%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP266_23 : 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 : n010.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 08:37:17 AM UTC 2026 % Result : Theorem 28.62s 28.87s % Output : Proof 28.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NLP266_23 : TPTP v9.2.1. Released v8.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 10:17:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 28.62/28.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.62/28.87 --- Run --no-e-matching --full-saturate-quant at 6... % 28.62/28.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.62/28.87 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.62/28.87 % SZS status Theorem % 28.62/28.87 % SZS output start Proof % 28.62/28.87 ( % 28.62/28.87 (declare-sort |tptp.'$ki_world'| 0) % 28.62/28.87 (declare-sort $$unsorted 0) % 28.62/28.87 (declare-const tptp.do (-> |tptp.'$ki_world'| $$unsorted $$unsorted $$unsorted Bool)) % 28.62/28.87 (declare-const tptp.in (-> |tptp.'$ki_world'| $$unsorted $$unsorted $$unsorted Bool)) % 28.62/28.87 (declare-const tptp.entry_box (-> |tptp.'$ki_world'| $$unsorted Bool)) % 28.62/28.87 (declare-const tptp.number (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 28.62/28.87 (declare-const tptp.one $$unsorted) % 28.62/28.87 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 28.62/28.87 (declare-const tptp.userid (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 28.62/28.87 (declare-const tptp.u $$unsorted) % 28.62/28.87 (declare-const tptp.string (-> |tptp.'$ki_world'| $$unsorted Bool)) % 28.62/28.87 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 28.62/28.87 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 28.62/28.87 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 28.62/28.87 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 28.62/28.87 (define @t3 () (@var "X" $$unsorted)) % 28.62/28.87 (define @t4 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t3)) % 28.62/28.87 (define @t5 () (forall (@list @t2 @t3) @t4)) % 28.62/28.87 (define @t6 () (@list @t2)) % 28.62/28.87 (define @t7 () (@var "I" $$unsorted)) % 28.62/28.87 (define @t8 () (@var "W0" |tptp.'$ki_world'|)) % 28.62/28.87 (define @t9 () (tptp.userid @t8 tptp.u @t7)) % 28.62/28.87 (define @t10 () (and @t9 (tptp.string @t8 @t7))) % 28.62/28.87 (define @t11 () (|tptp.'$ki_accessible'| @t2 @t8)) % 28.62/28.87 (define @t12 () (@list @t8)) % 28.62/28.87 (define @t13 () (forall @t12 (=> @t11 @t10))) % 28.62/28.87 (define @t14 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t7)) % 28.62/28.87 (define @t15 () (and @t14 @t13)) % 28.62/28.87 (define @t16 () (@list @t7)) % 28.62/28.87 (define @t17 () (exists @t16 @t15)) % 28.62/28.87 (define @t18 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2)) % 28.62/28.87 (define @t19 () (=> @t18 @t17)) % 28.62/28.87 (define @t20 () (forall @t6 @t19)) % 28.62/28.87 (define @t21 () (@var "B" $$unsorted)) % 28.62/28.87 (define @t22 () (tptp.entry_box @t2 @t21)) % 28.62/28.87 (define @t23 () (and @t22 (tptp.number @t2 @t21 tptp.one))) % 28.62/28.87 (define @t24 () (forall @t6 (=> @t18 @t23))) % 28.62/28.87 (define @t25 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t21)) % 28.62/28.87 (define @t26 () (and @t25 @t24)) % 28.62/28.87 (define @t27 () (@list @t21)) % 28.62/28.87 (define @t28 () (exists @t27 @t26)) % 28.62/28.87 (define @t29 () (@var "S2" $$unsorted)) % 28.62/28.87 (define @t30 () (tptp.in @t8 @t7 @t21 @t29)) % 28.62/28.87 (define @t31 () (@var "A" $$unsorted)) % 28.62/28.87 (define @t32 () (@var "S" $$unsorted)) % 28.62/28.87 (define @t33 () (tptp.do @t8 @t32 @t31 @t29)) % 28.62/28.87 (define @t34 () (=> @t33 @t30)) % 28.62/28.87 (define @t35 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t29)) % 28.62/28.87 (define @t36 () (@list @t29)) % 28.62/28.87 (define @t37 () (forall @t36 (=> @t35 @t34))) % 28.62/28.87 (define @t38 () (=> @t11 @t37)) % 28.62/28.87 (define @t39 () (forall @t12 @t38)) % 28.62/28.87 (define @t40 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t31)) % 28.62/28.87 (define @t41 () (and @t40 @t39)) % 28.62/28.87 (define @t42 () (@list @t31)) % 28.62/28.87 (define @t43 () (exists @t42 @t41)) % 28.62/28.87 (define @t44 () (tptp.string @t2 @t7)) % 28.62/28.87 (define @t45 () (and @t44 @t22)) % 28.62/28.87 (define @t46 () (=> @t45 @t43)) % 28.62/28.87 (define @t47 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t21)) % 28.62/28.87 (define @t48 () (=> @t47 @t46)) % 28.62/28.87 (define @t49 () (forall @t27 @t48)) % 28.62/28.87 (define @t50 () (=> @t14 @t49)) % 28.62/28.87 (define @t51 () (forall @t16 @t50)) % 