%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC388+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 : n012.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 08:59:07 AM UTC 2026 % Result : Theorem 78.31s 78.50s % Output : Proof 78.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC388+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 19:45:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 78.31/78.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 78.31/78.50 --- Run --no-e-matching --full-saturate-quant at 6... % 78.31/78.50 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 78.31/78.50 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 78.31/78.50 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 78.31/78.50 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.31/78.50 % SZS status Theorem % 78.31/78.50 % SZS output start Proof % 78.31/78.50 ( % 78.31/78.50 (declare-sort $$unsorted 0) % 78.31/78.50 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 78.31/78.50 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 78.31/78.50 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 78.31/78.50 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 78.31/78.50 (declare-const tptp.nil $$unsorted) % 78.31/78.50 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.ssList (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 78.31/78.50 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 78.31/78.50 (define @t1 () (@var "V" $$unsorted)) % 78.31/78.50 (define @t2 () (@var "U" $$unsorted)) % 78.31/78.50 (define @t3 () (= @t2 @t1)) % 78.31/78.50 (define @t4 () (not @t3)) % 78.31/78.50 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 78.31/78.50 (define @t6 () (tptp.ssItem @t1)) % 78.31/78.50 (define @t7 () (@list @t1)) % 78.31/78.50 (define @t8 () (tptp.ssItem @t2)) % 78.31/78.50 (define @t9 () (@list @t2)) % 78.31/78.50 (define @t10 () (@var "X" $$unsorted)) % 78.31/78.50 (define @t11 () (tptp.cons @t1 @t10)) % 78.31/78.50 (define @t12 () (@var "W" $$unsorted)) % 78.31/78.50 (define @t13 () (tptp.ssList @t10)) % 78.31/78.50 (define @t14 () (@list @t10)) % 78.31/78.50 (define @t15 () (tptp.ssList @t12)) % 78.31/78.50 (define @t16 () (@list @t12)) % 78.31/78.50 (define @t17 () (tptp.ssList @t2)) % 78.31/78.50 (define @t18 () (tptp.cons @t1 tptp.nil)) % 78.31/78.50 (define @t19 () (and @t6 (= @t18 @t2))) % 78.31/78.50 (define @t20 () (exists @t7 @t19)) % 78.31/78.50 (define @t21 () (tptp.singletonP @t2)) % 78.31/78.50 (define @t22 () (= @t21 @t20)) % 78.31/78.50 (define @t23 () (=> @t17 @t22)) % 78.31/78.50 (define @t24 () (forall @t9 @t23)) % 78.31/78.50 (define @t25 () (tptp.app @t1 @t12)) % 78.31/78.50 (define @t26 () (tptp.frontsegP @t2 @t1)) % 78.31/78.50 (define @t27 () (tptp.ssList @t1)) % 78.31/78.50 (define @t28 () (tptp.app @t12 @t1)) % 78.31/78.50 (define @t29 () (tptp.rearsegP @t2 @t1)) % 78.31/78.50 (define @t30 () (tptp.app @t28 @t10)) % 78.31/78.50 (define @t31 () (and @t13 (= @t30 @t2))) % 78.31/78.50 (define @t32 () (exists @t14 @t31)) % 78.31/78.50 (define @t33 () (and @t15 @t32)) % 78.31/78.50 (define @t34 () (exists @t16 @t33)) % 78.31/78.50 (define @t35 () (tptp.segmentP @t2 @t1)) % 78.31/78.50 (define @t36 () (= @t35 @t34)) % 78.31/78.50 (define @t37 () (=> @t27 @t36)) % 78.31/78.50 (define @t38 () (forall @t7 @t37)) % 78.31/78.50 (define @t39 () (=> @t17 @t38)) % 78.31/78.50 (define @t40 () (forall @t9 @t39)) % 78.31/78.50 (define @t41 () (tptp.leq @t12 @t1)) % 78.31/78.50 (define @t42 () (tptp.leq @t1 @t12)) % 78.31/78.50 (define @t43 () (@var "Z" $$unsorted)) % 78.31/78.50 (define @t44 () (@var "Y" $$unsorted)) % 78.31/78.50 (define @t45 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t44)) (tptp.cons @t12 @t43)) @t2)) % 78.31/78.50 (define @t46 () (tptp.ssList @t43)) % 78.31/78.50 (define @t47 () (@list @t43)) % 78.31/78.50 (define @t48 () (tptp.ssList @t44)) % 78.31/78.50 (define @t49 () (@list @t44)) % 78.31/78.50 (define @t50 () (tptp.ssItem @t12)) % 78.31/78.50 (define @t51 () (tptp.lt @t1 @t12)) % 78.31/78.50 (define @t52 () (= @t1 @t12)) % 78.31/78.50 (define @t53 () (forall @t7 (=> @t27 @t5))) % 78.31/78.50 (define @t54 () (=> @t17 @t53)) % 78.31/78.50 (define @t55 () (forall @t9 @t54)) % 78.31/78.50 (define @t56 () (tptp.cons @t1 @t2)) % 78.31/78.50 (define @t57 () (tptp.ssList tptp.nil)) % 78.31/78.50 (define @t58 () (= @t1 @t2)) % 78.31/78.50 (define @t59 () (tptp.cons @t12 @t1)) % 78.31/78.50 (define @t60 () (and @t50 (= @t59 @t2))) % 78.31/78.50 (define @t61 () (exists @t16 @t60)) % 78.31/78.50 (define @t62 () (and @t27 @t61)) % 78.31/78.50 (define @t63 () (exists @t7 @t62)) % 78.31/78.50 (define @t64 () (= tptp.nil @t2)) % 78.31/78.50 (define @t65 () (or @t64 @t63)) % 78.31/78.50 (define @t66 () (=> @t17 @t65)) % 78.31/78.50 (define @t67 () (forall @t9 @t66)) % 78.31/78.50 (define @t68 () (tptp.hd @t2)) % 78.31/78.50 (define @t69 () (tptp.ssItem @t68)) % 78.31/78.50 (define @t70 () (not @t64)) % 78.31/78.50 (define @t71 () (=> @t70 @t69)) % 78.31/78.50 (define @t72 () (=> @t17 @t71)) % 78.31/78.50 (define @t73 () (forall @t9 @t72)) % 78.31/78.50 (define @t74 () (tptp.hd @t56)) % 78.31/78.50 (define @t75 () (=> @t6 (= @t74 @t1))) % 78.31/78.50 (define @t76 () (forall @t7 @t75)) % 78.31/78.50 (define @t77 () (=> @t17 @t76)) % 78.31/78.50 (define @t78 () (forall @t9 @t77)) % 78.31/78.50 (define @t79 () (tptp.tl @t2)) % 78.31/78.50 (define @t80 () (tptp.ssList @t79)) % 78.31/78.50 (define @t81 () (=> @t70 @t80)) % 78.31/78.50 (define @t82 () (=> @t17 @t81)) % 78.31/78.50 (define @t83 () (forall @t9 @t82)) % 78.31/78.50 (define @t84 () (tptp.tl @t56)) % 78.31/78.50 (define @t85 () (=> @t6 (= @t84 @t2))) % 78.31/78.50 (define @t86 () (forall @t7 @t85)) % 78.31/78.50 (define @t87 () (=> @t17 @t86)) % 78.31/78.50 (define @t88 () (forall @t9 @t87)) % 78.31/78.50 (define @t89 () (tptp.app @t2 @t1)) % 78.31/78.50 (define @t90 () (tptp.ssList @t89)) % 78.31/78.50 (define @t91 () (forall @t7 (=> @t27 @t90))) % 78.31/78.50 (define @t92 () (=> @t17 @t91)) % 78.31/78.50 (define @t93 () (forall @t9 @t92)) % 78.31/78.50 (define @t94 () (tptp.app @t1 @t2)) % 78.31/78.50 (define @t95 () (tptp.app tptp.nil @t2)) % 78.31/78.50 (define @t96 () (=> @t17 (= @t95 @t2))) % 78.31/78.50 (define @t97 () (forall @t9 @t96)) % 78.31/78.50 (define @t98 () (tptp.leq @t1 @t2)) % 78.31/78.50 (define @t99 () (tptp.leq @t2 @t1)) % 78.31/78.50 (define @t100 () (tptp.geq @t2 @t1)) % 78.31/78.50 (define @t101 () (tptp.lt @t1 @t2)) % 78.31/78.50 (define @t102 () (tptp.lt @t2 @t1)) % 78.31/78.50 (define @t103 () (tptp.lt @t2 @t12)) % 78.31/78.50 (define @t104 () (tptp.gt @t2 @t1)) % 78.31/78.50 (define @t105 () (tptp.memberP @t12 @t2)) % 78.31/78.50 (define @t106 () (tptp.memberP @t1 @t2)) % 78.31/78.50 (define @t107 () (= (tptp.memberP @t25 @t2) (or @t106 @t105))) % 78.31/78.50 (define @t108 () (forall @t16 (=> @t15 @t107))) % 78.31/78.50 (define @t109 () (=> @t27 @t108)) % 78.31/78.50 (define @t110 () (forall @t7 @t109)) % 78.31/78.50 (define @t111 () (=> @t8 @t110)) % 78.31/78.50 (define @t112 () (forall @t9 @t111)) % 78.31/78.50 (define @t113 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t105))) % 78.31/78.50 (define @t114 () (forall @t16 (=> @t15 @t113))) % 78.31/78.50 (define @t115 () (=> @t6 @t114)) % 78.31/78.50 (define @t116 () (forall @t7 @t115)) % 78.31/78.50 (define @t117 () (=> @t8 @t116)) % 78.31/78.50 (define @t118 () (forall @t9 @t117)) % 78.31/78.50 (define @t119 () (tptp.singletonP tptp.nil)) % 78.31/78.50 (define @t120 () (not @t119)) % 78.31/78.50 (define @t121 () (tptp.app @t12 @t2)) % 78.31/78.50 (define @t122 () (tptp.segmentP @t1 @t12)) % 78.31/78.50 (define @t123 () (tptp.segmentP @t1 @t2)) % 78.31/78.50 (define @t124 () (tptp.segmentP @t2 @t2)) % 78.31/78.50 (define @t125 () (forall @t9 (=> @t17 @t124))) % 78.31/78.50 (define @t126 () (tptp.segmentP tptp.nil @t2)) % 78.31/78.50 (define @t127 () (=> @t17 (= @t126 @t64))) % 78.31/78.50 (define @t128 () (forall @t9 @t127)) % 78.31/78.50 (define @t129 () (tptp.cons @t2 tptp.nil)) % 78.31/78.50 (define @t130 () (tptp.hd @t1)) % 78.31/78.50 (define @t131 () (= tptp.nil @t1)) % 78.31/78.50 (define @t132 () (not @t131)) % 78.31/78.50 (define @t133 () (tptp.cons @t2 @t1)) % 78.31/78.50 (define @t134 () (= @t12 @t2)) % 78.31/78.50 (define @t135 () (and @t131 @t64)) % 78.31/78.50 (define @t136 () (= tptp.nil @t89)) % 78.31/78.50 (define @t137 () (= @t136 @t135)) % 78.31/78.50 (define @t138 () (=> @t27 @t137)) % 78.31/78.50 (define @t139 () (forall @t7 @t138)) % 78.31/78.50 (define @t140 () (=> @t17 @t139)) % 78.31/78.50 (define @t141 () (forall @t9 @t140)) % 78.31/78.50 (define @t142 () (tptp.hd @t89)) % 78.31/78.50 (define @t143 () (=> @t70 (= @t142 @t68))) % 78.31/78.50 (define @t144 () (=> @t27 @t143)) % 78.31/78.50 (define @t145 () (forall @t7 @t144)) % 78.31/78.50 (define @t146 () (=> @t17 @t145)) % 78.31/78.50 (define @t147 () (forall @t9 @t146)) % 78.31/78.50 (define @t148 () (= (tptp.tl @t89) (tptp.app @t79 @t1))) % 78.31/78.50 (define @t149 () (=> @t70 @t148)) % 78.31/78.50 (define @t150 () (=> @t27 @t149)) % 78.31/78.50 (define @t151 () (forall @t7 @t150)) % 78.31/78.50 (define @t152 () (=> @t17 @t151)) % 78.31/78.50 (define @t153 () (forall @t9 @t152)) % 78.31/78.50 (define @t154 () (not (tptp.singletonP @t12))) % 78.31/78.50 (define @t155 () (and @t154 (tptp.neq @t10 tptp.nil))) % 78.31/78.50 (define @t156 () (tptp.memberP @t1 @t44)) % 78.31/78.50 (define @t157 () (tptp.cons @t44 tptp.nil)) % 78.31/78.50 (define @t158 () (tptp.ssItem @t44)) % 78.31/78.50 (define @t159 () (and @t158 (= @t157 @t2) @t156)) % 78.31/78.50 (define @t160 () (exists @t49 @t159)) % 78.31/78.50 (define @t161 () (not (tptp.segmentP @t10 @t12))) % 78.31/78.50 (define @t162 () (not (= @t2 @t12))) % 78.31/78.50 (define @t163 () (not (= @t1 @t10))) % 78.31/78.50 (define @t164 () (or @t163 @t162 @t161 @t160 @t155 @t135)) % 78.31/78.50 (define @t165 () (=> @t13 @t164)) % 78.31/78.50 (define @t166 () (forall @t14 @t165)) % 78.31/78.50 (define @t167 () (=> @t15 @t166)) % 78.31/78.50 (define @t168 () (forall @t16 @t167)) % 78.31/78.50 (define @t169 () (=> @t27 @t168)) % 78.31/78.50 (define @t170 () (forall @t7 @t169)) % 78.31/78.50 (define @t171 () (=> @t17 @t170)) % 78.31/78.50 (define @t172 () (forall @t9 @t171)) % 78.31/78.50 (define @t173 () (not @t172)) % 78.31/78.50 (define @t174 () (@var "BOUND_VARIABLE_10975" $$unsorted)) % 78.31/78.50 (define @t175 () (not @t21)) % 78.31/78.50 (define @t176 () (and @t175 (tptp.neq @t174 tptp.nil))) % 78.31/78.50 (define @t177 () (not (tptp.segmentP @t174 @t2))) % 78.31/78.50 (define @t178 () (= @t2 tptp.nil)) % 78.31/78.50 (define @t179 () (and (= @t174 tptp.nil) @t178)) % 78.31/78.50 (define @t180 () (= @t2 @t157)) % 78.31/78.50 (define @t181 () (not @t180)) % 78.31/78.50 (define @t182 () (not @t158)) % 78.31/78.50 (define @t183 () (not (forall @t49 (or @t182 @t181 (not (tptp.memberP @t174 @t44)))))) % 78.31/78.50 (define @t184 () (not (tptp.ssList @t174))) % 78.31/78.50 (define @t185 () (not @t17)) % 78.31/78.50 (define @t186 () (or @t185 @t184 @t183 @t179 @t177 @t176)) % 78.31/78.50 (define @t187 () (or @t184 @t183 @t179 @t177 @t176)) % 78.31/78.50 (define @t188 () (or @t185 @t187)) % 78.31/78.50 (define @t189 () (@list @t2 @t174)) % 78.31/78.50 (define @t190 () (forall @t189 @t188)) % 78.31/78.50 (define @t191 () (@list @t174)) % 78.31/78.50 (define @t192 () (forall @t191 @t188)) % 78.31/78.50 (define @t193 () (forall @t191 @t187)) % 78.31/78.50 (define @t194 () (@list @t1)) % 78.31/78.50 (define @t195 () (or @t185 @t193)) % 78.31/78.50 (define @t196 () (tptp.neq @t1 tptp.nil)) % 78.31/78.50 (define @t197 () (and @t175 @t196)) % 78.31/78.50 (define @t198 () (not @t123)) % 78.31/78.50 (define @t199 () (and (= @t1 tptp.nil) @t178)) % 78.31/78.50 (define @t200 () (not @t156)) % 78.31/78.50 (define @t201 () (or @t182 @t181 @t200)) % 78.31/78.50 (define @t202 () (not (forall @t49 @t201))) % 78.31/78.50 (define @t203 () (not @t27)) % 78.31/78.50 (define @t204 () (or @t203 @t202 @t199 @t198 @t197)) % 78.31/78.50 (define @t205 () (or @t185 (forall @t7 @t204))) % 78.31/78.50 (define @t206 () (or @t185 @t204)) % 78.31/78.50 (define @t207 () (or @t203 @t202 @t199 @t185 @t198 @t197)) % 78.31/78.50 (define @t208 () (or @t202 @t199 @t203 @t185 @t198 @t197)) % 78.31/78.50 (define @t209 () (or @t185 @t198 @t197)) % 78.31/78.50 (define @t210 () (not (= @t2 @t2))) % 78.31/78.50 (define @t211 () (or @t185 @t210 @t198 @t197)) % 78.31/78.50 (define @t212 () (and @t154 @t196)) % 78.31/78.50 (define @t213 () (not @t122)) % 78.31/78.50 (define @t214 () (not @t15)) % 78.31/78.50 (define @t215 () (or @t162 @t214 @t162 @t213 @t212)) % 78.31/78.50 (define @t216 () (or @t214 @t162 @t213 @t212)) % 78.31/78.50 (define @t217 () (forall @t16 @t216)) % 78.31/78.50 (define @t218 () (or @t202 @t199 @t203 @t217)) % 78.31/78.50 (define @t219 () (or @t202 @t199 @t203 @t216)) % 78.31/78.50 (define @t220 () (or @t214 @t162 @t202 @t199 @t203 @t213 @t212)) % 78.31/78.50 (define @t221 () (or @t162 @t202 @t199 @t203 @t213 @t212)) % 78.31/78.50 (define @t222 () (or @t203 @t213 @t212)) % 78.31/78.50 (define @t223 () (not (= @t1 @t1))) % 78.31/78.50 (define @t224 () (or @t203 @t223 @t213 @t212)) % 78.31/78.50 (define @t225 () (not @t13)) % 78.31/78.50 (define @t226 () (or @t163 @t225 @t163 @t161 @t155)) % 78.31/78.50 (define @t227 () (or @t225 @t163 @t161 @t155)) % 78.31/78.50 (define @t228 () (forall @t14 @t227)) % 78.31/78.50 (define @t229 () (or @t162 @t202 @t199 @t228)) % 78.31/78.50 (define @t230 () (or @t162 @t202 @t199 @t227)) % 78.31/78.50 (define @t231 () (or @t225 @t163 @t162 @t161 @t202 @t155 @t199)) % 78.31/78.50 (define @t232 () (or @t163 @t162 @t161 @t202 @t155 @t199)) % 78.31/78.50 (define @t233 () (and @t158 @t180 @t156)) % 78.31/78.50 (define @t234 () (forall @t49 (not @t233))) % 78.31/78.50 (define @t235 () (not @t234)) % 78.31/78.50 (define @t236 () (forall @t189 (or @t185 @t184 @t183 (and (= tptp.nil @t174) @t178) @t177 @t176))) % 78.31/78.50 (define @t237 () (@quantifiers_skolemize @t236 1)) % 78.31/78.50 (define @t238 () (tptp.neq @t237 tptp.nil)) % 78.31/78.50 (define @t239 () (@quantifiers_skolemize @t236 0)) % 78.31/78.50 (define @t240 () (tptp.singletonP @t239)) % 78.31/78.50 (define @t241 () (not @t240)) % 78.31/78.50 (define @t242 () (and @t241 @t238)) % 78.31/78.50 (define @t243 () (tptp.segmentP @t237 @t239)) % 78.31/78.50 (define @t244 () (not @t243)) % 78.31/78.50 (define @t245 () (= tptp.nil @t239)) % 78.31/78.50 (define @t246 () (= tptp.nil @t237)) % 78.31/78.50 (define @t247 () (and @t246 @t245)) % 78.31/78.50 (define @t248 () (not (tptp.memberP @t237 @t44))) % 78.31/78.50 (define @t249 () (forall @t49 (or @t182 (not (= @t157 @t239)) @t248))) % 78.31/78.50 (define @t250 () (not @t249)) % 78.31/78.50 (define @t251 () (tptp.ssList @t237)) % 78.31/78.50 (define @t252 () (not @t251)) % 78.31/78.50 (define @t253 () (tptp.ssList @t239)) % 78.31/78.50 (define @t254 () (not @t253)) % 78.31/78.50 (define @t255 () (or @t254 @t252 @t250 @t247 @t244 @t242)) % 78.31/78.50 (define @t256 () (not @t255)) % 78.31/78.50 (define @t257 () (not @t236)) % 78.31/78.50 (define @t258 () (= @t239 tptp.nil)) % 78.31/78.50 (define @t259 () (and @t246 @t258)) % 78.31/78.50 (define @t260 () (not (= @t239 @t157))) % 78.31/78.50 (define @t261 () (or @t182 @t260 @t248)) % 78.31/78.50 (define @t262 () (forall @t49 @t261)) % 78.31/78.50 (define @t263 () (not @t262)) % 78.31/78.50 (define @t264 () (or @t254 @t252 @t263 @t259 @t244 @t242)) % 78.31/78.50 (define @t265 () (not @t264)) % 78.31/78.50 (define @t266 () (@list true)) % 78.31/78.50 (define @t267 () (@list @t255)) % 78.31/78.50 (define @t268 () (@var "BOUND_VARIABLE_9257" $$unsorted)) % 78.31/78.50 (define @t269 () (tptp.cons @t268 @t1)) % 78.31/78.50 (define @t270 () (not (= @t2 @t269))) % 78.31/78.50 (define @t271 () (not (tptp.ssItem @t268))) % 78.31/78.50 (define @t272 () (or @t203 @t271 @t270)) % 78.31/78.50 (define @t273 () (@list @t1 @t268)) % 78.31/78.50 (define @t274 () (not (forall @t273 @t272))) % 78.31/78.50 (define @t275 () (or @t185 @t178 @t274)) % 78.31/78.50 (define @t276 () (or @t178 @t274)) % 78.31/78.50 (define @t277 () (or @t271 @t270)) % 78.31/78.50 (define @t278 () (or @t203 @t277)) % 78.31/78.50 (define @t279 () (forall @t273 @t278)) % 78.31/78.50 (define @t280 () (@list @t268)) % 78.31/78.50 (define @t281 () (forall @t280 @t278)) % 78.31/78.50 (define @t282 () (forall @t280 @t277)) % 78.31/78.50 (define @t283 () (@list @t12)) % 78.31/78.50 (define @t284 () (or @t203 @t282)) % 78.31/78.50 (define @t285 () (= @t2 @t59)) % 78.31/78.50 (define @t286 () (forall @t16 (or (not @t50) (not @t285)))) % 78.31/78.50 (define @t287 () (not @t286)) % 78.31/78.50 (define @t288 () (and @t27 @t287)) % 78.31/78.50 (define @t289 () (forall @t7 (not @t288))) % 78.31/78.50 (define @t290 () (not @t289)) % 78.31/78.50 (define @t291 () (and @t50 @t285)) % 78.31/78.50 (define @t292 () (forall @t16 (not @t291))) % 78.31/78.50 (define @t293 () (not @t292)) % 78.31/78.50 (define @t294 () (not (= @t237 @t269))) % 78.31/78.50 (define @t295 () (or @t203 @t271 @t294)) % 78.31/78.50 (define @t296 () (forall @t273 @t295)) % 78.31/78.50 (define @t297 () (not @t296)) % 78.31/78.50 (define @t298 () (= @t237 tptp.nil)) % 78.31/78.50 (define @t299 () (or @t252 @t298 @t297)) % 78.31/78.50 (define @t300 () (forall @t9 @t275)) % 78.31/78.50 (define @t301 () (@list @t237)) % 78.31/78.50 (define @t302 () (forall @t273 (or @t203 @t271 (not (= @t269 @t237))))) % 78.31/78.50 (define @t303 () (not @t302)) % 78.31/78.50 (define @t304 () (or @t252 @t246 @t303)) % 78.31/78.50 (define @t305 () (@list false)) % 78.31/78.50 (define @t306 () (@list @t300)) % 78.31/78.50 (define @t307 () (or @t185 @t178 @t69)) % 78.31/78.50 (define @t308 () (not @t178)) % 78.31/78.50 (define @t309 () (not @t308)) % 78.31/78.50 (define @t310 () (=> @t308 @t69)) % 78.31/78.50 (define @t311 () (tptp.hd @t237)) % 78.31/78.50 (define @t312 () (tptp.ssItem @t311)) % 78.31/78.50 (define @t313 () (or @t252 @t298 @t312)) % 78.31/78.50 (define @t314 () (forall @t9 @t307)) % 78.31/78.50 (define @t315 () (or @t252 @t246 @t312)) % 78.31/78.50 (define @t316 () (@list @t314)) % 78.31/78.50 (define @t317 () (@var "BOUND_VARIABLE_9099" $$unsorted)) % 78.31/78.50 (define @t318 () (= (tptp.neq @t2 @t317) (not (= @t2 @t317)))) % 78.31/78.50 (define @t319 () (not (tptp.ssList @t317))) % 78.31/78.50 (define @t320 () (or @t185 @t319 @t318)) % 78.31/78.50 (define @t321 () (or @t319 @t318)) % 78.31/78.50 (define @t322 () (or @t185 @t321)) % 78.31/78.50 (define @t323 () (@list @t2 @t317)) % 78.31/78.50 (define @t324 () (forall @t323 @t322)) % 78.31/78.50 (define @t325 () (@list @t317)) % 78.31/78.50 (define @t326 () (forall @t325 @t322)) % 78.31/78.50 (define @t327 () (forall @t325 @t321)) % 78.31/78.50 (define @t328 () (or @t185 @t327)) % 78.31/78.50 (define @t329 () (forall @t7 (or @t203 @t5))) % 78.31/78.50 (define @t330 () (not @t298)) % 78.31/78.50 (define @t331 () (= @t238 @t330)) % 78.31/78.50 (define @t332 () (not @t57)) % 78.31/78.50 (define @t333 () (or @t252 @t332 @t331)) % 78.31/78.50 (define @t334 () (forall @t323 @t320)) % 78.31/78.50 (define @t335 () (not @t246)) % 78.31/78.50 (define @t336 () (= @t238 @t335)) % 78.31/78.50 (define @t337 () (or @t252 @t332 @t336)) % 78.31/78.50 (define @t338 () (@list false false false)) % 78.31/78.50 (define @t339 () (not @t336)) % 78.31/78.50 (define @t340 () (@quantifiers_skolemize @t302 0)) % 78.31/78.50 (define @t341 () (@quantifiers_skolemize @t302 1)) % 78.31/78.50 (define @t342 () (tptp.cons @t341 @t340)) % 78.31/78.50 (define @t343 () (= @t237 @t342)) % 78.31/78.50 (define @t344 () (not @t343)) % 78.31/78.50 (define @t345 () (tptp.ssItem @t341)) % 78.31/78.50 (define @t346 () (not @t345)) % 78.31/78.50 (define @t347 () (tptp.ssList @t340)) % 78.31/78.50 (define @t348 () (not @t347)) % 78.31/78.50 (define @t349 () (or @t348 @t346 @t344)) % 78.31/78.50 (define @t350 () (not @t349)) % 78.31/78.50 (define @t351 () (not (= @t342 @t237))) % 78.31/78.50 (define @t352 () (or @t348 @t346 @t351)) % 78.31/78.50 (define @t353 () (not @t352)) % 78.31/78.50 (define @t354 () (not @t238)) % 78.31/78.50 (define @t355 () (@var "BOUND_VARIABLE_9314" $$unsorted)) % 78.31/78.50 (define @t356 () (= @t355 (tptp.hd (tptp.cons @t355 @t2)))) % 78.31/78.50 (define @t357 () (not (tptp.ssItem @t355))) % 78.31/78.50 (define @t358 () (or @t357 @t356)) % 78.31/78.50 (define @t359 () (or @t185 @t358)) % 78.31/78.50 (define @t360 () (forall (@list @t2 @t355) @t359)) % 78.31/78.50 (define @t361 () (@list @t355)) % 78.31/78.50 (define @t362 () (forall @t361 @t359)) % 78.31/78.50 (define @t363 () (forall @t361 @t358)) % 78.31/78.50 (define @t364 () (or @t185 @t363)) % 78.31/78.50 (define @t365 () (= @t1 @t74)) % 78.31/78.50 (define @t366 () (not @t6)) % 78.31/78.50 (define @t367 () (forall @t7 (or @t366 @t365))) % 78.31/78.50 (define @t368 () (@list @t340 @t341)) % 78.31/78.50 (define @t369 () (= @t341 (tptp.hd @t342))) % 78.31/78.50 (define @t370 () (or @t348 @t346 @t369)) % 78.31/78.50 (define @t371 () (@var "BOUND_VARIABLE_9344" $$unsorted)) % 78.31/78.50 (define @t372 () (= @t2 (tptp.tl (tptp.cons @t371 @t2)))) % 78.31/78.50 (define @t373 () (not (tptp.ssItem @t371))) % 78.31/78.50 (define @t374 () (or @t373 @t372)) % 78.31/78.50 (define @t375 () (or @t185 @t374)) % 78.31/78.50 (define @t376 () (forall (@list @t2 @t371) @t375)) % 78.31/78.50 (define @t377 () (@list @t371)) % 78.31/78.50 (define @t378 () (forall @t377 @t375)) % 78.31/78.50 (define @t379 () (forall @t377 @t374)) % 78.31/78.50 (define @t380 () (or @t185 @t379)) % 78.31/78.50 (define @t381 () (= @t2 @t84)) % 78.31/78.50 (define @t382 () (forall @t7 (or @t366 @t381))) % 78.31/78.50 (define @t383 () (= @t340 (tptp.tl @t342))) % 78.31/78.50 (define @t384 () (or @t348 @t346 @t383)) % 78.31/78.50 (define @t385 () (= @t2 @t18)) % 78.31/78.50 (define @t386 () (= @t21 (not (forall @t7 (or @t366 (not @t385)))))) % 78.31/78.50 (define @t387 () (and @t6 @t385)) % 78.31/78.50 (define @t388 () (forall @t7 (not @t387))) % 78.31/78.50 (define @t389 () (not @t388)) % 78.31/78.50 (define @t390 () (not (= @t239 @t18))) % 78.31/78.50 (define @t391 () (or @t366 @t390)) % 78.31/78.50 (define @t392 () (forall @t7 @t391)) % 78.31/78.50 (define @t393 () (not @t392)) % 78.31/78.50 (define @t394 () (= @t240 @t393)) % 78.31/78.50 (define @t395 () (or @t254 @t394)) % 78.31/78.50 (define @t396 () (forall @t9 (or @t185 @t386))) % 78.31/78.50 (define @t397 () (@list @t239)) % 78.31/78.50 (define @t398 () (forall @t7 (or @t366 (not (= @t18 @t239))))) % 78.31/78.50 (define @t399 () (not @t398)) % 78.31/78.50 (define @t400 () (= @t240 @t399)) % 78.31/78.50 (define @t401 () (or @t254 @t400)) % 78.31/78.50 (define @t402 () (@list false false)) % 78.31/78.50 (define @t403 () (not @t245)) % 78.31/78.50 (define @t404 () (and @t240 @t245 @t120)) % 78.31/78.50 (define @t405 () (@quantifiers_skolemize @t398 0)) % 78.31/78.50 (define @t406 () (tptp.cons @t405 tptp.nil)) % 78.31/78.50 (define @t407 () (= @t239 @t406)) % 78.31/78.50 (define @t408 () (not @t407)) % 78.31/78.50 (define @t409 () (tptp.ssItem @t405)) % 78.31/78.50 (define @t410 () (not @t409)) % 78.31/78.50 (define @t411 () (or @t410 @t408)) % 78.31/78.50 (define @t412 () (not @t411)) % 78.31/78.50 (define @t413 () (not (= @t406 @t239))) % 78.31/78.50 (define @t414 () (or @t410 @t413)) % 78.31/78.50 (define @t415 () (not @t414)) % 78.31/78.50 (define @t416 () (tptp.hd @t239)) % 78.31/78.50 (define @t417 () (tptp.ssItem @t416)) % 78.31/78.50 (define @t418 () (or @t254 @t258 @t417)) % 78.31/78.50 (define @t419 () (or @t254 @t245 @t417)) % 78.31/78.50 (define @t420 () (@var "BOUND_VARIABLE_8381" $$unsorted)) % 78.31/78.50 (define @t421 () (tptp.app (tptp.app @t12 @t239) @t420)) % 78.31/78.50 (define @t422 () (not (tptp.ssList @t420))) % 78.31/78.50 (define @t423 () (@list @t12 @t420)) % 78.31/78.50 (define @t424 () (forall @t423 (or @t214 @t422 (not (= @t237 @t421))))) % 78.31/78.50 (define @t425 () (@quantifiers_skolemize @t424 0)) % 78.31/78.50 (define @t426 () (= tptp.nil @t425)) % 78.31/78.50 (define @t427 () (and @t245 @t426)) % 78.31/78.50 (define @t428 () (@var "BOUND_VARIABLE_9698" $$unsorted)) % 78.31/78.50 (define @t429 () (@var "BOUND_VARIABLE_9696" $$unsorted)) % 78.31/78.50 (define @t430 () (= (tptp.memberP (tptp.cons @t429 @t428) @t2) (or (= @t2 @t429) (tptp.memberP @t428 @t2)))) % 78.31/78.50 (define @t431 () (not (tptp.ssList @t428))) % 78.31/78.50 (define @t432 () (not (tptp.ssItem @t429))) % 78.31/78.50 (define @t433 () (not @t8)) % 78.31/78.50 (define @t434 () (or @t433 @t432 @t431 @t430)) % 78.31/78.50 (define @t435 () (or @t432 @t431 @t430)) % 78.31/78.50 (define @t436 () (or @t433 @t435)) % 78.31/78.50 (define @t437 () (@list @t2 @t429 @t428)) % 78.31/78.50 (define @t438 () (forall @t437 @t436)) % 78.31/78.50 (define @t439 () (@list @t429 @t428)) % 78.31/78.50 (define @t440 () (forall @t439 @t436)) % 78.31/78.50 (define @t441 () (forall @t439 @t435)) % 78.31/78.50 (define @t442 () (@var "BOUND_VARIABLE_9677" $$unsorted)) % 78.31/78.50 (define @t443 () (or @t433 @t441)) % 78.31/78.50 (define @t444 () (= (tptp.memberP (tptp.cons @t1 @t442) @t2) (or @t3 (tptp.memberP @t442 @t2)))) % 78.31/78.50 (define @t445 () (not (tptp.ssList @t442))) % 78.31/78.50 (define @t446 () (or @t366 @t445 @t444)) % 78.31/78.50 (define @t447 () (@list @t1 @t442)) % 78.31/78.50 (define @t448 () (forall @t447 @t446)) % 78.31/78.50 (define @t449 () (or @t445 @t444)) % 78.31/78.50 (define @t450 () (or @t366 @t449)) % 78.31/78.50 (define @t451 () (forall @t447 @t450)) % 78.31/78.50 (define @t452 () (@list @t442)) % 78.31/78.50 (define @t453 () (forall @t452 @t450)) % 78.31/78.50 (define @t454 () (forall @t452 @t449)) % 78.31/78.50 (define @t455 () (or @t366 @t454)) % 78.31/78.50 (define @t456 () (forall @t16 (or @t214 @t113))) % 78.31/78.50 (define @t457 () (tptp.memberP @t340 @t416)) % 78.31/78.50 (define @t458 () (= @t416 @t311)) % 78.31/78.50 (define @t459 () (or @t458 @t457)) % 78.31/78.50 (define @t460 () (tptp.cons @t311 @t340)) % 78.31/78.50 (define @t461 () (tptp.memberP @t460 @t416)) % 78.31/78.50 (define @t462 () (= @t461 @t459)) % 78.31/78.50 (define @t463 () (not @t312)) % 78.31/78.50 (define @t464 () (not @t417)) % 78.31/78.50 (define @t465 () (or @t464 @t463 @t348 @t462)) % 78.31/78.50 (define @t466 () (tptp.cons @t416 tptp.nil)) % 78.31/78.50 (define @t467 () (tptp.memberP @t466 @t416)) % 78.31/78.50 (define @t468 () (tptp.memberP tptp.nil @t416)) % 78.31/78.50 (define @t469 () (or (= @t416 @t416) @t468)) % 78.31/78.50 (define @t470 () (= @t467 @t469)) % 78.31/78.50 (define @t471 () (or @t464 @t464 @t332 @t470)) % 78.31/78.50 (define @t472 () (forall @t437 @t434)) % 78.31/78.50 (define @t473 () (or @t464 @t464 @t332 @t467)) % 78.31/78.50 (define @t474 () (@var "BOUND_VARIABLE_10592" $$unsorted)) % 78.31/78.50 (define @t475 () (and (= @t474 tptp.nil) @t178)) % 78.31/78.50 (define @t476 () (= tptp.nil (tptp.app @t2 @t474))) % 78.31/78.50 (define @t477 () (= @t476 @t475)) % 78.31/78.50 (define @t478 () (not (tptp.ssList @t474))) % 78.31/78.50 (define @t479 () (or @t185 @t478 @t477)) % 78.31/78.50 (define @t480 () (or @t478 @t477)) % 78.31/78.50 (define @t481 () (or @t185 @t480)) % 78.31/78.50 (define @t482 () (@list @t2 @t474)) % 78.31/78.50 (define @t483 () (forall @t482 @t481)) % 78.31/78.50 (define @t484 () (@list @t474)) % 78.31/78.50 (define @t485 () (forall @t484 @t481)) % 78.31/78.50 (define @t486 () (forall @t484 @t480)) % 78.31/78.50 (define @t487 () (or @t185 @t486)) % 78.31/78.50 (define @t488 () (= @t136 @t199)) % 78.31/78.50 (define @t489 () (forall @t7 (or @t203 @t488))) % 78.31/78.50 (define @t490 () (= @t425 tptp.nil)) % 78.31/78.50 (define @t491 () (and @t245 @t490)) % 78.31/78.50 (define @t492 () (tptp.app @t425 @t239)) % 78.31/78.50 (define @t493 () (= tptp.nil @t492)) % 78.31/78.50 (define @t494 () (= @t493 @t491)) % 78.31/78.50 (define @t495 () (tptp.ssList @t425)) % 78.31/78.50 (define @t496 () (not @t495)) % 78.31/78.50 (define @t497 () (or @t496 @t254 @t494)) % 78.31/78.50 (define @t498 () (forall @t482 (or @t185 @t478 (= @t476 (and (= tptp.nil @t474) @t178))))) % 78.31/78.50 (define @t499 () (@list @t425 @t239)) % 78.31/78.50 (define @t500 () (= @t493 @t427)) % 78.31/78.50 (define @t501 () (or @t496 @t254 @t500)) % 78.31/78.50 (define @t502 () (@var "BOUND_VARIABLE_8404" $$unsorted)) % 78.31/78.50 (define @t503 () (= (tptp.segmentP @t2 @t502) (not (forall @t423 (or @t214 @t422 (not (= @t2 (tptp.app (tptp.app @t12 @t502) @t420)))))))) % 78.31/78.50 (define @t504 () (not (tptp.ssList @t502))) % 78.31/78.50 (define @t505 () (or @t504 @t503)) % 78.31/78.50 (define @t506 () (or @t185 @t505)) % 78.31/78.50 (define @t507 () (forall (@list @t2 @t502) @t506)) % 78.31/78.50 (define @t508 () (@list @t502)) % 78.31/78.50 (define @t509 () (forall @t508 @t506)) % 78.31/78.50 (define @t510 () (forall @t508 @t505)) % 78.31/78.50 (define @t511 () (or @t185 @t510)) % 78.31/78.50 (define @t512 () (not (= @t2 (tptp.app @t28 @t420)))) % 78.31/78.50 (define @t513 () (or @t214 @t422 @t512)) % 78.31/78.50 (define @t514 () (= @t35 (not (forall @t423 @t513)))) % 78.31/78.50 (define @t515 () (forall @t7 (or @t203 @t514))) % 78.31/78.50 (define @t516 () (or @t422 @t512)) % 78.31/78.50 (define @t517 () (or @t214 @t516)) % 78.31/78.50 (define @t518 () (forall @t423 @t517)) % 78.31/78.50 (define @t519 () (@list @t420)) % 78.31/78.50 (define @t520 () (forall @t519 @t517)) % 78.31/78.50 (define @t521 () (forall @t519 @t516)) % 78.31/78.50 (define @t522 () (or @t214 @t521)) % 78.31/78.50 (define @t523 () (= @t2 @t30)) % 78.31/78.50 (define @t524 () (forall @t14 (or @t225 (not @t523)))) % 78.31/78.50 (define @t525 () (not @t524)) % 78.31/78.50 (define @t526 () (and @t15 @t525)) % 78.31/78.50 (define @t527 () (forall @t16 (not @t526))) % 78.31/78.50 (define @t528 () (not @t527)) % 78.31/78.50 (define @t529 () (and @t13 @t523)) % 78.31/78.50 (define @t530 () (forall @t14 (not @t529))) % 78.31/78.50 (define @t531 () (not @t530)) % 78.31/78.50 (define @t532 () (not @t424)) % 78.31/78.50 (define @t533 () (= @t243 @t532)) % 78.31/78.50 (define @t534 () (or @t252 @t254 @t533)) % 78.31/78.50 (define @t535 () (@quantifiers_skolemize @t424 1)) % 78.31/78.50 (define @t536 () (tptp.app @t492 @t535)) % 78.31/78.50 (define @t537 () (= @t237 @t536)) % 78.31/78.50 (define @t538 () (not @t537)) % 78.31/78.50 (define @t539 () (tptp.ssList @t535)) % 78.31/78.50 (define @t540 () (not @t539)) % 78.31/78.50 (define @t541 () (or @t496 @t540 @t538)) % 78.31/78.50 (define @t542 () (@list @t541)) % 78.31/78.50 (define @t543 () (tptp.hd @t406)) % 78.31/78.50 (define @t544 () (= @t405 @t543)) % 78.31/78.50 (define @t545 () (or @t332 @t410 @t544)) % 78.31/78.50 (define @t546 () (@var "BOUND_VARIABLE_9364" $$unsorted)) % 78.31/78.50 (define @t547 () (tptp.ssList (tptp.app @t2 @t546))) % 78.31/78.50 (define @t548 () (not (tptp.ssList @t546))) % 78.31/78.50 (define @t549 () (or @t548 @t547)) % 78.31/78.50 (define @t550 () (or @t185 @t549)) % 78.31/78.50 (define @t551 () (forall (@list @t2 @t546) @t550)) % 78.31/78.50 (define @t552 () (@list @t546)) % 78.31/78.50 (define @t553 () (forall @t552 @t550)) % 78.31/78.50 (define @t554 () (forall @t552 @t549)) % 78.31/78.50 (define @t555 () (or @t185 @t554)) % 78.31/78.50 (define @t556 () (forall @t7 (or @t203 @t90))) % 78.31/78.50 (define @t557 () (tptp.ssList @t492)) % 78.31/78.50 (define @t558 () (or @t496 @t254 @t557)) % 78.31/78.50 (define @t559 () (@var "BOUND_VARIABLE_10632" $$unsorted)) % 78.31/78.50 (define @t560 () (= @t68 (tptp.hd (tptp.app @t2 @t559)))) % 78.31/78.50 (define @t561 () (not (tptp.ssList @t559))) % 78.31/78.50 (define @t562 () (or @t185 @t178 @t561 @t560)) % 78.31/78.50 (define @t563 () (or @t561 @t560)) % 78.31/78.50 (define @t564 () (or @t185 @t178 @t563)) % 78.31/78.50 (define @t565 () (@list @t2 @t559)) % 78.31/78.50 (define @t566 () (forall @t565 @t564)) % 78.31/78.50 (define @t567 () (@list @t559)) % 78.31/78.50 (define @t568 () (forall @t567 @t564)) % 78.31/78.50 (define @t569 () (forall @t567 @t563)) % 78.31/78.50 (define @t570 () (or @t185 @t178 @t569)) % 78.31/78.50 (define @t571 () (= @t68 @t142)) % 78.31/78.50 (define @t572 () (or @t203 @t571)) % 78.31/78.50 (define @t573 () (forall @t7 @t572)) % 78.31/78.50 (define @t574 () (or @t185 @t178 @t573)) % 78.31/78.50 (define @t575 () (or @t178 @t573)) % 78.31/78.50 (define @t576 () (or @t178 @t572)) % 78.31/78.50 (define @t577 () (or @t203 @t178 @t571)) % 78.31/78.50 (define @t578 () (=> @t308 @t571)) % 78.31/78.50 (define @t579 () (tptp.hd @t536)) % 78.31/78.50 (define @t580 () (= (tptp.hd @t492) @t579)) % 78.31/78.50 (define @t581 () (not @t557)) % 78.31/78.50 (define @t582 () (= @t492 tptp.nil)) % 78.31/78.50 (define @t583 () (or @t581 @t582 @t540 @t580)) % 78.31/78.50 (define @t584 () (forall @t565 @t562)) % 78.31/78.50 (define @t585 () (@list @t492 @t535)) % 78.31/78.50 (define @t586 () (or @t581 @t493 @t540 @t580)) % 78.31/78.50 (define @t587 () (@var "BOUND_VARIABLE_10659" $$unsorted)) % 78.31/78.50 (define @t588 () (= (tptp.tl (tptp.app @t2 @t587)) (tptp.app @t79 @t587))) % 78.31/78.50 (define @t589 () (not (tptp.ssList @t587))) % 78.31/78.50 (define @t590 () (or @t185 @t178 @t589 @t588)) % 78.31/78.50 (define @t591 () (or @t589 @t588)) % 78.31/78.50 (define @t592 () (or @t185 @t178 @t591)) % 78.31/78.50 (define @t593 () (@list @t2 @t587)) % 78.31/78.50 (define @t594 () (forall @t593 @t592)) % 78.31/78.50 (define @t595 () (@list @t587)) % 78.31/78.50 (define @t596 () (forall @t595 @t592)) % 78.31/78.50 (define @t597 () (forall @t595 @t591)) % 78.31/78.50 (define @t598 () (or @t185 @t178 @t597)) % 78.31/78.50 (define @t599 () (or @t203 @t148)) % 78.31/78.50 (define @t600 () (forall @t7 @t599)) % 78.31/78.50 (define @t601 () (or @t185 @t178 @t600)) % 78.31/78.50 (define @t602 () (or @t178 @t600)) % 78.31/78.50 (define @t603 () (or @t178 @t599)) % 78.31/78.50 (define @t604 () (or @t203 @t178 @t148)) % 78.31/78.50 (define @t605 () (=> @t308 @t148)) % 78.31/78.50 (define @t606 () (tptp.tl @t492)) % 78.31/78.50 (define @t607 () (tptp.app @t606 @t535)) % 78.31/78.50 (define @t608 () (tptp.tl @t536)) % 78.31/78.50 (define @t609 () (= @t608 @t607)) % 78.31/78.50 (define @t610 () (or @t581 @t582 @t540 @t609)) % 78.31/78.50 (define @t611 () (forall @t593 @t590)) % 78.31/78.50 (define @t612 () (or @t581 @t493 @t540 @t609)) % 78.31/78.50 (define @t613 () (@list @t611)) % 78.31/78.50 (define @t614 () (or @t185 @t178 @t80)) % 78.31/78.50 (define @t615 () (=> @t308 @t80)) % 78.31/78.50 (define @t616 () (tptp.ssList @t606)) % 78.31/78.50 (define @t617 () (or @t581 @t582 @t616)) % 78.31/78.50 (define @t618 () (forall @t9 @t614)) % 78.31/78.50 (define @t619 () (or @t581 @t493 @t616)) % 78.31/78.50 (define @t620 () (= @t239 @t466)) % 78.31/78.50 (define @t621 () (and @t407 @t544)) % 78.31/78.50 (define @t622 () (@var "BOUND_VARIABLE_9652" $$unsorted)) % 78.31/78.50 (define @t623 () (@var "BOUND_VARIABLE_9650" $$unsorted)) % 78.31/78.50 (define @t624 () (= (tptp.memberP (tptp.app @t623 @t622) @t2) (or (tptp.memberP @t623 @t2) (tptp.memberP @t622 @t2)))) % 78.31/78.50 (define @t625 () (not (tptp.ssList @t622))) % 78.31/78.50 (define @t626 () (not (tptp.ssList @t623))) % 78.31/78.50 (define @t627 () (or @t626 @t625 @t624)) % 78.31/78.50 (define @t628 () (or @t433 @t627)) % 78.31/78.50 (define @t629 () (forall (@list @t2 @t623 @t622) @t628)) % 78.31/78.50 (define @t630 () (@list @t623 @t622)) % 78.31/78.50 (define @t631 () (forall @t630 @t628)) % 78.31/78.50 (define @t632 () (forall @t630 @t627)) % 78.31/78.50 (define @t633 () (@var "BOUND_VARIABLE_9631" $$unsorted)) % 78.31/78.50 (define @t634 () (or @t433 @t632)) % 78.31/78.50 (define @t635 () (= (tptp.memberP (tptp.app @t1 @t633) @t2) (or @t106 (tptp.memberP @t633 @t2)))) % 78.31/78.50 (define @t636 () (not (tptp.ssList @t633))) % 78.31/78.50 (define @t637 () (or @t203 @t636 @t635)) % 78.31/78.50 (define @t638 () (@list @t1 @t633)) % 78.31/78.50 (define @t639 () (forall @t638 @t637)) % 78.31/78.50 (define @t640 () (or @t636 @t635)) % 78.31/78.50 (define @t641 () (or @t203 @t640)) % 78.31/78.50 (define @t642 () (forall @t638 @t641)) % 78.31/78.50 (define @t643 () (@list @t633)) % 78.31/78.50 (define @t644 () (forall @t643 @t641)) % 78.31/78.50 (define @t645 () (forall @t643 @t640)) % 78.31/78.50 (define @t646 () (or @t203 @t645)) % 78.31/78.50 (define @t647 () (forall @t16 (or @t214 @t107))) % 78.31/78.50 (define @t648 () (tptp.memberP @t606 @t416)) % 78.31/78.50 (define @t649 () (or @t648 (tptp.memberP @t535 @t416))) % 78.31/78.50 (define @t650 () (tptp.memberP @t607 @t416)) % 78.31/78.50 (define @t651 () (= @t650 @t649)) % 78.31/78.50 (define @t652 () (not @t616)) % 78.31/78.50 (define @t653 () (or @t464 @t652 @t540 @t651)) % 78.31/78.50 (define @t654 () (tptp.memberP @t237 @t416)) % 78.31/78.50 (define @t655 () (not @t654)) % 78.31/78.50 (define @t656 () (not (= @t466 @t239))) % 78.31/78.50 (define @t657 () (or @t464 @t656 @t655)) % 78.31/78.50 (define @t658 () (not @t620)) % 78.31/78.50 (define @t659 () (or @t464 @t658 @t655)) % 78.31/78.50 (define @t660 () (tptp.memberP @t239 @t416)) % 78.31/78.50 (define @t661 () (and @t407 @t544 @t467)) % 78.31/78.50 (define @t662 () (forall @t423 (or @t214 @t422 (not (= @t237 (tptp.app (tptp.app @t12 @t237) @t420)))))) % 78.31/78.50 (define @t663 () (not @t662)) % 78.31/78.50 (define @t664 () (tptp.segmentP @t237 @t237)) % 78.31/78.50 (define @t665 () (= @t664 @t663)) % 78.31/78.50 (define @t666 () (or @t252 @t252 @t665)) % 78.31/78.50 (define @t667 () (or @t252 @t664)) % 78.31/78.50 (define @t668 () (@quantifiers_skolemize @t662 1)) % 78.31/78.50 (define @t669 () (@quantifiers_skolemize @t662 0)) % 78.31/78.50 (define @t670 () (tptp.app (tptp.app @t669 @t237) @t668)) % 78.31/78.50 (define @t671 () (= @t237 @t670)) % 78.31/78.50 (define @t672 () (not @t671)) % 78.31/78.50 (define @t673 () (or (not (tptp.ssList @t669)) (not (tptp.ssList @t668)) @t672)) % 78.31/78.50 (define @t674 () (not @t461)) % 78.31/78.50 (define @t675 () (not @t369)) % 78.31/78.50 (define @t676 () (and @t343 @t369 @t655 @t671)) % 78.31/78.50 (define @t677 () (forall @t273 (or @t203 @t271 (not (= @t269 @t425))))) % 78.31/78.50 (define @t678 () (@quantifiers_skolemize @t677 0)) % 78.31/78.50 (define @t679 () (or (tptp.memberP @t678 @t416) @t660)) % 78.31/78.50 (define @t680 () (not @t650)) % 78.31/78.50 (define @t681 () (not @t609)) % 78.31/78.50 (define @t682 () (not @t383)) % 78.31/78.50 (define @t683 () (not @t457)) % 78.31/78.50 (define @t684 () (and @t537 @t343 @t383 @t609 @t683)) % 78.31/78.50 (define @t685 () (not (= @t425 @t269))) % 78.31/78.50 (define @t686 () (or @t203 @t271 @t685)) % 78.31/78.50 (define @t687 () (forall @t273 @t686)) % 78.31/78.50 (define @t688 () (not @t687)) % 78.31/78.50 (define @t689 () (or @t496 @t490 @t688)) % 78.31/78.50 (define @t690 () (not @t677)) % 78.31/78.50 (define @t691 () (or @t496 @t426 @t690)) % 78.31/78.50 (define @t692 () (= @t606 (tptp.app (tptp.tl @t425) @t239))) % 78.31/78.50 (define @t693 () (or @t496 @t490 @t254 @t692)) % 78.31/78.50 (define @t694 () (or @t496 @t426 @t254 @t692)) % 78.31/78.50 (define @t695 () (@quantifiers_skolemize @t677 1)) % 78.31/78.50 (define @t696 () (tptp.cons @t695 @t678)) % 78.31/78.50 (define @t697 () (= @t425 @t696)) % 78.31/78.50 (define @t698 () (not @t697)) % 78.31/78.50 (define @t699 () (tptp.ssItem @t695)) % 78.31/78.50 (define @t700 () (not @t699)) % 78.31/78.50 (define @t701 () (tptp.ssList @t678)) % 78.31/78.50 (define @t702 () (not @t701)) % 78.31/78.50 (define @t703 () (or @t702 @t700 @t698)) % 78.31/78.50 (define @t704 () (not @t703)) % 78.31/78.50 (define @t705 () (not (= @t696 @t425))) % 78.31/78.50 (define @t706 () (or @t702 @t700 @t705)) % 78.31/78.50 (define @t707 () (not @t706)) % 78.31/78.50 (define @t708 () (tptp.app @t678 @t239)) % 78.31/78.50 (define @t709 () (tptp.memberP @t708 @t416)) % 78.31/78.50 (define @t710 () (= @t709 @t679)) % 78.31/78.50 (define @t711 () (or @t464 @t702 @t254 @t710)) % 78.31/78.50 (define @t712 () (tptp.tl @t696)) % 78.31/78.50 (define @t713 () (= @t678 @t712)) % 78.31/78.50 (define @t714 () (or @t702 @t700 @t713)) % 78.31/78.50 (define @t715 () (not @t679)) % 78.31/78.50 (define @t716 () (not @t709)) % 78.31/78.50 (define @t717 () (not @t692)) % 78.31/78.50 (define @t718 () (not @t713)) % 78.31/78.50 (define @t719 () (not @t648)) % 78.31/78.50 (define @t720 () (and @t697 @t713 @t719 @t692)) % 78.31/78.50 (define @t721 () (= @t2 @t95)) % 78.31/78.50 (define @t722 () (tptp.app tptp.nil @t239)) % 78.31/78.50 (define @t723 () (= @t239 @t722)) % 78.31/78.50 (define @t724 () (or @t254 @t723)) % 78.31/78.50 (define @t725 () (forall @t423 (or @t214 @t422 (not (= @t239 @t421))))) % 78.31/78.50 (define @t726 () (not @t725)) % 78.31/78.50 (define @t727 () (tptp.segmentP @t239 @t239)) % 78.31/78.50 (define @t728 () (= @t727 @t726)) % 78.31/78.50 (define @t729 () (or @t254 @t254 @t728)) % 78.31/78.50 (define @t730 () (or @t254 @t727)) % 78.31/78.50 (define @t731 () (@quantifiers_skolemize @t725 1)) % 78.31/78.50 (define @t732 () (@quantifiers_skolemize @t725 0)) % 78.31/78.50 (define @t733 () (tptp.app (tptp.app @t732 @t239) @t731)) % 78.31/78.50 (define @t734 () (= @t239 @t733)) % 78.31/78.50 (define @t735 () (not @t734)) % 78.31/78.50 (define @t736 () (or (not (tptp.ssList @t732)) (not (tptp.ssList @t731)) @t735)) % 78.31/78.50 (define @t737 () (and @t723 @t537 @t426 @t580 @t734)) % 78.31/78.50 (define @t738 () (= @t126 @t178)) % 78.31/78.50 (define @t739 () (tptp.segmentP tptp.nil @t239)) % 78.31/78.50 (define @t740 () (or @t254 (= @t739 @t258))) % 78.31/78.50 (define @t741 () (forall @t9 (or @t185 @t738))) % 78.31/78.50 (define @t742 () (= @t245 @t739)) % 78.31/78.50 (define @t743 () (or @t254 @t742)) % 78.31/78.50 (define @t744 () (@list true false)) % 78.31/78.50 (define @t745 () (not @t739)) % 78.31/78.50 (define @t746 () (and @t246 @t243)) % 78.31/78.50 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 78.31/78.50 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 78.31/78.50 (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))))))))))) % 78.31/78.50 (assume @p4 @t24) % 78.31/78.50 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 78.31/78.50 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 78.31/78.50 (assume @p7 @t40) % 78.31/78.50 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (not (and @t42 @t41))))))))))))))))) % 78.31/78.50 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (or @t42 @t41)))))))))))))))) % 78.31/78.50 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (or @t51 (tptp.lt @t12 @t1))))))))))))))))) % 78.31/78.50 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 @t42))))))))))))))) % 78.31/78.50 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 @t51))))))))))))))) % 78.31/78.50 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (not @t52)))))))))))))))) % 78.31/78.50 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t44))) @t2) @t52))))))))))))) % 78.31/78.50 (assume @p15 @t55) % 78.31/78.50 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t56)))))) % 78.31/78.50 (assume @p17 @t57) % 78.31/78.50 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t56 @t2))))))) % 78.31/78.50 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t50 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t58))))))))))) % 78.31/78.50 (assume @p20 @t67) % 78.31/78.50 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t56))))))) % 78.31/78.50 (assume @p22 @t73) % 78.31/78.50 (assume @p23 @t78) % 78.31/78.50 (assume @p24 @t83) % 78.31/78.50 (assume @p25 @t88) % 78.31/78.50 (assume @p26 @t93) % 78.31/78.50 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t50 (= (tptp.cons @t12 @t94) (tptp.app @t59 @t2))))))))) % 78.31/78.50 (assume @p28 @t97) % 78.31/78.50 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t99 @t98) @t3)))))) % 78.31/78.50 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t99 @t42) (tptp.leq @t2 @t12))))))))) % 78.31/78.50 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 78.31/78.50 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t100 @t98)))))) % 78.31/78.50 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t102 (not @t101))))))) % 78.31/78.50 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t102 @t51) @t103)))))))) % 78.31/78.50 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t104 @t101)))))) % 78.31/78.50 (assume @p36 @t112) % 78.31/78.50 (assume @p37 @t118) % 78.31/78.50 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 78.31/78.50 (assume @p39 @t120) % 78.31/78.50 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 78.31/78.50 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 78.31/78.50 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 78.31/78.50 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 78.31/78.50 (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)))))))))))) % 78.31/78.50 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 78.31/78.50 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 78.31/78.50 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 78.31/78.50 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 78.31/78.50 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 78.31/78.50 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t121 @t1))))))))) % 78.31/78.50 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 78.31/78.50 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 78.31/78.50 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t35 @t122) (tptp.segmentP @t2 @t12))))))))) % 78.31/78.50 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t35 @t123) @t3)))))) % 78.31/78.50 (assume @p55 @t125) % 78.31/78.50 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t35 (tptp.segmentP (tptp.app @t121 @t10) @t1))))))))))) % 78.31/78.50 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 78.31/78.50 (assume @p58 @t128) % 78.31/78.50 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t129)))) % 78.31/78.50 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 78.31/78.50 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t129)))) % 78.31/78.50 (assume @p62 (tptp.totalorderP tptp.nil)) % 78.31/78.50 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t129)))) % 78.31/78.50 (assume @p64 (tptp.strictorderP tptp.nil)) % 78.31/78.50 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t129)))) % 78.31/78.50 (assume @p66 (tptp.totalorderedP tptp.nil)) % 78.31/78.50 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t133) (or @t131 (and @t132 (tptp.totalorderedP @t1) (tptp.leq @t2 @t130))))))))) % 78.31/78.50 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t129)))) % 78.31/78.50 (assume @p69 (tptp.strictorderedP tptp.nil)) % 78.31/78.50 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t133) (or @t131 (and @t132 (tptp.strictorderedP @t1) (tptp.lt @t2 @t130))))))))) % 78.31/78.50 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t129)))) % 78.31/78.50 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 