0.03/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n031.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 1920
0.12/0.33	% WCLimit  : 240
0.12/0.33	% DateTime : Fri Sep  5 17:15:52 EDT 2025
0.12/0.33	% CPUTime  : 
0.19/0.49	%----Proving TF0_NAR, FOF, or CNF
171.36/171.73	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 12...
171.36/171.73	--- Run --no-e-matching --full-saturate-quant at 4...
171.36/171.73	--- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 4...
171.36/171.73	--- Run --finite-model-find --uf-ss=no-minimal at 4...
171.36/171.73	--- Run --multi-trigger-when-single --full-saturate-quant at 24...
171.36/171.73	--- Run --trigger-sel=max --full-saturate-quant at 12...
171.36/171.73	--- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 26...
171.36/171.73	--- Run --multi-trigger-cache --full-saturate-quant at 12...
171.36/171.73	--- Run --prenex-quant=none --full-saturate-quant at 24...
171.36/171.73	--- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 12...
171.36/171.73	--- Run --relevant-triggers --full-saturate-quant at 24...
171.36/171.73	--- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 12...
171.36/171.73	--- Run --pre-skolem-quant=on --full-saturate-quant at 12...
171.36/171.73	% SZS status Theorem
171.36/171.73	% SZS output start Proof
171.36/171.73	(
171.36/171.73	(declare-type $$unsorted ())
171.36/171.73	(declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool))
171.36/171.73	(declare-const tptp.r2 (-> $$unsorted $$unsorted Bool))
171.36/171.73	(declare-const tptp.r1 (-> $$unsorted Bool))
171.36/171.73	(declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool))
171.36/171.73	(declare-const tptp.id (-> $$unsorted $$unsorted Bool))
171.36/171.73	(define @t1 () (@var "X41" $$unsorted))
171.36/171.73	(define @t2 () (@var "X38" $$unsorted))
171.36/171.73	(define @t3 () (@var "X43" $$unsorted))
171.36/171.73	(define @t4 () (@var "X40" $$unsorted))
171.36/171.73	(define @t5 () (@var "X39" $$unsorted))
171.36/171.73	(define @t6 () (tptp.r4 @t2 @t5 @t4))
171.36/171.73	(define @t7 () (@var "X42" $$unsorted))
171.36/171.73	(define @t8 () (tptp.r4 @t1 @t7 @t3))
171.36/171.73	(define @t9 () (@var "Y16" $$unsorted))
171.36/171.73	(define @t10 () (@var "Y9" $$unsorted))
171.36/171.73	(define @t11 () (@var "X4" $$unsorted))
171.36/171.73	(define @t12 () (@var "X27" $$unsorted))
171.36/171.73	(define @t13 () (@var "X26" $$unsorted))
171.36/171.73	(define @t14 () (tptp.r1 @t13))
171.36/171.73	(define @t15 () (tptp.r1 @t12))
171.36/171.73	(define @t16 () (@var "X22" $$unsorted))
171.36/171.73	(define @t17 () (@var "X21" $$unsorted))
171.36/171.73	(define @t18 () (@var "X35" $$unsorted))
171.36/171.73	(define @t19 () (@var "X32" $$unsorted))
171.36/171.73	(define @t20 () (@var "X36" $$unsorted))
171.36/171.73	(define @t21 () (@var "X33" $$unsorted))
171.36/171.73	(define @t22 () (@var "X37" $$unsorted))
171.36/171.73	(define @t23 () (@var "X34" $$unsorted))
171.36/171.73	(define @t24 () (tptp.r3 @t18 @t20 @t22))
171.36/171.73	(define @t25 () (tptp.r3 @t19 @t21 @t23))
171.36/171.73	(define @t26 () (@var "Y23" $$unsorted))
171.36/171.73	(define @t27 () (@var "X18" $$unsorted))
171.36/171.73	(define @t28 () (tptp.id @t27 @t26))
171.36/171.73	(define @t29 () (@var "X17" $$unsorted))
171.36/171.73	(define @t30 () (@var "X16" $$unsorted))
171.36/171.73	(define @t31 () (tptp.r4 @t30 @t29 @t27))
171.36/171.73	(define @t32 () (@var "X20" $$unsorted))
171.36/171.73	(define @t33 () (@var "X12" $$unsorted))
171.36/171.73	(define @t34 () (@var "X11" $$unsorted))
171.36/171.73	(define @t35 () (tptp.r2 @t34 @t33))
171.36/171.73	(define @t36 () (@var "Y21" $$unsorted))
171.36/171.73	(define @t37 () (tptp.id @t33 @t36))
171.36/171.73	(define @t38 () (@var "Y11" $$unsorted))
171.36/171.73	(define @t39 () (@var "Y1" $$unsorted))
171.36/171.73	(define @t40 () (@var "X6" $$unsorted))
