%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL946_10 : 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 : n026.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 126.50s 128.98s % Output : Proof 126.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL946_10 : TPTP v9.3.1. Bugfixed v9.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.38 % Computer : n026.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sat Sep 5 01:26:40 UTC 2026 % 0.11/0.38 % CPUTime : % 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF % 126.50/128.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 126.50/128.98 --- Run --no-e-matching --full-saturate-quant at 6... % 126.50/128.98 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 126.50/128.98 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 126.50/128.98 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 126.50/128.98 --- Run --trigger-sel=max --full-saturate-quant at 15... % 126.50/128.98 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 126.50/128.98 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.50/128.98 --- Run --prenex-quant=none --full-saturate-quant at 30... % 126.50/128.98 % SZS status Theorem % 126.50/128.98 % SZS output start Proof % 126.50/128.98 ( % 126.50/128.98 (declare-sort |tptp.'$world'| 0) % 126.50/128.98 (declare-sort $$unsorted 0) % 126.50/128.98 (declare-const tptp.young (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.white (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.way (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.street (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.seat (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.old (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.man (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.lonely (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.in (-> |tptp.'$world'| $$unsorted $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.hollywood (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.barrel (-> |tptp.'$world'| $$unsorted $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.qmltpeq (-> |tptp.'$world'| $$unsorted $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.car (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.dirty (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.chevy (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.city (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const |tptp.'$local_world'| |tptp.'$world'|) % 126.50/128.98 (declare-const tptp.front (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.down (-> |tptp.'$world'| $$unsorted $$unsorted Bool)) % 126.50/128.98 (declare-const |tptp.'$accessible_world'| (-> |tptp.'$world'| |tptp.'$world'| Bool)) % 126.50/128.98 (declare-const tptp.event (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.fellow (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (declare-const tptp.furniture (-> |tptp.'$world'| $$unsorted Bool)) % 126.50/128.98 (define @t1 () (@var "W" |tptp.'$world'|)) % 126.50/128.98 (define @t2 () (@list @t1)) % 126.50/128.98 (define @t3 () (@var "U" |tptp.'$world'|)) % 126.50/128.98 (define @t4 () (@var "V" |tptp.'$world'|)) % 126.50/128.98 (define @t5 () (@var "X" $$unsorted)) % 126.50/128.98 (define @t6 () (@var "W0" |tptp.'$world'|)) % 126.50/128.98 (define @t7 () (|tptp.'$accessible_world'| @t1 @t6)) % 126.50/128.98 (define @t8 () (@list @t5 @t6)) % 126.50/128.98 (define @t9 () (|tptp.'$accessible_world'| |tptp.'$local_world'| @t1)) % 126.50/128.98 (define @t10 () (@var "Y" $$unsorted)) % 126.50/128.98 (define @t11 () (@var "W2" |tptp.'$world'|)) % 126.50/128.98 (define @t12 () (@var "W1" |tptp.'$world'|)) % 126.50/128.98 (define @t13 () (|tptp.'$accessible_world'| @t12 @t11)) % 126.50/128.98 (define @t14 () (@list @t11)) % 126.50/128.98 (define @t15 () (|tptp.'$accessible_world'| @t6 @t12)) % 126.50/128.98 (define @t16 () (@list @t10 @t12)) % 126.50/128.98 (define @t17 () (@var "Z" $$unsorted)) % 126.50/128.98 (define @t18 () (@var "W3" |tptp.'$world'|)) % 126.50/128.98 (define @t19 () (|tptp.'$accessible_world'| @t11 @t18)) % 126.50/128.98 (define @t20 () (@list @t18)) % 126.50/128.98 (define @t21 () (@var "C" $$unsorted)) % 126.50/128.98 (define @t22 () (@var "B" $$unsorted)) % 126.50/128.98 (define @t23 () (@var "A" $$unsorted)) % 126.50/128.98 (define @t24 () (forall @t20 (=> @t19 (tptp.qmltpeq @t18 @t23 @t22)))) % 126.50/128.98 (define @t25 () (@list @t21 @t11)) % 126.50/128.98 (define @t26 () (@list @t22 @t12)) % 126.50/128.98 (define @t27 () (@list @t23 @t6)) % 126.50/128.98 (define @t28 () (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t23 @t22)))) % 126.50/128.98 (define @t29 () (@var "X28" $$unsorted)) % 126.50/128.98 (define @t30 () (@var "X30" $$unsorted)) % 126.50/128.98 (define @t31 () (tptp.in @t12 @t30 @t29)) % 126.50/128.98 (define @t32 () (@list @t12)) % 126.50/128.98 (define @t33 () (forall @t32 (=> @t15 @t31))) % 126.50/128.98 (define @t34 () (@var "X27" $$unsorted)) % 126.50/128.98 (define @t35 () (tptp.qmltpeq @t12 @t34 @t30)) % 126.50/128.98 (define @t36 () (forall @t32 (=> @t15 @t35))) % 126.50/128.98 (define @t37 () (@var "X29" $$unsorted)) % 126.50/128.98 (define @t38 () (tptp.in @t12 @t37 @t29)) % 126.50/128.98 (define @t39 () (forall @t32 (=> @t15 @t38))) % 126.50/128.98 (define @t40 () (@var "X26" $$unsorted)) % 126.50/128.98 (define @t41 () (tptp.qmltpeq @t12 @t40 @t37)) % 126.50/128.98 (define @t42 () (forall @t32 (=> @t15 @t41))) % 126.50/128.98 (define @t43 () (tptp.young @t12 @t34)) % 126.50/128.98 (define @t44 () (forall @t32 (=> @t15 @t43))) % 126.50/128.98 (define @t45 () (tptp.man @t12 @t34)) % 126.50/128.98 (define @t46 () (forall @t32 (=> @t15 @t45))) % 126.50/128.98 (define @t47 () (tptp.fellow @t12 @t34)) % 126.50/128.98 (define @t48 () (forall @t32 (=> @t15 @t47))) % 126.50/128.98 (define @t49 () (tptp.young @t12 @t40)) % 126.50/128.98 (define @t50 () (forall @t32 (=> @t15 @t49))) % 126.50/128.98 (define @t51 () (tptp.man @t12 @t40)) % 126.50/128.98 (define @t52 () (forall @t32 (=> @t15 @t51))) % 126.50/128.98 (define @t53 () (tptp.fellow @t12 @t40)) % 126.50/128.98 (define @t54 () (forall @t32 (=> @t15 @t53))) % 126.50/128.98 (define @t55 () (tptp.qmltpeq @t11 @t40 @t34)) % 126.50/128.98 (define @t56 () (forall @t14 (=> @t13 @t55))) % 126.50/128.98 (define @t57 () (not @t56)) % 126.50/128.98 (define @t58 () (=> @t15 @t57)) % 126.50/128.98 (define @t59 () (forall @t32 @t58)) % 126.50/128.98 (define @t60 () (tptp.front @t12 @t29)) % 126.50/128.98 (define @t61 () (forall @t32 (=> @t15 @t60))) % 126.50/128.98 (define @t62 () (tptp.furniture @t12 @t29)) % 126.50/128.98 (define @t63 () (forall @t32 (=> @t15 @t62))) % 126.50/128.98 (define @t64 () (tptp.seat @t12 @t29)) % 126.50/128.98 (define @t65 () (forall @t32 (=> @t15 @t64))) % 126.50/128.98 (define @t66 () (@var "X22" $$unsorted)) % 126.50/128.98 (define @t67 () (@var "X23" $$unsorted)) % 126.50/128.98 (define @t68 () (tptp.in @t12 @t67 @t66)) % 126.50/128.98 (define @t69 () (forall @t32 (=> @t15 @t68))) % 126.50/128.98 (define @t70 () (@var "X24" $$unsorted)) % 126.50/128.98 (define @t71 () (tptp.down @t12 @t67 @t70)) % 126.50/128.98 (define @t72 () (forall @t32 (=> @t15 @t71))) % 126.50/128.98 (define @t73 () (@var "X25" $$unsorted)) % 126.50/128.98 (define @t74 () (tptp.barrel @t12 @t67 @t73)) % 126.50/128.98 (define @t75 () (forall @t32 (=> @t15 @t74))) % 126.50/128.98 (define @t76 () (tptp.old @t12 @t73)) % 126.50/128.98 (define @t77 () (forall @t32 (=> @t15 @t76))) % 126.50/128.98 (define @t78 () (tptp.dirty @t12 @t73)) % 126.50/128.98 (define @t79 () (forall @t32 (=> @t15 @t78))) % 126.50/128.98 (define @t80 () (tptp.white @t12 @t73)) % 126.50/128.98 (define @t81 () (forall @t32 (=> @t15 @t80))) % 126.50/128.98 (define @t82 () (tptp.car @t12 @t73)) % 126.50/128.98 (define @t83 () (forall @t32 (=> @t15 @t82))) % 126.50/128.98 (define @t84 () (tptp.chevy @t12 @t73)) % 126.50/128.98 (define @t85 () (forall @t32 (=> @t15 @t84))) % 126.50/128.98 (define @t86 () (tptp.lonely @t12 @t70)) % 126.50/128.98 (define @t87 () (forall @t32 (=> @t15 @t86))) % 126.50/128.98 (define @t88 () (tptp.way @t12 @t70)) % 126.50/128.98 (define @t89 () (forall @t32 (=> @t15 @t88))) % 126.50/128.98 (define @t90 () (tptp.street @t12 @t70)) % 126.50/128.98 (define @t91 () (forall @t32 (=> @t15 @t90))) % 126.50/128.98 (define @t92 () (tptp.event @t12 @t67)) % 126.50/128.98 (define @t93 () (forall @t32 (=> @t15 @t92))) % 126.50/128.98 (define @t94 () (tptp.city @t12 @t66)) % 126.50/128.98 (define @t95 () (forall @t32 (=> @t15 @t94))) % 126.50/128.98 (define @t96 () (tptp.hollywood @t12 @t66)) % 126.50/128.98 (define @t97 () (forall @t32 (=> @t15 @t96))) % 126.50/128.98 (define @t98 () (and @t97 @t95 @t93 @t91 @t89 @t87 @t85 @t83 @t81 @t79 @t77 @t75 @t72 @t69 @t65 @t63 @t61 @t59 @t54 @t52 @t50 @t48 @t46 @t44 @t42 @t39 @t36 @t33)) % 126.50/128.98 (define @t99 () (@list @t66 @t67 @t70 @t73 @t40 @t34 @t29 @t37 @t30)) % 126.50/128.98 (define @t100 () (exists @t99 @t98)) % 126.50/128.98 (define @t101 () (@var "X19" $$unsorted)) % 126.50/128.98 (define @t102 () (@var "X21" $$unsorted)) % 126.50/128.98 (define @t103 () (tptp.in @t12 @t102 @t101)) % 126.50/128.98 (define @t104 () (forall @t32 (=> @t15 @t103))) % 126.50/128.98 (define @t105 () (@var "X18" $$unsorted)) % 126.50/128.98 (define @t106 () (tptp.qmltpeq @t12 @t105 @t102)) % 126.50/128.98 (define @t107 () (forall @t32 (=> @t15 @t106))) % 126.50/128.98 (define @t108 () (@var "X20" $$unsorted)) % 126.50/128.98 (define @t109 () (tptp.in @t12 @t108 @t101)) % 126.50/128.98 (define @t110 () (forall @t32 (=> @t15 @t109))) % 126.50/128.98 (define @t111 () (@var "X17" $$unsorted)) % 126.50/128.98 (define @t112 () (tptp.qmltpeq @t12 @t111 @t108)) % 126.50/128.98 (define @t113 () (forall @t32 (=> @t15 @t112))) % 126.50/128.98 (define @t114 () (tptp.young @t12 @t105)) % 126.50/128.98 (define @t115 () (forall @t32 (=> @t15 @t114))) % 126.50/128.98 (define @t116 () (tptp.man @t12 @t105)) % 126.50/128.98 (define @t117 () (forall @t32 (=> @t15 @t116))) % 126.50/128.98 (define @t118 () (tptp.fellow @t12 @t105)) % 126.50/128.98 (define @t119 () (forall @t32 (=> @t15 @t118))) % 126.50/128.98 (define @t120 () (tptp.young @t12 @t111)) % 126.50/128.98 (define @t121 () (forall @t32 (=> @t15 @t120))) % 126.50/128.98 (define @t122 () (tptp.man @t12 @t111)) % 126.50/128.98 (define @t123 () (forall @t32 (=> @t15 @t122))) % 126.50/128.98 (define @t124 () (tptp.fellow @t12 @t111)) % 126.50/128.98 (define @t125 () (forall @t32 (=> @t15 @t124))) % 126.50/128.98 (define @t126 () (tptp.qmltpeq @t11 @t111 @t105)) % 126.50/128.98 (define @t127 () (forall @t14 (=> @t13 @t126))) % 126.50/128.98 (define @t128 () (not @t127)) % 126.50/128.98 (define @t129 () (=> @t15 @t128)) % 126.50/128.98 (define @t130 () (forall @t32 @t129)) % 126.50/128.98 (define @t131 () (tptp.front @t12 @t101)) % 126.50/128.98 (define @t132 () (forall @t32 (=> @t15 @t131))) % 126.50/128.98 (define @t133 () (tptp.furniture @t12 @t101)) % 126.50/128.98 (define @t134 () (forall @t32 (=> @t15 @t133))) % 126.50/128.98 (define @t135 () (tptp.seat @t12 @t101)) % 126.50/128.98 (define @t136 () (forall @t32 (=> @t15 @t135))) % 126.50/128.98 (define @t137 () (@var "X13" $$unsorted)) % 126.50/128.98 (define @t138 () (@var "X14" $$unsorted)) % 126.50/128.98 (define @t139 () (tptp.in @t12 @t138 @t137)) % 126.50/128.98 (define @t140 () (forall @t32 (=> @t15 @t139))) % 126.50/128.98 (define @t141 () (@var "X16" $$unsorted)) % 126.50/128.98 (define @t142 () (tptp.down @t12 @t138 @t141)) % 126.50/128.98 (define @t143 () (forall @t32 (=> @t15 @t142))) % 126.50/128.98 (define @t144 () (@var "X15" $$unsorted)) % 126.50/128.98 (define @t145 () (tptp.barrel @t12 @t138 @t144)) % 126.50/128.98 (define @t146 () (forall @t32 (=> @t15 @t145))) % 126.50/128.98 (define @t147 () (tptp.lonely @t12 @t141)) % 126.50/128.98 (define @t148 () (forall @t32 (=> @t15 @t147))) % 126.50/128.98 (define @t149 () (tptp.way @t12 @t141)) % 126.50/128.98 (define @t150 () (forall @t32 (=> @t15 @t149))) % 126.50/128.98 (define @t151 () (tptp.street @t12 @t141)) % 126.50/128.98 (define @t152 () (forall @t32 (=> @t15 @t151))) % 126.50/128.98 (define @t153 () (tptp.old @t12 @t144)) % 126.50/128.98 (define @t154 () (forall @t32 (=> @t15 @t153))) % 126.50/128.98 (define @t155 () (tptp.dirty @t12 @t144)) % 126.50/128.98 (define @t156 () (forall @t32 (=> @t15 @t155))) % 126.50/128.98 (define @t157 () (tptp.white @t12 @t144)) % 126.50/128.98 (define @t158 () (forall @t32 (=> @t15 @t157))) % 126.50/128.98 (define @t159 () (tptp.car @t12 @t144)) % 126.50/128.98 (define @t160 () (forall @t32 (=> @t15 @t159))) % 126.50/128.98 (define @t161 () (tptp.chevy @t12 @t144)) % 126.50/128.98 (define @t162 () (forall @t32 (=> @t15 @t161))) % 126.50/128.98 (define @t163 () (tptp.event @t12 @t138)) % 126.50/128.98 (define @t164 () (forall @t32 (=> @t15 @t163))) % 126.50/128.98 (define @t165 () (tptp.city @t12 @t137)) % 126.50/128.98 (define @t166 () (forall @t32 (=> @t15 @t165))) % 126.50/128.98 (define @t167 () (tptp.hollywood @t12 @t137)) % 126.50/128.98 (define @t168 () (forall @t32 (=> @t15 @t167))) % 126.50/128.98 (define @t169 () (and @t168 @t166 @t164 @t162 @t160 @t158 @t156 @t154 @t152 @t150 @t148 @t146 @t143 @t140 @t136 @t134 @t132 @t130 @t125 @t123 @t121 @t119 @t117 @t115 @t113 @t110 @t107 @t104)) % 126.50/128.98 (define @t170 () (@list @t137 @t138 @t144 @t141 @t111 @t105 @t101 @t108 @t102)) % 126.50/128.98 (define @t171 () (exists @t170 @t169)) % 126.50/128.98 (define @t172 () (=> @t171 @t100)) % 126.50/128.98 (define @t173 () (=> @t7 @t172)) % 126.50/128.98 (define @t174 () (@list @t6)) % 126.50/128.98 (define @t175 () (forall @t174 @t173)) % 126.50/128.98 (define @t176 () (@var "X10" $$unsorted)) % 126.50/128.98 (define @t177 () (@var "X12" $$unsorted)) % 126.50/128.98 (define @t178 () (tptp.in @t12 @t177 @t176)) % 126.50/128.98 (define @t179 () (forall @t32 (=> @t15 @t178))) % 126.50/128.98 (define @t180 () (@var "X9" $$unsorted)) % 126.50/128.98 (define @t181 () (tptp.qmltpeq @t12 @t180 @t177)) % 126.50/128.98 (define @t182 () (forall @t32 (=> @t15 @t181))) % 126.50/128.98 (define @t183 () (@var "X11" $$unsorted)) % 126.50/128.98 (define @t184 () (tptp.in @t12 @t183 @t176)) % 126.50/128.98 (define @t185 () (forall @t32 (=> @t15 @t184))) % 126.50/128.98 (define @t186 () (@var "X8" $$unsorted)) % 126.50/128.98 (define @t187 () (tptp.qmltpeq @t12 @t186 @t183)) % 126.50/128.98 (define @t188 () (forall @t32 (=> @t15 @t187))) % 126.50/128.98 (define @t189 () (tptp.young @t12 @t180)) % 126.50/128.98 (define @t190 () (forall @t32 (=> @t15 @t189))) % 126.50/128.98 (define @t191 () (tptp.man @t12 @t180)) % 126.50/128.98 (define @t192 () (forall @t32 (=> @t15 @t191))) % 126.50/128.98 (define @t193 () (tptp.fellow @t12 @t180)) % 126.50/128.98 (define @t194 () (forall @t32 (=> @t15 @t193))) % 126.50/128.98 (define @t195 () (tptp.young @t12 @t186)) % 126.50/128.98 (define @t196 () (forall @t32 (=> @t15 @t195))) % 126.50/128.98 (define @t197 () (tptp.man @t12 @t186)) % 126.50/128.98 (define @t198 () (forall @t32 (=> @t15 @t197))) % 126.50/128.98 (define @t199 () (tptp.fellow @t12 @t186)) % 126.50/128.98 (define @t200 () (forall @t32 (=> @t15 @t199))) % 126.50/128.98 (define @t201 () (tptp.qmltpeq @t11 @t186 @t180)) % 126.50/128.98 (define @t202 () (forall @t14 (=> @t13 @t201))) % 126.50/128.98 (define @t203 () (not @t202)) % 126.50/128.98 (define @t204 () (=> @t15 @t203)) % 126.50/128.98 (define @t205 () (forall @t32 @t204)) % 126.50/128.98 (define @t206 () (tptp.front @t12 @t176)) % 126.50/128.98 (define @t207 () (forall @t32 (=> @t15 @t206))) % 126.50/128.98 (define @t208 () (tptp.furniture @t12 @t176)) % 126.50/128.98 (define @t209 () (forall @t32 (=> @t15 @t208))) % 126.50/128.98 (define @t210 () (tptp.seat @t12 @t176)) % 126.50/128.98 (define @t211 () (forall @t32 (=> @t15 @t210))) % 126.50/128.98 (define @t212 () (@var "X4" $$unsorted)) % 126.50/128.98 (define @t213 () (@var "X5" $$unsorted)) % 126.50/128.98 (define @t214 () (tptp.in @t12 @t213 @t212)) % 126.50/128.98 (define @t215 () (forall @t32 (=> @t15 @t214))) % 