%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU014+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:50:27 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU014+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:24:13 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.function (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.empty_set $$unsorted) % 0.44/0.63 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.44/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.44/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.44/0.63 (define @t3 () (tptp.in @t1 @t2)) % 0.44/0.63 (define @t4 () (@list @t1 @t2)) % 0.44/0.63 (define @t5 () (tptp.function @t1)) % 0.44/0.63 (define @t6 () (tptp.empty @t1)) % 0.44/0.63 (define @t7 () (@list @t1)) % 0.44/0.63 (define @t8 () (tptp.relation @t1)) % 0.44/0.63 (define @t9 () (@var "C" $$unsorted)) % 0.44/0.63 (define @t10 () (= @t2 @t9)) % 0.44/0.63 (define @t11 () (= (tptp.apply @t1 @t2) (tptp.apply @t1 @t9))) % 0.44/0.63 (define @t12 () (tptp.relation_dom @t1)) % 0.44/0.63 (define @t13 () (tptp.in @t9 @t12)) % 0.44/0.63 (define @t14 () (tptp.in @t2 @t12)) % 0.44/0.63 (define @t15 () (and @t14 @t13 @t11)) % 0.44/0.63 (define @t16 () (@list @t2 @t9)) % 0.44/0.63 (define @t17 () (forall @t16 (=> @t15 @t10))) % 0.44/0.63 (define @t18 () (tptp.one_to_one @t1)) % 0.44/0.63 (define @t19 () (= @t18 @t17)) % 0.44/0.63 (define @t20 () (and @t8 @t5)) % 0.44/0.63 (define @t21 () (=> @t20 @t19)) % 0.44/0.63 (define @t22 () (forall @t7 @t21)) % 0.44/0.63 (define @t23 () (tptp.relation_composition @t1 @t2)) % 0.44/0.63 (define @t24 () (tptp.relation @t23)) % 0.44/0.63 (define @t25 () (tptp.relation @t2)) % 0.44/0.63 (define @t26 () (and @t8 @t25)) % 0.44/0.63 (define @t27 () (forall @t4 (=> @t26 @t24))) % 0.44/0.63 (define @t28 () (@list @t2)) % 0.44/0.63 (define @t29 () (tptp.relation_composition @t2 @t1)) % 0.44/0.63 (define @t30 () (and @t6 @t25)) % 0.44/0.63 (define @t31 () (tptp.relation tptp.empty_set)) % 0.44/0.63 (define @t32 () (tptp.empty tptp.empty_set)) % 0.44/0.63 (define @t33 () (and @t24 (tptp.function @t23))) % 0.44/0.63 (define @t34 () (tptp.function @t2)) % 0.44/0.63 (define @t35 () (and @t8 @t5 @t25 @t34)) % 0.44/0.63 (define @t36 () (forall @t4 (=> @t35 @t33))) % 0.44/0.63 (define @t37 () (tptp.powerset @t1)) % 0.44/0.63 (define @t38 () (tptp.empty @t12)) % 0.44/0.63 (define @t39 () (not @t6)) % 0.44/0.63 (define @t40 () (and @t39 @t8)) % 0.44/0.63 (define @t41 () (tptp.relation_rng @t1)) % 0.44/0.63 (define @t42 () (tptp.empty @t41)) % 0.44/0.63 (define @t43 () (tptp.empty @t2)) % 0.44/0.63 (define @t44 () (tptp.element @t2 @t37)) % 0.44/0.63 (define @t45 () (tptp.element @t1 @t2)) % 0.44/0.63 (define @t46 () (tptp.apply @t2 @t1)) % 0.44/0.63 (define @t47 () (= (tptp.apply (tptp.relation_composition @t2 @t9) @t1) (tptp.apply @t9 @t46))) % 0.44/0.63 (define @t48 () (tptp.relation_dom @t2)) % 0.44/0.63 (define @t49 () (tptp.in @t1 @t48)) % 0.44/0.63 (define @t50 () (=> @t49 @t47)) % 0.44/0.63 (define @t51 () (tptp.function @t9)) % 0.44/0.63 (define @t52 () (tptp.relation @t9)) % 0.44/0.63 (define @t53 () (and @t52 @t51)) % 0.44/0.63 (define @t54 () (@list @t9)) % 0.44/0.63 (define @t55 () (forall @t54 (=> @t53 @t50))) % 0.44/0.63 (define @t56 () (and @t25 @t34)) % 0.44/0.63 (define @t57 () (=> @t56 @t55)) % 0.44/0.63 (define @t58 () (forall @t4 @t57)) % 0.44/0.63 (define @t59 () (tptp.relation_dom @t23)) % 0.44/0.63 (define @t60 () (tptp.subset @t41 @t48)) % 0.44/0.63 (define @t61 () (=> @t60 (= @t59 @t12))) % 0.44/0.63 (define @t62 () (=> @t25 @t61)) % 0.44/0.63 (define @t63 () (forall @t28 @t62)) % 0.44/0.63 (define @t64 () (=> @t8 @t63)) % 0.44/0.63 (define @t65 () (forall @t7 @t64)) % 0.44/0.63 (define @t66 () (tptp.one_to_one @t2)) % 0.44/0.63 (define @t67 () (tptp.subset (tptp.relation_rng @t2) @t12)) % 0.44/0.63 (define @t68 () (tptp.one_to_one @t29)) % 0.44/0.63 (define @t69 () (and @t68 @t67)) % 0.44/0.63 (define @t70 () (=> @t69 @t66)) % 0.44/0.63 (define @t71 () (forall @t28 (=> @t56 @t70))) % 0.44/0.63 (define @t72 () (=> @t20 @t71)) % 0.44/0.63 (define @t73 () (forall @t7 @t72)) % 0.44/0.63 (define @t74 () (not @t73)) % 0.44/0.63 (define @t75 () (tptp.element @t2 (tptp.powerset @t9))) % 0.44/0.63 (define @t76 () (@list @t1 @t2 @t9)) % 0.44/0.63 (define @t77 () (not @t11)) % 0.44/0.63 (define @t78 () (not @t13)) % 0.44/0.63 (define @t79 () (not @t14)) % 0.44/0.63 (define @t80 () (or @t79 @t78 @t77 @t10)) % 0.44/0.63 (define @t81 () (= @t18 (forall @t16 @t80))) % 0.44/0.63 (define @t82 () (not @t5)) % 0.44/0.63 (define @t83 () (not @t8)) % 0.44/0.63 (define @t84 () (or @t83 @t82)) % 0.44/0.63 (define @t85 () (not @t20)) % 0.44/0.63 (define @t86 () (or @t79 @t78 @t77)) % 0.44/0.63 (define @t87 () (@var "BOUND_VARIABLE_7806" $$unsorted)) % 0.44/0.63 (define @t88 () (tptp.one_to_one @t87)) % 0.44/0.63 (define @t89 () (not (tptp.subset (tptp.relation_rng @t87) @t12))) % 0.44/0.63 (define @t90 () (not (tptp.one_to_one (tptp.relation_composition @t87 @t1)))) % 0.44/0.63 (define @t91 () (not (tptp.function @t87))) % 0.44/0.63 (define @t92 () (not (tptp.relation @t87))) % 0.44/0.63 (define @t93 () (or @t83 @t82 @t92 @t91 @t90 @t89 @t88)) % 0.44/0.63 (define @t94 () (@list @t1 @t87)) % 0.44/0.63 (define @t95 () (forall @t94 @t93)) % 0.44/0.63 (define @t96 () (@quantifiers_skolemize @t95 1)) % 0.44/0.63 (define @t97 () (or @t92 @t91 @t90 @t89 @t88)) % 0.44/0.63 (define @t98 () (or @t83 @t82 @t97)) % 0.44/0.63 (define @t99 () (forall @t94 @t98)) % 0.44/0.63 (define @t100 () (@list @t87)) % 0.44/0.63 (define @t101 () (forall @t100 @t98)) % 0.44/0.63 (define @t102 () (forall @t100 @t97)) % 0.44/0.63 (define @t103 () (@list @t2)) % 0.44/0.63 (define @t104 () (or @t83 @t82 @t102)) % 0.44/0.63 (define @t105 () (not @t67)) % 0.44/0.63 (define @t106 () (not @t68)) % 0.44/0.63 (define @t107 () (not @t34)) % 0.44/0.63 (define @t108 () (not @t25)) % 0.44/0.63 (define @t109 () (or @t108 @t107 @t106 @t105 @t66)) % 0.44/0.63 (define @t110 () (forall @t28 @t109)) % 0.44/0.63 (define @t111 () (or @t83 @t82 @t110)) % 0.44/0.63 (define @t112 () (or @t106 @t105 @t66)) % 0.44/0.63 (define @t113 () (or @t108 @t107)) % 0.44/0.63 (define @t114 () (not @t56)) % 0.44/0.63 (define @t115 () (tptp.function @t96)) % 0.44/0.63 (define @t116 () (tptp.one_to_one @t96)) % 0.44/0.63 (define @t117 () (@quantifiers_skolemize @t95 0)) % 0.44/0.63 (define @t118 () (tptp.subset (tptp.relation_rng @t96) (tptp.relation_dom @t117))) % 0.44/0.63 (define @t119 () (not @t118)) % 0.44/0.63 (define @t120 () (tptp.relation_composition @t96 @t117)) % 0.44/0.63 (define @t121 () (tptp.one_to_one @t120)) % 0.44/0.63 (define @t122 () (not @t121)) % 0.44/0.63 (define @t123 () (not @t115)) % 0.44/0.63 (define @t124 () (tptp.relation @t96)) % 0.44/0.63 (define @t125 () (not @t124)) % 0.44/0.63 (define @t126 () (tptp.function @t117)) % 0.44/0.63 (define @t127 () (not @t126)) % 0.44/0.63 (define @t128 () (tptp.relation @t117)) % 0.44/0.63 (define @t129 () (not @t128)) % 0.44/0.63 (define @t130 () (or @t129 @t127 @t125 @t123 @t122 @t119 @t116)) % 0.44/0.63 (define @t131 () (@list true)) % 0.44/0.63 (define @t132 () (@list @t130)) % 0.44/0.63 (define @t133 () (tptp.relation_dom @t96)) % 0.44/0.63 (define @t134 () (forall @t16 (or (not (tptp.in @t2 @t133)) (not (tptp.in @t9 @t133)) (not (= (tptp.apply @t96 @t2) (tptp.apply @t96 @t9))) @t10))) % 0.44/0.63 (define @t135 () (= @t116 @t134)) % 0.44/0.63 (define @t136 () (or @t125 @t123 @t135)) % 0.44/0.63 (define @t137 () (@list false false false)) % 0.44/0.63 (define @t138 () (not @t134)) % 0.44/0.63 (define @t139 () (@quantifiers_skolemize @t134 1)) % 0.44/0.63 (define @t140 () (tptp.apply @t96 @t139)) % 0.44/0.63 (define @t141 () (@quantifiers_skolemize @t134 0)) % 0.44/0.63 (define @t142 () (tptp.apply @t96 @t141)) % 0.44/0.63 (define @t143 () (= @t142 @t140)) % 0.44/0.63 (define @t144 () (= @t141 @t139)) % 0.44/0.63 (define @t145 () (not @t143)) % 0.44/0.63 (define @t146 () (tptp.in @t139 @t133)) % 0.44/0.63 (define @t147 () (not @t146)) % 0.44/0.63 (define @t148 () (tptp.in @t141 @t133)) % 0.44/0.63 (define @t149 () (not @t148)) % 0.44/0.63 (define @t150 () (or @t149 @t147 @t145 @t144)) % 0.44/0.63 (define @t151 () (@list @t150)) % 0.44/0.63 (define @t152 () (or @t83 @t82 @t108 @t107)) % 0.44/0.63 (define @t153 () (@list @t96 @t117)) % 0.44/0.63 (define @t154 () (tptp.function @t120)) % 0.44/0.63 (define @t155 () (tptp.relation @t120)) % 0.44/0.63 (define @t156 () (and @t155 @t154)) % 0.44/0.63 (define @t157 () (or @t125 @t123 @t129 @t127 @t156)) % 0.44/0.63 (define @t158 () (or @t125 @t129 @t155)) % 0.44/0.63 (define @t159 () (tptp.relation_dom @t120)) % 0.44/0.63 (define @t160 () (forall @t16 (or (not (tptp.in @t2 @t159)) (not (tptp.in @t9 @t159)) (not (= (tptp.apply @t120 @t2) (tptp.apply @t120 @t9))) @t10))) % 0.44/0.63 (define @t161 () (= @t121 @t160)) % 0.44/0.63 (define @t162 () (not @t154)) % 0.44/0.63 (define @t163 () (not @t155)) % 0.44/0.63 (define @t164 () (or @t163 @t162 @t161)) % 0.44/0.63 (define @t165 () (@var "BOUND_VARIABLE_7778" $$unsorted)) % 0.44/0.63 (define @t166 () (= @t12 (tptp.relation_dom (tptp.relation_composition @t1 @t165)))) % 0.44/0.63 (define @t167 () (not (tptp.subset @t41 (tptp.relation_dom @t165)))) % 0.44/0.63 (define @t168 () (not (tptp.relation @t165))) % 0.44/0.63 (define @t169 () (or @t168 @t167 @t166)) % 0.44/0.63 (define @t170 () (or @t83 @t169)) % 0.44/0.63 (define @t171 () (forall (@list @t1 @t165) @t170)) % 0.44/0.63 (define @t172 () (@list @t165)) % 0.44/0.63 (define @t173 () (forall @t172 @t170)) % 0.44/0.63 (define @t174 () (forall @t172 @t169)) % 0.44/0.63 (define @t175 () (or @t83 @t174)) % 0.44/0.63 (define @t176 () (= @t12 @t59)) % 0.44/0.63 (define @t177 () (not @t60)) % 0.44/0.63 (define @t178 () (or @t108 @t177 @t176)) % 0.44/0.63 (define @t179 () (forall @t28 @t178)) % 0.44/0.63 (define @t180 () (=> @t60 @t176)) % 0.44/0.63 (define @t181 () (= @t133 @t159)) % 0.44/0.63 (define @t182 () (or @t125 @t129 @t119 @t181)) % 0.44/0.63 (define @t183 () (tptp.in @t139 @t159)) % 0.44/0.63 (define @t184 () (tptp.in @t141 @t159)) % 0.44/0.63 (define @t185 () (tptp.apply @t120 @t139)) % 0.44/0.63 (define @t186 () (tptp.apply @t120 @t141)) % 0.44/0.63 (define @t187 () (= @t186 @t185)) % 0.44/0.63 (define @t188 () (not @t187)) % 0.44/0.63 (define @t189 () (not @t183)) % 0.44/0.63 (define @t190 () (not @t184)) % 0.44/0.63 (define @t191 () (or @t190 @t189 @t188 @t144)) % 0.44/0.63 (define @t192 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 0.44/0.63 (define @t193 () (= (tptp.apply (tptp.relation_composition @t2 @t192) @t1) (tptp.apply @t192 @t46))) % 0.44/0.63 (define @t194 () (not (tptp.function @t192))) % 0.44/0.63 (define @t195 () (not (tptp.relation @t192))) % 0.44/0.63 (define @t196 () (not @t49)) % 0.44/0.63 (define @t197 () (or @t195 @t194 @t193)) % 0.44/0.63 (define @t198 () (or @t108 @t107 @t196 @t197)) % 0.44/0.63 (define @t199 () (forall (@list @t1 @t2 @t192) @t198)) % 0.44/0.63 (define @t200 () (@list @t192)) % 0.44/0.63 (define @t201 () (forall @t200 @t198)) % 0.44/0.63 (define @t202 () (forall @t200 @t197)) % 0.44/0.63 (define @t203 () (or @t108 @t107 @t196 @t202)) % 0.44/0.63 (define @t204 () (not @t51)) % 0.44/0.63 (define @t205 () (not @t52)) % 0.44/0.63 (define @t206 () (or @t205 @t204 @t47)) % 0.44/0.63 (define @t207 () (forall @t54 @t206)) % 0.44/0.63 (define @t208 () (or @t108 @t107 @t196 @t207)) % 0.44/0.63 (define @t209 () (or @t196 @t207)) % 0.44/0.63 (define @t210 () (or @t196 @t206)) % 0.44/0.63 (define @t211 () (or @t205 @t204 @t196 @t47)) % 0.44/0.63 (define @t212 () (= @t185 (tptp.apply @t117 @t140))) % 0.44/0.63 (define @t213 () (or @t125 @t123 @t147 @t129 @t127 @t212)) % 0.44/0.63 (define @t214 () (@list false false false false false false)) % 0.44/0.63 (define @t215 () (tptp.apply @t117 @t142)) % 0.44/0.63 (define @t216 () (= @t186 @t215)) % 0.44/0.63 (define @t217 () (or @t125 @t123 @t149 @t129 @t127 @t216)) % 0.44/0.63 (define @t218 () (not @t216)) % 0.44/0.63 (define @t219 () (not @t212)) % 0.44/0.63 (define @t220 () (and @t143 @t188 @t212)) % 0.44/0.63 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.44/0.63 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.44/0.63 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.44/0.63 (assume @p4 @t22) % 0.44/0.63 (assume @p5 @t27) % 0.44/0.63 (assume @p6 (forall @t7 (exists @t28 (tptp.element @t2 @t1)))) % 0.44/0.63 (assume @p7 (forall @t4 (=> @t30 (and (tptp.empty @t29) (tptp.relation @t29))))) % 0.44/0.63 (assume @p8 (and @t32 @t31 (tptp.relation_empty_yielding tptp.empty_set))) % 0.44/0.63 (assume @p9 @t36) % 0.44/0.63 (assume @p10 (forall @t7 (not (tptp.empty @t37)))) % 0.44/0.63 (assume @p11 @t32) % 0.44/0.63 (assume @p12 (and @t32 @t31)) % 0.44/0.63 (assume @p13 (forall @t7 (=> @t40 (not @t38)))) % 0.44/0.63 (assume @p14 (forall @t7 (=> @t40 (not @t42)))) % 0.44/0.63 (assume @p15 (forall @t7 (=> @t6 (and @t38 (tptp.relation @t12))))) % 0.44/0.63 (assume @p16 (forall @t7 (=> @t6 (and @t42 (tptp.relation @t41))))) % 0.44/0.63 (assume @p17 (forall @t4 (=> @t30 (and (tptp.empty @t23) @t24)))) % 0.44/0.63 (assume @p18 (exists @t7 @t20)) % 0.44/0.63 (assume @p19 (exists @t7 (and @t6 @t8))) % 0.44/0.63 (assume @p20 (forall @t7 (=> @t39 (exists @t28 (and @t44 (not @t43)))))) % 0.44/0.63 (assume @p21 (exists @t7 @t6)) % 0.44/0.63 (assume @p22 (exists @t7 @t40)) % 0.44/0.63 (assume @p23 (forall @t7 (exists @t28 (and @t44 @t43)))) % 0.44/0.63 (assume @p24 (exists @t7 @t39)) % 0.44/0.63 (assume @p25 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.44/0.63 (assume @p26 (forall @t4 (tptp.subset @t1 @t1))) % 0.44/0.63 (assume @p27 (forall @t4 (=> @t3 @t45))) % 0.44/0.63 (assume @p28 @t58) % 0.44/0.63 (assume @p29 (forall @t4 (=> @t45 (or @t43 @t3)))) % 0.44/0.63 (assume @p30 