%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC192+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:58:24 AM UTC 2026 % Result : Theorem 59.52s 59.76s % Output : Proof 59.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC192+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:22:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 59.52/59.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 59.52/59.76 --- Run --no-e-matching --full-saturate-quant at 6... % 59.52/59.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 59.52/59.76 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 59.52/59.76 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 59.52/59.76 % SZS status Theorem % 59.52/59.76 % SZS output start Proof % 59.52/59.76 ( % 59.52/59.76 (declare-sort $$unsorted 0) % 59.52/59.76 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 59.52/59.76 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 59.52/59.76 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 59.52/59.76 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 59.52/59.76 (declare-const tptp.nil $$unsorted) % 59.52/59.76 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.ssList (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 59.52/59.76 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 59.52/59.76 (define @t1 () (@var "V" $$unsorted)) % 59.52/59.76 (define @t2 () (@var "U" $$unsorted)) % 59.52/59.76 (define @t3 () (= @t2 @t1)) % 59.52/59.76 (define @t4 () (not @t3)) % 59.52/59.76 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 59.52/59.76 (define @t6 () (tptp.ssItem @t1)) % 59.52/59.76 (define @t7 () (@list @t1)) % 59.52/59.76 (define @t8 () (tptp.ssItem @t2)) % 59.52/59.76 (define @t9 () (@list @t2)) % 59.52/59.76 (define @t10 () (@var "X" $$unsorted)) % 59.52/59.76 (define @t11 () (tptp.cons @t1 @t10)) % 59.52/59.76 (define @t12 () (@var "W" $$unsorted)) % 59.52/59.76 (define @t13 () (tptp.ssList @t10)) % 59.52/59.76 (define @t14 () (@list @t10)) % 59.52/59.76 (define @t15 () (tptp.ssList @t12)) % 59.52/59.76 (define @t16 () (@list @t12)) % 59.52/59.76 (define @t17 () (tptp.ssList @t2)) % 59.52/59.76 (define @t18 () (tptp.cons @t1 tptp.nil)) % 59.52/59.76 (define @t19 () (tptp.app @t1 @t12)) % 59.52/59.76 (define @t20 () (tptp.frontsegP @t2 @t1)) % 59.52/59.76 (define @t21 () (tptp.ssList @t1)) % 59.52/59.76 (define @t22 () (tptp.app @t12 @t1)) % 59.52/59.76 (define @t23 () (tptp.rearsegP @t2 @t1)) % 59.52/59.76 (define @t24 () (tptp.segmentP @t2 @t1)) % 59.52/59.76 (define @t25 () (tptp.leq @t12 @t1)) % 59.52/59.76 (define @t26 () (tptp.leq @t1 @t12)) % 59.52/59.76 (define @t27 () (@var "Z" $$unsorted)) % 59.52/59.76 (define @t28 () (@var "Y" $$unsorted)) % 59.52/59.76 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 59.52/59.76 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 59.52/59.76 (define @t31 () (= @t30 @t2)) % 59.52/59.76 (define @t32 () (tptp.ssList @t27)) % 59.52/59.76 (define @t33 () (@list @t27)) % 59.52/59.76 (define @t34 () (tptp.ssList @t28)) % 59.52/59.76 (define @t35 () (@list @t28)) % 59.52/59.76 (define @t36 () (tptp.ssItem @t12)) % 59.52/59.76 (define @t37 () (tptp.lt @t1 @t12)) % 59.52/59.76 (define @t38 () (= @t1 @t12)) % 59.52/59.76 (define @t39 () (not @t38)) % 59.52/59.76 (define @t40 () (=> @t31 @t39)) % 59.52/59.76 (define @t41 () (=> @t32 @t40)) % 59.52/59.76 (define @t42 () (forall @t33 @t41)) % 59.52/59.76 (define @t43 () (=> @t34 @t42)) % 59.52/59.76 (define @t44 () (forall @t35 @t43)) % 59.52/59.76 (define @t45 () (=> @t13 @t44)) % 59.52/59.76 (define @t46 () (forall @t14 @t45)) % 59.52/59.76 (define @t47 () (=> @t36 @t46)) % 59.52/59.76 (define @t48 () (forall @t16 @t47)) % 59.52/59.76 (define @t49 () (=> @t6 @t48)) % 59.52/59.76 (define @t50 () (forall @t7 @t49)) % 59.52/59.76 (define @t51 () (tptp.duplicatefreeP @t2)) % 59.52/59.76 (define @t52 () (= @t51 @t50)) % 59.52/59.76 (define @t53 () (=> @t17 @t52)) % 59.52/59.76 (define @t54 () (forall @t9 @t53)) % 59.52/59.76 (define @t55 () (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28)))) % 59.52/59.76 (define @t56 () (=> (= @t55 @t2) @t38)) % 59.52/59.76 (define @t57 () (=> @t34 @t56)) % 59.52/59.76 (define @t58 () (forall @t35 @t57)) % 59.52/59.76 (define @t59 () (=> @t13 @t58)) % 59.52/59.76 (define @t60 () (forall @t14 @t59)) % 59.52/59.76 (define @t61 () (=> @t36 @t60)) % 59.52/59.76 (define @t62 () (forall @t16 @t61)) % 59.52/59.76 (define @t63 () (=> @t6 @t62)) % 59.52/59.76 (define @t64 () (forall @t7 @t63)) % 59.52/59.76 (define @t65 () (tptp.equalelemsP @t2)) % 59.52/59.76 (define @t66 () (= @t65 @t64)) % 59.52/59.76 (define @t67 () (=> @t17 @t66)) % 59.52/59.76 (define @t68 () (forall @t9 @t67)) % 59.52/59.76 (define @t69 () (tptp.cons @t1 @t2)) % 59.52/59.76 (define @t70 () (tptp.ssList @t69)) % 59.52/59.76 (define @t71 () (forall @t7 (=> @t6 @t70))) % 59.52/59.76 (define @t72 () (=> @t17 @t71)) % 59.52/59.76 (define @t73 () (forall @t9 @t72)) % 59.52/59.76 (define @t74 () (tptp.ssList tptp.nil)) % 59.52/59.76 (define @t75 () (not (= @t69 @t2))) % 59.52/59.76 (define @t76 () (=> @t6 @t75)) % 59.52/59.76 (define @t77 () (forall @t7 @t76)) % 59.52/59.76 (define @t78 () (=> @t17 @t77)) % 59.52/59.76 (define @t79 () (forall @t9 @t78)) % 59.52/59.76 (define @t80 () (= @t1 @t2)) % 59.52/59.76 (define @t81 () (tptp.cons @t12 @t1)) % 59.52/59.76 (define @t82 () (and @t36 (= @t81 @t2))) % 59.52/59.76 (define @t83 () (exists @t16 @t82)) % 59.52/59.76 (define @t84 () (and @t21 @t83)) % 59.52/59.76 (define @t85 () (exists @t7 @t84)) % 59.52/59.76 (define @t86 () (= tptp.nil @t2)) % 59.52/59.76 (define @t87 () (or @t86 @t85)) % 59.52/59.76 (define @t88 () (=> @t17 @t87)) % 59.52/59.76 (define @t89 () (forall @t9 @t88)) % 59.52/59.76 (define @t90 () (tptp.hd @t2)) % 59.52/59.76 (define @t91 () (not @t86)) % 59.52/59.76 (define @t92 () (tptp.tl @t2)) % 59.52/59.76 (define @t93 () (tptp.app @t2 @t1)) % 59.52/59.76 (define @t94 () (tptp.ssList @t93)) % 59.52/59.76 (define @t95 () (forall @t7 (=> @t21 @t94))) % 59.52/59.76 (define @t96 () (=> @t17 @t95)) % 59.52/59.76 (define @t97 () (forall @t9 @t96)) % 59.52/59.76 (define @t98 () (tptp.app @t1 @t2)) % 59.52/59.76 (define @t99 () (= (tptp.cons @t12 @t98) (tptp.app @t81 @t2))) % 59.52/59.76 (define @t100 () (forall @t16 (=> @t36 @t99))) % 59.52/59.76 (define @t101 () (=> @t21 @t100)) % 59.52/59.76 (define @t102 () (forall @t7 @t101)) % 59.52/59.76 (define @t103 () (=> @t17 @t102)) % 59.52/59.76 (define @t104 () (forall @t9 @t103)) % 59.52/59.76 (define @t105 () (tptp.app tptp.nil @t2)) % 59.52/59.76 (define @t106 () (=> @t17 (= @t105 @t2))) % 59.52/59.76 (define @t107 () (forall @t9 @t106)) % 59.52/59.76 (define @t108 () (tptp.leq @t1 @t2)) % 59.52/59.76 (define @t109 () (tptp.leq @t2 @t1)) % 59.52/59.76 (define @t110 () (tptp.geq @t2 @t1)) % 59.52/59.76 (define @t111 () (tptp.lt @t1 @t2)) % 59.52/59.76 (define @t112 () (tptp.lt @t2 @t1)) % 59.52/59.76 (define @t113 () (tptp.lt @t2 @t12)) % 59.52/59.76 (define @t114 () (tptp.gt @t2 @t1)) % 59.52/59.76 (define @t115 () (tptp.memberP @t12 @t2)) % 59.52/59.76 (define @t116 () (tptp.app @t12 @t2)) % 59.52/59.76 (define @t117 () (tptp.cons @t2 tptp.nil)) % 59.52/59.76 (define @t118 () (tptp.hd @t1)) % 59.52/59.76 (define @t119 () (= tptp.nil @t1)) % 59.52/59.76 (define @t120 () (not @t119)) % 59.52/59.76 (define @t121 () (tptp.cons @t2 @t1)) % 59.52/59.76 (define @t122 () (tptp.duplicatefreeP @t117)) % 59.52/59.76 (define @t123 () (forall @t9 (=> @t8 @t122))) % 59.52/59.76 (define @t124 () (tptp.equalelemsP @t117)) % 59.52/59.76 (define @t125 () (forall @t9 (=> @t8 @t124))) % 59.52/59.76 (define @t126 () (= @t12 @t2)) % 59.52/59.76 (define @t127 () (= @t69 (tptp.app @t18 @t2))) % 59.52/59.76 (define @t128 () (forall @t7 (=> @t6 @t127))) % 59.52/59.76 (define @t129 () (=> @t17 @t128)) % 59.52/59.76 (define @t130 () (forall @t9 @t129)) % 59.52/59.76 (define @t131 () (= (tptp.app @t93 @t12) (tptp.app @t2 @t19))) % 59.52/59.76 (define @t132 () (forall @t16 (=> @t15 @t131))) % 59.52/59.76 (define @t133 () (=> @t21 @t132)) % 59.52/59.76 (define @t134 () (forall @t7 @t133)) % 59.52/59.76 (define @t135 () (=> @t17 @t134)) % 59.52/59.76 (define @t136 () (forall @t9 @t135)) % 59.52/59.76 (define @t137 () (and @t119 @t86)) % 59.52/59.76 (define @t138 () (= tptp.nil @t93)) % 59.52/59.76 (define @t139 () (= @t138 @t137)) % 59.52/59.76 (define @t140 () (=> @t21 @t139)) % 59.52/59.76 (define @t141 () (forall @t7 @t140)) % 59.52/59.76 (define @t142 () (=> @t17 @t141)) % 59.52/59.76 (define @t143 () (forall @t9 @t142)) % 59.52/59.76 (define @t144 () (not (= tptp.nil @t12))) % 59.52/59.76 (define @t145 () (not (= tptp.nil @t10))) % 59.52/59.76 (define @t146 () (or @t145 @t144)) % 59.52/59.76 (define @t147 () (@var "X3" $$unsorted)) % 59.52/59.76 (define @t148 () (not (tptp.memberP @t10 @t147))) % 59.52/59.76 (define @t149 () (tptp.cons @t147 tptp.nil)) % 59.52/59.76 (define @t150 () (not (= @t149 @t12))) % 59.52/59.76 (define @t151 () (or @t150 @t148)) % 59.52/59.76 (define @t152 () (tptp.ssItem @t147)) % 59.52/59.76 (define @t153 () (=> @t152 @t151)) % 59.52/59.76 (define @t154 () (@list @t147)) % 59.52/59.76 (define @t155 () (forall @t154 @t153)) % 59.52/59.76 (define @t156 () (and @t155 @t146)) % 59.52/59.76 (define @t157 () (= @t28 @t27)) % 59.52/59.76 (define @t158 () (@var "X2" $$unsorted)) % 59.52/59.76 (define @t159 () (tptp.cons @t27 tptp.nil)) % 59.52/59.76 (define @t160 () (tptp.cons @t28 tptp.nil)) % 59.52/59.76 (define @t161 () (@var "X1" $$unsorted)) % 59.52/59.76 (define @t162 () (tptp.app (tptp.app @t161 @t160) @t159)) % 59.52/59.76 (define @t163 () (tptp.app @t162 @t158)) % 59.52/59.76 (define @t164 () (not (= @t163 @t2))) % 59.52/59.76 (define @t165 () (or @t164 @t157)) % 59.52/59.76 (define @t166 () (tptp.ssList @t158)) % 59.52/59.76 (define @t167 () (=> @t166 @t165)) % 59.52/59.76 (define @t168 () (@list @t158)) % 59.52/59.76 (define @t169 () (forall @t168 @t167)) % 59.52/59.76 (define @t170 () (tptp.ssList @t161)) % 59.52/59.76 (define @t171 () (=> @t170 @t169)) % 59.52/59.76 (define @t172 () (@list @t161)) % 59.52/59.76 (define @t173 () (forall @t172 @t171)) % 59.52/59.76 (define @t174 () (tptp.ssItem @t27)) % 59.52/59.76 (define @t175 () (=> @t174 @t173)) % 59.52/59.76 (define @t176 () (forall @t33 @t175)) % 59.52/59.76 (define @t177 () (tptp.ssItem @t28)) % 59.52/59.76 (define @t178 () (=> @t177 @t176)) % 59.52/59.76 (define @t179 () (forall @t35 @t178)) % 59.52/59.76 (define @t180 () (not (= @t2 @t12))) % 59.52/59.76 (define @t181 () (not (= @t1 @t10))) % 59.52/59.76 (define @t182 () (or @t181 @t180 @t179 @t156)) % 59.52/59.76 (define @t183 () (=> @t13 @t182)) % 59.52/59.76 (define @t184 () (forall @t14 @t183)) % 59.52/59.76 (define @t185 () (=> @t15 @t184)) % 59.52/59.76 (define @t186 () (forall @t16 @t185)) % 59.52/59.76 (define @t187 () (=> @t21 @t186)) % 59.52/59.76 (define @t188 () (forall @t7 @t187)) % 59.52/59.76 (define @t189 () (=> @t17 @t188)) % 59.52/59.76 (define @t190 () (forall @t9 @t189)) % 59.52/59.76 (define @t191 () (not @t190)) % 59.52/59.76 (define @t192 () (@var "BOUND_VARIABLE_9287" $$unsorted)) % 59.52/59.76 (define @t193 () (tptp.cons @t192 @t1)) % 59.52/59.76 (define @t194 () (not (= @t2 @t193))) % 59.52/59.76 (define @t195 () (not (tptp.ssItem @t192))) % 59.52/59.76 (define @t196 () (not @t21)) % 59.52/59.76 (define @t197 () (or @t196 @t195 @t194)) % 59.52/59.76 (define @t198 () (@list @t1 @t192)) % 59.52/59.76 (define @t199 () (not (forall @t198 @t197))) % 59.52/59.76 (define @t200 () (= @t2 tptp.nil)) % 59.52/59.76 (define @t201 () (not @t17)) % 59.52/59.76 (define @t202 () (or @t201 @t200 @t199)) % 59.52/59.76 (define @t203 () (or @t200 @t199)) % 59.52/59.76 (define @t204 () (or @t195 @t194)) % 59.52/59.76 (define @t205 () (or @t196 @t204)) % 59.52/59.76 (define @t206 () (forall @t198 @t205)) % 59.52/59.76 (define @t207 () (@list @t192)) % 59.52/59.76 (define @t208 () (forall @t207 @t205)) % 59.52/59.76 (define @t209 () (forall @t207 @t204)) % 59.52/59.76 (define @t210 () (@list @t12)) % 59.52/59.76 (define @t211 () (or @t196 @t209)) % 59.52/59.76 (define @t212 () (= @t2 @t81)) % 59.52/59.76 (define @t213 () (not @t36)) % 59.52/59.76 (define @t214 () (forall @t16 (or @t213 (not @t212)))) % 59.52/59.76 (define @t215 () (not @t214)) % 59.52/59.76 (define @t216 () (and @t21 @t215)) % 59.52/59.76 (define @t217 () (forall @t7 (not @t216))) % 59.52/59.76 (define @t218 () (not @t217)) % 59.52/59.76 (define @t219 () (and @t36 @t212)) % 59.52/59.76 (define @t220 () (forall @t16 (not @t219))) % 59.52/59.76 (define @t221 () (not @t220)) % 59.52/59.76 (define @t222 () (@var "BOUND_VARIABLE_11192" $$unsorted)) % 59.52/59.76 (define @t223 () (@var "BOUND_VARIABLE_11188" $$unsorted)) % 59.52/59.76 (define @t224 () (@var "BOUND_VARIABLE_11186" $$unsorted)) % 59.52/59.76 (define @t225 () (@var "BOUND_VARIABLE_11190" $$unsorted)) % 59.52/59.76 (define @t226 () (tptp.app (tptp.app (tptp.app @t225 (tptp.cons @t224 tptp.nil)) (tptp.cons @t223 tptp.nil)) @t222)) % 59.52/59.76 (define @t227 () (@var "BOUND_VARIABLE_11211" $$unsorted)) % 59.52/59.76 (define @t228 () (not (= tptp.nil @t227))) % 59.52/59.76 (define @t229 () (@var "BOUND_VARIABLE_11213" $$unsorted)) % 59.52/59.76 (define @t230 () (not (tptp.memberP @t227 @t229))) % 59.52/59.76 (define @t231 () (tptp.cons @t229 tptp.nil)) % 59.52/59.76 (define @t232 () (not (tptp.ssItem @t229))) % 59.52/59.76 (define @t233 () (or @t232 (not (= @t226 @t231)) @t230)) % 59.52/59.76 (define @t234 () (and @t233 (or @t228 (not (= tptp.nil @t226))))) % 59.52/59.76 (define @t235 () (not (tptp.ssList @t227))) % 59.52/59.76 (define @t236 () (not (tptp.ssList @t222))) % 59.52/59.76 (define @t237 () (not (tptp.ssList @t225))) % 59.52/59.76 (define @t238 () (= @t224 @t223)) % 59.52/59.76 (define @t239 () (not (tptp.ssItem @t223))) % 59.52/59.76 (define @t240 () (not (tptp.ssItem @t224))) % 59.52/59.76 (define @t241 () (not (tptp.ssList @t226))) % 59.52/59.76 (define @t242 () (or @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234)) % 59.52/59.76 (define @t243 () (@list @t224 @t223 @t225 @t222 @t227 @t229)) % 59.52/59.76 (define @t244 () (forall @t243 @t242)) % 59.52/59.76 (define @t245 () (@quantifiers_skolemize @t244 3)) % 59.52/59.76 (define @t246 () (not (= @t245 @t193))) % 59.52/59.76 (define @t247 () (or @t196 @t195 @t246)) % 59.52/59.76 (define @t248 () (forall @t198 @t247)) % 59.52/59.76 (define @t249 () (not @t248)) % 59.52/59.76 (define @t250 () (tptp.ssList @t245)) % 59.52/59.76 (define @t251 () (not @t250)) % 59.52/59.76 (define @t252 () (or @t251 (= @t245 tptp.nil) @t249)) % 59.52/59.76 (define @t253 () (forall @t9 @t202)) % 59.52/59.76 (define @t254 () (forall @t198 (or @t196 @t195 (not (= @t193 @t245))))) % 59.52/59.76 (define @t255 () (not @t254)) % 59.52/59.76 (define @t256 () (= tptp.nil @t245)) % 59.52/59.76 (define @t257 () (or @t251 @t256 @t255)) % 59.52/59.76 (define @t258 () (@list false)) % 59.52/59.76 (define @t259 () (@var "BOUND_VARIABLE_9097" $$unsorted)) % 59.52/59.76 (define @t260 () (@var "BOUND_VARIABLE_9093" $$unsorted)) % 59.52/59.76 (define @t261 () (@var "BOUND_VARIABLE_9095" $$unsorted)) % 59.52/59.76 (define @t262 () (tptp.app @t261 (tptp.cons @t1 (tptp.cons @t260 @t259)))) % 59.52/59.76 (define @t263 () (not (= @t2 @t262))) % 59.52/59.76 (define @t264 () (not (tptp.ssList @t259))) % 59.52/59.76 (define @t265 () (not (tptp.ssList @t261))) % 59.52/59.76 (define @t266 () (= @t1 @t260)) % 59.52/59.76 (define @t267 () (not (tptp.ssItem @t260))) % 59.52/59.76 (define @t268 () (not @t6)) % 59.52/59.76 (define @t269 () (or @t268 @t267 @t266 @t265 @t264 @t263)) % 59.52/59.76 (define @t270 () (@list @t1 @t260 @t261 @t259)) % 59.52/59.76 (define @t271 () (= @t65 (forall @t270 @t269))) % 59.52/59.76 (define @t272 () (or @t267 @t266 @t265 @t264 @t263)) % 59.52/59.76 (define @t273 () (or @t268 @t272)) % 59.52/59.76 (define @t274 () (forall @t270 @t273)) % 59.52/59.76 (define @t275 () (@list @t260 @t261 @t259)) % 59.52/59.76 (define @t276 () (forall @t275 @t273)) % 59.52/59.76 (define @t277 () (forall @t275 @t272)) % 59.52/59.76 (define @t278 () (@var "BOUND_VARIABLE_9072" $$unsorted)) % 59.52/59.76 (define @t279 () (@var "BOUND_VARIABLE_9070" $$unsorted)) % 59.52/59.76 (define @t280 () (or @t268 @t277)) % 59.52/59.76 (define @t281 () (not (= @t2 (tptp.app @t279 (tptp.cons @t1 (tptp.cons @t12 @t278)))))) % 59.52/59.76 (define @t282 () (not (tptp.ssList @t278))) % 59.52/59.76 (define @t283 () (not (tptp.ssList @t279))) % 59.52/59.76 (define @t284 () (or @t213 @t38 @t283 @t282 @t281)) % 59.52/59.76 (define @t285 () (@list @t12 @t279 @t278)) % 59.52/59.76 (define @t286 () (forall @t285 @t284)) % 59.52/59.76 (define @t287 () (or @t283 @t282 @t281)) % 59.52/59.76 (define @t288 () (or @t213 @t38 @t287)) % 59.52/59.76 (define @t289 () (forall @t285 @t288)) % 59.52/59.76 (define @t290 () (@list @t279 @t278)) % 59.52/59.76 (define @t291 () (forall @t290 @t288)) % 59.52/59.76 (define @t292 () (forall @t290 @t287)) % 59.52/59.76 (define @t293 () (@var "BOUND_VARIABLE_9050" $$unsorted)) % 59.52/59.76 (define @t294 () (or @t213 @t38 @t292)) % 59.52/59.76 (define @t295 () (not (= @t2 (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t293)))))) % 59.52/59.76 (define @t296 () (not (tptp.ssList @t293))) % 59.52/59.76 (define @t297 () (not @t13)) % 59.52/59.76 (define @t298 () (or @t297 @t296 @t295)) % 59.52/59.76 (define @t299 () (@list @t10 @t293)) % 59.52/59.76 (define @t300 () (forall @t299 @t298)) % 59.52/59.76 (define @t301 () (or @t213 @t38 @t300)) % 59.52/59.76 (define @t302 () (or @t38 @t300)) % 59.52/59.76 (define @t303 () (or @t296 @t295)) % 59.52/59.76 (define @t304 () (or @t297 @t303)) % 59.52/59.76 (define @t305 () (forall @t299 @t304)) % 59.52/59.76 (define @t306 () (@list @t293)) % 59.52/59.76 (define @t307 () (forall @t306 @t304)) % 59.52/59.76 (define @t308 () (forall @t306 @t303)) % 59.52/59.76 (define @t309 () (or @t297 @t308)) % 59.52/59.76 (define @t310 () (= @t2 @t55)) % 59.52/59.76 (define @t311 () (not @t310)) % 59.52/59.76 (define @t312 () (not @t34)) % 59.52/59.76 (define @t313 () (or @t312 @t311)) % 59.52/59.76 (define @t314 () (forall @t35 @t313)) % 59.52/59.76 (define @t315 () (or @t297 @t314)) % 59.52/59.76 (define @t316 () (forall @t14 @t315)) % 59.52/59.76 (define @t317 () (or @t38 @t316)) % 59.52/59.76 (define @t318 () (or @t38 @t315)) % 59.52/59.76 (define @t319 () (or @t297 @t38 @t314)) % 59.52/59.76 (define @t320 () (or @t38 @t314)) % 59.52/59.76 (define @t321 () (or @t38 @t313)) % 59.52/59.76 (define @t322 () (or @t312 @t311 @t38)) % 59.52/59.76 (define @t323 () (=> @t310 @t38)) % 59.52/59.76 (define @t324 () (@quantifiers_skolemize @t244 1)) % 59.52/59.76 (define @t325 () (tptp.cons @t324 tptp.nil)) % 59.52/59.76 (define @t326 () (@quantifiers_skolemize @t244 0)) % 59.52/59.76 (define @t327 () (tptp.cons @t326 tptp.nil)) % 59.52/59.76 (define @t328 () (@quantifiers_skolemize @t244 2)) % 59.52/59.76 (define @t329 () (tptp.app @t328 @t327)) % 59.52/59.76 (define @t330 () (tptp.app @t329 @t325)) % 59.52/59.76 (define @t331 () (tptp.app @t330 @t245)) % 59.52/59.76 (define @t332 () (not (= @t331 @t262))) % 59.52/59.76 (define @t333 () (or @t268 @t267 @t266 @t265 @t264 @t332)) % 59.52/59.76 (define @t334 () (forall @t270 @t333)) % 59.52/59.76 (define @t335 () (tptp.equalelemsP @t331)) % 59.52/59.76 (define @t336 () (= @t335 @t334)) % 59.52/59.76 (define @t337 () (tptp.ssList @t331)) % 59.52/59.76 (define @t338 () (not @t337)) % 59.52/59.76 (define @t339 () (or @t338 @t336)) % 59.52/59.76 (define @t340 () (forall @t9 (or @t201 @t271))) % 59.52/59.76 (define @t341 () (@list @t331)) % 59.52/59.76 (define @t342 () (forall @t270 (or @t268 @t267 @t266 @t265 @t264 (not (= @t262 @t331))))) % 59.52/59.76 (define @t343 () (= @t335 @t342)) % 59.52/59.76 (define @t344 () (or @t338 @t343)) % 59.52/59.76 (define @t345 () (not (= @t226 tptp.nil))) % 59.52/59.76 (define @t346 () (or @t228 @t345)) % 59.52/59.76 (define @t347 () (and @t233 @t346)) % 59.52/59.76 (define @t348 () (not (= @t226 @t226))) % 59.52/59.76 (define @t349 () (or @t241 @t240 @t239 @t238 @t237 @t236 @t348 @t235 @t347)) % 59.52/59.76 (define @t350 () (not @t200)) % 59.52/59.76 (define @t351 () (or @t232 (not (= @t2 @t231)) @t230)) % 59.52/59.76 (define @t352 () (and @t351 (or @t228 @t350))) % 59.52/59.76 (define @t353 () (not (= @t2 @t226))) % 59.52/59.76 (define @t354 () (or @t353 @t201 @t240 @t239 @t238 @t237 @t236 @t353 @t235 @t352)) % 59.52/59.76 (define @t355 () (or @t201 @t240 @t239 @t238 @t237 @t236 @t353 @t235 @t352)) % 59.52/59.76 (define @t356 () (forall @t9 @t355)) % 59.52/59.76 (define @t357 () (forall @t243 @t356)) % 59.52/59.76 (define @t358 () (forall (@list @t224 @t223 @t225 @t222 @t227 @t229 @t2) @t355)) % 59.52/59.76 (define @t359 () (@list @t2 @t224 @t223 @t225 @t222 @t227 @t229)) % 59.52/59.76 (define @t360 () (not (= @t227 tptp.nil))) % 59.52/59.76 (define @t361 () (or @t360 @t350)) % 59.52/59.76 (define @t362 () (and @t351 @t361)) % 59.52/59.76 (define @t363 () (or @t201 @t240 @t239 @t238 @t237 @t236 @t353 @t235 @t362)) % 59.52/59.76 (define @t364 () (or @t235 @t362)) % 59.52/59.76 (define @t365 () (or @t240 @t239 @t238 @t237 @t236 @t353)) % 59.52/59.76 (define @t366 () (or @t201 @t365 @t364)) % 59.52/59.76 (define @t367 () (forall @t359 @t366)) % 59.52/59.76 (define @t368 () (forall @t243 @t366)) % 59.52/59.76 (define @t369 () (forall (@list @t227 @t229) @t364)) % 59.52/59.76 (define @t370 () (@var "BOUND_VARIABLE_11167" $$unsorted)) % 59.52/59.76 (define @t371 () (forall (@list @t224 @t223 @t225 @t222) @t365)) % 59.52/59.76 (define @t372 () (@var "BOUND_VARIABLE_11018" $$unsorted)) % 59.52/59.76 (define @t373 () (@var "BOUND_VARIABLE_11016" $$unsorted)) % 59.52/59.76 (define @t374 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 59.52/59.76 (define @t375 () (or @t201 @t371 @t369)) % 59.52/59.76 (define @t376 () (= @t1 tptp.nil)) % 59.52/59.76 (define @t377 () (not @t376)) % 59.52/59.76 (define @t378 () (or @t377 @t350)) % 59.52/59.76 (define @t379 () (or (not (tptp.ssItem @t370)) (not (= @t2 (tptp.cons @t370 tptp.nil))) (not (tptp.memberP @t1 @t370)))) % 59.52/59.76 (define @t380 () (and @t379 @t378)) % 59.52/59.76 (define @t381 () (or @t196 @t380)) % 59.52/59.76 (define @t382 () (forall (@list @t1 @t370) @t381)) % 59.52/59.76 (define @t383 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t373 @t160) (tptp.cons @t374 tptp.nil)) @t372)))) % 59.52/59.76 (define @t384 () (not (tptp.ssList @t372))) % 59.52/59.76 (define @t385 () (not (tptp.ssList @t373))) % 59.52/59.76 (define @t386 () (= @t28 @t374)) % 59.52/59.76 (define @t387 () (not (tptp.ssItem @t374))) % 59.52/59.76 (define @t388 () (not @t177)) % 59.52/59.76 (define @t389 () (or @t388 @t387 @t386 @t385 @t384 @t383)) % 59.52/59.76 (define @t390 () (@list @t28 @t374 @t373 @t372)) % 59.52/59.76 (define @t391 () (forall @t390 @t389)) % 59.52/59.76 (define @t392 () (or @t201 @t391 @t382)) % 59.52/59.76 (define @t393 () (or @t391 @t201 @t382)) % 59.52/59.76 (define @t394 () (@list @t370)) % 59.52/59.76 (define @t395 () (forall @t394 @t381)) % 59.52/59.76 (define @t396 () (forall @t394 @t378)) % 59.52/59.76 (define @t397 () (forall @t394 @t379)) % 59.52/59.76 (define @t398 () (@var "BOUND_VARIABLE_11142" $$unsorted)) % 59.52/59.76 (define @t399 () (@list @t398)) % 59.52/59.76 (define @t400 () (and @t397 @t396)) % 59.52/59.76 (define @t401 () (forall @t394 @t380)) % 59.52/59.76 (define @t402 () (or @t196 @t401)) % 59.52/59.76 (define @t403 () (and (forall (@list @t398) (or (not (tptp.ssItem @t398)) (not (= @t2 (tptp.cons @t398 tptp.nil))) (not (tptp.memberP @t1 @t398)))) @t378)) % 59.52/59.76 (define @t404 () (or @t196 @t403)) % 59.52/59.76 (define @t405 () (forall @t7 @t404)) % 59.52/59.76 (define @t406 () (or @t391 @t201 @t405)) % 59.52/59.76 (define @t407 () (or @t391 @t201 @t404)) % 59.52/59.76 (define @t408 () (or @t196 @t391 @t201 @t403)) % 59.52/59.76 (define @t409 () (or @t391 @t196 @t201 @t403)) % 59.52/59.76 (define @t410 () (@var "BOUND_VARIABLE_11113" $$unsorted)) % 59.52/59.76 (define @t411 () (@list @t410)) % 59.52/59.76 (define @t412 () (forall @t411 @t378)) % 59.52/59.76 (define @t413 () (not (tptp.memberP @t1 @t410))) % 59.52/59.76 (define @t414 () (tptp.cons @t410 tptp.nil)) % 59.52/59.76 (define @t415 () (not (tptp.ssItem @t410))) % 59.52/59.76 (define @t416 () (or @t415 (not (= @t2 @t414)) @t413)) % 59.52/59.76 (define @t417 () (forall @t411 @t416)) % 59.52/59.76 (define @t418 () (@list @t410)) % 59.52/59.76 (define @t419 () (and @t417 @t412)) % 59.52/59.76 (define @t420 () (and @t416 @t378)) % 59.52/59.76 (define @t421 () (forall @t411 @t420)) % 59.52/59.76 (define @t422 () (or @t201 @t421)) % 59.52/59.76 (define @t423 () (or @t201 @t420)) % 59.52/59.76 (define @t424 () (not (= @t2 @t2))) % 59.52/59.76 (define @t425 () (or @t201 @t424 @t420)) % 59.52/59.76 (define @t426 () (not (= @t12 tptp.nil))) % 59.52/59.76 (define @t427 () (or @t377 @t426)) % 59.52/59.76 (define @t428 () (or @t415 (not (= @t12 @t414)) @t413)) % 59.52/59.76 (define @t429 () (and @t428 @t427)) % 59.52/59.76 (define @t430 () (not @t15)) % 59.52/59.76 (define @t431 () (or @t180 @t430 @t180 @t429)) % 59.52/59.76 (define @t432 () (or @t430 @t180 @t429)) % 59.52/59.76 (define @t433 () (forall @t16 @t432)) % 59.52/59.76 (define @t434 () (forall @t411 @t433)) % 59.52/59.76 (define @t435 () (forall (@list @t410 @t12) @t432)) % 59.52/59.76 (define @t436 () (forall (@list @t12 @t410) @t432)) % 59.52/59.76 (define @t437 () (forall @t411 @t432)) % 59.52/59.76 (define @t438 () (forall @t411 @t427)) % 59.52/59.76 (define @t439 () (forall @t411 @t428)) % 59.52/59.76 (define @t440 () (@var "BOUND_VARIABLE_11088" $$unsorted)) % 59.52/59.76 (define @t441 () (@list @t440)) % 59.52/59.76 (define @t442 () (and @t439 @t438)) % 59.52/59.76 (define @t443 () (forall @t411 @t429)) % 59.52/59.76 (define @t444 () (or @t430 @t180 @t443)) % 59.52/59.76 (define @t445 () (and (forall (@list @t440) (or (not (tptp.ssItem @t440)) (not (= @t12 (tptp.cons @t440 tptp.nil))) (not (tptp.memberP @t1 @t440)))) @t427)) % 59.52/59.76 (define @t446 () (or @t430 @t180 @t445)) % 59.52/59.76 (define @t447 () (forall @t16 @t446)) % 59.52/59.76 (define @t448 () (or @t391 @t196 @t447)) % 59.52/59.76 (define @t449 () (or @t391 @t196 @t446)) % 59.52/59.76 (define @t450 () (or @t430 @t180 @t391 @t196 @t445)) % 59.52/59.76 (define @t451 () (or @t180 @t391 @t196 @t445)) % 59.52/59.76 (define @t452 () (@var "BOUND_VARIABLE_11061" $$unsorted)) % 59.52/59.76 (define @t453 () (@list @t452)) % 59.52/59.76 (define @t454 () (forall @t453 @t427)) % 59.52/59.76 (define @t455 () (not (= @t12 (tptp.cons @t452 tptp.nil)))) % 59.52/59.76 (define @t456 () (not (tptp.ssItem @t452))) % 59.52/59.76 (define @t457 () (or @t456 @t455 (not (tptp.memberP @t1 @t452)))) % 59.52/59.76 (define @t458 () (forall @t453 @t457)) % 59.52/59.76 (define @t459 () (@list @t452)) % 59.52/59.76 (define @t460 () (and @t458 @t454)) % 59.52/59.76 (define @t461 () (and @t457 @t427)) % 59.52/59.76 (define @t462 () (forall @t453 @t461)) % 59.52/59.76 (define @t463 () (or @t196 @t462)) % 59.52/59.76 (define @t464 () (or @t196 @t461)) % 59.52/59.76 (define @t465 () (not (= @t1 @t1))) % 59.52/59.76 (define @t466 () (or @t196 @t465 @t461)) % 59.52/59.76 (define @t467 () (or (not (= @t10 