%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM003+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:10:22 AM UTC 2026 % Result : Theorem 0.70s 0.92s % Output : Proof 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM003+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:27:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.70/0.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.70/0.92 % SZS status Theorem % 0.70/0.92 % SZS output start Proof % 0.70/0.92 ( % 0.70/0.92 (declare-sort $$unsorted 0) % 0.70/0.92 (declare-const tptp.halts2 (-> $$unsorted $$unsorted Bool)) % 0.70/0.92 (declare-const tptp.halts3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.70/0.92 (declare-const tptp.bad $$unsorted) % 0.70/0.92 (declare-const tptp.good $$unsorted) % 0.70/0.92 (declare-const tptp.algorithm (-> $$unsorted Bool)) % 0.70/0.92 (declare-const tptp.outputs (-> $$unsorted $$unsorted Bool)) % 0.70/0.92 (declare-const tptp.program (-> $$unsorted Bool)) % 0.70/0.92 (declare-const tptp.decides (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.70/0.92 (define @t1 () (@var "Z" $$unsorted)) % 0.70/0.92 (define @t2 () (@var "Y" $$unsorted)) % 0.70/0.92 (define @t3 () (@var "W" $$unsorted)) % 0.70/0.92 (define @t4 () (@list @t1)) % 0.70/0.92 (define @t5 () (forall @t4 (tptp.decides @t3 @t2 @t1))) % 0.70/0.92 (define @t6 () (tptp.program @t2)) % 0.70/0.92 (define @t7 () (@list @t2)) % 0.70/0.92 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.70/0.92 (define @t9 () (tptp.program @t3)) % 0.70/0.92 (define @t10 () (and @t9 @t8)) % 0.70/0.92 (define @t11 () (@list @t3)) % 0.70/0.92 (define @t12 () (exists @t11 @t10)) % 0.70/0.92 (define @t13 () (@var "X" $$unsorted)) % 0.70/0.92 (define @t14 () (forall @t4 (tptp.decides @t13 @t2 @t1))) % 0.70/0.92 (define @t15 () (forall @t7 (=> @t6 @t14))) % 0.70/0.92 (define @t16 () (tptp.algorithm @t13)) % 0.70/0.92 (define @t17 () (and @t16 @t15)) % 0.70/0.92 (define @t18 () (@list @t13)) % 0.70/0.92 (define @t19 () (exists @t18 @t17)) % 0.70/0.92 (define @t20 () (=> @t19 @t12)) % 0.70/0.92 (define @t21 () (tptp.outputs @t3 tptp.bad)) % 0.70/0.92 (define @t22 () (tptp.halts3 @t3 @t2 @t1)) % 0.70/0.92 (define @t23 () (and @t22 @t21)) % 0.70/0.92 (define @t24 () (tptp.halts2 @t2 @t1)) % 0.70/0.92 (define @t25 () (not @t24)) % 0.70/0.92 (define @t26 () (and @t6 @t25)) % 0.70/0.92 (define @t27 () (tptp.outputs @t3 tptp.good)) % 0.70/0.92 (define @t28 () (and @t22 @t27)) % 0.70/0.92 (define @t29 () (and @t6 @t24)) % 0.70/0.92 (define @t30 () (and (=> @t29 @t28) (=> @t26 @t23))) % 0.70/0.92 (define @t31 () (@list @t2 @t1)) % 0.70/0.92 (define @t32 () (forall @t31 @t30)) % 0.70/0.92 (define @t33 () (=> @t10 @t32)) % 0.70/0.92 (define @t34 () (forall @t11 @t33)) % 0.70/0.92 (define @t35 () (@var "V" $$unsorted)) % 0.70/0.92 (define @t36 () (tptp.outputs @t35 tptp.bad)) % 0.70/0.92 (define @t37 () (tptp.halts2 @t35 @t2)) % 0.70/0.92 (define @t38 () (and @t37 @t36)) % 0.70/0.92 (define @t39 () (tptp.halts2 @t2 @t2)) % 0.70/0.92 (define @t40 () (not @t39)) % 0.70/0.92 (define @t41 () (and @t6 @t40)) % 0.70/0.92 (define @t42 () (tptp.outputs @t35 tptp.good)) % 0.70/0.92 (define @t43 () (and @t37 @t42)) % 0.70/0.92 (define @t44 () (and @t6 @t39)) % 0.70/0.92 (define @t45 () (and (=> @t44 @t43) (=> @t41 @t38))) % 0.70/0.92 (define @t46 () (forall @t7 @t45)) % 0.70/0.92 (define @t47 () (tptp.program @t35)) % 0.70/0.92 (define @t48 () (and @t47 @t46)) % 0.70/0.92 (define @t49 () (@list @t35)) % 0.70/0.92 (define @t50 () (exists @t49 @t48)) % 0.70/0.92 (define @t51 () (tptp.halts3 @t3 @t2 @t2)) % 0.70/0.92 (define @t52 () (and @t51 @t21)) % 0.70/0.92 (define @t53 () (and @t51 @t27)) % 0.70/0.92 (define @t54 () (and (=> @t44 @t53) (=> @t41 @t52))) % 0.70/0.92 (define @t55 () (forall @t7 @t54)) % 0.70/0.92 (define @t56 () (and @t9 @t55)) % 0.70/0.92 (define @t57 () (exists @t11 @t56)) % 0.70/0.92 (define @t58 () (=> @t57 @t50)) % 0.70/0.92 (define @t59 () (@var "U" $$unsorted)) % 0.70/0.92 (define @t60 () (tptp.outputs @t59 tptp.bad)) % 0.70/0.92 (define @t61 () (tptp.halts2 @t59 @t2)) % 0.70/0.92 (define @t62 () (and @t61 @t60)) % 0.70/0.92 (define @t63 () (not @t61)) % 0.70/0.92 (define @t64 () (and (=> @t44 @t63) (=> @t41 @t62))) % 0.70/0.92 (define @t65 () (forall @t7 @t64)) % 0.70/0.92 (define @t66 () (tptp.program @t59)) % 0.70/0.92 (define @t67 () (and @t66 @t65)) % 0.70/0.92 (define @t68 () (@list @t59)) % 0.70/0.92 (define @t69 () (exists @t68 @t67)) % 0.70/0.92 (define @t70 () (=> @t50 @t69)) % 0.70/0.92 (define @t71 () (@var "Z1" $$unsorted)) % 0.70/0.92 (define @t72 () (@var "Y1" $$unsorted)) % 0.70/0.92 (define @t73 () (@var "X1" $$unsorted)) % 0.70/0.92 (define @t74 () (forall (@list @t71) (tptp.decides @t73 @t72 @t71))) % 0.70/0.92 (define @t75 () (tptp.program @t72)) % 0.70/0.92 (define @t76 () (@list @t72)) % 0.70/0.92 (define @t77 () (forall @t76 (=> @t75 @t74))) % 0.70/0.92 (define @t78 () (tptp.algorithm @t73)) % 0.70/0.92 (define @t79 () (and @t78 @t77)) % 0.70/0.92 (define @t80 () (@list @t73)) % 0.70/0.92 (define @t81 () (exists @t80 @t79)) % 0.70/0.92 (define @t82 () (@var "BOUND_VARIABLE_7743" $$unsorted)) % 0.70/0.92 (define @t83 () (tptp.decides @t73 @t72 @t82)) % 0.70/0.92 (define @t84 () (not @t75)) % 0.70/0.92 (define @t85 () (or @t84 @t83)) % 0.70/0.92 (define @t86 () (forall (@list @t72 @t82) @t85)) % 0.70/0.92 (define @t87 () (and @t78 @t86)) % 0.70/0.92 (define @t88 () (forall @t80 (not @t87))) % 0.70/0.92 (define @t89 () (not @t88)) % 0.70/0.92 (define @t90 () (@list @t82)) % 0.70/0.92 (define @t91 () (forall @t90 @t85)) % 0.70/0.92 (define @t92 () (forall @t90 @t83)) % 0.70/0.92 (define @t93 () (or @t84 @t92)) % 0.70/0.92 (define @t94 () (@var "BOUND_VARIABLE_7519" $$unsorted)) % 0.70/0.92 (define @t95 () (tptp.decides @t13 @t2 @t94)) % 0.70/0.92 (define @t96 () (not @t6)) % 0.70/0.92 (define @t97 () (or @t96 @t95)) % 0.70/0.92 (define @t98 () (forall (@list @t2 @t94) @t97)) % 0.70/0.92 (define @t99 () (forall @t18 (or (not @t16) (not @t98)))) % 0.70/0.92 (define @t100 () (not @t99)) % 0.70/0.92 (define @t101 () (@list true)) % 0.70/0.92 (define @t102 () (@var "BOUND_VARIABLE_7537" $$unsorted)) % 0.70/0.92 (define @t103 () (tptp.decides @t3 @t2 @t102)) % 0.70/0.92 (define @t104 () (or @t96 @t103)) % 0.70/0.92 (define @t105 () (@list @t2 @t102)) % 0.70/0.92 (define @t106 () (forall @t105 @t104)) % 0.70/0.92 (define @t107 () (not @t106)) % 0.70/0.92 (define @t108 () (not @t9)) % 0.70/0.92 (define @t109 () (or @t108 @t107)) % 0.70/0.92 (define @t110 () (forall @t11 @t109)) % 0.70/0.92 (define @t111 () (not @t110)) % 0.70/0.92 (define @t112 () (and @t9 @t106)) % 0.70/0.92 (define @t113 () (not @t112)) % 0.70/0.92 (define @t114 () (forall @t11 @t113)) % 0.70/0.92 (define @t115 () (not @t114)) % 0.70/0.92 (define @t116 () (@list @t102)) % 0.70/0.92 (define @t117 () (forall @t116 @t104)) % 0.70/0.92 (define @t118 () (forall @t116 @t103)) % 0.70/0.92 (define @t119 () (@list @t1)) % 0.70/0.92 (define @t120 () (or @t96 @t118)) % 0.70/0.92 (define @t121 () (and @t16 @t98)) % 0.70/0.92 (define @t122 () (forall @t18 (not @t121))) % 0.70/0.92 (define @t123 () (not @t122)) % 0.70/0.92 (define @t124 () (@list @t94)) % 0.70/0.92 (define @t125 () (forall @t124 @t97)) % 0.70/0.92 (define @t126 () (forall @t124 @t95)) % 0.70/0.92 (define @t127 () (or @t96 @t126)) % 0.70/0.92 (define @t128 () (@quantifiers_skolemize @t110 0)) % 0.70/0.92 (define @t129 () (tptp.program @t128)) % 0.70/0.92 (define @t130 () (forall @t105 (or @t96 (tptp.decides @t128 @t2 @t102)))) % 0.70/0.92 (define @t131 () (not @t130)) % 0.70/0.92 (define @t132 () (not @t129)) % 0.70/0.92 (define @t133 () (or @t132 @t131)) % 0.70/0.92 (define @t134 () (@list @t133)) % 0.70/0.92 (define @t135 () (@var "BOUND_VARIABLE_7715" $$unsorted)) % 0.70/0.92 (define @t136 () (tptp.halts2 @t135 @t135)) % 0.70/0.92 (define @t137 () (not (tptp.program @t135))) % 0.70/0.92 (define @t138 () (@list @t135)) % 0.70/0.92 (define @t139 () (forall @t138 (or @t137 @t136 (and (tptp.halts2 @t59 @t135) @t60)))) % 0.70/0.92 (define @t140 () (not @t139)) % 0.70/0.92 (define @t141 () (@var "BOUND_VARIABLE_7704" $$unsorted)) % 0.70/0.92 (define @t142 () (not (tptp.halts2 @t141 @t141))) % 0.70/0.92 (define @t143 () (not (tptp.program @t141))) % 0.70/0.92 (define @t144 () (@list @t141)) % 0.70/0.92 (define @t145 () (forall @t144 (or @t143 @t142 (not (tptp.halts2 @t59 @t141))))) % 0.70/0.93 (define @t146 () (not @t145)) % 0.70/0.93 (define @t147 () (not @t66)) % 0.70/0.93 (define @t148 () (or @t147 @t146 @t140)) % 0.70/0.93 (define @t149 () (forall @t68 @t148)) % 0.70/0.93 (define @t150 () (@quantifiers_skolemize @t149 0)) % 0.70/0.93 (define @t151 () (tptp.program @t150)) % 0.70/0.93 (define @t152 () (tptp.outputs @t150 tptp.bad)) % 0.70/0.93 (define @t153 () (forall @t138 (or @t137 @t136 (and (tptp.halts2 @t150 @t135) @t152)))) % 0.70/0.93 (define @t154 () (not @t153)) % 0.70/0.93 (define @t155 () (forall @t144 (or @t143 @t142 (not (tptp.halts2 @t150 @t141))))) % 0.70/0.93 (define @t156 () (not @t155)) % 0.70/0.93 (define @t157 () (not @t151)) % 0.70/0.93 (define @t158 () (or @t157 @t156 @t154)) % 0.70/0.93 (define @t159 () (@list @t150)) % 0.70/0.93 (define @t160 () (tptp.halts2 @t150 @t150)) % 0.70/0.93 (define @t161 () (not @t160)) % 0.70/0.93 (define @t162 () (or @t157 @t161 @t161)) % 0.70/0.93 (define @t163 () (and @t160 @t152)) % 0.70/0.93 (define @t164 () (or @t157 @t160 @t163)) % 0.70/0.93 (define @t165 () (not @t158)) % 0.70/0.93 (define @t166 () (not @t149)) % 0.70/0.93 (define @t167 () (@list false)) % 0.70/0.93 (define @t168 () (@var "BOUND_VARIABLE_7675" $$unsorted)) % 0.70/0.93 (define @t169 () (forall (@list @t168) (or (not (tptp.program @t168)) (tptp.halts2 @t168 @t168) (and (tptp.halts2 @t35 @t168) @t36)))) % 0.70/0.93 (define @t170 () (not @t169)) % 0.70/0.93 (define @t171 () (@var "BOUND_VARIABLE_7664" $$unsorted)) % 0.70/0.93 (define @t172 () (forall (@list @t171) (or (not (tptp.program @t171)) (not (tptp.halts2 @t171 @t171)) (and (tptp.halts2 @t35 @t171) @t42)))) % 0.70/0.93 (define @t173 () (not @t172)) % 0.70/0.93 (define @t174 () (not @t47)) % 0.70/0.93 (define @t175 () (or @t174 @t173 @t170)) % 0.70/0.93 (define @t176 () (forall @t49 @t175)) % 0.70/0.93 (define @t177 () (not @t176)) % 0.70/0.93 (define @t178 () (and @t145 @t139)) % 0.70/0.93 (define @t179 () (and @t66 @t145 @t139)) % 0.70/0.93 (define @t180 () (forall @t68 (not @t179))) % 0.70/0.93 (define @t181 () (not @t180)) % 0.70/0.93 (define @t182 () (or @t96 @t39 @t62)) % 0.70/0.93 (define @t183 () (forall @t7 @t182)) % 0.70/0.93 (define @t184 () (@list @t2)) % 0.70/0.93 (define @t185 () (or @t96 @t40 @t63)) % 0.70/0.93 (define @t186 () (forall @t7 @t185)) % 0.70/0.93 (define @t187 () (and @t186 @t183)) % 0.70/0.93 (define @t188 () (or @t96 @t39)) % 0.70/0.93 (define @t189 () (not @t41)) % 0.70/0.93 (define @t190 () (or @t96 @t40)) % 0.70/0.93 (define @t191 () (not @t44)) % 0.70/0.93 (define @t192 () (and @t172 @t169)) % 0.70/0.93 (define @t193 () (and @t47 @t172 @t169)) % 0.70/0.93 (define @t194 () (forall @t49 (not @t193))) % 0.70/0.93 (define @t195 () (not @t194)) % 0.70/0.93 (define @t196 () (or @t96 @t39 @t38)) % 0.70/0.93 (define @t197 () (forall @t7 @t196)) % 0.70/0.93 (define @t198 () (or @t96 @t40 @t43)) % 0.70/0.93 (define @t199 () (forall @t7 @t198)) % 0.70/0.93 (define @t200 () (and @t199 @t197)) % 0.70/0.93 (define @t201 () (@var "BOUND_VARIABLE_7638" $$unsorted)) % 0.70/0.93 (define @t202 () (tptp.halts2 @t201 @t201)) % 0.70/0.93 (define @t203 () (not (tptp.program @t201))) % 0.70/0.93 (define @t204 () (@list @t201)) % 0.70/0.93 (define @t205 () (forall @t204 (or @t203 @t202 (and (tptp.halts3 @t3 @t201 @t201) @t21)))) % 0.70/0.93 (define @t206 () (not @t205)) % 0.70/0.93 (define @t207 () (@var "BOUND_VARIABLE_7627" $$unsorted)) % 0.70/0.93 (define @t208 () (not (tptp.halts2 @t207 @t207))) % 0.70/0.93 (define @t209 () (not (tptp.program @t207))) % 0.70/0.93 (define @t210 () (@list @t207)) % 0.70/0.93 (define @t211 () (forall @t210 (or @t209 @t208 (and (tptp.halts3 @t3 @t207 @t207) @t27)))) % 0.70/0.93 (define @t212 () (not @t211)) % 0.70/0.93 (define @t213 () (or @t108 @t212 @t206)) % 0.70/0.93 (define @t214 () (forall @t11 @t213)) % 0.70/0.93 (define @t215 () (and @t211 @t205)) % 0.70/0.93 (define @t216 () (and @t9 @t211 @t205)) % 0.70/0.93 (define @t217 () (forall @t11 (not @t216))) % 0.70/0.93 (define @t218 () (not @t217)) % 0.70/0.93 (define @t219 () (or @t96 @t39 @t52)) % 0.70/0.93 (define @t220 () (forall @t7 @t219)) % 0.70/0.93 (define @t221 () (or @t96 @t40 @t53)) % 0.70/0.93 (define @t222 () (forall @t7 @t221)) % 0.70/0.93 (define @t223 () (and @t222 @t220)) % 0.70/0.93 (define @t224 () (tptp.outputs @t128 tptp.bad)) % 0.70/0.93 (define @t225 () (forall @t204 (or @t203 @t202 (and (tptp.halts3 @t128 @t201 @t201) @t224)))) % 0.70/0.93 (define @t226 () (not @t225)) % 0.70/0.93 (define @t227 () (tptp.outputs @t128 tptp.good)) % 0.70/0.93 (define @t228 () (forall @t210 (or @t209 @t208 (and (tptp.halts3 @t128 @t207 @t207) @t227)))) % 0.70/0.93 (define @t229 () (not @t228)) % 0.70/0.93 (define @t230 () (or @t132 @t229 @t226)) % 0.70/0.93 (define @t231 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 0.70/0.93 (define @t232 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 0.70/0.93 (define @t233 () (or (not (tptp.program @t232)) (tptp.halts2 @t232 @t231) (and (tptp.halts3 @t3 @t232 @t231) @t21))) % 0.70/0.93 (define @t234 () (@var "BOUND_VARIABLE_7595" $$unsorted)) % 0.70/0.93 (define @t235 () (@var "BOUND_VARIABLE_7593" $$unsorted)) % 0.70/0.93 (define @t236 () (or (not (tptp.program @t235)) (not (tptp.halts2 @t235 @t234)) (and (tptp.halts3 @t3 @t235 @t234) @t27))) % 0.70/0.93 (define @t237 () (and @t236 @t233)) % 0.70/0.93 (define @t238 () (or @t108 @t107 @t237)) % 0.70/0.93 (define @t239 () (@list @t235 @t234 @t232 @t231)) % 0.70/0.93 (define @t240 () (forall @t239 @t238)) % 0.70/0.93 (define @t241 () (forall (@list @t232 @t231) @t233)) % 0.70/0.93 (define @t242 () (@var "BOUND_VARIABLE_7578" $$unsorted)) % 0.70/0.93 (define @t243 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 0.70/0.93 (define @t244 () (@list @t243 @t242)) % 0.70/0.93 (define @t245 () (forall @t239 @t233)) % 0.70/0.93 (define @t246 () (forall (@list @t235 @t234) @t236)) % 0.70/0.93 (define @t247 () (@var "BOUND_VARIABLE_7565" $$unsorted)) % 0.70/0.93 (define @t248 () (@var "BOUND_VARIABLE_7563" $$unsorted)) % 0.70/0.93 (define @t249 () (@list @t248 @t247)) % 0.70/0.93 (define @t250 () (forall @t239 @t236)) % 0.70/0.93 (define @t251 () (and @t250 @t245)) % 0.70/0.93 (define @t252 () (forall @t239 @t237)) % 0.70/0.93 (define @t253 () (or @t108 @t107 @t252)) % 0.70/0.93 (define @t254 () (and (forall (@list @t248 @t247) (or (not (tptp.program @t248)) (not (tptp.halts2 @t248 @t247)) (and (tptp.halts3 @t3 @t248 @t247) @t27))) (forall (@list @t243 @t242) (or (not (tptp.program @t243)) (tptp.halts2 @t243 @t242) (and (tptp.halts3 @t3 @t243 @t242) @t21))))) % 0.70/0.93 (define @t255 () (or @t108 @t107 @t254)) % 0.70/0.93 (define @t256 () (or @t96 @t24 @t23)) % 0.70/0.93 (define @t257 () (forall @t31 @t256)) % 0.70/0.93 (define @t258 () (@list @t2 @t1)) % 0.70/0.93 (define @t259 () (or @t96 @t25 @t28)) % 0.70/0.93 (define @t260 () (forall @t31 @t259)) % 0.70/0.93 (define @t261 () (and @t260 @t257)) % 0.70/0.93 (define @t262 () (@quantifiers_skolemize @t225 0)) % 0.70/0.93 (define @t263 () (@quantifiers_skolemize @t176 0)) % 0.70/0.93 (define @t264 () (or (not (tptp.program @t262)) (tptp.halts2 @t262 @t262) (and (tptp.halts3 @t128 @t262 @t262) @t224))) % 0.70/0.93 (define @t265 () (and (or @t157 (not (tptp.halts2 @t150 @t263)) (and (tptp.halts3 @t128 @t150 @t263) @t227)) @t264)) % 0.70/0.93 (define @t266 () (or @t132 @t131 @t265)) % 0.70/0.93 (define @t267 () (@list false false false)) % 0.70/0.93 (define @t268 () (not @t264)) % 0.70/0.93 (define @t269 () (@quantifiers_skolemize @t214 0)) % 0.70/0.93 (define @t270 () (@quantifiers_skolemize @t228 0)) % 0.70/0.93 (define @t271 () (or (not (tptp.program @t270)) (not (tptp.halts2 @t270 @t270)) (and (tptp.halts3 @t128 @t270 @t270) @t227))) % 0.70/0.93 (define @t272 () (and @t271 (or @t157 (tptp.halts2 @t150 @t269) (and (tptp.halts3 @t128 @t150 @t269) @t224)))) % 0.70/0.93 (define @t273 () (or @t132 @t131 @t272)) % 0.70/0.93 (define @t274 () (not @t271)) % 0.70/0.93 (assume @p1 @t20) % 0.70/0.93 (assume @p2 @t34) % 0.70/0.93 (assume @p3 @t58) % 0.70/0.93 (assume @p4 @t70) % 0.70/0.93 (assume @p5 (not (not @t81))) % 0.70/0.93 (assume @p6 true) % 0.70/0.93 (step @p7 :rule bool-and-de-morgan :args (@t78 @t86 true)) % 0.70/0.93 (step @p8 :rule cong :premises (@p7) :args (@t88)) % 0.70/0.93 (step @p9 :rule cong :premises (@p8) :args (@t89)) % 0.70/0.93 (step @p10 :rule exists-elim :args ((= (exists @t80 @t87) @t89))) % 0.70/0.93 (step @p11 :rule trans :premises (@p10 @p9)) % 0.70/0.93 (step @p12 :rule quant-merge-prenex :args ((= (forall @t76 @t91) @t86))) % 0.70/0.93 (step @p13 :rule alpha_equiv :args (@t92 (@list @t82) (@list @t71))) % 0.70/0.93 (step @p14 :rule refl :args (@t84)) % 0.70/0.93 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t93)) % 0.70/0.93 (step @p16 :rule quant-miniscope-or :args ((= @t91 @t93))) % 0.70/0.93 (step @p17 :rule trans :premises (@p16 @p15)) % 0.70/0.93 (step @p18 :rule symm :premises (@p17)) % 0.70/0.93 (step @p19 :rule cong :premises (@p18) :args ((forall @t76 (or @t84 @t74)))) % 0.70/0.93 (step @p20 :rule trans :premises (@p19 @p12)) % 0.70/0.93 (step @p21 :rule bool-impl-elim :args (@t75 @t74)) % 0.70/0.93 (step @p22 :rule cong :premises (@p21) :args (@t77)) % 0.70/0.93 (step @p23 :rule trans :premises (@p22 @p20)) % 0.70/0.93 (step @p24 :rule refl :args (@t78)) % 0.70/0.93 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t79)) % 0.70/0.93 (step @p26 :rule cong :premises (@p25) :args (@t81)) % 0.70/0.93 (step @p27 :rule trans :premises (@p26 @p11)) % 0.70/0.93 (step @p28 :rule bool-double-not-elim :args (@t81)) % 0.70/0.93 (step @p29 :rule trans :premises (@p28 @p27)) % 0.70/0.93 (step @p30 :rule eq_resolve :premises (@p5 @p29)) % 0.70/0.93 (step @p31 :rule alpha_equiv :args (@t99 (@list @t2 @t94 @t13) (@list @t72 @t82 @t73))) % 0.70/0.93 (step @p32 :rule equiv_elim1 :premises (@p31)) % 0.70/0.93 (step @p33 :rule chain_m_resolution :premises (@p32 @p30) :args (@t100 @t101 (@list (forall @t80 (or (not @t78) (not @t86)))))) % 0.70/0.93 (step @p34 :rule refl :args (@t111)) % 0.70/0.93 (step @p35 :rule bool-double-not-elim :args (@t99)) % 0.70/0.93 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t100) @t111))) % 0.70/0.93 (step @p37 :rule bool-and-de-morgan :args (@t9 @t106 true)) % 0.70/0.93 (step @p38 :rule cong :premises (@p37) :args (@t114)) % 0.70/0.93 (step @p39 :rule cong :premises (@p38) :args (@t115)) % 0.70/0.93 (step @p40 :rule exists-elim :args ((= (exists @t11 @t112) @t115))) % 0.70/0.93 (step @p41 :rule trans :premises (@p40 @p39)) % 0.70/0.93 (step @p42 :rule quant-merge-prenex :args ((= (forall @t7 @t117) @t106))) % 0.70/0.93 (step @p43 :rule alpha_equiv :args (@t118 (@list @t102) @t119)) % 0.70/0.93 (step @p44 :rule refl :args (@t96)) % 0.70/0.93 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t120)) % 0.70/0.93 (step @p46 :rule quant-miniscope-or :args ((= @t117 @t120))) % 0.70/0.93 (step @p47 :rule trans :premises (@p46 @p45)) % 0.70/0.93 (step @p48 :rule symm :premises (@p47)) % 0.70/0.93 (step @p49 :rule cong :premises (@p48) :args ((forall @t7 (or @t96 @t5)))) % 0.70/0.93 (step @p50 :rule trans :premises (@p49 @p42)) % 0.70/0.93 (step @p51 :rule bool-impl-elim :args (@t6 @t5)) % 0.70/0.93 (step @p52 :rule cong :premises (@p51) :args (@t8)) % 0.70/0.93 (step @p53 :rule trans :premises (@p52 @p50)) % 0.70/0.93 (step @p54 :rule refl :args (@t9)) % 0.70/0.93 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t10)) % 0.70/0.93 (step @p56 :rule cong :premises (@p55) :args (@t12)) % 0.70/0.93 (step @p57 :rule trans :premises (@p56 @p41)) % 0.70/0.93 (step @p58 :rule bool-and-de-morgan :args (@t16 @t98 true)) % 0.70/0.93 (step @p59 :rule cong :premises (@p58) :args (@t122)) % 0.70/0.93 (step @p60 :rule cong :premises (@p59) :args (@t123)) % 0.70/0.93 (step @p61 :rule exists-elim :args ((= (exists @t18 @t121) @t123))) % 0.70/0.93 (step @p62 :rule trans :premises (@p61 @p60)) % 0.70/0.93 (step @p63 :rule quant-merge-prenex :args ((= (forall @t7 @t125) @t98))) % 0.70/0.93 (step @p64 :rule alpha_equiv :args (@t126 (@list @t94) @t119)) % 0.70/0.93 (step @p65 :rule nary_cong :premises (@p44 @p64) :args (@t127)) % 0.70/0.93 (step @p66 :rule quant-miniscope-or :args ((= @t125 @t127))) % 0.70/0.93 (step @p67 :rule trans :premises (@p66 @p65)) % 0.70/0.93 (step @p68 :rule symm :premises (@p67)) % 0.70/0.93 (step @p69 :rule cong :premises (@p68) :args ((forall @t7 (or @t96 @t14)))) % 0.70/0.93 (step @p70 :rule trans :premises (@p69 @p63)) % 0.70/0.93 (step @p71 :rule bool-impl-elim :args (@t6 @t14)) % 0.70/0.93 (step @p72 :rule cong :premises (@p71) :args (@t15)) % 0.70/0.93 (step @p73 :rule trans :premises (@p72 @p70)) % 0.70/0.93 (step @p74 :rule refl :args (@t16)) % 0.70/0.93 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t17)) % 