%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU356+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 : n001.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 08:51:30 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU356+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 % 0.18/0.34 % Computer : n001.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:01:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.61 (define @t3 () (@var "E" $$unsorted)) % 0.38/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.61 (define @t5 () (tptp.related @t4 @t2 @t3)) % 0.38/0.61 (define @t6 () (@var "B" $$unsorted)) % 0.38/0.61 (define @t7 () (tptp.relstr_set_smaller @t4 @t6 @t3)) % 0.38/0.61 (define @t8 () (=> @t7 @t5)) % 0.38/0.61 (define @t9 () (tptp.the_carrier @t4)) % 0.38/0.61 (define @t10 () (tptp.element @t3 @t9)) % 0.38/0.61 (define @t11 () (@list @t3)) % 0.38/0.61 (define @t12 () (forall @t11 (=> @t10 @t8))) % 0.38/0.61 (define @t13 () (tptp.relstr_set_smaller @t4 @t6 @t2)) % 0.38/0.61 (define @t14 () (and @t13 @t12)) % 0.38/0.61 (define @t15 () (=> @t14 (= @t2 @t1))) % 0.38/0.61 (define @t16 () (tptp.element @t2 @t9)) % 0.38/0.61 (define @t17 () (=> @t16 @t15)) % 0.38/0.61 (define @t18 () (@list @t2)) % 0.38/0.61 (define @t19 () (forall @t18 @t17)) % 0.38/0.61 (define @t20 () (tptp.related @t4 @t1 @t2)) % 0.38/0.61 (define @t21 () (=> @t13 @t20)) % 0.38/0.61 (define @t22 () (forall @t18 (=> @t16 @t21))) % 0.38/0.61 (define @t23 () (tptp.relstr_set_smaller @t4 @t6 @t1)) % 0.38/0.61 (define @t24 () (tptp.element @t1 @t9)) % 0.38/0.61 (define @t25 () (and @t24 @t23 @t22 @t19)) % 0.38/0.61 (define @t26 () (@list @t1)) % 0.38/0.61 (define @t27 () (exists @t26 @t25)) % 0.38/0.61 (define @t28 () (tptp.ex_sup_of_relstr_set @t4 @t6)) % 0.38/0.61 (define @t29 () (= @t28 @t27)) % 0.38/0.61 (define @t30 () (@list @t6)) % 0.38/0.61 (define @t31 () (forall @t30 @t29)) % 0.38/0.61 (define @t32 () (tptp.rel_str @t4)) % 0.38/0.61 (define @t33 () (=> @t32 @t31)) % 0.38/0.61 (define @t34 () (@list @t4)) % 0.38/0.61 (define @t35 () (forall @t34 @t33)) % 0.38/0.61 (define @t36 () (tptp.one_sorted_str @t4)) % 0.38/0.61 (define @t37 () (and @t24 @t23 @t22)) % 0.38/0.61 (define @t38 () (exists @t26 @t37)) % 0.38/0.61 (define @t39 () (= @t28 @t38)) % 0.38/0.61 (define @t40 () (forall @t30 @t39)) % 0.38/0.61 (define @t41 () (tptp.antisymmetric_relstr @t4)) % 0.38/0.61 (define @t42 () (and @t41 @t32)) % 0.38/0.61 (define @t43 () (=> @t42 @t40)) % 0.38/0.61 (define @t44 () (forall @t34 @t43)) % 0.38/0.61 (define @t45 () (not @t44)) % 0.38/0.61 (define @t46 () (= @t6 @t1)) % 0.38/0.61 (define @t47 () (tptp.related @t4 @t1 @t6)) % 0.38/0.61 (define @t48 () (tptp.related @t4 @t6 @t1)) % 0.38/0.61 (define @t49 () (and @t48 @t47)) % 0.38/0.61 (define @t50 () (=> @t49 @t46)) % 0.38/0.61 (define @t51 () (forall @t26 (=> @t24 @t50))) % 0.38/0.61 (define @t52 () (tptp.element @t6 @t9)) % 0.38/0.61 (define @t53 () (=> @t52 @t51)) % 0.38/0.61 (define @t54 () (forall @t30 @t53)) % 0.38/0.61 (define @t55 () (=> @t42 @t54)) % 0.38/0.61 (define @t56 () (forall @t34 @t55)) % 0.38/0.61 (define @t57 () (@var "BOUND_VARIABLE_7584" $$unsorted)) % 0.38/0.61 (define @t58 () (not @t16)) % 0.38/0.61 (define @t59 () (not @t24)) % 0.38/0.61 (define @t60 () (= (tptp.ex_sup_of_relstr_set @t4 @t57) (not (forall @t26 (or @t59 (not (tptp.relstr_set_smaller @t4 @t57 @t1)) (not (forall @t18 (or @t58 (not (tptp.relstr_set_smaller @t4 @t57 @t2)) @t20)))))))) % 0.38/0.61 (define @t61 () (not @t32)) % 0.38/0.61 (define @t62 () (not @t41)) % 0.38/0.61 (define @t63 () (or @t62 @t61 @t60)) % 0.38/0.61 (define @t64 () (forall (@list @t4 @t57) @t63)) % 0.38/0.61 (define @t65 () (@list @t57)) % 0.38/0.61 (define @t66 () (forall @t65 @t63)) % 0.38/0.61 (define @t67 () (forall @t65 @t60)) % 0.38/0.61 (define @t68 () (@list @t6)) % 0.38/0.61 (define @t69 () (or @t62 @t61 @t67)) % 0.38/0.61 (define @t70 () (not @t13)) % 0.38/0.61 (define @t71 () (or @t58 @t70 @t20)) % 0.38/0.61 (define @t72 () (forall @t18 @t71)) % 0.38/0.61 (define @t73 () (not @t72)) % 0.38/0.61 (define @t74 () (not @t23)) % 0.38/0.61 (define @t75 () (or @t59 @t74 @t73)) % 0.38/0.61 (define @t76 () (forall @t30 (= @t28 (not (forall @t26 @t75))))) % 0.38/0.61 (define @t77 () (or @t62 @t61 @t76)) % 0.38/0.61 (define @t78 () (or @t62 @t61)) % 0.38/0.61 (define @t79 () (not @t42)) % 0.38/0.61 (define @t80 () (and @t24 @t23 @t72)) % 0.38/0.61 (define @t81 () (forall @t26 (not @t80))) % 0.38/0.61 (define @t82 () (not @t81)) % 0.38/0.61 (define @t83 () (@quantifiers_skolemize @t64 0)) % 0.38/0.61 (define @t84 () (tptp.antisymmetric_relstr @t83)) % 0.38/0.61 (define @t85 () (@quantifiers_skolemize @t64 1)) % 0.38/0.61 (define @t86 () (not (tptp.relstr_set_smaller @t83 @t85 @t2))) % 0.38/0.61 (define @t87 () (tptp.the_carrier @t83)) % 0.38/0.61 (define @t88 () (not (tptp.element @t2 @t87))) % 0.38/0.61 (define @t89 () (not (forall @t18 (or @t88 @t86 (tptp.related @t83 @t1 @t2))))) % 0.38/0.61 (define @t90 () (not (tptp.relstr_set_smaller @t83 @t85 @t1))) % 0.38/0.61 (define @t91 () (not (tptp.element @t1 @t87))) % 0.38/0.61 (define @t92 () (forall @t26 (or @t91 @t90 @t89))) % 0.38/0.61 (define @t93 () (not @t92)) % 0.38/0.61 (define @t94 () (tptp.ex_sup_of_relstr_set @t83 @t85)) % 0.38/0.61 (define @t95 () (= @t94 @t93)) % 0.38/0.61 (define @t96 () (tptp.rel_str @t83)) % 0.38/0.61 (define @t97 () (not @t96)) % 0.38/0.61 (define @t98 () (not @t84)) % 0.38/0.61 (define @t99 () (or @t98 @t97 @t95)) % 0.38/0.61 (define @t100 () (@list true)) % 0.38/0.61 (define @t101 () (@list @t99)) % 0.38/0.61 (define @t102 () (= @t1 @t2)) % 0.38/0.61 (define @t103 () (@var "BOUND_VARIABLE_7526" $$unsorted)) % 0.38/0.61 (define @t104 () (not @t10)) % 0.38/0.61 (define @t105 () (not (tptp.relstr_set_smaller @t4 @t103 @t2))) % 0.38/0.61 (define @t106 () (= (tptp.ex_sup_of_relstr_set @t4 @t103) (not (forall @t26 (or @t59 (not (tptp.relstr_set_smaller @t4 @t103 @t1)) (not (forall @t18 (or @t58 @t105 @t20))) (not (forall @t18 (or @t58 @t105 (not (forall @t11 (or @t104 (not (tptp.relstr_set_smaller @t4 @t103 @t3)) @t5))) @t102)))))))) % 0.38/0.61 (define @t107 () (or @t61 @t106)) % 0.38/0.61 (define @t108 () (@list @t103)) % 0.38/0.61 (define @t109 () (forall @t108 @t107)) % 0.38/0.61 (define @t110 () (forall @t108 @t106)) % 0.38/0.61 (define @t111 () (or @t61 @t110)) % 0.38/0.61 (define @t112 () (not @t7)) % 0.38/0.61 (define @t113 () (or @t104 @t112 @t5)) % 0.38/0.61 (define @t114 () (forall @t11 @t113)) % 0.38/0.61 (define @t115 () (not @t114)) % 0.38/0.61 (define @t116 () (or @t58 @t70 @t115 @t102)) % 0.38/0.61 (define @t117 () (forall @t18 @t116)) % 0.38/0.61 (define @t118 () (not @t117)) % 0.38/0.61 (define @t119 () (or @t59 @t74 @t73 @t118)) % 0.38/0.61 (define @t120 () (forall @t30 (= @t28 (not (forall @t26 @t119))))) % 0.38/0.61 (define @t121 () (and @t24 @t23 @t72 @t117)) % 0.38/0.61 (define @t122 () (forall @t26 (not @t121))) % 0.38/0.61 (define @t123 () (not @t122)) % 0.38/0.61 (define @t124 () (or @t70 @t115 @t102)) % 0.38/0.61 (define @t125 () (and @t13 @t114)) % 0.38/0.61 (define @t126 () (=> @t125 @t102)) % 0.38/0.61 (define @t127 () (not (tptp.relstr_set_smaller @t83 @t85 @t3))) % 0.38/0.61 (define @t128 () (not (tptp.element @t3 @t87))) % 0.38/0.61 (define @t129 () (not (forall @t11 (or @t128 @t127 (tptp.related @t83 @t2 @t3))))) % 0.38/0.61 (define @t130 () (forall @t26 (or @t91 @t90 @t89 (not (forall @t18 (or @t88 @t86 @t129 @t102)))))) % 0.38/0.61 (define @t131 () (not @t130)) % 0.38/0.61 (define @t132 () (= @t94 @t131)) % 0.38/0.61 (define @t133 () (or @t97 @t132)) % 0.38/0.61 (define @t134 () (@list false false)) % 0.38/0.61 (define @t135 () (not @t132)) % 0.38/0.61 (define @t136 () (not @t131)) % 0.38/0.61 (define @t137 () (not @t94)) % 0.38/0.61 (define @t138 () (not @t93)) % 0.38/0.61 (define @t139 () (@quantifiers_skolemize @t130 0)) % 0.38/0.61 (define @t140 () (forall @t18 (or @t88 @t86 (tptp.related @t83 @t139 @t2)))) % 0.38/0.61 (define @t141 () (not @t140)) % 0.38/0.61 (define @t142 () (tptp.relstr_set_smaller @t83 @t85 @t139)) % 0.38/0.61 (define @t143 () (not @t142)) % 0.38/0.61 (define @t144 () (tptp.element @t139 @t87)) % 0.38/0.61 (define @t145 () (not @t144)) % 0.38/0.61 (define @t146 () (or @t145 @t143 @t141 (not (forall @t18 (or @t88 @t86 @t129 (= @t2 @t139)))))) % 0.38/0.61 (define @t147 () (not @t146)) % 0.38/0.61 (define @t148 () (or @t88 @t86 @t129 (= @t139 @t2))) % 0.38/0.61 (define @t149 () (forall @t18 @t148)) % 0.38/0.61 (define @t150 () (not @t149)) % 0.38/0.61 (define @t151 () (or @t145 @t143 @t141 @t150)) % 0.38/0.61 (define @t152 () (not @t151)) % 0.38/0.61 (define @t153 () (or @t145 @t143 @t141)) % 0.38/0.61 (define @t154 () (@quantifiers_skolemize @t92 0)) % 0.38/0.61 (define @t155 () (forall @t18 (or @t88 @t86 (tptp.related @t83 @t154 @t2)))) % 0.38/0.61 (define @t156 () (not @t155)) % 0.38/0.61 (define @t157 () (tptp.relstr_set_smaller @t83 @t85 @t154)) % 0.38/0.61 (define @t158 () (not @t157)) % 0.38/0.61 (define @t159 () (tptp.element @t154 @t87)) % 0.38/0.61 (define @t160 () (not @t159)) % 0.38/0.61 (define @t161 () (or @t160 @t158 @t156)) % 0.38/0.61 (define @t162 () (not @t161)) % 0.38/0.61 (define @t163 () (@list @t161)) % 0.38/0.61 (define @t164 () (or @t88 @t86 @t129 (= @t154 @t2))) % 0.38/0.61 (define @t165 () (forall @t18 @t164)) % 0.38/0.61 (define @t166 () (not @t165)) % 0.38/0.61 (define @t167 () (or @t160 @t158 @t156 @t166)) % 0.38/0.61 (define @t168 () (@list @t154)) % 0.38/0.61 (define @t169 () (forall @t18 (or @t88 @t86 @t129 (= @t2 @t154)))) % 0.38/0.61 (define @t170 () (not @t169)) % 0.38/0.61 (define @t171 () (or @t160 @t158 @t156 @t170)) % 0.38/0.61 (define @t172 () (@list false)) % 0.38/0.61 (define @t173 () (@quantifiers_skolemize @t169 0)) % 0.38/0.61 (define @t174 () (= @t154 @t173)) % 0.38/0.61 (define @t175 () (forall @t11 (or @t128 @t127 (tptp.related @t83 @t173 @t3)))) % 0.38/0.61 (define @t176 () (not @t175)) % 0.38/0.61 (define @t177 () (tptp.relstr_set_smaller @t83 @t85 @t173)) % 0.38/0.61 (define @t178 () (not @t177)) % 0.38/0.61 (define @t179 () (tptp.element @t173 @t87)) % 0.38/0.61 (define @t180 () (not @t179)) % 0.38/0.61 (define @t181 () (or @t180 @t178 @t176 @t174)) % 0.38/0.61 (define @t182 () (not @t181)) % 0.38/0.61 (define @t183 () (or @t180 @t178 @t176 (= @t173 @t154))) % 0.38/0.61 (define @t184 () (not @t183)) % 0.38/0.61 (define @t185 () (@list @t181)) % 0.38/0.61 (define @t186 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 0.38/0.61 (define @t187 () (@var "BOUND_VARIABLE_7634" $$unsorted)) % 0.38/0.61 (define @t188 () (= @t187 @t186)) % 0.38/0.61 (define @t189 () (not (tptp.related @t4 @t186 @t187))) % 0.38/0.61 (define @t190 () (not (tptp.related @t4 @t187 @t186))) % 0.38/0.61 (define @t191 () (not (tptp.element @t186 @t9))) % 0.38/0.61 (define @t192 () (not (tptp.element @t187 @t9))) % 0.38/0.61 (define @t193 () (or @t192 @t191 @t190 @t189 @t188)) % 0.38/0.61 (define @t194 () (or @t62 @t61 @t193)) % 0.38/0.61 (define @t195 () (forall (@list @t4 @t187 @t186) @t194)) % 0.38/0.61 (define @t196 () (@list @t187 @t186)) % 0.38/0.61 (define @t197 () (forall @t196 @t194)) % 0.38/0.61 (define @t198 () (forall @t196 @t193)) % 0.38/0.61 (define @t199 () (@var "BOUND_VARIABLE_7615" $$unsorted)) % 0.38/0.61 (define @t200 () (or @t62 @t61 @t198)) % 0.38/0.61 (define @t201 () (= @t6 @t199)) % 0.38/0.61 (define @t202 () (not (tptp.related @t4 @t199 @t6))) % 0.38/0.61 (define @t203 () (not (tptp.related @t4 @t6 @t199))) % 0.38/0.61 (define @t204 () (not (tptp.element @t199 @t9))) % 0.38/0.61 (define @t205 () (not @t52)) % 0.38/0.61 (define @t206 () (or @t205 @t204 @t203 @t202 @t201)) % 0.38/0.61 (define @t207 () (@list @t6 @t199)) % 0.38/0.61 (define @t208 () (forall @t207 @t206)) % 0.38/0.61 (define @t209 () (or @t62 @t61 @t208)) % 0.38/0.61 (define @t210 () (or @t204 @t203 @t202 @t201)) % 