28.62/28.87 (define @t52 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t32)) % 28.62/28.87 (define @t53 () (=> @t52 @t51)) % 28.62/28.87 (define @t54 () (@list @t32)) % 28.62/28.87 (define @t55 () (forall @t54 @t53)) % 28.62/28.87 (define @t56 () (=> @t18 @t55)) % 28.62/28.87 (define @t57 () (forall @t6 @t56)) % 28.62/28.87 (define @t58 () (and @t9 (tptp.entry_box @t8 @t21) (tptp.number @t8 @t21 tptp.one))) % 28.62/28.87 (define @t59 () (forall @t12 (=> @t11 @t58))) % 28.62/28.87 (define @t60 () (and @t52 @t59 @t39)) % 28.62/28.87 (define @t61 () (exists @t54 @t60)) % 28.62/28.87 (define @t62 () (and @t40 @t61)) % 28.62/28.87 (define @t63 () (exists @t42 @t62)) % 28.62/28.87 (define @t64 () (and @t47 @t63)) % 28.62/28.87 (define @t65 () (exists @t27 @t64)) % 28.62/28.87 (define @t66 () (and @t14 @t65)) % 28.62/28.87 (define @t67 () (exists @t16 @t66)) % 28.62/28.87 (define @t68 () (=> @t18 @t67)) % 28.62/28.87 (define @t69 () (forall @t6 @t68)) % 28.62/28.87 (define @t70 () (not @t69)) % 28.62/28.87 (define @t71 () (@var "BOUND_VARIABLE_7554" $$unsorted)) % 28.62/28.87 (define @t72 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 28.62/28.87 (define @t73 () (tptp.in @t8 @t7 @t72 @t71)) % 28.62/28.87 (define @t74 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 28.62/28.87 (define @t75 () (@var "BOUND_VARIABLE_7759" $$unsorted)) % 28.62/28.87 (define @t76 () (not (tptp.do @t8 @t75 @t74 @t71))) % 28.62/28.87 (define @t77 () (not (|tptp.'$ki_exists_in_world_$i'| @t8 @t71))) % 28.62/28.87 (define @t78 () (not @t11)) % 28.62/28.87 (define @t79 () (@list @t8 @t71)) % 28.62/28.87 (define @t80 () (not (forall @t79 (or @t78 @t77 @t76 @t73)))) % 28.62/28.87 (define @t81 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t75))) % 28.62/28.87 (define @t82 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t74))) % 28.62/28.87 (define @t83 () (and @t9 (tptp.entry_box @t8 @t72) (tptp.number @t8 @t72 tptp.one))) % 28.62/28.87 (define @t84 () (not (forall @t12 (or @t78 @t83)))) % 28.62/28.87 (define @t85 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t72))) % 28.62/28.87 (define @t86 () (not @t14)) % 28.62/28.87 (define @t87 () (or @t86 @t85 @t84 @t82 @t81 @t80)) % 28.62/28.87 (define @t88 () (@list @t7 @t72 @t74 @t75)) % 28.62/28.87 (define @t89 () (not (forall @t88 @t87))) % 28.62/28.87 (define @t90 () (or @t85 @t84 @t82 @t81 @t80)) % 28.62/28.87 (define @t91 () (or @t86 @t90)) % 28.62/28.87 (define @t92 () (forall @t88 @t91)) % 28.62/28.87 (define @t93 () (@list @t72 @t74 @t75)) % 28.62/28.87 (define @t94 () (forall @t93 @t91)) % 28.62/28.87 (define @t95 () (forall @t93 @t90)) % 28.62/28.87 (define @t96 () (@var "BOUND_VARIABLE_7730" $$unsorted)) % 28.62/28.87 (define @t97 () (@var "BOUND_VARIABLE_7728" $$unsorted)) % 28.62/28.87 (define @t98 () (or @t86 @t95)) % 28.62/28.87 (define @t99 () (tptp.in @t8 @t7 @t21 @t71)) % 28.62/28.87 (define @t100 () (not (forall @t79 (or @t78 @t77 (not (tptp.do @t8 @t96 @t97 @t71)) @t99)))) % 28.62/28.87 (define @t101 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t96))) % 28.62/28.87 (define @t102 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t97))) % 28.62/28.87 (define @t103 () (forall @t12 (or @t78 @t58))) % 28.62/28.87 (define @t104 () (not @t103)) % 28.62/28.87 (define @t105 () (not @t47)) % 28.62/28.87 (define @t106 () (or @t105 @t104 @t102 @t101 @t100)) % 28.62/28.87 (define @t107 () (@list @t21 @t97 @t96)) % 28.62/28.87 (define @t108 () (forall @t107 @t106)) % 28.62/28.87 (define @t109 () (not @t108)) % 28.62/28.87 (define @t110 () (and @t14 @t109)) % 28.62/28.87 (define @t111 () (forall @t16 (not @t110))) % 28.62/28.87 (define @t112 () (not @t111)) % 28.62/28.87 (define @t113 () (or @t102 @t101 @t100)) % 28.62/28.87 (define @t114 () (or @t105 @t104 @t113)) % 28.62/28.87 (define @t115 () (forall @t107 @t114)) % 28.62/28.87 (define @t116 () (@list @t97 @t96)) % 28.62/28.87 (define @t117 () (forall @t116 @t114)) % 28.62/28.87 (define @t118 () (forall @t116 @t113)) % 28.62/28.87 (define @t119 () (@var "BOUND_VARIABLE_7704" $$unsorted)) % 28.62/28.87 (define @t120 () (or @t105 @t104 @t118)) % 28.62/28.87 (define @t121 () (not (forall @t79 (or @t78 @t77 (not (tptp.do @t8 @t119 @t31 @t71)) @t99)))) % 28.62/28.87 (define @t122 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t119))) % 28.62/28.87 (define @t123 () (not @t40)) % 28.62/28.87 (define @t124 () (or @t123 @t122 @t121)) % 28.62/28.87 (define @t125 () (@list @t31 @t119)) % 28.62/28.87 (define @t126 () (forall @t125 @t124)) % 28.62/28.87 (define @t127 () (or @t105 @t104 @t126)) % 28.62/28.87 (define @t128 () (or @t104 @t126)) % 28.62/28.87 (define @t129 () (not @t128)) % 28.62/28.87 (define @t130 () (and @t47 @t129)) % 28.62/28.87 (define @t131 () (forall @t27 (not @t130))) % 28.62/28.87 (define @t132 () (not @t131)) % 28.62/28.87 (define @t133 () (or @t122 @t121)) % 28.62/28.87 (define @t134 () (or @t123 @t133)) % 28.62/28.87 (define @t135 () (forall @t125 @t134)) % 28.62/28.87 (define @t136 () (@list @t119)) % 28.62/28.87 (define @t137 () (forall @t136 @t134)) % 28.62/28.87 (define @t138 () (forall @t136 @t133)) % 28.62/28.87 (define @t139 () (or @t123 @t138)) % 28.62/28.87 (define @t140 () (not (tptp.do @t8 @t32 @t31 @t71))) % 28.62/28.87 (define @t141 () (or @t78 @t77 @t140 @t99)) % 28.62/28.87 (define @t142 () (forall @t79 @t141)) % 28.62/28.87 (define @t143 () (not @t142)) % 28.62/28.87 (define @t144 () (not @t52)) % 28.62/28.87 (define @t145 () (or @t144 @t143)) % 28.62/28.87 (define @t146 () (forall @t54 @t145)) % 28.62/28.87 (define @t147 () (or @t123 @t146)) % 28.62/28.87 (define @t148 () (forall @t42 @t147)) % 28.62/28.87 (define @t149 () (or @t104 @t148)) % 28.62/28.87 (define @t150 () (or @t104 @t147)) % 28.62/28.87 (define @t151 () (or @t123 @t104 @t146)) % 28.62/28.87 (define @t152 () (or @t104 @t146)) % 28.62/28.87 (define @t153 () (not @t152)) % 28.62/28.87 (define @t154 () (and @t40 @t153)) % 28.62/28.87 (define @t155 () (forall @t42 (not @t154))) % 28.62/28.87 (define @t156 () (not @t155)) % 28.62/28.87 (define @t157 () (or @t104 @t145)) % 28.62/28.87 (define @t158 () (or @t144 @t104 @t143)) % 28.62/28.87 (define @t159 () (and @t52 @t103 @t142)) % 28.62/28.87 (define @t160 () (forall @t54 (not @t159))) % 28.62/28.87 (define @t161 () (not @t160)) % 28.62/28.87 (define @t162 () (or @t77 @t140 @t99)) % 28.62/28.87 (define @t163 () (or @t78 @t162)) % 28.62/28.87 (define @t164 () (forall @t79 @t163)) % 28.62/28.87 (define @t165 () (@list @t71)) % 28.62/28.87 (define @t166 () (forall @t165 @t163)) % 28.62/28.87 (define @t167 () (forall @t165 @t162)) % 28.62/28.87 (define @t168 () (or @t78 @t167)) % 28.62/28.87 (define @t169 () (not @t33)) % 28.62/28.87 (define @t170 () (not @t35)) % 28.62/28.87 (define @t171 () (or @t170 @t169 @t30)) % 28.62/28.87 (define @t172 () (forall @t36 @t171)) % 28.62/28.87 (define @t173 () (not @t18)) % 28.62/28.87 (define @t174 () (@quantifiers_skolemize (forall @t6 (or @t173 @t89)) 0)) % 28.62/28.87 (define @t175 () (not (|tptp.'$ki_accessible'| @t174 @t8))) % 28.62/28.87 (define @t176 () (forall @t88 (or (not (|tptp.'$ki_exists_in_world_$i'| @t174 @t7)) (not (|tptp.'$ki_exists_in_world_$i'| @t174 @t72)) (not (forall @t12 (or @t175 @t83))) (not (|tptp.'$ki_exists_in_world_$i'| @t174 @t74)) (not (|tptp.'$ki_exists_in_world_$i'| @t174 @t75)) (not (forall @t79 (or @t175 @t77 @t76 @t73)))))) % 28.62/28.87 (define @t177 () (not @t176)) % 28.62/28.87 (define @t178 () (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t174)) @t177)) % 28.62/28.87 (define @t179 () (@list true)) % 28.62/28.87 (define @t180 () (forall @t6 (or @t173 @t23))) % 28.62/28.87 (define @t181 () (@quantifiers_skolemize (forall @t27 (or (not @t25) (not @t180))) 0)) % 28.62/28.87 (define @t182 () (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t8))) % 28.62/28.87 (define @t183 () (forall @t16 (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t7)) (not (forall @t12 (or @t182 @t10)))))) % 28.62/28.87 (define @t184 () (@quantifiers_skolemize @t183 0)) % 28.62/28.87 (define @t185 () (tptp.in @t8 @t184 @t181 @t71)) % 28.62/28.87 (define @t186 () (forall @t42 (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t31)) (not (forall @t79 (or @t182 @t77 (not (tptp.do @t8 @t181 @t31 @t71)) @t185)))))) % 28.62/28.87 (define @t187 () (@quantifiers_skolemize @t186 0)) % 28.62/28.87 (define @t188 () (not (tptp.do @t8 @t181 @t187 @t71))) % 28.62/28.87 (define @t189 () (forall @t79 (or @t175 @t77 @t188 @t185))) % 28.62/28.87 (define @t190 () (@quantifiers_skolemize @t189 1)) % 28.62/28.87 (define @t191 () (@quantifiers_skolemize @t189 0)) % 28.62/28.87 (define @t192 () (tptp.do @t191 @t181 @t187 @t190)) % 28.62/28.87 (define @t193 () (tptp.in @t191 @t184 @t181 @t190)) % 28.62/28.87 (define @t194 () (not @t192)) % 28.62/28.87 (define @t195 () (|tptp.'$ki_exists_in_world_$i'| @t191 @t190)) % 28.62/28.87 (define @t196 () (not @t195)) % 28.62/28.87 (define @t197 () (or (not (|tptp.'