%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL640+1.010 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:13 AM UTC 2026 % Result : Theorem 137.14s 138.93s % Output : Proof 137.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL640+1.010 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n027.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 16:09:43 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 137.14/138.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 137.14/138.93 --- Run --no-e-matching --full-saturate-quant at 6... % 137.14/138.93 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 137.14/138.93 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 137.14/138.93 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 137.14/138.93 --- Run --trigger-sel=max --full-saturate-quant at 15... % 137.14/138.93 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 137.14/138.93 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 137.14/138.93 --- Run --prenex-quant=none --full-saturate-quant at 30... % 137.14/138.93 % SZS status Theorem % 137.14/138.93 % SZS output start Proof % 137.14/138.93 ( % 137.14/138.93 (declare-sort $$unsorted 0) % 137.14/138.93 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 137.14/138.93 (declare-const tptp.p1 (-> $$unsorted Bool)) % 137.14/138.93 (define @t1 () (@var "Y" $$unsorted)) % 137.14/138.93 (define @t2 () (tptp.p1 @t1)) % 137.14/138.93 (define @t3 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t4 () (not (tptp.r1 @t3 @t1))) % 137.14/138.93 (define @t5 () (@list @t1)) % 137.14/138.93 (define @t6 () (forall @t5 (or @t4 @t2))) % 137.14/138.93 (define @t7 () (not @t6)) % 137.14/138.93 (define @t8 () (tptp.p1 @t3)) % 137.14/138.93 (define @t9 () (not (tptp.r1 @t1 @t3))) % 137.14/138.93 (define @t10 () (@list @t3)) % 137.14/138.93 (define @t11 () (forall @t10 (or @t9 @t8))) % 137.14/138.93 (define @t12 () (or @t4 @t11)) % 137.14/138.93 (define @t13 () (forall @t5 @t12)) % 137.14/138.93 (define @t14 () (or @t9 @t13 @t7)) % 137.14/138.93 (define @t15 () (forall @t10 @t14)) % 137.14/138.93 (define @t16 () (not @t2)) % 137.14/138.93 (define @t17 () (or @t4 @t11 @t16)) % 137.14/138.93 (define @t18 () (forall @t5 @t17)) % 137.14/138.93 (define @t19 () (not @t18)) % 137.14/138.93 (define @t20 () (or @t9 @t8 @t19)) % 137.14/138.93 (define @t21 () (forall @t10 @t20)) % 137.14/138.93 (define @t22 () (not @t21)) % 137.14/138.93 (define @t23 () (or @t9 @t7)) % 137.14/138.93 (define @t24 () (forall @t10 @t23)) % 137.14/138.93 (define @t25 () (or @t2 @t24 @t22)) % 137.14/138.93 (define @t26 () (and @t25 @t15)) % 137.14/138.93 (define @t27 () (or @t4 @t26)) % 137.14/138.93 (define @t28 () (forall @t5 @t27)) % 137.14/138.93 (define @t29 () (not @t11)) % 137.14/138.93 (define @t30 () (or @t9 @t6)) % 137.14/138.93 (define @t31 () (forall @t10 @t30)) % 137.14/138.93 (define @t32 () (or @t4 @t31 @t29)) % 137.14/138.93 (define @t33 () (forall @t5 @t32)) % 137.14/138.93 (define @t34 () (not @t8)) % 137.14/138.93 (define @t35 () (or @t9 @t6 @t34)) % 137.14/138.93 (define @t36 () (forall @t10 @t35)) % 137.14/138.93 (define @t37 () (not @t36)) % 137.14/138.93 (define @t38 () (or @t4 @t2 @t37)) % 137.14/138.93 (define @t39 () (forall @t5 @t38)) % 137.14/138.93 (define @t40 () (not @t39)) % 137.14/138.93 (define @t41 () (or @t4 @t29)) % 137.14/138.93 (define @t42 () (forall @t5 @t41)) % 137.14/138.93 (define @t43 () (or @t8 @t42 @t40)) % 137.14/138.93 (define @t44 () (and @t43 @t33)) % 137.14/138.93 (define @t45 () (or @t9 @t44)) % 137.14/138.93 (define @t46 () (forall @t10 @t45)) % 137.14/138.93 (define @t47 () (or @t4 @t46)) % 137.14/138.93 (define @t48 () (forall @t5 @t47)) % 137.14/138.93 (define @t49 () (or @t9 @t28)) % 137.14/138.93 (define @t50 () (forall @t10 @t49)) % 137.14/138.93 (define @t51 () (or @t4 @t50)) % 137.14/138.93 (define @t52 () (forall @t5 @t51)) % 137.14/138.93 (define @t53 () (or @t9 @t48)) % 137.14/138.93 (define @t54 () (forall @t10 @t53)) % 137.14/138.93 (define @t55 () (or @t4 @t54)) % 137.14/138.93 (define @t56 () (forall @t5 @t55)) % 137.14/138.93 (define @t57 () (or @t9 @t52)) % 137.14/138.93 (define @t58 () (forall @t10 @t57)) % 137.14/138.93 (define @t59 () (or @t4 @t58)) % 137.14/138.93 (define @t60 () (forall @t5 @t59)) % 137.14/138.93 (define @t61 () (or @t9 @t6 @t42 @t40)) % 137.14/138.93 (define @t62 () (forall @t10 @t61)) % 137.14/138.93 (define @t63 () (or @t4 @t62)) % 137.14/138.93 (define @t64 () (forall @t5 @t63)) % 137.14/138.93 (define @t65 () (or @t9 @t64)) % 137.14/138.93 (define @t66 () (forall @t10 @t65)) % 137.14/138.93 (define @t67 () (or @t4 @t66)) % 137.14/138.93 (define @t68 () (forall @t5 @t67)) % 137.14/138.93 (define @t69 () (or @t9 @t68)) % 137.14/138.93 (define @t70 () (forall @t10 @t69)) % 137.14/138.93 (define @t71 () (or @t4 @t70)) % 137.14/138.93 (define @t72 () (forall @t5 @t71)) % 137.14/138.93 (define @t73 () (not @t72)) % 137.14/138.93 (define @t74 () (and @t73 @t60 @t56 @t52 @t48 @t28)) % 137.14/138.93 (define @t75 () (not @t74)) % 137.14/138.93 (define @t76 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t77 () (not (tptp.p1 @t76))) % 137.14/138.93 (define @t78 () (forall @t5 (or (not (tptp.r1 @t76 @t1)) @t2))) % 137.14/138.93 (define @t79 () (not (tptp.r1 @t1 @t76))) % 137.14/138.93 (define @t80 () (or @t79 @t78 @t77)) % 137.14/138.93 (define @t81 () (@list @t76)) % 137.14/138.93 (define @t82 () (forall @t81 @t80)) % 137.14/138.93 (define @t83 () (not @t82)) % 137.14/138.93 (define @t84 () (or @t4 @t2 @t83)) % 137.14/138.93 (define @t85 () (forall @t5 @t84)) % 137.14/138.93 (define @t86 () (not @t85)) % 137.14/138.93 (define @t87 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t88 () (tptp.p1 @t87)) % 137.14/138.93 (define @t89 () (@list @t87)) % 137.14/138.93 (define @t90 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t91 () (forall @t5 (or (not (tptp.r1 @t90 @t1)) (forall @t89 (or (not (tptp.r1 @t1 @t87)) @t88)) @t16))) % 137.14/138.93 (define @t92 () (not @t91)) % 137.14/138.93 (define @t93 () (tptp.p1 @t90)) % 137.14/138.93 (define @t94 () (not (tptp.r1 @t1 @t90))) % 137.14/138.93 (define @t95 () (or @t94 @t93 @t92)) % 137.14/138.93 (define @t96 () (@list @t90)) % 137.14/138.93 (define @t97 () (forall @t96 @t95)) % 137.14/138.93 (define @t98 () (or @t4 @t97)) % 137.14/138.93 (define @t99 () (forall @t5 @t98)) % 137.14/138.93 (define @t100 () (or @t99 @t86)) % 137.14/138.93 (define @t101 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t102 () (tptp.p1 @t101)) % 137.14/138.93 (define @t103 () (@list @t101)) % 137.14/138.93 (define @t104 () (not (forall @t103 (or (not (tptp.r1 @t1 @t101)) @t102)))) % 137.14/138.93 (define @t105 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t106 () (forall @t5 (or (not (tptp.r1 @t105 @t1)) @t2))) % 137.14/138.93 (define @t107 () (not (tptp.r1 @t1 @t105))) % 137.14/138.93 (define @t108 () (or @t107 @t106)) % 137.14/138.93 (define @t109 () (@list @t105)) % 137.14/138.93 (define @t110 () (forall @t109 @t108)) % 137.14/138.93 (define @t111 () (or @t4 @t110 @t104)) % 137.14/138.93 (define @t112 () (forall @t5 @t111)) % 137.14/138.93 (define @t113 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t114 () (not (tptp.p1 @t113))) % 137.14/138.93 (define @t115 () (forall @t5 (or (not (tptp.r1 @t113 @t1)) @t2))) % 137.14/138.93 (define @t116 () (not (tptp.r1 @t1 @t113))) % 137.14/138.93 (define @t117 () (or @t116 @t115 @t114)) % 137.14/138.93 (define @t118 () (@list @t113)) % 137.14/138.93 (define @t119 () (forall @t118 @t117)) % 137.14/138.93 (define @t120 () (not @t119)) % 137.14/138.93 (define @t121 () (or @t4 @t2 @t120)) % 137.14/138.93 (define @t122 () (forall @t5 @t121)) % 137.14/138.93 (define @t123 () (not @t122)) % 137.14/138.93 (define @t124 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t125 () (tptp.p1 @t124)) % 137.14/138.93 (define @t126 () (@list @t124)) % 137.14/138.93 (define @t127 () (forall @t5 (or @t4 (not (forall @t126 (or (not (tptp.r1 @t1 @t124)) @t125)))))) % 137.14/138.93 (define @t128 () (or @t8 @t127 @t123)) % 137.14/138.93 (define @t129 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t130 () (tptp.p1 @t129)) % 137.14/138.93 (define @t131 () (not @t130)) % 137.14/138.93 (define @t132 () (not (tptp.r1 @t129 @t1))) % 137.14/138.93 (define @t133 () (forall @t5 (or @t132 @t2))) % 137.14/138.93 (define @t134 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t135 () (tptp.p1 @t134)) % 137.14/138.93 (define @t136 () (@list @t134)) % 137.14/138.93 (define @t137 () (forall @t5 (or @t132 (forall @t136 (or (not (tptp.r1 @t1 @t134)) @t135)) @t16))) % 137.14/138.93 (define @t138 () (not (tptp.r1 @t1 @t129))) % 137.14/138.93 (define @t139 () (or @t138 @t137 (not (or @t133 @t131)))) % 137.14/138.93 (define @t140 () (@list @t129)) % 137.14/138.93 (define @t141 () (forall @t140 @t139)) % 137.14/138.93 (define @t142 () (not @t141)) % 137.14/138.93 (define @t143 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t144 () (tptp.p1 @t143)) % 137.14/138.93 (define @t145 () (@list @t143)) % 137.14/138.93 (define @t146 () (forall @t145 (or (not (tptp.r1 @t1 @t143)) @t144))) % 137.14/138.93 (define @t147 () (or @t4 @t146 @t16 @t142)) % 137.14/138.93 (define @t148 () (forall @t5 @t147)) % 137.14/138.93 (define @t149 () (not @t148)) % 137.14/138.93 (define @t150 () (@var "X" $$unsorted)) % 137.14/138.93 (define @t151 () (not (tptp.p1 @t150))) % 137.14/138.93 (define @t152 () (forall @t5 (or (not (tptp.r1 @t150 @t1)) @t2))) % 137.14/138.93 (define @t153 () (not (tptp.r1 @t1 @t150))) % 137.14/138.93 (define @t154 () (or @t153 @t152 @t151)) % 137.14/138.93 (define @t155 () (@list @t150)) % 137.14/138.93 (define @t156 () (forall @t155 @t154)) % 137.14/138.93 (define @t157 () (not @t156)) % 