%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN055+2 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:42:50 AM UTC 2026 % Result : Theorem 0.37s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN055+2 : TPTP v9.2.1. Released v7.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 12:38:00 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.63 % SZS status Theorem % 0.37/0.63 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort $$unsorted 0) % 0.37/0.63 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.37/0.63 (define @t1 () (@var "Y24" $$unsorted)) % 0.37/0.63 (define @t2 () (@var "X19" $$unsorted)) % 0.37/0.63 (define @t3 () (= @t2 @t1)) % 0.37/0.63 (define @t4 () (tptp.r1 @t2)) % 0.37/0.63 (define @t5 () (and @t4 @t3)) % 0.37/0.63 (define @t6 () (not @t3)) % 0.37/0.63 (define @t7 () (not @t4)) % 0.37/0.63 (define @t8 () (and @t7 @t6)) % 0.37/0.63 (define @t9 () (or @t8 @t5)) % 0.37/0.63 (define @t10 () (@list @t2)) % 0.37/0.63 (define @t11 () (forall @t10 @t9)) % 0.37/0.63 (define @t12 () (@list @t1)) % 0.37/0.63 (define @t13 () (exists @t12 @t11)) % 0.37/0.63 (define @t14 () (@var "Y21" $$unsorted)) % 0.37/0.63 (define @t15 () (@var "X12" $$unsorted)) % 0.37/0.63 (define @t16 () (= @t15 @t14)) % 0.37/0.63 (define @t17 () (@var "X11" $$unsorted)) % 0.37/0.63 (define @t18 () (tptp.r2 @t17 @t15)) % 0.37/0.63 (define @t19 () (and @t18 @t16)) % 0.37/0.63 (define @t20 () (not @t16)) % 0.37/0.63 (define @t21 () (not @t18)) % 0.37/0.63 (define @t22 () (and @t21 @t20)) % 0.37/0.63 (define @t23 () (or @t22 @t19)) % 0.37/0.63 (define @t24 () (@list @t15)) % 0.37/0.63 (define @t25 () (forall @t24 @t23)) % 0.37/0.63 (define @t26 () (@list @t14)) % 0.37/0.63 (define @t27 () (exists @t26 @t25)) % 0.37/0.63 (define @t28 () (forall (@list @t17) @t27)) % 0.37/0.63 (define @t29 () (@var "Y22" $$unsorted)) % 0.37/0.63 (define @t30 () (@var "X15" $$unsorted)) % 0.37/0.63 (define @t31 () (= @t30 @t29)) % 0.37/0.63 (define @t32 () (@var "X14" $$unsorted)) % 0.37/0.63 (define @t33 () (@var "X13" $$unsorted)) % 0.37/0.63 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 0.37/0.63 (define @t35 () (and @t34 @t31)) % 0.37/0.63 (define @t36 () (not @t31)) % 0.37/0.63 (define @t37 () (not @t34)) % 0.37/0.63 (define @t38 () (and @t37 @t36)) % 0.37/0.63 (define @t39 () (or @t38 @t35)) % 0.37/0.63 (define @t40 () (@list @t30)) % 0.37/0.63 (define @t41 () (forall @t40 @t39)) % 0.37/0.63 (define @t42 () (@list @t29)) % 0.37/0.63 (define @t43 () (exists @t42 @t41)) % 0.37/0.63 (define @t44 () (forall (@list @t33 @t32) @t43)) % 0.37/0.63 (define @t45 () (@var "Y23" $$unsorted)) % 0.37/0.63 (define @t46 () (@var "X18" $$unsorted)) % 0.37/0.63 (define @t47 () (= @t46 @t45)) % 0.37/0.63 (define @t48 () (@var "X17" $$unsorted)) % 0.44/0.63 (define @t49 () (@var "X16" $$unsorted)) % 0.44/0.63 (define @t50 () (tptp.r4 @t49 @t48 @t46)) % 0.44/0.63 (define @t51 () (@var "Y7" $$unsorted)) % 0.44/0.63 (define @t52 () (@var "X8" $$unsorted)) % 0.44/0.63 (define @t53 () (@var "X1" $$unsorted)) % 0.44/0.63 (define @t54 () (tptp.r3 @t53 @t52 @t51)) % 0.44/0.63 (define @t55 () (@var "Y4" $$unsorted)) % 0.44/0.63 (define @t56 () (tptp.r2 @t51 @t55)) % 0.44/0.63 (define @t57 () (and @t56 @t54)) % 0.44/0.63 (define @t58 () (@list @t51)) % 0.44/0.63 (define @t59 () (exists @t58 @t57)) % 0.44/0.63 (define @t60 () (@var "Y5" $$unsorted)) % 0.44/0.63 (define @t61 () (= @t60 @t55)) % 0.44/0.63 (define @t62 () (@var "Y15" $$unsorted)) % 0.44/0.63 (define @t63 () (tptp.r3 @t53 @t62 @t60)) % 0.44/0.63 (define @t64 () (tptp.r2 @t52 @t62)) % 0.44/0.63 (define @t65 () (and @t64 @t63)) % 0.44/0.63 (define @t66 () (@list @t62)) % 0.44/0.63 (define @t67 () (exists @t66 @t65)) % 0.44/0.63 (define @t68 () (and @t67 @t61)) % 0.44/0.63 (define @t69 () (@list @t60)) % 0.44/0.63 (define @t70 () (exists @t69 @t68)) % 0.44/0.63 (define @t71 () (and @t70 @t59)) % 0.44/0.63 (define @t72 () (@list @t55)) % 0.44/0.63 (define @t73 () (exists @t72 @t71)) % 0.44/0.63 (define @t74 () (forall (@list @t53 @t52) @t73)) % 0.44/0.63 (define @t75 () (@var "Y6" $$unsorted)) % 0.44/0.63 (define @t76 () (@var "X9" $$unsorted)) % 0.44/0.63 (define @t77 () (@var "X2" $$unsorted)) % 0.44/0.63 (define @t78 () (@var "Y2" $$unsorted)) % 0.44/0.63 (define @t79 () (@list @t75)) % 0.44/0.63 (define @t80 () (@var "Y3" $$unsorted)) % 0.44/0.63 (define @t81 () (@var "Y14" $$unsorted)) % 0.44/0.63 (define @t82 () (@list @t80)) % 0.44/0.63 (define @t83 () (@list @t78)) % 0.44/0.63 (define @t84 () (@var "X10" $$unsorted)) % 0.44/0.63 (define @t85 () (@var "X3" $$unsorted)) % 0.44/0.63 (define @t86 () (@var "Y12" $$unsorted)) % 0.44/0.63 (define @t87 () (@var "Y13" $$unsorted)) % 0.44/0.63 (define @t88 () (@var "X4" $$unsorted)) % 0.44/0.63 (define @t89 () (@var "Y9" $$unsorted)) % 0.44/0.63 (define @t90 () (= @t89 @t88)) % 0.44/0.63 (define @t91 () (@var "Y16" $$unsorted)) % 0.44/0.63 (define @t92 () (tptp.r3 @t88 @t91 @t89)) % 0.44/0.63 (define @t93 () (tptp.r1 @t91)) % 0.44/0.63 (define @t94 () (and @t93 @t92)) % 0.44/0.63 (define @t95 () (@list @t91)) % 0.44/0.63 (define @t96 () (exists @t95 @t94)) % 0.44/0.63 (define @t97 () (and @t96 @t90)) % 0.44/0.63 (define @t98 () (@list @t89)) % 0.44/0.63 (define @t99 () (exists @t98 @t97)) % 0.44/0.63 (define @t100 () (forall (@list @t88) @t99)) % 0.44/0.63 (define @t101 () (@var "Y18" $$unsorted)) % 0.44/0.63 (define @t102 () (@var "Y8" $$unsorted)) % 