$ki_accessible'| @t174 @t191)) @t196 @t194 @t193)) % 28.62/28.87 (define @t198 () (@list @t191 @t190)) % 28.62/28.87 (define @t199 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 28.62/28.87 (define @t200 () (@var "BOUND_VARIABLE_7650" $$unsorted)) % 28.62/28.87 (define @t201 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 28.62/28.87 (define @t202 () (not (forall @t42 (or @t123 (not (forall @t79 (or @t78 @t77 (not (tptp.do @t8 @t201 @t31 @t71)) (tptp.in @t8 @t200 @t199 @t71)))))))) % 28.62/28.87 (define @t203 () (not (tptp.entry_box @t2 @t199))) % 28.62/28.87 (define @t204 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t199))) % 28.62/28.87 (define @t205 () (not (tptp.string @t2 @t200))) % 28.62/28.87 (define @t206 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t200))) % 28.62/28.87 (define @t207 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t201))) % 28.62/28.87 (define @t208 () (or @t207 @t206 @t205 @t204 @t203 @t202)) % 28.62/28.87 (define @t209 () (or @t173 @t208)) % 28.62/28.87 (define @t210 () (forall (@list @t2 @t201 @t200 @t199) @t209)) % 28.62/28.87 (define @t211 () (@list @t201 @t200 @t199)) % 28.62/28.87 (define @t212 () (forall @t211 @t209)) % 28.62/28.87 (define @t213 () (forall @t211 @t208)) % 28.62/28.87 (define @t214 () (@var "BOUND_VARIABLE_7621" $$unsorted)) % 28.62/28.87 (define @t215 () (@var "BOUND_VARIABLE_7619" $$unsorted)) % 28.62/28.87 (define @t216 () (or @t173 @t213)) % 28.62/28.87 (define @t217 () (not (forall @t42 (or @t123 (not (forall @t79 (or @t78 @t77 @t140 (tptp.in @t8 @t215 @t214 @t71)))))))) % 28.62/28.87 (define @t218 () (not (tptp.entry_box @t2 @t214))) % 28.62/28.87 (define @t219 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t214))) % 28.62/28.87 (define @t220 () (not (tptp.string @t2 @t215))) % 28.62/28.87 (define @t221 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t215))) % 28.62/28.87 (define @t222 () (or @t144 @t221 @t220 @t219 @t218 @t217)) % 28.62/28.87 (define @t223 () (@list @t32 @t215 @t214)) % 28.62/28.87 (define @t224 () (forall @t223 @t222)) % 28.62/28.87 (define @t225 () (or @t221 @t220 @t219 @t218 @t217)) % 28.62/28.87 (define @t226 () (or @t144 @t225)) % 28.62/28.87 (define @t227 () (forall @t223 @t226)) % 28.62/28.87 (define @t228 () (@list @t215 @t214)) % 28.62/28.87 (define @t229 () (forall @t228 @t226)) % 28.62/28.87 (define @t230 () (forall @t228 @t225)) % 28.62/28.87 (define @t231 () (@var "BOUND_VARIABLE_7595" $$unsorted)) % 28.62/28.87 (define @t232 () (or @t144 @t230)) % 28.62/28.87 (define @t233 () (not (forall @t42 (or @t123 (not (forall @t79 (or @t78 @t77 @t140 (tptp.in @t8 @t7 @t231 @t71)))))))) % 28.62/28.87 (define @t234 () (not (tptp.entry_box @t2 @t231))) % 28.62/28.87 (define @t235 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t231))) % 28.62/28.87 (define @t236 () (not @t44)) % 28.62/28.87 (define @t237 () (or @t86 @t236 @t235 @t234 @t233)) % 28.62/28.87 (define @t238 () (@list @t7 @t231)) % 28.62/28.87 (define @t239 () (forall @t238 @t237)) % 28.62/28.87 (define @t240 () (or @t235 @t234 @t233)) % 28.62/28.87 (define @t241 () (or @t86 @t236 @t240)) % 28.62/28.87 (define @t242 () (forall @t238 @t241)) % 28.62/28.87 (define @t243 () (@list @t231)) % 28.62/28.87 (define @t244 () (forall @t243 @t241)) % 28.62/28.87 (define @t245 () (forall @t243 @t240)) % 28.62/28.87 (define @t246 () (or @t86 @t236 @t245)) % 28.62/28.87 (define @t247 () (not (forall @t42 (or @t123 @t143)))) % 28.62/28.87 (define @t248 () (not @t22)) % 28.62/28.87 (define @t249 () (or @t105 @t248 @t247)) % 28.62/28.87 (define @t250 () (forall @t27 @t249)) % 28.62/28.87 (define @t251 () (or @t86 @t236 @t250)) % 28.62/28.87 (define @t252 () (or @t236 @t250)) % 28.62/28.87 (define @t253 () (or @t236 @t249)) % 28.62/28.87 (define @t254 () (or @t105 @t236 @t248 @t247)) % 28.62/28.87 (define @t255 () (or @t236 @t248 @t247)) % 28.62/28.87 (define @t256 () (=> @t45 @t247)) % 28.62/28.87 (define @t257 () (and @t40 @t142)) % 28.62/28.87 (define @t258 () (forall @t42 (not @t257))) % 28.62/28.87 (define @t259 () (not @t258)) % 28.62/28.87 (define @t260 () (forall @t12 (or @t78 @t10))) % 28.62/28.87 (define @t261 () (not (forall @t16 (or @t86 (not @t260))))) % 28.62/28.87 (define @t262 () (and @t14 @t260)) % 28.62/28.87 (define @t263 () (forall @t16 (not @t262))) % 28.62/28.87 (define @t264 () (not @t263)) % 28.62/28.87 (define @t265 () (@list |tptp.'$ki_local_world'|)) % 28.62/28.87 (define @t266 () (not @t183)) % 28.62/28.87 (define @t267 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| |tptp.'$ki_local_world'|)) % 28.62/28.87 (define @t268 () (not @t267)) % 28.62/28.87 (define @t269 () (or @t268 @t266)) % 28.62/28.87 (define @t270 () (@list false false)) % 28.62/28.87 (define @t271 () (tptp.userid @t8 tptp.u @t184)) % 28.62/28.87 (define @t272 () (forall @t12 (or @t182 (and @t271 (tptp.string @t8 @t184))))) % 28.62/28.87 (define @t273 () (not @t272)) % 28.62/28.87 (define @t274 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t184)) % 28.62/28.87 (define @t275 () (not @t274)) % 28.62/28.87 (define @t276 () (or @t275 @t273)) % 28.62/28.87 (define @t277 () (@list @t276)) % 28.62/28.87 (define @t278 () (tptp.string |tptp.'