%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC343+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 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 0.53s 0.73s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC343+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:42:36 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.73 % SZS status Theorem % 0.53/0.73 % SZS output start Proof % 0.53/0.73 ( % 0.53/0.73 (declare-sort $$unsorted 0) % 0.53/0.73 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.nil $$unsorted) % 0.53/0.73 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (define @t1 () (@var "V" $$unsorted)) % 0.53/0.73 (define @t2 () (@var "U" $$unsorted)) % 0.53/0.73 (define @t3 () (= @t2 @t1)) % 0.53/0.73 (define @t4 () (not @t3)) % 0.53/0.73 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.53/0.73 (define @t6 () (tptp.ssItem @t1)) % 0.53/0.73 (define @t7 () (@list @t1)) % 0.53/0.73 (define @t8 () (tptp.ssItem @t2)) % 0.53/0.73 (define @t9 () (@list @t2)) % 0.53/0.73 (define @t10 () (@var "X" $$unsorted)) % 0.53/0.73 (define @t11 () (tptp.cons @t1 @t10)) % 0.53/0.73 (define @t12 () (@var "W" $$unsorted)) % 0.53/0.73 (define @t13 () (tptp.ssList @t10)) % 0.53/0.73 (define @t14 () (@list @t10)) % 0.53/0.73 (define @t15 () (tptp.ssList @t12)) % 0.53/0.73 (define @t16 () (@list @t12)) % 0.53/0.73 (define @t17 () (tptp.ssList @t2)) % 0.53/0.73 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.53/0.73 (define @t19 () (tptp.app @t1 @t12)) % 0.53/0.73 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.53/0.73 (define @t21 () (tptp.ssList @t1)) % 0.53/0.73 (define @t22 () (tptp.app @t12 @t1)) % 0.53/0.73 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.53/0.73 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.53/0.73 (define @t25 () (tptp.leq @t12 @t1)) % 0.53/0.73 (define @t26 () (tptp.leq @t1 @t12)) % 0.53/0.73 (define @t27 () (@var "Z" $$unsorted)) % 0.53/0.73 (define @t28 () (@var "Y" $$unsorted)) % 0.53/0.73 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.53/0.73 (define @t30 () (tptp.ssList @t27)) % 0.53/0.73 (define @t31 () (@list @t27)) % 0.53/0.73 (define @t32 () (tptp.ssList @t28)) % 0.53/0.73 (define @t33 () (@list @t28)) % 0.53/0.73 (define @t34 () (tptp.ssItem @t12)) % 0.53/0.73 (define @t35 () (tptp.lt @t1 @t12)) % 0.53/0.73 (define @t36 () (tptp.strictorderedP @t2)) % 0.53/0.73 (define @t37 () (= @t1 @t12)) % 0.53/0.73 (define @t38 () (tptp.cons @t1 @t2)) % 0.53/0.73 (define @t39 () (= @t1 @t2)) % 0.53/0.73 (define @t40 () (tptp.cons @t12 @t1)) % 0.53/0.73 (define @t41 () (= tptp.nil @t2)) % 0.53/0.73 (define @t42 () (tptp.hd @t2)) % 0.53/0.73 (define @t43 () (not @t41)) % 0.53/0.73 (define @t44 () (tptp.tl @t2)) % 0.53/0.73 (define @t45 () (tptp.app @t2 @t1)) % 0.53/0.73 (define @t46 () (tptp.app @t1 @t2)) % 0.53/0.73 (define @t47 () (tptp.leq @t1 @t2)) % 0.53/0.73 (define @t48 () (tptp.leq @t2 @t1)) % 0.53/0.73 (define @t49 () (tptp.geq @t2 @t1)) % 0.53/0.73 (define @t50 () (tptp.lt @t1 @t2)) % 0.53/0.73 (define @t51 () (tptp.lt @t2 @t1)) % 0.53/0.73 (define @t52 () (tptp.lt @t2 @t12)) % 0.53/0.73 (define @t53 () (tptp.gt @t2 @t1)) % 0.53/0.73 (define @t54 () (tptp.memberP @t12 @t2)) % 0.53/0.73 (define @t55 () (tptp.app @t12 @t2)) % 0.53/0.73 (define @t56 () (tptp.cons @t2 tptp.nil)) % 0.53/0.73 (define @t57 () (tptp.hd @t1)) % 0.53/0.73 (define @t58 () (= tptp.nil @t1)) % 0.53/0.73 (define @t59 () (not @t58)) % 0.53/0.73 (define @t60 () (tptp.cons @t2 @t1)) % 0.53/0.73 (define @t61 () (= @t12 @t2)) % 0.53/0.73 (define @t62 () (or @t43 @t58)) % 0.53/0.73 (define @t63 () (@var "X5" $$unsorted)) % 0.53/0.73 (define @t64 () (@var "X7" $$unsorted)) % 0.53/0.73 (define @t65 () (not (tptp.lt @t64 @t63))) % 0.53/0.73 (define @t66 () (tptp.cons @t64 tptp.nil)) % 0.53/0.73 (define @t67 () (@var "X8" $$unsorted)) % 0.53/0.73 (define @t68 () (tptp.app @t67 @t66)) % 0.53/0.73 (define @t69 () (not (= @t68 @t2))) % 0.53/0.73 (define @t70 () (or @t69 @t65)) % 0.53/0.73 (define @t71 () (tptp.ssList @t67)) % 0.53/0.73 (define @t72 () (=> @t71 @t70)) % 0.53/0.73 (define @t73 () (@list @t67)) % 0.53/0.73 (define @t74 () (forall @t73 @t72)) % 0.53/0.73 (define @t75 () (tptp.ssItem @t64)) % 0.53/0.73 (define @t76 () (=> @t75 @t74)) % 0.53/0.73 (define @t77 () (@list @t64)) % 0.53/0.73 (define @t78 () (forall @t77 @t76)) % 0.53/0.73 (define @t79 () (@var "X4" $$unsorted)) % 0.53/0.73 (define @t80 () (@var "X6" $$unsorted)) % 0.53/0.73 (define @t81 () (tptp.cons @t63 tptp.nil)) % 0.53/0.73 (define @t82 () (tptp.app @t81 @t80)) % 0.53/0.73 (define @t83 () (not (= @t82 @t79))) % 0.53/0.73 (define @t84 () (or @t83 @t78)) % 0.53/0.73 (define @t85 () (tptp.ssList @t80)) % 0.53/0.73 (define @t86 () (=> @t85 @t84)) % 0.53/0.73 (define @t87 () (@list @t80)) % 0.53/0.73 (define @t88 () (forall @t87 @t86)) % 0.53/0.73 (define @t89 () (tptp.ssItem @t63)) % 0.53/0.73 (define @t90 () (=> @t89 @t88)) % 0.53/0.73 (define @t91 () (@list @t63)) % 0.53/0.73 (define @t92 () (forall @t91 @t90)) % 0.53/0.73 (define @t93 () (tptp.app @t2 @t79)) % 0.53/0.73 (define @t94 () (tptp.ssList @t79)) % 0.53/0.73 (define @t95 () (and @t94 (= @t93 @t1) @t92 @t36)) % 0.53/0.73 (define @t96 () (@list @t79)) % 0.53/0.73 (define @t97 () (exists @t96 @t95)) % 