%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL942_2 : TPTP v9.3.1. 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 : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:12 AM UTC 2026 % Result : Theorem 15.77s 16.27s % Output : Proof 15.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL942_2 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.35 % Computer : n014.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Sun Sep 6 01:28:27 UTC 2026 % 0.07/0.35 % CPUTime : % 0.12/0.46 %----Proving TF0_NAR, FOF, or CNF % 15.77/16.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.77/16.27 --- Run --no-e-matching --full-saturate-quant at 6... % 15.77/16.27 % SZS status Theorem % 15.77/16.27 % SZS output start Proof % 15.77/16.27 ( % 15.77/16.27 (declare-sort |tptp.'$ki_world'| 0) % 15.77/16.27 (declare-sort $$unsorted 0) % 15.77/16.27 (declare-const tptp.e0 $$unsorted) % 15.77/16.27 (declare-const tptp.e1 $$unsorted) % 15.77/16.27 (declare-const tptp.e2 $$unsorted) % 15.77/16.27 (declare-const tptp.e3 $$unsorted) % 15.77/16.27 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 15.77/16.27 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 15.77/16.27 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 15.77/16.27 (declare-const tptp.qmltpeq (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 15.77/16.27 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 15.77/16.27 (declare-const tptp.unit $$unsorted) % 15.77/16.27 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 15.77/16.27 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 15.77/16.27 (define @t2 () (@list @t1)) % 15.77/16.27 (define @t3 () (@var "X" $$unsorted)) % 15.77/16.27 (define @t4 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t3)) % 15.77/16.27 (define @t5 () (@list @t3)) % 15.77/16.27 (define @t6 () (@var "W0" |tptp.'$ki_world'|)) % 15.77/16.27 (define @t7 () (|tptp.'$ki_accessible'| @t1 @t6)) % 15.77/16.27 (define @t8 () (@list @t6)) % 15.77/16.27 (define @t9 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 15.77/16.27 (define @t10 () (@var "Y" $$unsorted)) % 15.77/16.27 (define @t11 () (@var "W2" |tptp.'$ki_world'|)) % 15.77/16.27 (define @t12 () (@var "W1" |tptp.'$ki_world'|)) % 15.77/16.27 (define @t13 () (|tptp.'$ki_accessible'| @t12 @t11)) % 15.77/16.27 (define @t14 () (@list @t11)) % 15.77/16.27 (define @t15 () (|tptp.'$ki_accessible'| @t6 @t12)) % 15.77/16.27 (define @t16 () (@list @t12)) % 15.77/16.27 (define @t17 () (|tptp.'$ki_exists_in_world_$i'| @t6 @t10)) % 15.77/16.27 (define @t18 () (@list @t10)) % 15.77/16.27 (define @t19 () (@var "Z" $$unsorted)) % 15.77/16.27 (define @t20 () (@var "W3" |tptp.'$ki_world'|)) % 15.77/16.27 (define @t21 () (|tptp.'$ki_accessible'| @t11 @t20)) % 15.77/16.27 (define @t22 () (@list @t20)) % 15.77/16.27 (define @t23 () (@var "B" $$unsorted)) % 15.77/16.27 (define @t24 () (@var "A" $$unsorted)) % 15.77/16.27 (define @t25 () (|tptp.'$ki_exists_in_world_$i'| @t6 @t23)) % 15.77/16.27 (define @t26 () (@list @t23)) % 15.77/16.27 (define @t27 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t24)) % 15.77/16.27 (define @t28 () (@list @t24)) % 15.77/16.27 (define @t29 () (@var "C" $$unsorted)) % 15.77/16.27 (define @t30 () (forall @t22 (=> @t21 (tptp.qmltpeq @t20 @t24 @t23)))) % 15.77/16.27 (define @t31 () (|tptp.'$ki_exists_in_world_$i'| @t12 @t29)) % 15.77/16.27 (define @t32 () (@list @t29)) % 15.77/16.27 (define @t33 () (tptp.op tptp.e3 tptp.e3)) % 15.77/16.27 (define @t34 () (tptp.op tptp.e3 tptp.e2)) % 15.77/16.27 (define @t35 () (tptp.op tptp.e3 tptp.e1)) % 15.77/16.27 (define @t36 () (tptp.op tptp.e3 tptp.e0)) % 15.77/16.27 (define @t37 () (tptp.op tptp.e2 tptp.e3)) % 15.77/16.27 (define @t38 () (tptp.op tptp.e2 tptp.e2)) % 15.77/16.27 (define @t39 () (tptp.op tptp.e2 tptp.e1)) % 15.77/16.27 (define @t40 () (tptp.op tptp.e2 tptp.e0)) % 15.77/16.27 (define @t41 () (tptp.op tptp.e1 tptp.e3)) % 15.77/16.27 (define @t42 () (tptp.op tptp.e1 tptp.e2)) % 15.77/16.27 (define @t43 () (tptp.op tptp.e1 tptp.e1)) % 15.77/16.27 (define @t44 () (tptp.op tptp.e1 tptp.e0)) % 15.77/16.27 (define @t45 () (tptp.op tptp.e0 tptp.e3)) % 15.77/16.27 (define @t46 () (tptp.op tptp.e0 tptp.e2)) % 15.77/16.27 (define @t47 () (tptp.op tptp.e0 tptp.e1)) % 15.77/16.27 (define @t48 () (tptp.op tptp.e0 tptp.e0)) % 15.77/16.27 (define @t49 () (tptp.inv tptp.e3)) % 15.77/16.27 (define @t50 () (tptp.inv tptp.e2)) % 15.77/16.27 (define @t51 () (tptp.inv tptp.e1)) % 15.77/16.27 (define @t52 () (tptp.inv tptp.e0)) % 15.77/16.27 (define @t53 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t49 tptp.e3)))) % 15.77/16.27 (define @t54 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t50 tptp.e3)))) % 15.77/16.27 (define @t55 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t49 tptp.e2)))) % 15.77/16.27 (define @t56 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t51 tptp.e3)))) % 15.77/16.27 (define @t57 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t49 tptp.e1)))) % 15.77/16.27 (define @t58 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t52 tptp.e3)))) % 15.77/16.27 (define @t59 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t49 tptp.e0)))) % 15.77/16.27 (define @t60 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t50 tptp.e2)))) % 15.77/16.27 (define @t61 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t51 tptp.e2)))) % 15.77/16.27 (define @t62 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t50 tptp.e1)))) % 15.77/16.27 (define @t63 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t52 tptp.e2)))) % 15.77/16.27 (define @t64 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t50 tptp.e0)))) % 15.77/16.27 (define @t65 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t51 tptp.e1)))) % 15.77/16.27 (define @t66 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t52 tptp.e1)))) % 15.77/16.27 (define @t67 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t51 tptp.e0)))) % 15.77/16.27 (define @t68 () (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t52 tptp.e0)))) % 15.77/16.27 (define @t69 () (tptp.qmltpeq @t12 @t33 tptp.e3)) % 15.77/16.27 (define @t70 () (forall @t16 (=> @t15 @t69))) % 15.77/16.27 (define @t71 () (tptp.qmltpeq @t12 @t38 tptp.e3)) % 15.77/16.27 (define @t72 () (forall @t16 (=> @t15 @t71))) % 15.77/16.27 (define @t73 () (tptp.qmltpeq @t12 @t43 tptp.e3)) % 15.77/16.27 (define @t74 () (forall @t16 (=> @t15 @t73))) % 15.77/16.27 (define @t75 () (tptp.qmltpeq @t12 @t48 tptp.e3)) % 15.77/16.27 (define @t76 () (forall @t16 (=> @t15 @t75))) % 15.77/16.27 (define @t77 () (and @t76 @t74 @t72 @t70)) % 15.77/16.27 (define @t78 () (tptp.qmltpeq @t12 @t33 tptp.e2)) % 15.77/16.27 (define @t79 () (forall @t16 (=> @t15 @t78))) % 15.77/16.27 (define @t80 () (tptp.qmltpeq @t12 @t38 tptp.e2)) % 15.77/16.27 (define @t81 () (forall @t16 (=> @t15 @t80))) % 15.77/16.27 (define @t82 () (tptp.qmltpeq @t12 @t43 tptp.e2)) % 15.77/16.27 (define @t83 () (forall @t16 (=> @t15 @t82))) % 15.77/16.27 (define @t84 () (tptp.qmltpeq @t12 @t48 tptp.e2)) % 15.77/16.27 (define @t85 () (forall @t16 (=> @t15 @t84))) % 15.77/16.27 (define @t86 () (and @t85 @t83 @t81 @t79)) % 15.77/16.27 (define @t87 () (tptp.qmltpeq @t12 @t33 tptp.e1)) % 15.77/16.27 (define @t88 () (forall @t16 (=> @t15 @t87))) % 15.77/16.27 (define @t89 () (tptp.qmltpeq @t12 @t38 tptp.e1)) % 15.77/16.27 (define @t90 () (forall @t16 (=> @t15 @t89))) % 15.77/16.27 (define @t91 () (tptp.qmltpeq @t12 @t43 tptp.e1)) % 15.77/16.27 (define @t92 () (forall @t16 (=> @t15 @t91))) % 15.77/16.27 (define @t93 () (tptp.qmltpeq @t12 @t48 tptp.e1)) % 15.77/16.27 (define @t94 () (forall @t16 (=> @t15 @t93))) % 15.77/16.27 (define @t95 () (and @t94 @t92 @t90 @t88)) % 15.77/16.27 (define @t96 () (tptp.qmltpeq @t12 @t33 tptp.e0)) % 15.77/16.27 (define @t97 () (forall @t16 (=> @t15 @t96))) % 15.77/16.27 (define @t98 () (tptp.qmltpeq @t12 @t38 tptp.e0)) % 15.77/16.27 (define @t99 () (forall @t16 (=> @t15 @t98))) % 15.77/16.27 (define @t100 () (tptp.qmltpeq @t12 @t43 tptp.e0)) % 15.77/16.27 (define @t101 () (forall @t16 (=> @t15 @t100))) % 15.77/16.27 (define @t102 () (tptp.qmltpeq @t12 @t48 tptp.e0)) % 15.77/16.27 (define @t103 () (forall @t16 (=> @t15 @t102))) % 15.77/16.27 (define @t104 () (and @t103 @t101 @t99 @t97)) % 15.77/16.27 (define @t105 () (or @t104 @t95 @t86 @t77)) % 15.77/16.27 (define @t106 () (not @t105)) % 15.77/16.27 (define @t107 () (=> @t7 @t106)) % 15.77/16.27 (define @t108 () (forall @t8 @t107)) % 15.77/16.27 (define @t109 () (tptp.qmltpeq @t6 @t33 tptp.e3)) % 15.77/16.27 (define @t110 () (forall @t8 (=> @t7 @t109))) % 15.77/16.27 (define @t111 () (tptp.qmltpeq @t6 @t38 tptp.e3)) % 15.77/16.27 (define @t112 () (forall @t8 (=> @t7 @t111))) % 15.77/16.27 (define @t113 () (tptp.qmltpeq @t6 @t43 tptp.e3)) % 15.77/16.27 (define @t114 () (forall @t8 (=> @t7 @t113))) % 15.77/16.27 (define @t115 () (tptp.qmltpeq @t6 @t48 tptp.e3)) % 15.77/16.27 (define @t116 () (forall @t8 (=> @t7 @t115))) % 15.77/16.27 (define @t117 () (and @t116 @t114 @t112 @t110)) % 15.77/16.27 (define @t118 () (tptp.qmltpeq @t6 @t33 tptp.e2)) % 15.77/16.27 (define @t119 () (forall @t8 (=> @t7 @t118))) % 15.77/16.27 (define @t120 () (tptp.qmltpeq @t6 @t38 tptp.e2)) % 15.77/16.27 (define @t121 () (forall @t8 (=> @t7 @t120))) % 15.77/16.27 (define @t122 () (tptp.qmltpeq @t6 @t43 tptp.e2)) % 15.77/16.27 (define @t123 () (forall @t8 (=> @t7 @t122))) % 15.77/16.27 (define @t124 () (tptp.qmltpeq @t6 @t48 tptp.e2)) % 15.77/16.27 (define @t125 () (forall @t8 (=> @t7 @t124))) % 15.77/16.27 (define @t126 () (and @t125 @t123 @t121 @t119)) % 15.77/16.27 (define @t127 () (tptp.qmltpeq @t6 @t33 tptp.e1)) % 15.77/16.27 (define @t128 () (forall @t8 (=> @t7 @t127))) % 15.77/16.27 (define @t129 () (tptp.qmltpeq @t6 @t38 tptp.e1)) % 15.77/16.27 (define @t130 () (forall @t8 (=> @t7 @t129))) % 15.77/16.27 (define @t131 () (tptp.qmltpeq @t6 @t43 tptp.e1)) % 15.77/16.27 (define @t132 () (forall @t8 (=> @t7 @t131))) % 15.77/16.27 (define @t133 () (tptp.qmltpeq @t6 @t48 tptp.e1)) % 15.77/16.27 (define @t134 () (forall @t8 (=> @t7 @t133))) % 15.77/16.27 (define @t135 () (and @t134 @t132 @t130 @t128)) % 15.77/16.27 (define @t136 () (tptp.qmltpeq @t6 @t33 tptp.e0)) % 15.77/16.27 (define @t137 () (forall @t8 (=> @t7 @t136))) % 15.77/16.27 (define @t138 () (tptp.qmltpeq @t6 @t38 tptp.e0)) % 15.77/16.27 (define @t139 () (forall @t8 (=> @t7 @t138))) % 15.77/16.27 (define @t140 () (tptp.qmltpeq @t6 @t43 tptp.e0)) % 15.77/16.27 (define @t141 () (forall @t8 (=> @t7 @t140))) % 15.77/16.27 (define @t142 () (tptp.qmltpeq @t6 @t48 tptp.e0)) % 15.77/16.27 (define @t143 () (forall @t8 (=> @t7 @t142))) % 15.77/16.27 (define @t144 () (and @t143 @t141 @t139 @t137)) % 15.77/16.27 (define @t145 () (or @t144 @t135 @t126 @t117)) % 15.77/16.27 (define @t146 () (and @t145 @t108)) % 15.77/16.27 (define @t147 () (not @t146)) % 15.77/16.27 (define @t148 () (=> @t9 @t147)) % 15.77/16.27 (define @t149 () (forall @t2 @t148)) % 15.77/16.27 (define @t150 () (not @t149)) % 15.77/16.27 (define @t151 () (not @t15)) % 15.77/16.27 (define @t152 () (forall @t16 (or @t151 @t69))) % 15.77/16.27 (define @t153 () (not @t152)) % 15.77/16.27 (define @t154 () (forall @t16 (or @t151 @t71))) % 15.77/16.27 (define @t155 () (not @t154)) % 15.77/16.27 (define @t156 () (forall @t16 (or @t151 @t73))) % 15.77/16.27 (define @t157 () (not @t156)) % 15.77/16.27 (define @t158 () (forall @t16 (or @t151 @t75))) % 15.77/16.27 (define @t159 () (not @t158)) % 15.77/16.27 (define @t160 () (or @t159 @t157 @t155 @t153)) % 15.77/16.27 (define @t161 () (forall @t16 (or @t151 @t78))) % 15.77/16.27 (define @t162 () (not @t161)) % 15.77/16.27 (define @t163 () (forall @t16 (or @t151 @t80))) % 15.77/16.27 (define @t164 () (not @t163)) % 15.77/16.27 (define @t165 () (forall @t16 (or @t151 @t82))) % 15.77/16.27 (define @t166 () (not @t165)) % 15.77/16.27 (define @t167 () (forall @t16 (or @t151 @t84))) % 15.77/16.27 (define @t168 () (not @t167)) % 15.77/16.27 (define @t169 () (or @t168 @t166 @t164 @t162)) % 15.77/16.27 (define @t170 () (forall @t16 (or @t151 @t87))) % 15.77/16.27 (define @t171 () (not @t170)) % 15.77/16.27 (define @t172 () (forall @t16 (or @t151 @t89))) % 15.77/16.27 (define @t173 () (not @t172)) % 15.77/16.27 (define @t174 () (forall @t16 (or @t151 @t91))) % 15.77/16.27 (define @t175 () (not @t174)) % 15.77/16.27 (define @t176 () (forall @t16 (or @t151 @t93))) % 15.77/16.27 (define @t177 () (not @t176)) % 15.77/16.27 (define @t178 () (or @t177 @t175 @t173 @t171)) % 15.77/16.27 (define @t179 () (forall @t16 (or @t151 @t96))) % 15.77/16.27 (define @t180 () (not @t179)) % 15.77/16.27 (define @t181 () (forall @t16 (or @t151 @t98))) % 15.77/16.27 (define @t182 () (not @t181)) % 15.77/16.27 (define @t183 () (forall @t16 (or @t151 @t100))) % 15.77/16.27 (define @t184 () (not @t183)) % 15.77/16.27 (define @t185 () (forall @t16 (or @t151 @t102))) % 15.77/16.27 (define @t186 () (not @t185)) % 15.77/16.27 (define @t187 () (or @t186 @t184 @t182 @t180)) % 15.77/16.27 (define @t188 () (and @t187 @t178 @t169 @t160)) % 15.77/16.27 (define @t189 () (not @t7)) % 15.77/16.27 (define @t190 () (forall @t8 (or @t189 @t188))) % 15.77/16.27 (define @t191 () (not @t190)) % 15.77/16.27 (define @t192 () (forall @t8 (or @t189 @t109))) % 15.77/16.27 (define @t193 () (not @t192)) % 15.77/16.27 (define @t194 () (forall @t8 (or @t189 @t111))) % 15.77/16.27 (define @t195 () (not @t194)) % 15.77/16.27 (define @t196 () (forall @t8 (or @t189 @t113))) % 15.77/16.27 (define @t197 () (not @t196)) % 15.77/16.27 (define @t198 () (forall @t8 (or @t189 @t115))) % 15.77/16.27 (define @t199 () (not @t198)) % 15.77/16.27 (define @t200 () (or @t199 @t197 @t195 @t193)) % 15.77/16.27 (define @t201 () (forall @t8 (or @t189 @t118))) % 15.77/16.27 (define @t202 () (not @t201)) % 15.77/16.27 (define @t203 () (forall @t8 (or @t189 @t120))) % 15.77/16.27 (define @t204 () (not @t203)) % 15.77/16.27 (define @t205 () (forall @t8 (or @t189 @t122))) % 15.77/16.27 (define @t206 () (not @t205)) % 15.77/16.27 (define @t207 () (forall @t8 (or @t189 @t124))) % 15.77/16.27 (define @t208 () (not @t207)) % 15.77/16.27 (define @t209 () (or @t208 @t206 @t204 @t202)) % 15.77/16.27 (define @t210 () (forall @t8 (or @t189 @t127))) % 15.77/16.27 (define @t211 () (not @t210)) % 15.77/16.27 (define @t212 () (forall @t8 (or @t189 @t129))) % 15.77/16.27 (define @t213 () (not @t212)) % 15.77/16.27 (define @t214 () (forall @t8 (or @t189 @t131))) % 15.77/16.27 (define @t215 () (not @t214)) % 15.77/16.27 (define @t216 () (forall @t8 (or @t189 @t133))) % 15.77/16.27 (define @t217 () (not @t216)) % 15.77/16.27 (define @t218 () (or @t217 @t215 @t213 @t211)) % 15.77/16.27 (define @t219 () (forall @t8 (or @t189 @t136))) % 15.77/16.27 (define @t220 () (not @t219)) % 15.77/16.27 (define @t221 () (forall @t8 (or @t189 @t138))) % 15.77/16.27 (define @t222 () (not @t221)) % 15.77/16.27 (define @t223 () (forall @t8 (or @t189 @t140))) % 15.77/16.27 (define @t224 () (not @t223)) % 15.77/16.27 (define @t225 () (forall @t8 (or @t189 @t142))) % 15.77/16.27 (define @t226 () (not @t225)) % 15.77/16.27 (define @t227 () (or @t226 @t224 @t222 @t220)) % 15.77/16.27 (define @t228 () (and @t227 @t218 @t209 @t200)) % 15.77/16.27 (define @t229 () (not @t9)) % 15.77/16.27 (define @t230 () (or @t229 @t228 @t191)) % 15.77/16.27 (define @t231 () (and @t198 @t196 @t194 @t192)) % 15.77/16.27 (define @t232 () (not @t231)) % 15.77/16.27 (define @t233 () (and @t207 @t205 @t203 @t201)) % 15.77/16.27 (define @t234 () (not @t233)) % 15.77/16.27 (define @t235 () (and @t216 @t214 @t212 @t210)) % 15.77/16.27 (define @t236 () (not @t235)) % 15.77/16.27 (define @t237 () (and @t225 @t223 @t221 @t219)) % 15.77/16.27 (define @t238 () (not @t237)) % 15.77/16.27 (define @t239 () (and @t238 @t236 @t234 @t232)) % 15.77/16.27 (define @t240 () (or @t237 @t235 @t233 @t231)) % 15.77/16.27 (define @t241 () (not (and @t240 @t190))) % 15.77/16.27 (define @t242 () (and @t158 @t156 @t154 @t152)) % 15.77/16.27 (define @t243 () (not @t242)) % 15.77/16.27 (define @t244 () (and @t167 @t165 @t163 @t161)) % 15.77/16.27 (define @t245 () (not @t244)) % 15.77/16.27 (define @t246 () (and @t176 @t174 @t172 @t170)) % 15.77/16.27 (define @t247 () (not @t246)) % 15.77/16.27 (define @t248 () (and @t185 @t183 @t181 @t179)) % 15.77/16.27 (define @t249 () (not @t248)) % 15.77/16.27 (define @t250 () (and @t249 @t247 @t245 @t243)) % 15.77/16.27 (define @t251 () (not (or @t248 @t246 @t244 @t242))) % 15.77/16.27 (define @t252 () (@quantifiers_skolemize (forall @t2 @t230) 0)) % 15.77/16.27 (define @t253 () (not (|tptp.'