%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU364+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 : n017.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 08:51:31 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU364+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:00:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (define @t1 () (@var "G" $$unsorted)) % 0.37/0.61 (define @t2 () (@var "F" $$unsorted)) % 0.37/0.61 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.61 (define @t4 () (tptp.relstr_set_smaller @t3 @t2 @t1)) % 0.37/0.61 (define @t5 () (@var "B" $$unsorted)) % 0.37/0.61 (define @t6 () (tptp.in @t1 @t5)) % 0.37/0.61 (define @t7 () (tptp.the_carrier @t3)) % 0.37/0.61 (define @t8 () (tptp.element @t1 @t7)) % 0.37/0.61 (define @t9 () (and @t8 @t6 @t4)) % 0.37/0.61 (define @t10 () (@list @t1)) % 0.37/0.61 (define @t11 () (exists @t10 @t9)) % 0.37/0.61 (define @t12 () (@var "E" $$unsorted)) % 0.37/0.61 (define @t13 () (= @t2 @t12)) % 0.37/0.61 (define @t14 () (and @t13 @t11)) % 0.37/0.61 (define @t15 () (@list @t2)) % 0.37/0.61 (define @t16 () (exists @t15 @t14)) % 0.37/0.61 (define @t17 () (@var "C" $$unsorted)) % 0.37/0.61 (define @t18 () (tptp.powerset @t17)) % 0.37/0.61 (define @t19 () (tptp.in @t12 @t18)) % 0.37/0.61 (define @t20 () (and @t19 @t16)) % 0.37/0.61 (define @t21 () (@var "D" $$unsorted)) % 0.37/0.61 (define @t22 () (tptp.in @t12 @t21)) % 0.37/0.61 (define @t23 () (= @t22 @t20)) % 0.37/0.61 (define @t24 () (@list @t12)) % 0.37/0.61 (define @t25 () (forall @t24 @t23)) % 0.37/0.61 (define @t26 () (@list @t21)) % 0.37/0.61 (define @t27 () (exists @t26 @t25)) % 0.37/0.61 (define @t28 () (tptp.element @t17 (tptp.powerset @t5))) % 0.37/0.61 (define @t29 () (tptp.finite @t17)) % 0.37/0.61 (define @t30 () (tptp.element @t5 (tptp.powerset @t7))) % 0.37/0.61 (define @t31 () (tptp.rel_str @t3)) % 0.37/0.61 (define @t32 () (tptp.transitive_relstr @t3)) % 0.37/0.61 (define @t33 () (tptp.empty_carrier @t3)) % 0.37/0.61 (define @t34 () (not @t33)) % 0.37/0.61 (define @t35 () (and @t34 @t32 @t31 @t30 @t29 @t28)) % 0.37/0.61 (define @t36 () (=> @t35 @t27)) % 0.37/0.61 (define @t37 () (@list @t3 @t5 @t17)) % 0.37/0.61 (define @t38 () (forall @t37 @t36)) % 0.37/0.61 (define @t39 () (not @t38)) % 0.37/0.61 (define @t40 () (tptp.one_sorted_str @t3)) % 0.37/0.61 (define @t41 () (@list @t3)) % 0.37/0.61 (define @t42 () (and @t34 @t40)) % 0.37/0.61 (define @t43 () (tptp.empty @t5)) % 0.37/0.61 (define @t44 () (not @t43)) % 0.37/0.61 (define @t45 () (@list @t5)) % 0.37/0.61 (define @t46 () (tptp.finite @t3)) % 0.37/0.61 (define @t47 () (tptp.empty @t3)) % 0.37/0.61 (define @t48 () (not @t47)) % 0.37/0.61 (define @t49 () (tptp.finite @t5)) % 0.37/0.61 (define @t50 () (tptp.powerset @t3)) % 0.37/0.61 (define @t51 () (tptp.element @t5 @t50)) % 0.37/0.61 (define @t52 () (@var "L" $$unsorted)) % 0.37/0.61 (define @t53 () (@var "K" $$unsorted)) % 0.37/0.61 (define @t54 () (tptp.relstr_set_smaller @t3 @t53 @t52)) % 0.37/0.61 (define @t55 () (tptp.in @t52 @t5)) % 0.37/0.61 (define @t56 () (tptp.element @t52 @t7)) % 0.37/0.61 (define @t57 () (and @t56 @t55 @t54)) % 0.37/0.61 (define @t58 () (@list @t52)) % 0.37/0.61 (define @t59 () (exists @t58 @t57)) % 0.37/0.61 (define @t60 () (= @t53 @t12)) % 0.37/0.61 (define @t61 () (and @t60 @t59)) % 0.37/0.61 (define @t62 () (@list @t53)) % 0.37/0.61 (define @t63 () (exists @t62 @t61)) % 0.37/0.61 (define @t64 () (tptp.in @t2 @t18)) % 0.37/0.61 (define @t65 () (and @t64 @t13 @t63)) % 0.37/0.61 (define @t66 () (exists @t15 @t65)) % 0.37/0.61 (define @t67 () (= @t22 @t66)) % 0.37/0.61 (define @t68 () (forall @t24 @t67)) % 0.37/0.61 (define @t69 () (exists @t26 @t68)) % 0.37/0.61 (define @t70 () (= @t12 @t2)) % 0.37/0.61 (define @t71 () (@var "J" $$unsorted)) % 0.37/0.61 (define @t72 () (@var "I" $$unsorted)) % 0.37/0.61 (define @t73 () (tptp.relstr_set_smaller @t3 @t72 @t71)) % 0.37/0.61 (define @t74 () (tptp.in @t71 @t5)) % 0.37/0.61 (define @t75 () (tptp.element @t71 @t7)) % 0.37/0.61 (define @t76 () (and @t75 @t74 @t73)) % 0.37/0.61 (define @t77 () (@list @t71)) % 0.37/0.61 (define @t78 () (exists @t77 @t76)) % 0.37/0.61 (define @t79 () (= @t72 @t2)) % 0.37/0.61 (define @t80 () (and @t79 @t78)) % 0.37/0.61 (define @t81 () (@list @t72)) % 0.37/0.61 (define @t82 () (exists @t81 @t80)) % 0.37/0.61 (define @t83 () (= @t21 @t2)) % 0.37/0.61 (define @t84 () (@var "H" $$unsorted)) % 0.37/0.61 (define @t85 () (tptp.relstr_set_smaller @t3 @t1 @t84)) % 0.37/0.61 (define @t86 () (tptp.in @t84 @t5)) % 0.37/0.61 (define @t87 () (tptp.element @t84 @t7)) % 0.37/0.61 (define @t88 () (and @t87 @t86 @t85)) % 0.37/0.61 (define @t89 () (@list @t84)) % 0.37/0.61 (define @t90 () (exists @t89 @t88)) % 0.37/0.61 (define @t91 () (= @t1 @t12)) % 0.37/0.61 (define @t92 () (and @t91 @t90)) % 0.37/0.61 (define @t93 () (exists @t10 @t92)) % 0.37/0.61 (define @t94 () (= @t21 @t12)) % 0.37/0.61 (define @t95 () (and @t94 @t93 @t83 @t82)) % 0.37/0.61 (define @t96 () (=> @t95 @t70)) % 0.37/0.61 (define @t97 () (@list @t21 @t12 @t2)) % 0.37/0.61 (define @t98 () (forall @t97 @t96)) % 0.37/0.61 (define @t99 () (=> @t98 @t69)) % 0.37/0.61 (define @t100 () (=> @t35 @t99)) % 0.37/0.61 (define @t101 () (forall @t37 @t100)) % 0.37/0.61 (define @t102 () (@var "BOUND_VARIABLE_7584" $$unsorted)) % 0.37/0.61 (define @t103 () (not (tptp.relstr_set_smaller @t3 @t12 @t102))) % 0.37/0.61 (define @t104 () (not (tptp.in @t102 @t5))) % 0.37/0.61 (define @t105 () (not (tptp.element @t102 @t7))) % 0.37/0.61 (define @t106 () (or @t105 @t104 @t103)) % 0.37/0.61 (define @t107 () (@list @t102)) % 0.37/0.61 (define @t108 () (forall @t24 (= @t22 (and @t19 (not (forall @t107 @t106)))))) % 0.37/0.61 (define @t109 () (not (forall @t26 (not @t108)))) % 0.37/0.61 (define @t110 () (not @t28)) % 0.37/0.61 (define @t111 () (not @t29)) % 0.37/0.61 (define @t112 () (not @t30)) % 0.37/0.61 (define @t113 () (not @t31)) % 0.37/0.61 (define @t114 () (not @t32)) % 0.37/0.61 (define @t115 () (or @t33 @t114 @t113 @t112 @t111 @t110 @t109)) % 0.37/0.61 (define @t116 () (or @t33 @t114 @t113 @t112 @t111 @t110)) % 0.37/0.61 (define @t117 () (not @t34)) % 0.37/0.61 (define @t118 () (or @t117 @t114 @t113 @t112 @t111 @t110)) % 0.37/0.61 (define @t119 () (not @t35)) % 0.37/0.61 (define @t120 () (not (= @t12 @t12))) % 0.37/0.61 (define @t121 () (or @t120 @t105 @t104 @t103)) % 0.37/0.61 (define @t122 () (not (tptp.relstr_set_smaller @t3 @t2 @t102))) % 0.37/0.61 (define @t123 () (not @t70)) % 0.37/0.61 (define @t124 () (not @t13)) % 0.37/0.61 (define @t125 () (or @t123 @t123 @t105 @t104 @t122)) % 0.37/0.61 (define @t126 () (or @t123 @t105 @t104 @t122)) % 0.37/0.61 (define @t127 () (forall @t15 @t126)) % 0.37/0.61 (define @t128 () (forall @t107 @t127)) % 0.37/0.61 (define @t129 () (forall (@list @t102 @t2) @t126)) % 0.37/0.61 (define @t130 () (@list @t2 @t102)) % 0.37/0.61 (define @t131 () (or @t105 @t104 @t122)) % 0.37/0.61 (define @t132 () (or @t123 @t131)) % 0.37/0.61 (define @t133 () (forall @t130 @t132)) % 0.37/0.61 (define @t134 () (forall @t107 @t132)) % 0.37/0.61 (define @t135 () (forall @t107 @t131)) % 0.37/0.61 (define @t136 () (or @t123 @t135)) % 0.37/0.61 (define @t137 () (not @t4)) % 0.37/0.61 (define @t138 () (not @t6)) % 0.37/0.61 (define @t139 () (not @t8)) % 0.37/0.61 (define @t140 () (or @t139 @t138 @t137)) % 0.37/0.61 (define @t141 () (forall @t10 @t140)) % 0.37/0.61 (define @t142 () (not @t141)) % 0.37/0.61 (define @t143 () (and @t70 @t142)) % 0.37/0.61 (define @t144 () (forall @t15 (not @t143))) % 0.37/0.61 (define @t145 () (not @t144)) % 0.37/0.61 (define @t146 () (forall @t10 (not @t9))) % 0.37/0.61 (define @t147 () (not @t146)) % 0.37/0.61 (define @t148 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 0.37/0.61 (define @t149 () (not (tptp.relstr_set_smaller @t3 @t12 @t148))) % 0.37/0.61 (define @t150 () (not (tptp.in @t148 @t5))) % 0.37/0.61 (define @t151 () (not (tptp.element @t148 @t7))) % 0.37/0.61 (define @t152 () (or @t151 @t150 @t149)) % 0.37/0.61 (define @t153 () (@list @t148)) % 0.37/0.61 (define @t154 () (forall @t153 @t152)) % 0.37/0.61 (define @t155 () (not @t154)) % 0.37/0.61 (define @t156 () (and @t19 @t155)) % 0.37/0.61 (define @t157 () (and @t155 @t19)) % 0.37/0.61 (define @t158 () (= @t22 @t157)) % 0.37/0.61 (define @t159 () (forall @t24 @t158)) % 0.37/0.61 (define @t160 () (not @t159)) % 0.37/0.61 (define @t161 () (forall @t26 @t160)) % 0.37/0.61 (define @t162 () (not @t161)) % 0.37/0.61 (define @t163 () (or @t33 @t114 @t113 @t112 @t111 @t110 @t162)) % 0.37/0.61 (define @t164 () (forall @t37 @t163)) % 0.37/0.61 (define @t165 () (forall @t37 (or @t33 @t114 @t113 @t112 @t111 @t110 (not (forall @t26 (not (forall @t24 (= @t22 @t156)))))))) % 0.37/0.61 (define @t166 () (@var "BOUND_VARIABLE_8069" $$unsorted)) % 0.37/0.61 (define @t167 () (@var "BOUND_VARIABLE_8068" $$unsorted)) % 0.37/0.61 (define @t168 () (@var "BOUND_VARIABLE_8064" $$unsorted)) % 0.37/0.61 (define @t169 () (@var "BOUND_VARIABLE_8065" $$unsorted)) % 0.37/0.61 (define @t170 () (tptp.the_carrier @t168)) % 0.37/0.61 (define @t171 () (@var "BOUND_VARIABLE_8066" $$unsorted)) % 0.37/0.61 (define @t172 () (@var "BOUND_VARIABLE_8067" $$unsorted)) % 0.37/0.61 (define @t173 () (@list @t168 @t169 @t171 @t172 @t167 @t166)) % 0.37/0.61 (define @t174 () (forall @t37 @t115)) % 0.37/0.61 (define @t175 () (@list true)) % 0.37/0.61 (define @t176 () (not @t19)) % 0.37/0.61 (define @t177 () (= @t22 (not (or @t154 @t176)))) % 0.37/0.61 (define @t178 () (or @t176 @t120)) % 0.37/0.61 (define @t179 () (not @t64)) % 0.37/0.61 (define @t180 () (or @t123 @t179 @t123)) % 0.37/0.61 (define @t181 () (or @t179 @t123)) % 0.37/0.61 (define @t182 () (forall @t15 @t181)) % 0.37/0.61 (define @t183 () (or @t154 @t182)) % 0.37/0.61 (define @t184 () (or @t154 @t181)) % 0.37/0.61 (define @t185 () (or @t179 @t123 @t154)) % 0.37/0.61 (define @t186 () (not @t155)) % 0.37/0.61 (define @t187 () (or @t179 @t123 @t186)) % 0.37/0.61 (define @t188 () (and @t64 @t70 @t155)) % 0.37/0.61 (define @t189 () (forall @t15 (not @t188))) % 0.37/0.61 (define @t190 () (not @t189)) % 0.37/0.61 (define @t191 () (or @t120 @t151 @t150 @t149)) % 0.37/0.61 (define @t192 () (not (tptp.relstr_set_smaller @t3 @t53 @t148))) % 0.37/0.61 (define @t193 () (= @t12 @t53)) % 0.37/0.61 (define @t194 () (not @t193)) % 0.37/0.61 (define @t195 () (or @t194 @t194 @t151 @t150 @t192)) % 0.37/0.61 (define @t196 () (or @t194 @t151 @t150 @t192)) % 0.37/0.61 (define @t197 () (forall @t62 @t196)) % 0.37/0.61 (define @t198 () (forall @t153 @t197)) % 0.37/0.61 (define @t199 () (forall (@list @t148 @t53) @t196)) % 0.37/0.61 (define @t200 () (@list @t53 @t148)) % 0.37/0.61 (define @t201 () (or @t151 @t150 @t192)) % 0.37/0.61 (define @t202 () (or @t194 @t201)) % 0.37/0.61 (define @t203 () (forall @t200 @t202)) % 0.37/0.61 (define @t204 () (forall @t153 @t202)) % 0.37/0.61 (define @t205 () (forall @t153 @t201)) % 0.37/0.61 (define @t206 () (or @t194 @t205)) % 0.37/0.61 (define @t207 () (not @t54)) % 0.37/0.61 (define @t208 () (not @t55)) % 0.37/0.61 (define @t209 () (not @t56)) % 0.37/0.61 (define @t210 () (or @t209 @t208 @t207)) % 0.37/0.61 (define @t211 () (forall @t58 @t210)) % 0.37/0.61 (define @t212 () (not @t211)) % 0.37/0.61 (define @t213 () (and @t193 @t212)) % 0.37/0.61 (define @t214 () (forall @t62 (not @t213))) % 0.37/0.61 (define @t215 () (not @t214)) % 0.37/0.61 (define @t216 () (forall @t58 (not @t57))) % 0.37/0.61 (define @t217 () (not @t216)) % 0.37/0.61 (define @t218 () (@var "BOUND_VARIABLE_7832" $$unsorted)) % 0.37/0.61 (define @t219 () (@var "BOUND_VARIABLE_7823" $$unsorted)) % 0.37/0.61 (define @t220 () (@list @t12 @t2 @t219 @t218)) % 0.37/0.61 (define @t221 () (not (tptp.relstr_set_smaller @t3 @t2 @t218))) % 0.37/0.61 (define @t222 () (not (tptp.in @t218 @t5))) % 0.37/0.61 (define @t223 () (not (tptp.element @t218 @t7))) % 0.37/0.61 (define @t224 () (not (tptp.relstr_set_smaller @t3 @t12 @t219))) % 0.37/0.61 (define @t225 () (not (tptp.in @t219 @t5))) % 0.37/0.61 (define @t226 () (not (tptp.element @t219 @t7))) % 0.37/0.61 (define @t227 () (or @t123 @t70 @t226 @t225 @t224 @t223 @t222 @t221)) % 0.37/0.61 (define @t228 () (or @t120 @t123 @t70 @t226 @t225 @t224 @t223 @t222 @t221)) % 0.37/0.61 (define @t229 () (not @t83)) % 0.37/0.61 (define @t230 () (not @t94)) % 0.37/0.61 (define @t231 () (or @t230 @t230 @t229 @t70 @t226 @t225 @t224 @t223 @t222 @t221)) % 0.37/0.61 (define @t232 () (or @t230 @t229 @t70 @t226 @t225 @t224 @t223 @t222 @t221)) % 0.37/0.61 (define @t233 () (forall @t26 @t232)) % 0.37/0.61 (define @t234 () (forall @t220 @t233)) % 0.37/0.61 (define @t235 () (forall (@list @t12 @t2 @t219 @t218 @t21) @t232)) % 0.37/0.61 (define @t236 () (@list @t21 @t12 @t2 @t219 @t218)) % 0.37/0.61 (define @t237 () (or @t223 @t222 @t221)) % 0.37/0.61 (define @t238 () (or @t226 @t225 @t224)) % 0.37/0.61 (define @t239 () (or @t230 @t238 @t229 @t237 @t70)) % 0.37/0.61 (define @t240 () (forall @t236 @t239)) % 0.37/0.61 (define @t241 () (forall (@list @t219 @t218) @t239)) % 0.37/0.61 (define @t242 () (forall (@list @t218) @t237)) % 0.37/0.61 (define @t243 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 0.37/0.61 (define @t244 () (@list @t243)) % 0.37/0.61 (define @t245 () (forall (@list @t219) @t238)) % 0.37/0.61 (define @t246 () (@var "BOUND_VARIABLE_7748" $$unsorted)) % 0.37/0.61 (define @t247 () (@list @t246)) % 0.37/0.61 (define @t248 () (or @t230 @t245 @t229 @t242 @t70)) % 0.37/0.61 (define @t249 () (not (tptp.relstr_set_smaller @t3 @t2 @t243))) % 0.37/0.61 (define @t250 () (not (tptp.in @t243 @t5))) % 0.37/0.61 (define @t251 () (not (tptp.element @t243 @t7))) % 0.37/0.61 (define @t252 () (or @t251 @t250 @t249)) % 0.37/0.61 (define @t253 () (@list @t243)) % 0.37/0.61 (define @t254 () (forall @t253 @t252)) % 0.37/0.61 (define @t255 () (not (tptp.relstr_set_smaller @t3 @t12 @t246))) % 0.37/0.61 (define @t256 () (not (tptp.in @t246 @t5))) % 0.37/0.61 (define @t257 () (not (tptp.element @t246 @t7))) % 0.37/0.61 (define @t258 () (or @t257 @t256 @t255)) % 0.37/0.61 (define @t259 () (@list @t246)) % 0.37/0.61 (define @t260 () (forall @t259 @t258)) % 0.37/0.61 (define @t261 () (or @t230 @t260 @t229 @t254 @t70)) % 0.37/0.61 (define @t262 () (not @t254)) % 0.37/0.61 (define @t263 () (not @t262)) % 0.37/0.61 (define @t264 () (not @t260)) % 0.37/0.61 (define @t265 () (not @t264)) % 0.37/0.61 (define @t266 () (or @t230 @t265 @t229 @t263)) % 0.37/0.61 (define @t267 () (and @t94 @t264 @t83 @t262)) % 0.37/0.61 (define @t268 () (not (= @t2 @t2))) % 0.37/0.61 (define @t269 () (or @t268 @t251 @t250 @t249)) % 0.37/0.61 (define @t270 () (not (tptp.relstr_set_smaller @t3 @t72 @t243))) % 0.37/0.61 (define @t271 () (= @t2 @t72)) % 0.37/0.61 (define @t272 () (not @t271)) % 0.37/0.61 (define @t273 () (or @t272 @t272 @t251 @t250 @t270)) % 0.37/0.61 (define @t274 () (or @t272 @t251 @t250 @t270)) % 0.37/0.61 (define @t275 () (forall @t81 @t274)) % 0.37/0.61 (define @t276 () (forall @t253 @t275)) % 0.37/0.61 (define @t277 () (forall (@list @t243 @t72) @t274)) % 0.37/0.61 (define @t278 () (@list @t72 @t243)) % 0.37/0.61 (define @t279 () (or @t251 @t250 @t270)) % 0.37/0.61 (define @t280 () (or @t272 @t279)) % 0.37/0.61 (define @t281 () (forall @t278 @t280)) % 0.37/0.61 (define @t282 () (forall @t253 @t280)) % 0.37/0.61 (define @t283 () (forall @t253 @t279)) % 0.37/0.61 (define @t284 () (or @t272 @t283)) % 0.37/0.61 (define @t285 () (not @t73)) % 0.37/0.61 (define @t286 () (not @t74)) % 0.37/0.61 (define @t287 () (not @t75)) % 0.37/0.61 (define @t288 () (or @t287 @t286 @t285)) % 0.37/0.61 (define @t289 () (forall @t77 @t288)) % 0.37/0.61 (define @t290 () (not @t289)) % 0.37/0.61 (define @t291 () (and @t271 @t290)) % 0.37/0.61 (define @t292 () (forall @t81 (not @t291))) % 0.37/0.61 (define @t293 () (not @t292)) % 0.37/0.61 (define @t294 () (forall @t77 (not @t76))) % 0.37/0.61 (define @t295 () (not @t294)) % 0.37/0.61 (define @t296 () (or @t120 @t257 @t256 @t255)) % 0.37/0.61 (define @t297 () (not (tptp.relstr_set_smaller @t3 @t1 @t246))) % 0.37/0.61 (define @t298 () (= @t12 @t1)) % 0.37/0.61 (define @t299 () (not @t298)) % 0.37/0.61 (define @t300 () (or @t299 @t299 @t257 @t256 @t297)) % 0.37/0.61 (define @t301 () (or @t299 @t257 @t256 @t297)) % 0.37/0.61 (define @t302 () (forall @t10 @t301)) % 0.37/0.61 (define @t303 () (forall @t259 @t302)) % 0.37/0.61 (define @t304 () (forall (@list @t246 @t1) @t301)) % 0.37/0.61 (define @t305 () (@list @t1 @t246)) % 0.37/0.61 (define @t306 () (or @t257 @t256 @t297)) % 0.37/0.61 (define @t307 () (or @t299 @t306)) % 0.37/0.61 (define @t308 () (forall @t305 @t307)) % 0.37/0.61 (define @t309 () (forall @t259 @t307)) % 0.37/0.61 (define @t310 () (forall @t259 @t306)) % 0.37/0.61 (define @t311 () (or @t299 @t310)) % 0.37/0.61 (define @t312 () (not @t85)) % 0.37/0.61 (define @t313 () (not @t86)) % 0.37/0.61 (define @t314 () (not @t87)) % 0.37/0.61 (define @t315 () (or @t314 @t313 @t312)) % 0.37/0.61 (define @t316 () (forall @t89 @t315)) % 0.37/0.61 (define @t317 () (not @t316)) % 0.37/0.61 (define @t318 () (and @t298 @t317)) % 0.37/0.61 (define @t319 () (forall @t10 (not @t318))) % 0.37/0.61 (define @t320 () (not @t319)) % 0.37/0.61 (define @t321 () (forall @t89 (not @t88))) % 0.37/0.61 (define @t322 () (not @t321)) % 0.37/0.61 (assume @p1 @t39) % 0.37/0.61 (assume @p2 true) % 0.37/0.61 (assume @p3 (exists @t41 (and @t40 @t34))) % 0.37/0.61 (assume @p4 (forall @t41 (=> @t42 (not (tptp.empty @t7))))) % 0.37/0.61 (assume @p5 (forall @t41 (=> @t42 (exists @t45 (and @t30 @t44))))) % 0.37/0.61 (assume @p6 (exists @t41 (and @t48 @t46))) % 0.37/0.61 (assume @p7 (forall @t41 (=> @t47 @t46))) % 0.37/0.61 (assume @p8 (forall @t41 (=> @t48 (exists @t45 (and @t51 @t44 @t49))))) % 0.37/0.61 (assume @p9 (forall @t41 (=> @t48 (exists @t45 (and @t51 @t44))))) % 0.37/0.61 (assume @p10 (forall @t41 (exists @t45 (and @t51 @t43)))) % 0.37/0.61 (assume @p11 (exists @t41 @t47)) % 0.37/0.61 (assume @p12 (exists @t41 @t48)) % 0.37/0.61 (assume @p13 (forall (@list @t3 @t5) (=> (tptp.in @t3 @t5) (not (tptp.in @t5 @t3))))) % 0.37/0.61 (assume @p14 (forall @t41 (=> @t31 @t40))) % 0.37/0.61 (assume @p15 (forall @t41 (=> @t46 (forall @t45 (=> @t51 @t49))))) % 0.37/0.61 (assume @p16 (forall @t41 (not (tptp.empty @t50)))) % 0.37/0.61 (assume @p17 @t101) % 0.37/0.61 (step @p18 :rule aci_norm :args ((= (or @t116 @t109) @t115))) % 0.37/0.61 (step @p19 :rule refl :args (@t109)) % 0.37/0.61 (step @p20 :rule refl :args (@t110)) % 0.37/0.61 (step @p21 :rule refl :args (@t111)) % 0.37/0.61 (step @p22 :rule refl :args (@t112)) % 0.37/0.61 (step @p23 :rule refl :args (@t113)) % 0.37/0.61 (step @p24 :rule refl :args (@t114)) % 0.37/0.61 (step @p25 :rule bool-double-not-elim :args (@t33)) % 0.37/0.61 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23 @p22 @p21 @p20) :args (@t118)) % 0.37/0.61 (step @p27 :rule aci_norm :args ((= (or @t117 (or @t114 (or @t113 (or @t112 (or @t111 @t110))))) @t118))) % 0.37/0.61 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.61 (step @p29 :rule bool-and-de-morgan :args (@t29 @t28 true)) % 0.37/0.61 (step @p30 :rule nary_cong :premises (@p22 @p29) :args ((or @t112 (not (and @t29 @t28))))) % 0.37/0.61 (step @p31 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28))) % 0.37/0.61 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.61 (step @p33 :rule nary_cong :premises (@p23 @p32) :args ((or @t113 (not (and @t30 @t29 @t28))))) % 0.37/0.61 (step @p34 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t28))) % 0.37/0.61 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.61 (step @p36 :rule nary_cong :premises (@p24 @p35) :args ((or @t114 (not (and @t31 @t30 @t29 @t28))))) % 0.37/0.61 (step @p37 :rule bool-and-de-morgan :args (@t32 @t31 (and @t30 @t29 @t28))) % 0.37/0.61 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.61 (step @p39 :rule refl :args (@t117)) % 0.37/0.61 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t117 (not (and @t32 @t31 @t30 @t29 @t28))))) % 0.37/0.61 (step @p41 :rule bool-and-de-morgan :args (@t34 @t32 (and @t31 @t30 @t29 @t28))) % 0.37/0.61 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.61 (step @p43 :rule trans :premises (@p42 @p28)) % 