%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU221+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:51:01 AM UTC 2026 % Result : Theorem 3.00s 3.21s % Output : Proof 3.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU221+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.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 16:43:23 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 3.00/3.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.00/3.21 % SZS status Theorem % 3.00/3.21 % SZS output start Proof % 3.00/3.21 ( % 3.00/3.21 (declare-sort $$unsorted 0) % 3.00/3.21 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 3.00/3.21 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 3.00/3.21 (declare-const tptp.function (-> $$unsorted Bool)) % 3.00/3.21 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 3.00/3.21 (declare-const tptp.empty (-> $$unsorted Bool)) % 3.00/3.21 (declare-const tptp.relation (-> $$unsorted Bool)) % 3.00/3.21 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 3.00/3.21 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 3.00/3.21 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 3.00/3.21 (declare-const tptp.empty_set $$unsorted) % 3.00/3.21 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 3.00/3.21 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 3.00/3.21 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 3.00/3.21 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 3.00/3.21 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 3.00/3.21 (define @t1 () (@var "A" $$unsorted)) % 3.00/3.21 (define @t2 () (@var "B" $$unsorted)) % 3.00/3.21 (define @t3 () (tptp.in @t1 @t2)) % 3.00/3.21 (define @t4 () (@list @t1 @t2)) % 3.00/3.21 (define @t5 () (tptp.function @t1)) % 3.00/3.21 (define @t6 () (tptp.empty @t1)) % 3.00/3.21 (define @t7 () (@list @t1)) % 3.00/3.21 (define @t8 () (tptp.relation @t1)) % 3.00/3.21 (define @t9 () (tptp.one_to_one @t1)) % 3.00/3.21 (define @t10 () (and @t8 @t5 @t9)) % 3.00/3.21 (define @t11 () (and @t8 @t6 @t5)) % 3.00/3.21 (define @t12 () (@var "C" $$unsorted)) % 3.00/3.21 (define @t13 () (= @t2 @t12)) % 3.00/3.21 (define @t14 () (= (tptp.apply @t1 @t2) (tptp.apply @t1 @t12))) % 3.00/3.21 (define @t15 () (tptp.relation_dom @t1)) % 3.00/3.21 (define @t16 () (tptp.in @t12 @t15)) % 3.00/3.21 (define @t17 () (tptp.in @t2 @t15)) % 3.00/3.21 (define @t18 () (and @t17 @t16 @t14)) % 3.00/3.21 (define @t19 () (@list @t2 @t12)) % 3.00/3.21 (define @t20 () (forall @t19 (=> @t18 @t13))) % 3.00/3.21 (define @t21 () (= @t9 @t20)) % 3.00/3.21 (define @t22 () (and @t8 @t5)) % 3.00/3.21 (define @t23 () (=> @t22 @t21)) % 3.00/3.21 (define @t24 () (forall @t7 @t23)) % 3.00/3.21 (define @t25 () (tptp.function_inverse @t1)) % 3.00/3.21 (define @t26 () (and (tptp.relation @t25) (tptp.function @t25))) % 3.00/3.21 (define @t27 () (forall @t7 (=> @t22 @t26))) % 3.00/3.21 (define @t28 () (tptp.relation_composition @t1 @t2)) % 3.00/3.21 (define @t29 () (tptp.relation @t28)) % 3.00/3.21 (define @t30 () (tptp.relation @t2)) % 3.00/3.21 (define @t31 () (@list @t2)) % 3.00/3.21 (define @t32 () (tptp.relation_composition @t2 @t1)) % 3.00/3.21 (define @t33 () (and @t6 @t30)) % 3.00/3.21 (define @t34 () (tptp.relation tptp.empty_set)) % 3.00/3.21 (define @t35 () (tptp.empty tptp.empty_set)) % 3.00/3.21 (define @t36 () (tptp.function @t2)) % 3.00/3.21 (define @t37 () (tptp.powerset @t1)) % 3.00/3.21 (define @t38 () (tptp.empty @t15)) % 3.00/3.21 (define @t39 () (not @t6)) % 3.00/3.21 (define @t40 () (and @t39 @t8)) % 3.00/3.21 (define @t41 () (tptp.relation_rng @t1)) % 3.00/3.21 (define @t42 () (tptp.empty @t41)) % 3.00/3.21 (define @t43 () (tptp.empty @t2)) % 3.00/3.21 (define @t44 () (tptp.element @t2 @t37)) % 3.00/3.21 (define @t45 () (tptp.element @t1 @t2)) % 3.00/3.21 (define @t46 () (tptp.element @t2 (tptp.powerset @t12))) % 3.00/3.21 (define @t47 () (@list @t1 @t2 @t12)) % 3.00/3.21 (define @t48 () (@var "D" $$unsorted)) % 3.00/3.21 (define @t49 () (= @t48 (tptp.apply @t2 @t12))) % 3.00/3.21 (define @t50 () (tptp.in @t12 @t41)) % 3.00/3.21 (define @t51 () (and @t50 @t49)) % 3.00/3.21 (define @t52 () (= @t12 (tptp.apply @t1 @t48))) % 3.00/3.21 (define @t53 () (tptp.in @t48 @t15)) % 3.00/3.21 (define @t54 () (and @t53 @t52)) % 3.00/3.21 (define @t55 () (and (=> @t51 @t54) (=> @t54 @t51))) % 3.00/3.21 (define @t56 () (@list @t12 @t48)) % 3.00/3.21 (define @t57 () (forall @t56 @t55)) % 3.00/3.21 (define @t58 () (tptp.relation_dom @t2)) % 3.00/3.21 (define @t59 () (and (= @t58 @t41) @t57)) % 3.00/3.21 (define @t60 () (= @t2 @t25)) % 3.00/3.21 (define @t61 () (= @t60 @t59)) % 3.00/3.21 (define @t62 () (and @t30 @t36)) % 3.00/3.21 (define @t63 () (=> @t62 @t61)) % 3.00/3.21 (define @t64 () (forall @t31 @t63)) % 3.00/3.21 (define @t65 () (=> @t9 @t64)) % 3.00/3.21 (define @t66 () (=> @t22 @t65)) % 3.00/3.21 (define @t67 () (forall @t7 @t66)) % 3.00/3.21 (define @t68 () (tptp.function_inverse @t2)) % 