%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN080+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 : n027.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 08:42:55 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN080+2 : TPTP v9.2.1. Released v7.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.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 12:40:21 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.38/0.61 (define @t1 () (@var "Y24" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "X19" $$unsorted)) % 0.38/0.61 (define @t3 () (= @t2 @t1)) % 0.38/0.61 (define @t4 () (tptp.r1 @t2)) % 0.38/0.61 (define @t5 () (and @t4 @t3)) % 0.38/0.61 (define @t6 () (not @t3)) % 0.38/0.61 (define @t7 () (not @t4)) % 0.38/0.61 (define @t8 () (and @t7 @t6)) % 0.38/0.61 (define @t9 () (or @t8 @t5)) % 0.38/0.61 (define @t10 () (@list @t2)) % 0.38/0.61 (define @t11 () (forall @t10 @t9)) % 0.38/0.61 (define @t12 () (@list @t1)) % 0.38/0.61 (define @t13 () (exists @t12 @t11)) % 0.38/0.61 (define @t14 () (@var "Y21" $$unsorted)) % 0.38/0.61 (define @t15 () (@var "X12" $$unsorted)) % 0.38/0.61 (define @t16 () (= @t15 @t14)) % 0.38/0.61 (define @t17 () (@var "X11" $$unsorted)) % 0.38/0.61 (define @t18 () (tptp.r2 @t17 @t15)) % 0.38/0.61 (define @t19 () (and @t18 @t16)) % 0.38/0.61 (define @t20 () (not @t16)) % 0.38/0.61 (define @t21 () (not @t18)) % 0.38/0.61 (define @t22 () (and @t21 @t20)) % 0.38/0.61 (define @t23 () (or @t22 @t19)) % 0.38/0.61 (define @t24 () (@list @t15)) % 0.38/0.61 (define @t25 () (forall @t24 @t23)) % 0.38/0.61 (define @t26 () (@list @t14)) % 0.38/0.61 (define @t27 () (exists @t26 @t25)) % 0.38/0.61 (define @t28 () (forall (@list @t17) @t27)) % 0.38/0.61 (define @t29 () (@var "Y22" $$unsorted)) % 0.38/0.61 (define @t30 () (@var "X15" $$unsorted)) % 0.38/0.61 (define @t31 () (= @t30 @t29)) % 0.38/0.61 (define @t32 () (@var "X14" $$unsorted)) % 0.38/0.61 (define @t33 () (@var "X13" $$unsorted)) % 0.38/0.61 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 0.38/0.61 (define @t35 () (@var "Y23" $$unsorted)) % 0.38/0.61 (define @t36 () (@var "X18" $$unsorted)) % 0.38/0.61 (define @t37 () (= @t36 @t35)) % 0.38/0.61 (define @t38 () (@var "X17" $$unsorted)) % 0.38/0.61 (define @t39 () (@var "X16" $$unsorted)) % 0.38/0.61 (define @t40 () (tptp.r4 @t39 @t38 @t36)) % 0.38/0.61 (define @t41 () (@var "Y7" $$unsorted)) % 0.38/0.61 (define @t42 () (@var "X8" $$unsorted)) % 0.38/0.61 (define @t43 () (@var "X1" $$unsorted)) % 0.38/0.61 (define @t44 () (tptp.r3 @t43 @t42 @t41)) % 0.38/0.61 (define @t45 () (@var "Y4" $$unsorted)) % 0.38/0.61 (define @t46 () (tptp.r2 @t41 @t45)) % 0.38/0.61 (define @t47 () (and @t46 @t44)) % 0.38/0.61 (define @t48 () (@list @t41)) % 0.38/0.61 (define @t49 () (exists @t48 @t47)) % 0.38/0.61 (define @t50 () (@var "Y5" $$unsorted)) % 0.38/0.61 (define @t51 () (= @t50 @t45)) % 0.38/0.61 (define @t52 () (@var "Y15" $$unsorted)) % 0.38/0.61 (define @t53 () (tptp.r3 @t43 @t52 @t50)) % 0.38/0.61 (define @t54 () (tptp.r2 @t42 @t52)) % 0.38/0.61 (define @t55 () (and @t54 @t53)) % 0.38/0.61 (define @t56 () (@list @t52)) % 0.38/0.61 (define @t57 () (exists @t56 @t55)) % 0.38/0.61 (define @t58 () (and @t57 @t51)) % 0.38/0.61 (define @t59 () (@list @t50)) % 0.38/0.61 (define @t60 () (exists @t59 @t58)) % 0.38/0.61 (define @t61 () (and @t60 @t49)) % 0.38/0.61 (define @t62 () (@list @t45)) % 0.38/0.61 (define @t63 () (exists @t62 @t61)) % 0.38/0.61 (define @t64 () (forall (@list @t43 @t42) @t63)) % 0.38/0.61 (define @t65 () (@var "Y6" $$unsorted)) % 0.38/0.61 (define @t66 () (@var "X9" $$unsorted)) % 0.38/0.61 (define @t67 () (@var "X2" $$unsorted)) % 0.38/0.61 (define @t68 () (@var "Y2" $$unsorted)) % 0.38/0.61 (define @t69 () (@list @t65)) % 0.38/0.61 (define @t70 () (@var "Y3" $$unsorted)) % 0.38/0.61 (define @t71 () (= @t70 @t68)) % 0.38/0.61 (define @t72 () (@var "Y14" $$unsorted)) % 0.38/0.61 (define @t73 () (@list @t68)) % 0.38/0.61 (define @t74 () (@var "X10" $$unsorted)) % 0.38/0.61 (define @t75 () (@var "X3" $$unsorted)) % 0.38/0.61 (define @t76 () (@var "Y12" $$unsorted)) % 0.38/0.61 (define @t77 () (@var "Y13" $$unsorted)) % 0.38/0.61 (define @t78 () (@var "X4" $$unsorted)) % 0.38/0.61 (define @t79 () (@var "Y9" $$unsorted)) % 0.38/0.61 (define @t80 () (@var "Y16" $$unsorted)) % 0.38/0.61 (define @t81 () (@var "Y18" $$unsorted)) % 0.38/0.61 (define @t82 () (@var "Y8" $$unsorted)) % 0.38/0.61 (define @t83 () (@var "Y17" $$unsorted)) % 0.38/0.61 (define @t84 () (@var "X5" $$unsorted)) % 0.38/0.61 (define @t85 () (@var "Y11" $$unsorted)) % 0.38/0.61 (define @t86 () (@var "X6" $$unsorted)) % 0.38/0.61 (define @t87 () (@var "Y1" $$unsorted)) % 0.38/0.61 (define @t88 () (@var "Y19" $$unsorted)) % 0.38/0.61 (define @t89 () (@var "Y10" $$unsorted)) % 0.38/0.61 (define @t90 () (@var "X7" $$unsorted)) % 0.38/0.61 (define @t91 () (@var "Y20" $$unsorted)) % 0.38/0.61 (define @t92 () (tptp.r2 @t65 @t50)) % 0.38/0.61 (define @t93 () (tptp.r1 @t65)) % 0.38/0.61 (define @t94 () (and @t93 @t92)) % 0.38/0.61 (define @t95 () (exists @t69 @t94)) % 0.38/0.61 (define @t96 () (tptp.r2 @t50 @t45)) % 0.38/0.61 (define @t97 () (and @t96 @t95)) % 0.38/0.61 (define @t98 () (exists @t59 @t97)) % 0.38/0.61 (define @t99 () (tptp.r3 @t87 @t45 @t70)) % 0.38/0.61 (define @t100 () (and @t99 @t98)) % 0.38/0.61 (define @t101 () (exists @t62 @t100)) % 0.38/0.61 (define @t102 () (and @t71 @t101)) % 0.38/0.61 (define @t103 () (@list @t87 @t68 @t70)) % 0.38/0.61 (define @t104 () (exists @t103 @t102)) % 0.38/0.61 (define @t105 () (not @t104)) % 