%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC306+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 : n002.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 08:58:48 AM UTC 2026 % Result : Theorem 72.35s 72.52s % Output : Proof 72.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC306+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 : n002.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 19:40:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 72.35/72.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 72.35/72.52 --- Run --no-e-matching --full-saturate-quant at 6... % 72.35/72.52 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 72.35/72.52 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 72.35/72.52 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 72.35/72.52 --- Run --trigger-sel=max --full-saturate-quant at 15... % 72.35/72.52 % SZS status Theorem % 72.35/72.52 % SZS output start Proof % 72.35/72.52 ( % 72.35/72.52 (declare-sort $$unsorted 0) % 72.35/72.52 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 72.35/72.52 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 72.35/72.52 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 72.35/72.52 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 72.35/72.52 (declare-const tptp.nil $$unsorted) % 72.35/72.52 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.ssList (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 72.35/72.52 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 72.35/72.52 (define @t1 () (@var "V" $$unsorted)) % 72.35/72.52 (define @t2 () (@var "U" $$unsorted)) % 72.35/72.52 (define @t3 () (= @t2 @t1)) % 72.35/72.52 (define @t4 () (not @t3)) % 72.35/72.52 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 72.35/72.52 (define @t6 () (tptp.ssItem @t1)) % 72.35/72.52 (define @t7 () (@list @t1)) % 72.35/72.52 (define @t8 () (tptp.ssItem @t2)) % 72.35/72.52 (define @t9 () (@list @t2)) % 72.35/72.52 (define @t10 () (@var "X" $$unsorted)) % 72.35/72.52 (define @t11 () (tptp.cons @t1 @t10)) % 72.35/72.52 (define @t12 () (@var "W" $$unsorted)) % 72.35/72.52 (define @t13 () (tptp.ssList @t10)) % 72.35/72.52 (define @t14 () (@list @t10)) % 72.35/72.52 (define @t15 () (tptp.ssList @t12)) % 72.35/72.52 (define @t16 () (@list @t12)) % 72.35/72.52 (define @t17 () (tptp.ssList @t2)) % 72.35/72.52 (define @t18 () (tptp.cons @t1 tptp.nil)) % 72.35/72.52 (define @t19 () (tptp.app @t1 @t12)) % 72.35/72.52 (define @t20 () (tptp.frontsegP @t2 @t1)) % 72.35/72.52 (define @t21 () (tptp.ssList @t1)) % 72.35/72.52 (define @t22 () (tptp.app @t12 @t1)) % 72.35/72.52 (define @t23 () (tptp.rearsegP @t2 @t1)) % 72.35/72.52 (define @t24 () (tptp.segmentP @t2 @t1)) % 72.35/72.52 (define @t25 () (tptp.leq @t12 @t1)) % 72.35/72.52 (define @t26 () (tptp.leq @t1 @t12)) % 72.35/72.52 (define @t27 () (@var "Z" $$unsorted)) % 72.35/72.52 (define @t28 () (@var "Y" $$unsorted)) % 72.35/72.52 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 72.35/72.52 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 72.35/72.52 (define @t31 () (= @t30 @t2)) % 72.35/72.52 (define @t32 () (tptp.ssList @t27)) % 72.35/72.52 (define @t33 () (@list @t27)) % 72.35/72.52 (define @t34 () (tptp.ssList @t28)) % 72.35/72.52 (define @t35 () (@list @t28)) % 72.35/72.53 (define @t36 () (tptp.ssItem @t12)) % 72.35/72.53 (define @t37 () (tptp.lt @t1 @t12)) % 72.35/72.53 (define @t38 () (=> @t31 @t37)) % 72.35/72.53 (define @t39 () (=> @t32 @t38)) % 72.35/72.53 (define @t40 () (forall @t33 @t39)) % 72.35/72.53 (define @t41 () (=> @t34 @t40)) % 72.35/72.53 (define @t42 () (forall @t35 @t41)) % 72.35/72.53 (define @t43 () (=> @t13 @t42)) % 72.35/72.53 (define @t44 () (forall @t14 @t43)) % 72.35/72.53 (define @t45 () (=> @t36 @t44)) % 72.35/72.53 (define @t46 () (forall @t16 @t45)) % 72.35/72.53 (define @t47 () (=> @t6 @t46)) % 72.35/72.53 (define @t48 () (forall @t7 @t47)) % 72.35/72.53 (define @t49 () (tptp.strictorderedP @t2)) % 72.35/72.53 (define @t50 () (= @t49 @t48)) % 72.35/72.53 (define @t51 () (=> @t17 @t50)) % 72.35/72.53 (define @t52 () (forall @t9 @t51)) % 72.35/72.53 (define @t53 () (= @t1 @t12)) % 72.35/72.53 (define @t54 () (tptp.cons @t1 @t2)) % 72.35/72.53 (define @t55 () (tptp.ssList @t54)) % 72.35/72.53 (define @t56 () (forall @t7 (=> @t6 @t55))) % 72.35/72.53 (define @t57 () (=> @t17 @t56)) % 72.35/72.53 (define @t58 () (forall @t9 @t57)) % 72.35/72.53 (define @t59 () (tptp.ssList tptp.nil)) % 72.35/72.53 (define @t60 () (not (= @t54 @t2))) % 72.35/72.53 (define @t61 () (=> @t6 @t60)) % 72.35/72.53 (define @t62 () (forall @t7 @t61)) % 72.35/72.53 (define @t63 () (=> @t17 @t62)) % 72.35/72.53 (define @t64 () (forall @t9 @t63)) % 72.35/72.53 (define @t65 () (= @t1 @t2)) % 72.35/72.53 (define @t66 () (tptp.cons @t12 @t1)) % 72.35/72.53 (define @t67 () (= tptp.nil @t2)) % 72.35/72.53 (define @t68 () (tptp.hd @t2)) % 72.35/72.53 (define @t69 () (not @t67)) % 72.35/72.53 (define @t70 () (tptp.tl @t2)) % 72.35/72.53 (define @t71 () (tptp.app @t2 @t1)) % 72.35/72.53 (define @t72 () (tptp.ssList @t71)) % 72.35/72.53 (define @t73 () (forall @t7 (=> @t21 @t72))) % 72.35/72.53 (define @t74 () (=> @t17 @t73)) % 72.35/72.53 (define @t75 () (forall @t9 @t74)) % 72.35/72.53 (define @t76 () (tptp.app @t1 @t2)) % 72.35/72.53 (define @t77 () (= (tptp.cons @t12 @t76) (tptp.app @t66 @t2))) % 72.35/72.53 (define @t78 () (forall @t16 (=> @t36 @t77))) % 72.35/72.53 (define @t79 () (=> @t21 @t78)) % 72.35/72.53 (define @t80 () (forall @t7 @t79)) % 72.35/72.53 (define @t81 () (=> @t17 @t80)) % 72.35/72.53 (define @t82 () (forall @t9 @t81)) % 72.35/72.53 (define @t83 () (tptp.app tptp.nil @t2)) % 72.35/72.53 (define @t84 () (=> @t17 (= @t83 @t2))) % 72.35/72.53 (define @t85 () (forall @t9 @t84)) % 72.35/72.53 (define @t86 () (tptp.leq @t1 @t2)) % 72.35/72.53 (define @t87 () (tptp.leq @t2 @t1)) % 72.35/72.53 (define @t88 () (tptp.geq @t2 @t1)) % 72.35/72.53 (define @t89 () (tptp.lt @t1 @t2)) % 72.35/72.53 (define @t90 () (not @t89)) % 72.35/72.53 (define @t91 () (tptp.lt @t2 @t1)) % 72.35/72.53 (define @t92 () (=> @t91 @t90)) % 72.35/72.53 (define @t93 () (forall @t7 (=> @t6 @t92))) % 72.35/72.53 (define @t94 () (=> @t8 @t93)) % 72.35/72.53 (define @t95 () (forall @t9 @t94)) % 72.35/72.53 (define @t96 () (tptp.lt @t2 @t12)) % 72.35/72.53 (define @t97 () (tptp.gt @t2 @t1)) % 72.35/72.53 (define @t98 () (tptp.memberP @t12 @t2)) % 72.35/72.53 (define @t99 () (tptp.app @t12 @t2)) % 72.35/72.53 (define @t100 () (tptp.cons @t2 tptp.nil)) % 72.35/72.53 (define @t101 () (tptp.hd @t1)) % 72.35/72.53 (define @t102 () (= tptp.nil @t1)) % 72.35/72.53 (define @t103 () (not @t102)) % 72.35/72.53 (define @t104 () (tptp.cons @t2 @t1)) % 72.35/72.53 (define @t105 () (tptp.strictorderedP @t100)) % 72.35/72.53 (define @t106 () (forall @t9 (=> @t8 @t105))) % 72.35/72.53 (define @t107 () (= @t12 @t2)) % 72.35/72.53 (define @t108 () (= (tptp.app @t71 @t12) (tptp.app @t2 @t19))) % 72.35/72.53 (define @t109 () (forall @t16 (=> @t15 @t108))) % 72.35/72.53 (define @t110 () (=> @t21 @t109)) % 72.35/72.53 (define @t111 () (forall @t7 @t110)) % 72.35/72.53 (define @t112 () (=> @t17 @t111)) % 72.35/72.53 (define @t113 () (forall @t9 @t112)) % 72.35/72.53 (define @t114 () (and @t102 @t67)) % 72.35/72.53 (define @t115 () (= tptp.nil @t71)) % 72.35/72.53 (define @t116 () (= @t115 @t114)) % 72.35/72.53 (define @t117 () (=> @t21 @t116)) % 72.35/72.53 (define @t118 () (forall @t7 @t117)) % 72.35/72.53 (define @t119 () (=> @t17 @t118)) % 72.35/72.53 (define @t120 () (forall @t9 @t119)) % 72.35/72.53 (define @t121 () (not (= tptp.nil @t12))) % 72.35/72.53 (define @t122 () (not (= tptp.nil @t10))) % 72.35/72.53 (define @t123 () (or @t122 @t121)) % 72.35/72.53 (define @t124 () (@var "X4" $$unsorted)) % 72.35/72.53 (define @t125 () (not (tptp.memberP @t10 @t124))) % 72.35/72.53 (define @t126 () (tptp.cons @t124 tptp.nil)) % 72.35/72.53 (define @t127 () (not (= @t126 @t12))) % 72.35/72.53 (define @t128 () (or @t127 @t125)) % 72.35/72.53 (define @t129 () (tptp.ssItem @t124)) % 72.35/72.53 (define @t130 () (=> @t129 @t128)) % 72.35/72.53 (define @t131 () (@list @t124)) % 72.35/72.53 (define @t132 () (forall @t131 @t130)) % 72.35/72.53 (define @t133 () (and @t132 @t123)) % 72.35/72.53 (define @t134 () (not (tptp.lt @t27 @t28))) % 72.35/72.53 (define @t135 () (@var "X3" $$unsorted)) % 72.35/72.53 (define @t136 () (tptp.cons @t27 tptp.nil)) % 72.35/72.53 (define @t137 () (@var "X2" $$unsorted)) % 72.35/72.53 (define @t138 () (tptp.cons @t28 tptp.nil)) % 72.35/72.53 (define @t139 () (@var "X1" $$unsorted)) % 72.35/72.53 (define @t140 () (tptp.app @t139 @t138)) % 72.35/72.53 (define @t141 () (tptp.app (tptp.app @t140 @t137) @t136)) % 72.35/72.53 (define @t142 () (tptp.app @t141 @t135)) % 72.35/72.53 (define @t143 () (not (= @t142 @t2))) % 72.35/72.53 (define @t144 () (or @t143 @t134)) % 72.35/72.53 (define @t145 () (tptp.ssList @t135)) % 72.35/72.53 (define @t146 () (=> @t145 @t144)) % 72.35/72.53 (define @t147 () (@list @t135)) % 72.35/72.53 (define @t148 () (forall @t147 @t146)) % 72.35/72.53 (define @t149 () (tptp.ssList @t137)) % 72.35/72.53 (define @t150 () (=> @t149 @t148)) % 72.35/72.53 (define @t151 () (@list @t137)) % 72.35/72.53 (define @t152 () (forall @t151 @t150)) % 72.35/72.53 (define @t153 () (tptp.ssList @t139)) % 72.35/72.53 (define @t154 () (=> @t153 @t152)) % 72.35/72.53 (define @t155 () (@list @t139)) % 72.35/72.53 (define @t156 () (forall @t155 @t154)) % 72.35/72.53 (define @t157 () (tptp.ssItem @t27)) % 72.35/72.53 (define @t158 () (=> @t157 @t156)) % 72.35/72.53 (define @t159 () (forall @t33 @t158)) % 72.35/72.53 (define @t160 () (tptp.ssItem @t28)) % 72.35/72.53 (define @t161 () (=> @t160 @t159)) % 72.35/72.53 (define @t162 () (forall @t35 @t161)) % 72.35/72.53 (define @t163 () (not (= @t2 @t12))) % 72.35/72.53 (define @t164 () (not (= @t1 @t10))) % 72.35/72.53 (define @t165 () (or @t164 @t163 @t162 @t133)) % 72.35/72.53 (define @t166 () (=> @t13 @t165)) % 72.35/72.53 (define @t167 () (forall @t14 @t166)) % 72.35/72.53 (define @t168 () (=> @t15 @t167)) % 72.35/72.53 (define @t169 () (forall @t16 @t168)) % 72.35/72.53 (define @t170 () (=> @t21 @t169)) % 72.35/72.53 (define @t171 () (forall @t7 @t170)) % 72.35/72.53 (define @t172 () (=> @t17 @t171)) % 72.35/72.53 (define @t173 () (forall @t9 @t172)) % 72.35/72.53 (define @t174 () (not @t173)) % 72.35/72.53 (define @t175 () (= @t2 @t83)) % 72.35/72.53 (define @t176 () (@var "BOUND_VARIABLE_11240" $$unsorted)) % 72.35/72.53 (define @t177 () (@var "BOUND_VARIABLE_11234" $$unsorted)) % 72.35/72.53 (define @t178 () (@var "BOUND_VARIABLE_11238" $$unsorted)) % 72.35/72.53 (define @t179 () (@var "BOUND_VARIABLE_11232" $$unsorted)) % 72.35/72.53 (define @t180 () (@var "BOUND_VARIABLE_11236" $$unsorted)) % 72.35/72.53 (define @t181 () (tptp.app (tptp.app (tptp.app (tptp.app @t180 (tptp.cons @t179 tptp.nil)) @t178) (tptp.cons @t177 tptp.nil)) @t176)) % 72.35/72.53 (define @t182 () (@var "BOUND_VARIABLE_11263" $$unsorted)) % 72.35/72.53 (define @t183 () (not (= tptp.nil @t182))) % 72.35/72.53 (define @t184 () (@var "BOUND_VARIABLE_11265" $$unsorted)) % 72.35/72.53 (define @t185 () (not (tptp.memberP @t182 @t184))) % 72.35/72.53 (define @t186 () (tptp.cons @t184 tptp.nil)) % 72.35/72.53 (define @t187 () (not (tptp.ssItem @t184))) % 72.35/72.53 (define @t188 () (or @t187 (not (= @t181 @t186)) @t185)) % 72.35/72.53 (define @t189 () (and @t188 (or @t183 (not (= tptp.nil @t181))))) % 72.35/72.53 (define @t190 () (not (tptp.ssList @t182))) % 72.35/72.53 (define @t191 () (not (tptp.ssList @t176))) % 72.35/72.53 (define @t192 () (not (tptp.ssList @t178))) % 72.35/72.53 (define @t193 () (not (tptp.ssList @t180))) % 72.35/72.53 (define @t194 () (not (tptp.lt @t177 @t179))) % 72.35/72.53 (define @t195 () (not (tptp.ssItem @t177))) % 72.35/72.53 (define @t196 () (not (tptp.ssItem @t179))) % 72.35/72.53 (define @t197 () (not (tptp.ssList @t181))) % 72.35/72.53 (define @t198 () (or @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189)) % 72.35/72.53 (define @t199 () (@list @t179 @t177 @t180 @t178 @t176 @t182 @t184)) % 72.35/72.53 (define @t200 () (forall @t199 @t198)) % 72.35/72.53 (define @t201 () (@quantifiers_skolemize @t200 3)) % 72.35/72.53 (define @t202 () (not (= @t181 tptp.nil))) % 72.35/72.53 (define @t203 () (or @t183 @t202)) % 72.35/72.53 (define @t204 () (and @t188 @t203)) % 72.35/72.53 (define @t205 () (not (= @t181 @t181))) % 72.35/72.53 (define @t206 () (or @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t205 @t190 @t204)) % 72.35/72.53 (define @t207 () (= @t2 tptp.nil)) % 72.35/72.53 (define @t208 () (not @t207)) % 72.35/72.53 (define @t209 () (or @t187 (not (= @t2 @t186)) @t185)) % 72.35/72.53 (define @t210 () (and @t209 (or @t183 @t208))) % 72.35/72.53 (define @t211 () (not (= @t2 @t181))) % 72.35/72.53 (define @t212 () (not @t17)) % 72.35/72.53 (define @t213 () (or @t211 @t212 @t196 @t195 @t194 @t193 @t192 @t191 @t211 @t190 @t210)) % 72.35/72.53 (define @t214 () (or @t212 @t196 @t195 @t194 @t193 @t192 @t191 @t211 @t190 @t210)) % 72.35/72.53 (define @t215 () (forall @t9 @t214)) % 72.35/72.53 (define @t216 () (forall @t199 @t215)) % 72.35/72.53 (define @t217 () (forall (@list @t179 @t177 @t180 @t178 @t176 @t182 @t184 @t2) @t214)) % 72.35/72.53 (define @t218 () (@list @t2 @t179 @t177 @t180 @t178 @t176 @t182 @t184)) % 72.35/72.53 (define @t219 () (not (= @t182 tptp.nil))) % 72.35/72.53 (define @t220 () (or @t219 @t208)) % 72.35/72.53 (define @t221 () (and @t209 @t220)) % 72.35/72.53 (define @t222 () (or @t212 @t196 @t195 @t194 @t193 @t192 @t191 @t211 @t190 @t221)) % 72.35/72.53 (define @t223 () (or @t190 @t221)) % 72.35/72.53 (define @t224 () (or @t196 @t195 @t194 @t193 @t192 @t191 @t211)) % 72.35/72.53 (define @t225 () (or @t212 @t224 @t223)) % 72.35/72.53 (define @t226 () (forall @t218 @t225)) % 72.35/72.53 (define @t227 () (forall @t199 @t225)) % 72.35/72.53 (define @t228 () (forall (@list @t182 @t184) @t223)) % 72.35/72.53 (define @t229 () (@var "BOUND_VARIABLE_11213" $$unsorted)) % 72.35/72.53 (define @t230 () (forall (@list @t179 @t177 @t180 @t178 @t176) @t224)) % 72.35/72.53 (define @t231 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 72.35/72.53 (define @t232 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 72.35/72.53 (define @t233 () (@var "BOUND_VARIABLE_11056" $$unsorted)) % 72.35/72.53 (define @t234 () (@var "BOUND_VARIABLE_11054" $$unsorted)) % 72.35/72.53 (define @t235 () (or @t212 @t230 @t228)) % 72.35/72.53 (define @t236 () (= @t1 tptp.nil)) % 72.35/72.53 (define @t237 () (not @t236)) % 72.35/72.53 (define @t238 () (or @t237 @t208)) % 72.35/72.53 (define @t239 () (or (not (tptp.ssItem @t229)) (not (= @t2 (tptp.cons @t229 tptp.nil))) (not (tptp.memberP @t1 @t229)))) % 72.35/72.53 (define @t240 () (and @t239 @t238)) % 72.35/72.53 (define @t241 () (not @t21)) % 72.35/72.53 (define @t242 () (or @t241 @t240)) % 72.35/72.53 (define @t243 () (forall (@list @t1 @t229) @t242)) % 72.35/72.53 (define @t244 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t233 @t138) @t232) (tptp.cons @t234 tptp.nil)) @t231)))) % 72.35/72.53 (define @t245 () (not (tptp.ssList @t231))) % 72.35/72.53 (define @t246 () (not (tptp.ssList @t232))) % 72.35/72.53 (define @t247 () (not (tptp.ssList @t233))) % 72.35/72.53 (define @t248 () (not (tptp.lt @t234 @t28))) % 72.35/72.53 (define @t249 () (not (tptp.ssItem @t234))) % 72.35/72.53 (define @t250 () (not @t160)) % 72.35/72.53 (define @t251 () (or @t250 @t249 @t248 @t247 @t246 @t245 @t244)) % 72.35/72.53 (define @t252 () (@list @t28 @t234 @t233 @t232 @t231)) % 72.35/72.53 (define @t253 () (forall @t252 @t251)) % 72.35/72.53 (define @t254 () (or @t212 @t253 @t243)) % 72.35/72.53 (define @t255 () (or @t253 @t212 @t243)) % 72.35/72.53 (define @t256 () (@list @t229)) % 72.35/72.53 (define @t257 () (forall @t256 @t242)) % 72.35/72.53 (define @t258 () (forall @t256 @t238)) % 72.35/72.53 (define @t259 () (forall @t256 @t239)) % 72.35/72.53 (define @t260 () (@var "BOUND_VARIABLE_11188" $$unsorted)) % 72.35/72.53 (define @t261 () (@list @t260)) % 72.35/72.53 (define @t262 () (and @t259 @t258)) % 72.35/72.53 (define @t263 () (forall @t256 @t240)) % 72.35/72.53 (define @t264 () (or @t241 @t263)) % 72.35/72.53 (define @t265 () (and (forall (@list @t260) (or (not (tptp.ssItem @t260)) (not (= @t2 (tptp.cons @t260 tptp.nil))) (not (tptp.memberP @t1 @t260)))) @t238)) % 72.35/72.53 (define @t266 () (or @t241 @t265)) % 72.35/72.53 (define @t267 () (forall @t7 @t266)) % 72.35/72.53 (define @t268 () (or @t253 @t212 @t267)) % 72.35/72.53 (define @t269 () (or @t253 @t212 @t266)) % 72.35/72.53 (define @t270 () (or @t241 @t253 @t212 @t265)) % 72.35/72.53 (define @t271 () (or @t253 @t241 @t212 @t265)) % 72.35/72.53 (define @t272 () (@var "BOUND_VARIABLE_11159" $$unsorted)) % 72.35/72.53 (define @t273 () (@list @t272)) % 72.35/72.53 (define @t274 () (forall @t273 @t238)) % 72.35/72.53 (define @t275 () (not (tptp.memberP @t1 @t272))) % 72.35/72.53 (define @t276 () (tptp.cons @t272 tptp.nil)) % 72.35/72.53 (define @t277 () (not (tptp.ssItem @t272))) % 72.35/72.53 (define @t278 () (or @t277 (not (= @t2 @t276)) @t275)) % 72.35/72.53 (define @t279 () (forall @t273 @t278)) % 72.35/72.53 (define @t280 () (@list @t272)) % 72.35/72.53 (define @t281 () (and @t279 @t274)) % 72.35/72.53 (define @t282 () (and @t278 @t238)) % 72.35/72.53 (define @t283 () (forall @t273 @t282)) % 72.35/72.53 (define @t284 () (or @t212 @t283)) % 72.35/72.53 (define @t285 () (or @t212 @t282)) % 72.35/72.53 (define @t286 () (not (= @t2 @t2))) % 72.35/72.53 (define @t287 () (or @t212 @t286 @t282)) % 72.35/72.53 (define @t288 () (not (= @t12 tptp.nil))) % 72.35/72.53 (define @t289 () (or @t237 @t288)) % 72.35/72.53 (define @t290 () (or @t277 (not (= @t12 @t276)) @t275)) % 72.35/72.53 (define @t291 () (and @t290 @t289)) % 72.35/72.53 (define @t292 () (not @t15)) % 72.35/72.53 (define @t293 () (or @t163 @t292 @t163 @t291)) % 72.35/72.53 (define @t294 () (or @t292 @t163 @t291)) % 72.35/72.53 (define @t295 () (forall @t16 @t294)) % 72.35/72.53 (define @t296 () (forall @t273 @t295)) % 72.35/72.53 (define @t297 () (forall (@list @t272 @t12) @t294)) % 72.35/72.53 (define @t298 () (forall (@list @t12 @t272) @t294)) % 72.35/72.53 (define @t299 () (forall @t273 @t294)) % 72.35/72.53 (define @t300 () (forall @t273 @t289)) % 72.35/72.53 (define @t301 () (forall @t273 @t290)) % 72.35/72.53 (define @t302 () (@var "BOUND_VARIABLE_11134" $$unsorted)) % 72.35/72.53 (define @t303 () (@list @t302)) % 72.35/72.53 (define @t304 () (and @t301 @t300)) % 72.35/72.53 (define @t305 () (forall @t273 @t291)) % 72.35/72.53 (define @t306 () (or @t292 @t163 @t305)) % 72.35/72.53 (define @t307 () (and (forall (@list @t302) (or (not (tptp.ssItem @t302)) (not (= @t12 (tptp.cons @t302 tptp.nil))) (not (tptp.memberP @t1 @t302)))) @t289)) % 72.35/72.53 (define @t308 () (or @t292 @t163 @t307)) % 72.35/72.53 (define @t309 () (forall @t16 @t308)) % 72.35/72.53 (define @t310 () (or @t253 @t241 @t309)) % 72.35/72.53 (define @t311 () (or @t253 @t241 @t308)) % 72.35/72.53 (define @t312 () (or @t292 @t163 @t253 @t241 @t307)) % 72.35/72.53 (define @t313 () (or @t163 @t253 @t241 @t307)) % 72.35/72.53 (define @t314 () (@var "BOUND_VARIABLE_11107" $$unsorted)) % 72.35/72.53 (define @t315 () (@list @t314)) % 72.35/72.53 (define @t316 () (forall @t315 @t289)) % 72.35/72.53 (define @t317 () (not (= @t12 (tptp.cons @t314 tptp.nil)))) % 72.35/72.53 (define @t318 () (not (tptp.ssItem @t314))) % 72.35/72.53 (define @t319 () (or @t318 @t317 (not (tptp.memberP @t1 @t314)))) % 72.35/72.53 (define @t320 () (forall @t315 @t319)) % 72.35/72.53 (define @t321 () (@list @t314)) % 72.35/72.53 (define @t322 () (and @t320 @t316)) % 72.35/72.53 (define @t323 () (and @t319 @t289)) % 72.35/72.53 (define @t324 () (forall @t315 @t323)) % 72.35/72.53 (define @t325 () (or @t241 @t324)) % 72.35/72.53 (define @t326 () (or @t241 @t323)) % 72.35/72.53 (define @t327 () (not (= @t1 @t1))) % 72.35/72.53 (define @t328 () (or @t241 @t327 @t323)) % 72.35/72.53 (define @t329 () (or (not (= @t10 tptp.nil)) @t288)) % 72.35/72.53 (define @t330 () (or @t318 @t317 (not (tptp.memberP @t10 @t314)))) % 72.35/72.53 (define @t331 () (and @t330 @t329)) % 72.35/72.53 (define @t332 () (not @t13)) % 72.35/72.53 (define @t333 () (or @t164 @t332 @t164 @t331)) % 72.35/72.53 (define @t334 () (or @t332 @t164 @t331)) % 72.35/72.53 (define @t335 () (forall @t14 @t334)) % 72.35/72.53 (define @t336 () (forall @t315 @t335)) % 72.35/72.53 (define @t337 () (forall (@list @t314 @t10) @t334)) % 72.35/72.53 (define @t338 () (forall (@list @t10 @t314) @t334)) % 72.35/72.53 (define @t339 () (forall @t315 @t334)) % 72.35/72.53 (define @t340 () (forall @t315 @t329)) % 72.35/72.53 (define @t341 () (forall @t315 @t330)) % 72.35/72.53 (define @t342 () (and @t341 @t340)) % 72.35/72.53 (define @t343 () (forall @t315 @t331)) % 72.35/72.53 (define @t344 () (or @t332 @t164 @t343)) % 72.35/72.53 (define @t345 () (not (= @t12 @t126))) % 72.35/72.53 (define @t346 () (not @t129)) % 72.35/72.53 (define @t347 () (or @t346 @t345 @t125)) % 72.35/72.53 (define @t348 () (and (forall @t131 @t347) @t329)) % 72.35/72.53 (define @t349 () (or @t332 @t164 @t348)) % 72.35/72.53 (define @t350 () (forall @t14 @t349)) % 72.35/72.53 (define @t351 () (or @t163 @t253 @t350)) % 72.35/72.53 (define @t352 () (or @t163 @t253 @t349)) % 72.35/72.53 (define @t353 () (or @t332 @t164 @t163 @t253 @t348)) % 72.35/72.53 (define @t354 () (or @t164 @t163 @t253 @t348)) % 72.35/72.53 (define @t355 () (or @t345 @t125)) % 72.35/72.53 (define @t356 () (or @t249 @t248 @t247 @t246 @t245 @t244)) % 72.35/72.53 (define @t357 () (or @t250 @t356)) % 72.35/72.53 (define @t358 () (forall @t252 @t357)) % 72.35/72.53 (define @t359 () (@list @t234 @t233 @t232 @t231)) % 72.35/72.53 (define @t360 () (forall @t359 @t357)) % 72.35/72.53 (define @t361 () (forall @t359 @t356)) % 72.35/72.53 (define @t362 () (@var "BOUND_VARIABLE_11029" $$unsorted)) % 72.35/72.53 (define @t363 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 72.35/72.53 (define @t364 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 72.35/72.53 (define @t365 () (or @t250 @t361)) % 72.35/72.53 (define @t366 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t364 @t138) @t363) @t136) @t362)))) % 72.35/72.53 (define @t367 () (not (tptp.ssList @t362))) % 72.35/72.53 (define @t368 () (not (tptp.ssList @t363))) % 72.35/72.53 (define @t369 () (not (tptp.ssList @t364))) % 72.35/72.53 (define @t370 () (not @t157)) % 72.35/72.53 (define @t371 () (or @t370 @t134 @t369 @t368 @t367 @t366)) % 72.35/72.53 (define @t372 () (@list @t27 @t364 @t363 @t362)) % 72.35/72.53 (define @t373 () (forall @t372 @t371)) % 72.35/72.53 (define @t374 () (or @t369 @t368 @t367 @t366)) % 72.35/72.53 (define @t375 () (or @t370 @t134 @t374)) % 72.35/72.53 (define @t376 () (forall @t372 @t375)) % 72.35/72.53 (define @t377 () (@list @t364 @t363 @t362)) % 72.35/72.53 (define @t378 () (forall @t377 @t375)) % 72.35/72.53 (define @t379 () (forall @t377 @t374)) % 72.35/72.53 (define @t380 () (@var "BOUND_VARIABLE_11002" $$unsorted)) % 72.35/72.53 (define @t381 () (@var "BOUND_VARIABLE_11000" $$unsorted)) % 72.35/72.53 (define @t382 () (or @t370 @t134 @t379)) % 72.35/72.53 (define @t383 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t140 @t381) @t136) @t380)))) % 72.35/72.53 (define @t384 () (not (tptp.ssList @t380))) % 72.35/72.53 (define @t385 () (not (tptp.ssList @t381))) % 72.35/72.53 (define @t386 () (not @t153)) % 72.35/72.53 (define @t387 () (or @t386 @t385 @t384 @t383)) % 