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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : PUZ135_2 : TPTP v9.2.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n029.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 08:44:18 AM UTC 2026

% Result   : Theorem 0.37s 0.60s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ135_2 : TPTP v9.2.1. Released v5.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n029.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 13:19:32 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.60  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.60  % SZS status Theorem
% 0.37/0.60  % SZS output start Proof
% 0.37/0.60  (
% 0.37/0.60  (declare-sort tptp.place 0)
% 0.37/0.60  (declare-sort tptp.entry 0)
% 0.37/0.60  (declare-sort tptp.knowheyan 0)
% 0.37/0.60  (declare-const tptp.b tptp.knowheyan)
% 0.37/0.60  (declare-const tptp.a tptp.knowheyan)
% 0.37/0.60  (declare-const tptp.reconstituted_materials_sculpture tptp.entry)
% 0.37/0.60  (declare-const tptp.first tptp.place)
% 0.37/0.60  (declare-const tptp.c tptp.knowheyan)
% 0.37/0.60  (declare-const tptp.third tptp.place)
% 0.37/0.60  (declare-const tptp.d tptp.knowheyan)
% 0.37/0.60  (declare-const tptp.place_of (-> tptp.knowheyan tptp.place))
% 0.37/0.60  (declare-const tptp.fourth tptp.place)
% 0.37/0.60  (declare-const tptp.holography tptp.entry)
% 0.37/0.60  (declare-const tptp.collage_painting tptp.entry)
% 0.37/0.60  (declare-const tptp.second tptp.place)
% 0.37/0.60  (declare-const tptp.entry_of (-> tptp.knowheyan tptp.entry))
% 0.37/0.60  (declare-const tptp.laser_etching tptp.entry)
% 0.37/0.60  (define @t1 () (= tptp.a tptp.b))
% 0.37/0.60  (define @t2 () (= tptp.a tptp.c))
% 0.37/0.60  (define @t3 () (= tptp.a tptp.d))
% 0.37/0.60  (define @t4 () (= tptp.b tptp.c))
% 0.37/0.60  (define @t5 () (= tptp.b tptp.d))
% 0.37/0.60  (define @t6 () (= tptp.c tptp.d))
% 0.37/0.60  (define @t7 () (@var "X" tptp.knowheyan))
% 0.37/0.60  (define @t8 () (= @t7 tptp.c))
% 0.37/0.60  (define @t9 () (= @t7 tptp.a))
% 0.37/0.60  (define @t10 () (@list @t7))
% 0.37/0.60  (define @t11 () (@var "X" tptp.entry))
% 0.37/0.60  (define @t12 () (or (= @t11 tptp.collage_painting) (= @t11 tptp.holography) (= @t11 tptp.laser_etching) (= @t11 tptp.reconstituted_materials_sculpture)))
% 0.37/0.60  (define @t13 () (@list @t11))
% 0.37/0.60  (define @t14 () (forall @t13 @t12))
% 0.37/0.60  (define @t15 () (@var "X" tptp.place))
% 0.37/0.60  (define @t16 () (or (= @t15 tptp.first) (= @t15 tptp.second) (= @t15 tptp.third) (= @t15 tptp.fourth)))
% 0.37/0.60  (define @t17 () (forall (@list @t15) @t16))
% 0.37/0.60  (define @t18 () (@var "Y" tptp.knowheyan))
% 0.37/0.60  (define @t19 () (tptp.entry_of @t7))
% 0.37/0.60  (define @t20 () (not (= @t19 (tptp.entry_of @t18))))
% 0.37/0.60  (define @t21 () (= @t7 @t18))
% 0.37/0.60  (define @t22 () (not @t21))
% 0.37/0.60  (define @t23 () (@list @t7 @t18))
% 0.37/0.60  (define @t24 () (forall @t23 (=> @t22 @t20)))
% 0.37/0.60  (define @t25 () (tptp.place_of @t7))
% 0.37/0.60  (define @t26 () (not (= @t25 (tptp.place_of @t18))))
% 0.37/0.60  (define @t27 () (forall @t23 (=> @t22 @t26)))
% 0.37/0.60  (define @t28 () (tptp.entry_of tptp.a))
% 0.37/0.60  (define @t29 () (tptp.place_of tptp.a))
% 0.37/0.60  (define @t30 () (not (= @t19 tptp.holography)))
% 0.37/0.60  (define @t31 () (not (= @t19 tptp.reconstituted_materials_sculpture)))
% 0.37/0.60  (define @t32 () (and @t31 @t30))
% 0.37/0.60  (define @t33 () (= @t25 tptp.fourth))
% 0.37/0.60  (define @t34 () (=> @t33 @t32))
% 0.37/0.60  (define @t35 () (forall @t10 @t34))
% 0.37/0.60  (define @t36 () (not (= @t25 tptp.second)))
% 0.37/0.60  (define @t37 () (not (= @t25 tptp.first)))
% 0.37/0.60  (define @t38 () (not @t8))
% 0.37/0.60  (define @t39 () (not @t9))
% 0.37/0.60  (define @t40 () (and @t39 @t38 @t37 @t36))
% 0.37/0.60  (define @t41 () (=> (= @t19 tptp.collage_painting) @t40))
% 0.37/0.60  (define @t42 () (forall @t10 @t41))
% 0.37/0.60  (define @t43 () (not @t33))
% 0.37/0.60  (define @t44 () (= @t19 tptp.laser_etching))
% 0.37/0.60  (define @t45 () (=> @t44 @t43))
% 0.37/0.60  (define @t46 () (forall @t10 @t45))
% 0.37/0.60  (define @t47 () (tptp.place_of tptp.b))
% 0.37/0.60  (define @t48 () (tptp.place_of tptp.c))
% 0.37/0.60  (define @t49 () (and @t39 @t36))
% 0.37/0.60  (define @t50 () (=> @t44 @t49))
% 0.37/0.60  (define @t51 () (forall @t10 @t50))
% 0.37/0.60  (define @t52 () (tptp.entry_of tptp.b))
% 0.37/0.60  (define @t53 () (tptp.place_of tptp.d))
% 0.37/0.60  (define @t54 () (and (= @t29 tptp.third) (= @t47 tptp.second) (= @t48 tptp.first) (= @t53 tptp.fourth)))
% 0.37/0.60  (define @t55 () (not @t54))
% 0.37/0.60  (define @t56 () (not @t22))
% 0.37/0.60  (define @t57 () (tptp.entry_of tptp.c))
% 0.37/0.60  (define @t58 () (not (= @t57 @t52)))
% 0.37/0.60  (define @t59 () (or (= tptp.c tptp.b) @t58))
% 0.37/0.60  (define @t60 () (forall @t23 (or @t21 @t20)))
% 0.37/0.60  (define @t61 () (= @t52 @t57))
% 0.37/0.60  (define @t62 () (not @t61))
% 0.37/0.60  (define @t63 () (or @t4 @t62))
% 0.37/0.60  (define @t64 () (@list false))
% 0.37/0.60  (define @t65 () (@list true false))
% 0.37/0.60  (define @t66 () (@var "BOUND_VARIABLE_7720" tptp.knowheyan))
% 0.37/0.60  (define @t67 () (forall (@list @t66) (or (not (= tptp.second (tptp.place_of @t66))) (not (= tptp.laser_etching (tptp.entry_of @t66))))))
% 0.37/0.60  (define @t68 () (= tptp.laser_etching @t28))
% 0.37/0.60  (define @t69 () (not @t68))
% 0.37/0.60  (define @t70 () (not (= tptp.a tptp.a)))
% 0.37/0.60  (define @t71 () (or @t70 @t69))
% 0.37/0.60  (define @t72 () (@var "BOUND_VARIABLE_7710" tptp.knowheyan))
% 0.37/0.60  (define @t73 () (not (= tptp.laser_etching (tptp.entry_of @t72))))
% 0.37/0.60  (define @t74 () (not (= tptp.a @t72)))
% 0.37/0.60  (define @t75 () (@list @t72))
% 0.37/0.60  (define @t76 () (or @t74 @t74 @t73))
% 0.37/0.60  (define @t77 () (or @t74 @t73))
% 0.37/0.60  (define @t78 () (forall @t75 @t77))
% 0.37/0.60  (define @t79 () (= tptp.laser_etching @t19))
% 0.37/0.60  (define @t80 () (not @t79))
% 0.37/0.60  (define @t81 () (not (= tptp.second @t25)))
% 0.37/0.60  (define @t82 () (or @t81 @t80))
% 0.37/0.60  (define @t83 () (forall @t10 @t82))
% 0.37/0.60  (define @t84 () (@list @t7))
% 0.37/0.60  (define @t85 () (not (= tptp.a @t7)))
% 0.37/0.60  (define @t86 () (or @t85 @t80))
% 0.37/0.60  (define @t87 () (forall @t10 @t86))
% 0.37/0.60  (define @t88 () (and @t87 @t83))
% 0.37/0.60  (define @t89 () (and @t85 @t81))
