%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC344+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 : n005.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 08:58:56 AM UTC 2026 % Result : Theorem 0.51s 0.79s % Output : Proof 0.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC344+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 19:42:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.79 % SZS status Theorem % 0.51/0.79 % SZS output start Proof % 0.51/0.79 ( % 0.51/0.79 (declare-sort $$unsorted 0) % 0.51/0.79 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.nil $$unsorted) % 0.51/0.79 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (define @t1 () (@var "V" $$unsorted)) % 0.51/0.79 (define @t2 () (@var "U" $$unsorted)) % 0.51/0.79 (define @t3 () (= @t2 @t1)) % 0.51/0.79 (define @t4 () (not @t3)) % 0.51/0.79 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.51/0.79 (define @t6 () (tptp.ssItem @t1)) % 0.51/0.79 (define @t7 () (@list @t1)) % 0.51/0.79 (define @t8 () (tptp.ssItem @t2)) % 0.51/0.79 (define @t9 () (@list @t2)) % 0.51/0.79 (define @t10 () (@var "X" $$unsorted)) % 0.51/0.79 (define @t11 () (tptp.cons @t1 @t10)) % 0.51/0.79 (define @t12 () (@var "W" $$unsorted)) % 0.51/0.79 (define @t13 () (tptp.ssList @t10)) % 0.51/0.79 (define @t14 () (@list @t10)) % 0.51/0.79 (define @t15 () (tptp.ssList @t12)) % 0.51/0.79 (define @t16 () (@list @t12)) % 0.51/0.79 (define @t17 () (tptp.ssList @t2)) % 0.51/0.79 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.51/0.79 (define @t19 () (tptp.app @t1 @t12)) % 0.51/0.79 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.51/0.79 (define @t21 () (tptp.ssList @t1)) % 0.51/0.79 (define @t22 () (tptp.app @t12 @t1)) % 0.51/0.79 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.51/0.79 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.51/0.79 (define @t25 () (tptp.leq @t12 @t1)) % 0.51/0.79 (define @t26 () (tptp.leq @t1 @t12)) % 0.51/0.79 (define @t27 () (@var "Z" $$unsorted)) % 0.51/0.79 (define @t28 () (@var "Y" $$unsorted)) % 0.51/0.79 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.51/0.79 (define @t30 () (tptp.ssList @t27)) % 0.51/0.79 (define @t31 () (@list @t27)) % 0.51/0.79 (define @t32 () (tptp.ssList @t28)) % 0.51/0.79 (define @t33 () (@list @t28)) % 0.51/0.79 (define @t34 () (tptp.ssItem @t12)) % 0.51/0.79 (define @t35 () (tptp.lt @t1 @t12)) % 0.51/0.79 (define @t36 () (tptp.strictorderedP @t2)) % 0.51/0.79 (define @t37 () (= @t1 @t12)) % 0.51/0.79 (define @t38 () (tptp.cons @t1 @t2)) % 0.51/0.79 (define @t39 () (= @t1 @t2)) % 0.51/0.79 (define @t40 () (tptp.cons @t12 @t1)) % 0.51/0.79 (define @t41 () (= tptp.nil @t2)) % 0.51/0.79 (define @t42 () (tptp.hd @t2)) % 0.51/0.79 (define @t43 () (not @t41)) % 0.51/0.79 (define @t44 () (tptp.tl @t2)) % 0.51/0.79 (define @t45 () (tptp.app @t2 @t1)) % 0.51/0.79 (define @t46 () (tptp.app @t1 @t2)) % 0.51/0.79 (define @t47 () (tptp.leq @t1 @t2)) % 0.51/0.79 (define @t48 () (tptp.leq @t2 @t1)) % 0.51/0.79 (define @t49 () (tptp.geq @t2 @t1)) % 0.51/0.79 (define @t50 () (tptp.lt @t1 @t2)) % 0.51/0.79 (define @t51 () (tptp.lt @t2 @t1)) % 0.51/0.79 (define @t52 () (tptp.lt @t2 @t12)) % 0.51/0.79 (define @t53 () (tptp.gt @t2 @t1)) % 0.51/0.79 (define @t54 () (tptp.memberP @t12 @t2)) % 0.51/0.79 (define @t55 () (tptp.app @t12 @t2)) % 0.51/0.79 (define @t56 () (tptp.cons @t2 tptp.nil)) % 0.51/0.79 (define @t57 () (tptp.hd @t1)) % 0.51/0.79 (define @t58 () (= tptp.nil @t1)) % 0.51/0.79 (define @t59 () (not @t58)) % 0.51/0.79 (define @t60 () (tptp.cons @t2 @t1)) % 0.51/0.79 (define @t61 () (= @t12 @t2)) % 0.51/0.79 (define @t62 () (or @t43 @t58)) % 0.51/0.79 (define @t63 () (@var "X15" $$unsorted)) % 0.51/0.79 (define @t64 () (@var "X17" $$unsorted)) % 0.51/0.79 (define @t65 () (not (tptp.lt @t64 @t63))) % 0.51/0.79 (define @t66 () (tptp.cons @t64 tptp.nil)) % 0.51/0.79 (define @t67 () (@var "X18" $$unsorted)) % 0.51/0.79 (define @t68 () (tptp.app @t67 @t66)) % 0.51/0.79 (define @t69 () (not (= @t68 @t2))) % 0.51/0.79 (define @t70 () (or @t69 @t65)) % 0.51/0.79 (define @t71 () (tptp.ssList @t67)) % 0.51/0.79 (define @t72 () (=> @t71 @t70)) % 0.51/0.79 (define @t73 () (@list @t67)) % 0.51/0.79 (define @t74 () (forall @t73 @t72)) % 0.51/0.79 (define @t75 () (tptp.ssItem @t64)) % 0.51/0.79 (define @t76 () (=> @t75 @t74)) % 0.51/0.79 (define @t77 () (@list @t64)) % 0.51/0.79 (define @t78 () (forall @t77 @t76)) % 0.51/0.79 (define @t79 () (@var "X10" $$unsorted)) % 0.51/0.79 (define @t80 () (@var "X16" $$unsorted)) % 0.51/0.79 (define @t81 () (tptp.cons @t63 tptp.nil)) % 0.51/0.79 (define @t82 () (tptp.app @t81 @t80)) % 0.51/0.79 (define @t83 () (not (= @t82 @t79))) % 0.51/0.79 (define @t84 () (or @t83 @t78)) % 0.51/0.79 (define @t85 () (tptp.ssList @t80)) % 0.51/0.79 (define @t86 () (=> @t85 @t84)) % 0.51/0.79 (define @t87 () (@list @t80)) % 0.51/0.79 (define @t88 () (forall @t87 @t86)) % 0.51/0.79 (define @t89 () (tptp.ssItem @t63)) % 0.51/0.79 (define @t90 () (=> @t89 @t88)) % 0.51/0.79 (define @t91 () (@list @t63)) % 0.51/0.79 (define @t92 () (forall @t91 @t90)) % 0.51/0.79 (define @t93 () (@var "X13" $$unsorted)) % 0.51/0.79 (define @t94 () (@var "X11" $$unsorted)) % 0.51/0.79 (define @t95 () (not (tptp.lt @t94 @t93))) % 0.51/0.79 (define @t96 () (@var "X14" $$unsorted)) % 0.51/0.79 (define @t97 () (tptp.cons @t93 tptp.nil)) % 0.51/0.79 (define @t98 () (tptp.app @t97 @t96)) % 0.51/0.79 (define @t99 () (not (= @t98 @t2))) % 0.51/0.79 (define @t100 () (or @t99 @t95)) % 0.51/0.79 (define @t101 () (tptp.ssList @t96)) % 0.51/0.79 (define @t102 () (=> @t101 @t100)) % 0.51/0.79 (define @t103 () (@list @t96)) % 0.51/0.79 (define @t104 () (forall @t103 @t102)) % 0.51/0.79 (define @t105 () (tptp.ssItem @t93)) % 0.51/0.79 (define @t106 () (=> @t105 @t104)) % 0.51/0.79 (define @t107 () (@list @t93)) % 0.51/0.79 (define @t108 () (forall @t107 @t106)) % 0.51/0.79 (define @t109 () (@var "X9" $$unsorted)) % 0.51/0.79 (define @t110 () (tptp.cons @t94 tptp.nil)) % 0.51/0.79 (define @t111 () (@var "X12" $$unsorted)) % 0.51/0.79 (define @t112 () (tptp.app @t111 @t110)) % 0.51/0.79 (define @t113 () (not (= @t112 @t109))) % 0.51/0.79 (define @t114 () (or @t113 @t108)) % 0.51/0.79 (define @t115 () (tptp.ssList @t111)) % 0.51/0.79 (define @t116 () (=> @t115 @t114)) % 0.51/0.79 (define @t117 () (@list @t111)) % 0.51/0.79 (define @t118 () (forall @t117 @t116)) % 0.51/0.79 (define @t119 () (tptp.ssItem @t94)) % 0.51/0.79 (define @t120 () (=> @t119 @t118)) % 0.51/0.79 (define @t121 () (@list @t94)) % 0.51/0.79 (define @t122 () (forall @t121 @t120)) % 0.51/0.79 (define @t123 () (tptp.app @t109 @t2)) % 0.51/0.79 (define @t124 () (tptp.app @t123 @t79)) % 0.51/0.79 (define @t125 () (tptp.ssList @t79)) % 0.51/0.79 (define @t126 () (and @t125 (= @t124 @t1) @t122 @t92 @t36)) % 0.51/0.79 (define @t127 () (@list @t79)) % 0.51/0.79 (define @t128 () (exists @t127 @t126)) % 0.51/0.79 (define @t129 () (tptp.ssList @t109)) % 0.51/0.79 (define @t130 () (and @t129 @t128)) % 0.51/0.79 (define @t131 () (@list @t109)) % 0.51/0.79 (define @t132 () (exists @t131 @t130)) % 0.51/0.79 (define @t133 () (and @t132 @t62)) % 0.51/0.79 (define @t134 () (not (= tptp.nil @t10))) % 0.51/0.79 (define @t135 () (and @t134 (= tptp.nil @t12))) % 0.51/0.79 (define @t136 () (@var "X5" $$unsorted)) % 0.51/0.79 (define @t137 () (@var "X7" $$unsorted)) % 0.51/0.79 (define @t138 () (tptp.lt @t137 @t136)) % 0.51/0.79 (define @t139 () (tptp.cons @t137 tptp.nil)) % 0.51/0.79 (define @t140 () (@var "X8" $$unsorted)) % 0.51/0.79 (define @t141 () (tptp.app @t140 @t139)) % 0.51/0.79 (define @t142 () (tptp.ssList @t140)) % 0.51/0.79 (define @t143 () (and @t142 (= @t141 @t12) @t138)) % 0.51/0.79 (define @t144 () (@list @t140)) % 0.51/0.79 (define @t145 () (exists @t144 @t143)) % 0.51/0.79 (define @t146 () (tptp.ssItem @t137)) % 0.51/0.79 (define @t147 () (and @t146 @t145)) % 0.51/0.79 (define @t148 () (@list @t137)) % 0.51/0.79 (define @t149 () (exists @t148 @t147)) % 0.51/0.79 (define @t150 () (@var "X6" $$unsorted)) % 0.51/0.79 (define @t151 () (tptp.cons @t136 tptp.nil)) % 0.51/0.79 (define @t152 () (tptp.app @t151 @t150)) % 0.51/0.79 (define @t153 () (tptp.ssList @t150)) % 0.51/0.79 (define @t154 () (and @t153 (= @t152 @t27) @t149)) % 0.51/0.79 (define @t155 () (@list @t150)) % 0.51/0.79 (define @t156 () (exists @t155 @t154)) % 0.51/0.79 (define @t157 () (tptp.ssItem @t136)) % 0.51/0.79 (define @t158 () (and @t157 @t156)) % 0.51/0.79 (define @t159 () (@list @t136)) % 0.51/0.79 (define @t160 () (exists @t159 @t158)) % 0.51/0.79 (define @t161 () (@var "X3" $$unsorted)) % 0.51/0.79 (define @t162 () (@var "X1" $$unsorted)) % 0.51/0.79 (define @t163 () (tptp.lt @t162 @t161)) % 0.51/0.79 (define @t164 () (@var "X4" $$unsorted)) % 0.51/0.79 (define @t165 () (tptp.cons @t161 tptp.nil)) % 0.51/0.79 (define @t166 () (tptp.app @t165 @t164)) % 0.51/0.79 (define @t167 () (tptp.ssList @t164)) % 0.51/0.79 (define @t168 () (and @t167 (= @t166 @t12) @t163)) % 0.51/0.79 (define @t169 () (@list @t164)) % 0.51/0.79 (define @t170 () (exists @t169 @t168)) % 0.51/0.79 (define @t171 () (tptp.ssItem @t161)) % 0.51/0.79 (define @t172 () (and @t171 @t170)) % 0.51/0.79 (define @t173 () (@list @t161)) % 0.51/0.79 (define @t174 () (exists @t173 @t172)) % 0.51/0.79 (define @t175 () (tptp.cons @t162 tptp.nil)) % 0.51/0.79 (define @t176 () (@var "X2" $$unsorted)) % 0.51/0.79 (define @t177 () (tptp.app @t176 @t175)) % 0.51/0.79 (define @t178 () (tptp.ssList @t176)) % 0.51/0.79 (define @t179 () (and @t178 (= @t177 @t28) @t174)) % 0.51/0.79 (define @t180 () (@list @t176)) % 0.51/0.79 (define @t181 () (exists @t180 @t179)) % 0.51/0.79 (define @t182 () (tptp.ssItem @t162)) % 0.51/0.79 (define @t183 () (and @t182 @t181)) % 0.51/0.79 (define @t184 () (@list @t162)) % 0.51/0.79 (define @t185 () (exists @t184 @t183)) % 0.51/0.79 (define @t186 () (not (tptp.strictorderedP @t12))) % 0.51/0.79 (define @t187 () (tptp.app @t28 @t12)) % 0.51/0.79 (define @t188 () (tptp.app @t187 @t27)) % 0.51/0.79 (define @t189 () (not (= @t188 @t10))) % 0.51/0.79 (define @t190 () (or @t189 @t186 @t185 @t160)) % 0.51/0.79 (define @t191 () (=> @t30 @t190)) % 0.51/0.79 (define @t192 () (forall @t31 @t191)) % 0.51/0.79 (define @t193 () (=> @t32 @t192)) % 0.51/0.79 (define @t194 () (forall @t33 @t193)) % 0.51/0.79 (define @t195 () (not (= @t2 @t12))) % 0.51/0.79 (define @t196 () (not (= @t1 @t10))) % 0.51/0.79 (define @t197 () (or @t196 @t195 @t194 @t135 @t133)) % 0.51/0.79 (define @t198 () (=> @t13 @t197)) % 0.51/0.79 (define @t199 () (forall @t14 @t198)) % 0.51/0.79 (define @t200 () (=> @t15 @t199)) % 0.51/0.79 (define @t201 () (forall @t16 @t200)) % 0.51/0.79 (define @t202 () (=> @t21 @t201)) % 0.51/0.79 (define @t203 () (forall @t7 @t202)) % 0.51/0.79 (define @t204 () (=> @t17 @t203)) % 0.51/0.79 (define @t205 () (forall @t9 @t204)) % 0.51/0.79 (define @t206 () (not @t205)) % 0.51/0.79 (define @t207 () (@var "BOUND_VARIABLE_11677" $$unsorted)) % 0.51/0.79 (define @t208 () (@var "BOUND_VARIABLE_11222" $$unsorted)) % 0.51/0.79 (define @t209 () (tptp.app @t151 @t208)) % 0.51/0.79 (define @t210 () (not (tptp.ssList @t208))) % 0.51/0.79 (define @t211 () (@var "BOUND_VARIABLE_11207" $$unsorted)) % 0.51/0.79 (define @t212 () (@var "BOUND_VARIABLE_11209" $$unsorted)) % 0.51/0.79 (define @t213 () (tptp.app @t212 (tptp.cons @t211 tptp.nil))) % 0.51/0.79 (define @t214 () (not (= @t2 @t213))) % 0.51/0.79 (define @t215 () (not (tptp.ssList @t212))) % 0.51/0.79 (define @t216 () (not (tptp.lt @t211 @t136))) % 0.51/0.79 (define @t217 () (not (tptp.ssItem @t211))) % 0.51/0.79 (define @t218 () (not @t157)) % 0.51/0.79 (define @t219 () (@list @t136 @t211 @t212 @t208)) % 0.51/0.79 (define @t220 () (not (forall @t219 (or @t218 @t217 @t216 @t215 @t214 @t210 (not (= @t209 @t207)))))) % 0.51/0.79 (define @t221 () (not (tptp.ssList @t207))) % 0.51/0.79 (define @t222 () (@var "BOUND_VARIABLE_11675" $$unsorted)) % 0.51/0.79 (define @t223 () (@var "BOUND_VARIABLE_11134" $$unsorted)) % 0.51/0.79 (define @t224 () (tptp.app @t223 @t175)) % 0.51/0.79 (define @t225 () (not (tptp.ssList @t223))) % 0.51/0.79 (define @t226 () (@var "BOUND_VARIABLE_11121" $$unsorted)) % 0.51/0.79 (define @t227 () (@var "BOUND_VARIABLE_11119" $$unsorted)) % 0.51/0.79 (define @t228 () (tptp.app (tptp.cons @t227 tptp.nil) @t226)) % 0.51/0.79 (define @t229 () (not (= @t2 @t228))) % 0.51/0.79 (define @t230 () (not (tptp.ssList @t226))) % 0.51/0.79 (define @t231 () (not (tptp.lt @t162 @t227))) % 0.51/0.79 (define @t232 () (not (tptp.ssItem @t227))) % 0.51/0.79 (define @t233 () (not @t182)) % 0.51/0.79 (define @t234 () (@list @t162 @t227 @t226 @t223)) % 0.51/0.79 (define @t235 () (not (forall @t234 (or @t233 @t232 @t231 @t230 @t229 @t225 (not (= @t224 @t222)))))) % 0.51/0.79 (define @t236 () (not (tptp.ssList @t222))) % 0.51/0.79 (define @t237 () (= @t2 tptp.nil)) % 0.51/0.79 (define @t238 () (tptp.app (tptp.app @t222 @t2) @t207)) % 0.51/0.79 (define @t239 () (= tptp.nil @t238)) % 0.51/0.79 (define @t240 () (and (not @t239) @t237)) % 0.51/0.79 (define @t241 () (not @t237)) % 0.51/0.79 (define @t242 () (@var "BOUND_VARIABLE_11454" $$unsorted)) % 0.51/0.79 (define @t243 () (@var "BOUND_VARIABLE_11414" $$unsorted)) % 0.51/0.79 (define @t244 () (tptp.app @t81 @t243)) % 0.51/0.79 (define @t245 () (not (= @t244 @t242))) % 0.51/0.79 (define @t246 () (not (tptp.ssList @t243))) % 0.51/0.79 (define @t247 () (@var "BOUND_VARIABLE_11399" $$unsorted)) % 0.51/0.79 (define @t248 () (@var "BOUND_VARIABLE_11401" $$unsorted)) % 0.51/0.79 (define @t249 () (tptp.app @t248 (tptp.cons @t247 tptp.nil))) % 0.51/0.79 (define @t250 () (not (= @t2 @t249))) % 0.51/0.79 (define @t251 () (not (tptp.ssList @t248))) % 0.51/0.79 (define @t252 () (not (tptp.lt @t247 @t63))) % 0.51/0.79 (define @t253 () (not (tptp.ssItem @t247))) % 0.51/0.79 (define @t254 () (not @t89)) % 0.51/0.79 (define @t255 () (@list @t63 @t247 @t248 @t243)) % 0.51/0.79 (define @t256 () (not (forall @t255 (or @t254 @t253 @t252 @t251 @t250 @t246 @t245)))) % 0.51/0.79 (define @t257 () (tptp.app @t123 @t242)) % 0.51/0.79 (define @t258 () (not (tptp.ssList @t242))) % 0.51/0.79 (define @t259 () (@var "BOUND_VARIABLE_11341" $$unsorted)) % 0.51/0.79 (define @t260 () (tptp.app @t259 @t110)) % 0.51/0.79 (define @t261 () (not (= @t109 @t260))) % 0.51/0.79 (define @t262 () (not (tptp.ssList @t259))) % 0.51/0.79 (define @t263 () (@var "BOUND_VARIABLE_11328" $$unsorted)) % 0.51/0.79 (define @t264 () (@var "BOUND_VARIABLE_11326" $$unsorted)) % 0.51/0.79 (define @t265 () (tptp.app (tptp.cons @t264 tptp.nil) @t263)) % 0.51/0.79 (define @t266 () (not (= @t2 @t265))) % 0.51/0.79 (define @t267 () (not (tptp.ssList @t263))) % 0.51/0.79 (define @t268 () (not (tptp.lt @t94 @t264))) % 0.51/0.79 (define @t269 () (not (tptp.ssItem @t264))) % 0.51/0.79 (define @t270 () (not @t119)) % 0.51/0.79 (define @t271 () (or @t270 @t269 @t268 @t267 @t266 @t262 @t261)) % 0.51/0.79 (define @t272 () (@list @t94 @t264 @t263 @t259)) % 0.51/0.79 (define @t273 () (forall @t272 @t271)) % 0.51/0.79 (define @t274 () (not @t273)) % 0.51/0.79 (define @t275 () (not @t129)) % 0.51/0.79 (define @t276 () (@list @t109 @t242)) % 0.51/0.79 (define @t277 () (and @t36 (not (forall @t276 (or @t275 @t274 @t258 (not (= @t257 @t238)) @t256))) (or @t241 @t239))) % 0.51/0.79 (define @t278 () (not (tptp.ssList @t238))) % 0.51/0.79 (define @t279 () (not @t36)) % 0.51/0.79 (define @t280 () (not @t17)) % 0.51/0.79 (define @t281 () (or @t280 @t279 @t278 @t277 @t240 @t236 @t235 @t221 @t220)) % 0.51/0.79 (define @t282 () (or @t278 @t277 @t240 @t236 @t235 @t221 @t220)) % 0.51/0.79 (define @t283 () (or @t280 @t279 @t282)) % 0.51/0.79 (define @t284 () (@list @t2 @t222 @t207)) % 0.51/0.79 (define @t285 () (forall @t284 @t283)) % 0.51/0.79 (define @t286 () (@list @t222 @t207)) % 0.51/0.79 (define @t287 () (forall @t286 @t283)) % 0.51/0.79 (define @t288 () (forall @t286 @t282)) % 0.51/0.79 (define @t289 () (@var "BOUND_VARIABLE_11615" $$unsorted)) % 0.51/0.79 (define @t290 () (@var "BOUND_VARIABLE_11613" $$unsorted)) % 0.51/0.79 (define @t291 () (@list @t290 @t289)) % 0.51/0.79 (define @t292 () (or @t280 @t279 @t288)) % 0.51/0.79 (define @t293 () (not (forall @t219 (or @t218 @t217 @t216 @t215 @t214 @t210 (not (= @t209 @t289)))))) % 0.51/0.79 (define @t294 () (not (tptp.ssList @t289))) % 0.51/0.79 (define @t295 () (not (forall @t234 (or @t233 @t232 @t231 @t230 @t229 @t225 (not (= @t224 @t290)))))) % 0.51/0.79 (define @t296 () (not (tptp.ssList @t290))) % 0.51/0.79 (define @t297 () (tptp.app (tptp.app @t290 @t2) @t289)) % 0.51/0.79 (define @t298 () (= tptp.nil @t297)) % 0.51/0.79 (define @t299 () (and (not @t298) @t237)) % 0.51/0.79 (define @t300 () (and @t36 (not (forall @t276 (or @t275 @t274 @t258 (not (= @t257 @t297)) @t256))) (or @t241 @t298))) % 0.51/0.79 (define @t301 () (not (tptp.ssList @t297))) % 0.51/0.79 (define @t302 () (or @t301 @t300 @t299 @t296 @t295 @t294 @t293)) % 0.51/0.79 (define @t303 () (@list @t290 @t289)) % 0.51/0.79 (define @t304 () (or @t280 @t279 (forall @t303 @t302))) % 0.51/0.79 (define @t305 () (not (= @t297 @t297))) % 0.51/0.79 (define @t306 () (= @t297 tptp.nil)) % 0.51/0.79 (define @t307 () (not @t306)) % 0.51/0.79 (define @t308 () (and @t307 @t237)) % 0.51/0.79 (define @t309 () (or @t241 @t306)) % 0.51/0.79 (define @t310 () (not (= @t297 @t257))) % 0.51/0.79 (define @t311 () (or @t275 @t274 @t258 @t310 @t256)) % 0.51/0.79 (define @t312 () (forall @t276 @t311)) % 0.51/0.79 (define @t313 () (not @t312)) % 0.51/0.79 (define @t314 () (and @t36 @t313 @t309)) % 0.51/0.79 (define @t315 () (or @t301 @t314 @t308 @t296 @t295 @t294 @t305 @t293)) % 0.51/0.79 (define @t316 () (not (= @t1 @t297))) % 0.51/0.79 (define @t317 () (= @t1 tptp.nil)) % 0.51/0.79 (define @t318 () (not @t317)) % 0.51/0.79 (define @t319 () (and @t318 @t237)) % 0.51/0.79 (define @t320 () (or @t241 @t317)) % 0.51/0.79 (define @t321 () (not (= @t1 @t257))) % 0.51/0.79 (define @t322 () (forall @t276 (or @t275 @t274 @t258 @t321 @t256))) % 0.51/0.79 (define @t323 () (not @t322)) % 0.51/0.79 (define @t324 () (and @t36 @t323 @t320)) % 0.51/0.79 (define @t325 () (not @t21)) % 0.51/0.79 (define @t326 () (or @t316 @t325 @t324 @t319 @t296 @t295 @t294 @t316 @t293)) % 0.51/0.79 (define @t327 () (or @t325 @t324 @t319 @t296 @t295 @t294 @t316 @t293)) % 0.51/0.79 (define @t328 () (forall @t7 @t327)) % 0.51/0.79 (define @t329 () (forall @t303 @t328)) % 0.51/0.79 (define @t330 () (forall (@list @t290 @t289 @t1) @t327)) % 0.51/0.79 (define @t331 () (@list @t1 @t290 @t289)) % 0.51/0.79 (define @t332 () (or @t296 @t295 @t294 @t316 @t293)) % 0.51/0.79 (define @t333 () (or @t325 @t324 @t319 @t332)) % 0.51/0.79 (define @t334 () (forall @t331 @t333)) % 0.51/0.79 (define @t335 () (forall @t303 @t333)) % 0.51/0.79 (define @t336 () (forall @t303 @t332)) % 0.51/0.79 (define @t337 () (@var "BOUND_VARIABLE_11552" $$unsorted)) % 0.51/0.79 (define @t338 () (@var "BOUND_VARIABLE_11550" $$unsorted)) % 0.51/0.79 (define @t339 () (@list @t338 @t337)) % 0.51/0.79 (define @t340 () (or @t325 @t324 @t319 @t336)) % 0.51/0.79 (define @t341 () (not (= @t209 @t337))) % 0.51/0.79 (define @t342 () (not (forall @t219 (or @t218 @t217 @t216 @t215 @t214 @t210 @t341)))) % 0.51/0.79 (define @t343 () (not (= @t1 (tptp.app (tptp.app @t338 @t2) @t337)))) % 0.51/0.79 (define @t344 () (not (tptp.ssList @t337))) % 0.51/0.79 (define @t345 () (not (= @t224 @t338))) % 0.51/0.79 (define @t346 () (not (forall @t234 (or @t233 @t232 @t231 @t230 @t229 @t225 @t345)))) % 0.51/0.79 (define @t347 () (not (tptp.ssList @t338))) % 0.51/0.79 (define @t348 () (or @t347 @t346 @t344 @t343 @t342)) % 0.51/0.79 (define @t349 () (@list @t338 @t337)) % 0.51/0.79 (define @t350 () (forall @t349 @t348)) % 0.51/0.79 (define @t351 () (or @t325 @t324 @t319 @t350)) % 0.51/0.79 (define @t352 () (forall @t7 @t351)) % 0.51/0.79 (define @t353 () (or @t280 @t279 @t352)) % 0.51/0.79 (define @t354 () (or @t280 @t279 @t351)) % 0.51/0.79 (define @t355 () (or @t325 @t324 @t280 @t279 @t319 @t350)) % 0.51/0.79 (define @t356 () (or @t324 @t325 @t280 @t279 @t319 @t350)) % 0.51/0.79 (define @t357 () (or @t280 @t279 @t319 @t350)) % 0.51/0.79 (define @t358 () (or @t280 @t279 @t319 @t348)) % 0.51/0.79 (define @t359 () (or @t280 @t279 @t319 @t347 @t346 @t344 @t343 @t342)) % 0.51/0.79 (define @t360 () (not (= @t2 @t2))) % 0.51/0.79 (define @t361 () (or @t280 @t360 @t279 @t319 @t347 @t346 @t344 @t343 @t342)) % 0.51/0.79 (define @t362 () (not (= @t12 @t213))) % 0.51/0.79 (define @t363 () (not (forall @t219 (or @t218 @t217 @t216 @t215 @t362 @t210 @t341)))) % 0.51/0.79 (define @t364 () (not (= @t1 (tptp.app (tptp.app @t338 @t12) @t337)))) % 0.51/0.79 (define @t365 () (not (= @t12 @t228))) % 0.51/0.79 (define @t366 () (not (forall @t234 (or @t233 @t232 @t231 @t230 @t365 @t225 @t345)))) % 0.51/0.79 (define @t367 () (= @t12 tptp.nil)) % 