%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC106+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 08:58:04 AM UTC 2026 % Result : Theorem 0.53s 0.73s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC106+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n015.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:15:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.35/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.73 % SZS status Theorem % 0.53/0.73 % SZS output start Proof % 0.53/0.73 ( % 0.53/0.73 (declare-sort $$unsorted 0) % 0.53/0.73 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.nil $$unsorted) % 0.53/0.73 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (define @t1 () (@var "V" $$unsorted)) % 0.53/0.73 (define @t2 () (@var "U" $$unsorted)) % 0.53/0.73 (define @t3 () (= @t2 @t1)) % 0.53/0.73 (define @t4 () (not @t3)) % 0.53/0.73 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.53/0.73 (define @t6 () (tptp.ssItem @t1)) % 0.53/0.73 (define @t7 () (@list @t1)) % 0.53/0.73 (define @t8 () (tptp.ssItem @t2)) % 0.53/0.73 (define @t9 () (@list @t2)) % 0.53/0.73 (define @t10 () (@var "X" $$unsorted)) % 0.53/0.73 (define @t11 () (tptp.cons @t1 @t10)) % 0.53/0.73 (define @t12 () (@var "W" $$unsorted)) % 0.53/0.73 (define @t13 () (tptp.ssList @t10)) % 0.53/0.73 (define @t14 () (@list @t10)) % 0.53/0.73 (define @t15 () (tptp.ssList @t12)) % 0.53/0.73 (define @t16 () (@list @t12)) % 0.53/0.73 (define @t17 () (tptp.ssList @t2)) % 0.53/0.73 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.53/0.73 (define @t19 () (tptp.app @t1 @t12)) % 0.53/0.73 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.53/0.73 (define @t21 () (tptp.ssList @t1)) % 0.53/0.73 (define @t22 () (tptp.app @t12 @t1)) % 0.53/0.73 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.53/0.73 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.53/0.73 (define @t25 () (tptp.leq @t12 @t1)) % 0.53/0.73 (define @t26 () (tptp.leq @t1 @t12)) % 0.53/0.73 (define @t27 () (@var "Z" $$unsorted)) % 0.53/0.73 (define @t28 () (@var "Y" $$unsorted)) % 0.53/0.73 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.53/0.73 (define @t30 () (tptp.ssList @t27)) % 0.53/0.73 (define @t31 () (@list @t27)) % 0.53/0.73 (define @t32 () (tptp.ssList @t28)) % 0.53/0.73 (define @t33 () (@list @t28)) % 0.53/0.73 (define @t34 () (tptp.ssItem @t12)) % 0.53/0.73 (define @t35 () (tptp.lt @t1 @t12)) % 0.53/0.73 (define @t36 () (= @t1 @t12)) % 0.53/0.73 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.53/0.73 (define @t38 () (=> @t17 @t37)) % 0.53/0.73 (define @t39 () (forall @t9 @t38)) % 0.53/0.73 (define @t40 () (tptp.cons @t1 @t2)) % 0.53/0.73 (define @t41 () (tptp.ssList tptp.nil)) % 0.53/0.73 (define @t42 () (not (= @t40 @t2))) % 0.53/0.73 (define @t43 () (=> @t6 @t42)) % 0.53/0.73 (define @t44 () (forall @t7 @t43)) % 0.53/0.73 (define @t45 () (=> @t17 @t44)) % 0.53/0.73 (define @t46 () (forall @t9 @t45)) % 0.53/0.73 (define @t47 () (= @t1 @t2)) % 0.53/0.73 (define @t48 () (tptp.cons @t12 @t1)) % 0.53/0.73 (define @t49 () (= tptp.nil @t2)) % 0.53/0.73 (define @t50 () (tptp.hd @t2)) % 0.53/0.73 (define @t51 () (not @t49)) % 0.53/0.73 (define @t52 () (tptp.tl @t2)) % 0.53/0.73 (define @t53 () (tptp.app @t2 @t1)) % 0.53/0.73 (define @t54 () (tptp.app @t1 @t2)) % 0.53/0.73 (define @t55 () (tptp.leq @t1 @t2)) % 0.53/0.73 (define @t56 () (tptp.leq @t2 @t1)) % 0.53/0.73 (define @t57 () (tptp.geq @t2 @t1)) % 0.53/0.73 (define @t58 () (tptp.lt @t1 @t2)) % 0.53/0.73 (define @t59 () (tptp.lt @t2 @t1)) % 0.53/0.73 (define @t60 () (tptp.lt @t2 @t12)) % 0.53/0.73 (define @t61 () (tptp.gt @t2 @t1)) % 0.53/0.73 (define @t62 () (tptp.memberP @t12 @t2)) % 0.53/0.73 (define @t63 () (tptp.rearsegP @t1 @t2)) % 0.53/0.73 (define @t64 () (tptp.rearsegP @t2 @t2)) % 0.53/0.73 (define @t65 () (forall @t9 (=> @t17 @t64))) % 0.53/0.73 (define @t66 () (tptp.app @t12 @t2)) % 0.53/0.73 (define @t67 () (tptp.rearsegP @t66 @t1)) % 0.53/0.73 (define @t68 () (=> @t23 @t67)) % 0.53/0.73 (define @t69 () (forall @t16 (=> @t15 @t68))) % 0.53/0.73 (define @t70 () (=> @t21 @t69)) % 0.53/0.73 (define @t71 () (forall @t7 @t70)) % 0.53/0.73 (define @t72 () (=> @t17 @t71)) % 0.53/0.73 (define @t73 () (forall @t9 @t72)) % 0.53/0.73 (define @t74 () (tptp.cons @t2 tptp.nil)) % 0.53/0.73 (define @t75 () (tptp.hd @t1)) % 0.53/0.73 (define @t76 () (= tptp.nil @t1)) % 0.53/0.73 (define @t77 () (not @t76)) % 0.53/0.73 (define @t78 () (tptp.cons @t2 @t1)) % 0.53/0.73 (define @t79 () (= @t12 @t2)) % 0.53/0.73 (define @t80 () (tptp.neq @t1 tptp.nil)) % 0.53/0.73 (define @t81 () (not @t80)) % 0.53/0.73 (define @t82 () (or @t81 (tptp.neq @t10 tptp.nil))) % 0.53/0.73 (define @t83 () (tptp.neq @t2 tptp.nil)) % 0.53/0.73 (define @t84 () (and @t83 @t63)) % 0.53/0.73 (define @t85 () (tptp.cons @t28 tptp.nil)) % 0.53/0.73 (define @t86 () (tptp.app @t27 @t85)) % 0.53/0.73 (define @t87 () (not (= @t86 @t10))) % 0.53/0.73 (define @t88 () (not (= @t85 @t12))) % 0.53/0.73 (define @t89 () (or @t88 @t87)) % 0.53/0.73 (define @t90 () (=> @t30 @t89)) % 0.53/0.73 (define @t91 () (forall @t31 @t90)) % 0.53/0.73 (define @t92 () (tptp.ssItem @t28)) % 0.53/0.73 (define @t93 () (=> @t92 @t91)) % 0.53/0.73 (define @t94 () (forall @t33 @t93)) % 0.53/0.73 (define @t95 () (or @t81 @t94 @t84)) % 0.53/0.73 (define @t96 () (and @t95 @t82)) % 0.53/0.73 (define @t97 () (not (= @t2 @t12))) % 0.53/0.73 (define @t98 () (not (= @t1 @t10))) % 0.53/0.73 (define @t99 () (or @t98 @t97 @t96)) % 0.53/0.73 (define @t100 () (=> @t13 @t99)) % 0.53/0.73 (define @t101 () (forall @t14 @t100)) % 0.53/0.73 (define @t102 () (=> @t15 @t101)) % 0.53/0.73 (define @t103 () (forall @t16 @t102)) % 0.53/0.73 (define @t104 () (=> @t21 @t103)) % 0.53/0.73 (define @t105 () (forall @t7 @t104)) % 0.53/0.73 (define @t106 () (=> @t17 @t105)) % 0.53/0.73 (define @t107 () (forall @t9 @t106)) % 0.53/0.73 (define @t108 () (not @t107)) % 0.53/0.73 (define @t109 () (@var "BOUND_VARIABLE_11104" $$unsorted)) % 0.53/0.73 (define @t110 () (not (tptp.ssList @t109))) % 0.53/0.73 (define @t111 () (@var "BOUND_VARIABLE_11102" $$unsorted)) % 0.53/0.73 (define @t112 () (not (tptp.ssItem @t111))) % 0.53/0.73 (define @t113 () (tptp.cons @t111 tptp.nil)) % 0.53/0.73 (define @t114 () (tptp.app @t109 @t113)) % 0.53/0.73 (define @t115 () (and (tptp.neq @t113 tptp.nil) (tptp.rearsegP @t114 @t113))) % 0.53/0.73 (define @t116 () (not (tptp.neq @t114 tptp.nil))) % 0.53/0.73 (define @t117 () (not (tptp.ssList @t114))) % 0.53/0.73 (define @t118 () (not (tptp.ssList @t113))) % 0.53/0.73 (define @t119 () (or @t118 @t117 @t116 @t115 @t112 @t110)) % 0.53/0.73 (define @t120 () (not (= @t113 @t113))) % 0.53/0.73 (define @t121 () (or @t118 @t117 @t116 @t115 @t112 @t120 @t110)) % 0.53/0.73 (define @t122 () (@list @t111 @t109)) % 0.53/0.73 (define @t123 () (not (= @t2 @t113))) % 0.53/0.73 (define @t124 () (and @t83 (tptp.rearsegP @t114 @t2))) % 0.53/0.73 (define @t125 () (not @t17)) % 0.53/0.73 (define @t126 () (or @t123 @t125 @t117 @t116 @t124 @t112 @t123 @t110)) % 0.53/0.73 (define @t127 () (or @t125 @t117 @t116 @t124 @t112 @t123 @t110)) % 0.53/0.73 (define @t128 () (forall @t9 @t127)) % 0.53/0.73 (define @t129 () (forall @t122 @t128)) % 0.53/0.73 (define @t130 () (forall (@list @t111 @t109 @t2) @t127)) % 0.53/0.73 (define @t131 () (@list @t2 @t111 @t109)) % 0.53/0.73 (define @t132 () (or @t117 @t116 @t124 @t112 @t123 @t110)) % 0.53/0.73 (define @t133 () (or @t125 @t132)) % 0.53/0.73 (define @t134 () (forall @t131 @t133)) % 0.53/0.73 (define @t135 () (forall @t122 @t133)) % 0.53/0.73 (define @t136 () (forall @t122 @t132)) % 0.53/0.73 (define @t137 () (@var "BOUND_VARIABLE_11066" $$unsorted)) % 0.53/0.73 (define @t138 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 0.53/0.73 (define @t139 () (@list @t138 @t137)) % 0.53/0.73 (define @t140 () (or @t125 @t136)) % 0.53/0.73 (define @t141 () (not (tptp.ssList @t137))) % 0.53/0.73 (define @t142 () (tptp.cons @t138 tptp.nil)) % 0.53/0.73 (define @t143 () (not (= @t2 @t142))) % 0.53/0.73 (define @t144 () (not (tptp.ssItem @t138))) % 0.53/0.73 (define @t145 () (tptp.app @t137 @t142)) % 0.53/0.73 (define @t146 () (and @t83 (tptp.rearsegP @t145 @t2))) % 0.53/0.73 (define @t147 () (not (tptp.neq @t145 tptp.nil))) % 0.53/0.73 (define @t148 () (not (tptp.ssList @t145))) % 0.53/0.73 (define @t149 () (or @t148 @t147 @t146 @t144 @t143 @t141)) % 0.53/0.73 (define @t150 () (@list @t138 @t137)) % 0.53/0.73 (define @t151 () (or @t125 (forall @t150 @t149))) % 0.53/0.73 (define @t152 () (not (= @t145 @t145))) % 0.53/0.73 (define @t153 () (or @t148 @t147 @t146 @t144 @t143 @t141 @t152)) % 0.53/0.73 (define @t154 () (not (= @t1 @t145))) % 0.53/0.73 (define @t155 () (not @t21)) % 0.53/0.73 (define @t156 () (or @t154 @t155 @t81 @t84 @t144 @t143 @t141 @t154)) % 0.53/0.73 (define @t157 () (or @t155 @t81 @t84 @t144 @t143 @t141 @t154)) % 0.53/0.73 (define @t158 () (forall @t7 @t157)) % 0.53/0.73 (define @t159 () (forall @t150 @t158)) % 0.53/0.73 (define @t160 () (forall (@list @t138 @t137 @t1) @t157)) % 0.53/0.73 (define @t161 () (@list @t1 @t138 @t137)) % 0.53/0.73 (define @t162 () (or @t144 @t143 @t141 @t154)) % 0.53/0.73 (define @t163 () (or @t155 @t81 @t84 @t162)) % 0.53/0.73 (define @t164 () (forall @t161 @t163)) % 0.53/0.73 (define @t165 () (forall @t150 @t163)) % 0.53/0.73 (define @t166 () (forall @t150 @t162)) % 0.53/0.73 (define @t167 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 0.53/0.73 (define @t168 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 0.53/0.73 (define @t169 () (@list @t168 @t167)) % 0.53/0.73 (define @t170 () (or @t155 @t81 @t84 @t166)) % 0.53/0.73 (define @t171 () (tptp.cons @t168 tptp.nil)) % 0.53/0.73 (define @t172 () (not (= @t1 (tptp.app @t167 @t171)))) % 0.53/0.73 (define @t173 () (not (tptp.ssList @t167))) % 0.53/0.73 (define @t174 () (not (= @t2 @t171))) % 0.53/0.73 (define @t175 () (not (tptp.ssItem @t168))) % 0.53/0.73 (define @t176 () (or @t175 @t174 @t173 @t172)) % 0.53/0.73 (define @t177 () (@list @t168 @t167)) % 0.53/0.73 (define @t178 () (forall @t177 @t176)) % 0.53/0.73 (define @t179 () (or @t155 @t81 @t84 @t178)) % 0.53/0.73 (define @t180 () (forall @t7 @t179)) % 0.53/0.73 (define @t181 () (or @t125 @t180)) % 0.53/0.73 (define @t182 () (or @t125 @t179)) % 0.53/0.73 (define @t183 () (or @t155 @t81 @t84 @t125 @t178)) % 0.53/0.73 (define @t184 () (or @t125 @t178)) % 0.53/0.73 (define @t185 () (or @t125 @t176)) % 0.53/0.73 (define @t186 () (or @t125 @t175 @t174 @t173 @t172)) % 0.53/0.73 (define @t187 () (not (= @t2 @t2))) % 0.53/0.73 (define @t188 () (or @t125 @t187 @t175 @t174 @t173 @t172)) % 0.53/0.73 (define @t189 () (not (= @t12 @t171))) % 0.53/0.73 (define @t190 () (not @t15)) % 0.53/0.73 (define @t191 () (or @t97 @t190 @t97 @t175 @t189 @t173 @t172)) % 0.53/0.73 (define @t192 () (or @t190 @t97 @t175 @t189 @t173 @t172)) % 0.53/0.73 (define @t193 () (forall @t16 @t192)) % 0.53/0.73 (define @t194 () (forall @t177 @t193)) % 0.53/0.73 (define @t195 () (forall (@list @t168 @t167 @t12) @t192)) % 0.53/0.73 (define @t196 () (@list @t12 @t168 @t167)) % 0.53/0.73 (define @t197 () (or @t175 @t189 @t173 @t172)) % 0.53/0.73 (define @t198 () (or @t190 @t97 @t197)) % 0.53/0.73 (define @t199 () (forall @t196 @t198)) % 0.53/0.73 (define @t200 () (forall @t177 @t198)) % 0.53/0.73 (define @t201 () (forall @t177 @t197)) % 0.53/0.73 (define @t202 () (@var "BOUND_VARIABLE_10972" $$unsorted)) % 0.53/0.73 (define @t203 () (@var "BOUND_VARIABLE_10970" $$unsorted)) % 0.53/0.73 (define @t204 () (@list @t203 @t202)) % 0.53/0.73 (define @t205 () (or @t190 @t97 @t201)) % 0.53/0.73 (define @t206 () (tptp.cons @t203 tptp.nil)) % 0.53/0.73 (define @t207 () (tptp.app @t202 @t206)) % 0.53/0.73 (define @t208 () (not (= @t1 @t207))) % 0.53/0.73 (define @t209 () (not (tptp.ssList @t202))) % 0.53/0.73 (define @t210 () (not (= @t12 @t206))) % 0.53/0.73 (define @t211 () (not (tptp.ssItem @t203))) % 0.53/0.73 (define @t212 () (or @t211 @t210 @t209 @t208)) % 0.53/0.73 (define @t213 () (@list @t203 @t202)) % 0.53/0.73 (define @t214 () (forall @t213 @t212)) % 0.53/0.73 (define @t215 () (or @t190 @t97 @t214)) % 0.53/0.73 (define @t216 () (forall @t16 @t215)) % 0.53/0.73 (define @t217 () (or @t155 @t81 @t84 @t216)) % 0.53/0.73 (define @t218 () (or @t155 @t81 @t84 @t215)) % 0.53/0.73 (define @t219 () (or @t190 @t97 @t155 @t81 @t84 @t214)) % 0.53/0.73 (define @t220 () (or @t97 @t155 @t81 @t84 @t214)) % 0.53/0.73 (define @t221 () (or @t155 @t81 @t84 @t214)) % 0.53/0.73 (define @t222 () (or @t155 @t81 @t84 @t212)) % 0.53/0.73 (define @t223 () (or @t155 @t81 @t84 @t211 @t210 @t209 @t208)) % 0.53/0.73 (define @t224 () (or @t81 @t84 @t211 @t210 @t209 @t208)) % 0.53/0.73 (define @t225 () (and @t224 true)) % 0.53/0.73 (define @t226 () (or @t155 @t225)) % 0.53/0.73 (define @t227 () (and @t224 (or @t81 @t80))) % 0.53/0.73 (define @t228 () (or @t155 @t227)) % 0.53/0.73 (define @t229 () (not (= @t1 @t1))) % 0.53/0.73 (define @t230 () (or @t155 @t229 @t227)) % 0.53/0.73 (define @t231 () (not (= @t10 @t207))) % 0.53/0.73 (define @t232 () (or @t81 @t84 @t211 @t210 @t209 @t231)) % 0.53/0.73 (define @t233 () (and @t232 @t82)) % 0.53/0.73 (define @t234 () (not @t13)) % 0.53/0.73 (define @t235 () (or @t98 @t234 @t98 @t233)) % 0.53/0.73 (define @t236 () (or @t234 @t98 @t233)) % 0.53/0.73 (define @t237 () (forall @t14 @t236)) % 0.53/0.73 (define @t238 () (forall @t213 @t237)) % 0.53/0.73 (define @t239 () (forall (@list @t203 @t202 @t10) @t236)) % 0.53/0.73 (define @t240 () (@list @t10 @t203 @t202)) % 0.53/0.73 (define @t241 () (or @t211 @t210 @t209 @t231)) % 0.53/0.73 (define @t242 () (or @t81 @t241 @t84)) % 0.53/0.73 (define @t243 () (and @t242 @t82)) % 0.53/0.73 (define @t244 () (or @t234 @t98 @t243)) % 0.53/0.73 (define @t245 () (forall @t240 @t244)) % 0.53/0.73 (define @t246 () (forall @t213 @t244)) % 0.53/0.73 (define @t247 () (forall @t213 @t82)) % 0.53/0.73 (define @t248 () (forall @t213 @t241)) % 0.53/0.73 (define @t249 () (@var "BOUND_VARIABLE_10947" $$unsorted)) % 0.53/0.73 (define @t250 () (or @t81 @t248 @t84)) % 0.53/0.73 (define @t251 () (forall @t213 @t242)) % 0.53/0.73 (define @t252 () (and @t251 @t247)) % 0.53/0.73 (define @t253 () (forall @t213 @t243)) % 0.53/0.73 (define @t254 () (or @t234 @t98 @t253)) % 0.53/0.73 (define @t255 () (not (= @t10 (tptp.app @t249 @t85)))) % 0.53/0.73 (define @t256 () (not (tptp.ssList @t249))) % 0.53/0.73 (define @t257 () (not (= @t12 @t85))) % 0.53/0.73 (define @t258 () (not @t92)) % 0.53/0.73 (define @t259 () (or @t258 @t257 @t256 @t255)) % 0.53/0.73 (define @t260 () (@list @t28 @t249)) % 0.53/0.73 (define @t261 () (and (or @t81 (forall @t260 @t259) @t84) @t82)) % 0.53/0.73 (define @t262 () (or @t234 @t98 @t261)) % 0.53/0.73 (define @t263 () (forall @t14 @t262)) % 0.53/0.73 (define @t264 () (or @t97 @t263)) % 0.53/0.73 (define @t265 () (or @t97 @t262)) % 0.53/0.73 (define @t266 () (or @t234 @t98 @t97 @t261)) % 0.53/0.73 (define @t267 () (or @t98 @t97 @t261)) % 0.53/0.73 (define @t268 () (or @t256 @t255)) % 0.53/0.73 (define @t269 () (or @t258 @t257 @t268)) % 0.53/0.73 (define @t270 () (forall @t260 @t269)) % 0.53/0.73 (define @t271 () (@list @t249)) % 0.53/0.73 (define @t272 () (forall @t271 @t269)) % 0.53/0.73 (define @t273 () (forall @t271 @t268)) % 0.53/0.73 (define @t274 () (or @t258 @t257 @t273)) % 0.53/0.73 (define @t275 () (not (= @t10 @t86))) % 0.53/0.73 (define @t276 () (not @t30)) % 0.53/0.73 (define @t277 () (or @t276 @t275)) % 0.53/0.73 (define @t278 () (forall @t31 @t277)) % 0.53/0.73 (define @t279 () (or @t258 @t257 @t278)) % 0.53/0.73 (define @t280 () (or @t257 @t278)) % 0.53/0.73 (define @t281 () (or @t257 @t277)) % 0.53/0.73 (define @t282 () (or @t276 @t257 @t275)) % 0.53/0.73 (define @t283 () (or @t257 @t275)) % 0.53/0.73 (define @t284 () (forall @t122 @t119)) % 0.53/0.73 (define @t285 () (@quantifiers_skolemize @t284 1)) % 0.53/0.73 (define @t286 () (tptp.ssList @t285)) % 0.53/0.73 (define @t287 () (not @t286)) % 0.53/0.73 (define @t288 () (@quantifiers_skolemize @t284 0)) % 0.53/0.73 (define @t289 () (tptp.ssItem @t288)) % 0.53/0.73 (define @t290 () (not @t289)) % 0.53/0.73 (define @t291 () (tptp.cons @t288 tptp.nil)) % 0.53/0.73 (define @t292 () (tptp.app @t285 @t291)) % 0.53/0.73 (define @t293 () (tptp.rearsegP @t292 @t291)) % 0.53/0.73 (define @t294 () (tptp.neq @t291 tptp.nil)) % 0.53/0.73 (define @t295 () (and @t294 @t293)) % 0.53/0.73 (define @t296 () (tptp.ssList @t291)) % 0.53/0.73 (define @t297 () (not @t296)) % 0.53/0.73 (define @t298 () (or @t297 (not (tptp.ssList @t292)) (not (tptp.neq @t292 tptp.nil)) @t295 @t290 @t287)) % 0.53/0.73 (define @t299 () (@list true)) % 0.53/0.73 (define @t300 () (@list @t298)) % 0.53/0.73 (define @t301 () (@var "BOUND_VARIABLE_9107" $$unsorted)) % 0.53/0.73 (define @t302 () (= (tptp.neq @t2 @t301) (not (= @t2 @t301)))) % 0.53/0.73 (define @t303 () (not (tptp.ssList @t301))) % 0.53/0.73 (define @t304 () (or @t125 @t303 @t302)) % 0.53/0.73 (define @t305 () (or @t303 @t302)) % 0.53/0.73 (define @t306 () (or @t125 @t305)) % 0.53/0.73 (define @t307 () (@list @t2 @t301)) % 0.53/0.73 (define @t308 () (forall @t307 @t306)) % 0.53/0.73 (define @t309 () (@list @t301)) % 0.53/0.73 (define @t310 () (forall @t309 @t306)) % 0.53/0.73 (define @t311 () (forall @t309 @t305)) % 0.53/0.73 (define @t312 () (@list @t1)) % 0.53/0.73 (define @t313 () (or @t125 @t311)) % 0.53/0.73 (define @t314 () (forall @t7 (or @t155 @t5))) % 0.53/0.73 (define @t315 () (not (= @t291 tptp.nil))) % 0.53/0.73 (define @t316 () (= @t294 @t315)) % 0.53/0.73 (define @t317 () (not @t41)) % 0.53/0.73 (define @t318 () (or @t297 @t317 @t316)) % 0.53/0.73 (define @t319 () (forall @t307 @t304)) % 0.53/0.73 (define @t320 () (= tptp.nil @t291)) % 0.53/0.73 (define @t321 () (not @t320)) % 0.53/0.73 (define @t322 () (= @t294 @t321)) % 0.53/0.73 (define @t323 () (or @t297 @t317 @t322)) % 0.53/0.73 (define @t324 () (@list false false false)) % 0.53/0.73 (define @t325 () (@var "BOUND_VARIABLE_9151" $$unsorted)) % 0.53/0.73 (define @t326 () (not (= @t2 (tptp.cons @t325 @t2)))) % 0.53/0.73 (define @t327 () (not (tptp.ssItem @t325))) % 0.53/0.73 (define @t328 () (or @t327 @t326)) % 0.53/0.73 (define @t329 () (or @t125 @t328)) % 0.53/0.73 (define @t330 () (forall (@list @t2 @t325) @t329)) % 0.53/0.73 (define @t331 () (@list @t325)) % 0.53/0.73 (define @t332 () (forall @t331 @t329)) % 0.53/0.73 (define @t333 () (forall @t331 @t328)) % 0.53/0.73 (define @t334 () (or @t125 @t333)) % 0.53/0.73 (define @t335 () (not (= @t2 @t40))) % 0.53/0.73 (define @t336 () (forall @t7 (or (not @t6) @t335))) % 0.53/0.73 (define @t337 () (or @t317 @t290 @t321)) % 0.53/0.73 (define @t338 () (not @t322)) % 0.53/0.73 (define @t339 () (@var "BOUND_VARIABLE_10045" $$unsorted)) % 0.53/0.73 (define @t340 () (@var "BOUND_VARIABLE_10047" $$unsorted)) % 0.53/0.73 (define @t341 () (tptp.rearsegP (tptp.app @t340 @t2) @t339)) % 0.53/0.73 (define @t342 () (not (tptp.ssList @t340))) % 0.53/0.73 (define @t343 () (not (tptp.rearsegP @t2 @t339))) % 0.53/0.73 (define @t344 () (not (tptp.ssList @t339))) % 0.53/0.73 (define @t345 () (or @t344 @t343 @t342 @t341)) % 0.53/0.73 (define @t346 () (or @t125 @t345)) % 0.53/0.73 (define @t347 () (forall (@list @t2 @t339 @t340) @t346)) % 0.53/0.73 (define @t348 () (@list @t339 @t340)) % 0.53/0.73 (define @t349 () (forall @t348 @t346)) % 0.53/0.73 (define @t350 () (forall @t348 @t345)) % 0.53/0.73 (define @t351 () (@var "BOUND_VARIABLE_10029" $$unsorted)) % 0.53/0.73 (define @t352 () (or @t125 @t350)) % 0.53/0.73 (define @t353 () (tptp.rearsegP (tptp.app @t351 @t2) @t1)) % 0.53/0.73 (define @t354 () (not (tptp.ssList @t351))) % 0.53/0.73 (define @t355 () (not @t23)) % 0.53/0.73 (define @t356 () (or @t155 @t355 @t354 @t353)) % 0.53/0.73 (define @t357 () (@list @t1 @t351)) % 0.53/0.73 (define @t358 () (forall @t357 @t356)) % 0.53/0.73 (define @t359 () (or @t354 @t353)) % 0.53/0.73 (define @t360 () (or @t155 @t355 @t359)) % 0.53/0.73 (define @t361 () (forall @t357 @t360)) % 0.53/0.73 (define @t362 () (@list @t351)) % 0.53/0.73 (define @t363 () (forall @t362 @t360)) % 0.53/0.73 (define @t364 () (forall @t362 @t359)) % 0.53/0.73 (define @t365 () (or @t155 @t355 @t364)) % 0.53/0.73 (define @t366 () (or @t190 @t67)) % 0.53/0.73 (define @t367 () (forall @t16 @t366)) % 0.53/0.73 (define @t368 () (or @t155 @t355 @t367)) % 0.53/0.73 (define @t369 () (or @t355 @t367)) % 0.53/0.73 (define @t370 () (or @t355 @t366)) % 0.53/0.73 (define @t371 () (or @t190 @t355 @t67)) % 0.53/0.73 (define @t372 () (tptp.rearsegP @t291 @t291)) % 0.53/0.73 (define @t373 () (or @t297 @t372)) % 0.53/0.73 (define @t374 () (not @t372)) % 0.53/0.73 (define @t375 () (or @t297 @t297 @t374 @t287 @t293)) % 0.53/0.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.53/0.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.53/0.73 (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))))))))))) % 0.53/0.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.53/0.73 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.53/0.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.53/0.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.53/0.73 (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))))))))))))))))) % 0.53/0.73 (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)))))))))))))))) % 0.53/0.73 (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))))))))))))))))) % 0.53/0.73 (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))))))))))))))) % 0.53/0.73 (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))))))))))))))) % 0.53/0.73 (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)))))))))))))))) % 0.53/0.73 (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))))))))))))) % 0.53/0.73 (assume @p15 @t39) % 0.53/0.73 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 0.53/0.73 (assume @p17 @t41) % 0.53/0.73 (assume @p18 @t46) % 0.53/0.73 (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) @t47))))))))))) % 0.53/0.73 (assume @p20 (forall @t9 (=> @t17 (or @t49 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t48 @t2))))))))) % 0.53/0.