%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC307+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:48 AM UTC 2026 % Result : Theorem 77.57s 77.82s % Output : Proof 77.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC307+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:40:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 77.57/77.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 77.57/77.82 --- Run --no-e-matching --full-saturate-quant at 6... % 77.57/77.82 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 77.57/77.82 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 77.57/77.82 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 77.57/77.82 --- Run --trigger-sel=max --full-saturate-quant at 15... % 77.57/77.82 % SZS status Theorem % 77.57/77.82 % SZS output start Proof % 77.57/77.82 ( % 77.57/77.82 (declare-sort $$unsorted 0) % 77.57/77.82 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 77.57/77.82 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 77.57/77.82 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 77.57/77.82 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 77.57/77.82 (declare-const tptp.nil $$unsorted) % 77.57/77.82 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.ssList (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 77.57/77.82 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 77.57/77.82 (define @t1 () (@var "V" $$unsorted)) % 77.57/77.82 (define @t2 () (@var "U" $$unsorted)) % 77.57/77.82 (define @t3 () (= @t2 @t1)) % 77.57/77.82 (define @t4 () (not @t3)) % 77.57/77.82 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 77.57/77.82 (define @t6 () (tptp.ssItem @t1)) % 77.57/77.82 (define @t7 () (@list @t1)) % 77.57/77.82 (define @t8 () (tptp.ssItem @t2)) % 77.57/77.82 (define @t9 () (@list @t2)) % 77.57/77.82 (define @t10 () (@var "X" $$unsorted)) % 77.57/77.82 (define @t11 () (tptp.cons @t1 @t10)) % 77.57/77.82 (define @t12 () (@var "W" $$unsorted)) % 77.57/77.82 (define @t13 () (tptp.ssList @t10)) % 77.57/77.82 (define @t14 () (@list @t10)) % 77.57/77.82 (define @t15 () (tptp.ssList @t12)) % 77.57/77.82 (define @t16 () (@list @t12)) % 77.57/77.82 (define @t17 () (tptp.ssList @t2)) % 77.57/77.82 (define @t18 () (tptp.cons @t1 tptp.nil)) % 77.57/77.82 (define @t19 () (and @t6 (= @t18 @t2))) % 77.57/77.82 (define @t20 () (exists @t7 @t19)) % 77.57/77.82 (define @t21 () (tptp.singletonP @t2)) % 77.57/77.82 (define @t22 () (= @t21 @t20)) % 77.57/77.82 (define @t23 () (=> @t17 @t22)) % 77.57/77.82 (define @t24 () (forall @t9 @t23)) % 77.57/77.82 (define @t25 () (tptp.app @t1 @t12)) % 77.57/77.82 (define @t26 () (tptp.frontsegP @t2 @t1)) % 77.57/77.82 (define @t27 () (tptp.ssList @t1)) % 77.57/77.82 (define @t28 () (tptp.app @t12 @t1)) % 77.57/77.82 (define @t29 () (tptp.rearsegP @t2 @t1)) % 77.57/77.82 (define @t30 () (tptp.segmentP @t2 @t1)) % 77.57/77.82 (define @t31 () (tptp.leq @t12 @t1)) % 77.57/77.82 (define @t32 () (tptp.leq @t1 @t12)) % 77.57/77.82 (define @t33 () (@var "Z" $$unsorted)) % 77.57/77.82 (define @t34 () (@var "Y" $$unsorted)) % 77.57/77.82 (define @t35 () (tptp.app @t10 (tptp.cons @t1 @t34))) % 77.57/77.82 (define @t36 () (tptp.app @t35 (tptp.cons @t12 @t33))) % 77.57/77.82 (define @t37 () (= @t36 @t2)) % 77.57/77.82 (define @t38 () (tptp.ssList @t33)) % 77.57/77.82 (define @t39 () (@list @t33)) % 77.57/77.82 (define @t40 () (tptp.ssList @t34)) % 77.57/77.82 (define @t41 () (@list @t34)) % 77.57/77.82 (define @t42 () (tptp.ssItem @t12)) % 77.57/77.82 (define @t43 () (tptp.lt @t1 @t12)) % 77.57/77.82 (define @t44 () (=> @t37 @t43)) % 77.57/77.82 (define @t45 () (=> @t38 @t44)) % 77.57/77.82 (define @t46 () (forall @t39 @t45)) % 77.57/77.82 (define @t47 () (=> @t40 @t46)) % 77.57/77.82 (define @t48 () (forall @t41 @t47)) % 77.57/77.82 (define @t49 () (=> @t13 @t48)) % 77.57/77.82 (define @t50 () (forall @t14 @t49)) % 77.57/77.82 (define @t51 () (=> @t42 @t50)) % 77.57/77.82 (define @t52 () (forall @t16 @t51)) % 77.57/77.82 (define @t53 () (=> @t6 @t52)) % 77.57/77.82 (define @t54 () (forall @t7 @t53)) % 77.57/77.82 (define @t55 () (tptp.strictorderedP @t2)) % 77.57/77.82 (define @t56 () (= @t55 @t54)) % 77.57/77.82 (define @t57 () (=> @t17 @t56)) % 77.57/77.82 (define @t58 () (forall @t9 @t57)) % 77.57/77.82 (define @t59 () (= @t1 @t12)) % 77.57/77.82 (define @t60 () (forall @t7 (=> @t27 @t5))) % 77.57/77.82 (define @t61 () (=> @t17 @t60)) % 77.57/77.82 (define @t62 () (forall @t9 @t61)) % 77.57/77.82 (define @t63 () (tptp.cons @t1 @t2)) % 77.57/77.82 (define @t64 () (tptp.ssList @t63)) % 77.57/77.82 (define @t65 () (forall @t7 (=> @t6 @t64))) % 77.57/77.82 (define @t66 () (=> @t17 @t65)) % 77.57/77.82 (define @t67 () (forall @t9 @t66)) % 77.57/77.82 (define @t68 () (tptp.ssList tptp.nil)) % 77.57/77.82 (define @t69 () (not (= @t63 @t2))) % 77.57/77.82 (define @t70 () (=> @t6 @t69)) % 77.57/77.82 (define @t71 () (forall @t7 @t70)) % 77.57/77.82 (define @t72 () (=> @t17 @t71)) % 77.57/77.82 (define @t73 () (forall @t9 @t72)) % 77.57/77.82 (define @t74 () (= @t1 @t2)) % 77.57/77.82 (define @t75 () (tptp.cons @t12 @t1)) % 77.57/77.82 (define @t76 () (= tptp.nil @t2)) % 77.57/77.82 (define @t77 () (tptp.hd @t2)) % 77.57/77.82 (define @t78 () (tptp.ssItem @t77)) % 77.57/77.82 (define @t79 () (not @t76)) % 77.57/77.82 (define @t80 () (=> @t79 @t78)) % 77.57/77.82 (define @t81 () (=> @t17 @t80)) % 77.57/77.82 (define @t82 () (forall @t9 @t81)) % 77.57/77.82 (define @t83 () (tptp.hd @t63)) % 77.57/77.82 (define @t84 () (=> @t6 (= @t83 @t1))) % 77.57/77.82 (define @t85 () (forall @t7 @t84)) % 77.57/77.82 (define @t86 () (=> @t17 @t85)) % 77.57/77.82 (define @t87 () (forall @t9 @t86)) % 77.57/77.82 (define @t88 () (tptp.tl @t2)) % 77.57/77.82 (define @t89 () (tptp.app @t2 @t1)) % 77.57/77.82 (define @t90 () (tptp.ssList @t89)) % 77.57/77.82 (define @t91 () (forall @t7 (=> @t27 @t90))) % 77.57/77.82 (define @t92 () (=> @t17 @t91)) % 77.57/77.82 (define @t93 () (forall @t9 @t92)) % 77.57/77.82 (define @t94 () (tptp.app @t1 @t2)) % 77.57/77.82 (define @t95 () (= (tptp.cons @t12 @t94) (tptp.app @t75 @t2))) % 77.57/77.82 (define @t96 () (forall @t16 (=> @t42 @t95))) % 77.57/77.82 (define @t97 () (=> @t27 @t96)) % 77.57/77.82 (define @t98 () (forall @t7 @t97)) % 77.57/77.82 (define @t99 () (=> @t17 @t98)) % 77.57/77.82 (define @t100 () (forall @t9 @t99)) % 77.57/77.82 (define @t101 () (tptp.app tptp.nil @t2)) % 77.57/77.82 (define @t102 () (=> @t17 (= @t101 @t2))) % 77.57/77.82 (define @t103 () (forall @t9 @t102)) % 77.57/77.82 (define @t104 () (tptp.leq @t1 @t2)) % 77.57/77.82 (define @t105 () (tptp.leq @t2 @t1)) % 77.57/77.82 (define @t106 () (tptp.geq @t2 @t1)) % 77.57/77.82 (define @t107 () (tptp.lt @t1 @t2)) % 77.57/77.82 (define @t108 () (not @t107)) % 77.57/77.82 (define @t109 () (tptp.lt @t2 @t1)) % 77.57/77.82 (define @t110 () (=> @t109 @t108)) % 77.57/77.82 (define @t111 () (forall @t7 (=> @t6 @t110))) % 77.57/77.82 (define @t112 () (=> @t8 @t111)) % 77.57/77.82 (define @t113 () (forall @t9 @t112)) % 77.57/77.82 (define @t114 () (tptp.lt @t2 @t12)) % 77.57/77.82 (define @t115 () (tptp.gt @t2 @t1)) % 77.57/77.82 (define @t116 () (tptp.memberP @t12 @t2)) % 77.57/77.82 (define @t117 () (tptp.app @t12 @t2)) % 77.57/77.82 (define @t118 () (tptp.segmentP @t1 @t12)) % 77.57/77.82 (define @t119 () (tptp.segmentP @t1 @t2)) % 77.57/77.82 (define @t120 () (tptp.segmentP tptp.nil @t2)) % 77.57/77.82 (define @t121 () (=> @t17 (= @t120 @t76))) % 77.57/77.82 (define @t122 () (forall @t9 @t121)) % 77.57/77.82 (define @t123 () (tptp.cons @t2 tptp.nil)) % 77.57/77.82 (define @t124 () (tptp.hd @t1)) % 77.57/77.82 (define @t125 () (= tptp.nil @t1)) % 77.57/77.82 (define @t126 () (not @t125)) % 77.57/77.82 (define @t127 () (tptp.cons @t2 @t1)) % 77.57/77.82 (define @t128 () (tptp.strictorderedP @t123)) % 77.57/77.82 (define @t129 () (forall @t9 (=> @t8 @t128))) % 77.57/77.82 (define @t130 () (= @t12 @t2)) % 77.57/77.82 (define @t131 () (= @t63 (tptp.app @t18 @t2))) % 77.57/77.82 (define @t132 () (forall @t7 (=> @t6 @t131))) % 77.57/77.82 (define @t133 () (=> @t17 @t132)) % 77.57/77.82 (define @t134 () (forall @t9 @t133)) % 77.57/77.82 (define @t135 () (= (tptp.app @t89 @t12) (tptp.app @t2 @t25))) % 77.57/77.82 (define @t136 () (forall @t16 (=> @t15 @t135))) % 77.57/77.82 (define @t137 () (=> @t27 @t136)) % 77.57/77.82 (define @t138 () (forall @t7 @t137)) % 77.57/77.82 (define @t139 () (=> @t17 @t138)) % 77.57/77.82 (define @t140 () (forall @t9 @t139)) % 77.57/77.82 (define @t141 () (and @t125 @t76)) % 77.57/77.82 (define @t142 () (= tptp.nil @t89)) % 77.57/77.82 (define @t143 () (= @t142 @t141)) % 77.57/77.82 (define @t144 () (=> @t27 @t143)) % 77.57/77.82 (define @t145 () (forall @t7 @t144)) % 77.57/77.82 (define @t146 () (=> @t17 @t145)) % 77.57/77.82 (define @t147 () (forall @t9 @t146)) % 77.57/77.82 (define @t148 () (not (tptp.singletonP @t12))) % 77.57/77.82 (define @t149 () (and @t148 (tptp.neq @t10 tptp.nil))) % 77.57/77.82 (define @t150 () (not (tptp.lt @t33 @t34))) % 77.57/77.82 (define @t151 () (@var "X3" $$unsorted)) % 77.57/77.82 (define @t152 () (tptp.cons @t33 tptp.nil)) % 77.57/77.82 (define @t153 () (@var "X2" $$unsorted)) % 77.57/77.82 (define @t154 () (tptp.cons @t34 tptp.nil)) % 77.57/77.82 (define @t155 () (@var "X1" $$unsorted)) % 77.57/77.82 (define @t156 () (tptp.app @t155 @t154)) % 77.57/77.82 (define @t157 () (tptp.app (tptp.app @t156 @t153) @t152)) % 77.57/77.82 (define @t158 () (tptp.app @t157 @t151)) % 77.57/77.82 (define @t159 () (not (= @t158 @t2))) % 77.57/77.82 (define @t160 () (or @t159 @t150)) % 77.57/77.82 (define @t161 () (tptp.ssList @t151)) % 77.57/77.82 (define @t162 () (=> @t161 @t160)) % 77.57/77.82 (define @t163 () (@list @t151)) % 77.57/77.82 (define @t164 () (forall @t163 @t162)) % 77.57/77.82 (define @t165 () (tptp.ssList @t153)) % 77.57/77.82 (define @t166 () (=> @t165 @t164)) % 77.57/77.82 (define @t167 () (@list @t153)) % 77.57/77.82 (define @t168 () (forall @t167 @t166)) % 77.57/77.82 (define @t169 () (tptp.ssList @t155)) % 77.57/77.82 (define @t170 () (=> @t169 @t168)) % 77.57/77.82 (define @t171 () (@list @t155)) % 77.57/77.82 (define @t172 () (forall @t171 @t170)) % 77.57/77.82 (define @t173 () (tptp.ssItem @t33)) % 77.57/77.82 (define @t174 () (=> @t173 @t172)) % 77.57/77.82 (define @t175 () (forall @t39 @t174)) % 77.57/77.82 (define @t176 () (tptp.ssItem @t34)) % 77.57/77.82 (define @t177 () (=> @t176 @t175)) % 77.57/77.82 (define @t178 () (forall @t41 @t177)) % 77.57/77.82 (define @t179 () (not (tptp.segmentP @t10 @t12))) % 77.57/77.82 (define @t180 () (not (= @t2 @t12))) % 77.57/77.82 (define @t181 () (not (= @t1 @t10))) % 77.57/77.82 (define @t182 () (or @t181 @t180 @t179 @t178 @t149)) % 77.57/77.82 (define @t183 () (=> @t13 @t182)) % 77.57/77.82 (define @t184 () (forall @t14 @t183)) % 77.57/77.82 (define @t185 () (=> @t15 @t184)) % 77.57/77.82 (define @t186 () (forall @t16 @t185)) % 77.57/77.82 (define @t187 () (=> @t27 @t186)) % 77.57/77.82 (define @t188 () (forall @t7 @t187)) % 77.57/77.82 (define @t189 () (=> @t17 @t188)) % 77.57/77.82 (define @t190 () (forall @t9 @t189)) % 77.57/77.82 (define @t191 () (not @t190)) % 77.57/77.82 (define @t192 () (@var "BOUND_VARIABLE_11147" $$unsorted)) % 77.57/77.82 (define @t193 () (tptp.neq @t192 tptp.nil)) % 77.57/77.82 (define @t194 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 77.57/77.82 (define @t195 () (@var "BOUND_VARIABLE_11118" $$unsorted)) % 77.57/77.82 (define @t196 () (@var "BOUND_VARIABLE_11122" $$unsorted)) % 77.57/77.82 (define @t197 () (@var "BOUND_VARIABLE_11116" $$unsorted)) % 77.57/77.82 (define @t198 () (@var "BOUND_VARIABLE_11120" $$unsorted)) % 77.57/77.82 (define @t199 () (tptp.app (tptp.app (tptp.app (tptp.app @t198 (tptp.cons @t197 tptp.nil)) @t196) (tptp.cons @t195 tptp.nil)) @t194)) % 77.57/77.82 (define @t200 () (and (not (tptp.singletonP @t199)) @t193)) % 77.57/77.82 (define @t201 () (not (tptp.segmentP @t192 @t199))) % 77.57/77.82 (define @t202 () (not (tptp.ssList @t192))) % 77.57/77.82 (define @t203 () (not (tptp.ssList @t194))) % 77.57/77.82 (define @t204 () (not (tptp.ssList @t196))) % 77.57/77.82 (define @t205 () (not (tptp.ssList @t198))) % 77.57/77.82 (define @t206 () (not (tptp.lt @t195 @t197))) % 77.57/77.82 (define @t207 () (not (tptp.ssItem @t195))) % 77.57/77.82 (define @t208 () (not (tptp.ssItem @t197))) % 77.57/77.82 (define @t209 () (not (tptp.ssList @t199))) % 77.57/77.82 (define @t210 () (or @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200)) % 77.57/77.82 (define @t211 () (not (= @t199 @t199))) % 77.57/77.82 (define @t212 () (or @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t211 @t202 @t201 @t200)) % 77.57/77.82 (define @t213 () (@list @t197 @t195 @t198 @t196 @t194 @t192)) % 77.57/77.82 (define @t214 () (not @t21)) % 77.57/77.82 (define @t215 () (and @t214 @t193)) % 77.57/77.82 (define @t216 () (not (tptp.segmentP @t192 @t2))) % 77.57/77.82 (define @t217 () (not (= @t2 @t199))) % 77.57/77.82 (define @t218 () (not @t17)) % 77.57/77.82 (define @t219 () (or @t217 @t218 @t208 @t207 @t206 @t205 @t204 @t203 @t217 @t202 @t216 @t215)) % 77.57/77.82 (define @t220 () (or @t218 @t208 @t207 @t206 @t205 @t204 @t203 @t217 @t202 @t216 @t215)) % 77.57/77.82 (define @t221 () (forall @t9 @t220)) % 77.57/77.82 (define @t222 () (forall @t213 @t221)) % 77.57/77.82 (define @t223 () (forall (@list @t197 @t195 @t198 @t196 @t194 @t192 @t2) @t220)) % 77.57/77.82 (define @t224 () (@list @t2 @t197 @t195 @t198 @t196 @t194 @t192)) % 77.57/77.82 (define @t225 () (or @t202 @t216 @t215)) % 77.57/77.82 (define @t226 () (or @t208 @t207 @t206 @t205 @t204 @t203 @t217)) % 77.57/77.82 (define @t227 () (or @t218 @t226 @t225)) % 77.57/77.82 (define @t228 () (forall @t224 @t227)) % 77.57/77.82 (define @t229 () (forall @t213 @t227)) % 77.57/77.82 (define @t230 () (forall (@list @t192) @t225)) % 77.57/77.82 (define @t231 () (@list @t1)) % 77.57/77.82 (define @t232 () (forall (@list @t197 @t195 @t198 @t196 @t194) @t226)) % 77.57/77.82 (define @t233 () (@var "BOUND_VARIABLE_11049" $$unsorted)) % 77.57/77.82 (define @t234 () (@var "BOUND_VARIABLE_11047" $$unsorted)) % 77.57/77.82 (define @t235 () (@var "BOUND_VARIABLE_11045" $$unsorted)) % 77.57/77.82 (define @t236 () (@var "BOUND_VARIABLE_11043" $$unsorted)) % 77.57/77.82 (define @t237 () (or @t218 @t232 @t230)) % 77.57/77.82 (define @t238 () (tptp.neq @t1 tptp.nil)) % 77.57/77.82 (define @t239 () (and @t214 @t238)) % 77.57/77.82 (define @t240 () (not @t119)) % 77.57/77.82 (define @t241 () (not @t27)) % 77.57/77.82 (define @t242 () (or @t241 @t240 @t239)) % 77.57/77.82 (define @t243 () (forall @t7 @t242)) % 77.57/77.82 (define @t244 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t235 @t154) @t234) (tptp.cons @t236 tptp.nil)) @t233)))) % 77.57/77.82 (define @t245 () (not (tptp.ssList @t233))) % 77.57/77.82 (define @t246 () (not (tptp.ssList @t234))) % 77.57/77.82 (define @t247 () (not (tptp.ssList @t235))) % 77.57/77.82 (define @t248 () (not (tptp.lt @t236 @t34))) % 77.57/77.82 (define @t249 () (not (tptp.ssItem @t236))) % 77.57/77.82 (define @t250 () (not @t176)) % 77.57/77.82 (define @t251 () (or @t250 @t249 @t248 @t247 @t246 @t245 @t244)) % 77.57/77.82 (define @t252 () (@list @t34 @t236 @t235 @t234 @t233)) % 77.57/77.82 (define @t253 () (forall @t252 @t251)) % 77.57/77.82 (define @t254 () (or @t218 @t253 @t243)) % 77.57/77.82 (define @t255 () (or @t253 @t218 @t243)) % 77.57/77.82 (define @t256 () (or @t253 @t218 @t242)) % 77.57/77.82 (define @t257 () (or @t241 @t253 @t218 @t240 @t239)) % 77.57/77.82 (define @t258 () (or @t253 @t241 @t218 @t240 @t239)) % 77.57/77.82 (define @t259 () (or @t218 @t240 @t239)) % 77.57/77.82 (define @t260 () (not (= @t2 @t2))) % 77.57/77.82 (define @t261 () (or @t218 @t260 @t240 @t239)) % 77.57/77.82 (define @t262 () (and @t148 @t238)) % 77.57/77.82 (define @t263 () (not @t118)) % 77.57/77.82 (define @t264 () (not @t15)) % 77.57/77.82 (define @t265 () (or @t180 @t264 @t180 @t263 @t262)) % 77.57/77.82 (define @t266 () (or @t264 @t180 @t263 @t262)) % 77.57/77.82 (define @t267 () (forall @t16 @t266)) % 77.57/77.82 (define @t268 () (or @t253 @t241 @t267)) % 77.57/77.82 (define @t269 () (or @t253 @t241 @t266)) % 77.57/77.82 (define @t270 () (or @t264 @t180 @t253 @t241 @t263 @t262)) % 77.57/77.82 (define @t271 () (or @t180 @t253 @t241 @t263 @t262)) % 77.57/77.82 (define @t272 () (or @t241 @t263 @t262)) % 77.57/77.82 (define @t273 () (not (= @t1 @t1))) % 77.57/77.82 (define @t274 () (or @t241 @t273 @t263 @t262)) % 77.57/77.82 (define @t275 () (not @t13)) % 77.57/77.82 (define @t276 () (or @t181 @t275 @t181 @t179 @t149)) % 77.57/77.82 (define @t277 () (or @t275 @t181 @t179 @t149)) % 77.57/77.82 (define @t278 () (forall @t14 @t277)) % 77.57/77.82 (define @t279 () (or @t180 @t253 @t278)) % 77.57/77.82 (define @t280 () (or @t180 @t253 @t277)) % 77.57/77.82 (define @t281 () (or @t275 @t181 @t180 @t179 @t253 @t149)) % 77.57/77.82 (define @t282 () (or @t181 @t180 @t179 @t253 @t149)) % 77.57/77.82 (define @t283 () (or @t249 @t248 @t247 @t246 @t245 @t244)) % 77.57/77.82 (define @t284 () (or @t250 @t283)) % 77.57/77.82 (define @t285 () (forall @t252 @t284)) % 77.57/77.82 (define @t286 () (@list @t236 @t235 @t234 @t233)) % 77.57/77.82 (define @t287 () (forall @t286 @t284)) % 77.57/77.82 (define @t288 () (forall @t286 @t283)) % 77.57/77.82 (define @t289 () (@var "BOUND_VARIABLE_11018" $$unsorted)) % 77.57/77.82 (define @t290 () (@var "BOUND_VARIABLE_11016" $$unsorted)) % 77.57/77.82 (define @t291 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 77.57/77.82 (define @t292 () (or @t250 @t288)) % 77.57/77.82 (define @t293 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t291 @t154) @t290) @t152) @t289)))) % 77.57/77.82 (define @t294 () (not (tptp.ssList @t289))) % 77.57/77.82 (define @t295 () (not (tptp.ssList @t290))) % 77.57/77.82 (define @t296 () (not (tptp.ssList @t291))) % 77.57/77.82 (define @t297 () (not @t173)) % 77.57/77.82 (define @t298 () (or @t297 @t150 @t296 @t295 @t294 @t293)) % 77.57/77.82 (define @t299 () (@list @t33 @t291 @t290 @t289)) % 77.57/77.82 (define @t300 () (forall @t299 @t298)) % 77.57/77.82 (define @t301 () (or @t296 @t295 @t294 @t293)) % 77.57/77.82 (define @t302 () (or @t297 @t150 @t301)) % 77.57/77.82 (define @t303 () (forall @t299 @t302)) % 77.57/77.82 (define @t304 () (@list @t291 @t290 @t289)) % 77.57/77.82 (define @t305 () (forall @t304 @t302)) % 77.57/77.82 (define @t306 () (forall @t304 @t301)) % 77.57/77.82 (define @t307 () (@var "BOUND_VARIABLE_10991" $$unsorted)) % 77.57/77.82 (define @t308 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 77.57/77.82 (define @t309 () (or @t297 @t150 @t306)) % 77.57/77.82 (define @t310 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t156 @t308) @t152) @t307)))) % 77.57/77.82 (define @t311 () (not (tptp.ssList @t307))) % 77.57/77.82 (define @t312 () (not (tptp.ssList @t308))) % 77.57/77.82 (define @t313 () (not @t169)) % 77.57/77.82 (define @t314 () (or @t313 @t312 @t311 @t310)) % 77.57/77.82 (define @t315 () (@list @t155 @t308 @t307)) % 77.57/77.82 (define @t316 () (forall @t315 @t314)) % 77.57/77.82 (define @t317 () (or @t297 @t150 @t316)) % 77.57/77.82 (define @t318 () (or @t150 @t316)) % 77.57/77.82 (define @t319 () (or @t312 @t311 @t310)) % 77.57/77.82 (define @t320 () (or @t313 @t319)) % 77.57/77.82 (define @t321 () (forall @t315 @t320)) % 77.57/77.82 (define @t322 () (@list @t308 @t307)) % 77.57/77.82 (define @t323 () (forall @t322 @t320)) % 77.57/77.82 (define @t324 () (forall @t322 @t319)) % 77.57/77.82 (define @t325 () (@var "BOUND_VARIABLE_10967" $$unsorted)) % 77.57/77.82 (define @t326 () (or @t313 @t324)) % 77.57/77.82 (define @t327 () (not (= @t2 (tptp.app @t157 @t325)))) % 77.57/77.82 (define @t328 () (not (tptp.ssList @t325))) % 77.57/77.82 (define @t329 () (not @t165)) % 77.57/77.82 (define @t330 () (or @t329 @t328 @t327)) % 77.57/77.82 (define @t331 () (@list @t153 @t325)) % 77.57/77.82 (define @t332 () (forall @t331 @t330)) % 77.57/77.82 (define @t333 () (or @t313 @t332)) % 77.57/77.82 (define @t334 () (forall @t171 @t333)) % 77.57/77.82 (define @t335 () (or @t150 @t334)) % 77.57/77.82 (define @t336 () (or @t150 @t333)) % 77.57/77.82 (define @t337 () (or @t313 @t150 @t332)) % 77.57/77.82 (define @t338 () (or @t150 @t332)) % 77.57/77.82 (define @t339 () (or @t328 @t327)) % 77.57/77.82 (define @t340 () (or @t329 @t339)) % 77.57/77.82 (define @t341 () (forall @t331 @t340)) % 77.57/77.82 (define @t342 () (@list @t325)) % 77.57/77.82 (define @t343 () (forall @t342 @t340)) % 77.57/77.82 (define @t344 () (forall @t342 @t339)) % 77.57/77.82 (define @t345 () (or @t329 @t344)) % 77.57/77.82 (define @t346 () (not (= @t2 @t158))) % 77.57/77.82 (define @t347 () (not @t161)) % 77.57/77.82 (define @t348 () (or @t347 @t346)) % 77.57/77.82 (define @t349 () (forall @t163 @t348)) % 77.57/77.82 (define @t350 () (or @t329 @t349)) % 77.57/77.82 (define @t351 () (forall @t167 @t350)) % 77.57/77.82 (define @t352 () (or @t150 @t351)) % 77.57/77.82 (define @t353 () (or @t150 @t350)) % 77.57/77.82 (define @t354 () (or @t329 @t150 @t349)) % 77.57/77.82 (define @t355 () (or @t150 @t349)) % 77.57/77.82 (define @t356 () (or @t150 @t348)) % 77.57/77.82 (define @t357 () (or @t347 @t346 @t150)) % 77.57/77.82 (define @t358 () (or @t346 @t150)) % 77.57/77.82 (define @t359 () (forall @t213 @t210)) % 77.57/77.82 (define @t360 () (@quantifiers_skolemize @t359 4)) % 77.57/77.82 (define @t361 () (@quantifiers_skolemize @t359 1)) % 77.57/77.82 (define @t362 () (tptp.cons @t361 tptp.nil)) % 77.57/77.82 (define @t363 () (@quantifiers_skolemize @t359 3)) % 77.57/77.82 (define @t364 () (@quantifiers_skolemize @t359 0)) % 77.57/77.82 (define @t365 () (tptp.cons @t364 tptp.nil)) % 77.57/77.82 (define @t366 () (@quantifiers_skolemize @t359 2)) % 77.57/77.82 (define @t367 () (tptp.app @t366 @t365)) % 77.57/77.82 (define @t368 () (tptp.app @t367 @t363)) % 77.57/77.82 (define @t369 () (tptp.app @t368 @t362)) % 77.57/77.82 (define @t370 () (tptp.app @t369 @t360)) % 77.57/77.82 (define @t371 () (@quantifiers_skolemize @t359 5)) % 77.57/77.82 (define @t372 () (tptp.segmentP @t371 @t370)) % 77.57/77.82 (define @t373 () (tptp.neq @t371 tptp.nil)) % 77.57/77.82 (define @t374 () (tptp.singletonP @t370)) % 77.57/77.82 (define @t375 () (not @t374)) % 77.57/77.82 (define @t376 () (and @t375 @t373)) % 77.57/77.82 (define @t377 () (not @t372)) % 77.57/77.82 (define @t378 () (tptp.ssList @t371)) % 77.57/77.82 (define @t379 () (not @t378)) % 77.57/77.82 (define @t380 () (tptp.ssList @t360)) % 77.57/77.82 (define @t381 () (not @t380)) % 77.57/77.82 (define @t382 () (tptp.ssList @t363)) % 77.57/77.82 (define @t383 () (not @t382)) % 77.57/77.82 (define @t384 () (tptp.ssList @t366)) % 77.57/77.82 (define @t385 () (not @t384)) % 77.57/77.82 (define @t386 () (tptp.lt @t361 @t364)) % 77.57/77.82 (define @t387 () (not @t386)) % 77.57/77.82 (define @t388 () (tptp.ssItem @t361)) % 77.57/77.82 (define @t389 () (not @t388)) % 77.57/77.82 (define @t390 () (tptp.ssItem @t364)) % 77.57/77.82 (define @t391 () (not @t390)) % 77.57/77.82 (define @t392 () (tptp.ssList @t370)) % 77.57/77.82 (define @t393 () (not @t392)) % 77.57/77.82 (define @t394 () (or @t393 @t391 @t389 @t387 @t385 @t383 @t381 @t379 @t377 @t376)) % 77.57/77.82 (define @t395 () (@list true)) % 77.57/77.82 (define @t396 () (@list @t394)) % 77.57/77.82 (define @t397 () (= @t2 tptp.nil)) % 77.57/77.82 (define @t398 () (= @t120 @t397)) % 77.57/77.82 (define @t399 () (tptp.segmentP tptp.nil @t370)) % 77.57/77.82 (define @t400 () (= @t370 tptp.nil)) % 77.57/77.82 (define @t401 () (or @t393 (= @t399 @t400))) % 77.57/77.82 (define @t402 () (forall @t9 (or @t218 @t398))) % 77.57/77.82 (define @t403 () (@list @t370)) % 77.57/77.82 (define @t404 () (= tptp.nil @t370)) % 77.57/77.82 (define @t405 () (= @t404 @t399)) % 77.57/77.82 (define @t406 () (or @t393 @t405)) % 77.57/77.82 (define @t407 () (@list false)) % 77.57/77.82 (define @t408 () (@list false false)) % 77.57/77.82 (define @t409 () (@var "BOUND_VARIABLE_10618" $$unsorted)) % 