%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ031+3 : 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 : n022.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 08:44:01 AM UTC 2026 % Result : Theorem 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ031+3 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 13:12:53 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Theorem % 0.46/0.64 % SZS output start Proof % 0.46/0.64 ( % 0.46/0.64 (declare-sort $$unsorted 0) % 0.46/0.64 (declare-const tptp.much_smaller (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.grain (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.plant (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.snail (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.caterpillar (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.eats (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.bird (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.fox (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.wolf (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.animal (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.edible (-> $$unsorted Bool)) % 0.46/0.64 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.64 (define @t2 () (tptp.edible @t1)) % 0.46/0.64 (define @t3 () (@list @t1)) % 0.46/0.64 (define @t4 () (tptp.animal @t1)) % 0.46/0.64 (define @t5 () (tptp.wolf @t1)) % 0.46/0.64 (define @t6 () (exists @t3 @t5)) % 0.46/0.64 (define @t7 () (forall @t3 (=> @t5 @t4))) % 0.46/0.64 (define @t8 () (tptp.fox @t1)) % 0.46/0.64 (define @t9 () (exists @t3 @t8)) % 0.46/0.64 (define @t10 () (forall @t3 (=> @t8 @t4))) % 0.46/0.64 (define @t11 () (tptp.bird @t1)) % 0.46/0.64 (define @t12 () (exists @t3 @t11)) % 0.46/0.64 (define @t13 () (forall @t3 (=> @t11 @t4))) % 0.46/0.64 (define @t14 () (tptp.caterpillar @t1)) % 0.46/0.64 (define @t15 () (tptp.snail @t1)) % 0.46/0.64 (define @t16 () (exists @t3 @t15)) % 0.46/0.64 (define @t17 () (forall @t3 (=> @t15 @t4))) % 0.46/0.64 (define @t18 () (tptp.plant @t1)) % 0.46/0.64 (define @t19 () (tptp.grain @t1)) % 0.46/0.64 (define @t20 () (exists @t3 @t19)) % 0.46/0.64 (define @t21 () (forall @t3 (=> @t19 @t18))) % 0.46/0.64 (define @t22 () (@var "Y1" $$unsorted)) % 0.46/0.64 (define @t23 () (@var "X" $$unsorted)) % 0.46/0.64 (define @t24 () (tptp.eats @t23 @t22)) % 0.46/0.64 (define @t25 () (@var "Z" $$unsorted)) % 0.46/0.64 (define @t26 () (tptp.eats @t22 @t25)) % 0.46/0.64 (define @t27 () (tptp.plant @t25)) % 0.46/0.64 (define @t28 () (and @t27 @t26)) % 0.46/0.64 (define @t29 () (@list @t25)) % 0.46/0.64 (define @t30 () (exists @t29 @t28)) % 0.46/0.64 (define @t31 () (tptp.much_smaller @t22 @t23)) % 0.46/0.64 (define @t32 () (and @t31 @t30)) % 0.46/0.64 (define @t33 () (=> @t32 @t24)) % 0.46/0.64 (define @t34 () (tptp.animal @t22)) % 0.46/0.64 (define @t35 () (=> @t34 @t33)) % 0.46/0.64 (define @t36 () (@list @t22)) % 0.46/0.64 (define @t37 () (forall @t36 @t35)) % 0.46/0.64 (define @t38 () (@var "Y" $$unsorted)) % 