%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC160+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 : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:16 AM UTC 2026 % Result : Theorem 233.97s 234.19s % Output : Proof 233.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC160+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 % 0.15/0.34 % Computer : n017.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:17:01 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 233.97/234.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 233.97/234.19 --- Run --no-e-matching --full-saturate-quant at 6... % 233.97/234.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 233.97/234.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 233.97/234.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 233.97/234.19 --- Run --trigger-sel=max --full-saturate-quant at 15... % 233.97/234.19 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 233.97/234.19 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 233.97/234.19 --- Run --prenex-quant=none --full-saturate-quant at 30... % 233.97/234.19 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 233.97/234.19 --- Run --relevant-triggers --full-saturate-quant at 30... % 233.97/234.19 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 233.97/234.19 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 233.97/234.19 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 233.97/234.19 % SZS status Theorem % 233.97/234.19 % SZS output start Proof % 233.97/234.19 ( % 233.97/234.19 (declare-sort $$unsorted 0) % 233.97/234.19 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 233.97/234.19 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 233.97/234.19 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 233.97/234.19 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 233.97/234.19 (declare-const tptp.nil $$unsorted) % 233.97/234.19 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.ssList (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 233.97/234.19 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 233.97/234.19 (define @t1 () (@var "V" $$unsorted)) % 233.97/234.19 (define @t2 () (@var "U" $$unsorted)) % 233.97/234.19 (define @t3 () (= @t2 @t1)) % 233.97/234.19 (define @t4 () (not @t3)) % 233.97/234.19 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 233.97/234.19 (define @t6 () (tptp.ssItem @t1)) % 233.97/234.19 (define @t7 () (@list @t1)) % 233.97/234.19 (define @t8 () (tptp.ssItem @t2)) % 233.97/234.19 (define @t9 () (@list @t2)) % 233.97/234.19 (define @t10 () (@var "X" $$unsorted)) % 233.97/234.19 (define @t11 () (tptp.cons @t1 @t10)) % 233.97/234.19 (define @t12 () (@var "W" $$unsorted)) % 233.97/234.19 (define @t13 () (tptp.ssList @t10)) % 233.97/234.19 (define @t14 () (@list @t10)) % 233.97/234.19 (define @t15 () (tptp.ssList @t12)) % 233.97/234.19 (define @t16 () (@list @t12)) % 233.97/234.19 (define @t17 () (tptp.ssList @t2)) % 233.97/234.19 (define @t18 () (tptp.cons @t1 tptp.nil)) % 233.97/234.19 (define @t19 () (tptp.app @t1 @t12)) % 233.97/234.19 (define @t20 () (tptp.frontsegP @t2 @t1)) % 233.97/234.19 (define @t21 () (tptp.ssList @t1)) % 233.97/234.19 (define @t22 () (tptp.app @t12 @t1)) % 233.97/234.19 (define @t23 () (tptp.rearsegP @t2 @t1)) % 233.97/234.19 (define @t24 () (tptp.segmentP @t2 @t1)) % 233.97/234.19 (define @t25 () (tptp.leq @t12 @t1)) % 233.97/234.19 (define @t26 () (tptp.leq @t1 @t12)) % 233.97/234.19 (define @t27 () (@var "Z" $$unsorted)) % 233.97/234.19 (define @t28 () (@var "Y" $$unsorted)) % 233.97/234.19 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 233.97/234.19 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 233.97/234.19 (define @t31 () (= @t30 @t2)) % 233.97/234.19 (define @t32 () (tptp.ssList @t27)) % 233.97/234.19 (define @t33 () (@list @t27)) % 233.97/234.19 (define @t34 () (tptp.ssList @t28)) % 233.97/234.19 (define @t35 () (@list @t28)) % 233.97/234.19 (define @t36 () (tptp.ssItem @t12)) % 233.97/234.19 (define @t37 () (tptp.lt @t1 @t12)) % 233.97/234.19 (define @t38 () (=> @t31 @t37)) % 233.97/234.19 (define @t39 () (=> @t32 @t38)) % 233.97/234.19 (define @t40 () (forall @t33 @t39)) % 233.97/234.19 (define @t41 () (=> @t34 @t40)) % 233.97/234.19 (define @t42 () (forall @t35 @t41)) % 233.97/234.19 (define @t43 () (=> @t13 @t42)) % 233.97/234.19 (define @t44 () (forall @t14 @t43)) % 233.97/234.19 (define @t45 () (=> @t36 @t44)) % 233.97/234.19 (define @t46 () (forall @t16 @t45)) % 233.97/234.19 (define @t47 () (=> @t6 @t46)) % 233.97/234.19 (define @t48 () (forall @t7 @t47)) % 233.97/234.19 (define @t49 () (tptp.strictorderedP @t2)) % 233.97/234.19 (define @t50 () (= @t49 @t48)) % 233.97/234.19 (define @t51 () (=> @t17 @t50)) % 233.97/234.19 (define @t52 () (forall @t9 @t51)) % 233.97/234.19 (define @t53 () (= @t1 @t12)) % 233.97/234.19 (define @t54 () (tptp.cons @t1 @t2)) % 233.97/234.19 (define @t55 () (tptp.ssList @t54)) % 233.97/234.19 (define @t56 () (forall @t7 (=> @t6 @t55))) % 233.97/234.19 (define @t57 () (=> @t17 @t56)) % 233.97/234.19 (define @t58 () (forall @t9 @t57)) % 233.97/234.19 (define @t59 () (tptp.ssList tptp.nil)) % 233.97/234.19 (define @t60 () (= @t1 @t2)) % 233.97/234.19 (define @t61 () (tptp.cons @t12 @t1)) % 233.97/234.19 (define @t62 () (= tptp.nil @t2)) % 233.97/234.19 (define @t63 () (tptp.hd @t2)) % 233.97/234.19 (define @t64 () (not @t62)) % 233.97/234.19 (define @t65 () (tptp.tl @t2)) % 233.97/234.19 (define @t66 () (tptp.app @t2 @t1)) % 233.97/234.19 (define @t67 () (tptp.ssList @t66)) % 233.97/234.19 (define @t68 () (forall @t7 (=> @t21 @t67))) % 233.97/234.19 (define @t69 () (=> @t17 @t68)) % 233.97/234.19 (define @t70 () (forall @t9 @t69)) % 233.97/234.19 (define @t71 () (tptp.app @t1 @t2)) % 233.97/234.19 (define @t72 () (= (tptp.cons @t12 @t71) (tptp.app @t61 @t2))) % 233.97/234.19 (define @t73 () (forall @t16 (=> @t36 @t72))) % 233.97/234.19 (define @t74 () (=> @t21 @t73)) % 233.97/234.19 (define @t75 () (forall @t7 @t74)) % 233.97/234.19 (define @t76 () (=> @t17 @t75)) % 233.97/234.19 (define @t77 () (forall @t9 @t76)) % 233.97/234.19 (define @t78 () (tptp.app tptp.nil @t2)) % 233.97/234.19 (define @t79 () (=> @t17 (= @t78 @t2))) % 233.97/234.19 (define @t80 () (forall @t9 @t79)) % 233.97/234.19 (define @t81 () (tptp.leq @t1 @t2)) % 233.97/234.19 (define @t82 () (tptp.leq @t2 @t1)) % 233.97/234.19 (define @t83 () (tptp.geq @t2 @t1)) % 233.97/234.19 (define @t84 () (tptp.lt @t1 @t2)) % 233.97/234.19 (define @t85 () (not @t84)) % 233.97/234.19 (define @t86 () (tptp.lt @t2 @t1)) % 233.97/234.19 (define @t87 () (=> @t86 @t85)) % 233.97/234.19 (define @t88 () (forall @t7 (=> @t6 @t87))) % 233.97/234.19 (define @t89 () (=> @t8 @t88)) % 233.97/234.19 (define @t90 () (forall @t9 @t89)) % 233.97/234.19 (define @t91 () (tptp.lt @t2 @t12)) % 233.97/234.19 (define @t92 () (tptp.gt @t2 @t1)) % 233.97/234.19 (define @t93 () (tptp.memberP @t12 @t2)) % 233.97/234.19 (define @t94 () (tptp.app @t12 @t2)) % 233.97/234.19 (define @t95 () (tptp.cons @t2 tptp.nil)) % 233.97/234.19 (define @t96 () (tptp.hd @t1)) % 233.97/234.19 (define @t97 () (= tptp.nil @t1)) % 233.97/234.19 (define @t98 () (not @t97)) % 233.97/234.19 (define @t99 () (tptp.cons @t2 @t1)) % 233.97/234.19 (define @t100 () (= @t12 @t2)) % 233.97/234.19 (define @t101 () (= (tptp.app @t66 @t12) (tptp.app @t2 @t19))) % 233.97/234.19 (define @t102 () (forall @t16 (=> @t15 @t101))) % 233.97/234.19 (define @t103 () (=> @t21 @t102)) % 233.97/234.19 (define @t104 () (forall @t7 @t103)) % 233.97/234.19 (define @t105 () (=> @t17 @t104)) % 233.97/234.19 (define @t106 () (forall @t9 @t105)) % 233.97/234.19 (define @t107 () (or @t3 @t86)) % 233.97/234.19 (define @t108 () (=> @t82 @t107)) % 233.97/234.19 (define @t109 () (forall @t7 (=> @t6 @t108))) % 233.97/234.19 (define @t110 () (=> @t8 @t109)) % 233.97/234.19 (define @t111 () (forall @t9 @t110)) % 233.97/234.19 (define @t112 () (= @t86 (and @t4 @t82))) % 233.97/234.19 (define @t113 () (forall @t7 (=> @t6 @t112))) % 233.97/234.19 (define @t114 () (=> @t8 @t113)) % 233.97/234.19 (define @t115 () (forall @t9 @t114)) % 233.97/234.19 (define @t116 () (not (= tptp.nil @t10))) % 233.97/234.19 (define @t117 () (and @t116 (= tptp.nil @t12))) % 233.97/234.19 (define @t118 () (@var "X5" $$unsorted)) % 233.97/234.19 (define @t119 () (@var "X4" $$unsorted)) % 233.97/234.19 (define @t120 () (tptp.leq @t119 @t118)) % 233.97/234.19 (define @t121 () (@var "X9" $$unsorted)) % 233.97/234.19 (define @t122 () (and (tptp.leq @t119 @t121) (tptp.leq @t121 @t118))) % 233.97/234.19 (define @t123 () (@var "X7" $$unsorted)) % 233.97/234.19 (define @t124 () (not (tptp.memberP @t123 @t121))) % 233.97/234.19 (define @t125 () (or @t124 @t122)) % 233.97/234.19 (define @t126 () (tptp.ssItem @t121)) % 233.97/234.19 (define @t127 () (@list @t121)) % 233.97/234.19 (define @t128 () (forall @t127 (=> @t126 @t125))) % 233.97/234.19 (define @t129 () (and @t128 @t120)) % 233.97/234.19 (define @t130 () (not (tptp.leq @t118 @t119))) % 233.97/234.19 (define @t131 () (@var "X8" $$unsorted)) % 233.97/234.19 (define @t132 () (tptp.cons @t118 tptp.nil)) % 233.97/234.19 (define @t133 () (tptp.cons @t119 tptp.nil)) % 233.97/234.19 (define @t134 () (@var "X6" $$unsorted)) % 233.97/234.19 (define @t135 () (tptp.app @t134 @t133)) % 233.97/234.19 (define @t136 () (tptp.app (tptp.app @t135 @t123) @t132)) % 233.97/234.19 (define @t137 () (tptp.app @t136 @t131)) % 233.97/234.19 (define @t138 () (not (= @t137 @t2))) % 233.97/234.19 (define @t139 () (or @t138 @t130 @t129)) % 233.97/234.19 (define @t140 () (tptp.ssList @t131)) % 233.97/234.19 (define @t141 () (=> @t140 @t139)) % 233.97/234.19 (define @t142 () (@list @t131)) % 233.97/234.19 (define @t143 () (forall @t142 @t141)) % 233.97/234.19 (define @t144 () (tptp.ssList @t123)) % 233.97/234.19 (define @t145 () (=> @t144 @t143)) % 233.97/234.19 (define @t146 () (@list @t123)) % 233.97/234.19 (define @t147 () (forall @t146 @t145)) % 233.97/234.19 (define @t148 () (tptp.ssList @t134)) % 233.97/234.19 (define @t149 () (=> @t148 @t147)) % 233.97/234.19 (define @t150 () (@list @t134)) % 233.97/234.19 (define @t151 () (forall @t150 @t149)) % 233.97/234.19 (define @t152 () (tptp.ssItem @t118)) % 233.97/234.19 (define @t153 () (=> @t152 @t151)) % 233.97/234.19 (define @t154 () (@list @t118)) % 233.97/234.19 (define @t155 () (forall @t154 @t153)) % 233.97/234.19 (define @t156 () (tptp.ssItem @t119)) % 233.97/234.19 (define @t157 () (=> @t156 @t155)) % 233.97/234.19 (define @t158 () (@list @t119)) % 233.97/234.19 (define @t159 () (forall @t158 @t157)) % 233.97/234.19 (define @t160 () (@var "X2" $$unsorted)) % 233.97/234.19 (define @t161 () (tptp.lt @t160 @t27)) % 233.97/234.19 (define @t162 () (tptp.cons @t160 tptp.nil)) % 233.97/234.19 (define @t163 () (@var "X3" $$unsorted)) % 233.97/234.19 (define @t164 () (tptp.app @t163 @t162)) % 233.97/234.19 (define @t165 () (tptp.ssList @t163)) % 233.97/234.19 (define @t166 () (and @t165 (= @t164 @t12) @t161)) % 233.97/234.19 (define @t167 () (@list @t163)) % 233.97/234.19 (define @t168 () (exists @t167 @t166)) % 233.97/234.19 (define @t169 () (tptp.ssItem @t160)) % 233.97/234.19 (define @t170 () (and @t169 @t168)) % 233.97/234.19 (define @t171 () (@list @t160)) % 233.97/234.19 (define @t172 () (exists @t171 @t170)) % 233.97/234.19 (define @t173 () (@var "X1" $$unsorted)) % 233.97/234.19 (define @t174 () (tptp.cons @t27 tptp.nil)) % 233.97/234.19 (define @t175 () (tptp.app @t174 @t173)) % 233.97/234.19 (define @t176 () (tptp.ssList @t173)) % 233.97/234.19 (define @t177 () (and @t176 (= @t175 @t28) @t172)) % 233.97/234.19 (define @t178 () (@list @t173)) % 233.97/234.19 (define @t179 () (exists @t178 @t177)) % 233.97/234.19 (define @t180 () (tptp.ssItem @t27)) % 233.97/234.19 (define @t181 () (and @t180 @t179)) % 233.97/234.19 (define @t182 () (exists @t33 @t181)) % 233.97/234.19 (define @t183 () (not (tptp.strictorderedP @t12))) % 233.97/234.19 (define @t184 () (tptp.app @t12 @t28)) % 233.97/234.19 (define @t185 () (not (= @t184 @t10))) % 233.97/234.19 (define @t186 () (or @t185 @t183 @t182)) % 233.97/234.19 (define @t187 () (=> @t34 @t186)) % 233.97/234.19 (define @t188 () (forall @t35 @t187)) % 233.97/234.19 (define @t189 () (not (= @t2 @t12))) % 233.97/234.19 (define @t190 () (not (= @t1 @t10))) % 233.97/234.19 (define @t191 () (or @t190 @t189 @t188 @t159 @t117)) % 233.97/234.19 (define @t192 () (=> @t13 @t191)) % 233.97/234.19 (define @t193 () (forall @t14 @t192)) % 233.97/234.19 (define @t194 () (=> @t15 @t193)) % 233.97/234.19 (define @t195 () (forall @t16 @t194)) % 233.97/234.19 (define @t196 () (=> @t21 @t195)) % 233.97/234.19 (define @t197 () (forall @t7 @t196)) % 233.97/234.19 (define @t198 () (=> @t17 @t197)) % 233.97/234.19 (define @t199 () (forall @t9 @t198)) % 233.97/234.19 (define @t200 () (not @t199)) % 233.97/234.19 (define @t201 () (@var "BOUND_VARIABLE_10906" $$unsorted)) % 233.97/234.19 (define @t202 () (= (tptp.lt @t2 @t201) (and (not (= @t2 @t201)) (tptp.leq @t2 @t201)))) % 233.97/234.19 (define @t203 () (not (tptp.ssItem @t201))) % 233.97/234.19 (define @t204 () (not @t8)) % 233.97/234.19 (define @t205 () (or @t203 @t202)) % 233.97/234.19 (define @t206 () (or @t204 @t205)) % 233.97/234.19 (define @t207 () (forall (@list @t2 @t201) @t206)) % 233.97/234.19 (define @t208 () (@list @t201)) % 233.97/234.19 (define @t209 () (forall @t208 @t206)) % 233.97/234.19 (define @t210 () (forall @t208 @t205)) % 233.97/234.19 (define @t211 () (@list @t1)) % 233.97/234.19 (define @t212 () (or @t204 @t210)) % 233.97/234.19 (define @t213 () (not @t6)) % 233.97/234.19 (define @t214 () (forall @t7 (or @t213 @t112))) % 233.97/234.19 (define @t215 () (@var "BOUND_VARIABLE_11457" $$unsorted)) % 233.97/234.19 (define @t216 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 233.97/234.19 (define @t217 () (tptp.app @t174 @t216)) % 233.97/234.19 (define @t218 () (not (= @t217 @t215))) % 233.97/234.19 (define @t219 () (not (tptp.ssList @t216))) % 233.97/234.19 (define @t220 () (@var "BOUND_VARIABLE_11424" $$unsorted)) % 233.97/234.19 (define @t221 () (@var "BOUND_VARIABLE_11416" $$unsorted)) % 233.97/234.19 (define @t222 () (@var "BOUND_VARIABLE_11420" $$unsorted)) % 233.97/234.19 (define @t223 () (@var "BOUND_VARIABLE_11414" $$unsorted)) % 233.97/234.19 (define @t224 () (@var "BOUND_VARIABLE_11418" $$unsorted)) % 233.97/234.19 (define @t225 () (tptp.app (tptp.app (tptp.app (tptp.app @t224 (tptp.cons @t223 tptp.nil)) @t222) (tptp.cons @t221 tptp.nil)) @t220)) % 233.97/234.19 (define @t226 () (@var "BOUND_VARIABLE_11057" $$unsorted)) % 233.97/234.19 (define @t227 () (@var "BOUND_VARIABLE_11059" $$unsorted)) % 233.97/234.19 (define @t228 () (tptp.app @t227 (tptp.cons @t226 tptp.nil))) % 233.97/234.19 (define @t229 () (not (tptp.ssList @t227))) % 233.97/234.19 (define @t230 () (not (tptp.lt @t226 @t27))) % 233.97/234.19 (define @t231 () (not (tptp.ssItem @t226))) % 233.97/234.19 (define @t232 () (not @t180)) % 233.97/234.19 (define @t233 () (@list @t27 @t226 @t227 @t216)) % 233.97/234.19 (define @t234 () (not (forall @t233 (or @t232 @t231 @t230 @t229 (not (= @t228 @t225)) @t219 @t218)))) % 233.97/234.19 (define @t235 () (not (tptp.ssList @t215))) % 233.97/234.19 (define @t236 () (tptp.app @t225 @t215)) % 233.97/234.19 (define @t237 () (not (= tptp.nil @t236))) % 233.97/234.19 (define @t238 () (and @t237 (= tptp.nil @t225))) % 233.97/234.19 (define @t239 () (not (tptp.ssList @t236))) % 233.97/234.19 (define @t240 () (not (tptp.ssList @t220))) % 233.97/234.19 (define @t241 () (@var "BOUND_VARIABLE_11422" $$unsorted)) % 233.97/234.19 (define @t242 () (and (or (not (tptp.ssItem @t241)) (not (tptp.memberP @t222 @t241)) (and (tptp.leq @t223 @t241) (tptp.leq @t241 @t221))) (tptp.leq @t223 @t221))) % 233.97/234.19 (define @t243 () (not (tptp.ssList @t222))) % 233.97/234.19 (define @t244 () (not (tptp.ssList @t224))) % 233.97/234.19 (define @t245 () (not (tptp.leq @t221 @t223))) % 233.97/234.19 (define @t246 () (not (tptp.ssItem @t221))) % 233.97/234.19 (define @t247 () (not (tptp.ssItem @t223))) % 233.97/234.19 (define @t248 () (not (tptp.strictorderedP @t225))) % 233.97/234.19 (define @t249 () (not (tptp.ssList @t225))) % 233.97/234.19 (define @t250 () (or @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t240 @t239 @t238 @t235 @t234)) % 233.97/234.19 (define @t251 () (@list @t223 @t221 @t224 @t222 @t241 @t220 @t215)) % 233.97/234.19 (define @t252 () (forall @t251 @t250)) % 233.97/234.19 (define @t253 () (@quantifiers_skolemize @t252 1)) % 233.97/234.19 (define @t254 () (@quantifiers_skolemize @t252 0)) % 233.97/234.19 (define @t255 () (not (= @t225 @t228))) % 233.97/234.19 (define @t256 () (or @t232 @t231 @t230 @t229 @t255 @t219 @t218)) % 233.97/234.19 (define @t257 () (forall @t233 @t256)) % 233.97/234.19 (define @t258 () (not @t257)) % 233.97/234.19 (define @t259 () (and @t237 (= @t225 tptp.nil))) % 233.97/234.19 (define @t260 () (not (= @t225 @t225))) % 233.97/234.19 (define @t261 () (or @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t240 @t260 @t239 @t259 @t235 @t258)) % 233.97/234.19 (define @t262 () (not (= @t2 @t228))) % 233.97/234.19 (define @t263 () (not (forall @t233 (or @t232 @t231 @t230 @t229 @t262 @t219 @t218)))) % 233.97/234.19 (define @t264 () (= @t2 tptp.nil)) % 233.97/234.19 (define @t265 () (tptp.app @t2 @t215)) % 233.97/234.19 (define @t266 () (and (not (= tptp.nil @t265)) @t264)) % 233.97/234.19 (define @t267 () (not (tptp.ssList @t265))) % 233.97/234.19 (define @t268 () (not (= @t2 @t225))) % 233.97/234.19 (define @t269 () (not @t49)) % 233.97/234.19 (define @t270 () (not @t17)) % 233.97/234.19 (define @t271 () (or @t268 @t270 @t269 @t247 @t246 @t245 @t244 @t243 @t242 @t240 @t268 @t267 @t266 @t235 @t263)) % 233.97/234.19 (define @t272 () (or @t270 @t269 @t247 @t246 @t245 @t244 @t243 @t242 @t240 @t268 @t267 @t266 @t235 @t263)) % 233.97/234.19 (define @t273 () (forall @t9 @t272)) % 233.97/234.19 (define @t274 () (forall @t251 @t273)) % 233.97/234.19 (define @t275 () (forall (@list @t223 @t221 @t224 @t222 @t241 @t220 @t215 @t2) @t272)) % 233.97/234.19 (define @t276 () (@list @t2 @t223 @t221 @t224 @t222 @t241 @t220 @t215)) % 233.97/234.19 (define @t277 () (or @t267 @t266 @t235 @t263)) % 233.97/234.19 (define @t278 () (or @t247 @t246 @t245 @t244 @t243 @t242 @t240 @t268)) % 233.97/234.19 (define @t279 () (or @t270 @t278 @t269 @t277)) % 233.97/234.19 (define @t280 () (forall @t276 @t279)) % 233.97/234.19 (define @t281 () (forall @t251 @t279)) % 233.97/234.19 (define @t282 () (forall (@list @t215) @t277)) % 233.97/234.19 (define @t283 () (@var "BOUND_VARIABLE_11375" $$unsorted)) % 233.97/234.19 (define @t284 () (@list @t283)) % 233.97/234.19 (define @t285 () (forall (@list @t223 @t221 @t224 @t222 @t241 @t220) @t278)) % 233.97/234.19 (define @t286 () (@var "BOUND_VARIABLE_11234" $$unsorted)) % 233.97/234.19 (define @t287 () (@var "BOUND_VARIABLE_11232" $$unsorted)) % 233.97/234.19 (define @t288 () (@var "BOUND_VARIABLE_11230" $$unsorted)) % 233.97/234.19 (define @t289 () (@var "BOUND_VARIABLE_11228" $$unsorted)) % 233.97/234.19 (define @t290 () (@var "BOUND_VARIABLE_11226" $$unsorted)) % 233.97/234.19 (define @t291 () (or @t270 @t285 @t269 @t282)) % 233.97/234.19 (define @t292 () (not (forall @t233 (or @t232 @t231 @t230 @t229 @t262 @t219 (not (= @t217 @t283)))))) % 233.97/234.19 (define @t293 () (not (tptp.ssList @t283))) % 233.97/234.19 (define @t294 () (tptp.app @t2 @t283)) % 233.97/234.19 (define @t295 () (and (not (= tptp.nil @t294)) @t264)) % 233.97/234.19 (define @t296 () (not (tptp.ssList @t294))) % 233.97/234.19 (define @t297 () (or @t296 @t295 @t293 @t292)) % 233.97/234.19 (define @t298 () (@list @t283)) % 233.97/234.19 (define @t299 () (forall @t298 @t297)) % 233.97/234.19 (define @t300 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t289 @t133) @t288) (tptp.cons @t290 tptp.nil)) @t286)))) % 233.97/234.19 (define @t301 () (not (tptp.ssList @t286))) % 233.97/234.19 (define @t302 () (and (or (not (tptp.ssItem @t287)) (not (tptp.memberP @t288 @t287)) (and (tptp.leq @t119 @t287) (tptp.leq @t287 @t290))) (tptp.leq @t119 @t290))) % 233.97/234.19 (define @t303 () (not (tptp.ssList @t288))) % 233.97/234.19 (define @t304 () (not (tptp.ssList @t289))) % 233.97/234.19 (define @t305 () (not (tptp.leq @t290 @t119))) % 233.97/234.19 (define @t306 () (not (tptp.ssItem @t290))) % 233.97/234.19 (define @t307 () (not @t156)) % 233.97/234.19 (define @t308 () (or @t307 @t306 @t305 @t304 @t303 @t302 @t301 @t300)) % 233.97/234.19 (define @t309 () (@list @t119 @t290 @t289 @t288 @t287 @t286)) % 233.97/234.19 (define @t310 () (forall @t309 @t308)) % 233.97/234.19 (define @t311 () (or @t270 @t310 @t269 @t299)) % 233.97/234.19 (define @t312 () (or @t310 @t270 @t269 @t299)) % 233.97/234.19 (define @t313 () (not (= @t294 @t294))) % 233.97/234.19 (define @t314 () (not (= @t294 tptp.nil))) % 233.97/234.19 (define @t315 () (and @t314 @t264)) % 233.97/234.19 (define @t316 () (or @t296 @t315 @t293 @t313 @t292)) % 233.97/234.19 (define @t317 () (not (= @t1 @t294))) % 233.97/234.19 (define @t318 () (not (= @t1 tptp.nil))) % 233.97/234.19 (define @t319 () (and @t318 @t264)) % 233.97/234.19 (define @t320 () (not @t21)) % 233.97/234.19 (define @t321 () (or @t317 @t320 @t319 @t293 @t317 @t292)) % 233.97/234.19 (define @t322 () (or @t320 @t319 @t293 @t317 @t292)) % 233.97/234.19 (define @t323 () (forall @t7 @t322)) % 233.97/234.19 (define @t324 () (forall @t298 @t323)) % 233.97/234.19 (define @t325 () (forall (@list @t283 @t1) @t322)) % 233.97/234.19 (define @t326 () (@list @t1 @t283)) % 233.97/234.19 (define @t327 () (or @t293 @t317 @t292)) % 233.97/234.19 (define @t328 () (or @t320 @t319 @t327)) % 233.97/234.19 (define @t329 () (forall @t326 @t328)) % 233.97/234.19 (define @t330 () (forall @t298 @t328)) % 233.97/234.19 (define @t331 () (forall @t298 @t327)) % 233.97/234.19 (define @t332 () (@var "BOUND_VARIABLE_11327" $$unsorted)) % 233.97/234.19 (define @t333 () (@list @t332)) % 233.97/234.19 (define @t334 () (or @t320 @t319 @t331)) % 233.97/234.19 (define @t335 () (not (= @t217 @t332))) % 233.97/234.19 (define @t336 () (not (forall @t233 (or @t232 @t231 @t230 @t229 @t262 @t219 @t335)))) % 233.97/234.19 (define @t337 () (not (= @t1 (tptp.app @t2 @t332)))) % 233.97/234.19 (define @t338 () (not (tptp.ssList @t332))) % 233.97/234.19 (define @t339 () (or @t338 @t337 @t336)) % 233.97/234.19 (define @t340 () (@list @t332)) % 233.97/234.19 (define @t341 () (forall @t340 @t339)) % 233.97/234.19 (define @t342 () (or @t320 @t319 @t341)) % 233.97/234.19 (define @t343 () (forall @t7 @t342)) % 233.97/234.19 (define @t344 () (or @t310 @t270 @t269 @t343)) % 233.97/234.19 (define @t345 () (or @t310 @t270 @t269 @t342)) % 233.97/234.19 (define @t346 () (or @t320 @t310 @t270 @t269 @t319 @t341)) % 233.97/234.19 (define @t347 () (or @t310 @t320 @t270 @t269 @t319 @t341)) % 233.97/234.19 (define @t348 () (or @t270 @t269 @t319 @t341)) % 233.97/234.19 (define @t349 () (or @t270 @t269 @t319 @t339)) % 233.97/234.19 (define @t350 () (or @t270 @t269 @t319 @t338 @t337 @t336)) % 233.97/234.19 (define @t351 () (not (= @t2 @t2))) % 233.97/234.19 (define @t352 () (or @t270 @t351 @t269 @t319 @t338 @t337 @t336)) % 233.97/234.19 (define @t353 () (not (= @t12 @t228))) % 233.97/234.19 (define @t354 () (not (forall @t233 (or @t232 @t231 @t230 @t229 @t353 @t219 @t335)))) % 233.97/234.19 (define @t355 () (not (= @t1 (tptp.app @t12 @t332)))) % 233.97/234.19 (define @t356 () (= @t12 tptp.nil)) % 233.97/234.19 (define @t357 () (and @t318 @t356)) % 233.97/234.19 (define @t358 () (not @t15)) % 233.97/234.19 (define @t359 () (or @t189 @t358 @t189 @t183 @t357 @t338 @t355 @t354)) % 233.97/234.19 (define @t360 () (or @t358 @t189 @t183 @t357 @t338 @t355 @t354)) % 233.97/234.19 (define @t361 () (forall @t16 @t360)) % 233.97/234.19 (define @t362 () (forall @t340 @t361)) % 233.97/234.19 (define @t363 () (forall (@list @t332 @t12) @t360)) % 233.97/234.19 (define @t364 () (@list @t12 @t332)) % 233.97/234.19 (define @t365 () (or @t338 @t355 @t354)) % 233.97/234.19 (define @t366 () (or @t358 @t189 @t183 @t357 @t365)) % 233.97/234.19 (define @t367 () (forall @t364 @t366)) % 233.97/234.19 (define @t368 () (forall @t340 @t366)) % 233.97/234.19 (define @t369 () (forall @t340 @t365)) % 233.97/234.19 (define @t370 () (@var "BOUND_VARIABLE_11282" $$unsorted)) % 233.97/234.19 (define @t371 () (@list @t370)) % 233.97/234.19 (define @t372 () (or @t358 @t189 @t183 @t357 @t369)) % 233.97/234.19 (define @t373 () (not (forall @t233 (or @t232 @t231 @t230 @t229 @t353 @t219 (not (= @t217 @t370)))))) % 233.97/234.19 (define @t374 () (tptp.app @t12 @t370)) % 233.97/234.19 (define @t375 () (not (= @t1 @t374))) % 233.97/234.19 (define @t376 () (not (tptp.ssList @t370))) % 233.97/234.19 (define @t377 () (or @t376 @t375 @t373)) % 233.97/234.19 (define @t378 () (@list @t370)) % 233.97/234.19 (define @t379 () (forall @t378 @t377)) % 233.97/234.19 (define @t380 () (or @t358 @t189 @t183 @t357 @t379)) % 233.97/234.19 (define @t381 () (forall @t16 @t380)) % 233.97/234.19 (define @t382 () (or @t310 @t320 @t381)) % 233.97/234.19 (define @t383 () (or @t310 @t320 @t380)) % 233.97/234.19 (define @t384 () (or @t358 @t189 @t310 @t183 @t320 @t357 @t379)) % 233.97/234.19 (define @t385 () (or @t189 @t310 @t183 @t320 @t357 @t379)) % 233.97/234.19 (define @t386 () (or @t320 @t357 @t379)) % 233.97/234.19 (define @t387 () (or @t320 @t357 @t377)) % 233.97/234.19 (define @t388 () (or @t320 @t357 @t376 @t375 @t373)) % 233.97/234.19 (define @t389 () (not (= @t1 @t1))) % 233.97/234.19 (define @t390 () (or @t320 @t389 @t357 @t376 @t375 @t373)) % 233.97/234.19 (define @t391 () (not (= @t10 @t374))) % 233.97/234.19 (define @t392 () (and (not (= @t10 tptp.nil)) @t356)) % 233.97/234.19 (define @t393 () (not @t13)) % 233.97/234.19 (define @t394 () (or @t190 @t393 @t190 @t392 @t376 @t391 @t373)) % 233.97/234.19 (define @t395 () (or @t393 @t190 @t392 @t376 @t391 @t373)) % 233.97/234.19 (define @t396 () (forall @t14 @t395)) % 233.97/234.19 (define @t397 () (forall @t378 @t396)) % 233.97/234.19 (define @t398 () (forall (@list @t370 @t10) @t395)) % 233.97/234.19 (define @t399 () (@list @t10 @t370)) % 233.97/234.19 (define @t400 () (not (= @t370 @t217))) % 233.97/234.19 (define @t401 () (or @t232 @t231 @t230 @t229 @t353 @t219 @t400)) % 233.97/234.19 (define @t402 () (forall @t233 @t401)) % 233.97/234.19 (define @t403 () (not @t402)) % 233.97/234.19 (define @t404 () (or @t393 @t190 @t392 @t376 @t391 @t403)) % 233.97/234.19 (define @t405 () (or @t376 @t391 @t403)) % 233.97/234.19 (define @t406 () (or @t393 @t190 @t392 @t405)) % 233.97/234.19 (define @t407 () (forall @t399 @t406)) % 233.97/234.19 (define @t408 () (forall @t378 @t406)) % 233.97/234.19 (define @t409 () (forall @t378 @t405)) % 233.97/234.19 (define @t410 () (or @t393 @t190 @t392 @t409)) % 233.97/234.19 (define @t411 () (not (= @t28 @t217))) % 233.97/234.19 (define @t412 () (or @t232 @t231 @t230 @t229 @t353 @t219 @t411)) % 233.97/234.19 (define @t413 () (not (forall @t233 @t412))) % 233.97/234.19 (define @t414 () (not (= @t10 @t184))) % 233.97/234.19 (define @t415 () (not @t34)) % 233.97/234.19 (define @t416 () (or @t415 @t414 @t413)) % 233.97/234.19 (define @t417 () (forall @t35 @t416)) % 233.97/234.19 (define @t418 () (or @t393 @t190 @t392 @t417)) % 233.97/234.19 (define @t419 () (forall @t14 @t418)) % 233.97/234.19 (define @t420 () (or @t189 @t310 @t183 @t419)) % 233.97/234.19 (define @t421 () (or @t189 @t310 @t183 @t418)) % 233.97/234.19 (define @t422 () (or @t393 @t190 @t189 @t310 @t392 @t183 @t417)) % 233.97/234.19 (define @t423 () (or @t190 @t189 @t310 @t392 @t183 @t417)) % 233.97/234.19 (define @t424 () (or @t183 @t417)) % 233.97/234.19 (define @t425 () (or @t306 @t305 @t304 @t303 @t302 @t301 @t300)) % 233.97/234.19 (define @t426 () (or @t307 @t425)) % 233.97/234.19 (define @t427 () (forall @t309 @t426)) % 233.97/234.19 (define @t428 () (@list @t290 @t289 @t288 @t287 @t286)) % 233.97/234.19 (define @t429 () (forall @t428 @t426)) % 233.97/234.19 (define @t430 () (forall @t428 @t425)) % 233.97/234.19 (define @t431 () (@var "BOUND_VARIABLE_11192" $$unsorted)) % 233.97/234.19 (define @t432 () (@var "BOUND_VARIABLE_11190" $$unsorted)) % 233.97/234.19 (define @t433 () (@var "BOUND_VARIABLE_11188" $$unsorted)) % 233.97/234.19 (define @t434 () (@var "BOUND_VARIABLE_11186" $$unsorted)) % 233.97/234.19 (define @t435 () (or @t307 @t430)) % 233.97/234.19 (define @t436 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t434 @t133) @t433) @t132) @t431)))) % 233.97/234.19 (define @t437 () (not (tptp.ssList @t431))) % 233.97/234.19 (define @t438 () (and (or (not (tptp.ssItem @t432)) (not (tptp.memberP @t433 @t432)) (and (tptp.leq @t119 @t432) (tptp.leq @t432 @t118))) @t120)) % 233.97/234.19 (define @t439 () (not (tptp.ssList @t433))) % 233.97/234.19 (define @t440 () (not (tptp.ssList @t434))) % 233.97/234.19 (define @t441 () (not @t152)) % 233.97/234.19 (define @t442 () (or @t441 @t130 @t440 @t439 @t438 @t437 @t436)) % 233.97/234.19 (define @t443 () (@list @t118 @t434 @t433 @t432 @t431)) % 233.97/234.19 (define @t444 () (forall @t443 @t442)) % 233.97/234.19 (define @t445 () (or @t440 @t439 @t438 @t437 @t436)) % 233.97/234.19 (define @t446 () (or @t441 @t130 @t445)) % 233.97/234.19 (define @t447 () (forall @t443 @t446)) % 233.97/234.19 (define @t448 () (@list @t434 @t433 @t432 @t431)) % 233.97/234.19 (define @t449 () (forall @t448 @t446)) % 233.97/234.19 (define @t450 () (forall @t448 @t445)) % 233.97/234.19 (define @t451 () (@var "BOUND_VARIABLE_11154" $$unsorted)) % 233.97/234.19 (define @t452 () (@var "BOUND_VARIABLE_11152" $$unsorted)) % 233.97/234.19 (define @t453 () (@var "BOUND_VARIABLE_11150" $$unsorted)) % 233.97/234.19 (define @t454 () (or @t441 @t130 @t450)) % 233.97/234.19 (define @t455 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t135 @t453) @t132) @t451)))) % 233.97/234.19 (define @t456 () (not (tptp.ssList @t451))) % 233.97/234.19 (define @t457 () (and (or (not (tptp.ssItem @t452)) (not (tptp.memberP @t453 @t452)) (and (tptp.leq @t119 @t452) (tptp.leq @t452 @t118))) @t120)) % 233.97/234.19 (define @t458 () (not (tptp.ssList @t453))) % 233.97/234.19 (define @t459 () (not @t148)) % 233.97/234.19 (define @t460 () (or @t459 @t458 @t457 @t456 @t455)) % 233.97/234.19 (define @t461 () (@list @t134 @t453 @t452 @t451)) % 233.97/234.19 (define @t462 () (forall @t461 @t460)) % 233.97/234.19 (define @t463 () (or @t441 @t130 @t462)) % 233.97/234.19 (define @t464 () (or @t130 @t462)) % 233.97/234.19 (define @t465 () (or @t458 @t457 @t456 @t455)) % 233.97/234.19 (define @t466 () (or @t459 @t465)) % 233.97/234.19 (define @t467 () (forall @t461 @t466)) % 233.97/234.19 (define @t468 () (@list @t453 @t452 @t451)) % 233.97/234.19 (define @t469 () (forall @t468 @t466)) % 233.97/234.19 (define @t470 () (forall @t468 @t465)) % 233.97/234.19 (define @t471 () (@var "BOUND_VARIABLE_11128" $$unsorted)) % 233.97/234.19 (define @t472 () (@var "BOUND_VARIABLE_11117" $$unsorted)) % 233.97/234.19 (define @t473 () (or @t459 @t470)) % 233.97/234.19 (define @t474 () (not (= @t2 (tptp.app @t136 @t471)))) % 233.97/234.19 (define @t475 () (not (tptp.ssList @t471))) % 233.97/234.19 (define @t476 () (or (not (tptp.ssItem @t472)) (not (tptp.memberP @t123 @t472)) (and (tptp.leq @t119 @t472) (tptp.leq @t472 @t118)))) % 233.97/234.19 (define @t477 () (and @t476 @t120)) % 233.97/234.19 (define @t478 () (not @t144)) % 233.97/234.19 (define @t479 () (or @t478 @t477 @t475 @t474)) % 233.97/234.19 (define @t480 () (@list @t123 @t472 @t471)) % 233.97/234.19 (define @t481 () (forall @t480 @t479)) % 233.97/234.19 (define @t482 () (or @t459 @t481)) % 233.97/234.19 (define @t483 () (forall @t150 @t482)) % 233.97/234.19 (define @t484 () (or @t130 @t483)) % 233.97/234.19 (define @t485 () (or @t130 @t482)) % 233.97/234.19 (define @t486 () (or @t459 @t130 @t481)) % 233.97/234.19 (define @t487 () (or @t130 @t481)) % 233.97/234.19 (define @t488 () (or @t475 @t474)) % 233.97/234.19 (define @t489 () (or @t478 @t477 @t488)) % 233.97/234.19 (define @t490 () (forall @t480 @t489)) % 233.97/234.19 (define @t491 () (forall (@list @t472 @t471) @t489)) % 233.97/234.19 (define @t492 () (forall (@list @t471) @t488)) % 233.97/234.19 (define @t493 () (@list @t472)) % 233.97/234.19 (define @t494 () (forall @t493 @t120)) % 233.97/234.19 (define @t495 () (forall @t493 @t476)) % 233.97/234.19 (define @t496 () (and @t495 @t494)) % 233.97/234.19 (define @t497 () (forall @t493 @t477)) % 233.97/234.19 (define @t498 () (or @t478 @t497 @t492)) % 233.97/234.19 (define @t499 () (not (= @t2 @t137))) % 233.97/234.19 (define @t500 () (not @t140)) % 233.97/234.19 (define @t501 () (or @t500 @t499)) % 233.97/234.19 (define @t502 () (forall @t142 @t501)) % 233.97/234.19 (define @t503 () (not @t126)) % 233.97/234.19 (define @t504 () (or @t503 @t124 @t122)) % 233.97/234.19 (define @t505 () (and (forall @t127 @t504) @t120)) % 233.97/234.19 (define @t506 () (or @t478 @t505 @t502)) % 233.97/234.19 (define @t507 () (forall @t146 @t506)) % 233.97/234.19 (define @t508 () (or @t130 @t507)) % 233.97/234.19 (define @t509 () (or @t130 @t506)) % 233.97/234.19 (define @t510 () (or @t478 @t130 @t505 @t502)) % 233.97/234.19 (define @t511 () (or @t130 @t505 @t502)) % 233.97/234.19 (define @t512 () (or @t130 @t505 @t501)) % 233.97/234.19 (define @t513 () (or @t500 @t499 @t130 @t505)) % 233.97/234.19 (define @t514 () (or @t499 @t130 @t505)) % 233.97/234.19 (define @t515 () (or @t183 @t416)) % 233.97/234.19 (define @t516 () (or @t415 @t414 @t183 @t413)) % 233.97/234.19 (define @t517 () (or @t414 @t183 @t413)) % 233.97/234.19 (define @t518 () (or @t219 @t411)) % 233.97/234.19 (define @t519 () (or @t231 @t230 @t229 @t353)) % 233.97/234.19 (define @t520 () (or @t232 @t519 @t518)) % 233.97/234.19 (define @t521 () (forall @t233 @t520)) % 233.97/234.19 (define @t522 () (forall (@list @t226 @t227 @t216) @t520)) % 233.97/234.19 (define @t523 () (forall (@list @t216) @t518)) % 233.97/234.19 (define @t524 () (forall (@list @t226 @t227) @t519)) % 233.97/234.19 (define @t525 () (@var "BOUND_VARIABLE_11022" $$unsorted)) % 233.97/234.19 (define @t526 () (or @t232 @t524 @t523)) % 233.97/234.19 (define @t527 () (= @t28 @t175)) % 233.97/234.19 (define @t528 () (not @t527)) % 233.97/234.19 (define @t529 () (not @t176)) % 233.97/234.19 (define @t530 () (or @t529 @t528)) % 233.97/234.19 (define @t531 () (forall @t178 @t530)) % 233.97/234.19 (define @t532 () (not (= @t12 (tptp.app @t525 @t162)))) % 233.97/234.19 (define @t533 () (not (tptp.ssList @t525))) % 233.97/234.19 (define @t534 () (not @t161)) % 233.97/234.19 (define @t535 () (not @t169)) % 233.97/234.19 (define @t536 () (or @t535 @t534 @t533 @t532)) % 233.97/234.19 (define @t537 () (@list @t160 @t525)) % 233.97/234.19 (define @t538 () (forall @t537 @t536)) % 233.97/234.19 (define @t539 () (or @t232 @t538 @t531)) % 233.97/234.19 (define @t540 () (or @t538 @t531)) % 233.97/234.19 (define @t541 () (not @t540)) % 233.97/234.19 (define @t542 () (and @t180 @t541)) % 233.97/234.19 (define @t543 () (forall @t33 (not @t542))) % 233.97/234.19 (define @t544 () (not @t543)) % 233.97/234.19 (define @t545 () (or @t538 @t530)) % 233.97/234.19 (define @t546 () (or @t529 @t528 @t538)) % 233.97/234.19 (define @t547 () (not @t538)) % 233.97/234.19 (define @t548 () (not @t547)) % 233.97/234.19 (define @t549 () (or @t529 @t528 @t548)) % 233.97/234.19 (define @t550 () (and @t176 @t527 @t547)) % 233.97/234.19 (define @t551 () (forall @t178 (not @t550))) % 233.97/234.19 (define @t552 () (not @t551)) % 233.97/234.19 (define @t553 () (or @t533 @t532)) % 233.97/234.19 (define @t554 () (or @t535 @t534 @t553)) % 233.97/234.19 (define @t555 () (forall @t537 @t554)) % 233.97/234.19 (define @t556 () (@list @t525)) % 233.97/234.19 (define @t557 () (forall @t556 @t554)) % 233.97/234.19 (define @t558 () (forall @t556 @t553)) % 233.97/234.19 (define @t559 () (or @t535 @t534 @t558)) % 233.97/234.19 (define @t560 () (= @t12 @t164)) % 233.97/234.19 (define @t561 () (not @t560)) % 233.97/234.19 (define @t562 () (not @t165)) % 233.97/234.19 (define @t563 () (or @t562 @t561)) % 233.97/234.19 (define @t564 () (forall @t167 @t563)) % 233.97/234.19 (define @t565 () (or @t535 @t534 @t564)) % 233.97/234.19 (define @t566 () (or @t534 @t564)) % 233.97/234.19 (define @t567 () (not @t566)) % 233.97/234.19 (define @t568 () (and @t169 @t567)) % 233.97/234.19 (define @t569 () (forall @t171 (not @t568))) % 233.97/234.19 (define @t570 () (not @t569)) % 233.97/234.19 (define @t571 () (or @t534 @t563)) % 233.97/234.19 (define @t572 () (or @t562 @t561 @t534)) % 233.97/234.19 (define @t573 () (and @t165 @t560 @t161)) % 233.97/234.19 (define @t574 () (forall @t167 (not @t573))) % 233.97/234.19 (define @t575 () (not @t574)) % 233.97/234.19 (define @t576 () (tptp.ssItem @t253)) % 233.97/234.19 (define @t577 () (@quantifiers_skolemize @t252 6)) % 233.97/234.19 (define @t578 () (@quantifiers_skolemize @t252 5)) % 233.97/234.19 (define @t579 () (tptp.cons @t253 tptp.nil)) % 233.97/234.19 (define @t580 () (@quantifiers_skolemize @t252 3)) % 233.97/234.19 (define @t581 () (tptp.cons @t254 tptp.nil)) % 233.97/234.19 (define @t582 () (@quantifiers_skolemize @t252 2)) % 233.97/234.19 (define @t583 () (tptp.app @t582 @t581)) % 233.97/234.19 (define @t584 () (tptp.app @t583 @t580)) % 233.97/234.19 (define @t585 () (tptp.app (tptp.app @t584 @t579) @t578)) % 233.97/234.19 (define @t586 () (tptp.app @t585 @t577)) % 233.97/234.19 (define @t587 () (tptp.ssList @t578)) % 233.97/234.19 (define @t588 () (not @t587)) % 233.97/234.19 (define @t589 () (tptp.leq @t254 @t253)) % 233.97/234.19 (define @t590 () (@quantifiers_skolemize @t252 4)) % 233.97/234.19 (define @t591 () (tptp.ssList @t580)) % 233.97/234.19 (define @t592 () (not @t591)) % 233.97/234.19 (define @t593 () (tptp.ssList @t582)) % 233.97/234.19 (define @t594 () (not @t593)) % 233.97/234.19 (define @t595 () (tptp.leq @t253 @t254)) % 233.97/234.19 (define @t596 () (not @t595)) % 233.97/234.19 (define @t597 () (not @t576)) % 233.97/234.19 (define @t598 () (tptp.ssItem @t254)) % 233.97/234.19 (define @t599 () (not @t598)) % 233.97/234.19 (define @t600 () (tptp.strictorderedP @t585)) % 233.97/234.19 (define @t601 () (not @t600)) % 233.97/234.19 (define @t602 () (tptp.ssList @t585)) % 233.97/234.19 (define @t603 () (not @t602)) % 233.97/234.19 (define @t604 () (or @t603 @t601 @t599 @t597 @t596 @t594 @t592 (and (or (not (tptp.ssItem @t590)) (not (tptp.memberP @t580 @t590)) (and (tptp.leq @t254 @t590) (tptp.leq @t590 @t253))) @t589) @t588 (not (tptp.ssList @t586)) (and (not (= tptp.nil @t586)) (= tptp.nil @t585)) (not (tptp.ssList @t577)) (not (forall @t233 (or @t232 @t231 @t230 @t229 (not (= @t228 @t585)) @t219 (not (= @t217 @t577))))))) % 233.97/234.19 (define @t605 () (@list true)) % 233.97/234.19 (define @t606 () (@list @t604)) % 233.97/234.19 (define @t607 () (= @t254 @t253)) % 233.97/234.19 (define @t608 () (not @t607)) % 233.97/234.19 (define @t609 () (and @t608 @t589)) % 233.97/234.19 (define @t610 () (tptp.lt @t254 @t253)) % 233.97/234.19 (define @t611 () (= @t610 @t609)) % 233.97/234.19 (define @t612 () (or @t599 @t597 @t611)) % 233.97/234.19 (define @t613 () (@list false false false)) % 233.97/234.19 (define @t614 () (@var "BOUND_VARIABLE_8952" $$unsorted)) % 233.97/234.19 (define @t615 () (@var "BOUND_VARIABLE_8946" $$unsorted)) % 233.97/234.19 (define @t616 () (@var "BOUND_VARIABLE_8950" $$unsorted)) % 233.97/234.19 (define @t617 () (@var "BOUND_VARIABLE_8948" $$unsorted)) % 233.97/234.19 (define @t618 () (tptp.app (tptp.app @t617 (tptp.cons @t1 @t616)) (tptp.cons @t615 @t614))) % 233.97/234.19 (define @t619 () (not (= @t2 @t618))) % 233.97/234.19 (define @t620 () (not (tptp.ssList @t614))) % 233.97/234.19 (define @t621 () (not (tptp.ssList @t616))) % 233.97/234.19 (define @t622 () (not (tptp.ssList @t617))) % 233.97/234.19 (define @t623 () (tptp.lt @t1 @t615)) % 233.97/234.19 (define @t624 () (not (tptp.ssItem @t615))) % 233.97/234.19 (define @t625 () (or @t213 @t624 @t623 @t622 @t621 @t620 @t619)) % 233.97/234.19 (define @t626 () (@list @t1 @t615 @t617 @t616 @t614)) % 233.97/234.19 (define @t627 () (= @t49 (forall @t626 @t625))) % 233.97/234.19 (define @t628 () (or @t624 @t623 @t622 @t621 @t620 @t619)) % 233.97/234.19 (define @t629 () (or @t213 @t628)) % 233.97/234.19 (define @t630 () (forall @t626 @t629)) % 233.97/234.19 (define @t631 () (@list @t615 @t617 @t616 @t614)) % 233.97/234.19 (define @t632 () (forall @t631 @t629)) % 233.97/234.19 (define @t633 () (forall @t631 @t628)) % 233.97/234.19 (define @t634 () (@var "BOUND_VARIABLE_8922" $$unsorted)) % 233.97/234.19 (define @t635 () (@var "BOUND_VARIABLE_8920" $$unsorted)) % 233.97/234.19 (define @t636 () (@var "BOUND_VARIABLE_8918" $$unsorted)) % 233.97/234.19 (define @t637 () (or @t213 @t633)) % 233.97/234.19 (define @t638 () (not (= @t2 (tptp.app (tptp.app @t636 (tptp.cons @t1 @t635)) (tptp.cons @t12 @t634))))) % 233.97/234.19 (define @t639 () (not (tptp.ssList @t634))) % 233.97/234.19 (define @t640 () (not (tptp.ssList @t635))) % 233.97/234.19 (define @t641 () (not (tptp.ssList @t636))) % 233.97/234.19 (define @t642 () (not @t36)) % 233.97/234.19 (define @t643 () (or @t642 @t37 @t641 @t640 @t639 @t638)) % 233.97/234.19 (define @t644 () (@list @t12 @t636 @t635 @t634)) % 233.97/234.19 (define @t645 () (forall @t644 @t643)) % 233.97/234.19 (define @t646 () (or @t641 @t640 @t639 @t638)) % 233.97/234.19 (define @t647 () (or @t642 @t37 @t646)) % 233.97/234.19 (define @t648 () (forall @t644 @t647)) % 233.97/234.19 (define @t649 () (@list @t636 @t635 @t634)) % 233.97/234.19 (define @t650 () (forall @t649 @t647)) % 233.97/234.19 (define @t651 () (forall @t649 @t646)) % 233.97/234.19 (define @t652 () (@var "BOUND_VARIABLE_8545" $$unsorted)) % 233.97/234.19 (define @t653 () (@var "BOUND_VARIABLE_8543" $$unsorted)) % 233.97/234.19 (define @t654 () (or @t642 @t37 @t651)) % 233.97/234.19 (define @t655 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t653)) (tptp.cons @t12 @t652))))) % 233.97/234.19 (define @t656 () (not (tptp.ssList @t652))) % 233.97/234.19 (define @t657 () (not (tptp.ssList @t653))) % 233.97/234.19 (define @t658 () (or @t393 @t657 @t656 @t655)) % 233.97/234.19 (define @t659 () (@list @t10 @t653 @t652)) % 233.97/234.19 (define @t660 () (forall @t659 @t658)) % 233.97/234.19 (define @t661 () (or @t642 @t37 @t660)) % 233.97/234.19 (define @t662 () (or @t37 @t660)) % 233.97/234.19 (define @t663 () (or @t657 @t656 @t655)) % 233.97/234.19 (define @t664 () (or @t393 @t663)) % 233.97/234.19 (define @t665 () (forall @t659 @t664)) % 233.97/234.19 (define @t666 () (@list @t653 @t652)) % 233.97/234.19 (define @t667 () (forall @t666 @t664)) % 233.97/234.19 (define @t668 () (forall @t666 @t663)) % 233.97/234.19 (define @t669 () (@var "BOUND_VARIABLE_8521" $$unsorted)) % 233.97/234.19 (define @t670 () (or @t393 @t668)) % 233.97/234.19 (define @t671 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t669))))) % 233.97/234.19 (define @t672 () (not (tptp.ssList @t669))) % 233.97/234.19 (define @t673 () (or @t415 @t672 @t671)) % 233.97/234.19 (define @t674 () (@list @t28 @t669)) % 233.97/234.19 (define @t675 () (forall @t674 @t673)) % 233.97/234.19 (define @t676 () (or @t393 @t675)) % 233.97/234.19 (define @t677 () (forall @t14 @t676)) % 233.97/234.19 (define @t678 () (or @t37 @t677)) % 233.97/234.19 (define @t679 () (or @t37 @t676)) % 233.97/234.19 (define @t680 () (or @t393 @t37 @t675)) % 233.97/234.19 (define @t681 () (or @t37 @t675)) % 233.97/234.19 (define @t682 () (or @t672 @t671)) % 233.97/234.19 (define @t683 () (or @t415 @t682)) % 233.97/234.19 (define @t684 () (forall @t674 @t683)) % 233.97/234.19 (define @t685 () (@list @t669)) % 233.97/234.19 (define @t686 () (forall @t685 @t683)) % 233.97/234.19 (define @t687 () (forall @t685 @t682)) % 233.97/234.19 (define @t688 () (or @t415 @t687)) % 233.97/234.19 (define @t689 () (= @t2 @t30)) % 233.97/234.19 (define @t690 () (not @t689)) % 233.97/234.19 (define @t691 () (not @t32)) % 233.97/234.19 (define @t692 () (or @t691 @t690)) % 233.97/234.19 (define @t693 () (forall @t33 @t692)) % 233.97/234.19 (define @t694 () (or @t415 @t693)) % 233.97/234.19 (define @t695 () (forall @t35 @t694)) % 233.97/234.19 (define @t696 () (or @t37 @t695)) % 233.97/234.19 (define @t697 () (or @t37 @t694)) % 233.97/234.19 (define @t698 () (or @t415 @t37 @t693)) % 233.97/234.19 (define @t699 () (or @t37 @t693)) % 233.97/234.19 (define @t700 () (or @t37 @t692)) % 233.97/234.19 (define @t701 () (or @t691 @t690 @t37)) % 233.97/234.19 (define @t702 () (=> @t689 @t37)) % 233.97/234.19 (define @t703 () (not (= @t585 @t618))) % 233.97/234.19 (define @t704 () (or @t213 @t624 @t623 @t622 @t621 @t620 @t703)) % 233.97/234.19 (define @t705 () (forall @t626 @t704)) % 233.97/234.19 (define @t706 () (= @t600 @t705)) % 233.97/234.19 (define @t707 () (or @t603 @t706)) % 233.97/234.19 (define @t708 () (forall @t9 (or @t270 @t627))) % 233.97/234.19 (define @t709 () (forall @t626 (or @t213 @t624 @t623 @t622 @t621 @t620 (not (= @t618 @t585))))) % 233.97/234.19 (define @t710 () (= @t600 @t709)) % 233.97/234.19 (define @t711 () (or @t603 @t710)) % 233.97/234.19 (define @t712 () (@list false)) % 233.97/234.19 (define @t713 () (@list false false)) % 233.97/234.19 (define @t714 () (tptp.app (tptp.app @t582 (tptp.cons @t254 @t580)) (tptp.cons @t253 @t578))) % 233.97/234.19 (define @t715 () (not (= @t714 @t585))) % 233.97/234.19 (define @t716 () (or @t599 @t597 @t610 @t594 @t592 @t588 @t715)) % 233.97/234.19 (define @t717 () (= @t585 @t714)) % 233.97/234.19 (define @t718 () (not @t717)) % 233.97/234.19 (define @t719 () (or @t599 @t597 @t610 @t594 @t592 @t588 @t718)) % 233.97/234.19 (define @t720 () (= @t2 @t78)) % 233.97/234.19 (define @t721 () (tptp.app tptp.nil @t578)) % 233.97/234.19 (define @t722 () (= @t578 @t721)) % 233.97/234.19 (define @t723 () (or @t588 @t722)) % 233.97/234.19 (define @t724 () (tptp.cons @t253 @t721)) % 233.97/234.19 (define @t725 () (@var "BOUND_VARIABLE_9475" $$unsorted)) % 233.97/234.19 (define @t726 () (@var "BOUND_VARIABLE_9477" $$unsorted)) % 233.97/234.19 (define @t727 () (= (tptp.cons @t726 (tptp.app @t725 @t2)) (tptp.app (tptp.cons @t726 @t725) @t2))) % 233.97/234.19 (define @t728 () (not (tptp.ssItem @t726))) % 233.97/234.19 (define @t729 () (not (tptp.ssList @t725))) % 233.97/234.19 (define @t730 () (or @t270 @t729 @t728 @t727)) % 233.97/234.19 (define @t731 () (or @t729 @t728 @t727)) % 233.97/234.19 (define @t732 () (or @t270 @t731)) % 233.97/234.19 (define @t733 () (@list @t2 @t725 @t726)) % 233.97/234.19 (define @t734 () (forall @t733 @t732)) % 233.97/234.19 (define @t735 () (@list @t725 @t726)) % 233.97/234.19 (define @t736 () (forall @t735 @t732)) % 233.97/234.19 (define @t737 () (forall @t735 @t731)) % 233.97/234.19 (define @t738 () (@var "BOUND_VARIABLE_9457" $$unsorted)) % 233.97/234.19 (define @t739 () (or @t270 @t737)) % 233.97/234.19 (define @t740 () (= (tptp.cons @t738 @t71) (tptp.app (tptp.cons @t738 @t1) @t2))) % 233.97/234.19 (define @t741 () (not (tptp.ssItem @t738))) % 233.97/234.19 (define @t742 () (or @t320 @t741 @t740)) % 233.97/234.19 (define @t743 () (@list @t1 @t738)) % 233.97/234.19 (define @t744 () (forall @t743 @t742)) % 233.97/234.19 (define @t745 () (or @t741 @t740)) % 233.97/234.19 (define @t746 () (or @t320 @t745)) % 233.97/234.19 (define @t747 () (forall @t743 @t746)) % 233.97/234.19 (define @t748 () (@list @t738)) % 233.97/234.19 (define @t749 () (forall @t748 @t746)) % 233.97/234.19 (define @t750 () (forall @t748 @t745)) % 233.97/234.19 (define @t751 () (@list @t12)) % 233.97/234.19 (define @t752 () (or @t320 @t750)) % 233.97/234.19 (define @t753 () (forall @t16 (or @t642 @t72))) % 233.97/234.20 (define @t754 () (tptp.app @t579 @t578)) % 233.97/234.20 (define @t755 () (not @t59)) % 233.97/234.20 (define @t756 () (or @t588 @t755 @t597 (= @t724 @t754))) % 233.97/234.20 (define @t757 () (forall @t733 @t730)) % 233.97/234.20 (define @t758 () (= @t754 @t724)) % 233.97/234.20 (define @t759 () (or @t588 @t755 @t597 @t758)) % 233.97/234.20 (define @t760 () (@list @t757)) % 233.97/234.20 (define @t761 () (@list false false false false)) % 233.97/234.20 (define @t762 () (tptp.app tptp.nil @t580)) % 233.97/234.20 (define @t763 () (= @t580 @t762)) % 233.97/234.20 (define @t764 () (or @t592 @t763)) % 233.97/234.20 (define @t765 () (tptp.cons @t254 @t762)) % 233.97/234.20 (define @t766 () (tptp.app @t581 @t580)) % 233.97/234.20 (define @t767 () (or @t592 @t755 @t599 (= @t765 @t766))) % 233.97/234.20 (define @t768 () (= @t766 @t765)) % 233.97/234.20 (define @t769 () (or @t592 @t755 @t599 @t768)) % 233.97/234.20 (define @t770 () (tptp.app @t582 @t766)) % 233.97/234.20 (define @t771 () (@var "BOUND_VARIABLE_10638" $$unsorted)) % 233.97/234.20 (define @t772 () (@var "BOUND_VARIABLE_10636" $$unsorted)) % 233.97/234.20 (define @t773 () (= (tptp.app (tptp.app @t2 @t772) @t771) (tptp.app @t2 (tptp.app @t772 @t771)))) % 233.97/234.20 (define @t774 () (not (tptp.ssList @t771))) % 233.97/234.20 (define @t775 () (not (tptp.ssList @t772))) % 233.97/234.20 (define @t776 () (or @t775 @t774 @t773)) % 233.97/234.20 (define @t777 () (or @t270 @t776)) % 233.97/234.20 (define @t778 () (forall (@list @t2 @t772 @t771) @t777)) % 233.97/234.20 (define @t779 () (@list @t772 @t771)) % 233.97/234.20 (define @t780 () (forall @t779 @t777)) % 233.97/234.20 (define @t781 () (forall @t779 @t776)) % 233.97/234.20 (define @t782 () (@var "BOUND_VARIABLE_10618" $$unsorted)) % 233.97/234.20 (define @t783 () (or @t270 @t781)) % 233.97/234.20 (define @t784 () (= (tptp.app @t66 @t782) (tptp.app @t2 (tptp.app @t1 @t782)))) % 233.97/234.20 (define @t785 () (not (tptp.ssList @t782))) % 233.97/234.20 (define @t786 () (or @t320 @t785 @t784)) % 233.97/234.20 (define @t787 () (@list @t1 @t782)) % 233.97/234.20 (define @t788 () (forall @t787 @t786)) % 233.97/234.20 (define @t789 () (or @t785 @t784)) % 233.97/234.20 (define @t790 () (or @t320 @t789)) % 233.97/234.20 (define @t791 () (forall @t787 @t790)) % 233.97/234.20 (define @t792 () (@list @t782)) % 233.97/234.20 (define @t793 () (forall @t792 @t790)) % 233.97/234.20 (define @t794 () (forall @t792 @t789)) % 233.97/234.20 (define @t795 () (or @t320 @t794)) % 233.97/234.20 (define @t796 () (forall @t16 (or @t358 @t101))) % 233.97/234.20 (define @t797 () (@var "BOUND_VARIABLE_9194" $$unsorted)) % 233.97/234.20 (define @t798 () (tptp.ssList (tptp.cons @t797 @t2))) % 233.97/234.20 (define @t799 () (not (tptp.ssItem @t797))) % 233.97/234.20 (define @t800 () (or @t799 @t798)) % 233.97/234.20 (define @t801 () (or @t270 @t800)) % 233.97/234.20 (define @t802 () (forall (@list @t2 @t797) @t801)) % 233.97/234.20 (define @t803 () (@list @t797)) % 233.97/234.20 (define @t804 () (forall @t803 @t801)) % 233.97/234.20 (define @t805 () (forall @t803 @t800)) % 233.97/234.20 (define @t806 () (or @t270 @t805)) % 233.97/234.20 (define @t807 () (forall @t7 (or @t213 @t55))) % 233.97/234.20 (define @t808 () (tptp.ssList @t581)) % 233.97/234.20 (define @t809 () (or @t755 @t599 @t808)) % 233.97/234.20 (define @t810 () (= @t584 @t770)) % 233.97/234.20 (define @t811 () (not @t808)) % 233.97/234.20 (define @t812 () (or @t594 @t811 @t592 @t810)) % 233.97/234.20 (define @t813 () (tptp.app @t584 @t754)) % 233.97/234.20 (define @t814 () (tptp.ssList @t579)) % 233.97/234.20 (define @t815 () (or @t755 @t597 @t814)) % 233.97/234.20 (define @t816 () (@var "BOUND_VARIABLE_9438" $$unsorted)) % 233.97/234.20 (define @t817 () (tptp.ssList (tptp.app @t2 @t816))) % 233.97/234.20 (define @t818 () (not (tptp.ssList @t816))) % 233.97/234.20 (define @t819 () (or @t818 @t817)) % 233.97/234.20 (define @t820 () (or @t270 @t819)) % 233.97/234.20 (define @t821 () (forall (@list @t2 @t816) @t820)) % 233.97/234.20 (define @t822 () (@list @t816)) % 233.97/234.20 (define @t823 () (forall @t822 @t820)) % 233.97/234.20 (define @t824 () (forall @t822 @t819)) % 233.97/234.20 (define @t825 () (or @t270 @t824)) % 233.97/234.20 (define @t826 () (forall @t7 (or @t320 @t67))) % 233.97/234.20 (define @t827 () (tptp.ssList @t583)) % 233.97/234.20 (define @t828 () (or @t594 @t811 @t827)) % 233.97/234.20 (define @t829 () (tptp.ssList @t584)) % 233.97/234.20 (define @t830 () (not @t827)) % 233.97/234.20 (define @t831 () (or @t830 @t592 @t829)) % 233.97/234.20 (define @t832 () (= @t585 @t813)) % 233.97/234.20 (define @t833 () (not @t814)) % 233.97/234.20 (define @t834 () (not @t829)) % 233.97/234.20 (define @t835 () (or @t834 @t833 @t588 @t832)) % 233.97/234.20 (define @t836 () (not @t610)) % 233.97/234.20 (define @t837 () (@var "BOUND_VARIABLE_10885" $$unsorted)) % 233.97/234.20 (define @t838 () (tptp.lt @t2 @t837)) % 233.97/234.20 (define @t839 () (= @t2 @t837)) % 233.97/234.20 (define @t840 () (not (tptp.leq @t2 @t837))) % 233.97/234.20 (define @t841 () (not (tptp.ssItem @t837))) % 233.97/234.20 (define @t842 () (or @t204 @t841 @t840 @t839 @t838)) % 233.97/234.20 (define @t843 () (or @t841 @t840 @t839 @t838)) % 233.97/234.20 (define @t844 () (or @t204 @t843)) % 233.97/234.20 (define @t845 () (@list @t2 @t837)) % 233.97/234.20 (define @t846 () (forall @t845 @t844)) % 233.97/234.20 (define @t847 () (@list @t837)) % 233.97/234.20 (define @t848 () (forall @t847 @t844)) % 233.97/234.20 (define @t849 () (forall @t847 @t843)) % 233.97/234.20 (define @t850 () (or @t204 @t849)) % 233.97/234.20 (define @t851 () (not @t82)) % 233.97/234.20 (define @t852 () (or @t213 @t851 @t3 @t86)) % 233.97/234.20 (define @t853 () (forall @t7 @t852)) % 233.97/234.20 (define @t854 () (or @t851 @t3 @t86)) % 233.97/234.20 (define @t855 () (tptp.lt @t253 @t254)) % 233.97/234.20 (define @t856 () (or @t597 @t599 @t596 (= @t253 @t254) @t855)) % 233.97/234.20 (define @t857 () (forall @t845 @t842)) % 233.97/234.20 (define @t858 () (@list @t253 @t254)) % 233.97/234.20 (define @t859 () (or @t597 @t599 @t596 @t607 @t855)) % 233.97/234.20 (define @t860 () (@var "BOUND_VARIABLE_9611" $$unsorted)) % 233.97/234.20 (define @t861 () (not (tptp.lt @t860 @t2))) % 233.97/234.20 (define @t862 () (not (tptp.lt @t2 @t860))) % 233.97/234.20 (define @t863 () (not (tptp.ssItem @t860))) % 233.97/234.20 (define @t864 () (or @t863 @t862 @t861)) % 233.97/234.20 (define @t865 () (or @t204 @t864)) % 233.97/234.20 (define @t866 () (forall (@list @t2 @t860) @t865)) % 233.97/234.20 (define @t867 () (@list @t860)) % 233.97/234.20 (define @t868 () (forall @t867 @t865)) % 233.97/234.20 (define @t869 () (forall @t867 @t864)) % 233.97/234.20 (define @t870 () (or @t204 @t869)) % 233.97/234.20 (define @t871 () (not @t86)) % 233.97/234.20 (define @t872 () (or @t213 @t871 @t85)) % 233.97/234.20 (define @t873 () (forall @t7 @t872)) % 233.97/234.20 (define @t874 () (not @t855)) % 233.97/234.20 (define @t875 () (or @t597 @t599 @t874 @t836)) % 233.97/234.20 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 233.97/234.20 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 233.97/234.20 (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))))))))))) % 233.97/234.20 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 233.97/234.20 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 233.97/234.20 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 233.97/234.20 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 233.97/234.20 (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))))))))))))))))) % 233.97/234.20 (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)))))))))))))))) % 233.97/234.20 (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))))))))))))))))) % 233.97/234.20 (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))))))))))))))) % 233.97/234.20 (assume @p12 @t52) % 233.97/234.20 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t53)))))))))))))))) % 233.97/234.20 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t53))))))))))))) % 233.97/234.20 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 233.97/234.20 (assume @p16 @t58) % 233.97/234.20 (assume @p17 @t59) % 233.97/234.20 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 233.97/234.20 (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) @t60))))))))))) % 233.97/234.20 (assume @p20 (forall @t9 (=> @t17 (or @t62 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t61 @t2))))))))) % 233.97/234.20 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 233.97/234.20 (assume @p22 (forall @t9 (=> @t17 (=> @t64 (tptp.ssItem @t63))))) % 233.97/234.20 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 233.97/234.20 (assume @p24 (forall @t9 (=> @t17 (=> @t64 (tptp.ssList @t65))))) % 233.97/234.20 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 233.97/234.20 (assume @p26 @t70) % 233.97/234.20 (assume @p27 @t77) % 233.97/234.20 (assume @p28 @t80) % 233.97/234.20 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t82 @t81) @t3)))))) % 233.97/234.20 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t26) (tptp.leq @t2 @t12))))))))) % 233.97/234.20 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 233.97/234.20 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t83 @t81)))))) % 233.97/234.20 (assume @p33 @t90) % 233.97/234.20 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t86 @t37) @t91)))))))) % 233.97/234.20 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t92 @t84)))))) % 233.97/234.20 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t93))))))))) % 233.97/234.20 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t93))))))))) % 233.97/234.20 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 233.97/234.20 (assume @p39 (not (tptp.singletonP tptp.nil))) % 233.97/234.20 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 233.97/234.20 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 233.97/234.20 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 233.97/234.20 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 233.97/234.20 (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)))))))))))) % 233.97/234.20 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 233.97/234.20 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t62)))) % 233.97/234.20 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 233.97/234.20 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 233.97/234.20 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 233.97/234.20 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t94 @t1))))))))) % 233.97/234.20 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 233.97/234.20 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t62)))) % 233.97/234.20 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 233.97/234.20 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 233.97/234.20 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 233.97/234.20 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t94 @t10) @t1))))))))))) % 233.97/234.20 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 233.97/234.20 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t62)))) % 233.97/234.20 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t95)))) % 233.97/234.20 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 233.97/234.20 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t95)))) % 233.97/234.20 (assume @p62 (tptp.totalorderP tptp.nil)) % 233.97/234.20 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t95)))) % 233.97/234.20 (assume @p64 (tptp.strictorderP tptp.nil)) % 233.97/234.20 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t95)))) % 233.97/234.20 (assume @p66 (tptp.totalorderedP tptp.nil)) % 233.97/234.20 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t99) (or @t97 (and @t98 (tptp.totalorderedP @t1) (tptp.leq @t2 @t96))))))))) % 233.97/234.20 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t95)))) % 233.97/234.20 (assume @p69 (tptp.strictorderedP tptp.nil)) % 233.97/234.20 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t99) (or @t97 (and @t98 (tptp.strictorderedP @t1) (tptp.lt @t2 @t96))))))))) % 233.97/234.20 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t95)))) % 233.97/234.20 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 233.97/234.20 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t95)))) % 233.97/234.20 (assume @p74 (tptp.equalelemsP tptp.nil)) % 233.97/234.20 (assume @p75 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t6 (= @t63 @t1))))))) % 233.97/234.20 (assume @p76 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t21 (= @t65 @t1))))))) % 233.97/234.20 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t98 @t64 (= @t96 @t63) (= (tptp.tl @t1) @t65)) @t60)))))) % 233.97/234.20 (assume @p78 (forall @t9 (=> @t17 (=> @t64 (= (tptp.cons @t63 @t65) @t2))))) % 233.97/234.20 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t66) @t100)))))))) % 233.97/234.20 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t71) @t100)))))))) % 233.97/234.20 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 233.97/234.20 (assume @p82 @t106) % 233.97/234.20 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t66) (and @t97 @t62))))))) % 233.97/234.20 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 233.97/234.20 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.hd @t66) @t63))))))) % 233.97/234.20 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.tl @t66) (tptp.app @t65 @t1)))))))) % 233.97/234.20 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t83 (tptp.geq @t1 @t2)) @t3)))))) % 233.97/234.20 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t83 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 233.97/234.20 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 233.97/234.20 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 233.97/234.20 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t37) @t91)))))))) % 233.97/234.20 (assume @p92 @t111) % 233.97/234.20 (assume @p93 @t115) % 233.97/234.20 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t92 (not (tptp.gt @t1 @t2)))))))) % 233.97/234.20 