0.51/0.79 (define @t368 () (and @t318 @t367)) % 0.51/0.79 (define @t369 () (not @t15)) % 0.51/0.79 (define @t370 () (or @t195 @t369 @t195 @t186 @t368 @t347 @t366 @t344 @t364 @t363)) % 0.51/0.79 (define @t371 () (or @t369 @t195 @t186 @t368 @t347 @t366 @t344 @t364 @t363)) % 0.51/0.79 (define @t372 () (forall @t16 @t371)) % 0.51/0.79 (define @t373 () (forall @t349 @t372)) % 0.51/0.79 (define @t374 () (forall (@list @t338 @t337 @t12) @t371)) % 0.51/0.79 (define @t375 () (@list @t12 @t338 @t337)) % 0.51/0.79 (define @t376 () (or @t347 @t366 @t344 @t364 @t363)) % 0.51/0.79 (define @t377 () (or @t369 @t195 @t186 @t368 @t376)) % 0.51/0.79 (define @t378 () (forall @t375 @t377)) % 0.51/0.79 (define @t379 () (forall @t349 @t377)) % 0.51/0.79 (define @t380 () (forall @t349 @t376)) % 0.51/0.79 (define @t381 () (@var "BOUND_VARIABLE_11497" $$unsorted)) % 0.51/0.79 (define @t382 () (@var "BOUND_VARIABLE_11495" $$unsorted)) % 0.51/0.79 (define @t383 () (@list @t382 @t381)) % 0.51/0.79 (define @t384 () (or @t369 @t195 @t186 @t368 @t380)) % 0.51/0.79 (define @t385 () (not (forall @t219 (or @t218 @t217 @t216 @t215 @t362 @t210 (not (= @t209 @t381)))))) % 0.51/0.79 (define @t386 () (tptp.app (tptp.app @t382 @t12) @t381)) % 0.51/0.79 (define @t387 () (not (= @t1 @t386))) % 0.51/0.79 (define @t388 () (not (tptp.ssList @t381))) % 0.51/0.79 (define @t389 () (not (forall @t234 (or @t233 @t232 @t231 @t230 @t365 @t225 (not (= @t224 @t382)))))) % 0.51/0.79 (define @t390 () (not (tptp.ssList @t382))) % 0.51/0.79 (define @t391 () (or @t390 @t389 @t388 @t387 @t385)) % 0.51/0.79 (define @t392 () (@list @t382 @t381)) % 0.51/0.79 (define @t393 () (forall @t392 @t391)) % 0.51/0.79 (define @t394 () (or @t369 @t195 @t186 @t368 @t393)) % 0.51/0.79 (define @t395 () (forall @t16 @t394)) % 0.51/0.79 (define @t396 () (or @t324 @t325 @t395)) % 0.51/0.79 (define @t397 () (or @t324 @t325 @t394)) % 0.51/0.79 (define @t398 () (or @t369 @t195 @t324 @t186 @t325 @t368 @t393)) % 0.51/0.79 (define @t399 () (or @t195 @t324 @t186 @t325 @t368 @t393)) % 0.51/0.79 (define @t400 () (or @t325 @t368 @t393)) % 0.51/0.79 (define @t401 () (or @t325 @t368 @t391)) % 0.51/0.79 (define @t402 () (or @t325 @t368 @t390 @t389 @t388 @t387 @t385)) % 0.51/0.79 (define @t403 () (not (= @t1 @t1))) % 0.51/0.79 (define @t404 () (or @t325 @t403 @t368 @t390 @t389 @t388 @t387 @t385)) % 0.51/0.79 (define @t405 () (not (= @t10 @t386))) % 0.51/0.79 (define @t406 () (and (not (= @t10 tptp.nil)) @t367)) % 0.51/0.79 (define @t407 () (not @t13)) % 0.51/0.79 (define @t408 () (or @t196 @t407 @t196 @t406 @t390 @t389 @t388 @t405 @t385)) % 0.51/0.79 (define @t409 () (or @t407 @t196 @t406 @t390 @t389 @t388 @t405 @t385)) % 0.51/0.79 (define @t410 () (forall @t14 @t409)) % 0.51/0.79 (define @t411 () (forall @t392 @t410)) % 0.51/0.79 (define @t412 () (forall (@list @t382 @t381 @t10) @t409)) % 0.51/0.79 (define @t413 () (@list @t10 @t382 @t381)) % 0.51/0.79 (define @t414 () (not (= @t382 @t224))) % 0.51/0.79 (define @t415 () (or @t233 @t232 @t231 @t230 @t365 @t225 @t414)) % 0.51/0.79 (define @t416 () (forall @t234 @t415)) % 0.51/0.79 (define @t417 () (not @t416)) % 0.51/0.79 (define @t418 () (or @t407 @t196 @t406 @t390 @t417 @t388 @t405 @t385)) % 0.51/0.79 (define @t419 () (or @t390 @t417 @t388 @t405 @t385)) % 0.51/0.79 (define @t420 () (or @t407 @t196 @t406 @t419)) % 0.51/0.79 (define @t421 () (forall @t413 @t420)) % 0.51/0.79 (define @t422 () (forall @t392 @t420)) % 0.51/0.79 (define @t423 () (forall @t392 @t419)) % 0.51/0.79 (define @t424 () (@var "BOUND_VARIABLE_11251" $$unsorted)) % 0.51/0.79 (define @t425 () (or @t407 @t196 @t406 @t423)) % 0.51/0.79 (define @t426 () (not (= @t10 (tptp.app @t187 @t424)))) % 0.51/0.79 (define @t427 () (not (tptp.ssList @t424))) % 0.51/0.79 (define @t428 () (not (= @t28 @t224))) % 0.51/0.79 (define @t429 () (or @t233 @t232 @t231 @t230 @t365 @t225 @t428)) % 0.51/0.79 (define @t430 () (not (forall @t234 @t429))) % 0.51/0.79 (define @t431 () (not @t32)) % 0.51/0.79 (define @t432 () (@list @t28 @t424)) % 0.51/0.79 (define @t433 () (forall @t432 (or @t431 @t430 @t427 @t426 (not (forall @t219 (or @t218 @t217 @t216 @t215 @t362 @t210 (not (= @t209 @t424)))))))) % 0.51/0.79 (define @t434 () (or @t407 @t196 @t406 @t433)) % 0.51/0.79 (define @t435 () (forall @t14 @t434)) % 0.51/0.79 (define @t436 () (or @t195 @t324 @t186 @t435)) % 0.51/0.79 (define @t437 () (or @t195 @t324 @t186 @t434)) % 0.51/0.79 (define @t438 () (or @t407 @t196 @t195 @t406 @t324 @t186 @t433)) % 0.51/0.79 (define @t439 () (and (not (or @t279 @t322)) @t320)) % 0.51/0.79 (define @t440 () (or @t196 @t195 @t406 @t439 @t186 @t433)) % 0.51/0.79 (define @t441 () (not (= @t242 @t244))) % 0.51/0.79 (define @t442 () (or @t254 @t253 @t252 @t251 @t250 @t246 @t441)) % 0.51/0.79 (define @t443 () (forall @t255 @t442)) % 0.51/0.79 (define @t444 () (not @t443)) % 0.51/0.79 (define @t445 () (or @t275 @t274 @t258 @t321 @t444)) % 0.51/0.79 (define @t446 () (or @t258 @t321 @t444)) % 0.51/0.79 (define @t447 () (or @t275 @t274 @t446)) % 0.51/0.79 (define @t448 () (forall @t276 @t447)) % 0.51/0.79 (define @t449 () (@list @t242)) % 0.51/0.79 (define @t450 () (forall @t449 @t447)) % 0.51/0.79 (define @t451 () (forall @t449 @t446)) % 0.51/0.79 (define @t452 () (or @t275 @t274 @t451)) % 0.51/0.79 (define @t453 () (not (= @t79 @t244))) % 0.51/0.79 (define @t454 () (or @t254 @t253 @t252 @t251 @t250 @t246 @t453)) % 0.51/0.79 (define @t455 () (forall @t255 @t454)) % 0.51/0.79 (define @t456 () (not @t455)) % 0.51/0.79 (define @t457 () (= @t1 @t124)) % 0.51/0.79 (define @t458 () (not @t457)) % 0.51/0.79 (define @t459 () (not @t125)) % 0.51/0.79 (define @t460 () (or @t459 @t458 @t456)) % 0.51/0.79 (define @t461 () (forall @t127 @t460)) % 0.51/0.79 (define @t462 () (or @t275 @t274 @t461)) % 0.51/0.79 (define @t463 () (forall @t131 @t462)) % 0.51/0.79 (define @t464 () (or @t279 @t463)) % 0.51/0.79 (define @t465 () (or @t279 @t462)) % 0.51/0.79 (define @t466 () (or @t275 @t274 @t279 @t461)) % 0.51/0.79 (define @t467 () (or @t274 @t279 @t461)) % 0.51/0.79 (define @t468 () (not @t467)) % 0.51/0.79 (define @t469 () (and @t129 @t468)) % 0.51/0.79 (define @t470 () (forall @t131 (not @t469))) % 0.51/0.79 (define @t471 () (not @t470)) % 0.51/0.79 (define @t472 () (or @t274 @t279 @t460)) % 0.51/0.79 (define @t473 () (or @t459 @t458 @t274 @t456 @t279)) % 0.51/0.79 (define @t474 () (and @t125 @t457 @t273 @t455 @t36)) % 0.51/0.79 (define @t475 () (forall @t127 (not @t474))) % 0.51/0.79 (define @t476 () (not @t475)) % 0.51/0.79 (define @t477 () (or @t246 @t453)) % 0.51/0.79 (define @t478 () (or @t253 @t252 @t251 @t250)) % 0.51/0.79 (define @t479 () (or @t254 @t478 @t477)) % 0.51/0.79 (define @t480 () (forall @t255 @t479)) % 0.51/0.79 (define @t481 () (forall (@list @t247 @t248 @t243) @t479)) % 0.51/0.79 (define @t482 () (forall (@list @t243) @t477)) % 0.51/0.79 (define @t483 () (forall (@list @t247 @t248) @t478)) % 0.51/0.79 (define @t484 () (@var "BOUND_VARIABLE_11372" $$unsorted)) % 0.51/0.79 (define @t485 () (or @t254 @t483 @t482)) % 0.51/0.79 (define @t486 () (not (= @t79 @t82))) % 0.51/0.79 (define @t487 () (not @t85)) % 0.51/0.79 (define @t488 () (or @t487 @t486)) % 0.51/0.79 (define @t489 () (forall @t87 @t488)) % 0.51/0.79 (define @t490 () (not (= @t2 (tptp.app @t484 @t66)))) % 0.51/0.79 (define @t491 () (not (tptp.ssList @t484))) % 0.51/0.79 (define @t492 () (not @t75)) % 0.51/0.79 (define @t493 () (or @t492 @t65 @t491 @t490)) % 0.51/0.79 (define @t494 () (@list @t64 @t484)) % 0.51/0.79 (define @t495 () (forall @t494 @t493)) % 0.51/0.79 (define @t496 () (or @t254 @t495 @t489)) % 0.51/0.79 (define @t497 () (or @t495 @t489)) % 0.51/0.79 (define @t498 () (or @t495 @t488)) % 0.51/0.79 (define @t499 () (or @t487 @t486 @t495)) % 0.51/0.79 (define @t500 () (or @t486 @t495)) % 0.51/0.79 (define @t501 () (or @t491 @t490)) % 0.51/0.79 (define @t502 () (or @t492 @t65 @t501)) % 0.51/0.79 (define @t503 () (forall @t494 @t502)) % 0.51/0.79 (define @t504 () (@list @t484)) % 0.51/0.79 (define @t505 () (forall @t504 @t502)) % 0.51/0.79 (define @t506 () (forall @t504 @t501)) % 0.51/0.79 (define @t507 () (or @t492 @t65 @t506)) % 0.51/0.79 (define @t508 () (not (= @t2 @t68))) % 0.51/0.79 (define @t509 () (not @t71)) % 0.51/0.79 (define @t510 () (or @t509 @t508)) % 0.51/0.79 (define @t511 () (forall @t73 @t510)) % 0.51/0.79 (define @t512 () (or @t492 @t65 @t511)) % 0.51/0.79 (define @t513 () (or @t65 @t511)) % 0.51/0.79 (define @t514 () (or @t65 @t510)) % 0.51/0.79 (define @t515 () (or @t509 @t508 @t65)) % 0.51/0.79 (define @t516 () (or @t508 @t65)) % 0.51/0.79 (define @t517 () (or @t262 @t261)) % 0.51/0.79 (define @t518 () (or @t269 @t268 @t267 @t266)) % 0.51/0.79 (define @t519 () (or @t270 @t518 @t517)) % 0.51/0.79 (define @t520 () (forall @t272 @t519)) % 0.51/0.79 (define @t521 () (forall (@list @t264 @t263 @t259) @t519)) % 0.51/0.79 (define @t522 () (forall (@list @t259) @t517)) % 0.51/0.79 (define @t523 () (forall (@list @t264 @t263) @t518)) % 0.51/0.79 (define @t524 () (@var "BOUND_VARIABLE_11299" $$unsorted)) % 0.51/0.79 (define @t525 () (or @t270 @t523 @t522)) % 0.51/0.79 (define @t526 () (not (= @t109 @t112))) % 0.51/0.79 (define @t527 () (not @t115)) % 0.51/0.79 (define @t528 () (or @t527 @t526)) % 0.51/0.79 (define @t529 () (forall @t117 @t528)) % 0.51/0.79 (define @t530 () (not (= @t2 (tptp.app @t97 @t524)))) % 0.51/0.79 (define @t531 () (not (tptp.ssList @t524))) % 0.51/0.79 (define @t532 () (not @t105)) % 0.51/0.79 (define @t533 () (or @t532 @t95 @t531 @t530)) % 0.51/0.79 (define @t534 () (@list @t93 @t524)) % 0.51/0.79 (define @t535 () (forall @t534 @t533)) % 0.51/0.79 (define @t536 () (or @t270 @t535 @t529)) % 0.51/0.79 (define @t537 () (or @t535 @t529)) % 0.51/0.79 (define @t538 () (or @t535 @t528)) % 0.51/0.79 (define @t539 () (or @t527 @t526 @t535)) % 0.51/0.79 (define @t540 () (or @t526 @t535)) % 0.51/0.79 (define @t541 () (or @t531 @t530)) % 0.51/0.79 (define @t542 () (or @t532 @t95 @t541)) % 0.51/0.79 (define @t543 () (forall @t534 @t542)) % 0.51/0.79 (define @t544 () (@list @t524)) % 0.51/0.79 (define @t545 () (forall @t544 @t542)) % 0.51/0.79 (define @t546 () (forall @t544 @t541)) % 0.51/0.79 (define @t547 () (or @t532 @t95 @t546)) % 0.51/0.79 (define @t548 () (not (= @t2 @t98))) % 0.51/0.79 (define @t549 () (not @t101)) % 0.51/0.79 (define @t550 () (or @t549 @t548)) % 0.51/0.79 (define @t551 () (forall @t103 @t550)) % 0.51/0.79 (define @t552 () (or @t532 @t95 @t551)) % 0.51/0.79 (define @t553 () (or @t95 @t551)) % 0.51/0.79 (define @t554 () (or @t95 @t550)) % 0.51/0.79 (define @t555 () (or @t549 @t548 @t95)) % 0.51/0.79 (define @t556 () (or @t548 @t95)) % 0.51/0.80 (define @t557 () (not (= @t424 @t209))) % 0.51/0.80 (define @t558 () (or @t218 @t217 @t216 @t215 @t362 @t210 @t557)) % 0.51/0.80 (define @t559 () (forall @t219 @t558)) % 0.51/0.80 (define @t560 () (not @t559)) % 0.51/0.80 (define @t561 () (or @t431 @t430 @t427 @t426 @t560)) % 0.51/0.80 (define @t562 () (or @t427 @t426 @t560)) % 0.51/0.80 (define @t563 () (or @t431 @t430 @t562)) % 0.51/0.80 (define @t564 () (forall @t432 @t563)) % 0.51/0.80 (define @t565 () (@list @t424)) % 0.51/0.80 (define @t566 () (forall @t565 @t563)) % 0.51/0.80 (define @t567 () (forall @t565 @t562)) % 0.51/0.80 (define @t568 () (or @t431 @t430 @t567)) % 0.51/0.80 (define @t569 () (not (= @t27 @t209))) % 0.51/0.80 (define @t570 () (or @t218 @t217 @t216 @t215 @t362 @t210 @t569)) % 0.51/0.80 (define @t571 () (not (forall @t219 @t570))) % 0.51/0.80 (define @t572 () (not (= @t10 @t188))) % 0.51/0.80 (define @t573 () (not @t30)) % 0.51/0.80 (define @t574 () (or @t573 @t572 @t571)) % 0.51/0.80 (define @t575 () (forall @t31 @t574)) % 0.51/0.80 (define @t576 () (or @t431 @t430 @t575)) % 0.51/0.80 (define @t577 () (forall @t33 @t576)) % 0.51/0.80 (define @t578 () (or @t186 @t577)) % 0.51/0.80 (define @t579 () (or @t186 @t576)) % 0.51/0.80 (define @t580 () (or @t431 @t186 @t430 @t575)) % 0.51/0.80 (define @t581 () (or @t186 @t430 @t575)) % 0.51/0.80 (define @t582 () (or @t186 @t430 @t574)) % 0.51/0.80 (define @t583 () (or @t573 @t572 @t186 @t430 @t571)) % 0.51/0.80 (define @t584 () (or @t572 @t186 @t430 @t571)) % 0.51/0.80 (define @t585 () (or @t210 @t569)) % 0.51/0.80 (define @t586 () (or @t217 @t216 @t215 @t362)) % 0.51/0.80 (define @t587 () (or @t218 @t586 @t585)) % 0.51/0.80 (define @t588 () (forall @t219 @t587)) % 0.51/0.80 (define @t589 () (forall (@list @t211 @t212 @t208) @t587)) % 0.51/0.80 (define @t590 () (forall (@list @t208) @t585)) % 0.51/0.80 (define @t591 () (forall (@list @t211 @t212) @t586)) % 0.51/0.80 (define @t592 () (@var "BOUND_VARIABLE_11172" $$unsorted)) % 0.51/0.80 (define @t593 () (or @t218 @t591 @t590)) % 0.51/0.80 (define @t594 () (= @t27 @t152)) % 0.51/0.80 (define @t595 () (not @t594)) % 0.51/0.80 (define @t596 () (not @t153)) % 0.51/0.80 (define @t597 () (or @t596 @t595)) % 0.51/0.80 (define @t598 () (forall @t155 @t597)) % 0.51/0.80 (define @t599 () (not (= @t12 (tptp.app @t592 @t139)))) % 0.51/0.80 (define @t600 () (not (tptp.ssList @t592))) % 0.51/0.80 (define @t601 () (not @t138)) % 0.51/0.80 (define @t602 () (not @t146)) % 0.51/0.80 (define @t603 () (or @t602 @t601 @t600 @t599)) % 0.51/0.80 (define @t604 () (@list @t137 @t592)) % 0.51/0.80 (define @t605 () (forall @t604 @t603)) % 0.51/0.80 (define @t606 () (or @t218 @t605 @t598)) % 0.51/0.80 (define @t607 () (or @t605 @t598)) % 0.51/0.80 (define @t608 () (not @t607)) % 0.51/0.80 (define @t609 () (and @t157 @t608)) % 0.51/0.80 (define @t610 () (forall @t159 (not @t609))) % 0.51/0.80 (define @t611 () (not @t610)) % 0.51/0.80 (define @t612 () (or @t605 @t597)) % 0.51/0.80 (define @t613 () (or @t596 @t595 @t605)) % 0.51/0.80 (define @t614 () (not @t605)) % 0.51/0.80 (define @t615 () (not @t614)) % 0.51/0.80 (define @t616 () (or @t596 @t595 @t615)) % 0.51/0.80 (define @t617 () (and @t153 @t594 @t614)) % 0.51/0.80 (define @t618 () (forall @t155 (not @t617))) % 0.51/0.80 (define @t619 () (not @t618)) % 0.51/0.80 (define @t620 () (or @t600 @t599)) % 0.51/0.80 (define @t621 () (or @t602 @t601 @t620)) % 0.51/0.80 (define @t622 () (forall @t604 @t621)) % 0.51/0.80 (define @t623 () (@list @t592)) % 0.51/0.80 (define @t624 () (forall @t623 @t621)) % 0.51/0.80 (define @t625 () (forall @t623 @t620)) % 0.51/0.80 (define @t626 () (or @t602 @t601 @t625)) % 0.51/0.80 (define @t627 () (= @t12 @t141)) % 0.51/0.80 (define @t628 () (not @t627)) % 0.51/0.80 (define @t629 () (not @t142)) % 0.51/0.80 (define @t630 () (or @t629 @t628)) % 0.51/0.80 (define @t631 () (forall @t144 @t630)) % 0.51/0.80 (define @t632 () (or @t602 @t601 @t631)) % 0.51/0.80 (define @t633 () (or @t601 @t631)) % 0.51/0.80 (define @t634 () (not @t633)) % 0.51/0.80 (define @t635 () (and @t146 @t634)) % 0.51/0.80 (define @t636 () (forall @t148 (not @t635))) % 0.51/0.80 (define @t637 () (not @t636)) % 0.51/0.80 (define @t638 () (or @t601 @t630)) % 0.51/0.80 (define @t639 () (or @t629 @t628 @t601)) % 0.51/0.80 (define @t640 () (and @t142 @t627 @t138)) % 0.51/0.80 (define @t641 () (forall @t144 (not @t640))) % 0.51/0.80 (define @t642 () (not @t641)) % 0.51/0.80 (define @t643 () (or @t225 @t428)) % 0.51/0.80 (define @t644 () (or @t232 @t231 @t230 @t365)) % 0.51/0.80 (define @t645 () (or @t233 @t644 @t643)) % 0.51/0.80 (define @t646 () (forall @t234 @t645)) % 0.51/0.80 (define @t647 () (forall (@list @t227 @t226 @t223) @t645)) % 0.51/0.80 (define @t648 () (forall (@list @t223) @t643)) % 0.51/0.80 (define @t649 () (forall (@list @t227 @t226) @t644)) % 0.51/0.80 (define @t650 () (@var "BOUND_VARIABLE_11084" $$unsorted)) % 0.51/0.80 (define @t651 () (or @t233 @t649 @t648)) % 0.51/0.80 (define @t652 () (= @t28 @t177)) % 0.51/0.80 (define @t653 () (not @t652)) % 0.51/0.80 (define @t654 () (not @t178)) % 0.51/0.80 (define @t655 () (or @t654 @t653)) % 0.51/0.80 (define @t656 () (forall @t180 @t655)) % 0.51/0.80 (define @t657 () (not (= @t12 (tptp.app @t165 @t650)))) % 0.51/0.80 (define @t658 () (not (tptp.ssList @t650))) % 0.51/0.80 (define @t659 () (not @t163)) % 0.51/0.80 (define @t660 () (not @t171)) % 0.51/0.80 (define @t661 () (or @t660 @t659 @t658 @t657)) % 0.51/0.80 (define @t662 () (@list @t161 @t650)) % 0.51/0.80 (define @t663 () (forall @t662 @t661)) % 0.51/0.80 (define @t664 () (or @t233 @t663 @t656)) % 0.51/0.80 (define @t665 () (or @t663 @t656)) % 0.51/0.80 (define @t666 () (not @t665)) % 0.51/0.80 (define @t667 () (and @t182 @t666)) % 0.51/0.80 (define @t668 () (forall @t184 (not @t667))) % 0.51/0.80 (define @t669 () (not @t668)) % 0.51/0.80 (define @t670 () (or @t663 @t655)) % 0.51/0.80 (define @t671 () (or @t654 @t653 @t663)) % 0.51/0.80 (define @t672 () (not @t663)) % 0.51/0.80 (define @t673 () (not @t672)) % 0.51/0.80 (define @t674 () (or @t654 @t653 @t673)) % 0.51/0.80 (define @t675 () (and @t178 @t652 @t672)) % 0.51/0.80 (define @t676 () (forall @t180 (not @t675))) % 0.51/0.80 (define @t677 () (not @t676)) % 0.51/0.80 (define @t678 () (or @t658 @t657)) % 0.51/0.80 (define @t679 () (or @t660 @t659 @t678)) % 0.51/0.80 (define @t680 () (forall @t662 @t679)) % 0.51/0.80 (define @t681 () (@list @t650)) % 0.51/0.80 (define @t682 () (forall @t681 @t679)) % 0.51/0.80 (define @t683 () (forall @t681 @t678)) % 0.51/0.80 (define @t684 () (or @t660 @t659 @t683)) % 0.51/0.80 (define @t685 () (= @t12 @t166)) % 0.51/0.80 (define @t686 () (not @t685)) % 0.51/0.80 (define @t687 () (not @t167)) % 0.51/0.80 (define @t688 () (or @t687 @t686)) % 0.51/0.80 (define @t689 () (forall @t169 @t688)) % 0.51/0.80 (define @t690 () (or @t660 @t659 @t689)) % 0.51/0.80 (define @t691 () (or @t659 @t689)) % 0.51/0.80 (define @t692 () (not @t691)) % 0.51/0.80 (define @t693 () (and @t171 @t692)) % 0.51/0.80 (define @t694 () (forall @t173 (not @t693))) % 0.51/0.80 (define @t695 () (not @t694)) % 0.51/0.80 (define @t696 () (or @t659 @t688)) % 0.51/0.80 (define @t697 () (or @t687 @t686 @t659)) % 0.51/0.80 (define @t698 () (and @t167 @t685 @t163)) % 0.51/0.80 (define @t699 () (forall @t169 (not @t698))) % 0.51/0.80 (define @t700 () (not @t699)) % 0.51/0.80 (define @t701 () (forall @t284 @t281)) % 0.51/0.80 (define @t702 () (@quantifiers_skolemize @t701 2)) % 0.51/0.80 (define @t703 () (not (= @t209 @t702))) % 0.51/0.80 (define @t704 () (@quantifiers_skolemize @t701 0)) % 0.51/0.80 (define @t705 () (forall @t219 (or @t218 @t217 @t216 @t215 (not (= @t213 @t704)) @t210 @t703))) % 0.51/0.80 (define @t706 () (not @t705)) % 0.51/0.80 (define @t707 () (tptp.ssList @t702)) % 0.51/0.80 (define @t708 () (not @t707)) % 0.51/0.80 (define @t709 () (@quantifiers_skolemize @t701 1)) % 0.51/0.80 (define @t710 () (not (= @t224 @t709))) % 0.51/0.80 (define @t711 () (forall @t234 (or @t233 @t232 @t231 @t230 (not (= @t228 @t704)) @t225 @t710))) % 0.51/0.80 (define @t712 () (not @t711)) % 0.51/0.80 (define @t713 () (tptp.ssList @t709)) % 0.51/0.80 (define @t714 () (not @t713)) % 0.51/0.80 (define @t715 () (= tptp.nil @t704)) % 0.51/0.80 (define @t716 () (tptp.app (tptp.app @t709 @t704) @t702)) % 0.51/0.80 (define @t717 () (= tptp.nil @t716)) % 0.51/0.80 (define @t718 () (not @t717)) % 0.51/0.80 (define @t719 () (and @t718 @t715)) % 0.51/0.80 (define @t720 () (not @t715)) % 0.51/0.80 (define @t721 () (or @t720 @t717)) % 0.51/0.80 (define @t722 () (not (= @t249 @t704))) % 0.51/0.80 (define @t723 () (tptp.app (tptp.app @t109 @t704) @t242)) % 0.51/0.80 (define @t724 () (not (= @t265 @t704))) % 0.51/0.80 (define @t725 () (forall @t276 (or @t275 (not (forall @t272 (or @t270 @t269 @t268 @t267 @t724 @t262 @t261))) @t258 (not (= @t716 @t723)) (not (forall @t255 (or @t254 @t253 @t252 @t251 @t722 @t246 @t245)))))) % 0.51/0.80 (define @t726 () (not @t725)) % 0.51/0.80 (define @t727 () (tptp.strictorderedP @t704)) % 0.51/0.80 (define @t728 () (and @t727 @t726 @t721)) % 0.51/0.80 (define @t729 () (not (tptp.ssList @t716))) % 0.51/0.80 (define @t730 () (not @t727)) % 0.51/0.80 (define @t731 () (not (tptp.ssList @t704))) % 0.51/0.80 (define @t732 () (or @t731 @t730 @t729 @t728 @t719 @t714 @t712 @t708 @t706)) % 0.51/0.80 (define @t733 () (not @t732)) % 0.51/0.80 (define @t734 () (not @t701)) % 0.51/0.80 (define @t735 () (not (= @t704 @t213))) % 0.51/0.80 (define @t736 () (or @t218 @t217 @t216 @t215 @t735 @t210 @t703)) % 0.51/0.80 (define @t737 () (forall @t219 @t736)) % 0.51/0.80 (define @t738 () (not @t737)) % 0.51/0.80 (define @t739 () (not (= @t704 @t228))) % 0.51/0.80 (define @t740 () (or @t233 @t232 @t231 @t230 @t739 @t225 @t710)) % 0.51/0.80 (define @t741 () (forall @t234 @t740)) % 0.51/0.80 (define @t742 () (not @t741)) % 0.51/0.80 (define @t743 () (= @t704 tptp.nil)) % 0.51/0.80 (define @t744 () (and @t718 @t743)) % 0.51/0.80 (define @t745 () (not @t743)) % 0.51/0.80 (define @t746 () (or @t745 @t717)) % 0.51/0.80 (define @t747 () (not (= @t704 @t249))) % 0.51/0.80 (define @t748 () (or @t254 @t253 @t252 @t251 @t747 @t246 @t245)) % 0.51/0.80 (define @t749 () (forall @t255 @t748)) % 0.51/0.80 (define @t750 () (not @t749)) % 0.51/0.80 (define @t751 () (not (= @t723 @t716))) % 0.51/0.80 (define @t752 () (not (= @t704 @t265))) % 0.51/0.80 (define @t753 () (or @t270 @t269 @t268 @t267 @t752 @t262 @t261)) % 0.51/0.80 (define @t754 () (forall @t272 @t753)) % 0.51/0.80 (define @t755 () (not @t754)) % 0.51/0.80 (define @t756 () (or @t275 @t755 @t258 @t751 @t750)) % 0.51/0.80 (define @t757 () (forall @t276 @t756)) % 0.51/0.80 (define @t758 () (not @t757)) % 0.51/0.80 (define @t759 () (and @t727 @t758 @t746)) % 0.51/0.80 (define @t760 () (or @t731 @t730 @t729 @t759 @t744 @t714 @t742 @t708 @t738)) % 0.51/0.80 (define @t761 () (not @t760)) % 0.51/0.80 (define @t762 () (@list true)) % 0.51/0.80 (define @t763 () (@list @t732)) % 0.51/0.80 (define @t764 () (not @t721)) % 0.51/0.80 (define @t765 () (forall @t255 (or @t254 @t253 @t252 @t251 @t722 @t246 (not (= @t244 @t702))))) % 0.51/0.80 (define @t766 () (not @t765)) % 0.51/0.80 (define @t767 () (forall @t272 (or @t270 @t269 @t268 @t267 @t724 @t262 (not (= @t260 @t709))))) % 0.51/0.80 (define @t768 () (not @t767)) % 0.51/0.80 (define @t769 () (or @t714 @t768 @t708 @t766)) % 0.51/0.80 (define @t770 () (not (= @t716 @t716))) % 0.51/0.80 (define @t771 () (not (= @t709 @t260))) % 0.51/0.80 (define @t772 () (or @t270 @t269 @t268 @t267 @t724 @t262 @t771)) % 0.51/0.80 (define @t773 () (forall @t272 @t772)) % 0.51/0.80 (define @t774 () (not @t773)) % 0.51/0.80 (define @t775 () (or @t714 @t774 @t708 @t770 @t766)) % 0.51/0.80 (define @t776 () (@list false)) % 0.51/0.80 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.51/0.80 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.51/0.80 (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))))))))))) % 0.51/0.80 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.51/0.80 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.51/0.80 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.51/0.80 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.51/0.80 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.51/0.80 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.51/0.80 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.51/0.80 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.51/0.80 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.51/0.80 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t37)))))))))))))))) % 0.51/0.80 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t37))))))))))))) % 0.51/0.80 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.51/0.80 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.51/0.80 (assume @p17 (tptp.ssList tptp.nil)) % 0.51/0.80 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.51/0.80 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t39))))))))))) % 0.51/0.80 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.51/0.80 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.51/0.80 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.51/0.80 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.51/0.80 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.51/0.80 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.51/0.80 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.51/0.80 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.51/0.80 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.51/0.80 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.51/0.80 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.51/0.80 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.51/0.80 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.51/0.80 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.51/0.80 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.51/0.80 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.51/0.80 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.51/0.80 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.51/0.80 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.51/0.80 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.51/0.80 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.51/0.80 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.51/0.80 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.51/0.80 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.51/0.80 (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)))))))))))) % 0.51/0.80 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.51/0.80 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.51/0.80 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.51/0.80 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.51/0.80 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.51/0.80 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t55 @t1))))))))) % 0.51/0.80 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.51/0.80 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.51/0.80 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.51/0.80 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.51/0.80 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.51/0.80 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t55 @t10) @t1))))))))))) % 0.51/0.80 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.51/0.80 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.51/0.80 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t56)))) % 0.51/0.80 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.51/0.80 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t56)))) % 0.51/0.80 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.51/0.80 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t56)))) % 0.51/0.80 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.51/0.80 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t56)))) % 0.51/0.80 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.51/0.80 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t60) (or @t58 (and @t59 (tptp.totalorderedP @t1) (tptp.leq @t2 @t57))))))))) % 0.51/0.80 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t56)))) % 0.51/0.80 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.51/0.80 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t60) (or @t58 (and @t59 (tptp.strictorderedP @t1) (tptp.lt @t2 @t57))))))))) % 0.51/0.80 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t56)))) % 0.51/0.80 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.51/0.80 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t56)))) % 0.51/0.80 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.51/0.80 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.51/0.80 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 0.51/0.80 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t59 @t43 (= @t57 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.51/0.80 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.51/0.80 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t61)))))))) % 0.51/0.80 