%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC188+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 : n023.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 08:58:23 AM UTC 2026 % Result : Theorem 36.42s 36.66s % Output : Proof 36.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC188+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 % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:23:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 36.42/36.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 36.42/36.66 --- Run --no-e-matching --full-saturate-quant at 6... % 36.42/36.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 36.42/36.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 36.42/36.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.42/36.66 % SZS status Theorem % 36.42/36.66 % SZS output start Proof % 36.42/36.66 ( % 36.42/36.66 (declare-sort $$unsorted 0) % 36.42/36.66 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 36.42/36.66 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 36.42/36.66 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 36.42/36.66 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 36.42/36.66 (declare-const tptp.nil $$unsorted) % 36.42/36.66 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.ssList (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 36.42/36.66 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 36.42/36.66 (define @t1 () (@var "V" $$unsorted)) % 36.42/36.66 (define @t2 () (@var "U" $$unsorted)) % 36.42/36.66 (define @t3 () (= @t2 @t1)) % 36.42/36.66 (define @t4 () (not @t3)) % 36.42/36.66 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 36.42/36.66 (define @t6 () (tptp.ssItem @t1)) % 36.42/36.66 (define @t7 () (@list @t1)) % 36.42/36.66 (define @t8 () (tptp.ssItem @t2)) % 36.42/36.66 (define @t9 () (@list @t2)) % 36.42/36.66 (define @t10 () (@var "X" $$unsorted)) % 36.42/36.66 (define @t11 () (tptp.cons @t1 @t10)) % 36.42/36.66 (define @t12 () (@var "W" $$unsorted)) % 36.42/36.66 (define @t13 () (tptp.ssList @t10)) % 36.42/36.66 (define @t14 () (@list @t10)) % 36.42/36.66 (define @t15 () (tptp.ssList @t12)) % 36.42/36.66 (define @t16 () (@list @t12)) % 36.42/36.66 (define @t17 () (tptp.ssList @t2)) % 36.42/36.66 (define @t18 () (tptp.cons @t1 tptp.nil)) % 36.42/36.66 (define @t19 () (tptp.app @t1 @t12)) % 36.42/36.66 (define @t20 () (tptp.frontsegP @t2 @t1)) % 36.42/36.66 (define @t21 () (tptp.ssList @t1)) % 36.42/36.66 (define @t22 () (tptp.app @t12 @t1)) % 36.42/36.66 (define @t23 () (tptp.rearsegP @t2 @t1)) % 36.42/36.66 (define @t24 () (tptp.segmentP @t2 @t1)) % 36.42/36.66 (define @t25 () (tptp.leq @t12 @t1)) % 36.42/36.66 (define @t26 () (tptp.leq @t1 @t12)) % 36.42/36.66 (define @t27 () (@var "Z" $$unsorted)) % 36.42/36.66 (define @t28 () (@var "Y" $$unsorted)) % 36.42/36.66 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 36.42/36.66 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 36.42/36.66 (define @t31 () (= @t30 @t2)) % 36.42/36.66 (define @t32 () (tptp.ssList @t27)) % 36.42/36.66 (define @t33 () (@list @t27)) % 36.42/36.66 (define @t34 () (tptp.ssList @t28)) % 36.42/36.66 (define @t35 () (@list @t28)) % 36.42/36.66 (define @t36 () (tptp.ssItem @t12)) % 36.42/36.66 (define @t37 () (tptp.lt @t1 @t12)) % 36.42/36.66 (define @t38 () (= @t1 @t12)) % 36.42/36.66 (define @t39 () (not @t38)) % 36.42/36.66 (define @t40 () (=> @t31 @t39)) % 36.42/36.66 (define @t41 () (=> @t32 @t40)) % 36.42/36.66 (define @t42 () (forall @t33 @t41)) % 36.42/36.66 (define @t43 () (=> @t34 @t42)) % 36.42/36.66 (define @t44 () (forall @t35 @t43)) % 36.42/36.66 (define @t45 () (=> @t13 @t44)) % 36.42/36.66 (define @t46 () (forall @t14 @t45)) % 36.42/36.66 (define @t47 () (=> @t36 @t46)) % 36.42/36.66 (define @t48 () (forall @t16 @t47)) % 36.42/36.66 (define @t49 () (=> @t6 @t48)) % 36.42/36.66 (define @t50 () (forall @t7 @t49)) % 36.42/36.66 (define @t51 () (tptp.duplicatefreeP @t2)) % 36.42/36.66 (define @t52 () (= @t51 @t50)) % 36.42/36.66 (define @t53 () (=> @t17 @t52)) % 36.42/36.66 (define @t54 () (forall @t9 @t53)) % 36.42/36.66 (define @t55 () (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28)))) % 36.42/36.66 (define @t56 () (=> (= @t55 @t2) @t38)) % 36.42/36.66 (define @t57 () (=> @t34 @t56)) % 36.42/36.66 (define @t58 () (forall @t35 @t57)) % 36.42/36.66 (define @t59 () (=> @t13 @t58)) % 36.42/36.66 (define @t60 () (forall @t14 @t59)) % 36.42/36.66 (define @t61 () (=> @t36 @t60)) % 36.42/36.66 (define @t62 () (forall @t16 @t61)) % 36.42/36.66 (define @t63 () (=> @t6 @t62)) % 36.42/36.66 (define @t64 () (forall @t7 @t63)) % 36.42/36.66 (define @t65 () (tptp.equalelemsP @t2)) % 36.42/36.66 (define @t66 () (= @t65 @t64)) % 36.42/36.66 (define @t67 () (=> @t17 @t66)) % 36.42/36.66 (define @t68 () (forall @t9 @t67)) % 36.42/36.66 (define @t69 () (tptp.cons @t1 @t2)) % 36.42/36.66 (define @t70 () (tptp.ssList @t69)) % 36.42/36.66 (define @t71 () (forall @t7 (=> @t6 @t70))) % 36.42/36.66 (define @t72 () (=> @t17 @t71)) % 36.42/36.66 (define @t73 () (forall @t9 @t72)) % 36.42/36.66 (define @t74 () (tptp.ssList tptp.nil)) % 36.42/36.66 (define @t75 () (not (= @t69 @t2))) % 36.42/36.66 (define @t76 () (=> @t6 @t75)) % 36.42/36.66 (define @t77 () (forall @t7 @t76)) % 36.42/36.66 (define @t78 () (=> @t17 @t77)) % 36.42/36.66 (define @t79 () (forall @t9 @t78)) % 36.42/36.66 (define @t80 () (= @t1 @t2)) % 36.42/36.66 (define @t81 () (tptp.cons @t12 @t1)) % 36.42/36.66 (define @t82 () (and @t36 (= @t81 @t2))) % 36.42/36.66 (define @t83 () (exists @t16 @t82)) % 36.42/36.66 (define @t84 () (and @t21 @t83)) % 36.42/36.66 (define @t85 () (exists @t7 @t84)) % 36.42/36.66 (define @t86 () (= tptp.nil @t2)) % 36.42/36.66 (define @t87 () (or @t86 @t85)) % 36.42/36.66 (define @t88 () (=> @t17 @t87)) % 36.42/36.66 (define @t89 () (forall @t9 @t88)) % 36.42/36.66 (define @t90 () (tptp.hd @t2)) % 36.42/36.66 (define @t91 () (not @t86)) % 36.42/36.66 (define @t92 () (tptp.hd @t69)) % 36.42/36.66 (define @t93 () (=> @t6 (= @t92 @t1))) % 36.42/36.66 (define @t94 () (forall @t7 @t93)) % 36.42/36.66 (define @t95 () (=> @t17 @t94)) % 36.42/36.66 (define @t96 () (forall @t9 @t95)) % 36.42/36.66 (define @t97 () (tptp.tl @t2)) % 36.42/36.66 (define @t98 () (tptp.tl @t69)) % 36.42/36.66 (define @t99 () (=> @t6 (= @t98 @t2))) % 36.42/36.66 (define @t100 () (forall @t7 @t99)) % 36.42/36.66 (define @t101 () (=> @t17 @t100)) % 36.42/36.66 (define @t102 () (forall @t9 @t101)) % 36.42/36.66 (define @t103 () (tptp.app @t2 @t1)) % 36.42/36.66 (define @t104 () (tptp.ssList @t103)) % 36.42/36.66 (define @t105 () (forall @t7 (=> @t21 @t104))) % 36.42/36.66 (define @t106 () (=> @t17 @t105)) % 36.42/36.66 (define @t107 () (forall @t9 @t106)) % 36.42/36.66 (define @t108 () (tptp.app @t1 @t2)) % 36.42/36.66 (define @t109 () (tptp.app tptp.nil @t2)) % 36.42/36.66 (define @t110 () (=> @t17 (= @t109 @t2))) % 36.42/36.66 (define @t111 () (forall @t9 @t110)) % 36.42/36.66 (define @t112 () (tptp.leq @t1 @t2)) % 36.42/36.66 (define @t113 () (tptp.leq @t2 @t1)) % 36.42/36.66 (define @t114 () (tptp.geq @t2 @t1)) % 36.42/36.66 (define @t115 () (tptp.lt @t1 @t2)) % 36.42/36.66 (define @t116 () (tptp.lt @t2 @t1)) % 36.42/36.66 (define @t117 () (tptp.lt @t2 @t12)) % 36.42/36.66 (define @t118 () (tptp.gt @t2 @t1)) % 36.42/36.66 (define @t119 () (tptp.memberP @t12 @t2)) % 36.42/36.66 (define @t120 () (tptp.memberP @t1 @t2)) % 36.42/36.66 (define @t121 () (= (tptp.memberP @t19 @t2) (or @t120 @t119))) % 36.42/36.66 (define @t122 () (forall @t16 (=> @t15 @t121))) % 36.42/36.66 (define @t123 () (=> @t21 @t122)) % 36.42/36.66 (define @t124 () (forall @t7 @t123)) % 36.42/36.66 (define @t125 () (=> @t8 @t124)) % 36.42/36.66 (define @t126 () (forall @t9 @t125)) % 36.42/36.66 (define @t127 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t119))) % 36.42/36.66 (define @t128 () (forall @t16 (=> @t15 @t127))) % 36.42/36.66 (define @t129 () (=> @t6 @t128)) % 36.42/36.66 (define @t130 () (forall @t7 @t129)) % 36.42/36.66 (define @t131 () (=> @t8 @t130)) % 36.42/36.66 (define @t132 () (forall @t9 @t131)) % 36.42/36.66 (define @t133 () (not (tptp.memberP tptp.nil @t2))) % 36.42/36.66 (define @t134 () (forall @t9 (=> @t8 @t133))) % 36.42/36.66 (define @t135 () (tptp.app @t12 @t2)) % 36.42/36.66 (define @t136 () (tptp.cons @t2 tptp.nil)) % 36.42/36.66 (define @t137 () (tptp.hd @t1)) % 36.42/36.66 (define @t138 () (= tptp.nil @t1)) % 36.42/36.66 (define @t139 () (not @t138)) % 36.42/36.66 (define @t140 () (tptp.cons @t2 @t1)) % 36.42/36.66 (define @t141 () (tptp.duplicatefreeP @t136)) % 36.42/36.66 (define @t142 () (forall @t9 (=> @t8 @t141))) % 36.42/36.66 (define @t143 () (tptp.equalelemsP @t136)) % 36.42/36.66 (define @t144 () (forall @t9 (=> @t8 @t143))) % 36.42/36.66 (define @t145 () (= @t12 @t2)) % 36.42/36.66 (define @t146 () (= @t22 @t103)) % 36.42/36.66 (define @t147 () (=> @t146 @t145)) % 36.42/36.66 (define @t148 () (=> @t15 @t147)) % 36.42/36.66 (define @t149 () (forall @t16 @t148)) % 36.42/36.66 (define @t150 () (=> @t21 @t149)) % 36.42/36.66 (define @t151 () (forall @t7 @t150)) % 36.42/36.66 (define @t152 () (=> @t17 @t151)) % 36.42/36.66 (define @t153 () (forall @t9 @t152)) % 36.42/36.66 (define @t154 () (= @t69 (tptp.app @t18 @t2))) % 36.42/36.66 (define @t155 () (forall @t7 (=> @t6 @t154))) % 36.42/36.66 (define @t156 () (=> @t17 @t155)) % 36.42/36.66 (define @t157 () (forall @t9 @t156)) % 36.42/36.66 (define @t158 () (= (tptp.app @t103 @t12) (tptp.app @t2 @t19))) % 36.42/36.66 (define @t159 () (forall @t16 (=> @t15 @t158))) % 36.42/36.66 (define @t160 () (=> @t21 @t159)) % 36.42/36.66 (define @t161 () (forall @t7 @t160)) % 36.42/36.66 (define @t162 () (=> @t17 @t161)) % 36.42/36.66 (define @t163 () (forall @t9 @t162)) % 36.42/36.66 (define @t164 () (and @t138 @t86)) % 36.42/36.66 (define @t165 () (= tptp.nil @t103)) % 36.42/36.66 (define @t166 () (= @t165 @t164)) % 36.42/36.66 (define @t167 () (=> @t21 @t166)) % 36.42/36.66 (define @t168 () (forall @t7 @t167)) % 36.42/36.66 (define @t169 () (=> @t17 @t168)) % 36.42/36.66 (define @t170 () (forall @t9 @t169)) % 36.42/36.66 (define @t171 () (tptp.app @t2 tptp.nil)) % 36.42/36.66 (define @t172 () (=> @t17 (= @t171 @t2))) % 36.42/36.66 (define @t173 () (forall @t9 @t172)) % 36.42/36.66 (define @t174 () (not (= tptp.nil @t12))) % 36.42/36.66 (define @t175 () (not (= tptp.nil @t10))) % 36.42/36.66 (define @t176 () (or @t175 @t174)) % 36.42/36.66 (define @t177 () (@var "X3" $$unsorted)) % 36.42/36.66 (define @t178 () (@var "X4" $$unsorted)) % 36.42/36.66 (define @t179 () (tptp.leq @t178 @t177)) % 36.42/36.66 (define @t180 () (tptp.memberP @t10 @t178)) % 36.42/36.66 (define @t181 () (= @t177 @t178)) % 36.42/36.66 (define @t182 () (not @t181)) % 36.42/36.66 (define @t183 () (tptp.ssItem @t178)) % 36.42/36.66 (define @t184 () (and @t183 @t182 @t180 @t179)) % 36.42/36.66 (define @t185 () (@list @t178)) % 36.42/36.66 (define @t186 () (exists @t185 @t184)) % 36.42/36.66 (define @t187 () (not (tptp.memberP @t10 @t177))) % 36.42/36.66 (define @t188 () (tptp.cons @t177 tptp.nil)) % 36.42/36.66 (define @t189 () (not (= @t188 @t12))) % 36.42/36.66 (define @t190 () (or @t189 @t187 @t186)) % 36.42/36.66 (define @t191 () (tptp.ssItem @t177)) % 36.42/36.66 (define @t192 () (=> @t191 @t190)) % 36.42/36.66 (define @t193 () (@list @t177)) % 36.42/36.66 (define @t194 () (forall @t193 @t192)) % 36.42/36.66 (define @t195 () (and @t194 @t176)) % 36.42/36.66 (define @t196 () (= @t28 @t27)) % 36.42/36.66 (define @t197 () (@var "X2" $$unsorted)) % 