130 () (@list false false false false))
% 0.97/1.14  (define @t131 () (not @t112))
% 0.97/1.14  (define @t132 () (@list @t112))
% 0.97/1.14  (define @t133 () (tptp.sdtasdt0 tptp.xF @t64))
% 0.97/1.14  (define @t134 () (tptp.sdtasdt0 tptp.xB tptp.xF))
% 0.97/1.14  (define @t135 () (tptp.sdtasdt0 tptp.xF tptp.xB))
% 0.97/1.14  (define @t136 () (= @t135 @t134))
% 0.97/1.14  (define @t137 () (= (tptp.sdtasdt0 @t135 tptp.xB) @t133))
% 0.97/1.14  (define @t138 () (tptp.sdtpldt0 tptp.xB tptp.xF))
% 0.97/1.14  (define @t139 () (tptp.sdtpldt0 tptp.xF tptp.xB))
% 0.97/1.14  (define @t140 () (= @t139 @t138))
% 0.97/1.14  (define @t141 () (and (= (tptp.sdtpldt0 @t139 tptp.xB) (tptp.sdtpldt0 tptp.xF (tptp.sdtpldt0 tptp.xB tptp.xB))) @t140 @t137 @t136))
% 0.97/1.14  (define @t142 () (not @t58))
% 0.97/1.14  (define @t143 () (or @t128 @t142 @t142 @t141))
% 0.97/1.14  (define @t144 () (not @t141))
% 0.97/1.14  (define @t145 () (@list @t141))
% 0.97/1.14  (define @t146 () (tptp.sdtasdt0 @t134 tptp.xB))
% 0.97/1.14  (define @t147 () (= @t146 (tptp.sdtasdt0 tptp.xB @t135)))
% 0.97/1.14  (define @t148 () (= (tptp.sdtpldt0 @t138 tptp.xB) (tptp.sdtpldt0 tptp.xB @t139)))
% 0.97/1.14  (define @t149 () (and @t148 (= @t138 @t139) @t147 (= @t134 @t135)))
% 0.97/1.14  (define @t150 () (or @t142 @t128 @t142 @t149))
% 0.97/1.14  (define @t151 () (and @t148 @t140 @t147 @t136))
% 0.97/1.14  (define @t152 () (or @t142 @t128 @t142 @t151))
% 0.97/1.14  (define @t153 () (tptp.sdtasdt0 tptp.xB @t62))
% 0.97/1.14  (define @t154 () (tptp.sdtasdt0 tptp.xB tptp.xA))
% 0.97/1.14  (define @t155 () (= (tptp.sdtasdt0 @t154 tptp.xA) @t153))
% 0.97/1.14  (define @t156 () (tptp.sdtpldt0 tptp.xB tptp.xA))
% 0.97/1.14  (define @t157 () (tptp.sdtpldt0 tptp.xA tptp.xB))
% 0.97/1.14  (define @t158 () (= (tptp.sdtpldt0 @t156 tptp.xA) (tptp.sdtpldt0 tptp.xB (tptp.sdtpldt0 tptp.xA tptp.xA))))
% 0.97/1.14  (define @t159 () (= @t154 @t66))
% 0.97/1.14  (define @t160 () (= @t156 @t157))
% 0.97/1.14  (define @t161 () (and @t158 @t160 @t155 @t159))
% 0.97/1.14  (define @t162 () (not @t57))
% 0.97/1.14  (define @t163 () (or @t142 @t162 @t162 @t161))
% 0.97/1.14  (define @t164 () (= @t66 @t154))
% 0.97/1.14  (define @t165 () (= @t157 @t156))
% 0.97/1.14  (define @t166 () (and @t158 @t165 @t155 @t164))
% 0.97/1.14  (define @t167 () (or @t142 @t162 @t162 @t166))
% 0.97/1.14  (define @t168 () (and (= (tptp.sdtpldt0 @t157 tptp.xH) (tptp.sdtpldt0 tptp.xA (tptp.sdtpldt0 tptp.xB tptp.xH))) @t165 (= (tptp.sdtasdt0 @t66 tptp.xH) (tptp.sdtasdt0 tptp.xA (tptp.sdtasdt0 tptp.xB tptp.xH))) @t164))
% 0.97/1.14  (define @t169 () (not @t67))
% 0.97/1.14  (define @t170 () (or @t162 @t142 @t169 @t168))
% 0.97/1.14  (define @t171 () (tptp.sdtasdt0 tptp.xH tptp.xA))
% 0.97/1.14  (define @t172 () (tptp.sdtasdt0 tptp.xA tptp.xH))
% 0.97/1.14  (define @t173 () (= @t171 @t172))
% 0.97/1.14  (define @t174 () (tptp.sdtpldt0 tptp.xA tptp.xH))
% 0.97/1.14  (define @t175 () (tptp.sdtpldt0 tptp.xH tptp.xA))
% 0.97/1.14  (define @t176 () (and (= (tptp.sdtpldt0 @t175 tptp.xB) (tptp.sdtpldt0 tptp.xH @t157)) (= @t175 @t174) (= (tptp.sdtasdt0 @t171 tptp.xB) (tptp.sdtasdt0 tptp.xH @t66)) @t173))
% 0.97/1.14  (define @t177 () (or @t169 @t162 @t142 @t176))
% 0.97/1.14  (define @t178 () (tptp.sdtasdt0 tptp.xB @t172))
% 0.97/1.14  (define @t179 () (= (tptp.sdtasdt0 @t154 tptp.xH) @t178))
% 0.97/1.14  (define @t180 () (= (tptp.sdtpldt0 @t156 tptp.xH) (tptp.sdtpldt0 tptp.xB @t174)))
% 0.97/1.14  (define @t181 () (and @t180 @t160 @t179 @t159))
% 0.97/1.14  (define @t182 () (or @t142 @t162 @t169 @t181))
% 0.97/1.14  (define @t183 () (and @t180 @t165 @t179 @t164))
% 0.97/1.14  (define @t184 () (or @t142 @t162 @t169 @t183))
% 0.97/1.14  (define @t185 () (tptp.sdtasdt0 @t73 @t68))
% 0.97/1.14  (define @t186 () (= @t99 (tptp.sdtpldt0 @t73 (tptp.sdtpldt0 @t68 @t71))))
% 0.97/1.14  (define @t187 () (and @t186 (= @t86 (tptp.sdtpldt0 @t68 @t73)) (= (tptp.sdtasdt0 @t185 @t71) (tptp.sdtasdt0 @t73 (tptp.sdtasdt0 @t68 @t71))) (= @t185 (tptp.sdtasdt0 @t68 @t73))))
% 0.97/1.14  (define @t188 () (or @t125 @t124 @t106 @t187))
% 0.97/1.14  (define @t189 () (tptp.sdtpldt0 @t73 @t75))
% 0.97/1.14  (define @t190 () (tptp.sdtasdt0 @t73 @t75))
% 0.97/1.14  (define @t191 () (= @t190 (tptp.sdtasdt0 @t75 @t73)))
% 0.97/1.14  (define @t192 () (= (tptp.sdtasdt0 @t190 @t77) (tptp.sdtasdt0 @t73 (tptp.sdtasdt0 @t75 @t77))))
