%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU762^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:53:05 AM UTC 2026 % Result : Theorem 0.17s 0.41s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU762^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 17:51:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TH0 % 0.17/0.41 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.17/0.41 % SZS status Theorem % 0.17/0.41 % SZS output start Proof % 0.17/0.41 ( % 0.17/0.41 (declare-sort $$unsorted 0) % 0.17/0.41 (declare-const tptp.woz13rule3 Bool) % 0.17/0.41 (declare-const tptp.woz13rule2 Bool) % 0.17/0.41 (declare-const tptp.woz13rule1 Bool) % 0.17/0.41 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.17/0.41 (declare-const tptp.binintersectT_lem Bool) % 0.17/0.41 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.17/0.41 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.41 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.17/0.41 (define @t1 () (@var "A" $$unsorted)) % 0.17/0.41 (define @t2 () (_ tptp.powerset @t1)) % 0.17/0.41 (define @t3 () (@var "Y" $$unsorted)) % 0.17/0.41 (define @t4 () (@var "X" $$unsorted)) % 0.17/0.41 (define @t5 () (_ (_ tptp.binintersect @t4) @t3)) % 0.17/0.41 (define @t6 () (_ (_ tptp.in @t5) @t2)) % 0.17/0.41 (define @t7 () (_ tptp.in @t3)) % 0.17/0.41 (define @t8 () (_ @t7 @t2)) % 0.17/0.41 (define @t9 () (@list @t3)) % 0.17/0.41 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.17/0.41 (define @t11 () (_ tptp.in @t4)) % 0.17/0.41 (define @t12 () (_ @t11 @t2)) % 0.17/0.41 (define @t13 () (=> @t12 @t10)) % 0.17/0.41 (define @t14 () (@list @t1 @t4)) % 0.17/0.41 (define @t15 () (forall @t14 @t13)) % 0.17/0.41 (define @t16 () (= tptp.binintersectT_lem @t15)) % 0.17/0.41 (define @t17 () (@var "Z" $$unsorted)) % 0.17/0.41 (define @t18 () (_ tptp.subset @t5)) % 0.17/0.41 (define @t19 () (_ @t18 @t17)) % 0.17/0.41 (define @t20 () (_ tptp.subset @t4)) % 0.17/0.41 (define @t21 () (_ @t20 @t17)) % 0.17/0.41 (define @t22 () (=> @t21 @t19)) % 0.17/0.41 (define @t23 () (_ tptp.in @t17)) % 0.17/0.41 (define @t24 () (_ @t23 @t2)) % 0.17/0.41 (define @t25 () (@list @t17)) % 0.17/0.41 (define @t26 () (forall @t25 (=> @t24 @t22))) % 0.17/0.41 (define @t27 () (=> @t8 @t26)) % 0.17/0.41 (define @t28 () (forall @t9 @t27)) % 0.17/0.41 (define @t29 () (=> @t12 @t28)) % 0.17/0.41 (define @t30 () (forall @t14 @t29)) % 0.17/0.41 (define @t31 () (= tptp.woz13rule1 @t30)) % 0.17/0.41 (define @t32 () (_ tptp.subset @t3)) % 0.17/0.41 (define @t33 () (_ @t32 @t17)) % 0.17/0.41 (define @t34 () (=> @t33 @t19)) % 0.17/0.41 (define @t35 () (forall @t25 (=> @t24 @t34))) % 0.17/0.41 (define @t36 () (=> @t8 @t35)) % 0.17/0.41 (define @t37 () (forall @t9 @t36)) % 0.17/0.41 (define @t38 () (=> @t12 @t37)) % 0.17/0.41 (define @t39 () (forall @t14 @t38)) % 0.17/0.41 (define @t40 () (= tptp.woz13rule2 @t39)) % 0.17/0.41 (define @t41 () (_ (_ tptp.binintersect @t3) @t17)) % 0.17/0.41 (define @t42 () (_ @t20 @t41)) % 0.17/0.41 (define @t43 () (=> @t21 @t42)) % 0.17/0.41 (define @t44 () (_ @t20 @t3)) % 0.17/0.41 (define @t45 () (=> @t44 @t43)) % 0.17/0.41 (define @t46 () (forall @t25 (=> @t24 @t45))) % 0.17/0.41 (define @t47 () (=> @t8 @t46)) % 0.17/0.41 (define @t48 () (forall @t9 @t47)) % 0.17/0.41 (define @t49 () (=> @t12 @t48)) % 0.17/0.41 (define @t50 () (forall @t14 @t49)) % 0.17/0.41 (define @t51 () (= tptp.woz13rule3 @t50)) % 0.17/0.41 (define @t52 () (@var "W" $$unsorted)) % 0.17/0.41 (define @t53 () (_ (_ tptp.binintersect @t17) @t52)) % 0.17/0.41 (define @t54 () (_ @t18 @t53)) % 0.17/0.41 (define @t55 () (_ @t32 @t52)) % 0.17/0.41 (define @t56 () (=> @t55 @t54)) % 0.17/0.41 (define @t57 () (=> @t21 @t56)) % 0.17/0.41 (define @t58 () (_ tptp.in @t52)) % 0.17/0.41 (define @t59 () (_ @t58 @t2)) % 0.17/0.41 (define @t60 () (@list @t52)) % 0.17/0.41 (define @t61 () (forall @t60 (=> @t59 @t57))) % 0.17/0.41 (define @t62 () (=> @t24 @t61)) % 0.17/0.41 (define @t63 () (forall @t25 @t62)) % 0.17/0.41 (define @t64 () (=> @t8 @t63)) % 0.17/0.41 (define @t65 () (forall @t9 @t64)) % 0.17/0.41 (define @t66 () (=> @t12 @t65)) % 0.17/0.41 (define @t67 () (forall @t14 @t66)) % 0.17/0.41 (define @t68 () (=> tptp.woz13rule3 @t67)) % 0.17/0.41 (define @t69 () (=> tptp.woz13rule2 @t68)) % 0.17/0.41 (define @t70 () (=> tptp.woz13rule1 @t69)) % 0.17/0.41 (define @t71 () (=> tptp.binintersectT_lem @t70)) % 0.17/0.41 (define @t72 () (not @t71)) % 0.17/0.41 (define @t73 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 0.17/0.41 (define @t74 () (@var "BOUND_VARIABLE_7787" $$unsorted)) % 0.17/0.41 (define @t75 () (@var "BOUND_VARIABLE_7785" $$unsorted)) % 0.17/0.41 (define @t76 () (tptp.subset (tptp.binintersect @t4 @t75) (tptp.binintersect @t74 @t73))) % 0.17/0.41 (define @t77 () (not (tptp.subset @t75 @t73))) % 0.17/0.41 (define @t78 () (tptp.powerset @t1)) % 0.17/0.41 (define @t79 () (not (tptp.in @t73 @t78))) % 0.17/0.41 (define @t80 () (not (tptp.subset @t4 @t74))) % 0.17/0.41 (define @t81 () (not (tptp.in @t74 @t78))) % 0.17/0.41 (define @t82 () (not (tptp.in @t75 @t78))) % 0.17/0.41 (define @t83 () (tptp.in @t4 @t78)) % 0.17/0.41 (define @t84 () (not @t83)) % 0.17/0.41 (define @t85 () (or @t84 @t82 @t81 @t80 @t79 @t77 @t76)) % 0.17/0.41 (define @t86 () (@list @t1 @t4 @t75 @t74 @t73)) % 0.17/0.41 (define @t87 () (forall @t86 @t85)) % 0.17/0.41 (define @t88 () (@var "BOUND_VARIABLE_7693" $$unsorted)) % 0.17/0.41 (define @t89 () (@var "BOUND_VARIABLE_7691" $$unsorted)) % 0.17/0.41 (define @t90 () (tptp.subset @t4 (tptp.binintersect @t89 @t88))) % 0.17/0.41 (define @t91 () (not (tptp.subset @t4 @t88))) % 0.17/0.41 (define @t92 () (not (tptp.in @t88 @t78))) % 0.17/0.41 (define @t93 () (not (tptp.subset @t4 @t89))) % 0.17/0.41 (define @t94 () (not (tptp.in @t89 @t78))) % 0.17/0.41 (define @t95 () (or @t94 @t93 @t92 @t91 @t90)) % 0.17/0.41 (define @t96 () (or @t84 @t95)) % 0.17/0.41 (define @t97 () (forall (@list @t1 @t4 @t89 @t88) @t96)) % 0.17/0.41 (define @t98 () (@list @t89 @t88)) % 0.17/0.41 (define @t99 () (forall @t98 @t96)) % 