%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU221+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 0.94s 1.14s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU221+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:42:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.94/1.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.14 % SZS status Theorem % 0.94/1.14 % SZS output start Proof % 0.94/1.14 ( % 0.94/1.14 (declare-sort $$unsorted 0) % 0.94/1.14 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.94/1.14 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.94/1.14 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.94/1.14 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.14 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.94/1.14 (declare-const tptp.empty_set $$unsorted) % 0.94/1.14 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.94/1.14 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.94/1.14 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.14 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.94/1.14 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.94/1.14 (declare-const tptp.function (-> $$unsorted Bool)) % 0.94/1.14 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.94/1.14 (define @t1 () (@var "A" $$unsorted)) % 0.94/1.14 (define @t2 () (@var "B" $$unsorted)) % 0.94/1.14 (define @t3 () (tptp.in @t1 @t2)) % 0.94/1.15 (define @t4 () (@list @t1 @t2)) % 0.94/1.15 (define @t5 () (tptp.function @t1)) % 0.94/1.15 (define @t6 () (tptp.empty @t1)) % 0.94/1.15 (define @t7 () (@list @t1)) % 0.94/1.15 (define @t8 () (tptp.relation @t1)) % 0.94/1.15 (define @t9 () (tptp.one_to_one @t1)) % 0.94/1.15 (define @t10 () (and @t8 @t5 @t9)) % 0.94/1.15 (define @t11 () (and @t8 @t6 @t5)) % 0.94/1.15 (define @t12 () (@var "C" $$unsorted)) % 0.94/1.15 (define @t13 () (= @t2 @t12)) % 0.94/1.15 (define @t14 () (= (tptp.apply @t1 @t2) (tptp.apply @t1 @t12))) % 0.94/1.15 (define @t15 () (tptp.relation_dom @t1)) % 0.94/1.15 (define @t16 () (tptp.in @t12 @t15)) % 0.94/1.15 (define @t17 () (tptp.in @t2 @t15)) % 0.94/1.15 (define @t18 () (and @t17 @t16 @t14)) % 0.94/1.15 (define @t19 () (@list @t2 @t12)) % 0.94/1.15 (define @t20 () (forall @t19 (=> @t18 @t13))) % 0.94/1.15 (define @t21 () (= @t9 @t20)) % 0.94/1.15 (define @t22 () (and @t8 @t5)) % 0.94/1.15 (define @t23 () (=> @t22 @t21)) % 0.94/1.15 (define @t24 () (forall @t7 @t23)) % 0.94/1.15 (define @t25 () (tptp.function_inverse @t1)) % 0.94/1.15 (define @t26 () (and (tptp.relation @t25) (tptp.function @t25))) % 0.94/1.15 (define @t27 () (forall @t7 (=> @t22 @t26))) % 0.94/1.15 (define @t28 () (tptp.relation_composition @t1 @t2)) % 0.94/1.15 (define @t29 () (tptp.relation @t28)) % 0.94/1.15 (define @t30 () (tptp.relation @t2)) % 0.94/1.15 (define @t31 () (@list @t2)) % 0.94/1.15 (define @t32 () (tptp.relation_composition @t2 @t1)) % 0.94/1.15 (define @t33 () (and @t6 @t30)) % 0.94/1.15 (define @t34 () (tptp.relation tptp.empty_set)) % 0.94/1.15 (define @t35 () (tptp.empty tptp.empty_set)) % 0.94/1.15 (define @t36 () (tptp.function @t2)) % 0.94/1.15 (define @t37 () (tptp.empty @t15)) % 0.94/1.15 (define @t38 () (not @t6)) % 0.94/1.15 (define @t39 () (and @t38 @t8)) % 0.94/1.15 (define @t40 () (tptp.relation_rng @t1)) % 0.94/1.15 (define @t41 () (tptp.empty @t40)) % 0.94/1.15 (define @t42 () (tptp.element @t1 @t2)) % 0.94/1.15 (define @t43 () (tptp.empty @t2)) % 0.94/1.15 (define @t44 () (@var "D" $$unsorted)) % 0.94/1.15 (define @t45 () (= @t44 (tptp.apply @t2 @t12))) % 0.94/1.15 (define @t46 () (tptp.in @t12 @t40)) % 0.94/1.15 (define @t47 () (and @t46 @t45)) % 0.94/1.15 (define @t48 () (= @t12 (tptp.apply @t1 @t44))) % 0.94/1.15 (define @t49 () (tptp.in @t44 @t15)) % 0.94/1.15 (define @t50 () (and @t49 @t48)) % 0.94/1.15 (define @t51 () (and (=> @t47 @t50) (=> @t50 @t47))) % 0.94/1.15 (define @t52 () (@list @t12 @t44)) % 0.94/1.15 (define @t53 () (forall @t52 @t51)) % 0.94/1.15 (define @t54 () (tptp.relation_dom @t2)) % 0.94/1.15 (define @t55 () (and (= @t54 @t40) @t53)) % 0.94/1.15 (define @t56 () (= @t2 @t25)) % 0.94/1.15 (define @t57 () (= @t56 @t55)) % 0.94/1.15 (define @t58 () (and @t30 @t36)) % 0.94/1.15 (define @t59 () (=> @t58 @t57)) % 0.94/1.15 (define @t60 () (forall @t31 @t59)) % 0.94/1.15 (define @t61 () (=> @t9 @t60)) % 0.94/1.15 (define @t62 () (=> @t22 @t61)) % 0.94/1.15 (define @t63 () (forall @t7 @t62)) % 0.94/1.15 (define @t64 () (tptp.function_inverse @t2)) % 0.94/1.15 (define @t65 () (and (= @t1 (tptp.apply @t2 (tptp.apply @t64 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t64 @t2) @t1)))) % 0.94/1.15 (define @t66 () (tptp.in @t1 (tptp.relation_rng @t2))) % 0.94/1.15 (define @t67 () (tptp.one_to_one @t2)) % 0.94/1.15 (define @t68 () (and @t67 @t66)) % 0.94/1.15 (define @t69 () (=> @t68 @t65)) % 0.94/1.15 (define @t70 () (forall @t4 (=> @t58 @t69))) % 0.94/1.15 (define @t71 () (tptp.one_to_one @t25)) % 0.94/1.15 (define @t72 () (=> @t9 @t71)) % 0.94/1.15 (define @t73 () (forall @t7 (=> @t22 @t72))) % 0.94/1.15 (define @t74 () (not @t73)) % 0.94/1.15 (define @t75 () (not @t14)) % 0.94/1.15 (define @t76 () (not @t16)) % 0.94/1.15 (define @t77 () (not @t17)) % 0.94/1.15 (define @t78 () (or @t77 @t76 @t75 @t13)) % 0.94/1.15 (define @t79 () (= @t9 (forall @t19 @t78))) % 0.94/1.15 (define @t80 () (not @t5)) % 0.94/1.15 (define @t81 () (not @t8)) % 0.94/1.15 (define @t82 () (or @t81 @t80)) % 0.94/1.15 (define @t83 () (not @t22)) % 0.94/1.15 (define @t84 () (or @t77 @t76 @t75)) % 0.94/1.15 (define @t85 () (not @t9)) % 0.94/1.15 (define @t86 () (or @t81 @t80 @t85 @t71)) % 0.94/1.15 (define @t87 () (@quantifiers_skolemize (forall @t7 @t86) 0)) % 0.94/1.15 (define @t88 () (tptp.function_inverse @t87)) % 0.94/1.15 (define @t89 () (tptp.function @t87)) % 0.94/1.15 (define @t90 () (tptp.one_to_one @t88)) % 0.94/1.15 (define @t91 () (tptp.one_to_one @t87)) % 0.94/1.15 (define @t92 () (not @t91)) % 0.94/1.15 (define @t93 () (not @t89)) % 0.94/1.15 (define @t94 () (tptp.relation @t87)) % 0.94/1.15 (define @t95 () (not @t94)) % 0.94/1.15 (define @t96 () (or @t95 @t93 @t92 @t90)) % 0.94/1.15 (define @t97 () (@list true)) % 0.94/1.15 (define @t98 () (@list @t96)) % 0.94/1.15 (define @t99 () (tptp.function @t88)) % 0.94/1.15 (define @t100 () (tptp.relation @t88)) % 0.94/1.15 (define @t101 () (and @t100 @t99)) % 0.94/1.15 (define @t102 () (or @t95 @t93 @t101)) % 0.94/1.15 (define @t103 () (@list false false false)) % 0.94/1.15 (define @t104 () (not @t101)) % 0.94/1.15 (define @t105 () (@list false)) % 0.94/1.15 (define @t106 () (@list @t101)) % 0.94/1.15 (define @t107 () (tptp.relation_dom @t88)) % 0.94/1.15 (define @t108 () (forall @t19 (or (not (tptp.in @t2 @t107)) (not (tptp.in @t12 @t107)) (not (= (tptp.apply @t88 @t2) (tptp.apply @t88 @t12))) @t13))) % 0.94/1.15 (define @t109 () (= @t90 @t108)) % 0.94/1.15 (define @t110 () (not @t99)) % 0.94/1.15 (define @t111 () (not @t100)) % 0.94/1.15 (define @t112 () (or @t111 @t110 @t109)) % 0.94/1.15 (define @t113 () (not @t108)) % 0.94/1.15 (define @t114 () (@quantifiers_skolemize @t108 1)) % 0.94/1.15 (define @t115 () (tptp.apply @t88 @t114)) % 0.94/1.15 (define @t116 () (@quantifiers_skolemize @t108 0)) % 0.94/1.15 (define @t117 () (tptp.apply @t88 @t116)) % 0.94/1.15 (define @t118 () (= @t117 @t115)) % 0.94/1.15 (define @t119 () (= @t116 @t114)) % 0.94/1.15 (define @t120 () (not @t118)) % 0.94/1.15 (define @t121 () (tptp.in @t114 @t107)) % 0.94/1.15 (define @t122 () (not @t121)) % 0.94/1.15 (define @t123 () (tptp.in @t116 @t107)) % 0.94/1.15 (define @t124 () (not @t123)) % 0.94/1.15 (define @t125 () (or @t124 @t122 @t120 @t119)) % 0.94/1.15 (define @t126 () (@list @t125)) % 0.94/1.15 (define @t127 () (not @t119)) % 0.94/1.15 (define @t128 () (not @t66)) % 0.94/1.15 (define @t129 () (not @t67)) % 0.94/1.15 (define @t130 () (not @t36)) % 0.94/1.15 (define @t131 () (not @t30)) % 0.94/1.15 (define @t132 () (or @t129 @t128 @t65)) % 0.94/1.15 (define @t133 () (or @t131 @t130)) % 0.94/1.15 (define @t134 () (not @t58)) % 0.94/1.15 (define @t135 () (@var "BOUND_VARIABLE_7806" $$unsorted)) % 0.94/1.15 (define @t136 () (= @t25 @t135)) % 0.94/1.15 (define @t137 () (@var "BOUND_VARIABLE_7751" $$unsorted)) % 0.94/1.15 (define @t138 () (tptp.apply @t1 @t137)) % 0.94/1.15 (define @t139 () (tptp.in @t138 @t40)) % 0.94/1.15 (define @t140 () (not (tptp.in @t137 @t15))) % 0.94/1.15 (define @t141 () (@list @t137)) % 0.94/1.15 (define @t142 () (@var "BOUND_VARIABLE_7733" $$unsorted)) % 0.94/1.15 (define @t143 () (tptp.apply @t135 @t142)) % 0.94/1.15 (define @t144 () (not (tptp.in @t142 @t40))) % 0.94/1.15 (define @t145 () (@list @t142)) % 0.94/1.15 (define @t146 () (and (= @t40 (tptp.relation_dom @t135)) (forall @t145 (or @t144 (and (tptp.in @t143 @t15) (= @t142 (tptp.apply @t1 @t143))))) (forall @t141 (or @t140 (and @t139 (= @t137 (tptp.apply @t135 @t138))))))) % 0.94/1.15 (define @t147 () (= (= @t135 @t25) @t146)) % 0.94/1.15 (define @t148 () (not (tptp.function @t135))) % 0.94/1.15 (define @t149 () (not (tptp.relation @t135))) % 0.94/1.15 (define @t150 () (or @t81 @t80 @t85 @t149 @t148 @t147)) % 0.94/1.15 (define @t151 () (or @t149 @t148 @t147)) % 0.94/1.15 (define @t152 () (or @t81 @t80 @t85 @t151)) % 0.94/1.15 (define @t153 () (@list @t1 @t135)) % 0.94/1.15 (define @t154 () (forall @t153 @t152)) % 0.94/1.15 (define @t155 () (@list @t135)) % 0.94/1.15 (define @t156 () (forall @t155 @t152)) % 0.94/1.15 (define @t157 () (forall @t155 @t151)) % 0.94/1.15 (define @t158 () (or @t81 @t80 @t85 @t157)) % 0.94/1.15 (define @t159 () (and @t139 (= @t137 (tptp.apply @t2 @t138)))) % 0.94/1.15 (define @t160 () (or @t140 @t159)) % 0.94/1.15 (define @t161 () (forall @t141 @t160)) % 0.94/1.15 (define @t162 () (tptp.apply @t2 @t142)) % 0.94/1.15 (define @t163 () (and (tptp.in @t162 @t15) (= @t142 (tptp.apply @t1 @t162)))) % 0.94/1.15 (define @t164 () (or @t144 @t163)) % 0.94/1.15 (define @t165 () (forall @t145 @t164)) % 0.94/1.15 (define @t166 () (= @t40 @t54)) % 0.94/1.15 (define @t167 () (and @t166 @t165 @t161)) % 0.94/1.15 (define @t168 () (= @t56 @t167)) % 0.94/1.15 (define @t169 () (or @t131 @t130 @t168)) % 0.94/1.15 (define @t170 () (forall @t31 @t169)) % 0.94/1.15 (define @t171 () (or @t81 @t80 @t85 @t170)) % 0.94/1.15 (define @t172 () (=> @t9 @t170)) % 0.94/1.15 (define @t173 () (not (= @t138 @t138))) % 0.94/1.15 (define @t174 () (or @t140 @t173 @t159)) % 0.94/1.15 (define @t175 () (@var "BOUND_VARIABLE_7749" $$unsorted)) % 0.94/1.15 (define @t176 () (and (tptp.in @t175 @t40) (= @t137 (tptp.apply @t2 @t175)))) % 0.94/1.15 (define @t177 () (not (= @t175 @t138))) % 0.94/1.15 (define @t178 () (or @t177 @t140 @t177 @t176)) % 0.94/1.15 (define @t179 () (@list @t175)) % 0.94/1.15 (define @t180 () (or @t140 @t177 @t176)) % 0.94/1.15 (define @t181 () (forall @t179 @t180)) % 0.94/1.15 (define @t182 () (forall @t141 @t181)) % 0.94/1.15 (define @t183 () (forall (@list @t137 @t175) @t180)) % 0.94/1.15 (define @t184 () (forall (@list @t175 @t137) @t180)) % 0.94/1.15 (define @t185 () (not (= @t162 @t162))) % 0.94/1.15 (define @t186 () (or @t144 @t185 @t163)) % 0.94/1.15 (define @t187 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 0.94/1.15 (define @t188 () (and (tptp.in @t187 @t15) (= @t142 (tptp.apply @t1 @t187)))) % 0.94/1.15 (define @t189 () (not (= @t187 @t162))) % 0.94/1.15 (define @t190 () (or @t189 @t144 @t189 @t188)) % 0.94/1.15 (define @t191 () (@list @t187)) % 0.94/1.15 (define @t192 () (or @t144 @t189 @t188)) % 0.94/1.15 (define @t193 () (forall @t191 @t192)) % 0.94/1.15 (define @t194 () (forall @t145 @t193)) % 0.94/1.15 (define @t195 () (forall (@list @t142 @t187) @t192)) % 0.94/1.15 (define @t196 () (not @t48)) % 0.94/1.15 (define @t197 () (not @t49)) % 0.94/1.15 (define @t198 () (or @t197 @t196 @t47)) % 0.94/1.15 (define @t199 () (forall @t52 @t198)) % 0.94/1.15 (define @t200 () (@list @t12 @t44)) % 0.94/1.15 (define @t201 () (not @t45)) % 0.94/1.15 (define @t202 () (not @t46)) % 0.94/1.15 (define @t203 () (or @t202 @t201 @t50)) % 0.94/1.15 (define @t204 () (forall @t52 @t203)) % 0.94/1.15 (define @t205 () (and @t204 @t199)) % 0.94/1.15 (define @t206 () (tptp.apply @t87 @t137)) % 0.94/1.15 (define @t207 () (tptp.relation_rng @t87)) % 0.94/1.15 (define @t208 () (tptp.relation_dom @t87)) % 0.94/1.15 (define @t209 () (forall @t141 (or (not (tptp.in @t137 @t208)) (and (tptp.in @t206 @t207) (= @t137 (tptp.apply @t88 @t206)))))) % 0.94/1.15 (define @t210 () (tptp.apply @t88 @t142)) % 0.94/1.15 (define @t211 () (forall @t145 (or (not (tptp.in @t142 @t207)) (and (tptp.in @t210 @t208) (= @t142 (tptp.apply @t87 @t210)))))) % 0.94/1.15 (define @t212 () (= @t107 @t207)) % 0.94/1.15 (define @t213 () (and @t212 @t211 @t209)) % 0.94/1.15 (define @t214 () (and (= @t207 @t107) @t211 @t209)) % 0.94/1.15 (define @t215 () (= @t88 @t88)) % 0.94/1.15 (define @t216 () (or @t95 @t93 @t92 @t111 @t110 (= @t214 @t215))) % 0.94/1.15 (define @t217 () (forall @t153 (or @t81 @t80 @t85 @t149 @t148 (= @t146 @t136)))) % 0.94/1.15 (define @t218 () (or @t95 @t93 @t92 @t111 @t110 @t213)) % 0.94/1.15 (define @t219 () (tptp.in @t114 @t207)) % 0.94/1.15 (define @t220 () (tptp.relation_composition @t88 @t87)) % 0.94/1.15 (define @t221 () (= @t114 (tptp.apply @t87 @t115))) % 0.94/1.15 (define @t222 () (and @t221 (= @t114 (tptp.apply @t220 @t114)))) % 0.94/1.15 (define @t223 () (not @t219)) % 0.94/1.15 (define @t224 () (or @t95 @t93 @t92 @t223 @t222)) % 0.94/1.15 (define @t225 () (@list false false false false false)) % 0.94/1.15 (define @t226 () (tptp.in @t116 @t207)) % 0.94/1.15 (define @t227 () (tptp.apply @t87 @t117)) % 0.94/1.15 (define @t228 () (= @t116 @t227)) % 0.94/1.15 (define @t229 () (and @t228 (= @t116 (tptp.apply @t220 @t116)))) % 0.94/1.15 (define @t230 () (not @t226)) % 0.94/1.15 (define @t231 () (or @t95 @t93 @t92 @t230 @t229)) % 0.94/1.15 (define @t232 () (not @t228)) % 0.94/1.15 (define @t233 () (not @t221)) % 0.94/1.15 (define @t234 () (and @t118 @t127 @t221)) % 0.94/1.15 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.94/1.15 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.94/1.15 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.94/1.15 (assume @p4 (forall @t7 (=> @t11 @t10))) % 0.94/1.15 (assume @p5 @t24) % 0.94/1.15 (assume @p6 true) % 0.94/1.15 (assume @p7 @t27) % 0.94/1.15 (assume @p8 (forall @t4 (=> (and @t8 @t30) @t29))) % 0.94/1.15 (assume @p9 (forall @t7 (exists @t31 (tptp.element @t2 @t1)))) % 0.94/1.15 (assume @p10 (forall @t4 (=> @t33 (and (tptp.empty @t32) (tptp.relation @t32))))) % 0.94/1.15 (assume @p11 (and @t35 @t34 (tptp.relation_empty_yielding