%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN076+2 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:42:54 AM UTC 2026 % Result : Theorem 0.22s 0.43s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUN076+2 : TPTP v9.2.1. Released v7.3.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Tue Jun 2 07:39:15 EDT 2026 % 0.06/0.25 % CPUTime : % 0.14/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.22/0.43 % SZS status Theorem % 0.22/0.43 % SZS output start Proof % 0.22/0.43 ( % 0.22/0.43 (declare-sort $$unsorted 0) % 0.22/0.43 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.22/0.43 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.22/0.43 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.22/0.43 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.22/0.43 (define @t1 () (@var "Y24" $$unsorted)) % 0.22/0.43 (define @t2 () (@var "X19" $$unsorted)) % 0.22/0.43 (define @t3 () (= @t2 @t1)) % 0.22/0.43 (define @t4 () (tptp.r1 @t2)) % 0.22/0.43 (define @t5 () (and @t4 @t3)) % 0.22/0.43 (define @t6 () (not @t3)) % 0.22/0.43 (define @t7 () (not @t4)) % 0.22/0.43 (define @t8 () (and @t7 @t6)) % 0.22/0.43 (define @t9 () (or @t8 @t5)) % 0.22/0.43 (define @t10 () (@list @t2)) % 0.22/0.43 (define @t11 () (forall @t10 @t9)) % 0.22/0.43 (define @t12 () (@list @t1)) % 0.22/0.43 (define @t13 () (exists @t12 @t11)) % 0.22/0.43 (define @t14 () (@var "Y21" $$unsorted)) % 0.22/0.43 (define @t15 () (@var "X12" $$unsorted)) % 0.22/0.43 (define @t16 () (= @t15 @t14)) % 0.22/0.43 (define @t17 () (@var "X11" $$unsorted)) % 0.22/0.43 (define @t18 () (tptp.r2 @t17 @t15)) % 0.22/0.43 (define @t19 () (and @t18 @t16)) % 0.22/0.43 (define @t20 () (not @t16)) % 0.22/0.43 (define @t21 () (not @t18)) % 0.22/0.43 (define @t22 () (and @t21 @t20)) % 0.22/0.43 (define @t23 () (or @t22 @t19)) % 0.22/0.43 (define @t24 () (@list @t15)) % 0.22/0.43 (define @t25 () (forall @t24 @t23)) % 0.22/0.43 (define @t26 () (@list @t14)) % 0.22/0.43 (define @t27 () (exists @t26 @t25)) % 0.22/0.43 (define @t28 () (forall (@list @t17) @t27)) % 0.22/0.43 (define @t29 () (@var "Y22" $$unsorted)) % 0.22/0.43 (define @t30 () (@var "X15" $$unsorted)) % 0.22/0.43 (define @t31 () (= @t30 @t29)) % 0.22/0.43 (define @t32 () (@var "X14" $$unsorted)) % 0.22/0.43 (define @t33 () (@var "X13" $$unsorted)) % 0.22/0.43 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 0.22/0.43 (define @t35 () (@var "Y23" $$unsorted)) % 0.22/0.43 (define @t36 () (@var "X18" $$unsorted)) % 0.22/0.43 (define @t37 () (= @t36 @t35)) % 0.22/0.43 (define @t38 () (@var "X17" $$unsorted)) % 0.22/0.43 (define @t39 () (@var "X16" $$unsorted)) % 0.22/0.43 (define @t40 () (tptp.r4 @t39 @t38 @t36)) % 0.22/0.43 (define @t41 () (@var "Y7" $$unsorted)) % 0.22/0.43 (define @t42 () (@var "X8" $$unsorted)) % 0.22/0.43 (define @t43 () (@var "X1" $$unsorted)) % 0.22/0.43 (define @t44 () (@var "Y4" $$unsorted)) % 0.22/0.43 (define @t45 () (@list @t41)) % 0.22/0.43 (define @t46 () (@var "Y5" $$unsorted)) % 0.22/0.43 (define @t47 () (@var "Y15" $$unsorted)) % 0.22/0.43 (define @t48 () (@list @t46)) % 0.22/0.43 (define @t49 () (@list @t44)) % 0.22/0.43 (define @t50 () (@var "Y6" $$unsorted)) % 0.22/0.43 (define @t51 () (@var "X9" $$unsorted)) % 0.22/0.43 (define @t52 () (@var "X2" $$unsorted)) % 0.22/0.43 (define @t53 () (@var "Y2" $$unsorted)) % 0.22/0.43 (define @t54 () (@list @t50)) % 0.22/0.43 (define @t55 () (@var "Y3" $$unsorted)) % 0.22/0.43 (define @t56 () (@var "Y14" $$unsorted)) % 0.22/0.43 (define @t57 () (@var "X10" $$unsorted)) % 0.22/0.43 (define @t58 () (@var "X3" $$unsorted)) % 0.22/0.43 (define @t59 () (@var "Y12" $$unsorted)) % 0.22/0.43 (define @t60 () (@var "Y13" $$unsorted)) % 0.22/0.43 (define @t61 () (@var "X4" $$unsorted)) % 0.22/0.43 (define @t62 () (@var "Y9" $$unsorted)) % 0.22/0.43 (define @t63 () (= @t62 @t61)) % 0.22/0.43 (define @t64 () (@var "Y16" $$unsorted)) % 0.22/0.43 (define @t65 () (tptp.r3 @t61 @t64 @t62)) % 0.22/0.43 (define @t66 () (tptp.r1 @t64)) % 0.22/0.43 (define @t67 () (and @t66 @t65)) % 0.22/0.43 (define @t68 () (@list @t64)) % 0.22/0.43 (define @t69 () (exists @t68 @t67)) % 0.22/0.43 (define @t70 () (and @t69 @t63)) % 0.22/0.43 (define @t71 () (@list @t62)) % 0.22/0.43 (define @t72 () (exists @t71 @t70)) % 0.22/0.43 (define @t73 () (forall (@list @t61) @t72)) % 0.22/0.43 (define @t74 () (@var "Y18" $$unsorted)) % 0.22/0.43 (define @t75 () (@var "Y8" $$unsorted)) % 0.22/0.43 (define @t76 () (= @t75 @t74)) % 0.22/0.43 (define @t77 () (tptp.r1 @t74)) % 0.22/0.43 (define @t78 () (and @t77 @t76)) % 0.22/0.43 (define @t79 () (@list @t74)) % 0.22/0.43 (define @t80 () (exists @t79 @t78)) % 0.22/0.43 (define @t81 () (@var "Y17" $$unsorted)) % 0.22/0.43 (define @t82 () (@var "X5" $$unsorted)) % 0.22/0.43 (define @t83 () (tptp.r4 @t82 @t81 @t75)) % 0.22/0.43 (define @t84 () (tptp.r1 @t81)) % 0.22/0.43 (define @t85 () (and @t84 @t83)) % 0.22/0.43 (define @t86 () (@list @t81)) % 0.22/0.43 (define @t87 () (exists @t86 @t85)) % 0.22/0.43 (define @t88 () (and @t87 @t80)) % 0.22/0.43 (define @t89 () (@list @t75)) % 0.22/0.43 (define @t90 () (exists @t89 @t88)) % 0.22/0.43 (define @t91 () (forall (@list @t82) @t90)) % 0.22/0.43 (define @t92 () (@var "Y11" $$unsorted)) % 0.22/0.43 (define @t93 () (@var "X6" $$unsorted)) % 0.22/0.43 (define @t94 () (@var "Y1" $$unsorted)) % 0.22/0.43 (define @t95 () (@var "Y19" $$unsorted)) % 0.22/0.43 (define @t96 () (@var "Y10" $$unsorted)) % 0.22/0.43 (define @t97 () (@var "X7" $$unsorted)) % 0.22/0.43 (define @t98 () (@var "Y20" $$unsorted)) % 0.22/0.43 (define @t99 () (= @t46 @t94)) % 0.22/0.43 (define @t100 () (tptp.r3 @t53 @t55 @t46)) % 0.22/0.43 (define @t101 () (and @t100 @t99)) % 0.22/0.43 (define @t102 () (exists @t48 @t101)) % 0.22/0.43 (define @t103 () (tptp.r2 @t75 @t41)) % 0.22/0.43 (define @t104 () (tptp.r1 @t75)) % 0.22/0.43 (define @t105 () (and @t104 @t103)) % 0.22/0.43 (define @t106 () (exists @t89 @t105)) % 0.22/0.43 (define @t107 () (tptp.r2 @t41 @t50)) % 0.22/0.43 (define @t108 () (and @t107 @t106)) % 0.22/0.43 (define @t109 () (exists @t45 @t108)) % 0.22/0.43 (define @t110 () (tptp.r4 @t50 @t53 @t44)) % 0.22/0.43 (define @t111 () (and @t110 @t109)) % 0.22/0.43 (define @t112 () (exists @t54 @t111)) % 0.22/0.43 (define @t113 () (= @t44 @t94)) % 0.22/0.43 (define @t114 () (and @t113 @t112)) % 0.22/0.43 (define @t115 () (exists @t49 @t114)) % 0.22/0.43 (define @t116 () (and @t115 @t102)) % 0.22/0.43 (define @t117 () (@list @t94 @t53 @t55)) % 0.22/0.43 (define @t118 () (exists @t117 @t116)) % 0.22/0.43 (define @t119 () (not @t118)) % 0.22/0.43 (define @t120 () (@var "BOUND_VARIABLE_8248" $$unsorted)) % 0.22/0.43 (define @t121 () (@var "BOUND_VARIABLE_8250" $$unsorted)) % 0.22/0.43 (define @t122 () (not (tptp.r2 @t121 @t120))) % 0.22/0.43 (define @t123 () (not (tptp.r1 @t121))) % 0.22/0.43 (define @t124 () (@var "BOUND_VARIABLE_8246" $$unsorted)) % 0.22/0.43 (define @t125 () (not (tptp.r2 @t120 @t124))) % 0.22/0.43 (define @t126 () (not (tptp.r4 @t124 @t53 @t94))) % 0.22/0.43 (define @t127 () (tptp.r3 @t53 @t55 @t94)) % 0.22/0.43 (define @t128 () (not @t127)) % 0.22/0.43 (define @t129 () (or @t128 @t126 @t125 @t123 @t122)) % 0.22/0.43 (define @t130 () (@list @t94 @t53 @t55 @t124 @t120 @t121)) % 0.22/0.43 (define @t131 () (or @t126 @t125 @t123 @t122)) % 0.22/0.43 (define @t132 () (or @t131 @t128)) % 0.22/0.43 (define @t133 () (forall @t130 @t132)) % 0.22/0.43 (define @t134 () (@list @t124 @t120 @t121)) % 0.22/0.43 (define @t135 () (forall @t134 @t132)) % 0.22/0.43 (define @t136 () (forall @t134 @t131)) % 0.22/0.43 (define @t137 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 0.22/0.43 (define @t138 () (@var "BOUND_VARIABLE_8198" $$unsorted)) % 0.22/0.43 (define @t139 () (@var "BOUND_VARIABLE_8196" $$unsorted)) % 0.22/0.43 (define @t140 () (@list @t139 @t138 @t137)) % 0.22/0.43 (define @t141 () (or @t136 @t128)) % 0.22/0.43 (define @t142 () (not (tptp.r2 @t137 @t138))) % 0.22/0.43 (define @t143 () (not (tptp.r1 @t137))) % 0.22/0.43 (define @t144 () (not (tptp.r2 @t138 @t139))) % 0.22/0.43 (define @t145 () (not (tptp.r4 @t139 @t53 @t94))) % 0.22/0.43 (define @t146 () (or @t145 @t144 @t143 @t142)) % 0.22/0.43 (define @t147 () (@list @t139 @t138 @t137)) % 0.22/0.43 (define @t148 () (forall @t147 @t146)) % 0.22/0.43 (define @t149 () (not @t148)) % 0.22/0.43 (define @t150 () (and @t149 @t127)) % 0.22/0.43 (define @t151 () (forall @t117 (not @t150))) % 0.22/0.43 (define @t152 () (not @t151)) % 0.22/0.43 (define @t153 () (not (= @t94 @t94))) % 0.22/0.43 (define @t154 () (or @t128 @t153)) % 0.22/0.43 (define @t155 () (not @t99)) % 0.22/0.43 (define @t156 () (not @t100)) % 0.22/0.43 (define @t157 () (or @t155 @t156 @t155)) % 0.22/0.43 (define @t158 () (or @t156 @t155)) % 0.22/0.43 (define @t159 () (forall @t48 (not @t101))) % 0.22/0.43 (define @t160 () (not @t159)) % 0.22/0.43 (define @t161 () (or @t153 @t145 @t144 @t143 @t142)) % 0.22/0.43 (define @t162 () (not (tptp.r4 @t139 @t53 @t44))) % 0.22/0.43 (define @t163 () (not @t113)) % 0.22/0.43 (define @t164 () (or @t163 @t163 @t162 @t144 @t143 @t142)) % 0.22/0.43 (define @t165 () (or @t163 @t162 @t144 @t143 @t142)) % 0.22/0.43 (define @t166 () (forall @t49 @t165)) % 0.22/0.43 (define @t167 () (forall @t147 @t166)) % 0.22/0.43 (define @t168 () (forall (@list @t139 @t138 @t137 @t44) @t165)) % 0.22/0.43 (define @t169 () (@list @t44 @t139 @t138 @t137)) % 0.22/0.43 (define @t170 () (or @t162 @t144 @t143 @t142)) % 0.22/0.43 (define @t171 () (or @t163 @t170)) % 0.22/0.43 (define @t172 () (forall @t169 @t171)) % 0.22/0.43 (define @t173 () (forall @t147 @t171)) % 0.22/0.43 (define @t174 () (forall @t147 @t170)) % 0.22/0.43 (define @t175 () (@var "BOUND_VARIABLE_8173" $$unsorted)) % 0.22/0.43 (define @t176 () (@var "BOUND_VARIABLE_8171" $$unsorted)) % 0.22/0.43 (define @t177 () (or @t163 @t174)) % 0.22/0.43 (define @t178 () (not (tptp.r2 @t175 @t176))) % 0.22/0.43 (define @t179 () (not (tptp.r1 @t175))) % 0.22/0.43 (define @t180 () (not (tptp.r2 @t176 @t50))) % 0.22/0.43 (define @t181 () (not @t110)) % 0.22/0.43 (define @t182 () (or @t181 @t180 @t179 @t178)) % 0.22/0.43 (define @t183 () (@list @t50 @t176 @t175)) % 0.22/0.43 (define @t184 () (forall @t183 @t182)) % 0.22/0.43 (define @t185 () (not @t184)) % 0.22/0.43 (define @t186 () (and @t113 @t185)) % 0.22/0.43 (define @t187 () (forall @t49 (not @t186))) % 0.22/0.43 (define @t188 () (not @t187)) % 0.22/0.43 (define @t189 () (or @t180 @t179 @t178)) % 0.22/0.43 (define @t190 () (or @t181 @t189)) % 0.22/0.43 (define @t191 () (forall @t183 @t190)) % 0.22/0.43 (define @t192 () (@list @t176 @t175)) % 0.22/0.43 (define @t193 () (forall @t192 @t190)) % 0.22/0.43 (define @t194 () (forall @t192 @t189)) % 0.22/0.43 (define @t195 () (@var "BOUND_VARIABLE_8150" $$unsorted)) % 0.22/0.43 (define @t196 () (or @t181 @t194)) % 0.22/0.43 (define @t197 () (not (tptp.r2 @t195 @t41))) % 0.22/0.43 (define @t198 () (not (tptp.r1 @t195))) % 0.22/0.43 (define @t199 () (not @t107)) % 0.22/0.43 (define @t200 () (or @t199 @t198 @t197)) % 0.22/0.43 (define @t201 () (@list @t41 @t195)) % 0.22/0.43 (define @t202 () (forall @t201 @t200)) % 0.22/0.43 (define @t203 () (not @t202)) % 0.22/0.43 (define @t204 () (and @t110 @t203)) % 0.22/0.43 (define @t205 () (forall @t54 (not @t204))) % 0.22/0.43 (define @t206 () (not @t205)) % 0.22/0.43 (define @t207 () (or @t198 @t197)) % 0.22/0.43 (define @t208 () (or @t199 @t207)) % 0.22/0.43 (define @t209 () (forall @t201 @t208)) % 0.22/0.43 (define @t210 () (@list @t195)) % 0.22/0.43 (define @t211 () (forall @t210 @t208)) % 0.22/0.43 (define @t212 () (forall @t210 @t207)) % 0.22/0.43 (define @t213 () (or @t199 @t212)) % 0.22/0.43 (define @t214 () (not @t104)) % 0.22/0.43 (define @t215 () (forall @t89 (or @t214 (not @t103)))) % 0.22/0.43 (define @t216 () (not @t215)) % 0.22/0.43 (define @t217 () (and @t107 @t216)) % 0.22/0.43 (define @t218 () (forall @t45 (not @t217))) % 0.22/0.43 (define @t219 () (not @t218)) % 0.22/0.43 (define @t220 () (forall @t89 (not @t105))) % 0.22/0.43 (define @t221 () (not @t220)) % 0.22/0.43 (define @t222 () (tptp.r1 @t1)) % 0.22/0.43 (define @t223 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 0.22/0.43 (define @t224 () (tptp.r1 @t223)) % 0.22/0.43 (define @t225 () (not @t224)) % 0.22/0.43 (define @t226 () (@list @t223)) % 0.22/0.43 (define @t227 () (forall @t226 (or @t225 (and @t224 (= @t1 @t223))))) % 0.22/0.43 (define @t228 () (forall @t12 (or (not @t227) (not @t222)))) % 0.22/0.43 (define @t229 () (@quantifiers_skolemize @t228 0)) % 0.22/0.43 (define @t230 () (@var "BOUND_VARIABLE_7690" $$unsorted)) % 0.22/0.43 (define @t231 () (= @t14 @t230)) % 0.22/0.43 (define @t232 () (tptp.r2 @t229 @t230)) % 0.22/0.43 (define @t233 () (not @t232)) % 0.22/0.43 (define @t234 () (@list @t230)) % 0.22/0.43 (define @t235 () (forall @t26 (or (not (forall @t234 (or @t233 (and @t232 @t231)))) (not (tptp.r2 @t229 @t14))))) % 0.22/0.43 (define @t236 () (@quantifiers_skolemize @t235 0)) % 0.22/0.43 (define @t237 () (tptp.r2 @t236 @t230)) % 0.22/0.43 (define @t238 () (not @t237)) % 0.22/0.43 (define @t239 () (forall @t26 (or (not (forall @t234 (or @t238 (and @t237 @t231)))) (not (tptp.r2 @t236 @t14))))) % 0.22/0.43 (define @t240 () (@quantifiers_skolemize @t239 0)) % 0.22/0.43 (define @t241 () (tptp.r2 @t17 @t230)) % 0.22/0.43 (define @t242 () (forall @t234 (or (not @t241) (and @t241 @t231)))) % 0.22/0.43 (define @t243 () (tptp.r2 @t17 @t14)) % 0.22/0.43 (define @t244 () (and @t242 @t243)) % 0.22/0.43 (define @t245 () (forall @t26 (not @t244))) % 0.22/0.43 (define @t246 () (not @t245)) % 0.22/0.43 (define @t247 () (= @t14 @t14)) % 0.22/0.43 (define @t248 () (and @t243 @t247)) % 0.22/0.43 (define @t249 () (not @t247)) % 0.22/0.43 (define @t250 () (or @t249 @t248)) % 0.22/0.43 (define @t251 () (@var "BOUND_VARIABLE_7699" $$unsorted)) % 0.22/0.43 (define @t252 () (= @t14 @t251)) % 0.22/0.43 (define @t253 () (and (tptp.r2 @t17 @t251) @t252)) % 0.22/0.43 (define @t254 () (not @t252)) % 0.22/0.43 (define @t255 () (@list @t251)) % 0.22/0.43 (define @t256 () (or @t254 @t254 @t253)) % 0.22/0.43 (define @t257 () (or @t254 @t253)) % 0.22/0.43 (define @t258 () (forall @t255 @t257)) % 0.22/0.43 (define @t259 () (= @t14 @t15)) % 0.22/0.43 (define @t260 () (and @t18 @t259)) % 0.22/0.43 (define @t261 () (not @t259)) % 0.22/0.43 (define @t262 () (or @t261 @t260)) % 0.22/0.43 (define @t263 () (forall @t24 @t262)) % 0.22/0.43 (define @t264 () (@list @t15)) % 0.22/0.43 (define @t265 () (or @t21 @t260)) % 0.22/0.43 (define @t266 () (forall @t24 @t265)) % 0.22/0.43 (define @t267 () (and @t266 @t263)) % 0.22/0.43 (define @t268 () (tptp.r2 @t236 @t240)) % 0.22/0.43 (define @t269 () (not @t268)) % 0.22/0.43 (define @t270 () (or (not (forall @t234 (or @t238 (and @t237 (= @t230 @t240))))) @t269)) % 0.22/0.43 (define @t271 () (not @t270)) % 0.22/0.43 (define @t272 () (not @t239)) % 0.22/0.43 (define @t273 () (and @t237 (= @t240 @t230))) % 0.22/0.43 (define @t274 () (or @t238 @t273)) % 0.22/0.43 (define @t275 () (forall @t234 @t274)) % 0.22/0.43 (define @t276 () (not @t275)) % 0.22/0.43 (define @t277 () (or @t276 @t269)) % 0.22/0.43 (define @t278 () (not @t277)) % 0.22/0.43 (define @t279 () (@list true)) % 0.22/0.43 (define @t280 () (@list @t229)) % 0.22/0.43 (define @t281 () (tptp.r2 @t229 @t236)) % 0.22/0.43 (define @t282 () (not @t281)) % 0.22/0.43 (define @t283 () (or (not (forall @t234 (or @t233 (and @t232 (= @t230 @t236))))) @t282)) % 0.22/0.43 (define @t284 () (not @t283)) % 0.22/0.43 (define @t285 () (not @t235)) % 0.22/0.43 (define @t286 () (and @t232 (= @t236 @t230))) % 0.22/0.43 (define @t287 () (or @t233 @t286)) % 0.22/0.43 (define @t288 () (forall @t234 @t287)) % 0.22/0.43 (define @t289 () (not @t288)) % 0.22/0.43 (define @t290 () (or @t289 @t282)) % 0.22/0.43 (define @t291 () (not @t290)) % 0.22/0.43 (define @t292 () (@var "BOUND_VARIABLE_8022" $$unsorted)) % 0.22/0.43 (define @t293 () (not (tptp.r3 @t61 @t292 @t61))) % 0.22/0.43 (define @t294 () (not (tptp.r1 @t292))) % 0.22/0.43 (define @t295 () (not (= @t61 @t61))) % 0.22/0.43 (define @t296 () (or @t295 @t294 @t293)) % 0.22/0.43 (define @t297 () (@list @t292)) % 0.22/0.43 (define @t298 () (not (tptp.r3 @t61 @t292 @t62))) % 0.22/0.43 (define @t299 () (= @t61 @t62)) % 0.22/0.43 (define @t300 () (not @t299)) % 0.22/0.43 (define @t301 () (or @t300 @t300 @t294 @t298)) % 0.22/0.43 (define @t302 () (or @t300 @t294 @t298)) % 0.22/0.43 (define @t303 () (forall @t71 @t302)) % 0.22/0.43 (define @t304 () (forall @t297 @t303)) % 0.22/0.43 (define @t305 () (forall (@list @t292 @t62) @t302)) % 0.22/0.43 (define @t306 () (@list @t62 @t292)) % 0.22/0.43 (define @t307 () (or @t294 @t298)) % 0.22/0.43 (define @t308 () (or @t307 @t300)) % 0.22/0.43 (define @t309 () (forall @t306 @t308)) % 0.22/0.43 (define @t310 () (forall @t297 @t308)) % 0.22/0.43 (define @t311 () (forall @t297 @t307)) % 0.22/0.43 (define @t312 () (or @t311 @t300)) % 0.22/0.43 (define @t313 () (forall @t68 (or (not @t66) (not @t65)))) % 0.22/0.43 (define @t314 () (not @t313)) % 0.22/0.43 (define @t315 () (and @t314 @t299)) % 0.22/0.43 (define @t316 () (forall @t71 (not @t315))) % 0.22/0.43 (define @t317 () (not @t316)) % 0.22/0.43 (define @t318 () (forall @t68 (not @t67))) % 0.22/0.43 (define @t319 () (not @t318)) % 0.22/0.43 (define @t320 () (@quantifiers_skolemize (forall @t297 (or @t294 (not (tptp.r3 @t229 @t292 @t229)))) 0)) % 0.22/0.43 (define @t321 () (tptp.r3 @t229 @t320 @t229)) % 0.22/0.43 (define @t322 () (not @t321)) % 0.22/0.43 (define @t323 () (tptp.r1 @t320)) % 0.22/0.43 (define @t324 () (not @t323)) % 0.22/0.43 (define @t325 () (or @t324 @t322)) % 0.22/0.43 (define @t326 () (@list @t325)) % 0.22/0.43 (define @t327 () (and @t227 @t222)) % 0.22/0.43 (define @t328 () (forall @t12 (not @t327))) % 0.22/0.43 (define @t329 () (not @t328)) % 0.22/0.43 (define @t330 () (= @t1 @t1)) % 0.22/0.43 (define @t331 () (and @t222 @t330)) % 0.22/0.43 (define @t332 () (not @t330)) % 0.22/0.43 (define @t333 () (or @t332 @t331)) % 0.22/0.43 (define @t334 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 0.22/0.43 (define @t335 () (= @t1 @t334)) % 0.22/0.43 (define @t336 () (and (tptp.r1 @t334) @t335)) % 0.22/0.43 (define @t337 () (not @t335)) % 0.22/0.43 (define @t338 () (@list @t334)) % 0.22/0.43 (define @t339 () (or @t337 @t337 @t336)) % 0.22/0.43 (define @t340 () (or @t337 @t336)) % 0.22/0.43 (define @t341 () (forall @t338 @t340)) % 0.22/0.43 (define @t342 () (= @t1 @t2)) % 0.22/0.43 (define @t343 () (and @t4 @t342)) % 0.22/0.43 (define @t344 () (not @t342)) % 0.22/0.43 (define @t345 () (or @t344 @t343)) % 0.22/0.43 (define @t346 () (forall @t10 @t345)) % 0.22/0.43 (define @t347 () (@list @t2)) % 0.22/0.43 (define @t348 () (or @t7 @t343)) % 0.22/0.43 (define @t349 () (forall @t10 @t348)) % 0.22/0.43 (define @t350 () (and @t349 @t346)) % 0.22/0.43 (define @t351 () (tptp.r1 @t229)) % 0.22/0.43 (define @t352 () (not @t351)) % 0.22/0.43 (define @t353 () (forall @t226 (or @t225 (and @t224 (= @t223 @t229))))) % 0.22/0.43 (define @t354 () (not @t353)) % 0.22/0.43 (define @t355 () (or @t354 @t352)) % 0.22/0.43 (define @t356 () (not @t355)) % 0.22/0.43 (define @t357 () (not @t228)) % 0.22/0.43 (define @t358 () (and @t224 (= @t229 @t223))) % 0.22/0.43 (define @t359 () (or @t225 @t358)) % 0.22/0.43 (define @t360 () (forall @t226 @t359)) % 0.22/0.43 (define @t361 () (not @t360)) % 0.22/0.43 (define @t362 () (or @t361 @t352)) % 0.22/0.43 (define @t363 () (not @t362)) % 0.22/0.43 (define @t364 () (@list @t355)) % 0.22/0.43 (define @t365 () (and @t323 (= @t320 @t229))) % 0.22/0.43 (define @t366 () (or @t324 @t365)) % 0.22/0.43 (define @t367 () (= @t229 @t320)) % 0.22/0.43 (define @t368 () (and @t323 @t367)) % 0.22/0.43 (define @t369 () (or @t324 @t368)) % 0.22/0.43 (define @t370 () (@list false)) % 0.22/0.43 (define @t371 () (@list @t353)) % 0.22/0.43 (define @t372 () (@list false false)) % 0.22/0.43 (define @t373 () (tptp.r3 @t229 @t229 @t229)) % 0.22/0.43 (define @t374 () (not (tptp.r4 @t240 @t229 @t229))) % 0.22/0.43 (define @t375 () (not @t373)) % 0.22/0.43 (define @t376 () (or @t375 @t374 @t269 @t352 @t282)) % 0.22/0.43 (define @t377 () (@var "BOUND_VARIABLE_8075" $$unsorted)) % 0.22/0.43 (define @t378 () (not (tptp.r1 @t377))) % 0.22/0.43 (define @t379 () (@list @t75 @t377)) % 0.22/0.43 (define @t380 () (forall @t379 (or @t214 @t378 (not (tptp.r4 @t240 @t377 @t75))))) % 0.22/0.43 (define @t381 () (@quantifiers_skolemize @t380 0)) % 0.22/0.43 (define @t382 () (tptp.r1 @t381)) % 0.22/0.43 (define @t383 () (and @t382 (= @t381 @t229))) % 0.22/0.43 (define @t384 () (not @t382)) % 0.22/0.43 (define @t385 () (or @t384 @t383)) % 0.22/0.43 (define @t386 () (= @t229 @t381)) % 0.22/0.43 (define @t387 () (and @t382 @t386)) % 0.22/0.43 (define @t388 () (or @t384 @t387)) % 0.22/0.43 (define @t389 () (not (tptp.r4 @t82 @t377 @t75))) % 0.22/0.43 (define @t390 () (or @t378 @t389)) % 0.22/0.43 (define @t391 () (or @t390 @t214)) % 0.22/0.43 (define @t392 () (forall @t379 @t391)) % 0.22/0.43 (define @t393 () (@list @t377)) % 0.22/0.43 (define @t394 () (forall @t393 @t391)) % 0.22/0.43 (define @t395 () (forall @t393 @t390)) % 0.22/0.43 (define @t396 () (or @t395 @t214)) % 0.22/0.43 (define @t397 () (forall @t86 (or (not @t84) (not @t83)))) % 0.22/0.43 (define @t398 () (not @t397)) % 0.22/0.43 (define @t399 () (and @t398 @t104)) % 0.22/0.43 (define @t400 () (forall @t89 (not @t399))) % 0.22/0.43 (define @t401 () (not @t400)) % 0.22/0.43 (define @t402 () (not (= @t75 @t75))) % 0.22/0.43 (define @t403 () (or @t214 @t402)) % 0.22/0.43 (define @t404 () (not @t76)) % 0.22/0.43 (define @t405 () (not @t77)) % 0.22/0.43 (define @t406 () (or @t404 @t405 @t404)) % 0.22/0.43 (define @t407 () (or @t405 @t404)) % 0.22/0.43 (define @t408 () (forall @t79 (not @t78))) % 0.22/0.43 (define @t409 () (not @t408)) % 0.22/0.43 (define @t410 () (forall @t86 (not @t85))) % 0.22/0.43 (define @t411 () (not @t410)) % 0.22/0.43 (define @t412 () (@quantifiers_skolemize @t380 1)) % 0.22/0.43 (define @t413 () (tptp.r4 @t240 @t412 @t381)) % 0.22/0.43 (define @t414 () (not @t413)) % 0.22/0.43 (define @t415 () (tptp.r1 @t412)) % 0.22/0.43 (define @t416 () (not @t415)) % 0.22/0.43 (define @t417 () (or @t384 @t416 @t414)) % 0.22/0.43 (define @t418 () (@list @t417)) % 0.22/0.43 (define @t419 () (and @t415 (= @t412 @t229))) % 0.22/0.43 (define @t420 () (or @t416 @t419)) % 0.22/0.43 (define @t421 () (= @t229 @t412)) % 0.22/0.43 (define @t422 () (and @t415 @t421)) % 0.22/0.43 (define @t423 () (or @t416 @t422)) % 0.22/0.43 (assume @p1 @t13) % 0.22/0.43 (assume @p2 @t28) % 0.22/0.43 (assume @p3 (forall (@list @t33 @t32) (exists (@list @t29) (forall (@list @t30) (or (and (not @t34) (not @t31)) (and @t34 @t31)))))) % 0.22/0.43 (assume @p4 (forall (@list @t39 @t38) (exists (@list @t35) (forall (@list @t36) (or (and (not @t40) (not @t37)) (and @t40 @t37)))))) % 0.22/0.43 (assume @p5 (forall (@list @t43 @t42) (exists @t49 (and (exists @t48 (and (exists (@list @t47) (and (tptp.r2 @t42 @t47) (tptp.r3 @t43 @t47 @t46))) (= @t46 @t44))) (exists @t45 (and (tptp.r2 @t41 @t44) (tptp.r3 @t43 @t42 @t41))))))) % 0.22/0.43 (assume @p6 (forall (@list @t52 @t51) (exists (@list @t53) (and (exists (@list @t55) (and (exists (@list @t56) (and (tptp.r2 @t51 @t56) (tptp.r4 @t52 @t56 @t55))) (= @t55 @t53))) (exists @t54 (and (tptp.r3 @t50 @t52 @t53) (tptp.r4 @t52 @t51 @t50))))))) % 0.22/0.43 (assume @p7 (forall (@list @t58 @t57) (or (forall (@list @t59) (or (forall (@list @t60) (or (not (tptp.r2 @t58 @t60)) (not (= @t60 @t59)))) (not (tptp.r2 @t57 @t59)))) (= @t58 @t57)))) % 0.22/0.43 (assume @p8 @t73) % 0.22/0.43 (assume @p9 @t91) % 0.22/0.43 (assume @p10 (forall (@list @t93) (or (exists (@list @t95) (and (tptp.r1 @t95) (= @t93 @t95))) (exists (@list @t94 @t92) (and (tptp.r2 @t94 @t92) (= @t93 @t92)))))) % 0.22/0.43 (assume @p11 (forall (@list @t97 @t96) (or (forall (@list @t98) (or (not (tptp.r1 @t98)) (not (= @t98 @t96)))) (not (tptp.r2 @t97 @t96))))) % 0.22/0.43 (assume @p12 @t119) % 0.22/0.43 (assume @p13 