%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC175+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:58:20 AM UTC 2026 % Result : Theorem 35.15s 35.34s % Output : Proof 35.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC175+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:21:08 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 35.15/35.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.15/35.34 --- Run --no-e-matching --full-saturate-quant at 6... % 35.15/35.34 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.15/35.34 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.15/35.34 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.15/35.34 % SZS status Theorem % 35.15/35.34 % SZS output start Proof % 35.15/35.34 ( % 35.15/35.34 (declare-sort $$unsorted 0) % 35.15/35.34 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 35.15/35.34 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 35.15/35.34 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 35.15/35.34 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 35.15/35.34 (declare-const tptp.nil $$unsorted) % 35.15/35.34 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.ssList (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 35.15/35.34 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 35.15/35.34 (define @t1 () (@var "V" $$unsorted)) % 35.15/35.34 (define @t2 () (@var "U" $$unsorted)) % 35.15/35.34 (define @t3 () (= @t2 @t1)) % 35.15/35.34 (define @t4 () (not @t3)) % 35.15/35.34 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 35.15/35.34 (define @t6 () (tptp.ssItem @t1)) % 35.15/35.34 (define @t7 () (@list @t1)) % 35.15/35.34 (define @t8 () (forall @t7 (=> @t6 @t5))) % 35.15/35.34 (define @t9 () (tptp.ssItem @t2)) % 35.15/35.34 (define @t10 () (=> @t9 @t8)) % 35.15/35.34 (define @t11 () (@list @t2)) % 35.15/35.34 (define @t12 () (forall @t11 @t10)) % 35.15/35.34 (define @t13 () (@var "X" $$unsorted)) % 35.15/35.34 (define @t14 () (tptp.cons @t1 @t13)) % 35.15/35.34 (define @t15 () (@var "W" $$unsorted)) % 35.15/35.34 (define @t16 () (tptp.ssList @t13)) % 35.15/35.34 (define @t17 () (@list @t13)) % 35.15/35.34 (define @t18 () (tptp.ssList @t15)) % 35.15/35.34 (define @t19 () (@list @t15)) % 35.15/35.34 (define @t20 () (tptp.ssList @t2)) % 35.15/35.34 (define @t21 () (tptp.cons @t1 tptp.nil)) % 35.15/35.34 (define @t22 () (tptp.app @t1 @t15)) % 35.15/35.34 (define @t23 () (tptp.frontsegP @t2 @t1)) % 35.15/35.34 (define @t24 () (tptp.ssList @t1)) % 35.15/35.34 (define @t25 () (tptp.app @t15 @t1)) % 35.15/35.34 (define @t26 () (tptp.rearsegP @t2 @t1)) % 35.15/35.34 (define @t27 () (tptp.segmentP @t2 @t1)) % 35.15/35.34 (define @t28 () (tptp.leq @t15 @t1)) % 35.15/35.34 (define @t29 () (tptp.leq @t1 @t15)) % 35.15/35.34 (define @t30 () (@var "Z" $$unsorted)) % 35.15/35.34 (define @t31 () (@var "Y" $$unsorted)) % 35.15/35.34 (define @t32 () (tptp.app @t13 (tptp.cons @t1 @t31))) % 35.15/35.34 (define @t33 () (tptp.app @t32 (tptp.cons @t15 @t30))) % 35.15/35.34 (define @t34 () (= @t33 @t2)) % 35.15/35.34 (define @t35 () (tptp.ssList @t30)) % 35.15/35.34 (define @t36 () (@list @t30)) % 35.15/35.34 (define @t37 () (tptp.ssList @t31)) % 35.15/35.34 (define @t38 () (@list @t31)) % 35.15/35.34 (define @t39 () (tptp.ssItem @t15)) % 35.15/35.34 (define @t40 () (tptp.lt @t1 @t15)) % 35.15/35.34 (define @t41 () (=> @t34 @t40)) % 35.15/35.34 (define @t42 () (=> @t35 @t41)) % 35.15/35.34 (define @t43 () (forall @t36 @t42)) % 35.15/35.34 (define @t44 () (=> @t37 @t43)) % 35.15/35.34 (define @t45 () (forall @t38 @t44)) % 35.15/35.34 (define @t46 () (=> @t16 @t45)) % 35.15/35.34 (define @t47 () (forall @t17 @t46)) % 35.15/35.34 (define @t48 () (=> @t39 @t47)) % 35.15/35.34 (define @t49 () (forall @t19 @t48)) % 35.15/35.34 (define @t50 () (=> @t6 @t49)) % 35.15/35.34 (define @t51 () (forall @t7 @t50)) % 35.15/35.34 (define @t52 () (tptp.strictorderedP @t2)) % 35.15/35.34 (define @t53 () (= @t52 @t51)) % 35.15/35.34 (define @t54 () (=> @t20 @t53)) % 35.15/35.34 (define @t55 () (forall @t11 @t54)) % 35.15/35.34 (define @t56 () (= @t1 @t15)) % 35.15/35.34 (define @t57 () (tptp.cons @t1 @t2)) % 35.15/35.34 (define @t58 () (tptp.ssList @t57)) % 35.15/35.34 (define @t59 () (forall @t7 (=> @t6 @t58))) % 35.15/35.34 (define @t60 () (=> @t20 @t59)) % 35.15/35.34 (define @t61 () (forall @t11 @t60)) % 35.15/35.34 (define @t62 () (tptp.ssList tptp.nil)) % 35.15/35.34 (define @t63 () (= @t1 @t2)) % 35.15/35.34 (define @t64 () (tptp.cons @t15 @t1)) % 35.15/35.34 (define @t65 () (= tptp.nil @t2)) % 35.15/35.34 (define @t66 () (tptp.hd @t2)) % 35.15/35.34 (define @t67 () (not @t65)) % 35.15/35.34 (define @t68 () (tptp.tl @t2)) % 35.15/35.34 (define @t69 () (tptp.app @t2 @t1)) % 35.15/35.34 (define @t70 () (tptp.ssList @t69)) % 35.15/35.34 (define @t71 () (forall @t7 (=> @t24 @t70))) % 35.15/35.34 (define @t72 () (=> @t20 @t71)) % 35.15/35.34 (define @t73 () (forall @t11 @t72)) % 35.15/35.34 (define @t74 () (tptp.app @t1 @t2)) % 35.15/35.34 (define @t75 () (tptp.leq @t1 @t2)) % 35.15/35.34 (define @t76 () (tptp.leq @t2 @t1)) % 35.15/35.34 (define @t77 () (tptp.geq @t2 @t1)) % 35.15/35.34 (define @t78 () (tptp.lt @t1 @t2)) % 35.15/35.34 (define @t79 () (not @t78)) % 35.15/35.34 (define @t80 () (tptp.lt @t2 @t1)) % 35.15/35.34 (define @t81 () (=> @t80 @t79)) % 35.15/35.34 (define @t82 () (forall @t7 (=> @t6 @t81))) % 35.15/35.34 (define @t83 () (=> @t9 @t82)) % 35.15/35.34 (define @t84 () (forall @t11 @t83)) % 35.15/35.34 (define @t85 () (tptp.lt @t2 @t15)) % 35.15/35.34 (define @t86 () (tptp.gt @t2 @t1)) % 35.15/35.34 (define @t87 () (tptp.memberP @t15 @t2)) % 35.15/35.34 (define @t88 () (tptp.app @t15 @t2)) % 35.15/35.34 (define @t89 () (tptp.cons @t2 tptp.nil)) % 35.15/35.34 (define @t90 () (tptp.hd @t1)) % 35.15/35.34 (define @t91 () (= tptp.nil @t1)) % 35.15/35.34 (define @t92 () (not @t91)) % 35.15/35.34 (define @t93 () (tptp.cons @t2 @t1)) % 35.15/35.34 (define @t94 () (= @t15 @t2)) % 35.15/35.34 (define @t95 () (= @t57 (tptp.app @t21 @t2))) % 35.15/35.34 (define @t96 () (forall @t7 (=> @t6 @t95))) % 35.15/35.34 (define @t97 () (=> @t20 @t96)) % 35.15/35.34 (define @t98 () (forall @t11 @t97)) % 35.15/35.34 (define @t99 () (= (tptp.app @t69 @t15) (tptp.app @t2 @t22))) % 35.15/35.34 (define @t100 () (forall @t19 (=> @t18 @t99))) % 35.15/35.34 (define @t101 () (=> @t24 @t100)) % 35.15/35.34 (define @t102 () (forall @t7 @t101)) % 35.15/35.34 (define @t103 () (=> @t20 @t102)) % 35.15/35.34 (define @t104 () (forall @t11 @t103)) % 35.15/35.34 (define @t105 () (not (= tptp.nil @t13))) % 35.15/35.34 (define @t106 () (and @t105 (= tptp.nil @t15))) % 35.15/35.34 (define @t107 () (@var "X5" $$unsorted)) % 35.15/35.34 (define @t108 () (@var "X4" $$unsorted)) % 35.15/35.34 (define @t109 () (tptp.neq @t108 @t107)) % 35.15/35.34 (define @t110 () (@var "X7" $$unsorted)) % 35.15/35.34 (define @t111 () (tptp.cons @t107 tptp.nil)) % 35.15/35.34 (define @t112 () (tptp.cons @t108 tptp.nil)) % 35.15/35.34 (define @t113 () (@var "X6" $$unsorted)) % 35.15/35.34 (define @t114 () (tptp.app (tptp.app @t113 @t112) @t111)) % 35.15/35.34 (define @t115 () (tptp.app @t114 @t110)) % 35.15/35.34 (define @t116 () (not (= @t115 @t2))) % 35.15/35.34 (define @t117 () (tptp.ssList @t110)) % 35.15/35.34 (define @t118 () (=> @t117 @t116)) % 35.15/35.34 (define @t119 () (@list @t110)) % 35.15/35.34 (define @t120 () (forall @t119 @t118)) % 35.15/35.34 (define @t121 () (tptp.ssList @t113)) % 35.15/35.34 (define @t122 () (=> @t121 @t120)) % 35.15/35.34 (define @t123 () (@list @t113)) % 35.15/35.34 (define @t124 () (forall @t123 @t122)) % 35.15/35.34 (define @t125 () (or @t124 @t109)) % 35.15/35.34 (define @t126 () (tptp.ssItem @t107)) % 35.15/35.34 (define @t127 () (=> @t126 @t125)) % 35.15/35.34 (define @t128 () (@list @t107)) % 35.15/35.34 (define @t129 () (forall @t128 @t127)) % 35.15/35.34 (define @t130 () (tptp.ssItem @t108)) % 35.15/35.34 (define @t131 () (=> @t130 @t129)) % 35.15/35.34 (define @t132 () (@list @t108)) % 35.15/35.34 (define @t133 () (forall @t132 @t131)) % 35.15/35.34 (define @t134 () (@var "X2" $$unsorted)) % 35.15/35.34 (define @t135 () (tptp.lt @t134 @t30)) % 35.15/35.34 (define @t136 () (tptp.cons @t134 tptp.nil)) % 35.15/35.34 (define @t137 () (@var "X3" $$unsorted)) % 35.15/35.34 (define @t138 () (tptp.app @t137 @t136)) % 35.15/35.34 (define @t139 () (tptp.ssList @t137)) % 35.15/35.34 (define @t140 () (and @t139 (= @t138 @t15) @t135)) % 35.15/35.34 (define @t141 () (@list @t137)) % 35.15/35.34 (define @t142 () (exists @t141 @t140)) % 35.15/35.34 (define @t143 () (tptp.ssItem @t134)) % 35.15/35.34 (define @t144 () (and @t143 @t142)) % 35.15/35.34 (define @t145 () (@list @t134)) % 35.15/35.34 (define @t146 () (exists @t145 @t144)) % 35.15/35.34 (define @t147 () (@var "X1" $$unsorted)) % 35.15/35.34 (define @t148 () (tptp.cons @t30 tptp.nil)) % 35.15/35.34 (define @t149 () (tptp.app @t148 @t147)) % 35.15/35.34 (define @t150 () (tptp.ssList @t147)) % 35.15/35.34 (define @t151 () (and @t150 (= @t149 @t31) @t146)) % 35.15/35.34 (define @t152 () (@list @t147)) % 