%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU220+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:51:00 AM UTC 2026 % Result : Theorem 1.32s 1.57s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU220+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n008.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 16:43:18 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.32/1.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.57 % SZS status Theorem % 1.32/1.57 % SZS output start Proof % 1.32/1.57 ( % 1.32/1.57 (declare-sort $$unsorted 0) % 1.32/1.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.function (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.empty_set $$unsorted) % 1.32/1.57 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.32/1.57 (define @t1 () (@var "A" $$unsorted)) % 1.32/1.57 (define @t2 () (@var "B" $$unsorted)) % 1.32/1.57 (define @t3 () (tptp.in @t1 @t2)) % 1.32/1.57 (define @t4 () (@list @t1 @t2)) % 1.32/1.57 (define @t5 () (tptp.function @t1)) % 1.32/1.57 (define @t6 () (tptp.empty @t1)) % 1.32/1.57 (define @t7 () (@list @t1)) % 1.32/1.57 (define @t8 () (tptp.relation @t1)) % 1.32/1.57 (define @t9 () (tptp.one_to_one @t1)) % 1.32/1.57 (define @t10 () (and @t8 @t5 @t9)) % 1.32/1.57 (define @t11 () (and @t8 @t6 @t5)) % 1.32/1.57 (define @t12 () (tptp.function_inverse @t1)) % 1.32/1.57 (define @t13 () (and (tptp.relation @t12) (tptp.function @t12))) % 1.32/1.57 (define @t14 () (and @t8 @t5)) % 1.32/1.57 (define @t15 () (forall @t7 (=> @t14 @t13))) % 1.32/1.57 (define @t16 () (tptp.relation_composition @t1 @t2)) % 1.32/1.57 (define @t17 () (tptp.relation @t16)) % 1.32/1.57 (define @t18 () (tptp.relation @t2)) % 1.32/1.57 (define @t19 () (@list @t2)) % 1.32/1.57 (define @t20 () (tptp.relation_composition @t2 @t1)) % 1.32/1.57 (define @t21 () (and @t6 @t18)) % 1.32/1.57 (define @t22 () (tptp.relation tptp.empty_set)) % 1.32/1.57 (define @t23 () (tptp.empty tptp.empty_set)) % 1.32/1.57 (define @t24 () (tptp.function @t2)) % 1.32/1.57 (define @t25 () (tptp.powerset @t1)) % 1.32/1.57 (define @t26 () (tptp.relation_dom @t1)) % 1.32/1.57 (define @t27 () (tptp.empty @t26)) % 1.32/1.57 (define @t28 () (not @t6)) % 1.32/1.57 (define @t29 () (and @t28 @t8)) % 1.32/1.57 (define @t30 () (tptp.relation_rng @t1)) % 1.32/1.57 (define @t31 () (tptp.empty @t30)) % 1.32/1.57 (define @t32 () (tptp.empty @t2)) % 1.32/1.57 (define @t33 () (tptp.element @t2 @t25)) % 1.32/1.57 (define @t34 () (tptp.element @t1 @t2)) % 1.32/1.57 (define @t35 () (tptp.apply @t2 @t1)) % 1.32/1.57 (define @t36 () (@var "C" $$unsorted)) % 1.32/1.57 (define @t37 () (= (tptp.apply (tptp.relation_composition @t2 @t36) @t1) (tptp.apply @t36 @t35))) % 1.32/1.57 (define @t38 () (tptp.relation_dom @t2)) % 1.32/1.57 (define @t39 () (tptp.in @t1 @t38)) % 1.32/1.57 (define @t40 () (=> @t39 @t37)) % 1.32/1.57 (define @t41 () (tptp.function @t36)) % 1.32/1.57 (define @t42 () (tptp.relation @t36)) % 1.32/1.57 (define @t43 () (and @t42 @t41)) % 1.32/1.57 (define @t44 () (@list @t36)) % 1.32/1.57 (define @t45 () (forall @t44 (=> @t43 @t40))) % 1.32/1.57 (define @t46 () (and @t18 @t24)) % 1.32/1.57 (define @t47 () (=> @t46 @t45)) % 1.32/1.57 (define @t48 () (forall @t4 @t47)) % 1.32/1.57 (define @t49 () (tptp.element @t2 (tptp.powerset @t36))) % 1.32/1.57 (define @t50 () (@list @t1 @t2 @t36)) % 1.32/1.57 (define @t51 () (@var "D" $$unsorted)) % 1.32/1.57 (define @t52 () (= @t51 (tptp.apply @t2 @t36))) % 1.32/1.57 (define @t53 () (tptp.in @t36 @t30)) % 1.32/1.57 (define @t54 () (and @t53 @t52)) % 1.32/1.57 (define @t55 () (= @t36 (tptp.apply @t1 @t51))) % 1.32/1.57 (define @t56 () (tptp.in @t51 @t26)) % 1.32/1.57 (define @t57 () (and @t56 @t55)) % 1.32/1.57 (define @t58 () (and (=> @t54 @t57) (=> @t57 @t54))) % 1.32/1.57 (define @t59 () (@list @t36 @t51)) % 1.32/1.57 (define @t60 () (forall @t59 @t58)) % 1.32/1.57 (define @t61 () (and (= @t38 @t30) @t60)) % 1.32/1.57 (define @t62 () (= @t2 @t12)) % 1.32/1.57 (define @t63 () (= @t62 @t61)) % 1.32/1.57 (define @t64 () (=> @t46 @t63)) % 1.32/1.57 (define @t65 () (forall @t19 @t64)) % 1.32/1.57 (define @t66 () (=> @t9 @t65)) % 1.32/1.57 (define @t67 () (=> @t14 @t66)) % 1.32/1.57 (define @t68 () (forall @t7 @t67)) % 1.32/1.57 (define @t69 () (and (= @t30 (tptp.relation_dom @t12)) (= @t26 (tptp.relation_rng @t12)))) % 1.32/1.57 (define @t70 () (=> @t9 @t69)) % 1.32/1.57 (define @t71 () (forall @t7 (=> @t14 @t70))) % 1.32/1.57 (define @t72 () (tptp.function_inverse @t2)) % 1.32/1.57 (define @t73 () (and (= @t1 (tptp.apply @t2 (tptp.apply @t72 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t72 @t2) @t1)))) % 1.32/1.57 (define @t74 () (tptp.in @t1 (tptp.relation_rng @t2))) % 1.32/1.57 (define @t75 () (tptp.one_to_one @t2)) % 1.32/1.57 (define @t76 () (and @t75 @t74)) % 1.32/1.57 (define @t77 () (=> @t76 @t73)) % 1.32/1.57 (define @t78 () (forall @t4 (=> @t46 @t77))) % 1.32/1.57 (define @t79 () (not @t78)) % 1.32/1.57 (define @t80 () (@var "BOUND_VARIABLE_7781" $$unsorted)) % 1.32/1.57 (define @t81 () (= (tptp.apply (tptp.relation_composition @t2 @t80) @t1) (tptp.apply @t80 @t35))) % 1.32/1.57 (define @t82 () (not (tptp.function @t80))) % 1.32/1.57 (define @t83 () (not (tptp.relation @t80))) % 1.32/1.57 (define @t84 () (not @t39)) % 1.32/1.57 (define @t85 () (not @t24)) % 1.32/1.57 (define @t86 () (not @t18)) % 1.32/1.57 (define @t87 () (or @t86 @t85 @t84 @t83 @t82 @t81)) % 1.32/1.57 (define @t88 () (or @t83 @t82 @t81)) % 1.32/1.57 (define @t89 () (or @t86 @t85 @t84 @t88)) % 1.32/1.57 (define @t90 () (@list @t1 @t2 @t80)) % 1.32/1.57 (define @t91 () (forall @t90 @t89)) % 1.32/1.57 (define @t92 () (@list @t80)) % 1.32/1.57 (define @t93 () (forall @t92 @t89)) % 1.32/1.57 (define @t94 () (forall @t92 @t88)) % 1.32/1.57 (define @t95 () (or @t86 @t85 @t84 @t94)) % 1.32/1.57 (define @t96 () (not @t41)) % 1.32/1.57 (define @t97 () (not @t42)) % 1.32/1.57 (define @t98 () (or @t97 @t96 @t37)) % 1.32/1.57 (define @t99 () (forall @t44 @t98)) % 1.32/1.57 (define @t100 () (or @t86 @t85 @t84 @t99)) % 1.32/1.57 (define @t101 () (or @t84 @t99)) % 1.32/1.57 (define @t102 () (or @t86 @t85)) % 1.32/1.57 (define @t103 () (not @t46)) % 1.32/1.57 (define @t104 () (or @t84 @t98)) % 1.32/1.57 (define @t105 () (or @t97 @t96 @t84 @t37)) % 1.32/1.57 (define @t106 () (not @t74)) % 1.32/1.57 (define @t107 () (not @t75)) % 1.32/1.57 (define @t108 () (or @t86 @t85 @t107 @t106 @t73)) % 1.32/1.57 (define @t109 () (forall @t4 @t108)) % 1.32/1.57 (define @t110 () (@quantifiers_skolemize @t109 0)) % 1.32/1.57 (define @t111 () (@quantifiers_skolemize @t109 1)) % 1.32/1.57 (define @t112 () (tptp.function_inverse @t111)) % 1.32/1.57 (define @t113 () (tptp.apply (tptp.relation_composition @t112 @t111) @t110)) % 1.32/1.57 (define @t114 () (tptp.apply @t112 @t110)) % 1.32/1.57 (define @t115 () (tptp.apply @t111 @t114)) % 1.32/1.57 (define @t116 () (tptp.function @t111)) % 1.32/1.57 (define @t117 () (not @t116)) % 1.32/1.57 (define @t118 () (tptp.relation @t111)) % 1.32/1.57 (define @t119 () (not @t118)) % 1.32/1.57 (define @t120 () (tptp.relation_dom @t112)) % 1.32/1.57 (define @t121 () (tptp.in @t110 @t120)) % 1.32/1.57 (define @t122 () (not @t121)) % 1.32/1.57 (define @t123 () (tptp.function @t112)) % 1.32/1.57 (define @t124 () (not @t123)) % 1.32/1.57 (define @t125 () (tptp.relation @t112)) % 1.32/1.57 (define @t126 () (not @t125)) % 1.32/1.57 (define @t127 () (or @t126 @t124 @t122 @t119 @t117 (= @t113 @t115))) % 1.32/1.57 (define @t128 () (forall @t90 @t87)) % 1.32/1.57 (define @t129 () (= @t115 @t113)) % 1.32/1.57 (define @t130 () (or @t126 @t124 @t122 @t119 @t117 @t129)) % 1.32/1.57 (define @t131 () (@list false)) % 1.32/1.57 (define @t132 () (or @t107 @t106 @t73)) % 1.32/1.57 (define @t133 () (tptp.relation_rng @t111)) % 1.32/1.57 (define @t134 () (tptp.in @t110 @t133)) % 1.32/1.57 (define @t135 () (= @t110 @t113)) % 1.32/1.57 (define @t136 () (= @t110 @t115)) % 1.32/1.57 (define @t137 () (and @t136 @t135)) % 1.32/1.57 (define @t138 () (not @t134)) % 1.32/1.57 (define @t139 () (tptp.one_to_one @t111)) % 1.32/1.57 (define @t140 () (not @t139)) % 1.32/1.57 (define @t141 () (or @t119 @t117 @t140 @t138 @t137)) % 1.32/1.57 (define @t142 () (@list true)) % 1.32/1.57 (define @t143 () (@list @t141)) % 1.32/1.57 (define @t144 () (not @t9)) % 1.32/1.57 (define @t145 () (not @t5)) % 1.32/1.57 (define @t146 () (not @t8)) % 1.32/1.57 (define @t147 () (or @t146 @t145)) % 1.32/1.57 (define @t148 () (not @t14)) % 1.32/1.57 (define @t149 () (@list @t111)) % 1.32/1.57 (define @t150 () (tptp.relation_dom @t111)) % 1.32/1.57 (define @t151 () (= @t133 @t120)) % 1.32/1.57 (define @t152 () (and @t151 (= @t150 (tptp.relation_rng @t112)))) % 1.32/1.57 (define @t153 () (or @t119 @t117 @t140 @t152)) % 1.32/1.57 (define @t154 () (and @t125 @t123)) % 1.32/1.57 (define @t155 () (or @t119 @t117 @t154)) % 1.32/1.57 (define @t156 () (not @t154)) % 1.32/1.57 (define @t157 () (@list @t154)) % 1.32/1.57 (define @t158 () (@list false false false false false false)) % 1.32/1.57 (define @t159 () (@var "BOUND_VARIABLE_7892" $$unsorted)) % 1.32/1.57 (define @t160 () (= @t12 @t159)) % 1.32/1.57 (define @t161 () (@var "BOUND_VARIABLE_7839" $$unsorted)) % 1.32/1.57 (define @t162 () (tptp.apply @t1 @t161)) % 1.32/1.57 (define @t163 () (tptp.in @t162 @t30)) % 1.32/1.57 (define @t164 () (not (tptp.in @t161 @t26))) % 1.32/1.57 (define @t165 () (@list @t161)) % 1.32/1.57 (define @t166 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 1.32/1.57 (define @t167 () (tptp.apply @t159 @t166)) % 1.32/1.57 (define @t168 () (not (tptp.in @t166 @t30))) % 1.32/1.57 (define @t169 () (@list @t166)) % 1.32/1.57 (define @t170 () (and (= @t30 (tptp.relation_dom @t159)) (forall @t169 (or @t168 (and (tptp.in @t167 @t26) (= @t166 (tptp.apply @t1 @t167))))) (forall @t165 (or @t164 (and @t163 (= @t161 (tptp.apply @t159 @t162))))))) % 1.32/1.57 (define @t171 () (= (= @t159 @t12) @t170)) % 1.32/1.57 (define @t172 () (not (tptp.function @t159))) % 1.32/1.57 (define @t173 () (not (tptp.relation @t159))) % 1.32/1.57 (define @t174 () (or @t146 @t145 @t144 @t173 @t172 @t171)) % 1.32/1.57 (define @t175 () (or @t173 @t172 @t171)) % 1.32/1.57 (define @t176 () (or @t146 @t145 @t144 @t175)) % 1.32/1.57 (define @t177 () (@list @t1 @t159)) % 1.32/1.57 (define @t178 () (forall @t177 @t176)) % 1.32/1.57 (define @t179 () (@list @t159)) % 1.32/1.57 (define @t180 () (forall @t179 @t176)) % 1.32/1.57 (define @t181 () (forall @t179 @t175)) % 1.32/1.57 (define @t182 () (or @t146 @t145 @t144 @t181)) % 1.32/1.57 (define @t183 () (and @t163 (= @t161 (tptp.apply @t2 @t162)))) % 1.32/1.57 (define @t184 () (or @t164 @t183)) % 1.32/1.57 (define @t185 () (forall @t165 @t184)) % 1.32/1.57 (define @t186 () (tptp.apply @t2 @t166)) % 1.32/1.57 (define @t187 () (and (tptp.in @t186 @t26) (= @t166 (tptp.apply @t1 @t186)))) % 1.32/1.57 (define @t188 () (or @t168 @t187)) % 1.32/1.57 (define @t189 () (forall @t169 @t188)) % 1.32/1.57 (define @t190 () (= @t30 @t38)) % 1.32/1.57 (define @t191 () (and @t190 @t189 @t185)) % 1.32/1.57 (define @t192 () (= @t62 @t191)) % 1.32/1.57 (define @t193 () (or @t86 @t85 @t192)) % 1.32/1.57 (define @t194 () (forall @t19 @t193)) % 1.32/1.57 (define @t195 () (or @t146 @t145 @t144 @t194)) % 1.32/1.57 (define @t196 () (=> @t9 @t194)) % 1.32/1.57 (define @t197 () (not (= @t162 @t162))) % 1.32/1.57 (define @t198 () (or @t164 @t197 @t183)) % 1.32/1.57 (define @t199 () (@var "BOUND_VARIABLE_7837" $$unsorted)) % 1.32/1.57 (define @t200 () (and (tptp.in @t199 @t30) (= @t161 (tptp.apply @t2 @t199)))) % 1.32/1.57 (define @t201 () (not (= @t199 @t162))) % 1.32/1.57 (define @t202 () (or @t201 @t164 @t201 @t200)) % 1.32/1.57 (define @t203 () (@list @t199)) % 1.32/1.57 (define @t204 () (or @t164 @t201 @t200)) % 1.32/1.57 (define @t205 () (forall @t203 @t204)) % 1.32/1.57 (define @t206 () (forall @t165 @t205)) % 1.32/1.57 (define @t207 () (forall (@list @t161 @t199) @t204)) % 1.32/1.57 (define @t208 () (forall (@list @t199 @t161) @t204)) % 1.32/1.57 (define @t209 () (not (= @t186 @t186))) % 1.32/1.57 (define @t210 () (or @t168 @t209 @t187)) % 1.32/1.57 (define @t211 () (@var "BOUND_VARIABLE_7823" $$unsorted)) % 1.32/1.57 (define @t212 () (and (tptp.in @t211 @t26) (= @t166 (tptp.apply @t1 @t211)))) % 1.32/1.57 (define @t213 () (not (= @t211 @t186))) % 1.32/1.57 (define @t214 () (or @t213 @t168 @t213 @t212)) % 1.32/1.57 (define @t215 () (@list @t211)) % 1.32/1.57 (define @t216 () (or @t168 @t213 @t212)) % 1.32/1.57 (define @t217 () (forall @t215 @t216)) % 1.32/1.57 (define @t218 () (forall @t169 @t217)) % 1.32/1.57 (define @t219 () (forall (@list @t166 @t211) @t216)) % 1.32/1.57 (define @t220 () (not @t55)) % 1.32/1.57 (define @t221 () (not @t56)) % 1.32/1.57 (define @t222 () (or @t221 @t220 @t54)) % 1.32/1.57 (define @t223 () (forall @t59 @t222)) % 1.32/1.57 (define @t224 () (@list @t36 @t51)) % 1.32/1.57 (define @t225 () (not @t52)) % 1.32/1.57 (define @t226 () (not @t53)) % 1.32/1.57 (define @t227 () (or @t226 @t225 @t57)) % 1.32/1.57 (define @t228 () (forall @t59 @t227)) % 1.32/1.57 (define @t229 () (and @t228 @t223)) % 1.32/1.57 (define @t230 () (tptp.apply @t111 @t161)) % 1.32/1.57 (define @t231 () (tptp.apply @t112 @t166)) % 1.32/1.57 (define @t232 () (forall @t169 (or (not (tptp.in @t166 @t133)) (and (tptp.in @t231 @t150) (= @t166 (tptp.apply @t111 @t231)))))) % 1.32/1.57 (define @t233 () (and @t151 @t232 (forall @t165 (or (not (tptp.in @t161 @t150)) (and (tptp.in @t230 @t133) (= @t161 (tptp.apply @t112 @t230))))))) % 1.32/1.57 (define @t234 () (= @t112 @t112)) % 1.32/1.57 (define @t235 () (or @t119 @t117 @t140 @t126 @t124 (= @t233 @t234))) % 1.32/1.57 (define @t236 () (forall @t177 (or @t146 @t145 @t144 @t173 @t172 (= @t170 @t160)))) % 1.32/1.57 (define @t237 () (or @t119 @t117 @t140 @t126 @t124 @t233)) % 1.32/1.57 (define @t238 () (and (tptp.in @t114 @t150) @t136)) % 1.32/1.57 (define @t239 () (or @t138 @t238)) % 1.32/1.57 (define @t240 () (and @t136 @t129)) % 1.32/1.57 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 1.32/1.57 (assume @p2 (forall @t7 (=> @t6 @t5))) % 1.32/1.57 (assume @p3 (forall @t7 (=> @t6 @t8))) % 1.32/1.57 (assume @p4 (forall @t7 (=> @t11 @t10))) % 1.32/1.57 (assume @p5 @t15) % 1.32/1.57 (assume @p6 (forall @t4 (=> (and @t8 @t18) @t17))) % 1.32/1.57 (assume @p7 (forall @t7 (exists @t19 (tptp.element @t2 @t1)))) % 1.32/1.57 (assume @p8 (forall @t4 (=> @t21 (and (tptp.empty @t20) (tptp.relation @t20))))) % 1.32/1.57 (assume @p9 (and @t23 @t22 (tptp.relation_empty_yielding tptp.empty_set))) % 1.32/1.57 (assume @p10 (forall @t4 (=> (and @t8 @t5 @t18 @t24) (and @t17 (tptp.function @t16))))) % 1.32/1.57 (assume @p11 (forall @t7 (not (tptp.empty @t25)))) % 1.32/1.57 (assume @p12 @t23) % 1.32/1.57 (assume @p13 (and @t23 @t22)) % 1.32/1.57 (assume @p14 (forall @t7 (=> @t29 (not @t27)))) % 1.32/1.57 (assume @p15 (forall @t7 (=> @t29 (not @t31)))) % 1.32/1.57 (assume @p16 (forall @t7 (=> @t6 (and @t27 (tptp.relation @t26))))) % 1.32/1.57 (assume @p17 (forall @t7 (=> @t6 (and @t31 (tptp.relation @t30))))) % 1.32/1.57 (assume @p18 (forall @t4 (=> @t21 (and (tptp.empty @t16) @t17)))) % 1.32/1.57 (assume @p19 (exists @t7 @t14)) % 1.32/1.57 (assume @p20 (exists @t7 (and @t6 @t8))) % 1.32/1.57 (assume @p21 (forall @t7 (=> @t28 (exists @t19 (and @t33 (not @t32)))))) % 1.32/1.57 (assume @p22 (exists @t7 @t6)) % 1.32/1.57 (assume @p23 (exists @t7 @t11)) % 1.32/1.57 (assume @p24 (exists @t7 @t29)) % 1.32/1.57 (assume @p25 (forall @t7 (exists @t19 (and @t33 @t32)))) % 1.32/1.57 (assume @p26 (exists @t7 @t28)) % 1.32/1.57 (assume @p27 (exists @t7 @t10)) % 1.32/1.57 (assume @p28 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 1.32/1.57 (assume @p29 (forall @t4 (tptp.subset @t1 @t1))) % 1.32/1.57 (assume @p30 (forall @t4 (=> @t3 @t34))) % 1.32/1.57 (assume @p31 @t48) % 1.32/1.57 (assume @p32 (forall @t4 (=> @t34 (or @t32 @t3)))) % 1.32/1.57 (assume @p33 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 1.32/1.57 (assume @p34 (forall @t50 (=> (and @t3 @t49) (tptp.element @t1 @t36)))) % 1.32/1.57 (assume @p35 @t68) % 1.32/1.57 (assume @p36 @t71) % 1.32/1.57 (assume @p37 @t79) % 1.32/1.57 (assume @p38 (forall @t50 (not (and @t3 @t49 (tptp.empty @t36))))) % 1.32/1.57 (assume @p39 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 1.32/1.57 (assume @p40 (forall @t4 (not (and @t3 @t32)))) % 1.32/1.57 (assume @p41 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t32)))) % 1.32/1.57 (assume @p42 true) % 1.32/1.57 (step @p43 :rule aci_norm :args ((= @t89 @t87))) % 1.32/1.57 (step @p44 :rule cong :premises (@p43) :args (@t91)) % 1.32/1.57 (step @p45 :rule quant-merge-prenex :args ((= (forall @t4 @t93) @t91))) % 1.32/1.57 (step @p46 :rule alpha_equiv :args (@t94 (@list @t80) (@list @t36))) % 1.32/1.57 (step @p47 :rule refl :args (@t84)) % 1.32/1.57 (step @p48 :rule refl :args (@t85)) % 1.32/1.57 (step @p49 :rule refl :args (@t86)) % 1.32/1.57 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p46) :args (@t95)) % 1.32/1.57 (step @p51 :rule quant-miniscope-or :args ((= @t93 @t95))) % 1.32/1.57 (step @p52 :rule trans :premises (@p51 @p50)) % 1.32/1.57 (step @p53 :rule symm :premises (@p52)) % 1.32/1.57 (step @p54 :rule cong :premises (@p53) :args ((forall @t4 @t100))) % 1.32/1.57 (step @p55 :rule trans :premises (@p54 @p45)) % 1.32/1.57 (step @p56 :rule trans :premises (@p55 @p44)) % 1.32/1.57 (step @p57 :rule aci_norm :args ((= (or @t102 @t101) @t100))) % 1.32/1.57 (step @p58 :rule refl :args (@t101)) % 1.32/1.57 (step @p59 :rule bool-and-de-morgan :args (@t18 @t24 true)) % 1.32/1.57 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t103 @t101))) % 1.32/1.57 (step @p61 :rule trans :premises (@p60 @p57)) % 1.32/1.57 (step @p62 :rule bool-impl-elim :args (@t46 @t101)) % 1.32/1.57 (step @p63 :rule trans :premises (@p62 @p61)) % 1.32/1.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t4 (=> @t46 @t101)))) % 1.32/1.57 (step @p65 :rule trans :premises (@p64 @p56)) % 1.32/1.57 (step @p66 :rule quant-miniscope-or :args ((= (forall @t44 @t104) @t101))) % 1.32/1.57 (step @p67 :rule aci_norm :args ((= @t105 @t104))) % 1.32/1.57 (step @p68 :rule cong :premises (@p67) :args ((forall @t44 @t105))) % 1.32/1.57 (step @p69 :rule trans :premises (@p68 @p66)) % 1.32/1.57 (step @p70 :rule aci_norm :args ((= (or (or @t97 @t96) (or @t84 @t37)) @t105))) % 1.32/1.57 (step @p71 :rule bool-impl-elim :args (@t39 @t37)) % 1.32/1.57 (step @p72 :rule bool-and-de-morgan :args (@t42 @t41 true)) % 1.32/1.57 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or (not @t43) @t40))) % 1.32/1.57 (step @p74 :rule trans :premises (@p73 @p70)) % 1.32/1.57 (step @p75 :rule bool-impl-elim :args (@t43 @t40)) % 1.32/1.57 (step @p76 :rule trans :premises (@p75 @p74)) % 1.32/1.57 (step @p77 :rule cong :premises (@p76) :args (@t45)) % 1.32/1.57 (step @p78 :rule trans :premises (@p77 @p69)) % 1.32/1.57 (step @p79 :rule refl :args (@t46)) % 1.32/1.57 (step @p80 :rule cong :premises (@p79 @p78) :args (@t47)) % 1.32/1.57 (step @p81 :rule cong :premises (@p80) :args (@t48)) % 1.32/1.57 (step @p82 :rule trans :premises (@p81 @p65)) % 1.32/1.57 (step @p83 :rule eq_resolve :premises (@p31 @p82)) % 1.32/1.57 (step @p84 :rule eq-symm :args (@t113 @t115)) % 1.32/1.57 (step @p85 :rule refl :args (@t117)) % 1.32/1.57 (step @p86 :rule refl :args (@t119)) % 1.32/1.57 (step @p87 :rule refl :args (@t122)) % 1.32/1.57 (step @p88 :rule refl :args (@t124)) % 1.32/1.57 (step @p89 :rule refl :args (@t126)) % 1.32/1.57 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87 @p86 @p85 @p84) :args (@t127)) % 1.32/1.57 (step @p91 :rule refl :args (@t128)) % 1.32/1.57 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t128 @t127))) % 1.32/1.57 (assume-push @p351 @t128) % 1.32/1.57 (step @p94 :rule instantiate :premises (@p83) :args ((@list @t110 @t112 @t111))) % 1.32/1.57 (step-pop @p352 :rule scope :premises (@p94)) % 1.32/1.57 (step @p95 :rule process_scope :premises (@p352) :args (@t127)) % 1.32/1.57 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 1.32/1.57 (step @p98 :rule implies_elim :premises (@p97)) % 1.32/1.57 (step @p99 :rule chain_m_resolution :premises (@p98 @p83) :args (@t130 @t131 (@list @t128))) % 1.32/1.57 (step @p100 :rule aci_norm :args ((= (or @t102 @t132) @t108))) % 1.32/1.57 (step @p101 :rule aci_norm :args ((= (or (or @t107 @t106) @t73) @t132))) % 1.32/1.57 (step @p102 :rule refl :args (@t73)) % 1.32/1.57 (step @p103 :rule bool-and-de-morgan :args (@t75 @t74 true)) % 1.32/1.57 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t76) @t73))) % 1.32/1.57 (step @p105 :rule trans :premises (@p104 @p101)) % 1.32/1.57 (step @p106 :rule bool-impl-elim :args (@t76 @t73)) % 1.32/1.57 (step @p107 :rule trans :premises (@p106 @p105)) % 1.32/1.57 (step @p108 :rule nary_cong :premises (@p59 @p107) :args ((or @t103 @t77))) % 1.32/1.57 (step @p109 :rule trans :premises (@p108 @p100)) % 1.32/1.57 (step @p110 :rule bool-impl-elim :args (@t46 @t77)) % 1.32/1.57 (step @p111 :rule trans :premises (@p110 @p109)) % 1.32/1.57 (step @p112 :rule cong :premises (@p111) :args (@t78)) % 1.32/1.57 (step @p113 :rule cong :premises (@p112) :args (@t79)) % 1.32/1.57 (step @p114 :rule eq_resolve :premises (@p37 @p113)) % 1.32/1.57 (step @p115 :rule skolemize :premises (@p114)) % 1.32/1.57 (step @p116 :rule bool-double-not-elim :args (@t134)) % 1.32/1.57 (step @p117 :rule refl :args (@t141)) % 1.32/1.57 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t141 (not @t138)))) % 1.32/1.57 (step @p119 :rule cnf_or_neg :args (@t141 3)) % 1.32/1.57 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 1.32/1.57 (step @p121 :rule reordering :premises (@p120) :args ((or @t134 @t141))) % 1.32/1.57 (step @p122 :rule chain_m_resolution :premises (@p121 @p115) :args (@t134 @t142 @t143)) % 1.32/1.57 (step @p123 :rule true_intro :premises (@p122)) % 1.32/1.57 (step @p124 :rule aci_norm :args ((= (or @t147 (or @t144 @t69)) (or @t146 @t145 @t144 @t69)))) % 1.32/1.57 (step @p125 :rule bool-impl-elim :args (@t9 @t69)) % 1.32/1.57 (step @p126 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 1.32/1.57 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t148 @t70))) % 1.32/1.57 (step @p128 :rule trans :premises (@p127 @p124)) % 1.32/1.57 (step @p129 :rule bool-impl-elim :args (@t14 @t70)) % 1.32/1.57 (step @p130 :rule trans :premises (@p129 @p128)) % 1.32/1.57 (step @p131 :rule cong :premises (@p130) :args (@t71)) % 1.32/1.57 (step @p132 :rule eq_resolve :premises (@p36 @p131)) % 1.32/1.57 (step @p133 :rule instantiate :premises (@p132) :args (@t149)) % 1.32/1.57 (step @p134 :rule bool-double-not-elim :args (@t139)) % 1.32/1.57 (step @p135 :rule nary_cong :premises (@p117 @p134) :args ((or @t141 (not @t140)))) % 1.32/1.57 (step @p136 :rule cnf_or_neg :args (@t141 2)) % 1.32/1.57 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 1.32/1.57 (step @p138 :rule reordering :premises (@p137) :args ((or @t139 @t141))) % 1.32/1.57 (step @p139 :rule chain_m_resolution :premises (@p138 @p115) :args (@t139 @t142 @t143)) % 1.32/1.57 (step @p140 :rule bool-double-not-elim :args (@t116)) % 1.32/1.57 (step @p141 :rule nary_cong :premises (@p117 @p140) :args ((or @t141 (not @t117)))) % 1.32/1.57 (step @p142 :rule cnf_or_neg :args (@t141 1)) % 1.32/1.57 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 1.32/1.57 (step @p144 :rule reordering :premises (@p143) :args ((or @t116 @t141))) % 1.32/1.57 (step @p145 :rule chain_m_resolution :premises (@p144 @p115) :args (@t116 @t142 @t143)) % 1.32/1.57 (step @p146 :rule bool-double-not-elim :args (@t118)) % 1.32/1.57 (step @p147 :rule nary_cong :premises (@p117 @p146) :args ((or @t141 (not @t119)))) % 1.32/1.57 (step @p148 :rule cnf_or_neg :args (@t141 0)) % 1.32/1.57 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 1.32/1.57 (step @p150 :rule reordering :premises (@p149) :args ((or @t118 @t141))) % 1.32/1.