$ki_local_world'| @t184)) % 28.62/28.87 (define @t279 () (and (tptp.userid |tptp.'$ki_local_world'| tptp.u @t184) @t278)) % 28.62/28.87 (define @t280 () (or @t268 @t279)) % 28.62/28.87 (define @t281 () (@list false)) % 28.62/28.87 (define @t282 () (and @t25 @t180)) % 28.62/28.87 (define @t283 () (forall @t27 (not @t282))) % 28.62/28.87 (define @t284 () (not @t283)) % 28.62/28.87 (define @t285 () (forall @t6 (or @t173 (and (tptp.entry_box @t2 @t181) (tptp.number @t2 @t181 tptp.one))))) % 28.62/28.87 (define @t286 () (not @t285)) % 28.62/28.87 (define @t287 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t181)) % 28.62/28.87 (define @t288 () (not @t287)) % 28.62/28.87 (define @t289 () (or @t288 @t286)) % 28.62/28.87 (define @t290 () (@list @t289)) % 28.62/28.87 (define @t291 () (tptp.entry_box |tptp.'$ki_local_world'| @t181)) % 28.62/28.87 (define @t292 () (and @t291 (tptp.number |tptp.'$ki_local_world'| @t181 tptp.one))) % 28.62/28.87 (define @t293 () (or @t268 @t292)) % 28.62/28.87 (define @t294 () (not @t186)) % 28.62/28.87 (define @t295 () (not @t291)) % 28.62/28.87 (define @t296 () (not @t278)) % 28.62/28.87 (define @t297 () (or @t268 @t288 @t275 @t296 @t288 @t295 @t294)) % 28.62/28.87 (define @t298 () (forall @t79 (or @t182 @t77 @t188 @t185))) % 28.62/28.87 (define @t299 () (not @t298)) % 28.62/28.87 (define @t300 () (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t187)) @t299)) % 28.62/28.87 (define @t301 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t191)) % 28.62/28.87 (define @t302 () (not @t301)) % 28.62/28.87 (define @t303 () (or @t302 @t196 @t194 @t193)) % 28.62/28.87 (define @t304 () (not @t197)) % 28.62/28.87 (define @t305 () (not @t189)) % 28.62/28.87 (define @t306 () (forall @t12 (or @t175 (and @t271 (tptp.entry_box @t8 @t181) (tptp.number @t8 @t181 tptp.one))))) % 28.62/28.87 (define @t307 () (@quantifiers_skolemize @t306 0)) % 28.62/28.87 (define @t308 () (@list @t307)) % 28.62/28.87 (define @t309 () (tptp.number @t307 @t181 tptp.one)) % 28.62/28.87 (define @t310 () (tptp.entry_box @t307 @t181)) % 28.62/28.87 (define @t311 () (and @t310 @t309)) % 28.62/28.87 (define @t312 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t307)) % 28.62/28.87 (define @t313 () (not @t312)) % 28.62/28.87 (define @t314 () (or @t313 @t311)) % 28.62/28.87 (define @t315 () (not @t311)) % 28.62/28.87 (define @t316 () (@list @t311)) % 28.62/28.87 (define @t317 () (tptp.userid @t307 tptp.u @t184)) % 28.62/28.87 (define @t318 () (and @t317 (tptp.string @t307 @t184))) % 28.62/28.87 (define @t319 () (or @t313 @t318)) % 28.62/28.87 (define @t320 () (and @t317 @t310 @t309)) % 28.62/28.87 (define @t321 () (or (not (|tptp.'$ki_accessible'| @t174 @t307)) @t320)) % 28.62/28.87 (define @t322 () (not @t321)) % 28.62/28.87 (define @t323 () (not @t306)) % 28.62/28.87 (define @t324 () (|tptp.'$ki_exists_in_world_$i'| @t174 @t181)) % 28.62/28.87 (define @t325 () (not @t324)) % 28.62/28.87 (define @t326 () (|tptp.'$ki_exists_in_world_$i'| @t174 @t187)) % 28.62/28.87 (define @t327 () (not @t326)) % 28.62/28.87 (define @t328 () (|tptp.'$ki_exists_in_world_$i'| @t174 @t184)) % 28.62/28.87 (define @t329 () (not @t328)) % 28.62/28.87 (define @t330 () (or @t329 @t325 @t323 @t327 @t325 @t305)) % 28.62/28.87 (assume @p1 (forall (@list @t2 @t1) (|tptp.'$ki_accessible'| @t2 @t1))) % 28.62/28.87 (assume @p2 @t5) % 28.62/28.87 (assume @p3 (forall @t6 (exists (@list @t3) @t4))) % 28.62/28.87 (assume @p4 @t20) % 28.62/28.87 (assume @p5 @t28) % 28.62/28.87 (assume @p6 @t57) % 28.62/28.87 (assume @p7 @t70) % 28.62/28.87 (assume @p8 true) % 28.62/28.87 (step @p9 :rule bool-impl-elim :args (@t18 @t89)) % 28.62/28.87 (step @p10 :rule cong :premises (@p9) :args ((forall @t6 (=> @t18 @t89)))) % 28.62/28.87 (step @p11 :rule aci_norm :args ((= @t91 @t87))) % 28.62/28.87 (step @p12 :rule cong :premises (@p11) :args (@t92)) % 28.62/28.87 (step @p13 :rule quant-merge-prenex :args ((= (forall @t16 @t94) @t92))) % 28.62/28.87 (step @p14 :rule alpha_equiv :args (@t95 (@list @t72 @t74 @t75) (@list @t21 @t97 @t96))) % 28.62/28.87 (step @p15 :rule refl :args (@t86)) % 28.62/28.87 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t98)) % 28.62/28.87 (step @p17 :rule quant-miniscope-or :args ((= @t94 @t98))) % 28.62/28.87 (step @p18 :rule trans :premises (@p17 @p16)) % 28.62/28.87 (step @p19 :rule symm :premises (@p18)) % 28.62/28.87 (step @p20 :rule cong :premises (@p19) :args ((forall @t16 (or @t86 @t108)))) % 28.62/28.87 (step @p21 :rule trans :premises (@p20 @p13)) % 28.62/28.87 (step @p22 :rule trans :premises (@p21 @p12)) % 28.62/28.87 (step @p23 :rule bool-double-not-elim :args (@t108)) % 28.62/28.87 (step @p24 :rule nary_cong :premises (@p15 @p23) :args ((or @t86 (not @t109)))) % 28.62/28.87 (step @p25 :rule bool-and-de-morgan :args (@t14 @t109 true)) % 28.62/28.87 (step @p26 :rule trans :premises (@p25 @p24)) % 28.62/28.87 (step @p27 :rule cong :premises (@p26) :args (@t111)) % 28.62/28.87 (step @p28 :rule trans :premises (@p27 @p22)) % 28.62/28.87 (step @p29 :rule cong :premises (@p28) :args (@t112)) % 28.62/28.87 (step @p30 :rule exists-elim :args ((= (exists @t16 @t110) @t112))) % 28.62/28.87 (step @p31 :rule trans :premises (@p30 @p29)) % 28.62/28.87 (step @p32 :rule aci_norm :args ((= @t114 @t106))) % 28.62/28.87 (step @p33 :rule cong :premises (@p32) :args (@t115)) % 28.62/28.87 (step @p34 :rule quant-merge-prenex :args ((= (forall @t27 @t117) @t115))) % 28.62/28.87 (step @p35 :rule alpha_equiv :args (@t118 (@list @t97 @t96) (@list @t31 @t119))) % 28.62/28.87 (step @p36 :rule refl :args (@t104)) % 28.62/28.87 (step @p37 :rule refl :args (@t105)) % 28.62/28.87 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args (@t120)) % 28.62/28.87 (step @p39 :rule quant-miniscope-or :args ((= @t117 @t120))) % 28.62/28.87 (step @p40 :rule trans :premises (@p39 @p38)) % 28.62/28.87 (step @p41 :rule symm :premises (@p40)) % 28.62/28.87 (step @p42 :rule cong :premises (@p41) :args ((forall @t27 @t127))) % 28.62/28.87 (step @p43 :rule trans :premises (@p42 @p34)) % 28.62/28.87 (step @p44 :rule trans :premises (@p43 @p33)) % 28.62/28.87 (step @p45 :rule aci_norm :args ((= (or @t105 @t128) @t127))) % 28.62/28.87 (step @p46 :rule bool-double-not-elim :args (@t128)) % 28.62/28.87 (step @p47 :rule nary_cong :premises (@p37 @p46) :args ((or @t105 (not @t129)))) % 28.62/28.87 (step @p48 :rule bool-and-de-morgan :args (@t47 @t129 true)) % 28.62/28.87 (step @p49 :rule trans :premises (@p48 @p47)) % 28.62/28.87 (step @p50 :rule trans :premises (@p49 @p45)) % 28.62/28.87 (step @p51 :rule cong :premises (@p50) :args (@t131)) % 28.62/28.87 (step @p52 :rule trans :premises (@p51 @p44)) % 28.62/28.87 (step @p53 :rule cong :premises (@p52) :args (@t132)) % 28.62/28.87 (step @p54 :rule exists-elim :args ((= (exists @t27 @t130) @t132))) % 28.62/28.87 (step @p55 :rule trans :premises (@p54 @p53)) % 28.62/28.87 (step @p56 :rule aci_norm :args ((= @t134 @t124))) % 28.62/28.87 (step @p57 :rule cong :premises (@p56) :args (@t135)) % 28.62/28.87 (step @p58 :rule quant-merge-prenex :args ((= (forall @t42 @t137) @t135))) % 28.62/28.87 (step @p59 :rule alpha_equiv :args (@t138 (@list @t119) (@list @t32))) % 28.62/28.87 (step @p60 :rule refl :args (@t123)) % 28.62/28.87 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t139)) % 28.62/28.87 (step @p62 :rule quant-miniscope-or :args ((= @t137 @t139))) % 28.62/28.87 (step @p63 :rule trans :premises (@p62 @p61)) % 28.62/28.87 (step @p64 :rule symm :premises (@p63)) % 28.62/28.87 (step @p65 :rule cong :premises (@p64) :args (@t148)) % 28.62/28.87 (step @p66 :rule trans :premises (@p65 @p58)) % 28.62/28.87 (step @p67 :rule trans :premises (@p66 @p57)) % 28.62/28.87 (step @p68 :rule refl :args (@t104)) % 28.62/28.87 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t149)) % 28.62/28.87 (step @p70 :rule quant-miniscope-or :args ((= (forall @t42 @t150) @t149))) % 28.62/28.87 (step @p71 :rule aci_norm :args ((= @t151 @t150))) % 28.62/28.87 (step @p72 :rule cong :premises (@p71) :args ((forall @t42 @t151))) % 28.62/28.87 (step @p73 :rule trans :premises (@p72 @p70)) % 28.62/28.87 (step @p74 :rule trans :premises (@p73 @p69)) % 28.62/28.87 (step @p75 :rule aci_norm :args ((= (or @t123 @t152) @t151))) % 28.62/28.87 (step @p76 :rule bool-double-not-elim :args (@t152)) % 28.62/28.87 (step @p77 :rule nary_cong :premises (@p60 @p76) :args ((or @t123 (not @t153)))) % 28.62/28.87 (step @p78 :rule bool-and-de-morgan :args (@t40 @t153 true)) % 28.62/28.87 (step @p79 :rule trans :premises (@p78 @p77)) % 28.62/28.87 (step @p80 :rule trans :premises (@p79 @p75)) % 28.62/28.87 (step @p81 :rule cong :premises (@p80) :args (@t155)) % 28.62/28.87 (step @p82 :rule trans :premises (@p81 @p74)) % 28.62/28.87 (step @p83 :rule cong :premises (@p82) :args (@t156)) % 28.62/28.87 (step @p84 :rule exists-elim :args ((= (exists @t42 @t154) @t156))) % 28.62/28.87 (step @p85 :rule trans :premises (@p84 @p83)) % 28.62/28.87 (step @p86 :rule quant-miniscope-or :args ((= (forall @t54 @t157) @t152))) % 28.62/28.87 (step @p87 :rule aci_norm :args ((= @t158 @t157))) % 28.62/28.87 (step @p88 :rule cong :premises (@p87) :args ((forall @t54 @t158))) % 28.62/28.87 (step @p89 :rule trans :premises (@p88 @p86)) % 28.62/28.87 (step @p90 :rule aci_norm :args ((= (or @t144 (or @t104 @t143)) @t158))) % 28.62/28.87 (step @p91 :rule bool-and-de-morgan :args (@t103 @t142 true)) % 28.62/28.87 (step @p92 :rule refl :args (@t144)) % 28.62/28.87 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t144 (not (and @t103 @t142))))) % 28.62/28.87 (step @p94 :rule bool-and-de-morgan :args (@t52 @t103 (and @t142))) % 28.62/28.87 (step @p95 :rule trans :premises (@p94 @p93)) % 28.62/28.87 (step @p96 :rule trans :premises (@p95 @p90)) % 28.62/28.87 (step @p97 :rule cong :premises (@p96) :args (@t160)) % 28.62/28.87 (step @p98 :rule trans :premises (@p97 @p89)) % 28.62/28.87 (step @p99 :rule cong :premises (@p98) :args (@t161)) % 28.62/28.87 (step @p100 :rule exists-elim :args ((= (exists @t54 @t159) @t161))) % 28.62/28.87 (step @p101 :rule trans :premises (@p100 @p99)) % 28.62/28.87 (step @p102 :rule aci_norm :args ((= @t163 @t141))) % 28.62/28.87 (step @p103 :rule cong :premises (@p102) :args (@t164)) % 28.62/28.87 (step @p104 :rule quant-merge-prenex :args ((= (forall @t12 @t166) @t164))) % 28.62/28.87 (step @p105 :rule alpha_equiv :args (@t167 (@list @t71) (@list @t29))) % 28.62/28.87 (step @p106 :rule refl :args (@t78)) % 28.62/28.87 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t168)) % 28.62/28.87 (step @p108 :rule quant-miniscope-or :args ((= @t166 @t168))) % 28.62/28.87 (step @p109 :rule trans :premises (@p108 @p107)) % 28.62/28.87 (step @p110 :rule symm :premises (@p109)) % 28.62/28.87 (step @p111 :rule cong :premises (@p110) :args ((forall @t12 (or @t78 @t172)))) % 28.62/28.87 (step @p112 :rule trans :premises (@p111 @p104)) % 28.62/28.87 (step @p113 :rule trans :premises (@p112 @p103)) % 28.62/28.87 (step @p114 :rule bool-impl-elim :args (@t11 @t172)) % 28.62/28.87 (step @p115 :rule cong :premises (@p114) :args ((forall @t12 (=> @t11 @t172)))) % 28.62/28.87 (step @p116 :rule trans :premises (@p115 @p113)) % 28.62/28.87 (step @p117 :rule aci_norm :args ((= (or @t170 (or @t169 @t30)) @t171))) % 28.62/28.87 (step @p118 :rule bool-impl-elim :args (@t33 @t30)) % 28.62/28.87 (step @p119 :rule refl :args (@t170)) % 28.62/28.87 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t170 @t34))) % 28.62/28.87 (step @p121 :rule trans :premises (@p120 @p117)) % 28.62/28.87 (step @p122 :rule bool-impl-elim :args (@t35 @t34)) % 28.62/28.87 (step @p123 :rule trans :premises (@p122 @p121)) % 28.62/28.87 (step @p124 :rule cong :premises (@p123) :args (@t37)) % 28.62/28.87 (step @p125 :rule refl :args (@t11)) % 28.62/28.87 (step @p126 :rule cong :premises (@p125 @p124) :args (@t38)) % 28.62/28.87 (step @p127 :rule cong :premises (@p126) 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nary_cong :premises (@p315 @p328) :args ((or @t289 (not @t288)))) % 28.62/28.87 (step @p330 :rule cnf_or_neg :args (@t289 0)) % 28.62/28.87 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 28.62/28.87 (step @p332 :rule reordering :premises (@p331) :args ((or @t287 @t289))) % 28.62/28.87 (step @p333 :rule chain_m_resolution :premises (@p332 @p313) :args (@t287 @t179 @t290)) % 28.62/28.87 (step @p334 :rule cnf_or_pos :args (@t297)) % 28.62/28.87 (step @p335 :rule factoring :premises (@p334)) % 28.62/28.87 (step @p336 :rule reordering :premises (@p335) :args ((or @t288 @t268 @t295 @t275 @t296 @t294 (not @t297)))) % 28.62/28.87 (step @p337 :rule chain_m_resolution :premises (@p336 @p333 @p276 @p327 @p300 @p294 @p258) :args (@t294 (@list false false false false false false) (@list @t287 @t267 @t291 @t274 @t278 @t297))) % 28.62/28.87 (step @p338 :rule skolemize :premises (@p337)) % 28.62/28.87 (step @p339 :rule bool-double-not-elim :args (@t298)) % 28.62/28.87 (step @p340 :rule refl :args (@t300)) % 28.62/28.87 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t300 (not @t299)))) % 28.62/28.87 (step @p342 :rule cnf_or_neg :args (@t300 1)) % 28.62/28.87 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 28.62/28.87 (step @p344 :rule reordering :premises (@p343) :args ((or @t298 @t300))) % 28.62/28.87 (step @p345 :rule chain_m_resolution :premises (@p344 @p338) :args (@t298 @t179 (@list @t300))) % 28.62/28.87 (step @p346 :rule instantiate :premises (@p345) :args (@t198)) % 28.62/28.87 (step @p347 :rule cnf_or_pos :args (@t303)) % 28.62/28.87 (step @p348 :rule reordering :premises (@p347) :args ((or @t196 @t194 @t193 @t302 (not @t303)))) % 28.62/28.87 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p170 @p169 @p168 @p167) :args (@t197 (@list