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t92 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 233.97/234.20 (assume @p96 @t200) % 233.97/234.20 (assume @p97 true) % 233.97/234.20 (step @p98 :rule aci_norm :args ((= @t206 (or @t204 @t203 @t202)))) % 233.97/234.20 (step @p99 :rule cong :premises (@p98) :args (@t207)) % 233.97/234.20 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t209) @t207))) % 233.97/234.20 (step @p101 :rule alpha_equiv :args (@t210 (@list @t201) @t211)) % 233.97/234.20 (step @p102 :rule refl :args (@t204)) % 233.97/234.20 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t212)) % 233.97/234.20 (step @p104 :rule quant-miniscope-or :args ((= @t209 @t212))) % 233.97/234.20 (step @p105 :rule trans :premises (@p104 @p103)) % 233.97/234.20 (step @p106 :rule symm :premises (@p105)) % 233.97/234.20 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t204 @t214)))) % 233.97/234.20 (step @p108 :rule trans :premises (@p107 @p100)) % 233.97/234.20 (step @p109 :rule trans :premises (@p108 @p99)) % 233.97/234.20 (step @p110 :rule bool-impl-elim :args (@t8 @t214)) % 233.97/234.20 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t8 @t214)))) % 233.97/234.20 (step @p112 :rule trans :premises (@p111 @p109)) % 233.97/234.20 (step @p113 :rule bool-impl-elim :args (@t6 @t112)) % 233.97/234.20 (step @p114 :rule cong :premises (@p113) :args (@t113)) % 233.97/234.20 (step @p115 :rule refl :args (@t8)) % 233.97/234.20 (step @p116 :rule cong :premises (@p115 @p114) :args (@t114)) % 233.97/234.20 (step @p117 :rule cong :premises (@p116) :args (@t115)) % 233.97/234.20 (step @p118 :rule trans :premises (@p117 @p112)) % 233.97/234.20 (step @p119 :rule eq_resolve :premises (@p93 @p118)) % 233.97/234.20 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t254 @t253))) % 233.97/234.20 (step @p121 :rule aci_norm :args ((= (or @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t240 false @t239 @t238 @t235 @t234) @t250))) % 233.97/234.20 (step @p122 :rule refl :args (@t218)) % 233.97/234.20 (step @p123 :rule refl :args (@t219)) % 233.97/234.20 (step @p124 :rule eq-symm :args (@t225 @t228)) % 233.97/234.20 (step @p125 :rule cong :premises (@p124) :args (@t255)) % 233.97/234.20 (step @p126 :rule refl :args (@t229)) % 233.97/234.20 (step @p127 :rule refl :args (@t230)) % 233.97/234.20 (step @p128 :rule refl :args (@t231)) % 233.97/234.20 (step @p129 :rule refl :args (@t232)) % 233.97/234.20 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126 @p125 @p123 @p122) :args (@t256)) % 233.97/234.20 (step @p131 :rule cong :premises (@p130) :args (@t257)) % 233.97/234.20 (step @p132 :rule cong :premises (@p131) :args (@t258)) % 233.97/234.20 (step @p133 :rule refl :args (@t235)) % 233.97/234.20 (step @p134 :rule eq-symm :args (@t225 tptp.nil)) % 233.97/234.20 (step @p135 :rule refl :args (@t237)) % 233.97/234.20 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t259)) % 233.97/234.20 (step @p137 :rule refl :args (@t239)) % 233.97/234.20 (step @p138 :rule evaluate :args ((not true))) % 233.97/234.20 (step @p139 :rule eq-refl :args (@t225)) % 233.97/234.20 (step @p140 :rule cong :premises (@p139) :args (@t260)) % 233.97/234.20 (step @p141 :rule trans :premises (@p140 @p138)) % 233.97/234.20 (step @p142 :rule refl :args (@t240)) % 233.97/234.20 (step @p143 :rule refl :args (@t242)) % 233.97/234.20 (step @p144 :rule refl :args (@t243)) % 233.97/234.20 (step @p145 :rule refl :args (@t244)) % 233.97/234.20 (step @p146 :rule refl :args (@t245)) % 233.97/234.20 (step @p147 :rule refl :args (@t246)) % 233.97/234.20 (step @p148 :rule refl :args (@t247)) % 233.97/234.20 (step @p149 :rule refl :args (@t248)) % 233.97/234.20 (step @p150 :rule refl :args (@t249)) % 233.97/234.20 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p137 @p136 @p133 @p132) :args (@t261)) % 233.97/234.20 (step @p152 :rule trans :premises (@p151 @p121)) % 233.97/234.20 (step @p153 :rule cong :premises (@p152) :args ((forall @t251 @t261))) % 233.97/234.20 (step @p154 :rule quant-var-elim-eq :args ((= (forall @t9 @t271) @t261))) % 233.97/234.20 (step @p155 :rule aci_norm :args ((= @t272 @t271))) % 233.97/234.20 (step @p156 :rule cong :premises (@p155) :args (@t273)) % 233.97/234.20 (step @p157 :rule trans :premises (@p156 @p154)) % 233.97/234.20 (step @p158 :rule cong :premises (@p157) :args (@t274)) % 233.97/234.20 (step @p159 :rule quant-merge-prenex :args ((= @t274 @t275))) % 233.97/234.20 (step @p160 :rule symm :premises (@p159)) % 233.97/234.20 (step @p161 :rule quant_var_reordering :args ((= (forall @t276 @t272) @t275))) % 233.97/234.20 (step @p162 :rule trans :premises (@p161 @p160 @p158)) % 233.97/234.20 (step @p163 :rule trans :premises (@p162 @p153)) % 233.97/234.20 (step @p164 :rule aci_norm :args ((= @t279 @t272))) % 233.97/234.20 (step @p165 :rule cong :premises (@p164) :args (@t280)) % 233.97/234.20 (step @p166 :rule trans :premises (@p165 @p163)) % 233.97/234.20 (step @p167 :rule quant-merge-prenex :args ((= (forall @t9 @t281) @t280))) % 233.97/234.20 (step @p168 :rule alpha_equiv :args (@t282 (@list @t215) @t284)) % 233.97/234.20 (step @p169 :rule refl :args (@t269)) % 233.97/234.20 (step @p170 :rule alpha_equiv :args (@t285 (@list @t223 @t221 @t224 @t222 @t241 @t220) (@list @t119 @t290 @t289 @t288 @t287 @t286))) % 233.97/234.20 (step @p171 :rule refl :args (@t270)) % 233.97/234.20 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169 @p168) :args (@t291)) % 233.97/234.20 (step @p173 :rule quant-miniscope-or :args ((= @t281 @t291))) % 233.97/234.20 (step @p174 :rule trans :premises (@p173 @p172)) % 233.97/234.20 (step @p175 :rule symm :premises (@p174)) % 233.97/234.20 (step @p176 :rule cong :premises (@p175) :args ((forall @t9 @t311))) % 233.97/234.20 (step @p177 :rule trans :premises (@p176 @p167)) % 233.97/234.20 (step @p178 :rule trans :premises (@p177 @p166)) % 233.97/234.20 (step @p179 :rule aci_norm :args ((= (or @t270 @t312) @t311))) % 233.97/234.20 (step @p180 :rule bool-impl-elim :args (@t17 @t312)) % 233.97/234.20 (step @p181 :rule trans :premises (@p180 @p179)) % 233.97/234.20 (step @p182 :rule cong :premises (@p181) :args ((forall @t9 (=> @t17 @t312)))) % 233.97/234.20 (step @p183 :rule trans :premises (@p182 @p178)) % 233.97/234.20 (step @p184 :rule aci_norm :args ((= (or @t296 @t295 @t293 false @t292) @t297))) % 233.97/234.20 (step @p185 :rule refl :args (@t292)) % 233.97/234.20 (step @p186 :rule eq-refl 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:premises (@p967) :args (@t102)) % 233.47/234.20 (step @p969 :rule cong :premises (@p631 @p968) :args (@t103)) % 233.47/234.20 (step @p970 :rule cong :premises (@p969) :args (@t104)) % 233.47/234.20 (step @p971 :rule trans :premises (@p970 @p966)) % 233.47/234.20 (step @p972 :rule cong :premises (@p635 @p971) :args (@t105)) % 233.47/234.20 (step @p973 :rule cong :premises (@p972) :args (@t106)) % 233.47/234.20 (step @p974 :rule trans :premises (@p973 @p952)) % 233.47/234.20 (step @p975 :rule eq_resolve :premises (@p82 @p974)) % 233.47/234.20 (step @p976 :rule instantiate :premises (@p975) :args ((@list @t582 @t581 @t580))) % 233.47/234.20 (step @p977 :rule aci_norm :args ((= @t801 (or @t270 @t799 @t798)))) % 233.47/234.20 (step @p978 :rule cong :premises (@p977) :args (@t802)) % 233.47/234.20 (step @p979 :rule quant-merge-prenex :args ((= (forall @t9 @t804) @t802))) % 233.47/234.20 (step @p980 :rule alpha_equiv :args (@t805 (@list @t797) @t211)) % 233.47/234.20 (step @p981 :rule nary_cong :premises (@p171 @p980) :args (@t806)) % 233.47/234.20 (step @p982 :rule quant-miniscope-or :args ((= @t804 @t806))) % 233.47/234.20 (step @p983 :rule trans :premises (@p982 @p981)) % 233.47/234.20 (step @p984 :rule symm :premises (@p983)) % 233.47/234.20 (step @p985 :rule cong :premises (@p984) :args ((forall @t9 (or @t270 @t807)))) % 233.47/234.20 (step @p986 :rule trans :premises (@p985 @p979)) % 233.47/234.20 (step @p987 :rule trans :premises (@p986 @p978)) % 233.47/234.20 (step @p988 :rule bool-impl-elim :args (@t17 @t807)) % 233.47/234.20 (step @p989 :rule cong :premises (@p988) :args ((forall @t9 (=> @t17 @t807)))) % 233.47/234.20 (step @p990 :rule trans :premises (@p989 @p987)) % 233.47/234.20 (step @p991 :rule bool-impl-elim :args (@t6 @t55)) % 233.47/234.20 (step @p992 :rule cong :premises (@p991) :args (@t56)) % 233.47/234.20 (step @p993 :rule cong :premises (@p635 @p992) :args (@t57)) % 233.47/234.20 (step @p994 :rule cong :premises (@p993) :args (@t58)) % 233.47/234.20 (step @p995 :rule trans :premises (@p994 @p990)) % 233.47/234.20 (step @p996 :rule eq_resolve :premises (@p16 @p995)) % 233.47/234.20 (step @p997 :rule instantiate :premises (@p996) :args ((@list tptp.nil @t254))) % 233.47/234.20 (step @p998 :rule cnf_or_pos :args (@t809)) % 233.47/234.20 (step @p999 :rule reordering :premises (@p998) :args ((or @t755 @t599 @t808 (not @t809)))) % 233.47/234.20 (step @p1000 :rule chain_m_resolution :premises (@p999 @p17 @p654 @p997) :args (@t808 @t613 (@list @t59 @t598 @t809))) % 233.47/234.20 (step @p1001 :rule bool-double-not-elim :args (@t593)) % 233.47/234.20 (step @p1002 :rule nary_cong :premises (@p643 @p1001) :args ((or @t604 (not @t594)))) % 233.47/234.20 (step @p1003 :rule cnf_or_neg :args (@t604 5)) % 233.47/234.20 (step @p1004 :rule eq_resolve :premises (@p1003 @p1002)) % 233.47/234.20 (step @p1005 :rule reordering :premises (@p1004) :args ((or @t593 @t604))) % 233.47/234.20 (step @p1006 :rule chain_m_resolution :premises (@p1005 @p641) :args (@t593 @t605 @t606)) % 233.47/234.20 (step @p1007 :rule cnf_or_pos :args (@t812)) % 233.47/234.20 (step @p1008 :rule reordering :premises (@p1007) :args ((or @t594 @t592 @t811 @t810 (not @t812)))) % 233.47/234.20 (step @p1009 :rule chain_m_resolution :premises (@p1008 @p1006 @p916 @p1000 @p976) :args (@t810 @t761 (@list @t593 @t591 @t808 @t812))) % 233.47/234.20 (step @p1010 :rule trans :premises (@p1009 @p938)) % 233.47/234.20 (step @p1011 :rule cong :premises (@p1010 @p909) :args (@t813)) % 233.47/234.20 (step @p1012 :rule instantiate :premises (@p975) :args ((@list @t584 @t579 @t578))) % 233.47/234.20 (step @p1013 :rule instantiate :premises (@p996) :args ((@list tptp.nil @t253))) % 233.47/234.20 (step @p1014 :rule cnf_or_pos :args (@t815)) % 233.47/234.20 (step @p1015 :rule reordering :premises (@p1014) :args ((or @t755 @t597 @t814 (not @t815)))) % 233.47/234.20 (step @p1016 :rule chain_m_resolution :premises (@p1015 @p17 @p648 @p1013) :args (@t814 @t613 (@list @t59 @t576 @t815))) % 233.47/234.20 (step @p1017 :rule aci_norm :args ((= @t820 (or @t270 @t818 @t817)))) % 233.47/234.20 (step @p1018 :rule cong :premises (@p1017) :args (@t821)) % 233.47/234.20 (step @p1019 :rule quant-merge-prenex :args ((= (forall @t9 @t823) @t821))) % 233.47/234.20 (step @p1020 :rule alpha_equiv :args (@t824 (@list @t816) @t211)) % 233.47/234.20 (step @p1021 :rule nary_cong :premises (@p171 @p1020) :args (@t825)) % 233.47/234.20 (step @p1022 :rule quant-miniscope-or :args ((= @t823 @t825))) % 233.47/234.20 (step @p1023 :rule trans :premises (@p1022 @p1021)) % 233.47/234.20 (step @p1024 :rule symm :premises (@p1023)) % 233.47/234.20 (step @p1025 :rule cong :premises (@p1024) :args ((forall @t9 (or @t270 @t826)))) % 233.47/234.20 (step @p1026 :rule trans :premises (@p1025 @p1019)) % 233.47/234.20 (step @p1027 :rule trans :premises (@p1026 @p1018)) % 233.47/234.20 (step @p1028 :rule bool-impl-elim :args (@t17 @t826)) % 233.47/234.20 (step @p1029 :rule cong :premises (@p1028) :args ((forall @t9 (=> @t17 @t826)))) % 233.47/234.20 (step @p1030 :rule trans :premises (@p1029 @p1027)) % 233.47/234.20 (step @p1031 :rule bool-impl-elim :args (@t21 @t67)) % 233.47/234.20 (step @p1032 :rule cong :premises (@p1031) :args (@t68)) % 233.47/234.20 (step @p1033 :rule cong :premises (@p635 @p1032) :args (@t69)) % 233.47/234.20 (step @p1034 :rule cong :premises (@p1033) :args (@t70)) % 233.47/234.20 (step @p1035 :rule trans :premises (@p1034 @p1030)) % 233.47/234.20 (step @p1036 :rule eq_resolve :premises (@p26 @p1035)) % 233.47/234.20 (step @p1037 :rule instantiate :premises (@p1036) :args ((@list @t583 @t580))) % 233.47/234.20 (step @p1038 :rule instantiate :premises (@p1036) :args ((@list @t582 @t581))) % 233.47/234.20 (step @p1039 :rule cnf_or_pos :args (@t828)) % 233.47/234.20 (step @p1040 :rule reordering :premises (@p1039) :args ((or @t594 @t811 @t827 (not @t828)))) % 233.47/234.20 (step @p1041 :rule chain_m_resolution :premises (@p1040 @p1006 @p1000 @p1038) :args (@t827 @t613 (@list @t593 @t808 @t828))) % 233.47/234.20 (step @p1042 :rule cnf_or_pos :args (@t831)) % 233.47/234.20 (step @p1043 :rule reordering :premises (@p1042) :args ((or @t592 @t830 @t829 (not @t831)))) % 233.47/234.20 (step @p1044 :rule chain_m_resolution :premises (@p1043 @p916 @p1041 @p1037) :args (@t829 @t613 (@list @t591 @t827 @t831))) % 233.47/234.20 (step @p1045 :rule cnf_or_pos :args (@t835)) % 233.47/234.20 (step @p1046 :rule reordering :premises (@p1045) :args ((or @t588 @t834 @t833 @t832 (not @t835)))) % 233.47/234.20 (step @p1047 :rule chain_m_resolution :premises (@p1046 @p850 @p1044 @p1016 @p1012) :args (@t832 @t761 (@list @t587 @t829 @t814 @t835))) % 233.47/234.20 (step @p1048 :rule trans :premises (@p1047 @p1011)) % 233.47/234.20 (step @p1049 :rule cnf_or_pos :args (@t719)) % 233.47/234.20 (step @p1050 :rule reordering :premises (@p1049) :args ((or @t599 @t597 @t594 @t592 @t588 @t610 @t718 (not @t719)))) % 233.47/234.20 (step @p1051 :rule chain_m_resolution :premises (@p1050 @p654 @p648 @p1006 @p916 @p850 @p1048 @p836) :args (@t610 (@list false false false false false false false) (@list @t598 @t576 @t593 @t591 @t587 @t717 @t719))) % 233.47/234.20 (step @p1052 :rule cnf_equiv_pos1 :args (@t611)) % 233.47/234.20 (step @p1053 :rule reordering :premises (@p1052) :args ((or @t836 @t609 (not @t611)))) % 233.47/234.20 (step @p1054 :rule chain_m_resolution :premises (@p1053 @p1051 @p657) :args (@t609 @t713 (@list @t610 @t611))) % 233.47/234.20 (step @p1055 :rule aci_norm :args ((= @t844 @t842))) % 233.47/234.20 (step @p1056 :rule cong :premises (@p1055) :args (@t846)) % 233.47/234.20 (step @p1057 :rule quant-merge-prenex :args ((= (forall @t9 @t848) @t846))) % 233.47/234.20 (step @p1058 :rule alpha_equiv :args (@t849 (@list @t837) @t211)) % 233.47/234.20 (step @p1059 :rule nary_cong :premises (@p102 @p1058) :args (@t850)) % 233.47/234.20 (step @p1060 :rule quant-miniscope-or :args ((= @t848 @t850))) % 233.47/234.20 (step @p1061 :rule trans :premises (@p1060 @p1059)) % 233.47/234.20 (step @p1062 :rule symm :premises (@p1061)) % 233.47/234.20 (step @p1063 :rule cong :premises (@p1062) :args ((forall @t9 (or @t204 @t853)))) % 233.47/234.20 (step @p1064 :rule trans :premises (@p1063 @p1057)) % 233.47/234.20 (step @p1065 :rule trans :premises (@p1064 @p1056)) % 233.47/234.20 (step @p1066 :rule bool-impl-elim :args (@t8 @t853)) % 233.47/234.20 (step @p1067 :rule cong :premises (@p1066) :args ((forall @t9 (=> @t8 @t853)))) % 233.47/234.20 (step @p1068 :rule trans :premises (@p1067 @p1065)) % 233.47/234.20 (step @p1069 :rule aci_norm :args ((= (or @t213 @t854) @t852))) % 233.47/234.20 (step @p1070 :rule aci_norm :args ((= (or @t851 @t107) @t854))) % 233.47/234.20 (step @p1071 :rule bool-impl-elim :args (@t82 @t107)) % 233.47/234.20 (step @p1072 :rule trans :premises (@p1071 @p1070)) % 233.47/234.20 (step @p1073 :rule nary_cong :premises (@p664 @p1072) :args ((or @t213 @t108))) % 233.47/234.20 (step @p1074 :rule trans :premises (@p1073 @p1069)) % 233.47/234.20 (step @p1075 :rule bool-impl-elim :args (@t6 @t108)) % 233.47/234.20 (step @p1076 :rule trans :premises (@p1075 @p1074)) % 233.47/234.20 (step @p1077 :rule cong :premises (@p1076) :args (@t109)) % 233.47/234.20 (step @p1078 :rule cong :premises (@p115 @p1077) :args (@t110)) % 233.47/234.20 (step @p1079 :rule cong :premises (@p1078) :args (@t111)) % 233.47/234.20 (step @p1080 :rule trans :premises (@p1079 @p1068)) % 233.47/234.20 (step @p1081 :rule eq_resolve :premises (@p92 @p1080)) % 233.47/234.20 (step @p1082 :rule refl :args (@t855)) % 233.47/234.20 (step @p1083 :rule eq-symm :args (@t253 @t254)) % 233.47/234.20 (step @p1084 :rule refl :args (@t596)) % 233.47/234.20 (step @p1085 :rule nary_cong :premises (@p825 @p826 @p1084 @p1083 @p1082) :args (@t856)) % 233.47/234.20 (step @p1086 :rule refl :args (@t857)) % 233.47/234.20 (step @p1087 :rule cong :premises (@p1086 @p1085) :args ((=> @t857 @t856))) % 233.47/234.20 (assume-push @p1144 @t857) % 233.47/234.20 (step @p1089 :rule instantiate :premises (@p1081) :args (@t858)) % 233.47/234.20 (step-pop @p1145 :rule scope :premises (@p1089)) % 233.47/234.20 (step @p1090 :rule process_scope :premises (@p1145) :args (@t856)) % 233.47/234.20 (step @p1092 :rule eq_resolve :premises (@p1090 @p1087)) % 233.47/234.20 (step @p1093 :rule implies_elim :premises (@p1092)) % 233.47/234.20 (step @p1094 :rule chain_m_resolution :premises (@p1093 @p1081) :args (@t859 @t712 (@list @t857))) % 233.47/234.20 (step @p1095 :rule aci_norm :args ((= @t865 (or @t204 @t863 @t862 @t861)))) % 233.47/234.20 (step @p1096 :rule cong :premises (@p1095) :args (@t866)) % 233.47/234.20 (step @p1097 :rule quant-merge-prenex :args ((= (forall @t9 @t868) @t866))) % 233.47/234.20 (step @p1098 :rule alpha_equiv :args (@t869 (@list @t860) @t211)) % 233.47/234.20 (step @p1099 :rule nary_cong :premises (@p102 @p1098) :args (@t870)) % 233.47/234.20 (step @p1100 :rule quant-miniscope-or :args ((= @t868 @t870))) % 233.47/234.20 (step @p1101 :rule trans :premises (@p1100 @p1099)) % 233.47/234.20 (step @p1102 :rule symm :premises (@p1101)) % 233.47/234.20 (step @p1103 :rule cong :premises (@p1102) :args ((forall @t9 (or @t204 @t873)))) % 233.47/234.20 (step @p1104 :rule trans :premises (@p1103 @p1097)) % 233.47/234.20 (step @p1105 :rule trans :premises (@p1104 @p1096)) % 233.47/234.20 (step @p1106 :rule bool-impl-elim :args (@t8 @t873)) % 233.47/234.20 (step @p1107 :rule cong :premises (@p1106) :args ((forall @t9 (=> @t8 @t873)))) % 233.47/234.20 (step @p1108 :rule trans :premises (@p1107 @p1105)) % 233.47/234.20 (step @p1109 :rule aci_norm :args ((= (or @t213 (or @t871 @t85)) @t872))) % 233.47/234.20 (step @p1110 :rule bool-impl-elim :args (@t86 @t85)) % 233.47/234.20 (step @p1111 :rule nary_cong :premises (@p664 @p1110) :args ((or @t213 @t87))) % 233.47/234.20 (step @p1112 :rule trans :premises (@p1111 @p1109)) % 233.47/234.20 (step @p1113 :rule bool-impl-elim :args (@t6 @t87)) % 233.47/234.20 (step @p1114 :rule trans :premises (@p1113 @p1112)) % 233.47/234.20 (step @p1115 :rule cong :premises (@p1114) :args (@t88)) % 233.47/234.20 (step @p1116 :rule cong :premises (@p115 @p1115) :args (@t89)) % 233.47/234.20 (step @p1117 :rule cong :premises (@p1116) :args (@t90)) % 233.47/234.20 (step @p1118 :rule trans :premises (@p1117 @p1108)) % 233.47/234.20 (step @p1119 :rule eq_resolve :premises (@p33 @p1118)) % 233.47/234.20 (step @p1120 :rule instantiate :premises (@p1119) :args (@t858)) % 233.47/234.20 (step @p1121 :rule cnf_or_pos :args (@t875)) % 233.47/234.20 (step @p1122 :rule reordering :premises (@p1121) :args ((or @t599 @t597 @t874 @t836 (not @t875)))) % 233.47/234.20 (step @p1123 :rule chain_m_resolution :premises (@p1122 @p654 @p648 @p1051 @p1120) :args (@t874 @t761 (@list @t598 @t576 @t610 @t875))) % 233.47/234.20 (step @p1124 :rule bool-double-not-elim :args (@t595)) % 233.47/234.20 (step @p1125 :rule nary_cong :premises (@p643 @p1124) :args ((or @t604 (not @t596)))) % 233.47/234.20 (step @p1126 :rule cnf_or_neg :args (@t604 4)) % 233.47/234.20 (step @p1127 :rule eq_resolve :premises (@p1126 @p1125)) % 233.47/234.20 (step @p1128 :rule reordering :premises (@p1127) :args ((or @t595 @t604))) % 233.47/234.20 (step @p1129 :rule chain_m_resolution :premises (@p1128 @p641) :args (@t595 @t605 @t606)) % 233.47/234.20 (step @p1130 :rule cnf_or_pos :args (@t859)) % 233.47/234.20 (step @p1131 :rule reordering :premises (@p1130) :args ((or @t599 @t597 @t596 @t607 @t855 (not @t859)))) % 233.47/234.20 (step @p1132 :rule chain_m_resolution :premises (@p1131 @p654 @p648 @p1129 @p1123 @p1094) :args (@t607 (@list false false false true false) (@list @t598 @t576 @t595 @t855 @t859))) % 233.47/234.20 (step @p1133 :rule cnf_and_pos :args (@t609 0)) % 233.47/234.20 (step @p1134 :rule reordering :premises (@p1133) :args ((or @t608 (not @t609)))) % 233.47/234.20 (step @p1135 false :rule chain_m_resolution :premises (@p1134 @p1132 @p1054) :args (false @t713 (@list @t607 @t609))) % 233.47/234.20 ) % 233.47/234.20 % SZS output end Proof % 233.47/234.20 % cvc5 exiting %------------------------------------------------------------------------------