%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP266_4 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:37:18 AM UTC 2026 % Result : Theorem 28.06s 28.32s % Output : Proof 28.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP266_4 : TPTP v9.2.1. Released v8.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.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 : Tue Jun 2 10:17:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 28.06/28.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.06/28.32 --- Run --no-e-matching --full-saturate-quant at 6... % 28.06/28.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.06/28.32 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.06/28.32 % SZS status Theorem % 28.06/28.32 % SZS output start Proof % 28.06/28.32 ( % 28.06/28.32 (declare-sort |tptp.'$ki_world'| 0) % 28.06/28.32 (declare-sort $$unsorted 0) % 28.06/28.32 (declare-const tptp.do (-> |tptp.'$ki_world'| $$unsorted $$unsorted $$unsorted Bool)) % 28.06/28.32 (declare-const tptp.in (-> |tptp.'$ki_world'| $$unsorted $$unsorted $$unsorted Bool)) % 28.06/28.32 (declare-const tptp.entry_box (-> |tptp.'$ki_world'| $$unsorted Bool)) % 28.06/28.32 (declare-const tptp.number (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 28.06/28.32 (declare-const tptp.one $$unsorted) % 28.06/28.32 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 28.06/28.32 (declare-const tptp.userid (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 28.06/28.32 (declare-const tptp.u $$unsorted) % 28.06/28.32 (declare-const tptp.string (-> |tptp.'$ki_world'| $$unsorted Bool)) % 28.06/28.32 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 28.06/28.32 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 28.06/28.32 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 28.06/28.32 (define @t2 () (@list @t1)) % 28.06/28.32 (define @t3 () (@var "U" |tptp.'$ki_world'|)) % 28.06/28.32 (define @t4 () (|tptp.'$ki_accessible'| @t1 @t3)) % 28.06/28.32 (define @t5 () (@var "V" |tptp.'$ki_world'|)) % 28.06/28.32 (define @t6 () (|tptp.'$ki_accessible'| @t5 @t3)) % 28.06/28.32 (define @t7 () (|tptp.'$ki_accessible'| @t1 @t5)) % 28.06/28.32 (define @t8 () (and @t7 @t6)) % 28.06/28.32 (define @t9 () (@list @t1 @t5 @t3)) % 28.06/28.32 (define @t10 () (forall @t9 (=> @t8 @t4))) % 28.06/28.32 (define @t11 () (@var "X" $$unsorted)) % 28.06/28.32 (define @t12 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t11)) % 28.06/28.32 (define @t13 () (@var "I" $$unsorted)) % 28.06/28.32 (define @t14 () (@var "W0" |tptp.'$ki_world'|)) % 28.06/28.32 (define @t15 () (tptp.userid @t14 tptp.u @t13)) % 28.06/28.32 (define @t16 () (and @t15 (tptp.string @t14 @t13))) % 28.06/28.32 (define @t17 () (|tptp.'$ki_accessible'| @t1 @t14)) % 28.06/28.32 (define @t18 () (@list @t14)) % 28.06/28.32 (define @t19 () (forall @t18 (=> @t17 @t16))) % 28.06/28.32 (define @t20 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t13)) % 28.06/28.32 (define @t21 () (and @t20 @t19)) % 28.06/28.32 (define @t22 () (@list @t13)) % 28.06/28.32 (define @t23 () (exists @t22 @t21)) % 28.06/28.32 (define @t24 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 28.06/28.32 (define @t25 () (=> @t24 @t23)) % 28.06/28.32 (define @t26 () (forall @t2 @t25)) % 28.06/28.32 (define @t27 () (@var "B" $$unsorted)) % 28.06/28.32 (define @t28 () (tptp.entry_box @t1 @t27)) % 28.06/28.32 (define @t29 () (and @t28 (tptp.number @t1 @t27 tptp.one))) % 28.06/28.32 (define @t30 () (forall @t2 (=> @t24 @t29))) % 28.06/28.32 (define @t31 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t27)) % 28.06/28.32 (define @t32 () (and @t31 @t30)) % 28.06/28.32 (define @t33 () (@list @t27)) % 28.06/28.32 (define @t34 () (exists @t33 @t32)) % 28.06/28.32 (define @t35 () (@var "S2" $$unsorted)) % 28.06/28.32 (define @t36 () (tptp.in @t14 @t13 @t27 @t35)) % 28.06/28.32 (define @t37 () (@var "A" $$unsorted)) % 28.06/28.32 (define @t38 () (@var "S" $$unsorted)) % 28.06/28.32 (define @t39 () (tptp.do @t14 @t38 @t37 @t35)) % 28.06/28.32 (define @t40 () (=> @t39 @t36)) % 28.06/28.32 (define @t41 () (|tptp.'$ki_exists_in_world_$i'| @t14 @t35)) % 28.06/28.32 (define @t42 () (@list @t35)) % 28.06/28.32 (define @t43 () (forall @t42 (=> @t41 @t40))) % 28.06/28.32 (define @t44 () (=> @t17 @t43)) % 28.06/28.32 (define @t45 () (forall @t18 @t44)) % 28.06/28.32 (define @t46 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t37)) % 28.06/28.32 (define @t47 () (and @t46 @t45)) % 28.06/28.32 (define @t48 () (@list @t37)) % 28.06/28.32 (define @t49 () (exists @t48 @t47)) % 28.06/28.32 (define @t50 () (tptp.string @t1 @t13)) % 28.06/28.32 (define @t51 () (and @t50 @t28)) % 28.06/28.32 (define @t52 () (=> @t51 @t49)) % 28.06/28.32 (define @t53 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t27)) % 28.06/28.32 (define @t54 () (=> @t53 @t52)) % 28.06/28.32 (define @t55 () (forall @t33 @t54)) % 28.06/28.32 (define @t56 () (=> @t20 @t55)) % 28.06/28.32 (define @t57 () (forall @t22 @t56)) % 28.06/28.32 (define @t58 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t38)) % 28.06/28.32 (define @t59 () (=> @t58 @t57)) % 28.06/28.32 (define @t60 () (@list @t38)) % 28.06/28.32 (define @t61 () (forall @t60 @t59)) % 28.06/28.32 (define @t62 () (=> @t24 @t61)) % 28.06/28.32 (define @t63 () (forall @t2 @t62)) % 28.06/28.32 (define @t64 () (and @t15 (tptp.entry_box @t14 @t27) (tptp.number @t14 @t27 tptp.one))) % 28.06/28.32 (define @t65 () (forall @t18 (=> @t17 @t64))) % 28.06/28.32 (define @t66 () (and @t58 @t65 @t45)) % 28.06/28.32 (define @t67 () (exists @t60 @t66)) % 28.06/28.32 (define @t68 () (and @t46 @t67)) % 28.06/28.32 (define @t69 () (exists @t48 @t68)) % 28.06/28.32 (define @t70 () (and @t53 @t69)) % 28.06/28.32 (define @t71 () (exists @t33 @t70)) % 28.06/28.32 (define @t72 () (and @t20 @t71)) % 28.06/28.32 (define @t73 () (exists @t22 @t72)) % 28.06/28.32 (define @t74 () (=> @t24 @t73)) % 28.06/28.32 (define @t75 () (forall @t2 @t74)) % 28.06/28.32 (define @t76 () (not @t75)) % 28.06/28.32 (define @t77 () (not @t6)) % 28.06/28.32 (define @t78 () (not @t7)) % 28.06/28.32 (define @t79 () (or @t78 @t77 @t4)) % 28.06/28.32 (define @t80 () (@var "BOUND_VARIABLE_7568" $$unsorted)) % 28.06/28.32 (define @t81 () (@var "BOUND_VARIABLE_7666" $$unsorted)) % 28.06/28.32 (define @t82 () (@var "BOUND_VARIABLE_7664" $$unsorted)) % 28.06/28.32 (define @t83 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 28.06/28.32 (define @t84 () (not (|tptp.'$ki_exists_in_world_$i'| @t14 @t80))) % 28.06/28.32 (define @t85 () (not @t17)) % 28.06/28.32 (define @t86 () (@list @t14 @t80)) % 28.06/28.32 (define @t87 () (not @t46)) % 28.06/28.32 (define @t88 () (not (forall @t48 (or @t87 (not (forall @t86 (or @t85 @t84 (not (tptp.do @t14 @t83 @t37 @t80)) (tptp.in @t14 @t82 @t81 @t80)))))))) % 28.06/28.32 (define @t89 () (not (tptp.entry_box @t1 @t81))) % 28.06/28.32 (define @t90 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t81))) % 28.06/28.32 (define @t91 () (not (tptp.string @t1 @t82))) % 28.06/28.32 (define @t92 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t82))) % 28.06/28.32 (define @t93 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t83))) % 28.06/28.32 (define @t94 () (not @t24)) % 28.06/28.32 (define @t95 () (or @t93 @t92 @t91 @t90 @t89 @t88)) % 28.06/28.32 (define @t96 () (or @t94 @t95)) % 28.06/28.32 (define @t97 () (forall (@list @t1 @t83 @t82 @t81) @t96)) % 28.06/28.32 (define @t98 () (@list @t83 @t82 @t81)) % 28.06/28.32 (define @t99 () (forall @t98 @t96)) % 28.06/28.32 (define @t100 () (forall @t98 @t95)) % 28.06/28.32 (define @t101 () (@var "BOUND_VARIABLE_7635" $$unsorted)) % 28.06/28.32 (define @t102 () (@var "BOUND_VARIABLE_7633" $$unsorted)) % 28.06/28.32 (define @t103 () (or @t94 @t100)) % 28.06/28.32 (define @t104 () (not (tptp.do @t14 @t38 @t37 @t80))) % 28.06/28.32 (define @t105 () (not (forall @t48 (or @t87 (not (forall @t86 (or @t85 @t84 @t104 (tptp.in @t14 @t102 @t101 @t80)))))))) % 28.06/28.32 (define @t106 () (not (tptp.entry_box @t1 @t101))) % 28.06/28.32 (define @t107 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t101))) % 28.06/28.32 (define @t108 () (not (tptp.string @t1 @t102))) % 28.06/28.32 (define @t109 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t102))) % 28.06/28.32 (define @t110 () (not @t58)) % 28.06/28.32 (define @t111 () (or @t110 @t109 @t108 @t107 @t106 @t105)) % 28.06/28.32 (define @t112 () (@list @t38 @t102 @t101)) % 28.06/28.32 (define @t113 () (forall @t112 @t111)) % 28.06/28.32 (define @t114 () (or @t109 @t108 @t107 @t106 @t105)) % 28.06/28.32 (define @t115 () (or @t110 @t114)) % 28.06/28.32 (define @t116 () (forall @t112 @t115)) % 28.06/28.32 (define @t117 () (@list @t102 @t101)) % 28.06/28.32 (define @t118 () (forall @t117 @t115)) % 28.06/28.32 (define @t119 () (forall @t117 @t114)) % 28.06/28.32 (define @t120 () (@var "BOUND_VARIABLE_7609" $$unsorted)) % 28.06/28.32 (define @t121 () (or @t110 @t119)) % 28.06/28.32 (define @t122 () (not (forall @t48 (or @t87 (not (forall @t86 (or @t85 @t84 @t104 (tptp.in @t14 @t13 @t120 @t80)))))))) % 28.06/28.32 (define @t123 () (not (tptp.entry_box @t1 @t120))) % 28.06/28.32 (define @t124 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t120))) % 28.06/28.32 (define @t125 () (not @t50)) % 28.06/28.32 (define @t126 () (not @t20)) % 28.06/28.32 (define @t127 () (or @t126 @t125 @t124 @t123 @t122)) % 28.06/28.32 (define @t128 () (@list @t13 @t120)) % 28.06/28.32 (define @t129 () (forall @t128 @t127)) % 28.06/28.32 (define @t130 () (or @t124 @t123 @t122)) % 28.06/28.32 (define @t131 () (or @t126 @t125 @t130)) % 28.06/28.32 (define @t132 () (forall @t128 @t131)) % 28.06/28.32 (define @t133 () (@list @t120)) % 28.06/28.32 (define @t134 () (forall @t133 @t131)) % 28.06/28.32 (define @t135 () (forall @t133 @t130)) % 28.06/28.32 (define @t136 () (or @t126 @t125 @t135)) % 28.06/28.32 (define @t137 () (tptp.in @t14 @t13 @t27 @t80)) % 28.06/28.32 (define @t138 () (or @t85 @t84 @t104 @t137)) % 28.06/28.32 (define @t139 () (forall @t86 @t138)) % 28.06/28.32 (define @t140 () (not @t139)) % 28.06/28.32 (define @t141 () (not (forall @t48 (or @t87 @t140)))) % 28.06/28.32 (define @t142 () (not @t28)) % 28.06/28.32 (define @t143 () (not @t53)) % 28.06/28.32 (define @t144 () (or @t143 @t142 @t141)) % 28.06/28.32 (define @t145 () (forall @t33 @t144)) % 28.06/28.32 (define @t146 () (or @t126 @t125 @t145)) % 28.06/28.32 (define @t147 () (or @t125 @t145)) % 28.06/28.32 (define @t148 () (or @t125 @t144)) % 28.06/28.32 (define @t149 () (or @t143 @t125 @t142 @t141)) % 28.06/28.32 (define @t150 () (or @t125 @t142 @t141)) % 28.06/28.32 (define @t151 () (=> @t51 @t141)) % 28.06/28.32 (define @t152 () (and @t46 @t139)) % 28.06/28.32 (define @t153 () (forall @t48 (not @t152))) % 28.06/28.32 (define @t154 () (not @t153)) % 28.06/28.32 (define @t155 () (or @t84 @t104 @t137)) % 28.06/28.32 (define @t156 () (or @t85 @t155)) % 28.06/28.32 (define @t157 () (forall @t86 @t156)) % 28.06/28.32 (define @t158 () (@list @t80)) % 28.06/28.32 (define @t159 () (forall @t158 @t156)) % 28.06/28.32 (define @t160 () (forall @t158 @t155)) % 28.06/28.32 (define @t161 () (or @t85 @t160)) % 28.06/28.32 (define @t162 () (not @t39)) % 28.06/28.32 (define @t163 () (not @t41)) % 28.06/28.32 (define @t164 () (or @t163 @t162 @t36)) % 28.06/28.32 (define @t165 () (forall @t42 @t164)) % 28.06/28.32 (define @t166 () (forall @t2 (or @t94 @t29))) % 28.06/28.32 (define @t167 () (@quantifiers_skolemize (forall @t33 (or (not @t31) (not @t166))) 0)) % 28.06/28.32 (define @t168 () (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t14))) % 28.06/28.32 (define @t169 () (forall @t22 (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t13)) (not (forall @t18 (or @t168 @t16)))))) % 28.06/28.32 (define @t170 () (@quantifiers_skolemize @t169 0)) % 28.06/28.32 (define @t171 () (forall @t18 (or @t85 @t16))) % 28.06/28.32 (define @t172 () (not (forall @t22 (or @t126 (not @t171))))) % 28.06/28.32 (define @t173 () (and @t20 @t171)) % 28.06/28.32 (define @t174 () (forall @t22 (not @t173))) % 28.06/28.32 (define @t175 () (not @t174)) % 28.06/28.32 (define @t176 () (@list |tptp.'$ki_local_world'|)) % 28.06/28.32 (define @t177 () (not @t169)) % 28.06/28.32 (define @t178 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| |tptp.'$ki_local_world'|)) % 28.06/28.32 (define @t179 () (not @t178)) % 28.06/28.32 (define @t180 () (or @t179 @t177)) % 28.06/28.32 (define @t181 () (@list false false)) % 28.06/28.32 (define @t182 () (tptp.userid @t14 tptp.u @t170)) % 28.06/28.32 (define @t183 () (forall @t18 (or @t168 (and @t182 (tptp.string @t14 @t170))))) % 28.06/28.32 (define @t184 () (not @t183)) % 28.06/28.32 (define @t185 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t170)) % 28.06/28.32 (define @t186 () (not @t185)) % 28.06/28.32 (define @t187 () (or @t186 @t184)) % 28.06/28.32 (define @t188 () (@list true)) % 28.06/28.32 (define @t189 () (@list @t187)) % 28.06/28.32 (define @t190 () (tptp.string |tptp.'$ki_local_world'| @t170)) % 28.06/28.32 (define @t191 () (and (tptp.userid |tptp.'$ki_local_world'| tptp.u @t170) @t190)) % 28.06/28.32 (define @t192 () (or @t179 @t191)) % 28.06/28.32 (define @t193 () (@list false)) % 28.06/28.32 (define @t194 () (and @t31 @t166)) % 28.06/28.32 (define @t195 () (forall @t33 (not @t194))) % 28.06/28.32 (define @t196 () (not @t195)) % 28.06/28.32 (define @t197 () (forall @t2 (or @t94 (and (tptp.entry_box @t1 @t167) (tptp.number @t1 @t167 tptp.one))))) % 28.06/28.32 (define @t198 () (not @t197)) % 28.06/28.32 (define @t199 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t167)) % 28.06/28.32 (define @t200 () (not @t199)) % 28.06/28.32 (define @t201 () (or @t200 @t198)) % 28.06/28.32 (define @t202 () (@list @t201)) % 28.06/28.32 (define @t203 () (tptp.entry_box |tptp.'$ki_local_world'| @t167)) % 28.06/28.32 (define @t204 () (and @t203 (tptp.number |tptp.'$ki_local_world'| @t167 tptp.one))) % 28.06/28.32 (define @t205 () (or @t179 @t204)) % 28.06/28.32 (define @t206 () (tptp.in @t14 @t170 @t167 @t80)) % 28.06/28.32 (define @t207 () (forall @t48 (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t37)) (not (forall @t86 (or @t168 @t84 (not (tptp.do @t14 @t167 @t37 @t80)) @t206)))))) % 28.06/28.32 (define @t208 () (not @t207)) % 28.06/28.32 (define @t209 () (not @t203)) % 28.06/28.32 (define @t210 () (not @t190)) % 28.06/28.32 (define @t211 () (or @t179 @t200 @t186 @t210 @t200 @t209 @t208)) % 28.06/28.32 (define @t212 () (@quantifiers_skolemize @t207 0)) % 28.06/28.32 (define @t213 () (not (tptp.do @t14 @t167 @t212 @t80))) % 28.06/28.32 (define @t214 () (forall @t86 (or @t168 @t84 @t213 @t206))) % 28.06/28.32 (define @t215 () (not @t214)) % 28.06/28.32 (define @t216 () (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t212)) @t215)) % 28.06/28.32 (define @t217 () (@var "BOUND_VARIABLE_7769" $$unsorted)) % 28.06/28.32 (define @t218 () (tptp.in @t14 @t13 @t217 @t80)) % 28.06/28.32 (define @t219 () (@var "BOUND_VARIABLE_7771" $$unsorted)) % 28.06/28.32 (define @t220 () (@var "BOUND_VARIABLE_7773" $$unsorted)) % 28.06/28.32 (define @t221 () (not (tptp.do @t14 @t220 @t219 @t80))) % 28.06/28.32 (define @t222 () (not (forall @t86 (or @t85 @t84 @t221 @t218)))) % 28.06/28.32 (define @t223 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t220))) % 28.06/28.32 (define @t224 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t219))) % 28.06/28.32 (define @t225 () (and @t15 (tptp.entry_box @t14 @t217) (tptp.number @t14 @t217 tptp.one))) % 28.06/28.32 (define @t226 () (not (forall @t18 (or @t85 @t225)))) % 28.06/28.32 (define @t227 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t217))) % 28.06/28.32 (define @t228 () (or @t126 @t227 @t226 @t224 @t223 @t222)) % 28.06/28.32 (define @t229 () (@list @t13 @t217 @t219 @t220)) % 28.06/28.32 (define @t230 () (not (forall @t229 @t228))) % 28.06/28.32 (define @t231 () (@quantifiers_skolemize (forall @t2 (or @t94 @t230)) 0)) % 28.06/28.32 (define @t232 () (not (|tptp.'