171.36/171.73	(define @t41 () (@var "Y19" $$unsorted))
171.36/171.73	(define @t42 () (@var "X24" $$unsorted))
171.36/171.73	(define @t43 () (@var "X23" $$unsorted))
171.36/171.73	(define @t44 () (@var "X25" $$unsorted))
171.36/171.73	(define @t45 () (forall (@list @t43 @t42 @t44) (or (not (tptp.id @t42 @t44)) (tptp.id @t43 @t44) (not (tptp.id @t43 @t42)))))
171.36/171.73	(define @t46 () (@var "Y7" $$unsorted))
171.36/171.73	(define @t47 () (@var "X8" $$unsorted))
171.36/171.73	(define @t48 () (@var "X1" $$unsorted))
171.36/171.73	(define @t49 () (@var "Y4" $$unsorted))
171.36/171.73	(define @t50 () (@var "Y5" $$unsorted))
171.36/171.73	(define @t51 () (@var "Y15" $$unsorted))
171.36/171.73	(define @t52 () (@var "Y17" $$unsorted))
171.36/171.73	(define @t53 () (tptp.r1 @t52))
171.36/171.73	(define @t54 () (@var "Y8" $$unsorted))
171.36/171.73	(define @t55 () (@var "X5" $$unsorted))
171.36/171.73	(define @t56 () (tptp.r4 @t55 @t52 @t54))
171.36/171.73	(define @t57 () (and @t56 @t53))
171.36/171.73	(define @t58 () (@list @t52))
171.36/171.73	(define @t59 () (exists @t58 @t57))
171.36/171.73	(define @t60 () (@var "Y18" $$unsorted))
171.36/171.73	(define @t61 () (tptp.r1 @t60))
171.36/171.73	(define @t62 () (tptp.id @t54 @t60))
171.36/171.73	(define @t63 () (and @t62 @t61))
171.36/171.73	(define @t64 () (@list @t60))
171.36/171.73	(define @t65 () (exists @t64 @t63))
171.36/171.73	(define @t66 () (and @t65 @t59))
171.36/171.73	(define @t67 () (@list @t54))
171.36/171.73	(define @t68 () (exists @t67 @t66))
171.36/171.73	(define @t69 () (@list @t55))
171.36/171.73	(define @t70 () (forall @t69 @t68))
171.36/171.73	(define @t71 () (@var "X15" $$unsorted))
171.36/171.73	(define @t72 () (@var "X14" $$unsorted))
171.36/171.73	(define @t73 () (@var "X13" $$unsorted))
171.36/171.73	(define @t74 () (tptp.r3 @t73 @t72 @t71))
171.36/171.73	(define @t75 () (@var "Y22" $$unsorted))
171.36/171.73	(define @t76 () (tptp.id @t71 @t75))
171.36/171.73	(define @t77 () (@var "Y10" $$unsorted))
171.36/171.73	(define @t78 () (@var "X7" $$unsorted))
171.36/171.73	(define @t79 () (@var "Y20" $$unsorted))
171.36/171.73	(define @t80 () (@var "X31" $$unsorted))
171.36/171.73	(define @t81 () (@var "X29" $$unsorted))
171.36/171.73	(define @t82 () (@var "X28" $$unsorted))
171.36/171.73	(define @t83 () (tptp.r2 @t82 @t81))
171.36/171.73	(define @t84 () (@var "X30" $$unsorted))
171.36/171.73	(define @t85 () (tptp.r2 @t84 @t80))
171.36/171.73	(define @t86 () (@var "Y3" $$unsorted))
171.36/171.73	(define @t87 () (@var "Y14" $$unsorted))
171.36/171.73	(define @t88 () (@var "X2" $$unsorted))
171.36/171.73	(define @t89 () (@var "X9" $$unsorted))
171.36/171.73	(define @t90 () (@var "Y2" $$unsorted))
171.36/171.73	(define @t91 () (@list @t86))
171.36/171.73	(define @t92 () (@var "Y6" $$unsorted))
171.36/171.73	(define @t93 () (@list @t90))
171.36/171.73	(define @t94 () (@var "Y24" $$unsorted))
171.36/171.73	(define @t95 () (@var "X19" $$unsorted))
171.36/171.73	(define @t96 () (tptp.id @t95 @t94))
171.36/171.73	(define @t97 () (tptp.r1 @t95))
171.36/171.73	(define @t98 () (not @t97))
171.36/171.73	(define @t99 () (@list @t95))
171.36/171.73	(define @t100 () (forall @t99 (or (and (not @t96) @t98) (and @t97 @t96))))
171.36/171.73	(define @t101 () (@list @t94))
171.36/171.73	(define @t102 () (exists @t101 @t100))
171.36/171.73	(define @t103 () (@var "Y12" $$unsorted))
171.36/171.73	(define @t104 () (@var "X10" $$unsorted))
171.36/171.73	(define @t105 () (@var "Y13" $$unsorted))
171.36/171.73	(define @t106 () (@var "X3" $$unsorted))
171.36/171.73	(define @t107 () (tptp.r1 @t90))
171.36/171.73	(define @t108 () (tptp.r4 @t90 @t90 @t39))
171.36/171.73	(define @t109 () (and @t108 @t107))
171.36/171.73	(define @t110 () (exists @t93 @t109))
171.36/171.73	(define @t111 () (tptp.r1 @t86))
171.36/171.73	(define @t112 () (tptp.id @t39 @t86))
171.36/171.73	(define @t113 () (and @t112 @t111))