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.44/0.63 (assume @p31 @t65) % 0.44/0.63 (assume @p32 @t74) % 0.44/0.63 (assume @p33 (forall @t76 (=> (and @t3 @t75) (tptp.element @t1 @t9)))) % 0.44/0.63 (assume @p34 (forall @t76 (not (and @t3 @t75 (tptp.empty @t9))))) % 0.44/0.63 (assume @p35 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.44/0.63 (assume @p36 (forall @t4 (not (and @t3 @t43)))) % 0.44/0.63 (assume @p37 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t43)))) % 0.44/0.63 (assume @p38 true) % 0.44/0.63 (step @p39 :rule aci_norm :args ((= (or @t84 @t81) (or @t83 @t82 @t81)))) % 0.44/0.63 (step @p40 :rule refl :args (@t81)) % 0.44/0.63 (step @p41 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.44/0.63 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t85 @t81))) % 0.44/0.63 (step @p43 :rule trans :premises (@p42 @p39)) % 0.44/0.63 (step @p44 :rule bool-impl-elim :args (@t20 @t81)) % 0.44/0.63 (step @p45 :rule trans :premises (@p44 @p43)) % 0.44/0.63 (step @p46 :rule cong :premises (@p45) :args ((forall @t7 (=> @t20 @t81)))) % 0.44/0.63 (step @p47 :rule aci_norm :args ((= (or @t86 @t10) @t80))) % 0.44/0.63 (step @p48 :rule refl :args (@t10)) % 0.44/0.63 (step @p49 :rule aci_norm :args ((= (or @t79 (or @t78 @t77)) @t86))) % 0.44/0.63 (step @p50 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 0.44/0.63 (step @p51 :rule refl :args (@t79)) % 0.44/0.63 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t79 (not (and @t13 @t11))))) % 0.44/0.63 (step @p53 :rule bool-and-de-morgan :args (@t14 @t13 (and @t11))) % 0.44/0.63 (step @p54 :rule trans :premises (@p53 @p52)) % 0.44/0.63 (step @p55 :rule trans :premises (@p54 @p49)) % 0.44/0.63 (step @p56 :rule nary_cong :premises (@p55 @p48) :args ((or (not @t15) @t10))) % 0.44/0.63 (step @p57 :rule trans :premises (@p56 @p47)) % 0.44/0.63 (step @p58 :rule bool-impl-elim :args (@t15 @t10)) % 0.44/0.63 (step @p59 :rule trans :premises (@p58 @p57)) % 0.44/0.63 (step @p60 :rule cong :premises (@p59) :args (@t17)) % 0.44/0.63 (step @p61 :rule refl :args (@t18)) % 0.44/0.63 (step @p62 :rule cong :premises (@p61 @p60) :args (@t19)) % 0.44/0.63 (step @p63 :rule refl :args (@t20)) % 0.44/0.63 (step @p64 :rule cong :premises (@p63 @p62) :args (@t21)) % 0.44/0.63 (step @p65 :rule cong :premises (@p64) :args (@t22)) % 0.44/0.63 (step @p66 :rule trans :premises (@p65 @p46)) % 0.44/0.63 (step @p67 :rule eq_resolve :premises (@p4 @p66)) % 0.44/0.63 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t96))) % 0.44/0.63 (step @p69 :rule aci_norm :args ((= @t98 @t93))) % 0.44/0.63 (step @p70 :rule cong :premises (@p69) :args (@t99)) % 0.44/0.63 (step @p71 :rule quant-merge-prenex :args ((= (forall @t7 @t101) @t99))) % 0.44/0.63 (step @p72 :rule alpha_equiv :args (@t102 (@list @t87) @t103)) % 0.44/0.63 (step @p73 :rule refl :args (@t82)) % 0.44/0.63 (step @p74 :rule refl :args (@t83)) % 0.44/0.63 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t104)) % 0.44/0.63 (step @p76 :rule quant-miniscope-or :args ((= @t101 @t104))) % 0.44/0.63 (step @p77 :rule trans :premises (@p76 @p75)) % 0.44/0.63 (step @p78 :rule symm :premises (@p77)) % 0.44/0.63 (step @p79 :rule cong :premises (@p78) :args ((forall @t7 @t111))) % 0.44/0.63 (step @p80 :rule trans :premises (@p79 @p71)) % 0.44/0.63 (step @p81 :rule trans :premises (@p80 @p70)) % 0.44/0.63 (step @p82 :rule aci_norm :args ((= (or @t84 @t110) @t111))) % 0.44/0.63 (step @p83 :rule refl :args (@t110)) % 0.44/0.63 (step @p84 :rule nary_cong :premises (@p41 @p83) :args ((or @t85 @t110))) % 0.44/0.63 (step @p85 :rule trans :premises (@p84 @p82)) % 0.44/0.63 (step @p86 :rule bool-impl-elim :args (@t20 @t110)) % 0.44/0.63 (step @p87 :rule trans :premises (@p86 @p85)) % 0.44/0.63 (step @p88 :rule cong :premises (@p87) :args ((forall @t7 (=> @t20 @t110)))) % 0.44/0.63 (step @p89 :rule trans :premises (@p88 @p81)) % 0.44/0.63 (step @p90 :rule aci_norm :args ((= (or @t113 @t112) @t109))) % 0.44/0.63 (step @p91 :rule aci_norm :args ((= (or (or @t106 @t105) @t66) @t112))) % 0.44/0.63 (step @p92 :rule refl :args (@t66)) % 0.44/0.63 (step @p93 :rule bool-and-de-morgan :args (@t68 @t67 true)) % 0.44/0.63 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or (not @t69) @t66))) % 0.44/0.63 (step @p95 :rule trans :premises (@p94 @p91)) % 0.44/0.63 (step @p96 :rule bool-impl-elim :args (@t69 @t66)) % 0.44/0.63 (step @p97 :rule trans :premises (@p96 @p95)) % 0.44/0.63 (step @p98 :rule bool-and-de-morgan :args (@t25 @t34 true)) % 0.44/0.63 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t114 @t70))) % 0.44/0.63 (step @p100 :rule trans :premises (@p99 @p90)) % 