tptp.nil)) @t426)) % 59.52/59.76 (define @t468 () (or @t456 @t455 (not (tptp.memberP @t10 @t452)))) % 59.52/59.76 (define @t469 () (and @t468 @t467)) % 59.52/59.76 (define @t470 () (or @t181 @t297 @t181 @t469)) % 59.52/59.76 (define @t471 () (or @t297 @t181 @t469)) % 59.52/59.76 (define @t472 () (forall @t14 @t471)) % 59.52/59.76 (define @t473 () (forall @t453 @t472)) % 59.52/59.76 (define @t474 () (forall (@list @t452 @t10) @t471)) % 59.52/59.76 (define @t475 () (forall (@list @t10 @t452) @t471)) % 59.52/59.76 (define @t476 () (forall @t453 @t471)) % 59.52/59.76 (define @t477 () (forall @t453 @t467)) % 59.52/59.76 (define @t478 () (forall @t453 @t468)) % 59.52/59.76 (define @t479 () (and @t478 @t477)) % 59.52/59.76 (define @t480 () (forall @t453 @t469)) % 59.52/59.76 (define @t481 () (or @t297 @t181 @t480)) % 59.52/59.76 (define @t482 () (not (= @t12 @t149))) % 59.52/59.76 (define @t483 () (not @t152)) % 59.52/59.76 (define @t484 () (or @t483 @t482 @t148)) % 59.52/59.76 (define @t485 () (and (forall @t154 @t484) @t467)) % 59.52/59.76 (define @t486 () (or @t297 @t181 @t485)) % 59.52/59.76 (define @t487 () (forall @t14 @t486)) % 59.52/59.76 (define @t488 () (or @t180 @t391 @t487)) % 59.52/59.76 (define @t489 () (or @t180 @t391 @t486)) % 59.52/59.76 (define @t490 () (or @t297 @t181 @t180 @t391 @t485)) % 59.52/59.76 (define @t491 () (or @t181 @t180 @t391 @t485)) % 59.52/59.76 (define @t492 () (or @t482 @t148)) % 59.52/59.76 (define @t493 () (or @t387 @t386 @t385 @t384 @t383)) % 59.52/59.76 (define @t494 () (or @t388 @t493)) % 59.52/59.76 (define @t495 () (forall @t390 @t494)) % 59.52/59.76 (define @t496 () (@list @t374 @t373 @t372)) % 59.52/59.76 (define @t497 () (forall @t496 @t494)) % 59.52/59.76 (define @t498 () (forall @t496 @t493)) % 59.52/59.76 (define @t499 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 59.52/59.76 (define @t500 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 59.52/59.76 (define @t501 () (or @t388 @t498)) % 59.52/59.76 (define @t502 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t500 @t160) @t159) @t499)))) % 59.52/59.76 (define @t503 () (not (tptp.ssList @t499))) % 59.52/59.76 (define @t504 () (not (tptp.ssList @t500))) % 59.52/59.76 (define @t505 () (not @t174)) % 59.52/59.76 (define @t506 () (or @t505 @t157 @t504 @t503 @t502)) % 59.52/59.76 (define @t507 () (@list @t27 @t500 @t499)) % 59.52/59.76 (define @t508 () (forall @t507 @t506)) % 59.52/59.76 (define @t509 () (or @t504 @t503 @t502)) % 59.52/59.76 (define @t510 () (or @t505 @t157 @t509)) % 59.52/59.76 (define @t511 () (forall @t507 @t510)) % 59.52/59.76 (define @t512 () (@list @t500 @t499)) % 59.52/59.76 (define @t513 () (forall @t512 @t510)) % 59.52/59.76 (define @t514 () (forall @t512 @t509)) % 59.52/59.76 (define @t515 () (@var "BOUND_VARIABLE_10971" $$unsorted)) % 59.52/59.76 (define @t516 () (or @t505 @t157 @t514)) % 59.52/59.76 (define @t517 () (not (= @t2 (tptp.app @t162 @t515)))) % 59.52/59.76 (define @t518 () (not (tptp.ssList @t515))) % 59.52/59.76 (define @t519 () (not @t170)) % 59.52/59.76 (define @t520 () (or @t519 @t518 @t517)) % 59.52/59.76 (define @t521 () (@list @t161 @t515)) % 59.52/59.76 (define @t522 () (forall @t521 @t520)) % 59.52/59.76 (define @t523 () (or @t505 @t157 @t522)) % 59.52/59.76 (define @t524 () (or @t157 @t522)) % 59.52/59.76 (define @t525 () (or @t518 @t517)) % 59.52/59.76 (define @t526 () (or @t519 @t525)) % 59.52/59.76 (define @t527 () (forall @t521 @t526)) % 59.52/59.76 (define @t528 () (@list @t515)) % 59.52/59.76 (define @t529 () (forall @t528 @t526)) % 59.52/59.76 (define @t530 () (forall @t528 @t525)) % 59.52/59.76 (define @t531 () (or @t519 @t530)) % 59.52/59.76 (define @t532 () (not (= @t2 @t163))) % 59.52/59.76 (define @t533 () (not @t166)) % 59.52/59.76 (define @t534 () (or @t533 @t532)) % 59.52/59.76 (define @t535 () (forall @t168 @t534)) % 59.52/59.76 (define @t536 () (or @t519 @t535)) % 59.52/59.76 (define @t537 () (forall @t172 @t536)) % 59.52/59.76 (define @t538 () (or @t157 @t537)) % 59.52/59.76 (define @t539 () (or @t157 @t536)) % 59.52/59.76 (define @t540 () (or @t519 @t157 @t535)) % 59.52/59.76 (define @t541 () (or @t157 @t535)) % 59.52/59.76 (define @t542 () (or @t157 @t534)) % 59.52/59.76 (define @t543 () (or @t533 @t532 @t157)) % 59.52/59.76 (define @t544 () (or @t532 @t157)) % 59.52/59.76 (define @t545 () (= tptp.nil @t331)) % 59.52/59.76 (define @t546 () (not @t545)) % 59.52/59.76 (define @t547 () (@quantifiers_skolemize @t244 4)) % 59.52/59.76 (define @t548 () (or (not (= tptp.nil @t547)) @t546)) % 59.52/59.76 (define @t549 () (@quantifiers_skolemize @t244 5)) % 59.52/59.76 (define @t550 () (tptp.cons @t549 tptp.nil)) % 59.52/59.76 (define @t551 () (= @t331 @t550)) % 59.52/59.76 (define @t552 () (not @t551)) % 59.52/59.76 (define @t553 () (tptp.ssItem @t549)) % 59.52/59.76 (define @t554 () (not @t553)) % 59.52/59.76 (define @t555 () (or @t554 @t552 (not (tptp.memberP @t547 @t549)))) % 59.52/59.76 (define @t556 () (and @t555 @t548)) % 59.52/59.76 (define @t557 () (tptp.ssList @t328)) % 59.52/59.76 (define @t558 () (not @t557)) % 59.52/59.76 (define @t559 () (= @t326 @t324)) % 59.52/59.76 (define @t560 () (tptp.ssItem @t324)) % 59.52/59.76 (define @t561 () (not @t560)) % 59.52/59.76 (define @t562 () (tptp.ssItem @t326)) % 59.52/59.76 (define @t563 () (not @t562)) % 59.52/59.76 (define @t564 () (or @t338 @t563 @t561 @t559 @t558 @t251 (not (tptp.ssList @t547)) @t556)) % 59.52/59.76 (define @t565 () (@list true)) % 59.52/59.76 (define @t566 () (@list @t564)) % 59.52/59.76 (define @t567 () (@list false false)) % 59.52/59.76 (define @t568 () (@list @t549)) % 59.52/59.76 (define @t569 () (@var "BOUND_VARIABLE_10622" $$unsorted)) % 59.52/59.76 (define @t570 () (and (= @t569 tptp.nil) @t200)) % 59.52/59.76 (define @t571 () (= tptp.nil (tptp.app @t2 @t569))) % 59.52/59.76 (define @t572 () (= @t571 @t570)) % 59.52/59.76 (define @t573 () (not (tptp.ssList @t569))) % 59.52/59.76 (define @t574 () (or @t201 @t573 @t572)) % 59.52/59.76 (define @t575 () (or @t573 @t572)) % 59.52/59.76 (define @t576 () (or @t201 @t575)) % 59.52/59.76 (define @t577 () (@list @t2 @t569)) % 59.52/59.76 (define @t578 () (forall @t577 @t576)) % 59.52/59.76 (define @t579 () (@list @t569)) % 59.52/59.76 (define @t580 () (forall @t579 @t576)) % 59.52/59.76 (define @t581 () (forall @t579 @t575)) % 59.52/59.76 (define @t582 () (@list @t1)) % 59.52/59.76 (define @t583 () (or @t201 @t581)) % 59.52/59.76 (define @t584 () (= @t138 (and @t376 @t200))) % 59.52/59.76 (define @t585 () (forall @t7 (or @t196 @t584))) % 59.52/59.76 (define @t586 () (and @t256 (= @t330 tptp.nil))) % 59.52/59.76 (define @t587 () (= @t545 @t586)) % 59.52/59.76 (define @t588 () (tptp.ssList @t330)) % 59.52/59.76 (define @t589 () (not @t588)) % 59.52/59.76 (define @t590 () (or @t589 @t251 @t587)) % 59.52/59.76 (define @t591 () (forall @t577 (or @t201 @t573 (= @t571 (and (= tptp.nil @t569) @t200))))) % 59.52/59.76 (define @t592 () (= tptp.nil @t330)) % 59.52/59.76 (define @t593 () (and @t256 @t592)) % 59.52/59.76 (define @t594 () (= @t545 @t593)) % 59.52/59.76 (define @t595 () (or @t589 @t251 @t594)) % 59.52/59.76 (define @t596 () (@list @t591)) % 59.52/59.76 (define @t597 () (@var "BOUND_VARIABLE_9394" $$unsorted)) % 59.52/59.76 (define @t598 () (tptp.ssList (tptp.app @t2 @t597))) % 59.52/59.76 (define @t599 () (not (tptp.ssList @t597))) % 59.52/59.76 (define @t600 () (or @t599 @t598)) % 59.52/59.76 (define @t601 () (or @t201 @t600)) % 59.52/59.76 (define @t602 () (forall (@list @t2 @t597) @t601)) % 59.52/59.76 (define @t603 () (@list @t597)) % 59.52/59.76 (define @t604 () (forall @t603 @t601)) % 59.52/59.76 (define @t605 () (forall @t603 @t600)) % 59.52/59.76 (define @t606 () (or @t201 @t605)) % 59.52/59.76 (define @t607 () (forall @t7 (or @t196 @t94))) % 59.52/59.76 (define @t608 () (@list @t329 @t325)) % 59.52/59.76 (define @t609 () (@var "BOUND_VARIABLE_9150" $$unsorted)) % 59.52/59.76 (define @t610 () (tptp.ssList (tptp.cons @t609 @t2))) % 59.52/59.76 (define @t611 () (not (tptp.ssItem @t609))) % 59.52/59.76 (define @t612 () (or @t611 @t610)) % 59.52/59.76 (define @t613 () (or @t201 @t612)) % 59.52/59.76 (define @t614 () (forall (@list @t2 @t609) @t613)) % 59.52/59.76 (define @t615 () (@list @t609)) % 59.52/59.76 (define @t616 () (forall @t615 @t613)) % 59.52/59.76 (define @t617 () (forall @t615 @t612)) % 59.52/59.76 (define @t618 () (or @t201 @t617)) % 59.52/59.76 (define @t619 () (forall @t7 (or @t268 @t70))) % 59.52/59.76 (define @t620 () (@list tptp.nil @t324)) % 59.52/59.76 (define @t621 () (tptp.ssList @t325)) % 59.52/59.76 (define @t622 () (not @t74)) % 59.52/59.76 (define @t623 () (or @t622 @t561 @t621)) % 59.52/59.76 (define @t624 () (@list false false false)) % 59.52/59.76 (define @t625 () (tptp.ssList @t327)) % 59.52/59.76 (define @t626 () (or @t622 @t563 @t625)) % 59.52/59.76 (define @t627 () (tptp.ssList @t329)) % 59.52/59.76 (define @t628 () (not @t625)) % 59.52/59.76 (define @t629 () (or @t558 @t628 @t627)) % 59.52/59.76 (define @t630 () (not @t621)) % 59.52/59.76 (define @t631 () (not @t627)) % 59.52/59.76 (define @t632 () (or @t631 @t630 @t588)) % 59.52/59.76 (define @t633 () (= tptp.nil @t325)) % 59.52/59.76 (define @t634 () (and @t633 (= @t329 tptp.nil))) % 59.52/59.76 (define @t635 () (= @t592 @t634)) % 59.52/59.76 (define @t636 () (or @t631 @t630 @t635)) % 59.52/59.76 (define @t637 () (and @t633 (= tptp.nil @t329))) % 59.52/59.76 (define @t638 () (= @t592 @t637)) % 59.52/59.76 (define @t639 () (or @t631 @t630 @t638)) % 59.52/59.76 (define @t640 () (@var "BOUND_VARIABLE_9173" $$unsorted)) % 59.52/59.76 (define @t641 () (not (= @t2 (tptp.cons @t640 @t2)))) % 59.52/59.76 (define @t642 () (not (tptp.ssItem @t640))) % 59.52/59.76 (define @t643 () (or @t642 @t641)) % 59.52/59.76 (define @t644 () (or @t201 @t643)) % 59.52/59.76 (define @t645 () (forall (@list @t2 @t640) @t644)) % 59.52/59.76 (define @t646 () (@list @t640)) % 59.52/59.76 (define @t647 () (forall @t646 @t644)) % 59.52/59.76 (define @t648 () (forall @t646 @t643)) % 59.52/59.76 (define @t649 () (or @t201 @t648)) % 59.52/59.76 (define @t650 () (not (= @t2 @t69))) % 59.52/59.76 (define @t651 () (forall @t7 (or @t268 @t650))) % 59.52/59.76 (define @t652 () (not @t633)) % 59.52/59.76 (define @t653 () (or @t622 @t561 @t652)) % 59.52/59.76 (define @t654 () (not @t637)) % 59.52/59.76 (define @t655 () (not @t592)) % 59.52/59.76 (define @t656 () (@list true false)) % 59.52/59.76 (define @t657 () (not @t593)) % 59.52/59.76 (define @t658 () (@list @t555)) % 59.52/59.76 (define @t659 () (tptp.equalelemsP @t550)) % 59.52/59.76 (define @t660 () (or @t554 @t659)) % 59.52/59.76 (define @t661 () (tptp.cons @t324 @t245)) % 59.52/59.76 (define @t662 () (tptp.app @t328 (tptp.cons @t326 @t661))) % 59.52/59.76 (define @t663 () (not (= @t662 @t331))) % 59.52/59.76 (define @t664 () (or @t563 @t561 @t559 @t558 @t251 @t663)) % 59.52/59.76 (define @t665 () (= @t331 @t662)) % 59.52/59.76 (define @t666 () (not @t665)) % 59.52/59.76 (define @t667 () (or @t563 @t561 @t559 @t558 @t251 @t666)) % 59.52/59.76 (define @t668 () (@list @t342)) % 59.52/59.76 (define @t669 () (@var "BOUND_VARIABLE_9431" $$unsorted)) % 59.52/59.76 (define @t670 () (@var "BOUND_VARIABLE_9433" $$unsorted)) % 59.52/59.76 (define @t671 () (= (tptp.cons @t670 (tptp.app @t669 @t2)) (tptp.app (tptp.cons @t670 @t669) @t2))) % 59.52/59.76 (define @t672 () (not (tptp.ssItem @t670))) % 59.52/59.76 (define @t673 () (not (tptp.ssList @t669))) % 59.52/59.76 (define @t674 () (or @t201 @t673 @t672 @t671)) % 59.52/59.76 (define @t675 () (or @t673 @t672 @t671)) % 59.52/59.76 (define @t676 () (or @t201 @t675)) % 59.52/59.76 (define @t677 () (@list @t2 @t669 @t670)) % 59.52/59.76 (define @t678 () (forall @t677 @t676)) % 59.52/59.76 (define @t679 () (@list @t669 @t670)) % 59.52/59.76 (define @t680 () (forall @t679 @t676)) % 59.52/59.76 (define @t681 () (forall @t679 @t675)) % 59.52/59.76 (define @t682 () (@var "BOUND_VARIABLE_9413" $$unsorted)) % 59.52/59.76 (define @t683 () (or @t201 @t681)) % 59.52/59.76 (define @t684 () (= (tptp.cons @t682 @t98) (tptp.app (tptp.cons @t682 @t1) @t2))) % 59.52/59.76 (define @t685 () (not (tptp.ssItem @t682))) % 59.52/59.76 (define @t686 () (or @t196 @t685 @t684)) % 59.52/59.76 (define @t687 () (@list @t1 @t682)) % 59.52/59.76 (define @t688 () (forall @t687 @t686)) % 59.52/59.76 (define @t689 () (or @t685 @t684)) % 59.52/59.76 (define @t690 () (or @t196 @t689)) % 59.52/59.76 (define @t691 () (forall @t687 @t690)) % 59.52/59.76 (define @t692 () (@list @t682)) % 59.52/59.76 (define @t693 () (forall @t692 @t690)) % 59.52/59.76 (define @t694 () (forall @t692 @t689)) % 59.52/59.76 (define @t695 () (or @t196 @t694)) % 59.52/59.76 (define @t696 () (forall @t16 (or @t213 @t99))) % 59.52/59.76 (define @t697 () (tptp.app tptp.nil @t325)) % 59.52/59.76 (define @t698 () (tptp.cons @t326 @t697)) % 59.52/59.76 (define @t699 () (tptp.app @t327 @t325)) % 59.52/59.76 (define @t700 () (or @t630 @t622 @t563 (= @t698 @t699))) % 59.52/59.76 (define @t701 () (forall @t677 @t674)) % 59.52/59.76 (define @t702 () (= @t699 @t698)) % 59.52/59.76 (define @t703 () (or @t630 @t622 @t563 @t702)) % 59.52/59.76 (define @t704 () (@list false false false false)) % 59.52/59.76 (define @t705 () (= @t2 @t105)) % 59.52/59.76 (define @t706 () (= @t325 @t697)) % 59.52/59.76 (define @t707 () (or @t630 @t706)) % 59.52/59.76 (define @t708 () (@var "BOUND_VARIABLE_10594" $$unsorted)) % 59.52/59.76 (define @t709 () (@var "BOUND_VARIABLE_10592" $$unsorted)) % 59.52/59.76 (define @t710 () (= (tptp.app (tptp.app @t2 @t709) @t708) (tptp.app @t2 (tptp.app @t709 @t708)))) % 59.52/59.76 (define @t711 () (not (tptp.ssList @t708))) % 59.52/59.76 (define @t712 () (not (tptp.ssList @t709))) % 59.52/59.76 (define @t713 () (or @t712 @t711 @t710)) % 59.52/59.76 (define @t714 () (or @t201 @t713)) % 59.52/59.76 (define @t715 () (forall (@list @t2 @t709 @t708) @t714)) % 59.52/59.76 (define @t716 () (@list @t709 @t708)) % 59.52/59.76 (define @t717 () (forall @t716 @t714)) % 59.52/59.76 (define @t718 () (forall @t716 @t713)) % 59.52/59.76 (define @t719 () (@var "BOUND_VARIABLE_10574" $$unsorted)) % 59.52/59.76 (define @t720 () (or @t201 @t718)) % 59.52/59.76 (define @t721 () (= (tptp.app @t93 @t719) (tptp.app @t2 (tptp.app @t1 @t719)))) % 59.52/59.76 (define @t722 () (not (tptp.ssList @t719))) % 59.52/59.76 (define @t723 () (or @t196 @t722 @t721)) % 59.52/59.76 (define @t724 () (@list @t1 @t719)) % 59.52/59.76 (define @t725 () (forall @t724 @t723)) % 59.52/59.76 (define @t726 () (or @t722 @t721)) % 59.52/59.76 (define @t727 () (or @t196 @t726)) % 59.52/59.76 (define @t728 () (forall @t724 @t727)) % 59.52/59.76 (define @t729 () (@list @t719)) % 59.52/59.76 (define @t730 () (forall @t729 @t727)) % 59.52/59.76 (define @t731 () (forall @t729 @t726)) % 59.52/59.76 (define @t732 () (or @t196 @t731)) % 59.52/59.76 (define @t733 () (forall @t16 (or @t430 @t131))) % 59.52/59.76 (define @t734 () (tptp.app @t325 @t245)) % 59.52/59.76 (define @t735 () (tptp.app @t329 @t734)) % 59.52/59.76 (define @t736 () (= @t331 @t735)) % 59.52/59.76 (define @t737 () (or @t631 @t630 @t251 @t736)) % 59.52/59.76 (define @t738 () (tptp.app @t328 @t699)) % 59.52/59.76 (define @t739 () (= @t330 @t738)) % 59.52/59.76 (define @t740 () (or @t558 @t628 @t630 @t739)) % 59.52/59.76 (define @t741 () (@var "BOUND_VARIABLE_10553" $$unsorted)) % 59.52/59.76 (define @t742 () (= (tptp.cons @t741 @t2) (tptp.app (tptp.cons @t741 tptp.nil) @t2))) % 59.52/59.76 (define @t743 () (not (tptp.ssItem @t741))) % 59.52/59.76 (define @t744 () (or @t743 @t742)) % 59.52/59.76 (define @t745 () (or @t201 @t744)) % 59.52/59.76 (define @t746 () (forall (@list @t2 @t741) @t745)) % 59.52/59.76 (define @t747 () (@list @t741)) % 59.52/59.76 (define @t748 () (forall @t747 @t745)) % 59.52/59.76 (define @t749 () (forall @t747 @t744)) % 59.52/59.76 (define @t750 () (or @t201 @t749)) % 59.52/59.76 (define @t751 () (forall @t7 (or @t268 @t127))) % 59.52/59.76 (define @t752 () (= @t661 @t734)) % 59.52/59.76 (define @t753 () (or @t251 @t561 @t752)) % 59.52/59.76 (define @t754 () (tptp.app @t325 tptp.nil)) % 59.52/59.76 (define @t755 () (= @t325 @t754)) % 59.52/59.76 (define @t756 () (or @t622 @t561 @t755)) % 59.52/59.76 (define @t757 () (and @t256 @t755 @t752 @t739 @t736 @t706 @t702)) % 59.52/59.76 (define @t758 () (@quantifiers_skolemize @t254 0)) % 59.52/59.76 (define @t759 () (@quantifiers_skolemize @t254 1)) % 59.52/59.76 (define @t760 () (tptp.cons @t759 @t758)) % 59.52/59.76 (define @t761 () (= @t245 @t760)) % 59.52/59.76 (define @t762 () (not @t761)) % 59.52/59.76 (define @t763 () (tptp.ssItem @t759)) % 59.52/59.76 (define @t764 () (not @t763)) % 59.52/59.76 (define @t765 () (tptp.ssList @t758)) % 59.52/59.76 (define @t766 () (not @t765)) % 59.52/59.76 (define @t767 () (or @t766 @t764 @t762)) % 59.52/59.76 (define @t768 () (not @t767)) % 59.52/59.76 (define @t769 () (not (= @t760 @t245))) % 59.52/59.76 (define @t770 () (or @t766 @t764 @t769)) % 59.52/59.76 (define @t771 () (not @t770)) % 59.52/59.76 (define @t772 () (@list @t767)) % 59.52/59.76 (define @t773 () (tptp.app @t329 (tptp.cons @t324 @t760))) % 59.52/59.76 (define @t774 () (not (= @t773 @t331))) % 59.52/59.76 (define @t775 () (= @t324 @t759)) % 59.52/59.76 (define @t776 () (or @t561 @t764 @t775 @t631 @t766 @t774)) % 59.52/59.76 (define @t777 () (= @t331 @t773)) % 59.52/59.76 (define @t778 () (not @t777)) % 59.52/59.76 (define @t779 () (or @t561 @t764 @t775 @t631 @t766 @t778)) % 59.52/59.76 (define @t780 () (and @t752 @t736 @t761)) % 59.52/59.76 (define @t781 () (@var "BOUND_VARIABLE_9006" $$unsorted)) % 59.52/59.76 (define @t782 () (@var "BOUND_VARIABLE_9004" $$unsorted)) % 59.52/59.76 (define @t783 () (@var "BOUND_VARIABLE_9002" $$unsorted)) % 59.52/59.76 (define @t784 () (tptp.app (tptp.app @t783 (tptp.cons @t1 @t782)) (tptp.cons @t1 @t781))) % 59.52/59.76 (define @t785 () (not (= @t2 @t784))) % 59.52/59.76 (define @t786 () (not (tptp.ssList @t781))) % 59.52/59.76 (define @t787 () (not (tptp.ssList @t782))) % 59.52/59.76 (define @t788 () (not (tptp.ssList @t783))) % 59.52/59.76 (define @t789 () (or @t268 @t788 @t787 @t786 @t785)) % 59.52/59.76 (define @t790 () (@list @t1 @t783 @t782 @t781)) % 59.52/59.76 (define @t791 () (= @t51 (forall @t790 @t789))) % 59.52/59.76 (define @t792 () (or @t788 @t787 @t786 @t785)) % 59.52/59.76 (define @t793 () (or @t268 @t792)) % 59.52/59.76 (define @t794 () (forall @t790 @t793)) % 59.52/59.76 (define @t795 () (@list @t783 @t782 @t781)) % 59.52/59.76 (define @t796 () (forall @t795 @t793)) % 59.52/59.76 (define @t797 () (forall @t795 @t792)) % 59.52/59.76 (define @t798 () (@var "BOUND_VARIABLE_8964" $$unsorted)) % 59.52/59.76 (define @t799 () (@var "BOUND_VARIABLE_8962" $$unsorted)) % 59.52/59.76 (define @t800 () (@var "BOUND_VARIABLE_8960" $$unsorted)) % 59.52/59.76 (define @t801 () (@list @t800 @t799 @t798)) % 59.52/59.76 (define @t802 () (or @t268 @t797)) % 59.52/59.76 (define @t803 () (tptp.app @t800 (tptp.cons @t1 @t799))) % 59.52/59.76 (define @t804 () (not (= @t2 (tptp.app @t803 (tptp.cons @t1 @t798))))) % 59.52/59.76 (define @t805 () (not (tptp.ssList @t798))) % 59.52/59.76 (define @t806 () (not (tptp.ssList @t799))) % 59.52/59.76 (define @t807 () (not (tptp.ssList @t800))) % 59.52/59.76 (define @t808 () (or @t807 @t806 @t805 @t804)) % 59.52/59.76 (define @t809 () (@list @t800 @t799 @t798)) % 59.52/59.76 (define @t810 () (or @t268 (forall @t809 @t808))) % 59.52/59.76 (define @t811 () (or @t268 @t808)) % 59.52/59.76 (define @t812 () (or @t268 @t807 @t806 @t805 @t804)) % 59.52/59.76 (define @t813 () (or @t268 @t465 @t807 @t806 @t805 @t804)) % 59.52/59.76 (define @t814 () (not (= @t2 (tptp.app @t803 (tptp.cons @t12 @t798))))) % 59.52/59.76 (define @t815 () (or @t39 @t213 @t39 @t807 @t806 @t805 @t814)) % 59.52/59.76 (define @t816 () (or @t213 @t39 @t807 @t806 @t805 @t814)) % 59.52/59.76 (define @t817 () (forall @t16 @t816)) % 59.52/59.76 (define @t818 () (forall @t809 @t817)) % 59.52/59.76 (define @t819 () (forall (@list @t800 @t799 @t798 @t12) @t816)) % 59.52/59.76 (define @t820 () (@list @t12 @t800 @t799 @t798)) % 59.52/59.76 (define @t821 () (or @t807 @t806 @t805 @t814)) % 59.52/59.76 (define @t822 () (or @t213 @t39 @t821)) % 59.52/59.76 (define @t823 () (forall @t820 @t822)) % 59.52/59.76 (define @t824 () (forall @t809 @t822)) % 59.52/59.76 (define @t825 () (forall @t809 @t821)) % 59.52/59.76 (define @t826 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 59.52/59.76 (define @t827 () (@var "BOUND_VARIABLE_8499" $$unsorted)) % 59.52/59.76 (define @t828 () (or @t213 @t39 @t825)) % 59.52/59.76 (define @t829 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t827)) (tptp.cons @t12 @t826))))) % 59.52/59.76 (define @t830 () (not (tptp.ssList @t826))) % 59.52/59.76 (define @t831 () (not (tptp.ssList @t827))) % 59.52/59.76 (define @t832 () (or @t297 @t831 @t830 @t829)) % 59.52/59.76 (define @t833 () (@list @t10 @t827 @t826)) % 59.52/59.76 (define @t834 () (forall @t833 @t832)) % 59.52/59.76 (define @t835 () (or @t213 @t39 @t834)) % 59.52/59.76 (define @t836 () (or @t39 @t834)) % 59.52/59.76 (define @t837 () (or @t831 @t830 @t829)) % 59.52/59.76 (define @t838 () (or @t297 @t837)) % 59.52/59.76 (define @t839 () (forall @t833 @t838)) % 59.52/59.76 (define @t840 () (@list @t827 @t826)) % 59.52/59.76 (define @t841 () (forall @t840 @t838)) % 59.52/59.76 (define @t842 () (forall @t840 @t837)) % 59.52/59.76 (define @t843 () (@var "BOUND_VARIABLE_8477" $$unsorted)) % 59.52/59.76 (define @t844 () (or @t297 @t842)) % 59.52/59.76 (define @t845 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t843))))) % 59.52/59.76 (define @t846 () (not (tptp.ssList @t843))) % 59.52/59.76 (define @t847 () (or @t312 @t846 @t845)) % 59.52/59.76 (define @t848 () (@list @t28 @t843)) % 59.52/59.76 (define @t849 () (forall @t848 @t847)) % 59.52/59.76 (define @t850 () (or @t297 @t849)) % 59.52/59.76 (define @t851 () (forall @t14 @t850)) % 59.52/59.76 (define @t852 () (or @t39 @t851)) % 59.52/59.76 (define @t853 () (or @t39 @t850)) % 59.52/59.76 (define @t854 () (or @t297 @t39 @t849)) % 59.52/59.76 (define @t855 () (or @t39 @t849)) % 59.52/59.76 (define @t856 () (or @t846 @t845)) % 59.52/59.76 (define @t857 () (or @t312 @t856)) % 59.52/59.76 (define @t858 () (forall @t848 @t857)) % 59.52/59.76 (define @t859 () (@list @t843)) % 59.52/59.76 (define @t860 () (forall @t859 @t857)) % 59.52/59.76 (define @t861 () (forall @t859 @t856)) % 59.52/59.76 (define @t862 () (or @t312 @t861)) % 59.52/59.76 (define @t863 () (= @t2 @t30)) % 59.52/59.76 (define @t864 () (not @t863)) % 59.52/59.76 (define @t865 () (not @t32)) % 59.52/59.76 (define @t866 () (or @t865 @t864)) % 59.52/59.76 (define @t867 () (forall @t33 @t866)) % 59.52/59.76 (define @t868 () (or @t312 @t867)) % 59.52/59.76 (define @t869 () (forall @t35 @t868)) % 59.52/59.76 (define @t870 () (or @t39 @t869)) % 59.52/59.76 (define @t871 () (or @t39 @t868)) % 59.52/59.76 (define @t872 () (or @t312 @t39 @t867)) % 59.52/59.76 (define @t873 () (or @t39 @t867)) % 59.52/59.76 (define @t874 () (or @t39 @t866)) % 59.52/59.76 (define @t875 () (or @t865 @t864 @t39)) % 59.52/59.76 (define @t876 () (=> @t863 @t39)) % 59.52/59.76 (define @t877 () (not (= @t331 @t784))) % 59.52/59.76 (define @t878 () (or @t268 @t788 @t787 @t786 @t877)) % 59.52/59.76 (define @t879 () (forall @t790 @t878)) % 59.52/59.76 (define @t880 () (tptp.duplicatefreeP @t331)) % 59.52/59.76 (define @t881 () (= @t880 @t879)) % 59.52/59.76 (define @t882 () (or @t338 @t881)) % 59.52/59.76 (define @t883 () (forall @t9 (or @t201 @t791))) % 59.52/59.76 (define @t884 () (forall @t790 (or @t268 @t788 @t787 @t786 (not (= @t784 @t331))))) % 59.52/59.76 (define @t885 () (= @t880 @t884)) % 59.52/59.76 (define @t886 () (or @t338 @t885)) % 59.52/59.76 (define @t887 () (tptp.duplicatefreeP @t550)) % 59.52/59.76 (define @t888 () (or @t554 @t887)) % 59.52/59.76 (define @t889 () (tptp.app @t330 (tptp.cons @t324 @t758))) % 59.52/59.76 (define @t890 () (not (= @t889 @t331))) % 59.52/59.76 (define @t891 () (or @t561 @t631 @t622 @t766 @t890)) % 59.52/59.76 (define @t892 () (= @t331 @t889)) % 59.52/59.76 (define @t893 () (not @t892)) % 59.52/59.76 (define @t894 () (or @t561 @t631 @t622 @t766 @t893)) % 59.52/59.76 (define @t895 () (not @t775)) % 59.52/59.76 (define @t896 () (and @t893 @t892)) % 59.52/59.76 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 59.52/59.76 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 59.52/59.76 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 59.52/59.76 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 59.52/59.76 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 59.52/59.76 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 59.52/59.76 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 59.52/59.76 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 59.52/59.76 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 59.52/59.76 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 59.52/59.76 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t26))))))))))))))) % 59.52/59.76 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t37))))))))))))))) % 59.52/59.76 (assume @p13 @t54) % 59.52/59.76 (assume @p14 @t68) % 59.52/59.76 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 59.52/59.76 (assume @p16 @t73) % 59.52/59.76 (assume @p17 @t74) % 59.52/59.76 (assume @p18 @t79) % 59.52/59.76 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t80))))))))))) % 59.52/59.76 (assume @p20 @t89) % 59.52/59.76 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t69))))))) % 59.52/59.76 (assume @p22 (forall @t9 (=> @t17 (=> @t91 (tptp.ssItem @t90))))) % 59.52/59.76 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t69) @t1)))))) % 59.52/59.76 (assume @p24 (forall @t9 (=> @t17 (=> @t91 (tptp.ssList @t92))))) % 59.52/59.76 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t69) @t2)))))) % 59.52/59.76 (assume @p26 @t97) % 59.52/59.76 (assume @p27 @t104) % 59.52/59.76 (assume @p28 @t107) % 59.52/59.76 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t109 @t108) @t3)))))) % 59.52/59.76 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t109 @t26) (tptp.leq @t2 @t12))))))))) % 59.52/59.76 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 59.52/59.76 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t110 @t108)))))) % 59.52/59.76 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t112 (not @t111))))))) % 59.52/59.76 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t112 @t37) @t113)))))))) % 59.52/59.76 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t114 @t111)))))) % 59.52/59.76 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t115))))))))) % 59.52/59.76 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t115))))))))) % 59.52/59.76 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 59.52/59.76 (assume @p39 (not (tptp.singletonP tptp.nil))) % 59.52/59.76 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 59.52/59.76 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 59.52/59.76 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 59.52/59.76 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 59.52/59.76 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 59.52/59.76 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 59.52/59.76 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t86)))) % 