0.46/0.64 (define @t39 () (tptp.eats @t23 @t38)) % 0.46/0.64 (define @t40 () (tptp.plant @t38)) % 0.46/0.64 (define @t41 () (@list @t38)) % 0.46/0.64 (define @t42 () (forall @t41 (=> @t40 @t39))) % 0.46/0.64 (define @t43 () (or @t42 @t37)) % 0.46/0.64 (define @t44 () (tptp.animal @t23)) % 0.46/0.64 (define @t45 () (=> @t44 @t43)) % 0.46/0.64 (define @t46 () (@list @t23)) % 0.46/0.64 (define @t47 () (forall @t46 @t45)) % 0.46/0.64 (define @t48 () (tptp.much_smaller @t23 @t38)) % 0.46/0.64 (define @t49 () (tptp.snail @t23)) % 0.46/0.64 (define @t50 () (tptp.bird @t38)) % 0.46/0.64 (define @t51 () (and @t50 @t49)) % 0.46/0.64 (define @t52 () (@list @t38 @t23)) % 0.46/0.64 (define @t53 () (forall @t52 (=> @t51 @t48))) % 0.46/0.64 (define @t54 () (tptp.caterpillar @t23)) % 0.46/0.64 (define @t55 () (tptp.fox @t38)) % 0.46/0.64 (define @t56 () (tptp.bird @t23)) % 0.46/0.64 (define @t57 () (and @t56 @t55)) % 0.46/0.64 (define @t58 () (@list @t23 @t38)) % 0.46/0.64 (define @t59 () (forall @t58 (=> @t57 @t48))) % 0.46/0.64 (define @t60 () (tptp.wolf @t38)) % 0.46/0.64 (define @t61 () (tptp.fox @t23)) % 0.46/0.64 (define @t62 () (and @t61 @t60)) % 0.46/0.64 (define @t63 () (forall @t58 (=> @t62 @t48))) % 0.46/0.64 (define @t64 () (not @t39)) % 0.46/0.64 (define @t65 () (tptp.wolf @t23)) % 0.46/0.64 (define @t66 () (and @t65 @t55)) % 0.46/0.64 (define @t67 () (forall @t58 (=> @t66 @t64))) % 0.46/0.64 (define @t68 () (tptp.grain @t38)) % 0.46/0.64 (define @t69 () (and @t65 @t68)) % 0.46/0.64 (define @t70 () (forall @t58 (=> @t69 @t64))) % 0.46/0.64 (define @t71 () (tptp.snail @t38)) % 0.46/0.64 (define @t72 () (and @t56 @t71)) % 0.46/0.64 (define @t73 () (forall @t58 (=> @t72 @t64))) % 0.46/0.64 (define @t74 () (and @t40 @t39)) % 0.46/0.64 (define @t75 () (exists @t41 @t74)) % 0.46/0.64 (define @t76 () (=> @t49 @t75)) % 0.46/0.64 (define @t77 () (forall @t46 @t76)) % 0.46/0.64 (define @t78 () (tptp.eats @t38 @t25)) % 0.46/0.64 (define @t79 () (tptp.grain @t25)) % 0.46/0.64 (define @t80 () (tptp.animal @t38)) % 0.46/0.64 (define @t81 () (and @t44 @t80 @t79 @t78 @t39)) % 0.46/0.64 (define @t82 () (@list @t23 @t38 @t25)) % 0.46/0.64 (define @t83 () (exists @t82 @t81)) % 0.46/0.64 (define @t84 () (not @t83)) % 0.46/0.64 (define @t85 () (not @t68)) % 0.46/0.64 (define @t86 () (not @t65)) % 0.46/0.64 (define @t87 () (or @t86 @t85 @t64)) % 0.46/0.64 (define @t88 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 0.46/0.64 (define @t89 () (@var "BOUND_VARIABLE_7641" $$unsorted)) % 0.46/0.64 (define @t90 () (not (tptp.eats @t89 @t88))) % 0.46/0.64 (define @t91 () (not (tptp.plant @t88))) % 0.46/0.64 (define @t92 () (tptp.eats @t23 @t89)) % 0.46/0.64 (define @t93 () (not (tptp.much_smaller @t89 @t23))) % 0.46/0.64 (define @t94 () (not (tptp.animal @t89))) % 0.46/0.64 (define @t95 () (@var "BOUND_VARIABLE_7635" $$unsorted)) % 0.46/0.64 (define @t96 () (tptp.eats @t23 @t95)) % 0.46/0.64 (define @t97 () (not (tptp.plant @t95))) % 0.46/0.64 (define @t98 () (not @t44)) % 0.46/0.64 (define @t99 () (or @t94 @t93 @t92 @t91 @t90)) % 0.46/0.64 (define @t100 () (or @t97 @t96)) % 0.46/0.64 (define @t101 () (or @t98 @t100 @t99)) % 0.46/0.64 (define @t102 () (forall (@list @t23 @t95 @t89 @t88) @t101)) % 0.46/0.64 (define @t103 () (forall (@list @t95 @t89 @t88) @t101)) % 0.46/0.64 (define @t104 () (forall (@list @t89 @t88) @t99)) % 0.46/0.64 (define @t105 () (@var "BOUND_VARIABLE_7617" $$unsorted)) % 0.46/0.64 (define @t106 () (forall (@list @t95) @t100)) % 0.46/0.64 (define @t107 () (or @t98 @t106 @t104)) % 0.46/0.64 (define @t108 () (not (tptp.eats @t22 @t105))) % 0.46/0.64 (define @t109 () (not (tptp.plant @t105))) % 0.46/0.64 (define @t110 () (not @t31)) % 0.46/0.64 (define @t111 () (not @t34)) % 0.46/0.64 (define @t112 () (or @t111 @t110 @t24 @t109 @t108)) % 0.46/0.64 (define @t113 () (@list @t22 @t105)) % 0.46/0.64 (define @t114 () (forall @t113 @t112)) % 0.46/0.64 (define @t115 () (not @t40)) % 0.46/0.64 (define @t116 () (forall @t41 (or @t115 @t39))) % 0.46/0.64 (define @t117 () (or @t98 @t116 @t114)) % 0.46/0.64 (define @t118 () (or @t116 @t114)) % 0.46/0.64 (define @t119 () (or @t109 @t108)) % 0.46/0.64 (define @t120 () (or @t111 @t110 @t119 @t24)) % 0.46/0.64 (define @t121 () (forall @t113 @t120)) % 0.46/0.64 (define @t122 () (@list @t105)) % 0.46/0.64 (define @t123 () (forall @t122 @t120)) % 0.46/0.64 (define @t124 () (forall @t122 @t119)) % 0.46/0.64 (define @t125 () (or @t111 @t110 @t124 @t24)) % 0.46/0.64 (define @t126 () (forall @t29 (or (not @t27) (not @t26)))) % 0.46/0.64 (define @t127 () (or @t111 @t110 @t126 @t24)) % 0.46/0.64 (define @t128 () (or @t110 @t126 @t24)) % 0.46/0.64 (define @t129 () (not @t126)) % 0.46/0.64 (define @t130 () (and @t31 @t129)) % 0.46/0.64 (define @t131 () (=> @t130 @t24)) % 0.46/0.64 (define @t132 () (forall @t29 (not @t28))) % 0.46/0.64 (define @t133 () (not @t132)) % 0.46/0.64 (define @t134 () (forall @t3 (not @t19))) % 0.46/0.64 (define @t135 () (@quantifiers_skolemize @t134 0)) % 0.46/0.64 (define @t136 () (forall @t3 (not @t8))) % 0.46/0.64 (define @t137 () (@quantifiers_skolemize @t136 0)) % 0.46/0.64 (define @t138 () (forall @t3 (not @t5))) % 0.46/0.64 (define @t139 () (@quantifiers_skolemize @t138 0)) % 0.46/0.64 (define @t140 () (not @t60)) % 0.46/0.64 (define @t141 () (not @t61)) % 0.46/0.64 (define @t142 () (not @t136)) % 0.46/0.64 (define @t143 () (tptp.fox @t137)) % 0.46/0.64 (define @t144 () (not @t143)) % 0.46/0.64 (define @t145 () (not @t144)) % 0.46/0.64 (define @t146 () (@list true)) % 0.46/0.64 (define @t147 () (not @t138)) % 0.46/0.64 (define @t148 () (tptp.wolf @t139)) % 0.46/0.64 (define @t149 () (not @t148)) % 0.46/0.64 (define @t150 () (not @t149)) % 0.46/0.64 (define @t151 () (tptp.much_smaller @t137 @t139)) % 0.46/0.64 (define @t152 () (or @t144 @t149 @t151)) % 0.46/0.64 (define @t153 () (@list false false false)) % 0.46/0.64 (define @t154 () (not @t55)) % 0.46/0.64 (define @t155 () (tptp.eats @t139 @t137)) % 0.46/0.64 (define @t156 () (not @t155)) % 0.46/0.64 (define @t157 () (or @t149 @t144 @t156)) % 0.46/0.64 (define @t158 () (forall @t3 (not @t15))) % 0.46/0.64 (define @t159 () (@quantifiers_skolemize @t158 0)) % 0.46/0.64 (define @t160 () (forall @t41 (or @t115 (not (tptp.eats @t159 @t38))))) % 0.46/0.64 (define @t161 () (@quantifiers_skolemize @t160 0)) % 0.46/0.64 (define @t162 () (forall @t3 (not @t11))) % 0.46/0.64 (define @t163 () (@quantifiers_skolemize @t162 0)) % 0.46/0.64 (define @t164 () (not @t78)) % 0.46/0.64 (define @t165 () (not @t79)) % 0.46/0.64 (define @t166 () (not @t80)) % 0.46/0.64 (define @t167 () (or @t98 @t166 @t165 @t164 @t64)) % 0.46/0.64 (define @t168 () (forall @t82 (not @t81))) % 0.46/0.64 (define @t169 () (not @t168)) % 0.46/0.64 (define @t170 () (not @t49)) % 0.46/0.64 (define @t171 () (not @t50)) % 0.46/0.64 (define @t172 () (@list @t163 @t159)) % 0.46/0.64 (define @t173 () (not @t158)) % 0.46/0.64 (define @t174 () (tptp.snail @t159)) % 0.46/0.64 (define @t175 () (not @t174)) % 0.46/0.64 (define @t176 () (not @t175)) % 0.46/0.64 (define @t177 () (not @t162)) % 0.46/0.64 (define @t178 () (tptp.bird @t163)) % 0.46/0.64 (define @t179 () (not @t178)) % 0.46/0.64 (define @t180 () (not @t179)) % 0.46/0.64 (define @t181 () (tptp.much_smaller @t159 @t163)) % 0.46/0.64 (define @t182 () (or @t179 @t175 @t181)) % 0.46/0.64 (define @t183 () (not @t71)) % 0.46/0.64 (define @t184 () (not @t56)) % 0.46/0.64 (define @t185 () (tptp.eats @t163 @t159)) % 0.46/0.64 (define @t186 () (not @t185)) % 0.46/0.64 (define @t187 () (or @t179 @t175 @t186)) % 0.46/0.64 (define @t188 () (not (forall @t41 (or @t115 @t64)))) % 0.46/0.64 (define @t189 () (forall @t41 (not @t74))) % 0.46/0.64 (define @t190 () (not @t189)) % 0.46/0.64 (define @t191 () (@list @t159)) % 0.46/0.64 (define @t192 () (not @t160)) % 0.46/0.64 (define @t193 () (or @t175 @t192)) % 0.46/0.64 (define @t194 () (@list false false)) % 0.46/0.64 (define @t195 () (tptp.eats @t159 @t161)) % 0.46/0.64 (define @t196 () (not @t195)) % 0.46/0.64 (define @t197 () (tptp.plant @t161)) % 0.46/0.64 (define @t198 () (not @t197)) % 0.46/0.64 (define @t199 () (or @t198 @t196)) % 0.46/0.64 (define @t200 () (@list @t199)) % 0.46/0.64 (define @t201 () (not @t134)) % 0.46/0.64 (define @t202 () (tptp.grain @t135)) % 0.46/0.64 (define @t203 () (not @t202)) % 0.46/0.64 (define @t204 () (not @t203)) % 0.46/0.64 (define @t205 () (tptp.plant @t135)) % 0.46/0.64 (define @t206 () (or @t203 @t205)) % 0.46/0.64 (define @t207 () (tptp.animal @t159)) % 0.46/0.64 (define @t208 () (or @t175 @t207)) % 0.46/0.64 (define @t209 () (tptp.animal @t163)) % 0.46/0.64 (define @t210 () (or @t179 @t209)) % 0.46/0.64 (define @t211 () (not @t181)) % 0.46/0.64 (define @t212 () (not @t207)) % 0.46/0.64 (define @t213 () (tptp.eats @t163 @t135)) % 0.46/0.64 (define @t214 () (not @t205)) % 0.46/0.64 (define @t215 () (not @t209)) % 0.46/0.64 (define @t216 () (or @t215 @t214 @t213 @t212 @t211 @t185 @t198 @t196)) % 0.46/0.64 (define @t217 () (tptp.animal @t137)) % 0.46/0.64 (define @t218 () (or @t144 @t217)) % 