%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC353+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 : n001.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 08:58:59 AM UTC 2026 % Result : Theorem 0.36s 0.71s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWC353+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n001.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:43:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.71 % SZS status Theorem % 0.36/0.71 % SZS output start Proof % 0.36/0.71 ( % 0.36/0.71 (declare-sort $$unsorted 0) % 0.36/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.nil $$unsorted) % 0.36/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (define @t1 () (@var "V" $$unsorted)) % 0.36/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.71 (define @t3 () (= @t2 @t1)) % 0.36/0.71 (define @t4 () (not @t3)) % 0.36/0.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.36/0.71 (define @t6 () (tptp.ssItem @t1)) % 0.36/0.71 (define @t7 () (@list @t1)) % 0.36/0.71 (define @t8 () (tptp.ssItem @t2)) % 0.36/0.71 (define @t9 () (@list @t2)) % 0.36/0.71 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.71 (define @t11 () (tptp.cons @t1 @t10)) % 0.36/0.71 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.71 (define @t13 () (tptp.ssList @t10)) % 0.36/0.71 (define @t14 () (@list @t10)) % 0.36/0.71 (define @t15 () (tptp.ssList @t12)) % 0.36/0.71 (define @t16 () (@list @t12)) % 0.36/0.71 (define @t17 () (tptp.ssList @t2)) % 0.36/0.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.36/0.71 (define @t19 () (tptp.app @t1 @t12)) % 0.36/0.71 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.36/0.71 (define @t21 () (tptp.ssList @t1)) % 0.36/0.71 (define @t22 () (tptp.app @t12 @t1)) % 0.36/0.71 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.36/0.71 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.36/0.71 (define @t25 () (tptp.leq @t12 @t1)) % 0.36/0.71 (define @t26 () (tptp.leq @t1 @t12)) % 0.36/0.71 (define @t27 () (@var "Z" $$unsorted)) % 0.36/0.71 (define @t28 () (@var "Y" $$unsorted)) % 0.36/0.71 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.36/0.71 (define @t30 () (tptp.ssList @t27)) % 0.36/0.71 (define @t31 () (@list @t27)) % 0.36/0.71 (define @t32 () (tptp.ssList @t28)) % 0.36/0.71 (define @t33 () (@list @t28)) % 0.36/0.71 (define @t34 () (tptp.ssItem @t12)) % 0.36/0.71 (define @t35 () (tptp.lt @t1 @t12)) % 0.36/0.71 (define @t36 () (tptp.totalorderedP @t2)) % 0.36/0.71 (define @t37 () (= @t1 @t12)) % 0.36/0.71 (define @t38 () (tptp.cons @t1 @t2)) % 0.36/0.71 (define @t39 () (= @t1 @t2)) % 0.36/0.71 (define @t40 () (tptp.cons @t12 @t1)) % 0.36/0.71 (define @t41 () (= tptp.nil @t2)) % 0.36/0.71 (define @t42 () (tptp.hd @t2)) % 0.36/0.71 (define @t43 () (not @t41)) % 0.36/0.71 (define @t44 () (tptp.tl @t2)) % 0.36/0.71 (define @t45 () (tptp.app @t2 @t1)) % 0.36/0.71 (define @t46 () (tptp.app @t1 @t2)) % 0.36/0.71 (define @t47 () (tptp.leq @t1 @t2)) % 0.36/0.71 (define @t48 () (tptp.leq @t2 @t1)) % 0.36/0.71 (define @t49 () (tptp.geq @t2 @t1)) % 0.36/0.71 (define @t50 () (tptp.lt @t1 @t2)) % 0.36/0.71 (define @t51 () (tptp.lt @t2 @t1)) % 0.36/0.71 (define @t52 () (tptp.lt @t2 @t12)) % 0.36/0.71 (define @t53 () (tptp.gt @t2 @t1)) % 0.36/0.71 (define @t54 () (tptp.memberP @t12 @t2)) % 0.36/0.71 (define @t55 () (tptp.frontsegP @t1 @t2)) % 0.36/0.71 (define @t56 () (tptp.frontsegP @t2 @t2)) % 0.36/0.71 (define @t57 () (forall @t9 (=> @t17 @t56))) % 0.36/0.71 (define @t58 () (tptp.frontsegP (tptp.app @t2 @t12) @t1)) % 0.36/0.71 (define @t59 () (=> @t20 @t58)) % 0.36/0.71 (define @t60 () (forall @t16 (=> @t15 @t59))) % 0.36/0.71 (define @t61 () (=> @t21 @t60)) % 0.36/0.71 (define @t62 () (forall @t7 @t61)) % 0.36/0.71 (define @t63 () (=> @t17 @t62)) % 0.36/0.71 (define @t64 () (forall @t9 @t63)) % 