%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE047+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:28:12 AM UTC 2026 % Result : Theorem 266.81s 267.10s % Output : Proof 266.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE047+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n015.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:11:34 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 266.81/267.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 266.81/267.10 --- Run --no-e-matching --full-saturate-quant at 6... % 266.81/267.10 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 266.81/267.10 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 266.81/267.10 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 266.81/267.10 --- Run --trigger-sel=max --full-saturate-quant at 15... % 266.81/267.10 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 266.81/267.10 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 266.81/267.10 --- Run --prenex-quant=none --full-saturate-quant at 30... % 266.81/267.10 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 266.81/267.10 --- Run --relevant-triggers --full-saturate-quant at 30... % 266.81/267.10 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 266.81/267.10 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 266.81/267.10 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 266.81/267.10 % SZS status Theorem % 266.81/267.10 % SZS output start Proof % 266.81/267.10 ( % 266.81/267.10 (declare-sort $$unsorted 0) % 266.81/267.10 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 266.81/267.10 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 266.81/267.10 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 266.81/267.10 (declare-const tptp.zero $$unsorted) % 266.81/267.10 (declare-const tptp.one $$unsorted) % 266.81/267.10 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 266.81/267.10 (define @t1 () (@var "A" $$unsorted)) % 266.81/267.10 (define @t2 () (@var "B" $$unsorted)) % 266.81/267.10 (define @t3 () (tptp.addition @t1 @t2)) % 266.81/267.10 (define @t4 () (@list @t1 @t2)) % 266.81/267.10 (define @t5 () (@var "C" $$unsorted)) % 266.81/267.10 (define @t6 () (tptp.addition @t2 @t5)) % 266.81/267.10 (define @t7 () (@list @t1)) % 266.81/267.10 (define @t8 () (tptp.addition @t1 @t1)) % 266.81/267.10 (define @t9 () (forall @t7 (= @t8 @t1))) % 266.81/267.10 (define @t10 () (tptp.multiplication @t1 @t2)) % 266.81/267.10 (define @t11 () (tptp.multiplication @t2 @t5)) % 266.81/267.10 (define @t12 () (@list @t1 @t2 @t5)) % 266.81/267.10 (define @t13 () (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 266.81/267.10 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 266.81/267.10 (define @t15 () (forall @t7 (= @t14 @t1))) % 266.81/267.10 (define @t16 () (tptp.multiplication tptp.one @t1)) % 266.81/267.10 (define @t17 () (forall @t7 (= @t16 @t1))) % 266.81/267.10 (define @t18 () (tptp.multiplication @t1 @t5)) % 266.81/267.10 (define @t19 () (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t18 @t11)))) % 266.81/267.10 (define @t20 () (tptp.leq @t1 @t2)) % 266.81/267.10 (define @t21 () (= @t20 (= @t3 @t2))) % 266.81/267.10 (define @t22 () (forall @t4 @t21)) % 266.81/267.10 (define @t23 () (tptp.star @t1)) % 266.81/267.10 (define @t24 () (tptp.leq (tptp.multiplication @t23 @t5) @t2)) % 266.81/267.10 (define @t25 () (tptp.addition @t10 @t5)) % 266.81/267.10 (define @t26 () (tptp.leq @t25 @t2)) % 266.81/267.10 (define @t27 () (forall @t12 (=> @t26 @t24))) % 266.81/267.10 (define @t28 () (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)) % 266.81/267.10 (define @t29 () (tptp.leq @t25 @t1)) % 266.81/267.10 (define @t30 () (forall @t12 (=> @t29 @t28))) % 266.81/267.10 (define @t31 () (@var "X1" $$unsorted)) % 266.81/267.10 (define @t32 () (@var "X0" $$unsorted)) % 266.81/267.10 (define @t33 () (tptp.leq (tptp.star (tptp.addition @t32 @t31)) (tptp.multiplication (tptp.star @t32) (tptp.star @t31)))) % 266.81/267.10 (define @t34 () (tptp.leq (tptp.multiplication @t31 @t32) (tptp.multiplication @t32 @t31))) % 266.81/267.10 (define @t35 () (@list @t32 @t31)) % 266.81/267.10 (define @t36 () (forall @t35 (=> @t34 @t33))) % 266.81/267.10 (define @t37 () (not @t36)) % 266.81/267.10 (define @t38 () (forall @t35 (or (not @t34) @t33))) % 266.81/267.10 (define @t39 () (@quantifiers_skolemize @t38 1)) % 266.81/267.10 (define @t40 () (@quantifiers_skolemize @t38 0)) % 266.81/267.10 (define @t41 () (tptp.star @t40)) % 266.81/267.10 (define @t42 () (tptp.multiplication @t41 @t40)) % 266.81/267.10 (define @t43 () (tptp.star @t39)) % 266.81/267.10 (define @t44 () (tptp.multiplication @t43 @t39)) % 266.81/267.10 (define @t45 () (tptp.multiplication @t40 @t41)) % 266.81/267.10 (define @t46 () (tptp.addition tptp.one @t45)) % 266.81/267.10 (define @t47 () (@list @t40)) % 266.81/267.10 (define @t48 () (tptp.addition @t46 @t41)) % 266.81/267.10 (define @t49 () (= @t41 @t48)) % 266.81/267.10 (define @t50 () (tptp.leq @t46 @t41)) % 266.81/267.10 (define @t51 () (= @t50 @t49)) % 266.81/267.10 (define @t52 () (@list false false)) % 266.81/267.10 (define @t53 () (tptp.multiplication @t39 @t43)) % 266.81/267.10 (define @t54 () (tptp.addition tptp.one @t53)) % 266.81/267.10 (define @t55 () (@list @t39)) % 266.81/267.10 (define @t56 () (tptp.addition @t54 @t43)) % 266.81/267.10 (define @t57 () (= @t43 @t56)) % 266.81/267.10 (define @t58 () (tptp.leq @t54 @t43)) % 266.81/267.10 (define @t59 () (= @t58 @t57)) % 266.81/267.10 (define @t60 () (tptp.addition tptp.one @t42)) % 266.81/267.10 (define @t61 () (= @t41 (tptp.addition @t60 @t41))) % 266.81/267.10 (define @t62 () (tptp.leq @t60 @t41)) % 266.81/267.10 (define @t63 () (= @t62 @t61)) % 266.81/267.10 (define @t64 () (tptp.addition tptp.one @t44)) % 266.81/267.10 (define @t65 () (@list @t64 @t43)) % 266.81/267.10 (define @t66 () (tptp.addition @t64 @t43)) % 266.81/267.10 (define @t67 () (= @t43 @t66)) % 266.81/267.10 (define @t68 () (tptp.leq @t64 @t43)) % 266.81/267.10 (define @t69 () (= @t68 @t67)) % 266.81/267.10 (define @t70 () (tptp.multiplication @t41 @t43)) % 266.81/267.10 (define @t71 () (@list @t41)) % 266.81/267.10 (define @t72 () (tptp.star @t41)) % 266.81/267.10 (define @t73 () (@list @t72)) % 266.81/267.10 (define @t74 () (@list @t43)) % 266.81/267.10 (define @t75 () (@list @t41 @t41 @t43)) % 266.81/267.10 (define @t76 () (tptp.addition @t70 @t64)) % 266.81/267.10 (define @t77 () (@list @t43 @t39 @t40)) % 266.81/267.10 (define @t78 () (@list @t41 @t40 tptp.one)) % 266.81/267.10 (define @t79 () (tptp.multiplication @t41 @t44)) % 266.81/267.10 (define @t80 () (tptp.multiplication @t70 @t39)) % 266.81/267.10 (define @t81 () (= @t79 @t80)) % 266.81/267.10 (define @t82 () (@list @t41 @t43 @t39)) % 266.81/267.10 (define @t83 () (= @t80 @t79)) % 266.81/267.10 (define @t84 () (@list false)) % 266.81/267.10 (define @t85 () (@list @t13)) % 266.81/267.10 (define @t86 () (tptp.multiplication @t39 @t40)) % 266.81/267.10 (define @t87 () (tptp.multiplication @t43 @t86)) % 266.81/267.10 (define @t88 () (tptp.multiplication @t44 @t40)) % 266.81/267.10 (define @t89 () (= @t87 @t88)) % 266.81/267.10 (define @t90 () (= @t88 @t87)) % 266.81/267.10 (define @t91 () (tptp.multiplication @t43 @t53)) % 266.81/267.10 (define @t92 () (tptp.multiplication @t44 @t43)) % 266.81/267.10 (define @t93 () (= @t91 @t92)) % 266.81/267.10 (define @t94 () (@list @t43 @t39 @t43)) % 266.81/267.10 (define @t95 () (= @t92 @t91)) % 266.81/267.10 (define @t96 () (tptp.multiplication @t40 @t43)) % 266.81/267.10 (define @t97 () (tptp.multiplication @t40 @t64)) % 266.81/267.10 (define @t98 () (tptp.multiplication @t43 @t40)) % 266.81/267.10 (define @t99 () (@list tptp.one)) % 266.81/267.10 (define @t100 () (tptp.multiplication tptp.one @t41)) % 266.81/267.10 (define @t101 () (@list @t76)) % 266.81/267.10 (define @t102 () (tptp.multiplication @t43 @t43)) % 266.81/267.10 (define @t103 () (tptp.multiplication @t64 @t43)) % 266.81/267.10 (define @t104 () (tptp.addition @t103 @t102)) % 266.81/267.10 (define @t105 () (@list @t104 @t43)) % 266.81/267.10 (define @t106 () (tptp.multiplication tptp.one @t72)) % 266.81/267.10 (define @t107 () (tptp.addition @t40 @t39)) % 266.81/267.10 (define @t108 () (tptp.multiplication @t39 tptp.one)) % 266.81/267.10 (define @t109 () (tptp.multiplication @t43 @t108)) % 266.81/267.10 (define @t110 () (tptp.multiplication @t44 tptp.one)) % 266.81/267.10 (define @t111 () (= @t109 @t110)) % 266.81/267.10 (define @t112 () (@list @t43 @t39 tptp.one)) % 266.81/267.10 (define @t113 () (= @t110 @t109)) % 266.81/267.10 (define @t114 () (tptp.multiplication @t72 @t41)) % 266.81/267.10 (define @t115 () (tptp.multiplication @t76 @t40)) % 266.81/267.10 (define @t116 () (tptp.multiplication @t41 @t41)) % 266.81/267.10 (define @t117 () (@list @t40 @t41 @t41)) % 266.81/267.10 (define @t118 () (tptp.addition @t42 tptp.one)) % 266.81/267.10 (define @t119 () (tptp.leq @t118 @t41)) % 266.81/267.10 (define @t120 () (tptp.leq @t100 @t41)) % 266.81/267.10 (define @t121 () (not @t119)) % 266.81/267.10 (define @t122 () (or @t121 @t120)) % 266.81/267.10 (define @t123 () (tptp.addition tptp.one @t41)) % 266.81/267.10 (define @t124 () (tptp.addition @t41 @t41)) % 266.81/267.10 (define @t125 () (tptp.addition tptp.one @t48)) % 266.81/267.10 (define @t126 () (tptp.addition @t45 @t41)) % 266.81/267.10 (define @t127 () (tptp.leq @t126 @t41)) % 266.81/267.10 (define @t128 () (tptp.leq @t116 @t41)) % 266.81/267.10 (define @t129 () (not @t127)) % 266.81/267.10 (define @t130 () (or @t129 @t128)) % 266.81/267.10 (define @t131 () (= @t41 (tptp.addition @t116 @t41))) % 266.81/267.10 (define @t132 () (= @t128 @t131)) % 266.81/267.10 (define @t133 () (tptp.addition tptp.one @t114)) % 266.81/267.10 (define @t134 () (= @t72 (tptp.addition @t133 @t72))) % 266.81/267.10 (define @t135 () (tptp.leq @t133 @t72)) % 266.81/267.10 (define @t136 () (= @t135 @t134)) % 266.81/267.10 (define @t137 () (tptp.multiplication tptp.one @t39)) % 266.81/267.10 (define @t138 () (tptp.multiplication @t72 @t100)) % 266.81/267.10 (define @t139 () (tptp.multiplication @t72 tptp.one)) % 266.81/267.10 (define @t140 () (tptp.multiplication @t114 @t41)) % 266.81/267.10 (define @t141 () (tptp.multiplication @t72 @t44)) % 266.81/267.10 (define @t142 () (tptp.addition @t44 tptp.one)) % 266.81/267.10 (define @t143 () (tptp.addition @t98 @t44)) % 266.81/267.10 (define @t144 () (tptp.multiplication @t43 @t96)) % 266.81/267.10 (define @t145 () (tptp.multiplication @t98 @t43)) % 266.81/267.10 (define @t146 () (= @t144 @t145)) % 266.81/267.10 (define @t147 () (@list @t43 @t40 @t43)) % 266.81/267.10 (define @t148 () (= @t145 @t144)) % 266.81/267.10 (define @t149 () (tptp.multiplication @t44 @t96)) % 266.81/267.10 (define @t150 () (tptp.multiplication @t88 @t43)) % 266.81/267.10 (define @t151 () (= @t149 @t150)) % 266.81/267.10 (define @t152 () (@list @t44 @t40 @t43)) % 266.81/267.10 (define @t153 () (= @t150 @t149)) % 266.81/267.10 (define @t154 () (tptp.multiplication @t41 @t96)) % 266.81/267.10 (define @t155 () (tptp.multiplication @t42 @t43)) % 266.81/267.10 (define @t156 () (= @t154 @t155)) % 266.81/267.10 (define @t157 () (@list @t41 @t40 @t43)) % 266.81/267.10 (define @t158 () (= @t155 @t154)) % 266.81/267.10 (define @t159 () (tptp.multiplication @t76 @t43)) % 266.81/267.10 (define @t160 () (tptp.addition @t40 @t107)) % 266.81/267.10 (define @t161 () (tptp.multiplication @t40 tptp.one)) % 266.81/267.10 (define @t162 () (tptp.multiplication @t43 tptp.one)) % 266.81/267.10 (define @t163 () (tptp.addition @t40 tptp.one)) % 266.81/267.10 (define @t164 () (tptp.leq @t142 @t43)) % 266.81/267.10 (define @t165 () (tptp.multiplication tptp.one @t43)) % 266.81/267.10 (define @t166 () (tptp.leq @t165 @t43)) % 266.81/267.10 (define @t167 () (not @t164)) % 266.81/267.10 (define @t168 () (or @t167 @t166)) % 266.81/267.10 (define @t169 () (tptp.addition @t54 @t66)) % 266.81/267.10 (define @t170 () (tptp.addition tptp.one tptp.one)) % 266.81/267.10 (define @t171 () (tptp.multiplication @t170 @t43)) % 266.81/267.10 (define @t172 () (tptp.addition @t43 @t43)) % 266.81/267.10 (define @t173 () (tptp.addition @t142 tptp.one)) % 266.81/267.10 (define @t174 () (tptp.addition @t142 @t53)) % 266.81/267.10 (define @t175 () (tptp.addition @t44 @t54)) % 266.81/267.10 (define @t176 () (tptp.addition @t175 @t172)) % 266.81/267.10 (define @t177 () (tptp.addition @t175 @t43)) % 266.81/267.10 (define @t178 () (tptp.addition @t44 @t43)) % 266.81/267.10 (define @t179 () (tptp.leq @t178 @t43)) % 266.81/267.10 (define @t180 () (tptp.leq @t102 @t43)) % 266.81/267.10 (define @t181 () (not @t179)) % 266.81/267.10 (define @t182 () (or @t181 @t180)) % 266.81/267.10 (define @t183 () (tptp.multiplication @t66 @t43)) % 266.81/267.10 (define @t184 () (tptp.leq @t104 @t43)) % 266.81/267.10 (define @t185 () (tptp.addition @t104 @t43)) % 266.81/267.10 (define @t186 () (= @t43 @t185)) % 266.81/267.10 (define @t187 () (= @t184 @t186)) % 266.81/267.10 (define @t188 () (tptp.multiplication @t39 @t96)) % 266.81/267.10 (define @t189 () (tptp.addition @t188 @t86)) % 266.81/267.10 (define @t190 () (tptp.multiplication @t40 @t66)) % 266.81/267.10 (define @t191 () (tptp.addition @t96 @t97)) % 266.81/267.10 (define @t192 () (tptp.addition @t191 @t161)) % 266.81/267.10 (define @t193 () (tptp.multiplication @t40 @t142)) % 266.81/267.10 (define @t194 () (tptp.addition @t193 @t161)) % 266.81/267.10 (define @t195 () (tptp.addition @t188 @t96)) % 266.81/267.10 (define @t196 () (tptp.addition @t162 @t91)) % 266.81/267.10 (define @t197 () (tptp.addition @t43 @t196)) % 266.81/267.10 (define @t198 () (tptp.addition @t165 @t165)) % 266.81/267.10 (define @t199 () (tptp.addition @t53 @t162)) % 266.81/267.10 (define @t200 () (tptp.addition @t53 @t103)) % 266.81/267.10 (define @t201 () (tptp.multiplication @t40 @t103)) % 266.81/267.10 (define @t202 () (tptp.multiplication @t40 @t53)) % 266.81/267.10 (define @t203 () (tptp.addition @t202 @t201)) % 266.81/267.10 (define @t204 () (tptp.multiplication @t40 @t39)) % 266.81/267.10 (define @t205 () (tptp.multiplication @t204 @t43)) % 266.81/267.10 (define @t206 () (tptp.leq @t86 @t204)) % 266.81/267.10 (define @t207 () (tptp.star @t107)) % 266.81/267.10 (define @t208 () (tptp.leq @t207 @t70)) % 266.81/267.10 (define @t209 () (not @t206)) % 266.81/267.10 (define @t210 () (or @t209 @t208)) % 266.81/267.10 (define @t211 () (@list true)) % 266.81/267.10 (define @t212 () (@list @t210)) % 266.81/267.10 (define @t213 () (= @t204 (tptp.addition @t86 @t204))) % 266.81/267.10 (define @t214 () (= @t206 @t213)) % 266.81/267.10 (define @t215 () (= @t96 (tptp.addition @t189 @t96))) % 266.81/267.10 (define @t216 () (tptp.leq @t189 @t96)) % 266.81/267.10 (define @t217 () (= @t216 @t215)) % 266.81/267.10 (define @t218 () (tptp.leq @t87 @t96)) % 266.81/267.10 (define @t219 () (not @t216)) % 266.81/267.10 (define @t220 () (or @t219 @t218)) % 266.81/267.10 (define @t221 () (= @t96 (tptp.addition @t87 @t96))) % 266.81/267.10 (define @t222 () (= @t218 @t221)) % 266.81/267.10 (define @t223 () (tptp.multiplication @t44 @t39)) % 266.81/267.10 (define @t224 () (tptp.addition @t223 @t44)) % 266.81/267.10 (define @t225 () (tptp.addition @t44 @t56)) % 266.81/267.10 (define @t226 () (tptp.addition @t44 @t170)) % 266.81/267.10 (define @t227 () (tptp.addition @t64 tptp.one)) % 266.81/267.10 (define @t228 () (tptp.addition @t227 @t53)) % 266.81/267.10 (define @t229 () (tptp.addition @t54 @t64)) % 266.81/267.10 (define @t230 () (tptp.addition @t229 @t43)) % 266.81/267.10 (define @t231 () (= @t44 (tptp.addition @t224 @t44))) % 266.81/267.10 (define @t232 () (tptp.leq @t224 @t44)) % 266.81/267.10 (define @t233 () (= @t232 @t231)) % 266.81/267.10 (define @t234 () (tptp.leq @t92 @t44)) % 266.81/267.10 (define @t235 () (not @t232)) % 266.81/267.10 (define @t236 () (or @t235 @t234)) % 266.81/267.10 (define @t237 () (tptp.addition @t92 @t44)) % 266.81/267.10 (define @t238 () (= @t44 @t237)) % 266.81/267.10 (define @t239 () (= @t234 @t238)) % 266.81/267.10 (define @t240 () (= @t96 (tptp.addition @t195 @t96))) % 266.81/267.10 (define @t241 () (tptp.leq @t195 @t96)) % 266.81/267.10 (define @t242 () (= @t241 @t240)) % 266.81/267.10 (define @t243 () (tptp.leq @t144 @t96)) % 266.81/267.10 (define @t244 () (not @t241)) % 266.81/267.10 (define @t245 () (or @t244 @t243)) % 266.81/267.10 (define @t246 () (tptp.addition @t144 @t96)) % 266.81/267.10 (define @t247 () (= @t96 @t246)) % 266.81/267.10 (define @t248 () (= @t243 @t247)) % 266.81/267.10 (define @t249 () (tptp.multiplication @t41 @t102)) % 266.81/267.10 (define @t250 () (tptp.multiplication @t70 @t43)) % 266.81/267.10 (define @t251 () (= @t249 @t250)) % 266.81/267.10 (define @t252 () (@list @t41 @t43 @t43)) % 266.81/267.10 (define @t253 () (= @t250 @t249)) % 266.81/267.10 (define @t254 () (tptp.multiplication tptp.one @t40)) % 266.81/267.10 (define @t255 () (tptp.addition @t76 @t43)) % 266.81/267.10 (define @t256 () (tptp.multiplication @t70 @t107)) % 266.81/267.10 (define @t257 () (tptp.addition @t106 @t40)) % 266.81/267.10 (define @t258 () (tptp.addition @t53 @t92)) % 266.81/267.10 (define @t259 () (tptp.multiplication @t72 @t70)) % 266.81/267.10 (define @t260 () (tptp.addition @t70 @t98)) % 266.81/267.10 (define @t261 () (tptp.addition @t260 @t44)) % 266.81/267.10 (define @t262 () (tptp.multiplication @t41 @t98)) % 266.81/267.10 (define @t263 () (tptp.addition @t39 @t44)) % 266.81/267.10 (define @t264 () (tptp.multiplication @t263 @t43)) % 266.81/267.10 (define @t265 () (= @t264 @t258)) % 266.81/267.10 (define @t266 () (@list @t39 @t44 @t43)) % 266.81/267.10 (define @t267 () (= @t258 @t264)) % 266.81/267.10 (define @t268 () (tptp.addition @t256 tptp.one)) % 266.81/267.10 (define @t269 () (tptp.leq (tptp.multiplication tptp.one @t207) @t70)) % 266.81/267.10 (define @t270 () (tptp.leq @t268 @t70)) % 266.81/267.10 (define @t271 () (not @t270)) % 266.81/267.10 (define @t272 () (or @t271 @t269)) % 266.81/267.10 (define @t273 () (@list true false)) % 266.81/267.10 (define @t274 () (= @t70 (tptp.addition @t268 @t70))) % 266.81/267.10 (define @t275 () (= @t270 @t274)) % 266.81/267.10 (define @t276 () (not @t274)) % 266.81/267.10 (define @t277 () (tptp.addition tptp.one @t40)) % 266.81/267.10 (define @t278 () (tptp.addition @t159 tptp.one)) % 266.81/267.10 (define @t279 () (tptp.addition @t170 @t45)) % 266.81/267.10 (define @t280 () (tptp.addition tptp.one @t46)) % 266.81/267.10 (define @t281 () (tptp.addition @t280 @t41)) % 266.81/267.10 (define @t282 () (tptp.addition tptp.one @t100)) % 266.81/267.10 (define @t283 () (tptp.addition @t100 tptp.one)) % 266.81/267.10 (define @t284 () (tptp.multiplication @t283 @t43)) % 266.81/267.10 (define @t285 () (tptp.addition @t70 @t66)) % 266.81/267.10 (define @t286 () (tptp.addition @t64 @t255)) % 266.81/267.10 (define @t287 () (tptp.addition @t64 @t70)) % 266.81/267.10 (define @t288 () (tptp.addition @t64 @t287)) % 266.81/267.10 (define @t289 () (tptp.addition @t43 @t70)) % 266.81/267.10 (define @t290 () (tptp.addition @t70 tptp.one)) % 266.81/267.10 (define @t291 () (tptp.addition @t44 @t162)) % 266.81/267.10 (define @t292 () (tptp.addition @t137 tptp.one)) % 266.81/267.10 (define @t293 () (tptp.addition tptp.one @t39)) % 266.81/267.10 (define @t294 () (tptp.multiplication @t43 @t293)) % 266.81/267.10 (define @t295 () (tptp.addition @t43 @t44)) % 266.81/267.10 (define @t296 () (tptp.addition @t76 @t295)) % 266.81/267.10 (define @t297 () (tptp.addition @t70 @t44)) % 266.81/267.10 (define @t298 () (tptp.addition @t297 tptp.one)) % 266.81/267.10 (define @t299 () (tptp.multiplication @t124 @t43)) % 266.81/267.10 (define @t300 () (tptp.addition @t70 @t70)) % 266.81/267.10 (define @t301 () (= @t76 (tptp.addition @t278 @t76))) % 266.81/267.10 (define @t302 () (tptp.leq @t278 @t76)) % 266.81/267.10 (define @t303 () (= @t302 @t301)) % 266.81/267.10 (define @t304 () (@list @t41 @t64 @t43)) % 266.81/267.10 (define @t305 () (tptp.multiplication @t41 @t64)) % 266.81/267.10 (define @t306 () (tptp.addition @t102 @t162)) % 266.81/267.10 (define @t307 () (tptp.addition @t159 @t70)) % 266.81/267.10 (define @t308 () (tptp.multiplication @t100 @t41)) % 266.81/267.10 (define @t309 () (tptp.addition @t308 @t100)) % 266.81/267.10 (define @t310 () (tptp.multiplication @t116 @t43)) % 266.81/267.10 (define @t311 () (tptp.multiplication @t41 @t255)) % 266.81/267.10 (define @t312 () (tptp.multiplication @t41 @t76)) % 266.81/267.10 (define @t313 () (tptp.leq (tptp.addition @t312 @t70) @t76)) % 266.81/267.10 (define @t314 () (tptp.leq @t259 @t76)) % 266.81/267.10 (define @t315 () (not @t313)) % 266.81/267.10 (define @t316 () (or @t315 @t314)) % 266.81/267.10 (define @t317 () (= @t76 (tptp.addition @t259 @t76))) % 266.81/267.10 (define @t318 () (= @t314 @t317)) % 266.81/267.10 (define @t319 () (tptp.addition @t39 @t40)) % 266.81/267.10 (define @t320 () (= @t107 @t319)) % 266.81/267.10 (define @t321 () (= @t60 @t118)) % 266.81/267.10 (define @t322 () (= @t64 @t142)) % 266.81/267.10 (define @t323 () (tptp.addition @t40 @t40)) % 266.81/267.10 (define @t324 () (tptp.addition @t323 @t39)) % 266.81/267.10 (define @t325 () (= @t160 @t324)) % 266.81/267.10 (define @t326 () (tptp.multiplication @t43 @t107)) % 266.81/267.10 (define @t327 () (= @t326 @t143)) % 266.81/267.10 (define @t328 () (tptp.addition @t43 @t64)) % 266.81/267.10 (define @t329 () (= @t66 @t328)) % 266.81/267.10 (define @t330 () (= @t280 @t279)) % 266.81/267.10 (define @t331 () (= @t169 @t230)) % 266.81/267.10 (define @t332 () (= @t285 @t255)) % 266.81/267.10 (define @t333 () (= @t226 @t173)) % 266.81/267.10 (define @t334 () (tptp.addition @t97 @t96)) % 266.81/267.10 (define @t335 () (= @t190 @t334)) % 266.81/267.10 (define @t336 () (= @t183 @t104)) % 266.81/267.10 (define @t337 () (tptp.addition @t42 @t42)) % 266.81/267.10 (define @t338 () (tptp.multiplication @t124 @t40)) % 266.81/267.10 (define @t339 () (= @t338 @t337)) % 266.81/267.10 (define @t340 () (= @t41 @t124)) % 266.81/267.10 (define @t341 () (= @t40 @t161)) % 266.81/267.10 (define @t342 () (= @t72 @t139)) % 266.81/267.10 (define @t343 () (tptp.multiplication @t41 tptp.one)) % 266.81/267.10 (define @t344 () (= @t41 @t343)) % 266.81/267.10 (define @t345 () (= @t40 @t254)) % 266.81/267.10 (define @t346 () (= @t72 @t106)) % 266.81/267.10 (define @t347 () (= @t41 @t100)) % 266.81/267.10 (define @t348 () (= @t43 @t165)) % 266.81/267.10 (define @t349 () (= @t40 @t323)) % 266.81/267.10 (define @t350 () (= @t299 @t300)) % 266.81/267.10 (define @t351 () (tptp.addition @t115 @t98)) % 266.81/267.10 (define @t352 () (tptp.multiplication @t255 @t40)) % 266.81/267.10 (define @t353 () (= @t352 @t351)) % 266.81/267.10 (define @t354 () (tptp.addition @t44 @t98)) % 266.81/267.10 (define @t355 () (tptp.multiplication @t43 @t319)) % 266.81/267.10 (define @t356 () (= @t355 @t354)) % 266.81/267.10 (define @t357 () (tptp.addition @t98 @t98)) % 266.81/267.10 (define @t358 () (tptp.multiplication @t43 @t323)) % 266.81/267.10 (define @t359 () (= @t358 @t357)) % 266.81/267.10 (define @t360 () (tptp.addition @t42 @t343)) % 266.81/267.10 (define @t361 () (tptp.multiplication @t41 @t163)) % 266.81/267.10 (define @t362 () (= @t361 @t360)) % 266.81/267.10 (define @t363 () (tptp.multiplication @t100 @t43)) % 266.81/267.10 (define @t364 () (= (tptp.multiplication tptp.one @t70) @t363)) % 266.81/267.10 (define @t365 () (= @t334 @t191)) % 266.81/267.10 (define @t366 () (= @t255 (tptp.addition @t43 @t76))) % 266.81/267.10 (define @t367 () (= @t76 @t287)) % 266.81/267.10 (define @t368 () (= @t286 (tptp.addition (tptp.addition @t64 @t76) @t43))) % 266.81/267.10 (define @t369 () (tptp.addition @t70 @t143)) % 266.81/267.10 (define @t370 () (= @t369 @t261)) % 266.81/267.10 (define @t371 () (tptp.addition @t118 @t41)) % 266.81/267.10 (define @t372 () (= (tptp.addition @t42 @t123) @t371)) % 266.81/267.10 (define @t373 () (tptp.multiplication tptp.one tptp.one)) % 266.81/267.10 (define @t374 () (= tptp.one @t373)) % 266.81/267.10 (define @t375 () (= @t43 @t162)) % 266.81/267.10 (define @t376 () (= @t283 @t282)) % 266.81/267.10 (define @t377 () (= @t163 @t277)) % 266.81/267.10 (define @t378 () (= @t125 @t281)) % 266.81/267.10 (define @t379 () (= @t284 (tptp.addition @t363 @t165))) % 266.81/267.10 (define @t380 () (= tptp.one @t170)) % 266.81/267.10 (define @t381 () (= @t76 (tptp.addition @t76 @t76))) % 266.81/267.10 (define @t382 () (tptp.addition @t64 @t64)) % 266.81/267.10 (define @t383 () (= @t288 (tptp.addition @t382 @t70))) % 266.81/267.10 (define @t384 () (tptp.addition @t40 @t96)) % 266.81/267.10 (define @t385 () (tptp.addition @t96 @t40)) % 266.81/267.10 (define @t386 () (= @t385 @t384)) % 266.81/267.10 (define @t387 () (tptp.multiplication @t102 @t39)) % 266.81/267.10 (define @t388 () (tptp.multiplication @t43 @t44)) % 266.81/267.10 (define @t389 () (= @t388 @t387)) % 266.81/267.10 (define @t390 () (= @t64 @t382)) % 266.81/267.10 (define @t391 () (= (tptp.addition @t70 @t142) @t298)) % 266.81/267.10 (define @t392 () (tptp.addition @t70 @t354)) % 266.81/267.10 (define @t393 () (= @t392 (tptp.addition @t297 @t98))) % 266.81/267.10 (define @t394 () (= @t39 @t137)) % 266.81/267.10 (define @t395 () (tptp.multiplication @t76 tptp.one)) % 266.81/267.10 (define @t396 () (= @t76 @t395)) % 266.81/267.10 (define @t397 () (tptp.multiplication @t70 @t40)) % 266.81/267.10 (define @t398 () (= @t262 @t397)) % 266.81/267.10 (define @t399 () (= @t171 @t198)) % 266.81/267.10 (define @t400 () (tptp.addition @t43 @t104)) % 266.81/267.10 (define @t401 () (= @t185 @t400)) % 266.81/267.10 (define @t402 () (tptp.addition @t64 @t54)) % 266.81/267.10 (define @t403 () (= @t402 @t229)) % 266.81/267.10 (define @t404 () (= @t400 (tptp.addition (tptp.addition @t43 @t103) @t102))) % 266.81/267.10 (define @t405 () (tptp.addition @t96 @t98)) % 266.81/267.10 (define @t406 () (= @t405 (tptp.addition @t98 @t96))) % 266.81/267.10 (define @t407 () (tptp.addition @t106 @t163)) % 266.81/267.10 (define @t408 () (= @t407 (tptp.addition @t257 tptp.one))) % 266.81/267.10 (define @t409 () (= (tptp.multiplication @t41 @t326) @t256)) % 266.81/267.10 (define @t410 () (tptp.multiplication @t254 @t43)) % 266.81/267.10 (define @t411 () (tptp.multiplication tptp.one @t96)) % 266.81/267.10 (define @t412 () (= @t411 @t410)) % 266.81/267.10 (define @t413 () (= (tptp.multiplication @t283 @t41) @t309)) % 266.81/267.10 (define @t414 () (tptp.addition @t114 tptp.one)) % 266.81/267.10 (define @t415 () (= @t133 @t414)) % 266.81/267.10 (define @t416 () (= @t257 (tptp.addition @t40 @t106))) % 266.81/267.10 (define @t417 () (tptp.addition @t98 @t115)) % 266.81/267.10 (define @t418 () (= @t351 @t417)) % 266.81/267.10 (define @t419 () (tptp.addition @t138 @t139)) % 266.81/267.10 (define @t420 () (= (tptp.multiplication @t72 @t283) @t419)) % 266.81/267.10 (define @t421 () (= (tptp.multiplication @t43 (tptp.addition @t39 tptp.one)) @t291)) % 266.81/267.10 (define @t422 () (tptp.multiplication tptp.one @t163)) % 266.81/267.10 (define @t423 () (= @t422 (tptp.addition @t254 @t373))) % 266.81/267.10 (define @t424 () (tptp.addition @t115 @t159)) % 266.81/267.10 (define @t425 () (tptp.addition @t40 @t43)) % 266.81/267.10 (define @t426 () (= (tptp.multiplication @t76 @t425) @t424)) % 266.81/267.10 (define @t427 () (tptp.addition tptp.one @t107)) % 266.81/267.10 (define @t428 () (= @t427 (tptp.addition @t277 @t39))) % 266.81/267.10 (define @t429 () (tptp.addition @t100 @t140)) % 266.81/267.10 (define @t430 () (tptp.multiplication @t133 @t41)) % 266.81/267.10 (define @t431 () (= @t430 @t429)) % 266.81/267.10 (define @t432 () (tptp.multiplication tptp.one @t76)) % 266.81/267.10 (define @t433 () (tptp.multiplication @t114 @t76)) % 266.81/267.10 (define @t434 () (tptp.addition @t433 @t432)) % 266.81/267.10 (define @t435 () (= (tptp.multiplication @t414 @t76) @t434)) % 266.81/267.10 (define @t436 () (= @t292 (tptp.addition tptp.one @t137))) % 266.81/267.10 (define @t437 () (= @t39 @t108)) % 266.81/267.10 (define @t438 () (tptp.addition tptp.one @t138)) % 266.81/267.10 (define @t439 () (tptp.addition @t438 @t139)) % 266.81/267.10 (define @t440 () (= (tptp.addition tptp.one @t419) @t439)) % 266.81/267.10 (define @t441 () (= @t259 (tptp.multiplication @t114 @t43))) % 266.81/267.10 (define @t442 () (tptp.addition @t282 @t140)) % 266.81/267.10 (define @t443 () (= (tptp.addition tptp.one @t429) @t442)) % 266.81/267.10 (define @t444 () (tptp.addition @t154 @t262)) % 266.81/267.10 (define @t445 () (= (tptp.multiplication @t41 @t405) @t444)) % 266.81/267.10 (define @t446 () (tptp.addition @t149 @t411)) % 266.81/267.10 (define @t447 () (= (tptp.multiplication @t142 @t96) @t446)) % 266.81/267.10 (define @t448 () (= @t103 (tptp.addition @t165 @t92))) % 266.81/267.10 (define @t449 () (tptp.addition @t141 @t70)) % 266.81/267.10 (define @t450 () (tptp.addition @t449 tptp.one)) % 266.81/267.10 (define @t451 () (= (tptp.addition @t141 @t290) @t450)) % 266.81/267.10 (define @t452 () (= @t175 @t174)) % 266.81/267.10 (define @t453 () (= @t225 @t177)) % 266.81/267.10 (define @t454 () (= (tptp.multiplication @t40 @t173) @t194)) % 266.81/267.10 (define @t455 () (tptp.multiplication @t41 @t143)) % 266.81/267.10 (define @t456 () (tptp.multiplication @t41 @t70)) % 266.81/267.10 (define @t457 () (tptp.addition @t456 @t455)) % 266.81/267.10 (define @t458 () (= (tptp.multiplication @t41 @t369) @t457)) % 266.81/267.10 (define @t459 () (= @t294 (tptp.addition @t162 @t44))) % 266.81/267.10 (define @t460 () (tptp.addition @t53 @t44)) % 266.81/267.10 (define @t461 () (tptp.addition @t44 @t53)) % 266.81/267.10 (define @t462 () (= @t461 @t460)) % 266.81/267.10 (define @t463 () (tptp.addition @t44 @t39)) % 266.81/267.10 (define @t464 () (= @t463 @t263)) % 266.81/267.10 (define @t465 () (tptp.multiplication @t96 @t43)) % 266.81/267.10 (define @t466 () (tptp.multiplication @t40 @t102)) % 266.81/267.10 (define @t467 () (= @t466 @t465)) % 266.81/267.10 (define @t468 () (tptp.multiplication @t41 @t144)) % 266.81/267.10 (define @t469 () (= @t468 (tptp.multiplication @t70 @t96))) % 266.81/267.10 (define @t470 () (tptp.addition @t159 @t115)) % 266.81/267.10 (define @t471 () (= @t424 @t470)) % 266.81/267.10 (define @t472 () (tptp.multiplication @t70 @t160)) % 266.81/267.10 (define @t473 () (tptp.multiplication @t70 tptp.one)) % 266.81/267.10 (define @t474 () (tptp.addition @t473 @t472)) % 266.81/267.10 (define @t475 () (= (tptp.multiplication @t70 (tptp.addition tptp.one @t160)) @t474)) % 266.81/267.10 (define @t476 () (tptp.addition @t395 @t115)) % 266.81/267.10 (define @t477 () (tptp.multiplication @t76 @t277)) % 266.81/267.10 (define @t478 () (= @t477 @t476)) % 266.81/267.10 (define @t479 () (= @t296 (tptp.addition @t255 @t44))) % 266.81/267.10 (define @t480 () (tptp.addition @t115 @t70)) % 266.81/267.10 (define @t481 () (tptp.addition @t480 @t98)) % 266.81/267.10 (define @t482 () (= (tptp.addition @t115 @t260) @t481)) % 266.81/267.10 (define @t483 () (tptp.addition @t98 @t144)) % 266.81/267.10 (define @t484 () (= (tptp.multiplication @t43 @t384) @t483)) % 266.81/267.10 (define @t485 () (= @t402 @t228)) % 266.81/267.10 (define @t486 () (= (tptp.addition @t96 (tptp.addition @t97 @t161)) @t192)) % 266.81/267.10 (define @t487 () (= @t197 (tptp.addition (tptp.addition @t43 @t162) @t91))) % 266.81/267.10 (define @t488 () (tptp.addition @t163 @t39)) % 266.81/267.10 (define @t489 () (tptp.addition @t39 @t163)) % 266.81/267.10 (define @t490 () (= @t489 @t488)) % 266.81/267.10 (define @t491 () (tptp.addition @t43 @t142)) % 266.81/267.10 (define @t492 () (tptp.addition @t491 tptp.one)) % 266.81/267.10 (define @t493 () (= (tptp.addition @t43 @t173) @t492)) % 266.81/267.10 (define @t494 () (tptp.addition @t258 @t44)) % 266.81/267.10 (define @t495 () (tptp.addition @t53 @t237)) % 266.81/267.10 (define @t496 () (= @t495 @t494)) % 266.81/267.10 (define @t497 () (tptp.addition @t88 @t96)) % 266.81/267.10 (define @t498 () (tptp.multiplication @t497 @t43)) % 266.81/267.10 (define @t499 () (= @t498 (tptp.addition @t150 @t465))) % 266.81/267.10 (define @t500 () (tptp.addition @t98 @t246)) % 266.81/267.10 (define @t501 () (= @t500 (tptp.addition @t483 @t96))) % 266.81/267.10 (define @t502 () (tptp.multiplication @t44 @t102)) % 266.81/267.10 (define @t503 () (tptp.addition @t502 @t110)) % 266.81/267.10 (define @t504 () (tptp.addition @t102 tptp.one)) % 266.81/267.10 (define @t505 () (= (tptp.multiplication @t44 @t504) @t503)) % 266.81/267.10 (define @t506 () (tptp.multiplication @t70 @t489)) % 266.81/267.10 (define @t507 () (= @t506 (tptp.addition @t80 (tptp.multiplication @t70 @t163)))) % 266.81/267.10 (define @t508 () (tptp.multiplication @t504 @t39)) % 266.81/267.10 (define @t509 () (= @t508 (tptp.addition @t387 @t137))) % 266.81/267.10 (define @t510 () (tptp.multiplication @t64 @t96)) % 266.81/267.10 (define @t511 () (tptp.addition @t144 @t510)) % 266.81/267.10 (define @t512 () (= (tptp.multiplication @t328 @t96) @t511)) % 266.81/267.10 (define @t513 () (tptp.addition @t155 @t70)) % 266.81/267.10 (define @t514 () (tptp.addition @t42 @t41)) % 266.81/267.10 (define @t515 () (tptp.multiplication @t514 @t43)) % 266.81/267.10 (define @t516 () (= @t515 @t513)) % 266.81/267.10 (define @t517 () (tptp.addition @t254 @t114)) % 266.81/267.10 (define @t518 () (tptp.addition @t517 tptp.one)) % 266.81/267.10 (define @t519 () (= (tptp.addition @t254 @t414) @t518)) % 266.81/267.10 (define @t520 () (tptp.addition @t255 @t268)) % 266.81/267.10 (define @t521 () (= @t520 (tptp.addition (tptp.addition @t255 @t256) tptp.one))) % 266.81/267.10 (define @t522 () (tptp.multiplication @t72 @t361)) % 266.81/267.10 (define @t523 () (= @t522 (tptp.multiplication @t114 @t163))) % 266.81/267.10 (define @t524 () (tptp.multiplication @t41 @t388)) % 266.81/267.10 (define @t525 () (= @t524 (tptp.multiplication @t70 @t44))) % 266.81/267.10 (define @t526 () (tptp.multiplication @t257 @t43)) % 266.81/267.10 (define @t527 () (tptp.multiplication @t526 @t44)) % 266.81/267.10 (define @t528 () (= (tptp.multiplication @t257 @t388) @t527)) % 266.81/267.10 (define @t529 () (tptp.addition @t115 @t513)) % 266.81/267.10 (define @t530 () (= @t529 (tptp.addition (tptp.addition @t115 @t155) @t70))) % 266.81/267.10 (define @t531 () (tptp.addition @t258 @t463)) % 266.81/267.10 (define @t532 () (= @t531 (tptp.addition @t494 @t39))) % 266.81/267.10 (define @t533 () (tptp.addition @t259 @t98)) % 266.81/267.10 (define @t534 () (tptp.addition @t533 @t115)) % 266.81/267.10 (define @t535 () (= (tptp.addition @t259 @t417) @t534)) % 266.81/267.10 (define @t536 () (tptp.addition @t115 @t261)) % 266.81/267.10 (define @t537 () (= @t536 (tptp.addition @t261 @t115))) % 266.81/267.10 (define @t538 () (tptp.addition @t262 @t154)) % 266.81/267.10 (define @t539 () (= @t444 @t538)) % 266.81/267.10 (define @t540 () (tptp.addition @t268 @t255)) % 266.81/267.10 (define @t541 () (= @t520 @t540)) % 266.81/267.10 (define @t542 () (tptp.multiplication @t414 @t277)) % 266.81/267.10 (define @t543 () (= @t542 (tptp.addition (tptp.multiplication @t114 @t277) (tptp.multiplication tptp.one @t277)))) % 266.81/267.10 (define @t544 () (= @t456 @t310)) % 266.81/267.10 (define @t545 () (tptp.addition @t373 @t114)) % 266.81/267.10 (define @t546 () (tptp.multiplication @t72 @t76)) % 266.81/267.10 (define @t547 () (tptp.multiplication @t72 @t277)) % 266.81/267.10 (define @t548 () (tptp.addition @t254 @t72)) % 266.81/267.10 (define @t549 () (tptp.addition @t461 @t39)) % 266.81/267.10 (define @t550 () (and @t320 @t321 @t322 @t325 @t327 @t49 @t57 @t61 @t67 @t329 @t330 @t331 @t332 @t333 @t335 @t336 @t339 @t340 @t341 @t342 @t344 @t345 @t346 @t347 @t348 @t349 @t350 @t353 @t356 @t359 @t362 @t83 @t364 @t90 @t95 @t365 @t366 @t367 @t368 @t370 @t372 @t374 @t375 @t376 @t377 @t378 @t379 @t380 @t381 @t383 @t386 @t389 @t390 @t391 @t393 @t394 @t396 @t398 @t186 @t399 @t401 @t403 @t404 @t406 @t408 @t131 @t134 @t409 @t412 @t113 @t413 @t415 @t416 @t418 @t420 @t421 @t423 @t426 @t428 @t431 @t435 @t436 @t437 @t440 @t441 @t443 @t445 @t317 @t447 @t448 @t451 @t452 @t453 @t454 @t458 @t459 @t221 @t462 @t464 @t148 @t467 @t153 @t238 @t469 @t158 @t471 @t475 @t478 @t479 @t482 @t484 @t485 @t486 @t487 @t490 @t247 @t493 @t496 @t499 @t501 @t505 @t507 @t509 @t512 @t516 @t253 @t519 @t521 @t523 @t525 @t528 @t530 @t532 @t535 @t537 @t539 @t267 @t541 @t543 @t544)) % 266.81/267.10 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 266.81/267.10 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 266.81/267.10 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 266.81/267.10 (assume @p4 @t9) % 266.81/267.10 (assume @p5 @t13) % 266.81/267.10 (assume @p6 @t15) % 266.81/267.10 (assume @p7 @t17) % 266.81/267.10 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t18)))) % 266.81/267.10 (assume @p9 @t19) % 266.81/267.10 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 266.81/267.10 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 266.81/267.10 (assume @p12 @t22) % 266.81/267.10 (assume @p13 (forall @t7 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t23)) @t23))) % 266.81/267.10 (assume @p14 (forall @t7 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t23 @t1)) @t23))) % 266.81/267.10 (assume @p15 @t27) % 266.81/267.10 (assume @p16 @t30) % 266.81/267.10 (assume @p17 @t37) % 266.81/267.10 (assume @p18 true) % 266.81/267.10 (step @p19 :rule instantiate :premises (@p1) :args ((@list @t40 @t39))) % 266.81/267.10 (step @p20 :rule instantiate :premises (@p1) :args ((@list tptp.one @t42))) % 266.81/267.10 (step @p21 :rule instantiate :premises (@p1) :args ((@list tptp.one @t44))) % 266.81/267.10 (step @p22 :rule instantiate :premises (@p2) :args ((@list @t39 @t40 @t40))) % 266.81/267.10 (step @p23 :rule instantiate :premises (@p8) :args ((@list @t43 @t40 @t39))) % 266.81/267.10 (step @p24 :rule eq-symm :args (@t3 @t2)) % 266.81/267.10 (step @p25 :rule refl :args (@t20)) % 266.81/267.10 (step @p26 :rule cong :premises (@p25 @p24) :args (@t21)) % 266.81/267.10 (step @p27 :rule cong :premises (@p26) :args (@t22)) % 266.81/267.10 (step @p28 :rule eq_resolve :premises (@p12 @p27)) % 266.81/267.10 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t46 @t41))) % 266.81/267.10 (step @p30 :rule instantiate :premises (@p13) :args (@t47)) % 266.81/267.10 (step @p31 :rule cnf_equiv_pos1 :args (@t51)) % 266.81/267.10 (step @p32 :rule reordering :premises (@p31) :args ((or (not @t50) @t49 (not @t51)))) % 266.81/267.10 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p29) :args (@t49 @t52 (@list @t50 @t51))) % 266.81/267.10 (step @p34 :rule instantiate :premises (@p28) :args ((@list @t54 @t43))) % 266.81/267.10 (step @p35 :rule instantiate :premises (@p13) :args (@t55)) % 266.81/267.10 (step @p36 :rule cnf_equiv_pos1 :args (@t59)) % 266.81/267.10 (step @p37 :rule reordering :premises (@p36) :args ((or (not @t58) @t57 (not @t59)))) % 266.81/267.10 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34) :args (@t57 @t52 (@list @t58 @t59))) % 266.81/267.10 (step @p39 :rule instantiate :premises (@p28) :args ((@list @t60 @t41))) % 266.81/267.10 (step @p40 :rule instantiate :premises (@p14) :args (@t47)) % 266.81/267.10 (step @p41 :rule cnf_equiv_pos1 :args (@t63)) % 266.81/267.10 (step @p42 :rule reordering :premises (@p41) :args ((or (not @t62) @t61 (not @t63)))) % 266.81/267.10 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p39) :args (@t61 @t52 (@list @t62 @t63))) % 266.81/267.10 (step @p44 :rule instantiate :premises (@p28) :args (@t65)) % 266.81/267.10 (step @p45 :rule instantiate :premises (@p14) :args (@t55)) % 266.81/267.10 (step @p46 :rule cnf_equiv_pos1 :args (@t69)) % 266.81/267.10 (step @p47 :rule reordering :premises (@p46) :args ((or (not @t68) @t67 (not @t69)))) % 266.81/267.10 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44) :args (@t67 @t52 (@list @t68 @t69))) % 266.81/267.10 (step @p49 :rule instantiate :premises (@p1) :args (@t65)) % 266.81/267.10 (step @p50 :rule instantiate :premises (@p2) :args ((@list @t45 tptp.one tptp.one))) % 266.81/267.10 (step @p51 :rule instantiate :premises (@p2) :args ((@list @t43 @t64 @t54))) % 266.81/267.10 (step @p52 :rule instantiate :premises (@p2) :args ((@list @t43 @t64 @t70))) % 266.81/267.10 (step @p53 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.one @t44))) % 266.81/267.10 (step @p54 :rule instantiate :premises (@p8) :args ((@list @t40 @t64 @t43))) % 266.81/267.10 (step @p55 :rule instantiate :premises (@p9) :args ((@list @t64 @t43 @t43))) % 266.81/267.10 (step @p56 :rule instantiate :premises (@p9) :args ((@list @t41 @t41 @t40))) % 266.81/267.10 (step @p57 :rule eq-symm :args (@t8 @t1)) % 266.81/267.10 (step @p58 :rule cong :premises (@p57) :args (@t9)) % 266.81/267.10 (step @p59 :rule eq_resolve :premises (@p4 @p58)) % 266.81/267.10 (step @p60 :rule instantiate :premises (@p59) :args (@t71)) % 266.81/267.10 (step @p61 :rule eq-symm :args (@t14 @t1)) % 266.81/267.10 (step @p62 :rule cong :premises (@p61) :args (@t15)) % 266.81/267.10 (step @p63 :rule eq_resolve :premises (@p6 @p62)) % 266.81/267.10 (step @p64 :rule instantiate :premises (@p63) :args (@t47)) % 266.81/267.10 (step @p65 :rule instantiate :premises (@p63) :args (@t73)) % 266.81/267.10 (step @p66 :rule instantiate :premises (@p63) :args (@t71)) % 266.81/267.10 (step @p67 :rule eq-symm :args (@t16 @t1)) % 266.81/267.10 (step @p68 :rule cong :premises (@p67) :args (@t17)) % 266.81/267.10 (step @p69 :rule eq_resolve :premises (@p7 @p68)) % 266.81/267.10 (step @p70 :rule instantiate :premises (@p69) :args (@t47)) % 266.81/267.10 (step @p71 :rule instantiate :premises (@p69) :args (@t73)) % 266.81/267.10 (step @p72 :rule instantiate :premises (@p69) :args (@t71)) % 266.81/267.10 (step @p73 :rule instantiate :premises (@p69) :args (@t74)) % 266.81/267.10 (step @p74 :rule instantiate :premises (@p59) :args (@t47)) % 266.81/267.10 (step @p75 :rule instantiate :premises (@p9) :args (@t75)) % 266.81/267.10 (step @p76 :rule instantiate :premises (@p9) :args ((@list @t76 @t43 @t40))) % 266.81/267.10 (step @p77 :rule instantiate :premises (@p8) :args (@t77)) % 266.81/267.10 (step @p78 :rule instantiate :premises (@p8) :args ((@list @t43 @t40 @t40))) % 266.81/267.10 (step @p79 :rule instantiate :premises (@p8) :args (@t78)) % 266.81/267.10 (step @p80 :rule eq-symm :args (@t79 @t80)) % 266.81/267.10 (step @p81 :rule refl :args (@t13)) % 266.81/267.10 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t13 @t81))) % 266.81/267.10 (assume-push @p1324 @t13) % 266.81/267.10 (step @p84 :rule instantiate :premises (@p5) :args (@t82)) % 266.81/267.10 (step-pop @p1325 :rule scope :premises (@p84)) % 266.81/267.10 (step @p85 :rule process_scope :premises (@p1325) :args (@t81)) % 266.81/267.10 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 266.81/267.10 (step @p88 :rule implies_elim :premises (@p87)) % 266.81/267.10 (step @p89 :rule chain_m_resolution :premises (@p88 @p5) :args (@t83 @t84 @t85)) % 266.81/267.10 (step @p90 :rule instantiate :premises (@p5) :args ((@list tptp.one @t41 @t43))) % 266.81/267.10 (step @p91 :rule eq-symm :args (@t87 @t88)) % 266.81/267.10 (step @p92 :rule cong :premises (@p81 @p91) :args ((=> @t13 @t89))) % 266.81/267.10 (assume-push @p1326 @t13) % 266.81/267.10 (step @p94 :rule instantiate :premises (@p5) :args (@t77)) % 266.81/267.10 (step-pop @p1327 :rule scope :premises (@p94)) % 266.81/267.10 (step @p95 :rule process_scope :premises (@p1327) :args (@t89)) % 266.81/267.10 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 266.81/267.10 (step @p98 :rule implies_elim :premises (@p97)) % 266.81/267.10 (step @p99 :rule chain_m_resolution :premises (@p98 @p5) :args (@t90 @t84 @t85)) % 266.81/267.10 (step @p100 :rule eq-symm :args (@t91 @t92)) % 266.81/267.10 (step @p101 :rule cong :premises (@p81 @p100) :args ((=> @t13 @t93))) % 266.81/267.10 (assume-push @p1328 @t13) % 266.81/267.10 (step @p103 :rule instantiate :premises (@p5) :args (@t94)) % 266.81/267.10 (step-pop @p1329 :rule scope :premises (@p103)) % 266.81/267.10 (step @p104 :rule process_scope :premises (@p1329) :args (@t93)) % 266.81/267.10 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 266.81/267.10 (step @p107 :rule implies_elim :premises (@p106)) % 266.81/267.10 (step @p108 :rule chain_m_resolution :premises (@p107 @p5) :args (@t95 @t84 @t85)) % 266.81/267.10 (step @p109 :rule instantiate :premises (@p1) :args ((@list @t97 @t96))) % 266.81/267.10 (step @p110 :rule instantiate :premises (@p1) :args ((@list @t76 @t43))) % 266.81/267.10 (step @p111 :rule instantiate :premises (@p1) :args ((@list @t70 @t64))) % 266.81/267.10 (step @p112 :rule instantiate :premises (@p2) :args ((@list @t43 @t76 @t64))) % 266.81/267.10 (step @p113 :rule instantiate :premises (@p2) :args ((@list @t44 @t98 @t70))) % 266.81/267.10 (step @p114 :rule instantiate :premises (@p2) :args ((@list @t41 tptp.one @t42))) % 266.81/267.10 (step @p115 :rule instantiate :premises (@p69) :args (@t99)) % 266.81/267.10 (step @p116 :rule instantiate :premises (@p63) :args (@t74)) % 266.81/267.10 (step @p117 :rule instantiate :premises (@p1) :args ((@list @t100 tptp.one))) % 266.81/267.10 (step @p118 :rule instantiate :premises (@p1) :args ((@list @t40 tptp.one))) % 266.81/267.10 (step @p119 :rule instantiate :premises (@p2) :args ((@list @t41 @t46 tptp.one))) % 266.81/267.10 (step @p120 :rule instantiate :premises (@p9) :args ((@list @t100 tptp.one @t43))) % 266.81/267.10 (step @p121 :rule instantiate :premises (@p59) :args (@t99)) % 266.81/267.10 (step @p122 :rule instantiate :premises (@p59) :args (@t101)) % 266.81/267.10 (step @p123 :rule instantiate :premises (@p2) :args ((@list @t70 @t64 @t64))) % 266.81/267.10 (step @p124 :rule instantiate :premises (@p1) :args ((@list @t96 @t40))) % 266.81/267.10 (step @p125 :rule instantiate :premises (@p5) :args ((@list @t43 @t43 @t39))) % 266.81/267.10 (step @p126 :rule instantiate :premises (@p2) :args ((@list tptp.one @t44 @t70))) % 266.81/267.10 (step @p127 :rule instantiate :premises (@p2) :args ((@list @t98 @t44 @t70))) % 266.81/267.10 (step @p128 :rule instantiate :premises (@p69) :args (@t55)) % 266.81/267.10 (step @p129 :rule instantiate :premises (@p63) :args (@t101)) % 266.81/267.10 (step @p130 :rule instantiate :premises (@p5) :args ((@list @t41 @t43 @t40))) % 266.81/267.10 (step @p131 :rule instantiate :premises (@p9) :args ((@list tptp.one tptp.one @t43))) % 266.81/267.10 (step @p132 :rule instantiate :premises (@p1) :args (@t105)) % 266.81/267.10 (step @p133 :rule instantiate :premises (@p1) :args ((@list @t64 @t54))) % 266.81/267.10 (step @p134 :rule instantiate :premises (@p2) :args ((@list @t102 @t103 @t43))) % 266.81/267.10 (step @p135 :rule instantiate :premises (@p1) :args ((@list @t96 @t98))) % 266.81/267.10 (step @p136 :rule instantiate :premises (@p2) :args ((@list tptp.one @t40 @t106))) % 266.81/267.10 (step @p137 :rule instantiate :premises (@p5) :args ((@list @t41 @t43 @t107))) % 266.81/267.10 (step @p138 :rule instantiate :premises (@p5) :args ((@list tptp.one @t40 @t43))) % 266.81/267.10 (step @p139 :rule eq-symm :args (@t109 @t110)) % 266.81/267.10 (step @p140 :rule cong :premises (@p81 @p139) :args ((=> @t13 @t111))) % 266.81/267.10 (assume-push @p1330 @t13) % 266.81/267.10 (step @p142 :rule instantiate :premises (@p5) :args (@t112)) % 266.81/267.10 (step-pop @p1331 :rule scope :premises (@p142)) % 266.81/267.10 (step @p143 :rule process_scope :premises (@p1331) :args (@t111)) % 266.81/267.10 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 266.81/267.10 (step @p146 :rule implies_elim :premises (@p145)) % 266.81/267.10 (step @p147 :rule