%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ031+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:44:00 AM UTC 2026 % Result : Theorem 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : PUZ031+2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n018.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 13:12:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.much_smaller (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.eats (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.plant (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.grain (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.animal (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.snail (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.caterpillar (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.bird (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.fox (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.wolf (-> $$unsorted Bool)) % 0.46/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.63 (define @t2 () (tptp.wolf @t1)) % 0.46/0.63 (define @t3 () (@list @t1)) % 0.46/0.63 (define @t4 () (exists @t3 @t2)) % 0.46/0.63 (define @t5 () (tptp.fox @t1)) % 0.46/0.63 (define @t6 () (exists @t3 @t5)) % 0.46/0.63 (define @t7 () (tptp.bird @t1)) % 0.46/0.63 (define @t8 () (exists @t3 @t7)) % 0.46/0.63 (define @t9 () (tptp.snail @t1)) % 0.46/0.63 (define @t10 () (exists @t3 @t9)) % 0.46/0.63 (define @t11 () (@var "X" $$unsorted)) % 0.46/0.63 (define @t12 () (tptp.animal @t11)) % 0.46/0.63 (define @t13 () (tptp.wolf @t11)) % 0.46/0.63 (define @t14 () (@list @t11)) % 0.46/0.63 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.46/0.63 (define @t16 () (tptp.fox @t11)) % 0.46/0.63 (define @t17 () (forall @t14 (=> @t16 @t12))) % 0.46/0.63 (define @t18 () (tptp.bird @t11)) % 0.46/0.63 (define @t19 () (forall @t14 (=> @t18 @t12))) % 0.46/0.63 (define @t20 () (tptp.caterpillar @t11)) % 0.46/0.63 (define @t21 () (tptp.snail @t11)) % 0.46/0.63 (define @t22 () (forall @t14 (=> @t21 @t12))) % 0.46/0.63 (define @t23 () (tptp.grain @t1)) % 0.46/0.63 (define @t24 () (exists @t3 @t23)) % 0.46/0.63 (define @t25 () (tptp.plant @t11)) % 0.46/0.63 (define @t26 () (tptp.grain @t11)) % 0.46/0.63 (define @t27 () (forall @t14 (=> @t26 @t25))) % 0.46/0.63 (define @t28 () (@var "Y1" $$unsorted)) % 0.46/0.63 (define @t29 () (tptp.eats @t11 @t28)) % 0.46/0.63 (define @t30 () (@var "Z" $$unsorted)) % 0.46/0.63 (define @t31 () (tptp.eats @t28 @t30)) % 0.46/0.63 (define @t32 () (tptp.plant @t30)) % 0.46/0.63 (define @t33 () (and @t32 @t31)) % 0.46/0.63 (define @t34 () (@list @t30)) % 0.46/0.63 (define @t35 () (exists @t34 @t33)) % 0.46/0.63 (define @t36 () (tptp.much_smaller @t28 @t11)) % 0.46/0.63 (define @t37 () (tptp.animal @t28)) % 0.46/0.63 (define @t38 () (and @t37 @t36 @t35)) % 0.46/0.63 (define @t39 () (=> @t38 @t29)) % 0.46/0.63 (define @t40 () (@list @t28)) % 0.46/0.63 (define @t41 () (forall @t40 @t39)) % 0.46/0.63 (define @t42 () (@var "Y" $$unsorted)) % 0.46/0.63 (define @t43 () (tptp.eats @t11 @t42)) % 0.46/0.63 (define @t44 () (tptp.plant @t42)) % 0.46/0.63 (define @t45 () (@list @t42)) % 0.46/0.63 (define @t46 () (forall @t45 (=> @t44 @t43))) % 0.46/0.63 (define @t47 () (or @t46 @t41)) % 0.46/0.63 (define @t48 () (=> @t12 @t47)) % 0.46/0.63 (define @t49 () (forall @t14 @t48)) % 0.46/0.63 (define @t50 () (tptp.much_smaller @t11 @t42)) % 0.46/0.63 (define @t51 () (tptp.bird @t42)) % 0.46/0.63 (define @t52 () (and @t51 @t21)) % 0.46/0.63 (define @t53 () (@list @t42 @t11)) % 0.46/0.63 (define @t54 () (forall @t53 (=> @t52 @t50))) % 0.46/0.63 (define @t55 () (tptp.fox @t42)) % 0.46/0.63 (define @t56 () (and @t18 @t55)) % 0.46/0.63 (define @t57 () (@list @t11 @t42)) % 0.46/0.63 (define @t58 () (forall @t57 (=> @t56 @t50))) % 0.46/0.63 (define @t59 () (tptp.wolf @t42)) % 0.46/0.63 (define @t60 () (and @t16 @t59)) % 0.46/0.63 (define @t61 () (forall @t57 (=> @t60 @t50))) % 0.46/0.63 (define @t62 () (not @t43)) % 0.46/0.63 (define @t63 () (and @t13 @t55)) % 0.46/0.63 (define @t64 () (forall @t57 (=> @t63 @t62))) % 0.46/0.63 (define @t65 () (tptp.grain @t42)) % 0.46/0.63 (define @t66 () (and @t13 @t65)) % 0.46/0.63 (define @t67 () (forall @t57 (=> @t66 @t62))) % 0.46/0.63 (define @t68 () (tptp.snail @t42)) % 0.46/0.63 (define @t69 () (and @t18 @t68)) % 0.46/0.63 (define @t70 () (forall @t57 (=> @t69 @t62))) % 0.46/0.63 (define @t71 () (and @t44 @t43)) % 0.46/0.63 (define @t72 () (exists @t45 @t71)) % 0.46/0.63 (define @t73 () (=> @t21 @t72)) % 0.46/0.63 (define @t74 () (forall @t14 @t73)) % 0.46/0.63 (define @t75 () (tptp.eats @t42 @t30)) % 0.46/0.63 (define @t76 () (tptp.grain @t30)) % 0.46/0.63 (define @t77 () (and @t76 @t75 @t43)) % 0.46/0.63 (define @t78 () (exists @t34 @t77)) % 0.46/0.63 (define @t79 () (tptp.animal @t42)) % 0.46/0.63 (define @t80 () (and @t12 @t79 @t78)) % 0.46/0.63 (define @t81 () (exists @t57 @t80)) % 0.46/0.63 (define @t82 () (not @t81)) % 0.46/0.63 (define @t83 () (not @t65)) % 0.46/0.63 (define @t84 () (not @t13)) % 0.46/0.63 (define @t85 () (or @t84 @t83 @t62)) % 0.46/0.63 (define @t86 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 0.46/0.63 (define @t87 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 0.46/0.63 (define @t88 () (not (tptp.eats @t87 @t86))) % 0.46/0.63 (define @t89 () (not (tptp.plant @t86))) % 0.46/0.63 (define @t90 () (tptp.eats @t11 @t87)) % 0.46/0.63 (define @t91 () (not (tptp.much_smaller @t87 @t11))) % 0.46/0.63 (define @t92 () (not (tptp.animal @t87))) % 0.46/0.63 (define @t93 () (@var "BOUND_VARIABLE_7612" $$unsorted)) % 0.46/0.63 (define @t94 () (tptp.eats @t11 @t93)) % 0.46/0.63 (define @t95 () (not (tptp.plant @t93))) % 0.46/0.63 (define @t96 () (not @t12)) % 0.46/0.63 (define @t97 () (or @t92 @t91 @t90 @t89 @t88)) % 0.46/0.63 (define @t98 () (or @t95 @t94)) % 0.46/0.63 (define @t99 () (or @t96 @t98 @t97)) % 0.46/0.63 (define @t100 () (forall (@list @t11 @t93 @t87 @t86) @t99)) % 0.46/0.63 (define @t101 () (forall (@list @t93 @t87 @t86) @t99)) % 0.46/0.63 (define @t102 () (forall (@list @t87 @t86) @t97)) % 0.46/0.63 (define @t103 () (@var "BOUND_VARIABLE_7594" $$unsorted)) % 0.46/0.63 (define @t104 () (forall (@list @t93) @t98)) % 0.46/0.63 (define @t105 () (or @t96 @t104 @t102)) % 0.46/0.63 (define @t106 () (not (tptp.eats @t28 @t103))) % 0.46/0.63 (define @t107 () (not (tptp.plant @t103))) % 0.46/0.63 (define @t108 () (not @t36)) % 0.46/0.63 (define @t109 () (not @t37)) % 0.46/0.63 (define @t110 () (or @t109 @t108 @t29 @t107 @t106)) % 0.46/0.63 (define @t111 () (@list @t28 @t103)) % 0.46/0.63 (define @t112 () (forall @t111 @t110)) % 0.46/0.63 (define @t113 () (not @t44)) % 0.46/0.63 (define @t114 () (forall @t45 (or @t113 @t43))) % 0.46/0.63 (define @t115 () (or @t96 @t114 @t112)) % 0.46/0.63 (define @t116 () (or @t114 @t112)) % 0.46/0.63 (define @t117 () (or @t107 @t106)) % 0.46/0.63 (define @t118 () (or @t109 @t108 @t117 @t29)) % 0.46/0.63 (define @t119 () (forall @t111 @t118)) % 0.46/0.63 (define @t120 () (@list @t103)) % 0.46/0.63 (define @t121 () (forall @t120 @t118)) % 0.46/0.63 (define @t122 () (forall @t120 @t117)) % 0.46/0.63 (define @t123 () (@list @t30)) % 0.46/0.63 (define @t124 () (or @t109 @t108 @t122 @t29)) % 0.46/0.63 (define @t125 () (forall @t34 (or (not @t32) (not @t31)))) % 0.46/0.63 (define @t126 () (or @t109 @t108 @t125 @t29)) % 0.46/0.63 (define @t127 () (not @t125)) % 0.46/0.63 (define @t128 () (not @t127)) % 0.46/0.63 (define @t129 () (or @t109 @t108 @t128)) % 0.46/0.63 (define @t130 () (and @t37 @t36 @t127)) % 0.46/0.63 (define @t131 () (forall @t34 (not @t33))) % 0.46/0.63 (define @t132 () (not @t131)) % 0.46/0.63 (define @t133 () (forall @t3 (not @t23))) % 0.46/0.63 (define @t134 () (@quantifiers_skolemize @t133 0)) % 0.46/0.63 (define @t135 () (forall @t3 (not @t5))) % 0.46/0.63 (define @t136 () (@quantifiers_skolemize @t135 0)) % 0.46/0.63 (define @t137 () (forall @t3 (not @t2))) % 0.46/0.63 (define @t138 () (@quantifiers_skolemize @t137 0)) % 0.46/0.63 (define @t139 () (forall @t3 (not @t7))) % 0.46/0.63 (define @t140 () (@quantifiers_skolemize @t139 0)) % 0.46/0.63 (define @t141 () (forall @t3 (not @t9))) % 0.46/0.63 (define @t142 () (@quantifiers_skolemize @t141 0)) % 0.46/0.63 (define @t143 () (forall @t45 (or @t113 (not (tptp.eats @t142 @t42))))) % 0.46/0.63 (define @t144 () (@quantifiers_skolemize @t143 0)) % 0.46/0.63 (define @t145 () (not @t21)) % 0.46/0.63 (define @t146 () (not @t51)) % 0.46/0.63 (define @t147 () (@list @t140 @t142)) % 0.46/0.63 (define @t148 () (not @t141)) % 0.46/0.63 (define @t149 () (tptp.snail @t142)) % 0.46/0.63 (define @t150 () (not @t149)) % 0.46/0.63 (define @t151 () (not @t150)) % 0.46/0.63 (define @t152 () (@list true)) % 0.46/0.63 (define @t153 () (not @t139)) % 0.46/0.63 (define @t154 () (tptp.bird @t140)) % 0.46/0.63 (define @t155 () (not @t154)) % 0.46/0.63 (define @t156 () (not @t155)) % 0.46/0.63 (define @t157 () (tptp.much_smaller @t142 @t140)) % 0.46/0.63 (define @t158 () (or @t155 @t150 @t157)) % 0.46/0.63 (define @t159 () (@list false false false)) % 0.46/0.63 (define @t160 () (not @t68)) % 0.46/0.63 (define @t161 () (not @t18)) % 0.46/0.63 (define @t162 () (tptp.eats @t140 @t142)) % 0.46/0.63 (define @t163 () (not @t162)) % 0.46/0.63 (define @t164 () (or @t155 @t150 @t163)) % 0.46/0.63 (define @t165 () (not (forall @t45 (or @t113 @t62)))) % 0.46/0.63 (define @t166 () (forall @t45 (not @t71))) % 0.46/0.63 (define @t167 () (not @t166)) % 0.46/0.63 (define @t168 () (@list @t142)) % 0.46/0.63 (define @t169 () (not @t143)) % 0.46/0.63 (define @t170 () (or @t150 @t169)) % 0.46/0.63 (define @t171 () (@list false false)) % 0.46/0.63 (define @t172 () (tptp.eats @t142 @t144)) % 0.46/0.63 (define @t173 () (not @t172)) % 0.46/0.63 (define @t174 () (tptp.plant @t144)) % 0.46/0.63 (define @t175 () (not @t174)) % 0.46/0.63 (define @t176 () (or @t175 @t173)) % 0.46/0.63 (define @t177 () (@list @t176)) % 0.46/0.63 (define @t178 () (not @t133)) % 0.46/0.63 (define @t179 () (tptp.grain @t134)) % 0.46/0.63 (define @t180 () (not @t179)) % 0.46/0.63 (define @t181 () (not @t180)) % 0.46/0.63 (define @t182 () (tptp.plant @t134)) % 0.46/0.63 (define @t183 () (or @t180 @t182)) % 0.46/0.63 (define @t184 () (tptp.animal @t142)) % 0.46/0.63 (define @t185 () (or @t150 @t184)) % 0.46/0.63 (define @t186 () (tptp.animal @t140)) % 0.46/0.63 (define @t187 () (or @t155 @t186)) % 0.46/0.63 (define @t188 () (not @t157)) % 0.46/0.63 (define @t189 () (not @t184)) % 0.46/0.63 (define @t190 () (tptp.eats @t140 @t134)) % 0.46/0.63 (define @t191 () (not @t182)) % 0.46/0.63 (define @t192 () (not @t186)) % 0.46/0.63 (define @t193 () (or @t192 @t191 @t190 @t189 @t188 @t162 @t175 @t173)) % 0.46/0.63 (define @t194 () (@var "BOUND_VARIABLE_7719" $$unsorted)) % 0.46/0.63 (define @t195 () (not (tptp.eats @t42 @t194))) % 0.46/0.63 (define @t196 () (not (tptp.grain @t194))) % 0.46/0.63 (define @t197 () (not @t79)) % 0.46/0.63 (define @t198 () (or @t96 @t197 @t62 @t196 @t195)) % 0.46/0.63 (define @t199 () (@list @t11 @t42 @t194)) % 0.46/0.63 (define @t200 () (or @t196 @t195)) % 0.46/0.63 (define @t201 () (or @t96 @t197 @t62 @t200)) % 0.46/0.63 (define @t202 () (forall @t199 @t201)) % 0.46/0.63 (define @t203 () (@list @t194)) % 0.46/0.63 (define @t204 () (forall @t203 @t201)) % 0.46/0.63 (define @t205 () (forall @t203 @t200)) % 0.46/0.63 (define @t206 () (or @t96 @t197 @t62 @t205)) % 0.46/0.63 (define @t207 () (not @t75)) % 0.46/0.63 (define @t208 () (not @t76)) % 0.46/0.63 (define @t209 () (or @t208 @t207)) % 0.46/0.63 (define @t210 () (forall @t34 @t209)) % 0.46/0.63 (define @t211 () (or @t96 @t197 @t62 @t210)) % 0.46/0.63 (define @t212 () (or @t62 @t210)) % 0.46/0.63 (define @t213 () (not @t212)) % 0.46/0.63 (define @t214 () (not @t213)) % 0.46/0.63 (define @t215 () (or @t96 @t197 @t214)) % 0.46/0.63 (define @t216 () (and @t12 @t79 @t213)) % 0.46/0.63 (define @t217 () (forall @t57 (not @t216))) % 0.46/0.63 (define @t218 () (not @t217)) % 0.46/0.63 (define @t219 () (or @t62 @t209)) % 0.46/0.63 (define @t220 () (or @t208 @t207 @t62)) % 0.46/0.63 (define @t221 () (forall @t34 (not @t77))) % 0.46/0.63 (define @t222 () (not @t221)) % 0.46/0.63 (define @t223 () (not @t135)) % 0.46/0.63 (define @t224 () (tptp.fox @t136)) % 0.46/0.63 (define @t225 () (not @t224)) % 0.46/0.63 (define @t226 () (not @t225)) % 0.46/0.63 (define @t227 () (tptp.animal @t136)) % 0.46/0.63 (define @t228 () (or @t225 @t227)) % 0.46/0.63 (define @t229 () (not @t190)) % 0.46/0.63 (define @t230 () (tptp.eats @t136 @t140)) % 0.46/0.63 (define @t231 () (not @t230)) % 0.46/0.63 (define @t232 () (not @t227)) % 0.46/0.63 (define @t233 () (or @t232 @t192 @t231 @t180 @t229)) % 0.46/0.63 (define @t234 () (not @t55)) % 0.46/0.63 (define @t235 () (tptp.much_smaller @t140 @t136)) % 0.46/0.63 (define @t236 () (or @t155 @t225 @t235)) % 0.46/0.63 (define @t237 () (not @t235)) % 0.46/0.63 (define @t238 () (tptp.eats @t136 @t134)) % 0.46/0.63 (define @t239 () (or @t232 @t191 @t238 @t192 @t237 @t230 @t191 @t229)) % 0.46/0.63 (define @t240 () (@list false false false