3.00/3.21 (define @t69 () (and (= @t1 (tptp.apply @t2 (tptp.apply @t68 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t68 @t2) @t1)))) % 3.00/3.21 (define @t70 () (tptp.in @t1 (tptp.relation_rng @t2))) % 3.00/3.21 (define @t71 () (tptp.one_to_one @t2)) % 3.00/3.21 (define @t72 () (and @t71 @t70)) % 3.00/3.21 (define @t73 () (=> @t72 @t69)) % 3.00/3.21 (define @t74 () (forall @t4 (=> @t62 @t73))) % 3.00/3.21 (define @t75 () (tptp.one_to_one @t25)) % 3.00/3.21 (define @t76 () (=> @t9 @t75)) % 3.00/3.21 (define @t77 () (forall @t7 (=> @t22 @t76))) % 3.00/3.21 (define @t78 () (not @t77)) % 3.00/3.21 (define @t79 () (not @t14)) % 3.00/3.21 (define @t80 () (not @t16)) % 3.00/3.21 (define @t81 () (not @t17)) % 3.00/3.21 (define @t82 () (or @t81 @t80 @t79 @t13)) % 3.00/3.21 (define @t83 () (= @t9 (forall @t19 @t82))) % 3.00/3.21 (define @t84 () (not @t5)) % 3.00/3.21 (define @t85 () (not @t8)) % 3.00/3.21 (define @t86 () (or @t85 @t84)) % 3.00/3.21 (define @t87 () (not @t22)) % 3.00/3.21 (define @t88 () (or @t81 @t80 @t79)) % 3.00/3.21 (define @t89 () (not @t9)) % 3.00/3.21 (define @t90 () (or @t85 @t84 @t89 @t75)) % 3.00/3.21 (define @t91 () (@quantifiers_skolemize (forall @t7 @t90) 0)) % 3.00/3.21 (define @t92 () (tptp.function_inverse @t91)) % 3.00/3.21 (define @t93 () (tptp.function @t91)) % 3.00/3.21 (define @t94 () (tptp.one_to_one @t92)) % 3.00/3.21 (define @t95 () (tptp.one_to_one @t91)) % 3.00/3.21 (define @t96 () (not @t95)) % 3.00/3.21 (define @t97 () (not @t93)) % 3.00/3.21 (define @t98 () (tptp.relation @t91)) % 3.00/3.21 (define @t99 () (not @t98)) % 3.00/3.21 (define @t100 () (or @t99 @t97 @t96 @t94)) % 3.00/3.21 (define @t101 () (@list true)) % 3.00/3.21 (define @t102 () (@list @t100)) % 3.00/3.21 (define @t103 () (tptp.function @t92)) % 3.00/3.21 (define @t104 () (tptp.relation @t92)) % 3.00/3.21 (define @t105 () (and @t104 @t103)) % 3.00/3.21 (define @t106 () (or @t99 @t97 @t105)) % 3.00/3.21 (define @t107 () (@list false false false)) % 3.00/3.21 (define @t108 () (not @t105)) % 3.00/3.21 (define @t109 () (@list false)) % 3.00/3.21 (define @t110 () (@list @t105)) % 3.00/3.21 (define @t111 () (tptp.relation_dom @t92)) % 3.00/3.21 (define @t112 () (forall @t19 (or (not (tptp.in @t2 @t111)) (not (tptp.in @t12 @t111)) (not (= (tptp.apply @t92 @t2) (tptp.apply @t92 @t12))) @t13))) % 3.00/3.21 (define @t113 () (= @t94 @t112)) % 3.00/3.21 (define @t114 () (not @t103)) % 3.00/3.21 (define @t115 () (not @t104)) % 3.00/3.21 (define @t116 () (or @t115 @t114 @t113)) % 3.00/3.21 (define @t117 () (not @t112)) % 3.00/3.21 (define @t118 () (@quantifiers_skolemize @t112 1)) % 3.00/3.21 (define @t119 () (tptp.apply @t92 @t118)) % 3.00/3.21 (define @t120 () (@quantifiers_skolemize @t112 0)) % 3.00/3.21 (define @t121 () (tptp.apply @t92 @t120)) % 3.00/3.21 (define @t122 () (= @t121 @t119)) % 3.00/3.21 (define @t123 () (= @t120 @t118)) % 3.00/3.21 (define @t124 () (not @t122)) % 3.00/3.21 (define @t125 () (tptp.in @t118 @t111)) % 3.00/3.21 (define @t126 () (not @t125)) % 3.00/3.21 (define @t127 () (tptp.in @t120 @t111)) % 3.00/3.21 (define @t128 () (not @t127)) % 3.00/3.21 (define @t129 () (or @t128 @t126 @t124 @t123)) % 3.00/3.21 (define @t130 () (@list @t129)) % 3.00/3.21 (define @t131 () (not @t123)) % 3.00/3.21 (define @t132 () (not @t70)) % 3.00/3.21 (define @t133 () (not @t71)) % 3.00/3.21 (define @t134 () (not @t36)) % 3.00/3.21 (define @t135 () (not @t30)) % 3.00/3.21 (define @t136 () (or @t133 @t132 @t69)) % 3.00/3.21 (define @t137 () (or @t135 @t134)) % 3.00/3.21 (define @t138 () (not @t62)) % 3.00/3.21 (define @t139 () (@var "BOUND_VARIABLE_7867" $$unsorted)) % 3.00/3.21 (define @t140 () (= @t25 @t139)) % 3.00/3.21 (define @t141 () (@var "BOUND_VARIABLE_7812" $$unsorted)) % 3.00/3.21 (define @t142 () (tptp.apply @t1 @t141)) % 3.00/3.21 (define @t143 () (tptp.in @t142 @t41)) % 3.00/3.21 (define @t144 () (not (tptp.in @t141 @t15))) % 3.00/3.21 (define @t145 () (@list @t141)) % 3.00/3.21 (define @t146 () (@var "BOUND_VARIABLE_7794" $$unsorted)) % 3.00/3.21 (define @t147 () (tptp.apply @t139 @t146)) % 3.00/3.21 (define @t148 () (not (tptp.in @t146 @t41))) % 3.00/3.21 (define @t149 () (@list @t146)) % 3.00/3.21 (define @t150 () (and (= @t41 (tptp.relation_dom @t139)) (forall @t149 (or @t148 (and (tptp.in @t147 @t15) (= @t146 (tptp.apply @t1 @t147))))) (forall @t145 (or @t144 (and @t143 (= @t141 (tptp.apply @t139 @t142))))))) % 3.00/3.21 (define @t151 () (= (= @t139 @t25) @t150)) % 3.00/3.21 (define @t152 () (not (tptp.function @t139))) % 3.00/3.21 (define @t153 () (not (tptp.relation @t139))) % 3.00/3.21 (define @t154 () (or @t85 @t84 @t89 @t153 @t152 @t151)) % 3.00/3.21 (define @t155 () (or @t153 @t152 @t151)) % 3.00/3.21 (define @t156 () (or @t85 @t84 @t89 @t155)) % 3.00/3.21 (define @t157 () (@list @t1 @t139)) % 3.00/3.21 (define @t158 () (forall @t157 @t156)) % 3.00/3.21 (define @t159 () (@list @t139)) % 3.00/3.21 (define @t160 () (forall @t159 @t156)) % 3.00/3.21 (define @t161 () (forall @t159 @t155)) % 3.00/3.21 (define @t162 () (or @t85 @t84 @t89 @t161)) % 3.00/3.21 (define @t163 () (and @t143 (= @t141 (tptp.apply @t2 @t142)))) % 3.00/3.21 (define @t164 () (or @t144 @t163)) % 3.00/3.21 (define @t165 () (forall @t145 @t164)) % 3.00/3.21 (define @t166 () (tptp.apply @t2 @t146)) % 3.00/3.21 (define @t167 () (and (tptp.in @t166 @t15) (= @t146 (tptp.apply @t1 @t166)))) % 3.00/3.21 (define @t168 () (or @t148 @t167)) % 3.00/3.21 (define @t169 () (forall @t149 @t168)) % 3.00/3.21 (define @t170 () (= @t41 @t58)) % 3.00/3.21 (define @t171 () (and @t170 @t169 @t165)) % 3.00/3.21 (define @t172 () (= @t60 @t171)) % 3.00/3.21 (define @t173 () (or @t135 @t134 @t172)) % 3.00/3.21 (define @t174 () (forall @t31 @t173)) % 3.00/3.21 (define @t175 () (or @t85 @t84 @t89 @t174)) % 3.00/3.21 (define @t176 () (=> @t9 @t174)) % 3.00/3.21 (define @t177 () (not (= @t142 @t142))) % 3.00/3.21 (define @t178 () (or @t144 @t177 @t163)) % 3.00/3.21 (define @t179 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 3.00/3.21 (define @t180 () (and (tptp.in @t179 @t41) (= @t141 (tptp.apply @t2 @t179)))) % 3.00/3.21 (define @t181 () (not (= @t179 @t142))) % 3.00/3.21 (define @t182 () (or @t181 @t144 @t181 @t180)) % 3.00/3.21 (define @t183 () (@list @t179)) % 3.00/3.21 (define @t184 () (or @t144 @t181 @t180)) % 3.00/3.21 (define @t185 () (forall @t183 @t184)) % 3.00/3.21 (define @t186 () (forall @t145 @t185)) % 3.00/3.21 (define @t187 () (forall (@list @t141 @t179) @t184)) % 3.00/3.21 (define @t188 () (forall (@list @t179 @t141) @t184)) % 3.00/3.21 (define @t189 () (not (= @t166 @t166))) % 3.00/3.21 (define @t190 () (or @t148 @t189 @t167)) % 3.00/3.21 (define @t191 () (@var "BOUND_VARIABLE_7796" $$unsorted)) % 3.00/3.21 (define @t192 () (and (tptp.in @t191 @t15) (= @t146 (tptp.apply @t1 @t191)))) % 3.00/3.21 (define @t193 () (not (= @t191 @t166))) % 3.00/3.21 (define @t194 () (or @t193 @t148 @t193 @t192)) % 3.00/3.21 (define @t195 () (@list @t191)) % 3.00/3.21 (define @t196 () (or @t148 @t193 @t192)) % 3.00/3.21 (define @t197 () (forall @t195 @t196)) % 3.00/3.21 (define @t198 () (forall @t149 @t197)) % 3.00/3.21 (define @t199 () (forall (@list @t146 @t191) @t196)) % 3.00/3.21 (define @t200 () (not @t52)) % 3.00/3.21 (define @t201 () (not @t53)) % 3.00/3.21 (define @t202 () (or @t201 @t200 @t51)) % 3.00/3.21 (define @t203 () (forall @t56 @t202)) % 3.00/3.21 (define @t204 () (@list @t12 @t48)) % 3.00/3.21 (define @t205 () (not @t49)) % 3.00/3.21 (define @t206 () (not @t50)) % 3.00/3.21 (define @t207 () (or @t206 @t205 @t54)) % 3.00/3.21 (define @t208 () (forall @t56 @t207)) % 3.00/3.21 (define @t209 () (and @t208 @t203)) % 3.00/3.21 (define @t210 () (tptp.apply @t91 @t141)) % 3.00/3.21 (define @t211 () (tptp.relation_rng @t91)) % 3.00/3.21 (define @t212 () (tptp.relation_dom @t91)) % 3.00/3.21 (define @t213 () (forall @t145 (or (not (tptp.in @t141 @t212)) (and (tptp.in @t210 @t211) (= @t141 (tptp.apply @t92 @t210)))))) % 3.00/3.21 (define @t214 () (tptp.apply @t92 @t146)) % 3.00/3.21 (define @t215 () (forall @t149 (or (not (tptp.in @t146 @t211)) (and (tptp.in @t214 @t212) (= @t146 (tptp.apply @t91 @t214)))))) % 3.00/3.21 (define @t216 () (= @t111 @t211)) % 3.00/3.21 (define @t217 () (and @t216 @t215 @t213)) % 3.00/3.21 (define @t218 () (and (= @t211 @t111) @t215 @t213)) % 3.00/3.21 (define @t219 () (= @t218 (= @t92 @t92))) % 3.00/3.21 (define @t220 () (or @t99 @t97 @t96 @t115 @t114 @t219)) % 3.00/3.21 (define @t221 () (forall @t157 (or @t85 @t84 @t89 @t153 @t152 (= @t150 @t140)))) % 3.00/3.21 (define @t222 () (or @t99 @t97 @t96 @t115 @t114 @t217)) % 3.00/3.21 (define @t223 () (tptp.in @t118 @t211)) % 3.00/3.21 (define @t224 () (tptp.relation_composition @t92 @t91)) % 3.00/3.21 (define @t225 () (= @t118 (tptp.apply @t91 @t119))) % 3.00/3.21 (define @t226 () (and @t225 (= @t118 (tptp.apply @t224 @t118)))) % 3.00/3.21 (define @t227 () (not @t223)) % 3.00/3.21 (define @t228 () (or @t99 @t97 @t96 @t227 @t226)) % 3.00/3.21 (define @t229 () (@list false false false false false)) % 3.00/3.21 (define @t230 () (tptp.in @t120 @t211)) % 3.00/3.21 (define @t231 () (tptp.apply @t91 @t121)) % 3.00/3.21 (define @t232 () (= @t120 @t231)) % 3.00/3.21 (define @t233 () (and @t232 (= @t120 (tptp.apply @t224 @t120)))) % 3.00/3.21 (define @t234 () (not @t230)) % 3.00/3.21 (define @t235 () (or @t99 @t97 @t96 @t234 @t233)) % 3.00/3.21 (define @t236 () (not @t232)) % 3.00/3.21 (define @t237 () (not @t225)) % 3.00/3.21 (define @t238 () (and @t122 @t131 @t225)) % 3.00/3.21 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 3.00/3.21 (assume @p2 (forall @t7 (=> @t6 @t5))) % 3.00/3.21 (assume @p3 (forall @t7 (=> @t6 @t8))) % 3.00/3.21 (assume @p4 (forall @t7 (=> @t11 @t10))) % 3.00/3.21 (assume @p5 @t24) % 3.00/3.21 (assume @p6 @t27) % 3.00/3.21 (assume @p7 (forall @t4 (=> (and @t8 @t30) @t29))) % 3.00/3.21 (assume @p8 (forall @t7 (exists @t31 (tptp.element @t2 @t1)))) % 3.00/3.21 (assume @p9 (forall @t4 (=> @t33 (and (tptp.empty @t32) (tptp.relation @t32))))) % 3.00/3.21 (assume @p10 (and @t35 @t34 (tptp.relation_empty_yielding tptp.empty_set))) % 3.00/3.21 (assume @p11 (forall @t4 (=> (and @t8 @t5 @t30 @t36) (and @t29 (tptp.function @t28))))) % 3.00/3.21 (assume @p12 (forall @t7 (not (tptp.empty @t37)))) % 3.00/3.21 (assume @p13 @t35) % 3.00/3.21 (assume @p14 (and @t35 @t34)) % 3.00/3.21 (assume @p15 (forall @t7 (=> @t40 (not @t38)))) % 3.00/3.21 (assume @p16 (forall @t7 (=> @t40 (not @t42)))) % 3.00/3.21 (assume @p17 (forall @t7 (=> @t6 (and @t38 (tptp.relation @t15))))) % 3.00/3.21 (assume @p18 (forall @t7 (=> @t6 (and @t42 (tptp.relation @t41))))) % 3.00/3.21 (assume @p19 (forall @t4 (=> @t33 (and (tptp.empty @t28) @t29)))) % 3.00/3.21 (assume @p20 (exists @t7 @t22)) % 3.00/3.21 (assume @p21 (exists @t7 (and @t6 @t8))) % 3.00/3.21 (assume @p22 (forall @t7 (=> @t39 (exists @t31 (and @t44 (not @t43)))))) % 3.00/3.21 (assume @p23 (exists @t7 @t6)) % 3.00/3.21 (assume @p24 (exists @t7 @t11)) % 3.00/3.21 (assume @p25 (exists @t7 @t40)) % 3.00/3.21 (assume @p26 (forall @t7 (exists @t31 (and @t44 @t43)))) % 3.00/3.21 (assume @p27 (exists @t7 @t39)) % 3.00/3.21 (assume @p28 (exists @t7 @t10)) % 3.00/3.21 (assume @p29 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 3.00/3.21 (assume @p30 (forall @t4 (tptp.subset @t1 @t1))) % 3.00/3.21 (assume @p31 (forall @t4 (=> @t3 @t45))) % 3.00/3.21 (assume @p32 (forall @t4 (=> @t45 (or @t43 @t3)))) % 3.00/3.21 (assume @p33 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 3.00/3.21 (assume @p34 (forall @t47 (=> (and @t3 @t46) (tptp.element @t1 @t12)))) % 3.00/3.21 (assume @p35 @t67) % 3.00/3.21 (assume @p36 @t74) % 3.00/3.21 (assume @p37 (forall @t47 (not (and @t3 @t46 (tptp.empty @t12))))) % 3.00/3.21 (assume @p38 @t78) % 3.00/3.21 (assume @p39 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 3.00/3.21 (assume @p40 (forall @t4 (not (and @t3 @t43)))) % 3.00/3.21 (assume @p41 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t43)))) % 3.00/3.21 (assume @p42 true) % 3.00/3.21 (step @p43 :rule aci_norm :args ((= (or @t86 @t83) (or @t85 @t84 @t83)))) % 3.00/3.21 (step @p44 :rule refl :args (@t83)) % 3.00/3.21 (step @p45 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 3.00/3.21 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t87 @t83))) % 3.00/3.21 (step @p47 :rule trans :premises (@p46 @p43)) % 3.00/3.21 (step @p48 :rule bool-impl-elim :args (@t22 @t83)) % 3.00/3.21 (step @p49 :rule trans :premises (@p48 @p47)) % 3.00/3.21 (step @p50 :rule cong :premises (@p49) :args ((forall @t7 (=> @t22 @t83)))) % 3.00/3.21 (step @p51 :rule aci_norm :args ((= (or @t88 @t13) @t82))) % 3.00/3.21 (step @p52 :rule refl :args (@t13)) % 3.00/3.21 (step @p53 :rule aci_norm :args ((= (or @t81 (or @t80 @t79)) @t88))) % 3.00/3.21 (step @p54 :rule bool-and-de-morgan :args (@t16 @t14 true)) % 3.00/3.21 (step @p55 :rule refl :args (@t81)) % 3.00/3.21 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t81 (not (and @t16 @t14))))) % 3.00/3.21 (step @p57 :rule bool-and-de-morgan :args (@t17 @t16 (and @t14))) % 3.00/3.21 (step @p58 :rule trans :premises (@p57 @p56)) % 3.00/3.21 (step @p59 :rule trans :premises (@p58 @p53)) % 3.00/3.21 (step @p60 :rule nary_cong :premises (@p59 @p52) :args ((or (not @t18) @t13))) % 3.00/3.21 (step @p61 :rule trans :premises (@p60 @p51)) % 3.00/3.21 (step @p62 :rule bool-impl-elim :args (@t18 @t13)) % 3.00/3.21 (step @p63 :rule trans :premises (@p62 @p61)) % 3.00/3.21 (step @p64 :rule cong :premises (@p63) :args (@t20)) % 3.00/3.21 (step @p65 :rule refl :args (@t9)) % 3.00/3.21 (step @p66 :rule cong :premises (@p65 @p64) :args (@t21)) % 3.00/3.21 (step @p67 :rule refl :args (@t22)) % 3.00/3.21 (step @p68 :rule cong :premises (@p67 @p66) :args (@t23)) % 3.00/3.21 (step @p69 :rule cong :premises (@p68) :args (@t24)) % 3.00/3.21 (step @p70 :rule trans :premises (@p69 @p50)) % 3.00/3.21 (step @p71 :rule eq_resolve :premises (@p5 @p70)) % 3.00/3.21 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t92))) % 3.00/3.21 (step @p73 :rule aci_norm :args ((= (or @t86 @t26) (or @t85 @t84 @t26)))) % 3.00/3.21 (step @p74 :rule refl :args (@t26)) % 3.00/3.21 (step @p75 :rule nary_cong :premises (@p45 @p74) :args ((or @t87 @t26))) % 3.00/3.21 (step @p76 :rule trans :premises (@p75 @p73)) % 3.00/3.21 (step @p77 :rule bool-impl-elim :args (@t22 @t26)) % 3.00/3.21 (step @p78 :rule trans :premises (@p77 @p76)) % 3.00/3.21 (step @p79 :rule cong :premises (@p78) :args (@t27)) % 3.00/3.21 (step @p80 :rule eq_resolve :premises (@p6 @p79)) % 3.00/3.21 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t91))) % 3.00/3.21 (step @p82 :rule aci_norm :args ((= (or @t86 (or @t89 @t75)) @t90))) % 3.00/3.21 (step @p83 :rule bool-impl-elim :args (@t9 @t75)) % 3.00/3.21 (step @p84 :rule nary_cong :premises (@p45 @p83) :args ((or @t87 @t76))) % 3.00/3.21 (step @p85 :rule trans :premises (@p84 @p82)) % 3.00/3.21 (step @p86 :rule bool-impl-elim :args (@t22 @t76)) % 3.00/3.21 (step @p87 :rule trans :premises (@p86 @p85)) % 3.00/3.21 (step @p88 :rule cong :premises (@p87) :args (@t77)) % 3.00/3.21 (step @p89 :rule cong :premises (@p88) :args (@t78)) % 3.00/3.21 (step @p90 :rule eq_resolve :premises (@p38 @p89)) % 3.00/3.21 (step @p91 :rule skolemize :premises (@p90)) % 3.00/3.21 (step @p92 :rule bool-double-not-elim :args (@t93)) % 3.00/3.21 (step @p93 :rule refl :args (@t100)) % 3.00/3.21 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t100 (not @t97)))) % 3.00/3.21 (step @p95 :rule cnf_or_neg :args (@t100 1)) % 3.00/3.21 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 3.00/3.21 (step @p97 :rule reordering :premises (@p96) :args ((or @t93 @t100))) % 3.00/3.21 (step @p98 :rule chain_m_resolution :premises (@p97 @p91) :args (@t93 @t101 @t102)) % 3.00/3.21 (step @p99 :rule bool-double-not-elim :args (@t98)) % 3.00/3.21 (step @p100 :rule nary_cong :premises (@p93 @p99) :args ((or @t100 (not @t99)))) % 3.00/3.21 (step @p101 :rule cnf_or_neg :args (@t100 0)) % 3.00/3.21 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 3.00/3.21 (step @p103 :rule reordering :premises (@p102) :args ((or @t98 @t100))) % 3.00/3.21 (step @p104 :rule chain_m_resolution :premises (@p103 @p91) :args (@t98 @t101 @t102)) % 3.00/3.21 (step @p105 :rule cnf_or_pos :args (@t106)) % 3.00/3.21 (step @p106 :rule reordering :premises (@p105) :args ((or @t99 @t97 @t105 (not @t106)))) % 3.00/3.21 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p98 @p81) :args (@t105 @t107 (@list @t98 @t93 @t106))) % 3.00/3.21 (step @p108 :rule cnf_and_pos :args (@t105 1)) % 3.00/3.21 (step @p109 :rule reordering :premises (@p108) :args ((or @t103 @t108))) % 3.00/3.21 (step @p110 :rule chain_m_resolution :premises (@p109 @p107) :args (@t103 @t109 @t110)) % 3.00/3.21 (step @p111 :rule cnf_and_pos :args (@t105 0)) % 3.00/3.21 (step @p112 :rule reordering :premises (@p111) :args ((or @t104 @t108))) % 3.00/3.21 (step @p113 :rule chain_m_resolution :premises (@p112 @p107) :args (@t104 @t109 @t110)) % 3.00/3.21 (step @p114 :rule cnf_or_pos :args (@t116)) % 3.00/3.21 (step @p115 :rule reordering :premises (@p114) :args ((or @t115 @t114 @t113 (not @t116)))) % 3.00/3.21 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p110 @p72) :args (@t113 @t107 (@list @t104 @t103 @t116))) % 3.00/3.21 (step @p117 :rule cnf_or_neg :args (@t100 3)) % 3.00/3.21 (step @p118 :rule chain_m_resolution :premises (@p117 @p91) :args ((not @t94) @t101 @t102)) % 3.00/3.21 (step @p119 :rule cnf_equiv_pos2 :args (@t113)) % 3.00/3.21 (step @p120 :rule reordering :premises (@p119) :args ((or @t94 @t117 (not @t113)))) % 3.00/3.21 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p116) :args (@t117 (@list true false) (@list @t94 @t113))) % 3.00/3.21 (step @p122 :rule skolemize :premises (@p121)) % 3.00/3.21 (step @p123 :rule bool-double-not-elim :args (@t122)) % 3.00/3.21 (step @p124 :rule refl :args (@t129)) % 3.00/3.21 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t129 (not @t124)))) % 3.00/3.21 (step @p126 :rule cnf_or_neg :args (@t129 2)) % 3.00/3.21 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 3.00/3.21 (step @p128 :rule reordering :premises (@p127) :args ((or @t122 @t129))) % 3.00/3.21 (step @p129 :rule chain_m_resolution :premises (@p128 @p122) :args (@t122 @t101 @t130)) % 3.00/3.21 (step @p130 :rule cnf_or_neg :args (@t129 3)) % 3.00/3.21 (step @p131 :rule chain_m_resolution :premises (@p130 @p122) :args (@t131 @t101 @t130)) % 3.00/3.21 (step @p132 :rule aci_norm :args ((= (or @t137 @t136) (or @t135 @t134 @t133 @t132 @t69)))) % 3.00/3.21 (step @p133 :rule aci_norm :args ((= (or (or @t133 @t132) @t69) @t136))) % 3.00/3.21 (step @p134 :rule refl :args (@t69)) % 3.00/3.21 (step @p135 :rule bool-and-de-morgan :args (@t71 @t70 true)) % 3.00/3.21 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or (not @t72) @t69))) % 3.00/3.21 (step @p137 :rule trans :premises (@p136 @p133)) % 3.00/3.21 (step @p138 :rule bool-impl-elim :args (@t72 @t69)) % 3.00/3.21 (step @p139 :rule trans :premises (@p138 @p137)) % 3.00/3.21 (step @p140 :rule bool-and-de-morgan :args (@t30 @t36 true)) % 3.00/3.21 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t138 @t73))) % 3.00/3.21 (step @p142 :rule trans :premises (@p141 @p132)) % 3.00/3.21 (step @p143 :rule bool-impl-elim :args (@t62 @t73)) % 3.00/3.21 (step @p144 :rule trans :premises (@p143 @p142)) % 3.00/3.21 (step @p145 :rule cong :premises (@p144) :args (@t74)) % 3.00/3.21 (step @p146 :rule eq_resolve :premises (@p36 @p145)) % 3.00/3.21 (step @p147 :rule instantiate :premises (@p146) :args ((@list @t118 @t91))) % 3.00/3.21 (step @p148 :rule bool-double-not-elim :args (@t125)) % 3.00/3.21 (step @p149 :rule nary_cong :premises (@p124 @p148) :args ((or @t129 (not @t126)))) % 3.00/3.21 (step @p150 :rule cnf_or_neg :args (@t129 1)) % 3.00/3.21 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 3.00/3.21 (step @p152 :rule reordering :premises (@p151) :args ((or @t125 @t129))) % 3.00/3.21 (step @p153 :rule chain_m_resolution :premises (@p152 @p122) :args (@t125 @t101 @t130)) % 3.00/3.21 (step @p154 :rule true_intro :premises (@p153)) % 3.00/3.21 (step @p155 :rule eq-symm :args (@t140 @t150)) % 3.00/3.21 (step @p156 :rule refl :args (@t150)) % 3.00/3.21 (step @p157 :rule eq-symm :args (@t139 @t25)) % 3.00/3.21 (step @p158 :rule cong :premises (@p157 @p156) :args (@t151)) % 3.00/3.21 (step @p159 :rule trans :premises (@p158 @p155)) % 3.00/3.21 (step @p160 :rule refl :args (@t152)) % 3.00/3.21 (step @p161 :rule refl :args (@t153)) % 3.00/3.21 (step @p162 :rule refl :args (@t89)) % 3.00/3.21 (step @p163 :rule refl :args (@t84)) % 3.00/3.21 (step @p164 :rule refl :args (@t85)) % 3.00/3.21 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162 @p161 @p160 @p159) :args (@t154)) % 3.00/3.21 (step @p166 :rule aci_norm :args ((= @t156 @t154))) % 3.00/3.21 (step @p167 :rule trans :premises (@p166 @p165)) % 3.00/3.21 (step @p168 :rule cong :premises (@p167) :args (@t158)) % 3.00/3.21 (step @p169 :rule quant-merge-prenex :args ((= (forall @t7 @t160) @t158))) % 3.00/3.21 (step @p170 :rule alpha_equiv :args (@t161 (@list @t139) (@list @t2))) % 3.00/3.21 (step @p171 :rule refl :args (@t89)) % 3.00/3.21 (step @p172 :rule refl :args (@t84)) % 3.00/3.21 (step @p173 :rule refl :args (@t85)) % 3.00/3.21 (step @p174 :rule nary_cong :premises (@p173 @p172 @p171 @p170) :args (@t162)) % 3.00/3.21 (step @p175 :rule quant-miniscope-or :args ((= @t160 @t162))) % 3.00/3.21 (step @p176 :rule trans :premises (@p175 @p174)) % 3.00/3.21 (step @p177 :rule symm :premises (@p176)) % 3.00/3.21 (step @p178 :rule cong :premises (@p177) :args ((forall @t7 @t175))) % 3.00/3.21 (step @p179 :rule trans :premises (@p178 @p169)) % 3.00/3.21 (step @p180 :rule trans :premises (@p179 @p168)) % 3.00/3.21 (step @p181 :rule aci_norm :args ((= (or @t86 (or @t89 @t174)) @t175))) % 3.00/3.21 (step @p182 :rule bool-impl-elim :args (@t9 @t174)) % 3.00/3.21 (step @p183 :rule nary_cong :premises (@p45 @p182) :args ((or @t87 @t176))) % 3.00/3.21 (step @p184 :rule trans :premises (@p183 @p181)) % 3.00/3.21 (step @p185 :rule bool-impl-elim :args (@t22 @t176)) % 3.00/3.21 (step @p186 :rule trans :premises (@p185 @p184)) % 3.00/3.21 (step @p187 :rule cong :premises (@p186) :args ((forall @t7 (=> @t22 @t176)))) % 3.00/3.21 (step @p188 :rule trans :premises (@p187 @p180)) % 3.00/3.21 (step @p189 :rule aci_norm :args ((= (or @t137 @t172) @t173))) % 3.00/3.21 (step @p190 :rule refl :args (@t172)) % 3.00/3.21 (step @p191 :rule nary_cong :premises (@p140 @p190) :args ((or @t138 @t172))) % 3.00/3.21 (step @p192 :rule trans :premises (@p191 @p189)) % 3.00/3.21 (step @p193 :rule bool-impl-elim :args (@t62 @t172)) % 3.00/3.21 (step @p194 :rule trans :premises (@p193 @p192)) % 3.00/3.21 (step @p195 :rule cong :premises (@p194) :args ((forall @t31 (=> @t62 @t172)))) % 3.00/3.21 (step @p196 :rule aci_norm :args ((= (and @t170 (and @t169 @t165)) @t171))) % 3.00/3.21 (step @p197 :rule aci_norm :args ((= (or @t144 false @t163) @t164))) % 3.00/3.21 (step @p198 :rule refl :args (@t163)) % 3.00/3.21 (step @p199 :rule evaluate :args ((not true))) % 3.00/3.21 (step @p200 :rule eq-refl :args (@t142)) % 3.00/3.21 (step @p201 :rule cong :premises (@p200) :args (@t177)) % 3.00/3.21 (step @p202 :rule trans :premises (@p201 @p199)) % 3.00/3.21 (step @p203 :rule refl :args (@t144)) % 3.00/3.21 (step @p204 :rule nary_cong :premises (@p203 @p202 @p198) :args (@t178)) % 3.00/3.21 (step @p205 :rule trans :premises (@p204 @p197)) % 3.00/3.21 (step @p206 :rule cong :premises (@p205) :args ((forall @t145 @t178))) % 3.00/3.21 (step @p207 :rule quant-var-elim-eq :args ((= (forall @t183 @t182) @t178))) % 3.00/3.21 (step @p208 :rule aci_norm :args ((= @t184 @t182))) % 3.00/3.21 (step @p209 :rule cong :premises (@p208) :args (@t185)) % 3.00/3.21 (step @p210 :rule trans :premises (@p209 @p207)) % 3.00/3.21 (step @p211 :rule cong :premises (@p210) :args (@t186)) % 3.00/3.21 (step @p212 :rule quant-merge-prenex :args ((= @t186 @t187))) % 3.00/3.21 (step @p213 :rule symm :premises (@p212)) % 3.00/3.21 (step @p214 :rule quant_var_reordering :args ((= @t188 @t187))) % 3.00/3.21 (step @p215 :rule trans :premises (@p214 @p213 @p211)) % 3.00/3.21 (step @p216 :rule trans :premises (@p215 @p206)) % 3.00/3.21 (step @p217 :rule aci_norm :args ((= (or @t148 false @t167) @t168))) % 3.00/3.21 (step @p218 :rule refl :args (@t167)) % 3.00/3.21 (step @p219 :rule eq-refl :args (@t166)) % 3.00/3.21 (step @p220 :rule cong :premises (@p219) :args (@t189)) % 3.00/3.21 (step @p221 :rule trans :premises (@p220 @p199)) % 3.00/3.21 (step @p222 :rule refl :args (@t148)) % 3.00/3.21 (step @p223 :rule nary_cong :premises (@p222 @p221 @p218) :args (@t190)) % 3.00/3.21 (step @p224 :rule trans :premises (@p223 @p217)) % 3.00/3.21 (step @p225 :rule cong :premises (@p224) :args ((forall @t149 @t190))) % 