%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU215+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:50:58 AM UTC 2026 % Result : Theorem 16.03s 16.65s % Output : Proof 16.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU215+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n013.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:39:00 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.03/16.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.03/16.65 --- Run --no-e-matching --full-saturate-quant at 6... % 16.03/16.65 % SZS status Theorem % 16.03/16.65 % SZS output start Proof % 16.03/16.65 ( % 16.03/16.65 (declare-sort $$unsorted 0) % 16.03/16.65 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.03/16.65 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 16.03/16.65 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 16.03/16.65 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.65 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.65 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.65 (declare-const tptp.relation (-> $$unsorted Bool)) % 16.03/16.65 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.03/16.65 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 16.03/16.65 (declare-const tptp.function (-> $$unsorted Bool)) % 16.03/16.65 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.65 (declare-const tptp.empty_set $$unsorted) % 16.03/16.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.03/16.65 (define @t1 () (@var "A" $$unsorted)) % 16.03/16.65 (define @t2 () (@var "B" $$unsorted)) % 16.03/16.65 (define @t3 () (tptp.in @t1 @t2)) % 16.03/16.65 (define @t4 () (@list @t1 @t2)) % 16.03/16.65 (define @t5 () (tptp.function @t1)) % 16.03/16.65 (define @t6 () (tptp.empty @t1)) % 16.03/16.65 (define @t7 () (@list @t1)) % 16.03/16.65 (define @t8 () (tptp.relation @t1)) % 16.03/16.65 (define @t9 () (tptp.unordered_pair @t1 @t2)) % 16.03/16.65 (define @t10 () (@var "C" $$unsorted)) % 16.03/16.65 (define @t11 () (= @t10 (tptp.apply @t1 @t2))) % 16.03/16.65 (define @t12 () (= @t11 (= @t10 tptp.empty_set))) % 16.03/16.65 (define @t13 () (tptp.relation_dom @t1)) % 16.03/16.65 (define @t14 () (tptp.in @t2 @t13)) % 16.03/16.65 (define @t15 () (not @t14)) % 16.03/16.65 (define @t16 () (=> @t15 @t12)) % 16.03/16.65 (define @t17 () (= @t11 (tptp.in (tptp.ordered_pair @t2 @t10) @t1))) % 16.03/16.65 (define @t18 () (=> @t14 @t17)) % 16.03/16.65 (define @t19 () (and @t18 @t16)) % 16.03/16.65 (define @t20 () (@list @t2 @t10)) % 16.03/16.65 (define @t21 () (forall @t20 @t19)) % 16.03/16.65 (define @t22 () (and @t8 @t5)) % 16.03/16.65 (define @t23 () (=> @t22 @t21)) % 16.03/16.65 (define @t24 () (forall @t7 @t23)) % 16.03/16.65 (define @t25 () (tptp.singleton @t1)) % 16.03/16.65 (define @t26 () (tptp.ordered_pair @t1 @t2)) % 16.03/16.65 (define @t27 () (tptp.relation_composition @t1 @t2)) % 16.03/16.65 (define @t28 () (tptp.relation @t27)) % 16.03/16.65 (define @t29 () (tptp.relation @t2)) % 16.03/16.65 (define @t30 () (tptp.relation_composition @t2 @t1)) % 16.03/16.65 (define @t31 () (and @t6 @t29)) % 16.03/16.65 (define @t32 () (tptp.relation tptp.empty_set)) % 16.03/16.65 (define @t33 () (tptp.empty tptp.empty_set)) % 16.03/16.65 (define @t34 () (and @t28 (tptp.function @t27))) % 16.03/16.65 (define @t35 () (tptp.function @t2)) % 16.03/16.65 (define @t36 () (and @t8 @t5 @t29 @t35)) % 16.03/16.65 (define @t37 () (forall @t4 (=> @t36 @t34))) % 16.03/16.65 (define @t38 () (tptp.empty @t13)) % 16.03/16.65 (define @t39 () (not @t6)) % 16.03/16.65 (define @t40 () (and @t39 @t8)) % 16.03/16.65 (define @t41 () (and @t6 @t8)) % 16.03/16.65 (define @t42 () (exists @t7 @t41)) % 16.03/16.65 (define @t43 () (tptp.element @t1 @t2)) % 16.03/16.65 (define @t44 () (tptp.relation_dom @t2)) % 16.03/16.65 (define @t45 () (tptp.apply @t10 @t1)) % 16.03/16.65 (define @t46 () (tptp.relation_composition @t10 @t2)) % 16.03/16.65 (define @t47 () (tptp.in @t1 (tptp.relation_dom @t46))) % 16.03/16.65 (define @t48 () (= @t47 (and (tptp.in @t1 (tptp.relation_dom @t10)) (tptp.in @t45 @t44)))) % 16.03/16.65 (define @t49 () (tptp.function @t10)) % 16.03/16.65 (define @t50 () (tptp.relation @t10)) % 16.03/16.65 (define @t51 () (and @t50 @t49)) % 16.03/16.65 (define @t52 () (@list @t10)) % 16.03/16.65 (define @t53 () (forall @t52 (=> @t51 @t48))) % 16.03/16.65 (define @t54 () (and @t29 @t35)) % 16.03/16.65 (define @t55 () (=> @t54 @t53)) % 16.03/16.65 (define @t56 () (forall @t4 @t55)) % 16.03/16.65 (define @t57 () (= (tptp.apply @t46 @t1) (tptp.apply @t2 @t45))) % 16.03/16.65 (define @t58 () (=> @t47 @t57)) % 16.03/16.65 (define @t59 () (forall @t52 (=> @t51 @t58))) % 16.03/16.65 (define @t60 () (=> @t54 @t59)) % 16.03/16.65 (define @t61 () (forall @t4 @t60)) % 16.03/16.65 (define @t62 () (tptp.apply @t2 @t1)) % 16.03/16.65 (define @t63 () (= (tptp.apply (tptp.relation_composition @t2 @t10) @t1) (tptp.apply @t10 @t62))) % 16.03/16.65 (define @t64 () (tptp.in @t1 @t44)) % 16.03/16.65 (define @t65 () (=> @t64 @t63)) % 16.03/16.65 (define @t66 () (forall @t52 (=> @t51 @t65))) % 16.03/16.65 (define @t67 () (=> @t54 @t66)) % 16.03/16.65 (define @t68 () (forall @t4 @t67)) % 16.03/16.65 (define @t69 () (not @t68)) % 16.03/16.65 (define @t70 () (tptp.empty @t2)) % 16.03/16.65 (define @t71 () (= @t1 tptp.empty_set)) % 16.03/16.65 (define @t72 () (forall @t7 (=> @t6 @t71))) % 16.03/16.65 (define @t73 () (not @t8)) % 16.03/16.65 (define @t74 () (@quantifiers_skolemize (forall @t7 (or @t39 @t73)) 0)) % 16.03/16.65 (define @t75 () (tptp.empty @t74)) % 16.03/16.65 (define @t76 () (not @t75)) % 16.03/16.65 (define @t77 () (or @t76 (= @t74 tptp.empty_set))) % 16.03/16.65 (define @t78 () (forall @t7 (or @t39 @t71))) % 16.03/16.65 (define @t79 () (= tptp.empty_set @t74)) % 16.03/16.65 (define @t80 () (or @t76 @t79)) % 16.03/16.65 (define @t81 () (@list false)) % 16.03/16.65 (define @t82 () (forall @t7 (not @t41))) % 16.03/16.65 (define @t83 () (not @t82)) % 16.03/16.65 (define @t84 () (or @t76 (not (tptp.relation @t74)))) % 16.03/16.65 (define @t85 () (@list true)) % 16.03/16.65 (define @t86 () (@var "BOUND_VARIABLE_7653" $$unsorted)) % 16.03/16.65 (define @t87 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 16.03/16.65 (define @t88 () (or (tptp.in @t87 @t13) (= (= @t86 (tptp.apply @t1 @t87)) (= tptp.empty_set @t86)))) % 16.03/16.65 (define @t89 () (@var "BOUND_VARIABLE_7641" $$unsorted)) % 16.03/16.65 (define @t90 () (@var "BOUND_VARIABLE_7639" $$unsorted)) % 16.03/16.65 (define @t91 () (or (not (tptp.in @t90 @t13)) (= (= @t89 (tptp.apply @t1 @t90)) (tptp.in (tptp.ordered_pair @t90 @t89) @t1)))) % 16.03/16.65 (define @t92 () (and @t91 @t88)) % 16.03/16.65 (define @t93 () (not @t5)) % 16.03/16.65 (define @t94 () (or @t73 @t93 @t92)) % 16.03/16.65 (define @t95 () (forall (@list @t1 @t90 @t89 @t87 @t86) @t94)) % 16.03/16.65 (define @t96 () (@list @t90 @t89 @t87 @t86)) % 16.03/16.65 (define @t97 () (forall @t96 @t94)) % 16.03/16.65 (define @t98 () (forall (@list @t87 @t86) @t88)) % 16.03/16.65 (define @t99 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 16.03/16.65 (define @t100 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 16.03/16.65 (define @t101 () (@list @t100 @t99)) % 16.03/16.65 (define @t102 () (forall @t96 @t88)) % 16.03/16.65 (define @t103 () (forall (@list @t90 @t89) @t91)) % 16.03/16.65 (define @t104 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 16.03/16.65 (define @t105 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 16.03/16.65 (define @t106 () (@list @t105 @t104)) % 16.03/16.65 (define @t107 () (forall @t96 @t91)) % 16.03/16.65 (define @t108 () (and @t107 @t102)) % 16.03/16.65 (define @t109 () (forall @t96 @t92)) % 16.03/16.65 (define @t110 () (or @t73 @t93 @t109)) % 16.03/16.65 (define @t111 () (and (forall (@list @t105 @t104) (or (not (tptp.in @t105 @t13)) (= (= @t104 (tptp.apply @t1 @t105)) (tptp.in (tptp.ordered_pair @t105 @t104) @t1)))) (forall (@list @t100 @t99) (or (tptp.in @t100 @t13) (= (= @t99 (tptp.apply @t1 @t100)) (= tptp.empty_set @t99)))))) % 16.03/16.65 (define @t112 () (or @t73 @t93 @t111)) % 16.03/16.65 (define @t113 () (= @t11 (= tptp.empty_set @t10))) % 16.03/16.65 (define @t114 () (or @t14 @t113)) % 16.03/16.65 (define @t115 () (forall @t20 @t114)) % 16.03/16.65 (define @t116 () (@list @t2 @t10)) % 16.03/16.65 (define @t117 () (or @t15 @t17)) % 16.03/16.65 (define @t118 () (forall @t20 @t117)) % 16.03/16.65 (define @t119 () (and @t118 @t115)) % 16.03/16.65 (define @t120 () (and @t18 (=> @t15 @t113))) % 16.03/16.65 (define @t121 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 16.03/16.65 (define @t122 () (= (tptp.apply (tptp.relation_composition @t2 @t121) @t1) (tptp.apply @t121 @t62))) % 16.03/16.65 (define @t123 () (not (tptp.function @t121))) % 16.03/16.65 (define @t124 () (not (tptp.relation @t121))) % 16.03/16.65 (define @t125 () (not @t64)) % 16.03/16.65 (define @t126 () (not @t35)) % 16.03/16.65 (define @t127 () (not @t29)) % 16.03/16.65 (define @t128 () (or @t127 @t126 @t125 @t124 @t123 @t122)) % 16.03/16.65 (define @t129 () (@list @t1 @t2 @t121)) % 16.03/16.65 (define @t130 () (forall @t129 @t128)) % 16.03/16.65 (define @t131 () (@quantifiers_skolemize @t130 0)) % 16.03/16.65 (define @t132 () (@quantifiers_skolemize @t130 1)) % 16.03/16.65 (define @t133 () (tptp.apply @t132 @t131)) % 16.03/16.65 (define @t134 () (@quantifiers_skolemize @t130 2)) % 16.03/16.65 (define @t135 () (tptp.apply @t134 @t133)) % 16.03/16.65 (define @t136 () (= tptp.empty_set @t135)) % 16.03/16.65 (define @t137 () (= @t135 @t135)) % 16.03/16.65 (define @t138 () (tptp.relation_dom @t134)) % 16.03/16.65 (define @t139 () (tptp.in @t133 @t138)) % 16.03/16.65 (define @t140 () (or @t139 (= @t137 @t136))) % 16.03/16.65 (define @t141 () (tptp.ordered_pair tptp.empty_set tptp.empty_set)) % 16.03/16.65 (define @t142 () (or (not (tptp.in tptp.empty_set @t138)) (= (= tptp.empty_set (tptp.apply @t134 tptp.empty_set)) (tptp.in @t141 @t134)))) % 16.03/16.65 (define @t143 () (and @t142 @t140)) % 16.03/16.65 (define @t144 () (tptp.function @t134)) % 16.03/16.65 (define @t145 () (not @t144)) % 16.03/16.65 (define @t146 () (tptp.relation @t134)) % 16.03/16.65 (define @t147 () (not @t146)) % 16.03/16.65 (define @t148 () (or @t147 @t145 @t143)) % 16.03/16.65 (define @t149 () (or @t139 @t136)) % 16.03/16.65 (define @t150 () (and @t142 @t149)) % 16.03/16.65 (define @t151 () (or @t147 @t145 @t150)) % 16.03/16.65 (define @t152 () (@list @t95)) % 16.03/16.65 (define @t153 () (or @t124 @t123 @t122)) % 16.03/16.65 (define @t154 () (or @t127 @t126 @t125 @t153)) % 16.03/16.65 (define @t155 () (forall @t129 @t154)) % 16.03/16.65 (define @t156 () (@list @t121)) % 16.03/16.65 (define @t157 () (forall @t156 @t154)) % 16.03/16.65 (define @t158 () (forall @t156 @t153)) % 16.03/16.65 (define @t159 () (@list @t10)) % 16.03/16.65 (define @t160 () (or @t127 @t126 @t125 @t158)) % 16.03/16.65 (define @t161 () (not @t49)) % 16.03/16.65 (define @t162 () (not @t50)) % 16.03/16.65 (define @t163 () (or @t162 @t161 @t63)) % 16.03/16.65 (define @t164 () (forall @t52 @t163)) % 16.03/16.65 (define @t165 () (or @t127 @t126 @t125 @t164)) % 16.03/16.65 (define @t166 () (or @t125 @t164)) % 16.03/16.65 (define @t167 () (or @t127 @t126)) % 16.03/16.65 (define @t168 () (not @t54)) % 16.03/16.65 (define @t169 () (or @t125 @t163)) % 16.03/16.65 (define @t170 () (or @t162 @t161 @t125 @t63)) % 16.03/16.65 (define @t171 () (or @t162 @t161)) % 16.03/16.65 (define @t172 () (not @t51)) % 16.03/16.65 (define @t173 () (tptp.relation_composition @t132 @t134)) % 16.03/16.65 (define @t174 () (tptp.apply @t173 @t131)) % 16.03/16.65 (define @t175 () (= @t174 @t135)) % 16.03/16.65 (define @t176 () (tptp.in @t131 (tptp.relation_dom @t132))) % 16.03/16.65 (define @t177 () (not @t176)) % 16.03/16.65 (define @t178 () (tptp.function @t132)) % 16.03/16.65 (define @t179 () (not @t178)) % 16.03/16.65 (define @t180 () (tptp.relation @t132)) % 16.03/16.65 (define @t181 () (not @t180)) % 16.03/16.65 (define @t182 () (or @t181 @t179 @t177 @t147 @t145 @t175)) % 16.03/16.65 (define @t183 () (@list @t182)) % 16.03/16.65 (define @t184 () (@list false false false)) % 16.03/16.65 (define @t185 () (@var "BOUND_VARIABLE_7748" $$unsorted)) % 16.03/16.65 (define @t186 () (= (tptp.in @t1 (tptp.relation_dom (tptp.relation_composition @t185 @t2))) (and (tptp.in @t1 (tptp.relation_dom @t185)) (tptp.in (tptp.apply @t185 @t1) @t44)))) % 16.03/16.65 (define @t187 () (not (tptp.function @t185))) % 16.03/16.65 (define @t188 () (not (tptp.relation @t185))) % 16.03/16.65 (define @t189 () (or @t188 @t187 @t186)) % 16.03/16.65 (define @t190 () (or @t127 @t126 @t189)) % 16.03/16.65 (define @t191 () (forall (@list @t1 @t2 @t185) @t190)) % 16.03/16.65 (define @t192 () (@list @t185)) % 16.03/16.65 (define @t193 () (forall @t192 @t190)) % 16.03/16.65 (define @t194 () (forall @t192 @t189)) % 16.03/16.65 (define @t195 () (or @t127 @t126 @t194)) % 16.03/16.65 (define @t196 () (or @t162 @t161 @t48)) % 16.03/16.65 (define @t197 () (forall @t52 @t196)) % 16.03/16.65 (define @t198 () (or @t127 @t126 @t197)) % 16.03/16.65 (define @t199 () (@list @t131 @t134 @t132)) % 16.03/16.65 (define @t200 () (and @t176 @t139)) % 16.03/16.65 (define @t201 () (tptp.relation_dom @t173)) % 16.03/16.65 (define @t202 () (tptp.in @t131 @t201)) % 16.03/16.65 (define @t203 () (= @t202 @t200)) % 16.03/16.65 (define @t204 () (or @t147 @t145 @t181 @t179 @t203)) % 16.03/16.65 (define @t205 () (@list false false false false false)) % 16.03/16.65 (define @t206 () (@var "BOUND_VARIABLE_7778" $$unsorted)) % 16.03/16.65 (define @t207 () (tptp.relation_composition @t206 @t2)) % 16.03/16.65 (define @t208 () (= (tptp.apply @t207 @t1) (tptp.apply @t2 (tptp.apply @t206 @t1)))) % 16.03/16.65 (define @t209 () (not (tptp.in @t1 (tptp.relation_dom @t207)))) % 16.03/16.65 (define @t210 () (not (tptp.function @t206))) % 16.03/16.65 (define @t211 () (not (tptp.relation @t206))) % 16.03/16.65 (define @t212 () (or @t211 @t210 @t209 @t208)) % 16.03/16.65 (define @t213 () (or @t127 @t126 @t212)) % 16.03/16.65 (define @t214 () (forall (@list @t1 @t2 @t206) @t213)) % 16.03/16.65 (define @t215 () (@list @t206)) % 16.03/16.65 (define @t216 () (forall @t215 @t213)) % 16.03/16.65 (define @t217 () (forall @t215 @t212)) % 16.03/16.65 (define @t218 () (or @t127 @t126 @t217)) % 16.03/16.65 (define @t219 () (not @t47)) % 16.03/16.65 (define @t220 () (or @t162 @t161 @t219 @t57)) % 16.03/16.65 (define @t221 () (forall @t52 @t220)) % 16.03/16.65 (define @t222 () (or @t127 @t126 @t221)) % 16.03/16.65 (define @t223 () (not @t202)) % 16.03/16.65 (define @t224 () (or @t147 @t145 @t181 @t179 @t223 @t175)) % 16.03/16.65 (define @t225 () (not @t200)) % 16.03/16.65 (define @t226 () (@list true false)) % 16.03/16.65 (define @t227 () (not @t139)) % 16.03/16.65 (define @t228 () (= tptp.empty_set @t174)) % 16.03/16.65 (define @t229 () (= @t174 @t174)) % 16.03/16.65 (define @t230 () (or @t202 (= @t229 @t228))) % 16.03/16.65 (define @t231 () (or (not (tptp.in tptp.empty_set @t201)) (= (= tptp.empty_set (tptp.apply @t173 tptp.empty_set)) (tptp.in @t141 @t173)))) % 16.03/16.65 (define @t232 () (and @t231 @t230)) % 16.03/16.65 (define @t233 () (tptp.function @t173)) % 16.03/16.65 (define @t234 () (not @t233)) % 16.03/16.65 (define @t235 () (tptp.relation @t173)) % 16.03/16.65 (define @t236 () (not @t235)) % 16.03/16.65 (define @t237 () (or @t236 @t234 @t232)) % 16.03/16.65 (define @t238 () (or @t202 @t228)) % 16.03/16.65 (define @t239 () (and @t231 @t238)) % 16.03/16.65 (define @t240 () (or @t236 @t234 @t239)) % 16.03/16.65 (define @t241 () (or @t73 @t93 @t127 @t126)) % 16.03/16.65 (define @t242 () (and @t235 @t233)) % 16.03/16.65 (define @t243 () (or @t181 @t179 @t147 @t145 @t242)) % 16.03/16.65 (define @t244 () (not @t242)) % 16.03/16.65 (define @t245 () (@list @t242)) % 16.03/16.65 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 16.03/16.65 (assume @p2 (forall @t7 (=> @t6 @t5))) % 16.03/16.65 (assume @p3 (forall @t7 (=> @t6 @t8))) % 16.03/16.65 (assume @p4 (forall @t4 (= @t9 (tptp.unordered_pair @t2 @t1)))) % 16.03/16.65 (assume @p5 @t24) % 16.03/16.65 (assume @p6 (forall @t4 (= @t26 (tptp.unordered_pair @t9 @t25)))) % 16.03/16.65 (assume @p7 true) % 16.03/16.65 (assume @p8 (forall @t4 (=> (and @t8 @t29) @t28))) % 16.03/16.65 (assume @p9 (forall @t7 (exists (@list @t2) (tptp.element @t2 @t1)))) % 16.03/16.65 (assume @p10 (forall @t4 (=> @t31 (and (tptp.empty @t30) (tptp.relation @t30))))) % 16.03/16.65 (assume @p11 (and @t33 @t32 (tptp.relation_empty_yielding tptp.empty_set))) % 16.03/16.65 (assume @p12 @t37) % 16.03/16.65 (assume @p13 @t33) % 16.03/16.65 (assume @p14 (forall @t4 (not (tptp.empty @t26)))) % 16.03/16.65 (assume @p15 (forall @t7 (not (tptp.empty @t25)))) % 16.03/16.65 (assume @p16 (forall @t4 (not (tptp.empty @t9)))) % 16.03/16.65 (assume @p17 (and @t33 @t32)) % 16.03/16.65 (assume @p18 (forall @t7 (=> @t40 (not @t38)))) % 16.03/16.65 (assume @p19 (forall @t7 (=> @t6 (and @t38 (tptp.relation @t13))))) % 16.03/16.65 (assume @p20 (forall @t4 (=> @t31 (and (tptp.empty @t27) @t28)))) % 16.03/16.65 (assume @p21 (exists @t7 @t22)) % 16.03/16.65 (assume @p22 @t42) % 16.03/16.65 (assume @p23 (exists @t7 @t6)) % 16.03/16.65 (assume @p24 (exists @t7 @t40)) % 16.03/16.65 (assume @p25 (exists @t7 @t39)) % 16.03/16.65 (assume @p26 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 16.03/16.65 (assume @p27 (forall @t4 (=> @t3 @t43))) % 16.03/16.65 (assume @p28 @t56) % 16.03/16.65 (assume @p29 @t61) % 16.03/16.65 (assume @p30 @t69) % 16.03/16.65 (assume @p31 (forall @t4 (=> @t43 (or @t70 @t3)))) % 16.03/16.65 (assume @p32 @t72) % 16.03/16.65 (assume @p33 (forall @t4 (not (and @t3 @t70)))) % 16.03/16.65 (assume @p34 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t70)))) % 16.03/16.65 (step @p35 :rule evaluate :args ((= false true))) % 16.03/16.65 (step @p36 :rule bool-impl-elim :args (@t6 @t71)) % 16.03/16.65 (step @p37 :rule cong :premises (@p36) :args (@t72)) % 16.03/16.65 (step @p38 :rule eq_resolve :premises (@p32 @p37)) % 16.03/16.65 (step @p39 :rule eq-symm :args (@t74 tptp.empty_set)) % 16.03/16.65 (step @p40 :rule refl :args (@t76)) % 16.03/16.65 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t77)) % 16.03/16.65 (step @p42 :rule refl :args (@t78)) % 16.03/16.65 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t78 @t77))) % 16.03/16.65 (assume-push @p372 @t78) % 16.03/16.65 (step @p45 :rule instantiate :premises (@p38) :args ((@list @t74))) % 16.03/16.65 (step-pop @p373 :rule scope :premises (@p45)) % 16.03/16.65 (step @p46 :rule process_scope :premises (@p373) :args (@t77)) % 16.03/16.65 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 16.03/16.65 (step @p49 :rule implies_elim :premises (@p48)) % 16.03/16.65 (step @p50 :rule chain_m_resolution :premises (@p49 @p38) :args (@t80 @t81 (@list @t78))) % 16.03/16.65 (step @p51 :rule bool-and-de-morgan :args (@t6 @t8 true)) % 16.03/16.65 (step @p52 :rule cong :premises (@p51) :args (@t82)) % 16.03/16.65 (step @p53 :rule cong :premises (@p52) :args (@t83)) % 16.03/16.65 (step @p54 :rule exists-elim :args ((= @t42 @t83))) % 16.03/16.65 (step @p55 :rule trans :premises (@p54 @p53)) % 16.03/16.65 (step @p56 :rule eq_resolve :premises (@p22 @p55)) % 16.03/16.65 (step @p57 :rule skolemize :premises (@p56)) % 16.03/16.65 (step @p58 :rule bool-double-not-elim :args (@t75)) % 16.03/16.65 (step @p59 :rule refl :args (@t84)) % 16.03/16.65 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t84 (not @t76)))) % 16.03/16.65 (step @p61 :rule cnf_or_neg :args (@t84 0)) % 16.03/16.65 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 16.03/16.65 (step @p63 :rule reordering :premises (@p62) :args ((or @t75 @t84))) % 16.03/16.65 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t75 @t85 (@list @t84))) % 16.03/16.65 (step @p65 :rule cnf_or_pos :args (@t80)) % 16.03/16.65 (step @p66 :rule reordering :premises (@p65) :args ((or @t76 @t79 (not @t80)))) % 16.03/16.65 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p50) :args (@t79 (@list false false) (@list @t75 @t80))) % 16.03/16.65 (step @p68 :rule quant-merge-prenex :args ((= (forall @t7 @t97) @t95))) % 16.03/16.65 (step @p69 :rule alpha_equiv :args (@t98 (@list @t87 @t86) @t101)) % 16.03/16.65 (step @p70 :rule quant-unused-vars :args ((= @t102 @t98))) % 16.03/16.65 (step @p71 :rule trans :premises (@p70 @p69)) % 16.03/16.65 (step @p72 :rule alpha_equiv :args (@t103 (@list @t90 @t89) @t106)) % 16.03/16.65 (step @p73 :rule quant-unused-vars :args ((= @t107 @t103))) % 16.03/16.65 (step @p74 :rule trans :premises (@p73 @p72)) % 16.03/16.65 (step @p75 :rule nary_cong :premises (@p74 @p71) :args (@t108)) % 16.03/16.65 (step @p76 :rule quant-miniscope-and :args ((= @t109 @t108))) % 16.03/16.65 (step @p77 :rule trans :premises (@p76 @p75)) % 16.03/16.65 (step @p78 :rule refl :args (@t93)) % 16.03/16.65 (step @p79 :rule refl :args (@t73)) % 16.03/16.65 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t110)) % 16.03/16.65 (step @p81 :rule quant-miniscope-or :args ((= @t97 @t110))) % 16.03/16.65 (step @p82 :rule trans :premises (@p81 @p80)) % 16.03/16.65 (step @p83 :rule symm :premises (@p82)) % 16.03/16.65 (step @p84 :rule cong :premises (@p83) :args ((forall @t7 @t112))) % 16.03/16.65 (step @p85 :rule trans :premises (@p84 @p68)) % 16.03/16.65 (step @p86 :rule aci_norm :args ((= (or (or @t73 @t93) @t111) @t112))) % 16.03/16.65 (step @p87 :rule refl :args (@t111)) % 16.03/16.65 (step @p88 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 16.03/16.65 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t22) @t111))) % 16.03/16.65 (step @p90 :rule trans :premises (@p89 @p86)) % 16.03/16.65 (step @p91 :rule bool-impl-elim :args (@t22 @t111)) % 16.03/16.65 (step @p92 :rule trans :premises (@p91 @p90)) % 16.03/16.65 (step @p93 :rule cong :premises (@p92) :args ((forall @t7 (=> @t22 @t111)))) % 16.03/16.65 (step @p94 :rule trans :premises (@p93 @p85)) % 16.03/16.65 (step @p95 :rule alpha_equiv :args (@t115 @t116 @t101)) % 16.03/16.65 (step @p96 :rule alpha_equiv :args (@t118 @t116 @t106)) % 16.03/16.65 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t119)) % 16.03/16.65 (step @p98 :rule quant-miniscope-and :args ((= (forall @t20 (and @t117 @t114)) @t119))) % 16.03/16.65 (step @p99 :rule trans :premises (@p98 @p97)) % 16.03/16.65 (step @p100 :rule refl :args (@t113)) % 16.03/16.65 (step @p101 :rule bool-double-not-elim :args (@t14)) % 16.03/16.65 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t15) @t113))) % 16.03/16.65 (step @p103 :rule bool-impl-elim :args (@t15 @t113)) % 16.03/16.65 (step @p104 :rule trans :premises (@p103 @p102)) % 16.03/16.65 (step @p105 :rule bool-impl-elim :args (@t14 @t17)) % 16.03/16.65 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t120)) % 16.03/16.65 (step @p107 :rule cong :premises (@p106) :args ((forall @t20 @t120))) % 16.03/16.65 (step @p108 :rule trans :premises (@p107 @p99)) % 16.03/16.65 (step @p109 :rule eq-symm :args (@t10 tptp.empty_set)) % 16.03/16.65 (step @p110 :rule refl :args (@t11)) % 16.03/16.65 (step @p111 :rule cong :premises (@p110 @p109) :args (@t12)) % 16.03/16.65 (step @p112 :rule refl :args (@t15)) % 16.03/16.65 (step @p113 :rule cong :premises (@p112 @p111) :args (@t16)) % 16.03/16.65 (step @p114 :rule refl :args (@t18)) % 16.03/16.65 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t19)) % 16.03/16.65 (step @p116 :rule cong :premises (@p115) :args (@t21)) % 16.03/16.65 (step @p117 :rule trans :premises (@p116 @p108)) % 16.03/16.65 (step @p118 :rule refl :args (@t22)) % 16.03/16.65 (step @p119 :rule cong :premises (@p118 @p117) :args (@t23)) % 16.03/16.65 (step @p120 :rule cong :premises (@p119) :args (@t24)) % 16.03/16.65 (step @p121 :rule trans :premises (@p120 @p94)) % 16.03/16.65 (step @p122 :rule eq_resolve :premises (@p5 @p121)) % 16.03/16.65 (step @p123 :rule bool-eq-true :args (@t136)) % 16.03/16.65 (step @p124 :rule eq-refl :args (@t135)) % 16.03/16.65 (step @p125 :rule refl :args (@t136)) % 16.03/16.65 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t136 @t137))) % 16.03/16.65 (step @p127 :rule trans :premises (@p126 @p123)) % 16.03/16.65 (step @p128 :rule eq-symm :args (@t137 @t136)) % 16.03/16.65 (step @p129 :rule trans :premises (@p128 @p127)) % 16.03/16.65 (step @p130 :rule refl :args (@t139)) % 16.03/16.65 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t140)) % 16.03/16.65 (step @p132 :rule refl :args (@t142)) % 16.03/16.65 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t143)) % 16.03/16.65 (step @p134 :rule refl :args (@t145)) % 16.03/16.65 (step @p135 :rule refl :args (@t147)) % 16.03/16.65 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args (@t148)) % 16.03/16.65 (step @p137 :rule refl :args (@t95)) % 16.03/16.65 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t95 @t148))) % 16.03/16.65 (assume-push @p374 @t95) % 16.03/16.65 (step @p140 :rule instantiate :premises (@p122) :args ((@list @t134 tptp.empty_set tptp.empty_set @t133 @t135))) % 16.03/16.65 (step-pop @p375 :rule scope :premises (@p140)) % 16.03/16.65 (step @p141 :rule process_scope :premises (@p375) :args (@t148)) % 16.03/16.65 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 16.03/16.65 (step @p144 :rule implies_elim :premises (@p143)) % 16.03/16.65 (step @p145 :rule chain_m_resolution :premises (@p144 @p122) :args (@t151 @t81 @t152)) % 16.03/16.65 (step @p146 :rule aci_norm :args ((= @t154 @t128))) % 16.03/16.65 (step @p147 :rule cong :premises (@p146) :args (@t155)) % 16.03/16.65 (step @p148 :rule quant-merge-prenex :args ((= (forall @t4 @t157) @t155))) % 16.03/16.65 (step @p149 :rule alpha_equiv :args (@t158 (@list @t121) @t159)) % 16.03/16.65 (step @p150 :rule refl :args (@t125)) % 16.03/16.65 (step @p151 :rule refl :args (@t126)) % 16.03/16.65 (step @p152 :rule refl :args (@t127)) % 16.03/16.65 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150 @p149) :args (@t160)) % 16.03/16.65 (step @p154 :rule quant-miniscope-or :args ((= @t157 @t160))) % 16.03/16.65 (step @p155 :rule trans :premises (@p154 @p153)) % 16.03/16.65 (step @p156 :rule symm :premises (@p155)) % 16.03/16.65 (step @p157 :rule cong :premises (@p156) :args ((forall @t4 @t165))) % 16.03/16.65 (step @p158 :rule trans :premises (@p157 @p148)) % 16.03/16.65 (step @p159 :rule trans :premises (@p158 @p147)) % 16.03/16.65 (step @p160 :rule aci_norm :args ((= (or @t167 @t166) @t165))) % 16.03/16.65 (step @p161 :rule refl :args (@t166)) % 16.03/16.65 (step @p162 :rule bool-and-de-morgan :args (@t29 @t35 true)) % 16.03/16.65 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t168 @t166))) % 16.03/16.65 (step @p164 :rule trans :premises (@p163 @p160)) % 16.03/16.65 (step @p165 :rule bool-impl-elim :args (@t54 @t166)) % 16.03/16.65 (step @p166 :rule trans :premises (@p165 @p164)) % 16.03/16.65 (step @p167 :rule cong :premises (@p166) :args ((forall @t4 (=> @t54 @t166)))) % 16.03/16.65 (step @p168 :rule trans :premises (@p167 @p159)) % 16.03/16.65 (step @p169 :rule quant-miniscope-or :args ((= (forall @t52 @t169) @t166))) % 16.03/16.65 (step @p170 :rule aci_norm :args ((= @t170 @t169))) % 16.03/16.65 (step @p171 :rule cong :premises (@p170) :args ((forall @t52 @t170))) % 16.03/16.65 (step @p172 :rule trans :premises (@p171 @p169)) % 16.03/16.65 (step @p173 :rule aci_norm :args ((= (or @t171 (or @t125 @t63)) @t170))) % 16.03/16.65 (step @p174 :rule bool-impl-elim :args (@t64 @t63)) % 16.03/16.65 (step @p175 :rule bool-and-de-morgan :args (@t50 @t49 true)) % 16.03/16.65 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t172 @t65))) % 16.03/16.65 (step @p177 :rule trans :premises (@p176 @p173)) % 16.03/16.65 (step @p178 :rule bool-impl-elim :args (@t51 @t65)) % 16.03/16.65 (step @p179 :rule trans :premises (@p178 @p177)) % 16.03/16.65 (step @p180 :rule cong :premises (@p179) :args (@t66)) % 16.03/16.65 (step @p181 :rule trans :premises (@p180 @p172)) % 16.03/16.65 (step @p182 :rule refl :args (@t54)) % 16.03/16.65 (step @p183 :rule cong :premises (@p182 @p181) :args (@t67)) % 16.03/16.65 (step @p184 :rule cong :premises (@p183) :args (@t68)) % 16.03/16.65 (step @p185 :rule trans :premises (@p184 @p168)) % 16.03/16.65 (step @p186 :rule cong :premises (@p185) :args (@t69)) % 16.03/16.65 (step @p187 :rule eq_resolve :premises (@p30 @p186)) % 16.03/16.65 (step @p188 :rule skolemize :premises (@p187)) % 16.03/16.65 (step @p189 :rule bool-double-not-elim :args (@t144)) % 16.03/16.65 (step @p190 :rule refl :args (@t182)) % 16.03/16.65 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or @t182 (not @t145)))) % 16.03/16.65 (step @p192 :rule cnf_or_neg :args (@t182 4)) % 16.03/16.65 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 16.03/16.65 (step @p194 :rule reordering :premises (@p193) :args ((or @t144 @t182))) % 16.03/16.65 (step @p195 :rule chain_m_resolution :premises (@p194 @p188) :args (@t144 @t85 @t183)) % 16.03/16.65 (step @p196 :rule bool-double-not-elim :args (@t146)) % 16.03/16.65 (step @p197 :rule nary_cong :premises (@p190 @p196) :args ((or @t182 (not @t147)))) % 16.03/16.65 (step @p198 :rule cnf_or_neg :args (@t182 3)) % 16.03/16.65 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 16.03/16.65 (step @p200 :rule reordering :premises (@p199) :args ((or @t146 @t182))) % 16.03/16.65 (step @p201 :rule chain_m_resolution :premises (@p200 @p188) :args (@t146 @t85 @t183)) % 16.03/16.65 (step @p202 :rule cnf_or_pos :args (@t151)) % 16.03/16.65 (step @p203 :rule reordering :premises (@p202) :args ((or @t147 @t145 @t150 (not @t151)))) % 16.03/16.65 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p195 @p145) :args (@t150 @t184 (@list @t146 @t144 @t151))) % 16.03/16.65 (step @p205 :rule cnf_and_pos :args (@t150 1)) % 16.03/16.65 (step @p206 :rule reordering :premises (@p205) :args ((or @t149 (not @t150)))) % 16.03/16.65 (step @p207 :rule chain_m_resolution :premises (@p206 @p204) :args (@t149 @t81 (@list @t150))) % 16.03/16.65 (step @p208 :rule aci_norm :args ((= @t190 (or @t127 @t126 @t188 @t187 @t186)))) % 16.03/16.65 (step @p209 :rule cong :premises (@p208) :args (@t191)) % 16.03/16.65 (step @p210 :rule quant-merge-prenex :args ((= (forall @t4 @t193) @t191))) % 16.03/16.65 (step @p211 :rule alpha_equiv :args (@t194 (@list @t185) @t159)) % 16.03/16.65 (step @p212 :rule nary_cong :premises (@p152 @p151 @p211) :args (@t195)) % 16.03/16.65 (step @p213 :rule quant-miniscope-or :args ((= @t193 @t195))) % 16.03/16.65 (step @p214 :rule trans :premises (@p213 @p212)) % 16.03/16.65 (step @p215 :rule symm :premises (@p214)) % 16.03/16.65 (step @p216 :rule cong :premises (@p215) :args ((forall @t4 @t198))) % 16.03/16.65 (step @p217 :rule trans :premises (@p216 @p210)) % 16.03/16.65 (step @p218 :rule trans :premises (@p217 @p209)) % 16.03/16.65 (step @p219 :rule aci_norm :args ((= (or @t167 @t197) @t198))) % 16.03/16.65 (step @p220 :rule refl :args (@t197)) % 16.03/16.65 (step @p221 :rule nary_cong :premises (@p162 @p220) :args ((or @t168 @t197))) % 16.03/16.65 (step @p222 :rule trans :premises (@p221 @p219)) % 16.03/16.65 (step @p223 :rule bool-impl-elim :args (@t54 @t197)) % 16.03/16.65 (step @p224 :rule trans :premises (@p223 @p222)) % 16.03/16.65 (step @p225 :rule cong :premises (@p224) :args ((forall @t4 (=> @t54 @t197)))) % 16.03/16.65 (step @p226 :rule trans :premises (@p225 @p218)) % 16.03/16.65 (step @p227 :rule aci_norm :args ((= (or @t171 @t48) @t196))) % 16.03/16.65 (step @p228 :rule refl :args (@t48)) % 16.03/16.65 (step @p229 :rule nary_cong :premises (@p175 @p228) :args ((or @t172 @t48))) % 16.03/16.65 (step @p230 :rule trans :premises (@p229 @p227)) % 16.03/16.65 (step @p231 :rule bool-impl-elim :args (@t51 @t48)) % 16.03/16.65 (step @p232 :rule trans :premises (@p231 @p230)) % 16.03/16.65 (step @p233 :rule cong :premises (@p232) :args (@t53)) % 16.03/16.65 (step @p234 :rule cong :premises (@p182 @p233) :args (@t55)) % 16.03/16.65 (step @p235 :rule cong :premises (@p234) :args (@t56)) % 16.03/16.65 (step @p236 :rule trans :premises (@p235 @p226)) % 16.03/16.65 (step @p237 :rule eq_resolve :premises (@p28 @p236)) % 16.03/16.65 (step @p238 :rule instantiate :premises (@p237) :args (@t199)) % 16.03/16.65 (step @p239 :rule bool-double-not-elim :args (@t178)) % 16.03/16.65 (step @p240 :rule nary_cong :premises (@p190 @p239) :args ((or @t182 (not @t179)))) % 16.03/16.65 (step @p241 :rule cnf_or_neg :args (@t182 1)) % 16.03/16.65 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 16.03/16.65 (step @p243 :rule reordering :premises (@p242) :args ((or @t178 @t182))) % 16.03/16.65 (step @p244 :rule chain_m_resolution :premises (@p243 @p188) :args (@t178 @t85 @t183)) % 16.03/16.65 (step @p245 :rule bool-double-not-elim :args (@t180)) % 16.03/16.65 (step @p246 :rule nary_cong :premises (@p190 @p245) :args ((or @t182 (not @t181)))) % 16.03/16.65 (step @p247 :rule cnf_or_neg :args (@t182 0)) % 16.03/16.65 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 16.03/16.65 (step @p249 :rule reordering :premises (@p248) :args ((or @t180 @t182))) % 16.03/16.65 (step @p250 :rule chain_m_resolution :premises (@p249 @p188) :args (@t180 @t85 @t183)) % 16.03/16.65 (step @p251 :rule cnf_or_pos :args (@t204)) % 16.03/16.65 (step @p252 :rule reordering :premises (@p251) :args ((or @t181 @t179 @t147 @t145 @t203 (not @t204)))) % 16.03/16.65 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p244 @p201 @p195 @p238) :args (@t203 @t205 (@list @t180 @t178 @t146 @t144 @t204))) % 16.03/16.65 (step @p254 :rule aci_norm :args ((= @t213 (or @t127 @t126 @t211 @t210 @t209 @t208)))) % 16.03/16.65 (step @p255 :rule cong :premises (@p254) :args (@t214)) % 16.03/16.65 (step @p256 :rule quant-merge-prenex :args ((= (forall @t4 @t216) @t214))) % 16.03/16.65 (step @p257 :rule alpha_equiv :args (@t217 (@list @t206) @t159)) % 16.03/16.65 (step @p258 :rule nary_cong :premises (@p152 @p151 @p257) :args (@t218)) % 16.03/16.65 (step @p259 :rule quant-miniscope-or :args ((= @t216 @t218))) % 16.03/16.65 (step @p260 :rule trans :premises (@p259 @p258)) % 16.03/16.65 (step @p261 :rule symm :premises (@p260)) % 16.03/16.65 (step @p262 :rule cong :premises (@p261) :args ((forall @t4 @t222))) % 16.03/16.65 (step @p263 :rule trans :premises (@p262 @p256)) % 16.03/16.65 (step @p264 :rule trans :premises (@p263 @p255)) % 16.03/16.65 (step @p265 :rule aci_norm :args ((= (or @t167 @t221) @t222))) % 16.03/16.65 (step @p266 :rule refl :args (@t221)) % 16.03/16.65 (step @p267 :rule nary_cong :premises (@p162 @p266) :args ((or @t168 @t221))) % 16.03/16.65 (step @p268 :rule trans :premises (@p267 @p265)) % 16.03/16.65 (step @p269 :rule bool-impl-elim :args (@t54 @t221)) % 16.03/16.65 (step @p270 :rule trans :premises (@p269 @p268)) % 16.03/16.65 (step @p271 :rule cong :premises (@p270) :args ((forall @t4 (=> @t54 @t221)))) % 16.03/16.65 (step @p272 :rule trans :premises (@p271 @p264)) % 16.03/16.65 (step @p273 :rule aci_norm :args ((= (or @t171 (or @t219 @t57)) @t220))) % 16.03/16.65 (step @p274 :rule bool-impl-elim :args (@t47 @t57)) % 16.03/16.65 (step @p275 :rule nary_cong :premises (@p175 @p274) :args ((or @t172 @t58))) % 16.03/16.65 (step @p276 :rule trans :premises (@p275 @p273)) % 16.03/16.65 (step @p277 :rule bool-impl-elim :args (@t51 @t58)) % 16.03/16.65 (step @p278 :rule trans :premises (@p277 @p276)) % 16.03/16.65 (step @p279 :rule cong :premises (@p278) :args (@t59)) % 16.03/16.65 (step @p280 :rule cong :premises (@p182 @p279) :args (@t60)) % 16.03/16.65 (step @p281 :rule cong :premises (@p280) :args (@t61)) % 16.03/16.65 (step @p282 :rule trans :premises (@p281 @p272)) % 16.03/16.65 (step @p283 :rule eq_resolve :premises (@p29 @p282)) % 16.03/16.65 (step @p284 :rule instantiate :premises (@p283) :args (@t199)) % 16.03/16.65 (step @p285 :rule cnf_or_neg :args (@t182 5)) % 16.03/16.65 (step @p286 :rule chain_m_resolution :premises (@p285 @p188) :args ((not @t175) @t85 @t183)) % 16.03/16.65 (step @p287 :rule cnf_or_pos :args (@t224)) % 16.03/16.65 (step @p288 :rule reordering :premises (@p287) :args ((or @t181 @t179 @t147 @t145 @t175 @t223 (not @t224)))) % 16.03/16.65 (step @p289 :rule chain_m_resolution :premises (@p288 @p250 @p244 @p201 @p195 @p286 @p284) :args (@t223 (@list false false false false true false) (@list @t180 @t178 @t146 @t144 @t175 @t224))) % 16.03/16.65 (step @p290 :rule cnf_equiv_pos2 :args (@t203)) % 16.03/16.65 (step @p291 :rule reordering :premises (@p290) :args ((or @t202 @t225 (not @t203)))) % 16.03/16.65 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p253) :args (@t225 @t226 (@list @t202 @t203))) % 16.03/16.65 (step @p293 :rule bool-double-not-elim :args (@t176)) % 16.03/16.65 (step @p294 :rule nary_cong :premises (@p190 @p293) :args ((or @t182 (not @t177)))) % 16.03/16.65 (step @p295 :rule cnf_or_neg :args (@t182 2)) % 16.03/16.65 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 16.03/16.65 (step @p297 :rule reordering :premises (@p296) :args ((or @t176 @t182))) % 16.03/16.65 (step @p298 :rule chain_m_resolution :premises (@p297 @p188) :args (@t176 @t85 @t183)) % 16.03/16.65 (step @p299 :rule cnf_and_neg :args (@t200)) % 16.03/16.65 (step @p300 :rule reordering :premises (@p299) :args ((or @t177 @t200 @t227))) % 16.03/16.65 (step @p301 :rule chain_m_resolution :premises (@p300 @p298 @p292) :args (@t227 (@list false true) (@list @t176 @t200))) % 16.03/16.65 (step @p302 :rule cnf_or_pos :args (@t149)) % 16.03/16.65 (step @p303 :rule reordering :premises (@p302) :args ((or @t136 @t139 (not @t149)))) % 16.03/16.65 (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p207) :args (@t136 @t226 (@list @t139 @t149))) % 16.03/16.65 (step @p305 :rule symm :premises (@p304)) % 16.03/16.65 (step @p306 :rule trans :premises (@p305 @p67)) % 16.03/16.65 (step @p307 :rule symm :premises (@p306)) % 16.03/16.65 (step @p308 :rule bool-eq-true :args (@t228)) % 16.03/16.65 (step @p309 :rule eq-refl :args (@t174)) % 16.03/16.65 (step @p310 :rule refl :args (@t228)) % 16.03/16.65 (step @p311 :rule cong :premises (@p310 @p309) :args ((= @t228 @t229))) % 16.03/16.65 (step @p312 :rule trans :premises (@p311 @p308)) % 16.03/16.65 (step @p313 :rule eq-symm :args (@t229 @t228)) % 16.03/16.65 (step @p314 :rule trans :premises (@p313 @p312)) % 16.03/16.65 (step @p315 :rule refl :args (@t202)) % 16.03/16.65 (step @p316 :rule nary_cong :premises (@p315 @p314) :args (@t230)) % 16.03/16.65 (step @p317 :rule refl :args (@t231)) % 16.03/16.65 (step @p318 :rule nary_cong :premises (@p317 @p316) :args (@t232)) % 16.03/16.65 (step @p319 :rule refl :args (@t234)) % 16.03/16.65 (step @p320 :rule refl :args (@t236)) % 16.03/16.65 (step @p321 :rule nary_cong :premises (@p320 @p319 @p318) :args (@t237)) % 16.03/16.65 (step @p322 :rule cong :premises (@p137 @p321) :args ((=> @t95 @t237))) % 16.03/16.65 (assume-push @p376 @t95) % 16.03/16.65 (step @p324 :rule instantiate :premises (@p122) :args ((@list @t173 tptp.empty_set tptp.empty_set @t131 @t174))) % 16.03/16.65 (step-pop @p377 :rule scope :premises (@p324)) % 16.03/16.65 (step @p325 :rule process_scope :premises (@p377) :args (@t237)) % 16.03/16.65 (step @p327 :rule eq_resolve :premises (@p325 @p322)) % 16.03/16.65 (step @p328 :rule implies_elim :premises (@p327)) % 16.03/16.65 (step @p329 :rule chain_m_resolution :premises (@p328 @p122) :args (@t240 @t81 @t152)) % 16.03/16.65 (step @p330 :rule aci_norm :args ((= (or @t241 @t34) (or @t73 @t93 @t127 @t126 @t34)))) % 16.03/16.65 (step @p331 :rule refl :args (@t34)) % 16.03/16.65 (step @p332 :rule aci_norm :args ((= (or @t73 (or @t93 @t167)) @t241))) % 16.03/16.65 (step @p333 :rule nary_cong :premises (@p78 @p162) :args ((or @t93 @t168))) % 16.03/16.65 (step @p334 :rule bool-and-de-morgan :args (@t5 @t29 (and @t35))) % 16.03/16.65 (step @p335 :rule trans :premises (@p334 @p333)) % 16.03/16.65 (step @p336 :rule nary_cong :premises (@p79 @p335) :args ((or @t73 (not (and @t5 @t29 @t35))))) % 16.03/16.65 (step @p337 :rule bool-and-de-morgan :args (@t8 @t5 (and @t29 @t35))) % 16.03/16.65 (step @p338 :rule trans :premises (@p337 @p336)) % 16.03/16.65 (step @p339 :rule trans :premises (@p338 @p332)) % 16.03/16.65 (step @p340 :rule nary_cong :premises (@p339 @p331) :args ((or (not @t36) @t34))) % 16.03/16.65 (step @p341 :rule trans :premises (@p340 @p330)) % 16.03/16.65 (step @p342 :rule bool-impl-elim :args (@t36 @t34)) % 16.03/16.65 (step @p343 :rule trans :premises (@p342 @p341)) % 16.03/16.65 (step @p344 :rule cong :premises (@p343) :args (@t37)) % 16.03/16.65 (step @p345 :rule eq_resolve :premises (@p12 @p344)) % 16.03/16.65 (step @p346 :rule instantiate :premises (@p345) :args ((@list @t132 @t134))) % 16.03/16.65 (step @p347 :rule cnf_or_pos :args (@t243)) % 16.03/16.65 (step @p348 :rule reordering :premises (@p347) :args ((or @t181 @t179 @t147 @t145 @t242 (not @t243)))) % 16.03/16.65 (step @p349 :rule chain_m_resolution :premises (@p348 @p250 @p244 @p201 @p195 @p346) :args (@t242 @t205 (@list @t180 @t178 @t146 @t144 @t243))) % 16.03/16.65 (step @p350 :rule cnf_and_pos :args (@t242 0)) % 16.03/16.65 (step @p351 :rule reordering :premises (@p350) :args ((or @t235 @t244))) % 16.03/16.65 (step @p352 :rule chain_m_resolution :premises (@p351 @p349) :args (@t235 @t81 @t245)) % 16.03/16.65 (step @p353 :rule cnf_and_pos :args (@t242 1)) % 16.03/16.65 (step @p354 :rule reordering :premises (@p353) :args ((or @t233 @t244))) % 16.03/16.65 (step @p355 :rule chain_m_resolution :premises (@p354 @p349) :args (@t233 @t81 @t245)) % 16.03/16.65 (step @p356 :rule cnf_or_pos :args (@t240)) % 16.03/16.65 (step @p357 :rule reordering :premises (@p356) :args ((or @t234 @t236 @t239 (not @t240)))) % 16.03/16.66 (step @p358 :rule chain_m_resolution :premises (@p357 @p355 @p352 @p329) :args (@t239 @t184 (@list @t233 @t235 @t240))) % 16.03/16.66 (step @p359 :rule cnf_and_pos :args (@t239 1)) % 16.03/16.66 (step @p360 :rule reordering :premises (@p359) :args ((or @t238 (not @t239)))) % 16.03/16.66 (step @p361 :rule chain_m_resolution :premises (@p360 @p358) :args (@t238 @t81 (@list @t239))) % 16.03/16.66 (step @p362 :rule cnf_or_pos :args (@t238)) % 16.03/16.66 (step @p363 :rule reordering :premises (@p362) :args ((or @t228 @t202 (not @t238)))) % 16.03/16.66 (step @p364 :rule chain_m_resolution :premises (@p363 @p289 @p361) :args (@t228 @t226 (@list @t202 @t238))) % 16.03/16.66 (step @p365 :rule symm :premises (@p364)) % 16.03/16.66 (step @p366 :rule trans :premises (@p365 @p67 @p307)) % 16.03/16.66 (step @p367 :rule true_intro :premises (@p366)) % 16.03/16.66 (step @p368 :rule false_intro :premises (@p286)) % 16.03/16.66 (step @p369 :rule symm :premises (@p368)) % 16.03/16.66 (step @p370 :rule trans :premises (@p369 @p367)) % 16.03/16.66 (step @p371 false :rule eq_resolve :premises (@p370 @p35)) % 16.03/16.66 ) % 16.03/16.66 % SZS output end Proof % 16.03/16.66 % cvc5 exiting %------------------------------------------------------------------------------