% 0.97/1.14  (define @t193 () (tptp.sdtpldt0 @t75 @t73))
% 0.97/1.14  (define @t194 () (= @t189 @t193))
% 0.97/1.14  (define @t195 () (tptp.sdtpldt0 @t189 @t77))
% 0.97/1.14  (define @t196 () (and (= @t195 @t78) @t194 @t192 @t191))
% 0.97/1.14  (define @t197 () (tptp.aScalar0 @t77))
% 0.97/1.14  (define @t198 () (not @t197))
% 0.97/1.14  (define @t199 () (tptp.aScalar0 @t75))
% 0.97/1.14  (define @t200 () (not @t199))
% 0.97/1.14  (define @t201 () (or @t125 @t200 @t198 @t196))
% 0.97/1.14  (define @t202 () (= @t78 @t195))
% 0.97/1.14  (define @t203 () (and @t202 @t194 @t192 @t191))
% 0.97/1.14  (define @t204 () (or @t125 @t200 @t198 @t203))
% 0.97/1.14  (define @t205 () (not @t72))
% 0.97/1.14  (define @t206 () (not @t69))
% 0.97/1.14  (define @t207 () (or @t206 @t205 @t199))
% 0.97/1.14  (define @t208 () (or @t169 @t169 @t197))
% 0.97/1.14  (define @t209 () (@list false false))
% 0.97/1.14  (define @t210 () (not @t203))
% 0.97/1.14  (define @t211 () (@list @t203))
% 0.97/1.14  (define @t212 () (tptp.aScalar0 @t74))
% 0.97/1.14  (define @t213 () (not @t61))
% 0.97/1.14  (define @t214 () (or @t213 @t213 @t212))
% 0.97/1.14  (define @t215 () (tptp.aScalar0 @t82))
% 0.97/1.14  (define @t216 () (or @t169 @t213 @t215))
% 0.97/1.14  (define @t217 () (tptp.aScalar0 @t83))
% 0.97/1.14  (define @t218 () (not @t215))
% 0.97/1.14  (define @t219 () (or @t218 @t198 @t217))
% 0.97/1.14  (define @t220 () (tptp.aScalar0 @t70))
% 0.97/1.14  (define @t221 () (tptp.sdtasdt0 @t74 @t70))
% 0.97/1.14  (define @t222 () (= @t89 (tptp.sdtpldt0 @t74 @t84)))
% 0.97/1.14  (define @t223 () (and @t222 (= @t88 (tptp.sdtpldt0 @t70 @t74)) (= (tptp.sdtasdt0 @t221 @t83) (tptp.sdtasdt0 @t74 (tptp.sdtasdt0 @t70 @t83))) (= @t221 (tptp.sdtasdt0 @t70 @t74))))
% 0.97/1.14  (define @t224 () (not @t217))
% 0.97/1.14  (define @t225 () (not @t220))
% 0.97/1.14  (define @t226 () (not @t212))
% 0.97/1.14  (define @t227 () (or @t226 @t225 @t224 @t223))
% 0.97/1.14  (assume @p1 (forall @t3 (=> @t2 true)))
% 0.97/1.14  (assume @p2 (tptp.aNaturalNumber0 tptp.sz00))
% 0.97/1.14  (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00))))))
% 0.97/1.14  (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6))))))
% 0.97/1.14  (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9))))
% 0.97/1.14  (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true))))
% 0.97/1.14  (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4))))
% 0.97/1.14  (assume @p8 (forall @t3 (=> @t12 true)))
% 0.97/1.14  (assume @p9 (tptp.aScalar0 tptp.sz0z00))
% 0.97/1.14  (assume @p10 @t17)
% 0.97/1.14  (assume @p11 @t20)
% 0.97/1.14  (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t21))))
% 0.97/1.14  (assume @p13 (forall @t3 (=> @t12 (and (= (tptp.sdtpldt0 @t1 tptp.sz0z00) @t1) (= (tptp.sdtpldt0 tptp.sz0z00 @t1) @t1) (= (tptp.sdtasdt0 @t1 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 @t1) tptp.sz0z00) (= (tptp.sdtpldt0 @t1 @t21) tptp.sz0z00) (= (tptp.sdtpldt0 @t21 @t1) tptp.sz0z00) (= (tptp.smndt0 @t21) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00)))))
% 0.97/1.14  (assume @p14 @t29)
% 0.97/1.14  (assume @p15 (forall @t28 (=> @t27 (and (= (tptp.sdtasdt0 @t1 @t24) (tptp.sdtpldt0 @t18 @t30)) (= (tptp.sdtasdt0 @t13 @t22) (tptp.sdtpldt0 @t30 @t23))))))
% 0.97/1.14  (assume @p16 (forall @t34 (=> @t33 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t22 @t31)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t30 (tptp.sdtasdt0 @t1 @t31)) (tptp.sdtpldt0 @t23 @t32))))))
% 0.97/1.14  (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t36) @t35) (= (tptp.sdtasdt0 @t21 @t5) @t35)))))
% 0.97/1.14  (assume @p18 (forall @t11 (=> @t16 (= (tptp.sdtasdt0 @t21 @t36) @t18))))
% 0.97/1.14  (assume @p19 (forall @t11 (=> @t16 (=> @t37 true))))
% 0.97/1.14  (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1))))
% 0.97/1.14  (assume @p21 (forall @t11 (=> @t16 (=> (and @t37 @t38) @t9))))
% 0.97/1.14  (assume @p22 (forall @t28 (=> @t27 (=> (and @t37 (tptp.sdtlseqdt0 @t5 @t22)) (tptp.sdtlseqdt0 @t1 @t22)))))
% 0.97/1.14  (assume @p23 (forall @t34 (=> @t33 (=> (and @t37 @t39) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t22) (tptp.sdtpldt0 @t5 @t31))))))
% 0.97/1.14  (assume @p24 (forall @t34 (=> @t33 (=> (and @t37 (tptp.sdtlseqdt0 tptp.sz0z00 @t22) @t39) (tptp.sdtlseqdt0 @t30 @t32)))))
