cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM483+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:39:34 AM UTC 2026

% Result   : Theorem 1.52s 1.77s
% Output   : Proof 1.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM483+3 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n009.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 11:22:59 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.26/0.51  %----Proving TF0_NAR, FOF, or CNF
% 1.52/1.77  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 1.52/1.77  % SZS status Theorem
% 1.52/1.77  % SZS output start Proof
% 1.52/1.77  (
% 1.52/1.77  (declare-sort $$unsorted 0)
% 1.52/1.77  (declare-const tptp.isPrime0 (-> $$unsorted Bool))
% 1.52/1.77  (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool))
% 1.52/1.77  (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted))
% 1.52/1.77  (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted))
% 1.52/1.77  (declare-const tptp.xk $$unsorted)
% 1.52/1.77  (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted))
% 1.52/1.77  (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool))
% 1.52/1.77  (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted))
% 1.52/1.77  (declare-const tptp.sz10 $$unsorted)
% 1.52/1.77  (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool))
% 1.52/1.77  (declare-const tptp.sz00 $$unsorted)
% 1.52/1.77  (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool))
% 1.52/1.77  (define @t1 () (@var "W0" $$unsorted))
% 1.52/1.77  (define @t2 () (tptp.aNaturalNumber0 @t1))
% 1.52/1.77  (define @t3 () (@list @t1))
% 1.52/1.77  (define @t4 () (tptp.aNaturalNumber0 tptp.sz00))
% 1.52/1.77  (define @t5 () (@var "W1" $$unsorted))
% 1.52/1.77  (define @t6 () (tptp.sdtpldt0 @t1 @t5))
% 1.52/1.77  (define @t7 () (tptp.aNaturalNumber0 @t5))
% 1.52/1.77  (define @t8 () (and @t2 @t7))
% 1.52/1.77  (define @t9 () (@list @t1 @t5))
% 1.52/1.77  (define @t10 () (tptp.sdtasdt0 @t1 @t5))
% 1.52/1.77  (define @t11 () (tptp.aNaturalNumber0 @t10))
% 1.52/1.77  (define @t12 () (forall @t9 (=> @t8 @t11)))
% 1.52/1.77  (define @t13 () (tptp.sdtpldt0 @t5 @t1))
% 1.52/1.77  (define @t14 () (= @t6 @t13))
% 1.52/1.77  (define @t15 () (forall @t9 (=> @t8 @t14)))
% 1.52/1.77  (define @t16 () (@var "W2" $$unsorted))
% 1.52/1.77  (define @t17 () (tptp.sdtpldt0 @t5 @t16))
% 1.52/1.77  (define @t18 () (tptp.aNaturalNumber0 @t16))
% 1.52/1.77  (define @t19 () (and @t2 @t7 @t18))
% 1.52/1.77  (define @t20 () (@list @t1 @t5 @t16))
% 1.52/1.77  (define @t21 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))
% 1.52/1.77  (define @t22 () (tptp.sdtpldt0 @t1 tptp.sz00))
% 1.52/1.77  (define @t23 () (and (= @t22 @t1) @t21))
% 1.52/1.77  (define @t24 () (=> @t2 @t23))
% 1.52/1.77  (define @t25 () (forall @t3 @t24))
% 1.52/1.77  (define @t26 () (tptp.sdtasdt0 @t5 @t1))
% 1.52/1.77  (define @t27 () (= @t10 @t26))
% 1.52/1.77  (define @t28 () (forall @t9 (=> @t8 @t27)))
% 1.52/1.77  (define @t29 () (tptp.sdtasdt0 @t5 @t16))
% 1.52/1.77  (define @t30 () (= (tptp.sdtasdt0 @t10 @t16) (tptp.sdtasdt0 @t1 @t29)))
% 1.52/1.77  (define @t31 () (forall @t20 (=> @t19 @t30)))
% 1.52/1.77  (define @t32 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))
% 1.52/1.77  (define @t33 () (tptp.sdtasdt0 @t1 tptp.sz00))
% 1.52/1.77  (define @t34 () (and (= @t33 tptp.sz00) @t32))
% 1.52/1.77  (define @t35 () (=> @t2 @t34))
% 1.52/1.77  (define @t36 () (forall @t3 @t35))
% 1.52/1.77  (define @t37 () (tptp.sdtasdt0 @t16 @t1))
% 1.52/1.77  (define @t38 () (tptp.sdtasdt0 @t1 @t16))
% 1.52/1.77  (define @t39 () (= @t5 @t16))
% 1.52/1.77  (define @t40 () (tptp.sdtpldt0 @t16 @t1))
% 1.52/1.77  (define @t41 () (tptp.sdtpldt0 @t1 @t16))
% 1.52/1.77  (define @t42 () (= @t26 @t37))
% 1.52/1.77  (define @t43 () (= @t10 @t38))
% 1.52/1.77  (define @t44 () (and @t7 @t18))
% 1.52/1.77  (define @t45 () (= @t1 tptp.sz00))
% 1.52/1.77  (define @t46 () (not @t45))
% 1.52/1.77  (define @t47 () (= @t5 tptp.sz00))
% 1.52/1.77  (define @t48 () (and @t18 (= @t41 @t5)))
% 1.52/1.77  (define @t49 () (@list @t16))
% 1.52/1.77  (define @t50 () (exists @t49 @t48))
% 1.52/1.77  (define @t51 () (tptp.sdtlseqdt0 @t1 @t5))
% 1.52/1.77  (define @t52 () (= @t51 @t50))
% 1.52/1.77  (define @t53 () (=> @t8 @t52))
% 1.52/1.77  (define @t54 () (forall @t9 @t53))
% 1.52/1.77  (define @t55 () (tptp.sdtlseqdt0 @t1 @t1))
% 1.52/1.77  (define @t56 () (forall @t3 (=> @t2 @t55)))
% 1.52/1.77  (define @t57 () (= @t1 @t5))
% 1.52/1.77  (define @t58 () (tptp.sdtlseqdt0 @t5 @t1))
% 1.52/1.77  (define @t59 () (tptp.sdtlseqdt0 @t5 @t16))
% 1.52/1.77  (define @t60 () (= @t5 @t1))
% 1.52/1.77  (define @t61 () (tptp.sdtpldt0 @t16 @t5))
% 1.52/1.77  (define @t62 () (not @t57))
% 1.52/1.77  (define @t63 () (and @t62 @t51))
% 1.52/1.77  (define @t64 () (= @t1 tptp.sz10))
% 1.52/1.77  (define @t65 () (tptp.iLess0 @t1 @t5))
% 1.52/1.77  (define @t66 () (=> @t63 @t65))
% 1.52/1.77  (define @t67 () (forall @t9 (=> @t8 @t66)))
% 1.52/1.77  (define @t68 () (= @t5 @t38))
% 1.52/1.77  (define @t69 () (and @t18 @t68))
% 1.52/1.77  (define @t70 () (exists @t49 @t69))
% 1.52/1.77  (define @t71 () (tptp.doDivides0 @t1 @t5))
% 1.52/1.77  (define @t72 () (= @t71 @t70))
% 1.52/1.77  (define @t73 () (=> @t8 @t72))
% 1.52/1.77  (define @t74 () (forall @t9 @t73))
% 1.52/1.77  (define @t75 () (tptp.sdtsldt0 @t5 @t1))
% 1.52/1.77  (define @t76 () (and @t46 @t71))
% 1.52/1.77  (define @t77 () (tptp.doDivides0 @t1 @t16))
% 1.52/1.77  (define @t78 () (tptp.doDivides0 @t1 @t17))
% 1.52/1.77  (define @t79 () (not @t47))
% 1.52/1.77  (define @t80 () (and @t71 @t79))
% 1.52/1.77  (define @t81 () (=> @t80 @t51))
% 1.52/1.77  (define @t82 () (=> @t8 @t81))
% 1.52/1.77  (define @t83 () (forall @t9 @t82))
% 1.52/1.77  (define @t84 () (= @t5 tptp.sz10))
% 1.52/1.77  (define @t85 () (or @t84 @t60))
% 1.52/1.77  (define @t86 () (tptp.doDivides0 @t5 @t1))
% 1.52/1.77  (define @t87 () (@list @t5))
% 1.52/1.77  (define @t88 () (not @t64))
% 1.52/1.77  (define @t89 () (tptp.isPrime0 @t1))
% 1.52/1.77  (define @t90 () (tptp.aNaturalNumber0 tptp.xk))
% 1.52/1.77  (define @t91 () (tptp.isPrime0 @t5))
% 1.52/1.77  (define @t92 () (or (= @t16 tptp.sz10) (= @t16 @t5)))
% 1.52/1.77  (define @t93 () (tptp.doDivides0 @t16 @t5))
% 1.52/1.77  (define @t94 () (@var "W3" $$unsorted))
% 1.52/1.77  (define @t95 () (= @t5 (tptp.sdtasdt0 @t16 @t94)))
% 1.52/1.77  (define @t96 () (tptp.aNaturalNumber0 @t94))
% 1.52/1.77  (define @t97 () (and @t96 @t95))
% 1.52/1.77  (define @t98 () (@list @t94))
% 1.52/1.77  (define @t99 () (exists @t98 @t97))
% 1.52/1.77  (define @t100 () (or @t99 @t93))
% 1.52/1.77  (define @t101 () (and @t18 @t100))
% 1.52/1.77  (define @t102 () (=> @t101 @t92))
% 1.52/1.77  (define @t103 () (forall @t49 @t102))
% 1.52/1.77  (define @t104 () (not @t84))
% 1.52/1.77  (define @t105 () (= @t1 @t29))
% 1.52/1.77  (define @t106 () (and @t18 @t105))
% 1.52/1.77  (define @t107 () (exists @t49 @t106))
% 1.52/1.77  (define @t108 () (and @t7 @t107 @t86 @t79 @t104 @t103 @t91))
% 1.52/1.77  (define @t109 () (exists @t87 @t108))
% 1.52/1.77  (define @t110 () (tptp.iLess0 @t1 tptp.xk))
% 1.52/1.77  (define @t111 () (=> @t110 @t109))
% 1.52/1.77  (define @t112 () (and @t2 @t46 @t88))
% 1.52/1.77  (define @t113 () (=> @t112 @t111))
% 1.52/1.77  (define @t114 () (forall @t3 @t113))
% 1.52/1.77  (define @t115 () (tptp.isPrime0 tptp.xk))
% 1.52/1.77  (define @t116 () (= @t1 tptp.xk))
% 1.52/1.77  (define @t117 () (or @t64 @t116))
% 1.52/1.77  (define @t118 () (tptp.doDivides0 @t1 tptp.xk))
% 1.52/1.77  (define @t119 () (and @t7 (= tptp.xk @t10)))
% 1.52/1.77  (define @t120 () (exists @t87 @t119))
% 1.52/1.77  (define @t121 () (and @t2 @t120 @t118))
% 1.52/1.77  (define @t122 () (=> @t121 @t117))
% 1.52/1.77  (define @t123 () (forall @t3 @t122))
% 1.52/1.77  (define @t124 () (or @t123 @t115))
% 1.52/1.77  (define @t125 () (not @t124))
% 1.52/1.77  (define @t126 () (and @t7 @t107 @t86))
% 1.52/1.77  (define @t127 () (=> @t126 @t85))
% 1.52/1.77  (define @t128 () (forall @t87 @t127))
% 1.52/1.77  (define @t129 () (and @t46 @t88 @t128))
% 1.52/1.77  (define @t130 () (or @t129 @t89))
% 1.52/1.77  (define @t131 () (or @t120 @t118))
% 1.52/1.77  (define @t132 () (and @t2 @t131 @t130))
% 1.52/1.77  (define @t133 () (exists @t3 @t132))
% 1.52/1.77  (define @t134 () (not @t133))
% 1.52/1.77  (define @t135 () (@var "BOUND_VARIABLE_8183" $$unsorted))
% 1.52/1.77  (define @t136 () (tptp.sdtasdt0 @t1 @t135))
% 1.52/1.77  (define @t137 () (not (= @t136 tptp.xk)))
% 1.52/1.77  (define @t138 () (not (tptp.aNaturalNumber0 @t135)))
% 1.52/1.77  (define @t139 () (not @t118))
% 1.52/1.77  (define @t140 () (not @t2))
% 1.52/1.77  (define @t141 () (or @t140 @t139 @t64 @t116 @t138 @t137))
% 1.52/1.77  (define @t142 () (or @t138 @t137))
% 1.52/1.77  (define @t143 () (or @t140 @t142 @t139 @t64 @t116))
% 1.52/1.77  (define @t144 () (@list @t1 @t135))
% 1.52/1.77  (define @t145 () (forall @t144 @t143))
% 1.52/1.77  (define @t146 () (@list @t135))
% 1.52/1.77  (define @t147 () (forall @t146 @t143))
% 1.52/1.77  (define @t148 () (forall @t146 @t142))
% 1.52/1.77  (define @t149 () (@list @t5))
% 1.52/1.77  (define @t150 () (or @t140 @t148 @t139 @t64 @t116))
% 1.52/1.77  (define @t151 () (= @t10 tptp.xk))
% 1.52/1.77  (define @t152 () (not @t7))
% 1.52/1.77  (define @t153 () (forall @t87 (or @t152 (not @t151))))
% 1.52/1.77  (define @t154 () (or @t140 @t153 @t139 @t64 @t116))
% 1.52/1.77  (define @t155 () (not @t153))
% 1.52/1.77  (define @t156 () (not @t155))
% 1.52/1.77  (define @t157 () (or @t140 @t156 @t139))
% 1.52/1.77  (define @t158 () (and @t2 @t155 @t118))
% 1.52/1.77  (define @t159 () (and @t7 @t151))
% 1.52/1.77  (define @t160 () (forall @t87 (not @t159)))
% 1.52/1.77  (define @t161 () (not @t160))
% 1.52/1.77  (define @t162 () (forall @t144 (or @t140 @t139 @t64 @t116 @t138 (not (= tptp.xk @t136)))))
% 1.52/1.77  (define @t163 () (@quantifiers_skolemize @t162 1))
% 1.52/1.77  (define @t164 () (@quantifiers_skolemize @t162 0))
% 1.52/1.77  (define @t165 () (tptp.sdtasdt0 @t164 @t163))
% 1.52/1.77  (define @t166 () (= tptp.xk @t165))
% 1.52/1.77  (define @t167 () (not @t166))
% 1.52/1.77  (define @t168 () (not (tptp.aNaturalNumber0 @t163)))
% 1.52/1.77  (define @t169 () (= tptp.xk @t164))
% 1.52/1.77  (define @t170 () (= tptp.sz10 @t164))
% 1.52/1.77  (define @t171 () (tptp.doDivides0 @t164 tptp.xk))
% 1.52/1.77  (define @t172 () (not @t171))
% 1.52/1.77  (define @t173 () (tptp.aNaturalNumber0 @t164))
% 1.52/1.77  (define @t174 () (not @t173))
% 1.52/1.77  (define @t175 () (or @t174 @t172 @t170 @t169 @t168 @t167))
% 1.52/1.77  (define @t176 () (not @t175))
% 1.52/1.77  (define @t177 () (not @t162))
% 1.52/1.77  (define @t178 () (= @t164 tptp.xk))
% 1.52/1.77  (define @t179 () (= @t164 tptp.sz10))
% 1.52/1.77  (define @t180 () (or @t174 @t172 @t179 @t178 @t168 @t167))
% 1.52/1.77  (define @t181 () (not @t180))
% 1.52/1.77  (define @t182 () (@list true))
% 1.52/1.77  (define @t183 () (not @t169))
% 1.52/1.77  (define @t184 () (@list @t175))
% 1.52/1.77  (define @t185 () (and (= @t1 @t22) @t21))
% 1.52/1.77  (define @t186 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00)))
% 1.52/1.77  (define @t187 () (and @t186 @t186))
% 1.52/1.77  (define @t188 () (not @t4))
% 1.52/1.77  (define @t189 () (or @t188 @t187))
% 1.52/1.77  (define @t190 () (forall @t3 (or @t140 @t185)))
% 1.52/1.77  (define @t191 () (or @t188 @t186))
% 1.52/1.77  (define @t192 () (@list false))
% 1.52/1.77  (define @t193 () (@list false false))
% 1.52/1.77  (define @t194 () (and (= tptp.sz00 @t33) @t32))
% 1.52/1.77  (define @t195 () (tptp.sdtasdt0 tptp.xk tptp.sz00))
% 1.52/1.77  (define @t196 () (= tptp.sz00 @t195))
% 1.52/1.77  (define @t197 () (and @t196 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xk))))
% 1.52/1.77  (define @t198 () (not @t90))
% 1.52/1.77  (define @t199 () (or @t198 @t197))
% 1.52/1.77  (define @t200 () (@list @t164))
% 1.52/1.77  (define @t201 () (tptp.sdtasdt0 tptp.sz00 @t164))
% 1.52/1.77  (define @t202 () (= tptp.sz00 @t201))
% 1.52/1.77  (define @t203 () (and (= tptp.sz00 (tptp.sdtasdt0 @t164 tptp.sz00)) @t202))
% 1.52/1.77  (define @t204 () (or @t174 @t203))
% 1.52/1.77  (define @t205 () (not @t18))
% 1.52/1.77  (define @t206 () (= @t71 (not (forall @t49 (or @t205 (not @t68))))))
