%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL650+1.001 : TPTP v9.3.1. Released v4.0.0. % 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 11:23:18 AM UTC 2026 % Result : Theorem 8.04s 8.39s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL650+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n014.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 20:00:12 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 8.04/8.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 8.04/8.39 % SZS status Theorem % 8.04/8.39 % SZS output start Proof % 8.04/8.39 ( % 8.04/8.39 (declare-sort $$unsorted 0) % 8.04/8.39 (declare-const tptp.p8 (-> $$unsorted Bool)) % 8.04/8.39 (declare-const tptp.p6 (-> $$unsorted Bool)) % 8.04/8.39 (declare-const tptp.p5 (-> $$unsorted Bool)) % 8.04/8.39 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 8.04/8.39 (declare-const tptp.p4 (-> $$unsorted Bool)) % 8.04/8.39 (declare-const tptp.p3 (-> $$unsorted Bool)) % 8.04/8.39 (declare-const tptp.p2 (-> $$unsorted Bool)) % 8.04/8.39 (declare-const tptp.p1 (-> $$unsorted Bool)) % 8.04/8.39 (define @t1 () (@var "X" $$unsorted)) % 8.04/8.39 (define @t2 () (tptp.p1 @t1)) % 8.04/8.39 (define @t3 () (tptp.p2 @t1)) % 8.04/8.39 (define @t4 () (tptp.p3 @t1)) % 8.04/8.39 (define @t5 () (tptp.p4 @t1)) % 8.04/8.39 (define @t6 () (@var "Y" $$unsorted)) % 8.04/8.39 (define @t7 () (not (tptp.r1 @t6 @t1))) % 8.04/8.39 (define @t8 () (@list @t1)) % 8.04/8.39 (define @t9 () (not (tptp.r1 @t1 @t6))) % 8.04/8.39 (define @t10 () (@list @t6)) % 8.04/8.39 (define @t11 () (forall @t10 (or @t9 (forall @t8 (or @t7 (and @t5 @t4 @t3 @t2)))))) % 8.04/8.39 (define @t12 () (or @t7 @t11)) % 8.04/8.39 (define @t13 () (forall @t8 @t12)) % 8.04/8.39 (define @t14 () (or @t9 @t13)) % 8.04/8.39 (define @t15 () (forall @t10 @t14)) % 8.04/8.39 (define @t16 () (and @t3 @t2)) % 8.04/8.39 (define @t17 () (not @t3)) % 8.04/8.39 (define @t18 () (not @t2)) % 8.04/8.39 (define @t19 () (and @t18 @t17)) % 8.04/8.39 (define @t20 () (or @t7 (not (or @t19 @t16)))) % 8.04/8.39 (define @t21 () (forall @t8 @t20)) % 8.04/8.39 (define @t22 () (or @t9 (not (not @t21)))) % 8.04/8.39 (define @t23 () (forall @t10 @t22)) % 8.04/8.39 (define @t24 () (not @t23)) % 8.04/8.39 (define @t25 () (forall @t10 (or @t9 (tptp.p3 @t6)))) % 8.04/8.39 (define @t26 () (and @t4 @t3)) % 8.04/8.39 (define @t27 () (not @t4)) % 8.04/8.39 (define @t28 () (and @t17 @t27)) % 8.04/8.39 (define @t29 () (or @t7 (not (or @t28 @t26)))) % 8.04/8.39 (define @t30 () (forall @t8 @t29)) % 8.04/8.39 (define @t31 () (or @t9 @t30)) % 8.04/8.39 (define @t32 () (forall @t10 @t31)) % 8.04/8.39 (define @t33 () (not @t32)) % 8.04/8.39 (define @t34 () (or @t33 @t25 @t24)) % 8.04/8.39 (define @t35 () (not @t34)) % 8.04/8.39 (define @t36 () (or @t7 @t35)) % 8.04/8.39 (define @t37 () (forall @t8 @t36)) % 8.04/8.39 (define @t38 () (not @t37)) % 8.04/8.39 (define @t39 () (forall @t8 (or @t7 @t5))) % 8.04/8.39 (define @t40 () (and @t2 @t4)) % 8.04/8.39 (define @t41 () (and @t27 @t18)) % 8.04/8.39 (define @t42 () (or @t7 (not (or @t41 @t40)))) % 8.04/8.39 (define @t43 () (forall @t8 @t42)) % 8.04/8.39 (define @t44 () (or @t9 @t43)) % 8.04/8.39 (define @t45 () (forall @t10 @t44)) % 8.04/8.39 (define @t46 () (or @t7 @t45)) % 8.04/8.39 (define @t47 () (forall @t8 @t46)) % 8.04/8.39 (define @t48 () (not @t47)) % 8.04/8.39 (define @t49 () (or @t48 @t39 @t38)) % 8.04/8.39 (define @t50 () (not @t49)) % 8.04/8.39 (define @t51 () (or @t9 @t50)) % 8.04/8.39 (define @t52 () (forall @t10 @t51)) % 8.04/8.39 (define @t53 () (not @t52)) % 8.04/8.39 (define @t54 () (forall @t10 (or @t9 (tptp.p5 @t6)))) % 8.04/8.39 (define @t55 () (forall @t10 (or @t9 (forall @t8 (or @t7 (and (not (tptp.p8 @t1)) (not (tptp.p6 @t1)) (not @t5) @t17)))))) % 8.04/8.39 (define @t56 () (or @t7 @t55)) % 8.04/8.39 (define @t57 () (forall @t8 @t56)) % 8.04/8.39 (define @t58 () (or @t9 @t57)) % 8.04/8.39 (define @t59 () (forall @t10 @t58)) % 8.04/8.39 (define @t60 () (or @t59 @t54 @t53 @t15)) % 8.04/8.39 (define @t61 () (not @t60)) % 8.04/8.39 (define @t62 () (exists @t8 @t61)) % 8.04/8.39 (define @t63 () (@var "BOUND_VARIABLE_7945" $$unsorted)) % 8.04/8.39 (define @t64 () (and (tptp.p4 @t63) (tptp.p3 @t63) (tptp.p2 @t63) (tptp.p1 @t63))) % 8.04/8.39 (define @t65 () (@var "BOUND_VARIABLE_7943" $$unsorted)) % 8.04/8.39 (define @t66 () (not (tptp.r1 @t65 @t63))) % 8.04/8.39 (define @t67 () (@var "BOUND_VARIABLE_7941" $$unsorted)) % 8.04/8.39 (define @t68 () (not (tptp.r1 @t67 @t65))) % 8.04/8.39 (define @t69 () (@var "BOUND_VARIABLE_7939" $$unsorted)) % 8.04/8.39 (define @t70 () (not (tptp.r1 @t69 @t67))) % 8.04/8.39 (define @t71 () (not (tptp.r1 @t1 @t69))) % 8.04/8.39 (define @t72 () (@var "BOUND_VARIABLE_7933" $$unsorted)) % 8.04/8.39 (define @t73 () (tptp.p5 @t72)) % 8.04/8.39 (define @t74 () (not (tptp.r1 @t1 @t72))) % 8.04/8.39 (define @t75 () (@var "BOUND_VARIABLE_7913" $$unsorted)) % 8.04/8.39 (define @t76 () (and (not (tptp.p8 @t75)) (not (tptp.p6 @t75)) (not (tptp.p4 @t75)) (not (tptp.p2 @t75)))) % 8.04/8.39 (define @t77 () (@var "BOUND_VARIABLE_7911" $$unsorted)) % 8.04/8.39 (define @t78 () (not (tptp.r1 @t77 @t75))) % 8.04/8.39 (define @t79 () (@var "BOUND_VARIABLE_7909" $$unsorted)) % 8.04/8.39 (define @t80 () (not (tptp.r1 @t79 @t77))) % 8.04/8.39 (define @t81 () (@var "BOUND_VARIABLE_7907" $$unsorted)) % 8.04/8.39 (define @t82 () (not (tptp.r1 @t81 @t79))) % 8.04/8.39 (define @t83 () (not (tptp.r1 @t1 @t81))) % 8.04/8.39 (define @t84 () (@var "BOUND_VARIABLE_7784" $$unsorted)) % 8.04/8.39 (define @t85 () (tptp.p1 @t84)) % 8.04/8.39 (define @t86 () (tptp.p2 @t84)) % 8.04/8.39 (define @t87 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 8.04/8.39 (define @t88 () (@var "BOUND_VARIABLE_7776" $$unsorted)) % 8.04/8.39 (define @t89 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 8.04/8.39 (define @t90 () (tptp.p3 @t89)) % 8.04/8.39 (define @t91 () (@list @t89)) % 8.04/8.39 (define @t92 () (@var "BOUND_VARIABLE_7780" $$unsorted)) % 8.04/8.39 (define @t93 () (tptp.p2 @t92)) % 8.04/8.39 (define @t94 () (tptp.p3 @t92)) % 8.04/8.39 (define @t95 () (@var "BOUND_VARIABLE_7778" $$unsorted)) % 8.04/8.39 (define @t96 () (or (not (tptp.r1 @t6 @t88)) (and (or (not (tptp.r1 @t88 @t95)) (not (tptp.r1 @t95 @t92)) (and (or @t93 @t94) (or (not @t94) (not @t93)))) (not (forall @t91 (or (not (tptp.r1 @t88 @t89)) @t90))) (or (not (tptp.r1 @t88 @t87)) (not (tptp.r1 @t87 @t84)) (and (or @t85 @t86) (or (not @t86) (not @t85))))))) % 8.04/8.39 (define @t97 () (@var "BOUND_VARIABLE_7892" $$unsorted)) % 8.04/8.39 (define @t98 () (tptp.p4 @t97)) % 8.04/8.39 (define @t99 () (@list @t97)) % 8.04/8.39 (define @t100 () (@var "BOUND_VARIABLE_7760" $$unsorted)) % 8.04/8.39 (define @t101 () (tptp.p3 @t100)) % 8.04/8.39 (define @t102 () (tptp.p1 @t100)) % 8.04/8.39 (define @t103 () (@var "BOUND_VARIABLE_7758" $$unsorted)) % 8.04/8.39 (define @t104 () (@var "BOUND_VARIABLE_7756" $$unsorted)) % 8.04/8.39 (define @t105 () (or (not (tptp.r1 @t6 @t104)) (not (tptp.r1 @t104 @t103)) (not (tptp.r1 @t103 @t100)) (and (or @t101 @t102) (or (not @t102) (not @t101))))) % 8.04/8.39 (define @t106 () (and @t105 (not (forall @t99 (or (not (tptp.r1 @t6 @t97)) @t98))) @t96)) % 8.04/8.39 (define @t107 () (@list @t6 @t104 @t103 @t100 @t88 @t95 @t92 @t87 @t84)) % 8.04/8.39 (define @t108 () (not (forall @t107 (or @t9 @t106)))) % 8.04/8.39 (define @t109 () (or @t108 @t83 @t82 @t80 @t78 @t76 @t74 @t73 @t71 @t70 @t68 @t66 @t64)) % 8.04/8.39 (define @t110 () (or @t71 @t70 @t68 @t66 @t64)) % 8.04/8.39 (define @t111 () (or @t74 @t73)) % 8.04/8.39 (define @t112 () (or @t83 @t82 @t80 @t78 @t76)) % 8.04/8.39 (define @t113 () (or @t112 @t111 @t108 @t110)) % 8.04/8.39 (define @t114 () (@list @t1 @t81 @t79 @t77 @t75 @t72 @t69 @t67 @t65 @t63)) % 8.04/8.39 (define @t115 () (forall @t114 @t113)) % 8.04/8.39 (define @t116 () (forall (@list @t81 @t79 @t77 @t75 @t72 @t69 @t67 @t65 @t63) @t113)) % 8.04/8.39 (define @t117 () (forall (@list @t69 @t67 @t65 @t63) @t110)) % 8.04/8.39 (define @t118 () (@var "BOUND_VARIABLE_7866" $$unsorted)) % 8.04/8.39 (define @t119 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 8.04/8.39 (define @t120 () (@var "BOUND_VARIABLE_7862" $$unsorted)) % 8.04/8.39 (define @t121 () (forall (@list @t72) @t111)) % 8.04/8.39 (define @t122 () (@list @t6)) % 8.04/8.39 (define @t123 () (forall (@list @t81 @t79 @t77 @t75) @t112)) % 8.04/8.39 (define @t124 () (@var "BOUND_VARIABLE_7559" $$unsorted)) % 8.04/8.39 (define @t125 () (@var "BOUND_VARIABLE_7557" $$unsorted)) % 8.04/8.39 (define @t126 () (@var "BOUND_VARIABLE_7555" $$unsorted)) % 8.04/8.39 (define @t127 () (or @t123 @t121 @t108 @t117)) % 8.04/8.39 (define @t128 () (and (tptp.p4 @t118) (tptp.p3 @t118) (tptp.p2 @t118) (tptp.p1 @t118))) % 8.04/8.39 (define @t129 () (not (tptp.r1 @t119 @t118))) % 8.04/8.39 (define @t130 () (not (tptp.r1 @t120 @t119))) % 8.04/8.39 (define @t131 () (not (tptp.r1 @t6 @t120))) % 8.04/8.39 (define @t132 () (or @t9 @t131 @t130 @t129 @t128)) % 8.04/8.39 (define @t133 () (@list @t6 @t120 @t119 @t118)) % 8.04/8.39 (define @t134 () (forall @t133 @t132)) % 8.04/8.39 (define @t135 () (and (not (tptp.p8 @t124)) (not (tptp.p6 @t124)) (not (tptp.p4 @t124)) (not (tptp.p2 @t124)))) % 8.04/8.39 (define @t136 () (not (tptp.r1 @t125 @t124))) % 8.04/8.39 (define @t137 () (not (tptp.r1 @t126 @t125))) % 8.04/8.39 (define @t138 () (not (tptp.r1 @t6 @t126))) % 8.04/8.39 (define @t139 () (or @t9 @t138 @t137 @t136 @t135)) % 8.04/8.39 (define @t140 () (@list @t6 @t126 @t125 @t124)) % 8.04/8.39 (define @t141 () (forall @t140 @t139)) % 8.04/8.39 (define @t142 () (@list @t1)) % 8.04/8.39 (define @t143 () (not @t39)) % 8.04/8.39 (define @t144 () (and @t105 @t143 @t96)) % 8.04/8.39 (define @t145 () (or @t9 @t144)) % 8.04/8.39 (define @t146 () (forall @t107 @t145)) % 8.04/8.39 (define @t147 () (not @t146)) % 8.04/8.39 (define @t148 () (or @t141 @t54 @t147 @t134)) % 8.04/8.39 (define @t149 () (not @t148)) % 8.04/8.39 (define @t150 () (forall @t8 (not @t149))) % 8.04/8.39 (define @t151 () (not @t150)) % 8.04/8.39 (define @t152 () (or @t131 @t130 @t129 @t128)) % 8.04/8.39 (define @t153 () (or @t9 @t152)) % 8.04/8.39 (define @t154 () (forall @t133 @t153)) % 8.04/8.39 (define @t155 () (@list @t120 @t119 @t118)) % 8.04/8.39 (define @t156 () (forall @t155 @t153)) % 8.04/8.39 (define @t157 () (forall @t155 @t152)) % 8.04/8.39 (define @t158 () (@var "BOUND_VARIABLE_7843" $$unsorted)) % 8.04/8.39 (define @t159 () (@var "BOUND_VARIABLE_7841" $$unsorted)) % 8.04/8.39 (define @t160 () (or @t9 @t157)) % 8.04/8.39 (define @t161 () (and (tptp.p4 @t158) (tptp.p3 @t158) (tptp.p2 @t158) (tptp.p1 @t158))) % 8.04/8.39 (define @t162 () (not (tptp.r1 @t159 @t158))) % 8.04/8.39 (define @t163 () (not (tptp.r1 @t1 @t159))) % 8.04/8.39 (define @t164 () (or @t7 @t163 @t162 @t161)) % 8.04/8.39 (define @t165 () (@list @t1 @t159 @t158)) % 8.04/8.39 (define @t166 () (or @t163 @t162 @t161)) % 8.04/8.39 (define @t167 () (or @t7 @t166)) % 8.04/8.39 (define @t168 () (forall @t165 @t167)) % 8.04/8.39 (define @t169 () (@list @t159 @t158)) % 8.04/8.39 (define @t170 () (forall @t169 @t167)) % 8.04/8.39 (define @t171 () (forall @t169 @t166)) % 8.04/8.39 (define @t172 () (@var "BOUND_VARIABLE_7824" $$unsorted)) % 8.04/8.39 (define @t173 () (or @t7 @t171)) % 8.04/8.39 (define @t174 () (and (tptp.p4 @t172) (tptp.p3 @t172) (tptp.p2 @t172) (tptp.p1 @t172))) % 8.04/8.39 (define @t175 () (not (tptp.r1 @t6 @t172))) % 8.04/8.39 (define @t176 () (or @t9 @t175 @t174)) % 8.04/8.39 (define @t177 () (@list @t6 @t172)) % 8.04/8.39 (define @t178 () (or @t175 @t174)) % 8.04/8.39 (define @t179 () (or @t9 @t178)) % 8.04/8.39 (define @t180 () (forall @t177 @t179)) % 8.04/8.39 (define @t181 () (@list @t172)) % 8.04/8.39 (define @t182 () (forall @t181 @t179)) % 8.04/8.39 (define @t183 () (forall @t181 @t178)) % 8.04/8.39 (define @t184 () (or @t9 @t183)) % 8.04/8.39 (define @t185 () (@list @t104 @t103 @t100 @t88 @t95 @t92 @t87 @t84)) % 8.04/8.39 (define @t186 () (forall @t185 @t145)) % 8.04/8.39 (define @t187 () (forall (@list @t88 @t95 @t92 @t87 @t84) @t96)) % 8.04/8.39 (define @t188 () (@var "BOUND_VARIABLE_7712" $$unsorted)) % 8.04/8.39 (define @t189 () (@var "BOUND_VARIABLE_7710" $$unsorted)) % 8.04/8.39 (define @t190 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 8.04/8.39 (define @t191 () (@var "BOUND_VARIABLE_7694" $$unsorted)) % 8.04/8.39 (define @t192 () (forall @t185 @t96)) % 8.04/8.39 (define @t193 () (forall @t185 @t143)) % 8.04/8.39 (define @t194 () (forall (@list @t104 @t103 @t100) @t105)) % 8.04/8.39 (define @t195 () (@var "BOUND_VARIABLE_7612" $$unsorted)) % 8.04/8.39 (define @t196 () (@var "BOUND_VARIABLE_7610" $$unsorted)) % 8.04/8.39 (define @t197 () (forall @t185 @t105)) % 8.04/8.39 (define @t198 () (and @t197 @t193 @t192)) % 8.04/8.39 (define @t199 () (forall @t185 @t144)) % 8.04/8.39 (define @t200 () (or @t9 @t199)) % 8.04/8.39 (define @t201 () (tptp.p1 @t188)) % 8.04/8.39 (define @t202 () (tptp.p2 @t188)) % 8.04/8.39 (define @t203 () (or (not (tptp.r1 @t1 @t189)) (not (tptp.r1 @t189 @t188)) (and (or @t201 @t202) (or (not @t202) (not @t201))))) % 8.04/8.39 (define @t204 () (tptp.p2 @t190)) % 8.04/8.39 (define @t205 () (tptp.p3 @t190)) % 8.04/8.39 (define @t206 () (or (not (tptp.r1 @t1 @t191)) (not (tptp.r1 @t191 @t190)) (and (or @t204 @t205) (or (not @t205) (not @t204))))) % 8.04/8.39 (define @t207 () (@list @t1 @t191 @t190 @t189 @t188)) % 8.04/8.39 (define @t208 () (forall @t207 (or @t7 (and @t206 (not (forall @t91 (or (not (tptp.r1 @t1 @t89)) @t90))) @t203)))) % 8.04/8.39 (define @t209 () (tptp.p3 @t195)) % 8.04/8.39 (define @t210 () (tptp.p1 @t195)) % 8.04/8.39 (define @t211 () (and (or @t209 @t210) (or (not @t210) (not @t209)))) % 8.04/8.39 (define @t212 () (not (tptp.r1 @t196 @t195))) % 8.04/8.39 (define @t213 () (not (tptp.r1 @t1 @t196))) % 8.04/8.39 (define @t214 () (or @t7 @t213 @t212 @t211)) % 8.04/8.39 (define @t215 () (@list @t1 @t196 @t195)) % 8.04/8.39 (define @t216 () (forall @t215 @t214)) % 8.04/8.39 (define @t217 () (not @t208)) % 8.04/8.39 (define @t218 () (not @t217)) % 8.04/8.39 (define @t219 () (not @t216)) % 8.04/8.39 (define @t220 () (not @t219)) % 8.04/8.39 (define @t221 () (and @t220 @t143 @t218)) % 8.04/8.39 (define @t222 () (or @t9 (not (or @t219 @t39 @t217)))) % 8.04/8.39 (define @t223 () (not @t25)) % 8.04/8.39 (define @t224 () (and @t206 @t223 @t203)) % 8.04/8.39 (define @t225 () (or @t7 @t224)) % 8.04/8.39 (define @t226 () (forall @t207 @t225)) % 8.04/8.39 (define @t227 () (not @t226)) % 8.04/8.39 (define @t228 () (or @t219 @t39 @t227)) % 8.04/8.39 (define @t229 () (not @t228)) % 8.04/8.39 (define @t230 () (or @t9 @t229)) % 8.04/8.39 (define @t231 () (@list @t191 @t190 @t189 @t188)) % 8.04/8.39 (define @t232 () (forall @t231 @t225)) % 8.04/8.39 (define @t233 () (forall (@list @t189 @t188) @t203)) % 8.04/8.39 (define @t234 () (@var "BOUND_VARIABLE_7668" $$unsorted)) % 8.04/8.39 (define @t235 () (forall @t231 @t203)) % 8.04/8.39 (define @t236 () (forall @t231 @t223)) % 8.04/8.39 (define @t237 () (forall (@list @t191 @t190) @t206)) % 8.04/8.39 (define @t238 () (@var "BOUND_VARIABLE_7641" $$unsorted)) % 8.04/8.39 (define @t239 () (forall @t231 @t206)) % 8.04/8.39 (define @t240 () (and @t239 @t236 @t235)) % 8.04/8.39 (define @t241 () (forall @t231 @t224)) % 8.04/8.39 (define @t242 () (or @t7 @t241)) % 8.04/8.39 (define @t243 () (tptp.p1 @t234)) % 8.04/8.39 (define @t244 () (tptp.p2 @t234)) % 8.04/8.39 (define @t245 () (and (or @t243 @t244) (or (not @t244) (not @t243)))) % 8.04/8.39 (define @t246 () (not (tptp.r1 @t6 @t234))) % 8.04/8.39 (define @t247 () (or @t9 @t246 @t245)) % 8.04/8.39 (define @t248 () (@list @t6 @t234)) % 8.04/8.39 (define @t249 () (forall @t248 @t247)) % 8.04/8.39 (define @t250 () (tptp.p2 @t238)) % 8.04/8.39 (define @t251 () (tptp.p3 @t238)) % 8.04/8.39 (define @t252 () (and (or @t250 @t251) (or (not @t251) (not @t250)))) % 