%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC345+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 : n007.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 08:58:57 AM UTC 2026 % Result : Theorem 51.14s 51.34s % Output : Proof 51.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC345+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 % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:41:56 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 51.14/51.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 51.14/51.34 --- Run --no-e-matching --full-saturate-quant at 6... % 51.14/51.34 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 51.14/51.34 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 51.14/51.34 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 51.14/51.34 % SZS status Theorem % 51.14/51.34 % SZS output start Proof % 51.14/51.34 ( % 51.14/51.34 (declare-sort $$unsorted 0) % 51.14/51.34 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 51.14/51.34 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 51.14/51.34 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 51.14/51.34 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 51.14/51.34 (declare-const tptp.nil $$unsorted) % 51.14/51.34 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.ssList (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 51.14/51.34 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 51.14/51.34 (define @t1 () (@var "V" $$unsorted)) % 51.14/51.34 (define @t2 () (@var "U" $$unsorted)) % 51.14/51.34 (define @t3 () (= @t2 @t1)) % 51.14/51.34 (define @t4 () (not @t3)) % 51.14/51.34 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 51.14/51.34 (define @t6 () (tptp.ssItem @t1)) % 51.14/51.34 (define @t7 () (@list @t1)) % 51.14/51.34 (define @t8 () (tptp.ssItem @t2)) % 51.14/51.34 (define @t9 () (@list @t2)) % 51.14/51.34 (define @t10 () (and @t6 @t4)) % 51.14/51.34 (define @t11 () (exists @t7 @t10)) % 51.14/51.34 (define @t12 () (and @t8 @t11)) % 51.14/51.34 (define @t13 () (exists @t9 @t12)) % 51.14/51.34 (define @t14 () (@var "X" $$unsorted)) % 51.14/51.34 (define @t15 () (tptp.cons @t1 @t14)) % 51.14/51.34 (define @t16 () (@var "W" $$unsorted)) % 51.14/51.34 (define @t17 () (tptp.app @t16 @t15)) % 51.14/51.34 (define @t18 () (tptp.ssList @t14)) % 51.14/51.34 (define @t19 () (and @t18 (= @t17 @t2))) % 51.14/51.34 (define @t20 () (@list @t14)) % 51.14/51.34 (define @t21 () (exists @t20 @t19)) % 51.14/51.34 (define @t22 () (tptp.ssList @t16)) % 51.14/51.34 (define @t23 () (and @t22 @t21)) % 51.14/51.34 (define @t24 () (@list @t16)) % 51.14/51.34 (define @t25 () (exists @t24 @t23)) % 51.14/51.34 (define @t26 () (tptp.memberP @t2 @t1)) % 51.14/51.34 (define @t27 () (= @t26 @t25)) % 51.14/51.34 (define @t28 () (=> @t6 @t27)) % 51.14/51.34 (define @t29 () (forall @t7 @t28)) % 51.14/51.34 (define @t30 () (tptp.ssList @t2)) % 51.14/51.34 (define @t31 () (=> @t30 @t29)) % 51.14/51.34 (define @t32 () (forall @t9 @t31)) % 51.14/51.34 (define @t33 () (tptp.cons @t1 tptp.nil)) % 51.14/51.34 (define @t34 () (tptp.app @t1 @t16)) % 51.14/51.34 (define @t35 () (and @t22 (= @t34 @t2))) % 51.14/51.34 (define @t36 () (exists @t24 @t35)) % 51.14/51.34 (define @t37 () (tptp.frontsegP @t2 @t1)) % 51.14/51.34 (define @t38 () (= @t37 @t36)) % 51.14/51.34 (define @t39 () (tptp.ssList @t1)) % 51.14/51.34 (define @t40 () (=> @t39 @t38)) % 51.14/51.34 (define @t41 () (forall @t7 @t40)) % 51.14/51.34 (define @t42 () (=> @t30 @t41)) % 51.14/51.34 (define @t43 () (forall @t9 @t42)) % 51.14/51.34 (define @t44 () (tptp.app @t16 @t1)) % 51.14/51.34 (define @t45 () (tptp.rearsegP @t2 @t1)) % 51.14/51.34 (define @t46 () (tptp.app @t44 @t14)) % 51.14/51.34 (define @t47 () (and @t18 (= @t46 @t2))) % 51.14/51.34 (define @t48 () (exists @t20 @t47)) % 51.14/51.34 (define @t49 () (and @t22 @t48)) % 51.14/51.34 (define @t50 () (exists @t24 @t49)) % 51.14/51.34 (define @t51 () (tptp.segmentP @t2 @t1)) % 51.14/51.34 (define @t52 () (= @t51 @t50)) % 51.14/51.34 (define @t53 () (=> @t39 @t52)) % 51.14/51.34 (define @t54 () (forall @t7 @t53)) % 51.14/51.34 (define @t55 () (=> @t30 @t54)) % 51.14/51.34 (define @t56 () (forall @t9 @t55)) % 51.14/51.34 (define @t57 () (tptp.leq @t16 @t1)) % 51.14/51.34 (define @t58 () (tptp.leq @t1 @t16)) % 51.14/51.34 (define @t59 () (@var "Z" $$unsorted)) % 51.14/51.34 (define @t60 () (@var "Y" $$unsorted)) % 51.14/51.34 (define @t61 () (= (tptp.app (tptp.app @t14 (tptp.cons @t1 @t60)) (tptp.cons @t16 @t59)) @t2)) % 51.14/51.34 (define @t62 () (tptp.ssList @t59)) % 51.14/51.34 (define @t63 () (@list @t59)) % 51.14/51.34 (define @t64 () (tptp.ssList @t60)) % 51.14/51.34 (define @t65 () (@list @t60)) % 51.14/51.34 (define @t66 () (tptp.ssItem @t16)) % 51.14/51.34 (define @t67 () (tptp.lt @t1 @t16)) % 51.14/51.34 (define @t68 () (tptp.strictorderedP @t2)) % 51.14/51.34 (define @t69 () (= @t1 @t16)) % 51.14/51.34 (define @t70 () (tptp.cons @t1 @t2)) % 51.14/51.34 (define @t71 () (tptp.ssList @t70)) % 51.14/51.34 (define @t72 () (forall @t7 (=> @t6 @t71))) % 51.14/51.34 (define @t73 () (=> @t30 @t72)) % 51.14/51.34 (define @t74 () (forall @t9 @t73)) % 51.14/51.34 (define @t75 () (tptp.ssList tptp.nil)) % 51.14/51.34 (define @t76 () (not (= @t70 @t2))) % 51.14/51.34 (define @t77 () (=> @t6 @t76)) % 51.14/51.34 (define @t78 () (forall @t7 @t77)) % 51.14/51.34 (define @t79 () (=> @t30 @t78)) % 51.14/51.34 (define @t80 () (forall @t9 @t79)) % 51.14/51.34 (define @t81 () (= @t1 @t2)) % 51.14/51.34 (define @t82 () (tptp.cons @t16 @t1)) % 51.14/51.34 (define @t83 () (= tptp.nil @t2)) % 51.14/51.34 (define @t84 () (tptp.hd @t2)) % 51.14/51.34 (define @t85 () (not @t83)) % 51.14/51.34 (define @t86 () (tptp.tl @t2)) % 51.14/51.34 (define @t87 () (tptp.tl @t70)) % 51.14/51.34 (define @t88 () (=> @t6 (= @t87 @t2))) % 51.14/51.34 (define @t89 () (forall @t7 @t88)) % 51.14/51.34 (define @t90 () (=> @t30 @t89)) % 51.14/51.34 (define @t91 () (forall @t9 @t90)) % 51.14/51.34 (define @t92 () (tptp.app @t2 @t1)) % 51.14/51.34 (define @t93 () (tptp.app @t1 @t2)) % 51.14/51.34 (define @t94 () (tptp.app tptp.nil @t2)) % 51.14/51.34 (define @t95 () (=> @t30 (= @t94 @t2))) % 51.14/51.34 (define @t96 () (forall @t9 @t95)) % 51.14/51.34 (define @t97 () (tptp.leq @t1 @t2)) % 51.14/51.34 (define @t98 () (tptp.leq @t2 @t1)) % 51.14/51.34 (define @t99 () (tptp.geq @t2 @t1)) % 51.14/51.34 (define @t100 () (tptp.lt @t1 @t2)) % 51.14/51.34 (define @t101 () (tptp.lt @t2 @t1)) % 51.14/51.34 (define @t102 () (tptp.lt @t2 @t16)) % 51.14/51.34 (define @t103 () (tptp.gt @t2 @t1)) % 51.14/51.34 (define @t104 () (tptp.memberP @t16 @t2)) % 51.14/51.34 (define @t105 () (tptp.frontsegP @t2 @t2)) % 51.14/51.34 (define @t106 () (forall @t9 (=> @t30 @t105))) % 51.14/51.34 (define @t107 () (tptp.app @t16 @t2)) % 51.14/51.34 (define @t108 () (tptp.segmentP @t1 @t2)) % 51.14/51.34 (define @t109 () (tptp.segmentP @t2 @t2)) % 51.14/51.34 (define @t110 () (forall @t9 (=> @t30 @t109))) % 51.14/51.34 (define @t111 () (tptp.segmentP (tptp.app @t107 @t14) @t1)) % 51.14/51.34 (define @t112 () (=> @t51 @t111)) % 51.14/51.34 (define @t113 () (forall @t20 (=> @t18 @t112))) % 51.14/51.34 (define @t114 () (=> @t22 @t113)) % 51.14/51.34 (define @t115 () (forall @t24 @t114)) % 51.14/51.34 (define @t116 () (=> @t39 @t115)) % 51.14/51.34 (define @t117 () (forall @t7 @t116)) % 51.14/51.34 (define @t118 () (=> @t30 @t117)) % 51.14/51.34 (define @t119 () (forall @t9 @t118)) % 51.14/51.34 (define @t120 () (tptp.cons @t2 tptp.nil)) % 51.14/51.34 (define @t121 () (tptp.hd @t1)) % 51.14/51.34 (define @t122 () (= tptp.nil @t1)) % 51.14/51.34 (define @t123 () (not @t122)) % 51.14/51.34 (define @t124 () (tptp.cons @t2 @t1)) % 51.14/51.34 (define @t125 () (tptp.strictorderedP @t120)) % 51.14/51.34 (define @t126 () (forall @t9 (=> @t8 @t125))) % 51.14/51.34 (define @t127 () (tptp.strictorderedP tptp.nil)) % 51.14/51.34 (define @t128 () (= @t16 @t2)) % 51.14/51.34 (define @t129 () (= @t34 @t93)) % 51.14/51.34 (define @t130 () (=> @t129 @t128)) % 51.14/51.34 (define @t131 () (=> @t22 @t130)) % 51.14/51.34 (define @t132 () (forall @t24 @t131)) % 51.14/51.34 (define @t133 () (=> @t39 @t132)) % 51.14/51.34 (define @t134 () (forall @t7 @t133)) % 51.14/51.34 (define @t135 () (=> @t30 @t134)) % 51.14/51.34 (define @t136 () (forall @t9 @t135)) % 51.14/51.34 (define @t137 () (= @t70 (tptp.app @t33 @t2))) % 51.14/51.34 (define @t138 () (forall @t7 (=> @t6 @t137))) % 51.14/51.34 (define @t139 () (=> @t30 @t138)) % 51.14/51.34 (define @t140 () (forall @t9 @t139)) % 51.14/51.34 (define @t141 () (and @t122 @t83)) % 51.14/51.34 (define @t142 () (= tptp.nil @t92)) % 51.14/51.34 (define @t143 () (= @t142 @t141)) % 51.14/51.34 (define @t144 () (=> @t39 @t143)) % 51.14/51.34 (define @t145 () (forall @t7 @t144)) % 51.14/51.34 (define @t146 () (=> @t30 @t145)) % 51.14/51.34 (define @t147 () (forall @t9 @t146)) % 51.14/51.34 (define @t148 () (tptp.app @t2 tptp.nil)) % 51.14/51.34 (define @t149 () (=> @t30 (= @t148 @t2))) % 51.14/51.34 (define @t150 () (forall @t9 @t149)) % 51.14/51.34 (define @t151 () (and @t108 @t68)) % 51.14/51.34 (define @t152 () (not (= tptp.nil @t16))) % 51.14/51.34 (define @t153 () (not (= tptp.nil @t14))) % 51.14/51.34 (define @t154 () (or @t153 @t152)) % 51.14/51.34 (define @t155 () (tptp.leq @t60 @t59)) % 51.14/51.34 (define @t156 () (tptp.memberP @t14 @t59)) % 51.14/51.34 (define @t157 () (= @t60 @t59)) % 51.14/51.34 (define @t158 () (not @t157)) % 51.14/51.34 (define @t159 () (tptp.ssItem @t59)) % 51.14/51.34 (define @t160 () (and @t159 @t158 @t156 @t155)) % 51.14/51.34 (define @t161 () (exists @t63 @t160)) % 51.14/51.34 (define @t162 () (not (tptp.memberP @t14 @t60))) % 51.14/51.34 (define @t163 () (tptp.cons @t60 tptp.nil)) % 51.14/51.34 (define @t164 () (not (= @t163 @t16))) % 51.14/51.34 (define @t165 () (or @t164 @t162 @t161)) % 51.14/51.34 (define @t166 () (tptp.ssItem @t60)) % 51.14/51.34 (define @t167 () (=> @t166 @t165)) % 51.14/51.34 (define @t168 () (forall @t65 @t167)) % 51.14/51.34 (define @t169 () (and @t168 @t154)) % 51.14/51.34 (define @t170 () (= @t2 @t16)) % 51.14/51.34 (define @t171 () (not @t170)) % 51.14/51.34 (define @t172 () (not (= @t1 @t14))) % 51.14/51.34 (define @t173 () (or @t172 @t171 @t169 @t151)) % 51.14/51.34 (define @t174 () (=> @t18 @t173)) % 51.14/51.34 (define @t175 () (forall @t20 @t174)) % 51.14/51.34 (define @t176 () (=> @t22 @t175)) % 51.14/51.34 (define @t177 () (forall @t24 @t176)) % 51.14/51.34 (define @t178 () (=> @t39 @t177)) % 51.14/51.34 (define @t179 () (forall @t7 @t178)) % 51.14/51.34 (define @t180 () (=> @t30 @t179)) % 51.14/51.34 (define @t181 () (forall @t9 @t180)) % 51.14/51.34 (define @t182 () (not @t181)) % 51.14/51.34 (define @t183 () (@var "BOUND_VARIABLE_8392" $$unsorted)) % 51.14/51.34 (define @t184 () (@var "BOUND_VARIABLE_8415" $$unsorted)) % 51.14/51.34 (define @t185 () (not (tptp.ssList @t183))) % 51.14/51.34 (define @t186 () (not @t22)) % 51.14/51.34 (define @t187 () (@list @t16 @t183)) % 51.14/51.34 (define @t188 () (= (tptp.segmentP @t2 @t184) (not (forall @t187 (or @t186 @t185 (not (= @t2 (tptp.app (tptp.app @t16 @t184) @t183)))))))) % 51.14/51.34 (define @t189 () (not (tptp.ssList @t184))) % 51.14/51.34 (define @t190 () (not @t30)) % 51.14/51.34 (define @t191 () (or @t189 @t188)) % 51.14/51.34 (define @t192 () (or @t190 @t191)) % 51.14/51.34 (define @t193 () (forall (@list @t2 @t184) @t192)) % 51.14/51.34 (define @t194 () (@list @t184)) % 51.14/51.34 (define @t195 () (forall @t194 @t192)) % 51.14/51.34 (define @t196 () (forall @t194 @t191)) % 51.14/51.34 (define @t197 () (@list @t1)) % 51.14/51.34 (define @t198 () (or @t190 @t196)) % 51.14/51.34 (define @t199 () (not (= @t2 (tptp.app @t44 @t183)))) % 51.14/51.34 (define @t200 () (or @t186 @t185 @t199)) % 51.14/51.34 (define @t201 () (= @t51 (not (forall @t187 @t200)))) % 51.14/51.34 (define @t202 () (not @t39)) % 51.14/51.34 (define @t203 () (forall @t7 (or @t202 @t201))) % 51.14/51.34 (define @t204 () (or @t185 @t199)) % 51.14/51.34 (define @t205 () (or @t186 @t204)) % 51.14/51.34 (define @t206 () (forall @t187 @t205)) % 51.14/51.34 (define @t207 () (@list @t183)) % 51.14/51.34 (define @t208 () (forall @t207 @t205)) % 51.14/51.34 (define @t209 () (forall @t207 @t204)) % 51.14/51.34 (define @t210 () (@list @t14)) % 51.14/51.34 (define @t211 () (or @t186 @t209)) % 51.14/51.34 (define @t212 () (= @t2 @t46)) % 51.14/51.34 (define @t213 () (not @t18)) % 51.14/51.34 (define @t214 () (forall @t20 (or @t213 (not @t212)))) % 51.14/51.34 (define @t215 () (not @t214)) % 51.14/51.34 (define @t216 () (and @t22 @t215)) % 51.14/51.34 (define @t217 () (forall @t24 (not @t216))) % 51.14/51.34 (define @t218 () (not @t217)) % 51.14/51.34 (define @t219 () (and @t18 @t212)) % 51.14/51.34 (define @t220 () (forall @t20 (not @t219))) % 51.14/51.34 (define @t221 () (not @t220)) % 51.14/51.34 (define @t222 () (= @t2 tptp.nil)) % 51.14/51.34 (define @t223 () (not @t222)) % 51.14/51.34 (define @t224 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 51.14/51.34 (define @t225 () (@var "BOUND_VARIABLE_11133" $$unsorted)) % 51.14/51.34 (define @t226 () (not @t159)) % 51.14/51.34 (define @t227 () (or (not (tptp.ssItem @t225)) (not (= @t2 (tptp.cons @t225 tptp.nil))) (not (tptp.memberP @t224 @t225)) (not (forall @t63 (or @t226 (= @t59 @t225) (not (tptp.memberP @t224 @t59)) (not (tptp.leq @t225 @t59))))))) % 51.14/51.34 (define @t228 () (and (tptp.segmentP @t224 @t2) @t68)) % 51.14/51.34 (define @t229 () (not (tptp.ssList @t224))) % 51.14/51.34 (define @t230 () (@list @t2 @t224 @t225)) % 51.14/51.34 (define @t231 () (forall @t230 (or @t190 @t229 @t228 (and @t227 (or (not (= tptp.nil @t224)) @t223))))) % 51.14/51.34 (define @t232 () (@quantifiers_skolemize @t231 0)) % 51.14/51.34 (define @t233 () (@quantifiers_skolemize @t231 1)) % 51.14/51.34 (define @t234 () (not (= @t224 tptp.nil))) % 51.14/51.34 (define @t235 () (or @t234 @t223)) % 51.14/51.34 (define @t236 () (and @t227 @t235)) % 51.14/51.34 (define @t237 () (or @t190 @t229 @t228 @t236)) % 51.14/51.34 (define @t238 () (or @t229 @t228 @t236)) % 51.14/51.34 (define @t239 () (or @t190 @t238)) % 51.14/51.34 (define @t240 () (forall @t230 @t239)) % 51.14/51.34 (define @t241 () (@list @t224 @t225)) % 51.14/51.34 (define @t242 () (forall @t241 @t239)) % 51.14/51.34 (define @t243 () (forall @t241 @t238)) % 51.14/51.34 (define @t244 () (@var "BOUND_VARIABLE_11107" $$unsorted)) % 51.14/51.34 (define @t245 () (or @t190 @t243)) % 51.14/51.34 (define @t246 () (= @t1 tptp.nil)) % 51.14/51.34 (define @t247 () (not @t246)) % 51.14/51.34 (define @t248 () (or @t247 @t223)) % 51.14/51.34 (define @t249 () (not (tptp.memberP @t1 @t59))) % 51.14/51.34 (define @t250 () (or (not (tptp.ssItem @t244)) (not (= @t2 (tptp.cons @t244 tptp.nil))) (not (tptp.memberP @t1 @t244)) (not (forall @t63 (or @t226 (= @t59 @t244) @t249 (not (tptp.leq @t244 @t59))))))) % 51.14/51.34 (define @t251 () (and @t250 @t248)) % 51.14/51.34 (define @t252 () (or @t202 @t151 @t251)) % 51.14/51.34 (define @t253 () (forall (@list @t1 @t244) @t252)) % 51.14/51.34 (define @t254 () (or @t190 @t253)) % 51.14/51.34 (define @t255 () (@list @t244)) % 51.14/51.34 (define @t256 () (forall @t255 @t252)) % 51.14/51.34 (define @t257 () (forall @t255 @t248)) % 51.14/51.34 (define @t258 () (forall @t255 @t250)) % 51.14/51.34 (define @t259 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 51.14/51.34 (define @t260 () (@list @t259)) % 51.14/51.34 (define @t261 () (and @t258 @t257)) % 51.14/51.34 (define @t262 () (forall @t255 @t251)) % 51.14/51.34 (define @t263 () (or @t202 @t151 @t262)) % 51.14/51.34 (define @t264 () (and (forall (@list @t259) (or (not (tptp.ssItem @t259)) (not (= @t2 (tptp.cons @t259 tptp.nil))) (not (tptp.memberP @t1 @t259)) (not (forall @t63 (or @t226 (= @t59 @t259) @t249 (not (tptp.leq @t259 @t59))))))) @t248)) % 51.14/51.34 (define @t265 () (or @t202 @t151 @t264)) % 51.14/51.34 (define @t266 () (forall @t7 @t265)) % 51.14/51.34 (define @t267 () (or @t190 @t266)) % 51.14/51.34 (define @t268 () (or @t190 @t265)) % 51.14/51.34 (define @t269 () (or @t202 @t151 @t190 @t264)) % 51.14/51.34 (define @t270 () (or @t151 @t202 @t190 @t264)) % 51.14/51.34 (define @t271 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 51.14/51.34 (define @t272 () (@list @t271)) % 51.14/51.34 (define @t273 () (forall @t272 @t248)) % 51.14/51.34 (define @t274 () (not (forall @t63 (or @t226 (= @t59 @t271) @t249 (not (tptp.leq @t271 @t59)))))) % 51.14/51.34 (define @t275 () (not (tptp.memberP @t1 @t271))) % 51.14/51.34 (define @t276 () (tptp.cons @t271 tptp.nil)) % 51.14/51.34 (define @t277 () (not (tptp.ssItem @t271))) % 51.14/51.34 (define @t278 () (or @t277 (not (= @t2 @t276)) @t275 @t274)) % 51.14/51.34 (define @t279 () (forall @t272 @t278)) % 51.14/51.34 (define @t280 () (@list @t271)) % 51.14/51.34 (define @t281 () (and @t279 @t273)) % 51.14/51.34 (define @t282 () (and @t278 @t248)) % 51.14/51.34 (define @t283 () (forall @t272 @t282)) % 51.14/51.34 (define @t284 () (or @t190 @t283)) % 51.14/51.34 (define @t285 () (or @t190 @t282)) % 51.14/51.34 (define @t286 () (not (= @t2 @t2))) % 51.14/51.34 (define @t287 () (or @t190 @t286 @t282)) % 51.14/51.34 (define @t288 () (not (= @t16 tptp.nil))) % 51.14/51.34 (define @t289 () (or @t247 @t288)) % 51.14/51.34 (define @t290 () (or @t277 (not (= @t16 @t276)) @t275 @t274)) % 51.14/51.34 (define @t291 () (and @t290 @t289)) % 51.14/51.34 (define @t292 () (or @t171 @t186 @t171 @t291)) % 51.14/51.34 (define @t293 () (or @t186 @t171 @t291)) % 51.14/51.34 (define @t294 () (forall @t24 @t293)) % 51.14/51.34 (define @t295 () (forall @t272 @t294)) % 51.14/51.34 (define @t296 () (forall (@list @t271 @t16) @t293)) % 51.14/51.34 (define @t297 () (forall (@list @t16 @t271) @t293)) % 51.14/51.34 (define @t298 () (forall @t272 @t293)) % 51.14/51.34 (define @t299 () (forall @t272 @t289)) % 51.14/51.34 (define @t300 () (forall @t272 @t290)) % 51.14/51.34 (define @t301 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 51.14/51.34 (define @t302 () (@list @t301)) % 51.14/51.34 (define @t303 () (and @t300 @t299)) % 51.14/51.34 (define @t304 () (forall @t272 @t291)) % 51.14/51.34 (define @t305 () (or @t186 @t171 @t304)) % 51.14/51.34 (define @t306 () (and (forall (@list @t301) (or (not (tptp.ssItem @t301)) (not (= @t16 (tptp.cons @t301 tptp.nil))) (not (tptp.memberP @t1 @t301)) (not (forall @t63 (or @t226 (= @t59 @t301) @t249 (not (tptp.leq @t301 @t59))))))) @t289)) % 51.14/51.34 (define @t307 () (or @t186 @t171 @t306)) % 51.14/51.34 (define @t308 () (forall @t24 @t307)) % 51.14/51.34 (define @t309 () (or @t151 @t202 @t308)) % 51.14/51.34 (define @t310 () (or @t151 @t202 @t307)) % 51.14/51.34 (define @t311 () (or @t186 @t171 @t151 @t202 @t306)) % 51.14/51.34 (define @t312 () (or @t171 @t151 @t202 @t306)) % 51.14/51.34 (define @t313 () (@var "BOUND_VARIABLE_10964" $$unsorted)) % 51.14/51.34 (define @t314 () (@list @t313)) % 51.14/51.34 (define @t315 () (forall @t314 @t289)) % 51.14/51.34 (define @t316 () (not (tptp.leq @t313 @t59))) % 51.14/51.34 (define @t317 () (= @t59 @t313)) % 51.14/51.34 (define @t318 () (not (= @t16 (tptp.cons @t313 tptp.nil)))) % 51.14/51.34 (define @t319 () (not (tptp.ssItem @t313))) % 51.14/51.34 (define @t320 () (or @t319 @t318 (not (tptp.memberP @t1 @t313)) (not (forall @t63 (or @t226 @t317 @t249 @t316))))) % 51.14/51.34 (define @t321 () (forall @t314 @t320)) % 51.14/51.34 (define @t322 () (@list @t313)) % 51.14/51.34 (define @t323 () (and @t321 @t315)) % 51.14/51.34 (define @t324 () (and @t320 @t289)) % 51.14/51.34 (define @t325 () (forall @t314 @t324)) % 51.14/51.34 (define @t326 () (or @t202 @t325)) % 51.14/51.34 (define @t327 () (or @t202 @t324)) % 51.14/51.34 (define @t328 () (not (= @t1 @t1))) % 51.14/51.34 (define @t329 () (or @t202 @t328 @t324)) % 51.14/51.34 (define @t330 () (or (not (= @t14 tptp.nil)) @t288)) % 51.14/51.34 (define @t331 () (not @t156)) % 51.14/51.34 (define @t332 () (not (tptp.memberP @t14 @t313))) % 51.14/51.34 (define @t333 () (and (or @t319 @t318 @t332 (not (forall @t63 (or @t226 @t317 @t331 @t316)))) @t330)) % 51.14/51.34 (define @t334 () (or @t172 @t213 @t172 @t333)) % 51.14/51.34 (define @t335 () (or @t213 @t172 @t333)) % 51.14/51.34 (define @t336 () (forall @t20 @t335)) % 51.14/51.34 (define @t337 () (forall @t314 @t336)) % 51.14/51.34 (define @t338 () (forall (@list @t313 @t14) @t335)) % 51.14/51.34 (define @t339 () (@list @t14 @t313)) % 51.14/51.34 (define @t340 () (or @t226 (= @t313 @t59) @t331 @t316)) % 51.14/51.34 (define @t341 () (forall @t63 @t340)) % 51.14/51.34 (define @t342 () (not @t341)) % 51.14/51.34 (define @t343 () (or @t319 @t318 @t332 @t342)) % 51.14/51.34 (define @t344 () (and @t343 @t330)) % 51.14/51.34 (define @t345 () (or @t213 @t172 @t344)) % 51.14/51.34 (define @t346 () (forall @t339 @t345)) % 51.14/51.34 (define @t347 () (forall @t314 @t345)) % 51.14/51.34 (define @t348 () (forall @t314 @t330)) % 51.14/51.34 (define @t349 () (forall @t314 @t343)) % 51.14/51.34 (define @t350 () (and @t349 @t348)) % 51.14/51.34 (define @t351 () (forall @t314 @t344)) % 51.14/51.34 (define @t352 () (or @t213 @t172 @t351)) % 51.14/51.34 (define @t353 () (not @t155)) % 51.14/51.34 (define @t354 () (not (forall @t63 (or @t226 @t157 @t331 @t353)))) % 51.14/51.34 (define @t355 () (not (= @t16 @t163))) % 51.14/51.34 (define @t356 () (not @t166)) % 51.14/51.34 (define @t357 () (or @t356 @t355 @t162 @t354)) % 51.14/51.34 (define @t358 () (and (forall @t65 @t357) @t330)) % 51.14/51.34 (define @t359 () (or @t213 @t172 @t358)) % 51.14/51.34 (define @t360 () (forall @t20 @t359)) % 51.14/51.34 (define @t361 () (or @t171 @t151 @t360)) % 51.14/51.34 (define @t362 () (or @t171 @t151 @t359)) % 51.14/51.34 (define @t363 () (or @t213 @t172 @t171 @t358 @t151)) % 51.14/51.34 (define @t364 () (or @t172 @t171 @t358 @t151)) % 51.14/51.34 (define @t365 () (or @t355 @t162 @t354)) % 51.14/51.34 (define @t366 () (not @t158)) % 51.14/51.34 (define @t367 () (or @t226 @t366 @t331 @t353)) % 51.14/51.34 (define @t368 () (forall @t63 (not @t160))) % 51.14/51.34 (define @t369 () (not @t368)) % 51.14/51.34 (define @t370 () (= tptp.nil @t232)) % 51.14/51.34 (define @t371 () (not @t370)) % 51.14/51.34 (define @t372 () (= tptp.nil @t233)) % 51.14/51.34 (define @t373 () (not @t372)) % 51.14/51.34 (define @t374 () (or @t373 @t371)) % 51.14/51.34 (define @t375 () (@quantifiers_skolemize @t231 2)) % 51.14/51.34 (define @t376 () (tptp.memberP @t233 @t375)) % 51.14/51.34 (define @t377 () (not @t376)) % 51.14/51.34 (define @t378 () (tptp.cons @t375 tptp.nil)) % 51.14/51.34 (define @t379 () (= @t232 @t378)) % 51.14/51.34 (define @t380 () (not @t379)) % 51.14/51.34 (define @t381 () (tptp.ssItem @t375)) % 51.14/51.34 (define @t382 () (not @t381)) % 51.14/51.34 (define @t383 () (or @t382 @t380 @t377 (not (forall @t63 (or @t226 (= @t59 @t375) (not (tptp.memberP @t233 @t59)) (not (tptp.leq @t375 @t59))))))) % 51.14/51.34 (define @t384 () (and @t383 @t374)) % 51.14/51.34 (define @t385 () (tptp.strictorderedP @t232)) % 51.14/51.34 (define @t386 () (tptp.segmentP @t233 @t232)) % 51.14/51.34 (define @t387 () (and @t386 @t385)) % 51.14/51.34 (define @t388 () (tptp.ssList @t233)) % 51.14/51.34 (define @t389 () (not @t388)) % 51.14/51.34 (define @t390 () (tptp.ssList @t232)) % 51.14/51.34 (define @t391 () (not @t390)) % 51.14/51.34 (define @t392 () (or @t391 @t389 @t387 @t384)) % 51.14/51.34 (define @t393 () (not @t392)) % 51.14/51.34 (define @t394 () (not @t231)) % 51.14/51.34 (define @t395 () (not (= @t232 tptp.nil))) % 51.14/51.34 (define @t396 () (or @t373 @t395)) % 51.14/51.34 (define @t397 () (and @t383 @t396)) % 51.14/51.34 (define @t398 () (or @t391 @t389 @t387 @t397)) % 51.14/51.34 (define @t399 () (not @t398)) % 51.14/51.34 (define @t400 () (@list true)) % 51.14/51.34 (define @t401 () (@list @t392)) % 51.14/51.34 (define @t402 () (forall @t187 (or @t186 @t185 (not (= @t233 (tptp.app (tptp.app @t16 @t232) @t183)))))) % 51.14/51.34 (define @t403 () (not @t402)) % 51.14/51.34 (define @t404 () (= @t386 @t403)) % 51.14/51.34 (define @t405 () (or @t389 @t391 @t404)) % 51.14/51.34 (define @t406 () (@list false false false)) % 51.14/51.34 (define @t407 () (not @t404)) % 51.14/51.34 (define @t408 () (@list tptp.nil tptp.nil)) % 51.14/51.34 (define @t409 () (tptp.app tptp.nil @t232)) % 51.14/51.34 (define @t410 () (= @t233 (tptp.app @t409 tptp.nil))) % 51.14/51.34 (define @t411 () (not @t410)) % 51.14/51.34 (define @t412 () (not @t75)) % 51.14/51.34 (define @t413 () (or @t412 @t412 @t411)) % 51.14/51.34 (define @t414 () (= @t2 @t94)) % 51.14/51.34 (define @t415 () (@list @t232)) % 51.14/51.34 (define @t416 () (= @t232 @t409)) % 51.14/51.34 (define @t417 () (or @t391 @t416)) % 51.14/51.34 (define @t418 () (@list false false)) % 51.14/51.34 (define @t419 () (= @t2 @t148)) % 51.14/51.34 (define @t420 () (tptp.app @t232 tptp.nil)) % 51.14/51.34 (define @t421 () (= @t232 @t420)) % 51.14/51.34 (define @t422 () (or @t391 @t421)) % 51.14/51.34 (define @t423 () (= @t232 @t233)) % 51.14/51.34 (define @t424 () (and @t416 @t423 @t421)) % 51.14/51.34 (define @t425 () (not @t423)) % 51.14/51.34 (define @t426 () (not @t416)) % 51.14/51.34 (define @t427 () (@var "BOUND_VARIABLE_9355" $$unsorted)) % 51.14/51.34 (define @t428 () (= @t2 (tptp.tl (tptp.cons @t427 @t2)))) % 51.14/51.34 (define @t429 () (not (tptp.ssItem @t427))) % 51.14/51.34 (define @t430 () (or @t429 @t428)) % 51.14/51.34 (define @t431 () (or @t190 @t430)) % 51.14/51.34 (define @t432 () (forall (@list @t2 @t427) @t431)) % 51.14/51.34 (define @t433 () (@list @t427)) % 51.14/51.34 (define @t434 () (forall @t433 @t431)) % 51.14/51.34 (define @t435 () (forall @t433 @t430)) % 51.14/51.34 (define @t436 () (or @t190 @t435)) % 51.14/51.34 (define @t437 () (= @t2 @t87)) % 51.14/51.34 (define @t438 () (not @t6)) % 51.14/51.34 (define @t439 () (forall @t7 (or @t438 @t437))) % 51.14/51.34 (define @t440 () (@var "BOUND_VARIABLE_8205" $$unsorted)) % 51.14/51.34 (define @t441 () (= @t2 @t440)) % 51.14/51.34 (define @t442 () (not (tptp.ssItem @t440))) % 51.14/51.34 (define @t443 () (not @t8)) % 51.14/51.34 (define @t444 () (or @t443 @t442 @t441)) % 51.14/51.34 (define @t445 () (@list @t2 @t440)) % 51.14/51.34 (define @t446 () (forall @t445 @t444)) % 51.14/51.34 (define @t447 () (@quantifiers_skolemize @t446 0)) % 51.14/51.34 (define @t448 () (or @t442 @t441)) % 51.14/51.34 (define @t449 () (or @t443 @t448)) % 51.14/51.34 (define @t450 () (forall @t445 @t449)) % 51.14/51.34 (define @t451 () (@list @t440)) % 51.14/51.34 (define @t452 () (forall @t451 @t449)) % 51.14/51.34 (define @t453 () (forall @t451 @t448)) % 51.14/51.34 (define @t454 () (or @t443 @t453)) % 51.14/51.34 (define @t455 () (forall @t7 (or @t438 @t3))) % 51.14/51.34 (define @t456 () (not @t455)) % 51.14/51.34 (define @t457 () (and @t8 @t456)) % 51.14/51.34 (define @t458 () (forall @t9 (not @t457))) % 51.14/51.34 (define @t459 () (not @t458)) % 51.14/51.34 (define @t460 () (forall @t7 (not @t10))) % 51.14/51.34 (define @t461 () (not @t460)) % 51.14/51.34 (define @t462 () (tptp.ssItem @t447)) % 51.14/51.34 (define @t463 () (@quantifiers_skolemize @t446 1)) % 51.14/51.34 (define @t464 () (not @t462)) % 51.14/51.34 (define @t465 () (or @t464 (not (tptp.ssItem @t463)) (= @t447 @t463))) % 51.14/51.34 (define @t466 () (= tptp.nil (tptp.tl (tptp.cons @t447 tptp.nil)))) % 51.14/51.34 (define @t467 () (or @t412 @t464 @t466)) % 51.14/51.34 (define @t468 () (@var "BOUND_VARIABLE_10510" $$unsorted)) % 51.14/51.34 (define @t469 () (= @t2 @t468)) % 51.14/51.34 (define @t470 () (@var "BOUND_VARIABLE_10508" $$unsorted)) % 51.14/51.34 (define @t471 () (not (= (tptp.app @t470 @t2) (tptp.app @t470 @t468)))) % 51.14/51.34 (define @t472 () (not (tptp.ssList @t468))) % 51.14/51.34 (define @t473 () (not (tptp.ssList @t470))) % 51.14/51.34 (define @t474 () (or @t473 @t472 @t471 @t469)) % 51.14/51.34 (define @t475 () (or @t190 @t474)) % 51.14/51.34 (define @t476 () (forall (@list @t2 @t470 @t468) @t475)) % 51.14/51.34 (define @t477 () (@list @t470 @t468)) % 51.14/51.34 (define @t478 () (forall @t477 @t475)) % 51.14/51.34 (define @t479 () (forall @t477 @t474)) % 51.14/51.34 (define @t480 () (@var "BOUND_VARIABLE_10487" $$unsorted)) % 51.14/51.34 (define @t481 () (or @t190 @t479)) % 51.14/51.34 (define @t482 () (= @t2 @t480)) % 51.14/51.34 (define @t483 () (tptp.app @t1 @t480)) % 51.14/51.34 (define @t484 () (not (tptp.ssList @t480))) % 51.14/51.34 (define @t485 () (@list @t1 @t480)) % 51.14/51.34 (define @t486 () (forall @t485 (or @t202 @t484 (not (= @t93 @t483)) @t482))) % 51.14/51.34 (define @t487 () (not (= @t483 @t93))) % 51.14/51.34 (define @t488 () (or @t202 @t484 @t487 @t482)) % 51.14/51.34 (define @t489 () (or @t484 @t487 @t482)) % 51.14/51.34 (define @t490 () (or @t202 @t489)) % 51.14/51.34 (define @t491 () (forall @t485 @t490)) % 51.14/51.34 (define @t492 () (@list @t480)) % 51.14/51.34 (define @t493 () (forall @t492 @t490)) % 51.14/51.34 (define @t494 () (forall @t492 @t489)) % 51.14/51.34 (define @t495 () (or @t202 @t494)) % 51.14/51.34 (define @t496 () (not @t129)) % 51.14/51.34 (define @t497 () (or @t186 @t496 @t170)) % 51.14/51.34 (define @t498 () (forall @t24 @t497)) % 51.14/51.34 (define @t499 () (=> @t129 @t170)) % 51.14/51.34 (define @t500 () (forall @t24 (or @t186 (not (= @t233 (tptp.app @t233 @t16)))))) % 51.14/51.34 (define @t501 () (@quantifiers_skolemize @t500 0)) % 51.14/51.34 (define @t502 () (@var "BOUND_VARIABLE_8318" $$unsorted)) % 51.14/51.34 (define @t503 () (= (tptp.frontsegP @t2 @t502) (not (forall @t24 (or @t186 (not (= @t2 (tptp.app @t502 @t16)))))))) % 51.14/51.34 (define @t504 () (not (tptp.ssList @t502))) % 51.14/51.34 (define @t505 () (or @t504 @t503)) % 51.14/51.34 (define @t506 () (or @t190 @t505)) % 51.14/51.34 (define @t507 () (forall (@list @t2 @t502) @t506)) % 51.14/51.34 (define @t508 () (@list @t502)) % 51.14/51.34 (define @t509 () (forall @t508 @t506)) % 51.14/51.34 (define @t510 () (forall @t508 @t505)) % 51.14/51.34 (define @t511 () (or @t190 @t510)) % 51.14/51.34 (define @t512 () (= @t2 @t34)) % 51.14/51.34 (define @t513 () (= @t37 (not (forall @t24 (or @t186 (not @t512)))))) % 51.14/51.34 (define @t514 () (forall @t7 (or @t202 @t513))) % 51.14/51.34 (define @t515 () (and @t22 @t512)) % 51.14/51.34 (define @t516 () (forall @t24 (not @t515))) % 51.14/51.34 (define @t517 () (not @t516)) % 51.14/51.34 (define @t518 () (not @t500)) % 51.14/51.34 (define @t519 () (tptp.frontsegP @t233 @t233)) % 51.14/51.34 (define @t520 () (= @t519 @t518)) % 51.14/51.34 (define @t521 () (or @t389 @t389 @t520)) % 51.14/51.34 (define @t522 () (@list @t233)) % 51.14/51.34 (define @t523 () (or @t389 @t519)) % 51.14/51.34 (define @t524 () (tptp.app @t233 @t501)) % 51.14/51.34 (define @t525 () (= @t233 @t524)) % 51.14/51.34 (define @t526 () (not @t525)) % 51.14/51.34 (define @t527 () (tptp.ssList @t501)) % 51.14/51.34 (define @t528 () (not @t527)) % 51.14/51.34 (define @t529 () (or @t528 @t526)) % 51.14/51.34 (define @t530 () (@list @t529)) % 51.14/51.34 (define @t531 () (tptp.app @t233 tptp.nil)) % 51.14/51.34 (define @t532 () (= @t233 @t531)) % 51.14/51.34 (define @t533 () (or @t389 @t532)) % 51.14/51.34 (define @t534 () (= tptp.nil @t501)) % 51.14/51.34 (define @t535 () (= @t531 @t524)) % 51.14/51.34 (define @t536 () (not @t535)) % 51.14/51.34 (define @t537 () (or @t412 @t389 @t528 @t536 @t534)) % 51.14/51.34 (define @t538 () (@list false false false false false)) % 51.14/51.34 (define @t539 () (@var "BOUND_VARIABLE_10603" $$unsorted)) % 51.14/51.34 (define @t540 () (and (= @t539 tptp.nil) @t222)) % 51.14/51.34 (define @t541 () (= tptp.nil (tptp.app @t2 @t539))) % 51.14/51.34 (define @t542 () (= @t541 @t540)) % 51.14/51.34 (define @t543 () (not (tptp.ssList @t539))) % 51.14/51.34 (define @t544 () (or @t190 @t543 @t542)) % 51.14/51.34 (define @t545 () (or @t543 @t542)) % 51.14/51.34 (define @t546 () (or @t190 @t545)) % 51.14/51.34 (define @t547 () (@list @t2 @t539)) % 51.14/51.34 (define @t548 () (forall @t547 @t546)) % 51.14/51.34 (define @t549 () (@list @t539)) % 51.14/51.34 (define @t550 () (forall @t549 @t546)) % 51.14/51.34 (define @t551 () (forall @t549 @t545)) % 51.14/51.34 (define @t552 () (or @t190 @t551)) % 51.14/51.34 (define @t553 () (= @t142 (and @t246 @t222))) % 51.14/51.34 (define @t554 () (forall @t7 (or @t202 @t553))) % 51.14/51.34 (define @t555 () (forall @t187 (or @t186 @t185 (not (= tptp.nil (tptp.app (tptp.app @t16 tptp.nil) @t183)))))) % 51.14/51.34 (define @t556 () (@quantifiers_skolemize @t555 0)) % 51.14/51.34 (define @t557 () (@quantifiers_skolemize @t555 1)) % 51.14/51.34 (define @t558 () (= tptp.nil @t557)) % 51.14/51.34 (define @t559 () (and @t558 (= @t556 tptp.nil))) % 51.14/51.34 (define @t560 () (= tptp.nil (tptp.app @t556 @t557))) % 51.14/51.34 (define @t561 () (= @t560 @t559)) % 51.14/51.34 (define @t562 () (tptp.ssList @t557)) % 51.14/51.34 (define @t563 () (not @t562)) % 51.14/51.34 (define @t564 () (tptp.ssList @t556)) % 51.14/51.34 (define @t565 () (not @t564)) % 51.14/51.34 (define @t566 () (or @t565 @t563 @t561)) % 51.14/51.34 (define @t567 () (forall @t547 (or @t190 @t543 (= @t541 (and (= tptp.nil @t539) @t222))))) % 51.14/51.34 (define @t568 () (= tptp.nil @t556)) % 51.14/51.34 (define @t569 () (and @t558 @t568)) % 51.14/51.34 (define @t570 () (= @t560 @t569)) % 51.14/51.34 (define @t571 () (or @t565 @t563 @t570)) % 51.14/51.34 (define @t572 () (@list false)) % 51.14/51.34 (define @t573 () (not @t555)) % 51.14/51.34 (define @t574 () (tptp.segmentP tptp.nil tptp.nil)) % 51.14/51.34 (define @t575 () (= @t574 @t573)) % 51.14/51.34 (define @t576 () (or @t412 @t412 @t575)) % 51.14/51.34 (define @t577 () (or @t412 @t574)) % 51.14/51.34 (define @t578 () (tptp.app @t556 tptp.nil)) % 51.14/51.34 (define @t579 () (tptp.app @t578 @t557)) % 51.14/51.34 (define @t580 () (= tptp.nil @t579)) % 51.14/51.34 (define @t581 () (not @t580)) % 51.14/51.34 (define @t582 () (or @t565 @t563 @t581)) % 51.14/51.34 (define @t583 () (@list @t582)) % 51.14/51.34 (define @t584 () (= @t556 @t578)) % 51.14/51.34 (define @t585 () (or @t565 @t584)) % 51.14/51.34 (define @t586 () (not @t534)) % 51.14/51.34 (define @t587 () (not @t568)) % 51.14/51.34 (define @t588 () (not @t466)) % 51.14/51.34 (define @t589 () (= false true)) % 51.14/51.34 (define @t590 () (and @t466 @t370 @t568 @t534 @t372 @t425)) % 51.14/51.34 (define @t591 () (@var "BOUND_VARIABLE_8237" $$unsorted)) % 51.14/51.34 (define @t592 () (@var "BOUND_VARIABLE_8262" $$unsorted)) % 51.14/51.34 (define @t593 () (not (tptp.ssList @t591))) % 51.14/51.34 (define @t594 () (@list @t16 @t591)) % 51.14/51.34 (define @t595 () (= (tptp.memberP @t2 @t592) (not (forall @t594 (or @t186 @t593 (not (= @t2 (tptp.app @t16 (tptp.cons @t592 @t591))))))))) % 51.14/51.34 (define @t596 () (not (tptp.ssItem @t592))) % 51.14/51.34 (define @t597 () (or @t190 @t596 @t595)) % 51.14/51.34 (define @t598 () (or @t596 @t595)) % 51.14/51.34 (define @t599 () (or @t190 @t598)) % 51.14/51.34 (define @t600 () (@list @t2 @t592)) % 51.14/51.34 (define @t601 () (forall @t600 @t599)) % 51.14/51.34 (define @t602 () (@list @t592)) % 51.14/51.34 (define @t603 () (forall @t602 @t599)) % 51.14/51.34 (define @t604 () (forall @t602 @t598)) % 51.14/51.34 (define @t605 () (or @t190 @t604)) % 51.14/51.34 (define @t606 () (not (= @t2 (tptp.app @t16 (tptp.cons @t1 @t591))))) % 51.14/51.34 (define @t607 () (or @t186 @t593 @t606)) % 51.14/51.34 (define @t608 () (= @t26 (not (forall @t594 @t607)))) % 51.14/51.34 (define @t609 () (forall @t7 (or @t438 @t608))) % 51.14/51.34 (define @t610 () (or @t593 @t606)) % 51.14/51.34 (define @t611 () (or @t186 @t610)) % 51.14/51.34 (define @t612 () (forall @t594 @t611)) % 51.14/51.34 (define @t613 () (@list @t591)) % 51.14/51.34 (define @t614 () (forall @t613 @t611)) % 51.14/51.34 (define @t615 () (forall @t613 @t610)) % 51.14/51.34 (define @t616 () (or @t186 @t615)) % 51.14/51.34 (define @t617 () (= @t2 @t17)) % 51.14/51.34 (define @t618 () (forall @t20 (or @t213 (not @t617)))) % 51.14/51.34 (define @t619 () (not @t618)) % 51.14/51.34 (define @t620 () (and @t22 @t619)) % 51.14/51.34 (define @t621 () (forall @t24 (not @t620))) % 51.14/51.34 (define @t622 () (not @t621)) % 51.14/51.34 (define @t623 () (and @t18 @t617)) % 51.14/51.34 (define @t624 () (forall @t20 (not @t623))) % 51.14/51.34 (define @t625 () (not @t624)) % 51.14/51.34 (define @t626 () (forall @t600 @t597)) % 51.14/51.34 (define @t627 () (forall @t594 (or @t186 @t593 (not (= @t233 (tptp.app @t16 (tptp.cons @t375 @t591))))))) % 51.14/51.34 (define @t628 () (not @t627)) % 51.14/51.34 (define @t629 () (= @t376 @t628)) % 51.14/51.34 (define @t630 () (or @t389 @t382 @t629)) % 51.14/51.34 (define @t631 () (@var "BOUND_VARIABLE_9154" $$unsorted)) % 51.14/51.34 (define @t632 () (not (= @t2 (tptp.cons @t631 @t2)))) % 51.14/51.34 (define @t633 () (not (tptp.ssItem @t631))) % 51.14/51.34 (define @t634 () (or @t190 @t633 @t632)) % 51.14/51.34 (define @t635 () (or @t633 @t632)) % 51.14/51.34 (define @t636 () (or @t190 @t635)) % 51.14/51.34 (define @t637 () (@list @t2 @t631)) % 51.14/51.34 (define @t638 () (forall @t637 @t636)) % 51.14/51.34 (define @t639 () (@list @t631)) % 51.14/51.34 (define @t640 () (forall @t639 @t636)) % 51.14/51.34 (define @t641 () (forall @t639 @t635)) % 51.14/51.34 (define @t642 () (or @t190 @t641)) % 51.14/51.34 (define @t643 () (not (= @t2 @t70))) % 51.14/51.34 (define @t644 () (forall @t7 (or @t438 @t643))) % 51.14/51.34 (define @t645 () (forall @t637 @t634)) % 51.14/51.34 (define @t646 () (= tptp.nil @t378)) % 51.14/51.34 (define @t647 () (not @t646)) % 51.14/51.34 (define @t648 () (or @t412 @t382 @t647)) % 51.14/51.34 (define @t649 () (and @t379 @t647)) % 51.14/51.34 (define @t650 () (@quantifiers_skolemize @t627 1)) % 51.14/51.34 (define @t651 () (tptp.cons @t375 @t650)) % 51.14/51.34 (define @t652 () (@quantifiers_skolemize @t627 0)) % 51.14/51.34 (define @t653 () (tptp.app @t652 @t651)) % 51.14/51.34 (define @t654 () (= @t233 @t653)) % 51.14/51.34 (define @t655 () (not @t654)) % 51.14/51.34 (define @t656 () (tptp.ssList @t650)) % 51.14/51.34 (define @t657 () (not @t656)) % 51.14/51.34 (define @t658 () (tptp.ssList @t652)) % 51.14/51.34 (define @t659 () (not @t658)) % 51.14/51.34 (define @t660 () (or @t659 @t657 @t655)) % 51.14/51.34 (define @t661 () (not @t660)) % 51.14/51.34 (define @t662 () (@var "BOUND_VARIABLE_9131" $$unsorted)) % 51.14/51.34 (define @t663 () (tptp.ssList (tptp.cons @t662 @t2))) % 51.14/51.34 (define @t664 () (not (tptp.ssItem @t662))) % 51.14/51.34 (define @t665 () (or @t664 @t663)) % 51.14/51.34 (define @t666 () (or @t190 @t665)) % 51.14/51.34 (define @t667 () (forall (@list @t2 @t662) @t666)) % 51.14/51.34 (define @t668 () (@list @t662)) % 51.14/51.34 (define @t669 () (forall @t668 @t666)) % 51.14/51.34 (define @t670 () (forall @t668 @t665)) % 51.14/51.34 (define @t671 () (or @t190 @t670)) % 51.14/51.34 (define @t672 () (forall @t7 (or @t438 @t71))) % 51.14/51.34 (define @t673 () (@list @t650 @t375)) % 51.14/51.34 (define @t674 () (tptp.ssList @t651)) % 51.14/51.34 (define @t675 () (or @t657 @t382 @t674)) % 51.14/51.34 (define @t676 () (@var "BOUND_VARIABLE_10534" $$unsorted)) % 51.14/51.34 (define @t677 () (= (tptp.cons @t676 @t2) (tptp.app (tptp.cons @t676 tptp.nil) @t2))) % 51.14/51.34 (define @t678 () (not (tptp.ssItem @t676))) % 51.14/51.34 (define @t679 () (or @t678 @t677)) % 51.14/51.34 (define @t680 () (or @t190 @t679)) % 51.14/51.34 (define @t681 () (forall (@list @t2 @t676) @t680)) % 51.14/51.34 (define @t682 () (@list @t676)) % 51.14/51.34 (define @t683 () (forall @t682 @t680)) % 51.14/51.34 (define @t684 () (forall @t682 @t679)) % 51.14/51.34 (define @t685 () (or @t190 @t684)) % 51.14/51.34 (define @t686 () (forall @t7 (or @t438 @t137))) % 51.14/51.34 (define @t687 () (tptp.app @t378 @t650)) % 51.14/51.34 (define @t688 () (= @t651 @t687)) % 51.14/51.34 (define @t689 () (or @t657 @t382 @t688)) % 51.14/51.34 (define @t690 () (tptp.segmentP @t232 @t232)) % 51.14/51.34 (define @t691 () (or @t391 @t690)) % 51.14/51.34 (define @t692 () (@var "BOUND_VARIABLE_10209" $$unsorted)) % 51.14/51.34 (define @t693 () (@var "BOUND_VARIABLE_10213" $$unsorted)) % 51.14/51.34 (define @t694 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 51.14/51.34 (define @t695 () (tptp.segmentP (tptp.app (tptp.app @t694 @t2) @t693) @t692)) % 51.14/51.34 (define @t696 () (not (tptp.ssList @t693))) % 51.14/51.34 (define @t697 () (not (tptp.ssList @t694))) % 51.14/51.34 (define @t698 () (not (tptp.segmentP @t2 @t692))) % 51.14/51.34 (define @t699 () (not (tptp.ssList @t692))) % 51.14/51.34 (define @t700 () (or @t699 @t698 @t697 @t696 @t695)) % 51.14/51.34 (define @t701 () (or @t190 @t700)) % 51.14/51.34 (define @t702 () (forall (@list @t2 @t692 @t694 @t693) @t701)) % 51.14/51.34 (define @t703 () (@list @t692 @t694 @t693)) % 51.14/51.34 (define @t704 () (forall @t703 @t701)) % 51.14/51.34 (define @t705 () (forall @t703 @t700)) % 51.14/51.34 (define @t706 () (@var "BOUND_VARIABLE_10190" $$unsorted)) % 51.14/51.34 (define @t707 () (@var "BOUND_VARIABLE_10188" $$unsorted)) % 51.14/51.34 (define @t708 () (or @t190 @t705)) % 51.14/51.34 (define @t709 () (tptp.segmentP (tptp.app (tptp.app @t707 @t2) @t706) @t1)) % 51.14/51.34 (define @t710 () (not (tptp.ssList @t706))) % 51.14/51.34 (define @t711 () (not (tptp.ssList @t707))) % 51.14/51.34 (define @t712 () (not @t51)) % 51.14/51.34 (define @t713 () (or @t202 @t712 @t711 @t710 @t709)) % 51.14/51.34 (define @t714 () (@list @t1 @t707 @t706)) % 51.14/51.35 (define @t715 () (forall @t714 @t713)) % 51.14/51.35 (define @t716 () (or @t711 @t710 @t709)) % 51.14/51.35 (define @t717 () (or @t202 @t712 @t716)) % 51.14/51.35 (define @t718 () (forall @t714 @t717)) % 51.14/51.35 (define @t719 () (@list @t707 @t706)) % 51.14/51.35 (define @t720 () (forall @t719 @t717)) % 51.14/51.35 (define @t721 () (forall @t719 @t716)) % 51.14/51.35 (define @t722 () (@var "BOUND_VARIABLE_10171" $$unsorted)) % 51.14/51.35 (define @t723 () (or @t202 @t712 @t721)) % 51.14/51.35 (define @t724 () (tptp.segmentP (tptp.app @t107 @t722) @t1)) % 51.14/51.35 (define @t725 () (not (tptp.ssList @t722))) % 51.14/51.35 (define @t726 () (or @t186 @t725 @t724)) % 51.14/51.35 (define @t727 () (@list @t16 @t722)) % 51.14/51.35 (define @t728 () (forall @t727 @t726)) % 51.14/51.35 (define @t729 () (or @t202 @t712 @t728)) % 51.14/51.35 (define @t730 () (or @t712 @t728)) % 51.14/51.35 (define @t731 () (or @t725 @t724)) % 51.14/51.35 (define @t732 () (or @t186 @t731)) % 51.14/51.35 (define @t733 () (forall @t727 @t732)) % 51.14/51.35 (define @t734 () (@list @t722)) % 51.14/51.35 (define @t735 () (forall @t734 @t732)) % 51.14/51.35 (define @t736 () (forall @t734 @t731)) % 51.14/51.35 (define @t737 () (or @t186 @t736)) % 51.14/51.35 (define @t738 () (or @t213 @t111)) % 51.14/51.35 (define @t739 () (forall @t20 @t738)) % 51.14/51.35 (define @t740 () (or @t186 @t739)) % 51.14/51.35 (define @t741 () (forall @t24 @t740)) % 51.14/51.35 (define @t742 () (or @t712 @t741)) % 51.14/51.35 (define @t743 () (or @t712 @t740)) % 51.14/51.35 (define @t744 () (or @t186 @t712 @t739)) % 51.14/51.35 (define @t745 () (or @t712 @t739)) % 51.14/51.35 (define @t746 () (or @t712 @t738)) % 51.14/51.35 (define @t747 () (or @t213 @t712 @t111)) % 51.14/51.35 (define @t748 () (tptp.segmentP (tptp.app @t409 @t650) @t232)) % 51.14/51.35 (define @t749 () (not @t690)) % 51.14/51.35 (define @t750 () (or @t391 @t391 @t749 @t412 @t657 @t748)) % 51.14/51.35 (define @t751 () (tptp.app @t653 tptp.nil)) % 51.14/51.35 (define @t752 () (tptp.segmentP @t751 @t232)) % 51.14/51.35 (define @t753 () (not @t752)) % 51.14/51.35 (define @t754 () (not @t532)) % 51.14/51.35 (define @t755 () (not @t386)) % 51.14/51.35 (define @t756 () (and @t755 @t532 @t654)) % 51.14/51.35 (define @t757 () (tptp.segmentP @t651 @t232)) % 51.14/51.35 (define @t758 () (and @t379 @t416 @t688 @t748)) % 51.14/51.35 (define @t759 () (not @t757)) % 51.14/51.35 (define @t760 () (not @t674)) % 51.14/51.35 (define @t761 () (or @t760 @t391 @t759 @t659 @t412 @t752)) % 51.14/51.35 (define @t762 () (not @t385)) % 51.14/51.35 (define @t763 () (@list true false)) % 51.14/51.35 (define @t764 () (not @t127)) % 51.14/51.35 (define @t765 () (not @t762)) % 51.14/51.35 (define @t766 () (@list @t383)) % 51.14/51.35 (define @t767 () (tptp.strictorderedP @t378)) % 51.14/51.35 (define @t768 () (or @t382 @t767)) % 51.14/51.35 (define @t769 () (not @t767)) % 51.14/51.35 (define @t770 () (and @t762 @t379 @t767)) % 51.14/51.35 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 51.14/51.35 (assume @p2 @t13) % 51.14/51.35 (assume @p3 @t32) % 51.14/51.35 (assume @p4 (forall @t9 (=> @t30 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t33 @t2))))))) % 51.14/51.35 (assume @p5 @t43) % 51.14/51.35 (assume @p6 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (= @t45 (exists @t24 (and @t22 (= @t44 @t2))))))))) % 51.14/51.35 (assume @p7 @t56) % 51.14/51.35 (assume @p8 (forall @t9 (=> @t30 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t24 (=> @t66 (forall @t20 (=> @t18 (forall @t65 (=> @t64 (forall @t63 (=> @t62 (=> @t61 (not (and @t58 @t57))))))))))))))))) % 51.14/51.35 (assume @p9 (forall @t9 (=> @t30 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t24 (=> @t66 (forall @t20 (=> @t18 (forall @t65 (=> @t64 (forall @t63 (=> @t62 (=> @t61 (or @t58 @t57)))))))))))))))) % 51.14/51.35 (assume @p10 (forall @t9 (=> @t30 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t24 (=> @t66 (forall @t20 (=> @t18 (forall @t65 (=> @t64 (forall @t63 (=> @t62 (=> @t61 (or @t67 (tptp.lt @t16 @t1))))))))))))))))) % 51.14/51.35 (assume @p11 (forall @t9 (=> @t30 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t24 (=> @t66 (forall @t20 (=> @t18 (forall @t65 (=> @t64 (forall @t63 (=> @t62 (=> @t61 @t58))))))))))))))) % 51.14/51.35 (assume @p12 (forall @t9 (=> @t30 (= @t68 (forall @t7 (=> @t6 (forall @t24 (=> @t66 (forall @t20 (=> @t18 (forall @t65 (=> @t64 (forall @t63 (=> @t62 (=> @t61 @t67))))))))))))))) % 51.14/51.35 (assume @p13 (forall @t9 (=> @t30 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t24 (=> @t66 (forall @t20 (=> @t18 (forall @t65 (=> @t64 (forall @t63 (=> @t62 (=> @t61 (not @t69)))))))))))))))) % 51.14/51.35 (assume @p14 (forall @t9 (=> @t30 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t24 (=> @t66 (forall @t20 (=> @t18 (forall @t65 (=> @t64 (=> (= (tptp.app @t14 (tptp.cons @t1 (tptp.cons @t16 @t60))) @t2) @t69))))))))))))) % 51.14/51.35 (assume @p15 (forall @t9 (=> @t30 (forall @t7 (=> @t39 @t5))))) % 51.14/51.35 (assume @p16 @t74) % 51.14/51.35 (assume @p17 @t75) % 51.14/51.35 (assume @p18 @t80) % 51.14/51.35 (assume @p19 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (forall @t24 (=> @t66 (forall @t20 (=> (tptp.ssItem @t14) (=> (= (tptp.cons @t16 @t2) (tptp.cons @t14 @t1)) (and (= @t16 @t14) @t81))))))))))) % 51.14/51.35 (assume @p20 (forall @t9 (=> @t30 (or @t83 (exists @t7 (and @t39 (exists @t24 (and @t66 (= @t82 @t2))))))))) % 51.14/51.35 (assume @p21 (forall @t9 (=> @t30 (forall @t7 (=> @t6 (not (= tptp.nil @t70))))))) % 51.14/51.35 (assume @p22 (forall @t9 (=> @t30 (=> @t85 (tptp.ssItem @t84))))) % 51.14/51.35 (assume @p23 (forall @t9 (=> @t30 (forall @t7 (=> @t6 (= (tptp.hd @t70) @t1)))))) % 51.14/51.35 (assume @p24 (forall @t9 (=> @t30 (=> @t85 (tptp.ssList @t86))))) % 51.14/51.35 (assume @p25 @t91) % 51.14/51.35 (assume @p26 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (tptp.ssList @t92)))))) % 51.14/51.35 (assume @p27 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (forall @t24 (=> @t66 (= (tptp.cons @t16 @t93) (tptp.app @t82 @t2))))))))) % 51.14/51.35 (assume @p28 @t96) % 51.14/51.35 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t98 @t97) @t3)))))) % 51.14/51.35 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t24 (=> @t66 (=> (and @t98 @t58) (tptp.leq @t2 @t16))))))))) % 51.14/51.35 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 51.14/51.35 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t99 @t97)))))) % 51.14/51.35 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t101 (not @t100))))))) % 51.14/51.35 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t24 (=> @t66 (=> (and @t101 @t67) @t102)))))))) % 51.14/51.35 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t103 @t100)))))) % 51.14/51.35 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t39 (forall @t24 (=> @t22 (= (tptp.memberP @t34 @t2) (or (tptp.memberP @t1 @t2) @t104))))))))) % 51.14/51.35 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t24 (=> @t22 (= (tptp.memberP (tptp.cons @t1 @t16) @t2) (or @t3 @t104))))))))) % 51.14/51.35 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 51.14/51.35 (assume @p39 (not (tptp.singletonP tptp.nil))) % 51.14/51.35 (assume @p40 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (forall @t24 (=> @t22 (=> (and @t37 (tptp.frontsegP @t1 @t16)) (tptp.frontsegP @t2 @t16))))))))) % 51.14/51.35 (assume @p41 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (=> (and @t37 (tptp.frontsegP @t1 @t2)) @t3)))))) % 51.14/51.35 (assume @p42 @t106) % 51.14/51.35 (assume @p43 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (forall @t24 (=> @t22 (=> @t37 (tptp.frontsegP (tptp.app @t2 @t16) @t1))))))))) % 51.14/51.35 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (= (tptp.frontsegP (tptp.cons @t2 @t16) @t15) (and @t3 (tptp.frontsegP @t16 @t14)))))))))))) % 51.14/51.35 (assume @p45 (forall @t9 (=> @t30 (tptp.frontsegP @t2 tptp.nil)))) % 51.14/51.35 (assume @p46 (forall @t9 (=> @t30 (= (tptp.frontsegP tptp.nil @t2) @t83)))) % 51.14/51.35 (assume @p47 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (forall @t24 (=> @t22 (=> (and @t45 (tptp.rearsegP @t1 @t16)) (tptp.rearsegP @t2 @t16))))))))) % 51.14/51.35 (assume @p48 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (=> (and @t45 (tptp.rearsegP @t1 @t2)) @t3)))))) % 51.14/51.35 (assume @p49 (forall @t9 (=> @t30 (tptp.rearsegP @t2 @t2)))) % 51.14/51.35 (assume @p50 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (forall @t24 (=> @t22 (=> @t45 (tptp.rearsegP @t107 @t1))))))))) % 51.14/51.35 (assume @p51 (forall @t9 (=> @t30 (tptp.rearsegP @t2 tptp.nil)))) % 51.14/51.35 (assume @p52 (forall @t9 (=> @t30 (= (tptp.rearsegP tptp.nil @t2) @t83)))) % 51.14/51.35 (assume @p53 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (forall @t24 (=> @t22 (=> (and @t51 (tptp.segmentP @t1 @t16)) (tptp.segmentP @t2 @t16))))))))) % 51.14/51.35 (assume @p54 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (=> (and @t51 @t108) @t3)))))) % 51.14/51.35 (assume @p55 @t110) % 51.14/51.35 (assume @p56 @t119) % 51.14/51.35 (assume @p57 (forall @t9 (=> @t30 (tptp.segmentP @t2 tptp.nil)))) % 51.14/51.35 (assume @p58 (forall @t9 (=> @t30 (= (tptp.segmentP tptp.nil @t2) @t83)))) % 51.14/51.35 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t120)))) % 51.14/51.35 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 