%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL660+1.001 : 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 : n005.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 11:23:23 AM UTC 2026 % Result : Theorem 126.78s 128.29s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL660+1.001 : 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 % 0.10/0.37 % Computer : n005.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 11:05:35 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 126.78/128.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 126.78/128.29 --- Run --no-e-matching --full-saturate-quant at 6... % 126.78/128.29 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 126.78/128.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 126.78/128.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 126.78/128.29 --- Run --trigger-sel=max --full-saturate-quant at 15... % 126.78/128.29 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 126.78/128.29 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.78/128.29 --- Run --prenex-quant=none --full-saturate-quant at 30... % 126.78/128.29 % SZS status Theorem % 126.78/128.29 % SZS output start Proof % 126.78/128.29 ( % 126.78/128.29 (declare-sort $$unsorted 0) % 126.78/128.29 (declare-const tptp.p4 (-> $$unsorted Bool)) % 126.78/128.29 (declare-const tptp.p3 (-> $$unsorted Bool)) % 126.78/128.29 (declare-const tptp.p1 (-> $$unsorted Bool)) % 126.78/128.29 (declare-const tptp.p2 (-> $$unsorted Bool)) % 126.78/128.29 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 126.78/128.29 (define @t1 () (@var "X" $$unsorted)) % 126.78/128.29 (define @t2 () (@list @t1)) % 126.78/128.29 (define @t3 () (@var "Y" $$unsorted)) % 126.78/128.29 (define @t4 () (tptp.p2 @t3)) % 126.78/128.29 (define @t5 () (not @t4)) % 126.78/128.29 (define @t6 () (tptp.p2 @t1)) % 126.78/128.29 (define @t7 () (not (tptp.r1 @t3 @t1))) % 126.78/128.29 (define @t8 () (forall @t2 (or @t7 @t6))) % 126.78/128.29 (define @t9 () (not (tptp.r1 @t1 @t3))) % 126.78/128.29 (define @t10 () (or @t9 @t8 @t5)) % 126.78/128.29 (define @t11 () (@list @t3)) % 126.78/128.29 (define @t12 () (forall @t11 @t10)) % 126.78/128.29 (define @t13 () (not @t12)) % 126.78/128.29 (define @t14 () (or @t7 @t6 @t13)) % 126.78/128.29 (define @t15 () (forall @t2 @t14)) % 126.78/128.29 (define @t16 () (not @t15)) % 126.78/128.29 (define @t17 () (or @t9 @t4 @t16)) % 126.78/128.29 (define @t18 () (forall @t11 @t17)) % 126.78/128.29 (define @t19 () (or @t6 @t13)) % 126.78/128.29 (define @t20 () (not @t6)) % 126.78/128.29 (define @t21 () (forall @t11 (or @t9 @t4))) % 126.78/128.29 (define @t22 () (or @t7 @t21 @t20)) % 126.78/128.29 (define @t23 () (forall @t2 @t22)) % 126.78/128.29 (define @t24 () (not @t23)) % 126.78/128.29 (define @t25 () (or @t9 @t4 @t24)) % 126.78/128.29 (define @t26 () (forall @t11 @t25)) % 126.78/128.29 (define @t27 () (not @t26)) % 126.78/128.29 (define @t28 () (or @t9 @t15)) % 126.78/128.29 (define @t29 () (forall @t11 @t28)) % 126.78/128.29 (define @t30 () (or @t29 @t27)) % 126.78/128.29 (define @t31 () (and @t30 @t19)) % 126.78/128.29 (define @t32 () (not @t31)) % 126.78/128.29 (define @t33 () (or @t4 @t24)) % 126.78/128.29 (define @t34 () (or @t7 @t26)) % 126.78/128.29 (define @t35 () (forall @t2 @t34)) % 126.78/128.29 (define @t36 () (or @t35 @t16)) % 126.78/128.29 (define @t37 () (and @t36 @t33)) % 126.78/128.29 (define @t38 () (or @t9 @t37)) % 126.78/128.29 (define @t39 () (forall @t11 @t38)) % 126.78/128.29 (define @t40 () (or @t7 @t39 @t32)) % 126.78/128.29 (define @t41 () (forall @t2 @t40)) % 126.78/128.29 (define @t42 () (not @t41)) % 126.78/128.29 (define @t43 () (or @t9 @t37 @t42)) % 126.78/128.29 (define @t44 () (forall @t11 @t43)) % 126.78/128.29 (define @t45 () (not @t44)) % 126.78/128.29 (define @t46 () (or @t31 @t45)) % 126.78/128.29 (define @t47 () (and @t46 @t18)) % 126.78/128.29 (define @t48 () (not @t47)) % 126.78/128.29 (define @t49 () (not (tptp.p1 @t1))) % 126.78/128.29 (define @t50 () (tptp.p1 @t3)) % 126.78/128.29 (define @t51 () (forall @t11 (or @t9 @t50))) % 126.78/128.29 (define @t52 () (or @t7 @t51 @t49)) % 126.78/128.29 (define @t53 () (forall @t2 @t52)) % 126.78/128.29 (define @t54 () (not @t53)) % 126.78/128.29 (define @t55 () (or @t9 @t50 @t54)) % 126.78/128.29 (define @t56 () (forall @t11 @t55)) % 126.78/128.29 (define @t57 () (not @t56)) % 126.78/128.29 (define @t58 () (or @t21 @t27)) % 126.78/128.29 (define @t59 () (forall @t2 (or @t7 (not (tptp.p3 @t1))))) % 126.78/128.29 (define @t60 () (not @t59)) % 126.78/128.29 (define @t61 () (or @t9 @t60)) % 126.78/128.29 (define @t62 () (forall @t11 @t61)) % 126.78/128.29 (define @t63 () (not @t62)) % 126.78/128.29 (define @t64 () (and @t63 @t58)) % 126.78/128.29 (define @t65 () (not (tptp.p4 @t1))) % 126.78/128.29 (define @t66 () (tptp.p4 @t3)) % 126.78/128.29 (define @t67 () (forall @t11 (or @t9 @t66))) % 126.78/128.29 (define @t68 () (or @t7 @t67 @t65)) % 126.78/128.29 (define @t69 () (forall @t2 @t68)) % 126.78/128.29 (define @t70 () (not @t69)) % 126.78/128.29 (define @t71 () (or @t9 @t66 @t70)) % 126.78/128.29 (define @t72 () (forall @t11 @t71)) % 126.78/128.29 (define @t73 () (not @t72)) % 126.78/128.29 (define @t74 () (not (tptp.p3 @t3))) % 126.78/128.29 (define @t75 () (not (forall @t11 (or @t9 @t74)))) % 126.78/128.29 (define @t76 () (and @t75 @t58)) % 126.78/128.29 (define @t77 () (or @t76 @t67 @t73 @t64 @t51 @t57 @t48)) % 126.78/128.29 (define @t78 () (not @t77)) % 126.78/128.29 (define @t79 () (exists @t2 @t78)) % 126.78/128.29 (define @t80 () (@var "BOUND_VARIABLE_7891" $$unsorted)) % 126.78/128.29 (define @t81 () (not (tptp.p2 @t80))) % 126.78/128.29 (define @t82 () (@var "BOUND_VARIABLE_7556" $$unsorted)) % 126.78/128.29 (define @t83 () (tptp.p2 @t82)) % 126.78/128.29 (define @t84 () (@list @t82)) % 126.78/128.29 (define @t85 () (forall @t84 (or (not (tptp.r1 @t80 @t82)) @t83))) % 126.78/128.29 (define @t86 () (@var "BOUND_VARIABLE_7919" $$unsorted)) % 126.78/128.29 (define @t87 () (@list @t80)) % 126.78/128.29 (define @t88 () (not (forall @t87 (or (not (tptp.r1 @t86 @t80)) @t85 @t81)))) % 126.78/128.29 (define @t89 () (tptp.p2 @t86)) % 126.78/128.29 (define @t90 () (@list @t86)) % 126.78/128.29 (define @t91 () (not (forall @t90 (or (not (tptp.r1 @t3 @t86)) @t89 @t88)))) % 126.78/128.29 (define @t92 () (forall @t11 (or @t9 @t4 @t91))) % 126.78/128.29 (define @t93 () (not @t92)) % 126.78/128.29 (define @t94 () (@var "BOUND_VARIABLE_7771" $$unsorted)) % 126.78/128.29 (define @t95 () (not (tptp.p2 @t94))) % 126.78/128.29 (define @t96 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 126.78/128.29 (define @t97 () (tptp.p2 @t96)) % 126.78/128.29 (define @t98 () (@list @t96)) % 126.78/128.29 (define @t99 () (forall @t98 (or (not (tptp.r1 @t94 @t96)) @t97))) % 126.78/128.29 (define @t100 () (@var "BOUND_VARIABLE_7935" $$unsorted)) % 126.78/128.29 (define @t101 () (@list @t94)) % 126.78/128.29 (define @t102 () (and (not (tptp.p2 @t100)) (forall @t101 (or (not (tptp.r1 @t100 @t94)) @t99 @t95)))) % 126.78/128.29 (define @t103 () (@var "BOUND_VARIABLE_7679" $$unsorted)) % 126.78/128.29 (define @t104 () (not (tptp.p2 @t103))) % 126.78/128.29 (define @t105 () (@var "BOUND_VARIABLE_7511" $$unsorted)) % 126.78/128.29 (define @t106 () (tptp.p2 @t105)) % 126.78/128.29 (define @t107 () (@list @t105)) % 126.78/128.29 (define @t108 () (forall @t107 (or (not (tptp.r1 @t103 @t105)) @t106))) % 126.78/128.29 (define @t109 () (@var "BOUND_VARIABLE_7785" $$unsorted)) % 126.78/128.29 (define @t110 () (@list @t103)) % 126.78/128.29 (define @t111 () (not (forall @t110 (or (not (tptp.r1 @t109 @t103)) @t108 @t104)))) % 126.78/128.29 (define @t112 () (tptp.p2 @t109)) % 126.78/128.29 (define @t113 () (@list @t109)) % 126.78/128.29 (define @t114 () (@var "BOUND_VARIABLE_7571" $$unsorted)) % 126.78/128.29 (define @t115 () (not (tptp.p2 @t114))) % 126.78/128.29 (define @t116 () (forall @t84 (or (not (tptp.r1 @t114 @t82)) @t83))) % 126.78/128.29 (define @t117 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 126.78/128.29 (define @t118 () (@list @t114)) % 126.78/128.29 (define @t119 () (not (forall @t118 (or (not (tptp.r1 @t117 @t114)) @t116 @t115)))) % 126.78/128.29 (define @t120 () (tptp.p2 @t117)) % 126.78/128.29 (define @t121 () (@var "BOUND_VARIABLE_7798" $$unsorted)) % 126.78/128.29 (define @t122 () (@list @t117)) % 126.78/128.29 (define @t123 () (forall @t122 (or (not (tptp.r1 @t121 @t117)) @t120 @t119))) % 126.78/128.29 (define @t124 () (@list @t121)) % 126.78/128.29 (define @t125 () (and (not (forall @t124 (or (not (tptp.r1 @t100 @t121)) @t123))) (forall @t113 (or (not (tptp.r1 @t100 @t109)) @t112 @t111)))) % 126.78/128.29 (define @t126 () (@var "BOUND_VARIABLE_7714" $$unsorted)) % 126.78/128.29 (define @t127 () (not (tptp.p2 @t126))) % 126.78/128.29 (define @t128 () (@var "BOUND_VARIABLE_7616" $$unsorted)) % 126.78/128.29 (define @t129 () (tptp.p2 @t128)) % 126.78/128.29 (define @t130 () (@list @t128)) % 126.78/128.29 (define @t131 () (forall @t130 (or (not (tptp.r1 @t126 @t128)) @t129))) % 126.78/128.29 (define @t132 () (@var "BOUND_VARIABLE_7811" $$unsorted)) % 126.78/128.29 (define @t133 () (@list @t126)) % 126.78/128.29 (define @t134 () (@var "BOUND_VARIABLE_7628" $$unsorted)) % 126.78/128.29 (define @t135 () (not (tptp.p2 @t134))) % 126.78/128.29 (define @t136 () (forall @t84 (or (not (tptp.r1 @t134 @t82)) @t83))) % 126.78/128.29 (define @t137 () (@var "BOUND_VARIABLE_7729" $$unsorted)) % 126.78/128.29 (define @t138 () (@list @t134)) % 126.78/128.29 (define @t139 () (not (forall @t138 (or (not (tptp.r1 @t137 @t134)) @t136 @t135)))) % 126.78/128.29 (define @t140 () (tptp.p2 @t137)) % 126.78/128.29 (define @t141 () (@list @t137)) % 126.78/128.29 (define @t142 () (@var "BOUND_VARIABLE_7593" $$unsorted)) % 126.78/128.29 (define @t143 () (not (tptp.p2 @t142))) % 126.78/128.29 (define @t144 () (forall @t107 (or (not (tptp.r1 @t142 @t105)) @t106))) % 126.78/128.29 (define @t145 () (@var "BOUND_VARIABLE_7645" $$unsorted)) % 126.78/128.29 (define @t146 () (@list @t142)) % 126.78/128.29 (define @t147 () (not (forall @t146 (or (not (tptp.r1 @t145 @t142)) @t144 @t143)))) % 126.78/128.29 (define @t148 () (tptp.p2 @t145)) % 126.78/128.29 (define @t149 () (@var "BOUND_VARIABLE_7743" $$unsorted)) % 126.78/128.29 (define @t150 () (@list @t145)) % 126.78/128.29 (define @t151 () (forall @t150 (or (not (tptp.r1 @t149 @t145)) @t148 @t147))) % 126.78/128.29 (define @t152 () (@list @t149)) % 126.78/128.29 (define @t153 () (and (or (forall @t152 (or (not (tptp.r1 @t132 @t149)) @t151)) (not (forall @t141 (or (not (tptp.r1 @t132 @t137)) @t140 @t139)))) (or (tptp.p2 @t132) (not (forall @t133 (or (not (tptp.r1 @t132 @t126)) @t131 @t127)))))) % 126.78/128.29 (define @t154 () (@list @t132)) % 126.78/128.29 (define @t155 () (forall @t154 (or (not (tptp.r1 @t100 @t132)) @t153))) % 126.78/128.29 (define @t156 () (@list @t100)) % 126.78/128.29 (define @t157 () (not (forall @t156 (or (not (tptp.r1 @t3 @t100)) @t155 @t125 @t102)))) % 126.78/128.29 (define @t158 () (@var "BOUND_VARIABLE_7964" $$unsorted)) % 126.78/128.29 (define @t159 () (not (tptp.p2 @t158))) % 126.78/128.29 (define @t160 () (@var "BOUND_VARIABLE_7839" $$unsorted)) % 126.78/128.29 (define @t161 () (tptp.p2 @t160)) % 126.78/128.29 (define @t162 () (@list @t160)) % 126.78/128.29 (define @t163 () (forall @t162 (or (not (tptp.r1 @t158 @t160)) @t161))) % 126.78/128.29 (define @t164 () (@list @t158)) % 126.78/128.29 (define @t165 () (@var "BOUND_VARIABLE_7851" $$unsorted)) % 126.78/128.29 (define @t166 () (not (tptp.p2 @t165))) % 126.78/128.29 (define @t167 () (forall @t84 (or (not (tptp.r1 @t165 @t82)) @t83))) % 126.78/128.29 (define @t168 () (@var "BOUND_VARIABLE_7979" $$unsorted)) % 126.78/128.29 (define @t169 () (@list @t165)) % 126.78/128.29 (define @t170 () (not (forall @t169 (or (not (tptp.r1 @t168 @t165)) @t167 @t166)))) % 126.78/128.29 (define @t171 () (tptp.p2 @t168)) % 126.78/128.29 (define @t172 () (@list @t168)) % 126.78/128.29 (define @t173 () (@var "BOUND_VARIABLE_7868" $$unsorted)) % 126.78/128.29 (define @t174 () (not (forall @t146 (or (not (tptp.r1 @t173 @t142)) @t144 @t143)))) % 126.78/128.29 (define @t175 () (tptp.p2 @t173)) % 126.78/128.29 (define @t176 () (@var "BOUND_VARIABLE_7993" $$unsorted)) % 126.78/128.29 (define @t177 () (@list @t173)) % 126.78/128.29 (define @t178 () (forall @t177 (or (not (tptp.r1 @t176 @t173)) @t175 @t174))) % 126.78/128.29 (define @t179 () (@list @t176)) % 126.78/128.29 (define @t180 () (and (or (forall @t179 (or (not (tptp.r1 @t3 @t176)) @t178)) (not (forall @t172 (or (not (tptp.r1 @t3 @t168)) @t171 @t170)))) (or @t4 (not (forall @t164 (or (not (tptp.r1 @t3 @t158)) @t163 @t159)))))) % 126.78/128.29 (define @t181 () (forall @t11 (or @t9 @t180 @t157))) % 126.78/128.29 (define @t182 () (@var "BOUND_VARIABLE_8009" $$unsorted)) % 126.78/128.29 (define @t183 () (forall (@list @t182) (or (not (tptp.r1 @t3 @t182)) (tptp.p2 @t182)))) % 126.78/128.29 (define @t184 () (forall @t11 (or @t9 @t183 @t5))) % 126.78/128.29 (define @t185 () (@var "BOUND_VARIABLE_8021" $$unsorted)) % 126.78/128.29 (define @t186 () (not (tptp.p2 @t185))) % 126.78/128.29 (define @t187 () (forall @t107 (or (not (tptp.r1 @t185 @t105)) @t106))) % 126.78/128.29 (define @t188 () (@list @t185)) % 126.78/128.29 (define @t189 () (not (forall @t188 (or (not (tptp.r1 @t3 @t185)) @t187 @t186)))) % 126.78/128.29 (define @t190 () (forall @t11 (or @t9 @t4 @t189))) % 126.78/128.29 (define @t191 () (@var "BOUND_VARIABLE_8038" $$unsorted)) % 126.78/128.29 (define @t192 () (not (forall @t118 (or (not (tptp.r1 @t191 @t114)) @t116 @t115)))) % 126.78/128.29 (define @t193 () (tptp.p2 @t191)) % 126.78/128.29 (define @t194 () (@list @t191)) % 126.78/128.29 (define @t195 () (forall @t194 (or (not (tptp.r1 @t3 @t191)) @t193 @t192))) % 126.78/128.29 (define @t196 () (forall @t11 (or @t9 @t195))) % 126.78/128.29 (define @t197 () (not @t196)) % 126.78/128.29 (define @t198 () (and (or (and @t197 @t190) (and @t20 @t184)) @t181)) % 126.78/128.29 (define @t199 () (@var "BOUND_VARIABLE_8058" $$unsorted)) % 126.78/128.29 (define @t200 () (@var "BOUND_VARIABLE_7542" $$unsorted)) % 126.78/128.29 (define @t201 () (tptp.p1 @t200)) % 126.78/128.29 (define @t202 () (@list @t200)) % 126.78/128.29 (define @t203 () (not (forall (@list @t199) (or (not (tptp.r1 @t3 @t199)) (forall @t202 (or (not (tptp.r1 @t199 @t200)) @t201)) (not (tptp.p1 @t199)))))) % 126.78/128.29 (define @t204 () (not (forall @t11 (or @t9 @t50 @t203)))) % 126.78/128.29 (define @t205 () (not @t190)) % 126.78/128.29 (define @t206 () (or @t21 @t205)) % 126.78/128.29 (define @t207 () (@var "BOUND_VARIABLE_8076" $$unsorted)) % 126.78/128.29 (define @t208 () (not (tptp.p3 @t207))) % 126.78/128.29 (define @t209 () (@list @t207)) % 126.78/128.29 (define @t210 () (not (forall @t209 (or (not (tptp.r1 @t3 @t207)) @t208)))) % 126.78/128.29 (define @t211 () (and (not (forall @t11 (or @t9 @t210))) @t206)) % 126.78/128.29 (define @t212 () (@var "BOUND_VARIABLE_8090" $$unsorted)) % 126.78/128.29 (define @t213 () (@var "BOUND_VARIABLE_7527" $$unsorted)) % 126.78/128.29 (define @t214 () (tptp.p4 @t213)) % 126.78/128.29 (define @t215 () (@list @t213)) % 126.78/128.29 (define @t216 () (not (forall (@list @t212) (or (not (tptp.r1 @t3 @t212)) (forall @t215 (or (not (tptp.r1 @t212 @t213)) @t214)) (not (tptp.p4 @t212)))))) % 126.78/128.29 (define @t217 () (not (forall @t11 (or @t9 @t66 @t216)))) % 126.78/128.29 (define @t218 () (and @t75 @t206)) % 126.78/128.29 (define @t219 () (or @t218 @t67 @t217 @t211 @t51 @t204 @t198 @t93)) % 126.78/128.29 (define @t220 () (@quantifiers_skolemize (forall @t2 @t219) 0)) % 126.78/128.29 (define @t221 () (@list @t220)) % 126.78/128.29 (define @t222 () (not (tptp.r1 @t220 @t3))) % 126.78/128.29 (define @t223 () (forall @t11 (or @t222 @t4 @t189))) % 126.78/128.29 (define @t224 () (not @t223)) % 126.78/128.29 (define @t225 () (forall @t11 (or @t222 @t4))) % 126.78/128.29 (define @t226 () (or @t225 @t224)) % 126.78/128.29 (define @t227 () (@quantifiers_skolemize @t225 0)) % 126.78/128.29 (define @t228 () (tptp.p2 @t227)) % 126.78/128.29 (define @t229 () (tptp.r1 @t220 @t227)) % 126.78/128.29 (define @t230 () (not @t229)) % 126.78/128.29 (define @t231 () (or @t230 @t228)) % 126.78/128.29 (define @t232 () (not @t231)) % 126.78/128.29 (define @t233 () (not @t225)) % 126.78/128.29 (define @t234 () (forall @t11 (or @t222 @t180 @t157))) % 126.78/128.29 (define @t235 () (@quantifiers_skolemize @t234 0)) % 126.78/128.29 (define @t236 () (forall @t188 (or (not (tptp.r1 @t235 @t185)) @t187 @t186))) % 126.78/128.29 (define @t237 () (not @t236)) % 126.78/128.29 (define @t238 () (tptp.p2 @t235)) % 126.78/128.29 (define @t239 () (tptp.r1 @t220 @t235)) % 126.78/128.29 (define @t240 () (not @t239)) % 126.78/128.29 (define @t241 () (or @t240 @t238 @t237)) % 126.78/128.29 (define @t242 () (not @t184)) % 