% 0.97/1.14  (assume @p25 (forall @t11 (=> @t16 (or @t37 @t38))))
% 0.97/1.14  (assume @p26 (forall @t11 (=> @t16 (=> (and @t41 @t40) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t18))))))
% 0.97/1.14  (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t42))))
% 0.97/1.14  (assume @p28 (forall @t11 (=> @t16 (=> (and @t41 @t40 (= @t42 (tptp.sdtasdt0 @t5 @t5))) @t9))))
% 0.97/1.14  (assume @p29 (forall @t3 (=> @t43 true)))
% 0.97/1.14  (assume @p30 (forall @t3 (=> @t43 (tptp.aNaturalNumber0 @t44))))
% 0.97/1.14  (assume @p31 (forall @t11 (=> (and @t43 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5)))))
% 0.97/1.14  (assume @p32 (forall @t3 (=> @t43 (=> (not (= @t44 tptp.sz00)) (forall @t8 (= (= @t5 @t47) (and @t46 (= (tptp.szszuzczcdt0 @t45) @t44) (forall (@list @t22) (=> (tptp.aNaturalNumber0 @t22) (= (tptp.sdtlbdtrb0 @t5 @t22) (tptp.sdtlbdtrb0 @t1 @t22)))))))))))
% 0.97/1.14  (assume @p33 (forall @t11 (=> @t52 (=> @t51 (= (tptp.aDimensionOf0 @t47) (tptp.aDimensionOf0 @t48))))))
% 0.97/1.14  (assume @p34 (forall @t11 (=> @t52 (=> @t50 (tptp.aScalar0 @t53)))))
% 0.97/1.14  (assume @p35 (forall @t11 (=> @t52 (=> (and @t50 @t49) (= @t53 tptp.sz0z00)))))
% 0.97/1.14  (assume @p36 (forall @t11 (=> @t52 (=> @t51 (= @t53 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t47 @t48) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t44) (tptp.sdtlbdtrb0 @t5 @t45))))))))
% 0.97/1.14  (assume @p37 (forall @t3 (=> @t43 (tptp.sdtlseqdt0 tptp.sz0z00 @t54))))
% 0.97/1.14  (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt)))
% 0.97/1.14  (assume @p39 (forall @t11 (=> @t52 (=> @t50 (=> (tptp.iLess0 @t44 @t55) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t53 @t53) (tptp.sdtasdt0 @t54 (tptp.sdtasasdt0 @t5 @t5))))))))
% 0.97/1.14  (assume @p40 (= @t55 @t56))
% 0.97/1.14  (assume @p41 (not (= @t55 tptp.sz00)))
% 0.97/1.14  (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t55) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs))))
% 0.97/1.14  (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t56) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt))))
% 0.97/1.14  (assume @p44 (and @t57 (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t55))))
% 0.97/1.14  (assume @p45 (and @t58 (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t56))))
% 0.97/1.14  (assume @p46 (and @t59 (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp))))
% 0.97/1.14  (assume @p47 (and @t60 (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq))))
% 0.97/1.14  (assume @p48 (and @t61 (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq))))
% 0.97/1.14  (assume @p49 (and @t63 (= tptp.xF @t62)))
% 0.97/1.14  (assume @p50 (and @t65 (= tptp.xG @t64)))
% 0.97/1.14  (assume @p51 (and @t67 (= tptp.xH @t66)))
% 0.97/1.14  (assume @p52 (and @t69 (= tptp.xR @t68)))
% 0.97/1.14  (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP @t70)))
% 0.97/1.14  (assume @p54 (and @t72 (= tptp.xS @t71)))
% 0.97/1.14  (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))))
% 0.97/1.14  (assume @p56 (tptp.sdtlseqdt0 @t74 @t73))
% 0.97/1.14  (assume @p57 (tptp.sdtlseqdt0 @t76 @t75))
% 0.97/1.14  (assume @p58 @t81)
% 0.97/1.14  (assume @p59 (= @t79 @t84))
% 0.97/1.14  (assume @p60 (not (tptp.sdtlseqdt0 @t89 @t87)))
% 0.97/1.14  (assume @p61 true)
% 0.97/1.14  (step @p62 :rule evaluate :args ((= true false)))
% 0.97/1.14  (step @p63 :rule false_intro :premises (@p60))
% 0.97/1.14  (step @p64 :rule aci_norm :args ((= (or @t94 @t25) @t93)))
% 0.97/1.14  (step @p65 :rule refl :args (@t25))
% 0.97/1.14  (step @p66 :rule aci_norm :args ((= (or @t92 (or @t91 @t90)) @t94)))
% 0.97/1.14  (step @p67 :rule bool-and-de-morgan :args (@t15 @t26 true))
% 0.97/1.14  (step @p68 :rule refl :args (@t92))
% 0.97/1.14  (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t92 (not (and @t15 @t26)))))
% 0.97/1.14  (step @p70 :rule bool-and-de-morgan :args (@t12 @t15 (and @t26)))
% 0.97/1.14  (step @p71 :rule trans :premises (@p70 @p69))
% 0.97/1.14  (step @p72 :rule trans :premises (@p71 @p66))
% 0.97/1.14  (step @p73 :rule nary_cong :premises (@p72 @p65) :args ((or (not @t27) @t25)))
% 0.97/1.14  (step @p74 :rule trans :premises (@p73 @p64))
% 0.97/1.14  (step @p75 :rule bool-impl-elim :args (@t27 @t25))
% 0.97/1.14  (step @p76 :rule trans :premises (@p75 @p74))
% 0.97/1.14  (step @p77 :rule cong :premises (@p76) :args (@t29))
