%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU324+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:51:23 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU324+1 : TPTP v9.2.1. Released v3.3.0. % 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 : n029.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 16:57:02 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.38/0.62 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.62 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.62 (define @t3 () (tptp.the_carrier @t2)) % 0.38/0.62 (define @t4 () (tptp.subset_complement @t3 @t1)) % 0.38/0.62 (define @t5 () (tptp.interior @t2 @t1)) % 0.38/0.62 (define @t6 () (= @t5 (tptp.subset_complement @t3 (tptp.topstr_closure @t2 @t4)))) % 0.38/0.62 (define @t7 () (tptp.powerset @t3)) % 0.38/0.62 (define @t8 () (tptp.element @t1 @t7)) % 0.38/0.62 (define @t9 () (@list @t1)) % 0.38/0.62 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.38/0.62 (define @t11 () (tptp.top_str @t2)) % 0.38/0.62 (define @t12 () (=> @t11 @t10)) % 0.38/0.62 (define @t13 () (@list @t2)) % 0.38/0.62 (define @t14 () (forall @t13 @t12)) % 0.38/0.62 (define @t15 () (and @t11 @t8)) % 0.38/0.62 (define @t16 () (@list @t2 @t1)) % 0.38/0.62 (define @t17 () (tptp.powerset @t2)) % 0.38/0.62 (define @t18 () (tptp.subset_complement @t2 @t1)) % 0.38/0.62 (define @t19 () (tptp.element @t18 @t17)) % 0.38/0.62 (define @t20 () (tptp.element @t1 @t17)) % 0.38/0.62 (define @t21 () (forall @t16 (=> @t20 @t19))) % 0.38/0.62 (define @t22 () (tptp.topstr_closure @t2 @t1)) % 0.38/0.62 (define @t23 () (tptp.one_sorted_str @t2)) % 0.38/0.62 (define @t24 () (tptp.topological_space @t2)) % 0.38/0.62 (define @t25 () (and @t24 @t11 @t8)) % 0.38/0.62 (define @t26 () (tptp.closed_subset @t1 @t2)) % 0.38/0.62 (define @t27 () (tptp.closed_subset @t4 @t2)) % 0.38/0.62 (define @t28 () (tptp.open_subset @t1 @t2)) % 0.38/0.62 (define @t29 () (tptp.open_subset @t5 @t2)) % 0.38/0.62 (define @t30 () (forall @t16 (=> @t25 @t29))) % 0.38/0.62 (define @t31 () (tptp.subset_complement @t2 @t18)) % 0.38/0.62 (define @t32 () (=> @t20 (= @t31 @t1))) % 0.38/0.62 (define @t33 () (forall @t16 @t32)) % 0.38/0.62 (define @t34 () (and @t24 @t11)) % 0.38/0.62 (define @t35 () (= @t28 @t27)) % 0.38/0.62 (define @t36 () (forall @t9 (=> @t8 @t35))) % 0.38/0.62 (define @t37 () (=> @t11 @t36)) % 0.38/0.62 (define @t38 () (forall @t13 @t37)) % 0.38/0.62 (define @t39 () (= @t22 @t1)) % 0.38/0.62 (define @t40 () (and @t24 @t39)) % 0.38/0.62 (define @t41 () (=> @t40 @t26)) % 0.38/0.62 (define @t42 () (=> @t26 @t39)) % 0.38/0.62 (define @t43 () (and @t42 @t41)) % 0.38/0.62 (define @t44 () (=> @t8 @t43)) % 0.38/0.62 (define @t45 () (forall @t9 @t44)) % 0.38/0.62 (define @t46 () (=> @t11 @t45)) % 0.38/0.62 (define @t47 () (forall @t13 @t46)) % 0.38/0.62 (define @t48 () (@var "C" $$unsorted)) % 0.38/0.62 (define @t49 () (tptp.open_subset @t48 @t2)) % 0.38/0.62 (define @t50 () (tptp.interior @t2 @t48)) % 0.38/0.62 (define @t51 () (=> (= @t50 @t48) @t49)) % 0.38/0.62 (define @t52 () (@var "D" $$unsorted)) % 0.38/0.62 (define @t53 () (tptp.interior @t1 @t52)) % 0.38/0.62 (define @t54 () (tptp.open_subset @t52 @t1)) % 0.38/0.62 (define @t55 () (=> @t54 (= @t53 @t52))) % 0.38/0.62 (define @t56 () (and @t55 @t51)) % 0.38/0.62 (define @t57 () (tptp.powerset (tptp.the_carrier @t1))) % 0.38/0.62 (define @t58 () (tptp.element @t52 @t57)) % 0.38/0.62 (define @t59 () (=> @t58 @t56)) % 0.38/0.62 (define @t60 () (@list @t52)) % 0.38/0.62 (define @t61 () (forall @t60 @t59)) % 0.38/0.62 (define @t62 () (tptp.element @t48 @t7)) % 0.38/0.62 (define @t63 () (=> @t62 @t61)) % 0.38/0.62 (define @t64 () (@list @t48)) % 0.38/0.62 (define @t65 () (forall @t64 @t63)) % 0.38/0.62 (define @t66 () (tptp.top_str @t1)) % 0.38/0.62 (define @t67 () (=> @t66 @t65)) % 0.38/0.62 (define @t68 () (forall @t9 @t67)) % 0.38/0.62 (define @t69 () (=> @t34 @t68)) % 0.38/0.62 (define @t70 () (forall @t13 @t69)) % 0.38/0.62 (define @t71 () (not @t70)) % 0.38/0.62 (define @t72 () (@var "BOUND_VARIABLE_7554" $$unsorted)) % 0.38/0.62 (define @t73 () (= (tptp.interior @t2 @t72) (tptp.subset_complement @t3 (tptp.topstr_closure @t2 (tptp.subset_complement @t3 @t72))))) % 0.38/0.62 (define @t74 () (not (tptp.element @t72 @t7))) % 0.38/0.62 (define @t75 () (not @t11)) % 0.38/0.62 (define @t76 () (or @t74 @t73)) % 0.38/0.62 (define @t77 () (or @t75 @t76)) % 0.38/0.62 (define @t78 () (forall (@list @t2 @t72) @t77)) % 0.38/0.62 (define @t79 () (@list @t72)) % 0.38/0.62 (define @t80 () (forall @t79 @t77)) % 0.38/0.62 (define @t81 () (forall @t79 @t76)) % 0.38/0.62 (define @t82 () (@list @t1)) % 0.38/0.62 (define @t83 () (or @t75 @t81)) % 0.38/0.62 (define @t84 () (not @t8)) % 0.38/0.62 (define @t85 () (forall @t9 (or @t84 @t6))) % 0.38/0.62 (define @t86 () (@var "BOUND_VARIABLE_7792" $$unsorted)) % 0.38/0.62 (define @t87 () (@var "BOUND_VARIABLE_7794" $$unsorted)) % 0.38/0.62 (define @t88 () (@var "BOUND_VARIABLE_7790" $$unsorted)) % 0.38/0.62 (define @t89 () (and (or (not (tptp.open_subset @t87 @t88)) (= @t87 (tptp.interior @t88 @t87))) (or (not (= @t86 (tptp.interior @t2 @t86))) (tptp.open_subset @t86 @t2)))) % 0.38/0.62 (define @t90 () (not (tptp.element @t87 (tptp.powerset (tptp.the_carrier @t88))))) % 0.38/0.62 (define @t91 () (not (tptp.element @t86 @t7))) % 0.38/0.62 (define @t92 () (not (tptp.top_str @t88))) % 0.38/0.62 (define @t93 () (not @t24)) % 0.38/0.62 (define @t94 () (or @t93 @t75 @t92 @t91 @t90 @t89)) % 0.38/0.62 (define @t95 () (@list @t2 @t88 @t86 @t87)) % 0.38/0.62 (define @t96 () (forall @t95 @t94)) % 0.38/0.62 (define @t97 () (@quantifiers_skolemize @t96 3)) % 0.38/0.62 (define @t98 () (@quantifiers_skolemize @t96 1)) % 0.38/0.62 (define @t99 () (@list @t98 @t97)) % 0.38/0.62 (define @t100 () (or @t92 @t91 @t90 @t89)) % 0.38/0.62 (define @t101 () (or @t93 @t75 @t100)) % 0.38/0.62 (define @t102 () (forall @t95 @t101)) % 0.38/0.62 (define @t103 () (@list @t88 @t86 @t87)) % 0.38/0.62 (define @t104 () (forall @t103 @t101)) % 0.38/0.62 (define @t105 () (forall @t103 @t100)) % 0.38/0.62 (define @t106 () (@var "BOUND_VARIABLE_7763" $$unsorted)) % 0.38/0.62 (define @t107 () (@var "BOUND_VARIABLE_7761" $$unsorted)) % 0.38/0.62 (define @t108 () (or @t93 @t75 @t105)) % 0.38/0.62 (define @t109 () (and (or (not (tptp.open_subset @t106 @t1)) (= @t106 (tptp.interior @t1 @t106))) (or (not (= @t107 (tptp.interior @t2 @t107))) (tptp.open_subset @t107 @t2)))) % 0.38/0.62 (define @t110 () (not (tptp.element @t106 @t57))) % 0.38/0.62 (define @t111 () (not (tptp.element @t107 @t7))) % 0.38/0.62 (define @t112 () (not @t66)) % 0.38/0.62 (define @t113 () (or @t112 @t111 @t110 @t109)) % 0.38/0.62 (define @t114 () (@list @t1 @t107 @t106)) % 0.38/0.62 (define @t115 () (forall @t114 @t113)) % 0.38/0.62 (define @t116 () (or @t93 @t75 @t115)) % 0.38/0.62 (define @t117 () (or @t111 @t110 @t109)) % 0.38/0.62 (define @t118 () (or @t112 @t117)) % 0.38/0.62 (define @t119 () (forall @t114 @t118)) % 0.38/0.62 (define @t120 () (@list @t107 @t106)) % 0.38/0.62 (define @t121 () (forall @t120 @t118)) % 0.38/0.62 (define @t122 () (forall @t120 @t117)) % 0.38/0.62 (define @t123 () (@var "BOUND_VARIABLE_7740" $$unsorted)) % 0.38/0.62 (define @t124 () (or @t112 @t122)) % 0.38/0.62 (define @t125 () (= @t48 @t50)) % 0.38/0.62 (define @t126 () (or (not @t125) @t49)) % 0.38/0.62 (define @t127 () (and (or (not (tptp.open_subset @t123 @t1)) (= @t123 (tptp.interior @t1 @t123))) @t126)) % 0.38/0.62 (define @t128 () (not (tptp.element @t123 @t57))) % 0.38/0.62 (define @t129 () (not @t62)) % 0.38/0.62 (define @t130 () (or @t129 @t128 @t127)) % 0.38/0.62 (define @t131 () (@list @t48 @t123)) % 0.38/0.62 (define @t132 () (forall @t131 @t130)) % 0.38/0.62 (define @t133 () (or @t128 @t127)) % 0.38/0.62 (define @t134 () (or @t129 @t133)) % 0.38/0.62 (define @t135 () (forall @t131 @t134)) % 0.38/0.62 (define @t136 () (@list @t123)) % 0.38/0.62 (define @t137 () (forall @t136 @t134)) % 0.38/0.62 (define @t138 () (forall @t136 @t133)) % 0.38/0.62 (define @t139 () (or @t129 @t138)) % 0.38/0.62 (define @t140 () (= @t52 @t53)) % 0.38/0.62 (define @t141 () (not @t58)) % 0.38/0.62 (define @t142 () (forall @t60 (or @t141 (and (or (not @t54) @t140) @t126)))) % 0.38/0.62 (define @t143 () (and (=> @t54 @t140) (=> @t125 @t49))) % 0.38/0.62 (define @t144 () (tptp.the_carrier @t98)) % 0.38/0.62 (define @t145 () (tptp.powerset @t144)) % 0.38/0.62 (define @t146 () (tptp.element @t97 @t145)) % 0.38/0.62 (define @t147 () (@quantifiers_skolemize @t96 0)) % 0.38/0.62 (define @t148 () (@quantifiers_skolemize @t96 2)) % 0.38/0.62 (define @t149 () (tptp.open_subset @t148 @t147)) % 0.38/0.62 (define @t150 () (tptp.interior @t147 @t148)) % 0.38/0.62 (define @t151 () (= @t148 @t150)) % 0.38/0.62 (define @t152 () (not @t151)) % 0.38/0.62 (define @t153 () (or @t152 @t149)) % 0.38/0.62 (define @t154 () (tptp.interior @t98 @t97)) % 