35.15/35.34 (define @t153 () (exists @t152 @t151)) % 35.15/35.34 (define @t154 () (tptp.ssItem @t30)) % 35.15/35.34 (define @t155 () (and @t154 @t153)) % 35.15/35.34 (define @t156 () (exists @t36 @t155)) % 35.15/35.34 (define @t157 () (not (tptp.strictorderedP @t15))) % 35.15/35.34 (define @t158 () (tptp.app @t15 @t31)) % 35.15/35.34 (define @t159 () (not (= @t158 @t13))) % 35.15/35.34 (define @t160 () (or @t159 @t157 @t156)) % 35.15/35.34 (define @t161 () (=> @t37 @t160)) % 35.15/35.34 (define @t162 () (forall @t38 @t161)) % 35.15/35.34 (define @t163 () (not (= @t2 @t15))) % 35.15/35.34 (define @t164 () (not (= @t1 @t13))) % 35.15/35.34 (define @t165 () (or @t164 @t163 @t162 @t133 @t106)) % 35.15/35.34 (define @t166 () (=> @t16 @t165)) % 35.15/35.34 (define @t167 () (forall @t17 @t166)) % 35.15/35.34 (define @t168 () (=> @t18 @t167)) % 35.15/35.34 (define @t169 () (forall @t19 @t168)) % 35.15/35.34 (define @t170 () (=> @t24 @t169)) % 35.15/35.34 (define @t171 () (forall @t7 @t170)) % 35.15/35.34 (define @t172 () (=> @t20 @t171)) % 35.15/35.34 (define @t173 () (forall @t11 @t172)) % 35.15/35.34 (define @t174 () (not @t173)) % 35.15/35.34 (define @t175 () (@var "BOUND_VARIABLE_8220" $$unsorted)) % 35.15/35.34 (define @t176 () (= (tptp.neq @t2 @t175) (not (= @t2 @t175)))) % 35.15/35.34 (define @t177 () (not (tptp.ssItem @t175))) % 35.15/35.34 (define @t178 () (not @t9)) % 35.15/35.34 (define @t179 () (or @t177 @t176)) % 35.15/35.34 (define @t180 () (or @t178 @t179)) % 35.15/35.34 (define @t181 () (forall (@list @t2 @t175) @t180)) % 35.15/35.34 (define @t182 () (@list @t175)) % 35.15/35.34 (define @t183 () (forall @t182 @t180)) % 35.15/35.34 (define @t184 () (forall @t182 @t179)) % 35.15/35.34 (define @t185 () (@list @t1)) % 35.15/35.34 (define @t186 () (or @t178 @t184)) % 35.15/35.34 (define @t187 () (not @t6)) % 35.15/35.34 (define @t188 () (forall @t7 (or @t187 @t5))) % 35.15/35.34 (define @t189 () (@var "BOUND_VARIABLE_11324" $$unsorted)) % 35.15/35.34 (define @t190 () (@var "BOUND_VARIABLE_11052" $$unsorted)) % 35.15/35.34 (define @t191 () (tptp.app @t148 @t190)) % 35.15/35.34 (define @t192 () (not (= @t191 @t189))) % 35.15/35.34 (define @t193 () (not (tptp.ssList @t190))) % 35.15/35.34 (define @t194 () (@var "BOUND_VARIABLE_11305" $$unsorted)) % 35.15/35.34 (define @t195 () (@var "BOUND_VARIABLE_11301" $$unsorted)) % 35.15/35.34 (define @t196 () (@var "BOUND_VARIABLE_11299" $$unsorted)) % 35.15/35.34 (define @t197 () (@var "BOUND_VARIABLE_11303" $$unsorted)) % 35.15/35.34 (define @t198 () (tptp.app (tptp.app (tptp.app @t197 (tptp.cons @t196 tptp.nil)) (tptp.cons @t195 tptp.nil)) @t194)) % 35.15/35.34 (define @t199 () (@var "BOUND_VARIABLE_11037" $$unsorted)) % 35.15/35.34 (define @t200 () (@var "BOUND_VARIABLE_11039" $$unsorted)) % 35.15/35.34 (define @t201 () (tptp.app @t200 (tptp.cons @t199 tptp.nil))) % 35.15/35.34 (define @t202 () (not (tptp.ssList @t200))) % 35.15/35.34 (define @t203 () (not (tptp.lt @t199 @t30))) % 35.15/35.34 (define @t204 () (not (tptp.ssItem @t199))) % 35.15/35.34 (define @t205 () (not @t154)) % 35.15/35.34 (define @t206 () (@list @t30 @t199 @t200 @t190)) % 35.15/35.34 (define @t207 () (not (forall @t206 (or @t205 @t204 @t203 @t202 (not (= @t201 @t198)) @t193 @t192)))) % 35.15/35.34 (define @t208 () (not (tptp.ssList @t189))) % 35.15/35.34 (define @t209 () (tptp.app @t198 @t189)) % 35.15/35.34 (define @t210 () (not (= tptp.nil @t209))) % 35.15/35.34 (define @t211 () (and @t210 (= tptp.nil @t198))) % 35.15/35.34 (define @t212 () (not (tptp.ssList @t209))) % 35.15/35.34 (define @t213 () (not (tptp.ssList @t194))) % 35.15/35.34 (define @t214 () (not (tptp.ssList @t197))) % 35.15/35.34 (define @t215 () (tptp.neq @t196 @t195)) % 35.15/35.34 (define @t216 () (not (tptp.ssItem @t195))) % 35.15/35.34 (define @t217 () (not (tptp.ssItem @t196))) % 35.15/35.34 (define @t218 () (not (tptp.strictorderedP @t198))) % 35.15/35.34 (define @t219 () (not (tptp.ssList @t198))) % 35.15/35.34 (define @t220 () (or @t219 @t218 @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t208 @t207)) % 35.15/35.34 (define @t221 () (@list @t196 @t195 @t197 @t194 @t189)) % 35.15/35.34 (define @t222 () (forall @t221 @t220)) % 35.15/35.34 (define @t223 () (@quantifiers_skolemize @t222 1)) % 35.15/35.34 (define @t224 () (@quantifiers_skolemize @t222 0)) % 35.15/35.34 (define @t225 () (not (= @t198 @t201))) % 35.15/35.34 (define @t226 () (or @t205 @t204 @t203 @t202 @t225 @t193 @t192)) % 35.15/35.34 (define @t227 () (forall @t206 @t226)) % 35.15/35.34 (define @t228 () (not @t227)) % 35.15/35.34 (define @t229 () (and @t210 (= @t198 tptp.nil))) % 35.15/35.34 (define @t230 () (not (= @t198 @t198))) % 35.15/35.34 (define @t231 () (or @t219 @t218 @t217 @t216 @t215 @t214 @t213 @t230 @t212 @t229 @t208 @t228)) % 35.15/35.34 (define @t232 () (not (= @t2 @t201))) % 35.15/35.34 (define @t233 () (not (forall @t206 (or @t205 @t204 @t203 @t202 @t232 @t193 @t192)))) % 35.15/35.34 (define @t234 () (= @t2 tptp.nil)) % 35.15/35.34 (define @t235 () (tptp.app @t2 @t189)) % 35.15/35.34 (define @t236 () (and (not (= tptp.nil @t235)) @t234)) % 35.15/35.34 (define @t237 () (not (tptp.ssList @t235))) % 35.15/35.34 (define @t238 () (not (= @t2 @t198))) % 35.15/35.34 (define @t239 () (not @t52)) % 35.15/35.34 (define @t240 () (not @t20)) % 35.15/35.34 (define @t241 () (or @t238 @t240 @t239 @t217 @t216 @t215 @t214 @t213 @t238 @t237 @t236 @t208 @t233)) % 35.15/35.34 (define @t242 () (or @t240 @t239 @t217 @t216 @t215 @t214 @t213 @t238 @t237 @t236 @t208 @t233)) % 35.15/35.34 (define @t243 () (forall @t11 @t242)) % 35.15/35.34 (define @t244 () (forall @t221 @t243)) % 35.15/35.34 (define @t245 () (forall (@list @t196 @t195 @t197 @t194 @t189 @t2) @t242)) % 35.15/35.34 (define @t246 () (@list @t2 @t196 @t195 @t197 @t194 @t189)) % 35.15/35.34 (define @t247 () (or @t237 @t236 @t208 @t233)) % 35.15/35.34 (define @t248 () (or @t217 @t216 @t215 @t214 @t213 @t238)) % 35.15/35.34 (define @t249 () (or @t240 @t248 @t239 @t247)) % 35.15/35.34 (define @t250 () (forall @t246 @t249)) % 35.15/35.34 (define @t251 () (forall @t221 @t249)) % 35.15/35.34 (define @t252 () (forall (@list @t189) @t247)) % 35.15/35.34 (define @t253 () (@var "BOUND_VARIABLE_11260" $$unsorted)) % 35.15/35.34 (define @t254 () (@list @t253)) % 35.15/35.34 (define @t255 () (forall (@list @t196 @t195 @t197 @t194) @t248)) % 35.15/35.34 (define @t256 () (@var "BOUND_VARIABLE_11133" $$unsorted)) % 35.15/35.34 (define @t257 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 35.15/35.34 (define @t258 () (@var "BOUND_VARIABLE_11129" $$unsorted)) % 35.15/35.34 (define @t259 () (or @t240 @t255 @t239 @t252)) % 35.15/35.34 (define @t260 () (not (forall @t206 (or @t205 @t204 @t203 @t202 @t232 @t193 (not (= @t191 @t253)))))) % 35.15/35.34 (define @t261 () (not (tptp.ssList @t253))) % 35.15/35.34 (define @t262 () (tptp.app @t2 @t253)) % 35.15/35.34 (define @t263 () (and (not (= tptp.nil @t262)) @t234)) % 35.15/35.34 (define @t264 () (not (tptp.ssList @t262))) % 35.15/35.34 (define @t265 () (or @t264 @t263 @t261 @t260)) % 35.15/35.34 (define @t266 () (@list @t253)) % 35.15/35.34 (define @t267 () (forall @t266 @t265)) % 35.15/35.34 (define @t268 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t257 @t112) (tptp.cons @t258 tptp.nil)) @t256)))) % 35.15/35.34 (define @t269 () (not (tptp.ssList @t256))) % 35.15/35.34 (define @t270 () (not (tptp.ssList @t257))) % 35.15/35.34 (define @t271 () (tptp.neq @t108 @t258)) % 35.15/35.34 (define @t272 () (not (tptp.ssItem @t258))) % 35.15/35.34 (define @t273 () (not @t130)) % 35.15/35.34 (define @t274 () (or @t273 @t272 @t271 @t270 @t269 @t268)) % 35.15/35.34 (define @t275 () (@list @t108 @t258 @t257 @t256)) % 35.15/35.34 (define @t276 () (forall @t275 @t274)) % 35.15/35.34 (define @t277 () (or @t240 @t276 @t239 @t267)) % 35.15/35.34 (define @t278 () (or @t276 @t240 @t239 @t267)) % 35.15/35.34 (define @t279 () (not (= @t262 @t262))) % 35.15/35.34 (define @t280 () (not (= @t262 tptp.nil))) % 35.15/35.34 (define @t281 () (and @t280 @t234)) % 35.15/35.34 (define @t282 () (or @t264 @t281 @t261 @t279 @t260)) % 35.15/35.34 (define @t283 () (not (= @t1 @t262))) % 35.15/35.34 (define @t284 () (not (= @t1 tptp.nil))) % 35.15/35.34 (define @t285 () (and @t284 @t234)) % 35.15/35.34 (define @t286 () (not @t24)) % 35.15/35.34 (define @t287 () (or @t283 @t286 @t285 @t261 @t283 @t260)) % 35.15/35.34 (define @t288 () (or @t286 @t285 @t261 @t283 @t260)) % 35.15/35.34 (define @t289 () (forall @t7 @t288)) % 35.15/35.34 (define @t290 () (forall @t266 @t289)) % 35.15/35.34 (define @t291 () (forall (@list @t253 @t1) @t288)) % 35.15/35.34 (define @t292 () (@list @t1 @t253)) % 35.15/35.34 (define @t293 () (or @t261 @t283 @t260)) % 35.15/35.34 (define @t294 () (or @t286 @t285 @t293)) % 35.15/35.34 (define @t295 () (forall @t292 @t294)) % 35.15/35.34 (define @t296 () (forall @t266 @t294)) % 35.15/35.34 (define @t297 () (forall @t266 @t293)) % 35.15/35.34 (define @t298 () (@var "BOUND_VARIABLE_11212" $$unsorted)) % 35.15/35.34 (define @t299 () (@list @t298)) % 35.15/35.34 (define @t300 () (or @t286 @t285 @t297)) % 