%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC032+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 : n003.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 08:57:46 AM UTC 2026 % Result : Theorem 0.39s 0.77s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWC032+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n003.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 19:10:29 EDT 2026 % 0.17/0.36 % CPUTime : % 0.34/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.77 % SZS status Theorem % 0.39/0.77 % SZS output start Proof % 0.39/0.77 ( % 0.39/0.77 (declare-sort $$unsorted 0) % 0.39/0.77 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.77 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.77 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.77 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.77 (declare-const tptp.nil $$unsorted) % 0.39/0.77 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (define @t1 () (@var "V" $$unsorted)) % 0.39/0.77 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.77 (define @t3 () (= @t2 @t1)) % 0.39/0.77 (define @t4 () (not @t3)) % 0.39/0.77 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.39/0.77 (define @t6 () (tptp.ssItem @t1)) % 0.39/0.77 (define @t7 () (@list @t1)) % 0.39/0.77 (define @t8 () (tptp.ssItem @t2)) % 0.39/0.77 (define @t9 () (@list @t2)) % 0.39/0.77 (define @t10 () (@var "X" $$unsorted)) % 0.39/0.77 (define @t11 () (tptp.cons @t1 @t10)) % 0.39/0.77 (define @t12 () (@var "W" $$unsorted)) % 0.39/0.77 (define @t13 () (tptp.ssList @t10)) % 0.39/0.77 (define @t14 () (@list @t10)) % 0.39/0.77 (define @t15 () (tptp.ssList @t12)) % 0.39/0.77 (define @t16 () (@list @t12)) % 0.39/0.77 (define @t17 () (tptp.ssList @t2)) % 0.39/0.77 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.39/0.77 (define @t19 () (tptp.app @t1 @t12)) % 0.39/0.77 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.39/0.77 (define @t21 () (tptp.ssList @t1)) % 0.39/0.77 (define @t22 () (tptp.app @t12 @t1)) % 0.39/0.77 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.39/0.77 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.39/0.77 (define @t25 () (tptp.leq @t12 @t1)) % 0.39/0.77 (define @t26 () (tptp.leq @t1 @t12)) % 0.39/0.77 (define @t27 () (@var "Z" $$unsorted)) % 0.39/0.77 (define @t28 () (@var "Y" $$unsorted)) % 0.39/0.77 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.39/0.77 (define @t30 () (tptp.ssList @t27)) % 0.39/0.77 (define @t31 () (@list @t27)) % 0.39/0.77 (define @t32 () (tptp.ssList @t28)) % 0.39/0.77 (define @t33 () (@list @t28)) % 0.39/0.77 (define @t34 () (tptp.ssItem @t12)) % 0.39/0.77 (define @t35 () (tptp.lt @t1 @t12)) % 0.39/0.77 (define @t36 () (tptp.strictorderedP @t2)) % 0.39/0.77 (define @t37 () (= @t1 @t12)) % 0.39/0.77 (define @t38 () (tptp.cons @t1 @t2)) % 0.39/0.77 (define @t39 () (= @t1 @t2)) % 0.39/0.77 (define @t40 () (tptp.cons @t12 @t1)) % 0.39/0.77 (define @t41 () (= tptp.nil @t2)) % 0.39/0.77 (define @t42 () (tptp.hd @t2)) % 0.39/0.77 (define @t43 () (not @t41)) % 0.39/0.77 (define @t44 () (tptp.tl @t2)) % 0.39/0.77 (define @t45 () (tptp.app @t2 @t1)) % 0.39/0.77 (define @t46 () (tptp.app @t1 @t2)) % 0.39/0.77 (define @t47 () (tptp.leq @t1 @t2)) % 0.39/0.77 (define @t48 () (tptp.leq @t2 @t1)) % 0.39/0.77 (define @t49 () (tptp.geq @t2 @t1)) % 0.39/0.77 (define @t50 () (tptp.lt @t1 @t2)) % 0.39/0.77 (define @t51 () (tptp.lt @t2 @t1)) % 0.39/0.77 (define @t52 () (tptp.lt @t2 @t12)) % 0.39/0.77 (define @t53 () (tptp.gt @t2 @t1)) % 0.39/0.77 (define @t54 () (tptp.memberP @t12 @t2)) % 0.39/0.77 (define @t55 () (tptp.app @t12 @t2)) % 0.39/0.77 (define @t56 () (tptp.cons @t2 tptp.nil)) % 0.39/0.77 (define @t57 () (tptp.hd @t1)) % 0.39/0.77 (define @t58 () (= tptp.nil @t1)) % 0.39/0.77 (define @t59 () (not @t58)) % 0.39/0.77 (define @t60 () (tptp.cons @t2 @t1)) % 0.39/0.77 (define @t61 () (= @t12 @t2)) % 0.39/0.77 (define @t62 () (and @t58 @t41)) % 0.39/0.77 (define @t63 () (= tptp.nil @t45)) % 0.39/0.77 (define @t64 () (= @t63 @t62)) % 0.39/0.77 (define @t65 () (=> @t21 @t64)) % 0.39/0.77 (define @t66 () (forall @t7 @t65)) % 0.39/0.77 (define @t67 () (=> @t17 @t66)) % 0.39/0.77 (define @t68 () (forall @t9 @t67)) % 0.39/0.77 (define @t69 () (or @t43 @t58)) % 0.39/0.77 (define @t70 () (or @t59 @t41)) % 0.39/0.77 (define @t71 () (and @t70 @t69)) % 0.39/0.77 (define @t72 () (not (= tptp.nil @t10))) % 0.39/0.77 (define @t73 () (and @t72 (= tptp.nil @t12))) % 0.39/0.77 (define @t74 () (@var "X2" $$unsorted)) % 0.39/0.77 (define @t75 () (tptp.lt @t74 @t27)) % 0.39/0.77 (define @t76 () (tptp.cons @t74 tptp.nil)) % 0.39/0.77 (define @t77 () (@var "X3" $$unsorted)) % 0.39/0.77 (define @t78 () (tptp.app @t77 @t76)) % 0.39/0.77 (define @t79 () (tptp.ssList @t77)) % 0.39/0.77 (define @t80 () (and @t79 (= @t78 @t12) @t75)) % 0.39/0.77 (define @t81 () (@list @t77)) % 0.39/0.77 (define @t82 () (exists @t81 @t80)) % 0.39/0.77 (define @t83 () (tptp.ssItem @t74)) % 0.39/0.77 (define @t84 () (and @t83 @t82)) % 0.39/0.77 (define @t85 () (@list @t74)) % 0.39/0.77 (define @t86 () (exists @t85 @t84)) % 0.39/0.77 (define @t87 () (@var "X1" $$unsorted)) % 0.39/0.77 (define @t88 () (tptp.cons @t27 tptp.nil)) % 0.39/0.77 (define @t89 () (tptp.app @t88 @t87)) % 0.39/0.77 (define @t90 () (tptp.ssList @t87)) % 0.39/0.77 (define @t91 () (and @t90 (= @t89 @t28) @t86)) % 0.39/0.77 (define @t92 () (@list @t87)) % 0.39/0.77 (define @t93 () (exists @t92 @t91)) % 0.39/0.77 (define @t94 () (tptp.ssItem @t27)) % 0.39/0.77 (define @t95 () (and @t94 @t93)) % 0.39/0.77 (define @t96 () (exists @t31 @t95)) % 0.39/0.77 (define @t97 () (not (tptp.strictorderedP @t12))) % 0.39/0.77 (define @t98 () (tptp.app @t12 @t28)) % 0.39/0.77 (define @t99 () (not (= @t98 @t10))) % 0.39/0.77 (define @t100 () (or @t99 @t97 @t96)) % 0.39/0.77 (define @t101 () (=> @t32 @t100)) % 0.39/0.77 (define @t102 () (forall @t33 @t101)) % 0.39/0.77 (define @t103 () (not (= @t2 @t12))) % 0.39/0.77 (define @t104 () (not (= @t1 @t10))) % 0.39/0.77 (define @t105 () (or @t104 @t103 @t102 @t73 @t71)) % 0.39/0.77 (define @t106 () (=> @t13 @t105)) % 0.39/0.77 (define @t107 () (forall @t14 @t106)) % 0.39/0.77 (define @t108 () (=> @t15 @t107)) % 0.39/0.77 (define @t109 () (forall @t16 @t108)) % 0.39/0.77 (define @t110 () (=> @t21 @t109)) % 0.39/0.77 (define @t111 () (forall @t7 @t110)) % 0.39/0.77 (define @t112 () (=> @t17 @t111)) % 0.39/0.77 (define @t113 () (forall @t9 @t112)) % 0.39/0.77 (define @t114 () (not @t113)) % 0.39/0.77 (define @t115 () (@var "BOUND_VARIABLE_11201" $$unsorted)) % 0.39/0.77 (define @t116 () (@var "BOUND_VARIABLE_11026" $$unsorted)) % 0.39/0.77 (define @t117 () (tptp.app @t88 @t116)) % 0.39/0.77 (define @t118 () (not (tptp.ssList @t116))) % 0.39/0.77 (define @t119 () (@var "BOUND_VARIABLE_11011" $$unsorted)) % 0.39/0.77 (define @t120 () (@var "BOUND_VARIABLE_11013" $$unsorted)) % 0.39/0.77 (define @t121 () (tptp.app @t120 (tptp.cons @t119 tptp.nil))) % 0.39/0.77 (define @t122 () (not (= @t2 @t121))) % 0.39/0.77 (define @t123 () (not (tptp.ssList @t120))) % 0.39/0.77 (define @t124 () (not (tptp.lt @t119 @t27))) % 0.39/0.77 (define @t125 () (not (tptp.ssItem @t119))) % 0.39/0.77 (define @t126 () (not @t94)) % 0.39/0.77 (define @t127 () (@list @t27 @t119 @t120 @t116)) % 0.39/0.77 (define @t128 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t122 @t118 (not (= @t117 @t115)))))) % 0.39/0.77 (define @t129 () (not (tptp.ssList @t115))) % 0.39/0.77 (define @t130 () (= @t2 tptp.nil)) % 0.39/0.77 (define @t131 () (tptp.app @t2 @t115)) % 0.39/0.77 (define @t132 () (= tptp.nil @t131)) % 0.39/0.77 (define @t133 () (not @t132)) % 0.39/0.77 (define @t134 () (and @t133 @t130)) % 0.39/0.77 (define @t135 () (not @t130)) % 0.39/0.77 (define @t136 () (and (or @t133 @t130) (or @t135 @t132))) % 0.39/0.77 (define @t137 () (not (tptp.ssList @t131))) % 0.39/0.77 (define @t138 () (not @t36)) % 0.39/0.77 (define @t139 () (not @t17)) % 0.39/0.77 (define @t140 () (or @t139 @t138 @t137 @t136 @t134 @t129 @t128)) % 0.39/0.77 (define @t141 () (or @t137 @t136 @t134 @t129 @t128)) % 0.39/0.77 (define @t142 () (or @t139 @t138 @t141)) % 0.39/0.77 (define @t143 () (@list @t2 @t115)) % 0.39/0.77 (define @t144 () (forall @t143 @t142)) % 0.39/0.77 (define @t145 () (@list @t115)) % 0.39/0.77 (define @t146 () (forall @t145 @t142)) % 0.39/0.77 (define @t147 () (forall @t145 @t141)) % 0.39/0.77 (define @t148 () (@var "BOUND_VARIABLE_11157" $$unsorted)) % 0.39/0.77 (define @t149 () (@list @t148)) % 0.39/0.77 (define @t150 () (or @t139 @t138 @t147)) % 0.39/0.77 (define @t151 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t122 @t118 (not (= @t117 @t148)))))) % 0.39/0.77 (define @t152 () (not (tptp.ssList @t148))) % 0.39/0.77 (define @t153 () (tptp.app @t2 @t148)) % 0.39/0.77 (define @t154 () (= tptp.nil @t153)) % 0.39/0.77 (define @t155 () (not @t154)) % 0.39/0.77 (define @t156 () (and @t155 @t130)) % 0.39/0.77 (define @t157 () (and (or @t155 @t130) (or @t135 @t154))) % 0.39/0.77 (define @t158 () (not (tptp.ssList @t153))) % 0.39/0.77 (define @t159 () (or @t158 @t157 @t156 @t152 @t151)) % 0.39/0.77 (define @t160 () (@list @t148)) % 0.39/0.77 (define @t161 () (or @t139 @t138 (forall @t160 @t159))) % 0.39/0.77 (define @t162 () (not (= @t153 @t153))) % 0.39/0.77 (define @t163 () (= @t153 tptp.nil)) % 0.39/0.77 (define @t164 () (not @t163)) % 0.39/0.77 (define @t165 () (and @t164 @t130)) % 0.39/0.77 (define @t166 () (or @t135 @t163)) % 0.39/0.77 (define @t167 () (or @t164 @t130)) % 0.39/0.77 (define @t168 () (and @t167 @t166)) % 0.39/0.77 (define @t169 () (or @t158 @t168 @t165 @t152 @t162 @t151)) % 0.39/0.77 (define @t170 () (not (= @t1 @t153))) % 0.39/0.77 (define @t171 () (= @t1 tptp.nil)) % 0.39/0.77 (define @t172 () (not @t171)) % 0.39/0.77 (define @t173 () (and @t172 @t130)) % 0.39/0.77 (define @t174 () (and (or @t172 @t130) (or @t135 @t171))) % 0.39/0.77 (define @t175 () (not @t21)) % 0.39/0.77 (define @t176 () (or @t170 @t175 @t174 @t173 @t152 @t170 @t151)) % 0.39/0.77 (define @t177 () (or @t175 @t174 @t173 @t152 @t170 @t151)) % 0.39/0.77 (define @t178 () (forall @t7 @t177)) % 0.39/0.77 (define @t179 () (forall @t160 @t178)) % 0.39/0.77 (define @t180 () (forall (@list @t148 @t1) @t177)) % 0.39/0.77 (define @t181 () (@list @t1 @t148)) % 0.39/0.77 (define @t182 () (or @t152 @t170 @t151)) % 0.39/0.77 (define @t183 () (or @t175 @t174 @t173 @t182)) % 0.39/0.77 (define @t184 () (forall @t181 @t183)) % 0.39/0.77 (define @t185 () (forall @t160 @t183)) % 0.39/0.77 (define @t186 () (forall @t160 @t182)) % 0.39/0.77 (define @t187 () (@var "BOUND_VARIABLE_11109" $$unsorted)) % 0.39/0.77 (define @t188 () (@list @t187)) % 0.39/0.77 (define @t189 () (or @t175 @t174 @t173 @t186)) % 0.39/0.77 (define @t190 () (not (= @t117 @t187))) % 0.39/0.77 (define @t191 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t122 @t118 @t190)))) % 0.39/0.77 (define @t192 () (not (= @t1 (tptp.app @t2 @t187)))) % 0.39/0.77 (define @t193 () (not (tptp.ssList @t187))) % 0.39/0.77 (define @t194 () (or @t193 @t192 @t191)) % 0.39/0.77 (define @t195 () (@list @t187)) % 0.39/0.77 (define @t196 () (forall @t195 @t194)) % 0.39/0.77 (define @t197 () (or @t175 @t174 @t173 @t196)) % 0.39/0.77 (define @t198 () (forall @t7 @t197)) % 0.39/0.77 (define @t199 () (or @t139 @t138 @t198)) % 0.39/0.77 (define @t200 () (or @t139 @t138 @t197)) % 0.39/0.77 (define @t201 () (or @t175 @t174 @t139 @t138 @t173 @t196)) % 0.39/0.77 (define @t202 () (or @t174 @t175 @t139 @t138 @t173 @t196)) % 0.39/0.77 (define @t203 () (or @t139 @t138 @t173 @t196)) % 0.39/0.77 (define @t204 () (or @t139 @t138 @t173 @t194)) % 0.39/0.77 (define @t205 () (or @t139 @t138 @t173 @t193 @t192 @t191)) % 0.39/0.77 (define @t206 () (not (= @t2 @t2))) % 0.39/0.77 (define @t207 () (or @t139 @t206 @t138 @t173 @t193 @t192 @t191)) % 0.39/0.77 (define @t208 () (not (= @t12 @t121))) % 0.39/0.77 (define @t209 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t208 @t118 @t190)))) % 0.39/0.77 (define @t210 () (not (= @t1 (tptp.app @t12 @t187)))) % 0.39/0.77 (define @t211 () (= @t12 tptp.nil)) % 0.39/0.77 (define @t212 () (and @t172 @t211)) % 0.39/0.77 (define @t213 () (not @t15)) % 0.39/0.77 (define @t214 () (or @t103 @t213 @t103 @t97 @t212 @t193 @t210 @t209)) % 0.39/0.77 (define @t215 () (or @t213 @t103 @t97 @t212 @t193 @t210 @t209)) % 0.39/0.77 (define @t216 () (forall @t16 @t215)) % 0.39/0.77 (define @t217 () (forall @t195 @t216)) % 0.39/0.77 (define @t218 () (forall (@list @t187 @t12) @t215)) % 0.39/0.77 (define @t219 () (@list @t12 @t187)) % 0.39/0.77 (define @t220 () (or @t193 @t210 @t209)) % 0.39/0.77 (define @t221 () (or @t213 @t103 @t97 @t212 @t220)) % 0.39/0.77 (define @t222 () (forall @t219 @t221)) % 0.39/0.77 (define @t223 () (forall @t195 @t221)) % 0.39/0.77 (define @t224 () (forall @t195 @t220)) % 0.39/0.77 (define @t225 