%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN059+2 : TPTP v9.2.1. Bugfixed v7.4.0. % 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 08:42:51 AM UTC 2026 % Result : Theorem 0.16s 0.41s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUN059+2 : TPTP v9.2.1. Bugfixed v7.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.25 % Computer : n024.cluster.edu % 0.09/0.25 % Model : x86_64 x86_64 % 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.25 % Memory : 8042.1875MB % 0.09/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.25 % CPULimit : 300 % 0.09/0.25 % WCLimit : 300 % 0.09/0.25 % DateTime : Tue Jun 2 07:38:00 EDT 2026 % 0.09/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.41 % SZS status Theorem % 0.16/0.41 % SZS output start Proof % 0.16/0.41 ( % 0.16/0.41 (declare-sort $$unsorted 0) % 0.16/0.41 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.16/0.41 (define @t1 () (@var "Y24" $$unsorted)) % 0.16/0.41 (define @t2 () (@var "X19" $$unsorted)) % 0.16/0.41 (define @t3 () (= @t2 @t1)) % 0.16/0.41 (define @t4 () (tptp.r1 @t2)) % 0.16/0.41 (define @t5 () (and @t4 @t3)) % 0.16/0.41 (define @t6 () (not @t3)) % 0.16/0.41 (define @t7 () (not @t4)) % 0.16/0.41 (define @t8 () (and @t7 @t6)) % 0.16/0.41 (define @t9 () (or @t8 @t5)) % 0.16/0.41 (define @t10 () (@list @t2)) % 0.16/0.41 (define @t11 () (forall @t10 @t9)) % 0.16/0.41 (define @t12 () (@list @t1)) % 0.16/0.41 (define @t13 () (exists @t12 @t11)) % 0.16/0.41 (define @t14 () (@var "Y21" $$unsorted)) % 0.16/0.41 (define @t15 () (@var "X12" $$unsorted)) % 0.16/0.41 (define @t16 () (= @t15 @t14)) % 0.16/0.41 (define @t17 () (@var "X11" $$unsorted)) % 0.16/0.41 (define @t18 () (tptp.r2 @t17 @t15)) % 0.16/0.41 (define @t19 () (@var "Y22" $$unsorted)) % 0.16/0.41 (define @t20 () (@var "X15" $$unsorted)) % 0.16/0.41 (define @t21 () (= @t20 @t19)) % 0.16/0.41 (define @t22 () (@var "X14" $$unsorted)) % 0.16/0.41 (define @t23 () (@var "X13" $$unsorted)) % 0.16/0.41 (define @t24 () (tptp.r3 @t23 @t22 @t20)) % 0.16/0.41 (define @t25 () (@var "Y23" $$unsorted)) % 0.16/0.41 (define @t26 () (@var "X18" $$unsorted)) % 0.16/0.41 (define @t27 () (= @t26 @t25)) % 0.16/0.41 (define @t28 () (@var "X17" $$unsorted)) % 0.16/0.41 (define @t29 () (@var "X16" $$unsorted)) % 0.16/0.41 (define @t30 () (tptp.r4 @t29 @t28 @t26)) % 0.16/0.41 (define @t31 () (@var "Y7" $$unsorted)) % 0.16/0.41 (define @t32 () (@var "X8" $$unsorted)) % 0.16/0.41 (define @t33 () (@var "X1" $$unsorted)) % 0.16/0.41 (define @t34 () (@var "Y4" $$unsorted)) % 0.16/0.41 (define @t35 () (@list @t31)) % 0.16/0.41 (define @t36 () (@var "Y5" $$unsorted)) % 0.16/0.41 (define @t37 () (= @t36 @t34)) % 0.16/0.41 (define @t38 () (@var "Y15" $$unsorted)) % 0.16/0.41 (define @t39 () (@list @t36)) % 0.16/0.41 (define @t40 () (@var "Y6" $$unsorted)) % 0.16/0.41 (define @t41 () (@var "X9" $$unsorted)) % 0.16/0.41 (define @t42 () (@var "X2" $$unsorted)) % 0.16/0.41 (define @t43 () (@var "Y2" $$unsorted)) % 0.16/0.41 (define @t44 () (@list @t40)) % 0.16/0.41 (define @t45 () (@var "Y3" $$unsorted)) % 0.16/0.41 (define @t46 () (@var "Y14" $$unsorted)) % 0.16/0.41 (define @t47 () (@var "X10" $$unsorted)) % 0.16/0.41 (define @t48 () (@var "X3" $$unsorted)) % 0.16/0.41 (define @t49 () (@var "Y12" $$unsorted)) % 0.16/0.41 (define @t50 () (@var "Y13" $$unsorted)) % 0.16/0.41 (define @t51 () (@var "X4" $$unsorted)) % 0.16/0.41 (define @t52 () (@var "Y9" $$unsorted)) % 0.16/0.41 (define @t53 () (= @t52 @t51)) % 0.16/0.41 (define @t54 () (@var "Y16" $$unsorted)) % 0.16/0.41 (define @t55 () (tptp.r3 @t51 @t54 @t52)) % 0.16/0.41 (define @t56 () (tptp.r1 @t54)) % 0.16/0.41 (define @t57 () (and @t56 @t55)) % 0.16/0.41 (define @t58 () (@list @t54)) % 0.16/0.41 (define @t59 () (exists @t58 @t57)) % 0.16/0.41 (define @t60 () (and @t59 @t53)) % 0.16/0.41 (define @t61 () (@list @t52)) % 0.16/0.41 (define @t62 () (exists @t61 @t60)) % 0.16/0.41 (define @t63 () (forall (@list @t51) @t62)) % 0.16/0.41 (define @t64 () (@var "Y18" $$unsorted)) % 0.16/0.41 (define @t65 () (@var "Y8" $$unsorted)) % 0.16/0.41 (define @t66 () (= @t65 @t64)) % 0.16/0.41 (define @t67 () (tptp.r1 @t64)) % 0.16/0.41 (define @t68 () (and @t67 @t66)) % 0.16/0.41 (define @t69 () (@list @t64)) % 0.16/0.41 (define @t70 () (exists @t69 @t68)) % 0.16/0.41 (define @t71 () (@var "Y17" $$unsorted)) % 0.16/0.41 (define @t72 () (@var "X5" $$unsorted)) % 0.16/0.41 (define @t73 () (tptp.r4 @t72 @t71 @t65)) % 