0.46/0.64 (define @t219 () (tptp.eats @t137 @t163)) % 0.46/0.64 (define @t220 () (not @t219)) % 0.46/0.64 (define @t221 () (not @t213)) % 0.46/0.64 (define @t222 () (not @t217)) % 0.46/0.64 (define @t223 () (or @t222 @t215 @t203 @t221 @t220)) % 0.46/0.64 (define @t224 () (tptp.much_smaller @t163 @t137)) % 0.46/0.64 (define @t225 () (or @t179 @t144 @t224)) % 0.46/0.64 (define @t226 () (tptp.eats @t163 @t161)) % 0.46/0.64 (define @t227 () (or @t215 @t198 @t226 @t212 @t211 @t185 @t198 @t196)) % 0.46/0.64 (define @t228 () (@list false false false false true false false)) % 0.46/0.64 (define @t229 () (not @t226)) % 0.46/0.64 (define @t230 () (not @t224)) % 0.46/0.64 (define @t231 () (tptp.eats @t137 @t135)) % 0.46/0.64 (define @t232 () (or @t222 @t214 @t231 @t215 @t230 @t219 @t198 @t229)) % 0.46/0.64 (define @t233 () (tptp.animal @t139)) % 0.46/0.64 (define @t234 () (or @t149 @t233)) % 0.46/0.64 (define @t235 () (not @t231)) % 0.46/0.64 (define @t236 () (not @t151)) % 0.46/0.64 (define @t237 () (tptp.eats @t139 @t135)) % 0.46/0.64 (define @t238 () (not @t233)) % 0.46/0.64 (define @t239 () (or @t238 @t214 @t237 @t222 @t236 @t155 @t214 @t235)) % 0.46/0.64 (define @t240 () (not @t237)) % 0.46/0.64 (define @t241 () (or @t149 @t203 @t240)) % 0.46/0.64 (define @t242 () (not @t241)) % 0.46/0.64 (define @t243 () (forall @t58 @t87)) % 0.46/0.64 (assume @p1 (exists @t3 @t2)) % 0.46/0.64 (assume @p2 (exists @t3 @t4)) % 0.46/0.64 (assume @p3 (forall @t3 (=> @t4 @t2))) % 0.46/0.64 (assume @p4 @t6) % 0.46/0.64 (assume @p5 @t7) % 0.46/0.64 (assume @p6 @t9) % 0.46/0.64 (assume @p7 @t10) % 0.46/0.64 (assume @p8 @t12) % 0.46/0.64 (assume @p9 @t13) % 0.46/0.64 (assume @p10 (exists @t3 @t14)) % 0.46/0.64 (assume @p11 (forall @t3 (=> @t14 @t4))) % 0.46/0.64 (assume @p12 @t16) % 0.46/0.64 (assume @p13 @t17) % 0.46/0.64 (assume @p14 (exists @t3 @t18)) % 0.46/0.64 (assume @p15 (forall @t3 (=> @t18 @t2))) % 0.46/0.64 (assume @p16 @t20) % 0.46/0.64 (assume @p17 @t21) % 0.46/0.64 (assume @p18 @t47) % 0.46/0.64 (assume @p19 @t53) % 0.46/0.64 (assume @p20 (forall @t52 (=> (and @t50 @t54) @t48))) % 0.46/0.64 (assume @p21 @t59) % 0.46/0.64 (assume @p22 @t63) % 0.46/0.64 (assume @p23 @t67) % 0.46/0.64 (assume @p24 @t70) % 0.46/0.64 (assume @p25 (forall @t58 (=> (and @t56 (tptp.caterpillar @t38)) @t39))) % 0.46/0.64 (assume @p26 @t73) % 0.46/0.64 (assume @p27 (forall @t46 (=> @t54 @t75))) % 0.46/0.64 (assume @p28 @t77) % 0.46/0.64 (assume @p29 @t84) % 0.46/0.64 (assume @p30 true) % 0.46/0.64 (step @p31 :rule aci_norm :args ((= (or (or @t86 @t85) @t64) @t87))) % 0.46/0.64 (step @p32 :rule refl :args (@t64)) % 0.46/0.64 (step @p33 :rule bool-and-de-morgan :args (@t65 @t68 true)) % 0.46/0.64 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t69) @t64))) % 0.46/0.64 (step @p35 :rule trans :premises (@p34 @p31)) % 0.46/0.64 (step @p36 :rule bool-impl-elim :args (@t69 @t64)) % 0.46/0.64 (step @p37 :rule trans :premises (@p36 @p35)) % 0.46/0.64 (step @p38 :rule cong :premises (@p37) :args (@t70)) % 