false false false true false) (@list @t303 @t301 @t195 @t193 @t192))) % 28.62/28.87 (step @p350 :rule refl :args (@t304)) % 28.62/28.87 (step @p351 :rule bool-double-not-elim :args (@t189)) % 28.62/28.87 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or (not @t305) @t304))) % 28.62/28.87 (assume-push @p404 @t305) % 28.62/28.87 (step @p354 :rule skolemize :premises (@p404)) % 28.62/28.87 (step-pop @p405 :rule scope :premises (@p354)) % 28.62/28.87 (step @p355 :rule process_scope :premises (@p405) :args (@t304)) % 28.62/28.87 (step @p357 :rule implies_elim :premises (@p355)) % 28.62/28.87 (step @p358 :rule eq_resolve :premises (@p357 @p352)) % 28.62/28.87 (step @p359 :rule chain_m_resolution :premises (@p358 @p349) :args (@t189 @t281 (@list @t197))) % 28.62/28.87 (step @p360 :rule instantiate :premises (@p320) :args (@t308)) % 28.62/28.87 (step @p361 :rule instantiate :premises (@p1) :args ((@list |tptp.'$ki_local_world'| @t307))) % 28.62/28.87 (step @p362 :rule cnf_or_pos :args (@t314)) % 28.62/28.87 (step @p363 :rule reordering :premises (@p362) :args ((or @t313 @t311 (not @t314)))) % 28.62/28.87 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p360) :args (@t311 @t270 (@list @t312 @t314))) % 28.62/28.87 (step @p365 :rule cnf_and_pos :args (@t311 1)) % 28.62/28.87 (step @p366 :rule reordering :premises (@p365) :args ((or @t309 @t315))) % 28.62/28.87 (step @p367 :rule chain_m_resolution :premises (@p366 @p364) :args (@t309 @t281 @t316)) % 28.62/28.87 (step @p368 :rule cnf_and_pos :args (@t311 0)) % 28.62/28.87 (step @p369 :rule reordering :premises (@p368) :args ((or @t310 @t315))) % 28.62/28.87 (step @p370 :rule chain_m_resolution :premises (@p369 @p364) :args (@t310 @t281 @t316)) % 28.62/28.87 (step @p371 :rule instantiate :premises (@p287) :args (@t308)) % 28.62/28.87 (step @p372 :rule cnf_or_pos :args (@t319)) % 28.62/28.87 (step @p373 :rule reordering :premises (@p372) :args ((or @t313 @t318 (not @t319)))) % 28.62/28.87 (step @p374 :rule chain_m_resolution :premises (@p373 @p361 @p371) :args (@t318 @t270 (@list @t312 @t319))) % 28.62/28.87 (step @p375 :rule cnf_and_pos :args (@t318 0)) % 28.62/28.87 (step @p376 :rule reordering :premises (@p375) :args ((or @t317 (not @t318)))) % 28.62/28.87 (step @p377 :rule chain_m_resolution :premises (@p376 @p374) :args (@t317 @t281 (@list @t318))) % 28.62/28.87 (step @p378 :rule cnf_and_neg :args (@t320)) % 28.62/28.87 (step @p379 :rule chain_m_resolution :premises (@p378 @p377 @p370 @p367) :args (@t320 (@list false false false) (@list @t317 @t310 @t309))) % 28.62/28.87 (step @p380 :rule cnf_or_neg :args (@t321 1)) % 28.62/28.87 (step @p381 :rule chain_m_resolution :premises (@p380 @p379) :args (@t321 @t281 (@list @t320))) % 28.62/28.87 (step @p382 :rule refl :args (@t322)) % 28.62/28.87 (step @p383 :rule bool-double-not-elim :args (@t306)) % 28.62/28.87 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or (not @t323) @t322))) % 28.62/28.87 (assume-push @p406 @t323) % 28.62/28.87 (step @p386 :rule skolemize :premises (@p406)) % 28.62/28.87 (step-pop @p407 :rule scope :premises (@p386)) % 28.62/28.87 (step @p387 :rule process_scope :premises (@p407) :args (@t322)) % 28.62/28.87 (step @p389 :rule implies_elim :premises (@p387)) % 28.62/28.87 (step @p390 :rule eq_resolve :premises (@p389 @p384)) % 28.62/28.87 (step @p391 :rule chain_m_resolution :premises (@p390 @p381) :args (@t306 @t281 (@list @t321))) % 28.62/28.87 (step @p392 :rule instantiate :premises (@p2) :args ((@list @t174 @t184))) % 28.62/28.87 (step @p393 :rule instantiate :premises (@p2) :args ((@list @t174 @t181))) % 28.62/28.87 (step @p394 :rule cnf_or_pos :args (@t330)) % 28.62/28.87 (step @p395 :rule factoring :premises (@p394)) % 28.62/28.87 (step @p396 :rule reordering :premises (@p395) :args ((or @t325 @t329 @t323 @t327 @t305 (not @t330)))) % 28.62/28.87 (step @p397 :rule chain_m_resolution :premises (@p396 @p393 @p392 @p391 @p359 @p161) :args (@t327 (@list false false false false false) (@list @t324 @t328 @t306 @t189 @t330))) % 28.62/28.87 (assume-push @p408 @t5) % 28.62/28.87 (step @p399 :rule instantiate :premises (@p2) :args ((@list @t174 @t187))) % 28.62/28.87 (step-pop @p409 :rule scope :premises (@p399)) % 28.62/28.87 (step @p400 :rule process_scope :premises (@p409) :args (@t326)) % 28.62/28.87 (step @p402 :rule implies_elim :premises (@p400)) % 28.62/28.87 (step @p403 false :rule chain_m_resolution :premises (@p402 @p397 @p2) :args (false (@list true false) (@list @t326 @t5))) % 28.62/28.87 ) % 28.62/28.87 % SZS output end Proof % 28.62/28.88 % cvc5 exiting %------------------------------------------------------------------------------