0.37/0.61 (step @p44 :rule nary_cong :premises (@p43 @p19) :args ((or @t119 @t109))) % 0.37/0.61 (step @p45 :rule trans :premises (@p44 @p18)) % 0.37/0.61 (step @p46 :rule bool-impl-elim :args (@t35 @t109)) % 0.37/0.61 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.61 (step @p48 :rule cong :premises (@p47) :args ((forall @t37 (=> @t35 @t109)))) % 0.37/0.61 (step @p49 :rule exists-elim :args ((= (exists @t26 @t108) @t109))) % 0.37/0.61 (step @p50 :rule aci_norm :args ((= (or false @t105 @t104 @t103) @t106))) % 0.37/0.61 (step @p51 :rule refl :args (@t103)) % 0.37/0.61 (step @p52 :rule refl :args (@t104)) % 0.37/0.61 (step @p53 :rule refl :args (@t105)) % 0.37/0.61 (step @p54 :rule evaluate :args ((not true))) % 0.37/0.61 (step @p55 :rule eq-refl :args (@t12)) % 0.37/0.61 (step @p56 :rule cong :premises (@p55) :args (@t120)) % 0.37/0.61 (step @p57 :rule trans :premises (@p56 @p54)) % 0.37/0.61 (step @p58 :rule nary_cong :premises (@p57 @p53 @p52 @p51) :args (@t121)) % 0.37/0.61 (step @p59 :rule trans :premises (@p58 @p50)) % 0.37/0.61 (step @p60 :rule cong :premises (@p59) :args ((forall @t107 @t121))) % 0.37/0.61 (step @p61 :rule quant-var-elim-eq :args ((= (forall @t15 (or @t124 @t123 @t105 @t104 @t122)) @t121))) % 0.37/0.61 (step @p62 :rule refl :args (@t122)) % 0.37/0.61 (step @p63 :rule refl :args (@t104)) % 0.37/0.61 (step @p64 :rule refl :args (@t105)) % 0.37/0.61 (step @p65 :rule refl :args (@t123)) % 0.37/0.61 (step @p66 :rule eq-symm :args (@t12 @t2)) % 0.37/0.61 (step @p67 :rule cong :premises (@p66) :args (@t123)) % 0.37/0.61 (step @p68 :rule nary_cong :premises (@p67 @p65 @p64 @p63 @p62) :args (@t125)) % 0.37/0.61 (step @p69 :rule aci_norm :args ((= @t126 @t125))) % 0.37/0.61 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.61 (step @p71 :rule cong :premises (@p70) :args (@t127)) % 0.37/0.61 (step @p72 :rule trans :premises (@p71 @p61)) % 0.37/0.61 (step @p73 :rule cong :premises (@p72) :args (@t128)) % 0.37/0.61 (step @p74 :rule quant-merge-prenex :args ((= @t128 @t129))) % 0.37/0.61 (step @p75 :rule symm :premises (@p74)) % 0.37/0.61 (step @p76 :rule quant_var_reordering :args ((= (forall @t130 @t126) @t129))) % 0.37/0.61 (step @p77 :rule trans :premises (@p76 @p75 @p73)) % 0.37/0.61 (step @p78 :rule trans :premises (@p77 @p60)) % 0.37/0.61 (step @p79 :rule aci_norm :args ((= @t132 @t126))) % 0.37/0.61 (step @p80 :rule cong :premises (@p79) :args (@t133)) % 0.37/0.61 (step @p81 :rule trans :premises (@p80 @p78)) % 0.37/0.61 (step @p82 :rule quant-merge-prenex :args ((= (forall @t15 @t134) @t133))) % 0.37/0.61 (step @p83 :rule alpha_equiv :args (@t135 (@list @t102) (@list @t1))) % 0.37/0.61 (step @p84 :rule nary_cong :premises (@p65 @p83) :args (@t136)) % 0.37/0.61 (step @p85 :rule quant-miniscope-or :args ((= @t134 @t136))) % 0.37/0.61 (step @p86 :rule trans :premises (@p85 @p84)) % 0.37/0.61 (step @p87 :rule symm :premises (@p86)) % 0.37/0.61 (step @p88 :rule cong :premises (@p87) :args ((forall @t15 (or @t123 @t141)))) % 0.37/0.61 (step @p89 :rule trans :premises (@p88 @p82)) % 0.37/0.61 (step @p90 :rule trans :premises (@p89 @p81)) % 0.37/0.61 (step @p91 :rule bool-double-not-elim :args (@t141)) % 0.37/0.61 (step @p92 :rule nary_cong :premises (@p65 @p91) :args ((or @t123 (not @t142)))) % 0.37/0.61 (step @p93 :rule bool-and-de-morgan :args (@t70 @t142 true)) % 0.37/0.61 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.61 (step @p95 :rule cong :premises (@p94) :args (@t144)) % 0.37/0.61 (step @p96 :rule trans :premises (@p95 @p90)) % 0.37/0.61 (step @p97 :rule cong :premises (@p96) :args (@t145)) % 0.37/0.61 (step @p98 :rule exists-elim :args ((= (exists @t15 @t143) @t145))) % 0.37/0.61 (step @p99 :rule trans :premises (@p98 @p97)) % 0.37/0.61 (step @p100 :rule aci_norm :args ((= (or @t139 (or @t138 @t137)) @t140))) % 0.37/0.61 (step @p101 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.37/0.61 (step @p102 :rule refl :args (@t139)) % 0.37/0.61 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t139 (not (and @t6 @t4))))) % 0.37/0.61 (step @p104 :rule bool-and-de-morgan :args (@t8 @t6 (and @t4))) % 0.37/0.61 (step @p105 :rule trans :premises (@p104 @p103)) % 0.37/0.61 (step @p106 :rule trans :premises (@p105 @p100)) % 0.37/0.61 (step @p107 :rule cong :premises (@p106) :args (@t146)) % 0.37/0.61 (step @p108 :rule cong :premises (@p107) :args (@t147)) % 0.37/0.61 (step @p109 :rule exists-elim :args ((= @t11 @t147))) % 0.37/0.61 (step @p110 :rule trans :premises (@p109 @p108)) % 0.37/0.61 (step @p111 :rule eq-symm :args (@t2 @t12)) % 0.37/0.61 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t14)) % 0.37/0.61 (step @p113 :rule cong :premises (@p112) :args (@t16)) % 0.37/0.61 (step @p114 :rule trans :premises (@p113 @p99)) % 0.37/0.61 (step @p115 :rule refl :args (@t19)) % 0.37/0.61 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t20)) % 0.37/0.61 (step @p117 :rule refl :args (@t22)) % 0.37/0.61 (step @p118 :rule cong :premises (@p117 @p116) :args (@t23)) % 0.37/0.61 (step @p119 :rule cong :premises (@p118) :args (@t25)) % 0.37/0.61 (step @p120 :rule cong :premises (@p119) :args (@t27)) % 0.37/0.61 (step @p121 :rule trans :premises (@p120 @p49)) % 0.37/0.61 (step @p122 :rule refl :args (@t35)) % 0.37/0.61 (step @p123 :rule cong :premises (@p122 @p121) :args (@t36)) % 0.37/0.61 (step @p124 :rule cong :premises (@p123) :args (@t38)) % 0.37/0.61 (step @p125 :rule trans :premises (@p124 @p48)) % 0.37/0.61 (step @p126 :rule cong :premises (@p125) :args (@t39)) % 0.37/0.61 (step @p127 :rule eq_resolve :premises (@p1 @p126)) % 0.37/0.61 (step @p128 :rule aci_norm :args ((= @t157 @t156))) % 0.37/0.61 (step @p129 :rule refl :args (@t22)) % 0.37/0.61 (step @p130 :rule cong :premises (@p129 @p128) :args (@t158)) % 0.37/0.61 (step @p131 :rule cong :premises (@p130) :args (@t159)) % 0.37/0.61 (step @p132 :rule cong :premises (@p131) :args (@t160)) % 0.37/0.61 (step @p133 :rule cong :premises (@p132) :args (@t161)) % 0.37/0.61 (step @p134 :rule cong :premises (@p133) :args (@t162)) % 0.37/0.61 (step @p135 :rule refl :args (@t33)) % 0.37/0.61 (step @p136 :rule nary_cong :premises (@p135 @p24 @p23 @p22 @p21 @p20 @p134) :args (@t163)) % 0.37/0.61 (step @p137 :rule cong :premises (@p136) :args (@t164)) % 0.37/0.61 (step @p138 :rule symm :premises (@p137)) % 0.37/0.61 (step @p139 :rule true_intro :premises (@p138)) % 0.37/0.61 (step @p140 :rule eq-symm :args (@t164 @t165)) % 0.37/0.61 (step @p141 :rule trans :premises (@p140 @p139)) % 0.37/0.61 (step @p142 :rule cong :premises (@p138 @p137) :args ((= @t165 @t164))) % 0.37/0.61 (step @p143 :rule trans :premises (@p142 @p141)) % 0.37/0.61 (step @p144 :rule true_elim :premises (@p143)) % 0.37/0.61 (step @p145 :rule alpha_equiv :args ((forall (@list @t168 @t169 @t171) (or (tptp.empty_carrier @t168) (not (tptp.transitive_relstr @t168)) (not (tptp.rel_str @t168)) (not (tptp.element @t169 (tptp.powerset @t170))) (not (tptp.finite @t171)) (not (tptp.element @t171 (tptp.powerset @t169))) (not (forall (@list @t172) (not (forall (@list @t167) (= (tptp.in @t167 @t172) (and (tptp.in @t167 (tptp.powerset @t171)) (not (forall (@list @t166) (or (not (tptp.element @t166 @t170)) (not (tptp.in @t166 @t169)) (not (tptp.relstr_set_smaller @t168 @t167 @t166))))))))))))) @t173 (@list @t3 @t5 @t17 @t21 @t12 @t148))) % 0.37/0.61 (step @p146 :rule alpha_equiv :args (@t174 (@list @t3 @t5 @t17 @t21 @t12 @t102) @t173)) % 0.37/0.61 (step @p147 :rule trans :premises (@p146 @p145 @p144)) % 0.37/0.61 (step @p148 :rule equiv_elim2 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@t296))) % 0.37/0.61 (step @p406 :rule refl :args (@t297)) % 0.37/0.61 (step @p407 :rule refl :args (@t256)) % 0.37/0.61 (step @p408 :rule refl :args (@t257)) % 0.37/0.61 (step @p409 :rule refl :args (@t299)) % 0.37/0.61 (step @p410 :rule eq-symm :args (@t12 @t1)) % 0.37/0.61 (step @p411 :rule cong :premises (@p410) :args (@t299)) % 0.37/0.61 (step @p412 :rule nary_cong :premises (@p411 @p409 @p408 @p407 @p406) :args (@t300)) % 0.37/0.61 (step @p413 :rule aci_norm :args ((= @t301 @t300))) % 