% 0.37/0.60  (define @t90 () (or @t89 @t80))
% 0.37/0.60  (define @t91 () (or @t80 @t89))
% 0.37/0.60  (define @t92 () (@list tptp.c))
% 0.37/0.60  (define @t93 () (= tptp.fourth @t25))
% 0.37/0.60  (define @t94 () (and (not (= tptp.reconstituted_materials_sculpture @t19)) (not (= tptp.holography @t19))))
% 0.37/0.60  (define @t95 () (= tptp.holography @t57))
% 0.37/0.60  (define @t96 () (not @t95))
% 0.37/0.60  (define @t97 () (= tptp.reconstituted_materials_sculpture @t57))
% 0.37/0.60  (define @t98 () (not @t97))
% 0.37/0.60  (define @t99 () (and @t98 @t96))
% 0.37/0.60  (define @t100 () (= tptp.fourth @t48))
% 0.37/0.60  (define @t101 () (not @t100))
% 0.37/0.60  (define @t102 () (or @t101 @t99))
% 0.37/0.60  (define @t103 () (not @t93))
% 0.37/0.60  (define @t104 () (= tptp.laser_etching @t57))
% 0.37/0.60  (define @t105 () (not @t104))
% 0.37/0.60  (define @t106 () (or @t105 @t101))
% 0.37/0.60  (define @t107 () (@var "BOUND_VARIABLE_7661" tptp.knowheyan))
% 0.37/0.60  (define @t108 () (forall (@list @t107) (or (not (= tptp.second (tptp.place_of @t107))) (not (= tptp.collage_painting (tptp.entry_of @t107))))))
% 0.37/0.60  (define @t109 () (@var "BOUND_VARIABLE_7649" tptp.knowheyan))
% 0.37/0.60  (define @t110 () (forall (@list @t109) (or (not (= tptp.first (tptp.place_of @t109))) (not (= tptp.collage_painting (tptp.entry_of @t109))))))
% 0.37/0.60  (define @t111 () (= tptp.collage_painting @t57))
% 0.37/0.60  (define @t112 () (not @t111))
% 0.37/0.60  (define @t113 () (not (= tptp.c tptp.c)))
% 0.37/0.60  (define @t114 () (or @t113 @t112))
% 0.37/0.60  (define @t115 () (@var "BOUND_VARIABLE_7639" tptp.knowheyan))
% 0.37/0.60  (define @t116 () (not (= tptp.collage_painting (tptp.entry_of @t115))))
% 0.37/0.60  (define @t117 () (not (= tptp.c @t115)))
% 0.37/0.60  (define @t118 () (@list @t115))
% 0.37/0.60  (define @t119 () (or @t117 @t117 @t116))
% 0.37/0.60  (define @t120 () (or @t117 @t116))
% 0.37/0.60  (define @t121 () (forall @t118 @t120))
% 0.37/0.60  (define @t122 () (= tptp.collage_painting @t28))
% 0.37/0.60  (define @t123 () (not @t122))
% 0.37/0.60  (define @t124 () (or @t70 @t123))
% 0.37/0.60  (define @t125 () (@var "BOUND_VARIABLE_7629" tptp.knowheyan))
% 0.37/0.60  (define @t126 () (not (= tptp.collage_painting (tptp.entry_of @t125))))
% 0.37/0.60  (define @t127 () (not (= tptp.a @t125)))
% 0.37/0.60  (define @t128 () (@list @t125))
% 0.37/0.60  (define @t129 () (or @t127 @t127 @t126))
% 0.37/0.60  (define @t130 () (or @t127 @t126))
% 0.37/0.60  (define @t131 () (forall @t128 @t130))
% 0.37/0.60  (define @t132 () (= tptp.collage_painting @t19))
% 0.37/0.60  (define @t133 () (not @t132))
% 0.37/0.60  (define @t134 () (or @t81 @t133))
% 0.37/0.60  (define @t135 () (forall @t10 @t134))
% 0.37/0.60  (define @t136 () (not (= tptp.first @t25)))
% 0.37/0.60  (define @t137 () (or @t136 @t133))
% 0.37/0.60  (define @t138 () (forall @t10 @t137))
% 0.37/0.60  (define @t139 () (not (= tptp.c @t7)))
% 0.37/0.60  (define @t140 () (or @t139 @t133))
% 0.37/0.60  (define @t141 () (forall @t10 @t140))
% 0.37/0.60  (define @t142 () (or @t85 @t133))
% 0.37/0.60  (define @t143 () (forall @t10 @t142))
% 0.37/0.60  (define @t144 () (and @t143 @t141 @t138 @t135))
% 0.37/0.60  (define @t145 () (and @t142 @t140 @t137 @t134))
% 0.37/0.60  (define @t146 () (and @t85 @t139 @t136 @t81))
% 0.37/0.60  (define @t147 () (or @t146 @t133))
% 0.37/0.60  (define @t148 () (or @t133 @t146))
% 0.37/0.60  (define @t149 () (= tptp.reconstituted_materials_sculpture @t28))
% 0.37/0.60  (define @t150 () (= tptp.holography @t28))
% 0.37/0.60  (define @t151 () (or @t122 @t150 @t68 @t149))
% 0.37/0.60  (define @t152 () (@list true true true false))
% 0.37/0.60  (define @t153 () (= @t28 @t57))
% 0.37/0.60  (define @t154 () (not @t153))
% 0.37/0.60  (define @t155 () (or @t2 @t154))
% 0.37/0.60  (define @t156 () (not @t149))
% 0.37/0.60  (define @t157 () (= false true))
% 0.37/0.60  (define @t158 () (and @t97 @t149 @t154))
% 0.37/0.60  (define @t159 () (or @t111 @t95 @t104 @t97))
% 0.37/0.60  (define @t160 () (= @t47 @t48))
% 0.37/0.60  (define @t161 () (not @t160))
% 0.37/0.60  (define @t162 () (or @t4 @t161))
% 0.37/0.60  (define @t163 () (= tptp.first @t47))
% 0.37/0.60  (define @t164 () (not @t163))
% 0.37/0.60  (define @t165 () (= tptp.first @t48))
% 0.37/0.60  (define @t166 () (not @t165))
% 0.37/0.60  (define @t167 () (not @t161))
% 0.37/0.60  (define @t168 () (= tptp.fourth @t47))
% 0.37/0.60  (define @t169 () (= tptp.third @t47))
% 0.37/0.60  (define @t170 () (= tptp.second @t47))
% 0.37/0.60  (define @t171 () (or @t163 @t170 @t169 @t168))
% 0.37/0.60  (define @t172 () (@list tptp.a tptp.b))
% 0.37/0.60  (define @t173 () (= @t29 @t47))
% 0.37/0.60  (define @t174 () (not @t173))
% 0.37/0.60  (define @t175 () (or @t1 @t174))
% 0.37/0.60  (define @t176 () (= tptp.second @t29))
% 0.37/0.60  (define @t177 () (not @t176))
% 0.37/0.60  (define @t178 () (not @t170))
% 0.37/0.60  (define @t179 () (and @t170 @t176 @t174))
% 0.37/0.60  (define @t180 () (and @t156 (not @t150)))
% 0.37/0.60  (define @t181 () (not @t180))
% 0.37/0.60  (define @t182 () (= tptp.fourth @t29))
% 0.37/0.60  (define @t183 () (not @t182))
% 0.37/0.60  (define @t184 () (or @t183 @t180))
% 0.37/0.60  (define @t185 () (= tptp.third @t29))
% 0.37/0.60  (define @t186 () (= tptp.first @t29))
% 0.37/0.60  (define @t187 () (or @t186 @t176 @t185 @t182))
% 0.37/0.60  (define @t188 () (= @t48 @t53))
% 0.37/0.60  (define @t189 () (not @t188))
% 0.37/0.60  (define @t190 () (or @t6 @t189))
% 0.37/0.60  (define @t191 () (= tptp.first @t53))
% 0.37/0.60  (define @t192 () (not @t191))
% 0.37/0.60  (define @t193 () (and @t165 @t189))
% 0.37/0.60  (define @t194 () (= @t47 @t53))
% 0.37/0.60  (define @t195 () (not @t194))
% 0.37/0.60  (define @t196 () (or @t5 @t195))
% 0.37/0.60  (define @t197 () (= tptp.second @t53))
% 0.37/0.60  (define @t198 () (not @t197))
% 0.37/0.60  (define @t199 () (and @t170 @t195))
% 0.37/0.60  (define @t200 () (= @t29 @t53))
% 0.37/0.60  (define @t201 () (not @t200))
% 0.37/0.60  (define @t202 () (or @t3 @t201))
% 0.37/0.60  (define @t203 () (= tptp.third @t53))
% 0.37/0.60  (define @t204 () (not @t203))
% 0.37/0.60  (define @t205 () (not @t185))
% 0.37/0.60  (define @t206 () (and @t185 @t201))
% 0.37/0.60  (define @t207 () (= tptp.fourth @t53))
% 0.37/0.60  (define @t208 () (or @t191 @t197 @t203 @t207))
% 0.37/0.60  (define @t209 () (= tptp.third @t48))
% 0.37/0.60  (define @t210 () (= tptp.second @t48))
% 0.37/0.60  (define @t211 () (or @t165 @t210 @t209 @t100))
