%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL945_9 : TPTP v9.3.1. Bugfixed v9.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:13 AM UTC 2026 % Result : Theorem 126.57s 129.41s % Output : Proof 126.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL945_9 : TPTP v9.3.1. Bugfixed v9.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n002.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 21:20:06 UTC 2026 % 0.10/0.37 % CPUTime : % 0.14/0.48 %----Proving TF0_NAR, FOF, or CNF % 126.57/129.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 126.57/129.41 --- Run --no-e-matching --full-saturate-quant at 6... % 126.57/129.41 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 126.57/129.41 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 126.57/129.41 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 126.57/129.41 --- Run --trigger-sel=max --full-saturate-quant at 15... % 126.57/129.41 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 126.57/129.41 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.57/129.41 --- Run --prenex-quant=none --full-saturate-quant at 30... % 126.57/129.41 % SZS status Theorem % 126.57/129.41 % SZS output start Proof % 126.57/129.41 ( % 126.57/129.41 (declare-sort |tptp.'$world'| 0) % 126.57/129.41 (declare-sort $$unsorted 0) % 126.57/129.41 (declare-const tptp.hollywood (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.city (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const |tptp.'$accessible_world'| (-> |tptp.'$world'| |tptp.'$world'| Bool)) % 126.57/129.41 (declare-const tptp.way (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.in (-> |tptp.'$world'| $$unsorted $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.down (-> |tptp.'$world'| $$unsorted $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.barrel (-> |tptp.'$world'| $$unsorted $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.old (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.dirty (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.lonely (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.white (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.car (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.chevy (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.event (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (declare-const tptp.street (-> |tptp.'$world'| $$unsorted Bool)) % 126.57/129.41 (define @t1 () (@var "V" |tptp.'$world'|)) % 126.57/129.41 (define @t2 () (@var "W" |tptp.'$world'|)) % 126.57/129.41 (define @t3 () (@list @t2)) % 126.57/129.41 (define @t4 () (@var "X7" $$unsorted)) % 126.57/129.41 (define @t5 () (@var "X8" $$unsorted)) % 126.57/129.41 (define @t6 () (@var "W1" |tptp.'$world'|)) % 126.57/129.41 (define @t7 () (tptp.in @t6 @t5 @t4)) % 126.57/129.41 (define @t8 () (@var "W0" |tptp.'$world'|)) % 126.57/129.42 (define @t9 () (|tptp.'$accessible_world'| @t8 @t6)) % 126.57/129.42 (define @t10 () (@list @t6)) % 126.57/129.42 (define @t11 () (forall @t10 (=> @t9 @t7))) % 126.57/129.42 (define @t12 () (@var "X9" $$unsorted)) % 126.57/129.42 (define @t13 () (tptp.down @t6 @t5 @t12)) % 126.57/129.42 (define @t14 () (forall @t10 (=> @t9 @t13))) % 126.57/129.42 (define @t15 () (@var "X10" $$unsorted)) % 126.57/129.42 (define @t16 () (tptp.barrel @t6 @t5 @t15)) % 126.57/129.42 (define @t17 () (forall @t10 (=> @t9 @t16))) % 126.57/129.42 (define @t18 () (tptp.old @t6 @t15)) % 126.57/129.42 (define @t19 () (forall @t10 (=> @t9 @t18))) % 126.57/129.42 (define @t20 () (tptp.dirty @t6 @t15)) % 126.57/129.42 (define @t21 () (forall @t10 (=> @t9 @t20))) % 126.57/129.42 (define @t22 () (tptp.white @t6 @t15)) % 126.57/129.42 (define @t23 () (forall @t10 (=> @t9 @t22))) % 126.57/129.42 (define @t24 () (tptp.car @t6 @t15)) % 126.57/129.42 (define @t25 () (forall @t10 (=> @t9 @t24))) % 126.57/129.42 (define @t26 () (tptp.chevy @t6 @t15)) % 126.57/129.42 (define @t27 () (forall @t10 (=> @t9 @t26))) % 126.57/129.42 (define @t28 () (tptp.lonely @t6 @t12)) % 126.57/129.42 (define @t29 () (forall @t10 (=> @t9 @t28))) % 126.57/129.42 (define @t30 () (tptp.way @t6 @t12)) % 126.57/129.42 (define @t31 () (forall @t10 (=> @t9 @t30))) % 126.57/129.42 (define @t32 () (tptp.street @t6 @t12)) % 126.57/129.42 (define @t33 () (forall @t10 (=> @t9 @t32))) % 126.57/129.42 (define @t34 () (tptp.event @t6 @t5)) % 126.57/129.42 (define @t35 () (forall @t10 (=> @t9 @t34))) % 126.57/129.42 (define @t36 () (tptp.city @t6 @t4)) % 126.57/129.42 (define @t37 () (forall @t10 (=> @t9 @t36))) % 126.57/129.42 (define @t38 () (tptp.hollywood @t6 @t4)) % 126.57/129.42 (define @t39 () (forall @t10 (=> @t9 @t38))) % 126.57/129.42 (define @t40 () (and @t39 @t37 @t35 @t33 @t31 @t29 @t27 @t25 @t23 @t21 @t19 @t17 @t14 @t11)) % 126.57/129.42 (define @t41 () (@list @t4 @t5 @t12 @t15)) % 126.57/129.42 (define @t42 () (exists @t41 @t40)) % 126.57/129.42 (define @t43 () (@var "X3" $$unsorted)) % 126.57/129.42 (define @t44 () (@var "X4" $$unsorted)) % 126.57/129.42 (define @t45 () (tptp.in @t6 @t44 @t43)) % 126.57/129.42 (define @t46 () (forall @t10 (=> @t9 @t45))) % 126.57/129.42 (define @t47 () (@var "X6" $$unsorted)) % 126.57/129.42 (define @t48 () (tptp.down @t6 @t44 @t47)) % 126.57/129.42 (define @t49 () (forall @t10 (=> @t9 @t48))) % 126.57/129.42 (define @t50 () (@var "X5" $$unsorted)) % 126.57/129.42 (define @t51 () (tptp.barrel @t6 @t44 @t50)) % 126.57/129.42 (define @t52 () (forall @t10 (=> @t9 @t51))) % 126.57/129.42 (define @t53 () (tptp.lonely @t6 @t47)) % 126.57/129.42 (define @t54 () (forall @t10 (=> @t9 @t53))) % 126.57/129.42 (define @t55 () (tptp.way @t6 @t47)) % 126.57/129.42 (define @t56 () (forall @t10 (=> @t9 @t55))) % 126.57/129.42 (define @t57 () (tptp.street @t6 @t47)) % 126.57/129.42 (define @t58 () (forall @t10 (=> @t9 @t57))) % 126.57/129.42 (define @t59 () (tptp.old @t6 @t50)) % 126.57/129.42 (define @t60 () (forall @t10 (=> @t9 @t59))) % 126.57/129.42 (define @t61 () (tptp.dirty @t6 @t50)) % 126.57/129.42 (define @t62 () (forall @t10 (=> @t9 @t61))) % 126.57/129.42 (define @t63 () (tptp.white @t6 @t50)) % 126.57/129.42 (define @t64 () (forall @t10 (=> @t9 @t63))) % 126.57/129.42 (define @t65 () (tptp.car @t6 @t50)) % 126.57/129.42 (define @t66 () (forall @t10 (=> @t9 @t65))) % 126.57/129.42 (define @t67 () (tptp.chevy @t6 @t50)) % 126.57/129.42 (define @t68 () (forall @t10 (=> @t9 @t67))) % 126.57/129.42 (define @t69 () (tptp.event @t6 @t44)) % 126.57/129.42 (define @t70 () (forall @t10 (=> @t9 @t69))) % 126.57/129.42 (define @t71 () (tptp.city @t6 @t43)) % 126.57/129.42 (define @t72 () (forall @t10 (=> @t9 @t71))) % 126.57/129.42 (define @t73 () (tptp.hollywood @t6 @t43)) % 126.57/129.42 (define @t74 () (forall @t10 (=> @t9 @t73))) % 126.57/129.42 (define @t75 () (and @t74 @t72 @t70 @t68 @t66 @t64 @t62 @t60 @t58 @t56 @t54 @t52 @t49 @t46)) % 126.57/129.42 (define @t76 () (@list @t43 @t44 @t50 @t47)) % 126.57/129.42 (define @t77 () (exists @t76 @t75)) % 126.57/129.42 (define @t78 () (=> @t77 @t42)) % 126.57/129.42 (define @t79 () (|tptp.'$accessible_world'| @t2 @t8)) % 126.57/129.42 (define @t80 () (=> @t79 @t78)) % 126.57/129.42 (define @t81 () (@list @t8)) % 126.57/129.42 (define @t82 () (forall @t81 @t80)) % 126.57/129.42 (define @t83 () (@var "Y" $$unsorted)) % 126.57/129.42 (define @t84 () (@var "Z" $$unsorted)) % 126.57/129.42 (define @t85 () (tptp.in @t6 @t84 @t83)) % 126.57/129.42 (define @t86 () (forall @t10 (=> @t9 @t85))) % 126.57/129.42 (define @t87 () (@var "X2" $$unsorted)) % 126.57/129.42 (define @t88 () (tptp.down @t6 @t84 @t87)) % 126.57/129.42 (define @t89 () (forall @t10 (=> @t9 @t88))) % 126.57/129.42 (define @t90 () (@var "X1" $$unsorted)) % 126.57/129.42 (define @t91 () (tptp.barrel @t6 @t84 @t90)) % 126.57/129.42 (define @t92 () (forall @t10 (=> @t9 @t91))) % 126.57/129.42 (define @t93 () (tptp.lonely @t6 @t87)) % 126.57/129.42 (define @t94 () (forall @t10 (=> @t9 @t93))) % 126.57/129.42 (define @t95 () (tptp.way @t6 @t87)) % 126.57/129.42 (define @t96 () (forall @t10 (=> @t9 @t95))) % 126.57/129.42 (define @t97 () (tptp.street @t6 @t87)) % 126.57/129.42 (define @t98 () (forall @t10 (=> @t9 @t97))) % 126.57/129.42 (define @t99 () (tptp.old @t6 @t90)) % 126.57/129.42 (define @t100 () (forall @t10 (=> @t9 @t99))) % 126.57/129.42 (define @t101 () (tptp.dirty @t6 @t90)) % 126.57/129.42 (define @t102 () (forall @t10 (=> @t9 @t101))) % 126.57/129.42 (define @t103 () (tptp.white @t6 @t90)) % 126.57/129.42 (define @t104 () (forall @t10 (=> @t9 @t103))) % 126.57/129.42 (define @t105 () (tptp.car @t6 @t90)) % 126.57/129.42 (define @t106 () (forall @t10 (=> @t9 @t105))) % 126.57/129.42 (define @t107 () (tptp.chevy @t6 @t90)) % 126.57/129.42 (define @t108 () (forall @t10 (=> @t9 @t107))) % 126.57/129.42 (define @t109 () (tptp.event @t6 @t84)) % 126.57/129.42 (define @t110 () (forall @t10 (=> @t9 @t109))) % 126.57/129.42 (define @t111 () (tptp.city @t6 @t83)) % 126.57/129.42 (define @t112 () (forall @t10 (=> @t9 @t111))) % 126.57/129.42 (define @t113 () (tptp.hollywood @t6 @t83)) % 126.57/129.42 (define @t114 () (forall @t10 (=> @t9 @t113))) % 126.57/129.42 (define @t115 () (and @t114 @t112 @t110 @t108 @t106 @t104 @t102 @t100 @t98 @t96 @t94 @t92 @t89 @t86)) % 126.57/129.42 (define @t116 () (@list @t83 @t84 @t90 @t87)) % 126.57/129.42 (define @t117 () (exists @t116 @t115)) % 126.57/129.42 (define @t118 () (@var "U" $$unsorted)) % 126.57/129.42 (define @t119 () (@var "V" $$unsorted)) % 126.57/129.42 (define @t120 () (tptp.in @t6 @t119 @t118)) % 126.57/129.42 (define @t121 () (forall @t10 (=> @t9 @t120))) % 126.57/129.42 (define @t122 () (@var "WW" $$unsorted)) % 126.57/129.42 (define @t123 () (tptp.down @t6 @t119 @t122)) % 126.57/129.42 (define @t124 () (forall @t10 (=> @t9 @t123))) % 126.57/129.42 (define @t125 () (@var "X" $$unsorted)) % 126.57/129.42 (define @t126 () (tptp.barrel @t6 @t119 @t125)) % 126.57/129.42 (define @t127 () (forall @t10 (=> @t9 @t126))) % 126.57/129.42 (define @t128 () (tptp.old @t6 @t125)) % 126.57/129.42 (define @t129 () (forall @t10 (=> @t9 @t128))) % 126.57/129.42 (define @t130 () (tptp.dirty @t6 @t125)) % 126.57/129.42 (define @t131 () (forall @t10 (=> @t9 @t130))) % 126.57/129.42 (define @t132 () (tptp.white @t6 @t125)) % 126.57/129.42 (define @t133 () (forall @t10 (=> @t9 @t132))) % 126.57/129.42 (define @t134 () (tptp.car @t6 @t125)) % 126.57/129.42 (define @t135 () (forall @t10 (=> @t9 @t134))) % 126.57/129.42 (define @t136 () (tptp.chevy @t6 @t125)) % 126.57/129.42 (define @t137 () (forall @t10 (=> @t9 @t136))) % 126.57/129.42 (define @t138 () (tptp.lonely @t6 @t122)) % 126.57/129.42 (define @t139 () (forall @t10 (=> @t9 @t138))) % 126.57/129.42 (define @t140 () (tptp.way @t6 @t122)) % 126.57/129.42 (define @t141 () (forall @t10 (=> @t9 @t140))) % 126.57/129.42 (define @t142 () (tptp.street @t6 @t122)) % 126.57/129.42 (define @t143 () (forall @t10 (=> @t9 @t142))) % 126.57/129.42 (define @t144 () (tptp.event @t6 @t119)) % 126.57/129.42 (define @t145 () (forall @t10 (=> @t9 @t144))) % 126.57/129.42 (define @t146 () (tptp.city @t6 @t118)) % 126.57/129.42 (define @t147 () (forall @t10 (=> @t9 @t146))) % 126.57/129.42 (define @t148 () (tptp.hollywood @t6 @t118)) % 126.57/129.42 (define @t149 () (forall @t10 (=> @t9 @t148))) % 126.57/129.42 (define @t150 () (and @t149 @t147 @t145 @t143 @t141 @t139 @t137 @t135 @t133 @t131 @t129 @t127 @t124 @t121)) % 126.57/129.42 (define @t151 () (@list @t118 @t119 @t122 @t125)) % 126.57/129.42 (define @t152 () (exists @t151 @t150)) % 126.57/129.42 (define @t153 () (=> @t152 @t117)) % 126.57/129.42 (define @t154 () (=> @t79 @t153)) % 126.57/129.42 (define @t155 () (forall @t81 @t154)) % 126.57/129.42 (define @t156 () (and @t155 @t82)) % 126.57/129.42 (define @t157 () (forall @t3 @t156)) % 126.57/129.42 (define @t158 () (not @t157)) % 126.57/129.42 (define @t159 () (not @t9)) % 126.57/129.42 (define @t160 () (forall @t10 (or @t159 @t85))) % 126.57/129.42 (define @t161 () (not @t160)) % 126.57/129.42 (define @t162 () (forall @t10 (or @t159 @t88))) % 126.57/129.42 (define @t163 () (not @t162)) % 126.57/129.42 (define @t164 () (forall @t10 (or @t159 @t91))) % 126.57/129.42 (define @t165 () (not @t164)) % 126.57/129.42 (define @t166 () (forall @t10 (or @t159 @t93))) % 126.57/129.42 (define @t167 () (not @t166)) % 126.57/129.42 (define @t168 () (forall @t10 (or @t159 @t95))) % 126.57/129.42 (define @t169 () (not @t168)) % 126.57/129.42 (define @t170 () (forall @t10 (or @t159 @t97))) % 126.57/129.42 (define @t171 () (not @t170)) % 126.57/129.42 (define @t172 () (forall @t10 (or @t159 @t99))) % 126.57/129.42 (define @t173 () (not @t172)) % 126.57/129.42 (define @t174 () (forall @t10 (or @t159 @t101))) % 126.57/129.42 (define @t175 () (not @t174)) % 126.57/129.42 (define @t176 () (forall @t10 (or @t159 @t103))) % 126.57/129.42 (define @t177 () (not @t176)) % 126.57/129.42 (define @t178 () (forall @t10 (or @t159 @t105))) % 126.57/129.42 (define @t179 () (not @t178)) % 126.57/129.42 (define @t180 () (forall @t10 (or @t159 @t107))) % 126.57/129.42 (define @t181 () (not @t180)) % 126.57/129.42 (define @t182 () (forall @t10 (or @t159 @t109))) % 126.57/129.42 (define @t183 () (not @t182)) % 126.57/129.42 (define @t184 () (forall @t10 (or @t159 @t111))) % 126.57/129.42 (define @t185 () (not @t184)) % 126.57/129.42 (define @t186 () (forall @t10 (or @t159 @t113))) % 126.57/129.42 (define @t187 () (not @t186)) % 126.57/129.42 (define @t188 () (or @t187 @t185 @t183 @t181 @t179 @t177 @t175 @t173 @t171 @t169 @t167 @t165 @t163 @t161)) % 126.57/129.42 (define @t189 () (not (forall @t116 @t188))) % 126.57/129.42 (define @t190 () (forall @t10 (or @t159 @t120))) % 126.57/129.42 (define @t191 () (not @t190)) % 126.57/129.42 (define @t192 () (forall @t10 (or @t159 @t123))) % 126.57/129.42 (define @t193 () (not @t192)) % 126.57/129.42 (define @t194 () (forall @t10 (or @t159 @t126))) % 126.57/129.42 (define @t195 () (not @t194)) % 126.57/129.42 (define @t196 () (forall @t10 (or @t159 @t128))) % 126.57/129.42 (define @t197 () (not @t196)) % 126.57/129.42 (define @t198 () (forall @t10 (or @t159 @t130))) % 126.57/129.42 (define @t199 () (not @t198)) % 126.57/129.42 (define @t200 () (forall @t10 (or @t159 @t132))) % 126.57/129.42 (define @t201 () (not @t200)) % 126.57/129.42 (define @t202 () (forall @t10 (or @t159 @t134))) % 126.57/129.42 (define @t203 () (not @t202)) % 126.57/129.42 (define @t204 () (forall @t10 (or @t159 @t136))) % 126.57/129.42 (define @t205 () (not @t204)) % 126.57/129.42 (define @t206 () (forall @t10 (or @t159 @t138))) % 126.57/129.42 (define @t207 () (not @t206)) % 126.57/129.42 (define @t208 () (forall @t10 (or @t159 @t140))) % 126.57/129.42 (define @t209 () (not @t208)) % 126.57/129.42 (define @t210 () (forall @t10 (or @t159 @t142))) % 126.57/129.42 (define @t211 () (not @t210)) % 126.57/129.42 (define @t212 () (forall @t10 (or @t159 @t144))) % 126.57/129.42 (define @t213 () (not @t212)) % 126.57/129.42 (define @t214 () (forall @t10 (or @t159 @t146))) % 126.57/129.42 (define @t215 () (not @t214)) % 126.57/129.42 (define @t216 () (forall @t10 (or @t159 @t148))) % 126.57/129.42 (define @t217 () (not @t216)) % 126.57/129.42 (define @t218 () (or @t217 @t215 @t213 @t211 @t209 @t207 @t205 @t203 @t201 @t199 @t197 @t195 @t193 @t191)) % 126.57/129.42 (define @t219 () (forall @t151 @t218)) % 126.57/129.42 (define @t220 () (@var "BOUND_VARIABLE_7866" |tptp.'$world'|)) % 126.57/129.42 (define @t221 () (or (not (|tptp.'$accessible_world'| @t220 @t8)) @t219 @t189)) % 126.57/129.42 (define @t222 () (forall (@list @t220 @t8) @t221)) % 126.57/129.42 (define @t223 () (@quantifiers_skolemize @t222 1)) % 126.57/129.42 (define @t224 () (not (|tptp.'$accessible_world'| @t223 @t6))) % 126.57/129.42 (define @t225 () (or @t224 @t85)) % 126.57/129.42 (define @t226 () (forall @t10 @t225)) % 126.57/129.42 (define @t227 () (not @t226)) % 126.57/129.42 (define @t228 () (or @t224 @t88)) % 126.57/129.42 (define @t229 () (forall @t10 @t228)) % 126.57/129.42 (define @t230 () (not @t229)) % 126.57/129.42 (define @t231 () (or @t224 @t91)) % 126.57/129.42 (define @t232 () (forall @t10 @t231)) % 126.57/129.42 (define @t233 () (not @t232)) % 126.57/129.42 (define @t234 () (or @t224 @t93)) % 126.57/129.42 (define @t235 () (forall @t10 @t234)) % 126.57/129.42 (define @t236 () (not @t235)) % 126.57/129.42 (define @t237 () (or @t224 @t95)) % 126.57/129.42 (define @t238 () (forall @t10 @t237)) % 126.57/129.42 (define @t239 () (not @t238)) % 126.57/129.42 (define @t240 () (or @t224 @t97)) % 126.57/129.42 (define @t241 () (forall @t10 @t240)) % 126.57/129.42 (define @t242 () (not @t241)) % 126.57/129.42 (define @t243 () (or @t224 @t99)) % 126.57/129.42 (define @t244 () (forall @t10 @t243)) % 126.57/129.42 (define @t245 () (not @t244)) % 126.57/129.42 (define @t246 () (or @t224 @t101)) % 126.57/129.42 (define @t247 () (forall @t10 @t246)) % 126.57/129.42 (define @t248 () (not @t247)) % 126.57/129.42 (define @t249 () (or @t224 @t103)) % 126.57/129.42 (define @t250 () (forall @t10 @t249)) % 126.57/129.42 (define @t251 () (not @t250)) % 126.57/129.42 (define @t252 () (or @t224 @t105)) % 126.57/129.42 (define @t253 () (forall @t10 @t252)) % 126.57/129.42 (define @t254 () (not @t253)) % 126.57/129.42 (define @t255 () (or @t224 @t107)) % 126.57/129.42 (define @t256 () (forall @t10 @t255)) % 126.57/129.42 (define @t257 () (not @t256)) % 126.57/129.42 (define @t258 () (or @t224 @t109)) % 126.57/129.42 (define @t259 () (forall @t10 @t258)) % 126.57/129.42 (define @t260 () (not @t259)) % 126.57/129.42 (define @t261 () (or @t224 @t111)) % 126.57/129.42 (define @t262 () (forall @t10 @t261)) % 126.57/129.42 (define @t263 () (not @t262)) % 126.57/129.42 (define @t264 () (or @t224 @t113)) % 126.57/129.42 (define @t265 () (forall @t10 @t264)) % 126.57/129.42 (define @t266 () (not @t265)) % 126.57/129.42 (define @t267 () (or @t266 @t263 @t260 @t257 @t254 @t251 @t248 @t245 @t242 @t239 @t236 @t233 @t230 @t227)) % 126.57/129.42 (define @t268 () (forall @t116 @t267)) % 126.57/129.42 (define @t269 () (not @t268)) % 126.57/129.42 (define @t270 () (forall @t151 (or (not (forall @t10 (or @t224 @t148))) (not (forall @t10 (or @t224 @t146))) (not (forall @t10 (or @t224 @t144))) (not (forall @t10 (or @t224 @t142))) (not (forall @t10 (or @t224 @t140))) (not (forall @t10 (or @t224 @t138))) (not (forall @t10 (or @t224 @t136))) (not (forall @t10 (or @t224 @t134))) (not (forall @t10 (or @t224 @t132))) (not (forall @t10 (or @t224 @t130))) (not (forall @t10 (or @t224 @t128))) (not (forall @t10 (or @t224 @t126))) (not (forall @t10 (or @t224 @t123))) (not (forall @t10 (or @t224 @t120)))))) % 126.57/129.42 (define @t271 () (or (not (|tptp.'