137.14/138.93 (define @t158 () (or @t4 @t157)) % 137.14/138.93 (define @t159 () (forall @t5 @t158)) % 137.14/138.93 (define @t160 () (or @t6 @t34 @t159 @t149)) % 137.14/138.93 (define @t161 () (and @t160 @t128 @t112 @t100)) % 137.14/138.93 (define @t162 () (or @t9 @t161)) % 137.14/138.93 (define @t163 () (forall @t10 @t162)) % 137.14/138.93 (define @t164 () (or @t4 @t163)) % 137.14/138.93 (define @t165 () (forall @t5 @t164)) % 137.14/138.93 (define @t166 () (or @t9 @t165)) % 137.14/138.93 (define @t167 () (forall @t10 @t166)) % 137.14/138.93 (define @t168 () (or @t4 @t167)) % 137.14/138.93 (define @t169 () (forall @t5 @t168)) % 137.14/138.93 (define @t170 () (or @t9 @t169)) % 137.14/138.93 (define @t171 () (forall @t10 @t170)) % 137.14/138.93 (define @t172 () (or @t4 @t171)) % 137.14/138.93 (define @t173 () (forall @t5 @t172)) % 137.14/138.93 (define @t174 () (not @t173)) % 137.14/138.93 (define @t175 () (or @t9 @t60)) % 137.14/138.93 (define @t176 () (forall @t10 @t175)) % 137.14/138.93 (define @t177 () (or @t4 @t176)) % 137.14/138.93 (define @t178 () (forall @t5 @t177)) % 137.14/138.93 (define @t179 () (not @t178)) % 137.14/138.93 (define @t180 () (or @t9 @t56)) % 137.14/138.93 (define @t181 () (forall @t10 @t180)) % 137.14/138.93 (define @t182 () (or @t4 @t181)) % 137.14/138.93 (define @t183 () (forall @t5 @t182)) % 137.14/138.93 (define @t184 () (or @t9 @t183)) % 137.14/138.93 (define @t185 () (forall @t10 @t184)) % 137.14/138.93 (define @t186 () (or @t4 @t185)) % 137.14/138.93 (define @t187 () (forall @t5 @t186)) % 137.14/138.93 (define @t188 () (not @t187)) % 137.14/138.93 (define @t189 () (or @t9 @t178)) % 137.14/138.93 (define @t190 () (forall @t10 @t189)) % 137.14/138.93 (define @t191 () (or @t4 @t190)) % 137.14/138.93 (define @t192 () (forall @t5 @t191)) % 137.14/138.93 (define @t193 () (not @t192)) % 137.14/138.93 (define @t194 () (or @t193 @t188 @t179 @t174 @t75)) % 137.14/138.93 (define @t195 () (not @t194)) % 137.14/138.93 (define @t196 () (exists @t10 @t195)) % 137.14/138.93 (define @t197 () (@var "BOUND_VARIABLE_7730" $$unsorted)) % 137.14/138.93 (define @t198 () (tptp.p1 @t197)) % 137.14/138.93 (define @t199 () (@var "BOUND_VARIABLE_8692" $$unsorted)) % 137.14/138.93 (define @t200 () (@list @t197)) % 137.14/138.93 (define @t201 () (@var "BOUND_VARIABLE_7715" $$unsorted)) % 137.14/138.93 (define @t202 () (tptp.p1 @t201)) % 137.14/138.93 (define @t203 () (@var "BOUND_VARIABLE_7739" $$unsorted)) % 137.14/138.93 (define @t204 () (@list @t201)) % 137.14/138.93 (define @t205 () (forall @t204 (or (not (tptp.r1 @t203 @t201)) @t202))) % 137.14/138.93 (define @t206 () (@list @t203)) % 137.14/138.93 (define @t207 () (@var "BOUND_VARIABLE_7752" $$unsorted)) % 137.14/138.93 (define @t208 () (not (tptp.p1 @t207))) % 137.14/138.93 (define @t209 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 137.14/138.93 (define @t210 () (tptp.p1 @t209)) % 137.14/138.93 (define @t211 () (@list @t209)) % 137.14/138.93 (define @t212 () (forall @t211 (or (not (tptp.r1 @t207 @t209)) @t210))) % 137.14/138.93 (define @t213 () (@var "BOUND_VARIABLE_8708" $$unsorted)) % 137.14/138.93 (define @t214 () (@list @t207)) % 137.14/138.93 (define @t215 () (not (forall @t214 (or (not (tptp.r1 @t213 @t207)) @t212 @t208)))) % 137.14/138.93 (define @t216 () (tptp.p1 @t213)) % 137.14/138.93 (define @t217 () (@list @t213)) % 137.14/138.93 (define @t218 () (@var "BOUND_VARIABLE_8722" $$unsorted)) % 137.14/138.93 (define @t219 () (and (or @t2 (forall (@list @t218) (or (not (tptp.r1 @t1 @t218)) (not (forall @t200 (or (not (tptp.r1 @t218 @t197)) @t198))))) (not (forall @t217 (or (not (tptp.r1 @t1 @t213)) @t216 @t215)))) (forall (@list @t199) (or (not (tptp.r1 @t1 @t199)) (forall @t206 (or (not (tptp.r1 @t199 @t203)) @t205)) (not (forall @t200 (or (not (tptp.r1 @t199 @t197)) @t198))))))) % 137.14/138.93 (define @t220 () (forall @t5 (or @t4 @t219))) % 137.14/138.93 (define @t221 () (not @t220)) % 137.14/138.93 (define @t222 () (@var "BOUND_VARIABLE_7987" $$unsorted)) % 137.14/138.93 (define @t223 () (tptp.p1 @t222)) % 137.14/138.93 (define @t224 () (@var "BOUND_VARIABLE_8034" $$unsorted)) % 137.14/138.93 (define @t225 () (@list @t222)) % 137.14/138.93 (define @t226 () (not (forall @t225 (or (not (tptp.r1 @t224 @t222)) @t223)))) % 137.14/138.93 (define @t227 () (@var "BOUND_VARIABLE_7972" $$unsorted)) % 137.14/138.93 (define @t228 () (tptp.p1 @t227)) % 137.14/138.93 (define @t229 () (@var "BOUND_VARIABLE_7996" $$unsorted)) % 137.14/138.93 (define @t230 () (@list @t227)) % 137.14/138.93 (define @t231 () (forall @t230 (or (not (tptp.r1 @t229 @t227)) @t228))) % 137.14/138.93 (define @t232 () (@list @t229)) % 137.14/138.93 (define @t233 () (forall @t232 (or (not (tptp.r1 @t224 @t229)) @t231))) % 137.14/138.93 (define @t234 () (@var "BOUND_VARIABLE_8738" $$unsorted)) % 137.14/138.93 (define @t235 () (@list @t224)) % 137.14/138.93 (define @t236 () (@var "BOUND_VARIABLE_8009" $$unsorted)) % 137.14/138.93 (define @t237 () (not (tptp.p1 @t236))) % 137.14/138.93 (define @t238 () (@var "BOUND_VARIABLE_7957" $$unsorted)) % 137.14/138.93 (define @t239 () (tptp.p1 @t238)) % 137.14/138.93 (define @t240 () (@list @t238)) % 137.14/138.93 (define @t241 () (forall @t240 (or (not (tptp.r1 @t236 @t238)) @t239))) % 137.14/138.93 (define @t242 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 137.14/138.93 (define @t243 () (@list @t236)) % 137.14/138.93 (define @t244 () (not (forall @t243 (or (not (tptp.r1 @t242 @t236)) @t241 @t237)))) % 137.14/138.93 (define @t245 () (tptp.p1 @t242)) % 137.14/138.93 (define @t246 () (@list @t242)) % 137.14/138.93 (define @t247 () (@var "BOUND_VARIABLE_8064" $$unsorted)) % 137.14/138.93 (define @t248 () (not (forall @t225 (or (not (tptp.r1 @t247 @t222)) @t223)))) % 137.14/138.93 (define @t249 () (@list @t247)) % 137.14/138.93 (define @t250 () (forall (@list @t234) (or (not (tptp.r1 @t1 @t234)) (and (or (tptp.p1 @t234) (forall @t249 (or (not (tptp.r1 @t234 @t247)) @t248)) (not (forall @t246 (or (not (tptp.r1 @t234 @t242)) @t245 @t244)))) (forall @t235 (or (not (tptp.r1 @t234 @t224)) @t233 @t226)))))) % 137.14/138.93 (define @t251 () (forall @t5 (or @t4 @t250))) % 137.14/138.93 (define @t252 () (not @t251)) % 137.14/138.93 (define @t253 () (@var "BOUND_VARIABLE_7777" $$unsorted)) % 137.14/138.93 (define @t254 () (not (forall @t200 (or (not (tptp.r1 @t253 @t197)) @t198)))) % 137.14/138.93 (define @t255 () (forall @t206 (or (not (tptp.r1 @t253 @t203)) @t205))) % 137.14/138.93 (define @t256 () (@var "BOUND_VARIABLE_7827" $$unsorted)) % 137.14/138.93 (define @t257 () (@list @t253)) % 137.14/138.93 (define @t258 () (@var "BOUND_VARIABLE_7793" $$unsorted)) % 137.14/138.93 (define @t259 () (not (forall @t214 (or (not (tptp.r1 @t258 @t207)) @t212 @t208)))) % 137.14/138.93 (define @t260 () (tptp.p1 @t258)) % 137.14/138.93 (define @t261 () (@list @t258)) % 137.14/138.93 (define @t262 () (@var "BOUND_VARIABLE_7807" $$unsorted)) % 137.14/138.93 (define @t263 () (not (forall @t200 (or (not (tptp.r1 @t262 @t197)) @t198)))) % 137.14/138.93 (define @t264 () (@list @t262)) % 137.14/138.93 (define @t265 () (and (or (tptp.p1 @t256) (forall @t264 (or (not (tptp.r1 @t256 @t262)) @t263)) (not (forall @t261 (or (not (tptp.r1 @t256 @t258)) @t260 @t259)))) (forall @t257 (or (not (tptp.r1 @t256 @t253)) @t255 @t254)))) % 137.14/138.93 (define @t266 () (@var "BOUND_VARIABLE_8763" $$unsorted)) % 137.14/138.93 (define @t267 () (@list @t256)) % 137.14/138.93 (define @t268 () (forall (@list @t266) (or (not (tptp.r1 @t1 @t266)) (forall @t267 (or (not (tptp.r1 @t266 @t256)) @t265))))) % 137.14/138.93 (define @t269 () (forall @t5 (or @t4 @t268))) % 137.14/138.93 (define @t270 () (not @t269)) % 137.14/138.93 (define @t271 () (@var "BOUND_VARIABLE_8084" $$unsorted)) % 137.14/138.93 (define @t272 () (and (or (tptp.p1 @t271) (forall @t249 (or (not (tptp.r1 @t271 @t247)) @t248)) (not (forall @t246 (or (not (tptp.r1 @t271 @t242)) @t245 @t244)))) (forall @t235 (or (not (tptp.r1 @t271 @t224)) @t233 @t226)))) % 137.14/138.93 (define @t273 () (@var "BOUND_VARIABLE_8113" $$unsorted)) % 137.14/138.93 (define @t274 () (@list @t271)) % 137.14/138.93 (define @t275 () (forall @t274 (or (not (tptp.r1 @t273 @t271)) @t272))) % 137.14/138.93 (define @t276 () (@var "BOUND_VARIABLE_8776" $$unsorted)) % 137.14/138.93 (define @t277 () (@list @t273)) % 137.14/138.93 (define @t278 () (forall (@list @t276) (or (not (tptp.r1 @t1 @t276)) (forall @t277 (or (not (tptp.r1 @t276 @t273)) @t275))))) % 137.14/138.93 (define @t279 () (forall @t5 (or @t4 @t278))) % 137.14/138.93 (define @t280 () (not @t279)) % 137.14/138.93 (define @t281 () (@var "BOUND_VARIABLE_7856" $$unsorted)) % 137.14/138.93 (define @t282 () (forall @t267 (or (not (tptp.r1 @t281 @t256)) @t265))) % 137.14/138.93 (define @t283 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 137.14/138.93 (define @t284 () (@list @t281)) % 137.14/138.93 (define @t285 () (forall @t284 (or (not (tptp.r1 @t283 @t281)) @t282))) % 137.14/138.93 (define @t286 () (@var "BOUND_VARIABLE_8789" $$unsorted)) % 137.14/138.93 (define @t287 () (@list @t283)) % 137.14/138.93 (define @t288 () (forall (@list @t286) (or (not (tptp.r1 @t1 @t286)) (forall @t287 (or (not (tptp.r1 @t286 @t283)) @t285))))) % 137.14/138.93 (define @t289 () (forall @t5 (or @t4 @t288))) % 137.14/138.93 (define @t290 () (not @t289)) % 137.14/138.93 (define @t291 () (@var "BOUND_VARIABLE_8535" $$unsorted)) % 137.14/138.93 (define @t292 () (not (tptp.p1 @t291))) % 137.14/138.93 (define @t293 () (forall @t240 (or (not (tptp.r1 @t291 @t238)) @t239))) % 137.14/138.93 (define @t294 () (@var "BOUND_VARIABLE_8567" $$unsorted)) % 137.14/138.93 (define @t295 () (@list @t291)) % 137.14/138.93 (define @t296 () (not (forall @t295 (or (not (tptp.r1 @t294 @t291)) @t293 @t292)))) % 