% 0.97/1.14  (step @p78 :rule eq_resolve :premises (@p14 @p77))
% 0.97/1.14  (step @p79 :rule refl :args (@t96))
% 0.97/1.14  (step @p80 :rule refl :args (@t97))
% 0.97/1.14  (step @p81 :rule refl :args (@t100))
% 0.97/1.14  (step @p82 :rule eq-symm :args (@t101 @t87))
% 0.97/1.14  (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79) :args (@t102))
% 0.97/1.14  (step @p84 :rule refl :args (@t104))
% 0.97/1.14  (step @p85 :rule refl :args (@t106))
% 0.97/1.14  (step @p86 :rule refl :args (@t108))
% 0.97/1.14  (step @p87 :rule nary_cong :premises (@p86 @p85 @p84 @p83) :args (@t109))
% 0.97/1.14  (step @p88 :rule refl :args (@t110))
% 0.97/1.14  (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t110 @t109)))
% 0.97/1.14  (assume-push @p360 @t110)
% 0.97/1.14  (step @p91 :rule instantiate :premises (@p78) :args ((@list @t86 @t71 @t85)))
% 0.97/1.14  (step-pop @p361 :rule scope :premises (@p91))
% 0.97/1.14  (step @p92 :rule process_scope :premises (@p361) :args (@t109))
% 0.97/1.14  (step @p94 :rule eq_resolve :premises (@p92 @p89))
% 0.97/1.14  (step @p95 :rule implies_elim :premises (@p94))
% 0.97/1.14  (step @p96 :rule chain_m_resolution :premises (@p95 @p78) :args (@t113 @t114 @t115))
% 0.97/1.14  (step @p97 :rule aci_norm :args ((= (or @t116 @t14) (or @t92 @t91 @t14))))
% 0.97/1.14  (step @p98 :rule refl :args (@t14))
% 0.97/1.14  (step @p99 :rule bool-and-de-morgan :args (@t12 @t15 true))
% 0.97/1.14  (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t117 @t14)))
% 0.97/1.14  (step @p101 :rule trans :premises (@p100 @p97))
% 0.97/1.14  (step @p102 :rule bool-impl-elim :args (@t16 @t14))
% 0.97/1.14  (step @p103 :rule trans :premises (@p102 @p101))
% 0.97/1.14  (step @p104 :rule cong :premises (@p103) :args (@t17))
% 0.97/1.14  (step @p105 :rule eq_resolve :premises (@p10 @p104))
% 0.97/1.14  (step @p106 :rule instantiate :premises (@p105) :args ((@list @t73 @t68)))
% 0.97/1.14  (step @p107 :rule and_elim :premises (@p52) :args (0))
% 0.97/1.14  (step @p108 :rule true_intro :premises (@p107))
% 0.97/1.14  (step @p109 :rule and_elim :premises (@p52) :args (1))
% 0.97/1.14  (step @p110 :rule symm :premises (@p109))
% 0.97/1.14  (step @p111 :rule cong :premises (@p110) :args (@t118))
% 0.97/1.14  (step @p112 :rule trans :premises (@p111 @p108))
% 0.97/1.14  (step @p113 :rule true_elim :premises (@p112))
% 0.97/1.14  (step @p114 :rule aci_norm :args ((= (or @t116 @t19) (or @t92 @t91 @t19))))
% 0.97/1.14  (step @p115 :rule refl :args (@t19))
% 0.97/1.14  (step @p116 :rule nary_cong :premises (@p99 @p115) :args ((or @t117 @t19)))
% 0.97/1.14  (step @p117 :rule trans :premises (@p116 @p114))
% 0.97/1.14  (step @p118 :rule bool-impl-elim :args (@t16 @t19))
% 0.97/1.14  (step @p119 :rule trans :premises (@p118 @p117))
% 0.97/1.14  (step @p120 :rule cong :premises (@p119) :args (@t20))
% 0.97/1.14  (step @p121 :rule eq_resolve :premises (@p11 @p120))
% 0.97/1.14  (step @p122 :rule instantiate :premises (@p121) :args ((@list tptp.xC tptp.xD)))
% 0.97/1.14  (step @p123 :rule and_elim :premises (@p47) :args (0))
% 0.97/1.14  (step @p124 :rule and_elim :premises (@p46) :args (0))
% 0.97/1.14  (step @p125 :rule cnf_or_pos :args (@t122))
% 0.97/1.14  (step @p126 :rule reordering :premises (@p125) :args ((or @t121 @t120 @t119 (not @t122))))
% 0.97/1.14  (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p123 @p122) :args (@t119 @t123 (@list @t59 @t60 @t122)))
% 0.97/1.14  (step @p128 :rule cnf_or_pos :args (@t126))
% 0.97/1.14  (step @p129 :rule reordering :premises (@p128) :args ((or @t125 @t124 @t107 (not @t126))))
% 0.97/1.14  (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p113 @p106) :args (@t107 @t123 (@list @t119 @t118 @t126)))
% 0.97/1.14  (step @p131 :rule instantiate :premises (@p121) :args ((@list tptp.xF tptp.xG)))
% 0.97/1.14  (step @p132 :rule and_elim :premises (@p50) :args (0))
% 0.97/1.14  (step @p133 :rule and_elim :premises (@p49) :args (0))
% 0.97/1.14  (step @p134 :rule cnf_or_pos :args (@t129))
% 0.97/1.14  (step @p135 :rule reordering :premises (@p134) :args ((or @t128 @t127 @t103 (not @t129))))
% 0.97/1.14  (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p132 @p131) :args (@t103 @t123 (@list @t63 @t65 @t129)))
% 0.97/1.14  (step @p137 :rule and_elim :premises (@p54) :args (0))
% 0.97/1.14  (step @p138 :rule true_intro :premises (@p137))