126.78/128.29 (define @t243 () (or @t6 @t242)) % 126.78/128.29 (define @t244 () (or @t196 @t205)) % 126.78/128.29 (define @t245 () (and @t244 @t243)) % 126.78/128.29 (define @t246 () (not @t245)) % 126.78/128.29 (define @t247 () (not @t181)) % 126.78/128.29 (define @t248 () (or @t245 @t247)) % 126.78/128.29 (define @t249 () (or @t218 @t67 @t217 @t211 @t51 @t204 (not (and @t248 @t92)))) % 126.78/128.29 (define @t250 () (forall @t2 (or @t7 @t6 (not (forall @t87 (or (not (tptp.r1 @t1 @t80)) @t85 @t81)))))) % 126.78/128.29 (define @t251 () (@list @t1)) % 126.78/128.29 (define @t252 () (not @t250)) % 126.78/128.29 (define @t253 () (or @t9 @t4 @t252)) % 126.78/128.29 (define @t254 () (forall @t11 @t253)) % 126.78/128.29 (define @t255 () (forall @t2 (or @t7 (forall @t154 (or (not (tptp.r1 @t1 @t132)) @t153)) (and (not (forall @t124 (or (not (tptp.r1 @t1 @t121)) @t123))) (forall @t113 (or (not (tptp.r1 @t1 @t109)) @t112 @t111))) (and @t20 (forall @t101 (or (not (tptp.r1 @t1 @t94)) @t99 @t95)))))) % 126.78/128.29 (define @t256 () (not @t255)) % 126.78/128.29 (define @t257 () (forall @t2 (or @t7 (forall @t162 (or (not (tptp.r1 @t1 @t160)) @t161)) @t20))) % 126.78/128.29 (define @t258 () (not @t257)) % 126.78/128.29 (define @t259 () (or @t4 @t258)) % 126.78/128.29 (define @t260 () (forall @t2 (or @t7 @t6 (not (forall @t169 (or (not (tptp.r1 @t1 @t165)) @t167 @t166)))))) % 126.78/128.29 (define @t261 () (not @t260)) % 126.78/128.29 (define @t262 () (forall @t2 (or @t7 (forall @t177 (or (not (tptp.r1 @t1 @t173)) @t175 @t174))))) % 126.78/128.29 (define @t263 () (or @t262 @t261)) % 126.78/128.29 (define @t264 () (and @t263 @t259)) % 126.78/128.29 (define @t265 () (or @t9 @t264 @t256)) % 126.78/128.29 (define @t266 () (forall @t11 @t265)) % 126.78/128.29 (define @t267 () (not @t266)) % 126.78/128.29 (define @t268 () (forall @t2 (or @t7 (forall @t107 (or (not (tptp.r1 @t1 @t105)) @t106)) @t20))) % 126.78/128.29 (define @t269 () (not @t268)) % 126.78/128.29 (define @t270 () (or @t9 @t4 @t269)) % 126.78/128.29 (define @t271 () (forall @t11 @t270)) % 126.78/128.29 (define @t272 () (not @t271)) % 126.78/128.29 (define @t273 () (forall @t2 (or @t7 @t6 (not (forall @t118 (or (not (tptp.r1 @t1 @t114)) @t116 @t115)))))) % 126.78/128.29 (define @t274 () (or @t9 @t273)) % 126.78/128.29 (define @t275 () (forall @t11 @t274)) % 126.78/128.29 (define @t276 () (or @t275 @t272)) % 126.78/128.29 (define @t277 () (and @t276 @t19)) % 126.78/128.29 (define @t278 () (or @t277 @t267)) % 126.78/128.29 (define @t279 () (and @t278 @t254)) % 126.78/128.29 (define @t280 () (not @t279)) % 126.78/128.29 (define @t281 () (forall @t2 (or @t7 (forall @t202 (or (not (tptp.r1 @t1 @t200)) @t201)) @t49))) % 126.78/128.29 (define @t282 () (not @t281)) % 126.78/128.29 (define @t283 () (or @t9 @t50 @t282)) % 126.78/128.29 (define @t284 () (forall @t11 @t283)) % 126.78/128.29 (define @t285 () (not @t284)) % 126.78/128.29 (define @t286 () (or @t21 @t272)) % 126.78/128.29 (define @t287 () (@list @t207)) % 126.78/128.29 (define @t288 () (and @t63 @t286)) % 126.78/128.29 (define @t289 () (forall @t2 (or @t7 (forall @t215 (or (not (tptp.r1 @t1 @t213)) @t214)) @t65))) % 126.78/128.29 (define @t290 () (not @t289)) % 126.78/128.29 (define @t291 () (or @t9 @t66 @t290)) % 126.78/128.29 (define @t292 () (forall @t11 @t291)) % 126.78/128.29 (define @t293 () (not @t292)) % 126.78/128.29 (define @t294 () (and @t75 @t286)) % 126.78/128.29 (define @t295 () (or @t294 @t67 @t293 @t288 @t51 @t285 @t280)) % 126.78/128.29 (define @t296 () (not @t295)) % 126.78/128.29 (define @t297 () (forall @t2 (not @t296))) % 126.78/128.29 (define @t298 () (not @t297)) % 126.78/128.29 (define @t299 () (forall @t11 (or @t9 (forall @t84 (or (not (tptp.r1 @t3 @t82)) @t83)) @t5))) % 126.78/128.29 (define @t300 () (@list @t3)) % 126.78/128.29 (define @t301 () (not @t299)) % 126.78/128.29 (define @t302 () (or @t7 @t6 @t301)) % 126.78/128.29 (define @t303 () (forall @t2 @t302)) % 126.78/128.29 (define @t304 () (not @t303)) % 126.78/128.29 (define @t305 () (or @t9 @t4 @t304)) % 126.78/128.29 (define @t306 () (forall @t11 (or @t9 (forall @t98 (or (not (tptp.r1 @t3 @t96)) @t97)) @t5))) % 126.78/128.29 (define @t307 () (and @t20 @t306)) % 126.78/128.29 (define @t308 () (forall @t11 (or @t9 @t4 (not (forall @t110 (or (not (tptp.r1 @t3 @t103)) @t108 @t104)))))) % 126.78/128.29 (define @t309 () (forall @t11 (or @t9 (forall @t122 (or (not (tptp.r1 @t3 @t117)) @t120 @t119))))) % 126.78/128.29 (define @t310 () (not @t309)) % 126.78/128.29 (define @t311 () (and @t310 @t308)) % 126.78/128.29 (define @t312 () (forall @t11 (or @t9 (and (or (forall @t152 (or (not (tptp.r1 @t3 @t149)) @t151)) (not (forall @t141 (or (not (tptp.r1 @t3 @t137)) @t140 @t139)))) (or @t4 (not (forall @t133 (or (not (tptp.r1 @t3 @t126)) @t131 @t127)))))))) % 126.78/128.29 (define @t313 () (or @t7 @t312 @t311 @t307)) % 126.78/128.29 (define @t314 () (forall @t2 @t313)) % 126.78/128.29 (define @t315 () (not @t314)) % 126.78/128.29 (define @t316 () (forall @t11 (or @t9 @t4 (not (forall @t146 (or (not (tptp.r1 @t3 @t142)) @t144 @t143)))))) % 126.78/128.29 (define @t317 () (or @t7 @t316)) % 126.78/128.29 (define @t318 () (forall @t2 @t317)) % 126.78/128.29 (define @t319 () (or @t318 @t304)) % 126.78/128.29 (define @t320 () (and @t319 @t33)) % 126.78/128.29 (define @t321 () (or @t9 @t320 @t315)) % 126.78/128.29 (define @t322 () (not @t306)) % 126.78/128.29 (define @t323 () (not @t308)) % 126.78/128.29 (define @t324 () (or @t6 @t322)) % 126.78/128.29 (define @t325 () (or @t309 @t323)) % 126.78/128.29 (define @t326 () (or @t7 @t312 (not (and @t325 @t324)))) % 126.78/128.29 (define @t327 () (not @t277)) % 126.78/128.29 (define @t328 () (forall @t2 (or @t7 (forall @t130 (or (not (tptp.r1 @t1 @t128)) @t129)) @t20))) % 126.78/128.29 (define @t329 () (not @t328)) % 126.78/128.29 (define @t330 () (or @t4 @t329)) % 126.78/128.29 (define @t331 () (forall @t2 (or @t7 @t6 (not (forall @t138 (or (not (tptp.r1 @t1 @t134)) @t136 @t135)))))) % 126.78/128.29 (define @t332 () (not @t331)) % 126.78/128.29 (define @t333 () (forall @t2 (or @t7 (forall @t150 (or (not (tptp.r1 @t1 @t145)) @t148 @t147))))) % 126.78/128.29 (define @t334 () (or @t333 @t332)) % 126.78/128.29 (define @t335 () (and @t334 @t330)) % 126.78/128.29 (define @t336 () (or @t9 @t335)) % 126.78/128.29 (define @t337 () (forall @t11 @t336)) % 126.78/128.29 (define @t338 () (or @t7 @t337 @t327)) % 126.78/128.29 (define @t339 () (or @t9 @t303)) % 126.78/128.29 (define @t340 () (or @t9 @t320)) % 126.78/128.29 (define @t341 () (or @t7 @t271)) % 126.78/128.29 (define @t342 () (forall @t11 (or @t222 @t4 @t91))) % 126.78/128.29 (define @t343 () (not @t342)) % 126.78/128.29 (define @t344 () (forall @t11 (or @t222 @t195))) % 126.78/128.29 (define @t345 () (not @t344)) % 126.78/128.29 (define @t346 () (and @t345 @t223)) % 126.78/128.29 (define @t347 () (or @t346 (and (not (tptp.p2 @t220)) (forall @t11 (or @t222 @t183 @t5))))) % 126.78/128.29 (define @t348 () (and @t347 @t234)) % 126.78/128.29 (define @t349 () (forall @t11 (or @t222 @t210))) % 126.78/128.29 (define @t350 () (not @t349)) % 126.78/128.29 (define @t351 () (and @t350 @t226)) % 126.78/128.29 (define @t352 () (forall @t11 (or @t222 @t74))) % 126.78/128.29 (define @t353 () (not @t352)) % 126.78/128.29 (define @t354 () (and @t353 @t226)) % 126.78/128.29 (define @t355 () (or @t354 (forall @t11 (or @t222 @t66)) (not (forall @t11 (or @t222 @t66 @t216))) @t351 (forall @t11 (or @t222 @t50)) (not (forall @t11 (or @t222 @t50 @t203))) @t348 @t343)) % 126.78/128.29 (define @t356 () (@list true)) % 126.78/128.29 (define @t357 () (@list @t355)) % 126.78/128.29 (define @t358 () (@list @t227)) % 126.78/128.29 (define @t359 () (forall @t90 (or (not (tptp.r1 @t227 @t86)) @t89 @t88))) % 126.78/128.29 (define @t360 () (not @t359)) % 126.78/128.29 (define @t361 () (or @t230 @t228 @t360)) % 126.78/128.29 (define @t362 () (@var "BOUND_VARIABLE_10608" $$unsorted)) % 126.78/128.29 (define @t363 () (@var "BOUND_VARIABLE_10609" $$unsorted)) % 126.78/128.30 (define @t364 () (@var "BOUND_VARIABLE_10610" $$unsorted)) % 126.78/128.30 (define @t365 () (@list @t362 @t363 @t364)) % 126.78/128.30 (define @t366 () (forall @t194 (or (not (tptp.r1 @t227 @t191)) @t193 @t192))) % 126.78/128.30 (define @t367 () (or @t230 @t366)) % 126.78/128.30 (define @t368 () (forall @t156 (or (not (tptp.r1 @t235 @t100)) @t155 @t125 @t102))) % 126.78/128.30 (define @t369 () (not @t368)) % 