%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU757^2 : 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 : n001.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 08:53:04 AM UTC 2026 % Result : Theorem 0.52s 0.74s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU757^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:51:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TH0 % 0.52/0.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.74 % SZS status Theorem % 0.52/0.74 % SZS output start Proof % 0.52/0.74 ( % 0.52/0.74 (declare-sort $$unsorted 0) % 0.52/0.74 (declare-const tptp.demorgan2b Bool) % 0.52/0.74 (declare-const tptp.setextT Bool) % 0.52/0.74 (declare-const tptp.complementT_lem Bool) % 0.52/0.74 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.demorgan2a Bool) % 0.52/0.74 (declare-const tptp.binunionT_lem Bool) % 0.52/0.74 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.binintersectT_lem Bool) % 0.52/0.74 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.52/0.74 (define @t1 () (@var "A" $$unsorted)) % 0.52/0.74 (define @t2 () (_ tptp.powerset @t1)) % 0.52/0.74 (define @t3 () (@var "Y" $$unsorted)) % 0.52/0.74 (define @t4 () (@var "X" $$unsorted)) % 0.52/0.74 (define @t5 () (_ (_ tptp.binintersect @t4) @t3)) % 0.52/0.74 (define @t6 () (_ (_ tptp.in @t5) @t2)) % 0.52/0.74 (define @t7 () (_ tptp.in @t3)) % 0.52/0.74 (define @t8 () (_ @t7 @t2)) % 0.52/0.74 (define @t9 () (@list @t3)) % 0.52/0.74 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.52/0.74 (define @t11 () (_ tptp.in @t4)) % 0.52/0.74 (define @t12 () (_ @t11 @t2)) % 0.52/0.74 (define @t13 () (=> @t12 @t10)) % 0.52/0.74 (define @t14 () (@list @t1 @t4)) % 0.52/0.74 (define @t15 () (forall @t14 @t13)) % 0.52/0.74 (define @t16 () (= tptp.binintersectT_lem @t15)) % 0.52/0.74 (define @t17 () (_ (_ tptp.binunion @t4) @t3)) % 0.52/0.74 (define @t18 () (_ (_ tptp.in @t17) @t2)) % 0.52/0.74 (define @t19 () (forall @t9 (=> @t8 @t18))) % 0.52/0.74 (define @t20 () (=> @t12 @t19)) % 0.52/0.74 (define @t21 () (forall @t14 @t20)) % 0.52/0.74 (define @t22 () (= tptp.binunionT_lem @t21)) % 0.52/0.74 (define @t23 () (_ tptp.setminus @t1)) % 0.52/0.74 (define @t24 () (_ @t23 @t4)) % 0.52/0.74 (define @t25 () (_ (_ tptp.in @t24) @t2)) % 0.52/0.74 (define @t26 () (forall @t14 (=> @t12 @t25))) % 0.52/0.74 (define @t27 () (= tptp.complementT_lem @t26)) % 0.52/0.74 (define @t28 () (= @t4 @t3)) % 0.52/0.74 (define @t29 () (@var "Xx" $$unsorted)) % 0.52/0.74 (define @t30 () (_ tptp.in @t29)) % 0.52/0.74 (define @t31 () (_ @t30 @t4)) % 0.52/0.74 (define @t32 () (_ @t30 @t3)) % 0.52/0.74 (define @t33 () (=> @t32 @t31)) % 0.52/0.74 (define @t34 () (_ @t30 @t1)) % 0.52/0.74 (define @t35 () (@list @t29)) % 0.52/0.74 (define @t36 () (forall @t35 (=> @t34 @t33))) % 0.52/0.74 (define @t37 () (=> @t36 @t28)) % 0.52/0.74 (define @t38 () (=> @t31 @t32)) % 0.52/0.74 (define @t39 () (forall @t35 (=> @t34 @t38))) % 0.52/0.74 (define @t40 () (=> @t39 @t37)) % 0.52/0.74 (define @t41 () (=> @t8 @t40)) % 0.52/0.74 (define @t42 () (forall @t9 @t41)) % 0.52/0.74 (define @t43 () (=> @t12 @t42)) % 0.52/0.74 (define @t44 () (forall @t14 @t43)) % 0.52/0.74 (define @t45 () (= tptp.setextT @t44)) % 0.52/0.74 (define @t46 () (_ @t23 @t3)) % 0.52/0.74 (define @t47 () (_ (_ tptp.binintersect @t24) @t46)) % 0.52/0.74 (define @t48 () (_ @t30 @t47)) % 0.52/0.74 (define @t49 () (_ @t23 @t17)) % 0.52/0.74 (define @t50 () (_ @t30 @t49)) % 0.52/0.74 (define @t51 () (=> @t50 @t48)) % 0.52/0.74 (define @t52 () (forall @t35 (=> @t34 @t51))) % 0.52/0.74 (define @t53 () (=> @t8 @t52)) % 