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 0.39/0.77 (define @t226 () (@list @t225)) % 0.39/0.77 (define @t227 () (or @t213 @t103 @t97 @t212 @t224)) % 0.39/0.77 (define @t228 () (not (forall @t127 (or @t126 @t125 @t124 @t123 @t208 @t118 (not (= @t117 @t225)))))) % 0.39/0.77 (define @t229 () (tptp.app @t12 @t225)) % 0.39/0.77 (define @t230 () (not (= @t1 @t229))) % 0.39/0.77 (define @t231 () (not (tptp.ssList @t225))) % 0.39/0.77 (define @t232 () (or @t231 @t230 @t228)) % 0.39/0.77 (define @t233 () (@list @t225)) % 0.39/0.77 (define @t234 () (forall @t233 @t232)) % 0.39/0.77 (define @t235 () (or @t213 @t103 @t97 @t212 @t234)) % 0.39/0.77 (define @t236 () (forall @t16 @t235)) % 0.39/0.77 (define @t237 () (or @t174 @t175 @t236)) % 0.39/0.77 (define @t238 () (or @t174 @t175 @t235)) % 0.39/0.77 (define @t239 () (or @t213 @t103 @t174 @t97 @t175 @t212 @t234)) % 0.39/0.77 (define @t240 () (or @t103 @t174 @t97 @t175 @t212 @t234)) % 0.39/0.77 (define @t241 () (or @t175 @t212 @t234)) % 0.39/0.77 (define @t242 () (or @t175 @t212 @t232)) % 0.39/0.77 (define @t243 () (or @t175 @t212 @t231 @t230 @t228)) % 0.39/0.77 (define @t244 () (not (= @t1 @t1))) % 0.39/0.77 (define @t245 () (or @t175 @t244 @t212 @t231 @t230 @t228)) % 0.39/0.77 (define @t246 () (not (= @t10 @t229))) % 0.39/0.77 (define @t247 () (and (not (= @t10 tptp.nil)) @t211)) % 0.39/0.77 (define @t248 () (not @t13)) % 0.39/0.77 (define @t249 () (or @t104 @t248 @t104 @t247 @t231 @t246 @t228)) % 0.39/0.77 (define @t250 () (or @t248 @t104 @t247 @t231 @t246 @t228)) % 0.39/0.77 (define @t251 () (forall @t14 @t250)) % 0.39/0.77 (define @t252 () (forall @t233 @t251)) % 0.39/0.77 (define @t253 () (forall (@list @t225 @t10) @t250)) % 0.39/0.77 (define @t254 () (@list @t10 @t225)) % 0.39/0.77 (define @t255 () (not (= @t225 @t117))) % 0.39/0.77 (define @t256 () (or @t126 @t125 @t124 @t123 @t208 @t118 @t255)) % 0.39/0.77 (define @t257 () (forall @t127 @t256)) % 0.39/0.77 (define @t258 () (not @t257)) % 0.39/0.77 (define @t259 () (or @t248 @t104 @t247 @t231 @t246 @t258)) % 0.39/0.77 (define @t260 () (or @t231 @t246 @t258)) % 0.39/0.77 (define @t261 () (or @t248 @t104 @t247 @t260)) % 0.39/0.77 (define @t262 () (forall @t254 @t261)) % 0.39/0.77 (define @t263 () (forall @t233 @t261)) % 0.39/0.77 (define @t264 () (forall @t233 @t260)) % 0.39/0.77 (define @t265 () (or @t248 @t104 @t247 @t264)) % 0.39/0.77 (define @t266 () (not (= @t28 @t117))) % 0.39/0.77 (define @t267 () (or @t126 @t125 @t124 @t123 @t208 @t118 @t266)) % 0.39/0.77 (define @t268 () (not (forall @t127 @t267))) % 0.39/0.77 (define @t269 () (not (= @t10 @t98))) % 0.39/0.77 (define @t270 () (not @t32)) % 0.39/0.77 (define @t271 () (or @t270 @t269 @t268)) % 0.39/0.77 (define @t272 () (forall @t33 @t271)) % 0.39/0.77 (define @t273 () (or @t248 @t104 @t247 @t272)) % 0.39/0.77 (define @t274 () (forall @t14 @t273)) % 0.39/0.77 (define @t275 () (or @t103 @t174 @t97 @t274)) % 0.39/0.77 (define @t276 () (or @t103 @t174 @t97 @t273)) % 0.39/0.77 (define @t277 () (or @t248 @t104 @t103 @t247 @t174 @t97 @t272)) % 0.39/0.77 (define @t278 () (or @t104 @t103 @t247 @t174 @t97 @t272)) % 0.39/0.77 (define @t279 () (or @t97 @t272)) % 0.39/0.77 (define @t280 () (or @t97 @t271)) % 0.39/0.77 (define @t281 () (or @t270 @t269 @t97 @t268)) % 0.39/0.77 (define @t282 () (or @t269 @t97 @t268)) % 0.39/0.77 (define @t283 () (or @t118 @t266)) % 0.39/0.77 (define @t284 () (or @t125 @t124 @t123 @t208)) % 0.39/0.77 (define @t285 () (or @t126 @t284 @t283)) % 0.39/0.77 (define @t286 () (forall @t127 @t285)) % 0.39/0.77 (define @t287 () (forall (@list @t119 @t120 @t116) @t285)) % 0.39/0.77 (define @t288 () (forall (@list @t116) @t283)) % 0.39/0.77 (define @t289 () (forall (@list @t119 @t120) @t284)) % 0.39/0.77 (define @t290 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 0.39/0.77 (define @t291 () (or @t126 @t289 @t288)) % 0.39/0.77 (define @t292 () (= @t28 @t89)) % 0.39/0.77 (define @t293 () (not @t292)) % 0.39/0.77 (define @t294 () (not @t90)) % 0.39/0.77 (define @t295 () (or @t294 @t293)) % 0.39/0.77 (define @t296 () (forall @t92 @t295)) % 0.39/0.77 (define @t297 () (not (= @t12 (tptp.app @t290 @t76)))) % 0.39/0.77 (define @t298 () (not (tptp.ssList @t290))) % 0.39/0.77 (define @t299 () (not @t75)) % 0.39/0.77 (define @t300 () (not @t83)) % 0.39/0.77 (define @t301 () (or @t300 @t299 @t298 @t297)) % 0.39/0.77 (define @t302 () (@list @t74 @t290)) % 0.39/0.77 (define @t303 () (forall @t302 @t301)) % 0.39/0.77 (define @t304 () (or @t126 @t303 @t296)) % 0.39/0.77 (define @t305 () (or @t303 @t296)) % 0.39/0.77 (define @t306 () (not @t305)) % 0.39/0.77 (define @t307 () (and @t94 @t306)) % 0.39/0.77 (define @t308 () (forall @t31 (not @t307))) % 0.39/0.77 (define @t309 () (not @t308)) % 0.39/0.77 (define @t310 () (or @t303 @t295)) % 0.39/0.77 (define @t311 () (or @t294 @t293 @t303)) % 0.39/0.77 (define @t312 () (not @t303)) % 0.39/0.77 (define @t313 () (not @t312)) % 0.39/0.77 (define @t314 () (or @t294 @t293 @t313)) % 0.39/0.77 (define @t315 () (and @t90 @t292 @t312)) % 0.39/0.77 (define @t316 () (forall @t92 (not @t315))) % 0.39/0.77 (define @t317 () (not @t316)) % 0.39/0.77 (define @t318 () (or @t298 @t297)) % 0.39/0.77 (define @t319 () (or @t300 @t299 @t318)) % 0.39/0.77 (define @t320 () (forall @t302 @t319)) % 0.39/0.77 (define @t321 () (@list @t290)) % 0.39/0.77 (define @t322 () (forall @t321 @t319)) % 0.39/0.77 (define @t323 () (forall @t321 @t318)) % 0.39/0.77 (define @t324 () (or @t300 @t299 @t323)) % 0.39/0.77 (define @t325 () (= @t12 @t78)) % 0.39/0.77 (define @t326 () (not @t325)) % 0.39/0.77 (define @t327 () (not @t79)) % 0.39/0.77 (define @t328 () (or @t327 @t326)) % 0.39/0.77 (define @t329 () (forall @t81 @t328)) % 0.39/0.77 (define @t330 () (or @t300 @t299 @t329)) % 0.39/0.77 (define @t331 () (or @t299 @t329)) % 0.39/0.77 (define @t332 () (not @t331)) % 0.39/0.77 (define @t333 () (and @t83 @t332)) % 0.39/0.77 (define @t334 () (forall @t85 (not @t333))) % 0.39/0.77 (define @t335 () (not @t334)) % 0.39/0.77 (define @t336 () (or @t299 @t328)) % 0.39/0.77 (define @t337 () (or @t327 @t326 @t299)) % 0.39/0.77 (define @t338 () (and @t79 @t325 @t75)) % 0.39/0.77 (define @t339 () (forall @t81 (not @t338))) % 0.39/0.77 (define @t340 () (not @t339)) % 0.39/0.77 (define @t341 () (forall @t143 @t140)) % 0.39/0.77 (define @t342 () (@quantifiers_skolemize @t341 1)) % 0.39/0.77 (define @t343 () (not (= @t117 @t342))) % 0.39/0.77 (define @t344 () (@quantifiers_skolemize @t341 0)) % 0.39/0.77 (define @t345 () (tptp.ssList @t342)) % 0.39/0.77 (define @t346 () (not @t345)) % 0.39/0.77 (define @t347 () (= tptp.nil @t344)) % 0.39/0.77 (define @t348 () (tptp.app @t344 @t342)) % 0.39/0.77 (define @t349 () (= tptp.nil @t348)) % 0.39/0.77 (define @t350 () (not @t349)) % 0.39/0.77 (define @t351 () (and @t350 @t347)) % 0.39/0.77 (define @t352 () (not @t347)) % 0.39/0.77 (define @t353 () (or @t352 @t349)) % 0.39/0.77 (define @t354 () (or @t350 @t347)) % 0.39/0.77 (define @t355 () (and @t354 @t353)) % 0.39/0.77 (define @t356 () (not (tptp.ssList @t348))) % 0.39/0.77 (define @t357 () (not (tptp.strictorderedP @t344))) % 0.39/0.77 (define @t358 () (tptp.ssList @t344)) % 0.39/0.77 (define @t359 () (not @t358)) % 0.39/0.77 (define @t360 () (or @t359 @t357 @t356 @t355 @t351 @t346 (not (forall @t127 (or @t126 @t125 @t124 @t123 (not (= @t121 @t344)) @t118 @t343))))) % 0.39/0.77 (define @t361 () (not @t360)) % 0.39/0.77 (define @t362 () (not @t341)) % 0.39/0.77 (define @t363 () (not (= @t344 @t121))) % 0.39/0.77 (define @t364 () (or @t126 @t125 @t124 @t123 @t363 @t118 @t343)) % 0.39/0.77 (define @t365 () (forall @t127 @t364)) % 0.39/0.77 (define @t366 () (not @t365)) % 0.39/0.77 (define @t367 () (= @t344 tptp.nil)) % 0.39/0.77 (define @t368 () (and @t350 @t367)) % 0.39/0.77 (define @t369 () (not @t367)) % 0.39/0.77 (define @t370 () (or @t369 @t349)) % 0.39/0.77 (define @t371 () (or @t350 @t367)) % 0.39/0.77 (define @t372 () (and @t371 @t370)) % 0.39/0.77 (define @t373 () (or @t359 @t357 @t356 @t372 @t368 @t346 @t366)) % 0.39/0.77 (define @t374 () (not @t373)) % 0.39/0.77 (define @t375 () (@list true)) % 0.39/0.77 (define @t376 () (@list @t360)) % 0.39/0.77 (define @t377 () (@var "BOUND_VARIABLE_10620" $$unsorted)) % 0.39/0.77 (define @t378 () (and (= @t377 tptp.nil) @t130)) % 0.39/0.77 (define @t379 () (= tptp.nil (tptp.app @t2 @t377))) % 0.39/0.77 (define @t380 () (= @t379 @t378)) % 0.39/0.77 (define @t381 () (not (tptp.ssList @t377))) % 0.39/0.77 (define @t382 () (or @t139 @t381 @t380)) % 0.39/0.77 (define @t383 () (or @t381 @t380)) % 0.39/0.77 (define @t384 () (or @t139 @t383)) % 0.39/0.77 (define @t385 () (@list @t2 @t377)) % 0.39/0.77 (define @t386 () (forall @t385 @t384)) % 0.39/0.77 (define @t387 () (@list @t377)) % 0.39/0.77 (define @t388 () (forall @t387 @t384)) % 0.39/0.77 (define @t389 () (forall @t387 @t383)) % 0.39/0.77 (define @t390 () (or @t139 @t389)) % 0.39/0.77 (define @t391 () (= @t63 (and @t171 @t130))) % 0.39/0.77 (define @t392 () (forall @t7 (or @t175 @t391))) % 0.39/0.77 (define @t393 () (= tptp.nil @t342)) % 0.39/0.77 (define @t394 () (and @t393 @t367)) % 0.39/0.77 (define @t395 () (= @t349 @t394)) % 0.39/0.77 (define @t396 () (or @t359 @t346 @t395)) % 0.39/0.77 (define @t397 () (forall @t385 (or @t139 @t381 (= @t379 (and (= tptp.nil @t377) @t130))))) % 0.39/0.77 (define @t398 () (and @t393 @t347)) % 0.39/0.77 (define @t399 () (= @t349 @t398)) % 0.39/0.77 (define @t400 () (or @t359 @t346 @t399)) % 0.39/0.77 (define @t401 () (@list false)) % 0.39/0.77 (define @t402 () (not @t350)) % 0.39/0.77 (define @t403 () (not @t398)) % 0.39/0.77 (define @t404 () (not @t399)) % 0.39/0.77 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.39/0.77 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.39/0.77 (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))))))))))) % 0.39/0.77 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.39/0.77 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.39/0.77 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.39/0.77 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.39/0.77 (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))))))))))))))))) % 0.39/0.77 (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)))))))))))))))) % 0.39/0.77 (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))))))))))))))))) % 0.39/0.77 (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))))))))))))))) % 0.39/0.77 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.39/0.77 (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)))))))))))))))) % 0.39/0.77 (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))))))))))))) % 0.39/0.77 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.39/0.77 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.39/0.77 (assume @p17 (tptp.ssList tptp.nil)) % 0.39/0.77 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.39/0.77 (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))))))))))) % 0.39/0.77 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.39/0.77 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.39/0.77 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.39/0.77 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.39/0.77 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.39/0.77 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.39/0.77 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.39/0.77 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.39/0.77 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.39/0.77 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.39/0.77 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.39/0.77 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.39/0.77 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.39/0.77 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.39/0.77 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.39/0.77 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.39/0.77 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.39/0.77 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.39/0.77 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.39/0.77 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.39/0.77 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.39/0.77 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.39/0.77 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.39/0.77 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.39/0.77 (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)))))))))))) % 0.39/0.77 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.39/0.77 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.39/0.77 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.39/0.77 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.39/0.77 (assume @p49 (forall 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% 