%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP007+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:36:16 AM UTC 2026 % Result : Theorem 0.44s 0.67s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP007+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 09:51:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.67 % SZS status Theorem % 0.44/0.67 % SZS output start Proof % 0.44/0.67 ( % 0.44/0.67 (declare-sort $$unsorted 0) % 0.44/0.67 (declare-const tptp.hollywood (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.city (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.event (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.chevy (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.car (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.white (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.dirty (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.young (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.man (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.fellow (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.front (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.barrel (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.furniture (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.seat (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.lonely (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.down (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.way (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.street (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.old (-> $$unsorted Bool)) % 0.44/0.67 (define @t1 () (@var "X25" $$unsorted)) % 0.44/0.67 (define @t2 () (@var "X34" $$unsorted)) % 0.44/0.67 (define @t3 () (tptp.in @t2 @t1)) % 0.44/0.67 (define @t4 () (@var "X31" $$unsorted)) % 0.44/0.67 (define @t5 () (= @t4 @t2)) % 0.44/0.67 (define @t6 () (@var "X32" $$unsorted)) % 0.44/0.67 (define @t7 () (@var "X33" $$unsorted)) % 0.44/0.67 (define @t8 () (tptp.in @t7 @t6)) % 0.44/0.67 (define @t9 () (@var "X30" $$unsorted)) % 0.44/0.67 (define @t10 () (= @t9 @t7)) % 0.44/0.67 (define @t11 () (tptp.young @t4)) % 0.44/0.67 (define @t12 () (tptp.man @t4)) % 0.44/0.67 (define @t13 () (tptp.fellow @t4)) % 0.44/0.67 (define @t14 () (tptp.young @t9)) % 0.44/0.67 (define @t15 () (tptp.man @t9)) % 0.44/0.67 (define @t16 () (tptp.fellow @t9)) % 0.44/0.67 (define @t17 () (= @t9 @t4)) % 0.44/0.67 (define @t18 () (not @t17)) % 0.44/0.67 (define @t19 () (tptp.front @t6)) % 0.44/0.67 (define @t20 () (tptp.furniture @t6)) % 0.44/0.67 (define @t21 () (tptp.seat @t6)) % 0.44/0.67 (define @t22 () (@var "X26" $$unsorted)) % 0.44/0.67 (define @t23 () (@var "X27" $$unsorted)) % 0.44/0.67 (define @t24 () (tptp.in @t23 @t22)) % 0.44/0.67 (define @t25 () (@var "X29" $$unsorted)) % 0.44/0.67 (define @t26 () (tptp.down @t23 @t25)) % 0.44/0.67 (define @t27 () (@var "X28" $$unsorted)) % 0.44/0.67 (define @t28 () (tptp.barrel @t23 @t27)) % 0.44/0.67 (define @t29 () (tptp.lonely @t25)) % 0.44/0.67 (define @t30 () (tptp.way @t25)) % 0.44/0.67 (define @t31 () (tptp.street @t25)) % 0.44/0.67 (define @t32 () (tptp.old @t27)) % 0.44/0.67 (define @t33 () (tptp.dirty @t27)) % 0.44/0.67 (define @t34 () (tptp.white @t27)) % 0.44/0.67 (define @t35 () (tptp.car @t27)) % 0.44/0.67 (define @t36 () (tptp.chevy @t27)) % 0.44/0.67 (define @t37 () (tptp.event @t23)) % 0.44/0.67 (define @t38 () (tptp.city @t22)) % 0.44/0.67 (define @t39 () (tptp.hollywood @t22)) % 0.44/0.67 (define @t40 () (tptp.front @t1)) % 0.44/0.67 (define @t41 () (tptp.furniture @t1)) % 0.44/0.67 (define @t42 () (tptp.seat @t1)) % 0.44/0.67 (define @t43 () (and @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3)) % 0.44/0.67 (define @t44 () (@list @t1 @t22 @t23 @t27 @t25 @t9 @t4 @t6 @t7 @t2)) % 0.44/0.67 (define @t45 () (exists @t44 @t43)) % 0.44/0.67 (define @t46 () (@var "X22" $$unsorted)) % 0.44/0.67 (define @t47 () (@var "X24" $$unsorted)) % 0.44/0.67 (define @t48 () (tptp.in @t47 @t46)) % 0.44/0.67 (define @t49 () (@var "X21" $$unsorted)) % 0.44/0.67 (define @t50 () (= @t49 @t47)) % 0.44/0.67 (define @t51 () (@var "X15" $$unsorted)) % 0.44/0.67 (define @t52 () (@var "X23" $$unsorted)) % 0.44/0.67 (define @t53 () (tptp.in @t52 @t51)) % 0.44/0.67 (define @t54 () (@var "X20" $$unsorted)) % 0.44/0.67 (define @t55 () (= @t54 @t52)) % 0.44/0.67 (define @t56 () (tptp.young @t49)) % 0.44/0.67 (define @t57 () (tptp.man @t49)) % 0.44/0.67 (define @t58 () (tptp.fellow @t49)) % 0.44/0.67 (define @t59 () (tptp.young @t54)) % 0.44/0.67 (define @t60 () (tptp.man @t54)) % 0.44/0.67 (define @t61 () (tptp.fellow @t54)) % 0.44/0.67 (define @t62 () (= @t54 @t49)) % 0.44/0.67 (define @t63 () (not @t62)) % 0.44/0.67 (define @t64 () (tptp.front @t46)) % 0.44/0.67 (define @t65 () (tptp.furniture @t46)) % 0.44/0.67 (define @t66 () (tptp.seat @t46)) % 0.44/0.67 (define @t67 () (@var "X16" $$unsorted)) % 0.44/0.67 (define @t68 () (@var "X17" $$unsorted)) % 0.44/0.67 (define @t69 () (tptp.in @t68 @t67)) % 0.44/0.67 (define @t70 () (@var "X19" $$unsorted)) % 0.44/0.67 (define @t71 () (tptp.down @t68 @t70)) % 0.44/0.67 (define @t72 () (@var "X18" $$unsorted)) % 0.44/0.67 (define @t73 () (tptp.barrel @t68 @t72)) % 0.44/0.67 (define @t74 () (tptp.lonely @t70)) % 0.44/0.67 (define @t75 () (tptp.way @t70)) % 0.44/0.67 (define @t76 () (tptp.street @t70)) % 0.44/0.67 (define @t77 () (tptp.old @t72)) % 0.44/0.67 (define @t78 () (tptp.dirty @t72)) % 0.44/0.67 (define @t79 () (tptp.white @t72)) % 0.44/0.67 (define @t80 () (tptp.car @t72)) % 0.44/0.67 (define @t81 () (tptp.chevy @t72)) % 0.44/0.67 (define @t82 () (tptp.event @t68)) % 0.44/0.67 (define @t83 () (tptp.city @t67)) % 0.44/0.67 (define @t84 () (tptp.hollywood @t67)) % 0.44/0.67 (define @t85 () (tptp.front @t51)) % 0.44/0.67 (define @t86 () (tptp.furniture @t51)) % 0.44/0.67 (define @t87 () (tptp.seat @t51)) % 0.44/0.67 (define @t88 () (and @t87 @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48)) % 0.44/0.67 (define @t89 () (@list @t51 @t67 @t68 @t72 @t70 @t54 @t49 @t46 @t52 @t47)) % 0.44/0.67 (define @t90 () (exists @t89 @t88)) % 0.44/0.67 (define @t91 () (=> @t90 @t45)) % 0.44/0.67 (define @t92 () (@var "X12" $$unsorted)) % 0.44/0.67 (define @t93 () (@var "X14" $$unsorted)) % 0.44/0.67 (define @t94 () (tptp.in @t93 @t92)) % 0.44/0.67 (define @t95 () (@var "X11" $$unsorted)) % 0.44/0.67 (define @t96 () (= @t95 @t93)) % 0.44/0.67 (define @t97 () (@var "X5" $$unsorted)) % 0.44/0.67 (define @t98 () (@var "X13" $$unsorted)) % 0.44/0.67 (define @t99 () (tptp.in @t98 @t97)) % 0.44/0.67 (define @t100 () (@var "X10" $$unsorted)) % 0.44/0.67 (define @t101 () (= @t100 @t98)) % 0.44/0.67 (define @t102 () (tptp.young @t95)) % 0.44/0.67 (define @t103 () (tptp.man @t95)) % 0.44/0.67 (define @t104 () (tptp.fellow @t95)) % 0.44/0.67 (define @t105 () (tptp.young @t100)) % 0.44/0.67 (define @t106 () (tptp.man @t100)) % 0.44/0.67 (define @t107 () (tptp.fellow @t100)) % 0.44/0.67 (define @t108 () (= @t100 @t95)) % 0.44/0.67 (define @t109 () (not @t108)) % 0.44/0.67 (define @t110 () (tptp.front @t92)) % 0.44/0.67 (define @t111 () (tptp.furniture @t92)) % 0.44/0.67 (define @t112 () (tptp.seat @t92)) % 0.44/0.67 (define @t113 () (@var "X6" $$unsorted)) % 0.44/0.67 (define @t114 () (@var "X7" $$unsorted)) % 0.44/0.67 (define @t115 () (tptp.in @t114 @t113)) % 0.44/0.67 (define @t116 () (@var "X9" $$unsorted)) % 0.44/0.67 (define @t117 () (tptp.down @t114 @t116)) % 0.44/0.67 (define @t118 () (@var "X8" $$unsorted)) % 0.44/0.67 (define @t119 () (tptp.barrel @t114 @t118)) % 0.44/0.67 (define @t120 () (tptp.lonely @t116)) % 0.44/0.67 (define @t121 () (tptp.way @t116)) % 0.44/0.67 (define @t122 () (tptp.street @t116)) % 0.44/0.67 (define @t123 () (tptp.old @t118)) % 0.44/0.67 (define @t124 () (tptp.dirty @t118)) % 0.44/0.67 (define @t125 () (tptp.white @t118)) % 0.44/0.67 (define @t126 () (tptp.car @t118)) % 0.44/0.67 (define @t127 () (tptp.chevy @t118)) % 0.44/0.67 (define @t128 () (tptp.event @t114)) % 0.44/0.67 (define @t129 () (tptp.city @t113)) % 0.44/0.67 (define @t130 () (tptp.hollywood @t113)) % 0.44/0.67 (define @t131 () (tptp.front @t97)) % 0.44/0.67 (define @t132 () (tptp.furniture @t97)) % 0.44/0.67 (define @t133 () (tptp.seat @t97)) % 0.44/0.67 (define @t134 () (and @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94)) % 0.44/0.67 (define @t135 () (@list @t97 @t113 @t114 @t118 @t116 @t100 @t95 @t92 @t98 @t93)) % 0.44/0.67 (define @t136 () (exists @t135 @t134)) % 0.44/0.67 (define @t137 () (@var "U" $$unsorted)) % 0.44/0.67 (define @t138 () (@var "X4" $$unsorted)) % 0.44/0.67 (define @t139 () (tptp.in @t138 @t137)) % 0.44/0.67 (define @t140 () (@var "X1" $$unsorted)) % 0.44/0.67 (define @t141 () (= @t140 @t138)) % 0.44/0.67 (define @t142 () (@var "X2" $$unsorted)) % 0.44/0.67 (define @t143 () (@var "X3" $$unsorted)) % 0.44/0.67 (define @t144 () (tptp.in @t143 @t142)) % 0.44/0.67 (define @t145 () (@var "Z" $$unsorted)) % 0.44/0.67 (define @t146 () (= @t145 @t143)) % 0.44/0.67 (define @t147 () (tptp.young @t140)) % 0.44/0.67 (define @t148 () (tptp.man @t140)) % 0.44/0.67 (define @t149 () (tptp.fellow @t140)) % 0.44/0.67 (define @t150 () (tptp.young @t145)) % 0.44/0.67 (define @t151 () (tptp.man @t145)) % 0.44/0.67 (define @t152 () (tptp.fellow @t145)) % 0.44/0.67 (define @t153 () (= @t145 @t140)) % 0.44/0.67 (define @t154 () (not @t153)) % 0.44/0.67 (define @t155 () (tptp.front @t142)) % 0.44/0.67 (define @t156 () (tptp.furniture @t142)) % 0.44/0.67 (define @t157 () (tptp.seat @t142)) % 0.44/0.67 (define @t158 () (@var "V" $$unsorted)) % 0.44/0.67 (define @t159 () (@var "W" $$unsorted)) % 0.44/0.67 (define @t160 () (tptp.in @t159 @t158)) % 0.44/0.67 (define @t161 () (@var "Y" $$unsorted)) % 0.44/0.67 (define @t162 () (tptp.down @t159 @t161)) % 0.44/0.67 (define @t163 () (@var "X" $$unsorted)) % 0.44/0.67 (define @t164 () (tptp.barrel @t159 @t163)) % 0.44/0.67 (define @t165 () (tptp.lonely @t161)) % 0.44/0.67 (define @t166 () (tptp.way @t161)) % 0.44/0.67 (define @t167 () (tptp.street @t161)) % 0.44/0.67 (define @t168 () (tptp.old @t163)) % 0.44/0.67 (define @t169 () (tptp.dirty @t163)) % 0.44/0.67 (define @t170 () (tptp.white @t163)) % 0.44/0.67 (define @t171 () (tptp.car @t163)) % 0.44/0.67 (define @t172 () (tptp.chevy @t163)) % 0.44/0.67 (define @t173 () (tptp.event @t159)) % 0.44/0.67 (define @t174 () (tptp.city @t158)) % 0.44/0.67 (define @t175 () (tptp.hollywood @t158)) % 0.44/0.67 (define @t176 () (tptp.front @t137)) % 0.44/0.67 (define @t177 () (tptp.furniture @t137)) % 0.44/0.67 (define @t178 () (tptp.seat @t137)) % 0.44/0.67 (define @t179 () (and @t178 @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139)) % 0.44/0.67 (define @t180 () (@list @t137 @t158 @t159 @t163 @t161 @t145 @t140 @t142 @t143 @t138)) % 0.44/0.67 (define @t181 () (exists @t180 @t179)) % 0.44/0.67 (define @t182 () (=> @t181 @t136)) % 0.44/0.67 (define @t183 () (and @t182 @t91)) % 0.44/0.67 (define @t184 () (not @t183)) % 0.44/0.67 (define @t185 () (not @t139)) % 0.44/0.67 (define @t186 () (not @t144)) % 0.44/0.67 (define @t187 () (not (tptp.young @t138))) % 0.44/0.67 (define @t188 () (not (tptp.man @t138))) % 0.44/0.67 (define @t189 () (not (tptp.fellow @t138))) % 0.44/0.67 (define @t190 () (not (tptp.young @t143))) % 0.44/0.67 (define @t191 () (not (tptp.man @t143))) % 0.44/0.67 (define @t192 () (not (tptp.fellow @t143))) % 0.44/0.67 (define @t193 () (= @t143 @t138)) % 0.44/0.67 (define @t194 () (not @t155)) % 0.44/0.67 (define @t195 () (not @t156)) % 0.44/0.67 (define @t196 () (not @t157)) % 0.44/0.67 (define @t197 () (not @t176)) % 0.44/0.67 (define @t198 () (not @t177)) % 0.44/0.67 (define @t199 () (not @t178)) % 0.44/0.67 (define @t200 () (or @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185)) % 0.44/0.67 (define @t201 () (@list @t137 @t142 @t143 @t138)) % 0.44/0.67 (define @t202 () (forall @t201 @t200)) % 0.44/0.67 (define @t203 () (@quantifiers_skolemize @t202 0)) % 0.44/0.67 (define @t204 () (@quantifiers_skolemize @t202 3)) % 0.44/0.67 (define @t205 () (@quantifiers_skolemize @t202 1)) % 0.44/0.67 (define @t206 () (@quantifiers_skolemize @t202 2)) % 0.44/0.67 (define @t207 () (or (not (tptp.seat @t203)) (not (tptp.furniture @t203)) (not (tptp.front @t203)) (not (tptp.seat @t205)) (not (tptp.furniture @t205)) (not (tptp.front @t205)) (= @t206 @t204) (not (tptp.fellow @t206)) (not (tptp.man @t206)) (not (tptp.young @t206)) (not (tptp.fellow @t204)) (not (tptp.man @t204)) (not (tptp.young @t204)) (not (tptp.in @t206 @t205)) (not (tptp.in @t204 @t203)))) % 0.44/0.67 (define @t208 () (not @t207)) % 0.44/0.67 (define @t209 () (not @t202)) % 0.44/0.67 (define @t210 () (not @t24)) % 0.44/0.67 (define @t211 () (not @t26)) % 0.44/0.67 (define @t212 () (not @t29)) % 0.44/0.67 (define @t213 () (not @t30)) % 0.44/0.67 (define @t214 () (not @t31)) % 0.44/0.67 (define @t215 () (not @t28)) % 0.44/0.67 (define @t216 () (not @t32)) % 0.44/0.67 (define @t217 () (not @t33)) % 0.44/0.67 (define @t218 () (not @t34)) % 0.44/0.67 (define @t219 () (not @t35)) % 0.44/0.67 (define @t220 () (not @t36)) % 0.44/0.67 (define @t221 () (not @t37)) % 0.44/0.67 (define @t222 () (not @t38)) % 0.44/0.67 (define @t223 () (not @t39)) % 0.44/0.67 (define @t224 () (or @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t210)) % 0.44/0.67 (define @t225 () (forall (@list @t22 @t23 @t27 @t25) @t224)) % 0.44/0.67 (define @t226 () (not @t3)) % 0.44/0.67 (define @t227 () (not @t8)) % 0.44/0.67 (define @t228 () (not (tptp.young @t2))) % 0.44/0.67 (define @t229 () (not (tptp.man @t2))) % 0.44/0.67 (define @t230 () (not (tptp.fellow @t2))) % 0.44/0.67 (define @t231 () (not (tptp.young @t7))) % 0.44/0.67 (define @t232 () (not (tptp.man @t7))) % 0.44/0.67 (define @t233 () (not (tptp.fellow @t7))) % 0.44/0.67 (define @t234 () (= @t7 @t2)) % 0.44/0.67 (define @t235 () (not @t19)) % 0.44/0.67 (define @t236 () (not @t20)) % 0.44/0.67 (define @t237 () (not @t21)) % 0.44/0.67 (define @t238 () (not @t40)) % 0.44/0.67 (define @t239 () (not @t41)) % 0.44/0.67 (define @t240 () (not @t42)) % 0.44/0.67 (define @t241 () (or @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t227 @t226)) % 0.44/0.67 (define @t242 () (@list @t1 @t6 @t7 @t2)) % 0.44/0.67 (define @t243 () (forall @t242 @t241)) % 0.44/0.67 (define @t244 () (or @t243 @t225)) % 0.44/0.67 (define @t245 () (not @t244)) % 0.44/0.67 (define @t246 () (not @t48)) % 0.44/0.67 (define @t247 () (not @t53)) % 0.44/0.67 (define @t248 () (not (tptp.young @t47))) % 0.44/0.67 (define @t249 () (not (tptp.man @t47))) % 0.44/0.67 (define @t250 () (not (tptp.fellow @t47))) % 0.44/0.67 (define @t251 () (not (tptp.young @t52))) % 0.44/0.67 (define @t252 () (not (tptp.man @t52))) % 0.44/0.67 (define @t253 () (not (tptp.fellow @t52))) % 0.44/0.67 (define @t254 () (= @t52 @t47)) % 0.44/0.67 (define @t255 () (not @t85)) % 0.44/0.67 (define @t256 () (not @t86)) % 0.44/0.67 (define @t257 () (not @t87)) % 0.44/0.67 (define @t258 () (not @t64)) % 0.44/0.67 (define @t259 () (not @t65)) % 0.44/0.67 (define @t260 () (not @t66)) % 0.44/0.67 (define @t261 () (or @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246)) % 0.44/0.67 (define @t262 () (@list @t51 @t46 @t52 @t47)) % 0.44/0.67 (define @t263 () (forall @t262 @t261)) % 0.44/0.67 (define @t264 () (not @t69)) % 0.44/0.67 (define @t265 () (not @t71)) % 0.44/0.67 (define @t266 () (not @t74)) % 0.44/0.67 (define @t267 () (not @t75)) % 0.44/0.67 (define @t268 () (not @t76)) % 0.44/0.67 (define @t269 () (not @t73)) % 0.44/0.67 (define @t270 () (not @t77)) % 0.44/0.67 (define @t271 () (not @t78)) % 0.44/0.67 (define @t272 () (not @t79)) % 0.44/0.67 (define @t273 () (not @t80)) % 0.44/0.67 (define @t274 () (not @t81)) % 0.44/0.67 (define @t275 () (not @t82)) % 0.44/0.67 (define @t276 () (not @t83)) % 0.44/0.67 (define @t277 () (not @t84)) % 0.44/0.67 (define @t278 () (or @t277 @t276 @t275 @t274 @t273 @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t265 @t264)) % 0.44/0.67 (define @t279 () (forall (@list @t67 @t68 @t72 @t70) @t278)) % 0.44/0.67 (define @t280 () (or @t279 @t263)) % 0.44/0.67 (define @t281 () (not @t280)) % 0.44/0.67 (define @t282 () (=> @t281 @t245)) % 0.44/0.67 (define @t283 () (not @t160)) % 0.44/0.67 (define @t284 () (not @t162)) % 0.44/0.67 (define @t285 () (not @t165)) % 0.44/0.67 (define @t286 () (not @t166)) % 0.44/0.67 (define @t287 () (not @t167)) % 0.44/0.67 (define @t288 () (not @t164)) % 0.44/0.67 (define @t289 () (not @t168)) % 0.44/0.67 (define @t290 () (not @t169)) % 0.44/0.67 (define @t291 () (not @t170)) % 0.44/0.67 (define @t292 () (not @t171)) % 0.44/0.67 (define @t293 () (not @t172)) % 0.44/0.67 (define @t294 () (not @t173)) % 0.44/0.67 (define @t295 () (not @t174)) % 0.44/0.67 (define @t296 () (not @t175)) % 0.44/0.67 (define @t297 () (or @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283)) % 0.44/0.67 (define @t298 () (forall (@list @t158 @t159 @t163 @t161) @t297)) % 0.44/0.67 (define @t299 () (@list @t159 @t158 @t163 @t161)) % 0.44/0.67 (define @t300 () (not (= @t2 @t2))) % 0.44/0.67 (define @t301 () (or @t240 @t239 @t238 @t237 @t236 @t235 (= @t2 @t7) @t233 @t232 @t231 @t230 @t229 @t228 @t227 @t300 @t226)) % 0.44/0.67 (define @t302 () (not @t5)) % 0.44/0.67 (define @t303 () (not @t11)) % 0.44/0.67 (define @t304 () (not @t12)) % 0.44/0.67 (define @t305 () (not @t13)) % 0.44/0.67 (define @t306 () (= @t4 @t7)) % 0.44/0.67 (define @t307 () (or @t302 @t240 @t239 @t238 @t237 @t236 @t235 @t306 @t233 @t232 @t231 @t305 @t304 @t303 @t227 @t302 @t226)) % 0.44/0.67 (define @t308 () (@list @t4)) % 0.44/0.67 (define @t309 () (or @t240 @t239 @t238 @t237 @t236 @t235 @t306 @t233 @t232 @t231 @t305 @t304 @t303 @t227 @t302 @t226)) % 0.44/0.67 (define @t310 () (forall @t308 @t309)) % 0.44/0.67 (define @t311 () (forall @t242 @t310)) % 0.44/0.67 (define @t312 () (forall (@list @t1 @t6 @t7 @t2 @t4) @t309)) % 0.44/0.67 (define @t313 () (@list @t1 @t4 @t6 @t7 @t2)) % 0.44/0.67 (define @t314 () (not (= @t7 @t7))) % 0.44/0.67 (define @t315 () (or @t240 @t239 @t238 @t237 @t236 @t235 (= @t7 @t4) @t233 @t232 @t231 @t305 @t304 @t303 @t314 @t227 @t302 @t226)) % 0.44/0.67 (define @t316 () (not @t10)) % 0.44/0.67 (define @t317 () (not @t14)) % 0.44/0.67 (define @t318 () (not @t15)) % 0.44/0.67 (define @t319 () (not @t16)) % 0.44/0.67 (define @t320 () (or @t316 @t240 @t239 @t238 @t237 @t236 @t235 @t17 @t319 @t318 @t317 @t305 @t304 @t303 @t316 @t227 @t302 @t226)) % 0.44/0.67 (define @t321 () (@list @t9)) % 0.44/0.67 (define @t322 () (or @t240 @t239 @t238 @t237 @t236 @t235 @t17 @t319 @t318 @t317 @t305 @t304 @t303 @t316 @t227 @t302 @t226)) % 0.44/0.67 (define @t323 () (forall @t321 @t322)) % 0.44/0.67 (define @t324 () (forall @t313 @t323)) % 0.44/0.67 (define @t325 () (forall (@list @t1 @t4 @t6 @t7 @t2 @t9) @t322)) % 0.44/0.67 (define @t326 () (forall (@list @t1 @t9 @t4 @t6 @t7 @t2) @t322)) % 0.44/0.67 (define @t327 () (or @t326 @t225)) % 0.44/0.67 (define @t328 () (or @t322 @t224)) % 0.44/0.67 (define @t329 () (@list @t1 @t9 @t4 @t6 @t7 @t2 @t22 @t23 @t27 @t25)) % 0.44/0.67 (define @t330 () (or @t240 @t239 @t238 @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t214 @t213 @t212 @t215 @t211 @t210 @t237 @t236 @t235 @t17 @t319 @t318 @t317 @t305 @t304 @t303 @t316 @t227 @t302 @t226)) % 0.44/0.67 (define @t331 () (forall @t329 @t330)) % 0.44/0.67 (define @t332 () (not @t18)) % 0.44/0.67 (define @t333 () (or @t240 @t239 @t238 @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t214 @t213 @t212 @t215 @t211 @t210 @t237 @t236 @t235 @t332 @t319 @t318 @t317 @t305 @t304 @t303 @t316 @t227 @t302 @t226)) % 0.44/0.67 (define @t334 () (forall @t44 (not @t43))) % 0.44/0.67 (define @t335 () (not @t334)) % 0.44/0.67 (define @t336 () (not (= @t47 @t47))) % 0.44/0.67 (define @t337 () (or @t260 @t259 @t258 @t257 @t256 @t255 (= @t47 @t52) @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t336 @t246)) % 0.44/0.67 (define @t338 () (not @t50)) % 0.44/0.67 (define @t339 () (not @t56)) % 0.44/0.67 (define @t340 () (not @t57)) % 0.44/0.67 (define @t341 () (not @t58)) % 0.44/0.67 (define @t342 () (= @t49 @t52)) % 0.44/0.67 (define @t343 () (or @t338 @t260 @t259 @t258 @t257 @t256 @t255 @t342 @t253 @t252 @t251 @t341 @t340 @t339 @t247 @t338 @t246)) % 0.44/0.67 (define @t344 () (@list @t49)) % 0.44/0.67 (define @t345 () (or @t260 @t259 @t258 @t257 @t256 @t255 @t342 @t253 @t252 @t251 @t341 @t340 @t339 @t247 @t338 @t246)) % 0.44/0.67 (define @t346 () (forall @t344 @t345)) % 0.44/0.67 (define @t347 () (forall @t262 @t346)) % 0.44/0.67 (define @t348 () (forall (@list @t51 @t46 @t52 @t47 @t49) @t345)) % 0.44/0.67 (define @t349 () (@list @t51 @t49 @t46 @t52 @t47)) % 0.44/0.67 (define @t350 () (not (= @t52 @t52))) % 0.44/0.67 (define @t351 () (or @t260 @t259 @t258 @t257 @t256 @t255 (= @t52 @t49) @t253 @t252 @t251 @t341 @t340 @t339 @t350 @t247 @t338 @t246)) % 0.44/0.67 (define @t352 () (not @t55)) % 0.44/0.67 (define @t353 () (not @t59)) % 0.44/0.67 (define @t354 () (not @t60)) % 0.44/0.67 (define @t355 () (not @t61)) % 0.44/0.67 (define @t356 () (or @t352 @t260 @t259 @t258 @t257 @t256 @t255 @t62 @t355 @t354 @t353 @t341 @t340 @t339 @t352 @t247 @t338 @t246)) % 0.44/0.67 (define @t357 () (@list @t54)) % 0.44/0.67 (define @t358 () (or @t260 @t259 @t258 @t257 @t256 @t255 @t62 @t355 @t354 @t353 @t341 @t340 @t339 @t352 @t247 @t338 @t246)) % 0.44/0.67 (define @t359 () (forall @t357 @t358)) % 0.44/0.67 (define @t360 () (forall @t349 @t359)) % 0.44/0.67 (define @t361 () (forall (@list @t51 @t49 @t46 @t52 @t47 @t54) @t358)) % 0.44/0.67 (define @t362 () (forall (@list @t51 @t54 @t49 @t46 @t52 @t47) @t358)) % 0.44/0.67 (define @t363 () (or @t279 @t362)) % 0.44/0.67 (define @t364 () (or @t278 @t358)) % 0.44/0.67 (define @t365 () (@list @t67 @t68 @t72 @t70 @t51 @t54 @t49 @t46 @t52 @t47)) % 0.44/0.67 (define @t366 () (or @t257 @t256 @t255 @t277 @t276 @t275 @t274 @t273 @t272 @t271 @t270 @t268 @t267 @t266 @t269 @t265 @t264 @t260 @t259 @t258 @t62 @t355 @t354 @t353 @t341 @t340 @t339 @t352 @t247 @t338 @t246)) % 0.44/0.67 (define @t367 () (forall @t365 @t366)) % 0.44/0.67 (define @t368 () (not @t63)) % 0.44/0.67 (define @t369 () (or @t257 @t256 @t255 @t277 @t276 @t275 @t274 @t273 @t272 @t271 @t270 @t268 @t267 @t266 @t269 @t265 @t264 @t260 @t259 @t258 @t368 @t355 @t354 @t353 @t341 @t340 @t339 @t352 @t247 @t338 @t246)) % 0.44/0.67 (define @t370 () (forall @t89 (not @t88))) % 0.44/0.67 (define @t371 () (not @t370)) % 0.44/0.67 (define @t372 () (not @t94)) % 0.44/0.67 (define @t373 () (not @t99)) % 0.44/0.67 (define @t374 () (not (tptp.young @t93))) % 0.44/0.67 (define @t375 () (not (tptp.man @t93))) % 0.44/0.67 (define @t376 () (not (tptp.fellow @t93))) % 0.44/0.67 (define @t377 () (not (tptp.young @t98))) % 0.44/0.67 (define @t378 () (not (tptp.man @t98))) % 0.44/0.67 (define @t379 () (not (tptp.fellow @t98))) % 0.44/0.67 (define @t380 () (= @t98 @t93)) % 0.44/0.67 (define @t381 () (not @t131)) % 0.44/0.67 (define @t382 () (not @t132)) % 0.44/0.67 (define @t383 () (not @t133)) % 0.44/0.67 (define @t384 () (not @t110)) % 0.44/0.67 (define @t385 () (not @t111)) % 0.44/0.67 (define @t386 () (not @t112)) % 0.44/0.67 (define @t387 () (or @t386 @t385 @t384 @t383 @t382 @t381 @t380 @t379 @t378 @t377 @t376 @t375 @t374 @t373 @t372)) % 0.44/0.67 (define @t388 () (not (= @t93 @t93))) % 0.44/0.67 (define @t389 () (or @t386 @t385 @t384 @t383 @t382 @t381 (= @t93 @t98) @t379 @t378 @t377 @t376 @t375 @t374 @t373 @t388 @t372)) % 0.44/0.67 (define @t390 () (@list @t97 @t92 @t98 @t93)) % 0.44/0.67 (define @t391 () (not @t96)) % 0.44/0.67 (define @t392 () (not @t102)) % 0.44/0.67 (define @t393 () (not @t103)) % 0.44/0.67 (define @t394 () (not @t104)) % 0.44/0.67 (define @t395 () (= @t95 @t98)) % 0.44/0.67 (define @t396 () (or @t391 @t386 @t385 @t384 @t383 @t382 @t381 @t395 @t379 @t378 @t377 @t394 @t393 @t392 @t373 @t391 @t372)) % 0.44/0.67 (define @t397 () (@list @t95)) % 0.44/0.67 (define @t398 () (or @t386 @t385 @t384 @t383 @t382 @t381 @t395 @t379 @t378 @t377 @t394 @t393 @t392 @t373 @t391 @t372)) % 0.44/0.67 (define @t399 () (forall @t397 @t398)) % 0.44/0.67 (define @t400 () (forall @t390 @t399)) % 0.44/0.67 (define @t401 () (forall (@list @t97 @t92 @t98 @t93 @t95) @t398)) % 0.44/0.67 (define @t402 () (@list @t97 @t95 @t92 @t98 @t93)) % 0.44/0.67 (define @t403 () (not (= @t98 @t98))) % 0.44/0.67 (define @t404 () (or @t386 @t385 @t384 @t383 @t382 @t381 (= @t98 @t95) @t379 @t378 @t377 @t394 @t393 @t392 @t403 @t373 @t391 @t372)) % 0.44/0.67 (define @t405 () (not @t101)) % 0.44/0.67 (define @t406 () (not @t105)) % 0.44/0.67 (define @t407 () (not @t106)) % 0.44/0.67 (define @t408 () (not @t107)) % 0.44/0.67 (define @t409 () (or @t405 @t386 @t385 @t384 @t383 @t382 @t381 @t108 @t408 @t407 @t406 @t394 @t393 @t392 @t405 @t373 @t391 @t372)) % 0.44/0.67 (define @t410 () (@list @t100)) % 0.44/0.67 (define @t411 () (or @t386 @t385 @t384 @t383 @t382 @t381 @t108 @t408 @t407 @t406 @t394 @t393 @t392 @t405 @t373 @t391 @t372)) % 0.44/0.67 (define @t412 () (forall @t410 @t411)) % 0.44/0.67 (define @t413 () (forall @t402 @t412)) % 0.44/0.67 (define @t414 () (forall (@list @t97 @t95 @t92 @t98 @t93 @t100) @t411)) % 0.44/0.67 (define @t415 () (forall (@list @t97 @t100 @t95 @t92 @t98 @t93) @t411)) % 0.44/0.67 (define @t416 () (not @t115)) % 0.44/0.67 (define @t417 () (not @t117)) % 0.44/0.67 (define @t418 () (not @t120)) % 0.44/0.67 (define @t419 () (not @t121)) % 0.44/0.67 (define @t420 () (not @t122)) % 0.44/0.67 (define @t421 () (not @t119)) % 0.44/0.67 (define @t422 () (not @t123)) % 0.44/0.67 (define @t423 () (not @t124)) % 0.44/0.67 (define @t424 () (not @t125)) % 0.44/0.67 (define @t425 () (not @t126)) % 0.44/0.67 (define @t426 () (not @t127)) % 0.44/0.67 (define @t427 () (not @t128)) % 0.44/0.67 (define @t428 () (not @t129)) % 0.44/0.67 (define @t429 () (not @t130)) % 0.44/0.67 (define @t430 () (or @t429 @t428 @t427 @t426 @t425 @t424 @t423 @t422 @t421 @t420 @t419 @t418 @t417 @t416)) % 0.44/0.67 (define @t431 () (forall (@list @t113 @t114 @t118 @t116) @t430)) % 0.44/0.67 (define @t432 () (or @t431 @t415)) % 0.44/0.67 (define @t433 () (or @t430 @t411)) % 0.44/0.67 (define @t434 () (@list @t113 @t114 @t118 @t116 @t97 @t100 @t95 @t92 @t98 @t93)) % 0.44/0.67 (define @t435 () (or @t383 @t382 @t381 @t429 @t428 @t427 @t426 @t425 @t424 @t423 @t422 @t420 @t419 @t418 @t421 @t417 @t416 @t386 @t385 @t384 @t108 @t408 @t407 @t406 @t394 @t393 @t392 @t405 @t373 @t391 @t372)) % 0.44/0.67 (define @t436 () (forall @t434 @t435)) % 0.44/0.67 (define @t437 () (not @t109)) % 0.44/0.67 (define @t438 () (or @t383 @t382 @t381 @t429 @t428 @t427 @t426 @t425 @t424 @t423 @t422 @t420 @t419 @t418 @t421 @t417 @t416 @t386 @t385 @t384 @t437 @t408 @t407 @t406 @t394 @t393 @t392 @t405 @t373 @t391 @t372)) % 0.44/0.67 (define @t439 () (forall @t135 (not @t134))) % 0.44/0.67 (define @t440 () (not @t439)) % 0.44/0.67 (define @t441 () (not (= @t138 @t138))) % 0.44/0.67 (define @t442 () (or @t199 @t198 @t197 @t196 @t195 @t194 (= @t138 @t143) @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t441 @t185)) % 0.44/0.67 (define @t443 () (not @t141)) % 0.44/0.67 (define @t444 () (not @t147)) % 0.44/0.67 (define @t445 () (not @t148)) % 0.44/0.67 (define @t446 () (not @t149)) % 0.44/0.67 (define @t447 () (= @t140 @t143)) % 0.44/0.67 (define @t448 () (or @t443 @t199 @t198 @t197 @t196 @t195 @t194 @t447 @t192 @t191 @t190 @t446 @t445 @t444 @t186 @t443 @t185)) % 0.44/0.67 (define @t449 () (@list @t140)) % 0.44/0.67 (define @t450 () (or @t199 @t198 @t197 @t196 @t195 @t194 @t447 @t192 @t191 @t190 @t446 @t445 @t444 @t186 @t443 @t185)) % 0.44/0.67 (define @t451 () (forall @t449 @t450)) % 0.44/0.67 (define @t452 () (forall @t201 @t451)) % 0.44/0.67 (define @t453 () (forall (@list @t137 @t142 @t143 @t138 @t140) @t450)) % 0.44/0.67 (define @t454 () (@list @t137 @t140 @t142 @t143 @t138)) % 0.44/0.67 (define @t455 () (not (= @t143 @t143))) % 0.44/0.67 (define @t456 () (or @t199 @t198 @t197 @t196 @t195 @t194 (= @t143 @t140) @t192 @t191 @t190 @t446 @t445 @t444 @t455 @t186 @t443 @t185)) % 0.44/0.67 (define @t457 () (not @t146)) % 0.44/0.67 (define @t458 () (not @t150)) % 0.44/0.67 (define @t459 () (not @t151)) % 0.44/0.67 (define @t460 () (not @t152)) % 0.44/0.67 (define @t461 () (or @t457 @t199 @t198 @t197 @t196 @t195 @t194 @t153 @t460 @t459 @t458 @t446 @t445 @t444 @t457 @t186 @t443 @t185)) % 0.44/0.67 (define @t462 () (@list @t145)) % 0.44/0.67 (define @t463 () (or @t199 @t198 @t197 @t196 @t195 @t194 @t153 @t460 @t459 @t458 @t446 @t445 @t444 @t457 @t186 @t443 @t185)) % 0.44/0.67 (define @t464 () (forall @t462 @t463)) % 0.44/0.67 (define @t465 () (forall @t454 @t464)) % 0.44/0.67 (define @t466 () (forall (@list @t137 @t140 @t142 @t143 @t138 @t145) @t463)) % 0.44/0.67 (define @t467 () (forall (@list @t137 @t145 @t140 @t142 @t143 @t138) @t463)) % 0.44/0.67 (define @t468 () (or @t467 @t298)) % 0.44/0.67 (define @t469 () (or @t463 @t297)) % 0.44/0.67 (define @t470 () (@list @t137 @t145 @t140 @t142 @t143 @t138 @t158 @t159 @t163 @t161)) % 0.44/0.67 (define @t471 () (or @t199 @t198 @t197 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t287 @t286 @t285 @t288 @t284 @t283 @t196 @t195 @t194 @t153 @t460 @t459 @t458 @t446 @t445 @t444 @t457 @t186 @t443 @t185)) % 0.44/0.67 (define @t472 () (forall @t470 @t471)) % 0.44/0.67 (define @t473 () (not @t154)) % 0.44/0.67 (define @t474 () (or @t199 @t198 @t197 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t287 @t286 @t285 @t288 @t284 @t283 @t196 @t195 @t194 @t473 @t460 @t459 @t458 @t446 @t445 @t444 @t457 @t186 @t443 @t185)) % 0.44/0.67 (define @t475 () (forall @t180 (not @t179))) % 0.44/0.67 (define @t476 () (not @t475)) % 0.44/0.67 (define @t477 () (forall @t390 @t387)) % 0.44/0.67 (define @t478 () (or @t431 @t477)) % 0.44/0.67 (define @t479 () (not @t478)) % 0.44/0.67 (define @t480 () (or @t202 @t298)) % 0.44/0.67 (define @t481 () (not @t480)) % 0.44/0.67 (define @t482 () (=> @t481 @t479)) % 0.44/0.67 (define @t483 () (@list false)) % 0.44/0.67 (define @t484 () (@list true)) % 0.44/0.67 (define @t485 () (not @t477)) % 0.44/0.67 (define @t486 () (@quantifiers_skolemize @t477 1)) % 0.44/0.67 (define @t487 () (@quantifiers_skolemize @t477 3)) % 0.44/0.67 (define @t488 () (@quantifiers_skolemize @t477 0)) % 0.44/0.67 (define @t489 () (@quantifiers_skolemize @t477 2)) % 0.44/0.67 (define @t490 () (or (not (tptp.seat @t486)) (not (tptp.furniture @t486)) (not (tptp.front @t486)) (not (tptp.seat @t488)) (not (tptp.furniture @t488)) (not (tptp.front @t488)) (= @t489 @t487) (not (tptp.fellow @t489)) (not (tptp.man @t489)) (not (tptp.young @t489)) (not (tptp.fellow @t487)) (not (tptp.man @t487)) (not (tptp.young @t487)) (not (tptp.in @t489 @t488)) (not (tptp.in @t487 @t486)))) % 0.44/0.67 (define @t491 () (not @t490)) % 0.44/0.67 (assume @p1 @t184) % 0.44/0.67 (assume @p2 true) % 0.44/0.67 (step @p3 :rule alpha_equiv :args (@t202 (@list @t143 @t138 @t137 @t142) (@list @t7 @t2 @t1 @t6))) % 0.44/0.67 (step @p4 :rule equiv_elim2 :premises (@p3)) % 0.44/0.67 (step @p5 :rule refl :args (@t208)) % 0.44/0.67 (step @p6 :rule bool-double-not-elim :args (@t202)) % 0.44/0.67 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or (not @t209) @t208))) % 0.44/0.67 (assume-push @p852 @t209) % 0.44/0.67 (step @p9 :rule skolemize :premises (@p852)) % 0.44/0.67 (step-pop @p853 :rule scope :premises (@p9)) % 0.44/0.67 (step @p10 :rule process_scope :premises (@p853) :args (@t208)) % 0.44/0.67 (step @p12 :rule implies_elim :premises (@p10)) % 0.44/0.67 (step @p13 :rule eq_resolve :premises (@p12 @p7)) % 0.44/0.67 (step @p14 :rule cnf_implies_neg1 :args (@t282)) % 0.44/0.67 (step @p15 :rule reordering :premises (@p14) :args ((or @t281 @t282))) % 0.44/0.67 (step @p16 :rule bool-double-not-elim :args (@t244)) % 0.44/0.67 (step @p17 :rule refl :args (@t282)) % 0.44/0.67 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t282 (not @t245)))) % 0.44/0.67 (step @p19 :rule cnf_implies_neg2 :args (@t282)) % 0.44/0.67 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.44/0.67 (step @p21 :rule reordering :premises (@p20) :args ((or @t244 @t282))) % 0.44/0.67 (step @p22 :rule cnf_or_neg :args (@t280 0)) % 0.44/0.67 (step @p23 :rule cnf_or_pos :args (@t244)) % 0.44/0.67 (step @p24 :rule reordering :premises (@p23) :args ((or @t225 @t243 @t245))) % 0.44/0.67 (step @p25 :rule alpha_equiv :args (@t298 @t299 (@list @t68 @t67 @t72 @t70))) % 0.44/0.67 (step @p26 :rule equiv_elim1 :premises (@p25)) % 0.44/0.67 (step @p27 :rule reordering :premises (@p26) :args ((or @t279 (not @t298)))) % 0.44/0.67 (step @p28 :rule alpha_equiv :args (@t298 @t299 (@list @t23 @t22 @t27 @t25))) % 0.44/0.67 (step @p29 :rule equiv_elim2 :premises (@p28)) % 0.44/0.67 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p24 @p22 @p21 @p15) :args ((or @t243 @t282) (@list true false true false true) (@list @t298 @t225 @t279 @t244 @t280))) % 0.44/0.67 (step @p31 :rule refl :args (@t225)) % 0.44/0.67 (step @p32 :rule aci_norm :args ((= (or @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t227 false @t226) @t241))) % 0.44/0.67 (step @p33 :rule refl :args (@t226)) % 0.44/0.67 (step @p34 :rule evaluate :args ((not true))) % 0.44/0.67 (step @p35 :rule eq-refl :args (@t2)) % 0.44/0.67 (step @p36 :rule cong :premises (@p35) :args (@t300)) % 0.44/0.67 (step @p37 :rule trans :premises (@p36 @p34)) % 0.44/0.67 (step @p38 :rule refl :args (@t227)) % 0.44/0.67 (step @p39 :rule refl :args (@t228)) % 0.44/0.67 (step @p40 :rule refl :args (@t229)) % 0.44/0.67 (step @p41 :rule refl :args (@t230)) % 0.44/0.67 (step @p42 :rule refl :args (@t231)) % 0.44/0.67 (step @p43 :rule refl :args (@t232)) % 0.44/0.67 (step @p44 :rule refl :args (@t233)) % 0.44/0.67 (step @p45 :rule eq-symm :args (@t2 @t7)) % 0.44/0.67 (step @p46 :rule refl :args (@t235)) % 0.44/0.67 (step @p47 :rule refl :args (@t236)) % 0.44/0.67 (step @p48 :rule refl :args (@t237)) % 0.44/0.67 (step @p49 :rule refl :args (@t238)) % 0.44/0.67 (step @p50 :rule refl :args (@t239)) % 0.44/0.67 (step @p51 :rule refl :args (@t240)) % 0.44/0.67 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p33) :args (@t301)) % 0.44/0.67 (step @p53 :rule trans :premises (@p52 @p32)) % 0.44/0.67 (step @p54 :rule cong :premises (@p53) :args ((forall @t242 @t301))) % 0.44/0.67 (step @p55 :rule quant-var-elim-eq :args ((= (forall @t308 @t307) @t301))) % 0.44/0.67 (step @p56 :rule aci_norm :args ((= @t309 @t307))) % 0.44/0.67 (step @p57 :rule cong :premises (@p56) :args (@t310)) % 0.44/0.67 (step @p58 :rule trans :premises (@p57 @p55)) % 0.44/0.67 (step @p59 :rule cong :premises (@p58) :args (@t311)) % 0.44/0.67 (step @p60 :rule quant-merge-prenex :args ((= @t311 @t312))) % 0.44/0.67 (step @p61 :rule symm :premises (@p60)) % 0.44/0.67 (step @p62 :rule quant_var_reordering :args ((= (forall @t313 @t309) @t312))) % 0.44/0.67 (step @p63 :rule trans :premises (@p62 @p61 @p59)) % 0.44/0.67 (step @p64 :rule trans :premises (@p63 @p54)) % 0.44/0.67 (step @p65 :rule aci_norm :args ((= (or @t240 @t239 @t238 @t237 @t236 @t235 @t306 @t233 @t232 @t231 @t305 @t304 @t303 false @t227 @t302 @t226) @t309))) % 0.44/0.67 (step @p66 :rule refl :args (@t302)) % 0.44/0.67 (step @p67 :rule eq-refl :args (@t7)) % 0.44/0.67 (step @p68 :rule cong :premises (@p67) :args (@t314)) % 0.44/0.67 (step @p69 :rule trans :premises (@p68 @p34)) % 0.44/0.67 (step @p70 :rule refl :args (@t303)) % 0.44/0.67 (step @p71 :rule refl :args (@t304)) % 0.44/0.67 (step @p72 :rule refl :args (@t305)) % 0.44/0.67 (step @p73 :rule eq-symm :args (@t7 @t4)) % 0.44/0.67 (step @p74 :rule nary_cong :premises (@p51 @p50 @p49 @p48 @p47 @p46 @p73 @p44 @p43 @p42 @p72 @p71 @p70 @p69 @p38 @p66 @p33) :args (@t315)) % 0.44/0.67 (step @p75 :rule trans :premises (@p74 @p65)) % 0.44/0.67 (step @p76 :rule cong :premises (@p75) :args ((forall @t313 @t315))) % 0.44/0.67 (step @p77 :rule trans :premises (@p76 @p64)) % 0.44/0.67 (step @p78 :rule quant-var-elim-eq :args ((= (forall @t321 @t320) @t315))) % 0.44/0.67 (step @p79 :rule aci_norm :args ((= @t322 @t320))) % 0.44/0.67 (step @p80 :rule cong :premises (@p79) :args (@t323)) % 0.44/0.67 (step @p81 :rule trans :premises (@p80 @p78)) % 0.44/0.67 (step @p82 :rule cong :premises (@p81) :args (@t324)) % 0.44/0.67 (step @p83 :rule quant-merge-prenex :args ((= @t324 @t325))) % 0.44/0.67 (step @p84 :rule symm :premises (@p83)) % 0.44/0.67 (step @p85 :rule quant_var_reordering :args ((= @t326 @t325))) % 0.44/0.67 (step @p86 :rule trans :premises (@p85 @p84 @p82)) % 0.44/0.67 (step @p87 :rule trans :premises (@p86 @p77)) % 0.44/0.67 (step @p88 :rule nary_cong :premises (@p87 @p31) :args (@t327)) % 0.44/0.67 (step @p89 :rule quant-miniscope-or :args ((= (forall @t329 @t328) @t327))) % 0.44/0.67 (step @p90 :rule aci_norm :args ((= @t330 @t328))) % 0.44/0.67 (step @p91 :rule cong :premises (@p90) :args (@t331)) % 0.44/0.67 (step @p92 :rule