35.15/35.34 (define @t301 () (not (= @t191 @t298))) % 35.15/35.34 (define @t302 () (not (forall @t206 (or @t205 @t204 @t203 @t202 @t232 @t193 @t301)))) % 35.15/35.34 (define @t303 () (not (= @t1 (tptp.app @t2 @t298)))) % 35.15/35.34 (define @t304 () (not (tptp.ssList @t298))) % 35.15/35.34 (define @t305 () (or @t304 @t303 @t302)) % 35.15/35.34 (define @t306 () (@list @t298)) % 35.15/35.34 (define @t307 () (forall @t306 @t305)) % 35.15/35.34 (define @t308 () (or @t286 @t285 @t307)) % 35.15/35.34 (define @t309 () (forall @t7 @t308)) % 35.15/35.34 (define @t310 () (or @t276 @t240 @t239 @t309)) % 35.15/35.34 (define @t311 () (or @t276 @t240 @t239 @t308)) % 35.15/35.34 (define @t312 () (or @t286 @t276 @t240 @t239 @t285 @t307)) % 35.15/35.34 (define @t313 () (or @t276 @t286 @t240 @t239 @t285 @t307)) % 35.15/35.34 (define @t314 () (or @t240 @t239 @t285 @t307)) % 35.15/35.34 (define @t315 () (or @t240 @t239 @t285 @t305)) % 35.15/35.34 (define @t316 () (or @t240 @t239 @t285 @t304 @t303 @t302)) % 35.15/35.34 (define @t317 () (not (= @t2 @t2))) % 35.15/35.34 (define @t318 () (or @t240 @t317 @t239 @t285 @t304 @t303 @t302)) % 35.15/35.34 (define @t319 () (not (= @t15 @t201))) % 35.15/35.34 (define @t320 () (not (forall @t206 (or @t205 @t204 @t203 @t202 @t319 @t193 @t301)))) % 35.15/35.34 (define @t321 () (not (= @t1 (tptp.app @t15 @t298)))) % 35.15/35.34 (define @t322 () (= @t15 tptp.nil)) % 35.15/35.34 (define @t323 () (and @t284 @t322)) % 35.15/35.34 (define @t324 () (not @t18)) % 35.15/35.34 (define @t325 () (or @t163 @t324 @t163 @t157 @t323 @t304 @t321 @t320)) % 35.15/35.34 (define @t326 () (or @t324 @t163 @t157 @t323 @t304 @t321 @t320)) % 35.15/35.34 (define @t327 () (forall @t19 @t326)) % 35.15/35.34 (define @t328 () (forall @t306 @t327)) % 35.15/35.34 (define @t329 () (forall (@list @t298 @t15) @t326)) % 35.15/35.34 (define @t330 () (@list @t15 @t298)) % 35.15/35.34 (define @t331 () (or @t304 @t321 @t320)) % 35.15/35.34 (define @t332 () (or @t324 @t163 @t157 @t323 @t331)) % 35.15/35.34 (define @t333 () (forall @t330 @t332)) % 35.15/35.34 (define @t334 () (forall @t306 @t332)) % 35.15/35.34 (define @t335 () (forall @t306 @t331)) % 35.15/35.34 (define @t336 () (@var "BOUND_VARIABLE_11167" $$unsorted)) % 35.15/35.34 (define @t337 () (@list @t336)) % 35.15/35.34 (define @t338 () (or @t324 @t163 @t157 @t323 @t335)) % 35.15/35.34 (define @t339 () (not (forall @t206 (or @t205 @t204 @t203 @t202 @t319 @t193 (not (= @t191 @t336)))))) % 35.15/35.34 (define @t340 () (tptp.app @t15 @t336)) % 35.15/35.34 (define @t341 () (not (= @t1 @t340))) % 35.15/35.34 (define @t342 () (not (tptp.ssList @t336))) % 35.15/35.34 (define @t343 () (or @t342 @t341 @t339)) % 35.15/35.34 (define @t344 () (@list @t336)) % 35.15/35.34 (define @t345 () (forall @t344 @t343)) % 35.15/35.34 (define @t346 () (or @t324 @t163 @t157 @t323 @t345)) % 35.15/35.34 (define @t347 () (forall @t19 @t346)) % 35.15/35.34 (define @t348 () (or @t276 @t286 @t347)) % 35.15/35.34 (define @t349 () (or @t276 @t286 @t346)) % 35.15/35.34 (define @t350 () (or @t324 @t163 @t276 @t157 @t286 @t323 @t345)) % 35.15/35.34 (define @t351 () (or @t163 @t276 @t157 @t286 @t323 @t345)) % 35.15/35.34 (define @t352 () (or @t286 @t323 @t345)) % 35.15/35.34 (define @t353 () (or @t286 @t323 @t343)) % 35.15/35.34 (define @t354 () (or @t286 @t323 @t342 @t341 @t339)) % 35.15/35.34 (define @t355 () (not (= @t1 @t1))) % 35.15/35.34 (define @t356 () (or @t286 @t355 @t323 @t342 @t341 @t339)) % 35.15/35.34 (define @t357 () (not (= @t13 @t340))) % 35.15/35.34 (define @t358 () (and (not (= @t13 tptp.nil)) @t322)) % 35.15/35.34 (define @t359 () (not @t16)) % 35.15/35.34 (define @t360 () (or @t164 @t359 @t164 @t358 @t342 @t357 @t339)) % 35.15/35.34 (define @t361 () (or @t359 @t164 @t358 @t342 @t357 @t339)) % 35.15/35.34 (define @t362 () (forall @t17 @t361)) % 35.15/35.34 (define @t363 () (forall @t344 @t362)) % 35.15/35.34 (define @t364 () (forall (@list @t336 @t13) @t361)) % 35.15/35.34 (define @t365 () (@list @t13 @t336)) % 35.15/35.34 (define @t366 () (not (= @t336 @t191))) % 35.15/35.34 (define @t367 () (or @t205 @t204 @t203 @t202 @t319 @t193 @t366)) % 35.15/35.34 (define @t368 () (forall @t206 @t367)) % 35.15/35.34 (define @t369 () (not @t368)) % 35.15/35.34 (define @t370 () (or @t359 @t164 @t358 @t342 @t357 @t369)) % 35.15/35.34 (define @t371 () (or @t342 @t357 @t369)) % 35.15/35.34 (define @t372 () (or @t359 @t164 @t358 @t371)) % 35.15/35.34 (define @t373 () (forall @t365 @t372)) % 35.15/35.34 (define @t374 () (forall @t344 @t372)) % 35.15/35.34 (define @t375 () (forall @t344 @t371)) % 35.15/35.34 (define @t376 () (or @t359 @t164 @t358 @t375)) % 35.15/35.34 (define @t377 () (not (= @t31 @t191))) % 35.15/35.34 (define @t378 () (or @t205 @t204 @t203 @t202 @t319 @t193 @t377)) % 35.15/35.34 (define @t379 () (not (forall @t206 @t378))) % 35.15/35.34 (define @t380 () (not (= @t13 @t158))) % 35.15/35.34 (define @t381 () (not @t37)) % 35.15/35.34 (define @t382 () (or @t381 @t380 @t379)) % 35.15/35.34 (define @t383 () (forall @t38 @t382)) % 35.15/35.34 (define @t384 () (or @t359 @t164 @t358 @t383)) % 35.15/35.34 (define @t385 () (forall @t17 @t384)) % 35.15/35.34 (define @t386 () (or @t163 @t276 @t157 @t385)) % 35.15/35.34 (define @t387 () (or @t163 @t276 @t157 @t384)) % 35.15/35.34 (define @t388 () (or @t359 @t164 @t163 @t276 @t358 @t157 @t383)) % 35.15/35.34 (define @t389 () (or @t164 @t163 @t276 @t358 @t157 @t383)) % 35.15/35.34 (define @t390 () (or @t157 @t383)) % 35.15/35.34 (define @t391 () (or @t272 @t271 @t270 @t269 @t268)) % 35.15/35.34 (define @t392 () (or @t273 @t391)) % 35.15/35.34 (define @t393 () (forall @t275 @t392)) % 35.15/35.34 (define @t394 () (@list @t258 @t257 @t256)) % 35.15/35.34 (define @t395 () (forall @t394 @t392)) % 35.15/35.34 (define @t396 () (forall @t394 @t391)) % 35.15/35.34 (define @t397 () (@var "BOUND_VARIABLE_11107" $$unsorted)) % 35.15/35.34 (define @t398 () (@var "BOUND_VARIABLE_11105" $$unsorted)) % 35.15/35.34 (define @t399 () (or @t273 @t396)) % 35.15/35.34 (define @t400 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t398 @t112) @t111) @t397)))) % 35.15/35.34 (define @t401 () (not (tptp.ssList @t397))) % 35.15/35.34 (define @t402 () (not (tptp.ssList @t398))) % 35.15/35.34 (define @t403 () (not @t126)) % 35.15/35.34 (define @t404 () (or @t403 @t109 @t402 @t401 @t400)) % 35.15/35.34 (define @t405 () (@list @t107 @t398 @t397)) % 35.15/35.34 (define @t406 () (forall @t405 @t404)) % 35.15/35.34 (define @t407 () (or @t402 @t401 @t400)) % 35.15/35.34 (define @t408 () (or @t403 @t407 @t109)) % 35.15/35.34 (define @t409 () (forall @t405 @t408)) % 35.15/35.34 (define @t410 () (@list @t398 @t397)) % 35.15/35.34 (define @t411 () (forall @t410 @t408)) % 35.15/35.34 (define @t412 () (forall @t410 @t407)) % 35.15/35.34 (define @t413 () (@var "BOUND_VARIABLE_11086" $$unsorted)) % 35.15/35.34 (define @t414 () (or @t403 @t412 @t109)) % 35.15/35.34 (define @t415 () (not (= @t2 (tptp.app @t114 @t413)))) % 35.15/35.34 (define @t416 () (not (tptp.ssList @t413))) % 35.15/35.34 (define @t417 () (not @t121)) % 35.15/35.34 (define @t418 () (or @t417 @t416 @t415)) % 35.15/35.34 (define @t419 () (@list @t113 @t413)) % 35.15/35.34 (define @t420 () (forall @t419 @t418)) % 35.15/35.34 (define @t421 () (or @t403 @t420 @t109)) % 35.15/35.34 (define @t422 () (or @t420 @t109)) % 35.15/35.34 (define @t423 () (or @t416 @t415)) % 35.15/35.34 (define @t424 () (or @t417 @t423)) % 35.15/35.34 (define @t425 () (forall @t419 @t424)) % 35.15/35.34 (define @t426 () (@list @t413)) % 35.15/35.34 (define @t427 () (forall @t426 @t424)) % 35.15/35.34 (define @t428 () (forall @t426 @t423)) % 35.15/35.34 (define @t429 () (or @t417 @t428)) % 35.15/35.34 (define @t430 () (not (= @t2 @t115))) % 35.15/35.34 (define @t431 () (forall @t119 (or (not @t117) @t430))) % 35.15/35.34 (define @t432 () (or @t157 @t382)) % 35.15/35.34 (define @t433 () (or @t381 @t380 @t157 @t379)) % 35.15/35.34 (define @t434 () (or @t380 @t157 @t379)) % 35.15/35.34 (define @t435 () (or @t193 @t377)) % 35.15/35.34 (define @t436 () (or @t204 @t203 @t202 @t319)) % 35.15/35.34 (define @t437 () (or @t205 @t436 @t435)) % 35.15/35.34 (define @t438 () (forall @t206 @t437)) % 35.15/35.34 (define @t439 () (forall (@list @t199 @t200 @t190) @t437)) % 35.15/35.34 (define @t440 () (forall (@list @t190) @t435)) % 35.15/35.34 (define @t441 () (forall (@list @t199 @t200) @t436)) % 35.15/35.34 (define @t442 () (@var "BOUND_VARIABLE_11002" $$unsorted)) % 35.15/35.34 (define @t443 () (or @t205 @t441 @t440)) % 35.15/35.34 (define @t444 () (= @t31 @t149)) % 35.15/35.34 (define @t445 () (not @t444)) % 35.15/35.34 (define @t446 () (not @t150)) % 35.15/35.34 (define @t447 () (or @t446 @t445)) % 35.15/35.34 (define @t448 () (forall @t152 @t447)) % 35.15/35.34 (define @t449 () (not (= @t15 (tptp.app @t442 @t136)))) % 35.15/35.34 (define @t450 () (not (tptp.ssList @t442))) % 35.15/35.34 (define @t451 () (not @t135)) % 35.15/35.34 (define @t452 () (not @t143)) % 35.15/35.34 (define @t453 () (or @t452 @t451 @t450 @t449)) % 35.15/35.34 (define @t454 () (@list @t134 @t442)) % 35.15/35.34 (define @t455 () (forall @t454 @t453)) % 35.15/35.34 (define @t456 () (or @t205 @t455 @t448)) % 35.15/35.34 (define @t457 () (or @t455 @t448)) % 35.15/35.34 (define @t458 () (not @t457)) % 35.15/35.34 (define @t459 () (and @t154 @t458)) % 35.15/35.34 (define @t460 () (forall @t36 (not @t459))) % 35.15/35.34 (define @t461 () (not @t460)) % 35.15/35.34 (define @t462 () (or @t455 @t447)) % 35.15/35.34 (define @t463 () (or @t446 @t445 @t455)) % 35.15/35.34 (define @t464 () (not @t455)) % 35.15/35.34 (define @t465 () (not @t464)) % 35.15/35.34 (define @t466 () (or @t446 @t445 @t465)) % 35.15/35.34 (define @t467 () (and @t150 @t444 @t464)) % 35.15/35.34 (define @t468 () (forall @t152 (not @t467))) % 35.15/35.34 (define @t469 () (not @t468)) % 35.15/35.34 (define @t470 () (or @t450 @t449)) % 35.15/35.34 (define @t471 () (or @t452 @t451 @t470)) % 35.15/35.34 (define @t472 () (forall @t454 @t471)) % 35.15/35.34 (define @t473 () (@list @t442)) % 35.15/35.34 (define @t474 () (forall @t473 @t471)) % 35.15/35.34 (define @t475 () (forall @t473 @t470)) % 35.15/35.34 (define @t476 () (or @t452 @t451 @t475)) % 35.15/35.34 (define @t477 () (= @t15 @t138)) % 35.15/35.34 (define @t478 () (not @t477)) % 35.15/35.34 (define @t479 () (not @t139)) % 35.15/35.34 (define @t480 () (or @t479 @t478)) % 35.15/35.34 (define @t481 () (forall @t141 @t480)) % 35.15/35.34 (define @t482 () (or @t452 @t451 @t481)) % 35.15/35.34 (define @t483 () (or @t451 @t481)) % 35.15/35.34 (define @t484 () (not @t483)) % 35.15/35.34 (define @t485 () (and @t143 @t484)) % 35.15/35.34 (define @t486 () (forall @t145 (not @t485))) % 35.15/35.34 (define @t487 () (not @t486)) % 35.15/35.34 (define @t488 () (or @t451 @t480)) % 35.15/35.34 (define @t489 () (or @t479 @t478 @t451)) % 35.15/35.34 (define @t490 () (and @t139 @t477 @t135)) % 35.15/35.34 (define @t491 () (forall @t141 (not @t490))) % 35.15/35.34 (define @t492 () (not @t491)) % 35.15/35.34 (define @t493 () (tptp.ssItem @t223)) % 35.15/35.34 (define @t494 () (@quantifiers_skolemize @t222 4)) % 35.15/35.34 (define @t495 () (@quantifiers_skolemize @t222 3)) % 35.15/35.34 (define @t496 () (tptp.cons @t223 tptp.nil)) % 35.15/35.34 (define @t497 () (tptp.cons @t224 tptp.nil)) % 35.15/35.34 (define @t498 () (@quantifiers_skolemize @t222 2)) % 35.15/35.34 (define @t499 () (tptp.app @t498 @t497)) % 35.15/35.34 (define @t500 () (tptp.app (tptp.app @t499 @t496) @t495)) % 35.15/35.34 (define @t501 () (tptp.app @t500 @t494)) % 35.15/35.34 (define @t502 () (tptp.ssList @t495)) % 35.15/35.34 (define @t503 () (not @t502)) % 35.15/35.34 (define @t504 () (tptp.ssList @t498)) % 35.15/35.34 (define @t505 () (not @t504)) % 35.15/35.34 (define @t506 () (tptp.neq @t224 @t223)) % 35.15/35.34 (define @t507 () (not @t493)) % 35.15/35.34 (define @t508 () (tptp.ssItem @t224)) % 35.15/35.34 (define @t509 () (not @t508)) % 35.15/35.34 (define @t510 () (tptp.strictorderedP @t500)) % 35.15/35.34 (define @t511 () (not @t510)) % 35.15/35.34 (define @t512 () (tptp.ssList @t500)) % 35.15/35.34 (define @t513 () (not @t512)) % 35.15/35.34 (define @t514 () (or @t513 @t511 @t509 @t507 @t506 @t505 @t503 (not (tptp.ssList @t501)) (and (not (= tptp.nil @t501)) (= tptp.nil @t500)) (not (tptp.ssList @t494)) (not (forall @t206 (or @t205 @t204 @t203 @t202 (not (= @t201 @t500)) @t193 (not (= @t191 @t494))))))) % 35.15/35.34 (define @t515 () (@list true)) % 35.15/35.34 (define @t516 () (@list @t514)) % 35.15/35.34 (define @t517 () (= @t224 @t223)) % 35.15/35.34 (define @t518 () (not @t517)) % 35.15/35.34 (define @t519 () (= @t506 @t518)) % 35.15/35.34 (define @t520 () (or @t509 @t507 @t519)) % 35.15/35.34 (define @t521 () (@list false false false)) % 35.15/35.34 (define @t522 () (not @t519)) % 35.15/35.34 (define @t523 () (@var "BOUND_VARIABLE_10577" $$unsorted)) % 35.15/35.34 (define @t524 () (= (tptp.cons @t523 @t2) (tptp.app (tptp.cons @t523 tptp.nil) @t2))) % 35.15/35.34 (define @t525 () (not (tptp.ssItem @t523))) % 35.15/35.34 (define @t526 () (or @t525 @t524)) % 35.15/35.34 (define @t527 () (or @t240 @t526)) % 35.15/35.34 (define @t528 () (forall (@list @t2 @t523) @t527)) % 35.15/35.34 (define @t529 () (@list @t523)) % 35.15/35.34 (define @t530 () (forall @t529 @t527)) % 35.15/35.34 (define @t531 () (forall @t529 @t526)) % 35.15/35.34 (define @t532 () (or @t240 @t531)) % 35.15/35.34 (define @t533 () (forall @t7 (or @t187 @t95))) % 35.15/35.34 (define @t534 () (tptp.cons @t224 @t495)) % 35.15/35.34 (define @t535 () (= @t534 (tptp.app @t497 @t495))) % 35.15/35.34 (define @t536 () (or @t503 @t509 @t535)) % 35.15/35.34 (define @t537 () (@var "BOUND_VARIABLE_10618" $$unsorted)) % 35.15/35.34 (define @t538 () (@var "BOUND_VARIABLE_10616" $$unsorted)) % 35.15/35.34 (define @t539 () (= (tptp.app (tptp.app @t2 @t538) @t537) (tptp.app @t2 (tptp.app @t538 @t537)))) % 35.15/35.34 (define @t540 () (not (tptp.ssList @t537))) % 35.15/35.34 (define @t541 () (not (tptp.ssList @t538))) % 35.15/35.34 (define @t542 () (or @t541 @t540 @t539)) % 35.15/35.34 (define @t543 () (or @t240 @t542)) % 35.15/35.34 (define @t544 () (forall (@list @t2 @t538 @t537) @t543)) % 35.15/35.34 (define @t545 () (@list @t538 @t537)) % 35.15/35.34 (define @t546 () (forall @t545 @t543)) % 35.15/35.34 (define @t547 () (forall @t545 @t542)) % 35.15/35.34 (define @t548 () (@var "BOUND_VARIABLE_10598" $$unsorted)) % 35.15/35.34 (define @t549 () (or @t240 @t547)) % 35.15/35.34 (define @t550 () (= (tptp.app @t69 @t548) (tptp.app @t2 (tptp.app @t1 @t548)))) % 35.15/35.34 (define @t551 () (not (tptp.ssList @t548))) % 35.15/35.34 (define @t552 () (or @t286 @t551 @t550)) % 35.15/35.34 (define @t553 () (@list @t1 @t548)) % 35.15/35.34 (define @t554 () (forall @t553 @t552)) % 35.15/35.34 (define @t555 () (or @t551 @t550)) % 35.15/35.34 (define @t556 () (or @t286 @t555)) % 35.15/35.34 (define @t557 () (forall @t553 @t556)) % 35.15/35.34 (define @t558 () (@list @t548)) % 35.15/35.34 (define @t559 () (forall @t558 @t556)) % 35.15/35.34 (define @t560 () (forall @t558 @t555)) % 35.15/35.34 (define @t561 () (or @t286 @t560)) % 35.15/35.34 (define @t562 () (forall @t19 (or @t324 @t99))) % 35.15/35.34 (define @t563 () (@var "BOUND_VARIABLE_9174" $$unsorted)) % 35.15/35.34 (define @t564 () (tptp.ssList (tptp.cons @t563 @t2))) % 35.15/35.34 (define @t565 () (not (tptp.ssItem @t563))) % 35.15/35.34 (define @t566 () (or @t565 @t564)) % 35.15/35.34 (define @t567 () (or @t240 @t566)) % 35.15/35.34 (define @t568 () (forall (@list @t2 @t563) @t567)) % 35.15/35.34 (define @t569 () (@list @t563)) % 35.15/35.34 (define @t570 () (forall @t569 @t567)) % 35.15/35.34 (define @t571 () (forall @t569 @t566)) % 35.15/35.34 (define @t572 () (or @t240 @t571)) % 35.15/35.34 (define @t573 () (forall @t7 (or @t187 @t58))) % 35.15/35.34 (define @t574 () (tptp.ssList @t496)) % 35.15/35.34 (define @t575 () (not @t62)) % 35.15/35.34 (define @t576 () (or @t575 @t507 @t574)) % 35.15/35.34 (define @t577 () (@var "BOUND_VARIABLE_9418" $$unsorted)) % 35.15/35.34 (define @t578 () (tptp.ssList (tptp.app @t2 @t577))) % 35.15/35.34 (define @t579 () (not (tptp.ssList @t577))) % 35.15/35.34 (define @t580 () (or @t579 @t578)) % 35.15/35.34 (define @t581 () (or @t240 @t580)) % 35.15/35.34 (define @t582 () (forall (@list @t2 @t577) @t581)) % 35.15/35.34 (define @t583 () (@list @t577)) % 35.15/35.34 (define @t584 () (forall @t583 @t581)) % 35.15/35.34 (define @t585 () (forall @t583 @t580)) % 35.15/35.34 (define @t586 () (or @t240 @t585)) % 35.15/35.34 (define @t587 () (forall @t7 (or @t286 @t70))) % 35.15/35.34 (define @t588 () (tptp.ssList @t497)) % 35.15/35.34 (define @t589 () (tptp.ssList @t499)) % 35.15/35.34 (define @t590 () (not @t588)) % 35.15/35.34 (define @t591 () (or @t505 @t590 @t589)) % 35.15/35.34 (define @t592 () (tptp.app @t496 @t495)) % 35.15/35.34 (define @t593 () (tptp.app @t499 @t592)) % 35.15/35.34 (define @t594 () (= @t500 @t593)) % 35.15/35.34 (define @t595 () (not @t574)) % 35.15/35.34 (define @t596 () (not @t589)) % 35.15/35.34 (define @t597 () (or @t596 @t595 @t503 @t594)) % 35.15/35.34 (define @t598 () (@list false false false false)) % 35.15/35.34 (define @t599 () (@list @t502 @t589 @t574 @t597)) % 35.15/35.34 (define @t600 () (@var "BOUND_VARIABLE_8932" $$unsorted)) % 35.15/35.34 (define @t601 () (@var "BOUND_VARIABLE_8926" $$unsorted)) % 35.15/35.34 (define @t602 () (@var "BOUND_VARIABLE_8930" $$unsorted)) % 35.15/35.34 (define @t603 () (@var "BOUND_VARIABLE_8928" $$unsorted)) % 35.15/35.34 (define @t604 () (tptp.app (tptp.app @t603 (tptp.cons @t1 @t602)) (tptp.cons @t601 @t600))) % 35.15/35.34 (define @t605 () (not (= @t2 @t604))) % 35.15/35.34 (define @t606 () (not (tptp.ssList @t600))) % 35.15/35.34 (define @t607 () (not (tptp.ssList @t602))) % 35.15/35.34 (define @t608 () (not (tptp.ssList @t603))) % 35.15/35.34 (define @t609 () (tptp.lt @t1 @t601)) % 35.15/35.34 (define @t610 () (not (tptp.ssItem @t601))) % 35.15/35.34 (define @t611 () (or @t187 @t610 @t609 @t608 @t607 @t606 @t605)) % 35.15/35.34 (define @t612 () (@list @t1 @t601 @t603 @t602 @t600)) % 35.15/35.34 (define @t613 () (= @t52 (forall @t612 @t611))) % 35.15/35.34 (define @t614 () (or @t610 @t609 @t608 @t607 @t606 @t605)) % 35.15/35.34 (define @t615 () (or @t187 @t614)) % 35.15/35.34 (define @t616 () (forall @t612 @t615)) % 35.15/35.34 (define @t617 () (@list @t601 @t603 @t602 @t600)) % 35.15/35.34 (define @t618 () (forall @t617 @t615)) % 35.15/35.34 (define @t619 () (forall @t617 @t614)) % 35.15/35.34 (define @t620 () (@var "BOUND_VARIABLE_8902" $$unsorted)) % 35.15/35.34 (define @t621 () (@var "BOUND_VARIABLE_8900" $$unsorted)) % 35.15/35.34 (define @t622 () (@var "BOUND_VARIABLE_8898" $$unsorted)) % 35.15/35.34 (define @t623 () (or @t187 @t619)) % 35.15/35.34 (define @t624 () (not (= @t2 (tptp.app (tptp.app @t622 (tptp.cons @t1 @t621)) (tptp.cons @t15 @t620))))) % 35.15/35.34 (define @t625 () (not (tptp.ssList @t620))) % 35.15/35.34 (define @t626 () (not (tptp.ssList @t621))) % 35.15/35.34 (define @t627 () (not (tptp.ssList @t622))) % 35.15/35.34 (define @t628 () (not @t39)) % 35.15/35.34 (define @t629 () (or @t628 @t40 @t627 @t626 @t625 @t624)) % 35.15/35.34 (define @t630 () (@list @t15 @t622 @t621 @t620)) % 35.15/35.34 (define @t631 () (forall @t630 @t629)) % 35.15/35.34 (define @t632 () (or @t627 @t626 @t625 @t624)) % 35.15/35.34 (define @t633 () (or @t628 @t40 @t632)) % 35.15/35.34 (define @t634 () (forall @t630 @t633)) % 35.15/35.34 (define @t635 () (@list @t622 @t621 @t620)) % 35.15/35.34 (define @t636 () (forall @t635 @t633)) % 35.15/35.34 (define @t637 () (forall @t635 @t632)) % 35.15/35.34 (define @t638 () (@var "BOUND_VARIABLE_8525" $$unsorted)) % 35.15/35.34 (define @t639 () (@var "BOUND_VARIABLE_8523" $$unsorted)) % 35.15/35.34 (define @t640 () (or @t628 @t40 @t637)) % 35.15/35.34 (define @t641 () (not (= @t2 (tptp.app (tptp.app @t13 (tptp.cons @t1 @t639)) (tptp.cons @t15 @t638))))) % 35.15/35.34 (define @t642 () (not (tptp.ssList @t638))) % 35.15/35.34 (define @t643 () (not (tptp.ssList @t639))) % 35.15/35.34 (define @t644 () (or @t359 @t643 @t642 @t641)) % 35.15/35.34 (define @t645 () (@list @t13 @t639 @t638)) % 35.15/35.34 (define @t646 () (forall @t645 @t644)) % 35.15/35.34 (define @t647 () (or @t628 @t40 @t646)) % 35.15/35.34 (define @t648 () (or @t40 @t646)) % 35.15/35.34 (define @t649 () (or @t643 @t642 @t641)) % 35.15/35.34 (define @t650 () (or @t359 @t649)) % 35.15/35.34 (define @t651 () (forall @t645 @t650)) % 35.15/35.34 (define @t652 () (@list @t639 @t638)) % 35.15/35.34 (define @t653 () (forall @t652 @t650)) % 35.15/35.34 (define @t654 () (forall @t652 @t649)) % 35.15/35.34 (define @t655 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 35.15/35.34 (define @t656 () (or @t359 @t654)) % 35.15/35.34 (define @t657 () (not (= @t2 (tptp.app @t32 (tptp.cons @t15 @t655))))) % 35.15/35.34 (define @t658 () (not (tptp.ssList @t655))) % 35.15/35.34 (define @t659 () (or @t381 @t658 @t657)) % 35.15/35.34 (define @t660 () (@list @t31 @t655)) % 35.15/35.34 (define @t661 () (forall @t660 @t659)) % 35.15/35.34 (define @t662 () (or @t359 @t661)) % 35.15/35.34 (define @t663 () (forall @t17 @t662)) % 35.15/35.34 (define @t664 () (or @t40 @t663)) % 35.15/35.34 (define @t665 () (or @t40 @t662)) % 35.15/35.34 (define @t666 () (or @t359 @t40 @t661)) % 35.15/35.34 (define @t667 () (or @t40 @t661)) % 35.15/35.34 (define @t668 () (or @t658 @t657)) % 35.15/35.34 (define @t669 () (or @t381 @t668)) % 35.15/35.34 (define @t670 () (forall @t660 @t669)) % 35.15/35.34 (define @t671 () (@list @t655)) % 35.15/35.34 (define @t672 () (forall @t671 @t669)) % 35.15/35.34 (define @t673 () (forall @t671 @t668)) % 35.15/35.34 (define @t674 () (or @t381 @t673)) % 35.15/35.34 (define @t675 () (= @t2 @t33)) % 35.15/35.34 (define @t676 () (not @t675)) % 35.15/35.34 (define @t677 () (not @t35)) % 35.15/35.34 (define @t678 () (or @t677 @t676)) % 35.15/35.34 (define @t679 () (forall @t36 @t678)) % 35.15/35.34 (define @t680 () (or @t381 @t679)) % 35.15/35.34 (define @t681 () (forall @t38 @t680)) % 35.15/35.34 (define @t682 () (or @t40 @t681)) % 35.15/35.34 (define @t683 () (or @t40 @t680)) % 35.15/35.34 (define @t684 () (or @t381 @t40 @t679)) % 35.15/35.34 (define @t685 () (or @t40 @t679)) % 35.15/35.34 (define @t686 () (or @t40 @t678)) % 35.15/35.34 (define @t687 () (or @t677 @t676 @t40)) % 35.15/35.34 (define @t688 () (=> @t675 @t40)) % 35.15/35.34 (define @t689 () (not (= @t500 @t604))) % 35.15/35.34 (define @t690 () (or @t187 @t610 @t609 @t608 @t607 @t606 @t689)) % 35.15/35.34 (define @t691 () (forall @t612 @t690)) % 35.15/35.34 (define @t692 () (= @t510 @t691)) % 35.15/35.34 (define @t693 () (or @t513 @t692)) % 35.15/35.34 (define @t694 () (forall @t11 (or @t240 @t613))) % 35.15/35.34 (define @t695 () (forall @t612 (or @t187 @t610 @t609 @t608 @t607 @t606 (not (= @t604 @t500))))) % 35.15/35.34 (define @t696 () (= @t510 @t695)) % 35.15/35.34 (define @t697 () (or @t513 @t696)) % 35.15/35.34 (define @t698 () (@list false)) % 35.15/35.34 (define @t699 () (@list false false)) % 35.15/35.34 (define @t700 () (tptp.app @t499 @t534)) % 35.15/35.34 (define @t701 () (not (= @t700 @t500))) % 35.15/35.34 (define @t702 () (tptp.lt @t224 @t224)) % 35.15/35.34 (define @t703 () (or @t509 @t509 @t702 @t505 @t575 @t503 @t701)) % 35.15/35.34 (define @t704 () (= @t500 @t700)) % 35.15/35.34 (define @t705 () (not @t704)) % 35.15/35.34 (define @t706 () (or @t509 @t509 @t702 @t505 @t575 @t503 @t705)) % 35.15/35.34 (define @t707 () (@var "BOUND_VARIABLE_9591" $$unsorted)) % 35.15/35.34 (define @t708 () (not (tptp.lt @t707 @t2))) % 35.15/35.34 (define @t709 () (not (tptp.lt @t2 @t707))) % 35.15/35.34 (define @t710 () (not (tptp.ssItem @t707))) % 35.15/35.34 (define @t711 () (or @t710 @t709 @t708)) % 35.15/35.34 (define @t712 () (or @t178 @t711)) % 35.15/35.34 (define @t713 () (forall (@list @t2 @t707) @t712)) % 35.15/35.34 (define @t714 () (@list @t707)) % 35.15/35.34 (define @t715 () (forall @t714 @t712)) % 35.15/35.34 (define @t716 () (forall @t714 @t711)) % 35.15/35.34 (define @t717 () (or @t178 @t716)) % 35.15/35.34 (define @t718 () (not @t80)) % 35.15/35.34 (define @t719 () (or @t187 @t718 @t79)) % 35.15/35.34 (define @t720 () (forall @t7 @t719)) % 35.15/35.34 (define @t721 () (not @t702)) % 35.15/35.34 (define @t722 () (or @t509 @t509 @t721 @t721)) % 35.15/35.34 (define @t723 () (not @t594)) % 35.15/35.34 (define @t724 () (not @t535)) % 35.15/35.34 (define @t725 () (and @t705 @t704)) % 35.15/35.34 (assume @p1 @t12) % 35.15/35.34 (assume @p2 (exists @t11 (and @t9 (exists @t7 (and @t6 @t4))))) % 35.15/35.34 (assume @p3 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t15 @t14) @t2))))))))))) % 35.15/35.34 (assume @p4 (forall @t11 (=> @t20 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t21 @t2))))))) % 35.15/35.34 (assume @p5 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t23 (exists @t19 (and @t18 (= @t22 @t2))))))))) % 35.15/35.34 (assume @p6 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t26 (exists @t19 (and @t18 (= @t25 @t2))))))))) % 35.15/35.34 (assume @p7 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t27 (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t25 @t13) @t2))))))))))) % 35.15/35.34 (assume @p8 (forall @t11 (=> @t20 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 (not (and @t29 @t28))))))))))))))))) % 35.15/35.34 (assume @p9 (forall @t11 (=> @t20 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 (or @t29 @t28)))))))))))))))) % 35.15/35.34 (assume @p10 (forall @t11 (=> @t20 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 (or @t40 (tptp.lt @t15 @t1))))))))))))))))) % 35.15/35.34 (assume @p11 (forall @t11 (=> @t20 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 @t29))))))))))))))) % 35.15/35.34 (assume @p12 @t55) % 35.15/35.34 (assume @p13 (forall @t11 (=> @t20 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 (not @t56)))))))))))))))) % 35.15/35.34 (assume @p14 (forall @t11 (=> @t20 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (=> (= (tptp.app @t13 (tptp.cons @t1 (tptp.cons @t15 @t31))) @t2) @t56))))))))))))) % 35.15/35.34 (assume @p15 (forall @t11 (=> @t20 (forall @t7 (=> @t24 @t5))))) % 35.15/35.34 (assume @p16 @t61) % 35.15/35.34 (assume @p17 @t62) % 35.15/35.34 (assume @p18 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= @t57 @t2))))))) % 35.15/35.34 (assume @p19 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t39 (forall @t17 (=> (tptp.ssItem @t13) (=> (= (tptp.cons @t15 @t2) (tptp.cons @t13 @t1)) (and (= @t15 @t13) @t63))))))))))) % 35.15/35.34 (assume @p20 (forall @t11 (=> @t20 (or @t65 (exists @t7 (and @t24 (exists @t19 (and @t39 (= @t64 @t2))))))))) % 35.15/35.34 (assume @p21 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= tptp.nil @t57))))))) % 35.15/35.34 (assume @p22 (forall @t11 (=> @t20 (=> @t67 (tptp.ssItem @t66))))) % 35.15/35.34 (assume @p23 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.hd @t57) @t1)))))) % 35.15/35.34 (assume @p24 (forall @t11 (=> @t20 (=> @t67 (tptp.ssList @t68))))) % 35.15/35.34 (assume @p25 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.tl @t57) @t2)))))) % 35.15/35.34 (assume @p26 @t73) % 35.15/35.34 (assume @p27 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t39 (= (tptp.cons @t15 @t74) (tptp.app @t64 @t2))))))))) % 35.15/35.34 (assume @p28 (forall @t11 (=> @t20 (= (tptp.app tptp.nil @t2) @t2)))) % 35.15/35.34 (assume @p29 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t76 @t75) @t3)))))) % 35.15/35.34 (assume @p30 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t76 @t29) (tptp.leq @t2 @t15))))))))) % 35.15/35.34 (assume @p31 (forall @t11 (=> @t9 (tptp.leq @t2 @t2)))) % 35.15/35.34 (assume @p32 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t77 @t75)))))) % 35.15/35.34 (assume @p33 @t84) % 35.15/35.34 (assume @p34 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t80 @t40) @t85)))))))) % 35.15/35.34 (assume @p35 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t86 @t78)))))) % 35.15/35.34 (assume @p36 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (= (tptp.memberP @t22 @t2) (or (tptp.memberP @t1 @t2) @t87))))))))) % 35.15/35.34 (assume @p37 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t15) @t2) (or @t3 @t87))))))))) % 35.15/35.34 (assume @p38 (forall @t11 (=> @t9 (not (tptp.memberP tptp.nil @t2))))) % 35.15/35.34 (assume @p39 (not (tptp.singletonP tptp.nil))) % 35.15/35.34 (assume @p40 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t23 (tptp.frontsegP @t1 @t15)) (tptp.frontsegP @t2 @t15))))))))) % 35.15/35.34 (assume @p41 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t23 (tptp.frontsegP @t1 @t2)) @t3)))))) % 35.15/35.34 (assume @p42 (forall @t11 (=> @t20 (tptp.frontsegP @t2 @t2)))) % 35.15/35.34 (assume @p43 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> @t23 (tptp.frontsegP (tptp.app @t2 @t15) @t1))))))))) % 35.15/35.34 (assume @p44 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (= (tptp.frontsegP (tptp.cons @t2 @t15) @t14) (and @t3 (tptp.frontsegP @t15 @t13)))))))))))) % 35.15/35.34 (assume @p45 (forall @t11 (=> @t20 (tptp.frontsegP @t2 tptp.nil)))) % 35.15/35.34 (assume @p46 (forall @t11 (=> @t20 (= (tptp.frontsegP tptp.nil @t2) @t65)))) % 35.15/35.34 (assume @p47 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t26 (tptp.rearsegP @t1 @t15)) (tptp.rearsegP @t2 @t15))))))))) % 35.15/35.34 (assume @p48 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t26 (tptp.rearsegP @t1 @t2)) @t3)))))) % 35.15/35.34 (assume @p49 (forall @t11 (=> @t20 (tptp.rearsegP @t2 @t2)))) % 35.15/35.34 (assume @p50 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> @t26 (tptp.rearsegP @t88 @t1))))))))) % 35.15/35.34 (assume @p51 (forall @t11 (=> @t20 (tptp.rearsegP @t2 tptp.nil)))) % 35.15/35.34 (assume @p52 (forall @t11 (=> @t20 (= (tptp.rearsegP tptp.nil @t2) @t65)))) % 35.15/35.34 (assume @p53 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t27 (tptp.segmentP @t1 @t15)) (tptp.segmentP @t2 @t15))))))))) % 35.15/35.34 (assume @p54 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t27 (tptp.segmentP @t1 @t2)) @t3)))))) % 35.15/35.34 (assume @p55 (forall @t11 (=> @t20 (tptp.segmentP @t2 @t2)))) % 35.15/35.34 (assume @p56 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (=> @t27 (tptp.segmentP (tptp.app @t88 @t13) @t1))))))))))) % 35.15/35.34 (assume @p57 (forall @t11 (=> @t20 (tptp.segmentP @t2 tptp.nil)))) % 35.15/35.34 (assume @p58 (forall @t11 (=> @t20 (= (tptp.segmentP tptp.nil @t2) @t65)))) % 35.15/35.34 (assume @p59 (forall @t11 (=> @t9 (tptp.cyclefreeP @t89)))) % 35.15/35.34 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 35.15/35.34 (assume @p61 (forall @t11 (=> @t9 (tptp.totalorderP @t89)))) % 35.15/35.34 (assume @p62 (tptp.totalorderP tptp.nil)) % 35.15/35.34 (assume @p63 (forall @t11 (=> @t9 (tptp.strictorderP @t89)))) % 35.15/35.34 (assume @p64 (tptp.strictorderP tptp.nil)) % 35.15/35.34 (assume @p65 (forall @t11 (=> @t9 (tptp.totalorderedP @t89)))) % 35.15/35.34 (assume @p66 (tptp.totalorderedP tptp.nil)) % 35.15/35.34 (assume @p67 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t93) (or @t91 (and @t92 (tptp.totalorderedP @t1) (tptp.leq @t2 @t90))))))))) % 35.15/35.34 (assume @p68 (forall @t11 (=> @t9 (tptp.strictorderedP @t89)))) % 35.15/35.34 (assume @p69 (tptp.strictorderedP tptp.nil)) % 35.15/35.34 (assume @p70 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t93) (or @t91 (and @t92 (tptp.strictorderedP @t1) (tptp.lt @t2 @t90))))))))) % 35.15/35.34 (assume @p71 (forall @t11 (=> @t9 (tptp.duplicatefreeP @t89)))) % 35.15/35.34 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 35.15/35.34 (assume @p73 (forall @t11 (=> @t9 (tptp.equalelemsP @t89)))) % 35.15/35.34 (assume @p74 (tptp.equalelemsP tptp.nil)) % 35.15/35.34 (assume @p75 (forall @t11 (=> @t20 (=> @t67 (exists @t7 (and @t6 (= @t66 @t1))))))) % 35.15/35.34 (assume @p76 (forall @t11 (=> @t20 (=> @t67 (exists @t7 (and @t24 (= @t68 @t1))))))) % 35.15/35.34 (assume @p77 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t92 @t67 (= @t90 @t66) (= (tptp.tl @t1) @t68)) @t63)))))) % 35.15/35.34 (assume @p78 (forall @t11 (=> @t20 (=> @t67 (= (tptp.cons @t66 @t68) @t2))))) % 35.15/35.34 (assume @p79 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (= @t25 @t69) @t94)))))))) % 35.15/35.34 (assume @p80 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (= @t22 @t74) @t94)))))))) % 35.15/35.34 (assume @p81 @t98) % 35.15/35.34 (assume @p82 @t104) % 35.15/35.34 (assume @p83 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= (= tptp.nil @t69) (and @t91 @t65))))))) % 35.15/35.34 (assume @p84 (forall @t11 (=> @t20 (= (tptp.app @t2 tptp.nil) @t2)))) % 35.15/35.34 (assume @p85 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> @t67 (= (tptp.hd @t69) @t66))))))) % 35.15/35.34 (assume @p86 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> @t67 (= (tptp.tl @t69) (tptp.app @t68 @t1)))))))) % 35.15/35.34 (assume @p87 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t77 (tptp.geq @t1 @t2)) @t3)))))) % 35.15/35.34 (assume @p88 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t77 (tptp.geq @t1 @t15)) (tptp.geq @t2 @t15))))))))) % 35.15/35.34 (assume @p89 (forall @t11 (=> @t9 (tptp.geq @t2 @t2)))) % 35.15/35.34 (assume @p90 (forall @t11 (=> @t9 (not (tptp.lt @t2 @t2))))) % 35.15/35.34 (assume @p91 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t76 @t40) @t85)))))))) % 35.15/35.34 (assume @p92 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t76 (or @t3 @t80))))))) % 35.15/35.34 (assume @p93 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t80 (and @t4 @t76))))))) % 35.15/35.34 (assume @p94 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t86 (not (tptp.gt @t1 @t2)))))))) % 35.15/35.34 (assume @p95 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t86 (tptp.gt @t1 @t15)) (tptp.gt @t2 @t15))))))))) % 35.15/35.34 (assume @p96 @t174) % 35.15/35.34 (assume @p97 true) % 35.15/35.34 (step @p98 :rule aci_norm :args ((= @t180 (or @t178 @t177 @t176)))) % 35.15/35.34 (step @p99 :rule cong :premises (@p98) :args (@t181)) % 35.15/35.34 (step @p100 :rule quant-merge-prenex :args ((= (forall @t11 @t183) @t181))) % 35.15/35.34 (step @p101 :rule alpha_equiv :args (@t184 (@list @t175) @t185)) % 35.15/35.34 (step @p102 :rule refl :args (@t178)) % 35.15/35.34 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t186)) % 35.15/35.34 (step @p104 :rule quant-miniscope-or :args ((= @t183 @t186))) % 35.15/35.34 (step @p105 :rule trans :premises (@p104 @p103)) % 35.15/35.34 (step @p106 :rule symm :premises (@p105)) % 35.15/35.34 (step @p107 :rule cong :premises (@p106) :args ((forall @t11 (or @t178 @t188)))) % 35.15/35.34 (step @p108 :rule trans :premises (@p107 @p100)) % 35.15/35.34 (step @p109 :rule trans :premises (@p108 @p99)) % 35.15/35.34 (step @p110 :rule bool-impl-elim :args (@t9 @t188)) % 35.15/35.34 (step @p111 :rule cong :premises (@p110) :args ((forall @t11 (=> @t9 @t188)))) % 35.15/35.34 (step @p112 :rule trans :premises (@p111 @p109)) % 35.15/35.34 (step @p113 :rule bool-impl-elim :args (@t6 @t5)) % 35.15/35.34 (step @p114 :rule cong :premises (@p113) :args (@t8)) % 35.15/35.34 (step @p115 :rule refl :args (@t9)) % 35.15/35.34 (step @p116 :rule cong :premises (@p115 @p114) :args (@t10)) % 35.15/35.34 (step @p117 :rule cong :premises (@p116) :args (@t12)) % 35.15/35.34 (step @p118 :rule trans :premises (@p117 @p112)) % 35.15/35.34 (step @p119 :rule eq_resolve :premises (@p1 @p118)) % 35.15/35.34 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t224 @t223))) % 35.15/35.34 (step @p121 :rule aci_norm :args ((= (or @t219 @t218 @t217 @t216 @t215 @t214 @t213 false @t212 @t211 @t208 @t207) @t220))) % 35.15/35.34 (step @p122 :rule refl :args (@t192)) % 35.15/35.34 (step @p123 :rule refl :args (@t193)) % 35.15/35.34 (step @p124 :rule eq-symm :args (@t198 @t201)) % 35.15/35.34 (step @p125 :rule cong :premises (@p124) :args (@t225)) % 35.15/35.34 (step @p126 :rule refl :args (@t202)) % 35.15/35.34 (step @p127 :rule refl :args (@t203)) % 35.15/35.34 (step @p128 :rule refl :args (@t204)) % 35.15/35.34 (step @p129 :rule refl :args (@t205)) % 35.15/35.34 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126 @p125 @p123 @p122) :args (@t226)) % 35.15/35.34 (step @p131 :rule cong :premises (@p130) :args (@t227)) % 35.15/35.34 (step @p132 :rule