chain_m_resolution :premises (@p146 @p5) :args (@t113 @t84 @t85)) % 266.81/267.10 (step @p148 :rule instantiate :premises (@p9) :args ((@list @t100 tptp.one @t41))) % 266.81/267.10 (step @p149 :rule instantiate :premises (@p1) :args ((@list tptp.one @t114))) % 266.81/267.10 (step @p150 :rule instantiate :premises (@p1) :args ((@list @t106 @t40))) % 266.81/267.10 (step @p151 :rule instantiate :premises (@p1) :args ((@list @t115 @t98))) % 266.81/267.10 (step @p152 :rule instantiate :premises (@p8) :args ((@list @t72 @t100 tptp.one))) % 266.81/267.10 (step @p153 :rule instantiate :premises (@p8) :args (@t112)) % 266.81/267.10 (step @p154 :rule instantiate :premises (@p8) :args ((@list tptp.one @t40 tptp.one))) % 266.81/267.10 (step @p155 :rule instantiate :premises (@p8) :args ((@list @t76 @t40 @t43))) % 266.81/267.10 (step @p156 :rule instantiate :premises (@p28) :args ((@list @t116 @t41))) % 266.81/267.10 (step @p157 :rule bool-impl-elim :args (@t26 @t24)) % 266.81/267.10 (step @p158 :rule cong :premises (@p157) :args (@t27)) % 266.81/267.10 (step @p159 :rule eq_resolve :premises (@p15 @p158)) % 266.81/267.10 (step @p160 :rule instantiate :premises (@p159) :args (@t117)) % 266.81/267.10 (step @p161 :rule bool-impl-elim :args (@t29 @t28)) % 266.81/267.10 (step @p162 :rule cong :premises (@p161) :args (@t30)) % 266.81/267.10 (step @p163 :rule eq_resolve :premises (@p16 @p162)) % 266.81/267.10 (step @p164 :rule instantiate :premises (@p163) :args (@t78)) % 266.81/267.10 (step @p165 :rule true_intro :premises (@p40)) % 266.81/267.10 (step @p166 :rule refl :args (@t41)) % 266.81/267.10 (step @p167 :rule symm :premises (@p20)) % 266.81/267.10 (step @p168 :rule 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266.81/267.10 (step @p487 :rule cnf_equiv_pos2 :args (@t233)) % 266.81/267.10 (step @p488 :rule reordering :premises (@p487) :args ((or @t232 (not @t231) (not @t233)))) % 266.81/267.10 (step @p489 :rule chain_m_resolution :premises (@p488 @p486 @p460) :args (@t232 @t52 (@list @t231 @t233))) % 266.81/267.10 (step @p490 :rule cnf_or_pos :args (@t236)) % 266.81/267.10 (step @p491 :rule reordering :premises (@p490) :args ((or @t235 @t234 (not @t236)))) % 266.81/267.10 (step @p492 :rule chain_m_resolution :premises (@p491 @p489 @p459) :args (@t234 @t52 (@list @t232 @t236))) % 266.81/267.10 (step @p493 :rule cnf_equiv_pos1 :args (@t239)) % 266.81/267.10 (step @p494 :rule reordering :premises (@p493) :args ((or (not @t234) @t238 (not @t239)))) % 266.81/267.10 (step @p495 :rule chain_m_resolution :premises (@p494 @p492 @p458) :args (@t238 @t52 (@list @t234 @t239))) % 266.81/267.10 (step @p496 :rule instantiate :premises (@p2) :args ((@list tptp.one @t142 @t43))) % 266.81/267.10 (step @p497 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266.81/267.10 (step-pop @p1620 :rule scope :premises (@p1619)) % 266.81/267.10 (step-pop @p1621 :rule scope :premises (@p1620)) % 266.81/267.10 (step @p1178 :rule process_scope :premises (@p1621) :args (@t274)) % 266.81/267.10 (step @p1319 :rule implies_elim :premises (@p1178)) % 266.81/267.10 (step @p1320 :rule cnf_and_neg :args (@t550)) % 266.81/267.10 (step @p1321 :rule resolution :premises (@p1320 @p1319) :args (true @t550)) % 266.81/267.10 (step @p1322 :rule reordering :premises (@p1321) :args ((or (not @t320) (not @t321) (not @t322) (not @t325) (not @t327) (not @t49) (not @t57) (not @t61) (not @t67) (not @t329) (not @t330) (not @t331) (not @t332) (not @t333) (not @t335) (not @t336) (not @t339) (not @t340) (not @t341) (not @t342) (not @t344) (not @t345) (not @t346) (not @t347) (not @t348) (not @t349) (not @t350) (not @t353) (not @t356) (not @t359) (not @t362) (not @t83) (not @t364) (not @t90) (not @t95) (not @t365) (not @t366) (not @t367) (not @t368) (not @t370) (not @t372) (not @t374) (not @t375) (not @t376) (not @t377) (not @t378) (not @t379) (not @t380) (not @t381) (not @t383) (not @t386) (not @t389) (not @t391) (not @t393) (not @t394) (not @t396) (not @t398) (not @t186) (not @t399) (not @t401) (not @t403) (not @t404) (not @t406) (not @t408) (not @t131) (not @t134) (not @t409) (not @t412) (not @t113) (not @t413) (not @t415) (not @t416) (not @t418) (not @t420) (not @t421) (not @t423) (not @t426) (not @t428) (not @t431) (not @t435) (not @t436) (not @t437) (not @t440) (not @t441) (not @t443) (not @t445) (not @t317) (not @t447) (not @t448) (not @t451) (not @t452) (not @t453) (not @t454) (not @t458) (not @t459) (not @t221) (not @t462) (not @t464) (not @t148) (not @t467) (not @t153) (not @t390) (not @t238) (not @t469) (not @t158) (not @t471) (not @t475) (not @t478) (not @t479) (not @t482) (not @t484) (not @t485) (not @t486) (not @t487) (not @t490) (not @t247) (not @t493) (not @t496) (not @t499) (not @t501) (not @t505) (not @t507) (not @t509) (not @t512) (not @t516) (not @t253) (not @t519) (not @t521) (not @t523) (not @t525) (not @t528) (not @t530) (not @t532) (not @t535) (not @t537) (not @t539) (not @t267) @t274 (not @t541) (not @t543) (not @t544)))) % 266.81/267.12 (step @p1323 false :rule chain_m_resolution :premises (@p1322 @p711 @p571 @p570 @p569 @p568 @p551 @p541 @p540 @p539 @p538 @p537 @p536 @p535 @p534 @p533 @p532 @p531 @p522 @p521 @p520 @p519 @p518 @p517 @p516 @p498 @p497 @p496 @p495 @p457 @p332 @p275 @p274 @p273 @p272 @p271 @p270 @p269 @p268 @p267 @p266 @p265 @p256 @p255 @p254 @p245 @p244 @p235 @p234 @p233 @p232 @p231 @p230 @p229 @p228 @p227 @p226 @p225 @p224 @p223 @p222 @p221 @p220 @p219 @p218 @p217 @p216 @p211 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p99 @p90 @p89 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p66 @p65 @p64 @p60 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p43 @p38 @p33 @p23 @p22 @p21 @p20 @p19) :args (false (@list false false false false true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t317 @t544 @t543 @t541 @t274 @t267 @t539 @t537 @t535 @t532 @t530 @t528 @t525 @t523 @t521 @t519 @t253 @t516 @t512 @t509 @t507 @t505 @t501 @t247 @t499 @t496 @t493 @t238 @t221 @t186 @t490 @t487 @t486 @t485 @t484 @t482 @t479 @t478 @t475 @t471 @t158 @t469 @t390 @t153 @t467 @t148 @t464 @t462 @t459 @t458 @t454 @t453 @t452 @t451 @t448 @t447 @t445 @t443 @t441 @t440 @t437 @t436 @t435 @t431 @t428 @t134 @t131 @t426 @t423 @t421 @t420 @t418 @t416 @t415 @t413 @t113 @t412 @t409 @t408 @t406 @t404 @t403 @t401 @t399 @t398 @t396 @t394 @t393 @t391 @t389 @t386 @t383 @t381 @t380 @t379 @t378 @t377 @t376 @t375 @t374 @t372 @t370 @t368 @t367 @t366 @t365 @t95 @t90 @t364 @t83 @t362 @t359 @t356 @t353 @t350 @t349 @t348 @t347 @t346 @t345 @t344 @t342 @t341 @t340 @t339 @t336 @t335 @t333 @t332 @t331 @t330 @t329 @t67 @t61 @t57 @t49 @t327 @t325 @t322 @t321 @t320))) % 266.81/267.12 ) % 266.81/267.12 % SZS output end Proof % 266.81/267.12 % cvc5 exiting %------------------------------------------------------------------------------