51.14/51.35 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t120)))) % 51.14/51.35 (assume @p62 (tptp.totalorderP tptp.nil)) % 51.14/51.35 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t120)))) % 51.14/51.35 (assume @p64 (tptp.strictorderP tptp.nil)) % 51.14/51.35 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t120)))) % 51.14/51.35 (assume @p66 (tptp.totalorderedP tptp.nil)) % 51.14/51.35 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t39 (= (tptp.totalorderedP @t124) (or @t122 (and @t123 (tptp.totalorderedP @t1) (tptp.leq @t2 @t121))))))))) % 51.14/51.35 (assume @p68 @t126) % 51.14/51.35 (assume @p69 @t127) % 51.14/51.35 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t39 (= (tptp.strictorderedP @t124) (or @t122 (and @t123 (tptp.strictorderedP @t1) (tptp.lt @t2 @t121))))))))) % 51.14/51.35 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t120)))) % 51.14/51.35 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 51.14/51.35 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t120)))) % 51.14/51.35 (assume @p74 (tptp.equalelemsP tptp.nil)) % 51.14/51.35 (assume @p75 (forall @t9 (=> @t30 (=> @t85 (exists @t7 (and @t6 (= @t84 @t1))))))) % 51.14/51.35 (assume @p76 (forall @t9 (=> @t30 (=> @t85 (exists @t7 (and @t39 (= @t86 @t1))))))) % 51.14/51.35 (assume @p77 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (=> (and @t123 @t85 (= @t121 @t84) (= (tptp.tl @t1) @t86)) @t81)))))) % 51.14/51.35 (assume @p78 (forall @t9 (=> @t30 (=> @t85 (= (tptp.cons @t84 @t86) @t2))))) % 51.14/51.35 (assume @p79 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (forall @t24 (=> @t22 (=> (= @t44 @t92) @t128)))))))) % 51.14/51.35 (assume @p80 @t136) % 51.14/51.35 (assume @p81 @t140) % 51.14/51.35 (assume @p82 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (forall @t24 (=> @t22 (= (tptp.app @t92 @t16) (tptp.app @t2 @t34))))))))) % 51.14/51.35 (assume @p83 @t147) % 51.14/51.35 (assume @p84 @t150) % 51.14/51.35 (assume @p85 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (=> @t85 (= (tptp.hd @t92) @t84))))))) % 51.14/51.35 (assume @p86 (forall @t9 (=> @t30 (forall @t7 (=> @t39 (=> @t85 (= (tptp.tl @t92) (tptp.app @t86 @t1)))))))) % 51.14/51.35 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t99 (tptp.geq @t1 @t2)) @t3)))))) % 51.14/51.35 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t24 (=> @t66 (=> (and @t99 (tptp.geq @t1 @t16)) (tptp.geq @t2 @t16))))))))) % 51.14/51.35 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 51.14/51.35 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 51.14/51.35 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t24 (=> @t66 (=> (and @t98 @t67) @t102)))))))) % 51.14/51.35 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t98 (or @t3 @t101))))))) % 51.14/51.35 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t101 (and @t4 @t98))))))) % 51.14/51.35 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t103 (not (tptp.gt @t1 @t2)))))))) % 51.14/51.35 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t24 (=> @t66 (=> (and @t103 (tptp.gt @t1 @t16)) (tptp.gt @t2 @t16))))))))) % 51.14/51.35 (assume @p96 @t182) % 51.14/51.35 (assume @p97 true) % 51.14/51.35 (step @p98 :rule aci_norm :args ((= @t192 (or @t190 @t189 @t188)))) % 51.14/51.35 (step @p99 :rule cong :premises (@p98) :args (@t193)) % 51.14/51.35 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t195) @t193))) % 51.14/51.35 (step @p101 :rule alpha_equiv :args (@t196 (@list @t184) @t197)) % 51.14/51.35 (step @p102 :rule refl :args (@t190)) % 51.14/51.35 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t198)) % 51.14/51.35 (step @p104 :rule quant-miniscope-or :args ((= @t195 @t198))) % 51.14/51.35 (step @p105 :rule trans :premises (@p104 @p103)) % 51.14/51.35 (step @p106 :rule symm :premises (@p105)) % 51.14/51.35 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t190 @t203)))) % 51.14/51.35 (step @p108 :rule trans :premises (@p107 @p100)) % 51.14/51.35 (step @p109 :rule trans :premises (@p108 @p99)) % 51.14/51.35 (step @p110 :rule bool-impl-elim :args (@t30 @t203)) % 51.14/51.35 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t30 @t203)))) % 51.14/51.35 (step @p112 :rule trans :premises (@p111 @p109)) % 51.14/51.35 (step @p113 :rule bool-impl-elim :args (@t39 @t201)) % 51.14/51.35 (step @p114 :rule cong :premises (@p113) :args ((forall @t7 (=> @t39 @t201)))) % 51.14/51.35 (step @p115 :rule aci_norm :args ((= @t205 @t200))) % 51.14/51.35 (step @p116 :rule cong :premises (@p115) :args (@t206)) % 51.14/51.35 (step @p117 :rule quant-merge-prenex :args ((= (forall @t24 @t208) @t206))) % 51.14/51.35 (step @p118 :rule alpha_equiv :args (@t209 (@list @t183) @t210)) % 51.14/51.35 (step @p119 :rule refl :args (@t186)) % 51.14/51.35 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t211)) % 51.14/51.35 (step @p121 :rule quant-miniscope-or :args ((= @t208 @t211))) % 51.14/51.35 (step @p122 :rule trans :premises (@p121 @p120)) % 51.14/51.35 (step @p123 :rule symm :premises (@p122)) % 51.14/51.35 (step @p124 :rule cong :premises (@p123) :args ((forall @t24 (or @t186 @t214)))) % 51.14/51.35 (step @p125 :rule trans :premises (@p124 @p117)) % 51.14/51.35 (step @p126 :rule trans :premises (@p125 @p116)) % 51.14/51.35 (step @p127 :rule bool-double-not-elim :args (@t214)) % 51.14/51.35 (step @p128 :rule nary_cong :premises (@p119 @p127) :args ((or @t186 (not @t215)))) % 51.14/51.35 (step @p129 :rule bool-and-de-morgan :args (@t22 @t215 true)) % 51.14/51.35 (step @p130 :rule trans :premises (@p129 @p128)) % 51.14/51.35 (step @p131 :rule cong :premises (@p130) :args (@t217)) % 51.14/51.35 (step @p132 :rule trans :premises (@p131 @p126)) % 51.14/51.35 (step @p133 :rule cong :premises (@p132) :args (@t218)) % 51.14/51.35 (step @p134 :rule exists-elim :args ((= (exists @t24 @t216) @t218))) % 51.14/51.35 (step @p135 :rule trans :premises (@p134 @p133)) % 51.14/51.35 (step @p136 :rule bool-and-de-morgan :args (@t18 @t212 true)) % 51.14/51.35 (step @p137 :rule cong :premises (@p136) :args (@t220)) % 51.14/51.35 (step @p138 :rule cong :premises (@p137) :args (@t221)) % 51.14/51.35 (step @p139 :rule exists-elim :args ((= (exists @t20 @t219) @t221))) % 51.14/51.35 (step @p140 :rule trans :premises (@p139 @p138)) % 51.14/51.35 (step @p141 :rule eq-symm :args (@t46 @t2)) % 51.14/51.35 (step @p142 :rule refl :args (@t18)) % 51.14/51.35 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t47)) % 51.14/51.35 (step @p144 :rule cong :premises (@p143) :args (@t48)) % 51.14/51.35 (step @p145 :rule trans :premises (@p144 @p140)) % 51.14/51.35 (step @p146 :rule refl :args (@t22)) % 51.14/51.35 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t49)) % 51.14/51.35 (step @p148 :rule cong :premises (@p147) :args (@t50)) % 51.14/51.35 (step @p149 :rule trans :premises (@p148 @p135)) % 51.14/51.35 (step @p150 :rule refl :args (@t51)) % 51.14/51.35 (step @p151 :rule cong :premises (@p150 @p149) :args (@t52)) % 51.14/51.35 (step @p152 :rule refl :args (@t39)) % 51.14/51.35 (step @p153 :rule cong :premises (@p152 @p151) :args (@t53)) % 51.14/51.35 (step @p154 :rule cong :premises (@p153) :args (@t54)) % 51.14/51.35 (step @p155 :rule trans :premises (@p154 @p114)) % 51.14/51.35 (step @p156 :rule refl :args (@t30)) % 51.14/51.35 (step @p157 :rule cong :premises (@p156 @p155) :args (@t55)) % 51.14/51.35 (step @p158 :rule cong :premises (@p157) :args (@t56)) % 51.14/51.35 (step @p159 :rule trans :premises (@p158 @p112)) % 51.14/51.35 (step @p160 :rule eq_resolve :premises (@p7 @p159)) % 51.14/51.35 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t233 @t232))) % 51.14/51.35 (step @p162 :rule refl :args (@t223)) % 51.14/51.35 (step @p163 :rule eq-symm :args (@t224 tptp.nil)) % 51.14/51.35 (step @p164 :rule cong :premises (@p163) :args (@t234)) % 51.14/51.35 (step @p165 :rule nary_cong :premises (@p164 @p162) :args (@t235)) % 51.14/51.35 (step @p166 :rule refl :args (@t227)) % 51.14/51.35 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t236)) % 51.14/51.35 (step @p168 :rule refl :args (@t228)) % 51.14/51.35 (step @p169 :rule refl :args (@t229)) % 51.14/51.35 (step @p170 :rule refl :args (@t190)) % 51.14/51.35 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p167) :args (@t237)) % 51.14/51.35 (step @p172 :rule aci_norm :args ((= @t239 @t237))) % 51.14/51.35 (step @p173 :rule trans :premises (@p172 @p171)) % 51.14/51.35 (step @p174 :rule cong :premises (@p173) :args (@t240)) % 51.14/51.35 (step @p175 :rule quant-merge-prenex :args ((= (forall @t9 @t242) @t240))) % 51.14/51.35 (step @p176 :rule alpha_equiv :args (@t243 (@list 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51.14/51.35 (step @p232 :rule trans :premises (@p231 @p222)) % 51.14/51.35 (step @p233 :rule quant-var-elim-eq :args ((= (forall @t24 (or (not @t128) @t186 @t171 @t291)) @t287))) % 51.14/51.35 (step @p234 :rule refl :args (@t291)) % 51.14/51.35 (step @p235 :rule refl :args (@t171)) % 51.14/51.35 (step @p236 :rule eq-symm :args (@t2 @t16)) % 51.14/51.35 (step @p237 :rule cong :premises (@p236) :args (@t171)) % 51.14/51.35 (step @p238 :rule nary_cong :premises (@p237 @p119 @p235 @p234) :args (@t292)) % 51.14/51.35 (step @p239 :rule aci_norm :args ((= @t293 @t292))) % 51.14/51.35 (step @p240 :rule trans :premises (@p239 @p238)) % 51.14/51.35 (step @p241 :rule cong :premises (@p240) :args (@t294)) % 51.14/51.35 (step @p242 :rule trans :premises (@p241 @p233)) % 51.14/51.35 (step @p243 :rule cong :premises (@p242) :args (@t295)) % 51.14/51.35 (step @p244 :rule quant-merge-prenex :args ((= @t295 @t296))) % 51.14/51.35 (step @p245 :rule symm :premises (@p244)) % 51.14/51.35 (step @p246 :rule quant_var_reordering :args ((= @t297 @t296))) % 51.14/51.35 (step @p247 :rule trans :premises (@p246 @p245 @p243)) % 51.14/51.35 (step @p248 :rule trans :premises (@p247 @p232)) % 51.14/51.35 (step @p249 :rule quant-merge-prenex :args ((= (forall @t24 @t298) @t297))) % 51.14/51.35 (step @p250 :rule quant-unused-vars :args ((= @t299 @t289))) % 51.14/51.35 (step @p251 :rule alpha_equiv :args (@t300 @t280 @t302)) % 51.14/51.35 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t303)) % 51.14/51.35 (step @p253 :rule quant-miniscope-and :args ((= @t304 @t303))) % 51.14/51.35 (step @p254 :rule trans :premises (@p253 @p252)) % 51.14/51.35 (step @p255 :rule nary_cong :premises (@p119 @p235 @p254) :args (@t305)) % 51.14/51.35 (step @p256 :rule quant-miniscope-or :args ((= @t298 @t305))) % 51.14/51.35 (step @p257 :rule trans :premises (@p256 @p255)) % 51.14/51.35 (step @p258 :rule symm :premises (@p257)) % 51.14/51.35 (step @p259 :rule cong :premises (@p258) :args (@t308)) % 51.14/51.35 (step @p260 :rule trans :premises (@p259 @p249)) % 51.14/51.35 (step @p261 :rule trans :premises (@p260 @p248)) % 51.14/51.35 (step @p262 :rule refl :args (@t202)) % 51.14/51.35 (step @p263 :rule refl :args (@t151)) % 51.14/51.35 (step @p264 :rule nary_cong :premises (@p263 @p262 @p261) :args (@t309)) % 51.14/51.35 (step @p265 :rule trans :premises (@p264 @p214)) % 51.14/51.35 (step @p266 :rule quant-miniscope-or :args ((= (forall @t24 @t310) @t309))) % 51.14/51.35 (step @p267 :rule aci_norm :args ((= @t311 @t310))) % 51.14/51.35 (step @p268 :rule cong :premises (@p267) :args ((forall @t24 @t311))) % 51.14/51.35 (step @p269 :rule trans :premises (@p268 @p266)) % 51.14/51.35 (step @p270 :rule trans :premises (@p269 @p265)) % 51.14/51.35 (step @p271 :rule aci_norm :args ((= (or @t186 @t312) @t311))) % 51.14/51.35 (step @p272 :rule bool-impl-elim :args (@t22 @t312)) % 51.14/51.35 (step @p273 :rule trans :premises (@p272 @p271)) % 51.14/51.35 (step @p274 :rule cong :premises (@p273) :args 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@p288 :rule cong :premises (@p287) :args (@t328)) % 51.14/51.35 (step @p289 :rule trans :premises (@p288 @p225)) % 51.14/51.35 (step @p290 :rule nary_cong :premises (@p262 @p289 @p286) :args (@t329)) % 51.14/51.35 (step @p291 :rule trans :premises (@p290 @p285)) % 51.14/51.35 (step @p292 :rule cong :premises (@p291) :args ((forall @t314 @t329))) % 51.14/51.35 (step @p293 :rule trans :premises (@p292 @p284)) % 51.14/51.35 (step @p294 :rule quant-var-elim-eq :args ((= (forall @t20 (or (not (= @t14 @t1)) @t213 @t172 @t333)) @t329))) % 51.14/51.35 (step @p295 :rule refl :args (@t333)) % 51.14/51.35 (step @p296 :rule refl :args (@t172)) % 51.14/51.35 (step @p297 :rule refl :args (@t213)) % 51.14/51.35 (step @p298 :rule eq-symm :args (@t1 @t14)) % 51.14/51.35 (step @p299 :rule cong :premises (@p298) :args (@t172)) % 51.14/51.35 (step @p300 :rule nary_cong :premises (@p299 @p297 @p296 @p295) :args (@t334)) % 51.14/51.35 (step @p301 :rule aci_norm :args ((= @t335 @t334))) % 51.14/51.35 (step @p302 :rule trans :premises (@p301 @p300)) % 51.14/51.35 (step @p303 :rule cong :premises (@p302) :args (@t336)) % 51.14/51.35 (step @p304 :rule trans :premises (@p303 @p294)) % 51.14/51.35 (step @p305 :rule cong :premises (@p304) :args (@t337)) % 51.14/51.35 (step @p306 :rule quant-merge-prenex :args ((= @t337 @t338))) % 51.14/51.35 (step @p307 :rule symm :premises (@p306)) % 51.14/51.35 (step @p308 :rule quant_var_reordering :args ((= (forall @t339 @t335) @t338))) % 51.14/51.35 (step @p309 :rule trans :premises (@p308 @p307 @p305)) % 51.14/51.35 (step @p310 :rule trans :premises (@p309 @p293)) % 51.14/51.35 (step @p311 :rule refl :args (@t330)) % 51.14/51.35 (step @p312 :rule refl :args (@t316)) % 51.14/51.35 (step @p313 :rule refl :args (@t331)) % 51.14/51.35 (step @p314 :rule eq-symm :args (@t313 @t59)) % 51.14/51.35 (step @p315 :rule refl :args (@t226)) % 51.14/51.35 (step @p316 :rule nary_cong :premises (@p315 @p314 @p313 @p312) :args (@t340)) % 51.14/51.35 (step @p317 :rule cong :premises (@p316) :args (@t341)) % 51.14/51.35 (step @p318 :rule cong :premises (@p317) :args (@t342)) % 51.14/51.35 (step @p319 :rule refl :args (@t332)) % 51.14/51.35 (step @p320 :rule refl :args (@t318)) % 51.14/51.35 (step @p321 :rule refl :args (@t319)) % 51.14/51.35 (step @p322 :rule nary_cong :premises (@p321 @p320 @p319 @p318) :args (@t343)) % 51.14/51.35 (step @p323 :rule nary_cong :premises (@p322 @p311) :args (@t344)) % 51.14/51.35 (step @p324 :rule refl :args (@t172)) % 51.14/51.35 (step @p325 :rule refl :args (@t213)) % 51.14/51.35 (step @p326 :rule nary_cong :premises (@p325 @p324 @p323) :args (@t345)) % 51.14/51.35 (step @p327 :rule cong :premises (@p326) :args (@t346)) % 51.14/51.35 (step @p328 :rule trans :premises (@p327 @p310)) % 51.14/51.35 (step @p329 :rule quant-merge-prenex :args ((= (forall @t20 @t347) @t346))) % 51.14/51.35 (step @p330 :rule quant-unused-vars :args ((= @t348 @t330))) % 51.14/51.35 (step @p331 :rule alpha_equiv :args (@t349 @t322 (@list @t60))) % 51.14/51.35 (step @p332 :rule nary_cong :premises (@p331 @p330) :args (@t350)) % 51.14/51.35 (step @p333 :rule quant-miniscope-and :args ((= @t351 @t350))) % 51.14/51.35 (step @p334 :rule trans :premises (@p333 @p332)) % 51.14/51.35 (step @p335 :rule nary_cong :premises (@p297 @p296 @p334) :args (@t352)) % 51.14/51.35 (step @p336 :rule quant-miniscope-or :args ((= @t347 @t352))) % 51.14/51.35 (step @p337 :rule trans :premises (@p336 @p335)) % 51.14/51.35 (step @p338 :rule symm :premises (@p337)) % 51.14/51.35 (step @p339 :rule cong :premises (@p338) :args (@t360)) % 51.14/51.35 (step @p340 :rule trans :premises (@p339 @p329)) % 51.14/51.35 (step @p341 :rule trans :premises (@p340 @p328)) % 51.14/51.35 (step @p342 :rule refl :args (@t171)) % 51.14/51.35 (step @p343 :rule nary_cong :premises (@p342 @p263 @p341) :args (@t361)) % 51.14/51.35 (step @p344 :rule trans :premises (@p343 @p276)) % 51.14/51.35 (step @p345 :rule quant-miniscope-or :args ((= (forall @t20 @t362) @t361))) % 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(step @p360 :rule aci_norm :args ((= (or @t356 @t365) @t357))) % 51.14/51.35 (step @p361 :rule bool-impl-elim :args (@t166 @t365)) % 51.14/51.35 (step @p362 :rule trans :premises (@p361 @p360)) % 51.14/51.35 (step @p363 :rule cong :premises (@p362) :args ((forall @t65 (=> @t166 @t365)))) % 51.14/51.35 (step @p364 :rule refl :args (@t353)) % 51.14/51.35 (step @p365 :rule refl :args (@t331)) % 51.14/51.35 (step @p366 :rule bool-double-not-elim :args (@t157)) % 51.14/51.35 (step @p367 :rule refl :args (@t226)) % 51.14/51.35 (step @p368 :rule nary_cong :premises (@p367 @p366 @p365 @p364) :args (@t367)) % 51.14/51.35 (step @p369 :rule aci_norm :args ((= (or @t226 (or @t366 (or @t331 @t353))) @t367))) % 51.14/51.35 (step @p370 :rule trans :premises (@p369 @p368)) % 51.14/51.35 (step @p371 :rule bool-and-de-morgan :args (@t156 @t155 true)) % 51.14/51.35 (step @p372 :rule refl :args (@t366)) % 51.14/51.35 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or @t366 (not (and @t156 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(step @p1060 :rule cong :premises (@p1059) :args (@t72)) % 51.14/51.35 (step @p1061 :rule cong :premises (@p156 @p1060) :args (@t73)) % 51.14/51.35 (step @p1062 :rule cong :premises (@p1061) :args (@t74)) % 51.14/51.35 (step @p1063 :rule trans :premises (@p1062 @p1058)) % 51.14/51.35 (step @p1064 :rule eq_resolve :premises (@p16 @p1063)) % 51.14/51.35 (step @p1065 :rule instantiate :premises (@p1064) :args (@t673)) % 51.14/51.35 (step @p1066 :rule cnf_or_pos :args (@t675)) % 51.14/51.35 (step @p1067 :rule reordering :premises (@p1066) :args ((or @t382 @t657 @t674 (not @t675)))) % 51.14/51.35 (step @p1068 :rule aci_norm :args ((= @t680 (or @t190 @t678 @t677)))) % 51.14/51.35 (step @p1069 :rule cong :premises (@p1068) :args (@t681)) % 51.14/51.35 (step @p1070 :rule quant-merge-prenex :args ((= (forall @t9 @t683) @t681))) % 51.14/51.35 (step @p1071 :rule alpha_equiv :args (@t684 (@list @t676) @t197)) % 51.14/51.35 (step @p1072 :rule nary_cong :premises (@p102 @p1071) :args (@t685)) % 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quant-merge-prenex :args ((= (forall @t7 @t720) @t718))) % 51.14/51.35 (step @p1112 :rule alpha_equiv :args (@t721 (@list @t707 @t706) (@list @t16 @t722))) % 51.14/51.35 (step @p1113 :rule refl :args (@t712)) % 51.14/51.35 (step @p1114 :rule nary_cong :premises (@p196 @p1113 @p1112) :args (@t723)) % 51.14/51.35 (step @p1115 :rule quant-miniscope-or :args ((= @t720 @t723))) % 51.14/51.35 (step @p1116 :rule trans :premises (@p1115 @p1114)) % 51.14/51.35 (step @p1117 :rule symm :premises (@p1116)) % 51.14/51.35 (step @p1118 :rule cong :premises (@p1117) :args ((forall @t7 @t729))) % 51.14/51.35 (step @p1119 :rule trans :premises (@p1118 @p1111)) % 51.14/51.35 (step @p1120 :rule trans :premises (@p1119 @p1110)) % 51.14/51.35 (step @p1121 :rule aci_norm :args ((= (or @t202 @t730) @t729))) % 51.14/51.35 (step @p1122 :rule bool-impl-elim :args (@t39 @t730)) % 51.14/51.35 (step @p1123 :rule trans :premises (@p1122 @p1121)) % 51.14/51.35 (step @p1124 :rule cong :premises (@p1123) :args ((forall 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:rule cong :premises (@p1164) :args (@t117)) % 51.14/51.35 (step @p1166 :rule trans :premises (@p1165 @p1125)) % 51.14/51.35 (step @p1167 :rule cong :premises (@p156 @p1166) :args (@t118)) % 51.14/51.35 (step @p1168 :rule cong :premises (@p1167) :args (@t119)) % 51.14/51.35 (step @p1169 :rule trans :premises (@p1168 @p1108)) % 51.14/51.35 (step @p1170 :rule eq_resolve :premises (@p56 @p1169)) % 51.14/51.35 (step @p1171 :rule instantiate :premises (@p1170) :args ((@list @t232 @t232 tptp.nil @t650))) % 51.14/51.35 (step @p1172 :rule cnf_or_pos :args (@t750)) % 51.14/51.35 (step @p1173 :rule factoring :premises (@p1172)) % 51.14/51.35 (step @p1174 :rule reordering :premises (@p1173) :args ((or @t412 @t391 @t749 @t657 @t748 (not @t750)))) % 51.14/51.35 (step @p1175 :rule refl :args (@t753)) % 51.14/51.35 (step @p1176 :rule refl :args (@t655)) % 51.14/51.35 (step @p1177 :rule refl :args (@t754)) % 51.14/51.35 (step @p1178 :rule bool-double-not-elim :args (@t386)) % 51.14/51.35 (step @p1179 :rule nary_cong :premises (@p1178 @p1177 @p1176 @p1175) :args ((or (not @t755) @t754 @t655 @t753))) % 51.14/51.35 (assume-push @p1369 @t755) % 51.14/51.35 (assume-push @p1370 @t532) % 51.14/51.35 (assume-push @p1371 @t654) % 51.14/51.35 (assume-push @p1372 @t755) % 51.14/51.35 (assume-push @p1373 @t532) % 51.14/51.35 (assume-push @p1374 @t654) % 51.14/51.35 (step @p1186 :rule false_intro :premises (@p1369)) % 51.14/51.35 (step @p1187 :rule