$ki_accessible'| @t231 @t14))) % 28.06/28.32 (define @t233 () (forall @t86 (or @t232 @t84 @t213 @t206))) % 28.06/28.32 (define @t234 () (@quantifiers_skolemize @t233 1)) % 28.06/28.32 (define @t235 () (@quantifiers_skolemize @t233 0)) % 28.06/28.32 (define @t236 () (or @t227 @t226 @t224 @t223 @t222)) % 28.06/28.32 (define @t237 () (or @t126 @t236)) % 28.06/28.32 (define @t238 () (forall @t229 @t237)) % 28.06/28.32 (define @t239 () (@list @t217 @t219 @t220)) % 28.06/28.32 (define @t240 () (forall @t239 @t237)) % 28.06/28.32 (define @t241 () (forall @t239 @t236)) % 28.06/28.32 (define @t242 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 28.06/28.32 (define @t243 () (@var "BOUND_VARIABLE_7742" $$unsorted)) % 28.06/28.32 (define @t244 () (or @t126 @t241)) % 28.06/28.32 (define @t245 () (not (forall @t86 (or @t85 @t84 (not (tptp.do @t14 @t242 @t243 @t80)) @t137)))) % 28.06/28.32 (define @t246 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t242))) % 28.06/28.32 (define @t247 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t243))) % 28.06/28.32 (define @t248 () (forall @t18 (or @t85 @t64))) % 28.06/28.32 (define @t249 () (not @t248)) % 28.06/28.32 (define @t250 () (or @t143 @t249 @t247 @t246 @t245)) % 28.06/28.32 (define @t251 () (@list @t27 @t243 @t242)) % 28.06/28.32 (define @t252 () (forall @t251 @t250)) % 28.06/28.32 (define @t253 () (not @t252)) % 28.06/28.32 (define @t254 () (and @t20 @t253)) % 28.06/28.32 (define @t255 () (forall @t22 (not @t254))) % 28.06/28.32 (define @t256 () (not @t255)) % 28.06/28.32 (define @t257 () (or @t247 @t246 @t245)) % 28.06/28.32 (define @t258 () (or @t143 @t249 @t257)) % 28.06/28.32 (define @t259 () (forall @t251 @t258)) % 28.06/28.32 (define @t260 () (@list @t243 @t242)) % 28.06/28.32 (define @t261 () (forall @t260 @t258)) % 28.06/28.32 (define @t262 () (forall @t260 @t257)) % 28.06/28.32 (define @t263 () (@var "BOUND_VARIABLE_7718" $$unsorted)) % 28.06/28.32 (define @t264 () (or @t143 @t249 @t262)) % 28.06/28.32 (define @t265 () (not (forall @t86 (or @t85 @t84 (not (tptp.do @t14 @t263 @t37 @t80)) @t137)))) % 28.06/28.32 (define @t266 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t263))) % 28.06/28.32 (define @t267 () (or @t87 @t266 @t265)) % 28.06/28.32 (define @t268 () (@list @t37 @t263)) % 28.06/28.32 (define @t269 () (forall @t268 @t267)) % 28.06/28.32 (define @t270 () (or @t143 @t249 @t269)) % 28.06/28.32 (define @t271 () (or @t249 @t269)) % 28.06/28.32 (define @t272 () (not @t271)) % 28.06/28.32 (define @t273 () (and @t53 @t272)) % 28.06/28.32 (define @t274 () (forall @t33 (not @t273))) % 28.06/28.32 (define @t275 () (not @t274)) % 28.06/28.32 (define @t276 () (or @t266 @t265)) % 28.06/28.32 (define @t277 () (or @t87 @t276)) % 28.06/28.32 (define @t278 () (forall @t268 @t277)) % 28.06/28.32 (define @t279 () (@list @t263)) % 28.06/28.32 (define @t280 () (forall @t279 @t277)) % 28.06/28.32 (define @t281 () (forall @t279 @t276)) % 28.06/28.32 (define @t282 () (or @t87 @t281)) % 28.06/28.32 (define @t283 () (or @t110 @t140)) % 28.06/28.32 (define @t284 () (forall @t60 @t283)) % 28.06/28.32 (define @t285 () (or @t87 @t284)) % 28.06/28.32 (define @t286 () (forall @t48 @t285)) % 28.06/28.32 (define @t287 () (or @t249 @t286)) % 28.06/28.32 (define @t288 () (or @t249 @t285)) % 28.06/28.32 (define @t289 () (or @t87 @t249 @t284)) % 28.06/28.32 (define @t290 () (or @t249 @t284)) % 28.06/28.32 (define @t291 () (not @t290)) % 28.06/28.32 (define @t292 () (and @t46 @t291)) % 28.06/28.32 (define @t293 () (forall @t48 (not @t292))) % 28.06/28.32 (define @t294 () (not @t293)) % 28.06/28.32 (define @t295 () (or @t249 @t283)) % 28.06/28.32 (define @t296 () (or @t110 @t249 @t140)) % 28.06/28.32 (define @t297 () (and @t58 @t248 @t139)) % 28.06/28.32 (define @t298 () (forall @t60 (not @t297))) % 28.06/28.32 (define @t299 () (not @t298)) % 28.06/28.32 (define @t300 () (forall @t229 (or (not (|tptp.'$ki_exists_in_world_$i'| @t231 @t13)) (not (|tptp.'$ki_exists_in_world_$i'| @t231 @t217)) (not (forall @t18 (or @t232 @t225))) (not (|tptp.'$ki_exists_in_world_$i'| @t231 @t219)) (not (|tptp.'$ki_exists_in_world_$i'| @t231 @t220)) (not (forall @t86 (or @t232 @t84 @t221 @t218)))))) % 28.06/28.32 (define @t301 () (not @t300)) % 28.06/28.32 (define @t302 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t231)) % 28.06/28.32 (define @t303 () (not @t302)) % 28.06/28.32 (define @t304 () (or @t303 @t301)) % 28.06/28.32 (define @t305 () (@list @t304)) % 28.06/28.32 (define @t306 () (forall @t18 (or @t232 (and @t182 (tptp.entry_box @t14 @t167) (tptp.number @t14 @t167 tptp.one))))) % 28.06/28.32 (define @t307 () (@quantifiers_skolemize @t306 0)) % 28.06/28.32 (define @t308 () (|tptp.'