%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC170+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 : n028.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 08:58:19 AM UTC 2026 % Result : Theorem 36.03s 36.23s % Output : Proof 36.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC170+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 % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:20:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 36.03/36.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 36.03/36.23 --- Run --no-e-matching --full-saturate-quant at 6... % 36.03/36.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 36.03/36.23 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 36.03/36.23 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.03/36.23 % SZS status Theorem % 36.03/36.23 % SZS output start Proof % 36.03/36.23 ( % 36.03/36.23 (declare-sort $$unsorted 0) % 36.03/36.23 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 36.03/36.23 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 36.03/36.23 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.23 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.23 (declare-const tptp.nil $$unsorted) % 36.03/36.23 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.ssList (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 36.03/36.23 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 36.03/36.23 (define @t1 () (@var "V" $$unsorted)) % 36.03/36.23 (define @t2 () (@var "U" $$unsorted)) % 36.03/36.23 (define @t3 () (= @t2 @t1)) % 36.03/36.23 (define @t4 () (not @t3)) % 36.03/36.23 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 36.03/36.23 (define @t6 () (tptp.ssItem @t1)) % 36.03/36.23 (define @t7 () (@list @t1)) % 36.03/36.23 (define @t8 () (forall @t7 (=> @t6 @t5))) % 36.03/36.23 (define @t9 () (tptp.ssItem @t2)) % 36.03/36.23 (define @t10 () (=> @t9 @t8)) % 36.03/36.23 (define @t11 () (@list @t2)) % 36.03/36.23 (define @t12 () (forall @t11 @t10)) % 36.03/36.23 (define @t13 () (@var "X" $$unsorted)) % 36.03/36.23 (define @t14 () (tptp.cons @t1 @t13)) % 36.03/36.23 (define @t15 () (@var "W" $$unsorted)) % 36.03/36.23 (define @t16 () (tptp.ssList @t13)) % 36.03/36.23 (define @t17 () (@list @t13)) % 36.03/36.23 (define @t18 () (tptp.ssList @t15)) % 36.03/36.23 (define @t19 () (@list @t15)) % 36.03/36.23 (define @t20 () (tptp.ssList @t2)) % 36.03/36.23 (define @t21 () (tptp.cons @t1 tptp.nil)) % 36.03/36.23 (define @t22 () (and @t6 (= @t21 @t2))) % 36.03/36.23 (define @t23 () (exists @t7 @t22)) % 36.03/36.23 (define @t24 () (tptp.singletonP @t2)) % 36.03/36.23 (define @t25 () (= @t24 @t23)) % 36.03/36.23 (define @t26 () (=> @t20 @t25)) % 36.03/36.23 (define @t27 () (forall @t11 @t26)) % 36.03/36.23 (define @t28 () (tptp.app @t1 @t15)) % 36.03/36.23 (define @t29 () (tptp.frontsegP @t2 @t1)) % 36.03/36.23 (define @t30 () (tptp.ssList @t1)) % 36.03/36.23 (define @t31 () (tptp.app @t15 @t1)) % 36.03/36.23 (define @t32 () (tptp.rearsegP @t2 @t1)) % 36.03/36.23 (define @t33 () (tptp.segmentP @t2 @t1)) % 36.03/36.23 (define @t34 () (tptp.leq @t15 @t1)) % 36.03/36.23 (define @t35 () (tptp.leq @t1 @t15)) % 36.03/36.23 (define @t36 () (not (and @t35 @t34))) % 36.03/36.23 (define @t37 () (@var "Z" $$unsorted)) % 36.03/36.23 (define @t38 () (@var "Y" $$unsorted)) % 36.03/36.23 (define @t39 () (tptp.app @t13 (tptp.cons @t1 @t38))) % 36.03/36.23 (define @t40 () (tptp.app @t39 (tptp.cons @t15 @t37))) % 36.03/36.23 (define @t41 () (= @t40 @t2)) % 36.03/36.23 (define @t42 () (=> @t41 @t36)) % 36.03/36.23 (define @t43 () (tptp.ssList @t37)) % 36.03/36.23 (define @t44 () (=> @t43 @t42)) % 36.03/36.23 (define @t45 () (@list @t37)) % 36.03/36.23 (define @t46 () (forall @t45 @t44)) % 36.03/36.23 (define @t47 () (tptp.ssList @t38)) % 36.03/36.23 (define @t48 () (=> @t47 @t46)) % 36.03/36.23 (define @t49 () (@list @t38)) % 36.03/36.23 (define @t50 () (forall @t49 @t48)) % 36.03/36.23 (define @t51 () (=> @t16 @t50)) % 36.03/36.23 (define @t52 () (forall @t17 @t51)) % 36.03/36.23 (define @t53 () (tptp.ssItem @t15)) % 36.03/36.23 (define @t54 () (=> @t53 @t52)) % 36.03/36.23 (define @t55 () (forall @t19 @t54)) % 36.03/36.23 (define @t56 () (=> @t6 @t55)) % 36.03/36.23 (define @t57 () (forall @t7 @t56)) % 36.03/36.23 (define @t58 () (tptp.cyclefreeP @t2)) % 36.03/36.23 (define @t59 () (= @t58 @t57)) % 36.03/36.23 (define @t60 () (=> @t20 @t59)) % 36.03/36.23 (define @t61 () (forall @t11 @t60)) % 36.03/36.23 (define @t62 () (tptp.lt @t1 @t15)) % 36.03/36.23 (define @t63 () (= @t1 @t15)) % 36.03/36.23 (define @t64 () (not @t63)) % 36.03/36.23 (define @t65 () (=> @t41 @t64)) % 36.03/36.23 (define @t66 () (=> @t43 @t65)) % 36.03/36.23 (define @t67 () (forall @t45 @t66)) % 36.03/36.23 (define @t68 () (=> @t47 @t67)) % 36.03/36.23 (define @t69 () (forall @t49 @t68)) % 36.03/36.23 (define @t70 () (=> @t16 @t69)) % 36.03/36.23 (define @t71 () (forall @t17 @t70)) % 36.03/36.23 (define @t72 () (=> @t53 @t71)) % 36.03/36.23 (define @t73 () (forall @t19 @t72)) % 36.03/36.23 (define @t74 () (=> @t6 @t73)) % 36.03/36.23 (define @t75 () (forall @t7 @t74)) % 36.03/36.23 (define @t76 () (tptp.duplicatefreeP @t2)) % 36.03/36.23 (define @t77 () (= @t76 @t75)) % 36.03/36.23 (define @t78 () (=> @t20 @t77)) % 36.03/36.23 (define @t79 () (forall @t11 @t78)) % 36.03/36.23 (define @t80 () (forall @t7 (=> @t30 @t5))) % 36.03/36.23 (define @t81 () (=> @t20 @t80)) % 36.03/36.23 (define @t82 () (forall @t11 @t81)) % 36.03/36.23 (define @t83 () (tptp.cons @t1 @t2)) % 36.03/36.23 (define @t84 () (tptp.ssList @t83)) % 36.03/36.23 (define @t85 () (forall @t7 (=> @t6 @t84))) % 36.03/36.23 (define @t86 () (=> @t20 @t85)) % 36.03/36.23 (define @t87 () (forall @t11 @t86)) % 36.03/36.23 (define @t88 () (tptp.ssList tptp.nil)) % 36.03/36.23 (define @t89 () (= @t1 @t2)) % 36.03/36.23 (define @t90 () (tptp.cons @t15 @t1)) % 36.03/36.23 (define @t91 () (= tptp.nil @t2)) % 36.03/36.23 (define @t92 () (tptp.hd @t2)) % 36.03/36.23 (define @t93 () (tptp.ssItem @t92)) % 36.03/36.23 (define @t94 () (not @t91)) % 36.03/36.23 (define @t95 () (=> @t94 @t93)) % 36.03/36.23 (define @t96 () (=> @t20 @t95)) % 36.03/36.23 (define @t97 () (forall @t11 @t96)) % 36.03/36.23 (define @t98 () (tptp.hd @t83)) % 36.03/36.23 (define @t99 () (=> @t6 (= @t98 @t1))) % 36.03/36.23 (define @t100 () (forall @t7 @t99)) % 36.03/36.23 (define @t101 () (=> @t20 @t100)) % 36.03/36.23 (define @t102 () (forall @t11 @t101)) % 36.03/36.23 (define @t103 () (tptp.tl @t2)) % 36.03/36.23 (define @t104 () (tptp.app @t2 @t1)) % 36.03/36.23 (define @t105 () (tptp.ssList @t104)) % 36.03/36.23 (define @t106 () (forall @t7 (=> @t30 @t105))) % 36.03/36.23 (define @t107 () (=> @t20 @t106)) % 36.03/36.23 (define @t108 () (forall @t11 @t107)) % 36.03/36.23 (define @t109 () (tptp.app @t1 @t2)) % 36.03/36.23 (define @t110 () (= (tptp.cons @t15 @t109) (tptp.app @t90 @t2))) % 36.03/36.23 (define @t111 () (forall @t19 (=> @t53 @t110))) % 36.03/36.23 (define @t112 () (=> @t30 @t111)) % 36.03/36.23 (define @t113 () (forall @t7 @t112)) % 36.03/36.23 (define @t114 () (=> @t20 @t113)) % 36.03/36.23 (define @t115 () (forall @t11 @t114)) % 36.03/36.23 (define @t116 () (tptp.app tptp.nil @t2)) % 36.03/36.23 (define @t117 () (=> @t20 (= @t116 @t2))) % 36.03/36.23 (define @t118 () (forall @t11 @t117)) % 36.03/36.23 (define @t119 () (tptp.leq @t1 @t2)) % 36.03/36.23 (define @t120 () (tptp.leq @t2 @t1)) % 36.03/36.23 (define @t121 () (tptp.leq @t2 @t2)) % 36.03/36.23 (define @t122 () (forall @t11 (=> @t9 @t121))) % 36.03/36.23 (define @t123 () (tptp.geq @t2 @t1)) % 36.03/36.23 (define @t124 () (tptp.lt @t1 @t2)) % 36.03/36.23 (define @t125 () (tptp.lt @t2 @t1)) % 36.03/36.23 (define @t126 () (tptp.lt @t2 @t15)) % 36.03/36.23 (define @t127 () (tptp.gt @t2 @t1)) % 36.03/36.23 (define @t128 () (tptp.memberP @t15 @t2)) % 36.03/36.23 (define @t129 () (tptp.app @t15 @t2)) % 36.03/36.23 (define @t130 () (tptp.segmentP @t1 @t15)) % 36.03/36.23 (define @t131 () (tptp.segmentP @t1 @t2)) % 36.03/36.23 (define @t132 () (and @t33 @t131)) % 36.03/36.23 (define @t133 () (=> @t132 @t3)) % 36.03/36.23 (define @t134 () (forall @t7 (=> @t30 @t133))) % 36.03/36.23 (define @t135 () (=> @t20 @t134)) % 36.03/36.23 (define @t136 () (forall @t11 @t135)) % 36.03/36.23 (define @t137 () (tptp.segmentP @t2 tptp.nil)) % 36.03/36.23 (define @t138 () (forall @t11 (=> @t20 @t137))) % 36.03/36.23 (define @t139 () (tptp.cons @t2 tptp.nil)) % 36.03/36.23 (define @t140 () (tptp.cyclefreeP @t139)) % 36.03/36.23 (define @t141 () (forall @t11 (=> @t9 @t140))) % 36.03/36.23 (define @t142 () (tptp.hd @t1)) % 36.03/36.23 (define @t143 () (= tptp.nil @t1)) % 36.03/36.23 (define @t144 () (not @t143)) % 36.03/36.23 (define @t145 () (tptp.cons @t2 @t1)) % 36.03/36.23 (define @t146 () (tptp.duplicatefreeP tptp.nil)) % 36.03/36.23 (define @t147 () (= @t15 @t2)) % 36.03/36.23 (define @t148 () (= (tptp.app @t104 @t15) (tptp.app @t2 @t28))) % 36.03/36.23 (define @t149 () (forall @t19 (=> @t18 @t148))) % 36.03/36.23 (define @t150 () (=> @t30 @t149)) % 36.03/36.23 (define @t151 () (forall @t7 @t150)) % 36.03/36.23 (define @t152 () (=> @t20 @t151)) % 36.03/36.23 (define @t153 () (forall @t11 @t152)) % 36.03/36.23 (define @t154 () (and @t143 @t91)) % 36.03/36.23 (define @t155 () (= tptp.nil @t104)) % 36.03/36.23 (define @t156 () (= @t155 @t154)) % 36.03/36.23 (define @t157 () (=> @t30 @t156)) % 36.03/36.23 (define @t158 () (forall @t7 @t157)) % 36.03/36.23 (define @t159 () (=> @t20 @t158)) % 36.03/36.23 (define @t160 () (forall @t11 @t159)) % 36.03/36.23 (define @t161 () (not (tptp.singletonP @t15))) % 36.03/36.23 (define @t162 () (and @t161 (tptp.neq @t13 tptp.nil))) % 36.03/36.23 (define @t163 () (tptp.neq @t38 @t37)) % 36.03/36.23 (define @t164 () (@var "X2" $$unsorted)) % 36.03/36.23 (define @t165 () (tptp.cons @t37 tptp.nil)) % 36.03/36.23 (define @t166 () (tptp.cons @t38 tptp.nil)) % 36.03/36.23 (define @t167 () (@var "X1" $$unsorted)) % 36.03/36.23 (define @t168 () (tptp.app (tptp.app @t167 @t166) @t165)) % 36.03/36.23 (define @t169 () (tptp.app @t168 @t164)) % 36.03/36.23 (define @t170 () (not (= @t169 @t2))) % 36.03/36.23 (define @t171 () (or @t170 @t163)) % 36.03/36.23 (define @t172 () (tptp.ssList @t164)) % 36.03/36.23 (define @t173 () (=> @t172 @t171)) % 36.03/36.23 (define @t174 () (@list @t164)) % 36.03/36.23 (define @t175 () (forall @t174 @t173)) % 36.03/36.23 (define @t176 () (tptp.ssList @t167)) % 36.03/36.23 (define @t177 () (=> @t176 @t175)) % 36.03/36.23 (define @t178 () (@list @t167)) % 36.03/36.23 (define @t179 () (forall @t178 @t177)) % 36.03/36.23 (define @t180 () (tptp.ssItem @t37)) % 36.03/36.23 (define @t181 () (=> @t180 @t179)) % 36.03/36.23 (define @t182 () (forall @t45 @t181)) % 36.03/36.23 (define @t183 () (tptp.ssItem @t38)) % 36.03/36.23 (define @t184 () (=> @t183 @t182)) % 36.03/36.23 (define @t185 () (forall @t49 @t184)) % 36.03/36.23 (define @t186 () (not (tptp.segmentP @t13 @t15))) % 36.03/36.23 (define @t187 () (not (= @t2 @t15))) % 36.03/36.23 (define @t188 () (not (= @t1 @t13))) % 36.03/36.23 (define @t189 () (or @t188 @t187 @t186 @t185 @t162)) % 36.03/36.23 (define @t190 () (=> @t16 @t189)) % 36.03/36.23 (define @t191 () (forall @t17 @t190)) % 36.03/36.23 (define @t192 () (=> @t18 @t191)) % 36.03/36.23 (define @t193 () (forall @t19 @t192)) % 36.03/36.23 (define @t194 () (=> @t30 @t193)) % 36.03/36.23 (define @t195 () (forall @t7 @t194)) % 36.03/36.23 (define @t196 () (=> @t20 @t195)) % 36.03/36.23 (define @t197 () (forall @t11 @t196)) % 36.03/36.23 (define @t198 () (not @t197)) % 36.03/36.23 (define @t199 () (@var "BOUND_VARIABLE_11095" $$unsorted)) % 36.03/36.23 (define @t200 () (tptp.neq @t199 tptp.nil)) % 36.03/36.23 (define @t201 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 36.03/36.23 (define @t202 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 36.03/36.23 (define @t203 () (@var "BOUND_VARIABLE_11070" $$unsorted)) % 36.03/36.23 (define @t204 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 36.03/36.23 (define @t205 () (tptp.app (tptp.app (tptp.app @t204 (tptp.cons @t203 tptp.nil)) (tptp.cons @t202 tptp.nil)) @t201)) % 36.03/36.23 (define @t206 () (and (not (tptp.singletonP @t205)) @t200)) % 36.03/36.23 (define @t207 () (not (tptp.segmentP @t199 @t205))) % 36.03/36.23 (define @t208 () (not (tptp.ssList @t199))) % 36.03/36.23 (define @t209 () (not (tptp.ssList @t201))) % 36.03/36.23 (define @t210 () (not (tptp.ssList @t204))) % 36.03/36.23 (define @t211 () (tptp.neq @t203 @t202)) % 36.03/36.23 (define @t212 () (not (tptp.ssItem @t202))) % 36.03/36.23 (define @t213 () (not (tptp.ssItem @t203))) % 36.03/36.23 (define @t214 () (not (tptp.ssList @t205))) % 36.03/36.23 (define @t215 () (or @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206)) % 36.03/36.23 (define @t216 () (not (= @t205 @t205))) % 36.03/36.23 (define @t217 () (or @t214 @t213 @t212 @t211 @t210 @t209 @t216 @t208 @t207 @t206)) % 36.03/36.23 (define @t218 () (@list @t203 @t202 @t204 @t201 @t199)) % 36.03/36.23 (define @t219 () (not @t24)) % 36.03/36.23 (define @t220 () (and @t219 @t200)) % 36.03/36.23 (define @t221 () (not (tptp.segmentP @t199 @t2))) % 36.03/36.23 (define @t222 () (not (= @t2 @t205))) % 36.03/36.23 (define @t223 () (not @t20)) % 36.03/36.23 (define @t224 () (or @t222 @t223 @t213 @t212 @t211 @t210 @t209 @t222 @t208 @t221 @t220)) % 36.03/36.23 (define @t225 () (or @t223 @t213 @t212 @t211 @t210 @t209 @t222 @t208 @t221 @t220)) % 36.03/36.23 (define @t226 () (forall @t11 @t225)) % 36.03/36.23 (define @t227 () (forall @t218 @t226)) % 36.03/36.23 (define @t228 () (forall (@list @t203 @t202 @t204 @t201 @t199 @t2) @t225)) % 36.03/36.23 (define @t229 () (@list @t2 @t203 @t202 @t204 @t201 @t199)) % 36.03/36.23 (define @t230 () (or @t208 @t221 @t220)) % 36.03/36.23 (define @t231 () (or @t213 @t212 @t211 @t210 @t209 @t222)) % 36.03/36.23 (define @t232 () (or @t223 @t231 @t230)) % 36.03/36.23 (define @t233 () (forall @t229 @t232)) % 36.03/36.23 (define @t234 () (forall @t218 @t232)) % 36.03/36.23 (define @t235 () (forall (@list @t199) @t230)) % 36.03/36.23 (define @t236 () (@list @t1)) % 36.03/36.23 (define @t237 () (forall (@list @t203 @t202 @t204 @t201) @t231)) % 36.03/36.23 (define @t238 () (@var "BOUND_VARIABLE_11007" $$unsorted)) % 36.03/36.23 (define @t239 () (@var "BOUND_VARIABLE_11005" $$unsorted)) % 36.03/36.23 (define @t240 () (@var "BOUND_VARIABLE_11003" $$unsorted)) % 36.03/36.23 (define @t241 () (or @t223 @t237 @t235)) % 36.03/36.23 (define @t242 () (tptp.neq @t1 tptp.nil)) % 36.03/36.23 (define @t243 () (and @t219 @t242)) % 36.03/36.23 (define @t244 () (not @t131)) % 36.03/36.23 (define @t245 () (not @t30)) % 36.03/36.23 (define @t246 () (or @t245 @t244 @t243)) % 36.03/36.23 (define @t247 () (forall @t7 @t246)) % 36.03/36.23 (define @t248 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t239 @t166) (tptp.cons @t240 tptp.nil)) @t238)))) % 36.03/36.23 (define @t249 () (not (tptp.ssList @t238))) % 36.03/36.23 (define @t250 () (not (tptp.ssList @t239))) % 36.03/36.23 (define @t251 () (tptp.neq @t38 @t240)) % 36.03/36.23 (define @t252 () (not (tptp.ssItem @t240))) % 36.03/36.23 (define @t253 () (not @t183)) % 36.03/36.23 (define @t254 () (or @t253 @t252 @t251 @t250 @t249 @t248)) % 36.03/36.23 (define @t255 () (@list @t38 @t240 @t239 @t238)) % 36.03/36.23 (define @t256 () (forall @t255 @t254)) % 36.03/36.23 (define @t257 () (or @t223 @t256 @t247)) % 36.03/36.23 (define @t258 () (or @t256 @t223 @t247)) % 36.03/36.23 (define @t259 () (or @t256 @t223 @t246)) % 36.03/36.23 (define @t260 () (or @t245 @t256 @t223 @t244 @t243)) % 36.03/36.23 (define @t261 () (or @t256 @t245 @t223 @t244 @t243)) % 36.03/36.23 (define @t262 () (or @t223 @t244 @t243)) % 36.03/36.23 (define @t263 () (not (= @t2 @t2))) % 36.03/36.23 (define @t264 () (or @t223 @t263 @t244 @t243)) % 36.03/36.23 (define @t265 () (and @t161 @t242)) % 36.03/36.23 (define @t266 () (not @t130)) % 36.03/36.23 (define @t267 () (not @t18)) % 36.03/36.23 (define @t268 () (or @t187 @t267 @t187 @t266 @t265)) % 36.03/36.23 (define @t269 () (or @t267 @t187 @t266 @t265)) % 36.03/36.23 (define @t270 () (forall @t19 @t269)) % 36.03/36.23 (define @t271 () (or @t256 @t245 @t270)) % 36.03/36.23 (define @t272 () (or @t256 @t245 @t269)) % 36.03/36.23 (define @t273 () (or @t267 @t187 @t256 @t245 @t266 @t265)) % 36.03/36.23 (define @t274 () (or @t187 @t256 @t245 @t266 @t265)) % 36.03/36.23 (define @t275 () (or @t245 @t266 @t265)) % 36.03/36.23 (define @t276 () (not (= @t1 @t1))) % 36.03/36.23 (define @t277 () (or @t245 @t276 @t266 @t265)) % 36.03/36.23 (define @t278 () (not @t16)) % 36.03/36.23 (define @t279 () (or @t188 @t278 @t188 @t186 @t162)) % 36.03/36.23 (define @t280 () (or @t278 @t188 @t186 @t162)) % 36.03/36.23 (define @t281 () (forall @t17 @t280)) % 36.03/36.23 (define @t282 () (or @t187 @t256 @t281)) % 36.03/36.23 (define @t283 () (or @t187 @t256 @t280)) % 36.03/36.23 (define @t284 () (or @t278 @t188 @t187 @t186 @t256 @t162)) % 36.03/36.23 (define @t285 () (or @t188 @t187 @t186 @t256 @t162)) % 36.03/36.23 (define @t286 () (or @t252 @t251 @t250 @t249 @t248)) % 36.03/36.23 (define @t287 () (or @t253 @t286)) % 36.03/36.23 (define @t288 () (forall @t255 @t287)) % 36.03/36.23 (define @t289 () (@list @t240 @t239 @t238)) % 36.03/36.23 (define @t290 () (forall @t289 @t287)) % 36.03/36.23 (define @t291 () (forall @t289 @t286)) % 36.03/36.23 (define @t292 () (@var "BOUND_VARIABLE_10981" $$unsorted)) % 36.03/36.23 (define @t293 () (@var "BOUND_VARIABLE_10979" $$unsorted)) % 36.03/36.23 (define @t294 () (or @t253 @t291)) % 36.03/36.23 (define @t295 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t293 @t166) @t165) @t292)))) % 36.03/36.23 (define @t296 () (not (tptp.ssList @t292))) % 36.03/36.23 (define @t297 () (not (tptp.ssList @t293))) % 36.03/36.23 (define @t298 () (not @t180)) % 36.03/36.23 (define @t299 () (or @t298 @t163 @t297 @t296 @t295)) % 36.03/36.23 (define @t300 () (@list @t37 @t293 @t292)) % 36.03/36.23 (define @t301 () (forall @t300 @t299)) % 36.03/36.23 (define @t302 () (or @t297 @t296 @t295)) % 36.03/36.23 (define @t303 () (or @t298 @t163 @t302)) % 36.03/36.23 (define @t304 () (forall @t300 @t303)) % 36.03/36.23 (define @t305 () (@list @t293 @t292)) % 36.03/36.23 (define @t306 () (forall @t305 @t303)) % 36.03/36.23 (define @t307 () (forall @t305 @t302)) % 36.03/36.23 (define @t308 () (@var "BOUND_VARIABLE_10960" $$unsorted)) % 36.03/36.23 (define @t309 () (or @t298 @t163 @t307)) % 36.03/36.23 (define @t310 () (not (= @t2 (tptp.app @t168 @t308)))) % 36.03/36.23 (define @t311 () (not (tptp.ssList @t308))) % 36.03/36.23 (define @t312 () (not @t176)) % 36.03/36.23 (define @t313 () (or @t312 @t311 @t310)) % 36.03/36.23 (define @t314 () (@list @t167 @t308)) % 36.03/36.23 (define @t315 () (forall @t314 @t313)) % 36.03/36.23 (define @t316 () (or @t298 @t163 @t315)) % 36.03/36.23 (define @t317 () (or @t163 @t315)) % 36.03/36.23 (define @t318 () (or @t311 @t310)) % 36.03/36.23 (define @t319 () (or @t312 @t318)) % 36.03/36.23 (define @t320 () (forall @t314 @t319)) % 36.03/36.23 (define @t321 () (@list @t308)) % 36.03/36.23 (define @t322 () (forall @t321 @t319)) % 36.03/36.23 (define @t323 () (forall @t321 @t318)) % 36.03/36.23 (define @t324 () (or @t312 @t323)) % 36.03/36.23 (define @t325 () (not (= @t2 @t169))) % 36.03/36.23 (define @t326 () (not @t172)) % 36.03/36.23 (define @t327 () (or @t326 @t325)) % 36.03/36.23 (define @t328 () (forall @t174 @t327)) % 36.03/36.23 (define @t329 () (or @t312 @t328)) % 36.03/36.23 (define @t330 () (forall @t178 @t329)) % 36.03/36.23 (define @t331 () (or @t163 @t330)) % 36.03/36.23 (define @t332 () (or @t163 @t329)) % 36.03/36.23 (define @t333 () (or @t312 @t163 @t328)) % 36.03/36.23 (define @t334 () (or @t163 @t328)) % 36.03/36.23 (define @t335 () (or @t163 @t327)) % 36.03/36.23 (define @t336 () (or @t326 @t325 @t163)) % 36.03/36.23 (define @t337 () (or @t325 @t163)) % 36.03/36.23 (define @t338 () (forall @t218 @t215)) % 36.03/36.23 (define @t339 () (@quantifiers_skolemize @t338 3)) % 36.03/36.23 (define @t340 () (@quantifiers_skolemize @t338 1)) % 36.03/36.23 (define @t341 () (tptp.cons @t340 tptp.nil)) % 36.03/36.23 (define @t342 () (@quantifiers_skolemize @t338 0)) % 36.03/36.23 (define @t343 () (tptp.cons @t342 tptp.nil)) % 36.03/36.23 (define @t344 () (@quantifiers_skolemize @t338 2)) % 36.03/36.23 (define @t345 () (tptp.app @t344 @t343)) % 36.03/36.23 (define @t346 () (tptp.app @t345 @t341)) % 36.03/36.23 (define @t347 () (tptp.app @t346 @t339)) % 36.03/36.23 (define @t348 () (@quantifiers_skolemize @t338 4)) % 36.03/36.23 (define @t349 () (tptp.segmentP @t348 @t347)) % 36.03/36.23 (define @t350 () (tptp.neq @t348 tptp.nil)) % 36.03/36.23 (define @t351 () (tptp.singletonP @t347)) % 36.03/36.23 (define @t352 () (not @t351)) % 36.03/36.23 (define @t353 () (and @t352 @t350)) % 36.03/36.23 (define @t354 () (not @t349)) % 36.03/36.23 (define @t355 () (tptp.ssList @t348)) % 36.03/36.23 (define @t356 () (not @t355)) % 36.03/36.23 (define @t357 () (tptp.ssList @t339)) % 36.03/36.23 (define @t358 () (not @t357)) % 36.03/36.23 (define @t359 () (tptp.ssList @t344)) % 36.03/36.23 (define @t360 () (not @t359)) % 36.03/36.23 (define @t361 () (tptp.neq @t342 @t340)) % 36.03/36.23 (define @t362 () (tptp.ssItem @t340)) % 36.03/36.23 (define @t363 () (not @t362)) % 36.03/36.23 (define @t364 () (tptp.ssItem @t342)) % 36.03/36.23 (define @t365 () (not @t364)) % 36.03/36.23 (define @t366 () (tptp.ssList @t347)) % 36.03/36.23 (define @t367 () (not @t366)) % 36.03/36.23 (define @t368 () (or @t367 @t365 @t363 @t361 @t360 @t358 @t356 @t354 @t353)) % 36.03/36.23 (define @t369 () (@list true)) % 36.03/36.23 (define @t370 () (@list @t368)) % 36.03/36.23 (define @t371 () (@var "BOUND_VARIABLE_10147" $$unsorted)) % 36.03/36.23 (define @t372 () (= @t2 @t371)) % 36.03/36.23 (define @t373 () (not (tptp.segmentP @t371 @t2))) % 36.03/36.23 (define @t374 () (not (tptp.segmentP @t2 @t371))) % 36.03/36.23 (define @t375 () (not (tptp.ssList @t371))) % 36.03/36.23 (define @t376 () (or @t375 @t374 @t373 @t372)) % 36.03/36.23 (define @t377 () (or @t223 @t376)) % 36.03/36.23 (define @t378 () (forall (@list @t2 @t371) @t377)) % 36.03/36.23 (define @t379 () (@list @t371)) % 36.03/36.23 (define @t380 () (forall @t379 @t377)) % 36.03/36.23 (define @t381 () (forall @t379 @t376)) % 36.03/36.23 (define @t382 () (or @t223 @t381)) % 36.03/36.23 (define @t383 () (not @t33)) % 36.03/36.23 (define @t384 () (or @t245 @t383 @t244 @t3)) % 36.03/36.23 (define @t385 () (forall @t7 @t384)) % 36.03/36.23 (define @t386 () (or @t383 @t244 @t3)) % 36.03/36.23 (define @t387 () (@list @t347)) % 36.03/36.23 (define @t388 () (tptp.segmentP @t347 tptp.nil)) % 36.03/36.23 (define @t389 () (or @t367 @t388)) % 36.03/36.23 (define @t390 () (@list false false)) % 36.03/36.23 (define @t391 () (= @t2 tptp.nil)) % 36.03/36.23 (define @t392 () (@var "BOUND_VARIABLE_10611" $$unsorted)) % 36.03/36.23 (define @t393 () (and (= @t392 tptp.nil) @t391)) % 36.03/36.23 (define @t394 () (= tptp.nil (tptp.app @t2 @t392))) % 36.03/36.23 (define @t395 () (= @t394 @t393)) % 36.03/36.23 (define @t396 () (not (tptp.ssList @t392))) % 36.03/36.23 (define @t397 () (or @t223 @t396 @t395)) % 36.03/36.23 (define @t398 () (or @t396 @t395)) % 36.03/36.23 (define @t399 () (or @t223 @t398)) % 36.03/36.23 (define @t400 () (@list @t2 @t392)) % 36.03/36.23 (define @t401 () (forall @t400 @t399)) % 36.03/36.23 (define @t402 () (@list @t392)) % 36.03/36.23 (define @t403 () (forall @t402 @t399)) % 36.03/36.23 (define @t404 () (forall @t402 @t398)) % 36.03/36.23 (define @t405 () (or @t223 @t404)) % 36.03/36.23 (define @t406 () (= @t155 (and (= @t1 tptp.nil) @t391))) % 36.03/36.23 (define @t407 () (forall @t7 (or @t245 @t406))) % 36.03/36.23 (define @t408 () (= tptp.nil @t339)) % 36.03/36.23 (define @t409 () (and @t408 (= @t346 tptp.nil))) % 36.03/36.23 (define @t410 () (= tptp.nil @t347)) % 36.03/36.23 (define @t411 () (= @t410 @t409)) % 36.03/36.23 (define @t412 () (tptp.ssList @t346)) % 36.03/36.23 (define @t413 () (not @t412)) % 36.03/36.23 (define @t414 () (or @t413 @t358 @t411)) % 36.03/36.23 (define @t415 () (forall @t400 (or @t223 @t396 (= @t394 (and (= tptp.nil @t392) @t391))))) % 36.03/36.23 (define @t416 () (= tptp.nil @t346)) % 36.03/36.23 (define @t417 () (and @t408 @t416)) % 36.03/36.23 (define @t418 () (= @t410 @t417)) % 36.03/36.23 (define @t419 () (or @t413 @t358 @t418)) % 36.03/36.23 (define @t420 () (@list false)) % 36.03/36.23 (define @t421 () (@var "BOUND_VARIABLE_9383" $$unsorted)) % 36.03/36.23 (define @t422 () (tptp.ssList (tptp.app @t2 @t421))) % 36.03/36.23 (define @t423 () (not (tptp.ssList @t421))) % 36.03/36.23 (define @t424 () (or @t423 @t422)) % 36.03/36.23 (define @t425 () (or @t223 @t424)) % 36.03/36.23 (define @t426 () (forall (@list @t2 @t421) @t425)) % 36.03/36.23 (define @t427 () (@list @t421)) % 36.03/36.23 (define @t428 () (forall @t427 @t425)) % 36.03/36.23 (define @t429 () (forall @t427 @t424)) % 36.03/36.23 (define @t430 () (or @t223 @t429)) % 36.03/36.23 (define @t431 () (forall @t7 (or @t245 @t105))) % 36.03/36.23 (define @t432 () (@var "BOUND_VARIABLE_9139" $$unsorted)) % 36.03/36.23 (define @t433 () (tptp.ssList (tptp.cons @t432 @t2))) % 36.03/36.23 (define @t434 () (not (tptp.ssItem @t432))) % 36.03/36.23 (define @t435 () (or @t434 @t433)) % 36.03/36.23 (define @t436 () (or @t223 @t435)) % 36.03/36.23 (define @t437 () (forall (@list @t2 @t432) @t436)) % 36.03/36.23 (define @t438 () (@list @t432)) % 36.03/36.23 (define @t439 () (forall @t438 @t436)) % 36.03/36.23 (define @t440 () (forall @t438 @t435)) % 36.03/36.23 (define @t441 () (or @t223 @t440)) % 36.03/36.23 (define @t442 () (not @t6)) % 36.03/36.23 (define @t443 () (forall @t7 (or @t442 @t84))) % 36.03/36.23 (define @t444 () (tptp.ssList @t341)) % 36.03/36.23 (define @t445 () (not @t88)) % 36.03/36.23 (define @t446 () (or @t445 @t363 @t444)) % 36.03/36.23 (define @t447 () (@list false false false)) % 36.03/36.23 (define @t448 () (@var "BOUND_VARIABLE_8185" $$unsorted)) % 36.03/36.23 (define @t449 () (= (tptp.neq @t2 @t448) (not (= @t2 @t448)))) % 36.03/36.23 (define @t450 () (not (tptp.ssItem @t448))) % 36.03/36.23 (define @t451 () (not @t9)) % 36.03/36.23 (define @t452 () (or @t450 @t449)) % 36.03/36.23 (define @t453 () (or @t451 @t452)) % 36.03/36.23 (define @t454 () (forall (@list @t2 @t448) @t453)) % 36.03/36.23 (define @t455 () (@list @t448)) % 36.03/36.23 (define @t456 () (forall @t455 @t453)) % 36.03/36.23 (define @t457 () (forall @t455 @t452)) % 36.03/36.23 (define @t458 () (or @t451 @t457)) % 36.03/36.23 (define @t459 () (forall @t7 (or @t442 @t5))) % 36.03/36.23 (define @t460 () (= @t342 @t340)) % 36.03/36.23 (define @t461 () (not @t460)) % 36.03/36.23 (define @t462 () (= @t361 @t461)) % 36.03/36.23 (define @t463 () (or @t365 @t363 @t462)) % 36.03/36.23 (define @t464 () (not @t462)) % 36.03/36.23 (define @t465 () (@list true false)) % 36.03/36.23 (define @t466 () (tptp.ssList @t343)) % 36.03/36.23 (define @t467 () (tptp.ssList @t345)) % 36.03/36.23 (define @t468 () (not @t466)) % 36.03/36.23 (define @t469 () (or @t360 @t468 @t467)) % 36.03/36.23 (define @t470 () (not @t444)) % 36.03/36.23 (define @t471 () (not @t467)) % 36.03/36.23 (define @t472 () (or @t471 @t470 @t412)) % 36.03/36.23 (define @t473 () (@var "BOUND_VARIABLE_8995" $$unsorted)) % 36.03/36.23 (define @t474 () (@var "BOUND_VARIABLE_8993" $$unsorted)) % 36.03/36.23 (define @t475 () (@var "BOUND_VARIABLE_8991" $$unsorted)) % 36.03/36.23 (define @t476 () (tptp.app (tptp.app @t475 (tptp.cons @t1 @t474)) (tptp.cons @t1 @t473))) % 36.03/36.23 (define @t477 () (not (= @t2 @t476))) % 36.03/36.23 (define @t478 () (not (tptp.ssList @t473))) % 36.03/36.23 (define @t479 () (not (tptp.ssList @t474))) % 36.03/36.23 (define @t480 () (not (tptp.ssList @t475))) % 36.03/36.23 (define @t481 () (or @t442 @t480 @t479 @t478 @t477)) % 36.03/36.23 (define @t482 () (@list @t1 @t475 @t474 @t473)) % 36.03/36.23 (define @t483 () (= @t76 (forall @t482 @t481))) % 36.03/36.23 (define @t484 () (or @t480 @t479 @t478 @t477)) % 36.03/36.23 (define @t485 () (or @t442 @t484)) % 36.03/36.23 (define @t486 () (forall @t482 @t485)) % 36.03/36.23 (define @t487 () (@list @t475 @t474 @t473)) % 36.03/36.23 (define @t488 () (forall @t487 @t485)) % 36.03/36.23 (define @t489 () (forall @t487 @t484)) % 36.03/36.23 (define @t490 () (@var "BOUND_VARIABLE_8953" $$unsorted)) % 36.03/36.23 (define @t491 () (@var "BOUND_VARIABLE_8951" $$unsorted)) % 36.03/36.23 (define @t492 () (@var "BOUND_VARIABLE_8949" $$unsorted)) % 36.03/36.23 (define @t493 () (@list @t492 @t491 @t490)) % 36.03/36.23 (define @t494 () (or @t442 @t489)) % 36.03/36.23 (define @t495 () (tptp.app @t492 (tptp.cons @t1 @t491))) % 36.03/36.23 (define @t496 () (not (= @t2 (tptp.app @t495 (tptp.cons @t1 @t490))))) % 36.03/36.23 (define @t497 () (not (tptp.ssList @t490))) % 36.03/36.23 (define @t498 () (not (tptp.ssList @t491))) % 36.03/36.23 (define @t499 () (not (tptp.ssList @t492))) % 36.03/36.23 (define @t500 () (or @t499 @t498 @t497 @t496)) % 36.03/36.23 (define @t501 () (@list @t492 @t491 @t490)) % 36.03/36.23 (define @t502 () (or @t442 (forall @t501 @t500))) % 36.03/36.23 (define @t503 () (or @t442 @t500)) % 36.03/36.23 (define @t504 () (or @t442 @t499 @t498 @t497 @t496)) % 36.03/36.23 (define @t505 () (or @t442 @t276 @t499 @t498 @t497 @t496)) % 36.03/36.23 (define @t506 () (not (= @t2 (tptp.app @t495 (tptp.cons @t15 @t490))))) % 36.03/36.23 (define @t507 () (not @t53)) % 36.03/36.23 (define @t508 () (or @t64 @t507 @t64 @t499 @t498 @t497 @t506)) % 36.03/36.23 (define @t509 () (or @t507 @t64 @t499 @t498 @t497 @t506)) % 36.03/36.23 (define @t510 () (forall @t19 @t509)) % 36.03/36.23 (define @t511 () (forall @t501 @t510)) % 36.03/36.23 (define @t512 () (forall (@list @t492 @t491 @t490 @t15) @t509)) % 36.03/36.23 (define @t513 () (@list @t15 @t492 @t491 @t490)) % 36.03/36.23 (define @t514 () (or @t499 @t498 @t497 @t506)) % 36.03/36.23 (define @t515 () (or @t507 @t64 @t514)) % 36.03/36.23 (define @t516 () (forall @t513 @t515)) % 36.03/36.23 (define @t517 () (forall @t501 @t515)) % 36.03/36.23 (define @t518 () (forall @t501 @t514)) % 36.03/36.23 (define @t519 () (@var "BOUND_VARIABLE_8490" $$unsorted)) % 36.03/36.23 (define @t520 () (@var "BOUND_VARIABLE_8488" $$unsorted)) % 36.03/36.23 (define @t521 () (@list @t13 @t520 @t519)) % 36.03/36.23 (define @t522 () (or @t507 @t64 @t518)) % 36.03/36.23 (define @t523 () (not (= @t2 (tptp.app (tptp.app @t13 (tptp.cons @t1 @t520)) (tptp.cons @t15 @t519))))) % 36.03/36.23 (define @t524 () (not (tptp.ssList @t519))) % 36.03/36.23 (define @t525 () (not (tptp.ssList @t520))) % 36.03/36.23 (define @t526 () (or @t278 @t525 @t524 @t523)) % 36.03/36.23 (define @t527 () (@list @t13 @t520 @t519)) % 36.03/36.23 (define @t528 () (forall @t527 @t526)) % 36.03/36.23 (define @t529 () (or @t507 @t64 @t528)) % 36.03/36.23 (define @t530 () (or @t64 @t528)) % 36.03/36.23 (define @t531 () (or @t525 @t524 @t523)) % 36.03/36.23 (define @t532 () (or @t278 @t531)) % 36.03/36.23 (define @t533 () (forall @t527 @t532)) % 36.03/36.23 (define @t534 () (@list @t520 @t519)) % 36.03/36.23 (define @t535 () (forall @t534 @t532)) % 36.03/36.23 (define @t536 () (forall @t534 @t531)) % 36.03/36.23 (define @t537 () (@var "BOUND_VARIABLE_8466" $$unsorted)) % 36.03/36.23 (define @t538 () (or @t278 @t536)) % 36.03/36.23 (define @t539 () (not (= @t2 (tptp.app @t39 (tptp.cons @t15 @t537))))) % 36.03/36.23 (define @t540 () (not (tptp.ssList @t537))) % 36.03/36.23 (define @t541 () (not @t47)) % 36.03/36.23 (define @t542 () (or @t541 @t540 @t539)) % 36.03/36.23 (define @t543 () (@list @t38 @t537)) % 36.03/36.23 (define @t544 () (forall @t543 @t542)) % 36.03/36.23 (define @t545 () (or @t278 @t544)) % 36.03/36.23 (define @t546 () (forall @t17 @t545)) % 36.03/36.23 (define @t547 () (or @t64 @t546)) % 36.03/36.23 (define @t548 () (or @t64 @t545)) % 36.03/36.23 (define @t549 () (or @t278 @t64 @t544)) % 36.03/36.23 (define @t550 () (or @t64 @t544)) % 36.03/36.23 (define @t551 () (or @t540 @t539)) % 36.03/36.23 (define @t552 () (or @t541 @t551)) % 36.03/36.23 (define @t553 () (forall @t543 @t552)) % 36.03/36.23 (define @t554 () (@list @t537)) % 36.03/36.23 (define @t555 () (forall @t554 @t552)) % 36.03/36.23 (define @t556 () (forall @t554 @t551)) % 36.03/36.23 (define @t557 () (or @t541 @t556)) % 36.03/36.23 (define @t558 () (= @t2 @t40)) % 36.03/36.23 (define @t559 () (not @t558)) % 36.03/36.23 (define @t560 () (not @t43)) % 36.03/36.23 (define @t561 () (or @t560 @t559)) % 36.03/36.23 (define @t562 () (forall @t45 @t561)) % 36.03/36.23 (define @t563 () (or @t541 @t562)) % 36.03/36.23 (define @t564 () (forall @t49 @t563)) % 36.03/36.23 (define @t565 () (or @t64 @t564)) % 36.03/36.23 (define @t566 () (or @t64 @t563)) % 36.03/36.23 (define @t567 () (or @t541 @t64 @t562)) % 36.03/36.23 (define @t568 () (or @t64 @t562)) % 36.03/36.23 (define @t569 () (or @t64 @t561)) % 36.03/36.23 (define @t570 () (or @t560 @t559 @t64)) % 36.03/36.23 (define @t571 () (=> @t558 @t64)) % 36.03/36.23 (define @t572 () (forall @t482 (or @t442 @t480 @t479 @t478 (not (= tptp.nil @t476))))) % 36.03/36.23 (define @t573 () (= @t146 @t572)) % 36.03/36.23 (define @t574 () (or @t445 @t573)) % 36.03/36.23 (define @t575 () (not (= tptp.nil (tptp.app @t345 @t343)))) % 36.03/36.23 (define @t576 () (or @t365 @t360 @t445 @t445 @t575)) % 36.03/36.23 (define @t577 () (@list false false false false)) % 36.03/36.23 (define @t578 () (not @t417)) % 36.03/36.23 (define @t579 () (not @t410)) % 36.03/36.23 (define @t580 () (not @t388)) % 36.03/36.23 (define @t581 () (tptp.segmentP tptp.nil @t347)) % 36.03/36.23 (define @t582 () (not @t581)) % 36.03/36.23 (define @t583 () (or @t445 @t367 @t582 @t580 @t410)) % 36.03/36.23 (define @t584 () (@var "BOUND_VARIABLE_9118" $$unsorted)) % 36.03/36.23 (define @t585 () (= (tptp.neq @t2 @t584) (not (= @t2 @t584)))) % 36.03/36.23 (define @t586 () (not (tptp.ssList @t584))) % 36.03/36.23 (define @t587 () (or @t223 @t586 @t585)) % 36.03/36.23 (define @t588 () (or @t586 @t585)) % 36.03/36.23 (define @t589 () (or @t223 @t588)) % 36.03/36.23 (define @t590 () (@list @t2 @t584)) % 36.03/36.23 (define @t591 () (forall @t590 @t589)) % 36.03/36.23 (define @t592 () (@list @t584)) % 36.03/36.23 (define @t593 () (forall @t592 @t589)) % 36.03/36.23 (define @t594 () (forall @t592 @t588)) % 36.03/36.23 (define @t595 () (or @t223 @t594)) % 36.03/36.23 (define @t596 () (forall @t7 (or @t245 @t5))) % 36.03/36.23 (define @t597 () (not (= @t348 tptp.nil))) % 36.03/36.23 (define @t598 () (= @t350 @t597)) % 36.03/36.23 (define @t599 () (or @t356 @t445 @t598)) % 36.03/36.23 (define @t600 () (forall @t590 @t587)) % 36.03/36.23 (define @t601 () (= tptp.nil @t348)) % 36.03/36.23 (define @t602 () (not @t601)) % 36.03/36.23 (define @t603 () (= @t350 @t602)) % 36.03/36.23 (define @t604 () (or @t356 @t445 @t603)) % 36.03/36.23 (define @t605 () (= @t2 @t21)) % 36.03/36.23 (define @t606 () (= @t24 (not (forall @t7 (or @t442 (not @t605)))))) % 36.03/36.23 (define @t607 () (and @t6 @t605)) % 36.03/36.23 (define @t608 () (forall @t7 (not @t607))) % 36.03/36.23 (define @t609 () (not @t608)) % 36.03/36.23 (define @t610 () (not (= @t347 @t21))) % 36.03/36.23 (define @t611 () (or @t442 @t610)) % 36.03/36.23 (define @t612 () (forall @t7 @t611)) % 36.03/36.23 (define @t613 () (not @t612)) % 36.03/36.23 (define @t614 () (= @t351 @t613)) % 36.03/36.23 (define @t615 () (or @t367 @t614)) % 36.03/36.23 (define @t616 () (forall @t11 (or @t223 @t606))) % 36.03/36.23 (define @t617 () (forall @t7 (or @t442 (not (= @t21 @t347))))) % 36.03/36.23 (define @t618 () (not @t617)) % 36.03/36.23 (define @t619 () (= @t351 @t618)) % 36.03/36.23 (define @t620 () (or @t367 @t619)) % 36.03/36.23 (define @t621 () (@quantifiers_skolemize @t617 0)) % 36.03/36.23 (define @t622 () (tptp.ssItem @t621)) % 36.03/36.23 (define @t623 () (tptp.cons @t621 tptp.nil)) % 36.03/36.23 (define @t624 () (= @t347 @t623)) % 36.03/36.23 (define @t625 () (not @t624)) % 36.03/36.23 (define @t626 () (not @t622)) % 36.03/36.23 (define @t627 () (or @t626 @t625)) % 36.03/36.23 (define @t628 () (@var "BOUND_VARIABLE_9333" $$unsorted)) % 36.03/36.23 (define @t629 () (= @t628 (tptp.hd (tptp.cons @t628 @t2)))) % 36.03/36.23 (define @t630 () (not (tptp.ssItem @t628))) % 36.03/36.23 (define @t631 () (or @t630 @t629)) % 36.03/36.23 (define @t632 () (or @t223 @t631)) % 36.03/36.23 (define @t633 () (forall (@list @t2 @t628) @t632)) % 36.03/36.23 (define @t634 () (@list @t628)) % 36.03/36.23 (define @t635 () (forall @t634 @t632)) % 36.03/36.23 (define @t636 () (forall @t634 @t631)) % 36.03/36.23 (define @t637 () (or @t223 @t636)) % 36.03/36.23 (define @t638 () (= @t1 @t98)) % 36.03/36.23 (define @t639 () (forall @t7 (or @t442 @t638))) % 36.03/36.23 (define @t640 () (= @t621 (tptp.hd @t623))) % 36.03/36.23 (define @t641 () (or @t445 @t626 @t640)) % 36.03/36.23 (define @t642 () (@var "BOUND_VARIABLE_8548" $$unsorted)) % 36.03/36.23 (define @t643 () (@var "BOUND_VARIABLE_8542" $$unsorted)) % 36.03/36.23 (define @t644 () (@var "BOUND_VARIABLE_8546" $$unsorted)) % 36.03/36.23 (define @t645 () (@var "BOUND_VARIABLE_8544" $$unsorted)) % 36.03/36.23 (define @t646 () (tptp.app (tptp.app @t645 (tptp.cons @t1 @t644)) (tptp.cons @t643 @t642))) % 36.03/36.23 (define @t647 () (not (= @t2 @t646))) % 36.03/36.23 (define @t648 () (not (tptp.ssList @t642))) % 36.03/36.23 (define @t649 () (not (tptp.ssList @t644))) % 36.03/36.23 (define @t650 () (not (tptp.ssList @t645))) % 36.03/36.23 (define @t651 () (not (tptp.leq @t643 @t1))) % 36.03/36.23 (define @t652 () (not (tptp.leq @t1 @t643))) % 36.03/36.23 (define @t653 () (not (tptp.ssItem @t643))) % 36.03/36.23 (define @t654 () (or @t442 @t653 @t652 @t651 @t650 @t649 @t648 @t647)) % 36.03/36.23 (define @t655 () (@list @t1 @t643 @t645 @t644 @t642)) % 36.03/36.23 (define @t656 () (= @t58 (forall @t655 @t654))) % 36.03/36.23 (define @t657 () (or @t653 @t652 @t651 @t650 @t649 @t648 @t647)) % 36.03/36.23 (define @t658 () (or @t442 @t657)) % 36.03/36.23 (define @t659 () (forall @t655 @t658)) % 36.03/36.23 (define @t660 () (@list @t643 @t645 @t644 @t642)) % 36.03/36.23 (define @t661 () (forall @t660 @t658)) % 36.03/36.23 (define @t662 () (forall @t660 @t657)) % 36.03/36.23 (define @t663 () (@var "BOUND_VARIABLE_8518" $$unsorted)) % 36.03/36.23 (define @t664 () (@var "BOUND_VARIABLE_8516" $$unsorted)) % 36.03/36.23 (define @t665 () (@var "BOUND_VARIABLE_8514" $$unsorted)) % 36.03/36.23 (define @t666 () (or @t442 @t662)) % 36.03/36.23 (define @t667 () (not (= @t2 (tptp.app (tptp.app @t665 (tptp.cons @t1 @t664)) (tptp.cons @t15 @t663))))) % 36.03/36.23 (define @t668 () (not (tptp.ssList @t663))) % 36.03/36.23 (define @t669 () (not (tptp.ssList @t664))) % 36.03/36.23 (define @t670 () (not (tptp.ssList @t665))) % 36.03/36.23 (define @t671 () (not @t34)) % 36.03/36.23 (define @t672 () (not @t35)) % 36.03/36.23 (define @t673 () (or @t507 @t672 @t671 @t670 @t669 @t668 @t667)) % 36.03/36.23 (define @t674 () (@list @t15 @t665 @t664 @t663)) % 36.03/36.23 (define @t675 () (forall @t674 @t673)) % 36.03/36.23 (define @t676 () (or @t670 @t669 @t668 @t667)) % 36.03/36.23 (define @t677 () (or @t507 @t672 @t671 @t676)) % 36.03/36.23 (define @t678 () (forall @t674 @t677)) % 36.03/36.23 (define @t679 () (@list @t665 @t664 @t663)) % 36.03/36.23 (define @t680 () (forall @t679 @t677)) % 36.03/36.23 (define @t681 () (forall @t679 @t676)) % 36.03/36.23 (define @t682 () (or @t507 @t672 @t671 @t681)) % 36.03/36.23 (define @t683 () (or @t507 @t672 @t671 @t528)) % 36.03/36.23 (define @t684 () (or @t672 @t671 @t528)) % 36.03/36.23 (define @t685 () (or @t672 @t671 @t546)) % 36.03/36.23 (define @t686 () (or @t672 @t671 @t545)) % 36.03/36.23 (define @t687 () (or @t278 @t672 @t671 @t544)) % 36.03/36.23 (define @t688 () (or @t672 @t671 @t544)) % 36.03/36.23 (define @t689 () (or @t672 @t671 @t564)) % 36.03/36.23 (define @t690 () (or @t672 @t671 @t563)) % 36.03/36.23 (define @t691 () (or @t541 @t672 @t671 @t562)) % 36.03/36.23 (define @t692 () (or @t672 @t671 @t562)) % 36.03/36.23 (define @t693 () (or @t672 @t671 @t561)) % 36.03/36.23 (define @t694 () (or @t560 @t559 @t672 @t671)) % 36.03/36.23 (define @t695 () (or @t559 @t672 @t671)) % 36.03/36.23 (define @t696 () (=> @t558 @t36)) % 36.03/36.23 (define @t697 () (not (= @t347 @t646))) % 36.03/36.23 (define @t698 () (or @t442 @t653 @t652 @t651 @t650 @t649 @t648 @t697)) % 36.03/36.23 (define @t699 () (forall @t655 @t698)) % 36.03/36.23 (define @t700 () (tptp.cyclefreeP @t347)) % 36.03/36.23 (define @t701 () (= @t700 @t699)) % 36.03/36.23 (define @t702 () (or @t367 @t701)) % 36.03/36.23 (define @t703 () (forall @t11 (or @t223 @t656))) % 36.03/36.23 (define @t704 () (forall @t655 (or @t442 @t653 @t652 @t651 @t650 @t649 @t648 (not (= @t646 @t347))))) % 36.03/36.23 (define @t705 () (= @t700 @t704)) % 36.03/36.23 (define @t706 () (or @t367 @t705)) % 36.03/36.23 (define @t707 () (= @t2 @t116)) % 36.03/36.23 (define @t708 () (tptp.app tptp.nil @t339)) % 36.03/36.23 (define @t709 () (= @t339 @t708)) % 36.03/36.23 (define @t710 () (or @t358 @t709)) % 36.03/36.23 (define @t711 () (tptp.cons @t342 @t708)) % 36.03/36.23 (define @t712 () (@var "BOUND_VARIABLE_9420" $$unsorted)) % 36.03/36.23 (define @t713 () (@var "BOUND_VARIABLE_9422" $$unsorted)) % 36.03/36.23 (define @t714 () (= (tptp.cons @t713 (tptp.app @t712 @t2)) (tptp.app (tptp.cons @t713 @t712) @t2))) % 36.03/36.23 (define @t715 () (not (tptp.ssItem @t713))) % 36.03/36.23 (define @t716 () (not (tptp.ssList @t712))) % 36.03/36.23 (define @t717 () (or @t716 @t715 @t714)) % 36.03/36.23 (define @t718 () (or @t223 @t717)) % 36.03/36.23 (define @t719 () (forall (@list @t2 @t712 @t713) @t718)) % 36.03/36.23 (define @t720 () (@list @t712 @t713)) % 36.03/36.23 (define @t721 () (forall @t720 @t718)) % 36.03/36.23 (define @t722 () (forall @t720 @t717)) % 36.03/36.23 (define @t723 () (@var "BOUND_VARIABLE_9402" $$unsorted)) % 36.03/36.23 (define @t724 () (or @t223 @t722)) % 36.03/36.23 (define @t725 () (= (tptp.cons @t723 @t109) (tptp.app (tptp.cons @t723 @t1) @t2))) % 36.03/36.23 (define @t726 () (not (tptp.ssItem @t723))) % 36.03/36.23 (define @t727 () (or @t245 @t726 @t725)) % 36.03/36.23 (define @t728 () (@list @t1 @t723)) % 36.03/36.23 (define @t729 () (forall @t728 @t727)) % 36.03/36.23 (define @t730 () (or @t726 @t725)) % 36.03/36.23 (define @t731 () (or @t245 @t730)) % 36.03/36.23 (define @t732 () (forall @t728 @t731)) % 36.03/36.23 (define @t733 () (@list @t723)) % 36.03/36.23 (define @t734 () (forall @t733 @t731)) % 36.03/36.23 (define @t735 () (forall @t733 @t730)) % 36.03/36.23 (define @t736 () (@list @t15)) % 36.03/36.23 (define @t737 () (or @t245 @t735)) % 36.03/36.23 (define @t738 () (forall @t19 (or @t507 @t110))) % 36.03/36.23 (define @t739 () (= @t711 (tptp.app @t343 @t339))) % 36.03/36.23 (define @t740 () (or @t358 @t445 @t365 @t739)) % 36.03/36.23 (define @t741 () (tptp.app @t341 @t339)) % 36.03/36.23 (define @t742 () (tptp.app @t345 @t741)) % 36.03/36.23 (define @t743 () (@var "BOUND_VARIABLE_10583" $$unsorted)) % 36.03/36.23 (define @t744 () (@var "BOUND_VARIABLE_10581" $$unsorted)) % 36.03/36.23 (define @t745 () (= (tptp.app (tptp.app @t2 @t744) @t743) (tptp.app @t2 (tptp.app @t744 @t743)))) % 36.03/36.23 (define @t746 () (not (tptp.ssList @t743))) % 36.03/36.23 (define @t747 () (not (tptp.ssList @t744))) % 36.03/36.23 (define @t748 () (or @t747 @t746 @t745)) % 36.03/36.23 (define @t749 () (or @t223 @t748)) % 36.03/36.23 (define @t750 () (forall (@list @t2 @t744 @t743) @t749)) % 36.03/36.23 (define @t751 () (@list @t744 @t743)) % 36.03/36.23 (define @t752 () (forall @t751 @t749)) % 36.03/36.23 (define @t753 () (forall @t751 @t748)) % 36.03/36.23 (define @t754 () (@var "BOUND_VARIABLE_10563" $$unsorted)) % 36.03/36.23 (define @t755 () (or @t223 @t753)) % 36.03/36.23 (define @t756 () (= (tptp.app @t104 @t754) (tptp.app @t2 (tptp.app @t1 @t754)))) % 36.03/36.23 (define @t757 () (not (tptp.ssList @t754))) % 36.03/36.23 (define @t758 () (or @t245 @t757 @t756)) % 36.03/36.23 (define @t759 () (@list @t1 @t754)) % 36.03/36.23 (define @t760 () (forall @t759 @t758)) % 36.03/36.23 (define @t761 () (or @t757 @t756)) % 36.03/36.23 (define @t762 () (or @t245 @t761)) % 36.03/36.23 (define @t763 () (forall @t759 @t762)) % 36.03/36.23 (define @t764 () (@list @t754)) % 36.03/36.23 (define @t765 () (forall @t764 @t762)) % 36.03/36.23 (define @t766 () (forall @t764 @t761)) % 36.03/36.23 (define @t767 () (or @t245 @t766)) % 36.03/36.23 (define @t768 () (forall @t19 (or @t267 @t148))) % 36.03/36.23 (define @t769 () (= @t347 @t742)) % 36.03/36.23 (define @t770 () (or @t471 @t470 @t358 @t769)) % 36.03/36.23 (define @t771 () (tptp.leq @t342 @t342)) % 36.03/36.23 (define @t772 () (or @t365 @t771)) % 36.03/36.23 (define @t773 () (tptp.app @t345 (tptp.cons @t342 @t339))) % 36.03/36.23 (define @t774 () (= @t347 @t773)) % 36.03/36.23 (define @t775 () (not @t774)) % 36.03/36.23 (define @t776 () (not @t771)) % 36.03/36.23 (define @t777 () (or @t365 @t365 @t776 @t776 @t360 @t445 @t358 @t775)) % 36.03/36.23 (define @t778 () (not @t777)) % 36.03/36.23 (define @t779 () (not (= @t773 @t347))) % 36.03/36.23 (define @t780 () (or @t365 @t365 @t776 @t776 @t360 @t445 @t358 @t779)) % 36.03/36.23 (define @t781 () (not @t700)) % 36.03/36.23 (define @t782 () (tptp.hd @t347)) % 36.03/36.23 (define @t783 () (or @t223 @t391 @t93)) % 36.03/36.23 (define @t784 () (not @t391)) % 36.03/36.23 (define @t785 () (=> @t784 @t93)) % 36.03/36.23 (define @t786 () (tptp.ssItem @t782)) % 36.03/36.23 (define @t787 () (or @t367 (= @t347 tptp.nil) @t786)) % 36.03/36.23 (define @t788 () (forall @t11 @t783)) % 36.03/36.23 (define @t789 () (or @t367 @t410 @t786)) % 36.03/36.23 (define @t790 () (@list false true false)) % 36.03/36.23 (define @t791 () (tptp.cons @t782 tptp.nil)) % 36.03/36.23 (define @t792 () (tptp.cyclefreeP @t791)) % 36.03/36.23 (define @t793 () (not @t786)) % 36.03/36.23 (define @t794 () (or @t793 @t792)) % 36.03/36.23 (define @t795 () (not @t792)) % 36.03/36.23 (define @t796 () (not @t640)) % 36.03/36.23 (define @t797 () (= true false)) % 36.03/36.23 (define @t798 () (not @t627)) % 36.03/36.23 (define @t799 () (not (= @t623 @t347))) % 36.03/36.23 (define @t800 () (or @t626 @t799)) % 36.03/36.23 (define @t801 () (not @t800)) % 36.03/36.23 (define @t802 () (not @t350)) % 36.03/36.23 (define @t803 () (not @t603)) % 36.03/36.23 (define @t804 () (and @t582 @t601 @t349)) % 36.03/36.23 (assume @p1 @t12) % 36.03/36.23 (assume @p2 (exists @t11 (and @t9 (exists @t7 (and @t6 @t4))))) % 36.03/36.23 (assume @p3 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t15 @t14) @t2))))))))))) % 36.03/36.23 (assume @p4 @t27) % 36.03/36.23 (assume @p5 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= @t29 (exists @t19 (and @t18 (= @t28 @t2))))))))) % 36.03/36.23 (assume @p6 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= @t32 (exists @t19 (and @t18 (= @t31 @t2))))))))) % 36.03/36.23 (assume @p7 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= @t33 (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t31 @t13) @t2))))))))))) % 36.03/36.23 (assume @p8 @t61) % 36.03/36.23 (assume @p9 (forall @t11 (=> @t20 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 (or @t35 @t34)))))))))))))))) % 36.03/36.23 (assume @p10 (forall @t11 (=> @t20 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 (or @t62 (tptp.lt @t15 @t1))))))))))))))))) % 36.03/36.23 (assume @p11 (forall @t11 (=> @t20 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 @t35))))))))))))))) % 36.03/36.23 (assume @p12 (forall @t11 (=> @t20 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 @t62))))))))))))))) % 36.03/36.23 (assume @p13 @t79) % 36.03/36.23 (assume @p14 (forall @t11 (=> @t20 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (=> (= (tptp.app @t13 (tptp.cons @t1 (tptp.cons @t15 @t38))) @t2) @t63))))))))))))) % 36.03/36.23 (assume @p15 @t82) % 36.03/36.23 (assume @p16 @t87) % 36.03/36.23 (assume @p17 @t88) % 36.03/36.23 (assume @p18 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= @t83 @t2))))))) % 36.03/36.23 (assume @p19 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t53 (forall @t17 (=> (tptp.ssItem @t13) (=> (= (tptp.cons @t15 @t2) (tptp.cons @t13 @t1)) (and (= @t15 @t13) @t89))))))))))) % 36.03/36.23 (assume @p20 (forall @t11 (=> @t20 (or @t91 (exists @t7 (and @t30 (exists @t19 (and @t53 (= @t90 @t2))))))))) % 36.03/36.23 (assume @p21 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= tptp.nil @t83))))))) % 36.03/36.23 (assume @p22 @t97) % 36.03/36.23 (assume @p23 @t102) % 36.03/36.23 (assume @p24 (forall @t11 (=> @t20 (=> @t94 (tptp.ssList @t103))))) % 36.03/36.23 (assume @p25 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.tl @t83) @t2)))))) % 36.03/36.23 (assume @p26 @t108) % 36.03/36.23 (assume @p27 @t115) % 36.03/36.23 (assume @p28 @t118) % 36.03/36.23 (assume @p29 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t120 @t119) @t3)))))) % 36.03/36.23 (assume @p30 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t120 @t35) (tptp.leq @t2 @t15))))))))) % 36.03/36.23 (assume @p31 @t122) % 36.03/36.23 (assume @p32 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t123 @t119)))))) % 36.03/36.23 (assume @p33 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t125 (not @t124))))))) % 36.03/36.23 (assume @p34 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t125 @t62) @t126)))))))) % 36.03/36.23 (assume @p35 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t127 @t124)))))) % 36.03/36.23 (assume @p36 (forall @t11 (=> @t9 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (= (tptp.memberP @t28 @t2) (or (tptp.memberP @t1 @t2) @t128))))))))) % 36.03/36.23 (assume @p37 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t15) @t2) (or @t3 @t128))))))))) % 36.03/36.23 (assume @p38 (forall @t11 (=> @t9 (not (tptp.memberP tptp.nil @t2))))) % 36.03/36.23 (assume @p39 (not (tptp.singletonP tptp.nil))) % 36.03/36.23 (assume @p40 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (and @t29 (tptp.frontsegP @t1 @t15)) (tptp.frontsegP @t2 @t15))))))))) % 36.03/36.23 (assume @p41 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t29 (tptp.frontsegP @t1 @t2)) @t3)))))) % 36.03/36.23 (assume @p42 (forall @t11 (=> @t20 (tptp.frontsegP @t2 @t2)))) % 36.03/36.23 (assume @p43 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> @t29 (tptp.frontsegP (tptp.app @t2 @t15) @t1))))))))) % 36.03/36.23 (assume @p44 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (= (tptp.frontsegP (tptp.cons @t2 @t15) @t14) (and @t3 (tptp.frontsegP @t15 @t13)))))))))))) % 36.03/36.23 (assume @p45 (forall @t11 (=> @t20 (tptp.frontsegP @t2 tptp.nil)))) % 36.03/36.23 (assume @p46 (forall @t11 (=> @t20 (= (tptp.frontsegP tptp.nil @t2) @t91)))) % 36.03/36.23 (assume @p47 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (and @t32 (tptp.rearsegP @t1 @t15)) (tptp.rearsegP @t2 @t15))))))))) % 36.03/36.23 (assume @p48 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t32 (tptp.rearsegP @t1 @t2)) @t3)))))) % 36.03/36.23 (assume @p49 (forall @t11 (=> @t20 (tptp.rearsegP @t2 @t2)))) % 36.03/36.23 (assume @p50 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> @t32 (tptp.rearsegP @t129 @t1))))))))) % 36.03/36.23 (assume @p51 (forall @t11 (=> @t20 (tptp.rearsegP @t2 tptp.nil)))) % 36.03/36.23 (assume @p52 (forall @t11 (=> @t20 (= (tptp.rearsegP tptp.nil @t2) @t91)))) % 36.03/36.23 (assume @p53 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (and @t33 @t130) (tptp.segmentP @t2 @t15))))))))) % 36.03/36.23 (assume @p54 @t136) % 36.03/36.23 (assume @p55 (forall @t11 (=> @t20 (tptp.segmentP @t2 @t2)))) % 36.03/36.23 (assume @p56 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (=> @t33 (tptp.segmentP (tptp.app @t129 @t13) @t1))))))))))) % 36.03/36.23 (assume @p57 @t138) % 36.03/36.23 (assume @p58 (forall @t11 (=> @t20 (= (tptp.segmentP tptp.nil @t2) @t91)))) % 36.03/36.23 (assume @p59 @t141) % 36.03/36.23 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 36.03/36.23 (assume @p61 (forall @t11 (=> @t9 (tptp.totalorderP @t139)))) % 36.03/36.23 (assume @p62 (tptp.totalorderP tptp.nil)) % 36.03/36.23 (assume @p63 (forall @t11 (=> @t9 (tptp.strictorderP @t139)))) % 36.03/36.23 (assume @p64 (tptp.strictorderP tptp.nil)) % 36.03/36.23 (assume @p65 (forall @t11 (=> @t9 (tptp.totalorderedP @t139)))) % 36.03/36.23 (assume @p66 (tptp.totalorderedP tptp.nil)) % 36.03/36.23 (assume @p67 (forall @t11 (=> @t9 (forall @t7 (=> @t30 (= (tptp.totalorderedP @t145) (or @t143 (and @t144 (tptp.totalorderedP @t1) (tptp.leq @t2 @t142))))))))) % 36.03/36.23 (assume @p68 (forall @t11 (=> @t9 (tptp.strictorderedP @t139)))) % 36.03/36.23 (assume @p69 (tptp.strictorderedP tptp.nil)) % 36.03/36.23 (assume @p70 (forall @t11 (=> @t9 (forall @t7 (=> @t30 (= (tptp.strictorderedP @t145) (or @t143 (and @t144 (tptp.strictorderedP @t1) (tptp.lt @t2 @t142))))))))) % 36.03/36.23 (assume @p71 (forall @t11 (=> @t9 (tptp.duplicatefreeP @t139)))) % 36.03/36.23 (assume @p72 @t146) % 36.03/36.23 (assume @p73 (forall @t11 (=> @t9 (tptp.equalelemsP @t139)))) % 36.03/36.23 (assume @p74 (tptp.equalelemsP tptp.nil)) % 36.03/36.23 (assume @p75 (forall @t11 (=> @t20 (=> @t94 (exists @t7 (and @t6 (= @t92 @t1))))))) % 36.03/36.23 (assume @p76 (forall @t11 (=> @t20 (=> @t94 (exists @t7 (and @t30 (= @t103 @t1))))))) % 36.03/36.23 (assume @p77 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t144 @t94 (= @t142 @t92) (= (tptp.tl @t1) @t103)) @t89)))))) % 36.03/36.23 (assume @p78 (forall @t11 (=> @t20 (=> @t94 (= (tptp.cons @t92 @t103) @t2))))) % 36.03/36.23 (assume @p79 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (= @t31 @t104) @t147)))))))) % 36.03/36.23 (assume @p80 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (= @t28 @t109) @t147)))))))) % 36.03/36.23 (assume @p81 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= @t83 (tptp.app @t21 @t2))))))) % 36.03/36.23 (assume @p82 @t153) % 36.03/36.23 (assume @p83 @t160) % 36.03/36.23 (assume @p84 (forall @t11 (=> @t20 (= (tptp.app @t2 tptp.nil) @t2)))) % 36.03/36.23 (assume @p85 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> @t94 (= (tptp.hd @t104) @t92))))))) % 36.03/36.23 (assume @p86 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> @t94 (= (tptp.tl @t104) (tptp.app @t103 @t1)))))))) % 36.03/36.23 (assume @p87 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t123 (tptp.geq @t1 @t2)) @t3)))))) % 36.03/36.23 (assume @p88 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t123 (tptp.geq @t1 @t15)) (tptp.geq @t2 @t15))))))))) % 36.03/36.23 (assume @p89 (forall @t11 (=> @t9 (tptp.geq @t2 @t2)))) % 36.03/36.23 (assume @p90 (forall @t11 (=> @t9 (not (tptp.lt @t2 @t2))))) % 36.03/36.23 (assume @p91 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t120 @t62) @t126)))))))) % 36.03/36.23 (assume @p92 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t120 (or @t3 @t125))))))) % 36.03/36.23 (assume @p93 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t125 (and @t4 @t120))))))) % 36.03/36.23 (assume @p94 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t127 (not (tptp.gt @t1 @t2)))))))) % 36.03/36.23 (assume @p95 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t127 (tptp.gt @t1 @t15)) (tptp.gt @t2 @t15))))))))) % 36.03/36.23 (assume @p96 @t198) % 36.03/36.23 (assume @p97 true) % 36.03/36.23 (step @p98 :rule aci_norm :args ((= (or @t214 @t213 @t212 @t211 @t210 @t209 false @t208 @t207 @t206) @t215))) % 36.03/36.23 (step @p99 :rule refl :args (@t206)) % 36.03/36.23 (step @p100 :rule refl :args (@t207)) % 36.03/36.23 (step @p101 :rule refl :args (@t208)) % 36.03/36.23 (step @p102 :rule evaluate :args ((not true))) % 36.03/36.23 (step @p103 :rule eq-refl :args (@t205)) % 36.03/36.23 (step @p104 :rule cong :premises (@p103) :args (@t216)) % 36.03/36.23 (step @p105 :rule trans :premises (@p104 @p102)) % 36.03/36.23 (step @p106 :rule refl :args (@t209)) % 36.03/36.23 (step @p107 :rule refl :args (@t210)) % 36.03/36.23 (step @p108 :rule refl :args (@t211)) % 36.03/36.23 (step @p109 :rule refl :args (@t212)) % 36.03/36.23 (step @p110 :rule refl :args (@t213)) % 36.03/36.23 (step @p111 :rule refl :args (@t214)) % 36.03/36.23 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108 @p107 @p106 @p105 @p101 @p100 @p99) :args (@t217)) % 36.03/36.23 (step @p113 :rule trans :premises (@p112 @p98)) % 36.03/36.23 (step @p114 :rule cong :premises (@p113) :args ((forall @t218 @t217))) % 36.03/36.23 (step @p115 :rule quant-var-elim-eq :args ((= (forall @t11 @t224) @t217))) % 36.03/36.23 (step @p116 :rule aci_norm :args ((= @t225 @t224))) % 36.03/36.23 (step @p117 :rule cong :premises (@p116) :args (@t226)) % 36.03/36.23 (step @p118 :rule trans :premises (@p117 @p115)) % 36.03/36.23 (step @p119 :rule cong :premises (@p118) :args (@t227)) % 36.03/36.23 (step @p120 :rule quant-merge-prenex :args ((= @t227 @t228))) % 36.03/36.23 (step @p121 :rule symm :premises (@p120)) % 36.03/36.23 (step @p122 :rule quant_var_reordering :args ((= (forall @t229 @t225) @t228))) % 36.03/36.23 (step @p123 :rule trans :premises (@p122 @p121 @p119)) % 36.03/36.23 (step @p124 :rule trans :premises (@p123 @p114)) % 36.03/36.23 (step @p125 :rule aci_norm :args ((= @t232 @t225))) % 36.03/36.23 (step @p126 :rule cong :premises (@p125) :args (@t233)) % 36.03/36.23 (step @p127 :rule trans :premises (@p126 @p124)) % 36.03/36.23 (step @p128 :rule quant-merge-prenex :args ((= (forall @t11 @t234) @t233))) % 36.03/36.23 (step @p129 :rule alpha_equiv :args (@t235 (@list @t199) @t236)) % 36.03/36.23 (step @p130 :rule alpha_equiv :args (@t237 (@list @t203 @t202 @t204 @t201) (@list @t38 @t240 @t239 @t238))) % 36.03/36.23 (step @p131 :rule refl :args (@t223)) % 36.03/36.23 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t241)) % 36.03/36.23 (step @p133 :rule quant-miniscope-or :args ((= @t234 @t241))) % 36.03/36.23 (step @p134 :rule trans :premises (@p133 @p132)) % 36.03/36.23 (step @p135 :rule symm :premises (@p134)) % 36.03/36.23 (step @p136 :rule cong :premises (@p135) :args ((forall @t11 @t257))) % 36.03/36.23 (step @p137 :rule trans :premises (@p136 @p128)) % 36.03/36.23 (step @p138 :rule trans :premises (@p137 @p127)) % 36.03/36.23 (step @p139 :rule aci_norm :args ((= (or @t223 @t258) @t257))) % 36.03/36.23 (step @p140 :rule bool-impl-elim :args (@t20 @t258)) % 36.03/36.23 (step @p141 :rule trans :premises (@p140 @p139)) % 36.03/36.23 (step @p142 :rule cong :premises (@p141) :args ((forall @t11 (=> @t20 @t258)))) % 36.03/36.23 (step @p143 :rule trans :premises (@p142 @p138)) % 36.03/36.23 (step @p144 :rule quant-miniscope-or :args ((= (forall @t7 @t259) @t258))) % 36.03/36.23 (step @p145 :rule aci_norm :args ((= @t260 @t259))) % 36.03/36.23 (step @p146 :rule cong :premises (@p145) :args ((forall @t7 @t260))) % 36.03/36.23 (step @p147 :rule trans :premises (@p146 @p144)) % 36.03/36.23 (step 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36.03/36.23 (step @p335 :rule nary_cong :premises (@p334 @p333) :args ((or @t368 (not @t354)))) % 36.03/36.23 (step @p336 :rule cnf_or_neg :args (@t368 7)) % 36.03/36.23 (step @p337 :rule eq_resolve :premises (@p336 @p335)) % 36.03/36.23 (step @p338 :rule reordering :premises (@p337) :args ((or @t349 @t368))) % 36.03/36.23 (step @p339 :rule chain_m_resolution :premises (@p338 @p332) :args (@t349 @t369 @t370)) % 36.03/36.23 (step @p340 :rule aci_norm :args ((= @t377 (or @t223 @t375 @t374 @t373 @t372)))) % 36.03/36.23 (step @p341 :rule cong :premises (@p340) :args (@t378)) % 36.03/36.23 (step @p342 :rule quant-merge-prenex :args ((= (forall @t11 @t380) @t378))) % 36.03/36.23 (step @p343 :rule alpha_equiv :args (@t381 (@list @t371) @t236)) % 36.03/36.23 (step @p344 :rule nary_cong :premises (@p131 @p343) :args (@t382)) % 36.03/36.23 (step @p345 :rule quant-miniscope-or :args ((= @t380 @t382))) % 36.03/36.23 (step @p346 :rule trans :premises (@p345 @p344)) % 36.03/36.23 (step @p347 :rule 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36.03/36.23 (step @p750 :rule quant-miniscope-or :args ((= @t593 @t595))) % 36.03/36.23 (step @p751 :rule trans :premises (@p750 @p749)) % 36.03/36.23 (step @p752 :rule symm :premises (@p751)) % 36.03/36.23 (step @p753 :rule cong :premises (@p752) :args ((forall @t11 (or @t223 @t596)))) % 36.03/36.23 (step @p754 :rule trans :premises (@p753 @p747)) % 36.03/36.23 (step @p755 :rule trans :premises (@p754 @p746)) % 36.03/36.23 (step @p756 :rule bool-impl-elim :args (@t20 @t596)) % 36.03/36.23 (step @p757 :rule cong :premises (@p756) :args ((forall @t11 (=> @t20 @t596)))) % 36.03/36.23 (step @p758 :rule trans :premises (@p757 @p755)) % 36.03/36.23 (step @p759 :rule bool-impl-elim :args (@t30 @t5)) % 36.03/36.23 (step @p760 :rule cong :premises (@p759) :args (@t80)) % 36.03/36.23 (step @p761 :rule cong :premises (@p326 @p760) :args (@t81)) % 36.03/36.23 (step @p762 :rule cong :premises (@p761) :args (@t82)) % 36.03/36.23 (step @p763 :rule trans :premises (@p762 @p758)) % 36.03/36.23 (step 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:premises (@p1218 @p1217)) % 36.03/36.24 (step @p1220 :rule reordering :premises (@p1219) :args ((or @t351 @t353 @t802))) % 36.03/36.24 (step @p1221 :rule chain_m_resolution :premises (@p1220 @p1213 @p791) :args (@t802 (@list true true) (@list @t351 @t353))) % 36.03/36.24 (step @p1222 :rule bool-double-not-elim :args (@t601)) % 36.03/36.24 (step @p1223 :rule refl :args (@t803)) % 36.03/36.24 (step @p1224 :rule nary_cong :premises (@p1223 @p767 @p1222) :args ((or @t803 @t350 (not @t602)))) % 36.03/36.24 (step @p1225 :rule cnf_equiv_pos2 :args (@t603)) % 36.03/36.24 (step @p1226 :rule eq_resolve :premises (@p1225 @p1224)) % 36.03/36.24 (step @p1227 :rule reordering :premises (@p1226) :args ((or @t350 @t601 @t803))) % 36.03/36.24 (step @p1228 :rule chain_m_resolution :premises (@p1227 @p1221 @p789) :args (@t601 @t465 (@list @t350 @t603))) % 36.03/36.24 (step @p1229 :rule bool-double-not-elim :args (@t581)) % 36.03/36.24 (step @p1230 :rule refl :args (@t602)) % 36.03/36.24 (step @p1231 :rule refl :args (@t354)) % 36.03/36.24 (step @p1232 :rule nary_cong :premises (@p1231 @p1230 @p1229) :args ((or @t354 @t602 (not @t582)))) % 36.03/36.24 (assume-push @p1284 @t582) % 36.03/36.24 (assume-push @p1285 @t601) % 36.03/36.24 (assume-push @p1286 @t349) % 36.03/36.24 (step @p1172 :rule evaluate :args (@t797)) % 36.03/36.24 (step @p1236 :rule false_intro :premises (@p744)) % 36.03/36.24 (step @p1237 :rule refl :args (@t347)) % 36.03/36.24 (step @p1238 :rule symm :premises (@p1285)) % 36.03/36.24 (step @p1239 :rule cong :premises (@p1238 @p1237) :args (@t349)) % 36.03/36.24 (step @p1240 :rule true_intro :premises (@p339)) % 36.03/36.24 (step @p1241 :rule symm :premises (@p1240)) % 36.03/36.24 (step @p1242 :rule trans :premises (@p1241 @p1239 @p1236)) % 36.03/36.24 (step @p1243 false :rule eq_resolve :premises (@p1242 @p1172)) % 36.03/36.24 (step-pop @p1287 :rule scope :premises (@p1243)) % 36.03/36.24 (step-pop @p1288 :rule scope :premises (@p1287)) % 36.03/36.24 (step-pop @p1289 :rule scope :premises (@p1288)) % 36.03/36.24 (step @p1244 :rule process_scope :premises (@p1289) :args (false)) % 36.03/36.24 (assume-push @p1290 @t349) % 36.03/36.24 (assume-push @p1291 @t601) % 36.03/36.24 (assume-push @p1292 @t582) % 36.03/36.24 (step @p1251 :rule and_intro :premises (@p744 @p1291 @p339)) % 36.03/36.24 (step-pop @p1293 :rule scope :premises (@p1251)) % 36.03/36.24 (step-pop @p1294 :rule scope :premises (@p1293)) % 36.03/36.24 (step-pop @p1295 :rule scope :premises (@p1294)) % 36.03/36.24 (step @p1252 :rule process_scope :premises (@p1295) :args (@t804)) % 36.03/36.24 (step @p1256 :rule implies_elim :premises (@p1252)) % 36.03/36.24 (step @p1257 :rule resolution :premises (@p1256 @p1244) :args (true @t804)) % 36.03/36.24 (step @p1258 :rule not_and :premises (@p1257)) % 36.03/36.24 (step @p1259 :rule eq_resolve :premises (@p1258 @p1232)) % 36.03/36.24 (step @p1260 :rule reordering :premises (@p1259) :args ((or @t354 @t581 @t602))) % 36.03/36.24 (step @p1261 false :rule chain_m_resolution :premises (@p1260 @p1228 @p744 @p339) :args (false @t790 (@list @t601 @t581 @t349))) % 36.03/36.24 ) % 36.03/36.24 % SZS output end Proof % 36.03/36.24 % cvc5 exiting %------------------------------------------------------------------------------