126.50/128.98 (define @t216 () (@var "X7" $$unsorted)) % 126.50/128.98 (define @t217 () (tptp.down @t12 @t213 @t216)) % 126.50/128.98 (define @t218 () (forall @t32 (=> @t15 @t217))) % 126.50/128.98 (define @t219 () (@var "X6" $$unsorted)) % 126.50/128.98 (define @t220 () (tptp.barrel @t12 @t213 @t219)) % 126.50/128.98 (define @t221 () (forall @t32 (=> @t15 @t220))) % 126.50/128.98 (define @t222 () (tptp.lonely @t12 @t216)) % 126.50/128.98 (define @t223 () (forall @t32 (=> @t15 @t222))) % 126.50/128.98 (define @t224 () (tptp.way @t12 @t216)) % 126.50/128.98 (define @t225 () (forall @t32 (=> @t15 @t224))) % 126.50/128.98 (define @t226 () (tptp.street @t12 @t216)) % 126.50/128.98 (define @t227 () (forall @t32 (=> @t15 @t226))) % 126.50/128.98 (define @t228 () (tptp.old @t12 @t219)) % 126.50/128.98 (define @t229 () (forall @t32 (=> @t15 @t228))) % 126.50/128.98 (define @t230 () (tptp.dirty @t12 @t219)) % 126.50/128.98 (define @t231 () (forall @t32 (=> @t15 @t230))) % 126.50/128.98 (define @t232 () (tptp.white @t12 @t219)) % 126.50/128.98 (define @t233 () (forall @t32 (=> @t15 @t232))) % 126.50/128.98 (define @t234 () (tptp.car @t12 @t219)) % 126.50/128.98 (define @t235 () (forall @t32 (=> @t15 @t234))) % 126.50/128.98 (define @t236 () (tptp.chevy @t12 @t219)) % 126.50/128.98 (define @t237 () (forall @t32 (=> @t15 @t236))) % 126.50/128.98 (define @t238 () (tptp.event @t12 @t213)) % 126.50/128.98 (define @t239 () (forall @t32 (=> @t15 @t238))) % 126.50/128.98 (define @t240 () (tptp.city @t12 @t212)) % 126.50/128.98 (define @t241 () (forall @t32 (=> @t15 @t240))) % 126.50/128.98 (define @t242 () (tptp.hollywood @t12 @t212)) % 126.50/128.98 (define @t243 () (forall @t32 (=> @t15 @t242))) % 126.50/128.98 (define @t244 () (and @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t229 @t227 @t225 @t223 @t221 @t218 @t215 @t211 @t209 @t207 @t205 @t200 @t198 @t196 @t194 @t192 @t190 @t188 @t185 @t182 @t179)) % 126.50/128.98 (define @t245 () (@list @t212 @t213 @t219 @t216 @t186 @t180 @t176 @t183 @t177)) % 126.50/128.98 (define @t246 () (exists @t245 @t244)) % 126.50/128.98 (define @t247 () (@var "X1" $$unsorted)) % 126.50/128.98 (define @t248 () (@var "X3" $$unsorted)) % 126.50/128.98 (define @t249 () (tptp.in @t12 @t248 @t247)) % 126.50/128.98 (define @t250 () (forall @t32 (=> @t15 @t249))) % 126.50/128.98 (define @t251 () (tptp.qmltpeq @t12 @t17 @t248)) % 126.50/128.98 (define @t252 () (forall @t32 (=> @t15 @t251))) % 126.50/128.98 (define @t253 () (@var "X2" $$unsorted)) % 126.50/128.98 (define @t254 () (tptp.in @t12 @t253 @t247)) % 126.50/128.98 (define @t255 () (forall @t32 (=> @t15 @t254))) % 126.50/128.98 (define @t256 () (tptp.qmltpeq @t12 @t10 @t253)) % 126.50/128.98 (define @t257 () (forall @t32 (=> @t15 @t256))) % 126.50/128.98 (define @t258 () (tptp.young @t12 @t17)) % 126.50/128.98 (define @t259 () (forall @t32 (=> @t15 @t258))) % 126.50/128.98 (define @t260 () (tptp.man @t12 @t17)) % 126.50/128.98 (define @t261 () (forall @t32 (=> @t15 @t260))) % 126.50/128.98 (define @t262 () (tptp.fellow @t12 @t17)) % 126.50/128.98 (define @t263 () (forall @t32 (=> @t15 @t262))) % 126.50/128.98 (define @t264 () (tptp.young @t12 @t10)) % 126.50/128.98 (define @t265 () (forall @t32 (=> @t15 @t264))) % 126.50/128.98 (define @t266 () (tptp.man @t12 @t10)) % 126.50/128.98 (define @t267 () (forall @t32 (=> @t15 @t266))) % 126.50/128.98 (define @t268 () (tptp.fellow @t12 @t10)) % 126.50/128.98 (define @t269 () (forall @t32 (=> @t15 @t268))) % 126.50/128.98 (define @t270 () (tptp.qmltpeq @t11 @t10 @t17)) % 126.50/128.98 (define @t271 () (forall @t14 (=> @t13 @t270))) % 126.50/128.98 (define @t272 () (not @t271)) % 126.50/128.98 (define @t273 () (=> @t15 @t272)) % 126.50/128.98 (define @t274 () (forall @t32 @t273)) % 126.50/128.98 (define @t275 () (tptp.front @t12 @t247)) % 126.50/128.98 (define @t276 () (forall @t32 (=> @t15 @t275))) % 126.50/128.98 (define @t277 () (tptp.furniture @t12 @t247)) % 126.50/128.98 (define @t278 () (forall @t32 (=> @t15 @t277))) % 126.50/128.98 (define @t279 () (tptp.seat @t12 @t247)) % 126.50/128.98 (define @t280 () (forall @t32 (=> @t15 @t279))) % 126.50/128.98 (define @t281 () (@var "U" $$unsorted)) % 126.50/128.98 (define @t282 () (@var "V" $$unsorted)) % 126.50/128.98 (define @t283 () (tptp.in @t12 @t282 @t281)) % 126.50/128.98 (define @t284 () (forall @t32 (=> @t15 @t283))) % 126.50/128.98 (define @t285 () (@var "WW" $$unsorted)) % 126.50/128.98 (define @t286 () (tptp.down @t12 @t282 @t285)) % 126.50/128.98 (define @t287 () (forall @t32 (=> @t15 @t286))) % 126.50/128.98 (define @t288 () (tptp.barrel @t12 @t282 @t5)) % 126.50/128.98 (define @t289 () (forall @t32 (=> @t15 @t288))) % 126.50/128.98 (define @t290 () (tptp.old @t12 @t5)) % 126.50/128.98 (define @t291 () (forall @t32 (=> @t15 @t290))) % 126.50/128.98 (define @t292 () (tptp.dirty @t12 @t5)) % 126.50/128.98 (define @t293 () (forall @t32 (=> @t15 @t292))) % 126.50/128.98 (define @t294 () (tptp.white @t12 @t5)) % 126.50/128.98 (define @t295 () (forall @t32 (=> @t15 @t294))) % 126.50/128.98 (define @t296 () (tptp.car @t12 @t5)) % 126.50/128.98 (define @t297 () (forall @t32 (=> @t15 @t296))) % 126.50/128.98 (define @t298 () (tptp.chevy @t12 @t5)) % 126.50/128.98 (define @t299 () (forall @t32 (=> @t15 @t298))) % 126.50/128.98 (define @t300 () (tptp.lonely @t12 @t285)) % 126.50/128.98 (define @t301 () (forall @t32 (=> @t15 @t300))) % 126.50/128.98 (define @t302 () (tptp.way @t12 @t285)) % 126.50/128.98 (define @t303 () (forall @t32 (=> @t15 @t302))) % 126.50/128.98 (define @t304 () (tptp.street @t12 @t285)) % 126.50/128.98 (define @t305 () (forall @t32 (=> @t15 @t304))) % 126.50/128.98 (define @t306 () (tptp.event @t12 @t282)) % 126.50/128.98 (define @t307 () (forall @t32 (=> @t15 @t306))) % 126.50/128.98 (define @t308 () (tptp.city @t12 @t281)) % 126.50/128.98 (define @t309 () (forall @t32 (=> @t15 @t308))) % 126.50/128.98 (define @t310 () (tptp.hollywood @t12 @t281)) % 126.50/128.98 (define @t311 () (forall @t32 (=> @t15 @t310))) % 126.50/128.98 (define @t312 () (and @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t284 @t280 @t278 @t276 @t274 @t269 @t267 @t265 @t263 @t261 @t259 @t257 @t255 @t252 @t250)) % 126.50/128.98 (define @t313 () (@list @t281 @t282 @t285 @t5 @t10 @t17 @t247 @t253 @t248)) % 126.50/128.98 (define @t314 () (exists @t313 @t312)) % 126.50/128.98 (define @t315 () (=> @t314 @t246)) % 126.50/128.98 (define @t316 () (=> @t7 @t315)) % 126.50/128.98 (define @t317 () (forall @t174 @t316)) % 126.50/128.98 (define @t318 () (and @t317 @t175)) % 126.50/128.98 (define @t319 () (forall @t2 @t318)) % 126.50/128.98 (define @t320 () (not @t319)) % 126.50/128.98 (define @t321 () (not @t15)) % 126.50/128.98 (define @t322 () (forall @t32 (or @t321 @t178))) % 126.50/128.98 (define @t323 () (not @t322)) % 126.50/128.98 (define @t324 () (forall @t32 (or @t321 @t181))) % 126.50/128.98 (define @t325 () (not @t324)) % 126.50/128.98 (define @t326 () (forall @t32 (or @t321 @t184))) % 126.50/128.98 (define @t327 () (not @t326)) % 126.50/128.98 (define @t328 () (forall @t32 (or @t321 @t187))) % 126.50/128.98 (define @t329 () (not @t328)) % 126.50/128.98 (define @t330 () (forall @t32 (or @t321 @t189))) % 126.50/128.98 (define @t331 () (not @t330)) % 126.50/128.98 (define @t332 () (forall @t32 (or @t321 @t191))) % 126.50/128.98 (define @t333 () (not @t332)) % 126.50/128.98 (define @t334 () (forall @t32 (or @t321 @t193))) % 126.50/128.98 (define @t335 () (not @t334)) % 126.50/128.98 (define @t336 () (forall @t32 (or @t321 @t195))) % 126.50/128.98 (define @t337 () (not @t336)) % 126.50/128.98 (define @t338 () (forall @t32 (or @t321 @t197))) % 126.50/128.98 (define @t339 () (not @t338)) % 126.50/128.98 (define @t340 () (forall @t32 (or @t321 @t199))) % 126.50/128.98 (define @t341 () (not @t340)) % 126.50/128.98 (define @t342 () (not @t13)) % 126.50/128.98 (define @t343 () (not (forall @t14 (or @t342 @t201)))) % 126.50/128.98 (define @t344 () (forall @t32 (or @t321 @t343))) % 126.50/128.98 (define @t345 () (not @t344)) % 126.50/128.98 (define @t346 () (forall @t32 (or @t321 @t206))) % 126.50/128.98 (define @t347 () (not @t346)) % 126.50/128.98 (define @t348 () (forall @t32 (or @t321 @t208))) % 126.50/128.98 (define @t349 () (not @t348)) % 126.50/128.98 (define @t350 () (forall @t32 (or @t321 @t210))) % 126.50/128.98 (define @t351 () (not @t350)) % 126.50/128.98 (define @t352 () (or @t351 @t349 @t347 @t345 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323)) % 126.50/128.98 (define @t353 () (@list @t186 @t180 @t176 @t183 @t177)) % 126.50/128.98 (define @t354 () (forall @t353 @t352)) % 126.50/128.98 (define @t355 () (forall @t32 (or @t321 @t214))) % 126.50/128.98 (define @t356 () (not @t355)) % 126.50/128.98 (define @t357 () (forall @t32 (or @t321 @t217))) % 126.50/128.98 (define @t358 () (not @t357)) % 126.50/128.98 (define @t359 () (forall @t32 (or @t321 @t222))) % 126.50/128.98 (define @t360 () (not @t359)) % 126.50/128.98 (define @t361 () (forall @t32 (or @t321 @t224))) % 126.50/128.98 (define @t362 () (not @t361)) % 126.50/128.98 (define @t363 () (forall @t32 (or @t321 @t226))) % 126.50/128.98 (define @t364 () (not @t363)) % 126.50/128.98 (define @t365 () (forall @t32 (or @t321 @t220))) % 126.50/128.98 (define @t366 () (not @t365)) % 126.50/128.98 (define @t367 () (forall @t32 (or @t321 @t228))) % 126.50/128.98 (define @t368 () (not @t367)) % 126.50/128.98 (define @t369 () (forall @t32 (or @t321 @t230))) % 126.50/128.98 (define @t370 () (not @t369)) % 126.50/128.98 (define @t371 () (forall @t32 (or @t321 @t232))) % 126.50/128.98 (define @t372 () (not @t371)) % 126.50/128.98 (define @t373 () (forall @t32 (or @t321 @t234))) % 126.50/128.98 (define @t374 () (not @t373)) % 126.50/128.98 (define @t375 () (forall @t32 (or @t321 @t236))) % 126.50/128.98 (define @t376 () (not @t375)) % 126.50/128.98 (define @t377 () (forall @t32 (or @t321 @t238))) % 126.50/128.98 (define @t378 () (not @t377)) % 126.50/128.98 (define @t379 () (forall @t32 (or @t321 @t240))) % 126.50/128.98 (define @t380 () (not @t379)) % 126.50/128.98 (define @t381 () (forall @t32 (or @t321 @t242))) % 126.50/128.98 (define @t382 () (not @t381)) % 126.50/128.98 (define @t383 () (or @t382 @t380 @t378 @t376 @t374 @t372 @t370 @t368 @t366 @t364 @t362 @t360 @t358 @t356)) % 126.50/128.98 (define @t384 () (@list @t212 @t213 @t219 @t216)) % 126.50/128.98 (define @t385 () (forall @t384 @t383)) % 126.50/128.98 (define @t386 () (and (not @t385) (not @t354))) % 126.50/128.98 (define @t387 () (forall @t32 (or @t321 @t249))) % 126.50/128.98 (define @t388 () (not @t387)) % 126.50/128.98 (define @t389 () (forall @t32 (or @t321 @t251))) % 126.50/128.98 (define @t390 () (not @t389)) % 126.50/128.98 (define @t391 () (forall @t32 (or @t321 @t254))) % 126.50/128.98 (define @t392 () (not @t391)) % 126.50/128.98 (define @t393 () (forall @t32 (or @t321 @t256))) % 126.50/128.98 (define @t394 () (not @t393)) % 126.50/128.98 (define @t395 () (forall @t32 (or @t321 @t258))) % 126.50/128.98 (define @t396 () (not @t395)) % 126.50/128.98 (define @t397 () (forall @t32 (or @t321 @t260))) % 126.50/128.98 (define @t398 () (not @t397)) % 126.50/128.98 (define @t399 () (forall @t32 (or @t321 @t262))) % 126.50/128.98 (define @t400 () (not @t399)) % 126.50/128.98 (define @t401 () (forall @t32 (or @t321 @t264))) % 126.50/128.98 (define @t402 () (not @t401)) % 126.50/128.98 (define @t403 () (forall @t32 (or @t321 @t266))) % 126.50/128.98 (define @t404 () (not @t403)) % 126.50/128.98 (define @t405 () (forall @t32 (or @t321 @t268))) % 126.50/128.98 (define @t406 () (not @t405)) % 126.50/128.98 (define @t407 () (not (forall @t14 (or @t342 @t270)))) % 126.50/128.98 (define @t408 () (forall @t32 (or @t321 @t407))) % 126.50/128.98 (define @t409 () (not @t408)) % 126.50/128.98 (define @t410 () (forall @t32 (or @t321 @t275))) % 126.50/128.98 (define @t411 () (not @t410)) % 126.50/128.98 (define @t412 () (forall @t32 (or @t321 @t277))) % 126.50/128.98 (define @t413 () (not @t412)) % 126.50/128.98 (define @t414 () (forall @t32 (or @t321 @t279))) % 126.50/128.98 (define @t415 () (not @t414)) % 126.50/128.98 (define @t416 () (or @t415 @t413 @t411 @t409 @t406 @t404 @t402 @t400 @t398 @t396 @t394 @t392 @t390 @t388)) % 126.50/128.98 (define @t417 () (@list @t10 @t17 @t247 @t253 @t248)) % 126.50/128.98 (define @t418 () (forall @t417 @t416)) % 126.50/128.98 (define @t419 () (forall @t32 (or @t321 @t283))) % 126.50/128.98 (define @t420 () (not @t419)) % 126.50/128.98 (define @t421 () (forall @t32 (or @t321 @t286))) % 126.50/128.98 (define @t422 () (not @t421)) % 126.50/128.98 (define @t423 () (forall @t32 (or @t321 @t300))) % 126.50/128.98 (define @t424 () (not @t423)) % 126.50/128.98 (define @t425 () (forall @t32 (or @t321 @t302))) % 126.50/128.98 (define @t426 () (not @t425)) % 126.50/128.98 (define @t427 () (forall @t32 (or @t321 @t304))) % 126.50/128.98 (define @t428 () (not @t427)) % 126.50/128.98 (define @t429 () (forall @t32 (or @t321 @t288))) % 126.50/128.98 (define @t430 () (not @t429)) % 126.50/128.98 (define @t431 () (forall @t32 (or @t321 @t290))) % 126.50/128.98 (define @t432 () (not @t431)) % 126.50/128.98 (define @t433 () (forall @t32 (or @t321 @t292))) % 126.50/128.98 (define @t434 () (not @t433)) % 126.50/128.98 (define @t435 () (forall @t32 (or @t321 @t294))) % 126.50/128.98 (define @t436 () (not @t435)) % 126.50/128.98 (define @t437 () (forall @t32 (or @t321 @t296))) % 126.50/128.98 (define @t438 () (not @t437)) % 126.50/128.98 (define @t439 () (forall @t32 (or @t321 @t298))) % 126.50/128.98 (define @t440 () (not @t439)) % 126.50/128.98 (define @t441 () (forall @t32 (or @t321 @t306))) % 126.50/128.98 (define @t442 () (not @t441)) % 126.50/128.98 (define @t443 () (forall @t32 (or @t321 @t308))) % 126.50/128.98 (define @t444 () (not @t443)) % 126.50/128.98 (define @t445 () (forall @t32 (or @t321 @t310))) % 126.50/128.98 (define @t446 () (not @t445)) % 126.50/128.98 (define @t447 () (or @t446 @t444 @t442 @t440 @t438 @t436 @t434 @t432 @t430 @t428 @t426 @t424 @t422 @t420)) % 126.50/128.98 (define @t448 () (@list @t281 @t282 @t285 @t5)) % 126.50/128.98 (define @t449 () (forall @t448 @t447)) % 126.50/128.98 (define @t450 () (@var "BOUND_VARIABLE_9315" |tptp.'$world'|)) % 126.50/128.98 (define @t451 () (or (not (|tptp.'$accessible_world'| @t450 @t6)) @t449 @t418 @t386)) % 126.50/128.98 (define @t452 () (forall (@list @t450 @t6) @t451)) % 126.50/128.98 (define @t453 () (@quantifiers_skolemize @t452 1)) % 126.50/128.98 (define @t454 () (not (|tptp.'$accessible_world'| @t453 @t12))) % 126.50/128.98 (define @t455 () (forall @t353 (or (not (forall @t32 (or @t454 @t210))) (not (forall @t32 (or @t454 @t208))) (not (forall @t32 (or @t454 @t206))) (not (forall @t32 (or @t454 @t343))) (not (forall @t32 (or @t454 @t199))) (not (forall @t32 (or @t454 @t197))) (not (forall @t32 (or @t454 @t195))) (not (forall @t32 (or @t454 @t193))) (not (forall @t32 (or @t454 @t191))) (not (forall @t32 (or @t454 @t189))) (not (forall @t32 (or @t454 @t187))) (not (forall @t32 (or @t454 @t184))) (not (forall @t32 (or @t454 @t181))) (not (forall @t32 (or @t454 @t178)))))) % 126.50/128.98 (define @t456 () (not @t455)) % 126.50/128.98 (define @t457 () (or (not (forall @t32 (or @t454 @t242))) (not (forall @t32 (or @t454 @t240))) (not (forall @t32 (or @t454 @t238))) (not (forall @t32 (or @t454 @t236))) (not (forall @t32 (or @t454 @t234))) (not (forall @t32 (or @t454 @t232))) (not (forall @t32 (or @t454 @t230))) (not (forall @t32 (or @t454 @t228))) (not (forall @t32 (or @t454 @t220))) (not (forall @t32 (or @t454 @t226))) (not (forall @t32 (or @t454 @t224))) (not (forall @t32 (or @t454 @t222))) (not (forall @t32 (or @t454 @t217))) (not (forall @t32 (or @t454 @t214))))) % 126.50/128.98 (define @t458 () (forall @t384 @t457)) % 126.50/128.98 (define @t459 () (not @t458)) % 126.50/128.98 (define @t460 () (and @t459 @t456)) % 126.50/128.98 (define @t461 () (forall @t417 (or (not (forall @t32 (or @t454 @t279))) (not (forall @t32 (or @t454 @t277))) (not (forall @t32 (or @t454 @t275))) (not (forall @t32 (or @t454 @t407))) (not (forall @t32 (or @t454 @t268))) (not (forall @t32 (or @t454 @t266))) (not (forall @t32 (or @t454 @t264))) (not (forall @t32 (or @t454 @t262))) (not (forall @t32 (or @t454 @t260))) (not (forall @t32 (or @t454 @t258))) (not (forall @t32 (or @t454 @t256))) (not (forall @t32 (or @t454 @t254))) (not (forall @t32 (or @t454 @t251))) (not (forall @t32 (or @t454 @t249)))))) % 126.50/128.98 (define @t462 () (forall @t448 (or (not (forall @t32 (or @t454 @t310))) (not (forall @t32 (or @t454 @t308))) (not (forall @t32 (or @t454 @t306))) (not (forall @t32 (or @t454 @t298))) (not (forall @t32 (or @t454 @t296))) (not (forall @t32 (or @t454 @t294))) (not (forall @t32 (or @t454 @t292))) (not (forall @t32 (or @t454 @t290))) (not (forall @t32 (or @t454 @t288))) (not (forall @t32 (or @t454 @t304))) (not (forall @t32 (or @t454 @t302))) (not (forall @t32 (or @t454 @t300))) (not (forall @t32 (or @t454 @t286))) (not (forall @t32 (or @t454 @t283)))))) % 126.50/128.98 (define @t463 () (or (not (|tptp.'