$ki_accessible'| @t231 @t307)) % 28.06/28.32 (define @t309 () (tptp.number @t307 @t167 tptp.one)) % 28.06/28.32 (define @t310 () (tptp.entry_box @t307 @t167)) % 28.06/28.32 (define @t311 () (tptp.userid @t307 tptp.u @t170)) % 28.06/28.32 (define @t312 () (and @t311 @t310 @t309)) % 28.06/28.32 (define @t313 () (not @t308)) % 28.06/28.32 (define @t314 () (or @t313 @t312)) % 28.06/28.32 (define @t315 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t307)) % 28.06/28.32 (define @t316 () (or @t303 @t313 @t315)) % 28.06/28.32 (define @t317 () (@list @t307)) % 28.06/28.32 (define @t318 () (and @t311 (tptp.string @t307 @t170))) % 28.06/28.32 (define @t319 () (not @t315)) % 28.06/28.32 (define @t320 () (or @t319 @t318)) % 28.06/28.32 (define @t321 () (and @t310 @t309)) % 28.06/28.32 (define @t322 () (or @t319 @t321)) % 28.06/28.32 (define @t323 () (not @t321)) % 28.06/28.32 (define @t324 () (not @t314)) % 28.06/28.32 (define @t325 () (not @t306)) % 28.06/28.32 (define @t326 () (not @t233)) % 28.06/28.32 (define @t327 () (|tptp.'$ki_exists_in_world_$i'| @t231 @t167)) % 28.06/28.32 (define @t328 () (not @t327)) % 28.06/28.32 (define @t329 () (|tptp.'$ki_exists_in_world_$i'| @t231 @t212)) % 28.06/28.32 (define @t330 () (not @t329)) % 28.06/28.32 (define @t331 () (|tptp.'$ki_exists_in_world_$i'| @t231 @t170)) % 28.06/28.32 (define @t332 () (not @t331)) % 28.06/28.32 (define @t333 () (or @t332 @t328 @t325 @t330 @t328 @t326)) % 28.06/28.32 (define @t334 () (tptp.in @t235 @t170 @t167 @t234)) % 28.06/28.32 (define @t335 () (tptp.do @t235 @t167 @t212 @t234)) % 28.06/28.32 (define @t336 () (not @t335)) % 28.06/28.32 (define @t337 () (|tptp.'$ki_exists_in_world_$i'| @t235 @t234)) % 28.06/28.32 (define @t338 () (not @t337)) % 28.06/28.32 (define @t339 () (|tptp.'$ki_accessible'| @t231 @t235)) % 28.06/28.32 (define @t340 () (not @t339)) % 28.06/28.32 (define @t341 () (or @t340 @t338 @t336 @t334)) % 28.06/28.32 (define @t342 () (not @t341)) % 28.06/28.32 (define @t343 () (@list @t341)) % 28.06/28.32 (define @t344 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t235)) % 28.06/28.32 (define @t345 () (not @t344)) % 28.06/28.32 (define @t346 () (or @t345 @t338 @t336 @t334)) % 28.06/28.32 (define @t347 () (or @t303 @t340 @t344)) % 28.06/28.32 (define @t348 () (not @t347)) % 28.06/28.32 (define @t349 () (forall @t9 @t79)) % 28.06/28.32 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 28.06/28.32 (assume @p2 @t10) % 28.06/28.32 (assume @p3 (forall (@list @t1 @t11) @t12)) % 28.06/28.32 (assume @p4 (forall @t2 (exists (@list @t11) @t12))) % 28.06/28.32 (assume @p5 @t26) % 28.06/28.32 (assume @p6 @t34) % 28.06/28.32 (assume @p7 @t63) % 28.06/28.32 (assume @p8 @t76) % 28.06/28.32 (assume @p9 true) % 28.06/28.32 (step @p10 :rule aci_norm :args ((= (or (or @t78 @t77) @t4) @t79))) % 28.06/28.32 (step @p11 :rule refl :args (@t4)) % 28.06/28.32 (step @p12 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 28.06/28.32 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or (not @t8) @t4))) % 28.06/28.32 (step @p14 :rule trans :premises (@p13 @p10)) % 28.06/28.32 (step @p15 :rule bool-impl-elim :args (@t8 @t4)) % 28.06/28.32 (step @p16 :rule trans :premises (@p15 @p14)) % 28.06/28.32 (step @p17 :rule cong :premises (@p16) :args (@t10)) % 28.06/28.32 (step @p18 :rule eq_resolve :premises (@p2 @p17)) % 28.06/28.32 (step @p19 :rule aci_norm :args ((= @t96 (or @t94 @t93 @t92 @t91 @t90 @t89 @t88)))) % 28.06/28.32 (step @p20 :rule cong :premises (@p19) :args (@t97)) % 28.06/28.32 (step @p21 :rule quant-merge-prenex :args ((= (forall @t2 @t99) @t97))) % 28.06/28.32 (step @p22 :rule alpha_equiv :args (@t100 (@list @t83 @t82 @t81) (@list @t38 @t102 @t101))) % 28.06/28.32 (step @p23 :rule refl :args (@t94)) % 28.06/28.32 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t103)) % 28.06/28.32 (step @p25 :rule quant-miniscope-or :args ((= @t99 @t103))) % 28.06/28.32 (step @p26 :rule trans :premises (@p25 @p24)) % 28.06/28.32 (step @p27 :rule symm :premises (@p26)) % 28.06/28.32 (step @p28 :rule cong :premises (@p27) :args ((forall @t2 (or @t94 @t113)))) % 28.06/28.32 (step @p29 :rule trans :premises (@p28 @p21)) % 28.06/28.32 (step @p30 :rule trans :premises (@p29 @p20)) % 28.06/28.32 (step @p31 :rule bool-impl-elim :args (@t24 @t113)) % 28.06/28.32 (step @p32 :rule cong :premises (@p31) :args ((forall @t2 (=> @t24 @t113)))) % 28.06/28.32 (step @p33 :rule trans :premises (@p32 @p30)) % 28.06/28.32 (step @p34 :rule aci_norm :args ((= @t115 @t111))) % 28.06/28.32 (step @p35 :rule cong :premises (@p34) :args (@t116)) % 28.06/28.32 (step @p36 :rule quant-merge-prenex :args ((= (forall @t60 @t118) @t116))) % 28.06/28.32 (step @p37 :rule alpha_equiv :args (@t119 (@list @t102 @t101) (@list @t13 @t120))) % 28.06/28.32 (step @p38 :rule refl :args (@t110)) % 28.06/28.32 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t121)) % 28.06/28.32 (step @p40 :rule quant-miniscope-or :args ((= @t118 @t121))) % 28.06/28.32 (step @p41 :rule trans :premises (@p40 @p39)) % 28.06/28.32 (step @p42 :rule symm :premises (@p41)) % 28.06/28.32 (step @p43 :rule cong :premises (@p42) :args ((forall @t60 (or @t110 @t129)))) % 28.06/28.32 (step @p44 :rule trans :premises (@p43 @p36)) % 28.06/28.32 (step @p45 :rule trans :premises (@p44 @p35)) % 28.06/28.32 (step @p46 :rule bool-impl-elim :args (@t58 @t129)) % 28.06/28.32 (step @p47 :rule cong :premises (@p46) :args ((forall @t60 (=> @t58 @t129)))) % 28.06/28.32 (step @p48 :rule trans :premises (@p47 @p45)) % 28.06/28.32 (step @p49 :rule aci_norm :args ((= @t131 @t127))) % 28.06/28.32 (step @p50 :rule cong :premises (@p49) :args (@t132)) % 28.06/28.32 (step @p51 :rule quant-merge-prenex :args ((= (forall @t22 @t134) @t132))) % 28.06/28.32 (step @p52 :rule alpha_equiv :args (@t135 (@list @t120) (@list @t27))) % 28.06/28.32 (step @p53 :rule refl :args (@t125)) % 28.06/28.32 (step @p54 :rule refl :args (@t126)) % 28.06/28.32 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t136)) % 28.06/28.32 (step @p56 :rule quant-miniscope-or :args ((= @t134 @t136))) % 28.06/28.32 (step @p57 :rule trans :premises (@p56 @p55)) % 28.06/28.32 (step @p58 :rule symm :premises (@p57)) % 28.06/28.32 (step @p59 :rule cong :premises (@p58) :args ((forall @t22 @t146))) % 28.06/28.32 (step @p60 :rule trans :premises (@p59 @p51)) % 28.06/28.32 (step @p61 :rule trans :premises (@p60 @p50)) % 28.06/28.32 (step @p62 :rule aci_norm :args ((= (or @t126 @t147) @t146))) % 28.06/28.32 (step @p63 :rule bool-impl-elim :args (@t20 @t147)) % 28.06/28.32 (step @p64 :rule trans :premises (@p63 @p62)) % 28.06/28.32 (step @p65 :rule cong :premises (@p64) :args ((forall @t22 (=> @t20 @t147)))) % 28.06/28.32 (step @p66 :rule trans :premises (@p65 @p61)) % 28.06/28.32 (step @p67 :rule quant-miniscope-or :args ((= (forall @t33 @t148) @t147))) % 28.06/28.32 (step @p68 :rule aci_norm :args ((= @t149 @t148))) % 28.06/28.32 (step @p69 :rule cong :premises (@p68) :args ((forall @t33 @t149))) % 28.06/28.32 (step @p70 :rule trans :premises (@p69 @p67)) % 28.06/28.32 (step @p71 :rule aci_norm :args ((= (or @t143 @t150) @t149))) % 28.06/28.32 (step @p72 :rule aci_norm :args ((= (or (or @t125 @t142) @t141) @t150))) % 28.06/28.32 (step @p73 :rule refl :args (@t141)) % 28.06/28.32 (step @p74 :rule bool-and-de-morgan :args (@t50 @t28 true)) % 28.06/28.32 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t51) @t141))) % 28.06/28.32 (step @p76 :rule trans :premises (@p75 @p72)) % 28.06/28.32 (step @p77 :rule bool-impl-elim :args (@t51 @t141)) % 28.06/28.32 (step @p78 :rule trans :premises (@p77 @p76)) % 28.06/28.32 (step @p79 :rule refl :args (@t143)) % 28.06/28.32 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t143 @t151))) % 28.06/28.32 (step @p81 :rule trans :premises (@p80 @p71)) % 28.06/28.32 (step @p82 :rule bool-impl-elim :args (@t53 @t151)) % 28.06/28.32 (step @p83 :rule trans :premises (@p82 @p81)) % 28.06/28.32 (step @p84 :rule cong :premises (@p83) :args ((forall @t33 (=> @t53 @t151)))) % 28.06/28.32 (step @p85 :rule trans :premises (@p84 @p70)) % 28.06/28.32 (step @p86 :rule bool-and-de-morgan :args (@t46 @t139 true)) % 28.06/28.32 (step @p87 :rule cong :premises (@p86) :args (@t153)) % 28.06/28.32 (step @p88 :rule cong :premises (@p87) :args (@t154)) % 28.06/28.32 (step @p89 :rule exists-elim :args ((= (exists @t48 @t152) @t154))) % 28.06/28.32 (step @p90 :rule trans :premises (@p89 @p88)) % 28.06/28.32 (step @p91 :rule aci_norm :args ((= @t156 @t138))) % 28.06/28.32 (step @p92 :rule cong :premises (@p91) :args (@t157)) % 28.06/28.32 (step @p93 :rule quant-merge-prenex :args ((= (forall @t18 @t159) @t157))) % 28.06/28.32 (step @p94 :rule alpha_equiv :args (@t160 (@list @t80) (@list @t35))) % 28.06/28.32 (step @p95 :rule refl :args (@t85)) % 28.06/28.32 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t161)) % 28.06/28.32 (step @p97 :rule quant-miniscope-or :args ((= @t159 @t161))) % 28.06/28.32 (step @p98 :rule trans :premises (@p97 @p96)) % 28.06/28.32 (step @p99 :rule symm :premises (@p98)) % 28.06/28.32 (step @p100 :rule cong :premises (@p99) :args ((forall @t18 (or @t85 @t165)))) % 28.06/28.32 (step @p101 :rule trans :premises (@p100 @p93)) % 28.06/28.32 (step @p102 :rule trans :premises (@p101 @p92)) % 28.06/28.32 (step @p103 :rule bool-impl-elim :args (@t17 @t165)) % 28.06/28.32 (step @p104 :rule cong :premises (@p103) :args ((forall @t18 (=> @t17 @t165)))) % 28.06/28.32 (step @p105 :rule trans :premises (@p104 @p102)) % 28.06/28.32 (step @p106 :rule aci_norm :args ((= (or @t163 (or @t162 @t36)) @t164))) % 28.06/28.32 (step @p107 :rule bool-impl-elim :args (@t39 @t36)) % 28.06/28.32 (step @p108 :rule refl :args (@t163)) % 28.06/28.32 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t163 @t40))) % 28.06/28.32 (step @p110 :rule trans :premises (@p109 @p106)) % 28.06/28.32 (step @p111 :rule bool-impl-elim :args (@t41 @t40)) % 28.06/28.32 (step @p112 :rule trans :premises (@p111 @p110)) % 28.06/28.32 (step 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(step @p313 :rule trans :premises (@p312 @p311)) % 28.06/28.32 (step @p314 :rule trans :premises (@p313 @p309)) % 28.06/28.32 (step @p315 :rule cong :premises (@p314) :args (@t298)) % 28.06/28.32 (step @p316 :rule trans :premises (@p315 @p308)) % 28.06/28.32 (step @p317 :rule cong :premises (@p316) :args (@t299)) % 28.06/28.32 (step @p318 :rule exists-elim :args ((= (exists @t60 @t297) @t299))) % 28.06/28.32 (step @p319 :rule trans :premises (@p318 @p317)) % 28.06/28.32 (step @p320 :rule bool-impl-elim :args (@t17 @t64)) % 28.06/28.32 (step @p321 :rule cong :premises (@p320) :args (@t65)) % 28.06/28.32 (step @p322 :rule nary_cong :premises (@p132 @p321 @p117) :args (@t66)) % 28.06/28.32 (step @p323 :rule cong :premises (@p322) :args (@t67)) % 28.06/28.32 (step @p324 :rule trans :premises (@p323 @p319)) % 28.06/28.32 (step @p325 :rule nary_cong :premises (@p118 @p324) :args (@t68)) % 28.06/28.32 (step @p326 :rule cong :premises (@p325) :args (@t69)) % 28.06/28.32 (step @p327 :rule trans :premises (@p326 @p304)) % 28.06/28.32 (step @p328 :rule nary_cong :premises (@p124 @p327) :args (@t70)) % 28.06/28.32 (step @p329 :rule cong :premises (@p328) :args (@t71)) % 28.06/28.32 (step @p330 :rule trans :premises (@p329 @p274)) % 28.06/28.32 (step @p331 :rule nary_cong :premises (@p128 @p330) :args (@t72)) % 28.06/28.32 (step @p332 :rule cong :premises (@p331) :args (@t73)) % 28.06/28.32 (step @p333 :rule trans :premises (@p332 @p251)) % 28.06/28.32 (step @p334 :rule cong :premises (@p136 @p333) :args (@t74)) % 28.06/28.32 (step @p335 :rule cong :premises (@p334) :args (@t75)) % 28.06/28.32 (step @p336 :rule trans :premises (@p335 @p231)) % 28.06/28.32 (step @p337 :rule cong :premises (@p336) :args (@t76)) % 28.06/28.32 (step @p338 :rule eq_resolve :premises (@p8 @p337)) % 28.06/28.32 (step @p339 :rule skolemize :premises (@p338)) % 28.06/28.32 (step @p340 :rule bool-double-not-elim :args (@t300)) % 28.06/28.32 (step @p341 :rule refl :args (@t304)) % 28.06/28.32 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t304 (not @t301)))) % 28.06/28.32 (step @p343 :rule cnf_or_neg :args (@t304 1)) % 28.06/28.32 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 28.06/28.32 (step @p345 :rule reordering :premises (@p344) :args ((or @t300 @t304))) % 28.06/28.32 (step @p346 :rule chain_m_resolution :premises (@p345 @p339) :args (@t300 @t188 @t305)) % 28.06/28.32 (step @p347 :rule instantiate :premises (@p346) :args ((@list @t170 @t167 @t212 @t167))) % 28.06/28.32 (step @p348 :rule instantiate :premises (@p3) :args ((@list @t231 @t212))) % 28.06/28.32 (step @p349 :rule bool-double-not-elim :args (@t308)) % 28.06/28.32 (step @p350 :rule refl :args (@t314)) % 28.06/28.32 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or @t314 (not @t313)))) % 28.06/28.32 (step @p352 :rule cnf_or_neg :args (@t314 0)) % 28.06/28.32 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 28.06/28.32 (step @p354 :rule reordering :premises (@p353) :args ((or @t308 @t314))) % 28.06/28.32 (step @p355 :rule cnf_or_neg :args (@t314 1)) % 28.06/28.32 (step @p356 :rule bool-double-not-elim :args (@t302)) % 28.06/28.32 (step @p357 :rule nary_cong :premises (@p341 @p356) :args ((or @t304 (not @t303)))) % 28.06/28.32 (step @p358 :rule cnf_or_neg :args (@t304 0)) % 28.06/28.32 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 28.06/28.32 (step @p360 :rule reordering :premises (@p359) :args ((or @t302 @t304))) % 28.06/28.32 (step @p361 :rule chain_m_resolution :premises (@p360 @p339) :args (@t302 @t188 @t305)) % 28.06/28.32 (step @p362 :rule instantiate :premises (@p18) :args ((@list |tptp.'$ki_local_world'| @t231 @t307))) % 28.06/28.32 (step @p363 :rule cnf_or_pos :args (@t316)) % 28.06/28.32 (step @p364 :rule reordering :premises (@p363) :args ((or @t303 @t313 @t315 (not @t316)))) % 28.06/28.32 (step @p365 :rule instantiate :premises (@p170) :args (@t317)) % 28.06/28.33 (step @p366 :rule cnf_or_pos :args (@t320)) % 28.06/28.33 (step @p367 :rule reordering :premises (@p366) :args ((or @t319 @t318 (not @t320)))) % 28.06/28.33 (step @p368 :rule instantiate :premises (@p203) :args (@t317)) % 28.06/28.33 (step @p369 :rule cnf_or_pos :args (@t322)) % 28.06/28.33 (step @p370 :rule reordering :premises (@p369) :args ((or @t319 @t321 (not @t322)))) % 28.06/28.33 (step @p371 :rule cnf_and_pos :args (@t318 0)) % 28.06/28.33 (step @p372 :rule reordering :premises (@p371) :args ((or @t311 (not @t318)))) % 28.06/28.33 (step @p373 :rule cnf_and_pos :args (@t321 0)) % 28.06/28.33 (step @p374 :rule reordering :premises (@p373) :args ((or @t310 @t323))) % 28.06/28.33 (step @p375 :rule cnf_and_pos :args (@t321 1)) % 28.06/28.33 (step @p376 :rule reordering :premises (@p375) :args ((or @t309 @t323))) % 28.06/28.33 (step @p377 :rule cnf_and_neg :args (@t312)) % 28.06/28.33 (step @p378 :rule chain_m_resolution :premises (@p377 @p376 @p374 @p372 @p370 @p368 @p367 @p365 @p364 @p362 @p361 @p355 @p354) :args (@t314 (@list false false false false false