% 0.37/0.60  (define @t212 () (not @t210))
% 0.37/0.60  (define @t213 () (or @t212 @t105))
% 0.37/0.60  (define @t214 () (@list false false))
% 0.37/0.60  (define @t215 () (= tptp.holography @t52))
% 0.37/0.60  (define @t216 () (not @t215))
% 0.37/0.60  (define @t217 () (and @t95 @t215 @t62))
% 0.37/0.60  (define @t218 () (@list false true))
% 0.37/0.60  (define @t219 () (not (= @t28 @t52)))
% 0.37/0.60  (define @t220 () (or @t1 @t219))
% 0.37/0.60  (define @t221 () (= tptp.reconstituted_materials_sculpture @t52))
% 0.37/0.60  (define @t222 () (and @t210 @t170 @t161))
% 0.37/0.60  (define @t223 () (= tptp.collage_painting @t52))
% 0.37/0.60  (define @t224 () (not @t223))
% 0.37/0.60  (define @t225 () (or @t164 @t224))
% 0.37/0.60  (define @t226 () (= tptp.laser_etching @t52))
% 0.37/0.60  (define @t227 () (or @t223 @t215 @t226 @t221))
% 0.37/0.60  (define @t228 () (not @t227))
% 0.37/0.60  (define @t229 () (forall @t13 (or (= tptp.collage_painting @t11) (= tptp.holography @t11) (= tptp.laser_etching @t11) (= tptp.reconstituted_materials_sculpture @t11))))
% 0.37/0.60  (assume @p1 (not @t1))
% 0.37/0.60  (assume @p2 (not @t2))
% 0.37/0.60  (assume @p3 (not @t3))
% 0.37/0.60  (assume @p4 (not @t4))
% 0.37/0.60  (assume @p5 (not @t5))
% 0.37/0.60  (assume @p6 (not @t6))
% 0.37/0.60  (assume @p7 (not (= tptp.collage_painting tptp.holography)))
% 0.37/0.60  (assume @p8 (not (= tptp.collage_painting tptp.laser_etching)))
% 0.37/0.60  (assume @p9 (not (= tptp.collage_painting tptp.reconstituted_materials_sculpture)))
% 0.37/0.60  (assume @p10 (not (= tptp.holography tptp.laser_etching)))
% 0.37/0.60  (assume @p11 (not (= tptp.holography tptp.reconstituted_materials_sculpture)))
% 0.37/0.60  (assume @p12 (not (= tptp.laser_etching tptp.reconstituted_materials_sculpture)))
% 0.37/0.60  (assume @p13 (not (= tptp.first tptp.second)))
% 0.37/0.60  (assume @p14 (not (= tptp.first tptp.third)))
% 0.37/0.60  (assume @p15 (not (= tptp.first tptp.fourth)))
% 0.37/0.60  (assume @p16 (not (= tptp.second tptp.third)))
% 0.37/0.60  (assume @p17 (not (= tptp.second tptp.fourth)))
% 0.37/0.60  (assume @p18 (not (= tptp.third tptp.fourth)))
% 0.37/0.60  (assume @p19 (forall @t10 (or @t9 (= @t7 tptp.b) @t8 (= @t7 tptp.d))))
% 0.37/0.60  (assume @p20 @t14)
% 0.37/0.60  (assume @p21 @t17)
% 0.37/0.60  (assume @p22 @t24)
% 0.37/0.60  (assume @p23 @t27)
% 0.37/0.60  (assume @p24 (and (not (= @t29 tptp.first)) (not (= @t28 tptp.holography))))
% 0.37/0.60  (assume @p25 @t35)
% 0.37/0.60  (assume @p26 @t42)
% 0.37/0.60  (assume @p27 (and (not (= @t47 tptp.fourth)) @t46))
% 0.37/0.60  (assume @p28 (and (not (= @t47 tptp.third)) (not (= @t48 tptp.third))))
% 0.37/0.60  (assume @p29 (and (not (= @t52 tptp.laser_etching)) @t51))
% 0.37/0.60  (assume @p30 @t55)
% 0.37/0.60  (assume @p31 true)
% 0.37/0.60  (step @p32 :rule eq-symm :args (@t11 tptp.reconstituted_materials_sculpture))
% 0.37/0.60  (step @p33 :rule eq-symm :args (@t11 tptp.laser_etching))
% 0.37/0.60  (step @p34 :rule eq-symm :args (@t11 tptp.holography))
% 0.37/0.60  (step @p35 :rule eq-symm :args (@t11 tptp.collage_painting))
% 0.37/0.60  (step @p36 :rule nary_cong :premises (@p35 @p34 @p33 @p32) :args (@t12))
% 0.37/0.60  (step @p37 :rule cong :premises (@p36) :args (@t14))
% 0.37/0.60  (step @p38 :rule eq_resolve :premises (@p20 @p37))
% 0.37/0.60  (step @p39 :rule refl :args (@t20))
% 0.37/0.60  (step @p40 :rule bool-double-not-elim :args (@t21))
% 0.37/0.60  (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t56 @t20)))
% 0.37/0.60  (step @p42 :rule bool-impl-elim :args (@t22 @t20))
% 0.37/0.60  (step @p43 :rule trans :premises (@p42 @p41))
% 0.37/0.60  (step @p44 :rule cong :premises (@p43) :args (@t24))
% 0.37/0.60  (step @p45 :rule eq_resolve :premises (@p22 @p44))
% 0.37/0.60  (step @p46 :rule eq-symm :args (@t57 @t52))
% 0.37/0.60  (step @p47 :rule cong :premises (@p46) :args (@t58))
% 0.37/0.60  (step @p48 :rule eq-symm :args (tptp.c tptp.b))
% 0.37/0.60  (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t59))
% 0.37/0.60  (step @p50 :rule refl :args (@t60))
% 0.37/0.60  (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t60 @t59)))
% 0.37/0.60  (assume-push @p541 @t60)
% 0.37/0.60  (step @p53 :rule instantiate :premises (@p45) :args ((@list tptp.c tptp.b)))
% 0.37/0.60  (step-pop @p542 :rule scope :premises (@p53))
% 0.37/0.60  (step @p54 :rule process_scope :premises (@p542) :args (@t59))
% 0.37/0.60  (step @p56 :rule eq_resolve :premises (@p54 @p51))
% 0.37/0.60  (step @p57 :rule implies_elim :premises (@p56))
% 0.37/0.60  (step @p58 :rule chain_m_resolution :premises (@p57 @p45) :args (@t63 @t64 (@list @t60)))
% 0.37/0.60  (step @p59 :rule cnf_or_pos :args (@t63))
% 0.37/0.60  (step @p60 :rule reordering :premises (@p59) :args ((or @t4 @t62 (not @t63))))
% 0.37/0.60  (step @p61 :rule chain_m_resolution :premises (@p60 @p4 @p58) :args (@t62 @t65 (@list @t4 @t63)))
% 0.37/0.60  (step @p62 :rule instantiate :premises (@p38) :args ((@list @t57)))
% 0.37/0.60  (step @p63 :rule refl :args (@t67))
% 0.37/0.60  (step @p64 :rule aci_norm :args ((= (or false @t69) @t69)))
% 0.37/0.60  (step @p65 :rule refl :args (@t69))
% 0.37/0.60  (step @p66 :rule evaluate :args ((not true)))
% 0.37/0.60  (step @p67 :rule eq-refl :args (tptp.a))
% 0.37/0.60  (step @p68 :rule cong :premises (@p67) :args (@t70))
% 0.37/0.60  (step @p69 :rule trans :premises (@p68 @p66))
% 0.37/0.60  (step @p70 :rule nary_cong :premises (@p69 @p65) :args (@t71))
% 0.37/0.60  (step @p71 :rule trans :premises (@p70 @p64))
% 0.37/0.60  (step @p72 :rule quant-var-elim-eq :args ((= (forall @t75 (or (not (= @t72 tptp.a)) @t74 @t73)) @t71)))
% 0.37/0.60  (step @p73 :rule refl :args (@t73))
% 0.37/0.60  (step @p74 :rule refl :args (@t74))
% 0.37/0.60  (step @p75 :rule eq-symm :args (tptp.a @t72))
% 0.37/0.60  (step @p76 :rule cong :premises (@p75) :args (@t74))
% 0.37/0.60  (step @p77 :rule nary_cong :premises (@p76 @p74 @p73) :args (@t76))
% 0.37/0.60  (step @p78 :rule aci_norm :args ((= @t77 @t76)))
% 0.37/0.60  (step @p79 :rule trans :premises (@p78 @p77))
% 0.37/0.60  (step @p80 :rule cong :premises (@p79) :args (@t78))
% 0.37/0.60  (step @p81 :rule trans :premises (@p80 @p72))
% 0.37/0.60  (step @p82 :rule trans :premises (@p81 @p71))
% 0.37/0.60  (step @p83 :rule nary_cong :premises (@p82 @p63) :args ((and @t78 @t67)))
% 0.37/0.60  (step @p84 :rule alpha_equiv :args (@t83 @t84 (@list @t66)))
% 0.37/0.60  (step @p85 :rule alpha_equiv :args (@t87 @t84 (@list @t72)))
% 0.37/0.60  (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t88))
