%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL269-3 : TPTP v9.3.1. Released v2.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:33 AM UTC 2026 % Result : Unsatisfiable 44.05s 45.03s % Output : Proof 33.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL269-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n020.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 02:44:42 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.11/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.18/15.67 --- Run --no-e-matching --full-saturate-quant at 6... % 21.26/21.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.27/28.00 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.31/34.16 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 44.05/45.03 % SZS status Unsatisfiable % 44.05/45.03 % SZS output start Proof % 44.05/45.04 ( % 44.05/45.04 (declare-sort $$unsorted 0) % 44.05/45.04 (declare-const tptp.q $$unsorted) % 44.05/45.04 (declare-const tptp.p $$unsorted) % 44.05/45.04 (declare-const tptp.theorem (-> $$unsorted Bool)) % 44.05/45.04 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 44.05/45.04 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 44.05/45.04 (declare-const tptp.axiom (-> $$unsorted Bool)) % 44.05/45.04 (declare-const tptp.equivalent (-> $$unsorted $$unsorted $$unsorted)) % 44.05/45.04 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 44.05/45.04 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 44.05/45.04 (define @t1 () (@var "A" $$unsorted)) % 44.05/45.04 (define @t2 () (@var "B" $$unsorted)) % 44.05/45.04 (define @t3 () (tptp.or @t2 @t1)) % 44.05/45.04 (define @t4 () (@list @t1 @t2)) % 44.05/45.04 (define @t5 () (@var "C" $$unsorted)) % 44.05/45.04 (define @t6 () (@list @t1 @t2 @t5)) % 44.05/45.04 (define @t7 () (@var "Y" $$unsorted)) % 44.05/45.04 (define @t8 () (@var "X" $$unsorted)) % 44.05/45.04 (define @t9 () (@list @t8 @t7)) % 44.05/45.04 (define @t10 () (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 44.05/45.04 (define @t11 () (tptp.theorem @t8)) % 44.05/45.04 (define @t12 () (@var "Q" $$unsorted)) % 44.05/45.04 (define @t13 () (@var "P" $$unsorted)) % 44.05/45.04 (define @t14 () (@list @t13 @t12)) % 44.05/45.04 (define @t15 () (tptp.equivalent tptp.q tptp.p)) % 44.05/45.04 (define @t16 () (tptp.equivalent tptp.p tptp.q)) % 44.05/45.04 (define @t17 () (tptp.equivalent @t16 @t15)) % 44.05/45.04 (define @t18 () (tptp.theorem @t17)) % 44.05/45.04 (define @t19 () (tptp.implies tptp.q tptp.p)) % 44.05/45.04 (define @t20 () (tptp.implies tptp.p tptp.q)) % 44.05/45.04 (define @t21 () (tptp.not @t16)) % 44.05/45.04 (define @t22 () (tptp.not @t19)) % 44.05/45.04 (define @t23 () (tptp.not @t20)) % 44.05/45.04 (define @t24 () (tptp.or @t23 @t22)) % 44.05/45.04 (define @t25 () (tptp.or @t21 @t16)) % 44.05/45.04 (define @t26 () (tptp.or @t16 @t21)) % 44.05/45.04 (define @t27 () (tptp.not @t15)) % 44.05/45.04 (define @t28 () (tptp.or @t27 @t16)) % 44.05/45.04 (define @t29 () (tptp.implies @t28 @t28)) % 44.05/45.04 (define @t30 () (tptp.implies @t16 @t16)) % 44.05/45.04 (define @t31 () (tptp.not @t29)) % 44.05/45.04 (define @t32 () (tptp.or @t31 @t16)) % 44.05/45.04 (define @t33 () (tptp.or @t21 @t32)) % 44.05/45.04 (define @t34 () (tptp.or @t31 @t25)) % 44.05/45.04 (define @t35 () (tptp.implies @t16 @t32)) % 44.05/45.04 (define @t36 () (= @t35 @t33)) % 44.05/45.04 (define @t37 () (@list false)) % 44.05/45.04 (define @t38 () (@list @t10)) % 44.05/45.04 (define @t39 () (tptp.axiom @t33)) % 44.05/45.04 (define @t40 () (not @t39)) % 44.05/45.04 (define @t41 () (tptp.theorem @t33)) % 44.05/45.05 (define @t42 () (or @t41 @t40)) % 44.05/45.05 (define @t43 () (@list false false)) % 44.05/45.05 (define @t44 () (tptp.implies @t33 @t34)) % 44.05/45.05 (define @t45 () (tptp.axiom @t44)) % 44.05/45.05 (define @t46 () (not @t45)) % 44.05/45.05 (define @t47 () (tptp.theorem @t44)) % 44.05/45.05 (define @t48 () (or @t47 @t46)) % 44.05/45.05 (define @t49 () (not @t41)) % 44.05/45.05 (define @t50 () (not @t47)) % 44.05/45.05 (define @t51 () (tptp.theorem @t34)) % 44.05/45.05 (define @t52 () (or @t51 @t50 @t49)) % 44.05/45.05 (define @t53 () (@list false false false)) % 44.05/45.05 (define @t54 () (tptp.theorem (tptp.implies @t29 @t30))) % 44.05/45.05 (define @t55 () (tptp.or @t16 @t27)) % 44.05/45.05 (define @t56 () (tptp.not @t28)) % 44.05/45.05 (define @t57 () (tptp.or @t56 @t55)) % 44.05/45.05 (define @t58 () (tptp.or @t56 @t28)) % 44.05/45.05 (define @t59 () (tptp.implies @t55 @t28)) % 44.05/45.05 (define @t60 () (tptp.implies @t57 @t58)) % 44.05/45.05 (define @t61 () (tptp.implies @t59 @t60)) % 44.05/45.05 (define @t62 () (tptp.axiom @t61)) % 44.05/45.05 (define @t63 () (not @t62)) % 44.05/45.05 (define @t64 () (tptp.theorem @t61)) % 44.05/45.05 (define @t65 () (or @t64 @t63)) % 44.05/45.05 (define @t66 () (tptp.axiom @t59)) % 44.05/45.05 (define @t67 () (not @t66)) % 44.05/45.05 (define @t68 () (tptp.theorem @t59)) % 44.05/45.05 (define @t69 () (or @t68 @t67)) % 44.05/45.05 (define @t70 () (not @t68)) % 44.05/45.05 (define @t71 () (not @t64)) % 44.05/45.05 (define @t72 () (tptp.theorem @t60)) % 44.05/45.05 (define @t73 () (or @t72 @t71 @t70)) % 44.05/45.05 (define @t74 () (tptp.implies @t28 @t55)) % 44.05/45.05 (define @t75 () (tptp.axiom @t74)) % 44.05/45.05 (define @t76 () (not @t75)) % 44.05/45.05 (define @t77 () (tptp.theorem @t74)) % 44.05/45.05 (define @t78 () (or @t77 @t76)) % 44.05/45.05 (define @t79 () (@list @t28 @t55)) % 44.05/45.05 (define @t80 () (tptp.theorem @t57)) % 44.05/45.05 (define @t81 () (not @t80)) % 44.05/45.05 (define @t82 () (not @t72)) % 44.05/45.05 (define @t83 () (tptp.theorem @t58)) % 44.05/45.05 (define @t84 () (or @t83 @t82 @t81)) % 44.05/45.05 (define @t85 () (tptp.theorem @t29)) % 44.05/45.05 (define @t86 () (not @t85)) % 44.05/45.05 (define @t87 () (not @t54)) % 44.05/45.05 (define @t88 () (tptp.theorem @t30)) % 44.05/45.05 (define @t89 () (or @t88 @t87 @t86)) % 44.05/45.05 (define @t90 () (tptp.theorem @t25)) % 44.05/45.05 (define @t91 () (tptp.implies @t25 @t26)) % 44.05/45.05 (define @t92 () (tptp.axiom @t91)) % 44.05/45.05 (define @t93 () (not @t92)) % 44.05/45.05 (define @t94 () (tptp.theorem @t91)) % 44.05/45.05 (define @t95 () (or @t94 @t93)) % 44.05/45.05 (define @t96 () (not @t90)) % 44.05/45.05 (define @t97 () (not @t94)) % 44.05/45.05 (define @t98 () (tptp.theorem @t26)) % 44.05/45.05 (define @t99 () (or @t98 @t97 @t96)) % 44.05/45.05 (define @t100 () (tptp.implies @t24 @t21)) % 44.05/45.05 (define @t101 () (tptp.or @t22 @t23)) % 44.05/45.05 (define @t102 () (tptp.not @t101)) % 44.05/45.05 (define @t103 () (tptp.or @t102 @t21)) % 44.05/45.05 (define @t104 () (tptp.or @t102 @t24)) % 44.05/45.05 (define @t105 () (tptp.implies @t104 @t103)) % 44.05/45.05 (define @t106 () (tptp.implies @t100 @t105)) % 44.05/45.05 (define @t107 () (tptp.axiom @t106)) % 44.05/45.05 (define @t108 () (not @t107)) % 44.05/45.05 (define @t109 () (tptp.theorem @t106)) % 44.05/45.05 (define @t110 () (or @t109 @t108)) % 44.05/45.05 (define @t111 () (tptp.implies @t101 @t24)) % 44.05/45.05 (define @t112 () (tptp.or @t15 @t21)) % 44.05/45.05 (define @t113 () (tptp.axiom @t111)) % 44.05/45.05 (define @t114 () (not @t113)) % 44.05/45.05 (define @t115 () (tptp.theorem @t111)) % 44.05/45.05 (define @t116 () (or @t115 @t114)) % 44.05/45.05 (define @t117 () (tptp.or @t21 @t15)) % 44.05/45.05 (define @t118 () (@list @t117 @t112)) % 44.05/45.05 (define @t119 () (tptp.implies @t112 @t117)) % 44.05/45.05 (define @t120 () (tptp.axiom @t119)) % 44.05/45.05 (define @t121 () (not @t120)) % 44.05/45.05 (define @t122 () (tptp.theorem @t119)) % 44.05/45.05 (define @t123 () (or @t122 @t121)) % 44.05/45.05 (define @t124 () (@list @t16 @t15)) % 44.05/45.05 (define @t125 () (tptp.implies @t16 @t15)) % 44.05/45.05 (define @t126 () (tptp.implies @t15 @t16)) % 44.05/45.05 (define @t127 () (tptp.not @t126)) % 44.05/45.05 (define @t128 () (tptp.not @t125)) % 44.05/45.05 (define @t129 () (tptp.or @t128 @t127)) % 44.05/45.05 (define @t130 () (tptp.not @t129)) % 44.05/45.05 (define @t131 () (tptp.implies @t125 @t130)) % 44.05/45.05 (define @t132 () (tptp.or @t128 @t130)) % 44.05/45.05 (define @t133 () (= @t131 @t132)) % 44.05/45.05 (define @t134 () (= @t132 @t131)) % 44.05/45.05 (define @t135 () (tptp.or @t130 @t128)) % 44.05/45.05 (define @t136 () (tptp.implies @t135 @t132)) % 44.05/45.05 (define @t137 () (tptp.axiom @t136)) % 44.05/45.05 (define @t138 () (not @t137)) % 44.05/45.05 (define @t139 () (tptp.theorem @t136)) % 44.05/45.05 (define @t140 () (or @t139 @t138)) % 44.05/45.05 (define @t141 () (tptp.or @t127 @t128)) % 44.05/45.05 (define @t142 () (tptp.or @t130 @t141)) % 44.05/45.05 (define @t143 () (tptp.or @t127 @t135)) % 44.05/45.05 (define @t144 () (tptp.implies @t142 @t143)) % 44.05/45.05 (define @t145 () (tptp.axiom @t144)) % 44.05/45.05 (define @t146 () (not @t145)) % 44.05/45.05 (define @t147 () (tptp.theorem @t144)) % 44.05/45.05 (define @t148 () (or @t147 @t146)) % 44.05/45.05 (define @t149 () (tptp.implies @t129 @t141)) % 44.05/45.05 (define @t150 () (tptp.axiom @t149)) % 44.05/45.05 (define @t151 () (not @t150)) % 44.05/45.05 (define @t152 () (tptp.theorem @t149)) % 44.05/45.05 (define @t153 () (or @t152 @t151)) % 44.05/45.05 (define @t154 () (tptp.theorem @t142)) % 44.05/45.05 (define @t155 () (not @t154)) % 44.05/45.05 (define @t156 () (not @t147)) % 44.05/45.05 (define @t157 () (tptp.theorem @t143)) % 44.05/45.05 (define @t158 () (or @t157 @t156 @t155)) % 44.05/45.05 (define @t159 () (tptp.theorem (tptp.implies @t126 @t135))) % 44.05/45.05 (define @t160 () (tptp.implies @t24 @t101)) % 44.05/45.05 (define @t161 () (tptp.implies @t101 @t27)) % 44.05/45.05 (define @t162 () (tptp.not @t24)) % 44.05/45.05 (define @t163 () (tptp.or @t162 @t27)) % 44.05/45.05 (define @t164 () (tptp.or @t162 @t101)) % 44.05/45.05 (define @t165 () (tptp.implies @t164 @t163)) % 44.05/45.05 (define @t166 () (tptp.or @t27 @t15)) % 44.05/45.05 (define @t167 () (tptp.or @t15 @t27)) % 44.05/45.05 (define @t168 () (tptp.implies @t117 @t117)) % 44.05/45.05 (define @t169 () (tptp.implies @t15 @t15)) % 44.05/45.05 (define @t170 () (tptp.not @t168)) % 44.05/45.05 (define @t171 () (tptp.or @t170 @t15)) % 44.05/45.05 (define @t172 () (tptp.or @t27 @t171)) % 44.05/45.05 (define @t173 () (tptp.or @t170 @t166)) % 44.05/45.05 (define @t174 () (tptp.implies @t15 @t171)) % 44.05/45.05 (define @t175 () (= @t174 @t172)) % 44.05/45.05 (define @t176 () (tptp.axiom @t172)) % 44.05/45.05 (define @t177 () (not @t176)) % 44.05/45.05 (define @t178 () (tptp.theorem @t172)) % 44.05/45.05 (define @t179 () (or @t178 @t177)) % 44.05/45.05 (define @t180 () (tptp.implies @t172 @t173)) % 44.05/45.05 (define @t181 () (tptp.axiom @t180)) % 44.05/45.05 (define @t182 () (not @t181)) % 44.05/45.05 (define @t183 () (tptp.theorem @t180)) % 44.05/45.05 (define @t184 () (or @t183 @t182)) % 44.05/45.05 (define @t185 () (not @t178)) % 44.05/45.05 (define @t186 () (not @t183)) % 44.05/45.05 (define @t187 () (tptp.theorem @t173)) % 44.05/45.05 (define @t188 () (or @t187 @t186 @t185)) % 44.05/45.05 (define @t189 () (tptp.theorem (tptp.implies @t168 @t169))) % 44.05/45.05 (define @t190 () (tptp.not @t117)) % 44.05/45.05 (define @t191 () (tptp.or @t190 @t112)) % 44.05/45.05 (define @t192 () (tptp.or @t190 @t117)) % 44.05/45.05 (define @t193 () (tptp.implies @t191 @t192)) % 44.05/45.05 (define @t194 () (tptp.implies @t119 @t193)) % 44.05/45.05 (define @t195 () (tptp.axiom @t194)) % 44.05/45.05 (define @t196 () (not @t195)) % 44.05/45.05 (define @t197 () (tptp.theorem @t194)) % 44.05/45.05 (define @t198 () (or @t197 @t196)) % 44.05/45.05 (define @t199 () (not @t122)) % 44.05/45.05 (define @t200 () (not @t197)) % 44.05/45.05 (define @t201 () (tptp.theorem @t193)) % 44.05/45.05 (define @t202 () (or @t201 @t200 @t199)) % 44.05/45.05 (define @t203 () (tptp.implies @t117 @t112)) % 44.05/45.05 (define @t204 () (tptp.axiom @t203)) % 44.05/45.05 (define @t205 () (not @t204)) % 44.05/45.05 (define @t206 () (tptp.theorem @t203)) % 44.05/45.05 (define @t207 () (or @t206 @t205)) % 44.05/45.05 (define @t208 () (tptp.theorem @t191)) % 44.05/45.05 (define @t209 () (not @t208)) % 44.05/45.05 (define @t210 () (not @t201)) % 44.05/45.05 (define @t211 () (tptp.theorem @t192)) % 44.05/45.05 (define @t212 () (or @t211 @t210 @t209)) % 44.05/45.05 (define @t213 () (tptp.theorem @t168)) % 44.05/45.05 (define @t214 () (not @t213)) % 44.05/45.05 (define @t215 () (not @t189)) % 44.05/45.05 (define @t216 () (tptp.theorem @t169)) % 44.05/45.05 (define @t217 () (or @t216 @t215 @t214)) % 44.05/45.05 (define @t218 () (tptp.theorem @t166)) % 44.05/45.05 (define @t219 () (tptp.implies @t166 @t167)) % 44.05/45.05 (define @t220 () (tptp.axiom @t219)) % 44.05/45.05 (define @t221 () (not @t220)) % 44.05/45.05 (define @t222 () (tptp.theorem @t219)) % 44.05/45.05 (define @t223 () (or @t222 @t221)) % 44.05/45.05 (define @t224 () (not @t218)) % 44.05/45.05 (define @t225 () (not @t222)) % 44.05/45.05 (define @t226 () (tptp.theorem @t167)) % 44.05/45.05 (define @t227 () (or @t226 @t225 @t224)) % 44.05/45.05 (define @t228 () (tptp.theorem @t161)) % 44.05/45.05 (define @t229 () (tptp.implies @t161 @t165)) % 44.05/45.05 (define @t230 () (tptp.axiom @t229)) % 44.05/45.05 (define @t231 () (not @t230)) % 44.05/45.05 (define @t232 () (tptp.theorem @t229)) % 44.05/45.05 (define @t233 () (or @t232 @t231)) % 44.05/45.05 (define @t234 () (not @t228)) % 44.05/45.05 (define @t235 () (not @t232)) % 44.05/45.05 (define @t236 () (tptp.theorem @t165)) % 44.05/45.05 (define @t237 () (or @t236 @t235 @t234)) % 44.05/45.05 (define @t238 () (not @t236)) % 44.05/45.05 (define @t239 () (tptp.theorem (tptp.implies @t160 @t55))) % 44.05/45.05 (define @t240 () (= @t160 @t164)) % 44.05/45.05 (define @t241 () (not @t240)) % 44.05/45.05 (define @t242 () (tptp.and @t20 @t19)) % 44.05/45.05 (define @t243 () (= @t242 @t162)) % 44.05/45.05 (define @t244 () (not @t243)) % 44.05/45.05 (define @t245 () (= @t16 @t242)) % 44.05/45.05 (define @t246 () (not @t245)) % 44.05/45.05 (define @t247 () (not @t239)) % 44.05/45.05 (define @t248 () (and @t245 @t243 @t240 @t247)) % 44.05/45.05 (define @t249 () (@list false false false false)) % 44.05/45.05 (define @t250 () (tptp.axiom @t160)) % 44.05/45.05 (define @t251 () (not @t250)) % 44.05/45.05 (define @t252 () (tptp.theorem @t160)) % 44.05/45.05 (define @t253 () (or @t252 @t251)) % 44.05/45.05 (define @t254 () (not @t252)) % 44.05/45.05 (define @t255 () (tptp.theorem @t55)) % 44.05/45.05 (define @t256 () (or @t255 @t247 @t254)) % 44.05/45.05 (define @t257 () (not @t255)) % 44.05/45.05 (define @t258 () (tptp.theorem @t28)) % 44.05/45.05 (define @t259 () (or @t258 @t70 @t257)) % 44.05/45.05 (define @t260 () (= @t126 @t28)) % 44.05/45.05 (define @t261 () (tptp.theorem @t126)) % 44.05/45.05 (define @t262 () (and @t260 @t258)) % 44.05/45.05 (define @t263 () (not @t261)) % 44.05/45.05 (define @t264 () (not @t159)) % 44.05/45.05 (define @t265 () (tptp.theorem @t135)) % 44.05/45.05 (define @t266 () (or @t265 @t264 @t263)) % 44.05/45.05 (define @t267 () (not @t265)) % 44.05/45.05 (define @t268 () (not @t139)) % 44.05/45.05 (define @t269 () (tptp.theorem @t132)) % 44.05/45.05 (define @t270 () (or @t269 @t268 @t267)) % 44.05/45.05 (define @t271 () (not @t269)) % 44.05/45.05 (define @t272 () (tptp.theorem (tptp.implies @t125 @t17))) % 44.05/45.05 (define @t273 () (not @t134)) % 44.05/45.05 (define @t274 () (tptp.and @t125 @t126)) % 44.05/45.05 (define @t275 () (= @t274 @t130)) % 44.05/45.05 (define @t276 () (not @t275)) % 44.05/45.05 (define @t277 () (= @t17 @t274)) % 44.05/45.05 (define @t278 () (not @t277)) % 44.05/45.05 (define @t279 () (not @t272)) % 44.05/45.05 (define @t280 () (and @t277 @t275 @t134 @t279)) % 44.05/45.05 (define @t281 () (tptp.theorem @t125)) % 44.05/45.05 (define @t282 () (not @t281)) % 44.05/45.05 (define @t283 () (or @t18 @t279 @t282)) % 44.05/45.05 (define @t284 () (@list true false false)) % 44.05/45.05 (define @t285 () (= @t125 @t117)) % 44.05/45.05 (define @t286 () (tptp.theorem @t117)) % 44.05/45.05 (define @t287 () (and @t285 @t286)) % 44.05/45.05 (define @t288 () (not @t286)) % 44.05/45.05 (define @t289 () (tptp.theorem @t112)) % 44.05/45.05 (define @t290 () (not @t289)) % 44.05/45.05 (define @t291 () (or @t286 @t199 @t290)) % 44.05/45.05 (define @t292 () (not @t115)) % 44.05/45.05 (define @t293 () (tptp.theorem (tptp.implies @t111 @t112))) % 44.05/45.05 (define @t294 () (not @t293)) % 44.05/45.05 (define @t295 () (or @t289 @t294 @t292)) % 44.05/45.05 (define @t296 () (tptp.theorem @t105)) % 44.05/45.05 (define @t297 () (not @t296)) % 44.05/45.05 (define @t298 () (= @t111 @t104)) % 44.05/45.05 (define @t299 () (not @t298)) % 44.05/45.05 (define @t300 () (tptp.and @t19 @t20)) % 44.05/45.05 (define @t301 () (= @t300 @t102)) % 44.05/45.05 (define @t302 () (not @t301)) % 44.05/45.05 (define @t303 () (= @t15 @t300)) % 44.05/45.05 (define @t304 () (not @t303)) % 44.05/45.05 (define @t305 () (and @t303 @t301 @t298 @t294)) % 44.05/45.05 (define @t306 () (tptp.theorem @t100)) % 44.05/45.05 (define @t307 () (not @t306)) % 44.05/45.05 (define @t308 () (not @t109)) % 44.05/45.05 (define @t309 () (or @t296 @t308 @t307)) % 44.05/45.05 (define @t310 () (tptp.or @t162 @t21)) % 44.05/45.05 (define @t311 () (= @t100 @t310)) % 44.05/45.05 (define @t312 () (and @t245 @t243 @t311 @t98)) % 44.05/45.05 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 44.05/45.05 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 44.05/45.05 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 44.05/45.05 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 44.05/45.05 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 44.05/45.05 (assume @p6 @t10) % 44.05/45.05 (assume @p7 (forall (@list @t8) (or @t11 (not (tptp.axiom @t8))))) % 44.05/45.05 (assume @p8 (forall @t9 (or @t11 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 44.05/45.05 (assume @p9 (forall @t14 (= (tptp.and @t13 @t12) (tptp.not (tptp.or (tptp.not @t13) (tptp.not @t12)))))) % 44.05/45.05 (assume @p10 (forall @t14 (= (tptp.equivalent @t13 @t12) (tptp.and (tptp.implies @t13 @t12) (tptp.implies @t12 @t13))))) % 44.05/45.05 (assume @p11 (not @t18)) % 44.05/45.05 (step @p12 :rule instantiate :premises (@p10) :args ((@list tptp.p tptp.q))) % 44.05/45.05 (step @p13 :rule instantiate :premises (@p9) :args ((@list @t20 @t19))) % 44.05/45.05 (step @p14 :rule instantiate :premises (@p6) :args ((@list @t24 @t21))) % 44.05/45.05 (step @p15 :rule instantiate :premises (@p8) :args ((@list @t26 @t25))) % 44.05/45.05 (step @p16 :rule instantiate :premises (@p8) :args ((@list @t30 @t29))) % 44.05/45.05 (step @p17 :rule instantiate :premises (@p8) :args ((@list @t34 @t33))) % 44.05/45.05 (step @p18 :rule instantiate :premises (@p7) :args ((@list @t33))) % 44.05/45.05 (step @p19 :rule instantiate :premises (@p2) :args ((@list @t16 @t31))) % 44.05/45.05 (step @p20 :rule true_intro :premises (@p19)) % 44.05/45.05 (step @p21 :rule eq-symm :args (@t35 @t33)) % 44.05/45.05 (step @p22 :rule refl :args (@t10)) % 44.05/45.05 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t10 @t36))) % 44.05/45.05 (assume-push @p491 @t10) % 44.05/45.05 (step @p25 :rule instantiate :premises (@p6) :args ((@list @t16 @t32))) % 44.05/45.05 (step-pop @p492 :rule scope :premises (@p25)) % 44.05/45.05 (step @p26 :rule process_scope :premises (@p492) :args (@t36)) % 44.05/45.05 