% 1.52/1.77  (define @t207 () (or @t140 @t152))
% 1.52/1.77  (define @t208 () (not @t8))
% 1.52/1.77  (define @t209 () (forall @t49 (not @t69)))
% 1.52/1.77  (define @t210 () (not @t209))
% 1.52/1.77  (define @t211 () (@list @t164 tptp.xk))
% 1.52/1.77  (define @t212 () (forall @t49 (or @t205 (not (= tptp.xk (tptp.sdtasdt0 @t164 @t16))))))
% 1.52/1.77  (define @t213 () (not @t212))
% 1.52/1.77  (define @t214 () (= @t171 @t213))
% 1.52/1.77  (define @t215 () (or @t174 @t198 @t214))
% 1.52/1.77  (define @t216 () (@list false false false))
% 1.52/1.77  (define @t217 () (@quantifiers_skolemize @t212 0))
% 1.52/1.77  (define @t218 () (tptp.sdtasdt0 @t164 @t217))
% 1.52/1.77  (define @t219 () (= tptp.xk @t218))
% 1.52/1.77  (define @t220 () (not @t219))
% 1.52/1.77  (define @t221 () (tptp.aNaturalNumber0 @t217))
% 1.52/1.77  (define @t222 () (not @t221))
% 1.52/1.77  (define @t223 () (or @t222 @t220))
% 1.52/1.77  (define @t224 () (@list @t223))
% 1.52/1.77  (define @t225 () (or @t140 @t152 @t27))
% 1.52/1.77  (define @t226 () (tptp.sdtasdt0 tptp.xk @t164))
% 1.52/1.77  (define @t227 () (tptp.sdtasdt0 @t164 tptp.xk))
% 1.52/1.77  (define @t228 () (or @t198 @t174 (= @t226 @t227)))
% 1.52/1.77  (define @t229 () (forall @t9 @t225))
% 1.52/1.77  (define @t230 () (= @t227 @t226))
% 1.52/1.77  (define @t231 () (or @t198 @t174 @t230))
% 1.52/1.77  (define @t232 () (= @t218 (tptp.sdtasdt0 @t217 @t164)))
% 1.52/1.77  (define @t233 () (or @t174 @t222 @t232))
% 1.52/1.77  (define @t234 () (@list @t217))
% 1.52/1.77  (define @t235 () (tptp.sdtpldt0 @t217 tptp.sz00))
% 1.52/1.77  (define @t236 () (= @t217 @t235))
% 1.52/1.77  (define @t237 () (and @t236 (= @t217 (tptp.sdtpldt0 tptp.sz00 @t217))))
% 1.52/1.77  (define @t238 () (or @t222 @t237))
% 1.52/1.77  (define @t239 () (tptp.sdtasdt0 @t217 tptp.sz00))
% 1.52/1.77  (define @t240 () (= tptp.sz00 @t239))
% 1.52/1.77  (define @t241 () (and @t240 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t217))))
% 1.52/1.77  (define @t242 () (or @t222 @t241))
% 1.52/1.77  (define @t243 () (= @t5 @t41))
% 1.52/1.77  (define @t244 () (= @t51 (not (forall @t49 (or @t205 (not @t243))))))
% 1.52/1.77  (define @t245 () (and @t18 @t243))
% 1.52/1.77  (define @t246 () (forall @t49 (not @t245)))
% 1.52/1.77  (define @t247 () (not @t246))
% 1.52/1.77  (define @t248 () (tptp.sdtpldt0 @t164 @t16))
% 1.52/1.77  (define @t249 () (forall @t49 (or @t205 (not (= @t164 @t248)))))
% 1.52/1.77  (define @t250 () (not @t249))
% 1.52/1.77  (define @t251 () (tptp.sdtlseqdt0 @t164 @t164))
% 1.52/1.77  (define @t252 () (= @t251 @t250))
% 1.52/1.77  (define @t253 () (or @t174 @t174 @t252))
% 1.52/1.77  (define @t254 () (or @t174 @t251))
% 1.52/1.77  (define @t255 () (@quantifiers_skolemize @t249 0))
% 1.52/1.77  (define @t256 () (tptp.sdtpldt0 @t164 @t255))
% 1.52/1.77  (define @t257 () (= @t164 @t256))
% 1.52/1.77  (define @t258 () (not @t257))
% 1.52/1.77  (define @t259 () (tptp.aNaturalNumber0 @t255))
% 1.52/1.77  (define @t260 () (not @t259))
% 1.52/1.77  (define @t261 () (or @t260 @t258))
% 1.52/1.77  (define @t262 () (@list @t261))
% 1.52/1.77  (define @t263 () (tptp.aNaturalNumber0 @t165))
% 1.52/1.77  (define @t264 () (forall @t49 (or @t205 (not (= @t165 @t248)))))
% 1.52/1.77  (define @t265 () (not @t264))
% 1.52/1.77  (define @t266 () (tptp.sdtlseqdt0 @t164 @t165))
% 1.52/1.77  (define @t267 () (= @t266 @t265))
% 1.52/1.77  (define @t268 () (not @t263))
% 1.52/1.77  (define @t269 () (or @t174 @t268 @t267))
% 1.52/1.77  (define @t270 () (= tptp.sz00 @t5))
% 1.52/1.77  (define @t271 () (not @t71))
% 1.52/1.77  (define @t272 () (or @t271 @t270 @t51))
% 1.52/1.77  (define @t273 () (not @t270))
% 1.52/1.77  (define @t274 () (not @t273))
% 1.52/1.77  (define @t275 () (and @t71 @t273))
% 1.52/1.77  (define @t276 () (=> @t275 @t51))
% 1.52/1.77  (define @t277 () (tptp.sdtlseqdt0 @t164 tptp.xk))
% 1.52/1.77  (define @t278 () (= tptp.sz00 tptp.xk))
% 1.52/1.77  (define @t279 () (or @t174 @t198 @t172 @t278 @t277))
% 1.52/1.77  (define @t280 () (@quantifiers_skolemize @t264 0))
% 1.52/1.77  (define @t281 () (tptp.sdtpldt0 @t164 @t280))
% 1.52/1.77  (define @t282 () (= @t165 @t281))
% 1.52/1.77  (define @t283 () (not @t282))
% 1.52/1.77  (define @t284 () (tptp.aNaturalNumber0 @t280))
% 1.52/1.77  (define @t285 () (not @t284))
% 1.52/1.77  (define @t286 () (or @t285 @t283))
% 1.52/1.77  (define @t287 () (@list @t286))
% 1.52/1.77  (define @t288 () (tptp.sdtpldt0 @t255 @t164))
% 1.52/1.77  (define @t289 () (= @t256 @t288))
% 1.52/1.77  (define @t290 () (or @t174 @t260 @t289))
% 1.52/1.77  (define @t291 () (tptp.sdtpldt0 @t280 @t164))
% 1.52/1.77  (define @t292 () (= @t281 @t291))
% 1.52/1.77  (define @t293 () (or @t174 @t285 @t292))
% 1.52/1.77  (define @t294 () (@var "BOUND_VARIABLE_8139" $$unsorted))
% 1.52/1.77  (define @t295 () (tptp.sdtasdt0 @t5 @t294))
% 1.52/1.77  (define @t296 () (not (= @t1 @t295)))
% 1.52/1.77  (define @t297 () (not (tptp.aNaturalNumber0 @t294)))
% 1.52/1.77  (define @t298 () (not @t91))
% 1.52/1.77  (define @t299 () (= tptp.sz10 @t16))
% 1.52/1.77  (define @t300 () (not @t93))
% 1.52/1.77  (define @t301 () (@var "BOUND_VARIABLE_8118" $$unsorted))
% 1.52/1.77  (define @t302 () (tptp.sdtasdt0 @t16 @t301))
% 1.52/1.77  (define @t303 () (not (tptp.aNaturalNumber0 @t301)))
% 1.52/1.77  (define @t304 () (or @t303 (not (= @t5 @t302))))
% 1.52/1.77  (define @t305 () (and @t304 @t300))
% 1.52/1.77  (define @t306 () (or @t205 @t305 @t299 @t39))
% 1.52/1.77  (define @t307 () (@list @t16 @t301))
% 1.52/1.77  (define @t308 () (forall @t307 @t306))
% 1.52/1.77  (define @t309 () (not @t308))
% 1.52/1.77  (define @t310 () (= tptp.sz10 @t5))
% 1.52/1.77  (define @t311 () (not @t86))
% 1.52/1.77  (define @t312 () (or @t152 @t311 @t270 @t310 @t309 @t298 @t297 @t296))
% 1.52/1.77  (define @t313 () (@list @t5 @t294))
% 1.52/1.77  (define @t314 () (not (forall @t313 @t312)))
% 1.52/1.77  (define @t315 () (not @t110))
% 1.52/1.77  (define @t316 () (or @t140 @t45 @t64 @t315 @t314))
% 1.52/1.77  (define @t317 () (not @t88))
% 1.52/1.77  (define @t318 () (not @t46))
% 1.52/1.77  (define @t319 () (or @t140 @t318 @t317))
% 1.52/1.77  (define @t320 () (=> @t110 @t314))
% 1.52/1.77  (define @t321 () (or @t297 @t296))
% 1.52/1.77  (define @t322 () (or @t152 @t321 @t311 @t270 @t310 @t309 @t298))
% 1.52/1.77  (define @t323 () (forall @t313 @t322))
% 1.52/1.77  (define @t324 () (@list @t294))
% 1.52/1.77  (define @t325 () (forall @t324 @t322))
% 1.52/1.77  (define @t326 () (forall @t324 @t321))
% 1.52/1.77  (define @t327 () (@list @t16))
% 1.52/1.77  (define @t328 () (or @t152 @t326 @t311 @t270 @t310 @t309 @t298))
% 1.52/1.77  (define @t329 () (forall @t49 (or @t205 (not @t105))))
% 1.52/1.77  (define @t330 () (not @t310))
% 1.52/1.77  (define @t331 () (not @t330))
% 1.52/1.77  (define @t332 () (not @t329))
% 1.52/1.77  (define @t333 () (not @t332))
% 1.52/1.77  (define @t334 () (or @t152 @t333 @t311 @t274 @t331 @t309 @t298))
% 1.52/1.77  (define @t335 () (and @t7 @t332 @t86 @t273 @t330 @t308 @t91))
% 1.52/1.77  (define @t336 () (forall @t87 (not @t335)))
% 1.52/1.77  (define @t337 () (not @t336))
% 1.52/1.77  (define @t338 () (@list @t301))
% 1.52/1.77  (define @t339 () (forall @t338 @t306))
% 1.52/1.77  (define @t340 () (forall @t338 @t300))
% 1.52/1.77  (define @t341 () (forall @t338 @t304))
% 1.52/1.77  (define @t342 () (and @t341 @t340))
% 1.52/1.77  (define @t343 () (forall @t338 @t305))
% 1.52/1.77  (define @t344 () (or @t205 @t343 @t299 @t39))
% 1.52/1.77  (define @t345 () (forall @t98 (or (not @t96) (not @t95))))
% 1.52/1.77  (define @t346 () (and @t345 @t300))
% 1.52/1.77  (define @t347 () (or @t205 @t346 @t299 @t39))
% 1.52/1.77  (define @t348 () (or @t299 @t39))
% 1.52/1.77  (define @t349 () (not @t345))
% 1.52/1.77  (define @t350 () (or @t349 @t93))
% 1.52/1.77  (define @t351 () (and @t18 @t350))
% 1.52/1.77  (define @t352 () (forall @t98 (not @t97)))
% 1.52/1.77  (define @t353 () (not @t352))
% 1.52/1.77  (define @t354 () (forall @t49 (not @t106)))
% 1.52/1.77  (define @t355 () (not @t354))
% 1.52/1.77  (define @t356 () (not (= @t164 @t295)))
% 1.52/1.77  (define @t357 () (not (tptp.doDivides0 @t5 @t164)))
% 1.52/1.77  (define @t358 () (or @t152 @t357 @t270 @t310 @t309 @t298 @t297 @t356))
% 1.52/1.77  (define @t359 () (forall @t313 @t358))
% 1.52/1.77  (define @t360 () (not @t359))
% 1.52/1.77  (define @t361 () (tptp.iLess0 @t164 tptp.xk))
% 1.52/1.77  (define @t362 () (not @t361))
% 1.52/1.77  (define @t363 () (or @t174 (= @t164 tptp.sz00) @t179 @t362 @t360))
% 1.52/1.77  (define @t364 () (forall @t3 @t316))
% 1.52/1.77  (define @t365 () (forall @t313 (or @t152 @t357 @t270 @t310 @t309 @t298 @t297 (not (= @t295 @t164)))))
% 1.52/1.77  (define @t366 () (not @t365))
% 1.52/1.77  (define @t367 () (= tptp.sz00 @t164))
% 1.52/1.77  (define @t368 () (or @t174 @t367 @t170 @t362 @t366))
% 1.52/1.77  (define @t369 () (@quantifiers_skolemize @t365 1))
% 1.52/1.77  (define @t370 () (@quantifiers_skolemize @t365 0))
% 1.52/1.77  (define @t371 () (tptp.sdtasdt0 @t370 @t369))
% 1.52/1.77  (define @t372 () (= @t164 @t371))
% 1.52/1.77  (define @t373 () (not @t372))
% 1.52/1.77  (define @t374 () (tptp.aNaturalNumber0 @t369))
% 1.52/1.77  (define @t375 () (not @t374))
% 1.52/1.77  (define @t376 () (tptp.isPrime0 @t370))
% 1.52/1.77  (define @t377 () (not @t376))
% 1.52/1.77  (define @t378 () (not (tptp.doDivides0 @t16 @t370)))
% 1.52/1.77  (define @t379 () (= tptp.sz10 @t370))
% 1.52/1.77  (define @t380 () (= tptp.sz00 @t370))
% 1.52/1.77  (define @t381 () (not (tptp.doDivides0 @t370 @t164)))
% 1.52/1.77  (define @t382 () (tptp.aNaturalNumber0 @t370))
% 1.52/1.77  (define @t383 () (not @t382))
% 1.52/1.77  (define @t384 () (or @t383 @t381 @t380 @t379 (not (forall @t307 (or @t205 (and (or @t303 (not (= @t302 @t370))) @t378) @t299 (= @t16 @t370)))) @t377 @t375 @t373))
% 1.52/1.77  (define @t385 () (@var "BOUND_VARIABLE_8210" $$unsorted))
% 1.52/1.77  (define @t386 () (tptp.sdtasdt0 @t5 @t385))
% 1.52/1.77  (define @t387 () (not (tptp.aNaturalNumber0 @t385)))
% 1.52/1.77  (define @t388 () (not (tptp.doDivides0 @t5 @t370)))
% 1.52/1.77  (define @t389 () (@list @t5 @t385))
% 1.52/1.77  (define @t390 () (and (or @t380 @t379 (not (forall @t389 (or @t152 @t388 @t310 (= @t5 @t370) @t387 (not (= @t386 @t370)))))) @t377))
% 1.52/1.77  (define @t391 () (or @t140 @t152 @t205))
% 1.52/1.77  (define @t392 () (tptp.sdtasdt0 @t369 @t217))
% 1.52/1.77  (define @t393 () (tptp.sdtasdt0 @t370 @t392))
% 1.52/1.77  (define @t394 () (= (tptp.sdtasdt0 @t371 @t217) @t393))
% 1.52/1.77  (define @t395 () (or @t383 @t375 @t222 @t394))
% 1.52/1.77  (define @t396 () (tptp.aNaturalNumber0 @t392))
% 1.52/1.77  (define @t397 () (or @t375 @t222 @t396))
% 1.52/1.77  (define @t398 () (not @t89))
% 1.52/1.77  (define @t399 () (not (= @t1 @t386)))
% 1.52/1.77  (define @t400 () (or @t152 @t311 @t310 @t57 @t387 @t399))
% 1.52/1.77  (define @t401 () (forall @t389 @t400))
% 1.52/1.77  (define @t402 () (not @t401))
% 1.52/1.77  (define @t403 () (and (or @t45 @t64 @t402) @t398))
% 1.52/1.77  (define @t404 () (@var "BOUND_VARIABLE_8240" $$unsorted))
% 1.52/1.77  (define @t405 () (tptp.sdtasdt0 @t1 @t404))
% 1.52/1.77  (define @t406 () (not (tptp.aNaturalNumber0 @t404)))
% 1.52/1.77  (define @t407 () (@list @t1 @t404))
% 1.52/1.77  (define @t408 () (forall @t407 (or @t140 (and (or @t406 (not (= tptp.xk @t405))) @t139) @t403)))
% 1.52/1.77  (define @t409 () (not (= @t405 tptp.xk)))
% 1.52/1.77  (define @t410 () (or @t406 @t409))
% 1.52/1.77  (define @t411 () (and @t410 @t139))
% 1.52/1.77  (define @t412 () (or @t140 @t411 @t403))
% 1.52/1.77  (define @t413 () (forall @t407 @t412))
% 1.52/1.77  (define @t414 () (@list @t404))
% 1.52/1.77  (define @t415 () (forall @t414 @t412))
% 1.52/1.77  (define @t416 () (forall @t414 @t139))
% 1.52/1.77  (define @t417 () (forall @t414 @t410))
% 1.52/1.77  (define @t418 () (and @t417 @t416))
% 1.52/1.77  (define @t419 () (forall @t414 @t411))
% 1.52/1.77  (define @t420 () (or @t140 @t419 @t403))
% 1.52/1.77  (define @t421 () (or @t318 @t317 @t402))
% 1.52/1.77  (define @t422 () (and @t46 @t88 @t401))
% 1.52/1.77  (define @t423 () (or @t422 @t89))
% 1.52/1.77  (define @t424 () (not @t423))
% 1.52/1.77  (define @t425 () (or @t155 @t118))
% 1.52/1.77  (define @t426 () (not @t425))
