%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL658+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 : n002.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 126.40s 129.39s % Output : Proof 126.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL658+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 % 0.09/0.36 % Computer : n002.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 : Sat Sep 5 09:09:35 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.44 %----Proving TF0_NAR, FOF, or CNF % 126.40/129.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 126.40/129.39 --- Run --no-e-matching --full-saturate-quant at 6... % 126.40/129.39 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 126.40/129.39 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 126.40/129.39 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 126.40/129.39 --- Run --trigger-sel=max --full-saturate-quant at 15... % 126.40/129.39 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 126.40/129.39 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.40/129.39 --- Run --prenex-quant=none --full-saturate-quant at 30... % 126.40/129.39 % SZS status Theorem % 126.40/129.39 % SZS output start Proof % 126.40/129.39 ( % 126.40/129.39 (declare-sort $$unsorted 0) % 126.40/129.39 (declare-const tptp.p1 (-> $$unsorted Bool)) % 126.40/129.39 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 126.40/129.39 (define @t1 () (@var "X" $$unsorted)) % 126.40/129.39 (define @t2 () (@list @t1)) % 126.40/129.39 (define @t3 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t4 () (tptp.p1 @t3)) % 126.40/129.39 (define @t5 () (not @t4)) % 126.40/129.39 (define @t6 () (tptp.p1 @t1)) % 126.40/129.39 (define @t7 () (not (tptp.r1 @t3 @t1))) % 126.40/129.39 (define @t8 () (forall @t2 (or @t7 @t6))) % 126.40/129.39 (define @t9 () (not (tptp.r1 @t1 @t3))) % 126.40/129.39 (define @t10 () (or @t9 @t8 @t5)) % 126.40/129.39 (define @t11 () (@list @t3)) % 126.40/129.39 (define @t12 () (forall @t11 @t10)) % 126.40/129.39 (define @t13 () (not @t12)) % 126.40/129.39 (define @t14 () (or @t7 @t6 @t13)) % 126.40/129.39 (define @t15 () (forall @t2 @t14)) % 126.40/129.39 (define @t16 () (not @t15)) % 126.40/129.39 (define @t17 () (forall @t11 (or @t9 @t4))) % 126.40/129.39 (define @t18 () (not @t17)) % 126.40/129.39 (define @t19 () (or @t7 @t18)) % 126.40/129.39 (define @t20 () (forall @t2 @t19)) % 126.40/129.39 (define @t21 () (or @t9 @t8 @t20 @t16)) % 126.40/129.39 (define @t22 () (forall @t11 @t21)) % 126.40/129.39 (define @t23 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t24 () (not (tptp.p1 @t23))) % 126.40/129.39 (define @t25 () (forall @t2 (or (not (tptp.r1 @t23 @t1)) @t6))) % 126.40/129.39 (define @t26 () (not (tptp.r1 @t1 @t23))) % 126.40/129.39 (define @t27 () (or @t26 @t25 @t24)) % 126.40/129.39 (define @t28 () (@list @t23)) % 126.40/129.39 (define @t29 () (forall @t28 @t27)) % 126.40/129.39 (define @t30 () (not @t29)) % 126.40/129.39 (define @t31 () (or @t7 @t6 @t30)) % 126.40/129.39 (define @t32 () (forall @t2 @t31)) % 126.40/129.39 (define @t33 () (not @t32)) % 126.40/129.39 (define @t34 () (not @t6)) % 126.40/129.39 (define @t35 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t36 () (tptp.p1 @t35)) % 126.40/129.39 (define @t37 () (@list @t35)) % 126.40/129.39 (define @t38 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t39 () (forall @t2 (or (not (tptp.r1 @t38 @t1)) (forall @t37 (or (not (tptp.r1 @t1 @t35)) @t36)) @t34))) % 126.40/129.39 (define @t40 () (not @t39)) % 126.40/129.39 (define @t41 () (tptp.p1 @t38)) % 126.40/129.39 (define @t42 () (not (tptp.r1 @t1 @t38))) % 126.40/129.39 (define @t43 () (or @t42 @t41 @t40)) % 126.40/129.39 (define @t44 () (@list @t38)) % 126.40/129.39 (define @t45 () (forall @t44 @t43)) % 126.40/129.39 (define @t46 () (or @t7 @t45)) % 126.40/129.39 (define @t47 () (forall @t2 @t46)) % 126.40/129.39 (define @t48 () (or @t47 @t33)) % 126.40/129.39 (define @t49 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t50 () (tptp.p1 @t49)) % 126.40/129.39 (define @t51 () (@list @t49)) % 126.40/129.39 (define @t52 () (not (forall @t51 (or (not (tptp.r1 @t1 @t49)) @t50)))) % 126.40/129.39 (define @t53 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t54 () (forall @t2 (or (not (tptp.r1 @t53 @t1)) @t6))) % 126.40/129.39 (define @t55 () (not (tptp.r1 @t1 @t53))) % 126.40/129.39 (define @t56 () (or @t55 @t54)) % 126.40/129.39 (define @t57 () (@list @t53)) % 126.40/129.39 (define @t58 () (forall @t57 @t56)) % 126.40/129.39 (define @t59 () (or @t7 @t58 @t52)) % 126.40/129.39 (define @t60 () (forall @t2 @t59)) % 126.40/129.39 (define @t61 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t62 () (not (tptp.p1 @t61))) % 126.40/129.39 (define @t63 () (forall @t2 (or (not (tptp.r1 @t61 @t1)) @t6))) % 126.40/129.39 (define @t64 () (not (tptp.r1 @t1 @t61))) % 126.40/129.39 (define @t65 () (or @t64 @t63 @t62)) % 126.40/129.39 (define @t66 () (@list @t61)) % 126.40/129.39 (define @t67 () (forall @t66 @t65)) % 126.40/129.39 (define @t68 () (not @t67)) % 126.40/129.39 (define @t69 () (or @t7 @t6 @t68)) % 126.40/129.39 (define @t70 () (forall @t2 @t69)) % 126.40/129.39 (define @t71 () (not @t70)) % 126.40/129.39 (define @t72 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t73 () (tptp.p1 @t72)) % 126.40/129.39 (define @t74 () (@list @t72)) % 126.40/129.39 (define @t75 () (forall @t2 (or @t7 (not (forall @t74 (or (not (tptp.r1 @t1 @t72)) @t73)))))) % 126.40/129.39 (define @t76 () (or @t4 @t75 @t71)) % 126.40/129.39 (define @t77 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t78 () (tptp.p1 @t77)) % 126.40/129.39 (define @t79 () (not @t78)) % 126.40/129.39 (define @t80 () (not (tptp.r1 @t77 @t1))) % 126.40/129.39 (define @t81 () (forall @t2 (or @t80 @t6))) % 126.40/129.39 (define @t82 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t83 () (tptp.p1 @t82)) % 126.40/129.39 (define @t84 () (@list @t82)) % 126.40/129.39 (define @t85 () (forall @t2 (or @t80 (forall @t84 (or (not (tptp.r1 @t1 @t82)) @t83)) @t34))) % 126.40/129.39 (define @t86 () (not (tptp.r1 @t1 @t77))) % 126.40/129.39 (define @t87 () (or @t86 @t85 (not (or @t81 @t79)))) % 126.40/129.39 (define @t88 () (@list @t77)) % 126.40/129.39 (define @t89 () (forall @t88 @t87)) % 126.40/129.39 (define @t90 () (not @t89)) % 126.40/129.39 (define @t91 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t92 () (tptp.p1 @t91)) % 126.40/129.39 (define @t93 () (@list @t91)) % 126.40/129.39 (define @t94 () (forall @t93 (or (not (tptp.r1 @t1 @t91)) @t92))) % 126.40/129.39 (define @t95 () (or @t7 @t94 @t34 @t90)) % 126.40/129.39 (define @t96 () (forall @t2 @t95)) % 126.40/129.39 (define @t97 () (not @t96)) % 126.40/129.39 (define @t98 () (@var "Y" $$unsorted)) % 126.40/129.39 (define @t99 () (not (tptp.p1 @t98))) % 126.40/129.39 (define @t100 () (forall @t2 (or (not (tptp.r1 @t98 @t1)) @t6))) % 126.40/129.39 (define @t101 () (not (tptp.r1 @t1 @t98))) % 126.40/129.39 (define @t102 () (or @t101 @t100 @t99)) % 126.40/129.39 (define @t103 () (@list @t98)) % 126.40/129.39 (define @t104 () (forall @t103 @t102)) % 126.40/129.39 (define @t105 () (not @t104)) % 126.40/129.39 (define @t106 () (or @t7 @t105)) % 126.40/129.39 (define @t107 () (forall @t2 @t106)) % 126.40/129.39 (define @t108 () (or @t8 @t5 @t107 @t97)) % 126.40/129.39 (define @t109 () (and @t108 @t76 @t60 @t48)) % 126.40/129.39 (define @t110 () (or @t9 @t109)) % 126.40/129.39 (define @t111 () (forall @t11 @t110)) % 126.40/129.39 (define @t112 () (not @t111)) % 126.40/129.39 (define @t113 () (or @t112 (not (not @t22)))) % 126.40/129.39 (define @t114 () (not @t113)) % 126.40/129.39 (define @t115 () (exists @t2 @t114)) % 126.40/129.39 (define @t116 () (@var "BOUND_VARIABLE_7753" $$unsorted)) % 126.40/129.39 (define @t117 () (not (tptp.p1 @t116))) % 126.40/129.39 (define @t118 () (@var "BOUND_VARIABLE_7737" $$unsorted)) % 126.40/129.39 (define @t119 () (tptp.p1 @t118)) % 126.40/129.39 (define @t120 () (@list @t118)) % 126.40/129.39 (define @t121 () (forall @t120 (or (not (tptp.r1 @t116 @t118)) @t119))) % 126.40/129.39 (define @t122 () (@list @t116)) % 126.40/129.39 (define @t123 () (forall @t2 (or @t7 @t6 (not (forall @t122 (or (not (tptp.r1 @t1 @t116)) @t121 @t117)))))) % 126.40/129.39 (define @t124 () (@list @t1)) % 126.40/129.39 (define @t125 () (@var "BOUND_VARIABLE_7790" $$unsorted)) % 126.40/129.39 (define @t126 () (not @t123)) % 126.40/129.39 (define @t127 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 126.40/129.39 (define @t128 () (tptp.p1 @t127)) % 126.40/129.39 (define @t129 () (@list @t127)) % 126.40/129.39 (define @t130 () (forall @t2 (or @t7 (not (forall @t129 (or (not (tptp.r1 @t1 @t127)) @t128)))))) % 126.40/129.39 (define @t131 () (@var "BOUND_VARIABLE_7804" $$unsorted)) % 126.40/129.39 (define @t132 () (@var "BOUND_VARIABLE_7816" $$unsorted)) % 126.40/129.39 (define @t133 () (or @t9 @t8 @t130 @t126)) % 126.40/129.39 (define @t134 () (forall @t11 @t133)) % 126.40/129.39 (define @t135 () (@var "BOUND_VARIABLE_7718" $$unsorted)) % 126.40/129.39 (define @t136 () (forall (@list @t135) (or (not (tptp.r1 @t23 @t135)) (tptp.p1 @t135)))) % 126.40/129.39 (define @t137 () (forall @t2 (or @t7 @t6 (not (forall @t28 (or @t26 @t136 @t24)))))) % 126.40/129.39 (define @t138 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 126.40/129.39 (define @t139 () (not @t137)) % 126.40/129.39 (define @t140 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 126.40/129.39 (define @t141 () (not (forall (@list @t140) (or (not (tptp.r1 @t38 @t140)) (forall @t37 (or (not (tptp.r1 @t140 @t35)) @t36)) (not (tptp.p1 @t140)))))) % 126.40/129.39 (define @t142 () (forall @t2 (or @t7 (forall @t44 (or @t42 @t41 @t141))))) % 126.40/129.39 (define @t143 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 126.40/129.39 (define @t144 () (or @t142 @t139)) % 126.40/129.39 (define @t145 () (@var "BOUND_VARIABLE_7688" $$unsorted)) % 126.40/129.39 (define @t146 () (tptp.p1 @t145)) % 126.40/129.39 (define @t147 () (@list @t145)) % 126.40/129.39 (define @t148 () (forall @t147 (or (not (tptp.r1 @t53 @t145)) @t146))) % 126.40/129.39 (define @t149 () (forall @t2 (or @t7 (forall @t57 (or @t55 @t148)) @t52))) % 126.40/129.39 (define @t150 () (@var "BOUND_VARIABLE_7852" $$unsorted)) % 126.40/129.39 (define @t151 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 126.40/129.39 (define @t152 () (forall (@list @t151) (or (not (tptp.r1 @t61 @t151)) (tptp.p1 @t151)))) % 126.40/129.39 (define @t153 () (forall @t2 (or @t7 @t6 (not (forall @t66 (or @t64 @t152 @t62)))))) % 126.40/129.39 (define @t154 () (@var "BOUND_VARIABLE_7868" $$unsorted)) % 126.40/129.39 (define @t155 () (not @t153)) % 126.40/129.39 (define @t156 () (@var "BOUND_VARIABLE_7882" $$unsorted)) % 126.40/129.39 (define @t157 () (or @t4 @t75 @t155)) % 126.40/129.39 (define @t158 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 126.40/129.39 (define @t159 () (tptp.p1 @t158)) % 126.40/129.39 (define @t160 () (@list @t158)) % 126.40/129.39 (define @t161 () (and (not (forall @t160 (or (not (tptp.r1 @t77 @t158)) @t159))) @t78)) % 126.40/129.39 (define @t162 () (@var "BOUND_VARIABLE_7653" $$unsorted)) % 126.40/129.39 (define @t163 () (not (tptp.p1 @t162))) % 126.40/129.39 (define @t164 () (forall @t84 (or (not (tptp.r1 @t162 @t82)) @t83))) % 126.40/129.39 (define @t165 () (@list @t162)) % 126.40/129.39 (define @t166 () (forall @t165 (or (not (tptp.r1 @t77 @t162)) @t164 @t163))) % 126.40/129.39 (define @t167 () (forall @t2 (or @t7 @t94 @t34 (not (forall @t88 (or @t86 @t166 @t161)))))) % 126.40/129.39 (define @t168 () (@var "BOUND_VARIABLE_7895" $$unsorted)) % 126.40/129.39 (define @t169 () (not @t167)) % 126.40/129.39 (define @t170 () (@var "BOUND_VARIABLE_7623" $$unsorted)) % 126.40/129.39 (define @t171 () (forall (@list @t170) (or (not (tptp.r1 @t98 @t170)) (tptp.p1 @t170)))) % 126.40/129.39 (define @t172 () (forall @t2 (or @t7 (not (forall @t103 (or @t101 @t171 @t99)))))) % 126.40/129.39 (define @t173 () (@var "BOUND_VARIABLE_7914" $$unsorted)) % 126.40/129.39 (define @t174 () (or @t8 @t5 @t172 @t169)) % 126.40/129.39 (define @t175 () (and @t174 @t157 @t149 @t144)) % 126.40/129.39 (define @t176 () (or @t9 @t175)) % 126.40/129.39 (define @t177 () (forall @t11 @t176)) % 126.40/129.39 (define @t178 () (not @t177)) % 