%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL638+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 11:23:12 AM UTC 2026 % Result : Theorem 0.29s 0.57s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL638+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n005.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 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Fri Sep 4 19:38:21 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.57 % SZS status Theorem % 0.29/0.57 % SZS output start Proof % 0.29/0.57 ( % 0.29/0.57 (declare-sort $$unsorted 0) % 0.29/0.57 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.29/0.57 (declare-const tptp.p1 (-> $$unsorted Bool)) % 0.29/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.29/0.57 (define @t2 () (tptp.p1 @t1)) % 0.29/0.57 (define @t3 () (@var "Y" $$unsorted)) % 0.29/0.57 (define @t4 () (not (tptp.r1 @t3 @t1))) % 0.29/0.57 (define @t5 () (@list @t1)) % 0.29/0.57 (define @t6 () (forall @t5 (or @t4 @t2))) % 0.29/0.57 (define @t7 () (not @t6)) % 0.29/0.57 (define @t8 () (tptp.p1 @t3)) % 0.29/0.57 (define @t9 () (not (tptp.r1 @t1 @t3))) % 0.29/0.57 (define @t10 () (or @t9 @t8 @t7)) % 0.29/0.57 (define @t11 () (@list @t3)) % 0.29/0.57 (define @t12 () (forall @t11 @t10)) % 0.29/0.57 (define @t13 () (or @t4 false)) % 0.29/0.57 (define @t14 () (forall @t5 @t13)) % 0.29/0.57 (define @t15 () (not @t14)) % 0.29/0.57 (define @t16 () (or @t9 @t15)) % 0.29/0.57 (define @t17 () (forall @t11 @t16)) % 0.29/0.57 (define @t18 () (not @t17)) % 0.29/0.57 (define @t19 () (forall @t11 (or @t9 @t8))) % 0.29/0.57 (define @t20 () (forall @t5 (or @t4 @t19))) % 0.29/0.57 (define @t21 () (not @t20)) % 0.29/0.57 (define @t22 () (and @t21 @t6)) % 0.29/0.57 (define @t23 () (not @t22)) % 0.29/0.57 (define @t24 () (or @t9 @t23)) % 0.29/0.57 (define @t25 () (forall @t11 @t24)) % 0.29/0.57 (define @t26 () (not @t25)) % 0.29/0.57 (define @t27 () (not @t8)) % 0.29/0.57 (define @t28 () (forall @t11 (or @t9 @t27))) % 0.29/0.57 (define @t29 () (not @t28)) % 0.29/0.57 (define @t30 () (or @t4 @t29)) % 0.29/0.57 (define @t31 () (forall @t5 @t30)) % 0.29/0.57 (define @t32 () (forall @t5 (or @t4 (not @t2)))) % 0.29/0.57 (define @t33 () (not @t32)) % 0.29/0.57 (define @t34 () (or @t9 @t33)) % 0.29/0.57 (define @t35 () (forall @t11 @t34)) % 0.29/0.57 (define @t36 () (or @t4 @t35)) % 0.29/0.57 (define @t37 () (forall @t5 @t36)) % 0.29/0.57 (define @t38 () (not @t37)) % 0.29/0.57 (define @t39 () (and @t38 @t31)) % 0.29/0.57 (define @t40 () (not @t39)) % 0.29/0.57 (define @t41 () (or @t9 @t40)) % 0.29/0.57 (define @t42 () (forall @t11 @t41)) % 0.29/0.57 (define @t43 () (not @t42)) % 0.29/0.57 (define @t44 () (not @t31)) % 0.29/0.57 (define @t45 () (and @t44 @t8)) % 0.29/0.57 (define @t46 () (not @t45)) % 0.29/0.57 (define @t47 () (or @t9 @t46)) % 0.29/0.57 (define @t48 () (forall @t11 @t47)) % 0.29/0.57 (define @t49 () (not @t48)) % 0.29/0.57 (define @t50 () (not @t19)) % 0.29/0.57 (define @t51 () (or @t4 @t50)) % 0.29/0.57 (define @t52 () (forall @t5 @t51)) % 0.29/0.57 (define @t53 () (not @t52)) % 0.29/0.57 (define @t54 () (and @t53 @t27)) % 0.29/0.57 (define @t55 () (not @t54)) % 0.29/0.57 (define @t56 () (or @t9 @t55)) % 0.29/0.57 (define @t57 () (forall @t11 @t56)) % 0.29/0.57 (define @t58 () (not @t57)) % 0.29/0.57 (define @t59 () (or @t58 @t49 @t43 @t26 @t18 @t12)) % 0.29/0.57 (define @t60 () (not @t59)) % 0.29/0.57 (define @t61 () (exists @t5 @t60)) % 0.29/0.57 (define @t62 () (@var "BOUND_VARIABLE_7674" $$unsorted)) % 0.29/0.57 (define @t63 () (tptp.p1 @t62)) % 0.29/0.57 (define @t64 () (@var "BOUND_VARIABLE_7716" $$unsorted)) % 0.29/0.57 (define @t65 () (@list @t62)) % 0.29/0.57 (define @t66 () (not (forall @t65 (or (not (tptp.r1 @t64 @t62)) @t63)))) % 0.29/0.57 (define @t67 () (tptp.p1 @t64)) % 0.29/0.57 (define @t68 () (not (tptp.r1 @t1 @t64))) % 0.29/0.57 (define @t69 () (@var "BOUND_VARIABLE_7685" $$unsorted)) % 0.29/0.57 (define @t70 () (@list @t69)) % 0.29/0.57 (define @t71 () (not (forall @t70 (not (tptp.r1 @t3 @t69))))) % 0.29/0.57 (define @t72 () (not (forall @t11 (or @t9 @t71)))) % 0.29/0.57 (define @t73 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 0.29/0.57 (define @t74 () (tptp.p1 @t73)) % 0.29/0.57 (define @t75 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 0.29/0.57 (define @t76 () (not (tptp.r1 @t75 @t73))) % 0.29/0.57 (define @t77 () (not (tptp.r1 @t3 @t75))) % 0.29/0.57 (define @t78 () (not (forall @t65 (or (not (tptp.r1 @t3 @t62)) @t63)))) % 0.29/0.57 (define @t79 () (@list @t3 @t75 @t73)) % 0.29/0.57 (define @t80 () (not (forall @t79 (or @t9 @t78 @t77 @t76 @t74)))) % 0.29/0.57 (define @t81 () (@var "BOUND_VARIABLE_7553" $$unsorted)) % 0.29/0.57 (define @t82 () (not (tptp.p1 @t81))) % 0.29/0.57 (define @t83 () (@var "BOUND_VARIABLE_7609" $$unsorted)) % 0.29/0.57 (define @t84 () (@list @t81)) % 0.29/0.57 (define @t85 () (not (forall @t84 (or (not (tptp.r1 @t83 @t81)) @t82)))) % 0.29/0.57 (define @t86 () (@var "BOUND_VARIABLE_7607" $$unsorted)) % 0.29/0.57 (define @t87 () (not (tptp.r1 @t86 @t83))) % 0.29/0.57 (define @t88 () (not (tptp.r1 @t3 @t86))) % 0.29/0.57 (define @t89 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.29/0.57 (define @t90 () (not (tptp.p1 @t89))) % 0.29/0.57 (define @t91 () (@var "BOUND_VARIABLE_7698" $$unsorted)) % 0.29/0.57 (define @t92 () (@list @t89)) % 0.29/0.57 (define @t93 () (not (forall (@list @t91) (or (not (tptp.r1 @t3 @t91)) (not (forall @t92 (or (not (tptp.r1 @t91 @t89)) @t90))))))) % 0.29/0.57 (define @t94 () (@list @t3 @t86 @t83)) % 0.29/0.57 (define @t95 () (not (forall @t94 (or @t9 @t93 @t88 @t87 @t85)))) % 0.29/0.57 (define @t96 () (@var "BOUND_VARIABLE_7517" $$unsorted)) % 0.29/0.57 (define @t97 () (not (tptp.p1 @t96))) % 0.29/0.57 (define @t98 () (@var "BOUND_VARIABLE_7537" $$unsorted)) % 0.29/0.57 (define @t99 () (@list @t96)) % 0.29/0.57 (define @t100 () (not (forall @t99 (or (not (tptp.r1 @t98 @t96)) @t97)))) % 0.29/0.57 (define @t101 () (not (tptp.r1 @t3 @t98))) % 0.29/0.57 (define @t102 () (or @t9 @t27 @t101 @t100)) % 0.29/0.57 (define @t103 () (@list @t3 @t98)) % 0.29/0.57 (define @t104 () (not (forall @t103 @t102))) % 0.29/0.57 (define @t105 () (@var "BOUND_VARIABLE_7482" $$unsorted)) % 0.29/0.57 (define @t106 () (tptp.p1 @t105)) % 0.29/0.57 (define @t107 () (@var "BOUND_VARIABLE_7501" $$unsorted)) % 0.29/0.57 (define @t108 () (@list @t105)) % 0.29/0.57 (define @t109 () (not (forall @t108 (or (not (tptp.r1 @t107 @t105)) @t106)))) % 0.29/0.57 (define @t110 () (not (tptp.r1 @t3 @t107))) % 0.29/0.57 (define @t111 () (or @t9 @t8 @t110 @t109)) % 0.29/0.57 (define @t112 () (@list @t3 @t107)) % 0.29/0.57 (define @t113 () (not (forall @t112 @t111))) % 0.29/0.57 (define @t114 () (or @t113 @t104 @t95 @t80 @t72 @t68 @t67 @t66)) % 0.29/0.57 (define @t115 () (or @t68 @t67 @t66)) % 0.29/0.57 (define @t116 () (or @t113 @t104 @t95 @t80 @t72 @t115)) % 0.29/0.57 (define @t117 () (@list @t1 @t64)) % 0.29/0.57 (define @t118 () (forall @t117 @t116)) % 0.29/0.57 (define @t119 () (@list @t64)) % 0.29/0.57 (define @t120 () (forall @t119 @t116)) % 0.29/0.57 (define @t121 () (forall @t119 @t115)) % 0.29/0.57 (define @t122 () (@list @t3)) % 0.29/0.57 (define @t123 () (or @t113 @t104 @t95 @t80 @t72 @t121)) % 0.29/0.57 (define @t124 () (@list @t1)) % 0.29/0.57 (define @t125 () (forall @t5 @t4)) % 0.29/0.57 (define @t126 () (not @t125)) % 0.29/0.57 (define @t127 () (or @t9 @t126)) % 0.29/0.57 (define @t128 () (forall @t11 @t127)) % 0.29/0.57 (define @t129 () (not @t128)) % 0.29/0.57 (define @t130 () (or @t9 @t7 @t77 @t76 @t74)) % 0.29/0.57 (define @t131 () (forall @t79 @t130)) % 0.29/0.57 (define @t132 () (not @t131)) % 0.29/0.57 (define @t133 () (forall @t5 (or @t4 (not (forall @t92 (or (not (tptp.r1 @t1 @t89)) @t90)))))) % 0.29/0.57 (define @t134 () (not @t133)) % 0.29/0.57 (define @t135 () (or @t9 @t134 @t88 @t87 @t85)) % 0.29/0.57 (define @t136 () (forall @t94 @t135)) % 0.29/0.57 (define @t137 () (not @t136)) % 0.29/0.57 (define @t138 () (or @t113 @t104 @t137 @t132 @t129 @t12)) % 0.29/0.57 (define @t139 () (not @t138)) % 0.29/0.57 (define @t140 () (forall @t5 (not @t139))) % 0.29/0.57 (define @t141 () (not @t140)) % 0.29/0.57 (define @t142 () (or @t77 @t76 @t74)) % 0.29/0.57 (define @t143 () (or @t9 @t142 @t7)) % 0.29/0.57 (define @t144 () (forall @t79 @t143)) % 0.29/0.57 (define @t145 () (@list @t75 @t73)) % 0.29/0.57 (define @t146 () (forall @t145 @t143)) % 0.29/0.57 (define @t147 () (forall @t145 @t142)) % 0.29/0.57 (define @t148 () (@var "BOUND_VARIABLE_7627" $$unsorted)) % 0.29/0.57 (define @t149 () (or @t9 @t147 @t7)) % 0.29/0.57 (define @t150 () (tptp.p1 @t148)) % 0.29/0.57 (define @t151 () (not (tptp.r1 @t1 @t148))) % 0.29/0.57 (define @t152 () (or @t4 @t151 @t150)) % 0.29/0.57 (define @t153 () (@list @t1 @t148)) % 0.29/0.57 (define @t154 () (forall @t153 @t152)) % 0.29/0.57 (define @t155 () (or @t9 @t154 @t7)) % 0.29/0.57 (define @t156 () (not @t154)) % 0.29/0.57 (define @t157 () (or @t9 (not (and @t156 @t6)))) % 0.29/0.57 (define @t158 () (or @t151 @t150)) % 0.29/0.57 (define @t159 () (or @t4 @t158)) % 0.29/0.57 (define @t160 () (forall @t153 @t159)) % 0.29/0.57 (define @t161 () (@list @t148)) % 0.29/0.57 (define @t162 () (forall @t161 @t159)) % 0.29/0.57 (define @t163 () (forall @t161 @t158)) % 0.29/0.57 (define @t164 () (or @t4 @t163)) % 0.29/0.57 (define @t165 () (or @t88 @t87 @t85)) % 0.29/0.57 (define @t166 () (or @t9 @t165 @t134)) % 0.29/0.57 (define @t167 () (forall @t94 @t166)) % 0.29/0.57 (define @t168 () (@list @t86 @t83)) % 0.29/0.57 (define @t169 () (forall @t168 @t166)) % 0.29/0.57 (define @t170 () (forall @t168 @t165)) % 0.29/0.57 (define @t171 () (@var "BOUND_VARIABLE_7567" $$unsorted)) % 0.29/0.57 (define @t172 () (or @t9 @t170 @t134)) % 0.29/0.57 (define @t173 () (not (forall @t84 (or (not (tptp.r1 @t171 @t81)) @t82)))) % 0.29/0.57 (define @t174 () (not (tptp.r1 @t1 @t171))) % 0.29/0.57 (define @t175 () (or @t4 @t174 @t173)) % 0.29/0.57 (define @t176 () (@list @t1 @t171)) % 0.29/0.57 (define @t177 () (forall @t176 @t175)) % 0.29/0.57 (define @t178 () (or @t9 @t177 @t134)) % 0.29/0.57 (define @t179 () (not @t177)) % 0.29/0.57 (define @t180 () (or @t9 (not (and @t179 @t133)))) % 0.29/0.57 (define @t181 () (and @t179 @t31)) % 0.29/0.57 (define @t182 () (not @t181)) % 0.29/0.57 (define @t183 () (or @t9 @t182)) % 0.29/0.57 (define @t184 () (or @t174 @t173)) % 0.29/0.57 (define @t185 () (or @t4 @t184)) % 0.29/0.57 (define @t186 () (forall @t176 @t185)) % 0.29/0.57 (define @t187 () (@list @t171)) % 0.29/0.57 (define @t188 () (forall @t187 @t185)) % 0.29/0.57 (define @t189 () (forall @t187 @t184)) % 0.29/0.57 (define @t190 () (or @t4 @t189)) % 0.29/0.57 (define @t191 () (or @t101 @t100)) % 0.29/0.57 (define @t192 () (or @t9 @t191 @t27)) % 0.29/0.57 (define @t193 () (forall @t103 @t192)) % 0.29/0.57 (define @t194 () (@list @t98)) % 0.29/0.57 (define @t195 () (forall @t194 @t192)) % 0.29/0.57 (define @t196 () (forall @t194 @t191)) % 0.29/0.57 (define @t197 () (or @t9 @t196 @t27)) % 0.29/0.57 (define @t198 () (forall @t5 (or @t4 (not (forall @t99 (or (not (tptp.r1 @t1 @t96)) @t97)))))) % 0.29/0.57 (define @t199 () (or @t9 @t198 @t27)) % 0.29/0.57 (define @t200 () (not @t198)) % 0.29/0.57 (define @t201 () (or @t9 (not (and @t200 @t8)))) % 0.29/0.57 (define @t202 () (or @t110 @t109)) % 0.29/0.57 (define @t203 () (or @t9 @t202 @t8)) % 0.29/0.57 (define @t204 () (forall @t112 @t203)) % 0.29/0.57 (define @t205 () (@list @t107)) % 0.29/0.57 (define @t206 () (forall @t205 @t203)) % 0.29/0.57 (define @t207 () (forall @t205 @t202)) % 0.29/0.57 (define @t208 () (or @t9 @t207 @t8)) % 0.29/0.57 (define @t209 () (forall @t5 (or @t4 (not (forall @t108 (or (not (tptp.r1 @t1 @t105)) @t106)))))) % 0.29/0.57 (define @t210 () (or @t9 @t209 @t8)) % 0.29/0.57 (define @t211 () (not @t209)) % 0.29/0.57 (define @t212 () (or @t9 (not (and @t211 @t27)))) % 0.29/0.57 (define @t213 () (forall @t117 @t114)) % 0.29/0.57 (define @t214 () (@quantifiers_skolemize @t213 0)) % 0.29/0.57 (define @t215 () (not (tptp.r1 @t214 @t3))) % 0.29/0.57 (define @t216 () (forall @t79 (or @t215 @t78 @t77 @t76 @t74))) % 0.29/0.57 (define @t217 () (@quantifiers_skolemize @t213 1)) % 0.29/0.57 (define @t218 () (forall @t65 (or (not (tptp.r1 @t217 @t62)) @t63))) % 0.29/0.57 (define @t219 () (not @t218)) % 0.29/0.57 (define @t220 () (tptp.p1 @t217)) % 0.29/0.57 (define @t221 () (tptp.r1 @t214 @t217)) % 