8.04/8.39 (define @t253 () (not (tptp.r1 @t6 @t238))) % 8.04/8.39 (define @t254 () (or @t9 @t253 @t252)) % 8.04/8.39 (define @t255 () (@list @t6 @t238)) % 8.04/8.39 (define @t256 () (forall @t255 @t254)) % 8.04/8.39 (define @t257 () (not @t249)) % 8.04/8.39 (define @t258 () (not @t257)) % 8.04/8.39 (define @t259 () (not @t256)) % 8.04/8.39 (define @t260 () (not @t259)) % 8.04/8.39 (define @t261 () (and @t260 @t223 @t258)) % 8.04/8.39 (define @t262 () (or @t7 (not (or @t259 @t25 @t257)))) % 8.04/8.39 (define @t263 () (or @t246 @t245)) % 8.04/8.39 (define @t264 () (or @t9 @t263)) % 8.04/8.39 (define @t265 () (forall @t248 @t264)) % 8.04/8.39 (define @t266 () (@list @t234)) % 8.04/8.39 (define @t267 () (forall @t266 @t264)) % 8.04/8.39 (define @t268 () (forall @t266 @t263)) % 8.04/8.39 (define @t269 () (or @t9 @t268)) % 8.04/8.39 (define @t270 () (not @t17)) % 8.04/8.39 (define @t271 () (not @t18)) % 8.04/8.39 (define @t272 () (or @t253 @t252)) % 8.04/8.39 (define @t273 () (or @t9 @t272)) % 8.04/8.39 (define @t274 () (forall @t255 @t273)) % 8.04/8.39 (define @t275 () (@list @t238)) % 8.04/8.39 (define @t276 () (forall @t275 @t273)) % 8.04/8.39 (define @t277 () (forall @t275 @t272)) % 8.04/8.39 (define @t278 () (or @t9 @t277)) % 8.04/8.39 (define @t279 () (not @t27)) % 8.04/8.39 (define @t280 () (or @t213 @t212 @t211)) % 8.04/8.39 (define @t281 () (or @t7 @t280)) % 8.04/8.39 (define @t282 () (forall @t215 @t281)) % 8.04/8.39 (define @t283 () (@list @t196 @t195)) % 8.04/8.39 (define @t284 () (forall @t283 @t281)) % 8.04/8.39 (define @t285 () (forall @t283 @t280)) % 8.04/8.39 (define @t286 () (@var "BOUND_VARIABLE_7591" $$unsorted)) % 8.04/8.39 (define @t287 () (or @t7 @t285)) % 8.04/8.39 (define @t288 () (tptp.p3 @t286)) % 8.04/8.39 (define @t289 () (tptp.p1 @t286)) % 8.04/8.39 (define @t290 () (and (or @t288 @t289) (or (not @t289) (not @t288)))) % 8.04/8.39 (define @t291 () (not (tptp.r1 @t6 @t286))) % 8.04/8.39 (define @t292 () (or @t9 @t291 @t290)) % 8.04/8.39 (define @t293 () (@list @t6 @t286)) % 8.04/8.39 (define @t294 () (or @t291 @t290)) % 8.04/8.39 (define @t295 () (or @t9 @t294)) % 8.04/8.39 (define @t296 () (forall @t293 @t295)) % 8.04/8.39 (define @t297 () (@list @t286)) % 8.04/8.39 (define @t298 () (forall @t297 @t295)) % 8.04/8.39 (define @t299 () (forall @t297 @t294)) % 8.04/8.39 (define @t300 () (or @t9 @t299)) % 8.04/8.39 (define @t301 () (or @t138 @t137 @t136 @t135)) % 8.04/8.39 (define @t302 () (or @t9 @t301)) % 8.04/8.39 (define @t303 () (forall @t140 @t302)) % 8.04/8.39 (define @t304 () (@list @t126 @t125 @t124)) % 8.04/8.39 (define @t305 () (forall @t304 @t302)) % 8.04/8.39 (define @t306 () (forall @t304 @t301)) % 8.04/8.39 (define @t307 () (@var "BOUND_VARIABLE_7532" $$unsorted)) % 8.04/8.39 (define @t308 () (@var "BOUND_VARIABLE_7530" $$unsorted)) % 8.04/8.39 (define @t309 () (or @t9 @t306)) % 8.04/8.39 (define @t310 () (and (not (tptp.p8 @t307)) (not (tptp.p6 @t307)) (not (tptp.p4 @t307)) (not (tptp.p2 @t307)))) % 8.04/8.39 (define @t311 () (not (tptp.r1 @t308 @t307))) % 8.04/8.39 (define @t312 () (not (tptp.r1 @t1 @t308))) % 8.04/8.39 (define @t313 () (or @t7 @t312 @t311 @t310)) % 8.04/8.39 (define @t314 () (@list @t1 @t308 @t307)) % 8.04/8.39 (define @t315 () (or @t312 @t311 @t310)) % 8.04/8.39 (define @t316 () (or @t7 @t315)) % 8.04/8.39 (define @t317 () (forall @t314 @t316)) % 8.04/8.39 (define @t318 () (@list @t308 @t307)) % 8.04/8.39 (define @t319 () (forall @t318 @t316)) % 8.04/8.39 (define @t320 () (forall @t318 @t315)) % 8.04/8.39 (define @t321 () (@var "BOUND_VARIABLE_7509" $$unsorted)) % 8.04/8.39 (define @t322 () (or @t7 @t320)) % 8.04/8.39 (define @t323 () (and (not (tptp.p8 @t321)) (not (tptp.p6 @t321)) (not (tptp.p4 @t321)) (not (tptp.p2 @t321)))) % 8.04/8.39 (define @t324 () (not (tptp.r1 @t6 @t321))) % 8.04/8.39 (define @t325 () (or @t9 @t324 @t323)) % 8.04/8.39 (define @t326 () (@list @t6 @t321)) % 8.04/8.39 (define @t327 () (or @t324 @t323)) % 8.04/8.39 (define @t328 () (or @t9 @t327)) % 8.04/8.39 (define @t329 () (forall @t326 @t328)) % 8.04/8.39 (define @t330 () (@list @t321)) % 8.04/8.39 (define @t331 () (forall @t330 @t328)) % 8.04/8.39 (define @t332 () (forall @t330 @t327)) % 8.04/8.39 (define @t333 () (or @t9 @t332)) % 8.04/8.39 (define @t334 () (forall @t114 @t109)) % 8.04/8.39 (define @t335 () (@quantifiers_skolemize @t334 0)) % 8.04/8.39 (define @t336 () (forall @t107 (or (not (tptp.r1 @t335 @t6)) @t106))) % 8.04/8.39 (define @t337 () (@quantifiers_skolemize @t334 9)) % 8.04/8.39 (define @t338 () (@quantifiers_skolemize @t334 8)) % 8.04/8.39 (define @t339 () (@quantifiers_skolemize @t334 7)) % 8.04/8.39 (define @t340 () (@quantifiers_skolemize @t334 6)) % 8.04/8.39 (define @t341 () (@quantifiers_skolemize @t334 5)) % 8.04/8.39 (define @t342 () (@quantifiers_skolemize @t334 4)) % 8.04/8.39 (define @t343 () (tptp.p2 @t342)) % 8.04/8.39 (define @t344 () (not @t343)) % 8.04/8.39 (define @t345 () (@quantifiers_skolemize @t334 3)) % 8.04/8.39 (define @t346 () (tptp.r1 @t345 @t342)) % 8.04/8.39 (define @t347 () (not @t346)) % 8.04/8.39 (define @t348 () (@quantifiers_skolemize @t334 2)) % 8.04/8.39 (define @t349 () (tptp.r1 @t348 @t345)) % 8.04/8.39 (define @t350 () (not @t349)) % 8.04/8.39 (define @t351 () (@quantifiers_skolemize @t334 1)) % 8.04/8.39 (define @t352 () (tptp.r1 @t351 @t348)) % 8.04/8.39 (define @t353 () (not @t352)) % 8.04/8.39 (define @t354 () (tptp.r1 @t335 @t351)) % 8.04/8.39 (define @t355 () (not @t354)) % 8.04/8.39 (define @t356 () (not @t336)) % 8.04/8.39 (define @t357 () (or @t356 @t355 @t353 @t350 @t347 (and (not (tptp.p8 @t342)) (not (tptp.p6 @t342)) (not (tptp.p4 @t342)) @t344) (not (tptp.r1 @t335 @t341)) (tptp.p5 @t341) (not (tptp.r1 @t335 @t340)) (not (tptp.r1 @t340 @t339)) (not (tptp.r1 @t339 @t338)) (not (tptp.r1 @t338 @t337)) (and (tptp.p4 @t337) (tptp.p3 @t337) (tptp.p2 @t337) (tptp.p1 @t337)))) % 8.04/8.39 (define @t358 () (@list true)) % 8.04/8.39 (define @t359 () (@list @t357)) % 8.04/8.39 (define @t360 () (tptp.p1 @t342)) % 8.04/8.39 (define @t361 () (not @t360)) % 8.04/8.39 (define @t362 () (or @t344 @t361)) % 8.04/8.39 (define @t363 () (or @t360 @t343)) % 8.04/8.39 (define @t364 () (and @t363 @t362)) % 8.04/8.39 (define @t365 () (or @t350 @t347 @t364)) % 8.04/8.39 (define @t366 () (not (forall @t91 (or (not (tptp.r1 @t348 @t89)) @t90)))) % 8.04/8.39 (define @t367 () (tptp.p2 @t351)) % 8.04/8.39 (define @t368 () (not @t367)) % 8.04/8.39 (define @t369 () (tptp.p3 @t351)) % 8.04/8.39 (define @t370 () (not @t369)) % 8.04/8.39 (define @t371 () (not (tptp.r1 @t348 @t335))) % 8.04/8.39 (define @t372 () (and (or @t371 @t355 (and (or @t367 @t369) (or @t370 @t368))) @t366 @t365)) % 8.04/8.39 (define @t373 () (or @t353 @t372)) % 8.04/8.39 (define @t374 () (not (forall @t99 (or (not (tptp.r1 @t351 @t97)) @t98)))) % 8.04/8.39 (define @t375 () (tptp.p1 @t351)) % 8.04/8.39 (define @t376 () (not @t375)) % 8.04/8.39 (define @t377 () (and (or @t369 @t375) (or @t376 @t370))) % 8.04/8.39 (define @t378 () (and (or @t353 @t371 @t355 @t377) @t374 @t373)) % 8.04/8.39 (define @t379 () (or @t355 @t378)) % 8.04/8.39 (define @t380 () (@list false false)) % 8.04/8.39 (define @t381 () (@list false)) % 8.04/8.39 (define @t382 () (@list false false false)) % 8.04/8.39 (define @t383 () (not @t364)) % 8.04/8.39 (define @t384 () (@list @t364)) % 8.04/8.39 (define @t385 () (tptp.p1 @t338)) % 8.04/8.39 (define @t386 () (tptp.p2 @t338)) % 8.04/8.39 (define @t387 () (tptp.p3 @t342)) % 8.04/8.39 (define @t388 () (not @t387)) % 8.04/8.39 (define @t389 () (or @t388 @t344)) % 8.04/8.39 (define @t390 () (or @t343 @t387)) % 8.04/8.39 (define @t391 () (and @t390 @t389)) % 8.04/8.39 (define @t392 () (or @t361 @t388)) % 8.04/8.39 (define @t393 () (or @t387 @t360)) % 8.04/8.39 (define @t394 () (and @t393 @t392)) % 8.04/8.39 (define @t395 () (or @t353 @t350 @t347 @t394)) % 8.04/8.39 (define @t396 () (and @t395 @t374 (or (not (tptp.r1 @t351 @t345)) (and (or (not (tptp.r1 @t345 @t345)) @t347 @t391) (not (forall @t91 (or (not (tptp.r1 @t345 @t89)) @t90))) (or @t347 (not (tptp.r1 @t342 @t338)) (and (or @t385 @t386) (or (not @t386) (not @t385)))))))) % 8.04/8.39 (define @t397 () (or @t355 @t396)) % 8.04/8.39 (define @t398 () (not @t394)) % 8.04/8.39 (define @t399 () (@list @t394)) % 8.04/8.39 (define @t400 () (or @t350 @t347 @t391)) % 8.04/8.39 (define @t401 () (and @t400 @t366 (or @t371 @t355 (and (or @t375 @t367) (or @t368 @t376))))) % 8.04/8.39 (define @t402 () (or @t353 @t401)) % 8.04/8.39 (define @t403 () (and (or (not (tptp.r1 @t351 @t340)) (not (tptp.r1 @t340 @t335)) @t355 @t377) @t374 @t402)) % 8.04/8.39 (define @t404 () (or @t355 @t403)) % 8.04/8.39 (define @t405 () (not @t391)) % 8.04/8.39 (define @t406 () (@list @t391)) % 8.04/8.39 (define @t407 () (not @t389)) % 8.04/8.39 (define @t408 () (not @t363)) % 8.04/8.39 (define @t409 () (@list true false)) % 8.04/8.39 (assume @p1 (not (not @t62))) % 8.04/8.39 (assume @p2 true) % 8.04/8.39 (step @p3 :rule aci_norm :args ((= @t113 @t109))) % 8.04/8.39 (step @p4 :rule cong :premises (@p3) :args (@t115)) % 8.04/8.39 (step @p5 :rule quant-merge-prenex :args ((= (forall @t8 @t116) @t115))) % 8.04/8.39 (step @p6 :rule alpha_equiv :args (@t117 (@list @t69 @t67 @t65 @t63) (@list @t6 @t120 @t119 @t118))) % 8.04/8.39 (step @p7 :rule refl :args (@t108)) % 8.04/8.39 (step @p8 :rule alpha_equiv :args (@t121 (@list @t72) @t122)) % 8.04/8.39 (step @p9 :rule alpha_equiv :args (@t123 (@list @t81 @t79 @t77 @t75) (@list @t6 @t126 @t125 @t124))) % 8.04/8.39 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7 @p6) :args (@t127)) % 8.04/8.39 (step @p11 :rule quant-miniscope-or :args ((= @t116 @t127))) % 8.04/8.39 (step @p12 :rule trans :premises (@p11 @p10)) % 8.04/8.39 (step @p13 :rule symm :premises (@p12)) % 8.04/8.39 (step @p14 :rule cong :premises (@p13) :args ((forall @t8 (or @t141 @t54 @t108 @t134)))) % 8.04/8.39 (step @p15 :rule trans :premises (@p14 @p5)) % 8.04/8.39 (step @p16 :rule trans :premises (@p15 @p4)) % 8.04/8.39 (step @p17 :rule refl :args (@t134)) % 8.04/8.39 (step @p18 :rule refl :args (@t96)) % 8.04/8.39 (step @p19 :rule alpha_equiv :args (@t39 @t142 (@list @t97))) % 8.04/8.39 (step @p20 :rule cong :premises (@p19) :args (@t143)) % 8.04/8.39 (step @p21 :rule refl :args (@t105)) % 8.04/8.39 (step @p22 :rule nary_cong :premises (@p21 @p20 @p18) :args (@t144)) % 8.04/8.39 (step @p23 :rule refl :args (@t9)) % 8.04/8.39 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t145)) % 8.04/8.39 (step @p25 :rule cong :premises (@p24) :args (@t146)) % 8.04/8.39 (step @p26 :rule cong :premises (@p25) :args (@t147)) % 8.04/8.39 (step @p27 :rule refl :args (@t54)) % 8.04/8.39 (step @p28 :rule refl :args (@t141)) % 8.04/8.39 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26 @p17) :args (@t148)) % 8.04/8.39 (step @p30 :rule cong :premises (@p29) :args ((forall @t8 @t148))) % 8.04/8.39 (step @p31 :rule trans :premises (@p30 @p16)) % 8.04/8.39 (step @p32 :rule bool-double-not-elim :args (@t148)) % 8.04/8.39 (step @p33 :rule cong :premises (@p32) :args (@t150)) % 8.04/8.39 (step @p34 :rule trans :premises (@p33 @p31)) % 8.04/8.39 (step @p35 :rule cong :premises (@p34) :args (@t151)) % 8.04/8.39 (step @p36 :rule exists-elim :args ((= (exists @t8 @t149) @t151))) % 8.04/8.39 (step @p37 :rule trans :premises (@p36 @p35)) % 8.04/8.39 (step @p38 :rule aci_norm :args ((= @t153 @t132))) % 8.04/8.39 (step @p39 :rule cong :premises (@p38) :args (@t154)) % 8.04/8.39 (step @p40 :rule quant-merge-prenex :args ((= (forall @t10 @t156) @t154))) % 8.04/8.39 (step @p41 :rule alpha_equiv :args (@t157 (@list @t120 @t119 @t118) (@list @t1 @t159 @t158))) % 8.04/8.39 (step @p42 :rule nary_cong :premises (@p23 @p41) :args (@t160)) % 8.04/8.39 (step @p43 :rule quant-miniscope-or :args ((= @t156 @t160))) % 8.04/8.39 (step @p44 :rule trans :premises (@p43 @p42)) % 8.04/8.39 (step @p45 :rule symm :premises (@p44)) % 8.04/8.39 (step @p46 :rule cong :premises (@p45) :args ((forall @t10 (or @t9 (forall @t165 @t164))))) % 8.04/8.39 (step @p47 :rule trans :premises (@p46 @p40)) % 8.04/8.39 (step @p48 :rule trans :premises (@p47 @p39)) % 8.04/8.39 (step @p49 :rule aci_norm :args ((= @t167 @t164))) % 8.04/8.39 (step @p50 :rule cong :premises (@p49) :args (@t168)) % 8.04/8.39 (step @p51 :rule quant-merge-prenex :args ((= (forall @t8 @t170) @t168))) % 8.04/8.39 (step @p52 :rule alpha_equiv :args (@t171 (@list @t159 @t158) (@list @t6 @t172))) % 8.04/8.39 (step @p53 :rule refl :args (@t7)) % 8.04/8.39 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t173)) % 8.04/8.39 (step @p55 :rule quant-miniscope-or :args ((= @t170 @t173))) % 8.04/8.39 (step @p56 :rule trans :premises (@p55 @p54)) % 8.04/8.39 (step @p57 :rule symm :premises (@p56)) % 8.04/8.39 (step @p58 :rule cong :premises (@p57) :args ((forall @t8 (or @t7 (forall @t177 @t176))))) % 8.04/8.39 (step @p59 :rule trans :premises (@p58 @p51)) % 8.04/8.39 (step @p60 :rule trans :premises (@p59 @p50)) % 8.04/8.39 (step @p61 :rule aci_norm :args ((= @t179 @t176))) % 8.04/8.39 (step @p62 :rule cong :premises (@p61) :args (@t180)) % 8.04/8.39 (step @p63 :rule quant-merge-prenex :args ((= (forall @t10 @t182) @t180))) % 8.04/8.39 (step @p64 :rule alpha_equiv :args (@t183 (@list @t172) @t142)) % 8.04/8.39 (step @p65 :rule nary_cong :premises (@p23 @p64) :args (@t184)) % 8.04/8.39 (step @p66 :rule quant-miniscope-or :args ((= @t182 @t184))) % 8.04/8.39 (step @p67 :rule trans :premises (@p66 @p65)) % 8.04/8.39 (step @p68 :rule symm :premises (@p67)) % 8.04/8.39 (step @p69 :rule cong :premises (@p68) :args (@t11)) % 8.04/8.39 (step @p70 :rule trans :premises (@p69 @p63)) % 8.04/8.39 (step @p71 :rule trans :premises (@p70 @p62)) % 8.04/8.39 (step @p72 :rule refl :args (@t7)) % 8.04/8.39 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t12)) % 8.04/8.39 (step @p74 :rule cong :premises (@p73) :args (@t13)) % 8.04/8.39 (step @p75 :rule trans :premises (@p74 @p60)) 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:rule cong :premises (@p213) :args (@t35)) % 8.04/8.39 (step @p215 :rule nary_cong :premises (@p72 @p214) :args (@t36)) % 8.04/8.39 (step @p216 :rule cong :premises (@p215) :args (@t37)) % 8.04/8.39 (step @p217 :rule trans :premises (@p216 @p158)) % 8.04/8.39 (step @p218 :rule cong :premises (@p217) :args (@t38)) % 8.04/8.39 (step @p219 :rule refl :args (@t39)) % 8.04/8.39 (step @p220 :rule aci_norm :args ((= @t281 @t214))) % 8.04/8.39 (step @p221 :rule cong :premises (@p220) :args (@t282)) % 8.04/8.39 (step @p222 :rule quant-merge-prenex :args ((= (forall @t8 @t284) @t282))) % 8.04/8.39 (step @p223 :rule alpha_equiv :args (@t285 (@list @t196 @t195) (@list @t6 @t286))) % 8.04/8.39 (step @p224 :rule nary_cong :premises (@p53 @p223) :args (@t287)) % 8.04/8.39 (step @p225 :rule quant-miniscope-or :args ((= @t284 @t287))) % 8.04/8.39 (step @p226 :rule trans :premises (@p225 @p224)) % 8.04/8.39 (step @p227 :rule symm :premises (@p226)) % 8.04/8.39 (step @p228 :rule cong :premises (@p227) 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:rule symm :premises (@p282)) % 8.04/8.39 (step @p284 :rule cong :premises (@p283) :args ((forall @t8 (or @t7 (forall @t326 @t325))))) % 8.04/8.39 (step @p285 :rule trans :premises (@p284 @p278)) % 8.04/8.39 (step @p286 :rule trans :premises (@p285 @p277)) % 8.04/8.39 (step @p287 :rule aci_norm :args ((= @t328 @t325))) % 8.04/8.39 (step @p288 :rule cong :premises (@p287) :args (@t329)) % 8.04/8.39 (step @p289 :rule quant-merge-prenex :args ((= (forall @t10 @t331) @t329))) % 8.04/8.39 (step @p290 :rule alpha_equiv :args (@t332 (@list @t321) @t142)) % 8.04/8.39 (step @p291 :rule nary_cong :premises (@p23 @p290) :args (@t333)) % 8.04/8.39 (step @p292 :rule quant-miniscope-or :args ((= @t331 @t333))) % 8.04/8.39 (step @p293 :rule trans :premises (@p292 @p291)) % 8.04/8.39 (step @p294 :rule symm :premises (@p293)) % 8.04/8.39 (step @p295 :rule cong :premises (@p294) :args (@t55)) % 8.04/8.39 (step @p296 :rule trans :premises (@p295 @p289)) % 8.04/8.39 (step @p297 :rule trans :premises (@p296 @p288)) % 8.04/8.39 (step @p298 :rule nary_cong :premises (@p72 @p297) :args (@t56)) % 8.04/8.39 (step @p299 :rule cong :premises (@p298) :args (@t57)) % 8.04/8.39 (step @p300 :rule trans :premises (@p299 @p286)) % 8.04/8.39 (step @p301 :rule nary_cong :premises (@p76 @p300) :args (@t58)) % 8.04/8.39 (step @p302 :rule cong :premises (@p301) :args (@t59)) % 8.04/8.39 (step @p303 :rule trans :premises (@p302 @p275)) % 8.04/8.39 (step @p304 :rule nary_cong :premises (@p303 @p264 @p263 @p79) :args (@t60)) % 8.04/8.39 (step @p305 :rule cong :premises (@p304) :args (@t61)) % 8.04/8.39 (step @p306 :rule cong :premises (@p305) :args (@t62)) % 8.04/8.39 (step @p307 :rule trans :premises (@p306 @p37)) % 8.04/8.39 (step @p308 :rule bool-double-not-elim :args (@t62)) % 8.04/8.39 (step @p309 :rule trans :premises (@p308 @p307)) % 8.04/8.39 (step @p310 :rule eq_resolve :premises (@p1 @p309)) % 8.04/8.39 (step @p311 :rule skolemize :premises (@p310)) % 8.04/8.39 (step @p312 :rule bool-double-not-elim :args (@t336)) % 8.04/8.39 (step @p313 :rule refl :args (@t357)) % 8.04/8.39 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or @t357 (not @t356)))) % 8.04/8.39 (step @p315 :rule cnf_or_neg :args (@t357 0)) % 8.04/8.39 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 8.04/8.39 (step @p317 :rule reordering :premises (@p316) :args ((or @t336 @t357))) % 8.04/8.39 (step @p318 :rule chain_m_resolution :premises (@p317 @p311) :args (@t336 @t358 @t359)) % 8.04/8.39 (step @p319 :rule instantiate :premises (@p318) :args ((@list @t351 @t348 @t335 @t351 @t348 @t335 @t351 @t345 @t342))) % 8.04/8.39 (step @p320 :rule bool-double-not-elim :args (@t354)) % 8.04/8.39 (step @p321 :rule nary_cong :premises (@p313 @p320) :args ((or @t357 (not @t355)))) % 8.04/8.39 (step @p322 :rule cnf_or_neg :args (@t357 1)) % 8.04/8.39 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 8.04/8.39 (step @p324 :rule reordering :premises (@p323) :args ((or @t354 @t357))) % 8.04/8.39 (step @p325 :rule chain_m_resolution :premises (@p324 @p311) :args (@t354 @t358 @t359)) % 8.04/8.39 (step @p326 :rule cnf_or_pos :args (@t379)) % 8.04/8.39 (step @p327 :rule reordering :premises (@p326) :args ((or @t355 @t378 (not @t379)))) % 8.04/8.39 (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p319) :args (@t378 @t380 (@list @t354 @t379))) % 8.04/8.39 (step @p329 :rule cnf_and_pos :args (@t378 2)) % 8.04/8.39 (step @p330 :rule reordering :premises (@p329) :args ((or @t373 (not @t378)))) % 8.04/8.39 (step @p331 :rule chain_m_resolution :premises (@p330 @p328) :args (@t373 @t381 (@list @t378))) % 8.04/8.39 (step @p332 :rule bool-double-not-elim :args (@t352)) % 8.04/8.39 (step @p333 :rule nary_cong :premises (@p313 @p332) :args ((or @t357 (not @t353)))) % 8.04/8.39 (step @p334 :rule cnf_or_neg :args (@t357 2)) % 8.04/8.39 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 8.04/8.39 (step @p336 :rule reordering :premises (@p335) :args ((or @t352 @t357))) % 8.04/8.39 (step @p337 :rule chain_m_resolution :premises (@p336 @p311) :args (@t352 @t358 @t359)) % 8.04/8.39 (step @p338 :rule cnf_or_pos :args (@t373)) % 8.04/8.39 (step @p339 :rule reordering :premises (@p338) :args ((or @t353 @t372 (not @t373)))) % 8.04/8.39 (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p331) :args (@t372 @t380 (@list @t352 @t373))) % 8.04/8.39 (step @p341 :rule cnf_and_pos :args (@t372 2)) % 8.04/8.39 (step @p342 :rule reordering :premises (@p341) :args ((or @t365 (not @t372)))) % 8.04/8.39 (step @p343 :rule chain_m_resolution :premises (@p342 @p340) :args (@t365 @t381 (@list @t372))) % 8.04/8.39 (step @p344 :rule bool-double-not-elim :args (@t346)) % 8.04/8.39 (step @p345 :rule nary_cong :premises (@p313 @p344) :args ((or @t357 (not @t347)))) % 8.04/8.39 (step @p346 :rule cnf_or_neg :args (@t357 4)) % 8.04/8.39 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 8.04/8.39 (step @p348 :rule reordering :premises (@p347) :args ((or @t346 @t357))) % 8.04/8.39 (step @p349 :rule chain_m_resolution :premises (@p348 @p311) :args (@t346 @t358 @t359)) % 8.04/8.39 (step @p350 :rule bool-double-not-elim :args (@t349)) % 8.04/8.39 (step @p351 :rule nary_cong :premises (@p313 @p350) :args ((or @t357 (not @t350)))) % 8.04/8.39 (step @p352 :rule cnf_or_neg :args (@t357 3)) % 8.04/8.39 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 8.04/8.39 (step @p354 :rule reordering :premises (@p353) :args ((or @t349 @t357))) % 8.04/8.39 (step @p355 :rule chain_m_resolution :premises (@p354 @p311) :args (@t349 @t358 @t359)) % 8.04/8.39 (step @p356 :rule cnf_or_pos :args (@t365)) % 8.04/8.39 (step @p357 :rule reordering :premises (@p356) :args ((or @t350 @t347 @t364 (not @t365)))) % 8.04/8.39 (step @p358 :rule chain_m_resolution :premises (@p357 @p355 @p349 @p343) :args (@t364 @t382 (@list @t349 @t346 @t365))) % 8.04/8.39 (step @p359 :rule cnf_and_pos :args (@t364 1)) % 8.04/8.39 (step @p360 :rule reordering :premises (@p359) :args ((or @t362 @t383))) % 8.04/8.39 (step @p361 :rule chain_m_resolution :premises (@p360 @p358) :args (@t362 @t381 @t384)) % 8.04/8.39 (step @p362 :rule instantiate :premises (@p318) :args ((@list @t351 @t348 @t345 @t342 @t345 @t345 @t342 @t342 @t338))) % 