%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL658+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 11:23:22 AM UTC 2026 % Result : Theorem 127.19s 128.61s % Output : Proof 127.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL658+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n026.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Fri Sep 4 18:14:55 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.44 %----Proving TF0_NAR, FOF, or CNF % 127.19/128.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 127.19/128.61 --- Run --no-e-matching --full-saturate-quant at 6... % 127.19/128.61 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 127.19/128.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 127.19/128.61 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 127.19/128.61 --- Run --trigger-sel=max --full-saturate-quant at 15... % 127.19/128.61 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 127.19/128.61 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.19/128.61 --- Run --prenex-quant=none --full-saturate-quant at 30... % 127.19/128.61 % SZS status Theorem % 127.19/128.61 % SZS output start Proof % 127.19/128.61 ( % 127.19/128.61 (declare-sort $$unsorted 0) % 127.19/128.61 (declare-const tptp.p1 (-> $$unsorted Bool)) % 127.19/128.61 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 127.19/128.61 (define @t1 () (@var "X" $$unsorted)) % 127.19/128.61 (define @t2 () (@list @t1)) % 127.19/128.61 (define @t3 () (tptp.p1 @t1)) % 127.19/128.61 (define @t4 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t5 () (not (tptp.r1 @t4 @t1))) % 127.19/128.61 (define @t6 () (forall @t2 (or @t5 @t3))) % 127.19/128.61 (define @t7 () (not @t6)) % 127.19/128.61 (define @t8 () (tptp.p1 @t4)) % 127.19/128.61 (define @t9 () (not (tptp.r1 @t1 @t4))) % 127.19/128.61 (define @t10 () (@list @t4)) % 127.19/128.61 (define @t11 () (forall @t10 (or @t9 @t8))) % 127.19/128.61 (define @t12 () (or @t5 @t11)) % 127.19/128.61 (define @t13 () (forall @t2 @t12)) % 127.19/128.61 (define @t14 () (or @t9 @t13 @t7)) % 127.19/128.61 (define @t15 () (forall @t10 @t14)) % 127.19/128.61 (define @t16 () (not @t11)) % 127.19/128.61 (define @t17 () (or @t9 @t6)) % 127.19/128.61 (define @t18 () (forall @t10 @t17)) % 127.19/128.61 (define @t19 () (or @t5 @t18 @t16)) % 127.19/128.61 (define @t20 () (forall @t2 @t19)) % 127.19/128.61 (define @t21 () (or @t9 @t20)) % 127.19/128.61 (define @t22 () (forall @t10 @t21)) % 127.19/128.61 (define @t23 () (not @t8)) % 127.19/128.61 (define @t24 () (or @t9 @t6 @t23)) % 127.19/128.61 (define @t25 () (forall @t10 @t24)) % 127.19/128.61 (define @t26 () (not @t25)) % 127.19/128.61 (define @t27 () (or @t5 @t3 @t26)) % 127.19/128.61 (define @t28 () (forall @t2 @t27)) % 127.19/128.61 (define @t29 () (not @t28)) % 127.19/128.61 (define @t30 () (or @t5 @t16)) % 127.19/128.61 (define @t31 () (forall @t2 @t30)) % 127.19/128.61 (define @t32 () (or @t9 @t6 @t31 @t29)) % 127.19/128.61 (define @t33 () (forall @t10 @t32)) % 127.19/128.61 (define @t34 () (or @t5 @t33)) % 127.19/128.61 (define @t35 () (forall @t2 @t34)) % 127.19/128.61 (define @t36 () (or @t9 @t35)) % 127.19/128.61 (define @t37 () (forall @t10 @t36)) % 127.19/128.61 (define @t38 () (not @t37)) % 127.19/128.61 (define @t39 () (and @t38 @t22 @t15)) % 127.19/128.61 (define @t40 () (not @t39)) % 127.19/128.61 (define @t41 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t42 () (not (tptp.p1 @t41))) % 127.19/128.61 (define @t43 () (forall @t2 (or (not (tptp.r1 @t41 @t1)) @t3))) % 127.19/128.61 (define @t44 () (not (tptp.r1 @t1 @t41))) % 127.19/128.61 (define @t45 () (or @t44 @t43 @t42)) % 127.19/128.61 (define @t46 () (@list @t41)) % 127.19/128.61 (define @t47 () (forall @t46 @t45)) % 127.19/128.61 (define @t48 () (not @t47)) % 127.19/128.61 (define @t49 () (or @t5 @t3 @t48)) % 127.19/128.61 (define @t50 () (forall @t2 @t49)) % 127.19/128.61 (define @t51 () (not @t50)) % 127.19/128.61 (define @t52 () (not @t3)) % 127.19/128.61 (define @t53 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t54 () (tptp.p1 @t53)) % 127.19/128.61 (define @t55 () (@list @t53)) % 127.19/128.61 (define @t56 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t57 () (forall @t2 (or (not (tptp.r1 @t56 @t1)) (forall @t55 (or (not (tptp.r1 @t1 @t53)) @t54)) @t52))) % 127.19/128.61 (define @t58 () (not @t57)) % 127.19/128.61 (define @t59 () (tptp.p1 @t56)) % 127.19/128.61 (define @t60 () (not (tptp.r1 @t1 @t56))) % 127.19/128.61 (define @t61 () (or @t60 @t59 @t58)) % 127.19/128.61 (define @t62 () (@list @t56)) % 127.19/128.61 (define @t63 () (forall @t62 @t61)) % 127.19/128.61 (define @t64 () (or @t5 @t63)) % 127.19/128.61 (define @t65 () (forall @t2 @t64)) % 127.19/128.61 (define @t66 () (or @t65 @t51)) % 127.19/128.61 (define @t67 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t68 () (tptp.p1 @t67)) % 127.19/128.61 (define @t69 () (@list @t67)) % 127.19/128.61 (define @t70 () (not (forall @t69 (or (not (tptp.r1 @t1 @t67)) @t68)))) % 127.19/128.61 (define @t71 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t72 () (forall @t2 (or (not (tptp.r1 @t71 @t1)) @t3))) % 127.19/128.61 (define @t73 () (not (tptp.r1 @t1 @t71))) % 127.19/128.61 (define @t74 () (or @t73 @t72)) % 127.19/128.61 (define @t75 () (@list @t71)) % 127.19/128.61 (define @t76 () (forall @t75 @t74)) % 127.19/128.61 (define @t77 () (or @t5 @t76 @t70)) % 127.19/128.61 (define @t78 () (forall @t2 @t77)) % 127.19/128.61 (define @t79 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t80 () (not (tptp.p1 @t79))) % 127.19/128.61 (define @t81 () (forall @t2 (or (not (tptp.r1 @t79 @t1)) @t3))) % 127.19/128.61 (define @t82 () (not (tptp.r1 @t1 @t79))) % 127.19/128.61 (define @t83 () (or @t82 @t81 @t80)) % 127.19/128.61 (define @t84 () (@list @t79)) % 127.19/128.61 (define @t85 () (forall @t84 @t83)) % 127.19/128.61 (define @t86 () (not @t85)) % 127.19/128.61 (define @t87 () (or @t5 @t3 @t86)) % 127.19/128.61 (define @t88 () (forall @t2 @t87)) % 127.19/128.61 (define @t89 () (not @t88)) % 127.19/128.61 (define @t90 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t91 () (tptp.p1 @t90)) % 127.19/128.61 (define @t92 () (@list @t90)) % 127.19/128.61 (define @t93 () (forall @t2 (or @t5 (not (forall @t92 (or (not (tptp.r1 @t1 @t90)) @t91)))))) % 127.19/128.61 (define @t94 () (or @t8 @t93 @t89)) % 127.19/128.61 (define @t95 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t96 () (tptp.p1 @t95)) % 127.19/128.61 (define @t97 () (not @t96)) % 127.19/128.61 (define @t98 () (not (tptp.r1 @t95 @t1))) % 127.19/128.61 (define @t99 () (forall @t2 (or @t98 @t3))) % 127.19/128.61 (define @t100 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t101 () (tptp.p1 @t100)) % 127.19/128.61 (define @t102 () (@list @t100)) % 127.19/128.61 (define @t103 () (forall @t2 (or @t98 (forall @t102 (or (not (tptp.r1 @t1 @t100)) @t101)) @t52))) % 127.19/128.61 (define @t104 () (not (tptp.r1 @t1 @t95))) % 127.19/128.61 (define @t105 () (or @t104 @t103 (not (or @t99 @t97)))) % 127.19/128.61 (define @t106 () (@list @t95)) % 127.19/128.61 (define @t107 () (forall @t106 @t105)) % 127.19/128.61 (define @t108 () (not @t107)) % 127.19/128.61 (define @t109 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t110 () (tptp.p1 @t109)) % 127.19/128.61 (define @t111 () (@list @t109)) % 127.19/128.61 (define @t112 () (forall @t111 (or (not (tptp.r1 @t1 @t109)) @t110))) % 127.19/128.61 (define @t113 () (or @t5 @t112 @t52 @t108)) % 127.19/128.61 (define @t114 () (forall @t2 @t113)) % 127.19/128.61 (define @t115 () (not @t114)) % 127.19/128.61 (define @t116 () (@var "Y" $$unsorted)) % 127.19/128.61 (define @t117 () (not (tptp.p1 @t116))) % 127.19/128.61 (define @t118 () (forall @t2 (or (not (tptp.r1 @t116 @t1)) @t3))) % 127.19/128.61 (define @t119 () (not (tptp.r1 @t1 @t116))) % 127.19/128.61 (define @t120 () (or @t119 @t118 @t117)) % 127.19/128.61 (define @t121 () (@list @t116)) % 127.19/128.61 (define @t122 () (forall @t121 @t120)) % 127.19/128.61 (define @t123 () (not @t122)) % 127.19/128.61 (define @t124 () (or @t5 @t123)) % 127.19/128.61 (define @t125 () (forall @t2 @t124)) % 127.19/128.61 (define @t126 () (or @t6 @t23 @t125 @t115)) % 127.19/128.61 (define @t127 () (and @t126 @t94 @t78 @t66)) % 127.19/128.61 (define @t128 () (or @t9 @t127)) % 127.19/128.61 (define @t129 () (forall @t10 @t128)) % 127.19/128.61 (define @t130 () (or @t5 @t129)) % 127.19/128.61 (define @t131 () (forall @t2 @t130)) % 127.19/128.61 (define @t132 () (or @t9 @t131)) % 127.19/128.61 (define @t133 () (forall @t10 @t132)) % 127.19/128.61 (define @t134 () (not @t133)) % 127.19/128.61 (define @t135 () (or @t5 @t22)) % 127.19/128.61 (define @t136 () (forall @t2 @t135)) % 127.19/128.61 (define @t137 () (or @t9 @t136)) % 127.19/128.61 (define @t138 () (forall @t10 @t137)) % 127.19/128.61 (define @t139 () (not @t138)) % 127.19/128.61 (define @t140 () (or @t139 @t134 @t40)) % 127.19/128.61 (define @t141 () (not @t140)) % 127.19/128.61 (define @t142 () (exists @t2 @t141)) % 127.19/128.61 (define @t143 () (@var "BOUND_VARIABLE_8144" $$unsorted)) % 127.19/128.61 (define @t144 () (not (forall (@list @t143) (or (not (tptp.r1 @t4 @t143)) (tptp.p1 @t143))))) % 127.19/128.61 (define @t145 () (@var "BOUND_VARIABLE_8123" $$unsorted)) % 127.19/128.61 (define @t146 () (tptp.p1 @t145)) % 127.19/128.61 (define @t147 () (@var "BOUND_VARIABLE_8153" $$unsorted)) % 127.19/128.61 (define @t148 () (@list @t145)) % 127.19/128.61 (define @t149 () (forall (@list @t147) (or (not (tptp.r1 @t4 @t147)) (forall @t148 (or (not (tptp.r1 @t147 @t145)) @t146))))) % 127.19/128.61 (define @t150 () (forall @t10 (or @t9 @t149 @t144))) % 127.19/128.61 (define @t151 () (not @t150)) % 127.19/128.61 (define @t152 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 127.19/128.61 (define @t153 () (tptp.p1 @t152)) % 127.19/128.61 (define @t154 () (@var "BOUND_VARIABLE_8166" $$unsorted)) % 127.19/128.61 (define @t155 () (@list @t152)) % 127.19/128.61 (define @t156 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 127.19/128.61 (define @t157 () (tptp.p1 @t156)) % 127.19/128.61 (define @t158 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 127.19/128.61 (define @t159 () (@list @t156)) % 127.19/128.61 (define @t160 () (forall @t159 (or (not (tptp.r1 @t158 @t156)) @t157))) % 127.19/128.61 (define @t161 () (@list @t158)) % 127.19/128.61 (define @t162 () (forall (@list @t154) (or (not (tptp.r1 @t4 @t154)) (forall @t161 (or (not (tptp.r1 @t154 @t158)) @t160)) (not (forall @t155 (or (not (tptp.r1 @t154 @t152)) @t153)))))) % 127.19/128.61 (define @t163 () (forall @t10 (or @t9 @t162))) % 127.19/128.61 (define @t164 () (not @t163)) % 127.19/128.61 (define @t165 () (@var "BOUND_VARIABLE_8026" $$unsorted)) % 127.19/128.61 (define @t166 () (not (tptp.p1 @t165))) % 127.19/128.61 (define @t167 () (@var "BOUND_VARIABLE_8010" $$unsorted)) % 127.19/128.61 (define @t168 () (tptp.p1 @t167)) % 127.19/128.61 (define @t169 () (@list @t167)) % 127.19/128.61 (define @t170 () (forall @t169 (or (not (tptp.r1 @t165 @t167)) @t168))) % 127.19/128.61 (define @t171 () (@var "BOUND_VARIABLE_8058" $$unsorted)) % 127.19/128.61 (define @t172 () (@list @t165)) % 127.19/128.61 (define @t173 () (not (forall @t172 (or (not (tptp.r1 @t171 @t165)) @t170 @t166)))) % 127.19/128.61 (define @t174 () (tptp.p1 @t171)) % 127.19/128.61 (define @t175 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 127.19/128.61 (define @t176 () (@list @t171)) % 127.19/128.61 (define @t177 () (not (forall @t176 (or (not (tptp.r1 @t175 @t171)) @t174 @t173)))) % 127.19/128.61 (define @t178 () (@var "BOUND_VARIABLE_8043" $$unsorted)) % 127.19/128.61 (define @t179 () (tptp.p1 @t178)) % 127.19/128.61 (define @t180 () (@var "BOUND_VARIABLE_8072" $$unsorted)) % 127.19/128.61 (define @t181 () (@list @t178)) % 127.19/128.61 (define @t182 () (not (forall @t181 (or (not (tptp.r1 @t180 @t178)) @t179)))) % 127.19/128.61 (define @t183 () (@list @t180)) % 127.19/128.61 (define @t184 () (forall @t183 (or (not (tptp.r1 @t175 @t180)) @t182))) % 127.19/128.61 (define @t185 () (@var "BOUND_VARIABLE_8084" $$unsorted)) % 127.19/128.61 (define @t186 () (tptp.p1 @t185)) % 127.19/128.61 (define @t187 () (@list @t185)) % 127.19/128.61 (define @t188 () (forall @t187 (or (not (tptp.r1 @t175 @t185)) @t186))) % 127.19/128.61 (define @t189 () (@var "BOUND_VARIABLE_8184" $$unsorted)) % 127.19/128.61 (define @t190 () (@list @t175)) % 127.19/128.61 (define @t191 () (forall @t190 (or (not (tptp.r1 @t189 @t175)) @t188 @t184 @t177))) % 127.19/128.61 (define @t192 () (@list @t189)) % 127.19/128.61 (define @t193 () (forall @t192 (or (not (tptp.r1 @t4 @t189)) @t191))) % 127.19/128.61 (define @t194 () (forall @t10 (or @t9 @t193))) % 127.19/128.61 (define @t195 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 127.19/128.61 (define @t196 () (forall (@list @t195) (or (not (tptp.r1 @t41 @t195)) (tptp.p1 @t195)))) % 127.19/128.61 (define @t197 () (@var "BOUND_VARIABLE_7841" $$unsorted)) % 127.19/128.61 (define @t198 () (not (forall @t46 (or (not (tptp.r1 @t197 @t41)) @t196 @t42)))) % 127.19/128.61 (define @t199 () (tptp.p1 @t197)) % 127.19/128.61 (define @t200 () (@var "BOUND_VARIABLE_7957" $$unsorted)) % 127.19/128.61 (define @t201 () (@list @t197)) % 127.19/128.61 (define @t202 () (@var "BOUND_VARIABLE_7803" $$unsorted)) % 127.19/128.61 (define @t203 () (not (forall (@list @t202) (or (not (tptp.r1 @t56 @t202)) (forall @t55 (or (not (tptp.r1 @t202 @t53)) @t54)) (not (tptp.p1 @t202)))))) % 127.19/128.61 (define @t204 () (@var "BOUND_VARIABLE_7855" $$unsorted)) % 127.19/128.61 (define @t205 () (forall @t62 (or (not (tptp.r1 @t204 @t56)) @t59 @t203))) % 127.19/128.61 (define @t206 () (@list @t204)) % 127.19/128.61 (define @t207 () (@var "BOUND_VARIABLE_7867" $$unsorted)) % 127.19/128.61 (define @t208 () (not (forall @t69 (or (not (tptp.r1 @t207 @t67)) @t68)))) % 127.19/128.61 (define @t209 () (@var "BOUND_VARIABLE_7791" $$unsorted)) % 127.19/128.61 (define @t210 () (forall (@list @t209) (or (not (tptp.r1 @t71 @t209)) (tptp.p1 @t209)))) % 127.19/128.61 (define @t211 () (forall @t75 (or (not (tptp.r1 @t207 @t71)) @t210))) % 127.19/128.61 (define @t212 () (@list @t207)) % 127.19/128.61 (define @t213 () (@var "BOUND_VARIABLE_7776" $$unsorted)) % 127.19/128.61 (define @t214 () (forall (@list @t213) (or (not (tptp.r1 @t79 @t213)) (tptp.p1 @t213)))) % 127.19/128.61 (define @t215 () (@var "BOUND_VARIABLE_7883" $$unsorted)) % 127.19/128.61 (define @t216 () (not (forall @t84 (or (not (tptp.r1 @t215 @t79)) @t214 @t80)))) % 127.19/128.61 (define @t217 () (tptp.p1 @t215)) % 127.19/128.61 (define @t218 () (@list @t215)) % 127.19/128.61 (define @t219 () (@var "BOUND_VARIABLE_7897" $$unsorted)) % 127.19/128.61 (define @t220 () (not (forall @t92 (or (not (tptp.r1 @t219 @t90)) @t91)))) % 127.19/128.61 (define @t221 () (@list @t219)) % 127.19/128.61 (define @t222 () (tptp.p1 @t200)) % 127.19/128.61 (define @t223 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 127.19/128.61 (define @t224 () (tptp.p1 @t223)) % 127.19/128.61 (define @t225 () (@list @t223)) % 127.19/128.61 (define @t226 () (and (not (forall @t225 (or (not (tptp.r1 @t95 @t223)) @t224))) @t96)) % 127.19/128.61 (define @t227 () (@var "BOUND_VARIABLE_7756" $$unsorted)) % 127.19/128.61 (define @t228 () (not (tptp.p1 @t227))) % 127.19/128.61 (define @t229 () (forall @t102 (or (not (tptp.r1 @t227 @t100)) @t101))) % 127.19/128.61 (define @t230 () (@list @t227)) % 127.19/128.61 (define @t231 () (forall @t230 (or (not (tptp.r1 @t95 @t227)) @t229 @t228))) % 127.19/128.61 (define @t232 () (@var "BOUND_VARIABLE_7910" $$unsorted)) % 127.19/128.61 (define @t233 () (not (forall @t106 (or (not (tptp.r1 @t232 @t95)) @t231 @t226)))) % 127.19/128.61 (define @t234 () (not (tptp.p1 @t232))) % 127.19/128.61 (define @t235 () (forall @t111 (or (not (tptp.r1 @t232 @t109)) @t110))) % 127.19/128.61 (define @t236 () (@list @t232)) % 127.19/128.61 (define @t237 () (@var "BOUND_VARIABLE_7726" $$unsorted)) % 127.19/128.61 (define @t238 () (forall (@list @t237) (or (not (tptp.r1 @t116 @t237)) (tptp.p1 @t237)))) % 127.19/128.61 (define @t239 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 127.19/128.61 (define @t240 () (not (forall @t121 (or (not (tptp.r1 @t239 @t116)) @t238 @t117)))) % 127.19/128.61 (define @t241 () (@list @t239)) % 127.19/128.61 (define @t242 () (@var "BOUND_VARIABLE_7941" $$unsorted)) % 127.19/128.61 (define @t243 () (tptp.p1 @t242)) % 127.19/128.61 (define @t244 () (@list @t242)) % 127.19/128.61 (define @t245 () (and (or (forall @t244 (or (not (tptp.r1 @t200 @t242)) @t243)) (not @t222) (forall @t241 (or (not (tptp.r1 @t200 @t239)) @t240)) (not (forall @t236 (or (not (tptp.r1 @t200 @t232)) @t235 @t234 @t233)))) (or @t222 (forall @t221 (or (not (tptp.r1 @t200 @t219)) @t220)) (not (forall @t218 (or (not (tptp.r1 @t200 @t215)) @t217 @t216)))) (forall @t212 (or (not (tptp.r1 @t200 @t207)) @t211 @t208)) (or (forall @t206 (or (not (tptp.r1 @t200 @t204)) @t205)) (not (forall @t201 (or (not (tptp.r1 @t200 @t197)) @t199 @t198)))))) % 127.19/128.61 (define @t246 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 127.19/128.61 (define @t247 () (@list @t200)) % 127.19/128.61 (define @t248 () (forall @t247 (or (not (tptp.r1 @t246 @t200)) @t245))) % 127.19/128.61 (define @t249 () (@list @t246)) % 127.19/128.61 (define @t250 () (forall @t249 (or (not (tptp.r1 @t4 @t246)) @t248))) % 127.19/128.61 (define @t251 () (not (forall @t10 (or @t9 @t250)))) % 127.19/128.61 (define @t252 () (@var "BOUND_VARIABLE_7688" $$unsorted)) % 127.19/128.61 (define @t253 () (not (forall @t155 (or (not (tptp.r1 @t252 @t152)) @t153)))) % 127.19/128.61 (define @t254 () (forall @t161 (or (not (tptp.r1 @t252 @t158)) @t160))) % 127.19/128.61 (define @t255 () (@var "BOUND_VARIABLE_7710" $$unsorted)) % 127.19/128.61 (define @t256 () (@list @t252)) % 127.19/128.61 (define @t257 () (forall @t256 (or (not (tptp.r1 @t255 @t252)) @t254 @t253))) % 127.19/128.61 (define @t258 () (@var "BOUND_VARIABLE_8214" $$unsorted)) % 127.19/128.61 (define @t259 () (@list @t255)) % 127.19/128.61 (define @t260 () (forall @t259 (or (not (tptp.r1 @t258 @t255)) @t257))) % 127.19/128.61 (define @t261 () (@list @t258)) % 127.19/128.61 (define @t262 () (forall @t261 (or (not (tptp.r1 @t4 @t258)) @t260))) % 127.19/128.61 (define @t263 () (not (forall @t10 (or @t9 @t262)))) % 127.19/128.61 (define @t264 () (or @t263 @t251 @t194 @t164 @t151)) % 127.19/128.61 (define @t265 () (not @t194)) % 127.19/128.61 (define @t266 () (not @t265)) % 127.19/128.61 (define @t267 () (or @t266 @t164 @t151)) % 127.19/128.61 (define @t268 () (or @t263 @t251 (not (and @t265 @t163 @t150)))) % 127.19/128.61 (define @t269 () (@list @t1)) % 127.19/128.61 (define @t270 () (forall @t2 (or @t5 (forall @t148 (or (not (tptp.r1 @t1 @t145)) @t146))))) % 127.19/128.61 (define @t271 () (or @t9 @t270 @t7)) % 127.19/128.61 (define @t272 () (forall @t10 @t271)) % 127.19/128.61 (define @t273 () (forall @t2 (or @t5 (forall @t161 (or (not (tptp.r1 @t1 @t158)) @t160)) (not (forall @t155 (or (not (tptp.r1 @t1 @t152)) @t153)))))) % 127.19/128.61 (define @t274 () (or @t9 @t273)) % 127.19/128.61 (define @t275 () (forall @t10 @t274)) % 127.19/128.61 (define @t276 () (forall @t2 (or @t5 (forall @t190 (or (not (tptp.r1 @t1 @t175)) @t188 @t184 @t177))))) % 127.19/128.61 (define @t277 () (or @t9 @t276)) % 127.19/128.61 (define @t278 () (forall @t10 @t277)) % 127.19/128.61 (define @t279 () (not @t278)) % 127.19/128.61 (define @t280 () (and @t279 @t275 @t272)) % 127.19/128.61 (define @t281 () (not @t280)) % 127.19/128.61 (define @t282 () (forall @t2 (or @t5 (forall @t247 (or (not (tptp.r1 @t1 @t200)) @t245))))) % 127.19/128.61 (define @t283 () (or @t9 @t282)) % 127.19/128.61 (define @t284 () (forall @t10 @t283)) % 127.19/128.61 (define @t285 () (not @t284)) % 127.19/128.61 (define @t286 () (forall @t2 (or @t5 (forall @t259 (or (not (tptp.r1 @t1 @t255)) @t257))))) % 127.19/128.61 (define @t287 () (or @t9 @t286)) % 127.19/128.61 (define @t288 () (forall @t10 @t287)) % 127.19/128.61 (define @t289 () (not @t288)) % 127.19/128.61 (define @t290 () (or @t289 @t285 @t281)) % 127.19/128.61 (define @t291 () (not @t290)) % 127.19/128.61 (define @t292 () (forall @t2 (not @t291))) % 127.19/128.61 (define @t293 () (not @t292)) % 127.19/128.61 (define @t294 () (@list @t4)) % 127.19/128.61 (define @t295 () (@list @t152)) % 127.19/128.61 (define @t296 () (forall @t10 (or @t9 (forall @t159 (or (not (tptp.r1 @t4 @t156)) @t157))))) % 127.19/128.61 (define @t297 () (or @t5 @t296 @t16)) % 127.19/128.61 (define @t298 () (forall @t2 @t297)) % 127.19/128.61 (define @t299 () (or @t9 @t298)) % 127.19/128.61 (define @t300 () (@list @t156)) % 127.19/128.61 (define @t301 () (forall @t10 (or @t9 (forall @t187 (or (not (tptp.r1 @t4 @t185)) @t186)) (forall @t183 (or (not (tptp.r1 @t4 @t180)) @t182)) (not (forall @t176 (or (not (tptp.r1 @t4 @t171)) @t174 @t173)))))) % 127.19/128.61 (define @t302 () (or @t5 @t301)) % 127.19/128.61 (define @t303 () (forall @t2 @t302)) % 127.19/128.61 (define @t304 () (or @t9 @t303)) % 127.19/128.61 (define @t305 () (forall @t2 (or @t5 @t3 (not (forall @t172 (or (not (tptp.r1 @t1 @t165)) @t170 @t166)))))) % 127.19/128.61 (define @t306 () (not @t305)) % 127.19/128.61 (define @t307 () (forall @t2 (or @t5 (not (forall @t181 (or (not (tptp.r1 @t1 @t178)) @t179)))))) % 127.19/128.61 (define @t308 () (@list @t185)) % 127.19/128.61 (define @t309 () (or @t9 @t6 @t307 @t306)) % 127.19/128.61 (define @t310 () (forall @t10 @t309)) % 127.19/128.61 (define @t311 () (or @t5 @t310)) % 127.19/128.61 (define @t312 () (forall @t10 (or @t9 (forall @t169 (or (not (tptp.r1 @t4 @t167)) @t168)) @t23))) % 127.19/128.61 (define @t313 () (not @t312)) % 127.19/128.61 (define @t314 () (or @t5 @t3 @t313)) % 127.19/128.61 (define @t315 () (forall @t2 @t314)) % 127.19/128.61 (define @t316 () (not @t315)) % 127.19/128.61 (define @t317 () (@list @t178)) % 127.19/128.61 (define @t318 () (or @t9 @t6 @t31 @t316)) % 127.19/128.61 (define @t319 () (@list @t167)) % 127.19/128.61 (define @t320 () (forall @t10 (or @t9 (and (or (forall @t244 (or (not (tptp.r1 @t4 @t242)) @t243)) @t23 (forall @t241 (or (not (tptp.r1 @t4 @t239)) @t240)) (not (forall @t236 (or (not (tptp.r1 @t4 @t232)) @t235 @t234 @t233)))) (or @t8 (forall @t221 (or (not (tptp.r1 @t4 @t219)) @t220)) (not (forall @t218 (or (not (tptp.r1 @t4 @t215)) @t217 @t216)))) (forall @t212 (or (not (tptp.r1 @t4 @t207)) @t211 @t208)) (or (forall @t206 (or (not (tptp.r1 @t4 @t204)) @t205)) (not (forall @t201 (or (not (tptp.r1 @t4 @t197)) @t199 @t198)))))))) % 127.19/128.61 (define @t321 () (or @t5 @t320)) % 127.19/128.61 (define @t322 () (forall @t2 @t321)) % 127.19/128.61 (define @t323 () (or @t9 @t322)) % 127.19/128.61 (define @t324 () (forall @t2 (or @t5 @t3 (not (forall @t46 (or @t44 @t196 @t42)))))) % 127.19/128.61 (define @t325 () (not @t324)) % 127.19/128.61 (define @t326 () (forall @t2 (or @t5 (forall @t62 (or @t60 @t59 @t203))))) % 127.19/128.61 (define @t327 () (or @t326 @t325)) % 127.19/128.61 (define @t328 () (forall @t2 (or @t5 (forall @t75 (or @t73 @t210)) @t70))) % 127.19/128.61 (define @t329 () (forall @t2 (or @t5 @t3 (not (forall @t84 (or @t82 @t214 @t80)))))) % 127.19/128.61 (define @t330 () (not @t329)) % 127.19/128.61 (define @t331 () (or @t8 @t93 @t330)) % 127.19/128.61 (define @t332 () (forall @t2 (or @t5 @t112 @t52 (not (forall @t106 (or @t104 @t231 @t226)))))) % 127.19/128.61 (define @t333 () (not @t332)) % 127.19/128.61 (define @t334 () (forall @t2 (or @t5 (not (forall @t121 (or @t119 @t238 @t117)))))) % 127.19/128.61 (define @t335 () (@list @t242)) % 127.19/128.61 (define @t336 () (or @t6 @t23 @t334 @t333)) % 127.19/128.61 (define @t337 () (and @t336 @t331 @t328 @t327)) % 127.19/128.61 (define @t338 () (or @t9 @t337)) % 127.19/128.61 (define @t339 () (forall @t10 @t338)) % 127.19/128.61 (define @t340 () (or @t5 @t339)) % 127.19/128.61 (define @t341 () (not @t99)) % 127.19/128.61 (define @t342 () (and @t341 @t96)) % 127.19/128.61 (define @t343 () (or @t104 @t103 @t342)) % 127.19/128.61 (define @t344 () (forall @t106 @t343)) % 127.19/128.61 (define @t345 () (not @t344)) % 127.19/128.61 (define @t346 () (or @t5 @t112 @t52 @t345)) % 127.19/128.61 (define @t347 () (forall @t10 (or @t9 (forall @t256 (or (not (tptp.r1 @t4 @t252)) @t254 @t253))))) % 127.19/128.61 (define @t348 () (or @t5 @t347)) % 127.19/128.61 (define @t349 () (forall @t2 @t348)) % 127.19/128.61 (define @t350 () (or @t9 @t349)) % 127.19/128.61 (define @t351 () (or @t5 @t275)) % 127.19/128.61 (define @t352 () (@quantifiers_skolemize (forall @t2 @t264) 0)) % 127.19/128.61 (define @t353 () (not (tptp.r1 @t352 @t4))) % 127.19/128.61 (define @t354 () (forall @t10 (or @t353 @t250))) % 127.19/128.61 (define @t355 () (forall @t10 (or @t353 @t193))) % 127.19/128.61 (define @t356 () (not @t354)) % 127.19/128.61 (define @t357 () (forall @t10 (or @t353 @t262))) % 127.19/128.61 (define @t358 () (not @t357)) % 127.19/128.61 (define @t359 () (or @t358 @t356 @t355 (not (forall @t10 (or @t353 @t162))) (not (forall @t10 (or @t353 @t149 @t144))))) % 127.19/128.61 (define @t360 () (@list true)) % 127.19/128.61 (define @t361 () (@list @t359)) % 127.19/128.61 (define @t362 () (@quantifiers_skolemize @t355 0)) % 127.19/128.61 (define @t363 () (@list @t362)) % 127.19/128.61 (define @t364 () (tptp.r1 @t352 @t362)) % 127.19/128.61 (define @t365 () (forall @t192 (or (not (tptp.r1 @t362 @t189)) @t191))) % 127.19/128.61 (define @t366 () (not @t364)) % 127.19/128.61 (define @t367 () (or @t366 @t365)) % 127.19/128.61 (define @t368 () (@list @t367)) % 127.19/128.61 (define @t369 () (forall @t249 (or (not (tptp.r1 @t362 @t246)) @t248))) % 127.19/128.61 (define @t370 () (or @t366 @t369)) % 127.19/128.61 (define @t371 () (@list false false)) % 127.19/128.61 (define @t372 () (@quantifiers_skolemize @t365 0)) % 127.19/128.61 (define @t373 () (@list @t372)) % 127.19/128.61 (define @t374 () (tptp.r1 @t362 @t372)) % 127.19/128.61 (define @t375 () (forall @t190 (or (not (tptp.r1 @t372 @t175)) @t188 @t184 @t177))) % 127.19/128.61 (define @t376 () (not @t374)) % 127.19/128.61 (define @t377 () (or @t376 @t375)) % 127.19/128.61 (define @t378 () (@list @t377)) % 127.19/128.61 (define @t379 () (forall @t247 (or (not (tptp.r1 @t372 @t200)) @t245))) % 127.19/128.61 (define @t380 () (or @t376 @t379)) % 127.19/128.61 (define @t381 () (@quantifiers_skolemize @t375 0)) % 127.19/128.61 (define @t382 () (@list @t381)) % 127.19/128.61 (define @t383 () (tptp.r1 @t372 @t381)) % 127.19/128.61 (define @t384 () (forall @t176 (or (not (tptp.r1 @t381 @t171)) @t174 @t173))) % 127.19/128.61 (define @t385 () (not @t384)) % 127.19/128.61 (define @t386 () (forall @t183 (or (not (tptp.r1 @t381 @t180)) @t182))) % 127.19/128.61 (define @t387 () (forall @t187 (or (not (tptp.r1 @t381 @t185)) @t186))) % 127.19/128.61 (define @t388 () (not @t383)) % 127.19/128.61 (define @t389 () (or @t388 @t387 @t386 @t385)) % 127.19/128.61 (define @t390 () (@list @t389)) % 127.19/128.61 (define @t391 () (forall @t201 (or (not (tptp.r1 @t381 @t197)) @t199 @t198))) % 127.19/128.61 (define @t392 () (not @t391)) % 127.19/128.61 (define @t393 () (forall @t206 (or (not (tptp.r1 @t381 @t204)) @t205))) % 127.19/128.61 (define @t394 () (or @t393 @t392)) % 127.19/128.61 (define @t395 () (forall @t218 (or (not (tptp.r1 @t381 @t215)) @t217 @t216))) % 127.19/128.61 (define @t396 () (not @t395)) % 127.19/128.61 (define @t397 () (forall @t221 (or (not (tptp.r1 @t381 @t219)) @t220))) % 127.19/128.61 (define @t398 () (tptp.p1 @t381)) % 127.19/128.61 (define @t399 () (or @t398 @t397 @t396)) % 127.19/128.61 (define @t400 () (forall @t236 (or (not (tptp.r1 @t381 @t232)) @t235 @t234 @t233))) % 127.19/128.61 (define @t401 () (not @t400)) % 127.19/128.61 (define @t402 () (forall @t241 (or (not (tptp.r1 @t381 @t239)) @t240))) % 127.19/128.61 (define @t403 () (not @t398)) % 127.19/128.61 (define @t404 () (forall @t244 (or (not (tptp.r1 @t381 @t242)) @t243))) % 127.19/128.61 (define @t405 () (or @t404 @t403 @t402 @t401)) % 127.19/128.61 (define @t406 () (and @t405 @t399 (forall @t212 (or (not (tptp.r1 @t381 @t207)) @t211 @t208)) @t394)) % 127.19/128.61 (define @t407 () (or @t388 @t406)) % 127.19/128.61 (define @t408 () (not @t406)) % 127.19/128.61 (define @t409 () (@list false)) % 127.19/128.61 (define @t410 () (@list @t406)) % 127.19/128.61 (define @t411 () (@list @t165 @t167 @t171)) % 127.19/128.61 (define @t412 () (@list @t384)) % 127.19/128.61 (define @t413 () (@quantifiers_skolemize @t400 0)) % 127.19/128.61 (define @t414 () (@quantifiers_skolemize @t386 0)) % 127.19/128.61 (define @t415 () (forall @t172 (or (not (tptp.r1 @t414 @t165)) @t170 @t166))) % 127.19/128.61 (define @t416 () (@quantifiers_skolemize @t415 0)) % 127.19/128.61 (define @t417 () (tptp.r1 @t414 @t416)) % 127.19/128.61 (define @t418 () (forall @t169 (or (not (tptp.r1 @t416 @t167)) @t168))) % 127.19/128.61 (define @t419 () (not @t417)) % 127.19/128.61 (define @t420 () (or @t419 @t418 (not (tptp.p1 @t416)))) % 127.19/128.61 (define @t421 () (forall @t261 (or (not (tptp.r1 @t362 @t258)) @t260))) % 127.19/128.61 (define @t422 () (or @t366 @t421)) % 127.19/128.61 (define @t423 () (forall @t259 (or (not (tptp.r1 @t372 @t255)) @t257))) % 127.19/128.61 (define @t424 () (or @t376 @t423)) % 127.19/128.61 (define @t425 () (forall @t256 (or (not (tptp.r1 @t381 @t252)) @t254 @t253))) % 127.19/128.61 (define @t426 () (or @t388 @t425)) % 127.19/128.61 (define @t427 () (@list @t414)) % 127.19/128.61 (define @t428 () (forall @t181 (or (not (tptp.r1 @t414 @t178)) @t179))) % 127.19/128.61 (define @t429 () (not @t428)) % 127.19/128.61 (define @t430 () (tptp.r1 @t381 @t414)) % 127.19/128.61 (define @t431 () (not @t430)) % 127.19/128.61 (define @t432 () (or @t431 @t429)) % 127.19/128.61 (define @t433 () (@list @t432)) % 127.19/128.61 (define @t434 () (forall @t155 (or (not (tptp.r1 @t414 @t152)) @t153))) % 127.19/128.61 (define @t435 () (not @t434)) % 127.19/128.61 (define @t436 () (forall @t161 (or (not (tptp.r1 @t414 @t158)) @t160))) % 127.19/128.61 (define @t437 () (or @t431 @t436 @t435)) % 127.19/128.61 (define @t438 () (forall @t159 (or (not (tptp.r1 @t416 @t156)) @t157))) % 127.19/128.61 (define @t439 () (or @t419 @t438)) % 127.19/128.61 (define @t440 () (not @t420)) % 127.19/128.61 (define @t441 () (not @t415)) % 127.19/128.61 (define @t442 () (@list @t167 @t165)) % 127.19/128.61 (define @t443 () (forall @t121 (or (not (tptp.r1 @t414 @t116)) @t238 @t117))) % 127.19/128.61 (define @t444 () (not @t443)) % 127.19/128.61 (define @t445 () (or @t431 @t444)) % 127.19/128.61 (define @t446 () (not @t445)) % 127.19/128.61 (define @t447 () (@list @t79 @t213 @t215)) % 127.19/128.61 (define @t448 () (forall @t106 (or (not (tptp.r1 @t413 @t95)) @t231 @t226))) % 127.19/128.61 (define @t449 () (not @t448)) % 127.19/128.61 (define @t450 () (forall @t111 (or (not (tptp.r1 @t413 @t109)) @t110))) % 127.19/128.61 (define @t451 () (tptp.r1 @t381 @t413)) % 127.19/128.61 (define @t452 () (not @t451)) % 127.19/128.61 (define @t453 () (or @t452 @t450 (not (tptp.p1 @t413)) @t449)) % 127.19/128.61 (define @t454 () (not @t453)) % 127.19/128.61 (define @t455 () (@list @t453)) % 127.19/128.61 (define @t456 () (forall @t62 (or (not (tptp.r1 @t413 @t56)) @t59 @t203))) % 127.19/128.61 (define @t457 () (or @t452 @t456)) % 127.19/128.61 (define @t458 () (forall @t218 (or (not (tptp.r1 @t413 @t215)) @t217 @t216))) % 127.19/128.61 (define @t459 () (@quantifiers_skolemize @t450 0)) % 127.19/128.61 (define @t460 () (@list @t459)) % 127.19/128.61 (define @t461 () (tptp.p1 @t459)) % 127.19/128.61 (define @t462 () (and (not (forall @t225 (or (not (tptp.r1 @t459 @t223)) @t224))) @t461)) % 127.19/128.61 (define @t463 () (forall @t230 (or (not (tptp.r1 @t459 @t227)) @t229 @t228))) % 127.19/128.61 (define @t464 () (tptp.r1 @t413 @t459)) % 127.19/128.61 (define @t465 () (not @t464)) % 127.19/128.61 (define @t466 () (or @t465 @t463 @t462)) % 127.19/128.61 (define @t467 () (not @t450)) % 127.19/128.61 (define @t468 () (or @t465 @t461)) % 127.19/128.61 (define @t469 () (not @t468)) % 127.19/128.61 (define @t470 () (@list @t468)) % 127.19/128.61 (define @t471 () (not @t462)) % 127.19/128.61 (define @t472 () (@list false true false)) % 127.19/128.61 (define @t473 () (forall @t172 (or (not (tptp.r1 @t459 @t165)) @t170 @t166))) % 127.19/128.61 (define @t474 () (forall @t84 (or (not (tptp.r1 @t459 @t79)) @t214 @t80))) % 127.19/128.61 (define @t475 () (not @t474)) % 127.19/128.61 (define @t476 () (or @t465 @t461 @t475)) % 127.19/128.61 (define @t477 () (not @t476)) % 127.19/128.61 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 127.19/128.61 (assume @p2 (not (not @t142))) % 127.19/128.61 (assume @p3 true) % 127.19/128.61 (step @p4 :rule aci_norm :args ((= (or @t263 @t251 (or @t194 @t164 @t151)) @t264))) % 127.19/128.61 (step @p5 :rule refl :args (@t151)) % 127.19/128.61 (step @p6 :rule refl :args (@t164)) % 127.19/128.61 (step @p7 :rule bool-double-not-elim :args (@t194)) % 127.19/128.61 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args (@t267)) % 127.19/128.61 (step @p9 :rule aci_norm :args ((= (or @t266 (or @t164 @t151)) @t267))) % 127.19/128.61 (step @p10 :rule trans :premises (@p9 @p8)) % 127.19/128.61 (step @p11 :rule bool-and-de-morgan :args (@t163 @t150 true)) % 127.19/128.61 (step @p12 :rule refl :args (@t266)) % 127.19/128.61 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t266 (not (and @t163 @t150))))) % 127.19/128.61 (step @p14 :rule bool-and-de-morgan :args (@t265 @t163 (and @t150))) % 127.19/128.61 (step @p15 :rule trans :premises (@p14 @p13)) % 127.19/128.61 (step @p16 :rule trans :premises (@p15 @p10)) % 127.19/128.61 (step @p17 :rule refl :args (@t251)) % 127.19/128.61 (step @p18 :rule refl :args (@t263)) % 127.19/128.61 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16) :args (@t268)) % 127.19/128.61 (step @p20 :rule trans :premises (@p19 @p4)) % 127.19/128.61 (step @p21 :rule cong :premises (@p20) :args ((forall @t2 @t268))) % 127.19/128.61 (step @p22 :rule alpha_equiv :args (@t6 @t269 (@list @t143))) % 127.19/128.61 (step @p23 :rule cong :premises (@p22) :args (@t7)) % 127.19/128.61 (step @p24 :rule alpha_equiv :args (@t270 @t269 (@list @t147))) % 127.19/128.61 (step @p25 :rule refl :args (@t9)) % 127.19/128.61 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args (@t271)) % 127.19/128.61 (step @p27 :rule cong :premises (@p26) :args (@t272)) % 127.19/128.61 (step @p28 :rule alpha_equiv :args (@t273 @t269 (@list @t154))) % 127.19/128.61 (step @p29 :rule nary_cong :premises (@p25 @p28) :args (@t274)) % 127.19/128.61 (step @p30 :rule cong :premises (@p29) :args (@t275)) % 127.19/128.61 (step @p31 :rule alpha_equiv :args (@t276 @t269 (@list @t189))) % 127.19/128.61 (step @p32 :rule nary_cong :premises (@p25 @p31) :args (@t277)) % 127.19/128.61 (step @p33 :rule cong :premises (@p32) :args (@t278)) % 127.19/128.61 (step @p34 :rule cong :premises (@p33) :args (@t279)) % 127.19/128.61 (step @p35 :rule nary_cong :premises (@p34 @p30 @p27) :args (@t280)) % 127.19/128.61 (step @p36 :rule cong :premises (@p35) :args (@t281)) % 127.19/128.61 (step @p37 :rule alpha_equiv :args (@t282 @t269 (@list @t246))) % 127.19/128.61 (step @p38 :rule nary_cong :premises (@p25 @p37) :args (@t283)) % 127.19/128.61 (step @p39 :rule cong :premises (@p38) :args (@t284)) % 127.19/128.61 (step @p40 :rule cong :premises (@p39) :args (@t285)) % 127.19/128.61 (step @p41 :rule alpha_equiv :args (@t286 @t269 (@list @t258))) % 127.19/128.61 (step @p42 :rule nary_cong :premises (@p25 @p41) :args (@t287)) % 127.19/128.61 (step @p43 :rule cong :premises (@p42) :args (@t288)) % 127.19/128.61 (step @p44 :rule cong :premises (@p43) :args (@t289)) % 127.19/128.61 (step @p45 :rule nary_cong :premises (@p44 @p40 @p36) :args (@t290)) % 127.19/128.61 (step @p46 :rule cong :premises (@p45) :args ((forall @t2 @t290))) % 127.19/128.61 (step @p47 :rule trans :premises (@p46 @p21)) % 127.19/128.61 (step @p48 :rule bool-double-not-elim :args (@t290)) % 127.19/128.61 (step @p49 :rule cong :premises (@p48) :args (@t292)) % 127.19/128.61 (step @p50 :rule trans :premises (@p49 @p47)) % 127.19/128.61 (step @p51 :rule cong :premises (@p50) :args (@t293)) % 127.19/128.61 (step @p52 :rule exists-elim :args ((= (exists @t2 @t291) @t293))) % 127.19/128.61 (step @p53 :rule trans :premises (@p52 @p51)) % 127.19/128.61 (step @p54 :rule refl :args (@t7)) % 127.19/128.61 (step @p55 :rule alpha_equiv :args (@t11 @t294 (@list @t145))) % 127.19/128.61 (step @p56 :rule refl :args (@t5)) % 127.19/128.61 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t12)) % 127.19/128.61 (step @p58 :rule cong :premises (@p57) :args (@t13)) % 127.19/128.61 (step @p59 :rule nary_cong :premises (@p25 @p58 @p54) :args (@t14)) % 127.19/128.61 (step @p60 :rule cong :premises (@p59) :args (@t15)) % 127.19/128.61 (step @p61 :rule alpha_equiv :args (@t11 @t294 @t295)) % 127.19/128.61 (step @p62 :rule cong :premises (@p61) :args (@t16)) % 127.19/128.61 (step @p63 :rule alpha_equiv :args (@t296 @t294 (@list @t158))) % 127.19/128.61 (step @p64 :rule nary_cong :premises (@p56 @p63 @p62) :args (@t297)) % 127.19/128.61 (step @p65 :rule cong :premises (@p64) :args (@t298)) % 127.19/128.61 (step @p66 :rule nary_cong :premises (@p25 @p65) :args (@t299)) % 127.19/128.61 (step @p67 :rule cong :premises (@p66) :args ((forall @t10 @t299))) % 127.19/128.61 (step @p68 :rule refl :args (@t16)) % 127.19/128.61 (step @p69 :rule alpha_equiv :args (@t6 @t269 @t300)) % 127.19/128.61 (step @p70 :rule nary_cong :premises (@p25 @p69) :args (@t17)) % 127.19/128.61 (step @p71 :rule cong :premises (@p70) :args (@t18)) % 127.19/128.61 (step @p72 :rule nary_cong :premises (@p56 @p71 @p68) :args (@t19)) % 127.19/128.61 (step @p73 :rule cong :premises (@p72) :args (@t20)) % 127.19/128.61 (step @p74 :rule refl :args (@t9)) % 127.19/128.61 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t21)) % 127.19/128.61 (step @p76 :rule cong :premises (@p75) :args (@t22)) % 127.19/128.61 (step @p77 :rule trans :premises (@p76 @p67)) % 127.19/128.61 (step @p78 :rule alpha_equiv :args (@t301 @t294 (@list @t175))) % 127.19/128.61 (step @p79 :rule nary_cong :premises (@p56 @p78) :args (@t302)) % 127.19/128.61 (step @p80 :rule cong :premises (@p79) :args (@t303)) % 127.19/128.61 (step @p81 :rule nary_cong :premises (@p25 @p80) :args (@t304)) % 127.19/128.61 (step @p82 :rule cong :premises (@p81) :args ((forall @t10 @t304))) % 127.19/128.61 (step @p83 :rule alpha_equiv :args (@t305 @t269 (@list @t171))) % 127.19/128.61 (step @p84 :rule cong :premises (@p83) :args (@t306)) % 127.19/128.61 (step @p85 :rule alpha_equiv :args (@t307 @t269 (@list @t180))) % 127.19/128.61 (step @p86 :rule alpha_equiv :args (@t6 @t269 @t308)) % 127.19/128.61 (step @p87 :rule nary_cong :premises (@p25 @p86 @p85 @p84) :args (@t309)) % 127.19/128.61 (step @p88 :rule cong :premises (@p87) :args (@t310)) % 127.19/128.61 (step @p89 :rule nary_cong :premises (@p56 @p88) :args (@t311)) % 127.19/128.61 (step @p90 :rule cong :premises (@p89) :args ((forall @t2 @t311))) % 127.19/128.61 (step @p91 :rule alpha_equiv :args (@t312 @t294 (@list @t165))) % 127.19/128.61 (step @p92 :rule cong :premises (@p91) :args (@t313)) % 127.19/128.61 (step @p93 :rule refl :args (@t3)) % 127.19/128.61 (step @p94 :rule nary_cong :premises (@p56 @p93 @p92) :args (@t314)) % 127.19/128.61 (step @p95 :rule cong :premises (@p94) :args (@t315)) % 127.19/128.61 (step @p96 :rule cong :premises (@p95) :args (@t316)) % 127.19/128.61 (step @p97 :rule alpha_equiv :args (@t11 @t294 @t317)) % 127.19/128.61 (step @p98 :rule cong :premises (@p97) :args (@t16)) % 127.19/128.61 (step @p99 :rule nary_cong :premises (@p56 @p98) :args (@t30)) % 127.19/128.61 (step @p100 :rule cong :premises (@p99) :args (@t31)) % 127.19/128.61 (step @p101 :rule refl :args (@t6)) % 127.19/128.61 (step @p102 :rule nary_cong :premises (@p25 @p101 @p100 @p96) :args (@t318)) % 127.19/128.61 (step @p103 :rule cong :premises (@p102) :args ((forall @t10 @t318))) % 127.19/128.61 (step @p104 :rule refl :args (@t23)) % 127.19/128.61 (step @p105 :rule alpha_equiv :args (@t6 @t269 @t319)) % 127.19/128.61 (step @p106 :rule nary_cong :premises (@p25 @p105 @p104) :args (@t24)) % 127.19/128.61 (step @p107 :rule cong :premises (@p106) :args (@t25)) % 127.19/128.61 (step @p108 :rule cong :premises (@p107) :args (@t26)) % 127.19/128.61 (step @p109 :rule nary_cong :premises (@p56 @p93 @p108) :args (@t27)) % 127.19/128.61 (step @p110 :rule cong :premises (@p109) :args (@t28)) % 127.19/128.61 (step @p111 :rule cong :premises (@p110) :args (@t29)) % 127.19/128.61 (step @p112 :rule refl :args (@t31)) % 127.19/128.61 (step @p113 :rule refl :args (@t6)) % 127.19/128.61 (step @p114 :rule nary_cong :premises (@p74 @p113 @p112 @p111) :args (@t32)) % 127.19/128.61 (step @p115 :rule cong :premises (@p114) :args (@t33)) % 127.19/128.61 (step @p116 :rule trans :premises (@p115 @p103)) % 127.19/128.61 (step @p117 :rule refl :args (@t5)) % 127.19/128.61 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t34)) % 127.19/128.61 (step @p119 :rule cong :premises (@p118) :args (@t35)) % 127.19/128.61 (step @p120 :rule trans :premises (@p119 @p90)) % 127.19/128.61 (step @p121 :rule nary_cong :premises (@p74 @p120) :args (@t36)) % 127.19/128.61 (step @p122 :rule cong :premises (@p121) :args (@t37)) % 127.19/128.61 (step @p123 :rule trans :premises (@p122 @p82)) % 127.19/128.61 (step @p124 :rule cong :premises (@p123) :args (@t38)) % 127.19/128.61 (step @p125 :rule nary_cong :premises (@p124 @p77 @p60) :args (@t39)) % 127.19/128.61 (step @p126 :rule cong :premises (@p125) :args (@t40)) % 127.19/128.61 (step @p127 :rule alpha_equiv :args (@t320 @t294 (@list @t200))) % 127.19/128.61 (step @p128 :rule nary_cong :premises (@p56 @p127) :args (@t321)) % 127.19/128.61 (step @p129 :rule cong :premises (@p128) :args (@t322)) % 127.19/128.61 (step @p130 :rule nary_cong :premises (@p25 @p129) :args (@t323)) % 127.19/128.61 (step @p131 :rule cong :premises (@p130) :args ((forall @t10 @t323))) % 127.19/128.61 (step @p132 :rule alpha_equiv :args (@t324 @t269 (@list @t197))) % 127.19/128.61 (step @p133 :rule cong :premises (@p132) :args (@t325)) % 127.19/128.61 (step @p134 :rule alpha_equiv :args (@t326 @t269 (@list @t204))) % 127.19/128.61 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t327)) % 127.19/128.61 (step @p136 :rule alpha_equiv :args (@t328 @t269 (@list @t207))) % 127.19/128.61 (step @p137 :rule alpha_equiv :args (@t329 @t269 (@list @t215))) % 127.19/128.61 (step @p138 :rule cong :premises (@p137) :args (@t330)) % 127.19/128.61 (step @p139 :rule alpha_equiv :args (@t93 @t269 (@list @t219))) % 127.19/128.61 (step @p140 :rule refl :args (@t8)) % 127.19/128.61 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args (@t331)) % 127.19/128.61 (step @p142 :rule alpha_equiv :args (@t332 @t269 (@list @t232))) % 127.19/128.61 (step @p143 :rule cong :premises (@p142) :args (@t333)) % 127.19/128.61 (step @p144 :rule alpha_equiv :args (@t334 @t269 (@list @t239))) % 127.19/128.61 (step @p145 :rule alpha_equiv :args (@t6 @t269 @t335)) % 127.19/128.61 (step @p146 :rule nary_cong :premises (@p145 @p104 @p144 @p143) :args (@t336)) % 127.19/128.61 (step @p147 :rule nary_cong :premises (@p146 @p141 @p136 @p135) :args (@t337)) % 127.19/128.61 (step @p148 :rule nary_cong :premises (@p25 @p147) :args (@t338)) % 127.19/128.61 (step @p149 :rule cong :premises (@p148) :args (@t339)) % 127.19/128.61 (step @p150 :rule nary_cong :premises (@p56 @p149) :args (@t340)) % 127.19/128.61 (step @p151 :rule cong :premises (@p150) :args ((forall @t2 @t340))) % 127.19/128.61 (step @p152 :rule refl :args (@t42)) % 127.19/128.61 (step @p153 :rule alpha_equiv :args (@t43 @t269 (@list @t195))) % 127.19/128.61 (step @p154 :rule refl :args (@t44)) % 127.19/128.61 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args (@t45)) % 127.19/128.61 (step @p156 :rule cong :premises (@p155) :args (@t47)) % 127.19/128.61 (step @p157 :rule cong :premises (@p156) :args (@t48)) % 127.19/128.61 (step @p158 :rule nary_cong :premises (@p56 @p93 @p157) :args (@t49)) % 127.19/128.61 (step @p159 :rule cong :premises (@p158) :args (@t50)) % 127.19/128.61 (step @p160 :rule cong :premises (@p159) :args (@t51)) % 127.19/128.61 (step @p161 :rule alpha_equiv :args (@t57 @t269 (@list @t202))) % 127.19/128.61 (step @p162 :rule cong :premises (@p161) :args (@t58)) % 127.19/128.61 (step @p163 :rule refl :args (@t59)) % 127.19/128.61 (step @p164 :rule refl :args (@t60)) % 127.19/128.61 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162) :args (@t61)) % 127.19/128.61 (step @p166 :rule cong :premises (@p165) :args (@t63)) % 127.19/128.61 (step @p167 :rule nary_cong :premises (@p56 @p166) :args (@t64)) % 127.19/128.61 (step @p168 :rule cong :premises (@p167) :args (@t65)) % 127.19/128.61 (step @p169 :rule nary_cong :premises (@p168 @p160) :args (@t66)) % 127.19/128.61 (step @p170 :rule refl :args (@t70)) % 127.19/128.61 (step @p171 :rule alpha_equiv :args (@t72 @t269 (@list @t209))) % 127.19/128.61 (step @p172 :rule refl :args (@t73)) % 127.19/128.61 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t74)) % 127.19/128.61 (step @p174 :rule cong :premises (@p173) :args (@t76)) % 127.19/128.61 (step @p175 :rule nary_cong :premises (@p56 @p174 @p170) :args (@t77)) % 127.19/128.61 (step @p176 :rule cong :premises (@p175) :args (@t78)) % 127.19/128.61 (step @p177 :rule refl :args (@t80)) % 127.19/128.61 (step @p178 :rule alpha_equiv :args (@t81 @t269 (@list @t213))) % 127.19/128.61 (step @p179 :rule refl :args (@t82)) % 127.19/128.61 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args (@t83)) % 127.19/128.61 (step @p181 :rule cong :premises (@p180) :args (@t85)) % 127.19/128.61 (step @p182 :rule cong :premises (@p181) :args (@t86)) % 127.19/128.61 (step @p183 :rule nary_cong :premises (@p56 @p93 @p182) :args (@t87)) % 127.19/128.61 (step @p184 :rule cong :premises (@p183) :args (@t88)) % 127.19/128.61 (step @p185 :rule cong :premises (@p184) :args (@t89)) % 127.19/128.61 (step @p186 :rule refl :args (@t93)) % 127.19/128.61 (step @p187 :rule refl :args (@t8)) % 127.19/128.61 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args (@t94)) % 127.19/128.61 (step @p189 :rule refl :args (@t96)) % 127.19/128.61 (step @p190 :rule alpha_equiv :args (@t99 @t269 (@list @t223))) % 127.19/128.61 (step @p191 :rule cong :premises (@p190) :args (@t341)) % 127.19/128.61 (step @p192 :rule nary_cong :premises (@p191 @p189) :args (@t342)) % 127.19/128.61 (step @p193 :rule alpha_equiv :args (@t103 @t269 (@list @t227))) % 127.19/128.61 (step @p194 :rule refl :args (@t104)) % 127.19/128.61 (step @p195 :rule nary_cong :premises (@p194 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(assume-push @p507 @t401) % 127.19/128.62 (step @p430 :rule skolemize :premises (@p507)) % 127.19/128.62 (step-pop @p508 :rule scope :premises (@p430)) % 127.19/128.62 (step @p431 :rule process_scope :premises (@p508) :args (@t454)) % 127.19/128.62 (step @p433 :rule implies_elim :premises (@p431)) % 127.19/128.62 (step @p434 :rule eq_resolve :premises (@p433 @p428)) % 127.19/128.62 (step @p435 :rule chain_m_resolution :premises (@p434 @p425) :args (@t454 @t360 (@list @t400))) % 127.19/128.62 (step @p436 :rule bool-double-not-elim :args (@t451)) % 127.19/128.62 (step @p437 :rule refl :args (@t453)) % 127.19/128.62 (step @p438 :rule nary_cong :premises (@p437 @p436) :args ((or @t453 (not @t452)))) % 127.19/128.62 (step @p439 :rule cnf_or_neg :args (@t453 0)) % 127.19/128.62 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 127.19/128.62 (step @p441 :rule reordering :premises (@p440) :args ((or @t451 @t453))) % 127.19/128.62 (step @p442 :rule chain_m_resolution :premises (@p441 @p435) :args (@t451 @t360 @t455)) % 127.19/128.62 (step @p443 :rule cnf_or_pos :args (@t457)) % 127.19/128.62 (step @p444 :rule reordering :premises (@p443) :args ((or @t452 @t456 (not @t457)))) % 127.19/128.62 (step @p445 :rule chain_m_resolution :premises (@p444 @p442 @p326) :args (@t456 @t371 (@list @t451 @t457))) % 127.19/128.62 (step @p446 :rule alpha_equiv :args (@t458 @t447 (@list @t202 @t53 @t56))) % 127.19/128.62 (step @p447 :rule equiv_elim2 :premises (@p446)) % 127.19/128.62 (step @p448 :rule chain_m_resolution :premises (@p447 @p445) :args (@t458 @t409 (@list @t456))) % 127.19/128.62 (step @p449 :rule bool-double-not-elim :args (@t448)) % 127.19/128.62 (step @p450 :rule nary_cong :premises (@p437 @p449) :args ((or @t453 (not @t449)))) % 127.19/128.62 (step @p451 :rule cnf_or_neg :args (@t453 3)) % 127.19/128.62 (step @p452 :rule eq_resolve :premises (@p451 @p450)) % 127.19/128.62 (step @p453 :rule reordering :premises (@p452) :args ((or @t448 @t453))) % 127.19/128.62 (step @p454 :rule chain_m_resolution :premises (@p453 @p435) :args (@t448 @t360 @t455)) % 127.19/128.62 (assume-push @p509 @t448) % 127.19/128.62 (step @p456 :rule instantiate :premises (@p509) :args (@t460)) % 127.19/128.62 (step-pop @p510 :rule scope :premises (@p456)) % 127.19/128.62 (step @p457 :rule process_scope :premises (@p510) :args (@t466)) % 127.19/128.62 (step @p459 :rule implies_elim :premises (@p457)) % 127.19/128.62 (step @p460 :rule chain_m_resolution :premises (@p459 @p454) :args (@t466 @t409 (@list @t448))) % 127.19/128.62 (step @p461 :rule cnf_or_neg :args (@t453 1)) % 127.19/128.62 (step @p462 :rule chain_m_resolution :premises (@p461 @p435) :args (@t467 @t360 @t455)) % 127.19/128.62 (step @p463 :rule refl :args (@t469)) % 127.19/128.62 (step @p464 :rule bool-double-not-elim :args (@t450)) % 127.19/128.62 (step @p465 :rule nary_cong :premises (@p464 @p463) :args ((or (not @t467) @t469))) % 127.19/128.62 (assume-push @p511 @t467) % 127.19/128.62 (step @p467 :rule skolemize :premises (@p511)) % 127.19/128.62 (step-pop @p512 :rule scope :premises (@p467)) % 127.19/128.62 (step @p468 :rule process_scope :premises (@p512) :args (@t469)) % 127.19/128.62 (step @p470 :rule implies_elim :premises (@p468)) % 127.19/128.62 (step @p471 :rule eq_resolve :premises (@p470 @p465)) % 127.19/128.62 (step @p472 :rule chain_m_resolution :premises (@p471 @p462) :args (@t469 @t360 (@list @t450))) % 127.19/128.62 (step @p473 :rule cnf_or_neg :args (@t468 1)) % 127.19/128.62 (step @p474 :rule chain_m_resolution :premises (@p473 @p472) :args ((not @t461) @t360 @t470)) % 127.19/128.62 (step @p475 :rule cnf_and_pos :args (@t462 1)) % 127.19/128.62 (step @p476 :rule reordering :premises (@p475) :args ((or @t461 @t471))) % 127.19/128.62 (step @p477 :rule chain_m_resolution :premises (@p476 @p474) :args (@t471 @t360 (@list @t461))) % 127.19/128.62 (step @p478 :rule bool-double-not-elim :args (@t464)) % 127.19/128.62 (step @p479 :rule refl :args (@t468)) % 127.19/128.62 (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or @t468 (not @t465)))) % 127.19/128.62 (step @p481 :rule cnf_or_neg :args (@t468 0)) % 127.19/128.62 (step @p482 :rule eq_resolve :premises (@p481 @p480)) % 127.19/128.62 (step @p483 :rule reordering :premises (@p482) :args ((or @t464 @t468))) % 127.19/128.62 (step @p484 :rule chain_m_resolution :premises (@p483 @p472) :args (@t464 @t360 @t470)) % 127.19/128.62 (step @p485 :rule cnf_or_pos :args (@t466)) % 127.19/128.62 (step @p486 :rule reordering :premises (@p485) :args ((or @t465 @t463 @t462 (not @t466)))) % 127.19/128.62 (step @p487 :rule chain_m_resolution :premises (@p486 @p484 @p477 @p460) :args (@t463 @t472 (@list @t464 @t462 @t466))) % 127.19/128.62 (step @p488 :rule alpha_equiv :args (@t473 @t442 (@list @t100 @t227))) % 127.19/128.62 (step @p489 :rule equiv_elim2 :premises (@p488)) % 127.19/128.62 (step @p490 :rule chain_m_resolution :premises (@p489 @p487) :args (@t473 @t409 (@list @t463))) % 127.19/128.62 (step @p491 :rule alpha_equiv :args (@t473 @t442 (@list @t213 @t79))) % 127.19/128.62 (step @p492 :rule equiv_elim1 :premises (@p491)) % 127.19/128.62 (step @p493 :rule chain_m_resolution :premises (@p492 @p490) :args (@t474 @t409 (@list @t473))) % 127.19/128.62 (step @p494 :rule cnf_or_pos :args (@t476)) % 127.19/128.62 (step @p495 :rule reordering :premises (@p494) :args ((or @t465 @t461 @t475 @t477))) % 127.19/128.62 (step @p496 :rule chain_m_resolution :premises (@p495 @p484 @p474 @p493) :args (@t477 @t472 (@list @t464 @t461 @t474))) % 127.19/128.62 (assume-push @p513 @t458) % 127.19/128.62 (step @p498 :rule instantiate :premises (@p513) :args (@t460)) % 127.19/128.62 (step-pop @p514 :rule scope :premises (@p498)) % 127.19/128.62 (step @p499 :rule process_scope :premises (@p514) :args (@t476)) % 127.19/128.62 (step @p501 :rule implies_elim :premises (@p499)) % 127.19/128.62 (step @p502 false :rule chain_m_resolution :premises (@p501 @p496 @p448) :args (false (@list true false) (@list @t476 @t458))) % 127.19/128.62 ) % 127.19/128.62 % SZS output end Proof % 127.19/128.62 % cvc5 exiting %------------------------------------------------------------------------------