0.52/0.74 (define @t54 () (forall @t9 @t53)) % 0.52/0.74 (define @t55 () (=> @t12 @t54)) % 0.52/0.74 (define @t56 () (forall @t14 @t55)) % 0.52/0.74 (define @t57 () (= tptp.demorgan2a @t56)) % 0.52/0.74 (define @t58 () (=> @t48 @t50)) % 0.52/0.74 (define @t59 () (forall @t35 (=> @t34 @t58))) % 0.52/0.74 (define @t60 () (=> @t8 @t59)) % 0.52/0.74 (define @t61 () (forall @t9 @t60)) % 0.52/0.74 (define @t62 () (=> @t12 @t61)) % 0.52/0.74 (define @t63 () (forall @t14 @t62)) % 0.52/0.74 (define @t64 () (= tptp.demorgan2b @t63)) % 0.52/0.74 (define @t65 () (= @t49 @t47)) % 0.52/0.74 (define @t66 () (forall @t9 (=> @t8 @t65))) % 0.52/0.74 (define @t67 () (=> @t12 @t66)) % 0.52/0.74 (define @t68 () (forall @t14 @t67)) % 0.52/0.74 (define @t69 () (=> tptp.demorgan2b @t68)) % 0.52/0.74 (define @t70 () (=> tptp.demorgan2a @t69)) % 0.52/0.74 (define @t71 () (=> tptp.setextT @t70)) % 0.52/0.74 (define @t72 () (=> tptp.complementT_lem @t71)) % 0.52/0.74 (define @t73 () (=> tptp.binunionT_lem @t72)) % 0.52/0.74 (define @t74 () (=> tptp.binintersectT_lem @t73)) % 0.52/0.74 (define @t75 () (not @t74)) % 0.52/0.74 (define @t76 () (@var "BOUND_VARIABLE_7774" $$unsorted)) % 0.52/0.74 (define @t77 () (tptp.setminus @t1 @t4)) % 0.52/0.74 (define @t78 () (= (tptp.setminus @t1 (tptp.binunion @t4 @t76)) (tptp.binintersect @t77 (tptp.setminus @t1 @t76)))) % 0.52/0.74 (define @t79 () (tptp.powerset @t1)) % 0.52/0.74 (define @t80 () (not (tptp.in @t76 @t79))) % 0.52/0.74 (define @t81 () (tptp.in @t4 @t79)) % 0.52/0.74 (define @t82 () (not @t81)) % 0.52/0.74 (define @t83 () (or @t82 @t80 @t78)) % 0.52/0.74 (define @t84 () (@list @t1 @t4 @t76)) % 0.52/0.74 (define @t85 () (forall @t84 @t83)) % 0.52/0.74 (define @t86 () (@var "BOUND_VARIABLE_7740" $$unsorted)) % 0.52/0.74 (define @t87 () (@var "BOUND_VARIABLE_7742" $$unsorted)) % 0.52/0.74 (define @t88 () (tptp.in @t87 (tptp.setminus @t1 (tptp.binunion @t4 @t86)))) % 0.52/0.74 (define @t89 () (not (tptp.in @t87 (tptp.binintersect @t77 (tptp.setminus @t1 @t86))))) % 0.52/0.74 (define @t90 () (not (tptp.in @t87 @t1))) % 0.52/0.74 (define @t91 () (not (tptp.in @t86 @t79))) % 0.52/0.74 (define @t92 () (or @t82 @t91 @t90 @t89 @t88)) % 0.52/0.74 (define @t93 () (or @t91 @t90 @t89 @t88)) % 0.52/0.74 (define @t94 () (or @t82 @t93)) % 0.52/0.74 (define @t95 () (@list @t1 @t4 @t86 @t87)) % 0.52/0.74 (define @t96 () (forall @t95 @t94)) % 0.52/0.74 (define @t97 () (@list @t86 @t87)) % 0.52/0.74 (define @t98 () (forall @t97 @t94)) % 0.52/0.74 (define @t99 () (forall @t97 @t93)) % 0.52/0.74 (define @t100 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 0.52/0.74 (define @t101 () (or @t82 @t99)) % 0.52/0.74 (define @t102 () (tptp.binunion @t4 @t3)) % 0.52/0.74 (define @t103 () (tptp.setminus @t1 @t102)) % 0.52/0.74 (define @t104 () (tptp.in @t100 @t103)) % 0.52/0.74 (define @t105 () (tptp.setminus @t1 @t3)) % 0.52/0.74 (define @t106 () (tptp.binintersect @t77 @t105)) % 0.52/0.74 (define @t107 () (not (tptp.in @t100 @t106))) % 0.52/0.74 (define @t108 () (not (tptp.in @t100 @t1))) % 0.52/0.74 (define @t109 () (tptp.in @t3 @t79)) % 0.52/0.74 (define @t110 () (not @t109)) % 0.52/0.74 (define @t111 () (or @t110 @t108 @t107 @t104)) % 0.52/0.74 (define @t112 () (@list @t3 @t100)) % 0.52/0.74 (define @t113 () (forall @t112 @t111)) % 0.52/0.74 (define @t114 () (not @t12)) % 0.52/0.74 (define @t115 () (or @t114 @t113)) % 0.52/0.74 (define @t116 () (or @t108 @t107 @t104)) % 0.52/0.74 (define @t117 () (or @t110 @t116)) % 0.52/0.74 (define @t118 () (forall @t112 @t117)) % 0.52/0.74 (define @t119 () (@list @t100)) % 0.52/0.74 (define @t120 () (forall @t119 @t117)) % 0.52/0.74 (define @t121 () (forall @t119 @t116)) % 0.52/0.74 (define @t122 () (@list @t29)) % 0.52/0.74 (define @t123 () (or @t110 @t121)) % 0.52/0.74 (define @t124 () (tptp.in @t29 @t103)) % 0.52/0.74 (define @t125 () (tptp.in @t29 @t106)) % 0.52/0.74 (define @t126 () (tptp.in @t29 @t1)) % 0.52/0.74 (define @t127 () (not @t126)) % 0.52/0.74 (define @t128 () (forall @t35 (or @t127 (not @t125) @t124))) % 0.52/0.74 (define @t129 () (not @t8)) % 0.52/0.74 (define @t130 () (or @t129 @t128)) % 0.52/0.74 (define @t131 () (not @t48)) % 0.52/0.74 (define @t132 () (not @t34)) % 0.52/0.74 (define @t133 () (or @t132 @t131 @t50)) % 0.52/0.74 (define @t134 () (=> tptp.demorgan2b @t85)) % 0.52/0.74 (define @t135 () (@var "BOUND_VARIABLE_7685" $$unsorted)) % 0.52/0.74 (define @t136 () (@var "BOUND_VARIABLE_7687" $$unsorted)) % 0.52/0.74 (define @t137 () (tptp.in @t136 (tptp.binintersect @t77 (tptp.setminus @t1 @t135)))) % 0.52/0.74 (define @t138 () (not (tptp.in @t136 (tptp.setminus @t1 (tptp.binunion @t4 @t135))))) % 0.52/0.74 (define @t139 () (not (tptp.in @t136 @t1))) % 0.52/0.74 (define @t140 () (not (tptp.in @t135 @t79))) % 0.52/0.74 (define @t141 () (or @t140 @t139 @t138 @t137)) % 0.52/0.74 (define @t142 () (or @t82 @t141)) % 0.52/0.74 (define @t143 () (forall (@list @t1 @t4 @t135 @t136) @t142)) % 0.52/0.74 (define @t144 () (@list @t135 @t136)) % 0.52/0.74 (define @t145 () (forall @t144 @t142)) % 0.52/0.74 (define @t146 () (forall @t144 @t141)) % 0.52/0.74 (define @t147 () (@var "BOUND_VARIABLE_7666" $$unsorted)) % 0.52/0.74 (define @t148 () (or @t82 @t146)) % 0.52/0.74 (define @t149 () (tptp.in @t147 @t106)) % 0.52/0.74 (define @t150 () (not (tptp.in @t147 @t103))) % 0.52/0.74 (define @t151 () (not (tptp.in @t147 @t1))) % 0.52/0.74 (define @t152 () (or @t110 @t151 @t150 @t149)) % 0.52/0.74 (define @t153 () (@list @t3 @t147)) % 0.52/0.74 (define @t154 () (forall @t153 @t152)) % 0.52/0.74 (define @t155 () (or @t114 @t154)) % 0.52/0.74 (define @t156 () (or @t151 @t150 @t149)) % 0.52/0.74 (define @t157 () (or @t110 @t156)) % 0.52/0.74 (define @t158 () (forall @t153 @t157)) % 0.52/0.74 (define @t159 () (@list @t147)) % 0.52/0.74 (define @t160 () (forall @t159 @t157)) % 0.52/0.74 (define @t161 () (forall @t159 @t156)) % 0.52/0.74 (define @t162 () (or @t110 @t161)) % 0.52/0.74 (define @t163 () (forall @t35 (or @t127 (not @t124) @t125))) % 0.52/0.74 (define @t164 () (or @t129 @t163)) % 0.52/0.74 (define @t165 () (not @t50)) % 0.52/0.74 (define @t166 () (or @t132 @t165 @t48)) % 0.52/0.74 (define @t167 () (=> tptp.demorgan2a @t134)) % 0.52/0.74 (define @t168 () (@var "BOUND_VARIABLE_7622" $$unsorted)) % 0.52/0.74 (define @t169 () (= @t4 @t168)) % 0.52/0.74 (define @t170 () (tptp.in @t29 @t4)) % 0.52/0.74 (define @t171 () (tptp.in @t29 @t168)) % 0.52/0.74 (define @t172 () (not (forall @t35 (or @t127 (not @t171) @t170)))) % 0.52/0.74 (define @t173 () (not @t170)) % 0.52/0.74 (define @t174 () (not (forall @t35 (or @t127 @t173 @t171)))) % 0.52/0.74 (define @t175 () (not (tptp.in @t168 @t79))) % 0.52/0.74 (define @t176 () (or @t175 @t174 @t172 @t169)) % 0.52/0.74 (define @t177 () (or @t82 @t176)) % 0.52/0.74 (define @t178 () (forall (@list @t1 @t4 @t168) @t177)) % 0.52/0.74 (define @t179 () (@list @t168)) % 0.52/0.74 (define @t180 () (forall @t179 @t177)) % 0.52/0.74 (define @t181 () (forall @t179 @t176)) % 0.52/0.74 (define @t182 () (@list @t3)) % 0.52/0.74 (define @t183 () (or @t82 @t181)) % 0.52/0.74 (define @t184 () (tptp.in @t29 @t3)) % 0.52/0.74 (define @t185 () (forall @t35 (or @t127 (not @t184) @t170))) % 