137.14/138.93 (define @t297 () (tptp.p1 @t294)) % 137.14/138.93 (define @t298 () (@var "BOUND_VARIABLE_8607" $$unsorted)) % 137.14/138.93 (define @t299 () (@list @t294)) % 137.14/138.93 (define @t300 () (not (forall @t299 (or (not (tptp.r1 @t298 @t294)) @t297 @t296)))) % 137.14/138.93 (define @t301 () (@var "BOUND_VARIABLE_8552" $$unsorted)) % 137.14/138.93 (define @t302 () (tptp.p1 @t301)) % 137.14/138.93 (define @t303 () (@var "BOUND_VARIABLE_8581" $$unsorted)) % 137.14/138.93 (define @t304 () (@list @t301)) % 137.14/138.93 (define @t305 () (not (forall @t304 (or (not (tptp.r1 @t303 @t301)) @t302)))) % 137.14/138.93 (define @t306 () (@list @t303)) % 137.14/138.93 (define @t307 () (forall @t306 (or (not (tptp.r1 @t298 @t303)) @t305))) % 137.14/138.93 (define @t308 () (@var "BOUND_VARIABLE_8593" $$unsorted)) % 137.14/138.93 (define @t309 () (tptp.p1 @t308)) % 137.14/138.93 (define @t310 () (@list @t308)) % 137.14/138.93 (define @t311 () (forall @t310 (or (not (tptp.r1 @t298 @t308)) @t309))) % 137.14/138.93 (define @t312 () (@var "BOUND_VARIABLE_8633" $$unsorted)) % 137.14/138.93 (define @t313 () (@list @t298)) % 137.14/138.93 (define @t314 () (forall @t313 (or (not (tptp.r1 @t312 @t298)) @t311 @t307 @t300))) % 137.14/138.93 (define @t315 () (@var "BOUND_VARIABLE_8650" $$unsorted)) % 137.14/138.93 (define @t316 () (@list @t312)) % 137.14/138.93 (define @t317 () (forall @t316 (or (not (tptp.r1 @t315 @t312)) @t314))) % 137.14/138.93 (define @t318 () (@var "BOUND_VARIABLE_8667" $$unsorted)) % 137.14/138.93 (define @t319 () (@list @t315)) % 137.14/138.93 (define @t320 () (forall @t319 (or (not (tptp.r1 @t318 @t315)) @t317))) % 137.14/138.93 (define @t321 () (@var "BOUND_VARIABLE_8802" $$unsorted)) % 137.14/138.93 (define @t322 () (@list @t318)) % 137.14/138.93 (define @t323 () (forall @t322 (or (not (tptp.r1 @t321 @t318)) @t320))) % 137.14/138.93 (define @t324 () (@list @t321)) % 137.14/138.93 (define @t325 () (forall @t324 (or (not (tptp.r1 @t1 @t321)) @t323))) % 137.14/138.93 (define @t326 () (forall @t5 (or @t4 @t325))) % 137.14/138.93 (define @t327 () (@var "BOUND_VARIABLE_8293" $$unsorted)) % 137.14/138.93 (define @t328 () (forall (@list @t327) (or (not (tptp.r1 @t76 @t327)) (tptp.p1 @t327)))) % 137.14/138.93 (define @t329 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 137.14/138.93 (define @t330 () (not (forall @t81 (or (not (tptp.r1 @t329 @t76)) @t328 @t77)))) % 137.14/138.93 (define @t331 () (tptp.p1 @t329)) % 137.14/138.93 (define @t332 () (@var "BOUND_VARIABLE_8429" $$unsorted)) % 137.14/138.93 (define @t333 () (@list @t329)) % 137.14/138.93 (define @t334 () (@var "BOUND_VARIABLE_8275" $$unsorted)) % 137.14/138.93 (define @t335 () (not (forall (@list @t334) (or (not (tptp.r1 @t90 @t334)) (forall @t89 (or (not (tptp.r1 @t334 @t87)) @t88)) (not (tptp.p1 @t334)))))) % 137.14/138.93 (define @t336 () (@var "BOUND_VARIABLE_8327" $$unsorted)) % 137.14/138.93 (define @t337 () (forall @t96 (or (not (tptp.r1 @t336 @t90)) @t93 @t335))) % 137.14/138.93 (define @t338 () (@list @t336)) % 137.14/138.93 (define @t339 () (@var "BOUND_VARIABLE_8339" $$unsorted)) % 137.14/138.93 (define @t340 () (not (forall @t103 (or (not (tptp.r1 @t339 @t101)) @t102)))) % 137.14/138.93 (define @t341 () (@var "BOUND_VARIABLE_8263" $$unsorted)) % 137.14/138.93 (define @t342 () (tptp.p1 @t341)) % 137.14/138.93 (define @t343 () (@list @t341)) % 137.14/138.93 (define @t344 () (forall @t343 (or (not (tptp.r1 @t105 @t341)) @t342))) % 137.14/138.93 (define @t345 () (forall @t109 (or (not (tptp.r1 @t339 @t105)) @t344))) % 137.14/138.93 (define @t346 () (@list @t339)) % 137.14/138.93 (define @t347 () (@var "BOUND_VARIABLE_8248" $$unsorted)) % 137.14/138.93 (define @t348 () (forall (@list @t347) (or (not (tptp.r1 @t113 @t347)) (tptp.p1 @t347)))) % 137.14/138.93 (define @t349 () (@var "BOUND_VARIABLE_8355" $$unsorted)) % 137.14/138.93 (define @t350 () (not (forall @t118 (or (not (tptp.r1 @t349 @t113)) @t348 @t114)))) % 137.14/138.93 (define @t351 () (tptp.p1 @t349)) % 137.14/138.93 (define @t352 () (@list @t349)) % 137.14/138.93 (define @t353 () (@var "BOUND_VARIABLE_8369" $$unsorted)) % 137.14/138.93 (define @t354 () (not (forall @t126 (or (not (tptp.r1 @t353 @t124)) @t125)))) % 137.14/138.93 (define @t355 () (@list @t353)) % 137.14/138.93 (define @t356 () (tptp.p1 @t332)) % 137.14/138.93 (define @t357 () (@var "BOUND_VARIABLE_8218" $$unsorted)) % 137.14/138.93 (define @t358 () (tptp.p1 @t357)) % 137.14/138.93 (define @t359 () (@list @t357)) % 137.14/138.93 (define @t360 () (and (not (forall @t359 (or (not (tptp.r1 @t129 @t357)) @t358))) @t130)) % 137.14/138.93 (define @t361 () (@var "BOUND_VARIABLE_8228" $$unsorted)) % 137.14/138.93 (define @t362 () (not (tptp.p1 @t361))) % 137.14/138.93 (define @t363 () (forall @t136 (or (not (tptp.r1 @t361 @t134)) @t135))) % 137.14/138.93 (define @t364 () (@list @t361)) % 137.14/138.93 (define @t365 () (forall @t364 (or (not (tptp.r1 @t129 @t361)) @t363 @t362))) % 137.14/138.93 (define @t366 () (@var "BOUND_VARIABLE_8382" $$unsorted)) % 137.14/138.93 (define @t367 () (not (forall @t140 (or (not (tptp.r1 @t366 @t129)) @t365 @t360)))) % 137.14/138.93 (define @t368 () (not (tptp.p1 @t366))) % 137.14/138.93 (define @t369 () (forall @t145 (or (not (tptp.r1 @t366 @t143)) @t144))) % 137.14/138.93 (define @t370 () (@list @t366)) % 137.14/138.93 (define @t371 () (@var "BOUND_VARIABLE_8198" $$unsorted)) % 137.14/138.93 (define @t372 () (forall (@list @t371) (or (not (tptp.r1 @t150 @t371)) (tptp.p1 @t371)))) % 137.14/138.93 (define @t373 () (@var "BOUND_VARIABLE_8401" $$unsorted)) % 137.14/138.93 (define @t374 () (not (forall @t155 (or (not (tptp.r1 @t373 @t150)) @t372 @t151)))) % 137.14/138.93 (define @t375 () (@list @t373)) % 137.14/138.93 (define @t376 () (@var "BOUND_VARIABLE_8413" $$unsorted)) % 137.14/138.93 (define @t377 () (tptp.p1 @t376)) % 137.14/138.93 (define @t378 () (@list @t376)) % 137.14/138.93 (define @t379 () (and (or (forall @t378 (or (not (tptp.r1 @t332 @t376)) @t377)) (not @t356) (forall @t375 (or (not (tptp.r1 @t332 @t373)) @t374)) (not (forall @t370 (or (not (tptp.r1 @t332 @t366)) @t369 @t368 @t367)))) (or @t356 (forall @t355 (or (not (tptp.r1 @t332 @t353)) @t354)) (not (forall @t352 (or (not (tptp.r1 @t332 @t349)) @t351 @t350)))) (forall @t346 (or (not (tptp.r1 @t332 @t339)) @t345 @t340)) (or (forall @t338 (or (not (tptp.r1 @t332 @t336)) @t337)) (not (forall @t333 (or (not (tptp.r1 @t332 @t329)) @t331 @t330)))))) % 137.14/138.93 (define @t380 () (@var "BOUND_VARIABLE_8483" $$unsorted)) % 137.14/138.93 (define @t381 () (@list @t332)) % 137.14/138.93 (define @t382 () (forall @t381 (or (not (tptp.r1 @t380 @t332)) @t379))) % 137.14/138.93 (define @t383 () (@var "BOUND_VARIABLE_8500" $$unsorted)) % 137.14/138.93 (define @t384 () (@list @t380)) % 137.14/138.93 (define @t385 () (forall @t384 (or (not (tptp.r1 @t383 @t380)) @t382))) % 137.14/138.93 (define @t386 () (@var "BOUND_VARIABLE_8517" $$unsorted)) % 137.14/138.93 (define @t387 () (@list @t383)) % 137.14/138.93 (define @t388 () (forall @t387 (or (not (tptp.r1 @t386 @t383)) @t385))) % 137.14/138.93 (define @t389 () (@var "BOUND_VARIABLE_8818" $$unsorted)) % 137.14/138.93 (define @t390 () (@list @t386)) % 137.14/138.93 (define @t391 () (forall @t390 (or (not (tptp.r1 @t389 @t386)) @t388))) % 137.14/138.93 (define @t392 () (@list @t389)) % 137.14/138.93 (define @t393 () (forall @t392 (or (not (tptp.r1 @t1 @t389)) @t391))) % 137.14/138.93 (define @t394 () (not (forall @t5 (or @t4 @t393)))) % 137.14/138.93 (define @t395 () (@var "BOUND_VARIABLE_7890" $$unsorted)) % 137.14/138.93 (define @t396 () (forall @t287 (or (not (tptp.r1 @t395 @t283)) @t285))) % 137.14/138.93 (define @t397 () (@var "BOUND_VARIABLE_7907" $$unsorted)) % 137.14/138.93 (define @t398 () (@list @t395)) % 137.14/138.93 (define @t399 () (forall @t398 (or (not (tptp.r1 @t397 @t395)) @t396))) % 137.14/138.93 (define @t400 () (@var "BOUND_VARIABLE_8832" $$unsorted)) % 137.14/138.93 (define @t401 () (@list @t397)) % 137.14/138.93 (define @t402 () (forall (@list @t400) (or (not (tptp.r1 @t1 @t400)) (forall @t401 (or (not (tptp.r1 @t400 @t397)) @t399))))) % 137.14/138.93 (define @t403 () (not (forall @t5 (or @t4 @t402)))) % 137.14/138.93 (define @t404 () (@var "BOUND_VARIABLE_8130" $$unsorted)) % 137.14/138.93 (define @t405 () (forall @t277 (or (not (tptp.r1 @t404 @t273)) @t275))) % 137.14/138.93 (define @t406 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 137.14/138.93 (define @t407 () (@list @t404)) % 137.14/138.93 (define @t408 () (forall @t407 (or (not (tptp.r1 @t406 @t404)) @t405))) % 137.14/138.93 (define @t409 () (@var "BOUND_VARIABLE_8164" $$unsorted)) % 137.14/138.93 (define @t410 () (@list @t406)) % 137.14/138.93 (define @t411 () (forall @t410 (or (not (tptp.r1 @t409 @t406)) @t408))) % 137.14/138.93 (define @t412 () (@var "BOUND_VARIABLE_8181" $$unsorted)) % 137.14/138.93 (define @t413 () (@list @t409)) % 137.14/138.93 (define @t414 () (forall @t413 (or (not (tptp.r1 @t412 @t409)) @t411))) % 137.14/138.93 (define @t415 () (@var "BOUND_VARIABLE_8846" $$unsorted)) % 137.14/138.93 (define @t416 () (@list @t412)) % 137.14/138.93 (define @t417 () (forall (@list @t415) (or (not (tptp.r1 @t1 @t415)) (forall @t416 (or (not (tptp.r1 @t415 @t412)) @t414))))) % 137.14/138.93 (define @t418 () (not (forall @t5 (or @t4 @t417)))) % 137.14/138.93 (define @t419 () (@var "BOUND_VARIABLE_7924" $$unsorted)) % 137.14/138.93 (define @t420 () (forall @t401 (or (not (tptp.r1 @t419 @t397)) @t399))) % 137.14/138.93 (define @t421 () (@var "BOUND_VARIABLE_7941" $$unsorted)) % 137.14/138.93 (define @t422 () (@list @t419)) % 137.14/138.93 (define @t423 () (forall @t422 (or (not (tptp.r1 @t421 @t419)) @t420))) % 137.14/138.93 (define @t424 () (@var "BOUND_VARIABLE_8860" $$unsorted)) % 137.14/138.93 (define @t425 () (@list @t421)) % 137.14/138.93 (define @t426 () (forall (@list @t424) (or (not (tptp.r1 @t1 @t424)) (forall @t425 (or (not (tptp.r1 @t424 @t421)) @t423))))) % 137.14/138.93 (define @t427 () (not (forall @t5 (or @t4 @t426)))) % 137.14/138.93 (define @t428 () (or @t427 @t418 @t403 @t394 @t326 @t290 @t280 @t270 @t252 @t221)) % 137.14/138.93 (define @t429 () (not @t326)) % 137.14/138.93 (define @t430 () (not @t429)) % 137.14/138.93 (define @t431 () (or @t430 @t290 @t280 @t270 @t252 @t221)) % 137.14/138.93 (define @t432 () (or @t427 @t418 @t403 @t394 (not (and @t429 @t289 @t279 @t269 @t251 @t220)))) % 137.14/138.93 (define @t433 () (not (forall @t200 (or (not (tptp.r1 @t3 @t197)) @t198)))) % 137.14/138.93 (define @t434 () (forall @t10 (or @t9 (forall @t206 (or (not (tptp.r1 @t3 @t203)) @t205)) @t433))) % 137.14/138.93 (define @t435 () (@list @t3)) % 137.14/138.93 (define @t436 () (forall @t10 (or @t9 @t8 (not (forall @t214 (or (not (tptp.r1 @t3 @t207)) @t212 @t208)))))) % 137.14/138.93 (define @t437 () (not @t436)) % 137.14/138.93 (define @t438 () (forall @t10 (or @t9 @t433))) % 137.14/138.93 (define @t439 () (or @t2 @t438 @t437)) % 137.14/138.93 (define @t440 () (and @t439 @t434)) % 137.14/138.93 (define @t441 () (or @t4 @t440)) % 137.14/138.93 (define @t442 () (forall @t5 @t441)) % 137.14/138.93 (define @t443 () (forall @t10 (or @t9 (and (or @t8 (forall @t249 (or (not (tptp.r1 @t3 @t247)) @t248)) (not (forall @t246 (or (not (tptp.r1 @t3 @t242)) @t245 @t244)))) (forall @t235 (or (not (tptp.r1 @t3 @t224)) @t233 @t226)))))) % 137.14/138.93 (define @t444 () (or @t4 @t443)) % 137.14/138.93 (define @t445 () (forall @t5 @t444)) % 137.14/138.93 (define @t446 () (forall @t10 (or @t9 (forall @t267 (or (not (tptp.r1 @t3 @t256)) @t265))))) % 137.14/138.93 (define @t447 () (or @t4 @t446)) % 137.14/138.93 (define @t448 () (forall @t5 @t447)) % 137.14/138.93 (define @t449 () (forall @t10 (or @t9 (forall @t277 (or (not (tptp.r1 @t3 @t273)) @t275))))) % 137.14/138.93 (define @t450 () (or @t4 @t449)) % 137.14/138.93 (define @t451 () (forall @t5 @t450)) % 137.14/138.93 (define @t452 () (forall @t10 (or @t9 (forall @t287 (or (not (tptp.r1 @t3 @t283)) @t285))))) % 137.14/138.93 (define @t453 () (or @t4 @t452)) % 137.14/138.93 (define @t454 () (forall @t5 @t453)) % 137.14/138.93 (define @t455 () (forall @t10 (or @t9 (forall @t322 (or (not (tptp.r1 @t3 @t318)) @t320))))) % 137.14/138.93 (define @t456 () (or @t4 @t455)) % 137.14/138.93 (define @t457 () (forall @t5 @t456)) % 137.14/138.93 (define @t458 () (not @t457)) % 137.14/138.93 (define @t459 () (and @t458 @t454 @t451 @t448 @t445 @t442)) % 137.14/138.93 (define @t460 () (not @t459)) % 137.14/138.93 (define @t461 () (forall @t10 (or @t9 (forall @t390 (or (not (tptp.r1 @t3 @t386)) @t388))))) % 137.14/138.93 (define @t462 () (or @t4 @t461)) % 137.14/138.93 (define @t463 () (forall @t5 @t462)) % 137.14/138.93 (define @t464 () (not @t463)) % 137.14/138.93 (define @t465 () (forall @t10 (or @t9 (forall @t401 (or (not (tptp.r1 @t3 @t397)) @t399))))) % 137.14/138.93 (define @t466 () (or @t4 @t465)) % 137.14/138.93 (define @t467 () (forall @t5 @t466)) % 137.14/138.93 (define @t468 () (not @t467)) % 137.14/138.93 (define @t469 () (forall @t10 (or @t9 (forall @t416 (or (not (tptp.r1 @t3 @t412)) @t414))))) % 137.14/138.93 (define @t470 () (or @t4 @t469)) % 137.14/138.93 (define @t471 () (forall @t5 @t470)) % 137.14/138.93 (define @t472 () (not @t471)) % 137.14/138.93 (define @t473 () (forall @t10 (or @t9 (forall @t425 (or (not (tptp.r1 @t3 @t421)) @t423))))) % 137.14/138.93 (define @t474 () (or @t4 @t473)) % 137.14/138.93 (define @t475 () (forall @t5 @t474)) % 137.14/138.93 (define @t476 () (not @t475)) % 137.14/138.93 (define @t477 () (or @t476 @t472 @t468 @t464 @t460)) % 137.14/138.93 (define @t478 () (not @t477)) % 137.14/138.93 (define @t479 () (forall @t10 (not @t478))) % 137.14/138.93 (define @t480 () (not @t479)) % 137.14/138.93 (define @t481 () (@list @t1)) % 137.14/138.93 (define @t482 () (forall @t5 (or @t4 (forall @t204 (or (not (tptp.r1 @t1 @t201)) @t202))))) % 137.14/138.93 (define @t483 () (or @t9 @t482 @t7)) % 137.14/138.93 (define @t484 () (forall @t10 @t483)) % 137.14/138.93 (define @t485 () (forall @t5 (or @t4 (forall @t211 (or (not (tptp.r1 @t1 @t209)) @t210)) @t16))) % 137.14/138.93 (define @t486 () (not @t485)) % 137.14/138.93 (define @t487 () (or @t9 @t8 @t486)) % 137.14/138.93 (define @t488 () (forall @t10 @t487)) % 137.14/138.93 (define @t489 () (not @t488)) % 137.14/138.93 (define @t490 () (or @t2 @t24 @t489)) % 137.14/138.93 (define @t491 () (and @t490 @t484)) % 137.14/138.93 (define @t492 () (or @t4 @t491)) % 137.14/138.93 (define @t493 () (not (forall @t225 (or (not (tptp.r1 @t1 @t222)) @t223)))) % 137.14/138.93 (define @t494 () (forall @t5 (or @t4 (forall @t232 (or (not (tptp.r1 @t1 @t229)) @t231)) @t493))) % 137.14/138.93 (define @t495 () (forall @t5 (or @t4 @t2 (not (forall @t243 (or (not (tptp.r1 @t1 @t236)) @t241 @t237)))))) % 137.14/138.93 (define @t496 () (not @t495)) % 137.14/138.93 (define @t497 () (forall @t5 (or @t4 @t493))) % 137.14/138.93 (define @t498 () (or @t8 @t497 @t496)) % 137.14/138.93 (define @t499 () (and @t498 @t494)) % 137.14/138.93 (define @t500 () (or @t9 @t499)) % 137.14/138.93 (define @t501 () (forall @t10 @t500)) % 137.14/138.93 (define @t502 () (or @t4 @t501)) % 137.14/138.93 (define @t503 () (forall @t10 (or @t9 (forall @t230 (or (not (tptp.r1 @t3 @t227)) @t228))))) % 137.14/138.93 (define @t504 () (or @t4 @t503 @t29)) % 137.14/138.93 (define @t505 () (forall @t5 @t504)) % 137.14/138.93 (define @t506 () (forall @t10 (or @t9 (forall @t240 (or (not (tptp.r1 @t3 @t238)) @t239)) @t34))) % 137.14/138.93 (define @t507 () (not @t506)) % 137.14/138.93 (define @t508 () (or @t4 @t2 @t507)) % 137.14/138.93 (define @t509 () (forall @t5 @t508)) % 137.14/138.93 (define @t510 () (not @t509)) % 137.14/138.93 (define @t511 () (or @t8 @t42 @t510)) % 137.14/138.93 (define @t512 () (and @t511 @t505)) % 137.14/138.93 (define @t513 () (or @t9 @t512)) % 137.14/138.93 (define @t514 () (@list @t238)) % 137.14/138.93 (define @t515 () (forall @t5 (or @t4 (and (or @t2 (forall @t264 (or (not (tptp.r1 @t1 @t262)) @t263)) (not (forall @t261 (or (not (tptp.r1 @t1 @t258)) @t260 @t259)))) (forall @t257 (or (not (tptp.r1 @t1 @t253)) @t255 @t254)))))) % 137.14/138.93 (define @t516 () (or @t9 @t515)) % 137.14/138.93 (define @t517 () (forall @t10 @t516)) % 137.14/138.93 (define @t518 () (or @t4 @t517)) % 137.14/138.93 (define @t519 () (or @t9 @t442)) % 137.14/138.93 (define @t520 () (forall @t5 (or @t4 (forall @t274 (or (not (tptp.r1 @t1 @t271)) @t272))))) % 137.14/138.93 (define @t521 () (or @t9 @t520)) % 137.14/138.93 (define @t522 () (forall @t10 @t521)) % 137.14/138.93 (define @t523 () (or @t4 @t522)) % 137.14/138.93 (define @t524 () (or @t9 @t445)) % 137.14/138.93 (define @t525 () (forall @t5 (or @t4 (forall @t284 (or (not (tptp.r1 @t1 @t281)) @t282))))) % 137.14/138.93 (define @t526 () (or @t9 @t525)) % 137.14/138.93 (define @t527 () (forall @t10 @t526)) % 137.14/138.93 (define @t528 () (or @t4 @t527)) % 137.14/138.93 (define @t529 () (or @t9 @t448)) % 137.14/138.93 (define @t530 () (forall @t5 (or @t4 (forall @t319 (or (not (tptp.r1 @t1 @t315)) @t317))))) % 137.14/138.93 (define @t531 () (or @t9 @t530)) % 137.14/138.93 (define @t532 () (forall @t10 @t531)) % 137.14/138.93 (define @t533 () (or @t4 @t532)) % 137.14/138.93 (define @t534 () (forall @t10 (or @t9 (forall @t316 (or (not (tptp.r1 @t3 @t312)) @t314))))) % 137.14/138.93 (define @t535 () (or @t4 @t534)) % 137.14/138.93 (define @t536 () (forall @t5 @t535)) % 137.14/138.93 (define @t537 () (or @t9 @t536)) % 137.14/138.93 (define @t538 () (forall @t5 (or @t4 (forall @t313 (or (not (tptp.r1 @t1 @t298)) @t311 @t307 @t300))))) % 137.14/138.93 (define @t539 () (or @t9 @t538)) % 137.14/138.93 (define @t540 () (forall @t10 @t539)) % 137.14/138.93 (define @t541 () (or @t4 @t540)) % 137.14/138.93 (define @t542 () (forall @t10 (or @t9 (forall @t310 (or (not (tptp.r1 @t3 @t308)) @t309)) (forall @t306 (or (not (tptp.r1 @t3 @t303)) @t305)) (not (forall @t299 (or (not (tptp.r1 @t3 @t294)) @t297 @t296)))))) % 137.14/138.93 (define @t543 () (or @t4 @t542)) % 137.14/138.93 (define @t544 () (forall @t5 @t543)) % 137.14/138.93 (define @t545 () (or @t9 @t544)) % 137.14/138.93 (define @t546 () (forall @t5 (or @t4 @t2 (not (forall @t295 (or (not (tptp.r1 @t1 @t291)) @t293 @t292)))))) % 137.14/138.93 (define @t547 () (not @t546)) % 137.14/138.93 (define @t548 () (forall @t5 (or @t4 (not (forall @t304 (or (not (tptp.r1 @t1 @t301)) @t302)))))) % 137.14/138.93 (define @t549 () (@list @t308)) % 137.14/138.93 (define @t550 () (or @t9 @t6 @t548 @t547)) % 137.14/138.93 (define @t551 () (forall @t10 @t550)) % 137.14/138.93 (define @t552 () (or @t4 @t551)) % 137.14/138.93 (define @t553 () (@list @t301)) % 137.14/138.93 (define @t554 () (or @t9 @t6 @t42 @t510)) % 137.14/138.93 (define @t555 () (forall @t5 (or @t4 (forall @t387 (or (not (tptp.r1 @t1 @t383)) @t385))))) % 137.14/138.93 (define @t556 () (or @t9 @t555)) % 137.14/138.93 (define @t557 () (forall @t10 @t556)) % 137.14/138.93 (define @t558 () (or @t4 @t557)) % 137.14/138.93 (define @t559 () (forall @t10 (or @t9 (forall @t384 (or (not (tptp.r1 @t3 @t380)) @t382))))) % 137.14/138.93 (define @t560 () (or @t4 @t559)) % 137.14/138.93 (define @t561 () (forall @t5 @t560)) % 137.14/138.93 (define @t562 () (or @t9 @t561)) % 137.14/138.93 (define @t563 () (forall @t5 (or @t4 (forall @t381 (or (not (tptp.r1 @t1 @t332)) @t379))))) % 137.14/138.93 (define @t564 () (or @t9 @t563)) % 137.14/138.93 (define @t565 () (forall @t10 @t564)) % 137.14/138.93 (define @t566 () (or @t4 @t565)) % 137.14/138.93 (define @t567 () (forall @t10 (or @t9 (and (or (forall @t378 (or (not (tptp.r1 @t3 @t376)) @t377)) @t34 (forall @t375 (or (not (tptp.r1 @t3 @t373)) @t374)) (not (forall @t370 (or (not (tptp.r1 @t3 @t366)) @t369 @t368 @t367)))) (or @t8 (forall @t355 (or (not (tptp.r1 @t3 @t353)) @t354)) (not (forall @t352 (or (not (tptp.r1 @t3 @t349)) @t351 @t350)))) (forall @t346 (or (not (tptp.r1 @t3 @t339)) @t345 @t340)) (or (forall @t338 (or (not (tptp.r1 @t3 @t336)) @t337)) (not (forall @t333 (or (not (tptp.r1 @t3 @t329)) @t331 @t330)))))))) % 137.14/138.93 (define @t568 () (or @t4 @t567)) % 137.14/138.93 (define @t569 () (forall @t5 @t568)) % 137.14/138.93 (define @t570 () (or @t9 @t569)) % 137.14/138.93 (define @t571 () (forall @t5 (or @t4 @t2 (not (forall @t81 (or @t79 @t328 @t77)))))) % 137.14/138.93 (define @t572 () (not @t571)) % 137.14/138.93 (define @t573 () (forall @t5 (or @t4 (forall @t96 (or @t94 @t93 @t335))))) % 137.14/138.93 (define @t574 () (or @t573 @t572)) % 137.14/138.93 (define @t575 () (forall @t5 (or @t4 (forall @t109 (or @t107 @t344)) @t104))) % 137.14/138.93 (define @t576 () (forall @t5 (or @t4 @t2 (not (forall @t118 (or @t116 @t348 @t114)))))) % 137.14/138.93 (define @t577 () (not @t576)) % 137.14/138.93 (define @t578 () (or @t8 @t127 @t577)) % 137.14/138.93 (define @t579 () (forall @t5 (or @t4 @t146 @t16 (not (forall @t140 (or @t138 @t365 @t360)))))) % 137.14/138.93 (define @t580 () (not @t579)) % 137.14/138.93 (define @t581 () (forall @t5 (or @t4 (not (forall @t155 (or @t153 @t372 @t151)))))) % 137.14/138.93 (define @t582 () (@list @t376)) % 137.14/138.93 (define @t583 () (or @t6 @t34 @t581 @t580)) % 137.14/138.93 (define @t584 () (and @t583 @t578 @t575 @t574)) % 137.14/138.93 (define @t585 () (or @t9 @t584)) % 137.14/138.93 (define @t586 () (forall @t10 @t585)) % 137.14/138.93 (define @t587 () (or @t4 @t586)) % 137.14/138.93 (define @t588 () (@list @t341)) % 137.14/138.93 (define @t589 () (not @t133)) % 137.14/138.93 (define @t590 () (and @t589 @t130)) % 137.14/138.93 (define @t591 () (or @t138 @t137 @t590)) % 137.14/138.93 (define @t592 () (forall @t140 @t591)) % 137.14/138.93 (define @t593 () (not @t592)) % 137.14/138.93 (define @t594 () (or @t4 @t146 @t16 @t593)) % 137.14/138.93 (define @t595 () (forall @t5 (or @t4 (forall @t398 (or (not (tptp.r1 @t1 @t395)) @t396))))) % 137.14/138.93 (define @t596 () (or @t9 @t595)) % 137.14/138.93 (define @t597 () (forall @t10 @t596)) % 137.14/138.93 (define @t598 () (or @t4 @t597)) % 137.14/138.93 (define @t599 () (or @t9 @t454)) % 137.14/138.93 (define @t600 () (forall @t5 (or @t4 (forall @t413 (or (not (tptp.r1 @t1 @t409)) @t411))))) % 137.14/138.93 (define @t601 () (or @t9 @t600)) % 137.14/138.93 (define @t602 () (forall @t10 @t601)) % 137.14/138.93 (define @t603 () (or @t4 @t602)) % 137.14/138.93 (define @t604 () (forall @t10 (or @t9 (forall @t410 (or (not (tptp.r1 @t3 @t406)) @t408))))) % 137.14/138.93 (define @t605 () (or @t4 @t604)) % 137.14/138.93 (define @t606 () (forall @t5 @t605)) % 137.14/138.93 (define @t607 () (or @t9 @t606)) % 137.14/138.93 (define @t608 () (forall @t5 (or @t4 (forall @t407 (or (not (tptp.r1 @t1 @t404)) @t405))))) % 137.14/138.93 (define @t609 () (or @t9 @t608)) % 137.14/138.93 (define @t610 () (forall @t10 @t609)) % 137.14/138.93 (define @t611 () (or @t4 @t610)) % 137.14/138.93 (define @t612 () (or @t9 @t451)) % 137.14/138.93 (define @t613 () (forall @t5 (or @t4 (forall @t422 (or (not (tptp.r1 @t1 @t419)) @t420))))) % 137.14/138.93 (define @t614 () (or @t9 @t613)) % 137.14/138.93 (define @t615 () (forall @t10 @t614)) % 137.14/138.93 (define @t616 () (or @t4 @t615)) % 137.14/138.93 (define @t617 () (or @t9 @t467)) % 137.14/138.93 (define @t618 () (@quantifiers_skolemize (forall @t10 @t428) 0)) % 137.14/138.93 (define @t619 () (not (tptp.r1 @t618 @t1))) % 137.14/138.93 (define @t620 () (forall @t5 (or @t619 @t393))) % 137.14/138.93 (define @t621 () (forall @t5 (or @t619 @t325))) % 137.14/138.93 (define @t622 () (not @t620)) % 137.14/138.93 (define @t623 () (or (not (forall @t5 (or @t619 @t426))) (not (forall @t5 (or @t619 @t417))) (not (forall @t5 (or @t619 @t402))) @t622 @t621 (not (forall @t5 (or @t619 @t288))) (not (forall @t5 (or @t619 @t278))) (not (forall @t5 (or @t619 @t268))) (not (forall @t5 (or @t619 @t250))) (not (forall @t5 (or @t619 @t219))))) % 137.14/138.93 (define @t624 () (@list true)) % 137.14/138.93 (define @t625 () (@list @t623)) % 137.14/138.93 (define @t626 () (@quantifiers_skolemize @t621 0)) % 137.14/138.93 (define @t627 () (tptp.r1 @t618 @t626)) % 137.14/138.93 (define @t628 () (forall @t324 (or (not (tptp.r1 @t626 @t321)) @t323))) % 137.14/138.93 (define @t629 () (not @t627)) % 137.14/138.93 (define @t630 () (or @t629 @t628)) % 137.14/138.93 (define @t631 () (@list @t630)) % 137.14/138.93 (define @t632 () (forall @t392 (or (not (tptp.r1 @t626 @t389)) @t391))) % 137.14/138.93 (define @t633 () (or @t629 @t632)) % 137.14/138.93 (define @t634 () (@list false false)) % 137.14/138.93 (define @t635 () (@quantifiers_skolemize @t628 0)) % 137.14/138.93 (define @t636 () (tptp.r1 @t626 @t635)) % 137.14/138.93 (define @t637 () (forall @t322 (or (not (tptp.r1 @t635 @t318)) @t320))) % 137.14/138.93 (define @t638 () (not @t636)) % 137.14/138.93 (define @t639 () (or @t638 @t637)) % 137.14/138.93 (define @t640 () (@list @t639)) % 137.14/138.93 (define @t641 () (forall @t390 (or (not (tptp.r1 @t635 @t386)) @t388))) % 137.14/138.93 (define @t642 () (or @t638 @t641)) % 137.14/138.93 (define @t643 () (@quantifiers_skolemize @t637 0)) % 137.14/138.93 (define @t644 () (tptp.r1 @t635 @t643)) % 137.14/138.93 (define @t645 () (forall @t319 (or (not (tptp.r1 @t643 @t315)) @t317))) % 137.14/138.94 (define @t646 () (not @t644)) % 137.14/138.94 (define @t647 () (or @t646 @t645)) % 137.14/138.94 (define @t648 () (@list @t647)) % 137.14/138.94 (define @t649 () (forall @t387 (or (not (tptp.r1 @t643 @t383)) @t385))) % 137.14/138.94 (define @t650 () (or @t646 @t649)) % 137.14/138.94 (define @t651 () (@quantifiers_skolemize @t645 0)) % 137.14/138.94 (define @t652 () (tptp.r1 @t643 @t651)) % 137.14/138.94 (define @t653 () (forall @t316 (or (not (tptp.r1 @t651 @t312)) @t314))) % 137.14/138.94 (define @t654 () (not @t652)) % 137.14/138.94 (define @t655 () (or @t654 @t653)) % 137.14/138.94 (define @t656 () (@list @t655)) % 137.14/138.94 (define @t657 () (forall @t384 (or (not (tptp.r1 @t651 @t380)) @t382))) % 137.14/138.94 (define @t658 () (or @t654 @t657)) % 137.14/138.94 (define @t659 () (@quantifiers_skolemize @t653 0)) % 137.14/138.94 (define @t660 () (tptp.r1 @t651 @t659)) % 137.14/138.94 (define @t661 () (forall @t313 (or (not (tptp.r1 @t659 @t298)) @t311 @t307 @t300))) % 137.14/138.94 (define @t662 () (not @t660)) % 137.14/138.94 (define @t663 () (or @t662 @t661)) % 137.14/138.94 (define @t664 () (@list @t663)) % 137.14/138.94 (define @t665 () (forall @t381 (or (not (tptp.r1 @t659 @t332)) @t379))) % 137.14/138.94 (define @t666 () (or @t662 @t665)) % 137.14/138.94 (define @t667 () (@quantifiers_skolemize @t661 0)) % 137.14/138.94 (define @t668 () (tptp.r1 @t659 @t667)) % 137.14/138.94 (define @t669 () (forall @t299 (or (not (tptp.r1 @t667 @t294)) @t297 @t296))) % 137.14/138.94 (define @t670 () (not @t669)) % 137.14/138.94 (define @t671 () (forall @t306 (or (not (tptp.r1 @t667 @t303)) @t305))) % 137.14/138.94 (define @t672 () (forall @t310 (or (not (tptp.r1 @t667 @t308)) @t309))) % 137.14/138.94 (define @t673 () (not @t668)) % 137.14/138.94 (define @t674 () (or @t673 @t672 @t671 @t670)) % 137.14/138.94 (define @t675 () (@list @t674)) % 137.14/138.94 (define @t676 () (forall @t333 (or (not (tptp.r1 @t667 @t329)) @t331 @t330))) % 137.14/138.94 (define @t677 () (not @t676)) % 137.14/138.94 (define @t678 () (forall @t338 (or (not (tptp.r1 @t667 @t336)) @t337))) % 137.14/138.94 (define @t679 () (or @t678 @t677)) % 137.14/138.94 (define @t680 () (forall @t346 (or (not (tptp.r1 @t667 @t339)) @t345 @t340))) % 137.14/138.94 (define @t681 () (forall @t352 (or (not (tptp.r1 @t667 @t349)) @t351 @t350))) % 137.14/138.94 (define @t682 () (not @t681)) % 137.14/138.94 (define @t683 () (forall @t355 (or (not (tptp.r1 @t667 @t353)) @t354))) % 137.14/138.94 (define @t684 () (tptp.p1 @t667)) % 137.14/138.94 (define @t685 () (or @t684 @t683 @t682)) % 137.14/138.94 (define @t686 () (forall @t370 (or (not (tptp.r1 @t667 @t366)) @t369 @t368 @t367))) % 137.14/138.94 (define @t687 () (not @t686)) % 137.14/138.94 (define @t688 () (forall @t375 (or (not (tptp.r1 @t667 @t373)) @t374))) % 137.14/138.94 (define @t689 () (not @t684)) % 137.14/138.94 (define @t690 () (forall @t378 (or (not (tptp.r1 @t667 @t376)) @t377))) % 137.14/138.94 (define @t691 () (or @t690 @t689 @t688 @t687)) % 137.14/138.94 (define @t692 () (and @t691 @t685 @t680 @t679)) % 137.14/138.94 (define @t693 () (or @t673 @t692)) % 137.14/138.94 (define @t694 () (not @t692)) % 137.14/138.94 (define @t695 () (@list false)) % 137.14/138.94 (define @t696 () (@list @t692)) % 137.14/138.94 (define @t697 () (@list @t291 @t238 @t294)) % 137.14/138.94 (define @t698 () (@list @t669)) % 137.14/138.94 (define @t699 () (@quantifiers_skolemize @t686 0)) % 137.14/138.94 (define @t700 () (@quantifiers_skolemize @t671 0)) % 137.14/138.94 (define @t701 () (forall @t295 (or (not (tptp.r1 @t700 @t291)) @t293 @t292))) % 137.14/138.94 (define @t702 () (@quantifiers_skolemize @t701 0)) % 137.14/138.94 (define @t703 () (tptp.r1 @t700 @t702)) % 137.14/138.94 (define @t704 () (forall @t240 (or (not (tptp.r1 @t702 @t238)) @t239))) % 137.14/138.94 (define @t705 () (not @t703)) % 137.14/138.94 (define @t706 () (or @t705 @t704 (not (tptp.p1 @t702)))) % 137.14/138.94 (define @t707 () (@list @t700)) % 137.14/138.94 (define @t708 () (forall @t304 (or (not (tptp.r1 @t700 @t301)) @t302))) % 137.14/138.94 (define @t709 () (not @t708)) % 137.14/138.94 (define @t710 () (tptp.r1 @t667 @t700)) % 137.14/138.94 (define @t711 () (not @t710)) % 137.14/138.94 (define @t712 () (or @t711 @t709)) % 137.14/138.94 (define @t713 () (@list @t712)) % 137.14/138.94 (define @t714 () (forall @t103 (or (not (tptp.r1 @t700 @t101)) @t102))) % 137.14/138.94 (define @t715 () (not @t714)) % 137.14/138.94 (define @t716 () (forall @t109 (or (not (tptp.r1 @t700 @t105)) @t344))) % 137.14/138.94 (define @t717 () (or @t711 @t716 @t715)) % 137.14/138.94 (define @t718 () (forall @t343 (or (not (tptp.r1 @t702 @t341)) @t342))) % 137.14/138.94 (define @t719 () (or @t705 @t718)) % 137.14/138.94 (define @t720 () (not @t706)) % 137.14/138.94 (define @t721 () (not @t701)) % 137.14/138.94 (define @t722 () (@list @t238 @t291)) % 137.14/138.94 (define @t723 () (forall @t155 (or (not (tptp.r1 @t700 @t150)) @t372 @t151))) % 137.14/138.94 (define @t724 () (not @t723)) % 137.14/138.94 (define @t725 () (or @t711 @t724)) % 137.14/138.94 (define @t726 () (not @t725)) % 137.14/138.94 (define @t727 () (forall @t140 (or (not (tptp.r1 @t699 @t129)) @t365 @t360))) % 137.14/138.94 (define @t728 () (not @t727)) % 137.14/138.94 (define @t729 () (forall @t145 (or (not (tptp.r1 @t699 @t143)) @t144))) % 137.14/138.94 (define @t730 () (tptp.r1 @t667 @t699)) % 137.14/138.94 (define @t731 () (not @t730)) % 137.14/138.94 (define @t732 () (or @t731 @t729 (not (tptp.p1 @t699)) @t728)) % 137.14/138.94 (define @t733 () (not @t732)) % 137.14/138.94 (define @t734 () (@list @t732)) % 137.14/138.94 (define @t735 () (forall @t96 (or (not (tptp.r1 @t699 @t90)) @t93 @t335))) % 137.14/138.94 (define @t736 () (or @t731 @t735)) % 137.14/138.94 (define @t737 () (forall @t217 (or (not (tptp.r1 @t699 @t213)) @t216 @t215))) % 137.14/138.94 (define @t738 () (@quantifiers_skolemize @t729 0)) % 137.14/138.94 (define @t739 () (@list @t738)) % 137.14/138.94 (define @t740 () (tptp.p1 @t738)) % 137.14/138.94 (define @t741 () (and (not (forall @t359 (or (not (tptp.r1 @t738 @t357)) @t358))) @t740)) % 137.14/138.94 (define @t742 () (forall @t364 (or (not (tptp.r1 @t738 @t361)) @t363 @t362))) % 137.14/138.94 (define @t743 () (tptp.r1 @t699 @t738)) % 137.14/138.94 (define @t744 () (not @t743)) % 137.14/138.94 (define @t745 () (or @t744 @t742 @t741)) % 137.14/138.94 (define @t746 () (not @t729)) % 137.14/138.94 (define @t747 () (or @t744 @t740)) % 137.14/138.94 (define @t748 () (not @t747)) % 137.14/138.94 (define @t749 () (@list @t747)) % 137.14/138.94 (define @t750 () (not @t741)) % 137.14/138.94 (define @t751 () (@list false true false)) % 137.14/138.94 (define @t752 () (forall @t295 (or (not (tptp.r1 @t738 @t291)) @t293 @t292))) % 137.14/138.94 (define @t753 () (forall @t214 (or (not (tptp.r1 @t738 @t207)) @t212 @t208))) % 137.14/138.94 (define @t754 () (not @t753)) % 137.14/138.94 (define @t755 () (or @t744 @t740 @t754)) % 137.14/138.94 (define @t756 () (not @t755)) % 137.14/138.94 (assume @p1 (not (not @t196))) % 137.14/138.94 (assume @p2 true) % 137.14/138.94 (step @p3 :rule aci_norm :args ((= (or @t427 @t418 @t403 @t394 (or @t326 @t290 @t280 @t270 @t252 @t221)) @t428))) % 137.14/138.94 (step @p4 :rule refl :args (@t221)) % 137.14/138.94 (step @p5 :rule refl :args (@t252)) % 137.14/138.94 (step @p6 :rule refl :args (@t270)) % 137.14/138.94 (step @p7 :rule refl :args (@t280)) % 137.14/138.94 (step @p8 :rule refl :args (@t290)) % 137.14/138.94 (step @p9 :rule bool-double-not-elim :args (@t326)) % 137.14/138.94 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7 @p6 @p5 @p4) :args (@t431)) % 137.14/138.94 (step @p11 :rule aci_norm :args ((= (or @t430 (or @t290 (or @t280 (or @t270 (or @t252 @t221))))) @t431))) % 137.14/138.94 (step @p12 :rule trans :premises (@p11 @p10)) % 137.14/138.94 (step @p13 :rule bool-and-de-morgan :args (@t251 @t220 true)) % 137.14/138.94 (step @p14 :rule nary_cong :premises (@p6 @p13) :args ((or @t270 (not (and @t251 @t220))))) % 137.14/138.94 (step @p15 :rule bool-and-de-morgan :args (@t269 @t251 (and @t220))) % 137.14/138.94 (step @p16 :rule trans :premises (@p15 @p14)) % 137.14/138.94 (step @p17 :rule nary_cong :premises (@p7 @p16) :args ((or @t280 (not (and @t269 @t251 @t220))))) % 137.14/138.94 (step @p18 :rule bool-and-de-morgan :args (@t279 @t269 (and @t251 @t220))) % 137.14/138.94 (step @p19 :rule trans :premises (@p18 @p17)) % 137.14/138.94 (step @p20 :rule nary_cong :premises (@p8 @p19) :args ((or @t290 (not (and @t279 @t269 @t251 @t220))))) % 137.14/138.94 (step @p21 :rule bool-and-de-morgan :args (@t289 @t279 (and @t269 @t251 @t220))) % 137.14/138.94 (step @p22 :rule trans :premises (@p21 @p20)) % 137.14/138.94 (step @p23 :rule refl :args (@t430)) % 137.14/138.94 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t430 (not (and @t289 @t279 @t269 @t251 @t220))))) % 137.14/138.94 (step @p25 :rule bool-and-de-morgan :args (@t429 @t289 (and @t279 @t269 @t251 @t220))) % 137.14/138.94 (step @p26 :rule trans :premises (@p25 @p24)) % 137.14/138.94 (step @p27 :rule trans :premises (@p26 @p12)) % 137.14/138.94 (step @p28 :rule refl :args (@t394)) % 137.14/138.94 (step @p29 :rule refl :args (@t403)) % 137.14/138.94 (step @p30 :rule refl :args (@t418)) % 137.14/138.94 (step @p31 :rule refl :args (@t427)) % 137.14/138.94 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29 @p28 @p27) :args (@t432)) % 137.14/138.94 (step @p33 :rule trans :premises (@p32 @p3)) % 137.14/138.94 (step @p34 :rule cong :premises (@p33) :args ((forall @t10 @t432))) % 137.14/138.94 (step @p35 :rule alpha_equiv :args (@t434 @t435 (@list @t199))) % 137.14/138.94 (step @p36 :rule alpha_equiv :args (@t436 @t435 (@list @t213))) % 137.14/138.94 (step @p37 :rule cong :premises (@p36) :args (@t437)) % 137.14/138.94 (step @p38 :rule alpha_equiv :args (@t438 @t435 (@list @t218))) % 137.14/138.94 (step @p39 :rule refl :args (@t2)) % 137.14/138.94 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t439)) % 137.14/138.94 (step @p41 :rule nary_cong :premises (@p40 @p35) :args (@t440)) % 137.14/138.94 (step @p42 :rule refl :args (@t4)) % 137.14/138.94 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t441)) % 137.14/138.94 (step @p44 :rule cong :premises (@p43) :args (@t442)) % 137.14/138.94 (step @p45 :rule alpha_equiv :args (@t443 @t435 (@list @t234))) % 137.14/138.94 (step @p46 :rule nary_cong :premises (@p42 @p45) :args (@t444)) % 137.14/138.94 (step @p47 :rule cong :premises (@p46) :args (@t445)) % 137.14/138.94 (step @p48 :rule alpha_equiv :args (@t446 @t435 (@list @t266))) % 137.14/138.94 (step @p49 :rule nary_cong :premises (@p42 @p48) :args (@t447)) % 137.14/138.94 (step @p50 :rule cong :premises (@p49) :args (@t448)) % 137.14/138.94 (step @p51 :rule alpha_equiv :args (@t449 @t435 (@list @t276))) % 137.14/138.94 (step @p52 :rule nary_cong :premises (@p42 @p51) :args (@t450)) % 137.14/138.94 (step @p53 :rule cong :premises (@p52) :args (@t451)) % 137.14/138.94 (step @p54 :rule alpha_equiv :args (@t452 @t435 (@list @t286))) % 137.14/138.94 (step @p55 :rule nary_cong :premises (@p42 @p54) :args (@t453)) % 137.14/138.94 (step @p56 :rule cong :premises (@p55) :args (@t454)) % 137.14/138.94 (step @p57 :rule alpha_equiv :args (@t455 @t435 (@list @t321))) % 137.14/138.94 (step @p58 :rule nary_cong :premises (@p42 @p57) :args (@t456)) % 137.14/138.94 (step @p59 :rule cong :premises (@p58) :args (@t457)) % 137.14/138.94 (step @p60 :rule cong :premises (@p59) :args (@t458)) % 137.14/138.94 (step @p61 :rule nary_cong :premises (@p60 @p56 @p53 @p50 @p47 @p44) :args (@t459)) % 137.14/138.94 (step @p62 :rule cong :premises (@p61) :args (@t460)) % 137.14/138.94 (step @p63 :rule alpha_equiv :args (@t461 @t435 (@list @t389))) % 137.14/138.94 (step @p64 :rule nary_cong :premises (@p42 @p63) :args (@t462)) % 137.14/138.94 (step @p65 :rule cong :premises (@p64) :args (@t463)) % 137.14/138.94 (step @p66 :rule cong :premises (@p65) :args (@t464)) % 137.14/138.94 (step @p67 :rule alpha_equiv :args (@t465 @t435 (@list @t400))) % 137.14/138.94 (step @p68 :rule nary_cong :premises (@p42 @p67) :args (@t466)) % 137.14/138.94 (step @p69 :rule cong :premises (@p68) :args (@t467)) % 137.14/138.94 (step @p70 :rule cong :premises (@p69) :args (@t468)) % 137.14/138.94 (step @p71 :rule alpha_equiv :args (@t469 @t435 (@list @t415))) % 137.14/138.94 (step @p72 :rule nary_cong :premises (@p42 @p71) :args (@t470)) % 137.14/138.94 (step @p73 :rule cong :premises (@p72) :args (@t471)) % 137.14/138.94 (step @p74 :rule cong :premises (@p73) :args (@t472)) % 137.14/138.94 (step @p75 :rule alpha_equiv :args (@t473 @t435 (@list @t424))) % 137.14/138.94 (step @p76 :rule nary_cong :premises (@p42 @p75) :args (@t474)) % 137.14/138.94 (step @p77 :rule cong :premises (@p76) :args (@t475)) % 137.14/138.94 (step @p78 :rule cong :premises (@p77) :args (@t476)) % 137.14/138.94 (step @p79 :rule nary_cong :premises (@p78 @p74 @p70 @p66 @p62) :args (@t477)) % 137.14/138.94 (step @p80 :rule cong :premises (@p79) :args ((forall @t10 @t477))) % 137.14/138.94 (step @p81 :rule trans :premises (@p80 @p34)) % 137.14/138.94 (step @p82 :rule bool-double-not-elim :args (@t477)) % 137.14/138.94 (step @p83 :rule cong :premises (@p82) :args (@t479)) % 137.14/138.94 (step @p84 :rule trans :premises (@p83 @p81)) % 137.14/138.94 (step @p85 :rule cong :premises (@p84) :args (@t480)) % 137.14/138.94 (step @p86 :rule exists-elim :args ((= (exists @t10 @t478) @t480))) % 137.14/138.94 (step @p87 :rule trans :premises (@p86 @p85)) % 137.14/138.94 (step @p88 :rule alpha_equiv :args (@t6 @t481 (@list @t197))) % 137.14/138.94 (step @p89 :rule cong :premises (@p88) :args (@t7)) % 137.14/138.94 (step @p90 :rule alpha_equiv :args (@t482 @t481 (@list @t203))) % 137.14/138.94 (step @p91 :rule refl :args (@t9)) % 137.14/138.94 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args (@t483)) % 137.14/138.94 (step @p93 :rule cong :premises (@p92) :args (@t484)) % 137.14/138.94 (step @p94 :rule alpha_equiv :args (@t485 @t481 (@list @t207))) % 137.14/138.94 (step @p95 :rule cong :premises (@p94) :args (@t486)) % 137.14/138.94 (step @p96 :rule refl :args (@t8)) % 137.14/138.94 (step @p97 :rule nary_cong :premises (@p91 @p96 @p95) :args (@t487)) % 137.14/138.94 (step @p98 :rule cong :premises (@p97) :args (@t488)) % 137.14/138.94 (step @p99 :rule cong :premises (@p98) :args (@t489)) % 137.14/138.94 (step @p100 :rule nary_cong :premises (@p91 @p89) :args (@t23)) % 137.14/138.94 (step @p101 :rule cong :premises (@p100) :args (@t24)) % 137.14/138.94 (step @p102 :rule nary_cong :premises (@p39 @p101 @p99) :args (@t490)) % 137.14/138.94 (step @p103 :rule nary_cong :premises (@p102 @p93) :args (@t491)) % 137.14/138.94 (step @p104 :rule nary_cong :premises (@p42 @p103) :args (@t492)) % 137.14/138.94 (step @p105 :rule cong :premises (@p104) :args ((forall @t5 @t492))) % 137.14/138.94 (step @p106 :rule refl :args (@t7)) % 137.14/138.94 (step @p107 :rule alpha_equiv :args (@t11 @t435 (@list @t201))) % 137.14/138.94 (step @p108 :rule nary_cong :premises (@p42 @p107) :args (@t12)) % 137.14/138.94 (step @p109 :rule cong :premises (@p108) :args (@t13)) % 137.14/138.94 (step @p110 :rule nary_cong :premises (@p91 @p109 @p106) :args (@t14)) % 137.14/138.94 (step @p111 :rule cong :premises (@p110) :args (@t15)) % 137.14/138.94 (step @p112 :rule refl :args (@t16)) % 137.14/138.94 (step @p113 :rule alpha_equiv :args (@t11 @t435 (@list @t209))) % 137.14/138.94 (step @p114 :rule nary_cong :premises (@p42 @p113 @p112) :args (@t17)) % 137.14/138.94 (step @p115 :rule cong :premises (@p114) :args (@t18)) % 137.14/138.94 (step @p116 :rule cong :premises (@p115) :args (@t19)) % 137.14/138.94 (step @p117 :rule nary_cong :premises (@p91 @p96 @p116) :args (@t20)) % 137.14/138.94 (step @p118 :rule cong :premises (@p117) :args (@t21)) % 137.14/138.94 (step @p119 :rule cong :premises (@p118) :args (@t22)) % 137.14/138.94 (step @p120 :rule refl :args (@t24)) % 137.14/138.94 (step @p121 :rule refl :args (@t2)) % 137.14/138.94 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t25)) % 137.14/138.94 (step @p123 :rule nary_cong :premises (@p122 @p111) :args (@t26)) % 137.14/138.94 (step @p124 :rule refl :args (@t4)) % 137.14/138.94 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t27)) % 137.14/138.94 (step @p126 :rule cong :premises (@p125) :args (@t28)) % 137.14/138.94 (step @p127 :rule trans :premises (@p126 @p105)) % 137.14/138.94 (step @p128 :rule alpha_equiv :args (@t494 @t481 (@list @t224))) % 137.14/138.94 (step @p129 :rule alpha_equiv :args (@t495 @t481 (@list @t242))) % 137.14/138.94 (step @p130 :rule cong :premises (@p129) :args (@t496)) % 137.14/138.94 (step @p131 :rule alpha_equiv :args (@t497 @t481 (@list @t247))) % 137.14/138.94 (step @p132 :rule nary_cong :premises (@p96 @p131 @p130) :args (@t498)) % 137.14/138.94 (step @p133 :rule nary_cong :premises (@p132 @p128) :args (@t499)) % 137.14/138.94 (step @p134 :rule nary_cong :premises (@p91 @p133) :args (@t500)) % 137.14/138.94 (step @p135 :rule cong :premises (@p134) :args (@t501)) % 137.14/138.94 (step @p136 :rule nary_cong :premises (@p42 @p135) :args (@t502)) % 137.14/138.94 (step @p137 :rule cong :premises (@p136) :args ((forall @t5 @t502))) % 137.14/138.94 (step @p138 :rule alpha_equiv :args (@t11 @t435 (@list @t222))) % 137.14/138.94 (step @p139 :rule cong :premises (@p138) :args (@t29)) % 137.14/138.94 (step @p140 :rule alpha_equiv :args (@t503 @t435 (@list @t229))) % 137.14/138.94 (step @p141 :rule nary_cong :premises (@p42 @p140 @p139) :args (@t504)) % 137.14/138.94 (step @p142 :rule cong :premises (@p141) :args (@t505)) % 137.14/138.94 (step @p143 :rule alpha_equiv :args (@t506 @t435 (@list @t236))) % 137.14/138.94 (step @p144 :rule cong :premises (@p143) :args (@t507)) % 137.14/138.94 (step @p145 :rule nary_cong :premises (@p42 @p39 @p144) :args (@t508)) % 137.14/138.94 (step @p146 :rule cong :premises (@p145) :args (@t509)) % 137.14/138.94 (step @p147 :rule cong :premises (@p146) :args (@t510)) % 137.14/138.94 (step @p148 :rule nary_cong :premises (@p42 @p139) :args (@t41)) % 137.14/138.94 (step @p149 :rule cong :premises (@p148) :args (@t42)) % 137.14/138.94 (step @p150 :rule nary_cong :premises (@p96 @p149 @p147) :args (@t511)) % 137.14/138.94 (step @p151 :rule nary_cong :premises (@p150 @p142) :args (@t512)) % 137.14/138.94 (step @p152 :rule nary_cong :premises (@p91 @p151) :args (@t513)) % 137.14/138.94 (step @p153 :rule cong :premises (@p152) :args ((forall @t10 @t513))) % 137.14/138.94 (step @p154 :rule refl :args (@t29)) % 137.14/138.94 (step @p155 :rule alpha_equiv :args (@t6 @t481 (@list @t227))) % 137.14/138.94 (step @p156 :rule nary_cong :premises (@p91 @p155) :args (@t30)) % 137.14/138.94 (step @p157 :rule cong :premises (@p156) :args (@t31)) % 137.14/138.94 (step @p158 :rule nary_cong :premises (@p42 @p157 @p154) :args (@t32)) % 137.14/138.94 (step @p159 :rule cong 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@p597 :rule eq_resolve :premises (@p596 @p595)) % 137.14/138.94 (step @p598 :rule reordering :premises (@p597) :args ((or @t669 @t674))) % 137.14/138.94 (step @p599 :rule chain_m_resolution :premises (@p598 @p580) :args (@t669 @t624 @t675)) % 137.14/138.94 (step @p600 :rule alpha_equiv :args (@t669 @t697 (@list @t76 @t327 @t329))) % 137.14/138.94 (step @p601 :rule equiv_elim1 :premises (@p600)) % 137.14/138.94 (step @p602 :rule chain_m_resolution :premises (@p601 @p599) :args (@t676 @t695 @t698)) % 137.14/138.94 (step @p603 :rule cnf_or_pos :args (@t679)) % 137.14/138.94 (step @p604 :rule reordering :premises (@p603) :args ((or @t678 @t677 (not @t679)))) % 137.14/138.94 (step @p605 :rule chain_m_resolution :premises (@p604 @p602 @p593) :args (@t678 @t634 (@list @t676 @t679))) % 137.14/138.94 (step @p606 :rule instantiate :premises (@p605) :args ((@list @t699))) % 137.14/138.94 (step @p607 :rule cnf_and_pos :args (@t692 0)) % 137.14/138.94 (step @p608 :rule reordering :premises (@p607) :args ((or @t691 @t694))) % 137.14/138.94 (step @p609 :rule chain_m_resolution :premises (@p608 @p590) :args (@t691 @t695 @t696)) % 137.14/138.94 (step @p610 :rule bool-double-not-elim :args (@t703)) % 137.14/138.94 (step @p611 :rule refl :args (@t706)) % 137.14/138.94 (step @p612 :rule nary_cong :premises (@p611 @p610) :args ((or @t706 (not @t705)))) % 137.14/138.94 (step @p613 :rule cnf_or_neg :args (@t706 0)) % 137.14/138.94 (step @p614 :rule eq_resolve :premises (@p613 @p612)) % 137.14/138.94 (step @p615 :rule reordering :premises (@p614) :args ((or @t703 @t706))) % 137.14/138.94 (step @p616 :rule cnf_or_neg :args (@t706 1)) % 137.14/138.94 (step @p617 :rule cnf_and_pos :args (@t692 2)) % 137.14/138.94 (step @p618 :rule reordering :premises (@p617) :args ((or @t680 @t694))) % 137.14/138.94 (step @p619 :rule chain_m_resolution :premises (@p618 @p590) :args (@t680 @t695 @t696)) % 137.14/138.94 (step @p620 :rule instantiate :premises (@p619) :args (@t707)) % 137.14/138.94 (step @p621 :rule cnf_or_neg :args (@t674 2)) % 137.14/138.94 (step @p622 :rule chain_m_resolution :premises (@p621 @p580) :args ((not @t671) @t624 @t675)) % 137.14/138.94 (step @p623 :rule skolemize :premises (@p622)) % 137.14/138.94 (step @p624 :rule bool-double-not-elim :args (@t708)) % 137.14/138.94 (step @p625 :rule refl :args (@t712)) % 137.14/138.94 (step @p626 :rule nary_cong :premises (@p625 @p624) :args ((or @t712 (not @t709)))) % 137.14/138.94 (step @p627 :rule cnf_or_neg :args (@t712 1)) % 137.14/138.94 (step @p628 :rule eq_resolve :premises (@p627 @p626)) % 137.14/138.94 (step @p629 :rule reordering :premises (@p628) :args ((or @t708 @t712))) % 137.14/138.94 (step @p630 :rule chain_m_resolution :premises (@p629 @p623) :args (@t708 @t624 @t713)) % 137.14/138.94 (step @p631 :rule alpha_equiv :args (@t708 @t553 (@list @t101))) % 137.14/138.94 (step @p632 :rule equiv_elim1 :premises (@p631)) % 137.14/138.94 (step @p633 :rule chain_m_resolution :premises (@p632 @p630) :args (@t714 @t695 (@list @t708))) % 137.14/138.94 (step @p634 :rule bool-double-not-elim :args (@t710)) % 137.14/138.94 (step @p635 :rule nary_cong :premises (@p625 @p634) :args ((or @t712 (not @t711)))) % 137.14/138.94 (step @p636 :rule cnf_or_neg :args (@t712 0)) % 137.14/138.94 (step @p637 :rule eq_resolve :premises (@p636 @p635)) % 137.14/138.94 (step @p638 :rule reordering :premises (@p637) :args ((or @t710 @t712))) % 137.14/138.94 (step @p639 :rule chain_m_resolution :premises (@p638 @p623) :args (@t710 @t624 @t713)) % 137.14/138.94 (step @p640 :rule cnf_or_pos :args (@t717)) % 137.14/138.94 (step @p641 :rule reordering :premises (@p640) :args ((or @t711 @t716 @t715 (not @t717)))) % 137.14/138.94 (step @p642 :rule chain_m_resolution :premises (@p641 @p639 @p633 @p620) :args (@t716 (@list false false false) (@list @t710 @t714 @t717))) % 137.14/138.94 (step @p643 :rule instantiate :premises (@p642) :args ((@list @t702))) % 137.14/138.94 (step @p644 :rule cnf_or_pos :args (@t719)) % 137.14/138.94 (step @p645 :rule reordering :premises (@p644) :args ((or @t705 @t718 (not @t719)))) % 137.14/138.94 (step @p646 :rule alpha_equiv :args (@t704 @t514 @t588)) % 137.14/138.94 (step @p647 :rule equiv_elim2 :premises (@p646)) % 137.14/138.94 (step @p648 :rule chain_m_resolution :premises (@p647 @p645 @p643 @p616 @p615) :args (@t706 (@list false false true false) (@list @t718 @t719 @t704 @t703))) % 137.14/138.94 (step @p649 :rule refl :args (@t720)) % 137.14/138.94 (step @p650 :rule bool-double-not-elim :args (@t701)) % 137.14/138.94 (step @p651 :rule nary_cong :premises (@p650 @p649) :args ((or (not @t721) @t720))) % 137.14/138.94 (assume-push @p768 @t721) % 