%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO903_10 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:13:45 AM UTC 2026 % Result : Theorem 0.43s 0.66s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO903_10 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:09:39 EDT 2026 % 0.16/0.34 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.66 % SZS status Theorem % 0.43/0.66 % SZS output start Proof % 0.43/0.66 ( % 0.43/0.66 (declare-sort |tptp.'$ki_world'| 0) % 0.43/0.66 (declare-const tptp.v3 (-> |tptp.'$ki_world'| Bool)) % 0.43/0.66 (declare-const tptp.v2 (-> |tptp.'$ki_world'| Bool)) % 0.43/0.66 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.43/0.66 (declare-const tptp.v1 (-> |tptp.'$ki_world'| Bool)) % 0.43/0.66 (declare-const tptp.v4 (-> |tptp.'$ki_world'| Bool)) % 0.43/0.66 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.43/0.66 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t2 () (@list @t1)) % 0.43/0.66 (define @t3 () (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.43/0.66 (define @t4 () (@var "U" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t5 () (|tptp.'$ki_accessible'| @t1 @t4)) % 0.43/0.66 (define @t6 () (@var "V" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t7 () (|tptp.'$ki_accessible'| @t6 @t4)) % 0.43/0.66 (define @t8 () (|tptp.'$ki_accessible'| @t1 @t6)) % 0.43/0.66 (define @t9 () (and @t8 @t7)) % 0.43/0.66 (define @t10 () (@list @t1 @t6 @t4)) % 0.43/0.66 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.43/0.66 (define @t12 () (@var "W0" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t13 () (tptp.v1 @t12)) % 0.43/0.66 (define @t14 () (not @t13)) % 0.43/0.66 (define @t15 () (|tptp.'$ki_accessible'| @t1 @t12)) % 0.43/0.66 (define @t16 () (@list @t12)) % 0.43/0.66 (define @t17 () (forall @t16 (=> @t15 @t14))) % 0.43/0.66 (define @t18 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.43/0.66 (define @t19 () (=> @t18 @t17)) % 0.43/0.66 (define @t20 () (forall @t2 @t19)) % 0.43/0.66 (define @t21 () (tptp.v3 |tptp.'$ki_local_world'|)) % 0.43/0.66 (define @t22 () (tptp.v2 |tptp.'$ki_local_world'|)) % 0.43/0.66 (define @t23 () (tptp.v1 |tptp.'$ki_local_world'|)) % 0.43/0.66 (define @t24 () (tptp.v3 @t12)) % 0.43/0.66 (define @t25 () (not @t24)) % 0.43/0.66 (define @t26 () (forall @t16 (=> @t15 @t25))) % 0.43/0.66 (define @t27 () (=> @t18 @t26)) % 0.43/0.66 (define @t28 () (forall @t2 @t27)) % 0.43/0.66 (define @t29 () (not @t21)) % 0.43/0.66 (define @t30 () (or @t23 @t22 @t29 @t28)) % 0.43/0.66 (define @t31 () (tptp.v4 @t12)) % 0.43/0.66 (define @t32 () (not @t31)) % 0.43/0.66 (define @t33 () (forall @t16 (=> @t15 @t32))) % 0.43/0.66 (define @t34 () (=> @t18 @t33)) % 0.43/0.66 (define @t35 () (forall @t2 @t34)) % 0.43/0.66 (define @t36 () (forall @t16 (=> @t15 @t13))) % 0.43/0.66 (define @t37 () (=> @t18 @t36)) % 0.43/0.66 (define @t38 () (forall @t2 @t37)) % 0.43/0.66 (define @t39 () (tptp.v3 @t1)) % 0.43/0.66 (define @t40 () (forall @t2 (=> @t18 (not @t39)))) % 0.43/0.66 (define @t41 () (forall @t16 (=> @t15 @t31))) % 0.43/0.66 (define @t42 () (=> @t18 @t41)) % 0.43/0.66 (define @t43 () (forall @t2 @t42)) % 0.43/0.66 (define @t44 () (forall @t16 (=> @t15 @t24))) % 0.43/0.66 (define @t45 () (=> @t18 @t44)) % 0.43/0.66 (define @t46 () (forall @t2 @t45)) % 0.43/0.66 (define @t47 () (or @t23 @t21 @t46 @t43)) % 0.43/0.66 (define @t48 () (tptp.v1 @t1)) % 0.43/0.66 (define @t49 () (not @t48)) % 0.43/0.66 (define @t50 () (forall @t2 (=> @t18 @t49))) % 0.43/0.66 (define @t51 () (tptp.v4 |tptp.'$ki_local_world'|)) % 0.43/0.66 (define @t52 () (or @t23 @t51 @t50 @t20)) % 0.43/0.66 (define @t53 () (tptp.v2 @t12)) % 0.43/0.66 (define @t54 () (not @t53)) % 0.43/0.66 (define @t55 () (forall @t16 (=> @t15 @t54))) % 0.43/0.66 (define @t56 () (=> @t18 @t55)) % 0.43/0.66 (define @t57 () (forall @t2 @t56)) % 0.43/0.66 (define @t58 () (not @t51)) % 0.43/0.66 (define @t59 () (not @t22)) % 0.43/0.66 (define @t60 () (or @t23 @t59 @t58 @t57)) % 0.43/0.66 (define @t61 () (tptp.v4 @t1)) % 0.43/0.66 (define @t62 () (forall @t2 (=> @t18 @t61))) % 0.43/0.66 (define @t63 () (or @t23 @t29 @t50 @t20)) % 0.43/0.66 (define @t64 () (forall @t2 (=> @t18 @t48))) % 0.43/0.66 (define @t65 () (tptp.v2 @t1)) % 0.43/0.66 (define @t66 () (forall @t2 (=> @t18 @t65))) % 0.43/0.66 (define @t67 () (forall @t16 (=> @t15 @t53))) % 0.43/0.66 (define @t68 () (=> @t18 @t67)) % 0.43/0.66 (define @t69 () (forall @t2 @t68)) % 0.43/0.66 (define @t70 () (not @t65)) % 0.43/0.66 (define @t71 () (forall @t2 (=> @t18 @t70))) % 0.43/0.66 (define @t72 () (not @t23)) % 0.43/0.66 (define @t73 () (or @t22 @t62 @t69 @t46)) % 0.43/0.66 (define @t74 () (or @t21 @t51 @t38 @t35)) % 0.43/0.66 (define @t75 () (or @t51 @t72 @t50 @t46)) % 0.43/0.66 (define @t76 () (forall @t2 (=> @t18 @t39))) % 0.43/0.66 (define @t77 () (not @t61)) % 0.43/0.66 (define @t78 () (forall @t2 (=> @t18 @t77))) % 0.43/0.66 (define @t79 () (or @t72 @t29 @t20 @t28)) % 0.43/0.66 (define @t80 () (or @t59 @t29 @t38 @t43)) % 0.43/0.66 (define @t81 () (or @t59 @t58 @t71 @t46)) % 0.43/0.66 (define @t82 () (or @t29 @t76 @t78 @t46)) % 0.43/0.66 (define @t83 () (or @t58 @t76 @t69 @t35)) % 0.43/0.66 (define @t84 () (and @t18 true)) % 0.43/0.66 (define @t85 () (exists @t2 @t84)) % 0.43/0.66 (define @t86 () (@list |tptp.'$ki_local_world'|)) % 0.43/0.66 (define @t87 () (@var "BOUND_VARIABLE_7653" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t88 () (tptp.v3 @t87)) % 0.43/0.66 (define @t89 () (not (|tptp.'$ki_accessible'| @t1 @t87))) % 0.43/0.66 (define @t90 () (not @t18)) % 0.43/0.66 (define @t91 () (or @t90 @t89 @t88)) % 0.43/0.66 (define @t92 () (@list @t1 @t87)) % 0.43/0.66 (define @t93 () (forall @t92 @t91)) % 0.43/0.66 (define @t94 () (@list |tptp.'