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 44.05/45.05 (step @p29 :rule implies_elim :premises (@p28)) % 44.05/45.05 (step @p30 :rule chain_m_resolution :premises (@p29 @p6) :args ((= @t33 @t35) @t37 @t38)) % 44.05/45.05 (step @p31 :rule cong :premises (@p30) :args (@t39)) % 44.05/45.05 (step @p32 :rule trans :premises (@p31 @p20)) % 44.05/45.05 (step @p33 :rule true_elim :premises (@p32)) % 44.05/45.05 (step @p34 :rule cnf_or_pos :args (@t42)) % 44.05/45.05 (step @p35 :rule reordering :premises (@p34) :args ((or @t41 @t40 (not @t42)))) % 44.05/45.05 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p18) :args (@t41 @t43 (@list @t39 @t42))) % 44.05/45.05 (step @p37 :rule instantiate :premises (@p7) :args ((@list @t44))) % 44.05/45.05 (step @p38 :rule instantiate :premises (@p4) :args ((@list @t21 @t31 @t16))) % 44.05/45.05 (step @p39 :rule cnf_or_pos :args (@t48)) % 44.05/45.05 (step @p40 :rule reordering :premises (@p39) :args ((or @t46 @t47 (not @t48)))) % 44.05/45.05 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37) :args (@t47 @t43 (@list @t45 @t48))) % 44.05/45.05 (step @p42 :rule cnf_or_pos :args (@t52)) % 44.05/45.05 (step @p43 :rule reordering :premises (@p42) :args ((or @t51 @t50 @t49 (not @t52)))) % 44.05/45.05 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p36 @p17) :args (@t51 @t53 (@list @t47 @t41 @t52))) % 44.05/45.05 (step @p45 :rule true_intro :premises (@p44)) % 44.05/45.05 (step @p46 :rule instantiate :premises (@p6) :args ((@list @t16 @t16))) % 44.05/45.05 (step @p47 :rule refl :args (@t31)) % 44.05/45.05 (step @p48 :rule cong :premises (@p47 @p46) :args ((tptp.or @t31 @t30))) % 44.05/45.05 (step @p49 :rule instantiate :premises (@p6) :args ((@list @t29 @t30))) % 44.05/45.05 (step @p50 :rule trans :premises (@p49 @p48)) % 44.05/45.05 (step @p51 :rule cong :premises (@p50) :args (@t54)) % 44.05/45.05 (step @p52 :rule trans :premises (@p51 @p45)) % 44.05/45.05 (step @p53 :rule true_elim :premises (@p52)) % 44.05/45.05 (step @p54 :rule instantiate :premises (@p8) :args ((@list @t58 @t57))) % 44.05/45.05 (step @p55 :rule instantiate :premises (@p8) :args ((@list @t60 @t59))) % 44.05/45.05 (step @p56 :rule instantiate :premises (@p7) :args ((@list @t61))) % 44.05/45.05 (step @p57 :rule instantiate :premises (@p5) :args ((@list @t55 @t28 @t56))) % 44.05/45.05 (step @p58 :rule cnf_or_pos :args (@t65)) % 44.05/45.05 (step @p59 :rule reordering :premises (@p58) :args ((or @t63 @t64 (not @t65)))) % 44.05/45.05 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56) :args (@t64 @t43 (@list @t62 @t65))) % 44.05/45.05 (step @p61 :rule instantiate :premises (@p7) :args ((@list @t59))) % 44.05/45.05 (step @p62 :rule instantiate :premises (@p3) :args ((@list @t16 @t27))) % 44.05/45.05 (step @p63 :rule cnf_or_pos :args (@t69)) % 44.05/45.05 (step @p64 :rule reordering :premises (@p63) :args ((or @t67 @t68 (not @t69)))) % 44.05/45.05 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p61) :args (@t68 @t43 (@list @t66 @t69))) % 44.05/45.05 (step @p66 :rule cnf_or_pos :args (@t73)) % 44.05/45.05 (step @p67 :rule reordering :premises (@p66) :args ((or @t70 @t72 @t71 (not @t73)))) % 44.05/45.05 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p60 @p55) :args (@t72 @t53 (@list @t68 @t64 @t73))) % 44.05/45.05 (step @p69 :rule instantiate :premises (@p7) :args ((@list @t74))) % 44.05/45.05 (step @p70 :rule instantiate :premises (@p3) :args ((@list @t27 @t16))) % 44.05/45.05 (step @p71 :rule cnf_or_pos :args (@t78)) % 44.05/45.05 (step @p72 :rule reordering :premises (@p71) :args ((or @t76 @t77 (not @t78)))) % 44.05/45.05 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p69) :args (@t77 @t43 (@list @t75 @t78))) % 44.05/45.05 (step @p74 :rule true_intro :premises (@p73)) % 44.05/45.05 (step @p75 :rule instantiate :premises (@p6) :args (@t79)) % 44.05/45.05 (step @p76 :rule symm :premises (@p75)) % 44.05/45.05 (step @p77 :rule cong :premises (@p76) :args (@t80)) % 44.05/45.05 (step @p78 :rule trans :premises (@p77 @p74)) % 44.05/45.05 (step @p79 :rule true_elim :premises (@p78)) % 44.05/45.05 (step @p80 :rule cnf_or_pos :args (@t84)) % 44.05/45.05 (step @p81 :rule reordering :premises (@p80) :args ((or @t81 @t83 @t82 (not @t84)))) % 44.05/45.05 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p68 @p54) :args (@t83 @t53 (@list @t80 @t72 @t84))) % 44.05/45.05 (step @p83 :rule true_intro :premises (@p82)) % 44.05/45.05 (step @p84 :rule instantiate :premises (@p6) :args ((@list @t28 @t28))) % 44.05/45.05 (step @p85 :rule cong :premises (@p84) :args (@t85)) % 44.05/45.05 (step @p86 :rule trans :premises (@p85 @p83)) % 44.05/45.05 (step @p87 :rule true_elim :premises (@p86)) % 44.05/45.05 (step @p88 :rule cnf_or_pos :args (@t89)) % 44.05/45.05 (step @p89 :rule reordering :premises (@p88) :args ((or @t86 @t88 @t87 (not @t89)))) % 44.05/45.05 