0.70/0.93 (step @p76 :rule cong :premises (@p75) :args (@t19)) % 0.70/0.93 (step @p77 :rule trans :premises (@p76 @p62)) % 0.70/0.93 (step @p78 :rule cong :premises (@p77 @p57) :args (@t20)) % 0.70/0.93 (step @p79 :rule eq_resolve :premises (@p1 @p78)) % 0.70/0.93 (step @p80 :rule implies_elim :premises (@p79)) % 0.70/0.93 (step @p81 :rule eq_resolve :premises (@p80 @p36)) % 0.70/0.93 (step @p82 :rule chain_m_resolution :premises (@p81 @p33) :args (@t111 @t101 (@list @t99))) % 0.70/0.93 (step @p83 :rule skolemize :premises (@p82)) % 0.70/0.93 (step @p84 :rule bool-double-not-elim :args (@t129)) % 0.70/0.93 (step @p85 :rule refl :args (@t133)) % 0.70/0.93 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t133 (not @t132)))) % 0.70/0.93 (step @p87 :rule cnf_or_neg :args (@t133 0)) % 0.70/0.93 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.70/0.93 (step @p89 :rule reordering :premises (@p88) :args ((or @t129 @t133))) % 0.70/0.93 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t129 @t101 @t134)) % 0.70/0.93 (step @p91 :rule bool-double-not-elim :args (@t151)) % 0.70/0.93 (step @p92 :rule refl :args (@t158)) % 0.70/0.93 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t158 (not @t157)))) % 0.70/0.93 (step @p94 :rule cnf_or_neg :args (@t158 0)) % 0.70/0.93 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.70/0.93 (step @p96 :rule reordering :premises (@p95) :args ((or @t151 @t158))) % 0.70/0.93 (step @p97 :rule bool-double-not-elim :args (@t155)) % 0.70/0.93 (step @p98 :rule nary_cong :premises (@p92 @p97) :args ((or @t158 (not @t156)))) % 0.70/0.93 (step @p99 :rule cnf_or_neg :args (@t158 1)) % 0.70/0.93 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.70/0.93 (step @p101 :rule reordering :premises (@p100) :args ((or @t155 @t158))) % 0.70/0.93 (step @p102 :rule bool-double-not-elim :args (@t153)) % 0.70/0.93 (step @p103 :rule nary_cong :premises (@p92 @p102) :args ((or @t158 (not @t154)))) % 0.70/0.93 (step @p104 :rule cnf_or_neg :args (@t158 2)) % 0.70/0.93 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.70/0.93 (step @p106 :rule reordering :premises (@p105) :args ((or @t153 @t158))) % 0.70/0.93 (assume-push @p369 @t155) % 0.70/0.93 (step @p108 :rule instantiate :premises (@p369) :args (@t159)) % 0.70/0.93 (step-pop @p370 :rule scope :premises (@p108)) % 0.70/0.93 (step @p109 :rule process_scope :premises (@p370) :args (@t162)) % 0.70/0.93 (step @p111 :rule implies_elim :premises (@p109)) % 0.70/0.93 (assume-push @p371 @t153) % 0.70/0.93 (step @p113 :rule instantiate :premises (@p371) :args (@t159)) % 0.70/0.93 (step-pop @p372 :rule scope :premises (@p113)) % 0.70/0.93 (step @p114 :rule process_scope :premises (@p372) :args (@t164)) % 0.70/0.93 (step @p116 :rule implies_elim :premises (@p114)) % 0.70/0.93 (step @p117 :rule cnf_or_pos :args (@t162)) % 0.70/0.93 (step @p118 :rule factoring :premises (@p117)) % 0.70/0.93 (step @p119 :rule reordering :premises (@p118) :args ((or @t157 @t161 (not @t162)))) % 0.70/0.93 (step @p120 :rule cnf_and_pos :args (@t163 0)) % 0.70/0.93 (step @p121 :rule reordering :premises (@p120) :args ((or @t160 (not @t163)))) % 0.70/0.93 (step @p122 :rule cnf_or_pos :args (@t164)) % 0.70/0.93 (step @p123 :rule reordering :premises (@p122) :args ((or @t157 @t160 @t163 (not @t164)))) % 0.70/0.93 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p119 @p116 @p111 @p106 @p101 @p96) :args (@t158 (@list true true false false false false false) (@list @t163 @t160 @t164 @t162 @t153 @t155 @t151))) % 0.70/0.93 (step @p125 :rule refl :args (@t165)) % 0.70/0.93 (step @p126 :rule bool-double-not-elim :args (@t149)) % 0.70/0.93 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t166) @t165))) % 0.70/0.93 (assume-push @p373 @t166) % 0.70/0.93 (step @p129 :rule skolemize :premises (@p373)) % 0.70/0.93 (step-pop @p374 :rule scope :premises (@p129)) % 0.70/0.93 (step @p130 :rule process_scope :premises (@p374) :args (@t165)) % 0.70/0.93 (step @p132 :rule implies_elim :premises (@p130)) % 0.70/0.93 (step @p133 :rule eq_resolve :premises (@p132 @p127)) % 0.70/0.93 (step @p134 :rule chain_m_resolution :premises (@p133 @p124) :args (@t149 @t167 (@list @t158))) % 0.70/0.93 (step @p135 :rule refl :args (@t166)) % 0.70/0.93 (step @p136 :rule bool-double-not-elim :args (@t176)) % 0.70/0.93 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or (not @t177) @t166))) % 0.70/0.93 (step @p138 :rule aci_norm :args ((= (or @t147 (or @t146 @t140)) @t148))) % 0.70/0.93 (step @p139 :rule bool-and-de-morgan :args (@t145 @t139 true)) % 0.70/0.93 (step @p140 :rule refl :args (@t147)) % 0.70/0.93 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t147 (not @t178)))) % 0.70/0.93 (step @p142 :rule bool-and-de-morgan :args (@t66 @t145 (and @t139))) % 0.70/0.93 (step @p143 :rule trans :premises (@p142 @p141)) % 0.70/0.93 (step @p144 :rule trans :premises (@p143 @p138)) % 0.70/0.93 (step @p145 :rule cong :premises (@p144) :args (@t180)) % 0.70/0.93 (step @p146 :rule cong :premises (@p145) :args (@t181)) % 0.70/0.93 (step @p147 :rule exists-elim :args ((= (exists @t68 @t179) @t181))) % 0.70/0.93 (step @p148 :rule trans :premises (@p147 @p146)) % 0.70/0.93 (step @p149 :rule aci_norm :args ((= (and @t66 @t178) @t179))) % 0.70/0.93 (step @p150 :rule alpha_equiv :args (@t183 @t184 (@list @t135))) % 0.70/0.93 (step @p151 :rule alpha_equiv :args (@t186 @t184 (@list @t141))) % 0.70/0.93 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t187)) % 0.70/0.93 (step @p153 :rule quant-miniscope-and :args ((= (forall @t7 (and @t185 @t182)) @t187))) % 0.70/0.93 (step @p154 :rule trans :premises (@p153 @p152)) % 0.70/0.93 (step @p155 :rule aci_norm :args ((= (or @t188 @t62) @t182))) % 0.70/0.93 (step @p156 :rule refl :args (@t62)) % 0.70/0.93 (step @p157 :rule bool-double-not-elim :args (@t39)) % 0.70/0.93 (step @p158 :rule nary_cong :premises (@p44 @p157) :args ((or @t96 (not @t40)))) % 0.70/0.93 (step @p159 :rule bool-and-de-morgan :args (@t6 @t40 true)) % 0.70/0.93 (step @p160 :rule trans :premises (@p159 @p158)) % 0.70/0.93 (step @p161 :rule nary_cong :premises (@p160 @p156) :args ((or @t189 @t62))) % 0.70/0.93 (step @p162 :rule trans :premises (@p161 @p155)) % 0.70/0.93 (step @p163 :rule bool-impl-elim :args (@t41 @t62)) % 0.70/0.93 (step @p164 :rule trans :premises (@p163 @p162)) % 0.70/0.93 (step @p165 :rule aci_norm :args ((= (or @t190 @t63) @t185))) % 0.70/0.93 (step @p166 :rule refl :args (@t63)) % 0.70/0.93 (step @p167 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 0.70/0.93 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t191 @t63))) % 0.70/0.93 (step @p169 :rule trans :premises (@p168 @p165)) % 0.70/0.93 (step @p170 :rule bool-impl-elim :args (@t44 @t63)) % 0.70/0.93 (step @p171 :rule trans :premises (@p170 @p169)) % 0.70/0.93 (step @p172 :rule nary_cong :premises (@p171 @p164) :args (@t64)) % 0.70/0.93 (step @p173 :rule cong :premises (@p172) :args (@t65)) % 0.70/0.93 (step @p174 :rule trans :premises (@p173 @p154)) % 0.70/0.93 (step @p175 :rule refl :args (@t66)) % 0.70/0.93 (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t67)) % 0.70/0.93 (step @p177 :rule trans :premises (@p176 @p149)) % 0.70/0.93 (step @p178 :rule cong :premises (@p177) :args (@t69)) % 0.70/0.93 (step @p179 :rule trans :premises (@p178 @p148)) % 0.70/0.93 (step @p180 :rule aci_norm :args ((= (or @t174 (or @t173 @t170)) @t175))) % 0.70/0.93 (step @p181 :rule bool-and-de-morgan :args (@t172 @t169 true)) % 0.70/0.93 (step @p182 :rule refl :args (@t174)) % 0.70/0.93 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t174 (not @t192)))) % 0.70/0.93 (step @p184 :rule bool-and-de-morgan :args (@t47 @t172 (and @t169))) % 0.70/0.93 (step @p185 :rule trans :premises (@p184 @p183)) % 0.70/0.93 (step @p186 :rule trans :premises (@p185 @p180)) % 0.70/0.93 (step @p187 :rule cong :premises (@p186) :args (@t194)) % 0.70/0.93 (step @p188 :rule cong :premises (@p187) :args (@t195)) % 0.70/0.93 (step @p189 :rule exists-elim :args ((= (exists @t49 @t193) @t195))) % 0.70/0.93 (step @p190 :rule trans :premises (@p189 @p188)) % 0.70/0.93 (step @p191 :rule aci_norm :args ((= (and @t47 @t192) @t193))) % 0.70/0.93 (step @p192 :rule alpha_equiv :args (@t197 @t184 (@list @t168))) % 0.70/0.93 (step @p193 :rule alpha_equiv :args (@t199 @t184 (@list @t171))) % 0.70/0.93 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t200)) % 0.70/0.93 (step @p195 :rule quant-miniscope-and :args ((= (forall @t7 (and @t198 @t196)) @t200))) % 0.70/0.93 (step @p196 :rule trans :premises (@p195 @p194)) % 0.70/0.93 (step @p197 :rule aci_norm :args ((= (or @t188 @t38) @t196))) % 0.70/0.93 (step @p198 :rule refl :args (@t38)) % 0.70/0.93 (step @p199 :rule nary_cong :premises (@p160 @p198) :args ((or @t189 @t38))) % 0.70/0.93 (step @p200 :rule trans :premises (@p199 @p197)) % 0.70/0.93 (step @p201 :rule bool-impl-elim :args (@t41 @t38)) % 0.70/0.93 (step @p202 :rule trans :premises (@p201 @p200)) % 0.70/0.93 (step @p203 :rule aci_norm :args ((= (or @t190 @t43) @t198))) % 0.70/0.93 (step @p204 :rule refl :args (@t43)) % 0.70/0.93 (step @p205 :rule nary_cong :premises (@p167 @p204) :args ((or @t191 @t43))) % 0.70/0.93 (step @p206 :rule trans :premises (@p205 @p203)) % 0.70/0.93 (step @p207 :rule bool-impl-elim :args (@t44 @t43)) % 0.70/0.93 (step @p208 :rule trans :premises (@p207 @p206)) % 0.70/0.93 (step @p209 :rule nary_cong :premises (@p208 @p202) :args (@t45)) % 0.70/0.93 (step @p210 :rule cong :premises (@p209) :args (@t46)) % 0.70/0.93 (step @p211 :rule trans :premises (@p210 @p196)) % 0.70/0.93 (step @p212 :rule refl :args (@t47)) % 0.70/0.93 (step @p213 :rule nary_cong :premises (@p212 @p211) :args (@t48)) % 0.70/0.93 (step @p214 :rule trans :premises (@p213 @p191)) % 0.70/0.93 (step @p215 :rule cong :premises (@p214) :args (@t50)) % 0.70/0.93 (step @p216 :rule trans :premises (@p215 @p190)) % 0.70/0.93 (step @p217 :rule cong :premises (@p216 @p179) :args (@t70)) % 0.70/0.93 (step @p218 :rule eq_resolve :premises (@p4 @p217)) % 0.70/0.93 (step @p219 :rule implies_elim :premises (@p218)) % 0.70/0.93 (step @p220 :rule eq_resolve :premises (@p219 @p137)) % 0.70/0.93 (step @p221 :rule chain_m_resolution :premises (@p220 @p134) :args (@t176 @t167 (@list @t149))) % 0.70/0.93 (step @p222 :rule refl :args (@t177)) % 0.70/0.93 (step @p223 :rule bool-double-not-elim :args (@t214)) % 0.70/0.93 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or (not (not @t214)) @t177))) % 0.70/0.93 (step @p225 :rule aci_norm :args ((= (or @t108 (or @t212 @t206)) @t213))) % 0.70/0.93 (step @p226 :rule bool-and-de-morgan :args (@t211 @t205 true)) % 