171.36/171.73	(define @t114 () (exists @t91 @t113))
171.36/171.73	(define @t115 () (and @t114 @t110))
171.36/171.73	(define @t116 () (@list @t39))
171.36/171.73	(define @t117 () (exists @t116 @t115))
171.36/171.73	(define @t118 () (not @t117))
171.36/171.73	(define @t119 () (forall @t101 (not @t100)))
171.36/171.73	(define @t120 () (@quantifiers_skolemize @t119 0))
171.36/171.73	(define @t121 () (tptp.id @t95 @t120))
171.36/171.73	(define @t122 () (forall @t99 (or (and (not @t121) @t98) (and @t97 @t121))))
171.36/171.73	(define @t123 () (not @t119))
171.36/171.73	(define @t124 () (@const 0 (-> $$unsorted $$unsorted)))
171.36/171.73	(define @t125 () (_ @t124 @t120))
171.36/171.73	(define @t126 () (@const 1 (-> $$unsorted $$unsorted)))
171.36/171.73	(define @t127 () (_ @t126 @t55))
171.36/171.73	(define @t128 () (tptp.r1 @t127))
171.36/171.73	(define @t129 () (forall @t69 @t128))
171.36/171.73	(define @t130 () (@list @t55))
171.36/171.73	(define @t131 () (@const 2 (-> $$unsorted $$unsorted)))
171.36/171.73	(define @t132 () (_ @t131 @t55))
171.36/171.73	(define @t133 () (tptp.r4 @t55 @t127 @t132))
171.36/171.73	(define @t134 () (forall @t69 @t133))
171.36/171.73	(define @t135 () (_ @t124 @t55))
171.36/171.73	(define @t136 () (tptp.r1 @t135))
171.36/171.73	(define @t137 () (forall @t69 @t136))
171.36/171.73	(define @t138 () (tptp.id @t132 @t135))
171.36/171.73	(define @t139 () (forall @t69 @t138))
171.36/171.73	(define @t140 () (and @t139 @t137 @t134 @t129))
171.36/171.73	(define @t141 () (not @t128))
171.36/171.73	(define @t142 () (not @t141))
171.36/171.73	(define @t143 () (not @t133))
171.36/171.73	(define @t144 () (not @t143))
171.36/171.73	(define @t145 () (not @t136))
171.36/171.73	(define @t146 () (not @t145))
171.36/171.73	(define @t147 () (not @t138))
171.36/171.73	(define @t148 () (not @t147))
171.36/171.73	(define @t149 () (and @t148 @t146 @t144 @t142))
171.36/171.73	(define @t150 () (forall @t69 (not (or @t147 @t145 @t143 @t141))))
171.36/171.73	(define @t151 () (@var "BOUND_VARIABLE_7742" $$unsorted))
171.36/171.73	(define @t152 () (not (tptp.r1 @t151)))
171.36/171.73	(define @t153 () (not (tptp.r4 @t55 @t151 @t54)))
171.36/171.73	(define @t154 () (@var "BOUND_VARIABLE_7735" $$unsorted))
171.36/171.73	(define @t155 () (not (tptp.r1 @t154)))
171.36/171.73	(define @t156 () (not (tptp.id @t54 @t154)))
171.36/171.73	(define @t157 () (or @t156 @t155 @t153 @t152))
171.36/171.73	(define @t158 () (@list @t54 @t154 @t151))
171.36/171.73	(define @t159 () (or @t153 @t152))
171.36/171.73	(define @t160 () (or @t156 @t155))
171.36/171.73	(define @t161 () (or @t160 @t159))
171.36/171.73	(define @t162 () (forall @t158 @t161))
171.36/171.73	(define @t163 () (forall (@list @t154 @t151) @t161))
171.36/171.73	(define @t164 () (forall (@list @t151) @t159))
171.36/171.73	(define @t165 () (forall (@list @t154) @t160))
171.36/171.73	(define @t166 () (or @t165 @t164))
171.36/171.73	(define @t167 () (forall @t58 (or (not @t56) (not @t53))))
171.36/171.73	(define @t168 () (forall @t64 (or (not @t62) (not @t61))))
171.36/171.73	(define @t169 () (not @t167))
171.36/171.73	(define @t170 () (not @t168))
171.36/171.73	(define @t171 () (and @t170 @t169))
171.36/171.73	(define @t172 () (forall @t67 (not @t171)))
171.36/171.73	(define @t173 () (not @t172))
171.36/171.73	(define @t174 () (forall @t58 (not @t57)))
171.36/171.73	(define @t175 () (not @t174))
171.36/171.73	(define @t176 () (forall @t64 (not @t63)))
171.36/171.73	(define @t177 () (not @t176))
171.36/171.73	(define @t178 () (@list @t120))
171.36/171.73	(define @t179 () (tptp.r1 @t125))
171.36/171.73	(define @t180 () (not @t179))
171.36/171.73	(define @t181 () (tptp.id @t125 @t120))
171.36/171.73	(define @t182 () (not @t181))
171.36/171.73	(define @t183 () (and @t182 @t180))
171.36/171.73	(define @t184 () (@list false))
171.36/171.73	(define @t185 () (and @t179 @t181))
171.36/171.73	(define @t186 () (or @t183 @t185))
