%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PHI044_1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:43:16 AM UTC 2026 % Result : Unsatisfiable 16.02s 16.24s % Output : Proof 16.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PHI044_1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.34 % Computer : n026.cluster.edu % 0.19/0.34 % Model : x86_64 x86_64 % 0.19/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.34 % Memory : 8042.1875MB % 0.19/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.34 % CPULimit : 300 % 0.19/0.34 % WCLimit : 300 % 0.19/0.34 % DateTime : Tue Jun 2 12:54:40 EDT 2026 % 0.19/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/15.94 --- Run --no-e-matching --full-saturate-quant at 6... % 16.02/16.24 % SZS status Unsatisfiable % 16.02/16.24 % SZS output start Proof % 16.02/16.27 ( % 16.02/16.27 (declare-sort tptp.option 0) % 16.02/16.27 (declare-sort tptp.option_set 0) % 16.02/16.27 (declare-const tptp.required_preference (-> tptp.option tptp.option Bool)) % 16.02/16.27 (declare-const tptp.permitted_preference (-> tptp.option tptp.option Bool)) % 16.02/16.27 (declare-const tptp.better (-> tptp.option_set tptp.option_set Bool)) % 16.02/16.27 (declare-const tptp.weakly_better (-> tptp.option_set tptp.option_set Bool)) % 16.02/16.27 (declare-const tptp.subset (-> tptp.option_set tptp.option_set Bool)) % 16.02/16.27 (declare-const tptp.member (-> tptp.option tptp.option_set Bool)) % 16.02/16.27 (define @t1 () (@var "B" tptp.option_set)) % 16.02/16.27 (define @t2 () (@var "X" tptp.option)) % 16.02/16.27 (define @t3 () (tptp.member @t2 @t1)) % 16.02/16.27 (define @t4 () (@var "A" tptp.option_set)) % 16.02/16.27 (define @t5 () (tptp.member @t2 @t4)) % 16.02/16.27 (define @t6 () (@list @t2)) % 16.02/16.27 (define @t7 () (forall @t6 (=> @t5 @t3))) % 16.02/16.27 (define @t8 () (tptp.subset @t4 @t1)) % 16.02/16.27 (define @t9 () (= @t8 @t7)) % 16.02/16.27 (define @t10 () (forall (@list @t4 @t1) @t9)) % 16.02/16.27 (define @t11 () (@var "X" tptp.option_set)) % 16.02/16.27 (define @t12 () (@var "Y" tptp.option_set)) % 16.02/16.27 (define @t13 () (tptp.weakly_better @t12 @t11)) % 16.02/16.27 (define @t14 () (tptp.weakly_better @t11 @t12)) % 16.02/16.27 (define @t15 () (@list @t11 @t12)) % 16.02/16.27 (define @t16 () (@var "V" tptp.option_set)) % 16.02/16.27 (define @t17 () (@var "U" tptp.option_set)) % 16.02/16.27 (define @t18 () (tptp.better @t17 @t16)) % 16.02/16.27 (define @t19 () (@var "Z" tptp.option)) % 16.02/16.27 (define @t20 () (= @t19 @t2)) % 16.02/16.27 (define @t21 () (tptp.member @t19 @t16)) % 16.02/16.27 (define @t22 () (=> @t21 @t20)) % 16.02/16.27 (define @t23 () (@list @t19)) % 16.02/16.27 (define @t24 () (forall @t23 @t22)) % 16.02/16.27 (define @t25 () (@var "Y" tptp.option)) % 16.02/16.27 (define @t26 () (= @t19 @t25)) % 16.02/16.27 (define @t27 () (or @t20 @t26)) % 16.02/16.27 (define @t28 () (tptp.member @t19 @t17)) % 16.02/16.27 (define @t29 () (=> @t28 @t27)) % 16.02/16.27 (define @t30 () (forall @t23 @t29)) % 16.02/16.27 (define @t31 () (tptp.member @t2 @t16)) % 16.02/16.27 (define @t32 () (tptp.member @t25 @t17)) % 16.02/16.27 (define @t33 () (tptp.member @t2 @t17)) % 16.02/16.27 (define @t34 () (tptp.permitted_preference @t25 @t2)) % 16.02/16.27 (define @t35 () (tptp.permitted_preference @t2 @t25)) % 16.02/16.27 (define @t36 () (and @t35 @t34 @t33 @t32 @t31 @t30 @t24)) % 16.02/16.27 (define @t37 () (=> @t36 @t18)) % 16.02/16.27 (define @t38 () (@list @t2 @t25 @t17 @t16)) % 16.02/16.27 (define @t39 () (forall @t38 @t37)) % 16.02/16.27 (define @t40 () (not (tptp.better @t12 @t11))) % 16.02/16.27 (define @t41 () (@var "V" tptp.option)) % 16.02/16.27 (define @t42 () (@var "U" tptp.option)) % 16.02/16.27 (define @t43 () (tptp.required_preference @t42 @t41)) % 16.02/16.27 (define @t44 () (tptp.member @t41 @t11)) % 16.02/16.27 (define @t45 () (not @t44)) % 16.02/16.27 (define @t46 () (tptp.member @t41 @t12)) % 16.02/16.27 (define @t47 () (and @t46 @t45)) % 16.02/16.27 (define @t48 () (@list @t41)) % 16.02/16.27 (define @t49 () (forall @t48 (=> @t47 @t43))) % 16.02/16.27 (define @t50 () (tptp.member @t42 @t11)) % 16.02/16.27 (define @t51 () (and @t50 @t49)) % 16.02/16.27 (define @t52 () (@list @t42)) % 16.02/16.27 (define @t53 () (exists @t52 @t51)) % 16.02/16.27 (define @t54 () (tptp.subset @t11 @t12)) % 16.02/16.27 (define @t55 () (and @t54 @t53)) % 16.02/16.27 (define @t56 () (=> @t55 @t40)) % 16.02/16.27 (define @t57 () (forall @t15 @t56)) % 16.02/16.27 (define @t58 () (forall @t15 (=> @t54 @t13))) % 16.02/16.27 (define @t59 () (not @t18)) % 16.02/16.27 (define @t60 () (forall @t23 (= @t21 @t26))) % 16.02/16.27 (define @t61 () (= @t28 @t20)) % 16.02/16.27 (define @t62 () (forall @t23 @t61)) % 16.02/16.27 (define @t63 () (and @t62 @t60)) % 16.02/16.27 (define @t64 () (=> @t63 @t59)) % 16.02/16.27 (define @t65 () (forall @t38 @t64)) % 16.02/16.27 (define @t66 () (@var "Z" tptp.option_set)) % 16.02/16.27 (define @t67 () (tptp.weakly_better @t11 @t66)) % 16.02/16.27 (define @t68 () (tptp.weakly_better @t12 @t66)) % 16.02/16.27 (define @t69 () (and @t14 @t68)) % 16.02/16.27 (define @t70 () (@list @t11 @t12 @t66)) % 16.02/16.27 (define @t71 () (forall @t70 (=> @t69 @t67))) % 16.02/16.27 (define @t72 () (= @t42 @t19)) % 16.02/16.27 (define @t73 () (= @t42 @t25)) % 16.02/16.27 (define @t74 () (= @t42 @t2)) % 16.02/16.27 (define @t75 () (or @t74 @t73 @t72)) % 16.02/16.27 (define @t76 () (@var "D" tptp.option_set)) % 16.02/16.27 (define @t77 () (tptp.member @t42 @t76)) % 16.02/16.27 (define @t78 () (= @t77 @t75)) % 16.02/16.27 (define @t79 () (forall @t52 @t78)) % 16.02/16.27 (define @t80 () (or @t74 @t73)) % 16.02/16.27 (define @t81 () (@var "C" tptp.option_set)) % 16.02/16.27 (define @t82 () (tptp.member @t42 @t81)) % 16.02/16.27 (define @t83 () (= @t82 @t80)) % 16.02/16.27 (define @t84 () (forall @t52 @t83)) % 16.02/16.27 (define @t85 () (tptp.member @t42 @t1)) % 16.02/16.27 (define @t86 () (= @t85 @t72)) % 16.02/16.27 (define @t87 () (forall @t52 @t86)) % 16.02/16.27 (define @t88 () (tptp.member @t42 @t4)) % 16.02/16.27 (define @t89 () (= @t88 @t74)) % 16.02/16.27 (define @t90 () (forall @t52 @t89)) % 16.02/16.27 (define @t91 () (tptp.member @t19 @t76)) % 16.02/16.27 (define @t92 () (tptp.member @t25 @t76)) % 16.02/16.27 (define @t93 () (tptp.member @t2 @t76)) % 16.02/16.27 (define @t94 () (tptp.member @t25 @t81)) % 16.02/16.27 (define @t95 () (tptp.member @t2 @t81)) % 16.02/16.27 (define @t96 () (tptp.member @t19 @t1)) % 16.02/16.27 (define @t97 () (tptp.required_preference @t19 @t25)) % 16.02/16.27 (define @t98 () (tptp.required_preference @t19 @t2)) % 16.02/16.27 (define @t99 () (and @t35 @t34 @t98 @t97 @t5 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t87 @t84 @t79)) % 16.02/16.27 (define @t100 () (@list @t2 @t25 @t19 @t4 @t1 @t81 @t76)) % 16.02/16.27 (define @t101 () (exists @t100 @t99)) % 16.02/16.27 (define @t102 () (not @t68)) % 16.02/16.27 (define @t103 () (not @t14)) % 16.02/16.27 (define @t104 () (or @t103 @t102 @t67)) % 16.02/16.27 (define @t105 () (= @t19 @t42)) % 16.02/16.27 (define @t106 () (= @t25 @t42)) % 16.02/16.27 (define @t107 () (= @t2 @t42)) % 16.02/16.27 (define @t108 () (forall @t52 (= @t77 (or @t107 @t106 @t105)))) % 16.02/16.27 (define @t109 () (not @t108)) % 16.02/16.27 (define @t110 () (forall @t52 (= @t82 (or @t107 @t106)))) % 16.02/16.27 (define @t111 () (not @t110)) % 