0.53/0.73 (define @t98 () (and @t97 @t62)) % 0.53/0.73 (define @t99 () (not (= tptp.nil @t10))) % 0.53/0.73 (define @t100 () (and @t99 (= tptp.nil @t12))) % 0.53/0.73 (define @t101 () (@var "X2" $$unsorted)) % 0.53/0.73 (define @t102 () (tptp.lt @t101 @t27)) % 0.53/0.73 (define @t103 () (tptp.cons @t101 tptp.nil)) % 0.53/0.73 (define @t104 () (@var "X3" $$unsorted)) % 0.53/0.73 (define @t105 () (tptp.app @t104 @t103)) % 0.53/0.73 (define @t106 () (tptp.ssList @t104)) % 0.53/0.73 (define @t107 () (and @t106 (= @t105 @t12) @t102)) % 0.53/0.73 (define @t108 () (@list @t104)) % 0.53/0.73 (define @t109 () (exists @t108 @t107)) % 0.53/0.73 (define @t110 () (tptp.ssItem @t101)) % 0.53/0.73 (define @t111 () (and @t110 @t109)) % 0.53/0.73 (define @t112 () (@list @t101)) % 0.53/0.73 (define @t113 () (exists @t112 @t111)) % 0.53/0.73 (define @t114 () (@var "X1" $$unsorted)) % 0.53/0.73 (define @t115 () (tptp.cons @t27 tptp.nil)) % 0.53/0.73 (define @t116 () (tptp.app @t115 @t114)) % 0.53/0.73 (define @t117 () (tptp.ssList @t114)) % 0.53/0.73 (define @t118 () (and @t117 (= @t116 @t28) @t113)) % 0.53/0.73 (define @t119 () (@list @t114)) % 0.53/0.73 (define @t120 () (exists @t119 @t118)) % 0.53/0.73 (define @t121 () (tptp.ssItem @t27)) % 0.53/0.73 (define @t122 () (and @t121 @t120)) % 0.53/0.73 (define @t123 () (exists @t31 @t122)) % 0.53/0.73 (define @t124 () (not (tptp.strictorderedP @t12))) % 0.53/0.73 (define @t125 () (tptp.app @t12 @t28)) % 0.53/0.73 (define @t126 () (not (= @t125 @t10))) % 0.53/0.73 (define @t127 () (or @t126 @t124 @t123)) % 0.53/0.73 (define @t128 () (=> @t32 @t127)) % 0.53/0.73 (define @t129 () (forall @t33 @t128)) % 0.53/0.73 (define @t130 () (not (= @t2 @t12))) % 0.53/0.73 (define @t131 () (not (= @t1 @t10))) % 0.53/0.73 (define @t132 () (or @t131 @t130 @t129 @t100 @t98)) % 0.53/0.73 (define @t133 () (=> @t13 @t132)) % 0.53/0.73 (define @t134 () (forall @t14 @t133)) % 0.53/0.73 (define @t135 () (=> @t15 @t134)) % 0.53/0.73 (define @t136 () (forall @t16 @t135)) % 0.53/0.73 (define @t137 () (=> @t21 @t136)) % 0.53/0.73 (define @t138 () (forall @t7 @t137)) % 0.53/0.73 (define @t139 () (=> @t17 @t138)) % 0.53/0.73 (define @t140 () (forall @t9 @t139)) % 0.53/0.73 (define @t141 () (not @t140)) % 0.53/0.73 (define @t142 () (@var "BOUND_VARIABLE_11338" $$unsorted)) % 0.53/0.73 (define @t143 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 0.53/0.73 (define @t144 () (tptp.app @t115 @t143)) % 0.53/0.73 (define @t145 () (not (tptp.ssList @t143))) % 0.53/0.73 (define @t146 () (@var "BOUND_VARIABLE_11049" $$unsorted)) % 0.53/0.73 (define @t147 () (@var "BOUND_VARIABLE_11051" $$unsorted)) % 0.53/0.73 (define @t148 () (tptp.app @t147 (tptp.cons @t146 tptp.nil))) % 0.53/0.73 (define @t149 () (not (= @t2 @t148))) % 0.53/0.73 (define @t150 () (not (tptp.ssList @t147))) % 0.53/0.73 (define @t151 () (not (tptp.lt @t146 @t27))) % 0.53/0.73 (define @t152 () (not (tptp.ssItem @t146))) % 0.53/0.73 (define @t153 () (not @t121)) % 0.53/0.73 (define @t154 () (@list @t27 @t146 @t147 @t143)) % 0.53/0.73 (define @t155 () (not (forall @t154 (or @t153 @t152 @t151 @t150 @t149 @t145 (not (= @t144 @t142)))))) % 0.53/0.73 (define @t156 () (not (tptp.ssList @t142))) % 0.53/0.73 (define @t157 () (= @t2 tptp.nil)) % 0.53/0.73 (define @t158 () (tptp.app @t2 @t142)) % 0.53/0.73 (define @t159 () (= tptp.nil @t158)) % 0.53/0.73 (define @t160 () (and (not @t159) @t157)) % 0.53/0.73 (define @t161 () (not @t157)) % 0.53/0.73 (define @t162 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 0.53/0.73 (define @t163 () (tptp.app @t81 @t162)) % 0.53/0.73 (define @t164 () (not (= @t79 @t163))) % 0.53/0.73 (define @t165 () (not (tptp.ssList @t162))) % 0.53/0.73 (define @t166 () (@var "BOUND_VARIABLE_11136" $$unsorted)) % 0.53/0.73 (define @t167 () (@var "BOUND_VARIABLE_11138" $$unsorted)) % 0.53/0.73 (define @t168 () (tptp.app @t167 (tptp.cons @t166 tptp.nil))) % 0.53/0.73 (define @t169 () (not (= @t2 @t168))) % 0.53/0.73 (define @t170 () (not (tptp.ssList @t167))) % 0.53/0.73 (define @t171 () (not (tptp.lt @t166 @t63))) % 0.53/0.73 (define @t172 () (not (tptp.ssItem @t166))) % 0.53/0.73 (define @t173 () (not @t89)) % 0.53/0.73 (define @t174 () (or @t173 @t172 @t171 @t170 @t169 @t165 @t164)) % 0.53/0.73 (define @t175 () (@list @t63 @t166 @t167 @t162)) % 0.53/0.73 (define @t176 () (forall @t175 @t174)) % 0.53/0.73 (define @t177 () (not @t176)) % 0.53/0.73 (define @t178 () (not @t94)) % 0.53/0.73 (define @t179 () (and @t36 (not (forall @t96 (or @t178 (not (= @t93 @t158)) @t177))) (or @t161 @t159))) % 0.53/0.73 (define @t180 () (not (tptp.ssList @t158))) % 0.53/0.73 (define @t181 () (not @t36)) % 0.53/0.73 (define @t182 () (not @t17)) % 0.53/0.73 (define @t183 () (or @t182 @t181 @t180 @t179 @t160 @t156 @t155)) % 0.53/0.73 (define @t184 () (or @t180 @t179 @t160 @t156 @t155)) % 0.53/0.73 (define @t185 () (or @t182 @t181 @t184)) % 0.53/0.73 (define @t186 () (@list @t2 @t142)) % 0.53/0.73 (define @t187 () (forall @t186 @t185)) % 0.53/0.73 (define @t188 () (@list @t142)) % 0.53/0.73 (define @t189 () (forall @t188 @t185)) % 0.53/0.73 (define @t190 () (forall @t188 @t184)) % 0.53/0.73 (define @t191 () (@var "BOUND_VARIABLE_11286" $$unsorted)) % 0.53/0.73 (define @t192 () (@list @t191)) % 0.53/0.73 (define @t193 () (or @t182 @t181 @t190)) % 0.53/0.73 (define @t194 () (not (forall @t154 (or @t153 @t152 @t151 @t150 @t149 @t145 (not (= @t144 @t191)))))) % 0.53/0.73 (define @t195 () (not (tptp.ssList @t191))) % 0.53/0.73 (define @t196 () (tptp.app @t2 @t191)) % 0.53/0.73 (define @t197 () (= tptp.nil @t196)) % 0.53/0.73 (define @t198 () (and (not @t197) @t157)) % 0.53/0.73 (define @t199 () (and @t36 (not (forall @t96 (or @t178 (not (= @t93 @t196)) @t177))) (or @t161 @t197))) % 0.53/0.73 (define @t200 () (not (tptp.ssList @t196))) % 0.53/0.73 (define @t201 () (or @t200 @t199 @t198 @t195 @t194)) % 0.53/0.73 (define @t202 () (@list @t191)) % 0.53/0.73 (define @t203 () (or @t182 @t181 (forall @t202 @t201))) % 0.53/0.73 (define @t204 () (not (= @t196 @t196))) % 0.53/0.73 (define @t205 () (= @t196 tptp.nil)) % 0.53/0.73 (define @t206 () (not @t205)) % 0.53/0.73 (define @t207 () (and @t206 @t157)) % 0.53/0.73 (define @t208 () (or @t161 @t205)) % 0.53/0.73 (define @t209 () (not (= @t196 @t93))) % 0.53/0.73 (define @t210 () (or @t178 @t209 @t177)) % 0.53/0.73 (define @t211 () (forall @t96 @t210)) % 0.53/0.73 (define @t212 () (not @t211)) % 0.53/0.73 (define @t213 () (and @t36 @t212 @t208)) % 0.53/0.73 (define @t214 () (or @t200 @t213 @t207 @t195 @t204 @t194)) % 0.53/0.73 (define @t215 () (not (= @t1 @t196))) % 0.53/0.73 (define @t216 () (= @t1 tptp.nil)) % 0.53/0.73 (define @t217 () (not @t216)) % 0.53/0.73 (define @t218 () (and @t217 @t157)) % 0.53/0.73 (define @t219 () (or @t161 @t216)) % 0.53/0.73 (define @t220 () (= @t1 @t93)) % 0.53/0.73 (define @t221 () (not @t220)) % 0.53/0.73 (define @t222 () (or @t178 @t221 @t177)) % 0.53/0.73 (define @t223 () (forall @t96 @t222)) % 0.53/0.73 (define @t224 () (not @t223)) % 0.53/0.73 (define @t225 () (and @t36 @t224 @t219)) % 0.53/0.73 (define @t226 () (not @t21)) % 0.53/0.73 (define @t227 () (or @t215 @t226 @t225 @t218 @t195 @t215 @t194)) % 0.53/0.73 (define @t228 () (or @t226 @t225 @t218 @t195 @t215 @t194)) % 0.53/0.73 (define @t229 () (forall @t7 @t228)) % 0.53/0.73 (define @t230 () (forall @t202 @t229)) % 0.53/0.73 (define @t231 () (forall (@list @t191 @t1) @t228)) % 0.53/0.73 (define @t232 () (@list @t1 @t191)) % 0.53/0.73 (define @t233 () (or @t195 @t215 @t194)) % 0.53/0.73 (define @t234 () (or @t226 @t225 @t218 @t233)) % 0.53/0.73 (define @t235 () (forall @t232 @t234)) % 0.53/0.73 (define @t236 () (forall @t202 @t234)) % 0.53/0.73 (define @t237 () (forall @t202 @t233)) % 0.53/0.73 (define @t238 () (@var "BOUND_VARIABLE_11239" $$unsorted)) % 0.53/0.73 (define @t239 () (@list @t238)) % 0.53/0.73 (define @t240 () (or @t226 @t225 @t218 @t237)) % 0.53/0.73 (define @t241 () (not (= @t144 @t238))) % 0.53/0.73 (define @t242 () (not (forall @t154 (or @t153 @t152 @t151 @t150 @t149 @t145 @t241)))) % 0.53/0.73 (define @t243 () (not (= @t1 (tptp.app @t2 @t238)))) % 0.53/0.73 (define @t244 () (not (tptp.ssList @t238))) % 0.53/0.73 (define @t245 () (or @t244 @t243 @t242)) % 0.53/0.73 (define @t246 () (@list @t238)) % 0.53/0.73 (define @t247 () (forall @t246 @t245)) % 0.53/0.73 (define @t248 () (or @t226 @t225 @t218 @t247)) % 0.53/0.73 (define @t249 () (forall @t7 @t248)) % 0.53/0.73 (define @t250 () (or @t182 @t181 @t249)) % 0.53/0.73 (define @t251 () (or @t182 @t181 @t248)) % 0.53/0.73 (define @t252 () (or @t226 @t225 @t182 @t181 @t218 @t247)) % 0.53/0.73 (define @t253 () (or @t225 @t226 @t182 @t181 @t218 @t247)) % 0.53/0.73 (define @t254 () (or @t182 @t181 @t218 @t247)) % 0.53/0.73 (define @t255 () (or @t182 @t181 @t218 @t245)) % 0.53/0.73 (define @t256 () (or @t182 @t181 @t218 @t244 @t243 @t242)) % 0.53/0.73 (define @t257 () (not (= @t2 @t2))) % 0.53/0.73 (define @t258 () (or @t182 @t257 @t181 @t218 @t244 @t243 @t242)) % 0.53/0.73 (define @t259 () (not (= @t12 @t148))) % 0.53/0.73 (define @t260 () (not (forall @t154 (or @t153 @t152 @t151 @t150 @t259 @t145 @t241)))) % 0.53/0.73 (define @t261 () (not (= @t1 (tptp.app @t12 @t238)))) % 0.53/0.73 (define @t262 () (= @t12 tptp.nil)) % 0.53/0.73 (define @t263 () (and @t217 @t262)) % 0.53/0.73 (define @t264 () (not @t15)) % 0.53/0.73 (define @t265 () (or @t130 @t264 @t130 @t124 @t263 @t244 @t261 @t260)) % 0.53/0.73 (define @t266 () (or @t264 @t130 @t124 @t263 @t244 @t261 @t260)) % 0.53/0.73 (define @t267 () (forall @t16 @t266)) % 0.53/0.73 (define @t268 () (forall @t246 @t267)) % 0.53/0.73 (define @t269 () (forall (@list @t238 @t12) @t266)) % 0.53/0.73 (define @t270 () (@list @t12 @t238)) % 0.53/0.73 (define @t271 () (or @t244 @t261 @t260)) % 0.53/0.73 (define @t272 () (or @t264 @t130 @t124 @t263 @t271)) % 0.53/0.73 (define @t273 () (forall @t270 @t272)) % 0.53/0.73 (define @t274 () (forall @t246 @t272)) % 0.53/0.73 (define @t275 () (forall @t246 @t271)) % 0.53/0.73 (define @t276 () (@var "BOUND_VARIABLE_11194" $$unsorted)) % 0.53/0.73 (define @t277 () (@list @t276)) % 0.53/0.73 (define @t278 () (or @t264 @t130 @t124 @t263 @t275)) % 0.53/0.73 (define @t279 () (not (forall @t154 (or @t153 @t152 @t151 @t150 @t259 @t145 (not (= @t144 @t276)))))) % 0.53/0.73 (define @t280 () (tptp.app @t12 @t276)) % 0.53/0.73 (define @t281 () (not (= @t1 @t280))) % 0.53/0.73 (define @t282 () (not (tptp.ssList @t276))) % 0.53/0.73 (define @t283 () (or @t282 @t281 @t279)) % 0.53/0.73 (define @t284 () (@list @t276)) % 0.53/0.73 (define @t285 () (forall @t284 @t283)) % 0.53/0.73 (define @t286 () (or @t264 @t130 @t124 @t263 @t285)) % 0.53/0.73 (define @t287 () (forall @t16 @t286)) % 0.53/0.73 (define @t288 () (or @t225 @t226 @t287)) % 0.53/0.73 (define @t289 () (or @t225 @t226 @t286)) % 0.53/0.73 (define @t290 () (or @t264 @t130 @t225 @t124 @t226 @t263 @t285)) % 0.53/0.73 (define @t291 () (or @t130 @t225 @t124 @t226 @t263 @t285)) % 0.53/0.73 (define @t292 () (or @t226 @t263 @t285)) % 0.53/0.73 (define @t293 () (or @t226 @t263 @t283)) % 0.53/0.73 (define @t294 () (or @t226 @t263 @t282 @t281 @t279)) % 0.53/0.73 (define @t295 () (not (= @t1 @t1))) % 0.53/0.73 (define @t296 () (or @t226 @t295 @t263 @t282 @t281 @t279)) % 0.53/0.73 (define @t297 () (not (= @t10 @t280))) % 0.53/0.73 (define @t298 () (and (not (= @t10 tptp.nil)) @t262)) % 0.53/0.73 (define @t299 () (not @t13)) % 0.53/0.73 (define @t300 () (or @t131 @t299 @t131 @t298 @t282 @t297 @t279)) % 0.53/0.73 (define @t301 () (or @t299 @t131 @t298 @t282 @t297 @t279)) % 0.53/0.73 (define @t302 () (forall @t14 @t301)) % 0.53/0.73 (define @t303 () (forall @t284 @t302)) % 0.53/0.73 (define @t304 () (forall (@list @t276 @t10) @t301)) % 0.53/0.73 (define @t305 () (@list @t10 @t276)) % 0.53/0.73 (define @t306 () (not (= @t276 @t144))) % 0.53/0.73 (define @t307 () (or @t153 @t152 @t151 @t150 @t259 @t145 @t306)) % 0.53/0.73 (define @t308 () (forall @t154 @t307)) % 0.53/0.73 (define @t309 () (not @t308)) % 0.53/0.73 (define @t310 () (or @t299 @t131 @t298 @t282 @t297 @t309)) % 0.53/0.73 (define @t311 () (or @t282 @t297 @t309)) % 0.53/0.73 (define @t312 () (or @t299 @t131 @t298 @t311)) % 0.53/0.73 (define @t313 () (forall @t305 @t312)) % 0.53/0.73 (define @t314 () (forall @t284 @t312)) % 0.53/0.73 (define @t315 () (forall @t284 @t311)) % 0.53/0.73 (define @t316 () (or @t299 @t131 @t298 @t315)) % 0.53/0.73 (define @t317 () (not (= @t28 @t144))) % 0.53/0.73 (define @t318 () (or @t153 @t152 @t151 @t150 @t259 @t145 @t317)) % 0.53/0.73 (define @t319 () (not (forall @t154 @t318))) % 0.53/0.73 (define @t320 () (not (= @t10 @t125))) % 0.53/0.73 (define @t321 () (not @t32)) % 0.53/0.73 (define @t322 () (or @t321 @t320 @t319)) % 0.53/0.73 (define @t323 () (forall @t33 @t322)) % 0.53/0.73 (define @t324 () (or @t299 @t131 @t298 @t323)) % 0.53/0.73 (define @t325 () (forall @t14 @t324)) % 0.53/0.73 (define @t326 () (or @t130 @t225 @t124 @t325)) % 0.53/0.73 (define @t327 () (or @t130 @t225 @t124 @t324)) % 0.53/0.73 (define @t328 () (or @t299 @t131 @t130 @t298 @t225 @t124 @t323)) % 0.53/0.73 (define @t329 () (or @t181 @t223)) % 0.53/0.73 (define @t330 () (and (not @t329) @t219)) % 0.53/0.73 (define @t331 () (or @t131 @t130 @t298 @t330 @t124 @t323)) % 0.53/0.73 (define @t332 () (or @t124 @t323)) % 0.53/0.73 (define @t333 () (or @t181 @t222)) % 0.53/0.73 (define @t334 () (or @t178 @t221 @t177 @t181)) % 0.53/0.73 (define @t335 () (and @t94 @t220 @t176 @t36)) % 0.53/0.73 (define @t336 () (forall @t96 (not @t335))) % 0.53/0.73 (define @t337 () (not @t336)) % 0.53/0.73 (define @t338 () (or @t165 @t164)) % 0.53/0.73 (define @t339 () (or @t172 @t171 @t170 @t169)) % 0.53/0.73 (define @t340 () (or @t173 @t339 @t338)) % 0.53/0.73 (define @t341 () (forall @t175 @t340)) % 0.53/0.73 (define @t342 () (forall (@list @t166 @t167 @t162) @t340)) % 0.53/0.73 (define @t343 () (forall (@list @t162) @t338)) % 0.53/0.73 (define @t344 () (forall (@list @t166 @t167) @t339)) % 0.53/0.73 (define @t345 () (@var "BOUND_VARIABLE_11109" $$unsorted)) % 0.53/0.73 (define @t346 () (or @t173 @t344 @t343)) % 0.53/0.73 (define @t347 () (not (= @t79 @t82))) % 0.53/0.73 (define @t348 () (not @t85)) % 0.53/0.73 (define @t349 () (or @t348 @t347)) % 0.53/0.73 (define @t350 () (forall @t87 @t349)) % 0.53/0.73 (define @t351 () (not (= @t2 (tptp.app @t345 @t66)))) % 0.53/0.73 (define @t352 () (not (tptp.ssList @t345))) % 0.53/0.73 (define @t353 () (not @t75)) % 0.53/0.73 (define @t354 () (or @t353 @t65 @t352 @t351)) % 0.53/0.73 (define @t355 () (@list @t64 @t345)) % 0.53/0.73 (define @t356 () (forall @t355 @t354)) % 0.53/0.73 (define @t357 () (or @t173 @t356 @t350)) % 0.53/0.73 (define @t358 () (or @t356 @t350)) % 0.53/0.73 (define @t359 () (or @t356 @t349)) % 0.53/0.73 (define @t360 () (or @t348 @t347 @t356)) % 0.53/0.73 (define @t361 () (or @t347 @t356)) % 0.53/0.73 (define @t362 () (or @t352 @t351)) % 0.53/0.73 (define @t363 () (or @t353 @t65 @t362)) % 0.53/0.73 (define @t364 () (forall @t355 @t363)) % 0.53/0.73 (define @t365 () (@list @t345)) % 0.53/0.73 (define @t366 () (forall @t365 @t363)) % 0.53/0.73 (define @t367 () (forall @t365 @t362)) % 0.53/0.73 (define @t368 () (or @t353 @t65 @t367)) % 0.53/0.73 (define @t369 () (not (= @t2 @t68))) % 0.53/0.73 (define @t370 () (not @t71)) % 0.53/0.73 (define @t371 () (or @t370 @t369)) % 0.53/0.73 (define @t372 () (forall @t73 @t371)) % 0.53/0.73 (define @t373 () (or @t353 @t65 @t372)) % 0.53/0.73 (define @t374 () (or @t65 @t372)) % 0.53/0.73 (define @t375 () (or @t65 @t371)) % 0.53/0.73 (define @t376 () (or @t370 @t369 @t65)) % 0.53/0.73 (define @t377 () (or @t369 @t65)) % 0.53/0.73 (define @t378 () (or @t124 @t322)) % 0.53/0.73 (define @t379 () (or @t321 @t320 @t124 @t319)) % 0.53/0.73 (define @t380 () (or @t320 @t124 @t319)) % 0.53/0.73 (define @t381 () (or @t145 @t317)) % 0.53/0.73 (define @t382 () (or @t152 @t151 @t150 @t259)) % 0.53/0.73 (define @t383 () (or @t153 @t382 @t381)) % 0.53/0.73 (define @t384 () (forall @t154 @t383)) % 0.53/0.73 (define @t385 () (forall (@list @t146 @t147 @t143) @t383)) % 0.53/0.73 (define @t386 () (forall (@list @t143) @t381)) % 0.53/0.73 (define @t387 () (forall (@list @t146 @t147) @t382)) % 0.53/0.73 (define @t388 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 0.53/0.73 (define @t389 () (or @t153 @t387 @t386)) % 0.53/0.73 (define @t390 () (= @t28 @t116)) % 0.53/0.73 (define @t391 () (not @t390)) % 0.53/0.73 (define @t392 () (not @t117)) % 0.53/0.73 (define @t393 () (or @t392 @t391)) % 0.53/0.73 (define @t394 () (forall @t119 @t393)) % 0.53/0.73 (define @t395 () (not (= @t12 (tptp.app @t388 @t103)))) % 0.53/0.73 (define @t396 () (not (tptp.ssList @t388))) % 0.53/0.73 (define @t397 () (not @t102)) % 0.53/0.73 (define @t398 () (not @t110)) % 0.53/0.73 (define @t399 () (or @t398 @t397 @t396 @t395)) % 0.53/0.73 (define @t400 () (@list @t101 @t388)) % 0.53/0.73 (define @t401 () (forall @t400 @t399)) % 0.53/0.73 (define @t402 () (or @t153 @t401 @t394)) % 0.53/0.73 (define @t403 () (or @t401 @t394)) % 0.53/0.73 (define @t404 () (not @t403)) % 0.53/0.73 (define @t405 () (and @t121 @t404)) % 0.53/0.73 (define @t406 () (forall @t31 (not @t405))) % 0.53/0.73 (define @t407 () (not @t406)) % 0.53/0.73 (define @t408 () (or @t401 @t393)) % 0.53/0.73 (define @t409 () (or @t392 @t391 @t401)) % 0.53/0.73 (define @t410 () (not @t401)) % 0.53/0.73 (define @t411 () (not @t410)) % 0.53/0.73 (define @t412 () (or @t392 @t391 @t411)) % 0.53/0.73 (define @t413 () (and @t117 @t390 @t410)) % 0.53/0.73 (define @t414 () (forall @t119 (not @t413))) % 0.53/0.73 (define @t415 () (not @t414)) % 0.53/0.73 (define @t416 () (or @t396 @t395)) % 0.53/0.73 (define @t417 () (or @t398 @t397 @t416)) % 0.53/0.73 (define @t418 () (forall @t400 @t417)) % 0.53/0.73 (define @t419 () (@list @t388)) % 0.53/0.73 (define @t420 () (forall @t419 @t417)) % 0.53/0.73 (define @t421 () (forall @t419 @t416)) % 0.53/0.73 (define @t422 () (or @t398 @t397 @t421)) % 0.53/0.73 (define @t423 () (= @t12 @t105)) % 0.53/0.73 (define @t424 () (not @t423)) % 0.53/0.73 (define @t425 () (not @t106)) % 0.53/0.73 (define @t426 () (or @t425 @t424)) % 0.53/0.73 (define @t427 () (forall @t108 @t426)) % 0.53/0.73 (define @t428 () (or @t398 @t397 @t427)) % 0.53/0.73 (define @t429 () (or @t397 @t427)) % 0.53/0.73 (define @t430 () (not @t429)) % 0.53/0.73 (define @t431 () (and @t110 @t430)) % 0.53/0.73 (define @t432 () (forall @t112 (not @t431))) % 0.53/0.73 (define @t433 () (not @t432)) % 0.53/0.73 (define @t434 () (or @t397 @t426)) % 0.53/0.73 (define @t435 () (or @t425 @t424 @t397)) % 0.53/0.73 (define @t436 () (and @t106 @t423 @t102)) % 0.53/0.73 (define @t437 () (forall @t108 (not @t436))) % 0.53/0.73 (define @t438 () (not @t437)) % 0.53/0.73 (define @t439 () (forall @t186 @t183)) % 0.53/0.73 (define @t440 () (@quantifiers_skolemize @t439 1)) % 0.53/0.73 (define @t441 () (not (= @t144 @t440))) % 0.53/0.73 (define @t442 () (@quantifiers_skolemize @t439 0)) % 0.53/0.73 (define @t443 () (forall @t154 (or @t153 @t152 @t151 @t150 (not (= @t148 @t442)) @t145 @t441))) % 0.53/0.73 (define @t444 () (not @t443)) % 0.53/0.73 (define @t445 () (tptp.ssList @t440)) % 0.53/0.73 (define @t446 () (not @t445)) % 0.53/0.73 (define @t447 () (= tptp.nil @t442)) % 0.53/0.73 (define @t448 () (tptp.app @t442 @t440)) % 0.53/0.73 (define @t449 () (= tptp.nil @t448)) % 0.53/0.73 (define @t450 () (not @t449)) % 0.53/0.73 (define @t451 () (and @t450 @t447)) % 0.53/0.73 (define @t452 () (not @t447)) % 0.53/0.73 (define @t453 () (or @t452 @t449)) % 0.53/0.73 (define @t454 () (not (= @t168 @t442))) % 0.53/0.73 (define @t455 () (tptp.app @t442 @t79)) % 0.53/0.73 (define @t456 () (forall @t96 (or @t178 (not (= @t448 @t455)) (not (forall @t175 (or @t173 @t172 @t171 @t170 @t454 @t165 @t164)))))) % 0.53/0.73 (define @t457 () (not @t456)) % 0.53/0.73 (define @t458 () (tptp.strictorderedP @t442)) % 0.53/0.73 (define @t459 () (and @t458 @t457 @t453)) % 0.53/0.73 (define @t460 () (not (tptp.ssList @t448))) % 0.53/0.73 (define @t461 () (not @t458)) % 0.53/0.73 (define @t462 () (not (tptp.ssList @t442))) % 0.53/0.73 (define @t463 () (or @t462 @t461 @t460 @t459 @t451 @t446 @t444)) % 0.53/0.73 (define @t464 () (not @t463)) % 0.53/0.73 (define @t465 () (not @t439)) % 0.53/0.73 (define @t466 () (not (= @t442 @t148))) % 0.53/0.73 (define @t467 () (or @t153 @t152 @t151 @t150 @t466 @t145 @t441)) % 0.53/0.73 (define @t468 () (forall @t154 @t467)) % 0.53/0.73 (define @t469 () (not @t468)) % 0.53/0.73 (define @t470 () (= @t442 tptp.nil)) % 0.53/0.73 (define @t471 () (and @t450 @t470)) % 0.53/0.73 (define @t472 () (not @t470)) % 0.53/0.73 (define @t473 () (or @t472 @t449)) % 0.53/0.73 (define @t474 () (not (= @t442 @t168))) % 0.53/0.73 (define @t475 () (or @t173 @t172 @t171 @t170 @t474 @t165 @t164)) % 0.53/0.73 (define @t476 () (forall @t175 @t475)) % 0.53/0.73 (define @t477 () (not @t476)) % 0.53/0.73 (define @t478 () (not (= @t455 @t448))) % 0.53/0.73 (define @t479 () (or @t178 @t478 @t477)) % 0.53/0.73 (define @t480 () (forall @t96 @t479)) % 0.53/0.73 (define @t481 () (not @t480)) % 0.53/0.73 (define @t482 () (and @t458 @t481 @t473)) % 