171.36/171.73	(define @t187 () (@list true false))
171.36/171.73	(define @t188 () (_ @t131 @t120))
171.36/171.73	(define @t189 () (_ @t126 @t120))
171.36/171.73	(define @t190 () (tptp.r4 @t120 @t189 @t188))
171.36/171.73	(define @t191 () (not @t190))
171.36/171.73	(define @t192 () (tptp.r4 @t120 @t120 @t120))
171.36/171.73	(define @t193 () (not @t192))
171.36/171.73	(define @t194 () (and @t193 @t191))
171.36/171.73	(define @t195 () (@var "BOUND_VARIABLE_7910" $$unsorted))
171.36/171.73	(define @t196 () (not (tptp.r1 @t195)))
171.36/171.73	(define @t197 () (not (tptp.r4 @t195 @t195 @t39)))
171.36/171.73	(define @t198 () (@var "BOUND_VARIABLE_7903" $$unsorted))
171.36/171.73	(define @t199 () (not (tptp.r1 @t198)))
171.36/171.73	(define @t200 () (not (tptp.id @t39 @t198)))
171.36/171.73	(define @t201 () (or @t200 @t199 @t197 @t196))
171.36/171.73	(define @t202 () (@list @t39 @t198 @t195))
171.36/171.73	(define @t203 () (or @t197 @t196))
171.36/171.73	(define @t204 () (or @t200 @t199))
171.36/171.73	(define @t205 () (or @t204 @t203))
171.36/171.73	(define @t206 () (forall @t202 @t205))
171.36/171.73	(define @t207 () (forall (@list @t198 @t195) @t205))
171.36/171.73	(define @t208 () (forall (@list @t195) @t203))
171.36/171.73	(define @t209 () (forall (@list @t198) @t204))
171.36/171.73	(define @t210 () (or @t209 @t208))
171.36/171.73	(define @t211 () (forall @t93 (or (not @t108) (not @t107))))
171.36/171.73	(define @t212 () (forall @t91 (or (not @t112) (not @t111))))
171.36/171.73	(define @t213 () (not @t211))
171.36/171.73	(define @t214 () (not @t212))
171.36/171.73	(define @t215 () (and @t214 @t213))
171.36/171.73	(define @t216 () (forall @t116 (not @t215)))
171.36/171.73	(define @t217 () (not @t216))
171.36/171.73	(define @t218 () (forall @t93 (not @t109)))
171.36/171.73	(define @t219 () (not @t218))
171.36/171.73	(define @t220 () (forall @t91 (not @t113)))
171.36/171.73	(define @t221 () (not @t220))
171.36/171.73	(define @t222 () (tptp.r1 @t120))
171.36/171.73	(define @t223 () (not @t222))
171.36/171.73	(define @t224 () (tptp.id @t120 @t120))
171.36/171.73	(define @t225 () (not @t224))
171.36/171.73	(define @t226 () (and @t225 @t223))
171.36/171.73	(define @t227 () (and @t222 @t224))
171.36/171.73	(define @t228 () (or @t226 @t227))
171.36/171.73	(define @t229 () (or @t225 @t223 @t193 @t223))
171.36/171.73	(define @t230 () (and @t192 @t190))
171.36/171.73	(define @t231 () (tptp.r1 @t189))
171.36/171.73	(define @t232 () (not @t231))
171.36/171.73	(define @t233 () (tptp.id @t189 @t120))
171.36/171.73	(define @t234 () (not @t233))
171.36/171.73	(define @t235 () (and @t234 @t232))
171.36/171.73	(define @t236 () (and @t231 @t233))
171.36/171.73	(define @t237 () (or @t235 @t236))
171.36/171.73	(define @t238 () (tptp.id @t188 @t120))
171.36/171.73	(define @t239 () (not @t238))
171.36/171.73	(define @t240 () (or @t234 @t230 @t194 @t239 @t225))
171.36/171.73	(define @t241 () (tptp.id @t188 @t125))
171.36/171.73	(define @t242 () (not @t241))
171.36/171.73	(define @t243 () (or @t182 @t238 @t242))
171.36/171.73	(assume @p1 (forall (@list @t2 @t5 @t4 @t1 @t7 @t3) (or (not (tptp.id @t5 @t7)) (and @t8 @t6) (and (not @t8) (not @t6)) (not (tptp.id @t4 @t3)) (not (tptp.id @t2 @t1)))))
171.36/171.73	(assume @p2 (forall (@list @t11) (exists (@list @t10) (and (tptp.id @t10 @t11) (exists (@list @t9) (and (tptp.r3 @t11 @t9 @t10) (tptp.r1 @t9)))))))
171.36/171.73	(assume @p3 (forall (@list @t13 @t12) (or (and (not @t14) (not @t15)) (and @t15 @t14) (not (tptp.id @t13 @t12)))))
171.36/171.73	(assume @p4 (forall (@list @t17 @t16) (or (tptp.id @t16 @t17) (not (tptp.id @t17 @t16)))))
171.36/171.73	(assume @p5 (forall (@list @t19 @t21 @t23 @t18 @t20 @t22) (or (and @t24 @t25) (and (not @t25) (not @t24)) (not (tptp.id @t23 @t22)) (not (tptp.id @t21 @t20)) (not (tptp.id @t19 @t18)))))
171.36/171.73	(assume @p6 (forall (@list @t30 @t29) (exists (@list @t26) (forall (@list @t27) (or (and @t31 @t28) (and (not @t31) (not @t28)))))))