% 0.97/1.14  (step @p139 :rule and_elim :premises (@p54) :args (1))
% 0.97/1.14  (step @p140 :rule symm :premises (@p139))
% 0.97/1.14  (step @p141 :rule cong :premises (@p140) :args (@t105))
% 0.97/1.14  (step @p142 :rule trans :premises (@p141 @p138))
% 0.97/1.14  (step @p143 :rule true_elim :premises (@p142))
% 0.97/1.14  (step @p144 :rule cnf_or_pos :args (@t113))
% 0.97/1.14  (step @p145 :rule reordering :premises (@p144) :args ((or @t106 @t104 @t108 @t112 (not @t113))))
% 0.97/1.14  (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p136 @p130 @p96) :args (@t112 @t130 (@list @t105 @t103 @t107 @t113)))
% 0.97/1.14  (step @p147 :rule cnf_and_pos :args (@t112 0))
% 0.97/1.14  (step @p148 :rule reordering :premises (@p147) :args ((or @t111 @t131)))
% 0.97/1.14  (step @p149 :rule chain_m_resolution :premises (@p148 @p146) :args (@t111 @t114 @t132))
% 0.97/1.14  (step @p150 :rule symm :premises (@p149))
% 0.97/1.14  (step @p151 :rule refl :args (@t85))
% 0.97/1.14  (step @p152 :rule cnf_and_pos :args (@t112 1))
% 0.97/1.14  (step @p153 :rule reordering :premises (@p152) :args ((or @t100 @t131)))
% 0.97/1.14  (step @p154 :rule chain_m_resolution :premises (@p153 @p146) :args (@t100 @t114 @t132))
% 0.97/1.14  (step @p155 :rule symm :premises (@p154))
% 0.97/1.14  (step @p156 :rule cong :premises (@p155 @p151) :args ((tptp.sdtpldt0 @t98 @t85)))
% 0.97/1.14  (step @p157 :rule and_elim :premises (@p50) :args (1))
% 0.97/1.14  (step @p158 :rule symm :premises (@p157))
% 0.97/1.14  (step @p159 :rule refl :args (tptp.xF))
% 0.97/1.14  (step @p160 :rule cong :premises (@p159 @p158) :args (@t133))
% 0.97/1.14  (step @p161 :rule instantiate :premises (@p78) :args ((@list tptp.xF tptp.xB tptp.xB)))
% 0.97/1.14  (step @p162 :rule and_elim :premises (@p45) :args (0))
% 0.97/1.14  (step @p163 :rule cnf_or_pos :args (@t143))
% 0.97/1.14  (step @p164 :rule factoring :premises (@p163))
% 0.97/1.14  (step @p165 :rule reordering :premises (@p164) :args ((or @t142 @t128 @t141 (not @t143))))
% 0.97/1.14  (step @p166 :rule chain_m_resolution :premises (@p165 @p162 @p133 @p161) :args (@t141 @t123 (@list @t58 @t63 @t143)))
% 0.97/1.14  (step @p167 :rule cnf_and_pos :args (@t141 2))
% 0.97/1.14  (step @p168 :rule reordering :premises (@p167) :args ((or @t137 @t144)))
% 0.97/1.14  (step @p169 :rule chain_m_resolution :premises (@p168 @p166) :args (@t137 @t114 @t145))
% 0.97/1.14  (step @p170 :rule refl :args (tptp.xB))
% 0.97/1.14  (step @p171 :rule cnf_and_pos :args (@t141 3))
% 0.97/1.14  (step @p172 :rule reordering :premises (@p171) :args ((or @t136 @t144)))
% 0.97/1.14  (step @p173 :rule chain_m_resolution :premises (@p172 @p166) :args (@t136 @t114 @t145))
% 0.97/1.14  (step @p174 :rule symm :premises (@p173))
% 0.97/1.14  (step @p175 :rule cong :premises (@p174 @p170) :args (@t146))
% 0.97/1.14  (step @p176 :rule eq-symm :args (@t134 @t135))
% 0.97/1.14  (step @p177 :rule refl :args (@t147))
% 0.97/1.14  (step @p178 :rule eq-symm :args (@t138 @t139))
% 0.97/1.14  (step @p179 :rule refl :args (@t148))
% 0.97/1.14  (step @p180 :rule nary_cong :premises (@p179 @p178 @p177 @p176) :args (@t149))
% 0.97/1.14  (step @p181 :rule refl :args (@t142))
% 0.97/1.14  (step @p182 :rule refl :args (@t128))
% 0.97/1.14  (step @p183 :rule nary_cong :premises (@p181 @p182 @p181 @p180) :args (@t150))
% 0.97/1.14  (step @p184 :rule cong :premises (@p88 @p183) :args ((=> @t110 @t150)))
% 0.97/1.14  (assume-push @p362 @t110)
% 0.97/1.14  (step @p186 :rule instantiate :premises (@p78) :args ((@list tptp.xB tptp.xF tptp.xB)))
% 0.97/1.14  (step-pop @p363 :rule scope :premises (@p186))
% 0.97/1.14  (step @p187 :rule process_scope :premises (@p363) :args (@t150))
% 0.97/1.14  (step @p189 :rule eq_resolve :premises (@p187 @p184))
% 0.97/1.14  (step @p190 :rule implies_elim :premises (@p189))
% 0.97/1.14  (step @p191 :rule chain_m_resolution :premises (@p190 @p78) :args (@t152 @t114 @t115))
% 0.97/1.14  (step @p192 :rule cnf_or_pos :args (@t152))
% 0.97/1.14  (step @p193 :rule factoring :premises (@p192))
% 0.97/1.14  (step @p194 :rule reordering :premises (@p193) :args ((or @t142 @t128 @t151 (not @t152))))
% 0.97/1.14  (step @p195 :rule chain_m_resolution :premises (@p194 @p162 @p133 @p191) :args (@t151 @t123 (@list @t58 @t63 @t152)))
% 0.97/1.14  (step @p196 :rule cnf_and_pos :args (@t151 2))