0.36/0.71 (define @t65 () (tptp.app @t12 @t2)) % 0.36/0.71 (define @t66 () (tptp.cons @t2 tptp.nil)) % 0.36/0.71 (define @t67 () (tptp.hd @t1)) % 0.36/0.71 (define @t68 () (= tptp.nil @t1)) % 0.36/0.71 (define @t69 () (not @t68)) % 0.36/0.71 (define @t70 () (tptp.cons @t2 @t1)) % 0.36/0.71 (define @t71 () (= @t12 @t2)) % 0.36/0.71 (define @t72 () (not (= tptp.nil @t10))) % 0.36/0.71 (define @t73 () (and @t72 (= tptp.nil @t12))) % 0.36/0.71 (define @t74 () (@var "X2" $$unsorted)) % 0.36/0.71 (define @t75 () (tptp.leq @t74 @t27)) % 0.36/0.71 (define @t76 () (tptp.cons @t74 tptp.nil)) % 0.36/0.71 (define @t77 () (@var "X3" $$unsorted)) % 0.36/0.71 (define @t78 () (tptp.app @t77 @t76)) % 0.36/0.71 (define @t79 () (tptp.ssList @t77)) % 0.36/0.71 (define @t80 () (and @t79 (= @t78 @t12) @t75)) % 0.36/0.71 (define @t81 () (@list @t77)) % 0.36/0.71 (define @t82 () (exists @t81 @t80)) % 0.36/0.71 (define @t83 () (tptp.ssItem @t74)) % 0.36/0.71 (define @t84 () (and @t83 @t82)) % 0.36/0.71 (define @t85 () (@list @t74)) % 0.36/0.71 (define @t86 () (exists @t85 @t84)) % 0.36/0.71 (define @t87 () (@var "X1" $$unsorted)) % 0.36/0.71 (define @t88 () (tptp.cons @t27 tptp.nil)) % 0.36/0.71 (define @t89 () (tptp.app @t88 @t87)) % 0.36/0.71 (define @t90 () (tptp.ssList @t87)) % 0.36/0.71 (define @t91 () (and @t90 (= @t89 @t28) @t86)) % 0.36/0.71 (define @t92 () (@list @t87)) % 0.36/0.71 (define @t93 () (exists @t92 @t91)) % 0.36/0.71 (define @t94 () (tptp.ssItem @t27)) % 0.36/0.71 (define @t95 () (and @t94 @t93)) % 0.36/0.71 (define @t96 () (exists @t31 @t95)) % 0.36/0.71 (define @t97 () (not (tptp.totalorderedP @t12))) % 0.36/0.71 (define @t98 () (tptp.app @t12 @t28)) % 0.36/0.71 (define @t99 () (not (= @t98 @t10))) % 0.36/0.71 (define @t100 () (or @t99 @t97 @t96)) % 0.36/0.71 (define @t101 () (=> @t32 @t100)) % 0.36/0.71 (define @t102 () (forall @t33 @t101)) % 0.36/0.71 (define @t103 () (not (= @t2 @t12))) % 0.36/0.71 (define @t104 () (not (= @t1 @t10))) % 0.36/0.71 (define @t105 () (or @t104 @t103 @t102 @t55 @t73)) % 0.36/0.71 (define @t106 () (=> @t13 @t105)) % 0.36/0.71 (define @t107 () (forall @t14 @t106)) % 0.36/0.71 (define @t108 () (=> @t15 @t107)) % 0.36/0.71 (define @t109 () (forall @t16 @t108)) % 0.36/0.71 (define @t110 () (=> @t21 @t109)) % 0.36/0.71 (define @t111 () (forall @t7 @t110)) % 0.36/0.71 (define @t112 () (=> @t17 @t111)) % 0.36/0.71 (define @t113 () (forall @t9 @t112)) % 0.36/0.71 (define @t114 () (not @t113)) % 0.36/0.71 (define @t115 () (@var "BOUND_VARIABLE_11190" $$unsorted)) % 0.36/0.71 (define @t116 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 0.36/0.71 (define @t117 () (tptp.app @t88 @t116)) % 0.36/0.71 (define @t118 () (not (tptp.ssList @t116))) % 0.36/0.71 (define @t119 () (@var "BOUND_VARIABLE_11008" $$unsorted)) % 0.36/0.71 (define @t120 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 0.36/0.71 (define @t121 () (tptp.app @t120 (tptp.cons @t119 tptp.nil))) % 0.36/0.71 (define @t122 () (not (= @t2 @t121))) % 0.36/0.71 (define @t123 () (not (tptp.ssList @t120))) % 0.36/0.71 (define @t124 () (not (tptp.leq @t119 @t27))) % 0.36/0.71 (define @t125 () (not (tptp.ssItem @t119))) % 0.36/0.71 (define @t126 () (not @t94)) % 0.36/0.71 (define @t127 () (@list @t27 @t119 @t120 @t116)) % 0.36/0.71 (define @t128 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t122 @t118 (not (= @t117 @t115)))))) % 0.36/0.71 (define @t129 () (not (tptp.ssList @t115))) % 0.36/0.71 (define @t130 () (= @t2 tptp.nil)) % 0.36/0.71 (define @t131 () (tptp.app @t2 @t115)) % 0.36/0.71 (define @t132 () (and (not (= tptp.nil @t131)) @t130)) % 0.36/0.71 (define @t133 () (tptp.frontsegP @t131 @t2)) % 0.36/0.71 (define @t134 () (not (tptp.ssList @t131))) % 0.36/0.71 (define @t135 () (not @t36)) % 0.36/0.71 (define @t136 () (not @t17)) % 0.36/0.71 (define @t137 () (or @t136 @t135 @t134 @t133 @t132 @t129 @t128)) % 0.36/0.71 (define @t138 () (or @t134 @t133 @t132 @t129 @t128)) % 0.36/0.71 (define @t139 () (or @t136 @t135 @t138)) % 0.36/0.71 (define @t140 () (@list @t2 @t115)) % 0.36/0.71 (define @t141 () (forall @t140 @t139)) % 0.36/0.71 (define @t142 () (@list @t115)) % 0.36/0.71 (define @t143 () (forall @t142 @t139)) % 0.36/0.71 (define @t144 () (forall @t142 @t138)) % 0.36/0.71 (define @t145 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 0.36/0.71 (define @t146 () (@list @t145)) % 0.36/0.71 (define @t147 () (or @t136 @t135 @t144)) % 0.36/0.71 (define @t148 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t122 @t118 (not (= @t117 @t145)))))) % 0.36/0.71 (define @t149 () (not (tptp.ssList @t145))) % 0.36/0.71 (define @t150 () (tptp.app @t2 @t145)) % 0.36/0.71 (define @t151 () (and (not (= tptp.nil @t150)) @t130)) % 0.36/0.71 (define @t152 () (tptp.frontsegP @t150 @t2)) % 0.36/0.71 (define @t153 () (not (tptp.ssList @t150))) % 0.36/0.71 (define @t154 () (or @t153 @t152 @t151 @t149 @t148)) % 0.36/0.71 (define @t155 () (@list @t145)) % 0.36/0.71 (define @t156 () (or @t136 @t135 (forall @t155 @t154))) % 0.36/0.71 (define @t157 () (not (= @t150 @t150))) % 0.36/0.71 (define @t158 () (not (= @t150 tptp.nil))) % 0.36/0.71 (define @t159 () (and @t158 @t130)) % 0.36/0.71 (define @t160 () (or @t153 @t152 @t159 @t149 @t157 @t148)) % 0.36/0.71 (define @t161 () (not (= @t1 @t150))) % 0.36/0.71 (define @t162 () (not (= @t1 tptp.nil))) % 0.36/0.71 (define @t163 () (and @t162 @t130)) % 0.36/0.71 (define @t164 () (not @t21)) % 0.36/0.71 (define @t165 () (or @t161 @t164 @t55 @t163 @t149 @t161 @t148)) % 0.36/0.71 (define @t166 () (or @t164 @t55 @t163 @t149 @t161 @t148)) % 0.36/0.71 (define @t167 () (forall @t7 @t166)) % 0.36/0.71 (define @t168 () (forall @t155 @t167)) % 0.36/0.71 (define @t169 () (forall (@list @t145 @t1) @t166)) % 0.36/0.71 (define @t170 () (@list @t1 @t145)) % 0.36/0.71 (define @t171 () (or @t149 @t161 @t148)) % 0.36/0.71 (define @t172 () (or @t164 @t55 @t163 @t171)) % 0.36/0.71 (define @t173 () (forall @t170 @t172)) % 0.36/0.71 (define @t174 () (forall @t155 @t172)) % 0.36/0.71 (define @t175 () (forall @t155 @t171)) % 0.36/0.71 (define @t176 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 0.36/0.71 (define @t177 () (@list @t176)) % 0.36/0.71 (define @t178 () (or @t164 @t55 @t163 @t175)) % 0.36/0.71 (define @t179 () (not (= @t117 @t176))) % 0.36/0.71 (define @t180 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t122 @t118 @t179)))) % 0.36/0.71 (define @t181 () (not (= @t1 (tptp.app @t2 @t176)))) % 0.36/0.71 (define @t182 () (not (tptp.ssList @t176))) % 0.36/0.71 (define @t183 () (or @t182 @t181 @t180)) % 0.36/0.71 (define @t184 () (@list @t176)) % 0.36/0.71 (define @t185 () (forall @t184 @t183)) % 0.36/0.71 (define @t186 () (or @t164 @t55 @t163 @t185)) % 0.36/0.71 (define @t187 () (forall @t7 @t186)) % 0.36/0.71 (define @t188 () (or @t136 @t135 @t187)) % 0.36/0.71 (define @t189 () (or @t136 @t135 @t186)) % 0.36/0.71 (define @t190 () (or @t164 @t55 @t136 @t135 @t163 @t185)) % 0.36/0.71 (define @t191 () (or @t55 @t164 @t136 @t135 @t163 @t185)) % 0.36/0.71 (define @t192 () (or @t136 @t135 @t163 @t185)) % 0.36/0.71 (define @t193 () (or @t136 @t135 @t163 @t183)) % 0.36/0.71 (define @t194 () (or @t136 @t135 @t163 @t182 @t181 @t180)) % 0.36/0.71 (define @t195 () (not (= @t2 @t2))) % 0.36/0.71 (define @t196 () (or @t136 @t195 @t135 @t163 @t182 @t181 @t180)) % 0.36/0.71 (define @t197 () (not (= @t12 @t121))) % 0.36/0.71 (define @t198 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t197 @t118 @t179)))) % 0.36/0.71 (define @t199 () (not (= @t1 (tptp.app @t12 @t176)))) % 0.36/0.71 (define @t200 () (= @t12 tptp.nil)) % 0.36/0.71 (define @t201 () (and @t162 @t200)) % 0.36/0.71 (define @t202 () (not @t15)) % 0.36/0.71 (define @t203 () (or @t103 @t202 @t103 @t97 @t201 @t182 @t199 @t198)) % 0.36/0.71 (define @t204 () (or @t202 @t103 @t97 @t201 @t182 @t199 @t198)) % 0.36/0.71 (define @t205 () (forall @t16 @t204)) % 0.36/0.71 (define @t206 () (forall @t184 @t205)) % 0.36/0.71 (define @t207 () (forall (@list @t176 @t12) @t204)) % 0.36/0.71 (define @t208 () (@list @t12 @t176)) % 0.36/0.71 (define @t209 () (or @t182 @t199 @t198)) % 0.36/0.71 (define @t210 () (or @t202 @t103 @t97 @t201 @t209)) % 0.36/0.71 (define @t211 () (forall @t208 @t210)) % 0.36/0.71 (define @t212 () (forall @t184 @t210)) % 0.36/0.71 (define @t213 () (forall @t184 @t209)) % 0.36/0.71 (define @t214 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 0.36/0.71 (define @t215 () (@list @t214)) % 0.36/0.71 (define @t216 () (or @t202 @t103 @t97 @t201 @t213)) % 0.36/0.71 (define @t217 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t197 @t118 (not (= @t117 @t214)))))) % 0.36/0.71 (define @t218 () (tptp.app @t12 @t214)) % 0.36/0.71 (define @t219 () (not (= @t1 @t218))) % 0.36/0.71 (define @t220 () (not (tptp.ssList @t214))) % 0.36/0.71 (define @t221 () (or @t220 @t219 @t217)) % 0.36/0.71 (define @t222 () (@list @t214)) % 0.36/0.71 (define @t223 () (forall @t222 @t221)) % 0.36/0.71 (define @t224 () (or @t202 @t103 @t97 @t201 @t223)) % 0.36/0.71 (define @t225 () (forall @t16 @t224)) % 0.36/0.71 (define @t226 () (or @t55 @t164 @t225)) % 0.36/0.71 (define @t227 () (or @t55 @t164 @t224)) % 0.36/0.71 (define @t228 () (or @t202 @t103 @t55 @t97 @t164 @t201 @t223)) % 0.36/0.71 (define @t229 () (or @t103 @t55 @t97 @t164 @t201 @t223)) % 0.36/0.71 (define @t230 () (or @t164 @t201 @t223)) % 0.36/0.71 (define @t231 () (or @t164 @t201 @t221)) % 0.36/0.71 (define @t232 () (or @t164 @t201 @t220 @t219 @t217)) % 0.36/0.71 (define @t233 () (not (= @t1 @t1))) % 0.36/0.71 (define @t234 () (or @t164 @t233 @t201 @t220 @t219 @t217)) % 0.36/0.71 (define @t235 () (not (= @t10 @t218))) % 0.36/0.71 (define @t236 () (and (not (= @t10 tptp.nil)) @t200)) % 0.36/0.71 (define @t237 () (not @t13)) % 0.36/0.71 (define @t238 () (or @t104 @t237 @t104 @t236 @t220 @t235 @t217)) % 0.36/0.71 (define @t239 () (or @t237 @t104 @t236 @t220 @t235 @t217)) % 0.36/0.71 (define @t240 () (forall @t14 @t239)) % 0.36/0.71 (define @t241 () (forall @t222 @t240)) % 0.36/0.71 (define @t242 () (forall (@list @t214 @t10) @t239)) % 0.36/0.71 (define @t243 () (@list @t10 @t214)) % 0.36/0.71 (define @t244 () (not (= @t214 @t117))) % 0.36/0.71 (define @t245 () (or @t126 @t125 @t124 @t123 @t197 @t118 @t244)) % 0.36/0.71 (define @t246 () (forall @t127 @t245)) % 0.36/0.71 (define @t247 () (not @t246)) % 0.36/0.71 (define @t248 () (or @t237 @t104 @t236 @t220 @t235 @t247)) % 0.36/0.71 (define @t249 () (or @t220 @t235 @t247)) % 0.36/0.71 (define @t250 () (or @t237 @t104 @t236 @t249)) % 0.36/0.71 (define @t251 () (forall @t243 @t250)) % 0.36/0.71 (define @t252 () (forall @t222 @t250)) % 0.36/0.71 (define @t253 () (forall @t222 @t249)) % 0.36/0.71 (define @t254 () (or @t237 @t104 @t236 @t253)) % 0.36/0.71 (define @t255 () (not (= @t28 @t117))) % 0.36/0.71 (define @t256 () (or @t126 @t125 @t124 @t123 @t197 @t118 @t255)) % 0.36/0.71 (define @t257 () (not (forall @t127 @t256))) % 0.36/0.71 (define @t258 () (not (= @t10 @t98))) % 0.36/0.71 (define @t259 () (not @t32)) % 0.36/0.71 (define @t260 () (or @t259 @t258 @t257)) % 0.36/0.71 (define @t261 () (forall @t33 @t260)) % 0.36/0.71 (define @t262 () (or @t237 @t104 @t236 @t261)) % 0.36/0.71 (define @t263 () (forall @t14 @t262)) % 0.36/0.71 (define @t264 () (or @t103 @t55 @t97 @t263)) % 0.36/0.71 (define @t265 () (or @t103 @t55 @t97 @t262)) % 0.36/0.71 (define @t266 () (or @t237 @t104 @t103 @t55 @t236 @t97 @t261)) % 0.36/0.71 (define @t267 () (or @t104 @t103 @t55 @t236 @t97 @t261)) % 0.36/0.71 (define @t268 () (or @t97 @t261)) % 0.36/0.71 (define @t269 () (or @t97 @t260)) % 0.36/0.71 (define @t270 () (or @t259 @t258 @t97 @t257)) % 0.36/0.71 (define @t271 () (or @t258 @t97 @t257)) % 0.36/0.71 (define @t272 () (or @t118 @t255)) % 0.36/0.71 (define @t273 () (or @t125 @t124 @t123 @t197)) % 0.36/0.71 (define @t274 () (or @t126 @t273 @t272)) % 0.36/0.71 (define @t275 () (forall @t127 @t274)) % 0.36/0.71 (define @t276 () (forall (@list @t119 @t120 @t116) @t274)) % 0.36/0.71 (define @t277 () (forall (@list @t116) @t272)) % 0.36/0.71 (define @t278 () (forall (@list @t119 @t120) @t273)) % 0.36/0.71 (define @t279 () (@var "BOUND_VARIABLE_10973" $$unsorted)) % 0.36/0.71 (define @t280 () (or @t126 @t278 @t277)) % 0.36/0.71 (define @t281 () (= @t28 @t89)) % 0.36/0.71 (define @t282 () (not @t281)) % 0.36/0.71 (define @t283 () (not @t90)) % 0.36/0.71 (define @t284 () (or @t283 @t282)) % 0.36/0.71 (define @t285 () (forall @t92 @t284)) % 0.36/0.71 (define @t286 () (not (= @t12 (tptp.app @t279 @t76)))) % 0.36/0.71 (define @t287 () (not (tptp.ssList @t279))) % 0.36/0.71 (define @t288 () (not @t75)) % 0.36/0.71 (define @t289 () (not @t83)) % 0.36/0.71 (define @t290 () (or @t289 @t288 @t287 @t286)) % 0.36/0.71 (define @t291 () (@list @t74 @t279)) % 0.36/0.71 (define @t292 () (forall @t291 @t290)) % 0.36/0.71 (define @t293 () (or @t126 @t292 @t285)) % 0.36/0.71 (define @t294 () (or @t292 @t285)) % 0.36/0.71 (define @t295 () (not @t294)) % 0.36/0.71 (define @t296 () (and @t94 @t295)) % 0.36/0.71 (define @t297 () (forall @t31 (not @t296))) % 0.36/0.71 (define @t298 () (not @t297)) % 0.36/0.71 (define @t299 () (or @t292 @t284)) % 0.36/0.71 (define @t300 () (or @t283 @t282 @t292)) % 0.36/0.71 (define @t301 () (not @t292)) % 0.36/0.71 (define @t302 () (not @t301)) % 0.36/0.71 (define @t303 () (or @t283 @t282 @t302)) % 0.36/0.71 (define @t304 () (and @t90 @t281 @t301)) % 0.36/0.71 (define @t305 () (forall @t92 (not @t304))) % 0.36/0.71 (define @t306 () (not @t305)) % 0.36/0.71 (define @t307 () (or @t287 @t286)) % 0.36/0.71 (define @t308 () (or @t289 @t288 @t307)) % 0.36/0.71 (define @t309 () (forall @t291 @t308)) % 0.36/0.71 (define @t310 () (@list @t279)) % 0.36/0.71 (define @t311 () (forall @t310 @t308)) % 0.36/0.71 (define @t312 () (forall @t310 @t307)) % 0.36/0.71 (define @t313 () (or @t289 @t288 @t312)) % 0.36/0.71 (define @t314 () (= @t12 @t78)) % 0.36/0.71 (define @t315 () (not @t314)) % 0.36/0.71 (define @t316 () (not @t79)) % 0.36/0.71 (define @t317 () (or @t316 @t315)) % 0.36/0.71 (define @t318 () (forall @t81 @t317)) % 0.36/0.71 (define @t319 () (or @t289 @t288 @t318)) % 0.36/0.71 (define @t320 () (or @t288 @t318)) % 0.36/0.71 (define @t321 () (not @t320)) % 0.36/0.71 (define @t322 () (and @t83 @t321)) % 0.36/0.71 (define @t323 () (forall @t85 (not @t322))) % 0.36/0.71 (define @t324 () (not @t323)) % 0.36/0.71 (define @t325 () (or @t288 @t317)) % 0.36/0.71 (define @t326 () (or @t316 @t315 @t288)) % 0.36/0.71 (define @t327 () (and @t79 @t314 @t75)) % 0.36/0.71 (define @t328 () (forall @t81 (not @t327))) % 0.36/0.71 (define @t329 () (not @t328)) % 0.36/0.71 (define @t330 () (forall @t140 @t137)) % 0.36/0.71 (define @t331 () (@quantifiers_skolemize @t330 1)) % 0.36/0.71 (define @t332 () (not (= @t117 @t331))) % 0.36/0.71 (define @t333 () (@quantifiers_skolemize @t330 0)) % 0.36/0.71 (define @t334 () (tptp.ssList @t331)) % 0.36/0.71 (define @t335 () (not @t334)) % 0.36/0.71 (define @t336 () (tptp.app @t333 @t331)) % 0.36/0.71 (define @t337 () (not (= tptp.nil @t336))) % 0.36/0.71 (define @t338 () (tptp.frontsegP @t336 @t333)) % 0.36/0.71 (define @t339 () (not (tptp.ssList @t336))) % 0.36/0.71 (define @t340 () (not (tptp.totalorderedP @t333))) % 0.36/0.71 (define @t341 () (tptp.ssList @t333)) % 0.36/0.71 (define @t342 () (not @t341)) % 0.36/0.71 (define @t343 () (or @t342 @t340 @t339 @t338 (and @t337 (= tptp.nil @t333)) @t335 (not (forall @t127 (or @t126 @t125 @t124 @t123 (not (= @t121 @t333)) @t118 @t332))))) % 0.36/0.71 (define @t344 () (not @t343)) % 0.36/0.71 (define @t345 () (not @t330)) % 0.36/0.71 (define @t346 () (not (= @t333 @t121))) % 0.36/0.71 (define @t347 () (or @t126 @t125 @t124 @t123 @t346 @t118 @t332)) % 0.36/0.71 (define @t348 () (forall @t127 @t347)) % 0.36/0.71 (define @t349 () (not @t348)) % 0.36/0.71 (define @t350 () (and @t337 (= @t333 tptp.nil))) % 0.36/0.71 (define @t351 () (or @t342 @t340 @t339 @t338 @t350 @t335 @t349)) % 0.36/0.71 (define @t352 () (not @t351)) % 0.36/0.71 (define @t353 () (@list true)) % 0.36/0.71 (define @t354 () (@list @t343)) % 0.36/0.71 (define @t355 () (@var "BOUND_VARIABLE_9851" $$unsorted)) % 0.36/0.71 (define @t356 () (@var "BOUND_VARIABLE_9853" $$unsorted)) % 0.36/0.71 (define @t357 () (tptp.frontsegP (tptp.app @t2 @t356) @t355)) % 0.36/0.71 (define @t358 () (not (tptp.ssList @t356))) % 0.36/0.71 (define @t359 () (not (tptp.frontsegP @t2 @t355))) % 0.36/0.71 (define @t360 () (not (tptp.ssList @t355))) % 0.36/0.71 (define @t361 () (or @t360 @t359 @t358 @t357)) % 0.36/0.71 (define @t362 () (or @t136 @t361)) % 0.36/0.71 (define @t363 () (forall (@list @t2 @t355 @t356) @t362)) % 0.36/0.71 (define @t364 () (@list @t355 @t356)) % 0.36/0.71 (define @t365 () (forall @t364 @t362)) % 0.36/0.71 (define @t366 () (forall @t364 @t361)) % 0.36/0.71 (define @t367 () (@var "BOUND_VARIABLE_9835" $$unsorted)) % 0.36/0.71 (define @t368 () (or @t136 @t366)) % 0.36/0.71 (define @t369 () (tptp.frontsegP (tptp.app @t2 @t367) @t1)) % 0.36/0.71 (define @t370 () (not (tptp.ssList @t367))) % 0.36/0.71 (define @t371 () (not @t20)) % 0.36/0.71 (define @t372 () (or @t164 @t371 @t370 @t369)) % 0.36/0.71 (define @t373 () (@list @t1 @t367)) % 0.36/0.71 (define @t374 () (forall @t373 @t372)) % 0.36/0.71 (define @t375 () (or @t370 @t369)) % 0.36/0.71 (define @t376 () (or @t164 @t371 @t375)) % 0.36/0.71 (define @t377 () (forall @t373 @t376)) % 0.36/0.71 (define @t378 () (@list @t367)) % 0.36/0.71 (define @t379 () (forall @t378 @t376)) % 0.36/0.71 (define @t380 () (forall @t378 @t375)) % 0.36/0.71 (define @t381 () (or @t164 @t371 @t380)) % 0.36/0.71 (define @t382 () (or @t202 @t58)) % 0.36/0.71 (define @t383 () (forall @t16 @t382)) % 0.36/0.71 (define @t384 () (or @t164 @t371 @t383)) % 0.36/0.71 (define @t385 () (or @t371 @t383)) % 0.36/0.71 (define @t386 () (or @t371 @t382)) % 0.36/0.71 (define @t387 () (or @t202 @t371 @t58)) % 0.36/0.71 (define @t388 () (tptp.frontsegP @t333 @t333)) % 0.36/0.71 (define @t389 () (or @t342 @t388)) % 0.36/0.71 (define @t390 () (not @t388)) % 0.36/0.71 (define @t391 () (or @t342 @t342 @t390 @t335 @t338)) % 0.36/0.71 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.36/0.71 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.36/0.71 (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))))))))))) % 0.36/0.71 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.36/0.71 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.36/0.71 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.36/0.71 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.36/0.71 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.36/0.71 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.36/0.71 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.36/0.71 (assume @p11 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.36/0.71 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.36/0.71 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t37)))))))))))))))) % 0.36/0.71 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t37))))))))))))) % 0.36/0.71 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.36/0.71 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.36/0.71 (assume @p17 (tptp.ssList tptp.nil)) % 0.36/0.71 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.36/0.71 