%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX202+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:07:21 AM UTC 2026 % Result : Theorem 159.48s 159.74s % Output : Proof 159.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWX202+1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 23:06:01 EDT 2026 % 0.18/0.36 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 159.48/159.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 159.48/159.74 --- Run --no-e-matching --full-saturate-quant at 6... % 159.48/159.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 159.48/159.74 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 159.48/159.74 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 159.48/159.74 --- Run --trigger-sel=max --full-saturate-quant at 15... % 159.48/159.74 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 159.48/159.74 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 159.48/159.74 --- Run --prenex-quant=none --full-saturate-quant at 30... % 159.48/159.74 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 159.48/159.74 % SZS status Theorem % 159.48/159.74 % SZS output start Proof % 159.48/159.74 ( % 159.48/159.74 (declare-sort $$unsorted 0) % 159.48/159.74 (declare-const tptp.msort (-> $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.div2 (-> $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.lengthNat (-> $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.count (-> $$unsorted $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.proj1pair (-> $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.nil $$unsorted) % 159.48/159.74 (declare-const tptp.proj1S (-> $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.merge (-> $$unsorted $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.pair2 (-> $$unsorted $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.z $$unsorted) % 159.48/159.74 (declare-const tptp.proj2pair (-> $$unsorted $$unsorted)) % 159.48/159.74 (declare-const tptp.leqNat (-> $$unsorted $$unsorted Bool)) % 159.48/159.74 (declare-const tptp.splitAtNat (-> $$unsorted $$unsorted $$unsorted)) % 159.48/159.74 (define @t1 () (@var "X" $$unsorted)) % 159.48/159.74 (define @t2 () (@var "X2" $$unsorted)) % 159.48/159.74 (define @t3 () (tptp.pair2 @t1 @t2)) % 159.48/159.74 (define @t4 () (@list @t1 @t2)) % 159.48/159.74 (define @t5 () (tptp.cons @t1 @t2)) % 159.48/159.74 (define @t6 () (tptp.s @t1)) % 159.48/159.74 (define @t7 () (@list @t1)) % 159.48/159.74 (define @t8 () (not (= tptp.z @t6))) % 159.48/159.74 (define @t9 () (forall @t7 @t8)) % 159.48/159.74 (define @t10 () (@var "Y" $$unsorted)) % 159.48/159.74 (define @t11 () (tptp.pair2 tptp.nil @t10)) % 159.48/159.74 (define @t12 () (tptp.splitAtNat tptp.z @t10)) % 159.48/159.74 (define @t13 () (= @t12 @t11)) % 159.48/159.74 (define @t14 () (@list @t10)) % 159.48/159.74 (define @t15 () (forall @t14 @t13)) % 159.48/159.74 (define @t16 () (@var "Z" $$unsorted)) % 159.48/159.74 (define @t17 () (tptp.s @t16)) % 159.48/159.74 (define @t18 () (@list @t16)) % 159.48/159.74 (define @t19 () (@var "Zs" $$unsorted)) % 159.48/159.74 (define @t20 () (@var "Ys1" $$unsorted)) % 159.48/159.74 (define @t21 () (@var "X3" $$unsorted)) % 159.48/159.74 (define @t22 () (tptp.cons @t2 @t21)) % 159.48/159.74 (define @t23 () (= (tptp.splitAtNat @t17 @t22) (tptp.pair2 (tptp.cons @t2 @t20) @t19))) % 159.48/159.74 (define @t24 () (tptp.pair2 @t20 @t19)) % 159.48/159.74 (define @t25 () (= (tptp.splitAtNat @t16 @t21) @t24)) % 159.48/159.74 (define @t26 () (@list @t16 @t2 @t21 @t20 @t19)) % 159.48/159.74 (define @t27 () (forall @t26 (=> @t25 @t23))) % 159.48/159.74 (define @t28 () (tptp.leqNat tptp.z @t10)) % 159.48/159.74 (define @t29 () (forall @t14 @t28)) % 159.48/159.74 (define @t30 () (tptp.leqNat @t17 tptp.z)) % 159.48/159.74 (define @t31 () (not @t30)) % 159.48/159.74 (define @t32 () (forall @t18 @t31)) % 159.48/159.74 (define @t33 () (@var "M" $$unsorted)) % 159.48/159.74 (define @t34 () (forall (@list @t16 @t33) (= (tptp.leqNat @t17 (tptp.s @t33)) (tptp.leqNat @t16 @t33)))) % 159.48/159.74 (define @t35 () (tptp.merge tptp.nil @t10)) % 159.48/159.74 (define @t36 () (forall @t14 (= @t35 @t10))) % 159.48/159.74 (define @t37 () (@var "Xs" $$unsorted)) % 159.48/159.74 (define @t38 () (tptp.cons @t16 @t37)) % 159.48/159.74 (define @t39 () (tptp.merge @t38 tptp.nil)) % 159.48/159.74 (define @t40 () (@list @t16 @t37)) % 159.48/159.74 (define @t41 () (forall @t40 (= @t39 @t38))) % 159.48/159.74 (define @t42 () (@var "Ys" $$unsorted)) % 159.48/159.74 (define @t43 () (@var "Y2" $$unsorted)) % 159.48/159.74 (define @t44 () (tptp.cons @t43 @t42)) % 159.48/159.74 (define @t45 () (tptp.merge @t38 @t44)) % 159.48/159.74 (define @t46 () (= @t45 (tptp.cons @t16 (tptp.merge @t37 @t44)))) % 159.48/159.74 (define @t47 () (tptp.leqNat @t16 @t43)) % 159.48/159.74 (define @t48 () (@list @t16 @t37 @t43 @t42)) % 159.48/159.74 (define @t49 () (forall @t48 (=> @t47 @t46))) % 159.48/159.74 (define @t50 () (tptp.lengthNat tptp.nil)) % 159.48/159.74 (define @t51 () (forall (@list @t10 @t37) (= (tptp.lengthNat (tptp.cons @t10 @t37)) (tptp.s (tptp.lengthNat @t37))))) % 159.48/159.74 (define @t52 () (tptp.div2 tptp.z)) % 159.48/159.74 (define @t53 () (tptp.s tptp.z)) % 159.48/159.74 (define @t54 () (tptp.div2 @t53)) % 159.48/159.74 (define @t55 () (@var "N" $$unsorted)) % 159.48/159.74 (define @t56 () (tptp.cons @t10 tptp.nil)) % 159.48/159.74 (define @t57 () (tptp.msort @t56)) % 159.48/159.74 (define @t58 () (forall @t14 (= @t57 @t56))) % 159.48/159.74 (define @t59 () (tptp.cons @t10 @t22)) % 159.48/159.74 (define @t60 () (= (tptp.msort @t59) (tptp.merge (tptp.msort @t20) (tptp.msort @t19)))) % 159.48/159.74 (define @t61 () (tptp.splitAtNat (tptp.div2 (tptp.lengthNat @t59)) @t59)) % 159.48/159.74 (define @t62 () (=> (= @t61 @t24) @t60)) % 159.48/159.74 (define @t63 () (@list @t10 @t2 @t21 @t20 @t19)) % 159.48/159.74 (define @t64 () (forall @t63 @t62)) % 159.48/159.74 (define @t65 () (tptp.count @t1 tptp.nil)) % 159.48/159.74 (define @t66 () (forall @t7 (= @t65 tptp.z))) % 159.48/159.74 (define @t67 () (tptp.count @t1 @t37)) % 159.48/159.74 (define @t68 () (tptp.count @t1 @t38)) % 159.48/159.74 (define @t69 () (= @t68 (tptp.s @t67))) % 159.48/159.74 (define @t70 () (= @t16 @t1)) % 159.48/159.74 (define @t71 () (=> @t70 @t69)) % 159.48/159.74 (define @t72 () (@list @t1 @t16 @t37)) % 159.48/159.74 (define @t73 () (forall @t72 @t71)) % 159.48/159.74 (define @t74 () (= @t68 @t67)) % 159.48/159.74 (define @t75 () (not @t70)) % 159.48/159.74 (define @t76 () (=> @t75 @t74)) % 159.48/159.74 (define @t77 () (forall @t72 @t76)) % 159.48/159.74 (define @t78 () (= (tptp.count @t6 @t37) (tptp.count @t1 (tptp.msort @t37)))) % 159.48/159.74 (define @t79 () (tptp.s @t53)) % 159.48/159.74 (define @t80 () (tptp.s @t79)) % 159.48/159.74 (define @t81 () (tptp.s @t80)) % 159.48/159.74 (define @t82 () (tptp.s @t81)) % 159.48/159.74 (define @t83 () (tptp.leqNat @t67 @t82)) % 159.48/159.74 (define @t84 () (not @t83)) % 159.48/159.74 (define @t85 () (=> @t84 @t78)) % 159.48/159.74 (define @t86 () (not @t85)) % 159.48/159.74 (define @t87 () (@list @t37 @t1)) % 159.48/159.74 (define @t88 () (exists @t87 @t86)) % 159.48/159.74 (define @t89 () (not @t88)) % 159.48/159.74 (define @t90 () (@list @t50)) % 159.48/159.74 (define @t91 () (= tptp.z @t65)) % 159.48/159.74 (define @t92 () (= (tptp.count @t16 @t38) (tptp.s (tptp.count @t16 @t37)))) % 159.48/159.74 (define @t93 () (not (= @t16 @t16))) % 159.48/159.74 (define @t94 () (or @t93 @t92)) % 159.48/159.74 (define @t95 () (= @t1 @t16)) % 159.48/159.74 (define @t96 () (not @t95)) % 159.48/159.74 (define @t97 () (or @t96 @t96 @t69)) % 159.48/159.74 (define @t98 () (or @t96 @t69)) % 159.48/159.74 (define @t99 () (forall @t7 @t98)) % 159.48/159.74 (define @t100 () (forall @t40 @t99)) % 159.48/159.74 (define @t101 () (forall (@list @t16 @t37 @t1) @t98)) % 159.48/159.74 (define @t102 () (@list @t50 tptp.nil)) % 159.48/159.74 (define @t103 () (tptp.cons @t50 tptp.nil)) % 159.48/159.74 (define @t104 () (tptp.merge tptp.nil @t103)) % 159.48/159.74 (define @t105 () (tptp.cons @t50 @t104)) % 159.48/159.74 (define @t106 () (= (tptp.merge @t103 @t103) @t105)) % 159.48/159.74 (define @t107 () (tptp.leqNat @t50 @t50)) % 159.48/159.74 (define @t108 () (not @t107)) % 159.48/159.74 (define @t109 () (or @t108 @t106)) % 159.48/159.74 (define @t110 () (@list false false)) % 159.48/159.74 (define @t111 () (tptp.s @t50)) % 159.48/159.74 (define @t112 () (@list @t111)) % 159.48/159.74 (define @t113 () (@list @t103)) % 159.48/159.74 (define @t114 () (tptp.cons @t50 @t103)) % 159.48/159.74 (define @t115 () (@list @t114)) % 159.48/159.74 (define @t116 () (= @t6 tptp.z)) % 159.48/159.74 (define @t117 () (not @t116)) % 159.48/159.74 (define @t118 () (tptp.s @t111)) % 159.48/159.74 (define @t119 () (tptp.s @t118)) % 159.48/159.74 (define @t120 () (tptp.s @t119)) % 159.48/159.74 (define @t121 () (tptp.s @t120)) % 159.48/159.74 (define @t122 () (tptp.s @t121)) % 159.48/159.74 (define @t123 () (not (= @t122 @t50))) % 159.48/159.74 (define @t124 () (forall @t7 (not (= @t6 @t50)))) % 159.48/159.74 (define @t125 () (= @t50 @t122)) % 159.48/159.74 (define @t126 () (@list false)) % 159.48/159.74 (define @t127 () (@list @t124)) % 159.48/159.74 (define @t128 () (tptp.merge tptp.nil @t114)) % 159.48/159.74 (define @t129 () (tptp.cons @t50 @t128)) % 159.48/159.74 (define @t130 () (tptp.merge @t103 @t114)) % 159.48/159.74 (define @t131 () (= @t130 @t129)) % 159.48/159.74 (define @t132 () (or @t108 @t131)) % 159.48/159.74 (define @t133 () (tptp.count @t111 @t103)) % 159.48/159.74 (define @t134 () (tptp.count @t111 tptp.nil)) % 159.48/159.74 (define @t135 () (= @t111 @t50)) % 159.48/159.74 (define @t136 () (or @t135 (= @t133 @t134))) % 159.48/159.74 (define @t137 () (forall @t72 (or @t95 @t74))) % 159.48/159.74 (define @t138 () (= @t134 @t133)) % 159.48/159.74 (define @t139 () (= @t50 @t111)) % 159.48/159.74 (define @t140 () (or @t139 @t138)) % 159.48/159.74 (define @t141 () (@list @t137)) % 159.48/159.74 (define @t142 () (not @t135)) % 159.48/159.74 (define @t143 () (@list true false)) % 159.48/159.74 (define @t144 () (= @t24 @t61)) % 159.48/159.74 (define @t145 () (tptp.msort @t103)) % 159.48/159.74 (define @t146 () (tptp.merge @t145 @t145)) % 159.48/159.74 (define @t147 () (tptp.msort @t114)) % 159.48/159.74 (define @t148 () (= @t147 @t146)) % 159.48/159.74 (define @t149 () (tptp.pair2 @t103 @t103)) % 159.48/159.74 (define @t150 () (tptp.lengthNat @t114)) % 159.48/159.74 (define @t151 () (tptp.div2 @t150)) % 159.48/159.74 (define @t152 () (tptp.splitAtNat @t151 @t114)) % 159.48/159.74 (define @t153 () (not (= @t149 @t152))) % 159.48/159.74 (define @t154 () (or @t153 @t148)) % 159.48/159.74 (define @t155 () (forall @t63 (or (not @t144) @t60))) % 159.48/159.74 (define @t156 () (= @t152 @t149)) % 159.48/159.74 (define @t157 () (not @t156)) % 159.48/159.74 (define @t158 () (or @t157 @t148)) % 159.48/159.74 (define @t159 () (@list @t155)) % 159.48/159.74 (define @t160 () (tptp.splitAtNat @t111 @t114)) % 159.48/159.74 (define @t161 () (tptp.splitAtNat @t50 @t103)) % 159.48/159.74 (define @t162 () (tptp.pair2 tptp.nil @t103)) % 159.48/159.74 (define @t163 () (not (= @t161 @t162))) % 159.48/159.74 (define @t164 () (or @t163 (= @t160 @t149))) % 159.48/159.74 (define @t165 () (forall @t26 (or (not @t25) @t23))) % 159.48/159.74 (define @t166 () (= @t149 @t160)) % 159.48/159.74 (define @t167 () (= @t162 @t161)) % 159.48/159.74 (define @t168 () (not @t167)) % 159.48/159.74 (define @t169 () (or @t168 @t166)) % 159.48/159.74 (define @t170 () (@list @t165)) % 159.48/159.74 (define @t171 () (tptp.splitAtNat @t50 @t10)) % 159.48/159.74 (define @t172 () (tptp.merge @t103 tptp.nil)) % 159.48/159.74 (define @t173 () (tptp.lengthNat @t172)) % 159.48/159.74 (define @t174 () (@list @t50 @t128)) % 159.48/159.74 (define @t175 () (tptp.count @t111 @t105)) % 159.48/159.74 (define @t176 () (= @t175 (tptp.count @t111 @t104))) % 159.48/159.74 (define @t177 () (or @t135 @t176)) % 159.48/159.74 (define @t178 () (or @t139 @t176)) % 159.48/159.74 (define @t179 () (tptp.cons @t50 @t114)) % 159.48/159.74 (define @t180 () (@list @t179)) % 159.48/159.74 (define @t181 () (tptp.merge @t145 @t147)) % 159.48/159.74 (define @t182 () (tptp.cons @t50 @t105)) % 159.48/159.74 (define @t183 () (= (tptp.msort @t182) @t181)) % 159.48/159.74 (define @t184 () (tptp.pair2 @t103 @t114)) % 159.48/159.74 (define @t185 () (tptp.lengthNat @t182)) % 159.48/159.74 (define @t186 () (tptp.div2 @t185)) % 159.48/159.74 (define @t187 () (tptp.splitAtNat @t186 @t182)) % 159.48/159.74 (define @t188 () (not (= @t184 @t187))) % 159.48/159.74 (define @t189 () (or @t188 @t183)) % 159.48/159.74 (define @t190 () (= @t187 @t184)) % 159.48/159.74 (define @t191 () (not @t190)) % 159.48/159.74 (define @t192 () (or @t191 @t183)) % 159.48/159.74 (define @t193 () (tptp.splitAtNat @t111 @t179)) % 159.48/159.74 (define @t194 () (tptp.splitAtNat @t50 @t114)) % 159.48/159.74 (define @t195 () (tptp.pair2 tptp.nil @t114)) % 159.48/159.74 (define @t196 () (not (= @t194 @t195))) % 159.48/159.74 (define @t197 () (or @t196 (= @t193 @t184))) % 159.48/159.74 (define @t198 () (= @t184 @t193)) % 159.48/159.74 (define @t199 () (= @t195 @t194)) % 159.48/159.74 (define @t200 () (not @t199)) % 159.48/159.74 (define @t201 () (or @t200 @t198)) % 159.48/159.74 (define @t202 () (tptp.lengthNat @t128)) % 159.48/159.74 (define @t203 () (tptp.lengthNat @t179)) % 159.48/159.74 (define @t204 () (tptp.cons @t50 @t179)) % 159.48/159.74 (define @t205 () (@list @t50 @t204)) % 159.48/159.74 (define @t206 () (tptp.merge tptp.nil @t129)) % 159.48/159.74 (define @t207 () (tptp.cons @t50 @t206)) % 159.48/159.74 (define @t208 () (tptp.merge @t103 @t129)) % 159.48/159.74 (define @t209 () (= @t208 @t207)) % 159.48/159.74 (define @t210 () (or @t108 @t209)) % 159.48/159.74 (define @t211 () (tptp.cons @t50 @t130)) % 159.48/159.74 (define @t212 () (tptp.count @t111 @t211)) % 159.48/159.74 (define @t213 () (= @t212 (tptp.count @t111 @t130))) % 159.48/159.74 (define @t214 () (or @t135 @t213)) % 159.48/159.74 (define @t215 () (or @t139 @t213)) % 159.48/159.74 (define @t216 () (tptp.count @t111 @t129)) % 159.48/159.74 (define @t217 () (= @t216 (tptp.count @t111 @t128))) % 159.48/159.74 (define @t218 () (or @t135 @t217)) % 159.48/159.74 (define @t219 () (or @t139 @t217)) % 159.48/159.74 (define @t220 () (tptp.cons @t50 @t204)) % 159.48/159.74 (define @t221 () (@list @t50 @t220)) % 159.48/159.74 (define @t222 () (tptp.cons @t50 @t208)) % 159.48/159.74 (define @t223 () (tptp.merge @t114 @t129)) % 159.48/159.74 (define @t224 () (= @t223 @t222)) % 159.48/159.74 (define @t225 () (or @t108 @t224)) % 159.48/159.74 (define @t226 () (tptp.cons @t50 @t223)) % 159.48/159.74 (define @t227 () (= (tptp.merge @t179 @t129) @t226)) % 159.48/159.74 (define @t228 () (or @t108 @t227)) % 159.48/159.74 (define @t229 () (or @t83 @t78)) % 159.48/159.74 (define @t230 () (forall @t87 @t229)) % 159.48/159.74 (define @t231 () (forall @t87 (not @t86))) % 159.48/159.74 (define @t232 () (not @t231)) % 159.48/159.74 (define @t233 () (tptp.cons @t50 @t220)) % 159.48/159.74 (define @t234 () (tptp.leqNat @t120 @t119)) % 159.48/159.74 (define @t235 () (tptp.leqNat @t119 @t118)) % 159.48/159.74 (define @t236 () (= @t234 @t235)) % 159.48/159.74 (define @t237 () (= @t235 @t234)) % 159.48/159.74 (define @t238 () (@list @t34)) % 159.48/159.74 (define @t239 () (tptp.leqNat @t118 @t111)) % 159.48/159.74 (define @t240 () (= @t235 @t239)) % 159.48/159.74 (define @t241 () (= @t239 @t235)) % 159.48/159.74 (define @t242 () (tptp.leqNat @t111 @t50)) % 159.48/159.74 (define @t243 () (= @t239 @t242)) % 159.48/159.74 (define @t244 () (= @t242 @t239)) % 159.48/159.74 (define @t245 () (not @t239)) % 159.48/159.74 (define @t246 () (not @t235)) % 159.48/159.74 (define @t247 () (not @t234)) % 159.48/159.74 (define @t248 () (tptp.leqNat @t121 @t120)) % 159.48/159.74 (define @t249 () (= @t248 @t234)) % 159.48/159.74 (define @t250 () (not @t248)) % 159.48/159.74 (define @t251 () (tptp.leqNat @t122 @t121)) % 159.48/159.74 (define @t252 () (= @t251 @t248)) % 159.48/159.74 (define @t253 () (not @t251)) % 159.48/159.74 (define @t254 () (tptp.count @t50 tptp.nil)) % 159.48/159.74 (define @t255 () (tptp.s @t254)) % 159.48/159.74 (define @t256 () (tptp.count @t50 @t104)) % 159.48/159.74 (define @t257 () (tptp.s @t256)) % 159.48/159.74 (define @t258 () (tptp.count @t50 @t128)) % 159.48/159.74 (define @t259 () (tptp.s @t258)) % 159.48/159.74 (define @t260 () (tptp.count @t50 @t179)) % 159.48/159.74 (define @t261 () (tptp.s @t260)) % 159.48/159.74 (define @t262 () (tptp.count @t50 @t204)) % 159.48/159.74 (define @t263 () (tptp.s @t262)) % 159.48/159.74 (define @t264 () (tptp.count @t50 @t220)) % 159.48/159.74 (define @t265 () (tptp.s @t264)) % 159.48/159.74 (define @t266 () (tptp.count @t50 @t233)) % 159.48/159.74 (define @t267 () (tptp.leqNat @t266 @t121)) % 159.48/159.74 (define @t268 () (tptp.msort @t233)) % 159.48/159.74 (define @t269 () (tptp.count @t50 @t268)) % 159.48/159.74 (define @t270 () (tptp.count @t111 @t233)) % 159.48/159.74 (define @t271 () (= @t270 @t269)) % 159.48/159.74 (define @t272 () (or @t267 @t271)) % 159.48/159.74 (define @t273 () (tptp.count @t111 @t220)) % 159.48/159.74 (define @t274 () (= @t270 @t273)) % 159.48/159.74 (define @t275 () (or @t135 @t274)) % 159.48/159.74 (define @t276 () (or @t139 @t274)) % 159.48/159.74 (define @t277 () (tptp.count @t111 @t204)) % 159.48/159.74 (define @t278 () (or @t135 (= @t273 @t277))) % 159.48/159.74 (define @t279 () (= @t277 @t273)) % 159.48/159.74 (define @t280 () (or @t139 @t279)) % 159.48/159.74 (define @t281 () (tptp.msort @t179)) % 159.48/159.74 (define @t282 () (tptp.merge @t281 @t281)) % 159.48/159.74 (define @t283 () (= @t268 @t282)) % 159.48/159.74 (define @t284 () (tptp.pair2 @t179 @t179)) % 159.48/159.74 (define @t285 () (tptp.div2 (tptp.lengthNat @t233))) % 159.48/159.74 (define @t286 () (tptp.splitAtNat @t285 @t233)) % 159.48/159.74 (define @t287 () (not (= @t284 @t286))) % 159.48/159.74 (define @t288 () (or @t287 @t283)) % 159.48/159.74 (define @t289 () (= @t286 @t284)) % 159.48/159.74 (define @t290 () (not @t289)) % 159.48/159.74 (define @t291 () (or @t290 @t283)) % 159.48/159.74 (define @t292 () (tptp.cons @t50 @t211)) % 159.48/159.74 (define @t293 () (tptp.lengthNat @t292)) % 159.48/159.74 (define @t294 () (tptp.div2 @t293)) % 159.48/159.74 (define @t295 () (tptp.splitAtNat (tptp.s @t294) (tptp.cons @t50 @t292))) % 159.48/159.74 (define @t296 () (tptp.pair2 @t114 @t179)) % 159.48/159.74 (define @t297 () (tptp.splitAtNat @t294 @t292)) % 159.48/159.74 (define @t298 () (= @t297 @t296)) % 159.48/159.74 (define @t299 () (not @t298)) % 159.48/159.74 (define @t300 () (or @t299 (= @t295 @t284))) % 159.48/159.74 (define @t301 () (= @t284 @t295)) % 159.48/159.74 (define @t302 () (or @t299 @t301)) % 159.48/159.74 (define @t303 () (= (tptp.splitAtNat @t111 @t204) (tptp.pair2 @t103 @t179))) % 159.48/159.74 (define @t304 () (tptp.splitAtNat @t50 @t179)) % 159.48/159.74 (define @t305 () (tptp.pair2 tptp.nil @t179)) % 159.48/159.74 (define @t306 () (not (= @t304 @t305))) % 159.48/159.74 (define @t307 () (or @t306 @t303)) % 159.48/159.74 (define @t308 () (= @t305 @t304)) % 159.48/159.74 (define @t309 () (not @t308)) % 159.48/159.74 (define @t310 () (or @t309 @t303)) % 159.48/159.74 (define @t311 () (= (tptp.splitAtNat @t118 @t220) @t296)) % 159.48/159.74 (define @t312 () (not @t303)) % 159.48/159.74 (define @t313 () (or @t312 @t311)) % 159.48/159.74 (define @t314 () (tptp.lengthNat @t130)) % 159.48/159.74 (define @t315 () (tptp.lengthNat @t204)) % 159.48/159.74 (define @t316 () (tptp.lengthNat @t220)) % 159.48/159.74 (define @t317 () (tptp.cons @t50 @t172)) % 159.48/159.74 (define @t318 () (tptp.lengthNat @t103)) % 159.48/159.74 (define @t319 () (= @t318 @t111)) % 159.48/159.74 (define @t320 () (= @t103 @t145)) % 159.48/159.74 (define @t321 () (= @t50 @t254)) % 159.48/159.74 (define @t322 () (= (tptp.count @t50 @t103) @t255)) % 159.48/159.74 (define @t323 () (= @t50 @t134)) % 159.48/159.74 (define @t324 () (= @t103 @t104)) % 159.48/159.74 (define @t325 () (= (tptp.count @t50 @t105) @t257)) % 159.48/159.74 (define @t326 () (= @t114 @t128)) % 159.48/159.74 (define @t327 () (= (tptp.count @t50 @t129) @t259)) % 159.48/159.74 (define @t328 () (= @t262 @t261)) % 159.48/159.74 (define @t329 () (= @t179 (tptp.merge tptp.nil @t179))) % 159.48/159.74 (define @t330 () (= @t264 @t263)) % 159.48/159.74 (define @t331 () (= @t266 @t265)) % 159.48/159.74 (define @t332 () (and @t106 @t320 @t321 @t322 @t323 @t324 @t325 @t326 @t131 @t138 @t148 @t327 @t176 @t328 @t329 @t183 @t209 @t330 @t213 @t217 @t224 @t331 @t227 @t271 @t274 @t279 @t283)) % 159.48/159.74 (assume @p1 (forall @t4 (= (tptp.proj1pair @t3) @t1))) % 159.48/159.74 (assume @p2 (forall @t4 (= (tptp.proj2pair @t3) @t2))) % 159.48/159.74 (assume @p3 (forall @t4 (= (tptp.head @t5) @t1))) % 159.48/159.74 (assume @p4 (forall @t4 (= (tptp.tail @t5) @t2))) % 159.48/159.74 (assume @p5 (forall @t4 (not (= tptp.nil @t5)))) % 159.48/159.74 (assume @p6 (forall @t7 (= (tptp.proj1S @t6) @t1))) % 159.48/159.74 (assume @p7 @t9) % 159.48/159.74 (assume @p8 @t15) % 159.48/159.74 (assume @p9 (forall @t18 (= (tptp.splitAtNat @t17 tptp.nil) (tptp.pair2 tptp.nil tptp.nil)))) % 159.48/159.74 (assume @p10 @t27) % 159.48/159.74 (assume @p11 @t29) % 159.48/159.74 (assume @p12 @t32) % 159.48/159.74 (assume @p13 @t34) % 159.48/159.74 (assume @p14 @t36) % 159.48/159.74 (assume @p15 @t41) % 159.48/159.74 (assume @p16 @t49) % 159.48/159.74 (assume @p17 (forall @t48 (=> (not @t47) (= @t45 (tptp.cons @t43 (tptp.merge @t38 @t42)))))) % 159.48/159.74 (assume @p18 (= @t50 tptp.z)) % 159.48/159.74 (assume @p19 @t51) % 159.48/159.74 (assume @p20 (= @t52 tptp.z)) % 159.48/159.74 (assume @p21 (= @t54 tptp.z)) % 159.48/159.74 (assume @p22 (forall (@list @t55) (= (tptp.div2 (tptp.s (tptp.s @t55))) (tptp.s (tptp.div2 @t55))))) % 159.48/159.74 (assume @p23 (= (tptp.msort tptp.nil) tptp.nil)) % 159.48/159.74 (assume @p24 @t58) % 159.48/159.74 (assume @p25 @t64) % 159.48/159.74 (assume @p26 @t66) % 159.48/159.74 (assume @p27 @t73) % 159.48/159.74 (assume @p28 @t77) % 159.48/159.74 (assume @p29 @t89) % 159.48/159.74 (assume @p30 true) % 159.48/159.74 (step @p31 :rule eq-symm :args (@t57 @t56)) % 159.48/159.74 (step @p32 :rule cong :premises (@p31) :args (@t58)) % 159.48/159.74 (step @p33 :rule eq_resolve :premises (@p24 @p32)) % 159.48/159.74 (step @p34 :rule instantiate :premises (@p33) :args (@t90)) % 159.48/159.74 (step @p35 :rule refl :args (@t65)) % 159.48/159.74 (step @p36 :rule symm :premises (@p18)) % 159.48/159.74 (step @p37 :rule cong :premises (@p36 @p35) :args (@t91)) % 159.48/159.74 (step @p38 :rule cong :premises (@p37) :args ((forall @t7 @t91))) % 159.48/159.74 (step @p39 :rule eq-symm :args (@t65 tptp.z)) % 159.48/159.74 (step @p40 :rule cong :premises (@p39) :args (@t66)) % 159.48/159.74 (step @p41 :rule trans :premises (@p40 @p38)) % 159.48/159.74 (step @p42 :rule eq_resolve :premises (@p26 @p41)) % 159.48/159.74 (step @p43 :rule instantiate :premises (@p42) :args (@t90)) % 159.48/159.74 (step @p44 :rule aci_norm :args ((= (or false @t92) @t92))) % 159.48/159.74 (step @p45 :rule refl :args (@t92)) % 159.48/159.74 (step @p46 :rule evaluate :args ((not true))) % 159.48/159.74 (step @p47 :rule eq-refl :args (@t16)) % 159.48/159.74 (step @p48 :rule cong :premises (@p47) :args (@t93)) % 159.48/159.74 (step @p49 :rule trans :premises (@p48 @p46)) % 159.48/159.74 (step @p50 :rule nary_cong :premises (@p49 @p45) :args (@t94)) % 159.48/159.74 (step @p51 :rule trans :premises (@p50 @p44)) % 159.48/159.74 (step @p52 :rule cong :premises (@p51) :args ((forall @t40 @t94))) % 159.48/159.74 (step @p53 :rule quant-var-elim-eq :args ((= (forall @t7 @t97) @t94))) % 159.48/159.74 (step @p54 :rule aci_norm :args ((= @t98 @t97))) % 159.48/159.74 (step @p55 :rule cong :premises (@p54) :args (@t99)) % 159.48/159.74 (step @p56 :rule trans :premises (@p55 @p53)) % 159.48/159.74 (step @p57 :rule cong :premises (@p56) :args (@t100)) % 159.48/159.74 (step @p58 :rule quant-merge-prenex :args ((= @t100 @t101))) % 159.48/159.74 (step @p59 :rule symm :premises (@p58)) % 159.48/159.74 (step @p60 :rule quant_var_reordering :args ((= (forall @t72 @t98) @t101))) % 159.48/159.74 (step @p61 :rule trans :premises (@p60 @p59 @p57)) % 159.48/159.74 (step @p62 :rule trans :premises (@p61 @p52)) % 159.48/159.74 (step @p63 :rule bool-impl-elim :args (@t95 @t69)) % 159.48/159.74 (step @p64 :rule cong :premises (@p63) :args ((forall @t72 (=> @t95 @t69)))) % 159.48/159.74 (step @p65 :rule trans :premises (@p64 @p62)) % 159.48/159.74 (step @p66 :rule refl :args (@t69)) % 159.48/159.74 (step @p67 :rule eq-symm :args (@t16 @t1)) % 159.48/159.74 (step @p68 :rule cong :premises (@p67 @p66) :args (@t71)) % 159.48/159.74 (step @p69 :rule cong :premises (@p68) :args (@t73)) % 159.48/159.74 (step @p70 :rule trans :premises (@p69 @p65)) % 159.48/159.74 (step @p71 :rule eq_resolve :premises (@p27 @p70)) % 159.48/159.74 (step @p72 :rule instantiate :premises (@p71) :args (@t102)) % 159.48/159.74 (step @p73 :rule bool-impl-elim :args (@t47 @t46)) % 159.48/159.74 (step @p74 :rule cong :premises (@p73) :args (@t49)) % 159.48/159.74 (step @p75 :rule eq_resolve :premises (@p16 @p74)) % 159.48/159.74 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t50 tptp.nil @t50 tptp.nil))) % 159.48/159.74 (step @p77 :rule refl :args (@t10)) % 159.48/159.74 (step @p78 :rule cong :premises (@p36 @p77) :args (@t28)) % 159.48/159.74 (step @p79 :rule cong :premises (@p78) :args (@t29)) % 159.48/159.74 (step @p80 :rule eq_resolve :premises (@p11 @p79)) % 159.48/159.74 (step @p81 :rule instantiate :premises (@p80) :args (@t90)) % 159.48/159.74 (step @p82 :rule cnf_or_pos :args (@t109)) % 159.48/159.74 (step @p83 :rule reordering :premises (@p82) :args ((or @t108 @t106 (not @t109)))) % 159.48/159.74 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p76) :args (@t106 @t110 (@list @t107 @t109))) % 159.48/159.74 (step @p85 :rule instantiate :premises (@p42) :args (@t112)) % 159.48/159.74 (step @p86 :rule eq-symm :args (@t35 @t10)) % 159.48/159.74 (step @p87 :rule cong :premises (@p86) :args (@t36)) % 159.48/159.74 (step @p88 :rule eq_resolve :premises (@p14 @p87)) % 159.48/159.74 (step @p89 :rule instantiate :premises (@p88) :args (@t113)) % 159.48/159.74 (step @p90 :rule instantiate :premises (@p71) :args ((@list @t50 @t104))) % 159.48/159.74 (step @p91 :rule instantiate :premises (@p88) :args (@t115)) % 159.48/159.74 (step @p92 :rule refl :args (@t6)) % 159.48/159.74 (step @p93 :rule cong :premises (@p92 @p36) :args (@t116)) % 159.48/159.74 (step @p94 :rule cong :premises (@p93) :args (@t117)) % 159.48/159.74 (step @p95 :rule cong :premises (@p94) :args ((forall @t7 @t117))) % 159.48/159.74 (step @p96 :rule eq-symm :args (tptp.z @t6)) % 159.48/159.74 (step @p97 :rule cong :premises (@p96) :args (@t8)) % 159.48/159.74 (step @p98 :rule cong :premises (@p97) :args (@t9)) % 159.48/159.74 (step @p99 :rule trans :premises (@p98 @p95)) % 159.48/159.74 (step @p100 :rule eq_resolve :premises (@p7 @p99)) % 159.48/159.74 (step @p101 :rule eq-symm :args (@t122 @t50)) % 159.48/159.74 (step @p102 :rule cong :premises (@p101) :args (@t123)) % 159.48/159.74 (step @p103 :rule refl :args (@t124)) % 159.48/159.74 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t124 @t123))) % 159.48/159.74 (assume-push @p703 @t124) % 159.48/159.74 (step @p106 :rule instantiate :premises (@p100) :args ((@list @t121))) % 159.48/159.74 (step-pop @p704 :rule scope :premises (@p106)) % 159.48/159.74 (step @p107 :rule process_scope :premises (@p704) :args (@t123)) % 159.48/159.74 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 159.48/159.74 (step @p110 :rule implies_elim :premises (@p109)) % 159.48/159.74 (step @p111 :rule chain_m_resolution :premises (@p110 @p100) :args ((not @t125) @t126 @t127)) % 159.48/159.74 (step @p112 :rule instantiate :premises (@p75) :args ((@list @t50 tptp.nil @t50 @t103))) % 159.48/159.74 (step @p113 :rule cnf_or_pos :args (@t132)) % 159.48/159.74 (step @p114 :rule reordering :premises (@p113) :args ((or @t108 @t131 (not @t132)))) % 159.48/159.74 (step @p115 :rule chain_m_resolution :premises (@p114 @p81 @p112) :args (@t131 @t110 (@list @t107 @t132))) % 159.48/159.74 (step @p116 :rule refl :args (@t74)) % 159.48/159.74 (step @p117 :rule bool-double-not-elim :args (@t95)) % 159.48/159.74 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t96) @t74))) % 159.48/159.74 (step @p119 :rule bool-impl-elim :args (@t96 @t74)) % 159.48/159.74 (step @p120 :rule trans :premises (@p119 @p118)) % 159.48/159.74 (step @p121 :rule cong :premises (@p120) :args ((forall @t72 (=> @t96 @t74)))) % 159.48/159.74 (step @p122 :rule refl :args (@t74)) % 159.48/159.74 (step @p123 :rule cong :premises (@p67) :args (@t75)) % 159.48/159.74 (step @p124 :rule cong :premises (@p123 @p122) :args (@t76)) % 159.48/159.74 (step @p125 :rule cong :premises (@p124) :args (@t77)) % 159.48/159.74 (step @p126 :rule trans :premises (@p125 @p121)) % 159.48/159.74 (step @p127 :rule eq_resolve :premises (@p28 @p126)) % 159.48/159.74 (step @p128 :rule eq-symm :args (@t133 @t134)) % 159.48/159.74 (step @p129 :rule eq-symm :args (@t111 @t50)) % 159.48/159.74 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t136)) % 159.48/159.74 (step @p131 :rule refl :args (@t137)) % 159.48/159.74 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t137 @t136))) % 159.48/159.74 (assume-push @p705 @t137) % 159.48/159.74 (step @p134 :rule instantiate :premises (@p127) :args ((@list @t111 @t50 tptp.nil))) % 159.48/159.74 (step-pop @p706 :rule scope :premises (@p134)) % 159.48/159.74 (step @p135 :rule process_scope :premises (@p706) :args (@t136)) % 159.48/159.74 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 159.48/159.74 (step @p138 :rule implies_elim :premises (@p137)) % 159.48/159.74 (step @p139 :rule chain_m_resolution :premises (@p138 @p127) :args (@t140 @t126 @t141)) % 159.48/159.74 (step @p140 :rule cong :premises (@p129) :args (@t142)) % 159.48/159.74 (step @p141 :rule cong :premises (@p103 @p140) :args ((=> @t124 @t142))) % 159.48/159.74 (assume-push @p707 @t124) % 159.48/159.74 (step @p143 :rule instantiate :premises (@p100) :args (@t90)) % 159.48/159.74 (step-pop @p708 :rule scope :premises (@p143)) % 159.48/159.74 (step @p144 :rule process_scope :premises (@p708) :args (@t142)) % 159.48/159.74 (step @p146 :rule eq_resolve :premises (@p144 @p141)) % 159.48/159.74 (step @p147 :rule implies_elim :premises (@p146)) % 159.48/159.74 (step @p148 :rule chain_m_resolution :premises (@p147 @p100) :args ((not @t139) @t126 @t127)) % 159.48/159.74 (step @p149 :rule cnf_or_pos :args (@t140)) % 159.48/159.74 (step @p150 :rule reordering :premises (@p149) :args ((or @t139 @t138 (not @t140)))) % 159.48/159.74 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p139) :args (@t138 @t143 (@list @t139 @t140))) % 159.48/159.74 (step @p152 :rule bool-impl-elim :args (@t144 @t60)) % 159.48/159.74 (step @p153 :rule cong :premises (@p152) :args ((forall @t63 (=> @t144 @t60)))) % 159.48/159.74 (step @p154 :rule refl :args (@t60)) % 159.48/159.74 (step @p155 :rule eq-symm :args (@t61 @t24)) % 159.48/159.74 (step @p156 :rule cong :premises (@p155 @p154) :args (@t62)) % 159.48/159.74 (step @p157 :rule cong :premises (@p156) :args (@t64)) % 159.48/159.74 (step @p158 :rule trans :premises (@p157 @p153)) % 159.48/159.74 (step @p159 :rule eq_resolve :premises (@p25 @p158)) % 159.48/159.74 (step @p160 :rule refl :args (@t148)) % 159.48/159.74 (step @p161 :rule eq-symm :args (@t149 @t152)) % 159.48/159.74 (step @p162 :rule cong :premises (@p161) :args (@t153)) % 159.48/159.74 (step @p163 :rule nary_cong :premises (@p162 @p160) :args (@t154)) % 159.48/159.74 (step @p164 :rule refl :args (@t155)) % 159.48/159.74 (step @p165 :rule cong :premises (@p164 @p163) :args ((=> @t155 @t154))) % 159.48/159.74 (assume-push @p709 @t155) % 159.48/159.74 (step @p167 :rule instantiate :premises (@p159) :args ((@list @t50 @t50 tptp.nil @t103 @t103))) % 159.48/159.74 (step-pop @p710 :rule scope :premises (@p167)) % 159.48/159.74 (step @p168 :rule process_scope :premises (@p710) :args (@t154)) % 159.48/159.74 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 159.48/159.74 (step @p171 :rule implies_elim :premises (@p170)) % 159.48/159.74 (step @p172 :rule chain_m_resolution :premises (@p171 @p159) :args (@t158 @t126 @t159)) % 159.48/159.74 (step @p173 :rule bool-impl-elim :args (@t25 @t23)) % 159.48/159.74 (step @p174 :rule cong :premises (@p173) :args (@t27)) % 159.48/159.74 (step @p175 :rule eq_resolve :premises (@p10 @p174)) % 159.48/159.74 (step @p176 :rule eq-symm :args (@t160 @t149)) % 159.48/159.74 (step @p177 :rule eq-symm :args (@t161 @t162)) % 159.48/159.74 (step @p178 :rule cong :premises (@p177) :args (@t163)) % 159.48/159.74 (step @p179 :rule nary_cong :premises (@p178 @p176) :args (@t164)) % 159.48/159.74 (step @p180 :rule refl :args (@t165)) % 159.48/159.74 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t165 @t164))) % 159.48/159.74 (assume-push @p711 @t165) % 159.48/159.74 (step @p183 :rule instantiate :premises (@p175) :args ((@list @t50 @t50 @t103 tptp.nil @t103))) % 159.48/159.74 (step-pop @p712 :rule scope :premises (@p183)) % 159.48/159.74 (step @p184 :rule process_scope :premises (@p712) :args (@t164)) % 159.48/159.74 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 159.48/159.74 (step @p187 :rule implies_elim :premises (@p186)) % 159.48/159.74 (step @p188 :rule chain_m_resolution :premises (@p187 @p175) :args (@t169 @t126 @t170)) % 159.48/159.74 (step @p189 :rule eq-symm :args (@t171 @t11)) % 159.48/159.74 (step @p190 :rule cong :premises (@p189) :args ((forall @t14 (= @t171 @t11)))) % 159.48/159.74 (step @p191 :rule refl :args (@t11)) % 159.48/159.74 (step @p192 :rule cong :premises (@p36 @p77) :args (@t12)) % 159.48/159.74 (step @p193 :rule cong :premises (@p192 @p191) :args (@t13)) % 159.48/159.74 (step @p194 :rule cong :premises (@p193) :args (@t15)) % 159.48/159.74 (step @p195 :rule trans :premises (@p194 @p190)) % 159.48/159.74 (step @p196 :rule eq_resolve :premises (@p8 @p195)) % 159.48/159.74 (step @p197 :rule instantiate :premises (@p196) :args (@t113)) % 159.48/159.74 (step @p198 :rule cnf_or_pos :args (@t169)) % 159.48/159.74 (step @p199 :rule reordering :premises (@p198) :args ((or @t168 @t166 (not @t169)))) % 159.48/159.74 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p188) :args (@t166 @t110 (@list @t167 @t169))) % 159.48/159.74 (step @p201 :rule symm :premises (@p200)) % 159.48/159.74 (step @p202 :rule refl :args (@t114)) % 159.48/159.74 (step @p203 :rule cong :premises (@p36) :args (@t52)) % 159.48/159.74 (step @p204 :rule cong :premises (@p36 @p203) :args ((= tptp.z @t52))) % 159.48/159.74 (step @p205 :rule eq-symm :args (@t52 tptp.z)) % 159.48/159.74 (step @p206 :rule trans :premises (@p205 @p204)) % 159.48/159.74 (step @p207 :rule eq_resolve :premises (@p20 @p206)) % 159.48/159.74 (step @p208 :rule symm :premises (@p207)) % 159.48/159.74 (step @p209 :rule cong :premises (@p208) :args ((tptp.s (tptp.div2 @t50)))) % 159.48/159.74 (step @p210 :rule instantiate :premises (@p22) :args (@t90)) % 159.48/159.74 (step @p211 :rule instantiate :premises (@p19) :args (@t102)) % 159.48/159.74 (step @p212 :rule eq-symm :args (@t39 @t38)) % 159.48/159.74 (step @p213 :rule cong :premises (@p212) :args (@t41)) % 159.48/159.74 (step @p214 :rule eq_resolve :premises (@p15 @p213)) % 159.48/159.74 (step @p215 :rule instantiate :premises (@p214) :args (@t102)) % 159.48/159.74 (step @p216 :rule symm :premises (@p215)) % 159.48/159.74 (step @p217 :rule cong :premises (@p216) :args (@t173)) % 159.48/159.74 (step @p218 :rule trans :premises (@p217 @p211)) % 159.48/159.74 (step @p219 :rule cong :premises (@p218) :args ((tptp.s @t173))) % 159.48/159.74 (step @p220 :rule instantiate :premises (@p19) :args ((@list @t50 @t172))) % 159.48/159.74 (step @p221 :rule refl :args (@t50)) % 159.48/159.74 (step @p222 :rule cong :premises (@p221 @p215) :args (@t114)) % 159.48/159.74 (step @p223 :rule cong :premises (@p222) :args (@t150)) % 159.48/159.74 (step @p224 :rule trans :premises (@p223 @p220 @p219)) % 159.48/159.74 (step @p225 :rule cong :premises (@p224) :args (@t151)) % 