$ki_local_world'| |tptp.'$ki_local_world'|)) % 0.43/0.66 (define @t95 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| |tptp.'$ki_local_world'|)) % 0.43/0.66 (define @t96 () (not @t95)) % 0.43/0.66 (define @t97 () (or @t96 @t96 @t21)) % 0.43/0.66 (define @t98 () (forall @t2 @t90)) % 0.43/0.66 (define @t99 () (@quantifiers_skolemize @t98 0)) % 0.43/0.66 (define @t100 () (@list |tptp.'$ki_local_world'| @t99)) % 0.43/0.66 (define @t101 () (tptp.v3 @t99)) % 0.43/0.66 (define @t102 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t99)) % 0.43/0.66 (define @t103 () (not @t102)) % 0.43/0.66 (define @t104 () (or @t96 @t103 @t101)) % 0.43/0.66 (define @t105 () (forall @t2 (or @t90 @t49))) % 0.43/0.66 (define @t106 () (@quantifiers_skolemize @t105 0)) % 0.43/0.66 (define @t107 () (tptp.v1 @t106)) % 0.43/0.66 (define @t108 () (not @t107)) % 0.43/0.66 (define @t109 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t106)) % 0.43/0.66 (define @t110 () (not @t109)) % 0.43/0.66 (define @t111 () (or @t110 @t108)) % 0.43/0.66 (define @t112 () (not @t111)) % 0.43/0.66 (define @t113 () (not @t105)) % 0.43/0.66 (define @t114 () (or @t96 @t110 @t108)) % 0.43/0.66 (define @t115 () (@var "BOUND_VARIABLE_7572" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t116 () (not (tptp.v1 @t115))) % 0.43/0.66 (define @t117 () (not (|tptp.'$ki_accessible'| @t1 @t115))) % 0.43/0.66 (define @t118 () (or @t90 @t117 @t116)) % 0.43/0.66 (define @t119 () (@list @t1 @t115)) % 0.43/0.66 (define @t120 () (forall @t119 @t118)) % 0.43/0.66 (define @t121 () (not @t98)) % 0.43/0.66 (define @t122 () (not @t103)) % 0.43/0.66 (define @t123 () (@list true)) % 0.43/0.66 (define @t124 () (or @t117 @t116)) % 0.43/0.66 (define @t125 () (or @t90 @t124)) % 0.43/0.66 (define @t126 () (forall @t119 @t125)) % 0.43/0.66 (define @t127 () (@list @t115)) % 0.43/0.66 (define @t128 () (forall @t127 @t125)) % 0.43/0.66 (define @t129 () (forall @t127 @t124)) % 0.43/0.66 (define @t130 () (@list @t12)) % 0.43/0.66 (define @t131 () (or @t90 @t129)) % 0.43/0.66 (define @t132 () (not @t15)) % 0.43/0.66 (define @t133 () (forall @t16 (or @t132 @t14))) % 0.43/0.66 (define @t134 () (not @t101)) % 0.43/0.66 (define @t135 () (or @t96 @t103 @t134)) % 0.43/0.66 (define @t136 () (@var "BOUND_VARIABLE_7592" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t137 () (not (tptp.v3 @t136))) % 0.43/0.66 (define @t138 () (not (|tptp.'