% 1.52/1.77  (define @t427 () (or @t140 @t426 @t424))
% 1.52/1.77  (define @t428 () (and @t2 @t425 @t423))
% 1.52/1.77  (define @t429 () (forall @t3 (not @t428)))
% 1.52/1.77  (define @t430 () (not @t429))
% 1.52/1.77  (define @t431 () (or @t387 @t399))
% 1.52/1.77  (define @t432 () (or @t152 @t431 @t311 @t310 @t57))
% 1.52/1.77  (define @t433 () (forall @t389 @t432))
% 1.52/1.77  (define @t434 () (@list @t385))
% 1.52/1.77  (define @t435 () (forall @t434 @t432))
% 1.52/1.77  (define @t436 () (forall @t434 @t431))
% 1.52/1.77  (define @t437 () (or @t152 @t436 @t311 @t310 @t57))
% 1.52/1.77  (define @t438 () (or @t152 @t329 @t311 @t310 @t57))
% 1.52/1.77  (define @t439 () (or @t310 @t57))
% 1.52/1.77  (define @t440 () (or @t152 @t333 @t311))
% 1.52/1.77  (define @t441 () (and @t7 @t332 @t86))
% 1.52/1.77  (define @t442 () (not (= @t370 @t386)))
% 1.52/1.77  (define @t443 () (or @t152 @t388 @t310 (= @t370 @t5) @t387 @t442))
% 1.52/1.77  (define @t444 () (forall @t389 @t443))
% 1.52/1.77  (define @t445 () (not @t444))
% 1.52/1.77  (define @t446 () (or (= @t370 tptp.sz00) (= @t370 tptp.sz10) @t445))
% 1.52/1.77  (define @t447 () (and @t446 @t377))
% 1.52/1.77  (define @t448 () (= tptp.xk @t393))
% 1.52/1.77  (define @t449 () (not @t448))
% 1.52/1.77  (define @t450 () (not @t396))
% 1.52/1.77  (define @t451 () (or @t450 @t449))
% 1.52/1.77  (define @t452 () (and @t451 (not (tptp.doDivides0 @t370 tptp.xk))))
% 1.52/1.77  (define @t453 () (or @t383 @t452 @t447))
% 1.52/1.77  (define @t454 () (or @t383 @t452 @t390))
% 1.52/1.77  (define @t455 () (and @t219 @t372 @t394))
% 1.52/1.77  (define @t456 () (not @t384))
% 1.52/1.77  (define @t457 () (not (= @t371 @t164)))
% 1.52/1.77  (define @t458 () (not (= @t370 @t302)))
% 1.52/1.77  (define @t459 () (or @t303 @t458))
% 1.52/1.77  (define @t460 () (and @t459 @t378))
% 1.52/1.77  (define @t461 () (or @t205 @t460 @t299 (= @t370 @t16)))
% 1.52/1.77  (define @t462 () (forall @t307 @t461))
% 1.52/1.77  (define @t463 () (not @t462))
% 1.52/1.77  (define @t464 () (or @t383 @t381 @t380 @t379 @t463 @t377 @t375 @t457))
% 1.52/1.77  (define @t465 () (not @t464))
% 1.52/1.77  (define @t466 () (not @t51))
% 1.52/1.77  (define @t467 () (or @t140 @t152 @t57 @t466 @t65))
% 1.52/1.77  (define @t468 () (or @t57 @t466 @t65))
% 1.52/1.77  (define @t469 () (not @t277))
% 1.52/1.77  (define @t470 () (or @t174 @t198 @t178 @t469 @t361))
% 1.52/1.77  (define @t471 () (forall @t9 @t467))
% 1.52/1.77  (define @t472 () (or @t174 @t198 @t169 @t469 @t361))
% 1.52/1.77  (define @t473 () (not @t292))
% 1.52/1.77  (define @t474 () (not @t289))
% 1.52/1.77  (define @t475 () (not @t240))
% 1.52/1.77  (define @t476 () (not @t232))
% 1.52/1.77  (define @t477 () (not @t230))
% 1.52/1.77  (define @t478 () (not @t236))
% 1.52/1.77  (define @t479 () (not @t367))
% 1.52/1.77  (define @t480 () (not @t202))
% 1.52/1.77  (define @t481 () (not @t196))
% 1.52/1.77  (define @t482 () (not @t186))
% 1.52/1.77  (define @t483 () (= @t201 @t226))
% 1.52/1.77  (define @t484 () (= @t288 @t291))
% 1.52/1.77  (define @t485 () (and @t282 @t186 @t483 @t230 @t166 @t257 @t367 @t202 @t292 @t196 @t484 @t289 @t183))
% 1.52/1.77  (assume @p1 (forall @t3 (=> @t2 true)))
% 1.52/1.77  (assume @p2 @t4)
% 1.52/1.77  (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))))
% 1.52/1.77  (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6))))
% 1.52/1.77  (assume @p5 @t12)
% 1.52/1.77  (assume @p6 @t15)
% 1.52/1.77  (assume @p7 (forall @t20 (=> @t19 (= (tptp.sdtpldt0 @t6 @t16) (tptp.sdtpldt0 @t1 @t17)))))
% 1.52/1.77  (assume @p8 @t25)
% 1.52/1.77  (assume @p9 @t28)
% 1.52/1.77  (assume @p10 @t31)
% 1.52/1.77  (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))))))
% 1.52/1.77  (assume @p12 @t36)
% 1.52/1.77  (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t10 @t38)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t26 @t37))))))
% 1.52/1.77  (assume @p14 (forall @t20 (=> @t19 (=> (or (= @t6 @t41) (= @t13 @t40)) @t39))))
% 1.52/1.77  (assume @p15 (forall @t3 (=> @t2 (=> @t46 (forall (@list @t5 @t16) (=> @t44 (=> (or @t43 @t42) @t39)))))))
% 1.52/1.77  (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t45 @t47)))))
% 1.52/1.77  (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t45 @t47)))))
% 1.52/1.77  (assume @p18 @t54)
% 1.52/1.77  (assume @p19 (forall @t9 (=> @t8 (=> @t51 (forall @t49 (= (= @t16 (tptp.sdtmndt0 @t5 @t1)) @t48))))))
% 1.52/1.77  (assume @p20 @t56)
% 1.52/1.77  (assume @p21 (forall @t9 (=> @t8 (=> (and @t51 @t58) @t57))))
% 1.52/1.77  (assume @p22 (forall @t20 (=> @t19 (=> (and @t51 @t59) (tptp.sdtlseqdt0 @t1 @t16)))))
% 1.52/1.77  (assume @p23 (forall @t9 (=> @t8 (or @t51 (and (not @t60) @t58)))))
% 1.52/1.77  (assume @p24 (forall @t9 (=> @t8 (=> @t63 (forall @t49 (=> @t18 (and (not (= @t40 @t61)) (tptp.sdtlseqdt0 @t40 @t61) (not (= @t41 @t17)) (tptp.sdtlseqdt0 @t41 @t17))))))))
% 1.52/1.77  (assume @p25 (forall @t20 (=> @t19 (=> (and @t46 (not @t39) @t59) (and (not @t43) (tptp.sdtlseqdt0 @t10 @t38) (not @t42) (tptp.sdtlseqdt0 @t26 @t37))))))
% 1.52/1.77  (assume @p26 (forall @t3 (=> @t2 (or @t45 @t64 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1))))))
% 1.52/1.77  (assume @p27 (forall @t9 (=> @t8 (=> @t46 (tptp.sdtlseqdt0 @t5 @t26)))))
% 1.52/1.77  (assume @p28 (forall @t9 (=> @t8 (=> @t65 true))))
% 1.52/1.77  (assume @p29 @t67)
% 1.52/1.77  (assume @p30 @t74)
% 1.52/1.77  (assume @p31 (forall @t9 (=> @t8 (=> @t76 (forall @t49 (= (= @t16 @t75) @t69))))))
% 1.52/1.77  (assume @p32 (forall @t20 (=> @t19 (=> (and @t71 (tptp.doDivides0 @t5 @t16)) @t77))))
% 1.52/1.77  (assume @p33 (forall @t20 (=> @t19 (=> (and @t71 @t77) @t78))))
% 1.52/1.77  (assume @p34 (forall @t20 (=> @t19 (=> (and @t71 @t78) @t77))))
% 1.52/1.77  (assume @p35 @t83)
% 1.52/1.77  (assume @p36 (forall @t9 (=> @t8 (=> @t76 (forall @t49 (=> @t18 (= (tptp.sdtasdt0 @t16 @t75) (tptp.sdtsldt0 (tptp.sdtasdt0 @t16 @t5) @t1))))))))
% 1.52/1.77  (assume @p37 (forall @t3 (=> @t2 (= @t89 (and @t46 @t88 (forall @t87 (=> (and @t7 @t86) @t85)))))))
% 1.52/1.77  (assume @p38 @t90)
% 1.52/1.77  (assume @p39 @t114)
% 1.52/1.77  (assume @p40 (and (not (= tptp.xk tptp.sz00)) (not (= tptp.xk tptp.sz10))))
% 1.52/1.77  (assume @p41 @t125)
% 1.52/1.77  (assume @p42 @t134)
% 1.52/1.77  (assume @p43 true)
% 1.52/1.77  (step @p44 :rule refl :args (@t115))
% 1.52/1.77  (step @p45 :rule eq-symm :args (@t136 tptp.xk))
% 1.52/1.77  (step @p46 :rule cong :premises (@p45) :args (@t137))
% 1.52/1.77  (step @p47 :rule refl :args (@t138))
% 1.52/1.77  (step @p48 :rule refl :args (@t116))
% 1.52/1.77  (step @p49 :rule refl :args (@t64))
% 1.52/1.77  (step @p50 :rule refl :args (@t139))
% 1.52/1.77  (step @p51 :rule refl :args (@t140))
% 1.52/1.77  (step @p52 :rule nary_cong :premises (@p51 @p50 @p49 @p48 @p47 @p46) :args (@t141))
% 1.52/1.77  (step @p53 :rule aci_norm :args ((= @t143 @t141)))
% 1.52/1.77  (step @p54 :rule trans :premises (@p53 @p52))
% 1.52/1.77  (step @p55 :rule cong :premises (@p54) :args (@t145))
% 1.52/1.77  (step @p56 :rule quant-merge-prenex :args ((= (forall @t3 @t147) @t145)))
% 1.52/1.77  (step @p57 :rule refl :args (@t116))
% 1.52/1.77  (step @p58 :rule refl :args (@t64))
% 1.52/1.77  (step @p59 :rule refl :args (@t139))
% 1.52/1.77  (step @p60 :rule alpha_equiv :args (@t148 (@list @t135) @t149))
% 1.52/1.77  (step @p61 :rule refl :args (@t140))
% 1.52/1.77  (step @p62 :rule nary_cong :premises (@p61 @p60 @p59 @p58 @p57) :args (@t150))
% 1.52/1.77  (step @p63 :rule quant-miniscope-or :args ((= @t147 @t150)))
% 1.52/1.77  (step @p64 :rule trans :premises (@p63 @p62))
% 1.52/1.77  (step @p65 :rule symm :premises (@p64))
% 1.52/1.77  (step @p66 :rule cong :premises (@p65) :args ((forall @t3 @t154)))
% 1.52/1.77  (step @p67 :rule trans :premises (@p66 @p56))
% 1.52/1.77  (step @p68 :rule trans :premises (@p67 @p55))
% 1.52/1.77  (step @p69 :rule aci_norm :args ((= (or (or @t140 @t153 @t139) @t117) @t154)))
% 1.52/1.77  (step @p70 :rule refl :args (@t117))
% 1.52/1.77  (step @p71 :rule bool-double-not-elim :args (@t153))
% 1.52/1.77  (step @p72 :rule nary_cong :premises (@p61 @p71 @p59) :args (@t157))
% 1.52/1.77  (step @p73 :rule aci_norm :args ((= (or @t140 (or @t156 @t139)) @t157)))
% 1.52/1.77  (step @p74 :rule trans :premises (@p73 @p72))
% 1.52/1.77  (step @p75 :rule bool-and-de-morgan :args (@t155 @t118 true))
% 1.52/1.77  (step @p76 :rule nary_cong :premises (@p61 @p75) :args ((or @t140 (not (and @t155 @t118)))))
% 1.52/1.77  (step @p77 :rule bool-and-de-morgan :args (@t2 @t155 (and @t118)))
% 1.52/1.77  (step @p78 :rule trans :premises (@p77 @p76))
% 1.52/1.77  (step @p79 :rule trans :premises (@p78 @p74))
% 1.52/1.77  (step @p80 :rule nary_cong :premises (@p79 @p70) :args ((or (not @t158) @t117)))
% 1.52/1.77  (step @p81 :rule trans :premises (@p80 @p69))
% 1.52/1.77  (step @p82 :rule bool-impl-elim :args (@t158 @t117))
% 1.52/1.77  (step @p83 :rule trans :premises (@p82 @p81))
% 1.52/1.77  (step @p84 :rule cong :premises (@p83) :args ((forall @t3 (=> @t158 @t117))))
% 1.52/1.77  (step @p85 :rule trans :premises (@p84 @p68))
% 1.52/1.77  (step @p86 :rule refl :args (@t117))
% 1.52/1.77  (step @p87 :rule refl :args (@t118))
% 1.52/1.77  (step @p88 :rule bool-and-de-morgan :args (@t7 @t151 true))
% 1.52/1.77  (step @p89 :rule cong :premises (@p88) :args (@t160))
% 1.52/1.77  (step @p90 :rule cong :premises (@p89) :args (@t161))
% 1.52/1.77  (step @p91 :rule exists-elim :args ((= (exists @t87 @t159) @t161)))
% 1.52/1.77  (step @p92 :rule trans :premises (@p91 @p90))
% 1.52/1.77  (step @p93 :rule eq-symm :args (tptp.xk @t10))
% 1.52/1.77  (step @p94 :rule refl :args (@t7))
% 1.52/1.77  (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t119))
% 1.52/1.77  (step @p96 :rule cong :premises (@p95) :args (@t120))
% 1.52/1.77  (step @p97 :rule trans :premises (@p96 @p92))
% 1.52/1.77  (step @p98 :rule refl :args (@t2))
% 1.52/1.77  (step @p99 :rule nary_cong :premises (@p98 @p97 @p87) :args (@t121))
% 1.52/1.77  (step @p100 :rule cong :premises (@p99 @p86) :args (@t122))
% 1.52/1.77  (step @p101 :rule cong :premises (@p100) :args (@t123))
% 1.52/1.77  (step @p102 :rule trans :premises (@p101 @p85))
% 1.52/1.77  (step @p103 :rule nary_cong :premises (@p102 @p44) :args (@t124))
% 1.52/1.77  (step @p104 :rule cong :premises (@p103) :args (@t125))
% 1.52/1.77  (step @p105 :rule eq_resolve :premises (@p41 @p104))
% 1.52/1.77  (step @p106 :rule not_or_elim :premises (@p105) :args (0))
% 1.52/1.77  (step @p107 :rule refl :args (@t176))
% 1.52/1.77  (step @p108 :rule bool-double-not-elim :args (@t162))
% 1.52/1.77  (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t177) @t176)))
% 1.52/1.77  (step @p110 :rule refl :args (@t167))
% 1.52/1.77  (step @p111 :rule refl :args (@t168))
% 1.52/1.77  (step @p112 :rule eq-symm :args (@t164 tptp.xk))
% 1.52/1.77  (step @p113 :rule eq-symm :args (@t164 tptp.sz10))
% 1.52/1.77  (step @p114 :rule refl :args (@t172))
% 1.52/1.77  (step @p115 :rule refl :args (@t174))
% 1.52/1.77  (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111 @p110) :args (@t180))
% 1.52/1.77  (step @p117 :rule cong :premises (@p116) :args (@t181))
% 1.52/1.77  (step @p118 :rule refl :args (@t177))
% 1.52/1.77  (step @p119 :rule cong :premises (@p118 @p117) :args ((=> @t177 @t181)))
% 1.52/1.77  (assume-push @p987 @t177)
% 1.52/1.77  (step @p121 :rule skolemize :premises (@p106))
% 1.52/1.77  (step-pop @p988 :rule scope :premises (@p121))
% 1.52/1.77  (step @p122 :rule process_scope :premises (@p988) :args (@t181))
% 1.52/1.77  (step @p124 :rule eq_resolve :premises (@p122 @p119))
% 1.52/1.77  (step @p125 :rule implies_elim :premises (@p124))
% 1.52/1.77  (step @p126 :rule eq_resolve :premises (@p125 @p109))
% 1.52/1.77  (step @p127 :rule chain_m_resolution :premises (@p126 @p106) :args (@t176 @t182 (@list @t162)))
% 1.52/1.77  (step @p128 :rule cnf_or_neg :args (@t175 3))
% 1.52/1.77  (step @p129 :rule chain_m_resolution :premises (@p128 @p127) :args (@t183 @t182 @t184))
% 1.52/1.77  (step @p130 :rule bool-double-not-elim :args (@t166))
% 1.52/1.77  (step @p131 :rule refl :args (@t175))
% 1.52/1.77  (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t175 (not @t167))))
% 1.52/1.77  (step @p133 :rule cnf_or_neg :args (@t175 5))
% 1.52/1.77  (step @p134 :rule eq_resolve :premises (@p133 @p132))