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p53 @p16) :args (@t88 @t53 (@list @t85 @t54 @t89))) % 44.05/45.05 (step @p91 :rule true_intro :premises (@p90)) % 44.05/45.05 (step @p92 :rule symm :premises (@p46)) % 44.05/45.05 (step @p93 :rule cong :premises (@p92) :args (@t90)) % 44.05/45.05 (step @p94 :rule trans :premises (@p93 @p91)) % 44.05/45.05 (step @p95 :rule true_elim :premises (@p94)) % 44.05/45.05 (step @p96 :rule instantiate :premises (@p7) :args ((@list @t91))) % 44.05/45.05 (step @p97 :rule instantiate :premises (@p3) :args ((@list @t21 @t16))) % 44.05/45.05 (step @p98 :rule cnf_or_pos :args (@t95)) % 44.05/45.05 (step @p99 :rule reordering :premises (@p98) :args ((or @t93 @t94 (not @t95)))) % 44.05/45.05 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p96) :args (@t94 @t43 (@list @t92 @t95))) % 44.05/45.05 (step @p101 :rule cnf_or_pos :args (@t99)) % 44.05/45.05 (step @p102 :rule reordering :premises (@p101) :args ((or @t98 @t97 @t96 (not @t99)))) % 44.05/45.05 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p95 @p15) :args (@t98 @t53 (@list @t94 @t90 @t99))) % 44.05/45.05 (step @p104 :rule instantiate :premises (@p8) :args ((@list @t105 @t100))) % 44.05/45.05 (step @p105 :rule instantiate :premises (@p7) :args ((@list @t106))) % 44.05/45.05 (step @p106 :rule instantiate :premises (@p5) :args ((@list @t24 @t21 @t102))) % 44.05/45.05 (step @p107 :rule cnf_or_pos :args (@t110)) % 44.05/45.05 (step @p108 :rule reordering :premises (@p107) :args ((or @t108 @t109 (not @t110)))) % 44.05/45.05 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p105) :args (@t109 @t43 (@list @t107 @t110))) % 44.05/45.05 (step @p110 :rule instantiate :premises (@p8) :args ((@list @t112 @t111))) % 44.05/45.05 (step @p111 :rule instantiate :premises (@p7) :args ((@list @t111))) % 44.05/45.05 (step @p112 :rule instantiate :premises (@p3) :args ((@list @t22 @t23))) % 44.05/45.05 (step @p113 :rule cnf_or_pos :args (@t116)) % 44.05/45.05 (step @p114 :rule reordering :premises (@p113) :args ((or @t114 @t115 (not @t116)))) % 44.05/45.05 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p111) :args (@t115 @t43 (@list @t113 @t116))) % 44.05/45.05 (step @p116 :rule instantiate :premises (@p8) :args (@t118)) % 44.05/45.05 (step @p117 :rule instantiate :premises (@p7) :args ((@list @t119))) % 44.05/45.05 (step @p118 :rule instantiate :premises (@p3) :args ((@list @t15 @t21))) % 44.05/45.05 (step @p119 :rule cnf_or_pos :args (@t123)) % 44.05/45.05 (step @p120 :rule reordering :premises (@p119) :args ((or @t121 @t122 (not @t123)))) % 44.05/45.05 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p117) :args (@t122 @t43 (@list @t120 @t123))) % 44.05/45.05 (step @p122 :rule instantiate :premises (@p6) :args (@t124)) % 44.05/45.05 (step @p123 :rule instantiate :premises (@p8) :args ((@list @t17 @t125))) % 44.05/45.05 (step @p124 :rule eq-symm :args (@t131 @t132)) % 44.05/45.05 (step @p125 :rule cong :premises (@p22 @p124) :args ((=> @t10 @t133))) % 44.05/45.05 (assume-push @p493 @t10) % 44.05/45.05 (step @p127 :rule instantiate :premises (@p6) :args ((@list @t125 @t130))) % 44.05/45.05 (step-pop @p494 :rule scope :premises (@p127)) % 44.05/45.05 (step @p128 :rule process_scope :premises (@p494) :args (@t133)) % 44.05/45.05 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 44.05/45.05 (step @p131 :rule implies_elim :premises (@p130)) % 44.05/45.05 (step @p132 :rule chain_m_resolution :premises (@p131 @p6) :args (@t134 @t37 @t38)) % 44.05/45.05 (step @p133 :rule instantiate :premises (@p8) :args ((@list @t132 @t135))) % 44.05/45.05 (step @p134 :rule instantiate :premises (@p7) :args ((@list @t136))) % 44.05/45.05 (step @p135 :rule instantiate :premises (@p3) :args ((@list @t130 @t128))) % 44.05/45.05 (step @p136 :rule cnf_or_pos :args (@t140)) % 44.05/45.05 (step @p137 :rule reordering :premises (@p136) :args ((or @t138 @t139 (not @t140)))) % 44.05/45.05 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p134) :args (@t139 @t43 (@list @t137 @t140))) % 44.05/45.05 (step @p139 :rule instantiate :premises (@p8) :args ((@list @t135 @t126))) % 44.05/45.05 (step @p140 :rule instantiate :premises (@p8) :args ((@list @t143 @t142))) % 44.05/45.05 (step @p141 :rule instantiate :premises (@p7) :args ((@list @t144))) % 44.05/45.05 (step @p142 :rule instantiate :premises (@p4) :args ((@list @t130 @t127 @t128))) % 44.05/45.05 (step @p143 :rule cnf_or_pos :args (@t148)) % 44.05/45.05 (step @p144 :rule reordering :premises (@p143) :args ((or @t146 @t147 (not @t148)))) % 44.05/45.05 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p141) :args (@t147 @t43 (@list @t145 @t148))) % 44.05/45.05 (step @p146 :rule instantiate :premises (@p7) :args ((@list @t149))) % 44.05/45.05 (step @p147 :rule instantiate :premises (@p3) :args ((@list @t128 @t127))) % 44.05/45.05 (step @p148 :rule cnf_or_pos :args (@t153)) % 44.05/45.05 (step @p149 :rule reordering :premises (@p148) :args ((or @t151 @t152 (not @t153)))) % 44.05/45.05 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p146) :args (@t152 @t43 (@list @t150 @t153))) % 44.05/45.05 (step @p151 :rule true_intro :premises (@p150)) % 44.05/45.05 (step @p152 :rule instantiate :premises (@p6) :args ((@list @t129 @t141))) % 44.05/45.05 (step @p153 :rule symm :premises (@p152)) % 44.05/45.05 (step @p154 :rule cong :premises (@p153) :args (@t154)) % 44.05/45.05 (step @p155 :rule trans :premises (@p154 @p151)) % 44.05/45.05 (step @p156 :rule true_elim :premises (@p155)) % 44.05/45.05 (step @p157 :rule cnf_or_pos :args (@t158)) % 44.05/45.05 (step @p158 :rule reordering :premises (@p157) :args ((or @t155 @t157 @t156 (not @t158)))) % 44.05/45.05 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p145 @p140) :args (@t157 @t53 (@list @t154 @t147 @t158))) % 44.05/45.05 (step @p160 :rule true_intro :premises (@p159)) % 44.05/45.05 (step @p161 :rule instantiate :premises (@p6) :args ((@list @t126 @t135))) % 44.05/45.05 (step @p162 :rule cong :premises (@p161) :args (@t159)) % 44.05/45.05 (step @p163 :rule trans :premises (@p162 @p160)) % 44.05/45.05 (step @p164 :rule true_elim :premises (@p163)) % 44.05/45.05 (step @p165 :rule instantiate :premises (@p8) :args (@t79)) % 44.05/45.05 (step @p166 :rule instantiate :premises (@p8) :args ((@list @t55 @t160))) % 44.05/45.05 (step @p167 :rule instantiate :premises (@p8) :args ((@list @t165 @t161))) % 44.05/45.05 (step @p168 :rule instantiate :premises (@p8) :args ((@list @t167 @t166))) % 44.05/45.05 (step @p169 :rule instantiate :premises (@p8) :args ((@list @t169 @t168))) % 44.05/45.05 (step @p170 :rule instantiate :premises (@p8) :args ((@list @t173 @t172))) % 44.05/45.05 (step @p171 :rule instantiate :premises (@p7) :args ((@list @t172))) % 44.05/45.05 (step @p172 :rule instantiate :premises (@p2) :args ((@list @t15 @t170))) % 44.05/45.05 (step @p173 :rule true_intro :premises (@p172)) % 44.05/45.05 (step @p174 :rule eq-symm :args (@t174 @t172)) % 44.05/45.05 (step @p175 :rule cong :premises (@p22 @p174) :args ((=> @t10 @t175))) % 44.05/45.05 (assume-push @p495 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@p392 :rule implies_elim :premises (@p387)) % 44.05/45.05 (step @p393 :rule cnf_and_neg :args (@t280)) % 44.05/45.05 (step @p394 :rule resolution :premises (@p393 @p392) :args (true @t280)) % 44.05/45.05 (step @p395 :rule eq_resolve :premises (@p394 @p361)) % 44.05/45.05 (step @p396 :rule reordering :premises (@p395) :args ((or @t278 @t276 @t271 @t273 @t272))) % 44.05/45.05 (step @p397 :rule chain_m_resolution :premises (@p396 @p355 @p354 @p353 @p132) :args (@t272 @t249 (@list @t277 @t275 @t269 @t134))) % 44.05/45.05 (step @p398 :rule cnf_or_pos :args (@t283)) % 44.05/45.05 (step @p399 :rule reordering :premises (@p398) :args ((or @t18 @t282 @t279 (not @t283)))) % 44.05/45.05 (step @p400 :rule chain_m_resolution :premises (@p399 @p11 @p397 @p123) :args (@t282 @t284 (@list @t18 @t272 @t283))) % 44.05/45.05 (assume-push @p537 @t285) % 44.05/45.05 (assume-push @p538 @t286) % 44.05/45.05 (assume-push @p539 @t286) % 44.05/45.05 (assume-push @p540 @t285) % 44.05/45.05 (step @p405 :rule true_intro :premises (@p538)) % 44.05/45.05 (step @p406 :rule cong :premises (@p122) :args (@t281)) % 44.05/45.05 (step @p407 :rule trans :premises (@p406 @p405)) % 44.05/45.05 (step @p408 :rule true_elim :premises (@p407)) % 44.05/45.05 (step-pop @p541 :rule scope :premises (@p408)) % 44.05/45.05 (step-pop @p542 :rule scope :premises (@p541)) % 44.05/45.05 (step @p409 :rule process_scope :premises (@p542) :args (@t281)) % 44.05/45.05 (step @p412 :rule and_intro :premises (@p538 @p122)) % 44.05/45.05 (step @p413 :rule modus_ponens :premises (@p412 @p409)) % 44.05/45.05 (step-pop @p543 :rule scope :premises (@p413)) % 44.05/45.05 (step-pop @p544 :rule scope :premises (@p543)) % 44.05/45.05 (step @p414 :rule process_scope :premises (@p544) :args (@t281)) % 44.05/45.05 (step @p417 :rule implies_elim :premises (@p414)) % 44.05/45.05 (step @p418 :rule cnf_and_neg :args (@t287)) % 44.05/45.05 (step @p419 :rule resolution :premises (@p418 @p417) :args (true @t287)) % 44.05/45.05 (step @p420 :rule reordering :premises (@p419) :args ((or @t281 (not @t285) @t288))) % 44.05/45.05 (step @p421 :rule chain_m_resolution :premises (@p420 @p400 @p122) :args (@t288 (@list true false) (@list @t281 @t285))) % 44.05/45.05 (step @p422 :rule cnf_or_pos :args (@t291)) % 44.05/45.05 (step @p423 :rule reordering :premises (@p422) :args ((or @t286 @t199 @t290 (not @t291)))) % 44.05/45.05 (step @p424 :rule chain_m_resolution :premises (@p423 @p421 @p121 @p116) :args (@t290 @t284 (@list @t286 @t122 @t291))) % 44.05/45.05 (step @p425 :rule cnf_or_pos :args (@t295)) % 44.05/45.05 (step @p426 :rule