0.44/0.63 (define @t103 () (@var "Y17" $$unsorted)) % 0.44/0.63 (define @t104 () (@var "X5" $$unsorted)) % 0.44/0.63 (define @t105 () (@list @t102)) % 0.44/0.63 (define @t106 () (@var "Y11" $$unsorted)) % 0.44/0.63 (define @t107 () (@var "X6" $$unsorted)) % 0.44/0.63 (define @t108 () (@var "Y1" $$unsorted)) % 0.44/0.63 (define @t109 () (@var "Y19" $$unsorted)) % 0.44/0.63 (define @t110 () (@var "Y10" $$unsorted)) % 0.44/0.63 (define @t111 () (@var "X7" $$unsorted)) % 0.44/0.63 (define @t112 () (@var "Y20" $$unsorted)) % 0.44/0.63 (define @t113 () (tptp.r2 @t102 @t60)) % 0.44/0.63 (define @t114 () (tptp.r1 @t102)) % 0.44/0.63 (define @t115 () (and @t114 @t113)) % 0.44/0.63 (define @t116 () (exists @t105 @t115)) % 0.44/0.63 (define @t117 () (tptp.r2 @t60 @t80)) % 0.44/0.63 (define @t118 () (and @t117 @t116)) % 0.44/0.63 (define @t119 () (exists @t69 @t118)) % 0.44/0.63 (define @t120 () (and (= @t108 @t80) @t119)) % 0.44/0.63 (define @t121 () (exists @t82 @t120)) % 0.44/0.63 (define @t122 () (tptp.r3 @t51 @t78 @t108)) % 0.44/0.63 (define @t123 () (tptp.r1 @t51)) % 0.44/0.63 (define @t124 () (and @t123 @t122)) % 0.44/0.63 (define @t125 () (exists @t58 @t124)) % 0.44/0.63 (define @t126 () (tptp.r2 @t75 @t55)) % 0.44/0.63 (define @t127 () (tptp.r1 @t75)) % 0.44/0.63 (define @t128 () (and @t127 @t126)) % 0.44/0.63 (define @t129 () (exists @t79 @t128)) % 0.44/0.63 (define @t130 () (tptp.r2 @t55 @t78)) % 0.44/0.63 (define @t131 () (and @t130 @t129)) % 0.44/0.63 (define @t132 () (exists @t72 @t131)) % 0.44/0.63 (define @t133 () (and @t132 @t125)) % 0.44/0.63 (define @t134 () (exists @t83 @t133)) % 0.44/0.63 (define @t135 () (and @t134 @t121)) % 0.44/0.63 (define @t136 () (@list @t108)) % 0.44/0.63 (define @t137 () (exists @t136 @t135)) % 0.44/0.63 (define @t138 () (not @t137)) % 0.44/0.63 (define @t139 () (@var "BOUND_VARIABLE_8298" $$unsorted)) % 0.44/0.63 (define @t140 () (@var "BOUND_VARIABLE_8300" $$unsorted)) % 0.44/0.63 (define @t141 () (not (tptp.r2 @t140 @t139))) % 0.44/0.63 (define @t142 () (not (tptp.r1 @t140))) % 0.44/0.63 (define @t143 () (not (tptp.r2 @t139 @t108))) % 0.44/0.63 (define @t144 () (@var "BOUND_VARIABLE_8279" $$unsorted)) % 0.44/0.63 (define @t145 () (@var "BOUND_VARIABLE_8285" $$unsorted)) % 0.44/0.63 (define @t146 () (not (tptp.r3 @t145 @t144 @t108))) % 0.44/0.63 (define @t147 () (not (tptp.r1 @t145))) % 0.44/0.63 (define @t148 () (@var "BOUND_VARIABLE_8281" $$unsorted)) % 0.44/0.63 (define @t149 () (@var "BOUND_VARIABLE_8283" $$unsorted)) % 0.44/0.63 (define @t150 () (not (tptp.r2 @t149 @t148))) % 0.44/0.63 (define @t151 () (not (tptp.r1 @t149))) % 0.44/0.63 (define @t152 () (not (tptp.r2 @t148 @t144))) % 0.44/0.63 (define @t153 () (or @t152 @t151 @t150 @t147 @t146 @t143 @t142 @t141)) % 0.44/0.63 (define @t154 () (@list @t108 @t144 @t148 @t149 @t145 @t139 @t140)) % 0.44/0.63 (define @t155 () (or @t143 @t142 @t141)) % 0.44/0.63 (define @t156 () (or @t152 @t151 @t150 @t147 @t146)) % 0.44/0.63 (define @t157 () (or @t156 @t155)) % 0.44/0.63 (define @t158 () (forall @t154 @t157)) % 0.44/0.63 (define @t159 () (forall (@list @t144 @t148 @t149 @t145 @t139 @t140) @t157)) % 0.44/0.63 (define @t160 () (forall (@list @t139 @t140) @t155)) % 0.44/0.63 (define @t161 () (@var "BOUND_VARIABLE_8247" $$unsorted)) % 0.44/0.63 (define @t162 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 0.44/0.63 (define @t163 () (@list @t162 @t161)) % 0.44/0.63 (define @t164 () (forall (@list @t144 @t148 @t149 @t145) @t156)) % 0.44/0.63 (define @t165 () (@var "BOUND_VARIABLE_8195" $$unsorted)) % 0.44/0.63 (define @t166 () (@var "BOUND_VARIABLE_8186" $$unsorted)) % 0.44/0.63 (define @t167 () (@var "BOUND_VARIABLE_8184" $$unsorted)) % 0.44/0.63 (define @t168 () (or @t164 @t160)) % 0.44/0.63 (define @t169 () (not (tptp.r2 @t161 @t162))) % 0.44/0.63 (define @t170 () (not (tptp.r1 @t161))) % 0.44/0.63 (define @t171 () (not (tptp.r2 @t162 @t108))) % 0.44/0.63 (define @t172 () (or @t171 @t170 @t169)) % 0.44/0.63 (define @t173 () (@list @t162 @t161)) % 0.44/0.63 (define @t174 () (forall @t173 @t172)) % 0.44/0.63 (define @t175 () (not (tptp.r3 @t165 @t78 @t108))) % 0.44/0.63 (define @t176 () (not (tptp.r1 @t165))) % 0.44/0.63 (define @t177 () (not (tptp.r2 @t166 @t167))) % 0.44/0.63 (define @t178 () (not (tptp.r1 @t166))) % 0.44/0.63 (define @t179 () (not (tptp.r2 @t167 @t78))) % 0.44/0.63 (define @t180 () (or @t179 @t178 @t177 @t176 @t175)) % 0.44/0.63 (define @t181 () (@list @t78 @t167 @t166 @t165)) % 0.44/0.63 (define @t182 () (forall @t181 @t180)) % 0.44/0.63 (define @t183 () (not @t174)) % 0.44/0.63 (define @t184 () (not @t182)) % 0.44/0.63 (define @t185 () (and @t184 @t183)) % 0.44/0.63 (define @t186 () (forall @t136 (not @t185))) % 0.44/0.63 (define @t187 () (not @t186)) % 0.44/0.63 (define @t188 () (not (= @t108 @t108))) % 0.44/0.63 (define @t189 () (or @t188 @t171 @t170 @t169)) % 0.44/0.63 (define @t190 () (not (tptp.r2 @t162 @t80))) % 0.44/0.63 (define @t191 () (= @t80 @t108)) % 0.44/0.63 (define @t192 () (not @t191)) % 0.44/0.63 (define @t193 () (or @t192 @t192 @t190 @t170 @t169)) % 0.44/0.63 (define @t194 () (or @t192 @t190 @t170 @t169)) % 0.44/0.63 (define @t195 () (forall @t82 @t194)) % 0.44/0.63 (define @t196 () (forall @t173 @t195)) % 0.44/0.63 (define @t197 () (forall (@list @t162 @t161 @t80) @t194)) % 0.44/0.63 (define @t198 () (@list @t80 @t162 @t161)) % 0.44/0.63 (define @t199 () (or @t190 @t170 @t169)) % 0.44/0.63 (define @t200 () (or @t192 @t199)) % 0.44/0.63 (define @t201 () (forall @t198 @t200)) % 0.44/0.63 (define @t202 () (forall @t173 @t200)) % 0.44/0.63 (define @t203 () (forall @t173 @t199)) % 0.44/0.63 (define @t204 () (@var "BOUND_VARIABLE_8224" $$unsorted)) % 0.44/0.63 (define @t205 () (or @t192 @t203)) % 0.44/0.63 (define @t206 () (not (tptp.r2 @t204 @t60))) % 0.44/0.63 (define @t207 () (not (tptp.r1 @t204))) % 0.44/0.63 (define @t208 () (not @t117)) % 0.44/0.63 (define @t209 () (or @t208 @t207 @t206)) % 0.44/0.63 (define @t210 () (@list @t60 @t204)) % 0.44/0.63 (define @t211 () (forall @t210 @t209)) % 0.44/0.63 (define @t212 () (not @t211)) % 0.44/0.63 (define @t213 () (and @t191 @t212)) % 0.44/0.63 (define @t214 () (forall @t82 (not @t213))) % 0.44/0.63 (define @t215 () (not @t214)) % 0.44/0.63 (define @t216 () (or @t207 @t206)) % 0.44/0.63 (define @t217 () (or @t208 @t216)) % 0.44/0.63 (define @t218 () (forall @t210 @t217)) % 0.44/0.63 (define @t219 () (@list @t204)) % 0.44/0.63 (define @t220 () (forall @t219 @t217)) % 0.44/0.63 (define @t221 () (forall @t219 @t216)) % 0.44/0.63 (define @t222 () (or @t208 @t221)) % 0.44/0.63 (define @t223 () (forall @t105 (or (not @t114) (not @t113)))) % 0.44/0.63 (define @t224 () (not @t223)) % 0.44/0.63 (define @t225 () (and @t117 @t224)) % 0.44/0.63 (define @t226 () (forall @t69 (not @t225))) % 0.44/0.63 (define @t227 () (not @t226)) % 0.44/0.63 (define @t228 () (forall @t105 (not @t115))) % 0.44/0.63 (define @t229 () (not @t228)) % 0.44/0.63 (define @t230 () (or @t176 @t175)) % 0.44/0.63 (define @t231 () (or @t179 @t178 @t177)) % 0.44/0.63 (define @t232 () (or @t231 @t230)) % 0.44/0.63 (define @t233 () (forall @t181 @t232)) % 0.44/0.63 (define @t234 () (forall (@list @t167 @t166 @t165) @t232)) % 0.44/0.63 (define @t235 () (forall (@list @t165) @t230)) % 0.44/0.63 (define @t236 () (@list @t51)) % 0.44/0.63 (define @t237 () (forall (@list @t167 @t166) @t231)) % 0.44/0.63 (define @t238 () (@var "BOUND_VARIABLE_8156" $$unsorted)) % 0.44/0.63 (define @t239 () (or @t237 @t235)) % 0.44/0.63 (define @t240 () (forall @t58 (or (not @t123) (not @t122)))) % 0.44/0.63 (define @t241 () (not (tptp.r2 @t238 @t55))) % 0.44/0.63 (define @t242 () (not (tptp.r1 @t238))) % 0.44/0.63 (define @t243 () (not @t130)) % 0.44/0.63 (define @t244 () (or @t243 @t242 @t241)) % 0.44/0.63 (define @t245 () (@list @t55 @t238)) % 0.44/0.63 (define @t246 () (forall @t245 @t244)) % 0.44/0.63 (define @t247 () (not @t240)) % 0.44/0.63 (define @t248 () (not @t246)) % 0.44/0.63 (define @t249 () (and @t248 @t247)) % 0.44/0.63 (define @t250 () (forall @t83 (not @t249))) % 0.44/0.63 (define @t251 () (not @t250)) % 0.44/0.63 (define @t252 () (forall @t58 (not @t124))) % 0.44/0.63 (define @t253 () (not @t252)) % 0.44/0.63 (define @t254 () (or @t242 @t241)) % 0.44/0.63 (define @t255 () (or @t243 @t254)) % 0.44/0.63 (define @t256 () (forall @t245 @t255)) % 0.44/0.63 (define @t257 () (@list @t238)) % 0.44/0.63 (define @t258 () (forall @t257 @t255)) % 0.44/0.63 (define @t259 () (forall @t257 @t254)) % 0.44/0.63 (define @t260 () (or @t243 @t259)) % 0.44/0.63 (define @t261 () (forall @t79 (or (not @t127) (not @t126)))) % 0.44/0.63 (define @t262 () (not @t261)) % 0.44/0.63 (define @t263 () (and @t130 @t262)) % 0.44/0.63 (define @t264 () (forall @t72 (not @t263))) % 0.44/0.63 (define @t265 () (not @t264)) % 0.44/0.63 (define @t266 () (forall @t79 (not @t128))) % 0.44/0.63 (define @t267 () (not @t266)) % 0.44/0.63 (define @t268 () (tptp.r1 @t1)) % 0.44/0.63 (define @t269 () (@var "BOUND_VARIABLE_7649" $$unsorted)) % 0.44/0.63 (define @t270 () (tptp.r1 @t269)) % 0.44/0.63 (define @t271 () (not @t270)) % 0.44/0.63 (define @t272 () (@list @t269)) % 0.44/0.63 (define @t273 () (forall @t272 (or @t271 (and @t270 (= @t1 @t269))))) % 0.44/0.63 (define @t274 () (forall @t12 (or (not @t273) (not @t268)))) % 0.44/0.63 (define @t275 () (@quantifiers_skolemize @t274 0)) % 0.44/0.63 (define @t276 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 0.44/0.63 (define @t277 () (= @t14 @t276)) % 0.44/0.63 (define @t278 () (tptp.r2 @t275 @t276)) % 0.44/0.63 (define @t279 () (not @t278)) % 0.44/0.63 (define @t280 () (@list @t276)) % 0.44/0.63 (define @t281 () (forall @t26 (or (not (forall @t280 (or @t279 (and @t278 @t277)))) (not (tptp.r2 @t275 @t14))))) % 0.44/0.63 (define @t282 () (@quantifiers_skolemize @t281 0)) % 0.44/0.63 (define @t283 () (@var "BOUND_VARIABLE_7892" $$unsorted)) % 0.44/0.63 (define @t284 () (not (tptp.r2 @t283 @t55))) % 0.44/0.63 (define @t285 () (@var "BOUND_VARIABLE_7885" $$unsorted)) % 0.44/0.63 (define @t286 () (not (tptp.r3 @t275 @t285 @t55))) % 0.44/0.63 (define @t287 () (@list @t55 @t285 @t283)) % 0.44/0.63 (define @t288 () (forall @t287 (or (not (tptp.r2 @t282 @t285)) @t286 @t284 (not (tptp.r3 @t275 @t282 @t283))))) % 0.44/0.63 (define @t289 () (@quantifiers_skolemize @t288 1)) % 0.44/0.63 (define @t290 () (@quantifiers_skolemize @t288 0)) % 0.44/0.63 (define @t291 () (not (tptp.r3 @t53 @t52 @t283))) % 0.44/0.63 (define @t292 () (not (tptp.r3 @t53 @t285 @t55))) % 0.44/0.63 (define @t293 () (not (tptp.r2 @t52 @t285))) % 0.44/0.63 (define @t294 () (or @t284 @t291)) % 0.44/0.63 (define @t295 () (or @t293 @t292)) % 0.44/0.63 (define @t296 () (or @t295 @t294)) % 0.44/0.63 (define @t297 () (forall @t287 @t296)) % 0.44/0.63 (define @t298 () (forall (@list @t285 @t283) @t296)) % 0.44/0.63 (define @t299 () (forall (@list @t283) @t294)) % 0.44/0.63 (define @t300 () (forall (@list @t285) @t295)) % 0.44/0.63 (define @t301 () (@var "BOUND_VARIABLE_7847" $$unsorted)) % 0.44/0.63 (define @t302 () (@list @t301)) % 0.44/0.63 (define @t303 () (or @t300 @t299)) % 0.44/0.63 (define @t304 () (forall @t58 (or (not @t56) (not @t54)))) % 0.44/0.63 (define @t305 () (not (tptp.r3 @t53 @t301 @t55))) % 0.44/0.63 (define @t306 () (not (tptp.r2 @t52 @t301))) % 0.44/0.63 (define @t307 () (or @t306 @t305)) % 0.44/0.63 (define @t308 () (@list @t301)) % 0.44/0.63 (define @t309 () (forall @t308 @t307)) % 0.44/0.63 (define @t310 () (not @t304)) % 0.44/0.63 (define @t311 () (not @t309)) % 0.44/0.63 (define @t312 () (and @t311 @t310)) % 0.44/0.63 (define @t313 () (forall @t72 (not @t312))) % 0.44/0.63 (define @t314 () (not @t313)) % 0.44/0.63 (define @t315 () (forall @t58 (not @t57))) % 0.44/0.63 (define @t316 () (not @t315)) % 0.44/0.63 (define @t317 () (not (= @t55 @t55))) % 0.44/0.63 (define @t318 () (or @t317 @t306 @t305)) % 0.44/0.63 (define @t319 () (not (tptp.r3 @t53 @t301 @t60))) % 0.44/0.63 (define @t320 () (= @t55 @t60)) % 0.44/0.63 (define @t321 () (not @t320)) % 0.44/0.63 (define @t322 () (or @t321 @t321 @t306 @t319)) % 0.44/0.63 (define @t323 () (or @t321 @t306 @t319)) % 0.44/0.63 (define @t324 () (forall @t69 @t323)) % 0.44/0.63 (define @t325 () (forall @t308 @t324)) % 0.44/0.63 (define @t326 () (forall (@list @t301 @t60) @t323)) % 0.44/0.63 (define @t327 () (@list @t60 @t301)) % 0.44/0.63 (define @t328 () (or @t306 @t319)) % 0.44/0.63 (define @t329 () (or @t328 @t321)) % 0.44/0.63 (define @t330 () (forall @t327 @t329)) % 0.44/0.63 (define @t331 () (forall @t308 @t329)) % 0.44/0.63 (define @t332 () (forall @t308 @t328)) % 0.44/0.63 (define @t333 () (or @t332 @t321)) % 0.44/0.63 (define @t334 () (forall @t66 (or (not @t64) (not @t63)))) % 0.44/0.63 (define @t335 () (not @t334)) % 0.44/0.63 (define @t336 () (and @t335 @t320)) % 0.44/0.63 (define @t337 () (forall @t69 (not @t336))) % 0.44/0.63 (define @t338 () (not @t337)) % 0.44/0.63 (define @t339 () (forall @t66 (not @t65))) % 0.44/0.63 (define @t340 () (not @t339)) % 0.44/0.63 (define @t341 () (@list @t275 @t282)) % 0.44/0.63 (define @t342 () (tptp.r3 @t275 @t289 @t290)) % 0.44/0.63 (define @t343 () (@quantifiers_skolemize @t288 2)) % 0.44/0.63 (define @t344 () (tptp.r3 @t275 @t282 @t343)) % 0.44/0.63 (define @t345 () (not @t344)) % 0.44/0.63 (define @t346 () (tptp.r2 @t343 @t290)) % 0.44/0.63 (define @t347 () (not @t346)) % 0.44/0.63 (define @t348 () (not @t342)) % 0.44/0.63 (define @t349 () (tptp.r2 @t282 @t289)) % 0.44/0.63 (define @t350 () (not @t349)) % 0.44/0.63 (define @t351 () (or @t350 @t348 @t347 @t345)) % 0.44/0.63 (define @t352 () (@list true)) % 0.44/0.63 (define @t353 () (@list @t351)) % 0.44/0.63 (define @t354 () (tptp.r2 @t17 @t276)) % 0.44/0.63 (define @t355 () (forall @t280 (or (not @t354) (and @t354 @t277)))) % 0.44/0.63 (define @t356 () (tptp.r2 @t17 @t14)) % 0.44/0.63 (define @t357 () (and @t355 @t356)) % 0.44/0.63 (define @t358 () (forall @t26 (not @t357))) % 0.44/0.63 (define @t359 () (not @t358)) % 0.44/0.63 (define @t360 () (= @t14 @t14)) % 0.44/0.63 (define @t361 () (and @t356 @t360)) % 0.44/0.63 (define @t362 () (not @t360)) % 0.44/0.63 (define @t363 () (or @t362 @t361)) % 0.44/0.63 (define @t364 () (@var "BOUND_VARIABLE_7705" $$unsorted)) % 0.44/0.63 (define @t365 () (= @t14 @t364)) % 0.44/0.63 (define @t366 () (and (tptp.r2 @t17 @t364) @t365)) % 0.44/0.63 (define @t367 () (not @t365)) % 0.44/0.63 (define @t368 () (@list @t364)) % 0.44/0.63 (define @t369 () (or @t367 @t367 @t366)) % 0.44/0.63 (define @t370 () (or @t367 @t366)) % 0.44/0.63 (define @t371 () (forall @t368 @t370)) % 0.44/0.63 (define @t372 () (= @t14 @t15)) % 0.44/0.63 (define @t373 () (and @t18 @t372)) % 0.44/0.63 (define @t374 () (not @t372)) % 0.44/0.63 (define @t375 () (or @t374 @t373)) % 0.44/0.63 (define @t376 () (forall @t24 @t375)) % 0.44/0.63 (define @t377 () (@list @t15)) % 0.44/0.63 (define @t378 () (or @t21 @t373)) % 0.44/0.63 (define @t379 () (forall @t24 @t378)) % 0.44/0.63 (define @t380 () (and @t379 @t376)) % 0.44/0.63 (define @t381 () (@list @t275)) % 0.44/0.63 (define @t382 () (tptp.r2 @t275 @t282)) % 0.44/0.63 (define @t383 () (not @t382)) % 0.44/0.63 (define @t384 () (forall @t280 (or @t279 (and @t278 (= @t276 @t282))))) % 0.44/0.63 (define @t385 () (not @t384)) % 0.44/0.63 (define @t386 () (or @t385 @t383)) % 0.44/0.63 (define @t387 () (not @t386)) % 0.44/0.63 (define @t388 () (not @t281)) % 0.44/0.63 (define @t389 () (and @t278 (= @t282 @t276))) % 0.44/0.63 (define @t390 () (or @t279 @t389)) % 0.44/0.63 (define @t391 () (forall @t280 @t390)) % 0.44/0.63 (define @t392 () (not @t391)) % 0.44/0.63 (define @t393 () (or @t392 @t383)) % 0.44/0.63 (define @t394 () (not @t393)) % 0.44/0.63 (define @t395 () (@list @t386)) % 0.44/0.63 (define @t396 () (and @t273 @t268)) % 0.44/0.63 (define @t397 () (forall @t12 (not @t396))) % 0.44/0.63 (define @t398 () (not @t397)) % 0.44/0.63 (define @t399 () (= @t1 @t1)) % 0.44/0.63 (define @t400 () (and @t268 @t399)) % 0.44/0.63 (define @t401 () (not @t399)) % 0.44/0.63 (define @t402 () (or @t401 @t400)) % 0.44/0.63 (define @t403 () (@var "BOUND_VARIABLE_7658" $$unsorted)) % 0.44/0.63 (define @t404 () (= @t1 @t403)) % 0.44/0.63 (define @t405 () (and (tptp.r1 @t403) @t404)) % 0.44/0.63 (define @t406 () (not @t404)) % 0.44/0.63 (define @t407 () (@list @t403)) % 