%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC095+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 : n015.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 08:58:02 AM UTC 2026 % Result : Theorem 0.52s 0.71s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWC095+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n015.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 19:14:49 EDT 2026 % 0.15/0.33 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.71 % SZS status Theorem % 0.52/0.71 % SZS output start Proof % 0.52/0.71 ( % 0.52/0.71 (declare-sort $$unsorted 0) % 0.52/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.nil $$unsorted) % 0.52/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (define @t1 () (@var "V" $$unsorted)) % 0.52/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.52/0.71 (define @t3 () (= @t2 @t1)) % 0.52/0.71 (define @t4 () (not @t3)) % 0.52/0.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.52/0.71 (define @t6 () (tptp.ssItem @t1)) % 0.52/0.71 (define @t7 () (@list @t1)) % 0.52/0.71 (define @t8 () (tptp.ssItem @t2)) % 0.52/0.71 (define @t9 () (@list @t2)) % 0.52/0.71 (define @t10 () (@var "X" $$unsorted)) % 0.52/0.71 (define @t11 () (tptp.cons @t1 @t10)) % 0.52/0.71 (define @t12 () (@var "W" $$unsorted)) % 0.52/0.71 (define @t13 () (tptp.ssList @t10)) % 0.52/0.71 (define @t14 () (@list @t10)) % 0.52/0.71 (define @t15 () (tptp.ssList @t12)) % 0.52/0.71 (define @t16 () (@list @t12)) % 0.52/0.71 (define @t17 () (tptp.ssList @t2)) % 0.52/0.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.52/0.71 (define @t19 () (tptp.app @t1 @t12)) % 0.52/0.71 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.52/0.71 (define @t21 () (tptp.ssList @t1)) % 0.52/0.71 (define @t22 () (tptp.app @t12 @t1)) % 0.52/0.71 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.52/0.71 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.52/0.71 (define @t25 () (tptp.leq @t12 @t1)) % 0.52/0.71 (define @t26 () (tptp.leq @t1 @t12)) % 0.52/0.71 (define @t27 () (@var "Z" $$unsorted)) % 0.52/0.71 (define @t28 () (@var "Y" $$unsorted)) % 0.52/0.71 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.52/0.71 (define @t30 () (tptp.ssList @t27)) % 0.52/0.71 (define @t31 () (@list @t27)) % 0.52/0.71 (define @t32 () (tptp.ssList @t28)) % 0.52/0.71 (define @t33 () (@list @t28)) % 0.52/0.71 (define @t34 () (tptp.ssItem @t12)) % 0.52/0.71 (define @t35 () (tptp.lt @t1 @t12)) % 0.52/0.71 (define @t36 () (= @t1 @t12)) % 0.52/0.71 (define @t37 () (tptp.cons @t1 @t2)) % 0.52/0.71 (define @t38 () (= @t1 @t2)) % 0.52/0.71 (define @t39 () (tptp.cons @t12 @t1)) % 0.52/0.71 (define @t40 () (= tptp.nil @t2)) % 0.52/0.71 (define @t41 () (tptp.hd @t2)) % 0.52/0.71 (define @t42 () (not @t40)) % 0.52/0.71 (define @t43 () (tptp.tl @t2)) % 0.52/0.71 (define @t44 () (tptp.app @t2 @t1)) % 0.52/0.71 (define @t45 () (tptp.app @t1 @t2)) % 0.52/0.71 (define @t46 () (tptp.leq @t1 @t2)) % 0.52/0.71 (define @t47 () (tptp.leq @t2 @t1)) % 0.52/0.71 (define @t48 () (tptp.geq @t2 @t1)) % 0.52/0.71 (define @t49 () (tptp.lt @t1 @t2)) % 0.52/0.71 (define @t50 () (tptp.lt @t2 @t1)) % 0.52/0.71 (define @t51 () (tptp.lt @t2 @t12)) % 0.52/0.71 (define @t52 () (tptp.gt @t2 @t1)) % 0.52/0.71 (define @t53 () (tptp.memberP @t12 @t2)) % 0.52/0.71 (define @t54 () (tptp.app @t12 @t2)) % 0.52/0.71 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.52/0.71 (define @t56 () (tptp.hd @t1)) % 0.52/0.71 (define @t57 () (= tptp.nil @t1)) % 0.52/0.71 (define @t58 () (not @t57)) % 0.52/0.71 (define @t59 () (tptp.cons @t2 @t1)) % 0.52/0.71 (define @t60 () (= @t12 @t2)) % 0.52/0.71 (define @t61 () (@var "X4" $$unsorted)) % 0.52/0.71 (define @t62 () (@var "X2" $$unsorted)) % 0.52/0.71 (define @t63 () (tptp.app @t62 @t61)) % 0.52/0.71 (define @t64 () (not (= @t63 @t10))) % 0.52/0.71 (define @t65 () (@var "X3" $$unsorted)) % 0.52/0.71 (define @t66 () (tptp.app @t62 @t65)) % 0.52/0.71 (define @t67 () (tptp.app @t66 @t61)) % 0.52/0.71 (define @t68 () (not (= @t67 @t12))) % 0.52/0.71 (define @t69 () (not (tptp.ssList @t61))) % 0.52/0.71 (define @t70 () (or @t69 @t68 @t64)) % 0.52/0.71 (define @t71 () (@list @t61)) % 0.52/0.71 (define @t72 () (forall @t71 @t70)) % 0.52/0.71 (define @t73 () (tptp.ssList @t65)) % 0.52/0.71 (define @t74 () (=> @t73 @t72)) % 0.52/0.71 (define @t75 () (@list @t65)) % 0.52/0.71 (define @t76 () (forall @t75 @t74)) % 0.52/0.71 (define @t77 () (tptp.ssList @t62)) % 0.52/0.71 (define @t78 () (=> @t77 @t76)) % 0.52/0.71 (define @t79 () (@list @t62)) % 0.52/0.71 (define @t80 () (forall @t79 @t78)) % 0.52/0.71 (define @t81 () (@var "X1" $$unsorted)) % 0.52/0.71 (define @t82 () (tptp.app @t28 @t81)) % 0.52/0.71 (define @t83 () (tptp.app @t28 @t27)) % 0.52/0.71 (define @t84 () (tptp.app @t83 @t81)) % 0.52/0.71 (define @t85 () (tptp.ssList @t81)) % 0.52/0.71 (define @t86 () (and @t85 (= @t84 @t2) (= @t82 @t1))) % 0.52/0.71 (define @t87 () (@list @t81)) % 0.52/0.71 (define @t88 () (exists @t87 @t86)) % 0.52/0.71 (define @t89 () (and @t30 @t88)) % 0.52/0.71 (define @t90 () (exists @t31 @t89)) % 0.52/0.71 (define @t91 () (and @t32 @t90)) % 0.52/0.71 (define @t92 () (exists @t33 @t91)) % 0.52/0.71 (define @t93 () (not (= @t2 @t12))) % 0.52/0.71 (define @t94 () (not (= @t1 @t10))) % 0.52/0.71 (define @t95 () (not @t13)) % 0.52/0.71 (define @t96 () (or @t95 @t94 @t93 @t92 @t80)) % 0.52/0.71 (define @t97 () (forall @t14 @t96)) % 0.52/0.71 (define @t98 () (=> @t15 @t97)) % 0.52/0.71 (define @t99 () (forall @t16 @t98)) % 0.52/0.71 (define @t100 () (=> @t21 @t99)) % 0.52/0.71 (define @t101 () (forall @t7 @t100)) % 0.52/0.71 (define @t102 () (=> @t17 @t101)) % 0.52/0.71 (define @t103 () (forall @t9 @t102)) % 0.52/0.71 (define @t104 () (not @t103)) % 0.52/0.71 (define @t105 () (@var "BOUND_VARIABLE_11215" $$unsorted)) % 0.52/0.71 (define @t106 () (not (tptp.ssList @t105))) % 0.52/0.71 (define @t107 () (@var "BOUND_VARIABLE_11213" $$unsorted)) % 0.52/0.71 (define @t108 () (not (tptp.ssList @t107))) % 0.52/0.71 (define @t109 () (@var "BOUND_VARIABLE_11211" $$unsorted)) % 0.52/0.71 (define @t110 () (not (tptp.ssList @t109))) % 0.52/0.71 (define @t111 () (tptp.app @t109 @t105)) % 0.52/0.71 (define @t112 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 0.52/0.71 (define @t113 () (tptp.app @t28 @t112)) % 0.52/0.71 (define @t114 () (not (= @t113 @t111))) % 0.52/0.71 (define @t115 () (tptp.app (tptp.app @t109 @t107) @t105)) % 0.52/0.71 (define @t116 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 0.52/0.71 (define @t117 () (tptp.app (tptp.app @t28 @t116) @t112)) % 0.52/0.71 (define @t118 () (not (tptp.ssList @t112))) % 0.52/0.71 (define @t119 () (not (tptp.ssList @t116))) % 0.52/0.71 (define @t120 () (not @t32)) % 0.52/0.71 (define @t121 () (@list @t28 @t116 @t112)) % 0.52/0.71 (define @t122 () (not (forall @t121 (or @t120 @t119 @t118 (not (= @t117 @t115)) @t114)))) % 0.52/0.72 (define @t123 () (not (tptp.ssList @t111))) % 0.52/0.72 (define @t124 () (not (tptp.ssList @t115))) % 0.52/0.72 (define @t125 () (or @t124 @t123 @t122 @t110 @t108 @t106)) % 0.52/0.72 (define @t126 () (not (= @t115 @t115))) % 0.52/0.72 (define @t127 () (not (= @t115 @t117))) % 0.52/0.72 (define @t128 () (or @t120 @t119 @t118 @t127 @t114)) % 0.52/0.72 (define @t129 () (forall @t121 @t128)) % 0.52/0.72 (define @t130 () (not @t129)) % 0.52/0.72 (define @t131 () (or @t124 @t123 @t130 @t110 @t108 @t106 @t126)) % 0.52/0.72 (define @t132 () (@list @t109 @t107 @t105)) % 0.52/0.72 (define @t133 () (not (= @t2 @t115))) % 0.52/0.72 (define @t134 () (not (= @t2 @t117))) % 0.52/0.72 (define @t135 () (not (forall @t121 (or @t120 @t119 @t118 @t134 @t114)))) % 0.52/0.72 (define @t136 () (not @t17)) % 0.52/0.72 (define @t137 () (or @t133 @t136 @t123 @t135 @t110 @t108 @t106 @t133)) % 0.52/0.72 (define @t138 () (or @t136 @t123 @t135 @t110 @t108 @t106 @t133)) % 0.52/0.72 (define @t139 () (forall @t9 @t138)) % 0.52/0.72 (define @t140 () (forall @t132 @t139)) % 0.52/0.72 (define @t141 () (forall (@list @t109 @t107 @t105 @t2) @t138)) % 0.52/0.72 (define @t142 () (@list @t2 @t109 @t107 @t105)) % 0.52/0.72 (define @t143 () (or @t123 @t135 @t110 @t108 @t106 @t133)) % 0.52/0.72 (define @t144 () (or @t136 @t143)) % 0.52/0.72 (define @t145 () (forall @t142 @t144)) % 0.52/0.72 (define @t146 () (forall @t132 @t144)) % 0.52/0.72 (define @t147 () (forall @t132 @t143)) % 0.52/0.72 (define @t148 () (@var "BOUND_VARIABLE_11166" $$unsorted)) % 0.52/0.72 (define @t149 () (@var "BOUND_VARIABLE_11164" $$unsorted)) % 0.52/0.72 (define @t150 () (@var "BOUND_VARIABLE_11162" $$unsorted)) % 0.52/0.72 (define @t151 () (@list @t150 @t149 @t148)) % 0.52/0.72 (define @t152 () (or @t136 @t147)) % 0.52/0.72 (define @t153 () (not (= @t2 (tptp.app (tptp.app @t150 @t149) @t148)))) % 0.52/0.72 (define @t154 () (not (tptp.ssList @t148))) % 0.52/0.72 (define @t155 () (not (tptp.ssList @t149))) % 0.52/0.72 (define @t156 () (not (tptp.ssList @t150))) % 0.52/0.72 (define @t157 () (tptp.app @t150 @t148)) % 0.52/0.72 (define @t158 () (not (forall @t121 (or @t120 @t119 @t118 @t134 (not (= @t113 @t157)))))) % 0.52/0.72 (define @t159 () (not (tptp.ssList @t157))) % 0.52/0.72 (define @t160 () (or @t159 @t158 @t156 @t155 @t154 @t153)) % 0.52/0.72 (define @t161 () (@list @t150 @t149 @t148)) % 0.52/0.72 (define @t162 () (or @t136 (forall @t161 @t160))) % 0.52/0.72 (define @t163 () (not (= @t157 @t157))) % 0.52/0.72 (define @t164 () (not (= @t157 @t113))) % 0.52/0.72 (define @t165 () (or @t120 @t119 @t118 @t134 @t164)) % 0.52/0.72 (define @t166 () (forall @t121 @t165)) % 0.52/0.72 (define @t167 () (not @t166)) % 0.52/0.72 (define @t168 () (or @t159 @t167 @t156 @t155 @t154 @t153 @t163)) % 0.52/0.72 (define @t169 () (not (= @t1 @t157))) % 0.52/0.72 (define @t170 () (not (= @t1 @t113))) % 0.52/0.72 (define @t171 () (or @t120 @t119 @t118 @t134 @t170)) % 0.52/0.72 (define @t172 () (not (forall @t121 @t171))) % 0.52/0.72 (define @t173 () (not @t21)) % 0.52/0.72 (define @t174 () (or @t169 @t173 @t172 @t156 @t155 @t154 @t153 @t169)) % 0.52/0.72 (define @t175 () (or @t173 @t172 @t156 @t155 @t154 @t153 @t169)) % 0.52/0.72 (define @t176 () (forall @t7 @t175)) % 0.52/0.72 (define @t177 () (forall @t161 @t176)) % 0.52/0.72 (define @t178 () (forall (@list @t150 @t149 @t148 @t1) @t175)) % 0.52/0.72 (define @t179 () (@list @t1 @t150 @t149 @t148)) % 0.52/0.72 (define @t180 () (or @t156 @t155 @t154 @t153 @t169)) % 0.52/0.72 (define @t181 () (or @t173 @t172 @t180)) % 0.52/0.72 (define @t182 () (forall @t179 @t181)) % 0.52/0.72 (define @t183 () (forall @t161 @t181)) % 0.52/0.72 (define @t184 () (forall @t161 @t180)) % 0.52/0.72 (define @t185 () (@var "BOUND_VARIABLE_11119" $$unsorted)) % 0.52/0.72 (define @t186 () (@var "BOUND_VARIABLE_11117" $$unsorted)) % 0.52/0.72 (define @t187 () (@var "BOUND_VARIABLE_11115" $$unsorted)) % 0.52/0.72 (define @t188 () (@list @t187 @t186 @t185)) % 0.52/0.72 (define @t189 () (or @t173 @t172 @t184)) % 0.52/0.72 (define @t190 () (not (= @t1 (tptp.app @t187 @t185)))) % 0.52/0.72 (define @t191 () (tptp.app (tptp.app @t187 @t186) @t185)) % 0.52/0.72 (define @t192 () (not (= @t2 @t191))) % 0.52/0.72 (define @t193 () (not (tptp.ssList @t185))) % 0.52/0.72 (define @t194 () (not (tptp.ssList @t186))) % 0.52/0.72 (define @t195 () (not (tptp.ssList @t187))) % 0.52/0.72 (define @t196 () (or @t195 @t194 @t193 @t192 @t190)) % 0.52/0.72 (define @t197 () (@list @t187 @t186 @t185)) % 0.52/0.72 (define @t198 () (forall @t197 @t196)) % 0.52/0.72 (define @t199 () (or @t173 @t172 @t198)) % 0.52/0.72 (define @t200 () (forall @t7 @t199)) % 0.52/0.72 (define @t201 () (or @t136 @t200)) % 0.52/0.72 (define @t202 () (or @t136 @t199)) % 0.52/0.72 (define @t203 () (or @t173 @t172 @t136 @t198)) % 0.52/0.72 (define @t204 () (or @t172 @t173 @t136 @t198)) % 0.52/0.72 (define @t205 () (or @t136 @t198)) % 0.52/0.72 (define @t206 () (or @t136 @t196)) % 0.52/0.72 (define @t207 () (or @t136 @t195 @t194 @t193 @t192 @t190)) % 0.52/0.72 (define @t208 () (not (= @t2 @t2))) % 0.52/0.72 (define @t209 () (or @t136 @t208 @t195 @t194 @t193 @t192 @t190)) % 0.52/0.72 (define @t210 () (not (= @t12 @t191))) % 0.52/0.72 (define @t211 () (not @t15)) % 0.52/0.72 (define @t212 () (or @t93 @t211 @t93 @t195 @t194 @t193 @t210 @t190)) % 0.52/0.72 (define @t213 () (or @t211 @t93 @t195 @t194 @t193 @t210 @t190)) % 0.52/0.72 (define @t214 () (forall @t16 @t213)) % 0.52/0.72 (define @t215 () (forall @t197 @t214)) % 0.52/0.72 (define @t216 () (forall (@list @t187 @t186 @t185 @t12) @t213)) % 0.52/0.72 (define @t217 () (@list @t12 @t187 @t186 @t185)) % 0.52/0.72 (define @t218 () (or @t195 @t194 @t193 @t210 @t190)) % 0.52/0.72 (define @t219 () (or @t211 @t93 @t218)) % 0.52/0.72 (define @t220 () (forall @t217 @t219)) % 0.52/0.72 (define @t221 () (forall @t197 @t219)) % 0.52/0.72 (define @t222 () (forall @t197 @t218)) % 0.52/0.72 (define @t223 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 0.52/0.72 (define @t224 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 0.52/0.72 (define @t225 () (@var "BOUND_VARIABLE_11070" $$unsorted)) % 0.52/0.72 (define @t226 () (@list @t225 @t224 @t223)) % 0.52/0.72 (define @t227 () (or @t211 @t93 @t222)) % 0.52/0.72 (define @t228 () (tptp.app @t225 @t223)) % 0.52/0.72 (define @t229 () (not (= @t1 @t228))) % 0.52/0.72 (define @t230 () (not (= @t12 (tptp.app (tptp.app @t225 @t224) @t223)))) % 0.52/0.72 (define @t231 () (not (tptp.ssList @t223))) % 0.52/0.72 (define @t232 () (not (tptp.ssList @t224))) % 0.52/0.72 (define @t233 () (not (tptp.ssList @t225))) % 0.52/0.72 (define @t234 () (or @t233 @t232 @t231 @t230 @t229)) % 0.52/0.72 (define @t235 () (@list @t225 @t224 @t223)) % 0.52/0.72 (define @t236 () (forall @t235 @t234)) % 0.52/0.72 (define @t237 () (or @t211 @t93 @t236)) % 0.52/0.72 (define @t238 () (forall @t16 @t237)) % 0.52/0.72 (define @t239 () (or @t172 @t173 @t238)) % 0.52/0.72 (define @t240 () (or @t172 @t173 @t237)) % 0.52/0.72 (define @t241 () (or @t211 @t93 @t172 @t173 @t236)) % 0.52/0.72 (define @t242 () (or @t93 @t172 @t173 @t236)) % 0.52/0.72 (define @t243 () (or @t173 @t236)) % 0.52/0.72 (define @t244 () (or @t173 @t234)) % 0.52/0.72 (define @t245 () (or @t173 @t233 @t232 @t231 @t230 @t229)) % 0.52/0.72 (define @t246 () (not (= @t1 @t1))) % 0.52/0.72 (define @t247 () (or @t173 @t246 @t233 @t232 @t231 @t230 @t229)) % 0.52/0.72 (define @t248 () (not (= @t10 @t228))) % 0.52/0.72 (define @t249 () (or @t94 @t95 @t94 @t233 @t232 @t231 @t230 @t248)) % 0.52/0.72 (define @t250 () (or @t95 @t94 @t233 @t232 @t231 @t230 @t248)) % 0.52/0.72 (define @t251 () (forall @t14 @t250)) % 0.52/0.72 (define @t252 () (forall @t235 @t251)) % 0.52/0.72 (define @t253 () (forall (@list @t225 @t224 @t223 @t10) @t250)) % 0.52/0.72 (define @t254 () (@list @t10 @t225 @t224 @t223)) % 0.52/0.72 (define @t255 () (or @t233 @t232 @t231 @t230 @t248)) % 0.52/0.72 (define @t256 () (or @t95 @t94 @t255)) % 0.52/0.72 (define @t257 () (forall @t254 @t256)) % 0.52/0.72 (define @t258 () (forall @t235 @t256)) % 0.52/0.72 (define @t259 () (forall @t235 @t255)) % 0.52/0.72 (define @t260 () (@var "BOUND_VARIABLE_11046" $$unsorted)) % 0.52/0.72 (define @t261 () (@var "BOUND_VARIABLE_11044" $$unsorted)) % 0.52/0.72 (define @t262 () (or @t95 @t94 @t259)) % 0.52/0.72 (define @t263 () (not (= @t10 (tptp.app @t62 @t260)))) % 0.52/0.72 (define @t264 () (not (= @t12 (tptp.app (tptp.app @t62 @t261) @t260)))) % 0.52/0.72 (define @t265 () (not (tptp.ssList @t260))) % 0.52/0.72 (define @t266 () (not (tptp.ssList @t261))) % 0.52/0.72 (define @t267 () (not @t77)) % 0.52/0.72 (define @t268 () (or @t267 @t266 @t265 @t264 @t263)) % 0.52/0.72 (define @t269 () (@list @t62 @t261 @t260)) % 0.52/0.72 (define @t270 () (forall @t269 @t268)) % 0.52/0.72 (define @t271 () (or @t95 @t94 @t270)) % 0.52/0.72 (define @t272 () (forall @t14 @t271)) % 0.52/0.72 (define @t273 () (or @t93 @t172 @t272)) % 0.52/0.72 (define @t274 () (or @t93 @t172 @t271)) % 0.52/0.72 (define @t275 () (or @t95 @t94 @t93 @t172 @t270)) % 0.52/0.72 (define @t276 () (or @t266 @t265 @t264 @t263)) % 0.52/0.72 (define @t277 () (or @t267 @t276)) % 0.52/0.72 (define @t278 () (forall @t269 @t277)) % 0.52/0.72 (define @t279 () (@list @t261 @t260)) % 0.52/0.72 (define @t280 () (forall @t279 @t277)) % 0.52/0.72 (define @t281 () (forall @t279 @t276)) % 0.52/0.72 (define @t282 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 0.52/0.72 (define @t283 () (or @t267 @t281)) % 0.52/0.72 (define @t284 () (not (= @t10 (tptp.app @t62 @t282)))) % 0.52/0.72 (define @t285 () (not (= @t12 (tptp.app @t66 @t282)))) % 0.52/0.72 (define @t286 () (not (tptp.ssList @t282))) % 0.52/0.72 (define @t287 () (not @t73)) % 0.52/0.72 (define @t288 () (or @t287 @t286 @t285 @t284)) % 0.52/0.72 (define @t289 () (@list @t65 @t282)) % 0.52/0.72 (define @t290 () (forall @t289 @t288)) % 0.52/0.72 (define @t291 () (or @t286 @t285 @t284)) % 0.52/0.72 (define @t292 () (or @t287 @t291)) % 0.52/0.72 (define @t293 () (forall @t289 @t292)) % 0.52/0.72 (define @t294 () (@list @t282)) % 0.52/0.72 (define @t295 () (forall @t294 @t292)) % 0.52/0.72 (define @t296 () (forall @t294 @t291)) % 0.52/0.72 (define @t297 () (or @t287 @t296)) % 0.52/0.72 (define @t298 () (forall @t71 (or @t69 (not (= @t12 @t67)) (not (= @t10 @t63))))) % 0.52/0.72 (define @t299 () (or @t119 @t118 @t134 @t170)) % 0.52/0.72 (define @t300 () (or @t120 @t299)) % 0.52/0.72 (define @t301 () (forall @t121 @t300)) % 0.52/0.72 (define @t302 () (@list @t116 @t112)) % 0.52/0.72 (define @t303 () (forall @t302 @t300)) % 0.52/0.72 (define @t304 () (forall @t302 @t299)) % 0.52/0.72 (define @t305 () (@var "BOUND_VARIABLE_10966" $$unsorted)) % 0.52/0.72 (define @t306 () (or @t120 @t304)) % 0.52/0.72 (define @t307 () (not (= @t1 (tptp.app @t28 @t305)))) % 0.52/0.72 (define @t308 () (not (= @t2 (tptp.app @t83 @t305)))) % 0.52/0.72 (define @t309 () (not (tptp.ssList @t305))) % 0.52/0.72 (define @t310 () (not @t30)) % 0.52/0.72 (define @t311 () (or @t310 @t309 @t308 @t307)) % 0.52/0.72 (define @t312 () (@list @t27 @t305)) % 0.52/0.72 (define @t313 () (forall @t312 @t311)) % 0.52/0.72 (define @t314 () (not @t313)) % 0.52/0.72 (define @t315 () (and @t32 @t314)) % 0.52/0.72 (define @t316 () (forall @t33 (not @t315))) % 0.52/0.72 (define @t317 () (not @t316)) % 0.52/0.72 (define @t318 () (or @t309 @t308 @t307)) % 0.52/0.72 (define @t319 () (or @t310 @t318)) % 0.52/0.72 (define @t320 () (forall @t312 @t319)) % 0.52/0.72 (define @t321 () (@list @t305)) % 0.52/0.72 (define @t322 () (forall @t321 @t319)) % 