%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC166+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 : n004.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 08:58:18 AM UTC 2026 % Result : Theorem 68.17s 68.38s % Output : Proof 68.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC166+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:19:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 68.17/68.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 68.17/68.38 --- Run --no-e-matching --full-saturate-quant at 6... % 68.17/68.38 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 68.17/68.38 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 68.17/68.38 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 68.17/68.38 --- Run --trigger-sel=max --full-saturate-quant at 15... % 68.17/68.38 % SZS status Theorem % 68.17/68.38 % SZS output start Proof % 68.17/68.38 ( % 68.17/68.38 (declare-sort $$unsorted 0) % 68.17/68.38 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 68.17/68.38 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 68.17/68.38 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 68.17/68.38 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 68.17/68.38 (declare-const tptp.nil $$unsorted) % 68.17/68.38 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.ssList (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 68.17/68.38 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 68.17/68.38 (define @t1 () (@var "V" $$unsorted)) % 68.17/68.38 (define @t2 () (@var "U" $$unsorted)) % 68.17/68.38 (define @t3 () (= @t2 @t1)) % 68.17/68.38 (define @t4 () (not @t3)) % 68.17/68.38 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 68.17/68.38 (define @t6 () (tptp.ssItem @t1)) % 68.17/68.38 (define @t7 () (@list @t1)) % 68.17/68.38 (define @t8 () (forall @t7 (=> @t6 @t5))) % 68.17/68.38 (define @t9 () (tptp.ssItem @t2)) % 68.17/68.38 (define @t10 () (=> @t9 @t8)) % 68.17/68.38 (define @t11 () (@list @t2)) % 68.17/68.38 (define @t12 () (forall @t11 @t10)) % 68.17/68.38 (define @t13 () (@var "X" $$unsorted)) % 68.17/68.38 (define @t14 () (tptp.cons @t1 @t13)) % 68.17/68.38 (define @t15 () (@var "W" $$unsorted)) % 68.17/68.38 (define @t16 () (tptp.ssList @t13)) % 68.17/68.38 (define @t17 () (@list @t13)) % 68.17/68.38 (define @t18 () (tptp.ssList @t15)) % 68.17/68.38 (define @t19 () (@list @t15)) % 68.17/68.38 (define @t20 () (tptp.ssList @t2)) % 68.17/68.38 (define @t21 () (tptp.cons @t1 tptp.nil)) % 68.17/68.38 (define @t22 () (and @t6 (= @t21 @t2))) % 68.17/68.38 (define @t23 () (exists @t7 @t22)) % 68.17/68.38 (define @t24 () (tptp.singletonP @t2)) % 68.17/68.38 (define @t25 () (= @t24 @t23)) % 68.17/68.38 (define @t26 () (=> @t20 @t25)) % 68.17/68.38 (define @t27 () (forall @t11 @t26)) % 68.17/68.38 (define @t28 () (tptp.app @t1 @t15)) % 68.17/68.38 (define @t29 () (tptp.frontsegP @t2 @t1)) % 68.17/68.38 (define @t30 () (tptp.ssList @t1)) % 68.17/68.38 (define @t31 () (tptp.app @t15 @t1)) % 68.17/68.38 (define @t32 () (tptp.rearsegP @t2 @t1)) % 68.17/68.38 (define @t33 () (tptp.segmentP @t2 @t1)) % 68.17/68.38 (define @t34 () (tptp.leq @t15 @t1)) % 68.17/68.38 (define @t35 () (tptp.leq @t1 @t15)) % 68.17/68.38 (define @t36 () (not (and @t35 @t34))) % 68.17/68.38 (define @t37 () (@var "Z" $$unsorted)) % 68.17/68.38 (define @t38 () (@var "Y" $$unsorted)) % 68.17/68.38 (define @t39 () (tptp.app @t13 (tptp.cons @t1 @t38))) % 68.17/68.38 (define @t40 () (tptp.app @t39 (tptp.cons @t15 @t37))) % 68.17/68.38 (define @t41 () (= @t40 @t2)) % 68.17/68.38 (define @t42 () (=> @t41 @t36)) % 68.17/68.38 (define @t43 () (tptp.ssList @t37)) % 68.17/68.38 (define @t44 () (=> @t43 @t42)) % 68.17/68.38 (define @t45 () (@list @t37)) % 68.17/68.38 (define @t46 () (forall @t45 @t44)) % 68.17/68.38 (define @t47 () (tptp.ssList @t38)) % 68.17/68.38 (define @t48 () (=> @t47 @t46)) % 68.17/68.38 (define @t49 () (@list @t38)) % 68.17/68.38 (define @t50 () (forall @t49 @t48)) % 68.17/68.38 (define @t51 () (=> @t16 @t50)) % 68.17/68.38 (define @t52 () (forall @t17 @t51)) % 68.17/68.38 (define @t53 () (tptp.ssItem @t15)) % 68.17/68.38 (define @t54 () (=> @t53 @t52)) % 68.17/68.38 (define @t55 () (forall @t19 @t54)) % 68.17/68.38 (define @t56 () (=> @t6 @t55)) % 68.17/68.38 (define @t57 () (forall @t7 @t56)) % 68.17/68.38 (define @t58 () (tptp.cyclefreeP @t2)) % 68.17/68.38 (define @t59 () (= @t58 @t57)) % 68.17/68.38 (define @t60 () (=> @t20 @t59)) % 68.17/68.38 (define @t61 () (forall @t11 @t60)) % 68.17/68.38 (define @t62 () (tptp.lt @t1 @t15)) % 68.17/68.38 (define @t63 () (= @t1 @t15)) % 68.17/68.38 (define @t64 () (tptp.cons @t1 @t2)) % 68.17/68.38 (define @t65 () (tptp.ssList @t64)) % 68.17/68.38 (define @t66 () (forall @t7 (=> @t6 @t65))) % 68.17/68.38 (define @t67 () (=> @t20 @t66)) % 68.17/68.38 (define @t68 () (forall @t11 @t67)) % 68.17/68.38 (define @t69 () (tptp.ssList tptp.nil)) % 68.17/68.38 (define @t70 () (= @t1 @t2)) % 68.17/68.38 (define @t71 () (tptp.cons @t15 @t1)) % 68.17/68.38 (define @t72 () (= tptp.nil @t2)) % 68.17/68.38 (define @t73 () (tptp.hd @t2)) % 68.17/68.38 (define @t74 () (tptp.ssItem @t73)) % 68.17/68.38 (define @t75 () (not @t72)) % 68.17/68.38 (define @t76 () (=> @t75 @t74)) % 68.17/68.38 (define @t77 () (=> @t20 @t76)) % 68.17/68.38 (define @t78 () (forall @t11 @t77)) % 68.17/68.38 (define @t79 () (tptp.tl @t2)) % 68.17/68.38 (define @t80 () (tptp.tl @t64)) % 68.17/68.38 (define @t81 () (=> @t6 (= @t80 @t2))) % 68.17/68.38 (define @t82 () (forall @t7 @t81)) % 68.17/68.38 (define @t83 () (=> @t20 @t82)) % 68.17/68.38 (define @t84 () (forall @t11 @t83)) % 68.17/68.38 (define @t85 () (tptp.app @t2 @t1)) % 68.17/68.38 (define @t86 () (tptp.ssList @t85)) % 68.17/68.38 (define @t87 () (forall @t7 (=> @t30 @t86))) % 68.17/68.38 (define @t88 () (=> @t20 @t87)) % 68.17/68.38 (define @t89 () (forall @t11 @t88)) % 68.17/68.38 (define @t90 () (tptp.app @t1 @t2)) % 68.17/68.38 (define @t91 () (= (tptp.cons @t15 @t90) (tptp.app @t71 @t2))) % 68.17/68.38 (define @t92 () (forall @t19 (=> @t53 @t91))) % 68.17/68.38 (define @t93 () (=> @t30 @t92)) % 68.17/68.38 (define @t94 () (forall @t7 @t93)) % 68.17/68.38 (define @t95 () (=> @t20 @t94)) % 68.17/68.38 (define @t96 () (forall @t11 @t95)) % 68.17/68.38 (define @t97 () (tptp.app tptp.nil @t2)) % 68.17/68.38 (define @t98 () (=> @t20 (= @t97 @t2))) % 68.17/68.38 (define @t99 () (forall @t11 @t98)) % 68.17/68.38 (define @t100 () (tptp.leq @t1 @t2)) % 68.17/68.38 (define @t101 () (tptp.leq @t2 @t1)) % 68.17/68.38 (define @t102 () (tptp.leq @t2 @t2)) % 68.17/68.38 (define @t103 () (forall @t11 (=> @t9 @t102))) % 68.17/68.38 (define @t104 () (tptp.geq @t2 @t1)) % 68.17/68.38 (define @t105 () (tptp.lt @t1 @t2)) % 68.17/68.38 (define @t106 () (tptp.lt @t2 @t1)) % 68.17/68.38 (define @t107 () (tptp.lt @t2 @t15)) % 68.17/68.38 (define @t108 () (tptp.gt @t2 @t1)) % 68.17/68.38 (define @t109 () (tptp.memberP @t15 @t2)) % 68.17/68.38 (define @t110 () (tptp.singletonP tptp.nil)) % 68.17/68.38 (define @t111 () (not @t110)) % 68.17/68.38 (define @t112 () (tptp.app @t15 @t2)) % 68.17/68.38 (define @t113 () (tptp.cons @t2 tptp.nil)) % 68.17/68.38 (define @t114 () (tptp.cyclefreeP @t113)) % 68.17/68.38 (define @t115 () (forall @t11 (=> @t9 @t114))) % 68.17/68.38 (define @t116 () (tptp.hd @t1)) % 68.17/68.38 (define @t117 () (= tptp.nil @t1)) % 68.17/68.38 (define @t118 () (not @t117)) % 68.17/68.38 (define @t119 () (tptp.cons @t2 @t1)) % 68.17/68.38 (define @t120 () (tptp.cons @t73 @t79)) % 68.17/68.38 (define @t121 () (=> @t75 (= @t120 @t2))) % 68.17/68.38 (define @t122 () (=> @t20 @t121)) % 68.17/68.38 (define @t123 () (forall @t11 @t122)) % 68.17/68.38 (define @t124 () (= @t15 @t2)) % 68.17/68.38 (define @t125 () (= (tptp.app @t85 @t15) (tptp.app @t2 @t28))) % 68.17/68.38 (define @t126 () (forall @t19 (=> @t18 @t125))) % 68.17/68.38 (define @t127 () (=> @t30 @t126)) % 68.17/68.38 (define @t128 () (forall @t7 @t127)) % 68.17/68.38 (define @t129 () (=> @t20 @t128)) % 68.17/68.38 (define @t130 () (forall @t11 @t129)) % 68.17/68.38 (define @t131 () (tptp.neq @t38 @t37)) % 68.17/68.38 (define @t132 () (@var "X2" $$unsorted)) % 68.17/68.38 (define @t133 () (tptp.cons @t37 tptp.nil)) % 68.17/68.38 (define @t134 () (tptp.cons @t38 tptp.nil)) % 68.17/68.38 (define @t135 () (@var "X1" $$unsorted)) % 68.17/68.38 (define @t136 () (tptp.app (tptp.app @t135 @t134) @t133)) % 68.17/68.38 (define @t137 () (tptp.app @t136 @t132)) % 68.17/68.38 (define @t138 () (not (= @t137 @t2))) % 68.17/68.38 (define @t139 () (or @t138 @t131)) % 68.17/68.38 (define @t140 () (tptp.ssList @t132)) % 68.17/68.38 (define @t141 () (=> @t140 @t139)) % 68.17/68.38 (define @t142 () (@list @t132)) % 68.17/68.38 (define @t143 () (forall @t142 @t141)) % 68.17/68.38 (define @t144 () (tptp.ssList @t135)) % 68.17/68.38 (define @t145 () (=> @t144 @t143)) % 68.17/68.38 (define @t146 () (@list @t135)) % 68.17/68.38 (define @t147 () (forall @t146 @t145)) % 68.17/68.38 (define @t148 () (tptp.ssItem @t37)) % 68.17/68.38 (define @t149 () (=> @t148 @t147)) % 68.17/68.38 (define @t150 () (forall @t45 @t149)) % 68.17/68.38 (define @t151 () (tptp.ssItem @t38)) % 68.17/68.38 (define @t152 () (=> @t151 @t150)) % 68.17/68.38 (define @t153 () (forall @t49 @t152)) % 68.17/68.38 (define @t154 () (not (tptp.singletonP @t15))) % 68.17/68.38 (define @t155 () (not (= @t2 @t15))) % 68.17/68.38 (define @t156 () (not (= @t1 @t13))) % 68.17/68.38 (define @t157 () (or @t156 @t155 @t154 @t153)) % 68.17/68.38 (define @t158 () (=> @t16 @t157)) % 68.17/68.38 (define @t159 () (forall @t17 @t158)) % 68.17/68.38 (define @t160 () (=> @t18 @t159)) % 68.17/68.38 (define @t161 () (forall @t19 @t160)) % 68.17/68.38 (define @t162 () (=> @t30 @t161)) % 68.17/68.38 (define @t163 () (forall @t7 @t162)) % 68.17/68.38 (define @t164 () (=> @t20 @t163)) % 68.17/68.38 (define @t165 () (forall @t11 @t164)) % 68.17/68.38 (define @t166 () (not @t165)) % 68.17/68.38 (define @t167 () (= @t2 @t21)) % 68.17/68.38 (define @t168 () (not @t6)) % 68.17/68.38 (define @t169 () (= @t24 (not (forall @t7 (or @t168 (not @t167)))))) % 68.17/68.38 (define @t170 () (and @t6 @t167)) % 68.17/68.38 (define @t171 () (forall @t7 (not @t170))) % 68.17/68.38 (define @t172 () (not @t171)) % 68.17/68.38 (define @t173 () (@var "BOUND_VARIABLE_11069" $$unsorted)) % 68.17/68.38 (define @t174 () (not (tptp.ssList @t173))) % 68.17/68.38 (define @t175 () (@var "BOUND_VARIABLE_11067" $$unsorted)) % 68.17/68.38 (define @t176 () (not (tptp.ssList @t175))) % 68.17/68.38 (define @t177 () (@var "BOUND_VARIABLE_11065" $$unsorted)) % 68.17/68.38 (define @t178 () (@var "BOUND_VARIABLE_11063" $$unsorted)) % 68.17/68.38 (define @t179 () (tptp.neq @t178 @t177)) % 68.17/68.38 (define @t180 () (not (tptp.ssItem @t177))) % 68.17/68.38 (define @t181 () (not (tptp.ssItem @t178))) % 68.17/68.38 (define @t182 () (tptp.app (tptp.app (tptp.app @t175 (tptp.cons @t178 tptp.nil)) (tptp.cons @t177 tptp.nil)) @t173)) % 68.17/68.38 (define @t183 () (not (tptp.singletonP @t182))) % 68.17/68.38 (define @t184 () (not (tptp.ssList @t182))) % 68.17/68.38 (define @t185 () (or @t184 @t183 @t181 @t180 @t179 @t176 @t174)) % 68.17/68.38 (define @t186 () (@list @t178 @t177 @t175 @t173)) % 68.17/68.38 (define @t187 () (forall @t186 @t185)) % 68.17/68.38 (define @t188 () (@quantifiers_skolemize @t187 3)) % 68.17/68.38 (define @t189 () (@quantifiers_skolemize @t187 1)) % 68.17/68.38 (define @t190 () (tptp.cons @t189 tptp.nil)) % 68.17/68.38 (define @t191 () (@quantifiers_skolemize @t187 0)) % 68.17/68.38 (define @t192 () (tptp.cons @t191 tptp.nil)) % 68.17/68.38 (define @t193 () (@quantifiers_skolemize @t187 2)) % 68.17/68.38 (define @t194 () (tptp.app @t193 @t192)) % 68.17/68.38 (define @t195 () (tptp.app (tptp.app @t194 @t190) @t188)) % 68.17/68.38 (define @t196 () (not (= @t195 @t21))) % 68.17/68.38 (define @t197 () (or @t168 @t196)) % 68.17/68.38 (define @t198 () (forall @t7 @t197)) % 68.17/68.38 (define @t199 () (not @t198)) % 68.17/68.38 (define @t200 () (tptp.singletonP @t195)) % 68.17/68.38 (define @t201 () (= @t200 @t199)) % 68.17/68.38 (define @t202 () (tptp.ssList @t195)) % 68.17/68.38 (define @t203 () (not @t202)) % 68.17/68.38 (define @t204 () (or @t203 @t201)) % 68.17/68.38 (define @t205 () (not @t20)) % 68.17/68.38 (define @t206 () (forall @t11 (or @t205 @t169))) % 68.17/68.38 (define @t207 () (@list @t195)) % 68.17/68.38 (define @t208 () (forall @t7 (or @t168 (not (= @t21 @t195))))) % 68.17/68.38 (define @t209 () (not @t208)) % 68.17/68.38 (define @t210 () (= @t200 @t209)) % 68.17/68.38 (define @t211 () (or @t203 @t210)) % 68.17/68.38 (define @t212 () (@list false)) % 68.17/68.38 (define @t213 () (not (= @t182 @t182))) % 68.17/68.38 (define @t214 () (or @t184 @t183 @t181 @t180 @t179 @t176 @t174 @t213)) % 68.17/68.38 (define @t215 () (not (= @t2 @t182))) % 68.17/68.38 (define @t216 () (not @t24)) % 68.17/68.38 (define @t217 () (or @t215 @t205 @t216 @t181 @t180 @t179 @t176 @t174 @t215)) % 68.17/68.38 (define @t218 () (or @t205 @t216 @t181 @t180 @t179 @t176 @t174 @t215)) % 68.17/68.38 (define @t219 () (forall @t11 @t218)) % 68.17/68.38 (define @t220 () (forall @t186 @t219)) % 68.17/68.38 (define @t221 () (forall (@list @t178 @t177 @t175 @t173 @t2) @t218)) % 68.17/68.38 (define @t222 () (@list @t2 @t178 @t177 @t175 @t173)) % 68.17/68.38 (define @t223 () (or @t181 @t180 @t179 @t176 @t174 @t215)) % 68.17/68.38 (define @t224 () (or @t205 @t223 @t216)) % 68.17/68.38 (define @t225 () (forall @t222 @t224)) % 68.17/68.38 (define @t226 () (forall @t186 @t224)) % 68.17/68.38 (define @t227 () (forall @t186 @t223)) % 68.17/68.38 (define @t228 () (@var "BOUND_VARIABLE_11003" $$unsorted)) % 68.17/68.38 (define @t229 () (@var "BOUND_VARIABLE_11001" $$unsorted)) % 68.17/68.38 (define @t230 () (@var "BOUND_VARIABLE_10999" $$unsorted)) % 68.17/68.38 (define @t231 () (or @t205 @t227 @t216)) % 68.17/68.38 (define @t232 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t229 @t134) (tptp.cons @t230 tptp.nil)) @t228)))) % 68.17/68.38 (define @t233 () (not (tptp.ssList @t228))) % 68.17/68.38 (define @t234 () (not (tptp.ssList @t229))) % 68.17/68.38 (define @t235 () (tptp.neq @t38 @t230)) % 68.17/68.38 (define @t236 () (not (tptp.ssItem @t230))) % 68.17/68.38 (define @t237 () (not @t151)) % 68.17/68.38 (define @t238 () (or @t237 @t236 @t235 @t234 @t233 @t232)) % 68.17/68.38 (define @t239 () (@list @t38 @t230 @t229 @t228)) % 68.17/68.38 (define @t240 () (forall @t239 @t238)) % 68.17/68.38 (define @t241 () (or @t205 @t240 @t216)) % 68.17/68.38 (define @t242 () (forall @t11 @t241)) % 68.17/68.38 (define @t243 () (not @t30)) % 68.17/68.38 (define @t244 () (forall @t7 @t243)) % 68.17/68.38 (define @t245 () (or @t244 @t242)) % 68.17/68.38 (define @t246 () (or @t244 @t241)) % 68.17/68.38 (define @t247 () (or @t205 @t240 @t216 @t244)) % 68.17/68.38 (define @t248 () (or @t240 @t205 @t216 @t244)) % 68.17/68.38 (define @t249 () (or @t240 @t205 @t216 @t243)) % 68.17/68.38 (define @t250 () (or @t243 @t240 @t205 @t216)) % 68.17/68.38 (define @t251 () (or @t240 @t243 @t205 @t216)) % 68.17/68.38 (define @t252 () (or @t205 @t216)) % 68.17/68.38 (define @t253 () (not (= @t2 @t2))) % 68.17/68.38 (define @t254 () (or @t205 @t253 @t216)) % 68.17/68.38 (define @t255 () (not @t18)) % 68.17/68.38 (define @t256 () (or @t155 @t255 @t155 @t154)) % 68.17/68.38 (define @t257 () (or @t255 @t155 @t154)) % 68.17/68.38 (define @t258 () (forall @t19 @t257)) % 68.17/68.38 (define @t259 () (or @t240 @t243 @t258)) % 68.17/68.38 (define @t260 () (or @t240 @t243 @t257)) % 68.17/68.38 (define @t261 () (or @t255 @t155 @t154 @t240 @t243)) % 68.17/68.38 (define @t262 () (or @t155 @t154 @t240 @t243)) % 68.17/68.38 (define @t263 () (not (= @t1 @t1))) % 68.17/68.38 (define @t264 () (or @t243 @t263)) % 68.17/68.38 (define @t265 () (not @t16)) % 68.17/68.38 (define @t266 () (or @t156 @t265 @t156)) % 68.17/68.38 (define @t267 () (or @t265 @t156)) % 68.17/68.38 (define @t268 () (forall @t17 @t267)) % 68.17/68.38 (define @t269 () (or @t155 @t154 @t240 @t268)) % 68.17/68.38 (define @t270 () (or @t155 @t154 @t240 @t267)) % 68.17/68.38 (define @t271 () (or @t265 @t156 @t155 @t154 @t240)) % 68.17/68.38 (define @t272 () (or @t156 @t155 @t154 @t240)) % 68.17/68.38 (define @t273 () (or @t236 @t235 @t234 @t233 @t232)) % 68.17/68.38 (define @t274 () (or @t237 @t273)) % 68.17/68.38 (define @t275 () (forall @t239 @t274)) % 68.17/68.38 (define @t276 () (@list @t230 @t229 @t228)) % 68.17/68.38 (define @t277 () (forall @t276 @t274)) % 68.17/68.38 (define @t278 () (forall @t276 @t273)) % 68.17/68.38 (define @t279 () (@var "BOUND_VARIABLE_10977" $$unsorted)) % 68.17/68.38 (define @t280 () (@var "BOUND_VARIABLE_10975" $$unsorted)) % 68.17/68.38 (define @t281 () (or @t237 @t278)) % 68.17/68.38 (define @t282 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t280 @t134) @t133) @t279)))) % 68.17/68.38 (define @t283 () (not (tptp.ssList @t279))) % 68.17/68.38 (define @t284 () (not (tptp.ssList @t280))) % 68.17/68.38 (define @t285 () (not @t148)) % 68.17/68.38 (define @t286 () (or @t285 @t131 @t284 @t283 @t282)) % 68.17/68.38 (define @t287 () (@list @t37 @t280 @t279)) % 68.17/68.38 (define @t288 () (forall @t287 @t286)) % 68.17/68.38 (define @t289 () (or @t284 @t283 @t282)) % 68.17/68.38 (define @t290 () (or @t285 @t131 @t289)) % 68.17/68.38 (define @t291 () (forall @t287 @t290)) % 68.17/68.38 (define @t292 () (@list @t280 @t279)) % 68.17/68.38 (define @t293 () (forall @t292 @t290)) % 68.17/68.38 (define @t294 () (forall @t292 @t289)) % 68.17/68.38 (define @t295 () (@var "BOUND_VARIABLE_10956" $$unsorted)) % 68.17/68.38 (define @t296 () (or @t285 @t131 @t294)) % 68.17/68.38 (define @t297 () (not (= @t2 (tptp.app @t136 @t295)))) % 68.17/68.38 (define @t298 () (not (tptp.ssList @t295))) % 68.17/68.38 (define @t299 () (not @t144)) % 68.17/68.38 (define @t300 () (or @t299 @t298 @t297)) % 68.17/68.38 (define @t301 () (@list @t135 @t295)) % 68.17/68.38 (define @t302 () (forall @t301 @t300)) % 68.17/68.38 (define @t303 () (or @t285 @t131 @t302)) % 68.17/68.38 (define @t304 () (or @t131 @t302)) % 68.17/68.38 (define @t305 () (or @t298 @t297)) % 68.17/68.38 (define @t306 () (or @t299 @t305)) % 68.17/68.38 (define @t307 () (forall @t301 @t306)) % 68.17/68.38 (define @t308 () (@list @t295)) % 68.17/68.38 (define @t309 () (forall @t308 @t306)) % 68.17/68.38 (define @t310 () (forall @t308 @t305)) % 68.17/68.38 (define @t311 () (or @t299 @t310)) % 68.17/68.38 (define @t312 () (not (= @t2 @t137))) % 68.17/68.38 (define @t313 () (not @t140)) % 68.17/68.38 (define @t314 () (or @t313 @t312)) % 68.17/68.38 (define @t315 () (forall @t142 @t314)) % 68.17/68.38 (define @t316 () (or @t299 @t315)) % 68.17/68.38 (define @t317 () (forall @t146 @t316)) % 68.17/68.38 (define @t318 () (or @t131 @t317)) % 68.17/68.38 (define @t319 () (or @t131 @t316)) % 68.17/68.38 (define @t320 () (or @t299 @t131 @t315)) % 68.17/68.38 (define @t321 () (or @t131 @t315)) % 68.17/68.38 (define @t322 () (or @t131 @t314)) % 68.17/68.38 (define @t323 () (or @t313 @t312 @t131)) % 68.17/68.38 (define @t324 () (or @t312 @t131)) % 68.17/68.38 (define @t325 () (tptp.ssList @t188)) % 68.17/68.38 (define @t326 () (not @t325)) % 68.17/68.38 (define @t327 () (tptp.ssList @t193)) % 68.17/68.38 (define @t328 () (not @t327)) % 68.17/68.38 (define @t329 () (tptp.neq @t191 @t189)) % 68.17/68.38 (define @t330 () (tptp.ssItem @t189)) % 68.17/68.38 (define @t331 () (not @t330)) % 68.17/68.38 (define @t332 () (tptp.ssItem @t191)) % 68.17/68.38 (define @t333 () (not @t332)) % 68.17/68.38 (define @t334 () (not @t200)) % 68.17/68.38 (define @t335 () (or @t203 @t334 @t333 @t331 @t329 @t328 @t326)) % 68.17/68.38 (define @t336 () (@list true)) % 68.17/68.38 (define @t337 () (@list @t335)) % 68.17/68.38 (define @t338 () (@list false false)) % 68.17/68.38 (define @t339 () (@quantifiers_skolemize @t208 0)) % 68.17/68.38 (define @t340 () (tptp.cons @t339 tptp.nil)) % 68.17/68.38 (define @t341 () (= @t195 @t340)) % 68.17/68.38 (define @t342 () (not @t341)) % 68.17/68.38 (define @t343 () (tptp.ssItem @t339)) % 68.17/68.38 (define @t344 () (not @t343)) % 68.17/68.38 (define @t345 () (or @t344 @t342)) % 68.17/68.38 (define @t346 () (not @t345)) % 68.17/68.38 (define @t347 () (not (= @t340 @t195))) % 68.17/68.38 (define @t348 () (or @t344 @t347)) % 68.17/68.38 (define @t349 () (not @t348)) % 68.17/68.38 (define @t350 () (@list @t345)) % 68.17/68.38 (define @t351 () (= @t2 @t120)) % 68.17/68.38 (define @t352 () (= @t2 tptp.nil)) % 68.17/68.38 (define @t353 () (or @t205 @t352 @t351)) % 68.17/68.38 (define @t354 () (not @t352)) % 68.17/68.38 (define @t355 () (not @t354)) % 68.17/68.38 (define @t356 () (=> @t354 @t351)) % 68.17/68.38 (define @t357 () (tptp.tl @t195)) % 68.17/68.38 (define @t358 () (tptp.hd @t195)) % 68.17/68.38 (define @t359 () (tptp.cons @t358 @t357)) % 68.17/68.38 (define @t360 () (= @t195 @t359)) % 68.17/68.38 (define @t361 () (= @t195 tptp.nil)) % 68.17/68.38 (define @t362 () (or @t203 @t361 @t360)) % 68.17/68.38 (define @t363 () (forall @t11 @t353)) % 68.17/68.38 (define @t364 () (= tptp.nil @t195)) % 68.17/68.38 (define @t365 () (or @t203 @t364 @t360)) % 68.17/68.38 (define @t366 () (not @t364)) % 68.17/68.38 (define @t367 () (= false true)) % 68.17/68.38 (define @t368 () (and @t200 @t364 @t111)) % 68.17/68.38 (define @t369 () (@list true false)) % 68.17/68.38 (define @t370 () (@list false true false)) % 68.17/68.38 (define @t371 () (@var "BOUND_VARIABLE_9359" $$unsorted)) % 68.17/68.38 (define @t372 () (= @t2 (tptp.tl (tptp.cons @t371 @t2)))) % 68.17/68.38 (define @t373 () (not (tptp.ssItem @t371))) % 68.17/68.38 (define @t374 () (or @t373 @t372)) % 68.17/68.38 (define @t375 () (or @t205 @t374)) % 68.17/68.38 (define @t376 () (forall (@list @t2 @t371) @t375)) % 68.17/68.38 (define @t377 () (@list @t371)) % 68.17/68.38 (define @t378 () (forall @t377 @t375)) % 68.17/68.38 (define @t379 () (forall @t377 @t374)) % 68.17/68.38 (define @t380 () (@list @t1)) % 68.17/68.38 (define @t381 () (or @t205 @t379)) % 68.17/68.38 (define @t382 () (= @t2 @t80)) % 68.17/68.38 (define @t383 () (forall @t7 (or @t168 @t382))) % 68.17/68.38 (define @t384 () (= tptp.nil (tptp.tl @t340))) % 68.17/68.38 (define @t385 () (not @t69)) % 68.17/68.38 (define @t386 () (or @t385 @t344 @t384)) % 68.17/68.38 (define @t387 () (@list false false false)) % 68.17/68.38 (define @t388 () (@var "BOUND_VARIABLE_8544" $$unsorted)) % 68.17/68.38 (define @t389 () (@var "BOUND_VARIABLE_8538" $$unsorted)) % 68.17/68.38 (define @t390 () (@var "BOUND_VARIABLE_8542" $$unsorted)) % 68.17/68.38 (define @t391 () (@var "BOUND_VARIABLE_8540" $$unsorted)) % 68.17/68.38 (define @t392 () (tptp.app (tptp.app @t391 (tptp.cons @t1 @t390)) (tptp.cons @t389 @t388))) % 68.17/68.38 (define @t393 () (not (= @t2 @t392))) % 68.17/68.38 (define @t394 () (not (tptp.ssList @t388))) % 68.17/68.38 (define @t395 () (not (tptp.ssList @t390))) % 68.17/68.38 (define @t396 () (not (tptp.ssList @t391))) % 68.17/68.38 (define @t397 () (not (tptp.leq @t389 @t1))) % 68.17/68.38 (define @t398 () (not (tptp.leq @t1 @t389))) % 68.17/68.38 (define @t399 () (not (tptp.ssItem @t389))) % 68.17/68.38 (define @t400 () (or @t168 @t399 @t398 @t397 @t396 @t395 @t394 @t393)) % 68.17/68.38 (define @t401 () (@list @t1 @t389 @t391 @t390 @t388)) % 68.17/68.38 (define @t402 () (= @t58 (forall @t401 @t400))) % 68.17/68.38 (define @t403 () (or @t399 @t398 @t397 @t396 @t395 @t394 @t393)) % 68.17/68.38 (define @t404 () (or @t168 @t403)) % 68.17/68.38 (define @t405 () (forall @t401 @t404)) % 68.17/68.38 (define @t406 () (@list @t389 @t391 @t390 @t388)) % 68.17/68.38 (define @t407 () (forall @t406 @t404)) % 68.17/68.38 (define @t408 () (forall @t406 @t403)) % 68.17/68.38 (define @t409 () (@var "BOUND_VARIABLE_8514" $$unsorted)) % 68.17/68.38 (define @t410 () (@var "BOUND_VARIABLE_8512" $$unsorted)) % 68.17/68.38 (define @t411 () (@var "BOUND_VARIABLE_8510" $$unsorted)) % 68.17/68.38 (define @t412 () (or @t168 @t408)) % 68.17/68.38 (define @t413 () (not (= @t2 (tptp.app (tptp.app @t411 (tptp.cons @t1 @t410)) (tptp.cons @t15 @t409))))) % 68.17/68.38 (define @t414 () (not (tptp.ssList @t409))) % 68.17/68.38 (define @t415 () (not (tptp.ssList @t410))) % 68.17/68.38 (define @t416 () (not (tptp.ssList @t411))) % 68.17/68.38 (define @t417 () (not @t34)) % 68.17/68.38 (define @t418 () (not @t35)) % 68.17/68.38 (define @t419 () (not @t53)) % 68.17/68.38 (define @t420 () (or @t419 @t418 @t417 @t416 @t415 @t414 @t413)) % 68.17/68.38 (define @t421 () (@list @t15 @t411 @t410 @t409)) % 68.17/68.38 (define @t422 () (forall @t421 @t420)) % 68.17/68.38 (define @t423 () (or @t416 @t415 @t414 @t413)) % 68.17/68.38 (define @t424 () (or @t419 @t418 @t417 @t423)) % 68.17/68.38 (define @t425 () (forall @t421 @t424)) % 68.17/68.38 (define @t426 () (@list @t411 @t410 @t409)) % 68.17/68.38 (define @t427 () (forall @t426 @t424)) % 68.17/68.38 (define @t428 () (forall @t426 @t423)) % 68.17/68.38 (define @t429 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 68.17/68.38 (define @t430 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 68.17/68.38 (define @t431 () (or @t419 @t418 @t417 @t428)) % 68.17/68.38 (define @t432 () (not (= @t2 (tptp.app (tptp.app @t13 (tptp.cons @t1 @t430)) (tptp.cons @t15 @t429))))) % 68.17/68.38 (define @t433 () (not (tptp.ssList @t429))) % 68.17/68.38 (define @t434 () (not (tptp.ssList @t430))) % 68.17/68.38 (define @t435 () (or @t265 @t434 @t433 @t432)) % 68.17/68.38 (define @t436 () (@list @t13 @t430 @t429)) % 68.17/68.38 (define @t437 () (forall @t436 @t435)) % 68.17/68.38 (define @t438 () (or @t419 @t418 @t417 @t437)) % 68.17/68.38 (define @t439 () (or @t418 @t417 @t437)) % 68.17/68.38 (define @t440 () (or @t434 @t433 @t432)) % 68.17/68.38 (define @t441 () (or @t265 @t440)) % 68.17/68.38 (define @t442 () (forall @t436 @t441)) % 68.17/68.38 (define @t443 () (@list @t430 @t429)) % 68.17/68.38 (define @t444 () (forall @t443 @t441)) % 68.17/68.38 (define @t445 () (forall @t443 @t440)) % 68.17/68.38 (define @t446 () (@var "BOUND_VARIABLE_8462" $$unsorted)) % 68.17/68.38 (define @t447 () (or @t265 @t445)) % 68.17/68.38 (define @t448 () (not (= @t2 (tptp.app @t39 (tptp.cons @t15 @t446))))) % 68.17/68.38 (define @t449 () (not (tptp.ssList @t446))) % 68.17/68.38 (define @t450 () (not @t47)) % 68.17/68.38 (define @t451 () (or @t450 @t449 @t448)) % 68.17/68.38 (define @t452 () (@list @t38 @t446)) % 68.17/68.38 (define @t453 () (forall @t452 @t451)) % 68.17/68.38 (define @t454 () (or @t265 @t453)) % 68.17/68.38 (define @t455 () (forall @t17 @t454)) % 68.17/68.38 (define @t456 () (or @t418 @t417 @t455)) % 68.17/68.38 (define @t457 () (or @t418 @t417 @t454)) % 68.17/68.38 (define @t458 () (or @t265 @t418 @t417 @t453)) % 68.17/68.38 (define @t459 () (or @t418 @t417 @t453)) % 68.17/68.38 (define @t460 () (or @t449 @t448)) % 68.17/68.38 (define @t461 () (or @t450 @t460)) % 68.17/68.38 (define @t462 () (forall @t452 @t461)) % 68.17/68.38 (define @t463 () (@list @t446)) % 68.17/68.38 (define @t464 () (forall @t463 @t461)) % 68.17/68.38 (define @t465 () (forall @t463 @t460)) % 68.17/68.38 (define @t466 () (or @t450 @t465)) % 68.17/68.38 (define @t467 () (= @t2 @t40)) % 68.17/68.38 (define @t468 () (not @t467)) % 68.17/68.38 (define @t469 () (not @t43)) % 68.17/68.38 (define @t470 () (or @t469 @t468)) % 68.17/68.38 (define @t471 () (forall @t45 @t470)) % 68.17/68.38 (define @t472 () (or @t450 @t471)) % 68.17/68.38 (define @t473 () (forall @t49 @t472)) % 68.17/68.38 (define @t474 () (or @t418 @t417 @t473)) % 68.17/68.38 (define @t475 () (or @t418 @t417 @t472)) % 68.17/68.38 (define @t476 () (or @t450 @t418 @t417 @t471)) % 68.17/68.38 (define @t477 () (or @t418 @t417 @t471)) % 68.17/68.38 (define @t478 () (or @t418 @t417 @t470)) % 68.17/68.38 (define @t479 () (or @t469 @t468 @t418 @t417)) % 68.17/68.38 (define @t480 () (or @t468 @t418 @t417)) % 68.17/68.38 (define @t481 () (=> @t467 @t36)) % 68.17/68.38 (define @t482 () (not (= @t195 @t392))) % 68.17/68.38 (define @t483 () (or @t168 @t399 @t398 @t397 @t396 @t395 @t394 @t482)) % 68.17/68.38 (define @t484 () (forall @t401 @t483)) % 68.17/68.38 (define @t485 () (tptp.cyclefreeP @t195)) % 68.17/68.38 (define @t486 () (= @t485 @t484)) % 68.17/68.38 (define @t487 () (or @t203 @t486)) % 68.17/68.38 (define @t488 () (forall @t11 (or @t205 @t402))) % 68.17/68.38 (define @t489 () (forall @t401 (or @t168 @t399 @t398 @t397 @t396 @t395 @t394 (not (= @t392 @t195))))) % 68.17/68.38 (define @t490 () (= @t485 @t489)) % 68.17/68.38 (define @t491 () (or @t203 @t490)) % 68.17/68.38 (define @t492 () (@var "BOUND_VARIABLE_8181" $$unsorted)) % 68.17/68.38 (define @t493 () (= (tptp.neq @t2 @t492) (not (= @t2 @t492)))) % 68.17/68.38 (define @t494 () (not (tptp.ssItem @t492))) % 68.17/68.38 (define @t495 () (not @t9)) % 68.17/68.38 (define @t496 () (or @t494 @t493)) % 68.17/68.38 (define @t497 () (or @t495 @t496)) % 68.17/68.38 (define @t498 () (forall (@list @t2 @t492) @t497)) % 68.17/68.38 (define @t499 () (@list @t492)) % 68.17/68.38 (define @t500 () (forall @t499 @t497)) % 68.17/68.38 (define @t501 () (forall @t499 @t496)) % 68.17/68.38 (define @t502 () (or @t495 @t501)) % 68.17/68.38 (define @t503 () (forall @t7 (or @t168 @t5))) % 68.17/68.38 (define @t504 () (= @t191 @t189)) % 68.17/68.38 (define @t505 () (not @t504)) % 68.17/68.38 (define @t506 () (= @t329 @t505)) % 68.17/68.38 (define @t507 () (or @t333 @t331 @t506)) % 68.17/68.38 (define @t508 () (not @t506)) % 68.17/68.38 (define @t509 () (= @t2 @t97)) % 68.17/68.38 (define @t510 () (tptp.app tptp.nil @t188)) % 68.17/68.38 (define @t511 () (= @t188 @t510)) % 68.17/68.38 (define @t512 () (or @t326 @t511)) % 68.17/68.38 (define @t513 () (tptp.cons @t189 @t510)) % 68.17/68.38 (define @t514 () (@var "BOUND_VARIABLE_9416" $$unsorted)) % 68.17/68.38 (define @t515 () (@var "BOUND_VARIABLE_9418" $$unsorted)) % 68.17/68.38 (define @t516 () (= (tptp.cons @t515 (tptp.app @t514 @t2)) (tptp.app (tptp.cons @t515 @t514) @t2))) % 68.17/68.38 (define @t517 () (not (tptp.ssItem @t515))) % 68.17/68.38 (define @t518 () (not (tptp.ssList @t514))) % 68.17/68.38 (define @t519 () (or @t205 @t518 @t517 @t516)) % 68.17/68.38 (define @t520 () (or @t518 @t517 @t516)) % 68.17/68.38 (define @t521 () (or @t205 @t520)) % 68.17/68.38 (define @t522 () (@list @t2 @t514 @t515)) % 68.17/68.38 (define @t523 () (forall @t522 @t521)) % 68.17/68.38 (define @t524 () (@list @t514 @t515)) % 68.17/68.38 (define @t525 () (forall @t524 @t521)) % 68.17/68.38 (define @t526 () (forall @t524 @t520)) % 68.17/68.38 (define @t527 () (@var "BOUND_VARIABLE_9398" $$unsorted)) % 68.17/68.38 (define @t528 () (or @t205 @t526)) % 68.17/68.38 (define @t529 () (= (tptp.cons @t527 @t90) (tptp.app (tptp.cons @t527 @t1) @t2))) % 68.17/68.38 (define @t530 () (not (tptp.ssItem @t527))) % 68.17/68.38 (define @t531 () (or @t243 @t530 @t529)) % 68.17/68.38 (define @t532 () (@list @t1 @t527)) % 68.17/68.38 (define @t533 () (forall @t532 @t531)) % 68.17/68.38 (define @t534 () (or @t530 @t529)) % 68.17/68.38 (define @t535 () (or @t243 @t534)) % 68.17/68.38 (define @t536 () (forall @t532 @t535)) % 68.17/68.38 (define @t537 () (@list @t527)) % 68.17/68.38 (define @t538 () (forall @t537 @t535)) % 68.17/68.38 (define @t539 () (forall @t537 @t534)) % 68.17/68.38 (define @t540 () (@list @t15)) % 68.17/68.38 (define @t541 () (or @t243 @t539)) % 68.17/68.38 (define @t542 () (forall @t19 (or @t419 @t91))) % 68.17/68.38 (define @t543 () (tptp.app @t190 @t188)) % 68.17/68.38 (define @t544 () (or @t326 @t385 @t331 (= @t513 @t543))) % 68.17/68.38 (define @t545 () (forall @t522 @t519)) % 68.17/68.38 (define @t546 () (= @t543 @t513)) % 68.17/68.38 (define @t547 () (or @t326 @t385 @t331 @t546)) % 68.17/68.38 (define @t548 () (@list false false false false)) % 68.17/68.38 (define @t549 () (tptp.app @t194 @t543)) % 68.17/68.38 (define @t550 () (@var "BOUND_VARIABLE_10579" $$unsorted)) % 68.17/68.38 (define @t551 () (@var "BOUND_VARIABLE_10577" $$unsorted)) % 68.17/68.38 (define @t552 () (= (tptp.app (tptp.app @t2 @t551) @t550) (tptp.app @t2 (tptp.app @t551 @t550)))) % 68.17/68.38 (define @t553 () (not (tptp.ssList @t550))) % 68.17/68.38 (define @t554 () (not (tptp.ssList @t551))) % 68.17/68.38 (define @t555 () (or @t554 @t553 @t552)) % 68.17/68.38 (define @t556 () (or @t205 @t555)) % 68.17/68.38 (define @t557 () (forall (@list @t2 @t551 @t550) @t556)) % 68.17/68.38 (define @t558 () (@list @t551 @t550)) % 68.17/68.38 (define @t559 () (forall @t558 @t556)) % 68.17/68.38 (define @t560 () (forall @t558 @t555)) % 68.17/68.38 (define @t561 () (@var "BOUND_VARIABLE_10559" $$unsorted)) % 68.17/68.38 (define @t562 () (or @t205 @t560)) % 68.17/68.38 (define @t563 () (= (tptp.app @t85 @t561) (tptp.app @t2 (tptp.app @t1 @t561)))) % 68.17/68.38 (define @t564 () (not (tptp.ssList @t561))) % 68.17/68.38 (define @t565 () (or @t243 @t564 @t563)) % 68.17/68.38 (define @t566 () (@list @t1 @t561)) % 68.17/68.38 (define @t567 () (forall @t566 @t565)) % 68.17/68.38 (define @t568 () (or @t564 @t563)) % 68.17/68.38 (define @t569 () (or @t243 @t568)) % 68.17/68.38 (define @t570 () (forall @t566 @t569)) % 68.17/68.38 (define @t571 () (@list @t561)) % 68.17/68.38 (define @t572 () (forall @t571 @t569)) % 68.17/68.38 (define @t573 () (forall @t571 @t568)) % 68.17/68.38 (define @t574 () (or @t243 @t573)) % 68.17/68.38 (define @t575 () (forall @t19 (or @t255 @t125))) % 68.17/68.38 (define @t576 () (@var "BOUND_VARIABLE_9379" $$unsorted)) % 68.17/68.38 (define @t577 () (tptp.ssList (tptp.app @t2 @t576))) % 68.17/68.38 (define @t578 () (not (tptp.ssList @t576))) % 68.17/68.38 (define @t579 () (or @t578 @t577)) % 68.17/68.38 (define @t580 () (or @t205 @t579)) % 68.17/68.38 (define @t581 () (forall (@list @t2 @t576) @t580)) % 68.17/68.38 (define @t582 () (@list @t576)) % 68.17/68.38 (define @t583 () (forall @t582 @t580)) % 68.17/68.38 (define @t584 () (forall @t582 @t579)) % 68.17/68.38 (define @t585 () (or @t205 @t584)) % 68.17/68.38 (define @t586 () (forall @t7 (or @t243 @t86))) % 68.17/68.38 (define @t587 () (@var "BOUND_VARIABLE_9135" $$unsorted)) % 68.17/68.38 (define @t588 () (tptp.ssList (tptp.cons @t587 @t2))) % 68.17/68.38 (define @t589 () (not (tptp.ssItem @t587))) % 68.17/68.38 (define @t590 () (or @t589 @t588)) % 68.17/68.38 (define @t591 () (or @t205 @t590)) % 68.17/68.38 (define @t592 () (forall (@list @t2 @t587) @t591)) % 68.17/68.38 (define @t593 () (@list @t587)) % 68.17/68.38 (define @t594 () (forall @t593 @t591)) % 68.17/68.38 (define @t595 () (forall @t593 @t590)) % 68.17/68.38 (define @t596 () (or @t205 @t595)) % 68.17/68.38 (define @t597 () (forall @t7 (or @t168 @t65))) % 68.17/68.38 (define @t598 () (tptp.ssList @t192)) % 68.17/68.38 (define @t599 () (or @t385 @t333 @t598)) % 68.17/68.38 (define @t600 () (tptp.ssList @t194)) % 68.17/68.38 (define @t601 () (not @t598)) % 68.17/68.38 (define @t602 () (or @t328 @t601 @t600)) % 68.17/68.38 (define @t603 () (tptp.ssList @t190)) % 68.17/68.38 (define @t604 () (= @t195 @t549)) % 68.17/68.38 (define @t605 () (not @t603)) % 68.17/68.38 (define @t606 () (not @t600)) % 68.17/68.38 (define @t607 () (or @t606 @t605 @t326 @t604)) % 68.17/68.38 (define @t608 () (tptp.leq @t191 @t191)) % 68.17/68.38 (define @t609 () (or @t333 @t608)) % 68.17/68.38 (define @t610 () (tptp.app @t194 (tptp.cons @t191 @t188))) % 68.17/68.38 (define @t611 () (= @t195 @t610)) % 68.17/68.38 (define @t612 () (not @t611)) % 68.17/68.38 (define @t613 () (not @t608)) % 68.17/68.38 (define @t614 () (or @t333 @t333 @t613 @t613 @t328 @t385 @t326 @t612)) % 68.17/68.38 (define @t615 () (not @t614)) % 68.17/68.38 (define @t616 () (not (= @t610 @t195))) % 68.17/68.38 (define @t617 () (or @t333 @t333 @t613 @t613 @t328 @t385 @t326 @t616)) % 68.17/68.38 (define @t618 () (not @t485)) % 68.17/68.38 (define @t619 () (or @t205 @t352 @t74)) % 68.17/68.38 (define @t620 () (=> @t354 @t74)) % 68.17/68.38 (define @t621 () (tptp.ssItem @t358)) % 68.17/68.38 (define @t622 () (or @t203 @t361 @t621)) % 68.17/68.38 (define @t623 () (forall @t11 @t619)) % 68.17/68.38 (define @t624 () (or @t203 @t364 @t621)) % 68.17/68.38 (define @t625 () (tptp.cyclefreeP (tptp.cons @t358 tptp.nil))) % 68.17/68.38 (define @t626 () (not @t621)) % 68.17/68.38 (define @t627 () (or @t626 @t625)) % 68.17/68.38 (define @t628 () (not @t625)) % 68.17/68.38 (define @t629 () (not @t384)) % 68.17/68.38 (define @t630 () (not @t360)) % 68.17/68.38 (define @t631 () (and @t625 @t384 @t341 @t360 @t618)) % 68.17/68.38 (assume @p1 @t12) % 68.17/68.38 (assume @p2 (exists @t11 (and @t9 (exists @t7 (and @t6 @t4))))) % 68.17/68.38 (assume @p3 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t15 @t14) @t2))))))))))) % 68.17/68.38 (assume @p4 @t27) % 68.17/68.38 (assume @p5 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= @t29 (exists @t19 (and @t18 (= @t28 @t2))))))))) % 68.17/68.38 (assume @p6 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= @t32 (exists @t19 (and @t18 (= @t31 @t2))))))))) % 68.17/68.38 (assume @p7 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= @t33 (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t31 @t13) @t2))))))))))) % 68.17/68.38 (assume @p8 @t61) % 68.17/68.38 (assume @p9 (forall @t11 (=> @t20 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 (or @t35 @t34)))))))))))))))) % 68.17/68.38 (assume @p10 (forall @t11 (=> @t20 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 (or @t62 (tptp.lt @t15 @t1))))))))))))))))) % 68.17/68.38 (assume @p11 (forall @t11 (=> @t20 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 @t35))))))))))))))) % 68.17/68.38 (assume @p12 (forall @t11 (=> @t20 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 @t62))))))))))))))) % 68.17/68.38 (assume @p13 (forall @t11 (=> @t20 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 (not @t63)))))))))))))))) % 68.17/68.38 (assume @p14 (forall @t11 (=> @t20 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (=> (= (tptp.app @t13 (tptp.cons @t1 (tptp.cons @t15 @t38))) @t2) @t63))))))))))))) % 68.17/68.38 (assume @p15 (forall @t11 (=> @t20 (forall @t7 (=> @t30 @t5))))) % 68.17/68.38 (assume @p16 @t68) % 68.17/68.38 (assume @p17 @t69) % 68.17/68.38 (assume @p18 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= @t64 @t2))))))) % 68.17/68.38 (assume @p19 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t53 (forall @t17 (=> (tptp.ssItem @t13) (=> (= (tptp.cons @t15 @t2) (tptp.cons @t13 @t1)) (and (= @t15 @t13) @t70))))))))))) % 68.17/68.38 (assume @p20 (forall @t11 (=> @t20 (or @t72 (exists @t7 (and @t30 (exists @t19 (and @t53 (= @t71 @t2))))))))) % 68.17/68.38 (assume @p21 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= tptp.nil @t64))))))) % 68.17/68.38 (assume @p22 @t78) % 68.17/68.38 (assume @p23 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.hd @t64) @t1)))))) % 68.17/68.38 (assume @p24 (forall @t11 (=> @t20 (=> @t75 (tptp.ssList @t79))))) % 68.17/68.38 (assume @p25 @t84) % 68.17/68.38 (assume @p26 @t89) % 68.17/68.38 (assume @p27 @t96) % 68.17/68.38 (assume @p28 @t99) % 68.17/68.38 (assume @p29 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t101 @t100) @t3)))))) % 68.17/68.38 (assume @p30 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t101 @t35) (tptp.leq @t2 @t15))))))))) % 