$ki_accessible'| @t1 @t136))) % 0.43/0.66 (define @t139 () (or @t90 @t138 @t137)) % 0.43/0.66 (define @t140 () (or @t138 @t137)) % 0.43/0.66 (define @t141 () (or @t90 @t140)) % 0.43/0.66 (define @t142 () (@list @t1 @t136)) % 0.43/0.66 (define @t143 () (forall @t142 @t141)) % 0.43/0.66 (define @t144 () (@list @t136)) % 0.43/0.66 (define @t145 () (forall @t144 @t141)) % 0.43/0.66 (define @t146 () (forall @t144 @t140)) % 0.43/0.66 (define @t147 () (or @t90 @t146)) % 0.43/0.66 (define @t148 () (forall @t16 (or @t132 @t25))) % 0.43/0.66 (define @t149 () (forall @t142 @t139)) % 0.43/0.66 (define @t150 () (not @t93)) % 0.43/0.66 (define @t151 () (or @t96 @t72)) % 0.43/0.66 (define @t152 () (tptp.v1 @t99)) % 0.43/0.66 (define @t153 () (not @t152)) % 0.43/0.66 (define @t154 () (or @t103 @t153)) % 0.43/0.66 (define @t155 () (or @t96 @t103 @t152)) % 0.43/0.66 (define @t156 () (or @t96 @t96 @t59)) % 0.43/0.66 (define @t157 () (@var "BOUND_VARIABLE_7634" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t158 () (tptp.v1 @t157)) % 0.43/0.66 (define @t159 () (not (|tptp.'$ki_accessible'| @t1 @t157))) % 0.43/0.66 (define @t160 () (or @t90 @t159 @t158)) % 0.43/0.66 (define @t161 () (@list @t1 @t157)) % 0.43/0.66 (define @t162 () (forall @t161 @t160)) % 0.43/0.66 (define @t163 () (@var "BOUND_VARIABLE_7693" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t164 () (not (tptp.v2 @t163))) % 0.43/0.66 (define @t165 () (not (|tptp.'$ki_accessible'| @t1 @t163))) % 0.43/0.66 (define @t166 () (or @t90 @t165 @t164)) % 0.43/0.66 (define @t167 () (@list @t1 @t163)) % 0.43/0.66 (define @t168 () (forall @t167 @t166)) % 0.43/0.66 (define @t169 () (@var "BOUND_VARIABLE_7670" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t170 () (tptp.v4 @t169)) % 0.43/0.66 (define @t171 () (not (|tptp.'$ki_accessible'| @t1 @t169))) % 0.43/0.66 (define @t172 () (or @t90 @t171 @t170)) % 0.43/0.66 (define @t173 () (or @t171 @t170)) % 0.43/0.66 (define @t174 () (or @t90 @t173)) % 0.43/0.66 (define @t175 () (@list @t1 @t169)) % 0.43/0.66 (define @t176 () (forall @t175 @t174)) % 0.43/0.66 (define @t177 () (@list @t169)) % 0.43/0.66 (define @t178 () (forall @t177 @t174)) % 0.43/0.66 (define @t179 () (forall @t177 @t173)) % 0.43/0.66 (define @t180 () (or @t90 @t179)) % 0.43/0.66 (define @t181 () (forall @t16 (or @t132 @t31))) % 0.43/0.66 (define @t182 () (or @t159 @t158)) % 0.43/0.66 (define @t183 () (or @t90 @t182)) % 0.43/0.66 (define @t184 () (forall @t161 @t183)) % 0.43/0.66 (define @t185 () (@list @t157)) % 0.43/0.66 (define @t186 () (forall @t185 @t183)) % 0.43/0.66 (define @t187 () (forall @t185 @t182)) % 0.43/0.66 (define @t188 () (or @t90 @t187)) % 0.43/0.66 (define @t189 () (forall @t16 (or @t132 @t13))) % 0.43/0.66 (define @t190 () (forall @t175 @t172)) % 0.43/0.66 (define @t191 () (or @t165 @t164)) % 0.43/0.66 (define @t192 () (or @t90 @t191)) % 0.43/0.66 (define @t193 () (forall @t167 @t192)) % 0.43/0.66 (define @t194 () (@list @t163)) % 0.43/0.66 (define @t195 () (forall @t194 @t192)) % 0.43/0.66 (define @t196 () (forall @t194 @t191)) % 0.43/0.66 (define @t197 () (or @t90 @t196)) % 0.43/0.66 (define @t198 () (forall @t16 (or @t132 @t54))) % 0.43/0.66 (define @t199 () (or @t96 @t96 @t51)) % 0.43/0.66 (define @t200 () (or @t89 @t88)) % 0.43/0.66 (define @t201 () (or @t90 @t200)) % 0.43/0.66 (define @t202 () (forall @t92 @t201)) % 0.43/0.66 (define @t203 () (@list @t87)) % 0.43/0.66 (define @t204 () (forall @t203 @t201)) % 0.43/0.66 (define @t205 () (forall @t203 @t200)) % 0.43/0.66 (define @t206 () (or @t90 @t205)) % 0.43/0.66 (define @t207 () (forall @t16 (or @t132 @t24))) % 0.43/0.66 (define @t208 () (forall @t2 (or @t90 @t70))) % 0.43/0.66 (define @t209 () (@quantifiers_skolemize @t93 1)) % 0.43/0.66 (define @t210 () (tptp.v3 @t209)) % 0.43/0.66 (define @t211 () (@quantifiers_skolemize @t93 0)) % 0.43/0.66 (define @t212 () (|tptp.'$ki_accessible'| @t211 @t209)) % 0.43/0.66 (define @t213 () (not @t212)) % 0.43/0.66 (define @t214 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t211)) % 0.43/0.66 (define @t215 () (not @t214)) % 0.43/0.66 (define @t216 () (or @t215 @t213 @t210)) % 0.43/0.66 (define @t217 () (not @t216)) % 0.43/0.66 (define @t218 () (not @t7)) % 0.43/0.66 (define @t219 () (not @t8)) % 0.43/0.66 (define @t220 () (or @t219 @t218 @t5)) % 0.43/0.66 (define @t221 () (forall @t10 @t220)) % 0.43/0.66 (define @t222 () (@list |tptp.'$ki_local_world'| @t211 @t209)) % 0.43/0.66 (define @t223 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t209)) % 0.43/0.66 (define @t224 () (or @t215 @t213 @t223)) % 0.43/0.66 (define @t225 () (not @t223)) % 0.43/0.66 (define @t226 () (or @t225 @t210)) % 0.43/0.66 (define @t227 () (not @t226)) % 0.43/0.66 (define @t228 () (forall @t2 (or @t90 @t39))) % 0.43/0.66 (define @t229 () (@list @t209)) % 0.43/0.66 (define @t230 () (forall @t2 (or @t90 @t77))) % 0.43/0.66 (define @t231 () (@list @t211 @t209)) % 0.43/0.66 (define @t232 () (tptp.v4 @t209)) % 0.43/0.66 (define @t233 () (or @t215 @t213 @t232)) % 0.43/0.66 (define @t234 () (not @t232)) % 0.43/0.66 (define @t235 () (or @t225 @t234)) % 0.43/0.66 (define @t236 () (@var "BOUND_VARIABLE_7612" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t237 () (not (tptp.v4 @t236))) % 0.43/0.66 (define @t238 () (not (|tptp.'$ki_accessible'| @t1 @t236))) % 0.43/0.66 (define @t239 () (or @t90 @t238 @t237)) % 0.43/0.66 (define @t240 () (or @t238 @t237)) % 0.43/0.66 (define @t241 () (or @t90 @t240)) % 0.43/0.66 (define @t242 () (@list @t1 @t236)) % 0.43/0.66 (define @t243 () (forall @t242 @t241)) % 0.43/0.66 (define @t244 () (@list @t236)) % 0.43/0.66 (define @t245 () (forall @t244 @t241)) % 0.43/0.66 (define @t246 () (forall @t244 @t240)) % 0.43/0.66 (define @t247 () (or @t90 @t246)) % 0.43/0.66 (define @t248 () (forall @t16 (or @t132 @t32))) % 0.43/0.66 (define @t249 () (forall @t242 @t239)) % 0.43/0.66 (define @t250 () (or @t215 @t213 @t234)) % 0.43/0.66 (define @t251 () (@quantifiers_skolemize @t168 1)) % 0.43/0.66 (define @t252 () (tptp.v2 @t251)) % 0.43/0.66 (define @t253 () (not @t252)) % 0.43/0.66 (define @t254 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t251)) % 0.43/0.66 (define @t255 () (not @t254)) % 0.43/0.66 (define @t256 () (or @t255 @t253)) % 0.43/0.66 (define @t257 () (@quantifiers_skolemize @t168 0)) % 0.43/0.66 (define @t258 () (|tptp.'