% 0.97/1.14  (step @p197 :rule reordering :premises (@p196) :args ((or @t147 (not @t151))))
% 0.97/1.14  (step @p198 :rule chain_m_resolution :premises (@p197 @p195) :args (@t147 @t114 (@list @t151)))
% 0.97/1.14  (step @p199 :rule symm :premises (@p198))
% 0.97/1.14  (step @p200 :rule and_elim :premises (@p49) :args (1))
% 0.97/1.14  (step @p201 :rule symm :premises (@p200))
% 0.97/1.14  (step @p202 :rule cong :premises (@p170 @p201) :args (@t153))
% 0.97/1.14  (step @p203 :rule eq-symm :args (@t154 @t66))
% 0.97/1.14  (step @p204 :rule refl :args (@t155))
% 0.97/1.14  (step @p205 :rule eq-symm :args (@t156 @t157))
% 0.97/1.14  (step @p206 :rule refl :args (@t158))
% 0.97/1.14  (step @p207 :rule nary_cong :premises (@p206 @p205 @p204 @p203) :args (@t161))
% 0.97/1.14  (step @p208 :rule refl :args (@t162))
% 0.97/1.14  (step @p209 :rule nary_cong :premises (@p181 @p208 @p208 @p207) :args (@t163))
% 0.97/1.14  (step @p210 :rule cong :premises (@p88 @p209) :args ((=> @t110 @t163)))
% 0.97/1.14  (assume-push @p364 @t110)
% 0.97/1.14  (step @p212 :rule instantiate :premises (@p78) :args ((@list tptp.xB tptp.xA tptp.xA)))
% 0.97/1.14  (step-pop @p365 :rule scope :premises (@p212))
% 0.97/1.14  (step @p213 :rule process_scope :premises (@p365) :args (@t163))
% 0.97/1.14  (step @p215 :rule eq_resolve :premises (@p213 @p210))
% 0.97/1.14  (step @p216 :rule implies_elim :premises (@p215))
% 0.97/1.14  (step @p217 :rule chain_m_resolution :premises (@p216 @p78) :args (@t167 @t114 @t115))
% 0.97/1.14  (step @p218 :rule and_elim :premises (@p44) :args (0))
% 0.97/1.14  (step @p219 :rule cnf_or_pos :args (@t167))
% 0.97/1.14  (step @p220 :rule factoring :premises (@p219))
% 0.97/1.14  (step @p221 :rule reordering :premises (@p220) :args ((or @t162 @t142 @t166 (not @t167))))
% 0.97/1.14  (step @p222 :rule chain_m_resolution :premises (@p221 @p218 @p162 @p217) :args (@t166 @t123 (@list @t57 @t58 @t167)))
% 0.97/1.14  (step @p223 :rule cnf_and_pos :args (@t166 2))
% 0.97/1.14  (step @p224 :rule reordering :premises (@p223) :args ((or @t155 (not @t166))))
% 0.97/1.14  (step @p225 :rule chain_m_resolution :premises (@p224 @p222) :args (@t155 @t114 (@list @t166)))
% 0.97/1.14  (step @p226 :rule refl :args (tptp.xA))
% 0.97/1.14  (step @p227 :rule instantiate :premises (@p78) :args ((@list tptp.xA tptp.xB tptp.xH)))
% 0.97/1.14  (step @p228 :rule and_elim :premises (@p51) :args (0))
% 0.97/1.14  (step @p229 :rule cnf_or_pos :args (@t170))
% 0.97/1.14  (step @p230 :rule reordering :premises (@p229) :args ((or @t162 @t142 @t169 @t168 (not @t170))))
% 0.97/1.14  (step @p231 :rule chain_m_resolution :premises (@p230 @p218 @p162 @p228 @p227) :args (@t168 @t130 (@list @t57 @t58 @t67 @t170)))
% 0.97/1.14  (step @p232 :rule cnf_and_pos :args (@t168 3))
% 0.97/1.14  (step @p233 :rule reordering :premises (@p232) :args ((or @t164 (not @t168))))
% 0.97/1.14  (step @p234 :rule chain_m_resolution :premises (@p233 @p231) :args (@t164 @t114 (@list @t168)))
% 0.97/1.14  (step @p235 :rule and_elim :premises (@p51) :args (1))
% 0.97/1.14  (step @p236 :rule trans :premises (@p235 @p234))
% 0.97/1.14  (step @p237 :rule cong :premises (@p236 @p226) :args (@t171))
% 0.97/1.14  (step @p238 :rule instantiate :premises (@p78) :args ((@list tptp.xH tptp.xA tptp.xB)))
% 0.97/1.14  (step @p239 :rule cnf_or_pos :args (@t177))
% 0.97/1.14  (step @p240 :rule reordering :premises (@p239) :args ((or @t162 @t142 @t169 @t176 (not @t177))))
% 0.97/1.14  (step @p241 :rule chain_m_resolution :premises (@p240 @p218 @p162 @p228 @p238) :args (@t176 @t130 (@list @t57 @t58 @t67 @t177)))
% 0.97/1.14  (step @p242 :rule cnf_and_pos :args (@t176 3))
% 0.97/1.14  (step @p243 :rule reordering :premises (@p242) :args ((or @t173 (not @t176))))
% 0.97/1.14  (step @p244 :rule chain_m_resolution :premises (@p243 @p241) :args (@t173 @t114 (@list @t176)))
% 0.97/1.14  (step @p245 :rule symm :premises (@p244))
% 0.97/1.14  (step @p246 :rule trans :premises (@p245 @p237 @p225 @p202 @p174))
% 0.97/1.14  (step @p247 :rule cong :premises (@p170 @p246) :args (@t178))
% 0.97/1.14  (step @p248 :rule refl :args (@t179))
% 0.97/1.14  (step @p249 :rule refl :args (@t180))
% 0.97/1.14  (step @p250 :rule nary_cong :premises (@p249 @p205 @p248 @p203) :args (@t181))
% 0.97/1.14  (step @p251 :rule refl :args (@t169))