72.35/72.53 (define @t388 () (@list @t139 @t381 @t380)) % 72.35/72.53 (define @t389 () (forall @t388 @t387)) % 72.35/72.53 (define @t390 () (or @t370 @t134 @t389)) % 72.35/72.53 (define @t391 () (or @t134 @t389)) % 72.35/72.53 (define @t392 () (or @t385 @t384 @t383)) % 72.35/72.53 (define @t393 () (or @t386 @t392)) % 72.35/72.53 (define @t394 () (forall @t388 @t393)) % 72.35/72.53 (define @t395 () (@list @t381 @t380)) % 72.35/72.53 (define @t396 () (forall @t395 @t393)) % 72.35/72.53 (define @t397 () (forall @t395 @t392)) % 72.35/72.53 (define @t398 () (@var "BOUND_VARIABLE_10978" $$unsorted)) % 72.35/72.53 (define @t399 () (or @t386 @t397)) % 72.35/72.53 (define @t400 () (not (= @t2 (tptp.app @t141 @t398)))) % 72.35/72.53 (define @t401 () (not (tptp.ssList @t398))) % 72.35/72.53 (define @t402 () (not @t149)) % 72.35/72.53 (define @t403 () (or @t402 @t401 @t400)) % 72.35/72.53 (define @t404 () (@list @t137 @t398)) % 72.35/72.53 (define @t405 () (forall @t404 @t403)) % 72.35/72.53 (define @t406 () (or @t386 @t405)) % 72.35/72.53 (define @t407 () (forall @t155 @t406)) % 72.35/72.53 (define @t408 () (or @t134 @t407)) % 72.35/72.53 (define @t409 () (or @t134 @t406)) % 72.35/72.53 (define @t410 () (or @t386 @t134 @t405)) % 72.35/72.53 (define @t411 () (or @t134 @t405)) % 72.35/72.53 (define @t412 () (or @t401 @t400)) % 72.35/72.53 (define @t413 () (or @t402 @t412)) % 72.35/72.53 (define @t414 () (forall @t404 @t413)) % 72.35/72.53 (define @t415 () (@list @t398)) % 72.35/72.53 (define @t416 () (forall @t415 @t413)) % 72.35/72.53 (define @t417 () (forall @t415 @t412)) % 72.35/72.53 (define @t418 () (or @t402 @t417)) % 72.35/72.53 (define @t419 () (not (= @t2 @t142))) % 72.35/72.53 (define @t420 () (not @t145)) % 72.35/72.53 (define @t421 () (or @t420 @t419)) % 72.35/72.53 (define @t422 () (forall @t147 @t421)) % 72.35/72.53 (define @t423 () (or @t402 @t422)) % 72.35/72.53 (define @t424 () (forall @t151 @t423)) % 72.35/72.53 (define @t425 () (or @t134 @t424)) % 72.35/72.53 (define @t426 () (or @t134 @t423)) % 72.35/72.53 (define @t427 () (or @t402 @t134 @t422)) % 72.35/72.53 (define @t428 () (or @t134 @t422)) % 72.35/72.53 (define @t429 () (or @t134 @t421)) % 72.35/72.53 (define @t430 () (or @t420 @t419 @t134)) % 72.35/72.53 (define @t431 () (or @t419 @t134)) % 72.35/72.53 (define @t432 () (tptp.ssList @t201)) % 72.35/72.53 (define @t433 () (@quantifiers_skolemize @t200 4)) % 72.35/72.53 (define @t434 () (@quantifiers_skolemize @t200 1)) % 72.35/72.53 (define @t435 () (tptp.cons @t434 tptp.nil)) % 72.35/72.53 (define @t436 () (@quantifiers_skolemize @t200 0)) % 72.35/72.53 (define @t437 () (tptp.cons @t436 tptp.nil)) % 72.35/72.53 (define @t438 () (@quantifiers_skolemize @t200 2)) % 72.35/72.53 (define @t439 () (tptp.app @t438 @t437)) % 72.35/72.53 (define @t440 () (tptp.app @t439 @t201)) % 72.35/72.53 (define @t441 () (tptp.app @t440 @t435)) % 72.35/72.53 (define @t442 () (tptp.app @t441 @t433)) % 72.35/72.53 (define @t443 () (= tptp.nil @t442)) % 72.35/72.53 (define @t444 () (not @t443)) % 72.35/72.53 (define @t445 () (@quantifiers_skolemize @t200 5)) % 72.35/72.53 (define @t446 () (or (not (= tptp.nil @t445)) @t444)) % 72.35/72.53 (define @t447 () (@quantifiers_skolemize @t200 6)) % 72.35/72.53 (define @t448 () (tptp.cons @t447 tptp.nil)) % 72.35/72.53 (define @t449 () (= @t442 @t448)) % 72.35/72.53 (define @t450 () (not @t449)) % 72.35/72.53 (define @t451 () (tptp.ssItem @t447)) % 72.35/72.53 (define @t452 () (not @t451)) % 72.35/72.53 (define @t453 () (or @t452 @t450 (not (tptp.memberP @t445 @t447)))) % 72.35/72.53 (define @t454 () (and @t453 @t446)) % 72.35/72.53 (define @t455 () (tptp.ssList @t433)) % 72.35/72.53 (define @t456 () (not @t455)) % 72.35/72.53 (define @t457 () (not @t432)) % 72.35/72.53 (define @t458 () (tptp.ssList @t438)) % 72.35/72.53 (define @t459 () (not @t458)) % 72.35/72.53 (define @t460 () (tptp.lt @t434 @t436)) % 72.35/72.53 (define @t461 () (not @t460)) % 72.35/72.53 (define @t462 () (tptp.ssItem @t434)) % 72.35/72.53 (define @t463 () (not @t462)) % 72.35/72.53 (define @t464 () (tptp.ssItem @t436)) % 72.35/72.53 (define @t465 () (not @t464)) % 72.35/72.53 (define @t466 () (tptp.ssList @t442)) % 72.35/72.53 (define @t467 () (not @t466)) % 72.35/72.53 (define @t468 () (or @t467 @t465 @t463 @t461 @t459 @t457 @t456 (not (tptp.ssList @t445)) @t454)) % 72.35/72.53 (define @t469 () (@list true)) % 72.35/72.53 (define @t470 () (@list @t468)) % 72.35/72.53 (define @t471 () (tptp.app tptp.nil @t201)) % 72.35/72.53 (define @t472 () (= @t201 @t471)) % 72.35/72.53 (define @t473 () (or @t457 @t472)) % 72.35/72.53 (define @t474 () (@list false false)) % 72.35/72.53 (define @t475 () (tptp.app tptp.nil @t433)) % 72.35/72.53 (define @t476 () (= @t433 @t475)) % 72.35/72.53 (define @t477 () (or @t456 @t476)) % 72.35/72.53 (define @t478 () (@var "BOUND_VARIABLE_10601" $$unsorted)) % 72.35/72.53 (define @t479 () (@var "BOUND_VARIABLE_10599" $$unsorted)) % 72.35/72.53 (define @t480 () (= (tptp.app (tptp.app @t2 @t479) @t478) (tptp.app @t2 (tptp.app @t479 @t478)))) % 72.35/72.53 (define @t481 () (not (tptp.ssList @t478))) % 72.35/72.53 (define @t482 () (not (tptp.ssList @t479))) % 72.35/72.53 (define @t483 () (or @t482 @t481 @t480)) % 72.35/72.53 (define @t484 () (or @t212 @t483)) % 72.35/72.53 (define @t485 () (forall (@list @t2 @t479 @t478) @t484)) % 72.35/72.53 (define @t486 () (@list @t479 @t478)) % 72.35/72.53 (define @t487 () (forall @t486 @t484)) % 72.35/72.53 (define @t488 () (forall @t486 @t483)) % 72.35/72.53 (define @t489 () (@var "BOUND_VARIABLE_10581" $$unsorted)) % 72.35/72.53 (define @t490 () (or @t212 @t488)) % 72.35/72.53 (define @t491 () (= (tptp.app @t71 @t489) (tptp.app @t2 (tptp.app @t1 @t489)))) % 72.35/72.53 (define @t492 () (not (tptp.ssList @t489))) % 72.35/72.53 (define @t493 () (or @t241 @t492 @t491)) % 72.35/72.53 (define @t494 () (@list @t1 @t489)) % 72.35/72.53 (define @t495 () (forall @t494 @t493)) % 72.35/72.53 (define @t496 () (or @t492 @t491)) % 72.35/72.53 (define @t497 () (or @t241 @t496)) % 72.35/72.53 (define @t498 () (forall @t494 @t497)) % 72.35/72.53 (define @t499 () (@list @t489)) % 72.35/72.53 (define @t500 () (forall @t499 @t497)) % 72.35/72.53 (define @t501 () (forall @t499 @t496)) % 72.35/72.53 (define @t502 () (@list @t12)) % 72.35/72.53 (define @t503 () (or @t241 @t501)) % 72.35/72.53 (define @t504 () (forall @t16 (or @t292 @t108))) % 72.35/72.53 (define @t505 () (@var "BOUND_VARIABLE_9157" $$unsorted)) % 72.35/72.53 (define @t506 () (tptp.ssList (tptp.cons @t505 @t2))) % 72.35/72.53 (define @t507 () (not (tptp.ssItem @t505))) % 72.35/72.53 (define @t508 () (or @t507 @t506)) % 72.35/72.53 (define @t509 () (or @t212 @t508)) % 72.35/72.53 (define @t510 () (forall (@list @t2 @t505) @t509)) % 72.35/72.53 (define @t511 () (@list @t505)) % 72.35/72.53 (define @t512 () (forall @t511 @t509)) % 72.35/72.53 (define @t513 () (forall @t511 @t508)) % 72.35/72.53 (define @t514 () (@list @t1)) % 72.35/72.53 (define @t515 () (or @t212 @t513)) % 72.35/72.53 (define @t516 () (not @t6)) % 72.35/72.53 (define @t517 () (forall @t7 (or @t516 @t55))) % 72.35/72.53 (define @t518 () (tptp.ssList @t437)) % 72.35/72.53 (define @t519 () (not @t59)) % 72.35/72.53 (define @t520 () (or @t519 @t465 @t518)) % 72.35/72.53 (define @t521 () (@list false false false)) % 72.35/72.53 (define @t522 () (tptp.app @t437 @t201)) % 72.35/72.53 (define @t523 () (tptp.app @t438 @t522)) % 72.35/72.53 (define @t524 () (= @t440 @t523)) % 72.35/72.53 (define @t525 () (not @t518)) % 72.35/72.53 (define @t526 () (or @t459 @t525 @t457 @t524)) % 72.35/72.53 (define @t527 () (@list false false false false)) % 72.35/72.53 (define @t528 () (@var "BOUND_VARIABLE_9401" $$unsorted)) % 72.35/72.53 (define @t529 () (tptp.ssList (tptp.app @t2 @t528))) % 72.35/72.53 (define @t530 () (not (tptp.ssList @t528))) % 72.35/72.53 (define @t531 () (or @t530 @t529)) % 72.35/72.53 (define @t532 () (or @t212 @t531)) % 72.35/72.53 (define @t533 () (forall (@list @t2 @t528) @t532)) % 72.35/72.53 (define @t534 () (@list @t528)) % 72.35/72.53 (define @t535 () (forall @t534 @t532)) % 72.35/72.53 (define @t536 () (forall @t534 @t531)) % 72.35/72.53 (define @t537 () (or @t212 @t536)) % 72.35/72.53 (define @t538 () (forall @t7 (or @t241 @t72))) % 72.35/72.53 (define @t539 () (tptp.ssList @t439)) % 72.35/72.53 (define @t540 () (or @t459 @t525 @t539)) % 72.35/72.53 (define @t541 () (tptp.ssList @t440)) % 72.35/72.53 (define @t542 () (not @t539)) % 72.35/72.53 (define @t543 () (or @t542 @t457 @t541)) % 72.35/72.53 (define @t544 () (@list tptp.nil @t434)) % 72.35/72.53 (define @t545 () (tptp.ssList @t435)) % 72.35/72.53 (define @t546 () (or @t519 @t463 @t545)) % 72.35/72.53 (define @t547 () (tptp.app @t435 @t433)) % 72.35/72.53 (define @t548 () (tptp.app @t440 @t547)) % 72.35/72.53 (define @t549 () (= @t442 @t548)) % 72.35/72.53 (define @t550 () (not @t545)) % 72.35/72.53 (define @t551 () (not @t541)) % 72.35/72.53 (define @t552 () (or @t551 @t550 @t456 @t549)) % 72.35/72.53 (define @t553 () (@list @t455 @t545 @t541 @t552)) % 72.35/72.53 (define @t554 () (@var "BOUND_VARIABLE_9438" $$unsorted)) % 72.35/72.53 (define @t555 () (@var "BOUND_VARIABLE_9440" $$unsorted)) % 72.35/72.53 (define @t556 () (= (tptp.cons @t555 (tptp.app @t554 @t2)) (tptp.app (tptp.cons @t555 @t554) @t2))) % 72.35/72.53 (define @t557 () (not (tptp.ssItem @t555))) % 72.35/72.53 (define @t558 () (not (tptp.ssList @t554))) % 72.35/72.53 (define @t559 () (or @t212 @t558 @t557 @t556)) % 72.35/72.53 (define @t560 () (or @t558 @t557 @t556)) % 72.35/72.53 (define @t561 () (or @t212 @t560)) % 72.35/72.53 (define @t562 () (@list @t2 @t554 @t555)) % 72.35/72.53 (define @t563 () (forall @t562 @t561)) % 72.35/72.53 (define @t564 () (@list @t554 @t555)) % 72.35/72.53 (define @t565 () (forall @t564 @t561)) % 72.35/72.53 (define @t566 () (forall @t564 @t560)) % 72.35/72.53 (define @t567 () (@var "BOUND_VARIABLE_9420" $$unsorted)) % 72.35/72.53 (define @t568 () (or @t212 @t566)) % 72.35/72.53 (define @t569 () (= (tptp.cons @t567 @t76) (tptp.app (tptp.cons @t567 @t1) @t2))) % 72.35/72.53 (define @t570 () (not (tptp.ssItem @t567))) % 72.35/72.53 (define @t571 () (or @t241 @t570 @t569)) % 72.35/72.53 (define @t572 () (@list @t1 @t567)) % 72.35/72.53 (define @t573 () (forall @t572 @t571)) % 72.35/72.53 (define @t574 () (or @t570 @t569)) % 72.35/72.53 (define @t575 () (or @t241 @t574)) % 72.35/72.53 (define @t576 () (forall @t572 @t575)) % 72.35/72.53 (define @t577 () (@list @t567)) % 72.35/72.53 (define @t578 () (forall @t577 @t575)) % 72.35/72.53 (define @t579 () (forall @t577 @t574)) % 72.35/72.53 (define @t580 () (or @t241 @t579)) % 72.35/72.53 (define @t581 () (not @t36)) % 72.35/72.53 (define @t582 () (forall @t16 (or @t581 @t77))) % 72.35/72.53 (define @t583 () (tptp.cons @t436 @t471)) % 72.35/72.53 (define @t584 () (or @t457 @t519 @t465 (= @t583 @t522))) % 72.35/72.53 (define @t585 () (forall @t562 @t559)) % 72.35/72.53 (define @t586 () (= @t522 @t583)) % 72.35/72.53 (define @t587 () (or @t457 @t519 @t465 @t586)) % 72.35/72.53 (define @t588 () (@list false)) % 72.35/72.53 (define @t589 () (@list @t585)) % 72.35/72.53 (define @t590 () (tptp.cons @t434 @t475)) % 72.35/72.53 (define @t591 () (or @t456 @t519 @t463 (= @t590 @t547))) % 72.35/72.53 (define @t592 () (= @t547 @t590)) % 72.35/72.53 (define @t593 () (or @t456 @t519 @t463 @t592)) % 72.35/72.53 (define @t594 () (@var "BOUND_VARIABLE_8915" $$unsorted)) % 72.35/72.53 (define @t595 () (@var "BOUND_VARIABLE_8909" $$unsorted)) % 72.35/72.53 (define @t596 () (@var "BOUND_VARIABLE_8913" $$unsorted)) % 72.35/72.53 (define @t597 () (@var "BOUND_VARIABLE_8911" $$unsorted)) % 72.35/72.53 (define @t598 () (tptp.app (tptp.app @t597 (tptp.cons @t1 @t596)) (tptp.cons @t595 @t594))) % 72.35/72.53 (define @t599 () (not (= @t2 @t598))) % 72.35/72.53 (define @t600 () (not (tptp.ssList @t594))) % 72.35/72.53 (define @t601 () (not (tptp.ssList @t596))) % 72.35/72.53 (define @t602 () (not (tptp.ssList @t597))) % 72.35/72.53 (define @t603 () (tptp.lt @t1 @t595)) % 72.35/72.53 (define @t604 () (not (tptp.ssItem @t595))) % 72.35/72.53 (define @t605 () (or @t516 @t604 @t603 @t602 @t601 @t600 @t599)) % 72.35/72.53 (define @t606 () (@list @t1 @t595 @t597 @t596 @t594)) % 72.35/72.53 (define @t607 () (= @t49 (forall @t606 @t605))) % 72.35/72.53 (define @t608 () (or @t604 @t603 @t602 @t601 @t600 @t599)) % 72.35/72.53 (define @t609 () (or @t516 @t608)) % 72.35/72.53 (define @t610 () (forall @t606 @t609)) % 72.35/72.53 (define @t611 () (@list @t595 @t597 @t596 @t594)) % 72.35/72.53 (define @t612 () (forall @t611 @t609)) % 72.35/72.53 (define @t613 () (forall @t611 @t608)) % 72.35/72.53 (define @t614 () (@var "BOUND_VARIABLE_8885" $$unsorted)) % 72.35/72.53 (define @t615 () (@var "BOUND_VARIABLE_8883" $$unsorted)) % 72.35/72.53 (define @t616 () (@var "BOUND_VARIABLE_8881" $$unsorted)) % 72.35/72.53 (define @t617 () (or @t516 @t613)) % 72.35/72.53 (define @t618 () (not (= @t2 (tptp.app (tptp.app @t616 (tptp.cons @t1 @t615)) (tptp.cons @t12 @t614))))) % 72.35/72.53 (define @t619 () (not (tptp.ssList @t614))) % 72.35/72.53 (define @t620 () (not (tptp.ssList @t615))) % 72.35/72.53 (define @t621 () (not (tptp.ssList @t616))) % 72.35/72.53 (define @t622 () (or @t581 @t37 @t621 @t620 @t619 @t618)) % 72.35/72.53 (define @t623 () (@list @t12 @t616 @t615 @t614)) % 72.35/72.53 (define @t624 () (forall @t623 @t622)) % 72.35/72.53 (define @t625 () (or @t621 @t620 @t619 @t618)) % 72.35/72.53 (define @t626 () (or @t581 @t37 @t625)) % 72.35/72.53 (define @t627 () (forall @t623 @t626)) % 72.35/72.53 (define @t628 () (@list @t616 @t615 @t614)) % 72.35/72.53 (define @t629 () (forall @t628 @t626)) % 72.35/72.53 (define @t630 () (forall @t628 @t625)) % 72.35/72.53 (define @t631 () (@var "BOUND_VARIABLE_8508" $$unsorted)) % 72.35/72.53 (define @t632 () (@var "BOUND_VARIABLE_8506" $$unsorted)) % 72.35/72.53 (define @t633 () (or @t581 @t37 @t630)) % 72.35/72.53 (define @t634 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t632)) (tptp.cons @t12 @t631))))) % 72.35/72.53 (define @t635 () (not (tptp.ssList @t631))) % 72.35/72.53 (define @t636 () (not (tptp.ssList @t632))) % 72.35/72.53 (define @t637 () (or @t332 @t636 @t635 @t634)) % 72.35/72.53 (define @t638 () (@list @t10 @t632 @t631)) % 72.35/72.53 (define @t639 () (forall @t638 @t637)) % 72.35/72.53 (define @t640 () (or @t581 @t37 @t639)) % 72.35/72.53 (define @t641 () (or @t37 @t639)) % 72.35/72.53 (define @t642 () (or @t636 @t635 @t634)) % 72.35/72.53 (define @t643 () (or @t332 @t642)) % 72.35/72.53 (define @t644 () (forall @t638 @t643)) % 72.35/72.53 (define @t645 () (@list @t632 @t631)) % 72.35/72.53 (define @t646 () (forall @t645 @t643)) % 72.35/72.53 (define @t647 () (forall @t645 @t642)) % 72.35/72.53 (define @t648 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 72.35/72.53 (define @t649 () (or @t332 @t647)) % 72.35/72.53 (define @t650 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t648))))) % 72.35/72.53 (define @t651 () (not (tptp.ssList @t648))) % 72.35/72.53 (define @t652 () (not @t34)) % 72.35/72.53 (define @t653 () (or @t652 @t651 @t650)) % 72.35/72.53 (define @t654 () (@list @t28 @t648)) % 72.35/72.53 (define @t655 () (forall @t654 @t653)) % 72.35/72.53 (define @t656 () (or @t332 @t655)) % 72.35/72.53 (define @t657 () (forall @t14 @t656)) % 72.35/72.53 (define @t658 () (or @t37 @t657)) % 72.35/72.53 (define @t659 () (or @t37 @t656)) % 72.35/72.53 (define @t660 () (or @t332 @t37 @t655)) % 72.35/72.53 (define @t661 () (or @t37 @t655)) % 72.35/72.53 (define @t662 () (or @t651 @t650)) % 72.35/72.53 (define @t663 () (or @t652 @t662)) % 72.35/72.53 (define @t664 () (forall @t654 @t663)) % 72.35/72.53 (define @t665 () (@list @t648)) % 72.35/72.53 (define @t666 () (forall @t665 @t663)) % 72.35/72.53 (define @t667 () (forall @t665 @t662)) % 72.35/72.53 (define @t668 () (or @t652 @t667)) % 72.35/72.53 (define @t669 () (= @t2 @t30)) % 72.35/72.53 (define @t670 () (not @t669)) % 72.35/72.53 (define @t671 () (not @t32)) % 72.35/72.53 (define @t672 () (or @t671 @t670)) % 72.35/72.53 (define @t673 () (forall @t33 @t672)) % 72.35/72.53 (define @t674 () (or @t652 @t673)) % 72.35/72.53 (define @t675 () (forall @t35 @t674)) % 72.35/72.53 (define @t676 () (or @t37 @t675)) % 72.35/72.53 (define @t677 () (or @t37 @t674)) % 72.35/72.53 (define @t678 () (or @t652 @t37 @t673)) % 72.35/72.53 (define @t679 () (or @t37 @t673)) % 72.35/72.53 (define @t680 () (or @t37 @t672)) % 72.35/72.53 (define @t681 () (or @t671 @t670 @t37)) % 72.35/72.53 (define @t682 () (=> @t669 @t37)) % 72.35/72.53 (define @t683 () (not (= @t442 @t598))) % 72.35/72.53 (define @t684 () (or @t516 @t604 @t603 @t602 @t601 @t600 @t683)) % 72.35/72.53 (define @t685 () (forall @t606 @t684)) % 72.35/72.53 (define @t686 () (tptp.strictorderedP @t442)) % 72.35/72.53 (define @t687 () (= @t686 @t685)) % 72.35/72.53 (define @t688 () (or @t467 @t687)) % 72.35/72.53 (define @t689 () (forall @t9 (or @t212 @t607))) % 72.35/72.53 (define @t690 () (forall @t606 (or @t516 @t604 @t603 @t602 @t601 @t600 (not (= @t598 @t442))))) % 72.35/72.53 (define @t691 () (= @t686 @t690)) % 72.35/72.53 (define @t692 () (or @t467 @t691)) % 72.35/72.53 (define @t693 () (@var "BOUND_VARIABLE_10629" $$unsorted)) % 72.35/72.53 (define @t694 () (and (= @t693 tptp.nil) @t207)) % 72.35/72.53 (define @t695 () (= tptp.nil (tptp.app @t2 @t693))) % 72.35/72.53 (define @t696 () (= @t695 @t694)) % 72.35/72.53 (define @t697 () (not (tptp.ssList @t693))) % 72.35/72.53 (define @t698 () (or @t212 @t697 @t696)) % 72.35/72.53 (define @t699 () (or @t697 @t696)) % 72.35/72.53 (define @t700 () (or @t212 @t699)) % 72.35/72.53 (define @t701 () (@list @t2 @t693)) % 72.35/72.53 (define @t702 () (forall @t701 @t700)) % 72.35/72.53 (define @t703 () (@list @t693)) % 72.35/72.53 (define @t704 () (forall @t703 @t700)) % 72.35/72.53 (define @t705 () (forall @t703 @t699)) % 72.35/72.53 (define @t706 () (or @t212 @t705)) % 72.35/72.53 (define @t707 () (= @t115 (and @t236 @t207))) % 72.35/72.53 (define @t708 () (forall @t7 (or @t241 @t707))) % 72.35/72.53 (define @t709 () (= tptp.nil @t433)) % 72.35/72.53 (define @t710 () (and @t709 (= @t441 tptp.nil))) % 72.35/72.53 (define @t711 () (= @t443 @t710)) % 72.35/72.53 (define @t712 () (tptp.ssList @t441)) % 72.35/72.53 (define @t713 () (not @t712)) % 72.35/72.53 (define @t714 () (or @t713 @t456 @t711)) % 72.35/72.53 (define @t715 () (forall @t701 (or @t212 @t697 (= @t695 (and (= tptp.nil @t693) @t207))))) % 72.35/72.53 (define @t716 () (= tptp.nil @t441)) % 72.35/72.53 (define @t717 () (and @t709 @t716)) % 72.35/72.53 (define @t718 () (= @t443 @t717)) % 72.35/72.53 (define @t719 () (or @t713 @t456 @t718)) % 72.35/72.53 (define @t720 () (@list @t715)) % 72.35/72.53 (define @t721 () (@list @t440 @t435)) % 72.35/72.53 (define @t722 () (or @t551 @t550 @t712)) % 72.35/72.53 (define @t723 () (= tptp.nil @t435)) % 72.35/72.53 (define @t724 () (and @t723 (= @t440 tptp.nil))) % 72.35/72.53 (define @t725 () (= @t716 @t724)) % 72.35/72.53 (define @t726 () (or @t551 @t550 @t725)) % 72.35/72.53 (define @t727 () (and @t723 (= tptp.nil @t440))) % 72.35/72.53 (define @t728 () (= @t716 @t727)) % 72.35/72.53 (define @t729 () (or @t551 @t550 @t728)) % 72.35/72.53 (define @t730 () (@var "BOUND_VARIABLE_9180" $$unsorted)) % 72.35/72.53 (define @t731 () (not (= @t2 (tptp.cons @t730 @t2)))) % 72.35/72.53 (define @t732 () (not (tptp.ssItem @t730))) % 72.35/72.53 (define @t733 () (or @t732 @t731)) % 72.35/72.53 (define @t734 () (or @t212 @t733)) % 72.35/72.53 (define @t735 () (forall (@list @t2 @t730) @t734)) % 72.35/72.53 (define @t736 () (@list @t730)) % 72.35/72.53 (define @t737 () (forall @t736 @t734)) % 72.35/72.53 (define @t738 () (forall @t736 @t733)) % 72.35/72.53 (define @t739 () (or @t212 @t738)) % 72.35/72.53 (define @t740 () (not (= @t2 @t54))) % 72.35/72.53 (define @t741 () (forall @t7 (or @t516 @t740))) % 72.35/72.53 (define @t742 () (not @t723)) % 72.35/72.53 (define @t743 () (or @t519 @t463 @t742)) % 72.35/72.53 (define @t744 () (not @t727)) % 72.35/72.53 (define @t745 () (not @t716)) % 72.35/72.53 (define @t746 () (@list true false)) % 72.35/72.53 (define @t747 () (not @t717)) % 72.35/72.53 (define @t748 () (@list @t453)) % 72.35/72.53 (define @t749 () (tptp.strictorderedP @t448)) % 72.35/72.53 (define @t750 () (or @t452 @t749)) % 72.35/72.53 (define @t751 () (tptp.app (tptp.app @t438 (tptp.cons @t436 @t201)) (tptp.cons @t434 @t433))) % 72.35/72.53 (define @t752 () (not (= @t751 @t442))) % 72.35/72.53 (define @t753 () (tptp.lt @t436 @t434)) % 72.35/72.53 (define @t754 () (or @t465 @t463 @t753 @t459 @t457 @t456 @t752)) % 72.35/72.53 (define @t755 () (= @t442 @t751)) % 72.35/72.53 (define @t756 () (not @t755)) % 72.35/72.53 (define @t757 () (or @t465 @t463 @t753 @t459 @t457 @t456 @t756)) % 72.35/72.53 (define @t758 () (@var "BOUND_VARIABLE_9574" $$unsorted)) % 72.35/72.53 (define @t759 () (not (tptp.lt @t758 @t2))) % 72.35/72.53 (define @t760 () (not (tptp.lt @t2 @t758))) % 72.35/72.53 (define @t761 () (not (tptp.ssItem @t758))) % 72.35/72.53 (define @t762 () (not @t8)) % 72.35/72.53 (define @t763 () (or @t761 @t760 @t759)) % 72.35/72.53 (define @t764 () (or @t762 @t763)) % 72.35/72.53 (define @t765 () (forall (@list @t2 @t758) @t764)) % 72.35/72.53 (define @t766 () (@list @t758)) % 72.35/72.53 (define @t767 () (forall @t766 @t764)) % 72.35/72.53 (define @t768 () (forall @t766 @t763)) % 72.35/72.53 (define @t769 () (or @t762 @t768)) % 72.35/72.53 (define @t770 () (not @t91)) % 72.35/72.53 (define @t771 () (or @t516 @t770 @t90)) % 72.35/72.53 (define @t772 () (forall @t7 @t771)) % 72.35/72.53 (define @t773 () (not @t753)) % 72.35/72.53 (define @t774 () (or @t463 @t465 @t461 @t773)) % 72.35/72.53 (define @t775 () (not @t592)) % 72.35/72.53 (define @t776 () (not @t586)) % 72.35/72.53 (define @t777 () (not @t549)) % 72.35/72.53 (define @t778 () (not @t524)) % 72.35/72.53 (define @t779 () (not @t476)) % 72.35/72.53 (define @t780 () (not @t472)) % 72.35/72.53 (define @t781 () (and @t756 @t755)) % 72.35/72.53 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 72.35/72.53 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 72.35/72.53 (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))))))))))) % 72.35/72.53 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 72.35/72.53 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 72.35/72.53 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 72.35/72.53 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 72.35/72.53 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 72.35/72.53 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 72.35/72.53 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 72.35/72.53 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t26))))))))))))))) % 72.35/72.53 (assume @p12 @t52) % 72.35/72.53 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t53)))))))))))))))) % 72.35/72.53 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t53))))))))))))) % 72.35/72.53 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 72.35/72.53 (assume @p16 @t58) % 72.35/72.53 (assume @p17 @t59) % 72.35/72.53 (assume @p18 @t64) % 72.35/72.53 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t65))))))))))) % 72.35/72.53 (assume @p20 (forall @t9 (=> @t17 (or @t67 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t66 @t2))))))))) % 72.35/72.53 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 72.35/72.53 (assume @p22 (forall @t9 (=> @t17 (=> @t69 (tptp.ssItem @t68))))) % 72.35/72.53 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 