0.46/0.64 (step @p39 :rule eq_resolve :premises (@p24 @p38)) % 0.46/0.64 (step @p40 :rule aci_norm :args ((= @t101 (or @t98 @t97 @t96 @t94 @t93 @t92 @t91 @t90)))) % 0.46/0.64 (step @p41 :rule cong :premises (@p40) :args (@t102)) % 0.46/0.64 (step @p42 :rule quant-merge-prenex :args ((= (forall @t46 @t103) @t102))) % 0.46/0.64 (step @p43 :rule alpha_equiv :args (@t104 (@list @t89 @t88) (@list @t22 @t105))) % 0.46/0.64 (step @p44 :rule alpha_equiv :args (@t106 (@list @t95) (@list @t38))) % 0.46/0.64 (step @p45 :rule refl :args (@t98)) % 0.46/0.64 (step @p46 :rule nary_cong :premises (@p45 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:premises (@p269) :args ((or @t195 @t199))) % 0.46/0.64 (step @p271 :rule chain_m_resolution :premises (@p270 @p264) :args (@t195 @t146 @t200)) % 0.46/0.64 (step @p272 :rule bool-double-not-elim :args (@t197)) % 0.46/0.64 (step @p273 :rule nary_cong :premises (@p266 @p272) :args ((or @t199 (not @t198)))) % 0.46/0.64 (step @p274 :rule cnf_or_neg :args (@t199 0)) % 0.46/0.64 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 0.46/0.64 (step @p276 :rule reordering :premises (@p275) :args ((or @t197 @t199))) % 0.46/0.64 (step @p277 :rule chain_m_resolution :premises (@p276 @p264) :args (@t197 @t146 @t200)) % 0.46/0.64 (step @p278 :rule bool-impl-elim :args (@t19 @t18)) % 0.46/0.64 (step @p279 :rule cong :premises (@p278) :args (@t21)) % 0.46/0.64 (step @p280 :rule eq_resolve :premises (@p17 @p279)) % 0.46/0.64 (step @p281 :rule instantiate :premises (@p280) :args ((@list @t135))) % 0.46/0.64 (step @p282 :rule exists-elim :args ((= @t20 @t201))) % 0.46/0.64 (step @p283 :rule eq_resolve :premises (@p16 @p282)) % 0.46/0.64 (step @p284 :rule refl :args (@t202)) % 0.46/0.64 (step @p285 :rule bool-double-not-elim :args (@t134)) % 0.46/0.64 (step @p286 :rule nary_cong :premises (@p285 @p284) :args ((or (not @t201) @t202))) % 0.46/0.64 (step @p287 :rule bool-double-not-elim :args (@t202)) % 0.46/0.64 (step @p288 :rule refl :args (@t201)) % 0.46/0.64 (step @p289 :rule cong :premises (@p288 @p287) :args ((=> @t201 @t204))) % 0.46/0.64 (assume-push @p376 @t201) % 0.46/0.64 (step @p291 :rule skolemize :premises (@p283)) % 0.46/0.64 (step-pop @p377 :rule scope :premises (@p291)) % 0.46/0.64 (step @p292 :rule process_scope :premises (@p377) :args (@t204)) % 0.46/0.64 (step @p294 :rule eq_resolve :premises (@p292 @p289)) % 0.46/0.64 (step @p295 :rule implies_elim :premises (@p294)) % 0.46/0.64 (step @p296 :rule eq_resolve :premises (@p295 @p286)) % 0.46/0.64 (step @p297 :rule chain_m_resolution :premises (@p296 @p283) :args (@t202 @t146 (@list @t134))) % 0.46/0.64 (step @p298 :rule cnf_or_pos :args (@t206)) % 0.46/0.64 (step @p299 :rule reordering :premises (@p298) :args ((or @t203 @t205 (not @t206)))) % 0.46/0.64 (step @p300 :rule chain_m_resolution :premises (@p299 @p297 @p281) :args (@t205 @t194 (@list @t202 @t206))) % 0.46/0.64 (step @p301 :rule bool-impl-elim :args (@t15 @t4)) % 0.46/0.64 (step @p302 :rule cong :premises (@p301) :args (@t17)) % 0.46/0.64 (step @p303 :rule eq_resolve :premises (@p13 @p302)) % 0.46/0.64 (step @p304 :rule instantiate :premises (@p303) :args (@t191)) % 0.46/0.64 (step @p305 :rule cnf_or_pos :args (@t208)) % 0.46/0.64 (step @p306 :rule reordering :premises (@p305) :args ((or @t175 @t207 (not @t208)))) % 0.46/0.64 (step @p307 :rule chain_m_resolution :premises (@p306 @p216 @p304) :args (@t207 @t194 (@list @t174 @t208))) % 0.46/0.64 (step @p308 :rule bool-impl-elim :args (@t11 @t4)) % 0.46/0.64 (step @p309 :rule cong :premises (@p308) :args (@t13)) % 0.46/0.64 (step @p310 :rule eq_resolve :premises (@p9 @p309)) % 0.46/0.64 (step @p311 :rule instantiate :premises (@p310) :args ((@list @t163))) % 0.46/0.64 (step @p312 :rule cnf_or_pos :args (@t210)) % 0.46/0.64 (step @p313 :rule reordering :premises (@p312) :args ((or @t179 @t209 (not @t210)))) % 0.46/0.64 (step @p314 :rule chain_m_resolution :premises (@p313 @p232 @p311) :args (@t209 @t194 (@list @t178 @t210))) % 0.46/0.64 (step @p315 :rule cnf_or_pos :args (@t216)) % 0.46/0.64 (step @p316 :rule reordering :premises (@p315) :args ((or @t215 @t212 @t214 @t198 @t196 @t213 @t185 @t211 (not @t216)))) % 0.46/0.64 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p307 @p300 @p277 @p271 @p247 @p235 @p191) :args (@t213 (@list false false false false false true false false) (@list @t209 @t207 @t205 @t197 @t195 @t185 @t181 @t216))) % 0.46/0.64 (step @p318 :rule bool-impl-elim :args (@t8 @t4)) % 0.46/0.64 (step @p319 :rule cong :premises (@p318) :args (@t10)) % 0.46/0.64 (step @p320 :rule eq_resolve :premises (@p7 @p319)) % 0.46/0.64 (step @p321 :rule instantiate :premises (@p320) :args ((@list @t137))) % 0.46/0.64 (step @p322 :rule cnf_or_pos :args (@t218)) % 0.46/0.64 (step @p323 :rule reordering :premises (@p322) :args ((or @t144 @t217 (not @t218)))) % 0.46/0.64 (step @p324 :rule chain_m_resolution :premises (@p323 @p135 @p321) :args (@t217 @t194 (@list @t143 @t218))) % 0.46/0.64 (step @p325 :rule cnf_or_pos :args (@t223)) % 0.46/0.64 (step @p326 :rule reordering :premises (@p325) :args ((or @t203 @t222 @t215 @t221 @t220 (not @t223)))) % 0.46/0.64 (step @p327 :rule chain_m_resolution :premises (@p326 @p297 @p324 @p314 @p317 @p190) :args (@t220 (@list false false false false false) (@list @t202 @t217 @t209 @t213 @t223))) % 0.46/0.64 (step @p328 :rule aci_norm :args ((= (or (or @t184 @t154) @t48) (or @t184 @t154 @t48)))) % 0.46/0.64 (step @p329 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 0.46/0.64 (step @p330 :rule nary_cong :premises (@p329 @p111) :args ((or (not @t57) @t48))) % 0.46/0.64 (step @p331 :rule trans :premises (@p330 @p328)) % 0.46/0.64 (step @p332 :rule bool-impl-elim :args (@t57 @t48)) % 0.46/0.64 (step @p333 :rule trans :premises (@p332 @p331)) % 0.46/0.64 (step @p334 :rule cong :premises (@p333) :args (@t59)) % 0.46/0.64 (step @p335 :rule eq_resolve :premises (@p21 @p334)) % 0.46/0.64 (step @p336 :rule instantiate :premises (@p335) :args ((@list @t163 @t137))) % 0.46/0.64 (step @p337 :rule