0.38/0.61 (define @t211 () (or @t205 @t210)) % 0.38/0.61 (define @t212 () (forall @t207 @t211)) % 0.38/0.61 (define @t213 () (@list @t199)) % 0.38/0.61 (define @t214 () (forall @t213 @t211)) % 0.38/0.61 (define @t215 () (forall @t213 @t210)) % 0.38/0.61 (define @t216 () (or @t205 @t215)) % 0.38/0.61 (define @t217 () (not @t47)) % 0.38/0.61 (define @t218 () (not @t48)) % 0.38/0.61 (define @t219 () (or @t59 @t218 @t217 @t46)) % 0.38/0.61 (define @t220 () (forall @t26 @t219)) % 0.38/0.61 (define @t221 () (or @t218 @t217 @t46)) % 0.38/0.61 (define @t222 () (tptp.related @t83 @t154 @t173)) % 0.38/0.61 (define @t223 () (or @t180 @t178 @t222)) % 0.38/0.61 (define @t224 () (@list false false false)) % 0.38/0.61 (define @t225 () (tptp.related @t83 @t173 @t154)) % 0.38/0.61 (define @t226 () (or @t160 @t158 @t225)) % 0.38/0.61 (define @t227 () (not @t225)) % 0.38/0.61 (define @t228 () (not @t222)) % 0.38/0.61 (define @t229 () (or @t98 @t97 @t160 @t180 @t228 @t227 @t174)) % 0.38/0.61 (assume @p1 @t35) % 0.38/0.61 (assume @p2 (forall @t34 (=> @t32 @t36))) % 0.38/0.61 (assume @p3 true) % 0.38/0.61 (assume @p4 (exists @t34 @t32)) % 0.38/0.61 (assume @p5 (exists @t34 @t36)) % 0.38/0.61 (assume @p6 (forall @t34 (exists @t30 (tptp.element @t6 @t4)))) % 0.38/0.61 (assume @p7 @t45) % 0.38/0.61 (assume @p8 @t56) % 0.38/0.61 (step @p9 :rule quant-merge-prenex :args ((= (forall @t34 @t66) @t64))) % 0.38/0.61 (step @p10 :rule alpha_equiv :args (@t67 (@list @t57) @t68)) % 0.38/0.61 (step @p11 :rule refl :args (@t61)) % 0.38/0.61 (step @p12 :rule refl :args (@t62)) % 0.38/0.61 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10) :args (@t69)) % 0.38/0.61 (step @p14 :rule quant-miniscope-or :args ((= @t66 @t69))) % 0.38/0.61 (step @p15 :rule trans :premises (@p14 @p13)) % 0.38/0.61 (step @p16 :rule symm :premises (@p15)) % 0.38/0.61 (step @p17 :rule cong :premises (@p16) :args ((forall @t34 @t77))) % 0.38/0.61 (step @p18 :rule trans :premises (@p17 @p9)) % 0.38/0.61 (step @p19 :rule aci_norm :args ((= (or @t78 @t76) @t77))) % 0.38/0.61 (step @p20 :rule refl :args (@t76)) % 0.38/0.61 (step @p21 :rule bool-and-de-morgan :args (@t41 @t32 true)) % 0.38/0.61 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t79 @t76))) % 0.38/0.61 (step @p23 :rule trans :premises (@p22 @p19)) % 0.38/0.61 (step @p24 :rule bool-impl-elim :args (@t42 @t76)) % 0.38/0.61 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.61 (step @p26 :rule cong :premises (@p25) :args ((forall @t34 (=> @t42 @t76)))) % 0.38/0.61 (step @p27 :rule trans :premises (@p26 @p18)) % 0.38/0.61 (step @p28 :rule aci_norm :args ((= (or @t59 (or @t74 @t73)) @t75))) % 0.38/0.61 (step @p29 :rule bool-and-de-morgan :args (@t23 @t72 true)) % 0.38/0.61 (step @p30 :rule refl :args (@t59)) % 0.38/0.61 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t59 (not (and @t23 @t72))))) % 0.38/0.61 (step @p32 :rule bool-and-de-morgan :args (@t24 @t23 (and @t72))) % 0.38/0.61 (step @p33 :rule trans :premises 