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t39))))))))))) % 0.36/0.71 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.36/0.71 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.36/0.71 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.36/0.71 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.36/0.71 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.36/0.71 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.36/0.71 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.36/0.71 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.36/0.71 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.36/0.71 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.36/0.71 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.36/0.71 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.36/0.71 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.36/0.71 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.36/0.71 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.36/0.71 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.36/0.71 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.36/0.71 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.36/0.71 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.36/0.71 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.36/0.71 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.36/0.71 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 @t55) @t3)))))) % 0.36/0.71 (assume @p42 @t57) % 0.36/0.71 (assume @p43 @t64) % 0.36/0.71 (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)))))))))))) % 0.36/0.71 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.36/0.71 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.36/0.71 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.36/0.71 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.36/0.71 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.36/0.71 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t65 @t1))))))))) % 0.36/0.71 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.36/0.71 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.36/0.71 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.36/0.71 (assume @p54 (forall @t9 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cnf_or_neg :args (@t343 3)) % 0.36/0.71 (step @p495 :rule chain_m_resolution :premises (@p494 @p486) :args ((not @t338) @t353 @t354)) % 0.36/0.71 (step @p496 :rule bool-double-not-elim :args (@t334)) % 0.36/0.71 (step @p497 :rule nary_cong :premises (@p488 @p496) :args ((or @t343 (not @t335)))) % 0.36/0.71 (step @p498 :rule cnf_or_neg :args (@t343 5)) % 0.36/0.71 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 0.36/0.71 (step @p500 :rule reordering :premises (@p499) :args ((or @t334 @t343))) % 0.36/0.71 (step @p501 :rule chain_m_resolution :premises (@p500 @p486) :args (@t334 @t353 @t354)) % 0.36/0.71 (step @p502 :rule aci_norm :args ((= @t362 (or @t136 @t360 @t359 @t358 @t357)))) % 0.36/0.71 (step @p503 :rule cong :premises (@p502) :args (@t363)) % 0.36/0.71 (step @p504 :rule quant-merge-prenex :args ((= (forall @t9 @t365) @t363))) % 0.36/0.71 (step @p505 :rule alpha_equiv :args (@t366 (@list @t355 @t356) (@list @t1 @t367))) % 0.36/0.71 (step @p506 :rule nary_cong :premises (@p103 @p505) :args (@t368)) % 0.36/0.71 (step @p507 :rule quant-miniscope-or :args ((= @t365 @t368))) % 0.36/0.71 (step @p508 :rule trans :premises (@p507 @p506)) % 0.36/0.71 (step @p509 :rule symm :premises (@p508)) % 0.36/0.71 (step @p510 :rule cong :premises (@p509) :args ((forall @t9 (or @t136 @t374)))) % 0.36/0.71 (step @p511 :rule trans :premises (@p510 @p504)) % 0.36/0.71 (step @p512 :rule trans :premises (@p511 @p503)) % 0.36/0.71 (step @p513 :rule bool-impl-elim :args (@t17 @t374)) % 0.36/0.71 (step @p514 :rule cong :premises (@p513) :args ((forall @t9 (=> @t17 @t374)))) % 0.36/0.71 (step @p515 :rule trans :premises (@p514 @p512)) % 0.36/0.71 (step @p516 :rule aci_norm :args ((= @t376 @t372))) % 0.36/0.71 (step @p517 :rule cong :premises (@p516) :args (@t377)) % 0.36/0.71 (step @p518 :rule quant-merge-prenex :args ((= (forall @t7 @t379) @t377))) % 0.36/0.71 (step @p519 :rule alpha_equiv :args (@t380 (@list @t367) (@list @t12))) % 0.36/0.71 (step @p520 :rule refl :args (@t371)) % 0.36/0.71 (step @p521 :rule nary_cong :premises (@p149 @p520 @p519) :args (@t381)) % 0.36/0.71 (step @p522 :rule quant-miniscope-or :args ((= @t379 @t381))) % 0.36/0.71 (step @p523 :rule trans :premises (@p522 @p521)) % 0.36/0.71 (step @p524 :rule symm :premises (@p523)) % 0.36/0.71 (step @p525 :rule cong :premises (@p524) :args ((forall @t7 @t384))) % 0.36/0.71 (step @p526 :rule trans :premises (@p525 @p518)) % 0.36/0.71 (step @p527 :rule trans :premises (@p526 @p517)) % 0.36/0.71 (step @p528 :rule aci_norm :args ((= (or @t164 @t385) @t384))) % 0.36/0.71 (step @p529 :rule bool-impl-elim :args (@t21 @t385)) % 0.36/0.71 (step @p530 :rule trans :premises (@p529 @p528)) % 0.36/0.71 (step @p531 :rule cong :premises (@p530) :args ((forall @t7 (=> @t21 @t385)))) % 0.36/0.71 (step @p532 :rule trans :premises (@p531 @p527)) % 0.36/0.71 (step @p533 :rule quant-miniscope-or :args ((= (forall @t16 @t386) @t385))) % 0.36/0.71 (step @p534 :rule aci_norm :args ((= @t387 @t386))) % 0.36/0.71 (step @p535 :rule cong :premises (@p534) :args ((forall @t16 @t387))) % 0.36/0.71 (step @p536 :rule trans :premises (@p535 @p533)) % 0.36/0.71 (step @p537 :rule aci_norm :args ((= (or @t202 (or @t371 @t58)) @t387))) % 0.36/0.71 (step @p538 :rule bool-impl-elim :args (@t20 @t58)) % 0.36/0.71 (step @p539 :rule nary_cong :premises (@p194 @p538) :args ((or @t202 @t59))) % 0.36/0.71 (step @p540 :rule trans :premises (@p539 @p537)) % 0.36/0.71 (step @p541 :rule bool-impl-elim :args (@t15 @t59)) % 0.36/0.71 (step @p542 :rule trans :premises (@p541 @p540)) % 0.36/0.71 (step @p543 :rule cong :premises (@p542) :args (@t60)) % 0.36/0.71 (step @p544 :rule trans :premises (@p543 @p536)) % 0.36/0.71 (step @p545 :rule cong :premises (@p448 @p544) :args (@t61)) % 0.36/0.71 (step @p546 :rule cong :premises (@p545) :args (@t62)) % 0.36/0.71 (step @p547 :rule trans :premises (@p546 @p532)) % 0.36/0.71 (step @p548 :rule cong :premises (@p452 @p547) :args (@t63)) % 0.36/0.71 (step @p549 :rule cong :premises (@p548) :args (@t64)) % 0.36/0.71 (step @p550 :rule trans :premises (@p549 @p515)) % 0.36/0.71 (step @p551 :rule eq_resolve :premises (@p43 @p550)) % 0.36/0.71 (step @p552 :rule instantiate :premises (@p551) :args ((@list @t333 @t333 @t331))) % 0.36/0.71 (step @p553 :rule bool-impl-elim :args (@t17 @t56)) % 0.36/0.71 (step @p554 :rule cong :premises (@p553) :args (@t57)) % 0.36/0.71 (step @p555 :rule eq_resolve :premises (@p42 @p554)) % 0.36/0.71 (step @p556 :rule instantiate :premises (@p555) :args ((@list @t333))) % 0.36/0.71 (step @p557 :rule cnf_or_pos :args (@t389)) % 0.36/0.71 (step @p558 :rule reordering :premises (@p557) :args ((or @t342 @t388 (not @t389)))) % 0.36/0.71 (step @p559 :rule chain_m_resolution :premises (@p558 @p493 @p556) :args (@t388 (@list false false) (@list @t341 @t389))) % 0.36/0.71 (step @p560 :rule cnf_or_pos :args (@t391)) % 0.36/0.71 (step @p561 :rule factoring :premises (@p560)) % 0.36/0.71 (step @p562 :rule reordering :premises (@p561) :args ((or @t342 @t338 @t335 @t390 (not @t391)))) % 0.36/0.71 (step @p563 false :rule chain_m_resolution :premises (@p562 @p559 @p552 @p501 @p495 @p493) :args (false (@list false false false true false) (@list @t388 @t391 @t334 @t338 @t341))) % 0.36/0.71 ) % 0.36/0.71 % SZS output end Proof % 0.36/0.71 % cvc5 exiting %------------------------------------------------------------------------------