171.36/171.73	(assume @p7 (forall (@list @t32) (tptp.id @t32 @t32)))
171.36/171.73	(assume @p8 (forall (@list @t34) (exists (@list @t36) (forall (@list @t33) (or (and (not @t35) (not @t37)) (and @t37 @t35))))))
171.36/171.73	(assume @p9 (forall (@list @t40) (or (exists (@list @t41) (and (tptp.id @t40 @t41) (tptp.r1 @t41))) (exists (@list @t39 @t38) (and (tptp.id @t40 @t38) (tptp.r2 @t39 @t38))))))
171.36/171.73	(assume @p10 @t45)
171.36/171.73	(assume @p11 (forall (@list @t48 @t47) (exists (@list @t49) (and (exists (@list @t50) (and (tptp.id @t50 @t49) (exists (@list @t51) (and (tptp.r2 @t47 @t51) (tptp.r3 @t48 @t51 @t50))))) (exists (@list @t46) (and (tptp.r2 @t46 @t49) (tptp.r3 @t48 @t47 @t46)))))))
171.36/171.73	(assume @p12 @t70)
171.36/171.73	(assume @p13 (forall (@list @t73 @t72) (exists (@list @t75) (forall (@list @t71) (or (and (not @t74) (not @t76)) (and @t76 @t74))))))
171.36/171.73	(assume @p14 (forall (@list @t78 @t77) (or (forall (@list @t79) (or (not (tptp.id @t79 @t77)) (not (tptp.r1 @t79)))) (not (tptp.r2 @t78 @t77)))))
171.36/171.73	(assume @p15 (forall (@list @t82 @t81 @t84 @t80) (or (not (tptp.id @t82 @t84)) (and (not @t83) (not @t85)) (and @t85 @t83) (not (tptp.id @t81 @t80)))))
171.36/171.73	(assume @p16 (forall (@list @t88 @t89) (exists @t93 (and (exists (@list @t92) (and (tptp.r4 @t88 @t89 @t92) (tptp.r3 @t92 @t88 @t90))) (exists @t91 (and (tptp.id @t86 @t90) (exists (@list @t87) (and (tptp.r2 @t89 @t87) (tptp.r4 @t88 @t87 @t86)))))))))
171.36/171.73	(assume @p17 @t102)
171.36/171.73	(assume @p18 (forall (@list @t106 @t104) (or (tptp.id @t106 @t104) (forall (@list @t103) (or (forall (@list @t105) (or (not (tptp.r2 @t106 @t105)) (not (tptp.id @t105 @t103)))) (not (tptp.r2 @t104 @t103)))))))
171.36/171.73	(assume @p19 @t118)
171.36/171.73	(assume @p20 true)
171.36/171.73	(step @p21 :rule bool-double-not-elim :args (@t122))
171.36/171.73	; WARNING: add trust step for TRUST
171.36/171.73	; trust TRUST PREPROCESS_QUANTIFIERS_PP
171.36/171.73	(step @p22 :rule trust :premises () :args ((= @t123 (not (not @t122)))))
171.36/171.73	(step @p23 :rule exists-elim :args ((= @t102 @t123)))
171.36/171.73	(step @p24 :rule trans :premises (@p23 @p22 @p21))
171.36/171.73	(step @p25 :rule eq_resolve :premises (@p17 @p24))
171.36/171.73	(step @p26 :rule instantiate :premises (@p25) :args ((@list @t125)))
171.36/171.73	(step @p27 :rule alpha_equiv :args (@t129 @t130 (@list (@var "BOUND_VARIABLE_8168" $$unsorted))))
171.36/171.73	(step @p28 :rule alpha_equiv :args (@t134 @t130 (@list (@var "BOUND_VARIABLE_8161" $$unsorted))))
171.36/171.73	(step @p29 :rule alpha_equiv :args (@t137 @t130 (@list (@var "BOUND_VARIABLE_8155" $$unsorted))))
171.36/171.73	(step @p30 :rule alpha_equiv :args (@t139 @t130 (@list (@var "BOUND_VARIABLE_8148" $$unsorted))))
171.36/171.73	(step @p31 :rule nary_cong :premises (@p30 @p29 @p28 @p27) :args (@t140))
171.36/171.73	(step @p32 :rule quant-miniscope-and :args ((= (forall @t69 (and @t138 @t136 @t133 @t128)) @t140)))
171.36/171.73	(step @p33 :rule trans :premises (@p32 @p31))
171.36/171.73	(step @p34 :rule bool-double-not-elim :args (@t128))
171.36/171.73	(step @p35 :rule bool-double-not-elim :args (@t133))
171.36/171.73	(step @p36 :rule bool-double-not-elim :args (@t136))
171.36/171.73	(step @p37 :rule bool-double-not-elim :args (@t138))
171.36/171.73	(step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p34) :args (@t149))
171.36/171.73	(step @p39 :rule aci_norm :args ((= (and @t148 (and @t146 (and @t144 @t142))) @t149)))
171.36/171.73	(step @p40 :rule trans :premises (@p39 @p38))
171.36/171.73	(step @p41 :rule bool-or-de-morgan :args (@t143 @t141 false))
171.36/171.73	(step @p42 :rule refl :args (@t146))
171.36/171.73	(step @p43 :rule nary_cong :premises (@p42 @p41) :args ((and @t146 (not (or @t143 @t141)))))