reordering :premises (@p425) :args ((or @t289 @t292 @t294 (not @t295)))) % 44.05/45.05 (step @p427 :rule chain_m_resolution :premises (@p426 @p424 @p115 @p110) :args (@t294 @t284 (@list @t289 @t115 @t295))) % 44.05/45.05 (step @p428 :rule instantiate :premises (@p6) :args ((@list @t101 @t24))) % 44.05/45.05 (step @p429 :rule refl :args (@t297)) % 44.05/45.05 (step @p430 :rule bool-double-not-elim :args (@t293)) % 44.05/45.05 (step @p431 :rule refl :args (@t299)) % 44.05/45.05 (step @p432 :rule refl :args (@t302)) % 44.05/45.05 (step @p433 :rule refl :args (@t304)) % 44.05/45.05 (step @p434 :rule nary_cong :premises (@p433 @p432 @p431 @p430 @p429) :args ((or @t304 @t302 @t299 (not @t294) @t297))) % 44.05/45.05 (assume-push @p545 @t303) % 44.05/45.05 (assume-push @p546 @t301) % 44.05/45.05 (assume-push @p547 @t298) % 44.05/45.05 (assume-push @p548 @t294) % 44.05/45.05 (assume-push @p549 @t294) % 44.05/45.05 (assume-push @p550 @t298) % 44.05/45.05 (assume-push @p551 @t303) % 44.05/45.05 (assume-push @p552 @t301) % 44.05/45.05 (step @p443 :rule false_intro :premises (@p548)) % 44.05/45.05 (step @p444 :rule refl :args (@t21)) % 44.05/45.05 (step @p445 :rule cong :premises (@p257 @p444) :args (@t103)) % 44.05/45.05 (step @p446 :rule symm :premises (@p428)) % 44.05/45.05 (step @p447 :rule cong :premises (@p446 @p445) :args (@t105)) % 44.05/45.05 (step @p448 :rule cong :premises (@p447) :args (@t296)) % 44.05/45.05 (step @p449 :rule trans :premises (@p448 @p443)) % 44.05/45.05 (step @p450 :rule false_elim :premises (@p449)) % 44.05/45.05 (step-pop @p553 :rule scope :premises (@p450)) % 44.05/45.05 (step-pop @p554 :rule scope :premises (@p553)) % 44.05/45.05 (step-pop @p555 :rule scope :premises (@p554)) % 44.05/45.05 (step-pop @p556 :rule scope :premises (@p555)) % 44.05/45.05 (step @p451 :rule process_scope :premises (@p556) :args (@t297)) % 44.05/45.05 (step @p456 :rule and_intro :premises (@p548 @p428 @p253 @p255)) % 44.05/45.05 (step @p457 :rule modus_ponens :premises (@p456 @p451)) % 44.05/45.05 (step-pop @p557 :rule scope :premises (@p457)) % 44.05/45.05 (step-pop @p558 :rule scope :premises (@p557)) % 44.05/45.05 (step-pop @p559 :rule scope :premises (@p558)) % 44.05/45.05 (step-pop @p560 :rule scope :premises (@p559)) % 44.05/45.05 (step @p458 :rule process_scope :premises (@p560) :args (@t297)) % 44.05/45.05 (step @p463 :rule implies_elim :premises (@p458)) % 44.05/45.05 (step @p464 :rule cnf_and_neg :args (@t305)) % 44.05/45.05 (step @p465 :rule resolution :premises (@p464 @p463) :args (true @t305)) % 44.05/45.05 (step @p466 :rule eq_resolve :premises (@p465 @p434)) % 44.05/45.05 (step @p467 :rule reordering :premises (@p466) :args ((or @t304 @t302 @t299 @t297 @t293))) % 44.05/45.05 (step @p468 :rule chain_m_resolution :premises (@p467 @p253 @p255 @p428 @p427) :args (@t297 (@list false false false true) (@list @t303 @t301 @t298 @t293))) % 44.05/45.05 (step @p469 :rule cnf_or_pos :args (@t309)) % 44.05/45.05 (step @p470 :rule reordering :premises (@p469) :args ((or @t296 @t308 @t307 (not @t309)))) % 44.05/45.05 (step @p471 :rule chain_m_resolution :premises (@p470 @p468 @p109 @p104) :args (@t307 @t284 (@list @t296 @t109 @t309))) % 44.05/45.05 (assume-push @p561 @t245) % 44.05/45.05 (assume-push @p562 @t243) % 44.05/45.05 (assume-push @p563 @t311) % 44.05/45.05 (assume-push @p564 @t98) % 44.05/45.05 (step @p476 :rule true_intro :premises (@p103)) % 44.05/45.05 (step @p444 :rule refl :args (@t21)) % 44.05/45.05 (step @p288 :rule symm :premises (@p12)) % 44.05/45.05 (step @p289 :rule symm :premises (@p13)) % 44.05/45.05 (step @p290 :rule trans :premises (@p289 @p288)) % 44.05/45.05 (step @p477 :rule cong :premises (@p290 @p444) :args (@t310)) % 44.05/45.05 (step @p478 :rule trans :premises (@p14 @p477)) % 44.05/45.05 (step @p479 :rule cong :premises (@p478) :args (@t306)) % 44.05/45.05 (step @p480 :rule trans :premises (@p479 @p476)) % 44.05/45.05 (step @p481 :rule true_elim :premises (@p480)) % 44.05/45.05 (step-pop @p565 :rule scope :premises (@p481)) % 44.05/45.05 (step-pop @p566 :rule scope :premises (@p565)) % 44.05/45.05 (step-pop @p567 :rule scope :premises (@p566)) % 44.05/45.05 (step-pop @p568 :rule scope :premises (@p567)) % 44.05/45.05 (step @p482 :rule process_scope :premises (@p568) :args (@t306)) % 44.05/45.05 (step @p487 :rule implies_elim :premises (@p482)) % 44.05/45.05 (step @p488 :rule cnf_and_neg :args (@t312)) % 44.05/45.05 (step @p489 :rule resolution :premises (@p488 @p487) :args (true @t312)) % 44.05/45.05 (step @p490 false :rule chain_m_resolution :premises (@p489 @p471 @p103 @p14 @p13 @p12) :args (false (@list true false false false false) (@list @t306 @t98 @t311 @t243 @t245))) % 44.05/45.05 ) % 33.33/45.07 % SZS output end Proof % 33.33/45.07 % cvc5 exiting %------------------------------------------------------------------------------