% 0.37/0.60  (step @p87 :rule quant-miniscope-and :args ((= (forall @t10 (and @t86 @t82)) @t88)))
% 0.37/0.60  (step @p88 :rule trans :premises (@p87 @p86))
% 0.37/0.60  (step @p89 :rule trans :premises (@p88 @p83))
% 0.37/0.60  (step @p90 :rule bool-or-and-distrib :args (@t85 @t81 true @t80 false))
% 0.37/0.60  (step @p91 :rule cong :premises (@p90) :args ((forall @t10 @t90)))
% 0.37/0.60  (step @p92 :rule trans :premises (@p91 @p89))
% 0.37/0.60  (step @p93 :rule aci_norm :args ((= @t91 @t90)))
% 0.37/0.60  (step @p94 :rule cong :premises (@p93) :args ((forall @t10 @t91)))
% 0.37/0.60  (step @p95 :rule trans :premises (@p94 @p92))
% 0.37/0.60  (step @p96 :rule bool-impl-elim :args (@t79 @t89))
% 0.37/0.60  (step @p97 :rule cong :premises (@p96) :args ((forall @t10 (=> @t79 @t89))))
% 0.37/0.60  (step @p98 :rule trans :premises (@p97 @p95))
% 0.37/0.60  (step @p99 :rule eq-symm :args (@t25 tptp.second))
% 0.37/0.60  (step @p100 :rule cong :premises (@p99) :args (@t36))
% 0.37/0.60  (step @p101 :rule eq-symm :args (@t7 tptp.a))
% 0.37/0.60  (step @p102 :rule cong :premises (@p101) :args (@t39))
% 0.37/0.60  (step @p103 :rule nary_cong :premises (@p102 @p100) :args (@t49))
% 0.37/0.60  (step @p104 :rule eq-symm :args (@t19 tptp.laser_etching))
% 0.37/0.60  (step @p105 :rule cong :premises (@p104 @p103) :args (@t50))
% 0.37/0.60  (step @p106 :rule cong :premises (@p105) :args (@t51))
% 0.37/0.60  (step @p107 :rule trans :premises (@p106 @p98))
% 0.37/0.60  (step @p108 :rule and_elim :premises (@p29) :args (1))
% 0.37/0.60  (step @p109 :rule eq_resolve :premises (@p108 @p107))
% 0.37/0.60  (step @p110 :rule and_elim :premises (@p109) :args (1))
% 0.37/0.60  (step @p111 :rule instantiate :premises (@p110) :args (@t92))
% 0.37/0.60  (step @p112 :rule eq-symm :args (@t15 tptp.fourth))
% 0.37/0.60  (step @p113 :rule eq-symm :args (@t15 tptp.third))
% 0.37/0.60  (step @p114 :rule eq-symm :args (@t15 tptp.second))
% 0.37/0.60  (step @p115 :rule eq-symm :args (@t15 tptp.first))
% 0.37/0.60  (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112) :args (@t16))
% 0.37/0.60  (step @p117 :rule cong :premises (@p116) :args (@t17))
% 0.37/0.60  (step @p118 :rule eq_resolve :premises (@p21 @p117))
% 0.37/0.60  (step @p119 :rule instantiate :premises (@p118) :args ((@list @t48)))
% 0.37/0.60  (step @p120 :rule bool-impl-elim :args (@t93 @t94))
% 0.37/0.60  (step @p121 :rule cong :premises (@p120) :args ((forall @t10 (=> @t93 @t94))))
% 0.37/0.60  (step @p122 :rule eq-symm :args (@t19 tptp.holography))
% 0.37/0.60  (step @p123 :rule cong :premises (@p122) :args (@t30))
% 0.37/0.60  (step @p124 :rule eq-symm :args (@t19 tptp.reconstituted_materials_sculpture))
% 0.37/0.60  (step @p125 :rule cong :premises (@p124) :args (@t31))
% 0.37/0.60  (step @p126 :rule nary_cong :premises (@p125 @p123) :args (@t32))
% 0.37/0.60  (step @p127 :rule eq-symm :args (@t25 tptp.fourth))
% 0.37/0.60  (step @p128 :rule cong :premises (@p127 @p126) :args (@t34))
% 0.37/0.60  (step @p129 :rule cong :premises (@p128) :args (@t35))
% 0.37/0.60  (step @p130 :rule trans :premises (@p129 @p121))
% 0.37/0.60  (step @p131 :rule eq_resolve :premises (@p25 @p130))
% 0.37/0.60  (step @p132 :rule instantiate :premises (@p131) :args (@t92))
% 0.37/0.60  (step @p133 :rule cnf_or_pos :args (@t102))
% 0.37/0.60  (step @p134 :rule reordering :premises (@p133) :args ((or @t101 @t99 (not @t102))))
% 0.37/0.60  (step @p135 :rule bool-impl-elim :args (@t79 @t103))
% 0.37/0.60  (step @p136 :rule cong :premises (@p135) :args ((forall @t10 (=> @t79 @t103))))
% 0.37/0.60  (step @p137 :rule cong :premises (@p127) :args (@t43))
% 0.37/0.60  (step @p138 :rule cong :premises (@p104 @p137) :args (@t45))
% 0.37/0.60  (step @p139 :rule cong :premises (@p138) :args (@t46))
% 0.37/0.60  (step @p140 :rule trans :premises (@p139 @p136))
% 0.37/0.60  (step @p141 :rule and_elim :premises (@p27) :args (1))
% 0.37/0.60  (step @p142 :rule eq_resolve :premises (@p141 @p140))
% 0.37/0.60  (step @p143 :rule instantiate :premises (@p142) :args (@t92))
% 0.37/0.60  (step @p144 :rule cnf_or_pos :args (@t106))
% 0.37/0.60  (step @p145 :rule reordering :premises (@p144) :args ((or @t101 @t105 (not @t106))))
% 0.37/0.60  (step @p146 :rule cnf_and_pos :args (@t99 1))
% 0.37/0.60  (step @p147 :rule reordering :premises (@p146) :args ((or @t96 (not @t99))))
% 0.37/0.60  (step @p148 :rule refl :args (@t108))
% 0.37/0.60  (step @p149 :rule refl :args (@t110))
% 0.37/0.60  (step @p150 :rule aci_norm :args ((= (or false @t112) @t112)))
% 0.37/0.60  (step @p151 :rule refl :args (@t112))
% 0.37/0.60  (step @p152 :rule eq-refl :args (tptp.c))
% 0.37/0.60  (step @p153 :rule cong :premises (@p152) :args (@t113))
% 0.37/0.60  (step @p154 :rule trans :premises (@p153 @p66))
% 0.37/0.60  (step @p155 :rule nary_cong :premises (@p154 @p151) :args (@t114))
% 0.37/0.60  (step @p156 :rule trans :premises (@p155 @p150))
% 0.37/0.60  (step @p157 :rule quant-var-elim-eq :args ((= (forall @t118 (or (not (= @t115 tptp.c)) @t117 @t116)) @t114)))
% 0.37/0.60  (step @p158 :rule refl :args (@t116))
% 0.37/0.60  (step @p159 :rule refl :args (@t117))
% 0.37/0.60  (step @p160 :rule eq-symm :args (tptp.c @t115))
% 0.37/0.60  (step @p161 :rule cong :premises (@p160) :args (@t117))
% 0.37/0.60  (step @p162 :rule nary_cong :premises (@p161 @p159 @p158) :args (@t119))
% 0.37/0.60  (step @p163 :rule aci_norm :args ((= @t120 @t119)))
% 0.37/0.60  (step @p164 :rule trans :premises (@p163 @p162))
% 0.37/0.60  (step @p165 :rule cong :premises (@p164) :args (@t121))
% 0.37/0.60  (step @p166 :rule trans :premises (@p165 @p157))
% 0.37/0.60  (step @p167 :rule trans :premises (@p166 @p156))
% 0.37/0.60  (step @p168 :rule aci_norm :args ((= (or false @t123) @t123)))
% 0.37/0.60  (step @p169 :rule refl :args (@t123))
% 0.37/0.60  (step @p170 :rule nary_cong :premises (@p69 @p169) :args (@t124))
% 0.37/0.60  (step @p171 :rule trans :premises (@p170 @p168))
% 0.37/0.60  (step @p172 :rule quant-var-elim-eq :args ((= (forall @t128 (or (not (= @t125 tptp.a)) @t127 @t126)) @t124)))
% 0.37/0.60  (step @p173 :rule refl :args (@t126))
% 0.37/0.60  (step @p174 :rule refl :args (@t127))
% 0.37/0.60  (step @p175 :rule eq-symm :args (tptp.a @t125))
% 0.37/0.60  (step @p176 :rule cong :premises (@p175) :args (@t127))
% 0.37/0.60  (step @p177 :rule nary_cong :premises (@p176 @p174 @p173) :args (@t129))
% 0.37/0.60  (step @p178 :rule aci_norm :args ((= @t130 @t129)))
% 0.37/0.60  (step @p179 :rule trans :premises (@p178 @p177))