cnf_or_pos :args (@t225)) % 0.46/0.64 (step @p338 :rule reordering :premises (@p337) :args ((or @t144 @t179 @t224 (not @t225)))) % 0.46/0.64 (step @p339 :rule chain_m_resolution :premises (@p338 @p135 @p232 @p336) :args (@t224 @t153 (@list @t143 @t178 @t225))) % 0.46/0.64 (step @p340 :rule instantiate :premises (@p108) :args ((@list @t163 @t161 @t159 @t161))) % 0.46/0.64 (step @p341 :rule cnf_or_pos :args (@t227)) % 0.46/0.64 (step @p342 :rule factoring :premises (@p341)) % 0.46/0.64 (step @p343 :rule reordering :premises (@p342) :args ((or @t215 @t212 @t198 @t196 @t226 @t185 @t211 (not @t227)))) % 0.46/0.64 (step @p344 :rule chain_m_resolution :premises (@p343 @p314 @p307 @p277 @p271 @p247 @p235 @p340) :args (@t226 @t228 (@list @t209 @t207 @t197 @t195 @t185 @t181 @t227))) % 0.46/0.64 (step @p345 :rule cnf_or_pos :args (@t232)) % 0.46/0.64 (step @p346 :rule reordering :premises (@p345) :args ((or @t222 @t215 @t214 @t198 @t231 @t229 @t230 @t219 (not @t232)))) % 0.46/0.64 (step @p347 :rule chain_m_resolution :premises (@p346 @p324 @p314 @p300 @p277 @p344 @p339 @p327 @p167) :args (@t231 (@list false false false false false false true false) (@list @t217 @t209 @t205 @t197 @t226 @t224 @t219 @t232))) % 0.46/0.64 (step @p348 :rule bool-impl-elim :args (@t5 @t4)) % 0.46/0.64 (step @p349 :rule cong :premises (@p348) :args (@t7)) % 0.46/0.64 (step @p350 :rule eq_resolve :premises (@p5 @p349)) % 0.46/0.64 (step @p351 :rule instantiate :premises (@p350) :args ((@list @t139))) % 0.46/0.64 (step @p352 :rule cnf_or_pos :args (@t234)) % 0.46/0.64 (step @p353 :rule reordering :premises (@p352) :args ((or @t149 @t233 (not @t234)))) % 0.46/0.64 (step @p354 :rule chain_m_resolution :premises (@p353 @p151 @p351) :args (@t233 @t194 (@list @t148 @t234))) % 0.46/0.64 (step @p355 :rule cnf_or_pos :args (@t239)) % 0.46/0.64 (step @p356 :rule factoring :premises (@p355)) % 0.46/0.64 (step @p357 :rule reordering :premises (@p356) :args ((or @t238 @t222 @t214 @t237 @t235 @t155 @t236 (not @t239)))) % 0.46/0.64 (step @p358 :rule chain_m_resolution :premises (@p357 @p354 @p324 @p300 @p347 @p166 @p154 @p109) :args (@t237 @t228 (@list @t233 @t217 @t205 @t231 @t155 @t151 @t239))) % 0.46/0.64 (step @p359 :rule cnf_or_pos :args (@t241)) % 0.46/0.64 (step @p360 :rule reordering :premises (@p359) :args ((or @t149 @t203 @t240 @t242))) % 0.46/0.64 (step @p361 :rule chain_m_resolution :premises (@p360 @p151 @p297 @p358) :args (@t242 @t153 (@list @t148 @t202 @t237))) % 0.46/0.64 (assume-push @p378 @t243) % 0.46/0.64 (step @p363 :rule instantiate :premises (@p39) :args ((@list @t139 @t135))) % 0.46/0.64 (step-pop @p379 :rule scope :premises (@p363)) % 0.46/0.64 (step @p364 :rule process_scope :premises (@p379) :args (@t241)) % 0.46/0.64 (step @p366 :rule implies_elim :premises (@p364)) % 0.46/0.64 (step @p367 false :rule chain_m_resolution :premises (@p366 @p361 @p39) :args (false (@list true false) (@list @t241 @t243))) % 0.46/0.64 ) % 0.46/0.64 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------