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(step @p259 :rule chain_m_resolution :premises (@p258 @p227 @p256 @p250 @p244) :args (@t170 (@list false false false false) (@list @t159 @t157 @t155 @t171))) % 0.38/0.61 (step @p260 :rule refl :args (@t182)) % 0.38/0.61 (step @p261 :rule bool-double-not-elim :args (@t169)) % 0.38/0.61 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or (not @t170) @t182))) % 0.38/0.61 (step @p263 :rule eq-symm :args (@t173 @t154)) % 0.38/0.61 (step @p264 :rule refl :args (@t176)) % 0.38/0.61 (step @p265 :rule refl :args (@t178)) % 0.38/0.61 (step @p266 :rule refl :args (@t180)) % 0.38/0.61 (step @p267 :rule nary_cong :premises (@p266 @p265 @p264 @p263) :args (@t183)) % 0.38/0.61 (step @p268 :rule cong :premises (@p267) :args (@t184)) % 0.38/0.61 (step @p269 :rule refl :args (@t170)) % 0.38/0.61 (step @p270 :rule cong :premises (@p269 @p268) :args ((=> @t170 @t184))) % 0.38/0.61 (assume-push @p385 @t170) % 0.38/0.61 (step @p272 :rule skolemize :premises (@p385)) % 0.38/0.61 (step-pop @p386 :rule scope :premises (@p272)) % 0.38/0.61 (step @p273 :rule process_scope :premises (@p386) :args (@t184)) % 0.38/0.61 (step @p275 :rule eq_resolve :premises (@p273 @p270)) % 0.38/0.61 (step @p276 :rule implies_elim :premises (@p275)) % 0.38/0.61 (step @p277 :rule eq_resolve :premises (@p276 @p262)) % 0.38/0.61 (step @p278 :rule chain_m_resolution :premises (@p277 @p259) :args (@t182 @t100 (@list @t169))) % 0.38/0.61 (step @p279 :rule bool-double-not-elim :args (@t179)) % 0.38/0.61 (step @p280 :rule refl :args (@t181)) % 0.38/0.61 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t181 (not @t180)))) % 0.38/0.61 (step @p282 :rule cnf_or_neg :args (@t181 0)) % 0.38/0.61 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 0.38/0.61 (step @p284 :rule reordering :premises (@p283) :args ((or @t179 @t181))) % 0.38/0.61 (step @p285 :rule chain_m_resolution :premises (@p284 @p278) :args (@t179 @t100 @t185)) % 0.38/0.61 (step @p286 :rule cnf_or_neg :args (@t181 3)) % 0.38/0.61 (step @p287 :rule chain_m_resolution :premises (@p286 @p278) :args ((not @t174) @t100 @t185)) % 0.38/0.61 (step @p288 :rule aci_norm :args ((= @t194 (or @t62 @t61 @t192 @t191 @t190 @t189 @t188)))) % 0.38/0.61 (step @p289 :rule cong :premises (@p288) :args (@t195)) % 0.38/0.61 (step @p290 :rule quant-merge-prenex :args ((= (forall @t34 @t197) @t195))) % 0.38/0.61 (step @p291 :rule alpha_equiv :args (@t198 (@list @t187 @t186) (@list @t6 @t199))) % 0.38/0.61 (step @p292 :rule nary_cong :premises (@p12 @p11 @p291) :args (@t200)) % 0.38/0.61 (step @p293 :rule quant-miniscope-or :args ((= @t197 @t200))) % 0.38/0.61 (step @p294 :rule trans :premises (@p293 @p292)) % 0.38/0.61 (step @p295 :rule symm :premises (@p294)) % 0.38/0.61 (step @p296 :rule cong :premises (@p295) :args ((forall @t34 @t209))) % 0.38/0.61 (step @p297 :rule trans :premises (@p296 @p290)) % 0.38/0.61 (step @p298 :rule trans :premises (@p297 @p289)) % 0.38/0.61 (step @p299 :rule aci_norm :args ((= (or @t78 @t208) @t209))) % 0.38/0.61 (step @p300 :rule refl :args (@t208)) % 0.38/0.61 (step @p301 :rule nary_cong :premises (@p21 @p300) :args ((or @t79 @t208))) % 0.38/0.61 (step @p302 :rule trans :premises (@p301 @p299)) % 0.38/0.61 (step @p303 :rule bool-impl-elim :args (@t42 @t208)) % 0.38/0.61 (step @p304 :rule trans :premises (@p303 @p302)) % 0.38/0.61 (step @p305 :rule cong :premises (@p304) :args ((forall @t34 (=> @t42 @t208)))) % 0.38/0.61 (step @p306 :rule trans :premises (@p305 @p298)) % 0.38/0.61 (step @p307 :rule aci_norm :args ((= @t211 @t206))) % 0.38/0.61 (step @p308 :rule cong :premises (@p307) :args (@t212)) % 0.38/0.61 (step @p309 :rule quant-merge-prenex :args ((= (forall @t30 @t214) @t212))) % 0.38/0.61 (step @p310 :rule alpha_equiv :args (@t215 (@list @t199) (@list @t1))) % 0.38/0.61 (step @p311 :rule refl :args (@t205)) % 0.38/0.61 (step @p312 :rule nary_cong :premises (@p311 @p310) :args (@t216)) % 0.38/0.61 (step @p313 :rule quant-miniscope-or :args ((= @t214 @t216))) % 0.38/0.61 (step @p314 :rule trans :premises (@p313 @p312)) % 0.38/0.61 (step @p315 :rule symm :premises (@p314)) % 0.38/0.61 (step @p316 :rule cong :premises (@p315) :args ((forall @t30 (or @t205 @t220)))) % 0.38/0.61 (step @p317 :rule trans :premises (@p316 @p309)) % 0.38/0.61 (step @p318 :rule trans :premises (@p317 @p308)) % 0.38/0.61 (step @p319 :rule bool-impl-elim :args (@t52 @t220)) % 0.38/0.61 (step @p320 :rule cong :premises (@p319) :args ((forall @t30 (=> @t52 @t220)))) % 0.38/0.61 (step @p321 :rule trans :premises (@p320 @p318)) % 0.38/0.61 (step @p322 :rule aci_norm :args ((= (or @t59 @t221) @t219))) % 0.38/0.61 (step @p323 :rule aci_norm :args ((= (or (or @t218 @t217) @t46) @t221))) % 0.38/0.61 (step @p324 :rule refl :args (@t46)) % 0.38/0.61 (step @p325 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 0.38/0.61 (step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or (not @t49) @t46))) % 0.38/0.61 (step @p327 :rule trans :premises (@p326 @p323)) % 0.38/0.61 (step @p328 :rule bool-impl-elim :args (@t49 @t46)) % 0.38/0.61 (step @p329 :rule trans :premises (@p328 @p327)) % 0.38/0.61 (step @p330 :rule nary_cong :premises (@p30 @p329) :args ((or @t59 @t50))) % 0.38/0.61 (step @p331 :rule trans :premises (@p330 @p322)) % 0.38/0.61 (step @p332 :rule bool-impl-elim :args (@t24 @t50)) % 0.38/0.61 (step @p333 :rule trans :premises (@p332 @p331)) % 0.38/0.61 (step @p334 :rule cong :premises (@p333) :args (@t51)) % 0.38/0.61 (step @p335 :rule refl :args (@t52)) % 0.38/0.61 (step @p336 :rule cong :premises (@p335 @p334) :args (@t53)) % 0.38/0.61 (step @p337 :rule cong :premises (@p336) :args (@t54)) % 0.38/0.61 (step @p338 :rule trans :premises (@p337 @p321)) % 0.38/0.61 (step @p339 :rule cong :premises (@p55 @p338) :args (@t55)) % 0.38/0.61 (step @p340 :rule cong :premises (@p339) :args (@t56)) % 0.38/0.61 (step @p341 :rule trans :premises (@p340 @p306)) % 0.38/0.61 (step @p342 :rule