$ki_accessible'| @t257 @t251)) % 0.43/0.66 (define @t259 () (not @t258)) % 0.43/0.66 (define @t260 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t257)) % 0.43/0.66 (define @t261 () (not @t260)) % 0.43/0.66 (define @t262 () (or @t261 @t259 @t253)) % 0.43/0.66 (define @t263 () (not @t262)) % 0.43/0.66 (define @t264 () (not @t168)) % 0.43/0.66 (define @t265 () (or @t261 @t259 @t254)) % 0.43/0.66 (define @t266 () (or @t96 @t96 @t22)) % 0.43/0.66 (define @t267 () (not @t266)) % 0.43/0.66 (define @t268 () (@list true false)) % 0.43/0.66 (define @t269 () (@var "BOUND_VARIABLE_7737" |tptp.'$ki_world'|)) % 0.43/0.66 (define @t270 () (tptp.v2 @t269)) % 0.43/0.66 (define @t271 () (not (|tptp.'$ki_accessible'| @t1 @t269))) % 0.43/0.66 (define @t272 () (or @t90 @t271 @t270)) % 0.43/0.66 (define @t273 () (@list @t1 @t269)) % 0.43/0.66 (define @t274 () (forall @t273 @t272)) % 0.43/0.66 (define @t275 () (or @t271 @t270)) % 0.43/0.66 (define @t276 () (or @t90 @t275)) % 0.43/0.66 (define @t277 () (forall @t273 @t276)) % 0.43/0.66 (define @t278 () (@list @t269)) % 0.43/0.66 (define @t279 () (forall @t278 @t276)) % 0.43/0.66 (define @t280 () (forall @t278 @t275)) % 0.43/0.66 (define 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:args (@t262 1)) % 0.43/0.67 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 0.43/0.67 (step @p441 :rule reordering :premises (@p440) :args ((or @t258 @t262))) % 0.43/0.67 (step @p442 :rule bool-double-not-elim :args (@t252)) % 0.43/0.67 (step @p443 :rule nary_cong :premises (@p432 @p442) :args ((or @t262 (not @t253)))) % 0.43/0.67 (step @p444 :rule cnf_or_neg :args (@t262 2)) % 0.43/0.67 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 0.43/0.67 (step @p446 :rule reordering :premises (@p445) :args ((or @t252 @t262))) % 0.43/0.67 (step @p447 :rule instantiate :premises (@p346) :args ((@list |tptp.'$ki_local_world'| @t257 @t251))) % 0.43/0.67 (step @p448 :rule cnf_or_pos :args (@t265)) % 0.43/0.67 (step @p449 :rule reordering :premises (@p448) :args ((or @t261 @t259 @t254 (not @t265)))) % 0.43/0.67 (step @p450 :rule cnf_or_pos :args (@t256)) % 0.43/0.67 (step @p451 :rule reordering :premises (@p450) :args ((or @t253 @t255 (not @t256)))) % 0.43/0.67 (step @p452 :rule chain_m_resolution :premises (@p451 @p449 @p447 @p446 @p441 @p436 @p430 @p212 @p421 @p202 @p56 @p416 @p285) :args (@t59 (@list false false false false false true true false true false false true) (@list @t254 @t265 @t252 @t258 @t260 @t262 @t168 @t256 @t156 @t95 @t208 @t93))) % 0.43/0.67 (step @p453 :rule cnf_or_pos :args (@t266)) % 0.43/0.67 (step @p454 :rule factoring :premises (@p453)) % 0.43/0.67 (step @p455 :rule reordering :premises (@p454) :args ((or @t22 @t96 @t267))) % 0.43/0.67 (step @p456 :rule chain_m_resolution :premises (@p455 @p452 @p56) :args (@t267 @t268 (@list @t22 @t95))) % 0.43/0.67 (assume-push @p559 @t274) % 0.43/0.67 (step @p458 :rule instantiate :premises (@p559) :args (@t94)) % 0.43/0.67 (step-pop @p560 :rule scope :premises (@p458)) % 0.43/0.67 (step @p459 :rule process_scope :premises (@p560) :args (@t266)) % 0.43/0.67 (step @p461 :rule implies_elim :premises (@p459)) % 0.43/0.67 (step @p462 :rule chain_m_resolution :premises (@p461 @p456) :args ((not @t274) @t123 (@list @t266))) % 0.43/0.67 (step @p463 :rule aci_norm :args ((= @t276 @t272))) % 0.43/0.67 (step @p464 :rule cong :premises (@p463) :args (@t277)) % 0.43/0.67 (step @p465 :rule quant-merge-prenex :args ((= (forall @t2 @t279) @t277))) % 0.43/0.67 (step @p466 :rule alpha_equiv :args (@t280 (@list @t269) @t130)) % 0.43/0.67 (step @p467 :rule nary_cong :premises (@p126 @p466) :args (@t281)) % 0.43/0.67 (step @p468 :rule quant-miniscope-or :args ((= @t279 @t281))) % 0.43/0.67 (step @p469 :rule trans :premises (@p468 @p467)) % 0.43/0.67 (step @p470 :rule symm :premises (@p469)) % 0.43/0.67 (step @p471 :rule cong :premises (@p470) :args ((forall @t2 (or @t90 @t282)))) % 0.43/0.67 (step @p472 :rule trans :premises (@p471 @p465)) % 0.43/0.67 (step @p473 :rule trans :premises (@p472 @p464)) % 0.43/0.67 (step @p474 :rule bool-impl-elim :args (@t18 @t282)) % 0.43/0.67 (step @p475 :rule cong :premises (@p474) :args ((forall @t2 (=> @t18 @t282)))) % 0.43/0.67 (step @p476 :rule trans :premises (@p475 @p473)) % 0.43/0.67 (step @p477 :rule bool-impl-elim :args (@t15 @t53)) % 0.43/0.67 (step @p478 :rule cong :premises (@p477) :args (@t67)) % 0.43/0.67 (step @p479 :rule cong :premises (@p139 @p478) :args (@t68)) % 0.43/0.67 (step @p480 :rule cong :premises (@p479) :args (@t69)) % 0.43/0.67 (step @p481 :rule trans :premises (@p480 @p476)) % 0.43/0.67 (step @p482 :rule bool-impl-elim :args (@t18 @t61)) % 0.43/0.67 (step @p483 :rule cong :premises (@p482) :args (@t62)) % 0.43/0.67 (step @p484 :rule nary_cong :premises (@p195 @p483 @p481 @p304) :args (@t73)) % 0.43/0.67 (step @p485 :rule eq_resolve :premises (@p21 @p484)) % 0.43/0.67 (step @p486 :rule reordering :premises (@p485) :args ((or @t22 @t93 @t283 @t274))) % 0.43/0.67 (step @p487 :rule chain_m_resolution :premises (@p486 @p452 @p285 @p462) :args (@t283 (@list true true true) (@list @t22 @t93 @t274))) % 0.43/0.67 (step @p348 :rule instantiate :premises (@p346) :args (@t222)) % 0.43/0.67 (step @p488 :rule chain_m_resolution :premises (@p326 @p285) :args (@t217 @t123 (@list @t93))) % 0.43/0.67 (step @p489 :rule chain_m_resolution :premises (@p337 @p488) :args (@t212 @t123 @t284)) % 0.43/0.67 (step @p490 :rule chain_m_resolution :premises (@p332 @p488) :args (@t214 @t123 @t284)) % 0.43/0.67 (step @p491 :rule chain_m_resolution :premises (@p353 @p490 @p489 @p348) :args (@t223 @t285 (@list @t214 @t212 @t224))) % 0.43/0.67 (step @p492 :rule chain_m_resolution :premises (@p354 @p488) :args ((not @t210) @t123 @t284)) % 0.43/0.67 (step @p493 :rule chain_m_resolution :premises (@p356 @p492 @p491) :args (@t227 @t268 (@list @t210 @t223))) % 0.43/0.67 (step @p494 :rule chain_m_resolution :premises (@p361 @p493) :args ((not @t228) @t123 (@list @t226))) % 0.43/0.67 (assume-push @p561 @t283) % 0.43/0.67 (step @p496 :rule instantiate :premises (@p561) :args (@t86)) % 0.43/0.67 (step-pop @p562 :rule scope :premises (@p496)) % 0.43/0.67 (step @p497 :rule process_scope :premises (@p562) :args (@t286)) % 0.43/0.67 (step @p499 :rule implies_elim :premises (@p497)) % 0.43/0.67 (step @p500 :rule chain_m_resolution :premises (@p499 @p487) :args (@t286 @t287 (@list @t283))) % 0.43/0.67 (step @p501 :rule cnf_or_pos :args (@t286)) % 0.43/0.67 (step @p502 :rule reordering :premises (@p501) :args ((or @t51 @t96 (not @t286)))) % 0.43/0.67 (step @p503 :rule chain_m_resolution :premises (@p502 @p56 @p500) :args (@t51 (@list false false) (@list @t95 @t286))) % 0.43/0.67 (step @p504 :rule nary_cong :premises (@p274 @p365 @p481 @p402) :args (@t83)) % 0.43/0.67 (step @p505 :rule eq_resolve :premises (@p50 @p504)) % 0.43/0.67 (step @p506 :rule reordering :premises (@p505) :args ((or @t58 @t249 @t274 @t228))) % 0.43/0.67 (step @p507 :rule chain_m_resolution :premises (@p506 @p503 @p462 @p494) :args (@t249 (@list false true true) (@list @t51 @t274 @t228))) % 0.43/0.67 (step @p508 :rule chain_m_resolution :premises (@p413 @p507) :args (@t250 @t287 (@list @t249))) % 0.43/0.67 (step @p509 :rule chain_m_resolution :premises (@p415 @p490 @p489 @p508) :args (@t234 @t285 (@list @t214 @t212 @t250))) % 0.43/0.67 (step @p510 :rule cnf_or_pos :args (@t288)) % 0.43/0.67 (step @p511 :rule reordering :premises (@p510) :args ((or @t232 @t225 @t289))) % 0.43/0.67 (step @p512 :rule chain_m_resolution :premises (@p511 @p509 @p491) :args (@t289 @t268 (@list @t232 @t223))) % 0.43/0.67 (assume-push @p563 @t283) % 0.43/0.67 (step @p514 :rule instantiate :premises (@p563) :args (@t229)) % 0.43/0.67 (step-pop @p564 :rule scope :premises (@p514)) % 0.43/0.67 (step @p515 :rule process_scope :premises (@p564) :args (@t288)) % 0.43/0.67 (step @p517 :rule implies_elim :premises (@p515)) % 0.43/0.67 (step @p518 false :rule chain_m_resolution :premises (@p517 @p512 @p487) :args (false @t268 (@list @t288 @t283))) % 0.43/0.67 ) % 0.43/0.67 % SZS output end Proof % 0.43/0.67 % cvc5 exiting %------------------------------------------------------------------------------