0.44/0.63 (define @t408 () (or @t406 @t406 @t405)) % 0.44/0.63 (define @t409 () (or @t406 @t405)) % 0.44/0.63 (define @t410 () (forall @t407 @t409)) % 0.44/0.63 (define @t411 () (= @t1 @t2)) % 0.44/0.63 (define @t412 () (and @t4 @t411)) % 0.44/0.63 (define @t413 () (not @t411)) % 0.44/0.63 (define @t414 () (or @t413 @t412)) % 0.44/0.63 (define @t415 () (forall @t10 @t414)) % 0.44/0.63 (define @t416 () (@list @t2)) % 0.44/0.63 (define @t417 () (or @t7 @t412)) % 0.44/0.63 (define @t418 () (forall @t10 @t417)) % 0.44/0.63 (define @t419 () (and @t418 @t415)) % 0.44/0.63 (define @t420 () (tptp.r1 @t275)) % 0.44/0.63 (define @t421 () (not @t420)) % 0.44/0.63 (define @t422 () (forall @t272 (or @t271 (and @t270 (= @t269 @t275))))) % 0.44/0.63 (define @t423 () (not @t422)) % 0.44/0.63 (define @t424 () (or @t423 @t421)) % 0.44/0.63 (define @t425 () (not @t424)) % 0.44/0.63 (define @t426 () (not @t274)) % 0.44/0.63 (define @t427 () (and @t270 (= @t275 @t269))) % 0.44/0.63 (define @t428 () (or @t271 @t427)) % 0.44/0.63 (define @t429 () (forall @t272 @t428)) % 0.44/0.63 (define @t430 () (not @t429)) % 0.44/0.63 (define @t431 () (or @t430 @t421)) % 0.44/0.63 (define @t432 () (not @t431)) % 0.44/0.63 (define @t433 () (@list @t424)) % 0.44/0.63 (define @t434 () (not (tptp.r2 @t282 @t290))) % 0.44/0.63 (define @t435 () (or @t350 @t421 @t383 @t421 @t348 @t434 @t421 @t383)) % 0.44/0.63 (define @t436 () (forall @t287 (or (not (tptp.r2 @t275 @t285)) @t286 @t284 (not (tptp.r3 @t275 @t275 @t283))))) % 0.44/0.63 (define @t437 () (@quantifiers_skolemize @t436 0)) % 0.44/0.63 (define @t438 () (tptp.r2 @t275 @t437)) % 0.44/0.63 (define @t439 () (and @t438 (= @t437 @t282))) % 0.44/0.63 (define @t440 () (not @t438)) % 0.44/0.63 (define @t441 () (or @t440 @t439)) % 0.44/0.63 (define @t442 () (@list @t437)) % 0.44/0.63 (define @t443 () (= @t282 @t437)) % 0.44/0.63 (define @t444 () (and @t438 @t443)) % 0.44/0.63 (define @t445 () (or @t440 @t444)) % 0.44/0.63 (define @t446 () (@list false)) % 0.44/0.63 (define @t447 () (@list @t384)) % 0.44/0.63 (define @t448 () (@list @t275 @t275)) % 0.44/0.63 (define @t449 () (@quantifiers_skolemize @t436 2)) % 0.44/0.63 (define @t450 () (tptp.r2 @t449 @t437)) % 0.44/0.63 (define @t451 () (tptp.r3 @t275 @t275 @t449)) % 0.44/0.63 (define @t452 () (not @t451)) % 0.44/0.63 (define @t453 () (not @t450)) % 0.44/0.63 (define @t454 () (@quantifiers_skolemize @t436 1)) % 0.44/0.63 (define @t455 () (tptp.r3 @t275 @t454 @t437)) % 0.44/0.63 (define @t456 () (not @t455)) % 0.44/0.63 (define @t457 () (tptp.r2 @t275 @t454)) % 0.44/0.63 (define @t458 () (not @t457)) % 0.44/0.63 (define @t459 () (or @t458 @t456 @t453 @t452)) % 0.44/0.63 (define @t460 () (@list @t459)) % 0.44/0.63 (define @t461 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 0.44/0.63 (define @t462 () (= @t29 @t461)) % 0.44/0.63 (define @t463 () (tptp.r3 @t33 @t32 @t461)) % 0.44/0.63 (define @t464 () (@list @t461)) % 0.44/0.63 (define @t465 () (forall @t464 (or (not @t463) (and @t463 @t462)))) % 0.44/0.63 (define @t466 () (tptp.r3 @t33 @t32 @t29)) % 0.44/0.63 (define @t467 () (and @t465 @t466)) % 0.44/0.63 (define @t468 () (forall @t42 (not @t467))) % 0.44/0.63 (define @t469 () (not @t468)) % 0.44/0.63 (define @t470 () (= @t29 @t29)) % 0.44/0.63 (define @t471 () (and @t466 @t470)) % 0.44/0.63 (define @t472 () (not @t470)) % 0.44/0.63 (define @t473 () (or @t472 @t471)) % 0.44/0.63 (define @t474 () (@var "BOUND_VARIABLE_7753" $$unsorted)) % 0.44/0.63 (define @t475 () (= @t29 @t474)) % 0.44/0.63 (define @t476 () (and (tptp.r3 @t33 @t32 @t474) @t475)) % 0.44/0.63 (define @t477 () (not @t475)) % 0.44/0.63 (define @t478 () (@list @t474)) % 0.44/0.63 (define @t479 () (or @t477 @t477 @t476)) % 0.44/0.63 (define @t480 () (or @t477 @t476)) % 0.44/0.63 (define @t481 () (forall @t478 @t480)) % 0.44/0.63 (define @t482 () (= @t29 @t30)) % 0.44/0.63 (define @t483 () (and @t34 @t482)) % 0.44/0.63 (define @t484 () (not @t482)) % 0.44/0.63 (define @t485 () (or @t484 @t483)) % 0.44/0.63 (define @t486 () (forall @t40 @t485)) % 0.44/0.63 (define @t487 () (@list @t30)) % 0.44/0.63 (define @t488 () (or @t37 @t483)) % 0.44/0.63 (define @t489 () (forall @t40 @t488)) % 0.44/0.63 (define @t490 () (and @t489 @t486)) % 0.44/0.63 (define @t491 () (tptp.r3 @t275 @t275 @t461)) % 0.44/0.63 (define @t492 () (not @t491)) % 0.44/0.63 (define @t493 () (forall @t42 (or (not (forall @t464 (or @t492 (and @t491 @t462)))) (not (tptp.r3 @t275 @t275 @t29))))) % 0.44/0.63 (define @t494 () (@quantifiers_skolemize @t493 0)) % 0.44/0.63 (define @t495 () (not (tptp.r3 @t275 @t275 @t494))) % 0.44/0.63 (define @t496 () (forall @t464 (or @t492 (and @t491 (= @t461 @t494))))) % 0.44/0.63 (define @t497 () (not @t496)) % 0.44/0.63 (define @t498 () (or @t497 @t495)) % 0.44/0.63 (define @t499 () (not @t498)) % 0.44/0.63 (define @t500 () (not @t493)) % 0.44/0.63 (define @t501 () (and @t491 (= @t494 @t461))) % 0.44/0.63 (define @t502 () (or @t492 @t501)) % 0.44/0.63 (define @t503 () (forall @t464 @t502)) % 0.44/0.63 (define @t504 () (not @t503)) % 0.44/0.63 (define @t505 () (or @t504 @t495)) % 0.44/0.63 (define @t506 () (not @t505)) % 0.44/0.63 (define @t507 () (and @t451 (= @t449 @t494))) % 0.44/0.63 (define @t508 () (or @t452 @t507)) % 0.44/0.63 (define @t509 () (= @t494 @t449)) % 0.44/0.63 (define @t510 () (and @t451 @t509)) % 0.44/0.63 (define @t511 () (or @t452 @t510)) % 0.44/0.63 (define @t512 () (@list false