$ki_accessible'| @t252 @t6))) % 15.77/16.27 (define @t254 () (forall @t8 (or @t253 @t188))) % 15.77/16.27 (define @t255 () (not @t254)) % 15.77/16.27 (define @t256 () (forall @t8 (or @t253 @t109))) % 15.77/16.27 (define @t257 () (not @t256)) % 15.77/16.27 (define @t258 () (forall @t8 (or @t253 @t111))) % 15.77/16.27 (define @t259 () (not @t258)) % 15.77/16.27 (define @t260 () (forall @t8 (or @t253 @t113))) % 15.77/16.27 (define @t261 () (not @t260)) % 15.77/16.27 (define @t262 () (forall @t8 (or @t253 @t115))) % 15.77/16.27 (define @t263 () (not @t262)) % 15.77/16.27 (define @t264 () (or @t263 @t261 @t259 @t257)) % 15.77/16.27 (define @t265 () (forall @t8 (or @t253 @t118))) % 15.77/16.27 (define @t266 () (not @t265)) % 15.77/16.27 (define @t267 () (forall @t8 (or @t253 @t120))) % 15.77/16.27 (define @t268 () (not @t267)) % 15.77/16.27 (define @t269 () (forall @t8 (or @t253 @t122))) % 15.77/16.27 (define @t270 () (not @t269)) % 15.77/16.27 (define @t271 () (forall @t8 (or @t253 @t124))) % 15.77/16.27 (define @t272 () (not @t271)) % 15.77/16.27 (define @t273 () (or @t272 @t270 @t268 @t266)) % 15.77/16.27 (define @t274 () (forall @t8 (or @t253 @t127))) % 15.77/16.27 (define @t275 () (not @t274)) % 15.77/16.27 (define @t276 () (forall @t8 (or @t253 @t129))) % 15.77/16.27 (define @t277 () (not @t276)) % 15.77/16.27 (define @t278 () (forall @t8 (or @t253 @t131))) % 15.77/16.27 (define @t279 () (not @t278)) % 15.77/16.27 (define @t280 () (forall @t8 (or @t253 @t133))) % 15.77/16.27 (define @t281 () (not @t280)) % 15.77/16.27 (define @t282 () (or @t281 @t279 @t277 @t275)) % 15.77/16.27 (define @t283 () (forall @t8 (or @t253 @t136))) % 15.77/16.27 (define @t284 () (not @t283)) % 15.77/16.27 (define @t285 () (forall @t8 (or @t253 @t138))) % 15.77/16.27 (define @t286 () (not @t285)) % 15.77/16.27 (define @t287 () (forall @t8 (or @t253 @t140))) % 15.77/16.27 (define @t288 () (not @t287)) % 15.77/16.27 (define @t289 () (forall @t8 (or @t253 @t142))) % 15.77/16.27 (define @t290 () (not @t289)) % 15.77/16.27 (define @t291 () (or @t290 @t288 @t286 @t284)) % 15.77/16.27 (define @t292 () (and @t291 @t282 @t273 @t264)) % 15.77/16.27 (define @t293 () (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t252)) @t292 @t255)) % 15.77/16.27 (define @t294 () (@list true)) % 15.77/16.27 (define @t295 () (@list @t293)) % 15.77/16.27 (define @t296 () (@list @t252)) % 15.77/16.27 (define @t297 () (not (|tptp.'$ki_accessible'| @t252 @t12))) % 15.77/16.27 (define @t298 () (forall @t16 (or @t297 @t69))) % 15.77/16.27 (define @t299 () (not @t298)) % 15.77/16.27 (define @t300 () (forall @t16 (or @t297 @t71))) % 15.77/16.27 (define @t301 () (not @t300)) % 15.77/16.27 (define @t302 () (forall @t16 (or @t297 @t73))) % 15.77/16.27 (define @t303 () (not @t302)) % 15.77/16.27 (define @t304 () (forall @t16 (or @t297 @t75))) % 15.77/16.27 (define @t305 () (not @t304)) % 15.77/16.27 (define @t306 () (or @t305 @t303 @t301 @t299)) % 15.77/16.27 (define @t307 () (forall @t16 (or @t297 @t78))) % 15.77/16.27 (define @t308 () (not @t307)) % 15.77/16.27 (define @t309 () (forall @t16 (or @t297 @t80))) % 15.77/16.27 (define @t310 () (not @t309)) % 15.77/16.27 (define @t311 () (forall @t16 (or @t297 @t82))) % 15.77/16.27 (define @t312 () (not @t311)) % 15.77/16.27 (define @t313 () (forall @t16 (or @t297 @t84))) % 15.77/16.27 (define @t314 () (not @t313)) % 15.77/16.27 (define @t315 () (or @t314 @t312 @t310 @t308)) % 15.77/16.27 (define @t316 () (forall @t16 (or @t297 @t87))) % 15.77/16.27 (define @t317 () (not @t316)) % 15.77/16.27 (define @t318 () (forall @t16 (or @t297 @t89))) % 15.77/16.27 (define @t319 () (not @t318)) % 15.77/16.27 (define @t320 () (forall @t16 (or @t297 @t91))) % 15.77/16.27 (define @t321 () (not @t320)) % 15.77/16.27 (define @t322 () (forall @t16 (or @t297 @t93))) % 15.77/16.27 (define @t323 () (not @t322)) % 15.77/16.27 (define @t324 () (or @t323 @t321 @t319 @t317)) % 15.77/16.27 (define @t325 () (forall @t16 (or @t297 @t96))) % 15.77/16.27 (define @t326 () (not @t325)) % 15.77/16.27 (define @t327 () (forall @t16 (or @t297 @t98))) % 15.77/16.27 (define @t328 () (not @t327)) % 15.77/16.27 (define @t329 () (forall @t16 (or @t297 @t100))) % 15.77/16.27 (define @t330 () (not @t329)) % 15.77/16.27 (define @t331 () (forall @t16 (or @t297 @t102))) % 15.77/16.27 (define @t332 () (not @t331)) % 15.77/16.27 (define @t333 () (or @t332 @t330 @t328 @t326)) % 15.77/16.27 (define @t334 () (and @t333 @t324 @t315 @t306)) % 15.77/16.27 (define @t335 () (|tptp.'$ki_accessible'| @t252 @t252)) % 15.77/16.27 (define @t336 () (not @t335)) % 15.77/16.27 (define @t337 () (or @t336 @t334)) % 15.77/16.27 (define @t338 () (not @t334)) % 15.77/16.27 (define @t339 () (@list false)) % 15.77/16.27 (define @t340 () (@list @t334)) % 15.77/16.27 (define @t341 () (@list @t6)) % 15.77/16.27 (define @t342 () (@list @t12)) % 15.77/16.27 (define @t343 () (@list false false false false false false false false false)) % 15.77/16.27 (define @t344 () (@list @t291)) % 15.77/16.27 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 15.77/16.27 (assume @p2 (forall (@list @t1 @t3) @t4)) % 15.77/16.27 (assume @p3 (forall @t2 (exists @t5 @t4))) % 15.77/16.27 (assume @p4 (forall @t2 (=> @t9 (forall @t5 (=> @t4 (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t3 @t3)))))))) % 15.77/16.27 (assume @p5 (forall @t2 (=> @t9 (forall @t5 (=> @t4 (forall @t8 (=> @t7 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (=> (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t3 @t10))) (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t10 @t3))))))))))))))) % 15.77/16.27 (assume @p6 (forall @t2 (=> @t9 (forall @t5 (=> @t4 (forall @t8 (=> @t7 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (forall (@list @t19) (=> (|tptp.'$ki_exists_in_world_$i'| @t12 @t19) (forall @t14 (=> @t13 (=> (and (forall @t22 (=> @t21 (tptp.qmltpeq @t20 @t3 @t10))) (forall @t22 (=> @t21 (tptp.qmltpeq @t20 @t10 @t19)))) (forall @t22 (=> @t21 (tptp.qmltpeq @t20 @t3 @t19))))))))))))))))))) % 15.77/16.27 (assume @p7 (forall @t2 (=> @t9 (forall @t28 (=> @t27 (forall @t8 (=> @t7 (forall @t26 (=> @t25 (forall @t16 (=> @t15 (=> (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t24 @t23))) (forall @t14 (=> @t13 (tptp.qmltpeq @t11 (tptp.inv @t24) (tptp.inv @t23)))))))))))))))) % 15.77/16.27 (assume @p8 (forall @t2 (=> @t9 (forall @t28 (=> @t27 (forall @t8 (=> @t7 (forall @t26 (=> @t25 (forall @t16 (=> @t15 (forall @t32 (=> @t31 (forall @t14 (=> @t13 (=> @t30 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.op @t24 @t29) (tptp.op @t23 @t29)))))))))))))))))))) % 15.77/16.27 (assume @p9 (forall @t2 (=> @t9 (forall @t28 (=> @t27 (forall @t8 (=> @t7 (forall @t26 (=> @t25 (forall @t16 (=> @t15 (forall @t32 (=> @t31 (forall @t14 (=> @t13 (=> @t30 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.op @t29 @t24) (tptp.op @t29 @t23)))))))))))))))))))) % 15.77/16.27 (assume @p10 (and (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t48 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t48 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t48 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t48 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t47 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t47 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t47 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t47 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t46 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t46 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t46 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t46 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t45 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t45 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t45 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t45 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t44 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t44 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t44 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t44 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t43 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t43 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t43 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t43 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t42 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t42 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t42 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t42 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t41 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t41 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t41 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t41 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t40 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t40 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t40 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t40 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t39 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t39 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t39 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t39 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t38 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t38 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t38 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t38 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t37 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t37 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t37 