0.16/0.41 (define @t74 () (tptp.r1 @t71)) % 0.16/0.41 (define @t75 () (and @t74 @t73)) % 0.16/0.41 (define @t76 () (@list @t71)) % 0.16/0.41 (define @t77 () (exists @t76 @t75)) % 0.16/0.41 (define @t78 () (and @t77 @t70)) % 0.16/0.41 (define @t79 () (@list @t65)) % 0.16/0.41 (define @t80 () (exists @t79 @t78)) % 0.16/0.41 (define @t81 () (forall (@list @t72) @t80)) % 0.16/0.41 (define @t82 () (@var "Y11" $$unsorted)) % 0.16/0.41 (define @t83 () (@var "X6" $$unsorted)) % 0.16/0.41 (define @t84 () (@var "Y1" $$unsorted)) % 0.16/0.41 (define @t85 () (@var "Y19" $$unsorted)) % 0.16/0.41 (define @t86 () (@var "Y10" $$unsorted)) % 0.16/0.41 (define @t87 () (@var "X7" $$unsorted)) % 0.16/0.41 (define @t88 () (@var "Y20" $$unsorted)) % 0.16/0.41 (define @t89 () (tptp.r3 @t31 @t40 @t34)) % 0.16/0.41 (define @t90 () (tptp.r4 @t84 @t84 @t31)) % 0.16/0.41 (define @t91 () (and @t90 @t89)) % 0.16/0.41 (define @t92 () (exists @t35 @t91)) % 0.16/0.41 (define @t93 () (tptp.r4 @t45 @t45 @t40)) % 0.16/0.41 (define @t94 () (and @t93 @t92)) % 0.16/0.41 (define @t95 () (exists @t44 @t94)) % 0.16/0.41 (define @t96 () (= @t34 @t36)) % 0.16/0.41 (define @t97 () (tptp.r4 @t43 @t43 @t36)) % 0.16/0.41 (define @t98 () (and @t97 @t96)) % 0.16/0.41 (define @t99 () (exists @t39 @t98)) % 0.16/0.41 (define @t100 () (and @t99 @t95)) % 0.16/0.41 (define @t101 () (@list @t84 @t45 @t43 @t34)) % 0.16/0.41 (define @t102 () (exists @t101 @t100)) % 0.16/0.41 (define @t103 () (not @t102)) % 0.16/0.41 (define @t104 () (@var "BOUND_VARIABLE_8176" $$unsorted)) % 0.16/0.41 (define @t105 () (@var "BOUND_VARIABLE_8178" $$unsorted)) % 0.16/0.41 (define @t106 () (not (tptp.r3 @t105 @t104 @t34))) % 0.16/0.41 (define @t107 () (not (tptp.r4 @t84 @t84 @t105))) % 0.16/0.41 (define @t108 () (not (tptp.r4 @t45 @t45 @t104))) % 0.16/0.41 (define @t109 () (tptp.r4 @t43 @t43 @t34)) % 0.16/0.41 (define @t110 () (not @t109)) % 0.16/0.41 (define @t111 () (or @t110 @t108 @t107 @t106)) % 0.16/0.41 (define @t112 () (@list @t84 @t45 @t43 @t34 @t104 @t105)) % 0.16/0.41 (define @t113 () (or @t108 @t107 @t106)) % 0.16/0.41 (define @t114 () (or @t110 @t113)) % 0.16/0.41 (define @t115 () (forall @t112 @t114)) % 0.16/0.41 (define @t116 () (@list @t104 @t105)) % 0.16/0.41 (define @t117 () (forall @t116 @t114)) % 0.16/0.41 (define @t118 () (forall @t116 @t113)) % 0.16/0.41 (define @t119 () (@var "BOUND_VARIABLE_8156" $$unsorted)) % 0.16/0.41 (define @t120 () (or @t110 @t118)) % 0.16/0.41 (define @t121 () (not (tptp.r3 @t119 @t40 @t34))) % 0.16/0.41 (define @t122 () (not (tptp.r4 @t84 @t84 @t119))) % 0.16/0.41 (define @t123 () (not @t93)) % 0.16/0.41 (define @t124 () (or @t123 @t122 @t121)) % 0.16/0.41 (define @t125 () (@list @t40 @t119)) % 0.16/0.41 (define @t126 () (forall @t125 @t124)) % 0.16/0.41 (define @t127 () (not @t126)) % 0.16/0.41 (define @t128 () (and @t109 @t127)) % 0.16/0.41 (define @t129 () (forall @t101 (not @t128))) % 0.16/0.41 (define @t130 () (not @t129)) % 0.16/0.41 (define @t131 () (or @t122 @t121)) % 0.16/0.41 (define @t132 () (or @t123 @t131)) % 0.16/0.41 (define @t133 () (forall @t125 @t132)) % 0.16/0.41 (define @t134 () (@list @t119)) % 0.16/0.41 (define @t135 () (forall @t134 @t132)) % 0.16/0.41 (define @t136 () (forall @t134 @t131)) % 0.16/0.41 (define @t137 () (or @t123 @t136)) % 0.16/0.41 (define @t138 () (forall @t35 (or (not @t90) (not @t89)))) % 0.16/0.41 (define @t139 () (not @t138)) % 0.16/0.41 (define @t140 () (and @t93 @t139)) % 0.16/0.41 (define @t141 () (forall @t44 (not @t140))) % 0.16/0.41 (define @t142 () (not @t141)) % 0.16/0.41 (define @t143 () (forall @t35 (not @t91))) % 0.16/0.41 (define @t144 () (not @t143)) % 0.16/0.41 (define @t145 () (not (= @t34 @t34))) % 0.16/0.41 (define @t146 () (or @t110 @t145)) % 0.16/0.41 (define @t147 () (not @t96)) % 0.16/0.41 (define @t148 () (not @t97)) % 0.16/0.41 (define @t149 () (or @t147 @t148 @t147)) % 0.16/0.41 (define @t150 () (or @t148 @t147)) % 0.16/0.41 (define @t151 () (forall @t39 (not @t98))) % 0.16/0.41 (define @t152 () (not @t151)) % 0.16/0.41 (define @t153 () (tptp.r1 @t1)) % 0.16/0.41 (define @t154 () (@var "BOUND_VARIABLE_7637" $$unsorted)) % 0.16/0.41 (define @t155 () (tptp.r1 @t154)) % 0.16/0.41 (define @t156 () (not @t155)) % 0.16/0.41 (define @t157 () (@list @t154)) % 0.16/0.41 (define @t158 () (forall @t157 (or @t156 (and @t155 (= @t1 @t154))))) % 0.16/0.41 (define @t159 () (forall @t12 (or (not @t158) (not @t153)))) % 0.16/0.41 (define @t160 () (@quantifiers_skolemize @t159 0)) % 0.16/0.41 (define @t161 () (@var "BOUND_VARIABLE_8015" $$unsorted)) % 0.16/0.41 (define @t162 () (not (tptp.r3 @t51 @t161 @t51))) % 0.16/0.41 (define @t163 () (not (tptp.r1 @t161))) % 0.16/0.41 (define @t164 () (not (= @t51 @t51))) % 0.16/0.41 (define @t165 () (or @t164 @t163 @t162)) % 0.16/0.41 (define @t166 () (@list @t161)) % 0.16/0.41 (define @t167 () (not (tptp.r3 @t51 @t161 @t52))) % 0.16/0.41 (define @t168 () (= @t51 @t52)) % 0.16/0.41 (define @t169 () (not @t168)) % 0.16/0.41 (define @t170 () (or @t169 @t169 @t163 @t167)) % 0.16/0.41 (define @t171 () (or @t169 @t163 @t167)) % 0.16/0.41 (define @t172 () (forall @t61 @t171)) % 0.16/0.41 (define @t173 () (forall @t166 @t172)) % 0.16/0.41 (define @t174 () (forall (@list @t161 @t52) @t171)) % 0.16/0.41 (define @t175 () (@list @t52 @t161)) % 0.16/0.41 (define @t176 () (or @t163 @t167)) % 0.16/0.41 (define @t177 () (or @t176 @t169)) % 0.16/0.41 (define @t178 () (forall @t175 @t177)) % 0.16/0.41 (define @t179 () (forall @t166 @t177)) % 0.16/0.41 (define @t180 () (forall @t166 @t176)) % 0.16/0.41 (define @t181 () (or @t180 @t169)) % 0.16/0.41 (define @t182 () (forall @t58 (or (not @t56) (not @t55)))) % 0.16/0.41 (define @t183 () (not @t182)) % 0.16/0.41 (define @t184 () (and @t183 @t168)) % 0.16/0.41 (define @t185 () (forall @t61 (not @t184))) % 0.16/0.41 (define @t186 () (not @t185)) % 0.16/0.41 (define @t187 () (forall @t58 (not @t57))) % 0.16/0.41 (define @t188 () (not @t187)) % 0.16/0.41 (define @t189 () (@list @t160)) % 0.16/0.41 (define @t190 () (@quantifiers_skolemize (forall @t166 (or @t163 (not (tptp.r3 @t160 @t161 @t160)))) 0)) % 0.16/0.41 (define @t191 () (tptp.r3 @t160 @t190 @t160)) % 0.16/0.41 (define @t192 () (not @t191)) % 0.16/0.41 (define @t193 () (tptp.r1 @t190)) % 0.16/0.41 (define @t194 () (not @t193)) % 0.16/0.41 (define @t195 () (or @t194 @t192)) % 0.16/0.41 (define @t196 () (@list true)) % 0.16/0.41 (define @t197 () (@list @t195)) % 0.16/0.41 (define @t198 () (and @t158 @t153)) % 0.16/0.41 (define @t199 () (forall @t12 (not @t198))) % 0.16/0.41 (define @t200 () (not @t199)) % 0.16/0.41 (define @t201 () (= @t1 @t1)) % 0.16/0.41 (define @t202 () (and @t153 @t201)) % 0.16/0.41 (define @t203 () (not @t201)) % 0.16/0.41 (define @t204 () (or @t203 @t202)) % 0.16/0.41 (define @t205 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 0.16/0.41 (define @t206 () (= @t1 @t205)) % 0.16/0.41 (define @t207 () (and (tptp.r1 @t205) @t206)) % 0.16/0.41 (define @t208 () (not @t206)) % 0.16/0.41 (define @t209 () (@list @t205)) % 0.16/0.41 (define @t210 () (or @t208 @t208 @t207)) % 0.16/0.41 (define @t211 () (or @t208 @t207)) % 0.16/0.41 (define @t212 () (forall @t209 @t211)) % 0.16/0.41 (define @t213 () (= @t1 @t2)) % 0.16/0.41 (define @t214 () (and @t4 @t213)) % 0.16/0.41 (define @t215 () (not @t213)) % 0.16/0.41 (define @t216 () (or @t215 @t214)) % 0.16/0.41 (define @t217 () (forall @t10 @t216)) % 0.16/0.41 (define @t218 () (@list @t2)) % 0.16/0.41 (define @t219 () (or @t7 @t214)) % 0.16/0.41 (define @t220 () (forall @t10 @t219)) % 0.16/0.41 (define @t221 () (and @t220 @t217)) % 0.16/0.41 (define @t222 () (not (tptp.r1 @t160))) % 0.16/0.41 (define @t223 () (forall @t157 (or @t156 (and @t155 (= @t154 @t160))))) % 0.16/0.41 (define @t224 () (not @t223)) % 0.16/0.41 (define @t225 () (or @t224 @t222)) % 0.16/0.41 (define @t226 () (not @t225)) % 0.16/0.41 (define @t227 () (not @t159)) % 0.16/0.41 (define @t228 () (and @t155 (= @t160 @t154))) % 0.16/0.41 (define @t229 () (or @t156 @t228)) % 0.16/0.41 (define @t230 () (forall @t157 @t229)) % 0.16/0.41 (define @t231 () (not @t230)) % 0.16/0.41 (define @t232 () (or @t231 @t222)) % 0.16/0.41 (define @t233 () (not @t232)) % 0.16/0.41 (define @t234 () (and @t193 (= @t190 @t160))) % 0.16/0.41 (define @t235 () (or @t194 @t234)) % 0.16/0.41 (define @t236 () (= @t160 @t190)) % 0.16/0.41 (define @t237 () (and @t193 @t236)) % 0.16/0.41 (define @t238 () (or @t194 @t237)) % 0.16/0.41 (define @t239 () (@list false)) % 0.16/0.41 (define @t240 () (@list @t223)) % 0.16/0.41 (define @t241 () (@list false false)) % 0.16/0.41 (define @t242 () (tptp.r3 @t160 @t160 @t160)) % 0.16/0.41 (define @t243 () (@var "BOUND_VARIABLE_8069" $$unsorted)) % 0.16/0.41 (define @t244 () (not (tptp.r4 @t72 @t243 @t65))) % 0.16/0.41 (define @t245 () (not (tptp.r1 @t243))) % 0.16/0.41 (define @t246 () (tptp.r1 @t65)) % 0.16/0.41 (define @t247 () (not @t246)) % 0.16/0.41 (define @t248 () (or @t245 @t244)) % 0.16/0.41 (define @t249 () (or @t248 @t247)) % 0.16/0.41 (define @t250 () (@list @t65 @t243)) % 0.16/0.41 (define @t251 () (forall @t250 @t249)) % 0.16/0.41 (define @t252 () (@list @t243)) % 0.16/0.41 (define @t253 () (forall @t252 @t249)) % 0.16/0.41 (define @t254 () (forall @t252 @t248)) % 0.16/0.41 (define @t255 () (or @t254 @t247)) % 0.16/0.41 (define @t256 () (forall @t76 (or (not @t74) (not @t73)))) % 0.16/0.41 (define @t257 () (not @t256)) % 0.16/0.41 (define @t258 () (and @t257 @t246)) % 0.16/0.41 (define @t259 () (forall @t79 (not @t258))) % 0.16/0.41 (define @t260 () (not @t259)) % 0.16/0.41 (define @t261 () (not (= @t65 @t65))) % 0.16/0.41 (define @t262 () (or @t247 @t261)) % 0.16/0.41 (define @t263 () (not @t66)) % 0.16/0.41 (define @t264 () (not @t67)) % 0.16/0.41 (define @t265 () (or @t263 @t264 @t263)) % 0.16/0.41 (define @t266 () (or @t264 @t263)) % 0.16/0.41 (define @t267 () (forall @t69 (not @t68))) % 0.16/0.41 (define @t268 () (not @t267)) % 0.16/0.41 (define @t269 () (forall @t76 (not @t75))) % 0.16/0.41 (define @t270 () (not @t269)) % 0.16/0.41 (define @t271 () (forall @t250 (or @t247 @t245 (not (tptp.r4 @t160 @t243 @t65))))) % 0.16/0.41 (define @t272 () (@quantifiers_skolemize @t271 0)) % 0.16/0.41 (define @t273 () (@quantifiers_skolemize @t271 1)) % 0.16/0.41 (define @t274 () (tptp.r4 @t160 @t273 @t272)) % 0.16/0.41 (define @t275 () (not @t274)) % 0.16/0.41 (define @t276 () (tptp.r1 @t273)) % 0.16/0.41 (define @t277 () (not @t276)) % 0.16/0.41 (define @t278 () (tptp.r1 @t272)) % 0.16/0.41 (define @t279 () (not @t278)) % 0.16/0.41 (define @t280 () (or @t279 @t277 @t275)) % 0.16/0.41 (define @t281 () (@list @t280)) % 0.16/0.41 (define @t282 () (and @t278 (= @t272 @t160))) % 0.16/0.41 (define @t283 () (or @t279 @t282)) % 0.16/0.41 (define @t284 () (= @t160 @t272)) % 0.16/0.41 (define @t285 () (and @t278 @t284)) % 0.16/0.41 (define @t286 () (or @t279 @t285)) % 0.16/0.41 (define @t287 () (and @t276 (= @t273 @t160))) % 0.16/0.41 (define @t288 () (or @t277 @t287)) % 0.16/0.41 (define @t289 () (= @t160 @t273)) % 0.16/0.41 (define @t290 () (and @t276 @t289)) % 0.16/0.41 (define @t291 () (or @t277 @t290)) % 0.16/0.41 (define @t292 () (tptp.r4 @t160 @t160 @t160)) % 0.16/0.41 (define @t293 () (not @t242)) % 0.16/0.41 (define @t294 () (not @t292)) % 0.16/0.41 (define @t295 () (or @t294 @t294 @t294 @t293)) % 0.16/0.41 (assume @p1 @t13) % 0.16/0.41 (assume @p2 (forall (@list @t17) (exists (@list @t14) (forall (@list @t15) (or (and (not @t18) (not @t16)) (and @t18 @t16)))))) % 0.16/0.41 (assume @p3 (forall (@list @t23 @t22) (exists (@list @t19) (forall (@list @t20) (or (and (not @t24) (not @t21)) (and @t24 @t21)))))) % 0.16/0.41 (assume @p4 (forall (@list @t29 @t28) (exists (@list @t25) (forall (@list @t26) (or (and (not @t30) (not @t27)) (and @t30 @t27)))))) % 0.16/0.41 (assume @p5 (forall (@list @t33 @t32) (exists (@list @t34) (and (exists @t39 (and (exists (@list @t38) (and (tptp.r2 @t32 @t38) (tptp.r3 @t33 @t38 @t36))) @t37)) (exists @t35 (and (tptp.r2 @t31 @t34) (tptp.r3 @t33 @t32 @t31))))))) % 0.16/0.41 (assume @p6 (forall (@list @t42 @t41) (exists (@list @t43) (and (exists (@list @t45) (and (exists (@list @t46) (and (tptp.r2 @t41 @t46) (tptp.r4 @t42 @t46 @t45))) (= @t45 @t43))) (exists @t44 (and (tptp.r3 @t40 @t42 @t43) (tptp.r4 @t42 @t41 @t40))))))) % 0.16/0.41 (assume @p7 (forall (@list @t48 @t47) (or (forall (@list @t49) (or (forall (@list @t50) (or (not (tptp.r2 @t48 @t50)) (not (= @t50 @t49)))) (not (tptp.r2 @t47 @t49)))) (= @t48 @t47)))) % 0.16/0.41 (assume @p8 @t63) % 0.16/0.41 (assume @p9 @t81) % 0.16/0.41 (assume @p10 (forall (@list @t83) (or (exists (@list @t85) (and (tptp.r1 @t85) (= @t83 @t85))) (exists (@list @t84 @t82) (and (tptp.r2 @t84 @t82) (= @t83 @t82)))))) % 0.16/0.41 (assume @p11 (forall (@list @t87 @t86) (or (forall (@list @t88) (or (not (tptp.r1 @t88)) (not (= @t88 @t86)))) (not (tptp.r2 @t87 @t86))))) % 0.16/0.41 (assume @p12 @t103) % 0.16/0.41 (assume @p13 true) % 0.16/0.41 (step @p14 :rule bool-double-not-elim :args ((forall @t112 @t111))) % 0.16/0.41 (step @p15 :rule aci_norm :args ((= @t114 @t111))) % 0.16/0.41 (step @p16 :rule cong :premises (@p15) :args (@t115)) % 0.16/0.41 (step @p17 :rule quant-merge-prenex :args ((= (forall @t101 @t117) @t115))) % 0.16/0.41 (step @p18 :rule alpha_equiv :args (@t118 (@list @t104 @t105) (@list @t40 @t119))) % 0.16/0.41 (step @p19 :rule refl :args (@t110)) % 0.16/0.41 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t120)) % 0.16/0.41 (step @p21 :rule quant-miniscope-or :args ((= @t117 @t120))) % 0.16/0.41 (step @p22 :rule trans :premises (@p21 @p20)) % 0.16/0.41 (step @p23 :rule symm :premises (@p22)) % 0.16/0.41 (step @p24 :rule cong :premises (@p23) :args ((forall @t101 (or @t110 @t126)))) % 0.16/0.41 (step @p25 :rule trans :premises (@p24 @p17)) % 0.16/0.41 (step @p26 :rule trans :premises (@p25 @p16)) % 0.16/0.41 (step @p27 :rule bool-double-not-elim :args (@t126)) % 0.16/0.41 (step @p28 :rule nary_cong :premises (@p19 @p27) :args ((or @t110 (not @t127)))) % 0.16/0.41 (step @p29 :rule bool-and-de-morgan :args (@t109 @t127 true)) % 0.16/0.41 (step @p30 :rule trans :premises (@p29 @p28)) % 0.16/0.41 (step @p31 :rule cong :premises (@p30) :args (@t129)) % 0.16/0.41 (step @p32 :rule trans :premises (@p31 @p26)) % 0.16/0.41 (step @p33 :rule cong :premises (@p32) :args (@t130)) % 0.16/0.41 (step @p34 :rule exists-elim :args ((= (exists @t101 @t128) @t130))) % 0.16/0.41 (step @p35 :rule trans :premises (@p34 @p33)) % 0.16/0.41 (step @p36 :rule aci_norm :args ((= @t132 @t124))) % 0.16/0.41 (step @p37 :rule cong :premises (@p36) :args (@t133)) % 0.16/0.41 (step @p38 :rule quant-merge-prenex :args ((= (forall @t44 @t135) @t133))) % 0.16/0.41 (step @p39 :rule alpha_equiv :args (@t136 (@list @t119) (@list @t31))) % 0.16/0.41 (step @p40 :rule refl :args (@t123)) % 0.16/0.41 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t137)) % 0.16/0.41 (step @p42 :rule quant-miniscope-or :args ((= @t135 @t137))) % 0.16/0.41 (step @p43 :rule trans :premises (@p42 @p41)) % 0.16/0.41 (step @p44 :rule symm :premises (@p43)) % 0.16/0.41 (step @p45 :rule cong :premises (@p44) :args ((forall @t44 (or @t123 @t138)))) % 0.16/0.41 (step @p46 :rule trans :premises (@p45 @p38)) % 0.16/0.41 (step @p47 :rule trans :premises (@p46 @p37)) % 0.16/0.41 (step @p48 :rule bool-double-not-elim :args (@t138)) % 0.16/0.41 (step @p49 :rule nary_cong :premises (@p40 @p48) :args ((or @t123 (not @t139)))) % 0.16/0.41 (step @p50 :rule bool-and-de-morgan :args (@t93 @t139 true)) % 0.16/0.41 (step @p51 :rule trans :premises (@p50 @p49)) % 0.16/0.41 (step @p52 :rule cong :premises (@p51) :args (@t141)) % 0.16/0.41 (step @p53 :rule trans :premises (@p52 @p47)) % 0.16/0.41 (step @p54 :rule cong :premises (@p53) :args (@t142)) % 0.16/0.41 (step @p55 :rule exists-elim :args ((= (exists @t44 @t140) @t142))) % 0.16/0.41 (step @p56 :rule trans :premises (@p55 @p54)) % 0.16/0.41 (step @p57 :rule bool-and-de-morgan :args (@t90 @t89 true)) % 0.16/0.41 (step @p58 :rule cong :premises (@p57) :args (@t143)) % 0.16/0.41 (step @p59 :rule cong :premises (@p58) :args (@t144)) % 0.16/0.41 (step @p60 :rule exists-elim :args ((= @t92 @t144))) % 0.16/0.41 (step @p61 :rule trans :premises (@p60 @p59)) % 0.16/0.41 (step @p62 :rule refl :args (@t93)) % 0.16/0.41 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t94)) % 0.16/0.41 (step @p64 :rule cong :premises (@p63) :args (@t95)) % 0.16/0.41 (step @p65 :rule trans :premises (@p64 @p56)) % 0.16/0.41 (step @p66 :rule bool-double-not-elim :args (@t109)) % 0.16/0.41 (step @p67 :rule aci_norm :args ((= (or @t110 false) @t110))) % 0.16/0.41 (step @p68 :rule evaluate :args ((not true))) % 0.16/0.41 (step @p69 :rule eq-refl :args (@t34)) % 0.16/0.41 (step @p70 :rule cong :premises (@p69) :args (@t145)) % 0.16/0.41 (step @p71 :rule trans :premises (@p70 @p68)) % 0.16/0.41 (step @p72 :rule refl :args (@t110)) % 0.16/0.41 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t146)) % 0.16/0.41 (step @p74 :rule trans :premises (@p73 @p67)) % 0.16/0.41 (step @p75 :rule quant-var-elim-eq :args ((= (forall @t39 (or (not @t37) @t148 @t147)) @t146))) % 0.16/0.41 (step @p76 :rule refl :args (@t147)) % 0.16/0.41 (step @p77 :rule refl :args (@t148)) % 0.16/0.41 (step @p78 :rule eq-symm :args (@t34 @t36)) % 0.16/0.41 (step @p79 :rule cong :premises (@p78) :args (@t147)) % 0.16/0.41 (step @p80 :rule nary_cong :premises (@p79 @p77 @p76) :args (@t149)) % 0.16/0.41 (step @p81 :rule aci_norm :args ((= @t150 @t149))) % 0.16/0.41 (step @p82 :rule trans :premises (@p81 @p80)) % 0.16/0.41 (step @p83 :rule cong :premises (@p82) :args ((forall @t39 @t150))) % 0.16/0.41 (step @p84 :rule trans :premises (@p83 @p75)) % 0.16/0.41 (step @p85 :rule trans :premises (@p84 @p74)) % 0.16/0.41 (step @p86 :rule bool-and-de-morgan :args (@t97 @t96 true)) % 0.16/0.41 (step @p87 :rule cong :premises (@p86) :args (@t151)) % 0.16/0.41 (step @p88 :rule trans :premises (@p87 @p85)) % 0.16/0.41 (step @p89 :rule cong :premises (@p88) :args (@t152)) % 0.16/0.41 (step @p90 :rule trans :premises (@p89 @p66)) % 0.16/0.41 (step @p91 :rule exists-elim :args ((= @t99 @t152))) % 0.16/0.41 (step @p92 :rule trans :premises (@p91 @p90)) % 0.16/0.41 (step @p93 :rule nary_cong :premises (@p92 @p65) :args (@t100)) % 0.16/0.41 (step @p94 :rule cong :premises (@p93) :args (@t102)) % 0.16/0.41 (step @p95 :rule trans :premises (@p94 @p35)) % 0.16/0.41 (step @p96 :rule cong :premises (@p95) :args (@t103)) % 0.16/0.41 (step @p97 :rule trans :premises (@p96 @p14)) % 0.16/0.41 (step @p98 :rule eq_resolve :premises (@p12 @p97)) % 0.16/0.41 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t160 @t160 @t160 @t160 @t160 @t160))) % 0.16/0.41 (step @p100 :rule aci_norm :args ((= (or false @t163 @t162) (or @t163 @t162)))) % 0.16/0.41 (step @p101 :rule refl :args (@t162)) % 0.16/0.41 (step @p102 :rule refl :args (@t163)) % 0.16/0.41 (step @p103 :rule eq-refl :args (@t51)) % 0.16/0.41 (step @p104 :rule cong :premises (@p103) :args (@t164)) % 0.16/0.41 (step @p105 :rule trans :premises (@p104 @p68)) % 0.16/0.41 (step @p106 :rule nary_cong :premises (@p105 @p102 @p101) :args (@t165)) % 0.16/0.41 (step @p107 :rule trans :premises (@p106 @p100)) % 0.16/0.41 (step @p108 :rule cong :premises (@p107) :args ((forall @t166 @t165))) % 0.16/0.41 (step @p109 :rule quant-var-elim-eq :args ((= (forall @t61 (or (not @t53) @t169 @t163 @t167)) @t165))) % 0.16/0.41 (step @p110 :rule refl :args (@t167)) % 0.16/0.41 (step @p111 :rule refl :args (@t163)) % 0.16/0.41 (step @p112 :rule refl :args (@t169)) % 0.16/0.41 (step @p113 :rule eq-symm :args (@t51 @t52)) % 0.16/0.41 (step @p114 :rule cong :premises (@p113) :args (@t169)) % 0.16/0.41 (step @p115 :rule nary_cong :premises (@p114 @p112 @p111 @p110) :args (@t170)) % 0.16/0.41 (step @p116 :rule aci_norm :args ((= @t171 @t170))) % 0.16/0.41 (step @p117 :rule trans :premises (@p116 @p115)) % 0.16/0.41 (step @p118 :rule cong :premises (@p117) :args (@t172)) % 0.16/0.41 (step @p119 :rule trans :premises (@p118 @p109)) % 0.16/0.41 (step @p120 :rule cong :premises (@p119) :args (@t173)) % 0.16/0.41 (step @p121 :rule quant-merge-prenex :args ((= @t173 @t174))) % 0.16/0.41 (step @p122 :rule symm :premises (@p121)) % 0.16/0.41 (step @p123 :rule quant_var_reordering :args ((= (forall @t175 @t171) @t174))) % 0.16/0.41 (step @p124 :rule trans :premises (@p123 @p122 @p120)) % 0.16/0.41 (step @p125 :rule trans :premises (@p124 @p108)) % 0.16/0.41 (step @p126 :rule aci_norm :args ((= @t177 @t171))) % 0.16/0.41 (step @p127 :rule cong :premises (@p126) :args (@t178)) % 0.16/0.41 (step @p128 :rule trans :premises (@p127 @p125)) % 0.16/0.41 (step @p129 :rule quant-merge-prenex :args ((= (forall @t61 @t179) @t178))) % 0.16/0.41 (step @p130 :rule alpha_equiv :args (@t180 (@list @t161) (@list @t54))) % 0.16/0.41 (step @p131 :rule nary_cong :premises (@p130 @p112) :args (@t181)) % 0.16/0.41 (step @p132 :rule quant-miniscope-or :args ((= @t179 @t181))) % 0.16/0.41 (step @p133 :rule trans :premises (@p132 @p131)) % 0.16/0.41 (step @p134 :rule symm :premises (@p133)) % 0.16/0.41 (step @p135 :rule cong :premises (@p134) :args ((forall @t61 (or @t182 @t169)))) % 0.16/0.41 (step @p136 :rule trans :premises (@p135 @p129)) % 0.16/0.41 (step @p137 :rule trans :premises (@p136 @p128)) % 0.16/0.41 (step @p138 :rule bool-double-not-elim :args (@t182)) % 0.16/0.41 (step @p139 :rule nary_cong :premises (@p138 @p112) :args ((or (not @t183) @t169))) % 0.16/0.41 (step @p140 :rule bool-and-de-morgan :args (@t183 @t168 true)) % 0.16/0.41 (step @p141 :rule trans :premises (@p140 @p139)) % 0.16/0.41 (step @p142 :rule cong :premises (@p141) :args (@t185)) % 0.16/0.41 (step @p143 :rule trans :premises (@p142 @p137)) % 0.16/0.41 (step @p144 :rule cong :premises (@p143) :args (@t186)) % 0.16/0.41 (step @p145 :rule exists-elim :args ((= (exists @t61 @t184) @t186))) % 0.16/0.41 (step @p146 :rule trans :premises (@p145 @p144)) % 0.16/0.41 (step @p147 :rule eq-symm :args (@t52 @t51)) % 0.16/0.41 (step @p148 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 0.16/0.41 (step @p149 :rule cong :premises (@p148) :args (@t187)) % 0.16/0.41 (step @p150 :rule cong :premises (@p149) :args (@t188)) % 0.16/0.41 (step @p151 :rule exists-elim :args ((= @t59 @t188))) % 0.16/0.41 (step @p152 :rule