16.02/16.27 (define @t112 () (forall @t52 (= @t85 @t105))) % 16.02/16.27 (define @t113 () (not @t112)) % 16.02/16.27 (define @t114 () (forall @t52 (= @t88 @t107))) % 16.02/16.27 (define @t115 () (not @t114)) % 16.02/16.27 (define @t116 () (not @t91)) % 16.02/16.27 (define @t117 () (not @t92)) % 16.02/16.27 (define @t118 () (not @t93)) % 16.02/16.27 (define @t119 () (not @t94)) % 16.02/16.27 (define @t120 () (not @t95)) % 16.02/16.27 (define @t121 () (not @t96)) % 16.02/16.27 (define @t122 () (not @t5)) % 16.02/16.27 (define @t123 () (not @t97)) % 16.02/16.27 (define @t124 () (not @t98)) % 16.02/16.27 (define @t125 () (not @t34)) % 16.02/16.27 (define @t126 () (not @t35)) % 16.02/16.27 (define @t127 () (or @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t113 @t111 @t109)) % 16.02/16.27 (define @t128 () (forall @t100 @t127)) % 16.02/16.27 (define @t129 () (@quantifiers_skolemize @t128 6)) % 16.02/16.27 (define @t130 () (@quantifiers_skolemize @t128 5)) % 16.02/16.27 (define @t131 () (@list @t130 @t129)) % 16.02/16.27 (define @t132 () (tptp.member @t2 @t129)) % 16.02/16.27 (define @t133 () (forall @t6 (or (not (tptp.member @t2 @t130)) @t132))) % 16.02/16.27 (define @t134 () (@quantifiers_skolemize @t133 0)) % 16.02/16.27 (define @t135 () (tptp.member @t134 @t130)) % 16.02/16.27 (define @t136 () (tptp.member @t134 @t129)) % 16.02/16.27 (define @t137 () (not @t135)) % 16.02/16.27 (define @t138 () (or @t137 @t136)) % 16.02/16.27 (define @t139 () (and @t35 @t34 @t98 @t97 @t5 @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108)) % 16.02/16.27 (define @t140 () (forall @t100 (not @t139))) % 16.02/16.27 (define @t141 () (not @t140)) % 16.02/16.27 (define @t142 () (@quantifiers_skolemize @t128 2)) % 16.02/16.27 (define @t143 () (= @t42 @t142)) % 16.02/16.27 (define @t144 () (@quantifiers_skolemize @t128 1)) % 16.02/16.27 (define @t145 () (= @t42 @t144)) % 16.02/16.27 (define @t146 () (@quantifiers_skolemize @t128 0)) % 16.02/16.27 (define @t147 () (= @t42 @t146)) % 16.02/16.27 (define @t148 () (tptp.member @t42 @t129)) % 16.02/16.27 (define @t149 () (forall @t52 (= @t148 (or @t147 @t145 @t143)))) % 16.02/16.27 (define @t150 () (not @t149)) % 16.02/16.27 (define @t151 () (tptp.member @t42 @t130)) % 16.02/16.27 (define @t152 () (forall @t52 (= @t151 (or @t147 @t145)))) % 16.02/16.27 (define @t153 () (not @t152)) % 16.02/16.27 (define @t154 () (@quantifiers_skolemize @t128 4)) % 16.02/16.27 (define @t155 () (tptp.member @t42 @t154)) % 16.02/16.27 (define @t156 () (forall @t52 (= @t155 @t143))) % 16.02/16.27 (define @t157 () (not @t156)) % 16.02/16.27 (define @t158 () (@quantifiers_skolemize @t128 3)) % 16.02/16.27 (define @t159 () (tptp.member @t42 @t158)) % 16.02/16.27 (define @t160 () (forall @t52 (= @t159 @t147))) % 16.02/16.27 (define @t161 () (not @t160)) % 16.02/16.27 (define @t162 () (tptp.member @t142 @t129)) % 16.02/16.27 (define @t163 () (not @t162)) % 16.02/16.27 (define @t164 () (tptp.member @t144 @t129)) % 16.02/16.27 (define @t165 () (not @t164)) % 16.02/16.27 (define @t166 () (tptp.member @t146 @t129)) % 16.02/16.27 (define @t167 () (not @t166)) % 16.02/16.27 (define @t168 () (tptp.member @t144 @t130)) % 16.02/16.27 (define @t169 () (not @t168)) % 16.02/16.27 (define @t170 () (tptp.member @t146 @t130)) % 16.02/16.27 (define @t171 () (not @t170)) % 16.02/16.27 (define @t172 () (tptp.member @t142 @t154)) % 16.02/16.27 (define @t173 () (not @t172)) % 16.02/16.27 (define @t174 () (tptp.member @t146 @t158)) % 16.02/16.27 (define @t175 () (not @t174)) % 16.02/16.27 (define @t176 () (tptp.required_preference @t142 @t144)) % 16.02/16.27 (define @t177 () (not @t176)) % 16.02/16.27 (define @t178 () (tptp.required_preference @t142 @t146)) % 16.02/16.27 (define @t179 () (not @t178)) % 16.02/16.27 (define @t180 () (tptp.permitted_preference @t144 @t146)) % 16.02/16.27 (define @t181 () (not @t180)) % 16.02/16.27 (define @t182 () (tptp.permitted_preference @t146 @t144)) % 16.02/16.27 (define @t183 () (not @t182)) % 16.02/16.27 (define @t184 () (or @t183 @t181 @t179 @t177 @t175 @t173 @t171 @t169 @t167 @t165 @t163 @t161 @t157 @t153 @t150)) % 16.02/16.27 (define @t185 () (not @t184)) % 16.02/16.27 (define @t186 () (not @t128)) % 16.02/16.27 (define @t187 () (= @t142 @t42)) % 16.02/16.27 (define @t188 () (= @t144 @t42)) % 16.02/16.27 (define @t189 () (= @t146 @t42)) % 16.02/16.27 (define @t190 () (or @t189 @t188 @t187)) % 16.02/16.27 (define @t191 () (= @t148 @t190)) % 16.02/16.27 (define @t192 () (forall @t52 @t191)) % 16.02/16.27 (define @t193 () (not @t192)) % 16.02/16.27 (define @t194 () (or @t189 @t188)) % 16.02/16.27 (define @t195 () (= @t151 @t194)) % 16.02/16.27 (define @t196 () (forall @t52 @t195)) % 16.02/16.27 (define @t197 () (not @t196)) % 16.02/16.27 (define @t198 () (= @t155 @t187)) % 16.02/16.27 (define @t199 () (forall @t52 @t198)) % 16.02/16.27 (define @t200 () (not @t199)) % 16.02/16.27 (define @t201 () (= @t159 @t189)) % 16.02/16.27 (define @t202 () (forall @t52 @t201)) % 16.02/16.27 (define @t203 () (not @t202)) % 16.02/16.27 (define @t204 () (or @t183 @t181 @t179 @t177 @t175 @t173 @t171 @t169 @t167 @t165 @t163 @t203 @t200 @t197 @t193)) % 16.02/16.27 (define @t205 () (not @t204)) % 16.02/16.27 (define @t206 () (@list true)) % 16.02/16.27 (define @t207 () (@list @t184)) % 16.02/16.27 (define @t208 () (= @t146 @t134)) % 16.02/16.27 (define @t209 () (not @t208)) % 16.02/16.27 (define @t210 () (not @t136)) % 16.02/16.27 (define @t211 () (not @t210)) % 16.02/16.27 (define @t212 () (= false true)) % 16.02/16.27 (define @t213 () (and @t166 @t208 @t210)) % 16.02/16.27 (define @t214 () (= @t19 @t146)) % 16.02/16.27 (define @t215 () (not (tptp.member @t19 @t130))) % 16.02/16.27 (define @t216 () (forall @t23 (or @t215 @t214 (= @t19 @t144)))) % 16.02/16.27 (define @t217 () (@quantifiers_skolemize @t216 0)) % 16.02/16.27 (define @t218 () (tptp.member @t217 @t130)) % 16.02/16.27 (define @t219 () (= @t144 @t217)) % 16.02/16.27 (define @t220 () (= @t146 @t217)) % 16.02/16.27 (define @t221 () (not @t218)) % 16.02/16.27 (define @t222 () (or @t221 @t220 @t219)) % 16.02/16.27 (define @t223 () (= @t217 @t144)) % 16.02/16.27 (define @t224 () (= @t217 @t146)) % 16.02/16.27 (define @t225 () (or @t224 @t223)) % 16.02/16.27 (define @t226 () (= @t218 @t225)) % 16.02/16.27 (define @t227 () (or @t220 @t219)) % 16.02/16.27 (define @t228 () (= @t218 @t227)) % 16.02/16.27 (define @t229 () (@list false)) % 16.02/16.27 (define @t230 () (not @t222)) % 16.02/16.27 (define @t231 () (not @t216)) % 16.02/16.27 (define @t232 () (or @t221 @t224 @t223)) % 16.02/16.27 (define @t233 () (not @t232)) % 16.02/16.27 (define @t234 () (or @t137 (= @t134 @t146) (= @t134 @t144))) % 16.02/16.27 (define @t235 () (= @t144 @t134)) % 16.02/16.27 (define @t236 () (or @t137 @t208 @t235)) % 16.02/16.27 (define @t237 () (not @t235)) % 16.02/16.27 (define @t238 () (and @t164 @t235 @t210)) % 16.02/16.27 (define @t239 () (not @t138)) % 16.02/16.27 (define @t240 () (not @t133)) % 16.02/16.27 (define @t241 () (tptp.subset @t130 @t129)) % 16.02/16.27 (define @t242 () (= @t241 @t133)) % 16.02/16.27 (define @t243 () (@list false false)) % 16.02/16.27 (define @t244 () (tptp.weakly_better @t129 @t130)) % 16.02/16.27 (define @t245 () (not @t241)) % 16.02/16.27 (define @t246 () (or @t245 @t244)) % 16.02/16.27 (define @t247 () (@var "BOUND_VARIABLE_7588" tptp.option)) % 16.02/16.27 (define @t248 () (not @t46)) % 16.02/16.27 (define @t249 () (not (forall @t48 (or @t248 @t44 (tptp.required_preference @t247 @t41))))) % 16.02/16.27 (define @t250 () (not (tptp.member @t247 @t11))) % 16.02/16.27 (define @t251 () (not @t54)) % 16.02/16.27 (define @t252 () (or @t250 @t249)) % 16.02/16.27 (define @t253 () (or @t251 @t252 @t40)) % 16.02/16.27 (define @t254 () (forall (@list @t11 @t12 @t247) @t253)) % 16.02/16.27 (define @t255 () (@list @t247)) % 16.02/16.27 (define @t256 () (forall @t255 @t253)) % 16.02/16.27 (define @t257 () (forall @t255 @t252)) % 16.02/16.27 (define @t258 () (@list @t42)) % 16.02/16.27 (define @t259 () (or @t251 @t257 @t40)) % 16.02/16.27 (define @t260 () (or @t248 @t44 @t43)) % 16.02/16.27 (define @t261 () (forall @t48 @t260)) % 16.02/16.27 (define @t262 () (forall @t52 (or (not @t50) (not @t261)))) % 16.02/16.27 (define @t263 () (or @t251 @t262 @t40)) % 16.02/16.27 (define @t264 () (not @t262)) % 16.02/16.27 (define @t265 () (and @t54 @t264)) % 16.02/16.27 (define @t266 () (and @t50 @t261)) % 16.02/16.27 (define @t267 () (forall @t52 (not @t266))) % 16.02/16.27 (define @t268 () (not @t267)) % 16.02/16.27 (define @t269 () (forall @t48 (or (not (tptp.member @t41 @t129)) (tptp.member @t41 @t154) (tptp.required_preference @t142 @t41)))) % 16.02/16.27 (define @t270 () (@quantifiers_skolemize @t269 0)) % 16.02/16.27 (define @t271 () (tptp.member @t270 @t129)) % 16.02/16.27 (define @t272 () (tptp.required_preference @t142 @t270)) % 16.02/16.27 (define @t273 () (tptp.member @t270 @t154)) % 16.02/16.27 (define @t274 () (not @t271)) % 16.02/16.27 (define @t275 () (or @t274 @t273 @t272)) % 16.02/16.27 (define @t276 () (or (= @t270 @t146) (= @t270 @t144) (= @t270 @t142))) % 16.02/16.27 (define @t277 () (= @t271 @t276)) % 16.02/16.27 (define @t278 () (= @t142 @t270)) % 16.02/16.27 (define @t279 () (= @t144 @t270)) % 16.02/16.27 (define @t280 () (= @t146 @t270)) % 16.02/16.27 (define @t281 () (or @t280 @t279 @t278)) % 16.02/16.27 (define @t282 () (= @t271 @t281)) % 16.02/16.27 (define @t283 () (not @t280)) % 16.02/16.27 (define @t284 () (not @t272)) % 16.02/16.27 (define @t285 () (not @t284)) % 16.02/16.27 (define @t286 () (and @t178 @t280 @t284)) % 16.02/16.27 (define @t287 () (not @t279)) % 16.02/16.27 (define @t288 () (and @t176 @t279 @t284)) % 16.02/16.27 (define @t289 () (not @t278)) % 16.02/16.27 (define @t290 () (not @t273)) % 16.02/16.27 (define @t291 () (and @t172 @t278 @t290)) % 16.02/16.27 (define @t292 () (not @t275)) % 16.02/16.27 (define @t293 () (not @t269)) % 16.02/16.27 (define @t294 () (@list @t154 @t129)) % 16.02/16.27 (define @t295 () (forall @t6 (or (not (tptp.member @t2 @t154)) @t132))) % 16.02/16.27 (define @t296 () (@quantifiers_skolemize @t295 0)) % 16.02/16.27 (define @t297 () (tptp.member @t296 @t154)) % 16.02/16.27 (define @t298 () (tptp.member @t296 @t129)) % 16.02/16.27 (define @t299 () (not @t297)) % 16.02/16.27 (define @t300 () (or @t299 @t298)) % 16.02/16.27 (define @t301 () (= @t297 (= @t296 @t142))) % 16.02/16.27 (define @t302 () (= @t142 @t296)) % 16.02/16.27 (define @t303 () (= @t297 @t302)) % 16.02/16.27 (define @t304 () (@list @t156)) % 16.02/16.27 (define @t305 () (not @t302)) % 16.02/16.27 (define @t306 () (not @t298)) % 16.02/16.27 (define @t307 () (and @t162 @t302 @t306)) % 16.02/16.27 (define @t308 () (@list false false false true false)) % 16.02/16.27 (define @t309 () (not @t300)) % 16.02/16.27 (define @t310 () (not @t295)) % 16.02/16.27 (define @t311 () (tptp.subset @t154 @t129)) % 16.02/16.27 (define @t312 () (= @t311 @t295)) % 16.02/16.27 (define @t313 () (tptp.better @t129 @t154)) % 16.02/16.27 (define @t314 () (not @t313)) % 16.02/16.27 (define @t315 () (not @t311)) % 16.02/16.27 (define @t316 () (or @t315 @t314 @t173 @t293)) % 16.02/16.27 (define @t317 () (tptp.weakly_better @t154 @t129)) % 16.02/16.27 (define @t318 () (not @t317)) % 16.02/16.27 (define @t319 () (tptp.weakly_better @t129 @t154)) % 16.02/16.27 (define @t320 () (and @t319 @t318)) % 16.02/16.27 (define @t321 () (= @t313 @t320)) % 16.02/16.27 (define @t322 () (not @t320)) % 16.02/16.27 (define @t323 () (@list true false)) % 16.02/16.27 (define @t324 () (or @t315 @t319)) % 16.02/16.27 (define @t325 () (not @t319)) % 16.02/16.27 (define @t326 () (@list false true)) % 16.02/16.27 (define @t327 () (= @t25 @t19)) % 16.02/16.27 (define @t328 () (forall @t23 (= @t21 @t327))) % 16.02/16.27 (define @t329 () (not @t328)) % 16.02/16.27 (define @t330 () (= @t2 @t19)) % 16.02/16.27 (define @t331 () (forall @t23 (= @t28 @t330))) % 16.02/16.27 (define @t332 () (not @t331)) % 16.02/16.27 (define @t333 () (or @t332 @t329 @t59)) % 16.02/16.27 (define @t334 () (and @t331 @t328)) % 16.02/16.27 (define @t335 () (tptp.better @t154 @t158)) % 16.02/16.27 (define @t336 () (not @t335)) % 16.02/16.27 (define @t337 () (tptp.member @t19 @t158)) % 16.02/16.27 (define @t338 () (= @t146 @t19)) % 16.02/16.27 (define @t339 () (= @t337 @t338)) % 16.02/16.27 (define @t340 () (forall @t23 @t339)) % 16.02/16.27 (define @t341 () (not @t340)) % 16.02/16.27 (define @t342 () (tptp.member @t19 @t154)) % 16.02/16.27 (define @t343 () (= @t342 (= @t142 @t19))) % 16.02/16.27 (define @t344 () (forall @t23 @t343)) % 16.02/16.27 (define @t345 () (not @t344)) % 16.02/16.27 (define @t346 () (or @t345 @t341 @t336)) % 16.02/16.27 (define @t347 () (forall @t38 @t333)) % 16.02/16.27 (define @t348 () (forall @t23 (= @t337 @t214))) % 16.02/16.27 (define @t349 () (not @t348)) % 16.02/16.27 (define @t350 () (forall @t23 (= @t342 (= @t19 @t142)))) % 16.02/16.27 (define @t351 () (not @t350)) % 16.02/16.27 (define @t352 () (or @t351 @t349 @t336)) % 16.02/16.27 (define @t353 () (@list @t19)) % 16.02/16.27 (define @t354 () (@list @t160)) % 16.02/16.27 (define @t355 () (@list false false false)) % 16.02/16.27 (define @t356 () (tptp.weakly_better @t158 @t154)) % 16.02/16.27 (define @t357 () (not @t356)) % 16.02/16.27 (define @t358 () (tptp.weakly_better @t154 @t158)) % 16.02/16.27 (define @t359 () (and @t358 @t357)) % 16.02/16.27 (define @t360 () (= @t335 @t359)) % 16.02/16.27 (define @t361 () (not @t359)) % 16.02/16.27 (define @t362 () (@list @t158 @t129)) % 16.02/16.27 (define @t363 () (forall @t6 (or (not (tptp.member @t2 @t158)) @t132))) % 16.02/16.27 (define @t364 () (@quantifiers_skolemize @t363 0)) % 16.02/16.27 (define @t365 () (tptp.member @t364 @t158)) % 16.02/16.27 (define @t366 () (tptp.member @t364 @t129)) % 16.02/16.27 (define @t367 () (not @t365)) % 16.02/16.27 (define @t368 () (or @t367 @t366)) % 16.02/16.27 (define @t369 () (not @t337)) % 16.02/16.27 (define @t370 () (forall @t23 (or @t369 @t214))) % 16.02/16.27 (define @t371 () (@quantifiers_skolemize @t370 0)) % 16.02/16.27 (define @t372 () (tptp.member @t371 @t158)) % 16.02/16.27 (define @t373 () (= @t146 @t371)) % 16.02/16.27 (define @t374 () (not @t372)) % 16.02/16.27 (define @t375 () (or @t374 @t373)) % 16.02/16.27 (define @t376 () (= @t371 @t146)) % 16.02/16.27 (define @t377 () (= @t372 @t376)) % 16.02/16.27 (define @t378 () (= @t372 @t373)) % 16.02/16.27 (define @t379 () (not @t375)) % 16.02/16.27 (define @t380 () (not @t370)) % 16.02/16.27 (define @t381 () (or @t374 @t376)) % 16.02/16.27 (define @t382 () (not @t381)) % 16.02/16.27 (define @t383 () (or @t367 (= @t364 @t146))) % 16.02/16.27 (define @t384 () (= @t146 @t364)) % 16.02/16.27 (define @t385 () (or @t367 @t384)) % 16.02/16.27 (define @t386 () (not @t384)) % 16.02/16.27 (define @t387 () (not @t366)) % 16.02/16.27 (define @t388 () (and @t166 @t384 @t387)) % 16.02/16.27 (define @t389 () (not @t368)) % 16.02/16.27 (define @t390 () (not @t363)) % 16.02/16.27 (define @t391 () (tptp.subset @t158 @t129)) % 16.02/16.27 (define @t392 () (= @t391 @t363)) % 16.02/16.27 (define @t393 () (tptp.weakly_better @t129 @t158)) % 16.02/16.27 (define @t394 () (not @t391)) % 16.02/16.27 (define @t395 () (or @t394 @t393)) % 16.02/16.27 (define @t396 () (not @t393)) % 16.02/16.27 (define @t397 () (or @t318 @t396 @t358)) % 16.02/16.27 (define @t398 () (not @t358)) % 16.02/16.27 (define @t399 () (tptp.weakly_better @t158 @t129)) % 16.02/16.27 (define @t400 () (or @t357 @t318 @t399)) % 16.02/16.27 (define @t401 () (forall @t23 (or (not @t21) @t330))) % 16.02/16.27 (define @t402 () (not @t401)) % 16.02/16.27 (define @t403 () (not @t28)) % 16.02/16.27 (define @t404 () (or @t403 @t330 @t327)) % 16.02/16.27 (define @t405 () (forall @t23 @t404)) % 16.02/16.27 (define @t406 () (not @t405)) % 16.02/16.27 (define @t407 () (not @t31)) % 16.02/16.27 (define @t408 () (not @t32)) % 16.02/16.27 (define @t409 () (not @t33)) % 16.02/16.27 (define @t410 () (or @t126 @t125 @t409 @t408 @t407 @t406 @t402 @t18)) % 16.02/16.27 (define @t411 () (or @t126 @t125 @t409 @t408 @t407 @t406 @t402)) % 16.02/16.27 (define @t412 () (and @t35 @t34 @t33 @t32 @t31 @t405 @t401)) % 16.02/16.27 (define @t413 () (or @t330 @t327)) % 16.02/16.27 (define @t414 () (tptp.better @t130 @t158)) % 16.02/16.27 (define @t415 () (or @t369 @t338)) % 16.02/16.27 (define @t416 () (forall @t23 @t415)) % 16.02/16.27 (define @t417 () (not @t416)) % 16.02/16.27 (define @t418 () (or @t215 @t338 (= @t144 @t19))) % 16.02/16.27 (define @t419 () (forall @t23 @t418)) % 16.02/16.27 (define @t420 () (not @t419)) % 16.02/16.27 (define @t421 () (or @t183 @t181 @t171 @t169 @t175 @t420 @t417 @t414)) % 16.02/16.27 (define @t422 () (forall @t38 @t410)) % 16.02/16.27 (define @t423 () (or @t183 @t181 @t171 @t169 @t175 @t231 @t380 @t414)) % 16.02/16.27 (define @t424 () (tptp.weakly_better @t158 @t130)) % 16.02/16.27 (define @t425 () (not @t424)) % 16.02/16.27 (define @t426 () (and (tptp.weakly_better @t130 @t158) @t425)) % 16.02/16.27 (define @t427 () (= @t414 @t426)) % 16.02/16.27 (define @t428 () (not @t244)) % 16.02/16.27 (define @t429 () (not @t399)) % 16.02/16.27 (define @t430 () (or @t429 @t428 @t424)) % 16.02/16.27 (define @t431 () (not @t430)) % 16.02/16.27 (define @t432 () (forall @t70 @t104)) % 16.02/16.27 (assume @p1 @t10) % 16.02/16.27 (assume @p2 (forall @t15 (= (tptp.better @t11 @t12) (and @t14 (not @t13))))) % 16.02/16.27 (assume @p3 @t39) % 16.02/16.27 (assume @p4 @t57) % 16.02/16.27 (assume @p5 @t58) % 16.02/16.27 (assume @p6 @t65) % 16.02/16.27 (assume @p7 @t71) % 16.02/16.27 (assume @p8 @t101) % 16.02/16.27 (step @p9 :rule aci_norm :args ((= (or (or @t103 @t102) @t67) @t104))) % 16.02/16.27 (step @p10 :rule refl :args (@t67)) % 16.02/16.27 (step @p11 :rule bool-and-de-morgan :args (@t14 @t68 true)) % 16.02/16.27 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or (not @t69) @t67))) % 16.02/16.27 (step @p13 :rule trans :premises (@p12 @p9)) % 16.02/16.27 (step @p14 :rule bool-impl-elim :args (@t69 @t67)) % 16.02/16.27 (step @p15 :rule trans :premises (@p14 @p13)) % 16.02/16.27 (step @p16 :rule cong :premises (@p15) :args (@t71)) % 16.02/16.27 (step @p17 :rule eq_resolve :premises (@p7 @p16)) % 16.02/16.27 (step @p18 :rule bool-impl-elim :args (@t54 @t13)) % 16.02/16.27 (step @p19 :rule cong :premises (@p18) :args (@t58)) % 16.02/16.27 (step @p20 :rule eq_resolve :premises (@p5 @p19)) % 16.02/16.27 (step @p21 :rule instantiate :premises (@p20) :args (@t131)) % 16.02/16.27 (step @p22 :rule bool-impl-elim :args (@t5 @t3)) % 16.02/16.27 (step @p23 :rule cong :premises (@p22) :args (@t7)) % 16.02/16.27 (step @p24 :rule refl :args (@t8)) % 16.02/16.27 (step @p25 :rule cong :premises (@p24 @p23) :args (@t9)) % 16.02/16.27 (step @p26 :rule cong :premises (@p25) :args (@t10)) % 16.02/16.27 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 16.02/16.27 (step @p28 :rule instantiate :premises (@p27) :args (@t131)) % 16.02/16.27 (step @p29 :rule bool-double-not-elim :args (@t135)) % 16.02/16.27 (step @p30 :rule refl :args (@t138)) % 16.02/16.27 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t138 (not @t137)))) % 16.02/16.27 (step @p32 :rule cnf_or_neg :args (@t138 0)) % 16.02/16.27 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 16.02/16.27 (step @p34 :rule reordering :premises (@p33) :args ((or @t135 @t138))) % 16.02/16.27 (step @p35 :rule cnf_or_neg :args (@t138 1)) % 16.02/16.27 (step @p36 :rule aci_norm :args ((= (or @t126 (or @t125 (or @t124 (or @t123 (or @t122 (or @t121 (or @t120 (or @t119 (or @t118 (or @t117 (or @t116 (or @t115 (or @t113 (or @t111 @t109)))))))))))))) @t127))) % 16.02/16.27 (step @p37 :rule bool-and-de-morgan :args (@t110 @t108 true)) % 16.02/16.27 (step @p38 :rule refl :args (@t113)) % 16.02/16.27 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t113 (not (and @t110 @t108))))) % 16.02/16.27 (step @p40 :rule bool-and-de-morgan :args (@t112 @t110 (and @t108))) % 16.02/16.27 (step @p41 :rule trans :premises (@p40 @p39)) % 16.02/16.27 (step @p42 :rule refl :args (@t115)) % 16.02/16.27 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t115 (not (and @t112 @t110 @t108))))) % 16.02/16.27 (step @p44 :rule bool-and-de-morgan :args (@t114 @t112 (and @t110 @t108))) % 16.02/16.27 (step @p45 :rule trans :premises (@p44 @p43)) % 16.02/16.27 (step @p46 :rule refl :args (@t116)) % 16.02/16.27 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t116 (not (and @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p48 :rule bool-and-de-morgan :args (@t91 @t114 (and @t112 @t110 @t108))) % 16.02/16.27 (step @p49 :rule trans :premises (@p48 @p47)) % 16.02/16.27 (step @p50 :rule refl :args (@t117)) % 16.02/16.27 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t117 (not (and @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p52 :rule bool-and-de-morgan :args (@t92 @t91 (and @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p53 :rule trans :premises (@p52 @p51)) % 16.02/16.27 (step @p54 :rule refl :args (@t118)) % 16.02/16.27 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t118 (not (and @t92 @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p56 :rule bool-and-de-morgan :args (@t93 @t92 (and @t91 @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p57 :rule trans :premises (@p56 @p55)) % 16.02/16.27 (step @p58 :rule refl :args (@t119)) % 16.02/16.27 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t119 (not (and @t93 @t92 @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p60 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92 @t91 @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p61 :rule trans :premises (@p60 @p59)) % 16.02/16.27 (step @p62 :rule refl :args (@t120)) % 16.02/16.27 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t120 (not (and @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p64 :rule bool-and-de-morgan :args (@t95 @t94 (and @t93 @t92 @t91 @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p65 :rule trans :premises (@p64 @p63)) % 16.02/16.27 (step @p66 :rule refl :args (@t121)) % 16.02/16.27 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t121 (not (and @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p68 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p69 :rule trans :premises (@p68 @p67)) % 16.02/16.27 (step @p70 :rule refl :args (@t122)) % 16.02/16.27 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t122 (not (and @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p72 :rule bool-and-de-morgan :args (@t5 @t96 (and @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p73 :rule trans :premises (@p72 @p71)) % 16.02/16.27 (step @p74 :rule refl :args (@t123)) % 16.02/16.27 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t123 (not (and @t5 @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p76 :rule bool-and-de-morgan :args (@t97 @t5 (and @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p77 :rule trans :premises (@p76 @p75)) % 16.02/16.27 (step @p78 :rule refl :args (@t124)) % 16.02/16.27 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t124 (not (and @t97 @t5 @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p80 :rule bool-and-de-morgan :args (@t98 @t97 (and @t5 @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p81 :rule trans :premises (@p80 @p79)) % 16.02/16.27 (step @p82 :rule refl :args (@t125)) % 16.02/16.27 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t125 (not (and @t98 @t97 @t5 @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p84 :rule bool-and-de-morgan :args (@t34 @t98 (and @t97 @t5 @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p85 :rule trans :premises (@p84 @p83)) % 16.02/16.27 (step @p86 :rule refl :args (@t126)) % 16.02/16.27 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t126 (not (and @t34 @t98 @t97 @t5 @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))))) % 16.02/16.27 (step @p88 :rule bool-and-de-morgan :args (@t35 @t34 (and @t98 @t97 @t5 @t96 @t95 @t94 @t93 @t92 @t91 @t114 @t112 @t110 @t108))) % 16.02/16.27 (step @p89 :rule trans :premises (@p88 @p87)) % 16.02/16.27 (step @p90 :rule trans :premises (@p89 @p36)) % 16.02/16.27 (step @p91 :rule cong :premises (@p90) :args (@t140)) % 16.02/16.27 (step @p92 :rule cong :premises (@p91) :args (@t141)) % 16.02/16.27 (step @p93 :rule exists-elim :args ((= (exists @t100 @t139) @t141))) % 16.02/16.27 (step @p94 :rule trans :premises (@p93 @p92)) % 16.02/16.27 (step @p95 :rule eq-symm :args (@t42 @t19)) % 16.02/16.27 (step @p96 :rule eq-symm :args (@t42 @t25)) % 16.02/16.27 (step @p97 :rule eq-symm :args (@t42 @t2)) % 16.02/16.27 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args (@t75)) % 16.02/16.27 (step @p99 :rule refl :args (@t77)) % 16.02/16.27 (step @p100 :rule cong :premises (@p99 @p98) :args (@t78)) % 16.02/16.27 (step @p101 :rule cong :premises (@p100) :args (@t79)) % 16.02/16.27 (step @p102 :rule nary_cong :premises (@p97 @p96) :args (@t80)) % 16.02/16.27 (step @p103 :rule refl :args (@t82)) % 16.02/16.27 (step @p104 :rule cong :premises (@p103 @p102) :args (@t83)) % 16.02/16.27 (step @p105 :rule cong :premises (@p104) :args (@t84)) % 16.02/16.27 (step @p106 :rule refl :args (@t85)) % 16.02/16.27 (step @p107 :rule cong :premises (@p106 @p95) :args (@t86)) % 16.02/16.27 (step @p108 :rule cong :premises (@p107) :args (@t87)) % 16.02/16.27 (step @p109 :rule refl :args (@t88)) % 16.02/16.27 (step @p110 :rule cong :premises (@p109 @p97) :args (@t89)) % 16.02/16.27 (step @p111 :rule cong :premises (@p110) :args (@t90)) % 16.02/16.27 (step @p112 :rule refl :args (@t91)) % 16.02/16.27 (step @p113 :rule refl :args (@t92)) % 16.02/16.27 (step @p114 :rule refl :args (@t93)) % 16.02/16.27 (step @p115 :rule refl :args (@t94)) % 16.02/16.27 (step @p116 :rule refl :args (@t95)) % 16.02/16.27 (step @p117 :rule refl :args (@t96)) % 16.02/16.27 (step @p118 :rule refl :args (@t5)) % 16.02/16.27 (step @p119 :rule refl :args (@t97)) % 16.02/16.27 (step @p120 :rule refl :args (@t98)) % 16.02/16.27 (step @p121 :rule refl :args (@t34)) % 16.02/16.27 (step @p122 :rule refl :args (@t35)) % 16.02/16.27 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p108 @p105 @p101) :args (@t99)) % 16.02/16.27 (step @p124 :rule cong :premises (@p123) :args (@t101)) % 16.02/16.27 (step @p125 :rule trans :premises (@p124 @p94)) % 16.02/16.27 (step @p126 :rule eq_resolve :premises (@p8 @p125)) % 16.02/16.27 (step @p127 :rule refl :args (@t185)) % 16.02/16.27 (step @p128 :rule bool-double-not-elim :args (@t128)) % 16.02/16.27 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t186) @t185))) % 16.02/16.27 (step @p130 :rule eq-symm :args (@t142 @t42)) % 16.02/16.27 (step @p131 :rule eq-symm :args (@t144 @t42)) % 16.02/16.27 (step @p132 :rule eq-symm :args (@t146 @t42)) % 16.02/16.27 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args (@t190)) % 16.02/16.27 (step @p134 :rule refl :args (@t148)) % 16.02/16.27 (step @p135 :rule cong :premises (@p134 @p133) :args (@t191)) % 16.02/16.27 (step @p136 :rule cong :premises (@p135) :args (@t192)) % 16.02/16.27 (step @p137 :rule cong :premises (@p136) :args (@t193)) % 16.02/16.27 (step @p138 :rule nary_cong :premises (@p132 @p131) :args (@t194)) % 16.02/16.27 (step @p139 :rule refl :args (@t151)) % 16.02/16.27 (step @p140 :rule cong :premises (@p139 @p138) :args (@t195)) % 16.02/16.27 (step @p141 :rule cong :premises (@p140) :args (@t196)) % 16.02/16.27 (step @p142 :rule cong :premises (@p141) :args (@t197)) % 16.02/16.27 (step @p143 :rule refl :args (@t155)) % 16.02/16.27 (step @p144 :rule cong :premises (@p143 @p130) :args (@t198)) % 16.02/16.27 (step @p145 :rule cong :premises (@p144) :args (@t199)) % 16.02/16.27 (step @p146 :rule cong :premises (@p145) :args (@t200)) % 16.02/16.27 (step @p147 :rule refl :args (@t159)) % 16.02/16.27 (step @p148 :rule cong :premises (@p147 @p132) :args (@t201)) % 16.02/16.27 (step @p149 :rule cong :premises (@p148) :args (@t202)) % 16.02/16.27 (step @p150 :rule cong :premises (@p149) :args (@t203)) % 16.02/16.27 (step @p151 :rule refl :args (@t163)) % 16.02/16.27 (step @p152 :rule refl :args (@t165)) % 16.02/16.27 (step @p153 :rule refl :args (@t167)) % 16.02/16.27 (step @p154 :rule refl :args (@t169)) % 16.02/16.27 (step @p155 :rule refl :args (@t171)) % 16.02/16.27 (step @p156 :rule refl :args (@t173)) % 16.02/16.27 (step @p157 :rule refl :args (@t175)) % 16.02/16.27 (step @p158 :rule refl :args (@t177)) % 16.02/16.27 (step @p159 :rule refl :args (@t179)) % 16.02/16.27 (step @p160 :rule refl :args (@t181)) % 16.02/16.27 (step @p161 :rule refl :args (@t183)) % 16.02/16.27 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p146 @p142 @p137) :args (@t204)) % 16.02/16.27 (step @p163 :rule cong :premises (@p162) :args (@t205)) % 16.02/16.27 (step @p164 :rule refl :args (@t186)) % 16.02/16.27 (step @p165 :rule cong :premises (@p164 @p163) :args ((=> @t186 @t205))) % 16.02/16.27 (assume-push @p933 @t186) % 16.02/16.27 (step @p167 :rule skolemize :premises (@p126)) % 16.02/16.27 (step-pop @p934 :rule scope :premises (@p167)) % 16.02/16.27 (step @p168 :rule process_scope :premises (@p934) :args (@t205)) % 16.02/16.27 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 16.02/16.27 (step @p171 :rule implies_elim :premises (@p170)) % 16.02/16.27 (step @p172 :rule eq_resolve :premises (@p171 @p129)) % 16.02/16.27 (step @p173 :rule chain_m_resolution :premises (@p172 @p126) :args (@t185 @t206 (@list @t128))) % 16.02/16.27 (step @p174 :rule bool-double-not-elim :args (@t166)) % 16.02/16.27 (step @p175 :rule refl :args (@t184)) % 16.02/16.27 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t184 (not @t167)))) % 16.02/16.27 (step @p177 :rule cnf_or_neg :args (@t184 8)) % 16.02/16.27 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 16.02/16.27 (step @p179 :rule reordering :premises (@p178) :args ((or @t166 @t184))) % 16.02/16.27 (step @p180 :rule chain_m_resolution :premises (@p179 @p173) :args (@t166 @t206 @t207)) % 16.02/16.27 (step @p181 :rule refl :args (@t209)) % 16.02/16.27 (step @p182 :rule bool-double-not-elim :args (@t136)) % 16.02/16.27 (step @p183 :rule nary_cong :premises (@p153 @p182 @p181) :args ((or @t167 @t211 @t209))) % 16.02/16.27 (assume-push @p935 @t166) % 16.02/16.27 (assume-push @p936 @t208) % 16.02/16.27 (assume-push @p937 @t210) % 16.02/16.27 (step @p187 :rule evaluate :args (@t212)) % 16.02/16.27 (step @p188 :rule true_intro :premises (@p180)) % 16.02/16.27 (step @p189 :rule refl :args (@t129)) % 16.02/16.27 (step @p190 :rule symm :premises (@p936)) % 16.02/16.27 (step @p191 :rule cong :premises (@p190 @p189) :args (@t136)) % 16.02/16.27 (step @p192 :rule false_intro :premises (@p937)) % 16.02/16.27 (step @p193 :rule symm :premises (@p192)) % 16.02/16.27 (step @p194 :rule trans :premises (@p193 @p191 @p188)) % 16.02/16.27 (step @p195 false :rule eq_resolve :premises (@p194 @p187)) % 16.02/16.27 (step-pop @p938 :rule scope :premises (@p195)) % 16.02/16.27 (step-pop @p939 :rule scope :premises (@p938)) % 16.02/16.27 (step-pop @p940 :rule scope :premises (@p939)) % 16.02/16.27 (step @p196 :rule process_scope :premises (@p940) :args (false)) % 16.02/16.27 (assume-push @p941 @t166) % 16.02/16.27 (assume-push @p942 @t210) % 16.02/16.27 (assume-push @p943 @t208) % 16.02/16.27 (step @p203 :rule and_intro :premises (@p180 @p943 @p942)) % 16.02/16.27 (step-pop @p944 :rule scope :premises (@p203)) % 16.02/16.27 (step-pop @p945 :rule scope :premises (@p944)) % 16.02/16.27 (step-pop @p946 :rule scope :premises (@p945)) % 16.02/16.27 (step @p204 :rule process_scope :premises (@p946) :args (@t213)) % 16.02/16.27 (step @p208 :rule implies_elim :premises (@p204)) % 16.02/16.27 (step @p209 :rule resolution :premises (@p208 @p196) :args (true @t213)) % 16.02/16.27 (step @p210 :rule not_and :premises (@p209)) % 16.02/16.27 (step @p211 :rule eq_resolve :premises (@p210 @p183)) % 16.02/16.27 (step @p212 :rule bool-double-not-elim :args (@t218)) % 16.02/16.27 (step @p213 :rule refl :args (@t222)) % 16.02/16.27 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or @t222 (not @t221)))) % 16.02/16.27 (step @p215 :rule cnf_or_neg :args (@t222 0)) % 16.02/16.27 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 16.02/16.27 (step @p217 :rule reordering :premises (@p216) :args ((or @t218 @t222))) % 16.02/16.27 (step @p218 :rule cnf_or_neg :args (@t222 1)) % 16.02/16.27 (step @p219 :rule cnf_or_neg :args (@t222 2)) % 16.02/16.27 (step @p220 :rule bool-double-not-elim :args (@t152)) % 16.02/16.27 (step @p221 :rule nary_cong :premises (@p175 @p220) :args ((or @t184 (not @t153)))) % 16.02/16.27 (step @p222 :rule cnf_or_neg :args (@t184 13)) % 16.02/16.27 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 16.02/16.27 (step @p224 :rule reordering :premises (@p223) :args ((or @t152 @t184))) % 16.02/16.27 (step @p225 :rule chain_m_resolution :premises (@p224 @p173) :args (@t152 @t206 @t207)) % 16.02/16.27 (step @p226 :rule eq-symm :args (@t217 @t144)) % 16.02/16.27 (step @p227 :rule eq-symm :args (@t217 @t146)) % 16.02/16.27 (step @p228 :rule nary_cong :premises (@p227 @p226) :args (@t225)) % 16.02/16.27 (step @p229 :rule refl :args (@t218)) % 16.02/16.27 (step @p230 :rule cong :premises (@p229 @p228) :args (@t226)) % 16.02/16.27 (step @p231 :rule refl :args (@t152)) % 16.02/16.27 (step @p232 :rule cong :premises (@p231 @p230) :args ((=> @t152 @t226))) % 16.02/16.27 (assume-push @p947 @t152) % 16.02/16.27 (step @p234 :rule instantiate :premises (@p225) :args ((@list @t217))) % 16.02/16.27 (step-pop @p948 :rule scope :premises (@p234)) % 16.02/16.27 (step @p235 :rule process_scope :premises (@p948) :args (@t226)) % 16.02/16.27 (step @p237 :rule eq_resolve :premises (@p235 @p232)) % 16.02/16.27 (step @p238 :rule implies_elim :premises (@p237)) % 16.02/16.27 (step @p239 :rule chain_m_resolution :premises (@p238 @p225) :args (@t228 @t229 (@list @t152))) % 16.02/16.27 (step @p240 :rule cnf_equiv_pos1 :args (@t228)) % 16.02/16.27 (step @p241 :rule reordering :premises (@p240) :args ((or @t221 @t227 (not @t228)))) % 16.02/16.27 (step @p242 :rule cnf_or_pos :args (@t227)) % 16.02/16.27 (step @p243 :rule reordering :premises (@p242) :args ((or @t220 @t219 (not @t227)))) % 16.02/16.27 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p239 @p219 @p218 @p217) :args (@t222 (@list false false true true false) (@list @t227 @t228 @t219 @t220 @t218))) % 16.02/16.27 (step @p245 :rule refl :args (@t230)) % 16.02/16.27 (step @p246 :rule bool-double-not-elim :args (@t216)) % 16.02/16.27 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or (not @t231) @t230))) % 16.02/16.27 (step @p248 :rule refl :args (@t221)) % 16.02/16.27 (step @p249 :rule nary_cong :premises (@p248 @p227 @p226) :args (@t232)) % 16.02/16.27 (step @p250 :rule cong :premises (@p249) :args (@t233)) % 16.02/16.27 (step @p251 :rule refl :args (@t231)) % 16.02/16.27 (step @p252 :rule cong :premises (@p251 @p250) :args ((=> @t231 @t233))) % 16.02/16.27 (assume-push @p949 @t231) % 16.02/16.27 (step @p254 :rule skolemize :premises (@p949)) % 16.02/16.27 (step-pop @p950 :rule scope :premises (@p254)) % 16.02/16.27 (step @p255 :rule process_scope :premises (@p950) :args (@t233)) % 16.02/16.27 (step @p257 :rule eq_resolve :premises (@p255 @p252)) % 16.02/16.27 (step @p258 :rule implies_elim :premises (@p257)) % 16.02/16.27 (step @p259 :rule eq_resolve :premises (@p258 @p247)) % 16.02/16.27 (step @p260 :rule chain_m_resolution :premises (@p259 @p244) :args (@t216 @t229 (@list @t222))) % 16.02/16.27 (step @p261 :rule eq-symm :args (@t134 @t144)) % 16.02/16.27 (step @p262 :rule eq-symm :args (@t134 @t146)) % 16.02/16.27 (step @p263 :rule refl :args (@t137)) % 16.02/16.27 (step @p264 :rule nary_cong :premises (@p263 @p262 @p261) :args (@t234)) % 16.02/16.27 (step @p265 :rule refl :args (@t216)) % 16.02/16.27 (step @p266 :rule cong :premises (@p265 @p264) :args ((=> @t216 @t234))) % 16.02/16.27 (assume-push @p951 @t216) % 16.02/16.27 (step @p268 :rule instantiate :premises (@p951) :args ((@list @t134))) % 16.02/16.27 (step-pop @p952 :rule scope :premises (@p268)) % 16.02/16.27 (step @p269 :rule process_scope :premises (@p952) :args (@t234)) % 16.02/16.27 (step @p271 :rule eq_resolve :premises (@p269 @p266)) % 16.02/16.27 (step @p272 :rule implies_elim :premises (@p271)) % 16.02/16.27 (step @p273 :rule chain_m_resolution :premises (@p272 @p260) :args (@t236 @t229 (@list @t216))) % 16.02/16.27 (step @p274 :rule cnf_or_pos :args (@t236)) % 16.02/16.27 (step @p275 :rule reordering :premises (@p274) :args ((or @t137 @t208 @t235 (not @t236)))) % 16.02/16.27 (step @p276 :rule bool-double-not-elim :args (@t164)) % 16.02/16.27 (step @p277 :rule nary_cong :premises (@p175 @p276) :args ((or @t184 (not @t165)))) % 16.02/16.27 (step @p278 :rule cnf_or_neg :args (@t184 9)) % 16.02/16.27 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 16.02/16.27 (step @p280 :rule reordering :premises (@p279) :args ((or @t164 @t184))) % 16.02/16.27 (step @p281 :rule chain_m_resolution :premises (@p280 @p173) :args (@t164 @t206 @t207)) % 16.02/16.27 (step @p282 :rule