77.57/77.82 (define @t410 () (and (= @t409 tptp.nil) @t397)) % 77.57/77.82 (define @t411 () (= tptp.nil (tptp.app @t2 @t409))) % 77.57/77.82 (define @t412 () (= @t411 @t410)) % 77.57/77.82 (define @t413 () (not (tptp.ssList @t409))) % 77.57/77.82 (define @t414 () (or @t218 @t413 @t412)) % 77.57/77.82 (define @t415 () (or @t413 @t412)) % 77.57/77.82 (define @t416 () (or @t218 @t415)) % 77.57/77.82 (define @t417 () (@list @t2 @t409)) % 77.57/77.82 (define @t418 () (forall @t417 @t416)) % 77.57/77.82 (define @t419 () (@list @t409)) % 77.57/77.82 (define @t420 () (forall @t419 @t416)) % 77.57/77.82 (define @t421 () (forall @t419 @t415)) % 77.57/77.82 (define @t422 () (or @t218 @t421)) % 77.57/77.82 (define @t423 () (= @t142 (and (= @t1 tptp.nil) @t397))) % 77.57/77.82 (define @t424 () (forall @t7 (or @t241 @t423))) % 77.57/77.82 (define @t425 () (= tptp.nil @t360)) % 77.57/77.82 (define @t426 () (and @t425 (= @t369 tptp.nil))) % 77.57/77.82 (define @t427 () (= @t404 @t426)) % 77.57/77.82 (define @t428 () (tptp.ssList @t369)) % 77.57/77.82 (define @t429 () (not @t428)) % 77.57/77.82 (define @t430 () (or @t429 @t381 @t427)) % 77.57/77.82 (define @t431 () (forall @t417 (or @t218 @t413 (= @t411 (and (= tptp.nil @t409) @t397))))) % 77.57/77.82 (define @t432 () (= tptp.nil @t369)) % 77.57/77.82 (define @t433 () (and @t425 @t432)) % 77.57/77.82 (define @t434 () (= @t404 @t433)) % 77.57/77.82 (define @t435 () (or @t429 @t381 @t434)) % 77.57/77.82 (define @t436 () (@list @t431)) % 77.57/77.82 (define @t437 () (@var "BOUND_VARIABLE_9390" $$unsorted)) % 77.57/77.82 (define @t438 () (tptp.ssList (tptp.app @t2 @t437))) % 77.57/77.82 (define @t439 () (not (tptp.ssList @t437))) % 77.57/77.82 (define @t440 () (or @t439 @t438)) % 77.57/77.82 (define @t441 () (or @t218 @t440)) % 77.57/77.82 (define @t442 () (forall (@list @t2 @t437) @t441)) % 77.57/77.82 (define @t443 () (@list @t437)) % 77.57/77.82 (define @t444 () (forall @t443 @t441)) % 77.57/77.82 (define @t445 () (forall @t443 @t440)) % 77.57/77.82 (define @t446 () (or @t218 @t445)) % 77.57/77.82 (define @t447 () (forall @t7 (or @t241 @t90))) % 77.57/77.82 (define @t448 () (@list @t368 @t362)) % 77.57/77.82 (define @t449 () (@var "BOUND_VARIABLE_9146" $$unsorted)) % 77.57/77.82 (define @t450 () (tptp.ssList (tptp.cons @t449 @t2))) % 77.57/77.82 (define @t451 () (not (tptp.ssItem @t449))) % 77.57/77.82 (define @t452 () (or @t451 @t450)) % 77.57/77.82 (define @t453 () (or @t218 @t452)) % 77.57/77.82 (define @t454 () (forall (@list @t2 @t449) @t453)) % 77.57/77.82 (define @t455 () (@list @t449)) % 77.57/77.82 (define @t456 () (forall @t455 @t453)) % 77.57/77.82 (define @t457 () (forall @t455 @t452)) % 77.57/77.82 (define @t458 () (or @t218 @t457)) % 77.57/77.82 (define @t459 () (not @t6)) % 77.57/77.82 (define @t460 () (forall @t7 (or @t459 @t64))) % 77.57/77.82 (define @t461 () (tptp.ssList @t365)) % 77.57/77.82 (define @t462 () (not @t68)) % 77.57/77.82 (define @t463 () (or @t462 @t391 @t461)) % 77.57/77.82 (define @t464 () (@list false false false)) % 77.57/77.82 (define @t465 () (tptp.ssList @t367)) % 77.57/77.82 (define @t466 () (not @t461)) % 77.57/77.82 (define @t467 () (or @t385 @t466 @t465)) % 77.57/77.82 (define @t468 () (tptp.ssList @t368)) % 77.57/77.82 (define @t469 () (not @t465)) % 77.57/77.82 (define @t470 () (or @t469 @t383 @t468)) % 77.57/77.82 (define @t471 () (@list tptp.nil @t361)) % 77.57/77.82 (define @t472 () (tptp.ssList @t362)) % 77.57/77.82 (define @t473 () (or @t462 @t389 @t472)) % 77.57/77.82 (define @t474 () (not @t472)) % 77.57/77.82 (define @t475 () (not @t468)) % 77.57/77.82 (define @t476 () (or @t475 @t474 @t428)) % 77.57/77.82 (define @t477 () (= tptp.nil @t362)) % 77.57/77.82 (define @t478 () (and @t477 (= @t368 tptp.nil))) % 77.57/77.82 (define @t479 () (= @t432 @t478)) % 77.57/77.82 (define @t480 () (or @t475 @t474 @t479)) % 77.57/77.82 (define @t481 () (and @t477 (= tptp.nil @t368))) % 77.57/77.82 (define @t482 () (= @t432 @t481)) % 77.57/77.82 (define @t483 () (or @t475 @t474 @t482)) % 77.57/77.82 (define @t484 () (@var "BOUND_VARIABLE_9169" $$unsorted)) % 77.57/77.82 (define @t485 () (not (= @t2 (tptp.cons @t484 @t2)))) % 77.57/77.82 (define @t486 () (not (tptp.ssItem @t484))) % 77.57/77.82 (define @t487 () (or @t486 @t485)) % 77.57/77.82 (define @t488 () (or @t218 @t487)) % 77.57/77.82 (define @t489 () (forall (@list @t2 @t484) @t488)) % 77.57/77.82 (define @t490 () (@list @t484)) % 77.57/77.82 (define @t491 () (forall @t490 @t488)) % 77.57/77.82 (define @t492 () (forall @t490 @t487)) % 77.57/77.82 (define @t493 () (or @t218 @t492)) % 77.57/77.82 (define @t494 () (not (= @t2 @t63))) % 77.57/77.82 (define @t495 () (forall @t7 (or @t459 @t494))) % 77.57/77.82 (define @t496 () (not @t477)) % 77.57/77.82 (define @t497 () (or @t462 @t389 @t496)) % 77.57/77.82 (define @t498 () (not @t481)) % 77.57/77.82 (define @t499 () (not @t432)) % 77.57/77.82 (define @t500 () (@list true false)) % 77.57/77.82 (define @t501 () (not @t433)) % 77.57/77.82 (define @t502 () (not @t404)) % 77.57/77.82 (define @t503 () (not @t399)) % 77.57/77.82 (define @t504 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 77.57/77.82 (define @t505 () (= (tptp.neq @t2 @t504) (not (= @t2 @t504)))) % 77.57/77.82 (define @t506 () (not (tptp.ssList @t504))) % 77.57/77.82 (define @t507 () (or @t218 @t506 @t505)) % 77.57/77.82 (define @t508 () (or @t506 @t505)) % 77.57/77.82 (define @t509 () (or @t218 @t508)) % 77.57/77.82 (define @t510 () (@list @t2 @t504)) % 77.57/77.82 (define @t511 () (forall @t510 @t509)) % 77.57/77.82 (define @t512 () (@list @t504)) % 77.57/77.82 (define @t513 () (forall @t512 @t509)) % 77.57/77.82 (define @t514 () (forall @t512 @t508)) % 77.57/77.82 (define @t515 () (or @t218 @t514)) % 77.57/77.82 (define @t516 () (forall @t7 (or @t241 @t5))) % 77.57/77.82 (define @t517 () (not (= @t371 tptp.nil))) % 77.57/77.82 (define @t518 () (= @t373 @t517)) % 77.57/77.82 (define @t519 () (or @t379 @t462 @t518)) % 77.57/77.82 (define @t520 () (forall @t510 @t507)) % 77.57/77.82 (define @t521 () (= tptp.nil @t371)) % 77.57/77.82 (define @t522 () (not @t521)) % 77.57/77.82 (define @t523 () (= @t373 @t522)) % 77.57/77.82 (define @t524 () (or @t379 @t462 @t523)) % 77.57/77.82 (define @t525 () (= @t2 @t18)) % 77.57/77.82 (define @t526 () (= @t21 (not (forall @t7 (or @t459 (not @t525)))))) % 77.57/77.82 (define @t527 () (and @t6 @t525)) % 77.57/77.82 (define @t528 () (forall @t7 (not @t527))) % 77.57/77.82 (define @t529 () (not @t528)) % 77.57/77.82 (define @t530 () (not (= @t370 @t18))) % 77.57/77.82 (define @t531 () (or @t459 @t530)) % 77.57/77.82 (define @t532 () (forall @t7 @t531)) % 77.57/77.82 (define @t533 () (not @t532)) % 77.57/77.82 (define @t534 () (= @t374 @t533)) % 77.57/77.82 (define @t535 () (or @t393 @t534)) % 77.57/77.82 (define @t536 () (forall @t9 (or @t218 @t526))) % 77.57/77.82 (define @t537 () (forall @t7 (or @t459 (not (= @t18 @t370))))) % 77.57/77.82 (define @t538 () (not @t537)) % 77.57/77.82 (define @t539 () (= @t374 @t538)) % 77.57/77.82 (define @t540 () (or @t393 @t539)) % 77.57/77.82 (define @t541 () (@quantifiers_skolemize @t537 0)) % 77.57/77.82 (define @t542 () (tptp.ssItem @t541)) % 77.57/77.82 (define @t543 () (tptp.cons @t541 tptp.nil)) % 77.57/77.82 (define @t544 () (= @t370 @t543)) % 77.57/77.82 (define @t545 () (not @t544)) % 77.57/77.82 (define @t546 () (not @t542)) % 77.57/77.82 (define @t547 () (or @t546 @t545)) % 77.57/77.82 (define @t548 () (@var "BOUND_VARIABLE_9340" $$unsorted)) % 77.57/77.82 (define @t549 () (= @t548 (tptp.hd (tptp.cons @t548 @t2)))) % 77.57/77.82 (define @t550 () (not (tptp.ssItem @t548))) % 77.57/77.82 (define @t551 () (or @t550 @t549)) % 77.57/77.82 (define @t552 () (or @t218 @t551)) % 77.57/77.82 (define @t553 () (forall (@list @t2 @t548) @t552)) % 77.57/77.82 (define @t554 () (@list @t548)) % 77.57/77.82 (define @t555 () (forall @t554 @t552)) % 77.57/77.82 (define @t556 () (forall @t554 @t551)) % 77.57/77.82 (define @t557 () (or @t218 @t556)) % 77.57/77.82 (define @t558 () (= @t1 @t83)) % 77.57/77.82 (define @t559 () (forall @t7 (or @t459 @t558))) % 77.57/77.82 (define @t560 () (= @t541 (tptp.hd @t543))) % 77.57/77.82 (define @t561 () (or @t462 @t546 @t560)) % 77.57/77.82 (define @t562 () (@var "BOUND_VARIABLE_8904" $$unsorted)) % 77.57/77.82 (define @t563 () (@var "BOUND_VARIABLE_8898" $$unsorted)) % 77.57/77.82 (define @t564 () (@var "BOUND_VARIABLE_8902" $$unsorted)) % 77.57/77.82 (define @t565 () (@var "BOUND_VARIABLE_8900" $$unsorted)) % 77.57/77.82 (define @t566 () (tptp.app (tptp.app @t565 (tptp.cons @t1 @t564)) (tptp.cons @t563 @t562))) % 77.57/77.82 (define @t567 () (not (= @t2 @t566))) % 77.57/77.82 (define @t568 () (not (tptp.ssList @t562))) % 77.57/77.82 (define @t569 () (not (tptp.ssList @t564))) % 77.57/77.82 (define @t570 () (not (tptp.ssList @t565))) % 77.57/77.82 (define @t571 () (tptp.lt @t1 @t563)) % 77.57/77.82 (define @t572 () (not (tptp.ssItem @t563))) % 77.57/77.82 (define @t573 () (or @t459 @t572 @t571 @t570 @t569 @t568 @t567)) % 77.57/77.82 (define @t574 () (@list @t1 @t563 @t565 @t564 @t562)) % 77.57/77.82 (define @t575 () (= @t55 (forall @t574 @t573))) % 77.57/77.82 (define @t576 () (or @t572 @t571 @t570 @t569 @t568 @t567)) % 77.57/77.82 (define @t577 () (or @t459 @t576)) % 77.57/77.82 (define @t578 () (forall @t574 @t577)) % 77.57/77.82 (define @t579 () (@list @t563 @t565 @t564 @t562)) % 77.57/77.82 (define @t580 () (forall @t579 @t577)) % 77.57/77.82 (define @t581 () (forall @t579 @t576)) % 77.57/77.82 (define @t582 () (@var "BOUND_VARIABLE_8874" $$unsorted)) % 77.57/77.82 (define @t583 () (@var "BOUND_VARIABLE_8872" $$unsorted)) % 77.57/77.82 (define @t584 () (@var "BOUND_VARIABLE_8870" $$unsorted)) % 77.57/77.82 (define @t585 () (or @t459 @t581)) % 77.57/77.82 (define @t586 () (not (= @t2 (tptp.app (tptp.app @t584 (tptp.cons @t1 @t583)) (tptp.cons @t12 @t582))))) % 77.57/77.82 (define @t587 () (not (tptp.ssList @t582))) % 77.57/77.82 (define @t588 () (not (tptp.ssList @t583))) % 77.57/77.82 (define @t589 () (not (tptp.ssList @t584))) % 77.57/77.82 (define @t590 () (not @t42)) % 77.57/77.82 (define @t591 () (or @t590 @t43 @t589 @t588 @t587 @t586)) % 77.57/77.82 (define @t592 () (@list @t12 @t584 @t583 @t582)) % 77.57/77.82 (define @t593 () (forall @t592 @t591)) % 77.57/77.82 (define @t594 () (or @t589 @t588 @t587 @t586)) % 77.57/77.82 (define @t595 () (or @t590 @t43 @t594)) % 77.57/77.82 (define @t596 () (forall @t592 @t595)) % 77.57/77.82 (define @t597 () (@list @t584 @t583 @t582)) % 77.57/77.82 (define @t598 () (forall @t597 @t595)) % 77.57/77.82 (define @t599 () (forall @t597 @t594)) % 77.57/77.82 (define @t600 () (@var "BOUND_VARIABLE_8497" $$unsorted)) % 77.57/77.82 (define @t601 () (@var "BOUND_VARIABLE_8495" $$unsorted)) % 77.57/77.82 (define @t602 () (or @t590 @t43 @t599)) % 77.57/77.82 (define @t603 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t601)) (tptp.cons @t12 @t600))))) % 77.57/77.82 (define @t604 () (not (tptp.ssList @t600))) % 77.57/77.82 (define @t605 () (not (tptp.ssList @t601))) % 77.57/77.82 (define @t606 () (or @t275 @t605 @t604 @t603)) % 77.57/77.82 (define @t607 () (@list @t10 @t601 @t600)) % 77.57/77.82 (define @t608 () (forall @t607 @t606)) % 77.57/77.82 (define @t609 () (or @t590 @t43 @t608)) % 77.57/77.82 (define @t610 () (or @t43 @t608)) % 77.57/77.82 (define @t611 () (or @t605 @t604 @t603)) % 77.57/77.82 (define @t612 () (or @t275 @t611)) % 77.57/77.82 (define @t613 () (forall @t607 @t612)) % 77.57/77.82 (define @t614 () (@list @t601 @t600)) % 77.57/77.82 (define @t615 () (forall @t614 @t612)) % 77.57/77.82 (define @t616 () (forall @t614 @t611)) % 77.57/77.82 (define @t617 () (@var "BOUND_VARIABLE_8473" $$unsorted)) % 77.57/77.82 (define @t618 () (or @t275 @t616)) % 77.57/77.82 (define @t619 () (not (= @t2 (tptp.app @t35 (tptp.cons @t12 @t617))))) % 77.57/77.82 (define @t620 () (not (tptp.ssList @t617))) % 77.57/77.82 (define @t621 () (not @t40)) % 77.57/77.82 (define @t622 () (or @t621 @t620 @t619)) % 77.57/77.82 (define @t623 () (@list @t34 @t617)) % 77.57/77.82 (define @t624 () (forall @t623 @t622)) % 77.57/77.82 (define @t625 () (or @t275 @t624)) % 77.57/77.82 (define @t626 () (forall @t14 @t625)) % 77.57/77.82 (define @t627 () (or @t43 @t626)) % 77.57/77.82 (define @t628 () (or @t43 @t625)) % 77.57/77.82 (define @t629 () (or @t275 @t43 @t624)) % 77.57/77.82 (define @t630 () (or @t43 @t624)) % 77.57/77.82 (define @t631 () (or @t620 @t619)) % 77.57/77.82 (define @t632 () (or @t621 @t631)) % 77.57/77.82 (define @t633 () (forall @t623 @t632)) % 77.57/77.82 (define @t634 () (@list @t617)) % 77.57/77.82 (define @t635 () (forall @t634 @t632)) % 77.57/77.82 (define @t636 () (forall @t634 @t631)) % 77.57/77.82 (define @t637 () (or @t621 @t636)) % 77.57/77.82 (define @t638 () (= @t2 @t36)) % 77.57/77.82 (define @t639 () (not @t638)) % 77.57/77.82 (define @t640 () (not @t38)) % 77.57/77.82 (define @t641 () (or @t640 @t639)) % 77.57/77.82 (define @t642 () (forall @t39 @t641)) % 77.57/77.82 (define @t643 () (or @t621 @t642)) % 77.57/77.82 (define @t644 () (forall @t41 @t643)) % 77.57/77.82 (define @t645 () (or @t43 @t644)) % 77.57/77.82 (define @t646 () (or @t43 @t643)) % 77.57/77.82 (define @t647 () (or @t621 @t43 @t642)) % 77.57/77.82 (define @t648 () (or @t43 @t642)) % 77.57/77.82 (define @t649 () (or @t43 @t641)) % 77.57/77.82 (define @t650 () (or @t640 @t639 @t43)) % 77.57/77.82 (define @t651 () (=> @t638 @t43)) % 77.57/77.82 (define @t652 () (not (= @t370 @t566))) % 77.57/77.82 (define @t653 () (or @t459 @t572 @t571 @t570 @t569 @t568 @t652)) % 77.57/77.82 (define @t654 () (forall @t574 @t653)) % 77.57/77.82 (define @t655 () (tptp.strictorderedP @t370)) % 77.57/77.82 (define @t656 () (= @t655 @t654)) % 77.57/77.82 (define @t657 () (or @t393 @t656)) % 77.57/77.82 (define @t658 () (forall @t9 (or @t218 @t575))) % 77.57/77.82 (define @t659 () (forall @t574 (or @t459 @t572 @t571 @t570 @t569 @t568 (not (= @t566 @t370))))) % 77.57/77.82 (define @t660 () (= @t655 @t659)) % 77.57/77.82 (define @t661 () (or @t393 @t660)) % 77.57/77.82 (define @t662 () (@var "BOUND_VARIABLE_10549" $$unsorted)) % 77.57/77.82 (define @t663 () (= (tptp.cons @t662 @t2) (tptp.app (tptp.cons @t662 tptp.nil) @t2))) % 77.57/77.82 (define @t664 () (not (tptp.ssItem @t662))) % 77.57/77.82 (define @t665 () (or @t218 @t664 @t663)) % 77.57/77.82 (define @t666 () (or @t664 @t663)) % 77.57/77.82 (define @t667 () (or @t218 @t666)) % 77.57/77.82 (define @t668 () (@list @t2 @t662)) % 77.57/77.82 (define @t669 () (forall @t668 @t667)) % 77.57/77.82 (define @t670 () (@list @t662)) % 77.57/77.82 (define @t671 () (forall @t670 @t667)) % 77.57/77.82 (define @t672 () (forall @t670 @t666)) % 77.57/77.82 (define @t673 () (or @t218 @t672)) % 77.57/77.82 (define @t674 () (forall @t7 (or @t459 @t131))) % 77.57/77.82 (define @t675 () (tptp.cons @t361 @t360)) % 77.57/77.82 (define @t676 () (tptp.app @t362 @t360)) % 77.57/77.82 (define @t677 () (or @t381 @t389 (= @t675 @t676))) % 77.57/77.82 (define @t678 () (forall @t668 @t665)) % 77.57/77.82 (define @t679 () (= @t676 @t675)) % 77.57/77.82 (define @t680 () (or @t381 @t389 @t679)) % 77.57/77.82 (define @t681 () (= @t2 @t101)) % 77.57/77.82 (define @t682 () (tptp.app tptp.nil @t363)) % 77.57/77.82 (define @t683 () (= @t363 @t682)) % 77.57/77.82 (define @t684 () (or @t383 @t683)) % 77.57/77.82 (define @t685 () (tptp.cons @t364 @t682)) % 77.57/77.82 (define @t686 () (@var "BOUND_VARIABLE_9427" $$unsorted)) % 77.57/77.82 (define @t687 () (@var "BOUND_VARIABLE_9429" $$unsorted)) % 77.57/77.82 (define @t688 () (= (tptp.cons @t687 (tptp.app @t686 @t2)) (tptp.app (tptp.cons @t687 @t686) @t2))) % 77.57/77.82 (define @t689 () (not (tptp.ssItem @t687))) % 77.57/77.82 (define @t690 () (not (tptp.ssList @t686))) % 77.57/77.82 (define @t691 () (or @t218 @t690 @t689 @t688)) % 77.57/77.82 (define @t692 () (or @t690 @t689 @t688)) % 77.57/77.82 (define @t693 () (or @t218 @t692)) % 77.57/77.82 (define @t694 () (@list @t2 @t686 @t687)) % 77.57/77.82 (define @t695 () (forall @t694 @t693)) % 77.57/77.82 (define @t696 () (@list @t686 @t687)) % 77.57/77.82 (define @t697 () (forall @t696 @t693)) % 77.57/77.82 (define @t698 () (forall @t696 @t692)) % 77.57/77.82 (define @t699 () (@var "BOUND_VARIABLE_9409" $$unsorted)) % 77.57/77.82 (define @t700 () (or @t218 @t698)) % 77.57/77.82 (define @t701 () (= (tptp.cons @t699 @t94) (tptp.app (tptp.cons @t699 @t1) @t2))) % 77.57/77.82 (define @t702 () (not (tptp.ssItem @t699))) % 77.57/77.82 (define @t703 () (or @t241 @t702 @t701)) % 77.57/77.82 (define @t704 () (@list @t1 @t699)) % 77.57/77.82 (define @t705 () (forall @t704 @t703)) % 77.57/77.82 (define @t706 () (or @t702 @t701)) % 77.57/77.82 (define @t707 () (or @t241 @t706)) % 77.57/77.82 (define @t708 () (forall @t704 @t707)) % 77.57/77.82 (define @t709 () (@list @t699)) % 77.57/77.82 (define @t710 () (forall @t709 @t707)) % 77.57/77.82 (define @t711 () (forall @t709 @t706)) % 77.57/77.82 (define @t712 () (@list @t12)) % 77.57/77.82 (define @t713 () (or @t241 @t711)) % 77.57/77.82 (define @t714 () (forall @t16 (or @t590 @t95))) % 77.57/77.82 (define @t715 () (tptp.app @t365 @t363)) % 77.57/77.82 (define @t716 () (or @t383 @t462 @t391 (= @t685 @t715))) % 77.57/77.82 (define @t717 () (forall @t694 @t691)) % 77.57/77.82 (define @t718 () (= @t715 @t685)) % 77.57/77.82 (define @t719 () (or @t383 @t462 @t391 @t718)) % 77.57/77.82 (define @t720 () (@list false false false false)) % 77.57/77.82 (define @t721 () (tptp.app @t366 @t715)) % 77.57/77.82 (define @t722 () (@var "BOUND_VARIABLE_10590" $$unsorted)) % 77.57/77.82 (define @t723 () (@var "BOUND_VARIABLE_10588" $$unsorted)) % 77.57/77.82 (define @t724 () (= (tptp.app (tptp.app @t2 @t723) @t722) (tptp.app @t2 (tptp.app @t723 @t722)))) % 77.57/77.82 (define @t725 () (not (tptp.ssList @t722))) % 77.57/77.82 (define @t726 () (not (tptp.ssList @t723))) % 77.57/77.82 (define @t727 () (or @t726 @t725 @t724)) % 77.57/77.82 (define @t728 () (or @t218 @t727)) % 77.57/77.82 (define @t729 () (forall (@list @t2 @t723 @t722) @t728)) % 77.57/77.82 (define @t730 () (@list @t723 @t722)) % 77.57/77.82 (define @t731 () (forall @t730 @t728)) % 77.57/77.82 (define @t732 () (forall @t730 @t727)) % 77.57/77.82 (define @t733 () (@var "BOUND_VARIABLE_10570" $$unsorted)) % 77.57/77.82 (define @t734 () (or @t218 @t732)) % 77.57/77.82 (define @t735 () (= (tptp.app @t89 @t733) (tptp.app @t2 (tptp.app @t1 @t733)))) % 77.57/77.82 (define @t736 () (not (tptp.ssList @t733))) % 77.57/77.82 (define @t737 () (or @t241 @t736 @t735)) % 77.57/77.82 (define @t738 () (@list @t1 @t733)) % 77.57/77.82 (define @t739 () (forall @t738 @t737)) % 77.57/77.82 (define @t740 () (or @t736 @t735)) % 77.57/77.82 (define @t741 () (or @t241 @t740)) % 77.57/77.82 (define @t742 () (forall @t738 @t741)) % 77.57/77.82 (define @t743 () (@list @t733)) % 77.57/77.82 (define @t744 () (forall @t743 @t741)) % 77.57/77.82 (define @t745 () (forall @t743 @t740)) % 77.57/77.82 (define @t746 () (or @t241 @t745)) % 77.57/77.82 (define @t747 () (forall @t16 (or @t264 @t135))) % 77.57/77.82 (define @t748 () (= @t368 @t721)) % 77.57/77.82 (define @t749 () (or @t385 @t466 @t383 @t748)) % 77.57/77.82 (define @t750 () (tptp.app @t368 @t676)) % 77.57/77.82 (define @t751 () (= @t370 @t750)) % 77.57/77.82 (define @t752 () (or @t475 @t474 @t381 @t751)) % 77.57/77.82 (define @t753 () (@var "BOUND_VARIABLE_9563" $$unsorted)) % 77.57/77.82 (define @t754 () (not (tptp.lt @t753 @t2))) % 77.57/77.82 (define @t755 () (not (tptp.lt @t2 @t753))) % 77.57/77.82 (define @t756 () (not (tptp.ssItem @t753))) % 77.57/77.82 (define @t757 () (not @t8)) % 77.57/77.82 (define @t758 () (or @t756 @t755 @t754)) % 77.57/77.82 (define @t759 () (or @t757 @t758)) % 77.57/77.82 (define @t760 () (forall (@list @t2 @t753) @t759)) % 77.57/77.82 (define @t761 () (@list @t753)) % 77.57/77.82 (define @t762 () (forall @t761 @t759)) % 77.57/77.82 (define @t763 () (forall @t761 @t758)) % 77.57/77.82 (define @t764 () (or @t757 @t763)) % 77.57/77.82 (define @t765 () (not @t109)) % 77.57/77.82 (define @t766 () (or @t459 @t765 @t108)) % 77.57/77.82 (define @t767 () (forall @t7 @t766)) % 77.57/77.83 (define @t768 () (tptp.lt @t364 @t361)) % 77.57/77.83 (define @t769 () (not @t768)) % 77.57/77.83 (define @t770 () (or @t389 @t391 @t387 @t769)) % 77.57/77.83 (define @t771 () (tptp.app (tptp.app @t366 (tptp.cons @t364 @t363)) @t675)) % 77.57/77.83 (define @t772 () (= @t370 @t771)) % 77.57/77.83 (define @t773 () (not @t772)) % 77.57/77.83 (define @t774 () (or @t391 @t389 @t768 @t385 @t383 @t381 @t773)) % 77.57/77.83 (define @t775 () (not @t774)) % 77.57/77.83 (define @t776 () (not (= @t771 @t370))) % 77.57/77.83 (define @t777 () (or @t391 @t389 @t768 @t385 @t383 @t381 @t776)) % 77.57/77.83 (define @t778 () (not @t655)) % 77.57/77.83 (define @t779 () (tptp.hd @t370)) % 77.57/77.83 (define @t780 () (or @t218 @t397 @t78)) % 77.57/77.83 (define @t781 () (not @t397)) % 77.57/77.83 (define @t782 () (=> @t781 @t78)) % 77.57/77.83 (define @t783 () (tptp.ssItem @t779)) % 77.57/77.83 (define @t784 () (or @t393 @t400 @t783)) % 77.57/77.83 (define @t785 () (forall @t9 @t780)) % 77.57/77.83 (define @t786 () (or @t393 @t404 @t783)) % 77.57/77.83 (define @t787 () (@list false true false)) % 77.57/77.83 (define @t788 () (tptp.cons @t779 tptp.nil)) % 77.57/77.83 (define @t789 () (tptp.strictorderedP @t788)) % 77.57/77.83 (define @t790 () (not @t783)) % 77.57/77.83 (define @t791 () (or @t790 @t789)) % 77.57/77.83 (define @t792 () (not @t789)) % 77.57/77.83 (define @t793 () (not @t560)) % 77.57/77.83 (define @t794 () (= true false)) % 77.57/77.83 (define @t795 () (not @t547)) % 77.57/77.83 (define @t796 () (not (= @t543 @t370))) % 77.57/77.83 (define @t797 () (or @t546 @t796)) % 77.57/77.83 (define @t798 () (not @t797)) % 77.57/77.83 (define @t799 () (not @t373)) % 77.57/77.83 (define @t800 () (not @t523)) % 77.57/77.83 (define @t801 () (and @t503 @t521 @t372)) % 77.57/77.83 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 77.57/77.83 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 77.57/77.83 (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))))))))))) % 77.57/77.83 (assume @p4 @t24) % 77.57/77.83 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 77.57/77.83 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 77.57/77.83 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 77.57/77.83 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 (not (and @t32 @t31))))))))))))))))) % 77.57/77.83 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 (or @t32 @t31)))))))))))))))) % 77.57/77.83 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 (or @t43 (tptp.lt @t12 @t1))))))))))))))))) % 77.57/77.83 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 @t32))))))))))))))) % 77.57/77.83 (assume @p12 @t58) % 77.57/77.83 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 (not @t59)))))))))))))))) % 77.57/77.83 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t59))))))))))))) % 77.57/77.83 (assume @p15 @t62) % 77.57/77.83 (assume @p16 @t67) % 77.57/77.83 (assume @p17 @t68) % 77.57/77.83 (assume @p18 @t73) % 77.57/77.83 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t42 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t74))))))))))) % 77.57/77.83 (assume @p20 (forall @t9 (=> @t17 (or @t76 (exists @t7 (and @t27 (exists @t16 (and @t42 (= @t75 @t2))))))))) % 77.57/77.83 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t63))))))) % 77.57/77.83 (assume @p22 @t82) % 77.57/77.83 (assume @p23 @t87) % 77.57/77.83 (assume @p24 (forall @t9 (=> @t17 (=> @t79 (tptp.ssList @t88))))) % 77.57/77.83 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t63) @t2)))))) % 77.57/77.83 (assume @p26 @t93) % 77.57/77.83 (assume @p27 @t100) % 77.57/77.83 (assume @p28 @t103) % 77.57/77.83 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t105 @t104) @t3)))))) % 77.57/77.83 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t105 @t32) (tptp.leq @t2 @t12))))))))) % 77.57/77.83 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 77.57/77.83 