0.70/0.93 (step @p227 :rule refl :args (@t108)) % 0.70/0.93 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t108 (not @t215)))) % 0.70/0.93 (step @p229 :rule bool-and-de-morgan :args (@t9 @t211 (and @t205))) % 0.70/0.93 (step @p230 :rule trans :premises (@p229 @p228)) % 0.70/0.93 (step @p231 :rule trans :premises (@p230 @p225)) % 0.70/0.93 (step @p232 :rule cong :premises (@p231) :args (@t217)) % 0.70/0.93 (step @p233 :rule cong :premises (@p232) :args (@t218)) % 0.70/0.93 (step @p234 :rule exists-elim :args ((= (exists @t11 @t216) @t218))) % 0.70/0.93 (step @p235 :rule trans :premises (@p234 @p233)) % 0.70/0.93 (step @p236 :rule aci_norm :args ((= (and @t9 @t215) @t216))) % 0.70/0.93 (step @p237 :rule alpha_equiv :args (@t220 @t184 (@list @t201))) % 0.70/0.93 (step @p238 :rule alpha_equiv :args (@t222 @t184 (@list @t207))) % 0.70/0.93 (step @p239 :rule nary_cong :premises (@p238 @p237) :args (@t223)) % 0.70/0.93 (step @p240 :rule quant-miniscope-and :args ((= (forall @t7 (and @t221 @t219)) @t223))) % 0.70/0.93 (step @p241 :rule trans :premises (@p240 @p239)) % 0.70/0.93 (step @p242 :rule aci_norm :args ((= (or @t188 @t52) @t219))) % 0.70/0.93 (step @p243 :rule refl :args (@t52)) % 0.70/0.93 (step @p244 :rule nary_cong :premises (@p160 @p243) :args ((or @t189 @t52))) % 0.70/0.93 (step @p245 :rule trans :premises (@p244 @p242)) % 0.70/0.93 (step @p246 :rule bool-impl-elim :args (@t41 @t52)) % 0.70/0.93 (step @p247 :rule trans :premises (@p246 @p245)) % 0.70/0.93 (step @p248 :rule aci_norm :args ((= (or @t190 @t53) @t221))) % 0.70/0.93 (step @p249 :rule refl :args (@t53)) % 0.70/0.93 (step @p250 :rule nary_cong :premises (@p167 @p249) :args ((or @t191 @t53))) % 0.70/0.93 (step @p251 :rule trans :premises (@p250 @p248)) % 0.70/0.93 (step @p252 :rule bool-impl-elim :args (@t44 @t53)) % 0.70/0.93 (step @p253 :rule trans :premises (@p252 @p251)) % 0.70/0.93 (step @p254 :rule nary_cong :premises (@p253 @p247) :args (@t54)) % 0.70/0.93 (step @p255 :rule cong :premises (@p254) :args (@t55)) % 0.70/0.93 (step @p256 :rule trans :premises (@p255 @p241)) % 0.70/0.93 (step @p257 :rule nary_cong :premises (@p54 @p256) :args (@t56)) % 0.70/0.93 (step @p258 :rule trans :premises (@p257 @p236)) % 0.70/0.93 (step @p259 :rule cong :premises (@p258) :args (@t57)) % 0.70/0.93 (step @p260 :rule trans :premises (@p259 @p235)) % 0.70/0.93 (step @p261 :rule cong :premises (@p260 @p216) :args (@t58)) % 0.70/0.93 (step @p262 :rule eq_resolve :premises (@p3 @p261)) % 0.70/0.93 (step @p263 :rule implies_elim :premises (@p262)) % 0.70/0.93 (step @p264 :rule eq_resolve :premises (@p263 @p224)) % 0.70/0.93 (step @p265 :rule chain_m_resolution :premises (@p264 @p221) :args (@t214 @t167 (@list @t176))) % 0.70/0.93 (assume-push @p375 @t214) % 0.70/0.93 (step @p267 :rule instantiate :premises (@p375) :args ((@list @t128))) % 0.70/0.93 (step-pop @p376 :rule scope :premises (@p267)) % 0.70/0.93 (step @p268 :rule process_scope :premises (@p376) :args (@t230)) % 0.70/0.93 (step @p270 :rule implies_elim :premises (@p268)) % 0.70/0.93 (step @p271 :rule chain_m_resolution :premises (@p270 @p265) :args (@t230 @t167 (@list @t214))) % 0.70/0.93 (step @p272 :rule quant-merge-prenex :args ((= (forall @t11 @t240) (forall (@list @t3 @t235 @t234 @t232 @t231) @t238)))) % 0.70/0.93 (step @p273 :rule alpha_equiv :args (@t241 (@list @t232 @t231) @t244)) % 0.70/0.93 (step @p274 :rule quant-unused-vars :args ((= @t245 @t241))) % 0.70/0.93 (step @p275 :rule trans :premises (@p274 @p273)) % 0.70/0.93 (step @p276 :rule alpha_equiv :args (@t246 (@list @t235 @t234) @t249)) % 0.70/0.93 (step @p277 :rule quant-unused-vars :args ((= @t250 @t246))) % 0.70/0.93 (step @p278 :rule trans :premises (@p277 @p276)) % 0.70/0.93 (step @p279 :rule nary_cong :premises (@p278 @p275) :args (@t251)) % 0.70/0.93 (step @p280 :rule quant-miniscope-and :args ((= @t252 @t251))) % 0.70/0.93 (step @p281 :rule trans :premises (@p280 @p279)) % 0.70/0.93 (step @p282 :rule refl :args (@t107)) % 0.70/0.93 (step @p283 :rule nary_cong :premises (@p227 @p282 @p281) :args (@t253)) % 0.70/0.93 (step @p284 :rule quant-miniscope-or :args ((= @t240 @t253))) % 0.70/0.93 (step @p285 :rule trans :premises (@p284 @p283)) % 0.70/0.93 (step @p286 :rule symm :premises (@p285)) % 0.70/0.93 (step @p287 :rule cong :premises (@p286) :args ((forall @t11 @t255))) % 0.70/0.93 (step @p288 :rule trans :premises (@p287 @p272)) % 0.70/0.93 (step @p289 :rule aci_norm :args ((= (or @t109 @t254) @t255))) % 0.70/0.93 (step @p290 :rule refl :args (@t254)) % 0.70/0.93 (step @p291 :rule nary_cong :premises (@p37 @p290) :args ((or @t113 @t254))) % 0.70/0.93 (step @p292 :rule trans :premises (@p291 @p289)) % 0.70/0.93 (step @p293 :rule bool-impl-elim :args (@t112 @t254)) % 0.70/0.93 (step @p294 :rule trans :premises (@p293 @p292)) % 0.70/0.93 (step @p295 :rule cong :premises (@p294) :args ((forall @t11 (=> @t112 @t254)))) % 0.70/0.93 (step @p296 :rule trans :premises (@p295 @p288)) % 0.70/0.93 (step @p297 :rule alpha_equiv :args (@t257 @t258 @t244)) % 0.70/0.93 (step @p298 :rule alpha_equiv :args (@t260 @t258 @t249)) % 0.70/0.93 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t261)) % 0.70/0.93 (step @p300 :rule quant-miniscope-and :args ((= (forall @t31 (and @t259 @t256)) @t261))) % 0.70/0.93 (step @p301 :rule trans :premises (@p300 @p299)) % 0.70/0.93 (step @p302 :rule aci_norm :args ((= (or (or @t96 @t24) @t23) @t256))) % 0.70/0.93 (step @p303 :rule refl :args (@t23)) % 0.70/0.93 (step @p304 :rule bool-double-not-elim :args (@t24)) % 0.70/0.93 (step @p305 :rule nary_cong :premises (@p44 @p304) :args ((or @t96 (not @t25)))) % 0.70/0.93 (step @p306 :rule bool-and-de-morgan :args (@t6 @t25 true)) % 0.70/0.93 (step @p307 :rule trans :premises (@p306 @p305)) % 0.70/0.93 (step @p308 :rule nary_cong :premises (@p307 @p303) :args ((or (not @t26) @t23))) % 0.70/0.93 (step @p309 :rule trans :premises (@p308 @p302)) % 0.70/0.93 (step @p310 :rule bool-impl-elim :args (@t26 @t23)) % 0.70/0.93 (step @p311 :rule trans :premises (@p310 @p309)) % 0.70/0.93 (step @p312 :rule aci_norm :args ((= (or (or @t96 @t25) @t28) @t259))) % 0.70/0.93 (step @p313 :rule refl :args (@t28)) % 0.70/0.93 (step @p314 :rule bool-and-de-morgan :args (@t6 @t24 true)) % 0.70/0.93 (step @p315 :rule nary_cong :premises (@p314 @p313) :args ((or (not @t29) @t28))) % 0.70/0.93 (step @p316 :rule trans :premises (@p315 @p312)) % 0.70/0.93 (step @p317 :rule bool-impl-elim :args (@t29 @t28)) % 0.70/0.93 (step @p318 :rule trans :premises (@p317 @p316)) % 0.70/0.93 (step @p319 :rule nary_cong :premises (@p318 @p311) :args (@t30)) % 0.70/0.93 (step @p320 :rule cong :premises (@p319) :args (@t32)) % 0.70/0.93 (step @p321 :rule trans :premises (@p320 @p301)) % 0.70/0.93 (step @p322 :rule cong :premises (@p55 @p321) :args (@t33)) % 0.70/0.93 (step @p323 :rule cong :premises (@p322) :args (@t34)) % 0.70/0.93 (step @p324 :rule trans :premises (@p323 @p296)) % 0.70/0.93 (step @p325 :rule eq_resolve :premises (@p2 @p324)) % 0.70/0.93 (step @p326 :rule instantiate :premises (@p325) :args ((@list @t128 @t150 @t263 @t262 @t262))) % 0.70/0.93 (step @p327 :rule bool-double-not-elim :args (@t130)) % 0.70/0.93 (step @p328 :rule nary_cong :premises (@p85 @p327) :args ((or @t133 (not @t131)))) % 0.70/0.93 (step @p329 :rule cnf_or_neg :args (@t133 1)) % 0.70/0.93 (step @p330 :rule eq_resolve :premises (@p329 @p328)) % 0.70/0.93 (step @p331 :rule reordering :premises (@p330) :args ((or @t130 @t133))) % 0.70/0.93 (step @p332 :rule chain_m_resolution :premises (@p331 @p83) :args (@t130 @t101 @t134)) % 0.70/0.93 (step @p333 :rule cnf_or_pos :args (@t266)) % 0.70/0.93 (step @p334 :rule reordering :premises (@p333) :args ((or @t132 @t131 @t265 (not @t266)))) % 0.70/0.93 (step @p335 :rule chain_m_resolution :premises (@p334 @p90 @p332 @p326) :args (@t265 @t267 (@list @t129 @t130 @t266))) % 0.70/0.93 (step @p336 :rule cnf_and_pos :args (@t265 1)) % 0.70/0.93 (step @p337 :rule reordering :premises (@p336) :args ((or @t264 (not @t265)))) % 0.70/0.93 (step @p338 :rule chain_m_resolution :premises (@p337 @p335) :args (@t264 @t167 (@list @t265))) % 0.70/0.93 (step @p339 :rule refl :args (@t268)) % 0.70/0.93 (step @p340 :rule bool-double-not-elim :args (@t225)) % 0.70/0.93 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or (not @t226) @t268))) % 0.70/0.93 (assume-push @p377 @t226) % 0.70/0.93 (step @p343 :rule skolemize :premises (@p377)) % 0.70/0.93 (step-pop @p378 :rule scope :premises (@p343)) % 0.70/0.93 (step @p344 :rule process_scope :premises (@p378) :args (@t268)) % 0.70/0.93 (step @p346 :rule implies_elim :premises (@p344)) % 0.70/0.93 (step @p347 :rule eq_resolve :premises (@p346 @p341)) % 0.70/0.93 (step @p348 :rule chain_m_resolution :premises (@p347 @p338) :args (@t225 @t167 (@list @t264))) % 0.70/0.93 (step @p349 :rule instantiate :premises (@p325) :args ((@list @t128 @t270 @t270 @t150 @t269))) % 0.70/0.93 (step @p350 :rule cnf_or_pos :args (@t273)) % 0.70/0.93 (step @p351 :rule reordering :premises (@p350) :args ((or @t132 @t131 @t272 (not @t273)))) % 0.70/0.93 (step @p352 :rule chain_m_resolution :premises (@p351 @p90 @p332 @p349) :args (@t272 @t267 (@list @t129 @t130 @t273))) % 0.70/0.93 (step @p353 :rule cnf_and_pos :args (@t272 0)) % 0.70/0.93 (step @p354 :rule reordering :premises (@p353) :args ((or @t271 (not @t272)))) % 0.70/0.93 (step @p355 :rule chain_m_resolution :premises (@p354 @p352) :args (@t271 @t167 (@list @t272))) % 0.70/0.93 (step @p356 :rule refl :args (@t274)) % 0.70/0.93 (step @p357 :rule bool-double-not-elim :args (@t228)) % 0.70/0.93 (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or (not @t229) @t274))) % 0.70/0.93 (assume-push @p379 @t229) % 0.70/0.93 (step @p360 :rule skolemize :premises (@p379)) % 0.70/0.93 (step-pop @p380 :rule scope :premises (@p360)) % 0.70/0.93 (step @p361 :rule process_scope :premises (@p380) :args (@t274)) % 0.70/0.93 (step @p363 :rule implies_elim :premises (@p361)) % 0.70/0.93 (step @p364 :rule eq_resolve :premises (@p363 @p358)) % 0.70/0.93 (step @p365 :rule chain_m_resolution :premises (@p364 @p355) :args (@t228 @t167 (@list @t271))) % 0.70/0.93 (step @p366 :rule cnf_or_pos :args (@t230)) % 0.70/0.93 (step @p367 :rule reordering :premises (@p366) :args ((or @t132 @t229 @t226 (not @t230)))) % 0.70/0.93 (step @p368 false :rule chain_m_resolution :premises (@p367 @p365 @p348 @p271 @p90) :args (false (@list false false false false) (@list @t228 @t225 @t230 @t129))) % 0.70/0.93 ) % 0.70/0.93 % SZS output end Proof % 0.70/0.93 % cvc5 exiting %------------------------------------------------------------------------------