true) % 0.22/0.43 (step @p14 :rule evaluate :args ((= true false))) % 0.22/0.43 (step @p15 :rule bool-double-not-elim :args ((forall @t130 @t129))) % 0.22/0.43 (step @p16 :rule aci_norm :args ((= @t132 @t129))) % 0.22/0.43 (step @p17 :rule cong :premises (@p16) :args (@t133)) % 0.22/0.43 (step @p18 :rule quant-merge-prenex :args ((= (forall @t117 @t135) @t133))) % 0.22/0.43 (step @p19 :rule refl :args (@t128)) % 0.22/0.43 (step @p20 :rule alpha_equiv :args (@t136 (@list @t124 @t120 @t121) @t140)) % 0.22/0.43 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t141)) % 0.22/0.43 (step @p22 :rule quant-miniscope-or :args ((= @t135 @t141))) % 0.22/0.43 (step @p23 :rule trans :premises (@p22 @p21)) % 0.22/0.43 (step @p24 :rule symm :premises (@p23)) % 0.22/0.43 (step @p25 :rule cong :premises (@p24) :args ((forall @t117 (or @t148 @t128)))) % 0.22/0.43 (step @p26 :rule trans :premises (@p25 @p18)) % 0.22/0.43 (step @p27 :rule trans :premises (@p26 @p17)) % 0.22/0.43 (step @p28 :rule bool-double-not-elim :args (@t148)) % 0.22/0.43 (step @p29 :rule nary_cong :premises (@p28 @p19) :args ((or (not @t149) @t128))) % 0.22/0.43 (step @p30 :rule bool-and-de-morgan :args (@t149 @t127 true)) % 0.22/0.43 (step @p31 :rule trans :premises (@p30 @p29)) % 0.22/0.43 (step @p32 :rule cong :premises (@p31) :args (@t151)) % 0.22/0.43 (step @p33 :rule trans :premises (@p32 @p27)) % 0.22/0.43 (step @p34 :rule cong :premises (@p33) :args (@t152)) % 0.22/0.43 (step @p35 :rule exists-elim :args ((= (exists @t117 @t150) @t152))) % 0.22/0.43 (step @p36 :rule trans :premises (@p35 @p34)) % 0.22/0.43 (step @p37 :rule bool-double-not-elim :args (@t127)) % 0.22/0.43 (step @p38 :rule aci_norm :args ((= (or @t128 false) @t128))) % 0.22/0.43 (step @p39 :rule evaluate :args ((not true))) % 0.22/0.43 (step @p40 :rule eq-refl :args (@t94)) % 0.22/0.43 (step @p41 :rule cong :premises (@p40) :args (@t153)) % 0.22/0.43 (step @p42 :rule trans :premises (@p41 @p39)) % 0.22/0.43 (step @p43 :rule refl :args (@t128)) % 0.22/0.43 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t154)) % 0.22/0.43 (step @p45 :rule trans :premises (@p44 @p38)) % 0.22/0.43 (step @p46 :rule quant-var-elim-eq :args ((= (forall @t48 @t157) @t154))) % 0.22/0.43 (step @p47 :rule aci_norm :args ((= @t158 @t157))) % 0.22/0.43 (step @p48 :rule cong :premises (@p47) :args ((forall @t48 @t158))) % 0.22/0.43 (step @p49 :rule trans :premises (@p48 @p46)) % 0.22/0.43 (step @p50 :rule trans :premises (@p49 @p45)) % 0.22/0.43 (step @p51 :rule bool-and-de-morgan :args (@t100 @t99 true)) % 0.22/0.43 (step @p52 :rule cong :premises (@p51) :args (@t159)) % 0.22/0.43 (step @p53 :rule trans :premises (@p52 @p50)) % 0.22/0.43 (step @p54 :rule cong :premises (@p53) :args (@t160)) % 0.22/0.43 (step @p55 :rule trans :premises (@p54 @p37)) % 0.22/0.43 (step @p56 :rule exists-elim :args ((= @t102 @t160))) % 0.22/0.43 (step @p57 :rule trans :premises (@p56 @p55)) % 0.22/0.43 (step @p58 :rule aci_norm :args ((= (or false @t145 @t144 @t143 @t142) @t146))) % 0.22/0.43 (step @p59 :rule refl :args (@t142)) % 0.22/0.43 (step @p60 :rule refl :args (@t143)) % 0.22/0.43 (step @p61 :rule refl :args (@t144)) % 0.22/0.43 (step @p62 :rule refl :args (@t145)) % 0.22/0.43 (step @p63 :rule nary_cong :premises (@p42 @p62 @p61 @p60 @p59) :args (@t161)) % 0.22/0.43 (step @p64 :rule trans :premises (@p63 @p58)) % 0.22/0.43 (step @p65 :rule cong :premises (@p64) :args ((forall @t147 @t161))) % 0.22/0.43 (step @p66 :rule quant-var-elim-eq :args ((= (forall @t49 @t164) @t161))) % 0.22/0.43 (step @p67 :rule aci_norm :args ((= @t165 @t164))) % 0.22/0.43 (step @p68 :rule cong :premises (@p67) :args (@t166)) % 0.22/0.43 (step @p69 :rule trans :premises (@p68 @p66)) % 0.22/0.43 (step @p70 :rule cong :premises (@p69) :args (@t167)) % 0.22/0.43 (step @p71 :rule quant-merge-prenex :args ((= @t167 @t168))) % 0.22/0.43 (step @p72 :rule symm :premises (@p71)) % 0.22/0.43 (step @p73 :rule quant_var_reordering :args ((= (forall @t169 @t165) @t168))) % 0.22/0.43 (step @p74 :rule trans :premises (@p73 @p72 @p70)) % 0.22/0.43 (step @p75 :rule trans :premises (@p74 @p65)) % 0.22/0.43 (step @p76 :rule aci_norm :args ((= @t171 @t165))) % 0.22/0.43 (step @p77 :rule cong :premises (@p76) :args (@t172)) % 0.22/0.43 (step @p78 :rule trans :premises (@p77 @p75)) % 0.22/0.43 (step @p79 :rule quant-merge-prenex :args ((= (forall @t49 @t173) @t172))) % 0.22/0.43 (step @p80 :rule alpha_equiv :args (@t174 @t140 (@list @t50 @t176 @t175))) % 0.22/0.43 (step @p81 :rule refl :args (@t163)) % 0.22/0.43 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t177)) % 0.22/0.43 (step @p83 :rule quant-miniscope-or :args ((= @t173 @t177))) % 0.22/0.43 (step @p84 :rule trans :premises (@p83 @p82)) % 0.22/0.43 (step @p85 :rule symm :premises (@p84)) % 0.22/0.43 (step @p86 :rule cong :premises (@p85) :args ((forall @t49 (or @t163 @t184)))) % 0.22/0.43 (step @p87 :rule trans :premises (@p86 @p79)) % 0.22/0.43 (step @p88 :rule trans :premises (@p87 @p78)) % 0.22/0.43 (step @p89 :rule bool-double-not-elim :args (@t184)) % 0.22/0.43 (step @p90 :rule nary_cong :premises (@p81 @p89) :args ((or @t163 (not @t185)))) % 0.22/0.43 (step @p91 :rule bool-and-de-morgan :args (@t113 @t185 true)) % 0.22/0.43 (step @p92 :rule trans :premises (@p91 @p90)) % 0.22/0.43 (step @p93 :rule cong :premises (@p92) :args (@t187)) % 0.22/0.43 (step @p94 :rule trans :premises (@p93 @p88)) % 0.22/0.43 (step @p95 :rule cong :premises (@p94) :args (@t188)) % 0.22/0.43 (step @p96 :rule exists-elim :args ((= (exists @t49 @t186) @t188))) % 0.22/0.43 (step @p97 :rule trans :premises (@p96 @p95)) % 0.22/0.43 (step @p98 :rule aci_norm :args ((= @t190 @t182))) % 0.22/0.43 (step @p99 :rule cong :premises (@p98) :args (@t191)) % 0.22/0.43 (step @p100 :rule quant-merge-prenex :args ((= (forall @t54 @t193) @t191))) % 0.22/0.43 (step @p101 :rule alpha_equiv :args (@t194 (@list @t176 @t175) (@list @t41 @t195))) % 0.22/0.43 (step @p102 :rule refl :args (@t181)) % 0.22/0.43 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t196)) % 0.22/0.43 (step @p104 :rule quant-miniscope-or :args ((= @t193 @t196))) % 0.22/0.43 (step @p105 :rule trans :premises (@p104 @p103)) % 0.22/0.43 (step @p106 :rule symm :premises (@p105)) % 0.22/0.43 (step @p107 :rule cong :premises (@p106) :args ((forall @t54 (or @t181 @t202)))) % 0.22/0.43 (step @p108 :rule trans :premises (@p107 @p100)) % 0.22/0.43 (step @p109 :rule trans :premises (@p108 @p99)) % 0.22/0.43 (step @p110 :rule bool-double-not-elim :args (@t202)) % 0.22/0.43 (step @p111 :rule nary_cong :premises (@p102 @p110) :args ((or @t181 (not @t203)))) % 0.22/0.43 (step @p112 :rule bool-and-de-morgan :args (@t110 @t203 true)) % 0.22/0.43 (step @p113 :rule trans :premises (@p112 @p111)) % 0.22/0.43 (step @p114 :rule cong :premises (@p113) :args (@t205)) % 0.22/0.43 (step @p115 :rule trans :premises (@p114 @p109)) % 0.22/0.43 (step @p116 :rule cong :premises (@p115) :args (@t206)) % 0.22/0.43 (step @p117 :rule exists-elim :args ((= (exists @t54 @t204) @t206))) % 0.22/0.43 (step @p118 :rule trans :premises (@p117 @p116)) % 0.22/0.43 (step @p119 :rule aci_norm :args ((= @t208 @t200))) % 0.22/0.43 (step @p120 :rule cong :premises (@p119) :args (@t209)) % 0.22/0.43 (step @p121 :rule quant-merge-prenex :args ((= (forall @t45 @t211) @t209))) % 0.22/0.43 (step @p122 :rule alpha_equiv :args (@t212 (@list @t195) (@list @t75))) % 0.22/0.43 (step @p123 :rule refl :args (@t199)) % 0.22/0.43 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t213)) % 0.22/0.43 (step @p125 :rule quant-miniscope-or :args ((= @t211 @t213))) % 0.22/0.43 (step @p126 :rule trans :premises (@p125 @p124)) % 0.22/0.43 (step @p127 :rule symm :premises (@p126)) % 0.22/0.43 (step @p128 :rule cong :premises (@p127) :args ((forall @t45 (or @t199 @t215)))) % 0.22/0.43 (step @p129 :rule trans :premises (@p128 @p121)) % 0.22/0.43 (step @p130 :rule trans :premises (@p129 @p120)) % 0.22/0.43 (step @p131 :rule bool-double-not-elim :args (@t215)) % 0.22/0.43 (step @p132 :rule nary_cong :premises (@p123 @p131) :args ((or @t199 (not @t216)))) % 0.22/0.43 (step @p133 :rule bool-and-de-morgan :args (@t107 @t216 true)) % 0.22/0.43 (step @p134 :rule trans :premises (@p133 @p132)) % 0.22/0.43 (step @p135 :rule cong :premises (@p134) :args (@t218)) % 0.22/0.43 (step @p136 :rule trans :premises (@p135 @p130)) % 0.22/0.43 (step @p137 :rule cong :premises (@p136) :args (@t219)) % 0.22/0.43 (step @p138 :rule exists-elim :args ((= (exists @t45 @t217) @t219))) % 0.22/0.43 (step @p139 :rule trans :premises (@p138 @p137)) % 0.22/0.43 (step @p140 :rule bool-and-de-morgan :args (@t104 @t103 true)) % 0.22/0.43 (step @p141 :rule cong :premises (@p140) :args (@t220)) % 0.22/0.43 (step @p142 :rule cong :premises (@p141) :args (@t221)) % 0.22/0.43 (step @p143 :rule exists-elim :args ((= @t106 @t221))) % 0.22/0.43 (step @p144 :rule trans :premises (@p143 @p142)) % 0.22/0.43 (step @p145 :rule refl :args (@t107)) % 0.22/0.43 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t108)) % 0.22/0.43 (step @p147 :rule cong :premises (@p146) :args (@t109)) % 0.22/0.43 (step @p148 :rule trans :premises (@p147 @p139)) % 0.22/0.43 (step @p149 :rule refl :args (@t110)) % 0.22/0.43 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t111)) % 0.22/0.43 (step @p151 :rule cong :premises (@p150) :args (@t112)) % 0.22/0.43 (step @p152 :rule trans :premises (@p151 @p118)) % 0.22/0.43 (step @p153 :rule refl :args (@t113)) % 0.22/0.43 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t114)) % 0.22/0.43 (step @p155 :rule cong :premises (@p154) :args (@t115)) % 0.22/0.43 (step @p156 :rule trans :premises (@p155 @p97)) % 0.22/0.43 (step @p157 :rule nary_cong :premises (@p156 @p57) :args (@t116)) % 0.22/0.43 (step @p158 :rule cong :premises (@p157) :args (@t118)) % 0.22/0.43 (step @p159 :rule trans :premises (@p158 @p36)) % 0.22/0.43 (step @p160 :rule cong :premises (@p159) :args (@t119)) % 0.22/0.43 (step @p161 :rule trans :premises (@p160 @p15)) % 0.22/0.43 (step @p162 :rule eq_resolve :premises (@p12 @p161)) % 0.22/0.43 (step @p163 :rule instantiate :premises (@p162) :args ((@list @t229 @t229 @t229 @t240 @t236 @t229))) % 0.22/0.43 (step @p164 :rule bool-and-de-morgan :args (@t242 @t243 true)) % 0.22/0.43 (step @p165 :rule cong :premises (@p164) :args (@t245)) % 0.22/0.43 (step @p166 :rule cong :premises (@p165) :args (@t246)) % 0.22/0.43 (step @p167 :rule exists-elim :args ((= (exists @t26 @t244) @t246))) % 0.22/0.43 (step @p168 :rule trans :premises (@p167 @p166)) % 0.22/0.43 (step @p169 :rule aci_norm :args ((= (or false @t243) @t243))) % 0.22/0.43 (step @p170 :rule aci_norm :args ((= (and @t243 true) @t243))) % 0.22/0.43 (step @p171 :rule eq-refl :args (@t14)) % 0.22/0.43 (step @p172 :rule refl :args (@t243)) % 0.22/0.43 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t248)) % 0.22/0.43 (step @p174 :rule trans :premises (@p173 @p170)) % 0.22/0.43 (step @p175 :rule cong :premises (@p171) :args (@t249)) % 0.22/0.43 (step @p176 :rule trans :premises (@p175 @p39)) % 0.22/0.43 (step @p177 :rule nary_cong :premises (@p176 @p174) :args (@t250)) % 0.22/0.43 (step @p178 :rule trans :premises (@p177 @p169)) % 0.22/0.43 (step @p179 :rule quant-var-elim-eq :args ((= (forall @t255 (or (not (= @t251 @t14)) @t254 @t253)) @t250))) % 0.22/0.43 (step @p180 :rule refl :args (@t253)) % 0.22/0.43 (step @p181 :rule refl :args (@t254)) % 0.22/0.43 (step @p182 :rule eq-symm :args (@t14 @t251)) % 0.22/0.43 (step @p183 :rule cong :premises (@p182) :args (@t254)) % 0.22/0.43 (step @p184 :rule nary_cong :premises (@p183 @p181 @p180) :args (@t256)) % 0.22/0.43 (step @p185 :rule aci_norm :args ((= @t257 @t256))) % 0.22/0.43 (step @p186 :rule trans :premises (@p185 @p184)) % 0.22/0.43 (step @p187 :rule cong :premises (@p186) :args (@t258)) % 0.22/0.43 (step @p188 :rule trans :premises (@p187 @p179)) % 0.22/0.43 (step @p189 :rule trans :premises (@p188 @p178)) % 0.22/0.43 (step @p190 :rule refl :args (@t242)) % 0.22/0.43 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((and @t242 @t258))) % 0.22/0.43 (step @p192 :rule alpha_equiv :args (@t263 @t264 (@list @t251))) % 0.22/0.43 (step @p193 :rule alpha_equiv :args (@t266 @t264 (@list @t230))) % 0.22/0.43 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t267)) % 0.22/0.43 (step @p195 :rule quant-miniscope-and :args ((= (forall @t24 (and @t265 @t262)) @t267))) % 0.22/0.43 (step @p196 :rule trans :premises (@p195 @p194)) % 0.22/0.43 (step @p197 :rule trans :premises (@p196 @p191)) % 0.22/0.43 (step @p198 :rule bool-or-and-distrib :args (@t21 @t261 true @t260 false)) % 0.22/0.43 (step @p199 :rule cong :premises (@p198) :args ((forall @t24 (or (and @t21 @t261) @t260)))) % 0.22/0.43 (step @p200 :rule trans :premises (@p199 @p197)) % 0.22/0.43 (step @p201 :rule eq-symm :args (@t15 @t14)) % 0.22/0.43 (step @p202 :rule refl :args (@t18)) % 0.22/0.43 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t19)) % 0.22/0.43 (step @p204 :rule cong :premises (@p201) :args (@t20)) % 0.22/0.43 (step @p205 :rule refl :args (@t21)) % 0.22/0.43 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t22)) % 0.22/0.43 (step @p207 :rule nary_cong :premises (@p206 @p203) :args (@t23)) % 0.22/0.43 (step @p208 :rule cong :premises (@p207) :args (@t25)) % 0.22/0.43 (step @p209 :rule trans :premises (@p208 @p200)) % 0.22/0.43 (step @p210 :rule cong :premises (@p209) :args (@t27)) % 0.22/0.43 (step @p211 :rule trans :premises (@p210 @p168)) % 0.22/0.43 (step @p212 :rule cong :premises (@p211) :args (@t28)) % 0.22/0.43 (step @p213 :rule eq_resolve :premises (@p2 @p212)) % 0.22/0.43 (step @p214 :rule instantiate :premises (@p213) :args ((@list @t236))) % 0.22/0.43 (step @p215 :rule refl :args (@t271)) % 0.22/0.43 (step @p216 :rule bool-double-not-elim :args (@t239)) % 0.22/0.43 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or (not @t272) @t271))) % 0.22/0.43 (step @p218 :rule refl :args (@t269)) % 0.22/0.43 (step @p219 :rule eq-symm :args (@t240 @t230)) % 0.22/0.43 (step @p220 :rule refl :args (@t237)) % 0.22/0.43 (step @p221 :rule nary_cong :premises (@p220 @p219) :args (@t273)) % 0.22/0.43 (step @p222 :rule refl :args (@t238)) % 0.22/0.43 (step @p223 :rule nary_cong :premises (@p222 @p221) :args (@t274)) % 0.22/0.43 (step @p224 :rule cong :premises (@p223) :args (@t275)) % 0.22/0.43 (step @p225 :rule cong :premises (@p224) :args (@t276)) % 0.22/0.43 (step @p226 :rule nary_cong :premises (@p225 @p218) :args (@t277)) % 0.22/0.43 (step @p227 :rule cong :premises (@p226) :args (@t278)) % 0.22/0.43 (step @p228 :rule refl :args (@t272)) % 0.22/0.43 (step @p229 :rule cong :premises (@p228 @p227) :args ((=> @t272 @t278))) % 0.22/0.43 (assume-push @p587 @t272) % 0.22/0.43 (step @p231 :rule skolemize :premises (@p214)) % 0.22/0.43 (step-pop @p588 :rule scope :premises (@p231)) % 0.22/0.43 (step @p232 :rule process_scope :premises (@p588) :args (@t278)) % 0.22/0.43 (step @p234 :rule eq_resolve :premises (@p232 @p229)) % 0.22/0.43 (step @p235 :rule implies_elim :premises (@p234)) % 0.22/0.43 (step @p236 :rule eq_resolve :premises (@p235 @p217)) % 0.22/0.43 (step @p237 :rule chain_m_resolution :premises (@p236 @p214) :args (@t271 @t279 (@list @t239))) % 0.22/0.43 (step @p238 :rule bool-double-not-elim :args (@t268)) % 0.22/0.43 (step @p239 :rule refl :args (@t270)) % 0.22/0.43 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t270 (not @t269)))) % 0.22/0.43 (step @p241 :rule cnf_or_neg :args (@t270 1)) % 0.22/0.43 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 0.22/0.43 (step @p243 :rule reordering :premises (@p242) :args ((or @t268 @t270))) % 0.22/0.43 (step @p244 :rule chain_m_resolution :premises (@p243 @p237) :args (@t268 @t279 (@list @t270))) % 0.22/0.43 (step @p245 :rule instantiate :premises (@p213) :args (@t280)) % 0.22/0.43 (step @p246 :rule refl :args (@t284)) % 0.22/0.43 (step @p247 :rule bool-double-not-elim :args (@t235)) % 0.22/0.43 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or (not @t285) @t284))) % 