171.36/171.73	(step @p44 :rule bool-or-de-morgan :args (@t145 @t143 (or @t141)))
171.36/171.73	(step @p45 :rule trans :premises (@p44 @p43))
171.36/171.73	(step @p46 :rule refl :args (@t148))
171.36/171.73	(step @p47 :rule nary_cong :premises (@p46 @p45) :args ((and @t148 (not (or @t145 @t143 @t141)))))
171.36/171.73	(step @p48 :rule bool-or-de-morgan :args (@t147 @t145 (or @t143 @t141)))
171.36/171.73	(step @p49 :rule trans :premises (@p48 @p47))
171.36/171.73	(step @p50 :rule trans :premises (@p49 @p40))
171.36/171.73	(step @p51 :rule cong :premises (@p50) :args (@t150))
171.36/171.73	(step @p52 :rule trans :premises (@p51 @p33))
171.36/171.73	; trust TRUST PREPROCESS_QUANTIFIERS_PP
171.36/171.73	(step @p53 :rule trust :premises () :args ((= (forall @t69 (not (forall @t158 @t157))) @t150)))
171.36/171.73	(step @p54 :rule aci_norm :args ((= @t161 @t157)))
171.36/171.73	(step @p55 :rule cong :premises (@p54) :args (@t162))
171.36/171.73	(step @p56 :rule quant-merge-prenex :args ((= (forall @t67 @t163) @t162)))
171.36/171.73	(step @p57 :rule alpha_equiv :args (@t164 (@list @t151) (@list @t52)))
171.36/171.73	(step @p58 :rule alpha_equiv :args (@t165 (@list @t154) (@list @t60)))
171.36/171.73	(step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t166))
171.36/171.73	(step @p60 :rule quant-miniscope-or :args ((= @t163 @t166)))
171.36/171.73	(step @p61 :rule trans :premises (@p60 @p59))
171.36/171.73	(step @p62 :rule symm :premises (@p61))
171.36/171.73	(step @p63 :rule cong :premises (@p62) :args ((forall @t67 (or @t168 @t167))))
171.36/171.73	(step @p64 :rule trans :premises (@p63 @p56))
171.36/171.73	(step @p65 :rule trans :premises (@p64 @p55))
171.36/171.73	(step @p66 :rule bool-double-not-elim :args (@t167))
171.36/171.73	(step @p67 :rule bool-double-not-elim :args (@t168))
171.36/171.73	(step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t170) (not @t169))))
171.36/171.73	(step @p69 :rule bool-and-de-morgan :args (@t170 @t169 true))
171.36/171.73	(step @p70 :rule trans :premises (@p69 @p68))
171.36/171.73	(step @p71 :rule cong :premises (@p70) :args (@t172))
171.36/171.73	(step @p72 :rule trans :premises (@p71 @p65))
171.36/171.73	(step @p73 :rule cong :premises (@p72) :args (@t173))
171.36/171.73	(step @p74 :rule exists-elim :args ((= (exists @t67 @t171) @t173)))
171.36/171.73	(step @p75 :rule trans :premises (@p74 @p73))
171.36/171.73	(step @p76 :rule bool-and-de-morgan :args (@t56 @t53 true))
171.36/171.73	(step @p77 :rule cong :premises (@p76) :args (@t174))
171.36/171.73	(step @p78 :rule cong :premises (@p77) :args (@t175))
171.36/171.73	(step @p79 :rule exists-elim :args ((= @t59 @t175)))
171.36/171.73	(step @p80 :rule trans :premises (@p79 @p78))
171.36/171.73	(step @p81 :rule bool-and-de-morgan :args (@t62 @t61 true))
171.36/171.73	(step @p82 :rule cong :premises (@p81) :args (@t176))
171.36/171.73	(step @p83 :rule cong :premises (@p82) :args (@t177))
171.36/171.73	(step @p84 :rule exists-elim :args ((= @t65 @t177)))
171.36/171.73	(step @p85 :rule trans :premises (@p84 @p83))
171.36/171.73	(step @p86 :rule nary_cong :premises (@p85 @p80) :args (@t66))
171.36/171.73	(step @p87 :rule cong :premises (@p86) :args (@t68))
171.36/171.73	(step @p88 :rule trans :premises (@p87 @p75))
171.36/171.73	(step @p89 :rule cong :premises (@p88) :args (@t70))
171.36/171.73	(step @p90 :rule trans :premises (@p89 @p53 @p52))
171.36/171.73	(step @p91 :rule eq_resolve :premises (@p12 @p90))
171.36/171.73	(step @p92 :rule and_elim :premises (@p91) :args (1))
171.36/171.73	(step @p93 :rule instantiate :premises (@p92) :args (@t178))
171.36/171.73	(step @p94 :rule cnf_and_pos :args (@t183 1))
171.36/171.73	(step @p95 :rule reordering :premises (@p94) :args ((or @t180 (not @t183))))
171.36/171.73	(step @p96 :rule chain_resolution :premises (@p95 @p93) :args (@t184 (@list @t179)))
171.36/171.73	(step @p97 :rule cnf_or_pos :args (@t186))
