%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU249+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:51:07 AM UTC 2026 % Result : Theorem 34.23s 34.42s % Output : Proof 34.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SEU249+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n024.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 11:48:00 EDT 2026 % 0.08/0.26 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 34.23/34.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.23/34.42 --- Run --no-e-matching --full-saturate-quant at 6... % 34.23/34.42 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.23/34.42 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.23/34.42 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.23/34.42 % SZS status Theorem % 34.23/34.42 % SZS output start Proof % 34.23/34.42 ( % 34.23/34.42 (declare-sort $$unsorted 0) % 34.23/34.42 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.23/34.42 (declare-const tptp.empty_set $$unsorted) % 34.23/34.42 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.23/34.42 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.23/34.42 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.23/34.42 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 34.23/34.42 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.42 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 34.23/34.42 (declare-const tptp.function (-> $$unsorted Bool)) % 34.23/34.42 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.23/34.42 (declare-const tptp.relation (-> $$unsorted Bool)) % 34.23/34.42 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 34.23/34.42 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.42 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.42 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 34.23/34.42 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.42 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.42 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.42 (define @t1 () (@var "A" $$unsorted)) % 34.23/34.42 (define @t2 () (@var "B" $$unsorted)) % 34.23/34.42 (define @t3 () (tptp.in @t1 @t2)) % 34.23/34.42 (define @t4 () (@list @t1 @t2)) % 34.23/34.42 (define @t5 () (tptp.function @t1)) % 34.23/34.42 (define @t6 () (tptp.empty @t1)) % 34.23/34.42 (define @t7 () (@list @t1)) % 34.23/34.42 (define @t8 () (tptp.relation @t1)) % 34.23/34.42 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 34.23/34.42 (define @t10 () (and @t8 @t6 @t5)) % 34.23/34.42 (define @t11 () (tptp.set_union2 @t2 @t1)) % 34.23/34.42 (define @t12 () (tptp.set_union2 @t1 @t2)) % 34.23/34.42 (define @t13 () (tptp.set_intersection2 @t1 @t2)) % 34.23/34.42 (define @t14 () (@var "D" $$unsorted)) % 34.23/34.42 (define @t15 () (tptp.in @t14 @t2)) % 34.23/34.42 (define @t16 () (tptp.in @t14 @t1)) % 34.23/34.42 (define @t17 () (@var "C" $$unsorted)) % 34.23/34.42 (define @t18 () (tptp.in @t14 @t17)) % 34.23/34.42 (define @t19 () (@list @t14)) % 34.23/34.42 (define @t20 () (forall @t19 (= @t18 (or @t16 @t15)))) % 34.23/34.42 (define @t21 () (= (= @t17 @t12) @t20)) % 34.23/34.42 (define @t22 () (@list @t1 @t2 @t17)) % 34.23/34.42 (define @t23 () (forall @t22 @t21)) % 34.23/34.42 (define @t24 () (forall @t19 (= @t18 (and @t16 @t15)))) % 34.23/34.42 (define @t25 () (= (= @t17 @t13) @t24)) % 34.23/34.42 (define @t26 () (forall @t22 @t25)) % 34.23/34.42 (define @t27 () (= (tptp.relation_field @t1) (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))) % 34.23/34.42 (define @t28 () (forall @t7 (=> @t8 @t27))) % 34.23/34.42 (define @t29 () (tptp.relation_restriction @t1 @t2)) % 34.23/34.42 (define @t30 () (@list @t2)) % 34.23/34.42 (define @t31 () (tptp.relation @t29)) % 34.23/34.42 (define @t32 () (forall @t4 (=> @t8 @t31))) % 34.23/34.42 (define @t33 () (tptp.relation_dom_restriction @t1 @t2)) % 34.23/34.42 (define @t34 () (tptp.relation @t33)) % 34.23/34.42 (define @t35 () (forall @t4 (=> @t8 @t34))) % 34.23/34.42 (define @t36 () (tptp.relation_rng_restriction @t1 @t2)) % 34.23/34.42 (define @t37 () (tptp.relation @t36)) % 34.23/34.42 (define @t38 () (tptp.relation @t2)) % 34.23/34.42 (define @t39 () (forall @t4 (=> @t38 @t37))) % 34.23/34.42 (define @t40 () (tptp.empty tptp.empty_set)) % 34.23/34.42 (define @t41 () (not @t6)) % 34.23/34.42 (define @t42 () (and @t8 @t5)) % 34.23/34.42 (define @t43 () (tptp.relation_dom @t2)) % 34.23/34.42 (define @t44 () (tptp.subset (tptp.relation_dom @t36) @t43)) % 34.23/34.42 (define @t45 () (forall @t4 (=> @t38 @t44))) % 34.23/34.42 (define @t46 () (tptp.relation_rng @t2)) % 34.23/34.42 (define @t47 () (= (tptp.relation_rng @t36) (tptp.set_intersection2 @t46 @t1))) % 34.23/34.42 (define @t48 () (forall @t4 (=> @t38 @t47))) % 34.23/34.42 (define @t49 () (tptp.relation_restriction @t2 @t1)) % 34.23/34.42 (define @t50 () (= @t49 (tptp.relation_dom_restriction @t36 @t1))) % 34.23/34.42 (define @t51 () (forall @t4 (=> @t38 @t50))) % 34.23/34.42 (define @t52 () (tptp.relation_dom_restriction @t2 @t1)) % 34.23/34.42 (define @t53 () (= @t49 (tptp.relation_rng_restriction @t1 @t52))) % 34.23/34.42 (define @t54 () (forall @t4 (=> @t38 @t53))) % 34.23/34.42 (define @t55 () (and (tptp.in @t1 (tptp.relation_field @t17)) @t3)) % 34.23/34.42 (define @t56 () (tptp.in @t1 (tptp.relation_field (tptp.relation_restriction @t17 @t2)))) % 34.23/34.42 (define @t57 () (=> @t56 @t55)) % 34.23/34.42 (define @t58 () (tptp.relation @t17)) % 34.23/34.42 (define @t59 () (forall @t22 (=> @t58 @t57))) % 34.23/34.42 (define @t60 () (not @t59)) % 34.23/34.42 (define @t61 () (tptp.element @t1 @t2)) % 34.23/34.42 (define @t62 () (tptp.set_intersection2 @t1 tptp.empty_set)) % 34.23/34.42 (define @t63 () (forall @t7 (= @t62 tptp.empty_set))) % 34.23/34.42 (define @t64 () (tptp.empty @t2)) % 34.23/34.42 (define @t65 () (or @t64 @t3)) % 34.23/34.42 (define @t66 () (forall @t4 (=> @t61 @t65))) % 34.23/34.42 (define @t67 () (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 34.23/34.42 (define @t68 () (tptp.element @t1 @t17)) % 34.23/34.42 (define @t69 () (tptp.element @t2 (tptp.powerset @t17))) % 34.23/34.42 (define @t70 () (and @t3 @t69)) % 34.23/34.42 (define @t71 () (forall @t22 (=> @t70 @t68))) % 34.23/34.42 (define @t72 () (tptp.empty @t17)) % 34.23/34.42 (define @t73 () (forall @t22 (not (and @t3 @t69 @t72)))) % 34.23/34.42 (define @t74 () (= @t1 @t2)) % 34.23/34.42 (define @t75 () (not @t74)) % 34.23/34.42 (define @t76 () (forall @t4 (not (and @t6 @t75 @t64)))) % 34.23/34.42 (define @t77 () (= (tptp.relation_dom @t52) (tptp.set_intersection2 @t43 @t1))) % 34.23/34.42 (define @t78 () (forall @t4 (=> @t38 @t77))) % 34.23/34.42 (define @t79 () (tptp.subset (tptp.relation_rng @t52) @t46)) % 34.23/34.42 (define @t80 () (forall @t4 (=> @t38 @t79))) % 34.23/34.42 (define @t81 () (= @t12 @t17)) % 34.23/34.42 (define @t82 () (not @t56)) % 34.23/34.42 (define @t83 () (not @t58)) % 34.23/34.42 (define @t84 () (or @t83 @t82 @t55)) % 34.23/34.42 (define @t85 () (forall @t22 @t84)) % 34.23/34.42 (define @t86 () (@quantifiers_skolemize @t85 1)) % 34.23/34.42 (define @t87 () (@quantifiers_skolemize @t85 2)) % 34.23/34.42 (define @t88 () (tptp.relation_restriction @t87 @t86)) % 34.23/34.42 (define @t89 () (tptp.relation_rng @t88)) % 34.23/34.42 (define @t90 () (tptp.relation_dom @t88)) % 34.23/34.42 (define @t91 () (tptp.relation_field @t88)) % 34.23/34.42 (define @t92 () (forall @t19 (= (tptp.in @t14 @t91) (or (tptp.in @t14 @t90) (tptp.in @t14 @t89))))) % 34.23/34.42 (define @t93 () (tptp.set_union2 @t90 @t89)) % 34.23/34.42 (define @t94 () (= @t91 @t93)) % 34.23/34.42 (define @t95 () (= @t92 (= @t93 @t91))) % 34.23/34.42 (define @t96 () (forall @t22 (= @t20 @t81))) % 34.23/34.42 (define @t97 () (= @t94 @t92)) % 34.23/34.42 (define @t98 () (@list false)) % 34.23/34.42 (define @t99 () (@list @t96)) % 34.23/34.42 (define @t100 () (@list @t87 @t86)) % 34.23/34.42 (define @t101 () (tptp.relation @t87)) % 34.23/34.42 (define @t102 () (@quantifiers_skolemize @t85 0)) % 34.23/34.42 (define @t103 () (tptp.in @t102 @t86)) % 34.23/34.42 (define @t104 () (tptp.relation_field @t87)) % 34.23/34.42 (define @t105 () (tptp.in @t102 @t104)) % 34.23/34.42 (define @t106 () (and @t105 @t103)) % 34.23/34.42 (define @t107 () (tptp.in @t102 @t91)) % 34.23/34.42 (define @t108 () (not @t107)) % 34.23/34.42 (define @t109 () (not @t101)) % 34.23/34.42 (define @t110 () (or @t109 @t108 @t106)) % 34.23/34.42 (define @t111 () (@list true)) % 34.23/34.42 (define @t112 () (@list @t110)) % 34.23/34.42 (define @t113 () (tptp.relation @t88)) % 34.23/34.42 (define @t114 () (or @t109 @t113)) % 34.23/34.42 (define @t115 () (@list false false)) % 34.23/34.42 (define @t116 () (not @t113)) % 34.23/34.42 (define @t117 () (or @t116 @t94)) % 34.23/34.42 (define @t118 () (@list @t102)) % 34.23/34.42 (define @t119 () (tptp.in @t102 @t89)) % 34.23/34.42 (define @t120 () (tptp.in @t102 @t90)) % 34.23/34.42 (define @t121 () (or @t120 @t119)) % 34.23/34.42 (define @t122 () (= @t107 @t121)) % 34.23/34.42 (define @t123 () (= @t13 @t17)) % 34.23/34.42 (define @t124 () (tptp.in @t14 @t86)) % 34.23/34.42 (define @t125 () (tptp.relation_rng_restriction @t86 @t87)) % 34.23/34.42 (define @t126 () (tptp.relation_dom @t125)) % 34.23/34.42 (define @t127 () (tptp.relation_dom_restriction @t125 @t86)) % 34.23/34.42 (define @t128 () (tptp.relation_dom @t127)) % 34.23/34.42 (define @t129 () (forall @t19 (= (tptp.in @t14 @t128) (and (tptp.in @t14 @t126) @t124)))) % 34.23/34.42 (define @t130 () (tptp.set_intersection2 @t126 @t86)) % 34.23/34.42 (define @t131 () (= @t128 @t130)) % 34.23/34.42 (define @t132 () (= @t129 (= @t130 @t128))) % 34.23/34.42 (define @t133 () (forall @t22 (= @t24 @t123))) % 34.23/34.42 (define @t134 () (= @t131 @t129)) % 34.23/34.42 (define @t135 () (@list @t133)) % 34.23/34.42 (define @t136 () (@list @t86 @t125)) % 34.23/34.42 (define @t137 () (@list @t86 @t87)) % 34.23/34.42 (define @t138 () (tptp.relation @t125)) % 34.23/34.42 (define @t139 () (or @t109 @t138)) % 34.23/34.42 (define @t140 () (not @t138)) % 34.23/34.42 (define @t141 () (or @t140 @t131)) % 34.23/34.42 (define @t142 () (tptp.relation_rng @t87)) % 34.23/34.42 (define @t143 () (tptp.relation_dom @t87)) % 34.23/34.42 (define @t144 () (forall @t19 (= (tptp.in @t14 @t104) (or (tptp.in @t14 @t143) (tptp.in @t14 @t142))))) % 34.23/34.42 (define @t145 () (tptp.set_union2 @t143 @t142)) % 34.23/34.42 (define @t146 () (= @t104 @t145)) % 34.23/34.42 (define @t147 () (= @t144 (= @t145 @t104))) % 34.23/34.42 (define @t148 () (= @t146 @t144)) % 34.23/34.42 (define @t149 () (or @t109 @t146)) % 34.23/34.42 (define @t150 () (tptp.in @t102 @t142)) % 34.23/34.42 (define @t151 () (tptp.in @t102 @t143)) % 34.23/34.42 (define @t152 () (or @t151 @t150)) % 34.23/34.42 (define @t153 () (tptp.relation_rng @t125)) % 34.23/34.42 (define @t154 () (tptp.powerset @t153)) % 34.23/34.42 (define @t155 () (tptp.relation_rng @t127)) % 34.23/34.42 (define @t156 () (tptp.element @t155 @t154)) % 34.23/34.42 (define @t157 () (tptp.subset @t155 @t153)) % 34.23/34.42 (define @t158 () (= @t156 @t157)) % 34.23/34.42 (define @t159 () (= @t157 @t156)) % 34.23/34.42 (define @t160 () (@list @t67)) % 34.23/34.42 (define @t161 () (or @t140 @t157)) % 34.23/34.42 (define @t162 () (= @t88 @t127)) % 34.23/34.42 (define @t163 () (or @t109 @t162)) % 34.23/34.42 (define @t164 () (tptp.element @t89 @t154)) % 34.23/34.42 (define @t165 () (not @t72)) % 34.23/34.42 (define @t166 () (not @t69)) % 34.23/34.42 (define @t167 () (not @t3)) % 34.23/34.42 (define @t168 () (tptp.empty @t153)) % 34.23/34.42 (define @t169 () (not @t168)) % 34.23/34.42 (define @t170 () (not @t164)) % 34.23/34.42 (define @t171 () (not @t119)) % 34.23/34.42 (define @t172 () (or @t171 @t170 @t169)) % 34.23/34.42 (define @t173 () (tptp.in @t102 @t155)) % 34.23/34.42 (define @t174 () (not @t162)) % 34.23/34.42 (define @t175 () (not @t173)) % 34.23/34.42 (define @t176 () (and @t162 @t175)) % 34.23/34.42 (define @t177 () (tptp.relation_dom_restriction @t87 @t86)) % 34.23/34.42 (define @t178 () (tptp.relation_rng @t177)) % 34.23/34.42 (define @t179 () (tptp.set_intersection2 @t86 @t178)) % 34.23/34.42 (define @t180 () (forall @t19 (= (tptp.in @t14 @t155) (and @t124 (tptp.in @t14 @t178))))) % 34.23/34.42 (define @t181 () (= @t180 (= @t179 @t155))) % 34.23/34.42 (define @t182 () (= @t155 @t179)) % 34.23/34.42 (define @t183 () (= @t180 @t182)) % 34.23/34.42 (define @t184 () (tptp.relation @t177)) % 34.23/34.42 (define @t185 () (or @t109 @t184)) % 34.23/34.42 (define @t186 () (tptp.relation_rng_restriction @t86 @t177)) % 34.23/34.42 (define @t187 () (= (tptp.relation_rng @t186) (tptp.set_intersection2 @t178 @t86))) % 34.23/34.42 (define @t188 () (not @t184)) % 34.23/34.42 (define @t189 () (or @t188 @t187)) % 34.23/34.42 (define @t190 () (= @t88 @t186)) % 34.23/34.42 (define @t191 () (or @t109 @t190)) % 34.23/34.42 (define @t192 () (tptp.in @t102 @t178)) % 34.23/34.42 (define @t193 () (and @t103 @t192)) % 34.23/34.42 (define @t194 () (= @t173 @t193)) % 34.23/34.42 (define @t195 () (not @t193)) % 34.23/34.42 (define @t196 () (tptp.element @t178 (tptp.powerset @t142))) % 34.23/34.42 (define @t197 () (tptp.subset @t178 @t142)) % 34.23/34.42 (define @t198 () (= @t196 @t197)) % 34.23/34.42 (define @t199 () (= @t197 @t196)) % 34.23/34.42 (define @t200 () (or @t109 @t197)) % 34.23/34.42 (define @t201 () (tptp.element @t102 @t142)) % 34.23/34.42 (define @t202 () (not @t196)) % 34.23/34.42 (define @t203 () (not @t192)) % 34.23/34.42 (define @t204 () (or @t203 @t202 @t201)) % 34.23/34.42 (define @t205 () (not @t61)) % 34.23/34.42 (define @t206 () (tptp.empty @t142)) % 34.23/34.42 (define @t207 () (not @t201)) % 34.23/34.42 (define @t208 () (or @t207 @t206 @t150)) % 34.23/34.42 (define @t209 () (not @t64)) % 34.23/34.42 (define @t210 () (not @t75)) % 34.23/34.42 (define @t211 () (or @t41 @t210 @t209)) % 34.23/34.42 (define @t212 () (not @t206)) % 34.23/34.42 (define @t213 () (= tptp.empty_set @t142)) % 34.23/34.42 (define @t214 () (not @t40)) % 34.23/34.42 (define @t215 () (or @t214 @t213 @t212)) % 34.23/34.42 (define @t216 () (tptp.set_intersection2 @t142 @t86)) % 34.23/34.42 (define @t217 () (= @t153 @t216)) % 34.23/34.42 (define @t218 () (or @t109 @t217)) % 