% 0.37/0.60  (step @p180 :rule cong :premises (@p179) :args (@t131))
% 0.37/0.60  (step @p181 :rule trans :premises (@p180 @p172))
% 0.37/0.60  (step @p182 :rule trans :premises (@p181 @p171))
% 0.37/0.60  (step @p183 :rule nary_cong :premises (@p182 @p167 @p149 @p148) :args ((and @t131 @t121 @t110 @t108)))
% 0.37/0.60  (step @p184 :rule alpha_equiv :args (@t135 @t84 (@list @t107)))
% 0.37/0.60  (step @p185 :rule alpha_equiv :args (@t138 @t84 (@list @t109)))
% 0.37/0.60  (step @p186 :rule alpha_equiv :args (@t141 @t84 (@list @t115)))
% 0.37/0.60  (step @p187 :rule alpha_equiv :args (@t143 @t84 (@list @t125)))
% 0.37/0.60  (step @p188 :rule nary_cong :premises (@p187 @p186 @p185 @p184) :args (@t144))
% 0.37/0.60  (step @p189 :rule quant-miniscope-and :args ((= (forall @t10 @t145) @t144)))
% 0.37/0.60  (step @p190 :rule trans :premises (@p189 @p188))
% 0.37/0.60  (step @p191 :rule trans :premises (@p190 @p183))
% 0.37/0.60  (step @p192 :rule aci_norm :args ((= (and @t142 (and @t140 (and @t137 @t134))) @t145)))
% 0.37/0.60  (step @p193 :rule bool-or-and-distrib :args (@t136 @t81 true @t133 false))
% 0.37/0.60  (step @p194 :rule refl :args (@t140))
% 0.37/0.60  (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((and @t140 (or (and @t136 @t81) @t133))))
% 0.37/0.60  (step @p196 :rule bool-or-and-distrib :args (@t139 @t136 (and @t81) @t133 false))
% 0.37/0.60  (step @p197 :rule trans :premises (@p196 @p195))
% 0.37/0.60  (step @p198 :rule refl :args (@t142))
% 0.37/0.60  (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((and @t142 (or (and @t139 @t136 @t81) @t133))))
% 0.37/0.60  (step @p200 :rule bool-or-and-distrib :args (@t85 @t139 (and @t136 @t81) @t133 false))
% 0.37/0.60  (step @p201 :rule trans :premises (@p200 @p199))
% 0.37/0.60  (step @p202 :rule trans :premises (@p201 @p192))
% 0.37/0.60  (step @p203 :rule cong :premises (@p202) :args ((forall @t10 @t147)))
% 0.37/0.60  (step @p204 :rule trans :premises (@p203 @p191))
% 0.37/0.60  (step @p205 :rule aci_norm :args ((= @t148 @t147)))
% 0.37/0.60  (step @p206 :rule cong :premises (@p205) :args ((forall @t10 @t148)))
% 0.37/0.60  (step @p207 :rule trans :premises (@p206 @p204))
% 0.37/0.60  (step @p208 :rule bool-impl-elim :args (@t132 @t146))
% 0.37/0.60  (step @p209 :rule cong :premises (@p208) :args ((forall @t10 (=> @t132 @t146))))
% 0.37/0.60  (step @p210 :rule trans :premises (@p209 @p207))
% 0.37/0.60  (step @p211 :rule eq-symm :args (@t25 tptp.first))
% 0.37/0.60  (step @p212 :rule cong :premises (@p211) :args (@t37))
% 0.37/0.60  (step @p213 :rule eq-symm :args (@t7 tptp.c))
% 0.37/0.60  (step @p214 :rule cong :premises (@p213) :args (@t38))
% 0.37/0.60  (step @p215 :rule nary_cong :premises (@p102 @p214 @p212 @p100) :args (@t40))
% 0.37/0.60  (step @p216 :rule eq-symm :args (@t19 tptp.collage_painting))
% 0.37/0.60  (step @p217 :rule cong :premises (@p216 @p215) :args (@t41))
% 0.37/0.60  (step @p218 :rule cong :premises (@p217) :args (@t42))
% 0.37/0.60  (step @p219 :rule trans :premises (@p218 @p210))
% 0.37/0.60  (step @p220 :rule eq_resolve :premises (@p26 @p219))
% 0.37/0.60  (step @p221 :rule and_elim :premises (@p220) :args (1))
% 0.37/0.60  (step @p222 :rule instantiate :premises (@p38) :args ((@list @t28)))
% 0.37/0.60  (step @p223 :rule and_elim :premises (@p109) :args (0))
% 0.37/0.60  (step @p224 :rule and_elim :premises (@p220) :args (0))
% 0.37/0.60  (step @p225 :rule and_elim :premises (@p24) :args (1))
% 0.37/0.60  (step @p226 :rule symm :premises (@p225))
% 0.37/0.60  (step @p227 :rule cnf_or_pos :args (@t151))
% 0.37/0.60  (step @p228 :rule reordering :premises (@p227) :args ((or @t150 @t122 @t68 @t149 (not @t151))))
% 0.37/0.60  (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p224 @p223 @p222) :args (@t149 @t152 (@list @t150 @t122 @t68 @t151)))
% 0.37/0.60  (step @p230 :rule instantiate :premises (@p45) :args ((@list tptp.a tptp.c)))
% 0.37/0.60  (step @p231 :rule cnf_or_pos :args (@t155))
% 0.37/0.60  (step @p232 :rule reordering :premises (@p231) :args ((or @t2 @t154 (not @t155))))
% 0.37/0.60  (step @p233 :rule chain_m_resolution :premises (@p232 @p2 @p230) :args (@t154 @t65 (@list @t2 @t155)))
% 0.37/0.60  (step @p234 :rule refl :args (@t98))
% 0.37/0.60  (step @p235 :rule refl :args (@t156))
% 0.37/0.60  (step @p236 :rule bool-double-not-elim :args (@t153))
% 0.37/0.60  (step @p237 :rule nary_cong :premises (@p236 @p235 @p234) :args ((or (not @t154) @t156 @t98)))
% 0.37/0.60  (assume-push @p543 @t97)
% 0.37/0.60  (assume-push @p544 @t149)
% 0.37/0.60  (assume-push @p545 @t154)
% 0.37/0.60  (step @p241 :rule evaluate :args (@t157))
% 0.37/0.60  (step @p242 :rule symm :premises (@p229))
% 0.37/0.60  (step @p243 :rule trans :premises (@p242 @p543))
% 0.37/0.60  (step @p244 :rule true_intro :premises (@p243))
% 0.37/0.60  (step @p245 :rule false_intro :premises (@p233))
% 0.37/0.60  (step @p246 :rule symm :premises (@p245))
% 0.37/0.60  (step @p247 :rule trans :premises (@p246 @p244))
% 0.37/0.60  (step @p248 false :rule eq_resolve :premises (@p247 @p241))
% 0.37/0.60  (step-pop @p546 :rule scope :premises (@p248))
% 0.37/0.60  (step-pop @p547 :rule scope :premises (@p546))
% 0.37/0.60  (step-pop @p548 :rule scope :premises (@p547))
% 0.37/0.60  (step @p249 :rule process_scope :premises (@p548) :args (false))
% 0.37/0.60  (assume-push @p549 @t154)
% 0.37/0.60  (assume-push @p550 @t149)
% 0.37/0.60  (assume-push @p551 @t97)
% 0.37/0.60  (step @p256 :rule and_intro :premises (@p551 @p229 @p233))
% 0.37/0.60  (step-pop @p552 :rule scope :premises (@p256))
% 0.37/0.60  (step-pop @p553 :rule scope :premises (@p552))
% 0.37/0.60  (step-pop @p554 :rule scope :premises (@p553))
% 0.37/0.60  (step @p257 :rule process_scope :premises (@p554) :args (@t158))
% 0.37/0.60  (step @p261 :rule implies_elim :premises (@p257))
% 0.37/0.60  (step @p262 :rule resolution :premises (@p261 @p249) :args (true @t158))
% 0.37/0.60  (step @p263 :rule not_and :premises (@p262))
% 0.37/0.60  (step @p264 :rule eq_resolve :premises (@p263 @p237))
% 0.37/0.60  (step @p265 :rule chain_m_resolution :premises (@p264 @p233 @p229) :args (@t98 @t65 (@list @t153 @t149)))
% 0.37/0.60  (step @p266 :rule cnf_or_pos :args (@t159))
% 0.37/0.60  (step @p267 :rule reordering :premises (@p266) :args ((or @t111 @t97 @t95 @t104 (not @t159))))
% 0.37/0.60  (step @p268 :rule chain_m_resolution :premises (@p267 @p62 @p265 @p221 @p147 @p145 @p143 @p134 @p132) :args (@t101 (@list false true true true true false false false) (@list @t159 @t97 @t111 @t95 @t104 @t106 @t99 @t102)))