$accessible_world'| (@quantifiers_skolemize @t452 0) @t453)) @t462 @t461 @t460)) % 126.50/128.98 (define @t464 () (@var "BOUND_VARIABLE_10651" $$unsorted)) % 126.50/128.98 (define @t465 () (@var "BOUND_VARIABLE_10649" $$unsorted)) % 126.50/128.98 (define @t466 () (@var "BOUND_VARIABLE_10648" |tptp.'$world'|)) % 126.50/128.98 (define @t467 () (not (|tptp.'$accessible_world'| @t453 @t466))) % 126.50/128.98 (define @t468 () (@list @t466)) % 126.50/128.98 (define @t469 () (@var "BOUND_VARIABLE_10652" $$unsorted)) % 126.50/128.98 (define @t470 () (@var "BOUND_VARIABLE_10650" $$unsorted)) % 126.50/128.98 (define @t471 () (@list @t466 @t465 @t470 @t464 @t469)) % 126.50/128.98 (define @t472 () (@var "BOUND_VARIABLE_10742" $$unsorted)) % 126.50/128.98 (define @t473 () (@var "BOUND_VARIABLE_10741" $$unsorted)) % 126.50/128.98 (define @t474 () (@var "BOUND_VARIABLE_10736" |tptp.'$world'|)) % 126.50/128.98 (define @t475 () (not (|tptp.'$accessible_world'| @t453 @t474))) % 126.50/128.98 (define @t476 () (@list @t474)) % 126.50/128.98 (define @t477 () (@var "BOUND_VARIABLE_10739" $$unsorted)) % 126.50/128.98 (define @t478 () (@var "BOUND_VARIABLE_10740" $$unsorted)) % 126.50/128.98 (define @t479 () (@var "BOUND_VARIABLE_10738" $$unsorted)) % 126.50/128.98 (define @t480 () (@var "BOUND_VARIABLE_10737" |tptp.'$world'|)) % 126.50/128.98 (define @t481 () (@list @t474 @t480 @t479 @t477 @t478 @t473 @t472)) % 126.50/128.98 (define @t482 () (not @t463)) % 126.50/128.98 (define @t483 () (not @t452)) % 126.50/128.98 (define @t484 () (@list false)) % 126.50/128.98 (define @t485 () (forall @t32 (or @t321 @t31))) % 126.50/128.98 (define @t486 () (not @t485)) % 126.50/128.98 (define @t487 () (forall @t32 (or @t321 @t35))) % 126.50/128.98 (define @t488 () (not @t487)) % 126.50/128.98 (define @t489 () (forall @t32 (or @t321 @t38))) % 126.50/128.98 (define @t490 () (not @t489)) % 126.50/128.98 (define @t491 () (forall @t32 (or @t321 @t41))) % 126.50/128.98 (define @t492 () (not @t491)) % 126.50/128.98 (define @t493 () (forall @t32 (or @t321 @t43))) % 126.50/128.98 (define @t494 () (not @t493)) % 126.50/128.98 (define @t495 () (forall @t32 (or @t321 @t45))) % 126.50/128.98 (define @t496 () (not @t495)) % 126.50/128.98 (define @t497 () (forall @t32 (or @t321 @t47))) % 126.50/128.98 (define @t498 () (not @t497)) % 126.50/128.98 (define @t499 () (forall @t32 (or @t321 @t49))) % 126.50/128.98 (define @t500 () (not @t499)) % 126.50/128.98 (define @t501 () (forall @t32 (or @t321 @t51))) % 126.50/128.98 (define @t502 () (not @t501)) % 126.50/128.98 (define @t503 () (forall @t32 (or @t321 @t53))) % 126.50/128.98 (define @t504 () (not @t503)) % 126.50/128.98 (define @t505 () (not (forall @t14 (or @t342 @t55)))) % 126.50/128.98 (define @t506 () (forall @t32 (or @t321 @t505))) % 126.50/128.98 (define @t507 () (not @t506)) % 126.50/128.98 (define @t508 () (forall @t32 (or @t321 @t60))) % 126.50/128.98 (define @t509 () (not @t508)) % 126.50/128.98 (define @t510 () (forall @t32 (or @t321 @t62))) % 126.50/128.98 (define @t511 () (not @t510)) % 126.50/128.98 (define @t512 () (forall @t32 (or @t321 @t64))) % 126.50/128.98 (define @t513 () (not @t512)) % 126.50/128.98 (define @t514 () (or @t513 @t511 @t509 @t507 @t504 @t502 @t500 @t498 @t496 @t494 @t492 @t490 @t488 @t486)) % 126.50/128.98 (define @t515 () (@list @t40 @t34 @t29 @t37 @t30)) % 126.50/128.98 (define @t516 () (forall @t515 @t514)) % 126.50/128.98 (define @t517 () (forall @t32 (or @t321 @t68))) % 126.50/128.98 (define @t518 () (not @t517)) % 126.50/128.98 (define @t519 () (forall @t32 (or @t321 @t71))) % 126.50/128.98 (define @t520 () (not @t519)) % 126.50/128.98 (define @t521 () (forall @t32 (or @t321 @t86))) % 126.50/128.98 (define @t522 () (not @t521)) % 126.50/128.98 (define @t523 () (forall @t32 (or @t321 @t88))) % 126.50/128.98 (define @t524 () (not @t523)) % 126.50/128.98 (define @t525 () (forall @t32 (or @t321 @t90))) % 126.50/128.98 (define @t526 () (not @t525)) % 126.50/128.98 (define @t527 () (forall @t32 (or @t321 @t74))) % 126.50/128.98 (define @t528 () (not @t527)) % 126.50/128.98 (define @t529 () (forall @t32 (or @t321 @t76))) % 126.50/128.98 (define @t530 () (not @t529)) % 126.50/128.98 (define @t531 () (forall @t32 (or @t321 @t78))) % 126.50/128.98 (define @t532 () (not @t531)) % 126.50/128.98 (define @t533 () (forall @t32 (or @t321 @t80))) % 126.50/128.98 (define @t534 () (not @t533)) % 126.50/128.98 (define @t535 () (forall @t32 (or @t321 @t82))) % 126.50/128.98 (define @t536 () (not @t535)) % 126.50/128.98 (define @t537 () (forall @t32 (or @t321 @t84))) % 126.50/128.98 (define @t538 () (not @t537)) % 126.50/128.98 (define @t539 () (forall @t32 (or @t321 @t92))) % 126.50/128.98 (define @t540 () (not @t539)) % 126.50/128.98 (define @t541 () (forall @t32 (or @t321 @t94))) % 126.50/128.98 (define @t542 () (not @t541)) % 126.50/128.98 (define @t543 () (forall @t32 (or @t321 @t96))) % 126.50/128.98 (define @t544 () (not @t543)) % 126.50/128.98 (define @t545 () (or @t544 @t542 @t540 @t538 @t536 @t534 @t532 @t530 @t528 @t526 @t524 @t522 @t520 @t518)) % 126.50/128.98 (define @t546 () (@list @t66 @t67 @t70 @t73)) % 126.50/128.98 (define @t547 () (forall @t546 @t545)) % 126.50/128.98 (define @t548 () (and (not @t547) (not @t516))) % 126.50/128.98 (define @t549 () (forall @t32 (or @t321 @t103))) % 126.50/128.98 (define @t550 () (not @t549)) % 126.50/128.98 (define @t551 () (forall @t32 (or @t321 @t106))) % 126.50/128.98 (define @t552 () (not @t551)) % 126.50/128.98 (define @t553 () (forall @t32 (or @t321 @t109))) % 126.50/128.98 (define @t554 () (not @t553)) % 126.50/128.98 (define @t555 () (forall @t32 (or @t321 @t112))) % 126.50/128.98 (define @t556 () (not @t555)) % 126.50/128.98 (define @t557 () (forall @t32 (or @t321 @t114))) % 126.50/128.98 (define @t558 () (not @t557)) % 126.50/128.98 (define @t559 () (forall @t32 (or @t321 @t116))) % 126.50/128.98 (define @t560 () (not @t559)) % 126.50/128.98 (define @t561 () (forall @t32 (or @t321 @t118))) % 126.50/128.98 (define @t562 () (not @t561)) % 126.50/128.98 (define @t563 () (forall @t32 (or @t321 @t120))) % 126.50/128.98 (define @t564 () (not @t563)) % 126.50/128.98 (define @t565 () (forall @t32 (or @t321 @t122))) % 126.50/128.98 (define @t566 () (not @t565)) % 126.50/128.98 (define @t567 () (forall @t32 (or @t321 @t124))) % 126.50/128.98 (define @t568 () (not @t567)) % 126.50/128.98 (define @t569 () (not (forall @t14 (or @t342 @t126)))) % 126.50/128.98 (define @t570 () (forall @t32 (or @t321 @t569))) % 126.50/128.98 (define @t571 () (not @t570)) % 126.50/128.98 (define @t572 () (forall @t32 (or @t321 @t131))) % 126.50/128.98 (define @t573 () (not @t572)) % 126.50/128.98 (define @t574 () (forall @t32 (or @t321 @t133))) % 126.50/128.98 (define @t575 () (not @t574)) % 126.50/128.98 (define @t576 () (forall @t32 (or @t321 @t135))) % 126.50/128.98 (define @t577 () (not @t576)) % 126.50/128.98 (define @t578 () (or @t577 @t575 @t573 @t571 @t568 @t566 @t564 @t562 @t560 @t558 @t556 @t554 @t552 @t550)) % 126.50/128.98 (define @t579 () (@list @t111 @t105 @t101 @t108 @t102)) % 126.50/128.98 (define @t580 () (forall @t579 @t578)) % 126.50/128.98 (define @t581 () (forall @t32 (or @t321 @t139))) % 126.50/128.98 (define @t582 () (not @t581)) % 126.50/128.98 (define @t583 () (forall @t32 (or @t321 @t142))) % 126.50/128.98 (define @t584 () (not @t583)) % 126.50/128.98 (define @t585 () (forall @t32 (or @t321 @t147))) % 126.50/128.98 (define @t586 () (not @t585)) % 126.50/128.98 (define @t587 () (forall @t32 (or @t321 @t149))) % 126.50/128.98 (define @t588 () (not @t587)) % 126.50/128.98 (define @t589 () (forall @t32 (or @t321 @t151))) % 126.50/128.98 (define @t590 () (not @t589)) % 126.50/128.98 (define @t591 () (forall @t32 (or @t321 @t145))) % 126.50/128.98 (define @t592 () (not @t591)) % 126.50/128.98 (define @t593 () (forall @t32 (or @t321 @t153))) % 126.50/128.98 (define @t594 () (not @t593)) % 126.50/128.98 (define @t595 () (forall @t32 (or @t321 @t155))) % 126.50/128.98 (define @t596 () (not @t595)) % 126.50/128.98 (define @t597 () (forall @t32 (or @t321 @t157))) % 126.50/128.98 (define @t598 () (not @t597)) % 126.50/128.98 (define @t599 () (forall @t32 (or @t321 @t159))) % 126.50/128.98 (define @t600 () (not @t599)) % 126.50/128.98 (define @t601 () (forall @t32 (or @t321 @t161))) % 126.50/128.98 (define @t602 () (not @t601)) % 126.50/128.98 (define @t603 () (forall @t32 (or @t321 @t163))) % 126.50/128.98 (define @t604 () (not @t603)) % 126.50/128.98 (define @t605 () (forall @t32 (or @t321 @t165))) % 126.50/128.98 (define @t606 () (not @t605)) % 126.50/128.98 (define @t607 () (forall @t32 (or @t321 @t167))) % 126.50/128.98 (define @t608 () (not @t607)) % 126.50/128.98 (define @t609 () (or @t608 @t606 @t604 @t602 @t600 @t598 @t596 @t594 @t592 @t590 @t588 @t586 @t584 @t582)) % 126.50/128.98 (define @t610 () (@list @t137 @t138 @t144 @t141)) % 126.50/128.98 (define @t611 () (forall @t610 @t609)) % 126.50/128.98 (define @t612 () (@var "BOUND_VARIABLE_9323" |tptp.'$world'|)) % 126.50/128.98 (define @t613 () (or (not (|tptp.'$accessible_world'| @t612 @t6)) @t611 @t580 @t548)) % 126.50/128.98 (define @t614 () (forall (@list @t612 @t6) @t613)) % 126.50/128.98 (define @t615 () (forall (@list @t612) (forall @t174 @t613))) % 126.50/128.98 (define @t616 () (forall (@list @t450) (forall @t174 @t451))) % 126.50/128.98 (define @t617 () (not @t7)) % 126.50/128.98 (define @t618 () (or @t617 @t611 @t580 @t548)) % 126.50/128.98 (define @t619 () (forall @t174 @t618)) % 126.50/128.98 (define @t620 () (forall @t2 @t619)) % 126.50/128.98 (define @t621 () (@list @t1)) % 126.50/128.98 (define @t622 () (or @t617 @t449 @t418 @t386)) % 126.50/128.98 (define @t623 () (forall @t174 @t622)) % 126.50/128.98 (define @t624 () (forall @t2 @t623)) % 126.50/128.98 (define @t625 () (and @t624 @t620)) % 126.50/128.98 (define @t626 () (or @t611 @t580 @t548)) % 126.50/128.98 (define @t627 () (or @t611 @t580)) % 126.50/128.98 (define @t628 () (or @t547 @t516)) % 126.50/128.98 (define @t629 () (not @t628)) % 126.50/128.98 (define @t630 () (not @t627)) % 126.50/128.98 (define @t631 () (=> @t630 @t629)) % 126.50/128.98 (define @t632 () (or @t545 @t514)) % 126.50/128.98 (define @t633 () (or @t544 @t542 @t540 @t526 @t524 @t522 @t538 @t536 @t534 @t532 @t530 @t528 @t520 @t518 @t513 @t511 @t509 @t507 @t504 @t502 @t500 @t498 @t496 @t494 @t492 @t490 @t488 @t486)) % 126.50/128.98 (define @t634 () (and @t543 @t541 @t539 @t525 @t523 @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485)) % 126.50/128.98 (define @t635 () (forall @t99 (not @t634))) % 126.50/128.98 (define @t636 () (not @t635)) % 126.50/128.98 (define @t637 () (or @t609 @t578)) % 126.50/128.98 (define @t638 () (or @t608 @t606 @t604 @t602 @t600 @t598 @t596 @t594 @t590 @t588 @t586 @t592 @t584 @t582 @t577 @t575 @t573 @t571 @t568 @t566 @t564 @t562 @t560 @t558 @t556 @t554 @t552 @t550)) % 126.50/128.98 (define @t639 () (and @t607 @t605 @t603 @t601 @t599 @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549)) % 126.50/128.98 (define @t640 () (forall @t170 (not @t639))) % 126.50/128.98 (define @t641 () (not @t640)) % 126.50/128.98 (define @t642 () (or @t449 @t418 @t386)) % 126.50/128.98 (define @t643 () (or @t449 @t418)) % 126.50/128.98 (define @t644 () (or @t385 @t354)) % 126.50/128.98 (define @t645 () (not @t644)) % 126.50/128.98 (define @t646 () (not @t643)) % 126.50/128.98 (define @t647 () (=> @t646 @t645)) % 126.50/128.98 (define @t648 () (or @t383 @t352)) % 126.50/128.98 (define @t649 () (or @t382 @t380 @t378 @t376 @t374 @t372 @t370 @t368 @t364 @t362 @t360 @t366 @t358 @t356 @t351 @t349 @t347 @t345 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323)) % 126.50/128.98 (define @t650 () (and @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322)) % 126.50/128.98 (define @t651 () (forall @t245 (not @t650))) % 126.50/128.98 (define @t652 () (not @t651)) % 126.50/128.98 (define @t653 () (or @t447 @t416)) % 126.50/128.98 (define @t654 () (or @t446 @t444 @t442 @t428 @t426 @t424 @t440 @t438 @t436 @t434 @t432 @t430 @t422 @t420 @t415 @t413 @t411 @t409 @t406 @t404 @t402 @t400 @t398 @t396 @t394 @t392 @t390 @t388)) % 126.50/128.98 (define @t655 () (and @t445 @t443 @t441 @t427 @t425 @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387)) % 126.50/128.98 (define @t656 () (forall @t313 (not @t655))) % 126.50/128.98 (define @t657 () (not @t656)) % 126.50/128.98 (define @t658 () (not @t614)) % 126.50/128.98 (define @t659 () (@quantifiers_skolemize @t614 1)) % 126.50/128.98 (define @t660 () (not (|tptp.'$accessible_world'| @t659 @t12))) % 126.50/128.98 (define @t661 () (forall @t515 (or (not (forall @t32 (or @t660 @t64))) (not (forall @t32 (or @t660 @t62))) (not (forall @t32 (or @t660 @t60))) (not (forall @t32 (or @t660 @t505))) (not (forall @t32 (or @t660 @t53))) (not (forall @t32 (or @t660 @t51))) (not (forall @t32 (or @t660 @t49))) (not (forall @t32 (or @t660 @t47))) (not (forall @t32 (or @t660 @t45))) (not (forall @t32 (or @t660 @t43))) (not (forall @t32 (or @t660 @t41))) (not (forall @t32 (or @t660 @t38))) (not (forall @t32 (or @t660 @t35))) (not (forall @t32 (or @t660 @t31)))))) % 126.50/128.98 (define @t662 () (not @t661)) % 126.50/128.98 (define @t663 () (or (not (forall @t32 (or @t660 @t96))) (not (forall @t32 (or @t660 @t94))) (not (forall @t32 (or @t660 @t92))) (not (forall @t32 (or @t660 @t84))) (not (forall @t32 (or @t660 @t82))) (not (forall @t32 (or @t660 @t80))) (not (forall @t32 (or @t660 @t78))) (not (forall @t32 (or @t660 @t76))) (not (forall @t32 (or @t660 @t74))) (not (forall @t32 (or @t660 @t90))) (not (forall @t32 (or @t660 @t88))) (not (forall @t32 (or @t660 @t86))) (not (forall @t32 (or @t660 @t71))) (not (forall @t32 (or @t660 @t68))))) % 126.50/128.98 (define @t664 () (forall @t546 @t663)) % 126.50/128.98 (define @t665 () (not @t664)) % 126.50/128.98 (define @t666 () (and @t665 @t662)) % 126.50/128.98 (define @t667 () (forall @t579 (or (not (forall @t32 (or @t660 @t135))) (not (forall @t32 (or @t660 @t133))) (not (forall @t32 (or @t660 @t131))) (not (forall @t32 (or @t660 @t569))) (not (forall @t32 (or @t660 @t124))) (not (forall @t32 (or @t660 @t122))) (not (forall @t32 (or @t660 @t120))) (not (forall @t32 (or @t660 @t118))) (not (forall @t32 (or @t660 @t116))) (not (forall @t32 (or @t660 @t114))) (not (forall @t32 (or @t660 @t112))) (not (forall @t32 (or @t660 @t109))) (not (forall @t32 (or @t660 @t106))) (not (forall @t32 (or @t660 @t103)))))) % 126.50/128.98 (define @t668 () (forall @t610 (or (not (forall @t32 (or @t660 @t167))) (not (forall @t32 (or @t660 @t165))) (not (forall @t32 (or @t660 @t163))) (not (forall @t32 (or @t660 @t161))) (not (forall @t32 (or @t660 @t159))) (not (forall @t32 (or @t660 @t157))) (not (forall @t32 (or @t660 @t155))) (not (forall @t32 (or @t660 @t153))) (not (forall @t32 (or @t660 @t145))) (not (forall @t32 (or @t660 @t151))) (not (forall @t32 (or @t660 @t149))) (not (forall @t32 (or @t660 @t147))) (not (forall @t32 (or @t660 @t142))) (not (forall @t32 (or @t660 @t139)))))) % 126.50/128.98 (define @t669 () (or (not (|tptp.'