0.53/0.73 (define @t483 () (or @t462 @t461 @t460 @t482 @t471 @t446 @t469)) % 0.53/0.73 (define @t484 () (not @t483)) % 0.53/0.73 (define @t485 () (@list true)) % 0.53/0.73 (define @t486 () (@list @t463)) % 0.53/0.73 (define @t487 () (forall @t175 (or @t173 @t172 @t171 @t170 @t454 @t165 (not (= @t163 @t440))))) % 0.53/0.73 (define @t488 () (@list false)) % 0.53/0.73 (define @t489 () (not @t453)) % 0.53/0.73 (define @t490 () (not @t487)) % 0.53/0.73 (define @t491 () (or @t446 @t490)) % 0.53/0.73 (define @t492 () (not (= @t440 @t163))) % 0.53/0.73 (define @t493 () (or @t173 @t172 @t171 @t170 @t454 @t165 @t492)) % 0.53/0.73 (define @t494 () (forall @t175 @t493)) % 0.53/0.73 (define @t495 () (not @t494)) % 0.53/0.73 (define @t496 () (not (= @t448 @t448))) % 0.53/0.73 (define @t497 () (or @t446 @t496 @t495)) % 0.53/0.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.53/0.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.53/0.73 (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))))))))))) % 0.53/0.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.53/0.73 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.53/0.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.53/0.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.53/0.73 (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))))))))))))))))) % 0.53/0.73 (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)))))))))))))))) % 0.53/0.73 (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))))))))))))))))) % 0.53/0.73 (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))))))))))))))) % 0.53/0.73 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.53/0.73 (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)))))))))))))))) % 0.53/0.73 (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))))))))))))) % 0.53/0.73 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.53/0.73 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.53/0.73 (assume @p17 (tptp.ssList tptp.nil)) % 0.53/0.73 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.53/0.73 (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))))))))))) % 0.53/0.73 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.53/0.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.53/0.73 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.53/0.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.53/0.73 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.53/0.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.53/0.73 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.53/0.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.53/0.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.53/0.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.53/0.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.53/0.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.53/0.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.53/0.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.53/0.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.53/0.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.53/0.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.53/0.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.53/0.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.53/0.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.53/0.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.53/0.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.53/0.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.53/0.73 (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)))))))))))) % 0.53/0.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.53/0.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.53/0.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.53/0.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.53/0.73 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t55 @t1))))))))) % 0.53/0.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.53/0.73 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.53/0.73 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.53/0.73 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.53/0.73 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t55 @t10) @t1))))))))))) % 0.53/0.73 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.53/0.73 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.53/0.73 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t56)))) % 0.53/0.73 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.53/0.73 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t56)))) % 0.53/0.73 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.53/0.73 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t56)))) % 0.53/0.73 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.53/0.73 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t56)))) % 0.53/0.73 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.53/0.73 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t60) (or @t58 (and @t59 (tptp.totalorderedP @t1) (tptp.leq @t2 @t57))))))))) % 0.53/0.73 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t56)))) % 0.53/0.73 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.53/0.73 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t60) (or @t58 (and @t59 (tptp.strictorderedP @t1) (tptp.lt @t2 @t57))))))))) % 0.53/0.73 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t56)))) % 0.53/0.73 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.53/0.73 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t56)))) % 0.53/0.73 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.53/0.73 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.53/0.73 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 0.53/0.73 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t59 @t43 (= @t57 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.53/0.73 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.53/0.73 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t61)))))))) % 0.53/0.73 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t61)))))))) % 0.53/0.73 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 0.53/0.73 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.53/0.73 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t58 @t41))))))) % 0.53/0.73 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.53/0.73 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.53/0.73 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.53/0.73 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 (tptp.geq @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.53/0.73 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.53/0.73 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.53/0.73 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t35) @t52)))))))) % 0.53/0.73 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t48 (or @t3 @t51))))))) % 0.53/0.73 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 (and @t4 @t48))))))) % 0.53/0.73 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not (tptp.gt @t1 @t2)))))))) % 0.53/0.73 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.53/0.73 (assume @p96 @t141) % 0.53/0.73 (assume @p97 true) % 0.53/0.73 (step @p98 :rule aci_norm :args ((= @t185 @t183))) % 0.53/0.73 (step @p99 :rule cong :premises (@p98) :args (@t187)) % 0.53/0.73 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t189) @t187))) % 0.53/0.73 (step @p101 :rule alpha_equiv :args (@t190 (@list @t142) @t192)) % 0.53/0.73 (step @p102 :rule refl :args (@t181)) % 0.53/0.73 (step @p103 :rule refl :args (@t182)) % 0.53/0.73 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t193)) % 0.53/0.73 (step @p105 :rule quant-miniscope-or :args ((= @t189 @t193))) % 0.53/0.73 (step @p106 :rule trans :premises (@p105 @p104)) % 0.53/0.73 (step @p107 :rule symm :premises (@p106)) % 0.53/0.73 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t203))) % 0.53/0.73 (step @p109 :rule trans :premises (@p108 @p100)) % 0.53/0.73 (step @p110 :rule trans :premises (@p109 @p99)) % 0.53/0.73 (step @p111 :rule aci_norm :args ((= (or @t182 @t203) @t203))) % 0.53/0.73 (step @p112 :rule bool-impl-elim :args (@t17 @t203)) % 0.53/0.73 (step @p113 :rule trans :premises (@p112 @p111)) % 0.53/0.73 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t203)))) % 0.53/0.73 (step @p115 :rule trans :premises (@p114 @p110)) % 0.53/0.73 (step @p116 :rule aci_norm :args ((= (or @t200 @t199 @t198 @t195 false @t194) @t201))) % 0.53/0.73 (step @p117 :rule refl :args (@t194)) % 0.53/0.73 (step @p118 :rule evaluate :args ((not true))) % 0.53/0.73 (step @p119 :rule eq-refl :args (@t196)) % 0.53/0.73 (step @p120 :rule cong :premises (@p119) :args (@t204)) % 0.53/0.73 (step @p121 :rule trans :premises (@p120 @p118)) % 0.53/0.73 (step @p122 :rule refl :args (@t195)) % 0.53/0.73 (step @p123 :rule refl :args (@t157)) % 0.53/0.73 (step @p124 :rule eq-symm :args (@t196 tptp.nil)) % 0.53/0.73 (step @p125 :rule cong :premises (@p124) :args (@t206)) % 0.53/0.73 (step @p126 :rule nary_cong :premises (@p125 @p123) :args (@t207)) % 0.53/0.73 (step @p127 :rule refl :args (@t161)) % 0.53/0.73 (step @p128 :rule nary_cong :premises (@p127 @p124) :args (@t208)) % 0.53/0.73 (step @p129 :rule refl :args (@t177)) % 0.53/0.73 (step @p130 :rule eq-symm :args (@t196 @t93)) % 0.53/0.73 (step @p131 :rule cong :premises (@p130) :args (@t209)) % 0.53/0.73 (step @p132 :rule refl :args (@t178)) % 0.53/0.73 (step @p133 :rule nary_cong :premises (@p132 @p131 @p129) :args (@t210)) % 0.53/0.73 (step @p134 :rule cong :premises (@p133) :args (@t211)) % 0.53/0.73 (step @p135 :rule cong :premises (@p134) :args (@t212)) % 0.53/0.73 (step @p136 :rule refl :args (@t36)) % 0.53/0.73 (step @p137 :rule nary_cong :premises (@p136 @p135 @p128) :args (@t213)) % 0.53/0.73 (step @p138 :rule refl :args (@t200)) % 0.53/0.73 (step @p139 :rule nary_cong :premises (@p138 @p137 @p126 @p122 @p121 @p117) :args (@t214)) % 0.53/0.73 (step @p140 :rule trans :premises (@p139 @p116)) % 0.53/0.73 (step @p141 :rule cong :premises (@p140) :args ((forall @t202 @t214))) % 0.53/0.73 (step @p142 :rule quant-var-elim-eq :args ((= (forall @t7 @t227) @t214))) % 0.53/0.73 (step @p143 :rule aci_norm :args ((= @t228 @t227))) % 0.53/0.73 (step @p144 :rule cong :premises (@p143) :args (@t229)) % 0.53/0.73 (step @p145 :rule trans :premises (@p144 @p142)) % 0.53/0.73 (step @p146 :rule cong :premises (@p145) :args (@t230)) % 0.53/0.73 (step @p147 :rule 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(step @p644 :rule bool-double-not-elim :args (@t443)) % 