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.53/0.73 (assume @p22 (forall @t9 (=> @t17 (=> @t51 (tptp.ssItem @t50))))) % 0.53/0.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.53/0.73 (assume @p24 (forall @t9 (=> @t17 (=> @t51 (tptp.ssList @t52))))) % 0.53/0.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.53/0.73 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t53)))))) % 0.53/0.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t54) (tptp.app @t48 @t2))))))))) % 0.53/0.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.53/0.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 @t55) @t3)))))) % 0.53/0.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 @t26) (tptp.leq @t2 @t12))))))))) % 0.53/0.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.53/0.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t55)))))) % 0.53/0.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (not @t58))))))) % 0.53/0.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t59 @t35) @t60)))))))) % 0.53/0.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 @t58)))))) % 0.53/0.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t62))))))))) % 0.53/0.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t62))))))))) % 0.53/0.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.53/0.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.53/0.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.53/0.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.53/0.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.53/0.73 (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)))))))))))) % 0.53/0.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.53/0.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t49)))) % 0.53/0.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.53/0.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 @t63) @t3)))))) % 0.53/0.73 (assume @p49 @t65) % 0.53/0.73 (assume @p50 @t73) % 0.53/0.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.53/0.73 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t49)))) % 0.53/0.73 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.53/0.73 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.53/0.73 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t66 @t10) @t1))))))))))) % 0.53/0.73 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.53/0.73 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t49)))) % 0.53/0.73 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t74)))) % 0.53/0.73 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.53/0.73 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t74)))) % 0.53/0.73 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.53/0.73 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t74)))) % 0.53/0.73 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.53/0.73 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t74)))) % 0.53/0.73 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.53/0.73 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t78) (or @t76 (and @t77 (tptp.totalorderedP @t1) (tptp.leq @t2 @t75))))))))) % 0.53/0.73 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t74)))) % 0.53/0.73 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.53/0.73 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t78) (or @t76 (and @t77 (tptp.strictorderedP @t1) (tptp.lt @t2 @t75))))))))) % 0.53/0.73 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t74)))) % 0.53/0.73 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.53/0.73 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t74)))) % 0.53/0.73 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.53/0.73 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t50 @t1))))))) % 0.53/0.73 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t52 @t1))))))) % 0.53/0.73 