$accessible_world'| (@quantifiers_skolemize @t614 0) @t659)) @t668 @t667 @t666)) % 126.50/128.98 (define @t670 () (not @t669)) % 126.50/128.98 (define @t671 () (@list true)) % 126.50/128.98 (define @t672 () (@list @t669)) % 126.50/128.98 (define @t673 () (@var "BOUND_VARIABLE_11342" $$unsorted)) % 126.50/128.98 (define @t674 () (@var "BOUND_VARIABLE_11340" $$unsorted)) % 126.50/128.98 (define @t675 () (@var "BOUND_VARIABLE_11339" |tptp.'$world'|)) % 126.50/128.98 (define @t676 () (not (|tptp.'$accessible_world'| @t659 @t675))) % 126.50/128.98 (define @t677 () (@list @t675)) % 126.50/128.98 (define @t678 () (@var "BOUND_VARIABLE_11343" $$unsorted)) % 126.50/128.98 (define @t679 () (@var "BOUND_VARIABLE_11341" $$unsorted)) % 126.50/128.98 (define @t680 () (@list @t675 @t674 @t679 @t673 @t678)) % 126.50/128.98 (define @t681 () (@var "BOUND_VARIABLE_11433" $$unsorted)) % 126.50/128.98 (define @t682 () (@var "BOUND_VARIABLE_11432" $$unsorted)) % 126.50/128.98 (define @t683 () (@var "BOUND_VARIABLE_11427" |tptp.'$world'|)) % 126.50/128.98 (define @t684 () (not (|tptp.'$accessible_world'| @t659 @t683))) % 126.50/128.98 (define @t685 () (@list @t683)) % 126.50/128.98 (define @t686 () (@var "BOUND_VARIABLE_11430" $$unsorted)) % 126.50/128.98 (define @t687 () (@var "BOUND_VARIABLE_11431" $$unsorted)) % 126.50/128.98 (define @t688 () (@var "BOUND_VARIABLE_11429" $$unsorted)) % 126.50/128.98 (define @t689 () (@var "BOUND_VARIABLE_11428" |tptp.'$world'|)) % 126.50/128.98 (define @t690 () (@list @t683 @t689 @t688 @t686 @t687 @t682 @t681)) % 126.50/128.98 (assume @p1 (forall @t2 (|tptp.'$accessible_world'| @t1 @t1))) % 126.50/128.98 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and (|tptp.'$accessible_world'| @t1 @t4) (|tptp.'$accessible_world'| @t4 @t3)) (|tptp.'$accessible_world'| @t1 @t3)))) % 126.50/128.98 (assume @p3 (forall @t2 (=> @t9 (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t5 @t5)))))) % 126.50/128.98 (assume @p4 (forall @t2 (=> @t9 (forall @t8 (=> @t7 (forall @t16 (=> @t15 (=> (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t5 @t10))) (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t10 @t5))))))))))) % 126.50/128.98 (assume @p5 (forall @t2 (=> @t9 (forall @t8 (=> @t7 (forall @t16 (=> @t15 (forall (@list @t17 @t11) (=> @t13 (=> (and (forall @t20 (=> @t19 (tptp.qmltpeq @t18 @t5 @t10))) (forall @t20 (=> @t19 (tptp.qmltpeq @t18 @t10 @t17)))) (forall @t20 (=> @t19 (tptp.qmltpeq @t18 @t5 @t17))))))))))))) % 126.50/128.98 (assume @p6 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (forall @t25 (=> @t13 (=> (and @t24 (forall @t20 (=> @t19 (tptp.barrel @t18 @t23 @t21)))) (forall @t20 (=> @t19 (tptp.barrel @t18 @t22 @t21))))))))))))) % 126.50/128.98 (assume @p7 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (forall @t25 (=> @t13 (=> (and @t24 (forall @t20 (=> @t19 (tptp.barrel @t18 @t21 @t23)))) (forall @t20 (=> @t19 (tptp.barrel @t18 @t21 @t22))))))))))))) % 126.50/128.98 (assume @p8 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.car @t11 @t23)))) (forall @t14 (=> @t13 (tptp.car @t11 @t22))))))))))) % 126.50/128.98 (assume @p9 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.chevy @t11 @t23)))) (forall @t14 (=> @t13 (tptp.chevy @t11 @t22))))))))))) % 126.50/128.98 (assume @p10 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.city @t11 @t23)))) (forall @t14 (=> @t13 (tptp.city @t11 @t22))))))))))) % 126.50/128.98 (assume @p11 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.dirty @t11 @t23)))) (forall @t14 (=> @t13 (tptp.dirty @t11 @t22))))))))))) % 126.50/128.98 (assume @p12 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (forall @t25 (=> @t13 (=> (and @t24 (forall @t20 (=> @t19 (tptp.down @t18 @t23 @t21)))) (forall @t20 (=> @t19 (tptp.down @t18 @t22 @t21))))))))))))) % 126.50/128.98 (assume @p13 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (forall @t25 (=> @t13 (=> (and @t24 (forall @t20 (=> @t19 (tptp.down @t18 @t21 @t23)))) (forall @t20 (=> @t19 (tptp.down @t18 @t21 @t22))))))))))))) % 126.50/128.98 (assume @p14 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.event @t11 @t23)))) (forall @t14 (=> @t13 (tptp.event @t11 @t22))))))))))) % 126.50/128.98 (assume @p15 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.fellow @t11 @t23)))) (forall @t14 (=> @t13 (tptp.fellow @t11 @t22))))))))))) % 126.50/128.98 (assume @p16 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.front @t11 @t23)))) (forall @t14 (=> @t13 (tptp.front @t11 @t22))))))))))) % 126.50/128.98 (assume @p17 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.furniture @t11 @t23)))) (forall @t14 (=> @t13 (tptp.furniture @t11 @t22))))))))))) % 126.50/128.98 (assume @p18 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.hollywood @t11 @t23)))) (forall @t14 (=> @t13 (tptp.hollywood @t11 @t22))))))))))) % 126.50/128.98 (assume @p19 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (forall @t25 (=> @t13 (=> (and @t24 (forall @t20 (=> @t19 (tptp.in @t18 @t23 @t21)))) (forall @t20 (=> @t19 (tptp.in @t18 @t22 @t21))))))))))))) % 126.50/128.98 (assume @p20 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (forall @t25 (=> @t13 (=> (and @t24 (forall @t20 (=> @t19 (tptp.in @t18 @t21 @t23)))) (forall @t20 (=> @t19 (tptp.in @t18 @t21 @t22))))))))))))) % 126.50/128.98 (assume @p21 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.lonely @t11 @t23)))) (forall @t14 (=> @t13 (tptp.lonely @t11 @t22))))))))))) % 126.50/128.98 (assume @p22 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.man @t11 @t23)))) (forall @t14 (=> @t13 (tptp.man @t11 @t22))))))))))) % 126.50/128.98 (assume @p23 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.old @t11 @t23)))) (forall @t14 (=> @t13 (tptp.old @t11 @t22))))))))))) % 126.50/128.98 (assume @p24 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.seat @t11 @t23)))) (forall @t14 (=> @t13 (tptp.seat @t11 @t22))))))))))) % 126.50/128.98 (assume @p25 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.street @t11 @t23)))) (forall @t14 (=> @t13 (tptp.street @t11 @t22))))))))))) % 126.50/128.98 (assume @p26 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.way @t11 @t23)))) (forall @t14 (=> @t13 (tptp.way @t11 @t22))))))))))) % 126.50/128.98 (assume @p27 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.white @t11 @t23)))) (forall @t14 (=> @t13 (tptp.white @t11 @t22))))))))))) % 126.50/128.98 (assume @p28 (forall @t2 (=> @t9 (forall @t27 (=> @t7 (forall @t26 (=> @t15 (=> (and @t28 (forall @t14 (=> @t13 (tptp.young @t11 @t23)))) (forall @t14 (=> @t13 (tptp.young @t11 @t22))))))))))) % 126.50/128.98 (assume @p29 @t320) % 126.50/128.98 (assume @p30 true) % 126.50/128.98 (step @p31 :rule cnf_or_neg :args (@t463 1)) % 126.50/128.98 (step @p32 :rule cnf_or_neg :args (@t463 2)) % 126.50/128.98 (step @p33 :rule cnf_or_neg :args (@t463 3)) % 126.50/128.98 (step @p34 :rule quant_var_reordering :args ((= (forall (@list @t212 @t213 @t216 @t219) @t457) @t458))) % 126.50/128.98 (step @p35 :rule alpha_equiv :args ((forall (@list @t464 @t465 @t469 @t470) (or (not (forall @t468 (or @t467 (tptp.hollywood @t466 @t464)))) (not (forall @t468 (or @t467 (tptp.city @t466 @t464)))) (not (forall @t468 (or @t467 (tptp.event @t466 @t465)))) (not (forall @t468 (or @t467 (tptp.chevy @t466 @t470)))) (not (forall @t468 (or @t467 (tptp.car @t466 @t470)))) (not (forall @t468 (or @t467 (tptp.white @t466 @t470)))) (not (forall @t468 (or @t467 (tptp.dirty @t466 @t470)))) (not (forall @t468 (or @t467 (tptp.old @t466 @t470)))) (not (forall @t468 (or @t467 (tptp.barrel @t466 @t465 @t470)))) (not (forall @t468 (or @t467 (tptp.street @t466 @t469)))) (not (forall @t468 (or @t467 (tptp.way @t466 @t469)))) (not (forall @t468 (or @t467 (tptp.lonely @t466 @t469)))) (not (forall @t468 (or @t467 (tptp.down @t466 @t465 @t469)))) (not (forall @t468 (or @t467 (tptp.in @t466 @t465 @t464)))))) @t471 (@list @t12 @t213 @t219 @t212 @t216))) % 126.50/128.98 (step @p36 :rule alpha_equiv :args (@t462 (@list @t12 @t282 @t5 @t281 @t285) @t471)) % 126.50/128.98 (step @p37 :rule trans :premises (@p36 @p35 @p34)) % 126.50/128.98 (step @p38 :rule equiv_elim2 :premises (@p37)) % 126.50/128.98 (step @p39 :rule alpha_equiv :args ((forall (@list @t479 @t477 @t472 @t478 @t473) (or (not (forall @t476 (or @t475 (tptp.seat @t474 @t472)))) (not (forall @t476 (or @t475 (tptp.furniture @t474 @t472)))) (not (forall @t476 (or @t475 (tptp.front @t474 @t472)))) (not (forall @t476 (or @t475 (not (forall (@list @t480) (or (not (|tptp.'$accessible_world'| @t474 @t480)) (tptp.qmltpeq @t480 @t479 @t477))))))) (not (forall @t476 (or @t475 (tptp.fellow @t474 @t479)))) (not (forall @t476 (or @t475 (tptp.man @t474 @t479)))) (not (forall @t476 (or @t475 (tptp.young @t474 @t479)))) (not (forall @t476 (or @t475 (tptp.fellow @t474 @t477)))) (not (forall @t476 (or @t475 (tptp.man @t474 @t477)))) (not (forall @t476 (or @t475 (tptp.young @t474 @t477)))) (not (forall @t476 (or @t475 (tptp.qmltpeq @t474 @t479 @t478)))) (not (forall @t476 (or @t475 (tptp.in @t474 @t478 @t472)))) (not (forall @t476 (or @t475 (tptp.qmltpeq @t474 @t477 @t473)))) (not (forall @t476 (or @t475 (tptp.in @t474 @t473 @t472)))))) @t481 (@list @t12 @t11 @t186 @t180 @t183 @t177 @t176))) % 126.50/128.98 (step @p40 :rule alpha_equiv :args (@t461 (@list @t12 @t11 @t10 @t17 @t253 @t248 @t247) @t481)) % 126.50/128.98 (step @p41 :rule trans :premises (@p40 @p39)) % 126.50/128.98 (step @p42 :rule equiv_elim2 :premises (@p41)) % 126.50/128.98 (step @p43 :rule bool-double-not-elim :args (@t455)) % 126.50/128.98 (step @p44 :rule bool-double-not-elim :args (@t458)) % 126.50/128.98 (step @p45 :rule refl :args (@t460)) % 126.50/128.98 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args ((or @t460 (not @t459) (not @t456)))) % 126.50/128.98 (step @p47 :rule cnf_and_neg :args (@t460)) % 126.50/128.98 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 126.50/128.98 (step @p49 :rule reordering :premises (@p48) :args ((or @t458 @t455 @t460))) % 126.50/128.98 (step @p50 :rule chain_m_resolution :premises (@p49 @p42 @p38 @p33 @p32 @p31) :args (@t463 (@list true true true true true) (@list @t455 @t458 @t460 @t461 @t462))) % 126.50/128.98 (step @p51 :rule refl :args (@t482)) % 126.50/128.98 (step @p52 :rule bool-double-not-elim :args (@t452)) % 126.50/128.98 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t483) @t482))) % 126.50/128.98 (assume-push @p881 @t483) % 126.50/128.98 (step @p55 :rule skolemize :premises (@p881)) % 126.50/128.98 (step-pop @p882 :rule scope :premises (@p55)) % 126.50/128.98 (step @p56 :rule process_scope :premises (@p882) :args (@t482)) % 126.50/128.98 (step @p58 :rule implies_elim :premises (@p56)) % 126.50/128.98 (step @p59 :rule eq_resolve :premises (@p58 @p53)) % 126.50/128.98 (step @p60 :rule chain_m_resolution :premises (@p59 @p50) :args (@t452 @t484 (@list @t463))) % 126.50/128.98 (step @p61 :rule quant-merge-prenex :args ((= @t615 @t614))) % 126.50/128.98 (step @p62 :rule quant-merge-prenex :args ((= @t616 @t452))) % 126.50/128.98 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((and @t616 @t615))) % 126.50/128.98 (step @p64 :rule alpha_equiv :args (@t620 @t621 (@list @t612))) % 126.50/128.98 (step @p65 :rule alpha_equiv :args (@t624 @t621 (@list @t450))) % 126.50/128.98 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t625)) % 126.50/128.98 (step @p67 :rule quant-miniscope-and :args ((= (forall @t2 (and @t623 @t619)) @t625))) % 126.50/128.98 (step @p68 :rule trans :premises (@p67 @p66)) % 126.50/128.98 (step @p69 :rule trans :premises (@p68 @p63)) % 126.50/128.98 (step @p70 :rule aci_norm :args ((= (or @t617 @t626) @t618))) % 126.50/128.98 (step @p71 :rule aci_norm :args ((= (or @t627 @t548) @t626))) % 126.50/128.98 (step @p72 :rule bool-or-de-morgan :args (@t547 @t516 false)) % 126.50/128.98 (step @p73 :rule refl :args (@t627)) % 126.50/128.98 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t627 @t629))) % 126.50/128.98 (step @p75 :rule trans :premises (@p74 @p71)) % 126.50/128.98 (step @p76 :rule refl :args (@t629)) % 126.50/128.98 (step @p77 :rule bool-double-not-elim :args (@t627)) % 126.50/128.98 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t630) @t629))) % 126.50/128.98 (step @p79 :rule bool-impl-elim :args (@t630 @t629)) % 126.50/128.98 (step @p80 :rule trans :premises (@p79 @p78)) % 126.50/128.98 (step @p81 :rule trans :premises (@p80 @p75)) % 126.50/128.98 (step @p82 :rule refl :args (@t617)) % 126.50/128.98 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t617 @t631))) % 126.50/128.98 (step @p84 :rule trans :premises (@p83 @p70)) % 126.50/128.98 (step @p85 :rule bool-impl-elim :args (@t7 @t631)) % 126.50/128.98 (step @p86 :rule trans :premises (@p85 @p84)) % 126.50/128.98 (step @p87 :rule cong :premises (@p86) :args ((forall @t174 (=> @t7 @t631)))) % 126.50/128.98 (step @p88 :rule quant-miniscope-or :args ((= (forall @t99 @t632) @t628))) % 126.50/128.98 (step @p89 :rule aci_norm :args ((= @t633 @t632))) % 126.50/128.98 (step @p90 :rule cong :premises (@p89) :args ((forall @t99 @t633))) % 126.50/128.98 (step @p91 :rule trans :premises (@p90 @p88)) % 126.50/128.98 (step @p92 :rule aci_norm :args ((= (or @t544 (or @t542 (or @t540 (or @t526 (or @t524 (or @t522 (or @t538 (or @t536 (or @t534 (or @t532 (or @t530 (or @t528 (or @t520 (or @t518 (or @t513 (or @t511 (or @t509 (or @t507 (or @t504 (or @t502 (or @t500 (or @t498 (or @t496 (or @t494 (or @t492 (or @t490 (or @t488 @t486))))))))))))))))))))))))))) @t633))) % 126.50/128.98 (step @p93 :rule bool-and-de-morgan :args (@t487 @t485 true)) % 126.50/128.98 (step @p94 :rule refl :args (@t490)) % 126.50/128.98 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t490 (not (and @t487 @t485))))) % 126.50/128.98 (step @p96 :rule bool-and-de-morgan :args (@t489 @t487 (and @t485))) % 126.50/128.98 (step @p97 :rule trans :premises (@p96 @p95)) % 126.50/128.98 (step @p98 :rule refl :args (@t492)) % 126.50/128.98 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t492 (not (and @t489 @t487 @t485))))) % 126.50/128.98 (step @p100 :rule bool-and-de-morgan :args (@t491 @t489 (and @t487 @t485))) % 126.50/128.98 (step @p101 :rule trans :premises (@p100 @p99)) % 126.50/128.98 (step @p102 :rule refl :args (@t494)) % 126.50/128.98 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t494 (not (and @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p104 :rule bool-and-de-morgan :args (@t493 @t491 (and @t489 @t487 @t485))) % 126.50/128.98 (step @p105 :rule trans :premises (@p104 @p103)) % 126.50/128.98 (step @p106 :rule refl :args (@t496)) % 126.50/128.98 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t496 (not (and @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p108 :rule bool-and-de-morgan :args (@t495 @t493 (and @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p109 :rule trans :premises (@p108 @p107)) % 126.50/128.98 (step @p110 :rule refl :args (@t498)) % 126.50/128.98 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t498 (not (and @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p112 :rule bool-and-de-morgan :args (@t497 @t495 (and @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p113 :rule trans :premises (@p112 @p111)) % 126.50/128.98 (step @p114 :rule refl :args (@t500)) % 126.50/128.98 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t500 (not (and @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p116 :rule bool-and-de-morgan :args (@t499 @t497 (and @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p117 :rule trans :premises (@p116 @p115)) % 126.50/128.98 (step @p118 :rule refl :args (@t502)) % 126.50/128.98 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t502 (not (and @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p120 :rule bool-and-de-morgan :args (@t501 @t499 (and @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p121 :rule trans :premises (@p120 @p119)) % 126.50/128.98 (step @p122 :rule refl :args (@t504)) % 126.50/128.98 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t504 (not (and @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p124 :rule bool-and-de-morgan :args (@t503 @t501 (and @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p125 :rule trans :premises (@p124 @p123)) % 126.50/128.98 (step @p126 :rule refl :args (@t507)) % 126.50/128.98 