% 0.37/0.60  (step @p269 :rule refl :args (@t26))
% 0.37/0.60  (step @p270 :rule nary_cong :premises (@p40 @p269) :args ((or @t56 @t26)))
% 0.37/0.60  (step @p271 :rule bool-impl-elim :args (@t22 @t26))
% 0.37/0.60  (step @p272 :rule trans :premises (@p271 @p270))
% 0.37/0.60  (step @p273 :rule cong :premises (@p272) :args (@t27))
% 0.37/0.60  (step @p274 :rule eq_resolve :premises (@p23 @p273))
% 0.37/0.60  (step @p275 :rule instantiate :premises (@p274) :args ((@list tptp.b tptp.c)))
% 0.37/0.60  (step @p276 :rule cnf_or_pos :args (@t162))
% 0.37/0.60  (step @p277 :rule reordering :premises (@p276) :args ((or @t4 @t161 (not @t162))))
% 0.37/0.60  (step @p278 :rule chain_m_resolution :premises (@p277 @p4 @p275) :args (@t161 @t65 (@list @t4 @t162)))
% 0.37/0.60  (step @p279 :rule bool-double-not-elim :args (@t160))
% 0.37/0.60  (step @p280 :rule refl :args (@t164))
% 0.37/0.60  (step @p281 :rule refl :args (@t166))
% 0.37/0.60  (step @p282 :rule nary_cong :premises (@p281 @p280 @p279) :args ((or @t166 @t164 @t167)))
% 0.37/0.60  (assume-push @p555 @t165)
% 0.37/0.60  (assume-push @p556 @t163)
% 0.37/0.60  (assume-push @p557 @t161)
% 0.37/0.60  (step @p241 :rule evaluate :args (@t157))
% 0.37/0.60  (step @p286 :rule symm :premises (@p556))
% 0.37/0.60  (step @p287 :rule trans :premises (@p286 @p555))
% 0.37/0.60  (step @p288 :rule true_intro :premises (@p287))
% 0.37/0.60  (step @p289 :rule false_intro :premises (@p278))
% 0.37/0.60  (step @p290 :rule symm :premises (@p289))
% 0.37/0.60  (step @p291 :rule trans :premises (@p290 @p288))
% 0.37/0.60  (step @p292 false :rule eq_resolve :premises (@p291 @p241))
% 0.37/0.60  (step-pop @p558 :rule scope :premises (@p292))
% 0.37/0.60  (step-pop @p559 :rule scope :premises (@p558))
% 0.37/0.60  (step-pop @p560 :rule scope :premises (@p559))
% 0.37/0.60  (step @p293 :rule process_scope :premises (@p560) :args (false))
% 0.37/0.60  (step @p297 :rule not_and :premises (@p293))
% 0.37/0.60  (step @p298 :rule eq_resolve :premises (@p297 @p282))
% 0.37/0.60  (step @p299 :rule and_elim :premises (@p27) :args (0))
% 0.37/0.60  (step @p300 :rule symm :premises (@p299))
% 0.37/0.60  (step @p301 :rule and_elim :premises (@p28) :args (0))
% 0.37/0.60  (step @p302 :rule symm :premises (@p301))
% 0.37/0.60  (step @p303 :rule instantiate :premises (@p118) :args ((@list @t47)))
% 0.37/0.60  (step @p304 :rule cnf_or_pos :args (@t171))
% 0.37/0.60  (step @p305 :rule reordering :premises (@p304) :args ((or @t168 @t169 @t170 @t163 (not @t171))))
% 0.37/0.60  (step @p306 :rule instantiate :premises (@p274) :args (@t172))
% 0.37/0.60  (step @p307 :rule cnf_or_pos :args (@t175))
% 0.37/0.60  (step @p308 :rule reordering :premises (@p307) :args ((or @t1 @t174 (not @t175))))
% 0.37/0.60  (step @p309 :rule chain_m_resolution :premises (@p308 @p1 @p306) :args (@t174 @t65 (@list @t1 @t175)))
% 0.37/0.60  (step @p310 :rule refl :args (@t177))
% 0.37/0.60  (step @p311 :rule bool-double-not-elim :args (@t173))
% 0.37/0.60  (step @p312 :rule refl :args (@t178))
% 0.37/0.60  (step @p313 :rule nary_cong :premises (@p312 @p311 @p310) :args ((or @t178 (not @t174) @t177)))
% 0.37/0.60  (assume-push @p561 @t170)
% 0.37/0.60  (assume-push @p562 @t176)
% 0.37/0.60  (assume-push @p563 @t174)
% 0.37/0.60  (step @p241 :rule evaluate :args (@t157))
% 0.37/0.60  (step @p317 :rule symm :premises (@p562))
% 0.37/0.60  (step @p318 :rule trans :premises (@p317 @p561))
% 0.37/0.60  (step @p319 :rule true_intro :premises (@p318))
% 0.37/0.60  (step @p320 :rule false_intro :premises (@p309))
% 0.37/0.60  (step @p321 :rule symm :premises (@p320))
% 0.37/0.60  (step @p322 :rule trans :premises (@p321 @p319))
% 0.37/0.60  (step @p323 false :rule eq_resolve :premises (@p322 @p241))
% 0.37/0.60  (step-pop @p564 :rule scope :premises (@p323))
% 0.37/0.60  (step-pop @p565 :rule scope :premises (@p564))
% 0.37/0.60  (step-pop @p566 :rule scope :premises (@p565))
% 0.37/0.60  (step @p324 :rule process_scope :premises (@p566) :args (false))
% 0.37/0.60  (assume-push @p567 @t170)
% 0.37/0.60  (assume-push @p568 @t174)
% 0.37/0.60  (assume-push @p569 @t176)
% 0.37/0.60  (step @p331 :rule and_intro :premises (@p567 @p569 @p309))
% 0.37/0.60  (step-pop @p570 :rule scope :premises (@p331))
% 0.37/0.60  (step-pop @p571 :rule scope :premises (@p570))
% 0.37/0.60  (step-pop @p572 :rule scope :premises (@p571))
% 0.37/0.60  (step @p332 :rule process_scope :premises (@p572) :args (@t179))
% 0.37/0.60  (step @p336 :rule implies_elim :premises (@p332))
% 0.37/0.60  (step @p337 :rule resolution :premises (@p336 @p324) :args (true @t179))
% 0.37/0.60  (step @p338 :rule not_and :premises (@p337))
% 0.37/0.60  (step @p339 :rule eq_resolve :premises (@p338 @p313))
% 0.37/0.60  (step @p340 :rule and_elim :premises (@p24) :args (0))
% 0.37/0.60  (step @p341 :rule symm :premises (@p340))
% 0.37/0.60  (step @p342 :rule instantiate :premises (@p131) :args ((@list tptp.a)))
% 0.37/0.60  (step @p343 :rule cnf_and_pos :args (@t180 0))
% 0.37/0.60  (step @p344 :rule reordering :premises (@p343) :args ((or @t156 @t181)))
% 0.37/0.60  (step @p345 :rule chain_m_resolution :premises (@p344 @p229) :args (@t181 @t64 (@list @t149)))
% 0.37/0.60  (step @p346 :rule cnf_or_pos :args (@t184))
% 0.37/0.60  (step @p347 :rule reordering :premises (@p346) :args ((or @t183 @t180 (not @t184))))
% 0.37/0.60  (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p342) :args (@t183 @t65 (@list @t180 @t184)))
% 0.37/0.60  (step @p349 :rule instantiate :premises (@p118) :args ((@list @t29)))
% 0.37/0.60  (step @p350 :rule cnf_or_pos :args (@t187))
% 0.37/0.60  (step @p351 :rule reordering :premises (@p350) :args ((or @t186 @t185 @t182 @t176 (not @t187))))
% 0.37/0.60  (step @p352 :rule eq-symm :args (@t53 tptp.fourth))
% 0.37/0.60  (step @p353 :rule eq-symm :args (@t48 tptp.first))
% 0.37/0.60  (step @p354 :rule eq-symm :args (@t47 tptp.second))
% 0.37/0.60  (step @p355 :rule eq-symm :args (@t29 tptp.third))
% 0.37/0.60  (step @p356 :rule nary_cong :premises (@p355 @p354 @p353 @p352) :args (@t54))
% 0.37/0.60  (step @p357 :rule cong :premises (@p356) :args (@t55))
% 0.37/0.60  (step @p358 :rule eq_resolve :premises (@p30 @p357))
% 0.37/0.60  (step @p359 :rule not_and :premises (@p358))
% 0.37/0.60  (step @p360 :rule instantiate :premises (@p274) :args ((@list tptp.c tptp.d)))
% 0.37/0.60  (step @p361 :rule cnf_or_pos :args (@t190))
% 0.37/0.60  (step @p362 :rule reordering :premises (@p361) :args ((or @t6 @t189 (not @t190))))
% 0.37/0.60  (step @p363 :rule chain_m_resolution :premises (@p362 @p6 @p360) :args (@t189 @t65 (@list @t6 @t190)))