0.52/0.72 (define @t323 () (forall @t321 @t318)) % 0.52/0.72 (define @t324 () (or @t310 @t323)) % 0.52/0.72 (define @t325 () (= @t1 @t82)) % 0.52/0.72 (define @t326 () (not @t325)) % 0.52/0.72 (define @t327 () (= @t2 @t84)) % 0.52/0.72 (define @t328 () (not @t327)) % 0.52/0.72 (define @t329 () (not @t85)) % 0.52/0.72 (define @t330 () (or @t329 @t328 @t326)) % 0.52/0.72 (define @t331 () (forall @t87 @t330)) % 0.52/0.72 (define @t332 () (not @t331)) % 0.52/0.72 (define @t333 () (and @t30 @t332)) % 0.52/0.72 (define @t334 () (forall @t31 (not @t333))) % 0.52/0.72 (define @t335 () (not @t334)) % 0.52/0.72 (define @t336 () (and @t85 @t327 @t325)) % 0.52/0.72 (define @t337 () (forall @t87 (not @t336))) % 0.52/0.72 (define @t338 () (not @t337)) % 0.52/0.72 (define @t339 () (forall @t132 @t125)) % 0.52/0.72 (define @t340 () (@quantifiers_skolemize @t339 2)) % 0.52/0.72 (define @t341 () (@quantifiers_skolemize @t339 0)) % 0.52/0.72 (define @t342 () (tptp.app @t341 @t340)) % 0.52/0.72 (define @t343 () (@quantifiers_skolemize @t339 1)) % 0.52/0.72 (define @t344 () (tptp.app (tptp.app @t341 @t343) @t340)) % 0.52/0.72 (define @t345 () (forall @t121 (or @t120 @t119 @t118 (not (= @t117 @t344)) (not (= @t113 @t342))))) % 0.52/0.72 (define @t346 () (tptp.ssList @t340)) % 0.52/0.72 (define @t347 () (not @t346)) % 0.52/0.72 (define @t348 () (tptp.ssList @t343)) % 0.52/0.72 (define @t349 () (not @t348)) % 0.52/0.72 (define @t350 () (tptp.ssList @t341)) % 0.52/0.72 (define @t351 () (not @t350)) % 0.52/0.72 (define @t352 () (not @t345)) % 0.52/0.72 (define @t353 () (or (not (tptp.ssList @t344)) (not (tptp.ssList @t342)) @t352 @t351 @t349 @t347)) % 0.52/0.72 (define @t354 () (@list true)) % 0.52/0.72 (define @t355 () (@list @t353)) % 0.52/0.72 (define @t356 () (or @t351 @t349 @t347)) % 0.52/0.72 (define @t357 () (not @t356)) % 0.52/0.72 (define @t358 () (not (= @t342 @t342))) % 0.52/0.72 (define @t359 () (not (= @t344 @t344))) % 0.52/0.72 (define @t360 () (or @t351 @t349 @t347 @t359 @t358)) % 0.52/0.72 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.52/0.72 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.52/0.72 (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))))))))))) % 0.52/0.72 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.52/0.72 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.52/0.72 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.52/0.72 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.52/0.72 (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))))))))))))))))) % 0.52/0.72 (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)))))))))))))))) % 0.52/0.72 (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))))))))))))))))) % 0.52/0.72 (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))))))))))))))) % 0.52/0.72 (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))))))))))))))) % 0.52/0.72 (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)))))))))))))))) % 0.52/0.72 (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))))))))))))) % 0.52/0.72 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.52/0.72 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.52/0.72 (assume @p17 (tptp.ssList tptp.nil)) % 0.52/0.72 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.52/0.72 (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))))))))))) % 0.52/0.72 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.52/0.72 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.52/0.72 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.52/0.72 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.52/0.72 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.52/0.72 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.52/0.72 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.52/0.72 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.52/0.72 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.52/0.72 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.52/0.72 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.52/0.72 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.52/0.72 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.52/0.72 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.52/0.72 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.52/0.72 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.52/0.72 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.52/0.72 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.52/0.72 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.52/0.72 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.52/0.72 