% 0.97/1.14  (step @p252 :rule nary_cong :premises (@p181 @p208 @p251 @p250) :args (@t182))
% 0.97/1.14  (step @p253 :rule cong :premises (@p88 @p252) :args ((=> @t110 @t182)))
% 0.97/1.14  (assume-push @p366 @t110)
% 0.97/1.14  (step @p255 :rule instantiate :premises (@p78) :args ((@list tptp.xB tptp.xA tptp.xH)))
% 0.97/1.14  (step-pop @p367 :rule scope :premises (@p255))
% 0.97/1.14  (step @p256 :rule process_scope :premises (@p367) :args (@t182))
% 0.97/1.14  (step @p258 :rule eq_resolve :premises (@p256 @p253))
% 0.97/1.14  (step @p259 :rule implies_elim :premises (@p258))
% 0.97/1.14  (step @p260 :rule chain_m_resolution :premises (@p259 @p78) :args (@t184 @t114 @t115))
% 0.97/1.14  (step @p261 :rule cnf_or_pos :args (@t184))
% 0.97/1.14  (step @p262 :rule reordering :premises (@p261) :args ((or @t162 @t142 @t169 @t183 (not @t184))))
% 0.97/1.14  (step @p263 :rule chain_m_resolution :premises (@p262 @p218 @p162 @p228 @p260) :args (@t183 @t130 (@list @t57 @t58 @t67 @t184)))
% 0.97/1.14  (step @p264 :rule cnf_and_pos :args (@t183 2))
% 0.97/1.14  (step @p265 :rule reordering :premises (@p264) :args ((or @t179 (not @t183))))
% 0.97/1.14  (step @p266 :rule chain_m_resolution :premises (@p265 @p263) :args (@t179 @t114 (@list @t183)))
% 0.97/1.14  (step @p267 :rule refl :args (tptp.xH))
% 0.97/1.14  (step @p268 :rule cong :premises (@p236 @p267) :args (@t77))
% 0.97/1.14  (step @p269 :rule trans :premises (@p268 @p266 @p247 @p199 @p175 @p169 @p160))
% 0.97/1.14  (step @p270 :rule instantiate :premises (@p78) :args ((@list @t73 @t68 @t71)))
% 0.97/1.14  (step @p271 :rule cnf_or_pos :args (@t188))
% 0.97/1.14  (step @p272 :rule reordering :premises (@p271) :args ((or @t106 @t125 @t124 @t187 (not @t188))))
% 0.97/1.14  (step @p273 :rule chain_m_resolution :premises (@p272 @p143 @p127 @p113 @p270) :args (@t187 @t130 (@list @t105 @t119 @t118 @t188)))
% 0.97/1.14  (step @p274 :rule cnf_and_pos :args (@t187 0))
% 0.97/1.14  (step @p275 :rule reordering :premises (@p274) :args ((or @t186 (not @t187))))
% 0.97/1.14  (step @p276 :rule chain_m_resolution :premises (@p275 @p273) :args (@t186 @t114 (@list @t187)))
% 0.97/1.14  (step @p277 :rule symm :premises (@p276))
% 0.97/1.14  (step @p278 :rule cong :premises (@p109 @p139) :args (@t75))
% 0.97/1.14  (step @p279 :rule refl :args (@t73))
% 0.97/1.14  (step @p280 :rule cong :premises (@p279 @p278) :args (@t189))
% 0.97/1.14  (step @p281 :rule trans :premises (@p280 @p277))
% 0.97/1.14  (step @p282 :rule refl :args (@t191))
% 0.97/1.14  (step @p283 :rule refl :args (@t192))
% 0.97/1.14  (step @p284 :rule refl :args (@t194))
% 0.97/1.14  (step @p285 :rule eq-symm :args (@t195 @t78))
% 0.97/1.14  (step @p286 :rule nary_cong :premises (@p285 @p284 @p283 @p282) :args (@t196))
% 0.97/1.14  (step @p287 :rule refl :args (@t198))
% 0.97/1.14  (step @p288 :rule refl :args (@t200))
% 0.97/1.14  (step @p289 :rule refl :args (@t125))
% 0.97/1.14  (step @p290 :rule nary_cong :premises (@p289 @p288 @p287 @p286) :args (@t201))
% 0.97/1.14  (step @p291 :rule cong :premises (@p88 @p290) :args ((=> @t110 @t201)))
% 0.97/1.14  (assume-push @p368 @t110)
% 0.97/1.14  (step @p293 :rule instantiate :premises (@p78) :args ((@list @t73 @t75 @t77)))
% 0.97/1.14  (step-pop @p369 :rule scope :premises (@p293))
% 0.97/1.14  (step @p294 :rule process_scope :premises (@p369) :args (@t201))
% 0.97/1.14  (step @p296 :rule eq_resolve :premises (@p294 @p291))
% 0.97/1.14  (step @p297 :rule implies_elim :premises (@p296))
% 0.97/1.14  (step @p298 :rule chain_m_resolution :premises (@p297 @p78) :args (@t204 @t114 @t115))
% 0.97/1.14  (step @p299 :rule instantiate :premises (@p105) :args ((@list tptp.xR tptp.xS)))
% 0.97/1.14  (step @p300 :rule cnf_or_pos :args (@t207))
% 0.97/1.14  (step @p301 :rule reordering :premises (@p300) :args ((or @t206 @t205 @t199 (not @t207))))
% 0.97/1.14  (step @p302 :rule chain_m_resolution :premises (@p301 @p107 @p137 @p299) :args (@t199 @t123 (@list @t69 @t72 @t207)))
% 0.97/1.14  (step @p303 :rule instantiate :premises (@p121) :args ((@list tptp.xH tptp.xH)))
% 0.97/1.14  (step @p304 :rule cnf_or_pos :args (@t208))
% 0.97/1.14  (step @p305 :rule factoring :premises (@p304))
% 0.97/1.14  (step @p306 :rule reordering :premises (@p305) :args ((or @t169 @t197 (not @t208))))
% 0.97/1.14  (step @p307 :rule chain_m_resolution :premises (@p306 @p228 @p303) :args (@t197 @t209 (@list @t67 @t208)))