% 1.52/1.77  (step @p135 :rule reordering :premises (@p134) :args ((or @t166 @t175)))
% 1.52/1.77  (step @p136 :rule chain_m_resolution :premises (@p135 @p127) :args (@t166 @t182 @t184))
% 1.52/1.77  (step @p137 :rule bool-impl-elim :args (@t2 @t185))
% 1.52/1.77  (step @p138 :rule cong :premises (@p137) :args ((forall @t3 (=> @t2 @t185))))
% 1.52/1.77  (step @p139 :rule refl :args (@t21))
% 1.52/1.77  (step @p140 :rule eq-symm :args (@t22 @t1))
% 1.52/1.77  (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t23))
% 1.52/1.77  (step @p142 :rule cong :premises (@p98 @p141) :args (@t24))
% 1.52/1.77  (step @p143 :rule cong :premises (@p142) :args (@t25))
% 1.52/1.77  (step @p144 :rule trans :premises (@p143 @p138))
% 1.52/1.77  (step @p145 :rule eq_resolve :premises (@p8 @p144))
% 1.52/1.77  (step @p146 :rule aci_norm :args ((= @t187 @t186)))
% 1.52/1.77  (step @p147 :rule refl :args (@t188))
% 1.52/1.77  (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t189))
% 1.52/1.77  (step @p149 :rule refl :args (@t190))
% 1.52/1.77  (step @p150 :rule cong :premises (@p149 @p148) :args ((=> @t190 @t189)))
% 1.52/1.77  (assume-push @p989 @t190)
% 1.52/1.77  (step @p152 :rule instantiate :premises (@p145) :args ((@list tptp.sz00)))
% 1.52/1.77  (step-pop @p990 :rule scope :premises (@p152))
% 1.52/1.77  (step @p153 :rule process_scope :premises (@p990) :args (@t189))
% 1.52/1.77  (step @p155 :rule eq_resolve :premises (@p153 @p150))
% 1.52/1.77  (step @p156 :rule implies_elim :premises (@p155))
% 1.52/1.77  (step @p157 :rule chain_m_resolution :premises (@p156 @p145) :args (@t191 @t192 (@list @t190)))
% 1.52/1.77  (step @p158 :rule cnf_or_pos :args (@t191))
% 1.52/1.77  (step @p159 :rule reordering :premises (@p158) :args ((or @t188 @t186 (not @t191))))
% 1.52/1.77  (step @p160 :rule chain_m_resolution :premises (@p159 @p2 @p157) :args (@t186 @t193 (@list @t4 @t191)))
% 1.52/1.77  (step @p161 :rule bool-impl-elim :args (@t2 @t194))
% 1.52/1.77  (step @p162 :rule cong :premises (@p161) :args ((forall @t3 (=> @t2 @t194))))
% 1.52/1.77  (step @p163 :rule refl :args (@t32))
% 1.52/1.77  (step @p164 :rule eq-symm :args (@t33 tptp.sz00))
% 1.52/1.77  (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t34))
% 1.52/1.77  (step @p166 :rule cong :premises (@p98 @p165) :args (@t35))
% 1.52/1.77  (step @p167 :rule cong :premises (@p166) :args (@t36))
% 1.52/1.77  (step @p168 :rule trans :premises (@p167 @p162))
% 1.52/1.77  (step @p169 :rule eq_resolve :premises (@p12 @p168))
% 1.52/1.77  (step @p170 :rule instantiate :premises (@p169) :args ((@list tptp.xk)))
% 1.52/1.77  (step @p171 :rule cnf_or_pos :args (@t199))
% 1.52/1.77  (step @p172 :rule reordering :premises (@p171) :args ((or @t198 @t197 (not @t199))))
% 1.52/1.77  (step @p173 :rule chain_m_resolution :premises (@p172 @p38 @p170) :args (@t197 @t193 (@list @t90 @t199)))
% 1.52/1.77  (step @p174 :rule cnf_and_pos :args (@t197 0))
% 1.52/1.77  (step @p175 :rule reordering :premises (@p174) :args ((or @t196 (not @t197))))
% 1.52/1.77  (step @p176 :rule chain_m_resolution :premises (@p175 @p173) :args (@t196 @t192 (@list @t197)))
% 1.52/1.77  (step @p177 :rule instantiate :premises (@p169) :args (@t200))
% 1.52/1.77  (step @p178 :rule bool-double-not-elim :args (@t173))
% 1.52/1.77  (step @p179 :rule nary_cong :premises (@p131 @p178) :args ((or @t175 (not @t174))))
% 1.52/1.77  (step @p180 :rule cnf_or_neg :args (@t175 0))
% 1.52/1.77  (step @p181 :rule eq_resolve :premises (@p180 @p179))
% 1.52/1.77  (step @p182 :rule reordering :premises (@p181) :args ((or @t173 @t175)))
% 1.52/1.77  (step @p183 :rule chain_m_resolution :premises (@p182 @p127) :args (@t173 @t182 @t184))
% 1.52/1.77  (step @p184 :rule cnf_or_pos :args (@t204))
% 1.52/1.77  (step @p185 :rule reordering :premises (@p184) :args ((or @t174 @t203 (not @t204))))
% 1.52/1.77  (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p177) :args (@t203 @t193 (@list @t173 @t204)))
% 1.52/1.77  (step @p187 :rule cnf_and_pos :args (@t203 1))
% 1.52/1.77  (step @p188 :rule reordering :premises (@p187) :args ((or @t202 (not @t203))))
% 1.52/1.77  (step @p189 :rule chain_m_resolution :premises (@p188 @p186) :args (@t202 @t192 (@list @t203)))
% 1.52/1.77  (step @p190 :rule aci_norm :args ((= (or @t207 @t206) (or @t140 @t152 @t206))))
% 1.52/1.77  (step @p191 :rule refl :args (@t206))
% 1.52/1.77  (step @p192 :rule bool-and-de-morgan :args (@t2 @t7 true))
% 1.52/1.77  (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or @t208 @t206)))
% 1.52/1.77  (step @p194 :rule trans :premises (@p193 @p190))
% 1.52/1.77  (step @p195 :rule bool-impl-elim :args (@t8 @t206))
% 1.52/1.77  (step @p196 :rule trans :premises (@p195 @p194))
% 1.52/1.77  (step @p197 :rule cong :premises (@p196) :args ((forall @t9 (=> @t8 @t206))))
% 1.52/1.77  (step @p198 :rule bool-and-de-morgan :args (@t18 @t68 true))
% 1.52/1.77  (step @p199 :rule cong :premises (@p198) :args (@t209))
% 1.52/1.77  (step @p200 :rule cong :premises (@p199) :args (@t210))
% 1.52/1.77  (step @p201 :rule exists-elim :args ((= @t70 @t210)))
% 1.52/1.77  (step @p202 :rule trans :premises (@p201 @p200))
% 1.52/1.77  (step @p203 :rule refl :args (@t71))
% 1.52/1.77  (step @p204 :rule cong :premises (@p203 @p202) :args (@t72))
% 1.52/1.77  (step @p205 :rule refl :args (@t8))
% 1.52/1.77  (step @p206 :rule cong :premises (@p205 @p204) :args (@t73))
% 1.52/1.77  (step @p207 :rule cong :premises (@p206) :args (@t74))
% 1.52/1.77  (step @p208 :rule trans :premises (@p207 @p197))
% 1.52/1.77  (step @p209 :rule eq_resolve :premises (@p30 @p208))
% 1.52/1.77  (step @p210 :rule instantiate :premises (@p209) :args (@t211))
% 1.52/1.77  (step @p211 :rule cnf_or_pos :args (@t215))
% 1.52/1.77  (step @p212 :rule reordering :premises (@p211) :args ((or @t198 @t174 @t214 (not @t215))))
% 1.52/1.77  (step @p213 :rule chain_m_resolution :premises (@p212 @p38 @p183 @p210) :args (@t214 @t216 (@list @t90 @t173 @t215)))
% 1.52/1.77  (step @p214 :rule bool-double-not-elim :args (@t171))
% 1.52/1.77  (step @p215 :rule nary_cong :premises (@p131 @p214) :args ((or @t175 (not @t172))))
% 1.52/1.77  (step @p216 :rule cnf_or_neg :args (@t175 1))
% 1.52/1.77  (step @p217 :rule eq_resolve :premises (@p216 @p215))
% 1.52/1.77  (step @p218 :rule reordering :premises (@p217) :args ((or @t171 @t175)))
% 1.52/1.77  (step @p219 :rule chain_m_resolution :premises (@p218 @p127) :args (@t171 @t182 @t184))
% 1.52/1.77  (step @p220 :rule cnf_equiv_pos1 :args (@t214))
% 1.52/1.77  (step @p221 :rule reordering :premises (@p220) :args ((or @t172 @t213 (not @t214))))
% 1.52/1.77  (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p213) :args (@t213 @t193 (@list @t171 @t214)))
% 1.52/1.77  (step @p223 :rule skolemize :premises (@p222))
% 1.52/1.77  (step @p224 :rule bool-double-not-elim :args (@t219))
% 1.52/1.77  (step @p225 :rule refl :args (@t223))
% 1.52/1.77  (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t223 (not @t220))))
% 1.52/1.77  (step @p227 :rule cnf_or_neg :args (@t223 1))
% 1.52/1.77  (step @p228 :rule eq_resolve :premises (@p227 @p226))
% 1.52/1.77  (step @p229 :rule reordering :premises (@p228) :args ((or @t219 @t223)))
% 1.52/1.77  (step @p230 :rule chain_m_resolution :premises (@p229 @p223) :args (@t219 @t182 @t224))
% 1.52/1.77  (step @p231 :rule aci_norm :args ((= (or @t207 @t27) @t225)))
% 1.52/1.77  (step @p232 :rule refl :args (@t27))
% 1.52/1.77  (step @p233 :rule nary_cong :premises (@p192 @p232) :args ((or @t208 @t27)))
% 1.52/1.77  (step @p234 :rule trans :premises (@p233 @p231))
% 1.52/1.77  (step @p235 :rule bool-impl-elim :args (@t8 @t27))
% 1.52/1.77  (step @p236 :rule trans :premises (@p235 @p234))
% 1.52/1.77  (step @p237 :rule cong :premises (@p236) :args (@t28))
% 1.52/1.77  (step @p238 :rule eq_resolve :premises (@p9 @p237))
% 1.52/1.77  (step @p239 :rule eq-symm :args (@t226 @t227))
% 1.52/1.77  (step @p240 :rule refl :args (@t198))
% 1.52/1.77  (step @p241 :rule nary_cong :premises (@p240 @p115 @p239) :args (@t228))
% 1.52/1.77  (step @p242 :rule refl :args (@t229))
% 1.52/1.77  (step @p243 :rule cong :premises (@p242 @p241) :args ((=> @t229 @t228)))
% 1.52/1.77  (assume-push @p991 @t229)
% 1.52/1.77  (step @p245 :rule instantiate :premises (@p238) :args ((@list tptp.xk @t164)))
% 1.52/1.77  (step-pop @p992 :rule scope :premises (@p245))
% 1.52/1.77  (step @p246 :rule process_scope :premises (@p992) :args (@t228))
% 1.52/1.77  (step @p248 :rule eq_resolve :premises (@p246 @p243))
% 1.52/1.77  (step @p249 :rule implies_elim :premises (@p248))
% 1.52/1.77  (step @p250 :rule chain_m_resolution :premises (@p249 @p238) :args (@t231 @t192 (@list @t229)))
% 1.52/1.77  (step @p251 :rule cnf_or_pos :args (@t231))
% 1.52/1.77  (step @p252 :rule reordering :premises (@p251) :args ((or @t198 @t174 @t230 (not @t231))))
% 1.52/1.77  (step @p253 :rule chain_m_resolution :premises (@p252 @p38 @p183 @p250) :args (@t230 @t216 (@list @t90 @t173 @t231)))
% 1.52/1.77  (step @p254 :rule instantiate :premises (@p238) :args ((@list @t164 @t217)))
% 1.52/1.77  (step @p255 :rule bool-double-not-elim :args (@t221))
% 1.52/1.77  (step @p256 :rule nary_cong :premises (@p225 @p255) :args ((or @t223 (not @t222))))
% 1.52/1.77  (step @p257 :rule cnf_or_neg :args (@t223 0))
% 1.52/1.77  (step @p258 :rule eq_resolve :premises (@p257 @p256))
% 1.52/1.77  (step @p259 :rule reordering :premises (@p258) :args ((or @t221 @t223)))
% 1.52/1.77  (step @p260 :rule chain_m_resolution :premises (@p259 @p223) :args (@t221 @t182 @t224))
% 1.52/1.77  (step @p261 :rule cnf_or_pos :args (@t233))
% 1.52/1.77  (step @p262 :rule reordering :premises (@p261) :args ((or @t174 @t222 @t232 (not @t233))))
% 1.52/1.77  (step @p263 :rule chain_m_resolution :premises (@p262 @p183 @p260 @p254) :args (@t232 @t216 (@list @t173 @t221 @t233)))
% 1.52/1.77  (step @p264 :rule instantiate :premises (@p145) :args (@t234))
% 1.52/1.77  (step @p265 :rule cnf_or_pos :args (@t238))
% 1.52/1.77  (step @p266 :rule reordering :premises (@p265) :args ((or @t222 @t237 (not @t238))))
% 1.52/1.77  (step @p267 :rule chain_m_resolution :premises (@p266 @p260 @p264) :args (@t237 @t193 (@list @t221 @t238)))
% 1.52/1.77  (step @p268 :rule cnf_and_pos :args (@t237 0))
% 1.52/1.77  (step @p269 :rule reordering :premises (@p268) :args ((or @t236 (not @t237))))
% 1.52/1.77  (step @p270 :rule chain_m_resolution :premises (@p269 @p267) :args (@t236 @t192 (@list @t237)))
% 1.52/1.77  (step @p271 :rule instantiate :premises (@p169) :args (@t234))
% 1.52/1.77  (step @p272 :rule cnf_or_pos :args (@t242))
% 1.52/1.77  (step @p273 :rule reordering :premises (@p272) :args ((or @t222 @t241 (not @t242))))
% 1.52/1.77  (step @p274 :rule chain_m_resolution :premises (@p273 @p260 @p271) :args (@t241 @t193 (@list @t221 @t242)))
% 1.52/1.77  (step @p275 :rule cnf_and_pos :args (@t241 0))
% 1.52/1.77  (step @p276 :rule reordering :premises (@p275) :args ((or @t240 (not @t241))))
% 1.52/1.77  (step @p277 :rule chain_m_resolution :premises (@p276 @p274) :args (@t240 @t192 (@list @t241)))
% 1.52/1.77  (step @p278 :rule aci_norm :args ((= (or @t207 @t244) (or @t140 @t152 @t244))))
% 1.52/1.77  (step @p279 :rule refl :args (@t244))
% 1.52/1.77  (step @p280 :rule nary_cong :premises (@p192 @p279) :args ((or @t208 @t244)))
% 1.52/1.77  (step @p281 :rule trans :premises (@p280 @p278))
% 1.52/1.77  (step @p282 :rule bool-impl-elim :args (@t8 @t244))
% 1.52/1.77  (step @p283 :rule trans :premises (@p282 @p281))
% 1.52/1.77  (step @p284 :rule cong :premises (@p283) :args ((forall @t9 (=> @t8 @t244))))
% 1.52/1.77  (step @p285 :rule bool-and-de-morgan :args (@t18 @t243 true))
% 1.52/1.77  (step @p286 :rule cong :premises (@p285) :args (@t246))
% 1.52/1.77  (step @p287 :rule cong :premises (@p286) :args (@t247))
% 1.52/1.77  (step @p288 :rule exists-elim :args ((= (exists @t49 @t245) @t247)))
% 1.52/1.77  (step @p289 :rule trans :premises (@p288 @p287))
% 1.52/1.77  (step @p290 :rule eq-symm :args (@t41 @t5))
% 1.52/1.77  (step @p291 :rule refl :args (@t18))
% 1.52/1.77  (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t48))
% 1.52/1.77  (step @p293 :rule cong :premises (@p292) :args (@t50))
% 1.52/1.77  (step @p294 :rule trans :premises (@p293 @p289))
% 1.52/1.77  (step @p295 :rule refl :args (@t51))