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p115) :args (@t118 @t142 @t143)) % 1.32/1.57 (step @p152 :rule cnf_or_pos :args (@t153)) % 1.32/1.57 (step @p153 :rule reordering :premises (@p152) :args ((or @t119 @t117 @t140 @t152 (not @t153)))) % 1.32/1.57 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p145 @p139 @p133) :args (@t152 (@list false false false false) (@list @t118 @t116 @t139 @t153))) % 1.32/1.57 (step @p155 :rule cnf_and_pos :args (@t152 0)) % 1.32/1.57 (step @p156 :rule reordering :premises (@p155) :args ((or @t151 (not @t152)))) % 1.32/1.57 (step @p157 :rule chain_m_resolution :premises (@p156 @p154) :args (@t151 @t131 (@list @t152))) % 1.32/1.57 (step @p158 :rule symm :premises (@p157)) % 1.32/1.57 (step @p159 :rule refl :args (@t110)) % 1.32/1.57 (step @p160 :rule cong :premises (@p159 @p158) :args (@t121)) % 1.32/1.57 (step @p161 :rule trans :premises (@p160 @p123)) % 1.32/1.57 (step @p162 :rule true_elim :premises (@p161)) % 1.32/1.57 (step @p163 :rule aci_norm :args ((= (or @t147 @t13) (or @t146 @t145 @t13)))) % 1.32/1.57 (step @p164 :rule refl :args (@t13)) % 1.32/1.57 (step @p165 :rule nary_cong :premises (@p126 @p164) :args ((or @t148 @t13))) % 1.32/1.57 (step @p166 :rule trans :premises (@p165 @p163)) % 1.32/1.57 (step @p167 :rule bool-impl-elim :args (@t14 @t13)) % 1.32/1.57 (step @p168 :rule trans :premises (@p167 @p166)) % 1.32/1.57 (step @p169 :rule cong :premises (@p168) :args (@t15)) % 1.32/1.57 (step @p170 :rule eq_resolve :premises (@p5 @p169)) % 1.32/1.57 (step @p171 :rule instantiate :premises (@p170) :args (@t149)) % 1.32/1.57 (step @p172 :rule cnf_or_pos :args (@t155)) % 1.32/1.57 (step @p173 :rule reordering :premises (@p172) :args ((or @t119 @t117 @t154 (not @t155)))) % 1.32/1.57 (step @p174 :rule chain_m_resolution :premises (@p173 @p151 @p145 @p171) :args (@t154 (@list false false false) (@list @t118 @t116 @t155))) % 1.32/1.57 (step @p175 :rule cnf_and_pos :args (@t154 1)) % 1.32/1.57 (step @p176 :rule reordering :premises (@p175) :args ((or @t123 @t156))) % 1.32/1.57 (step @p177 :rule chain_m_resolution :premises (@p176 @p174) :args (@t123 @t131 @t157)) % 1.32/1.57 (step @p178 :rule cnf_and_pos :args (@t154 0)) % 1.32/1.57 (step @p179 :rule reordering :premises (@p178) :args ((or @t125 @t156))) % 1.32/1.57 (step @p180 :rule chain_m_resolution :premises (@p179 @p174) :args (@t125 @t131 @t157)) % 1.32/1.57 (step @p181 :rule cnf_or_pos :args (@t130)) % 1.32/1.57 (step @p182 :rule reordering :premises (@p181) :args ((or @t119 @t117 @t126 @t124 @t122 @t129 (not @t130)))) % 1.32/1.57 (step @p183 :rule chain_m_resolution :premises (@p182 @p151 @p145 @p180 @p177 @p162 @p99) :args (@t129 @t158 (@list @t118 @t116 @t125 @t123 @t121 @t130))) % 1.32/1.57 (step @p184 :rule eq-symm :args (@t160 @t170)) % 1.32/1.57 (step @p185 :rule refl :args (@t170)) % 1.32/1.57 (step @p186 :rule eq-symm :args (@t159 @t12)) % 1.32/1.57 (step @p187 :rule cong :premises (@p186 @p185) :args (@t171)) % 1.32/1.57 (step @p188 :rule trans :premises (@p187 @p184)) % 1.32/1.57 (step @p189 :rule refl :args (@t172)) % 1.32/1.57 (step @p190 :rule refl :args (@t173)) % 1.32/1.57 (step @p191 :rule refl :args (@t144)) % 1.32/1.57 (step @p192 :rule refl :args (@t145)) % 1.32/1.57 (step @p193 :rule refl :args (@t146)) % 1.32/1.57 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190 @p189 @p188) :args (@t174)) % 1.32/1.57 (step @p195 :rule aci_norm :args ((= @t176 @t174))) % 1.32/1.57 (step @p196 :rule trans :premises (@p195 @p194)) % 1.32/1.57 (step @p197 :rule cong :premises (@p196) :args (@t178)) % 1.32/1.57 (step @p198 :rule quant-merge-prenex :args ((= (forall @t7 @t180) @t178))) % 1.32/1.57 (step @p199 :rule alpha_equiv :args (@t181 (@list @t159) (@list @t2))) % 1.32/1.57 (step @p200 :rule refl :args (@t144)) % 1.32/1.57 (step @p201 :rule refl :args (@t145)) % 1.32/1.57 (step @p202 :rule refl :args (@t146)) % 1.32/1.57 (step @p203 :rule nary_cong :premises (@p202 @p201 @p200 @p199) :args (@t182)) % 1.32/1.57 (step @p204 :rule quant-miniscope-or :args ((= @t180 @t182))) % 1.32/1.57 (step @p205 :rule trans :premises (@p204 @p203)) % 1.32/1.57 (step @p206 :rule symm :premises (@p205)) % 1.32/1.57 (step @p207 :rule cong :premises (@p206) :args ((forall @t7 @t195))) % 1.32/1.57 (step @p208 :rule trans :premises (@p207 @p198)) % 1.32/1.57 (step @p209 :rule trans :premises (@p208 @p197)) % 1.32/1.57 (step @p210 :rule aci_norm :args ((= (or @t147 (or @t144 @t194)) @t195))) % 1.32/1.57 (step @p211 :rule bool-impl-elim :args (@t9 @t194)) % 1.32/1.57 (step @p212 :rule nary_cong :premises (@p126 @p211) :args ((or @t148 @t196))) % 1.32/1.57 (step @p213 :rule trans :premises (@p212 @p210)) % 1.32/1.57 (step @p214 :rule bool-impl-elim :args (@t14 @t196)) % 1.32/1.57 (step @p215 :rule trans :premises (@p214 @p213)) % 1.32/1.57 (step @p216 :rule cong :premises (@p215) :args ((forall @t7 (=> @t14 @t196)))) % 1.32/1.57 (step @p217 :rule trans :premises (@p216 @p209)) % 1.32/1.57 (step @p218 :rule aci_norm :args ((= (or @t102 @t192) @t193))) % 1.32/1.57 (step @p219 :rule refl :args (@t192)) % 1.32/1.57 (step @p220 :rule nary_cong :premises (@p59 @p219) :args ((or @t103 @t192))) % 1.32/1.57 (step @p221 :rule trans :premises (@p220 @p218)) % 1.32/1.57 (step @p222 :rule bool-impl-elim :args (@t46 @t192)) % 1.32/1.57 (step @p223 :rule trans :premises (@p222 @p221)) % 1.32/1.57 (step @p224 :rule cong :premises (@p223) :args ((forall @t19 (=> @t46 @t192)))) % 1.32/1.57 (step @p225 :rule aci_norm :args ((= (and @t190 (and @t189 @t185)) @t191))) % 1.32/1.57 (step @p226 :rule aci_norm :args ((= (or @t164 false @t183) @t184))) % 1.32/1.57 (step @p227 :rule refl :args (@t183)) % 1.32/1.57 (step @p228 :rule evaluate :args ((not true))) % 1.32/1.57 (step @p229 :rule eq-refl :args (@t162)) % 1.32/1.57 (step @p230 :rule cong :premises (@p229) :args (@t197)) % 1.32/1.57 (step @p231 :rule trans :premises (@p230 @p228)) % 1.32/1.57 (step @p232 :rule refl :args (@t164)) % 1.32/1.57 (step @p233 :rule nary_cong :premises (@p232 @p231 @p227) :args (@t198)) % 1.32/1.57 (step @p234 :rule trans :premises (@p233 @p226)) % 1.32/1.57 (step @p235 :rule cong :premises (@p234) :args ((forall @t165 @t198))) % 1.32/1.57 (step @p236 :rule quant-var-elim-eq :args ((= (forall @t203 @t202) @t198))) % 1.32/1.57 (step @p237 :rule aci_norm :args ((= @t204 @t202))) % 1.32/1.57 (step @p238 :rule cong :premises (@p237) :args (@t205)) % 1.32/1.57 (step @p239 :rule trans :premises (@p238 @p236)) % 1.32/1.57 (step @p240 :rule cong :premises (@p239) :args (@t206)) % 1.32/1.57 (step @p241 :rule quant-merge-prenex :args ((= @t206 @t207))) % 1.32/1.57 (step @p242 :rule symm :premises (@p241)) % 1.32/1.57 (step @p243 :rule quant_var_reordering :args ((= @t208 @t207))) % 1.32/1.57 (step @p244 :rule trans :premises (@p243 @p242 @p240)) % 1.32/1.57 (step @p245 :rule trans :premises (@p244 @p235)) % 1.32/1.57 (step @p246 :rule aci_norm :args ((= (or @t168 false @t187) @t188))) % 1.32/1.57 (step @p247 :rule refl :args (@t187)) % 1.32/1.57 (step @p248 :rule eq-refl :args (@t186)) % 1.32/1.57 (step @p249 :rule cong :premises (@p248) :args (@t209)) % 1.32/1.57 (step @p250 :rule trans :premises (@p249 @p228)) % 1.32/1.57 (step @p251 :rule refl :args (@t168)) % 1.32/1.57 (step @p252 :rule nary_cong :premises (@p251 @p250 @p247) :args (@t210)) % 1.32/1.57 (step @p253 :rule trans :premises (@p252 @p246)) % 1.32/1.57 (step @p254 :rule cong :premises (@p253) :args ((forall @t169 @t210))) % 1.32/1.57 (step @p255 :rule quant-var-elim-eq :args ((= (forall @t215 @t214) @t210))) % 1.32/1.57 (step @p256 :rule aci_norm :args ((= @t216 @t214))) % 1.32/1.57 (step @p257 :rule cong :premises (@p256) :args (@t217)) % 1.32/1.57 (step @p258 :rule trans :premises (@p257 @p255)) % 1.32/1.57 (step @p259 :rule cong :premises (@p258) :args (@t218)) % 1.32/1.57 (step @p260 :rule quant-merge-prenex :args ((= @t218 @t219))) % 1.32/1.57 (step @p261 :rule symm :premises (@p260)) % 1.32/1.57 (step @p262 :rule trans :premises (@p261 @p259)) % 1.32/1.57 (step @p263 :rule trans :premises (@p262 @p254)) % 1.32/1.57 (step @p264 :rule nary_cong :premises (@p263 @p245) :args ((and @t219 @t208))) % 1.32/1.57 (step @p265 :rule alpha_equiv :args (@t223 @t224 (@list @t199 @t161))) % 1.32/1.57 (step @p266 :rule alpha_equiv :args (@t228 @t224 (@list @t166 @t211))) % 1.32/1.57 (step @p267 :rule nary_cong :premises (@p266 @p265) :args (@t229)) % 1.32/1.57 (step @p268 :rule quant-miniscope-and :args ((= (forall @t59 (and @t227 @t222)) @t229))) % 1.32/1.57 (step @p269 :rule trans :premises (@p268 @p267)) % 1.32/1.57 (step @p270 :rule trans :premises (@p269 @p264)) % 1.32/1.57 (step @p271 :rule aci_norm :args ((= (or (or @t221 @t220) @t54) @t222))) % 1.32/1.57 (step @p272 :rule refl :args (@t54)) % 1.32/1.57 (step @p273 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 1.32/1.57 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or (not @t57) @t54))) % 1.32/1.57 (step @p275 :rule trans :premises (@p274 @p271)) % 1.32/1.57 (step @p276 :rule bool-impl-elim :args (@t57 @t54)) % 1.32/1.57 (step @p277 :rule trans :premises (@p276 @p275)) % 1.32/1.57 (step @p278 :rule aci_norm :args ((= (or (or @t226 @t225) @t57) @t227))) % 1.32/1.57 (step @p279 :rule refl :args (@t57)) % 1.32/1.57 (step @p280 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 1.32/1.57 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or (not @t54) @t57))) % 1.32/1.57 (step @p282 :rule trans :premises (@p281 @p278)) % 1.32/1.57 (step @p283 :rule bool-impl-elim :args (@t54 @t57)) % 1.32/1.57 (step @p284 :rule trans :premises (@p283 @p282)) % 1.32/1.57 (step @p285 :rule nary_cong :premises (@p284 @p277) :args (@t58)) % 1.32/1.57 (step @p286 :rule cong :premises (@p285) :args (@t60)) % 1.32/1.57 (step @p287 :rule trans :premises (@p286 @p270)) % 1.32/1.57 (step @p288 :rule eq-symm :args (@t38 @t30)) % 1.32/1.57 (step @p289 :rule nary_cong :premises (@p288 @p287) :args (@t61)) % 1.32/1.57 (step @p290 :rule trans :premises (@p289 @p225)) % 1.32/1.57 (step @p291 :rule refl :args (@t62)) % 1.32/1.57 (step @p292 :rule cong :premises (@p291 @p290) :args (@t63)) % 1.32/1.57 (step @p293 :rule cong :premises (@p79 @p292) :args (@t64)) % 1.32/1.57 (step @p294 :rule cong :premises (@p293) :args (@t65)) % 1.32/1.57 (step @p295 :rule trans :premises (@p294 @p224)) % 1.32/1.57 (step @p296 :rule refl :args (@t9)) % 1.32/1.57 (step @p297 :rule cong :premises (@p296 @p295) :args (@t66)) % 1.32/1.57 (step @p298 :rule refl :args (@t14)) % 1.32/1.57 (step @p299 :rule cong :premises (@p298 @p297) :args (@t67)) % 1.32/1.57 (step @p300 :rule cong :premises (@p299) :args (@t68)) % 1.32/1.57 (step @p301 :rule trans :premises (@p300 @p217)) % 1.32/1.57 (step @p302 :rule eq_resolve :premises (@p35 @p301)) % 1.32/1.57 (step @p303 :rule bool-eq-true :args (@t233)) % 1.32/1.57 (step @p304 :rule eq-symm :args (true @t233)) % 1.32/1.57 (step @p305 :rule trans :premises (@p304 @p303)) % 1.32/1.57 (step @p306 :rule refl :args (@t233)) % 1.32/1.57 (step @p307 :rule eq-refl :args (@t112)) % 1.32/1.58 (step @p308 :rule cong :premises (@p307 @p306) :args ((= @t234 @t233))) % 1.32/1.58 (step @p309 :rule trans :premises (@p308 @p305)) % 1.32/1.58 (step @p310 :rule eq-symm :args (@t233 @t234)) % 1.32/1.58 (step @p311 :rule trans :premises (@p310 @p309)) % 1.32/1.58 (step @p312 :rule refl :args (@t140)) % 1.32/1.58 (step @p313 :rule nary_cong :premises (@p86 @p85 @p312 @p89 @p88 @p311) :args (@t235)) % 1.32/1.58 (step @p314 :rule refl :args (@t236)) % 1.32/1.58 (step @p315 :rule cong :premises (@p314 @p313) :args ((=> @t236 @t235))) % 1.32/1.58 (assume-push @p353 @t236) % 1.32/1.58 (step @p317 :rule instantiate :premises (@p302) :args ((@list @t111 @t112))) % 1.32/1.58 (step-pop @p354 :rule scope :premises (@p317)) % 1.32/1.58 (step @p318 :rule process_scope :premises (@p354) :args (@t235)) % 1.32/1.58 (step @p320 :rule eq_resolve :premises (@p318 @p315)) % 1.32/1.58 (step @p321 :rule implies_elim :premises (@p320)) % 1.32/1.58 (step @p322 :rule chain_m_resolution :premises (@p321 @p302) :args (@t237 @t131 (@list @t236))) % 1.32/1.58 (step @p323 :rule cnf_or_pos :args (@t237)) % 1.32/1.58 (step @p324 :rule reordering :premises (@p323) :args ((or @t119 @t117 @t140 @t126 @t124 @t233 (not @t237)))) % 1.32/1.58 (step @p325 :rule chain_m_resolution :premises (@p324 @p151 @p145 @p139 @p180 @p177 @p322) :args (@t233 @t158 (@list @t118 @t116 @t139 @t125 @t123 @t237))) % 1.32/1.58 (step @p326 :rule cnf_and_pos :args (@t233 1)) % 1.32/1.58 (step @p327 :rule reordering :premises (@p326) :args ((or @t232 (not @t233)))) % 1.32/1.58 (step @p328 :rule chain_m_resolution :premises (@p327 @p325) :args (@t232 @t131 (@list @t233))) % 1.32/1.58 (step @p329 :rule instantiate :premises (@p328) :args ((@list @t110))) % 1.32/1.58 (step @p330 :rule cnf_or_pos :args (@t239)) % 1.32/1.58 (step @p331 :rule reordering :premises (@p330) :args ((or @t138 @t238 (not @t239)))) % 1.32/1.58 (step @p332 :rule chain_m_resolution :premises (@p331 @p122 @p329) :args (@t238 (@list false false) (@list @t134 @t239))) % 1.32/1.58 (step @p333 :rule cnf_and_pos :args (@t238 1)) % 1.32/1.58 (step @p334 :rule reordering :premises (@p333) :args ((or @t136 (not @t238)))) % 1.32/1.58 (step @p335 :rule chain_m_resolution :premises (@p334 @p332) :args (@t136 @t131 (@list @t238))) % 1.32/1.58 (step @p336 :rule cnf_or_neg :args (@t141 4)) % 1.32/1.58 (step @p337 :rule chain_m_resolution :premises (@p336 @p115) :args ((not @t137) @t142 @t143)) % 1.32/1.58 (step @p338 :rule cnf_and_neg :args (@t137)) % 1.32/1.58 (step @p339 :rule chain_m_resolution :premises (@p338 @p337 @p335) :args ((not @t135) (@list true false) (@list @t137 @t136))) % 1.32/1.58 (assume-push @p355 @t136) % 1.32/1.58 (assume-push @p356 @t129) % 1.32/1.58 (step @p342 :rule trans :premises (@p335 @p183)) % 1.32/1.58 (step-pop @p357 :rule scope :premises (@p342)) % 1.32/1.58 (step-pop @p358 :rule scope :premises (@p357)) % 1.32/1.58 (step @p343 :rule process_scope :premises (@p358) :args (@t135)) % 1.32/1.58 (step @p346 :rule implies_elim :premises (@p343)) % 1.32/1.58 (step @p347 :rule cnf_and_neg :args (@t240)) % 1.32/1.58 (step @p348 :rule resolution :premises (@p347 @p346) :args (true @t240)) % 1.32/1.58 (step @p349 :rule reordering :premises (@p348) :args ((or @t135 (not @t136) (not @t129)))) % 1.32/1.58 (step @p350 false :rule chain_m_resolution :premises (@p349 @p339 @p335 @p183) :args (false (@list true false false) (@list @t135 @t136 @t129))) % 1.32/1.58 ) % 1.32/1.58 % SZS output end Proof % 1.32/1.58 % cvc5 exiting %------------------------------------------------------------------------------