137.14/138.94 (step @p653 :rule skolemize :premises (@p768)) % 137.14/138.94 (step-pop @p769 :rule scope :premises (@p653)) % 137.14/138.94 (step @p654 :rule process_scope :premises (@p769) :args (@t720)) % 137.14/138.94 (step @p656 :rule implies_elim :premises (@p654)) % 137.14/138.94 (step @p657 :rule eq_resolve :premises (@p656 @p651)) % 137.14/138.94 (step @p658 :rule chain_m_resolution :premises (@p657 @p648) :args (@t701 @t695 (@list @t706))) % 137.14/138.94 (step @p659 :rule alpha_equiv :args (@t701 @t722 (@list @t371 @t150))) % 137.14/138.94 (step @p660 :rule equiv_elim1 :premises (@p659)) % 137.14/138.94 (step @p661 :rule chain_m_resolution :premises (@p660 @p658) :args (@t723 @t695 (@list @t701))) % 137.14/138.94 (step @p662 :rule cnf_or_pos :args (@t725)) % 137.14/138.94 (step @p663 :rule reordering :premises (@p662) :args ((or @t711 @t724 @t726))) % 137.14/138.94 (step @p664 :rule chain_m_resolution :premises (@p663 @p639 @p661) :args (@t726 @t634 (@list @t710 @t723))) % 137.14/138.94 (assume-push @p770 @t688) % 137.14/138.94 (step @p666 :rule instantiate :premises (@p770) :args (@t707)) % 137.14/138.94 (step-pop @p771 :rule scope :premises (@p666)) % 137.14/138.94 (step @p667 :rule process_scope :premises (@p771) :args (@t725)) % 137.14/138.94 (step @p669 :rule implies_elim :premises (@p667)) % 137.14/138.94 (step @p670 :rule chain_m_resolution :premises (@p669 @p664) :args ((not @t688) @t624 (@list @t725))) % 137.14/138.94 (step @p671 :rule cnf_or_neg :args (@t674 1)) % 137.14/138.94 (step @p672 :rule chain_m_resolution :premises (@p671 @p580) :args ((not @t672) @t624 @t675)) % 137.14/138.94 (step @p673 :rule alpha_equiv :args (@t672 @t549 @t582)) % 137.14/138.94 (step @p674 :rule equiv_elim2 :premises (@p673)) % 137.14/138.94 (step @p675 :rule chain_m_resolution :premises (@p674 @p672) :args ((not @t690) @t624 (@list @t672))) % 137.14/138.94 (step @p676 :rule cnf_and_pos :args (@t692 1)) % 137.14/138.94 (step @p677 :rule reordering :premises (@p676) :args ((or @t685 @t694))) % 137.14/138.94 (step @p678 :rule chain_m_resolution :premises (@p677 @p590) :args (@t685 @t695 @t696)) % 137.14/138.94 (step @p679 :rule alpha_equiv :args (@t669 @t697 (@list @t113 @t347 @t349))) % 137.14/138.94 (step @p680 :rule equiv_elim1 :premises (@p679)) % 137.14/138.94 (step @p681 :rule chain_m_resolution :premises (@p680 @p599) :args (@t681 @t695 @t698)) % 137.14/138.94 (step @p682 :rule alpha_equiv :args (@t671 (@list @t301 @t303) (@list @t124 @t353))) % 137.14/138.94 (step @p683 :rule equiv_elim2 :premises (@p682)) % 137.14/138.94 (step @p684 :rule chain_m_resolution :premises (@p683 @p622) :args ((not @t683) @t624 (@list @t671))) % 137.14/138.94 (step @p685 :rule cnf_or_pos :args (@t685)) % 137.14/138.94 (step @p686 :rule reordering :premises (@p685) :args ((or @t684 @t683 @t682 (not @t685)))) % 137.14/138.94 (step @p687 :rule chain_m_resolution :premises (@p686 @p684 @p681 @p678) :args (@t684 (@list true false false) (@list @t683 @t681 @t685))) % 137.14/138.94 (step @p688 :rule cnf_or_pos :args (@t691)) % 137.14/138.94 (step @p689 :rule reordering :premises (@p688) :args ((or @t689 @t690 @t688 @t687 (not @t691)))) % 137.14/138.94 (step @p690 :rule chain_m_resolution :premises (@p689 @p687 @p675 @p670 @p609) :args (@t687 (@list false true true false) (@list @t684 @t690 @t688 @t691))) % 137.14/138.94 (step @p691 :rule refl :args (@t733)) % 137.14/138.94 (step @p692 :rule bool-double-not-elim :args (@t686)) % 137.14/138.94 (step @p693 :rule nary_cong :premises (@p692 @p691) :args ((or (not @t687) @t733))) % 137.14/138.94 (assume-push @p772 @t687) % 137.14/138.94 (step @p695 :rule skolemize :premises (@p772)) % 137.14/138.94 (step-pop @p773 :rule scope :premises (@p695)) % 137.14/138.94 (step @p696 :rule process_scope :premises (@p773) :args (@t733)) % 137.14/138.94 (step @p698 :rule implies_elim :premises (@p696)) % 137.14/138.94 (step @p699 :rule eq_resolve :premises (@p698 @p693)) % 137.14/138.94 (step @p700 :rule chain_m_resolution :premises (@p699 @p690) :args (@t733 @t624 (@list @t686))) % 137.14/138.94 (step @p701 :rule bool-double-not-elim :args (@t730)) % 137.14/138.94 (step @p702 :rule refl :args (@t732)) % 137.14/138.94 (step @p703 :rule nary_cong :premises (@p702 @p701) :args ((or @t732 (not @t731)))) % 137.14/138.94 (step @p704 :rule cnf_or_neg :args (@t732 0)) % 137.14/138.94 (step @p705 :rule eq_resolve :premises (@p704 @p703)) % 137.14/138.94 (step @p706 :rule reordering :premises (@p705) :args ((or @t730 @t732))) % 137.14/138.94 (step @p707 :rule chain_m_resolution :premises (@p706 @p700) :args (@t730 @t624 @t734)) % 137.14/138.94 (step @p708 :rule cnf_or_pos :args (@t736)) % 137.14/138.94 (step @p709 :rule reordering :premises (@p708) :args ((or @t731 @t735 (not @t736)))) % 137.14/138.94 (step @p710 :rule chain_m_resolution :premises (@p709 @p707 @p606) :args (@t735 @t634 (@list @t730 @t736))) % 137.14/138.94 (step @p711 :rule alpha_equiv :args (@t737 (@list @t207 @t209 @t213) (@list @t334 @t87 @t90))) % 137.14/138.94 (step @p712 :rule equiv_elim2 :premises (@p711)) % 137.14/138.94 (step @p713 :rule chain_m_resolution :premises (@p712 @p710) :args (@t737 @t695 (@list @t735))) % 137.14/138.94 (step @p714 :rule bool-double-not-elim :args (@t727)) % 137.14/138.94 (step @p715 :rule nary_cong :premises (@p702 @p714) :args ((or @t732 (not @t728)))) % 137.14/138.94 (step @p716 :rule cnf_or_neg :args (@t732 3)) % 137.14/138.94 (step @p717 :rule eq_resolve :premises (@p716 @p715)) % 137.14/138.94 (step @p718 :rule reordering :premises (@p717) :args ((or @t727 @t732))) % 137.14/138.94 (step @p719 :rule chain_m_resolution :premises (@p718 @p700) :args (@t727 @t624 @t734)) % 137.14/138.94 (assume-push @p774 @t727) % 137.14/138.94 (step @p721 :rule instantiate :premises (@p774) :args (@t739)) % 137.14/138.94 (step-pop @p775 :rule scope :premises (@p721)) % 137.14/138.94 (step @p722 :rule process_scope :premises (@p775) :args (@t745)) % 137.14/138.94 (step @p724 :rule implies_elim :premises (@p722)) % 137.14/138.94 (step @p725 :rule chain_m_resolution :premises (@p724 @p719) :args (@t745 @t695 (@list @t727))) % 137.14/138.94 (step @p726 :rule cnf_or_neg :args (@t732 1)) % 137.14/138.94 (step @p727 :rule chain_m_resolution :premises (@p726 @p700) :args (@t746 @t624 @t734)) % 137.14/138.94 (step @p728 :rule refl :args (@t748)) % 137.14/138.94 (step @p729 :rule bool-double-not-elim :args (@t729)) % 137.14/138.94 (step @p730 :rule nary_cong :premises (@p729 @p728) :args ((or (not @t746) @t748))) % 137.14/138.94 (assume-push @p776 @t746) % 137.14/138.94 (step @p732 :rule skolemize :premises (@p776)) % 137.14/138.94 (step-pop @p777 :rule scope :premises (@p732)) % 137.14/138.94 (step @p733 :rule process_scope :premises (@p777) :args (@t748)) % 137.14/138.94 (step @p735 :rule implies_elim :premises (@p733)) % 137.14/138.94 (step @p736 :rule eq_resolve :premises (@p735 @p730)) % 137.14/138.94 (step @p737 :rule chain_m_resolution :premises (@p736 @p727) :args (@t748 @t624 (@list @t729))) % 137.14/138.94 (step @p738 :rule cnf_or_neg :args (@t747 1)) % 137.14/138.94 (step @p739 :rule chain_m_resolution :premises (@p738 @p737) :args ((not @t740) @t624 @t749)) % 137.14/138.94 (step @p740 :rule cnf_and_pos :args (@t741 1)) % 137.14/138.94 (step @p741 :rule reordering :premises (@p740) :args ((or @t740 @t750))) % 137.14/138.94 (step @p742 :rule chain_m_resolution :premises (@p741 @p739) :args (@t750 @t624 (@list @t740))) % 137.14/138.94 (step @p743 :rule bool-double-not-elim :args (@t743)) % 137.14/138.94 (step @p744 :rule refl :args (@t747)) % 137.14/138.94 (step @p745 :rule nary_cong :premises (@p744 @p743) :args ((or @t747 (not @t744)))) % 137.14/138.94 (step @p746 :rule cnf_or_neg :args (@t747 0)) % 137.14/138.94 (step @p747 :rule eq_resolve :premises (@p746 @p745)) % 137.14/138.94 (step @p748 :rule reordering :premises (@p747) :args ((or @t743 @t747))) % 137.14/138.94 (step @p749 :rule chain_m_resolution :premises (@p748 @p737) :args (@t743 @t624 @t749)) % 137.14/138.94 (step @p750 :rule cnf_or_pos :args (@t745)) % 137.14/138.94 (step @p751 :rule reordering :premises (@p750) :args ((or @t744 @t742 @t741 (not @t745)))) % 137.14/138.94 (step @p752 :rule chain_m_resolution :premises (@p751 @p749 @p742 @p725) :args (@t742 @t751 (@list @t743 @t741 @t745))) % 137.14/138.94 (step @p753 :rule alpha_equiv :args (@t752 @t722 (@list @t134 @t361))) % 137.14/138.94 (step @p754 :rule equiv_elim2 :premises (@p753)) % 137.14/138.94 (step @p755 :rule chain_m_resolution :premises (@p754 @p752) :args (@t752 @t695 (@list @t742))) % 137.14/138.94 (step @p756 :rule alpha_equiv :args (@t752 @t722 (@list @t209 @t207))) % 137.14/139.01 (step @p757 :rule equiv_elim1 :premises (@p756)) % 137.14/139.01 (step @p758 :rule chain_m_resolution :premises (@p757 @p755) :args (@t753 @t695 (@list @t752))) % 137.14/139.01 (step @p759 :rule cnf_or_pos :args (@t755)) % 137.14/139.01 (step @p760 :rule reordering :premises (@p759) :args ((or @t744 @t740 @t754 @t756))) % 137.14/139.01 (step @p761 :rule chain_m_resolution :premises (@p760 @p749 @p739 @p758) :args (@t756 @t751 (@list @t743 @t740 @t753))) % 137.14/139.01 (assume-push @p778 @t737) % 137.14/139.01 (step @p763 :rule instantiate :premises (@p778) :args (@t739)) % 137.14/139.01 (step-pop @p779 :rule scope :premises (@p763)) % 137.14/139.01 (step @p764 :rule process_scope :premises (@p779) :args (@t755)) % 137.14/139.01 (step @p766 :rule implies_elim :premises (@p764)) % 137.14/139.01 (step @p767 false :rule chain_m_resolution :premises (@p766 @p761 @p713) :args (false (@list true false) (@list @t755 @t737))) % 137.14/139.01 ) % 137.14/139.01 % SZS output end Proof % 137.14/139.01 % cvc5 exiting %------------------------------------------------------------------------------