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.52/0.72 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.52/0.72 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.52/0.72 (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)))))))))))) % 0.52/0.72 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.52/0.72 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.52/0.72 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.52/0.72 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.52/0.72 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.52/0.72 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.52/0.72 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.52/0.72 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.52/0.72 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.52/0.72 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.52/0.72 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.52/0.72 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.52/0.72 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.52/0.72 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.52/0.72 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.52/0.72 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.52/0.72 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.52/0.72 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.52/0.72 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.52/0.72 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.52/0.72 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.52/0.72 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.52/0.72 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(step @p294 :rule cong :premises (@p293) :args (@t94)) % 0.52/0.72 (step @p295 :rule nary_cong :premises (@p294 @p292 @p291 @p290 @p289 @p288 @p287 @p286) :args (@t249)) % 0.52/0.72 (step @p296 :rule aci_norm :args ((= @t250 @t249))) % 0.52/0.72 (step @p297 :rule trans :premises (@p296 @p295)) % 0.52/0.72 (step @p298 :rule cong :premises (@p297) :args (@t251)) % 0.52/0.72 (step @p299 :rule trans :premises (@p298 @p285)) % 0.52/0.72 (step @p300 :rule cong :premises (@p299) :args (@t252)) % 0.52/0.72 (step @p301 :rule quant-merge-prenex :args ((= @t252 @t253))) % 0.52/0.72 (step @p302 :rule symm :premises (@p301)) % 0.52/0.72 (step @p303 :rule quant_var_reordering :args ((= (forall @t254 @t250) @t253))) % 0.52/0.72 (step @p304 :rule trans :premises (@p303 @p302 @p300)) % 0.52/0.72 (step @p305 :rule trans :premises (@p304 @p284)) % 0.52/0.72 (step @p306 :rule aci_norm :args ((= @t256 @t250))) % 0.52/0.72 (step @p307 :rule cong :premises (@p306) :args (@t257)) % 0.52/0.72 (step @p308 :rule 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(@p335 @p328)) % 0.52/0.72 (step @p337 :rule trans :premises (@p336 @p327)) % 0.52/0.72 (step @p338 :rule bool-impl-elim :args (@t77 @t290)) % 0.52/0.72 (step @p339 :rule cong :premises (@p338) :args ((forall @t79 (=> @t77 @t290)))) % 0.52/0.72 (step @p340 :rule trans :premises (@p339 @p337)) % 0.52/0.72 (step @p341 :rule aci_norm :args ((= @t292 @t288))) % 0.52/0.72 (step @p342 :rule cong :premises (@p341) :args (@t293)) % 0.52/0.72 (step @p343 :rule quant-merge-prenex :args ((= (forall @t75 @t295) @t293))) % 0.52/0.72 (step @p344 :rule alpha_equiv :args (@t296 (@list @t282) (@list @t61))) % 0.52/0.72 (step @p345 :rule refl :args (@t287)) % 0.52/0.72 (step @p346 :rule nary_cong :premises (@p345 @p344) :args (@t297)) % 0.52/0.72 (step @p347 :rule quant-miniscope-or :args ((= @t295 @t297))) % 0.52/0.72 (step @p348 :rule trans :premises (@p347 @p346)) % 0.52/0.72 (step @p349 :rule symm :premises (@p348)) % 0.52/0.72 (step @p350 :rule cong :premises (@p349) :args ((forall @t75 (or @t287 @t298)))) % 0.52/0.72 (step @p351 :rule trans :premises (@p350 @p343)) % 0.52/0.72 (step @p352 :rule trans :premises (@p351 @p342)) % 0.52/0.72 (step @p353 :rule bool-impl-elim :args (@t73 @t298)) % 0.52/0.72 (step @p354 :rule cong :premises (@p353) :args ((forall @t75 (=> @t73 @t298)))) % 0.52/0.72 (step @p355 :rule trans :premises (@p354 @p352)) % 0.52/0.72 (step @p356 :rule eq-symm :args (@t63 @t10)) % 0.52/0.72 (step @p357 :rule cong :premises (@p356) :args (@t64)) % 0.52/0.72 (step @p358 :rule eq-symm :args (@t67 @t12)) % 0.52/0.72 (step @p359 :rule cong :premises (@p358) :args (@t68)) % 0.52/0.72 (step @p360 :rule refl :args (@t69)) % 0.52/0.72 (step @p361 :rule nary_cong :premises (@p360 @p359 @p357) :args (@t70)) % 0.52/0.72 (step @p362 :rule cong :premises (@p361) :args (@t72)) % 0.52/0.72 (step @p363 :rule refl :args (@t73)) % 0.52/0.72 (step @p364 :rule