$accessible_world'| (@quantifiers_skolemize @t222 0) @t223)) @t270 @t269)) % 126.57/129.42 (define @t272 () (or @t266 @t263 @t260 @t242 @t239 @t236 @t257 @t254 @t251 @t248 @t245 @t233 @t230 @t227)) % 126.57/129.42 (define @t273 () (forall @t116 @t272)) % 126.57/129.42 (define @t274 () (@var "BOUND_VARIABLE_8284" $$unsorted)) % 126.57/129.42 (define @t275 () (@var "BOUND_VARIABLE_8285" $$unsorted)) % 126.57/129.42 (define @t276 () (@var "BOUND_VARIABLE_8283" |tptp.'$world'|)) % 126.57/129.42 (define @t277 () (not (|tptp.'$accessible_world'| @t223 @t276))) % 126.57/129.42 (define @t278 () (@list @t276)) % 126.57/129.42 (define @t279 () (@var "BOUND_VARIABLE_8286" $$unsorted)) % 126.57/129.42 (define @t280 () (@var "BOUND_VARIABLE_8287" $$unsorted)) % 126.57/129.42 (define @t281 () (@list @t276 @t274 @t275 @t279 @t280)) % 126.57/129.42 (define @t282 () (@list false true)) % 126.57/129.42 (define @t283 () (not @t271)) % 126.57/129.42 (define @t284 () (not @t222)) % 126.57/129.42 (define @t285 () (@list false)) % 126.57/129.42 (define @t286 () (forall @t10 (or @t159 @t7))) % 126.57/129.42 (define @t287 () (not @t286)) % 126.57/129.42 (define @t288 () (forall @t10 (or @t159 @t13))) % 126.57/129.42 (define @t289 () (not @t288)) % 126.57/129.42 (define @t290 () (forall @t10 (or @t159 @t16))) % 126.57/129.42 (define @t291 () (not @t290)) % 126.57/129.42 (define @t292 () (forall @t10 (or @t159 @t18))) % 126.57/129.42 (define @t293 () (not @t292)) % 126.57/129.42 (define @t294 () (forall @t10 (or @t159 @t20))) % 126.57/129.42 (define @t295 () (not @t294)) % 126.57/129.42 (define @t296 () (forall @t10 (or @t159 @t22))) % 126.57/129.42 (define @t297 () (not @t296)) % 126.57/129.42 (define @t298 () (forall @t10 (or @t159 @t24))) % 126.57/129.42 (define @t299 () (not @t298)) % 126.57/129.42 (define @t300 () (forall @t10 (or @t159 @t26))) % 126.57/129.42 (define @t301 () (not @t300)) % 126.57/129.42 (define @t302 () (forall @t10 (or @t159 @t28))) % 126.57/129.42 (define @t303 () (not @t302)) % 126.57/129.42 (define @t304 () (forall @t10 (or @t159 @t30))) % 126.57/129.42 (define @t305 () (not @t304)) % 126.57/129.42 (define @t306 () (forall @t10 (or @t159 @t32))) % 126.57/129.42 (define @t307 () (not @t306)) % 126.57/129.42 (define @t308 () (forall @t10 (or @t159 @t34))) % 126.57/129.42 (define @t309 () (not @t308)) % 126.57/129.42 (define @t310 () (forall @t10 (or @t159 @t36))) % 126.57/129.42 (define @t311 () (not @t310)) % 126.57/129.42 (define @t312 () (forall @t10 (or @t159 @t38))) % 126.57/129.42 (define @t313 () (not @t312)) % 126.57/129.42 (define @t314 () (or @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287)) % 126.57/129.42 (define @t315 () (not (forall @t41 @t314))) % 126.57/129.42 (define @t316 () (forall @t10 (or @t159 @t45))) % 126.57/129.42 (define @t317 () (not @t316)) % 126.57/129.42 (define @t318 () (forall @t10 (or @t159 @t48))) % 126.57/129.42 (define @t319 () (not @t318)) % 126.57/129.42 (define @t320 () (forall @t10 (or @t159 @t51))) % 126.57/129.42 (define @t321 () (not @t320)) % 126.57/129.42 (define @t322 () (forall @t10 (or @t159 @t53))) % 126.57/129.42 (define @t323 () (not @t322)) % 126.57/129.42 (define @t324 () (forall @t10 (or @t159 @t55))) % 126.57/129.42 (define @t325 () (not @t324)) % 126.57/129.42 (define @t326 () (forall @t10 (or @t159 @t57))) % 126.57/129.42 (define @t327 () (not @t326)) % 126.57/129.42 (define @t328 () (forall @t10 (or @t159 @t59))) % 126.57/129.42 (define @t329 () (not @t328)) % 126.57/129.42 (define @t330 () (forall @t10 (or @t159 @t61))) % 126.57/129.42 (define @t331 () (not @t330)) % 126.57/129.42 (define @t332 () (forall @t10 (or @t159 @t63))) % 126.57/129.42 (define @t333 () (not @t332)) % 126.57/129.42 (define @t334 () (forall @t10 (or @t159 @t65))) % 126.57/129.42 (define @t335 () (not @t334)) % 126.57/129.42 (define @t336 () (forall @t10 (or @t159 @t67))) % 126.57/129.42 (define @t337 () (not @t336)) % 126.57/129.42 (define @t338 () (forall @t10 (or @t159 @t69))) % 126.57/129.42 (define @t339 () (not @t338)) % 126.57/129.42 (define @t340 () (forall @t10 (or @t159 @t71))) % 126.57/129.42 (define @t341 () (not @t340)) % 126.57/129.42 (define @t342 () (forall @t10 (or @t159 @t73))) % 126.57/129.42 (define @t343 () (not @t342)) % 126.57/129.42 (define @t344 () (or @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317)) % 126.57/129.42 (define @t345 () (forall @t76 @t344)) % 126.57/129.42 (define @t346 () (@var "BOUND_VARIABLE_7874" |tptp.'$world'|)) % 126.57/129.42 (define @t347 () (or (not (|tptp.'$accessible_world'| @t346 @t8)) @t345 @t315)) % 126.57/129.42 (define @t348 () (forall (@list @t346 @t8) @t347)) % 126.57/129.42 (define @t349 () (forall (@list @t346) (forall @t81 @t347))) % 126.57/129.42 (define @t350 () (forall (@list @t220) (forall @t81 @t221))) % 126.57/129.42 (define @t351 () (not @t79)) % 126.57/129.42 (define @t352 () (or @t351 @t345 @t315)) % 126.57/129.42 (define @t353 () (forall @t81 @t352)) % 126.57/129.42 (define @t354 () (forall @t3 @t353)) % 126.57/129.42 (define @t355 () (@list @t2)) % 126.57/129.42 (define @t356 () (or @t351 @t219 @t189)) % 126.57/129.42 (define @t357 () (forall @t81 @t356)) % 126.57/129.42 (define @t358 () (forall @t3 @t357)) % 126.57/129.42 (define @t359 () (and @t358 @t354)) % 126.57/129.42 (define @t360 () (not @t345)) % 126.57/129.42 (define @t361 () (=> @t360 @t315)) % 126.57/129.42 (define @t362 () (and @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286)) % 126.57/129.42 (define @t363 () (forall @t41 (not @t362))) % 126.57/129.42 (define @t364 () (not @t363)) % 126.57/129.42 (define @t365 () (and @t342 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316)) % 126.57/129.42 (define @t366 () (forall @t76 (not @t365))) % 126.57/129.42 (define @t367 () (not @t366)) % 126.57/129.42 (define @t368 () (not @t219)) % 126.57/129.42 (define @t369 () (=> @t368 @t189)) % 126.57/129.42 (define @t370 () (and @t186 @t184 @t182 @t180 @t178 @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160)) % 126.57/129.42 (define @t371 () (forall @t116 (not @t370))) % 126.57/129.42 (define @t372 () (not @t371)) % 126.57/129.42 (define @t373 () (and @t216 @t214 @t212 @t210 @t208 @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190)) % 126.57/129.42 (define @t374 () (forall @t151 (not @t373))) % 126.57/129.42 (define @t375 () (not @t374)) % 126.57/129.42 (define @t376 () (not @t348)) % 126.57/129.42 (define @t377 () (@quantifiers_skolemize @t348 1)) % 126.57/129.42 (define @t378 () (not (|tptp.'$accessible_world'| @t377 @t6))) % 126.57/129.42 (define @t379 () (or @t378 @t7)) % 126.57/129.42 (define @t380 () (forall @t10 @t379)) % 126.57/129.42 (define @t381 () (not @t380)) % 126.57/129.42 (define @t382 () (or @t378 @t13)) % 126.57/129.42 (define @t383 () (forall @t10 @t382)) % 126.57/129.42 (define @t384 () (not @t383)) % 126.57/129.42 (define @t385 () (or @t378 @t16)) % 126.57/129.42 (define @t386 () (forall @t10 @t385)) % 126.57/129.42 (define @t387 () (not @t386)) % 126.57/129.42 (define @t388 () (or @t378 @t18)) % 126.57/129.42 (define @t389 () (forall @t10 @t388)) % 126.57/129.42 (define @t390 () (not @t389)) % 126.57/129.42 (define @t391 () (or @t378 @t20)) % 126.57/129.42 (define @t392 () (forall @t10 @t391)) % 126.57/129.42 (define @t393 () (not @t392)) % 126.57/129.42 (define @t394 () (or @t378 @t22)) % 126.57/129.42 (define @t395 () (forall @t10 @t394)) % 126.57/129.42 (define @t396 () (not @t395)) % 126.57/129.42 (define @t397 () (or @t378 @t24)) % 126.57/129.42 (define @t398 () (forall @t10 @t397)) % 126.57/129.42 (define @t399 () (not @t398)) % 126.57/129.42 (define @t400 () (or @t378 @t26)) % 126.57/129.42 (define @t401 () (forall @t10 @t400)) % 126.57/129.42 (define @t402 () (not @t401)) % 126.57/129.42 (define @t403 () (or @t378 @t28)) % 126.57/129.42 (define @t404 () (forall @t10 @t403)) % 126.57/129.42 (define @t405 () (not @t404)) % 126.57/129.42 (define @t406 () (or @t378 @t30)) % 126.57/129.42 (define @t407 () (forall @t10 @t406)) % 126.57/129.42 (define @t408 () (not @t407)) % 126.57/129.42 (define @t409 () (or @t378 @t32)) % 126.57/129.42 (define @t410 () (forall @t10 @t409)) % 126.57/129.42 (define @t411 () (not @t410)) % 126.57/129.42 (define @t412 () (or @t378 @t34)) % 126.57/129.42 (define @t413 () (forall @t10 @t412)) % 126.57/129.42 (define @t414 () (not @t413)) % 126.57/129.42 (define @t415 () (or @t378 @t36)) % 126.57/129.42 (define @t416 () (forall @t10 @t415)) % 126.57/129.42 (define @t417 () (not @t416)) % 126.57/129.42 (define @t418 () (or @t378 @t38)) % 126.57/129.42 (define @t419 () (forall @t10 @t418)) % 126.57/129.42 (define @t420 () (not @t419)) % 126.57/129.42 (define @t421 () (or @t420 @t417 @t414 @t411 @t408 @t405 @t402 @t399 @t396 @t393 @t390 @t387 @t384 @t381)) % 126.57/129.42 (define @t422 () (forall @t41 @t421)) % 126.57/129.42 (define @t423 () (not @t422)) % 126.57/129.42 (define @t424 () (forall @t76 (or (not (forall @t10 (or @t378 @t73))) (not (forall @t10 (or @t378 @t71))) (not (forall @t10 (or @t378 @t69))) (not (forall @t10 (or @t378 @t67))) (not (forall @t10 (or @t378 @t65))) (not (forall @t10 (or @t378 @t63))) (not (forall @t10 (or @t378 @t61))) (not (forall @t10 (or @t378 @t59))) (not (forall @t10 (or @t378 @t57))) (not (forall @t10 (or @t378 @t55))) (not (forall @t10 (or @t378 @t53))) (not (forall @t10 (or @t378 @t51))) (not (forall @t10 (or @t378 @t48))) (not (forall @t10 (or @t378 @t45)))))) % 126.57/129.42 (define @t425 () (or (not (|tptp.'