%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC322+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 : n008.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 08:58:52 AM UTC 2026 % Result : Theorem 0.51s 0.71s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC322+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:41:18 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.71 % SZS status Theorem % 0.51/0.71 % SZS output start Proof % 0.51/0.71 ( % 0.51/0.71 (declare-sort $$unsorted 0) % 0.51/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.nil $$unsorted) % 0.51/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (define @t1 () (@var "V" $$unsorted)) % 0.51/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.51/0.71 (define @t3 () (= @t2 @t1)) % 0.51/0.71 (define @t4 () (not @t3)) % 0.51/0.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.51/0.71 (define @t6 () (tptp.ssItem @t1)) % 0.51/0.71 (define @t7 () (@list @t1)) % 0.51/0.71 (define @t8 () (tptp.ssItem @t2)) % 0.51/0.71 (define @t9 () (@list @t2)) % 0.51/0.71 (define @t10 () (@var "X" $$unsorted)) % 0.51/0.71 (define @t11 () (tptp.cons @t1 @t10)) % 0.51/0.71 (define @t12 () (@var "W" $$unsorted)) % 0.51/0.71 (define @t13 () (tptp.ssList @t10)) % 0.51/0.71 (define @t14 () (@list @t10)) % 0.51/0.71 (define @t15 () (tptp.ssList @t12)) % 0.51/0.71 (define @t16 () (@list @t12)) % 0.51/0.71 (define @t17 () (tptp.ssList @t2)) % 0.51/0.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.51/0.71 (define @t19 () (tptp.app @t1 @t12)) % 0.51/0.71 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.51/0.71 (define @t21 () (tptp.ssList @t1)) % 0.51/0.71 (define @t22 () (tptp.app @t12 @t1)) % 0.51/0.71 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.51/0.71 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.51/0.71 (define @t25 () (tptp.leq @t12 @t1)) % 0.51/0.71 (define @t26 () (tptp.leq @t1 @t12)) % 0.51/0.71 (define @t27 () (@var "Z" $$unsorted)) % 0.51/0.71 (define @t28 () (@var "Y" $$unsorted)) % 0.51/0.71 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.51/0.71 (define @t30 () (tptp.ssList @t27)) % 0.51/0.71 (define @t31 () (@list @t27)) % 0.51/0.71 (define @t32 () (tptp.ssList @t28)) % 0.51/0.71 (define @t33 () (@list @t28)) % 0.51/0.71 (define @t34 () (tptp.ssItem @t12)) % 0.51/0.71 (define @t35 () (tptp.lt @t1 @t12)) % 0.51/0.71 (define @t36 () (= @t1 @t12)) % 0.51/0.71 (define @t37 () (tptp.cons @t1 @t2)) % 0.51/0.71 (define @t38 () (= @t1 @t2)) % 0.51/0.71 (define @t39 () (tptp.cons @t12 @t1)) % 0.51/0.71 (define @t40 () (= tptp.nil @t2)) % 0.51/0.71 (define @t41 () (tptp.hd @t2)) % 0.51/0.71 (define @t42 () (not @t40)) % 0.51/0.71 (define @t43 () (tptp.tl @t2)) % 0.51/0.71 (define @t44 () (tptp.app @t2 @t1)) % 0.51/0.71 (define @t45 () (tptp.app @t1 @t2)) % 0.51/0.71 (define @t46 () (tptp.leq @t1 @t2)) % 0.51/0.71 (define @t47 () (tptp.leq @t2 @t1)) % 0.51/0.71 (define @t48 () (tptp.geq @t2 @t1)) % 0.51/0.71 (define @t49 () (tptp.lt @t1 @t2)) % 0.51/0.71 (define @t50 () (tptp.lt @t2 @t1)) % 0.51/0.71 (define @t51 () (tptp.lt @t2 @t12)) % 0.51/0.71 (define @t52 () (tptp.gt @t2 @t1)) % 0.51/0.71 (define @t53 () (tptp.memberP @t12 @t2)) % 0.51/0.71 (define @t54 () (tptp.app @t12 @t2)) % 0.51/0.71 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.51/0.71 (define @t56 () (tptp.hd @t1)) % 0.51/0.71 (define @t57 () (= tptp.nil @t1)) % 0.51/0.71 (define @t58 () (not @t57)) % 0.51/0.71 (define @t59 () (tptp.cons @t2 @t1)) % 0.51/0.71 (define @t60 () (= @t12 @t2)) % 0.51/0.71 (define @t61 () (or @t58 @t40)) % 0.51/0.71 (define @t62 () (@var "X2" $$unsorted)) % 0.51/0.71 (define @t63 () (@var "X1" $$unsorted)) % 0.51/0.71 (define @t64 () (tptp.cons @t63 tptp.nil)) % 0.51/0.71 (define @t65 () (tptp.app @t64 @t62)) % 0.51/0.71 (define @t66 () (tptp.app @t62 @t64)) % 0.51/0.71 (define @t67 () (not (= @t66 @t1))) % 0.51/0.71 (define @t68 () (or @t67 (= @t65 @t2))) % 0.51/0.71 (define @t69 () (tptp.ssList @t62)) % 0.51/0.71 (define @t70 () (=> @t69 @t68)) % 0.51/0.71 (define @t71 () (@list @t62)) % 0.51/0.71 (define @t72 () (forall @t71 @t70)) % 0.51/0.71 (define @t73 () (tptp.ssItem @t63)) % 0.51/0.71 (define @t74 () (=> @t73 @t72)) % 0.51/0.71 (define @t75 () (@list @t63)) % 0.51/0.71 (define @t76 () (forall @t75 @t74)) % 0.51/0.71 (define @t77 () (and @t76 @t61)) % 0.51/0.71 (define @t78 () (not (= tptp.nil @t12))) % 0.51/0.71 (define @t79 () (and @t78 (= tptp.nil @t10))) % 0.51/0.71 (define @t80 () (tptp.cons @t28 tptp.nil)) % 0.51/0.71 (define @t81 () (tptp.app @t27 @t80)) % 0.51/0.71 (define @t82 () (tptp.app @t80 @t27)) % 0.51/0.71 (define @t83 () (not (= @t82 @t12))) % 0.51/0.71 (define @t84 () (and @t30 @t83 (= @t81 @t10))) % 0.51/0.71 (define @t85 () (exists @t31 @t84)) % 0.51/0.71 (define @t86 () (tptp.ssItem @t28)) % 0.51/0.71 (define @t87 () (and @t86 @t85)) % 0.51/0.71 (define @t88 () (exists @t33 @t87)) % 0.51/0.71 (define @t89 () (not (= @t2 @t12))) % 0.51/0.71 (define @t90 () (not (= @t1 @t10))) % 0.51/0.71 (define @t91 () (or @t90 @t89 @t88 @t79 @t77)) % 0.51/0.71 (define @t92 () (=> @t13 @t91)) % 0.51/0.71 (define @t93 () (forall @t14 @t92)) % 0.51/0.71 (define @t94 () (=> @t15 @t93)) % 0.51/0.71 (define @t95 () (forall @t16 @t94)) % 0.51/0.71 (define @t96 () (=> @t21 @t95)) % 0.51/0.71 (define @t97 () (forall @t7 @t96)) % 0.51/0.71 (define @t98 () (=> @t17 @t97)) % 0.51/0.71 (define @t99 () (forall @t9 @t98)) % 0.51/0.71 (define @t100 () (not @t99)) % 0.51/0.71 (define @t101 () (@var "BOUND_VARIABLE_11083" $$unsorted)) % 0.51/0.71 (define @t102 () (= @t2 tptp.nil)) % 0.51/0.71 (define @t103 () (not @t102)) % 0.51/0.71 (define @t104 () (= @t101 tptp.nil)) % 0.51/0.71 (define @t105 () (and @t103 @t104)) % 0.51/0.71 (define @t106 () (@var "BOUND_VARIABLE_10964" $$unsorted)) % 0.51/0.71 (define @t107 () (tptp.app @t106 @t80)) % 0.51/0.71 (define @t108 () (not (= @t101 @t107))) % 0.51/0.71 (define @t109 () (tptp.app @t80 @t106)) % 0.51/0.71 (define @t110 () (= @t2 @t109)) % 0.51/0.71 (define @t111 () (not (tptp.ssList @t106))) % 0.51/0.71 (define @t112 () (not @t86)) % 0.51/0.71 (define @t113 () (or @t112 @t111 @t110 @t108)) % 0.51/0.71 (define @t114 () (@list @t28 @t106)) % 0.51/0.71 (define @t115 () (forall @t114 @t113)) % 0.51/0.71 (define @t116 () (not @t115)) % 0.51/0.71 (define @t117 () (not @t104)) % 0.51/0.71 (define @t118 () (or @t117 @t102)) % 0.51/0.71 (define @t119 () (@var "BOUND_VARIABLE_11087" $$unsorted)) % 0.51/0.71 (define @t120 () (@var "BOUND_VARIABLE_11085" $$unsorted)) % 0.51/0.71 (define @t121 () (tptp.cons @t120 tptp.nil)) % 0.51/0.71 (define @t122 () (or (not (tptp.ssItem @t120)) (not (tptp.ssList @t119)) (not (= @t101 (tptp.app @t119 @t121))) (= @t2 (tptp.app @t121 @t119)))) % 0.51/0.71 (define @t123 () (and @t122 @t118)) % 0.51/0.71 (define @t124 () (not (tptp.ssList @t101))) % 0.51/0.71 (define @t125 () (not @t17)) % 0.51/0.71 (define @t126 () (or @t125 @t124 @t123 @t116 @t105)) % 0.51/0.71 (define @t127 () (or @t124 @t123 @t116 @t105)) % 0.51/0.71 (define @t128 () (or @t125 @t127)) % 0.51/0.71 (define @t129 () (@list @t2 @t101 @t120 @t119)) % 0.51/0.71 (define @t130 () (forall @t129 @t128)) % 0.51/0.71 (define @t131 () (@list @t101 @t120 @t119)) % 0.51/0.71 (define @t132 () (forall @t131 @t128)) % 0.51/0.71 (define @t133 () (forall @t131 @t127)) % 0.51/0.71 (define @t134 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 0.51/0.71 (define @t135 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 0.51/0.71 (define @t136 () (or @t125 @t133)) % 0.51/0.71 (define @t137 () (= @t1 tptp.nil)) % 0.51/0.71 (define @t138 () (and @t103 @t137)) % 0.51/0.71 (define @t139 () (not (= @t1 @t107))) % 0.51/0.71 (define @t140 () (not (forall @t114 (or @t112 @t111 @t110 @t139)))) % 0.51/0.71 (define @t141 () (or (not @t137) @t102)) % 0.51/0.71 (define @t142 () (tptp.cons @t135 tptp.nil)) % 0.51/0.71 (define @t143 () (or (not (tptp.ssItem @t135)) (not (tptp.ssList @t134)) (not (= @t1 (tptp.app @t134 @t142))) (= @t2 (tptp.app @t142 @t134)))) % 0.51/0.71 (define @t144 () (and @t143 @t141)) % 0.51/0.71 (define @t145 () (not @t21)) % 0.51/0.71 (define @t146 () (or @t145 @t144 @t140 @t138)) % 0.51/0.71 (define @t147 () (forall (@list @t1 @t135 @t134) @t146)) % 0.51/0.71 (define @t148 () (or @t125 @t147)) % 0.51/0.71 (define @t149 () (@list @t135 @t134)) % 0.51/0.71 (define @t150 () (forall @t149 @t146)) % 0.51/0.71 (define @t151 () (forall @t149 @t141)) % 0.51/0.71 (define @t152 () (forall @t149 @t143)) % 0.51/0.71 (define @t153 () (@var "BOUND_VARIABLE_10998" $$unsorted)) % 0.51/0.71 (define @t154 () (and @t152 @t151)) % 0.51/0.71 (define @t155 () (forall @t149 @t144)) % 0.51/0.71 (define @t156 () (or @t145 @t155 @t140 @t138)) % 0.51/0.71 (define @t157 () (= @t2 (tptp.app @t64 @t153))) % 0.51/0.71 (define @t158 () (not (= @t1 (tptp.app @t153 @t64)))) % 0.51/0.71 (define @t159 () (not (tptp.ssList @t153))) % 0.51/0.71 (define @t160 () (not @t73)) % 0.51/0.71 (define @t161 () (or @t160 @t159 @t158 @t157)) % 0.51/0.71 (define @t162 () (@list @t63 @t153)) % 0.51/0.71 (define @t163 () (and (forall @t162 @t161) @t141)) % 0.51/0.71 (define @t164 () (or @t145 @t163 @t140 @t138)) % 0.51/0.71 (define @t165 () (forall @t7 @t164)) % 0.51/0.71 (define @t166 () (or @t125 @t165)) % 0.51/0.71 (define @t167 () (or @t125 @t164)) % 0.51/0.71 (define @t168 () (or @t145 @t163 @t125 @t140 @t138)) % 0.51/0.71 (define @t169 () (or @t163 @t145 @t125 @t140 @t138)) % 0.51/0.71 (define @t170 () (or @t125 @t140 @t138)) % 0.51/0.71 (define @t171 () (not (= @t2 @t2))) % 0.51/0.71 (define @t172 () (or @t125 @t171 @t140 @t138)) % 0.51/0.71 (define @t173 () (not (= @t12 tptp.nil))) % 0.51/0.71 (define @t174 () (and @t173 @t137)) % 0.51/0.71 (define @t175 () (= @t12 @t109)) % 0.51/0.71 (define @t176 () (not (forall @t114 (or @t112 @t111 @t175 @t139)))) % 0.51/0.71 (define @t177 () (not @t15)) % 0.51/0.71 (define @t178 () (or @t89 @t177 @t89 @t176 @t174)) % 0.51/0.71 (define @t179 () (or @t177 @t89 @t176 @t174)) % 0.51/0.71 (define @t180 () (forall @t16 @t179)) % 0.51/0.71 (define @t181 () (or @t163 @t145 @t180)) % 0.51/0.71 (define @t182 () (or @t163 @t145 @t179)) % 0.51/0.71 (define @t183 () (or @t177 @t89 @t163 @t145 @t176 @t174)) % 0.51/0.71 (define @t184 () (or @t89 @t163 @t145 @t176 @t174)) % 0.51/0.71 (define @t185 () (or @t145 @t176 @t174)) % 0.51/0.71 (define @t186 () (not (= @t1 @t1))) % 0.51/0.71 (define @t187 () (or @t145 @t186 @t176 @t174)) % 0.51/0.71 (define @t188 () (and @t173 (= @t10 tptp.nil))) % 0.51/0.71 (define @t189 () (not (= @t10 @t107))) % 0.51/0.71 (define @t190 () (or @t112 @t111 @t175 @t189)) % 0.51/0.71 (define @t191 () (not (forall @t114 @t190))) % 0.51/0.71 (define @t192 () (not @t13)) % 0.51/0.71 (define @t193 () (or @t90 @t192 @t90 @t191 @t188)) % 0.51/0.71 (define @t194 () (or @t192 @t90 @t191 @t188)) % 0.51/0.71 (define @t195 () (forall @t14 @t194)) % 0.51/0.71 (define @t196 () (or @t89 @t163 @t195)) % 0.51/0.71 (define @t197 () (or @t89 @t163 @t194)) % 0.51/0.71 (define @t198 () (or @t192 @t90 @t89 @t191 @t188 @t163)) % 0.51/0.71 (define @t199 () (or @t90 @t89 @t191 @t188 @t163)) % 0.51/0.71 (define @t200 () (or @t159 @t158 @t157)) % 0.51/0.71 (define @t201 () (or @t160 @t200)) % 0.51/0.71 (define @t202 () (forall @t162 @t201)) % 0.51/0.71 (define @t203 () (@list @t153)) % 0.51/0.71 (define @t204 () (forall @t203 @t201)) % 0.51/0.71 (define @t205 () (forall @t203 @t200)) % 0.51/0.71 (define @t206 () (or @t160 @t205)) % 0.51/0.71 (define @t207 () (= @t2 @t65)) % 0.51/0.71 (define @t208 () (not (= @t1 @t66))) % 0.51/0.71 (define @t209 () (not @t69)) % 0.51/0.71 (define @t210 () (or @t209 @t208 @t207)) % 0.51/0.71 (define @t211 () (forall @t71 @t210)) % 0.51/0.71 (define @t212 () (or @t208 @t207)) % 0.51/0.71 (define @t213 () (or @t111 @t175 @t189)) % 0.51/0.71 (define @t214 () (or @t112 @t213)) % 0.51/0.71 (define @t215 () (forall @t114 @t214)) % 0.51/0.71 (define @t216 () (@list @t106)) % 0.51/0.71 (define @t217 () (forall @t216 @t214)) % 0.51/0.71 (define @t218 () (forall @t216 @t213)) % 0.51/0.71 (define @t219 () (or @t112 @t218)) % 0.51/0.71 (define @t220 () (= @t10 @t81)) % 0.51/0.71 (define @t221 () (not @t220)) % 0.51/0.71 (define @t222 () (= @t12 @t82)) % 0.51/0.71 (define @t223 () (not @t30)) % 0.51/0.71 (define @t224 () (forall @t31 (or @t223 @t222 @t221))) % 0.51/0.71 (define @t225 () (not @t224)) % 0.51/0.71 (define @t226 () (and @t86 @t225)) % 0.51/0.71 (define @t227 () (forall @t33 (not @t226))) % 0.51/0.71 (define @t228 () (not @t227)) % 0.51/0.71 (define @t229 () (not @t222)) % 0.51/0.71 (define @t230 () (not @t229)) % 0.51/0.71 (define @t231 () (or @t223 @t230 @t221)) % 0.51/0.71 (define @t232 () (and @t30 @t229 @t220)) % 0.51/0.71 (define @t233 () (forall @t31 (not @t232))) % 0.51/0.71 (define @t234 () (not @t233)) % 0.51/0.71 (define @t235 () (= tptp.nil @t101)) % 0.51/0.71 (define @t236 () (forall @t129 (or @t125 @t124 (and @t122 (or (not @t235) @t102)) (not (forall @t114 (or @t112 @t111 @t110 (not (= @t107 @t101))))) (and @t103 @t235)))) % 0.51/0.71 (define @t237 () (@quantifiers_skolemize @t236 1)) % 0.51/0.71 (define @t238 () (= tptp.nil @t237)) % 0.51/0.71 (define @t239 () (@quantifiers_skolemize @t236 0)) % 0.51/0.71 (define @t240 () (= tptp.nil @t239)) % 0.51/0.71 (define @t241 () (not @t240)) % 0.51/0.71 (define @t242 () (and @t241 @t238)) % 0.51/0.71 (define @t243 () (not (= @t107 @t237))) % 0.51/0.71 (define @t244 () (forall @t114 (or @t112 @t111 (= @t109 @t239) @t243))) % 0.51/0.71 (define @t245 () (not @t244)) % 0.51/0.71 (define @t246 () (not @t238)) % 0.51/0.71 (define @t247 () (or @t246 @t240)) % 0.51/0.71 (define @t248 () (@quantifiers_skolemize @t236 3)) % 0.51/0.71 (define @t249 () (@quantifiers_skolemize @t236 2)) % 0.51/0.71 (define @t250 () (tptp.cons @t249 tptp.nil)) % 0.51/0.71 (define @t251 () (tptp.app @t250 @t248)) % 0.51/0.71 (define @t252 () (= @t239 @t251)) % 0.51/0.71 (define @t253 () (tptp.app @t248 @t250)) % 0.51/0.71 (define @t254 () (= @t237 @t253)) % 0.51/0.71 (define @t255 () (not @t254)) % 0.51/0.71 (define @t256 () (tptp.ssList @t248)) % 0.51/0.71 (define @t257 () (not @t256)) % 0.51/0.71 (define @t258 () (tptp.ssItem @t249)) % 0.51/0.71 (define @t259 () (not @t258)) % 0.51/0.71 (define @t260 () (or @t259 @t257 @t255 @t252)) % 0.51/0.71 (define @t261 () (and @t260 @t247)) % 0.51/0.71 (define @t262 () (not (tptp.ssList @t237))) % 0.51/0.71 (define @t263 () (not (tptp.ssList @t239))) % 0.51/0.71 (define @t264 () (or @t263 @t262 @t261 @t245 @t242)) % 0.51/0.71 (define @t265 () (not @t264)) % 0.51/0.71 (define @t266 () (not @t236)) % 0.51/0.71 (define @t267 () (= @t239 tptp.nil)) % 0.51/0.71 (define @t268 () (not @t267)) % 0.51/0.71 (define @t269 () (and @t268 @t238)) % 0.51/0.71 (define @t270 () (or @t112 @t111 (= @t239 @t109) @t243)) % 0.51/0.71 (define @t271 () (forall @t114 @t270)) % 0.51/0.71 (define @t272 () (not @t271)) % 0.51/0.71 (define @t273 () (or @t246 @t267)) % 0.51/0.71 (define @t274 () (and @t260 @t273)) % 0.51/0.71 (define @t275 () (or @t263 @t262 @t274 @t272 @t269)) % 0.51/0.71 (define @t276 () (not @t275)) % 0.51/0.71 (define @t277 () (@list true)) % 0.51/0.71 (define @t278 () (@list @t264)) % 0.51/0.71 (define @t279 () (@list true false)) % 0.51/0.71 (define @t280 () (@list @t260)) % 0.51/0.71 (define @t281 () (or @t259 @t257 @t252 @t255)) % 0.51/0.71 (define @t282 () (not @t281)) % 0.51/0.71 (define @t283 () (not (= @t253 @t237))) % 0.51/0.71 (define @t284 () (or @t259 @t257 (= @t251 @t239) @t283)) % 0.51/0.71 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.51/0.71 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.51/0.71 (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))))))))))) % 0.51/0.71 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.51/0.71 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.51/0.71 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.51/0.71 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.51/0.71 (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))))))))))))))))) % 0.51/0.71 (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)))))))))))))))) % 0.51/0.71 (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))))))))))))))))) % 0.51/0.71 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.51/0.71 (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))))))))))))))) % 0.51/0.71 (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 @t36)))))))))))))))) % 0.51/0.71 (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) @t36))))))))))))) % 0.51/0.71 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.51/0.71 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.51/0.71 (assume @p17 (tptp.ssList tptp.nil)) % 0.51/0.71 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.51/0.71 (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) @t38))))))))))) % 0.51/0.71 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.51/0.71 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.51/0.71 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.51/0.71 