false true false false)) % 0.46/0.63 (define @t241 () (not @t137)) % 0.46/0.63 (define @t242 () (tptp.wolf @t138)) % 0.46/0.63 (define @t243 () (not @t242)) % 0.46/0.63 (define @t244 () (not @t243)) % 0.46/0.63 (define @t245 () (tptp.eats @t138 @t136)) % 0.46/0.63 (define @t246 () (not @t245)) % 0.46/0.63 (define @t247 () (or @t243 @t225 @t246)) % 0.46/0.63 (define @t248 () (not @t59)) % 0.46/0.63 (define @t249 () (not @t16)) % 0.46/0.63 (define @t250 () (tptp.much_smaller @t136 @t138)) % 0.46/0.63 (define @t251 () (or @t225 @t243 @t250)) % 0.46/0.63 (define @t252 () (tptp.animal @t138)) % 0.46/0.63 (define @t253 () (or @t243 @t252)) % 0.46/0.63 (define @t254 () (not @t238)) % 0.46/0.63 (define @t255 () (not @t250)) % 0.46/0.63 (define @t256 () (tptp.eats @t138 @t134)) % 0.46/0.63 (define @t257 () (not @t252)) % 0.46/0.63 (define @t258 () (or @t257 @t191 @t256 @t232 @t255 @t245 @t191 @t254)) % 0.46/0.63 (define @t259 () (not @t256)) % 0.46/0.63 (define @t260 () (or @t243 @t180 @t259)) % 0.46/0.63 (define @t261 () (not @t260)) % 0.46/0.63 (define @t262 () (forall @t57 @t85)) % 0.46/0.63 (assume @p1 @t4) % 0.46/0.63 (assume @p2 @t6) % 0.46/0.63 (assume @p3 @t8) % 0.46/0.63 (assume @p4 (exists @t3 (tptp.caterpillar @t1))) % 0.46/0.63 (assume @p5 @t10) % 0.46/0.63 (assume @p6 @t15) % 0.46/0.63 (assume @p7 @t17) % 0.46/0.63 (assume @p8 @t19) % 0.46/0.63 (assume @p9 (forall @t14 (=> @t20 @t12))) % 0.46/0.63 (assume @p10 @t22) % 0.46/0.63 (assume @p11 @t24) % 0.46/0.63 (assume @p12 @t27) % 0.46/0.63 (assume @p13 @t49) % 0.46/0.63 (assume @p14 @t54) % 0.46/0.63 (assume @p15 (forall @t53 (=> (and @t51 @t20) @t50))) % 0.46/0.63 (assume @p16 @t58) % 0.46/0.63 (assume @p17 @t61) % 0.46/0.63 (assume @p18 @t64) % 0.46/0.63 (assume @p19 @t67) % 0.46/0.63 (assume @p20 (forall @t57 (=> (and @t18 (tptp.caterpillar @t42)) @t43))) % 0.46/0.63 (assume @p21 @t70) % 0.46/0.63 (assume @p22 (forall @t14 (=> @t20 @t72))) % 0.46/0.63 (assume @p23 @t74) % 0.46/0.63 (assume @p24 @t82) % 0.46/0.63 (assume @p25 true) % 0.46/0.63 (step @p26 :rule aci_norm :args ((= (or (or @t84 @t83) @t62) @t85))) % 0.46/0.63 (step @p27 :rule refl :args (@t62)) % 0.46/0.63 (step @p28 :rule bool-and-de-morgan :args (@t13 @t65 true)) % 0.46/0.63 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t66) @t62))) % 0.46/0.63 (step @p30 :rule trans :premises (@p29 @p26)) % 0.46/0.63 (step @p31 :rule bool-impl-elim :args (@t66 @t62)) % 0.46/0.63 (step @p32 :rule trans 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@p251) :args ((or @t96 (not (and @t79 @t213))))) % 0.46/0.63 (step @p253 :rule bool-and-de-morgan :args (@t12 @t79 (and @t213))) % 0.46/0.63 (step @p254 :rule trans :premises (@p253 @p252)) % 0.46/0.63 (step @p255 :rule trans :premises (@p254 @p250)) % 0.46/0.63 (step @p256 :rule trans :premises (@p255 @p246)) % 0.46/0.63 (step @p257 :rule cong :premises (@p256) :args (@t217)) % 0.46/0.63 (step @p258 :rule trans :premises (@p257 @p245)) % 0.46/0.63 (step @p259 :rule cong :premises (@p258) :args (@t218)) % 0.46/0.63 (step @p260 :rule exists-elim :args ((= (exists @t57 @t216) @t218))) % 0.46/0.63 (step @p261 :rule trans :premises (@p260 @p259)) % 0.46/0.63 (step @p262 :rule quant-miniscope-or :args ((= (forall @t34 @t219) @t212))) % 0.46/0.63 (step @p263 :rule aci_norm :args ((= @t220 @t219))) % 0.46/0.63 (step @p264 :rule cong :premises (@p263) :args ((forall @t34 @t220))) % 0.46/0.63 (step @p265 :rule trans :premises (@p264 @p262)) % 0.46/0.63 (step @p266 :rule aci_norm :args ((= (or @t208 (or @t207 @t62)) @t220))) % 0.46/0.63 (step @p267 :rule bool-and-de-morgan :args (@t75 @t43 true)) % 0.46/0.63 (step @p268 :rule refl :args (@t208)) % 0.46/0.63 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or @t208 (not (and @t75 @t43))))) % 0.46/0.63 (step @p270 :rule bool-and-de-morgan :args (@t76 @t75 (and @t43))) % 0.46/0.63 (step @p271 :rule trans :premises (@p270 @p269)) % 0.46/0.63 (step @p272 :rule trans :premises (@p271 @p266)) % 0.46/0.63 (step @p273 :rule cong :premises (@p272) :args (@t221)) % 0.46/0.63 (step @p274 :rule trans :premises (@p273 @p265)) % 0.46/0.63 (step @p275 :rule cong :premises (@p274) :args (@t222)) % 0.46/0.63 (step @p276 :rule exists-elim :args ((= @t78 @t222))) % 0.46/0.63 (step @p277 :rule trans :premises (@p276 @p275)) % 0.46/0.63 (step @p278 :rule refl :args (@t79)) % 0.46/0.63 (step @p279 :rule nary_cong :premises (@p98 @p278 @p277) :args (@t80)) % 0.46/0.63 (step @p280 :rule cong :premises (@p279) :args (@t81)) % 0.46/0.63 (step @p281 :rule trans :premises (@p280 @p261)) % 0.46/0.63 (step @p282 :rule cong :premises (@p281) :args (@t82)) % 0.46/0.63 (step @p283 :rule trans :premises (@p282 @p233)) % 0.46/0.63 (step @p284 :rule eq_resolve :premises (@p24 @p283)) % 0.46/0.63 (step @p285 :rule instantiate :premises (@p284) :args ((@list @t136 @t140 @t134))) % 0.46/0.63 (step @p286 :rule bool-impl-elim :args (@t16 @t12)) % 0.46/0.63 (step @p287 :rule cong :premises (@p286) :args (@t17)) % 0.46/0.63 (step @p288 :rule eq_resolve :premises (@p7 @p287)) % 0.46/0.63 (step @p289 :rule instantiate :premises (@p288) :args ((@list @t136))) % 0.46/0.63 (step @p290 :rule exists-elim :args ((= @t6 @t223))) % 0.46/0.63 (step @p291 :rule eq_resolve :premises (@p2 @p290)) % 0.46/0.63 (step @p292 :rule refl :args (@t224)) % 0.46/0.63 (step @p293 :rule bool-double-not-elim :args (@t135)) % 0.46/0.63 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or (not @t223) @t224))) % 0.46/0.63 (step @p295 :rule bool-double-not-elim :args (@t224)) % 0.46/0.63 (step @p296 :rule refl :args (@t223)) % 0.46/0.63 (step @p297 :rule cong :premises (@p296 @p295) :args ((=> @t223 @t226))) % 0.46/0.63 (assume-push @p394 @t223) % 0.46/0.63 (step @p299 :rule skolemize :premises (@p291)) % 0.46/0.63 (step-pop @p395 :rule scope :premises (@p299)) % 0.46/0.63 (step @p300 :rule process_scope :premises (@p395) :args (@t226)) % 0.46/0.63 (step @p302 :rule eq_resolve :premises (@p300 @p297)) % 0.46/0.63 (step @p303 :rule implies_elim :premises (@p302)) % 0.46/0.63 (step @p304 :rule eq_resolve :premises (@p303 @p294)) % 0.46/0.63 (step @p305 :rule chain_m_resolution :premises (@p304 @p291) :args (@t224 @t152 (@list @t135))) % 0.46/0.63 (step @p306 :rule cnf_or_pos :args (@t228)) % 0.46/0.63 (step @p307 :rule reordering :premises (@p306) :args ((or @t225 @t227 (not @t228)))) % 0.46/0.63 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p289) :args (@t227 @t171 (@list @t224 @t228))) % 0.46/0.63 (step @p309 :rule cnf_or_pos :args (@t233)) % 0.46/0.63 (step @p310 :rule reordering :premises (@p309) :args ((or @t180 @t232 @t192 @t229 @t231 (not @t233)))) % 0.46/0.63 (step @p311 :rule chain_m_resolution :premises (@p310 @p212 @p308 @p229 @p232 @p285) :args (@t231 (@list false false false false false) (@list @t179 @t227 @t186 @t190 @t233))) % 0.46/0.63 (step @p312 :rule aci_norm :args ((= (or (or @t161 @t234) @t50) (or @t161 @t234 @t50)))) % 0.46/0.63 (step @p313 :rule bool-and-de-morgan :args (@t18 @t55 true)) % 0.46/0.63 (step @p314 :rule nary_cong :premises (@p313 @p107) :args ((or (not @t56) @t50))) % 0.46/0.63 (step @p315 :rule trans :premises (@p314 @p312)) % 0.46/0.63 (step @p316 :rule bool-impl-elim :args (@t56 @t50)) % 0.46/0.63 (step @p317 :rule trans :premises (@p316 @p315)) % 0.46/0.63 (step @p318 :rule cong :premises (@p317) :args (@t58)) % 0.46/0.63 (step @p319 :rule eq_resolve :premises (@p16 @p318)) % 0.46/0.63 (step @p320 :rule instantiate :premises (@p319) :args ((@list @t140 @t136))) % 0.46/0.63 (step @p321 :rule cnf_or_pos :args (@t236)) % 0.46/0.63 (step @p322 :rule reordering :premises (@p321) :args ((or @t225 @t155 @t235 (not @t236)))) % 0.46/0.63 (step @p323 :rule chain_m_resolution :premises (@p322 @p305 @p147 @p320) :args (@t235 @t159 (@list @t224 @t154 @t236))) % 0.46/0.63 (step @p324 :rule cnf_or_pos :args (@t239)) % 0.46/0.63 (step @p325 :rule factoring :premises (@p324)) % 0.46/0.63 (step @p326 :rule reordering :premises (@p325) :args ((or @t232 @t192 @t191 @t238 @t237 @t230 @t229 (not @t239)))) % 0.46/0.63 (step @p327 :rule chain_m_resolution :premises (@p326 @p308 @p229 @p215 @p323 @p311 @p232 @p104) :args (@t238 @t240 (@list @t227 @t186 @t182 @t235 @t230 @t190 @t239))) % 0.46/0.63 (step @p328 :rule aci_norm :args ((= (or (or @t84 @t234) @t62) (or @t84 @t234 @t62)))) % 0.46/0.63 (step @p329 :rule bool-and-de-morgan :args (@t13 @t55 true)) % 0.46/0.63 (step @p330 :rule nary_cong :premises (@p329 @p27) :args ((or (not @t63) @t62))) % 0.46/0.63 (step @p331 :rule trans :premises (@p330 @p328)) % 0.46/0.63 (step @p332 :rule bool-impl-elim :args (@t63 @t62)) % 0.46/0.63 (step @p333 :rule trans :premises (@p332 @p331)) % 0.46/0.63 (step @p334 :rule cong :premises (@p333) :args (@t64)) % 0.46/0.63 (step @p335 :rule eq_resolve :premises (@p18 @p334)) % 0.46/0.63 (step @p336 :rule instantiate :premises (@p335) :args ((@list @t138 @t136))) % 0.46/0.63 (step @p337 :rule exists-elim :args ((= @t4 @t241))) % 0.46/0.63 (step @p338 :rule eq_resolve :premises (@p1 @p337)) % 0.46/0.63 (step @p339 :rule refl :args (@t242)) % 0.46/0.63 (step @p340 :rule bool-double-not-elim :args (@t137)) % 0.46/0.63 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or (not @t241) @t242))) % 0.46/0.63 (step @p342 :rule bool-double-not-elim :args (@t242)) % 0.46/0.63 (step @p343 :rule refl :args (@t241)) % 0.46/0.63 (step @p344 :rule cong :premises (@p343 @p342) :args ((=> @t241 @t244))) % 0.46/0.63 (assume-push @p396 @t241) % 0.46/0.63 (step @p346 :rule skolemize :premises (@p338)) % 0.46/0.63 (step-pop @p397 :rule scope :premises (@p346)) % 0.46/0.63 (step @p347 :rule process_scope :premises (@p397) :args (@t244)) % 0.46/0.63 (step @p349 :rule eq_resolve :premises (@p347 @p344)) % 0.46/0.63 (step @p350 :rule implies_elim :premises (@p349)) % 0.46/0.63 (step @p351 :rule