3.00/3.21 (step @p226 :rule quant-var-elim-eq :args ((= (forall @t195 @t194) @t190))) % 3.00/3.21 (step @p227 :rule aci_norm :args ((= @t196 @t194))) % 3.00/3.21 (step @p228 :rule cong :premises (@p227) :args (@t197)) % 3.00/3.21 (step @p229 :rule trans :premises (@p228 @p226)) % 3.00/3.21 (step @p230 :rule cong :premises (@p229) :args (@t198)) % 3.00/3.21 (step @p231 :rule quant-merge-prenex :args ((= @t198 @t199))) % 3.00/3.21 (step @p232 :rule symm :premises (@p231)) % 3.00/3.21 (step @p233 :rule trans :premises (@p232 @p230)) % 3.00/3.21 (step @p234 :rule trans :premises (@p233 @p225)) % 3.00/3.21 (step @p235 :rule nary_cong :premises (@p234 @p216) :args ((and @t199 @t188))) % 3.00/3.21 (step @p236 :rule alpha_equiv :args (@t203 @t204 (@list @t179 @t141))) % 3.00/3.21 (step @p237 :rule alpha_equiv :args (@t208 @t204 (@list @t146 @t191))) % 3.00/3.21 (step @p238 :rule nary_cong :premises (@p237 @p236) :args (@t209)) % 3.00/3.21 (step @p239 :rule quant-miniscope-and :args ((= (forall @t56 (and @t207 @t202)) @t209))) % 3.00/3.21 (step @p240 :rule trans :premises (@p239 @p238)) % 3.00/3.21 (step @p241 :rule trans :premises (@p240 @p235)) % 3.00/3.21 (step @p242 :rule aci_norm :args ((= (or (or @t201 @t200) @t51) @t202))) % 3.00/3.21 (step @p243 :rule refl :args (@t51)) % 3.00/3.21 (step @p244 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 3.00/3.21 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or (not @t54) @t51))) % 3.00/3.21 (step @p246 :rule trans :premises (@p245 @p242)) % 3.00/3.21 (step @p247 :rule bool-impl-elim :args (@t54 @t51)) % 3.00/3.21 (step @p248 :rule trans :premises (@p247 @p246)) % 3.00/3.21 (step @p249 :rule aci_norm :args ((= (or (or @t206 @t205) @t54) @t207))) % 3.00/3.21 (step @p250 :rule refl :args (@t54)) % 3.00/3.21 (step @p251 :rule bool-and-de-morgan :args (@t50 @t49 true)) % 3.00/3.21 (step @p252 :rule nary_cong :premises (@p251 @p250) :args ((or (not @t51) @t54))) % 3.00/3.21 (step @p253 :rule trans :premises (@p252 @p249)) % 3.00/3.21 (step @p254 :rule bool-impl-elim :args (@t51 @t54)) % 3.00/3.21 (step @p255 :rule trans :premises (@p254 @p253)) % 3.00/3.21 (step @p256 :rule nary_cong :premises (@p255 @p248) :args (@t55)) % 3.00/3.21 (step @p257 :rule cong :premises (@p256) :args (@t57)) % 3.00/3.21 (step @p258 :rule trans :premises (@p257 @p241)) % 3.00/3.21 (step @p259 :rule eq-symm :args (@t58 @t41)) % 3.00/3.21 (step @p260 :rule nary_cong :premises (@p259 @p258) :args (@t59)) % 3.00/3.21 (step @p261 :rule trans :premises (@p260 @p196)) % 3.00/3.21 (step @p262 :rule refl :args (@t60)) % 3.00/3.21 (step @p263 :rule cong :premises (@p262 @p261) :args (@t61)) % 3.00/3.21 (step @p264 :rule refl :args (@t62)) % 3.00/3.21 (step @p265 :rule cong :premises (@p264 @p263) :args (@t63)) % 3.00/3.21 (step @p266 :rule cong :premises (@p265) :args (@t64)) % 3.00/3.21 (step @p267 :rule trans :premises (@p266 @p195)) % 3.00/3.21 (step @p268 :rule cong :premises (@p65 @p267) :args (@t65)) % 3.00/3.21 (step @p269 :rule cong :premises (@p67 @p268) :args (@t66)) % 3.00/3.21 (step @p270 :rule cong :premises (@p269) :args (@t67)) % 3.00/3.21 (step @p271 :rule trans :premises (@p270 @p188)) % 3.00/3.21 (step @p272 :rule eq_resolve :premises (@p35 @p271)) % 3.00/3.21 (step @p273 :rule bool-eq-true :args (@t217)) % 3.00/3.21 (step @p274 :rule eq-refl :args (@t92)) % 3.00/3.21 (step @p275 :rule refl :args (@t213)) % 3.00/3.21 (step @p276 :rule refl :args (@t215)) % 3.00/3.21 (step @p277 :rule eq-symm :args (@t211 @t111)) % 3.00/3.21 (step @p278 :rule nary_cong :premises (@p277 @p276 @p275) :args (@t218)) % 3.00/3.21 (step @p279 :rule cong :premises (@p278 @p274) :args (@t219)) % 3.00/3.21 (step @p280 :rule trans :premises (@p279 @p273)) % 3.00/3.21 (step @p281 :rule refl :args (@t114)) % 3.00/3.21 (step @p282 :rule refl :args (@t115)) % 3.00/3.21 (step @p283 :rule refl :args (@t96)) % 3.00/3.21 (step @p284 :rule refl :args (@t97)) % 3.00/3.21 (step @p285 :rule refl :args (@t99)) % 3.00/3.21 (step @p286 :rule nary_cong :premises (@p285 @p284 @p283 @p282 @p281 @p280) :args (@t220)) % 3.00/3.21 (step @p287 :rule refl :args (@t221)) % 3.00/3.21 (step @p288 :rule cong :premises (@p287 @p286) :args ((=> @t221 @t220))) % 3.00/3.21 (assume-push @p362 @t221) % 3.00/3.21 (step @p290 :rule instantiate :premises (@p272) :args ((@list @t91 @t92))) % 3.00/3.21 (step-pop @p363 :rule scope :premises (@p290)) % 3.00/3.21 (step @p291 :rule process_scope :premises (@p363) :args (@t220)) % 3.00/3.21 (step @p293 :rule eq_resolve :premises (@p291 @p288)) % 3.00/3.21 (step @p294 :rule implies_elim :premises (@p293)) % 3.00/3.21 (step @p295 :rule chain_m_resolution :premises (@p294 @p272) :args (@t222 @t109 (@list @t221))) % 3.00/3.21 (step @p296 :rule bool-double-not-elim :args (@t95)) % 3.00/3.21 (step @p297 :rule nary_cong :premises (@p93 @p296) :args ((or @t100 (not @t96)))) % 3.00/3.21 (step @p298 :rule cnf_or_neg :args (@t100 2)) % 3.00/3.21 