36.42/36.66 (define @t198 () (tptp.cons @t27 tptp.nil)) % 36.42/36.66 (define @t199 () (tptp.cons @t28 tptp.nil)) % 36.42/36.66 (define @t200 () (@var "X1" $$unsorted)) % 36.42/36.66 (define @t201 () (tptp.app (tptp.app @t200 @t199) @t198)) % 36.42/36.66 (define @t202 () (tptp.app @t201 @t197)) % 36.42/36.66 (define @t203 () (not (= @t202 @t2))) % 36.42/36.66 (define @t204 () (or @t203 @t196)) % 36.42/36.66 (define @t205 () (tptp.ssList @t197)) % 36.42/36.66 (define @t206 () (=> @t205 @t204)) % 36.42/36.66 (define @t207 () (@list @t197)) % 36.42/36.66 (define @t208 () (forall @t207 @t206)) % 36.42/36.66 (define @t209 () (tptp.ssList @t200)) % 36.42/36.66 (define @t210 () (=> @t209 @t208)) % 36.42/36.66 (define @t211 () (@list @t200)) % 36.42/36.66 (define @t212 () (forall @t211 @t210)) % 36.42/36.66 (define @t213 () (tptp.ssItem @t27)) % 36.42/36.66 (define @t214 () (=> @t213 @t212)) % 36.42/36.66 (define @t215 () (forall @t33 @t214)) % 36.42/36.66 (define @t216 () (tptp.ssItem @t28)) % 36.42/36.66 (define @t217 () (=> @t216 @t215)) % 36.42/36.66 (define @t218 () (forall @t35 @t217)) % 36.42/36.66 (define @t219 () (= @t2 @t12)) % 36.42/36.66 (define @t220 () (not @t219)) % 36.42/36.66 (define @t221 () (not (= @t1 @t10))) % 36.42/36.66 (define @t222 () (or @t221 @t220 @t218 @t195)) % 36.42/36.66 (define @t223 () (=> @t13 @t222)) % 36.42/36.66 (define @t224 () (forall @t14 @t223)) % 36.42/36.66 (define @t225 () (=> @t15 @t224)) % 36.42/36.66 (define @t226 () (forall @t16 @t225)) % 36.42/36.66 (define @t227 () (=> @t21 @t226)) % 36.42/36.66 (define @t228 () (forall @t7 @t227)) % 36.42/36.66 (define @t229 () (=> @t17 @t228)) % 36.42/36.66 (define @t230 () (forall @t9 @t229)) % 36.42/36.66 (define @t231 () (not @t230)) % 36.42/36.66 (define @t232 () (@var "BOUND_VARIABLE_9296" $$unsorted)) % 36.42/36.66 (define @t233 () (tptp.cons @t232 @t1)) % 36.42/36.66 (define @t234 () (not (= @t2 @t233))) % 36.42/36.66 (define @t235 () (not (tptp.ssItem @t232))) % 36.42/36.66 (define @t236 () (not @t21)) % 36.42/36.66 (define @t237 () (or @t236 @t235 @t234)) % 36.42/36.66 (define @t238 () (@list @t1 @t232)) % 36.42/36.66 (define @t239 () (not (forall @t238 @t237))) % 36.42/36.66 (define @t240 () (= @t2 tptp.nil)) % 36.42/36.66 (define @t241 () (not @t17)) % 36.42/36.66 (define @t242 () (or @t241 @t240 @t239)) % 36.42/36.66 (define @t243 () (or @t240 @t239)) % 36.42/36.66 (define @t244 () (or @t235 @t234)) % 36.42/36.66 (define @t245 () (or @t236 @t244)) % 36.42/36.66 (define @t246 () (forall @t238 @t245)) % 36.42/36.66 (define @t247 () (@list @t232)) % 36.42/36.66 (define @t248 () (forall @t247 @t245)) % 36.42/36.66 (define @t249 () (forall @t247 @t244)) % 36.42/36.66 (define @t250 () (@list @t12)) % 36.42/36.66 (define @t251 () (or @t236 @t249)) % 36.42/36.66 (define @t252 () (= @t2 @t81)) % 36.42/36.66 (define @t253 () (not @t36)) % 36.42/36.66 (define @t254 () (forall @t16 (or @t253 (not @t252)))) % 36.42/36.66 (define @t255 () (not @t254)) % 36.42/36.66 (define @t256 () (and @t21 @t255)) % 36.42/36.66 (define @t257 () (forall @t7 (not @t256))) % 36.42/36.66 (define @t258 () (not @t257)) % 36.42/36.66 (define @t259 () (and @t36 @t252)) % 36.42/36.66 (define @t260 () (forall @t16 (not @t259))) % 36.42/36.66 (define @t261 () (not @t260)) % 36.42/36.66 (define @t262 () (@var "BOUND_VARIABLE_11253" $$unsorted)) % 36.42/36.66 (define @t263 () (@var "BOUND_VARIABLE_11249" $$unsorted)) % 36.42/36.66 (define @t264 () (@var "BOUND_VARIABLE_11247" $$unsorted)) % 36.42/36.66 (define @t265 () (@var "BOUND_VARIABLE_11251" $$unsorted)) % 36.42/36.66 (define @t266 () (tptp.app (tptp.app (tptp.app @t265 (tptp.cons @t264 tptp.nil)) (tptp.cons @t263 tptp.nil)) @t262)) % 36.42/36.66 (define @t267 () (@var "BOUND_VARIABLE_11272" $$unsorted)) % 36.42/36.66 (define @t268 () (not (= tptp.nil @t267))) % 36.42/36.66 (define @t269 () (@var "BOUND_VARIABLE_11274" $$unsorted)) % 36.42/36.66 (define @t270 () (not @t183)) % 36.42/36.66 (define @t271 () (not (forall @t185 (or @t270 (= @t178 @t269) (not (tptp.memberP @t267 @t178)) (not (tptp.leq @t178 @t269)))))) % 36.42/36.66 (define @t272 () (not (tptp.memberP @t267 @t269))) % 36.42/36.66 (define @t273 () (tptp.cons @t269 tptp.nil)) % 36.42/36.66 (define @t274 () (not (tptp.ssItem @t269))) % 36.42/36.66 (define @t275 () (or @t274 (not (= @t266 @t273)) @t272 @t271)) % 36.42/36.66 (define @t276 () (and @t275 (or @t268 (not (= tptp.nil @t266))))) % 36.42/36.66 (define @t277 () (not (tptp.ssList @t267))) % 36.42/36.66 (define @t278 () (not (tptp.ssList @t262))) % 36.42/36.66 (define @t279 () (not (tptp.ssList @t265))) % 36.42/36.66 (define @t280 () (= @t264 @t263)) % 36.42/36.66 (define @t281 () (not (tptp.ssItem @t263))) % 36.42/36.66 (define @t282 () (not (tptp.ssItem @t264))) % 36.42/36.66 (define @t283 () (not (tptp.ssList @t266))) % 36.42/36.66 (define @t284 () (or @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t276)) % 36.42/36.66 (define @t285 () (@list @t264 @t263 @t265 @t262 @t267 @t269)) % 36.42/36.66 (define @t286 () (forall @t285 @t284)) % 36.42/36.66 (define @t287 () (@quantifiers_skolemize @t286 3)) % 36.42/36.66 (define @t288 () (not (= @t287 @t233))) % 36.42/36.66 (define @t289 () (or @t236 @t235 @t288)) % 36.42/36.66 (define @t290 () (forall @t238 @t289)) % 36.42/36.66 (define @t291 () (not @t290)) % 36.42/36.66 (define @t292 () (tptp.ssList @t287)) % 36.42/36.66 (define @t293 () (not @t292)) % 36.42/36.66 (define @t294 () (or @t293 (= @t287 tptp.nil) @t291)) % 36.42/36.66 (define @t295 () (forall @t9 @t242)) % 36.42/36.66 (define @t296 () (forall @t238 (or @t236 @t235 (not (= @t233 @t287))))) % 36.42/36.66 (define @t297 () (not @t296)) % 36.42/36.66 (define @t298 () (= tptp.nil @t287)) % 36.42/36.66 (define @t299 () (or @t293 @t298 @t297)) % 36.42/36.66 (define @t300 () (@list false)) % 36.42/36.66 (define @t301 () (@list @t295)) % 36.42/36.66 (define @t302 () (@var "BOUND_VARIABLE_9353" $$unsorted)) % 36.42/36.66 (define @t303 () (= @t302 (tptp.hd (tptp.cons @t302 @t2)))) % 36.42/36.66 (define @t304 () (not (tptp.ssItem @t302))) % 36.42/36.66 (define @t305 () (or @t304 @t303)) % 36.42/36.66 (define @t306 () (or @t241 @t305)) % 36.42/36.66 (define @t307 () (forall (@list @t2 @t302) @t306)) % 36.42/36.66 (define @t308 () (@list @t302)) % 36.42/36.66 (define @t309 () (forall @t308 @t306)) % 36.42/36.66 (define @t310 () (forall @t308 @t305)) % 36.42/36.66 (define @t311 () (@list @t1)) % 36.42/36.66 (define @t312 () (or @t241 @t310)) % 36.42/36.66 (define @t313 () (= @t1 @t92)) % 36.42/36.66 (define @t314 () (not @t6)) % 36.42/36.66 (define @t315 () (forall @t7 (or @t314 @t313))) % 36.42/36.66 (define @t316 () (@quantifiers_skolemize @t286 1)) % 36.42/36.66 (define @t317 () (tptp.cons @t316 tptp.nil)) % 36.42/36.66 (define @t318 () (@quantifiers_skolemize @t286 0)) % 36.42/36.66 (define @t319 () (tptp.cons @t318 tptp.nil)) % 36.42/36.66 (define @t320 () (@quantifiers_skolemize @t286 2)) % 36.42/36.66 (define @t321 () (tptp.app @t320 @t319)) % 36.42/36.66 (define @t322 () (tptp.app @t321 @t317)) % 36.42/36.66 (define @t323 () (tptp.app @t322 @t287)) % 36.42/36.66 (define @t324 () (forall @t238 (or @t236 @t235 (not (= @t233 @t323))))) % 36.42/36.66 (define @t325 () (@quantifiers_skolemize @t324 1)) % 36.42/36.66 (define @t326 () (@quantifiers_skolemize @t324 0)) % 36.42/36.66 (define @t327 () (@list @t326 @t325)) % 36.42/36.66 (define @t328 () (not (= @t323 @t233))) % 36.42/36.66 (define @t329 () (or @t236 @t235 @t328)) % 36.42/36.66 (define @t330 () (forall @t238 @t329)) % 36.42/36.66 (define @t331 () (not @t330)) % 36.42/36.66 (define @t332 () (tptp.ssList @t323)) % 36.42/36.66 (define @t333 () (not @t332)) % 36.42/36.66 (define @t334 () (or @t333 (= @t323 tptp.nil) @t331)) % 36.42/36.66 (define @t335 () (@list @t323)) % 36.42/36.66 (define @t336 () (not @t324)) % 36.42/36.66 (define @t337 () (= tptp.nil @t323)) % 36.42/36.66 (define @t338 () (or @t333 @t337 @t336)) % 36.42/36.66 (define @t339 () (@var "BOUND_VARIABLE_10631" $$unsorted)) % 36.42/36.66 (define @t340 () (and (= @t339 tptp.nil) @t240)) % 36.42/36.66 (define @t341 () (= tptp.nil (tptp.app @t2 @t339))) % 36.42/36.66 (define @t342 () (= @t341 @t340)) % 36.42/36.66 (define @t343 () (not (tptp.ssList @t339))) % 36.42/36.66 (define @t344 () (or @t241 @t343 @t342)) % 36.42/36.66 (define @t345 () (or @t343 @t342)) % 36.42/36.66 (define @t346 () (or @t241 @t345)) % 36.42/36.66 (define @t347 () (@list @t2 @t339)) % 36.42/36.66 (define @t348 () (forall @t347 @t346)) % 36.42/36.66 (define @t349 () (@list @t339)) % 36.42/36.66 (define @t350 () (forall @t349 @t346)) % 36.42/36.66 (define @t351 () (forall @t349 @t345)) % 36.42/36.66 (define @t352 () (or @t241 @t351)) % 36.42/36.66 (define @t353 () (= @t1 tptp.nil)) % 36.42/36.66 (define @t354 () (= @t165 (and @t353 @t240))) % 36.42/36.66 (define @t355 () (forall @t7 (or @t236 @t354))) % 36.42/36.66 (define @t356 () (and @t298 (= @t322 tptp.nil))) % 36.42/36.66 (define @t357 () (= @t337 @t356)) % 36.42/36.66 (define @t358 () (tptp.ssList @t322)) % 36.42/36.66 (define @t359 () (not @t358)) % 36.42/36.66 (define @t360 () (or @t359 @t293 @t357)) % 36.42/36.66 (define @t361 () (forall @t347 (or @t241 @t343 (= @t341 (and (= tptp.nil @t339) @t240))))) % 36.42/36.66 (define @t362 () (= tptp.nil @t322)) % 36.42/36.66 (define @t363 () (and @t298 @t362)) % 36.42/36.66 (define @t364 () (= @t337 @t363)) % 36.42/36.66 (define @t365 () (or @t359 @t293 @t364)) % 36.42/36.66 (define @t366 () (@list @t361)) % 36.42/36.66 (define @t367 () (@var "BOUND_VARIABLE_9403" $$unsorted)) % 36.42/36.66 (define @t368 () (tptp.ssList (tptp.app @t2 @t367))) % 36.42/36.66 (define @t369 () (not (tptp.ssList @t367))) % 36.42/36.66 (define @t370 () (or @t369 @t368)) % 36.42/36.66 (define @t371 () (or @t241 @t370)) % 36.42/36.66 (define @t372 () (forall (@list @t2 @t367) @t371)) % 36.42/36.66 (define @t373 () (@list @t367)) % 36.42/36.66 (define @t374 () (forall @t373 @t371)) % 36.42/36.66 (define @t375 () (forall @t373 @t370)) % 36.42/36.66 (define @t376 () (or @t241 @t375)) % 36.42/36.66 (define @t377 () (forall @t7 (or @t236 @t104))) % 36.42/36.66 (define @t378 () (@list @t321 @t317)) % 36.42/36.66 (define @t379 () (@var "BOUND_VARIABLE_9159" $$unsorted)) % 36.42/36.66 (define @t380 () (tptp.ssList (tptp.cons @t379 @t2))) % 36.42/36.66 (define @t381 () (not (tptp.ssItem @t379))) % 36.42/36.66 (define @t382 () (or @t381 @t380)) % 36.42/36.66 (define @t383 () (or @t241 @t382)) % 36.42/36.66 (define @t384 () (forall (@list @t2 @t379) @t383)) % 36.42/36.66 (define @t385 () (@list @t379)) % 36.42/36.66 (define @t386 () (forall @t385 @t383)) % 36.42/36.66 (define @t387 () (forall @t385 @t382)) % 36.42/36.66 (define @t388 () (or @t241 @t387)) % 36.42/36.66 (define @t389 () (forall @t7 (or @t314 @t70))) % 36.42/36.66 (define @t390 () (@list tptp.nil @t316)) % 36.42/36.66 (define @t391 () (not (= @t266 tptp.nil))) % 36.42/36.66 (define @t392 () (or @t268 @t391)) % 36.42/36.66 (define @t393 () (and @t275 @t392)) % 36.42/36.66 (define @t394 () (not (= @t266 @t266))) % 36.42/36.66 (define @t395 () (or @t283 @t282 @t281 @t280 @t279 @t278 @t394 @t277 @t393)) % 36.42/36.66 (define @t396 () (not @t240)) % 36.42/36.66 (define @t397 () (or @t274 (not (= @t2 @t273)) @t272 @t271)) % 36.42/36.66 (define @t398 () (and @t397 (or @t268 @t396))) % 36.42/36.66 (define @t399 () (not (= @t2 @t266))) % 36.42/36.66 (define @t400 () (or @t399 @t241 @t282 @t281 @t280 @t279 @t278 @t399 @t277 @t398)) % 36.42/36.66 (define @t401 () (or @t241 @t282 @t281 @t280 @t279 @t278 @t399 @t277 @t398)) % 36.42/36.66 (define @t402 () (forall @t9 @t401)) % 36.42/36.66 (define @t403 () (forall @t285 @t402)) % 36.42/36.66 (define @t404 () (forall (@list @t264 @t263 @t265 @t262 @t267 @t269 @t2) @t401)) % 36.42/36.66 (define @t405 () (@list @t2 @t264 @t263 @t265 @t262 @t267 @t269)) % 36.42/36.66 (define @t406 () (not (= @t267 tptp.nil))) % 36.42/36.66 (define @t407 () (or @t406 @t396)) % 36.42/36.66 (define @t408 () (and @t397 @t407)) % 36.42/36.66 (define @t409 () (or @t241 @t282 @t281 @t280 @t279 @t278 @t399 @t277 @t408)) % 36.42/36.66 (define @t410 () (or @t277 @t408)) % 36.42/36.66 (define @t411 () (or @t282 @t281 @t280 @t279 @t278 @t399)) % 36.42/36.66 (define @t412 () (or @t241 @t411 @t410)) % 36.42/36.66 (define @t413 () (forall @t405 @t412)) % 36.42/36.66 (define @t414 () (forall @t285 @t412)) % 36.42/36.66 (define @t415 () (forall (@list @t267 @t269) @t410)) % 36.42/36.66 (define @t416 () (@var "BOUND_VARIABLE_11222" $$unsorted)) % 36.42/36.66 (define @t417 () (forall (@list @t264 @t263 @t265 @t262) @t411)) % 36.42/36.66 (define @t418 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 36.42/36.66 (define @t419 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 36.42/36.66 (define @t420 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 36.42/36.66 (define @t421 () (or @t241 @t417 @t415)) % 36.42/36.66 (define @t422 () (not @t353)) % 36.42/36.66 (define @t423 () (or @t422 @t396)) % 36.42/36.66 (define @t424 () (not (tptp.memberP @t1 @t178))) % 36.42/36.66 (define @t425 () (or (not (tptp.ssItem @t416)) (not (= @t2 (tptp.cons @t416 tptp.nil))) (not (tptp.memberP @t1 @t416)) (not (forall @t185 (or @t270 (= @t178 @t416) @t424 (not (tptp.leq @t178 @t416))))))) % 36.42/36.66 (define @t426 () (and @t425 @t423)) % 36.42/36.66 (define @t427 () (or @t236 @t426)) % 36.42/36.66 (define @t428 () (forall (@list @t1 @t416) @t427)) % 36.42/36.66 (define @t429 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t419 @t199) (tptp.cons @t420 tptp.nil)) @t418)))) % 36.42/36.66 (define @t430 () (not (tptp.ssList @t418))) % 36.42/36.66 (define @t431 () (not (tptp.ssList @t419))) % 36.42/36.66 (define @t432 () (= @t28 @t420)) % 36.42/36.66 (define @t433 () (not (tptp.ssItem @t420))) % 36.42/36.66 (define @t434 () (not @t216)) % 36.42/36.66 (define @t435 () (or @t434 @t433 @t432 @t431 @t430 @t429)) % 36.42/36.66 (define @t436 () (@list @t28 @t420 @t419 @t418)) % 36.42/36.66 (define @t437 () (forall @t436 @t435)) % 36.42/36.66 (define @t438 () (or @t241 @t437 @t428)) % 36.42/36.66 (define @t439 () (or @t437 @t241 @t428)) % 36.42/36.66 (define @t440 () (@list @t416)) % 36.42/36.66 (define @t441 () (forall @t440 @t427)) % 36.42/36.66 (define @t442 () (forall @t440 @t423)) % 36.42/36.66 (define @t443 () (forall @t440 @t425)) % 36.42/36.66 (define @t444 () (@var "BOUND_VARIABLE_11191" $$unsorted)) % 36.42/36.66 (define @t445 () (@list @t444)) % 36.42/36.66 (define @t446 () (and @t443 @t442)) % 36.42/36.66 (define @t447 () (forall @t440 @t426)) % 36.42/36.66 (define @t448 () (or @t236 @t447)) % 36.42/36.66 (define @t449 () (and (forall (@list @t444) (or (not (tptp.ssItem @t444)) (not (= @t2 (tptp.cons @t444 tptp.nil))) (not (tptp.memberP @t1 @t444)) (not (forall @t185 (or @t270 (= @t178 @t444) @t424 (not (tptp.leq @t178 @t444))))))) @t423)) % 36.42/36.66 (define @t450 () (or @t236 @t449)) % 36.42/36.66 (define @t451 () (forall @t7 @t450)) % 36.42/36.66 (define @t452 () (or @t437 @t241 @t451)) % 36.42/36.66 (define @t453 () (or @t437 @t241 @t450)) % 36.42/36.66 (define @t454 () (or @t236 @t437 @t241 @t449)) % 36.42/36.66 (define @t455 () (or @t437 @t236 @t241 @t449)) % 36.42/36.66 (define @t456 () (@var "BOUND_VARIABLE_11156" $$unsorted)) % 36.42/36.66 (define @t457 () (@list @t456)) % 36.42/36.66 (define @t458 () (forall @t457 @t423)) % 36.42/36.66 (define @t459 () (not (forall @t185 (or @t270 (= @t178 @t456) @t424 (not (tptp.leq @t178 @t456)))))) % 36.42/36.66 (define @t460 () (not (tptp.memberP @t1 @t456))) % 36.42/36.66 (define @t461 () (tptp.cons @t456 tptp.nil)) % 36.42/36.66 (define @t462 () (not (tptp.ssItem @t456))) % 36.42/36.66 (define @t463 () (or @t462 (not (= @t2 @t461)) @t460 @t459)) % 36.42/36.66 (define @t464 () (forall @t457 @t463)) % 36.42/36.66 (define @t465 () (@list @t456)) % 36.42/36.66 (define @t466 () (and @t464 @t458)) % 36.42/36.66 (define @t467 () (and @t463 @t423)) % 36.42/36.66 (define @t468 () (forall @t457 @t467)) % 36.42/36.66 (define @t469 () (or @t241 @t468)) % 36.42/36.66 (define @t470 () (or @t241 @t467)) % 36.42/36.66 (define @t471 () (not (= @t2 @t2))) % 36.42/36.66 (define @t472 () (or @t241 @t471 @t467)) % 36.42/36.66 (define @t473 () (not (= @t12 tptp.nil))) % 36.42/36.66 (define @t474 () (or @t422 @t473)) % 36.42/36.66 (define @t475 () (or @t462 (not (= @t12 @t461)) @t460 @t459)) % 36.42/36.66 (define @t476 () (and @t475 @t474)) % 36.42/36.66 (define @t477 () (not @t15)) % 36.42/36.66 (define @t478 () (or @t220 @t477 @t220 @t476)) % 36.42/36.66 (define @t479 () (or @t477 @t220 @t476)) % 36.42/36.66 (define @t480 () (forall @t16 @t479)) % 36.42/36.66 (define @t481 () (forall @t457 @t480)) % 36.42/36.66 (define @t482 () (forall (@list @t456 @t12) @t479)) % 36.42/36.66 (define @t483 () (forall (@list @t12 @t456) @t479)) % 36.42/36.66 (define @t484 () (forall @t457 @t479)) % 36.42/36.66 (define @t485 () (forall @t457 @t474)) % 36.42/36.66 (define @t486 () (forall @t457 @t475)) % 36.42/36.66 (define @t487 () (@var "BOUND_VARIABLE_11125" $$unsorted)) % 36.42/36.66 (define @t488 () (@list @t487)) % 36.42/36.66 (define @t489 () (and @t486 @t485)) % 36.42/36.66 (define @t490 () (forall @t457 @t476)) % 36.42/36.66 (define @t491 () (or @t477 @t220 @t490)) % 36.42/36.66 (define @t492 () (and (forall (@list @t487) (or (not (tptp.ssItem @t487)) (not (= @t12 (tptp.cons @t487 tptp.nil))) (not (tptp.memberP @t1 @t487)) (not (forall @t185 (or @t270 (= @t178 @t487) @t424 (not (tptp.leq @t178 @t487))))))) @t474)) % 36.42/36.66 (define @t493 () (or @t477 @t220 @t492)) % 36.42/36.66 (define @t494 () (forall @t16 @t493)) % 36.42/36.66 (define @t495 () (or @t437 @t236 @t494)) % 36.42/36.66 (define @t496 () (or @t437 @t236 @t493)) % 36.42/36.66 (define @t497 () (or @t477 @t220 @t437 @t236 @t492)) % 36.42/36.66 (define @t498 () (or @t220 @t437 @t236 @t492)) % 36.42/36.66 (define @t499 () (@var "BOUND_VARIABLE_11079" $$unsorted)) % 36.42/36.66 (define @t500 () (@list @t499)) % 36.42/36.66 (define @t501 () (forall @t500 @t474)) % 36.42/36.66 (define @t502 () (not (tptp.leq @t178 @t499))) % 36.42/36.66 (define @t503 () (= @t178 @t499)) % 36.42/36.66 (define @t504 () (not (= @t12 (tptp.cons @t499 tptp.nil)))) % 36.42/36.66 (define @t505 () (not (tptp.ssItem @t499))) % 36.42/36.66 (define @t506 () (or @t505 @t504 (not (tptp.memberP @t1 @t499)) (not (forall @t185 (or @t270 @t503 @t424 @t502))))) % 36.42/36.66 (define @t507 () (forall @t500 @t506)) % 36.42/36.66 (define @t508 () (@list @t499)) % 36.42/36.66 (define @t509 () (and @t507 @t501)) % 36.42/36.66 (define @t510 () (and @t506 @t474)) % 36.42/36.66 (define @t511 () (forall @t500 @t510)) % 36.42/36.66 (define @t512 () (or @t236 @t511)) % 36.42/36.66 (define @t513 () (or @t236 @t510)) % 36.42/36.66 (define @t514 () (not (= @t1 @t1))) % 36.42/36.66 (define @t515 () (or @t236 @t514 @t510)) % 36.42/36.66 (define @t516 () (or (not (= @t10 tptp.nil)) @t473)) % 36.42/36.66 (define @t517 () (not @t180)) % 36.42/36.66 (define @t518 () (not (tptp.memberP @t10 @t499))) % 36.42/36.66 (define @t519 () (and (or @t505 @t504 @t518 (not (forall @t185 (or @t270 @t503 @t517 @t502)))) @t516)) % 36.42/36.66 (define @t520 () (not @t13)) % 36.42/36.66 (define @t521 () (or @t221 @t520 @t221 @t519)) % 36.42/36.66 (define @t522 () (or @t520 @t221 @t519)) % 36.42/36.66 (define @t523 () (forall @t14 @t522)) % 36.42/36.66 (define @t524 () (forall @t500 @t523)) % 36.42/36.66 (define @t525 () (forall (@list @t499 @t10) @t522)) % 36.42/36.66 (define @t526 () (@list @t10 @t499)) % 36.42/36.66 (define @t527 () (or @t270 (= @t499 @t178) @t517 @t502)) % 36.42/36.66 (define @t528 () (forall @t185 @t527)) % 36.42/36.66 (define @t529 () (not @t528)) % 36.42/36.66 (define @t530 () (or @t505 @t504 @t518 @t529)) % 36.42/36.66 (define @t531 () (and @t530 @t516)) % 36.42/36.66 (define @t532 () (or @t520 @t221 @t531)) % 36.42/36.66 (define @t533 () (forall @t526 @t532)) % 36.42/36.66 (define @t534 () (forall @t500 @t532)) % 36.42/36.66 (define @t535 () (forall @t500 @t516)) % 36.42/36.66 (define @t536 () (forall @t500 @t530)) % 36.42/36.66 (define @t537 () (and @t536 @t535)) % 36.42/36.66 (define @t538 () (forall @t500 @t531)) % 36.42/36.66 (define @t539 () (or @t520 @t221 @t538)) % 36.42/36.66 (define @t540 () (not @t179)) % 36.42/36.66 (define @t541 () (not (forall @t185 (or @t270 @t181 @t517 @t540)))) % 36.42/36.66 (define @t542 () (not (= @t12 @t188))) % 36.42/36.66 (define @t543 () (not @t191)) % 36.42/36.66 (define @t544 () (or @t543 @t542 @t187 @t541)) % 36.42/36.66 (define @t545 () (and (forall @t193 @t544) @t516)) % 36.42/36.66 (define @t546 () (or @t520 @t221 @t545)) % 36.42/36.66 (define @t547 () (forall @t14 @t546)) % 36.42/36.66 (define @t548 () (or @t220 @t437 @t547)) % 36.42/36.66 (define @t549 () (or @t220 @t437 @t546)) % 36.42/36.66 (define @t550 () (or @t520 @t221 @t220 @t437 @t545)) % 36.42/36.66 (define @t551 () (or @t221 @t220 @t437 @t545)) % 36.42/36.66 (define @t552 () (or @t542 @t187 @t541)) % 36.42/36.66 (define @t553 () (not @t182)) % 36.42/36.66 (define @t554 () (or @t270 @t553 @t517 @t540)) % 36.42/36.66 (define @t555 () (forall @t185 (not @t184))) % 36.42/36.66 (define @t556 () (not @t555)) % 36.42/36.66 (define @t557 () (or @t433 @t432 @t431 @t430 @t429)) % 36.42/36.66 (define @t558 () (or @t434 @t557)) % 36.42/36.66 (define @t559 () (forall @t436 @t558)) % 36.42/36.66 (define @t560 () (@list @t420 @t419 @t418)) % 36.42/36.66 (define @t561 () (forall @t560 @t558)) % 36.42/36.66 (define @t562 () (forall @t560 @t557)) % 36.42/36.66 (define @t563 () (@var "BOUND_VARIABLE_11001" $$unsorted)) % 36.42/36.66 (define @t564 () (@var "BOUND_VARIABLE_10999" $$unsorted)) % 36.42/36.66 (define @t565 () (or @t434 @t562)) % 36.42/36.66 (define @t566 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t564 @t199) @t198) @t563)))) % 36.42/36.66 (define @t567 () (not (tptp.ssList @t563))) % 36.42/36.66 (define @t568 () (not (tptp.ssList @t564))) % 36.42/36.66 (define @t569 () (not @t213)) % 36.42/36.66 (define @t570 () (or @t569 @t196 @t568 @t567 @t566)) % 36.42/36.66 (define @t571 () (@list @t27 @t564 @t563)) % 36.42/36.66 (define @t572 () (forall @t571 @t570)) % 36.42/36.66 (define @t573 () (or @t568 @t567 @t566)) % 36.42/36.66 (define @t574 () (or @t569 @t196 @t573)) % 36.42/36.66 (define @t575 () (forall @t571 @t574)) % 36.42/36.66 (define @t576 () (@list @t564 @t563)) % 36.42/36.66 (define @t577 () (forall @t576 @t574)) % 36.42/36.66 (define @t578 () (forall @t576 @t573)) % 36.42/36.66 (define @t579 () (@var "BOUND_VARIABLE_10980" $$unsorted)) % 36.42/36.66 (define @t580 () (or @t569 @t196 @t578)) % 36.42/36.66 (define @t581 () (not (= @t2 (tptp.app @t201 @t579)))) % 36.42/36.66 (define @t582 () (not (tptp.ssList @t579))) % 36.42/36.66 (define @t583 () (not @t209)) % 36.42/36.66 (define @t584 () (or @t583 @t582 @t581)) % 36.42/36.66 (define @t585 () (@list @t200 @t579)) % 36.42/36.66 (define @t586 () (forall @t585 @t584)) % 36.42/36.66 (define @t587 () (or @t569 @t196 @t586)) % 36.42/36.66 (define @t588 () (or @t196 @t586)) % 36.42/36.66 (define @t589 () (or @t582 @t581)) % 36.42/36.66 (define @t590 () (or @t583 @t589)) % 36.42/36.66 (define @t591 () (forall @t585 @t590)) % 36.42/36.66 (define @t592 () (@list @t579)) % 36.42/36.66 (define @t593 () (forall @t592 @t590)) % 36.42/36.66 (define @t594 () (forall @t592 @t589)) % 36.42/36.66 (define @t595 () (or @t583 @t594)) % 36.42/36.66 (define @t596 () (not (= @t2 @t202))) % 36.42/36.66 (define @t597 () (not @t205)) % 36.42/36.66 (define @t598 () (or @t597 @t596)) % 36.42/36.66 (define @t599 () (forall @t207 @t598)) % 36.42/36.66 (define @t600 () (or @t583 @t599)) % 36.42/36.66 (define @t601 () (forall @t211 @t600)) % 36.42/36.66 (define @t602 () (or @t196 @t601)) % 36.42/36.66 (define @t603 () (or @t196 @t600)) % 36.42/36.66 (define @t604 () (or @t583 @t196 @t599)) % 36.42/36.66 (define @t605 () (or @t196 @t599)) % 36.42/36.66 (define @t606 () (or @t196 @t598)) % 36.42/36.66 (define @t607 () (or @t597 @t596 @t196)) % 36.42/36.66 (define @t608 () (or @t596 @t196)) % 36.42/36.66 (define @t609 () (tptp.ssItem @t316)) % 36.42/36.66 (define @t610 () (not @t337)) % 36.42/36.66 (define @t611 () (@quantifiers_skolemize @t286 4)) % 36.42/36.66 (define @t612 () (or (not (= tptp.nil @t611)) @t610)) % 36.42/36.66 (define @t613 () (@quantifiers_skolemize @t286 5)) % 36.42/36.66 (define @t614 () (tptp.cons @t613 tptp.nil)) % 36.42/36.66 (define @t615 () (= @t323 @t614)) % 36.42/36.66 (define @t616 () (not @t615)) % 36.42/36.66 (define @t617 () (tptp.ssItem @t613)) % 36.42/36.66 (define @t618 () (not @t617)) % 36.42/36.66 (define @t619 () (or @t618 @t616 (not (tptp.memberP @t611 @t613)) (not (forall @t185 (or @t270 (= @t178 @t613) (not (tptp.memberP @t611 @t178)) (not (tptp.leq @t178 @t613))))))) % 36.42/36.66 (define @t620 () (and @t619 @t612)) % 36.42/36.66 (define @t621 () (tptp.ssList @t320)) % 36.42/36.66 (define @t622 () (not @t621)) % 36.42/36.66 (define @t623 () (not @t609)) % 36.42/36.66 (define @t624 () (tptp.ssItem @t318)) % 36.42/36.66 (define @t625 () (not @t624)) % 36.42/36.66 (define @t626 () (or @t333 @t625 @t623 (= @t318 @t316) @t622 @t293 (not (tptp.ssList @t611)) @t620)) % 36.42/36.66 (define @t627 () (@list true)) % 36.42/36.66 (define @t628 () (@list @t626)) % 36.42/36.66 (define @t629 () (tptp.ssList @t317)) % 36.42/36.66 (define @t630 () (not @t74)) % 36.42/36.66 (define @t631 () (or @t630 @t623 @t629)) % 36.42/36.66 (define @t632 () (@list false false false)) % 36.42/36.66 (define @t633 () (@list @t320 @t319)) % 36.42/36.66 (define @t634 () (@list tptp.nil @t318)) % 36.42/36.66 (define @t635 () (tptp.ssList @t319)) % 36.42/36.66 (define @t636 () (or @t630 @t625 @t635)) % 36.42/36.66 (define @t637 () (tptp.ssList @t321)) % 36.42/36.66 (define @t638 () (not @t635)) % 36.42/36.66 (define @t639 () (or @t622 @t638 @t637)) % 36.42/36.66 (define @t640 () (not @t629)) % 36.42/36.66 (define @t641 () (not @t637)) % 36.42/36.66 (define @t642 () (or @t641 @t640 @t358)) % 36.42/36.66 (define @t643 () (= tptp.nil @t317)) % 36.42/36.66 (define @t644 () (and @t643 (= @t321 tptp.nil))) % 36.42/36.66 (define @t645 () (= @t362 @t644)) % 36.42/36.66 (define @t646 () (or @t641 @t640 @t645)) % 36.42/36.66 (define @t647 () (= tptp.nil @t321)) % 36.42/36.66 (define @t648 () (and @t643 @t647)) % 36.42/36.66 (define @t649 () (= @t362 @t648)) % 36.42/36.66 (define @t650 () (or @t641 @t640 @t649)) % 36.42/36.66 (define @t651 () (@var "BOUND_VARIABLE_9182" $$unsorted)) % 36.42/36.66 (define @t652 () (not (= @t2 (tptp.cons @t651 @t2)))) % 36.42/36.66 (define @t653 () (not (tptp.ssItem @t651))) % 36.42/36.66 (define @t654 () (or @t653 @t652)) % 36.42/36.66 (define @t655 () (or @t241 @t654)) % 36.42/36.66 (define @t656 () (forall (@list @t2 @t651) @t655)) % 36.42/36.66 (define @t657 () (@list @t651)) % 36.42/36.66 (define @t658 () (forall @t657 @t655)) % 36.42/36.66 (define @t659 () (forall @t657 @t654)) % 36.42/36.66 (define @t660 () (or @t241 @t659)) % 36.42/36.66 (define @t661 () (not (= @t2 @t69))) % 36.42/36.66 (define @t662 () (forall @t7 (or @t314 @t661))) % 36.42/36.66 (define @t663 () (not @t643)) % 36.42/36.66 (define @t664 () (or @t630 @t623 @t663)) % 36.42/36.66 (define @t665 () (not @t648)) % 36.42/36.66 (define @t666 () (not @t362)) % 36.42/36.66 (define @t667 () (@list true false)) % 36.42/36.66 (define @t668 () (not @t363)) % 36.42/36.66 (define @t669 () (@list false true false)) % 36.42/36.66 (define @t670 () (tptp.cons @t325 @t326)) % 36.42/36.66 (define @t671 () (= @t323 @t670)) % 36.42/36.66 (define @t672 () (not @t671)) % 36.42/36.66 (define @t673 () (tptp.ssItem @t325)) % 36.42/36.66 (define @t674 () (not @t673)) % 36.42/36.66 (define @t675 () (tptp.ssList @t326)) % 36.42/36.66 (define @t676 () (not @t675)) % 36.42/36.66 (define @t677 () (or @t676 @t674 @t672)) % 36.42/36.66 (define @t678 () (not @t677)) % 36.42/36.66 (define @t679 () (not (= @t670 @t323))) % 36.42/36.66 (define @t680 () (or @t676 @t674 @t679)) % 36.42/36.66 (define @t681 () (not @t680)) % 36.42/36.66 (define @t682 () (@list @t677)) % 36.42/36.66 (define @t683 () (tptp.hd @t670)) % 36.42/36.66 (define @t684 () (= @t325 @t683)) % 36.42/36.66 (define @t685 () (or @t676 @t674 @t684)) % 36.42/36.66 (define @t686 () (@var "BOUND_VARIABLE_9383" $$unsorted)) % 36.42/36.66 (define @t687 () (= @t2 (tptp.tl (tptp.cons @t686 @t2)))) % 36.42/36.66 (define @t688 () (not (tptp.ssItem @t686))) % 36.42/36.66 (define @t689 () (or @t688 @t687)) % 36.42/36.66 (define @t690 () (or @t241 @t689)) % 36.42/36.66 (define @t691 () (forall (@list @t2 @t686) @t690)) % 36.42/36.66 (define @t692 () (@list @t686)) % 36.42/36.66 (define @t693 () (forall @t692 @t690)) % 36.42/36.66 (define @t694 () (forall @t692 @t689)) % 36.42/36.66 (define @t695 () (or @t241 @t694)) % 36.42/36.66 (define @t696 () (= @t2 @t98)) % 36.42/36.66 (define @t697 () (forall @t7 (or @t314 @t696))) % 36.42/36.66 (define @t698 () (tptp.tl @t670)) % 36.42/36.66 (define @t699 () (= @t326 @t698)) % 36.42/36.66 (define @t700 () (or @t676 @t674 @t699)) % 36.42/36.66 (define @t701 () (@var "BOUND_VARIABLE_10486" $$unsorted)) % 36.42/36.66 (define @t702 () (= @t2 @t701)) % 36.42/36.66 (define @t703 () (@var "BOUND_VARIABLE_10484" $$unsorted)) % 36.42/36.66 (define @t704 () (not (= (tptp.app @t2 @t703) (tptp.app @t701 @t703)))) % 36.42/36.66 (define @t705 () (not (tptp.ssList @t701))) % 36.42/36.66 (define @t706 () (not (tptp.ssList @t703))) % 36.42/36.66 (define @t707 () (or @t241 @t706 @t705 @t704 @t702)) % 36.42/36.66 (define @t708 () (or @t706 @t705 @t704 @t702)) % 36.42/36.66 (define @t709 () (or @t241 @t708)) % 36.42/36.66 (define @t710 () (@list @t2 @t703 @t701)) % 36.42/36.66 (define @t711 () (forall @t710 @t709)) % 36.42/36.66 (define @t712 () (@list @t703 @t701)) % 36.42/36.66 (define @t713 () (forall @t712 @t709)) % 36.42/36.66 (define @t714 () (forall @t712 @t708)) % 36.42/36.66 (define @t715 () (@var "BOUND_VARIABLE_10463" $$unsorted)) % 36.42/36.66 (define @t716 () (or @t241 @t714)) % 36.42/36.66 (define @t717 () (= @t2 @t715)) % 36.42/36.66 (define @t718 () (tptp.app @t715 @t1)) % 36.42/36.66 (define @t719 () (not (tptp.ssList @t715))) % 36.42/36.66 (define @t720 () (@list @t1 @t715)) % 36.42/36.66 (define @t721 () (forall @t720 (or @t236 @t719 (not (= @t103 @t718)) @t717))) % 36.42/36.66 (define @t722 () (not (= @t718 @t103))) % 36.42/36.66 (define @t723 () (or @t236 @t719 @t722 @t717)) % 36.42/36.66 (define @t724 () (or @t719 @t722 @t717)) % 36.42/36.66 (define @t725 () (or @t236 @t724)) % 36.42/36.66 (define @t726 () (forall @t720 @t725)) % 36.42/36.66 (define @t727 () (@list @t715)) % 36.42/36.66 (define @t728 () (forall @t727 @t725)) % 36.42/36.66 (define @t729 () (forall @t727 @t724)) % 36.42/36.66 (define @t730 () (or @t236 @t729)) % 36.42/36.66 (define @t731 () (not @t146)) % 36.42/36.66 (define @t732 () (or @t477 @t731 @t219)) % 36.42/36.66 (define @t733 () (forall @t16 @t732)) % 36.42/36.66 (define @t734 () (=> @t146 @t219)) % 36.42/36.66 (define @t735 () (= @t317 @t322)) % 36.42/36.66 (define @t736 () (tptp.app @t317 @t287)) % 36.42/36.66 (define @t737 () (not (= @t736 @t323))) % 36.42/36.66 (define @t738 () (or @t640 @t293 @t359 @t737 @t735)) % 36.42/36.66 (define @t739 () (forall @t710 @t707)) % 36.42/36.66 (define @t740 () (= @t323 @t736)) % 36.42/36.66 (define @t741 () (not @t740)) % 36.42/36.66 (define @t742 () (or @t640 @t293 @t359 @t741 @t735)) % 36.42/36.66 (define @t743 () (= tptp.nil @t319)) % 36.42/36.66 (define @t744 () (and @t743 (= @t320 tptp.nil))) % 36.42/36.66 (define @t745 () (= @t647 @t744)) % 36.42/36.66 (define @t746 () (or @t622 @t638 @t745)) % 36.42/36.66 (define @t747 () (and @t743 (= tptp.nil @t320))) % 36.42/36.66 (define @t748 () (= @t647 @t747)) % 36.42/36.66 (define @t749 () (or @t622 @t638 @t748)) % 36.42/36.66 (define @t750 () (not @t743)) % 36.42/36.66 (define @t751 () (or @t630 @t625 @t750)) % 36.42/36.66 (define @t752 () (not @t747)) % 36.42/36.66 (define @t753 () (not @t647)) % 36.42/36.66 (define @t754 () (tptp.app tptp.nil @t323)) % 36.42/36.66 (define @t755 () (= @t754 (tptp.app @t321 @t323))) % 36.42/36.66 (define @t756 () (not @t755)) % 36.42/36.66 (define @t757 () (or @t630 @t333 @t641 @t756 @t647)) % 36.42/36.66 (define @t758 () (@list false false false true false)) % 36.42/36.66 (define @t759 () (= @t2 @t109)) % 36.42/36.66 (define @t760 () (= @t323 @t754)) % 36.42/36.66 (define @t761 () (or @t333 @t760)) % 36.42/36.66 (define @t762 () (@list false false)) % 36.42/36.66 (define @t763 () (@list tptp.nil @t613)) % 36.42/36.66 (define @t764 () (@list @t619)) % 36.42/36.66 (define @t765 () (tptp.tl @t614)) % 36.42/36.66 (define @t766 () (= tptp.nil @t765)) % 36.42/36.66 (define @t767 () (or @t630 @t618 @t766)) % 36.42/36.66 (define @t768 () (tptp.hd @t614)) % 36.42/36.66 (define @t769 () (= @t613 @t768)) % 36.42/36.66 (define @t770 () (or @t630 @t618 @t769)) % 36.42/36.66 (define @t771 () (@var "BOUND_VARIABLE_9737" $$unsorted)) % 36.42/36.66 (define @t772 () (@var "BOUND_VARIABLE_9735" $$unsorted)) % 36.42/36.66 (define @t773 () (= (tptp.memberP (tptp.cons @t772 @t771) @t2) (or (= @t2 @t772) (tptp.memberP @t771 @t2)))) % 36.42/36.66 (define @t774 () (not (tptp.ssList @t771))) % 36.42/36.66 (define @t775 () (not (tptp.ssItem @t772))) % 36.42/36.66 (define @t776 () (not @t8)) % 36.42/36.66 (define @t777 () (or @t776 @t775 @t774 @t773)) % 36.42/36.66 (define @t778 () (or @t775 @t774 @t773)) % 36.42/36.66 (define @t779 () (or @t776 @t778)) % 36.42/36.66 (define @t780 () (@list @t2 @t772 @t771)) % 36.42/36.66 (define @t781 () (forall @t780 @t779)) % 36.42/36.66 (define @t782 () (@list @t772 @t771)) % 36.42/36.66 (define @t783 () (forall @t782 @t779)) % 36.42/36.66 (define @t784 () (forall @t782 @t778)) % 36.42/36.66 (define @t785 () (@var "BOUND_VARIABLE_9716" $$unsorted)) % 36.42/36.66 (define @t786 () (or @t776 @t784)) % 36.42/36.66 (define @t787 () (= (tptp.memberP (tptp.cons @t1 @t785) @t2) (or @t3 (tptp.memberP @t785 @t2)))) % 36.42/36.66 (define @t788 () (not (tptp.ssList @t785))) % 36.42/36.66 (define @t789 () (or @t314 @t788 @t787)) % 36.42/36.66 (define @t790 () (@list @t1 @t785)) % 36.42/36.66 (define @t791 () (forall @t790 @t789)) % 36.42/36.66 (define @t792 () (or @t788 @t787)) % 36.42/36.66 (define @t793 () (or @t314 @t792)) % 36.42/36.66 (define @t794 () (forall @t790 @t793)) % 36.42/36.66 (define @t795 () (@list @t785)) % 36.42/36.66 (define @t796 () (forall @t795 @t793)) % 36.42/36.66 (define @t797 () (forall @t795 @t792)) % 36.42/36.66 (define @t798 () (or @t314 @t797)) % 36.42/36.66 (define @t799 () (forall @t16 (or @t477 @t127))) % 36.42/36.66 (define @t800 () (tptp.memberP tptp.nil @t316)) % 36.42/36.66 (define @t801 () (= @t316 @t613)) % 36.42/36.66 (define @t802 () (or @t801 @t800)) % 36.42/36.66 (define @t803 () (tptp.memberP @t614 @t316)) % 36.42/36.66 (define @t804 () (= @t803 @t802)) % 36.42/36.66 (define @t805 () (or @t623 @t618 @t630 @t804)) % 36.42/36.66 (define @t806 () (@list false false false false)) % 36.42/36.66 (define @t807 () (@var "BOUND_VARIABLE_9691" $$unsorted)) % 36.42/36.66 (define @t808 () (@var "BOUND_VARIABLE_9689" $$unsorted)) % 36.42/36.66 (define @t809 () (= (tptp.memberP (tptp.app @t808 @t807) @t2) (or (tptp.memberP @t808 @t2) (tptp.memberP @t807 @t2)))) % 36.42/36.66 (define @t810 () (not (tptp.ssList @t807))) % 36.42/36.66 (define @t811 () (not (tptp.ssList @t808))) % 36.42/36.66 (define @t812 () (or @t811 @t810 @t809)) % 36.42/36.66 (define @t813 () (or @t776 @t812)) % 36.42/36.66 (define @t814 () (forall (@list @t2 @t808 @t807) @t813)) % 36.42/36.66 (define @t815 () (@list @t808 @t807)) % 36.42/36.66 (define @t816 () (forall @t815 @t813)) % 36.42/36.66 (define @t817 () (forall @t815 @t812)) % 36.42/36.66 (define @t818 () (@var "BOUND_VARIABLE_9670" $$unsorted)) % 36.42/36.66 (define @t819 () (or @t776 @t817)) % 36.42/36.66 (define @t820 () (= (tptp.memberP (tptp.app @t1 @t818) @t2) (or @t120 (tptp.memberP @t818 @t2)))) % 36.42/36.66 (define @t821 () (not (tptp.ssList @t818))) % 36.42/36.66 (define @t822 () (or @t236 @t821 @t820)) % 36.42/36.66 (define @t823 () (@list @t1 @t818)) % 36.42/36.66 (define @t824 () (forall @t823 @t822)) % 36.42/36.66 (define @t825 () (or @t821 @t820)) % 36.42/36.66 (define @t826 () (or @t236 @t825)) % 36.42/36.66 (define @t827 () (forall @t823 @t826)) % 36.42/36.66 (define @t828 () (@list @t818)) % 36.42/36.66 (define @t829 () (forall @t828 @t826)) % 36.42/36.66 (define @t830 () (forall @t828 @t825)) % 36.42/36.66 (define @t831 () (or @t236 @t830)) % 36.42/36.66 (define @t832 () (forall @t16 (or @t477 @t121))) % 36.42/36.66 (define @t833 () (tptp.memberP @t287 @t316)) % 36.42/36.66 (define @t834 () (tptp.memberP @t322 @t316)) % 36.42/36.66 (define @t835 () (or @t834 @t833)) % 36.42/36.66 (define @t836 () (tptp.memberP @t323 @t316)) % 36.42/36.66 (define @t837 () (= @t836 @t835)) % 36.42/36.66 (define @t838 () (or @t623 @t359 @t293 @t837)) % 36.42/36.66 (define @t839 () (tptp.memberP @t317 @t316)) % 36.42/36.66 (define @t840 () (or (tptp.memberP @t321 @t316) @t839)) % 36.42/36.66 (define @t841 () (= @t834 @t840)) % 36.42/36.66 (define @t842 () (or @t623 @t641 @t640 @t841)) % 36.42/36.66 (define @t843 () (or @t839 @t833)) % 36.42/36.66 (define @t844 () (tptp.memberP @t736 @t316)) % 36.42/36.66 (define @t845 () (= @t844 @t843)) % 36.42/36.66 (define @t846 () (or @t623 @t640 @t293 @t845)) % 36.42/36.66 (define @t847 () (tptp.cons @t316 @t287)) % 36.42/36.66 (define @t848 () (tptp.memberP @t847 @t316)) % 36.42/36.66 (define @t849 () (or (= @t316 @t316) @t833)) % 36.42/36.66 (define @t850 () (= @t848 @t849)) % 36.42/36.66 (define @t851 () (or @t623 @t623 @t293 @t850)) % 36.42/36.66 (define @t852 () (forall @t780 @t777)) % 36.42/36.66 (define @t853 () (or @t623 @t623 @t293 @t848)) % 36.42/36.66 (define @t854 () (@var "BOUND_VARIABLE_10562" $$unsorted)) % 36.42/36.66 (define @t855 () (= (tptp.cons @t854 @t2) (tptp.app (tptp.cons @t854 tptp.nil) @t2))) % 36.42/36.66 (define @t856 () (not (tptp.ssItem @t854))) % 36.42/36.66 (define @t857 () (or @t856 @t855)) % 36.42/36.66 (define @t858 () (or @t241 @t857)) % 36.42/36.66 (define @t859 () (forall (@list @t2 @t854) @t858)) % 36.42/36.66 (define @t860 () (@list @t854)) % 36.42/36.66 (define @t861 () (forall @t860 @t858)) % 36.42/36.66 (define @t862 () (forall @t860 @t857)) % 36.42/36.66 (define @t863 () (or @t241 @t862)) % 36.42/36.66 (define @t864 () (forall @t7 (or @t314 @t154))) % 36.42/36.66 (define @t865 () (= @t847 @t736)) % 36.42/36.66 (define @t866 () (or @t293 @t623 @t865)) % 36.42/36.66 (define @t867 () (not @t836)) % 36.42/36.66 (define @t868 () (not @t803)) % 36.42/36.66 (define @t869 () (and @t615 @t868)) % 36.42/36.66 (define @t870 () (not @t800)) % 36.42/36.66 (define @t871 () (or @t623 @t870)) % 36.42/36.66 (define @t872 () (not @t735)) % 36.42/36.66 (define @t873 () (not @t684)) % 36.42/36.66 (define @t874 () (not @t699)) % 36.42/36.66 (define @t875 () (not @t760)) % 36.42/36.66 (define @t876 () (not @t766)) % 36.42/36.66 (define @t877 () (not @t769)) % 36.42/36.66 (define @t878 () (not @t801)) % 36.42/36.66 (define @t879 () (tptp.tl @t323)) % 36.42/36.66 (define @t880 () (tptp.hd @t323)) % 36.42/36.66 (define @t881 () (and @t615 @t801 @t769 @t766 @t760 @t671 @t699 @t684 @t756)) % 36.42/36.66 (define @t882 () (= @t2 @t171)) % 36.42/36.66 (define @t883 () (tptp.app @t323 tptp.nil)) % 36.42/36.66 (define @t884 () (= @t323 @t883)) % 36.42/36.66 (define @t885 () (or @t333 @t884)) % 36.42/36.66 (define @t886 () (and @t615 @t801 @t298 @t769 @t766 @t884 @t671 @t699 @t684)) % 36.42/36.66 (define @t887 () (not @t298)) % 36.42/36.66 (define @t888 () (@quantifiers_skolemize @t296 0)) % 36.42/36.66 (define @t889 () (@quantifiers_skolemize @t296 1)) % 36.42/36.66 (define @t890 () (tptp.cons @t889 @t888)) % 36.42/36.66 (define @t891 () (= @t287 @t890)) % 36.42/36.66 (define @t892 () (not @t891)) % 36.42/36.66 (define @t893 () (tptp.ssItem @t889)) % 36.42/36.66 (define @t894 () (not @t893)) % 36.42/36.66 (define @t895 () (tptp.ssList @t888)) % 36.42/36.66 (define @t896 () (not @t895)) % 36.42/36.66 (define @t897 () (or @t896 @t894 @t892)) % 36.42/36.66 (define @t898 () (not @t897)) % 36.42/36.66 (define @t899 () (not (= @t890 @t287))) % 36.42/36.66 (define @t900 () (or @t896 @t894 @t899)) % 36.42/36.66 (define @t901 () (not @t900)) % 36.42/36.66 (define @t902 () (@list @t897)) % 36.42/36.66 (define @t903 () (@var "BOUND_VARIABLE_9106" $$unsorted)) % 36.42/36.66 (define @t904 () (@var "BOUND_VARIABLE_9102" $$unsorted)) % 36.42/36.66 (define @t905 () (@var "BOUND_VARIABLE_9104" $$unsorted)) % 36.42/36.66 (define @t906 () (tptp.app @t905 (tptp.cons @t1 (tptp.cons @t904 @t903)))) % 36.42/36.66 (define @t907 () (not (= @t2 @t906))) % 36.42/36.66 (define @t908 () (not (tptp.ssList @t903))) % 36.42/36.66 (define @t909 () (not (tptp.ssList @t905))) % 36.42/36.66 (define @t910 () (= @t1 @t904)) % 36.42/36.66 (define @t911 () (not (tptp.ssItem @t904))) % 36.42/36.66 (define @t912 () (or @t314 @t911 @t910 @t909 @t908 @t907)) % 36.42/36.66 (define @t913 () (@list @t1 @t904 @t905 @t903)) % 36.42/36.66 (define @t914 () (= @t65 (forall @t913 @t912))) % 36.42/36.66 (define @t915 () (or @t911 @t910 @t909 @t908 @t907)) % 36.42/36.66 (define @t916 () (or @t314 @t915)) % 36.42/36.66 (define @t917 () (forall @t913 @t916)) % 36.42/36.66 (define @t918 () (@list @t904 @t905 @t903)) % 36.42/36.66 (define @t919 () (forall @t918 @t916)) % 36.42/36.66 (define @t920 () (forall @t918 @t915)) % 36.42/36.66 (define @t921 () (@var "BOUND_VARIABLE_9081" $$unsorted)) % 36.42/36.66 (define @t922 () (@var "BOUND_VARIABLE_9079" $$unsorted)) % 36.42/36.66 (define @t923 () (or @t314 @t920)) % 36.42/36.66 (define @t924 () (not (= @t2 (tptp.app @t922 (tptp.cons @t1 (tptp.cons @t12 @t921)))))) % 36.42/36.66 (define @t925 () (not (tptp.ssList @t921))) % 36.42/36.66 (define @t926 () (not (tptp.ssList @t922))) % 36.42/36.66 (define @t927 () (or @t253 @t38 @t926 @t925 @t924)) % 36.42/36.66 (define @t928 () (@list @t12 @t922 @t921)) % 36.42/36.66 (define @t929 () (forall @t928 @t927)) % 36.42/36.66 (define @t930 () (or @t926 @t925 @t924)) % 36.42/36.66 (define @t931 () (or @t253 @t38 @t930)) % 36.42/36.66 (define @t932 () (forall @t928 @t931)) % 36.42/36.66 (define @t933 () (@list @t922 @t921)) % 36.42/36.66 (define @t934 () (forall @t933 @t931)) % 36.42/36.66 (define @t935 () (forall @t933 @t930)) % 36.42/36.66 (define @t936 () (@var "BOUND_VARIABLE_9059" $$unsorted)) % 36.42/36.66 (define @t937 () (or @t253 @t38 @t935)) % 36.42/36.66 (define @t938 () (not (= @t2 (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t936)))))) % 36.42/36.66 (define @t939 () (not (tptp.ssList @t936))) % 36.42/36.66 (define @t940 () (or @t520 @t939 @t938)) % 36.42/36.66 (define @t941 () (@list @t10 @t936)) % 36.42/36.66 (define @t942 () (forall @t941 @t940)) % 36.42/36.66 (define @t943 () (or @t253 @t38 @t942)) % 36.42/36.66 (define @t944 () (or @t38 @t942)) % 36.42/36.66 (define @t945 () (or @t939 @t938)) % 36.42/36.66 (define @t946 () (or @t520 @t945)) % 36.42/36.66 (define @t947 () (forall @t941 @t946)) % 36.42/36.66 (define @t948 () (@list @t936)) % 36.42/36.66 (define @t949 () (forall @t948 @t946)) % 36.42/36.66 (define @t950 () (forall @t948 @t945)) % 36.42/36.66 (define @t951 () (or @t520 @t950)) % 36.42/36.66 (define @t952 () (= @t2 @t55)) % 36.42/36.66 (define @t953 () (not @t952)) % 36.42/36.66 (define @t954 () (not @t34)) % 36.42/36.66 (define @t955 () (or @t954 @t953)) % 36.42/36.66 (define @t956 () (forall @t35 @t955)) % 36.42/36.66 (define @t957 () (or @t520 @t956)) % 36.42/36.66 (define @t958 () (forall @t14 @t957)) % 36.42/36.66 (define @t959 () (or @t38 @t958)) % 36.42/36.66 (define @t960 () (or @t38 @t957)) % 36.42/36.66 (define @t961 () (or @t520 @t38 @t956)) % 36.42/36.66 (define @t962 () (or @t38 @t956)) % 36.42/36.66 (define @t963 () (or @t38 @t955)) % 36.42/36.66 (define @t964 () (or @t954 @t953 @t38)) % 36.42/36.66 (define @t965 () (=> @t952 @t38)) % 36.42/36.66 (define @t966 () (not (= @t323 @t906))) % 36.42/36.66 (define @t967 () (or @t314 @t911 @t910 @t909 @t908 @t966)) % 36.42/36.66 (define @t968 () (forall @t913 @t967)) % 36.42/36.66 (define @t969 () (tptp.equalelemsP @t323)) % 36.42/36.66 (define @t970 () (= @t969 @t968)) % 36.42/36.66 (define @t971 () (or @t333 @t970)) % 36.42/36.66 (define @t972 () (forall @t9 (or @t241 @t914))) % 36.42/36.66 (define @t973 () (forall @t913 (or @t314 @t911 @t910 @t909 @t908 (not (= @t906 @t323))))) % 36.42/36.66 (define @t974 () (= @t969 @t973)) % 36.42/36.66 (define @t975 () (or @t333 @t974)) % 36.42/36.66 (define @t976 () (@list @t613)) % 36.42/36.66 (define @t977 () (tptp.equalelemsP @t614)) % 36.42/36.66 (define @t978 () (or @t618 @t977)) % 36.42/36.66 (define @t979 () (tptp.app @t321 (tptp.cons @t316 @t890))) % 36.42/36.66 (define @t980 () (not (= @t979 @t323))) % 36.42/36.66 (define @t981 () (= @t316 @t889)) % 36.42/36.66 (define @t982 () (or @t623 @t894 @t981 @t641 @t896 @t980)) % 36.42/36.66 (define @t983 () (= @t323 @t979)) % 36.42/36.66 (define @t984 () (not @t983)) % 36.42/36.66 (define @t985 () (or @t623 @t894 @t981 @t641 @t896 @t984)) % 36.42/36.66 (define @t986 () (@var "BOUND_VARIABLE_10603" $$unsorted)) % 36.42/36.66 (define @t987 () (@var "BOUND_VARIABLE_10601" $$unsorted)) % 36.42/36.66 (define @t988 () (= (tptp.app (tptp.app @t2 @t987) @t986) (tptp.app @t2 (tptp.app @t987 @t986)))) % 36.42/36.66 (define @t989 () (not (tptp.ssList @t986))) % 36.42/36.66 (define @t990 () (not (tptp.ssList @t987))) % 36.42/36.66 (define @t991 () (or @t990 @t989 @t988)) % 36.42/36.66 (define @t992 () (or @t241 @t991)) % 36.42/36.66 (define @t993 () (forall (@list @t2 @t987 @t986) @t992)) % 36.42/36.66 (define @t994 () (@list @t987 @t986)) % 36.42/36.66 (define @t995 () (forall @t994 @t992)) % 36.42/36.66 (define @t996 () (forall @t994 @t991)) % 36.42/36.66 (define @t997 () (@var "BOUND_VARIABLE_10583" $$unsorted)) % 36.42/36.66 (define @t998 () (or @t241 @t996)) % 36.42/36.66 (define @t999 () (= (tptp.app @t103 @t997) (tptp.app @t2 (tptp.app @t1 @t997)))) % 36.42/36.66 (define @t1000 () (not (tptp.ssList @t997))) % 36.42/36.66 (define @t1001 () (or @t236 @t1000 @t999)) % 36.42/36.66 (define @t1002 () (@list @t1 @t997)) % 36.42/36.66 (define @t1003 () (forall @t1002 @t1001)) % 36.42/36.66 (define @t1004 () (or @t1000 @t999)) % 36.42/36.66 (define @t1005 () (or @t236 @t1004)) % 36.42/36.66 (define @t1006 () (forall @t1002 @t1005)) % 36.42/36.66 (define @t1007 () (@list @t997)) % 36.42/36.66 (define @t1008 () (forall @t1007 @t1005)) % 36.42/36.66 (define @t1009 () (forall @t1007 @t1004)) % 36.42/36.66 (define @t1010 () (or @t236 @t1009)) % 36.42/36.66 (define @t1011 () (forall @t16 (or @t477 @t158))) % 36.42/36.66 (define @t1012 () (tptp.app @t321 @t736)) % 36.42/36.66 (define @t1013 () (= @t323 @t1012)) % 36.42/36.66 (define @t1014 () (or @t641 @t640 @t293 @t1013)) % 36.42/36.66 (define @t1015 () (and @t865 @t1013 @t891)) % 36.42/36.66 (define @t1016 () (@var "BOUND_VARIABLE_9015" $$unsorted)) % 36.42/36.66 (define @t1017 () (@var "BOUND_VARIABLE_9013" $$unsorted)) % 36.42/36.66 (define @t1018 () (@var "BOUND_VARIABLE_9011" $$unsorted)) % 36.42/36.66 (define @t1019 () (tptp.app (tptp.app @t1018 (tptp.cons @t1 @t1017)) (tptp.cons @t1 @t1016))) % 36.42/36.66 (define @t1020 () (not (= @t2 @t1019))) % 36.42/36.66 (define @t1021 () (not (tptp.ssList @t1016))) % 36.42/36.66 (define @t1022 () (not (tptp.ssList @t1017))) % 36.42/36.66 (define @t1023 () (not (tptp.ssList @t1018))) % 36.42/36.66 (define @t1024 () (or @t314 @t1023 @t1022 @t1021 @t1020)) % 36.42/36.66 (define @t1025 () (@list @t1 @t1018 @t1017 @t1016)) % 36.42/36.66 (define @t1026 () (= @t51 (forall @t1025 @t1024))) % 36.42/36.66 (define @t1027 () (or @t1023 @t1022 @t1021 @t1020)) % 36.42/36.66 (define @t1028 () (or @t314 @t1027)) % 36.42/36.66 (define @t1029 () (forall @t1025 @t1028)) % 36.42/36.66 (define @t1030 () (@list @t1018 @t1017 @t1016)) % 36.42/36.66 (define @t1031 () (forall @t1030 @t1028)) % 36.42/36.66 (define @t1032 () (forall @t1030 @t1027)) % 36.42/36.66 (define @t1033 () (@var "BOUND_VARIABLE_8973" $$unsorted)) % 36.42/36.66 (define @t1034 () (@var "BOUND_VARIABLE_8971" $$unsorted)) % 36.42/36.66 (define @t1035 () (@var "BOUND_VARIABLE_8969" $$unsorted)) % 36.42/36.66 (define @t1036 () (@list @t1035 @t1034 @t1033)) % 36.42/36.66 (define @t1037 () (or @t314 @t1032)) % 36.42/36.66 (define @t1038 () (tptp.app @t1035 (tptp.cons @t1 @t1034))) % 36.42/36.66 (define @t1039 () (not (= @t2 (tptp.app @t1038 (tptp.cons @t1 @t1033))))) % 36.42/36.66 (define @t1040 () (not (tptp.ssList @t1033))) % 36.42/36.66 (define @t1041 () (not (tptp.ssList @t1034))) % 36.42/36.66 (define @t1042 () (not (tptp.ssList @t1035))) % 36.42/36.66 (define @t1043 () (or @t1042 @t1041 @t1040 @t1039)) % 36.42/36.66 (define @t1044 () (@list @t1035 @t1034 @t1033)) % 36.42/36.66 (define @t1045 () (or @t314 (forall @t1044 @t1043))) % 36.42/36.66 (define @t1046 () (or @t314 @t1043)) % 36.42/36.66 (define @t1047 () (or @t314 @t1042 @t1041 @t1040 @t1039)) % 36.42/36.66 (define @t1048 () (or @t314 @t514 @t1042 @t1041 @t1040 @t1039)) % 36.42/36.66 (define @t1049 () (not (= @t2 (tptp.app @t1038 (tptp.cons @t12 @t1033))))) % 36.42/36.66 (define @t1050 () (or @t39 @t253 @t39 @t1042 @t1041 @t1040 @t1049)) % 36.42/36.66 (define @t1051 () (or @t253 @t39 @t1042 @t1041 @t1040 @t1049)) % 36.42/36.66 (define @t1052 () (forall @t16 @t1051)) % 36.42/36.66 (define @t1053 () (forall @t1044 @t1052)) % 36.42/36.66 (define @t1054 () (forall (@list @t1035 @t1034 @t1033 @t12) @t1051)) % 36.42/36.66 (define @t1055 () (@list @t12 @t1035 @t1034 @t1033)) % 36.42/36.66 (define @t1056 () (or @t1042 @t1041 @t1040 @t1049)) % 36.42/36.66 (define @t1057 () (or @t253 @t39 @t1056)) % 36.42/36.66 (define @t1058 () (forall @t1055 @t1057)) % 36.42/36.66 (define @t1059 () (forall @t1044 @t1057)) % 36.42/36.66 (define @t1060 () (forall @t1044 @t1056)) % 36.42/36.66 (define @t1061 () (@var "BOUND_VARIABLE_8510" $$unsorted)) % 36.42/36.66 (define @t1062 () (@var "BOUND_VARIABLE_8508" $$unsorted)) % 36.42/36.66 (define @t1063 () (or @t253 @t39 @t1060)) % 36.42/36.66 (define @t1064 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t1062)) (tptp.cons @t12 @t1061))))) % 36.42/36.66 (define @t1065 () (not (tptp.ssList @t1061))) % 36.42/36.66 (define @t1066 () (not (tptp.ssList @t1062))) % 36.42/36.66 (define @t1067 () (or @t520 @t1066 @t1065 @t1064)) % 36.42/36.66 (define @t1068 () (@list @t10 @t1062 @t1061)) % 36.42/36.66 (define @t1069 () (forall @t1068 @t1067)) % 36.42/36.66 (define @t1070 () (or @t253 @t39 @t1069)) % 36.42/36.66 (define @t1071 () (or @t39 @t1069)) % 36.42/36.66 (define @t1072 () (or @t1066 @t1065 @t1064)) % 36.42/36.66 (define @t1073 () (or @t520 @t1072)) % 36.42/36.66 (define @t1074 () (forall @t1068 @t1073)) % 36.42/36.66 (define @t1075 () (@list @t1062 @t1061)) % 36.42/36.66 (define @t1076 () (forall @t1075 @t1073)) % 36.42/36.66 (define @t1077 () (forall @t1075 @t1072)) % 36.42/36.66 (define @t1078 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 36.42/36.66 (define @t1079 () (or @t520 @t1077)) % 36.42/36.66 (define @t1080 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t1078))))) % 36.42/36.66 (define @t1081 () (not (tptp.ssList @t1078))) % 36.42/36.66 (define @t1082 () (or @t954 @t1081 @t1080)) % 36.42/36.66 (define @t1083 () (@list @t28 @t1078)) % 36.42/36.66 (define @t1084 () (forall @t1083 @t1082)) % 36.42/36.66 (define @t1085 () (or @t520 @t1084)) % 36.42/36.66 (define @t1086 () (forall @t14 @t1085)) % 36.42/36.66 (define @t1087 () (or @t39 @t1086)) % 36.42/36.66 (define @t1088 () (or @t39 @t1085)) % 36.42/36.66 (define @t1089 () (or @t520 @t39 @t1084)) % 36.42/36.66 (define @t1090 () (or @t39 @t1084)) % 36.42/36.66 (define @t1091 () (or @t1081 @t1080)) % 36.42/36.66 (define @t1092 () (or @t954 @t1091)) % 36.42/36.66 (define @t1093 () (forall @t1083 @t1092)) % 36.42/36.66 (define @t1094 () (@list @t1078)) % 36.42/36.66 (define @t1095 () (forall @t1094 @t1092)) % 36.42/36.66 (define @t1096 () (forall @t1094 @t1091)) % 36.42/36.66 (define @t1097 () (or @t954 @t1096)) % 36.42/36.66 (define @t1098 () (= @t2 @t30)) % 36.42/36.66 (define @t1099 () (not @t1098)) % 36.42/36.66 (define @t1100 () (not @t32)) % 36.42/36.66 (define @t1101 () (or @t1100 @t1099)) % 36.42/36.66 (define @t1102 () (forall @t33 @t1101)) % 36.42/36.66 (define @t1103 () (or @t954 @t1102)) % 36.42/36.66 (define @t1104 () (forall @t35 @t1103)) % 36.42/36.66 (define @t1105 () (or @t39 @t1104)) % 36.42/36.66 (define @t1106 () (or @t39 @t1103)) % 36.42/36.66 (define @t1107 () (or @t954 @t39 @t1102)) % 36.42/36.66 (define @t1108 () (or @t39 @t1102)) % 36.42/36.66 (define @t1109 () (or @t39 @t1101)) % 36.42/36.66 (define @t1110 () (or @t1100 @t1099 @t39)) % 36.42/36.66 (define @t1111 () (=> @t1098 @t39)) % 36.42/36.66 (define @t1112 () (not (= @t323 @t1019))) % 36.42/36.66 (define @t1113 () (or @t314 @t1023 @t1022 @t1021 @t1112)) % 36.42/36.66 (define @t1114 () (forall @t1025 @t1113)) % 36.42/36.66 (define @t1115 () (tptp.duplicatefreeP @t323)) % 36.42/36.66 (define @t1116 () (= @t1115 @t1114)) % 36.42/36.66 (define @t1117 () (or @t333 @t1116)) % 36.42/36.66 (define @t1118 () (forall @t9 (or @t241 @t1026))) % 36.42/36.66 (define @t1119 () (forall @t1025 (or @t314 @t1023 @t1022 @t1021 (not (= @t1019 @t323))))) % 36.42/36.66 (define @t1120 () (= @t1115 @t1119)) % 36.42/36.66 (define @t1121 () (or @t333 @t1120)) % 36.42/36.66 (define @t1122 () (tptp.duplicatefreeP @t614)) % 36.42/36.66 (define @t1123 () (or @t618 @t1122)) % 36.42/36.66 (define @t1124 () (tptp.app @t322 (tptp.cons @t316 @t888))) % 36.42/36.66 (define @t1125 () (not (= @t1124 @t323))) % 36.42/36.66 (define @t1126 () (or @t623 @t641 @t630 @t896 @t1125)) % 36.42/36.66 (define @t1127 () (= @t323 @t1124)) % 36.42/36.66 (define @t1128 () (not @t1127)) % 36.42/36.66 (define @t1129 () (or @t623 @t641 @t630 @t896 @t1128)) % 36.42/36.66 (define @t1130 () (not @t981)) % 36.42/36.66 (define @t1131 () (and @t1128 @t1127)) % 36.42/36.66 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 36.42/36.66 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 36.42/36.66 (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))))))))))) % 36.42/36.66 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 36.42/36.66 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 36.42/36.66 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 36.42/36.66 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 36.42/36.66 (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))))))))))))))))) % 36.42/36.66 (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)))))))))))))))) % 36.42/36.66 (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))))))))))))))))) % 36.42/36.66 (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))))))))))))))) % 36.42/36.66 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t37))))))))))))))) % 36.42/36.66 (assume @p13 @t54) % 36.42/36.66 (assume @p14 @t68) % 36.42/36.66 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 36.42/36.66 (assume @p16 @t73) % 36.42/36.66 (assume @p17 @t74) % 36.42/36.66 (assume @p18 @t79) % 36.42/36.66 (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) @t80))))))))))) % 36.42/36.66 (assume @p20 @t89) % 36.42/36.66 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t69))))))) % 36.42/36.66 (assume @p22 (forall @t9 (=> @t17 (=> @t91 (tptp.ssItem @t90))))) % 36.42/36.66 (assume @p23 @t96) % 36.42/36.66 (assume @p24 (forall @t9 (=> @t17 (=> @t91 (tptp.ssList @t97))))) % 36.42/36.66 (assume @p25 @t102) % 36.42/36.66 (assume @p26 @t107) % 36.42/36.66 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (= (tptp.cons @t12 @t108) (tptp.app @t81 @t2))))))))) % 36.42/36.66 (assume @p28 @t111) % 36.42/36.66 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t113 @t112) @t3)))))) % 36.42/36.66 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t113 @t26) (tptp.leq @t2 @t12))))))))) % 36.42/36.66 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 36.42/36.66 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t114 @t112)))))) % 36.42/36.66 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t116 (not @t115))))))) % 36.42/36.66 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t116 @t37) @t117)))))))) % 36.42/36.66 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t118 @t115)))))) % 36.42/36.66 (assume @p36 @t126) % 36.42/36.66 (assume @p37 @t132) % 36.42/36.66 (assume @p38 @t134) % 36.42/36.66 (assume @p39 (not (tptp.singletonP tptp.nil))) % 36.42/36.66 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 36.42/36.66 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 36.42/36.66 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 36.42/36.66 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 36.42/36.66 (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)))))))))))) % 36.42/36.66 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 36.42/36.66 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t86)))) % 36.42/36.66 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 36.42/36.66 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 36.42/36.66 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 36.42/36.66 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t135 @t1))))))))) % 36.42/36.66 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 36.42/36.66 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t86)))) % 36.42/36.66 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 36.42/36.66 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 36.42/36.66 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 36.42/36.66 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t135 @t10) @t1))))))))))) % 36.42/36.66 