%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO578+1 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:09 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO578+1 : TPTP v9.2.1. Released v5.5.0. % 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 : n026.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 : Wed Jun 3 00:21:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.k04_buttercup10100 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.b48_buttercup10110 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.b48_buttercup10108 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.b48_buttercup10107 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.b48_buttercup10104 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.b48_buttercup10102 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.b48_buttercup10098 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.k04_buttercup10622 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.b48_buttercup10109 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.k04_buttercup10620 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.b48_buttercup10111 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.k04_buttercup10619 (-> $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "X0" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "X1" $$unsorted)) % 0.37/0.62 (define @t3 () (@var "X2" $$unsorted)) % 0.37/0.62 (define @t4 () (@var "X3" $$unsorted)) % 0.37/0.62 (define @t5 () (@var "X4" $$unsorted)) % 0.37/0.62 (define @t6 () (@var "X5" $$unsorted)) % 0.37/0.62 (define @t7 () (@var "X6" $$unsorted)) % 0.37/0.62 (define @t8 () (@var "X7" $$unsorted)) % 0.37/0.62 (define @t9 () (@var "X8" $$unsorted)) % 0.37/0.62 (define @t10 () (@var "X16" $$unsorted)) % 0.37/0.62 (define @t11 () (@var "X15" $$unsorted)) % 0.37/0.62 (define @t12 () (@var "X14" $$unsorted)) % 0.37/0.62 (define @t13 () (@var "X13" $$unsorted)) % 0.37/0.62 (define @t14 () (@var "X12" $$unsorted)) % 0.37/0.62 (define @t15 () (@var "X11" $$unsorted)) % 0.37/0.62 (define @t16 () (@var "X10" $$unsorted)) % 0.37/0.62 (define @t17 () (@var "X9" $$unsorted)) % 0.37/0.62 (define @t18 () (@var "X18" $$unsorted)) % 0.37/0.62 (define @t19 () (@var "X17" $$unsorted)) % 0.37/0.62 (define @t20 () (@var "X26" $$unsorted)) % 0.37/0.62 (define @t21 () (@var "X25" $$unsorted)) % 0.37/0.62 (define @t22 () (@var "X24" $$unsorted)) % 0.37/0.62 (define @t23 () (@var "X23" $$unsorted)) % 0.37/0.62 (define @t24 () (@var "X22" $$unsorted)) % 0.37/0.62 (define @t25 () (@var "X21" $$unsorted)) % 0.37/0.62 (define @t26 () (@var "X20" $$unsorted)) % 0.37/0.62 (define @t27 () (@var "X19" $$unsorted)) % 0.37/0.62 (define @t28 () (@var "X28" $$unsorted)) % 0.37/0.62 (define @t29 () (@var "X27" $$unsorted)) % 0.37/0.62 (define @t30 () (@var "X36" $$unsorted)) % 0.37/0.62 (define @t31 () (@var "X35" $$unsorted)) % 0.37/0.62 (define @t32 () (@var "X34" $$unsorted)) % 0.37/0.62 (define @t33 () (@var "X33" $$unsorted)) % 0.37/0.62 (define @t34 () (@var "X32" $$unsorted)) % 0.37/0.62 (define @t35 () (@var "X31" $$unsorted)) % 0.37/0.62 (define @t36 () (@var "X30" $$unsorted)) % 0.37/0.62 (define @t37 () (@var "X29" $$unsorted)) % 0.37/0.62 (define @t38 () (@var "X38" $$unsorted)) % 0.37/0.62 (define @t39 () (@var "X37" $$unsorted)) % 0.37/0.62 (define @t40 () (@var "X46" $$unsorted)) % 0.37/0.62 (define @t41 () (@var "X45" $$unsorted)) % 0.37/0.62 (define @t42 () (@var "X44" $$unsorted)) % 0.37/0.62 (define @t43 () (@var "X43" $$unsorted)) % 0.37/0.62 (define @t44 () (@var "X42" $$unsorted)) % 0.37/0.62 (define @t45 () (@var "X41" $$unsorted)) % 0.37/0.62 (define @t46 () (@var "X40" $$unsorted)) % 0.37/0.62 (define @t47 () (@var "X39" $$unsorted)) % 0.37/0.62 (define @t48 () (@var "X54" $$unsorted)) % 0.37/0.62 (define @t49 () (@var "X53" $$unsorted)) % 0.37/0.62 (define @t50 () (@var "X52" $$unsorted)) % 0.37/0.62 (define @t51 () (@var "X51" $$unsorted)) % 0.37/0.62 (define @t52 () (@var "X50" $$unsorted)) % 0.37/0.62 (define @t53 () (@var "X49" $$unsorted)) % 0.37/0.62 (define @t54 () (@var "X48" $$unsorted)) % 0.37/0.62 (define @t55 () (@var "X47" $$unsorted)) % 0.37/0.62 (define @t56 () (@var "X56" $$unsorted)) % 0.37/0.62 (define @t57 () (@var "X55" $$unsorted)) % 0.37/0.62 (define @t58 () (@var "X58" $$unsorted)) % 0.37/0.62 (define @t59 () (@var "X57" $$unsorted)) % 0.37/0.62 (define @t60 () (@var "X60" $$unsorted)) % 0.37/0.62 (define @t61 () (@var "X59" $$unsorted)) % 0.37/0.62 (define @t62 () (@var "X62" $$unsorted)) % 0.37/0.62 (define @t63 () (tptp.k04_buttercup10100 @t62)) % 0.37/0.62 (define @t64 () (not @t63)) % 0.37/0.62 (define @t65 () (tptp.b48_buttercup10098 @t62)) % 0.37/0.62 (define @t66 () (and @t65 @t64)) % 0.37/0.62 (define @t67 () (@list @t62)) % 0.37/0.62 (define @t68 () (exists @t67 @t66)) % 0.37/0.62 (define @t69 () (@var "X61" $$unsorted)) % 0.37/0.62 (define @t70 () (tptp.b48_buttercup10098 @t69)) % 0.37/0.62 (define @t71 () (tptp.k04_buttercup10100 @t69)) % 0.37/0.62 (define @t72 () (@list @t69)) % 0.37/0.62 (define @t73 () (forall @t72 (=> @t71 @t70))) % 0.37/0.62 (define @t74 () (@var "X70" $$unsorted)) % 0.37/0.62 (define @t75 () (@var "X69" $$unsorted)) % 0.37/0.62 (define @t76 () (@var "X68" $$unsorted)) % 0.37/0.62 (define @t77 () (@var "X67" $$unsorted)) % 0.37/0.62 (define @t78 () (@var "X66" $$unsorted)) % 0.37/0.62 (define @t79 () (@var "X65" $$unsorted)) % 0.37/0.62 (define @t80 () (@var "X64" $$unsorted)) % 0.37/0.62 (define @t81 () (@var "X63" $$unsorted)) % 0.37/0.62 (define @t82 () (@var "X72" $$unsorted)) % 0.37/0.62 (define @t83 () (@var "X71" $$unsorted)) % 0.37/0.62 (define @t84 () (@var "X73" $$unsorted)) % 0.37/0.62 (define @t85 () (@var "X81" $$unsorted)) % 0.37/0.62 (define @t86 () (@var "X80" $$unsorted)) % 0.37/0.62 (define @t87 () (@var "X79" $$unsorted)) % 0.37/0.62 (define @t88 () (@var "X78" $$unsorted)) % 0.37/0.62 (define @t89 () (@var "X77" $$unsorted)) % 0.37/0.62 (define @t90 () (@var "X76" $$unsorted)) % 0.37/0.62 (define @t91 () (@var "X75" $$unsorted)) % 0.37/0.62 (define @t92 () (@var "X74" $$unsorted)) % 0.37/0.62 (define @t93 () (@var "X82" $$unsorted)) % 0.37/0.62 (define @t94 () (@var "X83" $$unsorted)) % 0.37/0.62 (define @t95 () (@var "X84" $$unsorted)) % 0.37/0.62 (define @t96 () (@var "X85" $$unsorted)) % 0.37/0.62 (define @t97 () (@var "X86" $$unsorted)) % 0.37/0.62 (define @t98 () (@var "X87" $$unsorted)) % 0.37/0.62 (define @t99 () (@var "X88" $$unsorted)) % 0.37/0.62 (define @t100 () (@var "X89" $$unsorted)) % 0.37/0.62 (define @t101 () (@var "X90" $$unsorted)) % 0.37/0.62 (define @t102 () (@var "X91" $$unsorted)) % 0.37/0.62 (define @t103 () (@var "X92" $$unsorted)) % 0.37/0.62 (define @t104 () (@var "X93" $$unsorted)) % 0.37/0.62 (define @t105 () (@var "X94" $$unsorted)) % 0.37/0.62 (define @t106 () (@var "X95" $$unsorted)) % 0.37/0.62 (define @t107 () (@var "X96" $$unsorted)) % 0.37/0.62 (define @t108 () (@var "X97" $$unsorted)) % 0.37/0.62 (define @t109 () (@var "X98" $$unsorted)) % 0.37/0.62 (define @t110 () (@var "X99" $$unsorted)) % 0.37/0.62 (define @t111 () (@var "X100" $$unsorted)) % 0.37/0.62 (define @t112 () (@var "X101" $$unsorted)) % 0.37/0.62 (define @t113 () (@var "X102" $$unsorted)) % 0.37/0.62 (define @t114 () (@var "X103" $$unsorted)) % 0.37/0.62 (define @t115 () (@var "X104" $$unsorted)) % 0.37/0.62 (define @t116 () (@var "X105" $$unsorted)) % 0.37/0.62 (define @t117 () (@var "X106" $$unsorted)) % 0.37/0.62 (define @t118 () (@var "X107" $$unsorted)) % 0.37/0.62 (define @t119 () (@var "X108" $$unsorted)) % 0.37/0.62 (define @t120 () (@var "X109" $$unsorted)) % 0.37/0.62 (define @t121 () (@var "X110" $$unsorted)) % 0.37/0.62 (define @t122 () (@var "X111" $$unsorted)) % 0.37/0.62 (define @t123 () (@var "X112" $$unsorted)) % 0.37/0.62 (define @t124 () (@var "X113" $$unsorted)) % 0.37/0.62 (define @t125 () (@var "X114" $$unsorted)) % 0.37/0.62 (define @t126 () (@var "X115" $$unsorted)) % 0.37/0.62 (define @t127 () (@var "X116" $$unsorted)) % 0.37/0.62 (define @t128 () (@var "X117" $$unsorted)) % 0.37/0.62 (define @t129 () (@var "X118" $$unsorted)) % 0.37/0.62 (define @t130 () (@var "X119" $$unsorted)) % 0.37/0.62 (define @t131 () (@var "X120" $$unsorted)) % 0.37/0.62 (define @t132 () (@var "X121" $$unsorted)) % 0.37/0.62 (define @t133 () (@var "X122" $$unsorted)) % 0.37/0.62 (define @t134 () (@var "X123" $$unsorted)) % 0.37/0.62 (define @t135 () (@var "X124" $$unsorted)) % 0.37/0.62 (define @t136 () (@var "X125" $$unsorted)) % 0.37/0.62 (define @t137 () (@var "X126" $$unsorted)) % 0.37/0.62 (define @t138 () (@var "X127" $$unsorted)) % 0.37/0.62 (define @t139 () (@var "X128" $$unsorted)) % 0.37/0.62 (define @t140 () (@var "X129" $$unsorted)) % 0.37/0.62 (define @t141 () (@var "X130" $$unsorted)) % 0.37/0.62 (define @t142 () (@var "X131" $$unsorted)) % 0.37/0.62 (define @t143 () (@var "X132" $$unsorted)) % 0.37/0.62 (define @t144 () (@var "X133" $$unsorted)) % 0.37/0.62 (define @t145 () (@var "X134" $$unsorted)) % 0.37/0.62 (define @t146 () (@var "X135" $$unsorted)) % 0.37/0.62 (define @t147 () (@var "X136" $$unsorted)) % 0.37/0.62 (define @t148 () (@var "X137" $$unsorted)) % 0.37/0.62 (define @t149 () (@var "X138" $$unsorted)) % 0.37/0.62 (define @t150 () (@var "X139" $$unsorted)) % 0.37/0.62 (define @t151 () (@var "X140" $$unsorted)) % 0.37/0.62 (define @t152 () (@var "X141" $$unsorted)) % 0.37/0.62 (define @t153 () (@var "X149" $$unsorted)) % 0.37/0.62 (define @t154 () (not (tptp.b48_buttercup10098 @t153))) % 0.37/0.62 (define @t155 () (tptp.k04_buttercup10100 @t153)) % 0.37/0.62 (define @t156 () (forall (@list @t153) (=> @t155 @t154))) % 0.37/0.62 (define @t157 () (@var "X148" $$unsorted)) % 0.37/0.62 (define @t158 () (tptp.b48_buttercup10098 @t157)) % 0.37/0.62 (define @t159 () (tptp.k04_buttercup10100 @t157)) % 0.37/0.62 (define @t160 () (not @t159)) % 0.37/0.62 (define @t161 () (@var "X147" $$unsorted)) % 0.37/0.62 (define @t162 () (tptp.b48_buttercup10098 @t161)) % 0.37/0.62 (define @t163 () (not @t162)) % 0.37/0.62 (define @t164 () (tptp.k04_buttercup10100 @t161)) % 0.37/0.62 (define @t165 () (@var "X146" $$unsorted)) % 0.37/0.62 (define @t166 () (tptp.b48_buttercup10098 @t165)) % 0.37/0.62 (define @t167 () (tptp.k04_buttercup10100 @t165)) % 0.37/0.62 (define @t168 () (and @t167 @t166 @t164 @t163 @t160 @t158)) % 0.37/0.62 (define @t169 () (@list @t165 @t161 @t157)) % 0.37/0.62 (define @t170 () (exists @t169 @t168)) % 0.37/0.62 (define @t171 () (@var "X145" $$unsorted)) % 0.37/0.62 (define @t172 () (tptp.k04_buttercup10100 @t171)) % 0.37/0.62 (define @t173 () (not @t172)) % 0.37/0.62 (define @t174 () (tptp.b48_buttercup10098 @t171)) % 0.37/0.62 (define @t175 () (and @t174 @t173)) % 0.37/0.62 (define @t176 () (@list @t171)) % 0.37/0.62 (define @t177 () (exists @t176 @t175)) % 0.37/0.62 (define @t178 () (@var "X144" $$unsorted)) % 0.37/0.62 (define @t179 () (tptp.b48_buttercup10098 @t178)) % 0.37/0.62 (define @t180 () (tptp.k04_buttercup10100 @t178)) % 0.37/0.62 (define @t181 () (@list @t178)) % 0.37/0.62 (define @t182 () (forall @t181 (=> @t180 @t179))) % 0.37/0.62 (define @t183 () (and @t182 @t177)) % 0.37/0.62 (define @t184 () (@var "X143" $$unsorted)) % 0.37/0.62 (define @t185 () (tptp.b48_buttercup10098 @t184)) % 0.37/0.62 (define @t186 () (not @t185)) % 0.37/0.62 (define @t187 () (tptp.k04_buttercup10100 @t184)) % 0.37/0.62 (define @t188 () (and @t187 @t186)) % 0.37/0.62 (define @t189 () (@list @t184)) % 0.37/0.62 (define @t190 () (exists @t189 @t188)) % 0.37/0.62 (define @t191 () (@var "X142" $$unsorted)) % 0.37/0.62 (define @t192 () (tptp.k04_buttercup10100 @t191)) % 0.37/0.62 (define @t193 () (tptp.b48_buttercup10098 @t191)) % 0.37/0.62 (define @t194 () (forall (@list @t191) (=> @t193 @t192))) % 0.37/0.62 (define @t195 () (and @t194 @t190)) % 0.37/0.62 (define @t196 () (or @t195 @t183 @t170 @t156)) % 0.37/0.62 (define @t197 () (not @t196)) % 0.37/0.62 (define @t198 () (forall @t72 (or (not @t71) @t70))) % 0.37/0.62 (define @t199 () (forall @t181 (or (not @t180) @t179))) % 0.37/0.62 (define @t200 () (not @t65)) % 0.37/0.62 (define @t201 () (forall @t67 (not @t66))) % 0.37/0.62 (define @t202 () (not @t201)) % 0.37/0.62 (define @t203 () (forall @t67 (or @t200 @t63))) % 0.37/0.62 (define @t204 () (not @t174)) % 0.37/0.62 (define @t205 () (forall @t176 (or @t204 @t172))) % 0.37/0.62 (define @t206 () (not @t205)) % 0.37/0.62 (define @t207 () (not @t199)) % 0.37/0.62 (define @t208 () (not @t158)) % 0.37/0.62 (define @t209 () (or @t159 @t208)) % 0.37/0.62 (define @t210 () (not @t164)) % 0.37/0.62 (define @t211 () (or @t210 @t162)) % 0.37/0.62 (define @t212 () (not @t166)) % 0.37/0.62 (define @t213 () (not @t167)) % 0.37/0.62 (define @t214 () (or @t213 @t212)) % 0.37/0.62 (define @t215 () (or @t214 @t211 @t209)) % 0.37/0.62 (define @t216 () (or @t213 @t212 @t210 @t162 @t159 @t208)) % 0.37/0.62 (define @t217 () (not @t160)) % 0.37/0.62 (define @t218 () (not @t163)) % 0.37/0.62 (define @t219 () (or @t213 @t212 @t210 @t218 @t217 @t208)) % 0.37/0.62 (define @t220 () (forall @t169 (not @t168))) % 0.37/0.62 (define @t221 () (not @t220)) % 0.37/0.62 (define @t222 () (forall @t176 (not @t175))) % 0.37/0.62 (define @t223 () (not @t222)) % 0.37/0.62 (define @t224 () (not @t187)) % 0.37/0.62 (define @t225 () (forall @t189 (not @t188))) % 0.37/0.62 (define @t226 () (not @t225)) % 0.37/0.62 (assume @p1 (forall (@list @t1) (=> (tptp.k04_buttercup10620 @t1) (tptp.k04_buttercup10619 @t1)))) % 0.37/0.62 (assume @p2 (forall (@list @t2) (=> (tptp.k04_buttercup10622 @t2) (tptp.k04_buttercup10619 @t2)))) % 0.37/0.62 (assume @p3 (forall (@list @t3) (=> (tptp.b48_buttercup10102 @t3) (tptp.b48_buttercup10098 @t3)))) % 0.37/0.62 (assume @p4 (forall (@list @t4) (=> (tptp.b48_buttercup10104 @t4) (tptp.b48_buttercup10098 @t4)))) % 0.37/0.62 (assume @p5 (forall (@list @t5) (=> (tptp.b48_buttercup10107 @t5) (tptp.b48_buttercup10098 @t5)))) % 0.37/0.62 (assume @p6 (forall (@list @t6) (=> (tptp.b48_buttercup10108 @t6) (tptp.b48_buttercup10098 @t6)))) % 0.37/0.62 (assume @p7 (forall (@list @t7) (=> (tptp.b48_buttercup10109 @t7) (tptp.b48_buttercup10098 @t7)))) % 0.37/0.62 (assume @p8 (forall (@list @t8) (=> (tptp.b48_buttercup10110 @t8) (tptp.b48_buttercup10098 @t8)))) % 0.37/0.62 (assume @p9 (forall (@list @t9) (=> (tptp.b48_buttercup10111 @t9) (tptp.b48_buttercup10098 @t9)))) % 0.37/0.62 (assume @p10 (or (exists (@list @t17 @t16 @t15) (and (tptp.k04_buttercup10100 @t17) (tptp.b48_buttercup10104 @t17) (tptp.k04_buttercup10100 @t16) (not (tptp.b48_buttercup10104 @t16)) (not (tptp.k04_buttercup10100 @t15)) (tptp.b48_buttercup10104 @t15))) (and (forall (@list @t14) (=> (tptp.b48_buttercup10104 @t14) (tptp.k04_buttercup10100 @t14))) (exists (@list @t13) (and (tptp.k04_buttercup10100 @t13) (not (tptp.b48_buttercup10104 @t13))))) (and (forall (@list @t12) (=> (tptp.k04_buttercup10100 @t12) (tptp.b48_buttercup10104 @t12))) (exists (@list @t11) (and (tptp.b48_buttercup10104 @t11) (not (tptp.k04_buttercup10100 @t11))))) (forall (@list @t10) (=> (tptp.k04_buttercup10100 @t10) (not (tptp.b48_buttercup10104 @t10)))))) % 0.37/0.62 (assume @p11 (and (forall (@list @t19) (=> (tptp.b48_buttercup10109 @t19) (tptp.k04_buttercup10100 @t19))) (exists (@list @t18) (and (tptp.k04_buttercup10100 @t18) (not (tptp.b48_buttercup10109 @t18)))))) % 0.37/0.62 (assume @p12 (or (exists (@list @t27 @t26 @t25) (and (tptp.k04_buttercup10619 @t27) (tptp.b48_buttercup10111 @t27) (tptp.k04_buttercup10619 @t26) (not (tptp.b48_buttercup10111 @t26)) (not (tptp.k04_buttercup10619 @t25)) (tptp.b48_buttercup10111 @t25))) (and (forall (@list @t24) (=> (tptp.b48_buttercup10111 @t24) (tptp.k04_buttercup10619 @t24))) (exists (@list @t23) (and (tptp.k04_buttercup10619 @t23) (not (tptp.b48_buttercup10111 @t23))))) (and (forall (@list @t22) (=> (tptp.k04_buttercup10619 @t22) (tptp.b48_buttercup10111 @t22))) (exists (@list @t21) (and (tptp.b48_buttercup10111 @t21) (not (tptp.k04_buttercup10619 @t21))))) (forall (@list @t20) (=> (tptp.k04_buttercup10619 @t20) (not (tptp.b48_buttercup10111 @t20)))))) % 0.37/0.62 (assume @p13 (and (forall (@list @t29) (=> (tptp.k04_buttercup10619 @t29) (tptp.b48_buttercup10098 @t29))) (exists (@list @t28) (and (tptp.b48_buttercup10098 @t28) (not (tptp.k04_buttercup10619 @t28)))))) % 0.37/0.62 (assume @p14 (or (exists (@list @t37 @t36 @t35) (and (tptp.k04_buttercup10619 @t37) (tptp.b48_buttercup10109 @t37) (tptp.k04_buttercup10619 @t36) (not (tptp.b48_buttercup10109 @t36)) (not (tptp.k04_buttercup10619 @t35)) (tptp.b48_buttercup10109 @t35))) (and (forall (@list @t34) (=> (tptp.b48_buttercup10109 @t34) (tptp.k04_buttercup10619 @t34))) (exists (@list @t33) (and (tptp.k04_buttercup10619 @t33) (not (tptp.b48_buttercup10109 @t33))))) (and (forall (@list @t32) (=> (tptp.k04_buttercup10619 @t32) (tptp.b48_buttercup10109 @t32))) (exists (@list @t31) (and (tptp.b48_buttercup10109 @t31) (not (tptp.k04_buttercup10619 @t31))))) (forall (@list @t30) (=> (tptp.k04_buttercup10619 @t30) (not (tptp.b48_buttercup10109 @t30)))))) % 0.37/0.62 (assume @p15 (and (forall (@list @t39) (=> (tptp.b48_buttercup10111 @t39) (tptp.k04_buttercup10100 @t39))) (exists (@list @t38) (and (tptp.k04_buttercup10100 @t38) (not (tptp.b48_buttercup10111 @t38)))))) % 0.37/0.62 (assume @p16 (or (exists (@list @t47 @t46 @t45) (and (tptp.k04_buttercup10100 @t47) (tptp.b48_buttercup10108 @t47) (tptp.k04_buttercup10100 @t46) (not (tptp.b48_buttercup10108 @t46)) (not (tptp.k04_buttercup10100 @t45)) (tptp.b48_buttercup10108 @t45))) (and (forall (@list @t44) (=> (tptp.b48_buttercup10108 @t44) (tptp.k04_buttercup10100 @t44))) (exists (@list @t43) (and (tptp.k04_buttercup10100 @t43) (not (tptp.b48_buttercup10108 @t43))))) (and (forall (@list @t42) (=> (tptp.k04_buttercup10100 @t42) (tptp.b48_buttercup10108 @t42))) (exists (@list @t41) (and (tptp.b48_buttercup10108 @t41) (not (tptp.k04_buttercup10100 @t41))))) (forall (@list @t40) (=> (tptp.k04_buttercup10100 @t40) (not (tptp.b48_buttercup10108 @t40)))))) % 0.37/0.62 (assume @p17 (or (exists (@list @t55 @t54 @t53) (and (tptp.k04_buttercup10100 @t55) (tptp.b48_buttercup10110 @t55) (tptp.k04_buttercup10100 @t54) (not (tptp.b48_buttercup10110 @t54)) (not (tptp.k04_buttercup10100 @t53)) (tptp.b48_buttercup10110 @t53))) (and (forall (@list @t52) (=> (tptp.b48_buttercup10110 @t52) (tptp.k04_buttercup10100 @t52))) (exists (@list @t51) (and (tptp.k04_buttercup10100 @t51) (not (tptp.b48_buttercup10110 @t51))))) (and (forall (@list @t50) (=> (tptp.k04_buttercup10100 @t50) (tptp.b48_buttercup10110 @t50))) (exists (@list @t49) (and (tptp.b48_buttercup10110 @t49) (not (tptp.k04_buttercup10100 @t49))))) (forall (@list @t48) (=> (tptp.k04_buttercup10100 @t48) (not (tptp.b48_buttercup10110 @t48)))))) % 0.37/0.62 (assume @p18 (and (forall (@list @t57) (=> (tptp.b48_buttercup10104 @t57) (tptp.k04_buttercup10622 @t57))) (exists (@list @t56) (and (tptp.k04_buttercup10622 @t56) (not (tptp.b48_buttercup10104 @t56)))))) % 0.37/0.62 (assume @p19 (and (forall (@list @t59) (=> (tptp.b48_buttercup10110 @t59) (tptp.k04_buttercup10622 @t59))) (exists (@list @t58) (and (tptp.k04_buttercup10622 @t58) (not (tptp.b48_buttercup10110 @t58)))))) % 0.37/0.62 (assume @p20 (and (forall (@list @t61) (=> (tptp.b48_buttercup10108 @t61) (tptp.k04_buttercup10622 @t61))) (exists (@list @t60) (and (tptp.k04_buttercup10622 @t60) (not (tptp.b48_buttercup10108 @t60)))))) % 0.37/0.62 (assume @p21 (and @t73 @t68)) % 0.37/0.62 (assume @p22 (or (exists (@list @t81 @t80 @t79) (and (tptp.k04_buttercup10100 @t81) (tptp.b48_buttercup10102 @t81) (tptp.k04_buttercup10100 @t80) (not (tptp.b48_buttercup10102 @t80)) (not (tptp.k04_buttercup10100 @t79)) (tptp.b48_buttercup10102 @t79))) (and (forall (@list @t78) (=> (tptp.b48_buttercup10102 @t78) (tptp.k04_buttercup10100 @t78))) (exists (@list @t77) (and (tptp.k04_buttercup10100 @t77) (not (tptp.b48_buttercup10102 @t77))))) (and (forall (@list @t76) (=> (tptp.k04_buttercup10100 @t76) (tptp.b48_buttercup10102 @t76))) (exists (@list @t75) (and (tptp.b48_buttercup10102 @t75) (not (tptp.k04_buttercup10100 @t75))))) (forall (@list @t74) (=> (tptp.k04_buttercup10100 @t74) (not (tptp.b48_buttercup10102 @t74)))))) % 0.37/0.62 (assume @p23 (and (forall (@list @t83) (=> (tptp.b48_buttercup10102 @t83) (tptp.k04_buttercup10622 @t83))) (exists (@list @t82) (and (tptp.k04_buttercup10622 @t82) (not (tptp.b48_buttercup10102 @t82)))))) % 0.37/0.62 (assume @p24 (forall (@list @t84) (= (tptp.k04_buttercup10620 @t84) (tptp.b48_buttercup10107 @t84)))) % 0.37/0.62 (assume @p25 (or (exists (@list @t92 @t91 @t90) (and (tptp.k04_buttercup10100 @t92) (tptp.b48_buttercup10107 @t92) (tptp.k04_buttercup10100 @t91) (not (tptp.b48_buttercup10107 @t91)) (not (tptp.k04_buttercup10100 @t90)) (tptp.b48_buttercup10107 @t90))) (and (forall (@list @t89) (=> (tptp.b48_buttercup10107 @t89) (tptp.k04_buttercup10100 @t89))) (exists (@list @t88) (and (tptp.k04_buttercup10100 @t88) (not (tptp.b48_buttercup10107 @t88))))) (and (forall (@list @t87) (=> (tptp.k04_buttercup10100 @t87) (tptp.b48_buttercup10107 @t87))) (exists (@list @t86) (and (tptp.b48_buttercup10107 @t86) (not (tptp.k04_buttercup10100 @t86))))) (forall (@list @t85) (=> (tptp.k04_buttercup10100 @t85) (not (tptp.b48_buttercup10107 @t85)))))) % 0.37/0.62 (assume @p26 (exists (@list @t93) (tptp.k04_buttercup10100 @t93))) % 0.37/0.62 (assume @p27 (exists (@list @t94) (tptp.k04_buttercup10619 @t94))) % 0.37/0.62 (assume @p28 (exists (@list @t95) (tptp.k04_buttercup10620 @t95))) % 0.37/0.62 (assume @p29 (exists (@list @t96) (tptp.k04_buttercup10622 @t96))) % 0.37/0.62 (assume @p30 (exists (@list @t97) (tptp.b48_buttercup10098 @t97))) % 0.37/0.62 (assume @p31 (exists (@list @t98) (tptp.b48_buttercup10111 @t98))) % 0.37/0.62 (assume @p32 (exists (@list @t99) (tptp.b48_buttercup10110 @t99))) % 0.37/0.62 (assume @p33 (exists (@list @t100) (tptp.b48_buttercup10102 @t100))) % 0.37/0.62 (assume @p34 (exists (@list @t101) (tptp.b48_buttercup10104 @t101))) % 0.37/0.62 (assume @p35 (exists (@list @t102) (tptp.b48_buttercup10107 @t102))) % 