eq_resolve :premises (@p8 @p341)) % 0.38/0.61 (step @p343 :rule instantiate :premises (@p342) :args ((@list @t83 @t154 @t173))) % 0.38/0.61 (assume-push @p387 @t155) % 0.38/0.61 (step @p345 :rule instantiate :premises (@p387) :args ((@list @t173))) % 0.38/0.61 (step-pop @p388 :rule scope :premises (@p345)) % 0.38/0.61 (step @p346 :rule process_scope :premises (@p388) :args (@t223)) % 0.38/0.61 (step @p348 :rule implies_elim :premises (@p346)) % 0.38/0.61 (step @p349 :rule chain_m_resolution :premises (@p348 @p250) :args (@t223 @t172 (@list @t155))) % 0.38/0.61 (step @p350 :rule bool-double-not-elim :args (@t177)) % 0.38/0.61 (step @p351 :rule nary_cong :premises (@p280 @p350) :args ((or @t181 (not @t178)))) % 0.38/0.61 (step @p352 :rule cnf_or_neg :args (@t181 1)) % 0.38/0.61 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 0.38/0.61 (step @p354 :rule reordering :premises (@p353) :args ((or @t177 @t181))) % 0.38/0.61 (step @p355 :rule chain_m_resolution :premises (@p354 @p278) :args (@t177 @t100 @t185)) % 0.38/0.61 (step @p356 :rule cnf_or_pos :args (@t223)) % 0.38/0.61 (step @p357 :rule reordering :premises (@p356) :args ((or @t180 @t178 @t222 (not @t223)))) % 0.38/0.61 (step @p358 :rule chain_m_resolution :premises (@p357 @p285 @p355 @p349) :args (@t222 @t224 (@list @t179 @t177 @t223))) % 0.38/0.61 (step @p359 :rule bool-double-not-elim :args (@t175)) % 0.38/0.61 (step @p360 :rule nary_cong :premises (@p280 @p359) :args ((or @t181 (not @t176)))) % 0.38/0.61 (step @p361 :rule cnf_or_neg :args (@t181 2)) % 0.38/0.61 (step @p362 :rule eq_resolve :premises (@p361 @p360)) % 0.38/0.61 (step @p363 :rule reordering :premises (@p362) :args ((or @t175 @t181))) % 0.38/0.61 (step @p364 :rule chain_m_resolution :premises (@p363 @p278) :args (@t175 @t100 @t185)) % 0.38/0.61 (assume-push @p389 @t175) % 0.38/0.61 (step @p366 :rule instantiate :premises (@p389) :args (@t168)) % 0.38/0.61 (step-pop @p390 :rule scope :premises (@p366)) % 0.38/0.61 (step @p367 :rule process_scope :premises (@p390) :args (@t226)) % 0.38/0.61 (step @p369 :rule implies_elim :premises (@p367)) % 0.38/0.61 (step @p370 :rule chain_m_resolution :premises (@p369 @p364) :args (@t226 @t172 (@list @t175))) % 0.38/0.61 (step @p371 :rule cnf_or_pos :args (@t226)) % 0.38/0.61 (step @p372 :rule reordering :premises (@p371) :args ((or @t160 @t158 @t225 (not @t226)))) % 0.38/0.61 (step @p373 :rule chain_m_resolution :premises (@p372 @p227 @p256 @p370) :args (@t225 @t224 (@list @t159 @t157 @t226))) % 0.38/0.61 (step @p374 :rule cnf_or_pos :args (@t229)) % 0.38/0.61 (step @p375 :rule reordering :premises (@p374) :args ((or @t98 @t97 @t160 @t180 @t174 @t228 @t227 (not @t229)))) % 0.38/0.61 (step @p376 false :rule chain_m_resolution :premises (@p375 @p373 @p358 @p343 @p287 @p285 @p227 @p74 @p68) :args (false (@list false false false true false false false false) (@list @t225 @t222 @t229 @t174 @t179 @t159 @t96 @t84))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------