0.39/0.77 (step @p487 :rule refl :args (@t357)) % 0.39/0.77 (step @p488 :rule refl :args (@t359)) % 0.39/0.77 (step @p489 :rule nary_cong :premises (@p488 @p487 @p486 @p485 @p480 @p477 @p476) :args (@t373)) % 0.39/0.77 (step @p490 :rule cong :premises (@p489) :args (@t374)) % 0.39/0.77 (step @p491 :rule refl :args (@t362)) % 0.39/0.77 (step @p492 :rule cong :premises (@p491 @p490) :args ((=> @t362 @t374))) % 0.39/0.77 (assume-push @p599 @t362) % 0.39/0.77 (step @p494 :rule skolemize :premises (@p467)) % 0.39/0.77 (step-pop @p600 :rule scope :premises (@p494)) % 0.39/0.77 (step @p495 :rule process_scope :premises (@p600) :args (@t374)) % 0.39/0.77 (step @p497 :rule eq_resolve :premises (@p495 @p492)) % 0.39/0.77 (step @p498 :rule implies_elim :premises (@p497)) % 0.39/0.77 (step @p499 :rule eq_resolve :premises (@p498 @p470)) % 0.39/0.77 (step @p500 :rule chain_m_resolution :premises (@p499 @p467) :args (@t361 @t375 (@list @t341))) % 0.39/0.77 (step @p501 :rule bool-double-not-elim :args (@t358)) % 0.39/0.77 (step @p502 :rule refl :args (@t360)) % 0.39/0.77 (step @p503 :rule nary_cong :premises (@p502 @p501) :args ((or @t360 (not @t359)))) % 0.39/0.77 (step @p504 :rule cnf_or_neg :args (@t360 0)) % 0.39/0.77 (step @p505 :rule eq_resolve :premises (@p504 @p503)) % 0.39/0.77 (step @p506 :rule reordering :premises (@p505) :args ((or @t358 @t360))) % 0.39/0.77 (step @p507 :rule chain_m_resolution :premises (@p506 @p500) :args (@t358 @t375 @t376)) % 0.39/0.77 (step @p508 :rule bool-double-not-elim :args (@t345)) % 0.39/0.77 (step @p509 :rule nary_cong :premises (@p502 @p508) :args ((or @t360 (not @t346)))) % 0.39/0.77 (step @p510 :rule cnf_or_neg :args (@t360 5)) % 0.39/0.77 (step @p511 :rule eq_resolve :premises (@p510 @p509)) % 0.39/0.77 (step @p512 :rule reordering :premises (@p511) :args ((or @t345 @t360))) % 0.39/0.77 (step @p513 :rule chain_m_resolution :premises (@p512 @p500) :args (@t345 @t375 @t376)) % 0.39/0.77 (step @p514 :rule eq-symm :args (@t377 tptp.nil)) % 0.39/0.77 (step @p515 :rule nary_cong :premises (@p514 @p123) :args (@t378)) % 0.39/0.77 (step @p516 :rule refl :args (@t379)) % 0.39/0.77 (step @p517 :rule cong :premises (@p516 @p515) :args (@t380)) % 0.39/0.77 (step @p518 :rule refl :args (@t381)) % 0.39/0.77 (step @p519 :rule nary_cong :premises (@p161 @p518 @p517) :args (@t382)) % 0.39/0.77 (step @p520 :rule aci_norm :args ((= @t384 @t382))) % 0.39/0.77 (step @p521 :rule trans :premises (@p520 @p519)) % 0.39/0.77 (step @p522 :rule cong :premises (@p521) :args (@t386)) % 0.39/0.77 (step @p523 :rule quant-merge-prenex :args ((= (forall @t9 @t388) @t386))) % 0.39/0.77 (step @p524 :rule alpha_equiv :args (@t389 (@list @t377) (@list @t1))) % 0.39/0.77 (step @p525 :rule nary_cong :premises (@p103 @p524) :args (@t390)) % 0.39/0.77 (step @p526 :rule quant-miniscope-or :args ((= @t388 @t390))) % 0.39/0.77 (step @p527 :rule trans :premises (@p526 @p525)) % 0.39/0.77 (step @p528 :rule symm :premises (@p527)) % 0.39/0.77 (step @p529 :rule cong :premises (@p528) :args ((forall @t9 (or @t139 @t392)))) % 0.39/0.77 (step @p530 :rule trans :premises (@p529 @p523)) % 0.39/0.77 (step @p531 :rule trans :premises (@p530 @p522)) % 0.39/0.77 (step @p532 :rule bool-impl-elim :args (@t17 @t392)) % 0.39/0.77 (step @p533 :rule cong :premises (@p532) :args ((forall @t9 (=> @t17 @t392)))) % 0.39/0.77 (step @p534 :rule trans :premises (@p533 @p531)) % 0.39/0.77 (step @p535 :rule bool-impl-elim :args (@t21 @t391)) % 0.39/0.77 (step @p536 :rule cong :premises (@p535) :args ((forall @t7 (=> @t21 @t391)))) % 0.39/0.77 (step @p537 :rule nary_cong :premises (@p318 @p319) :args (@t62)) % 0.39/0.77 (step @p538 :rule refl :args (@t63)) % 0.39/0.77 (step @p539 :rule cong :premises (@p538 @p537) :args (@t64)) % 0.39/0.77 (step @p540 :rule cong :premises (@p458 @p539) :args (@t65)) % 0.39/0.77 (step @p541 :rule cong :premises (@p540) :args (@t66)) % 0.39/0.77 (step @p542 :rule trans :premises (@p541 @p536)) % 0.39/0.77 (step @p543 :rule cong :premises (@p462 @p542) :args (@t67)) % 0.39/0.77 (step @p544 :rule cong :premises (@p543) :args (@t68)) % 0.39/0.77 (step @p545 :rule trans :premises (@p544 @p534)) % 0.39/0.77 (step @p546 :rule eq_resolve :premises (@p83 @p545)) % 0.39/0.77 (step @p547 :rule refl :args (@t393)) % 0.39/0.77 (step @p548 :rule nary_cong :premises (@p547 @p478) :args (@t394)) % 0.39/0.77 (step @p549 :rule cong :premises (@p481 @p548) :args (@t395)) % 0.39/0.77 (step @p550 :rule nary_cong :premises (@p488 @p477 @p549) :args (@t396)) % 0.39/0.77 (step @p551 :rule refl :args (@t397)) % 0.39/0.77 (step @p552 :rule cong :premises (@p551 @p550) :args ((=> @t397 @t396))) % 0.39/0.77 (assume-push @p601 @t397) % 0.39/0.77 (step @p554 :rule instantiate :premises (@p546) :args ((@list @t344 @t342))) % 0.39/0.77 (step-pop @p602 :rule scope :premises (@p554)) % 0.39/0.77 (step @p555 :rule process_scope :premises (@p602) :args (@t396)) % 0.39/0.77 (step @p557 :rule eq_resolve :premises (@p555 @p552)) % 0.39/0.77 (step @p558 :rule implies_elim :premises (@p557)) % 0.39/0.77 (step @p559 :rule chain_m_resolution :premises (@p558 @p546) :args (@t400 @t401 (@list @t397))) % 0.39/0.77 (step @p560 :rule bool-double-not-elim :args (@t349)) % 0.39/0.77 (step @p561 :rule refl :args (@t354)) % 0.39/0.77 (step @p562 :rule nary_cong :premises (@p561 @p560) :args ((or @t354 @t402))) % 0.39/0.77 (step @p563 :rule cnf_or_neg :args (@t354 0)) % 0.39/0.77 (step @p564 :rule eq_resolve :premises (@p563 @p562)) % 0.39/0.77 (step @p565 :rule reordering :premises (@p564) :args ((or @t349 @t354))) % 0.39/0.77 (step @p566 :rule cnf_or_neg :args (@t360 4)) % 0.39/0.77 (step @p567 :rule chain_m_resolution :premises (@p566 @p500) :args ((not @t351) @t375 @t376)) % 0.39/0.77 (step @p568 :rule refl :args (@t352)) % 0.39/0.77 (step @p569 :rule refl :args (@t351)) % 0.39/0.77 (step @p570 :rule nary_cong :premises (@p569 @p560 @p568) :args ((or @t351 @t402 @t352))) % 0.39/0.77 (step @p571 :rule cnf_and_neg :args (@t351)) % 0.39/0.77 (step @p572 :rule eq_resolve :premises (@p571 @p570)) % 0.39/0.77 (step @p573 :rule reordering :premises (@p572) :args ((or @t349 @t352 @t351))) % 0.39/0.77 (step @p574 :rule cnf_or_neg :args (@t360 3)) % 0.39/0.77 (step @p575 :rule chain_m_resolution :premises (@p574 @p500) :args ((not @t355) @t375 @t376)) % 0.39/0.77 (step @p576 :rule cnf_and_neg :args (@t355)) % 0.39/0.77 (step @p577 :rule bool-double-not-elim :args (@t347)) % 0.39/0.77 (step @p578 :rule refl :args (@t353)) % 0.39/0.77 (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or @t353 (not @t352)))) % 0.39/0.77 (step @p580 :rule cnf_or_neg :args (@t353 0)) % 0.39/0.77 (step @p581 :rule eq_resolve :premises (@p580 @p579)) % 0.39/0.77 (step @p582 :rule reordering :premises (@p581) :args ((or @t347 @t353))) % 0.39/0.77 (step @p583 :rule chain_m_resolution :premises (@p582 @p576 @p575 @p573 @p567 @p565) :args (@t349 (@list true true true true false) (@list @t353 @t355 @t347 @t351 @t354))) % 0.39/0.77 (step @p584 :rule cnf_or_neg :args (@t353 1)) % 0.39/0.77 (step @p585 :rule reordering :premises (@p584) :args ((or @t350 @t353))) % 0.39/0.77 (step @p586 :rule chain_m_resolution :premises (@p585 @p583) :args (@t353 @t401 (@list @t349))) % 0.39/0.77 (step @p587 :rule chain_m_resolution :premises (@p576 @p575 @p586) :args ((not @t354) (@list true false) (@list @t355 @t353))) % 0.39/0.77 (step @p588 :rule cnf_or_neg :args (@t354 1)) % 0.39/0.77 (step @p589 :rule chain_m_resolution :premises (@p588 @p587) :args (@t352 @t375 (@list @t354))) % 0.39/0.77 (step @p590 :rule cnf_and_pos :args (@t398 1)) % 0.39/0.77 (step @p591 :rule reordering :premises (@p590) :args ((or @t347 @t403))) % 0.39/0.77 (step @p592 :rule chain_m_resolution :premises (@p591 @p589) :args (@t403 @t375 (@list @t347))) % 0.39/0.77 (step @p593 :rule cnf_equiv_pos1 :args (@t399)) % 0.39/0.77 (step @p594 :rule reordering :premises (@p593) :args ((or @t350 @t398 @t404))) % 0.39/0.77 (step @p595 :rule chain_m_resolution :premises (@p594 @p583 @p592) :args (@t404 (@list false true) (@list @t349 @t398))) % 0.39/0.77 (step @p596 :rule cnf_or_pos :args (@t400)) % 0.39/0.77 (step @p597 :rule reordering :premises (@p596) :args ((or @t359 @t346 @t399 (not @t400)))) % 0.39/0.77 (step @p598 false :rule chain_m_resolution :premises (@p597 @p595 @p559 @p513 @p507) :args (false (@list true false false false) (@list @t399 @t400 @t345 @t358))) % 0.39/0.77 ) % 0.39/0.77 % SZS output end Proof % 0.39/0.77 % cvc5 exiting %------------------------------------------------------------------------------