0.37/0.62 (assume @p36 (exists (@list @t103) (tptp.b48_buttercup10108 @t103))) % 0.37/0.62 (assume @p37 (exists (@list @t104) (tptp.b48_buttercup10109 @t104))) % 0.37/0.62 (assume @p38 (forall (@list @t105) (=> (tptp.k04_buttercup10100 @t105) (not (tptp.k04_buttercup10619 @t105))))) % 0.37/0.62 (assume @p39 (forall (@list @t106) (=> (tptp.k04_buttercup10620 @t106) (not (tptp.k04_buttercup10622 @t106))))) % 0.37/0.62 (assume @p40 (forall (@list @t107) (=> (tptp.k04_buttercup10622 @t107) (not (tptp.k04_buttercup10620 @t107))))) % 0.37/0.62 (assume @p41 (forall (@list @t108) (=> (tptp.k04_buttercup10619 @t108) (not (tptp.k04_buttercup10100 @t108))))) % 0.37/0.62 (assume @p42 (forall (@list @t109) (=> (tptp.b48_buttercup10102 @t109) (not (tptp.b48_buttercup10104 @t109))))) % 0.37/0.62 (assume @p43 (forall (@list @t110) (=> (tptp.b48_buttercup10102 @t110) (not (tptp.b48_buttercup10107 @t110))))) % 0.37/0.62 (assume @p44 (forall (@list @t111) (=> (tptp.b48_buttercup10102 @t111) (not (tptp.b48_buttercup10108 @t111))))) % 0.37/0.62 (assume @p45 (forall (@list @t112) (=> (tptp.b48_buttercup10102 @t112) (not (tptp.b48_buttercup10109 @t112))))) % 0.37/0.62 (assume @p46 (forall (@list @t113) (=> (tptp.b48_buttercup10102 @t113) (not (tptp.b48_buttercup10110 @t113))))) % 0.37/0.62 (assume @p47 (forall (@list @t114) (=> (tptp.b48_buttercup10102 @t114) (not (tptp.b48_buttercup10111 @t114))))) % 0.37/0.62 (assume @p48 (forall (@list @t115) (=> (tptp.b48_buttercup10104 @t115) (not (tptp.b48_buttercup10102 @t115))))) % 0.37/0.62 (assume @p49 (forall (@list @t116) (=> (tptp.b48_buttercup10104 @t116) (not (tptp.b48_buttercup10107 @t116))))) % 0.37/0.62 (assume @p50 (forall (@list @t117) (=> (tptp.b48_buttercup10104 @t117) (not (tptp.b48_buttercup10108 @t117))))) % 0.37/0.62 (assume @p51 (forall (@list @t118) (=> (tptp.b48_buttercup10104 @t118) (not (tptp.b48_buttercup10109 @t118))))) % 0.37/0.62 (assume @p52 (forall (@list @t119) (=> (tptp.b48_buttercup10104 @t119) (not (tptp.b48_buttercup10110 @t119))))) % 0.37/0.62 (assume @p53 (forall (@list @t120) (=> (tptp.b48_buttercup10104 @t120) (not (tptp.b48_buttercup10111 @t120))))) % 0.37/0.62 (assume @p54 (forall (@list @t121) (=> (tptp.b48_buttercup10107 @t121) (not (tptp.b48_buttercup10102 @t121))))) % 0.37/0.62 (assume @p55 (forall (@list @t122) (=> (tptp.b48_buttercup10107 @t122) (not (tptp.b48_buttercup10104 @t122))))) % 0.37/0.62 (assume @p56 (forall (@list @t123) (=> (tptp.b48_buttercup10107 @t123) (not (tptp.b48_buttercup10108 @t123))))) % 0.37/0.62 (assume @p57 (forall (@list @t124) (=> (tptp.b48_buttercup10107 @t124) (not (tptp.b48_buttercup10109 @t124))))) % 0.37/0.62 (assume @p58 (forall (@list @t125) (=> (tptp.b48_buttercup10107 @t125) (not (tptp.b48_buttercup10110 @t125))))) % 0.37/0.62 (assume @p59 (forall (@list @t126) (=> (tptp.b48_buttercup10107 @t126) (not (tptp.b48_buttercup10111 @t126))))) % 0.37/0.62 (assume @p60 (forall (@list @t127) (=> (tptp.b48_buttercup10108 @t127) (not (tptp.b48_buttercup10102 @t127))))) % 0.37/0.62 (assume @p61 (forall (@list @t128) (=> (tptp.b48_buttercup10108 @t128) (not (tptp.b48_buttercup10104 @t128))))) % 0.37/0.62 (assume @p62 (forall (@list @t129) (=> (tptp.b48_buttercup10108 @t129) (not (tptp.b48_buttercup10107 @t129))))) % 0.37/0.62 (assume @p63 (forall (@list @t130) (=> (tptp.b48_buttercup10108 @t130) (not (tptp.b48_buttercup10109 @t130))))) % 0.37/0.62 (assume @p64 (forall (@list @t131) (=> (tptp.b48_buttercup10108 @t131) (not (tptp.b48_buttercup10110 @t131))))) % 0.37/0.62 (assume @p65 (forall (@list @t132) (=> (tptp.b48_buttercup10108 @t132) (not (tptp.b48_buttercup10111 @t132))))) % 0.37/0.62 (assume @p66 (forall (@list @t133) (=> (tptp.b48_buttercup10109 @t133) (not (tptp.b48_buttercup10102 @t133))))) % 0.37/0.62 (assume @p67 (forall (@list @t134) (=> (tptp.b48_buttercup10109 @t134) (not (tptp.b48_buttercup10104 @t134))))) % 0.37/0.62 (assume @p68 (forall (@list @t135) (=> (tptp.b48_buttercup10109 @t135) (not (tptp.b48_buttercup10107 @t135))))) % 0.37/0.62 (assume @p69 (forall (@list @t136) (=> (tptp.b48_buttercup10109 @t136) (not (tptp.b48_buttercup10108 @t136))))) % 0.37/0.62 (assume @p70 (forall (@list @t137) (=> (tptp.b48_buttercup10109 @t137) (not (tptp.b48_buttercup10110 @t137))))) % 0.37/0.62 (assume @p71 (forall (@list @t138) (=> (tptp.b48_buttercup10109 @t138) (not (tptp.b48_buttercup10111 @t138))))) % 0.37/0.62 (assume @p72 (forall (@list @t139) (=> (tptp.b48_buttercup10110 @t139) (not (tptp.b48_buttercup10102 @t139))))) % 0.37/0.62 (assume @p73 (forall (@list @t140) (=> (tptp.b48_buttercup10110 @t140) (not (tptp.b48_buttercup10104 @t140))))) % 0.37/0.62 (assume @p74 (forall (@list @t141) (=> (tptp.b48_buttercup10110 @t141) (not (tptp.b48_buttercup10107 @t141))))) % 0.37/0.62 (assume @p75 (forall (@list @t142) (=> (tptp.b48_buttercup10110 @t142) (not (tptp.b48_buttercup10108 @t142))))) % 0.37/0.62 (assume @p76 (forall (@list @t143) (=> (tptp.b48_buttercup10110 @t143) (not (tptp.b48_buttercup10109 @t143))))) % 0.37/0.62 (assume @p77 (forall (@list @t144) (=> (tptp.b48_buttercup10110 @t144) (not (tptp.b48_buttercup10111 @t144))))) % 0.37/0.62 (assume @p78 (forall (@list @t145) (=> (tptp.b48_buttercup10111 @t145) (not (tptp.b48_buttercup10102 @t145))))) % 0.37/0.62 (assume @p79 (forall (@list @t146) (=> (tptp.b48_buttercup10111 @t146) (not (tptp.b48_buttercup10104 @t146))))) % 0.37/0.62 (assume @p80 (forall (@list @t147) (=> (tptp.b48_buttercup10111 @t147) (not (tptp.b48_buttercup10107 @t147))))) % 0.37/0.62 (assume @p81 (forall (@list @t148) (=> (tptp.b48_buttercup10111 @t148) (not (tptp.b48_buttercup10108 @t148))))) % 0.37/0.62 (assume @p82 (forall (@list @t149) (=> (tptp.b48_buttercup10111 @t149) (not (tptp.b48_buttercup10109 @t149))))) % 0.37/0.62 (assume @p83 (forall (@list @t150) (=> (tptp.b48_buttercup10111 @t150) (not (tptp.b48_buttercup10110 @t150))))) % 0.37/0.62 (assume @p84 (forall (@list @t151) (=> (tptp.k04_buttercup10619 @t151) (or (tptp.k04_buttercup10620 @t151) (tptp.k04_buttercup10622 @t151))))) % 0.37/0.62 (assume @p85 (forall (@list @t152) (=> (tptp.b48_buttercup10098 @t152) (or (tptp.b48_buttercup10102 @t152) (tptp.b48_buttercup10104 @t152) (tptp.b48_buttercup10107 @t152) (tptp.b48_buttercup10108 @t152) (tptp.b48_buttercup10109 @t152) (tptp.b48_buttercup10110 @t152) (tptp.b48_buttercup10111 @t152))))) % 0.37/0.62 (assume @p86 @t197) % 0.37/0.62 (assume @p87 true) % 0.37/0.62 (step @p88 :rule bool-impl-elim :args (@t71 @t70)) % 0.37/0.62 (step @p89 :rule cong :premises (@p88) :args (@t73)) % 0.37/0.62 (step @p90 :rule and_elim :premises (@p21) :args (0)) % 0.37/0.62 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.37/0.62 (step @p92 :rule alpha_equiv :args (@t198 (@list @t69) (@list @t178))) % 0.37/0.62 (step @p93 :rule equiv_elim1 :premises (@p92)) % 0.37/0.62 (step @p94 :rule reordering :premises (@p93) :args ((or @t199 (not @t198)))) % 0.37/0.62 (step @p95 :rule chain_m_resolution :premises (@p94 @p91) :args (@t199 (@list false) (@list @t198))) % 0.37/0.62 (step @p96 :rule bool-double-not-elim :args (@t63)) % 0.37/0.62 (step @p97 :rule refl :args (@t200)) % 0.37/0.62 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t200 (not @t64)))) % 0.37/0.62 (step @p99 :rule bool-and-de-morgan :args (@t65 @t64 true)) % 0.37/0.62 (step @p100 :rule trans :premises (@p99 @p98)) % 0.37/0.62 (step @p101 :rule cong :premises (@p100) :args (@t201)) % 0.37/0.62 (step @p102 :rule cong :premises (@p101) :args (@t202)) % 0.37/0.62 (step @p103 :rule exists-elim :args ((= @t68 @t202))) % 0.37/0.62 (step @p104 :rule trans :premises (@p103 @p102)) % 0.37/0.62 (step @p105 :rule and_elim :premises (@p21) :args (1)) % 0.37/0.62 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.37/0.62 (step @p107 :rule alpha_equiv :args (@t203 (@list @t62) (@list @t171))) % 0.37/0.62 (step @p108 :rule equiv_elim2 :premises (@p107)) % 0.37/0.62 (step @p109 :rule chain_m_resolution :premises (@p108 @p106) :args (@t206 (@list true) (@list @t203))) % 0.37/0.62 (step @p110 :rule bool-double-not-elim :args (@t205)) % 0.37/0.62 (step @p111 :rule refl :args (@t207)) % 0.37/0.62 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t207 (not @t206)))) % 0.37/0.62 (step @p113 :rule bool-impl-elim :args (@t155 @t154)) % 0.37/0.62 (step @p114 :rule cong :premises (@p113) :args (@t156)) % 0.37/0.62 (step @p115 :rule quant-miniscope-or :args ((= (forall @t169 @t215) (or (forall (@list @t165) @t214) (forall (@list @t161) @t211) (forall (@list @t157) @t209))))) % 0.37/0.62 (step @p116 :rule aci_norm :args ((= @t216 @t215))) % 0.37/0.62 (step @p117 :rule cong :premises (@p116) :args ((forall @t169 @t216))) % 0.37/0.62 (step @p118 :rule trans :premises (@p117 @p115)) % 0.37/0.62 (step @p119 :rule refl :args (@t208)) % 0.37/0.62 (step @p120 :rule bool-double-not-elim :args (@t159)) % 0.37/0.62 (step @p121 :rule bool-double-not-elim :args (@t162)) % 0.37/0.62 (step @p122 :rule refl :args (@t210)) % 0.37/0.62 (step @p123 :rule refl :args (@t212)) % 0.37/0.62 (step @p124 :rule refl :args (@t213)) % 0.37/0.62 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p121 @p120 @p119) :args (@t219)) % 0.37/0.62 (step @p126 :rule aci_norm :args ((= (or @t213 (or @t212 (or @t210 (or @t218 (or @t217 @t208))))) @t219))) % 0.37/0.62 (step @p127 :rule trans :premises (@p126 @p125)) % 0.37/0.62 (step @p128 :rule bool-and-de-morgan :args (@t160 @t158 true)) % 0.37/0.62 (step @p129 :rule refl :args (@t218)) % 0.37/0.62 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t218 (not (and @t160 @t158))))) % 0.37/0.62 (step @p131 :rule bool-and-de-morgan :args (@t163 @t160 (and @t158))) % 0.37/0.62 (step @p132 :rule trans :premises (@p131 @p130)) % 0.37/0.62 (step @p133 :rule nary_cong :premises (@p122 @p132) :args ((or @t210 (not (and @t163 @t160 @t158))))) % 0.37/0.62 (step @p134 :rule bool-and-de-morgan :args (@t164 @t163 (and @t160 @t158))) % 0.37/0.62 (step @p135 :rule trans :premises (@p134 @p133)) % 0.37/0.62 (step @p136 :rule nary_cong :premises (@p123 @p135) :args ((or @t212 (not (and @t164 @t163 @t160 @t158))))) % 0.37/0.62 (step @p137 :rule bool-and-de-morgan :args (@t166 @t164 (and @t163 @t160 @t158))) % 0.37/0.62 (step @p138 :rule trans :premises (@p137 @p136)) % 0.37/0.62 (step @p139 :rule nary_cong :premises (@p124 @p138) :args ((or @t213 (not (and @t166 @t164 @t163 @t160 @t158))))) % 0.37/0.62 (step @p140 :rule bool-and-de-morgan :args (@t167 @t166 (and @t164 @t163 @t160 @t158))) % 0.37/0.62 (step @p141 :rule trans :premises (@p140 @p139)) % 0.37/0.62 (step @p142 :rule trans :premises (@p141 @p127)) % 0.37/0.62 (step @p143 :rule cong :premises (@p142) :args (@t220)) % 0.37/0.62 (step @p144 :rule trans :premises (@p143 @p118)) % 0.37/0.62 (step @p145 :rule cong :premises (@p144) :args (@t221)) % 0.37/0.62 (step @p146 :rule exists-elim :args ((= @t170 @t221))) % 0.37/0.62 (step @p147 :rule trans :premises (@p146 @p145)) % 0.37/0.62 (step @p148 :rule bool-double-not-elim :args (@t172)) % 0.37/0.62 (step @p149 :rule refl :args (@t204)) % 0.37/0.62 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t204 (not @t173)))) % 0.37/0.62 (step @p151 :rule bool-and-de-morgan :args (@t174 @t173 true)) % 0.37/0.62 (step @p152 :rule trans :premises (@p151 @p150)) % 0.37/0.62 (step @p153 :rule cong :premises (@p152) :args (@t222)) % 0.37/0.62 (step @p154 :rule cong :premises (@p153) :args (@t223)) % 0.37/0.62 (step @p155 :rule exists-elim :args ((= @t177 @t223))) % 0.37/0.62 (step @p156 :rule trans :premises (@p155 @p154)) % 0.37/0.62 (step @p157 :rule bool-impl-elim :args (@t180 @t179)) % 0.37/0.62 (step @p158 :rule cong :premises (@p157) :args (@t182)) % 0.37/0.62 (step @p159 :rule nary_cong :premises (@p158 @p156) :args (@t183)) % 0.37/0.62 (step @p160 :rule bool-double-not-elim :args (@t185)) % 0.37/0.62 (step @p161 :rule refl :args (@t224)) % 0.37/0.62 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t224 (not @t186)))) % 0.37/0.62 (step @p163 :rule bool-and-de-morgan :args (@t187 @t186 true)) % 0.37/0.62 (step @p164 :rule trans :premises (@p163 @p162)) % 0.37/0.62 (step @p165 :rule cong :premises (@p164) :args (@t225)) % 0.37/0.62 (step @p166 :rule cong :premises (@p165) :args (@t226)) % 0.37/0.62 (step @p167 :rule exists-elim :args ((= @t190 @t226))) % 0.37/0.62 (step @p168 :rule trans :premises (@p167 @p166)) % 0.37/0.62 (step @p169 :rule bool-impl-elim :args (@t193 @t192)) % 0.37/0.62 (step @p170 :rule cong :premises (@p169) :args (@t194)) % 0.37/0.62 (step @p171 :rule nary_cong :premises (@p170 @p168) :args (@t195)) % 0.37/0.62 (step @p172 :rule nary_cong :premises (@p171 @p159 @p147 @p114) :args (@t196)) % 0.37/0.62 (step @p173 :rule cong :premises (@p172) :args (@t197)) % 0.37/0.62 (step @p174 :rule eq_resolve :premises (@p86 @p173)) % 0.37/0.62 (step @p175 :rule not_or_elim :premises (@p174) :args (1)) % 0.37/0.62 (step @p176 :rule not_and :premises (@p175)) % 0.37/0.62 (step @p177 :rule eq_resolve :premises (@p176 @p112)) % 0.37/0.62 (step @p178 :rule reordering :premises (@p177) :args ((or @t205 @t207))) % 0.37/0.62 (step @p179 false :rule chain_m_resolution :premises (@p178 @p109 @p95) :args (false (@list true false) (@list @t205 @t199))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------