59.52/59.76 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 59.52/59.76 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 59.52/59.76 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 59.52/59.76 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t116 @t1))))))))) % 59.52/59.76 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 59.52/59.76 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t86)))) % 59.52/59.76 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 59.52/59.76 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 59.52/59.76 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 59.52/59.76 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t116 @t10) @t1))))))))))) % 59.52/59.76 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 59.52/59.76 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t86)))) % 59.52/59.76 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t117)))) % 59.52/59.76 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 59.52/59.76 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t117)))) % 59.52/59.76 (assume @p62 (tptp.totalorderP tptp.nil)) % 59.52/59.76 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t117)))) % 59.52/59.76 (assume @p64 (tptp.strictorderP tptp.nil)) % 59.52/59.76 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t117)))) % 59.52/59.76 (assume @p66 (tptp.totalorderedP tptp.nil)) % 59.52/59.76 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t121) (or @t119 (and @t120 (tptp.totalorderedP @t1) (tptp.leq @t2 @t118))))))))) % 59.52/59.76 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t117)))) % 59.52/59.76 (assume @p69 (tptp.strictorderedP tptp.nil)) % 59.52/59.76 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t121) (or @t119 (and @t120 (tptp.strictorderedP @t1) (tptp.lt @t2 @t118))))))))) % 59.52/59.76 (assume @p71 @t123) % 59.52/59.76 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 59.52/59.76 (assume @p73 @t125) % 59.52/59.76 (assume @p74 (tptp.equalelemsP tptp.nil)) % 59.52/59.76 (assume @p75 (forall @t9 (=> @t17 (=> @t91 (exists @t7 (and @t6 (= @t90 @t1))))))) % 59.52/59.76 (assume @p76 (forall @t9 (=> @t17 (=> @t91 (exists @t7 (and @t21 (= @t92 @t1))))))) % 59.52/59.76 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t120 @t91 (= @t118 @t90) (= (tptp.tl @t1) @t92)) @t80)))))) % 59.52/59.76 (assume @p78 (forall @t9 (=> @t17 (=> @t91 (= (tptp.cons @t90 @t92) @t2))))) % 59.52/59.76 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t93) @t126)))))))) % 59.52/59.76 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t98) @t126)))))))) % 59.52/59.76 (assume @p81 @t130) % 59.52/59.76 (assume @p82 @t136) % 59.52/59.76 (assume @p83 @t143) % 59.52/59.76 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 59.52/59.76 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t91 (= (tptp.hd @t93) @t90))))))) % 59.52/59.76 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t91 (= (tptp.tl @t93) (tptp.app @t92 @t1)))))))) % 59.52/59.76 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t110 (tptp.geq @t1 @t2)) @t3)))))) % 59.52/59.76 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t110 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 59.52/59.76 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 59.52/59.76 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 59.52/59.76 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t109 @t37) @t113)))))))) % 59.52/59.76 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t109 (or @t3 @t112))))))) % 59.52/59.76 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t112 (and @t4 @t109))))))) % 59.52/59.76 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t114 (not (tptp.gt @t1 @t2)))))))) % 59.52/59.76 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t114 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 59.52/59.76 (assume @p96 @t191) % 59.52/59.76 (assume @p97 true) % 59.52/59.76 (step @p98 :rule aci_norm :args ((= (or @t201 @t203) @t202))) % 59.52/59.76 (step @p99 :rule bool-impl-elim :args (@t17 @t203)) % 59.52/59.76 (step @p100 :rule trans :premises (@p99 @p98)) % 59.52/59.76 (step @p101 :rule cong :premises (@p100) :args ((forall @t9 (=> @t17 @t203)))) % 59.52/59.76 (step @p102 :rule aci_norm :args ((= @t205 @t197))) % 59.52/59.76 (step @p103 :rule cong :premises (@p102) :args (@t206)) % 59.52/59.76 (step @p104 :rule quant-merge-prenex :args ((= (forall @t7 @t208) @t206))) % 59.52/59.76 (step @p105 :rule alpha_equiv :args (@t209 (@list @t192) @t210)) % 59.52/59.76 (step @p106 :rule refl :args (@t196)) % 59.52/59.76 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t211)) % 59.52/59.76 (step @p108 :rule quant-miniscope-or :args ((= @t208 @t211))) % 59.52/59.76 (step @p109 :rule trans :premises (@p108 @p107)) % 59.52/59.76 (step @p110 :rule symm :premises (@p109)) % 59.52/59.76 (step @p111 :rule cong :premises (@p110) :args ((forall @t7 (or @t196 @t214)))) % 59.52/59.76 (step @p112 :rule trans :premises (@p111 @p104)) % 59.52/59.76 (step @p113 :rule trans :premises (@p112 @p103)) % 59.52/59.76 (step @p114 :rule bool-double-not-elim :args (@t214)) % 59.52/59.76 (step @p115 :rule nary_cong :premises (@p106 @p114) :args ((or @t196 (not @t215)))) % 59.52/59.76 (step @p116 :rule bool-and-de-morgan :args (@t21 @t215 true)) % 59.52/59.76 (step @p117 :rule trans :premises (@p116 @p115)) % 59.52/59.76 (step @p118 :rule cong :premises (@p117) :args (@t217)) % 59.52/59.76 (step @p119 :rule trans :premises (@p118 @p113)) % 59.52/59.76 (step @p120 :rule cong :premises (@p119) :args (@t218)) % 59.52/59.76 (step @p121 :rule exists-elim :args ((= (exists @t7 @t216) @t218))) % 59.52/59.76 (step @p122 :rule trans :premises (@p121 @p120)) % 59.52/59.76 (step @p123 :rule bool-and-de-morgan :args (@t36 @t212 true)) % 59.52/59.76 (step @p124 :rule cong :premises (@p123) :args (@t220)) % 59.52/59.76 (step @p125 :rule cong :premises (@p124) :args (@t221)) % 59.52/59.76 (step @p126 :rule exists-elim :args ((= (exists @t16 @t219) @t221))) % 59.52/59.76 (step @p127 :rule trans :premises (@p126 @p125)) % 59.52/59.76 (step @p128 :rule eq-symm :args (@t81 @t2)) % 59.52/59.76 (step @p129 :rule refl :args (@t36)) % 59.52/59.76 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t82)) % 59.52/59.76 (step @p131 :rule cong :premises (@p130) :args (@t83)) % 59.52/59.76 (step @p132 :rule trans :premises (@p131 @p127)) % 59.52/59.76 (step @p133 :rule refl :args (@t21)) % 59.52/59.76 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t84)) % 59.52/59.76 (step @p135 :rule cong :premises (@p134) :args (@t85)) % 59.52/59.76 (step @p136 :rule trans :premises (@p135 @p122)) % 59.52/59.76 (step @p137 :rule eq-symm :args (tptp.nil @t2)) % 59.52/59.76 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t87)) % 59.52/59.76 (step @p139 :rule refl :args (@t17)) % 59.52/59.76 (step @p140 :rule cong :premises (@p139 @p138) :args (@t88)) % 59.52/59.76 (step @p141 :rule cong :premises (@p140) :args (@t89)) % 59.52/59.76 (step @p142 :rule trans :premises (@p141 @p101)) % 59.52/59.76 (step @p143 :rule eq_resolve :premises (@p20 @p142)) % 59.52/59.76 (step @p144 :rule eq-symm :args (@t245 @t193)) % 59.52/59.76 (step @p145 :rule cong :premises (@p144) :args (@t246)) % 59.52/59.76 (step @p146 :rule refl :args (@t195)) % 59.52/59.76 (step @p147 :rule refl :args (@t196)) % 59.52/59.76 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args (@t247)) % 59.52/59.76 (step @p149 :rule cong :premises (@p148) :args (@t248)) % 59.52/59.76 (step @p150 :rule cong :premises (@p149) :args (@t249)) % 59.52/59.76 (step @p151 :rule eq-symm :args (@t245 tptp.nil)) % 59.52/59.76 (step @p152 :rule refl :args (@t251)) % 59.52/59.76 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args (@t252)) % 59.52/59.76 (step @p154 :rule refl :args (@t253)) % 59.52/59.76 (step @p155 :rule cong :premises (@p154 @p153) :args ((=> @t253 @t252))) % 59.52/59.76 (assume-push @p1378 @t253) % 59.52/59.76 (step @p157 :rule instantiate :premises (@p143) :args ((@list @t245))) % 59.52/59.76 (step-pop @p1379 :rule scope :premises (@p157)) % 59.52/59.76 (step @p158 :rule process_scope :premises (@p1379) :args (@t252)) % 59.52/59.76 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 59.52/59.76 (step @p161 :rule implies_elim :premises (@p160)) % 59.52/59.76 (step @p162 :rule chain_m_resolution :premises (@p161 @p143) :args (@t257 @t258 (@list @t253))) % 59.52/59.76 (step @p163 :rule bool-impl-elim :args (@t17 @t271)) % 59.52/59.76 (step @p164 :rule cong :premises (@p163) :args ((forall @t9 (=> @t17 @t271)))) % 59.52/59.76 (step @p165 :rule aci_norm :args ((= @t273 @t269))) % 59.52/59.76 (step @p166 :rule cong :premises (@p165) :args (@t274)) % 59.52/59.76 (step @p167 :rule quant-merge-prenex :args ((= (forall @t7 @t276) @t274))) % 59.52/59.76 (step @p168 :rule alpha_equiv :args (@t277 (@list @t260 @t261 @t259) (@list @t12 @t279 @t278))) % 59.52/59.76 (step @p169 :rule refl :args (@t268)) % 59.52/59.76 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t280)) % 59.52/59.76 (step @p171 :rule quant-miniscope-or :args ((= @t276 @t280))) % 