34.23/34.42 (define @t219 () (tptp.set_intersection2 @t86 @t142)) % 34.23/34.42 (define @t220 () (= @t216 @t219)) % 34.23/34.42 (define @t221 () (not @t220)) % 34.23/34.42 (define @t222 () (= tptp.empty_set (tptp.set_intersection2 @t86 tptp.empty_set))) % 34.23/34.42 (define @t223 () (not @t222)) % 34.23/34.42 (define @t224 () (not @t213)) % 34.23/34.42 (define @t225 () (not @t217)) % 34.23/34.42 (define @t226 () (and @t40 @t222 @t213 @t220 @t217 @t169)) % 34.23/34.42 (define @t227 () (tptp.in @t102 @t128)) % 34.23/34.42 (define @t228 () (and @t162 @t120)) % 34.23/34.42 (define @t229 () (tptp.in @t102 @t126)) % 34.23/34.42 (define @t230 () (and @t229 @t103)) % 34.23/34.42 (define @t231 () (= @t227 @t230)) % 34.23/34.42 (define @t232 () (not @t227)) % 34.23/34.42 (define @t233 () (not @t230)) % 34.23/34.42 (define @t234 () (tptp.powerset tptp.empty_set)) % 34.23/34.42 (define @t235 () (tptp.element @t126 @t234)) % 34.23/34.42 (define @t236 () (not @t235)) % 34.23/34.42 (define @t237 () (not @t229)) % 34.23/34.42 (define @t238 () (or @t237 @t236 @t214)) % 34.23/34.42 (define @t239 () (tptp.element @t126 (tptp.powerset @t143))) % 34.23/34.42 (define @t240 () (tptp.subset @t126 @t143)) % 34.23/34.42 (define @t241 () (= @t239 @t240)) % 34.23/34.42 (define @t242 () (= @t240 @t239)) % 34.23/34.42 (define @t243 () (or @t109 @t240)) % 34.23/34.42 (define @t244 () (tptp.element @t102 @t143)) % 34.23/34.42 (define @t245 () (not @t239)) % 34.23/34.42 (define @t246 () (or @t237 @t245 @t244)) % 34.23/34.42 (define @t247 () (= tptp.empty_set @t143)) % 34.23/34.42 (define @t248 () (and @t247 @t239)) % 34.23/34.42 (define @t249 () (tptp.empty @t143)) % 34.23/34.42 (define @t250 () (not @t244)) % 34.23/34.42 (define @t251 () (or @t250 @t249 @t151)) % 34.23/34.42 (define @t252 () (not @t249)) % 34.23/34.42 (define @t253 () (or @t214 @t247 @t252)) % 34.23/34.42 (define @t254 () (= @t105 @t152)) % 34.23/34.42 (define @t255 () (@list true false)) % 34.23/34.42 (define @t256 () (@list @t103)) % 34.23/34.42 (define @t257 () (@list false true)) % 34.23/34.42 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 34.23/34.42 (assume @p2 (forall @t7 (=> @t6 @t5))) % 34.23/34.42 (assume @p3 (forall @t7 (=> @t10 @t9))) % 34.23/34.42 (assume @p4 (forall @t4 (= @t12 @t11))) % 34.23/34.42 (assume @p5 (forall @t4 (= @t13 (tptp.set_intersection2 @t2 @t1)))) % 34.23/34.42 (assume @p6 @t23) % 34.23/34.42 (assume @p7 @t26) % 34.23/34.42 (assume @p8 @t28) % 34.23/34.42 (assume @p9 (forall @t7 (=> @t8 (forall @t30 (= @t29 (tptp.set_intersection2 @t1 (tptp.cartesian_product2 @t2 @t2))))))) % 34.23/34.42 (assume @p10 true) % 34.23/34.42 (assume @p11 @t32) % 34.23/34.42 (assume @p12 @t35) % 34.23/34.42 (assume @p13 @t39) % 34.23/34.42 (assume @p14 (forall @t7 (exists @t30 (tptp.element @t2 @t1)))) % 34.23/34.42 (assume @p15 @t40) % 34.23/34.42 (assume @p16 (forall @t4 (=> @t41 (not (tptp.empty @t12))))) % 34.23/34.42 (assume @p17 (forall @t4 (=> @t41 (not (tptp.empty @t11))))) % 34.23/34.42 (assume @p18 (forall @t4 (=> @t42 (and @t34 (tptp.function @t33))))) % 34.23/34.42 (assume @p19 (forall @t4 (=> (and @t38 (tptp.function @t2)) (and @t37 (tptp.function @t36))))) % 34.23/34.42 (assume @p20 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 34.23/34.42 (assume @p21 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 34.23/34.42 (assume @p22 @t45) % 34.23/34.42 (assume @p23 (exists @t7 @t42)) % 34.23/34.42 (assume @p24 (exists @t7 @t6)) % 34.23/34.42 (assume @p25 (exists @t7 @t10)) % 34.23/34.42 (assume @p26 (exists @t7 @t41)) % 34.23/34.42 (assume @p27 (exists @t7 @t9)) % 34.23/34.42 (assume @p28 (forall @t4 (tptp.subset @t1 @t1))) % 34.23/34.42 (assume @p29 @t48) % 34.23/34.42 (assume @p30 @t51) % 34.23/34.42 (assume @p31 @t54) % 34.23/34.42 (assume @p32 @t60) % 34.23/34.42 (assume @p33 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 34.23/34.42 (assume @p34 (forall @t4 (=> @t3 @t61))) % 34.23/34.42 (assume @p35 @t63) % 34.23/34.42 (assume @p36 @t66) % 34.23/34.42 (assume @p37 @t67) % 34.23/34.42 (assume @p38 @t71) % 34.23/34.42 (assume @p39 @t73) % 34.23/34.42 (assume @p40 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 34.23/34.42 (assume @p41 (forall @t4 (not (and @t3 @t64)))) % 34.23/34.42 (assume @p42 @t76) % 34.23/34.42 (assume @p43 @t78) % 34.23/34.42 (assume @p44 @t80) % 34.23/34.42 (step @p45 :rule eq-symm :args (@t81 @t20)) % 34.23/34.42 (step @p46 :rule refl :args (@t20)) % 34.23/34.42 (step @p47 :rule eq-symm :args (@t17 @t12)) % 34.23/34.42 (step @p48 :rule cong :premises (@p47 @p46) :args (@t21)) % 34.23/34.42 (step @p49 :rule trans :premises (@p48 @p45)) % 34.23/34.42 (step @p50 :rule cong :premises (@p49) :args (@t23)) % 34.23/34.42 (step @p51 :rule eq_resolve :premises (@p6 @p50)) % 34.23/34.42 (step @p52 :rule eq-symm :args (@t92 @t94)) % 34.23/34.42 (step @p53 :rule eq-symm :args (@t93 @t91)) % 34.23/34.42 (step @p54 :rule refl :args (@t92)) % 34.23/34.42 (step @p55 :rule cong :premises (@p54 @p53) :args (@t95)) % 34.23/34.42 (step @p56 :rule trans :premises (@p55 @p52)) % 34.23/34.42 (step @p57 :rule refl :args (@t96)) % 34.23/34.42 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t96 @t95))) % 34.23/34.42 (assume-push @p499 @t96) % 34.23/34.42 (step @p60 :rule instantiate :premises (@p51) :args ((@list @t90 @t89 @t91))) % 34.23/34.42 (step-pop @p500 :rule scope :premises (@p60)) % 34.23/34.42 (step @p61 :rule process_scope :premises (@p500) :args (@t95)) % 34.23/34.42 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 34.23/34.42 (step @p64 :rule implies_elim :premises (@p63)) % 34.23/34.42 (step @p65 :rule chain_m_resolution :premises (@p64 @p51) :args (@t97 @t98 @t99)) % 34.23/34.42 (step @p66 :rule bool-impl-elim :args (@t8 @t27)) % 34.23/34.42 (step @p67 :rule cong :premises (@p66) :args (@t28)) % 34.23/34.42 (step @p68 :rule eq_resolve :premises (@p8 @p67)) % 34.23/34.42 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t88))) % 34.23/34.42 (step @p70 :rule bool-impl-elim :args (@t8 @t31)) % 34.23/34.42 (step @p71 :rule cong :premises (@p70) :args (@t32)) % 34.23/34.42 (step @p72 :rule eq_resolve :premises (@p11 @p71)) % 34.23/34.42 (step @p73 :rule instantiate :premises (@p72) :args (@t100)) % 34.23/34.42 (step @p74 :rule aci_norm :args ((= (or @t83 (or @t82 @t55)) @t84))) % 34.23/34.42 (step @p75 :rule bool-impl-elim :args (@t56 @t55)) % 34.23/34.42 (step @p76 :rule refl :args (@t83)) % 34.23/34.42 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t83 @t57))) % 34.23/34.42 (step @p78 :rule trans :premises (@p77 @p74)) % 34.23/34.42 (step @p79 :rule bool-impl-elim :args (@t58 @t57)) % 34.23/34.42 (step @p80 :rule trans :premises (@p79 @p78)) % 34.23/34.42 (step @p81 :rule cong :premises (@p80) :args (@t59)) % 34.23/34.42 (step @p82 :rule cong :premises (@p81) :args (@t60)) % 34.23/34.42 (step @p83 :rule eq_resolve :premises (@p32 @p82)) % 34.23/34.42 (step @p84 :rule skolemize :premises (@p83)) % 34.23/34.42 (step @p85 :rule bool-double-not-elim :args (@t101)) % 34.23/34.42 (step @p86 :rule refl :args (@t110)) % 34.23/34.42 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t110 (not @t109)))) % 34.23/34.42 (step @p88 :rule cnf_or_neg :args (@t110 0)) % 34.23/34.42 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 34.23/34.42 (step @p90 :rule reordering :premises (@p89) :args ((or @t101 @t110))) % 34.23/34.42 (step @p91 :rule chain_m_resolution :premises (@p90 @p84) :args (@t101 @t111 @t112)) % 34.23/34.42 (step @p92 :rule cnf_or_pos :args (@t114)) % 34.23/34.42 (step @p93 :rule reordering :premises (@p92) :args ((or @t109 @t113 (not @t114)))) % 34.23/34.42 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p73) :args (@t113 @t115 (@list @t101 @t114))) % 34.23/34.42 (step @p95 :rule cnf_or_pos :args (@t117)) % 34.23/34.42 (step @p96 :rule reordering :premises (@p95) :args ((or @t116 @t94 (not @t117)))) % 34.23/34.42 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p69) :args (@t94 @t115 (@list @t113 @t117))) % 34.23/34.42 (step @p98 :rule cnf_equiv_pos1 :args (@t97)) % 34.23/34.42 (step @p99 :rule reordering :premises (@p98) :args ((or (not @t94) @t92 (not @t97)))) % 34.23/34.42 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p65) :args (@t92 @t115 (@list @t94 @t97))) % 34.23/34.42 (step @p101 :rule instantiate :premises (@p100) :args (@t118)) % 34.23/34.42 (step @p102 :rule bool-double-not-elim :args (@t107)) % 34.23/34.42 (step @p103 :rule nary_cong :premises (@p86 @p102) :args ((or @t110 (not @t108)))) % 34.23/34.42 (step @p104 :rule cnf_or_neg :args (@t110 1)) % 34.23/34.42 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 34.23/34.42 (step @p106 :rule reordering :premises (@p105) :args ((or @t107 @t110))) % 34.23/34.42 (step @p107 :rule chain_m_resolution :premises (@p106 @p84) :args (@t107 @t111 @t112)) % 34.23/34.42 (step @p108 :rule cnf_equiv_pos1 :args (@t122)) % 34.23/34.42 (step @p109 :rule reordering :premises (@p108) :args ((or @t108 @t121 (not @t122)))) % 34.23/34.42 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p101) :args (@t121 @t115 (@list @t107 @t122))) % 34.23/34.42 (step @p111 :rule eq-symm :args (@t123 @t24)) % 34.23/34.42 (step @p112 :rule refl :args (@t24)) % 34.23/34.42 (step @p113 :rule eq-symm :args (@t17 @t13)) % 34.23/34.42 (step @p114 :rule cong :premises (@p113 @p112) :args (@t25)) % 34.23/34.42 (step @p115 :rule trans :premises (@p114 @p111)) % 34.23/34.42 (step @p116 :rule cong :premises (@p115) :args (@t26)) % 34.23/34.42 (step @p117 :rule eq_resolve :premises (@p7 @p116)) % 34.23/34.42 (step @p118 :rule eq-symm :args (@t129 @t131)) % 34.23/34.42 (step @p119 :rule eq-symm :args (@t130 @t128)) % 34.23/34.42 (step @p120 :rule refl :args (@t129)) % 34.23/34.42 (step @p121 :rule cong :premises (@p120 @p119) :args (@t132)) % 34.23/34.42 (step @p122 :rule trans :premises (@p121 @p118)) % 34.23/34.42 (step @p123 :rule refl :args (@t133)) % 34.23/34.42 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t133 @t132))) % 34.23/34.42 (assume-push @p501 @t133) % 34.23/34.42 (step @p126 :rule instantiate :premises (@p117) :args ((@list @t126 @t86 @t128))) % 34.23/34.42 (step-pop @p502 :rule scope :premises (@p126)) % 34.23/34.42 (step @p127 :rule process_scope :premises (@p502) :args (@t132)) % 34.23/34.42 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 34.23/34.42 (step @p130 :rule implies_elim :premises (@p129)) % 34.23/34.42 (step @p131 :rule chain_m_resolution :premises (@p130 @p117) :args (@t134 @t98 @t135)) % 34.23/34.42 (step @p132 :rule bool-impl-elim :args (@t38 @t77)) % 34.23/34.42 (step @p133 :rule cong :premises (@p132) :args (@t78)) % 34.23/34.42 (step @p134 :rule eq_resolve :premises (@p43 @p133)) % 34.23/34.42 (step @p135 :rule instantiate :premises (@p134) :args (@t136)) % 34.23/34.42 (step @p136 :rule bool-impl-elim :args (@t38 @t37)) % 34.23/34.42 (step @p137 :rule cong :premises (@p136) :args (@t39)) % 34.23/34.42 (step @p138 :rule eq_resolve :premises (@p13 @p137)) % 34.23/34.42 (step @p139 :rule instantiate :premises (@p138) :args (@t137)) % 34.23/34.42 (step @p140 :rule cnf_or_pos :args (@t139)) % 34.23/34.42 (step @p141 :rule reordering :premises (@p140) :args ((or @t109 @t138 (not @t139)))) % 34.23/34.42 (step @p142 :rule chain_m_resolution :premises (@p141 @p91 @p139) :args (@t138 @t115 (@list @t101 @t139))) % 34.23/34.42 (step @p143 :rule cnf_or_pos :args (@t141)) % 34.23/34.42 (step @p144 :rule reordering :premises (@p143) :args ((or @t140 @t131 (not @t141)))) % 34.23/34.42 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p135) :args (@t131 @t115 (@list @t138 @t141))) % 34.23/34.42 (step @p146 :rule cnf_equiv_pos1 :args (@t134)) % 34.23/34.42 (step @p147 :rule reordering :premises (@p146) :args ((or (not @t131) @t129 (not @t134)))) % 34.23/34.42 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p131) :args (@t129 @t115 (@list @t131 @t134))) % 34.23/34.42 (step @p149 :rule instantiate :premises (@p148) :args (@t118)) % 34.23/34.42 (step @p150 :rule eq-symm :args (@t144 @t146)) % 34.23/34.42 (step @p151 :rule eq-symm :args (@t145 @t104)) % 34.23/34.42 (step @p152 :rule refl :args (@t144)) % 34.23/34.42 (step @p153 :rule cong :premises (@p152 @p151) :args (@t147)) % 34.23/34.42 (step @p154 :rule trans :premises (@p153 @p150)) % 34.23/34.42 (step @p155 :rule cong :premises (@p57 @p154) :args ((=> @t96 @t147))) % 34.23/34.42 (assume-push @p503 @t96) % 34.23/34.42 (step @p157 :rule instantiate :premises (@p51) :args ((@list @t143 @t142 @t104))) % 34.23/34.42 (step-pop @p504 :rule scope :premises (@p157)) % 34.23/34.42 (step @p158 :rule process_scope :premises (@p504) :args (@t147)) % 34.23/34.42 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 34.23/34.42 (step @p161 :rule implies_elim :premises (@p160)) % 34.23/34.42 (step @p162 :rule chain_m_resolution :premises (@p161 @p51) :args (@t148 @t98 @t99)) % 34.23/34.42 (step @p163 :rule instantiate :premises (@p68) :args ((@list @t87))) % 34.23/34.42 (step @p164 :rule cnf_or_pos :args (@t149)) % 34.23/34.42 (step @p165 :rule reordering :premises (@p164) :args ((or @t109 @t146 (not @t149)))) % 34.23/34.42 (step @p166 :rule chain_m_resolution :premises (@p165 @p91 @p163) :args (@t146 @t115 (@list @t101 @t149))) % 34.23/34.42 (step @p167 :rule cnf_equiv_pos1 :args (@t148)) % 34.23/34.42 (step @p168 :rule reordering :premises (@p167) :args ((or (not @t146) @t144 (not @t148)))) % 34.23/34.42 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p162) :args (@t144 @t115 (@list @t146 @t148))) % 34.23/34.42 (step @p170 :rule instantiate :premises (@p169) :args (@t118)) % 34.23/34.42 (step @p171 :rule cnf_or_neg :args (@t152 0)) % 34.23/34.42 (step @p172 :rule cnf_or_neg :args (@t152 1)) % 34.23/34.42 (step @p173 :rule eq-symm :args (@t156 @t157)) % 34.23/34.42 (step @p174 :rule refl :args (@t67)) % 34.23/34.42 (step @p175 :rule cong :premises (@p174 @p173) :args ((=> @t67 @t158))) % 34.23/34.42 (assume-push @p505 @t67) % 34.23/34.42 (step @p177 :rule instantiate :premises (@p37) :args ((@list @t155 @t153))) % 34.23/34.42 (step-pop @p506 :rule scope :premises (@p177)) % 34.23/34.42 (step @p178 :rule process_scope :premises (@p506) :args (@t158)) % 34.23/34.42 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 