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t61)))))))) % 0.51/0.80 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 0.51/0.80 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.51/0.80 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t58 @t41))))))) % 0.51/0.80 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.51/0.80 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.51/0.80 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.51/0.80 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 (tptp.geq @t1 @t2)) @t3)))))) % 0.51/0.80 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.51/0.80 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.51/0.80 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.51/0.80 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t35) @t52)))))))) % 0.51/0.80 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t48 (or @t3 @t51))))))) % 0.51/0.80 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 (and @t4 @t48))))))) % 0.51/0.80 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not (tptp.gt @t1 @t2)))))))) % 0.51/0.80 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.51/0.80 (assume @p96 @t206) % 0.51/0.80 (assume @p97 true) % 0.51/0.80 (step @p98 :rule aci_norm :args ((= @t283 @t281))) % 0.51/0.80 (step @p99 :rule cong :premises (@p98) :args (@t285)) % 0.51/0.80 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t287) @t285))) % 0.51/0.80 (step @p101 :rule alpha_equiv :args (@t288 (@list @t222 @t207) @t291)) % 0.51/0.80 (step @p102 :rule refl :args (@t279)) % 0.51/0.80 (step @p103 :rule refl :args (@t280)) % 0.51/0.80 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t292)) % 0.51/0.80 (step @p105 :rule quant-miniscope-or :args ((= @t287 @t292))) % 0.51/0.80 (step @p106 :rule trans :premises (@p105 @p104)) % 0.51/0.80 (step @p107 :rule symm :premises (@p106)) % 0.51/0.80 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t304))) % 0.51/0.80 (step @p109 :rule trans :premises (@p108 @p100)) % 0.51/0.80 (step @p110 :rule trans :premises (@p109 @p99)) % 0.51/0.80 (step @p111 :rule aci_norm :args ((= (or @t280 @t304) @t304))) % 0.51/0.80 (step @p112 :rule bool-impl-elim :args (@t17 @t304)) % 0.51/0.80 (step @p113 :rule trans :premises (@p112 @p111)) % 0.51/0.80 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t304)))) % 0.51/0.80 (step @p115 :rule trans :premises (@p114 @p110)) % 0.51/0.80 (step @p116 :rule aci_norm :args ((= (or @t301 @t300 @t299 @t296 @t295 @t294 false @t293) @t302))) % 0.51/0.80 (step @p117 :rule refl :args (@t293)) % 0.51/0.80 (step @p118 :rule evaluate :args ((not true))) % 0.51/0.80 (step @p119 :rule eq-refl :args (@t297)) % 0.51/0.80 (step @p120 :rule cong :premises (@p119) :args (@t305)) % 0.51/0.80 (step @p121 :rule trans :premises (@p120 @p118)) % 0.51/0.80 (step @p122 :rule refl :args (@t294)) % 0.51/0.80 (step @p123 :rule refl :args (@t295)) % 0.51/0.80 (step @p124 :rule refl :args (@t296)) % 0.51/0.80 (step @p125 :rule refl :args (@t237)) % 0.51/0.80 (step @p126 :rule eq-symm :args (@t297 tptp.nil)) % 0.51/0.80 (step @p127 :rule cong :premises (@p126) :args (@t307)) % 0.51/0.80 (step @p128 :rule nary_cong :premises (@p127 @p125) :args (@t308)) % 0.51/0.80 (step @p129 :rule refl :args (@t241)) % 0.51/0.80 (step @p130 :rule nary_cong :premises (@p129 @p126) :args (@t309)) % 0.51/0.80 (step @p131 :rule refl :args (@t256)) % 0.51/0.80 (step @p132 :rule eq-symm :args (@t297 @t257)) % 0.51/0.80 (step @p133 :rule cong :premises (@p132) :args (@t310)) % 0.51/0.80 (step @p134 :rule refl :args (@t258)) % 0.51/0.80 (step @p135 :rule refl :args (@t274)) % 0.51/0.80 (step @p136 :rule refl :args (@t275)) % 0.51/0.80 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133 @p131) :args (@t311)) % 0.51/0.80 (step @p138 :rule cong :premises (@p137) :args (@t312)) % 0.51/0.80 (step @p139 :rule cong :premises (@p138) :args (@t313)) % 0.51/0.80 (step @p140 :rule refl :args (@t36)) % 0.51/0.80 (step @p141 :rule nary_cong :premises (@p140 @p139 @p130) :args (@t314)) % 0.51/0.80 (step @p142 :rule refl :args (@t301)) % 0.51/0.80 (step @p143 :rule nary_cong :premises (@p142 @p141 @p128 @p124 @p123 @p122 @p121 @p117) :args (@t315)) % 0.51/0.80 (step @p144 :rule trans :premises (@p143 @p116)) % 0.51/0.80 (step @p145 :rule cong :premises (@p144) :args ((forall @t303 @t315))) % 0.51/0.80 (step @p146 :rule quant-var-elim-eq :args ((= (forall @t7 @t326) @t315))) % 0.51/0.80 (step @p147 :rule aci_norm 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(step-pop @p1031 :rule scope :premises (@p1001)) % 0.65/0.80 (step @p1002 :rule process_scope :premises (@p1031) :args (@t775)) % 0.65/0.80 (step @p1004 :rule eq_resolve :premises (@p1002 @p999)) % 0.65/0.80 (step @p1005 :rule implies_elim :premises (@p1004)) % 0.65/0.80 (step @p1006 :rule chain_m_resolution :premises (@p1005 @p984) :args (@t769 @t776 (@list @t725))) % 0.65/0.80 (step @p1007 :rule bool-double-not-elim :args (@t711)) % 0.65/0.80 (step @p1008 :rule nary_cong :premises (@p939 @p1007) :args ((or @t732 (not @t712)))) % 0.65/0.80 (step @p1009 :rule cnf_or_neg :args (@t732 6)) % 0.65/0.80 (step @p1010 :rule eq_resolve :premises (@p1009 @p1008)) % 0.65/0.80 (step @p1011 :rule reordering :premises (@p1010) :args ((or @t711 @t732))) % 0.65/0.80 (step @p1012 :rule chain_m_resolution :premises (@p1011 @p937) :args (@t711 @t762 @t763)) % 0.65/0.80 (step @p1013 :rule alpha_equiv :args (@t711 (@list @t223 @t162 @t227 @t226) (@list @t259 @t94 @t264 @t263))) % 0.65/0.80 (step @p1014 :rule equiv_elim1 :premises (@p1013)) % 0.65/0.80 (step @p1015 :rule chain_m_resolution :premises (@p1014 @p1012) :args (@t767 @t776 (@list @t711))) % 0.65/0.80 (step @p1016 :rule bool-double-not-elim :args (@t705)) % 0.65/0.80 (step @p1017 :rule nary_cong :premises (@p939 @p1016) :args ((or @t732 (not @t706)))) % 0.65/0.80 (step @p1018 :rule cnf_or_neg :args (@t732 8)) % 0.65/0.80 (step @p1019 :rule eq_resolve :premises (@p1018 @p1017)) % 0.65/0.80 (step @p1020 :rule reordering :premises (@p1019) :args ((or @t705 @t732))) % 0.65/0.80 (step @p1021 :rule chain_m_resolution :premises (@p1020 @p937) :args (@t705 @t762 @t763)) % 0.65/0.80 (step @p1022 :rule alpha_equiv :args (@t705 (@list @t212 @t211 @t136 @t208) (@list @t248 @t247 @t63 @t243))) % 0.65/0.80 (step @p1023 :rule equiv_elim1 :premises (@p1022)) % 0.65/0.80 (step @p1024 :rule chain_m_resolution :premises (@p1023 @p1021) :args (@t765 @t776 (@list @t705))) % 0.65/0.80 (step @p1025 :rule cnf_or_pos :args (@t769)) % 0.65/0.80 (step @p1026 :rule reordering :premises (@p1025) :args ((or @t714 @t708 @t766 @t768 (not @t769)))) % 0.65/0.80 (step @p1027 false :rule chain_m_resolution :premises (@p1026 @p1024 @p1015 @p1006 @p950 @p944) :args (false (@list false false false false false) (@list @t765 @t767 @t769 @t707 @t713))) % 0.65/0.80 ) % 0.65/0.80 % SZS output end Proof % 0.65/0.80 % cvc5 exiting %------------------------------------------------------------------------------