59.52/59.76 (step @p172 :rule trans :premises (@p171 @p170)) % 59.52/59.76 (step @p173 :rule symm :premises (@p172)) % 59.52/59.76 (step @p174 :rule cong :premises (@p173) :args ((forall @t7 (or @t268 @t286)))) % 59.52/59.76 (step @p175 :rule trans :premises (@p174 @p167)) % 59.52/59.76 (step @p176 :rule trans :premises (@p175 @p166)) % 59.52/59.76 (step @p177 :rule bool-impl-elim :args (@t6 @t286)) % 59.52/59.76 (step @p178 :rule cong :premises (@p177) :args ((forall @t7 (=> @t6 @t286)))) % 59.52/59.76 (step @p179 :rule trans :premises (@p178 @p176)) % 59.52/59.76 (step @p180 :rule aci_norm :args ((= @t288 @t284))) % 59.52/59.76 (step @p181 :rule cong :premises (@p180) :args (@t289)) % 59.52/59.76 (step @p182 :rule quant-merge-prenex :args ((= (forall @t16 @t291) @t289))) % 59.52/59.76 (step @p183 :rule alpha_equiv :args (@t292 (@list @t279 @t278) (@list @t10 @t293))) % 59.52/59.76 (step @p184 :rule refl :args (@t38)) % 59.52/59.76 (step @p185 :rule refl :args (@t213)) % 59.52/59.76 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args (@t294)) % 59.52/59.76 (step @p187 :rule quant-miniscope-or :args ((= @t291 @t294))) % 59.52/59.76 (step @p188 :rule trans :premises (@p187 @p186)) % 59.52/59.76 (step @p189 :rule symm :premises (@p188)) % 59.52/59.76 (step @p190 :rule cong :premises (@p189) :args ((forall @t16 @t301))) % 59.52/59.76 (step @p191 :rule trans :premises (@p190 @p182)) % 59.52/59.76 (step @p192 :rule trans :premises (@p191 @p181)) % 59.52/59.76 (step @p193 :rule aci_norm :args ((= (or @t213 @t302) @t301))) % 59.52/59.76 (step @p194 :rule bool-impl-elim :args (@t36 @t302)) % 59.52/59.76 (step @p195 :rule trans :premises (@p194 @p193)) % 59.52/59.76 (step @p196 :rule cong :premises (@p195) :args ((forall @t16 (=> @t36 @t302)))) % 59.52/59.76 (step @p197 :rule trans :premises (@p196 @p192)) % 59.52/59.76 (step @p198 :rule aci_norm :args ((= @t304 @t298))) % 59.52/59.76 (step @p199 :rule cong :premises (@p198) :args (@t305)) % 59.52/59.76 (step @p200 :rule quant-merge-prenex :args ((= (forall @t14 @t307) @t305))) % 59.52/59.76 (step @p201 :rule alpha_equiv :args (@t308 (@list @t293) (@list @t28))) % 59.52/59.76 (step @p202 :rule refl :args (@t297)) % 59.52/59.76 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t309)) % 59.52/59.76 (step @p204 :rule quant-miniscope-or :args ((= @t307 @t309))) % 59.52/59.76 (step @p205 :rule trans :premises (@p204 @p203)) % 59.52/59.76 (step @p206 :rule symm :premises (@p205)) % 59.52/59.76 (step @p207 :rule cong :premises (@p206) :args (@t316)) % 59.52/59.76 (step @p208 :rule trans :premises (@p207 @p200)) % 59.52/59.76 (step @p209 :rule trans :premises (@p208 @p199)) % 59.52/59.76 (step @p210 :rule refl :args (@t38)) % 59.52/59.76 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t317)) % 59.52/59.76 (step @p212 :rule quant-miniscope-or :args ((= (forall @t14 @t318) @t317))) % 59.52/59.76 (step @p213 :rule aci_norm :args ((= @t319 @t318))) % 59.52/59.76 (step @p214 :rule cong :premises (@p213) :args ((forall @t14 @t319))) % 59.52/59.76 (step @p215 :rule trans :premises (@p214 @p212)) % 59.52/59.76 (step @p216 :rule trans :premises (@p215 @p211)) % 59.52/59.76 (step @p217 :rule aci_norm :args ((= (or @t297 @t320) @t319))) % 59.52/59.76 (step @p218 :rule bool-impl-elim :args (@t13 @t320)) % 59.52/59.76 (step @p219 :rule trans :premises (@p218 @p217)) % 59.52/59.76 (step @p220 :rule cong :premises (@p219) :args ((forall @t14 (=> @t13 @t320)))) % 59.52/59.76 (step @p221 :rule trans :premises (@p220 @p216)) % 59.52/59.76 (step @p222 :rule quant-miniscope-or :args ((= (forall @t35 @t321) @t320))) % 59.52/59.76 (step @p223 :rule aci_norm :args ((= @t322 @t321))) % 59.52/59.76 (step @p224 :rule cong :premises (@p223) :args ((forall @t35 @t322))) % 59.52/59.76 (step @p225 :rule trans :premises (@p224 @p222)) % 59.52/59.76 (step @p226 :rule aci_norm :args ((= (or @t312 (or @t311 @t38)) @t322))) % 59.52/59.76 (step @p227 :rule bool-impl-elim :args (@t310 @t38)) % 59.52/59.76 (step @p228 :rule refl :args (@t312)) % 59.52/59.76 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t312 @t323))) % 59.52/59.76 (step @p230 :rule trans :premises (@p229 @p226)) % 59.52/59.76 (step @p231 :rule bool-impl-elim :args (@t34 @t323)) % 59.52/59.76 (step @p232 :rule trans :premises (@p231 @p230)) % 59.52/59.76 (step @p233 :rule cong :premises (@p232) :args ((forall @t35 (=> @t34 @t323)))) % 59.52/59.76 (step @p234 :rule trans :premises (@p233 @p225)) % 59.52/59.76 (step @p235 :rule eq-symm :args (@t55 @t2)) % 59.52/59.76 (step @p236 :rule cong :premises (@p235 @p210) :args (@t56)) % 59.52/59.76 (step @p237 :rule refl :args (@t34)) % 59.52/59.76 (step @p238 :rule cong :premises (@p237 @p236) :args (@t57)) % 59.52/59.76 (step @p239 :rule cong :premises (@p238) :args (@t58)) % 59.52/59.76 (step @p240 :rule trans :premises (@p239 @p234)) % 59.52/59.76 (step @p241 :rule refl :args (@t13)) % 59.52/59.76 (step @p242 :rule cong :premises (@p241 @p240) :args (@t59)) % 59.52/59.76 (step @p243 :rule cong :premises (@p242) :args (@t60)) % 59.52/59.76 (step @p244 :rule trans :premises (@p243 @p221)) % 59.52/59.76 (step @p245 :rule cong :premises (@p129 @p244) :args (@t61)) % 59.52/59.76 (step @p246 :rule cong :premises (@p245) :args (@t62)) % 59.52/59.76 (step @p247 :rule trans :premises (@p246 @p197)) % 59.52/59.76 (step @p248 :rule refl :args (@t6)) % 59.52/59.76 (step @p249 :rule cong :premises (@p248 @p247) :args (@t63)) % 59.52/59.76 (step @p250 :rule cong :premises (@p249) :args (@t64)) % 59.52/59.76 (step @p251 :rule trans :premises (@p250 @p179)) % 59.52/59.76 (step @p252 :rule refl :args (@t65)) % 59.52/59.76 (step @p253 :rule cong :premises (@p252 @p251) :args (@t66)) % 59.52/59.76 (step @p254 :rule cong :premises (@p139 @p253) :args (@t67)) % 59.52/59.76 (step @p255 :rule 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(@list @t884))) % 59.52/59.77 (step @p1334 :rule cnf_or_pos :args (@t894)) % 59.52/59.77 (step @p1335 :rule reordering :premises (@p1334) :args ((or @t622 @t561 @t631 @t766 @t893 (not @t894)))) % 59.52/59.77 (step @p1336 :rule chain_m_resolution :premises (@p1335 @p17 @p717 @p740 @p1133 @p1333) :args (@t893 (@list false false false false false) (@list @t74 @t560 @t627 @t765 @t894))) % 59.52/59.77 (step @p1337 :rule bool-double-not-elim :args (@t892)) % 59.52/59.77 (step @p1338 :rule refl :args (@t895)) % 59.52/59.77 (step @p1339 :rule refl :args (@t762)) % 59.52/59.77 (step @p1340 :rule nary_cong :premises (@p1339 @p1338 @p1337) :args ((or @t762 @t895 (not @t893)))) % 59.52/59.77 (assume-push @p1438 @t893) % 59.52/59.77 (assume-push @p1439 @t892) % 59.52/59.77 (step @p1343 :rule evaluate :args ((= true false))) % 59.52/59.77 (step @p1344 :rule false_intro :premises (@p1438)) % 59.52/59.77 (step @p1345 :rule true_intro :premises (@p1439)) % 59.52/59.77 (step @p1346 :rule symm :premises (@p1345)) % 59.52/59.77 (step @p1347 :rule trans :premises (@p1346 @p1344)) % 59.52/59.77 (step @p1348 false :rule eq_resolve :premises (@p1347 @p1343)) % 59.52/59.77 (step-pop @p1440 :rule scope :premises (@p1348)) % 59.52/59.77 (step-pop @p1441 :rule scope :premises (@p1440)) % 59.52/59.77 (step @p1349 :rule process_scope :premises (@p1441) :args (false)) % 59.52/59.77 (assume-push @p1442 @t761) % 59.52/59.77 (assume-push @p1443 @t775) % 59.52/59.77 (assume-push @p1444 @t893) % 59.52/59.77 (assume-push @p1445 @t775) % 59.52/59.77 (assume-push @p1446 @t761) % 59.52/59.77 (step @p1357 :rule refl :args (@t758)) % 59.52/59.77 (step @p1358 :rule symm :premises (@p1443)) % 59.52/59.77 (step @p1359 :rule cong :premises (@p1358 @p1357) :args (@t760)) % 59.52/59.77 (step @p1360 :rule trans :premises (@p1442 @p1359)) % 59.52/59.77 (step @p1361 :rule refl :args (@t330)) % 59.52/59.77 (step @p1362 :rule cong :premises (@p1361 @p1360) :args (@t331)) % 59.52/59.77 (step-pop @p1447 :rule scope :premises (@p1362)) % 59.52/59.77 (step-pop @p1448 :rule scope :premises (@p1447)) % 59.52/59.77 (step @p1363 :rule process_scope :premises (@p1448) :args (@t892)) % 59.52/59.77 (step @p1366 :rule and_intro :premises (@p1443 @p1442)) % 59.52/59.77 (step @p1367 :rule modus_ponens :premises (@p1366 @p1363)) % 59.52/59.77 (step @p1368 :rule and_intro :premises (@p1444 @p1367)) % 59.52/59.77 (step-pop @p1449 :rule scope :premises (@p1368)) % 59.52/59.77 (step-pop @p1450 :rule scope :premises (@p1449)) % 59.52/59.77 (step-pop @p1451 :rule scope :premises (@p1450)) % 59.52/59.77 (step @p1369 :rule process_scope :premises (@p1451) :args (@t896)) % 59.52/59.77 (step @p1373 :rule implies_elim :premises (@p1369)) % 59.52/59.77 (step @p1374 :rule resolution :premises (@p1373 @p1349) :args (true @t896)) % 59.52/59.77 (step @p1375 :rule not_and :premises (@p1374)) % 59.52/59.77 (step @p1376 :rule eq_resolve :premises (@p1375 @p1340)) % 59.52/59.77 (step @p1377 false :rule chain_m_resolution :premises (@p1376 @p1336 @p1136 @p1084) :args (false (@list true false false) (@list @t892 @t775 @t761))) % 59.52/59.77 ) % 59.52/59.77 % SZS output end Proof % 59.52/59.77 % cvc5 exiting %------------------------------------------------------------------------------