78.31/78.50 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t129)))) % 78.31/78.50 (assume @p74 (tptp.equalelemsP tptp.nil)) % 78.31/78.50 (assume @p75 (forall @t9 (=> @t17 (=> @t70 (exists @t7 (and @t6 (= @t68 @t1))))))) % 78.31/78.50 (assume @p76 (forall @t9 (=> @t17 (=> @t70 (exists @t7 (and @t27 (= @t79 @t1))))))) % 78.31/78.50 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t132 @t70 (= @t130 @t68) (= (tptp.tl @t1) @t79)) @t58)))))) % 78.31/78.50 (assume @p78 (forall @t9 (=> @t17 (=> @t70 (= (tptp.cons @t68 @t79) @t2))))) % 78.31/78.50 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t89) @t134)))))))) % 78.31/78.50 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t94) @t134)))))))) % 78.31/78.50 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t56 (tptp.app @t18 @t2))))))) % 78.31/78.50 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t89 @t12) (tptp.app @t2 @t25))))))))) % 78.31/78.50 (assume @p83 @t141) % 78.31/78.50 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 78.31/78.50 (assume @p85 @t147) % 78.31/78.50 (assume @p86 @t153) % 78.31/78.50 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t100 (tptp.geq @t1 @t2)) @t3)))))) % 78.31/78.50 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t100 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 78.31/78.50 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 78.31/78.50 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 78.31/78.50 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t99 @t51) @t103)))))))) % 78.31/78.50 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t99 (or @t3 @t102))))))) % 78.31/78.50 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t102 (and @t4 @t99))))))) % 78.31/78.50 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t104 (not (tptp.gt @t1 @t2)))))))) % 78.31/78.50 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t104 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 78.31/78.50 (assume @p96 @t173) % 78.31/78.50 (assume @p97 true) % 78.31/78.50 (step @p98 :rule refl :args (@t176)) % 78.31/78.50 (step @p99 :rule refl :args (@t177)) % 78.31/78.50 (step @p100 :rule refl :args (@t178)) % 78.31/78.50 (step @p101 :rule eq-symm :args (@t174 tptp.nil)) % 78.31/78.50 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t179)) % 78.31/78.50 (step @p103 :rule refl :args (@t183)) % 78.31/78.50 (step @p104 :rule refl :args (@t184)) % 78.31/78.50 (step @p105 :rule refl :args (@t185)) % 78.31/78.50 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p99 @p98) :args (@t186)) % 78.31/78.50 (step @p107 :rule aci_norm :args ((= @t188 @t186))) % 78.31/78.50 (step @p108 :rule trans :premises (@p107 @p106)) % 78.31/78.50 (step @p109 :rule cong :premises (@p108) :args (@t190)) % 78.31/78.50 (step @p110 :rule quant-merge-prenex :args ((= (forall @t9 @t192) @t190))) % 78.31/78.50 (step @p111 :rule alpha_equiv :args (@t193 (@list @t174) @t194)) % 78.31/78.50 (step @p112 :rule refl :args (@t185)) % 78.31/78.50 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t195)) % 78.31/78.50 (step @p114 :rule quant-miniscope-or :args ((= @t192 @t195))) % 78.31/78.50 (step @p115 :rule trans :premises (@p114 @p113)) % 78.31/78.50 (step @p116 :rule symm :premises (@p115)) % 78.31/78.50 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t205))) % 78.31/78.50 (step @p118 :rule trans :premises (@p117 @p110)) % 78.31/78.50 (step @p119 :rule trans :premises (@p118 @p109)) % 78.31/78.50 (step @p120 :rule aci_norm :args ((= (or @t185 @t205) @t205))) % 78.31/78.50 (step @p121 :rule bool-impl-elim :args (@t17 @t205)) % 78.31/78.50 (step @p122 :rule trans :premises (@p121 @p120)) % 78.31/78.50 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t205)))) % 78.31/78.50 (step @p124 :rule trans :premises (@p123 @p119)) % 78.31/78.50 (step @p125 :rule quant-miniscope-or :args ((= (forall @t7 @t206) @t205))) % 78.31/78.50 (step @p126 :rule aci_norm :args ((= @t207 @t206))) % 78.31/78.50 (step @p127 :rule cong :premises (@p126) :args ((forall @t7 @t207))) % 78.31/78.50 (step @p128 :rule trans :premises (@p127 @p125)) % 78.31/78.50 (step @p129 :rule aci_norm :args ((= (or @t203 @t208) @t207))) % 78.31/78.50 (step @p130 :rule bool-impl-elim :args (@t27 @t208)) % 78.31/78.50 (step @p131 :rule trans :premises (@p130 @p129)) % 78.31/78.50 (step @p132 :rule cong :premises (@p131) :args ((forall @t7 (=> @t27 @t208)))) % 78.31/78.50 (step @p133 :rule trans :premises (@p132 @p128)) % 78.31/78.50 (step @p134 :rule aci_norm :args ((= (or @t202 @t199 @t203 @t209) @t208))) % 78.31/78.50 (step @p135 :rule aci_norm :args ((= (or @t185 false @t198 @t197) @t209))) % 78.31/78.50 (step @p136 :rule refl :args (@t197)) % 78.31/78.50 (step @p137 :rule refl :args (@t198)) % 78.31/78.50 (step @p138 :rule evaluate :args ((not true))) % 78.31/78.50 (step @p139 :rule eq-refl :args (@t2)) % 78.31/78.50 (step @p140 :rule cong :premises (@p139) :args (@t210)) % 78.31/78.50 (step @p141 :rule trans :premises (@p140 @p138)) % 78.31/78.50 (step @p142 :rule nary_cong :premises (@p105 @p141 @p137 @p136) :args (@t211)) % 78.31/78.50 (step @p143 :rule trans :premises (@p142 @p135)) % 78.31/78.50 (step @p144 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t134) @t214 @t162 @t213 @t212)) @t211))) % 78.31/78.50 (step @p145 :rule refl :args (@t212)) % 78.31/78.50 (step @p146 :rule refl :args (@t213)) % 78.31/78.50 (step @p147 :rule refl :args (@t162)) % 78.31/78.50 (step @p148 :rule refl :args (@t214)) % 78.31/78.50 (step @p149 :rule eq-symm :args (@t2 @t12)) % 78.31/78.50 (step @p150 :rule cong :premises (@p149) :args (@t162)) % 78.31/78.50 (step @p151 :rule nary_cong :premises (@p150 @p148 @p147 @p146 @p145) :args (@t215)) % 78.31/78.50 (step @p152 :rule aci_norm :args ((= @t216 @t215))) % 78.31/78.50 (step @p153 :rule trans :premises (@p152 @p151)) % 78.31/78.50 (step @p154 :rule cong :premises (@p153) :args (@t217)) % 78.31/78.50 (step @p155 :rule trans :premises (@p154 @p144)) % 78.31/78.50 (step @p156 :rule trans :premises (@p155 @p143)) % 78.31/78.50 (step @p157 :rule refl :args (@t203)) % 78.31/78.50 (step @p158 :rule refl :args (@t199)) % 78.31/78.50 (step @p159 :rule refl :args (@t202)) % 78.31/78.50 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157 @p156) :args (@t218)) % 78.31/78.50 (step @p161 :rule trans :premises (@p160 @p134)) % 78.31/78.50 (step @p162 :rule quant-miniscope-or :args ((= (forall @t16 @t219) @t218))) % 78.31/78.50 (step @p163 :rule aci_norm :args ((= @t220 @t219))) % 78.31/78.50 (step @p164 :rule cong :premises (@p163) :args ((forall @t16 @t220))) % 78.31/78.50 (step @p165 :rule trans :premises (@p164 @p162)) % 78.31/78.50 (step @p166 :rule trans :premises (@p165 @p161)) % 78.31/78.50 (step @p167 :rule aci_norm :args ((= (or @t214 @t221) @t220))) % 78.31/78.50 (step @p168 :rule bool-impl-elim :args (@t15 @t221)) % 78.31/78.50 (step @p169 :rule trans :premises (@p168 @p167)) % 78.31/78.50 (step @p170 :rule cong :premises (@p169) :args ((forall @t16 (=> @t15 @t221)))) % 78.31/78.50 (step @p171 :rule trans :premises (@p170 @p166)) % 78.31/78.50 (step @p172 :rule aci_norm :args ((= (or @t162 @t202 @t199 @t222) @t221))) % 78.31/78.50 (step @p173 :rule aci_norm :args ((= (or @t203 false @t213 @t212) @t222))) % 78.31/78.50 (step @p174 :rule refl :args (@t212)) % 78.31/78.50 (step @p175 :rule refl :args (@t213)) % 78.31/78.50 (step @p176 :rule eq-refl :args (@t1)) % 78.31/78.50 (step @p177 :rule cong :premises (@p176) :args (@t223)) % 78.31/78.50 (step @p178 :rule trans :premises (@p177 @p138)) % 78.31/78.50 (step @p179 :rule nary_cong :premises (@p157 @p178 @p175 @p174) :args (@t224)) % 78.31/78.50 (step @p180 :rule trans :premises (@p179 @p173)) % 78.31/78.50 (step @p181 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t225 @t163 @t161 @t155)) @t224))) % 78.31/78.50 (step @p182 :rule refl :args (@t155)) % 78.31/78.50 (step @p183 :rule refl :args (@t161)) % 78.31/78.50 (step @p184 :rule refl :args (@t163)) % 78.31/78.50 (step @p185 :rule refl :args (@t225)) % 78.31/78.50 (step @p186 :rule eq-symm :args (@t1 @t10)) % 78.31/78.50 (step @p187 :rule cong :premises (@p186) :args (@t163)) % 78.31/78.50 (step @p188 :rule nary_cong :premises (@p187 @p185 @p184 @p183 @p182) :args (@t226)) % 78.31/78.50 (step @p189 :rule aci_norm :args ((= @t227 @t226))) % 78.31/78.50 (step @p190 :rule trans :premises (@p189 @p188)) % 78.31/78.50 (step @p191 :rule cong :premises (@p190) :args (@t228)) % 78.31/78.50 (step @p192 :rule trans :premises (@p191 @p181)) % 78.31/78.50 (step @p193 :rule trans :premises (@p192 @p180)) % 78.31/78.50 (step @p194 :rule refl :args (@t162)) % 78.31/78.50 (step @p195 :rule nary_cong :premises (@p194 @p159 @p158 @p193) :args (@t229)) % 78.31/78.50 (step @p196 :rule trans :premises (@p195 @p172)) % 78.31/78.50 (step @p197 :rule quant-miniscope-or :args ((= (forall @t14 @t230) @t229))) % 78.31/78.50 (step @p198 :rule aci_norm :args ((= @t231 @t230))) % 78.31/78.50 (step @p199 :rule cong :premises (@p198) :args ((forall @t14 @t231))) % 78.31/78.50 (step @p200 :rule trans :premises (@p199 @p197)) % 78.31/78.50 (step @p201 :rule trans :premises (@p200 @p196)) % 78.31/78.50 (step @p202 :rule aci_norm :args ((= (or @t225 @t232) @t231))) % 78.31/78.50 (step @p203 :rule bool-impl-elim :args (@t13 @t232)) % 78.31/78.50 (step @p204 :rule trans :premises (@p203 @p202)) % 78.31/78.50 (step @p205 :rule cong :premises (@p204) :args ((forall @t14 (=> @t13 @t232)))) % 78.31/78.50 (step @p206 :rule trans :premises (@p205 @p201)) % 78.31/78.50 (step @p207 :rule eq-symm :args (tptp.nil @t2)) % 78.31/78.50 (step @p208 :rule eq-symm :args (tptp.nil @t1)) % 78.31/78.50 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t135)) % 78.31/78.50 (step @p210 :rule refl :args (@t155)) % 78.31/78.50 (step @p211 :rule aci_norm :args ((= (or @t182 (or @t181 @t200)) @t201))) % 78.31/78.50 (step @p212 :rule 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78.31/78.50 (step @p1216 :rule symm :premises (@p1560)) % 78.31/78.50 (step @p1217 :rule trans :premises (@p1216 @p1215 @p1213 @p1212)) % 78.31/78.50 (step @p1218 :rule cong :premises (@p1217 @p1094) :args (@t650)) % 78.31/78.50 (step @p1219 :rule trans :premises (@p1218 @p1211)) % 78.31/78.50 (step @p1220 :rule false_elim :premises (@p1219)) % 78.31/78.50 (step-pop @p1567 :rule scope :premises (@p1220)) % 78.31/78.50 (step-pop @p1568 :rule scope :premises (@p1567)) % 78.31/78.50 (step-pop @p1569 :rule scope :premises (@p1568)) % 78.31/78.50 (step-pop @p1570 :rule scope :premises (@p1569)) % 78.31/78.50 (step-pop @p1571 :rule scope :premises (@p1570)) % 78.31/78.50 (step @p1221 :rule process_scope :premises (@p1571) :args (@t680)) % 78.31/78.50 (step @p1227 :rule and_intro :premises (@p1561 @p1559 @p1558 @p1194 @p1560)) % 78.31/78.50 (step @p1228 :rule modus_ponens :premises (@p1227 @p1221)) % 78.31/78.50 (step-pop @p1572 :rule scope :premises (@p1228)) % 78.31/78.50 (step-pop @p1573 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78.31/78.50 (step @p1244 :rule cong :premises (@p1243) :args (@t685)) % 78.31/78.50 (step @p1245 :rule nary_cong :premises (@p157 @p336 @p1244) :args (@t686)) % 78.31/78.50 (step @p1246 :rule cong :premises (@p1245) :args (@t687)) % 78.31/78.50 (step @p1247 :rule cong :premises (@p1246) :args (@t688)) % 78.31/78.50 (step @p1248 :rule nary_cong :premises (@p745 @p740 @p1247) :args (@t689)) % 78.31/78.50 (step @p1249 :rule cong :premises (@p342 @p1248) :args ((=> @t300 @t689))) % 78.31/78.50 (assume-push @p1577 @t300) % 78.31/78.50 (step @p1251 :rule instantiate :premises (@p333) :args ((@list @t425))) % 78.31/78.50 (step-pop @p1578 :rule scope :premises (@p1251)) % 78.31/78.50 (step @p1252 :rule process_scope :premises (@p1578) :args (@t689)) % 78.31/78.50 (step @p1254 :rule eq_resolve :premises (@p1252 @p1249)) % 78.31/78.50 (step @p1255 :rule implies_elim :premises (@p1254)) % 78.31/78.50 (step @p1256 :rule chain_m_resolution :premises (@p1255 @p333) :args (@t691 @t305 @t306)) % 78.31/78.50 (step @p1257 :rule cnf_or_pos :args (@t691)) % 78.31/78.50 (step @p1258 :rule reordering :premises (@p1257) :args ((or @t496 @t426 @t690 (not @t691)))) % 78.31/78.50 (step @p1259 :rule refl :args (@t692)) % 78.31/78.50 (step @p1260 :rule nary_cong :premises (@p745 @p740 @p265 @p1259) :args (@t693)) % 78.31/78.50 (step @p1261 :rule cong :premises (@p965 @p1260) :args ((=> @t611 @t693))) % 78.31/78.50 (assume-push @p1579 @t611) % 78.31/78.50 (step @p1263 :rule instantiate :premises (@p962) :args (@t499)) % 78.31/78.50 (step-pop @p1580 :rule scope :premises (@p1263)) % 78.31/78.50 (step @p1264 :rule process_scope :premises (@p1580) :args (@t693)) % 78.31/78.50 (step @p1266 :rule eq_resolve :premises (@p1264 @p1261)) % 78.31/78.50 (step @p1267 :rule implies_elim :premises (@p1266)) % 78.31/78.50 (step @p1268 :rule chain_m_resolution :premises (@p1267 @p962) :args (@t694 @t305 @t613)) % 78.31/78.50 (step @p1269 :rule cnf_or_pos :args (@t694)) % 78.31/78.50 (step @p1270 :rule 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(step @p1298 :rule eq_resolve :premises (@p1297 @p1296)) % 78.31/78.50 (step @p1299 :rule reordering :premises (@p1298) :args ((or @t699 @t703))) % 78.31/78.50 (step @p1300 :rule bool-double-not-elim :args (@t697)) % 78.31/78.50 (step @p1301 :rule nary_cong :premises (@p1290 @p1300) :args ((or @t703 (not @t698)))) % 78.31/78.50 (step @p1302 :rule cnf_or_neg :args (@t703 2)) % 78.31/78.50 (step @p1303 :rule eq_resolve :premises (@p1302 @p1301)) % 78.31/78.50 (step @p1304 :rule reordering :premises (@p1303) :args ((or @t697 @t703))) % 78.31/78.50 (step @p1305 :rule instantiate :premises (@p1062) :args ((@list @t416 @t678 @t239))) % 78.31/78.50 (step @p1306 :rule cnf_or_pos :args (@t711)) % 78.31/78.50 (step @p1307 :rule reordering :premises (@p1306) :args ((or @t254 @t464 @t702 @t710 (not @t711)))) % 78.31/78.50 (step @p1308 :rule instantiate :premises (@p520) :args ((@list @t678 @t695))) % 78.31/78.50 (step @p1309 :rule cnf_or_pos :args (@t714)) % 78.31/78.50 (step @p1310 :rule reordering :premises (@p1309) :args ((or @t702 @t700 @t713 (not @t714)))) % 78.31/78.50 (step @p1311 :rule cnf_equiv_pos2 :args (@t710)) % 78.31/78.50 (step @p1312 :rule reordering :premises (@p1311) :args ((or @t709 @t715 (not @t710)))) % 78.31/78.50 (step @p1313 :rule refl :args (@t716)) % 78.31/78.50 (step @p1314 :rule refl :args (@t717)) % 78.31/78.50 (step @p1315 :rule bool-double-not-elim :args (@t648)) % 78.31/78.50 (step @p1316 :rule refl :args (@t718)) % 78.31/78.50 (step @p1317 :rule refl :args (@t698)) % 78.31/78.50 (step @p1318 :rule nary_cong :premises (@p1317 @p1316 @p1315 @p1314 @p1313) :args ((or @t698 @t718 (not @t719) @t717 @t716))) % 78.31/78.50 (assume-push @p1583 @t697) % 78.31/78.50 (assume-push @p1584 @t713) % 78.31/78.50 (assume-push @p1585 @t719) % 78.31/78.50 (assume-push @p1586 @t692) % 78.31/78.50 (assume-push @p1587 @t719) % 78.31/78.50 (assume-push @p1588 @t692) % 78.31/78.50 (assume-push @p1589 @t697) % 78.31/78.50 (assume-push @p1590 @t713) % 78.31/78.50 (step @p1327 :rule false_intro :premises (@p1585)) % 78.31/78.50 (step @p1094 :rule refl :args (@t416)) % 78.31/78.50 (step @p1328 :rule symm :premises (@p1586)) % 78.31/78.50 (step @p1329 :rule refl :args (@t239)) % 78.31/78.50 (step @p1330 :rule symm :premises (@p1583)) % 78.31/78.50 (step @p1331 :rule cong :premises (@p1330) :args (@t712)) % 78.31/78.50 (step @p1332 :rule trans :premises (@p1584 @p1331)) % 78.31/78.50 (step @p1333 :rule cong :premises (@p1332 @p1329) :args (@t708)) % 78.31/78.50 (step @p1334 :rule trans :premises (@p1333 @p1328)) % 78.31/78.50 (step @p1335 :rule cong :premises (@p1334 @p1094) :args (@t709)) % 78.31/78.50 (step @p1336 :rule trans :premises (@p1335 @p1327)) % 78.31/78.50 (step @p1337 :rule false_elim :premises (@p1336)) % 78.31/78.50 (step-pop @p1591 :rule scope :premises (@p1337)) % 78.31/78.50 (step-pop @p1592 :rule scope :premises (@p1591)) % 78.31/78.50 (step-pop @p1593 :rule scope :premises (@p1592)) % 78.31/78.50 (step-pop @p1594 :rule scope :premises (@p1593)) % 78.31/78.50 (step @p1338 :rule process_scope :premises (@p1594) :args (@t716)) % 78.31/78.50 (step @p1343 :rule and_intro :premises (@p1585 @p1586 @p1583 @p1584)) % 78.31/78.50 (step @p1344 :rule modus_ponens :premises (@p1343 @p1338)) % 78.31/78.50 (step-pop @p1595 :rule scope :premises (@p1344)) % 78.31/78.50 (step-pop @p1596 :rule scope :premises (@p1595)) % 78.31/78.50 (step-pop @p1597 :rule scope :premises (@p1596)) % 78.31/78.50 (step-pop @p1598 :rule scope :premises (@p1597)) % 78.31/78.50 (step @p1345 :rule process_scope :premises (@p1598) :args (@t716)) % 78.31/78.50 (step @p1350 :rule implies_elim :premises (@p1345)) % 78.31/78.50 (step @p1351 :rule cnf_and_neg :args (@t720)) % 78.31/78.50 (step @p1352 :rule resolution :premises (@p1351 @p1350) :args (true @t720)) % 78.31/78.50 (step @p1353 :rule eq_resolve :premises (@p1352 @p1318)) % 78.31/78.50 (step @p1354 :rule chain_m_resolution :premises (@p1353 @p1312 @p1310 @p1308 @p1307 @p1305 @p564 @p1304 @p1299 @p1294 @p1288 @p1270 @p1268 @p827 @p564 @p1258 @p1256 @p827) :args ((or @t464 @t426 @t648 @t715) (@list false false false false false false false false false true false false false false true false false) (@list @t709 @t713 @t714 @t710 @t711 @t253 @t697 @t699 @t701 @t703 @t692 @t694 @t495 @t253 @t677 @t691 @t495))) % 78.31/78.50 (step @p1355 :rule bool-impl-elim :args (@t17 @t721)) % 78.31/78.50 (step @p1356 :rule cong :premises (@p1355) :args ((forall @t9 (=> @t17 @t721)))) % 78.31/78.50 (step @p1357 :rule eq-symm :args (@t95 @t2)) % 78.31/78.50 (step @p1358 :rule cong :premises (@p243 @p1357) :args (@t96)) % 78.31/78.50 (step @p1359 :rule cong :premises (@p1358) :args (@t97)) % 78.31/78.50 (step @p1360 :rule trans :premises (@p1359 @p1356)) % 78.31/78.50 (step @p1361 :rule eq_resolve :premises (@p28 @p1360)) % 78.31/78.50 (step @p1362 :rule instantiate :premises (@p1361) :args (@t397)) % 78.31/78.50 (step @p1363 :rule cnf_or_pos :args (@t724)) % 78.31/78.50 (step @p1364 :rule reordering :premises (@p1363) :args ((or @t254 @t723 (not @t724)))) % 78.31/78.50 (step @p1365 :rule chain_m_resolution :premises (@p1364 @p564 @p1362) :args (@t723 @t402 (@list @t253 @t724))) % 78.31/78.50 (step @p1366 :rule instantiate :premises (@p812) :args ((@list @t239 @t239))) % 78.31/78.50 (step @p1367 :rule cnf_or_pos :args (@t729)) % 78.31/78.50 (step @p1368 :rule factoring :premises (@p1367)) % 78.31/78.50 (step @p1369 :rule reordering :premises (@p1368) :args ((or @t254 @t728 (not @t729)))) % 78.31/78.50 (step @p1370 :rule chain_m_resolution :premises (@p1369 @p564 @p1366) :args (@t728 @t402 (@list @t253 @t729))) % 78.31/78.50 (step @p1371 :rule instantiate :premises (@p1123) :args (@t397)) % 78.31/78.50 (step @p1372 :rule cnf_or_pos :args (@t730)) % 78.31/78.50 (step @p1373 :rule reordering :premises (@p1372) :args ((or @t254 @t727 (not @t730)))) % 78.31/78.50 (step @p1374 :rule chain_m_resolution :premises (@p1373 @p564 @p1371) :args (@t727 @t402 (@list @t253 @t730))) % 78.31/78.50 (step @p1375 :rule cnf_equiv_pos1 :args (@t728)) % 78.31/78.50 (step @p1376 :rule reordering :premises (@p1375) :args ((or (not @t727) @t726 (not @t728)))) % 78.31/78.50 (step @p1377 :rule chain_m_resolution :premises (@p1376 @p1374 @p1370) :args (@t726 @t402 (@list @t727 @t728))) % 78.31/78.50 (step @p1378 :rule skolemize :premises (@p1377)) % 78.31/78.50 (step @p1379 :rule bool-double-not-elim :args (@t734)) % 78.31/78.50 (step @p1380 :rule refl :args (@t736)) % 78.31/78.50 (step @p1381 :rule nary_cong :premises (@p1380 @p1379) :args ((or @t736 (not @t735)))) % 78.31/78.50 (step @p1382 :rule cnf_or_neg :args (@t736 2)) % 78.31/78.50 (step @p1383 :rule eq_resolve :premises (@p1382 @p1381)) % 78.31/78.50 (step @p1384 :rule reordering :premises (@p1383) :args ((or @t734 @t736))) % 78.31/78.50 (step @p1385 :rule chain_m_resolution :premises (@p1384 @p1378) :args (@t734 @t266 (@list @t736))) % 78.31/78.50 (assume-push @p1599 @t723) % 78.31/78.50 (assume-push @p1600 @t537) % 78.31/78.50 (assume-push @p1601 @t426) % 78.31/78.50 (assume-push @p1602 @t580) % 78.31/78.50 (assume-push @p1603 @t734) % 78.31/78.50 (assume-push @p1604 @t537) % 78.31/78.50 (assume-push @p1605 @t580) % 78.31/78.50 (assume-push @p1606 @t734) % 78.31/78.50 (assume-push @p1607 @t426) % 78.31/78.50 (assume-push @p1608 @t723) % 78.31/78.50 (step @p1214 :rule symm :premises (@p1194)) % 78.31/78.50 (step @p1396 :rule cong :premises (@p1214) :args (@t579)) % 78.31/78.50 (step @p1397 :rule symm :premises (@p1385)) % 78.31/78.50 (step @p1398 :rule refl :args (@t425)) % 78.31/78.50 (step @p1399 :rule cong :premises (@p1398 @p1397) :args ((tptp.app @t425 @t733))) % 78.31/78.50 (step @p1400 :rule cong :premises (@p1601 @p1385) :args (@t722)) % 78.31/78.50 (step @p1401 :rule trans :premises (@p1365 @p1400 @p1399)) % 78.31/78.50 (step @p1402 :rule cong :premises (@p1401) :args (@t416)) % 78.31/78.50 (step @p1403 :rule trans :premises (@p1402 @p1602 @p1396)) % 78.31/78.50 (step-pop @p1609 :rule scope :premises (@p1403)) % 78.31/78.50 (step-pop @p1610 :rule scope :premises (@p1609)) % 78.31/78.50 (step-pop @p1611 :rule scope :premises (@p1610)) % 78.31/78.50 (step-pop @p1612 :rule scope :premises (@p1611)) % 78.31/78.50 (step-pop @p1613 :rule scope :premises (@p1612)) % 78.31/78.50 (step @p1404 :rule process_scope :premises (@p1613) :args (@t458)) % 78.31/78.50 (step @p1410 :rule and_intro :premises (@p1194 @p1602 @p1385 @p1601 @p1365)) % 78.31/78.50 (step @p1411 :rule modus_ponens :premises (@p1410 @p1404)) % 78.31/78.50 (step-pop @p1614 :rule scope :premises (@p1411)) % 78.31/78.50 (step-pop @p1615 :rule scope :premises (@p1614)) % 78.31/78.50 (step-pop @p1616 :rule scope :premises (@p1615)) % 78.31/78.50 (step-pop @p1617 :rule scope :premises (@p1616)) % 78.31/78.50 (step-pop @p1618 :rule scope :premises (@p1617)) % 78.31/78.50 (step @p1412 :rule process_scope :premises (@p1618) :args (@t458)) % 78.31/78.50 (step @p1418 :rule implies_elim :premises (@p1412)) % 78.31/78.50 (step @p1419 :rule cnf_and_neg :args (@t737)) % 78.31/78.50 (step @p1420 :rule resolution :premises (@p1419 @p1418) :args (true @t737)) % 78.31/78.50 (step @p1421 :rule reordering :premises (@p1420) :args ((or @t458 (not @t723) @t538 (not @t426) (not @t580) @t735))) % 78.31/78.50 (step @p1422 :rule chain_m_resolution :premises (@p1421 @p1385 @p1194 @p1365 @p1354 @p1242 @p1241 @p1239 @p1194 @p1188 @p1187 @p1185 @p1183 @p1182 @p1138 @p1115 @p1086 @p1084 @p1065 @p1063 @p841 @p1025 @p1004 @p1002 @p865 @p975 @p973 @p865 @p841 @p922 @p920 @p865 @p841 @p835 @p833 @p17 @p832 @p830 @p707 @p704 @p17 @p684 @p682 @p641 @p636 @p630 @p628 @p626 @p564 @p616 @p599 @p39 @p569 @p567) :args ((or @t241 @t463 @t348 @t344 @t675 @t682) (@list false false false false true true true false true true true false true false false true false false false false false false false false false false false false false false false false false false false true false false false false false false false false true false false false true true true true false) (@list @t734 @t537 @t723 @t426 @t648 @t649 @t650 @t537 @t457 @t458 @t459 @t679 @t461 @t671 @t660 @t654 @t659 @t651 @t653 @t539 @t620 @t616 @t619 @t557 @t609 @t612 @t557 @t539 @t580 @t586 @t557 @t539 @t544 @t545 @t57 @t493 @t500 @t467 @t473 @t57 @t462 @t465 @t407 @t409 @t427 @t417 @t419 @t253 @t411 @t245 @t119 @t398 @t400))) % 78.31/78.50 (step @p1423 :rule chain_m_resolution :premises (@p1422 @p523 @p521 @p496 @p494 @p468 @p463 @p458 @p452 @p446 @p444 @p426 @p420 @p383 @p381 @p290 @p352 @p350 @p290) :args (@t246 (@list false false false false false false false false true true false false false false false true false false) (@list @t383 @t384 @t369 @t370 @t343 @t345 @t347 @t240 @t242 @t349 @t238 @t336 @t312 @t315 @t251 @t302 @t304 @t251))) % 78.31/78.50 (step @p1424 :rule bool-impl-elim :args (@t17 @t738)) % 78.31/78.50 (step @p1425 :rule cong :premises (@p1424) :args ((forall @t9 (=> @t17 @t738)))) % 78.31/78.50 (step @p1426 :rule eq-symm :args (@t178 @t126)) % 78.31/78.50 (step @p1427 :rule refl :args (@t126)) % 78.31/78.50 (step @p1428 :rule cong :premises (@p207 @p1427) :args ((= @t64 @t126))) % 78.31/78.50 (step @p1429 :rule trans :premises (@p1428 @p1426)) % 78.31/78.50 (step @p1430 :rule eq-symm :args (@t126 @t64)) % 78.31/78.50 (step @p1431 :rule trans :premises (@p1430 @p1429)) % 78.31/78.50 (step @p1432 :rule cong :premises (@p243 @p1431) :args (@t127)) % 78.31/78.50 (step @p1433 :rule cong :premises (@p1432) :args (@t128)) % 78.31/78.50 (step @p1434 :rule trans :premises (@p1433 @p1425)) % 78.31/78.50 (step @p1435 :rule eq_resolve :premises (@p58 @p1434)) % 78.31/78.50 (step @p1436 :rule refl :args (@t739)) % 78.31/78.50 (step @p1437 :rule cong :premises (@p254 @p1436) :args ((= @t258 @t739))) % 78.31/78.50 (step @p1438 :rule eq-symm :args (@t739 @t258)) % 78.31/78.50 (step @p1439 :rule trans :premises (@p1438 @p1437)) % 78.31/78.50 (step @p1440 :rule nary_cong :premises (@p265 @p1439) :args (@t740)) % 78.31/78.50 (step @p1441 :rule refl :args (@t741)) % 78.31/78.50 (step @p1442 :rule cong :premises (@p1441 @p1440) :args ((=> @t741 @t740))) % 78.31/78.50 (assume-push @p1619 @t741) % 78.31/78.50 (step @p1444 :rule instantiate :premises (@p1435) :args (@t397)) % 78.31/78.50 (step-pop @p1620 :rule scope :premises (@p1444)) % 78.31/78.50 (step @p1445 :rule process_scope :premises (@p1620) :args (@t740)) % 78.31/78.50 (step @p1447 :rule eq_resolve :premises (@p1445 @p1442)) % 78.31/78.50 (step @p1448 :rule implies_elim :premises (@p1447)) % 78.31/78.50 (step @p1449 :rule chain_m_resolution :premises (@p1448 @p1435) :args (@t743 @t305 (@list @t741))) % 78.31/78.50 (step @p1450 :rule cnf_or_pos :args (@t743)) % 78.31/78.50 (step @p1451 :rule reordering :premises (@p1450) :args ((or @t254 @t742 (not @t743)))) % 78.31/78.50 (step @p1452 :rule chain_m_resolution :premises (@p1451 @p564 @p1449) :args (@t742 @t402 (@list @t253 @t743))) % 78.31/78.50 (step @p1453 :rule cnf_or_neg :args (@t255 3)) % 78.31/78.50 (step @p1454 :rule chain_m_resolution :premises (@p1453 @p277) :args ((not @t247) @t266 @t267)) % 78.31/78.50 (step @p1455 :rule cnf_and_neg :args (@t247)) % 78.31/78.50 (step @p1456 :rule chain_m_resolution :premises (@p1455 @p1454 @p1423) :args (@t403 @t744 (@list @t247 @t246))) % 78.31/78.50 (step @p1457 :rule cnf_equiv_pos2 :args (@t742)) % 78.31/78.50 (step @p1458 :rule reordering :premises (@p1457) :args ((or @t245 @t745 (not @t742)))) % 78.31/78.50 (step @p1459 :rule chain_m_resolution :premises (@p1458 @p1456 @p1452) :args (@t745 @t744 (@list @t245 @t742))) % 78.31/78.50 (assume-push @p1621 @t246) % 78.31/78.50 (assume-push @p1622 @t243) % 78.31/78.50 (assume-push @p1623 @t243) % 78.31/78.50 (assume-push @p1624 @t246) % 78.31/78.50 (step @p1464 :rule true_intro :premises (@p284)) % 78.31/78.50 (step @p1329 :rule refl :args (@t239)) % 78.31/78.50 (step @p1465 :rule cong :premises (@p1621 @p1329) :args (@t739)) % 78.31/78.50 (step @p1466 :rule trans :premises (@p1465 @p1464)) % 78.31/78.50 (step @p1467 :rule true_elim :premises (@p1466)) % 78.31/78.50 (step-pop @p1625 :rule scope :premises (@p1467)) % 78.31/78.50 (step-pop @p1626 :rule scope :premises (@p1625)) % 78.31/78.50 (step @p1468 :rule process_scope :premises (@p1626) :args (@t739)) % 78.31/78.50 (step @p1471 :rule and_intro :premises (@p284 @p1621)) % 78.31/78.50 (step @p1472 :rule modus_ponens :premises (@p1471 @p1468)) % 78.31/78.50 (step-pop @p1627 :rule scope :premises (@p1472)) % 78.31/78.50 (step-pop @p1628 :rule scope :premises (@p1627)) % 78.31/78.50 (step @p1473 :rule process_scope :premises (@p1628) :args (@t739)) % 78.31/78.50 (step @p1476 :rule implies_elim :premises (@p1473)) % 78.31/78.50 (step @p1477 :rule cnf_and_neg :args (@t746)) % 78.31/78.50 (step @p1478 :rule resolution :premises (@p1477 @p1476) :args (true @t746)) % 78.31/78.50 (step @p1479 :rule reordering :premises (@p1478) :args ((or @t244 @t335 @t739))) % 78.31/78.50 (step @p1480 false :rule chain_m_resolution :premises (@p1479 @p1459 @p1423 @p284) :args (false (@list true false false) (@list @t739 @t246 @t243))) % 78.31/78.50 ) % 78.31/78.50 % SZS output end Proof % 78.31/78.50 % cvc5 exiting %------------------------------------------------------------------------------