%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS162+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:29:02 AM UTC 2026 % Result : Theorem 0.35s 0.61s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS162+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.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 05:28:15 EDT 2026 % 0.15/0.34 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.61 % SZS status Theorem % 0.35/0.61 % SZS output start Proof % 0.35/0.61 ( % 0.35/0.61 (declare-sort $$unsorted 0) % 0.35/0.61 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.rq (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.35/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.35/0.61 (define @t2 () (@var "A" $$unsorted)) % 0.35/0.61 (define @t3 () (= @t2 @t1)) % 0.35/0.61 (define @t4 () (@list @t2 @t1)) % 0.35/0.61 (define @t5 () (@var "C" $$unsorted)) % 0.35/0.61 (define @t6 () (@list @t2 @t1 @t5)) % 0.35/0.61 (define @t7 () (@var "X" $$unsorted)) % 0.35/0.61 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.35/0.61 (define @t9 () (tptp.cowlThing @t7)) % 0.35/0.61 (define @t10 () (@list @t7)) % 0.35/0.61 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.35/0.61 (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.35/0.61 (define @t13 () (@var "Y" $$unsorted)) % 0.35/0.61 (define @t14 () (tptp.cA @t13)) % 0.35/0.61 (define @t15 () (tptp.rp @t7 @t13)) % 0.35/0.61 (define @t16 () (@list @t7 @t13)) % 0.35/0.61 (define @t17 () (forall @t16 (=> @t15 @t14))) % 0.35/0.61 (define @t18 () (tptp.cB @t13)) % 0.35/0.61 (define @t19 () (tptp.rq @t7 @t13)) % 0.35/0.61 (define @t20 () (forall @t16 (=> @t19 @t18))) % 0.35/0.61 (define @t21 () (tptp.cA @t7)) % 0.35/0.61 (define @t22 () (tptp.cB @t7)) % 0.35/0.61 (define @t23 () (forall @t10 (not (and @t22 @t21)))) % 0.35/0.61 (define @t24 () (tptp.rr @t7 @t13)) % 0.35/0.61 (define @t25 () (forall @t16 (=> @t19 @t24))) % 0.35/0.61 (define @t26 () (forall @t16 (=> @t15 @t24))) % 0.35/0.61 (define @t27 () (@var "Y4" $$unsorted)) % 0.35/0.61 (define @t28 () (@var "Y3" $$unsorted)) % 0.35/0.61 (define @t29 () (= @t28 @t27)) % 0.35/0.61 (define @t30 () (not @t29)) % 0.35/0.61 (define @t31 () (@var "Y2" $$unsorted)) % 0.35/0.61 (define @t32 () (= @t31 @t27)) % 0.35/0.61 (define @t33 () (not @t32)) % 0.35/0.61 (define @t34 () (= @t31 @t28)) % 0.35/0.61 (define @t35 () (not @t34)) % 0.35/0.61 (define @t36 () (@var "Y1" $$unsorted)) % 0.35/0.61 (define @t37 () (= @t36 @t27)) % 0.35/0.61 (define @t38 () (not @t37)) % 0.35/0.61 (define @t39 () (= @t36 @t28)) % 0.35/0.61 (define @t40 () (not @t39)) % 0.35/0.61 (define @t41 () (= @t36 @t31)) % 0.35/0.61 (define @t42 () (not @t41)) % 0.35/0.61 (define @t43 () (@var "Y0" $$unsorted)) % 0.35/0.61 (define @t44 () (= @t43 @t27)) % 0.35/0.61 (define @t45 () (not @t44)) % 0.35/0.61 (define @t46 () (= @t43 @t28)) % 0.35/0.61 (define @t47 () (not @t46)) % 0.35/0.61 (define @t48 () (= @t43 @t31)) % 0.35/0.61 (define @t49 () (not @t48)) % 0.35/0.61 (define @t50 () (= @t43 @t36)) % 0.35/0.61 (define @t51 () (not @t50)) % 0.35/0.61 (define @t52 () (tptp.rr @t7 @t27)) % 0.35/0.61 (define @t53 () (tptp.rr @t7 @t28)) % 0.35/0.61 (define @t54 () (tptp.rr @t7 @t31)) % 0.35/0.61 (define @t55 () (tptp.rr @t7 @t36)) % 0.35/0.61 (define @t56 () (tptp.rr @t7 @t43)) % 0.35/0.61 (define @t57 () (and @t56 @t55 @t54 @t53 @t52 @t51 @t49 @t47 @t45 @t42 @t40 @t38 @t35 @t33 @t30)) % 0.35/0.61 (define @t58 () (@list @t43 @t36 @t31 @t28 @t27)) % 0.35/0.61 (define @t59 () (exists @t58 @t57)) % 0.35/0.61 (define @t60 () (tptp.rq @t7 @t31)) % 0.35/0.61 (define @t61 () (tptp.rq @t7 @t36)) % 0.35/0.61 (define @t62 () (tptp.rq @t7 @t43)) % 0.35/0.61 (define @t63 () (and @t62 @t61 @t60 @t51 @t49 @t42)) % 0.35/0.61 (define @t64 () (@list @t43 @t36 @t31)) % 0.35/0.61 (define @t65 () (exists @t64 @t63)) % 0.35/0.61 (define @t66 () (tptp.rp @t7 @t36)) % 0.35/0.61 (define @t67 () (tptp.rp @t7 @t43)) % 0.35/0.61 (define @t68 () (and @t67 @t66 @t51)) % 0.35/0.61 (define @t69 () (@list @t43 @t36)) % 0.35/0.61 (define @t70 () (exists @t69 @t68)) % 0.35/0.61 (define @t71 () (and @t70 @t65)) % 0.35/0.61 (define @t72 () (=> @t71 @t59)) % 0.35/0.61 (define @t73 () (forall @t10 @t72)) % 0.35/0.61 (define @t74 () (and @t11 @t12 @t73)) % 0.35/0.61 (define @t75 () (not @t74)) % 0.35/0.61 (define @t76 () (@var "BOUND_VARIABLE_7797" $$unsorted)) % 0.35/0.61 (define @t77 () (@var "BOUND_VARIABLE_7795" $$unsorted)) % 0.35/0.61 (define @t78 () (= @t77 @t76)) % 0.35/0.61 (define @t79 () (@var "BOUND_VARIABLE_7793" $$unsorted)) % 0.35/0.61 (define @t80 () (= @t79 @t76)) % 0.35/0.61 (define @t81 () (= @t79 @t77)) % 0.35/0.61 (define @t82 () (not (tptp.rq @t7 @t76))) % 0.35/0.61 (define @t83 () (not (tptp.rq @t7 @t77))) % 0.35/0.61 (define @t84 () (not (tptp.rq @t7 @t79))) % 0.35/0.61 (define @t85 () (@var "BOUND_VARIABLE_7785" $$unsorted)) % 0.35/0.61 (define @t86 () (@var "BOUND_VARIABLE_7783" $$unsorted)) % 0.35/0.61 (define @t87 () (= @t86 @t85)) % 0.35/0.61 (define @t88 () (not (tptp.rp @t7 @t85))) % 0.35/0.61 (define @t89 () (not (tptp.rp @t7 @t86))) % 0.35/0.61 (define @t90 () (not @t52)) % 0.35/0.61 (define @t91 () (not @t53)) % 0.35/0.61 (define @t92 () (not @t54)) % 0.35/0.61 (define @t93 () (not @t55)) % 0.35/0.61 (define @t94 () (not @t56)) % 0.35/0.61 (define @t95 () (not (forall @t58 (or @t94 @t93 @t92 @t91 @t90 @t50 @t48 @t46 @t44 @t41 @t39 @t37 @t34 @t32 @t29)))) % 0.35/0.61 (define @t96 () (or @t95 @t89 @t88 @t87 @t84 @t83 @t82 @t81 @t80 @t78)) % 0.35/0.61 (define @t97 () (@list @t7 @t86 @t85 @t79 @t77 @t76)) % 0.35/0.61 (define @t98 () (forall @t97 @t96)) % 0.35/0.61 (define @t99 () (@quantifiers_skolemize @t98 2)) % 0.35/0.61 (define @t100 () (@quantifiers_skolemize @t98 0)) % 0.35/0.61 (define @t101 () (@list @t100 @t99)) % 0.35/0.61 (define @t102 () (forall @t10 @t8)) % 0.35/0.61 (define @t103 () (@list @t7)) % 0.35/0.61 (define @t104 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 0.35/0.61 (define @t105 () (forall @t10 @t9)) % 0.35/0.61 (define @t106 () (@var "BOUND_VARIABLE_7716" $$unsorted)) % 0.35/0.61 (define @t107 () (and @t105 @t102)) % 0.35/0.61 (define @t108 () (forall (@list @t104) (not (tptp.cowlNothing @t104)))) % 0.35/0.61 (define @t109 () (forall (@list @t106) (tptp.cowlThing @t106))) % 0.35/0.61 (define @t110 () (or @t84 @t83 @t82 @t81 @t80 @t78)) % 0.35/0.61 (define @t111 () (or @t89 @t88 @t87)) % 0.35/0.61 (define @t112 () (or @t111 @t110 @t95)) % 0.35/0.61 (define @t113 () (forall @t97 @t112)) % 0.35/0.61 (define @t114 () (forall (@list @t86 @t85 @t79 @t77 @t76) @t112)) % 0.35/0.61 (define @t115 () (forall (@list @t79 @t77 @t76) @t110)) % 0.35/0.61 (define @t116 () (forall (@list @t86 @t85) @t111)) % 0.35/0.61 (define @t117 () (or @t116 @t115 @t95)) % 0.35/0.61 (define @t118 () (not @t60)) % 0.35/0.61 (define @t119 () (not @t61)) % 0.35/0.61 (define @t120 () (not @t62)) % 0.35/0.61 (define @t121 () (forall @t64 (or @t120 @t119 @t118 @t50 @t48 @t41))) % 0.35/0.61 (define @t122 () (not @t66)) % 0.35/0.61 (define @t123 () (not @t67)) % 0.35/0.61 (define @t124 () (forall @t69 (or @t123 @t122 @t50))) % 0.35/0.61 (define @t125 () (or @t124 @t121 @t95)) % 0.35/0.61 (define @t126 () (not @t121)) % 0.35/0.61 (define @t127 () (not @t124)) % 0.35/0.61 (define @t128 () (and @t127 @t126)) % 0.35/0.61 (define @t129 () (not @t30)) % 0.35/0.61 (define @t130 () (not @t33)) % 0.35/0.61 (define @t131 () (not @t35)) % 0.35/0.61 (define @t132 () (not @t38)) % 0.35/0.61 (define @t133 () (not @t40)) % 0.35/0.61 (define @t134 () (not @t42)) % 0.35/0.61 (define @t135 () (not @t45)) % 0.35/0.61 (define @t136 () (not @t47)) % 0.35/0.61 (define @t137 () (not @t49)) % 0.35/0.61 (define @t138 () (not @t51)) % 0.35/0.61 (define @t139 () (or @t94 @t93 @t92 @t91 @t90 @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129)) % 0.35/0.61 (define @t140 () (forall @t58 (not @t57))) % 0.35/0.61 (define @t141 () (not @t140)) % 0.35/0.61 (define @t142 () (or @t120 @t119 @t118 @t138 @t137 @t134)) % 0.35/0.61 (define @t143 () (forall @t64 (not @t63))) % 0.35/0.61 (define @t144 () (not @t143)) % 0.35/0.61 (define @t145 () (or @t123 @t122 @t138)) % 0.35/0.61 (define @t146 () (forall @t69 (not @t68))) % 0.35/0.61 (define @t147 () (not @t146)) % 0.35/0.61 (define @t148 () (not @t98)) % 0.35/0.61 (define @t149 () (tptp.rp @t100 @t99)) % 0.35/0.61 (define @t150 () (@quantifiers_skolemize @t98 5)) % 0.35/0.61 (define @t151 () (@quantifiers_skolemize @t98 4)) % 0.35/0.61 (define @t152 () (= @t151 @t150)) % 0.35/0.61 (define @t153 () (@quantifiers_skolemize @t98 3)) % 0.35/0.61 (define @t154 () (= @t153 @t150)) % 0.35/0.61 (define @t155 () (= @t153 @t151)) % 0.35/0.61 (define @t156 () (tptp.rq @t100 @t150)) % 0.35/0.61 (define @t157 () (not @t156)) % 0.35/0.61 (define @t158 () (tptp.rq @t100 @t151)) % 0.35/0.61 (define @t159 () (not @t158)) % 0.35/0.61 (define @t160 () (tptp.rq @t100 @t153)) % 0.35/0.61 (define @t161 () (not @t160)) % 0.35/0.61 (define @t162 () (@quantifiers_skolemize @t98 1)) % 0.35/0.61 (define @t163 () (= @t162 @t99)) % 0.35/0.61 (define @t164 () (not @t149)) % 0.35/0.61 (define @t165 () (tptp.rp @t100 @t162)) % 0.35/0.61 (define @t166 () (not @t165)) % 0.35/0.61 (define @t167 () (forall @t58 (or (not (tptp.rr @t100 @t43)) (not (tptp.rr @t100 @t36)) (not (tptp.rr @t100 @t31)) (not (tptp.rr @t100 @t28)) (not (tptp.rr @t100 @t27)) @t50 @t48 @t46 @t44 @t41 @t39 @t37 @t34 @t32 @t29))) % 0.35/0.61 (define @t168 () (not @t167)) % 0.35/0.61 (define @t169 () (or @t168 @t166 @t164 @t163 @t161 @t159 @t157 @t155 @t154 @t152)) % 0.35/0.61 (define @t170 () (@list true)) % 0.35/0.61 (define @t171 () (@list @t169)) % 0.35/0.61 (define @t172 () (tptp.cA @t99)) % 0.35/0.61 (define @t173 () (or @t164 @t172)) % 0.35/0.61 (define @t174 () (@list false false)) % 0.35/0.61 (define @t175 () (@list @t100 @t153)) % 0.35/0.61 (define @t176 () (tptp.cB @t153)) % 0.35/0.61 (define @t177 () (or @t161 @t176)) % 0.35/0.61 (define @t178 () (tptp.cA @t153)) % 0.35/0.61 (define @t179 () (not @t178)) % 0.35/0.61 (define @t180 () (not @t176)) % 0.35/0.61 (define @t181 () (or @t180 @t179)) % 0.35/0.61 (define @t182 () (tptp.rr @t100 @t99)) % 0.35/0.61 (define @t183 () (not @t182)) % 0.35/0.61 (define @t184 () (tptp.rr @t100 @t162)) % 0.35/0.61 (define @t185 () (not @t184)) % 0.35/0.61 (define @t186 () (tptp.rr @t100 @t150)) % 0.35/0.61 (define @t187 () (not @t186)) % 0.35/0.61 (define @t188 () (tptp.rr @t100 @t151)) % 0.35/0.61 (define @t189 () (not @t188)) % 0.35/0.61 (define @t190 () (tptp.rr @t100 @t153)) % 0.35/0.61 (define @t191 () (not @t190)) % 0.35/0.61 (define @t192 () (or @t191 @t189 @t187 @t185 @t183 @t155 @t154 (= @t153 @t162) (= @t153 @t99) @t152 (= @t151 @t162) (= @t151 @t99) (= @t150 @t162) (= @t150 @t99) @t163)) % 0.35/0.61 (define @t193 () (= @t99 @t150)) % 0.35/0.61 (define @t194 () (= @t162 @t150)) % 0.35/0.61 (define @t195 () (= @t99 @t151)) % 0.35/0.61 (define @t196 () (= @t162 @t151)) % 0.35/0.61 (define @t197 () (= @t99 @t153)) % 0.35/0.61 (define @t198 () (= @t162 @t153)) % 0.35/0.61 (define @t199 () (or @t191 @t189 @t187 @t185 @t183 @t155 @t154 @t198 @t197 @t152 @t196 @t195 @t194 @t193 @t163)) % 0.35/0.61 (define @t200 () (@list @t100 @t150)) % 0.35/0.61 (define @t201 () (tptp.cB @t150)) % 0.35/0.61 (define @t202 () (or @t157 @t201)) % 0.35/0.61 (define @t203 () (tptp.cA @t150)) % 0.35/0.61 (define @t204 () (not @t203)) % 0.35/0.61 (define @t205 () (not @t201)) % 0.35/0.61 (define @t206 () (or @t205 @t204)) % 0.35/0.61 (define @t207 () (not @t193)) % 0.35/0.61 (define @t208 () (not @t172)) % 0.35/0.61 (define @t209 () (not @t204)) % 0.35/0.61 (define @t210 () (= false true)) % 0.35/0.61 (define @t211 () (and @t172 @t193 @t204)) % 0.35/0.61 (define @t212 () (@list false true)) % 0.35/0.61 (define @t213 () (@list @t100 @t162)) % 0.35/0.61 (define @t214 () (tptp.cA @t162)) % 0.35/0.61 (define @t215 () (or @t166 @t214)) % 0.35/0.61 (define @t216 () (not @t194)) % 0.35/0.61 (define @t217 () (not @t214)) % 0.35/0.61 (define @t218 () (and @t214 @t194 @t204)) % 0.35/0.61 (define @t219 () (@list @t100 @t151)) % 0.35/0.61 (define @t220 () (tptp.cB @t151)) % 0.35/0.61 (define @t221 () (or @t159 @t220)) % 0.35/0.61 (define @t222 () (tptp.cA @t151)) % 0.35/0.61 (define @t223 () (not @t222)) % 0.35/0.61 (define @t224 () (not @t220)) % 0.35/0.61 (define @t225 () (or @t224 @t223)) % 0.35/0.61 (define @t226 () (not @t195)) % 0.35/0.61 (define @t227 () (not @t223)) % 0.35/0.61 (define @t228 () (and @t172 @t195 @t223)) % 0.35/0.61 (define @t229 () (not @t196)) % 0.35/0.61 (define @t230 () (and @t214 @t196 @t223)) % 0.35/0.61 (define @t231 () (not @t198)) % 0.35/0.61 (define @t232 () (not @t179)) % 0.35/0.61 (define @t233 () (and @t214 @t198 @t179)) % 0.35/0.61 (define @t234 () (or @t164 @t182)) % 0.35/0.61 (define @t235 () (or @t166 @t184)) % 0.35/0.61 (define @t236 () (or @t157 @t186)) % 0.35/0.61 (define @t237 () (or @t159 @t188)) % 0.35/0.61 (define @t238 () (or @t161 @t190)) % 0.35/0.61 (define @t239 () (not @t197)) % 0.35/0.61 (define @t240 () (and @t172 @t197 @t179)) % 0.35/0.61 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cA @t2)) (tptp.cA @t1)))) % 0.35/0.61 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cB @t2)) (tptp.cB @t1)))) % 0.35/0.61 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.35/0.61 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.35/0.61 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rp @t2 @t5)) (tptp.rp @t1 @t5)))) % 0.35/0.61 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rp @t5 @t2)) (tptp.rp @t5 @t1)))) % 0.35/0.61 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rq @t2 @t5)) (tptp.rq @t1 @t5)))) % 0.35/0.61 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rq @t5 @t2)) (tptp.rq @t5 @t1)))) % 0.35/0.61 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.35/0.61 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.35/0.61 (assume @p11 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.35/0.61 (assume @p12 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.35/0.61 (assume @p13 @t11) % 0.35/0.61 (assume @p14 @t12) % 0.35/0.61 (assume @p15 @t17) % 0.35/0.61 (assume @p16 @t20) % 0.35/0.61 (assume @p17 @t23) % 0.35/0.61 (assume @p18 @t25) % 0.35/0.61 (assume @p19 @t26) % 0.35/0.61 (assume @p20 @t75) % 0.35/0.61 (assume @p21 true) % 0.35/0.61 (step @p22 :rule bool-impl-elim :args (@t15 @t14)) % 0.35/0.61 (step @p23 :rule cong :premises (@p22) :args (@t17)) % 0.35/0.61 (step @p24 :rule eq_resolve :premises (@p15 @p23)) % 0.35/0.61 (step @p25 :rule instantiate :premises (@p24) :args (@t101)) % 0.35/0.61 (step @p26 :rule alpha_equiv :args (@t102 @t103 (@list @t104))) % 0.35/0.61 (step @p27 :rule alpha_equiv :args (@t105 @t103 (@list @t106))) % 0.35/0.61 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t107)) % 0.35/0.61 (step @p29 :rule quant-miniscope-and :args ((= @t11 @t107))) % 0.35/0.61 (step @p30 :rule trans :premises (@p29 @p28)) % 0.35/0.61 (step @p31 :rule eq_resolve :premises (@p13 @p30)) % 0.35/0.61 (step @p32 :rule and_elim :premises (@p31) :args (1)) % 0.35/0.61 (step @p33 :rule and_elim :premises 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:premises (@p449 @p205 @p447) :args (@t190 @t174 (@list @t160 @t238))) % 0.35/0.62 (step @p451 :rule cnf_or_neg :args (@t169 9)) % 0.35/0.62 (step @p452 :rule chain_m_resolution :premises (@p451 @p181) :args ((not @t152) @t170 @t171)) % 0.35/0.62 (step @p453 :rule cnf_or_neg :args (@t169 8)) % 0.35/0.62 (step @p454 :rule chain_m_resolution :premises (@p453 @p181) :args ((not @t154) @t170 @t171)) % 0.35/0.62 (step @p455 :rule cnf_or_neg :args (@t169 7)) % 0.35/0.62 (step @p456 :rule chain_m_resolution :premises (@p455 @p181) :args ((not @t155) @t170 @t171)) % 0.35/0.62 (step @p457 :rule cnf_or_neg :args (@t169 3)) % 0.35/0.62 (step @p458 :rule chain_m_resolution :premises (@p457 @p181) :args ((not @t163) @t170 @t171)) % 0.35/0.62 (step @p459 :rule cnf_or_pos :args (@t199)) % 0.35/0.62 (step @p460 :rule reordering :premises (@p459) :args ((or @t163 @t155 @t154 @t152 @t191 @t189 @t187 @t185 @t183 @t198 @t197 @t196 @t195 @t194 @t193 (not @t199)))) % 0.35/0.62 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p456 @p454 @p452 @p450 @p446 @p442 @p435 @p431 @p424 @p395 @p369 @p326 @p288 @p242) :args (@t197 (@list true true true true false false false false false true true true true true false) (@list @t163 @t155 @t154 @t152 @t190 @t188 @t186 @t184 @t182 @t198 @t196 @t195 @t194 @t193 @t199))) % 0.35/0.62 (step @p462 :rule refl :args (@t239)) % 0.35/0.62 (step @p463 :rule nary_cong :premises (@p259 @p397 @p462) :args ((or @t208 @t232 @t239))) % 0.35/0.62 (assume-push @p550 @t172) % 0.35/0.62 (assume-push @p551 @t197) % 0.35/0.62 (assume-push @p552 @t179) % 0.35/0.62 (step @p264 :rule evaluate :args (@t210)) % 0.35/0.62 (step @p265 :rule true_intro :premises (@p191)) % 0.35/0.62 (step @p467 :rule symm :premises (@p551)) % 0.35/0.62 (step @p468 :rule cong :premises (@p467) :args (@t178)) % 0.35/0.62 (step @p404 :rule false_intro :premises (@p211)) % 0.35/0.62 (step @p405 :rule symm :premises (@p404)) % 0.35/0.62 (step @p469 :rule trans :premises (@p405 @p468 @p265)) % 0.35/0.62 (step @p470 false :rule eq_resolve :premises (@p469 @p264)) % 0.35/0.62 (step-pop @p553 :rule scope :premises (@p470)) % 0.35/0.62 (step-pop @p554 :rule scope :premises (@p553)) % 0.35/0.62 (step-pop @p555 :rule scope :premises (@p554)) % 0.35/0.62 (step @p471 :rule process_scope :premises (@p555) :args (false)) % 0.35/0.62 (assume-push @p556 @t172) % 0.35/0.62 (assume-push @p557 @t179) % 0.35/0.62 (assume-push @p558 @t197) % 0.35/0.62 (step @p478 :rule and_intro :premises (@p191 @p558 @p211)) % 0.35/0.62 (step-pop @p559 :rule scope :premises (@p478)) % 0.35/0.62 (step-pop @p560 :rule scope :premises (@p559)) % 0.35/0.62 (step-pop @p561 :rule scope :premises (@p560)) % 0.35/0.62 (step @p479 :rule process_scope :premises (@p561) :args (@t240)) % 0.35/0.62 (step @p483 :rule implies_elim :premises (@p479)) % 0.35/0.62 (step @p484 :rule resolution :premises (@p483 @p471) :args (true @t240)) % 0.35/0.62 (step @p485 :rule not_and :premises (@p484)) % 0.35/0.62 (step @p486 :rule eq_resolve :premises (@p485 @p463)) % 0.35/0.62 (step @p487 false :rule chain_m_resolution :premises (@p486 @p461 @p211 @p191) :args (false (@list false true false) (@list @t197 @t178 @t172))) % 0.35/0.62 ) % 0.35/0.62 % SZS output end Proof % 0.35/0.62 % cvc5 exiting %------------------------------------------------------------------------------