false)) % 0.44/0.63 (define @t513 () (@var "BOUND_VARIABLE_8028" $$unsorted)) % 0.44/0.63 (define @t514 () (not (tptp.r3 @t88 @t513 @t88))) % 0.44/0.63 (define @t515 () (not (tptp.r1 @t513))) % 0.44/0.63 (define @t516 () (not (= @t88 @t88))) % 0.44/0.63 (define @t517 () (or @t516 @t515 @t514)) % 0.44/0.63 (define @t518 () (@list @t513)) % 0.44/0.63 (define @t519 () (not (tptp.r3 @t88 @t513 @t89))) % 0.44/0.63 (define @t520 () (= @t88 @t89)) % 0.44/0.63 (define @t521 () (not @t520)) % 0.44/0.63 (define @t522 () (or @t521 @t521 @t515 @t519)) % 0.44/0.63 (define @t523 () (or @t521 @t515 @t519)) % 0.44/0.63 (define @t524 () (forall @t98 @t523)) % 0.44/0.63 (define @t525 () (forall @t518 @t524)) % 0.44/0.63 (define @t526 () (forall (@list @t513 @t89) @t523)) % 0.44/0.63 (define @t527 () (@list @t89 @t513)) % 0.44/0.63 (define @t528 () (or @t515 @t519)) % 0.44/0.63 (define @t529 () (or @t528 @t521)) % 0.44/0.63 (define @t530 () (forall @t527 @t529)) % 0.44/0.63 (define @t531 () (forall @t518 @t529)) % 0.44/0.63 (define @t532 () (forall @t518 @t528)) % 0.44/0.63 (define @t533 () (or @t532 @t521)) % 0.44/0.63 (define @t534 () (forall @t95 (or (not @t93) (not @t92)))) % 0.44/0.63 (define @t535 () (not @t534)) % 0.44/0.63 (define @t536 () (and @t535 @t520)) % 0.44/0.63 (define @t537 () (forall @t98 (not @t536))) % 0.44/0.63 (define @t538 () (not @t537)) % 0.44/0.63 (define @t539 () (forall @t95 (not @t94))) % 0.44/0.63 (define @t540 () (not @t539)) % 0.44/0.63 (define @t541 () (@quantifiers_skolemize (forall @t518 (or @t515 (not (tptp.r3 @t275 @t513 @t275)))) 0)) % 0.44/0.63 (define @t542 () (tptp.r3 @t275 @t541 @t275)) % 0.44/0.63 (define @t543 () (not @t542)) % 0.44/0.63 (define @t544 () (tptp.r1 @t541)) % 0.44/0.63 (define @t545 () (not @t544)) % 0.44/0.63 (define @t546 () (or @t545 @t543)) % 0.44/0.63 (define @t547 () (@list @t546)) % 0.44/0.63 (define @t548 () (and @t544 (= @t541 @t275))) % 0.44/0.63 (define @t549 () (or @t545 @t548)) % 0.44/0.63 (define @t550 () (= @t275 @t541)) % 0.44/0.63 (define @t551 () (and @t544 @t550)) % 0.44/0.63 (define @t552 () (or @t545 @t551)) % 0.44/0.63 (define @t553 () (tptp.r3 @t275 @t275 @t275)) % 0.44/0.63 (define @t554 () (= @t275 @t494)) % 0.44/0.63 (define @t555 () (and @t553 @t554)) % 0.44/0.63 (define @t556 () (not @t553)) % 0.44/0.63 (define @t557 () (or @t556 @t555)) % 0.44/0.63 (define @t558 () (tptp.r3 @t275 @t282 @t461)) % 0.44/0.63 (define @t559 () (not @t558)) % 0.44/0.63 (define @t560 () (forall @t42 (or (not (forall @t464 (or @t559 (and @t558 @t462)))) (not (tptp.r3 @t275 @t282 @t29))))) % 0.44/0.63 (define @t561 () (@quantifiers_skolemize @t560 0)) % 0.44/0.63 (define @t562 () (not (tptp.r3 @t275 @t282 @t561))) % 0.44/0.63 (define @t563 () (forall @t464 (or @t559 (and @t558 (= @t461 @t561))))) % 0.44/0.63 (define @t564 () (not @t563)) % 0.44/0.63 (define @t565 () (or @t564 @t562)) % 0.44/0.63 (define @t566 () (not @t565)) % 0.44/0.63 (define @t567 () (not @t560)) % 0.44/0.63 (define @t568 () (and @t558 (= @t561 @t461))) % 0.44/0.63 (define @t569 () (or @t559 @t568)) % 0.44/0.63 (define @t570 () (forall @t464 @t569)) % 0.44/0.63 (define @t571 () (not @t570)) % 0.44/0.63 (define @t572 () (or @t571 @t562)) % 0.44/0.63 (define @t573 () (not @t572)) % 0.44/0.63 (define @t574 () (and @t457 (= @t454 @t282))) % 0.44/0.63 (define @t575 () (or @t458 @t574)) % 0.44/0.63 (define @t576 () (= @t282 @t454)) % 0.44/0.63 (define @t577 () (and @t457 @t576)) % 0.44/0.63 (define @t578 () (or @t458 @t577)) % 0.44/0.63 (define @t579 () (tptp.r3 @t275 @t282 @t437)) % 0.44/0.63 (define @t580 () (= @t437 @t561)) % 0.44/0.63 (define @t581 () (and @t579 @t580)) % 0.44/0.63 (define @t582 () (not @t579)) % 0.44/0.63 (define @t583 () (or @t582 @t581)) % 0.44/0.63 (define @t584 () (and @t344 (= @t343 @t561))) % 0.44/0.63 (define @t585 () (or @t345 @t584)) % 0.44/0.63 (define @t586 () (= @t561 @t343)) % 0.44/0.63 (define @t587 () (and @t344 @t586)) % 0.44/0.63 (define @t588 () (or @t345 @t587)) % 0.44/0.63 (assume @p1 @t13) % 0.44/0.63 (assume @p2 @t28) % 0.44/0.63 (assume @p3 @t44) % 0.44/0.63 (assume @p4 (forall (@list @t49 @t48) (exists (@list @t45) (forall (@list @t46) (or (and (not @t50) (not @t47)) (and @t50 @t47)))))) % 0.44/0.63 (assume @p5 @t74) % 0.44/0.63 (assume @p6 (forall (@list @t77 @t76) (exists @t83 (and (exists @t82 (and (exists (@list @t81) (and (tptp.r2 @t76 @t81) (tptp.r4 @t77 @t81 @t80))) (= @t80 @t78))) (exists @t79 (and (tptp.r3 @t75 @t77 @t78) (tptp.r4 @t77 @t76 @t75))))))) % 0.44/0.63 (assume @p7 (forall (@list @t85 @t84) (or (forall (@list @t86) (or (forall (@list @t87) (or (not (tptp.r2 @t85 @t87)) (not (= @t87 @t86)))) (not (tptp.r2 @t84 @t86)))) (= @t85 @t84)))) % 0.44/0.63 (assume @p8 @t100) % 0.44/0.63 (assume @p9 (forall (@list @t104) (exists @t105 (and (exists (@list @t103) (and (tptp.r1 @t103) (tptp.r4 @t104 @t103 @t102))) (exists (@list @t101) (and (tptp.r1 @t101) (= @t102 @t101))))))) % 0.44/0.63 (assume @p10 (forall (@list @t107) (or (exists (@list @t109) (and (tptp.r1 @t109) (= @t107 @t109))) (exists (@list @t108 @t106) (and (tptp.r2 @t108 @t106) (= @t107 @t106)))))) % 0.44/0.63 (assume @p11 (forall (@list @t111 @t110) (or (forall (@list @t112) (or (not (tptp.r1 @t112)) (not (= @t112 @t110)))) (not (tptp.r2 @t111 @t110))))) % 0.44/0.63 (assume @p12 @t138) % 0.44/0.63 (assume @p13 true) % 0.44/0.63 (step @p14 :rule evaluate :args ((= true false))) % 0.44/0.63 (step @p15 :rule bool-double-not-elim :args ((forall @t154 @t153))) % 0.44/0.63 (step @p16 :rule aci_norm :args ((= @t157 @t153))) % 0.44/0.63 (step @p17 :rule cong :premises (@p16) :args (@t158)) % 0.44/0.63 (step @p18 :rule quant-merge-prenex :args ((= (forall @t136 @t159) @t158))) % 0.44/0.63 (step @p19 :rule alpha_equiv :args (@t160 (@list @t139 @t140) @t163)) % 0.44/0.63 (step @p20 :rule alpha_equiv :args (@t164 (@list @t144 @t148 @t149 @t145) (@list @t78 @t167 @t166 @t165))) % 0.44/0.63 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t168)) % 0.44/0.63 (step @p22 :rule quant-miniscope-or :args ((= @t159 @t168))) % 0.44/0.63 (step @p23 :rule trans :premises (@p22 @p21)) % 0.44/0.63 (step @p24 :rule symm :premises (@p23)) % 0.44/0.63 (step @p25 :rule cong :premises (@p24) :args ((forall @t136 (or @t182 @t174)))) % 0.44/0.63 (step @p26 :rule trans :premises (@p25 @p18)) % 0.44/0.63 (step @p27 :rule trans :premises (@p26 @p17)) % 0.44/0.63 (step @p28 :rule bool-double-not-elim :args (@t174)) % 0.44/0.63 (step @p29 :rule bool-double-not-elim :args (@t182)) % 0.44/0.63 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t184) (not @t183)))) % 0.44/0.63 (step @p31 :rule bool-and-de-morgan :args (@t184 @t183 true)) % 0.44/0.63 (step @p32 :rule trans :premises (@p31 @p30)) % 0.44/0.63 (step @p33 :rule cong :premises (@p32) :args (@t186)) % 0.44/0.63 (step @p34 :rule trans :premises (@p33 @p27)) % 0.44/0.63 (step @p35 :rule cong :premises (@p34) :args (@t187)) % 0.44/0.63 (step @p36 :rule exists-elim :args ((= (exists @t136 @t185) @t187))) % 0.44/0.63 (step @p37 :rule trans :premises (@p36 @p35)) % 0.44/0.63 (step @p38 :rule aci_norm :args ((= (or false @t171 @t170 @t169) @t172))) % 0.44/0.63 (step @p39 :rule refl :args (@t169)) % 0.44/0.63 (step @p40 :rule refl :args (@t170)) % 0.44/0.63 (step @p41 :rule refl :args (@t171)) % 0.44/0.63 (step @p42 :rule evaluate :args ((not true))) % 0.44/0.63 (step @p43 :rule eq-refl :args (@t108)) % 0.44/0.63 (step @p44 :rule cong :premises (@p43) :args (@t188)) % 0.44/0.63 (step @p45 :rule trans :premises (@p44 @p42)) % 0.44/0.63 (step @p46 :rule nary_cong :premises (@p45 @p41 @p40 @p39) :args (@t189)) % 0.44/0.63 (step @p47 :rule trans :premises (@p46 @p38)) % 0.44/0.63 (step @p48 :rule cong :premises (@p47) :args ((forall @t173 @t189))) % 0.44/0.63 (step @p49 :rule quant-var-elim-eq :args ((= (forall @t82 @t193) @t189))) % 0.44/0.63 (step @p50 :rule aci_norm :args ((= @t194 @t193))) % 0.44/0.63 (step @p51 :rule cong :premises (@p50) :args (@t195)) % 0.44/0.63 (step @p52 :rule trans :premises (@p51 @p49)) % 0.44/0.63 (step @p53 :rule cong :premises (@p52) :args (@t196)) % 0.44/0.63 (step @p54 :rule quant-merge-prenex :args ((= @t196 @t197))) % 0.44/0.63 (step @p55 :rule symm :premises (@p54)) % 0.44/0.63 (step @p56 :rule quant_var_reordering :args ((= (forall @t198 @t194) @t197))) % 0.44/0.63 (step @p57 :rule trans :premises (@p56 @p55 @p53)) % 0.44/0.63 (step @p58 :rule trans :premises (@p57 @p48)) % 0.44/0.63 (step @p59 :rule aci_norm :args ((= @t200 @t194))) % 0.44/0.63 (step @p60 :rule cong :premises (@p59) :args (@t201)) % 0.44/0.63 (step @p61 :rule trans :premises (@p60 @p58)) % 0.44/0.63 (step @p62 :rule quant-merge-prenex :args ((= (forall @t82 @t202) @t201))) % 0.44/0.63 (step @p63 :rule alpha_equiv :args (@t203 @t163 (@list @t60 @t204))) % 0.44/0.63 (step @p64 :rule refl :args (@t192)) % 0.44/0.63 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t205)) % 0.44/0.63 (step @p66 :rule quant-miniscope-or :args ((= @t202 @t205))) % 0.44/0.63 (step @p67 :rule trans :premises (@p66 @p65)) % 0.44/0.63 (step @p68 :rule symm :premises (@p67)) % 0.44/0.63 (step @p69 :rule cong :premises (@p68) :args ((forall @t82 (or @t192 @t211)))) % 0.44/0.63 (step @p70 :rule trans :premises (@p69 @p62)) % 0.44/0.63 (step @p71 :rule trans :premises (@p70 @p61)) % 0.44/0.63 (step @p72 :rule bool-double-not-elim :args (@t211)) % 0.44/0.63 (step @p73 :rule nary_cong :premises (@p64 @p72) :args ((or @t192 (not @t212)))) % 0.44/0.63 (step @p74 :rule bool-and-de-morgan :args (@t191 @t212 true)) % 0.44/0.63 (step @p75 :rule trans :premises (@p74 @p73)) % 0.44/0.63 (step @p76 :rule cong :premises (@p75) :args (@t214)) % 0.44/0.63 (step @p77 :rule trans :premises (@p76 @p71)) % 0.44/0.63 (step @p78 :rule cong :premises (@p77) :args (@t215)) % 0.44/0.63 (step @p79 :rule exists-elim :args ((= (exists @t82 @t213) @t215))) % 0.44/0.63 (step @p80 :rule trans :premises (@p79 @p78)) % 0.44/0.63 (step @p81 :rule aci_norm :args ((= @t217 @t209))) % 0.44/0.63 (step @p82 :rule cong :premises (@p81) :args (@t218)) % 0.44/0.63 (step @p83 :rule quant-merge-prenex :args ((= (forall @t69 @t220) @t218))) % 0.44/0.63 (step @p84 :rule alpha_equiv :args (@t221 (@list @t204) (@list @t102))) % 0.44/0.63 (step @p85 :rule refl :args (@t208)) % 0.44/0.63 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t222)) % 0.44/0.63 (step @p87 :rule quant-miniscope-or :args ((= @t220 @t222))) % 0.44/0.63 (step @p88 :rule trans :premises (@p87 @p86)) % 0.44/0.63 (step @p89 :rule symm :premises (@p88)) % 0.44/0.63 (step @p90 :rule cong :premises (@p89) :args ((forall @t69 (or @t208 @t223)))) % 0.44/0.63 (step @p91 :rule trans :premises (@p90 @p83)) % 0.44/0.63 (step @p92 :rule trans :premises (@p91 @p82)) % 0.44/0.63 (step @p93 :rule bool-double-not-elim :args (@t223)) % 0.44/0.63 (step @p94 :rule nary_cong :premises (@p85 @p93) :args ((or @t208 (not @t224)))) % 0.44/0.63 (step @p95 :rule bool-and-de-morgan :args (@t117 @t224 true)) % 0.44/0.63 (step @p96 :rule trans :premises (@p95 @p94)) % 0.44/0.63 (step @p97 :rule cong :premises (@p96) :args (@t226)) % 0.44/0.63 (step @p98 :rule trans :premises (@p97 @p92)) % 0.44/0.63 (step @p99 :rule cong :premises (@p98) :args (@t227)) % 0.44/0.63 (step @p100 :rule exists-elim :args ((= (exists @t69 @t225) @t227))) % 0.44/0.63 (step @p101 :rule trans :premises (@p100 @p99)) % 0.44/0.63 (step @p102 :rule bool-and-de-morgan :args (@t114 @t113 true)) % 0.44/0.63 (step @p103 :rule cong :premises (@p102) :args (@t228)) % 0.44/0.63 (step @p104 :rule cong :premises (@p103) :args (@t229)) % 0.44/0.63 (step @p105 :rule exists-elim :args ((= @t116 @t229))) % 0.44/0.63 (step @p106 :rule trans :premises (@p105 @p104)) % 0.44/0.63 (step @p107 :rule refl :args (@t117)) % 0.44/0.63 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t118)) % 0.44/0.63 (step @p109 :rule cong :premises (@p108) :args (@t119)) % 0.44/0.63 (step @p110 :rule trans :premises (@p109 @p101)) % 0.44/0.63 (step @p111 :rule eq-symm :args (@t108 @t80)) % 0.44/0.63 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t120)) % 0.44/0.63 (step @p113 :rule cong :premises (@p112) :args (@t121)) % 0.44/0.63 (step @p114 :rule trans :premises (@p113 @p80)) % 0.44/0.63 (step @p115 :rule aci_norm :args ((= @t232 @t180))) % 0.44/0.63 (step @p116 :rule cong :premises (@p115) :args (@t233)) % 0.44/0.63 (step @p117 :rule quant-merge-prenex :args ((= (forall @t83 @t234) @t233))) % 0.44/0.63 (step @p118 :rule alpha_equiv :args (@t235 (@list @t165) @t236)) % 0.44/0.63 (step @p119 :rule alpha_equiv :args (@t237 (@list @t167 @t166) (@list @t55 @t238))) % 0.44/0.63 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t239)) % 0.44/0.63 (step @p121 :rule quant-miniscope-or :args ((= @t234 @t239))) % 0.44/0.63 (step @p122 :rule trans :premises (@p121 @p120)) % 0.44/0.63 (step @p123 :rule symm :premises (@p122)) % 0.44/0.63 (step @p124 :rule cong :premises (@p123) :args ((forall @t83 (or @t246 @t240)))) % 0.44/0.63 (step @p125 :rule trans :premises (@p124 @p117)) % 0.44/0.63 (step @p126 :rule trans :premises (@p125 @p116)) % 0.44/0.63 (step @p127 :rule bool-double-not-elim :args (@t240)) % 0.44/0.63 (step @p128 :rule bool-double-not-elim :args (@t246)) % 0.44/0.63 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t248) (not @t247)))) % 0.44/0.63 (step @p130 :rule bool-and-de-morgan :args (@t248 @t247 true)) % 0.44/0.63 (step @p131 :rule trans :premises (@p130 @p129)) % 0.44/0.63 (step @p132 :rule cong :premises (@p131) :args (@t250)) % 0.44/0.63 (step @p133 :rule trans :premises (@p132 @p126)) % 0.44/0.63 (step @p134 :rule cong :premises (@p133) :args (@t251)) % 0.44/0.63 (step @p135 :rule exists-elim :args ((= (exists @t83 @t249) @t251))) % 0.44/0.63 (step @p136 :rule trans :premises (@p135 @p134)) % 0.44/0.63 (step @p137 :rule bool-and-de-morgan :args (@t123 @t122 true)) % 0.44/0.63 (step @p138 :rule cong :premises (@p137) :args (@t252)) % 0.44/0.63 (step @p139 :rule cong :premises (@p138) :args (@t253)) % 0.44/0.63 (step @p140 :rule exists-elim :args ((= @t125 @t253))) % 0.44/0.63 (step @p141 :rule trans :premises (@p140 @p139)) % 0.44/0.63 (step @p142 :rule aci_norm :args ((= @t255 @t244))) % 0.44/0.63 (step @p143 :rule cong :premises (@p142) :args (@t256)) % 0.44/0.63 (step @p144 :rule quant-merge-prenex :args ((= (forall @t72 @t258) @t256))) % 0.44/0.63 (step @p145 :rule alpha_equiv :args (@t259 (@list @t238) (@list @t75))) % 0.44/0.63 (step @p146 :rule refl :args (@t243)) % 0.44/0.63 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t260)) % 0.44/0.63 (step @p148 :rule quant-miniscope-or :args ((= @t258 @t260))) % 0.44/0.63 (step @p149 :rule trans :premises (@p148 @p147)) % 0.44/0.63 (step @p150 :rule symm :premises (@p149)) % 0.44/0.63 (step @p151 :rule cong :premises (@p150) :args ((forall @t72 (or @t243 @t261)))) % 0.44/0.63 (step @p152 :rule trans :premises (@p151 @p144)) % 0.44/0.63 (step @p153 :rule trans :premises (@p152 @p143)) % 0.44/0.63 (step @p154 :rule bool-double-not-elim :args (@t261)) % 0.44/0.63 (step @p155 :rule nary_cong :premises (@p146 @p154) :args ((or @t243 (not @t262)))) % 0.44/0.63 (step @p156 :rule bool-and-de-morgan :args (@t130 @t262 true)) % 0.44/0.63 (step @p157 :rule trans :premises (@p156 @p155)) % 0.44/0.63 (step @p158 :rule cong :premises (@p157) :args (@t264)) % 0.44/0.63 (step @p159 :rule trans :premises (@p158 @p153)) % 0.44/0.63 (step @p160 :rule cong :premises (@p159) :args (@t265)) % 0.44/0.63 (step @p161 :rule exists-elim :args ((= (exists @t72 @t263) @t265))) % 0.44/0.63 (step @p162 :rule trans :premises (@p161 @p160)) % 0.44/0.63 (step @p163 :rule bool-and-de-morgan :args (@t127 @t126 true)) % 0.44/0.63 (step @p164 :rule cong :premises (@p163) :args (@t266)) % 0.44/0.63 (step @p165 :rule cong :premises (@p164) :args (@t267)) % 0.44/0.63 (step @p166 :rule exists-elim :args ((= @t129 @t267))) % 0.44/0.63 (step @p167 :rule trans :premises (@p166 @p165)) % 0.44/0.63 (step @p168 :rule refl :args (@t130)) % 0.44/0.63 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t131)) % 0.44/0.63 (step @p170 :rule cong :premises (@p169) :args (@t132)) % 0.44/0.63 (step @p171 :rule trans :premises (@p170 @p162)) % 0.44/0.63 (step @p172 :rule nary_cong :premises (@p171 @p141) :args (@t133)) % 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