171.36/171.73	(step @p98 :rule reordering :premises (@p97) :args ((or @t183 @t185 (not @t186))))
171.36/171.73	(step @p99 :rule chain_resolution :premises (@p98 @p96 @p26) :args (@t187 (@list @t183 @t186)))
171.36/171.73	(step @p100 :rule cnf_and_pos :args (@t185 1))
171.36/171.73	(step @p101 :rule reordering :premises (@p100) :args ((or @t181 (not @t185))))
171.36/171.73	(step @p102 :rule chain_resolution :premises (@p101 @p99) :args (@t184 (@list @t185)))
171.36/171.73	(step @p103 :rule instantiate :premises (@p1) :args ((@list @t120 @t189 @t188 @t120 @t120 @t120)))
171.36/171.73	(step @p104 :rule and_elim :premises (@p91) :args (2))
171.36/171.73	(step @p105 :rule instantiate :premises (@p104) :args (@t178))
171.36/171.73	(step @p106 :rule cnf_and_pos :args (@t194 1))
171.36/171.73	(step @p107 :rule reordering :premises (@p106) :args ((or @t191 (not @t194))))
171.36/171.73	(step @p108 :rule chain_resolution :premises (@p107 @p105) :args (@t184 (@list @t190)))
171.36/171.73	(step @p109 :rule bool-double-not-elim :args ((forall @t202 @t201)))
171.36/171.73	(step @p110 :rule aci_norm :args ((= @t205 @t201)))
171.36/171.73	(step @p111 :rule cong :premises (@p110) :args (@t206))
171.36/171.73	(step @p112 :rule quant-merge-prenex :args ((= (forall @t116 @t207) @t206)))
171.36/171.73	(step @p113 :rule alpha_equiv :args (@t208 (@list @t195) (@list @t90)))
171.36/171.73	(step @p114 :rule alpha_equiv :args (@t209 (@list @t198) (@list @t86)))
171.36/171.73	(step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t210))
171.36/171.73	(step @p116 :rule quant-miniscope-or :args ((= @t207 @t210)))
171.36/171.73	(step @p117 :rule trans :premises (@p116 @p115))
171.36/171.73	(step @p118 :rule symm :premises (@p117))
171.36/171.73	(step @p119 :rule cong :premises (@p118) :args ((forall @t116 (or @t212 @t211))))
171.36/171.73	(step @p120 :rule trans :premises (@p119 @p112))
171.36/171.73	(step @p121 :rule trans :premises (@p120 @p111))
171.36/171.73	(step @p122 :rule bool-double-not-elim :args (@t211))
171.36/171.73	(step @p123 :rule bool-double-not-elim :args (@t212))
171.36/171.73	(step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t214) (not @t213))))
171.36/171.73	(step @p125 :rule bool-and-de-morgan :args (@t214 @t213 true))
171.36/171.73	(step @p126 :rule trans :premises (@p125 @p124))
171.36/171.73	(step @p127 :rule cong :premises (@p126) :args (@t216))
171.36/171.73	(step @p128 :rule trans :premises (@p127 @p121))
171.36/171.73	(step @p129 :rule cong :premises (@p128) :args (@t217))
171.36/171.73	(step @p130 :rule exists-elim :args ((= (exists @t116 @t215) @t217)))
171.36/171.73	(step @p131 :rule trans :premises (@p130 @p129))
171.36/171.73	(step @p132 :rule bool-and-de-morgan :args (@t108 @t107 true))
171.36/171.73	(step @p133 :rule cong :premises (@p132) :args (@t218))
171.36/171.73	(step @p134 :rule cong :premises (@p133) :args (@t219))
171.36/171.73	(step @p135 :rule exists-elim :args ((= @t110 @t219)))
171.36/171.73	(step @p136 :rule trans :premises (@p135 @p134))
171.36/171.73	(step @p137 :rule bool-and-de-morgan :args (@t112 @t111 true))
171.36/171.73	(step @p138 :rule cong :premises (@p137) :args (@t220))
171.36/171.73	(step @p139 :rule cong :premises (@p138) :args (@t221))
171.36/171.73	(step @p140 :rule exists-elim :args ((= @t114 @t221)))
171.36/171.73	(step @p141 :rule trans :premises (@p140 @p139))
171.36/171.73	(step @p142 :rule nary_cong :premises (@p141 @p136) :args (@t115))
171.36/171.73	(step @p143 :rule cong :premises (@p142) :args (@t117))
171.36/171.73	(step @p144 :rule trans :premises (@p143 @p131))
171.36/171.73	(step @p145 :rule cong :premises (@p144) :args (@t118))
171.36/171.73	(step @p146 :rule trans :premises (@p145 @p109))
171.36/171.73	(step @p147 :rule eq_resolve :premises (@p19 @p146))
171.36/171.73	(step @p148 :rule instantiate :premises (@p147) :args ((@list @t120 @t120 @t120)))
171.36/171.73	(step @p149 :rule instantiate :premises (@p25) :args (@t178))