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t37 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t36 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t36 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t36 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t36 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t35 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t35 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t35 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t35 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t34 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t34 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t34 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t34 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t33 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t33 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t33 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t33 tptp.e3)))))) % 15.77/16.27 (assume @p11 (and (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t48 tptp.e0) (tptp.op tptp.e0 @t48)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t48 tptp.e1) (tptp.op tptp.e0 @t47)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t48 tptp.e2) (tptp.op tptp.e0 @t46)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t48 tptp.e3) (tptp.op tptp.e0 @t45)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t47 tptp.e0) (tptp.op tptp.e0 @t44)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t47 tptp.e1) (tptp.op tptp.e0 @t43)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t47 tptp.e2) (tptp.op tptp.e0 @t42)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t47 tptp.e3) (tptp.op tptp.e0 @t41)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t46 tptp.e0) (tptp.op tptp.e0 @t40)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t46 tptp.e1) (tptp.op tptp.e0 @t39)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t46 tptp.e2) (tptp.op tptp.e0 @t38)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t46 tptp.e3) (tptp.op tptp.e0 @t37)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t45 tptp.e0) (tptp.op tptp.e0 @t36)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t45 tptp.e1) (tptp.op tptp.e0 @t35)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t45 tptp.e2) (tptp.op tptp.e0 @t34)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t45 tptp.e3) (tptp.op tptp.e0 @t33)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t44 tptp.e0) (tptp.op tptp.e1 @t48)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t44 tptp.e1) (tptp.op tptp.e1 @t47)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t44 tptp.e2) (tptp.op tptp.e1 @t46)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t44 tptp.e3) (tptp.op tptp.e1 @t45)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t43 tptp.e0) (tptp.op tptp.e1 @t44)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t43 tptp.e1) (tptp.op tptp.e1 @t43)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t43 tptp.e2) (tptp.op tptp.e1 @t42)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t43 tptp.e3) (tptp.op tptp.e1 @t41)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t42 tptp.e0) (tptp.op tptp.e1 @t40)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t42 tptp.e1) (tptp.op tptp.e1 @t39)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t42 tptp.e2) (tptp.op tptp.e1 @t38)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t42 tptp.e3) (tptp.op tptp.e1 @t37)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t41 tptp.e0) (tptp.op tptp.e1 @t36)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t41 tptp.e1) (tptp.op tptp.e1 @t35)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t41 tptp.e2) (tptp.op tptp.e1 @t34)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t41 tptp.e3) (tptp.op tptp.e1 @t33)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t40 tptp.e0) (tptp.op tptp.e2 @t48)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t40 tptp.e1) (tptp.op tptp.e2 @t47)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t40 tptp.e2) (tptp.op tptp.e2 @t46)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t40 tptp.e3) (tptp.op tptp.e2 @t45)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t39 tptp.e0) (tptp.op tptp.e2 @t44)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t39 tptp.e1) (tptp.op tptp.e2 @t43)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t39 tptp.e2) (tptp.op tptp.e2 @t42)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t39 tptp.e3) (tptp.op tptp.e2 @t41)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t38 tptp.e0) (tptp.op tptp.e2 @t40)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t38 tptp.e1) (tptp.op tptp.e2 @t39)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t38 tptp.e2) (tptp.op tptp.e2 @t38)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t38 tptp.e3) (tptp.op tptp.e2 @t37)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t37 tptp.e0) (tptp.op tptp.e2 @t36)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t37 tptp.e1) (tptp.op tptp.e2 @t35)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t37 tptp.e2) (tptp.op tptp.e2 @t34)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t37 tptp.e3) (tptp.op tptp.e2 @t33)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t36 tptp.e0) (tptp.op tptp.e3 @t48)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t36 tptp.e1) (tptp.op tptp.e3 @t47)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t36 tptp.e2) (tptp.op tptp.e3 @t46)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t36 tptp.e3) (tptp.op tptp.e3 @t45)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t35 tptp.e0) (tptp.op tptp.e3 @t44)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t35 tptp.e1) (tptp.op tptp.e3 @t43)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t35 tptp.e2) (tptp.op tptp.e3 @t42)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t35 tptp.e3) (tptp.op tptp.e3 @t41)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t34 tptp.e0) (tptp.op tptp.e3 @t40)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t34 tptp.e1) (tptp.op tptp.e3 @t39)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t34 tptp.e2) (tptp.op tptp.e3 @t38)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t34 tptp.e3) (tptp.op tptp.e3 @t37)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t33 tptp.e0) (tptp.op tptp.e3 @t36)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t33 tptp.e1) (tptp.op tptp.e3 @t35)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t33 tptp.e2) (tptp.op tptp.e3 @t34)))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t33 tptp.e3) (tptp.op tptp.e3 @t33)))))) % 15.77/16.27 (assume @p12 (and (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.unit tptp.e0) tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.e0 tptp.unit) tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.unit tptp.e1) tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.e1 tptp.unit) tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.unit tptp.e2) tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.e2 tptp.unit) tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.unit tptp.e3) tptp.e3))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.e3 tptp.unit) tptp.e3))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 tptp.unit tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 tptp.unit tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 tptp.unit tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 tptp.unit tptp.e3)))))) % 15.77/16.27 (assume @p13 (and (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.e0 @t52) tptp.unit))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t52 tptp.e0) tptp.unit))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.e1 @t51) tptp.unit))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t51 tptp.e1) tptp.unit))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.e2 @t50) tptp.unit))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t50 tptp.e2) tptp.unit))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op tptp.e3 @t49) tptp.unit))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.op @t49 tptp.e3) tptp.unit))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t52 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t52 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t52 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t52 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t51 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t51 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t51 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t51 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t50 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t50 