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t507 (not (and @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p128 :rule bool-and-de-morgan :args (@t506 @t503 (and @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p129 :rule trans :premises (@p128 @p127)) % 126.50/128.98 (step @p130 :rule refl :args (@t509)) % 126.50/128.98 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t509 (not (and @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p132 :rule bool-and-de-morgan :args (@t508 @t506 (and @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p133 :rule trans :premises (@p132 @p131)) % 126.50/128.98 (step @p134 :rule refl :args (@t511)) % 126.50/128.98 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t511 (not (and @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p136 :rule bool-and-de-morgan :args (@t510 @t508 (and @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p137 :rule trans :premises (@p136 @p135)) % 126.50/128.98 (step @p138 :rule refl :args (@t513)) % 126.50/128.98 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t513 (not (and @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p140 :rule bool-and-de-morgan :args (@t512 @t510 (and @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p141 :rule trans :premises (@p140 @p139)) % 126.50/128.98 (step @p142 :rule refl :args (@t518)) % 126.50/128.98 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t518 (not (and @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p144 :rule bool-and-de-morgan :args (@t517 @t512 (and @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p145 :rule trans :premises (@p144 @p143)) % 126.50/128.98 (step @p146 :rule refl :args (@t520)) % 126.50/128.98 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t520 (not (and @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p148 :rule bool-and-de-morgan :args (@t519 @t517 (and @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p149 :rule trans :premises (@p148 @p147)) % 126.50/128.98 (step @p150 :rule refl :args (@t528)) % 126.50/128.98 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t528 (not (and @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p152 :rule bool-and-de-morgan :args (@t527 @t519 (and @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p153 :rule trans :premises (@p152 @p151)) % 126.50/128.98 (step @p154 :rule refl :args (@t530)) % 126.50/128.98 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t530 (not (and @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p156 :rule bool-and-de-morgan :args (@t529 @t527 (and @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p157 :rule trans :premises (@p156 @p155)) % 126.50/128.98 (step @p158 :rule refl :args (@t532)) % 126.50/128.98 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t532 (not (and @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p160 :rule bool-and-de-morgan :args (@t531 @t529 (and @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p161 :rule trans :premises (@p160 @p159)) % 126.50/128.98 (step @p162 :rule refl :args (@t534)) % 126.50/128.98 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t534 (not (and @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p164 :rule bool-and-de-morgan :args (@t533 @t531 (and @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p165 :rule trans :premises (@p164 @p163)) % 126.50/128.98 (step @p166 :rule refl :args (@t536)) % 126.50/128.98 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t536 (not (and @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p168 :rule bool-and-de-morgan :args (@t535 @t533 (and @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p169 :rule trans :premises (@p168 @p167)) % 126.50/128.98 (step @p170 :rule refl :args (@t538)) % 126.50/128.98 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or @t538 (not (and @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p172 :rule bool-and-de-morgan :args (@t537 @t535 (and @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p173 :rule trans :premises (@p172 @p171)) % 126.50/128.98 (step @p174 :rule refl :args (@t522)) % 126.50/128.98 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t522 (not (and @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p176 :rule bool-and-de-morgan :args (@t521 @t537 (and @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p177 :rule trans :premises (@p176 @p175)) % 126.50/128.98 (step @p178 :rule refl :args (@t524)) % 126.50/128.98 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t524 (not (and @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p180 :rule bool-and-de-morgan :args (@t523 @t521 (and @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p181 :rule trans :premises (@p180 @p179)) % 126.50/128.98 (step @p182 :rule refl :args (@t526)) % 126.50/128.98 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t526 (not (and @t523 @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p184 :rule bool-and-de-morgan :args (@t525 @t523 (and @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p185 :rule trans :premises (@p184 @p183)) % 126.50/128.98 (step @p186 :rule refl :args (@t540)) % 126.50/128.98 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or @t540 (not (and @t525 @t523 @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p188 :rule bool-and-de-morgan :args (@t539 @t525 (and @t523 @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p189 :rule trans :premises (@p188 @p187)) % 126.50/128.98 (step @p190 :rule refl :args (@t542)) % 126.50/128.98 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or @t542 (not (and @t539 @t525 @t523 @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p192 :rule bool-and-de-morgan :args (@t541 @t539 (and @t525 @t523 @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p193 :rule trans :premises (@p192 @p191)) % 126.50/128.98 (step @p194 :rule refl :args (@t544)) % 126.50/128.98 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t544 (not (and @t541 @t539 @t525 @t523 @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))))) % 126.50/128.98 (step @p196 :rule bool-and-de-morgan :args (@t543 @t541 (and @t539 @t525 @t523 @t521 @t537 @t535 @t533 @t531 @t529 @t527 @t519 @t517 @t512 @t510 @t508 @t506 @t503 @t501 @t499 @t497 @t495 @t493 @t491 @t489 @t487 @t485))) % 126.50/128.98 (step @p197 :rule trans :premises (@p196 @p195)) % 126.50/128.98 (step @p198 :rule trans :premises (@p197 @p92)) % 126.50/128.98 (step @p199 :rule cong :premises (@p198) :args (@t635)) % 126.50/128.98 (step @p200 :rule trans :premises (@p199 @p91)) % 126.50/128.98 (step @p201 :rule cong :premises (@p200) :args (@t636)) % 126.50/128.98 (step @p202 :rule exists-elim :args ((= (exists @t99 @t634) @t636))) % 126.50/128.98 (step @p203 :rule trans :premises (@p202 @p201)) % 126.50/128.98 (step @p204 :rule bool-impl-elim :args (@t15 @t31)) % 126.50/128.98 (step @p205 :rule cong :premises (@p204) :args (@t33)) % 126.50/128.98 (step @p206 :rule bool-impl-elim :args (@t15 @t35)) % 126.50/128.98 (step @p207 :rule cong :premises (@p206) :args (@t36)) % 126.50/128.98 (step @p208 :rule bool-impl-elim :args (@t15 @t38)) % 126.50/128.98 (step @p209 :rule cong :premises (@p208) :args (@t39)) % 126.50/128.98 (step @p210 :rule bool-impl-elim :args (@t15 @t41)) % 126.50/128.98 (step @p211 :rule cong :premises (@p210) :args (@t42)) % 126.50/128.98 (step @p212 :rule bool-impl-elim :args (@t15 @t43)) % 126.50/128.98 (step @p213 :rule cong :premises (@p212) :args (@t44)) % 126.50/128.98 (step @p214 :rule bool-impl-elim :args (@t15 @t45)) % 126.50/128.98 (step @p215 :rule cong :premises (@p214) :args (@t46)) % 126.50/128.98 (step @p216 :rule bool-impl-elim :args (@t15 @t47)) % 126.50/128.98 (step @p217 :rule cong :premises (@p216) :args (@t48)) % 126.50/128.98 (step @p218 :rule bool-impl-elim :args (@t15 @t49)) % 126.50/128.98 (step @p219 :rule cong :premises (@p218) :args (@t50)) % 126.50/128.98 (step @p220 :rule bool-impl-elim :args (@t15 @t51)) % 126.50/128.98 (step @p221 :rule cong :premises (@p220) :args (@t52)) % 126.50/128.98 (step @p222 :rule bool-impl-elim :args (@t15 @t53)) % 126.50/128.98 (step @p223 :rule cong :premises (@p222) :args (@t54)) % 126.50/128.98 (step @p224 :rule bool-impl-elim :args (@t15 @t505)) % 126.50/128.98 (step @p225 :rule cong :premises (@p224) :args ((forall @t32 (=> @t15 @t505)))) % 126.50/128.98 (step @p226 :rule bool-impl-elim :args (@t13 @t55)) % 126.50/128.98 (step @p227 :rule cong :premises (@p226) :args (@t56)) % 126.50/128.98 (step @p228 :rule cong :premises (@p227) :args (@t57)) % 126.50/128.98 (step @p229 :rule refl :args (@t15)) % 126.50/128.98 (step @p230 :rule cong :premises (@p229 @p228) :args (@t58)) % 126.50/128.98 (step @p231 :rule cong :premises (@p230) :args (@t59)) % 126.50/128.98 (step @p232 :rule trans :premises (@p231 @p225)) % 126.50/128.98 (step @p233 :rule bool-impl-elim :args (@t15 @t60)) % 126.50/128.98 (step @p234 :rule cong :premises (@p233) :args (@t61)) % 126.50/128.98 (step @p235 :rule bool-impl-elim :args (@t15 @t62)) % 126.50/128.98 (step @p236 :rule cong :premises (@p235) :args (@t63)) % 126.50/128.98 (step @p237 :rule bool-impl-elim :args (@t15 @t64)) % 126.50/128.98 (step @p238 :rule cong :premises (@p237) :args (@t65)) % 126.50/128.98 (step @p239 :rule bool-impl-elim :args (@t15 @t68)) % 126.50/128.98 (step @p240 :rule cong :premises (@p239) :args (@t69)) % 126.50/128.98 (step @p241 :rule bool-impl-elim :args (@t15 @t71)) % 126.50/128.98 (step @p242 :rule cong :premises (@p241) :args (@t72)) % 126.50/128.98 (step @p243 :rule bool-impl-elim :args (@t15 @t74)) % 126.50/128.98 (step @p244 :rule cong :premises (@p243) :args (@t75)) % 126.50/128.98 (step @p245 :rule bool-impl-elim :args (@t15 @t76)) % 126.50/128.98 (step @p246 :rule cong :premises (@p245) :args (@t77)) % 126.50/128.98 (step @p247 :rule bool-impl-elim :args (@t15 @t78)) % 126.50/128.98 (step @p248 :rule cong :premises (@p247) :args (@t79)) % 126.50/128.98 (step @p249 :rule bool-impl-elim :args (@t15 @t80)) % 126.50/128.98 (step @p250 :rule cong :premises (@p249) :args (@t81)) % 126.50/128.98 (step @p251 :rule bool-impl-elim :args (@t15 @t82)) % 126.50/128.98 (step @p252 :rule cong :premises (@p251) :args (@t83)) % 126.50/128.98 (step @p253 :rule bool-impl-elim :args (@t15 @t84)) % 126.50/128.98 (step @p254 :rule cong :premises (@p253) :args (@t85)) % 126.50/128.98 (step @p255 :rule bool-impl-elim :args (@t15 @t86)) % 126.50/128.98 (step @p256 :rule cong :premises (@p255) :args (@t87)) % 126.50/128.98 (step @p257 :rule bool-impl-elim :args (@t15 @t88)) % 126.50/128.98 (step @p258 :rule cong :premises (@p257) :args (@t89)) % 126.50/128.98 (step @p259 :rule bool-impl-elim :args (@t15 @t90)) % 126.50/128.98 (step @p260 :rule cong :premises (@p259) :args (@t91)) % 126.50/128.98 (step @p261 :rule bool-impl-elim :args (@t15 @t92)) % 126.50/128.98 (step @p262 :rule cong :premises (@p261) :args (@t93)) % 126.50/128.98 (step @p263 :rule bool-impl-elim :args (@t15 @t94)) % 126.50/128.98 (step @p264 :rule cong :premises (@p263) :args (@t95)) % 126.50/128.98 (step @p265 :rule bool-impl-elim :args (@t15 @t96)) % 126.50/128.98 (step @p266 :rule cong :premises (@p265) :args (@t97)) % 126.50/128.98 (step @p267 :rule nary_cong :premises (@p266 @p264 @p262 @p260 @p258 @p256 @p254 @p252 @p250 @p248 @p246 @p244 @p242 @p240 @p238 @p236 @p234 @p232 @p223 @p221 @p219 @p217 @p215 @p213 @p211 @p209 @p207 @p205) :args (@t98)) % 126.50/128.98 (step @p268 :rule cong :premises (@p267) :args (@t100)) % 126.50/128.98 (step @p269 :rule trans :premises (@p268 @p203)) % 126.50/128.98 (step @p270 :rule quant-miniscope-or :args ((= (forall @t170 @t637) @t627))) % 126.50/128.98 (step @p271 :rule aci_norm :args ((= @t638 @t637))) % 126.50/128.98 (step @p272 :rule cong :premises (@p271) :args ((forall @t170 @t638))) % 126.50/128.98 (step @p273 :rule trans :premises (@p272 @p270)) % 126.50/128.98 (step @p274 :rule aci_norm :args ((= (or @t608 (or @t606 (or @t604 (or @t602 (or @t600 (or @t598 (or @t596 (or @t594 (or @t590 (or @t588 (or @t586 (or @t592 (or @t584 (or @t582 (or @t577 (or @t575 (or @t573 (or @t571 (or @t568 (or @t566 (or @t564 (or @t562 (or @t560 (or @t558 (or @t556 (or @t554 (or @t552 @t550))))))))))))))))))))))))))) @t638))) % 126.50/128.98 (step @p275 :rule bool-and-de-morgan :args (@t551 @t549 true)) % 126.50/128.98 (step @p276 :rule refl :args (@t554)) % 126.50/128.98 (step @p277 :rule nary_cong :premises (@p276 @p275) :args ((or @t554 (not (and @t551 @t549))))) % 126.50/128.98 (step @p278 :rule bool-and-de-morgan :args (@t553 @t551 (and @t549))) % 126.50/128.98 (step @p279 :rule trans :premises (@p278 @p277)) % 126.50/128.98 (step @p280 :rule refl :args (@t556)) % 126.50/128.98 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t556 (not (and @t553 @t551 @t549))))) % 126.50/128.98 (step @p282 :rule bool-and-de-morgan :args (@t555 @t553 (and @t551 @t549))) % 126.50/128.98 (step @p283 :rule trans :premises (@p282 @p281)) % 126.50/128.98 (step @p284 :rule refl :args (@t558)) % 126.50/128.98 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t558 (not (and @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p286 :rule bool-and-de-morgan :args (@t557 @t555 (and @t553 @t551 @t549))) % 126.50/128.98 (step @p287 :rule trans :premises (@p286 @p285)) % 126.50/128.98 (step @p288 :rule refl :args (@t560)) % 126.50/128.98 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or @t560 (not (and @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p290 :rule bool-and-de-morgan :args (@t559 @t557 (and @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p291 :rule trans :premises (@p290 @p289)) % 126.50/128.98 (step @p292 :rule refl :args (@t562)) % 126.50/128.98 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or @t562 (not (and @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p294 :rule bool-and-de-morgan :args (@t561 @t559 (and @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p295 :rule trans :premises (@p294 @p293)) % 126.50/128.98 (step @p296 :rule refl :args (@t564)) % 126.50/128.98 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t564 (not (and @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p298 :rule bool-and-de-morgan :args (@t563 @t561 (and @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p299 :rule trans :premises (@p298 @p297)) % 126.50/128.98 (step @p300 :rule refl :args (@t566)) % 126.50/128.98 (step @p301 :rule nary_cong :premises (@p300 @p299) :args ((or @t566 (not (and @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p302 :rule bool-and-de-morgan :args (@t565 @t563 (and @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p303 :rule trans :premises (@p302 @p301)) % 126.50/128.98 (step @p304 :rule refl :args (@t568)) % 126.50/128.98 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or @t568 (not (and @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p306 :rule bool-and-de-morgan :args (@t567 @t565 (and @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p307 :rule trans :premises (@p306 @p305)) % 126.50/128.98 (step @p308 :rule refl :args (@t571)) % 126.50/128.98 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t571 (not (and @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p310 :rule bool-and-de-morgan :args (@t570 @t567 (and @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p311 :rule trans :premises (@p310 @p309)) % 126.50/128.98 (step @p312 :rule refl :args (@t573)) % 126.50/128.98 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t573 (not (and @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p314 :rule bool-and-de-morgan :args (@t572 @t570 (and @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p315 :rule trans :premises (@p314 @p313)) % 126.50/128.98 (step @p316 :rule refl :args (@t575)) % 126.50/128.98 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or @t575 (not (and @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p318 :rule bool-and-de-morgan :args (@t574 @t572 (and @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p319 :rule trans :premises (@p318 @p317)) % 126.50/128.98 (step @p320 :rule refl :args (@t577)) % 126.50/128.98 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or @t577 (not (and @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p322 :rule bool-and-de-morgan :args (@t576 @t574 (and @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p323 :rule trans :premises (@p322 @p321)) % 126.50/128.98 (step @p324 :rule refl :args (@t582)) % 126.50/128.98 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t582 (not (and @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p326 :rule bool-and-de-morgan :args (@t581 @t576 (and @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p327 :rule trans :premises (@p326 @p325)) % 126.50/128.98 (step @p328 :rule refl :args (@t584)) % 126.50/128.98 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t584 (not (and @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p330 :rule bool-and-de-morgan :args (@t583 @t581 (and @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p331 :rule trans :premises (@p330 @p329)) % 126.50/128.98 (step @p332 :rule refl :args (@t592)) % 126.50/128.98 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or @t592 (not (and @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p334 :rule bool-and-de-morgan :args (@t591 @t583 (and @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p335 :rule trans :premises (@p334 @p333)) % 126.50/128.98 (step @p336 :rule refl :args (@t586)) % 126.50/128.98 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or @t586 (not (and @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p338 :rule bool-and-de-morgan :args (@t585 @t591 (and @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p339 :rule trans :premises (@p338 @p337)) % 126.50/128.98 (step @p340 :rule refl :args (@t588)) % 126.50/128.98 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t588 (not (and @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p342 :rule bool-and-de-morgan :args (@t587 @t585 (and @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p343 :rule trans :premises (@p342 @p341)) % 126.50/128.98 (step @p344 :rule refl :args (@t590)) % 126.50/128.98 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or @t590 (not (and @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p346 :rule bool-and-de-morgan :args (@t589 @t587 (and @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p347 :rule trans :premises (@p346 @p345)) % 126.50/128.98 (step @p348 :rule refl :args (@t594)) % 126.50/128.98 (step @p349 :rule nary_cong :premises (@p348 @p347) :args ((or @t594 (not (and @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p350 :rule bool-and-de-morgan :args (@t593 @t589 (and @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p351 :rule trans :premises (@p350 @p349)) % 126.50/128.98 (step @p352 :rule refl :args (@t596)) % 126.50/128.98 (step @p353 :rule nary_cong :premises (@p352 @p351) :args ((or @t596 (not (and @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p354 :rule bool-and-de-morgan :args (@t595 @t593 (and @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p355 :rule trans :premises (@p354 @p353)) % 126.50/128.98 (step @p356 :rule refl :args (@t598)) % 126.50/128.98 (step @p357 :rule nary_cong :premises (@p356 @p355) :args ((or @t598 (not (and @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p358 :rule bool-and-de-morgan :args (@t597 @t595 (and @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p359 :rule trans :premises (@p358 @p357)) % 126.50/128.98 (step @p360 :rule refl :args (@t600)) % 126.50/128.98 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or @t600 (not (and @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p362 :rule bool-and-de-morgan :args (@t599 @t597 (and @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p363 :rule trans :premises (@p362 @p361)) % 126.50/128.98 (step @p364 :rule refl :args (@t602)) % 126.50/128.98 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or @t602 (not (and @t599 @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p366 :rule bool-and-de-morgan :args (@t601 @t599 (and @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p367 :rule trans :premises (@p366 @p365)) % 126.50/128.98 (step @p368 :rule refl :args (@t604)) % 126.50/128.98 (step @p369 :rule nary_cong :premises (@p368 @p367) :args ((or @t604 (not (and @t601 @t599 @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p370 :rule bool-and-de-morgan :args (@t603 @t601 (and @t599 @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p371 :rule trans :premises (@p370 @p369)) % 126.50/128.98 (step @p372 :rule refl :args (@t606)) % 126.50/128.98 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or @t606 (not (and @t603 @t601 @t599 @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p374 :rule bool-and-de-morgan :args (@t605 @t603 (and @t601 @t599 @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p375 :rule trans :premises (@p374 @p373)) % 126.50/128.98 (step @p376 :rule refl :args (@t608)) % 126.50/128.98 (step @p377 :rule nary_cong :premises (@p376 @p375) :args ((or @t608 (not (and @t605 @t603 @t601 @t599 @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))))) % 126.50/128.98 (step @p378 :rule bool-and-de-morgan :args (@t607 @t605 (and @t603 @t601 @t599 @t597 @t595 @t593 @t589 @t587 @t585 @t591 @t583 @t581 @t576 @t574 @t572 @t570 @t567 @t565 @t563 @t561 @t559 @t557 @t555 @t553 @t551 @t549))) % 126.50/128.98 (step @p379 :rule trans :premises (@p378 @p377)) % 126.50/128.98 (step @p380 :rule trans :premises (@p379 @p274)) % 126.50/128.98 (step @p381 :rule cong :premises (@p380) :args (@t640)) % 126.50/128.98 (step @p382 :rule trans :premises (@p381 @p273)) % 126.50/128.98 (step @p383 :rule cong :premises (@p382) :args (@t641)) % 126.50/128.98 (step @p384 :rule exists-elim :args ((= (exists @t170 @t639) @t641))) % 126.50/128.98 (step @p385 :rule trans :premises (@p384 @p383)) % 126.50/128.98 (step @p386 :rule bool-impl-elim :args (@t15 @t103)) % 126.50/128.98 (step @p387 :rule cong :premises (@p386) :args (@t104)) % 126.50/128.98 (step @p388 :rule bool-impl-elim :args (@t15 @t106)) % 126.50/128.98 (step @p389 :rule cong :premises (@p388) :args (@t107)) % 126.50/128.98 (step @p390 :rule bool-impl-elim :args (@t15 @t109)) % 126.50/128.98 (step @p391 :rule cong :premises (@p390) :args (@t110)) % 126.50/128.98 (step @p392 :rule bool-impl-elim :args (@t15 @t112)) % 126.50/128.98 (step @p393 :rule cong :premises (@p392) :args (@t113)) % 126.50/128.98 (step @p394 :rule bool-impl-elim :args (@t15 @t114)) % 126.50/128.98 (step @p395 :rule cong :premises (@p394) :args (@t115)) % 126.50/128.98 (step @p396 :rule bool-impl-elim :args (@t15 @t116)) % 126.50/128.98 (step @p397 :rule cong :premises (@p396) :args (@t117)) % 126.50/128.98 (step @p398 :rule bool-impl-elim :args (@t15 @t118)) % 126.50/128.98 (step @p399 :rule cong :premises (@p398) :args (@t119)) % 126.50/128.98 (step @p400 :rule bool-impl-elim :args (@t15 @t120)) % 126.50/128.98 (step @p401 :rule cong :premises (@p400) :args (@t121)) % 126.50/128.98 (step @p402 :rule bool-impl-elim :args (@t15 @t122)) % 126.50/128.98 (step @p403 :rule cong :premises (@p402) :args (@t123)) % 126.50/128.98 (step @p404 :rule bool-impl-elim :args (@t15 @t124)) % 126.50/128.98 (step @p405 :rule cong :premises (@p404) :args (@t125)) % 126.50/128.98 (step @p406 :rule bool-impl-elim :args (@t15 @t569)) % 126.50/128.98 (step @p407 :rule cong :premises (@p406) :args ((forall @t32 (=> @t15 @t569)))) % 126.50/128.98 (step @p408 :rule bool-impl-elim :args (@t13 @t126)) % 126.50/128.98 (step @p409 :rule cong :premises (@p408) :args (@t127)) % 126.50/128.98 (step @p410 :rule cong :premises (@p409) :args (@t128)) % 126.50/128.98 (step @p411 :rule cong :premises (@p229 @p410) :args (@t129)) % 126.50/128.98 (step @p412 :rule cong :premises (@p411) :args (@t130)) % 126.50/128.98 (step @p413 :rule trans :premises (@p412 @p407)) % 126.50/128.98 (step @p414 :rule bool-impl-elim :args (@t15 @t131)) % 126.50/128.98 (step @p415 :rule cong :premises (@p414) :args (@t132)) % 126.50/128.98 (step @p416 :rule bool-impl-elim :args (@t15 @t133)) % 126.50/128.98 (step @p417 :rule cong :premises (@p416) :args (@t134)) % 126.50/128.98 (step @p418 :rule bool-impl-elim :args (@t15 @t135)) % 126.50/128.98 (step @p419 :rule cong :premises (@p418) :args (@t136)) % 126.50/128.98 (step @p420 :rule bool-impl-elim :args (@t15 @t139)) % 126.50/128.98 (step @p421 :rule cong :premises (@p420) :args (@t140)) % 126.50/128.98 (step @p422 :rule bool-impl-elim :args (@t15 @t142)) % 126.50/128.98 (step @p423 :rule cong :premises (@p422) :args (@t143)) % 126.50/128.98 (step @p424 :rule bool-impl-elim :args (@t15 @t145)) % 126.50/128.98 (step @p425 :rule cong :premises (@p424) :args (@t146)) % 126.50/128.98 (step @p426 :rule bool-impl-elim :args (@t15 @t147)) % 126.50/128.98 (step @p427 :rule cong :premises (@p426) :args (@t148)) % 126.50/128.98 (step @p428 :rule bool-impl-elim :args (@t15 @t149)) % 126.50/128.98 (step @p429 :rule cong :premises (@p428) :args (@t150)) % 126.50/128.98 (step @p430 :rule bool-impl-elim :args (@t15 @t151)) % 126.50/128.98 (step @p431 :rule cong :premises (@p430) :args (@t152)) % 126.50/128.98 (step @p432 :rule bool-impl-elim :args (@t15 @t153)) % 126.50/128.98 (step @p433 :rule cong :premises (@p432) :args (@t154)) % 126.50/128.98 (step @p434 :rule bool-impl-elim :args (@t15 @t155)) % 126.50/128.98 (step @p435 :rule cong :premises (@p434) :args (@t156)) % 126.50/128.98 (step @p436 :rule bool-impl-elim :args (@t15 @t157)) % 126.50/128.98 (step @p437 :rule cong :premises (@p436) :args (@t158)) % 126.50/128.98 (step @p438 :rule bool-impl-elim :args (@t15 @t159)) % 126.50/128.98 (step @p439 :rule cong :premises (@p438) :args (@t160)) % 126.50/128.98 (step @p440 :rule bool-impl-elim :args (@t15 @t161)) % 126.50/128.98 (step @p441 :rule cong :premises (@p440) :args (@t162)) % 126.50/128.98 (step @p442 :rule bool-impl-elim :args (@t15 @t163)) % 126.50/128.98 (step @p443 :rule cong :premises (@p442) :args (@t164)) % 126.50/128.98 (step @p444 :rule bool-impl-elim :args (@t15 @t165)) % 126.50/128.98 (step @p445 :rule cong :premises (@p444) :args (@t166)) % 126.50/128.98 (step @p446 :rule bool-impl-elim :args (@t15 @t167)) % 126.50/128.98 (step @p447 :rule cong :premises (@p446) :args (@t168)) % 126.50/128.98 (step @p448 :rule nary_cong :premises (@p447 @p445 @p443 @p441 @p439 @p437 @p435 @p433 @p431 @p429 @p427 @p425 @p423 @p421 @p419 @p417 @p415 @p413 @p405 @p403 @p401 @p399 @p397 @p395 @p393 @p391 @p389 @p387) :args (@t169)) % 126.50/128.98 (step @p449 :rule cong :premises (@p448) :args (@t171)) % 126.50/128.98 (step @p450 :rule trans :premises (@p449 @p385)) % 126.50/128.98 (step @p451 :rule cong :premises (@p450 @p269) :args (@t172)) % 126.50/128.98 (step @p452 :rule refl :args (@t7)) % 126.50/128.98 (step @p453 :rule cong :premises (@p452 @p451) :args (@t173)) % 126.50/128.98 (step @p454 :rule cong :premises (@p453) :args (@t175)) % 126.50/128.98 (step @p455 :rule trans :premises (@p454 @p87)) % 126.50/128.98 (step @p456 :rule aci_norm :args ((= (or @t617 @t642) @t622))) % 126.50/128.98 (step @p457 :rule aci_norm :args ((= (or @t643 @t386) @t642))) % 126.50/128.98 (step @p458 :rule bool-or-de-morgan :args (@t385 @t354 false)) % 126.50/128.98 (step @p459 :rule refl :args (@t643)) % 126.50/128.98 (step @p460 :rule nary_cong :premises (@p459 @p458) :args ((or @t643 @t645))) % 126.50/128.98 (step @p461 :rule trans :premises (@p460 @p457)) % 126.50/128.98 (step @p462 :rule refl :args (@t645)) % 126.50/128.98 (step @p463 :rule bool-double-not-elim :args (@t643)) % 126.50/128.98 (step @p464 :rule nary_cong :premises (@p463 @p462) :args ((or (not @t646) @t645))) % 126.50/128.98 (step @p465 :rule bool-impl-elim :args (@t646 @t645)) % 126.50/128.98 (step @p466 :rule trans :premises (@p465 @p464)) % 126.50/128.98 (step @p467 :rule trans :premises (@p466 @p461)) % 126.50/128.98 (step @p468 :rule nary_cong :premises (@p82 @p467) :args ((or @t617 @t647))) % 126.50/128.98 (step @p469 :rule trans :premises (@p468 @p456)) % 126.50/128.98 (step @p470 :rule bool-impl-elim :args (@t7 @t647)) % 126.50/128.98 (step @p471 :rule trans :premises (@p470 @p469)) % 126.50/128.98 (step @p472 :rule cong :premises (@p471) :args ((forall @t174 (=> @t7 @t647)))) % 126.50/128.98 (step @p473 :rule quant-miniscope-or :args ((= (forall @t245 @t648) @t644))) % 126.50/128.98 (step @p474 :rule aci_norm :args ((= @t649 @t648))) % 126.50/128.98 (step @p475 :rule cong :premises (@p474) :args ((forall @t245 @t649))) % 126.50/128.98 (step @p476 :rule trans :premises (@p475 @p473)) % 126.50/128.98 (step @p477 :rule aci_norm :args ((= (or @t382 (or @t380 (or @t378 (or @t376 (or @t374 (or @t372 (or @t370 (or @t368 (or @t364 (or @t362 (or @t360 (or @t366 (or @t358 (or @t356 (or @t351 (or @t349 (or @t347 (or @t345 (or @t341 (or @t339 (or @t337 (or @t335 (or @t333 (or @t331 (or @t329 (or @t327 (or @t325 @t323))))))))))))))))))))))))))) @t649))) % 126.50/128.98 (step @p478 :rule bool-and-de-morgan :args (@t324 @t322 true)) % 126.50/128.98 (step @p479 :rule refl :args (@t327)) % 126.50/128.98 (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or @t327 (not (and @t324 @t322))))) % 126.50/128.98 (step @p481 :rule bool-and-de-morgan :args (@t326 @t324 (and @t322))) % 126.50/128.98 (step @p482 :rule trans :premises (@p481 @p480)) % 126.50/128.98 (step @p483 :rule refl :args (@t329)) % 126.50/128.98 (step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or @t329 (not (and @t326 @t324 @t322))))) % 126.50/128.98 (step @p485 :rule bool-and-de-morgan :args (@t328 @t326 (and @t324 @t322))) % 126.50/128.98 (step @p486 :rule trans :premises (@p485 @p484)) % 126.50/128.98 (step @p487 :rule refl :args (@t331)) % 126.50/128.98 (step @p488 :rule nary_cong :premises (@p487 @p486) :args ((or @t331 (not (and @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p489 :rule bool-and-de-morgan :args (@t330 @t328 (and @t326 @t324 @t322))) % 126.50/128.98 (step @p490 :rule trans :premises (@p489 @p488)) % 126.50/128.98 (step @p491 :rule refl :args (@t333)) % 126.50/128.98 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or @t333 (not (and @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p493 :rule bool-and-de-morgan :args (@t332 @t330 (and @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p494 :rule trans :premises (@p493 @p492)) % 126.50/128.98 (step @p495 :rule refl :args (@t335)) % 126.50/128.98 (step @p496 :rule nary_cong :premises (@p495 @p494) :args ((or @t335 (not (and @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p497 :rule bool-and-de-morgan :args (@t334 @t332 (and @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p498 :rule trans :premises (@p497 @p496)) % 126.50/128.98 (step @p499 :rule refl :args (@t337)) % 126.50/128.98 (step @p500 :rule nary_cong :premises (@p499 @p498) :args ((or @t337 (not (and @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p501 :rule bool-and-de-morgan :args (@t336 @t334 (and @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p502 :rule trans :premises (@p501 @p500)) % 126.50/128.98 (step @p503 :rule refl :args (@t339)) % 126.50/128.98 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or @t339 (not (and @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p505 :rule bool-and-de-morgan :args (@t338 @t336 (and @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p506 :rule trans :premises (@p505 @p504)) % 126.50/128.98 (step @p507 :rule refl :args (@t341)) % 126.50/128.98 (step @p508 :rule nary_cong :premises (@p507 @p506) :args ((or @t341 (not (and @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p509 :rule bool-and-de-morgan :args (@t340 @t338 (and @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p510 :rule trans :premises (@p509 @p508)) % 126.50/128.98 (step @p511 :rule refl :args (@t345)) % 126.50/128.98 (step @p512 :rule nary_cong :premises (@p511 @p510) :args ((or @t345 (not (and @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p513 :rule bool-and-de-morgan :args (@t344 @t340 (and @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p514 :rule trans :premises (@p513 @p512)) % 126.50/128.98 (step @p515 :rule refl :args (@t347)) % 126.50/128.98 (step @p516 :rule nary_cong :premises (@p515 @p514) :args ((or @t347 (not (and @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p517 :rule bool-and-de-morgan :args (@t346 @t344 (and @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p518 :rule trans :premises (@p517 @p516)) % 126.50/128.98 (step @p519 :rule refl :args (@t349)) % 126.50/128.98 (step @p520 :rule nary_cong :premises (@p519 @p518) :args ((or @t349 (not (and @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p521 :rule bool-and-de-morgan :args (@t348 @t346 (and @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p522 :rule trans :premises (@p521 @p520)) % 126.50/128.98 (step @p523 :rule refl :args (@t351)) % 126.50/128.98 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or @t351 (not (and @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p525 :rule bool-and-de-morgan :args (@t350 @t348 (and @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p526 :rule trans :premises (@p525 @p524)) % 126.50/128.98 (step @p527 :rule refl :args (@t356)) % 126.50/128.98 (step @p528 :rule nary_cong :premises (@p527 @p526) :args ((or @t356 (not (and @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p529 :rule bool-and-de-morgan :args (@t355 @t350 (and @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p530 :rule trans :premises (@p529 @p528)) % 126.50/128.98 (step @p531 :rule refl :args (@t358)) % 126.50/128.98 (step @p532 :rule nary_cong :premises (@p531 @p530) :args ((or @t358 (not (and @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p533 :rule bool-and-de-morgan :args (@t357 @t355 (and @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p534 :rule trans :premises (@p533 @p532)) % 126.50/128.98 (step @p535 :rule refl :args (@t366)) % 126.50/128.98 (step @p536 :rule nary_cong :premises (@p535 @p534) :args ((or @t366 (not (and @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p537 :rule bool-and-de-morgan :args (@t365 @t357 (and @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p538 :rule trans :premises (@p537 @p536)) % 126.50/128.98 (step @p539 :rule refl :args (@t360)) % 126.50/128.98 (step @p540 :rule nary_cong :premises (@p539 @p538) :args ((or @t360 (not (and @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p541 :rule bool-and-de-morgan :args (@t359 @t365 (and @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p542 :rule trans :premises (@p541 @p540)) % 126.50/128.98 (step @p543 :rule refl :args (@t362)) % 126.50/128.98 (step @p544 :rule nary_cong :premises (@p543 @p542) :args ((or @t362 (not (and @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p545 :rule bool-and-de-morgan :args (@t361 @t359 (and @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p546 :rule trans :premises (@p545 @p544)) % 126.50/128.98 (step @p547 :rule refl :args (@t364)) % 126.50/128.98 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or @t364 (not (and @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p549 :rule bool-and-de-morgan :args (@t363 @t361 (and @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p550 :rule trans :premises (@p549 @p548)) % 126.50/128.98 (step @p551 :rule refl :args (@t368)) % 126.50/128.98 (step @p552 :rule nary_cong :premises (@p551 @p550) :args ((or @t368 (not (and @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p553 :rule bool-and-de-morgan :args (@t367 @t363 (and @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p554 :rule trans :premises (@p553 @p552)) % 126.50/128.98 (step @p555 :rule refl :args (@t370)) % 126.50/128.98 (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((or @t370 (not (and @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p557 :rule bool-and-de-morgan :args (@t369 @t367 (and @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p558 :rule trans :premises (@p557 @p556)) % 126.50/128.98 (step @p559 :rule refl :args (@t372)) % 126.50/128.98 (step @p560 :rule nary_cong :premises (@p559 @p558) :args ((or @t372 (not (and @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p561 :rule bool-and-de-morgan :args (@t371 @t369 (and @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p562 :rule trans :premises (@p561 @p560)) % 126.50/128.98 (step @p563 :rule refl :args (@t374)) % 126.50/128.98 (step @p564 :rule nary_cong :premises (@p563 @p562) :args ((or @t374 (not (and @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p565 :rule bool-and-de-morgan :args (@t373 @t371 (and @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p566 :rule trans :premises (@p565 @p564)) % 126.50/128.98 (step @p567 :rule refl :args (@t376)) % 126.50/128.98 (step @p568 :rule nary_cong :premises (@p567 @p566) :args ((or @t376 (not (and @t373 @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p569 :rule bool-and-de-morgan :args (@t375 @t373 (and @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p570 :rule trans :premises (@p569 @p568)) % 126.50/128.98 (step @p571 :rule refl :args (@t378)) % 126.50/128.98 (step @p572 :rule nary_cong :premises (@p571 @p570) :args ((or @t378 (not (and @t375 @t373 @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p573 :rule bool-and-de-morgan :args (@t377 @t375 (and @t373 @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p574 :rule trans :premises (@p573 @p572)) % 126.50/128.98 (step @p575 :rule refl :args (@t380)) % 126.50/128.98 (step @p576 :rule nary_cong :premises (@p575 @p574) :args ((or @t380 (not (and @t377 @t375 @t373 @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p577 :rule bool-and-de-morgan :args (@t379 @t377 (and @t375 @t373 @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p578 :rule trans :premises (@p577 @p576)) % 126.50/128.98 (step @p579 :rule refl :args (@t382)) % 126.50/128.98 (step @p580 :rule nary_cong :premises (@p579 @p578) :args ((or @t382 (not (and @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))))) % 126.50/128.98 (step @p581 :rule bool-and-de-morgan :args (@t381 @t379 (and @t377 @t375 @t373 @t371 @t369 @t367 @t363 @t361 @t359 @t365 @t357 @t355 @t350 @t348 @t346 @t344 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322))) % 126.50/128.98 (step @p582 :rule trans :premises (@p581 @p580)) % 126.50/128.98 (step @p583 :rule trans :premises (@p582 @p477)) % 126.50/128.98 (step @p584 :rule cong :premises (@p583) :args (@t651)) % 126.50/128.98 (step @p585 :rule trans :premises (@p584 @p476)) % 126.50/128.98 (step @p586 :rule cong :premises (@p585) :args (@t652)) % 126.50/128.98 (step @p587 :rule exists-elim :args ((= (exists @t245 @t650) @t652))) % 126.50/128.99 (step @p588 :rule trans :premises (@p587 @p586)) % 126.50/128.99 (step @p589 :rule bool-impl-elim :args (@t15 @t178)) % 126.50/128.99 (step @p590 :rule cong :premises (@p589) :args (@t179)) % 126.50/128.99 (step @p591 :rule bool-impl-elim :args (@t15 @t181)) % 126.50/128.99 (step @p592 :rule cong :premises (@p591) :args (@t182)) % 126.50/128.99 (step @p593 :rule bool-impl-elim :args (@t15 @t184)) % 126.50/128.99 (step @p594 :rule cong :premises (@p593) :args (@t185)) % 126.50/128.99 (step @p595 :rule bool-impl-elim :args (@t15 @t187)) % 126.50/128.99 (step @p596 :rule cong :premises (@p595) :args (@t188)) % 126.50/128.99 (step @p597 :rule bool-impl-elim :args (@t15 @t189)) % 126.50/128.99 (step @p598 :rule cong :premises (@p597) :args (@t190)) % 126.50/128.99 (step @p599 :rule bool-impl-elim :args (@t15 @t191)) % 126.50/128.99 (step @p600 :rule cong :premises (@p599) :args (@t192)) % 126.50/128.99 (step @p601 :rule bool-impl-elim :args (@t15 @t193)) % 126.50/128.99 (step @p602 :rule cong :premises (@p601) :args (@t194)) % 126.50/128.99 (step @p603 :rule bool-impl-elim :args (@t15 @t195)) % 126.50/128.99 (step @p604 :rule cong :premises (@p603) :args (@t196)) % 126.50/128.99 (step @p605 :rule bool-impl-elim :args (@t15 @t197)) % 126.50/128.99 (step @p606 :rule cong :premises (@p605) :args (@t198)) % 126.50/128.99 (step @p607 :rule bool-impl-elim :args (@t15 @t199)) % 126.50/128.99 (step @p608 :rule cong :premises (@p607) :args (@t200)) % 126.50/128.99 (step @p609 :rule bool-impl-elim :args (@t15 @t343)) % 126.50/128.99 (step @p610 :rule cong :premises (@p609) :args ((forall @t32 (=> @t15 @t343)))) % 126.50/128.99 (step @p611 :rule bool-impl-elim :args (@t13 @t201)) % 126.50/128.99 (step @p612 :rule cong :premises (@p611) :args (@t202)) % 126.50/128.99 (step @p613 :rule cong :premises (@p612) :args (@t203)) % 126.50/128.99 (step @p614 :rule cong :premises (@p229 @p613) :args (@t204)) % 126.50/128.99 (step @p615 :rule cong :premises (@p614) :args (@t205)) % 126.50/128.99 (step @p616 :rule trans :premises (@p615 @p610)) % 126.50/128.99 (step @p617 :rule bool-impl-elim :args (@t15 @t206)) % 126.50/128.99 (step @p618 :rule cong :premises (@p617) :args (@t207)) % 126.50/128.99 (step @p619 :rule bool-impl-elim :args (@t15 @t208)) % 126.50/128.99 (step @p620 :rule cong :premises (@p619) :args (@t209)) % 126.50/128.99 (step @p621 :rule bool-impl-elim :args (@t15 @t210)) % 126.50/128.99 (step @p622 :rule cong :premises (@p621) :args (@t211)) % 126.50/128.99 (step @p623 :rule bool-impl-elim :args (@t15 @t214)) % 126.50/128.99 (step @p624 :rule cong :premises (@p623) :args (@t215)) % 126.50/128.99 (step @p625 :rule bool-impl-elim :args (@t15 @t217)) % 126.50/128.99 (step @p626 :rule cong :premises (@p625) :args (@t218)) % 126.50/128.99 (step @p627 :rule bool-impl-elim :args (@t15 @t220)) % 126.50/128.99 (step @p628 :rule cong :premises (@p627) :args (@t221)) % 126.50/128.99 (step @p629 :rule bool-impl-elim :args (@t15 @t222)) % 126.50/128.99 (step @p630 :rule cong :premises (@p629) :args (@t223)) % 126.50/128.99 (step @p631 :rule bool-impl-elim :args (@t15 @t224)) % 126.50/128.99 (step @p632 :rule cong :premises (@p631) :args (@t225)) % 126.50/128.99 (step @p633 :rule bool-impl-elim :args (@t15 @t226)) % 126.50/128.99 (step @p634 :rule cong :premises (@p633) :args (@t227)) % 126.50/128.99 (step @p635 :rule bool-impl-elim :args (@t15 @t228)) % 126.50/128.99 (step @p636 :rule cong :premises (@p635) :args (@t229)) % 126.50/128.99 (step @p637 :rule bool-impl-elim :args (@t15 @t230)) % 126.50/128.99 (step @p638 :rule cong :premises (@p637) :args (@t231)) % 126.50/128.99 (step @p639 :rule bool-impl-elim :args (@t15 @t232)) % 126.50/128.99 (step @p640 :rule cong :premises (@p639) :args (@t233)) % 126.50/128.99 (step @p641 :rule bool-impl-elim :args (@t15 @t234)) % 126.50/128.99 (step @p642 :rule cong :premises (@p641) :args (@t235)) % 126.50/128.99 (step @p643 :rule bool-impl-elim :args (@t15 @t236)) % 126.50/128.99 (step @p644 :rule cong :premises (@p643) :args (@t237)) % 126.50/128.99 (step @p645 :rule bool-impl-elim :args (@t15 @t238)) % 126.50/128.99 (step @p646 :rule cong :premises (@p645) :args (@t239)) % 126.50/128.99 (step @p647 :rule bool-impl-elim :args (@t15 @t240)) % 126.50/128.99 (step @p648 :rule cong :premises (@p647) :args (@t241)) % 126.50/128.99 (step @p649 :rule bool-impl-elim :args (@t15 @t242)) % 126.50/128.99 (step @p650 :rule cong :premises (@p649) :args (@t243)) % 126.50/128.99 (step @p651 :rule nary_cong :premises (@p650 @p648 @p646 @p644 @p642 @p640 @p638 @p636 @p634 @p632 @p630 @p628 @p626 @p624 @p622 @p620 @p618 @p616 @p608 @p606 @p604 @p602 @p600 @p598 @p596 @p594 @p592 @p590) :args (@t244)) % 126.50/128.99 (step @p652 :rule cong :premises (@p651) :args (@t246)) % 126.50/128.99 (step @p653 :rule trans :premises (@p652 @p588)) % 126.50/128.99 (step @p654 :rule quant-miniscope-or :args ((= (forall @t313 @t653) @t643))) % 126.50/128.99 (step @p655 :rule aci_norm :args ((= @t654 @t653))) % 126.50/128.99 (step @p656 :rule cong :premises (@p655) :args ((forall @t313 @t654))) % 126.50/128.99 (step @p657 :rule trans :premises (@p656 @p654)) % 126.50/128.99 (step @p658 :rule aci_norm :args ((= (or @t446 (or @t444 (or @t442 (or @t428 (or @t426 (or @t424 (or @t440 (or @t438 (or @t436 (or @t434 (or @t432 (or @t430 (or @t422 (or @t420 (or @t415 (or @t413 (or @t411 (or @t409 (or @t406 (or @t404 (or @t402 (or @t400 (or @t398 (or @t396 (or @t394 (or @t392 (or @t390 @t388))))))))))))))))))))))))))) @t654))) % 126.50/128.99 (step @p659 :rule bool-and-de-morgan :args (@t389 @t387 true)) % 126.50/128.99 (step @p660 :rule refl :args (@t392)) % 126.50/128.99 (step @p661 :rule nary_cong :premises (@p660 @p659) :args ((or @t392 (not (and @t389 @t387))))) % 126.50/128.99 (step @p662 :rule bool-and-de-morgan :args (@t391 @t389 (and @t387))) % 126.50/128.99 (step @p663 :rule trans :premises (@p662 @p661)) % 126.50/128.99 (step @p664 :rule refl :args (@t394)) % 126.50/128.99 (step @p665 :rule nary_cong :premises (@p664 @p663) :args ((or @t394 (not (and @t391 @t389 @t387))))) % 126.50/128.99 (step @p666 :rule bool-and-de-morgan :args (@t393 @t391 (and @t389 @t387))) % 126.50/128.99 (step @p667 :rule trans :premises (@p666 @p665)) % 126.50/128.99 (step @p668 :rule refl :args (@t396)) % 126.50/128.99 (step @p669 :rule nary_cong :premises (@p668 @p667) :args ((or @t396 (not (and @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p670 :rule bool-and-de-morgan :args (@t395 @t393 (and @t391 @t389 @t387))) % 126.50/128.99 (step @p671 :rule trans :premises (@p670 @p669)) % 126.50/128.99 (step @p672 :rule refl :args (@t398)) % 126.50/128.99 (step @p673 :rule nary_cong :premises (@p672 @p671) :args ((or @t398 (not (and @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p674 :rule bool-and-de-morgan :args (@t397 @t395 (and @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p675 :rule trans :premises (@p674 @p673)) % 126.50/128.99 (step @p676 :rule refl :args (@t400)) % 126.50/128.99 (step @p677 :rule nary_cong :premises (@p676 @p675) :args ((or @t400 (not (and @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p678 :rule bool-and-de-morgan :args (@t399 @t397 (and @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p679 :rule trans :premises (@p678 @p677)) % 126.50/128.99 (step @p680 :rule refl :args (@t402)) % 126.50/128.99 (step @p681 :rule nary_cong :premises (@p680 @p679) :args ((or @t402 (not (and @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p682 :rule bool-and-de-morgan :args (@t401 @t399 (and @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p683 :rule trans :premises (@p682 @p681)) % 126.50/128.99 (step @p684 :rule refl :args (@t404)) % 126.50/128.99 (step @p685 :rule nary_cong :premises (@p684 @p683) :args ((or @t404 (not (and @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p686 :rule bool-and-de-morgan :args (@t403 @t401 (and @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p687 :rule trans :premises (@p686 @p685)) % 126.50/128.99 (step @p688 :rule refl :args (@t406)) % 126.50/128.99 (step @p689 :rule nary_cong :premises (@p688 @p687) :args ((or @t406 (not (and @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p690 :rule bool-and-de-morgan :args (@t405 @t403 (and @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p691 :rule trans :premises (@p690 @p689)) % 126.50/128.99 (step @p692 :rule refl :args (@t409)) % 126.50/128.99 (step @p693 :rule nary_cong :premises (@p692 @p691) :args ((or @t409 (not (and @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p694 :rule bool-and-de-morgan :args (@t408 @t405 (and @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p695 :rule trans :premises (@p694 @p693)) % 126.50/128.99 (step @p696 :rule refl :args (@t411)) % 126.50/128.99 (step @p697 :rule nary_cong :premises (@p696 @p695) :args ((or @t411 (not (and @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p698 :rule bool-and-de-morgan :args (@t410 @t408 (and @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p699 :rule trans :premises (@p698 @p697)) % 126.50/128.99 (step @p700 :rule refl :args (@t413)) % 126.50/128.99 (step @p701 :rule nary_cong :premises (@p700 @p699) :args ((or @t413 (not (and @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p702 :rule bool-and-de-morgan :args (@t412 @t410 (and @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p703 :rule trans :premises (@p702 @p701)) % 126.50/128.99 (step @p704 :rule refl :args (@t415)) % 126.50/128.99 (step @p705 :rule nary_cong :premises (@p704 @p703) :args ((or @t415 (not (and @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p706 :rule bool-and-de-morgan :args (@t414 @t412 (and @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p707 :rule trans :premises (@p706 @p705)) % 126.50/128.99 (step @p708 :rule refl :args (@t420)) % 126.50/128.99 (step @p709 :rule nary_cong :premises (@p708 @p707) :args ((or @t420 (not (and @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p710 :rule bool-and-de-morgan :args (@t419 @t414 (and @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p711 :rule trans :premises (@p710 @p709)) % 126.50/128.99 (step @p712 :rule refl :args (@t422)) % 126.50/128.99 (step @p713 :rule nary_cong :premises (@p712 @p711) :args ((or @t422 (not (and @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p714 :rule bool-and-de-morgan :args (@t421 @t419 (and @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p715 :rule trans :premises (@p714 @p713)) % 126.50/128.99 (step @p716 :rule refl :args (@t430)) % 126.50/128.99 (step @p717 :rule nary_cong :premises (@p716 @p715) :args ((or @t430 (not (and @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p718 :rule bool-and-de-morgan :args (@t429 @t421 (and @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p719 :rule trans :premises (@p718 @p717)) % 126.50/128.99 (step @p720 :rule refl :args (@t432)) % 126.50/128.99 (step @p721 :rule nary_cong :premises (@p720 @p719) :args ((or @t432 (not (and @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p722 :rule bool-and-de-morgan :args (@t431 @t429 (and @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p723 :rule trans :premises (@p722 @p721)) % 126.50/128.99 (step @p724 :rule refl :args (@t434)) % 126.50/128.99 (step @p725 :rule nary_cong :premises (@p724 @p723) :args ((or @t434 (not (and @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p726 :rule bool-and-de-morgan :args (@t433 @t431 (and @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p727 :rule trans :premises (@p726 @p725)) % 126.50/128.99 (step @p728 :rule refl :args (@t436)) % 126.50/128.99 (step @p729 :rule nary_cong :premises (@p728 @p727) :args ((or @t436 (not (and @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p730 :rule bool-and-de-morgan :args (@t435 @t433 (and @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p731 :rule trans :premises (@p730 @p729)) % 126.50/128.99 (step @p732 :rule refl :args (@t438)) % 126.50/128.99 (step @p733 :rule nary_cong :premises (@p732 @p731) :args ((or @t438 (not (and @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p734 :rule bool-and-de-morgan :args (@t437 @t435 (and @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p735 :rule trans :premises (@p734 @p733)) % 126.50/128.99 (step @p736 :rule refl :args (@t440)) % 126.50/128.99 (step @p737 :rule nary_cong :premises (@p736 @p735) :args ((or @t440 (not (and @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p738 :rule bool-and-de-morgan :args (@t439 @t437 (and @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p739 :rule trans :premises (@p738 @p737)) % 126.50/128.99 (step @p740 :rule refl :args (@t424)) % 126.50/128.99 (step @p741 :rule nary_cong :premises (@p740 @p739) :args ((or @t424 (not (and @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p742 :rule bool-and-de-morgan :args (@t423 @t439 (and @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p743 :rule trans :premises (@p742 @p741)) % 126.50/128.99 (step @p744 :rule refl :args (@t426)) % 126.50/128.99 (step @p745 :rule nary_cong :premises (@p744 @p743) :args ((or @t426 (not (and @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p746 :rule bool-and-de-morgan :args (@t425 @t423 (and @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p747 :rule trans :premises (@p746 @p745)) % 126.50/128.99 (step @p748 :rule refl :args (@t428)) % 126.50/128.99 (step @p749 :rule nary_cong :premises (@p748 @p747) :args ((or @t428 (not (and @t425 @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p750 :rule bool-and-de-morgan :args (@t427 @t425 (and @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p751 :rule trans :premises (@p750 @p749)) % 126.50/128.99 (step @p752 :rule refl :args (@t442)) % 126.50/128.99 (step @p753 :rule nary_cong :premises (@p752 @p751) :args ((or @t442 (not (and @t427 @t425 @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p754 :rule bool-and-de-morgan :args (@t441 @t427 (and @t425 @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p755 :rule trans :premises (@p754 @p753)) % 126.50/128.99 (step @p756 :rule refl :args (@t444)) % 126.50/128.99 (step @p757 :rule nary_cong :premises (@p756 @p755) :args ((or @t444 (not (and @t441 @t427 @t425 @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p758 :rule bool-and-de-morgan :args (@t443 @t441 (and @t427 @t425 @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p759 :rule trans :premises (@p758 @p757)) % 126.50/128.99 (step @p760 :rule refl :args (@t446)) % 126.50/128.99 (step @p761 :rule nary_cong :premises (@p760 @p759) :args ((or @t446 (not (and @t443 @t441 @t427 @t425 @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))))) % 126.50/128.99 (step @p762 :rule bool-and-de-morgan :args (@t445 @t443 (and @t441 @t427 @t425 @t423 @t439 @t437 @t435 @t433 @t431 @t429 @t421 @t419 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t389 @t387))) % 126.50/128.99 (step @p763 :rule trans :premises (@p762 @p761)) % 126.50/128.99 (step @p764 :rule trans :premises (@p763 @p658)) % 126.50/128.99 (step @p765 :rule cong :premises (@p764) :args (@t656)) % 126.50/128.99 (step @p766 :rule trans :premises (@p765 @p657)) % 126.50/128.99 (step @p767 :rule cong :premises (@p766) :args (@t657)) % 126.50/128.99 (step @p768 :rule exists-elim :args ((= (exists @t313 @t655) @t657))) % 126.50/128.99 (step @p769 :rule trans :premises (@p768 @p767)) % 126.50/128.99 (step @p770 :rule bool-impl-elim :args (@t15 @t249)) % 126.50/128.99 (step @p771 :rule cong :premises (@p770) :args (@t250)) % 126.50/128.99 (step @p772 :rule bool-impl-elim :args (@t15 @t251)) % 126.50/128.99 (step @p773 :rule cong :premises (@p772) :args (@t252)) % 126.50/128.99 (step @p774 :rule bool-impl-elim :args (@t15 @t254)) % 126.50/128.99 (step @p775 :rule cong :premises (@p774) :args (@t255)) % 126.50/128.99 (step @p776 :rule bool-impl-elim :args (@t15 @t256)) % 126.50/128.99 (step @p777 :rule cong :premises (@p776) :args (@t257)) % 126.50/128.99 (step @p778 :rule bool-impl-elim :args (@t15 @t258)) % 126.50/128.99 (step @p779 :rule cong :premises (@p778) :args (@t259)) % 126.50/128.99 (step @p780 :rule bool-impl-elim :args (@t15 @t260)) % 126.50/128.99 (step @p781 :rule cong :premises (@p780) :args (@t261)) % 126.50/128.99 (step @p782 :rule bool-impl-elim :args (@t15 @t262)) % 126.50/128.99 (step @p783 :rule cong :premises (@p782) :args (@t263)) % 126.50/128.99 (step @p784 :rule bool-impl-elim :args (@t15 @t264)) % 126.50/128.99 (step @p785 :rule cong :premises (@p784) :args (@t265)) % 126.50/128.99 (step @p786 :rule bool-impl-elim :args (@t15 @t266)) % 126.50/128.99 (step @p787 :rule cong :premises (@p786) :args (@t267)) % 126.50/128.99 (step @p788 :rule bool-impl-elim :args (@t15 @t268)) % 126.50/128.99 (step @p789 :rule cong :premises (@p788) :args (@t269)) % 126.50/128.99 (step @p790 :rule bool-impl-elim :args (@t15 @t407)) % 126.50/128.99 (step @p791 :rule cong :premises (@p790) :args ((forall @t32 (=> @t15 @t407)))) % 126.50/128.99 (step @p792 :rule bool-impl-elim :args (@t13 @t270)) % 126.50/128.99 (step @p793 :rule cong :premises (@p792) :args (@t271)) % 126.50/128.99 (step @p794 :rule cong :premises (@p793) :args (@t272)) % 126.50/128.99 (step @p795 :rule cong :premises (@p229 @p794) :args (@t273)) % 126.50/128.99 (step @p796 :rule cong :premises (@p795) :args (@t274)) % 126.50/128.99 (step @p797 :rule trans :premises (@p796 @p791)) % 126.50/128.99 (step @p798 :rule bool-impl-elim :args (@t15 @t275)) % 126.50/128.99 (step @p799 :rule cong :premises (@p798) :args (@t276)) % 126.50/128.99 (step @p800 :rule bool-impl-elim :args (@t15 @t277)) % 126.50/128.99 (step @p801 :rule cong :premises (@p800) :args (@t278)) % 126.50/128.99 (step @p802 :rule bool-impl-elim :args (@t15 @t279)) % 126.50/128.99 (step @p803 :rule cong :premises (@p802) :args (@t280)) % 126.50/128.99 (step @p804 :rule bool-impl-elim :args (@t15 @t283)) % 126.50/128.99 (step @p805 :rule cong :premises (@p804) :args (@t284)) % 126.50/128.99 (step @p806 :rule bool-impl-elim :args (@t15 @t286)) % 126.50/128.99 (step @p807 :rule cong :premises (@p806) :args (@t287)) % 126.50/128.99 (step @p808 :rule bool-impl-elim :args (@t15 @t288)) % 126.50/128.99 (step @p809 :rule cong :premises (@p808) :args (@t289)) % 126.50/128.99 (step @p810 :rule bool-impl-elim :args (@t15 @t290)) % 126.50/128.99 (step @p811 :rule cong :premises (@p810) :args (@t291)) % 126.50/128.99 (step @p812 :rule bool-impl-elim :args (@t15 @t292)) % 126.50/128.99 (step @p813 :rule cong :premises (@p812) :args (@t293)) % 126.50/128.99 (step @p814 :rule bool-impl-elim :args (@t15 @t294)) % 126.50/128.99 (step @p815 :rule cong :premises (@p814) :args (@t295)) % 126.50/128.99 (step @p816 :rule bool-impl-elim :args (@t15 @t296)) % 126.50/128.99 (step @p817 :rule cong :premises (@p816) :args (@t297)) % 126.50/128.99 (step @p818 :rule bool-impl-elim :args (@t15 @t298)) % 126.50/128.99 (step @p819 :rule cong :premises (@p818) :args (@t299)) % 126.50/128.99 (step @p820 :rule bool-impl-elim :args (@t15 @t300)) % 126.50/128.99 (step @p821 :rule cong :premises (@p820) :args (@t301)) % 126.50/128.99 (step @p822 :rule bool-impl-elim :args (@t15 @t302)) % 126.50/128.99 (step @p823 :rule cong :premises (@p822) :args (@t303)) % 126.50/128.99 (step @p824 :rule bool-impl-elim :args (@t15 @t304)) % 126.50/128.99 (step @p825 :rule cong :premises (@p824) :args (@t305)) % 126.50/128.99 (step @p826 :rule bool-impl-elim :args (@t15 @t306)) % 126.50/128.99 (step @p827 :rule cong :premises (@p826) :args (@t307)) % 126.50/128.99 (step @p828 :rule bool-impl-elim :args (@t15 @t308)) % 126.50/128.99 (step @p829 :rule cong :premises (@p828) :args (@t309)) % 126.50/128.99 (step @p830 :rule bool-impl-elim :args (@t15 @t310)) % 126.50/128.99 (step @p831 :rule cong :premises (@p830) :args (@t311)) % 126.50/128.99 (step @p832 :rule nary_cong :premises (@p831 @p829 @p827 @p825 @p823 @p821 @p819 @p817 @p815 @p813 @p811 @p809 @p807 @p805 @p803 @p801 @p799 @p797 @p789 @p787 @p785 @p783 @p781 @p779 @p777 @p775 @p773 @p771) :args (@t312)) % 126.50/128.99 (step @p833 :rule cong :premises (@p832) :args (@t314)) % 126.50/128.99 (step @p834 :rule trans :premises (@p833 @p769)) % 126.50/128.99 (step @p835 :rule cong :premises (@p834 @p653) :args (@t315)) % 126.50/128.99 (step @p836 :rule cong :premises (@p452 @p835) :args (@t316)) % 126.50/128.99 (step @p837 :rule cong :premises (@p836) :args (@t317)) % 126.50/128.99 (step @p838 :rule trans :premises (@p837 @p472)) % 126.50/128.99 (step @p839 :rule nary_cong :premises (@p838 @p455) :args (@t318)) % 126.50/128.99 (step @p840 :rule cong :premises (@p839) :args (@t319)) % 126.50/128.99 (step @p841 :rule trans :premises (@p840 @p69)) % 126.50/128.99 (step @p842 :rule cong :premises (@p841) :args (@t320)) % 126.50/128.99 (step @p843 :rule eq_resolve :premises (@p29 @p842)) % 126.50/128.99 (step @p844 :rule not_and :premises (@p843)) % 126.50/128.99 (step @p845 :rule chain_m_resolution :premises (@p844 @p60) :args (@t658 @t484 (@list @t452))) % 126.50/128.99 (step @p846 :rule refl :args (@t670)) % 126.50/128.99 (step @p847 :rule bool-double-not-elim :args (@t614)) % 126.50/128.99 (step @p848 :rule nary_cong :premises (@p847 @p846) :args ((or (not @t658) @t670))) % 126.50/128.99 (assume-push @p883 @t658) % 126.50/128.99 (step @p850 :rule skolemize :premises (@p883)) % 126.50/128.99 (step-pop @p884 :rule scope :premises (@p850)) % 126.50/128.99 (step @p851 :rule process_scope :premises (@p884) :args (@t670)) % 126.50/128.99 (step @p853 :rule implies_elim :premises (@p851)) % 126.50/128.99 (step @p854 :rule eq_resolve :premises (@p853 @p848)) % 126.50/128.99 (step @p855 :rule chain_m_resolution :premises (@p854 @p845) :args (@t670 @t671 (@list @t614))) % 126.50/128.99 (step @p856 :rule cnf_or_neg :args (@t669 3)) % 126.50/128.99 (step @p857 :rule chain_m_resolution :premises (@p856 @p855) :args ((not @t666) @t671 @t672)) % 126.50/128.99 (step @p858 :rule cnf_or_neg :args (@t669 1)) % 126.50/128.99 (step @p859 :rule chain_m_resolution :premises (@p858 @p855) :args ((not @t668) @t671 @t672)) % 126.50/128.99 (step @p860 :rule quant_var_reordering :args ((= (forall (@list @t66 @t67 @t73 @t70) @t663) @t664))) % 126.50/128.99 (step @p861 :rule alpha_equiv :args ((forall (@list @t673 @t674 @t679 @t678) (or (not (forall @t677 (or @t676 (tptp.hollywood @t675 @t673)))) (not (forall @t677 (or @t676 (tptp.city @t675 @t673)))) (not (forall @t677 (or @t676 (tptp.event @t675 @t674)))) (not (forall @t677 (or @t676 (tptp.chevy @t675 @t679)))) (not (forall @t677 (or @t676 (tptp.car @t675 @t679)))) (not (forall @t677 (or @t676 (tptp.white @t675 @t679)))) (not (forall @t677 (or @t676 (tptp.dirty @t675 @t679)))) (not (forall @t677 (or @t676 (tptp.old @t675 @t679)))) (not (forall @t677 (or @t676 (tptp.barrel @t675 @t674 @t679)))) (not (forall @t677 (or @t676 (tptp.street @t675 @t678)))) (not (forall @t677 (or @t676 (tptp.way @t675 @t678)))) (not (forall @t677 (or @t676 (tptp.lonely @t675 @t678)))) (not (forall @t677 (or @t676 (tptp.down @t675 @t674 @t678)))) (not (forall @t677 (or @t676 (tptp.in @t675 @t674 @t673)))))) @t680 (@list @t12 @t67 @t73 @t66 @t70))) % 126.50/128.99 (step @p862 :rule alpha_equiv :args (@t668 (@list @t12 @t138 @t144 @t137 @t141) @t680)) % 126.50/128.99 (step @p863 :rule trans :premises (@p862 @p861 @p860)) % 126.50/128.99 (step @p864 :rule equiv_elim2 :premises (@p863)) % 126.50/128.99 (step @p865 :rule chain_m_resolution :premises (@p864 @p859) :args (@t665 @t671 (@list @t668))) % 126.50/128.99 (step @p866 :rule cnf_or_neg :args (@t669 2)) % 126.50/128.99 (step @p867 :rule chain_m_resolution :premises (@p866 @p855) :args ((not @t667) @t671 @t672)) % 126.50/128.99 (step @p868 :rule alpha_equiv :args ((forall (@list @t688 @t686 @t681 @t687 @t682) (or (not (forall @t685 (or @t684 (tptp.seat @t683 @t681)))) (not (forall @t685 (or @t684 (tptp.furniture @t683 @t681)))) (not (forall @t685 (or @t684 (tptp.front @t683 @t681)))) (not (forall @t685 (or @t684 (not (forall (@list @t689) (or (not (|tptp.'$accessible_world'| @t683 @t689)) (tptp.qmltpeq @t689 @t688 @t686))))))) (not (forall @t685 (or @t684 (tptp.fellow @t683 @t688)))) (not (forall @t685 (or @t684 (tptp.man @t683 @t688)))) (not (forall @t685 (or @t684 (tptp.young @t683 @t688)))) (not (forall @t685 (or @t684 (tptp.fellow @t683 @t686)))) (not (forall @t685 (or @t684 (tptp.man @t683 @t686)))) (not (forall @t685 (or @t684 (tptp.young @t683 @t686)))) (not (forall @t685 (or @t684 (tptp.qmltpeq @t683 @t688 @t687)))) (not (forall @t685 (or @t684 (tptp.in @t683 @t687 @t681)))) (not (forall @t685 (or @t684 (tptp.qmltpeq @t683 @t686 @t682)))) (not (forall @t685 (or @t684 (tptp.in @t683 @t682 @t681)))))) @t690 (@list @t12 @t11 @t40 @t34 @t37 @t30 @t29))) % 126.50/128.99 (step @p869 :rule alpha_equiv :args (@t667 (@list @t12 @t11 @t111 @t105 @t108 @t102 @t101) @t690)) % 126.50/128.99 (step @p870 :rule trans :premises (@p869 @p868)) % 126.50/128.99 (step @p871 :rule equiv_elim2 :premises (@p870)) % 126.50/128.99 (step @p872 :rule chain_m_resolution :premises (@p871 @p867) :args (@t662 @t671 (@list @t667))) % 126.50/128.99 (step @p873 :rule bool-double-not-elim :args (@t661)) % 126.50/128.99 (step @p874 :rule bool-double-not-elim :args (@t664)) % 126.50/128.99 (step @p875 :rule refl :args (@t666)) % 126.50/128.99 (step @p876 :rule nary_cong :premises (@p875 @p874 @p873) :args ((or @t666 (not @t665) (not @t662)))) % 126.50/128.99 (step @p877 :rule cnf_and_neg :args (@t666)) % 126.50/128.99 (step @p878 :rule eq_resolve :premises (@p877 @p876)) % 126.50/128.99 (step @p879 :rule reordering :premises (@p878) :args ((or @t664 @t661 @t666))) % 126.50/128.99 (step @p880 false :rule chain_m_resolution :premises (@p879 @p872 @p865 @p857) :args (false (@list true true true) (@list @t661 @t664 @t666))) % 126.50/128.99 ) % 126.50/128.99 % SZS output end Proof % 126.50/128.99 % cvc5 exiting %------------------------------------------------------------------------------