false false false false false true false) (@list @t309 @t310 @t311 @t321 @t322 @t318 @t320 @t315 @t316 @t302 @t312 @t308))) % 28.06/28.33 (step @p379 :rule refl :args (@t324)) % 28.06/28.33 (step @p380 :rule bool-double-not-elim :args (@t306)) % 28.06/28.33 (step @p381 :rule nary_cong :premises (@p380 @p379) :args ((or (not @t325) @t324))) % 28.06/28.33 (assume-push @p438 @t325) % 28.06/28.33 (step @p383 :rule skolemize :premises (@p438)) % 28.06/28.33 (step-pop @p439 :rule scope :premises (@p383)) % 28.06/28.33 (step @p384 :rule process_scope :premises (@p439) :args (@t324)) % 28.06/28.33 (step @p386 :rule implies_elim :premises (@p384)) % 28.06/28.33 (step @p387 :rule eq_resolve :premises (@p386 @p381)) % 28.06/28.33 (step @p388 :rule chain_m_resolution :premises (@p387 @p378) :args (@t306 @t193 (@list @t314))) % 28.06/28.33 (step @p389 :rule instantiate :premises (@p3) :args ((@list @t231 @t170))) % 28.06/28.33 (step @p390 :rule instantiate :premises (@p3) :args ((@list @t231 @t167))) % 28.06/28.33 (step @p391 :rule cnf_or_pos :args (@t333)) % 28.06/28.33 (step @p392 :rule factoring :premises (@p391)) % 28.06/28.33 (step @p393 :rule reordering :premises (@p392) :args ((or @t328 @t332 @t325 @t330 @t326 (not @t333)))) % 28.06/28.33 (step @p394 :rule chain_m_resolution :premises (@p393 @p390 @p389 @p388 @p348 @p347) :args (@t326 (@list false false false false false) (@list @t327 @t331 @t306 @t329 @t333))) % 28.06/28.33 (step @p395 :rule refl :args (@t342)) % 28.06/28.33 (step @p396 :rule bool-double-not-elim :args (@t233)) % 28.06/28.33 (step @p397 :rule nary_cong :premises (@p396 @p395) :args ((or (not @t326) @t342))) % 28.06/28.33 (assume-push @p440 @t326) % 28.06/28.33 (step @p399 :rule skolemize :premises (@p440)) % 28.06/28.33 (step-pop @p441 :rule scope :premises (@p399)) % 28.06/28.33 (step @p400 :rule process_scope :premises (@p441) :args (@t342)) % 28.06/28.33 (step @p402 :rule implies_elim :premises (@p400)) % 28.06/28.33 (step @p403 :rule eq_resolve :premises (@p402 @p397)) % 28.06/28.33 (step @p404 :rule chain_m_resolution :premises (@p403 @p394) :args (@t342 @t188 (@list @t233))) % 28.06/28.33 (step @p405 :rule cnf_or_neg :args (@t341 3)) % 28.06/28.33 (step @p406 :rule chain_m_resolution :premises (@p405 @p404) :args ((not @t334) @t188 @t343)) % 28.06/28.33 (step @p407 :rule bool-double-not-elim :args (@t335)) % 28.06/28.33 (step @p408 :rule refl :args (@t341)) % 28.06/28.33 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or @t341 (not @t336)))) % 28.06/28.33 (step @p410 :rule cnf_or_neg :args (@t341 2)) % 28.06/28.33 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 28.06/28.33 (step @p412 :rule reordering :premises (@p411) :args ((or @t335 @t341))) % 28.06/28.33 (step @p413 :rule chain_m_resolution :premises (@p412 @p404) :args (@t335 @t188 @t343)) % 28.06/28.33 (step @p414 :rule bool-double-not-elim :args (@t337)) % 28.06/28.33 (step @p415 :rule nary_cong :premises (@p408 @p414) :args ((or @t341 (not @t338)))) % 28.06/28.33 (step @p416 :rule cnf_or_neg :args (@t341 1)) % 28.06/28.33 (step @p417 :rule eq_resolve :premises (@p416 @p415)) % 28.06/28.33 (step @p418 :rule reordering :premises (@p417) :args ((or @t337 @t341))) % 28.06/28.33 (step @p419 :rule chain_m_resolution :premises (@p418 @p404) :args (@t337 @t188 @t343)) % 28.06/28.33 (step @p420 :rule cnf_or_pos :args (@t346)) % 28.06/28.33 (step @p421 :rule reordering :premises (@p420) :args ((or @t338 @t336 @t334 @t345 (not @t346)))) % 28.06/28.33 (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p413 @p406 @p229) :args (@t345 (@list false false true false) (@list @t337 @t335 @t334 @t346))) % 28.06/28.33 (step @p423 :rule bool-double-not-elim :args (@t339)) % 28.06/28.33 (step @p424 :rule nary_cong :premises (@p408 @p423) :args ((or @t341 (not @t340)))) % 28.06/28.33 (step @p425 :rule cnf_or_neg :args (@t341 0)) % 28.06/28.33 (step @p426 :rule eq_resolve :premises (@p425 @p424)) % 28.06/28.33 (step @p427 :rule reordering :premises (@p426) :args ((or @t339 @t341))) % 28.06/28.33 (step @p428 :rule chain_m_resolution :premises (@p427 @p404) :args (@t339 @t188 @t343)) % 28.06/28.33 (step @p429 :rule cnf_or_pos :args (@t347)) % 28.06/28.33 (step @p430 :rule reordering :premises (@p429) :args ((or @t303 @t340 @t344 @t348))) % 28.06/28.33 (step @p431 :rule chain_m_resolution :premises (@p430 @p361 @p428 @p422) :args (@t348 (@list false false true) (@list @t302 @t339 @t344))) % 28.06/28.33 (assume-push @p442 @t349) % 28.06/28.33 (step @p433 :rule instantiate :premises (@p18) :args ((@list |tptp.'$ki_local_world'| @t231 @t235))) % 28.06/28.33 (step-pop @p443 :rule scope :premises (@p433)) % 28.06/28.33 (step @p434 :rule process_scope :premises (@p443) :args (@t347)) % 28.06/28.33 (step @p436 :rule implies_elim :premises (@p434)) % 28.06/28.33 (step @p437 false :rule chain_m_resolution :premises (@p436 @p431 @p18) :args (false (@list true false) (@list @t347 @t349))) % 28.06/28.33 ) % 28.06/28.33 % SZS output end Proof % 28.06/28.33 % cvc5 exiting %------------------------------------------------------------------------------