126.40/129.39 (define @t179 () (or @t178 @t134)) % 126.40/129.39 (define @t180 () (not @t179)) % 126.40/129.39 (define @t181 () (forall @t2 (not @t180))) % 126.40/129.39 (define @t182 () (not @t181)) % 126.40/129.39 (define @t183 () (forall @t11 (or @t9 (forall @t120 (or (not (tptp.r1 @t3 @t118)) @t119)) @t5))) % 126.40/129.39 (define @t184 () (@list @t3)) % 126.40/129.39 (define @t185 () (not @t183)) % 126.40/129.39 (define @t186 () (or @t7 @t6 @t185)) % 126.40/129.39 (define @t187 () (forall @t2 @t186)) % 126.40/129.39 (define @t188 () (not @t187)) % 126.40/129.39 (define @t189 () (@list @t127)) % 126.40/129.39 (define @t190 () (or @t9 @t8 @t20 @t188)) % 126.40/129.39 (define @t191 () (@list @t118)) % 126.40/129.39 (define @t192 () (@list @t145)) % 126.40/129.39 (define @t193 () (not @t81)) % 126.40/129.39 (define @t194 () (and @t193 @t78)) % 126.40/129.39 (define @t195 () (or @t86 @t85 @t194)) % 126.40/129.39 (define @t196 () (forall @t88 @t195)) % 126.40/129.39 (define @t197 () (not @t196)) % 126.40/129.39 (define @t198 () (or @t7 @t94 @t34 @t197)) % 126.40/129.39 (define @t199 () (not (forall @t28 (or (not (tptp.r1 @t138 @t23)) @t136 @t24)))) % 126.40/129.39 (define @t200 () (tptp.p1 @t138)) % 126.40/129.39 (define @t201 () (@list @t138)) % 126.40/129.39 (define @t202 () (forall @t44 (or (not (tptp.r1 @t143 @t38)) @t41 @t141))) % 126.40/129.39 (define @t203 () (@list @t143)) % 126.40/129.39 (define @t204 () (not (forall @t51 (or (not (tptp.r1 @t150 @t49)) @t50)))) % 126.40/129.39 (define @t205 () (forall @t57 (or (not (tptp.r1 @t150 @t53)) @t148))) % 126.40/129.39 (define @t206 () (@list @t150)) % 126.40/129.39 (define @t207 () (not (forall @t66 (or (not (tptp.r1 @t154 @t61)) @t152 @t62)))) % 126.40/129.39 (define @t208 () (tptp.p1 @t154)) % 126.40/129.39 (define @t209 () (@list @t154)) % 126.40/129.39 (define @t210 () (not (forall @t74 (or (not (tptp.r1 @t156 @t72)) @t73)))) % 126.40/129.39 (define @t211 () (@list @t156)) % 126.40/129.39 (define @t212 () (not (forall @t88 (or (not (tptp.r1 @t168 @t77)) @t166 @t161)))) % 126.40/129.39 (define @t213 () (not (tptp.p1 @t168))) % 126.40/129.39 (define @t214 () (forall @t93 (or (not (tptp.r1 @t168 @t91)) @t92))) % 126.40/129.39 (define @t215 () (@list @t168)) % 126.40/129.39 (define @t216 () (not (forall @t103 (or (not (tptp.r1 @t173 @t98)) @t171 @t99)))) % 126.40/129.39 (define @t217 () (@list @t173)) % 126.40/129.39 (define @t218 () (tptp.p1 @t132)) % 126.40/129.39 (define @t219 () (@list @t132)) % 126.40/129.39 (define @t220 () (forall @t219 (or (not (tptp.r1 @t3 @t132)) @t218))) % 126.40/129.39 (define @t221 () (and (or @t220 @t5 (forall @t217 (or (not (tptp.r1 @t3 @t173)) @t216)) (not (forall @t215 (or (not (tptp.r1 @t3 @t168)) @t214 @t213 @t212)))) (or @t4 (forall @t211 (or (not (tptp.r1 @t3 @t156)) @t210)) (not (forall @t209 (or (not (tptp.r1 @t3 @t154)) @t208 @t207)))) (forall @t206 (or (not (tptp.r1 @t3 @t150)) @t205 @t204)) (or (forall @t203 (or (not (tptp.r1 @t3 @t143)) @t202)) (not (forall @t201 (or (not (tptp.r1 @t3 @t138)) @t200 @t199)))))) % 126.40/129.39 (define @t222 () (not (forall @t122 (or (not (tptp.r1 @t125 @t116)) @t121 @t117)))) % 126.40/129.39 (define @t223 () (tptp.p1 @t125)) % 126.40/129.39 (define @t224 () (@list @t125)) % 126.40/129.39 (define @t225 () (not (forall @t224 (or (not (tptp.r1 @t3 @t125)) @t223 @t222)))) % 126.40/129.39 (define @t226 () (not (forall @t129 (or (not (tptp.r1 @t131 @t127)) @t128)))) % 126.40/129.39 (define @t227 () (@list @t131)) % 126.40/129.39 (define @t228 () (forall @t227 (or (not (tptp.r1 @t3 @t131)) @t226))) % 126.40/129.39 (define @t229 () (@quantifiers_skolemize (forall @t2 (or (not (forall @t11 (or @t9 @t221))) (forall @t11 (or @t9 @t220 @t228 @t225)))) 0)) % 126.40/129.39 (define @t230 () (not (tptp.r1 @t229 @t3))) % 126.40/129.39 (define @t231 () (forall @t11 (or @t230 @t221))) % 126.40/129.39 (define @t232 () (forall @t11 (or @t230 @t220 @t228 @t225))) % 126.40/129.39 (define @t233 () (not @t231)) % 126.40/129.39 (define @t234 () (or @t233 @t232)) % 126.40/129.39 (define @t235 () (@list true)) % 126.40/129.39 (define @t236 () (@list @t234)) % 126.40/129.39 (define @t237 () (@quantifiers_skolemize @t232 0)) % 126.40/129.39 (define @t238 () (tptp.r1 @t229 @t237)) % 126.40/129.39 (define @t239 () (forall @t224 (or (not (tptp.r1 @t237 @t125)) @t223 @t222))) % 126.40/129.39 (define @t240 () (not @t239)) % 126.40/129.39 (define @t241 () (forall @t227 (or (not (tptp.r1 @t237 @t131)) @t226))) % 126.40/129.39 (define @t242 () (forall @t219 (or (not (tptp.r1 @t237 @t132)) @t218))) % 126.40/129.39 (define @t243 () (not @t238)) % 126.40/129.39 (define @t244 () (or @t243 @t242 @t241 @t240)) % 126.40/129.39 (define @t245 () (@list @t244)) % 126.40/129.39 (define @t246 () (forall @t201 (or (not (tptp.r1 @t237 @t138)) @t200 @t199))) % 126.40/129.39 (define @t247 () (not @t246)) % 126.40/129.39 (define @t248 () (forall @t203 (or (not (tptp.r1 @t237 @t143)) @t202))) % 126.40/129.39 (define @t249 () (or @t248 @t247)) % 126.40/129.39 (define @t250 () (forall @t206 (or (not (tptp.r1 @t237 @t150)) @t205 @t204))) % 126.40/129.39 (define @t251 () (forall @t209 (or (not (tptp.r1 @t237 @t154)) @t208 @t207))) % 126.40/129.39 (define @t252 () (not @t251)) % 126.40/129.39 (define @t253 () (forall @t211 (or (not (tptp.r1 @t237 @t156)) @t210))) % 126.40/129.39 (define @t254 () (tptp.p1 @t237)) % 126.40/129.39 (define @t255 () (or @t254 @t253 @t252)) % 126.40/129.39 (define @t256 () (forall @t215 (or (not (tptp.r1 @t237 @t168)) @t214 @t213 @t212))) % 126.40/129.39 (define @t257 () (not @t256)) % 126.40/129.39 (define @t258 () (forall @t217 (or (not (tptp.r1 @t237 @t173)) @t216))) % 126.40/129.39 (define @t259 () (not @t254)) % 126.40/129.39 (define @t260 () (or @t242 @t259 @t258 @t257)) % 126.40/129.39 (define @t261 () (and @t260 @t255 @t250 @t249)) % 126.40/129.39 (define @t262 () (or @t243 @t261)) % 126.40/129.39 (define @t263 () (@list false false)) % 126.40/129.39 (define @t264 () (not @t261)) % 126.40/129.39 (define @t265 () (@list false)) % 126.40/129.39 (define @t266 () (@list @t261)) % 126.40/129.39 (define @t267 () (@list @t116 @t118 @t125)) % 126.40/129.39 (define @t268 () (@list @t239)) % 126.40/129.39 (define @t269 () (@quantifiers_skolemize @t256 0)) % 126.40/129.39 (define @t270 () (@quantifiers_skolemize @t241 0)) % 126.40/129.39 (define @t271 () (forall @t122 (or (not (tptp.r1 @t270 @t116)) @t121 @t117))) % 126.40/129.39 (define @t272 () (@quantifiers_skolemize @t271 0)) % 126.40/129.39 (define @t273 () (tptp.r1 @t270 @t272)) % 126.40/129.39 (define @t274 () (forall @t120 (or (not (tptp.r1 @t272 @t118)) @t119))) % 126.40/129.39 (define @t275 () (not @t273)) % 126.40/129.39 (define @t276 () (or @t275 @t274 (not (tptp.p1 @t272)))) % 126.40/129.39 (define @t277 () (@list @t270)) % 126.40/129.39 (define @t278 () (forall @t129 (or (not (tptp.r1 @t270 @t127)) @t128))) % 126.40/129.39 (define @t279 () (not @t278)) % 126.40/129.39 (define @t280 () (tptp.r1 @t237 @t270)) % 126.40/129.39 (define @t281 () (not @t280)) % 126.40/129.39 (define @t282 () (or @t281 @t279)) % 126.40/129.39 (define @t283 () (@list @t282)) % 126.40/129.39 (define @t284 () (forall @t51 (or (not (tptp.r1 @t270 @t49)) @t50))) % 126.40/129.39 (define @t285 () (not @t284)) % 126.40/129.39 (define @t286 () (forall @t57 (or (not (tptp.r1 @t270 @t53)) @t148))) % 126.40/129.39 (define @t287 () (or @t281 @t286 @t285)) % 126.40/129.39 (define @t288 () (forall @t147 (or (not (tptp.r1 @t272 @t145)) @t146))) % 126.40/129.39 (define @t289 () (or @t275 @t288)) % 126.40/129.39 (define @t290 () (not @t276)) % 126.40/129.39 (define @t291 () (not @t271)) % 126.40/129.39 (define @t292 () (@list @t118 @t116)) % 126.40/129.39 (define @t293 () (forall @t103 (or (not (tptp.r1 @t270 @t98)) @t171 @t99))) % 126.40/129.39 (define @t294 () (not @t293)) % 126.40/129.39 (define @t295 () (or @t281 @t294)) % 126.40/129.39 (define @t296 () (not @t295)) % 126.40/129.39 (define @t297 () (@list @t61 @t151 @t154)) % 126.40/129.39 (define @t298 () (forall @t88 (or (not (tptp.r1 @t269 @t77)) @t166 @t161))) % 126.40/129.39 (define @t299 () (not @t298)) % 126.40/129.39 (define @t300 () (forall @t93 (or (not (tptp.r1 @t269 @t91)) @t92))) % 126.40/129.39 (define @t301 () (tptp.r1 @t237 @t269)) % 126.40/129.39 (define @t302 () (not @t301)) % 126.40/129.39 (define @t303 () (or @t302 @t300 (not (tptp.p1 @t269)) @t299)) % 126.40/129.39 (define @t304 () (not @t303)) % 126.40/129.39 (define @t305 () (@list @t303)) % 126.40/129.39 (define @t306 () (forall @t44 (or (not (tptp.r1 @t269 @t38)) @t41 @t141))) % 126.40/129.39 (define @t307 () (or @t302 @t306)) % 126.40/129.39 (define @t308 () (forall @t209 (or (not (tptp.r1 @t269 @t154)) @t208 @t207))) % 126.40/129.39 (define @t309 () (@quantifiers_skolemize @t300 0)) % 126.40/129.39 (define @t310 () (@list @t309)) % 126.40/129.39 (define @t311 () (tptp.p1 @t309)) % 126.40/129.39 (define @t312 () (and (not (forall @t160 (or (not (tptp.r1 @t309 @t158)) @t159))) @t311)) % 126.40/129.39 (define @t313 () (forall @t165 (or (not (tptp.r1 @t309 @t162)) @t164 @t163))) % 126.40/129.39 (define @t314 () (tptp.r1 @t269 @t309)) % 126.40/129.39 (define @t315 () (not @t314)) % 126.40/129.39 (define @t316 () (or @t315 @t313 @t312)) % 126.40/129.39 (define @t317 () (not @t300)) % 126.40/129.39 (define @t318 () (or @t315 @t311)) % 126.40/129.39 (define @t319 () (not @t318)) % 126.40/129.39 (define @t320 () (@list @t318)) % 126.40/129.39 (define @t321 () (not @t312)) % 126.40/129.39 (define @t322 () (@list false true false)) % 126.40/129.39 (define @t323 () (forall @t122 (or (not (tptp.r1 @t309 @t116)) @t121 @t117))) % 126.40/129.39 (define @t324 () (forall @t66 (or (not (tptp.r1 @t309 @t61)) @t152 @t62))) % 126.40/129.39 (define @t325 () (not @t324)) % 126.40/129.39 (define @t326 () (or @t315 @t311 @t325)) % 126.40/129.39 (define @t327 () (not @t326)) % 126.40/129.39 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 126.40/129.39 (assume @p2 (not (not @t115))) % 126.40/129.39 (assume @p3 true) % 126.40/129.39 (step @p4 :rule alpha_equiv :args (@t123 @t124 (@list @t125))) % 126.40/129.39 (step @p5 :rule cong :premises (@p4) :args (@t126)) % 126.40/129.39 (step @p6 :rule alpha_equiv :args (@t130 @t124 (@list @t131))) % 126.40/129.39 (step @p7 :rule alpha_equiv :args (@t8 @t124 (@list @t132))) % 126.40/129.39 (step @p8 :rule refl :args (@t9)) % 126.40/129.39 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6 @p5) :args (@t133)) % 126.40/129.39 (step @p10 :rule cong :premises (@p9) :args (@t134)) % 126.40/129.39 (step @p11 :rule alpha_equiv :args (@t137 @t124 (@list @t138))) % 126.40/129.39 (step @p12 :rule cong :premises (@p11) :args (@t139)) % 126.40/129.39 (step @p13 :rule alpha_equiv :args (@t142 @t124 (@list @t143))) % 126.40/129.39 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t144)) % 126.40/129.39 (step @p15 :rule alpha_equiv :args (@t149 @t124 (@list @t150))) % 126.40/129.39 (step @p16 :rule alpha_equiv :args (@t153 @t124 (@list @t154))) % 126.40/129.39 (step @p17 :rule cong :premises (@p16) :args (@t155)) % 126.40/129.39 (step @p18 :rule alpha_equiv :args (@t75 @t124 (@list @t156))) % 126.40/129.39 (step @p19 :rule refl :args (@t4)) % 126.40/129.39 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t157)) % 126.40/129.39 (step @p21 :rule alpha_equiv :args (@t167 @t124 (@list @t168))) % 126.40/129.39 (step @p22 :rule cong :premises (@p21) :args (@t169)) % 126.40/129.39 (step @p23 :rule alpha_equiv :args (@t172 @t124 (@list @t173))) % 126.40/129.39 (step @p24 :rule refl :args (@t5)) % 126.40/129.39 (step @p25 :rule nary_cong :premises (@p7 @p24 @p23 @p22) :args (@t174)) % 126.40/129.39 (step @p26 :rule nary_cong :premises (@p25 @p20 @p15 @p14) :args (@t175)) % 126.40/129.39 (step @p27 :rule nary_cong :premises (@p8 @p26) :args (@t176)) % 126.40/129.39 (step @p28 :rule cong :premises (@p27) :args (@t177)) % 126.40/129.39 (step @p29 :rule cong :premises (@p28) :args (@t178)) % 126.40/129.39 (step @p30 :rule nary_cong :premises (@p29 @p10) :args (@t179)) % 126.40/129.39 (step @p31 :rule cong :premises (@p30) :args ((forall @t2 @t179))) % 126.40/129.39 (step @p32 :rule bool-double-not-elim :args (@t179)) % 126.40/129.39 (step @p33 :rule cong :premises (@p32) :args (@t181)) % 126.40/129.39 (step @p34 :rule trans :premises (@p33 @p31)) % 126.40/129.39 (step @p35 :rule cong :premises (@p34) :args (@t182)) % 126.40/129.39 (step @p36 :rule exists-elim :args ((= (exists @t2 @t180) @t182))) % 126.40/129.39 (step @p37 :rule trans :premises (@p36 @p35)) % 126.40/129.39 (step @p38 :rule alpha_equiv :args (@t183 @t184 (@list @t116))) % 126.40/129.39 (step @p39 :rule cong :premises (@p38) :args (@t185)) % 126.40/129.39 (step @p40 :rule refl :args (@t6)) % 126.40/129.39 (step @p41 :rule refl :args (@t7)) % 126.40/129.39 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args (@t186)) % 126.40/129.39 (step @p43 :rule cong :premises (@p42) :args (@t187)) % 126.40/129.39 (step @p44 :rule cong :premises (@p43) :args (@t188)) % 126.40/129.39 (step @p45 :rule alpha_equiv :args (@t17 @t184 @t189)) % 126.40/129.39 (step @p46 :rule cong :premises (@p45) :args (@t18)) % 126.40/129.39 (step @p47 :rule nary_cong :premises (@p41 @p46) :args (@t19)) % 126.40/129.39 (step @p48 :rule cong :premises (@p47) :args (@t20)) % 126.40/129.39 (step @p49 :rule refl :args (@t8)) % 126.40/129.39 (step @p50 :rule nary_cong :premises (@p8 @p49 @p48 @p44) :args (@t190)) % 126.40/129.39 (step @p51 :rule cong :premises (@p50) :args ((forall @t11 @t190))) % 126.40/129.39 (step @p52 :rule alpha_equiv :args (@t8 @t124 @t191)) % 126.40/129.39 (step @p53 :rule nary_cong :premises (@p8 @p52 @p24) :args (@t10)) % 126.40/129.39 (step @p54 :rule cong :premises (@p53) :args (@t12)) % 126.40/129.39 (step @p55 :rule cong :premises (@p54) :args (@t13)) % 126.40/129.39 (step @p56 :rule nary_cong :premises (@p41 @p40 @p55) :args (@t14)) % 126.40/129.39 (step @p57 :rule cong :premises (@p56) :args (@t15)) % 126.40/129.39 (step @p58 :rule cong :premises (@p57) :args (@t16)) % 126.40/129.39 (step @p59 :rule refl :args (@t20)) % 126.40/129.39 (step @p60 :rule refl :args (@t8)) % 126.40/129.39 (step @p61 :rule refl :args (@t9)) % 126.40/129.39 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59 @p58) :args (@t21)) % 126.40/129.39 (step @p63 :rule cong :premises (@p62) :args (@t22)) % 126.40/129.39 (step @p64 :rule trans :premises (@p63 @p51)) % 126.40/129.39 (step @p65 :rule bool-double-not-elim :args (@t22)) % 126.40/129.39 (step @p66 :rule trans :premises (@p65 @p64)) % 126.40/129.39 (step @p67 :rule refl :args (@t24)) % 126.40/129.39 (step @p68 :rule alpha_equiv :args (@t25 @t124 (@list @t135))) % 126.40/129.39 (step @p69 :rule refl :args (@t26)) % 126.40/129.39 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args (@t27)) % 126.40/129.39 (step @p71 :rule cong :premises (@p70) :args (@t29)) % 126.40/129.39 (step @p72 :rule cong :premises (@p71) :args (@t30)) % 126.40/129.39 (step @p73 :rule nary_cong :premises (@p41 @p40 @p72) :args (@t31)) % 126.40/129.39 (step @p74 :rule cong :premises (@p73) :args (@t32)) % 126.40/129.39 (step @p75 :rule cong :premises (@p74) :args (@t33)) % 126.40/129.39 (step @p76 :rule alpha_equiv :args (@t39 @t124 (@list @t140))) % 126.40/129.39 (step @p77 :rule cong :premises (@p76) :args (@t40)) % 126.40/129.39 (step @p78 :rule refl :args (@t41)) % 126.40/129.39 (step @p79 :rule refl :args (@t42)) % 126.40/129.39 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t43)) % 126.40/129.39 (step @p81 :rule cong :premises (@p80) :args (@t45)) % 126.40/129.39 (step @p82 :rule nary_cong :premises (@p41 @p81) :args (@t46)) % 126.40/129.39 (step @p83 :rule cong :premises (@p82) :args (@t47)) % 126.40/129.39 (step @p84 :rule nary_cong :premises (@p83 @p75) :args (@t48)) % 126.40/129.39 (step @p85 :rule refl :args (@t52)) % 126.40/129.39 (step @p86 :rule alpha_equiv :args (@t54 @t124 @t192)) % 126.40/129.39 (step @p87 :rule refl :args (@t55)) % 126.40/129.39 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t56)) % 126.40/129.39 (step @p89 :rule cong :premises (@p88) :args (@t58)) % 126.40/129.39 (step @p90 :rule nary_cong :premises (@p41 @p89 @p85) :args (@t59)) % 126.40/129.39 (step @p91 :rule cong :premises (@p90) :args (@t60)) % 126.40/129.39 (step @p92 :rule refl :args (@t62)) % 126.40/129.39 (step @p93 :rule alpha_equiv :args (@t63 @t124 (@list @t151))) % 126.40/129.39 (step @p94 :rule refl :args (@t64)) % 126.40/129.39 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args (@t65)) % 126.40/129.39 (step @p96 :rule cong :premises (@p95) :args (@t67)) % 126.40/129.39 (step @p97 :rule cong :premises (@p96) :args (@t68)) % 126.40/129.39 (step @p98 :rule nary_cong :premises (@p41 @p40 @p97) :args (@t69)) % 126.40/129.39 (step @p99 :rule cong :premises (@p98) :args (@t70)) % 126.40/129.39 (step @p100 :rule cong :premises (@p99) :args (@t71)) % 126.40/129.39 (step @p101 :rule refl :args (@t75)) % 126.40/129.39 (step @p102 :rule refl :args (@t4)) % 126.40/129.39 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args (@t76)) % 126.40/129.39 (step @p104 :rule refl :args (@t78)) % 126.40/129.39 (step @p105 :rule alpha_equiv :args (@t81 @t124 (@list @t158))) % 126.40/129.39 (step @p106 :rule cong :premises (@p105) :args (@t193)) % 126.40/129.39 (step @p107 :rule nary_cong :premises (@p106 @p104) :args (@t194)) % 126.40/129.39 (step @p108 :rule alpha_equiv :args (@t85 @t124 (@list @t162))) % 126.40/129.39 (step @p109 :rule refl :args (@t86)) % 126.40/129.39 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t195)) % 126.40/129.39 (step @p111 :rule cong :premises (@p110) :args (@t196)) % 126.40/129.39 (step @p112 :rule cong :premises (@p111) :args (@t197)) % 126.40/129.39 (step @p113 :rule refl :args (@t34)) % 126.40/129.39 (step @p114 :rule refl :args (@t94)) % 126.40/129.39 (step @p115 :rule nary_cong :premises (@p41 @p114 @p113 @p112) :args (@t198)) % 126.40/129.39 (step @p116 :rule cong :premises (@p115) :args ((forall @t2 @t198))) % 126.40/129.39 (step @p117 :rule bool-double-not-elim :args (@t78)) % 126.40/129.39 (step @p118 :rule refl :args (@t193)) % 126.40/129.39 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((and @t193 (not @t79)))) % 126.40/129.39 (step @p120 :rule bool-or-de-morgan :args (@t81 @t79 false)) % 126.40/129.39 (step @p121 :rule trans :premises (@p120 @p119)) % 126.40/129.39 (step @p122 :rule refl :args (@t85)) % 126.40/129.39 (step @p123 :rule nary_cong :premises (@p109 @p122 @p121) :args (@t87)) % 126.40/129.39 (step @p124 :rule cong :premises (@p123) :args (@t89)) % 126.40/129.39 (step @p125 :rule cong :premises (@p124) :args (@t90)) % 126.40/129.39 (step @p126 :rule refl :args (@t34)) % 126.40/129.39 (step @p127 :rule refl :args (@t94)) % 126.40/129.39 (step @p128 :rule refl :args (@t7)) % 126.40/129.39 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125) :args (@t95)) % 126.40/129.39 (step @p130 :rule cong :premises (@p129) :args (@t96)) % 126.40/129.39 (step @p131 :rule trans :premises (@p130 @p116)) % 126.40/129.39 (step @p132 :rule cong :premises (@p131) :args (@t97)) % 126.40/129.39 (step @p133 :rule refl :args (@t99)) % 126.40/129.39 (step @p134 :rule alpha_equiv :args (@t100 @t124 (@list @t170))) % 126.40/129.39 (step @p135 :rule refl :args (@t101)) % 126.40/129.39 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args (@t102)) % 126.40/129.39 (step @p137 :rule cong :premises (@p136) :args (@t104)) % 126.40/129.39 (step @p138 :rule cong :premises (@p137) :args (@t105)) % 126.40/129.39 (step @p139 :rule nary_cong :premises (@p41 @p138) :args (@t106)) % 126.40/129.39 (step @p140 :rule cong :premises (@p139) :args (@t107)) % 126.40/129.39 (step @p141 :rule refl :args (@t5)) % 126.40/129.39 (step @p142 :rule nary_cong :premises (@p60 @p141 @p140 @p132) :args (@t108)) % 126.40/129.39 (step @p143 :rule nary_cong :premises (@p142 @p103 @p91 @p84) :args (@t109)) % 126.40/129.39 (step @p144 :rule nary_cong :premises (@p61 @p143) :args (@t110)) % 126.40/129.39 (step @p145 :rule cong :premises (@p144) :args (@t111)) % 126.40/129.39 (step @p146 :rule cong :premises (@p145) :args (@t112)) % 126.40/129.39 (step @p147 :rule nary_cong :premises (@p146 @p66) :args (@t113)) % 126.40/129.39 (step @p148 :rule cong :premises (@p147) :args (@t114)) % 126.40/129.39 (step @p149 :rule cong :premises (@p148) :args (@t115)) % 126.40/129.39 (step @p150 :rule trans :premises (@p149 @p37)) % 126.40/129.39 (step @p151 :rule bool-double-not-elim :args (@t115)) % 126.40/129.39 (step @p152 :rule trans :premises (@p151 @p150)) % 126.40/129.39 (step @p153 :rule eq_resolve :premises (@p2 @p152)) % 126.40/129.39 (step @p154 :rule skolemize :premises (@p153)) % 126.40/129.39 (step @p155 :rule bool-double-not-elim :args (@t231)) % 126.40/129.39 (step @p156 :rule refl :args (@t234)) % 126.40/129.39 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t234 (not @t233)))) % 126.40/129.39 (step @p158 :rule cnf_or_neg :args (@t234 0)) % 126.40/129.39 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 126.40/129.39 (step @p160 :rule reordering :premises (@p159) :args ((or @t231 @t234))) % 126.40/129.39 (step @p161 :rule chain_m_resolution :premises (@p160 @p154) :args (@t231 @t235 @t236)) % 126.40/129.39 (step @p162 :rule instantiate :premises (@p161) :args ((@list @t237))) % 126.40/129.39 (step @p163 :rule cnf_or_neg :args (@t234 1)) % 126.40/129.39 (step @p164 :rule chain_m_resolution :premises (@p163 @p154) :args ((not @t232) @t235 @t236)) % 126.40/129.39 (step @p165 :rule skolemize :premises (@p164)) % 126.40/129.39 (step @p166 :rule bool-double-not-elim :args (@t238)) % 126.40/129.39 (step @p167 :rule refl :args (@t244)) % 126.40/129.39 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t244 (not @t243)))) % 126.40/129.39 (step @p169 :rule cnf_or_neg :args (@t244 0)) % 126.40/129.39 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 126.40/129.39 (step @p171 :rule reordering :premises (@p170) :args ((or @t238 @t244))) % 126.40/129.39 (step @p172 :rule chain_m_resolution :premises (@p171 @p165) :args (@t238 @t235 @t245)) % 126.40/129.39 (step @p173 :rule cnf_or_pos :args (@t262)) % 126.40/129.39 (step @p174 :rule reordering :premises (@p173) :args ((or @t243 @t261 (not @t262)))) % 126.40/129.39 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p162) :args (@t261 @t263 (@list @t238 @t262))) % 126.40/129.39 (step @p176 :rule cnf_and_pos :args (@t261 3)) % 126.40/129.39 (step @p177 :rule reordering :premises (@p176) :args ((or @t249 @t264))) % 126.40/129.39 (step @p178 :rule chain_m_resolution :premises (@p177 @p175) :args (@t249 @t265 @t266)) % 126.40/129.39 (step @p179 :rule bool-double-not-elim :args (@t239)) % 126.40/129.39 (step @p180 :rule nary_cong :premises (@p167 @p179) :args ((or @t244 (not @t240)))) % 126.40/129.39 (step @p181 :rule cnf_or_neg :args (@t244 3)) % 126.40/129.39 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 126.40/129.39 (step @p183 :rule reordering :premises (@p182) :args ((or @t239 @t244))) % 126.40/129.39 (step @p184 :rule chain_m_resolution :premises (@p183 @p165) :args (@t239 @t235 @t245)) % 126.40/129.39 (step @p185 :rule alpha_equiv :args (@t239 @t267 (@list @t23 @t135 @t138))) % 126.40/129.39 (step @p186 :rule equiv_elim1 :premises (@p185)) % 126.40/129.39 (step @p187 :rule chain_m_resolution :premises (@p186 @p184) :args (@t246 @t265 @t268)) % 126.40/129.39 (step @p188 :rule cnf_or_pos :args (@t249)) % 126.40/129.39 (step @p189 :rule reordering :premises (@p188) :args ((or @t248 @t247 (not @t249)))) % 126.40/129.39 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p178) :args (@t248 @t263 (@list @t246 @t249))) % 126.40/129.39 (step @p191 :rule instantiate :premises (@p190) :args ((@list @t269))) % 126.40/129.39 (step @p192 :rule cnf_and_pos :args (@t261 0)) % 126.40/129.39 (step @p193 :rule reordering :premises (@p192) :args ((or @t260 @t264))) % 126.40/129.39 (step @p194 :rule chain_m_resolution :premises (@p193 @p175) :args (@t260 @t265 @t266)) % 126.40/129.39 (step @p195 :rule bool-double-not-elim :args (@t273)) % 126.40/129.39 (step @p196 :rule refl :args (@t276)) % 126.40/129.39 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t276 (not @t275)))) % 126.40/129.39 (step @p198 :rule cnf_or_neg :args (@t276 0)) % 126.40/129.39 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 126.40/129.39 (step @p200 :rule reordering :premises (@p199) :args ((or @t273 @t276))) % 126.40/129.39 (step @p201 :rule cnf_or_neg :args (@t276 1)) % 126.40/129.39 (step @p202 :rule cnf_and_pos :args (@t261 2)) % 126.40/129.39 (step @p203 :rule reordering :premises (@p202) :args ((or @t250 @t264))) % 126.40/129.39 (step @p204 :rule chain_m_resolution :premises (@p203 @p175) :args (@t250 @t265 @t266)) % 126.40/129.39 (step @p205 :rule instantiate :premises (@p204) :args (@t277)) % 126.40/129.39 (step @p206 :rule cnf_or_neg :args (@t244 2)) % 126.40/129.39 (step @p207 :rule chain_m_resolution :premises (@p206 @p165) :args ((not @t241) @t235 @t245)) % 126.40/129.39 (step @p208 :rule skolemize :premises (@p207)) % 126.40/129.39 (step @p209 :rule bool-double-not-elim :args (@t278)) % 126.40/129.39 (step @p210 :rule refl :args (@t282)) % 126.40/129.39 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or @t282 (not @t279)))) % 126.40/129.39 (step @p212 :rule cnf_or_neg :args (@t282 1)) % 126.40/129.39 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 126.40/129.39 (step @p214 :rule reordering :premises (@p213) :args ((or @t278 @t282))) % 126.40/129.39 (step @p215 :rule chain_m_resolution :premises (@p214 @p208) :args (@t278 @t235 @t283)) % 126.40/129.39 (step @p216 :rule alpha_equiv :args (@t278 @t189 (@list @t49))) % 126.40/129.39 (step @p217 :rule equiv_elim1 :premises (@p216)) % 126.40/129.39 (step @p218 :rule chain_m_resolution :premises (@p217 @p215) :args (@t284 @t265 (@list @t278))) % 126.40/129.39 (step @p219 :rule bool-double-not-elim :args (@t280)) % 126.40/129.39 (step @p220 :rule nary_cong :premises (@p210 @p219) :args ((or @t282 (not @t281)))) % 126.40/129.39 (step @p221 :rule cnf_or_neg :args (@t282 0)) % 126.40/129.39 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 126.40/129.39 (step @p223 :rule reordering :premises (@p222) :args ((or @t280 @t282))) % 126.40/129.39 (step @p224 :rule chain_m_resolution :premises (@p223 @p208) :args (@t280 @t235 @t283)) % 126.40/129.39 (step @p225 :rule cnf_or_pos :args (@t287)) % 126.40/129.39 (step @p226 :rule reordering :premises (@p225) :args ((or @t281 @t286 @t285 (not @t287)))) % 126.40/129.39 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p218 @p205) :args (@t286 (@list false false false) (@list @t280 @t284 @t287))) % 126.40/129.39 (step @p228 :rule instantiate :premises (@p227) :args ((@list @t272))) % 126.40/129.39 (step @p229 :rule cnf_or_pos :args (@t289)) % 126.40/129.39 (step @p230 :rule reordering :premises (@p229) :args ((or @t275 @t288 (not @t289)))) % 126.40/129.39 (step @p231 :rule alpha_equiv :args (@t274 @t191 @t192)) % 126.40/129.39 (step @p232 :rule equiv_elim2 :premises (@p231)) % 126.40/129.39 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p228 @p201 @p200) :args (@t276 (@list false false true false) (@list @t288 @t289 @t274 @t273))) % 126.40/129.39 (step @p234 :rule refl :args (@t290)) % 126.40/129.39 (step @p235 :rule bool-double-not-elim :args (@t271)) % 126.40/129.39 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or (not @t291) @t290))) % 126.40/129.39 (assume-push @p350 @t291) % 126.40/129.39 (step @p238 :rule skolemize :premises (@p350)) % 126.40/129.39 (step-pop @p351 :rule scope :premises (@p238)) % 126.40/129.39 (step @p239 :rule process_scope :premises (@p351) :args (@t290)) % 126.40/129.39 (step @p241 :rule implies_elim :premises (@p239)) % 126.40/129.39 (step @p242 :rule eq_resolve :premises (@p241 @p236)) % 126.40/129.39 (step @p243 :rule chain_m_resolution :premises (@p242 @p233) :args (@t271 @t265 (@list @t276))) % 126.40/129.39 (step @p244 :rule alpha_equiv :args (@t271 @t292 (@list @t170 @t98))) % 126.40/129.39 (step @p245 :rule equiv_elim1 :premises (@p244)) % 126.40/129.39 (step @p246 :rule chain_m_resolution :premises (@p245 @p243) :args (@t293 @t265 (@list @t271))) % 126.40/129.39 (step @p247 :rule cnf_or_pos :args (@t295)) % 126.40/129.39 (step @p248 :rule reordering :premises (@p247) :args ((or @t281 @t294 @t296))) % 126.40/129.39 (step @p249 :rule chain_m_resolution :premises (@p248 @p224 @p246) :args (@t296 @t263 (@list @t280 @t293))) % 126.40/129.39 (assume-push @p352 @t258) % 126.40/129.39 (step @p251 :rule instantiate :premises (@p352) :args (@t277)) % 126.40/129.39 (step-pop @p353 :rule scope :premises (@p251)) % 126.40/129.39 (step @p252 :rule process_scope :premises (@p353) :args (@t295)) % 126.40/129.39 (step @p254 :rule implies_elim :premises (@p252)) % 126.40/129.39 (step @p255 :rule chain_m_resolution :premises (@p254 @p249) :args ((not @t258) @t235 (@list @t295))) % 126.40/129.39 (step @p256 :rule cnf_and_pos :args (@t261 1)) % 126.40/129.39 (step @p257 :rule reordering :premises (@p256) :args ((or @t255 @t264))) % 126.40/129.39 (step @p258 :rule chain_m_resolution :premises (@p257 @p175) :args (@t255 @t265 @t266)) % 126.40/129.39 (step @p259 :rule alpha_equiv :args (@t239 @t267 @t297)) % 126.40/129.39 (step @p260 :rule equiv_elim1 :premises (@p259)) % 126.40/129.39 (step @p261 :rule chain_m_resolution :premises (@p260 @p184) :args (@t251 @t265 @t268)) % 126.40/129.39 (step @p262 :rule alpha_equiv :args (@t241 (@list @t127 @t131) (@list @t72 @t156))) % 126.40/129.39 (step @p263 :rule equiv_elim2 :premises (@p262)) % 126.40/129.39 (step @p264 :rule chain_m_resolution :premises (@p263 @p207) :args ((not @t253) @t235 (@list @t241))) % 126.40/129.39 (step @p265 :rule cnf_or_pos :args (@t255)) % 126.40/129.39 (step @p266 :rule reordering :premises (@p265) :args ((or @t254 @t253 @t252 (not @t255)))) % 126.40/129.39 (step @p267 :rule chain_m_resolution :premises (@p266 @p264 @p261 @p258) :args (@t254 (@list true false false) (@list @t253 @t251 @t255))) % 126.40/129.39 (step @p268 :rule cnf_or_neg :args (@t244 1)) % 126.40/129.39 (step @p269 :rule chain_m_resolution :premises (@p268 @p165) :args ((not @t242) @t235 @t245)) % 126.40/129.39 (step @p270 :rule cnf_or_pos :args (@t260)) % 126.40/129.39 (step @p271 :rule reordering :premises (@p270) :args ((or @t242 @t259 @t258 @t257 (not @t260)))) % 126.40/129.39 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p267 @p255 @p194) :args (@t257 (@list true false true false) (@list @t242 @t254 @t258 @t260))) % 126.40/129.39 (step @p273 :rule refl :args (@t304)) % 126.40/129.39 (step @p274 :rule bool-double-not-elim :args (@t256)) % 126.40/129.39 (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((or (not @t257) @t304))) % 126.40/129.39 (assume-push @p354 @t257) % 126.40/129.39 (step @p277 :rule skolemize :premises (@p354)) % 126.40/129.39 (step-pop @p355 :rule scope :premises (@p277)) % 126.40/129.39 (step @p278 :rule process_scope :premises (@p355) :args (@t304)) % 126.40/129.39 (step @p280 :rule implies_elim :premises (@p278)) % 126.40/129.39 (step @p281 :rule eq_resolve :premises (@p280 @p275)) % 126.40/129.39 (step @p282 :rule chain_m_resolution :premises (@p281 @p272) :args (@t304 @t235 (@list @t256))) % 126.40/129.39 (step @p283 :rule bool-double-not-elim :args (@t301)) % 126.40/129.39 (step @p284 :rule refl :args (@t303)) % 126.40/129.39 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t303 (not @t302)))) % 126.40/129.39 (step @p286 :rule cnf_or_neg :args (@t303 0)) % 126.40/129.39 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 126.40/129.39 (step @p288 :rule reordering :premises (@p287) :args ((or @t301 @t303))) % 126.40/129.39 (step @p289 :rule chain_m_resolution :premises (@p288 @p282) :args (@t301 @t235 @t305)) % 126.40/129.39 (step @p290 :rule cnf_or_pos :args (@t307)) % 126.40/129.39 (step @p291 :rule reordering :premises (@p290) :args ((or @t302 @t306 (not @t307)))) % 126.40/129.39 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p191) :args (@t306 @t263 (@list @t301 @t307))) % 126.40/129.39 (step @p293 :rule alpha_equiv :args (@t308 @t297 (@list @t140 @t35 @t38))) % 126.40/129.39 (step @p294 :rule equiv_elim2 :premises (@p293)) % 126.40/129.39 (step @p295 :rule chain_m_resolution :premises (@p294 @p292) :args (@t308 @t265 (@list @t306))) % 126.40/129.39 (step @p296 :rule bool-double-not-elim :args (@t298)) % 126.40/129.39 (step @p297 :rule nary_cong :premises (@p284 @p296) :args ((or @t303 (not @t299)))) % 126.40/129.39 (step @p298 :rule cnf_or_neg :args (@t303 3)) % 126.40/129.39 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 126.40/129.39 (step @p300 :rule reordering :premises (@p299) :args ((or @t298 @t303))) % 126.40/129.39 (step @p301 :rule chain_m_resolution :premises (@p300 @p282) :args (@t298 @t235 @t305)) % 126.40/129.39 (assume-push @p356 @t298) % 126.40/129.39 (step @p303 :rule instantiate :premises (@p356) :args (@t310)) % 126.40/129.39 (step-pop @p357 :rule scope :premises (@p303)) % 126.40/129.39 (step @p304 :rule process_scope :premises (@p357) :args (@t316)) % 126.40/129.39 (step @p306 :rule implies_elim :premises (@p304)) % 126.40/129.39 (step @p307 :rule chain_m_resolution :premises (@p306 @p301) :args (@t316 @t265 (@list @t298))) % 126.40/129.39 (step @p308 :rule cnf_or_neg :args (@t303 1)) % 126.40/129.39 (step @p309 :rule chain_m_resolution :premises (@p308 @p282) :args (@t317 @t235 @t305)) % 126.40/129.39 (step @p310 :rule refl :args (@t319)) % 126.40/129.39 (step @p311 :rule bool-double-not-elim :args (@t300)) % 126.40/129.39 (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((or (not @t317) @t319))) % 126.40/129.39 (assume-push @p358 @t317) % 126.40/129.39 (step @p314 :rule skolemize :premises (@p358)) % 126.40/129.39 (step-pop @p359 :rule scope :premises (@p314)) % 126.40/129.39 (step @p315 :rule process_scope :premises (@p359) :args (@t319)) % 126.40/129.39 (step @p317 :rule implies_elim :premises (@p315)) % 126.40/129.39 (step @p318 :rule eq_resolve :premises (@p317 @p312)) % 126.40/129.39 (step @p319 :rule chain_m_resolution :premises (@p318 @p309) :args (@t319 @t235 (@list @t300))) % 126.40/129.39 (step @p320 :rule cnf_or_neg :args (@t318 1)) % 126.40/129.39 (step @p321 :rule chain_m_resolution :premises (@p320 @p319) :args ((not @t311) @t235 @t320)) % 126.40/129.39 (step @p322 :rule cnf_and_pos :args (@t312 1)) % 126.40/129.39 (step @p323 :rule reordering :premises (@p322) :args ((or @t311 @t321))) % 126.40/129.39 (step @p324 :rule chain_m_resolution :premises (@p323 @p321) :args (@t321 @t235 (@list @t311))) % 126.40/129.39 (step @p325 :rule bool-double-not-elim :args (@t314)) % 126.40/129.39 (step @p326 :rule refl :args (@t318)) % 126.40/129.39 (step @p327 :rule nary_cong :premises (@p326 @p325) :args ((or @t318 (not @t315)))) % 126.40/129.39 (step @p328 :rule cnf_or_neg :args (@t318 0)) % 126.40/129.39 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 126.40/129.39 (step @p330 :rule reordering :premises (@p329) :args ((or @t314 @t318))) % 126.40/129.39 (step @p331 :rule chain_m_resolution :premises (@p330 @p319) :args (@t314 @t235 @t320)) % 126.40/129.39 (step @p332 :rule cnf_or_pos :args (@t316)) % 126.40/129.39 (step @p333 :rule reordering :premises (@p332) :args ((or @t315 @t313 @t312 (not @t316)))) % 126.40/129.39 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p324 @p307) :args (@t313 @t322 (@list @t314 @t312 @t316))) % 126.40/129.39 (step @p335 :rule alpha_equiv :args (@t323 @t292 (@list @t82 @t162))) % 126.40/129.39 (step @p336 :rule equiv_elim2 :premises (@p335)) % 126.40/129.39 (step @p337 :rule chain_m_resolution :premises (@p336 @p334) :args (@t323 @t265 (@list @t313))) % 126.40/129.39 (step @p338 :rule alpha_equiv :args (@t323 @t292 (@list @t151 @t61))) % 126.40/129.39 (step @p339 :rule equiv_elim1 :premises (@p338)) % 126.40/129.39 (step @p340 :rule chain_m_resolution :premises (@p339 @p337) :args (@t324 @t265 (@list @t323))) % 126.40/129.39 (step @p341 :rule cnf_or_pos :args (@t326)) % 126.40/129.39 (step @p342 :rule reordering :premises (@p341) :args ((or @t315 @t311 @t325 @t327))) % 126.40/129.39 (step @p343 :rule chain_m_resolution :premises (@p342 @p331 @p321 @p340) :args (@t327 @t322 (@list @t314 @t311 @t324))) % 126.40/129.39 (assume-push @p360 @t308) % 126.40/129.39 (step @p345 :rule instantiate :premises (@p360) :args (@t310)) % 126.40/129.39 (step-pop @p361 :rule scope :premises (@p345)) % 126.40/129.39 (step @p346 :rule process_scope :premises (@p361) :args (@t326)) % 126.40/129.39 (step @p348 :rule implies_elim :premises (@p346)) % 126.40/129.39 (step @p349 false :rule chain_m_resolution :premises (@p348 @p343 @p295) :args (false (@list true false) (@list @t326 @t308))) % 126.40/129.39 ) % 126.40/129.39 % SZS output end Proof % 126.40/129.39 % cvc5 exiting %------------------------------------------------------------------------------