% 0.97/1.14  (step @p308 :rule cnf_or_pos :args (@t204))
% 0.97/1.14  (step @p309 :rule reordering :premises (@p308) :args ((or @t125 @t198 @t200 @t203 (not @t204))))
% 0.97/1.14  (step @p310 :rule chain_m_resolution :premises (@p309 @p127 @p307 @p302 @p298) :args (@t203 @t130 (@list @t119 @t197 @t199 @t204)))
% 0.97/1.15  (step @p311 :rule cnf_and_pos :args (@t203 1))
% 0.97/1.15  (step @p312 :rule reordering :premises (@p311) :args ((or @t194 @t210)))
% 0.97/1.15  (step @p313 :rule chain_m_resolution :premises (@p312 @p310) :args (@t194 @t114 @t211))
% 0.97/1.15  (step @p314 :rule symm :premises (@p313))
% 0.97/1.15  (step @p315 :rule trans :premises (@p314 @p281 @p154))
% 0.97/1.15  (step @p316 :rule cong :premises (@p315 @p269) :args ((tptp.sdtpldt0 @t193 @t77)))
% 0.97/1.15  (step @p317 :rule refl :args (@t77))
% 0.97/1.15  (step @p318 :rule cong :premises (@p313 @p317) :args (@t195))
% 0.97/1.15  (step @p319 :rule cnf_and_pos :args (@t203 0))
% 0.97/1.15  (step @p320 :rule reordering :premises (@p319) :args ((or @t202 @t210)))
% 0.97/1.15  (step @p321 :rule chain_m_resolution :premises (@p320 @p310) :args (@t202 @t114 @t211))
% 0.97/1.15  (step @p322 :rule trans :premises (@p321 @p318 @p316 @p156 @p150))
% 0.97/1.15  (step @p323 :rule instantiate :premises (@p78) :args ((@list @t74 @t70 @t83)))
% 0.97/1.15  (step @p324 :rule instantiate :premises (@p121) :args ((@list tptp.xE tptp.xE)))
% 0.97/1.15  (step @p325 :rule and_elim :premises (@p48) :args (0))
% 0.97/1.15  (step @p326 :rule cnf_or_pos :args (@t214))
% 0.97/1.15  (step @p327 :rule factoring :premises (@p326))
% 0.97/1.15  (step @p328 :rule reordering :premises (@p327) :args ((or @t213 @t212 (not @t214))))
% 0.97/1.15  (step @p329 :rule chain_m_resolution :premises (@p328 @p325 @p324) :args (@t212 @t209 (@list @t61 @t214)))
% 0.97/1.15  (step @p330 :rule instantiate :premises (@p105) :args ((@list @t82 @t77)))
% 0.97/1.15  (step @p331 :rule instantiate :premises (@p121) :args ((@list tptp.xH tptp.xE)))
% 0.97/1.15  (step @p332 :rule cnf_or_pos :args (@t216))
% 0.97/1.15  (step @p333 :rule reordering :premises (@p332) :args ((or @t213 @t169 @t215 (not @t216))))
% 0.97/1.15  (step @p334 :rule chain_m_resolution :premises (@p333 @p325 @p228 @p331) :args (@t215 @t123 (@list @t61 @t67 @t216)))
% 0.97/1.15  (step @p335 :rule cnf_or_pos :args (@t219))
% 0.97/1.15  (step @p336 :rule reordering :premises (@p335) :args ((or @t217 @t198 @t218 (not @t219))))
% 0.97/1.15  (step @p337 :rule chain_m_resolution :premises (@p336 @p307 @p334 @p330) :args (@t217 @t123 (@list @t197 @t215 @t219)))
% 0.97/1.15  (step @p338 :rule and_elim :premises (@p53) :args (0))
% 0.97/1.15  (step @p339 :rule true_intro :premises (@p338))
% 0.97/1.15  (step @p340 :rule and_elim :premises (@p53) :args (1))
% 0.97/1.15  (step @p341 :rule symm :premises (@p340))
% 0.97/1.15  (step @p342 :rule cong :premises (@p341) :args (@t220))
% 0.97/1.15  (step @p343 :rule trans :premises (@p342 @p339))
% 0.97/1.15  (step @p344 :rule true_elim :premises (@p343))
% 0.97/1.15  (step @p345 :rule cnf_or_pos :args (@t227))
% 0.97/1.15  (step @p346 :rule reordering :premises (@p345) :args ((or @t225 @t224 @t226 @t223 (not @t227))))
% 0.97/1.15  (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p337 @p329 @p323) :args (@t223 @t130 (@list @t220 @t217 @t212 @t227)))
% 0.97/1.15  (step @p348 :rule cnf_and_pos :args (@t223 0))
% 0.97/1.15  (step @p349 :rule reordering :premises (@p348) :args ((or @t222 (not @t223))))
% 0.97/1.15  (step @p350 :rule chain_m_resolution :premises (@p349 @p347) :args (@t222 @t114 (@list @t223)))
% 0.97/1.15  (step @p351 :rule symm :premises (@p350))
% 0.97/1.15  (step @p352 :rule refl :args (@t74))
% 0.97/1.15  (step @p353 :rule cong :premises (@p352 @p59) :args (@t80))
% 0.97/1.15  (step @p354 :rule trans :premises (@p353 @p351))
% 0.97/1.15  (step @p355 :rule cong :premises (@p354 @p322) :args (@t81))
% 0.97/1.15  (step @p356 :rule true_intro :premises (@p58))
% 0.97/1.15  (step @p357 :rule symm :premises (@p356))
% 0.97/1.15  (step @p358 :rule trans :premises (@p357 @p355 @p63))
% 0.97/1.15  (step @p359 false :rule eq_resolve :premises (@p358 @p62))
% 0.97/1.15  )
% 0.97/1.15  % SZS output end Proof
% 0.97/1.15  % cvc5 exiting
%------------------------------------------------------------------------------