quant_var_reordering :args ((= (forall @t44 @t330) @t331))) % 0.44/0.67 (step @p93 :rule trans :premises (@p92 @p91 @p89)) % 0.44/0.67 (step @p94 :rule trans :premises (@p93 @p88)) % 0.44/0.67 (step @p95 :rule refl :args (@t226)) % 0.44/0.67 (step @p96 :rule refl :args (@t302)) % 0.44/0.67 (step @p97 :rule refl :args (@t227)) % 0.44/0.67 (step @p98 :rule refl :args (@t316)) % 0.44/0.67 (step @p99 :rule refl :args (@t303)) % 0.44/0.67 (step @p100 :rule refl :args (@t304)) % 0.44/0.67 (step @p101 :rule refl :args (@t305)) % 0.44/0.67 (step @p102 :rule refl :args (@t317)) % 0.44/0.67 (step @p103 :rule refl :args (@t318)) % 0.44/0.67 (step @p104 :rule refl :args (@t319)) % 0.44/0.67 (step @p105 :rule bool-double-not-elim :args (@t17)) % 0.44/0.67 (step @p106 :rule refl :args (@t235)) % 0.44/0.67 (step @p107 :rule refl :args (@t236)) % 0.44/0.67 (step @p108 :rule refl :args (@t237)) % 0.44/0.67 (step @p109 :rule refl :args (@t210)) % 0.44/0.67 (step @p110 :rule refl :args (@t211)) % 0.44/0.67 (step @p111 :rule refl :args (@t215)) % 0.44/0.67 (step @p112 :rule refl :args (@t212)) % 0.44/0.67 (step @p113 :rule refl :args (@t213)) % 0.44/0.67 (step @p114 :rule refl :args (@t214)) % 0.44/0.67 (step @p115 :rule refl :args (@t216)) % 0.44/0.67 (step @p116 :rule refl :args (@t217)) % 0.44/0.67 (step @p117 :rule refl :args (@t218)) % 0.44/0.67 (step @p118 :rule refl :args (@t219)) % 0.44/0.67 (step @p119 :rule refl :args (@t220)) % 0.44/0.67 (step @p120 :rule refl :args (@t221)) % 0.44/0.67 (step @p121 :rule refl :args (@t222)) % 0.44/0.67 (step @p122 :rule refl :args (@t223)) % 0.44/0.67 (step @p123 :rule refl :args (@t238)) % 0.44/0.67 (step @p124 :rule refl :args (@t239)) % 0.44/0.67 (step @p125 :rule refl :args (@t240)) % 0.44/0.67 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95) :args (@t333)) % 0.44/0.67 (step @p127 :rule aci_norm :args ((= (or @t240 (or @t239 (or @t238 (or @t223 (or @t222 (or @t221 (or @t220 (or @t219 (or @t218 (or @t217 (or @t216 (or @t214 (or @t213 (or @t212 (or @t215 (or @t211 (or @t210 (or @t237 (or @t236 (or @t235 (or @t332 (or @t319 (or @t318 (or @t317 (or @t305 (or @t304 (or @t303 (or @t316 (or @t227 (or @t302 @t226)))))))))))))))))))))))))))))) @t333))) % 0.44/0.67 (step @p128 :rule trans :premises (@p127 @p126)) % 0.44/0.67 (step @p129 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.44/0.67 (step @p130 :rule nary_cong :premises (@p97 @p129) :args ((or @t227 (not (and @t5 @t3))))) % 0.44/0.67 (step @p131 :rule bool-and-de-morgan :args (@t8 @t5 (and @t3))) % 0.44/0.67 (step @p132 :rule trans :premises (@p131 @p130)) % 0.44/0.67 (step @p133 :rule nary_cong :premises (@p98 @p132) :args ((or @t316 (not (and @t8 @t5 @t3))))) % 0.44/0.67 (step @p134 :rule bool-and-de-morgan :args (@t10 @t8 (and @t5 @t3))) % 0.44/0.67 (step @p135 :rule trans :premises (@p134 @p133)) % 0.44/0.67 (step @p136 :rule nary_cong :premises (@p99 @p135) :args ((or @t303 (not (and @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p137 :rule bool-and-de-morgan :args (@t11 @t10 (and @t8 @t5 @t3))) % 0.44/0.67 (step @p138 :rule trans :premises (@p137 @p136)) % 0.44/0.67 (step @p139 :rule nary_cong :premises (@p100 @p138) :args ((or @t304 (not (and @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p140 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p141 :rule trans :premises (@p140 @p139)) % 0.44/0.67 (step @p142 :rule nary_cong :premises (@p101 @p141) :args ((or @t305 (not (and @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p143 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p144 :rule trans :premises (@p143 @p142)) % 0.44/0.67 (step @p145 :rule nary_cong :premises (@p102 @p144) :args ((or @t317 (not (and @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p146 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p147 :rule trans :premises (@p146 @p145)) % 0.44/0.67 (step @p148 :rule nary_cong :premises (@p103 @p147) :args ((or @t318 (not (and @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p149 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p150 :rule trans :premises (@p149 @p148)) % 0.44/0.67 (step @p151 :rule nary_cong :premises (@p104 @p150) :args ((or @t319 (not (and @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p152 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p153 :rule trans :premises (@p152 @p151)) % 0.44/0.67 (step @p154 :rule refl :args (@t332)) % 0.44/0.67 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t332 (not (and @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p156 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p157 :rule trans :premises (@p156 @p155)) % 0.44/0.67 (step @p158 :rule nary_cong :premises (@p106 @p157) :args ((or @t235 (not (and @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p159 :rule bool-and-de-morgan :args (@t19 @t18 (and @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p160 :rule trans :premises (@p159 @p158)) % 0.44/0.67 (step @p161 :rule nary_cong :premises (@p107 @p160) :args ((or @t236 (not (and @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p162 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p163 :rule trans :premises (@p162 @p161)) % 0.44/0.67 (step @p164 :rule nary_cong :premises (@p108 @p163) :args ((or @t237 (not (and @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p165 :rule bool-and-de-morgan :args (@t21 @t20 (and @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p166 :rule trans :premises (@p165 @p164)) % 0.44/0.67 (step @p167 :rule nary_cong :premises (@p109 @p166) :args ((or @t210 (not (and @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p168 :rule bool-and-de-morgan :args (@t24 @t21 (and @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p169 :rule trans :premises (@p168 @p167)) % 0.44/0.67 (step @p170 :rule nary_cong :premises (@p110 @p169) :args ((or @t211 (not (and @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p171 :rule bool-and-de-morgan :args (@t26 @t24 (and @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p172 :rule trans :premises (@p171 @p170)) % 0.44/0.67 (step @p173 :rule nary_cong :premises (@p111 @p172) :args ((or @t215 (not (and @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p174 :rule bool-and-de-morgan :args (@t28 @t26 (and @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p175 :rule trans :premises (@p174 @p173)) % 0.44/0.67 (step @p176 :rule nary_cong :premises (@p112 @p175) :args ((or @t212 (not (and @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p177 :rule bool-and-de-morgan :args (@t29 @t28 (and @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p178 :rule trans :premises (@p177 @p176)) % 0.44/0.67 (step @p179 :rule nary_cong :premises (@p113 @p178) :args ((or @t213 (not (and @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p180 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p181 :rule trans :premises (@p180 @p179)) % 0.44/0.67 (step @p182 :rule nary_cong :premises (@p114 @p181) :args ((or @t214 (not (and @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p183 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p184 :rule trans :premises (@p183 @p182)) % 0.44/0.67 (step @p185 :rule nary_cong :premises (@p115 @p184) :args ((or @t216 (not (and @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p186 :rule bool-and-de-morgan :args (@t32 @t31 (and @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p187 :rule trans :premises (@p186 @p185)) % 0.44/0.67 (step @p188 :rule nary_cong :premises (@p116 @p187) :args ((or @t217 (not (and @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p189 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p190 :rule trans :premises (@p189 @p188)) % 0.44/0.67 (step @p191 :rule nary_cong :premises (@p117 @p190) :args ((or @t218 (not (and @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p192 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p193 :rule trans :premises (@p192 @p191)) % 0.44/0.67 (step @p194 :rule nary_cong :premises (@p118 @p193) :args ((or @t219 (not (and @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p195 :rule bool-and-de-morgan :args (@t35 @t34 (and @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p196 :rule trans :premises (@p195 @p194)) % 0.44/0.67 (step @p197 :rule nary_cong :premises (@p119 @p196) :args ((or @t220 (not (and @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p198 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p199 :rule trans :premises (@p198 @p197)) % 0.44/0.67 (step @p200 :rule nary_cong :premises (@p120 @p199) :args ((or @t221 (not (and @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p201 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p202 :rule trans :premises (@p201 @p200)) % 0.44/0.67 (step @p203 :rule nary_cong :premises (@p121 @p202) :args ((or @t222 (not (and @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p204 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p205 :rule trans :premises (@p204 @p203)) % 0.44/0.67 (step @p206 :rule nary_cong :premises (@p122 @p205) :args ((or @t223 (not (and @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p207 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p208 :rule trans :premises (@p207 @p206)) % 0.44/0.67 (step @p209 :rule nary_cong :premises (@p123 @p208) :args ((or @t238 (not (and @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p210 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p211 :rule trans :premises (@p210 @p209)) % 0.44/0.67 (step @p212 :rule nary_cong :premises (@p124 @p211) :args ((or @t239 (not (and @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p213 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p214 :rule trans :premises (@p213 @p212)) % 0.44/0.67 (step @p215 :rule nary_cong :premises (@p125 @p214) :args ((or @t240 (not (and @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p216 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24 @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p217 :rule trans :premises (@p216 @p215)) % 0.44/0.67 (step @p218 :rule trans :premises (@p217 @p128)) % 0.44/0.67 (step @p219 :rule cong :premises (@p218) :args (@t334)) % 0.44/0.67 (step @p220 :rule trans :premises (@p219 @p94)) % 0.44/0.67 (step @p221 :rule cong :premises (@p220) :args (@t335)) % 0.44/0.67 (step @p222 :rule exists-elim :args ((= @t45 @t335))) % 0.44/0.67 (step @p223 :rule trans :premises (@p222 @p221)) % 0.44/0.67 (step @p224 :rule aci_norm :args ((= (or @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249 @t248 @t247 false @t246) @t261))) % 0.44/0.67 (step @p225 :rule refl :args (@t246)) % 0.44/0.67 (step @p226 :rule eq-refl :args (@t47)) % 0.44/0.67 (step @p227 :rule cong :premises (@p226) :args (@t336)) % 0.44/0.67 (step @p228 :rule trans :premises (@p227 @p34)) % 0.44/0.67 (step @p229 :rule refl :args (@t247)) % 0.44/0.67 (step @p230 :rule refl :args (@t248)) % 0.44/0.67 (step @p231 :rule refl :args (@t249)) % 0.44/0.67 (step @p232 :rule refl :args (@t250)) % 0.44/0.67 (step @p233 :rule refl :args (@t251)) % 0.44/0.67 (step @p234 :rule refl :args (@t252)) % 0.44/0.67 (step @p235 :rule refl :args (@t253)) % 0.44/0.67 (step @p236 :rule eq-symm :args (@t47 @t52)) % 0.44/0.67 (step @p237 :rule refl :args (@t255)) % 0.44/0.67 (step @p238 :rule refl :args (@t256)) % 0.44/0.67 (step @p239 :rule refl :args (@t257)) % 0.44/0.67 (step @p240 :rule refl :args (@t258)) % 0.44/0.67 (step @p241 :rule refl :args (@t259)) % 0.44/0.67 (step @p242 :rule refl :args (@t260)) % 0.44/0.67 (step @p243 :rule nary_cong :premises (@p242 @p241 @p240 @p239 @p238 @p237 @p236 @p235 @p234 @p233 @p232 @p231 @p230 @p229 @p228 @p225) :args (@t337)) % 0.44/0.67 (step @p244 :rule trans :premises (@p243 @p224)) % 0.44/0.67 (step @p245 :rule cong :premises (@p244) :args ((forall @t262 @t337))) % 0.44/0.67 (step @p246 :rule quant-var-elim-eq :args ((= (forall @t344 @t343) @t337))) % 0.44/0.67 (step @p247 :rule aci_norm :args ((= @t345 @t343))) % 0.44/0.67 (step @p248 :rule cong :premises (@p247) :args (@t346)) % 0.44/0.67 (step @p249 :rule trans :premises (@p248 @p246)) % 0.44/0.67 (step @p250 :rule cong :premises (@p249) :args (@t347)) % 0.44/0.67 (step @p251 :rule quant-merge-prenex :args ((= @t347 @t348))) % 0.44/0.67 (step @p252 :rule symm :premises (@p251)) % 0.44/0.67 (step @p253 :rule