$accessible_world'| (@quantifiers_skolemize @t348 0) @t377)) @t424 @t423)) % 126.57/129.42 (define @t426 () (not @t425)) % 126.57/129.42 (define @t427 () (@list true)) % 126.57/129.42 (define @t428 () (@list @t425)) % 126.57/129.42 (define @t429 () (or @t420 @t417 @t414 @t402 @t399 @t396 @t393 @t390 @t411 @t408 @t405 @t387 @t384 @t381)) % 126.57/129.42 (define @t430 () (forall @t41 @t429)) % 126.57/129.42 (define @t431 () (@var "BOUND_VARIABLE_8691" $$unsorted)) % 126.57/129.42 (define @t432 () (@var "BOUND_VARIABLE_8692" $$unsorted)) % 126.57/129.42 (define @t433 () (@var "BOUND_VARIABLE_8690" |tptp.'$world'|)) % 126.57/129.42 (define @t434 () (not (|tptp.'$accessible_world'| @t377 @t433))) % 126.57/129.42 (define @t435 () (@list @t433)) % 126.57/129.42 (define @t436 () (@var "BOUND_VARIABLE_8693" $$unsorted)) % 126.57/129.42 (define @t437 () (@var "BOUND_VARIABLE_8694" $$unsorted)) % 126.57/129.42 (define @t438 () (@list @t433 @t431 @t432 @t436 @t437)) % 126.57/129.42 (assume @p1 (forall @t3 (exists (@list @t1) (|tptp.'$accessible_world'| @t2 @t1)))) % 126.57/129.42 (assume @p2 @t158) % 126.57/129.42 (assume @p3 true) % 126.57/129.42 (step @p4 :rule cnf_or_neg :args (@t271 1)) % 126.57/129.42 (step @p5 :rule bool-double-not-elim :args (@t268)) % 126.57/129.42 (step @p6 :rule refl :args (@t271)) % 126.57/129.42 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t271 (not @t269)))) % 126.57/129.42 (step @p8 :rule cnf_or_neg :args (@t271 2)) % 126.57/129.42 (step @p9 :rule eq_resolve :premises (@p8 @p7)) % 126.57/129.42 (step @p10 :rule reordering :premises (@p9) :args ((or @t268 @t271))) % 126.57/129.42 (step @p11 :rule aci_norm :args ((= @t225 (or @t85 @t224)))) % 126.57/129.42 (step @p12 :rule cong :premises (@p11) :args (@t226)) % 126.57/129.42 (step @p13 :rule cong :premises (@p12) :args (@t227)) % 126.57/129.42 (step @p14 :rule aci_norm :args ((= @t228 (or @t88 @t224)))) % 126.57/129.42 (step @p15 :rule cong :premises (@p14) :args (@t229)) % 126.57/129.42 (step @p16 :rule cong :premises (@p15) :args (@t230)) % 126.57/129.42 (step @p17 :rule aci_norm :args ((= @t231 (or @t91 @t224)))) % 126.57/129.42 (step @p18 :rule cong :premises (@p17) :args (@t232)) % 126.57/129.42 (step @p19 :rule cong :premises (@p18) :args (@t233)) % 126.57/129.42 (step @p20 :rule aci_norm :args ((= @t243 (or @t99 @t224)))) % 126.57/129.42 (step @p21 :rule cong :premises (@p20) :args (@t244)) % 126.57/129.42 (step @p22 :rule cong :premises (@p21) :args (@t245)) % 126.57/129.42 (step @p23 :rule aci_norm :args ((= @t246 (or @t101 @t224)))) % 126.57/129.42 (step @p24 :rule cong :premises (@p23) :args (@t247)) % 126.57/129.42 (step @p25 :rule cong :premises (@p24) :args (@t248)) % 126.57/129.42 (step @p26 :rule aci_norm :args ((= @t249 (or @t103 @t224)))) % 126.57/129.42 (step @p27 :rule cong :premises (@p26) :args (@t250)) % 126.57/129.42 (step @p28 :rule cong :premises (@p27) :args (@t251)) % 126.57/129.42 (step @p29 :rule aci_norm :args ((= @t252 (or @t105 @t224)))) % 126.57/129.42 (step @p30 :rule cong :premises (@p29) :args (@t253)) % 126.57/129.42 (step @p31 :rule cong :premises (@p30) :args (@t254)) % 126.57/129.42 (step @p32 :rule aci_norm :args ((= @t255 (or @t107 @t224)))) % 126.57/129.42 (step @p33 :rule cong :premises (@p32) :args (@t256)) % 126.57/129.42 (step @p34 :rule cong :premises (@p33) :args (@t257)) % 126.57/129.42 (step @p35 :rule aci_norm :args ((= @t234 (or @t93 @t224)))) % 126.57/129.42 (step @p36 :rule cong :premises (@p35) :args (@t235)) % 126.57/129.42 (step @p37 :rule cong :premises (@p36) :args (@t236)) % 126.57/129.42 (step @p38 :rule aci_norm :args ((= @t237 (or @t95 @t224)))) % 126.57/129.42 (step @p39 :rule cong :premises (@p38) :args (@t238)) % 126.57/129.42 (step @p40 :rule cong :premises (@p39) :args (@t239)) % 126.57/129.42 (step @p41 :rule aci_norm :args ((= @t240 (or @t97 @t224)))) % 126.57/129.42 (step @p42 :rule cong :premises (@p41) :args (@t241)) % 126.57/129.42 (step @p43 :rule cong :premises (@p42) :args (@t242)) % 126.57/129.42 (step @p44 :rule aci_norm :args ((= @t258 (or @t109 @t224)))) % 126.57/129.42 (step @p45 :rule cong :premises (@p44) :args (@t259)) % 126.57/129.42 (step @p46 :rule cong :premises (@p45) :args (@t260)) % 126.57/129.42 (step @p47 :rule aci_norm :args ((= @t261 (or @t111 @t224)))) % 126.57/129.42 (step @p48 :rule cong :premises (@p47) :args (@t262)) % 126.57/129.42 (step @p49 :rule cong :premises (@p48) :args (@t263)) % 126.57/129.42 (step @p50 :rule aci_norm :args ((= @t264 (or @t113 @t224)))) % 126.57/129.42 (step @p51 :rule cong :premises (@p50) :args (@t265)) % 126.57/129.42 (step @p52 :rule cong :premises (@p51) :args (@t266)) % 126.57/129.42 (step @p53 :rule nary_cong :premises (@p52 @p49 @p46 @p43 @p40 @p37 @p34 @p31 @p28 @p25 @p22 @p19 @p16 @p13) :args (@t272)) % 126.57/129.42 (step @p54 :rule cong :premises (@p53) :args (@t273)) % 126.57/129.42 (step @p55 :rule nary_cong :premises (@p52 @p49 @p46 @p34 @p31 @p28 @p25 @p22 @p43 @p40 @p37 @p19 @p16 @p13) :args (@t267)) % 126.57/129.42 (step @p56 :rule cong :premises (@p55) :args (@t268)) % 126.57/129.42 (step @p57 :rule cong :premises (@p56 @p54) :args ((= @t268 @t273))) % 126.57/129.42 (step @p58 :rule aci_norm :args ((= @t267 @t272))) % 126.57/129.42 (step @p59 :rule cong :premises (@p58) :args (@t268)) % 126.57/129.42 (step @p60 :rule symm :premises (@p59)) % 126.57/129.42 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t273 @t268))) % 126.57/129.42 (step @p62 :rule trans :premises (@p61 @p57)) % 126.57/129.42 (step @p63 :rule true_elim :premises (@p62)) % 126.57/129.42 (step @p64 :rule quant_var_reordering :args ((= (forall (@list @t83 @t84 @t87 @t90) @t272) @t273))) % 126.57/129.42 (step @p65 :rule alpha_equiv :args ((forall (@list @t274 @t275 @t279 @t280) (or (not (forall @t278 (or @t277 (tptp.hollywood @t276 @t274)))) (not (forall @t278 (or @t277 (tptp.city @t276 @t274)))) (not (forall @t278 (or @t277 (tptp.event @t276 @t275)))) (not (forall @t278 (or @t277 (tptp.street @t276 @t279)))) (not (forall @t278 (or @t277 (tptp.way @t276 @t279)))) (not (forall @t278 (or @t277 (tptp.lonely @t276 @t279)))) (not (forall @t278 (or @t277 (tptp.chevy @t276 @t280)))) (not (forall @t278 (or @t277 (tptp.car @t276 @t280)))) (not (forall @t278 (or @t277 (tptp.white @t276 @t280)))) (not (forall @t278 (or @t277 (tptp.dirty @t276 @t280)))) (not (forall @t278 (or @t277 (tptp.old @t276 @t280)))) (not (forall @t278 (or @t277 (tptp.barrel @t276 @t275 @t280)))) (not (forall @t278 (or @t277 (tptp.down @t276 @t275 @t279)))) (not (forall @t278 (or @t277 (tptp.in @t276 @t275 @t274)))))) @t281 (@list @t6 @t83 @t84 @t87 @t90))) % 126.57/129.42 (step @p66 :rule alpha_equiv :args (@t270 (@list @t6 @t118 @t119 @t122 @t125) @t281)) % 126.57/129.42 (step @p67 :rule trans :premises (@p66 @p65 @p64 @p63)) % 126.57/129.42 (step @p68 :rule equiv_elim2 :premises (@p67)) % 126.57/129.42 (step @p69 :rule chain_m_resolution :premises (@p68 @p10 @p4) :args (@t271 @t282 (@list @t268 @t270))) % 126.57/129.42 (step @p70 :rule refl :args (@t283)) % 126.57/129.42 (step @p71 :rule bool-double-not-elim :args (@t222)) % 126.57/129.42 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t284) @t283))) % 126.57/129.42 (assume-push @p550 @t284) % 126.57/129.42 (step @p74 :rule skolemize :premises (@p550)) % 126.57/129.42 (step-pop @p551 :rule scope :premises (@p74)) % 126.57/129.42 (step @p75 :rule process_scope :premises (@p551) :args (@t283)) % 126.57/129.42 (step @p77 :rule implies_elim :premises (@p75)) % 126.57/129.42 (step @p78 :rule eq_resolve :premises (@p77 @p72)) % 126.57/129.42 (step @p79 :rule chain_m_resolution :premises (@p78 @p69) :args (@t222 @t285 (@list @t271))) % 126.57/129.42 (step @p80 :rule quant-merge-prenex :args ((= @t349 @t348))) % 126.57/129.42 (step @p81 :rule quant-merge-prenex :args ((= @t350 @t222))) % 126.57/129.42 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((and @t350 @t349))) % 126.57/129.42 (step @p83 :rule alpha_equiv :args (@t354 @t355 (@list @t346))) % 126.57/129.42 (step @p84 :rule alpha_equiv :args (@t358 @t355 (@list @t220))) % 126.57/129.42 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t359)) % 126.57/129.42 (step @p86 :rule quant-miniscope-and :args ((= (forall @t3 (and @t357 @t353)) @t359))) % 126.57/129.42 (step @p87 :rule trans :premises (@p86 @p85)) % 126.57/129.42 (step @p88 :rule trans :premises (@p87 @p82)) % 126.57/129.42 (step @p89 :rule aci_norm :args ((= (or @t351 (or @t345 @t315)) @t352))) % 126.57/129.42 (step @p90 :rule refl :args (@t315)) % 126.57/129.42 (step @p91 :rule bool-double-not-elim :args (@t345)) % 126.57/129.42 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t360) @t315))) % 126.57/129.42 (step @p93 :rule bool-impl-elim :args (@t360 @t315)) % 126.57/129.42 (step @p94 :rule trans :premises (@p93 @p92)) % 126.57/129.42 (step @p95 :rule refl :args (@t351)) % 126.57/129.42 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t351 @t361))) % 126.57/129.42 (step @p97 :rule trans :premises (@p96 @p89)) % 126.57/129.42 (step @p98 :rule bool-impl-elim :args (@t79 @t361)) % 126.57/129.42 (step @p99 :rule trans :premises (@p98 @p97)) % 126.57/129.42 (step @p100 :rule cong :premises (@p99) :args ((forall @t81 (=> @t79 @t361)))) % 126.57/129.42 (step @p101 :rule aci_norm :args ((= (or @t313 (or @t311 (or @t309 (or @t307 (or @t305 (or @t303 (or @t301 (or @t299 (or @t297 (or @t295 (or @t293 (or @t291 (or @t289 @t287))))))))))))) @t314))) % 126.57/129.42 (step @p102 :rule bool-and-de-morgan :args (@t288 @t286 true)) % 126.57/129.42 (step @p103 :rule refl :args (@t291)) % 