0.29/0.57 (define @t222 () (not @t221)) % 0.29/0.57 (define @t223 () (forall @t11 (or @t215 @t71))) % 0.29/0.57 (define @t224 () (not @t223)) % 0.29/0.57 (define @t225 () (not @t216)) % 0.29/0.57 (define @t226 () (forall @t112 (or @t215 @t8 @t110 @t109))) % 0.29/0.57 (define @t227 () (not @t226)) % 0.29/0.57 (define @t228 () (or @t227 (not (forall @t103 (or @t215 @t27 @t101 @t100))) (not (forall @t94 (or @t215 @t93 @t88 @t87 @t85))) @t225 @t224 @t222 @t220 @t219)) % 0.29/0.57 (define @t229 () (@list true)) % 0.29/0.57 (define @t230 () (@list @t228)) % 0.29/0.57 (define @t231 () (forall @t70 (not (tptp.r1 @t217 @t69)))) % 0.29/0.57 (define @t232 () (@quantifiers_skolemize @t231 0)) % 0.29/0.57 (define @t233 () (not @t231)) % 0.29/0.57 (define @t234 () (or @t222 @t233)) % 0.29/0.57 (define @t235 () (tptp.r1 @t217 @t232)) % 0.29/0.57 (define @t236 () (not @t235)) % 0.29/0.57 (define @t237 () (not @t236)) % 0.29/0.57 (define @t238 () (forall @t108 (or (not (tptp.r1 @t232 @t105)) @t106))) % 0.29/0.57 (define @t239 () (not @t238)) % 0.29/0.57 (define @t240 () (or @t222 @t220 @t236 @t239)) % 0.29/0.57 (define @t241 () (@quantifiers_skolemize @t238 0)) % 0.29/0.57 (define @t242 () (tptp.p1 @t241)) % 0.29/0.57 (define @t243 () (tptp.r1 @t232 @t241)) % 0.29/0.57 (define @t244 () (not @t243)) % 0.29/0.57 (define @t245 () (or @t244 @t242)) % 0.29/0.57 (define @t246 () (@list @t245)) % 0.29/0.57 (define @t247 () (or @t222 @t219 @t236 @t244 @t242)) % 0.29/0.57 (define @t248 () (not @t247)) % 0.29/0.57 (assume @p1 (not (not @t61))) % 0.29/0.57 (assume @p2 true) % 0.29/0.57 (step @p3 :rule aci_norm :args ((= @t116 @t114))) % 0.29/0.57 (step @p4 :rule cong :premises (@p3) :args (@t118)) % 0.29/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t5 @t120) @t118))) % 0.29/0.57 (step @p6 :rule alpha_equiv :args (@t121 (@list @t64) @t122)) % 0.29/0.57 (step @p7 :rule refl :args (@t72)) % 0.29/0.57 (step @p8 :rule refl :args (@t80)) % 0.29/0.57 (step @p9 :rule refl :args (@t95)) % 0.29/0.57 (step @p10 :rule refl :args (@t104)) % 0.29/0.57 (step @p11 :rule refl :args (@t113)) % 0.29/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9 @p8 @p7 @p6) :args (@t123)) % 0.29/0.57 (step @p13 :rule quant-miniscope-or :args ((= @t120 @t123))) % 0.29/0.57 (step @p14 :rule trans :premises (@p13 @p12)) % 0.29/0.57 (step @p15 :rule symm :premises (@p14)) % 0.29/0.57 (step @p16 :rule cong :premises (@p15) :args ((forall @t5 (or @t113 @t104 @t95 @t80 @t72 (forall @t11 (or @t9 @t8 @t78)))))) % 0.29/0.57 (step @p17 :rule trans :premises (@p16 @p5)) % 0.29/0.57 (step @p18 :rule trans :premises (@p17 @p4)) % 0.29/0.57 (step @p19 :rule alpha_equiv :args (@t6 @t124 (@list @t62))) % 0.29/0.57 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.29/0.57 (step @p21 :rule refl :args (@t8)) % 0.29/0.57 (step @p22 :rule refl :args (@t9)) % 0.29/0.57 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args (@t10)) % 0.29/0.57 (step @p24 :rule cong :premises (@p23) :args (@t12)) % 0.29/0.57 (step @p25 :rule alpha_equiv :args (@t125 @t124 (@list @t69))) % 0.29/0.57 (step @p26 :rule cong :premises (@p25) :args (@t126)) % 0.29/0.57 (step @p27 :rule nary_cong :premises (@p22 @p26) :args (@t127)) % 0.29/0.57 (step @p28 :rule cong :premises (@p27) :args (@t128)) % 0.29/0.57 (step @p29 :rule cong :premises (@p28) :args (@t129)) % 0.29/0.57 (step @p30 :rule refl 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(@t228)) % 0.29/0.58 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t228 (not @t225)))) % 0.29/0.58 (step @p234 :rule cnf_or_neg :args (@t228 3)) % 0.29/0.58 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 0.29/0.58 (step @p236 :rule reordering :premises (@p235) :args ((or @t216 @t228))) % 0.29/0.58 (step @p237 :rule chain_m_resolution :premises (@p236 @p230) :args (@t216 @t229 @t230)) % 0.29/0.58 (step @p238 :rule bool-double-not-elim :args (@t226)) % 0.29/0.58 (step @p239 :rule nary_cong :premises (@p232 @p238) :args ((or @t228 (not @t227)))) % 0.29/0.58 (step @p240 :rule cnf_or_neg :args (@t228 0)) % 0.29/0.58 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 0.29/0.58 (step @p242 :rule reordering :premises (@p241) :args ((or @t226 @t228))) % 0.29/0.58 (step @p243 :rule chain_m_resolution :premises (@p242 @p230) :args (@t226 @t229 @t230)) % 0.29/0.58 (step @p244 :rule instantiate :premises (@p243) :args ((@list @t217 @t232))) % 0.29/0.58 (step @p245 :rule bool-double-not-elim :args (@t223)) % 0.29/0.58 (step @p246 :rule nary_cong :premises (@p232 @p245) :args ((or @t228 (not @t224)))) % 0.29/0.58 (step @p247 :rule cnf_or_neg :args (@t228 4)) % 0.29/0.58 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 0.29/0.58 (step @p249 :rule reordering :premises (@p248) :args ((or @t223 @t228))) % 0.29/0.58 (step @p250 :rule chain_m_resolution :premises (@p249 @p230) :args (@t223 @t229 @t230)) % 0.29/0.58 (step @p251 :rule instantiate :premises (@p250) :args ((@list @t217))) % 0.29/0.58 (step @p252 :rule bool-double-not-elim :args (@t221)) % 0.29/0.58 (step @p253 :rule nary_cong :premises (@p232 @p252) :args ((or @t228 (not @t222)))) % 0.29/0.58 (step @p254 :rule cnf_or_neg :args (@t228 5)) % 0.29/0.58 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 0.29/0.58 (step @p256 :rule reordering :premises (@p255) :args ((or @t221 @t228))) % 0.29/0.58 (step @p257 :rule chain_m_resolution :premises (@p256 @p230) :args (@t221 @t229 @t230)) % 0.29/0.58 (step @p258 :rule cnf_or_pos :args (@t234)) % 0.29/0.58 (step @p259 :rule reordering :premises (@p258) :args ((or @t222 @t233 (not @t234)))) % 0.29/0.58 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p251) :args (@t233 (@list false false) (@list @t221 @t234))) % 0.29/0.58 (step @p261 :rule refl :args (@t235)) % 0.29/0.58 (step @p262 :rule bool-double-not-elim :args (@t231)) % 0.29/0.58 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or (not @t233) @t235))) % 0.29/0.58 (step @p264 :rule bool-double-not-elim :args (@t235)) % 0.29/0.58 (step @p265 :rule refl :args (@t233)) % 0.29/0.58 (step @p266 :rule cong :premises (@p265 @p264) :args ((=> @t233 @t237))) % 0.29/0.58 (assume-push @p305 @t233) % 0.29/0.58 (step @p268 :rule skolemize :premises (@p260)) % 0.29/0.58 (step-pop @p306 :rule scope :premises (@p268)) % 0.29/0.58 (step @p269 :rule process_scope :premises (@p306) :args (@t237)) % 0.29/0.58 (step @p271 :rule eq_resolve :premises (@p269 @p266)) % 0.29/0.58 (step @p272 :rule implies_elim :premises (@p271)) % 0.29/0.58 (step @p273 :rule eq_resolve :premises (@p272 @p263)) % 0.29/0.58 (step @p274 :rule chain_m_resolution :premises (@p273 @p260) :args (@t235 @t229 (@list @t231))) % 0.29/0.58 (step @p275 :rule cnf_or_neg :args (@t228 6)) % 0.29/0.58 (step @p276 :rule chain_m_resolution :premises (@p275 @p230) :args ((not @t220) @t229 @t230)) % 0.29/0.58 (step @p277 :rule cnf_or_pos :args (@t240)) % 0.29/0.58 (step @p278 :rule reordering :premises (@p277) :args ((or @t222 @t220 @t236 @t239 (not @t240)))) % 0.29/0.58 (step @p279 :rule chain_m_resolution :premises (@p278 @p257 @p276 @p274 @p244) :args (@t239 (@list false true false false) (@list @t221 @t220 @t235 @t240))) % 0.29/0.58 (step @p280 :rule skolemize :premises (@p279)) % 0.29/0.58 (step @p281 :rule cnf_or_neg :args (@t245 1)) % 0.29/0.58 (step @p282 :rule chain_m_resolution :premises (@p281 @p280) :args ((not @t242) @t229 @t246)) % 0.29/0.58 (step @p283 :rule bool-double-not-elim :args (@t243)) % 0.29/0.58 (step @p284 :rule refl :args (@t245)) % 0.29/0.58 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t245 (not @t244)))) % 0.29/0.58 (step @p286 :rule cnf_or_neg :args (@t245 0)) % 0.29/0.58 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 0.29/0.58 (step @p288 :rule reordering :premises (@p287) :args ((or @t243 @t245))) % 0.29/0.58 (step @p289 :rule chain_m_resolution :premises (@p288 @p280) :args (@t243 @t229 @t246)) % 0.29/0.58 (step @p290 :rule bool-double-not-elim :args (@t218)) % 0.29/0.58 (step @p291 :rule nary_cong :premises (@p232 @p290) :args ((or @t228 (not @t219)))) % 0.29/0.58 (step @p292 :rule cnf_or_neg :args (@t228 7)) % 0.29/0.58 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 0.29/0.58 (step @p294 :rule reordering :premises (@p293) :args ((or @t218 @t228))) % 0.29/0.58 (step @p295 :rule chain_m_resolution :premises (@p294 @p230) :args (@t218 @t229 @t230)) % 0.29/0.58 (step @p296 :rule cnf_or_pos :args (@t247)) % 0.29/0.58 (step @p297 :rule reordering :premises (@p296) :args ((or @t222 @t219 @t236 @t244 @t242 @t248))) % 0.29/0.58 (step @p298 :rule chain_m_resolution :premises (@p297 @p257 @p295 @p274 @p289 @p282) :args (@t248 (@list false false false false true) (@list @t221 @t218 @t235 @t243 @t242))) % 0.29/0.58 (assume-push @p307 @t216) % 0.29/0.58 (step @p300 :rule instantiate :premises (@p237) :args ((@list @t217 @t232 @t241))) % 0.29/0.58 (step-pop @p308 :rule scope :premises (@p300)) % 0.29/0.58 (step @p301 :rule process_scope :premises (@p308) :args (@t247)) % 0.29/0.58 (step @p303 :rule implies_elim :premises (@p301)) % 0.29/0.58 (step @p304 false :rule chain_m_resolution :premises (@p303 @p298 @p237) :args (false (@list true false) (@list @t247 @t216))) % 0.29/0.58 ) % 0.29/0.58 % SZS output end Proof % 0.29/0.58 % cvc5 exiting %------------------------------------------------------------------------------