% 1.52/1.77  (step @p296 :rule cong :premises (@p295 @p294) :args (@t52))
% 1.52/1.77  (step @p297 :rule cong :premises (@p205 @p296) :args (@t53))
% 1.52/1.77  (step @p298 :rule cong :premises (@p297) :args (@t54))
% 1.52/1.77  (step @p299 :rule trans :premises (@p298 @p284))
% 1.52/1.77  (step @p300 :rule eq_resolve :premises (@p18 @p299))
% 1.52/1.77  (step @p301 :rule instantiate :premises (@p300) :args ((@list @t164 @t164)))
% 1.52/1.77  (step @p302 :rule cnf_or_pos :args (@t253))
% 1.52/1.77  (step @p303 :rule factoring :premises (@p302))
% 1.52/1.77  (step @p304 :rule reordering :premises (@p303) :args ((or @t174 @t252 (not @t253))))
% 1.52/1.77  (step @p305 :rule chain_m_resolution :premises (@p304 @p183 @p301) :args (@t252 @t193 (@list @t173 @t253)))
% 1.52/1.77  (step @p306 :rule bool-impl-elim :args (@t2 @t55))
% 1.52/1.77  (step @p307 :rule cong :premises (@p306) :args (@t56))
% 1.52/1.77  (step @p308 :rule eq_resolve :premises (@p20 @p307))
% 1.52/1.77  (step @p309 :rule instantiate :premises (@p308) :args (@t200))
% 1.52/1.77  (step @p310 :rule cnf_or_pos :args (@t254))
% 1.52/1.77  (step @p311 :rule reordering :premises (@p310) :args ((or @t174 @t251 (not @t254))))
% 1.52/1.77  (step @p312 :rule chain_m_resolution :premises (@p311 @p183 @p309) :args (@t251 @t193 (@list @t173 @t254)))
% 1.52/1.77  (step @p313 :rule cnf_equiv_pos1 :args (@t252))
% 1.52/1.77  (step @p314 :rule reordering :premises (@p313) :args ((or (not @t251) @t250 (not @t252))))
% 1.52/1.77  (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p305) :args (@t250 @t193 (@list @t251 @t252)))
% 1.52/1.77  (step @p316 :rule skolemize :premises (@p315))
% 1.52/1.77  (step @p317 :rule bool-double-not-elim :args (@t257))
% 1.52/1.77  (step @p318 :rule refl :args (@t261))
% 1.52/1.77  (step @p319 :rule nary_cong :premises (@p318 @p317) :args ((or @t261 (not @t258))))
% 1.52/1.77  (step @p320 :rule cnf_or_neg :args (@t261 1))
% 1.52/1.77  (step @p321 :rule eq_resolve :premises (@p320 @p319))
% 1.52/1.77  (step @p322 :rule reordering :premises (@p321) :args ((or @t257 @t261)))
% 1.52/1.77  (step @p323 :rule chain_m_resolution :premises (@p322 @p316) :args (@t257 @t182 @t262))
% 1.52/1.77  (step @p324 :rule instantiate :premises (@p300) :args ((@list @t164 @t165)))
% 1.52/1.77  (step @p325 :rule true_intro :premises (@p38))
% 1.52/1.77  (step @p326 :rule symm :premises (@p136))
% 1.52/1.77  (step @p327 :rule cong :premises (@p326) :args (@t263))
% 1.52/1.77  (step @p328 :rule trans :premises (@p327 @p325))
% 1.52/1.77  (step @p329 :rule true_elim :premises (@p328))
% 1.52/1.77  (step @p330 :rule cnf_or_pos :args (@t269))
% 1.52/1.77  (step @p331 :rule reordering :premises (@p330) :args ((or @t174 @t268 @t267 (not @t269))))
% 1.52/1.77  (step @p332 :rule chain_m_resolution :premises (@p331 @p183 @p329 @p324) :args (@t267 @t216 (@list @t173 @t263 @t269)))
% 1.52/1.77  (step @p333 :rule aci_norm :args ((= (or @t207 @t272) (or @t140 @t152 @t271 @t270 @t51))))
% 1.52/1.77  (step @p334 :rule aci_norm :args ((= (or (or @t271 @t270) @t51) @t272)))
% 1.52/1.77  (step @p335 :rule refl :args (@t51))
% 1.52/1.77  (step @p336 :rule bool-double-not-elim :args (@t270))
% 1.52/1.77  (step @p337 :rule refl :args (@t271))
% 1.52/1.77  (step @p338 :rule nary_cong :premises (@p337 @p336) :args ((or @t271 @t274)))
% 1.52/1.77  (step @p339 :rule bool-and-de-morgan :args (@t71 @t273 true))
% 1.52/1.77  (step @p340 :rule trans :premises (@p339 @p338))
% 1.52/1.77  (step @p341 :rule nary_cong :premises (@p340 @p335) :args ((or (not @t275) @t51)))
% 1.52/1.77  (step @p342 :rule trans :premises (@p341 @p334))
% 1.52/1.77  (step @p343 :rule bool-impl-elim :args (@t275 @t51))
% 1.52/1.77  (step @p344 :rule trans :premises (@p343 @p342))
% 1.52/1.77  (step @p345 :rule nary_cong :premises (@p192 @p344) :args ((or @t208 @t276)))
% 1.52/1.77  (step @p346 :rule trans :premises (@p345 @p333))
% 1.52/1.77  (step @p347 :rule bool-impl-elim :args (@t8 @t276))
% 1.52/1.77  (step @p348 :rule trans :premises (@p347 @p346))
% 1.52/1.77  (step @p349 :rule cong :premises (@p348) :args ((forall @t9 (=> @t8 @t276))))
% 1.52/1.77  (step @p350 :rule eq-symm :args (@t5 tptp.sz00))
% 1.52/1.77  (step @p351 :rule cong :premises (@p350) :args (@t79))
% 1.52/1.77  (step @p352 :rule nary_cong :premises (@p203 @p351) :args (@t80))
% 1.52/1.77  (step @p353 :rule cong :premises (@p352 @p295) :args (@t81))
% 1.52/1.77  (step @p354 :rule cong :premises (@p205 @p353) :args (@t82))
% 1.52/1.77  (step @p355 :rule cong :premises (@p354) :args (@t83))
% 1.52/1.77  (step @p356 :rule trans :premises (@p355 @p349))
% 1.52/1.77  (step @p357 :rule eq_resolve :premises (@p35 @p356))
% 1.52/1.77  (step @p358 :rule instantiate :premises (@p357) :args (@t211))
% 1.52/1.77  (step @p359 :rule and_elim :premises (@p40) :args (0))
% 1.52/1.77  (step @p360 :rule symm :premises (@p359))
% 1.52/1.77  (step @p361 :rule cnf_or_pos :args (@t279))
% 1.52/1.77  (step @p362 :rule reordering :premises (@p361) :args ((or @t278 @t198 @t174 @t172 @t277 (not @t279))))
% 1.52/1.77  (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p38 @p183 @p219 @p358) :args (@t277 (@list true false false false false) (@list @t278 @t90 @t173 @t171 @t279)))
% 1.52/1.77  (step @p364 :rule true_intro :premises (@p363))
% 1.52/1.77  (step @p365 :rule refl :args (@t164))
% 1.52/1.77  (step @p366 :rule cong :premises (@p365 @p326) :args (@t266))
% 1.52/1.77  (step @p367 :rule trans :premises (@p366 @p364))
% 1.52/1.77  (step @p368 :rule true_elim :premises (@p367))
% 1.52/1.77  (step @p369 :rule cnf_equiv_pos1 :args (@t267))
% 1.52/1.77  (step @p370 :rule reordering :premises (@p369) :args ((or (not @t266) @t265 (not @t267))))
% 1.52/1.77  (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p332) :args (@t265 @t193 (@list @t266 @t267)))
% 1.52/1.77  (step @p372 :rule skolemize :premises (@p371))
% 1.52/1.77  (step @p373 :rule bool-double-not-elim :args (@t282))
% 1.52/1.77  (step @p374 :rule refl :args (@t286))
% 1.52/1.77  (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t286 (not @t283))))
% 1.52/1.77  (step @p376 :rule cnf_or_neg :args (@t286 1))
% 1.52/1.77  (step @p377 :rule eq_resolve :premises (@p376 @p375))
% 1.52/1.77  (step @p378 :rule reordering :premises (@p377) :args ((or @t282 @t286)))
% 1.52/1.77  (step @p379 :rule chain_m_resolution :premises (@p378 @p372) :args (@t282 @t182 @t287))
% 1.52/1.77  (step @p380 :rule aci_norm :args ((= (or @t207 @t14) (or @t140 @t152 @t14))))
% 1.52/1.77  (step @p381 :rule refl :args (@t14))
% 1.52/1.77  (step @p382 :rule nary_cong :premises (@p192 @p381) :args ((or @t208 @t14)))
% 1.52/1.77  (step @p383 :rule trans :premises (@p382 @p380))
% 1.52/1.77  (step @p384 :rule bool-impl-elim :args (@t8 @t14))
% 1.52/1.77  (step @p385 :rule trans :premises (@p384 @p383))
% 1.52/1.77  (step @p386 :rule cong :premises (@p385) :args (@t15))
% 1.52/1.77  (step @p387 :rule eq_resolve :premises (@p6 @p386))
% 1.52/1.77  (step @p388 :rule instantiate :premises (@p387) :args ((@list @t164 @t255)))
% 1.52/1.77  (step @p389 :rule bool-double-not-elim :args (@t259))
% 1.52/1.77  (step @p390 :rule nary_cong :premises (@p318 @p389) :args ((or @t261 (not @t260))))
% 1.52/1.77  (step @p391 :rule cnf_or_neg :args (@t261 0))
% 1.52/1.77  (step @p392 :rule eq_resolve :premises (@p391 @p390))
% 1.52/1.77  (step @p393 :rule reordering :premises (@p392) :args ((or @t259 @t261)))
% 1.52/1.77  (step @p394 :rule chain_m_resolution :premises (@p393 @p316) :args (@t259 @t182 @t262))
% 1.52/1.77  (step @p395 :rule cnf_or_pos :args (@t290))
% 1.52/1.77  (step @p396 :rule reordering :premises (@p395) :args ((or @t174 @t260 @t289 (not @t290))))
% 1.52/1.77  (step @p397 :rule chain_m_resolution :premises (@p396 @p183 @p394 @p388) :args (@t289 @t216 (@list @t173 @t259 @t290)))
% 1.52/1.77  (step @p398 :rule instantiate :premises (@p387) :args ((@list @t164 @t280)))
% 1.52/1.77  (step @p399 :rule bool-double-not-elim :args (@t284))
% 1.52/1.77  (step @p400 :rule nary_cong :premises (@p374 @p399) :args ((or @t286 (not @t285))))
% 1.52/1.77  (step @p401 :rule cnf_or_neg :args (@t286 0))
% 1.52/1.77  (step @p402 :rule eq_resolve :premises (@p401 @p400))
% 1.52/1.77  (step @p403 :rule reordering :premises (@p402) :args ((or @t284 @t286)))
% 1.52/1.77  (step @p404 :rule chain_m_resolution :premises (@p403 @p372) :args (@t284 @t182 @t287))
% 1.52/1.77  (step @p405 :rule cnf_or_pos :args (@t293))
% 1.52/1.77  (step @p406 :rule reordering :premises (@p405) :args ((or @t174 @t285 @t292 (not @t293))))
% 1.52/1.77  (step @p407 :rule chain_m_resolution :premises (@p406 @p183 @p404 @p398) :args (@t292 @t216 (@list @t173 @t284 @t293)))
% 1.52/1.77  (step @p408 :rule aci_norm :args ((= (or (or @t140 @t45 @t64) (or @t315 @t314)) @t316)))
% 1.52/1.77  (step @p409 :rule bool-impl-elim :args (@t110 @t314))
% 1.52/1.77  (step @p410 :rule bool-double-not-elim :args (@t64))
% 1.52/1.77  (step @p411 :rule bool-double-not-elim :args (@t45))
% 1.52/1.77  (step @p412 :rule nary_cong :premises (@p61 @p411 @p410) :args (@t319))
% 1.52/1.77  (step @p413 :rule aci_norm :args ((= (or @t140 (or @t318 @t317)) @t319)))
% 1.52/1.77  (step @p414 :rule trans :premises (@p413 @p412))
% 1.52/1.77  (step @p415 :rule bool-and-de-morgan :args (@t46 @t88 true))
% 1.52/1.77  (step @p416 :rule nary_cong :premises (@p61 @p415) :args ((or @t140 (not (and @t46 @t88)))))
% 1.52/1.77  (step @p417 :rule bool-and-de-morgan :args (@t2 @t46 (and @t88)))
% 1.52/1.77  (step @p418 :rule trans :premises (@p417 @p416))
% 1.52/1.77  (step @p419 :rule trans :premises (@p418 @p414))
% 1.52/1.77  (step @p420 :rule nary_cong :premises (@p419 @p409) :args ((or (not @t112) @t320)))
% 1.52/1.77  (step @p421 :rule trans :premises (@p420 @p408))
% 1.52/1.77  (step @p422 :rule bool-impl-elim :args (@t112 @t320))
% 1.52/1.77  (step @p423 :rule trans :premises (@p422 @p421))
% 1.52/1.77  (step @p424 :rule cong :premises (@p423) :args ((forall @t3 (=> @t112 @t320))))
% 1.52/1.77  (step @p425 :rule aci_norm :args ((= @t322 @t312)))
% 1.52/1.77  (step @p426 :rule cong :premises (@p425) :args (@t323))
% 1.52/1.77  (step @p427 :rule quant-merge-prenex :args ((= (forall @t87 @t325) @t323)))
% 1.52/1.77  (step @p428 :rule refl :args (@t298))
% 1.52/1.77  (step @p429 :rule refl :args (@t309))
% 1.52/1.77  (step @p430 :rule refl :args (@t310))
% 1.52/1.77  (step @p431 :rule refl :args (@t270))
% 1.52/1.77  (step @p432 :rule refl :args (@t311))
% 1.52/1.77  (step @p433 :rule alpha_equiv :args (@t326 (@list @t294) @t327))
% 1.52/1.77  (step @p434 :rule refl :args (@t152))
% 1.52/1.77  (step @p435 :rule nary_cong :premises (@p434 @p433 @p432 @p431 @p430 @p429 @p428) :args (@t328))
% 1.52/1.77  (step @p436 :rule quant-miniscope-or :args ((= @t325 @t328)))
% 1.52/1.77  (step @p437 :rule trans :premises (@p436 @p435))
% 1.52/1.77  (step @p438 :rule symm :premises (@p437))
% 1.52/1.77  (step @p439 :rule cong :premises (@p438) :args ((forall @t87 (or @t152 @t329 @t311 @t270 @t310 @t309 @t298))))
% 1.52/1.77  (step @p440 :rule trans :premises (@p439 @p427))
% 1.52/1.77  (step @p441 :rule trans :premises (@p440 @p426))
% 1.52/1.77  (step @p442 :rule bool-double-not-elim :args (@t310))
% 1.52/1.77  (step @p443 :rule bool-double-not-elim :args (@t329))
% 1.52/1.77  (step @p444 :rule nary_cong :premises (@p434 @p443 @p432 @p336 @p442 @p429 @p428) :args (@t334))
% 1.52/1.77  (step @p445 :rule aci_norm :args ((= (or @t152 (or @t333 (or @t311 (or @t274 (or @t331 (or @t309 @t298)))))) @t334)))
% 1.52/1.77  (step @p446 :rule trans :premises (@p445 @p444))
% 1.52/1.77  (step @p447 :rule bool-and-de-morgan :args (@t308 @t91 true))
% 1.52/1.77  (step @p448 :rule refl :args (@t331))
% 1.52/1.77  (step @p449 :rule nary_cong :premises (@p448 @p447) :args ((or @t331 (not (and @t308 @t91)))))
% 1.52/1.77  (step @p450 :rule bool-and-de-morgan :args (@t330 @t308 (and @t91)))
% 1.52/1.77  (step @p451 :rule trans :premises (@p450 @p449))
% 1.52/1.77  (step @p452 :rule refl :args (@t274))
% 1.52/1.77  (step @p453 :rule nary_cong :premises (@p452 @p451) :args ((or @t274 (not (and @t330 @t308 @t91)))))
% 1.52/1.77  (step @p454 :rule bool-and-de-morgan :args (@t273 @t330 (and @t308 @t91)))
% 1.52/1.77  (step @p455 :rule trans :premises (@p454 @p453))
% 1.52/1.77  (step @p456 :rule nary_cong :premises (@p432 @p455) :args ((or @t311 (not (and @t273 @t330 @t308 @t91)))))