0.38/0.62 (define @t155 () (= @t97 @t154)) % 0.38/0.62 (define @t156 () (tptp.open_subset @t97 @t98)) % 0.38/0.62 (define @t157 () (not @t156)) % 0.38/0.62 (define @t158 () (or @t157 @t155)) % 0.38/0.62 (define @t159 () (and @t158 @t153)) % 0.38/0.62 (define @t160 () (not @t146)) % 0.38/0.62 (define @t161 () (tptp.element @t148 (tptp.powerset (tptp.the_carrier @t147)))) % 0.38/0.62 (define @t162 () (not @t161)) % 0.38/0.62 (define @t163 () (tptp.top_str @t98)) % 0.38/0.62 (define @t164 () (not @t163)) % 0.38/0.62 (define @t165 () (tptp.top_str @t147)) % 0.38/0.62 (define @t166 () (not @t165)) % 0.38/0.62 (define @t167 () (tptp.topological_space @t147)) % 0.38/0.62 (define @t168 () (not @t167)) % 0.38/0.62 (define @t169 () (or @t168 @t166 @t164 @t162 @t160 @t159)) % 0.38/0.62 (define @t170 () (@list true)) % 0.38/0.62 (define @t171 () (@list @t169)) % 0.38/0.62 (define @t172 () (tptp.subset_complement @t144 @t97)) % 0.38/0.62 (define @t173 () (tptp.topstr_closure @t98 @t172)) % 0.38/0.62 (define @t174 () (= @t154 (tptp.subset_complement @t144 @t173))) % 0.38/0.62 (define @t175 () (or @t164 @t160 @t174)) % 0.38/0.62 (define @t176 () (@list false false false)) % 0.38/0.62 (define @t177 () (= @t1 @t31)) % 0.38/0.62 (define @t178 () (@list @t144 @t97)) % 0.38/0.62 (define @t179 () (tptp.subset_complement @t144 @t172)) % 0.38/0.62 (define @t180 () (= @t97 @t179)) % 0.38/0.62 (define @t181 () (or @t160 @t180)) % 0.38/0.62 (define @t182 () (@list false false)) % 0.38/0.62 (define @t183 () (or @t93 @t75 @t84)) % 0.38/0.62 (define @t184 () (tptp.open_subset @t150 @t147)) % 0.38/0.62 (define @t185 () (or @t168 @t166 @t162 @t184)) % 0.38/0.62 (define @t186 () (and @t151 @t184)) % 0.38/0.62 (define @t187 () (@list @t158)) % 0.38/0.62 (define @t188 () (@var "BOUND_VARIABLE_7701" $$unsorted)) % 0.38/0.62 (define @t189 () (tptp.closed_subset @t188 @t2)) % 0.38/0.62 (define @t190 () (= @t188 (tptp.topstr_closure @t2 @t188))) % 0.38/0.62 (define @t191 () (and (or (not @t189) @t190) (or @t93 (not @t190) @t189))) % 0.38/0.62 (define @t192 () (not (tptp.element @t188 @t7))) % 0.38/0.62 (define @t193 () (or @t192 @t191)) % 0.38/0.62 (define @t194 () (or @t75 @t193)) % 0.38/0.62 (define @t195 () (forall (@list @t2 @t188) @t194)) % 0.38/0.62 (define @t196 () (@list @t188)) % 0.38/0.62 (define @t197 () (forall @t196 @t194)) % 0.38/0.62 (define @t198 () (forall @t196 @t193)) % 0.38/0.62 (define @t199 () (or @t75 @t198)) % 0.38/0.62 (define @t200 () (= @t1 @t22)) % 0.38/0.62 (define @t201 () (not @t200)) % 0.38/0.62 (define @t202 () (or @t93 @t201 @t26)) % 0.38/0.62 (define @t203 () (forall @t9 (or @t84 (and (or (not @t26) @t200) @t202)))) % 0.38/0.62 (define @t204 () (and @t24 @t200)) % 0.38/0.62 (define @t205 () (and (=> @t26 @t200) (=> @t204 @t26))) % 0.38/0.62 (define @t206 () (tptp.element @t172 @t145)) % 0.38/0.62 (define @t207 () (or @t160 @t206)) % 0.38/0.62 (define @t208 () (tptp.closed_subset @t172 @t98)) % 0.38/0.62 (define @t209 () (= @t172 @t173)) % 0.38/0.62 (define @t210 () (not @t209)) % 0.38/0.62 (define @t211 () (not @t208)) % 0.38/0.62 (define @t212 () (or @t211 @t209)) % 0.38/0.62 (define @t213 () (and @t212 (or (not (tptp.topological_space @t98)) @t210 @t208))) % 0.38/0.62 (define @t214 () (not @t206)) % 0.38/0.62 (define @t215 () (or @t164 @t214 @t213)) % 0.38/0.62 (define @t216 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 0.38/0.62 (define @t217 () (= (tptp.open_subset @t216 @t2) (tptp.closed_subset (tptp.subset_complement @t3 @t216) @t2))) % 0.38/0.62 (define @t218 () (not (tptp.element @t216 @t7))) % 0.38/0.62 (define @t219 () (or @t218 @t217)) % 0.38/0.62 (define @t220 () (or @t75 @t219)) % 0.38/0.62 (define @t221 () (forall (@list @t2 @t216) @t220)) % 0.38/0.62 (define @t222 () (@list @t216)) % 0.38/0.62 (define @t223 () (forall @t222 @t220)) % 0.38/0.62 (define @t224 () (forall @t222 @t219)) % 0.38/0.62 (define @t225 () (or @t75 @t224)) % 0.38/0.62 (define @t226 () (forall @t9 (or @t84 @t35))) % 0.38/0.62 (define @t227 () (= @t156 @t208)) % 0.38/0.62 (define @t228 () (or @t164 @t160 @t227)) % 0.38/0.62 (define @t229 () (and @t174 @t180 @t209)) % 0.38/0.62 (assume @p1 @t14) % 0.38/0.62 (assume @p2 (forall @t16 (=> @t15 (tptp.element @t5 @t7)))) % 0.38/0.62 (assume @p3 true) % 0.38/0.62 (assume @p4 @t21) % 0.38/0.62 (assume @p5 (forall @t16 (=> @t15 (tptp.element @t22 @t7)))) % 0.38/0.62 (assume @p6 (forall @t13 (=> @t11 @t23))) % 0.38/0.62 (assume @p7 (exists @t13 @t11)) % 0.38/0.62 (assume @p8 (exists @t13 @t23)) % 0.38/0.62 (assume @p9 (forall @t13 (exists @t9 (tptp.element @t1 @t2)))) % 0.38/0.62 (assume @p10 (forall @t16 (=> @t25 (tptp.closed_subset @t22 @t2)))) % 0.38/0.62 (assume @p11 (forall @t16 (=> (and @t24 @t11 @t26 @t8) (tptp.open_subset @t4 @t2)))) % 0.38/0.62 (assume @p12 (forall @t16 (=> (and @t24 @t11 @t28 @t8) @t27))) % 0.38/0.62 (assume @p13 @t30) % 0.38/0.62 (assume @p14 @t33) % 0.38/0.62 (assume @p15 (forall @t13 (=> @t34 (exists @t9 (and @t8 @t28))))) % 0.38/0.62 (assume @p16 (forall @t13 (=> @t34 (exists @t9 (and @t8 @t28 @t26))))) % 0.38/0.62 (assume @p17 (forall @t13 (=> @t34 (exists @t9 (and @t8 @t26))))) % 0.38/0.62 (assume @p18 (forall @t16 (tptp.subset @t2 @t2))) % 0.38/0.62 (assume @p19 @t38) % 0.38/0.62 (assume @p20 (forall @t16 (= (tptp.element @t2 (tptp.powerset @t1)) (tptp.subset @t2 @t1)))) % 0.38/0.62 (assume @p21 @t47) % 0.38/0.62 (assume @p22 @t71) % 0.38/0.62 (step @p23 :rule aci_norm :args ((= @t77 (or @t75 @t74 @t73)))) % 0.38/0.62 (step @p24 :rule cong :premises (@p23) :args (@t78)) % 0.38/0.62 (step @p25 :rule quant-merge-prenex :args ((= (forall @t13 @t80) @t78))) % 0.38/0.62 (step @p26 :rule alpha_equiv :args (@t81 (@list @t72) @t82)) % 0.38/0.62 (step @p27 :rule refl :args (@t75)) % 0.38/0.62 (step @p28 :rule 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% 0.38/0.62 (step @p227 :rule chain_m_resolution :premises (@p226 @p225 @p223) :args ((not @t158) (@list true