0.53/0.73 (step @p645 :rule nary_cong :premises (@p638 @p644) :args ((or @t463 (not @t444)))) % 0.53/0.73 (step @p646 :rule cnf_or_neg :args (@t463 6)) % 0.53/0.73 (step @p647 :rule eq_resolve :premises (@p646 @p645)) % 0.53/0.73 (step @p648 :rule reordering :premises (@p647) :args ((or @t443 @t463))) % 0.53/0.73 (step @p649 :rule chain_m_resolution :premises (@p648 @p636) :args (@t443 @t485 @t486)) % 0.53/0.73 (step @p650 :rule alpha_equiv :args (@t443 (@list @t147 @t146 @t27 @t143) (@list @t167 @t166 @t63 @t162))) % 0.53/0.73 (step @p651 :rule equiv_elim1 :premises (@p650)) % 0.53/0.73 (step @p652 :rule chain_m_resolution :premises (@p651 @p649) :args (@t487 @t488 (@list @t443))) % 0.53/0.73 (step @p653 :rule bool-double-not-elim :args (@t447)) % 0.53/0.73 (step @p654 :rule refl :args (@t453)) % 0.53/0.73 (step @p655 :rule nary_cong :premises (@p654 @p653) :args ((or @t453 (not @t452)))) % 0.53/0.73 (step @p656 :rule cnf_or_neg :args (@t453 0)) % 0.53/0.73 (step @p657 :rule eq_resolve :premises (@p656 @p655)) % 0.53/0.73 (step @p658 :rule reordering :premises (@p657) :args ((or @t447 @t453))) % 0.53/0.73 (step @p659 :rule cnf_or_neg :args (@t453 1)) % 0.53/0.73 (step @p660 :rule reordering :premises (@p659) :args ((or @t450 @t453))) % 0.53/0.73 (step @p661 :rule cnf_or_neg :args (@t463 4)) % 0.53/0.73 (step @p662 :rule chain_m_resolution :premises (@p661 @p636) :args ((not @t451) @t485 @t486)) % 0.53/0.73 (step @p663 :rule refl :args (@t452)) % 0.53/0.73 (step @p664 :rule bool-double-not-elim :args (@t449)) % 0.53/0.73 (step @p665 :rule refl :args (@t451)) % 0.53/0.73 (step @p666 :rule nary_cong :premises (@p665 @p664 @p663) :args ((or @t451 (not @t450) @t452))) % 0.53/0.73 (step @p667 :rule cnf_and_neg :args (@t451)) % 0.53/0.73 (step @p668 :rule eq_resolve :premises (@p667 @p666)) % 0.53/0.73 (step @p669 :rule reordering :premises (@p668) :args ((or @t449 @t452 @t451))) % 0.53/0.73 (step @p670 :rule chain_m_resolution :premises (@p669 @p662 @p660 @p658) :args (@t453 (@list true true false) (@list @t451 @t449 @t447))) % 0.53/0.73 (step @p671 :rule cnf_or_neg :args (@t463 3)) % 0.53/0.73 (step @p672 :rule chain_m_resolution :premises (@p671 @p636) :args ((not @t459) @t485 @t486)) % 0.53/0.73 (step @p673 :rule bool-double-not-elim :args (@t458)) % 0.53/0.73 (step @p674 :rule nary_cong :premises (@p638 @p673) :args ((or @t463 (not @t461)))) % 0.53/0.73 (step @p675 :rule cnf_or_neg :args (@t463 1)) % 0.53/0.73 (step @p676 :rule eq_resolve :premises (@p675 @p674)) % 0.53/0.73 (step @p677 :rule reordering :premises (@p676) :args ((or @t458 @t463))) % 0.53/0.73 (step @p678 :rule chain_m_resolution :premises (@p677 @p636) :args (@t458 @t485 @t486)) % 0.53/0.73 (step @p679 :rule refl :args (@t489)) % 0.53/0.73 (step @p680 :rule bool-double-not-elim :args (@t456)) % 0.53/0.73 (step @p681 :rule refl :args (@t459)) % 0.53/0.73 (step @p682 :rule nary_cong :premises (@p681 @p623 @p680 @p679) :args ((or @t459 @t461 (not @t457) @t489))) % 0.53/0.73 (step @p683 :rule cnf_and_neg :args (@t459)) % 0.53/0.73 (step @p684 :rule eq_resolve :premises (@p683 @p682)) % 0.53/0.73 (step @p685 :rule reordering :premises (@p684) :args ((or @t461 @t456 @t459 @t489))) % 0.53/0.73 (step @p686 :rule chain_m_resolution :premises (@p685 @p678 @p672 @p670) :args (@t456 (@list false true false) (@list @t458 @t459 @t453))) % 0.53/0.73 (step @p687 :rule aci_norm :args ((= (or @t446 false @t490) @t491))) % 0.53/0.73 (step @p688 :rule eq-symm :args (@t440 @t163)) % 0.53/0.73 (step @p689 :rule cong :premises (@p688) :args (@t492)) % 0.53/0.73 (step @p690 :rule refl :args (@t454)) % 0.53/0.73 (step @p691 :rule nary_cong :premises (@p611 @p610 @p609 @p608 @p690 @p605 @p689) :args (@t493)) % 0.53/0.73 (step @p692 :rule cong :premises (@p691) :args (@t494)) % 0.53/0.73 (step @p693 :rule cong :premises (@p692) :args (@t495)) % 0.53/0.73 (step @p694 :rule eq-refl :args (@t448)) % 0.53/0.73 (step @p695 :rule cong :premises (@p694) :args (@t496)) % 0.53/0.73 (step @p696 :rule trans :premises (@p695 @p118)) % 0.53/0.73 (step @p697 :rule nary_cong :premises (@p597 @p696 @p693) :args (@t497)) % 0.53/0.73 (step @p698 :rule trans :premises (@p697 @p687)) % 0.53/0.73 (step @p699 :rule refl :args (@t456)) % 0.53/0.73 (step @p700 :rule cong :premises (@p699 @p698) :args ((=> @t456 @t497))) % 0.53/0.73 (assume-push @p713 @t456) % 0.53/0.73 (step @p702 :rule instantiate :premises (@p686) :args ((@list @t440))) % 0.53/0.73 (step-pop @p714 :rule scope :premises (@p702)) % 0.53/0.73 (step @p703 :rule process_scope :premises (@p714) :args (@t497)) % 0.53/0.73 (step @p705 :rule eq_resolve :premises (@p703 @p700)) % 0.53/0.73 (step @p706 :rule implies_elim :premises (@p705)) % 0.53/0.73 (step @p707 :rule chain_m_resolution :premises (@p706 @p686) :args (@t491 @t488 (@list @t456))) % 0.53/0.73 (step @p708 :rule cnf_or_pos :args (@t491)) % 0.53/0.73 (step @p709 :rule reordering :premises (@p708) :args ((or @t446 @t490 (not @t491)))) % 0.53/0.73 (step @p710 false :rule chain_m_resolution :premises (@p709 @p707 @p652 @p643) :args (false (@list false false false) (@list @t491 @t487 @t445))) % 0.53/0.73 ) % 0.53/0.73 % SZS output end Proof % 0.53/0.73 % cvc5 exiting %------------------------------------------------------------------------------