% 1.52/1.77  (step @p457 :rule bool-and-de-morgan :args (@t86 @t273 (and @t330 @t308 @t91)))
% 1.52/1.77  (step @p458 :rule trans :premises (@p457 @p456))
% 1.52/1.77  (step @p459 :rule refl :args (@t333))
% 1.52/1.77  (step @p460 :rule nary_cong :premises (@p459 @p458) :args ((or @t333 (not (and @t86 @t273 @t330 @t308 @t91)))))
% 1.52/1.77  (step @p461 :rule bool-and-de-morgan :args (@t332 @t86 (and @t273 @t330 @t308 @t91)))
% 1.52/1.77  (step @p462 :rule trans :premises (@p461 @p460))
% 1.52/1.77  (step @p463 :rule nary_cong :premises (@p434 @p462) :args ((or @t152 (not (and @t332 @t86 @t273 @t330 @t308 @t91)))))
% 1.52/1.77  (step @p464 :rule bool-and-de-morgan :args (@t7 @t332 (and @t86 @t273 @t330 @t308 @t91)))
% 1.52/1.77  (step @p465 :rule trans :premises (@p464 @p463))
% 1.52/1.77  (step @p466 :rule trans :premises (@p465 @p446))
% 1.52/1.77  (step @p467 :rule cong :premises (@p466) :args (@t336))
% 1.52/1.77  (step @p468 :rule trans :premises (@p467 @p441))
% 1.52/1.77  (step @p469 :rule cong :premises (@p468) :args (@t337))
% 1.52/1.77  (step @p470 :rule exists-elim :args ((= (exists @t87 @t335) @t337)))
% 1.52/1.77  (step @p471 :rule trans :premises (@p470 @p469))
% 1.52/1.77  (step @p472 :rule refl :args (@t91))
% 1.52/1.77  (step @p473 :rule quant-merge-prenex :args ((= (forall @t49 @t339) @t308)))
% 1.52/1.77  (step @p474 :rule refl :args (@t39))
% 1.52/1.77  (step @p475 :rule refl :args (@t299))
% 1.52/1.77  (step @p476 :rule quant-unused-vars :args ((= @t340 @t300)))
% 1.52/1.77  (step @p477 :rule alpha_equiv :args (@t341 (@list @t301) (@list @t94)))
% 1.52/1.77  (step @p478 :rule nary_cong :premises (@p477 @p476) :args (@t342))
% 1.52/1.77  (step @p479 :rule quant-miniscope-and :args ((= @t343 @t342)))
% 1.52/1.77  (step @p480 :rule trans :premises (@p479 @p478))
% 1.52/1.77  (step @p481 :rule refl :args (@t205))
% 1.52/1.77  (step @p482 :rule nary_cong :premises (@p481 @p480 @p475 @p474) :args (@t344))
% 1.52/1.77  (step @p483 :rule quant-miniscope-or :args ((= @t339 @t344)))
% 1.52/1.77  (step @p484 :rule trans :premises (@p483 @p482))
% 1.52/1.77  (step @p485 :rule symm :premises (@p484))
% 1.52/1.77  (step @p486 :rule cong :premises (@p485) :args ((forall @t49 @t347)))
% 1.52/1.77  (step @p487 :rule trans :premises (@p486 @p473))
% 1.52/1.77  (step @p488 :rule aci_norm :args ((= (or (or @t205 @t346) @t348) @t347)))
% 1.52/1.77  (step @p489 :rule refl :args (@t348))
% 1.52/1.77  (step @p490 :rule refl :args (@t300))
% 1.52/1.77  (step @p491 :rule bool-double-not-elim :args (@t345))
% 1.52/1.77  (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((and (not @t349) @t300)))
% 1.52/1.77  (step @p493 :rule bool-or-de-morgan :args (@t349 @t93 false))
% 1.52/1.77  (step @p494 :rule trans :premises (@p493 @p492))
% 1.52/1.77  (step @p495 :rule nary_cong :premises (@p481 @p494) :args ((or @t205 (not @t350))))
% 1.52/1.77  (step @p496 :rule bool-and-de-morgan :args (@t18 @t350 true))
% 1.52/1.77  (step @p497 :rule trans :premises (@p496 @p495))
% 1.52/1.77  (step @p498 :rule nary_cong :premises (@p497 @p489) :args ((or (not @t351) @t348)))
% 1.52/1.77  (step @p499 :rule trans :premises (@p498 @p488))
% 1.52/1.77  (step @p500 :rule bool-impl-elim :args (@t351 @t348))
% 1.52/1.77  (step @p501 :rule trans :premises (@p500 @p499))
% 1.52/1.77  (step @p502 :rule cong :premises (@p501) :args ((forall @t49 (=> @t351 @t348))))
% 1.52/1.77  (step @p503 :rule trans :premises (@p502 @p487))
% 1.52/1.77  (step @p504 :rule eq-symm :args (@t16 @t5))
% 1.52/1.77  (step @p505 :rule eq-symm :args (@t16 tptp.sz10))
% 1.52/1.77  (step @p506 :rule nary_cong :premises (@p505 @p504) :args (@t92))
% 1.52/1.77  (step @p507 :rule refl :args (@t93))
% 1.52/1.77  (step @p508 :rule bool-and-de-morgan :args (@t96 @t95 true))
% 1.52/1.77  (step @p509 :rule cong :premises (@p508) :args (@t352))
% 1.52/1.77  (step @p510 :rule cong :premises (@p509) :args (@t353))
% 1.52/1.77  (step @p511 :rule exists-elim :args ((= @t99 @t353)))
% 1.52/1.77  (step @p512 :rule trans :premises (@p511 @p510))
% 1.52/1.77  (step @p513 :rule nary_cong :premises (@p512 @p507) :args (@t100))
% 1.52/1.77  (step @p514 :rule nary_cong :premises (@p291 @p513) :args (@t101))
% 1.52/1.77  (step @p515 :rule cong :premises (@p514 @p506) :args (@t102))
% 1.52/1.77  (step @p516 :rule cong :premises (@p515) :args (@t103))
% 1.52/1.77  (step @p517 :rule trans :premises (@p516 @p503))
% 1.52/1.77  (step @p518 :rule eq-symm :args (@t5 tptp.sz10))
% 1.52/1.77  (step @p519 :rule cong :premises (@p518) :args (@t104))
% 1.52/1.77  (step @p520 :rule refl :args (@t86))
% 1.52/1.77  (step @p521 :rule bool-and-de-morgan :args (@t18 @t105 true))
% 1.52/1.77  (step @p522 :rule cong :premises (@p521) :args (@t354))
% 1.52/1.77  (step @p523 :rule cong :premises (@p522) :args (@t355))
% 1.52/1.77  (step @p524 :rule exists-elim :args ((= @t107 @t355)))
% 1.52/1.77  (step @p525 :rule trans :premises (@p524 @p523))
% 1.52/1.77  (step @p526 :rule nary_cong :premises (@p94 @p525 @p520 @p351 @p519 @p517 @p472) :args (@t108))
% 1.52/1.77  (step @p527 :rule cong :premises (@p526) :args (@t109))
% 1.52/1.77  (step @p528 :rule trans :premises (@p527 @p471))
% 1.52/1.77  (step @p529 :rule refl :args (@t110))
% 1.52/1.77  (step @p530 :rule cong :premises (@p529 @p528) :args (@t111))
% 1.52/1.77  (step @p531 :rule refl :args (@t112))
% 1.52/1.77  (step @p532 :rule cong :premises (@p531 @p530) :args (@t113))
% 1.52/1.77  (step @p533 :rule cong :premises (@p532) :args (@t114))
% 1.52/1.77  (step @p534 :rule trans :premises (@p533 @p424))
% 1.52/1.77  (step @p535 :rule eq_resolve :premises (@p39 @p534))
% 1.52/1.77  (step @p536 :rule eq-symm :args (@t164 @t295))
% 1.52/1.77  (step @p537 :rule cong :premises (@p536) :args (@t356))
% 1.52/1.77  (step @p538 :rule refl :args (@t297))
% 1.52/1.77  (step @p539 :rule refl :args (@t298))
% 1.52/1.77  (step @p540 :rule refl :args (@t309))
% 1.52/1.77  (step @p541 :rule refl :args (@t310))
% 1.52/1.77  (step @p542 :rule refl :args (@t270))
% 1.52/1.77  (step @p543 :rule refl :args (@t357))
% 1.52/1.77  (step @p544 :rule refl :args (@t152))
% 1.52/1.77  (step @p545 :rule nary_cong :premises (@p544 @p543 @p542 @p541 @p540 @p539 @p538 @p537) :args (@t358))
% 1.52/1.77  (step @p546 :rule cong :premises (@p545) :args (@t359))
% 1.52/1.77  (step @p547 :rule cong :premises (@p546) :args (@t360))
% 1.52/1.77  (step @p548 :rule refl :args (@t362))
% 1.52/1.77  (step @p549 :rule eq-symm :args (@t164 tptp.sz00))
% 1.52/1.77  (step @p550 :rule nary_cong :premises (@p115 @p549 @p113 @p548 @p547) :args (@t363))
% 1.52/1.77  (step @p551 :rule refl :args (@t364))
% 1.52/1.77  (step @p552 :rule cong :premises (@p551 @p550) :args ((=> @t364 @t363)))
% 1.52/1.77  (assume-push @p993 @t364)
% 1.52/1.77  (step @p554 :rule instantiate :premises (@p535) :args (@t200))
% 1.52/1.77  (step-pop @p994 :rule scope :premises (@p554))
% 1.52/1.77  (step @p555 :rule process_scope :premises (@p994) :args (@t363))
% 1.52/1.77  (step @p557 :rule eq_resolve :premises (@p555 @p552))
% 1.52/1.77  (step @p558 :rule implies_elim :premises (@p557))
% 1.52/1.77  (step @p559 :rule chain_m_resolution :premises (@p558 @p535) :args (@t368 @t192 (@list @t364)))
% 1.52/1.77  (step @p560 :rule bool-double-not-elim :args (@t372))
% 1.52/1.77  (step @p561 :rule refl :args (@t384))
% 1.52/1.77  (step @p562 :rule nary_cong :premises (@p561 @p560) :args ((or @t384 (not @t373))))
% 1.52/1.77  (step @p563 :rule cnf_or_neg :args (@t384 7))
% 1.52/1.77  (step @p564 :rule eq_resolve :premises (@p563 @p562))
% 1.52/1.77  (step @p565 :rule reordering :premises (@p564) :args ((or @t372 @t384)))
% 1.52/1.77  (step @p566 :rule bool-double-not-elim :args (@t382))
% 1.52/1.77  (step @p567 :rule nary_cong :premises (@p561 @p566) :args ((or @t384 (not @t383))))
% 1.52/1.77  (step @p568 :rule cnf_or_neg :args (@t384 0))
% 1.52/1.77  (step @p569 :rule eq_resolve :premises (@p568 @p567))
% 1.52/1.77  (step @p570 :rule reordering :premises (@p569) :args ((or @t382 @t384)))
% 1.52/1.77  (step @p571 :rule bool-double-not-elim :args (@t376))
% 1.52/1.77  (step @p572 :rule nary_cong :premises (@p561 @p571) :args ((or @t384 (not @t377))))
% 1.52/1.77  (step @p573 :rule cnf_or_neg :args (@t384 5))
% 1.52/1.77  (step @p574 :rule eq_resolve :premises (@p573 @p572))
% 1.52/1.77  (step @p575 :rule reordering :premises (@p574) :args ((or @t376 @t384)))
% 1.52/1.77  (step @p576 :rule bool-double-not-elim :args (@t374))
% 1.52/1.77  (step @p577 :rule nary_cong :premises (@p561 @p576) :args ((or @t384 (not @t375))))
% 1.52/1.77  (step @p578 :rule cnf_or_neg :args (@t384 6))
% 1.52/1.77  (step @p579 :rule eq_resolve :premises (@p578 @p577))
% 1.52/1.77  (step @p580 :rule reordering :premises (@p579) :args ((or @t374 @t384)))
% 1.52/1.77  (step @p581 :rule cnf_and_pos :args (@t390 1))
% 1.52/1.77  (step @p582 :rule reordering :premises (@p581) :args ((or @t377 (not @t390))))
% 1.52/1.77  (step @p583 :rule aci_norm :args ((= (or @t391 @t30) (or @t140 @t152 @t205 @t30))))
% 1.52/1.77  (step @p584 :rule refl :args (@t30))
% 1.52/1.77  (step @p585 :rule aci_norm :args ((= (or @t140 (or @t152 @t205)) @t391)))
% 1.52/1.77  (step @p586 :rule bool-and-de-morgan :args (@t7 @t18 true))
% 1.52/1.77  (step @p587 :rule nary_cong :premises (@p61 @p586) :args ((or @t140 (not @t44))))
% 1.52/1.77  (step @p588 :rule bool-and-de-morgan :args (@t2 @t7 (and @t18)))
% 1.52/1.77  (step @p589 :rule trans :premises (@p588 @p587))
% 1.52/1.77  (step @p590 :rule trans :premises (@p589 @p585))
% 1.52/1.77  (step @p591 :rule nary_cong :premises (@p590 @p584) :args ((or (not @t19) @t30)))
% 1.52/1.77  (step @p592 :rule trans :premises (@p591 @p583))
% 1.52/1.77  (step @p593 :rule bool-impl-elim :args (@t19 @t30))
% 1.52/1.77  (step @p594 :rule trans :premises (@p593 @p592))
% 1.52/1.77  (step @p595 :rule cong :premises (@p594) :args (@t31))
% 1.52/1.77  (step @p596 :rule eq_resolve :premises (@p10 @p595))
% 1.52/1.77  (step @p597 :rule instantiate :premises (@p596) :args ((@list @t370 @t369 @t217)))
% 1.52/1.77  (step @p598 :rule cnf_or_pos :args (@t395))
% 1.52/1.77  (step @p599 :rule reordering :premises (@p598) :args ((or @t222 @t383 @t375 @t394 (not @t395))))
% 1.52/1.77  (step @p600 :rule aci_norm :args ((= (or @t207 @t11) (or @t140 @t152 @t11))))
% 1.52/1.77  (step @p601 :rule refl :args (@t11))
% 1.52/1.78  (step @p602 :rule nary_cong :premises (@p192 @p601) :args ((or @t208 @t11)))
% 1.52/1.78  (step @p603 :rule trans :premises (@p602 @p600))
% 1.52/1.78  (step @p604 :rule bool-impl-elim :args (@t8 @t11))
% 1.52/1.78  (step @p605 :rule trans :premises (@p604 @p603))
% 1.52/1.78  (step @p606 :rule cong :premises (@p605) :args (@t12))
% 1.52/1.78  (step @p607 :rule eq_resolve :premises (@p5 @p606))
% 1.52/1.78  (step @p608 :rule instantiate :premises (@p607) :args ((@list @t369 @t217)))
% 1.52/1.78  (step @p609 :rule cnf_or_pos :args (@t397))
% 1.52/1.78  (step @p610 :rule reordering :premises (@p609) :args ((or @t222 @t375 @t396 (not @t397))))
% 1.52/1.78  (step @p611 :rule bool-double-not-elim :args (@t408))
% 1.52/1.78  (step @p612 :rule refl :args (@t403))
% 1.52/1.78  (step @p613 :rule eq-symm :args (@t405 tptp.xk))
% 1.52/1.78  (step @p614 :rule cong :premises (@p613) :args (@t409))
% 1.52/1.78  (step @p615 :rule refl :args (@t406))
% 1.52/1.78  (step @p616 :rule nary_cong :premises (@p615 @p614) :args (@t410))
% 1.52/1.78  (step @p617 :rule nary_cong :premises (@p616 @p50) :args (@t411))
% 1.52/1.78  (step @p618 :rule nary_cong :premises (@p51 @p617 @p612) :args (@t412))
% 1.52/1.78  (step @p619 :rule cong :premises (@p618) :args (@t413))
% 1.52/1.78  (step @p620 :rule quant-merge-prenex :args ((= (forall @t3 @t415) @t413)))
% 1.52/1.78  (step @p621 :rule refl :args (@t403))
% 1.52/1.78  (step @p622 :rule quant-unused-vars :args ((= @t416 @t139)))
% 1.52/1.78  (step @p623 :rule alpha_equiv :args (@t417 (@list @t404) @t149))
% 1.52/1.78  (step @p624 :rule nary_cong :premises (@p623 @p622) :args (@t418))
% 1.52/1.78  (step @p625 :rule quant-miniscope-and :args ((= @t419 @t418)))
% 1.52/1.78  (step @p626 :rule trans :premises (@p625 @p624))
% 1.52/1.78  (step @p627 :rule nary_cong :premises (@p61 @p626 @p621) :args (@t420))
% 1.52/1.78  (step @p628 :rule quant-miniscope-or :args ((= @t415 @t420)))