refl :args (@t232)) % 51.14/51.35 (step @p491 :rule refl :args (tptp.nil)) % 51.14/51.35 (step @p1188 :rule symm :premises (@p1371)) % 51.14/51.35 (step @p1189 :rule cong :premises (@p1188 @p491) :args (@t751)) % 51.14/51.35 (step @p1190 :rule trans :premises (@p1189 @p708)) % 51.14/51.35 (step @p1191 :rule cong :premises (@p1190 @p1187) :args (@t752)) % 51.14/51.35 (step @p1192 :rule trans :premises (@p1191 @p1186)) % 51.14/51.35 (step @p1193 :rule false_elim :premises (@p1192)) % 51.14/51.35 (step-pop @p1375 :rule scope :premises (@p1193)) % 51.14/51.35 (step-pop @p1376 :rule scope :premises (@p1375)) % 51.14/51.35 (step-pop @p1377 :rule scope :premises (@p1376)) % 51.14/51.35 (step @p1194 :rule process_scope :premises (@p1377) :args (@t753)) % 51.14/51.35 (step @p1198 :rule and_intro :premises (@p1369 @p707 @p1371)) % 51.14/51.35 (step @p1199 :rule modus_ponens :premises (@p1198 @p1194)) % 51.14/51.35 (step-pop @p1378 :rule scope :premises (@p1199)) % 51.14/51.35 (step-pop @p1379 :rule scope :premises (@p1378)) % 51.14/51.35 (step-pop @p1380 :rule scope :premises (@p1379)) % 51.14/51.35 (step @p1200 :rule process_scope :premises (@p1380) :args (@t753)) % 51.14/51.35 (step @p1204 :rule implies_elim :premises (@p1200)) % 51.14/51.35 (step @p1205 :rule cnf_and_neg :args (@t756)) % 51.14/51.35 (step @p1206 :rule resolution :premises (@p1205 @p1204) :args (true @t756)) % 51.14/51.35 (step @p1207 :rule eq_resolve :premises (@p1206 @p1179)) % 51.14/51.35 (assume-push @p1381 @t379) % 51.14/51.35 (assume-push @p1382 @t416) % 51.14/51.35 (assume-push @p1383 @t688) % 51.14/51.35 (assume-push @p1384 @t748) % 51.14/51.35 (assume-push @p1385 @t748) % 51.14/51.35 (assume-push @p1386 @t416) % 51.14/51.35 (assume-push @p1387 @t379) % 51.14/51.35 (assume-push @p1388 @t688) % 51.14/51.35 (step @p1216 :rule true_intro :premises (@p1384)) % 51.14/51.35 (step @p1187 :rule refl :args (@t232)) % 51.14/51.35 (step @p1217 :rule refl :args (@t650)) % 51.14/51.35 (step @p1218 :rule cong :premises (@p473 @p1217) :args ((tptp.app @t232 @t650))) % 51.14/51.35 (step @p1219 :rule symm :premises (@p1381)) % 51.14/51.35 (step @p1220 :rule cong :premises (@p1219 @p1217) :args (@t687)) % 51.14/51.35 (step @p1221 :rule trans :premises (@p1383 @p1220 @p1218)) % 51.14/51.35 (step @p1222 :rule cong :premises (@p1221 @p1187) :args (@t757)) % 51.14/51.35 (step @p1223 :rule trans :premises (@p1222 @p1216)) % 51.14/51.35 (step @p1224 :rule true_elim :premises (@p1223)) % 51.14/51.35 (step-pop @p1389 :rule scope :premises (@p1224)) % 51.14/51.35 (step-pop @p1390 :rule scope :premises (@p1389)) % 51.14/51.35 (step-pop @p1391 :rule scope :premises (@p1390)) % 51.14/51.35 (step-pop @p1392 :rule scope :premises (@p1391)) % 51.14/51.35 (step @p1225 :rule process_scope :premises (@p1392) :args (@t757)) % 51.14/51.35 (step @p1230 :rule and_intro :premises (@p1384 @p473 @p1381 @p1383)) % 51.14/51.35 (step @p1231 :rule modus_ponens :premises (@p1230 @p1225)) % 51.14/51.35 (step-pop @p1393 :rule scope :premises (@p1231)) % 51.14/51.35 (step-pop @p1394 :rule scope :premises (@p1393)) % 51.14/51.35 (step-pop @p1395 :rule scope :premises (@p1394)) % 51.14/51.35 (step-pop @p1396 :rule scope :premises (@p1395)) % 51.14/51.35 (step @p1232 :rule process_scope :premises (@p1396) :args (@t757)) % 51.14/51.35 (step @p1237 :rule implies_elim :premises (@p1232)) % 51.14/51.35 (step @p1238 :rule cnf_and_neg :args (@t758)) % 51.14/51.35 (step @p1239 :rule resolution :premises (@p1238 @p1237) :args (true @t758)) % 51.14/51.35 (step @p1240 :rule reordering :premises (@p1239) :args ((or @t380 @t426 @t757 (not @t688) (not @t748)))) % 51.14/51.35 (step @p1241 :rule instantiate :premises (@p1170) :args ((@list @t651 @t232 @t652 tptp.nil))) % 51.14/51.35 (step @p1242 :rule cnf_or_pos :args (@t761)) % 51.14/51.35 (step @p1243 :rule reordering :premises (@p1242) :args ((or @t412 @t391 @t659 @t760 @t759 @t752 (not @t761)))) % 51.14/51.35 (step @p1244 :rule chain_m_resolution :premises (@p1243 @p1241 @p444 @p17 @p1240 @p473 @p1207 @p707 @p1174 @p1171 @p1094 @p444 @p17 @p1090 @p1088 @p1067 @p1065 @p1044 @p1039 @p1034 @p1028 @p1019 @p1017 @p882 @p881 @p519 @p1012 @p988 @p17 @p986 @p981 @p956 @p437 @p430 @p407 @p954 @p949) :args ((or @t386 @t382 @t380) (@list false false false false false true false false false false false false false false false false false false false true true false true true false true true false false false false false true true false false) (@list @t761 @t390 @t75 @t757 @t416 @t752 @t532 @t748 @t750 @t690 @t390 @t75 @t688 @t689 @t674 @t675 @t654 @t656 @t658 @t660 @t627 @t376 @t383 @t384 @t374 @t370 @t646 @t75 @t648 @t645 @t629 @t388 @t392 @t231 @t630 @t626))) % 51.14/51.35 (step @p1245 :rule chain_m_resolution :premises (@p1244 @p892 @p887 @p882 @p881 @p879 @p508 @p484 @p473 @p462 @p17 @p459 @p454 @p447) :args (@t386 (@list false false true true false true false false true false false false false) (@list @t379 @t381 @t383 @t384 @t374 @t423 @t421 @t416 @t410 @t75 @t413 @t402 @t404))) % 51.14/51.35 (step @p1246 :rule cnf_or_neg :args (@t392 2)) % 51.14/51.35 (step @p1247 :rule chain_m_resolution :premises (@p1246 @p431) :args ((not @t387) @t400 @t401)) % 51.14/51.35 (step @p1248 :rule cnf_and_neg :args (@t387)) % 51.14/51.35 (step @p1249 :rule chain_m_resolution :premises (@p1248 @p1247 @p1245) :args (@t762 @t763 (@list @t387 @t386))) % 51.14/51.35 (step @p1250 :rule bool-double-not-elim :args (@t385)) % 51.14/51.35 (step @p1251 :rule refl :args (@t764)) % 51.14/51.35 (step @p1252 :rule nary_cong :premises (@p1251 @p828 @p1250) :args ((or @t764 @t371 @t765))) % 51.14/51.35 (assume-push @p1397 @t127) % 51.14/51.35 (assume-push @p1398 @t370) % 51.14/51.35 (assume-push @p1399 @t762) % 51.14/51.35 (step @p836 :rule evaluate :args (@t589)) % 51.14/51.35 (step @p1256 :rule true_intro :premises (@p69)) % 51.14/51.35 (step @p1257 :rule symm :premises (@p1398)) % 51.14/51.35 (step @p1258 :rule cong :premises (@p1257) :args (@t385)) % 51.14/51.35 (step @p1259 :rule false_intro :premises (@p1399)) % 51.14/51.35 (step @p1260 :rule symm :premises (@p1259)) % 51.14/51.35 (step @p1261 :rule trans :premises (@p1260 @p1258 @p1256)) % 51.14/51.35 (step @p1262 false :rule eq_resolve :premises (@p1261 @p836)) % 51.14/51.35 (step-pop @p1400 :rule scope :premises (@p1262)) % 51.14/51.35 (step-pop @p1401 :rule scope :premises (@p1400)) % 51.14/51.35 (step-pop @p1402 :rule scope :premises (@p1401)) % 51.14/51.35 (step @p1263 :rule process_scope :premises (@p1402) :args (false)) % 51.14/51.35 (step @p1267 :rule not_and :premises (@p1263)) % 51.14/51.35 (step @p1268 :rule eq_resolve :premises (@p1267 @p1252)) % 51.14/51.35 (step @p1269 :rule reordering :premises (@p1268) :args ((or @t764 @t385 @t371))) % 51.14/51.35 (step @p1270 :rule chain_m_resolution :premises (@p1269 @p69 @p1249) :args (@t371 (@list false true) (@list @t127 @t385))) % 51.14/51.35 (step @p1271 :rule chain_m_resolution :premises (@p519 @p1270) :args (@t374 @t400 (@list @t370))) % 51.14/51.35 (step @p1272 :rule chain_m_resolution :premises (@p882 @p881 @p1271) :args ((not @t383) @t763 (@list @t384 @t374))) % 51.14/51.35 (step @p1273 :rule chain_m_resolution :premises (@p892 @p1272) :args (@t379 @t400 @t766)) % 51.14/51.35 (step @p1274 :rule bool-impl-elim :args (@t8 @t125)) % 51.14/51.35 (step @p1275 :rule cong :premises (@p1274) :args (@t126)) % 51.14/51.35 (step @p1276 :rule eq_resolve :premises (@p68 @p1275)) % 51.14/51.35 (step @p1277 :rule instantiate :premises (@p1276) :args ((@list @t375))) % 51.14/51.35 (step @p1278 :rule chain_m_resolution :premises (@p887 @p1272) :args (@t381 @t400 @t766)) % 51.14/51.35 (step @p1279 :rule cnf_or_pos :args (@t768)) % 51.14/51.35 (step @p1280 :rule reordering :premises (@p1279) :args ((or @t382 @t767 (not @t768)))) % 51.14/51.35 (step @p1281 :rule chain_m_resolution :premises (@p1280 @p1278 @p1277) :args (@t767 @t418 (@list @t381 @t768))) % 51.14/51.35 (step @p1282 :rule refl :args (@t769)) % 51.14/51.35 (step @p1283 :rule nary_cong :premises (@p990 @p1250 @p1282) :args ((or @t380 @t765 @t769))) % 51.14/51.35 (assume-push @p1403 @t762) % 51.14/51.35 (assume-push @p1404 @t379) % 51.14/51.35 (assume-push @p1405 @t767) % 51.14/51.35 (step @p1287 :rule evaluate :args ((= true false))) % 51.14/51.35 (step @p1288 :rule false_intro :premises (@p1403)) % 51.14/51.35 (step @p1289 :rule symm :premises (@p1404)) % 51.14/51.35 (step @p1290 :rule cong :premises (@p1289) :args (@t767)) % 51.14/51.35 (step @p1291 :rule true_intro :premises (@p1405)) % 51.14/51.35 (step @p1292 :rule symm :premises (@p1291)) % 51.14/51.35 (step @p1293 :rule trans :premises (@p1292 @p1290 @p1288)) % 51.14/51.35 (step @p1294 false :rule eq_resolve :premises (@p1293 @p1287)) % 51.14/51.35 (step-pop @p1406 :rule scope :premises (@p1294)) % 51.14/51.35 (step-pop @p1407 :rule scope :premises (@p1406)) % 51.14/51.35 (step-pop @p1408 :rule scope :premises (@p1407)) % 51.14/51.35 (step @p1295 :rule process_scope :premises (@p1408) :args (false)) % 51.14/51.35 (assume-push @p1409 @t379) % 51.14/51.35 (assume-push @p1410 @t762) % 51.14/51.35 (assume-push @p1411 @t767) % 51.14/51.35 (step @p1302 :rule and_intro :premises (@p1410 @p1409 @p1411)) % 51.14/51.35 (step-pop @p1412 :rule scope :premises (@p1302)) % 51.14/51.35 (step-pop @p1413 :rule scope :premises (@p1412)) % 51.14/51.35 (step-pop @p1414 :rule scope :premises (@p1413)) % 51.14/51.35 (step @p1303 :rule process_scope :premises (@p1414) :args (@t770)) % 51.14/51.35 (step @p1307 :rule implies_elim :premises (@p1303)) % 51.14/51.35 (step @p1308 :rule resolution :premises (@p1307 @p1295) :args (true @t770)) % 51.14/51.35 (step @p1309 :rule not_and :premises (@p1308)) % 51.14/51.35 (step @p1310 :rule eq_resolve :premises (@p1309 @p1283)) % 51.14/51.35 (step @p1311 :rule reordering :premises (@p1310) :args ((or @t385 @t380 @t769))) % 51.14/51.35 (step @p1312 false :rule chain_m_resolution :premises (@p1311 @p1281 @p1273 @p1249) :args (false (@list false false true) (@list @t767 @t379 @t385))) % 51.14/51.35 ) % 51.14/51.35 % SZS output end Proof % 51.14/51.35 % cvc5 exiting %------------------------------------------------------------------------------