0.22/0.43 (step @p249 :rule refl :args (@t282)) % 0.22/0.43 (step @p250 :rule eq-symm :args (@t236 @t230)) % 0.22/0.43 (step @p251 :rule refl :args (@t232)) % 0.22/0.43 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t286)) % 0.22/0.43 (step @p253 :rule refl :args (@t233)) % 0.22/0.43 (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t287)) % 0.22/0.43 (step @p255 :rule cong :premises (@p254) :args (@t288)) % 0.22/0.43 (step @p256 :rule cong :premises (@p255) :args (@t289)) % 0.22/0.43 (step @p257 :rule nary_cong :premises (@p256 @p249) :args (@t290)) % 0.22/0.43 (step @p258 :rule cong :premises (@p257) :args (@t291)) % 0.22/0.43 (step @p259 :rule refl :args (@t285)) % 0.22/0.43 (step @p260 :rule cong :premises (@p259 @p258) :args ((=> @t285 @t291))) % 0.22/0.43 (assume-push @p589 @t285) % 0.22/0.43 (step @p262 :rule skolemize :premises (@p245)) % 0.22/0.43 (step-pop @p590 :rule scope :premises (@p262)) % 0.22/0.43 (step @p263 :rule process_scope :premises (@p590) :args (@t291)) % 0.22/0.43 (step @p265 :rule eq_resolve :premises (@p263 @p260)) % 0.22/0.43 (step @p266 :rule implies_elim :premises (@p265)) % 0.22/0.43 (step @p267 :rule eq_resolve :premises (@p266 @p248)) % 0.22/0.43 (step @p268 :rule chain_m_resolution :premises (@p267 @p245) :args (@t284 @t279 (@list @t235))) % 0.22/0.43 (step @p269 :rule bool-double-not-elim :args (@t281)) % 0.22/0.43 (step @p270 :rule refl :args (@t283)) % 0.22/0.43 (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or @t283 (not @t282)))) % 0.22/0.43 (step @p272 :rule cnf_or_neg :args (@t283 1)) % 0.22/0.43 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 0.22/0.43 (step @p274 :rule reordering :premises (@p273) :args ((or @t281 @t283))) % 0.22/0.43 (step @p275 :rule chain_m_resolution :premises (@p274 @p268) :args (@t281 @t279 (@list @t283))) % 0.22/0.43 (step @p276 :rule aci_norm :args ((= (or false @t294 @t293) (or @t294 @t293)))) % 0.22/0.43 (step @p277 :rule refl :args (@t293)) % 0.22/0.43 (step @p278 :rule refl :args (@t294)) % 0.22/0.43 (step @p279 :rule eq-refl :args (@t61)) % 0.22/0.43 (step @p280 :rule cong :premises (@p279) :args (@t295)) % 0.22/0.43 (step @p281 :rule trans :premises (@p280 @p39)) % 0.22/0.43 (step @p282 :rule nary_cong :premises (@p281 @p278 @p277) :args (@t296)) % 0.22/0.43 (step @p283 :rule trans :premises (@p282 @p276)) % 0.22/0.43 (step @p284 :rule cong :premises (@p283) :args ((forall @t297 @t296))) % 0.22/0.43 (step @p285 :rule quant-var-elim-eq :args ((= (forall @t71 (or (not @t63) @t300 @t294 @t298)) @t296))) % 0.22/0.43 (step @p286 :rule refl :args (@t298)) % 0.22/0.43 (step @p287 :rule refl :args (@t294)) % 0.22/0.43 (step @p288 :rule refl :args (@t300)) % 0.22/0.43 (step @p289 :rule eq-symm :args (@t61 @t62)) % 0.22/0.43 (step @p290 :rule cong :premises (@p289) :args (@t300)) % 0.22/0.43 (step @p291 :rule nary_cong :premises (@p290 @p288 @p287 @p286) :args (@t301)) % 0.22/0.43 (step @p292 :rule aci_norm :args ((= @t302 @t301))) % 0.22/0.43 (step @p293 :rule trans :premises (@p292 @p291)) % 0.22/0.43 (step @p294 :rule cong :premises (@p293) :args (@t303)) % 0.22/0.43 (step @p295 :rule trans :premises (@p294 @p285)) % 0.22/0.43 (step @p296 :rule cong :premises (@p295) :args (@t304)) % 0.22/0.43 (step @p297 :rule quant-merge-prenex :args ((= @t304 @t305))) % 0.22/0.43 (step @p298 :rule symm :premises (@p297)) % 0.22/0.43 (step @p299 :rule quant_var_reordering :args ((= (forall @t306 @t302) @t305))) % 0.22/0.43 (step @p300 :rule trans :premises (@p299 @p298 @p296)) % 0.22/0.43 (step @p301 :rule trans :premises (@p300 @p284)) % 0.22/0.43 (step @p302 :rule aci_norm :args ((= @t308 @t302))) % 0.22/0.43 (step @p303 :rule cong :premises (@p302) :args (@t309)) % 0.22/0.43 (step @p304 :rule trans :premises (@p303 @p301)) % 0.22/0.43 (step @p305 :rule quant-merge-prenex :args ((= (forall @t71 @t310) @t309))) % 0.22/0.43 (step @p306 :rule alpha_equiv :args (@t311 (@list @t292) (@list @t64))) % 0.22/0.43 (step @p307 :rule nary_cong :premises (@p306 @p288) :args (@t312)) % 0.22/0.43 (step @p308 :rule quant-miniscope-or :args ((= @t310 @t312))) % 0.22/0.43 (step @p309 :rule trans :premises (@p308 @p307)) % 0.22/0.43 (step @p310 :rule symm :premises (@p309)) % 0.22/0.43 (step @p311 :rule cong :premises (@p310) :args ((forall @t71 (or @t313 @t300)))) % 0.22/0.43 (step @p312 :rule trans :premises (@p311 @p305)) % 0.22/0.43 (step @p313 :rule trans :premises (@p312 @p304)) % 0.22/0.43 (step @p314 :rule bool-double-not-elim :args (@t313)) % 0.22/0.43 (step @p315 :rule nary_cong :premises (@p314 @p288) :args ((or (not @t314) @t300))) % 0.22/0.43 (step @p316 :rule bool-and-de-morgan :args (@t314 @t299 true)) % 0.22/0.43 (step @p317 :rule trans :premises (@p316 @p315)) % 0.22/0.43 (step @p318 :rule cong :premises (@p317) :args (@t316)) % 0.22/0.43 (step @p319 :rule trans :premises (@p318 @p313)) % 0.22/0.43 (step @p320 :rule cong :premises (@p319) :args (@t317)) % 0.22/0.43 (step @p321 :rule exists-elim :args ((= (exists @t71 @t315) @t317))) % 0.22/0.43 (step @p322 :rule trans :premises (@p321 @p320)) % 0.22/0.43 (step @p323 :rule eq-symm :args (@t62 @t61)) % 0.22/0.43 (step @p324 :rule bool-and-de-morgan :args (@t66 @t65 true)) % 0.22/0.43 (step @p325 :rule cong :premises (@p324) :args (@t318)) % 0.22/0.43 (step @p326 :rule cong :premises (@p325) :args (@t319)) % 0.22/0.43 (step @p327 :rule exists-elim :args ((= @t69 @t319))) % 0.22/0.43 (step @p328 :rule trans :premises (@p327 @p326)) % 0.22/0.43 (step @p329 :rule nary_cong :premises (@p328 @p323) :args (@t70)) % 0.22/0.43 (step @p330 :rule cong :premises (@p329) :args (@t72)) % 0.22/0.43 (step @p331 :rule trans :premises (@p330 @p322)) % 0.22/0.43 (step @p332 :rule cong :premises (@p331) :args (@t73)) % 0.22/0.43 (step @p333 :rule eq_resolve :premises (@p8 @p332)) % 0.22/0.43 (step @p334 :rule instantiate :premises (@p333) :args (@t280)) % 0.22/0.43 (step @p335 :rule skolemize :premises (@p334)) % 0.22/0.43 (step @p336 :rule bool-double-not-elim :args (@t321)) % 0.22/0.43 (step @p337 :rule refl :args (@t325)) % 0.22/0.43 (step @p338 :rule nary_cong :premises (@p337 @p336) :args ((or @t325 (not @t322)))) % 0.22/0.43 (step @p339 :rule cnf_or_neg :args (@t325 1)) % 0.22/0.43 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 0.22/0.43 (step @p341 :rule reordering :premises (@p340) :args ((or @t321 @t325))) % 0.22/0.43 (step @p342 :rule chain_m_resolution :premises (@p341 @p335) :args (@t321 @t279 @t326)) % 0.22/0.43 (step @p343 :rule true_intro :premises (@p342)) % 0.22/0.43 (step @p344 :rule refl :args (@t229)) % 0.22/0.43 (step @p345 :rule bool-and-de-morgan :args (@t227 @t222 true)) % 0.22/0.43 (step @p346 :rule cong :premises (@p345) :args (@t328)) % 0.22/0.43 (step @p347 :rule cong :premises (@p346) :args (@t329)) % 0.22/0.43 (step @p348 :rule exists-elim :args ((= (exists @t12 @t327) @t329))) % 0.22/0.43 (step @p349 :rule trans :premises (@p348 @p347)) % 0.22/0.43 (step @p350 :rule aci_norm :args ((= (or false @t222) @t222))) % 0.22/0.43 (step @p351 :rule aci_norm :args ((= (and @t222 true) @t222))) % 0.22/0.43 (step @p352 :rule eq-refl :args (@t1)) % 0.22/0.43 (step @p353 :rule refl :args (@t222)) % 0.22/0.43 (step @p354 :rule nary_cong :premises (@p353 @p352) :args (@t331)) % 0.22/0.43 (step @p355 :rule trans :premises (@p354 @p351)) % 0.22/0.43 (step @p356 :rule cong :premises (@p352) :args (@t332)) % 0.22/0.43 (step @p357 :rule trans :premises (@p356 @p39)) % 0.22/0.43 (step @p358 :rule nary_cong :premises (@p357 @p355) :args (@t333)) % 0.22/0.43 (step @p359 :rule trans :premises (@p358 @p350)) % 0.22/0.43 (step @p360 :rule quant-var-elim-eq :args ((= (forall @t338 (or (not (= @t334 @t1)) @t337 @t336)) @t333))) % 0.22/0.43 (step @p361 :rule refl :args (@t336)) % 0.22/0.43 (step @p362 :rule refl :args (@t337)) % 0.22/0.43 (step @p363 :rule eq-symm :args (@t1 @t334)) % 0.22/0.43 (step @p364 :rule cong :premises (@p363) :args (@t337)) % 0.22/0.43 (step @p365 :rule nary_cong :premises (@p364 @p362 @p361) :args (@t339)) % 0.22/0.43 (step @p366 :rule aci_norm :args ((= @t340 @t339))) % 0.22/0.43 (step @p367 :rule trans :premises (@p366 @p365)) % 0.22/0.43 (step @p368 :rule cong :premises (@p367) :args (@t341)) % 0.22/0.43 (step @p369 :rule trans :premises (@p368 @p360)) % 0.22/0.43 (step @p370 :rule trans :premises (@p369 @p359)) % 0.22/0.43 (step @p371 :rule refl :args (@t227)) % 0.22/0.43 (step @p372 :rule nary_cong :premises (@p371 @p370) :args ((and @t227 @t341))) % 0.22/0.43 (step @p373 :rule alpha_equiv :args (@t346 @t347 (@list @t334))) % 0.22/0.43 (step @p374 :rule alpha_equiv :args (@t349 @t347 (@list @t223))) % 0.22/0.43 (step @p375 :rule nary_cong :premises (@p374 @p373) :args (@t350)) % 0.22/0.43 (step @p376 :rule quant-miniscope-and :args ((= (forall @t10 (and @t348 @t345)) @t350))) % 0.22/0.43 (step @p377 :rule trans :premises (@p376 @p375)) % 0.22/0.43 (step @p378 :rule trans :premises (@p377 @p372)) % 0.22/0.43 (step @p379 :rule bool-or-and-distrib :args (@t7 @t344 true @t343 false)) % 0.22/0.43 (step @p380 :rule cong :premises (@p379) :args ((forall @t10 (or (and @t7 @t344) @t343)))) % 0.22/0.43 (step @p381 :rule trans :premises (@p380 @p378)) % 0.22/0.43 (step @p382 :rule eq-symm :args (@t2 @t1)) % 0.22/0.43 (step @p383 :rule refl :args (@t4)) % 0.22/0.43 (step @p384 :rule nary_cong :premises (@p383 @p382) :args (@t5)) % 0.22/0.43 (step @p385 :rule cong :premises (@p382) :args (@t6)) % 0.22/0.43 (step @p386 :rule refl :args (@t7)) % 0.22/0.43 (step @p387 :rule nary_cong :premises (@p386 @p385) :args (@t8)) % 0.22/0.43 (step @p388 :rule nary_cong :premises (@p387 @p384) :args (@t9)) % 0.22/0.43 (step @p389 :rule cong :premises (@p388) :args (@t11)) % 0.22/0.43 (step @p390 :rule trans :premises (@p389 @p381)) % 0.22/0.43 (step @p391 :rule cong :premises (@p390) :args (@t13)) % 0.22/0.43 (step @p392 :rule trans :premises (@p391 @p349)) % 0.22/0.43 (step @p393 :rule eq_resolve :premises (@p1 @p392)) % 0.22/0.43 (step @p394 :rule refl :args (@t356)) % 0.22/0.43 (step @p395 :rule bool-double-not-elim :args (@t228)) % 0.22/0.43 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or (not @t357) @t356))) % 0.22/0.43 (step @p397 :rule refl :args (@t352)) % 0.22/0.43 (step @p398 :rule eq-symm :args (@t229 @t223)) % 0.22/0.43 (step @p399 :rule refl :args (@t224)) % 0.22/0.43 (step @p400 :rule nary_cong :premises (@p399 @p398) :args (@t358)) % 0.22/0.43 (step @p401 :rule refl :args (@t225)) % 0.22/0.43 (step @p402 :rule nary_cong :premises (@p401 @p400) :args (@t359)) % 0.22/0.43 (step @p403 :rule cong :premises (@p402) :args (@t360)) % 0.22/0.43 (step @p404 :rule cong :premises (@p403) :args (@t361)) % 0.22/0.43 (step @p405 :rule nary_cong :premises (@p404 @p397) :args (@t362)) % 0.22/0.43 (step @p406 :rule cong :premises (@p405) :args (@t363)) % 0.22/0.43 (step @p407 :rule refl :args (@t357)) % 0.22/0.43 (step @p408 :rule cong :premises (@p407 @p406) :args ((=> @t357 @t363))) % 0.22/0.43 (assume-push @p591 @t357) % 0.22/0.43 (step @p410 :rule skolemize :premises (@p393)) % 0.22/0.43 (step-pop @p592 :rule scope :premises (@p410)) % 0.22/0.43 (step @p411 :rule process_scope :premises (@p592) :args (@t363)) % 0.22/0.43 (step @p413 :rule eq_resolve :premises (@p411 @p408)) % 0.22/0.43 (step @p414 :rule implies_elim :premises (@p413)) % 0.22/0.43 (step @p415 :rule eq_resolve :premises (@p414 @p396)) % 0.22/0.43 (step @p416 :rule chain_m_resolution :premises (@p415 @p393) :args (@t356 @t279 (@list @t228))) % 0.22/0.43 (step @p417 :rule bool-double-not-elim :args (@t353)) % 0.22/0.43 (step @p418 :rule refl :args (@t355)) % 0.22/0.43 (step @p419 :rule nary_cong :premises (@p418 @p417) :args ((or @t355 (not @t354)))) % 0.22/0.43 (step @p420 :rule cnf_or_neg :args (@t355 0)) % 0.22/0.43 (step @p421 :rule eq_resolve :premises (@p420 @p419)) % 0.22/0.43 (step @p422 :rule reordering :premises (@p421) :args ((or @t353 @t355))) % 0.22/0.43 (step @p423 :rule chain_m_resolution :premises (@p422 @p416) :args (@t353 @t279 @t364)) % 0.22/0.43 (step @p424 :rule eq-symm :args (@t320 @t229)) % 0.22/0.43 (step @p425 :rule refl :args (@t323)) % 0.22/0.43 (step @p426 :rule nary_cong :premises (@p425 @p424) :args (@t365)) % 0.22/0.43 (step @p427 :rule refl :args (@t324)) % 0.22/0.43 (step @p428 :rule nary_cong :premises (@p427 @p426) :args (@t366)) % 0.22/0.43 (step @p429 :rule refl :args (@t353)) % 0.22/0.43 (step @p430 :rule cong :premises (@p429 @p428) :args ((=> @t353 @t366))) % 0.22/0.43 (assume-push @p593 @t353) % 0.22/0.43 (step @p432 :rule instantiate :premises (@p423) :args ((@list @t320))) % 0.22/0.43 (step-pop @p594 :rule scope :premises (@p432)) % 0.22/0.43 (step @p433 :rule process_scope :premises (@p594) :args (@t366)) % 0.22/0.43 (step @p435 :rule eq_resolve :premises (@p433 @p430)) % 0.22/0.43 (step @p436 :rule implies_elim :premises (@p435)) % 0.22/0.43 (step @p437 :rule chain_m_resolution :premises (@p436 @p423) :args (@t369 @t370 @t371)) % 0.22/0.43 (step @p438 :rule bool-double-not-elim :args (@t323)) % 0.22/0.43 (step @p439 :rule nary_cong :premises (@p337 @p438) :args ((or @t325 (not @t324)))) % 0.22/0.43 (step @p440 :rule cnf_or_neg :args (@t325 0)) % 0.22/0.43 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 0.22/0.43 (step @p442 :rule reordering :premises (@p441) :args ((or @t323 @t325))) % 0.22/0.43 (step @p443 :rule chain_m_resolution :premises (@p442 @p335) :args (@t323 @t279 @t326)) % 0.22/0.43 (step @p444 :rule cnf_or_pos :args (@t369)) % 0.22/0.43 (step @p445 :rule reordering :premises (@p444) :args ((or @t324 @t368 (not @t369)))) % 0.22/0.43 (step @p446 :rule chain_m_resolution :premises (@p445 @p443 @p437) :args (@t368 @t372 (@list @t323 @t369))) % 0.22/0.43 (step @p447 :rule cnf_and_pos :args (@t368 1)) % 0.22/0.43 (step @p448 :rule reordering :premises (@p447) :args ((or @t367 (not @t368)))) % 0.22/0.43 (step @p449 :rule chain_m_resolution :premises (@p448 @p446) :args (@t367 @t370 (@list @t368))) % 0.22/0.43 (step @p450 :rule cong :premises (@p344 @p449 @p344) :args (@t373)) % 0.22/0.43 (step @p451 :rule trans :premises (@p450 @p343)) % 0.22/0.43 (step @p452 :rule true_elim :premises (@p451)) % 0.22/0.43 (step @p453 :rule bool-double-not-elim :args (@t351)) % 0.22/0.43 (step @p454 :rule nary_cong :premises (@p418 @p453) :args ((or @t355 (not @t352)))) % 0.22/0.43 (step @p455 :rule cnf_or_neg :args (@t355 1)) % 0.22/0.43 (step @p456 :rule eq_resolve :premises (@p455 @p454)) % 0.22/0.43 (step @p457 :rule reordering :premises (@p456) :args ((or @t351 @t355))) % 0.22/0.43 (step @p458 :rule chain_m_resolution :premises (@p457 @p416) :args (@t351 @t279 @t364)) % 0.22/0.43 (step @p459 :rule cnf_or_pos :args (@t376)) % 0.22/0.43 (step @p460 :rule reordering :premises (@p459) :args ((or @t352 @t375 @t282 @t269 @t374 (not @t376)))) % 0.22/0.43 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p452 @p275 @p244 @p163) :args (@t374 (@list false false false false false) (@list @t351 @t373 @t281 @t268 @t376))) % 0.22/0.43 (step @p462 :rule false_intro :premises (@p461)) % 0.22/0.43 (step @p463 :rule eq-symm :args (@t381 @t229)) % 0.22/0.43 (step @p464 :rule refl :args (@t382)) % 0.22/0.43 (step @p465 :rule nary_cong :premises (@p464 @p463) :args (@t383)) % 0.22/0.43 (step @p466 :rule refl :args (@t384)) % 0.22/0.43 (step @p467 :rule nary_cong :premises (@p466 @p465) :args (@t385)) % 0.22/0.43 (step @p468 :rule cong :premises (@p429 @p467) :args ((=> @t353 @t385))) % 0.22/0.43 (assume-push @p595 @t353) % 0.22/0.43 (step @p470 :rule instantiate :premises (@p423) :args ((@list @t381))) % 0.22/0.43 (step-pop @p596 :rule scope :premises (@p470)) % 0.22/0.43 (step @p471 :rule process_scope :premises (@p596) :args (@t385)) % 0.22/0.43 (step @p473 :rule eq_resolve :premises (@p471 @p468)) % 0.22/0.43 (step @p474 :rule implies_elim :premises (@p473)) % 0.22/0.43 (step @p475 :rule chain_m_resolution :premises (@p474 @p423) :args (@t388 @t370 @t371)) % 0.22/0.43 (step @p476 :rule aci_norm :args ((= @t391 (or @t214 @t378 @t389)))) % 0.22/0.43 (step @p477 :rule cong :premises (@p476) :args (@t392)) % 0.22/0.43 (step @p478 :rule quant-merge-prenex :args ((= (forall @t89 @t394) @t392))) % 0.22/0.43 (step @p479 :rule refl :args (@t214)) % 0.22/0.43 (step @p480 :rule alpha_equiv :args (@t395 (@list @t377) (@list @t81))) % 0.22/0.43 (step @p481 :rule nary_cong :premises (@p480 @p479) :args (@t396)) % 0.22/0.43 (step @p482 :rule quant-miniscope-or :args ((= @t394 @t396))) % 0.22/0.43 (step @p483 :rule trans :premises (@p482 @p481)) % 0.22/0.43 (step @p484 :rule symm :premises (@p483)) % 0.22/0.43 (step @p485 :rule cong :premises (@p484) :args ((forall @t89 (or @t397 @t214)))) % 0.22/0.43 (step @p486 :rule trans :premises (@p485 @p478)) % 0.22/0.43 (step @p487 :rule trans :premises (@p486 @p477)) % 0.22/0.43 (step @p488 :rule bool-double-not-elim :args (@t397)) % 0.22/0.43 (step @p489 :rule nary_cong :premises (@p488 @p479) :args ((or (not @t398) @t214))) % 0.22/0.43 (step @p490 :rule bool-and-de-morgan :args (@t398 @t104 true)) % 0.22/0.43 (step @p491 :rule trans :premises (@p490 @p489)) % 0.22/0.43 (step @p492 :rule cong :premises (@p491) :args (@t400)) % 0.22/0.43 (step @p493 :rule trans :premises (@p492 @p487)) % 0.22/0.43 (step @p494 :rule cong :premises (@p493) :args (@t401)) % 0.22/0.43 (step @p495 :rule exists-elim :args ((= (exists @t89 @t399) @t401))) % 0.22/0.43 (step @p496 :rule trans :premises (@p495 @p494)) % 0.22/0.43 (step @p497 :rule bool-double-not-elim :args (@t104)) % 0.22/0.43 (step @p498 :rule aci_norm :args ((= (or @t214 false) @t214))) % 0.22/0.43 (step @p499 :rule eq-refl :args (@t75)) % 0.22/0.43 (step @p500 :rule cong :premises (@p499) :args (@t402)) % 0.22/0.43 (step @p501 :rule trans :premises (@p500 @p39)) % 0.22/0.43 (step @p502 :rule refl :args (@t214)) % 0.22/0.43 (step @p503 :rule nary_cong :premises (@p502 @p501) :args (@t403)) % 0.22/0.43 (step @p504 :rule trans :premises (@p503 @p498)) % 0.22/0.43 (step @p505 :rule quant-var-elim-eq :args ((= (forall @t79 (or (not (= @t74 @t75)) @t405 @t404)) @t403))) % 0.22/0.43 (step @p506 :rule refl :args (@t404)) % 0.22/0.43 (step @p507 :rule refl :args (@t405)) % 0.22/0.43 (step @p508 :rule eq-symm :args (@t75 @t74)) % 0.22/0.43 (step @p509 :rule cong :premises (@p508) :args (@t404)) % 0.22/0.43 (step @p510 :rule nary_cong :premises (@p509 @p507 @p506) :args (@t406)) % 0.22/0.43 (step @p511 :rule aci_norm :args ((= @t407 @t406))) % 0.22/0.43 (step @p512 :rule trans :premises (@p511 @p510)) % 0.22/0.43 (step @p513 :rule cong :premises (@p512) :args ((forall @t79 @t407))) % 0.22/0.43 (step @p514 :rule trans :premises (@p513 @p505)) % 0.22/0.43 (step @p515 :rule trans :premises (@p514 @p504)) % 0.22/0.43 (step @p516 :rule bool-and-de-morgan :args (@t77 @t76 true)) % 0.22/0.43 (step @p517 :rule cong :premises (@p516) :args (@t408)) % 0.22/0.43 (step @p518 :rule trans :premises (@p517 @p515)) % 0.22/0.43 (step @p519 :rule cong :premises (@p518) :args (@t409)) % 0.22/0.43 (step @p520 :rule trans :premises (@p519 @p497)) % 0.22/0.43 (step @p521 :rule exists-elim :args ((= @t80 @t409))) % 0.22/0.43 (step @p522 :rule trans :premises (@p521 @p520)) % 0.22/0.43 (step @p523 :rule bool-and-de-morgan :args (@t84 @t83 true)) % 0.22/0.43 (step @p524 :rule cong :premises (@p523) :args (@t410)) % 0.22/0.43 (step @p525 :rule cong :premises (@p524) :args (@t411)) % 0.22/0.43 (step @p526 :rule exists-elim :args ((= @t87 @t411))) % 0.22/0.43 (step @p527 :rule trans :premises (@p526 @p525)) % 0.22/0.43 (step @p528 :rule nary_cong :premises (@p527 @p522) :args (@t88)) % 0.22/0.43 (step @p529 :rule cong :premises (@p528) :args (@t90)) % 0.22/0.43 (step @p530 :rule trans :premises (@p529 @p496)) % 0.22/0.43 (step @p531 :rule cong :premises (@p530) :args (@t91)) % 0.22/0.43 (step @p532 :rule eq_resolve :premises (@p9 @p531)) % 0.22/0.43 (step @p533 :rule instantiate :premises (@p532) :args ((@list @t240))) % 0.22/0.43 (step @p534 :rule skolemize :premises (@p533)) % 0.22/0.43 (step @p535 :rule bool-double-not-elim :args (@t382)) % 0.22/0.43 (step @p536 :rule refl :args (@t417)) % 0.22/0.43 (step @p537 :rule nary_cong :premises (@p536 @p535) :args ((or @t417 (not @t384)))) % 0.22/0.43 (step @p538 :rule cnf_or_neg :args (@t417 0)) % 0.22/0.43 (step @p539 :rule eq_resolve :premises (@p538 @p537)) % 0.22/0.43 (step @p540 :rule reordering :premises (@p539) :args ((or @t382 @t417))) % 0.22/0.43 (step @p541 :rule chain_m_resolution :premises (@p540 @p534) :args (@t382 @t279 @t418)) % 0.22/0.43 (step @p542 :rule cnf_or_pos :args (@t388)) % 0.22/0.43 (step @p543 :rule reordering :premises (@p542) :args ((or @t384 @t387 (not @t388)))) % 0.22/0.43 (step @p544 :rule chain_m_resolution :premises (@p543 @p541 @p475) :args (@t387 @t372 (@list @t382 @t388))) % 0.22/0.43 (step @p545 :rule cnf_and_pos :args (@t387 1)) % 0.22/0.43 (step @p546 :rule reordering :premises (@p545) :args ((or @t386 (not @t387)))) % 0.22/0.43 (step @p547 :rule chain_m_resolution :premises (@p546 @p544) :args (@t386 @t370 (@list @t387))) % 0.22/0.43 (step @p548 :rule symm :premises (@p547)) % 0.22/0.43 (step @p549 :rule eq-symm :args (@t412 @t229)) % 0.22/0.43 (step @p550 :rule refl :args (@t415)) % 0.22/0.43 (step @p551 :rule nary_cong :premises (@p550 @p549) :args (@t419)) % 0.22/0.43 (step @p552 :rule refl :args (@t416)) % 0.22/0.43 (step @p553 :rule nary_cong :premises (@p552 @p551) :args (@t420)) % 0.22/0.43 (step @p554 :rule cong :premises (@p429 @p553) :args ((=> @t353 @t420))) % 0.22/0.43 (assume-push @p597 @t353) % 0.22/0.43 (step @p556 :rule instantiate :premises (@p423) :args ((@list @t412))) % 0.22/0.43 (step-pop @p598 :rule scope :premises (@p556)) % 0.22/0.43 (step @p557 :rule process_scope :premises (@p598) :args (@t420)) % 0.22/0.43 (step @p559 :rule eq_resolve :premises (@p557 @p554)) % 0.22/0.43 (step @p560 :rule implies_elim :premises (@p559)) % 0.22/0.43 (step @p561 :rule chain_m_resolution :premises (@p560 @p423) :args (@t423 @t370 @t371)) % 0.22/0.43 (step @p562 :rule bool-double-not-elim :args (@t415)) % 0.22/0.43 (step @p563 :rule nary_cong :premises (@p536 @p562) :args ((or @t417 (not @t416)))) % 0.22/0.43 (step @p564 :rule cnf_or_neg :args (@t417 1)) % 0.22/0.43 (step @p565 :rule eq_resolve :premises (@p564 @p563)) % 0.22/0.43 (step @p566 :rule reordering :premises (@p565) :args ((or @t415 @t417))) % 0.22/0.43 (step @p567 :rule chain_m_resolution :premises (@p566 @p534) :args (@t415 @t279 @t418)) % 0.22/0.43 (step @p568 :rule cnf_or_pos :args (@t423)) % 0.22/0.43 (step @p569 :rule reordering :premises (@p568) :args ((or @t416 @t422 (not @t423)))) % 0.22/0.43 (step @p570 :rule chain_m_resolution :premises (@p569 @p567 @p561) :args (@t422 @t372 (@list @t415 @t423))) % 0.22/0.43 (step @p571 :rule cnf_and_pos :args (@t422 1)) % 0.22/0.43 (step @p572 :rule reordering :premises (@p571) :args ((or @t421 (not @t422)))) % 0.22/0.43 (step @p573 :rule chain_m_resolution :premises (@p572 @p570) :args (@t421 @t370 (@list @t422))) % 0.22/0.43 (step @p574 :rule symm :premises (@p573)) % 0.22/0.43 (step @p575 :rule refl :args (@t240)) % 0.22/0.43 (step @p576 :rule cong :premises (@p575 @p574 @p548) :args (@t413)) % 0.22/0.43 (step @p577 :rule bool-double-not-elim :args (@t413)) % 0.22/0.43 (step @p578 :rule nary_cong :premises (@p536 @p577) :args ((or @t417 (not @t414)))) % 0.22/0.43 (step @p579 :rule cnf_or_neg :args (@t417 2)) % 0.22/0.43 (step @p580 :rule eq_resolve :premises (@p579 @p578)) % 0.22/0.43 (step @p581 :rule reordering :premises (@p580) :args ((or @t413 @t417))) % 0.22/0.43 (step @p582 :rule chain_m_resolution :premises (@p581 @p534) :args (@t413 @t279 @t418)) % 0.22/0.43 (step @p583 :rule true_intro :premises (@p582)) % 0.22/0.43 (step @p584 :rule symm :premises (@p583)) % 0.22/0.43 (step @p585 :rule trans :premises (@p584 @p576 @p462)) % 0.22/0.43 (step @p586 false :rule eq_resolve :premises (@p585 @p14)) % 0.22/0.43 ) % 0.22/0.43 % SZS output end Proof % 0.22/0.43 % cvc5 exiting %------------------------------------------------------------------------------