126.57/129.42 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t291 (not (and @t288 @t286))))) % 126.57/129.42 (step @p105 :rule bool-and-de-morgan :args (@t290 @t288 (and @t286))) % 126.57/129.42 (step @p106 :rule trans :premises (@p105 @p104)) % 126.57/129.42 (step @p107 :rule refl :args (@t293)) % 126.57/129.42 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t293 (not (and @t290 @t288 @t286))))) % 126.57/129.42 (step @p109 :rule bool-and-de-morgan :args (@t292 @t290 (and @t288 @t286))) % 126.57/129.42 (step @p110 :rule trans :premises (@p109 @p108)) % 126.57/129.42 (step @p111 :rule refl :args (@t295)) % 126.57/129.42 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t295 (not (and @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p113 :rule bool-and-de-morgan :args (@t294 @t292 (and @t290 @t288 @t286))) % 126.57/129.42 (step @p114 :rule trans :premises (@p113 @p112)) % 126.57/129.42 (step @p115 :rule refl :args (@t297)) % 126.57/129.42 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t297 (not (and @t294 @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p117 :rule bool-and-de-morgan :args (@t296 @t294 (and @t292 @t290 @t288 @t286))) % 126.57/129.42 (step @p118 :rule trans :premises (@p117 @p116)) % 126.57/129.42 (step @p119 :rule refl :args (@t299)) % 126.57/129.42 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t299 (not (and @t296 @t294 @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p121 :rule bool-and-de-morgan :args (@t298 @t296 (and @t294 @t292 @t290 @t288 @t286))) % 126.57/129.42 (step @p122 :rule trans :premises (@p121 @p120)) % 126.57/129.42 (step @p123 :rule refl :args (@t301)) % 126.57/129.42 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t301 (not (and @t298 @t296 @t294 @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p125 :rule bool-and-de-morgan :args (@t300 @t298 (and @t296 @t294 @t292 @t290 @t288 @t286))) % 126.57/129.42 (step @p126 :rule trans :premises (@p125 @p124)) % 126.57/129.42 (step @p127 :rule refl :args (@t303)) % 126.57/129.42 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t303 (not (and @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p129 :rule bool-and-de-morgan :args (@t302 @t300 (and @t298 @t296 @t294 @t292 @t290 @t288 @t286))) % 126.57/129.42 (step @p130 :rule trans :premises (@p129 @p128)) % 126.57/129.42 (step @p131 :rule refl :args (@t305)) % 126.57/129.42 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t305 (not (and @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p133 :rule bool-and-de-morgan :args (@t304 @t302 (and @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))) % 126.57/129.42 (step @p134 :rule trans :premises (@p133 @p132)) % 126.57/129.42 (step @p135 :rule refl :args (@t307)) % 126.57/129.42 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t307 (not (and @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p137 :rule bool-and-de-morgan :args (@t306 @t304 (and @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))) % 126.57/129.42 (step @p138 :rule trans :premises (@p137 @p136)) % 126.57/129.42 (step @p139 :rule refl :args (@t309)) % 126.57/129.42 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t309 (not (and @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p141 :rule bool-and-de-morgan :args (@t308 @t306 (and @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))) % 126.57/129.42 (step @p142 :rule trans :premises (@p141 @p140)) % 126.57/129.42 (step @p143 :rule refl :args (@t311)) % 126.57/129.42 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t311 (not (and @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p145 :rule bool-and-de-morgan :args (@t310 @t308 (and @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))) % 126.57/129.42 (step @p146 :rule trans :premises (@p145 @p144)) % 126.57/129.42 (step @p147 :rule refl :args (@t313)) % 126.57/129.42 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t313 (not (and @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))))) % 126.57/129.42 (step @p149 :rule bool-and-de-morgan :args (@t312 @t310 (and @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286))) % 126.57/129.42 (step @p150 :rule trans :premises (@p149 @p148)) % 126.57/129.42 (step @p151 :rule trans :premises (@p150 @p101)) % 126.57/129.42 (step @p152 :rule cong :premises (@p151) :args (@t363)) % 126.57/129.42 (step @p153 :rule cong :premises (@p152) :args (@t364)) % 126.57/129.42 (step @p154 :rule exists-elim :args ((= (exists @t41 @t362) @t364))) % 126.57/129.42 (step @p155 :rule trans :premises (@p154 @p153)) % 126.57/129.42 (step @p156 :rule bool-impl-elim :args (@t9 @t7)) % 126.57/129.42 (step @p157 :rule cong :premises (@p156) :args (@t11)) % 126.57/129.42 (step @p158 :rule bool-impl-elim :args (@t9 @t13)) % 126.57/129.42 (step @p159 :rule cong :premises (@p158) :args (@t14)) % 126.57/129.42 (step @p160 :rule bool-impl-elim :args (@t9 @t16)) % 126.57/129.42 (step @p161 :rule cong :premises (@p160) :args (@t17)) % 126.57/129.42 (step @p162 :rule bool-impl-elim :args (@t9 @t18)) % 126.57/129.42 (step @p163 :rule cong :premises (@p162) :args (@t19)) % 126.57/129.42 (step @p164 :rule bool-impl-elim :args (@t9 @t20)) % 126.57/129.42 (step @p165 :rule cong :premises (@p164) :args (@t21)) % 126.57/129.42 (step @p166 :rule bool-impl-elim :args (@t9 @t22)) % 126.57/129.42 (step @p167 :rule cong :premises (@p166) :args (@t23)) % 126.57/129.42 (step @p168 :rule bool-impl-elim :args (@t9 @t24)) % 126.57/129.42 (step @p169 :rule cong :premises (@p168) :args (@t25)) % 126.57/129.42 (step @p170 :rule bool-impl-elim :args (@t9 @t26)) % 126.57/129.42 (step @p171 :rule cong :premises (@p170) :args (@t27)) % 126.57/129.42 (step @p172 :rule bool-impl-elim :args (@t9 @t28)) % 126.57/129.42 (step @p173 :rule cong :premises (@p172) :args (@t29)) % 126.57/129.42 (step @p174 :rule bool-impl-elim :args (@t9 @t30)) % 126.57/129.42 (step @p175 :rule cong :premises (@p174) :args (@t31)) % 126.57/129.42 (step @p176 :rule bool-impl-elim :args (@t9 @t32)) % 126.57/129.42 (step @p177 :rule cong :premises (@p176) :args (@t33)) % 126.57/129.42 (step @p178 :rule bool-impl-elim :args (@t9 @t34)) % 126.57/129.42 (step @p179 :rule cong :premises (@p178) :args (@t35)) % 126.57/129.42 (step @p180 :rule bool-impl-elim :args (@t9 @t36)) % 126.57/129.42 (step @p181 :rule cong :premises (@p180) :args (@t37)) % 126.57/129.42 (step @p182 :rule bool-impl-elim :args (@t9 @t38)) % 126.57/129.42 (step @p183 :rule cong :premises (@p182) :args (@t39)) % 126.57/129.42 (step @p184 :rule nary_cong :premises (@p183 @p181 @p179 @p177 @p175 @p173 @p171 @p169 @p167 @p165 @p163 @p161 @p159 @p157) :args (@t40)) % 126.57/129.42 (step @p185 :rule cong :premises (@p184) :args (@t42)) % 126.57/129.42 (step @p186 :rule trans :premises (@p185 @p155)) % 126.57/129.42 (step @p187 :rule aci_norm :args ((= (or @t343 (or @t341 (or @t339 (or @t337 (or @t335 (or @t333 (or @t331 (or @t329 (or @t327 (or @t325 (or @t323 (or @t321 (or @t319 @t317))))))))))))) @t344))) % 126.57/129.42 (step @p188 :rule bool-and-de-morgan :args (@t318 @t316 true)) % 126.57/129.42 (step @p189 :rule refl :args (@t321)) % 126.57/129.42 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t321 (not (and @t318 @t316))))) % 126.57/129.42 (step @p191 :rule bool-and-de-morgan :args (@t320 @t318 (and @t316))) % 126.57/129.42 (step @p192 :rule trans :premises (@p191 @p190)) % 126.57/129.42 (step @p193 :rule refl :args (@t323)) % 126.57/129.42 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t323 (not (and @t320 @t318 @t316))))) % 126.57/129.42 (step @p195 :rule bool-and-de-morgan :args (@t322 @t320 (and @t318 @t316))) % 126.57/129.42 (step @p196 :rule trans :premises (@p195 @p194)) % 126.57/129.42 (step @p197 :rule refl :args (@t325)) % 126.57/129.42 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t325 (not (and @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p199 :rule bool-and-de-morgan :args (@t324 @t322 (and @t320 @t318 @t316))) % 126.57/129.42 (step @p200 :rule trans :premises (@p199 @p198)) % 126.57/129.42 (step @p201 :rule refl :args (@t327)) % 126.57/129.42 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t327 (not (and @t324 @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p203 :rule bool-and-de-morgan :args (@t326 @t324 (and @t322 @t320 @t318 @t316))) % 126.57/129.42 (step @p204 :rule trans :premises (@p203 @p202)) % 126.57/129.42 (step @p205 :rule refl :args (@t329)) % 126.57/129.42 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t329 (not (and @t326 @t324 @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p207 :rule bool-and-de-morgan :args (@t328 @t326 (and @t324 @t322 @t320 @t318 @t316))) % 126.57/129.42 (step @p208 :rule trans :premises (@p207 @p206)) % 126.57/129.42 (step @p209 :rule refl :args (@t331)) % 126.57/129.42 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t331 (not (and @t328 @t326 @t324 @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p211 :rule bool-and-de-morgan :args (@t330 @t328 (and @t326 @t324 @t322 @t320 @t318 @t316))) % 126.57/129.42 (step @p212 :rule trans :premises (@p211 @p210)) % 126.57/129.42 (step @p213 :rule refl :args (@t333)) % 126.57/129.42 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or @t333 (not (and @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p215 :rule bool-and-de-morgan :args (@t332 @t330 (and @t328 @t326 @t324 @t322 @t320 @t318 @t316))) % 126.57/129.42 (step @p216 :rule trans :premises (@p215 @p214)) % 126.57/129.42 (step @p217 :rule refl :args (@t335)) % 126.57/129.42 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t335 (not (and @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p219 :rule bool-and-de-morgan :args (@t334 @t332 (and @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))) % 126.57/129.42 (step @p220 :rule trans :premises (@p219 @p218)) % 126.57/129.42 (step @p221 :rule refl :args (@t337)) % 126.57/129.42 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t337 (not (and @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p223 :rule bool-and-de-morgan :args (@t336 @t334 (and @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))) % 126.57/129.42 (step @p224 :rule trans :premises (@p223 @p222)) % 126.57/129.42 (step @p225 :rule refl :args (@t339)) % 126.57/129.42 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t339 (not (and @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p227 :rule bool-and-de-morgan :args (@t338 @t336 (and @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))) % 126.57/129.42 (step @p228 :rule trans :premises (@p227 @p226)) % 126.57/129.42 (step @p229 :rule refl :args (@t341)) % 126.57/129.42 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t341 (not (and @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p231 :rule bool-and-de-morgan :args (@t340 @t338 (and @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))) % 126.57/129.42 (step @p232 :rule trans :premises (@p231 @p230)) % 126.57/129.42 (step @p233 :rule refl :args (@t343)) % 126.57/129.42 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t343 (not (and @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))))) % 126.57/129.42 (step @p235 :rule bool-and-de-morgan :args (@t342 @t340 (and @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316))) % 126.57/129.42 (step @p236 :rule trans :premises (@p235 @p234)) % 126.57/129.42 (step @p237 :rule trans :premises (@p236 @p187)) % 126.57/129.42 (step @p238 :rule cong :premises (@p237) :args (@t366)) % 126.57/129.42 (step @p239 :rule cong :premises (@p238) :args (@t367)) % 126.57/129.42 (step @p240 :rule exists-elim :args ((= (exists @t76 @t365) @t367))) % 126.57/129.42 (step @p241 :rule trans :premises (@p240 @p239)) % 126.57/129.42 (step @p242 :rule bool-impl-elim :args (@t9 @t45)) % 126.57/129.42 (step @p243 :rule cong :premises (@p242) :args (@t46)) % 126.57/129.42 (step @p244 :rule bool-impl-elim :args (@t9 @t48)) % 126.57/129.42 (step @p245 :rule cong :premises (@p244) :args (@t49)) % 126.57/129.42 (step @p246 :rule bool-impl-elim :args (@t9 @t51)) % 126.57/129.42 (step @p247 :rule cong :premises (@p246) :args (@t52)) % 126.57/129.42 (step @p248 :rule bool-impl-elim :args (@t9 @t53)) % 126.57/129.42 (step @p249 :rule cong :premises (@p248) :args (@t54)) % 126.57/129.42 (step @p250 :rule bool-impl-elim :args (@t9 @t55)) % 126.57/129.42 (step @p251 :rule cong :premises (@p250) :args (@t56)) % 126.57/129.42 (step @p252 :rule bool-impl-elim :args (@t9 @t57)) % 126.57/129.42 (step @p253 :rule cong :premises (@p252) :args (@t58)) % 126.57/129.42 (step @p254 :rule bool-impl-elim :args (@t9 @t59)) % 126.57/129.42 (step @p255 :rule cong :premises (@p254) :args (@t60)) % 126.57/129.42 (step @p256 :rule bool-impl-elim :args (@t9 @t61)) % 126.57/129.42 (step @p257 :rule cong :premises (@p256) :args (@t62)) % 126.57/129.42 (step @p258 :rule bool-impl-elim :args (@t9 @t63)) % 126.57/129.42 (step @p259 :rule cong :premises (@p258) :args (@t64)) % 126.57/129.42 (step @p260 :rule bool-impl-elim :args (@t9 @t65)) % 126.57/129.42 (step @p261 :rule cong :premises (@p260) :args (@t66)) % 126.57/129.42 (step @p262 :rule bool-impl-elim :args (@t9 @t67)) % 126.57/129.42 (step @p263 :rule cong :premises (@p262) :args (@t68)) % 126.57/129.42 (step @p264 :rule bool-impl-elim :args (@t9 @t69)) % 126.57/129.42 (step @p265 :rule cong :premises (@p264) :args (@t70)) % 126.57/129.42 (step @p266 :rule bool-impl-elim :args (@t9 @t71)) % 126.57/129.42 (step @p267 :rule cong :premises (@p266) :args (@t72)) % 126.57/129.42 (step @p268 :rule bool-impl-elim :args (@t9 @t73)) % 126.57/129.42 (step @p269 :rule cong :premises (@p268) :args (@t74)) % 126.57/129.42 (step @p270 :rule nary_cong :premises (@p269 @p267 @p265 @p263 @p261 @p259 @p257 @p255 @p253 @p251 @p249 @p247 @p245 @p243) :args (@t75)) % 126.57/129.42 (step @p271 :rule cong :premises (@p270) :args (@t77)) % 126.57/129.42 (step @p272 :rule trans :premises (@p271 @p241)) % 126.57/129.42 (step @p273 :rule cong :premises (@p272 @p186) :args (@t78)) % 126.57/129.42 (step @p274 :rule refl :args (@t79)) % 126.57/129.42 (step @p275 :rule cong :premises (@p274 @p273) :args (@t80)) % 126.57/129.42 (step @p276 :rule cong :premises (@p275) :args (@t82)) % 126.57/129.42 (step @p277 :rule trans :premises (@p276 @p100)) % 126.57/129.42 (step @p278 :rule aci_norm :args ((= (or @t351 (or @t219 @t189)) @t356))) % 126.57/129.42 (step @p279 :rule refl :args (@t189)) % 126.57/129.42 (step @p280 :rule bool-double-not-elim :args (@t219)) % 126.57/129.42 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or (not @t368) @t189))) % 126.57/129.42 (step @p282 :rule bool-impl-elim :args (@t368 @t189)) % 126.57/129.42 (step @p283 :rule trans :premises (@p282 @p281)) % 126.57/129.42 (step @p284 :rule nary_cong :premises (@p95 @p283) :args ((or @t351 @t369))) % 126.57/129.42 (step @p285 :rule trans :premises (@p284 @p278)) % 126.57/129.42 (step @p286 :rule bool-impl-elim :args (@t79 @t369)) % 126.57/129.42 (step @p287 :rule trans :premises (@p286 @p285)) % 126.57/129.42 (step @p288 :rule cong :premises (@p287) :args ((forall @t81 (=> @t79 @t369)))) % 126.57/129.42 (step @p289 :rule aci_norm :args ((= (or @t187 (or @t185 (or @t183 (or @t181 (or @t179 (or @t177 (or @t175 (or @t173 (or @t171 (or @t169 (or @t167 (or @t165 (or @t163 @t161))))))))))))) @t188))) % 126.57/129.42 (step @p290 :rule bool-and-de-morgan :args (@t162 @t160 true)) % 126.57/129.42 (step @p291 :rule refl :args (@t165)) % 126.57/129.42 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or @t165 (not (and @t162 @t160))))) % 126.57/129.42 (step @p293 :rule bool-and-de-morgan :args (@t164 @t162 (and @t160))) % 126.57/129.42 (step @p294 :rule trans :premises (@p293 @p292)) % 126.57/129.42 (step @p295 :rule refl :args (@t167)) % 126.57/129.42 (step @p296 :rule nary_cong :premises (@p295 @p294) :args ((or @t167 (not (and @t164 @t162 @t160))))) % 126.57/129.42 (step @p297 :rule bool-and-de-morgan :args (@t166 @t164 (and @t162 @t160))) % 126.57/129.42 (step @p298 :rule trans :premises (@p297 @p296)) % 126.57/129.42 (step @p299 :rule refl :args (@t169)) % 126.57/129.42 (step @p300 :rule nary_cong :premises (@p299 @p298) :args ((or @t169 (not (and @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p301 :rule bool-and-de-morgan :args (@t168 @t166 (and @t164 @t162 @t160))) % 126.57/129.42 (step @p302 :rule trans :premises (@p301 @p300)) % 126.57/129.42 (step @p303 :rule refl :args (@t171)) % 126.57/129.42 (step @p304 :rule nary_cong :premises (@p303 @p302) :args ((or @t171 (not (and @t168 @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p305 :rule bool-and-de-morgan :args (@t170 @t168 (and @t166 @t164 @t162 @t160))) % 126.57/129.42 (step @p306 :rule trans :premises (@p305 @p304)) % 126.57/129.42 (step @p307 :rule refl :args (@t173)) % 126.57/129.42 (step @p308 :rule nary_cong :premises (@p307 @p306) :args ((or @t173 (not (and @t170 @t168 @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p309 :rule bool-and-de-morgan :args (@t172 @t170 (and @t168 @t166 @t164 @t162 @t160))) % 126.57/129.42 (step @p310 :rule trans :premises (@p309 @p308)) % 126.57/129.42 (step @p311 :rule refl :args (@t175)) % 126.57/129.42 (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((or @t175 (not (and @t172 @t170 @t168 @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p313 :rule bool-and-de-morgan :args (@t174 @t172 (and @t170 @t168 @t166 @t164 @t162 @t160))) % 126.57/129.42 (step @p314 :rule trans :premises (@p313 @p312)) % 126.57/129.42 (step @p315 :rule refl :args (@t177)) % 126.57/129.42 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t177 (not (and @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p317 :rule bool-and-de-morgan :args (@t176 @t174 (and @t172 @t170 @t168 @t166 @t164 @t162 @t160))) % 126.57/129.42 (step @p318 :rule trans :premises (@p317 @p316)) % 126.57/129.42 (step @p319 :rule refl :args (@t179)) % 126.57/129.42 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t179 (not (and @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p321 :rule bool-and-de-morgan :args (@t178 @t176 (and @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))) % 126.57/129.42 (step @p322 :rule trans :premises (@p321 @p320)) % 126.57/129.42 (step @p323 :rule refl :args (@t181)) % 126.57/129.42 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or @t181 (not (and @t178 @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p325 :rule bool-and-de-morgan :args (@t180 @t178 (and @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))) % 126.57/129.42 (step @p326 :rule trans :premises (@p325 @p324)) % 126.57/129.42 (step @p327 :rule refl :args (@t183)) % 126.57/129.42 (step @p328 :rule nary_cong :premises (@p327 @p326) :args ((or @t183 (not (and @t180 @t178 @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p329 :rule bool-and-de-morgan :args (@t182 @t180 (and @t178 @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))) % 126.57/129.42 (step @p330 :rule trans :premises (@p329 @p328)) % 126.57/129.42 (step @p331 :rule refl :args (@t185)) % 126.57/129.42 (step @p332 :rule nary_cong :premises (@p331 @p330) :args ((or @t185 (not (and @t182 @t180 @t178 @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p333 :rule bool-and-de-morgan :args (@t184 @t182 (and @t180 @t178 @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))) % 126.57/129.42 (step @p334 :rule trans :premises (@p333 @p332)) % 126.57/129.42 (step @p335 :rule refl :args (@t187)) % 126.57/129.42 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((or @t187 (not (and @t184 @t182 @t180 @t178 @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))))) % 126.57/129.42 (step @p337 :rule bool-and-de-morgan :args (@t186 @t184 (and @t182 @t180 @t178 @t176 @t174 @t172 @t170 @t168 @t166 @t164 @t162 @t160))) % 126.57/129.42 (step @p338 :rule trans :premises (@p337 @p336)) % 126.57/129.42 (step @p339 :rule trans :premises (@p338 @p289)) % 126.57/129.42 (step @p340 :rule cong :premises (@p339) :args (@t371)) % 126.57/129.42 (step @p341 :rule cong :premises (@p340) :args (@t372)) % 126.57/129.42 (step @p342 :rule exists-elim :args ((= (exists @t116 @t370) @t372))) % 126.57/129.42 (step @p343 :rule trans :premises (@p342 @p341)) % 126.57/129.42 (step @p344 :rule bool-impl-elim :args (@t9 @t85)) % 126.57/129.42 (step @p345 :rule cong :premises (@p344) :args (@t86)) % 126.57/129.42 (step @p346 :rule bool-impl-elim :args (@t9 @t88)) % 126.57/129.42 (step @p347 :rule cong :premises (@p346) :args (@t89)) % 126.57/129.42 (step @p348 :rule bool-impl-elim :args (@t9 @t91)) % 126.57/129.42 (step @p349 :rule cong :premises (@p348) :args (@t92)) % 126.57/129.42 (step @p350 :rule bool-impl-elim :args (@t9 @t93)) % 126.57/129.42 (step @p351 :rule cong :premises (@p350) :args (@t94)) % 126.57/129.42 (step @p352 :rule bool-impl-elim :args (@t9 @t95)) % 126.57/129.42 (step @p353 :rule cong :premises (@p352) :args (@t96)) % 126.57/129.42 (step @p354 :rule bool-impl-elim :args (@t9 @t97)) % 126.57/129.42 (step @p355 :rule cong :premises (@p354) :args (@t98)) % 126.57/129.42 (step @p356 :rule bool-impl-elim :args (@t9 @t99)) % 126.57/129.42 (step @p357 :rule cong :premises (@p356) :args (@t100)) % 126.57/129.42 (step @p358 :rule bool-impl-elim :args (@t9 @t101)) % 126.57/129.42 (step @p359 :rule cong :premises (@p358) :args (@t102)) % 126.57/129.42 (step @p360 :rule bool-impl-elim :args (@t9 @t103)) % 126.57/129.42 (step @p361 :rule cong :premises (@p360) :args (@t104)) % 126.57/129.42 (step @p362 :rule bool-impl-elim :args (@t9 @t105)) % 126.57/129.42 (step @p363 :rule cong :premises (@p362) :args (@t106)) % 126.57/129.42 (step @p364 :rule bool-impl-elim :args (@t9 @t107)) % 126.57/129.42 (step @p365 :rule cong :premises (@p364) :args (@t108)) % 126.57/129.42 (step @p366 :rule bool-impl-elim :args (@t9 @t109)) % 126.57/129.42 (step @p367 :rule cong :premises (@p366) :args (@t110)) % 126.57/129.42 (step @p368 :rule bool-impl-elim :args (@t9 @t111)) % 126.57/129.42 (step @p369 :rule cong :premises (@p368) :args (@t112)) % 126.57/129.42 (step @p370 :rule bool-impl-elim :args (@t9 @t113)) % 126.57/129.42 (step @p371 :rule cong :premises (@p370) :args (@t114)) % 126.57/129.42 (step @p372 :rule nary_cong :premises (@p371 @p369 @p367 @p365 @p363 @p361 @p359 @p357 @p355 @p353 @p351 @p349 @p347 @p345) :args (@t115)) % 126.57/129.42 (step @p373 :rule cong :premises (@p372) :args (@t117)) % 126.57/129.42 (step @p374 :rule trans :premises (@p373 @p343)) % 126.57/129.42 (step @p375 :rule aci_norm :args ((= (or @t217 (or @t215 (or @t213 (or @t211 (or @t209 (or @t207 (or @t205 (or @t203 (or @t201 (or @t199 (or @t197 (or @t195 (or @t193 @t191))))))))))))) @t218))) % 126.57/129.42 (step @p376 :rule bool-and-de-morgan :args (@t192 @t190 true)) % 126.57/129.42 (step @p377 :rule refl :args (@t195)) % 126.57/129.42 (step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or @t195 (not (and @t192 @t190))))) % 126.57/129.42 (step @p379 :rule bool-and-de-morgan :args (@t194 @t192 (and @t190))) % 126.57/129.42 (step @p380 :rule trans :premises (@p379 @p378)) % 126.57/129.42 (step @p381 :rule refl :args (@t197)) % 126.57/129.42 (step @p382 :rule nary_cong :premises (@p381 @p380) :args ((or @t197 (not (and @t194 @t192 @t190))))) % 126.57/129.42 (step @p383 :rule bool-and-de-morgan :args (@t196 @t194 (and @t192 @t190))) % 126.57/129.42 (step @p384 :rule trans :premises (@p383 @p382)) % 126.57/129.42 (step @p385 :rule refl :args (@t199)) % 126.57/129.42 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t199 (not (and @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p387 :rule bool-and-de-morgan :args (@t198 @t196 (and @t194 @t192 @t190))) % 126.57/129.42 (step @p388 :rule trans :premises (@p387 @p386)) % 126.57/129.42 (step @p389 :rule refl :args (@t201)) % 126.57/129.42 (step @p390 :rule nary_cong :premises (@p389 @p388) :args ((or @t201 (not (and @t198 @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p391 :rule bool-and-de-morgan :args (@t200 @t198 (and @t196 @t194 @t192 @t190))) % 126.57/129.42 (step @p392 :rule trans :premises (@p391 @p390)) % 126.57/129.42 (step @p393 :rule refl :args (@t203)) % 126.57/129.42 (step @p394 :rule nary_cong :premises (@p393 @p392) :args ((or @t203 (not (and @t200 @t198 @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p395 :rule bool-and-de-morgan :args (@t202 @t200 (and @t198 @t196 @t194 @t192 @t190))) % 126.57/129.42 (step @p396 :rule trans :premises (@p395 @p394)) % 126.57/129.42 (step @p397 :rule refl :args (@t205)) % 126.57/129.42 (step @p398 :rule nary_cong :premises (@p397 @p396) :args ((or @t205 (not (and @t202 @t200 @t198 @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p399 :rule bool-and-de-morgan :args (@t204 @t202 (and @t200 @t198 @t196 @t194 @t192 @t190))) % 126.57/129.42 (step @p400 :rule trans :premises (@p399 @p398)) % 126.57/129.42 (step @p401 :rule refl :args (@t207)) % 126.57/129.42 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or @t207 (not (and @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p403 :rule bool-and-de-morgan :args (@t206 @t204 (and @t202 @t200 @t198 @t196 @t194 @t192 @t190))) % 126.57/129.42 (step @p404 :rule trans :premises (@p403 @p402)) % 126.57/129.42 (step @p405 :rule refl :args (@t209)) % 126.57/129.42 (step @p406 :rule nary_cong :premises (@p405 @p404) :args ((or @t209 (not (and @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p407 :rule bool-and-de-morgan :args (@t208 @t206 (and @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))) % 126.57/129.42 (step @p408 :rule trans :premises (@p407 @p406)) % 126.57/129.42 (step @p409 :rule refl :args (@t211)) % 126.57/129.42 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((or @t211 (not (and @t208 @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p411 :rule bool-and-de-morgan :args (@t210 @t208 (and @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))) % 126.57/129.42 (step @p412 :rule trans :premises (@p411 @p410)) % 126.57/129.42 (step @p413 :rule refl :args (@t213)) % 126.57/129.42 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((or @t213 (not (and @t210 @t208 @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p415 :rule bool-and-de-morgan :args (@t212 @t210 (and @t208 @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))) % 126.57/129.42 (step @p416 :rule trans :premises (@p415 @p414)) % 126.57/129.42 (step @p417 :rule refl :args (@t215)) % 126.57/129.42 (step @p418 :rule nary_cong :premises (@p417 @p416) :args ((or @t215 (not (and @t212 @t210 @t208 @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p419 :rule bool-and-de-morgan :args (@t214 @t212 (and @t210 @t208 @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))) % 126.57/129.42 (step @p420 :rule trans :premises (@p419 @p418)) % 126.57/129.42 (step @p421 :rule refl :args (@t217)) % 126.57/129.42 (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or @t217 (not (and @t214 @t212 @t210 @t208 @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))))) % 126.57/129.42 (step @p423 :rule bool-and-de-morgan :args (@t216 @t214 (and @t212 @t210 @t208 @t206 @t204 @t202 @t200 @t198 @t196 @t194 @t192 @t190))) % 126.57/129.42 (step @p424 :rule trans :premises (@p423 @p422)) % 126.57/129.42 (step @p425 :rule trans :premises (@p424 @p375)) % 126.57/129.42 (step @p426 :rule cong :premises (@p425) :args (@t374)) % 126.57/129.42 (step @p427 :rule cong :premises (@p426) :args (@t375)) % 126.57/129.42 (step @p428 :rule exists-elim :args ((= (exists @t151 @t373) @t375))) % 126.57/129.42 (step @p429 :rule trans :premises (@p428 @p427)) % 126.57/129.42 (step @p430 :rule bool-impl-elim :args (@t9 @t120)) % 126.57/129.42 (step @p431 :rule cong :premises (@p430) :args (@t121)) % 126.57/129.42 (step @p432 :rule bool-impl-elim :args (@t9 @t123)) % 126.57/129.42 (step @p433 :rule cong :premises (@p432) :args (@t124)) % 126.57/129.42 (step @p434 :rule bool-impl-elim :args (@t9 @t126)) % 126.57/129.42 (step @p435 :rule cong :premises (@p434) :args (@t127)) % 126.57/129.42 (step @p436 :rule bool-impl-elim :args (@t9 @t128)) % 126.57/129.42 (step @p437 :rule cong :premises (@p436) :args (@t129)) % 126.57/129.42 (step @p438 :rule bool-impl-elim :args (@t9 @t130)) % 126.57/129.42 (step @p439 :rule cong :premises (@p438) :args (@t131)) % 126.57/129.42 (step @p440 :rule bool-impl-elim :args (@t9 @t132)) % 126.57/129.42 (step @p441 :rule cong :premises (@p440) :args (@t133)) % 126.57/129.42 (step @p442 :rule bool-impl-elim :args (@t9 @t134)) % 126.57/129.42 (step @p443 :rule cong :premises (@p442) :args (@t135)) % 126.57/129.42 (step @p444 :rule bool-impl-elim :args (@t9 @t136)) % 126.57/129.42 (step @p445 :rule cong :premises (@p444) :args (@t137)) % 126.57/129.42 (step @p446 :rule bool-impl-elim :args (@t9 @t138)) % 126.57/129.42 (step @p447 :rule cong :premises (@p446) :args (@t139)) % 126.57/129.42 (step @p448 :rule bool-impl-elim :args (@t9 @t140)) % 126.57/129.42 (step @p449 :rule cong :premises (@p448) :args (@t141)) % 126.57/129.42 (step @p450 :rule bool-impl-elim :args (@t9 @t142)) % 126.57/129.42 (step @p451 :rule cong :premises (@p450) :args (@t143)) % 126.57/129.42 (step @p452 :rule bool-impl-elim :args (@t9 @t144)) % 126.57/129.42 (step @p453 :rule cong :premises (@p452) :args (@t145)) % 126.57/129.42 (step @p454 :rule bool-impl-elim :args (@t9 @t146)) % 126.57/129.42 (step @p455 :rule cong :premises (@p454) :args (@t147)) % 126.57/129.42 (step @p456 :rule bool-impl-elim :args (@t9 @t148)) % 126.57/129.42 (step @p457 :rule cong :premises (@p456) :args (@t149)) % 126.57/129.42 (step @p458 :rule nary_cong :premises (@p457 @p455 @p453 @p451 @p449 @p447 @p445 @p443 @p441 @p439 @p437 @p435 @p433 @p431) :args (@t150)) % 126.57/129.42 (step @p459 :rule cong :premises (@p458) :args (@t152)) % 126.57/129.42 (step @p460 :rule trans :premises (@p459 @p429)) % 126.57/129.42 (step @p461 :rule cong :premises (@p460 @p374) :args (@t153)) % 126.57/129.42 (step @p462 :rule cong :premises (@p274 @p461) :args (@t154)) % 126.57/129.42 (step @p463 :rule cong :premises (@p462) :args (@t155)) % 126.57/129.42 (step @p464 :rule trans :premises (@p463 @p288)) % 126.57/129.42 (step @p465 :rule nary_cong :premises (@p464 @p277) :args (@t156)) % 126.57/129.42 (step @p466 :rule cong :premises (@p465) :args (@t157)) % 126.57/129.42 (step @p467 :rule trans :premises (@p466 @p88)) % 126.57/129.42 (step @p468 :rule cong :premises (@p467) :args (@t158)) % 126.57/129.42 (step @p469 :rule eq_resolve :premises (@p2 @p468)) % 126.57/129.42 (step @p470 :rule not_and :premises (@p469)) % 126.57/129.42 (step @p471 :rule chain_m_resolution :premises (@p470 @p79) :args (@t376 @t285 (@list @t222))) % 126.57/129.42 (step @p472 :rule refl :args (@t426)) % 126.57/129.42 (step @p473 :rule bool-double-not-elim :args (@t348)) % 126.57/129.42 (step @p474 :rule nary_cong :premises (@p473 @p472) :args ((or (not @t376) @t426))) % 126.57/129.42 (assume-push @p552 @t376) % 126.57/129.42 (step @p476 :rule skolemize :premises (@p552)) % 126.57/129.42 (step-pop @p553 :rule scope :premises (@p476)) % 126.57/129.42 (step @p477 :rule process_scope :premises (@p553) :args (@t426)) % 126.57/129.42 (step @p479 :rule implies_elim :premises (@p477)) % 126.57/129.42 (step @p480 :rule eq_resolve :premises (@p479 @p474)) % 126.57/129.42 (step @p481 :rule chain_m_resolution :premises (@p480 @p471) :args (@t426 @t427 (@list @t348))) % 126.57/129.42 (step @p482 :rule cnf_or_neg :args (@t425 1)) % 126.57/129.42 (step @p483 :rule chain_m_resolution :premises (@p482 @p481) :args ((not @t424) @t427 @t428)) % 126.57/129.42 (step @p484 :rule bool-double-not-elim :args (@t422)) % 126.57/129.42 (step @p485 :rule refl :args (@t425)) % 126.57/129.42 (step @p486 :rule nary_cong :premises (@p485 @p484) :args ((or @t425 (not @t423)))) % 126.57/129.42 (step @p487 :rule cnf_or_neg :args (@t425 2)) % 126.57/129.42 (step @p488 :rule eq_resolve :premises (@p487 @p486)) % 126.57/129.42 (step @p489 :rule reordering :premises (@p488) :args ((or @t422 @t425))) % 126.57/129.42 (step @p490 :rule chain_m_resolution :premises (@p489 @p481) :args (@t422 @t427 @t428)) % 126.57/129.42 (step @p491 :rule aci_norm :args ((= @t379 (or @t7 @t378)))) % 126.57/129.42 (step @p492 :rule cong :premises (@p491) :args (@t380)) % 126.57/129.42 (step @p493 :rule cong :premises (@p492) :args (@t381)) % 126.57/129.42 (step @p494 :rule aci_norm :args ((= @t382 (or @t13 @t378)))) % 126.57/129.42 (step @p495 :rule cong :premises (@p494) :args (@t383)) % 126.57/129.42 (step @p496 :rule cong :premises (@p495) :args (@t384)) % 126.57/129.42 (step @p497 :rule aci_norm :args ((= @t385 (or @t16 @t378)))) % 126.57/129.42 (step @p498 :rule cong :premises (@p497) :args (@t386)) % 126.57/129.42 (step @p499 :rule cong :premises (@p498) :args (@t387)) % 126.57/129.42 (step @p500 :rule aci_norm :args ((= @t403 (or @t28 @t378)))) % 126.57/129.42 (step @p501 :rule cong :premises (@p500) :args (@t404)) % 126.57/129.42 (step @p502 :rule cong :premises (@p501) :args (@t405)) % 126.57/129.42 (step @p503 :rule aci_norm :args ((= @t406 (or @t30 @t378)))) % 126.57/129.42 (step @p504 :rule cong :premises (@p503) :args (@t407)) % 126.57/129.42 (step @p505 :rule cong :premises (@p504) :args (@t408)) % 126.57/129.42 (step @p506 :rule aci_norm :args ((= @t409 (or @t32 @t378)))) % 126.57/129.42 (step @p507 :rule cong :premises (@p506) :args (@t410)) % 126.57/129.42 (step @p508 :rule cong :premises (@p507) :args (@t411)) % 126.57/129.42 (step @p509 :rule aci_norm :args ((= @t388 (or @t18 @t378)))) % 126.57/129.42 (step @p510 :rule cong :premises (@p509) :args (@t389)) % 126.57/129.42 (step @p511 :rule cong :premises (@p510) :args (@t390)) % 126.57/129.42 (step @p512 :rule aci_norm :args ((= @t391 (or @t20 @t378)))) % 126.57/129.42 (step @p513 :rule cong :premises (@p512) :args (@t392)) % 126.57/129.42 (step @p514 :rule cong :premises (@p513) :args (@t393)) % 126.57/129.42 (step @p515 :rule aci_norm :args ((= @t394 (or @t22 @t378)))) % 126.57/129.42 (step @p516 :rule cong :premises (@p515) :args (@t395)) % 126.57/129.42 (step @p517 :rule cong :premises (@p516) :args (@t396)) % 126.57/129.42 (step @p518 :rule aci_norm :args ((= @t397 (or @t24 @t378)))) % 126.57/129.42 (step @p519 :rule cong :premises (@p518) :args (@t398)) % 126.57/129.42 (step @p520 :rule cong :premises (@p519) :args (@t399)) % 126.57/129.42 (step @p521 :rule aci_norm :args ((= @t400 (or @t26 @t378)))) % 126.57/129.42 (step @p522 :rule cong :premises (@p521) :args (@t401)) % 126.57/129.42 (step @p523 :rule cong :premises (@p522) :args (@t402)) % 126.57/129.42 (step @p524 :rule aci_norm :args ((= @t412 (or @t34 @t378)))) % 126.57/129.42 (step @p525 :rule cong :premises (@p524) :args (@t413)) % 126.57/129.42 (step @p526 :rule cong :premises (@p525) :args (@t414)) % 126.57/129.42 (step @p527 :rule aci_norm :args ((= @t415 (or @t36 @t378)))) % 126.57/129.42 (step @p528 :rule cong :premises (@p527) :args (@t416)) % 126.57/129.42 (step @p529 :rule cong :premises (@p528) :args (@t417)) % 126.57/129.42 (step @p530 :rule aci_norm :args ((= @t418 (or @t38 @t378)))) % 126.57/129.42 (step @p531 :rule cong :premises (@p530) :args (@t419)) % 126.57/129.42 (step @p532 :rule cong :premises (@p531) :args (@t420)) % 126.57/129.42 (step @p533 :rule nary_cong :premises (@p532 @p529 @p526 @p523 @p520 @p517 @p514 @p511 @p508 @p505 @p502 @p499 @p496 @p493) :args (@t429)) % 126.57/129.42 (step @p534 :rule cong :premises (@p533) :args (@t430)) % 126.57/129.42 (step @p535 :rule nary_cong :premises (@p532 @p529 @p526 @p508 @p505 @p502 @p523 @p520 @p517 @p514 @p511 @p499 @p496 @p493) :args (@t421)) % 126.57/129.42 (step @p536 :rule cong :premises (@p535) :args (@t422)) % 126.57/129.42 (step @p537 :rule cong :premises (@p536 @p534) :args ((= @t422 @t430))) % 126.57/129.42 (step @p538 :rule aci_norm :args ((= @t421 @t429))) % 126.57/129.42 (step @p539 :rule cong :premises (@p538) :args (@t422)) % 126.57/129.42 (step @p540 :rule symm :premises (@p539)) % 126.57/129.42 (step @p541 :rule cong :premises (@p540 @p539) :args ((= @t430 @t422))) % 126.57/129.42 (step @p542 :rule trans :premises (@p541 @p537)) % 126.57/129.42 (step @p543 :rule true_elim :premises (@p542)) % 126.57/129.42 (step @p544 :rule quant_var_reordering :args ((= (forall (@list @t4 @t5 @t15 @t12) @t429) @t430))) % 126.57/129.42 (step @p545 :rule alpha_equiv :args ((forall (@list @t431 @t432 @t437 @t436) (or (not (forall @t435 (or @t434 (tptp.hollywood @t433 @t431)))) (not (forall @t435 (or @t434 (tptp.city @t433 @t431)))) (not (forall @t435 (or @t434 (tptp.event @t433 @t432)))) (not (forall @t435 (or @t434 (tptp.chevy @t433 @t437)))) (not (forall @t435 (or @t434 (tptp.car @t433 @t437)))) (not (forall @t435 (or @t434 (tptp.white @t433 @t437)))) (not (forall @t435 (or @t434 (tptp.dirty @t433 @t437)))) (not (forall @t435 (or @t434 (tptp.old @t433 @t437)))) (not (forall @t435 (or @t434 (tptp.street @t433 @t436)))) (not (forall @t435 (or @t434 (tptp.way @t433 @t436)))) (not (forall @t435 (or @t434 (tptp.lonely @t433 @t436)))) (not (forall @t435 (or @t434 (tptp.barrel @t433 @t432 @t437)))) (not (forall @t435 (or @t434 (tptp.down @t433 @t432 @t436)))) (not (forall @t435 (or @t434 (tptp.in @t433 @t432 @t431)))))) @t438 (@list @t6 @t4 @t5 @t12 @t15))) % 126.57/129.42 (step @p546 :rule alpha_equiv :args (@t424 (@list @t6 @t43 @t44 @t47 @t50) @t438)) % 126.57/129.42 (step @p547 :rule trans :premises (@p546 @p545 @p544 @p543)) % 126.57/129.42 (step @p548 :rule equiv_elim2 :premises (@p547)) % 126.57/129.42 (step @p549 false :rule chain_m_resolution :premises (@p548 @p490 @p483) :args (false @t282 (@list @t422 @t424))) % 126.57/129.42 ) % 126.57/129.42 % SZS output end Proof % 126.57/129.42 % cvc5 exiting %------------------------------------------------------------------------------