72.35/72.53 (assume @p24 (forall @t9 (=> @t17 (=> @t69 (tptp.ssList @t70))))) % 72.35/72.53 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 72.35/72.53 (assume @p26 @t75) % 72.35/72.53 (assume @p27 @t82) % 72.35/72.53 (assume @p28 @t85) % 72.35/72.53 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t87 @t86) @t3)))))) % 72.35/72.53 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t87 @t26) (tptp.leq @t2 @t12))))))))) % 72.35/72.53 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 72.35/72.53 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t88 @t86)))))) % 72.35/72.53 (assume @p33 @t95) % 72.35/72.53 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t91 @t37) @t96)))))))) % 72.35/72.53 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t97 @t89)))))) % 72.35/72.53 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t98))))))))) % 72.35/72.53 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t98))))))))) % 72.35/72.53 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 72.35/72.53 (assume @p39 (not (tptp.singletonP tptp.nil))) % 72.35/72.53 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 72.35/72.53 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 72.35/72.53 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 72.35/72.53 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 72.35/72.53 (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)))))))))))) % 72.35/72.53 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 72.35/72.53 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t67)))) % 72.35/72.53 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 72.35/72.53 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 72.35/72.53 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 72.35/72.53 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t99 @t1))))))))) % 72.35/72.53 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 72.35/72.53 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t67)))) % 72.35/72.53 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 72.35/72.53 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 72.35/72.53 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 72.35/72.53 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t99 @t10) @t1))))))))))) % 72.35/72.53 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 72.35/72.53 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t67)))) % 72.35/72.53 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t100)))) % 72.35/72.53 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 72.35/72.53 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t100)))) % 72.35/72.53 (assume @p62 (tptp.totalorderP tptp.nil)) % 72.35/72.53 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t100)))) % 72.35/72.53 (assume @p64 (tptp.strictorderP tptp.nil)) % 72.35/72.53 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t100)))) % 72.35/72.53 (assume @p66 (tptp.totalorderedP tptp.nil)) % 72.35/72.53 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t104) (or @t102 (and @t103 (tptp.totalorderedP @t1) (tptp.leq @t2 @t101))))))))) % 72.35/72.53 (assume @p68 @t106) % 72.35/72.53 (assume @p69 (tptp.strictorderedP tptp.nil)) % 72.35/72.53 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t104) (or @t102 (and @t103 (tptp.strictorderedP @t1) (tptp.lt @t2 @t101))))))))) % 72.35/72.53 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t100)))) % 72.35/72.53 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 72.35/72.53 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t100)))) % 72.35/72.53 (assume @p74 (tptp.equalelemsP tptp.nil)) % 72.35/72.53 (assume @p75 (forall @t9 (=> @t17 (=> @t69 (exists @t7 (and @t6 (= @t68 @t1))))))) % 72.35/72.53 (assume @p76 (forall @t9 (=> @t17 (=> @t69 (exists @t7 (and @t21 (= @t70 @t1))))))) % 72.35/72.53 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t103 @t69 (= @t101 @t68) (= (tptp.tl @t1) @t70)) @t65)))))) % 72.35/72.53 (assume @p78 (forall @t9 (=> @t17 (=> @t69 (= (tptp.cons @t68 @t70) @t2))))) % 72.35/72.53 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t71) @t107)))))))) % 72.35/72.53 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t76) @t107)))))))) % 72.35/72.53 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 72.35/72.53 (assume @p82 @t113) % 72.35/72.53 (assume @p83 @t120) % 72.35/72.53 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 72.35/72.53 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t69 (= (tptp.hd @t71) @t68))))))) % 72.35/72.53 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t69 (= (tptp.tl @t71) (tptp.app @t70 @t1)))))))) % 72.35/72.53 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t88 (tptp.geq @t1 @t2)) @t3)))))) % 72.35/72.53 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t88 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 72.35/72.53 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 72.35/72.53 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 72.35/72.53 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t87 @t37) @t96)))))))) % 72.35/72.53 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t87 (or @t3 @t91))))))) % 72.35/72.53 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t91 (and @t4 @t87))))))) % 72.35/72.53 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t97 (not (tptp.gt @t1 @t2)))))))) % 72.35/72.53 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t97 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 72.35/72.53 (assume @p96 @t174) % 72.35/72.53 (assume @p97 true) % 72.35/72.53 (step @p98 :rule bool-impl-elim :args (@t17 @t175)) % 72.35/72.53 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t175)))) % 72.35/72.53 (step @p100 :rule eq-symm :args (@t83 @t2)) % 72.35/72.53 (step @p101 :rule refl :args (@t17)) % 72.35/72.53 (step @p102 :rule cong :premises (@p101 @p100) :args (@t84)) % 72.35/72.53 (step @p103 :rule cong :premises (@p102) :args (@t85)) % 72.35/72.53 (step @p104 :rule trans :premises (@p103 @p99)) % 72.35/72.53 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 72.35/72.53 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t201))) % 72.35/72.53 (step @p107 :rule aci_norm :args ((= (or @t197 @t196 @t195 @t194 @t193 @t192 @t191 false @t190 @t189) @t198))) % 72.35/72.53 (step @p108 :rule eq-symm :args (@t181 tptp.nil)) % 72.35/72.53 (step @p109 :rule cong :premises (@p108) :args (@t202)) % 72.35/72.53 (step @p110 :rule refl :args (@t183)) % 72.35/72.53 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t203)) % 72.35/72.53 (step @p112 :rule refl :args (@t188)) % 72.35/72.53 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t204)) % 72.35/72.53 (step @p114 :rule refl :args (@t190)) % 72.35/72.53 (step @p115 :rule evaluate :args ((not true))) % 72.35/72.53 (step @p116 :rule eq-refl :args (@t181)) % 72.35/72.53 (step @p117 :rule cong :premises (@p116) :args (@t205)) % 72.35/72.53 (step @p118 :rule trans :premises (@p117 @p115)) % 72.35/72.53 (step @p119 :rule refl :args (@t191)) % 72.35/72.53 (step @p120 :rule refl :args (@t192)) % 72.35/72.53 (step @p121 :rule refl :args (@t193)) % 72.35/72.53 (step @p122 :rule refl :args (@t194)) % 72.35/72.53 (step @p123 :rule refl :args (@t195)) % 72.35/72.53 (step @p124 :rule refl :args (@t196)) % 72.35/72.53 (step @p125 :rule refl :args (@t197)) % 72.35/72.53 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p114 @p113) :args (@t206)) % 72.35/72.53 (step @p127 :rule trans :premises (@p126 @p107)) % 72.35/72.53 (step @p128 :rule cong :premises (@p127) :args ((forall @t199 @t206))) % 72.35/72.53 (step @p129 :rule quant-var-elim-eq :args ((= (forall @t9 @t213) @t206))) % 72.35/72.53 (step @p130 :rule aci_norm :args ((= @t214 @t213))) % 72.35/72.53 (step @p131 :rule cong :premises (@p130) :args (@t215)) % 72.35/72.53 (step @p132 :rule trans :premises (@p131 @p129)) % 72.35/72.53 (step @p133 :rule cong :premises (@p132) :args (@t216)) % 72.35/72.53 (step @p134 :rule quant-merge-prenex :args ((= @t216 @t217))) % 72.35/72.53 (step @p135 :rule symm :premises (@p134)) % 72.35/72.53 (step @p136 :rule quant_var_reordering :args ((= (forall @t218 @t214) @t217))) % 72.35/72.53 (step @p137 :rule trans :premises (@p136 @p135 @p133)) % 72.35/72.53 (step @p138 :rule trans :premises (@p137 @p128)) % 72.35/72.53 (step @p139 :rule refl :args (@t208)) % 72.35/72.53 (step @p140 :rule eq-symm :args (@t182 tptp.nil)) % 72.35/72.53 (step @p141 :rule cong :premises (@p140) :args (@t219)) % 72.35/72.53 (step @p142 :rule nary_cong :premises (@p141 @p139) :args (@t220)) % 72.35/72.53 (step @p143 :rule refl :args (@t209)) % 72.35/72.53 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t221)) % 72.35/72.53 (step @p145 :rule refl :args (@t211)) % 72.35/72.53 (step @p146 :rule refl :args (@t212)) % 72.35/72.53 (step @p147 :rule nary_cong :premises (@p146 @p124 @p123 @p122 @p121 @p120 @p119 @p145 @p114 @p144) :args (@t222)) % 72.35/72.53 (step @p148 :rule aci_norm :args ((= @t225 @t222))) % 72.35/72.53 (step @p149 :rule trans :premises (@p148 @p147)) % 72.35/72.53 (step @p150 :rule cong :premises (@p149) :args (@t226)) % 72.35/72.53 (step @p151 :rule trans :premises (@p150 @p138)) % 72.35/72.53 (step @p152 :rule quant-merge-prenex :args ((= (forall @t9 @t227) @t226))) % 72.35/72.53 (step @p153 :rule alpha_equiv :args (@t228 (@list @t182 @t184) (@list @t1 @t229))) % 72.35/72.53 (step @p154 :rule 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72.35/72.53 (step @p1019 :rule refl :args (@t8)) % 72.35/72.53 (step @p1020 :rule cong :premises (@p1019 @p1018) :args (@t94)) % 72.35/72.53 (step @p1021 :rule cong :premises (@p1020) :args (@t95)) % 72.35/72.53 (step @p1022 :rule trans :premises (@p1021 @p1011)) % 72.35/72.53 (step @p1023 :rule eq_resolve :premises (@p33 @p1022)) % 72.35/72.53 (step @p1024 :rule instantiate :premises (@p1023) :args ((@list @t434 @t436))) % 72.35/72.53 (step @p1025 :rule bool-double-not-elim :args (@t460)) % 72.35/72.53 (step @p1026 :rule nary_cong :premises (@p466 @p1025) :args ((or @t468 (not @t461)))) % 72.35/72.53 (step @p1027 :rule cnf_or_neg :args (@t468 3)) % 72.35/72.53 (step @p1028 :rule eq_resolve :premises (@p1027 @p1026)) % 72.35/72.53 (step @p1029 :rule reordering :premises (@p1028) :args ((or @t460 @t468))) % 72.35/72.53 (step @p1030 :rule chain_m_resolution :premises (@p1029 @p464) :args (@t460 @t469 @t470)) % 72.35/72.53 (step @p1031 :rule cnf_or_pos :args (@t774)) % 72.35/72.53 (step @p1032 :rule reordering :premises (@p1031) :args ((or @t465 @t463 @t461 @t773 (not @t774)))) % 72.35/72.53 (step @p1033 :rule chain_m_resolution :premises (@p1032 @p549 @p597 @p1030 @p1024) :args (@t773 @t527 (@list @t464 @t462 @t460 @t774))) % 72.35/72.53 (step @p1034 :rule cnf_or_pos :args (@t757)) % 72.35/72.53 (step @p1035 :rule reordering :premises (@p1034) :args ((or @t465 @t463 @t459 @t457 @t456 @t753 @t756 (not @t757)))) % 72.35/72.53 (step @p1036 :rule chain_m_resolution :premises (@p1035 @p549 @p597 @p558 @p471 @p481 @p1033 @p996) :args (@t756 (@list false false false false false true false) (@list @t464 @t462 @t458 @t432 @t455 @t753 @t757))) % 72.35/72.53 (step @p1037 :rule bool-double-not-elim :args (@t755)) % 72.35/72.53 (step @p1038 :rule refl :args (@t775)) % 72.35/72.53 (step @p1039 :rule refl :args (@t776)) % 72.35/72.53 (step @p1040 :rule refl :args (@t777)) % 72.35/72.53 (step @p1041 :rule refl :args (@t778)) % 72.35/72.53 (step @p1042 :rule refl :args (@t779)) % 72.35/72.53 (step @p1043 :rule refl :args (@t780)) % 72.35/72.53 (step @p1044 :rule nary_cong :premises (@p1043 @p1042 @p1041 @p1040 @p1039 @p1038 @p1037) :args ((or @t780 @t779 @t778 @t777 @t776 @t775 (not @t756)))) % 72.35/72.53 (assume-push @p1104 @t756) % 72.35/72.53 (assume-push @p1105 @t755) % 72.35/72.53 (step @p1047 :rule evaluate :args ((= true false))) % 72.35/72.53 (step @p1048 :rule false_intro :premises (@p1036)) % 72.35/72.53 (step @p1049 :rule symm :premises (@p484)) % 72.35/72.53 (step @p1050 :rule refl :args (@t434)) % 72.35/72.53 (step @p1051 :rule cong :premises (@p1050 @p1049) :args (@t590)) % 72.35/72.53 (step @p1052 :rule trans :premises (@p672 @p1051)) % 72.35/72.53 (step @p1053 :rule symm :premises (@p474)) % 72.35/72.53 (step @p1054 :rule refl :args (@t436)) % 72.35/72.53 (step @p1055 :rule cong :premises (@p1054 @p1053) :args (@t583)) % 72.35/72.53 (step @p1056 :rule trans :premises (@p657 @p1055)) % 72.35/72.53 (step @p1057 :rule refl :args (@t438)) % 72.35/72.53 (step @p1058 :rule cong :premises (@p1057 @p1056) :args (@t523)) % 72.35/72.53 (step @p1059 :rule trans :premises (@p561 @p1058)) % 72.35/72.53 (step @p1060 :rule cong :premises (@p1059 @p1052) :args (@t548)) % 72.35/72.53 (step @p1061 :rule chain_m_resolution :premises (@p602 @p481 @p600 @p590 @p562) :args (@t549 @t527 @t553)) % 72.35/72.53 (step @p1062 :rule trans :premises (@p1061 @p1060)) % 72.35/72.53 (step @p1063 :rule true_intro :premises (@p1062)) % 72.35/72.53 (step @p1064 :rule symm :premises (@p1063)) % 72.35/72.53 (step @p1065 :rule trans :premises (@p1064 @p1048)) % 72.35/72.53 (step @p1066 false :rule eq_resolve :premises (@p1065 @p1047)) % 72.35/72.53 (step-pop @p1106 :rule scope :premises (@p1066)) % 72.35/72.53 (step-pop @p1107 :rule scope :premises (@p1106)) % 72.35/72.53 (step @p1067 :rule process_scope :premises (@p1107) :args (false)) % 72.35/72.53 (assume-push @p1108 @t472) % 72.35/72.53 (assume-push @p1109 @t476) % 72.35/72.53 (assume-push @p1110 @t524) % 72.35/72.53 (assume-push @p1111 @t549) % 72.35/72.53 (assume-push @p1112 @t586) % 72.35/72.53 (assume-push @p1113 @t592) % 72.35/72.53 (assume-push @p1114 @t756) % 72.35/72.53 (step @p1049 :rule symm :premises (@p484)) % 72.35/72.53 (step @p1050 :rule refl :args (@t434)) % 72.35/72.53 (step @p1051 :rule cong :premises (@p1050 @p1049) :args (@t590)) % 72.35/72.53 (step @p1052 :rule trans :premises (@p672 @p1051)) % 72.35/72.53 (step @p1053 :rule symm :premises (@p474)) % 72.35/72.53 (step @p1054 :rule refl :args (@t436)) % 72.35/72.53 (step @p1055 :rule cong :premises (@p1054 @p1053) :args (@t583)) % 72.35/72.53 (step @p1056 :rule trans :premises (@p657 @p1055)) % 72.35/72.53 (step @p1057 :rule refl :args (@t438)) % 72.35/72.53 (step @p1058 :rule cong :premises (@p1057 @p1056) :args (@t523)) % 72.35/72.53 (step @p1059 :rule trans :premises (@p561 @p1058)) % 72.35/72.53 (step @p1060 :rule cong :premises (@p1059 @p1052) :args (@t548)) % 72.35/72.53 (step @p1077 :rule trans :premises (@p603 @p1060)) % 72.35/72.53 (step @p1078 :rule and_intro :premises (@p1036 @p1077)) % 72.35/72.53 (step-pop @p1115 :rule scope :premises (@p1078)) % 72.35/72.53 (step-pop @p1116 :rule scope :premises (@p1115)) % 72.35/72.53 (step-pop @p1117 :rule scope :premises (@p1116)) % 72.35/72.53 (step-pop @p1118 :rule scope :premises (@p1117)) % 72.35/72.53 (step-pop @p1119 :rule scope :premises (@p1118)) % 72.35/72.53 (step-pop @p1120 :rule scope :premises (@p1119)) % 72.35/72.53 (step-pop @p1121 :rule scope :premises (@p1120)) % 72.35/72.53 (step @p1079 :rule process_scope :premises (@p1121) :args (@t781)) % 72.35/72.53 (step @p1087 :rule implies_elim :premises (@p1079)) % 72.35/72.53 (step @p1088 :rule resolution :premises (@p1087 @p1067) :args (true @t781)) % 72.35/72.53 (step @p1089 :rule not_and :premises (@p1088)) % 72.35/72.53 (step @p1090 :rule eq_resolve :premises (@p1089 @p1044)) % 72.35/72.53 (step @p1091 false :rule chain_m_resolution :premises (@p1090 @p1036 @p672 @p657 @p603 @p561 @p484 @p474) :args (false (@list true false false false false false false) (@list @t755 @t592 @t586 @t549 @t524 @t476 @t472))) % 72.35/72.53 ) % 72.35/72.53 % SZS output end Proof % 72.35/72.53 % cvc5 exiting %------------------------------------------------------------------------------