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 36.42/36.66 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t86)))) % 36.42/36.66 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t136)))) % 36.42/36.66 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 36.42/36.66 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t136)))) % 36.42/36.66 (assume @p62 (tptp.totalorderP tptp.nil)) % 36.42/36.66 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t136)))) % 36.42/36.66 (assume @p64 (tptp.strictorderP tptp.nil)) % 36.42/36.66 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t136)))) % 36.42/36.66 (assume @p66 (tptp.totalorderedP tptp.nil)) % 36.42/36.66 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t140) (or @t138 (and @t139 (tptp.totalorderedP @t1) (tptp.leq @t2 @t137))))))))) % 36.42/36.66 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t136)))) % 36.42/36.66 (assume @p69 (tptp.strictorderedP tptp.nil)) % 36.42/36.66 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t140) (or @t138 (and @t139 (tptp.strictorderedP @t1) (tptp.lt @t2 @t137))))))))) % 36.42/36.66 (assume @p71 @t142) % 36.42/36.66 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 36.42/36.66 (assume @p73 @t144) % 36.42/36.66 (assume @p74 (tptp.equalelemsP tptp.nil)) % 36.42/36.66 (assume @p75 (forall @t9 (=> @t17 (=> @t91 (exists @t7 (and @t6 (= @t90 @t1))))))) % 36.42/36.66 (assume @p76 (forall @t9 (=> @t17 (=> @t91 (exists @t7 (and @t21 (= @t97 @t1))))))) % 36.42/36.66 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t139 @t91 (= @t137 @t90) (= (tptp.tl @t1) @t97)) @t80)))))) % 36.42/36.66 (assume @p78 (forall @t9 (=> @t17 (=> @t91 (= (tptp.cons @t90 @t97) @t2))))) % 36.42/36.66 (assume @p79 @t153) % 36.42/36.66 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t108) @t145)))))))) % 36.42/36.66 (assume @p81 @t157) % 36.42/36.66 (assume @p82 @t163) % 36.42/36.66 (assume @p83 @t170) % 36.42/36.66 (assume @p84 @t173) % 36.42/36.66 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t91 (= (tptp.hd @t103) @t90))))))) % 36.42/36.66 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t91 (= (tptp.tl @t103) (tptp.app @t97 @t1)))))))) % 36.42/36.66 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t114 (tptp.geq @t1 @t2)) @t3)))))) % 36.42/36.66 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t114 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 36.42/36.66 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 36.42/36.66 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 36.42/36.66 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t113 @t37) @t117)))))))) % 36.42/36.66 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t113 (or @t3 @t116))))))) % 36.42/36.66 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t116 (and @t4 @t113))))))) % 36.42/36.66 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t118 (not (tptp.gt @t1 @t2)))))))) % 36.42/36.66 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t118 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 36.42/36.66 (assume @p96 @t231) % 36.42/36.66 (assume @p97 true) % 36.42/36.66 (step @p98 :rule aci_norm :args ((= (or @t241 @t243) @t242))) % 36.42/36.66 (step @p99 :rule bool-impl-elim :args (@t17 @t243)) % 36.42/36.66 (step @p100 :rule trans :premises (@p99 @p98)) % 36.42/36.66 (step @p101 :rule cong :premises (@p100) :args ((forall @t9 (=> @t17 @t243)))) % 36.42/36.66 (step @p102 :rule aci_norm :args ((= @t245 @t237))) % 36.42/36.66 (step @p103 :rule cong :premises (@p102) :args (@t246)) % 36.42/36.66 (step @p104 :rule quant-merge-prenex :args ((= (forall @t7 @t248) @t246))) % 36.42/36.66 (step @p105 :rule alpha_equiv :args (@t249 (@list @t232) @t250)) % 36.42/36.66 (step @p106 :rule refl :args (@t236)) % 36.42/36.66 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t251)) % 36.42/36.66 (step @p108 :rule quant-miniscope-or :args ((= @t248 @t251))) % 36.42/36.66 (step @p109 :rule trans :premises (@p108 @p107)) % 36.42/36.66 (step @p110 :rule symm :premises (@p109)) % 36.42/36.66 (step @p111 :rule cong :premises (@p110) :args ((forall @t7 (or @t236 @t254)))) % 36.42/36.66 (step @p112 :rule trans :premises (@p111 @p104)) % 36.42/36.66 (step @p113 :rule trans :premises (@p112 @p103)) % 36.42/36.66 (step @p114 :rule bool-double-not-elim :args (@t254)) % 36.42/36.66 (step @p115 :rule nary_cong :premises (@p106 @p114) :args ((or @t236 (not @t255)))) % 36.42/36.66 (step @p116 :rule bool-and-de-morgan :args (@t21 @t255 true)) % 36.42/36.66 (step @p117 :rule trans :premises (@p116 @p115)) % 36.42/36.66 (step @p118 :rule cong :premises (@p117) :args (@t257)) % 36.42/36.66 (step @p119 :rule trans :premises (@p118 @p113)) % 36.42/36.66 (step @p120 :rule cong :premises (@p119) :args (@t258)) % 36.42/36.66 (step @p121 :rule exists-elim :args ((= (exists @t7 @t256) @t258))) % 36.42/36.66 (step @p122 :rule trans :premises (@p121 @p120)) % 36.42/36.66 (step @p123 :rule bool-and-de-morgan :args (@t36 @t252 true)) % 36.42/36.66 (step @p124 :rule cong :premises (@p123) :args (@t260)) % 36.42/36.66 (step @p125 :rule cong :premises (@p124) :args (@t261)) % 36.42/36.66 (step @p126 :rule exists-elim :args ((= (exists @t16 @t259) @t261))) % 36.42/36.66 (step @p127 :rule trans :premises (@p126 @p125)) % 36.42/36.66 (step @p128 :rule eq-symm :args (@t81 @t2)) % 36.42/36.66 (step @p129 :rule refl :args (@t36)) % 36.42/36.66 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t82)) % 36.42/36.66 (step @p131 :rule cong :premises (@p130) :args (@t83)) % 36.42/36.66 (step @p132 :rule trans :premises (@p131 @p127)) % 36.42/36.66 (step @p133 :rule refl :args (@t21)) % 36.42/36.66 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t84)) % 36.42/36.66 (step @p135 :rule cong :premises (@p134) :args (@t85)) % 36.42/36.66 (step @p136 :rule trans :premises (@p135 @p122)) % 36.42/36.66 (step @p137 :rule eq-symm :args (tptp.nil @t2)) % 36.42/36.66 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t87)) % 36.42/36.66 (step @p139 :rule refl :args (@t17)) % 36.42/36.66 (step @p140 :rule cong :premises (@p139 @p138) :args (@t88)) % 36.42/36.66 (step @p141 :rule cong :premises (@p140) :args (@t89)) % 36.42/36.66 (step @p142 :rule trans :premises (@p141 @p101)) % 36.42/36.66 (step @p143 :rule eq_resolve :premises (@p20 @p142)) % 36.42/36.66 (step @p144 :rule eq-symm :args (@t287 @t233)) % 36.42/36.66 (step @p145 :rule cong :premises (@p144) :args (@t288)) % 36.42/36.66 (step @p146 :rule refl :args (@t235)) % 36.42/36.66 (step @p147 :rule refl :args (@t236)) % 36.42/36.66 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args (@t289)) % 36.42/36.66 (step @p149 :rule cong :premises (@p148) :args (@t290)) % 36.42/36.66 (step @p150 :rule cong :premises (@p149) :args (@t291)) % 36.42/36.66 (step @p151 :rule eq-symm :args (@t287 tptp.nil)) % 36.42/36.66 (step @p152 :rule refl :args (@t293)) % 36.42/36.66 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args (@t294)) % 36.42/36.66 (step @p154 :rule refl :args (@t295)) % 36.42/36.66 (step @p155 :rule cong :premises (@p154 @p153) :args ((=> @t295 @t294))) % 36.42/36.66 (assume-push @p1833 @t295) % 36.42/36.66 (step @p157 :rule instantiate :premises (@p143) :args ((@list @t287))) % 36.42/36.66 (step-pop @p1834 :rule scope :premises (@p157)) % 36.42/36.66 (step @p158 :rule process_scope :premises (@p1834) :args (@t294)) % 36.42/36.66 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 36.42/36.66 (step @p161 :rule implies_elim :premises (@p160)) % 36.42/36.66 (step @p162 :rule chain_m_resolution :premises (@p161 @p143) :args (@t299 @t300 @t301)) % 36.42/36.66 (step @p163 :rule aci_norm :args ((= @t306 (or @t241 @t304 @t303)))) % 36.42/36.66 (step @p164 :rule cong :premises (@p163) :args (@t307)) % 36.42/36.66 (step @p165 :rule quant-merge-prenex :args ((= (forall @t9 @t309) @t307))) % 36.42/36.66 (step @p166 :rule alpha_equiv :args (@t310 (@list @t302) @t311)) % 36.42/36.66 (step @p167 :rule refl :args (@t241)) % 36.42/36.66 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t312)) % 36.42/36.66 (step @p169 :rule quant-miniscope-or :args ((= @t309 @t312))) % 36.42/36.66 (step @p170 :rule trans :premises (@p169 @p168)) % 36.42/36.66 (step @p171 :rule symm :premises (@p170)) % 36.42/36.66 (step @p172 :rule cong :premises (@p171) :args ((forall @t9 (or @t241 @t315)))) % 36.42/36.66 (step @p173 :rule trans :premises (@p172 @p165)) % 36.42/36.66 (step @p174 :rule trans :premises (@p173 @p164)) % 36.42/36.66 (step @p175 :rule bool-impl-elim :args (@t17 @t315)) % 36.42/36.66 (step @p176 :rule cong :premises (@p175) :args ((forall @t9 (=> @t17 @t315)))) % 36.42/36.66 (step @p177 :rule trans :premises (@p176 @p174)) % 36.42/36.66 (step @p178 :rule bool-impl-elim :args (@t6 @t313)) % 36.42/36.66 (step @p179 :rule cong :premises (@p178) :args ((forall @t7 (=> @t6 @t313)))) % 36.42/36.66 (step @p180 :rule eq-symm :args (@t92 @t1)) % 36.42/36.66 (step @p181 :rule refl :args (@t6)) % 36.42/36.66 (step @p182 :rule cong :premises (@p181 @p180) :args (@t93)) % 36.42/36.66 (step @p183 :rule cong :premises (@p182) :args (@t94)) % 36.42/36.66 (step @p184 :rule trans :premises (@p183 @p179)) % 36.42/36.66 (step @p185 :rule cong :premises (@p139 @p184) :args (@t95)) % 36.42/36.66 (step @p186 :rule cong :premises (@p185) :args (@t96)) % 36.42/36.66 (step @p187 :rule trans :premises (@p186 @p177)) % 36.42/36.66 (step @p188 :rule eq_resolve :premises (@p23 @p187)) % 36.42/36.66 (step @p189 :rule instantiate :premises (@p188) :args (@t327)) % 36.42/36.66 (step @p190 :rule eq-symm :args (@t323 @t233)) % 36.42/36.66 (step @p191 :rule cong :premises (@p190) :args (@t328)) % 36.42/36.66 (step @p192 :rule nary_cong :premises (@p147 @p146 @p191) :args (@t329)) % 36.42/36.66 (step @p193 :rule cong :premises (@p192) :args (@t330)) % 36.42/36.66 (step @p194 :rule cong :premises (@p193) :args (@t331)) % 36.42/36.66 (step @p195 :rule eq-symm :args (@t323 tptp.nil)) % 36.42/36.66 (step @p196 :rule refl :args (@t333)) % 36.42/36.66 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194) :args (@t334)) % 36.42/36.66 (step @p198 :rule cong :premises (@p154 @p197) :args ((=> @t295 @t334))) % 36.42/36.66 (assume-push @p1835 @t295) % 36.42/36.66 (step @p200 :rule instantiate :premises (@p143) :args (@t335)) % 36.42/36.66 (step-pop @p1836 :rule scope :premises (@p200)) % 36.42/36.66 (step @p201 :rule process_scope :premises (@p1836) :args (@t334)) % 36.42/36.66 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 36.42/36.66 (step @p204 :rule implies_elim :premises (@p203)) % 36.42/36.66 (step @p205 :rule chain_m_resolution :premises (@p204 @p143) :args (@t338 @t300 @t301)) % 36.42/36.66 (step @p206 :rule refl :args (@t240)) % 36.42/36.66 (step @p207 :rule eq-symm :args (@t339 tptp.nil)) % 36.42/36.66 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t340)) % 36.42/36.66 (step @p209 :rule refl :args (@t341)) % 36.42/36.66 (step @p210 :rule cong :premises (@p209 @p208) :args (@t342)) % 36.42/36.66 (step @p211 :rule refl :args (@t343)) % 36.42/36.66 (step @p212 :rule refl :args (@t241)) % 36.42/36.66 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210) :args (@t344)) % 36.42/36.66 (step @p214 :rule aci_norm :args ((= @t346 @t344))) % 36.42/36.66 (step @p215 :rule trans :premises (@p214 @p213)) % 36.42/36.66 (step @p216 :rule cong :premises (@p215) :args (@t348)) % 36.42/36.66 (step @p217 :rule quant-merge-prenex :args ((= (forall @t9 @t350) @t348))) % 36.42/36.66 (step @p218 :rule alpha_equiv :args (@t351 (@list @t339) @t311)) % 36.42/36.66 (step @p219 :rule nary_cong :premises (@p167 @p218) :args (@t352)) % 36.42/36.66 (step @p220 :rule quant-miniscope-or :args ((= @t350 @t352))) % 36.42/36.66 (step @p221 :rule trans :premises (@p220 @p219)) % 36.42/36.66 (step @p222 :rule symm :premises (@p221)) % 36.42/36.66 (step @p223 :rule cong :premises (@p222) :args ((forall @t9 (or @t241 @t355)))) % 36.42/36.66 (step @p224 :rule trans :premises (@p223 @p217)) % 36.42/36.66 (step @p225 :rule trans :premises (@p224 @p216)) % 36.42/36.66 (step @p226 :rule bool-impl-elim :args (@t17 @t355)) % 36.42/36.66 (step @p227 :rule cong :premises (@p226) :args ((forall @t9 (=> @t17 @t355)))) % 36.42/36.66 (step @p228 :rule trans :premises (@p227 @p225)) % 36.42/36.66 (step @p229 :rule bool-impl-elim :args (@t21 @t354)) % 36.42/36.66 (step @p230 :rule cong :premises (@p229) :args ((forall @t7 (=> @t21 @t354)))) % 36.42/36.66 (step @p231 :rule eq-symm :args (tptp.nil @t1)) % 36.42/36.66 (step @p232 :rule nary_cong :premises (@p231 @p137) :args (@t164)) % 36.42/36.66 (step @p233 :rule refl :args (@t165)) % 36.42/36.66 (step @p234 :rule cong :premises (@p233 @p232) :args (@t166)) % 36.42/36.66 (step @p235 :rule cong :premises (@p133 @p234) :args (@t167)) % 36.42/36.66 (step @p236 :rule cong :premises (@p235) :args (@t168)) % 36.42/36.66 (step @p237 :rule trans :premises (@p236 @p230)) % 36.42/36.66 (step @p238 :rule cong :premises (@p139 @p237) :args (@t169)) % 36.42/36.66 (step @p239 :rule cong :premises (@p238) :args (@t170)) % 36.42/36.66 (step @p240 :rule trans :premises (@p239 @p228)) % 36.42/36.66 (step @p241 :rule eq_resolve :premises (@p83 @p240)) % 36.42/36.66 (step @p242 :rule eq-symm :args (@t322 tptp.nil)) % 36.42/36.66 (step @p243 :rule refl :args (@t298)) % 36.42/36.66 (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t356)) % 36.42/36.66 (step @p245 :rule refl :args (@t337)) % 36.42/36.66 (step @p246 :rule cong :premises (@p245 @p244) :args (@t357)) % 36.42/36.66 (step @p247 :rule refl :args (@t359)) % 36.42/36.66 (step @p248 :rule nary_cong :premises (@p247 @p152 @p246) :args (@t360)) % 36.42/36.66 (step @p249 :rule refl :args (@t361)) % 36.42/36.66 (step @p250 :rule cong :premises (@p249 @p248) :args ((=> @t361 @t360))) % 36.42/36.66 (assume-push @p1837 @t361) % 36.42/36.66 (step @p252 :rule instantiate :premises (@p241) :args ((@list @t322 @t287))) % 36.42/36.66 (step-pop @p1838 :rule scope :premises (@p252)) % 36.42/36.66 (step @p253 :rule process_scope :premises (@p1838) :args (@t360)) % 36.42/36.66 (step @p255 :rule eq_resolve :premises (@p253 @p250)) % 36.42/36.66 (step @p256 :rule implies_elim :premises (@p255)) % 36.42/36.66 (step @p257 :rule chain_m_resolution :premises (@p256 @p241) :args (@t365 @t300 @t366)) % 36.42/36.66 (step @p258 :rule aci_norm :args ((= @t371 (or @t241 @t369 @t368)))) % 36.42/36.66 (step @p259 :rule cong :premises (@p258) :args (@t372)) % 36.42/36.66 (step @p260 :rule quant-merge-prenex :args ((= (forall @t9 @t374) @t372))) % 36.42/36.66 (step @p261 :rule alpha_equiv :args (@t375 (@list @t367) @t311)) % 36.42/36.66 (step @p262 :rule nary_cong :premises (@p167 @p261) :args (@t376)) % 36.42/36.66 (step @p263 :rule quant-miniscope-or :args ((= @t374 @t376))) % 36.42/36.66 (step @p264 :rule trans :premises (@p263 @p262)) % 36.42/36.66 (step @p265 :rule symm :premises (@p264)) % 36.42/36.66 (step @p266 :rule cong :premises (@p265) :args ((forall @t9 (or @t241 @t377)))) % 36.42/36.66 (step @p267 :rule trans :premises (@p266 @p260)) % 36.42/36.66 (step @p268 :rule trans :premises (@p267 @p259)) % 36.42/36.66 (step @p269 :rule bool-impl-elim :args (@t17 @t377)) % 36.42/36.66 (step @p270 :rule cong :premises (@p269) :args ((forall @t9 (=> @t17 @t377)))) % 36.42/36.66 (step @p271 :rule trans :premises (@p270 @p268)) % 36.42/36.66 (step @p272 :rule bool-impl-elim :args (@t21 @t104)) % 36.42/36.66 (step @p273 :rule cong :premises (@p272) :args (@t105)) % 36.42/36.66 (step @p274 :rule cong :premises (@p139 @p273) :args (@t106)) % 36.42/36.66 (step @p275 :rule cong :premises (@p274) :args (@t107)) % 36.42/36.66 (step @p276 :rule trans :premises (@p275 @p271)) % 36.42/36.66 (step @p277 :rule eq_resolve 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(step @p291 :rule cong :premises (@p290) :args ((forall @t9 (=> @t17 @t389)))) % 36.42/36.66 (step @p292 :rule trans :premises (@p291 @p289)) % 36.42/36.66 (step @p293 :rule bool-impl-elim :args (@t6 @t70)) % 36.42/36.66 (step @p294 :rule cong :premises (@p293) :args (@t71)) % 36.42/36.66 (step @p295 :rule cong :premises (@p139 @p294) :args (@t72)) % 36.42/36.66 (step @p296 :rule cong :premises (@p295) :args (@t73)) % 36.42/36.66 (step @p297 :rule trans :premises (@p296 @p292)) % 36.42/36.66 (step @p298 :rule eq_resolve :premises (@p16 @p297)) % 36.42/36.66 (step @p299 :rule instantiate :premises (@p298) :args (@t390)) % 36.42/36.66 (step @p300 :rule aci_norm :args ((= (or @t283 @t282 @t281 @t280 @t279 @t278 false @t277 @t276) @t284))) % 36.42/36.66 (step @p301 :rule eq-symm :args (@t266 tptp.nil)) % 36.42/36.66 (step @p302 :rule cong :premises (@p301) :args (@t391)) % 36.42/36.66 (step @p303 :rule refl :args (@t268)) % 36.42/36.66 (step @p304 :rule nary_cong :premises (@p303 @p302) 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@p1896 @t769) % 36.42/36.66 (assume-push @p1897 @t766) % 36.42/36.66 (assume-push @p1898 @t884) % 36.42/36.66 (assume-push @p1899 @t671) % 36.42/36.66 (assume-push @p1900 @t699) % 36.42/36.66 (assume-push @p1901 @t684) % 36.42/36.66 (assume-push @p1902 @t801) % 36.42/36.66 (assume-push @p1903 @t769) % 36.42/36.66 (assume-push @p1904 @t615) % 36.42/36.66 (assume-push @p1905 @t671) % 36.42/36.66 (assume-push @p1906 @t684) % 36.42/36.66 (assume-push @p1907 @t766) % 36.42/36.66 (assume-push @p1908 @t699) % 36.42/36.66 (assume-push @p1909 @t298) % 36.42/36.66 (assume-push @p1910 @t884) % 36.42/36.66 (step @p1295 :rule refl :args (@t287)) % 36.42/36.66 (step @p1296 :rule symm :premises (@p974)) % 36.42/36.66 (step @p1297 :rule cong :premises (@p1147) :args (@t879)) % 36.42/36.66 (step @p1215 :rule symm :premises (@p941)) % 36.42/36.66 (step @p1298 :rule cong :premises (@p1215) :args (@t698)) % 36.42/36.66 (step @p1299 :rule trans :premises (@p835 @p1298 @p1297 @p1296)) % 36.42/36.66 (step 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(step-pop @p1924 :rule scope :premises (@p1923)) % 36.42/36.66 (step-pop @p1925 :rule scope :premises (@p1924)) % 36.42/36.66 (step-pop @p1926 :rule scope :premises (@p1925)) % 36.42/36.66 (step-pop @p1927 :rule scope :premises (@p1926)) % 36.42/36.66 (step-pop @p1928 :rule scope :premises (@p1927)) % 36.42/36.66 (step @p1325 :rule process_scope :premises (@p1928) :args (@t740)) % 36.42/36.66 (step @p1335 :rule implies_elim :premises (@p1325)) % 36.42/36.66 (step @p1336 :rule cnf_and_neg :args (@t886)) % 36.42/36.66 (step @p1337 :rule resolution :premises (@p1336 @p1335) :args (true @t886)) % 36.42/36.66 (step @p1338 :rule reordering :premises (@p1337) :args ((or @t616 @t878 @t887 @t877 @t876 (not @t884) @t672 @t740 @t874 @t873))) % 36.42/36.66 (step @p1339 :rule chain_m_resolution :premises (@p1338 @p1147 @p1185 @p978 @p974 @p1276 @p941 @p1265 @p835 @p807) :args (@t887 (@list false false false false false false true false false) (@list @t615 @t801 @t769 @t766 @t884 @t671 @t740 @t699 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@p1776 :rule eq-symm :args (@t1124 @t323)) % 36.42/36.67 (step @p1777 :rule cong :premises (@p1776) :args (@t1125)) % 36.42/36.67 (step @p1778 :rule refl :args (@t630)) % 36.42/36.67 (step @p1779 :rule nary_cong :premises (@p1087 @p710 @p1778 @p1349 @p1777) :args (@t1126)) % 36.42/36.67 (step @p1780 :rule refl :args (@t1119)) % 36.42/36.67 (step @p1781 :rule cong :premises (@p1780 @p1779) :args ((=> @t1119 @t1126))) % 36.42/36.67 (assume-push @p1949 @t1119) % 36.42/36.67 (step @p1783 :rule instantiate :premises (@p1775) :args ((@list @t316 @t321 tptp.nil @t888))) % 36.42/36.67 (step-pop @p1950 :rule scope :premises (@p1783)) % 36.42/36.67 (step @p1784 :rule process_scope :premises (@p1950) :args (@t1126)) % 36.42/36.67 (step @p1786 :rule eq_resolve :premises (@p1784 @p1781)) % 36.42/36.67 (step @p1787 :rule implies_elim :premises (@p1786)) % 36.42/36.67 (step @p1788 :rule chain_m_resolution :premises (@p1787 @p1775) :args (@t1129 @t300 (@list @t1119))) % 36.42/36.67 (step @p1789 :rule cnf_or_pos :args (@t1129)) % 36.42/36.67 (step @p1790 :rule reordering :premises (@p1789) :args ((or @t630 @t623 @t641 @t896 @t1128 (not @t1129)))) % 36.42/36.67 (step @p1791 :rule chain_m_resolution :premises (@p1790 @p17 @p668 @p691 @p1587 @p1788) :args (@t1128 (@list false false false false false) (@list @t74 @t609 @t637 @t895 @t1129))) % 36.42/36.67 (step @p1792 :rule bool-double-not-elim :args (@t1127)) % 36.42/36.67 (step @p1793 :rule refl :args (@t1130)) % 36.42/36.67 (step @p1794 :rule refl :args (@t892)) % 36.42/36.67 (step @p1795 :rule nary_cong :premises (@p1794 @p1793 @p1792) :args ((or @t892 @t1130 (not @t1128)))) % 36.42/36.67 (assume-push @p1951 @t1128) % 36.42/36.67 (assume-push @p1952 @t1127) % 36.42/36.67 (step @p1798 :rule evaluate :args ((= true false))) % 36.42/36.67 (step @p1799 :rule false_intro :premises (@p1951)) % 36.42/36.67 (step @p1800 :rule true_intro :premises (@p1952)) % 36.42/36.67 (step @p1801 :rule symm :premises (@p1800)) % 36.42/36.67 (step @p1802 :rule trans :premises (@p1801 @p1799)) % 36.42/36.67 (step @p1803 false :rule eq_resolve :premises (@p1802 @p1798)) % 36.42/36.67 (step-pop @p1953 :rule scope :premises (@p1803)) % 36.42/36.67 (step-pop @p1954 :rule scope :premises (@p1953)) % 36.42/36.67 (step @p1804 :rule process_scope :premises (@p1954) :args (false)) % 36.42/36.67 (assume-push @p1955 @t891) % 36.42/36.67 (assume-push @p1956 @t981) % 36.42/36.67 (assume-push @p1957 @t1128) % 36.42/36.67 (assume-push @p1958 @t981) % 36.42/36.67 (assume-push @p1959 @t891) % 36.42/36.67 (step @p1812 :rule refl :args (@t888)) % 36.42/36.67 (step @p1813 :rule symm :premises (@p1956)) % 36.42/36.67 (step @p1814 :rule cong :premises (@p1813 @p1812) :args (@t890)) % 36.42/36.67 (step @p1815 :rule trans :premises (@p1955 @p1814)) % 36.42/36.67 (step @p1816 :rule refl :args (@t322)) % 36.42/36.67 (step @p1817 :rule cong :premises (@p1816 @p1815) :args (@t323)) % 36.42/36.67 (step-pop @p1960 :rule scope :premises (@p1817)) % 36.42/36.67 (step-pop @p1961 :rule scope :premises (@p1960)) % 36.42/36.67 (step @p1818 :rule process_scope :premises (@p1961) :args (@t1127)) % 36.42/36.67 (step @p1821 :rule and_intro :premises (@p1956 @p1955)) % 36.42/36.67 (step @p1822 :rule modus_ponens :premises (@p1821 @p1818)) % 36.42/36.67 (step @p1823 :rule and_intro :premises (@p1957 @p1822)) % 36.42/36.67 (step-pop @p1962 :rule scope :premises (@p1823)) % 36.42/36.67 (step-pop @p1963 :rule scope :premises (@p1962)) % 36.42/36.67 (step-pop @p1964 :rule scope :premises (@p1963)) % 36.42/36.67 (step @p1824 :rule process_scope :premises (@p1964) :args (@t1131)) % 36.42/36.67 (step @p1828 :rule implies_elim :premises (@p1824)) % 36.42/36.67 (step @p1829 :rule resolution :premises (@p1828 @p1804) :args (true @t1131)) % 36.42/36.67 (step @p1830 :rule not_and :premises (@p1829)) % 36.42/36.67 (step @p1831 :rule eq_resolve :premises (@p1830 @p1795)) % 36.42/36.67 (step @p1832 false :rule chain_m_resolution :premises (@p1831 @p1791 @p1590 @p1368) :args (false (@list true false false) (@list @t1127 @t981 @t891))) % 36.42/36.67 ) % 36.42/36.67 % SZS output end Proof % 36.42/36.67 % cvc5 exiting %------------------------------------------------------------------------------