cong :premises (@p131) :args (@t228)) % 35.15/35.34 (step @p133 :rule refl :args (@t208)) % 35.15/35.34 (step @p134 :rule eq-symm :args (@t198 tptp.nil)) % 35.15/35.34 (step @p135 :rule refl :args (@t210)) % 35.15/35.34 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t229)) % 35.15/35.34 (step @p137 :rule refl :args (@t212)) % 35.15/35.34 (step @p138 :rule evaluate :args ((not true))) % 35.15/35.34 (step @p139 :rule eq-refl :args (@t198)) % 35.15/35.34 (step @p140 :rule cong :premises (@p139) :args (@t230)) % 35.15/35.34 (step @p141 :rule trans :premises (@p140 @p138)) % 35.15/35.34 (step @p142 :rule refl :args (@t213)) % 35.15/35.34 (step @p143 :rule refl :args (@t214)) % 35.15/35.34 (step @p144 :rule refl :args (@t215)) % 35.15/35.34 (step @p145 :rule refl :args (@t216)) % 35.15/35.34 (step @p146 :rule refl :args (@t217)) % 35.15/35.34 (step @p147 :rule refl :args (@t218)) % 35.15/35.34 (step @p148 :rule refl :args (@t219)) % 35.15/35.34 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p137 @p136 @p133 @p132) :args (@t231)) % 35.15/35.34 (step @p150 :rule trans :premises (@p149 @p121)) % 35.15/35.34 (step @p151 :rule cong :premises (@p150) :args ((forall @t221 @t231))) % 35.15/35.34 (step @p152 :rule quant-var-elim-eq :args ((= (forall @t11 @t241) @t231))) % 35.15/35.34 (step @p153 :rule aci_norm :args ((= @t242 @t241))) % 35.15/35.34 (step @p154 :rule cong :premises (@p153) :args (@t243)) % 35.15/35.34 (step @p155 :rule trans :premises (@p154 @p152)) % 35.15/35.34 (step @p156 :rule cong :premises (@p155) :args (@t244)) % 35.15/35.34 (step @p157 :rule quant-merge-prenex :args ((= @t244 @t245))) % 35.15/35.34 (step @p158 :rule symm :premises (@p157)) % 35.15/35.34 (step @p159 :rule quant_var_reordering :args ((= (forall @t246 @t242) @t245))) % 35.15/35.34 (step @p160 :rule trans :premises (@p159 @p158 @p156)) % 35.15/35.34 (step @p161 :rule trans :premises (@p160 @p151)) % 35.15/35.34 (step @p162 :rule aci_norm :args ((= @t249 @t242))) % 35.15/35.34 (step @p163 :rule cong :premises (@p162) :args (@t250)) % 35.15/35.34 (step @p164 :rule trans :premises (@p163 @p161)) % 35.15/35.34 (step @p165 :rule quant-merge-prenex :args ((= (forall @t11 @t251) @t250))) % 35.15/35.34 (step @p166 :rule alpha_equiv :args (@t252 (@list @t189) @t254)) % 35.15/35.34 (step @p167 :rule refl :args (@t239)) % 35.15/35.34 (step @p168 :rule alpha_equiv :args (@t255 (@list @t196 @t195 @t197 @t194) (@list @t108 @t258 @t257 @t256))) % 35.15/35.34 (step @p169 :rule refl :args (@t240)) % 35.15/35.34 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167 @p166) :args (@t259)) % 35.15/35.34 (step @p171 :rule quant-miniscope-or :args ((= @t251 @t259))) % 35.15/35.34 (step @p172 :rule trans :premises (@p171 @p170)) % 35.15/35.34 (step @p173 :rule symm :premises (@p172)) % 35.15/35.34 (step @p174 :rule cong :premises (@p173) :args ((forall @t11 @t277))) % 35.15/35.34 (step @p175 :rule trans :premises (@p174 @p165)) % 35.15/35.34 (step @p176 :rule trans :premises (@p175 @p164)) % 35.15/35.34 (step @p177 :rule aci_norm :args ((= (or @t240 @t278) @t277))) % 35.15/35.34 (step @p178 :rule bool-impl-elim :args (@t20 @t278)) % 35.15/35.34 (step @p179 :rule trans :premises (@p178 @p177)) % 35.15/35.34 (step @p180 :rule cong :premises (@p179) :args ((forall @t11 (=> @t20 @t278)))) % 35.15/35.34 (step @p181 :rule trans :premises (@p180 @p176)) % 35.15/35.34 (step @p182 :rule aci_norm :args ((= (or @t264 @t263 @t261 false @t260) @t265))) % 35.15/35.34 (step @p183 :rule refl :args (@t260)) % 35.15/35.34 (step @p184 :rule eq-refl :args (@t262)) % 35.15/35.34 (step @p185 :rule cong :premises (@p184) :args (@t279)) % 35.15/35.34 (step @p186 :rule trans :premises (@p185 @p138)) % 35.15/35.34 (step @p187 :rule refl :args (@t261)) % 35.15/35.34 (step @p188 :rule refl :args (@t234)) % 35.15/35.34 (step @p189 :rule eq-symm :args (@t262 tptp.nil)) % 35.15/35.34 (step @p190 :rule cong :premises (@p189) :args (@t280)) % 35.15/35.34 (step @p191 :rule nary_cong :premises (@p190 @p188) :args (@t281)) % 35.15/35.34 (step @p192 :rule refl :args (@t264)) % 35.15/35.34 (step @p193 :rule nary_cong :premises (@p192 @p191 @p187 @p186 @p183) :args (@t282)) % 35.15/35.34 (step @p194 :rule trans :premises (@p193 @p182)) % 35.15/35.34 (step @p195 :rule cong :premises (@p194) :args ((forall @t266 @t282))) % 35.15/35.34 (step @p196 :rule quant-var-elim-eq :args ((= (forall @t7 @t287) @t282))) % 35.15/35.34 (step @p197 :rule aci_norm :args ((= @t288 @t287))) % 35.15/35.34 (step @p198 :rule cong :premises (@p197) :args (@t289)) % 35.15/35.34 (step @p199 :rule trans :premises (@p198 @p196)) % 35.15/35.34 (step @p200 :rule cong :premises (@p199) :args (@t290)) % 35.15/35.34 (step @p201 :rule quant-merge-prenex :args ((= @t290 @t291))) % 35.15/35.34 (step @p202 :rule symm :premises (@p201)) % 35.15/35.34 (step @p203 :rule quant_var_reordering :args ((= (forall @t292 @t288) @t291))) % 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% 35.15/35.34 (step @p290 :rule trans :premises (@p289 @p287)) % 35.15/35.34 (step @p291 :rule trans :premises (@p290 @p286)) % 35.15/35.34 (step @p292 :rule aci_norm :args ((= (or @t324 @t351) @t350))) % 35.15/35.34 (step @p293 :rule bool-impl-elim :args (@t18 @t351)) % 35.15/35.34 (step @p294 :rule trans :premises (@p293 @p292)) % 35.15/35.34 (step @p295 :rule cong :premises (@p294) :args ((forall @t19 (=> @t18 @t351)))) % 35.15/35.34 (step @p296 :rule trans :premises (@p295 @p291)) % 35.15/35.34 (step @p297 :rule aci_norm :args ((= (or @t163 @t276 @t157 @t352) @t351))) % 35.15/35.34 (step @p298 :rule quant-miniscope-or :args ((= (forall @t344 @t353) @t352))) % 35.15/35.34 (step @p299 :rule aci_norm :args ((= @t354 @t353))) % 35.15/35.34 (step @p300 :rule cong :premises (@p299) :args ((forall @t344 @t354))) % 35.15/35.34 (step @p301 :rule trans :premises (@p300 @p298)) % 35.15/35.34 (step @p302 :rule aci_norm :args ((= (or @t286 false @t323 @t342 @t341 @t339) @t354))) % 35.15/35.34 (step @p303 :rule refl :args (@t339)) % 35.15/35.34 (step @p304 :rule refl :args (@t341)) % 35.15/35.34 (step @p305 :rule refl :args (@t342)) % 35.15/35.34 (step @p306 :rule refl :args (@t323)) % 35.15/35.34 (step @p307 :rule eq-refl :args (@t1)) % 35.15/35.34 (step @p308 :rule cong :premises (@p307) :args (@t355)) % 35.15/35.34 (step @p309 :rule trans :premises (@p308 @p138)) % 35.15/35.34 (step @p310 :rule nary_cong :premises (@p284 @p309 @p306 @p305 @p304 @p303) :args (@t356)) % 35.15/35.34 (step @p311 :rule trans :premises (@p310 @p302)) % 35.15/35.34 (step @p312 :rule cong :premises (@p311) :args ((forall @t344 @t356))) % 35.15/35.34 (step @p313 :rule trans :premises (@p312 @p301)) % 35.15/35.34 (step @p314 :rule quant-var-elim-eq :args ((= (forall @t17 (or (not (= @t13 @t1)) @t359 @t164 @t358 @t342 @t357 @t339)) @t356))) % 35.15/35.34 (step @p315 :rule refl :args (@t339)) % 35.15/35.34 (step @p316 :rule refl :args (@t357)) % 35.15/35.34 (step @p317 :rule refl :args (@t342)) % 35.15/35.34 (step @p318 :rule refl :args (@t358)) % 35.15/35.34 (step @p319 :rule refl :args (@t164)) % 35.15/35.34 (step @p320 :rule refl :args (@t359)) % 35.15/35.34 (step @p321 :rule eq-symm :args (@t1 @t13)) % 35.15/35.34 (step @p322 :rule cong :premises (@p321) :args (@t164)) % 35.15/35.34 (step @p323 :rule nary_cong :premises (@p322 @p320 @p319 @p318 @p317 @p316 @p315) :args (@t360)) % 35.15/35.34 (step @p324 :rule aci_norm :args ((= @t361 @t360))) % 35.15/35.34 (step @p325 :rule trans :premises (@p324 @p323)) % 35.15/35.34 (step @p326 :rule cong :premises (@p325) :args (@t362)) % 35.15/35.34 (step @p327 :rule trans :premises (@p326 @p314)) % 35.15/35.34 (step @p328 :rule cong :premises (@p327) :args (@t363)) % 35.15/35.34 (step @p329 :rule quant-merge-prenex :args ((= @t363 @t364))) % 35.15/35.34 (step @p330 :rule symm :premises (@p329)) % 35.15/35.34 (step @p331 :rule quant_var_reordering :args ((= (forall @t365 @t361) @t364))) % 35.15/35.34 (step @p332 :rule trans :premises 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:premises (@p346) :args (@t373)) % 35.15/35.34 (step @p348 :rule trans :premises (@p347 @p333)) % 35.15/35.34 (step @p349 :rule quant-merge-prenex :args ((= (forall @t17 @t374) @t373))) % 35.15/35.34 (step @p350 :rule alpha_equiv :args (@t375 @t337 (@list @t31))) % 35.15/35.34 (step @p351 :rule nary_cong :premises (@p320 @p319 @p318 @p350) :args (@t376)) % 35.15/35.34 (step @p352 :rule quant-miniscope-or :args ((= @t374 @t376))) % 35.15/35.34 (step @p353 :rule trans :premises (@p352 @p351)) % 35.15/35.34 (step @p354 :rule symm :premises (@p353)) % 35.15/35.34 (step @p355 :rule cong :premises (@p354) :args (@t385)) % 35.15/35.34 (step @p356 :rule trans :premises (@p355 @p349)) % 35.15/35.34 (step @p357 :rule trans :premises (@p356 @p348)) % 35.15/35.34 (step @p358 :rule refl :args (@t157)) % 35.15/35.34 (step @p359 :rule refl :args (@t163)) % 35.15/35.34 (step @p360 :rule nary_cong :premises (@p359 @p222 @p358 @p357) :args (@t386)) % 35.15/35.34 (step @p361 :rule trans :premises (@p360 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(@p999) :args (@t693)) % 35.15/35.34 (step @p884 :rule eq_resolve :premises (@p882 @p879)) % 35.15/35.34 (step @p885 :rule implies_elim :premises (@p884)) % 35.15/35.34 (step @p886 :rule chain_m_resolution :premises (@p885 @p863) :args (@t697 @t698 (@list @t694))) % 35.15/35.34 (step @p887 :rule bool-double-not-elim :args (@t512)) % 35.15/35.34 (step @p888 :rule nary_cong :premises (@p588 @p887) :args ((or @t514 (not @t513)))) % 35.15/35.34 (step @p889 :rule cnf_or_neg :args (@t514 0)) % 35.15/35.34 (step @p890 :rule eq_resolve :premises (@p889 @p888)) % 35.15/35.34 (step @p891 :rule reordering :premises (@p890) :args ((or @t512 @t514))) % 35.15/35.34 (step @p892 :rule chain_m_resolution :premises (@p891 @p586) :args (@t512 @t515 @t516)) % 35.15/35.34 (step @p893 :rule cnf_or_pos :args (@t697)) % 35.15/35.34 (step @p894 :rule reordering :premises (@p893) :args ((or @t513 @t696 (not @t697)))) % 35.15/35.34 (step @p895 :rule chain_m_resolution :premises (@p894 @p892 @p886) :args (@t696 @t699 (@list @t512 @t697))) % 35.15/35.34 (step @p896 :rule bool-double-not-elim :args (@t510)) % 35.15/35.34 (step @p897 :rule nary_cong :premises (@p588 @p896) :args ((or @t514 (not @t511)))) % 35.15/35.34 (step @p898 :rule cnf_or_neg :args (@t514 1)) % 35.15/35.34 (step @p899 :rule eq_resolve :premises (@p898 @p897)) % 35.15/35.34 (step @p900 :rule reordering :premises (@p899) :args ((or @t510 @t514))) % 35.15/35.34 (step @p901 :rule chain_m_resolution :premises (@p900 @p586) :args (@t510 @t515 @t516)) % 35.15/35.34 (step @p902 :rule cnf_equiv_pos1 :args (@t696)) % 35.15/35.34 (step @p903 :rule reordering :premises (@p902) :args ((or @t511 @t695 (not @t696)))) % 35.15/35.34 (step @p904 :rule chain_m_resolution :premises (@p903 @p901 @p895) :args (@t695 @t699 (@list @t510 @t696))) % 35.15/35.34 (step @p905 :rule eq-symm :args (@t700 @t500)) % 35.15/35.34 (step @p906 :rule cong :premises (@p905) :args (@t701)) % 35.15/35.34 (step @p907 :rule refl :args (@t503)) % 35.15/35.34 (step @p908 :rule refl :args (@t575)) % 35.15/35.34 (step @p909 :rule refl :args (@t505)) % 35.15/35.34 (step @p910 :rule refl :args (@t702)) % 35.15/35.34 (step @p911 :rule refl :args (@t509)) % 35.15/35.34 (step @p912 :rule nary_cong :premises (@p911 @p911 @p910 @p909 @p908 @p907 @p906) :args (@t703)) % 35.15/35.34 (step @p913 :rule refl :args (@t695)) % 35.15/35.34 (step @p914 :rule cong :premises (@p913 @p912) :args ((=> @t695 @t703))) % 35.15/35.34 (assume-push @p1000 @t695) % 35.15/35.34 (step @p916 :rule instantiate :premises (@p904) :args ((@list @t224 @t224 @t498 tptp.nil @t495))) % 35.15/35.34 (step-pop @p1001 :rule scope :premises (@p916)) % 35.15/35.34 (step @p917 :rule process_scope :premises (@p1001) :args (@t703)) % 35.15/35.34 (step @p919 :rule eq_resolve :premises (@p917 @p914)) % 35.15/35.34 (step @p920 :rule implies_elim :premises (@p919)) % 35.15/35.34 (step @p921 :rule chain_m_resolution :premises (@p920 @p904) :args (@t706 @t698 (@list @t695))) % 35.15/35.34 (step @p922 :rule aci_norm :args ((= @t712 (or @t178 @t710 @t709 @t708)))) % 35.15/35.34 (step @p923 :rule cong :premises (@p922) :args (@t713)) % 35.15/35.34 (step @p924 :rule quant-merge-prenex :args ((= (forall @t11 @t715) @t713))) % 35.15/35.34 (step @p925 :rule alpha_equiv :args (@t716 (@list @t707) @t185)) % 35.15/35.34 (step @p926 :rule nary_cong :premises (@p102 @p925) :args (@t717)) % 35.15/35.34 (step @p927 :rule quant-miniscope-or :args ((= @t715 @t717))) % 35.15/35.34 (step @p928 :rule trans :premises (@p927 @p926)) % 35.15/35.34 (step @p929 :rule symm :premises (@p928)) % 35.15/35.34 (step @p930 :rule cong :premises (@p929) :args ((forall @t11 (or @t178 @t720)))) % 35.15/35.34 (step @p931 :rule trans :premises (@p930 @p924)) % 35.15/35.34 (step @p932 :rule trans :premises (@p931 @p923)) % 35.15/35.34 (step @p933 :rule bool-impl-elim :args (@t9 @t720)) % 35.15/35.34 (step @p934 :rule cong :premises (@p933) :args ((forall @t11 (=> @t9 @t720)))) % 35.15/35.34 (step @p935 :rule trans :premises (@p934 @p932)) % 35.15/35.34 (step @p936 :rule aci_norm :args ((= (or @t187 (or @t718 @t79)) @t719))) % 35.15/35.34 (step @p937 :rule bool-impl-elim :args (@t80 @t79)) % 35.15/35.34 (step @p938 :rule nary_cong :premises (@p750 @p937) :args ((or @t187 @t81))) % 35.15/35.34 (step @p939 :rule trans :premises (@p938 @p936)) % 35.15/35.34 (step @p940 :rule bool-impl-elim :args (@t6 @t81)) % 35.15/35.34 (step @p941 :rule trans :premises (@p940 @p939)) % 35.15/35.34 (step @p942 :rule cong :premises (@p941) :args (@t82)) % 35.15/35.34 (step @p943 :rule cong :premises (@p115 @p942) :args (@t83)) % 35.15/35.34 (step @p944 :rule cong :premises (@p943) :args (@t84)) % 35.15/35.34 (step @p945 :rule trans :premises (@p944 @p935)) % 35.15/35.34 (step @p946 :rule eq_resolve :premises (@p33 @p945)) % 35.15/35.34 (step @p947 :rule instantiate :premises (@p946) :args ((@list @t224 @t224))) % 35.15/35.34 (step @p948 :rule cnf_or_pos :args (@t722)) % 35.15/35.34 (step @p949 :rule factoring :premises (@p948)) % 35.15/35.34 (step @p950 :rule reordering :premises (@p949) :args ((or @t509 @t721 (not @t722)))) % 35.15/35.34 (step @p951 :rule chain_m_resolution :premises (@p950 @p599 @p947) :args (@t721 @t699 (@list @t508 @t722))) % 35.15/35.34 (step @p952 :rule cnf_or_pos :args (@t706)) % 35.15/35.34 (step @p953 :rule factoring :premises (@p952)) % 35.15/35.34 (step @p954 :rule reordering :premises (@p953) :args ((or @t575 @t509 @t505 @t503 @t702 @t705 (not @t706)))) % 35.15/35.34 (step @p955 :rule chain_m_resolution :premises (@p954 @p17 @p599 @p737 @p639 @p951 @p921) :args (@t705 (@list false false false false true false) (@list @t62 @t508 @t504 @t502 @t702 @t706))) % 35.15/35.34 (step @p956 :rule bool-double-not-elim :args (@t704)) % 35.15/35.34 (step @p957 :rule refl :args (@t723)) % 35.15/35.34 (step @p958 :rule refl :args (@t724)) % 35.15/35.34 (step @p959 :rule refl :args (@t518)) % 35.15/35.34 (step @p960 :rule nary_cong :premises (@p959 @p958 @p957 @p956) :args ((or @t518 @t724 @t723 (not @t705)))) % 35.15/35.34 (assume-push @p1002 @t705) % 35.15/35.34 (assume-push @p1003 @t704) % 35.15/35.34 (step @p963 :rule evaluate :args ((= true false))) % 35.15/35.34 (step @p964 :rule false_intro :premises (@p955)) % 35.15/35.34 (step @p965 :rule symm :premises (@p642)) % 35.15/35.34 (step @p966 :rule refl :args (@t495)) % 35.15/35.34 (step @p967 :rule symm :premises (@p612)) % 35.15/35.34 (step @p968 :rule cong :premises (@p967 @p727) :args (@t496)) % 35.15/35.34 (step @p969 :rule cong :premises (@p968 @p966) :args (@t592)) % 35.15/35.34 (step @p970 :rule trans :premises (@p969 @p965)) % 35.15/35.34 (step @p971 :rule refl :args (@t499)) % 35.15/35.34 (step @p972 :rule cong :premises (@p971 @p970) :args (@t593)) % 35.15/35.34 (step @p973 :rule chain_m_resolution :premises (@p742 @p639 @p740 @p704 @p680) :args (@t594 @t598 @t599)) % 35.15/35.34 (step @p974 :rule trans :premises (@p973 @p972)) % 35.15/35.34 (step @p975 :rule true_intro :premises (@p974)) % 35.15/35.34 (step @p976 :rule symm :premises (@p975)) % 35.15/35.34 (step @p977 :rule trans :premises (@p976 @p964)) % 35.15/35.34 (step @p978 false :rule eq_resolve :premises (@p977 @p963)) % 35.15/35.34 (step-pop @p1004 :rule scope :premises (@p978)) % 35.15/35.34 (step-pop @p1005 :rule scope :premises (@p1004)) % 35.15/35.34 (step @p979 :rule process_scope :premises (@p1005) :args (false)) % 35.15/35.34 (assume-push @p1006 @t517) % 35.15/35.34 (assume-push @p1007 @t535) % 35.15/35.34 (assume-push @p1008 @t594) % 35.15/35.34 (assume-push @p1009 @t705) % 35.15/35.34 (step @p965 :rule symm :premises (@p642)) % 35.15/35.34 (step @p966 :rule refl :args (@t495)) % 35.15/35.34 (step @p967 :rule symm :premises (@p612)) % 35.15/35.34 (step @p968 :rule cong :premises (@p967 @p727) :args (@t496)) % 35.15/35.34 (step @p969 :rule cong :premises (@p968 @p966) :args (@t592)) % 35.15/35.34 (step @p970 :rule trans :premises (@p969 @p965)) % 35.15/35.34 (step @p971 :rule refl :args (@t499)) % 35.15/35.34 (step @p972 :rule cong :premises (@p971 @p970) :args (@t593)) % 35.15/35.34 (step @p986 :rule trans :premises (@p743 @p972)) % 35.15/35.34 (step @p987 :rule and_intro :premises (@p955 @p986)) % 35.15/35.34 (step-pop @p1010 :rule scope :premises (@p987)) % 35.15/35.34 (step-pop @p1011 :rule scope :premises (@p1010)) % 35.15/35.34 (step-pop @p1012 :rule scope :premises (@p1011)) % 35.15/35.34 (step-pop @p1013 :rule scope :premises (@p1012)) % 35.15/35.34 (step @p988 :rule process_scope :premises (@p1013) :args (@t725)) % 35.15/35.34 (step @p993 :rule implies_elim :premises (@p988)) % 35.15/35.34 (step @p994 :rule resolution :premises (@p993 @p979) :args (true @t725)) % 35.15/35.34 (step @p995 :rule not_and :premises (@p994)) % 35.15/35.34 (step @p996 :rule eq_resolve :premises (@p995 @p960)) % 35.15/35.34 (step @p997 false :rule chain_m_resolution :premises (@p996 @p955 @p743 @p642 @p612) :args (false (@list true false false false) (@list @t704 @t594 @t535 @t517))) % 35.15/35.34 ) % 35.15/35.34 % SZS output end Proof % 35.15/35.34 % cvc5 exiting %------------------------------------------------------------------------------