0.38/0.61 (define @t106 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 0.38/0.61 (define @t107 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 0.38/0.61 (define @t108 () (not (tptp.r2 @t107 @t106))) % 0.38/0.61 (define @t109 () (not (tptp.r1 @t107))) % 0.38/0.61 (define @t110 () (@var "BOUND_VARIABLE_8190" $$unsorted)) % 0.38/0.61 (define @t111 () (not (tptp.r2 @t106 @t110))) % 0.38/0.61 (define @t112 () (not (tptp.r3 @t87 @t110 @t70))) % 0.38/0.61 (define @t113 () (or @t112 @t111 @t109 @t108)) % 0.38/0.61 (define @t114 () (@list @t87 @t70 @t110 @t106 @t107)) % 0.38/0.61 (define @t115 () (forall @t114 @t113)) % 0.38/0.61 (define @t116 () (not (= @t70 @t70))) % 0.38/0.61 (define @t117 () (or @t116 @t112 @t111 @t109 @t108)) % 0.38/0.61 (define @t118 () (= @t68 @t70)) % 0.38/0.61 (define @t119 () (not @t118)) % 0.38/0.61 (define @t120 () (or @t119 @t119 @t112 @t111 @t109 @t108)) % 0.38/0.61 (define @t121 () (or @t119 @t112 @t111 @t109 @t108)) % 0.38/0.61 (define @t122 () (forall @t73 @t121)) % 0.38/0.61 (define @t123 () (forall @t114 @t122)) % 0.38/0.61 (define @t124 () (forall (@list @t87 @t70 @t110 @t106 @t107 @t68) @t121)) % 0.38/0.61 (define @t125 () (@list @t87 @t68 @t70 @t110 @t106 @t107)) % 0.38/0.61 (define @t126 () (or @t119 @t113)) % 0.38/0.61 (define @t127 () (forall @t125 @t126)) % 0.38/0.61 (define @t128 () (@list @t110 @t106 @t107)) % 0.38/0.61 (define @t129 () (forall @t128 @t126)) % 0.38/0.61 (define @t130 () (forall @t128 @t113)) % 0.38/0.61 (define @t131 () (@var "BOUND_VARIABLE_8168" $$unsorted)) % 0.38/0.61 (define @t132 () (@var "BOUND_VARIABLE_8166" $$unsorted)) % 0.38/0.61 (define @t133 () (or @t119 @t130)) % 0.38/0.61 (define @t134 () (not (tptp.r2 @t131 @t132))) % 0.38/0.61 (define @t135 () (not (tptp.r1 @t131))) % 0.38/0.61 (define @t136 () (not (tptp.r2 @t132 @t45))) % 0.38/0.61 (define @t137 () (not @t99)) % 0.38/0.61 (define @t138 () (or @t137 @t136 @t135 @t134)) % 0.38/0.61 (define @t139 () (@list @t45 @t132 @t131)) % 0.38/0.61 (define @t140 () (forall @t139 @t138)) % 0.38/0.61 (define @t141 () (not @t140)) % 0.38/0.61 (define @t142 () (and @t118 @t141)) % 0.38/0.61 (define @t143 () (forall @t103 (not @t142))) % 0.38/0.61 (define @t144 () (not @t143)) % 0.38/0.61 (define @t145 () (or @t136 @t135 @t134)) % 0.38/0.61 (define @t146 () (or @t137 @t145)) % 0.38/0.61 (define @t147 () (forall @t139 @t146)) % 0.38/0.61 (define @t148 () (@list @t132 @t131)) % 0.38/0.61 (define @t149 () (forall @t148 @t146)) % 0.38/0.61 (define @t150 () (forall @t148 @t145)) % 0.38/0.61 (define @t151 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.38/0.61 (define @t152 () (or @t137 @t150)) % 0.38/0.61 (define @t153 () (not (tptp.r2 @t151 @t50))) % 0.38/0.61 (define @t154 () (not (tptp.r1 @t151))) % 0.38/0.61 (define @t155 () (not @t96)) % 0.38/0.61 (define @t156 () (or @t155 @t154 @t153)) % 0.38/0.61 (define @t157 () (@list @t50 @t151)) % 0.38/0.61 (define @t158 () (forall @t157 @t156)) % 0.38/0.61 (define @t159 () (not @t158)) % 0.38/0.61 (define @t160 () (and @t99 @t159)) % 0.38/0.61 (define @t161 () (forall @t62 (not @t160))) % 0.38/0.61 (define @t162 () (not @t161)) % 0.38/0.61 (define @t163 () (or @t154 @t153)) % 0.38/0.61 (define @t164 () (or @t155 @t163)) % 0.38/0.61 (define @t165 () (forall @t157 @t164)) % 0.38/0.61 (define @t166 () (@list @t151)) % 0.38/0.61 (define @t167 () (forall @t166 @t164)) % 0.38/0.61 (define @t168 () (forall @t166 @t163)) % 0.38/0.61 (define @t169 () (or @t155 @t168)) % 0.38/0.61 (define @t170 () (forall @t69 (or (not @t93) (not @t92)))) % 0.38/0.61 (define @t171 () (not @t170)) % 0.38/0.61 (define @t172 () (and @t96 @t171)) % 0.38/0.61 (define @t173 () (forall @t59 (not @t172))) % 0.38/0.61 (define @t174 () (not @t173)) % 0.38/0.61 (define @t175 () (forall @t69 (not @t94))) % 0.38/0.61 (define @t176 () (not @t175)) % 0.38/0.61 (define @t177 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 0.38/0.61 (define @t178 () (not (tptp.r3 @t43 @t42 @t177))) % 0.38/0.61 (define @t179 () (not (tptp.r2 @t177 @t45))) % 0.38/0.61 (define @t180 () (@var "BOUND_VARIABLE_7872" $$unsorted)) % 0.38/0.61 (define @t181 () (not (tptp.r3 @t43 @t180 @t45))) % 0.38/0.61 (define @t182 () (not (tptp.r2 @t42 @t180))) % 0.38/0.61 (define @t183 () (or @t179 @t178)) % 0.38/0.61 (define @t184 () (or @t182 @t181)) % 0.38/0.61 (define @t185 () (or @t184 @t183)) % 0.38/0.61 (define @t186 () (@list @t45 @t180 @t177)) % 0.38/0.61 (define @t187 () (forall @t186 @t185)) % 0.38/0.61 (define @t188 () (forall (@list @t180 @t177) @t185)) % 0.38/0.61 (define @t189 () (forall (@list @t177) @t183)) % 0.38/0.61 (define @t190 () (forall (@list @t180) @t184)) % 0.38/0.61 (define @t191 () (@var "BOUND_VARIABLE_7834" $$unsorted)) % 0.38/0.61 (define @t192 () (@list @t191)) % 0.38/0.61 (define @t193 () (or @t190 @t189)) % 0.38/0.61 (define @t194 () (forall @t48 (or (not @t46) (not @t44)))) % 0.38/0.61 (define @t195 () (not (tptp.r3 @t43 @t191 @t45))) % 0.38/0.61 (define @t196 () (not (tptp.r2 @t42 @t191))) % 0.38/0.61 (define @t197 () (or @t196 @t195)) % 0.38/0.61 (define @t198 () (@list @t191)) % 0.38/0.61 (define @t199 () (forall @t198 @t197)) % 0.38/0.61 (define @t200 () (not @t194)) % 0.38/0.61 (define @t201 () (not @t199)) % 0.38/0.61 (define @t202 () (and @t201 @t200)) % 0.38/0.61 (define @t203 () (forall @t62 (not @t202))) % 0.38/0.61 (define @t204 () (not @t203)) % 0.38/0.61 (define @t205 () (forall @t48 (not @t47))) % 0.38/0.61 (define @t206 () (not @t205)) % 0.38/0.61 (define @t207 () (not (= @t45 @t45))) % 0.38/0.61 (define @t208 () (or @t207 @t196 @t195)) % 0.38/0.61 (define @t209 () (not (tptp.r3 @t43 @t191 @t50))) % 0.38/0.61 (define @t210 () (= @t45 @t50)) % 0.38/0.61 (define @t211 () (not @t210)) % 0.38/0.61 (define @t212 () (or @t211 @t211 @t196 @t209)) % 0.38/0.61 (define @t213 () (or @t211 @t196 @t209)) % 0.38/0.61 (define @t214 () (forall @t59 @t213)) % 0.38/0.61 (define @t215 () (forall @t198 @t214)) % 0.38/0.61 (define @t216 () (forall (@list @t191 @t50) @t213)) % 0.38/0.61 (define @t217 () (@list @t50 @t191)) % 0.38/0.61 (define @t218 () (or @t196 @t209)) % 0.38/0.61 (define @t219 () (or @t218 @t211)) % 0.38/0.61 (define @t220 () (forall @t217 @t219)) % 0.38/0.61 (define @t221 () (forall @t198 @t219)) % 0.38/0.61 (define @t222 () (forall @t198 @t218)) % 0.38/0.61 (define @t223 () (or @t222 @t211)) % 0.38/0.61 (define @t224 () (forall @t56 (or (not @t54) (not @t53)))) % 0.38/0.61 (define @t225 () (not @t224)) % 0.38/0.61 (define @t226 () (and @t225 @t210)) % 0.38/0.61 (define @t227 () (forall @t59 (not @t226))) % 0.38/0.61 (define @t228 () (not @t227)) % 0.38/0.61 (define @t229 () (forall @t56 (not @t55))) % 0.38/0.61 (define @t230 () (not @t229)) % 0.38/0.61 (define @t231 () (tptp.r1 @t1)) % 0.38/0.61 (define @t232 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 0.38/0.61 (define @t233 () (tptp.r1 @t232)) % 0.38/0.61 (define @t234 () (not @t233)) % 0.38/0.61 (define @t235 () (@list @t232)) % 0.38/0.61 (define @t236 () (forall @t235 (or @t234 (and @t233 (= @t1 @t232))))) % 0.38/0.61 (define @t237 () (forall @t12 (or (not @t236) (not @t231)))) % 0.38/0.61 (define @t238 () (@quantifiers_skolemize @t237 0)) % 0.38/0.61 (define @t239 () (@var "BOUND_VARIABLE_7683" $$unsorted)) % 0.38/0.61 (define @t240 () (= @t14 @t239)) % 0.38/0.61 (define @t241 () (tptp.r2 @t238 @t239)) % 0.38/0.61 (define @t242 () (not @t241)) % 0.38/0.61 (define @t243 () (@list @t239)) % 0.38/0.61 (define @t244 () (forall @t26 (or (not (forall @t243 (or @t242 (and @t241 @t240)))) (not (tptp.r2 @t238 @t14))))) % 0.38/0.61 (define @t245 () (@quantifiers_skolemize @t244 0)) % 0.38/0.61 (define @t246 () (forall @t186 (or (not (tptp.r2 @t245 @t180)) (not (tptp.r3 @t238 @t180 @t45)) @t179 (not (tptp.r3 @t238 @t245 @t177))))) % 0.38/0.61 (define @t247 () (@quantifiers_skolemize @t246 0)) % 0.38/0.61 (define @t248 () (@quantifiers_skolemize @t246 1)) % 0.38/0.61 (define @t249 () (tptp.r3 @t238 @t248 @t247)) % 0.38/0.61 (define @t250 () (@quantifiers_skolemize @t246 2)) % 0.38/0.61 (define @t251 () (not @t249)) % 0.38/0.61 (define @t252 () (tptp.r2 @t245 @t248)) % 0.38/0.61 (define @t253 () (not @t252)) % 0.38/0.61 (define @t254 () (or @t253 @t251 (not (tptp.r2 @t250 @t247)) (not (tptp.r3 @t238 @t245 @t250)))) % 0.38/0.61 (define @t255 () (@list true)) % 0.38/0.61 (define @t256 () (@list @t254)) % 0.38/0.61 (define @t257 () (tptp.r2 @t17 @t239)) % 0.38/0.61 (define @t258 () (forall @t243 (or (not @t257) (and @t257 @t240)))) % 0.38/0.61 (define @t259 () (tptp.r2 @t17 @t14)) % 0.38/0.61 (define @t260 () (and @t258 @t259)) % 0.38/0.61 (define @t261 () (forall @t26 (not @t260))) % 0.38/0.61 (define @t262 () (not @t261)) % 0.38/0.61 (define @t263 () (= @t14 @t14)) % 0.38/0.61 (define @t264 () (and @t259 @t263)) % 0.38/0.61 (define @t265 () (not @t263)) % 0.38/0.61 (define @t266 () (or @t265 @t264)) % 0.38/0.61 (define @t267 () (@var "BOUND_VARIABLE_7692" $$unsorted)) % 0.38/0.61 (define @t268 () (= @t14 @t267)) % 0.38/0.61 (define @t269 () (and (tptp.r2 @t17 @t267) @t268)) % 0.38/0.61 (define @t270 () (not @t268)) % 0.38/0.61 (define @t271 () (@list @t267)) % 0.38/0.61 (define @t272 () (or @t270 @t270 @t269)) % 0.38/0.61 (define @t273 () (or @t270 @t269)) % 0.38/0.61 (define @t274 () (forall @t271 @t273)) % 0.38/0.61 (define @t275 () (= @t14 @t15)) % 0.38/0.61 (define @t276 () (and @t18 @t275)) % 0.38/0.61 (define @t277 () (not @t275)) % 0.38/0.61 (define @t278 () (or @t277 @t276)) % 0.38/0.61 (define @t279 () (forall @t24 @t278)) % 0.38/0.61 (define @t280 () (@list @t15)) % 0.38/0.61 (define @t281 () (or @t21 @t276)) % 0.38/0.61 (define @t282 () (forall @t24 @t281)) % 0.38/0.61 (define @t283 () (and @t282 @t279)) % 0.38/0.61 (define @t284 () (tptp.r2 @t238 @t245)) % 0.38/0.61 (define @t285 () (not @t284)) % 0.38/0.61 (define @t286 () (or (not (forall @t243 (or @t242 (and @t241 (= @t239 @t245))))) @t285)) % 0.38/0.61 (define @t287 () (not @t286)) % 0.38/0.61 (define @t288 () (not @t244)) % 0.38/0.61 (define @t289 () (and @t241 (= @t245 @t239))) % 0.38/0.61 (define @t290 () (or @t242 @t289)) % 0.38/0.61 (define @t291 () (forall @t243 @t290)) % 0.38/0.61 (define @t292 () (not @t291)) % 0.38/0.61 (define @t293 () (or @t292 @t285)) % 0.38/0.61 (define @t294 () (not @t293)) % 0.38/0.61 (define @t295 () (and @t236 @t231)) % 0.38/0.61 (define @t296 () (forall @t12 (not @t295))) % 0.38/0.61 (define @t297 () (not @t296)) % 0.38/0.61 (define @t298 () (= @t1 @t1)) % 0.38/0.61 (define @t299 () (and @t231 @t298)) % 0.38/0.61 (define @t300 () (not @t298)) % 0.38/0.61 (define @t301 () (or @t300 @t299)) % 0.38/0.61 (define @t302 () (@var "BOUND_VARIABLE_7645" $$unsorted)) % 0.38/0.61 (define @t303 () (= @t1 @t302)) % 0.38/0.61 (define @t304 () (and (tptp.r1 @t302) @t303)) % 0.38/0.61 (define @t305 () (not @t303)) % 0.38/0.61 (define @t306 () (@list @t302)) % 0.38/0.61 (define @t307 () (or @t305 @t305 @t304)) % 0.38/0.61 (define @t308 () (or @t305 @t304)) % 0.38/0.61 (define @t309 () (forall @t306 @t308)) % 0.38/0.61 (define @t310 () (= @t1 @t2)) % 0.38/0.61 (define @t311 () (and @t4 @t310)) % 0.38/0.61 (define @t312 () (not @t310)) % 0.38/0.61 (define @t313 () (or @t312 @t311)) % 0.38/0.61 (define @t314 () (forall @t10 @t313)) % 0.38/0.61 (define @t315 () (@list @t2)) % 0.38/0.61 (define @t316 () (or @t7 @t311)) % 0.38/0.61 (define @t317 () (forall @t10 @t316)) % 0.38/0.61 (define @t318 () (and @t317 @t314)) % 0.38/0.61 (define @t319 () (tptp.r1 @t238)) % 0.38/0.61 (define @t320 () (not @t319)) % 0.38/0.61 (define @t321 () (or (not (forall @t235 (or @t234 (and @t233 (= @t232 @t238))))) @t320)) % 0.38/0.61 (define @t322 () (not @t321)) % 0.38/0.61 (define @t323 () (not @t237)) % 0.38/0.61 (define @t324 () (and @t233 (= @t238 @t232))) % 0.38/0.61 (define @t325 () (or @t234 @t324)) % 0.38/0.61 (define @t326 () (forall @t235 @t325)) % 0.38/0.61 (define @t327 () (not @t326)) % 0.38/0.61 (define @t328 () (or @t327 @t320)) % 0.38/0.61 (define @t329 () (not @t328)) % 0.38/0.61 (define @t330 () (or @t251 @t253 @t320 @t285)) % 0.38/0.61 (define @t331 () (not @t330)) % 0.38/0.61 (assume @p1 @t13) % 0.38/0.61 (assume @p2 @t28) % 0.38/0.61 (assume @p3 (forall (@list @t33 @t32) (exists (@list @t29) (forall (@list @t30) (or (and (not @t34) (not @t31)) (and @t34 @t31)))))) % 0.38/0.61 (assume @p4 (forall (@list @t39 @t38) (exists (@list @t35) (forall (@list @t36) (or (and (not @t40) (not @t37)) (and @t40 @t37)))))) % 0.38/0.61 (assume @p5 @t64) % 0.38/0.61 (assume @p6 (forall (@list @t67 @t66) (exists @t73 (and (exists (@list @t70) (and (exists (@list @t72) (and (tptp.r2 @t66 @t72) (tptp.r4 @t67 @t72 @t70))) @t71)) (exists @t69 (and (tptp.r3 @t65 @t67 @t68) (tptp.r4 @t67 @t66 @t65))))))) % 0.38/0.61 (assume @p7 (forall (@list @t75 @t74) (or (forall (@list @t76) (or (forall (@list @t77) (or (not (tptp.r2 @t75 @t77)) (not (= @t77 @t76)))) (not (tptp.r2 @t74 @t76)))) (= @t75 @t74)))) % 0.38/0.61 (assume @p8 (forall (@list @t78) (exists (@list @t79) (and (exists (@list @t80) (and (tptp.r1 @t80) (tptp.r3 @t78 @t80 @t79))) (= @t79 @t78))))) % 0.38/0.61 (assume @p9 (forall (@list @t84) (exists (@list @t82) (and (exists (@list @t83) (and (tptp.r1 @t83) (tptp.r4 @t84 @t83 @t82))) (exists (@list @t81) (and (tptp.r1 @t81) (= @t82 @t81))))))) % 0.38/0.61 (assume @p10 (forall (@list @t86) (or (exists (@list @t88) (and (tptp.r1 @t88) (= @t86 @t88))) (exists (@list @t87 @t85) (and (tptp.r2 @t87 @t85) (= @t86 @t85)))))) % 0.38/0.61 (assume @p11 (forall (@list @t90 @t89) (or (forall (@list @t91) (or (not (tptp.r1 @t91)) (not (= @t91 @t89)))) (not (tptp.r2 @t90 @t89))))) % 0.38/0.61 (assume @p12 @t105) % 0.38/0.61 (assume @p13 true) % 0.38/0.61 (step @p14 :rule bool-double-not-elim :args (@t115)) % 0.38/0.61 (step @p15 :rule aci_norm :args ((= (or false @t112 @t111 @t109 @t108) @t113))) % 0.38/0.61 (step @p16 :rule refl :args (@t108)) % 0.38/0.61 (step @p17 :rule refl :args (@t109)) % 0.38/0.61 (step @p18 :rule refl :args (@t111)) % 0.38/0.61 (step @p19 :rule refl :args (@t112)) % 0.38/0.61 (step @p20 :rule evaluate :args ((not true))) % 0.38/0.61 (step @p21 :rule eq-refl :args (@t70)) % 0.38/0.61 (step @p22 :rule cong :premises (@p21) :args (@t116)) % 0.38/0.61 (step @p23 :rule trans :premises (@p22 @p20)) % 0.38/0.61 (step @p24 :rule nary_cong :premises (@p23 @p19 @p18 @p17 @p16) :args (@t117)) % 0.38/0.61 (step @p25 :rule trans :premises (@p24 @p15)) % 0.38/0.61 (step @p26 :rule cong :premises (@p25) :args ((forall @t114 @t117))) % 0.38/0.61 (step @p27 :rule quant-var-elim-eq :args ((= (forall @t73 @t120) @t117))) % 0.38/0.61 (step @p28 :rule aci_norm :args ((= @t121 @t120))) % 0.38/0.61 (step @p29 :rule cong :premises (@p28) :args (@t122)) % 0.38/0.61 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.61 (step @p31 :rule cong :premises (@p30) :args (@t123)) % 0.38/0.61 (step @p32 :rule quant-merge-prenex :args ((= @t123 @t124))) % 0.38/0.61 (step @p33 :rule symm :premises (@p32)) % 0.38/0.61 (step @p34 :rule quant_var_reordering :args ((= (forall @t125 @t121) @t124))) % 0.38/0.61 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 0.38/0.61 (step @p36 :rule trans :premises (@p35 @p26)) % 0.38/0.61 (step @p37 :rule aci_norm :args ((= @t126 @t121))) % 0.38/0.61 (step @p38 :rule cong :premises (@p37) :args (@t127)) % 0.38/0.61 (step @p39 :rule trans :premises (@p38 @p36)) % 0.38/0.61 (step @p40 :rule quant-merge-prenex :args ((= (forall @t103 @t129) @t127))) % 0.38/0.61 (step @p41 :rule alpha_equiv :args (@t130 (@list @t110 @t106 @t107) (@list @t45 @t132 @t131))) % 0.38/0.61 (step @p42 :rule refl :args (@t119)) % 0.38/0.61 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t133)) % 0.38/0.61 (step @p44 :rule quant-miniscope-or :args ((= @t129 @t133))) % 0.38/0.61 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.61 (step @p46 :rule symm :premises (@p45)) % 0.38/0.61 (step @p47 :rule cong :premises (@p46) :args ((forall @t103 (or @t119 @t140)))) % 0.38/0.61 (step @p48 :rule trans :premises (@p47 @p40)) % 0.38/0.61 (step @p49 :rule trans :premises (@p48 @p39)) % 0.38/0.61 (step @p50 :rule bool-double-not-elim :args (@t140)) % 0.38/0.61 (step @p51 :rule nary_cong :premises (@p42 @p50) :args ((or @t119 (not @t141)))) % 0.38/0.61 (step @p52 :rule bool-and-de-morgan :args (@t118 @t141 true)) % 0.38/0.61 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.61 (step @p54 :rule cong :premises (@p53) :args (@t143)) % 0.38/0.61 (step @p55 :rule trans :premises (@p54 @p49)) % 0.38/0.61 (step @p56 :rule cong :premises (@p55) :args (@t144)) % 0.38/0.61 (step @p57 :rule exists-elim :args ((= (exists @t103 @t142) @t144))) % 0.38/0.61 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.61 (step @p59 :rule aci_norm :args ((= @t146 @t138))) % 0.38/0.61 (step @p60 :rule cong :premises (@p59) :args (@t147)) % 0.38/0.61 (step @p61 :rule quant-merge-prenex :args ((= (forall @t62 @t149) @t147))) % 0.38/0.61 (step @p62 :rule alpha_equiv :args (@t150 (@list @t132 @t131) (@list @t50 @t151))) % 0.38/0.61 (step @p63 :rule refl :args (@t137)) % 0.38/0.61 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t152)) % 0.38/0.61 (step @p65 :rule quant-miniscope-or :args ((= @t149 @t152))) % 0.38/0.61 (step @p66 :rule trans :premises (@p65 @p64)) % 0.38/0.61 (step @p67 :rule symm :premises (@p66)) % 0.38/0.61 (step @p68 :rule cong :premises (@p67) :args ((forall @t62 (or @t137 @t158)))) % 0.38/0.61 (step @p69 :rule trans :premises (@p68 @p61)) % 0.38/0.61 (step @p70 :rule trans :premises (@p69 @p60)) % 0.38/0.61 (step @p71 :rule bool-double-not-elim :args (@t158)) % 0.38/0.61 (step @p72 :rule nary_cong :premises (@p63 @p71) :args ((or @t137 (not @t159)))) % 0.38/0.61 (step @p73 :rule bool-and-de-morgan :args (@t99 @t159 true)) % 0.38/0.61 (step @p74 :rule trans :premises (@p73 @p72)) % 0.38/0.61 (step @p75 :rule cong :premises (@p74) :args (@t161)) % 0.38/0.61 (step @p76 :rule trans :premises (@p75 @p70)) % 0.38/0.61 (step @p77 :rule cong :premises (@p76) :args (@t162)) % 0.38/0.61 (step @p78 :rule exists-elim :args ((= (exists @t62 @t160) @t162))) % 0.38/0.61 (step @p79 :rule trans :premises (@p78 @p77)) % 0.38/0.61 (step @p80 :rule aci_norm :args ((= @t164 @t156))) % 0.38/0.61 (step @p81 :rule cong :premises (@p80) :args (@t165)) % 0.38/0.61 (step @p82 :rule quant-merge-prenex :args ((= (forall @t59 @t167) @t165))) % 0.38/0.61 (step @p83 :rule alpha_equiv :args (@t168 (@list @t151) (@list @t65))) % 0.38/0.61 (step @p84 :rule refl :args (@t155)) % 0.38/0.61 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t169)) % 0.38/0.61 (step @p86 :rule quant-miniscope-or :args ((= @t167 @t169))) % 0.38/0.61 (step @p87 :rule trans :premises (@p86 @p85)) % 0.38/0.61 (step @p88 :rule symm :premises (@p87)) % 0.38/0.61 (step @p89 :rule cong :premises (@p88) :args ((forall @t59 (or @t155 @t170)))) % 0.38/0.61 (step @p90 :rule trans :premises (@p89 @p82)) % 0.38/0.61 (step @p91 :rule trans :premises (@p90 @p81)) % 0.38/0.61 (step @p92 :rule bool-double-not-elim :args (@t170)) % 0.38/0.61 (step @p93 :rule nary_cong :premises (@p84 @p92) :args ((or @t155 (not @t171)))) % 0.38/0.61 (step @p94 :rule bool-and-de-morgan :args (@t96 @t171 true)) % 0.38/0.61 (step @p95 :rule trans :premises (@p94 @p93)) % 0.38/0.61 (step @p96 :rule cong :premises (@p95) :args (@t173)) % 0.38/0.61 (step @p97 :rule trans :premises (@p96 @p91)) % 0.38/0.61 (step @p98 :rule cong :premises (@p97) :args (@t174)) % 0.38/0.61 (step @p99 :rule exists-elim :args ((= (exists @t59 @t172) @t174))) % 0.38/0.61 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.61 (step @p101 :rule bool-and-de-morgan :args (@t93 @t92 true)) % 0.38/0.61 (step @p102 :rule cong :premises (@p101) :args (@t175)) % 0.38/0.61 (step @p103 :rule cong :premises (@p102) :args (@t176)) % 0.38/0.61 (step @p104 :rule exists-elim :args ((= @t95 @t176))) % 0.38/0.61 (step @p105 :rule trans :premises (@p104 @p103)) % 0.38/0.61 (step @p106 :rule refl :args (@t96)) % 0.38/0.61 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t97)) % 0.38/0.61 (step @p108 :rule cong :premises (@p107) :args (@t98)) % 0.38/0.61 (step @p109 :rule trans :premises (@p108 @p100)) % 0.38/0.61 (step @p110 :rule refl :args (@t99)) % 0.38/0.61 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t100)) % 0.38/0.61 (step @p112 :rule cong :premises (@p111) :args (@t101)) % 0.38/0.61 (step @p113 :rule trans :premises (@p112 @p79)) % 0.38/0.61 (step @p114 :rule eq-symm :args (@t70 @t68)) % 0.38/0.61 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t102)) % 0.38/0.61 (step @p116 :rule cong :premises (@p115) :args (@t104)) % 0.38/0.61 (step @p117 :rule trans :premises (@p116 @p58)) % 0.38/0.61 (step @p118 :rule cong :premises (@p117) :args (@t105)) % 0.38/0.61 (step @p119 :rule trans :premises (@p118 @p14)) % 0.38/0.61 (step @p120 :rule eq_resolve :premises (@p12 @p119)) % 0.38/0.61 (step @p121 :rule aci_norm :args ((= @t185 (or @t182 @t181 @t179 @t178)))) % 0.38/0.61 (step @p122 :rule cong :premises (@p121) :args (@t187)) % 0.38/0.61 (step @p123 :rule quant-merge-prenex :args ((= (forall @t62 @t188) @t187))) % 0.38/0.61 (step @p124 :rule alpha_equiv :args (@t189 (@list @t177) (@list @t41))) % 0.38/0.61 (step @p125 :rule alpha_equiv :args (@t190 (@list @t180) @t192)) % 0.38/0.61 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t193)) % 0.38/0.61 (step @p127 :rule quant-miniscope-or :args ((= @t188 @t193))) % 0.38/0.61 (step @p128 :rule trans :premises (@p127 @p126)) % 0.38/0.61 (step @p129 :rule symm :premises (@p128)) % 0.38/0.61 (step @p130 :rule cong :premises (@p129) :args ((forall @t62 (or @t199 @t194)))) % 0.38/0.61 (step @p131 :rule trans :premises (@p130 @p123)) % 0.38/0.61 (step @p132 :rule trans :premises (@p131 @p122)) % 0.38/0.61 (step @p133 :rule bool-double-not-elim :args (@t194)) % 0.38/0.61 (step @p134 :rule bool-double-not-elim :args (@t199)) % 0.38/0.61 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t201) (not @t200)))) % 0.38/0.61 (step @p136 :rule bool-and-de-morgan :args (@t201 @t200 true)) % 0.38/0.61 (step @p137 :rule trans :premises (@p136 @p135)) % 0.38/0.61 (step @p138 :rule cong :premises (@p137) :args (@t203)) % 0.38/0.61 (step @p139 :rule trans :premises (@p138 @p132)) % 0.38/0.61 (step @p140 :rule cong :premises (@p139) :args (@t204)) % 0.38/0.61 (step @p141 :rule exists-elim :args ((= (exists @t62 @t202) @t204))) % 0.38/0.61 (step @p142 :rule trans :premises (@p141 @p140)) % 0.38/0.61 (step @p143 :rule bool-and-de-morgan :args (@t46 @t44 true)) % 0.38/0.61 (step @p144 :rule cong :premises (@p143) :args (@t205)) % 0.38/0.61 (step @p145 :rule cong :premises (@p144) :args (@t206)) % 0.38/0.61 (step @p146 :rule exists-elim :args ((= @t49 @t206))) % 0.38/0.61 (step @p147 :rule trans :premises (@p146 @p145)) % 0.38/0.61 (step @p148 :rule aci_norm :args ((= (or false @t196 @t195) @t197))) % 0.38/0.61 (step @p149 :rule refl :args (@t195)) % 0.38/0.61 (step @p150 :rule refl :args (@t196)) % 0.38/0.61 (step @p151 :rule eq-refl :args (@t45)) % 0.38/0.61 (step @p152 :rule cong :premises (@p151) :args (@t207)) % 0.38/0.61 (step @p153 :rule trans :premises (@p152 @p20)) % 0.38/0.61 (step @p154 :rule nary_cong :premises (@p153 @p150 @p149) :args (@t208)) % 0.38/0.61 (step @p155 :rule trans :premises (@p154 @p148)) % 0.38/0.61 (step @p156 :rule cong :premises (@p155) :args ((forall @t198 @t208))) % 0.38/0.61 (step @p157 :rule quant-var-elim-eq :args ((= (forall @t59 (or (not @t51) @t211 @t196 @t209)) @t208))) % 0.38/0.61 (step @p158 :rule refl :args (@t209)) % 0.38/0.61 (step @p159 :rule refl :args (@t196)) % 0.38/0.61 (step @p160 :rule refl :args (@t211)) % 0.38/0.61 (step @p161 :rule eq-symm :args (@t45 @t50)) % 0.38/0.61 (step @p162 :rule cong :premises (@p161) :args (@t211)) % 0.38/0.61 (step @p163 :rule nary_cong :premises (@p162 @p160 @p159 @p158) :args (@t212)) % 0.38/0.61 (step @p164 :rule aci_norm :args ((= @t213 @t212))) % 0.38/0.61 (step @p165 :rule trans :premises (@p164 @p163)) % 0.38/0.61 (step @p166 :rule cong :premises (@p165) :args (@t214)) % 0.38/0.61 (step @p167 :rule trans :premises (@p166 @p157)) % 0.38/0.61 (step @p168 :rule cong :premises (@p167) :args (@t215)) % 0.38/0.61 (step @p169 :rule quant-merge-prenex :args ((= @t215 @t216))) % 0.38/0.61 (step @p170 :rule symm :premises (@p169)) % 0.38/0.61 (step @p171 :rule quant_var_reordering :args ((= (forall @t217 @t213) @t216))) % 0.38/0.61 (step @p172 :rule trans :premises (@p171 @p170 @p168)) % 0.38/0.61 (step @p173 :rule trans :premises (@p172 @p156)) % 0.38/0.61 (step @p174 :rule aci_norm :args ((= @t219 @t213))) % 0.38/0.61 (step @p175 :rule cong :premises (@p174) :args (@t220)) % 0.38/0.61 (step @p176 :rule trans :premises (@p175 @p173)) % 0.38/0.61 (step @p177 :rule quant-merge-prenex :args ((= (forall @t59 @t221) @t220))) % 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(step @p192 :rule cong :premises (@p191) :args (@t228)) % 0.38/0.61 (step @p193 :rule exists-elim :args ((= (exists @t59 @t226) @t228))) % 0.38/0.61 (step @p194 :rule trans :premises (@p193 @p192)) % 0.38/0.61 (step @p195 :rule eq-symm :args (@t50 @t45)) % 0.38/0.61 (step @p196 :rule bool-and-de-morgan :args (@t54 @t53 true)) % 0.38/0.61 (step @p197 :rule cong :premises (@p196) :args (@t229)) % 0.38/0.61 (step @p198 :rule cong :premises (@p197) :args (@t230)) % 0.38/0.61 (step @p199 :rule exists-elim :args ((= @t57 @t230))) % 0.38/0.61 (step @p200 :rule trans :premises (@p199 @p198)) % 0.38/0.61 (step @p201 :rule nary_cong :premises (@p200 @p195) :args (@t58)) % 0.38/0.61 (step @p202 :rule cong :premises (@p201) :args (@t60)) % 0.38/0.61 (step @p203 :rule trans :premises (@p202 @p194)) % 0.38/0.61 (step @p204 :rule nary_cong :premises (@p203 @p147) :args (@t61)) % 0.38/0.61 (step @p205 :rule cong :premises (@p204) :args (@t63)) % 0.38/0.61 (step @p206 :rule trans :premises (@p205 @p142)) % 0.38/0.61 (step @p207 :rule cong :premises (@p206) :args (@t64)) % 0.38/0.61 (step @p208 :rule eq_resolve :premises (@p5 @p207)) % 0.38/0.61 (step @p209 :rule instantiate :premises (@p208) :args ((@list @t238 @t245))) % 0.38/0.61 (step @p210 :rule skolemize :premises (@p209)) % 0.38/0.61 (step @p211 :rule bool-double-not-elim :args (@t249)) % 0.38/0.61 (step @p212 :rule refl :args (@t254)) % 0.38/0.61 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or @t254 (not @t251)))) % 0.38/0.61 (step @p214 :rule cnf_or_neg :args (@t254 1)) % 0.38/0.61 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.38/0.61 (step @p216 :rule reordering :premises (@p215) :args ((or @t249 @t254))) % 0.38/0.61 (step @p217 :rule chain_m_resolution :premises (@p216 @p210) :args (@t249 @t255 @t256)) % 0.38/0.61 (step @p218 :rule bool-double-not-elim :args (@t252)) % 0.38/0.61 (step @p219 :rule nary_cong :premises (@p212 @p218) :args ((or @t254 (not @t253)))) % 0.38/0.61 (step @p220 :rule cnf_or_neg :args (@t254 0)) % 0.38/0.61 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.38/0.61 (step @p222 :rule reordering :premises (@p221) :args ((or @t252 @t254))) % 0.38/0.61 (step @p223 :rule chain_m_resolution :premises (@p222 @p210) :args (@t252 @t255 @t256)) % 0.38/0.61 (step @p224 :rule bool-and-de-morgan :args (@t258 @t259 true)) % 0.38/0.61 (step @p225 :rule cong :premises (@p224) :args (@t261)) % 0.38/0.61 (step @p226 :rule cong :premises (@p225) :args (@t262)) % 0.38/0.61 (step @p227 :rule exists-elim :args ((= (exists @t26 @t260) @t262))) % 0.38/0.61 (step @p228 :rule trans :premises (@p227 @p226)) % 0.38/0.61 (step @p229 :rule aci_norm :args ((= (or false @t259) @t259))) % 0.38/0.61 (step @p230 :rule aci_norm :args ((= (and @t259 true) @t259))) % 0.38/0.61 (step @p231 :rule eq-refl :args (@t14)) % 0.38/0.61 (step @p232 :rule refl :args (@t259)) % 0.38/0.61 (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t264)) % 0.38/0.61 (step @p234 :rule trans :premises (@p233 @p230)) % 0.38/0.61 (step @p235 :rule cong :premises (@p231) :args (@t265)) % 0.38/0.61 (step @p236 :rule trans :premises (@p235 @p20)) % 0.38/0.61 (step @p237 :rule nary_cong :premises (@p236 @p234) :args (@t266)) % 0.38/0.61 (step @p238 :rule trans :premises (@p237 @p229)) % 0.38/0.61 (step @p239 :rule quant-var-elim-eq :args ((= (forall @t271 (or (not (= @t267 @t14)) @t270 @t269)) @t266))) % 0.38/0.61 (step @p240 :rule refl :args (@t269)) % 0.38/0.61 (step @p241 :rule refl :args (@t270)) % 0.38/0.61 (step @p242 :rule eq-symm :args (@t14 @t267)) % 0.38/0.61 (step @p243 :rule cong :premises (@p242) :args (@t270)) % 0.38/0.61 (step @p244 :rule nary_cong :premises (@p243 @p241 @p240) :args (@t272)) % 0.38/0.61 (step @p245 :rule aci_norm :args ((= @t273 @t272))) % 0.38/0.61 (step @p246 :rule trans :premises (@p245 @p244)) % 0.38/0.61 (step @p247 :rule cong :premises (@p246) :args (@t274)) % 0.38/0.61 (step @p248 :rule trans :premises (@p247 @p239)) % 0.38/0.61 (step @p249 :rule trans :premises (@p248 @p238)) % 0.38/0.61 (step @p250 :rule refl :args (@t258)) % 0.38/0.61 (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((and @t258 @t274))) % 0.38/0.61 (step @p252 :rule alpha_equiv :args (@t279 @t280 (@list @t267))) % 0.38/0.61 (step @p253 :rule alpha_equiv :args (@t282 @t280 (@list @t239))) % 0.38/0.61 (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t283)) % 0.38/0.61 (step @p255 :rule quant-miniscope-and :args ((= (forall @t24 (and @t281 @t278)) @t283))) % 0.38/0.61 (step @p256 :rule trans :premises (@p255 @p254)) % 0.38/0.61 (step @p257 :rule trans :premises (@p256 @p251)) % 0.38/0.61 (step @p258 :rule bool-or-and-distrib :args (@t21 @t277 true @t276 false)) % 0.38/0.61 (step @p259 :rule cong :premises (@p258) :args ((forall @t24 (or (and @t21 @t277) @t276)))) % 0.38/0.61 (step @p260 :rule trans :premises (@p259 @p257)) % 0.38/0.61 (step @p261 :rule eq-symm :args (@t15 @t14)) % 0.38/0.61 (step @p262 :rule refl :args (@t18)) % 0.38/0.61 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t19)) % 0.38/0.61 (step @p264 :rule cong :premises (@p261) :args (@t20)) % 0.38/0.61 (step @p265 :rule refl :args (@t21)) % 0.38/0.61 (step @p266 :rule nary_cong :premises (@p265 @p264) :args (@t22)) % 0.38/0.61 (step @p267 :rule nary_cong :premises (@p266 @p263) :args (@t23)) % 0.38/0.61 (step @p268 :rule cong :premises (@p267) :args (@t25)) % 0.38/0.61 (step @p269 :rule trans :premises (@p268 @p260)) % 0.38/0.61 (step @p270 :rule cong :premises (@p269) :args (@t27)) % 0.38/0.61 (step @p271 :rule trans :premises (@p270 @p228)) % 0.38/0.61 (step @p272 :rule cong :premises (@p271) :args (@t28)) % 0.38/0.61 (step @p273 :rule eq_resolve :premises (@p2 @p272)) % 0.38/0.61 (step @p274 :rule instantiate :premises (@p273) :args ((@list @t238))) % 0.38/0.61 (step @p275 :rule refl :args (@t287)) % 0.38/0.61 (step @p276 :rule bool-double-not-elim :args (@t244)) % 0.38/0.61 (step @p277 :rule nary_cong :premises (@p276 @p275) :args ((or (not @t288) @t287))) % 0.38/0.61 (step @p278 :rule refl :args (@t285)) % 0.38/0.61 (step @p279 :rule eq-symm :args (@t245 @t239)) % 0.38/0.61 (step @p280 :rule refl :args (@t241)) % 0.38/0.61 (step @p281 :rule nary_cong :premises (@p280 @p279) :args (@t289)) % 0.38/0.61 (step @p282 :rule refl :args (@t242)) % 0.38/0.61 (step @p283 :rule nary_cong :premises (@p282 @p281) :args (@t290)) % 0.38/0.61 (step @p284 :rule cong :premises (@p283) :args (@t291)) % 0.38/0.61 (step @p285 :rule cong :premises (@p284) :args (@t292)) % 0.38/0.61 (step @p286 :rule nary_cong :premises (@p285 @p278) :args (@t293)) % 0.38/0.61 (step @p287 :rule cong :premises (@p286) :args (@t294)) % 0.38/0.61 (step @p288 :rule refl :args (@t288)) % 0.38/0.61 (step @p289 :rule cong :premises (@p288 @p287) :args ((=> @t288 @t294))) % 0.38/0.61 (assume-push @p393 @t288) % 0.38/0.61 (step @p291 :rule skolemize :premises (@p274)) % 0.38/0.61 (step-pop @p394 :rule scope :premises (@p291)) % 0.38/0.61 (step @p292 :rule process_scope :premises (@p394) :args (@t294)) % 0.38/0.61 (step @p294 :rule eq_resolve :premises (@p292 @p289)) % 0.38/0.61 (step @p295 :rule implies_elim :premises (@p294)) % 0.38/0.61 (step @p296 :rule eq_resolve :premises (@p295 @p277)) % 0.38/0.61 (step @p297 :rule chain_m_resolution :premises (@p296 @p274) :args (@t287 @t255 (@list @t244))) % 0.38/0.61 (step @p298 :rule bool-double-not-elim :args (@t284)) % 0.38/0.61 (step @p299 :rule refl :args (@t286)) % 0.38/0.61 (step @p300 :rule nary_cong :premises (@p299 @p298) :args ((or @t286 (not @t285)))) % 0.38/0.61 (step @p301 :rule cnf_or_neg :args (@t286 1)) % 0.38/0.61 (step @p302 :rule eq_resolve :premises (@p301 @p300)) % 0.38/0.61 (step @p303 :rule reordering :premises (@p302) :args ((or @t284 @t286))) % 0.38/0.61 (step @p304 :rule chain_m_resolution :premises (@p303 @p297) :args (@t284 @t255 (@list @t286))) % 0.38/0.61 (step @p305 :rule bool-and-de-morgan :args (@t236 @t231 true)) % 0.38/0.61 (step @p306 :rule cong :premises (@p305) :args (@t296)) % 0.38/0.61 (step @p307 :rule cong :premises (@p306) :args (@t297)) % 0.38/0.61 (step @p308 :rule exists-elim :args ((= (exists @t12 @t295) @t297))) % 0.38/0.61 (step @p309 :rule trans :premises (@p308 @p307)) % 0.38/0.61 (step @p310 :rule aci_norm :args ((= (or false @t231) @t231))) % 0.38/0.61 (step @p311 :rule aci_norm :args ((= (and @t231 true) @t231))) % 0.38/0.61 (step @p312 :rule eq-refl :args (@t1)) % 0.38/0.61 (step @p313 :rule refl :args (@t231)) % 0.38/0.61 (step @p314 :rule nary_cong :premises (@p313 @p312) :args (@t299)) % 0.38/0.61 (step @p315 :rule trans :premises (@p314 @p311)) % 