% 1.52/1.78  (step @p629 :rule trans :premises (@p628 @p627))
% 1.52/1.78  (step @p630 :rule symm :premises (@p629))
% 1.52/1.78  (step @p631 :rule cong :premises (@p630) :args ((forall @t3 (or @t140 (and @t153 @t139) @t403))))
% 1.52/1.78  (step @p632 :rule trans :premises (@p631 @p620))
% 1.52/1.78  (step @p633 :rule trans :premises (@p632 @p619))
% 1.52/1.78  (step @p634 :rule refl :args (@t398))
% 1.52/1.78  (step @p635 :rule refl :args (@t402))
% 1.52/1.78  (step @p636 :rule nary_cong :premises (@p411 @p410 @p635) :args (@t421))
% 1.52/1.78  (step @p637 :rule aci_norm :args ((= (or @t318 (or @t317 @t402)) @t421)))
% 1.52/1.78  (step @p638 :rule trans :premises (@p637 @p636))
% 1.52/1.78  (step @p639 :rule bool-and-de-morgan :args (@t88 @t401 true))
% 1.52/1.78  (step @p640 :rule refl :args (@t318))
% 1.52/1.78  (step @p641 :rule nary_cong :premises (@p640 @p639) :args ((or @t318 (not (and @t88 @t401)))))
% 1.52/1.78  (step @p642 :rule bool-and-de-morgan :args (@t46 @t88 (and @t401)))
% 1.52/1.78  (step @p643 :rule trans :premises (@p642 @p641))
% 1.52/1.78  (step @p644 :rule trans :premises (@p643 @p638))
% 1.52/1.78  (step @p645 :rule nary_cong :premises (@p644 @p634) :args ((and (not @t422) @t398)))
% 1.52/1.78  (step @p646 :rule bool-or-de-morgan :args (@t422 @t89 false))
% 1.52/1.78  (step @p647 :rule trans :premises (@p646 @p645))
% 1.52/1.78  (step @p648 :rule nary_cong :premises (@p71 @p59) :args ((and @t156 @t139)))
% 1.52/1.78  (step @p649 :rule bool-or-de-morgan :args (@t155 @t118 false))
% 1.52/1.78  (step @p650 :rule trans :premises (@p649 @p648))
% 1.52/1.78  (step @p651 :rule nary_cong :premises (@p61 @p650 @p647) :args (@t427))
% 1.52/1.78  (step @p652 :rule aci_norm :args ((= (or @t140 (or @t426 @t424)) @t427)))
% 1.52/1.78  (step @p653 :rule bool-and-de-morgan :args (@t425 @t423 true))
% 1.52/1.78  (step @p654 :rule nary_cong :premises (@p61 @p653) :args ((or @t140 (not (and @t425 @t423)))))
% 1.52/1.78  (step @p655 :rule bool-and-de-morgan :args (@t2 @t425 (and @t423)))
% 1.52/1.78  (step @p656 :rule trans :premises (@p655 @p654))
% 1.52/1.78  (step @p657 :rule trans :premises (@p656 @p652))
% 1.52/1.78  (step @p658 :rule trans :premises (@p657 @p651))
% 1.52/1.78  (step @p659 :rule cong :premises (@p658) :args (@t429))
% 1.52/1.78  (step @p660 :rule trans :premises (@p659 @p633))
% 1.52/1.78  (step @p661 :rule cong :premises (@p660) :args (@t430))
% 1.52/1.78  (step @p662 :rule exists-elim :args ((= (exists @t3 @t428) @t430)))
% 1.52/1.78  (step @p663 :rule trans :premises (@p662 @p661))
% 1.52/1.78  (step @p664 :rule refl :args (@t89))
% 1.52/1.78  (step @p665 :rule aci_norm :args ((= @t432 @t400)))
% 1.52/1.78  (step @p666 :rule cong :premises (@p665) :args (@t433))
% 1.52/1.78  (step @p667 :rule quant-merge-prenex :args ((= (forall @t87 @t435) @t433)))
% 1.52/1.78  (step @p668 :rule refl :args (@t57))
% 1.52/1.78  (step @p669 :rule alpha_equiv :args (@t436 (@list @t385) @t327))
% 1.52/1.78  (step @p670 :rule nary_cong :premises (@p434 @p669 @p432 @p430 @p668) :args (@t437))
% 1.52/1.78  (step @p671 :rule quant-miniscope-or :args ((= @t435 @t437)))
% 1.52/1.78  (step @p672 :rule trans :premises (@p671 @p670))
% 1.52/1.78  (step @p673 :rule symm :premises (@p672))
% 1.52/1.78  (step @p674 :rule cong :premises (@p673) :args ((forall @t87 @t438)))
% 1.52/1.78  (step @p675 :rule trans :premises (@p674 @p667))
% 1.52/1.78  (step @p676 :rule trans :premises (@p675 @p666))
% 1.52/1.78  (step @p677 :rule aci_norm :args ((= (or (or @t152 @t329 @t311) @t439) @t438)))
% 1.52/1.78  (step @p678 :rule refl :args (@t439))
% 1.52/1.78  (step @p679 :rule nary_cong :premises (@p434 @p443 @p432) :args (@t440))
% 1.52/1.78  (step @p680 :rule aci_norm :args ((= (or @t152 (or @t333 @t311)) @t440)))
% 1.52/1.78  (step @p681 :rule trans :premises (@p680 @p679))
% 1.52/1.78  (step @p682 :rule bool-and-de-morgan :args (@t332 @t86 true))
% 1.52/1.78  (step @p683 :rule nary_cong :premises (@p434 @p682) :args ((or @t152 (not (and @t332 @t86)))))
% 1.52/1.78  (step @p684 :rule bool-and-de-morgan :args (@t7 @t332 (and @t86)))
% 1.52/1.78  (step @p685 :rule trans :premises (@p684 @p683))
% 1.52/1.78  (step @p686 :rule trans :premises (@p685 @p681))
% 1.52/1.78  (step @p687 :rule nary_cong :premises (@p686 @p678) :args ((or (not @t441) @t439)))
% 1.52/1.78  (step @p688 :rule trans :premises (@p687 @p677))
% 1.52/1.78  (step @p689 :rule bool-impl-elim :args (@t441 @t439))
% 1.52/1.78  (step @p690 :rule trans :premises (@p689 @p688))
% 1.52/1.78  (step @p691 :rule cong :premises (@p690) :args ((forall @t87 (=> @t441 @t439))))
% 1.52/1.78  (step @p692 :rule trans :premises (@p691 @p676))
% 1.52/1.78  (step @p693 :rule eq-symm :args (@t5 @t1))
% 1.52/1.78  (step @p694 :rule nary_cong :premises (@p518 @p693) :args (@t85))
% 1.52/1.78  (step @p695 :rule nary_cong :premises (@p94 @p525 @p520) :args (@t126))
% 1.52/1.78  (step @p696 :rule cong :premises (@p695 @p694) :args (@t127))
% 1.52/1.78  (step @p697 :rule cong :premises (@p696) :args (@t128))
% 1.52/1.78  (step @p698 :rule trans :premises (@p697 @p692))
% 1.52/1.78  (step @p699 :rule refl :args (@t88))
% 1.52/1.78  (step @p700 :rule refl :args (@t46))
% 1.52/1.78  (step @p701 :rule nary_cong :premises (@p700 @p699 @p698) :args (@t129))
% 1.52/1.78  (step @p702 :rule nary_cong :premises (@p701 @p664) :args (@t130))
% 1.52/1.78  (step @p703 :rule nary_cong :premises (@p97 @p87) :args (@t131))
% 1.52/1.78  (step @p704 :rule nary_cong :premises (@p98 @p703 @p702) :args (@t132))
% 1.52/1.78  (step @p705 :rule cong :premises (@p704) :args (@t133))
% 1.52/1.78  (step @p706 :rule trans :premises (@p705 @p663))
% 1.52/1.78  (step @p707 :rule cong :premises (@p706) :args (@t134))
% 1.52/1.78  (step @p708 :rule trans :premises (@p707 @p611))
% 1.52/1.78  (step @p709 :rule eq_resolve :premises (@p42 @p708))
% 1.52/1.78  (step @p710 :rule refl :args (@t377))
% 1.52/1.78  (step @p711 :rule eq-symm :args (@t370 @t386))
% 1.52/1.78  (step @p712 :rule cong :premises (@p711) :args (@t442))
% 1.52/1.78  (step @p713 :rule refl :args (@t387))
% 1.52/1.78  (step @p714 :rule eq-symm :args (@t370 @t5))
% 1.52/1.78  (step @p715 :rule refl :args (@t388))
% 1.52/1.78  (step @p716 :rule nary_cong :premises (@p544 @p715 @p541 @p714 @p713 @p712) :args (@t443))
% 1.52/1.78  (step @p717 :rule cong :premises (@p716) :args (@t444))
% 1.52/1.78  (step @p718 :rule cong :premises (@p717) :args (@t445))
% 1.52/1.78  (step @p719 :rule eq-symm :args (@t370 tptp.sz10))
% 1.52/1.78  (step @p720 :rule eq-symm :args (@t370 tptp.sz00))
% 1.52/1.78  (step @p721 :rule nary_cong :premises (@p720 @p719 @p718) :args (@t446))
% 1.52/1.78  (step @p722 :rule nary_cong :premises (@p721 @p710) :args (@t447))
% 1.52/1.78  (step @p723 :rule refl :args (@t452))
% 1.52/1.78  (step @p724 :rule refl :args (@t383))
% 1.52/1.78  (step @p725 :rule nary_cong :premises (@p724 @p723 @p722) :args (@t453))
% 1.52/1.78  (step @p726 :rule refl :args (@t408))
% 1.52/1.78  (step @p727 :rule cong :premises (@p726 @p725) :args ((=> @t408 @t453)))
% 1.52/1.78  (assume-push @p995 @t408)
% 1.52/1.78  (step @p729 :rule instantiate :premises (@p709) :args ((@list @t370 @t392)))
% 1.52/1.78  (step-pop @p996 :rule scope :premises (@p729))
% 1.52/1.78  (step @p730 :rule process_scope :premises (@p996) :args (@t453))
% 1.52/1.78  (step @p732 :rule eq_resolve :premises (@p730 @p727))
% 1.52/1.78  (step @p733 :rule implies_elim :premises (@p732))
% 1.52/1.78  (step @p734 :rule chain_m_resolution :premises (@p733 @p709) :args (@t454 @t192 (@list @t408)))
% 1.52/1.78  (step @p735 :rule cnf_or_pos :args (@t454))
% 1.52/1.78  (step @p736 :rule reordering :premises (@p735) :args ((or @t383 @t390 @t452 (not @t454))))
% 1.52/1.78  (step @p737 :rule cnf_and_pos :args (@t452 0))
% 1.52/1.78  (step @p738 :rule reordering :premises (@p737) :args ((or @t451 (not @t452))))
% 1.52/1.78  (step @p739 :rule cnf_or_pos :args (@t451))
% 1.52/1.78  (step @p740 :rule reordering :premises (@p739) :args ((or @t450 @t449 (not @t451))))
% 1.52/1.78  (assume-push @p997 @t219)
% 1.52/1.78  (assume-push @p998 @t372)
% 1.52/1.78  (assume-push @p999 @t394)
% 1.52/1.78  (assume-push @p1000 @t394)
% 1.52/1.78  (assume-push @p1001 @t372)
% 1.52/1.78  (assume-push @p1002 @t219)
% 1.52/1.78  (step @p747 :rule refl :args (@t217))
% 1.52/1.78  (step @p748 :rule cong :premises (@p998 @p747) :args (@t218))
% 1.52/1.78  (step @p749 :rule trans :premises (@p230 @p748 @p999))
% 1.52/1.78  (step-pop @p1003 :rule scope :premises (@p749))
% 1.52/1.78  (step-pop @p1004 :rule scope :premises (@p1003))
% 1.52/1.78  (step-pop @p1005 :rule scope :premises (@p1004))
% 1.52/1.78  (step @p750 :rule process_scope :premises (@p1005) :args (@t448))
% 1.52/1.78  (step @p754 :rule and_intro :premises (@p999 @p998 @p230))
% 1.52/1.78  (step @p755 :rule modus_ponens :premises (@p754 @p750))
% 1.52/1.78  (step-pop @p1006 :rule scope :premises (@p755))
% 1.52/1.78  (step-pop @p1007 :rule scope :premises (@p1006))
% 1.52/1.78  (step-pop @p1008 :rule scope :premises (@p1007))
% 1.52/1.78  (step @p756 :rule process_scope :premises (@p1008) :args (@t448))
% 1.52/1.78  (step @p760 :rule implies_elim :premises (@p756))
% 1.52/1.78  (step @p761 :rule cnf_and_neg :args (@t455))
% 1.52/1.78  (step @p762 :rule resolution :premises (@p761 @p760) :args (true @t455))
% 1.52/1.78  (step @p763 :rule chain_m_resolution :premises (@p762 @p230 @p740 @p738 @p736 @p734 @p610 @p608 @p260 @p599 @p597 @p260 @p582 @p580 @p575 @p570) :args ((or @t373 @t384) (@list false true false false false false false false false false false true false false false) (@list @t219 @t448 @t451 @t452 @t454 @t396 @t397 @t221 @t394 @t395 @t221 @t390 @t374 @t376 @t382)))
% 1.52/1.78  (step @p764 :rule chain_m_resolution :premises (@p763 @p565) :args (@t384 @t192 (@list @t372)))
% 1.52/1.78  (step @p765 :rule refl :args (@t456))
% 1.52/1.78  (step @p766 :rule bool-double-not-elim :args (@t365))
% 1.52/1.78  (step @p767 :rule nary_cong :premises (@p766 @p765) :args ((or (not @t366) @t456)))
% 1.52/1.78  (step @p768 :rule eq-symm :args (@t371 @t164))
% 1.52/1.78  (step @p769 :rule cong :premises (@p768) :args (@t457))
% 1.52/1.78  (step @p770 :rule refl :args (@t375))
% 1.52/1.78  (step @p771 :rule eq-symm :args (@t370 @t16))
% 1.52/1.78  (step @p772 :rule refl :args (@t299))
% 1.52/1.78  (step @p773 :rule refl :args (@t378))
% 1.52/1.78  (step @p774 :rule eq-symm :args (@t370 @t302))
% 1.52/1.78  (step @p775 :rule cong :premises (@p774) :args (@t458))
% 1.52/1.78  (step @p776 :rule refl :args (@t303))
% 1.52/1.78  (step @p777 :rule nary_cong :premises (@p776 @p775) :args (@t459))
% 1.52/1.78  (step @p778 :rule nary_cong :premises (@p777 @p773) :args (@t460))
% 1.52/1.78  (step @p779 :rule refl :args (@t205))
% 1.52/1.78  (step @p780 :rule nary_cong :premises (@p779 @p778 @p772 @p771) :args (@t461))
% 1.52/1.78  (step @p781 :rule cong :premises (@p780) :args (@t462))
% 1.52/1.78  (step @p782 :rule cong :premises (@p781) :args (@t463))
% 1.52/1.78  (step @p783 :rule refl :args (@t379))
% 1.52/1.78  (step @p784 :rule refl :args (@t380))
% 1.52/1.78  (step @p785 :rule refl :args (@t381))
% 1.52/1.78  (step @p786 :rule nary_cong :premises (@p724 @p785 @p784 @p783 @p782 @p710 @p770 @p769) :args (@t464))
% 1.52/1.78  (step @p787 :rule cong :premises (@p786) :args (@t465))
% 1.52/1.78  (step @p788 :rule refl :args (@t366))
% 1.52/1.78  (step @p789 :rule cong :premises (@p788 @p787) :args ((=> @t366 @t465)))
% 1.52/1.78  (assume-push @p1009 @t366)
% 1.52/1.78  (step @p791 :rule skolemize :premises (@p1009))
% 1.52/1.78  (step-pop @p1010 :rule scope :premises (@p791))
% 1.52/1.78  (step @p792 :rule process_scope :premises (@p1010) :args (@t465))
% 1.52/1.78  (step @p794 :rule eq_resolve :premises (@p792 @p789))
% 1.52/1.78  (step @p795 :rule implies_elim :premises (@p794))
% 1.52/1.78  (step @p796 :rule eq_resolve :premises (@p795 @p767))
% 1.52/1.78  (step @p797 :rule chain_m_resolution :premises (@p796 @p764) :args (@t365 @t192 (@list @t384)))
% 1.52/1.78  (step @p798 :rule aci_norm :args ((= (or @t207 @t468) @t467)))
% 1.52/1.78  (step @p799 :rule aci_norm :args ((= (or (or @t57 @t466) @t65) @t468)))
% 1.52/1.78  (step @p800 :rule refl :args (@t65))
% 1.52/1.78  (step @p801 :rule refl :args (@t466))