0.52/0.74 (define @t186 () (not @t185)) % 0.52/0.74 (define @t187 () (forall @t35 (or @t127 @t173 @t184))) % 0.52/0.74 (define @t188 () (not @t187)) % 0.52/0.74 (define @t189 () (forall @t9 (or @t110 @t188 @t186 @t28))) % 0.52/0.74 (define @t190 () (or @t114 @t189)) % 0.52/0.74 (define @t191 () (or @t129 @t188 @t186 @t28)) % 0.52/0.74 (define @t192 () (or @t188 @t186 @t28)) % 0.52/0.74 (define @t193 () (=> @t185 @t28)) % 0.52/0.74 (define @t194 () (=> @t187 @t193)) % 0.52/0.74 (define @t195 () (not @t32)) % 0.52/0.74 (define @t196 () (or @t132 @t195 @t31)) % 0.52/0.74 (define @t197 () (not @t31)) % 0.52/0.74 (define @t198 () (or @t132 @t197 @t32)) % 0.52/0.74 (define @t199 () (=> tptp.setextT @t167)) % 0.52/0.74 (define @t200 () (tptp.in @t77 @t79)) % 0.52/0.74 (define @t201 () (or @t114 @t25)) % 0.52/0.74 (define @t202 () (=> tptp.complementT_lem @t199)) % 0.52/0.74 (define @t203 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.52/0.74 (define @t204 () (tptp.in (tptp.binunion @t4 @t203) @t79)) % 0.52/0.74 (define @t205 () (not (tptp.in @t203 @t79))) % 0.52/0.74 (define @t206 () (or @t205 @t204)) % 0.52/0.74 (define @t207 () (or @t82 @t206)) % 0.52/0.74 (define @t208 () (forall (@list @t1 @t4 @t203) @t207)) % 0.52/0.74 (define @t209 () (@list @t203)) % 0.52/0.74 (define @t210 () (forall @t209 @t207)) % 0.52/0.74 (define @t211 () (forall @t209 @t206)) % 0.52/0.74 (define @t212 () (or @t82 @t211)) % 0.52/0.74 (define @t213 () (tptp.in @t102 @t79)) % 0.52/0.74 (define @t214 () (forall @t9 (or @t110 @t213))) % 0.52/0.74 (define @t215 () (or @t114 @t214)) % 0.52/0.74 (define @t216 () (or @t129 @t18)) % 0.52/0.74 (define @t217 () (=> tptp.binunionT_lem @t202)) % 0.52/0.74 (define @t218 () (@var "BOUND_VARIABLE_7533" $$unsorted)) % 0.52/0.74 (define @t219 () (tptp.in (tptp.binintersect @t4 @t218) @t79)) % 0.52/0.74 (define @t220 () (not (tptp.in @t218 @t79))) % 0.52/0.74 (define @t221 () (or @t220 @t219)) % 0.52/0.74 (define @t222 () (or @t82 @t221)) % 0.52/0.74 (define @t223 () (forall (@list @t1 @t4 @t218) @t222)) % 0.52/0.74 (define @t224 () (@list @t218)) % 0.52/0.74 (define @t225 () (forall @t224 @t222)) % 0.52/0.74 (define @t226 () (forall @t224 @t221)) % 0.52/0.74 (define @t227 () (or @t82 @t226)) % 0.52/0.74 (define @t228 () (tptp.binintersect @t4 @t3)) % 0.52/0.74 (define @t229 () (tptp.in @t228 @t79)) % 0.52/0.74 (define @t230 () (forall @t9 (or @t110 @t229))) % 0.52/0.74 (define @t231 () (or @t114 @t230)) % 0.52/0.74 (define @t232 () (or @t129 @t6)) % 0.52/0.74 (define @t233 () (=> tptp.binintersectT_lem @t217)) % 0.52/0.74 (define @t234 () (or @t80 @t78)) % 0.52/0.74 (define @t235 () (or @t82 @t234)) % 0.52/0.74 (define @t236 () (forall @t84 @t235)) % 0.52/0.74 (define @t237 () (@list @t76)) % 0.52/0.74 (define @t238 () (forall @t237 @t235)) % 0.52/0.74 (define @t239 () (forall @t237 @t234)) % 0.52/0.74 (define @t240 () (or @t82 @t239)) % 0.52/0.74 (define @t241 () (forall @t9 (or @t110 (= @t103 @t106)))) % 0.52/0.74 (define @t242 () (or @t114 @t241)) % 0.52/0.74 (define @t243 () (or @t129 @t65)) % 0.52/0.74 (define @t244 () (@quantifiers_skolemize @t85 2)) % 0.52/0.74 (define @t245 () (@quantifiers_skolemize @t85 0)) % 0.52/0.74 (define @t246 () (tptp.setminus @t245 @t244)) % 0.52/0.74 (define @t247 () (@quantifiers_skolemize @t85 1)) % 0.52/0.74 (define @t248 () (tptp.setminus @t245 @t247)) % 0.52/0.74 (define @t249 () (tptp.binintersect @t248 @t246)) % 0.52/0.74 (define @t250 () (tptp.binunion @t247 @t244)) % 0.52/0.74 (define @t251 () (tptp.setminus @t245 @t250)) % 0.52/0.74 (define @t252 () (tptp.in @t29 @t249)) % 0.52/0.74 (define @t253 () (tptp.in @t29 @t251)) % 0.52/0.74 (define @t254 () (not (tptp.in @t29 @t245))) % 0.52/0.74 (define @t255 () (forall @t35 (or @t254 (not @t253) @t252))) % 0.52/0.74 (define @t256 () (@quantifiers_skolemize @t255 0)) % 0.52/0.74 (define @t257 () (tptp.in @t256 @t245)) % 0.52/0.74 (define @t258 () (tptp.in @t256 @t249)) % 0.52/0.74 (define @t259 () (tptp.in @t256 @t251)) % 0.52/0.74 (define @t260 () (not @t259)) % 0.52/0.74 (define @t261 () (not @t257)) % 0.52/0.74 (define @t262 () (or @t261 @t260 @t258)) % 0.52/0.74 (define @t263 () (tptp.powerset @t245)) % 0.52/0.74 (define @t264 () (tptp.in @t247 @t263)) % 0.52/0.74 (define @t265 () (= @t251 @t249)) % 0.52/0.74 (define @t266 () (tptp.in @t244 @t263)) % 0.52/0.74 (define @t267 () (not @t266)) % 0.52/0.74 (define @t268 () (not @t264)) % 0.52/0.74 (define @t269 () (or @t268 @t267 @t265)) % 0.52/0.74 (define @t270 () (@list true)) % 0.52/0.74 (define @t271 () (@list @t269)) % 0.52/0.74 (define @t272 () (or @t268 @t267 @t261 @t260 @t258)) % 0.52/0.74 (define @t273 () (not @t262)) % 0.52/0.74 (define @t274 () (not @t255)) % 0.52/0.74 (define @t275 () (tptp.in @t246 @t263)) % 0.52/0.74 (define @t276 () (or @t267 @t275)) % 0.52/0.74 (define @t277 () (@list false false)) % 0.52/0.74 (define @t278 () (tptp.in @t248 @t263)) % 0.52/0.74 (define @t279 () (or @t268 @t278)) % 0.52/0.74 (define @t280 () (tptp.in @t249 @t263)) % 0.52/0.74 (define @t281 () (not @t275)) % 0.52/0.74 (define @t282 () (not @t278)) % 0.52/0.74 (define @t283 () (or @t282 @t281 @t280)) % 0.52/0.74 (define @t284 () (@list false false false)) % 0.52/0.74 (define @t285 () (tptp.in @t250 @t263)) % 0.52/0.74 (define @t286 () (or @t268 @t267 @t285)) % 0.52/0.74 (define @t287 () (tptp.in @t251 @t263)) % 0.52/0.74 (define @t288 () (not @t285)) % 0.52/0.74 (define @t289 () (or @t288 @t287)) % 0.52/0.74 (define @t290 () (forall @t35 (or @t254 (not @t252) @t253))) % 0.52/0.74 (define @t291 () (not @t290)) % 0.52/0.74 (define @t292 () (not @t280)) % 0.52/0.74 (define @t293 () (not @t287)) % 0.52/0.74 (define @t294 () (or @t293 @t292 @t274 @t291 @t265)) % 0.52/0.74 (define @t295 () (@quantifiers_skolemize @t290 0)) % 0.52/0.74 (define @t296 () (tptp.in @t295 @t251)) % 0.52/0.74 (define @t297 () (tptp.in @t295 @t249)) % 0.52/0.74 (define @t298 () (not @t297)) % 0.52/0.74 (define @t299 () (tptp.in @t295 @t245)) % 0.52/0.74 (define @t300 () (not @t299)) % 0.52/0.74 (define @t301 () (or @t300 @t298 @t296)) % 0.52/0.74 (define @t302 () (not @t301)) % 0.52/0.74 (define @t303 () (@list @t301)) % 0.52/0.74 (define @t304 () (or @t268 @t267 @t300 @t298 @t296)) % 0.52/0.74 (define @t305 () (not @t304)) % 0.52/0.74 (define @t306 () (forall @t95 @t92)) % 0.52/0.74 (assume @p1 @t16) % 0.52/0.74 (assume @p2 @t22) % 0.52/0.74 (assume @p3 @t27) % 0.52/0.74 (assume @p4 @t45) % 0.52/0.74 (assume @p5 @t57) % 0.52/0.74 (assume @p6 @t64) % 0.52/0.74 (assume @p7 @t75) % 0.52/0.74 (assume @p8 true) % 0.52/0.74 (step @p9 :rule refl :args (@t85)) % 0.52/0.74 (step @p10 :rule aci_norm :args ((= @t94 @t92))) % 0.52/0.74 (step @p11 :rule cong :premises (@p10) :args 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(step @p58 :rule trans :premises (@p57 @p48)) % 0.52/0.74 (step @p59 :rule refl :args (@t128)) % 0.52/0.74 (step @p60 :rule refl :args ((tptp.in @t3 @t2))) % 0.52/0.74 (step @p61 :rule refl :args (@t3)) % 0.52/0.74 (step @p62 :rule cong :premises (@p61 @p24) :args (@t109)) % 0.52/0.74 (step @p63 :rule trans :premises (@p62 @p60)) % 0.52/0.74 (step @p64 :rule refl :args (@t7)) % 0.52/0.74 (step @p65 :rule ho_cong :premises (@p64 @p24)) % 0.52/0.74 (step @p66 :rule cong :premises (@p65 @p63) :args ((= (_ @t7 @t79) @t109))) % 0.52/0.74 (step @p67 :rule symm :premises (@p66)) % 0.52/0.74 (step @p68 :rule refl :args (@t8)) % 0.52/0.74 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.52/0.74 (step @p70 :rule ho_cong :premises (@p64 @p37)) % 0.52/0.74 (step @p71 :rule trans :premises (@p70 @p69)) % 0.52/0.74 (step @p72 :rule cong :premises (@p71) :args (@t129)) % 0.52/0.74 (step @p73 :rule nary_cong :premises (@p72 @p59) :args (@t130)) % 0.52/0.74 (step @p74 :rule cong :premises (@p73) 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:rule bool-impl-elim :args (@t8 @t65)) % 0.52/0.74 (step @p444 :rule cong :premises (@p443) :args (@t66)) % 0.52/0.74 (step @p445 :rule trans :premises (@p444 @p442)) % 0.52/0.74 (step @p446 :rule cong :premises (@p163 @p445) :args (@t67)) % 0.52/0.74 (step @p447 :rule cong :premises (@p446) :args (@t68)) % 0.52/0.74 (step @p448 :rule trans :premises (@p447 @p439)) % 0.52/0.74 (step @p449 :rule cong :premises (@p167 @p448) :args (@t69)) % 0.52/0.74 (step @p450 :rule cong :premises (@p224 @p449) :args (@t70)) % 0.52/0.74 (step @p451 :rule cong :premises (@p306 @p450) :args (@t71)) % 0.52/0.74 (step @p452 :rule cong :premises (@p328 @p451) :args (@t72)) % 0.52/0.74 (step @p453 :rule cong :premises (@p370 @p452) :args (@t73)) % 0.52/0.74 (step @p454 :rule cong :premises (@p417 @p453) :args (@t74)) % 0.52/0.74 (step @p455 :rule cong :premises (@p454) :args (@t75)) % 0.52/0.74 (step @p456 :rule trans :premises (@p455 @p421)) % 0.52/0.74 (step @p457 :rule eq_resolve :premises (@p7 @p456)) % 0.52/0.74 (step @p458 :rule not_implies_elim2 :premises (@p457)) % 0.52/0.74 (step @p459 :rule not_implies_elim2 :premises (@p458)) % 0.52/0.74 (step @p460 :rule not_implies_elim2 :premises (@p459)) % 0.52/0.74 (step @p461 :rule not_implies_elim2 :premises (@p460)) % 0.52/0.74 (step @p462 :rule not_implies_elim2 :premises (@p461)) % 0.52/0.74 (step @p463 :rule not_implies_elim1 :premises (@p462)) % 0.52/0.74 (step @p464 :rule not_implies_elim1 :premises (@p460)) % 0.52/0.74 (step @p465 :rule instantiate :premises (@p464) :args ((@list @t245 @t251 @t249))) % 0.52/0.74 (step @p466 :rule bool-double-not-elim :args (@t257)) % 0.52/0.74 (step @p467 :rule refl :args (@t262)) % 0.52/0.74 (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or @t262 (not @t261)))) % 0.52/0.74 (step @p469 :rule cnf_or_neg :args (@t262 0)) % 0.52/0.74 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 0.52/0.74 (step @p471 :rule reordering :premises (@p470) :args ((or @t257 @t262))) % 0.52/0.74 (step @p472 :rule bool-double-not-elim :args (@t259)) % 0.52/0.74 (step @p473 :rule nary_cong :premises (@p467 @p472) :args ((or @t262 (not @t260)))) % 0.52/0.74 (step @p474 :rule cnf_or_neg :args (@t262 1)) % 0.52/0.74 (step @p475 :rule eq_resolve :premises (@p474 @p473)) % 0.52/0.74 (step @p476 :rule reordering :premises (@p475) :args ((or @t259 @t262))) % 0.52/0.74 (step @p477 :rule cnf_or_neg :args (@t262 2)) % 0.52/0.74 (step @p478 :rule not_implies_elim2 :premises (@p462)) % 0.52/0.74 (step @p479 :rule skolemize :premises (@p478)) % 0.52/0.74 (step @p480 :rule bool-double-not-elim :args (@t264)) % 0.52/0.74 (step @p481 :rule refl :args (@t269)) % 0.52/0.74 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((or @t269 (not @t268)))) % 0.52/0.74 (step @p483 :rule cnf_or_neg :args (@t269 0)) % 0.52/0.74 (step @p484 :rule eq_resolve :premises (@p483 @p482)) % 0.52/0.74 (step @p485 :rule reordering :premises (@p484) :args ((or @t264 @t269))) % 0.52/0.74 (step @p486 :rule chain_m_resolution :premises (@p485 @p479) :args (@t264 @t270 @t271)) % 0.52/0.74 (step @p487 :rule bool-double-not-elim :args (@t266)) % 0.52/0.74 (step @p488 :rule nary_cong :premises (@p481 @p487) :args ((or @t269 (not @t267)))) % 0.52/0.74 (step @p489 :rule cnf_or_neg :args (@t269 1)) % 0.52/0.74 (step @p490 :rule eq_resolve :premises (@p489 @p488)) % 0.52/0.74 (step @p491 :rule reordering :premises (@p490) :args ((or @t266 @t269))) % 0.52/0.74 (step @p492 :rule chain_m_resolution :premises (@p491 @p479) :args (@t266 @t270 @t271)) % 0.52/0.74 (step @p493 :rule not_implies_elim1 :premises (@p461)) % 0.52/0.74 (step @p494 :rule instantiate :premises (@p493) :args ((@list @t245 @t247 @t244 @t256))) % 0.52/0.74 (step @p495 :rule cnf_or_pos :args (@t272)) % 0.52/0.74 (step @p496 :rule reordering :premises (@p495) :args ((or @t268 @t267 @t261 @t260 @t258 (not @t272)))) % 0.52/0.74 (step @p497 :rule chain_m_resolution :premises (@p496 @p494 @p492 @p486 @p477 @p476 @p471) :args (@t262 (@list false false false true false false) (@list @t272 @t266 @t264 @t258 @t259 @t257))) % 0.52/0.74 (step @p498 :rule refl :args (@t273)) % 0.52/0.74 (step @p499 :rule bool-double-not-elim :args (@t255)) % 0.52/0.74 (step @p500 :rule nary_cong :premises (@p499 @p498) :args ((or (not @t274) @t273))) % 0.52/0.74 (assume-push @p570 @t274) % 0.52/0.74 (step @p502 :rule skolemize :premises (@p570)) % 0.52/0.74 (step-pop @p571 :rule scope :premises (@p502)) % 0.52/0.74 (step @p503 :rule process_scope :premises (@p571) :args (@t273)) % 0.52/0.74 (step @p505 :rule implies_elim :premises (@p503)) % 0.52/0.74 (step @p506 :rule eq_resolve :premises (@p505 @p500)) % 0.52/0.74 (step @p507 :rule chain_m_resolution :premises (@p506 @p497) :args (@t255 (@list false) (@list @t262))) % 0.52/0.74 (step @p508 :rule not_implies_elim1 :premises (@p457)) % 0.52/0.74 (step @p509 :rule instantiate :premises (@p508) :args ((@list @t245 @t248 @t246))) % 0.52/0.74 (step @p510 :rule not_implies_elim1 :premises (@p459)) % 0.52/0.74 (step @p511 :rule instantiate :premises (@p510) :args ((@list @t245 @t244))) % 0.52/0.74 (step @p512 :rule cnf_or_pos :args (@t276)) % 0.52/0.74 (step @p513 :rule reordering :premises (@p512) :args ((or @t267 @t275 (not @t276)))) % 0.52/0.74 (step @p514 :rule chain_m_resolution :premises (@p513 @p492 @p511) :args (@t275 @t277 (@list @t266 @t276))) % 0.52/0.74 (step @p515 :rule instantiate :premises (@p510) :args ((@list @t245 @t247))) % 0.52/0.74 (step @p516 :rule cnf_or_pos :args (@t279)) % 0.52/0.74 (step @p517 :rule reordering :premises (@p516) :args ((or @t268 @t278 (not @t279)))) % 0.52/0.74 (step @p518 :rule chain_m_resolution :premises (@p517 @p486 @p515) :args (@t278 @t277 (@list @t264 @t279))) % 0.52/0.74 (step @p519 :rule cnf_or_pos :args (@t283)) % 0.52/0.74 (step @p520 :rule reordering :premises (@p519) :args ((or @t282 @t281 @t280 (not @t283)))) % 0.52/0.74 (step @p521 :rule chain_m_resolution :premises (@p520 @p518 @p514 @p509) :args (@t280 @t284 (@list @t278 @t275 @t283))) % 0.52/0.74 (step @p522 :rule instantiate :premises (@p510) :args ((@list @t245 @t250))) % 0.52/0.74 (step @p523 :rule not_implies_elim1 :premises (@p458)) % 0.52/0.74 (step @p524 :rule instantiate :premises (@p523) :args ((@list @t245 @t247 @t244))) % 0.52/0.74 (step @p525 :rule cnf_or_pos :args (@t286)) % 0.52/0.74 (step @p526 :rule reordering :premises (@p525) :args ((or @t268 @t267 @t285 (not @t286)))) % 0.52/0.74 (step @p527 :rule chain_m_resolution :premises (@p526 @p486 @p492 @p524) :args (@t285 @t284 (@list @t264 @t266 @t286))) % 0.52/0.74 (step @p528 :rule cnf_or_pos :args (@t289)) % 0.52/0.74 (step @p529 :rule reordering :premises (@p528) :args ((or @t288 @t287 (not @t289)))) % 0.52/0.74 (step @p530 :rule chain_m_resolution :premises (@p529 @p527 @p522) :args (@t287 @t277 (@list @t285 @t289))) % 0.52/0.74 (step @p531 :rule cnf_or_neg :args (@t269 2)) % 0.52/0.74 (step @p532 :rule chain_m_resolution :premises (@p531 @p479) :args ((not @t265) @t270 @t271)) % 0.52/0.74 (step @p533 :rule cnf_or_pos :args (@t294)) % 0.52/0.74 (step @p534 :rule reordering :premises (@p533) :args ((or @t265 @t293 @t292 @t274 @t291 (not @t294)))) % 0.52/0.74 (step @p535 :rule chain_m_resolution :premises (@p534 @p532 @p530 @p521 @p507 @p465) :args (@t291 (@list true false false false false) (@list @t265 @t287 @t280 @t255 @t294))) % 0.52/0.74 (step @p536 :rule refl :args (@t302)) % 0.52/0.74 (step @p537 :rule bool-double-not-elim :args (@t290)) % 0.52/0.74 (step @p538 :rule nary_cong :premises (@p537 @p536) :args ((or (not @t291) @t302))) % 0.52/0.74 (assume-push @p572 @t291) % 0.52/0.74 (step @p540 :rule skolemize :premises (@p572)) % 0.52/0.74 (step-pop @p573 :rule scope :premises (@p540)) % 0.52/0.74 (step @p541 :rule process_scope :premises (@p573) :args (@t302)) % 0.52/0.74 (step @p543 :rule implies_elim :premises (@p541)) % 0.52/0.74 (step @p544 :rule eq_resolve :premises (@p543 @p538)) % 0.52/0.74 (step @p545 :rule chain_m_resolution :premises (@p544 @p535) :args (@t302 @t270 (@list @t290))) % 0.52/0.74 (step @p546 :rule cnf_or_neg :args (@t301 2)) % 0.52/0.74 (step @p547 :rule chain_m_resolution :premises (@p546 @p545) :args ((not @t296) @t270 @t303)) % 0.52/0.74 (step @p548 :rule bool-double-not-elim :args (@t297)) % 0.52/0.74 (step @p549 :rule refl :args (@t301)) % 0.52/0.74 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or @t301 (not @t298)))) % 0.52/0.74 (step @p551 :rule cnf_or_neg :args (@t301 1)) % 0.52/0.74 (step @p552 :rule eq_resolve :premises (@p551 @p550)) % 0.52/0.74 (step @p553 :rule reordering :premises (@p552) :args ((or @t297 @t301))) % 0.52/0.74 (step @p554 :rule chain_m_resolution :premises (@p553 @p545) :args (@t297 @t270 @t303)) % 0.52/0.74 (step @p555 :rule bool-double-not-elim :args (@t299)) % 0.52/0.74 (step @p556 :rule nary_cong :premises (@p549 @p555) :args ((or @t301 (not @t300)))) % 0.52/0.74 (step @p557 :rule cnf_or_neg :args (@t301 0)) % 0.52/0.74 (step @p558 :rule eq_resolve :premises (@p557 @p556)) % 0.52/0.74 (step @p559 :rule reordering :premises (@p558) :args ((or @t299 @t301))) % 0.52/0.74 (step @p560 :rule chain_m_resolution :premises (@p559 @p545) :args (@t299 @t270 @t303)) % 0.52/0.74 (step @p561 :rule cnf_or_pos :args (@t304)) % 0.52/0.74 (step @p562 :rule reordering :premises (@p561) :args ((or @t268 @t267 @t300 @t298 @t296 @t305))) % 0.52/0.74 (step @p563 :rule chain_m_resolution :premises (@p562 @p486 @p492 @p560 @p554 @p547) :args (@t305 (@list false false false false true) (@list @t264 @t266 @t299 @t297 @t296))) % 0.52/0.74 (assume-push @p574 @t306) % 0.52/0.74 (step @p565 :rule instantiate :premises (@p463) :args ((@list @t245 @t247 @t244 @t295))) % 0.52/0.74 (step-pop @p575 :rule scope :premises (@p565)) % 0.52/0.74 (step @p566 :rule process_scope :premises (@p575) :args (@t304)) % 0.52/0.74 (step @p568 :rule implies_elim :premises (@p566)) % 0.52/0.74 (step @p569 false :rule chain_m_resolution :premises (@p568 @p563 @p463) :args (false (@list true false) (@list @t304 @t306))) % 0.52/0.74 ) % 0.52/0.74 % SZS output end Proof % 0.52/0.74 % cvc5 exiting %------------------------------------------------------------------------------