0.38/0.61 (step @p316 :rule cong :premises (@p312) :args (@t300)) % 0.38/0.61 (step @p317 :rule trans :premises (@p316 @p20)) % 0.38/0.61 (step @p318 :rule nary_cong :premises (@p317 @p315) :args (@t301)) % 0.38/0.61 (step @p319 :rule trans :premises (@p318 @p310)) % 0.38/0.61 (step @p320 :rule quant-var-elim-eq :args ((= (forall @t306 (or (not (= @t302 @t1)) @t305 @t304)) @t301))) % 0.38/0.61 (step @p321 :rule refl :args (@t304)) % 0.38/0.61 (step @p322 :rule refl :args (@t305)) % 0.38/0.61 (step @p323 :rule eq-symm :args (@t1 @t302)) % 0.38/0.61 (step @p324 :rule cong :premises (@p323) :args (@t305)) % 0.38/0.61 (step @p325 :rule nary_cong :premises (@p324 @p322 @p321) :args (@t307)) % 0.38/0.61 (step @p326 :rule aci_norm :args ((= @t308 @t307))) % 0.38/0.61 (step @p327 :rule trans :premises (@p326 @p325)) % 0.38/0.61 (step @p328 :rule cong :premises (@p327) :args (@t309)) % 0.38/0.61 (step @p329 :rule trans :premises (@p328 @p320)) % 0.38/0.61 (step @p330 :rule trans :premises (@p329 @p319)) % 0.38/0.61 (step @p331 :rule refl :args (@t236)) % 0.38/0.61 (step @p332 :rule nary_cong :premises (@p331 @p330) :args ((and @t236 @t309))) % 0.38/0.61 (step @p333 :rule alpha_equiv :args (@t314 @t315 (@list @t302))) % 0.38/0.61 (step @p334 :rule alpha_equiv :args (@t317 @t315 (@list @t232))) % 0.38/0.61 (step @p335 :rule nary_cong :premises (@p334 @p333) :args (@t318)) % 0.38/0.61 (step @p336 :rule quant-miniscope-and :args ((= (forall @t10 (and @t316 @t313)) @t318))) % 0.38/0.61 (step @p337 :rule trans :premises (@p336 @p335)) % 0.38/0.61 (step @p338 :rule trans :premises (@p337 @p332)) % 0.38/0.61 (step @p339 :rule bool-or-and-distrib :args (@t7 @t312 true @t311 false)) % 0.38/0.61 (step @p340 :rule cong :premises (@p339) :args ((forall @t10 (or (and @t7 @t312) @t311)))) % 0.38/0.61 (step @p341 :rule trans :premises (@p340 @p338)) % 0.38/0.61 (step @p342 :rule eq-symm :args (@t2 @t1)) % 0.38/0.61 (step @p343 :rule refl :args (@t4)) % 0.38/0.61 (step @p344 :rule nary_cong :premises (@p343 @p342) :args (@t5)) % 0.38/0.61 (step @p345 :rule cong :premises (@p342) :args (@t6)) % 0.38/0.61 (step @p346 :rule refl :args (@t7)) % 0.38/0.61 (step @p347 :rule nary_cong :premises (@p346 @p345) :args (@t8)) % 0.38/0.61 (step @p348 :rule nary_cong :premises (@p347 @p344) :args (@t9)) % 0.38/0.61 (step @p349 :rule cong :premises (@p348) :args (@t11)) % 0.38/0.61 (step @p350 :rule trans :premises (@p349 @p341)) % 0.38/0.61 (step @p351 :rule cong :premises (@p350) :args (@t13)) % 0.38/0.61 (step @p352 :rule trans :premises (@p351 @p309)) % 0.38/0.61 (step @p353 :rule eq_resolve :premises (@p1 @p352)) % 0.38/0.61 (step @p354 :rule refl :args (@t322)) % 0.38/0.61 (step @p355 :rule bool-double-not-elim :args (@t237)) % 0.38/0.61 (step @p356 :rule nary_cong :premises (@p355 @p354) :args ((or (not @t323) @t322))) % 0.38/0.61 (step @p357 :rule refl :args (@t320)) % 0.38/0.61 (step @p358 :rule eq-symm :args (@t238 @t232)) % 0.38/0.61 (step @p359 :rule refl :args (@t233)) % 0.38/0.61 (step @p360 :rule nary_cong :premises (@p359 @p358) :args (@t324)) % 0.38/0.61 (step @p361 :rule refl :args (@t234)) % 0.38/0.61 (step @p362 :rule nary_cong :premises (@p361 @p360) :args (@t325)) % 0.38/0.61 (step @p363 :rule cong :premises (@p362) :args (@t326)) % 0.38/0.61 (step @p364 :rule cong :premises (@p363) :args (@t327)) % 0.38/0.61 (step @p365 :rule nary_cong :premises (@p364 @p357) :args (@t328)) % 0.38/0.61 (step @p366 :rule cong :premises (@p365) :args (@t329)) % 0.38/0.61 (step @p367 :rule refl :args (@t323)) % 0.38/0.61 (step @p368 :rule cong :premises (@p367 @p366) :args ((=> @t323 @t329))) % 0.38/0.61 (assume-push @p395 @t323) % 0.38/0.61 (step @p370 :rule skolemize :premises (@p353)) % 0.38/0.61 (step-pop @p396 :rule scope :premises (@p370)) % 0.38/0.61 (step @p371 :rule process_scope :premises (@p396) :args (@t329)) % 0.38/0.61 (step @p373 :rule eq_resolve :premises (@p371 @p368)) % 0.38/0.61 (step @p374 :rule implies_elim :premises (@p373)) % 0.38/0.61 (step @p375 :rule eq_resolve :premises (@p374 @p356)) % 0.38/0.61 (step @p376 :rule chain_m_resolution :premises (@p375 @p353) :args (@t322 @t255 (@list @t237))) % 0.38/0.61 (step @p377 :rule bool-double-not-elim :args (@t319)) % 0.38/0.61 (step @p378 :rule refl :args (@t321)) % 0.38/0.61 (step @p379 :rule nary_cong :premises (@p378 @p377) :args ((or @t321 (not @t320)))) % 0.38/0.61 (step @p380 :rule cnf_or_neg :args (@t321 1)) % 0.38/0.61 (step @p381 :rule eq_resolve :premises (@p380 @p379)) % 0.38/0.61 (step @p382 :rule reordering :premises (@p381) :args ((or @t319 @t321))) % 0.38/0.61 (step @p383 :rule chain_m_resolution :premises (@p382 @p376) :args (@t319 @t255 (@list @t321))) % 0.38/0.61 (step @p384 :rule cnf_or_pos :args (@t330)) % 0.38/0.61 (step @p385 :rule reordering :premises (@p384) :args ((or @t320 @t285 @t253 @t251 @t331))) % 0.38/0.61 (step @p386 :rule chain_m_resolution :premises (@p385 @p383 @p304 @p223 @p217) :args (@t331 (@list false false false false) (@list @t319 @t284 @t252 @t249))) % 0.38/0.61 (assume-push @p397 @t115) % 0.38/0.61 (step @p388 :rule instantiate :premises (@p120) :args ((@list @t238 @t247 @t248 @t245 @t238))) % 0.38/0.61 (step-pop @p398 :rule scope :premises (@p388)) % 0.38/0.61 (step @p389 :rule process_scope :premises (@p398) :args (@t330)) % 0.38/0.61 (step @p391 :rule implies_elim :premises (@p389)) % 0.38/0.61 (step @p392 false :rule chain_m_resolution :premises (@p391 @p386 @p120) :args (false (@list true false) (@list @t330 @t115))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------