false) (@list @t159 @t153))) % 0.38/0.62 (step @p228 :rule cnf_or_neg :args (@t158 1)) % 0.38/0.62 (step @p229 :rule chain_m_resolution :premises (@p228 @p227) :args ((not @t155) @t170 @t187)) % 0.38/0.62 (step @p230 :rule aci_norm :args ((= @t194 (or @t75 @t192 @t191)))) % 0.38/0.62 (step @p231 :rule cong :premises (@p230) :args (@t195)) % 0.38/0.62 (step @p232 :rule quant-merge-prenex :args ((= (forall @t13 @t197) @t195))) % 0.38/0.62 (step @p233 :rule alpha_equiv :args (@t198 (@list @t188) @t82)) % 0.38/0.62 (step @p234 :rule nary_cong :premises (@p27 @p233) :args (@t199)) % 0.38/0.62 (step @p235 :rule quant-miniscope-or :args ((= @t197 @t199))) % 0.38/0.62 (step @p236 :rule trans :premises (@p235 @p234)) % 0.38/0.62 (step @p237 :rule symm :premises (@p236)) % 0.38/0.62 (step @p238 :rule cong :premises (@p237) :args ((forall @t13 (or @t75 @t203)))) % 0.38/0.62 (step @p239 :rule trans :premises (@p238 @p232)) % 0.38/0.62 (step @p240 :rule trans :premises (@p239 @p231)) % 0.38/0.62 (step @p241 :rule bool-impl-elim :args (@t11 @t203)) % 0.38/0.62 (step @p242 :rule cong :premises (@p241) :args ((forall @t13 (=> @t11 @t203)))) % 0.38/0.62 (step @p243 :rule trans :premises (@p242 @p240)) % 0.38/0.62 (step @p244 :rule aci_norm :args ((= (or (or @t93 @t201) @t26) @t202))) % 0.38/0.62 (step @p245 :rule refl :args (@t26)) % 0.38/0.62 (step @p246 :rule bool-and-de-morgan :args (@t24 @t200 true)) % 0.38/0.62 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or (not @t204) @t26))) % 0.38/0.62 (step @p248 :rule trans :premises (@p247 @p244)) % 0.38/0.62 (step @p249 :rule bool-impl-elim :args (@t204 @t26)) % 0.38/0.62 (step @p250 :rule trans :premises (@p249 @p248)) % 0.38/0.62 (step @p251 :rule bool-impl-elim :args (@t26 @t200)) % 0.38/0.62 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t205)) % 0.38/0.62 (step @p253 :rule refl :args (@t84)) % 0.38/0.62 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t84 @t205))) % 0.38/0.62 (step @p255 :rule bool-impl-elim :args (@t8 @t205)) % 0.38/0.62 (step @p256 :rule trans :premises (@p255 @p254)) % 0.38/0.62 (step @p257 :rule cong :premises (@p256) :args ((forall @t9 (=> @t8 @t205)))) % 0.38/0.62 (step @p258 :rule refl :args (@t26)) % 0.38/0.62 (step @p259 :rule eq-symm :args (@t22 @t1)) % 0.38/0.62 (step @p260 :rule refl :args (@t24)) % 0.38/0.62 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t40)) % 0.38/0.62 (step @p262 :rule cong :premises (@p261 @p258) :args (@t41)) % 0.38/0.62 (step @p263 :rule cong :premises (@p258 @p259) :args (@t42)) % 0.38/0.62 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t43)) % 0.38/0.62 (step @p265 :rule refl :args (@t8)) % 0.38/0.62 (step @p266 :rule cong :premises (@p265 @p264) :args (@t44)) % 0.38/0.62 (step @p267 :rule cong :premises (@p266) :args (@t45)) % 0.38/0.62 (step @p268 :rule trans :premises (@p267 @p257)) % 0.38/0.62 (step @p269 :rule cong :premises (@p40 @p268) :args (@t46)) % 0.38/0.62 (step @p270 :rule cong :premises (@p269) :args (@t47)) % 0.38/0.62 (step @p271 :rule trans :premises (@p270 @p243)) % 0.38/0.62 (step @p272 :rule eq_resolve :premises (@p21 @p271)) % 0.38/0.62 (step @p273 :rule instantiate :premises (@p272) :args ((@list @t98 @t172))) % 0.38/0.62 (step @p274 :rule bool-impl-elim :args (@t20 @t19)) % 0.38/0.62 (step @p275 :rule cong :premises (@p274) :args (@t21)) % 0.38/0.62 (step @p276 :rule eq_resolve :premises (@p4 @p275)) % 0.38/0.62 (step @p277 :rule instantiate :premises (@p276) :args (@t178)) % 0.38/0.62 (step @p278 :rule cnf_or_pos :args (@t207)) % 0.38/0.62 (step @p279 :rule reordering :premises (@p278) :args ((or @t160 @t206 (not @t207)))) % 0.38/0.62 (step @p280 :rule chain_m_resolution :premises (@p279 @p137 @p277) :args (@t206 @t182 (@list @t146 @t207))) % 0.38/0.62 (step @p281 :rule cnf_or_pos :args (@t215)) % 0.38/0.62 (step @p282 :rule reordering :premises (@p281) :args ((or @t164 @t214 @t213 (not @t215)))) % 0.38/0.62 (step @p283 :rule chain_m_resolution :premises (@p282 @p143 @p280 @p273) :args (@t213 @t176 (@list @t163 @t206 @t215))) % 0.38/0.62 (step @p284 :rule cnf_and_pos :args (@t213 0)) % 0.38/0.62 (step @p285 :rule reordering :premises (@p284) :args ((or @t212 (not @t213)))) % 0.38/0.62 (step @p286 :rule chain_m_resolution :premises (@p285 @p283) :args (@t212 (@list false) (@list @t213))) % 0.38/0.62 (step @p287 :rule aci_norm :args ((= @t220 (or @t75 @t218 @t217)))) % 0.38/0.62 (step @p288 :rule cong :premises (@p287) :args (@t221)) % 0.38/0.62 (step @p289 :rule quant-merge-prenex :args ((= (forall @t13 @t223) @t221))) % 0.38/0.62 (step @p290 :rule alpha_equiv :args (@t224 (@list @t216) @t82)) % 0.38/0.62 (step @p291 :rule nary_cong :premises (@p27 @p290) :args (@t225)) % 0.38/0.62 (step @p292 :rule quant-miniscope-or :args ((= @t223 @t225))) % 0.38/0.62 (step @p293 :rule trans :premises (@p292 @p291)) % 0.38/0.62 (step @p294 :rule symm :premises (@p293)) % 0.38/0.62 (step @p295 :rule cong :premises (@p294) :args ((forall @t13 (or @t75 @t226)))) % 0.38/0.62 (step @p296 :rule trans :premises (@p295 @p289)) % 0.38/0.62 (step @p297 :rule trans :premises (@p296 @p288)) % 0.38/0.62 (step @p298 :rule bool-impl-elim :args (@t11 @t226)) % 0.38/0.62 (step @p299 :rule cong :premises (@p298) :args ((forall @t13 (=> @t11 @t226)))) % 0.38/0.62 (step @p300 :rule trans :premises (@p299 @p297)) % 0.38/0.62 (step @p301 :rule bool-impl-elim :args (@t8 @t35)) % 0.38/0.62 (step @p302 :rule cong :premises (@p301) :args (@t36)) % 0.38/0.62 (step @p303 :rule cong :premises (@p40 @p302) :args (@t37)) % 0.38/0.62 (step @p304 :rule cong :premises (@p303) :args (@t38)) % 0.38/0.62 (step @p305 :rule trans :premises (@p304 @p300)) % 0.38/0.62 (step @p306 :rule eq_resolve :premises (@p19 @p305)) % 0.38/0.62 (step @p307 :rule instantiate :premises (@p306) :args (@t99)) % 0.38/0.62 (step @p308 :rule cnf_or_pos :args (@t228)) % 0.38/0.62 (step @p309 :rule reordering :premises (@p308) :args ((or @t164 @t160 @t227 (not @t228)))) % 0.38/0.62 (step @p310 :rule chain_m_resolution :premises (@p309 @p143 @p137 @p307) :args (@t227 @t176 (@list @t163 @t146 @t228))) % 0.38/0.62 (step @p311 :rule bool-double-not-elim :args (@t156)) % 0.38/0.62 (step @p312 :rule refl :args (@t158)) % 0.38/0.62 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t158 (not @t157)))) % 0.38/0.62 (step @p314 :rule cnf_or_neg :args (@t158 0)) % 0.38/0.62 (step @p315 :rule eq_resolve :premises (@p314 @p313)) % 0.38/0.62 (step @p316 :rule reordering :premises (@p315) :args ((or @t156 @t158))) % 0.38/0.62 (step @p317 :rule chain_m_resolution :premises (@p316 @p227) :args (@t156 @t170 @t187)) % 0.38/0.62 (step @p318 :rule cnf_equiv_pos1 :args (@t227)) % 0.38/0.62 (step @p319 :rule reordering :premises (@p318) :args ((or @t157 @t208 (not @t227)))) % 0.38/0.62 (step @p320 :rule chain_m_resolution :premises (@p319 @p317 @p310) :args (@t208 @t182 (@list @t156 @t227))) % 0.38/0.62 (step @p321 :rule cnf_or_pos :args (@t212)) % 0.38/0.62 (step @p322 :rule reordering :premises (@p321) :args ((or @t211 @t209 (not @t212)))) % 0.38/0.62 (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p286) :args (@t209 @t182 (@list @t208 @t212))) % 0.38/0.62 (assume-push @p357 @t174) % 0.38/0.62 (assume-push @p358 @t180) % 0.38/0.62 (assume-push @p359 @t209) % 0.38/0.62 (assume-push @p360 @t174) % 0.38/0.62 (assume-push @p361 @t209) % 0.38/0.62 (assume-push @p362 @t180) % 0.38/0.62 (step @p330 :rule symm :premises (@p146)) % 0.38/0.62 (step @p331 :rule refl :args (@t144)) % 0.38/0.62 (step @p332 :rule cong :premises (@p331 @p359) :args (@t179)) % 0.38/0.62 (step @p333 :rule trans :premises (@p158 @p332 @p330)) % 0.38/0.62 (step-pop @p363 :rule scope :premises (@p333)) % 0.38/0.62 (step-pop @p364 :rule scope :premises (@p363)) % 0.38/0.62 (step-pop @p365 :rule scope :premises (@p364)) % 0.38/0.62 (step @p334 :rule process_scope :premises (@p365) :args (@t155)) % 0.38/0.62 (step @p338 :rule and_intro :premises (@p146 @p359 @p158)) % 0.38/0.62 (step @p339 :rule modus_ponens :premises (@p338 @p334)) % 0.38/0.62 (step-pop @p366 :rule scope :premises (@p339)) % 0.38/0.62 (step-pop @p367 :rule scope :premises (@p366)) % 0.38/0.62 (step-pop @p368 :rule scope :premises (@p367)) % 0.38/0.62 (step @p340 :rule process_scope :premises (@p368) :args (@t155)) % 0.38/0.62 (step @p344 :rule implies_elim :premises (@p340)) % 0.38/0.63 (step @p345 :rule cnf_and_neg :args (@t229)) % 0.38/0.63 (step @p346 :rule resolution :premises (@p345 @p344) :args (true @t229)) % 0.38/0.63 (step @p347 :rule reordering :premises (@p346) :args ((or @t155 (not @t174) (not @t180) @t210))) % 0.38/0.63 (step @p348 false :rule chain_m_resolution :premises (@p347 @p323 @p229 @p158 @p146) :args (false (@list false true false false) (@list @t209 @t155 @t180 @t174))) % 0.38/0.63 ) % 0.38/0.63 % SZS output end Proof % 0.38/0.63 % cvc5 exiting %------------------------------------------------------------------------------