126.78/128.30 (define @t370 () (forall @t164 (or (not (tptp.r1 @t235 @t158)) @t163 @t159))) % 126.78/128.30 (define @t371 () (not @t370)) % 126.78/128.30 (define @t372 () (or @t238 @t371)) % 126.78/128.30 (define @t373 () (forall @t172 (or (not (tptp.r1 @t235 @t168)) @t171 @t170))) % 126.78/128.30 (define @t374 () (not @t373)) % 126.78/128.30 (define @t375 () (forall @t179 (or (not (tptp.r1 @t235 @t176)) @t178))) % 126.78/128.30 (define @t376 () (or @t375 @t374)) % 126.78/128.30 (define @t377 () (and @t376 @t372)) % 126.78/128.30 (define @t378 () (or @t240 @t377 @t369)) % 126.78/128.30 (define @t379 () (not @t378)) % 126.78/128.30 (define @t380 () (not @t234)) % 126.78/128.30 (define @t381 () (@quantifiers_skolemize @t375 0)) % 126.78/128.30 (define @t382 () (@list @t381)) % 126.78/128.30 (define @t383 () (forall @t101 (or (not (tptp.r1 @t381 @t94)) @t99 @t95))) % 126.78/128.30 (define @t384 () (tptp.p2 @t381)) % 126.78/128.30 (define @t385 () (not @t384)) % 126.78/128.30 (define @t386 () (and @t385 @t383)) % 126.78/128.30 (define @t387 () (forall @t113 (or (not (tptp.r1 @t381 @t109)) @t112 @t111))) % 126.78/128.30 (define @t388 () (and (not (forall @t124 (or (not (tptp.r1 @t381 @t121)) @t123))) @t387)) % 126.78/128.30 (define @t389 () (forall @t154 (or (not (tptp.r1 @t381 @t132)) @t153))) % 126.78/128.30 (define @t390 () (tptp.r1 @t235 @t381)) % 126.78/128.30 (define @t391 () (not @t390)) % 126.78/128.30 (define @t392 () (or @t391 @t389 @t388 @t386)) % 126.78/128.30 (define @t393 () (not @t241)) % 126.78/128.30 (define @t394 () (forall @t177 (or (not (tptp.r1 @t381 @t173)) @t175 @t174))) % 126.78/128.30 (define @t395 () (or @t391 @t394)) % 126.78/128.30 (define @t396 () (not @t395)) % 126.78/128.30 (define @t397 () (not @t375)) % 126.78/128.30 (define @t398 () (forall @t169 (or (not (tptp.r1 @t381 @t165)) @t167 @t166))) % 126.78/128.30 (define @t399 () (not @t398)) % 126.78/128.30 (define @t400 () (or @t391 @t384 @t399)) % 126.78/128.30 (define @t401 () (@quantifiers_skolemize @t394 0)) % 126.78/128.30 (define @t402 () (forall @t146 (or (not (tptp.r1 @t401 @t142)) @t144 @t143))) % 126.78/128.30 (define @t403 () (not @t402)) % 126.78/128.30 (define @t404 () (tptp.p2 @t401)) % 126.78/128.30 (define @t405 () (tptp.r1 @t381 @t401)) % 126.78/128.30 (define @t406 () (not @t405)) % 126.78/128.30 (define @t407 () (or @t406 @t404 @t403)) % 126.78/128.30 (define @t408 () (not @t407)) % 126.78/128.30 (define @t409 () (not @t394)) % 126.78/128.30 (define @t410 () (@var "BOUND_VARIABLE_12688" $$unsorted)) % 126.78/128.30 (define @t411 () (@var "BOUND_VARIABLE_12689" $$unsorted)) % 126.78/128.30 (define @t412 () (@var "BOUND_VARIABLE_12690" $$unsorted)) % 126.78/128.30 (define @t413 () (@list @t410 @t411 @t412)) % 126.78/128.30 (define @t414 () (forall @t133 (or (not (tptp.r1 @t401 @t126)) @t131 @t127))) % 126.78/128.30 (define @t415 () (not @t414)) % 126.78/128.30 (define @t416 () (or @t404 @t415)) % 126.78/128.30 (define @t417 () (and (or (forall @t152 (or (not (tptp.r1 @t401 @t149)) @t151)) (not (forall @t141 (or (not (tptp.r1 @t401 @t137)) @t140 @t139)))) @t416)) % 126.78/128.30 (define @t418 () (or @t406 @t417)) % 126.78/128.30 (define @t419 () (not @t386)) % 126.78/128.30 (define @t420 () (not @t226)) % 126.78/128.30 (define @t421 () (@list true false)) % 126.78/128.30 (define @t422 () (forall @t209 (or (not (tptp.r1 @t220 @t207)) @t208))) % 126.78/128.30 (define @t423 () (@list false)) % 126.78/128.30 (define @t424 () (not @t422)) % 126.78/128.30 (define @t425 () (tptp.r1 @t220 @t220)) % 126.78/128.30 (define @t426 () (not @t425)) % 126.78/128.30 (define @t427 () (or @t426 @t424)) % 126.78/128.30 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 126.78/128.30 (assume @p2 (not (not @t79))) % 126.78/128.30 (assume @p3 true) % 126.78/128.30 (step @p4 :rule instantiate :premises (@p1) :args (@t221)) % 126.78/128.30 (step @p5 :rule cnf_or_neg :args (@t226 0)) % 126.78/128.30 (step @p6 :rule bool-double-not-elim :args (@t223)) % 126.78/128.30 (step @p7 :rule refl :args (@t226)) % 126.78/128.30 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or @t226 (not @t224)))) % 126.78/128.30 (step @p9 :rule cnf_or_neg :args (@t226 1)) % 126.78/128.30 (step @p10 :rule eq_resolve :premises (@p9 @p8)) % 126.78/128.30 (step @p11 :rule reordering :premises (@p10) :args ((or @t223 @t226))) % 126.78/128.30 (step @p12 :rule refl :args (@t232)) % 126.78/128.30 (step @p13 :rule bool-double-not-elim :args (@t225)) % 126.78/128.30 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t233) @t232))) % 126.78/128.30 (assume-push @p509 @t233) % 126.78/128.30 (step @p16 :rule skolemize :premises (@p509)) % 126.78/128.30 (step-pop @p510 :rule scope :premises (@p16)) % 126.78/128.30 (step @p17 :rule process_scope :premises (@p510) :args (@t232)) % 126.78/128.30 (step @p19 :rule implies_elim :premises (@p17)) % 126.78/128.30 (step @p20 :rule eq_resolve :premises (@p19 @p14)) % 126.78/128.30 (assume-push @p511 @t223) % 126.78/128.30 (step @p22 :rule instantiate :premises (@p511) :args ((@list @t235))) % 126.78/128.30 (step-pop @p512 :rule scope :premises (@p22)) % 126.78/128.30 (step @p23 :rule process_scope :premises (@p512) :args (@t241)) % 126.78/128.30 (step @p25 :rule implies_elim :premises (@p23)) % 126.78/128.30 (step @p26 :rule bool-double-not-elim :args (@t229)) % 126.78/128.30 (step @p27 :rule refl :args (@t231)) % 126.78/128.30 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t231 (not @t230)))) % 126.78/128.30 (step @p29 :rule cnf_or_neg :args (@t231 0)) % 126.78/128.30 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 126.78/128.30 (step @p31 :rule reordering :premises (@p30) :args ((or @t229 @t231))) % 126.78/128.30 (step @p32 :rule cnf_or_neg :args (@t231 1)) % 126.78/128.30 (step @p33 :rule aci_norm :args ((= (or @t218 @t67 @t217 @t211 @t51 @t204 (or @t198 @t93)) @t219))) % 126.78/128.30 (step @p34 :rule refl :args (@t93)) % 126.78/128.30 (step @p35 :rule refl :args (@t181)) % 126.78/128.30 (step @p36 :rule bool-double-not-elim :args (@t184)) % 126.78/128.30 (step @p37 :rule refl :args (@t20)) % 126.78/128.30 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((and @t20 (not @t242)))) % 126.78/128.30 (step @p39 :rule bool-or-de-morgan :args (@t6 @t242 false)) % 126.78/128.30 (step @p40 :rule trans :premises (@p39 @p38)) % 126.78/128.30 (step @p41 :rule bool-double-not-elim :args (@t190)) % 126.78/128.30 (step @p42 :rule refl :args (@t197)) % 126.78/128.30 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((and @t197 (not @t205)))) % 126.78/128.30 (step @p44 :rule bool-or-de-morgan :args (@t196 @t205 false)) % 126.78/128.30 (step @p45 :rule trans :premises (@p44 @p43)) % 126.78/128.30 (step @p46 :rule nary_cong :premises (@p45 @p40) :args ((or (not @t244) (not @t243)))) % 126.78/128.30 (step @p47 :rule bool-and-de-morgan :args (@t244 @t243 true)) % 126.78/128.30 (step @p48 :rule trans :premises (@p47 @p46)) % 126.78/128.30 (step @p49 :rule nary_cong :premises (@p48 @p35) :args ((and @t246 @t181))) % 126.78/128.30 (step @p50 :rule bool-double-not-elim :args (@t181)) % 126.78/128.30 (step @p51 :rule refl :args (@t246)) % 126.78/128.30 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((and @t246 (not @t247)))) % 126.78/128.30 (step @p53 :rule bool-or-de-morgan :args (@t245 @t247 false)) % 126.78/128.30 (step @p54 :rule trans :premises (@p53 @p52)) % 126.78/128.30 (step @p55 :rule trans :premises (@p54 @p49)) % 126.78/128.30 (step @p56 :rule nary_cong :premises (@p55 @p34) :args ((or (not @t248) @t93))) % 126.78/128.30 (step @p57 :rule bool-and-de-morgan :args (@t248 @t92 true)) % 126.78/128.30 (step @p58 :rule trans :premises (@p57 @p56)) % 126.78/128.30 (step @p59 :rule refl :args (@t204)) % 126.78/128.30 (step @p60 :rule refl :args (@t51)) % 126.78/128.30 (step @p61 :rule refl :args (@t211)) % 126.78/128.30 (step @p62 :rule refl :args (@t217)) % 126.78/128.30 (step @p63 :rule refl :args (@t67)) % 126.78/128.30 (step @p64 :rule refl :args (@t218)) % 126.78/128.30 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61 @p60 @p59 @p58) :args (@t249)) % 126.78/128.30 (step @p66 :rule trans :premises (@p65 @p33)) % 126.78/128.30 (step @p67 :rule cong :premises (@p66) :args ((forall @t2 @t249))) % 126.78/128.30 (step @p68 :rule alpha_equiv :args (@t250 @t251 (@list @t86))) % 126.78/128.30 (step @p69 :rule cong :premises (@p68) :args (@t252)) % 126.78/128.30 (step @p70 :rule refl :args (@t4)) % 126.78/128.30 (step @p71 :rule refl :args (@t9)) % 126.78/128.30 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args (@t253)) % 126.78/128.30 (step @p73 :rule cong :premises (@p72) :args (@t254)) % 126.78/128.30 (step @p74 :rule alpha_equiv :args (@t255 @t251 (@list @t100))) % 126.78/128.30 (step @p75 :rule cong :premises (@p74) :args (@t256)) % 126.78/128.30 (step @p76 :rule alpha_equiv :args (@t257 @t251 (@list @t158))) % 126.78/128.30 (step @p77 :rule cong :premises (@p76) :args (@t258)) % 126.78/128.30 (step @p78 :rule nary_cong :premises (@p70 @p77) :args (@t259)) % 126.78/128.30 (step @p79 :rule alpha_equiv :args (@t260 @t251 (@list @t168))) % 126.78/128.30 (step @p80 :rule cong :premises (@p79) :args (@t261)) % 126.78/128.30 (step @p81 :rule alpha_equiv :args (@t262 @t251 (@list @t176))) % 126.78/128.30 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t263)) % 126.78/128.30 (step @p83 :rule nary_cong :premises (@p82 @p78) :args (@t264)) % 126.78/128.30 (step @p84 :rule nary_cong :premises (@p71 @p83 @p75) :args (@t265)) % 126.78/128.30 (step @p85 :rule cong :premises (@p84) :args (@t266)) % 126.78/128.30 (step @p86 :rule cong :premises (@p85) :args (@t267)) % 126.78/128.30 (step @p87 :rule refl :args (@t5)) % 126.78/128.30 (step @p88 :rule alpha_equiv :args (@t8 @t251 (@list @t182))) % 126.78/128.30 (step @p89 :rule nary_cong :premises (@p71 @p88 @p87) :args (@t10)) % 126.78/128.30 (step @p90 :rule cong :premises (@p89) :args (@t12)) % 126.78/128.30 (step @p91 :rule cong :premises (@p90) :args (@t13)) % 126.78/128.30 (step @p92 :rule refl :args (@t6)) % 126.78/128.30 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t19)) % 126.78/128.30 (step @p94 :rule alpha_equiv :args (@t268 @t251 (@list @t185))) % 126.78/128.30 (step @p95 :rule cong :premises (@p94) :args (@t269)) % 126.78/128.30 (step @p96 :rule nary_cong :premises (@p71 @p70 @p95) :args (@t270)) % 126.78/128.30 (step @p97 :rule cong :premises (@p96) :args (@t271)) % 126.78/128.30 (step @p98 :rule cong :premises (@p97) :args (@t272)) % 126.78/128.30 (step @p99 :rule alpha_equiv :args (@t273 @t251 (@list @t191))) % 126.78/128.30 (step @p100 :rule nary_cong :premises (@p71 @p99) :args (@t274)) % 126.78/128.30 (step @p101 :rule cong :premises (@p100) :args (@t275)) % 126.78/128.30 (step @p102 :rule nary_cong :premises (@p101 @p98) :args (@t276)) % 126.78/128.30 (step @p103 :rule nary_cong :premises (@p102 @p93) :args (@t277)) % 126.78/128.30 (step @p104 :rule nary_cong :premises (@p103 @p86) :args (@t278)) % 126.78/128.30 (step @p105 :rule nary_cong :premises (@p104 @p73) :args (@t279)) % 126.78/128.30 (step @p106 :rule cong :premises (@p105) :args (@t280)) % 126.78/128.30 (step @p107 :rule alpha_equiv :args (@t281 @t251 (@list @t199))) % 126.78/128.30 (step @p108 :rule cong :premises (@p107) :args (@t282)) % 126.78/128.30 (step @p109 :rule refl :args (@t50)) % 126.78/128.30 (step @p110 :rule nary_cong :premises (@p71 @p109 @p108) :args (@t283)) % 126.78/128.30 (step @p111 :rule cong :premises (@p110) :args (@t284)) % 126.78/128.30 (step @p112 :rule cong :premises (@p111) :args (@t285)) % 126.78/128.30 (step @p113 :rule refl :args (@t21)) % 126.78/128.30 (step @p114 :rule nary_cong :premises (@p113 @p98) :args (@t286)) % 126.78/128.30 (step @p115 :rule alpha_equiv :args (@t59 @t251 @t287)) % 126.78/128.30 (step @p116 :rule cong :premises (@p115) :args (@t60)) % 126.78/128.30 (step @p117 :rule nary_cong :premises (@p71 @p116) :args (@t61)) % 126.78/128.30 (step @p118 :rule cong :premises (@p117) :args (@t62)) % 126.78/128.30 (step @p119 :rule cong :premises (@p118) :args (@t63)) % 126.78/128.30 (step @p120 :rule nary_cong :premises (@p119 @p114) :args (@t288)) % 126.78/128.30 (step @p121 :rule alpha_equiv :args (@t289 @t251 (@list @t212))) % 126.78/128.30 (step @p122 :rule cong :premises (@p121) :args (@t290)) % 126.78/128.30 (step @p123 :rule refl :args (@t66)) % 126.78/128.30 (step @p124 :rule nary_cong :premises (@p71 @p123 @p122) :args (@t291)) % 126.78/128.30 (step @p125 :rule cong :premises (@p124) :args (@t292)) % 126.78/128.30 (step @p126 :rule cong :premises (@p125) :args (@t293)) % 126.78/128.30 (step @p127 :rule refl :args (@t75)) % 126.78/128.30 (step @p128 :rule nary_cong :premises (@p127 @p114) :args (@t294)) % 126.78/128.30 (step @p129 :rule nary_cong :premises (@p128 @p63 @p126 @p120 @p60 @p112 @p106) :args (@t295)) % 126.78/128.30 (step @p130 :rule cong :premises (@p129) :args ((forall @t2 @t295))) % 126.78/128.30 (step @p131 :rule trans :premises (@p130 @p67)) % 126.78/128.30 (step @p132 :rule bool-double-not-elim :args (@t295)) % 126.78/128.30 (step @p133 :rule cong :premises (@p132) :args (@t297)) % 126.78/128.30 (step @p134 :rule trans :premises (@p133 @p131)) % 126.78/128.30 (step @p135 :rule cong :premises (@p134) :args (@t298)) % 126.78/128.30 (step @p136 :rule exists-elim :args ((= (exists @t2 @t296) @t298))) % 126.78/128.30 (step @p137 :rule trans :premises (@p136 @p135)) % 126.78/128.30 (step @p138 :rule alpha_equiv :args (@t299 @t300 (@list @t80))) % 126.78/128.30 (step @p139 :rule cong :premises (@p138) :args (@t301)) % 126.78/128.30 (step @p140 :rule refl :args (@t7)) % 126.78/128.30 (step @p141 :rule nary_cong :premises (@p140 @p92 @p139) :args (@t302)) % 126.78/128.30 (step @p142 :rule cong :premises (@p141) :args (@t303)) % 126.78/128.30 (step @p143 :rule cong :premises (@p142) :args (@t304)) % 126.78/128.30 (step @p144 :rule nary_cong :premises (@p71 @p70 @p143) :args (@t305)) % 126.78/128.30 (step @p145 :rule cong :premises (@p144) :args ((forall @t11 @t305))) % 126.78/128.30 (step @p146 :rule alpha_equiv :args (@t8 @t251 (@list @t82))) % 126.78/128.30 (step @p147 :rule nary_cong :premises (@p71 @p146 @p87) :args (@t10)) % 126.78/128.30 (step @p148 :rule cong :premises (@p147) :args (@t12)) % 126.78/128.30 (step @p149 :rule cong :premises (@p148) :args (@t13)) % 126.78/128.30 (step @p150 :rule nary_cong :premises (@p140 @p92 @p149) :args (@t14)) % 126.78/128.30 (step @p151 :rule cong :premises (@p150) :args (@t15)) % 126.78/128.30 (step @p152 :rule cong :premises (@p151) :args (@t16)) % 126.78/128.30 (step @p153 :rule refl :args (@t4)) % 126.78/128.30 (step @p154 :rule refl :args (@t9)) % 126.78/128.30 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args (@t17)) % 126.78/128.30 (step @p156 :rule cong :premises (@p155) :args (@t18)) % 126.78/128.30 (step @p157 :rule trans :premises (@p156 @p145)) % 126.78/128.30 (step @p158 :rule alpha_equiv :args (@t306 @t300 (@list @t94))) % 126.78/128.30 (step @p159 :rule nary_cong :premises (@p37 @p158) :args (@t307)) % 126.78/128.30 (step @p160 :rule alpha_equiv :args (@t308 @t300 (@list @t109))) % 126.78/128.30 (step @p161 :rule alpha_equiv :args (@t309 @t300 (@list @t121))) % 126.78/128.30 (step @p162 :rule cong :premises (@p161) :args (@t310)) % 126.78/128.30 (step @p163 :rule nary_cong :premises (@p162 @p160) :args (@t311)) % 126.78/128.30 (step @p164 :rule alpha_equiv :args (@t312 @t300 (@list @t132))) % 126.78/128.30 (step @p165 :rule nary_cong :premises (@p140 @p164 @p163 @p159) :args (@t313)) % 0.20/128.30 (step @p166 :rule cong :premises (@p165) :args (@t314)) % 0.20/128.30 (step @p167 :rule cong :premises (@p166) :args (@t315)) % 0.20/128.30 (step @p168 :rule alpha_equiv :args (@t21 @t300 (@list @t160))) % 0.20/128.30 (step @p169 :rule nary_cong :premises (@p140 @p168 @p37) :args (@t22)) % 0.20/128.30 (step @p170 :rule cong :premises (@p169) :args (@t23)) % 0.20/128.30 (step @p171 :rule cong :premises (@p170) :args (@t24)) % 0.20/128.30 (step @p172 :rule nary_cong :premises (@p70 @p171) :args (@t33)) % 0.20/128.30 (step @p173 :rule alpha_equiv :args (@t299 @t300 (@list @t165))) % 0.20/128.30 (step @p174 :rule cong :premises (@p173) :args (@t301)) % 0.20/128.30 (step @p175 :rule nary_cong :premises (@p140 @p92 @p174) :args (@t302)) % 0.20/128.30 (step @p176 :rule cong :premises (@p175) :args (@t303)) % 0.20/128.30 (step @p177 :rule cong :premises (@p176) :args (@t304)) % 0.20/128.30 (step @p178 :rule alpha_equiv :args (@t316 @t300 (@list @t173))) % 0.20/128.30 (step @p179 :rule nary_cong :premises (@p140 @p178) :args (@t317)) % 0.20/128.30 (step @p180 :rule cong :premises (@p179) :args (@t318)) % 0.20/128.30 (step @p181 :rule nary_cong :premises (@p180 @p177) :args (@t319)) % 0.20/128.30 (step @p182 :rule nary_cong :premises (@p181 @p172) :args (@t320)) % 0.20/128.30 (step @p183 :rule nary_cong :premises (@p71 @p182 @p167) :args (@t321)) % 0.20/128.30 (step @p184 :rule cong :premises (@p183) :args ((forall @t11 @t321))) % 0.20/128.30 (step @p185 :rule aci_norm :args ((= (or @t7 @t312 (or @t311 @t307)) @t313))) % 0.20/128.30 (step @p186 :rule bool-double-not-elim :args (@t306)) % 0.20/128.30 (step @p187 :rule nary_cong :premises (@p37 @p186) :args ((and @t20 (not @t322)))) % 0.20/128.30 (step @p188 :rule bool-or-de-morgan :args (@t6 @t322 false)) % 0.20/128.30 (step @p189 :rule trans :premises (@p188 @p187)) % 0.20/128.30 (step @p190 :rule bool-double-not-elim :args (@t308)) % 0.20/128.30 (step @p191 :rule refl :args (@t310)) % 0.20/128.30 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((and @t310 (not @t323)))) % 0.20/128.30 (step @p193 :rule bool-or-de-morgan :args (@t309 @t323 false)) % 0.20/128.30 (step @p194 :rule trans :premises (@p193 @p192)) % 0.20/128.30 (step @p195 :rule nary_cong :premises (@p194 @p189) :args ((or (not @t325) (not @t324)))) % 0.20/128.30 (step @p196 :rule bool-and-de-morgan :args (@t325 @t324 true)) % 0.20/128.30 (step @p197 :rule trans :premises (@p196 @p195)) % 0.20/128.30 (step @p198 :rule refl :args (@t312)) % 0.20/128.30 (step @p199 :rule nary_cong :premises (@p140 @p198 @p197) :args (@t326)) % 0.20/128.30 (step @p200 :rule trans :premises (@p199 @p185)) % 0.20/128.30 (step @p201 :rule cong :premises (@p200) :args ((forall @t2 @t326))) % 0.20/128.30 (step @p202 :rule alpha_equiv :args (@t8 @t251 (@list @t96))) % 0.20/128.30 (step @p203 :rule nary_cong :premises (@p71 @p202 @p87) :args (@t10)) % 0.20/128.30 (step @p204 :rule cong :premises (@p203) :args (@t12)) % 0.20/128.30 (step @p205 :rule cong :premises (@p204) :args (@t13)) % 0.20/128.30 (step @p206 :rule nary_cong :premises (@p92 @p205) :args (@t19)) % 0.20/128.30 (step @p207 :rule alpha_equiv :args (@t268 @t251 (@list @t103))) % 0.20/128.30 (step @p208 :rule cong :premises (@p207) :args (@t269)) % 0.20/128.30 (step @p209 :rule nary_cong :premises (@p71 @p70 @p208) :args (@t270)) % 0.20/128.30 (step @p210 :rule cong :premises (@p209) :args (@t271)) % 0.20/128.30 (step @p211 :rule cong :premises (@p210) :args (@t272)) % 0.20/128.30 (step @p212 :rule alpha_equiv :args (@t273 @t251 (@list @t117))) % 0.20/128.30 (step @p213 :rule nary_cong :premises (@p71 @p212) :args (@t274)) % 0.20/128.30 (step @p214 :rule cong :premises (@p213) :args (@t275)) % 0.20/128.30 (step @p215 :rule nary_cong :premises (@p214 @p211) :args (@t276)) % 0.20/128.30 (step @p216 :rule nary_cong :premises (@p215 @p206) :args (@t277)) % 0.20/128.30 (step @p217 :rule cong :premises (@p216) :args (@t327)) % 0.20/128.30 (step @p218 :rule alpha_equiv :args (@t328 @t251 (@list @t126))) % 0.20/128.30 (step @p219 :rule cong :premises (@p218) :args (@t329)) % 0.20/128.30 (step @p220 :rule nary_cong :premises (@p70 @p219) :args (@t330)) % 0.20/128.30 (step @p221 :rule alpha_equiv :args (@t331 @t251 (@list @t137))) % 0.20/128.30 (step @p222 :rule cong :premises (@p221) :args (@t332)) % 0.20/128.30 (step @p223 :rule alpha_equiv :args (@t333 @t251 (@list @t149))) % 0.20/128.30 (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t334)) % 0.20/128.30 (step @p225 :rule nary_cong :premises (@p224 @p220) :args (@t335)) % 0.20/128.30 (step @p226 :rule nary_cong :premises (@p71 @p225) :args (@t336)) % 0.20/128.30 (step @p227 :rule cong :premises (@p226) :args (@t337)) % 0.20/128.30 (step @p228 :rule nary_cong :premises (@p140 @p227 @p217) :args (@t338)) % 0.20/128.30 (step @p229 :rule cong :premises (@p228) :args ((forall @t2 @t338))) % 0.20/128.30 (step @p230 :rule trans :premises (@p229 @p201)) % 0.20/128.30 (step @p231 :rule refl :args (@t19)) % 0.20/128.30 (step @p232 :rule alpha_equiv :args (@t21 @t300 (@list @t105))) % 0.20/128.30 (step @p233 :rule nary_cong :premises (@p140 @p232 @p37) :args (@t22)) % 0.20/128.30 (step @p234 :rule cong :premises (@p233) :args (@t23)) % 0.20/128.30 (step @p235 :rule cong :premises (@p234) :args (@t24)) % 0.20/128.30 (step @p236 :rule nary_cong :premises (@p71 @p70 @p235) :args (@t25)) % 0.20/128.30 (step @p237 :rule cong :premises (@p236) :args (@t26)) % 0.20/128.30 (step @p238 :rule cong :premises (@p237) :args (@t27)) % 0.20/128.30 (step @p239 :rule alpha_equiv :args (@t299 @t300 (@list @t114))) % 0.20/128.30 (step @p240 :rule cong :premises (@p239) :args (@t301)) % 0.20/128.30 (step @p241 :rule nary_cong :premises (@p140 @p92 @p240) :args (@t302)) % 0.20/128.30 (step @p242 :rule cong :premises (@p241) :args (@t303)) % 0.20/128.30 (step @p243 :rule nary_cong :premises (@p71 @p242) :args (@t339)) % 0.20/128.30 (step @p244 :rule cong :premises (@p243) :args ((forall @t11 @t339))) % 0.20/128.30 (step @p245 :rule nary_cong :premises (@p154 @p151) :args (@t28)) % 0.20/128.30 (step @p246 :rule cong :premises (@p245) :args (@t29)) % 0.20/128.30 (step @p247 :rule trans :premises (@p246 @p244)) % 0.20/128.30 (step @p248 :rule nary_cong :premises (@p247 @p238) :args (@t30)) % 0.20/128.30 (step @p249 :rule nary_cong :premises (@p248 @p231) :args (@t31)) % 0.20/128.30 (step @p250 :rule cong :premises (@p249) :args (@t32)) % 0.20/128.30 (step @p251 :rule alpha_equiv :args (@t21 @t300 (@list @t128))) % 0.20/128.30 (step @p252 :rule nary_cong :premises (@p140 @p251 @p37) :args (@t22)) % 0.20/128.30 (step @p253 :rule cong :premises (@p252) :args (@t23)) % 0.20/128.30 (step @p254 :rule cong :premises (@p253) :args (@t24)) % 0.20/128.30 (step @p255 :rule nary_cong :premises (@p70 @p254) :args (@t33)) % 0.20/128.30 (step @p256 :rule alpha_equiv :args (@t299 @t300 (@list @t134))) % 0.20/128.30 (step @p257 :rule cong :premises (@p256) :args (@t301)) % 0.20/128.30 (step @p258 :rule nary_cong :premises (@p140 @p92 @p257) :args (@t302)) % 0.20/128.30 (step @p259 :rule cong :premises (@p258) :args (@t303)) % 0.20/128.30 (step @p260 :rule cong :premises (@p259) :args (@t304)) % 0.20/128.30 (step @p261 :rule alpha_equiv :args (@t316 @t300 (@list @t145))) % 0.20/128.30 (step @p262 :rule nary_cong :premises (@p140 @p261) :args (@t317)) % 0.20/128.30 (step @p263 :rule cong :premises (@p262) :args (@t318)) % 0.20/128.30 (step @p264 :rule nary_cong :premises (@p263 @p260) :args (@t319)) % 0.20/128.30 (step @p265 :rule nary_cong :premises (@p264 @p255) :args (@t320)) % 0.20/128.30 (step @p266 :rule nary_cong :premises (@p71 @p265) :args (@t340)) % 0.20/128.30 (step @p267 :rule cong :premises (@p266) :args ((forall @t11 @t340))) % 0.20/128.30 (step @p268 :rule refl :args (@t33)) % 0.20/128.30 (step @p269 :rule alpha_equiv :args (@t268 @t251 (@list @t142))) % 0.20/128.30 (step @p270 :rule cong :premises (@p269) :args (@t269)) % 0.20/128.30 (step @p271 :rule nary_cong :premises (@p71 @p70 @p270) :args (@t270)) % 0.20/128.30 (step @p272 :rule cong :premises (@p271) :args (@t271)) % 0.20/128.30 (step @p273 :rule nary_cong :premises (@p140 @p272) :args (@t341)) % 0.20/128.30 (step @p274 :rule cong :premises (@p273) :args ((forall @t2 @t341))) % 0.20/128.30 (step @p275 :rule refl :args (@t7)) % 0.20/128.30 (step @p276 :rule nary_cong :premises (@p275 @p237) :args (@t34)) % 0.20/128.30 (step @p277 :rule cong :premises (@p276) :args (@t35)) % 0.20/128.30 (step @p278 :rule trans :premises (@p277 @p274)) % 0.20/128.30 (step @p279 :rule nary_cong :premises (@p278 @p152) :args (@t36)) % 0.20/128.30 (step @p280 :rule nary_cong :premises (@p279 @p268) :args (@t37)) % 0.20/128.30 (step @p281 :rule nary_cong :premises (@p154 @p280) :args (@t38)) % 0.20/128.30 (step @p282 :rule cong :premises (@p281) :args (@t39)) % 0.20/128.30 (step @p283 :rule trans :premises (@p282 @p267)) % 0.20/128.30 (step @p284 :rule nary_cong :premises (@p275 @p283 @p250) :args (@t40)) % 0.20/128.30 (step @p285 :rule cong :premises (@p284) :args (@t41)) % 0.20/128.30 (step @p286 :rule trans :premises (@p285 @p230)) % 0.20/128.30 (step @p287 :rule cong :premises (@p286) :args (@t42)) % 0.20/128.30 (step @p288 :rule nary_cong :premises (@p154 @p280 @p287) :args (@t43)) % 0.20/128.30 (step @p289 :rule cong :premises (@p288) :args (@t44)) % 0.20/128.30 (step @p290 :rule trans :premises (@p289 @p184)) % 0.20/128.30 (step @p291 :rule cong :premises (@p290) :args (@t45)) % 0.20/128.30 (step @p292 :rule nary_cong :premises (@p249 @p291) :args (@t46)) % 0.20/128.30 (step @p293 :rule nary_cong :premises (@p292 @p157) :args (@t47)) % 0.20/128.30 (step @p294 :rule cong :premises (@p293) :args (@t48)) % 0.20/128.30 (step @p295 :rule refl :args (@t49)) % 0.20/128.30 (step @p296 :rule alpha_equiv :args (@t51 @t300 (@list @t200))) % 0.20/128.30 (step @p297 :rule nary_cong :premises (@p140 @p296 @p295) :args (@t52)) % 0.20/128.30 (step @p298 :rule cong :premises (@p297) :args (@t53)) % 0.20/128.30 (step @p299 :rule cong :premises (@p298) :args (@t54)) % 0.20/128.30 (step @p300 :rule nary_cong :premises (@p71 @p109 @p299) :args (@t55)) % 0.20/128.30 (step @p301 :rule cong :premises (@p300) :args (@t56)) % 0.20/128.30 (step @p302 :rule cong :premises (@p301) :args (@t57)) % 0.20/128.30 (step @p303 :rule refl :args (@t51)) % 0.20/128.30 (step @p304 :rule refl :args (@t21)) % 0.20/128.30 (step @p305 :rule nary_cong :premises (@p304 @p238) :args (@t58)) % 0.20/128.30 (step @p306 :rule refl :args (@t63)) % 0.20/128.30 (step @p307 :rule nary_cong :premises (@p306 @p305) :args (@t64)) % 0.20/128.30 (step @p308 :rule refl :args (@t65)) % 0.20/128.30 (step @p309 :rule alpha_equiv :args (@t67 @t300 (@list @t213))) % 0.20/128.30 (step @p310 :rule nary_cong :premises (@p140 @p309 @p308) :args (@t68)) % 0.20/128.30 (step @p311 :rule cong :premises (@p310) :args (@t69)) % 0.20/128.30 (step @p312 :rule cong :premises (@p311) :args (@t70)) % 0.20/128.30 (step @p313 :rule nary_cong :premises (@p71 @p123 @p312) :args (@t71)) % 0.20/128.30 (step @p314 :rule cong :premises (@p313) :args (@t72)) % 0.20/128.30 (step @p315 :rule cong :premises (@p314) :args (@t73)) % 0.20/128.30 (step @p316 :rule refl :args (@t67)) % 0.20/128.30 (step @p317 :rule refl :args (@t75)) % 0.20/128.30 (step @p318 :rule nary_cong :premises (@p317 @p305) :args (@t76)) % 0.20/128.30 (step @p319 :rule nary_cong :premises (@p318 @p316 @p315 @p307 @p303 @p302 @p294) :args (@t77)) % 0.20/128.30 (step @p320 :rule cong :premises (@p319) :args (@t78)) % 0.20/128.30 (step @p321 :rule cong :premises (@p320) :args (@t79)) % 0.20/128.30 (step @p322 :rule trans :premises (@p321 @p137)) % 0.20/128.30 (step @p323 :rule bool-double-not-elim :args (@t79)) % 0.20/128.30 (step @p324 :rule trans :premises (@p323 @p322)) % 0.20/128.30 (step @p325 :rule eq_resolve :premises (@p2 @p324)) % 0.20/128.30 (step @p326 :rule skolemize :premises (@p325)) % 0.20/128.30 (step @p327 :rule bool-double-not-elim :args (@t342)) % 0.20/128.30 (step @p328 :rule refl :args (@t355)) % 0.20/128.30 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t355 (not @t343)))) % 0.20/128.30 (step @p330 :rule cnf_or_neg :args (@t355 7)) % 0.20/128.30 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 0.20/128.30 (step @p332 :rule reordering :premises (@p331) :args ((or @t342 @t355))) % 0.20/128.30 (step @p333 :rule chain_m_resolution :premises (@p332 @p326) :args (@t342 @t356 @t357)) % 0.20/128.30 (step @p334 :rule instantiate :premises (@p333) :args (@t358)) % 0.20/128.30 (step @p335 :rule cnf_or_pos :args (@t361)) % 0.20/128.30 (step @p336 :rule reordering :premises (@p335) :args ((or @t230 @t228 @t360 (not @t361)))) % 0.20/128.30 (step @p337 :rule alpha_equiv :args ((forall (@list @t364) (or (not (tptp.r1 @t227 @t364)) (tptp.p2 @t364) (not (forall (@list @t362) (or (not (tptp.r1 @t364 @t362)) (forall (@list @t363) (or (not (tptp.r1 @t362 @t363)) (tptp.p2 @t363))) (not (tptp.p2 @t362))))))) @t365 (@list @t114 @t82 @t191))) % 0.20/128.30 (step @p338 :rule alpha_equiv :args (@t359 (@list @t80 @t82 @t86) @t365)) % 0.20/128.30 (step @p339 :rule trans :premises (@p338 @p337)) % 0.20/128.30 (step @p340 :rule equiv_elim2 :premises (@p339)) % 0.20/128.30 (step @p341 :rule cnf_or_pos :args (@t367)) % 0.20/128.30 (step @p342 :rule reordering :premises (@p341) :args ((or @t230 @t366 (not @t367)))) % 0.20/128.30 (assume-push @p513 @t344) % 0.20/128.30 (step @p344 :rule instantiate :premises (@p513) :args (@t358)) % 0.20/128.30 (step-pop @p514 :rule scope :premises (@p344)) % 0.20/128.30 (step @p345 :rule process_scope :premises (@p514) :args (@t367)) % 0.20/128.30 (step @p347 :rule implies_elim :premises (@p345)) % 0.20/128.30 (step @p348 :rule refl :args (@t224)) % 0.20/128.30 (step @p349 :rule bool-double-not-elim :args (@t344)) % 0.20/128.30 (step @p350 :rule refl :args (@t346)) % 0.20/128.30 (step @p351 :rule nary_cong :premises (@p350 @p349 @p348) :args ((or @t346 (not @t345) @t224))) % 0.20/128.30 (step @p352 :rule cnf_and_neg :args (@t346)) % 0.20/128.30 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 0.20/128.30 (step @p354 :rule reordering :premises (@p353) :args ((or @t224 @t344 @t346))) % 0.20/128.30 (step @p355 :rule cnf_or_neg :args (@t347 0)) % 0.20/128.30 (step @p356 :rule cnf_or_neg :args (@t355 6)) % 0.20/128.30 (step @p357 :rule chain_m_resolution :premises (@p356 @p326) :args ((not @t348) @t356 @t357)) % 0.20/128.30 (step @p358 :rule cnf_and_neg :args (@t348)) % 0.20/128.30 (step @p359 :rule refl :args (@t379)) % 0.20/128.30 (step @p360 :rule bool-double-not-elim :args (@t234)) % 0.20/128.30 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or (not @t380) @t379))) % 0.20/128.30 (assume-push @p515 @t380) % 0.20/128.30 (step @p363 :rule skolemize :premises (@p515)) % 0.20/128.30 (step-pop @p516 :rule scope :premises (@p363)) % 0.20/128.30 (step @p364 :rule process_scope :premises (@p516) :args (@t379)) % 0.20/128.30 (step @p366 :rule implies_elim :premises (@p364)) % 0.20/128.30 (step @p367 :rule eq_resolve :premises (@p366 @p361)) % 0.20/128.30 (step @p368 :rule bool-double-not-elim :args (@t239)) % 0.20/128.30 (step @p369 :rule refl :args (@t378)) % 0.20/128.30 (step @p370 :rule nary_cong :premises (@p369 @p368) :args ((or @t378 (not @t240)))) % 0.20/128.30 (step @p371 :rule cnf_or_neg :args (@t378 0)) % 0.20/128.30 (step @p372 :rule eq_resolve :premises (@p371 @p370)) % 0.20/128.30 (step @p373 :rule reordering :premises (@p372) :args ((or @t239 @t378))) % 0.20/128.30 (step @p374 :rule cnf_or_neg :args (@t378 1)) % 0.20/128.30 (step @p375 :rule bool-double-not-elim :args (@t368)) % 0.20/128.30 (step @p376 :rule nary_cong :premises (@p369 @p375) :args ((or @t378 (not @t369)))) % 0.20/128.30 (step @p377 :rule cnf_or_neg :args (@t378 2)) % 0.20/128.30 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 0.20/128.30 (step @p379 :rule reordering :premises (@p378) :args ((or @t368 @t378))) % 0.20/128.30 (assume-push @p517 @t368) % 0.20/128.30 (step @p381 :rule instantiate :premises (@p517) :args (@t382)) % 0.20/128.30 (step-pop @p518 :rule scope :premises (@p381)) % 0.20/128.30 (step @p382 :rule process_scope :premises (@p518) :args (@t392)) % 0.20/128.30 (step @p384 :rule implies_elim :premises (@p382)) % 0.20/128.30 (step @p385 :rule cnf_or_neg :args (@t372 0)) % 0.20/128.30 (step @p386 :rule bool-double-not-elim :args (@t370)) % 0.20/128.30 (step @p387 :rule refl :args (@t372)) % 0.20/128.30 (step @p388 :rule nary_cong :premises (@p387 @p386) :args ((or @t372 (not @t371)))) % 0.20/128.30 (step @p389 :rule cnf_or_neg :args (@t372 1)) % 0.20/128.30 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 0.20/128.30 (step @p391 :rule reordering :premises (@p390) :args ((or @t370 @t372))) % 0.20/128.30 (step @p392 :rule cnf_or_pos :args (@t241)) % 0.20/128.30 (step @p393 :rule reordering :premises (@p392) :args ((or @t240 @t238 @t237 @t393))) % 0.20/128.30 (step @p394 :rule alpha_equiv :args (@t370 (@list @t160 @t158) (@list @t105 @t185))) % 0.20/128.30 (step @p395 :rule equiv_elim1 :premises (@p394)) % 0.20/128.30 (step @p396 :rule chain_m_resolution :premises (@p395 @p393 @p391 @p385) :args ((or @t240 @t372 @t393) (@list true false true) (@list @t236 @t370 @t238))) % 0.20/128.30 (step @p397 :rule cnf_and_neg :args (@t377)) % 0.20/128.30 (step @p398 :rule cnf_or_neg :args (@t376 0)) % 0.20/128.30 (step @p399 :rule bool-double-not-elim :args (@t373)) % 0.20/128.30 (step @p400 :rule refl :args (@t376)) % 0.20/128.30 (step @p401 :rule nary_cong :premises (@p400 @p399) :args ((or @t376 (not @t374)))) % 0.20/128.30 (step @p402 :rule cnf_or_neg :args (@t376 1)) % 0.20/128.30 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 0.20/128.30 (step @p404 :rule reordering :premises (@p403) :args ((or @t373 @t376))) % 0.20/128.30 (step @p405 :rule refl :args (@t396)) % 0.20/128.30 (step @p406 :rule bool-double-not-elim :args (@t375)) % 0.20/128.30 (step @p407 :rule nary_cong :premises (@p406 @p405) :args ((or (not @t397) @t396))) % 0.20/128.30 (assume-push @p519 @t397) % 0.20/128.30 (step @p409 :rule skolemize :premises (@p519)) % 0.20/128.30 (step-pop @p520 :rule scope :premises (@p409)) % 0.20/128.30 (step @p410 :rule process_scope :premises (@p520) :args (@t396)) % 0.20/128.30 (step @p412 :rule implies_elim :premises (@p410)) % 0.20/128.30 (step @p413 :rule eq_resolve :premises (@p412 @p407)) % 0.20/128.30 (assume-push @p521 @t373) % 0.20/128.30 (step @p415 :rule instantiate :premises (@p521) :args (@t382)) % 0.20/128.30 (step-pop @p522 :rule scope :premises (@p415)) % 0.20/128.30 (step @p416 :rule process_scope :premises (@p522) :args (@t400)) % 0.20/128.30 (step @p418 :rule implies_elim :premises (@p416)) % 0.20/128.30 (step @p419 :rule bool-double-not-elim :args (@t390)) % 0.20/128.30 (step @p420 :rule refl :args (@t395)) % 0.20/128.30 (step @p421 :rule nary_cong :premises (@p420 @p419) :args ((or @t395 (not @t391)))) % 0.20/128.30 (step @p422 :rule cnf_or_neg :args (@t395 0)) % 0.20/128.30 (step @p423 :rule eq_resolve :premises (@p422 @p421)) % 0.20/128.30 (step @p424 :rule reordering :premises (@p423) :args ((or @t390 @t395))) % 0.20/128.30 (step @p425 :rule cnf_or_neg :args (@t395 1)) % 0.20/128.30 (step @p426 :rule refl :args (@t408)) % 0.20/128.30 (step @p427 :rule bool-double-not-elim :args (@t394)) % 0.20/128.30 (step @p428 :rule nary_cong :premises (@p427 @p426) :args ((or (not @t409) @t408))) % 0.20/128.30 (assume-push @p523 @t409) % 0.20/128.30 (step @p430 :rule skolemize :premises (@p523)) % 0.20/128.30 (step-pop @p524 :rule scope :premises (@p430)) % 0.20/128.30 (step @p431 :rule process_scope :premises (@p524) :args (@t408)) % 0.20/128.30 (step @p433 :rule implies_elim :premises (@p431)) % 0.20/128.30 (step @p434 :rule eq_resolve :premises (@p433 @p428)) % 0.20/128.30 (step @p435 :rule alpha_equiv :args ((forall (@list @t412) (or (not (tptp.r1 @t381 @t412)) (tptp.p2 @t412) (not (forall (@list @t410) (or (not (tptp.r1 @t412 @t410)) (forall (@list @t411) (or (not (tptp.r1 @t410 @t411)) (tptp.p2 @t411))) (not (tptp.p2 @t410))))))) @t413 (@list @t103 @t105 @t109))) % 0.20/128.30 (step @p436 :rule alpha_equiv :args (@t394 (@list @t142 @t105 @t173) @t413)) % 0.20/128.30 (step @p437 :rule trans :premises (@p436 @p435)) % 0.20/128.30 (step @p438 :rule equiv_elim2 :premises (@p437)) % 0.20/128.30 (step @p439 :rule bool-double-not-elim :args (@t405)) % 0.20/128.30 (step @p440 :rule refl :args (@t407)) % 0.20/128.30 (step @p441 :rule nary_cong :premises (@p440 @p439) :args ((or @t407 (not @t406)))) % 0.20/128.30 (step @p442 :rule cnf_or_neg :args (@t407 0)) % 0.20/128.30 (step @p443 :rule eq_resolve :premises (@p442 @p441)) % 0.20/128.30 (step @p444 :rule reordering :premises (@p443) :args ((or @t405 @t407))) % 0.20/128.30 (step @p445 :rule cnf_or_neg :args (@t407 1)) % 0.20/128.30 (step @p446 :rule bool-double-not-elim :args (@t402)) % 0.20/128.30 (step @p447 :rule nary_cong :premises (@p440 @p446) :args ((or @t407 (not @t403)))) % 0.20/128.30 (step @p448 :rule cnf_or_neg :args (@t407 2)) % 0.20/128.30 (step @p449 :rule eq_resolve :premises (@p448 @p447)) % 0.20/128.30 (step @p450 :rule reordering :premises (@p449) :args ((or @t402 @t407))) % 0.20/128.30 (step @p451 :rule cnf_and_pos :args (@t388 1)) % 0.20/128.30 (step @p452 :rule reordering :premises (@p451) :args ((or @t387 (not @t388)))) % 0.20/128.30 (step @p453 :rule alpha_equiv :args (@t402 (@list @t105 @t142) (@list @t128 @t126))) % 0.20/128.30 (step @p454 :rule equiv_elim1 :premises (@p453)) % 0.20/128.30 (step @p455 :rule cnf_or_pos :args (@t416)) % 0.20/128.30 (step @p456 :rule reordering :premises (@p455) :args ((or @t404 @t415 (not @t416)))) % 0.20/128.30 (step @p457 :rule cnf_and_pos :args (@t417 1)) % 0.20/128.30 (step @p458 :rule reordering :premises (@p457) :args ((or @t416 (not @t417)))) % 0.20/128.30 (step @p459 :rule cnf_or_pos :args (@t418)) % 0.20/128.30 (step @p460 :rule reordering :premises (@p459) :args ((or @t406 @t417 (not @t418)))) % 0.20/128.30 (assume-push @p525 @t389) % 0.20/128.30 (step @p462 :rule instantiate :premises (@p525) :args ((@list @t401))) % 0.20/128.30 (step-pop @p526 :rule scope :premises (@p462)) % 0.20/128.30 (step @p463 :rule process_scope :premises (@p526) :args (@t418)) % 0.20/128.30 (step @p465 :rule implies_elim :premises (@p463)) % 0.20/128.30 (step @p466 :rule cnf_or_pos :args (@t392)) % 0.20/128.30 (step @p467 :rule reordering :premises (@p466) :args ((or @t391 @t389 @t388 @t386 (not @t392)))) % 0.20/128.30 (step @p468 :rule cnf_and_pos :args (@t386 0)) % 0.20/128.30 (step @p469 :rule reordering :premises (@p468) :args ((or @t385 @t419))) % 0.20/128.30 (step @p470 :rule cnf_and_pos :args (@t386 1)) % 0.20/128.30 (step @p471 :rule reordering :premises (@p470) :args ((or @t383 @t419))) % 0.20/128.30 (step @p472 :rule cnf_or_pos :args (@t400)) % 0.20/128.30 (step @p473 :rule reordering :premises (@p472) :args ((or @t391 @t384 @t399 (not @t400)))) % 0.20/128.30 (step @p474 :rule alpha_equiv :args (@t383 (@list @t96 @t94) (@list @t82 @t165))) % 0.20/128.30 (step @p475 :rule equiv_elim1 :premises (@p474)) % 0.20/128.30 (step @p476 :rule reordering :premises (@p475) :args ((or @t398 (not @t383)))) % 0.20/128.30 (step @p477 :rule chain_m_resolution :premises (@p476 @p473 @p471 @p469 @p467 @p465 @p460 @p458 @p456 @p454 @p452 @p450 @p445 @p444 @p438 @p434 @p425 @p424 @p418 @p413 @p404 @p398 @p397 @p396 @p384 @p379 @p374 @p373 @p367 @p358 @p357 @p355 @p354 @p347 @p342 @p340 @p336 @p334 @p32 @p31 @p25 @p20 @p11 @p5) :args (@t226 (@list true false true false true true true true false true false true false true true true false false true false true true false false false true false true true true false false true true true true false true false false true false true) (@list @t398 @t383 @t384 @t386 @t389 @t418 @t417 @t416 @t414 @t388 @t402 @t404 @t405 @t387 @t407 @t394 @t390 @t400 @t395 @t373 @t375 @t376 @t372 @t392 @t368 @t377 @t239 @t378 @t234 @t348 @t347 @t346 @t344 @t367 @t366 @t359 @t361 @t228 @t229 @t241 @t231 @t223 @t225))) % 0.20/128.30 (step @p478 :rule cnf_or_neg :args (@t355 0)) % 0.20/128.30 (step @p479 :rule chain_m_resolution :premises (@p478 @p326) :args ((not @t354) @t356 @t357)) % 0.20/128.30 (step @p480 :rule refl :args (@t420)) % 0.20/128.30 (step @p481 :rule bool-double-not-elim :args (@t352)) % 0.20/128.30 (step @p482 :rule refl :args (@t354)) % 0.20/128.30 (step @p483 :rule nary_cong :premises (@p482 @p481 @p480) :args ((or @t354 (not @t353) @t420))) % 0.20/128.30 (step @p484 :rule cnf_and_neg :args (@t354)) % 0.20/128.30 (step @p485 :rule eq_resolve :premises (@p484 @p483)) % 0.20/128.30 (step @p486 :rule reordering :premises (@p485) :args ((or @t352 @t354 @t420))) % 0.20/128.30 (step @p487 :rule chain_m_resolution :premises (@p486 @p479 @p477) :args (@t352 @t421 (@list @t354 @t226))) % 0.20/128.30 (step @p488 :rule alpha_equiv :args (@t352 @t300 @t287)) % 0.20/128.30 (step @p489 :rule equiv_elim1 :premises (@p488)) % 0.20/128.30 (step @p490 :rule chain_m_resolution :premises (@p489 @p487) :args (@t422 @t423 (@list @t352))) % 0.20/128.30 (step @p491 :rule cnf_or_neg :args (@t355 3)) % 0.20/128.30 (step @p492 :rule chain_m_resolution :premises (@p491 @p326) :args ((not @t351) @t356 @t357)) % 0.20/128.30 (step @p493 :rule bool-double-not-elim :args (@t349)) % 0.20/128.30 (step @p494 :rule refl :args (@t351)) % 0.20/128.30 (step @p495 :rule nary_cong :premises (@p494 @p493 @p480) :args ((or @t351 (not @t350) @t420))) % 0.20/128.30 (step @p496 :rule cnf_and_neg :args (@t351)) % 0.20/128.30 (step @p497 :rule eq_resolve :premises (@p496 @p495)) % 0.20/128.30 (step @p498 :rule reordering :premises (@p497) :args ((or @t349 @t351 @t420))) % 0.20/128.30 (step @p499 :rule chain_m_resolution :premises (@p498 @p492 @p477) :args (@t349 @t421 (@list @t351 @t226))) % 0.20/128.30 (assume-push @p527 @t349) % 0.20/128.30 (step @p501 :rule instantiate :premises (@p527) :args (@t221)) % 0.20/128.30 (step-pop @p528 :rule scope :premises (@p501)) % 0.20/128.30 (step @p502 :rule process_scope :premises (@p528) :args (@t427)) % 0.20/128.30 (step @p504 :rule implies_elim :premises (@p502)) % 0.20/128.30 (step @p505 :rule chain_m_resolution :premises (@p504 @p499) :args (@t427 @t423 (@list @t349))) % 0.20/128.30 (step @p506 :rule cnf_or_pos :args (@t427)) % 0.20/128.30 (step @p507 :rule reordering :premises (@p506) :args ((or @t426 @t424 (not @t427)))) % 0.20/128.30 (step @p508 false :rule chain_m_resolution :premises (@p507 @p505 @p490 @p4) :args (false (@list false false false) (@list @t427 @t422 @t425))) % 0.20/128.30 ) % 0.20/128.30 % SZS output end Proof % 0.20/128.30 % cvc5 exiting %------------------------------------------------------------------------------