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 3.00/3.21 (step @p300 :rule reordering :premises (@p299) :args ((or @t95 @t100))) % 3.00/3.21 (step @p301 :rule chain_m_resolution :premises (@p300 @p91) :args (@t95 @t101 @t102)) % 3.00/3.21 (step @p302 :rule cnf_or_pos :args (@t222)) % 3.00/3.21 (step @p303 :rule reordering :premises (@p302) :args ((or @t99 @t97 @t96 @t115 @t114 @t217 (not @t222)))) % 3.00/3.21 (step @p304 :rule chain_m_resolution :premises (@p303 @p104 @p98 @p301 @p113 @p110 @p295) :args (@t217 (@list false false false false false false) (@list @t98 @t93 @t95 @t104 @t103 @t222))) % 3.00/3.21 (step @p305 :rule cnf_and_pos :args (@t217 0)) % 3.00/3.21 (step @p306 :rule reordering :premises (@p305) :args ((or @t216 (not @t217)))) % 3.00/3.21 (step @p307 :rule chain_m_resolution :premises (@p306 @p304) :args (@t216 @t109 (@list @t217))) % 3.00/3.21 (step @p308 :rule symm :premises (@p307)) % 3.00/3.23 (step @p309 :rule refl :args (@t118)) % 3.00/3.23 (step @p310 :rule cong :premises (@p309 @p308) :args (@t223)) % 3.00/3.23 (step @p311 :rule trans :premises (@p310 @p154)) % 3.00/3.23 (step @p312 :rule true_elim :premises (@p311)) % 3.00/3.23 (step @p313 :rule cnf_or_pos :args (@t228)) % 3.00/3.23 (step @p314 :rule reordering :premises (@p313) :args ((or @t99 @t97 @t96 @t227 @t226 (not @t228)))) % 3.00/3.23 (step @p315 :rule chain_m_resolution :premises (@p314 @p104 @p98 @p301 @p312 @p147) :args (@t226 @t229 (@list @t98 @t93 @t95 @t223 @t228))) % 3.00/3.23 (step @p316 :rule cnf_and_pos :args (@t226 0)) % 3.00/3.23 (step @p317 :rule reordering :premises (@p316) :args ((or @t225 (not @t226)))) % 3.00/3.23 (step @p318 :rule chain_m_resolution :premises (@p317 @p315) :args (@t225 @t109 (@list @t226))) % 3.00/3.23 (step @p319 :rule instantiate :premises (@p146) :args ((@list @t120 @t91))) % 3.00/3.23 (step @p320 :rule bool-double-not-elim :args (@t127)) % 3.00/3.23 (step @p321 :rule nary_cong :premises (@p124 @p320) :args ((or @t129 (not @t128)))) % 3.00/3.23 (step @p322 :rule cnf_or_neg :args (@t129 0)) % 3.00/3.23 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 3.00/3.23 (step @p324 :rule reordering :premises (@p323) :args ((or @t127 @t129))) % 3.00/3.23 (step @p325 :rule chain_m_resolution :premises (@p324 @p122) :args (@t127 @t101 @t130)) % 3.00/3.23 (step @p326 :rule true_intro :premises (@p325)) % 3.00/3.23 (step @p327 :rule refl :args (@t120)) % 3.00/3.23 (step @p328 :rule cong :premises (@p327 @p308) :args (@t230)) % 3.00/3.23 (step @p329 :rule trans :premises (@p328 @p326)) % 3.00/3.23 (step @p330 :rule true_elim :premises (@p329)) % 3.00/3.23 (step @p331 :rule cnf_or_pos :args (@t235)) % 3.00/3.23 (step @p332 :rule reordering :premises (@p331) :args ((or @t99 @t97 @t96 @t234 @t233 (not @t235)))) % 3.00/3.23 (step @p333 :rule chain_m_resolution :premises (@p332 @p104 @p98 @p301 @p330 @p319) :args (@t233 @t229 (@list @t98 @t93 @t95 @t230 @t235))) % 3.00/3.23 (step @p334 :rule cnf_and_pos :args (@t233 0)) % 3.00/3.23 (step @p335 :rule reordering :premises (@p334) :args ((or @t232 (not @t233)))) % 3.00/3.23 (step @p336 :rule chain_m_resolution :premises (@p335 @p333) :args (@t232 @t109 (@list @t233))) % 3.00/3.23 (step @p337 :rule refl :args (@t236)) % 3.00/3.23 (step @p338 :rule refl :args (@t237)) % 3.00/3.23 (step @p339 :rule bool-double-not-elim :args (@t123)) % 3.00/3.23 (step @p340 :rule refl :args (@t124)) % 3.00/3.23 (step @p341 :rule nary_cong :premises (@p340 @p339 @p338 @p337) :args ((or @t124 (not @t131) @t237 @t236))) % 3.00/3.23 (assume-push @p364 @t122) % 3.00/3.23 (assume-push @p365 @t131) % 3.00/3.23 (assume-push @p366 @t225) % 3.00/3.23 (step @p345 :rule false_intro :premises (@p131)) % 3.00/3.23 (step @p346 :rule symm :premises (@p318)) % 3.00/3.23 (step @p347 :rule refl :args (@t91)) % 3.00/3.23 (step @p348 :rule cong :premises (@p347 @p129) :args (@t231)) % 3.00/3.23 (step @p349 :rule trans :premises (@p348 @p346)) % 3.00/3.23 (step @p350 :rule cong :premises (@p327 @p349) :args (@t232)) % 3.00/3.23 (step @p351 :rule trans :premises (@p350 @p345)) % 3.00/3.23 (step @p352 :rule false_elim :premises (@p351)) % 3.00/3.23 (step-pop @p367 :rule scope :premises (@p352)) % 3.00/3.23 (step-pop @p368 :rule scope :premises (@p367)) % 3.00/3.23 (step-pop @p369 :rule scope :premises (@p368)) % 3.00/3.23 (step @p353 :rule process_scope :premises (@p369) :args (@t236)) % 3.00/3.23 (step @p357 :rule implies_elim :premises (@p353)) % 3.00/3.23 (step @p358 :rule cnf_and_neg :args (@t238)) % 3.00/3.23 (step @p359 :rule resolution :premises (@p358 @p357) :args (true @t238)) % 3.00/3.23 (step @p360 :rule eq_resolve :premises (@p359 @p341)) % 3.00/3.23 (step @p361 false :rule chain_m_resolution :premises (@p360 @p336 @p318 @p131 @p129) :args (false (@list false false true false) (@list @t232 @t225 @t123 @t122))) % 3.00/3.23 ) % 3.00/3.23 % SZS output end Proof % 3.00/3.23 % cvc5 exiting %------------------------------------------------------------------------------