eq_resolve :premises (@p350 @p341)) % 0.46/0.63 (step @p352 :rule chain_m_resolution :premises (@p351 @p338) :args (@t242 @t152 (@list @t137))) % 0.46/0.63 (step @p353 :rule cnf_or_pos :args (@t247)) % 0.46/0.63 (step @p354 :rule reordering :premises (@p353) :args ((or @t243 @t225 @t246 (not @t247)))) % 0.46/0.63 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p305 @p336) :args (@t246 @t159 (@list @t242 @t224 @t247))) % 0.46/0.63 (step @p356 :rule aci_norm :args ((= (or (or @t249 @t248) @t50) (or @t249 @t248 @t50)))) % 0.46/0.63 (step @p357 :rule bool-and-de-morgan :args (@t16 @t59 true)) % 0.46/0.63 (step @p358 :rule nary_cong :premises (@p357 @p107) :args ((or (not @t60) @t50))) % 0.46/0.63 (step @p359 :rule trans :premises (@p358 @p356)) % 0.46/0.63 (step @p360 :rule bool-impl-elim :args (@t60 @t50)) % 0.46/0.63 (step @p361 :rule trans :premises (@p360 @p359)) % 0.46/0.63 (step @p362 :rule cong :premises (@p361) :args (@t61)) % 0.46/0.63 (step @p363 :rule eq_resolve :premises (@p17 @p362)) % 0.46/0.63 (step @p364 :rule instantiate :premises (@p363) :args ((@list @t136 @t138))) % 0.46/0.63 (step @p365 :rule cnf_or_pos :args (@t251)) % 0.46/0.63 (step @p366 :rule reordering :premises (@p365) :args ((or @t243 @t225 @t250 (not @t251)))) % 0.46/0.63 (step @p367 :rule chain_m_resolution :premises (@p366 @p352 @p305 @p364) :args (@t250 @t159 (@list @t242 @t224 @t251))) % 0.46/0.63 (step @p368 :rule bool-impl-elim :args (@t13 @t12)) % 0.46/0.63 (step @p369 :rule cong :premises (@p368) :args (@t15)) % 0.46/0.63 (step @p370 :rule eq_resolve :premises (@p6 @p369)) % 0.46/0.63 (step @p371 :rule instantiate :premises (@p370) :args ((@list @t138))) % 0.46/0.63 (step @p372 :rule cnf_or_pos :args (@t253)) % 0.46/0.63 (step @p373 :rule reordering :premises (@p372) :args ((or @t243 @t252 (not @t253)))) % 0.46/0.63 (step @p374 :rule chain_m_resolution :premises (@p373 @p352 @p371) :args (@t252 @t171 (@list @t242 @t253))) % 0.46/0.63 (step @p375 :rule cnf_or_pos :args (@t258)) % 0.46/0.63 (step @p376 :rule factoring :premises (@p375)) % 0.46/0.63 (step @p377 :rule reordering :premises (@p376) :args ((or @t257 @t232 @t191 @t256 @t255 @t245 @t254 (not @t258)))) % 0.46/0.63 (step @p378 :rule chain_m_resolution :premises (@p377 @p374 @p308 @p215 @p367 @p355 @p327 @p103) :args (@t256 @t240 (@list @t252 @t227 @t182 @t250 @t245 @t238 @t258))) % 0.46/0.63 (step @p379 :rule cnf_or_pos :args (@t260)) % 0.46/0.63 (step @p380 :rule reordering :premises (@p379) :args ((or @t243 @t180 @t259 @t261))) % 0.46/0.63 (step @p381 :rule chain_m_resolution :premises (@p380 @p352 @p212 @p378) :args (@t261 @t159 (@list @t242 @t179 @t256))) % 0.46/0.63 (assume-push @p398 @t262) % 0.46/0.63 (step @p383 :rule instantiate :premises (@p34) :args ((@list @t138 @t134))) % 0.46/0.63 (step-pop @p399 :rule scope :premises (@p383)) % 0.46/0.63 (step @p384 :rule process_scope :premises (@p399) :args (@t260)) % 0.46/0.63 (step @p386 :rule implies_elim :premises (@p384)) % 0.46/0.63 (step @p387 false :rule chain_m_resolution :premises (@p386 @p381 @p34) :args (false (@list true false) (@list @t260 @t262))) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.63 % cvc5 exiting %------------------------------------------------------------------------------