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t106 @t104)))))) % 77.57/77.83 (assume @p33 @t113) % 77.57/77.83 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t109 @t43) @t114)))))))) % 77.57/77.83 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t115 @t107)))))) % 77.57/77.83 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t116))))))))) % 77.57/77.83 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t116))))))))) % 77.57/77.83 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 77.57/77.83 (assume @p39 (not (tptp.singletonP tptp.nil))) % 77.57/77.83 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 77.57/77.83 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 77.57/77.83 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 77.57/77.83 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 77.57/77.83 (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)))))))))))) % 77.57/77.83 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 77.57/77.83 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t76)))) % 77.57/77.83 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 77.57/77.83 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 77.57/77.83 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 77.57/77.83 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t117 @t1))))))))) % 77.57/77.83 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 77.57/77.83 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t76)))) % 77.57/77.83 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 @t118) (tptp.segmentP @t2 @t12))))))))) % 77.57/77.83 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 @t119) @t3)))))) % 77.57/77.83 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 77.57/77.83 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t30 (tptp.segmentP (tptp.app @t117 @t10) @t1))))))))))) % 77.57/77.83 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 77.57/77.83 (assume @p58 @t122) % 77.57/77.83 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t123)))) % 77.57/77.83 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 77.57/77.83 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t123)))) % 77.57/77.83 (assume @p62 (tptp.totalorderP tptp.nil)) % 77.57/77.83 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t123)))) % 77.57/77.83 (assume @p64 (tptp.strictorderP tptp.nil)) % 77.57/77.83 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t123)))) % 77.57/77.83 (assume @p66 (tptp.totalorderedP tptp.nil)) % 77.57/77.83 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t127) (or @t125 (and @t126 (tptp.totalorderedP @t1) (tptp.leq @t2 @t124))))))))) % 77.57/77.83 (assume @p68 @t129) % 77.57/77.83 (assume @p69 (tptp.strictorderedP tptp.nil)) % 77.57/77.83 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t127) (or @t125 (and @t126 (tptp.strictorderedP @t1) (tptp.lt @t2 @t124))))))))) % 77.57/77.83 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t123)))) % 77.57/77.83 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 77.57/77.83 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t123)))) % 77.57/77.83 (assume @p74 (tptp.equalelemsP tptp.nil)) % 77.57/77.83 (assume @p75 (forall @t9 (=> @t17 (=> @t79 (exists @t7 (and @t6 (= @t77 @t1))))))) % 77.57/77.83 (assume @p76 (forall @t9 (=> @t17 (=> @t79 (exists @t7 (and @t27 (= @t88 @t1))))))) % 77.57/77.83 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t126 @t79 (= @t124 @t77) (= (tptp.tl @t1) @t88)) @t74)))))) % 77.57/77.83 (assume @p78 (forall @t9 (=> @t17 (=> @t79 (= (tptp.cons @t77 @t88) @t2))))) % 77.57/77.83 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t89) @t130)))))))) % 77.57/77.83 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t94) @t130)))))))) % 77.57/77.83 (assume @p81 @t134) % 77.57/77.83 (assume @p82 @t140) % 77.57/77.83 (assume @p83 @t147) % 77.57/77.83 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 77.57/77.83 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t79 (= (tptp.hd @t89) @t77))))))) % 77.57/77.83 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t79 (= (tptp.tl @t89) (tptp.app @t88 @t1)))))))) % 77.57/77.83 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t106 (tptp.geq @t1 @t2)) @t3)))))) % 77.57/77.83 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t106 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 77.57/77.83 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 77.57/77.83 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 77.57/77.83 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t105 @t43) @t114)))))))) % 77.57/77.83 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t105 (or @t3 @t109))))))) % 77.57/77.83 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t109 (and @t4 @t105))))))) % 77.57/77.83 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t115 (not (tptp.gt @t1 @t2)))))))) % 77.57/77.83 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t115 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 77.57/77.83 (assume @p96 @t191) % 77.57/77.83 (assume @p97 true) % 77.57/77.83 (step @p98 :rule aci_norm :args ((= (or @t209 @t208 @t207 @t206 @t205 @t204 @t203 false @t202 @t201 @t200) @t210))) % 77.57/77.83 (step @p99 :rule refl :args (@t200)) % 77.57/77.83 (step @p100 :rule refl :args (@t201)) % 77.57/77.83 (step @p101 :rule refl :args (@t202)) % 77.57/77.83 (step @p102 :rule evaluate :args ((not true))) % 77.57/77.83 (step @p103 :rule eq-refl :args (@t199)) % 77.57/77.83 (step @p104 :rule cong :premises (@p103) :args (@t211)) % 77.57/77.83 (step @p105 :rule trans :premises (@p104 @p102)) % 77.57/77.83 (step @p106 :rule refl :args (@t203)) % 77.57/77.83 (step @p107 :rule refl :args (@t204)) % 77.57/77.83 (step @p108 :rule refl :args (@t205)) % 77.57/77.83 (step @p109 :rule refl :args (@t206)) % 77.57/77.83 (step @p110 :rule refl :args (@t207)) % 77.57/77.83 (step @p111 :rule refl :args (@t208)) % 77.57/77.83 (step @p112 :rule refl :args (@t209)) % 77.57/77.83 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p101 @p100 @p99) :args (@t212)) % 77.57/77.83 (step @p114 :rule trans :premises (@p113 @p98)) % 77.57/77.83 (step @p115 :rule cong :premises (@p114) :args ((forall @t213 @t212))) % 77.57/77.83 (step @p116 :rule quant-var-elim-eq :args ((= (forall @t9 @t219) @t212))) % 77.57/77.83 (step @p117 :rule aci_norm :args ((= @t220 @t219))) % 77.57/77.83 (step @p118 :rule cong :premises (@p117) :args (@t221)) % 77.57/77.83 (step @p119 :rule trans :premises (@p118 @p116)) % 77.57/77.83 (step @p120 :rule cong :premises (@p119) :args (@t222)) % 77.57/77.83 (step @p121 :rule quant-merge-prenex :args ((= @t222 @t223))) % 77.57/77.83 (step @p122 :rule symm :premises (@p121)) % 77.57/77.83 (step @p123 :rule quant_var_reordering :args ((= (forall @t224 @t220) @t223))) % 77.57/77.83 (step @p124 :rule trans :premises (@p123 @p122 @p120)) % 77.57/77.83 (step @p125 :rule trans :premises (@p124 @p115)) % 77.57/77.83 (step @p126 :rule aci_norm :args ((= @t227 @t220))) % 77.57/77.83 (step @p127 :rule cong :premises (@p126) :args (@t228)) % 77.57/77.83 (step @p128 :rule trans :premises (@p127 @p125)) % 77.57/77.83 (step @p129 :rule quant-merge-prenex :args ((= (forall @t9 @t229) @t228))) % 77.57/77.83 (step @p130 :rule alpha_equiv :args (@t230 (@list @t192) @t231)) % 77.57/77.83 (step @p131 :rule alpha_equiv :args (@t232 (@list @t197 @t195 @t198 @t196 @t194) (@list @t34 @t236 @t235 @t234 @t233))) % 77.57/77.83 (step @p132 :rule refl :args (@t218)) % 77.57/77.83 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args (@t237)) % 77.57/77.83 (step @p134 :rule quant-miniscope-or :args ((= @t229 @t237))) % 77.57/77.83 (step @p135 :rule trans :premises (@p134 @p133)) % 77.57/77.83 (step @p136 :rule symm :premises (@p135)) % 77.57/77.83 (step @p137 :rule cong :premises (@p136) :args ((forall @t9 @t254))) % 77.57/77.83 (step @p138 :rule trans :premises (@p137 @p129)) % 77.57/77.83 (step @p139 :rule trans :premises (@p138 @p128)) % 77.57/77.83 (step @p140 :rule aci_norm :args ((= (or @t218 @t255) @t254))) % 77.57/77.83 (step @p141 :rule bool-impl-elim :args (@t17 @t255)) % 77.57/77.83 (step @p142 :rule trans :premises (@p141 @p140)) % 77.57/77.83 (step @p143 :rule cong :premises (@p142) :args ((forall @t9 (=> @t17 @t255)))) % 77.57/77.83 (step @p144 :rule trans :premises (@p143 @p139)) % 77.57/77.83 (step @p145 :rule quant-miniscope-or :args ((= (forall @t7 @t256) @t255))) % 77.57/77.83 (step @p146 :rule aci_norm :args ((= @t257 @t256))) % 77.57/77.83 (step @p147 :rule cong :premises (@p146) :args ((forall @t7 @t257))) % 77.57/77.83 (step @p148 :rule trans :premises (@p147 @p145)) % 77.57/77.83 (step @p149 :rule aci_norm :args ((= (or @t241 @t258) @t257))) % 77.57/77.83 (step @p150 :rule bool-impl-elim :args (@t27 @t258)) % 77.57/77.83 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(step @p1062 :rule eq_resolve :premises (@p33 @p1061)) % 77.57/77.83 (step @p1063 :rule instantiate :premises (@p1062) :args ((@list @t361 @t364))) % 77.57/77.83 (step @p1064 :rule bool-double-not-elim :args (@t386)) % 77.57/77.83 (step @p1065 :rule nary_cong :premises (@p362 @p1064) :args ((or @t394 (not @t387)))) % 77.57/77.83 (step @p1066 :rule cnf_or_neg :args (@t394 3)) % 77.57/77.83 (step @p1067 :rule eq_resolve :premises (@p1066 @p1065)) % 77.57/77.83 (step @p1068 :rule reordering :premises (@p1067) :args ((or @t386 @t394))) % 77.57/77.83 (step @p1069 :rule chain_m_resolution :premises (@p1068 @p360) :args (@t386 @t395 @t396)) % 77.57/77.83 (step @p1070 :rule cnf_or_pos :args (@t770)) % 77.57/77.83 (step @p1071 :rule reordering :premises (@p1070) :args ((or @t391 @t389 @t387 @t769 (not @t770)))) % 77.57/77.83 (step @p1072 :rule chain_m_resolution :premises (@p1071 @p507 @p535 @p1069 @p1063) :args (@t769 @t720 (@list @t390 @t388 @t386 @t770))) % 77.57/77.83 (step @p1073 :rule 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:rule cong :premises (@p1109 @p1108) :args (@t80)) % 77.57/77.83 (step @p1111 :rule cong :premises (@p354 @p1110) :args (@t81)) % 77.57/77.83 (step @p1112 :rule cong :premises (@p1111) :args (@t82)) % 77.57/77.83 (step @p1113 :rule trans :premises (@p1112 @p1107)) % 77.57/77.83 (step @p1114 :rule eq_resolve :premises (@p22 @p1113)) % 77.57/77.83 (step @p1115 :rule refl :args (@t783)) % 77.57/77.83 (step @p1116 :rule nary_cong :premises (@p386 @p382 @p1115) :args (@t784)) % 77.57/77.83 (step @p1117 :rule refl :args (@t785)) % 77.57/77.83 (step @p1118 :rule cong :premises (@p1117 @p1116) :args ((=> @t785 @t784))) % 77.57/77.83 (assume-push @p1250 @t785) % 77.57/77.83 (step @p1120 :rule instantiate :premises (@p1114) :args (@t403)) % 77.57/77.83 (step-pop @p1251 :rule scope :premises (@p1120)) % 77.57/77.83 (step @p1121 :rule process_scope :premises (@p1251) :args (@t784)) % 77.57/77.83 (step @p1123 :rule eq_resolve :premises (@p1121 @p1118)) % 77.57/77.83 (step @p1124 :rule implies_elim 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(step @p1165 :rule nary_cong :premises (@p1164 @p1163) :args ((or (not @t538) @t795))) % 77.57/77.83 (step @p1166 :rule eq-symm :args (@t543 @t370)) % 77.57/77.83 (step @p1167 :rule cong :premises (@p1166) :args (@t796)) % 77.57/77.83 (step @p1168 :rule refl :args (@t546)) % 77.57/77.83 (step @p1169 :rule nary_cong :premises (@p1168 @p1167) :args (@t797)) % 77.57/77.83 (step @p1170 :rule cong :premises (@p1169) :args (@t798)) % 77.57/77.83 (step @p1171 :rule refl :args (@t538)) % 77.57/77.83 (step @p1172 :rule cong :premises (@p1171 @p1170) :args ((=> @t538 @t798))) % 77.57/77.83 (assume-push @p1260 @t538) % 77.57/77.83 (step @p1174 :rule skolemize :premises (@p1260)) % 77.57/77.83 (step-pop @p1261 :rule scope :premises (@p1174)) % 77.57/77.83 (step @p1175 :rule process_scope :premises (@p1261) :args (@t798)) % 77.57/77.83 (step @p1177 :rule eq_resolve :premises (@p1175 @p1172)) % 77.57/77.83 (step @p1178 :rule implies_elim :premises (@p1177)) % 77.57/77.83 (step @p1179 :rule eq_resolve :premises (@p1178 @p1165)) % 77.57/77.83 (step @p1180 :rule chain_m_resolution :premises (@p1179 @p1162) :args (@t537 @t407 (@list @t547))) % 77.57/77.83 (step @p1181 :rule cnf_equiv_pos1 :args (@t539)) % 77.57/77.83 (step @p1182 :rule reordering :premises (@p1181) :args ((or @t375 @t538 (not @t539)))) % 77.57/77.83 (step @p1183 :rule chain_m_resolution :premises (@p1182 @p1180 @p699) :args (@t375 @t408 (@list @t537 @t539))) % 77.57/77.83 (step @p1184 :rule refl :args (@t799)) % 77.57/77.83 (step @p1185 :rule bool-double-not-elim :args (@t374)) % 77.57/77.83 (step @p1186 :rule refl :args (@t376)) % 77.57/77.83 (step @p1187 :rule nary_cong :premises (@p1186 @p1185 @p1184) :args ((or @t376 (not @t375) @t799))) % 77.57/77.83 (step @p1188 :rule cnf_and_neg :args (@t376)) % 77.57/77.83 (step @p1189 :rule eq_resolve :premises (@p1188 @p1187)) % 77.57/77.83 (step @p1190 :rule reordering :premises (@p1189) :args ((or @t374 @t376 @t799))) % 77.57/77.83 (step @p1191 :rule chain_m_resolution :premises (@p1190 @p1183 @p661) :args (@t799 (@list true true) (@list @t374 @t376))) % 77.57/77.83 (step @p1192 :rule bool-double-not-elim :args (@t521)) % 77.57/77.83 (step @p1193 :rule refl :args (@t800)) % 77.57/77.83 (step @p1194 :rule nary_cong :premises (@p1193 @p637 @p1192) :args ((or @t800 @t373 (not @t522)))) % 77.57/77.83 (step @p1195 :rule cnf_equiv_pos2 :args (@t523)) % 77.57/77.83 (step @p1196 :rule eq_resolve :premises (@p1195 @p1194)) % 77.57/77.83 (step @p1197 :rule reordering :premises (@p1196) :args ((or @t373 @t521 @t800))) % 77.57/77.83 (step @p1198 :rule chain_m_resolution :premises (@p1197 @p1191 @p659) :args (@t521 @t500 (@list @t373 @t523))) % 77.57/77.83 (step @p1199 :rule bool-double-not-elim :args (@t399)) % 77.57/77.83 (step @p1200 :rule refl :args (@t522)) % 77.57/77.83 (step @p1201 :rule refl :args (@t377)) % 77.57/77.83 (step @p1202 :rule nary_cong :premises (@p1201 @p1200 @p1199) :args ((or @t377 @t522 (not @t503)))) % 77.57/77.83 (assume-push @p1262 @t503) % 77.57/77.83 (assume-push @p1263 @t521) % 77.57/77.83 (assume-push @p1264 @t372) % 77.57/77.83 (step @p1141 :rule evaluate :args (@t794)) % 77.57/77.83 (step @p1206 :rule false_intro :premises (@p614)) % 77.57/77.83 (step @p1207 :rule refl :args (@t370)) % 77.57/77.83 (step @p1208 :rule symm :premises (@p1263)) % 77.57/77.83 (step @p1209 :rule cong :premises (@p1208 @p1207) :args (@t372)) % 77.57/77.83 (step @p1210 :rule true_intro :premises (@p367)) % 77.57/77.83 (step @p1211 :rule symm :premises (@p1210)) % 77.57/77.83 (step @p1212 :rule trans :premises (@p1211 @p1209 @p1206)) % 77.57/77.83 (step @p1213 false :rule eq_resolve :premises (@p1212 @p1141)) % 77.57/77.83 (step-pop @p1265 :rule scope :premises (@p1213)) % 77.57/77.83 (step-pop @p1266 :rule scope :premises (@p1265)) % 77.57/77.83 (step-pop @p1267 :rule scope :premises (@p1266)) % 77.57/77.83 (step @p1214 :rule process_scope :premises (@p1267) :args (false)) % 77.57/77.83 (assume-push @p1268 @t372) % 77.57/77.83 (assume-push @p1269 @t521) % 77.57/77.83 (assume-push @p1270 @t503) % 77.57/77.83 (step @p1221 :rule and_intro :premises (@p614 @p1269 @p367)) % 77.57/77.83 (step-pop @p1271 :rule scope :premises (@p1221)) % 77.57/77.83 (step-pop @p1272 :rule scope :premises (@p1271)) % 77.57/77.83 (step-pop @p1273 :rule scope :premises (@p1272)) % 77.57/77.83 (step @p1222 :rule process_scope :premises (@p1273) :args (@t801)) % 77.57/77.83 (step @p1226 :rule implies_elim :premises (@p1222)) % 77.57/77.83 (step @p1227 :rule resolution :premises (@p1226 @p1214) :args (true @t801)) % 77.57/77.83 (step @p1228 :rule not_and :premises (@p1227)) % 77.57/77.83 (step @p1229 :rule eq_resolve :premises (@p1228 @p1202)) % 77.57/77.83 (step @p1230 :rule reordering :premises (@p1229) :args ((or @t377 @t399 @t522))) % 77.57/77.83 (step @p1231 false :rule chain_m_resolution :premises (@p1230 @p1198 @p614 @p367) :args (false @t787 (@list @t521 @t399 @t372))) % 77.57/77.83 ) % 77.57/77.83 % SZS output end Proof % 77.57/77.83 % cvc5 exiting %------------------------------------------------------------------------------