68.17/68.38 (assume @p31 @t103) % 68.17/68.38 (assume @p32 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t104 @t100)))))) % 68.17/68.38 (assume @p33 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t106 (not @t105))))))) % 68.17/68.38 (assume @p34 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t106 @t62) @t107)))))))) % 68.17/68.38 (assume @p35 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t108 @t105)))))) % 68.17/68.38 (assume @p36 (forall @t11 (=> @t9 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (= (tptp.memberP @t28 @t2) (or (tptp.memberP @t1 @t2) @t109))))))))) % 68.17/68.38 (assume @p37 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t15) @t2) (or @t3 @t109))))))))) % 68.17/68.38 (assume @p38 (forall @t11 (=> @t9 (not (tptp.memberP tptp.nil @t2))))) % 68.17/68.38 (assume @p39 @t111) % 68.17/68.38 (assume @p40 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (and @t29 (tptp.frontsegP @t1 @t15)) (tptp.frontsegP @t2 @t15))))))))) % 68.17/68.38 (assume @p41 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t29 (tptp.frontsegP @t1 @t2)) @t3)))))) % 68.17/68.38 (assume @p42 (forall @t11 (=> @t20 (tptp.frontsegP @t2 @t2)))) % 68.17/68.38 (assume @p43 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> @t29 (tptp.frontsegP (tptp.app @t2 @t15) @t1))))))))) % 68.17/68.38 (assume @p44 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (= (tptp.frontsegP (tptp.cons @t2 @t15) @t14) (and @t3 (tptp.frontsegP @t15 @t13)))))))))))) % 68.17/68.38 (assume @p45 (forall @t11 (=> @t20 (tptp.frontsegP @t2 tptp.nil)))) % 68.17/68.38 (assume @p46 (forall @t11 (=> @t20 (= (tptp.frontsegP tptp.nil @t2) @t72)))) % 68.17/68.38 (assume @p47 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (and @t32 (tptp.rearsegP @t1 @t15)) (tptp.rearsegP @t2 @t15))))))))) % 68.17/68.38 (assume @p48 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t32 (tptp.rearsegP @t1 @t2)) @t3)))))) % 68.17/68.38 (assume @p49 (forall @t11 (=> @t20 (tptp.rearsegP @t2 @t2)))) % 68.17/68.38 (assume @p50 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> @t32 (tptp.rearsegP @t112 @t1))))))))) % 68.17/68.38 (assume @p51 (forall @t11 (=> @t20 (tptp.rearsegP @t2 tptp.nil)))) % 68.17/68.38 (assume @p52 (forall @t11 (=> @t20 (= (tptp.rearsegP tptp.nil @t2) @t72)))) % 68.17/68.38 (assume @p53 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (and @t33 (tptp.segmentP @t1 @t15)) (tptp.segmentP @t2 @t15))))))))) % 68.17/68.38 (assume @p54 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t33 (tptp.segmentP @t1 @t2)) @t3)))))) % 68.17/68.38 (assume @p55 (forall @t11 (=> @t20 (tptp.segmentP @t2 @t2)))) % 68.17/68.38 (assume @p56 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (=> @t33 (tptp.segmentP (tptp.app @t112 @t13) @t1))))))))))) % 68.17/68.38 (assume @p57 (forall @t11 (=> @t20 (tptp.segmentP @t2 tptp.nil)))) % 68.17/68.38 (assume @p58 (forall @t11 (=> @t20 (= (tptp.segmentP tptp.nil @t2) @t72)))) % 68.17/68.38 (assume @p59 @t115) % 68.17/68.38 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 68.17/68.38 (assume @p61 (forall @t11 (=> @t9 (tptp.totalorderP @t113)))) % 68.17/68.38 (assume @p62 (tptp.totalorderP tptp.nil)) % 68.17/68.38 (assume @p63 (forall @t11 (=> @t9 (tptp.strictorderP @t113)))) % 68.17/68.38 (assume @p64 (tptp.strictorderP tptp.nil)) % 68.17/68.38 (assume @p65 (forall @t11 (=> @t9 (tptp.totalorderedP @t113)))) % 68.17/68.38 (assume @p66 (tptp.totalorderedP tptp.nil)) % 68.17/68.38 (assume @p67 (forall @t11 (=> @t9 (forall @t7 (=> @t30 (= (tptp.totalorderedP @t119) (or @t117 (and @t118 (tptp.totalorderedP @t1) (tptp.leq @t2 @t116))))))))) % 68.17/68.38 (assume @p68 (forall @t11 (=> @t9 (tptp.strictorderedP @t113)))) % 68.17/68.38 (assume @p69 (tptp.strictorderedP tptp.nil)) % 68.17/68.38 (assume @p70 (forall @t11 (=> @t9 (forall @t7 (=> @t30 (= (tptp.strictorderedP @t119) (or @t117 (and @t118 (tptp.strictorderedP @t1) (tptp.lt @t2 @t116))))))))) % 68.17/68.38 (assume @p71 (forall @t11 (=> @t9 (tptp.duplicatefreeP @t113)))) % 68.17/68.38 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 68.17/68.38 (assume @p73 (forall @t11 (=> @t9 (tptp.equalelemsP @t113)))) % 68.17/68.38 (assume @p74 (tptp.equalelemsP tptp.nil)) % 68.17/68.38 (assume @p75 (forall @t11 (=> @t20 (=> @t75 (exists @t7 (and @t6 (= @t73 @t1))))))) % 68.17/68.38 (assume @p76 (forall @t11 (=> @t20 (=> @t75 (exists @t7 (and @t30 (= @t79 @t1))))))) % 68.17/68.38 (assume @p77 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t118 @t75 (= @t116 @t73) (= (tptp.tl @t1) @t79)) @t70)))))) % 68.17/68.38 (assume @p78 @t123) % 68.17/68.38 (assume @p79 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (= @t31 @t85) @t124)))))))) % 68.17/68.38 (assume @p80 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (= @t28 @t90) @t124)))))))) % 68.17/68.38 (assume @p81 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= @t64 (tptp.app @t21 @t2))))))) % 68.17/68.38 (assume @p82 @t130) % 68.17/68.38 (assume @p83 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= (= tptp.nil @t85) (and @t117 @t72))))))) % 68.17/68.38 (assume @p84 (forall @t11 (=> @t20 (= (tptp.app @t2 tptp.nil) @t2)))) % 68.17/68.38 (assume @p85 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> @t75 (= (tptp.hd @t85) @t73))))))) % 68.17/68.38 (assume @p86 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> @t75 (= (tptp.tl @t85) (tptp.app @t79 @t1)))))))) % 68.17/68.38 (assume @p87 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t104 (tptp.geq @t1 @t2)) @t3)))))) % 68.17/68.38 (assume @p88 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t104 (tptp.geq @t1 @t15)) (tptp.geq @t2 @t15))))))))) % 68.17/68.38 (assume @p89 (forall @t11 (=> @t9 (tptp.geq @t2 @t2)))) % 68.17/68.38 (assume @p90 (forall @t11 (=> @t9 (not (tptp.lt @t2 @t2))))) % 68.17/68.38 (assume @p91 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t101 @t62) @t107)))))))) % 68.17/68.38 (assume @p92 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t101 (or @t3 @t106))))))) % 68.17/68.38 (assume @p93 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t106 (and @t4 @t101))))))) % 68.17/68.38 (assume @p94 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t108 (not (tptp.gt @t1 @t2)))))))) % 68.17/68.38 (assume @p95 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t108 (tptp.gt @t1 @t15)) (tptp.gt @t2 @t15))))))))) % 68.17/68.38 (assume @p96 @t166) % 68.17/68.38 (assume @p97 true) % 68.17/68.38 (step @p98 :rule bool-impl-elim :args (@t20 @t169)) % 68.17/68.38 (step @p99 :rule cong :premises (@p98) :args ((forall @t11 (=> @t20 @t169)))) % 68.17/68.38 (step @p100 :rule bool-and-de-morgan :args (@t6 @t167 true)) % 68.17/68.38 (step @p101 :rule cong :premises (@p100) :args (@t171)) % 68.17/68.38 (step @p102 :rule cong :premises (@p101) :args (@t172)) % 68.17/68.38 (step @p103 :rule exists-elim :args ((= (exists @t7 @t170) @t172))) % 68.17/68.38 (step @p104 :rule trans :premises (@p103 @p102)) % 68.17/68.38 (step @p105 :rule eq-symm :args (@t21 @t2)) % 68.17/68.38 (step @p106 :rule refl :args (@t6)) % 68.17/68.38 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t22)) % 68.17/68.38 (step @p108 :rule cong :premises (@p107) :args (@t23)) % 68.17/68.38 (step @p109 :rule trans :premises (@p108 @p104)) % 68.17/68.38 (step @p110 :rule refl :args (@t24)) % 68.17/68.38 (step @p111 :rule cong :premises (@p110 @p109) :args (@t25)) % 68.17/68.38 (step @p112 :rule refl :args (@t20)) % 68.17/68.38 (step @p113 :rule cong :premises (@p112 @p111) :args (@t26)) % 68.17/68.38 (step @p114 :rule cong :premises (@p113) :args (@t27)) % 68.17/68.38 (step @p115 :rule trans :premises (@p114 @p99)) % 68.17/68.38 (step @p116 :rule eq_resolve :premises (@p4 @p115)) % 68.17/68.38 (step @p117 :rule eq-symm :args (@t195 @t21)) % 68.17/68.38 (step @p118 :rule cong :premises (@p117) :args (@t196)) % 68.17/68.38 (step @p119 :rule refl :args (@t168)) % 68.17/68.38 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t197)) % 68.17/68.38 (step @p121 :rule cong :premises (@p120) :args (@t198)) % 68.17/68.38 (step @p122 :rule cong :premises (@p121) :args (@t199)) % 68.17/68.38 (step @p123 :rule refl :args (@t200)) % 68.17/68.38 (step @p124 :rule cong :premises (@p123 @p122) :args (@t201)) % 68.17/68.38 (step @p125 :rule refl :args (@t203)) % 68.17/68.38 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t204)) % 68.17/68.38 (step @p127 :rule refl :args (@t206)) % 68.17/68.38 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t206 @t204))) % 68.17/68.38 (assume-push @p1008 @t206) % 68.17/68.38 (step @p130 :rule instantiate :premises (@p116) :args (@t207)) % 68.17/68.38 (step-pop @p1009 :rule scope :premises (@p130)) % 68.17/68.38 (step @p131 :rule process_scope :premises (@p1009) :args (@t204)) % 68.17/68.38 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 68.17/68.38 (step @p134 :rule implies_elim :premises (@p133)) % 68.17/68.38 (step @p135 :rule chain_m_resolution :premises (@p134 @p116) :args (@t211 @t212 (@list @t206))) % 68.17/68.38 (step @p136 :rule aci_norm :args ((= (or @t184 @t183 @t181 @t180 @t179 @t176 @t174 false) @t185))) % 68.17/68.38 (step @p137 :rule evaluate :args ((not true))) % 68.17/68.38 (step @p138 :rule eq-refl :args (@t182)) % 68.17/68.38 (step @p139 :rule cong :premises (@p138) :args (@t213)) % 68.17/68.38 (step @p140 :rule trans :premises (@p139 @p137)) % 68.17/68.38 (step @p141 :rule refl :args (@t174)) % 68.17/68.38 (step @p142 :rule refl :args (@t176)) % 68.17/68.38 (step @p143 :rule refl :args (@t179)) % 68.17/68.38 (step @p144 :rule refl :args (@t180)) % 68.17/68.38 (step @p145 :rule refl :args (@t181)) % 68.17/68.38 (step @p146 :rule refl :args (@t183)) % 68.17/68.38 (step @p147 :rule refl :args (@t184)) % 68.17/68.38 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140) :args (@t214)) % 68.17/68.38 (step @p149 :rule trans :premises (@p148 @p136)) % 68.17/68.38 (step @p150 :rule cong :premises (@p149) :args ((forall @t186 @t214))) % 68.17/68.38 (step @p151 :rule quant-var-elim-eq :args ((= (forall @t11 @t217) @t214))) % 68.17/68.38 (step @p152 :rule aci_norm :args ((= @t218 @t217))) % 68.17/68.38 (step @p153 :rule cong :premises (@p152) :args (@t219)) % 68.17/68.38 (step @p154 :rule trans :premises (@p153 @p151)) % 68.17/68.38 (step @p155 :rule cong :premises (@p154) :args (@t220)) % 68.17/68.38 (step @p156 :rule quant-merge-prenex :args ((= @t220 @t221))) % 68.17/68.38 (step @p157 :rule symm :premises (@p156)) % 68.17/68.38 (step @p158 :rule quant_var_reordering :args ((= (forall @t222 @t218) @t221))) % 68.17/68.38 (step @p159 :rule trans :premises (@p158 @p157 @p155)) % 68.17/68.38 (step @p160 :rule trans :premises (@p159 @p150)) % 68.17/68.38 (step @p161 :rule aci_norm :args ((= @t224 @t218))) % 68.17/68.38 (step @p162 :rule cong :premises (@p161) :args (@t225)) % 68.17/68.38 (step @p163 :rule trans :premises (@p162 @p160)) % 68.17/68.38 (step @p164 :rule quant-merge-prenex :args ((= (forall @t11 @t226) @t225))) % 68.17/68.38 (step @p165 :rule refl :args (@t216)) % 68.17/68.38 (step @p166 :rule alpha_equiv :args (@t227 (@list @t178 @t177 @t175 @t173) (@list @t38 @t230 @t229 @t228))) % 68.17/68.38 (step @p167 :rule refl :args (@t205)) % 68.17/68.38 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args (@t231)) % 68.17/68.38 (step @p169 :rule quant-miniscope-or :args ((= @t226 @t231))) % 68.17/68.38 (step @p170 :rule trans :premises (@p169 @p168)) % 68.17/68.38 (step @p171 :rule symm :premises (@p170)) % 68.17/68.38 (step @p172 :rule cong :premises (@p171) :args (@t242)) % 68.17/68.38 (step @p173 :rule trans :premises (@p172 @p164)) % 68.17/68.38 (step @p174 :rule trans :premises (@p173 @p163)) % 68.17/68.38 (step @p175 :rule refl :args (@t244)) % 68.17/68.38 (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t245)) % 68.17/68.38 (step @p177 :rule quant-miniscope-or :args ((= (forall @t11 @t246) @t245))) % 68.17/68.38 (step @p178 :rule aci_norm :args ((= @t247 @t246))) % 68.17/68.38 (step @p179 :rule cong :premises (@p178) :args ((forall @t11 @t247))) % 68.17/68.38 (step @p180 :rule trans :premises (@p179 @p177)) % 68.17/68.38 (step @p181 :rule trans :premises (@p180 @p176)) % 68.17/68.38 (step @p182 :rule aci_norm :args ((= (or @t205 @t248) @t247))) % 68.17/68.38 (step @p183 :rule bool-impl-elim :args (@t20 @t248)) % 68.17/68.38 (step @p184 :rule trans :premises (@p183 @p182)) % 68.17/68.38 (step @p185 :rule cong :premises (@p184) :args ((forall @t11 (=> @t20 @t248)))) % 68.17/68.38 (step @p186 :rule trans :premises (@p185 @p181)) % 68.17/68.38 (step @p187 :rule quant-miniscope-or :args ((= (forall @t7 @t249) @t248))) % 68.17/68.38 (step @p188 :rule aci_norm :args ((= @t250 @t249))) % 68.17/68.38 (step @p189 :rule cong :premises (@p188) :args ((forall @t7 @t250))) % 68.17/68.38 (step @p190 :rule trans :premises (@p189 @p187)) % 68.17/68.38 (step @p191 :rule aci_norm :args ((= (or @t243 @t251) @t250))) % 68.17/68.38 (step @p192 :rule bool-impl-elim :args (@t30 @t251)) % 68.17/68.38 (step @p193 :rule trans :premises (@p192 @p191)) % 68.17/68.38 (step @p194 :rule cong :premises (@p193) :args ((forall @t7 (=> @t30 @t251)))) % 68.17/68.38 (step @p195 :rule trans :premises (@p194 @p190)) % 68.17/68.38 (step @p196 :rule aci_norm :args ((= (or @t240 @t243 @t252) @t251))) % 68.17/68.38 (step @p197 :rule aci_norm :args ((= (or @t205 false @t216) @t252))) % 68.17/68.38 (step @p198 :rule refl :args (@t216)) % 68.17/68.38 (step @p199 :rule eq-refl :args (@t2)) % 68.17/68.38 (step @p200 :rule cong :premises (@p199) :args (@t253)) % 68.17/68.38 (step @p201 :rule trans :premises (@p200 @p137)) % 68.17/68.38 (step @p202 :rule refl :args (@t205)) % 68.17/68.38 (step @p203 :rule nary_cong :premises (@p202 @p201 @p198) :args (@t254)) % 68.17/68.38 (step @p204 :rule trans :premises (@p203 @p197)) % 68.17/68.38 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t19 (or (not @t124) @t255 @t155 @t154)) @t254))) % 68.17/68.38 (step @p206 :rule refl :args (@t154)) % 68.17/68.38 (step @p207 :rule refl :args (@t155)) % 68.17/68.38 (step @p208 :rule refl :args (@t255)) % 68.17/68.38 (step @p209 :rule eq-symm :args (@t2 @t15)) % 68.17/68.38 (step @p210 :rule cong :premises (@p209) :args (@t155)) % 68.17/68.38 (step @p211 :rule nary_cong :premises (@p210 @p208 @p207 @p206) :args (@t256)) % 68.17/68.38 (step @p212 :rule aci_norm :args ((= @t257 @t256))) % 68.17/68.38 (step @p213 :rule trans :premises (@p212 @p211)) % 68.17/68.38 (step @p214 :rule cong :premises (@p213) :args (@t258)) % 68.17/68.38 (step @p215 :rule trans :premises (@p214 @p205)) % 68.17/68.38 (step @p216 :rule trans :premises (@p215 @p204)) % 68.17/68.38 (step @p217 :rule refl :args (@t243)) % 68.17/68.38 (step @p218 :rule refl :args (@t240)) % 68.17/68.38 (step @p219 :rule nary_cong :premises (@p218 @p217 @p216) :args (@t259)) % 68.17/68.38 (step @p220 :rule trans :premises (@p219 @p196)) % 68.17/68.38 (step @p221 :rule quant-miniscope-or :args ((= (forall @t19 @t260) @t259))) % 68.17/68.38 (step @p222 :rule aci_norm :args ((= @t261 @t260))) % 68.17/68.38 (step @p223 :rule cong :premises (@p222) :args ((forall @t19 @t261))) % 68.17/68.38 (step @p224 :rule trans :premises (@p223 @p221)) % 68.17/68.38 (step @p225 :rule trans :premises (@p224 @p220)) % 68.17/68.38 (step @p226 :rule aci_norm :args ((= (or @t255 @t262) @t261))) % 68.17/68.38 (step @p227 :rule bool-impl-elim :args (@t18 @t262)) % 68.17/68.38 (step @p228 :rule trans :premises (@p227 @p226)) % 68.17/68.38 (step @p229 :rule cong :premises (@p228) :args ((forall @t19 (=> @t18 @t262)))) % 68.17/68.38 (step @p230 :rule trans :premises (@p229 @p225)) % 68.17/68.38 (step @p231 :rule aci_norm :args ((= (or @t243 