0.37/0.61 (step @p414 :rule trans :premises (@p413 @p412)) % 0.37/0.61 (step @p415 :rule cong :premises (@p414) :args (@t302)) % 0.37/0.61 (step @p416 :rule trans :premises (@p415 @p405)) % 0.37/0.61 (step @p417 :rule cong :premises (@p416) :args (@t303)) % 0.37/0.61 (step @p418 :rule quant-merge-prenex :args ((= @t303 @t304))) % 0.37/0.61 (step @p419 :rule symm :premises (@p418)) % 0.37/0.61 (step @p420 :rule quant_var_reordering :args ((= (forall @t305 @t301) @t304))) % 0.37/0.61 (step @p421 :rule trans :premises (@p420 @p419 @p417)) % 0.37/0.61 (step @p422 :rule trans :premises (@p421 @p404)) % 0.37/0.61 (step @p423 :rule aci_norm :args ((= @t307 @t301))) % 0.37/0.61 (step @p424 :rule cong :premises (@p423) :args (@t308)) % 0.37/0.61 (step @p425 :rule trans :premises (@p424 @p422)) % 0.37/0.61 (step @p426 :rule quant-merge-prenex :args ((= (forall @t10 @t309) @t308))) % 0.37/0.61 (step @p427 :rule alpha_equiv :args (@t310 @t247 (@list @t84))) % 0.37/0.61 (step @p428 :rule nary_cong :premises (@p409 @p427) :args (@t311)) % 0.37/0.61 (step @p429 :rule quant-miniscope-or :args ((= @t309 @t311))) % 0.37/0.61 (step @p430 :rule trans :premises (@p429 @p428)) % 0.37/0.61 (step @p431 :rule symm :premises (@p430)) % 0.37/0.61 (step @p432 :rule cong :premises (@p431) :args ((forall @t10 (or @t299 @t316)))) % 0.37/0.61 (step @p433 :rule trans :premises (@p432 @p426)) % 0.37/0.61 (step @p434 :rule trans :premises (@p433 @p425)) % 0.37/0.61 (step @p435 :rule bool-double-not-elim :args (@t316)) % 0.37/0.61 (step @p436 :rule nary_cong :premises (@p409 @p435) :args ((or @t299 (not @t317)))) % 0.37/0.61 (step @p437 :rule bool-and-de-morgan :args (@t298 @t317 true)) % 0.37/0.61 (step @p438 :rule trans :premises (@p437 @p436)) % 0.37/0.61 (step @p439 :rule cong :premises (@p438) :args (@t319)) % 0.37/0.61 (step @p440 :rule trans :premises (@p439 @p434)) % 0.37/0.61 (step @p441 :rule cong :premises (@p440) :args (@t320)) % 0.37/0.61 (step @p442 :rule exists-elim :args ((= (exists @t10 @t318) @t320))) % 0.37/0.61 (step @p443 :rule trans :premises (@p442 @p441)) % 0.37/0.61 (step @p444 :rule aci_norm :args ((= (or @t314 (or @t313 @t312)) @t315))) % 0.37/0.61 (step @p445 :rule bool-and-de-morgan :args (@t86 @t85 true)) % 0.37/0.61 (step @p446 :rule refl :args (@t314)) % 0.37/0.61 (step @p447 :rule nary_cong :premises (@p446 @p445) :args ((or @t314 (not (and @t86 @t85))))) % 0.37/0.61 (step @p448 :rule bool-and-de-morgan :args (@t87 @t86 (and @t85))) % 0.37/0.61 (step @p449 :rule trans :premises (@p448 @p447)) % 0.37/0.61 (step @p450 :rule trans :premises (@p449 @p444)) % 0.37/0.61 (step @p451 :rule cong :premises (@p450) :args (@t321)) % 0.37/0.61 (step @p452 :rule cong :premises (@p451) :args (@t322)) % 0.37/0.61 (step @p453 :rule exists-elim :args ((= @t90 @t322))) % 0.37/0.61 (step @p454 :rule trans :premises (@p453 @p452)) % 0.37/0.61 (step @p455 :rule eq-symm :args (@t1 @t12)) % 0.37/0.61 (step @p456 :rule nary_cong :premises (@p455 @p454) :args (@t92)) % 0.37/0.61 (step @p457 :rule cong :premises (@p456) :args (@t93)) % 0.37/0.61 (step @p458 :rule trans :premises (@p457 @p443)) % 0.37/0.61 (step @p459 :rule refl :args (@t94)) % 0.37/0.61 (step @p460 :rule nary_cong :premises (@p459 @p458 @p397 @p396) :args (@t95)) % 0.37/0.61 (step @p461 :rule cong :premises (@p460 @p280) :args (@t96)) % 0.37/0.61 (step @p462 :rule cong :premises (@p461) :args (@t98)) % 0.37/0.61 (step @p463 :rule trans :premises (@p462 @p332)) % 0.37/0.61 (step @p464 :rule cong :premises (@p463 @p268) :args (@t99)) % 0.37/0.61 (step @p465 :rule trans :premises (@p464 @p157)) % 0.37/0.61 (step @p466 :rule cong :premises (@p122 @p465) :args (@t100)) % 0.37/0.61 (step @p467 :rule cong :premises (@p466) :args (@t101)) % 0.37/0.61 (step @p468 :rule trans :premises (@p467 @p156)) % 0.37/0.61 (step @p469 :rule eq_resolve :premises (@p17 @p468)) % 0.37/0.61 (step @p470 false :rule chain_m_resolution :premises (@p469 @p149) :args (false @t175 (@list @t164))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------