% 1.52/1.78  (step @p802 :rule bool-double-not-elim :args (@t57))
% 1.52/1.78  (step @p803 :rule nary_cong :premises (@p802 @p801) :args ((or (not @t62) @t466)))
% 1.52/1.78  (step @p804 :rule bool-and-de-morgan :args (@t62 @t51 true))
% 1.52/1.78  (step @p805 :rule trans :premises (@p804 @p803))
% 1.52/1.78  (step @p806 :rule nary_cong :premises (@p805 @p800) :args ((or (not @t63) @t65)))
% 1.52/1.78  (step @p807 :rule trans :premises (@p806 @p799))
% 1.52/1.78  (step @p808 :rule bool-impl-elim :args (@t63 @t65))
% 1.52/1.78  (step @p809 :rule trans :premises (@p808 @p807))
% 1.52/1.78  (step @p810 :rule nary_cong :premises (@p192 @p809) :args ((or @t208 @t66)))
% 1.52/1.78  (step @p811 :rule trans :premises (@p810 @p798))
% 1.52/1.78  (step @p812 :rule bool-impl-elim :args (@t8 @t66))
% 1.52/1.78  (step @p813 :rule trans :premises (@p812 @p811))
% 1.52/1.78  (step @p814 :rule cong :premises (@p813) :args (@t67))
% 1.52/1.78  (step @p815 :rule eq_resolve :premises (@p29 @p814))
% 1.52/1.78  (step @p816 :rule refl :args (@t361))
% 1.52/1.78  (step @p817 :rule refl :args (@t469))
% 1.52/1.78  (step @p818 :rule nary_cong :premises (@p115 @p240 @p112 @p817 @p816) :args (@t470))
% 1.52/1.78  (step @p819 :rule refl :args (@t471))
% 1.52/1.78  (step @p820 :rule cong :premises (@p819 @p818) :args ((=> @t471 @t470)))
% 1.52/1.78  (assume-push @p1011 @t471)
% 1.52/1.78  (step @p822 :rule instantiate :premises (@p815) :args (@t211))
% 1.52/1.78  (step-pop @p1012 :rule scope :premises (@p822))
% 1.52/1.78  (step @p823 :rule process_scope :premises (@p1012) :args (@t470))
% 1.52/1.78  (step @p825 :rule eq_resolve :premises (@p823 @p820))
% 1.52/1.78  (step @p826 :rule implies_elim :premises (@p825))
% 1.52/1.78  (step @p827 :rule chain_m_resolution :premises (@p826 @p815) :args (@t472 @t192 (@list @t471)))
% 1.52/1.78  (step @p828 :rule cnf_or_pos :args (@t472))
% 1.52/1.78  (step @p829 :rule reordering :premises (@p828) :args ((or @t198 @t174 @t169 @t361 @t469 (not @t472))))
% 1.52/1.78  (step @p830 :rule chain_m_resolution :premises (@p829 @p38 @p183 @p129 @p363 @p827) :args (@t361 (@list false false true false false) (@list @t90 @t173 @t169 @t277 @t472)))
% 1.52/1.78  (step @p831 :rule cnf_or_neg :args (@t175 2))
% 1.52/1.78  (step @p832 :rule chain_m_resolution :premises (@p831 @p127) :args ((not @t170) @t182 @t184))
% 1.52/1.78  (step @p833 :rule cnf_or_pos :args (@t368))
% 1.52/1.78  (step @p834 :rule reordering :premises (@p833) :args ((or @t174 @t170 @t367 @t362 @t366 (not @t368))))
% 1.52/1.78  (step @p835 :rule chain_m_resolution :premises (@p834 @p183 @p832 @p830 @p797 @p559) :args (@t367 (@list false true false false false) (@list @t173 @t170 @t361 @t365 @t368)))
% 1.52/1.78  (step @p836 :rule refl :args (@t473))
% 1.52/1.78  (step @p837 :rule refl :args (@t474))
% 1.52/1.78  (step @p838 :rule refl :args (@t283))
% 1.52/1.78  (step @p839 :rule refl :args (@t258))
% 1.52/1.78  (step @p840 :rule refl :args (@t475))
% 1.52/1.78  (step @p841 :rule refl :args (@t476))
% 1.52/1.78  (step @p842 :rule refl :args (@t477))
% 1.52/1.78  (step @p843 :rule refl :args (@t478))
% 1.52/1.78  (step @p844 :rule refl :args (@t220))
% 1.52/1.78  (step @p845 :rule refl :args (@t479))
% 1.52/1.78  (step @p846 :rule refl :args (@t480))
% 1.52/1.78  (step @p847 :rule refl :args (@t481))
% 1.52/1.78  (step @p848 :rule refl :args (@t482))
% 1.52/1.78  (step @p849 :rule bool-double-not-elim :args (@t169))
% 1.52/1.78  (step @p850 :rule nary_cong :premises (@p110 @p849 @p848 @p847 @p846 @p845 @p844 @p843 @p842 @p841 @p840 @p839 @p838 @p837 @p836) :args ((or @t167 (not @t183) @t482 @t481 @t480 @t479 @t220 @t478 @t477 @t476 @t475 @t258 @t283 @t474 @t473)))
% 1.52/1.78  (assume-push @p1013 @t282)
% 1.52/1.78  (assume-push @p1014 @t186)
% 1.52/1.78  (assume-push @p1015 @t483)
% 1.52/1.78  (assume-push @p1016 @t230)
% 1.52/1.78  (assume-push @p1017 @t166)
% 1.52/1.78  (assume-push @p1018 @t257)
% 1.52/1.78  (assume-push @p1019 @t367)
% 1.52/1.78  (assume-push @p1020 @t202)
% 1.52/1.78  (assume-push @p1021 @t292)
% 1.52/1.78  (assume-push @p1022 @t196)
% 1.52/1.78  (assume-push @p1023 @t484)
% 1.52/1.78  (assume-push @p1024 @t289)
% 1.52/1.78  (assume-push @p1025 @t183)
% 1.52/1.78  (step @p864 :rule evaluate :args ((= false true)))
% 1.52/1.78  (step @p865 :rule symm :premises (@p1019))
% 1.52/1.78  (step @p866 :rule trans :premises (@p865 @p176))
% 1.52/1.78  (step @p867 :rule symm :premises (@p866))
% 1.52/1.78  (step @p868 :rule symm :premises (@p253))
% 1.52/1.78  (step @p869 :rule symm :premises (@p176))
% 1.52/1.78  (step @p870 :rule trans :premises (@p869 @p189 @p1015 @p868))
% 1.52/1.78  (step @p871 :rule symm :premises (@p870))
% 1.52/1.78  (step @p872 :rule symm :premises (@p189))
% 1.52/1.78  (step @p873 :rule symm :premises (@p1015))
% 1.52/1.78  (step @p874 :rule trans :premises (@p873 @p872 @p160))
% 1.52/1.78  (step @p875 :rule symm :premises (@p874))
% 1.52/1.78  (step @p876 :rule symm :premises (@p323))
% 1.52/1.78  (step @p877 :rule symm :premises (@p397))
% 1.52/1.78  (step @p878 :rule symm :premises (@p1023))
% 1.52/1.78  (step @p879 :rule trans :premises (@p136 @p379 @p407 @p878 @p877 @p876 @p865))
% 1.52/1.78  (step @p880 :rule trans :premises (@p879 @p160 @p875 @p868 @p871 @p867))
% 1.52/1.78  (step @p881 :rule true_intro :premises (@p880))
% 1.52/1.78  (step @p882 :rule false_intro :premises (@p129))
% 1.52/1.78  (step @p883 :rule symm :premises (@p882))
% 1.52/1.78  (step @p884 :rule trans :premises (@p883 @p881))
% 1.52/1.78  (step @p885 false :rule eq_resolve :premises (@p884 @p864))
% 1.52/1.78  (step-pop @p1026 :rule scope :premises (@p885))
% 1.52/1.78  (step-pop @p1027 :rule scope :premises (@p1026))
% 1.52/1.78  (step-pop @p1028 :rule scope :premises (@p1027))
% 1.52/1.78  (step-pop @p1029 :rule scope :premises (@p1028))
% 1.52/1.78  (step-pop @p1030 :rule scope :premises (@p1029))
% 1.52/1.78  (step-pop @p1031 :rule scope :premises (@p1030))
% 1.52/1.78  (step-pop @p1032 :rule scope :premises (@p1031))
% 1.52/1.78  (step-pop @p1033 :rule scope :premises (@p1032))
% 1.52/1.78  (step-pop @p1034 :rule scope :premises (@p1033))
% 1.52/1.78  (step-pop @p1035 :rule scope :premises (@p1034))
% 1.52/1.78  (step-pop @p1036 :rule scope :premises (@p1035))
% 1.52/1.78  (step-pop @p1037 :rule scope :premises (@p1036))
% 1.52/1.78  (step-pop @p1038 :rule scope :premises (@p1037))
% 1.52/1.78  (step @p886 :rule process_scope :premises (@p1038) :args (false))
% 1.52/1.78  (assume-push @p1039 @t166)
% 1.52/1.78  (assume-push @p1040 @t183)
% 1.52/1.78  (assume-push @p1041 @t186)
% 1.52/1.78  (assume-push @p1042 @t196)
% 1.52/1.78  (assume-push @p1043 @t202)
% 1.52/1.78  (assume-push @p1044 @t367)
% 1.52/1.78  (assume-push @p1045 @t219)
% 1.52/1.78  (assume-push @p1046 @t236)
% 1.52/1.78  (assume-push @p1047 @t230)
% 1.52/1.78  (assume-push @p1048 @t232)
% 1.52/1.78  (assume-push @p1049 @t240)
% 1.52/1.78  (assume-push @p1050 @t257)
% 1.52/1.78  (assume-push @p1051 @t282)
% 1.52/1.78  (assume-push @p1052 @t289)
% 1.52/1.78  (assume-push @p1053 @t292)
% 1.52/1.78  (assume-push @p1054 @t292)
% 1.52/1.78  (assume-push @p1055 @t282)
% 1.52/1.78  (assume-push @p1056 @t166)
% 1.52/1.78  (assume-push @p1057 @t219)
% 1.52/1.78  (assume-push @p1058 @t232)
% 1.52/1.78  (assume-push @p1059 @t236)
% 1.52/1.78  (assume-push @p1060 @t367)
% 1.52/1.78  (assume-push @p1061 @t240)
% 1.52/1.78  (assume-push @p1062 @t257)
% 1.52/1.78  (assume-push @p1063 @t289)
% 1.52/1.78  (step @p925 :rule symm :premises (@p230))
% 1.52/1.78  (step @p926 :rule symm :premises (@p263))
% 1.52/1.78  (step @p927 :rule symm :premises (@p270))
% 1.52/1.78  (step @p928 :rule cong :premises (@p927 @p365) :args ((tptp.sdtasdt0 @t235 @t164)))
% 1.52/1.78  (step @p929 :rule cong :premises (@p270 @p1044) :args (@t239))
% 1.52/1.78  (step @p930 :rule symm :premises (@p1044))
% 1.52/1.78  (step @p876 :rule symm :premises (@p323))
% 1.52/1.78  (step @p877 :rule symm :premises (@p397))
% 1.52/1.78  (step @p931 :rule trans :premises (@p877 @p876 @p930 @p277 @p929 @p928 @p926 @p925 @p136 @p379 @p407))
% 1.52/1.78  (step-pop @p1064 :rule scope :premises (@p931))
% 1.52/1.78  (step-pop @p1065 :rule scope :premises (@p1064))
% 1.52/1.78  (step-pop @p1066 :rule scope :premises (@p1065))
% 1.52/1.78  (step-pop @p1067 :rule scope :premises (@p1066))
% 1.52/1.78  (step-pop @p1068 :rule scope :premises (@p1067))
% 1.52/1.78  (step-pop @p1069 :rule scope :premises (@p1068))
% 1.52/1.78  (step-pop @p1070 :rule scope :premises (@p1069))
% 1.52/1.78  (step-pop @p1071 :rule scope :premises (@p1070))
% 1.52/1.78  (step-pop @p1072 :rule scope :premises (@p1071))
% 1.52/1.78  (step-pop @p1073 :rule scope :premises (@p1072))
% 1.52/1.78  (step @p932 :rule process_scope :premises (@p1073) :args (@t484))
% 1.52/1.78  (step @p943 :rule and_intro :premises (@p407 @p379 @p136 @p230 @p263 @p270 @p1044 @p277 @p323 @p397))
% 1.52/1.78  (step @p944 :rule modus_ponens :premises (@p943 @p932))
% 1.52/1.78  (assume-push @p1074 @t166)
% 1.52/1.78  (assume-push @p1075 @t282)
% 1.52/1.78  (assume-push @p1076 @t367)
% 1.52/1.78  (assume-push @p1077 @t196)
% 1.52/1.78  (assume-push @p1078 @t202)
% 1.52/1.78  (step @p950 :rule symm :premises (@p379))
% 1.52/1.78  (step @p951 :rule trans :premises (@p950 @p326))
% 1.52/1.78  (step @p952 :rule cong :premises (@p951 @p365) :args ((tptp.sdtasdt0 @t281 @t164)))
% 1.52/1.78  (step @p953 :rule symm :premises (@p951))
% 1.52/1.78  (step @p954 :rule cong :premises (@p953 @p1044) :args (@t195))
% 1.52/1.78  (step @p872 :rule symm :premises (@p189))
% 1.52/1.78  (step @p955 :rule trans :premises (@p872 @p176 @p954 @p952))
% 1.52/1.78  (step-pop @p1079 :rule scope :premises (@p955))
% 1.52/1.78  (step-pop @p1080 :rule scope :premises (@p1079))
% 1.52/1.78  (step-pop @p1081 :rule scope :premises (@p1080))
% 1.52/1.78  (step-pop @p1082 :rule scope :premises (@p1081))
% 1.52/1.78  (step-pop @p1083 :rule scope :premises (@p1082))
% 1.52/1.78  (step @p956 :rule process_scope :premises (@p1083) :args (@t483))
% 1.52/1.78  (step @p962 :rule and_intro :premises (@p136 @p379 @p1044 @p176 @p189))
% 1.52/1.78  (step @p963 :rule modus_ponens :premises (@p962 @p956))
% 1.52/1.78  (step @p964 :rule and_intro :premises (@p379 @p160 @p963 @p253 @p136 @p323 @p1044 @p189 @p407 @p176 @p944 @p397 @p129))
% 1.52/1.78  (step-pop @p1084 :rule scope :premises (@p964))
% 1.52/1.78  (step-pop @p1085 :rule scope :premises (@p1084))
% 1.52/1.78  (step-pop @p1086 :rule scope :premises (@p1085))
% 1.52/1.78  (step-pop @p1087 :rule scope :premises (@p1086))
% 1.52/1.78  (step-pop @p1088 :rule scope :premises (@p1087))
% 1.52/1.78  (step-pop @p1089 :rule scope :premises (@p1088))
% 1.52/1.78  (step-pop @p1090 :rule scope :premises (@p1089))
% 1.52/1.78  (step-pop @p1091 :rule scope :premises (@p1090))
% 1.52/1.78  (step-pop @p1092 :rule scope :premises (@p1091))
% 1.52/1.78  (step-pop @p1093 :rule scope :premises (@p1092))
% 1.52/1.78  (step-pop @p1094 :rule scope :premises (@p1093))
% 1.52/1.78  (step-pop @p1095 :rule scope :premises (@p1094))
% 1.52/1.78  (step-pop @p1096 :rule scope :premises (@p1095))
% 1.52/1.78  (step-pop @p1097 :rule scope :premises (@p1096))
% 1.52/1.78  (step-pop @p1098 :rule scope :premises (@p1097))
% 1.52/1.78  (step @p965 :rule process_scope :premises (@p1098) :args (@t485))
% 1.52/1.78  (step @p981 :rule implies_elim :premises (@p965))
% 1.52/1.78  (step @p982 :rule resolution :premises (@p981 @p886) :args (true @t485))
% 1.52/1.78  (step @p983 :rule not_and :premises (@p982))
% 1.52/1.78  (step @p984 :rule eq_resolve :premises (@p983 @p850))
% 1.52/1.78  (step @p985 :rule reordering :premises (@p984) :args ((or @t167 @t169 @t479 @t482 @t481 @t480 @t220 @t478 @t477 @t476 @t475 @t258 @t283 @t474 @t473)))
% 1.52/1.78  (step @p986 false :rule chain_m_resolution :premises (@p985 @p835 @p407 @p397 @p379 @p323 @p277 @p270 @p263 @p253 @p230 @p189 @p176 @p160 @p136 @p129) :args (false (@list false false false false false false false false false false false false false false true) (@list @t367 @t292 @t289 @t282 @t257 @t240 @t236 @t232 @t230 @t219 @t202 @t196 @t186 @t166 @t169)))
% 1.52/1.78  )
% 1.52/1.78  % SZS output end Proof
% 1.52/1.78  % cvc5 exiting
%------------------------------------------------------------------------------