cong :premises (@p363 @p362) :args (@t74)) % 0.52/0.72 (step @p365 :rule cong :premises (@p364) :args (@t76)) % 0.52/0.72 (step @p366 :rule trans :premises (@p365 @p355)) % 0.52/0.72 (step @p367 :rule refl :args (@t77)) % 0.52/0.72 (step @p368 :rule cong :premises (@p367 @p366) :args (@t78)) % 0.52/0.72 (step @p369 :rule cong :premises (@p368) :args (@t80)) % 0.52/0.72 (step @p370 :rule trans :premises (@p369 @p340)) % 0.52/0.72 (step @p371 :rule aci_norm :args ((= @t300 @t171))) % 0.52/0.72 (step @p372 :rule cong :premises (@p371) :args (@t301)) % 0.52/0.72 (step @p373 :rule quant-merge-prenex :args ((= (forall @t33 @t303) @t301))) % 0.52/0.72 (step @p374 :rule alpha_equiv :args (@t304 (@list @t116 @t112) (@list @t27 @t305))) % 0.52/0.72 (step @p375 :rule refl :args (@t120)) % 0.52/0.72 (step @p376 :rule nary_cong :premises (@p375 @p374) :args (@t306)) % 0.52/0.72 (step @p377 :rule quant-miniscope-or :args ((= @t303 @t306))) % 0.52/0.72 (step @p378 :rule trans :premises (@p377 @p376)) % 0.52/0.72 (step @p379 :rule symm :premises (@p378)) % 0.52/0.72 (step @p380 :rule cong :premises (@p379) :args ((forall @t33 (or @t120 @t313)))) % 0.52/0.72 (step @p381 :rule trans :premises (@p380 @p373)) % 0.52/0.72 (step @p382 :rule trans :premises (@p381 @p372)) % 0.52/0.72 (step @p383 :rule bool-double-not-elim :args (@t313)) % 0.52/0.72 (step @p384 :rule nary_cong :premises (@p375 @p383) :args ((or @t120 (not @t314)))) % 0.52/0.72 (step @p385 :rule bool-and-de-morgan :args (@t32 @t314 true)) % 0.52/0.72 (step @p386 :rule trans :premises (@p385 @p384)) % 0.52/0.72 (step @p387 :rule cong :premises (@p386) :args (@t316)) % 0.52/0.72 (step @p388 :rule trans :premises (@p387 @p382)) % 0.52/0.72 (step @p389 :rule cong :premises (@p388) :args (@t317)) % 0.52/0.72 (step @p390 :rule exists-elim :args ((= (exists @t33 @t315) @t317))) % 0.52/0.72 (step @p391 :rule trans :premises (@p390 @p389)) % 0.52/0.72 (step @p392 :rule aci_norm :args ((= @t319 @t311))) % 0.52/0.72 (step @p393 :rule cong :premises (@p392) :args (@t320)) % 0.52/0.72 (step @p394 :rule quant-merge-prenex :args ((= (forall @t31 @t322) 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0.52/0.72 (step @p409 :rule trans :premises (@p408 @p403)) % 0.52/0.72 (step @p410 :rule cong :premises (@p409) :args (@t335)) % 0.52/0.72 (step @p411 :rule exists-elim :args ((= (exists @t31 @t333) @t335))) % 0.52/0.72 (step @p412 :rule trans :premises (@p411 @p410)) % 0.52/0.72 (step @p413 :rule aci_norm :args ((= (or @t329 (or @t328 @t326)) @t330))) % 0.52/0.72 (step @p414 :rule bool-and-de-morgan :args (@t327 @t325 true)) % 0.52/0.72 (step @p415 :rule refl :args (@t329)) % 0.52/0.72 (step @p416 :rule nary_cong :premises (@p415 @p414) :args ((or @t329 (not (and @t327 @t325))))) % 0.52/0.72 (step @p417 :rule bool-and-de-morgan :args (@t85 @t327 (and @t325))) % 0.52/0.72 (step @p418 :rule trans :premises (@p417 @p416)) % 0.52/0.72 (step @p419 :rule trans :premises (@p418 @p413)) % 0.52/0.72 (step @p420 :rule cong :premises (@p419) :args (@t337)) % 0.52/0.72 (step @p421 :rule cong :premises (@p420) :args (@t338)) % 0.52/0.72 (step @p422 :rule exists-elim :args ((= (exists @t87 @t336) @t338))) % 0.52/0.72 (step @p423 :rule trans :premises (@p422 @p421)) % 0.52/0.72 (step @p424 :rule eq-symm :args (@t82 @t1)) % 0.52/0.72 (step @p425 :rule eq-symm :args (@t84 @t2)) % 0.52/0.72 (step @p426 :rule refl :args (@t85)) % 0.52/0.72 (step @p427 :rule nary_cong :premises (@p426 @p425 @p424) :args (@t86)) % 0.52/0.72 (step @p428 :rule cong :premises (@p427) :args (@t88)) % 0.52/0.72 (step @p429 :rule trans :premises (@p428 @p423)) % 0.52/0.72 (step @p430 :rule refl :args (@t30)) % 0.52/0.72 (step @p431 :rule nary_cong :premises (@p430 @p429) :args (@t89)) % 0.52/0.72 (step @p432 :rule cong :premises (@p431) :args (@t90)) % 0.52/0.72 (step @p433 :rule trans :premises (@p432 @p412)) % 0.52/0.72 (step @p434 :rule refl :args (@t32)) % 0.52/0.72 (step @p435 :rule nary_cong :premises (@p434 @p433) :args (@t91)) % 0.52/0.72 (step @p436 :rule cong :premises (@p435) :args (@t92)) % 0.52/0.72 (step @p437 :rule trans :premises (@p436 @p391)) % 0.52/0.72 (step @p438 :rule refl :args (@t94)) % 0.52/0.72 (step @p439 :rule refl :args (@t95)) % 0.52/0.72 (step @p440 :rule nary_cong :premises (@p439 @p438 @p318 @p437 @p370) :args (@t96)) % 0.52/0.72 (step @p441 :rule cong :premises (@p440) :args (@t97)) % 0.52/0.72 (step @p442 :rule trans :premises (@p441 @p325)) % 0.52/0.72 (step @p443 :rule refl :args (@t15)) % 0.52/0.72 (step @p444 :rule cong :premises (@p443 @p442) :args (@t98)) % 0.52/0.72 (step @p445 :rule cong :premises (@p444) :args (@t99)) % 0.52/0.72 (step @p446 :rule trans :premises (@p445 @p266)) % 0.52/0.72 (step @p447 :rule refl :args (@t21)) % 0.52/0.72 (step @p448 :rule cong :premises (@p447 @p446) :args (@t100)) % 0.52/0.72 (step @p449 :rule cong :premises (@p448) :args (@t101)) % 0.52/0.72 (step @p450 :rule trans :premises (@p449 @p201)) % 0.52/0.72 (step @p451 :rule refl :args (@t17)) % 0.52/0.72 (step @p452 :rule cong :premises (@p451 @p450) :args (@t102)) % 0.52/0.72 (step @p453 :rule cong :premises (@p452) :args (@t103)) % 0.52/0.72 (step @p454 :rule trans :premises (@p453 @p147)) % 0.52/0.72 (step @p455 :rule cong :premises (@p454) :args (@t104)) % 0.52/0.72 (step @p456 :rule eq_resolve :premises (@p96 @p455)) % 0.52/0.72 (step @p457 :rule skolemize :premises (@p456)) % 0.52/0.72 (step @p458 :rule bool-double-not-elim :args (@t345)) % 0.52/0.72 (step @p459 :rule refl :args (@t353)) % 0.52/0.72 (step @p460 :rule nary_cong :premises (@p459 @p458) :args ((or @t353 (not @t352)))) % 0.52/0.72 (step @p461 :rule cnf_or_neg :args (@t353 2)) % 0.52/0.72 (step @p462 :rule eq_resolve :premises (@p461 @p460)) % 0.52/0.72 (step @p463 :rule reordering :premises (@p462) :args ((or @t345 @t353))) % 0.52/0.72 (step @p464 :rule chain_m_resolution :premises (@p463 @p457) :args (@t345 @t354 @t355)) % 0.52/0.72 (step @p465 :rule bool-double-not-elim :args (@t346)) % 0.52/0.72 (step @p466 :rule nary_cong :premises (@p459 @p465) :args ((or @t353 (not @t347)))) % 0.52/0.72 (step @p467 :rule cnf_or_neg :args (@t353 5)) % 0.52/0.72 (step @p468 :rule eq_resolve :premises (@p467 @p466)) % 0.52/0.72 (step @p469 :rule reordering :premises (@p468) :args ((or @t346 @t353))) % 0.52/0.72 (step @p470 :rule chain_m_resolution :premises (@p469 @p457) :args (@t346 @t354 @t355)) % 0.52/0.72 (step @p471 :rule bool-double-not-elim :args (@t348)) % 0.52/0.72 (step @p472 :rule nary_cong :premises (@p459 @p471) :args ((or @t353 (not @t349)))) % 0.52/0.72 (step @p473 :rule cnf_or_neg :args (@t353 4)) % 0.52/0.72 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 0.52/0.72 (step @p475 :rule reordering :premises (@p474) :args ((or @t348 @t353))) % 0.52/0.72 (step @p476 :rule chain_m_resolution :premises (@p475 @p457) :args (@t348 @t354 @t355)) % 0.52/0.72 (step @p477 :rule bool-double-not-elim :args (@t350)) % 0.52/0.72 (step @p478 :rule nary_cong :premises (@p459 @p477) :args ((or @t353 (not @t351)))) % 0.52/0.72 (step @p479 :rule cnf_or_neg :args (@t353 3)) % 0.52/0.72 (step @p480 :rule eq_resolve :premises (@p479 @p478)) % 0.52/0.72 (step @p481 :rule reordering :premises (@p480) :args ((or @t350 @t353))) % 0.52/0.72 (step @p482 :rule chain_m_resolution :premises (@p481 @p457) :args (@t350 @t354 @t355)) % 0.52/0.72 (step @p483 :rule cnf_or_pos :args (@t356)) % 0.52/0.72 (step @p484 :rule reordering :premises (@p483) :args ((or @t351 @t349 @t347 @t357))) % 0.52/0.72 (step @p485 :rule chain_m_resolution :premises (@p484 @p482 @p476 @p470) :args (@t357 (@list false false false) (@list @t350 @t348 @t346))) % 0.52/0.72 (step @p486 :rule aci_norm :args ((= (or @t351 @t349 @t347 false false) @t356))) % 0.52/0.72 (step @p487 :rule eq-refl :args (@t342)) % 0.52/0.72 (step @p488 :rule cong :premises (@p487) :args (@t358)) % 0.52/0.72 (step @p489 :rule trans :premises (@p488 @p99)) % 0.52/0.72 (step @p490 :rule eq-refl :args (@t344)) % 0.52/0.72 (step @p491 :rule cong :premises (@p490) :args (@t359)) % 0.52/0.72 (step @p492 :rule trans :premises (@p491 @p99)) % 0.52/0.72 (step @p493 :rule refl :args (@t347)) % 0.52/0.72 (step @p494 :rule refl :args (@t349)) % 0.52/0.72 (step @p495 :rule refl :args (@t351)) % 0.52/0.72 (step @p496 :rule nary_cong :premises (@p495 @p494 @p493 @p492 @p489) :args (@t360)) % 0.52/0.72 (step @p497 :rule trans :premises (@p496 @p486)) % 0.52/0.72 (step @p498 :rule refl :args (@t345)) % 0.52/0.72 (step @p499 :rule cong :premises (@p498 @p497) :args ((=> @t345 @t360))) % 0.52/0.72 (assume-push @p507 @t345) % 0.52/0.72 (step @p501 :rule instantiate :premises (@p464) :args ((@list @t341 @t343 @t340))) % 0.52/0.72 (step-pop @p508 :rule scope :premises (@p501)) % 0.52/0.72 (step @p502 :rule process_scope :premises (@p508) :args (@t360)) % 0.52/0.72 (step @p504 :rule eq_resolve :premises (@p502 @p499)) % 0.52/0.72 (step @p505 :rule implies_elim :premises (@p504)) % 0.52/0.72 (step @p506 false :rule chain_m_resolution :premises (@p505 @p485 @p464) :args (false (@list true false) (@list @t356 @t345))) % 0.52/0.72 ) % 0.52/0.72 % SZS output end Proof % 0.52/0.72 % cvc5 exiting %------------------------------------------------------------------------------