171.36/171.73	(step @p150 :rule instantiate :premises (@p7) :args (@t178))
171.36/171.73	(step @p151 :rule cnf_and_pos :args (@t226 0))
171.36/171.73	(step @p152 :rule reordering :premises (@p151) :args ((or @t225 (not @t226))))
171.36/171.73	(step @p153 :rule chain_resolution :premises (@p152 @p150) :args (@t184 (@list @t224)))
171.36/171.73	(step @p154 :rule cnf_or_pos :args (@t228))
171.36/171.73	(step @p155 :rule reordering :premises (@p154) :args ((or @t226 @t227 (not @t228))))
171.36/171.73	(step @p156 :rule chain_resolution :premises (@p155 @p153 @p149) :args (@t187 (@list @t226 @t228)))
171.36/171.73	(step @p157 :rule cnf_and_pos :args (@t227 0))
171.36/171.73	(step @p158 :rule reordering :premises (@p157) :args ((or @t222 (not @t227))))
171.36/171.73	(step @p159 :rule chain_resolution :premises (@p158 @p156) :args (@t184 (@list @t227)))
171.36/171.73	(step @p160 :rule cnf_or_pos :args (@t229))
171.36/171.73	(step @p161 :rule factoring :premises (@p160))
171.36/171.73	(step @p162 :rule reordering :premises (@p161) :args ((or @t225 @t193 @t223 (not @t229))))
171.36/171.73	(step @p163 :rule chain_resolution :premises (@p162 @p150 @p159 @p148) :args ((@list false false false) (@list @t224 @t222 @t229)))
171.36/171.73	(step @p164 :rule cnf_and_pos :args (@t230 0))
171.36/171.73	(step @p165 :rule reordering :premises (@p164) :args ((or @t192 (not @t230))))
171.36/171.73	(step @p166 :rule chain_resolution :premises (@p165 @p163) :args ((@list true) (@list @t192)))
171.36/171.73	(step @p167 :rule instantiate :premises (@p25) :args ((@list @t189)))
171.36/171.73	(step @p168 :rule and_elim :premises (@p91) :args (3))
171.36/171.73	(step @p169 :rule instantiate :premises (@p168) :args (@t178))
171.36/171.73	(step @p170 :rule cnf_and_pos :args (@t235 1))
171.36/171.73	(step @p171 :rule reordering :premises (@p170) :args ((or @t232 (not @t235))))
171.36/171.73	(step @p172 :rule chain_resolution :premises (@p171 @p169) :args (@t184 (@list @t231)))
171.36/171.73	(step @p173 :rule cnf_or_pos :args (@t237))
171.36/171.73	(step @p174 :rule reordering :premises (@p173) :args ((or @t235 @t236 (not @t237))))
171.36/171.73	(step @p175 :rule chain_resolution :premises (@p174 @p172 @p167) :args (@t187 (@list @t235 @t237)))
171.36/171.73	(step @p176 :rule cnf_and_pos :args (@t236 1))
171.36/171.73	(step @p177 :rule reordering :premises (@p176) :args ((or @t233 (not @t236))))
171.36/171.73	(step @p178 :rule chain_resolution :premises (@p177 @p175) :args (@t184 (@list @t236)))
171.36/171.73	(step @p179 :rule cnf_or_pos :args (@t240))
171.36/171.73	(step @p180 :rule reordering :premises (@p179) :args ((or @t225 @t234 @t230 @t194 @t239 (not @t240))))
171.36/171.73	(step @p181 :rule chain_resolution :premises (@p180 @p150 @p178 @p166 @p108 @p103) :args ((@list false false true true false) (@list @t224 @t233 @t230 @t194 @t240)))
171.36/171.73	(step @p182 :rule and_elim :premises (@p91) :args (0))
171.36/171.73	(step @p183 :rule instantiate :premises (@p182) :args (@t178))
171.36/171.73	(step @p184 :rule cnf_or_pos :args (@t243))
171.36/171.73	(step @p185 :rule reordering :premises (@p184) :args ((or @t242 @t238 @t182 (not @t243))))
171.36/171.73	(step @p186 :rule chain_resolution :premises (@p185 @p183 @p181 @p102) :args ((@list false true false) (@list @t241 @t238 @t181)))
171.36/171.73	(assume-push @p193 @t45)
171.36/171.73	(step @p188 :rule instantiate :premises (@p10) :args ((@list @t188 @t125 @t120)))
171.36/171.73	(step-pop @p193 :rule scope :premises (@p188))
171.36/171.73	(step @p189 :rule process_scope :premises (@p193) :args (@t243))
171.36/171.73	(step @p191 :rule implies_elim :premises (@p189))
171.36/171.73	(step @p192 false :rule chain_resolution :premises (@p191 @p186 @p10) :args (@t187 (@list @t243 @t45)))
171.36/171.73	)
171.36/171.73	% SZS output end Proof
171.36/171.73	% cvc5 exiting
171.36/171.74	EOF