34.23/34.42 (step @p181 :rule implies_elim :premises (@p180)) % 34.23/34.42 (step @p182 :rule chain_m_resolution :premises (@p181 @p37) :args (@t159 @t98 @t160)) % 34.23/34.42 (step @p183 :rule bool-impl-elim :args (@t38 @t79)) % 34.23/34.42 (step @p184 :rule cong :premises (@p183) :args (@t80)) % 34.23/34.42 (step @p185 :rule eq_resolve :premises (@p44 @p184)) % 34.23/34.42 (step @p186 :rule instantiate :premises (@p185) :args (@t136)) % 34.23/34.42 (step @p187 :rule cnf_or_pos :args (@t161)) % 34.23/34.42 (step @p188 :rule reordering :premises (@p187) :args ((or @t140 @t157 (not @t161)))) % 34.23/34.42 (step @p189 :rule chain_m_resolution :premises (@p188 @p142 @p186) :args (@t157 @t115 (@list @t138 @t161))) % 34.23/34.42 (step @p190 :rule cnf_equiv_pos1 :args (@t159)) % 34.23/34.42 (step @p191 :rule reordering :premises (@p190) :args ((or (not @t157) @t156 (not @t159)))) % 34.23/34.42 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p182) :args (@t156 @t115 (@list @t157 @t159))) % 34.23/34.42 (step @p193 :rule true_intro :premises (@p192)) % 34.23/34.42 (step @p194 :rule refl :args (@t154)) % 34.23/34.42 (step @p195 :rule bool-impl-elim :args (@t38 @t50)) % 34.23/34.42 (step @p196 :rule cong :premises (@p195) :args (@t51)) % 34.23/34.42 (step @p197 :rule eq_resolve :premises (@p30 @p196)) % 34.23/34.42 (step @p198 :rule instantiate :premises (@p197) :args (@t137)) % 34.23/34.42 (step @p199 :rule cnf_or_pos :args (@t163)) % 34.23/34.42 (step @p200 :rule reordering :premises (@p199) :args ((or @t109 @t162 (not @t163)))) % 34.23/34.42 (step @p201 :rule chain_m_resolution :premises (@p200 @p91 @p198) :args (@t162 @t115 (@list @t101 @t163))) % 34.23/34.42 (step @p202 :rule cong :premises (@p201) :args (@t89)) % 34.23/34.42 (step @p203 :rule cong :premises (@p202 @p194) :args (@t164)) % 34.23/34.42 (step @p204 :rule trans :premises (@p203 @p193)) % 34.23/34.42 (step @p205 :rule true_elim :premises (@p204)) % 34.23/34.42 (step @p206 :rule aci_norm :args ((= (or @t167 (or @t166 @t165)) (or @t167 @t166 @t165)))) % 34.23/34.42 (step @p207 :rule bool-and-de-morgan :args (@t69 @t72 true)) % 34.23/34.42 (step @p208 :rule refl :args (@t167)) % 34.23/34.42 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t167 (not (and @t69 @t72))))) % 34.23/34.42 (step @p210 :rule bool-and-de-morgan :args (@t3 @t69 (and @t72))) % 34.23/34.42 (step @p211 :rule trans :premises (@p210 @p209)) % 34.23/34.42 (step @p212 :rule trans :premises (@p211 @p206)) % 34.23/34.42 (step @p213 :rule cong :premises (@p212) :args (@t73)) % 34.23/34.42 (step @p214 :rule eq_resolve :premises (@p39 @p213)) % 34.23/34.42 (step @p215 :rule instantiate :premises (@p214) :args ((@list @t102 @t89 @t153))) % 34.23/34.42 (step @p216 :rule cnf_or_pos :args (@t172)) % 34.23/34.42 (step @p217 :rule reordering :premises (@p216) :args ((or @t171 @t169 @t170 (not @t172)))) % 34.23/34.42 (step @p218 :rule refl :args (@t171)) % 34.23/34.42 (step @p219 :rule bool-double-not-elim :args (@t173)) % 34.23/34.42 (step @p220 :rule refl :args (@t174)) % 34.23/34.42 (step @p221 :rule nary_cong :premises (@p220 @p219 @p218) :args ((or @t174 (not @t175) @t171))) % 34.23/34.42 (assume-push @p507 @t162) % 34.23/34.42 (assume-push @p508 @t175) % 34.23/34.42 (assume-push @p509 @t175) % 34.23/34.42 (assume-push @p510 @t162) % 34.23/34.42 (step @p226 :rule false_intro :premises (@p508)) % 34.23/34.42 (step @p227 :rule refl :args (@t102)) % 34.23/34.42 (step @p228 :rule cong :premises (@p227 @p202) :args (@t119)) % 34.23/34.42 (step @p229 :rule trans :premises (@p228 @p226)) % 34.23/34.42 (step @p230 :rule false_elim :premises (@p229)) % 34.23/34.42 (step-pop @p511 :rule scope :premises (@p230)) % 34.23/34.42 (step-pop @p512 :rule scope :premises (@p511)) % 34.23/34.42 (step @p231 :rule 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:rule process_scope :premises (@p552) :args (@t241)) % 34.23/34.42 (step @p437 :rule eq_resolve :premises (@p435 @p432)) % 34.23/34.42 (step @p438 :rule implies_elim :premises (@p437)) % 34.23/34.42 (step @p439 :rule chain_m_resolution :premises (@p438 @p37) :args (@t242 @t98 @t160)) % 34.23/34.42 (step @p440 :rule bool-impl-elim :args (@t38 @t44)) % 34.23/34.42 (step @p441 :rule cong :premises (@p440) :args (@t45)) % 34.23/34.42 (step @p442 :rule eq_resolve :premises (@p22 @p441)) % 34.23/34.42 (step @p443 :rule instantiate :premises (@p442) :args (@t137)) % 34.23/34.42 (step @p444 :rule cnf_or_pos :args (@t243)) % 34.23/34.42 (step @p445 :rule reordering :premises (@p444) :args ((or @t109 @t240 (not @t243)))) % 34.23/34.42 (step @p446 :rule chain_m_resolution :premises (@p445 @p91 @p443) :args (@t240 @t115 (@list @t101 @t243))) % 34.23/34.42 (step @p447 :rule cnf_equiv_pos1 :args (@t242)) % 34.23/34.42 (step @p448 :rule reordering :premises (@p447) :args ((or (not @t240) @t239 (not @t242)))) % 34.23/34.42 (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p439) :args (@t239 @t115 (@list @t240 @t242))) % 34.23/34.42 (step @p450 :rule instantiate :premises (@p313) :args ((@list @t102 @t126 @t143))) % 34.23/34.42 (step @p451 :rule cnf_or_pos :args (@t246)) % 34.23/34.42 (step @p452 :rule reordering :premises (@p451) :args ((or @t245 @t237 @t244 (not @t246)))) % 34.23/34.42 (assume-push @p553 @t247) % 34.23/34.42 (assume-push @p554 @t239) % 34.23/34.42 (assume-push @p555 @t239) % 34.23/34.42 (assume-push @p556 @t247) % 34.23/34.42 (step @p457 :rule true_intro :premises (@p449)) % 34.23/34.42 (step @p458 :rule cong :premises (@p553) :args (@t234)) % 34.23/34.42 (step @p459 :rule refl :args (@t126)) % 34.23/34.42 (step @p460 :rule cong :premises (@p459 @p458) :args (@t235)) % 34.23/34.42 (step @p461 :rule trans :premises (@p460 @p457)) % 34.23/34.42 (step @p462 :rule true_elim :premises (@p461)) % 34.23/34.42 (step-pop @p557 :rule scope :premises (@p462)) % 34.23/34.42 (step-pop @p558 :rule scope :premises (@p557)) % 34.23/34.42 (step @p463 :rule process_scope :premises (@p558) :args (@t235)) % 34.23/34.42 (step @p466 :rule and_intro :premises (@p449 @p553)) % 34.23/34.42 (step @p467 :rule modus_ponens :premises (@p466 @p463)) % 34.23/34.42 (step-pop @p559 :rule scope :premises (@p467)) % 34.23/34.42 (step-pop @p560 :rule scope :premises (@p559)) % 34.23/34.42 (step @p468 :rule process_scope :premises (@p560) :args (@t235)) % 34.23/34.42 (step @p471 :rule implies_elim :premises (@p468)) % 34.23/34.42 (step @p472 :rule cnf_and_neg :args (@t248)) % 34.23/34.42 (step @p473 :rule resolution :premises (@p472 @p471) :args (true @t248)) % 34.23/34.42 (step @p474 :rule instantiate :premises (@p321) :args ((@list @t102 @t143))) % 34.23/34.42 (step @p475 :rule cnf_or_pos :args (@t251)) % 34.23/34.42 (step @p476 :rule reordering :premises (@p475) :args ((or @t249 @t151 @t250 (not @t251)))) % 34.23/34.42 (step @p477 :rule instantiate :premises (@p337) :args ((@list tptp.empty_set @t143))) % 34.23/34.42 (step @p478 :rule cnf_or_pos :args (@t253)) % 34.23/34.42 (step @p479 :rule reordering :premises (@p478) :args ((or @t214 @t252 @t247 (not @t253)))) % 34.23/34.42 (step @p480 :rule chain_m_resolution :premises (@p479 @p477 @p15 @p476 @p474 @p473 @p449 @p452 @p450 @p449 @p430 @p428 @p15 @p427 @p425 @p149 @p423 @p201 @p403 @p110 @p401 @p172 @p171) :args (@t152 (@list false false false false true false false false false true false false false false false false false false false true true true) (@list @t253 @t40 @t249 @t251 @t247 @t239 @t244 @t246 @t239 @t235 @t238 @t40 @t229 @t230 @t231 @t227 @t162 @t120 @t121 @t119 @t150 @t151))) % 34.23/34.42 (step @p481 :rule cnf_equiv_pos2 :args (@t254)) % 34.23/34.42 (step @p482 :rule reordering :premises (@p481) :args ((or @t105 (not @t152) (not @t254)))) % 34.23/34.42 (step @p483 :rule chain_m_resolution :premises (@p482 @p480 @p170) :args (@t105 @t115 (@list @t152 @t254))) % 34.23/34.42 (step @p484 :rule cnf_or_neg :args (@t110 2)) % 34.23/34.42 (step @p485 :rule chain_m_resolution :premises (@p484 @p84) :args ((not @t106) @t111 @t112)) % 34.23/34.42 (step @p486 :rule cnf_and_neg :args (@t106)) % 34.23/34.42 (step @p487 :rule chain_m_resolution :premises (@p486 @p485 @p483) :args ((not @t103) @t255 (@list @t106 @t105))) % 34.23/34.42 (step @p488 :rule cnf_and_pos :args (@t230 1)) % 34.23/34.42 (step @p489 :rule reordering :premises (@p488) :args ((or @t103 @t233))) % 34.23/34.42 (step @p490 :rule chain_m_resolution :premises (@p489 @p487) :args (@t233 @t111 @t256)) % 34.23/34.43 (step @p491 :rule chain_m_resolution :premises (@p425 @p490 @p149) :args (@t232 @t255 (@list @t230 @t231))) % 34.23/34.43 (step @p492 :rule chain_m_resolution :premises (@p423 @p201 @p491) :args ((not @t120) @t257 (@list @t162 @t227))) % 34.23/34.43 (step @p493 :rule cnf_and_pos :args (@t193 0)) % 34.23/34.43 (step @p494 :rule reordering :premises (@p493) :args ((or @t103 @t195))) % 34.23/34.43 (step @p495 :rule chain_m_resolution :premises (@p494 @p487) :args (@t195 @t111 @t256)) % 34.23/34.43 (step @p496 :rule chain_m_resolution :premises (@p286 @p495 @p284) :args (@t175 @t255 (@list @t193 @t194))) % 34.23/34.43 (step @p497 :rule chain_m_resolution :premises (@p243 @p201 @p496) :args (@t171 @t257 (@list @t162 @t173))) % 34.23/34.43 (step @p498 false :rule chain_m_resolution :premises (@p403 @p497 @p492 @p110) :args (false (@list true true false) (@list @t119 @t120 @t121))) % 34.23/34.43 ) % 34.23/34.43 % SZS output end Proof % 34.23/34.43 % cvc5 exiting %------------------------------------------------------------------------------