8.04/8.39 (step @p363 :rule cnf_or_pos :args (@t397)) % 8.04/8.39 (step @p364 :rule reordering :premises (@p363) :args ((or @t355 @t396 (not @t397)))) % 8.04/8.39 (step @p365 :rule chain_m_resolution :premises (@p364 @p325 @p362) :args (@t396 @t380 (@list @t354 @t397))) % 8.04/8.39 (step @p366 :rule cnf_and_pos :args (@t396 0)) % 8.04/8.39 (step @p367 :rule reordering :premises (@p366) :args ((or @t395 (not @t396)))) % 8.04/8.39 (step @p368 :rule chain_m_resolution :premises (@p367 @p365) :args (@t395 @t381 (@list @t396))) % 8.04/8.39 (step @p369 :rule cnf_or_pos :args (@t395)) % 8.04/8.39 (step @p370 :rule reordering :premises (@p369) :args ((or @t353 @t350 @t347 @t394 (not @t395)))) % 8.04/8.39 (step @p371 :rule chain_m_resolution :premises (@p370 @p337 @p355 @p349 @p368) :args (@t394 (@list false false false false) (@list @t352 @t349 @t346 @t395))) % 8.04/8.39 (step @p372 :rule cnf_and_pos :args (@t394 0)) % 8.04/8.39 (step @p373 :rule reordering :premises (@p372) :args ((or @t393 @t398))) % 8.04/8.39 (step @p374 :rule chain_m_resolution :premises (@p373 @p371) :args (@t393 @t381 @t399)) % 8.04/8.39 (step @p375 :rule cnf_and_pos :args (@t364 0)) % 8.04/8.39 (step @p376 :rule reordering :premises (@p375) :args ((or @t363 @t383))) % 8.04/8.39 (step @p377 :rule chain_m_resolution :premises (@p376 @p358) :args (@t363 @t381 @t384)) % 8.04/8.39 (step @p378 :rule instantiate :premises (@p318) :args ((@list @t351 @t340 @t335 @t351 @t348 @t345 @t342 @t335 @t351))) % 8.04/8.39 (step @p379 :rule cnf_or_pos :args (@t404)) % 8.04/8.39 (step @p380 :rule reordering :premises (@p379) :args ((or @t355 @t403 (not @t404)))) % 8.04/8.39 (step @p381 :rule chain_m_resolution :premises (@p380 @p325 @p378) :args (@t403 @t380 (@list @t354 @t404))) % 8.04/8.39 (step @p382 :rule cnf_and_pos :args (@t403 2)) % 8.04/8.39 (step @p383 :rule reordering :premises (@p382) :args ((or @t402 (not @t403)))) % 8.04/8.39 (step @p384 :rule chain_m_resolution :premises (@p383 @p381) :args (@t402 @t381 (@list @t403))) % 8.04/8.39 (step @p385 :rule cnf_or_pos :args (@t402)) % 8.04/8.39 (step @p386 :rule reordering :premises (@p385) :args ((or @t353 @t401 (not @t402)))) % 8.04/8.39 (step @p387 :rule chain_m_resolution :premises (@p386 @p337 @p384) :args (@t401 @t380 (@list @t352 @t402))) % 8.04/8.39 (step @p388 :rule cnf_and_pos :args (@t401 0)) % 8.04/8.39 (step @p389 :rule reordering :premises (@p388) :args ((or @t400 (not @t401)))) % 8.04/8.39 (step @p390 :rule chain_m_resolution :premises (@p389 @p387) :args (@t400 @t381 (@list @t401))) % 8.04/8.39 (step @p391 :rule cnf_or_pos :args (@t400)) % 8.04/8.39 (step @p392 :rule reordering :premises (@p391) :args ((or @t350 @t347 @t391 (not @t400)))) % 8.04/8.39 (step @p393 :rule chain_m_resolution :premises (@p392 @p355 @p349 @p390) :args (@t391 @t382 (@list @t349 @t346 @t400))) % 8.04/8.39 (step @p394 :rule cnf_and_pos :args (@t391 1)) % 8.04/8.39 (step @p395 :rule reordering :premises (@p394) :args ((or @t389 @t405))) % 8.04/8.39 (step @p396 :rule chain_m_resolution :premises (@p395 @p393) :args (@t389 @t381 @t406)) % 8.04/8.39 (step @p397 :rule cnf_and_pos :args (@t394 1)) % 8.04/8.39 (step @p398 :rule reordering :premises (@p397) :args ((or @t392 @t398))) % 8.04/8.39 (step @p399 :rule chain_m_resolution :premises (@p398 @p371) :args (@t392 @t381 @t399)) % 8.04/8.39 (step @p400 :rule cnf_or_pos :args (@t392)) % 8.04/8.39 (step @p401 :rule reordering :premises (@p400) :args ((or @t361 @t388 (not @t392)))) % 8.04/8.39 (step @p402 :rule cnf_or_pos :args (@t389)) % 8.04/8.39 (step @p403 :rule reordering :premises (@p402) :args ((or @t344 @t388 @t407))) % 8.04/8.39 (step @p404 :rule cnf_or_pos :args (@t363)) % 8.04/8.39 (step @p405 :rule reordering :premises (@p404) :args ((or @t343 @t360 @t408))) % 8.04/8.39 (step @p406 :rule chain_m_resolution :premises (@p405 @p403 @p401 @p399) :args ((or @t388 @t407 @t408) (@list true true false) (@list @t343 @t360 @t392))) % 8.04/8.39 (step @p407 :rule chain_m_resolution :premises (@p406 @p396 @p377) :args (@t388 @t380 (@list @t389 @t363))) % 8.04/8.39 (step @p408 :rule cnf_or_pos :args (@t393)) % 8.04/8.39 (step @p409 :rule reordering :premises (@p408) :args ((or @t387 @t360 (not @t393)))) % 8.04/8.39 (step @p410 :rule chain_m_resolution :premises (@p409 @p407 @p374) :args (@t360 @t409 (@list @t387 @t393))) % 8.04/8.39 (step @p411 :rule cnf_and_pos :args (@t391 0)) % 8.04/8.39 (step @p412 :rule reordering :premises (@p411) :args ((or @t390 @t405))) % 0.21/8.42 (step @p413 :rule chain_m_resolution :premises (@p412 @p393) :args (@t390 @t381 @t406)) % 0.21/8.42 (step @p414 :rule cnf_or_pos :args (@t390)) % 0.21/8.42 (step @p415 :rule reordering :premises (@p414) :args ((or @t343 @t387 (not @t390)))) % 0.21/8.42 (step @p416 :rule chain_m_resolution :premises (@p415 @p407 @p413) :args (@t343 @t409 (@list @t387 @t390))) % 0.21/8.42 (step @p417 :rule cnf_or_pos :args (@t362)) % 0.21/8.42 (step @p418 :rule reordering :premises (@p417) :args ((or @t344 @t361 (not @t362)))) % 0.21/8.42 (step @p419 false :rule chain_m_resolution :premises (@p418 @p416 @p410 @p361) :args (false @t382 (@list @t343 @t360 @t362))) % 0.21/8.42 ) % 0.21/8.42 % SZS output end Proof % 0.21/8.42 % cvc5 exiting %------------------------------------------------------------------------------