false) @t243))) % 68.17/68.38 (step @p232 :rule eq-refl :args (@t1)) % 68.17/68.38 (step @p233 :rule cong :premises (@p232) :args (@t263)) % 68.17/68.38 (step @p234 :rule trans :premises (@p233 @p137)) % 68.17/68.38 (step @p235 :rule nary_cong :premises (@p217 @p234) :args (@t264)) % 68.17/68.38 (step @p236 :rule trans :premises (@p235 @p231)) % 68.17/68.38 (step @p237 :rule quant-var-elim-eq :args ((= (forall @t17 (or (not (= @t13 @t1)) @t265 @t156)) @t264))) % 68.17/68.38 (step @p238 :rule refl :args (@t156)) % 68.17/68.38 (step @p239 :rule refl :args (@t265)) % 68.17/68.38 (step @p240 :rule eq-symm :args (@t1 @t13)) % 68.17/68.38 (step @p241 :rule cong :premises (@p240) :args (@t156)) % 68.17/68.38 (step @p242 :rule nary_cong :premises (@p241 @p239 @p238) :args (@t266)) % 68.17/68.38 (step @p243 :rule aci_norm :args ((= @t267 @t266))) % 68.17/68.38 (step @p244 :rule trans :premises (@p243 @p242)) % 68.17/68.38 (step @p245 :rule cong :premises (@p244) :args (@t268)) % 68.17/68.38 (step @p246 :rule trans :premises (@p245 @p237)) % 68.17/68.38 (step @p247 :rule trans :premises (@p246 @p236)) % 68.17/68.38 (step @p248 :rule refl :args (@t154)) % 68.17/68.38 (step @p249 :rule refl :args (@t155)) % 68.17/68.38 (step @p250 :rule nary_cong :premises (@p249 @p248 @p218 @p247) :args (@t269)) % 68.17/68.38 (step @p251 :rule quant-miniscope-or :args ((= (forall @t17 @t270) @t269))) % 68.17/68.38 (step @p252 :rule aci_norm :args ((= @t271 @t270))) % 68.17/68.38 (step @p253 :rule cong :premises (@p252) :args ((forall @t17 @t271))) % 68.17/68.38 (step @p254 :rule trans :premises (@p253 @p251)) % 68.17/68.38 (step @p255 :rule trans :premises (@p254 @p250)) % 68.17/68.38 (step @p256 :rule aci_norm :args ((= (or @t265 @t272) @t271))) % 68.17/68.38 (step @p257 :rule bool-impl-elim :args (@t16 @t272)) % 68.17/68.38 (step @p258 :rule trans :premises (@p257 @p256)) % 68.17/68.38 (step @p259 :rule cong :premises (@p258) :args ((forall @t17 (=> @t16 @t272)))) % 68.17/68.38 (step @p260 :rule trans :premises (@p259 @p255)) % 68.17/68.38 (step @p261 :rule aci_norm :args ((= @t274 @t238))) % 68.17/68.38 (step @p262 :rule cong :premises (@p261) :args (@t275)) % 68.17/68.38 (step @p263 :rule quant-merge-prenex :args ((= (forall @t49 @t277) @t275))) % 68.17/68.38 (step @p264 :rule alpha_equiv :args (@t278 (@list @t230 @t229 @t228) (@list @t37 @t280 @t279))) % 68.17/68.38 (step @p265 :rule refl :args (@t237)) % 68.17/68.38 (step @p266 :rule nary_cong :premises (@p265 @p264) :args (@t281)) % 68.17/68.38 (step @p267 :rule quant-miniscope-or :args ((= @t277 @t281))) % 68.17/68.38 (step @p268 :rule trans :premises (@p267 @p266)) % 68.17/68.38 (step @p269 :rule symm :premises (@p268)) % 68.17/68.38 (step @p270 :rule cong :premises (@p269) :args ((forall @t49 (or 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:rule refl :args (@t74)) % 68.17/68.38 (step @p939 :rule cong :premises (@p424 @p938) :args (@t76)) % 68.17/68.38 (step @p940 :rule cong :premises (@p112 @p939) :args (@t77)) % 68.17/68.38 (step @p941 :rule cong :premises (@p940) :args (@t78)) % 68.17/68.38 (step @p942 :rule trans :premises (@p941 @p937)) % 68.17/68.38 (step @p943 :rule eq_resolve :premises (@p22 @p942)) % 68.17/68.38 (step @p944 :rule refl :args (@t621)) % 68.17/68.38 (step @p945 :rule nary_cong :premises (@p125 @p431 @p944) :args (@t622)) % 68.17/68.38 (step @p946 :rule refl :args (@t623)) % 68.17/68.38 (step @p947 :rule cong :premises (@p946 @p945) :args ((=> @t623 @t622))) % 68.17/68.38 (assume-push @p1032 @t623) % 68.17/68.38 (step @p949 :rule instantiate :premises (@p943) :args (@t207)) % 68.17/68.38 (step-pop @p1033 :rule scope :premises (@p949)) % 68.17/68.38 (step @p950 :rule process_scope :premises (@p1033) :args (@t622)) % 68.17/68.38 (step @p952 :rule eq_resolve :premises (@p950 @p947)) % 68.17/68.38 (step @p953 :rule implies_elim :premises (@p952)) % 68.17/68.38 (step @p954 :rule chain_m_resolution :premises (@p953 @p943) :args (@t624 @t212 (@list @t623))) % 68.17/68.38 (step @p955 :rule cnf_or_pos :args (@t624)) % 68.17/68.38 (step @p956 :rule reordering :premises (@p955) :args ((or @t203 @t364 @t621 (not @t624)))) % 68.17/68.38 (step @p957 :rule chain_m_resolution :premises (@p956 @p373 @p472 @p954) :args (@t621 @t370 (@list @t202 @t364 @t624))) % 68.17/68.38 (step @p958 :rule cnf_or_pos :args (@t627)) % 68.17/68.38 (step @p959 :rule reordering :premises (@p958) :args ((or @t626 @t625 (not @t627)))) % 68.17/68.38 (step @p960 :rule chain_m_resolution :premises (@p959 @p957 @p927) :args (@t625 @t338 (@list @t621 @t627))) % 68.17/68.38 (step @p961 :rule refl :args (@t628)) % 68.17/68.38 (step @p962 :rule refl :args (@t629)) % 68.17/68.38 (step @p963 :rule refl :args (@t342)) % 68.17/68.38 (step @p964 :rule bool-double-not-elim :args (@t485)) % 68.17/68.38 (step @p965 :rule refl :args (@t630)) % 68.17/68.38 (step @p966 :rule nary_cong :premises (@p965 @p964 @p963 @p962 @p961) :args ((or @t630 (not @t618) @t342 @t629 @t628))) % 68.17/68.38 (assume-push @p1034 @t625) % 68.17/68.38 (assume-push @p1035 @t384) % 68.17/68.38 (assume-push @p1036 @t341) % 68.17/68.38 (assume-push @p1037 @t360) % 68.17/68.38 (assume-push @p1038 @t618) % 68.17/68.38 (step @p449 :rule evaluate :args (@t367)) % 68.17/68.38 (step @p972 :rule true_intro :premises (@p1034)) % 68.17/68.38 (step @p973 :rule symm :premises (@p509)) % 68.17/68.38 (step @p974 :rule cong :premises (@p410) :args (@t357)) % 68.17/68.38 (step @p975 :rule trans :premises (@p974 @p973)) % 68.17/68.38 (step @p976 :rule refl :args (@t358)) % 68.17/68.38 (step @p977 :rule cong :premises (@p976 @p975) :args (@t359)) % 68.17/68.38 (step @p978 :rule trans :premises (@p1037 @p977)) % 68.17/68.38 (step @p979 :rule cong :premises (@p978) :args (@t485)) % 68.17/68.38 (step @p980 :rule false_intro :premises (@p1038)) % 68.17/68.38 (step @p981 :rule symm :premises (@p980)) % 68.17/68.38 (step @p982 :rule trans :premises (@p981 @p979 @p972)) % 68.17/68.38 (step @p983 false :rule eq_resolve :premises (@p982 @p449)) % 68.17/68.38 (step-pop @p1039 :rule scope :premises (@p983)) % 68.17/68.38 (step-pop @p1040 :rule scope :premises (@p1039)) % 68.17/68.38 (step-pop @p1041 :rule scope :premises (@p1040)) % 68.17/68.38 (step-pop @p1042 :rule scope :premises (@p1041)) % 68.17/68.38 (step-pop @p1043 :rule scope :premises (@p1042)) % 68.17/68.38 (step @p984 :rule process_scope :premises (@p1043) :args (false)) % 68.17/68.38 (assume-push @p1044 @t360) % 68.17/68.38 (assume-push @p1045 @t618) % 68.17/68.38 (assume-push @p1046 @t341) % 68.17/68.38 (assume-push @p1047 @t384) % 68.17/68.38 (assume-push @p1048 @t625) % 68.17/68.38 (step @p995 :rule and_intro :premises (@p1048 @p509 @p410 @p1044 @p1045)) % 68.17/68.38 (step-pop @p1049 :rule scope :premises (@p995)) % 68.17/68.38 (step-pop @p1050 :rule scope :premises (@p1049)) % 68.17/68.38 (step-pop @p1051 :rule scope :premises (@p1050)) % 68.17/68.38 (step-pop @p1052 :rule scope :premises (@p1051)) % 68.17/68.38 (step-pop @p1053 :rule scope :premises (@p1052)) % 68.17/68.38 (step @p996 :rule process_scope :premises (@p1053) :args (@t631)) % 68.17/68.38 (step @p1002 :rule implies_elim :premises (@p996)) % 68.17/68.38 (step @p1003 :rule resolution :premises (@p1002 @p984) :args (true @t631)) % 68.17/68.38 (step @p1004 :rule not_and :premises (@p1003)) % 68.17/68.38 (step @p1005 :rule eq_resolve :premises (@p1004 @p966)) % 68.17/68.38 (step @p1006 :rule reordering :premises (@p1005) :args ((or @t485 @t630 @t342 @t629 @t628))) % 68.17/68.38 (step @p1007 false :rule chain_m_resolution :premises (@p1006 @p960 @p923 @p509 @p475 @p410) :args (false (@list false true false false false) (@list @t625 @t485 @t384 @t360 @t341))) % 68.17/68.38 ) % 68.17/68.38 % SZS output end Proof % 68.17/68.39 % cvc5 exiting %------------------------------------------------------------------------------