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t50 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t50 tptp.e3)))) (or (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t49 tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t49 tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t49 tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 @t49 tptp.e3)))))) % 15.77/16.27 (assume @p14 (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.inv tptp.unit) tptp.unit)))) % 15.77/16.27 (assume @p15 (and (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.inv @t52) tptp.e0))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.inv @t51) tptp.e1))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.inv @t50) tptp.e2))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 (tptp.inv @t49) tptp.e3))))) % 15.77/16.27 (assume @p16 (and (forall @t2 (=> @t9 (=> @t68 @t68))) (forall @t2 (=> @t9 (=> @t66 @t67))) (forall @t2 (=> @t9 (=> @t63 @t64))) (forall @t2 (=> @t9 (=> @t58 @t59))) (forall @t2 (=> @t9 (=> @t67 @t66))) (forall @t2 (=> @t9 (=> @t65 @t65))) (forall @t2 (=> @t9 (=> @t61 @t62))) (forall @t2 (=> @t9 (=> @t56 @t57))) (forall @t2 (=> @t9 (=> @t64 @t63))) (forall @t2 (=> @t9 (=> @t62 @t61))) (forall @t2 (=> @t9 (=> @t60 @t60))) (forall @t2 (=> @t9 (=> @t54 @t55))) (forall @t2 (=> @t9 (=> @t59 @t58))) (forall @t2 (=> @t9 (=> @t57 @t56))) (forall @t2 (=> @t9 (=> @t55 @t54))) (forall @t2 (=> @t9 (=> @t53 @t53))))) % 15.77/16.27 (assume @p17 (and (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t52 @t51)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t52 @t50)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t52 @t49)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t51 @t50)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t51 @t49)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t50 @t49)))))))) % 15.77/16.27 (assume @p18 (and (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t48 @t44)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t48 @t40)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t48 @t36)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t44 @t40)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t44 @t36)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t40 @t36)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t47 @t43)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t47 @t39)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t47 @t35)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t43 @t39)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t43 @t35)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t39 @t35)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t46 @t42)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t46 @t38)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t46 @t34)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t42 @t38)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t42 @t34)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t38 @t34)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t45 @t41)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t45 @t37)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t45 @t33)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t41 @t37)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t41 @t33)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t37 @t33)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t48 @t47)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t48 @t46)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t48 @t45)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t47 @t46)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t47 @t45)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t46 @t45)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t44 @t43)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t44 @t42)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t44 @t41)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t43 @t42)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t43 @t41)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t42 @t41)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t40 @t39)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t40 @t38)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t40 @t37)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t39 @t38)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t39 @t37)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t38 @t37)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t36 @t35)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t36 @t34)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t36 @t33)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t35 @t34)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t35 @t33)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t34 @t33)))))))) % 15.77/16.27 (assume @p19 (and (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 tptp.e0 tptp.e1)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 tptp.e0 tptp.e2)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 tptp.e0 tptp.e3)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 tptp.e1 tptp.e2)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 tptp.e1 tptp.e3)))))) (forall @t2 (=> @t9 (not (forall @t8 (=> @t7 (tptp.qmltpeq @t6 tptp.e2 tptp.e3)))))))) % 15.77/16.27 (assume @p20 (and (forall @t2 (=> @t9 (tptp.qmltpeq @t1 tptp.e0 @t33))) (forall @t2 (=> @t9 (tptp.qmltpeq @t1 tptp.e1 @t37))))) % 15.77/16.27 (assume @p21 @t150) % 15.77/16.27 (assume @p22 true) % 15.77/16.27 (step @p23 :rule aci_norm :args ((= (or @t229 (or @t228 @t191)) @t230))) % 15.77/16.27 (step @p24 :rule refl :args (@t191)) % 15.77/16.27 (step @p25 :rule aci_norm :args ((= (or @t199 (or @t197 (or @t195 @t193))) @t200))) % 15.77/16.27 (step @p26 :rule bool-and-de-morgan :args (@t194 @t192 true)) % 15.77/16.27 (step @p27 :rule refl :args (@t197)) % 15.77/16.27 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t197 (not (and @t194 @t192))))) % 15.77/16.27 (step @p29 :rule bool-and-de-morgan :args (@t196 @t194 (and @t192))) % 15.77/16.27 (step @p30 :rule trans :premises (@p29 @p28)) % 15.77/16.27 (step @p31 :rule refl :args (@t199)) % 15.77/16.27 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t199 (not (and @t196 @t194 @t192))))) % 15.77/16.27 (step @p33 :rule bool-and-de-morgan :args (@t198 @t196 (and @t194 @t192))) % 15.77/16.27 (step @p34 :rule trans :premises (@p33 @p32)) % 15.77/16.27 (step @p35 :rule trans :premises (@p34 @p25)) % 15.77/16.27 (step @p36 :rule aci_norm :args ((= (or @t208 (or @t206 (or @t204 @t202))) @t209))) % 15.77/16.27 (step @p37 :rule bool-and-de-morgan :args (@t203 @t201 true)) % 15.77/16.27 (step @p38 :rule refl :args (@t206)) % 15.77/16.27 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t206 (not (and @t203 @t201))))) % 15.77/16.27 (step @p40 :rule bool-and-de-morgan :args (@t205 @t203 (and @t201))) % 15.77/16.27 (step @p41 :rule trans :premises (@p40 @p39)) % 15.77/16.27 (step @p42 :rule refl :args (@t208)) % 15.77/16.27 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t208 (not (and @t205 @t203 @t201))))) % 15.77/16.27 (step @p44 :rule bool-and-de-morgan :args (@t207 @t205 (and @t203 @t201))) % 15.77/16.27 (step @p45 :rule trans :premises (@p44 @p43)) % 15.77/16.27 (step @p46 :rule trans :premises (@p45 @p36)) % 15.77/16.27 (step @p47 :rule aci_norm :args ((= (or @t217 (or @t215 (or @t213 @t211))) @t218))) % 15.77/16.27 (step @p48 :rule bool-and-de-morgan :args (@t212 @t210 true)) % 15.77/16.27 (step @p49 :rule refl :args (@t215)) % 15.77/16.27 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t215 (not (and @t212 @t210))))) % 15.77/16.27 (step @p51 :rule bool-and-de-morgan :args (@t214 @t212 (and @t210))) % 15.77/16.27 (step @p52 :rule trans :premises (@p51 @p50)) % 15.77/16.27 (step @p53 :rule refl :args (@t217)) % 15.77/16.27 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t217 (not (and @t214 @t212 @t210))))) % 15.77/16.27 (step @p55 :rule bool-and-de-morgan :args (@t216 @t214 (and @t212 @t210))) % 15.77/16.27 (step @p56 :rule trans :premises (@p55 @p54)) % 15.77/16.27 (step @p57 :rule trans :premises (@p56 @p47)) % 15.77/16.27 (step @p58 :rule aci_norm :args ((= (or @t226 (or @t224 (or @t222 @t220))) @t227))) % 15.77/16.27 (step @p59 :rule bool-and-de-morgan :args (@t221 @t219 true)) % 15.77/16.27 (step @p60 :rule refl :args (@t224)) % 15.77/16.27 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t224 (not (and @t221 @t219))))) % 15.77/16.27 (step @p62 :rule bool-and-de-morgan :args (@t223 @t221 (and @t219))) % 15.77/16.27 (step @p63 :rule trans :premises (@p62 @p61)) % 15.77/16.27 (step @p64 :rule