0.17/0.41 (define @t100 () (forall @t98 @t95)) % 0.17/0.41 (define @t101 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 0.17/0.41 (define @t102 () (or @t84 @t100)) % 0.17/0.41 (define @t103 () (tptp.subset @t4 (tptp.binintersect @t3 @t101))) % 0.17/0.41 (define @t104 () (not (tptp.subset @t4 @t101))) % 0.17/0.41 (define @t105 () (not (tptp.in @t101 @t78))) % 0.17/0.41 (define @t106 () (tptp.subset @t4 @t3)) % 0.17/0.41 (define @t107 () (not @t106)) % 0.17/0.41 (define @t108 () (tptp.in @t3 @t78)) % 0.17/0.41 (define @t109 () (not @t108)) % 0.17/0.41 (define @t110 () (or @t109 @t107 @t105 @t104 @t103)) % 0.17/0.41 (define @t111 () (@list @t3 @t101)) % 0.17/0.41 (define @t112 () (forall @t111 @t110)) % 0.17/0.41 (define @t113 () (not @t12)) % 0.17/0.41 (define @t114 () (or @t113 @t112)) % 0.17/0.41 (define @t115 () (or @t105 @t104 @t103)) % 0.17/0.41 (define @t116 () (or @t109 @t107 @t115)) % 0.17/0.41 (define @t117 () (forall @t111 @t116)) % 0.17/0.41 (define @t118 () (@list @t101)) % 0.17/0.41 (define @t119 () (forall @t118 @t116)) % 0.17/0.41 (define @t120 () (forall @t118 @t115)) % 0.17/0.41 (define @t121 () (@list @t17)) % 0.17/0.41 (define @t122 () (or @t109 @t107 @t120)) % 0.17/0.41 (define @t123 () (tptp.binintersect @t3 @t17)) % 0.17/0.41 (define @t124 () (tptp.subset @t4 @t123)) % 0.17/0.41 (define @t125 () (tptp.subset @t4 @t17)) % 0.17/0.41 (define @t126 () (not @t125)) % 0.17/0.41 (define @t127 () (tptp.in @t17 @t78)) % 0.17/0.41 (define @t128 () (not @t127)) % 0.17/0.41 (define @t129 () (forall @t25 (or @t128 @t126 @t124))) % 0.17/0.41 (define @t130 () (not @t44)) % 0.17/0.41 (define @t131 () (not @t8)) % 0.17/0.41 (define @t132 () (or @t131 @t130 @t129)) % 0.17/0.41 (define @t133 () (or @t130 @t129)) % 0.17/0.41 (define @t134 () (not @t21)) % 0.17/0.41 (define @t135 () (not @t24)) % 0.17/0.41 (define @t136 () (or @t135 @t134 @t42)) % 0.17/0.41 (define @t137 () (forall @t25 @t136)) % 0.17/0.41 (define @t138 () (or @t130 @t137)) % 0.17/0.41 (define @t139 () (or @t130 @t136)) % 0.17/0.41 (define @t140 () (or @t135 @t130 @t134 @t42)) % 0.17/0.41 (define @t141 () (or @t130 @t134 @t42)) % 0.17/0.41 (define @t142 () (=> tptp.woz13rule3 @t87)) % 0.17/0.41 (define @t143 () (@var "BOUND_VARIABLE_7631" $$unsorted)) % 0.17/0.41 (define @t144 () (@var "BOUND_VARIABLE_7629" $$unsorted)) % 0.17/0.41 (define @t145 () (tptp.subset (tptp.binintersect @t4 @t144) @t143)) % 0.17/0.41 (define @t146 () (not (tptp.subset @t144 @t143))) % 0.17/0.41 (define @t147 () (not (tptp.in @t143 @t78))) % 0.17/0.41 (define @t148 () (not (tptp.in @t144 @t78))) % 0.17/0.41 (define @t149 () (or @t84 @t148 @t147 @t146 @t145)) % 0.17/0.41 (define @t150 () (or @t148 @t147 @t146 @t145)) % 0.17/0.41 (define @t151 () (or @t84 @t150)) % 0.17/0.41 (define @t152 () (@list @t1 @t4 @t144 @t143)) % 0.17/0.41 (define @t153 () (forall @t152 @t151)) % 0.17/0.41 (define @t154 () (@list @t144 @t143)) % 0.17/0.41 (define @t155 () (forall @t154 @t151)) % 0.17/0.41 (define @t156 () (forall @t154 @t150)) % 0.17/0.41 (define @t157 () (@var "BOUND_VARIABLE_7610" $$unsorted)) % 0.17/0.41 (define @t158 () (or @t84 @t156)) % 0.17/0.41 (define @t159 () (tptp.binintersect @t4 @t3)) % 0.17/0.41 (define @t160 () (tptp.subset @t159 @t157)) % 0.17/0.41 (define @t161 () (not (tptp.subset @t3 @t157))) % 0.17/0.41 (define @t162 () (not (tptp.in @t157 @t78))) % 0.17/0.41 (define @t163 () (or @t109 @t162 @t161 @t160)) % 0.17/0.41 (define @t164 () (@list @t3 @t157)) % 0.17/0.41 (define @t165 () (forall @t164 @t163)) % 0.17/0.41 (define @t166 () (or @t113 @t165)) % 0.17/0.41 (define @t167 () (or @t162 @t161 @t160)) % 0.17/0.41 (define @t168 () (or @t109 @t167)) % 0.17/0.41 (define @t169 () (forall @t164 @t168)) % 0.17/0.41 (define @t170 () (@list @t157)) % 0.17/0.41 (define @t171 () (forall @t170 @t168)) % 0.17/0.41 (define @t172 () (forall @t170 @t167)) % 0.17/0.41 (define @t173 () (or @t109 @t172)) % 0.17/0.41 (define @t174 () (tptp.subset @t159 @t17)) % 0.17/0.41 (define @t175 () (tptp.subset @t3 @t17)) % 0.17/0.41 (define @t176 () (forall @t25 (or @t128 (not @t175) @t174))) % 0.17/0.41 (define @t177 () (or @t131 @t176)) % 0.17/0.41 (define @t178 () (_ tptp.subset @t159)) % 0.17/0.41 (define @t179 () (not @t33)) % 0.17/0.41 (define @t180 () (or @t135 @t179 @t19)) % 0.17/0.41 (define @t181 () (=> tptp.woz13rule2 @t142)) % 0.17/0.41 (define @t182 () (@var "BOUND_VARIABLE_7578" $$unsorted)) % 0.17/0.41 (define @t183 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 0.17/0.41 (define @t184 () (tptp.subset (tptp.binintersect @t4 @t183) @t182)) % 0.17/0.41 (define @t185 () (not (tptp.subset @t4 @t182))) % 0.17/0.41 (define @t186 () (not (tptp.in @t182 @t78))) % 0.17/0.41 (define @t187 () (not (tptp.in @t183 @t78))) % 0.17/0.41 (define @t188 () (or @t187 @t186 @t185 @t184)) % 0.17/0.41 (define @t189 () (or @t84 @t188)) % 0.17/0.41 (define @t190 () (forall (@list @t1 @t4 @t183 @t182) @t189)) % 0.17/0.41 (define @t191 () (@list @t183 @t182)) % 0.17/0.41 (define @t192 () (forall @t191 @t189)) % 0.17/0.41 (define @t193 () (forall @t191 @t188)) % 0.17/0.41 (define @t194 () (@var "BOUND_VARIABLE_7557" $$unsorted)) % 0.17/0.41 (define @t195 () (or @t84 @t193)) % 0.17/0.41 (define @t196 () (tptp.subset @t159 @t194)) % 0.17/0.41 (define @t197 () (not (tptp.subset @t4 @t194))) % 0.17/0.41 (define @t198 () (not (tptp.in @t194 @t78))) % 0.17/0.41 (define @t199 () (or @t109 @t198 @t197 @t196)) % 0.17/0.41 (define @t200 () (@list @t3 @t194)) % 0.17/0.41 (define @t201 () (forall @t200 @t199)) % 0.17/0.41 (define @t202 () (or @t113 @t201)) % 0.17/0.41 (define @t203 () (or @t198 @t197 @t196)) % 0.17/0.41 (define @t204 () (or @t109 @t203)) % 0.17/0.41 (define @t205 () (forall @t200 @t204)) % 0.17/0.41 (define @t206 () (@list @t194)) % 0.17/0.41 (define @t207 () (forall @t206 @t204)) % 0.17/0.41 (define @t208 () (forall @t206 @t203)) % 0.17/0.41 (define @t209 () (or @t109 @t208)) % 0.17/0.41 (define @t210 () (forall @t25 (or @t128 @t126 @t174))) % 0.17/0.41 (define @t211 () (or @t131 @t210)) % 0.17/0.41 (define @t212 () (or @t135 @t134 @t19)) % 0.17/0.41 (define @t213 () (=> tptp.woz13rule1 @t181)) % 0.17/0.41 (define @t214 () (@var "BOUND_VARIABLE_7522" $$unsorted)) % 0.17/0.41 (define @t215 () (tptp.in (tptp.binintersect @t4 @t214) @t78)) % 0.17/0.41 (define @t216 () (not (tptp.in @t214 @t78))) % 0.17/0.41 (define @t217 () (or @t216 @t215)) % 0.17/0.41 (define @t218 () (or @t84 @t217)) % 0.17/0.41 (define @t219 () (forall (@list @t1 @t4 @t214) @t218)) % 0.17/0.41 (define @t220 () (@list @t214)) % 0.17/0.41 (define @t221 () (forall @t220 @t218)) % 0.17/0.41 (define @t222 () (forall @t220 @t217)) % 0.17/0.41 (define @t223 () (or @t84 @t222)) % 0.17/0.41 (define @t224 () (tptp.in @t159 @t78)) % 0.17/0.41 (define @t225 () (forall @t9 (or @t109 @t224))) % 0.17/0.41 (define @t226 () (or @t113 @t225)) % 0.17/0.41 (define @t227 () (or @t131 @t6)) % 0.17/0.41 (define @t228 () (=> tptp.binintersectT_lem @t213)) % 0.17/0.41 (define @t229 () (or @t82 @t81 @t80 @t79 @t77 @t76)) % 0.17/0.41 (define @t230 () (or @t84 @t229)) % 0.17/0.41 (define @t231 () (forall @t86 @t230)) % 0.17/0.41 (define @t232 () (@list @t75 @t74 @t73)) % 0.17/0.41 (define @t233 () (forall @t232 @t230)) % 0.17/0.41 (define @t234 () (forall @t232 @t229)) % 0.17/0.41 (define @t235 () (@var "BOUND_VARIABLE_7761" $$unsorted)) % 0.17/0.41 (define @t236 () (@var "BOUND_VARIABLE_7759" $$unsorted)) % 0.17/0.41 (define @t237 () (or @t84 @t234)) % 0.17/0.41 (define @t238 () (tptp.subset @t159 (tptp.binintersect @t236 @t235))) % 0.17/0.41 (define @t239 () (not (tptp.subset @t3 @t235))) % 0.17/0.41 (define @t240 () (not (tptp.in @t235 @t78))) % 0.17/0.41 (define @t241 () (not (tptp.subset @t4 @t236))) % 0.17/0.41 (define @t242 () (not (tptp.in @t236 @t78))) % 0.17/0.41 (define @t243 () (or @t109 @t242 @t241 @t240 @t239 @t238)) % 0.17/0.41 (define @t244 () (@list @t3 @t236 @t235)) % 0.17/0.41 (define @t245 () (forall @t244 @t243)) % 0.17/0.41 (define @t246 () (or @t113 @t245)) % 0.17/0.41 (define @t247 () (or @t242 @t241 @t240 @t239 @t238)) % 0.17/0.41 (define @t248 () (or @t109 @t247)) % 0.17/0.41 (define @t249 () (forall @t244 @t248)) % 0.17/0.41 (define @t250 () (@list @t236 @t235)) % 0.17/0.41 (define @t251 () (forall @t250 @t248)) % 0.17/0.41 (define @t252 () (forall @t250 @t247)) % 0.17/0.41 (define @t253 () (@var "BOUND_VARIABLE_7739" $$unsorted)) % 0.17/0.41 (define @t254 () (or @t109 @t252)) % 0.17/0.41 (define @t255 () (tptp.subset @t159 (tptp.binintersect @t17 @t253))) % 0.17/0.41 (define @t256 () (not (tptp.subset @t3 @t253))) % 0.17/0.41 (define @t257 () (not (tptp.in @t253 @t78))) % 0.17/0.41 (define @t258 () (or @t128 @t126 @t257 @t256 @t255)) % 0.17/0.41 (define @t259 () (@list @t17 @t253)) % 0.17/0.41 (define @t260 () (forall @t259 @t258)) % 0.17/0.41 (define @t261 () (or @t131 @t260)) % 0.17/0.41 (define @t262 () (or @t257 @t256 @t255)) % 0.17/0.41 (define @t263 () (or @t128 @t126 @t262)) % 0.17/0.41 (define @t264 () (forall @t259 @t263)) % 0.17/0.41 (define @t265 () (@list @t253)) % 0.17/0.41 (define @t266 () (forall @t265 @t263)) % 