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.51/0.71 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.51/0.71 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.51/0.71 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.51/0.71 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.51/0.71 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.51/0.71 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.51/0.71 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.51/0.71 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.51/0.71 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.51/0.71 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.51/0.71 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.51/0.71 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.51/0.71 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.51/0.71 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.51/0.71 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.51/0.71 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.51/0.71 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.51/0.71 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.51/0.71 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.51/0.71 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.51/0.71 (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)))))))))))) % 0.51/0.71 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.51/0.71 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.51/0.71 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.51/0.71 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.51/0.71 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.51/0.71 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.51/0.71 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.51/0.71 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.51/0.71 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.51/0.71 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.51/0.71 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.51/0.71 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.51/0.71 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.51/0.71 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.51/0.71 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.51/0.71 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.51/0.71 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.51/0.71 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.51/0.71 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.51/0.71 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.51/0.71 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.51/0.71 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.51/0.71 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.51/0.71 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.51/0.71 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.51/0.71 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.51/0.71 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.51/0.71 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.51/0.71 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.51/0.71 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.51/0.71 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.51/0.71 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.51/0.71 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.51/0.71 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.51/0.71 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.51/0.71 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.51/0.71 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.51/0.71 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.51/0.71 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.51/0.71 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.51/0.71 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.51/0.71 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.51/0.71 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.51/0.71 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.51/0.71 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.51/0.71 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.51/0.71 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.51/0.71 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.51/0.71 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.51/0.71 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.51/0.71 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.51/0.71 (assume @p96 @t100) % 0.51/0.71 (assume @p97 true) % 0.51/0.71 (step @p98 :rule eq-symm :args 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0.51/0.71 (step @p364 :rule process_scope :premises (@p436) :args (@t276)) % 0.51/0.71 (step @p366 :rule eq_resolve :premises (@p364 @p361)) % 0.51/0.71 (step @p367 :rule implies_elim :premises (@p366)) % 0.51/0.71 (step @p368 :rule eq_resolve :premises (@p367 @p342)) % 0.51/0.71 (step @p369 :rule chain_m_resolution :premises (@p368 @p339) :args (@t265 @t277 (@list @t236))) % 0.51/0.71 (step @p370 :rule bool-double-not-elim :args (@t244)) % 0.51/0.71 (step @p371 :rule refl :args (@t264)) % 0.51/0.71 (step @p372 :rule nary_cong :premises (@p371 @p370) :args ((or @t264 (not @t245)))) % 0.51/0.71 (step @p373 :rule cnf_or_neg :args (@t264 3)) % 0.51/0.71 (step @p374 :rule eq_resolve :premises (@p373 @p372)) % 0.51/0.71 (step @p375 :rule reordering :premises (@p374) :args ((or @t244 @t264))) % 0.51/0.71 (step @p376 :rule chain_m_resolution :premises (@p375 @p369) :args (@t244 @t277 @t278)) % 0.51/0.71 (step @p377 :rule bool-double-not-elim :args (@t238)) % 0.51/0.71 (step @p378 :rule refl :args (@t247)) % 0.51/0.71 (step @p379 :rule nary_cong :premises (@p378 @p377) :args ((or @t247 (not @t246)))) % 0.51/0.71 (step @p380 :rule cnf_or_neg :args (@t247 0)) % 0.51/0.71 (step @p381 :rule eq_resolve :premises (@p380 @p379)) % 0.51/0.71 (step @p382 :rule reordering :premises (@p381) :args ((or @t238 @t247))) % 0.51/0.71 (step @p383 :rule cnf_or_neg :args (@t247 1)) % 0.51/0.71 (step @p384 :rule cnf_or_neg :args (@t264 4)) % 0.51/0.71 (step @p385 :rule chain_m_resolution :premises (@p384 @p369) :args ((not @t242) @t277 @t278)) % 0.51/0.71 (step @p386 :rule bool-double-not-elim :args (@t240)) % 0.51/0.71 (step @p387 :rule refl :args (@t242)) % 0.51/0.71 (step @p388 :rule nary_cong :premises (@p387 @p386 @p352) :args ((or @t242 (not @t241) @t246))) % 0.51/0.71 (step @p389 :rule cnf_and_neg :args (@t242)) % 0.51/0.71 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 0.51/0.71 (step @p391 :rule reordering :premises (@p390) :args ((or @t246 @t240 @t242))) % 0.51/0.71 (step @p392 :rule chain_m_resolution :premises (@p391 @p385 @p383 @p382) :args (@t247 (@list true true false) (@list @t242 @t240 @t238))) % 0.51/0.71 (step @p393 :rule cnf_or_neg :args (@t264 2)) % 0.51/0.71 (step @p394 :rule chain_m_resolution :premises (@p393 @p369) :args ((not @t261) @t277 @t278)) % 0.51/0.71 (step @p395 :rule cnf_and_neg :args (@t261)) % 0.51/0.71 (step @p396 :rule chain_m_resolution :premises (@p395 @p394 @p392) :args ((not @t260) @t279 (@list @t261 @t247))) % 0.51/0.71 (step @p397 :rule cnf_or_neg :args (@t260 3)) % 0.51/0.71 (step @p398 :rule chain_m_resolution :premises (@p397 @p396) :args ((not @t252) @t277 @t280)) % 0.51/0.71 (step @p399 :rule bool-double-not-elim :args (@t254)) % 0.51/0.71 (step @p400 :rule nary_cong :premises (@p354 @p399) :args ((or @t260 (not @t255)))) % 0.51/0.71 (step @p401 :rule cnf_or_neg :args (@t260 2)) % 0.51/0.71 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 0.51/0.71 (step @p403 :rule reordering :premises (@p402) :args ((or @t254 @t260))) % 0.51/0.71 (step @p404 :rule chain_m_resolution :premises (@p403 @p396) :args (@t254 @t277 @t280)) % 0.51/0.71 (step @p405 :rule bool-double-not-elim :args (@t256)) % 0.51/0.71 (step @p406 :rule nary_cong :premises (@p354 @p405) :args ((or @t260 (not @t257)))) % 0.51/0.71 (step @p407 :rule cnf_or_neg :args (@t260 1)) % 0.51/0.71 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 0.51/0.71 (step @p409 :rule reordering :premises (@p408) :args ((or @t256 @t260))) % 0.51/0.71 (step @p410 :rule chain_m_resolution :premises (@p409 @p396) :args (@t256 @t277 @t280)) % 0.51/0.71 (step @p411 :rule bool-double-not-elim :args (@t258)) % 0.51/0.71 (step @p412 :rule nary_cong :premises (@p354 @p411) :args ((or @t260 (not @t259)))) % 0.51/0.71 (step @p413 :rule cnf_or_neg :args (@t260 0)) % 0.51/0.71 (step @p414 :rule eq_resolve :premises (@p413 @p412)) % 0.51/0.71 (step @p415 :rule reordering :premises (@p414) :args ((or @t258 @t260))) % 0.51/0.71 (step @p416 :rule chain_m_resolution :premises (@p415 @p396) :args (@t258 @t277 @t280)) % 0.51/0.71 (step @p417 :rule cnf_or_pos :args (@t281)) % 0.51/0.71 (step @p418 :rule reordering :premises (@p417) :args ((or @t259 @t257 @t255 @t252 @t282))) % 0.51/0.71 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p410 @p404 @p398) :args (@t282 (@list false false false true) (@list @t258 @t256 @t254 @t252))) % 0.51/0.71 (step @p420 :rule eq-symm :args (@t253 @t237)) % 0.51/0.71 (step @p421 :rule cong :premises (@p420) :args (@t283)) % 0.51/0.71 (step @p422 :rule eq-symm :args (@t251 @t239)) % 0.51/0.71 (step @p423 :rule refl :args (@t257)) % 0.51/0.71 (step @p424 :rule refl :args (@t259)) % 0.51/0.71 (step @p425 :rule nary_cong :premises (@p424 @p423 @p422 @p421) :args (@t284)) % 0.51/0.71 (step @p426 :rule refl :args (@t244)) % 0.51/0.71 (step @p427 :rule cong :premises (@p426 @p425) :args ((=> @t244 @t284))) % 0.51/0.71 (assume-push @p437 @t244) % 0.51/0.71 (step @p429 :rule instantiate :premises (@p376) :args ((@list @t249 @t248))) % 0.51/0.71 (step-pop @p438 :rule scope :premises (@p429)) % 0.51/0.71 (step @p430 :rule process_scope :premises (@p438) :args (@t284)) % 0.51/0.71 (step @p432 :rule eq_resolve :premises (@p430 @p427)) % 0.51/0.71 (step @p433 :rule implies_elim :premises (@p432)) % 0.51/0.71 (step @p434 false :rule chain_m_resolution :premises (@p433 @p419 @p376) :args (false @t279 (@list @t281 @t244))) % 0.51/0.71 ) % 0.51/0.71 % SZS output end Proof % 0.51/0.71 % cvc5 exiting %------------------------------------------------------------------------------