refl :args (@t237)) % 16.02/16.27 (step @p283 :rule nary_cong :premises (@p152 @p182 @p282) :args ((or @t165 @t211 @t237))) % 16.02/16.27 (assume-push @p953 @t164) % 16.02/16.27 (assume-push @p954 @t235) % 16.02/16.27 (assume-push @p955 @t210) % 16.02/16.27 (step @p187 :rule evaluate :args (@t212)) % 16.02/16.27 (step @p287 :rule true_intro :premises (@p281)) % 16.02/16.27 (step @p189 :rule refl :args (@t129)) % 16.02/16.27 (step @p288 :rule symm :premises (@p954)) % 16.02/16.27 (step @p289 :rule cong :premises (@p288 @p189) :args (@t136)) % 16.02/16.27 (step @p290 :rule false_intro :premises (@p955)) % 16.02/16.27 (step @p291 :rule symm :premises (@p290)) % 16.02/16.27 (step @p292 :rule trans :premises (@p291 @p289 @p287)) % 16.02/16.27 (step @p293 false :rule eq_resolve :premises (@p292 @p187)) % 16.02/16.27 (step-pop @p956 :rule scope :premises (@p293)) % 16.02/16.27 (step-pop @p957 :rule scope :premises 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:rule refl :args (@t129)) % 16.02/16.28 (step @p761 :rule symm :premises (@p1032)) % 16.02/16.28 (step @p762 :rule cong :premises (@p761 @p189) :args (@t366)) % 16.02/16.28 (step @p763 :rule false_intro :premises (@p1033)) % 16.02/16.28 (step @p764 :rule symm :premises (@p763)) % 16.02/16.28 (step @p765 :rule trans :premises (@p764 @p762 @p188)) % 16.02/16.28 (step @p766 false :rule eq_resolve :premises (@p765 @p187)) % 16.02/16.28 (step-pop @p1034 :rule scope :premises (@p766)) % 16.02/16.28 (step-pop @p1035 :rule scope :premises (@p1034)) % 16.02/16.28 (step-pop @p1036 :rule scope :premises (@p1035)) % 16.02/16.28 (step @p767 :rule process_scope :premises (@p1036) :args (false)) % 16.02/16.28 (assume-push @p1037 @t166) % 16.02/16.28 (assume-push @p1038 @t387) % 16.02/16.28 (assume-push @p1039 @t384) % 16.02/16.28 (step @p774 :rule and_intro :premises (@p180 @p1039 @p1038)) % 16.02/16.28 (step-pop @p1040 :rule scope :premises (@p774)) % 16.02/16.28 (step-pop @p1041 :rule scope :premises (@p1040)) % 16.02/16.28 (step-pop @p1042 :rule scope :premises (@p1041)) % 16.02/16.28 (step @p775 :rule process_scope :premises (@p1042) :args (@t388)) % 16.02/16.28 (step @p779 :rule implies_elim :premises (@p775)) % 16.02/16.28 (step @p780 :rule resolution :premises (@p779 @p767) :args (true @t388)) % 16.02/16.28 (step @p781 :rule not_and :premises (@p780)) % 16.02/16.28 (step @p782 :rule eq_resolve :premises (@p781 @p757)) % 16.02/16.28 (step @p783 :rule chain_m_resolution :premises (@p782 @p180 @p754 @p752 @p702 @p701) :args (@t368 @t308 (@list @t166 @t384 @t385 @t366 @t365))) % 16.02/16.28 (step @p784 :rule refl :args (@t389)) % 16.02/16.28 (step @p785 :rule bool-double-not-elim :args (@t363)) % 16.02/16.28 (step @p786 :rule nary_cong :premises (@p785 @p784) :args ((or (not @t390) @t389))) % 16.02/16.28 (assume-push @p1043 @t390) % 16.02/16.28 (step @p788 :rule skolemize :premises (@p1043)) % 16.02/16.28 (step-pop @p1044 :rule scope :premises (@p788)) % 16.02/16.28 (step @p789 :rule process_scope :premises (@p1044) :args (@t389)) % 16.02/16.28 (step @p791 :rule implies_elim :premises (@p789)) % 16.02/16.28 (step @p792 :rule eq_resolve :premises (@p791 @p786)) % 16.02/16.28 (step @p793 :rule chain_m_resolution :premises (@p792 @p783) :args (@t363 @t229 (@list @t368))) % 16.02/16.28 (step @p794 :rule cnf_equiv_pos2 :args (@t392)) % 16.02/16.28 (step @p795 :rule reordering :premises (@p794) :args ((or @t391 @t390 (not @t392)))) % 16.02/16.28 (step @p796 :rule chain_m_resolution :premises (@p795 @p793 @p695) :args (@t391 @t243 (@list @t363 @t392))) % 16.02/16.28 (step @p797 :rule cnf_or_pos :args (@t395)) % 16.02/16.28 (step @p798 :rule reordering :premises (@p797) :args ((or @t393 @t394 (not @t395)))) % 16.02/16.28 (step @p799 :rule chain_m_resolution :premises (@p798 @p796 @p694) :args (@t393 @t243 (@list @t391 @t395))) % 16.02/16.28 (step @p800 :rule cnf_or_pos :args (@t397)) % 16.02/16.28 (step @p801 :rule reordering :premises (@p800) :args ((or @t358 @t396 @t318 (not @t397)))) % 16.02/16.28 (step @p802 :rule chain_m_resolution :premises (@p801 @p799 @p626 @p693) :args (@t358 @t355 (@list @t393 @t317 @t397))) % 16.02/16.28 (step @p803 :rule bool-double-not-elim :args (@t356)) % 16.02/16.28 (step @p804 :rule refl :args (@t398)) % 16.02/16.28 (step @p805 :rule refl :args (@t359)) % 16.02/16.28 (step @p806 :rule nary_cong :premises (@p805 @p804 @p803) :args ((or @t359 @t398 (not @t357)))) % 16.02/16.28 (step @p807 :rule cnf_and_neg :args (@t359)) % 16.02/16.28 (step @p808 :rule eq_resolve :premises (@p807 @p806)) % 16.02/16.28 (step @p809 :rule reordering :premises (@p808) :args ((or @t356 @t398 @t359))) % 16.02/16.28 (step @p810 :rule chain_m_resolution :premises (@p809 @p802 @p692) :args (@t356 @t326 (@list @t358 @t359))) % 16.02/16.28 (step @p811 :rule cnf_or_pos :args (@t400)) % 16.02/16.28 (step @p812 :rule reordering :premises (@p811) :args ((or @t357 @t399 @t318 (not @t400)))) % 16.02/16.28 (step @p813 :rule chain_m_resolution :premises (@p812 @p810 @p626 @p327) :args (@t399 @t355 (@list @t356 @t317 @t400))) % 16.02/16.28 (step @p814 :rule instantiate :premises (@p2) :args ((@list @t130 @t158))) % 16.02/16.28 (step @p815 :rule aci_norm :args ((= (or @t411 @t18) @t410))) % 16.02/16.28 (step @p816 :rule refl :args (@t18)) % 16.02/16.28 (step @p817 :rule aci_norm :args ((= (or @t126 (or @t125 (or @t409 (or @t408 (or @t407 (or @t406 @t402)))))) @t411))) % 16.02/16.28 (step @p818 :rule bool-and-de-morgan :args (@t405 @t401 true)) % 16.02/16.28 (step @p819 :rule refl :args (@t407)) % 16.02/16.28 (step @p820 :rule nary_cong :premises (@p819 @p818) :args ((or @t407 (not (and @t405 @t401))))) % 16.02/16.28 (step @p821 :rule bool-and-de-morgan :args (@t31 @t405 (and @t401))) % 16.02/16.28 (step @p822 :rule trans :premises (@p821 @p820)) % 16.02/16.28 (step @p823 :rule refl :args (@t408)) % 16.02/16.28 (step @p824 :rule nary_cong :premises (@p823 @p822) :args ((or @t408 (not (and @t31 @t405 @t401))))) % 16.02/16.28 (step @p825 :rule bool-and-de-morgan :args (@t32 @t31 (and @t405 @t401))) % 16.02/16.28 (step @p826 :rule trans :premises (@p825 @p824)) % 16.02/16.28 (step @p827 :rule refl :args (@t409)) % 16.02/16.28 (step @p828 :rule nary_cong :premises (@p827 @p826) :args ((or @t409 (not (and @t32 @t31 @t405 @t401))))) % 16.02/16.28 (step @p829 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31 @t405 @t401))) % 16.02/16.28 (step @p830 :rule trans :premises (@p829 @p828)) % 16.02/16.28 (step @p831 :rule nary_cong :premises (@p82 @p830) :args ((or @t125 (not (and @t33 @t32 @t31 @t405 @t401))))) % 16.02/16.28 (step @p832 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32 @t31 @t405 @t401))) % 16.02/16.28 (step @p833 :rule trans :premises (@p832 @p831)) % 16.02/16.28 (step @p834 :rule nary_cong :premises (@p86 @p833) :args ((or @t126 (not (and @t34 @t33 @t32 @t31 @t405 @t401))))) % 16.02/16.28 (step @p835 :rule bool-and-de-morgan :args (@t35 @t34 (and @t33 @t32 @t31 @t405 @t401))) % 16.02/16.28 (step @p836 :rule trans :premises (@p835 @p834)) % 16.02/16.28 (step @p837 :rule trans :premises (@p836 @p817)) % 16.02/16.28 (step @p838 :rule nary_cong :premises (@p837 @p816) :args ((or (not @t412) @t18))) % 16.02/16.28 (step @p839 :rule trans :premises (@p838 @p815)) % 16.02/16.28 (step @p840 :rule bool-impl-elim :args (@t412 @t18)) % 16.02/16.28 (step @p841 :rule trans :premises (@p840 @p839)) % 16.02/16.28 (step @p842 :rule