0.17/0.41 (define @t267 () (forall @t265 @t262)) % 0.17/0.41 (define @t268 () (or @t128 @t126 @t267)) % 0.17/0.41 (define @t269 () (tptp.binintersect @t17 @t52)) % 0.17/0.41 (define @t270 () (tptp.subset @t159 @t269)) % 0.17/0.41 (define @t271 () (tptp.subset @t3 @t52)) % 0.17/0.41 (define @t272 () (tptp.in @t52 @t78)) % 0.17/0.41 (define @t273 () (forall @t60 (or (not @t272) (not @t271) @t270))) % 0.17/0.41 (define @t274 () (or @t135 @t134 @t273)) % 0.17/0.41 (define @t275 () (or @t134 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refl :args (@t134)) % 0.17/0.41 (step @p432 :rule nary_cong :premises (@p431 @p430) :args (@t280)) % 0.17/0.41 (step @p433 :rule quant-miniscope-or :args ((= (forall @t60 @t281) @t280))) % 0.17/0.41 (step @p434 :rule aci_norm :args ((= @t282 @t281))) % 0.17/0.41 (step @p435 :rule cong :premises (@p434) :args ((forall @t60 @t282))) % 0.17/0.41 (step @p436 :rule trans :premises (@p435 @p433)) % 0.17/0.41 (step @p437 :rule trans :premises (@p436 @p432)) % 0.17/0.41 (step @p438 :rule aci_norm :args ((= (or @t277 @t283) @t282))) % 0.17/0.41 (step @p439 :rule aci_norm :args ((= (or @t134 (or @t276 @t54)) @t283))) % 0.17/0.41 (step @p440 :rule bool-impl-elim :args (@t55 @t54)) % 0.17/0.41 (step @p441 :rule refl :args (@t134)) % 0.17/0.41 (step @p442 :rule nary_cong :premises (@p441 @p440) :args ((or @t134 @t56))) % 0.17/0.41 (step @p443 :rule trans :premises (@p442 @p439)) % 0.17/0.41 (step @p444 :rule bool-impl-elim :args (@t21 @t56)) % 0.17/0.41 (step @p445 :rule trans :premises (@p444 @p443)) % 0.17/0.41 (step @p446 :rule refl :args (@t277)) % 0.17/0.41 (step @p447 :rule nary_cong :premises (@p446 @p445) :args ((or @t277 @t57))) % 0.17/0.41 (step @p448 :rule trans :premises (@p447 @p438)) % 0.17/0.41 (step @p449 :rule bool-impl-elim :args (@t59 @t57)) % 0.17/0.41 (step @p450 :rule trans :premises (@p449 @p448)) % 0.17/0.41 (step @p451 :rule cong :premises (@p450) :args (@t61)) % 0.17/0.41 (step @p452 :rule trans :premises (@p451 @p437)) % 0.17/0.41 (step @p453 :rule refl :args (@t24)) % 0.17/0.41 (step @p454 :rule cong :premises (@p453 @p452) :args (@t62)) % 0.17/0.41 (step @p455 :rule cong :premises (@p454) :args (@t63)) % 0.17/0.41 (step @p456 :rule trans :premises (@p455 @p394)) % 0.17/0.41 (step @p457 :rule cong :premises (@p145 @p456) :args (@t64)) % 0.17/0.41 (step @p458 :rule cong :premises (@p457) :args (@t65)) % 0.17/0.41 (step @p459 :rule trans :premises (@p458 @p372)) % 0.17/0.41 (step @p460 :rule cong :premises (@p149 @p459) :args (@t66)) % 0.17/0.41 (step @p461 :rule cong :premises (@p460) :args (@t67)) % 0.17/0.41 (step @p462 :rule trans :premises (@p461 @p354)) % 0.17/0.41 (step @p463 :rule cong :premises (@p153 @p462) :args (@t68)) % 0.17/0.41 (step @p464 :rule cong :premises (@p233 @p463) :args (@t69)) % 0.17/0.41 (step @p465 :rule cong :premises (@p289 @p464) :args (@t70)) % 0.17/0.41 (step @p466 :rule cong :premises (@p332 @p465) :args (@t71)) % 0.17/0.41 (step @p467 :rule cong :premises (@p466) :args (@t72)) % 0.17/0.41 (step @p468 :rule trans :premises (@p467 @p336)) % 0.17/0.41 (step @p469 :rule eq_resolve :premises (@p5 @p468)) % 0.17/0.41 (step @p470 :rule not_implies_elim2 :premises (@p469)) % 0.17/0.41 (step @p471 :rule not_implies_elim2 :premises (@p470)) % 0.17/0.41 (step @p472 :rule not_implies_elim1 :premises (@p471)) % 0.17/0.41 (step @p473 :rule not_implies_elim2 :premises (@p471)) % 0.17/0.41 (step @p474 :rule not_implies_elim1 :premises (@p473)) % 0.17/0.41 (step @p475 :rule instantiate :premises (@p474) :args ((@list @t289 @t288 @t285 @t284))) % 0.17/0.41 (step @p476 :rule not_implies_elim1 :premises (@p469)) % 0.17/0.41 (step @p477 :rule instantiate :premises (@p476) :args ((@list @t289 @t287 @t286))) % 0.17/0.41 (step @p478 :rule not_implies_elim2 :premises (@p473)) % 0.17/0.41 (step @p479 :rule skolemize :premises (@p478)) % 0.17/0.41 (step @p480 :rule bool-double-not-elim :args (@t291)) % 0.17/0.41 (step @p481 :rule refl :args (@t304)) % 0.17/0.41 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((or @t304 (not @t301)))) % 0.17/0.41 (step @p483 :rule cnf_or_neg :args (@t304 1)) % 0.17/0.41 (step @p484 :rule eq_resolve :premises (@p483 @p482)) % 0.17/0.41 (step @p485 :rule reordering :premises (@p484) :args ((or @t291 @t304))) % 0.17/0.41 (step @p486 :rule chain_m_resolution :premises (@p485 @p479) :args (@t291 @t305 @t306)) % 0.17/0.41 (step @p487 :rule bool-double-not-elim :args (@t302)) % 0.17/0.41 (step @p488 :rule nary_cong :premises (@p481 @p487) :args ((or @t304 (not @t303)))) % 0.17/0.41 (step @p489 :rule cnf_or_neg :args (@t304 0)) % 0.17/0.41 (step @p490 :rule eq_resolve :premises (@p489 @p488)) % 0.17/0.41 (step @p491 :rule reordering :premises (@p490) :args ((or @t302 @t304))) % 0.17/0.41 (step @p492 :rule chain_m_resolution :premises (@p491 @p479) :args (@t302 @t305 @t306)) % 0.17/0.41 (step @p493 :rule cnf_or_pos :args (@t308)) % 0.17/0.41 (step @p494 :rule reordering :premises (@p493) :args ((or @t303 @t301 @t307 (not @t308)))) % 0.17/0.41 (step @p495 :rule chain_m_resolution :premises (@p494 @p492 @p486 @p477) :args (@t307 (@list false false false) (@list @t302 @t291 @t308))) % 0.17/0.41 (step @p496 :rule not_implies_elim1 :premises (@p470)) % 0.17/0.41 (step @p497 :rule instantiate :premises (@p496) :args ((@list @t289 @t287 @t286 @t285))) % 0.17/0.41 (step @p498 :rule bool-double-not-elim :args (@t297)) % 0.17/0.41 (step @p499 :rule nary_cong :premises (@p481 @p498) :args ((or @t304 (not @t298)))) % 0.17/0.41 (step @p500 :rule cnf_or_neg :args (@t304 3)) % 0.17/0.41 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 0.17/0.41 (step @p502 :rule reordering :premises (@p501) :args ((or @t297 @t304))) % 0.17/0.41 (step @p503 :rule chain_m_resolution :premises (@p502 @p479) :args (@t297 @t305 @t306)) % 0.17/0.41 (step @p504 :rule bool-double-not-elim :args (@t299)) % 0.17/0.41 (step @p505 :rule nary_cong :premises (@p481 @p504) :args ((or @t304 (not @t300)))) % 0.17/0.41 (step @p506 :rule cnf_or_neg :args (@t304 2)) % 0.17/0.41 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 