% 0.37/0.60  (step @p364 :rule refl :args (@t192))
% 0.37/0.60  (step @p365 :rule bool-double-not-elim :args (@t188))
% 0.37/0.60  (step @p366 :rule nary_cong :premises (@p281 @p365 @p364) :args ((or @t166 (not @t189) @t192)))
% 0.37/0.60  (assume-push @p573 @t165)
% 0.37/0.60  (assume-push @p574 @t189)
% 0.37/0.60  (assume-push @p575 @t189)
% 0.37/0.60  (assume-push @p576 @t165)
% 0.37/0.60  (step @p371 :rule false_intro :premises (@p363))
% 0.37/0.60  (step @p372 :rule refl :args (@t53))
% 0.37/0.60  (step @p373 :rule cong :premises (@p573 @p372) :args (@t191))
% 0.37/0.60  (step @p374 :rule trans :premises (@p373 @p371))
% 0.37/0.60  (step @p375 :rule false_elim :premises (@p374))
% 0.37/0.60  (step-pop @p577 :rule scope :premises (@p375))
% 0.37/0.60  (step-pop @p578 :rule scope :premises (@p577))
% 0.37/0.60  (step @p376 :rule process_scope :premises (@p578) :args (@t192))
% 0.37/0.60  (step @p379 :rule and_intro :premises (@p363 @p573))
% 0.37/0.60  (step @p380 :rule modus_ponens :premises (@p379 @p376))
% 0.37/0.60  (step-pop @p579 :rule scope :premises (@p380))
% 0.37/0.60  (step-pop @p580 :rule scope :premises (@p579))
% 0.37/0.60  (step @p381 :rule process_scope :premises (@p580) :args (@t192))
% 0.37/0.60  (step @p384 :rule implies_elim :premises (@p381))
% 0.37/0.60  (step @p385 :rule cnf_and_neg :args (@t193))
% 0.37/0.60  (step @p386 :rule resolution :premises (@p385 @p384) :args (true @t193))
% 0.37/0.60  (step @p387 :rule eq_resolve :premises (@p386 @p366))
% 0.37/0.60  (step @p388 :rule instantiate :premises (@p274) :args ((@list tptp.b tptp.d)))
% 0.37/0.60  (step @p389 :rule cnf_or_pos :args (@t196))
% 0.37/0.60  (step @p390 :rule reordering :premises (@p389) :args ((or @t5 @t195 (not @t196))))
% 0.37/0.60  (step @p391 :rule chain_m_resolution :premises (@p390 @p5 @p388) :args (@t195 @t65 (@list @t5 @t196)))
% 0.37/0.60  (step @p392 :rule refl :args (@t198))
% 0.37/0.60  (step @p393 :rule bool-double-not-elim :args (@t194))
% 0.37/0.60  (step @p394 :rule nary_cong :premises (@p312 @p393 @p392) :args ((or @t178 (not @t195) @t198)))
% 0.37/0.60  (assume-push @p581 @t170)
% 0.37/0.60  (assume-push @p582 @t195)
% 0.37/0.60  (assume-push @p583 @t195)
% 0.37/0.60  (assume-push @p584 @t170)
% 0.37/0.60  (step @p399 :rule false_intro :premises (@p391))
% 0.37/0.60  (step @p372 :rule refl :args (@t53))
% 0.37/0.60  (step @p400 :rule cong :premises (@p581 @p372) :args (@t197))
% 0.37/0.60  (step @p401 :rule trans :premises (@p400 @p399))
% 0.37/0.60  (step @p402 :rule false_elim :premises (@p401))
% 0.37/0.60  (step-pop @p585 :rule scope :premises (@p402))
% 0.37/0.60  (step-pop @p586 :rule scope :premises (@p585))
% 0.37/0.60  (step @p403 :rule process_scope :premises (@p586) :args (@t198))
% 0.37/0.60  (step @p406 :rule and_intro :premises (@p391 @p581))
% 0.37/0.60  (step @p407 :rule modus_ponens :premises (@p406 @p403))
% 0.37/0.60  (step-pop @p587 :rule scope :premises (@p407))
% 0.37/0.60  (step-pop @p588 :rule scope :premises (@p587))
% 0.37/0.60  (step @p408 :rule process_scope :premises (@p588) :args (@t198))
% 0.37/0.60  (step @p411 :rule implies_elim :premises (@p408))
% 0.37/0.60  (step @p412 :rule cnf_and_neg :args (@t199))
% 0.37/0.60  (step @p413 :rule resolution :premises (@p412 @p411) :args (true @t199))
% 0.37/0.60  (step @p414 :rule eq_resolve :premises (@p413 @p394))
% 0.37/0.60  (step @p415 :rule reordering :premises (@p414) :args ((or @t178 @t198 @t194)))
% 0.37/0.60  (step @p416 :rule instantiate :premises (@p274) :args ((@list tptp.a tptp.d)))
% 0.37/0.60  (step @p417 :rule cnf_or_pos :args (@t202))
% 0.37/0.60  (step @p418 :rule reordering :premises (@p417) :args ((or @t3 @t201 (not @t202))))
% 0.37/0.60  (step @p419 :rule chain_m_resolution :premises (@p418 @p3 @p416) :args (@t201 @t65 (@list @t3 @t202)))
% 0.37/0.60  (step @p420 :rule refl :args (@t204))
% 0.37/0.60  (step @p421 :rule bool-double-not-elim :args (@t200))
% 0.37/0.60  (step @p422 :rule refl :args (@t205))
% 0.37/0.60  (step @p423 :rule nary_cong :premises (@p422 @p421 @p420) :args ((or @t205 (not @t201) @t204)))
% 0.37/0.60  (assume-push @p589 @t185)
% 0.37/0.60  (assume-push @p590 @t201)
% 0.37/0.60  (assume-push @p591 @t201)
% 0.37/0.60  (assume-push @p592 @t185)
% 0.37/0.60  (step @p428 :rule false_intro :premises (@p419))
% 0.37/0.60  (step @p372 :rule refl :args (@t53))
% 0.37/0.60  (step @p429 :rule cong :premises (@p589 @p372) :args (@t203))
% 0.37/0.60  (step @p430 :rule trans :premises (@p429 @p428))
% 0.37/0.60  (step @p431 :rule false_elim :premises (@p430))
% 0.37/0.60  (step-pop @p593 :rule scope :premises (@p431))
% 0.37/0.60  (step-pop @p594 :rule scope :premises (@p593))
% 0.37/0.60  (step @p432 :rule process_scope :premises (@p594) :args (@t204))
% 0.37/0.60  (step @p435 :rule and_intro :premises (@p419 @p589))
% 0.37/0.60  (step @p436 :rule modus_ponens :premises (@p435 @p432))
% 0.37/0.60  (step-pop @p595 :rule scope :premises (@p436))
% 0.37/0.60  (step-pop @p596 :rule scope :premises (@p595))
% 0.37/0.60  (step @p437 :rule process_scope :premises (@p596) :args (@t204))
% 0.37/0.60  (step @p440 :rule implies_elim :premises (@p437))
% 0.37/0.60  (step @p441 :rule cnf_and_neg :args (@t206))
% 0.37/0.60  (step @p442 :rule resolution :premises (@p441 @p440) :args (true @t206))
% 0.37/0.60  (step @p443 :rule eq_resolve :premises (@p442 @p423))
% 0.37/0.60  (step @p444 :rule instantiate :premises (@p118) :args ((@list @t53)))
% 0.37/0.60  (step @p445 :rule cnf_or_pos :args (@t208))
% 0.37/0.60  (step @p446 :rule reordering :premises (@p445) :args ((or @t207 @t191 @t197 @t203 (not @t208))))
% 0.37/0.60  (step @p447 :rule chain_m_resolution :premises (@p446 @p444 @p443 @p419 @p415 @p391 @p387 @p363 @p359 @p351 @p349 @p348 @p341 @p339 @p309 @p305 @p303 @p302 @p300 @p298 @p278) :args (@t166 (@list false true true true true true true true false false true true true true false false true true true true) (@list @t208 @t203 @t200 @t197 @t194 @t191 @t188 @t207 @t185 @t187 @t182 @t186 @t176 @t173 @t170 @t171 @t169 @t168 @t163 @t160)))
% 0.37/0.60  (step @p448 :rule and_elim :premises (@p28) :args (1))
% 0.37/0.60  (step @p449 :rule symm :premises (@p448))
% 0.37/0.60  (step @p450 :rule cnf_or_pos :args (@t211))
% 0.37/0.60  (step @p451 :rule reordering :premises (@p450) :args ((or @t209 @t165 @t100 @t210 (not @t211))))
% 0.37/0.60  (step @p452 :rule chain_m_resolution :premises (@p451 @p449 @p447 @p268 @p119) :args (@t210 @t152 (@list @t209 @t165 @t100 @t211)))