trans :premises (@p151 @p150)) % 0.16/0.41 (step @p153 :rule nary_cong :premises (@p152 @p147) :args (@t60)) % 0.16/0.41 (step @p154 :rule cong :premises (@p153) :args (@t62)) % 0.16/0.41 (step @p155 :rule trans :premises (@p154 @p146)) % 0.16/0.41 (step @p156 :rule cong :premises (@p155) :args (@t63)) % 0.16/0.41 (step @p157 :rule eq_resolve :premises (@p8 @p156)) % 0.16/0.41 (step @p158 :rule instantiate :premises (@p157) :args (@t189)) % 0.16/0.41 (step @p159 :rule skolemize :premises (@p158)) % 0.16/0.41 (step @p160 :rule bool-double-not-elim :args (@t191)) % 0.16/0.41 (step @p161 :rule refl :args (@t195)) % 0.16/0.41 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t195 (not @t192)))) % 0.16/0.41 (step @p163 :rule cnf_or_neg :args (@t195 1)) % 0.16/0.41 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.16/0.41 (step @p165 :rule reordering :premises (@p164) :args ((or @t191 @t195))) % 0.16/0.41 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t191 @t196 @t197)) % 0.16/0.41 (step @p167 :rule true_intro :premises (@p166)) % 0.16/0.41 (step @p168 :rule refl :args (@t160)) % 0.16/0.41 (step @p169 :rule bool-and-de-morgan :args (@t158 @t153 true)) % 0.16/0.41 (step @p170 :rule cong :premises (@p169) :args (@t199)) % 0.16/0.41 (step @p171 :rule cong :premises (@p170) :args (@t200)) % 0.16/0.41 (step @p172 :rule exists-elim :args ((= (exists @t12 @t198) @t200))) % 0.16/0.41 (step @p173 :rule trans :premises (@p172 @p171)) % 0.16/0.41 (step @p174 :rule aci_norm :args ((= (or false @t153) @t153))) % 0.16/0.41 (step @p175 :rule aci_norm :args ((= (and @t153 true) @t153))) % 0.16/0.41 (step @p176 :rule eq-refl :args (@t1)) % 0.16/0.41 (step @p177 :rule refl :args (@t153)) % 0.16/0.41 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t202)) % 0.16/0.41 (step @p179 :rule trans :premises (@p178 @p175)) % 0.16/0.41 (step @p180 :rule cong :premises (@p176) :args (@t203)) % 0.16/0.41 (step @p181 :rule trans :premises (@p180 @p68)) % 0.16/0.41 (step @p182 :rule nary_cong :premises (@p181 @p179) :args (@t204)) % 0.16/0.41 (step @p183 :rule trans :premises (@p182 @p174)) % 0.16/0.41 (step @p184 :rule quant-var-elim-eq :args ((= (forall @t209 (or (not (= @t205 @t1)) @t208 @t207)) @t204))) % 0.16/0.41 (step @p185 :rule refl :args (@t207)) % 0.16/0.41 (step @p186 :rule refl :args (@t208)) % 0.16/0.41 (step @p187 :rule eq-symm :args (@t1 @t205)) % 0.16/0.41 (step @p188 :rule cong :premises (@p187) :args (@t208)) % 0.16/0.41 (step @p189 :rule nary_cong :premises (@p188 @p186 @p185) :args (@t210)) % 0.16/0.41 (step @p190 :rule aci_norm :args ((= @t211 @t210))) % 0.16/0.41 (step @p191 :rule trans :premises (@p190 @p189)) % 0.16/0.41 (step @p192 :rule cong :premises (@p191) :args (@t212)) % 0.16/0.41 (step @p193 :rule trans :premises (@p192 @p184)) % 0.16/0.41 (step @p194 :rule trans :premises (@p193 @p183)) % 0.16/0.41 (step @p195 :rule refl :args (@t158)) % 0.16/0.41 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((and @t158 @t212))) % 0.16/0.41 (step @p197 :rule alpha_equiv :args (@t217 @t218 (@list @t205))) % 0.16/0.41 (step @p198 :rule alpha_equiv :args (@t220 @t218 (@list @t154))) % 0.16/0.41 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t221)) % 0.16/0.41 (step @p200 :rule quant-miniscope-and :args ((= (forall @t10 (and @t219 @t216)) @t221))) % 0.16/0.41 (step @p201 :rule trans :premises (@p200 @p199)) % 0.16/0.41 (step @p202 :rule trans :premises (@p201 @p196)) % 0.16/0.41 (step @p203 :rule bool-or-and-distrib :args (@t7 @t215 true @t214 false)) % 0.16/0.41 (step @p204 :rule cong :premises (@p203) :args ((forall @t10 (or (and @t7 @t215) @t214)))) % 0.16/0.41 (step @p205 :rule trans :premises (@p204 @p202)) % 0.16/0.41 (step @p206 :rule eq-symm :args (@t2 @t1)) % 0.16/0.41 (step @p207 :rule refl :args (@t4)) % 0.16/0.41 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t5)) % 0.16/0.41 (step @p209 :rule cong :premises (@p206) :args (@t6)) % 0.16/0.41 (step @p210 :rule refl :args (@t7)) % 0.16/0.41 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@p325 :rule cong :premises (@p324) :args (@t269)) % 0.16/0.41 (step @p326 :rule cong :premises (@p325) :args (@t270)) % 0.16/0.41 (step @p327 :rule exists-elim :args ((= @t77 @t270))) % 0.16/0.41 (step @p328 :rule trans :premises (@p327 @p326)) % 0.16/0.41 (step @p329 :rule nary_cong :premises (@p328 @p323) :args (@t78)) % 0.16/0.41 (step @p330 :rule cong :premises (@p329) :args (@t80)) % 0.16/0.41 (step @p331 :rule trans :premises (@p330 @p297)) % 0.16/0.41 (step @p332 :rule cong :premises (@p331) :args (@t81)) % 0.16/0.41 (step @p333 :rule eq_resolve :premises (@p9 @p332)) % 0.16/0.41 (step @p334 :rule instantiate :premises (@p333) :args (@t189)) % 0.16/0.41 (step @p335 :rule skolemize :premises (@p334)) % 0.16/0.41 (step @p336 :rule bool-double-not-elim :args (@t274)) % 0.16/0.41 (step @p337 :rule refl :args (@t280)) % 0.16/0.41 (step @p338 :rule nary_cong :premises (@p337 @p336) :args ((or @t280 (not @t275)))) % 0.16/0.41 (step @p339 :rule cnf_or_neg :args (@t280 2)) % 0.16/0.41 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 0.16/0.41 (step @p341 :rule reordering :premises (@p340) :args ((or @t274 @t280))) % 0.16/0.41 (step @p342 :rule chain_m_resolution :premises (@p341 @p335) :args (@t274 @t196 @t281)) % 0.16/0.41 (step @p343 :rule true_intro :premises (@p342)) % 0.16/0.41 (step @p344 :rule eq-symm :args (@t272 @t160)) % 0.16/0.41 (step @p345 :rule refl :args (@t278)) % 0.16/0.41 (step @p346 :rule nary_cong :premises (@p345 @p344) :args (@t282)) % 0.16/0.41 (step @p347 :rule refl :args (@t279)) % 0.16/0.41 (step @p348 :rule nary_cong :premises (@p347 @p346) :args (@t283)) % 0.16/0.41 (step @p349 :rule cong :premises (@p253 @p348) :args ((=> @t223 @t283))) % 0.16/0.41 (assume-push @p405 @t223) % 0.16/0.41 (step @p351 :rule instantiate :premises (@p247) :args ((@list @t272))) % 0.16/0.41 (step-pop @p406 :rule scope :premises (@p351)) % 0.16/0.41 (step @p352 :rule process_scope :premises (@p406) :args (@t283)) % 0.16/0.41 (step @p354 :rule eq_resolve 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0.16/0.41 (step @p367 :rule reordering :premises (@p366) :args ((or @t284 (not @t285)))) % 0.16/0.41 (step @p368 :rule chain_m_resolution :premises (@p367 @p365) :args (@t284 @t239 (@list @t285))) % 0.16/0.41 (step @p369 :rule eq-symm :args (@t273 @t160)) % 0.16/0.41 (step @p370 :rule refl :args (@t276)) % 0.16/0.41 (step @p371 :rule nary_cong :premises (@p370 @p369) :args (@t287)) % 0.16/0.41 (step @p372 :rule refl :args (@t277)) % 0.16/0.41 (step @p373 :rule nary_cong :premises (@p372 @p371) :args (@t288)) % 0.16/0.41 (step @p374 :rule cong :premises (@p253 @p373) :args ((=> @t223 @t288))) % 0.16/0.41 (assume-push @p407 @t223) % 0.16/0.41 (step @p376 :rule instantiate :premises (@p247) :args ((@list @t273))) % 0.16/0.41 (step-pop @p408 :rule scope :premises (@p376)) % 0.16/0.41 (step @p377 :rule process_scope :premises (@p408) :args (@t288)) % 0.16/0.41 (step @p379 :rule eq_resolve :premises (@p377 @p374)) % 0.16/0.41 (step @p380 :rule implies_elim :premises (@p379)) % 0.16/0.41 (step @p381 :rule chain_m_resolution :premises (@p380 @p247) :args (@t291 @t239 @t240)) % 0.16/0.41 (step @p382 :rule bool-double-not-elim :args (@t276)) % 0.16/0.41 (step @p383 :rule nary_cong :premises (@p337 @p382) :args ((or @t280 (not @t277)))) % 0.16/0.41 (step @p384 :rule cnf_or_neg :args (@t280 1)) % 0.16/0.41 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 0.16/0.41 (step @p386 :rule reordering :premises (@p385) :args ((or @t276 @t280))) % 0.16/0.41 (step @p387 :rule chain_m_resolution :premises (@p386 @p335) :args (@t276 @t196 @t281)) % 0.16/0.41 (step @p388 :rule cnf_or_pos :args (@t291)) % 0.16/0.41 (step @p389 :rule reordering :premises (@p388) :args ((or @t277 @t290 (not @t291)))) % 0.16/0.41 (step @p390 :rule chain_m_resolution :premises (@p389 @p387 @p381) :args (@t290 @t241 (@list @t276 @t291))) % 0.16/0.41 (step @p391 :rule cnf_and_pos :args (@t290 1)) % 0.16/0.41 (step @p392 :rule reordering :premises (@p391) :args ((or @t289 (not @t290)))) % 0.16/0.41 (step @p393 :rule chain_m_resolution :premises (@p392 @p390) :args (@t289 @t239 (@list @t290))) % 0.16/0.41 (step @p394 :rule cong :premises (@p168 @p393 @p368) :args (@t292)) % 0.16/0.41 (step @p395 :rule trans :premises (@p394 @p343)) % 0.16/0.41 (step @p396 :rule true_elim :premises (@p395)) % 0.16/0.41 (step @p397 :rule cnf_or_pos :args (@t295)) % 0.16/0.41 (step @p398 :rule factoring :premises (@p397)) % 0.16/0.41 (step @p399 :rule reordering :premises (@p398) :args ((or @t294 @t293 (not @t295)))) % 0.16/0.41 (step @p400 false :rule chain_m_resolution :premises (@p399 @p396 @p276 @p99) :args (false (@list false false false) (@list @t292 @t242 @t295))) % 0.16/0.41 ) % 0.16/0.41 % SZS output end Proof % 0.16/0.41 % cvc5 exiting %------------------------------------------------------------------------------