0.17/0.41 (step @p508 :rule reordering :premises (@p507) :args ((or @t299 @t304))) % 0.17/0.41 (step @p509 :rule chain_m_resolution :premises (@p508 @p479) :args (@t299 @t305 @t306)) % 0.17/0.41 (step @p510 :rule cnf_or_pos :args (@t310)) % 0.17/0.41 (step @p511 :rule reordering :premises (@p510) :args ((or @t303 @t301 @t300 @t298 @t309 (not @t310)))) % 0.17/0.41 (step @p512 :rule chain_m_resolution :premises (@p511 @p492 @p486 @p509 @p503 @p497) :args (@t309 (@list false false false false false) (@list @t302 @t291 @t299 @t297 @t310))) % 0.17/0.41 (step @p513 :rule cnf_or_neg :args (@t304 6)) % 0.17/0.41 (step @p514 :rule chain_m_resolution :premises (@p513 @p479) :args ((not @t292) @t305 @t306)) % 0.17/0.41 (step @p515 :rule bool-double-not-elim :args (@t295)) % 0.17/0.41 (step @p516 :rule nary_cong :premises (@p481 @p515) :args ((or @t304 (not @t296)))) % 0.17/0.41 (step @p517 :rule cnf_or_neg :args (@t304 4)) % 0.17/0.41 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 0.17/0.41 (step @p519 :rule reordering :premises (@p518) :args ((or @t295 @t304))) % 0.17/0.41 (step @p520 :rule chain_m_resolution :premises (@p519 @p479) :args (@t295 @t305 @t306)) % 0.17/0.41 (step @p521 :rule cnf_or_pos :args (@t315)) % 0.17/0.41 (step @p522 :rule reordering :premises (@p521) :args ((or @t300 @t296 @t292 @t313 @t314 @t312 (not @t315)))) % 0.17/0.41 (step @p523 :rule chain_m_resolution :premises (@p522 @p509 @p520 @p514 @p512 @p495 @p475) :args (@t312 (@list false false true false false false) (@list @t299 @t295 @t292 @t309 @t307 @t315))) % 0.17/0.41 (step @p524 :rule bool-double-not-elim :args (@t293)) % 0.17/0.41 (step @p525 :rule nary_cong :premises (@p481 @p524) :args ((or @t304 (not @t294)))) % 0.17/0.41 (step @p526 :rule cnf_or_neg :args (@t304 5)) % 0.17/0.41 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 0.17/0.41 (step @p528 :rule reordering :premises (@p527) :args ((or @t293 @t304))) % 0.17/0.41 (step @p529 :rule chain_m_resolution :premises (@p528 @p479) :args (@t293 @t305 @t306)) % 0.17/0.41 (step @p530 :rule cnf_or_pos :args (@t316)) % 0.17/0.41 (step @p531 :rule reordering :premises (@p530) :args ((or @t303 @t301 @t296 @t294 @t311 @t317))) % 0.17/0.41 (step @p532 :rule chain_m_resolution :premises (@p531 @p492 @p486 @p520 @p529 @p523) :args (@t317 (@list false false false false true) (@list @t302 @t291 @t295 @t293 @t311))) % 0.17/0.41 (assume-push @p539 @t318) % 0.17/0.41 (step @p534 :rule instantiate :premises (@p472) :args ((@list @t289 @t287 @t286 @t284))) % 0.17/0.41 (step-pop @p540 :rule scope :premises (@p534)) % 0.17/0.41 (step @p535 :rule process_scope :premises (@p540) :args (@t316)) % 0.17/0.41 (step @p537 :rule implies_elim :premises (@p535)) % 0.17/0.41 (step @p538 false :rule chain_m_resolution :premises (@p537 @p532 @p472) :args (false (@list true false) (@list @t316 @t318))) % 0.17/0.41 ) % 0.17/0.41 % SZS output end Proof % 0.17/0.42 % cvc5 exiting %------------------------------------------------------------------------------