quant_var_reordering :args ((= (forall @t349 @t345) @t348))) % 0.44/0.67 (step @p254 :rule trans :premises (@p253 @p252 @p250)) % 0.44/0.67 (step @p255 :rule trans :premises (@p254 @p245)) % 0.44/0.67 (step @p256 :rule aci_norm :args ((= (or @t260 @t259 @t258 @t257 @t256 @t255 @t342 @t253 @t252 @t251 @t341 @t340 @t339 false @t247 @t338 @t246) @t345))) % 0.44/0.67 (step @p257 :rule refl :args (@t338)) % 0.44/0.67 (step @p258 :rule eq-refl :args (@t52)) % 0.44/0.67 (step @p259 :rule cong :premises (@p258) :args (@t350)) % 0.44/0.67 (step @p260 :rule trans :premises (@p259 @p34)) % 0.44/0.67 (step @p261 :rule refl :args (@t339)) % 0.44/0.67 (step @p262 :rule refl :args (@t340)) % 0.44/0.67 (step @p263 :rule refl :args (@t341)) % 0.44/0.67 (step @p264 :rule eq-symm :args (@t52 @t49)) % 0.44/0.67 (step @p265 :rule nary_cong :premises (@p242 @p241 @p240 @p239 @p238 @p237 @p264 @p235 @p234 @p233 @p263 @p262 @p261 @p260 @p229 @p257 @p225) :args (@t351)) % 0.44/0.67 (step @p266 :rule trans :premises (@p265 @p256)) % 0.44/0.67 (step @p267 :rule cong :premises (@p266) :args ((forall @t349 @t351))) % 0.44/0.67 (step @p268 :rule trans :premises (@p267 @p255)) % 0.44/0.67 (step @p269 :rule quant-var-elim-eq :args ((= (forall @t357 @t356) @t351))) % 0.44/0.67 (step @p270 :rule aci_norm :args ((= @t358 @t356))) % 0.44/0.67 (step @p271 :rule cong :premises (@p270) :args (@t359)) % 0.44/0.67 (step @p272 :rule trans :premises (@p271 @p269)) % 0.44/0.67 (step @p273 :rule cong :premises (@p272) :args (@t360)) % 0.44/0.67 (step @p274 :rule quant-merge-prenex :args ((= @t360 @t361))) % 0.44/0.67 (step @p275 :rule symm :premises (@p274)) % 0.44/0.67 (step @p276 :rule quant_var_reordering :args ((= @t362 @t361))) % 0.44/0.67 (step @p277 :rule trans :premises (@p276 @p275 @p273)) % 0.44/0.67 (step @p278 :rule trans :premises (@p277 @p268)) % 0.44/0.67 (step @p279 :rule refl :args (@t279)) % 0.44/0.67 (step @p280 :rule nary_cong :premises (@p279 @p278) :args (@t363)) % 0.44/0.67 (step @p281 :rule quant-miniscope-or :args ((= (forall @t365 @t364) @t363))) % 0.44/0.67 (step @p282 :rule aci_norm :args ((= @t366 @t364))) % 0.44/0.67 (step @p283 :rule cong :premises (@p282) :args (@t367)) % 0.44/0.67 (step @p284 :rule quant_var_reordering :args ((= (forall @t89 @t366) @t367))) % 0.44/0.67 (step @p285 :rule trans :premises (@p284 @p283 @p281)) % 0.44/0.67 (step @p286 :rule trans :premises (@p285 @p280)) % 0.44/0.67 (step @p287 :rule refl :args (@t246)) % 0.44/0.67 (step @p288 :rule refl :args (@t338)) % 0.44/0.67 (step @p289 :rule refl :args (@t247)) % 0.44/0.67 (step @p290 :rule refl :args (@t352)) % 0.44/0.67 (step @p291 :rule refl :args (@t339)) % 0.44/0.67 (step @p292 :rule refl :args (@t340)) % 0.44/0.67 (step @p293 :rule refl :args (@t341)) % 0.44/0.67 (step @p294 :rule refl :args (@t353)) % 0.44/0.67 (step @p295 :rule refl :args (@t354)) % 0.44/0.67 (step @p296 :rule refl :args (@t355)) % 0.44/0.67 (step @p297 :rule bool-double-not-elim :args (@t62)) % 0.44/0.67 (step @p298 :rule refl :args (@t258)) % 0.44/0.67 (step @p299 :rule refl :args (@t259)) % 0.44/0.67 (step @p300 :rule refl :args (@t260)) % 0.44/0.67 (step @p301 :rule refl :args (@t264)) % 0.44/0.67 (step @p302 :rule refl :args (@t265)) % 0.44/0.67 (step @p303 :rule refl :args (@t269)) % 0.44/0.67 (step @p304 :rule refl :args (@t266)) % 0.44/0.67 (step @p305 :rule refl :args (@t267)) % 0.44/0.67 (step @p306 :rule refl :args (@t268)) % 0.44/0.67 (step @p307 :rule refl :args (@t270)) % 0.44/0.67 (step @p308 :rule refl :args (@t271)) % 0.44/0.67 (step @p309 :rule refl :args (@t272)) % 0.44/0.67 (step @p310 :rule refl :args (@t273)) % 0.44/0.67 (step @p311 :rule refl :args (@t274)) % 0.44/0.67 (step @p312 :rule refl :args (@t275)) % 0.44/0.67 (step @p313 :rule refl :args (@t276)) % 0.44/0.67 (step @p314 :rule refl :args (@t277)) % 0.44/0.67 (step @p315 :rule refl :args (@t255)) % 0.44/0.67 (step @p316 :rule refl :args (@t256)) % 0.44/0.67 (step @p317 :rule refl :args (@t257)) % 0.44/0.67 (step @p318 :rule nary_cong :premises (@p317 @p316 @p315 @p314 @p313 @p312 @p311 @p310 @p309 @p308 @p307 @p306 @p305 @p304 @p303 @p302 @p301 @p300 @p299 @p298 @p297 @p296 @p295 @p294 @p293 @p292 @p291 @p290 @p289 @p288 @p287) :args (@t369)) % 0.44/0.67 (step @p319 :rule aci_norm :args ((= (or @t257 (or @t256 (or @t255 (or @t277 (or @t276 (or @t275 (or @t274 (or @t273 (or @t272 (or @t271 (or @t270 (or @t268 (or @t267 (or @t266 (or @t269 (or @t265 (or @t264 (or @t260 (or @t259 (or @t258 (or @t368 (or @t355 (or @t354 (or @t353 (or @t341 (or @t340 (or @t339 (or @t352 (or @t247 (or @t338 @t246)))))))))))))))))))))))))))))) @t369))) % 0.44/0.67 (step @p320 :rule trans :premises (@p319 @p318)) % 0.44/0.67 (step @p321 :rule bool-and-de-morgan :args (@t50 @t48 true)) % 0.44/0.67 (step @p322 :rule nary_cong :premises (@p289 @p321) :args ((or @t247 (not (and @t50 @t48))))) % 0.44/0.67 (step @p323 :rule bool-and-de-morgan :args (@t53 @t50 (and @t48))) % 0.44/0.67 (step @p324 :rule trans :premises (@p323 @p322)) % 0.44/0.67 (step @p325 :rule nary_cong :premises (@p290 @p324) :args ((or @t352 (not (and @t53 @t50 @t48))))) % 0.44/0.67 (step @p326 :rule bool-and-de-morgan :args (@t55 @t53 (and @t50 @t48))) % 0.44/0.67 (step @p327 :rule trans :premises (@p326 @p325)) % 0.44/0.67 (step @p328 :rule nary_cong :premises (@p291 @p327) :args ((or @t339 (not (and @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p329 :rule bool-and-de-morgan :args (@t56 @t55 (and @t53 @t50 @t48))) % 0.44/0.67 (step @p330 :rule trans :premises (@p329 @p328)) % 0.44/0.67 (step @p331 :rule nary_cong :premises (@p292 @p330) :args ((or @t340 (not (and @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p332 :rule bool-and-de-morgan :args (@t57 @t56 (and @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p333 :rule trans :premises (@p332 @p331)) % 0.44/0.67 (step @p334 :rule nary_cong :premises (@p293 @p333) :args ((or @t341 (not (and @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p335 :rule bool-and-de-morgan :args (@t58 @t57 (and @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p336 :rule trans :premises (@p335 @p334)) % 0.44/0.67 (step @p337 :rule nary_cong :premises (@p294 @p336) :args ((or @t353 (not (and @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p338 :rule bool-and-de-morgan :args (@t59 @t58 (and @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p339 :rule trans :premises (@p338 @p337)) % 0.44/0.67 (step @p340 :rule nary_cong :premises (@p295 @p339) :args ((or @t354 (not (and @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p341 :rule bool-and-de-morgan :args (@t60 @t59 (and @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p342 :rule trans :premises (@p341 @p340)) % 0.44/0.67 (step @p343 :rule nary_cong :premises (@p296 @p342) :args ((or @t355 (not (and @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p344 :rule bool-and-de-morgan :args (@t61 @t60 (and @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p345 :rule trans :premises (@p344 @p343)) % 0.44/0.67 (step @p346 :rule refl :args (@t368)) % 0.44/0.67 (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or @t368 (not (and @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p348 :rule bool-and-de-morgan :args (@t63 @t61 (and @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p349 :rule trans :premises (@p348 @p347)) % 0.44/0.67 (step @p350 :rule nary_cong :premises (@p298 @p349) :args ((or @t258 (not (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p351 :rule bool-and-de-morgan :args (@t64 @t63 (and @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p352 :rule trans :premises (@p351 @p350)) % 0.44/0.67 (step @p353 :rule nary_cong :premises (@p299 @p352) :args ((or @t259 (not (and @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p354 :rule bool-and-de-morgan :args (@t65 @t64 (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p355 :rule trans :premises (@p354 @p353)) % 0.44/0.67 (step @p356 :rule nary_cong :premises (@p300 @p355) :args ((or @t260 (not (and @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p357 :rule bool-and-de-morgan :args (@t66 @t65 (and @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p358 :rule trans :premises (@p357 @p356)) % 0.44/0.67 (step @p359 :rule nary_cong :premises (@p301 @p358) :args ((or @t264 (not (and @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p360 :rule bool-and-de-morgan :args (@t69 @t66 (and @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p361 :rule trans :premises (@p360 @p359)) % 0.44/0.67 (step @p362 :rule nary_cong :premises (@p302 @p361) :args ((or @t265 (not (and @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p363 :rule bool-and-de-morgan :args (@t71 @t69 (and @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p364 :rule trans :premises (@p363 @p362)) % 0.44/0.67 (step @p365 :rule nary_cong :premises (@p303 @p364) :args ((or @t269 (not (and @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p366 :rule bool-and-de-morgan :args (@t73 @t71 (and @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p367 :rule trans :premises (@p366 @p365)) % 0.44/0.67 (step @p368 :rule nary_cong :premises (@p304 @p367) :args ((or @t266 (not (and @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p369 :rule bool-and-de-morgan :args (@t74 @t73 (and @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p370 :rule trans :premises (@p369 @p368)) % 0.44/0.67 (step @p371 :rule nary_cong :premises (@p305 @p370) :args ((or @t267 (not (and @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p372 :rule bool-and-de-morgan :args (@t75 @t74 (and @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p373 :rule trans :premises (@p372 @p371)) % 0.44/0.67 (step @p374 :rule nary_cong :premises (@p306 @p373) :args ((or @t268 (not (and @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p375 :rule bool-and-de-morgan :args (@t76 @t75 (and @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p376 :rule trans :premises (@p375 @p374)) % 0.44/0.67 (step @p377 :rule nary_cong :premises (@p307 @p376) :args ((or @t270 (not (and @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p378 :rule bool-and-de-morgan :args (@t77 @t76 (and @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p379 :rule trans :premises (@p378 @p377)) % 0.44/0.67 (step @p380 :rule nary_cong :premises (@p308 @p379) :args ((or @t271 (not (and @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p381 :rule bool-and-de-morgan :args (@t78 @t77 (and @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p382 :rule trans :premises (@p381 @p380)) % 0.44/0.67 (step @p383 :rule nary_cong :premises (@p309 @p382) :args ((or @t272 (not (and @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p384 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p385 :rule trans :premises (@p384 @p383)) % 0.44/0.67 (step @p386 :rule nary_cong :premises (@p310 @p385) :args ((or @t273 (not (and @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p387 :rule bool-and-de-morgan :args (@t80 @t79 (and @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p388 :rule trans :premises (@p387 @p386)) % 0.44/0.67 (step @p389 :rule nary_cong :premises (@p311 @p388) :args ((or @t274 (not (and @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p390 :rule bool-and-de-morgan :args (@t81 @t80 (and @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p391 :rule trans :premises (@p390 @p389)) % 0.44/0.67 (step @p392 :rule nary_cong :premises (@p312 @p391) :args ((or @t275 (not (and @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p393 :rule bool-and-de-morgan :args (@t82 @t81 (and @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p394 :rule trans :premises (@p393 @p392)) % 0.44/0.67 (step @p395 :rule nary_cong :premises (@p313 @p394) :args ((or @t276 (not (and @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p396 :rule bool-and-de-morgan :args (@t83 @t82 (and @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p397 :rule trans :premises (@p396 @p395)) % 0.44/0.67 (step @p398 :rule nary_cong :premises (@p314 @p397) :args ((or @t277 (not (and @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p399 :rule bool-and-de-morgan :args (@t84 @t83 (and @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p400 :rule trans :premises (@p399 @p398)) % 0.44/0.67 (step @p401 :rule nary_cong :premises (@p315 @p400) :args ((or @t255 (not (and @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p402 :rule bool-and-de-morgan :args (@t85 @t84 (and @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p403 :rule trans :premises (@p402 @p401)) % 0.44/0.67 (step @p404 :rule nary_cong :premises (@p316 @p403) :args ((or @t256 (not (and @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p405 :rule bool-and-de-morgan :args (@t86 @t85 (and @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p406 :rule trans :premises (@p405 @p404)) % 0.44/0.67 (step @p407 :rule nary_cong :premises (@p317 @p406) :args ((or @t257 (not (and @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p408 :rule bool-and-de-morgan :args (@t87 @t86 (and @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t71 @t69 @t66 @t65 @t64 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p409 :rule trans :premises (@p408 @p407)) % 0.44/0.67 (step @p410 :rule trans :premises (@p409 @p320)) % 0.44/0.67 (step @p411 :rule cong :premises (@p410) :args (@t370)) % 0.44/0.67 (step @p412 :rule trans :premises (@p411 @p286)) % 0.44/0.67 (step @p413 :rule cong :premises (@p412) :args (@t371)) % 0.44/0.67 (step @p414 :rule exists-elim :args ((= @t90 @t371))) % 0.44/0.67 (step @p415 :rule trans :premises (@p414 @p413)) % 0.44/0.67 (step @p416 :rule cong :premises (@p415 @p223) :args (@t91)) % 0.44/0.67 (step @p417 :rule aci_norm :args ((= (or @t386 @t385 @t384 @t383 @t382 @t381 @t380 @t379 @t378 @t377 @t376 @t375 @t374 @t373 false @t372) @t387))) % 0.44/0.67 (step @p418 :rule refl :args (@t372)) % 0.44/0.67 (step @p419 :rule eq-refl :args (@t93)) % 0.44/0.67 (step @p420 :rule cong :premises (@p419) :args (@t388)) % 0.44/0.67 (step @p421 :rule trans :premises (@p420 @p34)) % 0.44/0.67 (step @p422 :rule refl :args (@t373)) % 0.44/0.67 (step @p423 :rule refl :args (@t374)) % 0.44/0.67 (step @p424 :rule refl :args (@t375)) % 0.44/0.67 (step @p425 :rule refl :args (@t376)) % 0.44/0.67 (step @p426 :rule refl :args (@t377)) % 0.44/0.67 (step @p427 :rule refl :args (@t378)) % 0.44/0.67 (step @p428 :rule refl :args (@t379)) % 0.44/0.67 (step @p429 :rule eq-symm :args (@t93 @t98)) % 0.44/0.67 (step @p430 :rule refl :args (@t381)) % 0.44/0.67 (step @p431 :rule refl :args (@t382)) % 0.44/0.67 (step @p432 :rule refl :args (@t383)) % 0.44/0.67 (step @p433 :rule refl :args (@t384)) % 0.44/0.67 (step @p434 :rule refl :args (@t385)) % 0.44/0.67 (step @p435 :rule refl :args (@t386)) % 0.44/0.67 (step @p436 :rule nary_cong :premises (@p435 @p434 @p433 @p432 @p431 @p430 @p429 @p428 @p427 @p426 @p425 @p424 @p423 @p422 @p421 @p418) :args (@t389)) % 0.44/0.67 (step @p437 :rule trans :premises (@p436 @p417)) % 0.44/0.67 (step @p438 :rule cong :premises (@p437) :args ((forall @t390 @t389))) % 0.44/0.67 (step @p439 :rule quant-var-elim-eq :args ((= (forall @t397 @t396) @t389))) % 0.44/0.67 (step @p440 :rule aci_norm :args ((= @t398 @t396))) % 0.44/0.67 (step @p441 :rule cong :premises (@p440) :args (@t399)) % 0.44/0.67 (step @p442 :rule trans :premises (@p441 @p439)) % 0.44/0.67 (step @p443 :rule cong :premises (@p442) :args (@t400)) % 0.44/0.67 (step @p444 :rule quant-merge-prenex :args ((= @t400 @t401))) % 0.44/0.67 (step @p445 :rule symm :premises (@p444)) % 0.44/0.67 (step @p446 :rule quant_var_reordering :args ((= (forall @t402 @t398) @t401))) % 0.44/0.67 (step @p447 :rule trans :premises (@p446 @p445 @p443)) % 0.44/0.67 (step @p448 :rule trans :premises (@p447 @p438)) % 0.44/0.67 (step @p449 :rule aci_norm :args ((= (or @t386 @t385 @t384 @t383 @t382 @t381 @t395 @t379 @t378 @t377 @t394 @t393 @t392 false @t373 @t391 @t372) @t398))) % 0.44/0.67 (step @p450 :rule refl :args (@t391)) % 0.44/0.67 (step @p451 :rule eq-refl :args (@t98)) % 0.44/0.67 (step @p452 :rule cong :premises (@p451) :args (@t403)) % 0.44/0.67 (step @p453 :rule trans :premises (@p452 @p34)) % 0.44/0.67 (step @p454 :rule refl :args (@t392)) % 0.44/0.67 (step @p455 :rule refl :args (@t393)) % 0.44/0.67 (step @p456 :rule refl :args (@t394)) % 0.44/0.67 (step @p457 :rule eq-symm :args (@t98 @t95)) % 0.44/0.67 (step @p458 :rule nary_cong :premises (@p435 @p434 @p433 @p432 @p431 @p430 @p457 @p428 @p427 @p426 @p456 @p455 @p454 @p453 @p422 @p450 @p418) :args (@t404)) % 0.44/0.67 (step @p459 :rule trans :premises (@p458 @p449)) % 0.44/0.67 (step @p460 :rule cong :premises (@p459) :args ((forall @t402 @t404))) % 0.44/0.67 (step @p461 :rule trans :premises (@p460 @p448)) % 0.44/0.67 (step @p462 :rule quant-var-elim-eq :args ((= (forall @t410 @t409) @t404))) % 0.44/0.67 (step @p463 :rule aci_norm :args ((= @t411 @t409))) % 0.44/0.67 (step @p464 :rule cong :premises (@p463) :args (@t412)) % 0.44/0.67 (step @p465 :rule trans :premises (@p464 @p462)) % 0.44/0.67 (step @p466 :rule cong :premises (@p465) :args (@t413)) % 0.44/0.67 (step @p467 :rule quant-merge-prenex :args ((= @t413 @t414))) % 0.44/0.67 (step @p468 :rule symm :premises (@p467)) % 0.44/0.67 (step @p469 :rule quant_var_reordering :args ((= @t415 @t414))) % 0.44/0.67 (step @p470 :rule trans :premises (@p469 @p468 @p466)) % 0.44/0.67 (step @p471 :rule trans :premises (@p470 @p461)) % 0.44/0.67 (step @p472 :rule refl :args (@t431)) % 0.44/0.67 (step @p473 :rule nary_cong :premises (@p472 @p471) :args (@t432)) % 0.44/0.67 (step @p474 :rule quant-miniscope-or :args ((= (forall @t434 @t433) @t432))) % 0.44/0.67 (step @p475 :rule aci_norm :args ((= @t435 @t433))) % 0.44/0.67 (step @p476 :rule cong :premises (@p475) :args (@t436)) % 0.44/0.67 (step @p477 :rule quant_var_reordering :args ((= (forall @t135 @t435) @t436))) % 0.44/0.67 (step @p478 :rule trans :premises (@p477 @p476 @p474)) % 0.44/0.67 (step @p479 :rule trans :premises (@p478 @p473)) % 0.44/0.67 (step @p480 :rule refl :args (@t372)) % 0.44/0.67 (step @p481 :rule refl :args (@t391)) % 0.44/0.67 (step @p482 :rule refl :args (@t373)) % 0.44/0.67 (step @p483 :rule refl :args (@t405)) % 0.44/0.67 (step @p484 :rule refl :args (@t392)) % 0.44/0.67 (step @p485 :rule refl :args (@t393)) % 0.44/0.67 (step @p486 :rule refl :args (@t394)) % 0.44/0.67 (step @p487 :rule refl :args (@t406)) % 0.44/0.67 (step @p488 :rule refl :args (@t407)) % 0.44/0.67 (step @p489 :rule refl :args (@t408)) % 0.44/0.67 (step @p490 :rule bool-double-not-elim :args (@t108)) % 0.44/0.67 (step @p491 :rule refl :args (@t384)) % 0.44/0.67 (step @p492 :rule refl :args (@t385)) % 0.44/0.67 (step @p493 :rule refl :args (@t386)) % 0.44/0.67 (step @p494 :rule refl :args (@t416)) % 0.44/0.67 (step @p495 :rule refl :args (@t417)) % 0.44/0.67 (step @p496 :rule refl :args (@t421)) % 0.44/0.67 (step @p497 :rule refl :args (@t418)) % 0.44/0.67 (step @p498 :rule refl :args (@t419)) % 0.44/0.67 (step @p499 :rule refl :args (@t420)) % 0.44/0.67 (step @p500 :rule refl :args (@t422)) % 0.44/0.67 (step @p501 :rule refl :args (@t423)) % 0.44/0.67 (step @p502 :rule refl :args (@t424)) % 0.44/0.67 (step @p503 :rule refl :args (@t425)) % 0.44/0.67 (step @p504 :rule refl :args (@t426)) % 0.44/0.67 (step @p505 :rule refl :args (@t427)) % 0.44/0.67 (step @p506 :rule refl :args (@t428)) % 0.44/0.67 (step @p507 :rule refl :args (@t429)) % 0.44/0.67 (step @p508 :rule refl :args (@t381)) % 0.44/0.67 (step @p509 :rule refl :args (@t382)) % 0.44/0.67 (step @p510 :rule refl :args (@t383)) % 0.44/0.67 (step @p511 :rule nary_cong :premises (@p510 @p509 @p508 @p507 @p506 @p505 @p504 @p503 @p502 @p501 @p500 @p499 @p498 @p497 @p496 @p495 @p494 @p493 @p492 @p491 @p490 @p489 @p488 @p487 @p486 @p485 @p484 @p483 @p482 @p481 @p480) :args (@t438)) % 0.44/0.67 (step @p512 :rule aci_norm :args ((= (or @t383 (or @t382 (or @t381 (or @t429 (or @t428 (or @t427 (or @t426 (or @t425 (or @t424 (or @t423 (or @t422 (or @t420 (or @t419 (or @t418 (or @t421 (or @t417 (or @t416 (or @t386 (or @t385 (or @t384 (or @t437 (or @t408 (or @t407 (or @t406 (or @t394 (or @t393 (or @t392 (or @t405 (or @t373 (or @t391 @t372)))))))))))))))))))))))))))))) @t438))) % 0.44/0.67 (step @p513 :rule trans :premises (@p512 @p511)) % 0.44/0.67 (step @p514 :rule bool-and-de-morgan :args (@t96 @t94 true)) % 0.44/0.67 (step @p515 :rule nary_cong :premises (@p482 @p514) :args ((or @t373 (not (and @t96 @t94))))) % 0.44/0.67 (step @p516 :rule bool-and-de-morgan :args (@t99 @t96 (and @t94))) % 0.44/0.67 (step @p517 :rule trans :premises (@p516 @p515)) % 0.44/0.67 (step @p518 :rule nary_cong :premises (@p483 @p517) :args ((or @t405 (not (and @t99 @t96 @t94))))) % 0.44/0.67 (step @p519 :rule bool-and-de-morgan :args (@t101 @t99 (and @t96 @t94))) % 0.44/0.67 (step @p520 :rule trans :premises (@p519 @p518)) % 0.44/0.67 (step @p521 :rule nary_cong :premises (@p484 @p520) :args ((or @t392 (not (and @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p522 :rule bool-and-de-morgan :args (@t102 @t101 (and @t99 @t96 @t94))) % 0.44/0.67 (step @p523 :rule trans :premises (@p522 @p521)) % 0.44/0.67 (step @p524 :rule nary_cong :premises (@p485 @p523) :args ((or @t393 (not (and @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p525 :rule bool-and-de-morgan :args (@t103 @t102 (and @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p526 :rule trans :premises (@p525 @p524)) % 0.44/0.67 (step @p527 :rule nary_cong :premises (@p486 @p526) :args ((or @t394 (not (and @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p528 :rule bool-and-de-morgan :args (@t104 @t103 (and @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p529 :rule trans :premises (@p528 @p527)) % 0.44/0.67 (step @p530 :rule nary_cong :premises (@p487 @p529) :args ((or @t406 (not (and @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p531 :rule bool-and-de-morgan :args (@t105 @t104 (and @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p532 :rule trans :premises (@p531 @p530)) % 0.44/0.67 (step @p533 :rule nary_cong :premises (@p488 @p532) :args ((or @t407 (not (and @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p534 :rule bool-and-de-morgan :args (@t106 @t105 (and @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p535 :rule trans :premises (@p534 @p533)) % 0.44/0.67 (step @p536 :rule nary_cong :premises (@p489 @p535) :args ((or @t408 (not (and @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p537 :rule bool-and-de-morgan :args (@t107 @t106 (and @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p538 :rule trans :premises (@p537 @p536)) % 0.44/0.67 (step @p539 :rule refl :args (@t437)) % 0.44/0.67 (step @p540 :rule nary_cong :premises (@p539 @p538) :args ((or @t437 (not (and @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p541 :rule bool-and-de-morgan :args (@t109 @t107 (and @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p542 :rule trans :premises (@p541 @p540)) % 0.44/0.67 (step @p543 :rule nary_cong :premises (@p491 @p542) :args ((or @t384 (not (and @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p544 :rule bool-and-de-morgan :args (@t110 @t109 (and @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p545 :rule trans :premises (@p544 @p543)) % 0.44/0.67 (step @p546 :rule nary_cong :premises (@p492 @p545) :args ((or @t385 (not (and @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p547 :rule bool-and-de-morgan :args (@t111 @t110 (and @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p548 :rule trans :premises (@p547 @p546)) % 0.44/0.67 (step @p549 :rule nary_cong :premises (@p493 @p548) :args ((or @t386 (not (and @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p550 :rule bool-and-de-morgan :args (@t112 @t111 (and @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p551 :rule trans :premises (@p550 @p549)) % 0.44/0.67 (step @p552 :rule nary_cong :premises (@p494 @p551) :args ((or @t416 (not (and @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p553 :rule bool-and-de-morgan :args (@t115 @t112 (and @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p554 :rule trans :premises (@p553 @p552)) % 0.44/0.67 (step @p555 :rule nary_cong :premises (@p495 @p554) :args ((or @t417 (not (and @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p556 :rule bool-and-de-morgan :args (@t117 @t115 (and @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p557 :rule trans :premises (@p556 @p555)) % 0.44/0.67 (step @p558 :rule nary_cong :premises (@p496 @p557) :args ((or @t421 (not (and @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p559 :rule bool-and-de-morgan :args (@t119 @t117 (and @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p560 :rule trans :premises (@p559 @p558)) % 0.44/0.67 (step @p561 :rule nary_cong :premises (@p497 @p560) :args ((or @t418 (not (and @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p562 :rule bool-and-de-morgan :args (@t120 @t119 (and @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p563 :rule trans :premises (@p562 @p561)) % 0.44/0.67 (step @p564 :rule nary_cong :premises (@p498 @p563) :args ((or @t419 (not (and @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p565 :rule bool-and-de-morgan :args (@t121 @t120 (and @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p566 :rule trans :premises (@p565 @p564)) % 0.44/0.67 (step @p567 :rule nary_cong :premises (@p499 @p566) :args ((or @t420 (not (and @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p568 :rule bool-and-de-morgan :args (@t122 @t121 (and @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p569 :rule trans :premises (@p568 @p567)) % 0.44/0.67 (step @p570 :rule nary_cong :premises (@p500 @p569) :args ((or @t422 (not (and @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p571 :rule bool-and-de-morgan :args (@t123 @t122 (and @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p572 :rule trans :premises (@p571 @p570)) % 0.44/0.67 (step @p573 :rule nary_cong :premises (@p501 @p572) :args ((or @t423 (not (and @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p574 :rule bool-and-de-morgan :args (@t124 @t123 (and @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p575 :rule trans :premises (@p574 @p573)) % 0.44/0.67 (step @p576 :rule nary_cong :premises (@p502 @p575) :args ((or @t424 (not (and @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p577 :rule bool-and-de-morgan :args (@t125 @t124 (and @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p578 :rule trans :premises (@p577 @p576)) % 0.44/0.67 (step @p579 :rule nary_cong :premises (@p503 @p578) :args ((or @t425 (not (and @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p580 :rule bool-and-de-morgan :args (@t126 @t125 (and @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p581 :rule trans :premises (@p580 @p579)) % 0.44/0.67 (step @p582 :rule nary_cong :premises (@p504 @p581) :args ((or @t426 (not (and @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p583 :rule bool-and-de-morgan :args (@t127 @t126 (and @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p584 :rule trans :premises (@p583 @p582)) % 0.44/0.67 (step @p585 :rule nary_cong :premises (@p505 @p584) :args ((or @t427 (not (and @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p586 :rule bool-and-de-morgan :args (@t128 @t127 (and @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p587 :rule trans :premises (@p586 @p585)) % 0.44/0.67 (step @p588 :rule nary_cong :premises (@p506 @p587) :args ((or @t428 (not (and @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p589 :rule bool-and-de-morgan :args (@t129 @t128 (and @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p590 :rule trans :premises (@p589 @p588)) % 0.44/0.67 (step @p591 :rule nary_cong :premises (@p507 @p590) :args ((or @t429 (not (and @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p592 :rule bool-and-de-morgan :args (@t130 @t129 (and @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p593 :rule trans :premises (@p592 @p591)) % 0.44/0.67 (step @p594 :rule nary_cong :premises (@p508 @p593) :args ((or @t381 (not (and @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p595 :rule bool-and-de-morgan :args (@t131 @t130 (and @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p596 :rule trans :premises (@p595 @p594)) % 0.44/0.67 (step @p597 :rule nary_cong :premises (@p509 @p596) :args ((or @t382 (not (and @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p598 :rule bool-and-de-morgan :args (@t132 @t131 (and @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p599 :rule trans :premises (@p598 @p597)) % 0.44/0.67 (step @p600 :rule nary_cong :premises (@p510 @p599) :args ((or @t383 (not (and @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p601 :rule bool-and-de-morgan :args (@t133 @t132 (and @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p602 :rule trans :premises (@p601 @p600)) % 0.44/0.67 (step @p603 :rule trans :premises (@p602 @p513)) % 0.44/0.67 (step @p604 :rule cong :premises (@p603) :args (@t439)) % 0.44/0.67 (step @p605 :rule trans :premises (@p604 @p479)) % 0.44/0.67 (step @p606 :rule cong :premises (@p605) :args (@t440)) % 0.44/0.67 (step @p607 :rule exists-elim :args ((= @t136 @t440))) % 0.44/0.67 (step @p608 :rule trans :premises (@p607 @p606)) % 0.44/0.67 (step @p609 :rule refl :args (@t298)) % 0.44/0.67 (step @p610 :rule aci_norm :args ((= (or @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 false @t185) @t200))) % 0.44/0.67 (step @p611 :rule refl :args (@t185)) % 0.44/0.67 (step @p612 :rule eq-refl :args (@t138)) % 0.44/0.67 (step @p613 :rule cong :premises (@p612) :args (@t441)) % 0.44/0.67 (step @p614 :rule trans :premises (@p613 @p34)) % 0.44/0.67 (step @p615 :rule refl :args (@t186)) % 0.44/0.67 (step @p616 :rule refl :args (@t187)) % 0.44/0.67 (step @p617 :rule refl :args (@t188)) % 0.44/0.67 (step @p618 :rule refl :args (@t189)) % 0.44/0.67 (step @p619 :rule refl :args (@t190)) % 0.44/0.67 (step @p620 :rule refl :args (@t191)) % 0.44/0.67 (step @p621 :rule refl :args (@t192)) % 0.44/0.67 (step @p622 :rule eq-symm :args (@t138 @t143)) % 0.44/0.67 (step @p623 :rule refl :args (@t194)) % 0.44/0.67 (step @p624 :rule refl :args (@t195)) % 0.44/0.67 (step @p625 :rule refl :args (@t196)) % 0.44/0.67 (step @p626 :rule refl :args (@t197)) % 0.44/0.67 (step @p627 :rule refl :args (@t198)) % 0.44/0.67 (step @p628 :rule refl :args (@t199)) % 0.44/0.67 (step @p629 :rule nary_cong :premises (@p628 @p627 @p626 @p625 @p624 @p623 @p622 @p621 @p620 @p619 @p618 @p617 @p616 @p615 @p614 @p611) :args (@t442)) % 0.44/0.67 (step @p630 :rule trans :premises (@p629 @p610)) % 0.44/0.67 (step @p631 :rule cong :premises (@p630) :args ((forall @t201 @t442))) % 0.44/0.67 (step @p632 :rule quant-var-elim-eq :args ((= (forall @t449 @t448) @t442))) % 0.44/0.67 (step @p633 :rule aci_norm :args ((= @t450 @t448))) % 0.44/0.67 (step @p634 :rule cong :premises (@p633) :args (@t451)) % 0.44/0.67 (step @p635 :rule trans :premises (@p634 @p632)) % 0.44/0.67 (step @p636 :rule cong :premises (@p635) :args (@t452)) % 0.44/0.67 (step @p637 :rule quant-merge-prenex :args ((= @t452 @t453))) % 0.44/0.67 (step @p638 :rule symm :premises (@p637)) % 0.44/0.67 (step @p639 :rule quant_var_reordering :args ((= (forall @t454 @t450) @t453))) % 0.44/0.67 (step @p640 :rule trans :premises (@p639 @p638 @p636)) % 0.44/0.67 (step @p641 :rule trans :premises (@p640 @p631)) % 0.44/0.67 (step @p642 :rule aci_norm :args ((= (or @t199 @t198 @t197 @t196 @t195 @t194 @t447 @t192 @t191 @t190 @t446 @t445 @t444 false @t186 @t443 @t185) @t450))) % 0.44/0.67 (step @p643 :rule refl :args (@t443)) % 0.44/0.67 (step @p644 :rule eq-refl :args (@t143)) % 0.44/0.67 (step @p645 :rule cong :premises (@p644) :args (@t455)) % 0.44/0.67 (step @p646 :rule trans :premises (@p645 @p34)) % 0.44/0.67 (step @p647 :rule refl :args (@t444)) % 0.44/0.67 (step @p648 :rule refl :args (@t445)) % 0.44/0.67 (step @p649 :rule refl :args (@t446)) % 0.44/0.67 (step @p650 :rule eq-symm :args (@t143 @t140)) % 0.44/0.67 (step @p651 :rule nary_cong :premises (@p628 @p627 @p626 @p625 @p624 @p623 @p650 @p621 @p620 @p619 @p649 @p648 @p647 @p646 @p615 @p643 @p611) :args (@t456)) % 0.44/0.67 (step @p652 :rule trans :premises (@p651 @p642)) % 0.44/0.67 (step @p653 :rule cong :premises (@p652) :args ((forall @t454 @t456))) % 0.44/0.67 (step @p654 :rule trans :premises (@p653 @p641)) % 0.44/0.67 (step @p655 :rule quant-var-elim-eq :args ((= (forall @t462 @t461) @t456))) % 0.44/0.67 (step @p656 :rule aci_norm :args ((= @t463 @t461))) % 0.44/0.67 (step @p657 :rule cong :premises (@p656) :args (@t464)) % 0.44/0.67 (step @p658 :rule trans :premises (@p657 @p655)) % 0.44/0.67 (step @p659 :rule cong :premises (@p658) :args (@t465)) % 0.44/0.67 (step @p660 :rule quant-merge-prenex :args ((= @t465 @t466))) % 0.44/0.67 (step @p661 :rule symm :premises (@p660)) % 0.44/0.67 (step @p662 :rule quant_var_reordering :args ((= @t467 @t466))) % 0.44/0.67 (step @p663 :rule trans :premises (@p662 @p661 @p659)) % 0.44/0.67 (step @p664 :rule trans :premises (@p663 @p654)) % 0.44/0.67 (step @p665 :rule nary_cong :premises (@p664 @p609) :args (@t468)) % 0.44/0.67 (step @p666 :rule quant-miniscope-or :args ((= (forall @t470 @t469) @t468))) % 0.44/0.67 (step @p667 :rule aci_norm :args ((= @t471 @t469))) % 0.44/0.67 (step @p668 :rule cong :premises (@p667) :args (@t472)) % 0.44/0.67 (step @p669 :rule quant_var_reordering :args ((= (forall @t180 @t471) @t472))) % 0.44/0.67 (step @p670 :rule trans :premises (@p669 @p668 @p666)) % 0.44/0.67 (step @p671 :rule trans :premises (@p670 @p665)) % 0.44/0.67 (step @p672 :rule refl :args (@t185)) % 0.44/0.67 (step @p673 :rule refl :args (@t443)) % 0.44/0.67 (step @p674 :rule refl :args (@t186)) % 0.44/0.67 (step @p675 :rule refl :args (@t457)) % 0.44/0.67 (step @p676 :rule refl :args (@t444)) % 0.44/0.67 (step @p677 :rule refl :args (@t445)) % 0.44/0.67 (step @p678 :rule refl :args (@t446)) % 0.44/0.67 (step @p679 :rule refl :args (@t458)) % 0.44/0.67 (step @p680 :rule refl :args (@t459)) % 0.44/0.67 (step @p681 :rule refl :args (@t460)) % 0.44/0.67 (step @p682 :rule bool-double-not-elim :args (@t153)) % 0.44/0.67 (step @p683 :rule refl :args (@t194)) % 0.44/0.67 (step @p684 :rule refl :args (@t195)) % 0.44/0.67 (step @p685 :rule refl :args (@t196)) % 0.44/0.67 (step @p686 :rule refl :args (@t283)) % 0.44/0.67 (step @p687 :rule refl :args (@t284)) % 0.44/0.67 (step @p688 :rule refl :args (@t288)) % 0.44/0.67 (step @p689 :rule refl :args (@t285)) % 0.44/0.67 (step @p690 :rule refl :args (@t286)) % 0.44/0.67 (step @p691 :rule refl :args (@t287)) % 0.44/0.67 (step @p692 :rule refl :args (@t289)) % 0.44/0.67 (step @p693 :rule refl :args (@t290)) % 0.44/0.67 (step @p694 :rule refl :args (@t291)) % 0.44/0.67 (step @p695 :rule refl :args (@t292)) % 0.44/0.67 (step @p696 :rule refl :args (@t293)) % 0.44/0.67 (step @p697 :rule refl :args (@t294)) % 0.44/0.67 (step @p698 :rule refl :args (@t295)) % 0.44/0.67 (step @p699 :rule refl :args (@t296)) % 0.44/0.67 (step @p700 :rule refl :args (@t197)) % 0.44/0.67 (step @p701 :rule refl :args (@t198)) % 0.44/0.67 (step @p702 :rule refl :args (@t199)) % 0.44/0.67 (step @p703 :rule nary_cong :premises (@p702 @p701 @p700 @p699 @p698 @p697 @p696 @p695 @p694 @p693 @p692 @p691 @p690 @p689 @p688 @p687 @p686 @p685 @p684 @p683 @p682 @p681 @p680 @p679 @p678 @p677 @p676 @p675 @p674 @p673 @p672) :args (@t474)) % 0.44/0.67 (step @p704 :rule aci_norm :args ((= (or @t199 (or @t198 (or @t197 (or @t296 (or @t295 (or @t294 (or @t293 (or @t292 (or @t291 (or @t290 (or @t289 (or @t287 (or @t286 (or @t285 (or @t288 (or @t284 (or @t283 (or @t196 (or @t195 (or @t194 (or @t473 (or @t460 (or @t459 (or @t458 (or @t446 (or @t445 (or @t444 (or @t457 (or @t186 (or @t443 @t185)))))))))))))))))))))))))))))) @t474))) % 0.44/0.67 (step @p705 :rule trans :premises (@p704 @p703)) % 0.44/0.67 (step @p706 :rule bool-and-de-morgan :args (@t141 @t139 true)) % 0.44/0.67 (step @p707 :rule nary_cong :premises (@p674 @p706) :args ((or @t186 (not (and @t141 @t139))))) % 0.44/0.67 (step @p708 :rule bool-and-de-morgan :args (@t144 @t141 (and @t139))) % 0.44/0.67 (step @p709 :rule trans :premises (@p708 @p707)) % 0.44/0.67 (step @p710 :rule nary_cong :premises (@p675 @p709) :args ((or @t457 (not (and @t144 @t141 @t139))))) % 0.44/0.67 (step @p711 :rule bool-and-de-morgan :args (@t146 @t144 (and @t141 @t139))) % 0.44/0.67 (step @p712 :rule trans :premises (@p711 @p710)) % 0.44/0.67 (step @p713 :rule nary_cong :premises (@p676 @p712) :args ((or @t444 (not (and @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p714 :rule bool-and-de-morgan :args (@t147 @t146 (and @t144 @t141 @t139))) % 0.44/0.67 (step @p715 :rule trans :premises (@p714 @p713)) % 0.44/0.67 (step @p716 :rule nary_cong :premises (@p677 @p715) :args ((or @t445 (not (and @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p717 :rule bool-and-de-morgan :args (@t148 @t147 (and @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p718 :rule trans :premises (@p717 @p716)) % 0.44/0.67 (step @p719 :rule nary_cong :premises (@p678 @p718) :args ((or @t446 (not (and @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p720 :rule bool-and-de-morgan :args (@t149 @t148 (and @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p721 :rule trans :premises (@p720 @p719)) % 0.44/0.67 (step @p722 :rule nary_cong :premises (@p679 @p721) :args ((or @t458 (not (and @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p723 :rule bool-and-de-morgan :args (@t150 @t149 (and @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p724 :rule trans :premises (@p723 @p722)) % 0.44/0.67 (step @p725 :rule nary_cong :premises (@p680 @p724) :args ((or @t459 (not (and @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p726 :rule bool-and-de-morgan :args (@t151 @t150 (and @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p727 :rule trans :premises (@p726 @p725)) % 0.44/0.67 (step @p728 :rule nary_cong :premises (@p681 @p727) :args ((or @t460 (not (and @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p729 :rule bool-and-de-morgan :args (@t152 @t151 (and @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p730 :rule trans :premises (@p729 @p728)) % 0.44/0.67 (step @p731 :rule refl :args (@t473)) % 0.44/0.67 (step @p732 :rule nary_cong :premises (@p731 @p730) :args ((or @t473 (not (and @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p733 :rule bool-and-de-morgan :args (@t154 @t152 (and @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p734 :rule trans :premises (@p733 @p732)) % 0.44/0.67 (step @p735 :rule nary_cong :premises (@p683 @p734) :args ((or @t194 (not (and @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p736 :rule bool-and-de-morgan :args (@t155 @t154 (and @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p737 :rule trans :premises (@p736 @p735)) % 0.44/0.67 (step @p738 :rule nary_cong :premises (@p684 @p737) :args ((or @t195 (not (and @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p739 :rule bool-and-de-morgan :args (@t156 @t155 (and @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p740 :rule trans :premises (@p739 @p738)) % 0.44/0.67 (step @p741 :rule nary_cong :premises (@p685 @p740) :args ((or @t196 (not (and @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p742 :rule bool-and-de-morgan :args (@t157 @t156 (and @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p743 :rule trans :premises (@p742 @p741)) % 0.44/0.67 (step @p744 :rule nary_cong :premises (@p686 @p743) :args ((or @t283 (not (and @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p745 :rule bool-and-de-morgan :args (@t160 @t157 (and @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p746 :rule trans :premises (@p745 @p744)) % 0.44/0.67 (step @p747 :rule nary_cong :premises (@p687 @p746) :args ((or @t284 (not (and @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p748 :rule bool-and-de-morgan :args (@t162 @t160 (and @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p749 :rule trans :premises (@p748 @p747)) % 0.44/0.67 (step @p750 :rule nary_cong :premises (@p688 @p749) :args ((or @t288 (not (and @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p751 :rule bool-and-de-morgan :args (@t164 @t162 (and @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p752 :rule trans :premises (@p751 @p750)) % 0.44/0.67 (step @p753 :rule nary_cong :premises (@p689 @p752) :args ((or @t285 (not (and @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p754 :rule bool-and-de-morgan :args (@t165 @t164 (and @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p755 :rule trans :premises (@p754 @p753)) % 0.44/0.67 (step @p756 :rule nary_cong :premises (@p690 @p755) :args ((or @t286 (not (and @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p757 :rule bool-and-de-morgan :args (@t166 @t165 (and @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p758 :rule trans :premises (@p757 @p756)) % 0.44/0.67 (step @p759 :rule nary_cong :premises (@p691 @p758) :args ((or @t287 (not (and @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p760 :rule bool-and-de-morgan :args (@t167 @t166 (and @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p761 :rule trans :premises (@p760 @p759)) % 0.44/0.67 (step @p762 :rule nary_cong :premises (@p692 @p761) :args ((or @t289 (not (and @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p763 :rule bool-and-de-morgan :args (@t168 @t167 (and @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p764 :rule trans :premises (@p763 @p762)) % 0.44/0.67 (step @p765 :rule nary_cong :premises (@p693 @p764) :args ((or @t290 (not (and @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p766 :rule bool-and-de-morgan :args (@t169 @t168 (and @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p767 :rule trans :premises (@p766 @p765)) % 0.44/0.67 (step @p768 :rule nary_cong :premises (@p694 @p767) :args ((or @t291 (not (and @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p769 :rule bool-and-de-morgan :args (@t170 @t169 (and @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p770 :rule trans :premises (@p769 @p768)) % 0.44/0.67 (step @p771 :rule nary_cong :premises (@p695 @p770) :args ((or @t292 (not (and @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p772 :rule bool-and-de-morgan :args (@t171 @t170 (and @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p773 :rule trans :premises (@p772 @p771)) % 0.44/0.67 (step @p774 :rule nary_cong :premises (@p696 @p773) :args ((or @t293 (not (and @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p775 :rule bool-and-de-morgan :args (@t172 @t171 (and @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p776 :rule trans :premises (@p775 @p774)) % 0.44/0.67 (step @p777 :rule nary_cong :premises (@p697 @p776) :args ((or @t294 (not (and @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p778 :rule bool-and-de-morgan :args (@t173 @t172 (and @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p779 :rule trans :premises (@p778 @p777)) % 0.44/0.67 (step @p780 :rule nary_cong :premises (@p698 @p779) :args ((or @t295 (not (and @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p781 :rule bool-and-de-morgan :args (@t174 @t173 (and @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p782 :rule trans :premises (@p781 @p780)) % 0.44/0.67 (step @p783 :rule nary_cong :premises (@p699 @p782) :args ((or @t296 (not (and @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p784 :rule bool-and-de-morgan :args (@t175 @t174 (and @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p785 :rule trans :premises (@p784 @p783)) % 0.44/0.67 (step @p786 :rule nary_cong :premises (@p700 @p785) :args ((or @t197 (not (and @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p787 :rule bool-and-de-morgan :args (@t176 @t175 (and @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p788 :rule trans :premises (@p787 @p786)) % 0.44/0.67 (step @p789 :rule nary_cong :premises (@p701 @p788) :args ((or @t198 (not (and @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p790 :rule bool-and-de-morgan :args (@t177 @t176 (and @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p791 :rule trans :premises (@p790 @p789)) % 0.44/0.67 (step @p792 :rule nary_cong :premises (@p702 @p791) :args ((or @t199 (not (and @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p793 :rule bool-and-de-morgan :args (@t178 @t177 (and @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162 @t160 @t157 @t156 @t155 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p794 :rule trans :premises (@p793 @p792)) % 0.44/0.67 (step @p795 :rule trans :premises (@p794 @p705)) % 0.44/0.67 (step @p796 :rule cong :premises (@p795) :args (@t475)) % 0.44/0.67 (step @p797 :rule trans :premises (@p796 @p671)) % 0.44/0.67 (step @p798 :rule cong :premises (@p797) :args (@t476)) % 0.44/0.67 (step @p799 :rule exists-elim :args ((= @t181 @t476))) % 0.44/0.67 (step @p800 :rule trans :premises (@p799 @p798)) % 0.44/0.67 (step @p801 :rule cong :premises (@p800 @p608) :args (@t182)) % 0.44/0.67 (step @p802 :rule nary_cong :premises (@p801 @p416) :args (@t183)) % 0.44/0.67 (step @p803 :rule cong :premises (@p802) :args (@t184)) % 0.44/0.67 (step @p804 :rule eq_resolve :premises (@p1 @p803)) % 0.44/0.67 (step @p805 :rule not_and :premises (@p804)) % 0.44/0.67 (step @p806 :rule cnf_implies_neg1 :args (@t482)) % 0.44/0.67 (step @p807 :rule reordering :premises (@p806) :args ((or @t481 @t482))) % 0.44/0.67 (step @p808 :rule bool-double-not-elim :args (@t478)) % 0.44/0.67 (step @p809 :rule refl :args (@t482)) % 0.44/0.67 (step @p810 :rule nary_cong :premises (@p809 @p808) :args ((or @t482 (not @t479)))) % 0.44/0.67 (step @p811 :rule cnf_implies_neg2 :args (@t482)) % 0.44/0.67 (step @p812 :rule eq_resolve :premises (@p811 @p810)) % 0.44/0.67 (step @p813 :rule reordering :premises (@p812) :args ((or @t478 @t482))) % 0.44/0.67 (step @p814 :rule cnf_or_neg :args (@t480 1)) % 0.44/0.67 (step @p815 :rule alpha_equiv :args (@t298 @t299 (@list @t114 @t113 @t118 @t116))) % 0.44/0.67 (step @p816 :rule equiv_elim2 :premises (@p815)) % 0.44/0.67 (step @p817 :rule cnf_or_pos :args (@t478)) % 0.44/0.67 (step @p818 :rule reordering :premises (@p817) :args ((or @t431 @t477 @t479))) % 0.44/0.67 (assume-push @p854 @t477) % 0.44/0.67 (step @p820 :rule instantiate :premises (@p854) :args ((@list @t205 @t203 @t206 @t204))) % 0.44/0.67 (step-pop @p855 :rule scope :premises (@p820)) % 0.44/0.67 (step @p821 :rule process_scope :premises (@p855) :args (@t207)) % 0.44/0.67 (step @p823 :rule implies_elim :premises (@p821)) % 0.44/0.67 (step @p824 :rule chain_m_resolution :premises (@p823 @p818 @p816 @p814 @p813 @p807 @p805 @p30 @p13 @p4) :args (@t202 (@list false true true false true true false true true) (@list @t477 @t431 @t298 @t478 @t480 @t482 @t282 @t207 @t243))) % 0.44/0.67 (step @p825 :rule cnf_or_neg :args (@t480 0)) % 0.44/0.67 (step @p826 :rule chain_m_resolution :premises (@p825 @p824) :args (@t480 @t483 (@list @t202))) % 0.44/0.67 (step @p827 :rule chain_m_resolution :premises (@p807 @p826) :args (@t482 @t483 (@list @t480))) % 0.44/0.67 (step @p828 :rule chain_m_resolution :premises (@p805 @p827) :args ((not @t282) @t483 (@list @t482))) % 0.44/0.67 (step @p829 :rule chain_m_resolution :premises (@p15 @p828) :args (@t281 @t484 (@list @t282))) % 0.44/0.67 (step @p830 :rule cnf_or_neg :args (@t280 1)) % 0.44/0.67 (step @p831 :rule chain_m_resolution :premises (@p830 @p829) :args ((not @t263) @t484 (@list @t280))) % 0.44/0.67 (step @p832 :rule alpha_equiv :args (@t477 (@list @t98 @t93 @t97 @t92) (@list @t52 @t47 @t51 @t46))) % 0.44/0.67 (step @p833 :rule equiv_elim1 :premises (@p832)) % 0.44/0.67 (step @p834 :rule reordering :premises (@p833) :args ((or @t263 @t485))) % 0.44/0.67 (step @p835 :rule chain_m_resolution :premises (@p834 @p831) :args (@t485 @t484 (@list @t263))) % 0.44/0.67 (step @p836 :rule refl :args (@t491)) % 0.44/0.67 (step @p837 :rule bool-double-not-elim :args (@t477)) % 0.44/0.67 (step @p838 :rule nary_cong :premises (@p837 @p836) :args ((or (not @t485) @t491))) % 0.44/0.67 (assume-push @p856 @t485) % 0.44/0.67 (step @p840 :rule skolemize :premises (@p856)) % 0.44/0.67 (step-pop @p857 :rule scope :premises (@p840)) % 0.44/0.67 (step @p841 :rule process_scope :premises (@p857) :args (@t491)) % 0.44/0.67 (step @p843 :rule implies_elim :premises (@p841)) % 0.44/0.67 (step @p844 :rule eq_resolve :premises (@p843 @p838)) % 0.44/0.67 (step @p845 :rule chain_m_resolution :premises (@p844 @p835) :args (@t491 @t484 (@list @t477))) % 0.44/0.67 (assume-push @p858 @t202) % 0.44/0.67 (step @p847 :rule instantiate :premises (@p858) :args ((@list @t486 @t488 @t489 @t487))) % 0.44/0.67 (step-pop @p859 :rule scope :premises (@p847)) % 0.44/0.67 (step @p848 :rule process_scope :premises (@p859) :args (@t490)) % 0.44/0.67 (step @p850 :rule implies_elim :premises (@p848)) % 0.44/0.67 (step @p851 false :rule chain_m_resolution :premises (@p850 @p845 @p824) :args (false (@list true false) (@list @t490 @t202))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------