refl :args (@t226)) % 15.77/16.27 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t226 (not (and @t223 @t221 @t219))))) % 15.77/16.27 (step @p66 :rule bool-and-de-morgan :args (@t225 @t223 (and @t221 @t219))) % 15.77/16.27 (step @p67 :rule trans :premises (@p66 @p65)) % 15.77/16.27 (step @p68 :rule trans :premises (@p67 @p58)) % 15.77/16.27 (step @p69 :rule nary_cong :premises (@p68 @p57 @p46 @p35) :args (@t239)) % 15.77/16.27 (step @p70 :rule aci_norm :args ((= (and @t238 (and @t236 (and @t234 @t232))) @t239))) % 15.77/16.27 (step @p71 :rule bool-or-de-morgan :args (@t233 @t231 false)) % 15.77/16.27 (step @p72 :rule refl :args (@t236)) % 15.77/16.27 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((and @t236 (not (or @t233 @t231))))) % 15.77/16.27 (step @p74 :rule bool-or-de-morgan :args (@t235 @t233 (or @t231))) % 15.77/16.27 (step @p75 :rule trans :premises (@p74 @p73)) % 15.77/16.27 (step @p76 :rule refl :args (@t238)) % 15.77/16.27 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((and @t238 (not (or @t235 @t233 @t231))))) % 15.77/16.27 (step @p78 :rule bool-or-de-morgan :args (@t237 @t235 (or @t233 @t231))) % 15.77/16.27 (step @p79 :rule trans :premises (@p78 @p77)) % 15.77/16.27 (step @p80 :rule trans :premises (@p79 @p70)) % 15.77/16.27 (step @p81 :rule trans :premises (@p80 @p69)) % 15.77/16.27 (step @p82 :rule nary_cong :premises (@p81 @p24) :args ((or (not @t240) @t191))) % 15.77/16.27 (step @p83 :rule bool-and-de-morgan :args (@t240 @t190 true)) % 15.77/16.27 (step @p84 :rule trans :premises (@p83 @p82)) % 15.77/16.27 (step @p85 :rule refl :args (@t229)) % 15.77/16.27 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t229 @t241))) % 15.77/16.27 (step @p87 :rule trans :premises (@p86 @p23)) % 15.77/16.27 (step @p88 :rule bool-impl-elim :args (@t9 @t241)) % 15.77/16.27 (step @p89 :rule trans :premises (@p88 @p87)) % 15.77/16.27 (step @p90 :rule cong :premises (@p89) :args ((forall @t2 (=> @t9 @t241)))) % 15.77/16.27 (step @p91 :rule aci_norm :args ((= (or @t159 (or @t157 (or @t155 @t153))) @t160))) % 15.77/16.27 (step @p92 :rule bool-and-de-morgan :args (@t154 @t152 true)) % 15.77/16.27 (step @p93 :rule refl :args (@t157)) % 15.77/16.27 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t157 (not (and @t154 @t152))))) % 15.77/16.27 (step @p95 :rule bool-and-de-morgan :args (@t156 @t154 (and @t152))) % 15.77/16.27 (step @p96 :rule trans :premises (@p95 @p94)) % 15.77/16.27 (step @p97 :rule refl :args (@t159)) % 15.77/16.27 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t159 (not (and @t156 @t154 @t152))))) % 15.77/16.27 (step @p99 :rule bool-and-de-morgan :args (@t158 @t156 (and @t154 @t152))) % 15.77/16.27 (step @p100 :rule trans :premises (@p99 @p98)) % 15.77/16.27 (step @p101 :rule trans :premises (@p100 @p91)) % 15.77/16.27 (step @p102 :rule aci_norm :args ((= (or @t168 (or @t166 (or @t164 @t162))) @t169))) % 15.77/16.27 (step @p103 :rule bool-and-de-morgan :args (@t163 @t161 true)) % 15.77/16.27 (step @p104 :rule refl :args (@t166)) % 15.77/16.27 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t166 (not (and @t163 @t161))))) % 15.77/16.27 (step @p106 :rule bool-and-de-morgan :args (@t165 @t163 (and @t161))) % 15.77/16.27 (step @p107 :rule trans :premises (@p106 @p105)) % 15.77/16.27 (step @p108 :rule refl :args (@t168)) % 15.77/16.27 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t168 (not (and @t165 @t163 @t161))))) % 15.77/16.27 (step @p110 :rule bool-and-de-morgan :args (@t167 @t165 (and @t163 @t161))) % 15.77/16.27 (step @p111 :rule trans :premises (@p110 @p109)) % 15.77/16.27 (step @p112 :rule trans :premises (@p111 @p102)) % 15.77/16.27 (step @p113 :rule aci_norm :args ((= (or @t177 (or @t175 (or @t173 @t171))) @t178))) % 15.77/16.27 (step @p114 :rule bool-and-de-morgan :args (@t172 @t170 true)) % 15.77/16.27 (step @p115 :rule refl :args (@t175)) % 15.77/16.27 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t175 (not (and @t172 @t170))))) % 15.77/16.27 (step @p117 :rule bool-and-de-morgan :args (@t174 @t172 (and @t170))) % 15.77/16.27 (step @p118 :rule trans :premises (@p117 @p116)) % 15.77/16.27 (step @p119 :rule refl :args (@t177)) % 15.77/16.27 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t177 (not (and @t174 @t172 @t170))))) % 15.77/16.27 (step @p121 :rule bool-and-de-morgan :args (@t176 @t174 (and @t172 @t170))) % 15.77/16.27 (step @p122 :rule trans :premises (@p121 @p120)) % 15.77/16.27 (step @p123 :rule trans :premises (@p122 @p113)) % 15.77/16.27 (step @p124 :rule aci_norm :args ((= (or @t186 (or @t184 (or @t182 @t180))) @t187))) % 15.77/16.27 (step @p125 :rule bool-and-de-morgan :args (@t181 @t179 true)) % 15.77/16.27 (step @p126 :rule refl :args (@t184)) % 15.77/16.27 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t184 (not (and @t181 @t179))))) % 15.77/16.27 (step @p128 :rule bool-and-de-morgan :args (@t183 @t181 (and @t179))) % 15.77/16.27 (step @p129 :rule trans :premises (@p128 @p127)) % 15.77/16.27 (step @p130 :rule refl :args (@t186)) % 15.77/16.27 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t186 (not (and @t183 @t181 @t179))))) % 15.77/16.27 (step @p132 :rule bool-and-de-morgan :args (@t185 @t183 (and @t181 @t179))) % 15.77/16.27 (step @p133 :rule trans :premises (@p132 @p131)) % 15.77/16.27 (step @p134 :rule trans :premises (@p133 @p124)) % 15.77/16.27 (step @p135 :rule nary_cong :premises (@p134 @p123 @p112 @p101) :args (@t250)) % 15.77/16.27 (step @p136 :rule aci_norm :args ((= (and @t249 (and @t247 (and @t245 @t243))) @t250))) % 15.77/16.27 (step @p137 :rule bool-or-de-morgan :args (@t244 @t242 false)) % 15.77/16.27 (step @p138 :rule refl :args (@t247)) % 15.77/16.27 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((and @t247 (not (or @t244 @t242))))) % 15.77/16.27 (step @p140 :rule bool-or-de-morgan :args (@t246 @t244 (or @t242))) % 15.77/16.27 (step @p141 :rule trans :premises (@p140 @p139)) % 15.77/16.27 (step @p142 :rule refl :args (@t249)) % 15.77/16.27 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((and @t249 (not (or @t246 @t244 @t242))))) % 15.77/16.27 (step @p144 :rule bool-or-de-morgan :args (@t248 @t246 (or @t244 @t242))) % 15.77/16.27 (step @p145 :rule trans :premises (@p144 @p143)) % 15.77/16.27 (step @p146 :rule trans :premises (@p145 @p136)) % 15.77/16.27 (step @p147 :rule trans :premises (@p146 @p135)) % 15.77/16.27 (step @p148 :rule refl :args (@t189)) % 15.77/16.27 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t189 @t251))) % 15.77/16.27 (step @p150 :rule bool-impl-elim :args (@t7 @t251)) % 15.77/16.27 (step @p151 :rule trans :premises (@p150 @p149)) % 15.77/16.27 (step @p152 :rule cong :premises (@p151) :args ((forall @t8 (=> @t7 @t251)))) % 15.77/16.27 (step @p153 :rule bool-impl-elim :args (@t15 @t69)) % 15.77/16.27 (step @p154 :rule cong :premises (@p153) :args (@t70)) % 15.77/16.27 (step @p155 :rule bool-impl-elim :args (@t15 @t71)) % 15.77/16.27 (step @p156 :rule cong :premises (@p155) :args (@t72)) % 15.77/16.27 (step @p157 :rule bool-impl-elim :args (@t15 @t73)) % 15.77/16.27 (step @p158 :rule cong :premises (@p157) :args (@t74)) % 15.77/16.27 (step @p159 :rule bool-impl-elim :args (@t15 @t75)) % 15.77/16.27 (step @p160 :rule cong :premises (@p159) :args (@t76)) % 15.77/16.27 (step @p161 :rule nary_cong :premises (@p160 @p158 @p156 @p154) :args (@t77)) % 15.77/16.27 (step @p162 :rule bool-impl-elim :args (@t15 @t78)) % 15.77/16.27 (step @p163 :rule cong :premises (@p162) :args (@t79)) % 15.77/16.27 (step @p164 :rule bool-impl-elim :args (@t15 @t80)) % 15.77/16.27 (step @p165 :rule cong :premises (@p164) :args (@t81)) % 15.77/16.27 (step @p166 :rule bool-impl-elim :args (@t15 @t82)) % 15.77/16.27 (step @p167 :rule cong :premises (@p166) :args (@t83)) % 15.77/16.27 (step @p168 :rule bool-impl-elim :args (@t15 @t84)) % 15.77/16.27 (step @p169 :rule cong :premises (@p168) :args (@t85)) % 15.77/16.27 (step @p170 :rule nary_cong :premises (@p169 @p167 @p165 @p163) :args (@t86)) % 15.77/16.27 (step @p171 :rule bool-impl-elim :args (@t15 @t87)) % 15.77/16.27 (step @p172 :rule cong :premises (@p171) :args (@t88)) % 15.77/16.27 (step @p173 :rule bool-impl-elim :args (@t15 @t89)) % 15.77/16.27 (step @p174 :rule cong :premises (@p173) :args (@t90)) % 15.77/16.27 (step @p175 :rule bool-impl-elim :args (@t15 @t91)) % 15.77/16.27 (step @p176 :rule cong :premises (@p175) :args (@t92)) % 15.77/16.27 (step @p177 :rule bool-impl-elim :args (@t15 @t93)) % 15.77/16.27 (step @p178 :rule cong :premises (@p177) :args (@t94)) % 15.77/16.27 (step @p179 :rule nary_cong :premises (@p178 @p176 @p174 @p172) :args (@t95)) % 15.77/16.27 (step @p180 :rule bool-impl-elim :args (@t15 @t96)) % 15.77/16.27 (step @p181 :rule cong :premises (@p180) :args (@t97)) % 15.77/16.27 (step @p182 :rule bool-impl-elim :args (@t15 @t98)) % 15.77/16.27 (step @p183 :rule cong :premises (@p182) :args (@t99)) % 15.77/16.27 (step @p184 :rule bool-impl-elim :args (@t15 @t100)) % 15.77/16.27 (step @p185 :rule cong :premises (@p184) :args (@t101)) % 15.77/16.27 (step @p186 :rule bool-impl-elim :args (@t15 @t102)) % 15.77/16.27 (step @p187 :rule cong :premises (@p186) :args (@t103)) % 15.77/16.27 (step @p188 :rule nary_cong :premises (@p187 @p185 @p183 @p181) :args (@t104)) % 15.77/16.27 (step @p189 :rule nary_cong :premises (@p188 @p179 @p170 @p161) :args (@t105)) % 15.77/16.27 (step @p190 :rule cong :premises (@p189) :args (@t106)) % 15.77/16.27 (step @p191 :rule refl :args (@t7)) % 15.77/16.27 (step @p192 :rule cong :premises (@p191 @p190) :args (@t107)) % 15.77/16.27 (step @p193 :rule cong :premises (@p192) :args (@t108)) % 15.77/16.27 (step @p194 :rule trans :premises (@p193 @p152)) % 15.77/16.27 (step @p195 :rule bool-impl-elim :args (@t7 @t109)) % 15.77/16.27 (step @p196 :rule cong :premises (@p195) :args (@t110)) % 15.77/16.27 (step @p197 :rule bool-impl-elim :args (@t7 @t111)) % 15.77/16.27 (step @p198 :rule cong :premises (@p197) :args (@t112)) % 15.77/16.27 (step @p199 :rule bool-impl-elim :args (@t7 @t113)) % 15.77/16.27 (step @p200 :rule cong :premises (@p199) :args (@t114)) % 15.77/16.27 (step @p201 :rule bool-impl-elim :args (@t7 @t115)) % 15.77/16.27 (step @p202 :rule cong :premises (@p201) :args (@t116)) % 15.77/16.27 (step @p203 :rule nary_cong :premises (@p202 @p200 @p198 @p196) :args (@t117)) % 15.77/16.27 (step @p204 :rule bool-impl-elim :args (@t7 @t118)) % 15.77/16.27 (step @p205 :rule cong :premises (@p204) :args (@t119)) % 15.77/16.27 (step @p206 :rule bool-impl-elim :args (@t7 @t120)) % 15.77/16.27 (step @p207 :rule cong :premises (@p206) :args (@t121)) % 15.77/16.27 (step @p208 :rule bool-impl-elim :args (@t7 @t122)) % 15.77/16.27 (step @p209 :rule cong :premises (@p208) :args (@t123)) % 15.77/16.27 (step @p210 :rule bool-impl-elim :args (@t7 @t124)) % 15.77/16.27 (step @p211 :rule cong :premises (@p210) :args (@t125)) % 15.77/16.27 (step @p212 :rule nary_cong :premises (@p211 @p209 @p207 @p205) :args (@t126)) % 15.77/16.27 (step @p213 :rule bool-impl-elim :args (@t7 @t127)) % 15.77/16.27 (step @p214 :rule cong :premises (@p213) :args (@t128)) % 15.77/16.27 (step @p215 :rule bool-impl-elim :args (@t7 @t129)) % 15.77/16.27 (step @p216 :rule cong :premises (@p215) :args (@t130)) % 15.77/16.27 (step @p217 :rule bool-impl-elim :args (@t7 @t131)) % 15.77/16.27 (step @p218 :rule cong :premises (@p217) :args (@t132)) % 15.77/16.27 (step @p219 :rule bool-impl-elim :args (@t7 @t133)) % 15.77/16.27 (step @p220 :rule cong :premises (@p219) :args (@t134)) % 15.77/16.27 (step @p221 :rule nary_cong :premises (@p220 @p218 @p216 @p214) :args (@t135)) % 15.77/16.27 (step @p222 :rule bool-impl-elim :args (@t7 @t136)) % 15.77/16.27 (step @p223 :rule cong :premises (@p222) :args (@t137)) % 15.77/16.27 (step @p224 :rule bool-impl-elim :args (@t7 @t138)) % 15.77/16.27 (step @p225 :rule cong :premises (@p224) :args (@t139)) % 15.77/16.27 (step @p226 :rule bool-impl-elim :args (@t7 @t140)) % 15.77/16.27 (step @p227 :rule cong :premises (@p226) :args (@t141)) % 15.77/16.27 (step @p228 :rule bool-impl-elim :args (@t7 @t142)) % 15.77/16.27 (step @p229 :rule cong :premises (@p228) :args (@t143)) % 15.77/16.27 (step @p230 :rule nary_cong :premises (@p229 @p227 @p225 @p223) :args (@t144)) % 15.77/16.27 (step @p231 :rule nary_cong :premises (@p230 @p221 @p212 @p203) :args (@t145)) % 15.77/16.27 (step @p232 :rule nary_cong :premises (@p231 @p194) :args (@t146)) % 15.77/16.27 (step @p233 :rule cong :premises (@p232) :args (@t147)) % 15.77/16.27 (step @p234 :rule refl :args (@t9)) % 15.77/16.27 (step @p235 :rule cong :premises (@p234 @p233) :args (@t148)) % 15.77/16.27 (step @p236 :rule cong :premises (@p235) :args (@t149)) % 15.77/16.27 (step @p237 :rule trans :premises (@p236 @p90)) % 15.77/16.27 (step @p238 :rule cong :premises (@p237) :args (@t150)) % 15.77/16.27 (step @p239 :rule eq_resolve :premises (@p21 @p238)) % 15.77/16.27 (step @p240 :rule skolemize :premises (@p239)) % 15.77/16.27 (step @p241 :rule bool-double-not-elim :args (@t254)) % 15.77/16.27 (step @p242 :rule refl :args (@t293)) % 15.77/16.27 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or @t293 (not @t255)))) % 15.77/16.27 (step @p244 :rule cnf_or_neg :args (@t293 2)) % 15.77/16.27 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 15.77/16.27 (step @p246 :rule reordering :premises (@p245) :args ((or @t254 @t293))) % 15.77/16.27 (step @p247 :rule chain_m_resolution :premises (@p246 @p240) :args (@t254 @t294 @t295)) % 15.77/16.27 (step @p248 :rule instantiate :premises (@p247) :args (@t296)) % 15.77/16.27 (step @p249 :rule instantiate :premises (@p1) :args (@t296)) % 15.77/16.27 (step @p250 :rule cnf_or_pos :args (@t337)) % 15.77/16.27 (step @p251 :rule reordering :premises (@p250) :args ((or @t336 @t334 (not @t337)))) % 15.77/16.27 (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p248) :args (@t334 (@list false false) (@list @t335 @t337))) % 15.77/16.27 (step @p253 :rule cnf_and_pos :args (@t334 0)) % 15.77/16.27 (step @p254 :rule reordering :premises (@p253) :args ((or @t333 @t338))) % 15.77/16.27 (step @p255 :rule chain_m_resolution :premises (@p254 @p252) :args (@t333 @t339 @t340)) % 15.77/16.27 (step @p256 :rule bool-double-not-elim :args (@t262)) % 15.77/16.27 (step @p257 :rule refl :args (@t264)) % 15.77/16.27 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t264 (not @t263)))) % 15.77/16.27 (step @p259 :rule cnf_or_neg :args (@t264 0)) % 15.77/16.27 (step @p260 :rule eq_resolve :premises (@p259 @p258)) % 15.77/16.27 (step @p261 :rule reordering :premises (@p260) :args ((or @t262 @t264))) % 15.77/16.27 (step @p262 :rule bool-double-not-elim :args (@t260)) % 15.77/16.27 (step @p263 :rule nary_cong :premises (@p257 @p262) :args ((or @t264 (not @t261)))) % 15.77/16.27 (step @p264 :rule cnf_or_neg :args (@t264 1)) % 15.77/16.27 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 15.77/16.27 (step @p266 :rule reordering :premises (@p265) :args ((or @t260 @t264))) % 15.77/16.27 (step @p267 :rule bool-double-not-elim :args (@t258)) % 15.77/16.27 (step @p268 :rule nary_cong :premises (@p257 @p267) :args ((or @t264 (not @t259)))) % 15.77/16.27 (step @p269 :rule cnf_or_neg :args (@t264 2)) % 15.77/16.27 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 15.77/16.27 (step @p271 :rule reordering :premises (@p270) :args ((or @t258 @t264))) % 15.77/16.27 (step @p272 :rule bool-double-not-elim :args (@t256)) % 15.77/16.27 (step @p273 :rule nary_cong :premises (@p257 @p272) :args ((or @t264 (not @t257)))) % 15.77/16.27 (step @p274 :rule cnf_or_neg :args (@t264 3)) % 15.77/16.27 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 15.77/16.27 (step @p276 :rule reordering :premises (@p275) :args ((or @t256 @t264))) % 15.77/16.27 (step @p277 :rule alpha_equiv :args (@t262 @t341 @t342)) % 15.77/16.27 (step @p278 :rule equiv_elim1 :premises (@p277)) % 15.77/16.27 (step @p279 :rule alpha_equiv :args (@t260 @t341 @t342)) % 15.77/16.27 (step @p280 :rule equiv_elim1 :premises (@p279)) % 15.77/16.27 (step @p281 :rule alpha_equiv :args (@t258 @t341 @t342)) % 15.77/16.27 (step @p282 :rule equiv_elim1 :premises (@p281)) % 15.77/16.27 (step @p283 :rule alpha_equiv :args (@t256 @t341 @t342)) % 15.77/16.27 (step @p284 :rule equiv_elim1 :premises (@p283)) % 15.77/16.27 (step @p285 :rule cnf_and_pos :args (@t334 3)) % 15.77/16.27 (step @p286 :rule reordering :premises (@p285) :args ((or @t306 @t338))) % 15.77/16.27 (step @p287 :rule chain_m_resolution :premises (@p286 @p252) :args (@t306 @t339 @t340)) % 15.77/16.27 (step @p288 :rule cnf_or_pos :args (@t306)) % 15.77/16.27 (step @p289 :rule reordering :premises (@p288) :args ((or @t305 @t303 @t301 @t299 (not @t306)))) % 15.77/16.27 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p284 @p282 @p280 @p278 @p276 @p271 @p266 @p261) :args (@t264 @t343 (@list @t306 @t298 @t300 @t302 @t304 @t256 @t258 @t260 @t262))) % 15.77/16.27 (step @p291 :rule bool-double-not-elim :args (@t271)) % 15.77/16.27 (step @p292 :rule refl :args (@t273)) % 15.77/16.27 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or @t273 (not @t272)))) % 15.77/16.27 (step @p294 :rule cnf_or_neg :args (@t273 0)) % 15.77/16.27 (step @p295 :rule eq_resolve :premises (@p294 @p293)) % 15.77/16.27 (step @p296 :rule reordering :premises (@p295) :args ((or @t271 @t273))) % 15.77/16.27 (step @p297 :rule bool-double-not-elim :args (@t269)) % 15.77/16.27 (step @p298 :rule nary_cong :premises (@p292 @p297) :args ((or @t273 (not @t270)))) % 15.77/16.27 (step @p299 :rule cnf_or_neg :args (@t273 1)) % 15.77/16.27 (step @p300 :rule eq_resolve :premises (@p299 @p298)) % 15.77/16.27 (step @p301 :rule reordering :premises (@p300) :args ((or @t269 @t273))) % 15.77/16.27 (step @p302 :rule bool-double-not-elim :args (@t267)) % 15.77/16.27 (step @p303 :rule nary_cong :premises (@p292 @p302) :args ((or @t273 (not @t268)))) % 15.77/16.27 (step @p304 :rule cnf_or_neg :args (@t273 2)) % 15.77/16.27 (step @p305 :rule eq_resolve :premises (@p304 @p303)) % 15.77/16.27 (step @p306 :rule reordering :premises (@p305) :args ((or @t267 @t273))) % 15.77/16.27 (step @p307 :rule bool-double-not-elim :args (@t265)) % 15.77/16.27 (step @p308 :rule nary_cong :premises (@p292 @p307) :args ((or @t273 (not @t266)))) % 15.77/16.27 (step @p309 :rule cnf_or_neg :args (@t273 3)) % 15.77/16.27 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 15.77/16.27 (step @p311 :rule reordering :premises (@p310) :args ((or @t265 @t273))) % 15.77/16.27 (step @p312 :rule alpha_equiv :args (@t271 @t341 @t342)) % 15.77/16.27 (step @p313 :rule equiv_elim1 :premises (@p312)) % 15.77/16.27 (step @p314 :rule alpha_equiv :args (@t269 @t341 @t342)) % 15.77/16.27 (step @p315 :rule equiv_elim1 :premises (@p314)) % 15.77/16.27 (step @p316 :rule alpha_equiv :args (@t267 @t341 @t342)) % 15.77/16.27 (step @p317 :rule equiv_elim1 :premises (@p316)) % 15.77/16.27 (step @p318 :rule alpha_equiv :args (@t265 @t341 @t342)) % 15.77/16.27 (step @p319 :rule equiv_elim1 :premises (@p318)) % 15.77/16.27 (step @p320 :rule cnf_and_pos :args (@t334 2)) % 15.77/16.27 (step @p321 :rule reordering :premises (@p320) :args ((or @t315 @t338))) % 15.77/16.27 (step @p322 :rule chain_m_resolution :premises (@p321 @p252) :args (@t315 @t339 @t340)) % 15.77/16.27 (step @p323 :rule cnf_or_pos :args (@t315)) % 15.77/16.27 (step @p324 :rule reordering :premises (@p323) :args ((or @t314 @t312 @t310 @t308 (not @t315)))) % 15.77/16.27 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p319 @p317 @p315 @p313 @p311 @p306 @p301 @p296) :args (@t273 @t343 (@list @t315 @t307 @t309 @t311 @t313 @t265 @t267 @t269 @t271))) % 15.77/16.27 (step @p326 :rule bool-double-not-elim :args (@t280)) % 15.77/16.27 (step @p327 :rule refl :args (@t282)) % 15.77/16.27 (step @p328 :rule nary_cong :premises (@p327 @p326) :args ((or @t282 (not @t281)))) % 15.77/16.27 (step @p329 :rule cnf_or_neg :args (@t282 0)) % 15.77/16.27 (step @p330 :rule eq_resolve :premises (@p329 @p328)) % 15.77/16.27 (step @p331 :rule reordering :premises (@p330) :args ((or @t280 @t282))) % 15.77/16.27 (step @p332 :rule bool-double-not-elim :args (@t278)) % 15.77/16.27 (step @p333 :rule nary_cong :premises (@p327 @p332) :args ((or @t282 (not @t279)))) % 15.77/16.27 (step @p334 :rule cnf_or_neg :args (@t282 1)) % 15.77/16.27 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 15.77/16.27 (step @p336 :rule reordering :premises (@p335) :args ((or @t278 @t282))) % 15.77/16.27 (step @p337 :rule bool-double-not-elim :args (@t276)) % 15.77/16.27 (step @p338 :rule nary_cong :premises (@p327 @p337) :args ((or @t282 (not @t277)))) % 15.77/16.27 (step @p339 :rule cnf_or_neg :args (@t282 2)) % 15.77/16.27 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 15.77/16.27 (step @p341 :rule reordering :premises (@p340) :args ((or @t276 @t282))) % 15.77/16.27 (step @p342 :rule bool-double-not-elim :args (@t274)) % 15.77/16.27 (step @p343 :rule nary_cong :premises (@p327 @p342) :args ((or @t282 (not @t275)))) % 15.77/16.27 (step @p344 :rule cnf_or_neg :args (@t282 3)) % 15.77/16.27 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 15.77/16.27 (step @p346 :rule reordering :premises (@p345) :args ((or @t274 @t282))) % 15.77/16.27 (step @p347 :rule alpha_equiv :args (@t280 @t341 @t342)) % 15.77/16.27 (step @p348 :rule equiv_elim1 :premises (@p347)) % 15.77/16.27 (step @p349 :rule alpha_equiv :args (@t278 @t341 @t342)) % 15.77/16.27 (step @p350 :rule equiv_elim1 :premises (@p349)) % 15.77/16.27 (step @p351 :rule alpha_equiv :args (@t276 @t341 @t342)) % 15.77/16.27 (step @p352 :rule equiv_elim1 :premises (@p351)) % 15.77/16.27 (step @p353 :rule alpha_equiv :args (@t274 @t341 @t342)) % 15.77/16.27 (step @p354 :rule equiv_elim1 :premises (@p353)) % 15.77/16.27 (step @p355 :rule cnf_and_pos :args (@t334 1)) % 15.77/16.27 (step @p356 :rule reordering :premises (@p355) :args ((or @t324 @t338))) % 15.77/16.27 (step @p357 :rule chain_m_resolution :premises (@p356 @p252) :args (@t324 @t339 @t340)) % 15.77/16.27 (step @p358 :rule cnf_or_pos :args (@t324)) % 15.77/16.27 (step @p359 :rule reordering :premises (@p358) :args ((or @t323 @t321 @t319 @t317 (not @t324)))) % 15.77/16.27 (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p354 @p352 @p350 @p348 @p346 @p341 @p336 @p331) :args (@t282 @t343 (@list @t324 @t316 @t318 @t320 @t322 @t274 @t276 @t278 @t280))) % 15.77/16.27 (step @p361 :rule cnf_or_neg :args (@t293 1)) % 15.77/16.27 (step @p362 :rule chain_m_resolution :premises (@p361 @p240) :args ((not @t292) @t294 @t295)) % 15.77/16.27 (step @p363 :rule cnf_and_neg :args (@t292)) % 15.77/16.27 (step @p364 :rule chain_m_resolution :premises (@p363 @p362 @p360 @p325 @p290) :args ((not @t291) (@list true false false false) (@list @t292 @t282 @t273 @t264))) % 15.77/16.27 (step @p365 :rule bool-double-not-elim :args (@t287)) % 15.77/16.27 (step @p366 :rule refl :args (@t291)) % 15.77/16.27 (step @p367 :rule nary_cong :premises (@p366 @p365) :args ((or @t291 (not @t288)))) % 15.77/16.27 (step @p368 :rule cnf_or_neg :args (@t291 1)) % 15.77/16.27 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 15.77/16.27 (step @p370 :rule reordering :premises (@p369) :args ((or @t287 @t291))) % 15.77/16.27 (step @p371 :rule chain_m_resolution :premises (@p370 @p364) :args (@t287 @t294 @t344)) % 15.77/16.27 (step @p372 :rule alpha_equiv :args (@t287 @t341 @t342)) % 15.77/16.27 (step @p373 :rule equiv_elim1 :premises (@p372)) % 15.77/16.27 (step @p374 :rule chain_m_resolution :premises (@p373 @p371) :args (@t329 @t339 (@list @t287))) % 15.77/16.27 (step @p375 :rule bool-double-not-elim :args (@t289)) % 15.77/16.27 (step @p376 :rule nary_cong :premises (@p366 @p375) :args ((or @t291 (not @t290)))) % 15.77/16.27 (step @p377 :rule cnf_or_neg :args (@t291 0)) % 15.77/16.27 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 15.77/16.27 (step @p379 :rule reordering :premises (@p378) :args ((or @t289 @t291))) % 15.77/16.27 (step @p380 :rule chain_m_resolution :premises (@p379 @p364) :args (@t289 @t294 @t344)) % 15.77/16.27 (step @p381 :rule alpha_equiv :args (@t289 @t341 @t342)) % 15.77/16.27 (step @p382 :rule equiv_elim1 :premises (@p381)) % 15.77/16.27 (step @p383 :rule chain_m_resolution :premises (@p382 @p380) :args (@t331 @t339 (@list @t289))) % 15.77/16.27 (step @p384 :rule bool-double-not-elim :args (@t285)) % 15.77/16.27 (step @p385 :rule nary_cong :premises (@p366 @p384) :args ((or @t291 (not @t286)))) % 15.77/16.27 (step @p386 :rule cnf_or_neg :args (@t291 2)) % 15.77/16.27 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 15.77/16.27 (step @p388 :rule reordering :premises (@p387) :args ((or @t285 @t291))) % 15.77/16.27 (step @p389 :rule chain_m_resolution :premises (@p388 @p364) :args (@t285 @t294 @t344)) % 15.77/16.27 (step @p390 :rule alpha_equiv :args (@t285 @t341 @t342)) % 15.77/16.27 (step @p391 :rule equiv_elim1 :premises (@p390)) % 15.77/16.27 (step @p392 :rule chain_m_resolution :premises (@p391 @p389) :args (@t327 @t339 (@list @t285))) % 15.77/16.27 (step @p393 :rule bool-double-not-elim :args (@t283)) % 15.77/16.27 (step @p394 :rule nary_cong :premises (@p366 @p393) :args ((or @t291 (not @t284)))) % 15.77/16.27 (step @p395 :rule cnf_or_neg :args (@t291 3)) % 15.77/16.27 (step @p396 :rule eq_resolve :premises (@p395 @p394)) % 15.77/16.27 (step @p397 :rule reordering :premises (@p396) :args ((or @t283 @t291))) % 15.77/16.27 (step @p398 :rule chain_m_resolution :premises (@p397 @p364) :args (@t283 @t294 @t344)) % 15.77/16.27 (step @p399 :rule alpha_equiv :args (@t283 @t341 @t342)) % 15.77/16.27 (step @p400 :rule equiv_elim1 :premises (@p399)) % 15.77/16.27 (step @p401 :rule chain_m_resolution :premises (@p400 @p398) :args (@t325 @t339 (@list @t283))) % 15.77/16.27 (step @p402 :rule cnf_or_pos :args (@t333)) % 15.77/16.27 (step @p403 :rule reordering :premises (@p402) :args ((or @t332 @t330 @t328 @t326 (not @t333)))) % 15.77/16.27 (step @p404 false :rule chain_m_resolution :premises (@p403 @p401 @p392 @p383 @p374 @p255) :args (false (@list false false false false false) (@list @t325 @t327 @t331 @t329 @t333))) % 15.77/16.27 ) % 15.77/16.27 % SZS output end Proof % 15.77/16.27 % cvc5 exiting %------------------------------------------------------------------------------