0.44/0.63 (step @p101 :rule bool-impl-elim :args (@t56 @t70)) % 0.44/0.63 (step @p102 :rule trans :premises (@p101 @p100)) % 0.44/0.63 (step @p103 :rule cong :premises (@p102) :args (@t71)) % 0.44/0.63 (step @p104 :rule cong :premises (@p63 @p103) :args (@t72)) % 0.44/0.63 (step @p105 :rule cong :premises (@p104) :args (@t73)) % 0.44/0.63 (step @p106 :rule trans :premises (@p105 @p89)) % 0.44/0.63 (step @p107 :rule cong :premises (@p106) :args (@t74)) % 0.44/0.63 (step @p108 :rule eq_resolve :premises (@p32 @p107)) % 0.44/0.63 (step @p109 :rule skolemize :premises (@p108)) % 0.44/0.63 (step @p110 :rule bool-double-not-elim :args (@t115)) % 0.44/0.63 (step @p111 :rule refl :args (@t130)) % 0.44/0.63 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t130 (not @t123)))) % 0.44/0.63 (step @p113 :rule cnf_or_neg :args (@t130 3)) % 0.44/0.63 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 0.44/0.63 (step @p115 :rule reordering :premises (@p114) :args ((or @t115 @t130))) % 0.44/0.63 (step @p116 :rule chain_m_resolution :premises (@p115 @p109) :args (@t115 @t131 @t132)) % 0.44/0.63 (step @p117 :rule bool-double-not-elim :args (@t124)) % 0.44/0.63 (step @p118 :rule nary_cong :premises (@p111 @p117) :args ((or @t130 (not @t125)))) % 0.44/0.63 (step @p119 :rule cnf_or_neg :args (@t130 2)) % 0.44/0.63 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.44/0.63 (step @p121 :rule reordering :premises (@p120) :args ((or @t124 @t130))) % 0.44/0.63 (step @p122 :rule chain_m_resolution :premises (@p121 @p109) :args (@t124 @t131 @t132)) % 0.44/0.63 (step @p123 :rule cnf_or_pos :args (@t136)) % 0.44/0.63 (step @p124 :rule reordering :premises (@p123) :args ((or @t125 @t123 @t135 (not @t136)))) % 0.44/0.63 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p116 @p68) :args (@t135 @t137 (@list @t124 @t115 @t136))) % 0.44/0.63 (step @p126 :rule cnf_or_neg :args (@t130 6)) % 0.44/0.63 (step @p127 :rule chain_m_resolution :premises (@p126 @p109) :args ((not @t116) @t131 @t132)) % 0.44/0.63 (step @p128 :rule cnf_equiv_pos2 :args (@t135)) % 0.44/0.63 (step @p129 :rule reordering :premises (@p128) :args ((or @t116 @t138 (not @t135)))) % 0.44/0.63 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p125) :args (@t138 (@list true false) (@list @t116 @t135))) % 0.44/0.63 (step @p131 :rule skolemize :premises (@p130)) % 0.44/0.63 (step @p132 :rule bool-double-not-elim :args (@t143)) % 0.44/0.63 (step @p133 :rule refl :args (@t150)) % 0.44/0.63 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t150 (not @t145)))) % 0.44/0.63 (step @p135 :rule cnf_or_neg :args (@t150 2)) % 0.44/0.63 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.44/0.63 (step @p137 :rule reordering :premises (@p136) :args ((or @t143 @t150))) % 0.44/0.63 (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t143 @t131 @t151)) % 0.44/0.63 (step @p139 :rule instantiate :premises (@p67) :args ((@list @t120))) % 0.44/0.63 (step @p140 :rule aci_norm :args ((= (or @t152 @t33) (or @t83 @t82 @t108 @t107 @t33)))) % 0.44/0.63 (step @p141 :rule refl :args (@t33)) % 0.44/0.63 (step @p142 :rule aci_norm :args ((= (or @t83 (or @t82 @t113)) @t152))) % 0.44/0.63 (step @p143 :rule nary_cong :premises (@p73 @p98) :args ((or @t82 @t114))) % 0.44/0.63 (step @p144 :rule bool-and-de-morgan :args (@t5 @t25 (and @t34))) % 0.44/0.63 (step @p145 :rule trans :premises (@p144 @p143)) % 0.44/0.63 (step @p146 :rule nary_cong :premises (@p74 @p145) :args ((or @t83 (not (and @t5 @t25 @t34))))) % 0.44/0.63 (step @p147 :rule bool-and-de-morgan :args (@t8 @t5 (and @t25 @t34))) % 0.44/0.63 (step @p148 :rule trans :premises (@p147 @p146)) % 0.44/0.63 (step @p149 :rule trans :premises (@p148 @p142)) % 0.44/0.63 (step @p150 :rule nary_cong :premises (@p149 @p141) :args ((or (not @t35) @t33))) % 0.44/0.63 (step @p151 :rule trans :premises (@p150 @p140)) % 0.44/0.63 (step @p152 :rule bool-impl-elim :args (@t35 @t33)) % 0.44/0.63 (step @p153 :rule trans :premises (@p152 @p151)) % 0.44/0.63 (step @p154 :rule cong :premises (@p153) :args (@t36)) % 0.44/0.63 (step @p155 :rule eq_resolve :premises (@p9 @p154)) % 0.44/0.63 (step @p156 :rule instantiate :premises (@p155) :args (@t153)) % 0.44/0.63 (step @p157 :rule bool-double-not-elim :args (@t126)) % 0.44/0.63 (step @p158 :rule nary_cong :premises (@p111 @p157) :args ((or @t130 (not @t127)))) % 0.44/0.63 (step @p159 :rule cnf_or_neg :args (@t130 1)) % 0.44/0.63 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.44/0.63 (step @p161 :rule reordering :premises (@p160) :args ((or @t126 @t130))) % 0.44/0.63 (step @p162 :rule chain_m_resolution :premises (@p161 @p109) :args (@t126 @t131 @t132)) % 0.44/0.63 (step @p163 :rule bool-double-not-elim :args (@t128)) % 0.44/0.63 (step @p164 :rule nary_cong :premises (@p111 @p163) :args ((or @t130 (not @t129)))) % 0.44/0.63 (step @p165 :rule cnf_or_neg :args (@t130 0)) % 0.44/0.63 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.44/0.63 (step @p167 :rule reordering :premises (@p166) :args ((or @t128 @t130))) % 0.44/0.63 (step @p168 :rule chain_m_resolution :premises (@p167 @p109) :args (@t128 @t131 @t132)) % 0.44/0.63 (step @p169 :rule cnf_or_pos :args (@t157)) % 0.44/0.63 (step @p170 :rule reordering :premises (@p169) :args ((or @t129 @t127 @t125 @t123 @t156 (not @t157)))) % 0.44/0.63 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p162 @p122 @p116 @p156) :args (@t156 (@list false false false false false) (@list @t128 @t126 @t124 @t115 @t157))) % 0.44/0.63 (step @p172 :rule cnf_and_pos :args (@t156 1)) % 0.44/0.63 (step @p173 :rule reordering :premises (@p172) :args ((or @t154 (not @t156)))) % 0.44/0.63 (step @p174 :rule chain_m_resolution :premises (@p173 @p171) :args (@t154 (@list false) (@list @t156))) % 0.44/0.63 (step @p175 :rule aci_norm :args ((= (or (or @t83 @t108) @t24) (or @t83 @t108 @t24)))) % 0.44/0.63 (step @p176 :rule refl :args (@t24)) % 0.44/0.63 (step @p177 :rule bool-and-de-morgan :args (@t8 @t25 true)) % 0.44/0.63 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or (not @t26) @t24))) % 0.44/0.63 (step @p179 :rule trans :premises (@p178 @p175)) % 0.44/0.63 (step @p180 :rule bool-impl-elim :args (@t26 @t24)) % 0.44/0.63 (step @p181 :rule trans :premises (@p180 @p179)) % 0.44/0.63 (step @p182 :rule cong :premises (@p181) :args (@t27)) % 0.44/0.63 (step @p183 :rule eq_resolve :premises (@p5 @p182)) % 0.44/0.63 (step @p184 :rule instantiate :premises (@p183) :args (@t153)) % 0.44/0.63 (step @p185 :rule cnf_or_pos :args (@t158)) % 0.44/0.63 (step @p186 :rule reordering :premises (@p185) :args ((or @t129 @t125 @t155 (not @t158)))) % 0.44/0.63 (step @p187 :rule chain_m_resolution :premises (@p186 @p168 @p122 @p184) :args (@t155 @t137 (@list @t128 @t124 @t158))) % 0.44/0.63 (step @p188 :rule cnf_or_pos :args (@t164)) % 0.44/0.63 (step @p189 :rule reordering :premises (@p188) :args ((or @t163 @t162 @t161 (not @t164)))) % 0.44/0.63 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p174 @p139) :args (@t161 @t137 (@list @t155 @t154 @t164))) % 0.44/0.63 (step @p191 :rule bool-double-not-elim :args (@t121)) % 0.44/0.63 (step @p192 :rule nary_cong :premises (@p111 @p191) :args ((or @t130 (not @t122)))) % 0.44/0.63 (step @p193 :rule cnf_or_neg :args (@t130 4)) % 0.44/0.63 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.44/0.63 (step @p195 :rule reordering :premises (@p194) :args ((or @t121 @t130))) % 0.44/0.63 (step @p196 :rule chain_m_resolution :premises (@p195 @p109) :args (@t121 @t131 @t132)) % 0.44/0.63 (step @p197 :rule cnf_equiv_pos1 :args (@t161)) % 0.44/0.63 (step @p198 :rule reordering :premises (@p197) :args ((or @t122 @t160 (not @t161)))) % 0.44/0.63 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p190) :args (@t160 (@list false false) (@list @t121 @t161))) % 0.44/0.63 (step @p200 :rule instantiate :premises (@p199) :args ((@list @t141 @t139))) % 0.44/0.63 (step @p201 :rule bool-double-not-elim :args (@t146)) % 0.44/0.63 (step @p202 :rule nary_cong :premises (@p133 @p201) :args ((or @t150 (not @t147)))) % 0.44/0.63 (step @p203 :rule cnf_or_neg :args (@t150 1)) % 0.44/0.63 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.44/0.63 (step @p205 :rule reordering :premises (@p204) :args ((or @t146 @t150))) % 0.44/0.63 (step @p206 :rule chain_m_resolution :premises (@p205 @p131) :args (@t146 @t131 @t151)) % 0.44/0.63 (step @p207 :rule true_intro :premises (@p206)) % 0.44/0.63 (step @p208 :rule aci_norm :args ((= @t170 (or @t83 @t168 @t167 @t166)))) % 0.44/0.63 (step @p209 :rule cong :premises (@p208) :args (@t171)) % 0.44/0.63 (step @p210 :rule quant-merge-prenex :args ((= (forall @t7 @t173) @t171))) % 0.44/0.63 (step @p211 :rule alpha_equiv :args (@t174 (@list @t165) @t103)) % 0.44/0.63 (step @p212 :rule nary_cong :premises (@p74 @p211) :args (@t175)) % 0.44/0.63 (step @p213 :rule quant-miniscope-or :args ((= @t173 @t175))) % 0.44/0.63 (step @p214 :rule trans :premises (@p213 @p212)) % 0.44/0.63 (step @p215 :rule symm :premises (@p214)) % 0.44/0.63 (step @p216 :rule cong :premises (@p215) :args ((forall @t7 (or @t83 @t179)))) % 0.44/0.63 (step @p217 :rule trans :premises (@p216 @p210)) % 0.44/0.63 (step @p218 :rule trans :premises (@p217 @p209)) % 0.44/0.63 (step @p219 :rule bool-impl-elim :args (@t8 @t179)) % 0.44/0.63 (step @p220 :rule cong :premises (@p219) :args ((forall @t7 (=> @t8 @t179)))) % 0.44/0.63 (step @p221 :rule trans :premises (@p220 @p218)) % 0.44/0.63 (step @p222 :rule aci_norm :args ((= (or @t108 (or @t177 @t176)) @t178))) % 0.44/0.63 (step @p223 :rule bool-impl-elim :args (@t60 @t176)) % 0.44/0.63 (step @p224 :rule refl :args (@t108)) % 0.44/0.63 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t108 @t180))) % 0.44/0.63 (step @p226 :rule trans :premises (@p225 @p222)) % 0.44/0.63 (step @p227 :rule bool-impl-elim :args (@t25 @t180)) % 0.44/0.63 (step @p228 :rule trans :premises (@p227 @p226)) % 0.44/0.63 (step @p229 :rule cong :premises (@p228) :args ((forall @t28 (=> @t25 @t180)))) % 0.44/0.63 (step @p230 :rule eq-symm :args (@t59 @t12)) % 0.44/0.63 (step @p231 :rule refl :args (@t60)) % 0.44/0.63 (step @p232 :rule cong :premises (@p231 @p230) :args (@t61)) % 0.44/0.63 (step @p233 :rule refl :args (@t25)) % 0.44/0.63 (step @p234 :rule cong :premises (@p233 @p232) :args (@t62)) % 0.44/0.63 (step @p235 :rule cong :premises (@p234) :args (@t63)) % 0.44/0.63 (step @p236 :rule trans :premises (@p235 @p229)) % 0.44/0.63 (step @p237 :rule refl :args (@t8)) % 0.44/0.63 (step @p238 :rule cong :premises (@p237 @p236) :args (@t64)) % 0.44/0.63 (step @p239 :rule cong :premises (@p238) :args (@t65)) % 0.44/0.63 (step @p240 :rule trans :premises (@p239 @p221)) % 0.44/0.63 (step @p241 :rule eq_resolve :premises (@p31 @p240)) % 0.44/0.63 (step @p242 :rule instantiate :premises (@p241) :args (@t153)) % 0.44/0.63 (step @p243 :rule bool-double-not-elim :args (@t118)) % 0.44/0.63 (step @p244 :rule nary_cong :premises (@p111 @p243) :args ((or @t130 (not @t119)))) % 0.44/0.63 (step @p245 :rule cnf_or_neg :args (@t130 5)) % 0.44/0.63 (step @p246 :rule eq_resolve :premises (@p245 @p244)) % 0.44/0.63 (step @p247 :rule reordering :premises (@p246) :args ((or @t118 @t130))) % 0.44/0.63 (step @p248 :rule chain_m_resolution :premises (@p247 @p109) :args (@t118 @t131 @t132)) % 0.44/0.63 (step @p249 :rule cnf_or_pos :args (@t182)) % 0.44/0.63 (step @p250 :rule reordering :premises (@p249) :args ((or @t129 @t125 @t119 @t181 (not @t182)))) % 0.44/0.63 (step @p251 :rule chain_m_resolution :premises (@p250 @p168 @p122 @p248 @p242) :args (@t181 (@list false false false false) (@list @t128 @t124 @t118 @t182))) % 0.44/0.63 (step @p252 :rule symm :premises (@p251)) % 0.44/0.63 (step @p253 :rule refl :args (@t139)) % 0.44/0.63 (step @p254 :rule cong :premises (@p253 @p252) :args (@t183)) % 0.44/0.63 (step @p255 :rule trans :premises (@p254 @p207)) % 0.44/0.63 (step @p256 :rule true_elim :premises (@p255)) % 0.44/0.63 (step @p257 :rule bool-double-not-elim :args (@t148)) % 0.44/0.63 (step @p258 :rule nary_cong :premises (@p133 @p257) :args ((or @t150 (not @t149)))) % 0.44/0.63 (step @p259 :rule cnf_or_neg :args (@t150 0)) % 0.44/0.63 (step @p260 :rule eq_resolve :premises (@p259 @p258)) % 0.44/0.63 (step @p261 :rule reordering :premises (@p260) :args ((or @t148 @t150))) % 0.44/0.63 (step @p262 :rule chain_m_resolution :premises (@p261 @p131) :args (@t148 @t131 @t151)) % 0.44/0.63 (step @p263 :rule true_intro :premises (@p262)) % 0.44/0.63 (step @p264 :rule refl :args (@t141)) % 0.44/0.63 (step @p265 :rule cong :premises (@p264 @p252) :args (@t184)) % 0.44/0.63 (step @p266 :rule trans :premises (@p265 @p263)) % 0.44/0.63 (step @p267 :rule true_elim :premises (@p266)) % 0.44/0.63 (step @p268 :rule cnf_or_neg :args (@t150 3)) % 0.44/0.63 (step @p269 :rule chain_m_resolution :premises (@p268 @p131) :args ((not @t144) @t131 @t151)) % 0.44/0.63 (step @p270 :rule cnf_or_pos :args (@t191)) % 0.44/0.63 (step @p271 :rule reordering :premises (@p270) :args ((or @t144 @t190 @t189 @t188 (not @t191)))) % 0.44/0.63 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p267 @p256 @p200) :args (@t188 (@list true false false false) (@list @t144 @t184 @t183 @t191))) % 0.44/0.63 (step @p273 :rule aci_norm :args ((= @t198 (or @t108 @t107 @t196 @t195 @t194 @t193)))) % 0.44/0.63 (step @p274 :rule cong :premises (@p273) :args (@t199)) % 0.44/0.63 (step @p275 :rule quant-merge-prenex :args ((= (forall @t4 @t201) @t199))) % 0.44/0.63 (step @p276 :rule alpha_equiv :args (@t202 (@list @t192) (@list @t9))) % 0.44/0.63 (step @p277 :rule refl :args (@t196)) % 0.44/0.63 (step @p278 :rule refl :args (@t107)) % 0.44/0.63 (step @p279 :rule nary_cong :premises (@p224 @p278 @p277 @p276) :args (@t203)) % 0.44/0.63 (step @p280 :rule quant-miniscope-or :args ((= @t201 @t203))) % 0.44/0.63 (step @p281 :rule trans :premises (@p280 @p279)) % 0.44/0.63 (step @p282 :rule symm :premises (@p281)) % 0.44/0.63 (step @p283 :rule cong :premises (@p282) :args ((forall @t4 @t208))) % 0.44/0.63 (step @p284 :rule trans :premises (@p283 @p275)) % 0.44/0.63 (step @p285 :rule trans :premises (@p284 @p274)) % 0.44/0.63 (step @p286 :rule aci_norm :args ((= (or @t113 @t209) @t208))) % 0.44/0.63 (step @p287 :rule refl :args (@t209)) % 0.44/0.63 (step @p288 :rule nary_cong :premises (@p98 @p287) :args ((or @t114 @t209))) % 0.44/0.63 (step @p289 :rule trans :premises (@p288 @p286)) % 0.44/0.63 (step @p290 :rule bool-impl-elim :args (@t56 @t209)) % 0.44/0.63 (step @p291 :rule trans :premises (@p290 @p289)) % 0.44/0.63 (step @p292 :rule cong :premises (@p291) :args ((forall @t4 (=> @t56 @t209)))) % 0.44/0.63 (step @p293 :rule trans :premises (@p292 @p285)) % 0.44/0.63 (step @p294 :rule quant-miniscope-or :args ((= (forall @t54 @t210) @t209))) % 0.44/0.63 (step @p295 :rule aci_norm :args ((= @t211 @t210))) % 0.44/0.63 (step @p296 :rule cong :premises (@p295) :args ((forall @t54 @t211))) % 0.44/0.63 (step @p297 :rule trans :premises (@p296 @p294)) % 0.44/0.63 (step @p298 :rule aci_norm :args ((= (or (or @t205 @t204) (or @t196 @t47)) @t211))) % 0.44/0.63 (step @p299 :rule bool-impl-elim :args (@t49 @t47)) % 0.44/0.63 (step @p300 :rule bool-and-de-morgan :args (@t52 @t51 true)) % 0.44/0.63 (step @p301 :rule nary_cong :premises (@p300 @p299) :args ((or (not @t53) @t50))) % 0.44/0.63 (step @p302 :rule trans :premises (@p301 @p298)) % 0.44/0.63 (step @p303 :rule bool-impl-elim :args (@t53 @t50)) % 0.44/0.63 (step @p304 :rule trans :premises (@p303 @p302)) % 0.44/0.63 (step @p305 :rule cong :premises (@p304) :args (@t55)) % 0.44/0.63 (step @p306 :rule trans :premises (@p305 @p297)) % 0.44/0.63 (step @p307 :rule refl :args (@t56)) % 0.44/0.63 (step @p308 :rule cong :premises (@p307 @p306) :args (@t57)) % 0.44/0.63 (step @p309 :rule cong :premises (@p308) :args (@t58)) % 0.44/0.63 (step @p310 :rule trans :premises (@p309 @p293)) % 0.44/0.63 (step @p311 :rule eq_resolve :premises (@p28 @p310)) % 0.44/0.63 (step @p312 :rule instantiate :premises (@p311) :args ((@list @t139 @t96 @t117))) % 0.44/0.63 (step @p313 :rule cnf_or_pos :args (@t213)) % 0.44/0.63 (step @p314 :rule reordering :premises (@p313) :args ((or @t129 @t127 @t125 @t123 @t147 @t212 (not @t213)))) % 0.44/0.63 (step @p315 :rule chain_m_resolution :premises (@p314 @p168 @p162 @p122 @p116 @p206 @p312) :args (@t212 @t214 (@list @t128 @t126 @t124 @t115 @t146 @t213))) % 0.44/0.63 (step @p316 :rule instantiate :premises (@p311) :args ((@list @t141 @t96 @t117))) % 0.44/0.63 (step @p317 :rule cnf_or_pos :args (@t217)) % 0.44/0.63 (step @p318 :rule reordering :premises (@p317) :args ((or @t129 @t127 @t125 @t123 @t149 @t216 (not @t217)))) % 0.44/0.63 (step @p319 :rule chain_m_resolution :premises (@p318 @p168 @p162 @p122 @p116 @p262 @p316) :args (@t216 @t214 (@list @t128 @t126 @t124 @t115 @t148 @t217))) % 0.44/0.63 (step @p320 :rule refl :args (@t218)) % 0.44/0.63 (step @p321 :rule refl :args (@t219)) % 0.44/0.63 (step @p322 :rule bool-double-not-elim :args (@t187)) % 0.44/0.63 (step @p323 :rule refl :args (@t145)) % 0.44/0.63 (step @p324 :rule nary_cong :premises (@p323 @p322 @p321 @p320) :args ((or @t145 (not @t188) @t219 @t218))) % 0.44/0.63 (assume-push @p346 @t143) % 0.44/0.63 (assume-push @p347 @t188) % 0.44/0.63 (assume-push @p348 @t212) % 0.44/0.63 (step @p328 :rule false_intro :premises (@p272)) % 0.44/0.63 (step @p329 :rule symm :premises (@p315)) % 0.44/0.63 (step @p330 :rule refl :args (@t117)) % 0.44/0.63 (step @p331 :rule cong :premises (@p330 @p138) :args (@t215)) % 0.44/0.63 (step @p332 :rule trans :premises (@p331 @p329)) % 0.44/0.63 (step @p333 :rule refl :args (@t186)) % 0.44/0.63 (step @p334 :rule cong :premises (@p333 @p332) :args (@t216)) % 0.44/0.63 (step @p335 :rule trans :premises (@p334 @p328)) % 0.44/0.63 (step @p336 :rule false_elim :premises (@p335)) % 0.44/0.63 (step-pop @p349 :rule scope :premises (@p336)) % 0.44/0.63 (step-pop @p350 :rule scope :premises (@p349)) % 0.44/0.63 (step-pop @p351 :rule scope :premises (@p350)) % 0.44/0.63 (step @p337 :rule process_scope :premises (@p351) :args (@t218)) % 0.44/0.63 (step @p341 :rule implies_elim :premises (@p337)) % 0.44/0.63 (step @p342 :rule cnf_and_neg :args (@t220)) % 0.44/0.63 (step @p343 :rule resolution :premises (@p342 @p341) :args (true @t220)) % 0.44/0.63 (step @p344 :rule eq_resolve :premises (@p343 @p324)) % 0.44/0.63 (step @p345 false :rule chain_m_resolution :premises (@p344 @p319 @p315 @p272 @p138) :args (false (@list false false true false) (@list @t216 @t212 @t187 @t143))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------