159.48/159.74 (step @p226 :rule trans :premises (@p225 @p210 @p209)) % 159.48/159.74 (step @p227 :rule cong :premises (@p226 @p202) :args (@t152)) % 159.48/159.74 (step @p228 :rule trans :premises (@p227 @p201)) % 159.48/159.74 (step @p229 :rule cnf_or_pos :args (@t158)) % 159.48/159.74 (step @p230 :rule reordering :premises (@p229) :args ((or @t148 @t157 (not @t158)))) % 159.48/159.74 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p172) :args (@t148 @t110 (@list @t156 @t158))) % 159.48/159.74 (step @p232 :rule instantiate :premises (@p71) :args (@t174)) % 159.48/159.74 (step @p233 :rule refl :args (@t176)) % 159.48/159.74 (step @p234 :rule nary_cong :premises (@p129 @p233) :args (@t177)) % 159.48/159.74 (step @p235 :rule cong :premises (@p131 @p234) :args ((=> @t137 @t177))) % 159.48/159.74 (assume-push @p713 @t137) % 159.48/159.74 (step @p237 :rule instantiate :premises (@p127) :args ((@list @t111 @t50 @t104))) % 159.48/159.74 (step-pop @p714 :rule scope :premises (@p237)) % 159.48/159.74 (step @p238 :rule process_scope :premises (@p714) :args (@t177)) % 159.48/159.74 (step @p240 :rule eq_resolve :premises (@p238 @p235)) % 159.48/159.74 (step @p241 :rule implies_elim :premises (@p240)) % 159.48/159.74 (step @p242 :rule chain_m_resolution :premises (@p241 @p127) :args (@t178 @t126 @t141)) % 159.48/159.74 (step @p243 :rule cnf_or_pos :args (@t178)) % 159.48/159.74 (step @p244 :rule reordering :premises (@p243) :args ((or @t139 @t176 (not @t178)))) % 159.48/159.74 (step @p245 :rule chain_m_resolution :premises (@p244 @p148 @p242) :args (@t176 @t143 (@list @t139 @t178))) % 159.48/159.74 (step @p246 :rule instantiate :premises (@p71) :args ((@list @t50 @t179))) % 159.48/159.74 (step @p247 :rule instantiate :premises (@p88) :args (@t180)) % 159.48/159.74 (step @p248 :rule refl :args (@t183)) % 159.48/159.74 (step @p249 :rule eq-symm :args (@t184 @t187)) % 159.48/159.74 (step @p250 :rule cong :premises (@p249) :args (@t188)) % 159.48/159.74 (step @p251 :rule nary_cong :premises (@p250 @p248) :args (@t189)) % 159.48/159.74 (step @p252 :rule cong :premises (@p164 @p251) :args ((=> @t155 @t189))) % 159.48/159.74 (assume-push @p715 @t155) % 159.48/159.74 (step @p254 :rule instantiate :premises (@p159) :args ((@list @t50 @t50 @t104 @t103 @t114))) % 159.48/159.74 (step-pop @p716 :rule scope :premises (@p254)) % 159.48/159.74 (step @p255 :rule process_scope :premises (@p716) :args (@t189)) % 159.48/159.74 (step @p257 :rule eq_resolve :premises (@p255 @p252)) % 159.48/159.74 (step @p258 :rule implies_elim :premises (@p257)) % 159.48/159.74 (step @p259 :rule chain_m_resolution :premises (@p258 @p159) :args (@t192 @t126 @t159)) % 159.48/159.74 (step @p260 :rule eq-symm :args (@t193 @t184)) % 159.48/159.74 (step @p261 :rule eq-symm :args (@t194 @t195)) % 159.48/159.74 (step @p262 :rule cong :premises (@p261) :args (@t196)) % 159.48/159.74 (step @p263 :rule nary_cong :premises (@p262 @p260) :args (@t197)) % 159.48/159.74 (step @p264 :rule cong :premises (@p180 @p263) :args ((=> @t165 @t197))) % 159.48/159.74 (assume-push @p717 @t165) % 159.48/159.74 (step @p266 :rule instantiate :premises (@p175) :args ((@list @t50 @t50 @t114 tptp.nil @t114))) % 159.48/159.74 (step-pop @p718 :rule scope :premises (@p266)) % 159.48/159.74 (step @p267 :rule process_scope :premises (@p718) :args (@t197)) % 159.48/159.74 (step @p269 :rule eq_resolve :premises (@p267 @p264)) % 159.48/159.74 (step @p270 :rule implies_elim :premises (@p269)) % 159.48/159.74 (step @p271 :rule chain_m_resolution :premises (@p270 @p175) :args (@t201 @t126 @t170)) % 159.48/159.74 (step @p272 :rule instantiate :premises (@p196) :args (@t115)) % 159.48/159.74 (step @p273 :rule cnf_or_pos :args (@t201)) % 159.48/159.74 (step @p274 :rule reordering :premises (@p273) :args ((or @t200 @t198 (not @t201)))) % 159.48/159.74 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p271) :args (@t198 @t110 (@list @t199 @t201))) % 159.48/159.74 (step @p276 :rule symm :premises (@p275)) % 159.48/159.74 (step @p277 :rule symm :premises (@p91)) % 159.48/159.74 (step @p278 :rule cong :premises (@p221 @p277) :args (@t129)) % 159.48/159.74 (step @p279 :rule symm :premises (@p89)) % 159.48/159.74 (step @p280 :rule cong :premises (@p221 @p279) :args (@t105)) % 159.48/159.74 (step @p281 :rule trans :premises (@p280 @p91)) % 159.48/159.74 (step @p282 :rule cong :premises (@p221 @p281) :args (@t182)) % 159.48/159.74 (step @p283 :rule trans :premises (@p282 @p278)) % 159.48/159.74 (step @p284 :rule cong :premises (@p36) :args (@t53)) % 159.48/159.74 (step @p285 :rule cong :premises (@p284) :args (@t54)) % 159.48/159.74 (step @p286 :rule cong :premises (@p36 @p285) :args ((= tptp.z @t54))) % 159.48/159.74 (step @p287 :rule eq-symm :args (@t54 tptp.z)) % 159.48/159.74 (step @p288 :rule trans :premises (@p287 @p286)) % 159.48/159.74 (step @p289 :rule eq_resolve :premises (@p21 @p288)) % 159.48/159.74 (step @p290 :rule symm :premises (@p289)) % 159.48/159.74 (step @p291 :rule cong :premises (@p290) :args ((tptp.s (tptp.div2 @t111)))) % 159.48/159.74 (step @p292 :rule instantiate :premises (@p22) :args (@t112)) % 159.48/159.74 (step @p293 :rule trans :premises (@p277 @p222)) % 159.48/159.74 (step @p294 :rule cong :premises (@p293) :args (@t202)) % 159.48/159.74 (step @p295 :rule trans :premises (@p294 @p220 @p219)) % 159.48/159.74 (step @p296 :rule cong :premises (@p295) :args ((tptp.s @t202))) % 159.48/159.74 (step @p297 :rule instantiate :premises (@p19) :args (@t174)) % 159.48/159.74 (step @p298 :rule symm :premises (@p278)) % 159.48/159.74 (step @p299 :rule cong :premises (@p298) :args (@t203)) % 159.48/159.74 (step @p300 :rule cong :premises (@p283) :args (@t185)) % 159.48/159.74 (step @p301 :rule trans :premises (@p300 @p299 @p297 @p296)) % 159.48/159.74 (step @p302 :rule cong :premises (@p301) :args (@t186)) % 159.48/159.74 (step @p303 :rule trans :premises (@p302 @p292 @p291)) % 159.48/159.74 (step @p304 :rule cong :premises (@p303 @p283) :args (@t187)) % 159.48/159.74 (step @p305 :rule trans :premises (@p304 @p276)) % 159.48/159.74 (step @p306 :rule cnf_or_pos :args (@t192)) % 159.48/159.74 (step @p307 :rule reordering :premises (@p306) :args ((or @t183 @t191 (not @t192)))) % 159.48/159.74 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p259) :args (@t183 @t110 (@list @t190 @t192))) % 159.48/159.74 (step @p309 :rule instantiate :premises (@p71) :args (@t205)) % 159.48/159.74 (step @p310 :rule instantiate :premises (@p75) :args ((@list @t50 tptp.nil @t50 @t128))) % 159.48/159.74 (step @p311 :rule cnf_or_pos :args (@t210)) % 159.48/159.74 (step @p312 :rule reordering :premises (@p311) :args ((or @t108 @t209 (not @t210)))) % 159.48/159.74 (step @p313 :rule chain_m_resolution :premises (@p312 @p81 @p310) :args (@t209 @t110 (@list @t107 @t210))) % 159.48/159.74 (step @p314 :rule refl :args (@t213)) % 159.48/159.74 (step @p315 :rule nary_cong :premises (@p129 @p314) :args (@t214)) % 159.48/159.74 (step @p316 :rule cong :premises (@p131 @p315) :args ((=> @t137 @t214))) % 159.48/159.74 (assume-push @p719 @t137) % 159.48/159.74 (step @p318 :rule instantiate :premises (@p127) :args ((@list @t111 @t50 @t130))) % 159.48/159.74 (step-pop @p720 :rule scope :premises (@p318)) % 159.48/159.74 (step @p319 :rule process_scope :premises (@p720) :args (@t214)) % 159.48/159.74 (step @p321 :rule eq_resolve :premises (@p319 @p316)) % 159.48/159.74 (step @p322 :rule implies_elim :premises (@p321)) % 159.48/159.74 (step @p323 :rule chain_m_resolution :premises (@p322 @p127) :args (@t215 @t126 @t141)) % 159.48/159.74 (step @p324 :rule cnf_or_pos :args (@t215)) % 159.48/159.74 (step @p325 :rule reordering :premises (@p324) :args ((or @t139 @t213 (not @t215)))) % 159.48/159.74 (step @p326 :rule chain_m_resolution :premises (@p325 @p148 @p323) :args (@t213 @t143 (@list @t139 @t215))) % 159.48/159.74 (step @p327 :rule refl :args (@t217)) % 159.48/159.74 (step @p328 :rule nary_cong :premises (@p129 @p327) :args (@t218)) % 159.48/159.74 (step @p329 :rule cong :premises (@p131 @p328) :args ((=> @t137 @t218))) % 159.48/159.74 (assume-push @p721 @t137) % 159.48/159.74 (step @p331 :rule instantiate :premises (@p127) :args ((@list @t111 @t50 @t128))) % 159.48/159.74 (step-pop @p722 :rule scope :premises (@p331)) % 159.48/159.74 (step @p332 :rule process_scope :premises (@p722) :args (@t218)) % 159.48/159.74 (step @p334 :rule eq_resolve :premises (@p332 @p329)) % 159.48/159.74 (step @p335 :rule implies_elim :premises (@p334)) % 159.48/159.74 (step @p336 :rule chain_m_resolution :premises (@p335 @p127) :args (@t219 @t126 @t141)) % 159.48/159.74 (step @p337 :rule cnf_or_pos :args (@t219)) % 159.48/159.74 (step @p338 :rule reordering :premises (@p337) :args ((or @t139 @t217 (not @t219)))) % 159.48/159.74 (step @p339 :rule chain_m_resolution :premises (@p338 @p148 @p336) :args (@t217 @t143 (@list @t139 @t219))) % 159.48/159.74 (step @p340 :rule instantiate :premises (@p71) :args (@t221)) % 159.48/159.74 (step @p341 :rule instantiate :premises (@p75) :args ((@list @t50 @t103 @t50 @t128))) % 159.48/159.74 (step @p342 :rule cnf_or_pos :args (@t225)) % 159.48/159.74 (step @p343 :rule reordering :premises (@p342) :args ((or @t108 @t224 (not @t225)))) % 159.48/159.74 (step @p344 :rule chain_m_resolution :premises (@p343 @p81 @p341) :args (@t224 @t110 (@list @t107 @t225))) % 159.48/159.74 (step @p345 :rule instantiate :premises (@p75) :args ((@list @t50 @t114 @t50 @t128))) % 159.48/159.74 (step @p346 :rule cnf_or_pos :args (@t228)) % 159.48/159.74 (step @p347 :rule reordering :premises (@p346) :args ((or @t108 @t227 (not @t228)))) % 159.48/159.74 (step @p348 :rule chain_m_resolution :premises (@p347 @p81 @p345) :args (@t227 @t110 (@list @t107 @t228))) % 159.48/159.74 (step @p349 :rule refl :args (@t78)) % 159.48/159.74 (step @p350 :rule cong :premises (@p284) :args (@t79)) % 159.48/159.74 (step @p351 :rule cong :premises (@p350) :args (@t80)) % 159.48/159.74 (step @p352 :rule cong :premises (@p351) :args (@t81)) % 159.48/159.74 (step @p353 :rule cong :premises (@p352) :args (@t82)) % 159.48/159.74 (step @p354 :rule refl :args (@t67)) % 159.48/159.74 (step @p355 :rule cong :premises (@p354 @p353) :args (@t83)) % 159.48/159.74 (step @p356 :rule nary_cong :premises (@p355 @p349) :args (@t229)) % 159.48/159.74 (step @p357 :rule cong :premises (@p356) :args (@t230)) % 159.48/159.74 (step @p358 :rule bool-double-not-elim :args (@t230)) % 159.48/159.74 (step @p359 :rule refl :args (@t78)) % 159.48/159.74 (step @p360 :rule bool-double-not-elim :args (@t83)) % 159.48/159.74 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or (not @t84) @t78))) % 159.48/159.74 (step @p362 :rule bool-impl-elim :args (@t84 @t78)) % 159.48/159.74 (step @p363 :rule trans :premises (@p362 @p361)) % 159.48/159.74 (step @p364 :rule cong :premises (@p363) :args ((forall @t87 @t85))) % 159.48/159.74 (step @p365 :rule bool-double-not-elim :args (@t85)) % 159.48/159.74 (step @p366 :rule cong :premises (@p365) :args (@t231)) % 159.48/159.74 (step @p367 :rule trans :premises (@p366 @p364)) % 159.48/159.74 (step @p368 :rule cong :premises (@p367) :args (@t232)) % 159.48/159.74 (step @p369 :rule exists-elim :args ((= @t88 @t232))) % 159.48/159.74 (step @p370 :rule trans :premises (@p369 @p368)) % 159.48/159.74 (step @p371 :rule cong :premises (@p370) :args (@t89)) % 159.48/159.74 (step @p372 :rule trans :premises (@p371 @p358)) % 159.48/159.74 (step @p373 :rule trans :premises (@p372 @p357)) % 159.48/159.74 (step @p374 :rule eq_resolve :premises (@p29 @p373)) % 159.48/159.74 (step @p375 :rule instantiate :premises (@p374) :args ((@list @t233 @t50))) % 159.48/159.74 (step @p376 :rule instantiate :premises (@p13) :args ((@list @t121 @t120))) % 159.48/159.74 (step @p377 :rule instantiate :premises (@p13) :args ((@list @t120 @t119))) % 159.48/159.74 (step @p378 :rule eq-symm :args (@t234 @t235)) % 159.48/159.74 (step @p379 :rule refl :args (@t34)) % 159.48/159.74 (step @p380 :rule cong :premises (@p379 @p378) :args ((=> @t34 @t236))) % 159.48/159.74 (assume-push @p723 @t34) % 159.48/159.74 (step @p382 :rule instantiate :premises (@p13) :args ((@list @t119 @t118))) % 159.48/159.74 (step-pop @p724 :rule scope :premises (@p382)) % 159.48/159.74 (step @p383 :rule process_scope :premises (@p724) :args (@t236)) % 159.48/159.74 (step @p385 :rule eq_resolve :premises (@p383 @p380)) % 159.48/159.74 (step @p386 :rule implies_elim :premises (@p385)) % 159.48/159.74 (step @p387 :rule chain_m_resolution :premises (@p386 @p13) :args (@t237 @t126 @t238)) % 159.48/159.74 (step @p388 :rule eq-symm :args (@t235 @t239)) % 159.48/159.74 (step @p389 :rule cong :premises (@p379 @p388) :args ((=> @t34 @t240))) % 159.48/159.74 (assume-push @p725 @t34) % 159.48/159.74 (step @p391 :rule instantiate :premises (@p13) :args ((@list @t118 @t111))) % 159.48/159.74 (step-pop @p726 :rule scope :premises (@p391)) % 159.48/159.74 (step @p392 :rule process_scope :premises (@p726) :args (@t240)) % 159.48/159.74 (step @p394 :rule eq_resolve :premises (@p392 @p389)) % 159.48/159.74 (step @p395 :rule implies_elim :premises (@p394)) % 159.48/159.74 (step @p396 :rule chain_m_resolution :premises (@p395 @p13) :args (@t241 @t126 @t238)) % 159.48/159.74 (step @p397 :rule eq-symm :args (@t239 @t242)) % 159.48/159.74 (step @p398 :rule cong :premises (@p379 @p397) :args ((=> @t34 @t243))) % 159.48/159.74 (assume-push @p727 @t34) % 159.48/159.74 (step @p400 :rule instantiate :premises (@p13) :args ((@list @t111 @t50))) % 159.48/159.74 (step-pop @p728 :rule scope :premises (@p400)) % 159.48/159.74 (step @p401 :rule process_scope :premises (@p728) :args (@t243)) % 159.48/159.74 (step @p403 :rule eq_resolve :premises (@p401 @p398)) % 159.48/159.74 (step @p404 :rule implies_elim :premises (@p403)) % 159.48/159.74 (step @p405 :rule chain_m_resolution :premises (@p404 @p13) :args (@t244 @t126 @t238)) % 159.48/159.74 (step @p406 :rule refl :args (@t17)) % 159.48/159.74 (step @p407 :rule cong :premises (@p406 @p36) :args (@t30)) % 159.48/159.74 (step @p408 :rule cong :premises (@p407) :args (@t31)) % 159.48/159.74 (step @p409 :rule cong :premises (@p408) :args (@t32)) % 159.48/159.74 (step @p410 :rule eq_resolve :premises (@p12 @p409)) % 159.48/159.74 (step @p411 :rule instantiate :premises (@p410) :args (@t90)) % 159.48/159.74 (step @p412 :rule cnf_equiv_pos2 :args (@t244)) % 159.48/159.74 (step @p413 :rule reordering :premises (@p412) :args ((or @t242 @t245 (not @t244)))) % 159.48/159.74 (step @p414 :rule chain_m_resolution :premises (@p413 @p411 @p405) :args (@t245 @t143 (@list @t242 @t244))) % 159.48/159.74 (step @p415 :rule cnf_equiv_pos2 :args (@t241)) % 159.48/159.74 (step @p416 :rule reordering :premises (@p415) :args ((or @t239 @t246 (not @t241)))) % 159.48/159.74 (step @p417 :rule chain_m_resolution :premises (@p416 @p414 @p396) :args (@t246 @t143 (@list @t239 @t241))) % 159.48/159.74 (step @p418 :rule cnf_equiv_pos2 :args (@t237)) % 159.48/159.74 (step @p419 :rule reordering :premises (@p418) :args ((or @t235 @t247 (not @t237)))) % 159.48/159.74 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p387) :args (@t247 @t143 (@list @t235 @t237))) % 159.48/159.74 (step @p421 :rule cnf_equiv_pos1 :args (@t249)) % 159.48/159.74 (step @p422 :rule reordering :premises (@p421) :args ((or @t250 @t234 (not @t249)))) % 159.48/159.74 (step @p423 :rule chain_m_resolution :premises (@p422 @p420 @p377) :args (@t250 @t143 (@list @t234 @t249))) % 159.48/159.74 (step @p424 :rule cnf_equiv_pos1 :args (@t252)) % 159.48/159.74 (step @p425 :rule reordering :premises (@p424) :args ((or @t248 @t253 (not @t252)))) % 159.48/159.74 (step @p426 :rule chain_m_resolution :premises (@p425 @p423 @p376) :args (@t253 @t143 (@list @t248 @t252))) % 159.48/159.74 (step @p427 :rule false_intro :premises (@p426)) % 159.48/159.74 (step @p428 :rule refl :args (@t121)) % 159.48/159.74 (step @p429 :rule symm :premises (@p43)) % 159.48/159.74 (step @p430 :rule cong :premises (@p429) :args (@t255)) % 159.48/159.74 (step @p431 :rule cong :premises (@p221 @p279) :args (@t256)) % 159.48/159.74 (step @p432 :rule trans :premises (@p431 @p72 @p430)) % 159.48/159.74 (step @p433 :rule cong :premises (@p432) :args (@t257)) % 159.48/159.74 (step @p434 :rule cong :premises (@p221 @p89) :args (@t114)) % 159.48/159.74 (step @p435 :rule cong :premises (@p221 @p434) :args ((tptp.count @t50 @t114))) % 159.48/159.74 (step @p436 :rule cong :premises (@p221 @p277) :args (@t258)) % 159.48/159.74 (step @p437 :rule trans :premises (@p436 @p435 @p90 @p433)) % 159.48/159.74 (step @p438 :rule cong :premises (@p437) :args (@t259)) % 159.48/159.74 (step @p439 :rule cong :premises (@p221 @p298) :args (@t260)) % 159.48/159.74 (step @p440 :rule trans :premises (@p439 @p232 @p438)) % 159.48/159.74 (step @p441 :rule cong :premises (@p440) :args (@t261)) % 159.48/159.74 (step @p442 :rule trans :premises (@p246 @p441)) % 159.48/159.74 (step @p443 :rule cong :premises (@p442) :args (@t263)) % 159.48/159.74 (step @p444 :rule trans :premises (@p309 @p443)) % 159.48/159.74 (step @p445 :rule cong :premises (@p444) :args (@t265)) % 159.48/159.74 (step @p446 :rule trans :premises (@p340 @p445)) % 159.48/159.74 (step @p447 :rule cong :premises (@p446 @p428) :args (@t267)) % 159.48/159.74 (step @p448 :rule trans :premises (@p447 @p427)) % 159.48/159.74 (step @p449 :rule false_elim :premises (@p448)) % 159.48/159.74 (step @p450 :rule cnf_or_pos :args (@t272)) % 159.48/159.74 (step @p451 :rule reordering :premises (@p450) :args ((or @t267 @t271 (not @t272)))) % 159.48/159.74 (step @p452 :rule chain_m_resolution :premises (@p451 @p449 @p375) :args (@t271 @t143 (@list @t267 @t272))) % 159.48/159.74 (step @p453 :rule refl :args (@t274)) % 159.48/159.74 (step @p454 :rule nary_cong :premises (@p129 @p453) :args (@t275)) % 159.48/159.74 (step @p455 :rule cong :premises (@p131 @p454) :args ((=> @t137 @t275))) % 159.48/159.74 (assume-push @p729 @t137) % 159.48/159.74 (step @p457 :rule instantiate :premises (@p127) :args ((@list @t111 @t50 @t220))) % 159.48/159.74 (step-pop @p730 :rule scope :premises (@p457)) % 159.48/159.74 (step @p458 :rule process_scope :premises (@p730) :args (@t275)) % 159.48/159.74 (step @p460 :rule eq_resolve :premises (@p458 @p455)) % 159.48/159.74 (step @p461 :rule implies_elim :premises (@p460)) % 159.48/159.74 (step @p462 :rule chain_m_resolution :premises (@p461 @p127) :args (@t276 @t126 @t141)) % 159.48/159.74 (step @p463 :rule cnf_or_pos :args (@t276)) % 159.48/159.74 (step @p464 :rule reordering :premises (@p463) :args ((or @t139 @t274 (not @t276)))) % 159.48/159.74 (step @p465 :rule chain_m_resolution :premises (@p464 @p148 @p462) :args (@t274 @t143 (@list @t139 @t276))) % 159.48/159.74 (step @p466 :rule eq-symm :args (@t273 @t277)) % 159.48/159.74 (step @p467 :rule nary_cong :premises (@p129 @p466) :args (@t278)) % 159.48/159.74 (step @p468 :rule cong :premises (@p131 @p467) :args ((=> @t137 @t278))) % 159.48/159.74 (assume-push @p731 @t137) % 159.48/159.74 (step @p470 :rule instantiate :premises (@p127) :args ((@list @t111 @t50 @t204))) % 159.48/159.74 (step-pop @p732 :rule scope :premises (@p470)) % 159.48/159.74 (step @p471 :rule process_scope :premises (@p732) :args (@t278)) % 159.48/159.74 (step @p473 :rule eq_resolve :premises (@p471 @p468)) % 159.48/159.74 (step @p474 :rule implies_elim :premises (@p473)) % 159.48/159.74 (step @p475 :rule chain_m_resolution :premises (@p474 @p127) :args (@t280 @t126 @t141)) % 159.48/159.74 (step @p476 :rule cnf_or_pos :args (@t280)) % 159.48/159.74 (step @p477 :rule reordering :premises (@p476) :args ((or @t139 @t279 (not @t280)))) % 159.48/159.74 (step @p478 :rule chain_m_resolution :premises (@p477 @p148 @p475) :args (@t279 @t143 (@list @t139 @t280))) % 159.48/159.74 (step @p479 :rule refl :args (@t283)) % 159.48/159.74 (step @p480 :rule eq-symm :args (@t284 @t286)) % 159.48/159.74 (step @p481 :rule cong :premises (@p480) :args (@t287)) % 159.48/159.74 (step @p482 :rule nary_cong :premises (@p481 @p479) :args (@t288)) % 159.48/159.74 (step @p483 :rule cong :premises (@p164 @p482) :args ((=> @t155 @t288))) % 159.48/159.74 (assume-push @p733 @t155) % 159.48/159.74 (step @p485 :rule instantiate :premises (@p159) :args ((@list @t50 @t50 @t204 @t179 @t179))) % 159.48/159.74 (step-pop @p734 :rule scope :premises (@p485)) % 159.48/159.74 (step @p486 :rule process_scope :premises (@p734) :args (@t288)) % 159.48/159.74 (step @p488 :rule eq_resolve :premises (@p486 @p483)) % 159.48/159.74 (step @p489 :rule implies_elim :premises (@p488)) % 159.48/159.74 (step @p490 :rule chain_m_resolution :premises (@p489 @p159) :args (@t291 @t126 @t159)) % 159.48/159.74 (step @p491 :rule eq-symm :args (@t295 @t284)) % 159.48/159.74 (step @p492 :rule refl :args (@t299)) % 159.48/159.74 (step @p493 :rule nary_cong :premises (@p492 @p491) :args (@t300)) % 159.48/159.74 (step @p494 :rule cong :premises (@p180 @p493) :args ((=> @t165 @t300))) % 159.48/159.74 (assume-push @p735 @t165) % 159.48/159.74 (step @p496 :rule instantiate :premises (@p175) :args ((@list @t294 @t50 @t292 @t114 @t179))) % 159.48/159.74 (step-pop @p736 :rule scope :premises (@p496)) % 159.48/159.74 (step @p497 :rule process_scope :premises (@p736) :args (@t300)) % 159.48/159.74 (step @p499 :rule eq_resolve :premises (@p497 @p494)) % 159.48/159.74 (step @p500 :rule implies_elim :premises (@p499)) % 159.48/159.74 (step @p501 :rule chain_m_resolution :premises (@p500 @p175) :args (@t302 @t126 @t170)) % 159.48/159.74 (step @p502 :rule instantiate :premises (@p175) :args ((@list @t111 @t50 @t204 @t103 @t179))) % 159.48/159.74 (step @p503 :rule refl :args (@t303)) % 159.48/159.74 (step @p504 :rule eq-symm :args (@t304 @t305)) % 159.48/159.74 (step @p505 :rule cong :premises (@p504) :args (@t306)) % 159.48/159.74 (step @p506 :rule nary_cong :premises (@p505 @p503) :args (@t307)) % 159.48/159.74 (step @p507 :rule cong :premises (@p180 @p506) :args ((=> @t165 @t307))) % 159.48/159.74 (assume-push @p737 @t165) % 159.48/159.74 (step @p509 :rule instantiate :premises (@p175) :args ((@list @t50 @t50 @t179 tptp.nil @t179))) % 159.48/159.74 (step-pop @p738 :rule scope :premises (@p509)) % 159.48/159.74 (step @p510 :rule process_scope :premises (@p738) :args (@t307)) % 159.48/159.74 (step @p512 :rule eq_resolve :premises (@p510 @p507)) % 159.48/159.74 (step @p513 :rule implies_elim :premises (@p512)) % 159.48/159.74 (step @p514 :rule chain_m_resolution :premises (@p513 @p175) :args (@t310 @t126 @t170)) % 159.48/159.74 (step @p515 :rule instantiate :premises (@p196) :args (@t180)) % 159.48/159.74 (step @p516 :rule cnf_or_pos :args (@t310)) % 159.48/159.74 (step @p517 :rule reordering :premises (@p516) :args ((or @t309 @t303 (not @t310)))) % 159.48/159.74 (step @p518 :rule chain_m_resolution :premises (@p517 @p515 @p514) :args (@t303 @t110 (@list @t308 @t310))) % 159.48/159.74 (step @p519 :rule cnf_or_pos :args (@t313)) % 159.48/159.74 (step @p520 :rule reordering :premises (@p519) :args ((or @t312 @t311 (not @t313)))) % 159.48/159.74 (step @p521 :rule chain_m_resolution :premises (@p520 @p518 @p502) :args (@t311 @t110 (@list @t303 @t313))) % 159.48/159.74 (step @p522 :rule trans :premises (@p115 @p278)) % 159.48/159.74 (step @p523 :rule cong :premises (@p221 @p522) :args (@t211)) % 159.48/159.74 (step @p524 :rule cong :premises (@p221 @p523) :args (@t292)) % 159.48/159.74 (step @p525 :rule trans :premises (@p292 @p291)) % 159.48/159.74 (step @p526 :rule cong :premises (@p525) :args ((tptp.s (tptp.div2 @t119)))) % 159.48/159.74 (step @p527 :rule instantiate :premises (@p22) :args ((@list @t119))) % 159.48/159.74 (step @p528 :rule cong :premises (@p522) :args (@t314)) % 159.48/159.74 (step @p529 :rule trans :premises (@p528 @p299 @p297 @p296)) % 159.48/159.74 (step @p530 :rule cong :premises (@p529) :args ((tptp.s @t314))) % 159.48/159.74 (step @p531 :rule instantiate :premises (@p19) :args ((@list @t50 @t130))) % 159.48/159.74 (step @p532 :rule symm :premises (@p523)) % 159.48/159.74 (step @p533 :rule cong :premises (@p532) :args (@t315)) % 159.48/159.74 (step @p534 :rule trans :premises (@p533 @p531 @p530)) % 159.48/159.74 (step @p535 :rule cong :premises (@p534) :args ((tptp.s @t315))) % 159.48/159.74 (step @p536 :rule instantiate :premises (@p19) :args (@t205)) % 159.48/159.74 (step @p537 :rule cong :premises (@p524) :args (@t293)) % 159.48/159.74 (step @p538 :rule trans :premises (@p537 @p536 @p535)) % 159.48/159.74 (step @p539 :rule cong :premises (@p538) :args (@t294)) % 159.48/159.74 (step @p540 :rule trans :premises (@p539 @p527 @p526)) % 159.48/159.74 (step @p541 :rule cong :premises (@p540 @p524) :args (@t297)) % 159.48/159.74 (step @p542 :rule trans :premises (@p541 @p521)) % 159.48/159.74 (step @p543 :rule cnf_or_pos :args (@t302)) % 159.48/159.74 (step @p544 :rule reordering :premises (@p543) :args ((or @t299 @t301 (not @t302)))) % 159.48/159.74 (step @p545 :rule chain_m_resolution :premises (@p544 @p542 @p501) :args (@t301 @t110 (@list @t298 @t302))) % 159.48/159.74 (step @p546 :rule symm :premises (@p545)) % 159.48/159.74 (step @p547 :rule cong :premises (@p221 @p532) :args (@t220)) % 159.48/159.74 (step @p548 :rule cong :premises (@p221 @p547) :args (@t233)) % 159.48/159.74 (step @p549 :rule cong :premises (@p547) :args (@t316)) % 159.48/159.74 (step @p550 :rule symm :premises (@p536)) % 159.48/159.74 (step @p551 :rule cong :premises (@p523) :args ((tptp.lengthNat @t211))) % 159.48/159.74 (step @p552 :rule symm :premises (@p531)) % 159.48/159.74 (step @p553 :rule symm :premises (@p115)) % 159.48/159.74 (step @p554 :rule trans :premises (@p298 @p553)) % 159.48/159.74 (step @p555 :rule cong :premises (@p554) :args (@t203)) % 159.48/159.74 (step @p556 :rule cong :premises (@p278) :args ((tptp.lengthNat @t129))) % 159.48/159.74 (step @p557 :rule symm :premises (@p297)) % 159.48/159.74 (step @p558 :rule cong :premises (@p221 @p216) :args (@t317)) % 159.48/159.74 (step @p559 :rule trans :premises (@p558 @p91)) % 159.48/159.74 (step @p560 :rule cong :premises (@p559) :args ((tptp.lengthNat @t317))) % 159.48/159.74 (step @p561 :rule symm :premises (@p220)) % 159.48/159.74 (step @p562 :rule cong :premises (@p215) :args (@t318)) % 159.48/159.74 (step @p563 :rule eq-symm :args (@t318 @t111)) % 159.48/159.74 (step @p564 :rule refl :args (@t51)) % 159.48/159.74 (step @p565 :rule cong :premises (@p564 @p563) :args ((=> @t51 @t319))) % 159.48/159.74 (assume-push @p739 @t51) % 159.48/159.74 (step-pop @p740 :rule scope :premises (@p211)) % 159.48/159.74 (step @p567 :rule process_scope :premises (@p740) :args (@t319)) % 159.48/159.74 (step @p569 :rule eq_resolve :premises (@p567 @p565)) % 159.48/159.74 (step @p570 :rule implies_elim :premises (@p569)) % 159.48/159.74 (step @p571 :rule chain_m_resolution :premises (@p570 @p19) :args ((= @t111 @t318) @t126 (@list @t51))) % 159.48/159.74 (step @p572 :rule trans :premises (@p571 @p562)) % 159.48/159.74 (step @p573 :rule cong :premises (@p572) :args (@t118)) % 159.48/159.74 (step @p574 :rule trans :premises (@p573 @p561 @p560)) % 159.48/159.74 (step @p575 :rule cong :premises (@p574) :args (@t119)) % 159.48/159.74 (step @p576 :rule trans :premises (@p575 @p557 @p556 @p555)) % 159.48/159.74 (step @p577 :rule cong :premises (@p576) :args (@t120)) % 159.48/159.74 (step @p578 :rule trans :premises (@p577 @p552 @p551)) % 159.48/159.74 (step @p579 :rule cong :premises (@p578) :args (@t121)) % 159.48/159.74 (step @p580 :rule trans :premises (@p579 @p550 @p549)) % 159.48/159.74 (step @p581 :rule cong :premises (@p580) :args ((tptp.div2 @t121))) % 159.48/159.74 (step @p582 :rule symm :premises (@p527)) % 159.48/159.74 (step @p583 :rule symm :premises (@p292)) % 159.48/159.74 (step @p584 :rule cong :premises (@p289) :args (@t111)) % 159.48/159.74 (step @p585 :rule trans :premises (@p584 @p583)) % 159.48/159.74 (step @p586 :rule cong :premises (@p585) :args (@t118)) % 159.48/159.74 (step @p587 :rule trans :premises (@p586 @p582 @p581)) % 159.48/159.74 (step @p588 :rule cong :premises (@p587) :args (@t119)) % 159.48/159.74 (step @p589 :rule trans :premises (@p210 @p209)) % 159.48/159.74 (step @p590 :rule cong :premises (@p589) :args ((tptp.s (tptp.div2 @t118)))) % 159.48/159.74 (step @p591 :rule instantiate :premises (@p22) :args ((@list @t118))) % 159.48/159.74 (step @p592 :rule trans :premises (@p591 @p590)) % 159.48/159.74 (step @p593 :rule cong :premises (@p592) :args ((tptp.s (tptp.div2 @t120)))) % 159.48/159.74 (step @p594 :rule instantiate :premises (@p22) :args ((@list @t120))) % 159.48/159.74 (step @p595 :rule trans :premises (@p536 @p535)) % 159.48/159.74 (step @p596 :rule cong :premises (@p595) :args ((tptp.s @t316))) % 159.48/159.74 (step @p597 :rule instantiate :premises (@p19) :args (@t221)) % 159.48/159.74 (step @p598 :rule trans :premises (@p597 @p596)) % 159.48/159.74 (step @p599 :rule cong :premises (@p598) :args (@t285)) % 159.48/159.74 (step @p600 :rule trans :premises (@p599 @p594 @p593)) % 159.48/159.74 (step @p601 :rule trans :premises (@p600 @p588)) % 159.48/159.74 (step @p602 :rule cong :premises (@p601 @p548) :args (@t286)) % 159.48/159.74 (step @p603 :rule trans :premises (@p602 @p546)) % 159.48/159.74 (step @p604 :rule cnf_or_pos :args (@t291)) % 159.48/159.74 (step @p605 :rule reordering :premises (@p604) :args ((or @t283 @t290 (not @t291)))) % 159.48/159.74 (step @p606 :rule chain_m_resolution :premises (@p605 @p603 @p490) :args (@t283 @t110 (@list @t289 @t291))) % 159.48/159.74 (assume-push @p741 @t106) % 159.48/159.74 (assume-push @p742 @t320) % 159.48/159.74 (assume-push @p743 @t321) % 159.48/159.74 (assume-push @p744 @t322) % 159.48/159.74 (assume-push @p745 @t323) % 159.48/159.74 (assume-push @p746 @t324) % 159.48/159.74 (assume-push @p747 @t325) % 159.48/159.74 (assume-push @p748 @t326) % 159.48/159.74 (assume-push @p749 @t131) % 159.48/159.74 (assume-push @p750 @t138) % 159.48/159.74 (assume-push @p751 @t148) % 159.48/159.74 (assume-push @p752 @t327) % 159.48/159.74 (assume-push @p753 @t176) % 159.48/159.74 (assume-push @p754 @t328) % 159.48/159.74 (assume-push @p755 @t329) % 159.48/159.74 (assume-push @p756 @t183) % 159.48/159.74 (assume-push @p757 @t209) % 159.48/159.74 (assume-push @p758 @t330) % 159.48/159.74 (assume-push @p759 @t213) % 159.48/159.74 (assume-push @p760 @t217) % 159.48/159.74 (assume-push @p761 @t224) % 159.48/159.74 (assume-push @p762 @t331) % 159.48/159.74 (assume-push @p763 @t227) % 159.48/159.74 (assume-push @p764 @t271) % 159.48/159.74 (assume-push @p765 @t274) % 159.48/159.74 (assume-push @p766 @t279) % 159.48/159.74 (assume-push @p767 @t283) % 159.48/159.74 (step @p634 :rule symm :premises (@p247)) % 159.48/159.74 (step @p635 :rule refl :args (tptp.nil)) % 159.48/159.74 (step @p636 :rule cong :premises (@p635 @p278) :args (@t206)) % 159.48/159.74 (step @p637 :rule trans :premises (@p636 @p634 @p298 @p553)) % 159.48/159.74 (step @p638 :rule cong :premises (@p221 @p637) :args (@t207)) % 159.48/159.74 (step @p639 :rule trans :premises (@p313 @p638 @p523)) % 159.48/159.74 (step @p640 :rule cong :premises (@p221 @p639) :args (@t222)) % 159.48/159.74 (step @p641 :rule trans :premises (@p344 @p640)) % 159.48/159.74 (step @p642 :rule cong :premises (@p221 @p641) :args (@t226)) % 159.48/159.74 (step @p643 :rule symm :premises (@p34)) % 159.48/159.74 (step @p644 :rule cong :premises (@p643 @p643) :args (@t146)) % 159.48/159.74 (step @p645 :rule trans :premises (@p231 @p644 @p84 @p280)) % 159.48/159.74 (step @p646 :rule cong :premises (@p643 @p645) :args (@t181)) % 159.48/159.74 (step @p647 :rule trans :premises (@p277 @p434)) % 159.48/159.74 (step @p648 :rule cong :premises (@p221 @p647) :args (@t129)) % 159.48/159.74 (step @p649 :rule trans :premises (@p298 @p648)) % 159.48/159.74 (step @p650 :rule cong :premises (@p649) :args (@t281)) % 159.48/159.74 (step @p651 :rule trans :premises (@p650 @p308 @p646 @p115)) % 159.48/159.74 (step @p652 :rule trans :premises (@p651 @p278)) % 159.48/159.74 (step @p653 :rule cong :premises (@p652 @p651) :args (@t282)) % 159.48/159.74 (step @p654 :rule trans :premises (@p606 @p653 @p348 @p642)) % 159.48/159.74 (step @p655 :rule cong :premises (@p221 @p654) :args (@t269)) % 159.48/159.74 (step @p656 :rule symm :premises (@p465)) % 159.48/159.74 (step @p657 :rule refl :args (@t111)) % 159.48/159.74 (step @p658 :rule cong :premises (@p657 @p523) :args (@t212)) % 159.48/159.74 (step @p659 :rule symm :premises (@p326)) % 159.48/159.74 (step @p660 :rule trans :premises (@p650 @p308 @p646)) % 159.48/159.74 (step @p661 :rule cong :premises (@p657 @p660) :args ((tptp.count @t111 @t281))) % 159.48/159.74 (step @p662 :rule symm :premises (@p651)) % 159.48/159.74 (step @p663 :rule cong :premises (@p657 @p662) :args (@t216)) % 159.48/159.74 (step @p664 :rule symm :premises (@p339)) % 159.48/159.74 (step @p665 :rule cong :premises (@p657 @p91) :args ((tptp.count @t111 @t114))) % 159.48/159.74 (step @p666 :rule cong :premises (@p657 @p280) :args (@t175)) % 159.48/159.74 (step @p667 :rule symm :premises (@p245)) % 159.48/159.74 (step @p668 :rule cong :premises (@p657 @p89) :args (@t133)) % 159.48/159.74 (step @p669 :rule trans :premises (@p85 @p151 @p668 @p667 @p666 @p665 @p664 @p663 @p661 @p659 @p658 @p478 @p656 @p452 @p655 @p340 @p445)) % 159.48/159.75 (step-pop @p768 :rule scope :premises (@p669)) % 159.48/159.75 (step-pop @p769 :rule scope :premises (@p768)) % 159.48/159.75 (step-pop @p770 :rule scope :premises (@p769)) % 159.48/159.75 (step-pop @p771 :rule scope :premises (@p770)) % 159.48/159.75 (step-pop @p772 :rule scope :premises (@p771)) % 159.48/159.75 (step-pop @p773 :rule scope :premises (@p772)) % 159.48/159.75 (step-pop @p774 :rule scope :premises (@p773)) % 159.48/159.75 (step-pop @p775 :rule scope :premises (@p774)) % 159.48/159.75 (step-pop @p776 :rule scope :premises (@p775)) % 159.48/159.75 (step-pop @p777 :rule scope :premises (@p776)) % 159.48/159.75 (step-pop @p778 :rule scope :premises (@p777)) % 159.48/159.75 (step-pop @p779 :rule scope :premises (@p778)) % 159.48/159.75 (step-pop @p780 :rule scope :premises (@p779)) % 159.48/159.75 (step-pop @p781 :rule scope :premises (@p780)) % 159.48/159.75 (step-pop @p782 :rule scope :premises (@p781)) % 159.48/159.75 (step-pop @p783 :rule scope :premises (@p782)) % 159.48/159.75 (step-pop @p784 :rule scope :premises (@p783)) % 159.48/159.75 (step-pop @p785 :rule scope :premises (@p784)) % 159.48/159.75 (step-pop @p786 :rule scope :premises (@p785)) % 159.48/159.75 (step-pop @p787 :rule scope :premises (@p786)) % 159.48/159.75 (step-pop @p788 :rule scope :premises (@p787)) % 159.48/159.75 (step-pop @p789 :rule scope :premises (@p788)) % 159.48/159.75 (step-pop @p790 :rule scope :premises (@p789)) % 159.48/159.75 (step-pop @p791 :rule scope :premises (@p790)) % 159.48/159.75 (step-pop @p792 :rule scope :premises (@p791)) % 159.48/159.75 (step-pop @p793 :rule scope :premises (@p792)) % 159.48/159.75 (step-pop @p794 :rule scope :premises (@p793)) % 159.48/159.75 (step @p670 :rule process_scope :premises (@p794) :args (@t125)) % 159.48/159.75 (step @p698 :rule implies_elim :premises (@p670)) % 159.48/159.75 (step @p699 :rule cnf_and_neg :args (@t332)) % 159.48/159.75 (step @p700 :rule resolution :premises (@p699 @p698) :args (true @t332)) % 159.48/159.75 (step @p701 :rule reordering :premises (@p700) :args ((or (not @t106) (not @t320) (not @t321) (not @t322) (not @t323) (not @t324) @t125 (not @t325) (not @t326) (not @t131) (not @t138) (not @t148) (not @t327) (not @t176) (not @t328) (not @t329) (not @t183) (not @t209) (not @t330) (not @t213) (not @t217) (not @t224) (not @t331) (not @t227) (not @t271) (not @t274) (not @t279) (not @t283)))) % 159.48/159.75 (step @p702 false :rule chain_m_resolution :premises (@p701 @p606 @p478 @p465 @p452 @p348 @p344 @p340 @p339 @p326 @p313 @p309 @p308 @p247 @p246 @p245 @p232 @p231 @p151 @p115 @p111 @p91 @p90 @p89 @p85 @p84 @p72 @p43 @p34) :args (false (@list false false false false false false false false false false false false false false false false false false false true false false false false false false false false) (@list @t283 @t279 @t274 @t271 @t227 @t224 @t331 @t217 @t213 @t209 @t330 @t183 @t329 @t328 @t176 @t327 @t148 @t138 @t131 @t125 @t326 @t325 @t324 @t323 @t106 @t322 @t321 @t320))) % 159.48/159.75 ) % 159.48/159.75 % SZS output end Proof % 159.48/159.75 % cvc5 exiting %------------------------------------------------------------------------------