tptp.empty_set))) % 0.94/1.15 (assume @p12 (forall @t4 (=> (and @t8 @t5 @t30 @t36) (and @t29 (tptp.function @t28))))) % 0.94/1.15 (assume @p13 @t35) % 0.94/1.15 (assume @p14 (and @t35 @t34)) % 0.94/1.15 (assume @p15 (forall @t7 (=> @t39 (not @t37)))) % 0.94/1.15 (assume @p16 (forall @t7 (=> @t39 (not @t41)))) % 0.94/1.15 (assume @p17 (forall @t7 (=> @t6 (and @t37 (tptp.relation @t15))))) % 0.94/1.15 (assume @p18 (forall @t7 (=> @t6 (and @t41 (tptp.relation @t40))))) % 0.94/1.15 (assume @p19 (forall @t4 (=> @t33 (and (tptp.empty @t28) @t29)))) % 0.94/1.15 (assume @p20 (exists @t7 @t22)) % 0.94/1.15 (assume @p21 (exists @t7 (and @t6 @t8))) % 0.94/1.15 (assume @p22 (exists @t7 @t6)) % 0.94/1.15 (assume @p23 (exists @t7 @t11)) % 0.94/1.15 (assume @p24 (exists @t7 @t39)) % 0.94/1.15 (assume @p25 (exists @t7 @t38)) % 0.94/1.15 (assume @p26 (exists @t7 @t10)) % 0.94/1.15 (assume @p27 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.94/1.15 (assume @p28 (forall @t4 (=> @t3 @t42))) % 0.94/1.15 (assume @p29 (forall @t4 (=> @t42 (or @t43 @t3)))) % 0.94/1.15 (assume @p30 @t63) % 0.94/1.15 (assume @p31 @t70) % 0.94/1.15 (assume @p32 @t74) % 0.94/1.15 (assume @p33 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.94/1.15 (assume @p34 (forall @t4 (not (and @t3 @t43)))) % 0.94/1.15 (assume @p35 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t43)))) % 0.94/1.15 (step @p36 :rule aci_norm :args ((= (or @t82 @t79) (or @t81 @t80 @t79)))) % 0.94/1.15 (step @p37 :rule refl :args (@t79)) % 0.94/1.15 (step @p38 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.94/1.15 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t83 @t79))) % 0.94/1.15 (step @p40 :rule trans :premises (@p39 @p36)) % 0.94/1.15 (step @p41 :rule bool-impl-elim :args (@t22 @t79)) % 0.94/1.15 (step @p42 :rule trans :premises (@p41 @p40)) % 0.94/1.15 (step @p43 :rule cong :premises (@p42) :args ((forall @t7 (=> @t22 @t79)))) % 0.94/1.15 (step @p44 :rule aci_norm :args ((= (or @t84 @t13) @t78))) % 0.94/1.15 (step @p45 :rule refl :args (@t13)) % 0.94/1.15 (step @p46 :rule aci_norm :args ((= (or @t77 (or @t76 @t75)) @t84))) % 0.94/1.15 (step @p47 :rule bool-and-de-morgan :args (@t16 @t14 true)) % 0.94/1.15 (step @p48 :rule refl :args (@t77)) % 0.94/1.15 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t77 (not (and @t16 @t14))))) % 0.94/1.15 (step @p50 :rule bool-and-de-morgan :args (@t17 @t16 (and @t14))) % 0.94/1.15 (step @p51 :rule trans :premises (@p50 @p49)) % 0.94/1.15 (step @p52 :rule trans :premises (@p51 @p46)) % 0.94/1.15 (step @p53 :rule nary_cong :premises (@p52 @p45) :args ((or (not @t18) @t13))) % 0.94/1.15 (step @p54 :rule trans :premises (@p53 @p44)) % 0.94/1.15 (step @p55 :rule bool-impl-elim :args (@t18 @t13)) % 0.94/1.15 (step @p56 :rule trans :premises (@p55 @p54)) % 0.94/1.15 (step @p57 :rule cong :premises (@p56) :args (@t20)) % 0.94/1.15 (step @p58 :rule refl :args (@t9)) % 0.94/1.15 (step @p59 :rule cong :premises (@p58 @p57) :args (@t21)) % 0.94/1.15 (step @p60 :rule refl :args (@t22)) % 0.94/1.15 (step @p61 :rule cong :premises (@p60 @p59) :args (@t23)) % 0.94/1.15 (step @p62 :rule cong :premises (@p61) :args (@t24)) % 0.94/1.15 (step @p63 :rule trans :premises (@p62 @p43)) % 0.94/1.15 (step @p64 :rule eq_resolve :premises (@p5 @p63)) % 0.94/1.15 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t88))) % 0.94/1.15 (step @p66 :rule aci_norm :args ((= (or @t82 @t26) (or @t81 @t80 @t26)))) % 0.94/1.15 (step @p67 :rule refl :args (@t26)) % 0.94/1.15 (step @p68 :rule nary_cong :premises (@p38 @p67) :args ((or @t83 @t26))) % 0.94/1.15 (step @p69 :rule trans :premises (@p68 @p66)) % 0.94/1.15 (step @p70 :rule bool-impl-elim :args (@t22 @t26)) % 0.94/1.15 (step @p71 :rule trans :premises (@p70 @p69)) % 0.94/1.15 (step @p72 :rule cong :premises (@p71) :args (@t27)) % 0.94/1.15 (step @p73 :rule eq_resolve :premises (@p7 @p72)) % 0.94/1.15 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t87))) % 0.94/1.15 (step @p75 :rule aci_norm :args ((= (or @t82 (or @t85 @t71)) @t86))) % 0.94/1.15 (step @p76 :rule bool-impl-elim :args (@t9 @t71)) % 0.94/1.15 (step @p77 :rule nary_cong :premises (@p38 @p76) :args ((or @t83 @t72))) % 0.94/1.15 (step @p78 :rule trans :premises (@p77 @p75)) % 0.94/1.15 (step @p79 :rule bool-impl-elim :args (@t22 @t72)) % 0.94/1.15 (step @p80 :rule trans :premises (@p79 @p78)) % 0.94/1.15 (step @p81 :rule cong :premises (@p80) :args (@t73)) % 0.94/1.15 (step @p82 :rule cong :premises (@p81) :args (@t74)) % 0.94/1.15 (step @p83 :rule eq_resolve :premises (@p32 @p82)) % 0.94/1.15 (step @p84 :rule skolemize :premises (@p83)) % 0.94/1.15 (step @p85 :rule bool-double-not-elim :args (@t89)) % 0.94/1.15 (step @p86 :rule refl :args (@t96)) % 0.94/1.15 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t96 (not @t93)))) % 0.94/1.15 (step @p88 :rule cnf_or_neg :args (@t96 1)) % 0.94/1.15 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.94/1.15 (step @p90 :rule reordering :premises (@p89) :args ((or @t89 @t96))) % 0.94/1.15 (step @p91 :rule chain_m_resolution :premises (@p90 @p84) :args (@t89 @t97 @t98)) % 0.94/1.15 (step @p92 :rule bool-double-not-elim :args (@t94)) % 0.94/1.15 (step @p93 :rule nary_cong :premises (@p86 @p92) :args ((or @t96 (not @t95)))) % 0.94/1.15 (step @p94 :rule cnf_or_neg :args (@t96 0)) % 0.94/1.15 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.94/1.15 (step @p96 :rule reordering :premises (@p95) :args ((or @t94 @t96))) % 0.94/1.15 (step @p97 :rule chain_m_resolution :premises (@p96 @p84) :args (@t94 @t97 @t98)) % 0.94/1.15 (step @p98 :rule cnf_or_pos :args (@t102)) % 0.94/1.15 (step @p99 :rule reordering :premises (@p98) :args ((or @t95 @t93 @t101 (not @t102)))) % 0.94/1.15 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p91 @p74) :args (@t101 @t103 (@list @t94 @t89 @t102))) % 0.94/1.15 (step @p101 :rule cnf_and_pos :args (@t101 1)) % 0.94/1.15 (step @p102 :rule reordering :premises (@p101) :args ((or @t99 @t104))) % 0.94/1.15 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t99 @t105 @t106)) % 0.94/1.15 (step @p104 :rule cnf_and_pos :args (@t101 0)) % 0.94/1.15 (step @p105 :rule reordering :premises (@p104) :args ((or @t100 @t104))) % 0.94/1.15 (step @p106 :rule chain_m_resolution :premises (@p105 @p100) :args (@t100 @t105 @t106)) % 0.94/1.15 (step @p107 :rule cnf_or_pos :args (@t112)) % 0.94/1.15 (step @p108 :rule reordering :premises (@p107) :args ((or @t111 @t110 @t109 (not @t112)))) % 0.94/1.15 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p103 @p65) :args (@t109 @t103 (@list @t100 @t99 @t112))) % 0.94/1.15 (step @p110 :rule cnf_or_neg :args (@t96 3)) % 0.94/1.15 (step @p111 :rule chain_m_resolution :premises (@p110 @p84) :args ((not @t90) @t97 @t98)) % 0.94/1.15 (step @p112 :rule cnf_equiv_pos2 :args (@t109)) % 0.94/1.15 (step @p113 :rule reordering :premises (@p112) :args ((or @t90 @t113 (not @t109)))) % 0.94/1.15 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p109) :args (@t113 (@list true false) (@list @t90 @t109))) % 0.94/1.15 (step @p115 :rule skolemize :premises (@p114)) % 0.94/1.15 (step @p116 :rule bool-double-not-elim :args (@t118)) % 0.94/1.15 (step @p117 :rule refl :args (@t125)) % 0.94/1.15 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t125 (not @t120)))) % 0.94/1.15 (step @p119 :rule cnf_or_neg :args (@t125 2)) % 0.94/1.15 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.94/1.15 (step @p121 :rule reordering :premises (@p120) :args ((or @t118 @t125))) % 0.94/1.15 (step @p122 :rule chain_m_resolution :premises (@p121 @p115) :args (@t118 @t97 @t126)) % 0.94/1.15 (step @p123 :rule cnf_or_neg :args (@t125 3)) % 0.94/1.15 (step @p124 :rule chain_m_resolution :premises (@p123 @p115) :args (@t127 @t97 @t126)) % 0.94/1.15 (step @p125 :rule aci_norm :args ((= (or @t133 @t132) (or @t131 @t130 @t129 @t128 @t65)))) % 0.94/1.15 (step @p126 :rule aci_norm :args ((= (or (or @t129 @t128) @t65) @t132))) % 0.94/1.15 (step @p127 :rule refl :args (@t65)) % 0.94/1.15 (step @p128 :rule bool-and-de-morgan :args (@t67 @t66 true)) % 0.94/1.15 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t68) @t65))) % 0.94/1.15 (step @p130 :rule trans :premises (@p129 @p126)) % 0.94/1.15 (step @p131 :rule bool-impl-elim :args (@t68 @t65)) % 0.94/1.15 (step @p132 :rule trans :premises (@p131 @p130)) % 0.94/1.15 (step @p133 :rule bool-and-de-morgan :args (@t30 @t36 true)) % 0.94/1.15 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t134 @t69))) % 0.94/1.15 (step @p135 :rule trans :premises (@p134 @p125)) % 0.94/1.15 (step @p136 :rule bool-impl-elim :args (@t58 @t69)) % 0.94/1.15 (step @p137 :rule trans :premises (@p136 @p135)) % 0.94/1.15 (step @p138 :rule cong :premises (@p137) :args (@t70)) % 0.94/1.15 (step @p139 :rule eq_resolve :premises (@p31 @p138)) % 0.94/1.15 (step @p140 :rule instantiate :premises (@p139) :args ((@list @t114 @t87))) % 0.94/1.15 (step @p141 :rule bool-double-not-elim :args (@t121)) % 0.94/1.15 (step @p142 :rule nary_cong :premises (@p117 @p141) :args ((or @t125 (not @t122)))) % 0.94/1.15 (step @p143 :rule cnf_or_neg :args (@t125 1)) % 0.94/1.15 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.94/1.15 (step @p145 :rule reordering :premises (@p144) :args ((or @t121 @t125))) % 0.94/1.15 (step @p146 :rule chain_m_resolution :premises (@p145 @p115) :args (@t121 @t97 @t126)) % 0.94/1.15 (step @p147 :rule true_intro :premises (@p146)) % 0.94/1.15 (step @p148 :rule eq-symm :args (@t136 @t146)) % 0.94/1.15 (step @p149 :rule refl :args (@t146)) % 0.94/1.15 (step @p150 :rule eq-symm :args (@t135 @t25)) % 0.94/1.15 (step @p151 :rule cong :premises (@p150 @p149) :args (@t147)) % 0.94/1.15 (step @p152 :rule trans :premises (@p151 @p148)) % 0.94/1.15 (step @p153 :rule refl :args (@t148)) % 0.94/1.15 (step @p154 :rule refl :args (@t149)) % 0.94/1.15 (step @p155 :rule refl :args (@t85)) % 0.94/1.15 (step @p156 :rule refl :args (@t80)) % 0.94/1.15 (step @p157 :rule refl :args (@t81)) % 0.94/1.15 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154 @p153 @p152) :args (@t150)) % 0.94/1.15 (step @p159 :rule aci_norm :args ((= @t152 @t150))) % 0.94/1.15 (step @p160 :rule trans :premises (@p159 @p158)) % 0.94/1.15 (step @p161 :rule cong :premises (@p160) :args (@t154)) % 0.94/1.15 (step @p162 :rule quant-merge-prenex :args ((= (forall @t7 @t156) @t154))) % 0.94/1.15 (step @p163 :rule alpha_equiv :args (@t157 (@list @t135) (@list @t2))) % 0.94/1.15 (step @p164 :rule refl :args (@t85)) % 0.94/1.15 (step @p165 :rule refl :args (@t80)) % 0.94/1.15 (step @p166 :rule refl :args (@t81)) % 0.94/1.15 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164 @p163) :args (@t158)) % 0.94/1.15 (step @p168 :rule quant-miniscope-or :args ((= @t156 @t158))) % 0.94/1.15 (step @p169 :rule trans :premises (@p168 @p167)) % 0.94/1.15 (step @p170 :rule symm :premises (@p169)) % 0.94/1.15 (step @p171 :rule cong :premises (@p170) :args ((forall @t7 @t171))) % 0.94/1.15 (step @p172 :rule trans :premises (@p171 @p162)) % 0.94/1.15 (step @p173 :rule trans :premises (@p172 @p161)) % 0.94/1.15 (step @p174 :rule aci_norm :args ((= (or @t82 (or @t85 @t170)) @t171))) % 0.94/1.15 (step @p175 :rule bool-impl-elim :args (@t9 @t170)) % 0.94/1.15 (step @p176 :rule nary_cong :premises (@p38 @p175) :args ((or @t83 @t172))) % 0.94/1.15 (step @p177 :rule trans :premises (@p176 @p174)) % 0.94/1.15 (step @p178 :rule bool-impl-elim :args (@t22 @t172)) % 0.94/1.15 (step @p179 :rule trans :premises (@p178 @p177)) % 0.94/1.15 (step @p180 :rule cong :premises (@p179) :args ((forall @t7 (=> @t22 @t172)))) % 0.94/1.15 (step @p181 :rule trans :premises (@p180 @p173)) % 0.94/1.15 (step @p182 :rule aci_norm :args ((= (or @t133 @t168) @t169))) % 0.94/1.15 (step @p183 :rule refl :args (@t168)) % 0.94/1.15 (step @p184 :rule nary_cong :premises (@p133 @p183) :args ((or @t134 @t168))) % 0.94/1.15 (step @p185 :rule trans :premises (@p184 @p182)) % 0.94/1.15 (step @p186 :rule bool-impl-elim :args (@t58 @t168)) % 0.94/1.15 (step @p187 :rule trans :premises (@p186 @p185)) % 0.94/1.15 (step @p188 :rule cong :premises (@p187) :args ((forall @t31 (=> @t58 @t168)))) % 0.94/1.15 (step @p189 :rule aci_norm :args ((= (and @t166 (and @t165 @t161)) @t167))) % 0.94/1.15 (step @p190 :rule aci_norm :args ((= (or @t140 false @t159) @t160))) % 0.94/1.15 (step @p191 :rule refl :args (@t159)) % 0.94/1.15 (step @p192 :rule evaluate :args ((not true))) % 0.94/1.15 (step @p193 :rule eq-refl :args (@t138)) % 0.94/1.15 (step @p194 :rule cong :premises (@p193) :args (@t173)) % 0.94/1.15 (step @p195 :rule trans :premises (@p194 @p192)) % 0.94/1.15 (step @p196 :rule refl :args (@t140)) % 0.94/1.15 (step @p197 :rule nary_cong :premises (@p196 @p195 @p191) :args (@t174)) % 0.94/1.15 (step @p198 :rule trans :premises (@p197 @p190)) % 0.94/1.15 (step @p199 :rule cong :premises (@p198) :args ((forall @t141 @t174))) % 0.94/1.15 (step @p200 :rule quant-var-elim-eq :args ((= (forall @t179 @t178) @t174))) % 0.94/1.15 (step @p201 :rule aci_norm :args ((= @t180 @t178))) % 0.94/1.15 (step @p202 :rule cong :premises (@p201) :args (@t181)) % 0.94/1.15 (step @p203 :rule trans :premises (@p202 @p200)) % 0.94/1.15 (step @p204 :rule cong :premises (@p203) :args (@t182)) % 0.94/1.15 (step @p205 :rule quant-merge-prenex :args ((= @t182 @t183))) % 0.94/1.15 (step @p206 :rule symm :premises (@p205)) % 0.94/1.15 (step @p207 :rule quant_var_reordering :args ((= @t184 @t183))) % 0.94/1.15 (step @p208 :rule trans :premises (@p207 @p206 @p204)) % 0.94/1.15 (step @p209 :rule trans :premises (@p208 @p199)) % 0.94/1.15 (step @p210 :rule aci_norm :args ((= (or @t144 false @t163) @t164))) % 0.94/1.15 (step @p211 :rule refl :args (@t163)) % 0.94/1.15 (step @p212 :rule eq-refl :args (@t162)) % 0.94/1.15 (step @p213 :rule cong :premises (@p212) :args (@t185)) % 0.94/1.15 (step @p214 :rule trans :premises (@p213 @p192)) % 0.94/1.15 (step @p215 :rule refl :args (@t144)) % 0.94/1.15 (step @p216 :rule nary_cong :premises (@p215 @p214 @p211) :args (@t186)) % 0.94/1.15 (step @p217 :rule trans :premises (@p216 @p210)) % 0.94/1.15 (step @p218 :rule cong :premises (@p217) :args ((forall @t145 @t186))) % 0.94/1.15 (step @p219 :rule quant-var-elim-eq :args ((= (forall @t191 @t190) @t186))) % 0.94/1.15 (step @p220 :rule aci_norm :args ((= @t192 @t190))) % 0.94/1.15 (step @p221 :rule cong :premises (@p220) :args (@t193)) % 0.94/1.15 (step @p222 :rule trans :premises (@p221 @p219)) % 0.94/1.15 (step @p223 :rule cong :premises (@p222) :args (@t194)) % 0.94/1.15 (step @p224 :rule quant-merge-prenex :args ((= @t194 @t195))) % 0.94/1.15 (step @p225 :rule symm :premises (@p224)) % 0.94/1.15 (step @p226 :rule trans :premises (@p225 @p223)) % 0.94/1.15 (step @p227 :rule trans :premises (@p226 @p218)) % 0.94/1.15 (step @p228 :rule nary_cong :premises (@p227 @p209) :args ((and @t195 @t184))) % 0.94/1.15 (step @p229 :rule alpha_equiv :args (@t199 @t200 (@list @t175 @t137))) % 0.94/1.15 (step @p230 :rule alpha_equiv :args (@t204 @t200 (@list @t142 @t187))) % 0.94/1.15 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t205)) % 0.94/1.15 (step @p232 :rule quant-miniscope-and :args ((= (forall @t52 (and @t203 @t198)) @t205))) % 0.94/1.15 (step @p233 :rule trans :premises (@p232 @p231)) % 0.94/1.15 (step @p234 :rule trans :premises (@p233 @p228)) % 0.94/1.15 (step @p235 :rule aci_norm :args ((= (or (or @t197 @t196) @t47) @t198))) % 0.94/1.15 (step @p236 :rule refl :args (@t47)) % 0.94/1.15 (step @p237 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 0.94/1.15 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or (not @t50) @t47))) % 0.94/1.15 (step @p239 :rule trans :premises (@p238 @p235)) % 0.94/1.15 (step @p240 :rule bool-impl-elim :args (@t50 @t47)) % 0.94/1.15 (step @p241 :rule trans :premises (@p240 @p239)) % 0.94/1.15 (step @p242 :rule aci_norm :args ((= (or (or @t202 @t201) @t50) @t203))) % 0.94/1.15 (step @p243 :rule refl :args (@t50)) % 0.94/1.15 (step @p244 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 0.94/1.15 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or (not @t47) @t50))) % 0.94/1.15 (step @p246 :rule trans :premises (@p245 @p242)) % 0.94/1.15 (step @p247 :rule bool-impl-elim :args (@t47 @t50)) % 0.94/1.15 (step @p248 :rule trans :premises (@p247 @p246)) % 0.94/1.15 (step @p249 :rule nary_cong :premises (@p248 @p241) :args (@t51)) % 0.94/1.15 (step @p250 :rule cong :premises (@p249) :args (@t53)) % 0.94/1.15 (step @p251 :rule trans :premises (@p250 @p234)) % 0.94/1.15 (step @p252 :rule eq-symm :args (@t54 @t40)) % 0.94/1.15 (step @p253 :rule nary_cong :premises (@p252 @p251) :args (@t55)) % 0.94/1.15 (step @p254 :rule trans :premises (@p253 @p189)) % 0.94/1.15 (step @p255 :rule refl :args (@t56)) % 0.94/1.15 (step @p256 :rule cong :premises (@p255 @p254) :args (@t57)) % 0.94/1.15 (step @p257 :rule refl :args (@t58)) % 0.94/1.15 (step @p258 :rule cong :premises (@p257 @p256) :args (@t59)) % 0.94/1.15 (step @p259 :rule cong :premises (@p258) :args (@t60)) % 0.94/1.15 (step @p260 :rule trans :premises (@p259 @p188)) % 0.94/1.15 (step @p261 :rule cong :premises (@p58 @p260) :args (@t61)) % 0.94/1.15 (step @p262 :rule cong :premises (@p60 @p261) :args (@t62)) % 0.94/1.15 (step @p263 :rule cong :premises (@p262) :args (@t63)) % 0.94/1.15 (step @p264 :rule trans :premises (@p263 @p181)) % 0.94/1.15 (step @p265 :rule eq_resolve :premises (@p30 @p264)) % 0.94/1.15 (step @p266 :rule bool-eq-true :args (@t213)) % 0.94/1.15 (step @p267 :rule eq-symm :args (true @t213)) % 0.94/1.15 (step @p268 :rule trans :premises (@p267 @p266)) % 0.94/1.15 (step @p269 :rule refl :args (@t209)) % 0.94/1.15 (step @p270 :rule refl :args (@t211)) % 0.94/1.15 (step @p271 :rule eq-symm :args (@t207 @t107)) % 0.94/1.15 (step @p272 :rule nary_cong :premises (@p271 @p270 @p269) :args (@t214)) % 0.94/1.15 (step @p273 :rule eq-refl :args (@t88)) % 0.94/1.15 (step @p274 :rule cong :premises (@p273 @p272) :args ((= @t215 @t214))) % 0.94/1.15 (step @p275 :rule trans :premises (@p274 @p268)) % 0.94/1.15 (step @p276 :rule eq-symm :args (@t214 @t215)) % 0.94/1.15 (step @p277 :rule trans :premises (@p276 @p275)) % 0.94/1.15 (step @p278 :rule refl :args (@t110)) % 0.94/1.15 (step @p279 :rule refl :args (@t111)) % 0.94/1.15 (step @p280 :rule refl :args (@t92)) % 0.94/1.15 (step @p281 :rule refl :args (@t93)) % 0.94/1.15 (step @p282 :rule refl :args (@t95)) % 0.94/1.15 (step @p283 :rule nary_cong :premises (@p282 @p281 @p280 @p279 @p278 @p277) :args (@t216)) % 0.94/1.15 (step @p284 :rule refl :args (@t217)) % 0.94/1.15 (step @p285 :rule cong :premises (@p284 @p283) :args ((=> @t217 @t216))) % 0.94/1.15 (assume-push @p359 @t217) % 0.94/1.15 (step @p287 :rule instantiate :premises (@p265) :args ((@list @t87 @t88))) % 0.94/1.15 (step-pop @p360 :rule scope :premises (@p287)) % 0.94/1.15 (step @p288 :rule process_scope :premises (@p360) :args (@t216)) % 0.94/1.15 (step @p290 :rule eq_resolve :premises (@p288 @p285)) % 0.94/1.15 (step @p291 :rule implies_elim :premises (@p290)) % 0.94/1.15 (step @p292 :rule chain_m_resolution :premises (@p291 @p265) :args (@t218 @t105 (@list @t217))) % 0.94/1.15 (step @p293 :rule bool-double-not-elim :args (@t91)) % 0.94/1.15 (step @p294 :rule nary_cong :premises (@p86 @p293) :args ((or @t96 (not @t92)))) % 0.94/1.15 (step @p295 :rule cnf_or_neg :args (@t96 2)) % 0.94/1.15 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 0.94/1.15 (step @p297 :rule reordering :premises (@p296) :args ((or @t91 @t96))) % 0.94/1.15 (step @p298 :rule chain_m_resolution :premises (@p297 @p84) :args (@t91 @t97 @t98)) % 0.94/1.15 (step @p299 :rule cnf_or_pos :args (@t218)) % 0.94/1.15 (step @p300 :rule reordering :premises (@p299) :args ((or @t95 @t93 @t92 @t111 @t110 @t213 (not @t218)))) % 0.94/1.15 (step @p301 :rule chain_m_resolution :premises (@p300 @p97 @p91 @p298 @p106 @p103 @p292) :args (@t213 (@list false false false false false false) (@list @t94 @t89 @t91 @t100 @t99 @t218))) % 0.94/1.15 (step @p302 :rule cnf_and_pos :args (@t213 0)) % 0.94/1.15 (step @p303 :rule reordering :premises (@p302) :args ((or @t212 (not @t213)))) % 0.94/1.15 (step @p304 :rule chain_m_resolution :premises (@p303 @p301) :args (@t212 @t105 (@list @t213))) % 0.94/1.15 (step @p305 :rule symm :premises (@p304)) % 0.94/1.15 (step @p306 :rule refl :args (@t114)) % 0.94/1.15 (step @p307 :rule cong :premises (@p306 @p305) :args (@t219)) % 0.94/1.15 (step @p308 :rule trans :premises (@p307 @p147)) % 0.94/1.15 (step @p309 :rule true_elim :premises (@p308)) % 0.94/1.15 (step @p310 :rule cnf_or_pos :args (@t224)) % 0.94/1.15 (step @p311 :rule reordering :premises (@p310) :args ((or @t95 @t93 @t92 @t223 @t222 (not @t224)))) % 0.94/1.15 (step @p312 :rule chain_m_resolution :premises (@p311 @p97 @p91 @p298 @p309 @p140) :args (@t222 @t225 (@list @t94 @t89 @t91 @t219 @t224))) % 0.94/1.15 (step @p313 :rule cnf_and_pos :args (@t222 0)) % 0.94/1.15 (step @p314 :rule reordering :premises (@p313) :args ((or @t221 (not @t222)))) % 0.94/1.15 (step @p315 :rule chain_m_resolution :premises (@p314 @p312) :args (@t221 @t105 (@list @t222))) % 0.94/1.15 (step @p316 :rule instantiate :premises (@p139) :args ((@list @t116 @t87))) % 0.94/1.15 (step @p317 :rule bool-double-not-elim :args (@t123)) % 0.94/1.15 (step @p318 :rule nary_cong :premises (@p117 @p317) :args ((or @t125 (not @t124)))) % 0.94/1.15 (step @p319 :rule cnf_or_neg :args (@t125 0)) % 0.94/1.15 (step @p320 :rule eq_resolve :premises (@p319 @p318)) % 0.94/1.15 (step @p321 :rule reordering :premises (@p320) :args ((or @t123 @t125))) % 0.94/1.15 (step @p322 :rule chain_m_resolution :premises (@p321 @p115) :args (@t123 @t97 @t126)) % 0.94/1.15 (step @p323 :rule true_intro :premises (@p322)) % 0.94/1.15 (step @p324 :rule refl :args (@t116)) % 0.94/1.15 (step @p325 :rule cong :premises (@p324 @p305) :args (@t226)) % 0.94/1.15 (step @p326 :rule trans :premises (@p325 @p323)) % 0.94/1.15 (step @p327 :rule true_elim :premises (@p326)) % 0.94/1.15 (step @p328 :rule cnf_or_pos :args (@t231)) % 0.94/1.15 (step @p329 :rule reordering :premises (@p328) :args ((or @t95 @t93 @t92 @t230 @t229 (not @t231)))) % 0.94/1.15 (step @p330 :rule chain_m_resolution :premises (@p329 @p97 @p91 @p298 @p327 @p316) :args (@t229 @t225 (@list @t94 @t89 @t91 @t226 @t231))) % 0.94/1.15 (step @p331 :rule cnf_and_pos :args (@t229 0)) % 0.94/1.15 (step @p332 :rule reordering :premises (@p331) :args ((or @t228 (not @t229)))) % 0.94/1.15 (step @p333 :rule chain_m_resolution :premises (@p332 @p330) :args (@t228 @t105 (@list @t229))) % 0.94/1.15 (step @p334 :rule refl :args (@t232)) % 0.94/1.15 (step @p335 :rule refl :args (@t233)) % 0.94/1.15 (step @p336 :rule bool-double-not-elim :args (@t119)) % 0.94/1.15 (step @p337 :rule refl :args (@t120)) % 0.94/1.15 (step @p338 :rule nary_cong :premises (@p337 @p336 @p335 @p334) :args ((or @t120 (not @t127) @t233 @t232))) % 0.94/1.15 (assume-push @p361 @t118) % 0.94/1.15 (assume-push @p362 @t127) % 0.94/1.15 (assume-push @p363 @t221) % 0.94/1.15 (step @p342 :rule false_intro :premises (@p124)) % 0.94/1.15 (step @p343 :rule symm :premises (@p315)) % 0.94/1.15 (step @p344 :rule refl :args (@t87)) % 0.94/1.15 (step @p345 :rule cong :premises (@p344 @p122) :args (@t227)) % 0.94/1.15 (step @p346 :rule trans :premises (@p345 @p343)) % 0.94/1.15 (step @p347 :rule cong :premises (@p324 @p346) :args (@t228)) % 0.94/1.15 (step @p348 :rule trans :premises (@p347 @p342)) % 0.94/1.15 (step @p349 :rule false_elim :premises (@p348)) % 0.94/1.15 (step-pop @p364 :rule scope :premises (@p349)) % 0.94/1.15 (step-pop @p365 :rule scope :premises (@p364)) % 0.94/1.15 (step-pop @p366 :rule scope :premises (@p365)) % 0.94/1.15 (step @p350 :rule process_scope :premises (@p366) :args (@t232)) % 0.94/1.15 (step @p354 :rule implies_elim :premises (@p350)) % 0.94/1.15 (step @p355 :rule cnf_and_neg :args (@t234)) % 0.94/1.15 (step @p356 :rule resolution :premises (@p355 @p354) :args (true @t234)) % 0.94/1.15 (step @p357 :rule eq_resolve :premises (@p356 @p338)) % 0.94/1.15 (step @p358 false :rule chain_m_resolution :premises (@p357 @p333 @p315 @p124 @p122) :args (false (@list false false true false) (@list @t228 @t221 @t119 @t118))) % 0.94/1.15 ) % 0.94/1.15 % SZS output end Proof % 0.94/1.15 % cvc5 exiting %------------------------------------------------------------------------------