cong :premises (@p841) :args ((forall @t38 (=> @t412 @t18)))) % 16.02/16.28 (step @p843 :rule refl :args (@t18)) % 16.02/16.28 (step @p844 :rule bool-impl-elim :args (@t21 @t330)) % 16.02/16.28 (step @p845 :rule cong :premises (@p844) :args ((forall @t23 (=> @t21 @t330)))) % 16.02/16.28 (step @p846 :rule cong :premises (@p638 @p645) :args (@t22)) % 16.02/16.28 (step @p847 :rule cong :premises (@p846) :args (@t24)) % 16.02/16.28 (step @p848 :rule trans :premises (@p847 @p845)) % 16.02/16.28 (step @p849 :rule aci_norm :args ((= (or @t403 @t413) @t404))) % 16.02/16.28 (step @p850 :rule bool-impl-elim :args (@t28 @t413)) % 16.02/16.28 (step @p851 :rule trans :premises (@p850 @p849)) % 16.02/16.28 (step @p852 :rule cong :premises (@p851) :args ((forall @t23 (=> @t28 @t413)))) % 16.02/16.28 (step @p853 :rule nary_cong :premises (@p645 @p639) :args (@t27)) % 16.02/16.28 (step @p854 :rule cong :premises (@p646 @p853) :args (@t29)) % 16.02/16.28 (step @p855 :rule cong :premises (@p854) :args (@t30)) % 16.02/16.28 (step @p856 :rule trans :premises (@p855 @p852)) % 16.02/16.28 (step @p857 :rule refl :args (@t31)) % 16.02/16.28 (step @p858 :rule refl :args (@t32)) % 16.02/16.28 (step @p859 :rule refl :args (@t33)) % 16.02/16.28 (step @p860 :rule nary_cong :premises (@p122 @p121 @p859 @p858 @p857 @p856 @p848) :args (@t36)) % 16.02/16.28 (step @p861 :rule cong :premises (@p860 @p843) :args (@t37)) % 16.02/16.28 (step @p862 :rule cong :premises (@p861) :args (@t39)) % 16.02/16.28 (step @p863 :rule trans :premises (@p862 @p842)) % 16.02/16.28 (step @p864 :rule eq_resolve :premises (@p3 @p863)) % 16.02/16.28 (step @p865 :rule refl :args (@t414)) % 16.02/16.28 (step @p866 :rule refl :args (@t369)) % 16.02/16.28 (step @p867 :rule nary_cong :premises (@p866 @p655) :args (@t415)) % 16.02/16.28 (step @p868 :rule cong :premises (@p867) :args (@t416)) % 16.02/16.28 (step @p869 :rule cong :premises (@p868) :args (@t417)) % 16.02/16.28 (step @p870 :rule eq-symm :args (@t144 @t19)) % 16.02/16.28 (step @p871 :rule refl :args (@t215)) % 16.02/16.28 (step @p872 :rule nary_cong :premises (@p871 @p655 @p870) :args (@t418)) % 16.02/16.28 (step @p873 :rule cong :premises (@p872) :args (@t419)) % 16.02/16.28 (step @p874 :rule cong :premises (@p873) :args (@t420)) % 16.02/16.28 (step @p875 :rule nary_cong :premises (@p161 @p160 @p155 @p154 @p157 @p874 @p869 @p865) :args (@t421)) % 16.02/16.28 (step @p876 :rule refl :args (@t422)) % 16.02/16.28 (step @p877 :rule cong :premises (@p876 @p875) :args ((=> @t422 @t421))) % 16.02/16.28 (assume-push @p1045 @t422) % 16.02/16.28 (step @p879 :rule instantiate :premises (@p864) :args ((@list @t146 @t144 @t130 @t158))) % 16.02/16.28 (step-pop @p1046 :rule scope :premises (@p879)) % 16.02/16.28 (step @p880 :rule process_scope :premises (@p1046) :args (@t421)) % 16.02/16.28 (step @p882 :rule eq_resolve :premises (@p880 @p877)) % 16.02/16.28 (step @p883 :rule implies_elim :premises (@p882)) % 16.02/16.28 (step @p884 :rule chain_m_resolution :premises (@p883 @p864) :args (@t423 @t229 (@list @t422))) % 16.02/16.28 (step @p885 :rule bool-double-not-elim :args (@t168)) % 16.02/16.28 (step @p886 :rule nary_cong :premises (@p175 @p885) :args ((or @t184 (not @t169)))) % 16.02/16.28 (step @p887 :rule cnf_or_neg :args (@t184 7)) % 16.02/16.28 (step @p888 :rule eq_resolve :premises (@p887 @p886)) % 16.02/16.28 (step @p889 :rule reordering :premises (@p888) :args ((or @t168 @t184))) % 16.02/16.28 (step @p890 :rule chain_m_resolution :premises (@p889 @p173) :args (@t168 @t206 @t207)) % 16.02/16.28 (step @p891 :rule bool-double-not-elim :args (@t170)) % 16.02/16.28 (step @p892 :rule nary_cong :premises (@p175 @p891) :args ((or @t184 (not @t171)))) % 16.02/16.28 (step @p893 :rule cnf_or_neg :args (@t184 6)) % 16.02/16.28 (step @p894 :rule eq_resolve :premises (@p893 @p892)) % 16.02/16.28 (step @p895 :rule reordering :premises (@p894) :args ((or @t170 @t184))) % 16.02/16.28 (step @p896 :rule chain_m_resolution :premises (@p895 @p173) :args (@t170 @t206 @t207)) % 16.02/16.28 (step @p897 :rule bool-double-not-elim :args (@t174)) % 16.02/16.28 (step @p898 :rule nary_cong :premises (@p175 @p897) :args ((or @t184 (not @t175)))) % 16.02/16.28 (step @p899 :rule cnf_or_neg :args (@t184 4)) % 16.02/16.28 (step @p900 :rule eq_resolve :premises (@p899 @p898)) % 16.02/16.28 (step @p901 :rule reordering :premises (@p900) :args ((or @t174 @t184))) % 16.02/16.28 (step @p902 :rule chain_m_resolution :premises (@p901 @p173) :args (@t174 @t206 @t207)) % 16.02/16.28 (step @p903 :rule bool-double-not-elim :args (@t180)) % 16.02/16.28 (step @p904 :rule nary_cong :premises (@p175 @p903) :args ((or @t184 (not @t181)))) % 16.02/16.28 (step @p905 :rule cnf_or_neg :args (@t184 1)) % 16.02/16.28 (step @p906 :rule eq_resolve :premises (@p905 @p904)) % 16.02/16.28 (step @p907 :rule reordering :premises (@p906) :args ((or @t180 @t184))) % 16.02/16.28 (step @p908 :rule chain_m_resolution :premises (@p907 @p173) :args (@t180 @t206 @t207)) % 16.02/16.28 (step @p909 :rule bool-double-not-elim :args (@t182)) % 16.02/16.28 (step @p910 :rule nary_cong :premises (@p175 @p909) :args ((or @t184 (not @t183)))) % 16.02/16.28 (step @p911 :rule cnf_or_neg :args (@t184 0)) % 16.02/16.28 (step @p912 :rule eq_resolve :premises (@p911 @p910)) % 16.02/16.28 (step @p913 :rule reordering :premises (@p912) :args ((or @t182 @t184))) % 16.02/16.28 (step @p914 :rule chain_m_resolution :premises (@p913 @p173) :args (@t182 @t206 @t207)) % 16.02/16.28 (step @p915 :rule cnf_or_pos :args (@t423)) % 16.02/16.28 (step @p916 :rule reordering :premises (@p915) :args ((or @t183 @t181 @t175 @t171 @t169 @t380 @t414 @t231 (not @t423)))) % 16.02/16.28 (step @p917 :rule chain_m_resolution :premises (@p916 @p914 @p908 @p902 @p896 @p890 @p740 @p260 @p884) :args (@t414 (@list false false false false false false false false) (@list @t182 @t180 @t174 @t170 @t168 @t370 @t216 @t423))) % 16.02/16.28 (step @p918 :rule cnf_equiv_pos1 :args (@t427)) % 16.02/16.28 (step @p919 :rule reordering :premises (@p918) :args ((or (not @t414) @t426 (not @t427)))) % 16.02/16.28 (step @p920 :rule chain_m_resolution :premises (@p919 @p917 @p814) :args (@t426 @t243 (@list @t414 @t427))) % 16.02/16.28 (step @p921 :rule cnf_and_pos :args (@t426 1)) % 16.02/16.28 (step @p922 :rule reordering :premises (@p921) :args ((or @t425 (not @t426)))) % 16.02/16.28 (step @p923 :rule chain_m_resolution :premises (@p922 @p920) :args (@t425 @t229 (@list @t426))) % 16.02/16.28 (step @p924 :rule cnf_or_pos :args (@t430)) % 16.02/16.28 (step @p925 :rule reordering :premises (@p924) :args ((or @t424 @t429 @t428 @t431))) % 16.02/16.28 (step @p926 :rule chain_m_resolution :premises (@p925 @p923 @p813 @p326) :args (@t431 (@list true false false) (@list @t424 @t399 @t244))) % 16.02/16.28 (assume-push @p1047 @t432) % 16.02/16.28 (step @p928 :rule instantiate :premises (@p17) :args ((@list @t158 @t129 @t130))) % 16.02/16.28 (step-pop @p1048 :rule scope :premises (@p928)) % 16.02/16.28 (step @p929 :rule process_scope :premises (@p1048) :args (@t430)) % 16.02/16.28 (step @p931 :rule implies_elim :premises (@p929)) % 16.02/16.28 (step @p932 false :rule chain_m_resolution :premises (@p931 @p926 @p17) :args (false @t323 (@list @t430 @t432))) % 16.02/16.28 ) % 16.02/16.28 % SZS output end Proof % 16.02/16.28 % cvc5 exiting %------------------------------------------------------------------------------