% 0.37/0.60  (step @p453 :rule cnf_or_pos :args (@t213))
% 0.37/0.60  (step @p454 :rule reordering :premises (@p453) :args ((or @t105 @t212 (not @t213))))
% 0.37/0.60  (step @p455 :rule chain_m_resolution :premises (@p454 @p452 @p111) :args (@t105 @t214 (@list @t210 @t213)))
% 0.37/0.60  (step @p456 :rule chain_m_resolution :premises (@p267 @p221 @p265 @p455 @p62) :args (@t95 @t152 (@list @t111 @t97 @t104 @t159)))
% 0.37/0.60  (step @p457 :rule refl :args (@t216))
% 0.37/0.60  (step @p458 :rule bool-double-not-elim :args (@t61))
% 0.37/0.60  (step @p459 :rule refl :args (@t96))
% 0.37/0.60  (step @p460 :rule nary_cong :premises (@p459 @p458 @p457) :args ((or @t96 (not @t62) @t216)))
% 0.37/0.60  (assume-push @p597 @t95)
% 0.37/0.60  (assume-push @p598 @t215)
% 0.37/0.60  (assume-push @p599 @t62)
% 0.37/0.60  (step @p241 :rule evaluate :args (@t157))
% 0.37/0.60  (step @p464 :rule symm :premises (@p598))
% 0.37/0.60  (step @p465 :rule trans :premises (@p464 @p597))
% 0.37/0.60  (step @p466 :rule true_intro :premises (@p465))
% 0.37/0.60  (step @p467 :rule false_intro :premises (@p61))
% 0.37/0.60  (step @p468 :rule symm :premises (@p467))
% 0.37/0.60  (step @p469 :rule trans :premises (@p468 @p466))
% 0.37/0.60  (step @p470 false :rule eq_resolve :premises (@p469 @p241))
% 0.37/0.60  (step-pop @p600 :rule scope :premises (@p470))
% 0.37/0.60  (step-pop @p601 :rule scope :premises (@p600))
% 0.37/0.60  (step-pop @p602 :rule scope :premises (@p601))
% 0.37/0.60  (step @p471 :rule process_scope :premises (@p602) :args (false))
% 0.37/0.60  (assume-push @p603 @t95)
% 0.37/0.60  (assume-push @p604 @t62)
% 0.37/0.60  (assume-push @p605 @t215)
% 0.37/0.60  (step @p478 :rule and_intro :premises (@p603 @p605 @p61))
% 0.37/0.60  (step-pop @p606 :rule scope :premises (@p478))
% 0.37/0.60  (step-pop @p607 :rule scope :premises (@p606))
% 0.37/0.60  (step-pop @p608 :rule scope :premises (@p607))
% 0.37/0.60  (step @p479 :rule process_scope :premises (@p608) :args (@t217))
% 0.37/0.60  (step @p483 :rule implies_elim :premises (@p479))
% 0.37/0.60  (step @p484 :rule resolution :premises (@p483 @p471) :args (true @t217))
% 0.37/0.60  (step @p485 :rule not_and :premises (@p484))
% 0.37/0.60  (step @p486 :rule eq_resolve :premises (@p485 @p460))
% 0.37/0.60  (step @p487 :rule chain_m_resolution :premises (@p486 @p456 @p61) :args (@t216 @t218 (@list @t95 @t61)))
% 0.37/0.60  (step @p488 :rule instantiate :premises (@p45) :args (@t172))
% 0.37/0.60  (step @p489 :rule cnf_or_pos :args (@t220))
% 0.37/0.60  (step @p490 :rule reordering :premises (@p489) :args ((or @t1 @t219 (not @t220))))
% 0.37/0.60  (step @p491 :rule chain_m_resolution :premises (@p490 @p1 @p488) :args (@t219 @t65 (@list @t1 @t220)))
% 0.37/0.60  (step @p492 :rule false_intro :premises (@p491))
% 0.37/0.60  (step @p493 :rule refl :args (@t52))
% 0.37/0.60  (step @p494 :rule cong :premises (@p229 @p493) :args (@t221))
% 0.37/0.60  (step @p495 :rule trans :premises (@p494 @p492))
% 0.37/0.60  (step @p496 :rule false_elim :premises (@p495))
% 0.37/0.60  (step @p497 :rule and_elim :premises (@p220) :args (2))
% 0.37/0.60  (step @p498 :rule instantiate :premises (@p497) :args ((@list tptp.b)))
% 0.37/0.60  (step @p499 :rule refl :args (@t212))
% 0.37/0.60  (step @p500 :rule nary_cong :premises (@p312 @p499 @p279) :args ((or @t178 @t212 @t167)))
% 0.37/0.60  (assume-push @p609 @t210)
% 0.37/0.60  (assume-push @p610 @t170)
% 0.37/0.60  (assume-push @p611 @t161)
% 0.37/0.60  (step @p241 :rule evaluate :args (@t157))
% 0.37/0.60  (step @p504 :rule symm :premises (@p610))
% 0.37/0.60  (step @p505 :rule trans :premises (@p504 @p609))
% 0.37/0.60  (step @p506 :rule true_intro :premises (@p505))
% 0.37/0.60  (step @p289 :rule false_intro :premises (@p278))
% 0.37/0.60  (step @p290 :rule symm :premises (@p289))
% 0.37/0.60  (step @p507 :rule trans :premises (@p290 @p506))
% 0.37/0.60  (step @p508 false :rule eq_resolve :premises (@p507 @p241))
% 0.37/0.60  (step-pop @p612 :rule scope :premises (@p508))
% 0.37/0.60  (step-pop @p613 :rule scope :premises (@p612))
% 0.37/0.60  (step-pop @p614 :rule scope :premises (@p613))
% 0.37/0.60  (step @p509 :rule process_scope :premises (@p614) :args (false))
% 0.37/0.60  (assume-push @p615 @t170)
% 0.37/0.60  (assume-push @p616 @t210)
% 0.37/0.60  (assume-push @p617 @t161)
% 0.37/0.60  (step @p516 :rule and_intro :premises (@p616 @p615 @p278))
% 0.37/0.60  (step-pop @p618 :rule scope :premises (@p516))
% 0.37/0.60  (step-pop @p619 :rule scope :premises (@p618))
% 0.37/0.60  (step-pop @p620 :rule scope :premises (@p619))
% 0.37/0.60  (step @p517 :rule process_scope :premises (@p620) :args (@t222))
% 0.37/0.60  (step @p521 :rule implies_elim :premises (@p517))
% 0.37/0.60  (step @p522 :rule resolution :premises (@p521 @p509) :args (true @t222))
% 0.37/0.61  (step @p523 :rule not_and :premises (@p522))
% 0.37/0.61  (step @p524 :rule eq_resolve :premises (@p523 @p500))
% 0.37/0.61  (step @p525 :rule chain_m_resolution :premises (@p524 @p452 @p278) :args (@t178 @t218 (@list @t210 @t160)))
% 0.37/0.61  (step @p526 :rule chain_m_resolution :premises (@p305 @p300 @p302 @p525 @p303) :args (@t163 @t152 (@list @t168 @t169 @t170 @t171)))
% 0.37/0.61  (step @p527 :rule cnf_or_pos :args (@t225))
% 0.37/0.61  (step @p528 :rule reordering :premises (@p527) :args ((or @t164 @t224 (not @t225))))
% 0.37/0.61  (step @p529 :rule chain_m_resolution :premises (@p528 @p526 @p498) :args (@t224 @t214 (@list @t163 @t225)))
% 0.37/0.61  (step @p530 :rule and_elim :premises (@p29) :args (0))
% 0.37/0.61  (step @p531 :rule symm :premises (@p530))
% 0.37/0.61  (step @p532 :rule cnf_or_pos :args (@t227))
% 0.37/0.61  (step @p533 :rule reordering :premises (@p532) :args ((or @t226 @t223 @t221 @t215 @t228)))
% 0.37/0.61  (step @p534 :rule chain_m_resolution :premises (@p533 @p531 @p529 @p496 @p487) :args (@t228 (@list true true true true) (@list @t226 @t223 @t221 @t215)))
% 0.37/0.61  (assume-push @p621 @t229)
% 0.37/0.61  (step @p536 :rule instantiate :premises (@p38) :args ((@list @t52)))
% 0.37/0.61  (step-pop @p622 :rule scope :premises (@p536))
% 0.37/0.61  (step @p537 :rule process_scope :premises (@p622) :args (@t227))
% 0.37/0.61  (step @p539 :rule implies_elim :premises (@p537))
% 0.37/0.61  (step @p540 false :rule chain_m_resolution :premises (@p539 @p534 @p38) :args (false @t65 (@list @t227 @t229)))
% 0.37/0.61  )
% 0.37/0.61  % SZS output end Proof
% 0.37/0.61  % cvc5 exiting
%------------------------------------------------------------------------------