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t77 @t51 (= @t75 @t50) (= (tptp.tl @t1) @t52)) @t47)))))) % 0.53/0.73 (assume @p78 (forall @t9 (=> @t17 (=> @t51 (= (tptp.cons @t50 @t52) @t2))))) % 0.53/0.73 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t53) @t79)))))))) % 0.53/0.73 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t54) @t79)))))))) % 0.53/0.73 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.53/0.73 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t53 @t12) (tptp.app @t2 @t19))))))))) % 0.53/0.73 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t53) (and @t76 @t49))))))) % 0.53/0.73 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.53/0.73 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t53) @t50))))))) % 0.53/0.73 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t53) (tptp.app @t52 @t1)))))))) % 0.53/0.73 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t57 (tptp.geq @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.53/0.73 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.53/0.73 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.53/0.73 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 @t35) @t60)))))))) % 0.53/0.73 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (or @t3 @t59))))))) % 0.53/0.73 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 (and @t4 @t56))))))) % 0.53/0.73 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not (tptp.gt @t1 @t2)))))))) % 0.53/0.73 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t61 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.53/0.73 (assume @p96 @t108) % 0.53/0.73 (assume @p97 true) % 0.53/0.73 (step @p98 :rule aci_norm :args ((= (or @t118 @t117 @t116 @t115 @t112 false @t110) @t119))) % 0.53/0.73 (step @p99 :rule refl :args (@t110)) % 0.53/0.73 (step @p100 :rule evaluate :args ((not true))) % 0.53/0.73 (step @p101 :rule eq-refl :args (@t113)) % 0.53/0.73 (step @p102 :rule cong :premises (@p101) :args (@t120)) % 0.53/0.73 (step @p103 :rule trans :premises (@p102 @p100)) % 0.53/0.73 (step @p104 :rule refl :args (@t112)) % 0.53/0.73 (step @p105 :rule refl :args (@t115)) % 0.53/0.73 (step @p106 :rule refl :args (@t116)) % 0.53/0.73 (step @p107 :rule refl :args (@t117)) % 0.53/0.73 (step @p108 :rule refl :args (@t118)) % 0.53/0.73 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p104 @p103 @p99) :args (@t121)) % 0.53/0.73 (step @p110 :rule trans :premises (@p109 @p98)) % 0.53/0.73 (step @p111 :rule cong :premises (@p110) :args ((forall @t122 @t121))) % 0.53/0.73 (step @p112 :rule quant-var-elim-eq :args ((= (forall @t9 @t126) @t121))) % 0.53/0.73 (step @p113 :rule aci_norm :args ((= @t127 @t126))) % 0.53/0.73 (step @p114 :rule cong :premises (@p113) :args (@t128)) % 0.53/0.73 (step @p115 :rule trans :premises (@p114 @p112)) % 0.53/0.73 (step @p116 :rule cong :premises (@p115) :args (@t129)) % 0.53/0.73 (step @p117 :rule quant-merge-prenex :args ((= @t129 @t130))) % 0.53/0.73 (step @p118 :rule symm :premises (@p117)) % 0.53/0.73 (step @p119 :rule quant_var_reordering :args ((= (forall @t131 @t127) @t130))) % 0.53/0.73 (step @p120 :rule trans :premises (@p119 @p118 @p116)) % 0.53/0.73 (step @p121 :rule trans :premises (@p120 @p111)) % 0.53/0.73 (step @p122 :rule aci_norm :args ((= @t133 @t127))) % 0.53/0.73 (step @p123 :rule cong :premises (@p122) :args (@t134)) % 0.53/0.73 (step @p124 :rule trans :premises (@p123 @p121)) % 0.53/0.73 (step @p125 :rule quant-merge-prenex :args ((= (forall @t9 @t135) @t134))) % 0.53/0.73 (step @p126 :rule alpha_equiv :args (@t136 (@list @t111 @t109) @t139)) % 0.53/0.73 (step @p127 :rule refl :args (@t125)) % 0.53/0.73 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t140)) % 0.53/0.73 (step @p129 :rule quant-miniscope-or :args ((= @t135 @t140))) % 0.53/0.73 (step @p130 :rule trans :premises (@p129 @p128)) % 0.53/0.73 (step @p131 :rule symm :premises (@p130)) % 0.53/0.73 (step @p132 :rule cong :premises (@p131) :args ((forall @t9 @t151))) % 0.53/0.73 (step @p133 :rule trans :premises (@p132 @p125)) % 0.53/0.73 (step @p134 :rule trans :premises (@p133 @p124)) % 0.53/0.73 (step @p135 :rule aci_norm :args ((= (or @t125 @t151) @t151))) % 0.53/0.73 (step @p136 :rule bool-impl-elim :args (@t17 @t151)) % 0.53/0.73 (step @p137 :rule trans :premises (@p136 @p135)) % 0.53/0.73 (step @p138 :rule cong :premises (@p137) :args ((forall @t9 (=> @t17 @t151)))) % 0.53/0.73 (step @p139 :rule trans :premises (@p138 @p134)) % 0.53/0.73 (step @p140 :rule aci_norm :args ((= (or @t148 @t147 @t146 @t144 @t143 @t141 false) @t149))) % 0.53/0.73 (step @p141 :rule eq-refl :args (@t145)) % 0.53/0.73 (step @p142 :rule cong :premises (@p141) :args (@t152)) % 0.53/0.73 (step @p143 :rule trans :premises (@p142 @p100)) % 0.53/0.73 (step @p144 :rule refl :args (@t141)) % 0.53/0.73 (step @p145 :rule refl :args (@t143)) % 0.53/0.73 (step @p146 :rule refl :args (@t144)) % 0.53/0.73 (step @p147 :rule refl :args (@t146)) % 0.53/0.73 (step @p148 :rule refl :args (@t147)) % 0.53/0.73 (step @p149 :rule refl :args (@t148)) % 0.53/0.73 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146 @p145 @p144 @p143) :args (@t153)) % 0.53/0.73 (step @p151 :rule trans :premises (@p150 @p140)) % 0.53/0.73 (step @p152 :rule cong :premises (@p151) :args ((forall @t150 @t153))) % 0.53/0.73 (step @p153 :rule quant-var-elim-eq :args ((= (forall @t7 @t156) @t153))) % 0.53/0.73 (step @p154 :rule aci_norm :args ((= @t157 @t156))) % 0.53/0.73 (step @p155 :rule cong :premises (@p154) :args (@t158)) % 0.53/0.73 (step @p156 :rule trans :premises (@p155 @p153)) % 0.53/0.73 (step @p157 :rule cong :premises (@p156) :args (@t159)) % 0.53/0.73 (step @p158 :rule quant-merge-prenex :args ((= @t159 @t160))) % 0.53/0.73 (step @p159 :rule symm :premises (@p158)) % 0.53/0.73 (step @p160 :rule quant_var_reordering :args ((= (forall @t161 @t157) @t160))) % 0.53/0.73 (step @p161 :rule trans :premises (@p160 @p159 @p157)) % 0.53/0.73 (step @p162 :rule trans :premises (@p161 @p152)) % 0.53/0.73 (step @p163 :rule aci_norm :args ((= @t163 @t157))) % 0.53/0.73 (step @p164 :rule cong :premises (@p163) :args (@t164)) % 0.53/0.73 (step @p165 :rule trans :premises (@p164 @p162)) % 0.53/0.73 (step @p166 :rule quant-merge-prenex :args ((= (forall @t7 @t165) @t164))) % 0.53/0.73 (step @p167 :rule alpha_equiv :args (@t166 @t139 @t169)) % 0.53/0.73 (step @p168 :rule refl :args (@t84)) % 0.53/0.73 (step @p169 :rule refl :args (@t81)) % 0.53/0.73 (step @p170 :rule refl :args (@t155)) % 0.53/0.73 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p167) :args (@t170)) % 0.53/0.73 (step @p172 :rule quant-miniscope-or :args ((= @t165 @t170))) % 0.53/0.73 (step @p173 :rule trans :premises (@p172 @p171)) % 0.53/0.73 (step @p174 :rule symm :premises (@p173)) % 0.53/0.73 (step @p175 :rule cong :premises (@p174) :args (@t180)) % 0.53/0.73 (step @p176 :rule trans :premises (@p175 @p166)) % 0.53/0.73 (step @p177 :rule trans :premises (@p176 @p165)) % 0.53/0.73 (step @p178 :rule refl :args (@t125)) % 0.53/0.73 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t181)) % 0.53/0.73 (step @p180 :rule quant-miniscope-or :args ((= (forall @t7 @t182) @t181))) % 0.53/0.73 (step @p181 :rule aci_norm :args ((= @t183 @t182))) % 0.53/0.73 (step @p182 :rule cong :premises (@p181) :args ((forall @t7 @t183))) % 0.53/0.73 (step @p183 :rule trans :premises (@p182 @p180)) % 0.53/0.73 (step @p184 :rule trans :premises (@p183 @p179)) % 0.53/0.73 (step @p185 :rule aci_norm :args ((= (or @t155 @t183) @t183))) % 0.53/0.73 (step @p186 :rule bool-impl-elim :args (@t21 @t183)) % 0.53/0.73 (step @p187 :rule trans :premises (@p186 @p185)) % 0.53/0.73 (step @p188 :rule cong :premises (@p187) :args ((forall @t7 (=> @t21 @t183)))) % 0.53/0.73 (step @p189 :rule trans :premises (@p188 @p184)) % 0.53/0.73 (step @p190 :rule aci_norm :args ((= (or @t155 @t81 @t84 @t184) @t183))) % 0.53/0.73 (step @p191 :rule quant-miniscope-or :args ((= (forall @t177 @t185) @t184))) % 0.53/0.73 (step @p192 :rule aci_norm :args ((= @t186 @t185))) % 0.53/0.73 (step @p193 :rule cong :premises (@p192) :args ((forall @t177 @t186))) % 0.53/0.73 (step @p194 :rule trans :premises (@p193 @p191)) % 0.53/0.73 (step @p195 :rule aci_norm :args ((= (or @t125 false @t175 @t174 @t173 @t172) @t186))) % 0.53/0.73 (step @p196 :rule refl :args (@t172)) % 0.53/0.73 (step @p197 :rule refl :args (@t173)) % 0.53/0.73 (step @p198 :rule refl :args (@t174)) % 0.53/0.73 (step @p199 :rule refl :args (@t175)) % 0.53/0.73 (step @p200 :rule eq-refl :args (@t2)) % 0.53/0.73 (step @p201 :rule cong :premises (@p200) :args (@t187)) % 0.53/0.73 (step @p202 :rule trans :premises (@p201 @p100)) % 0.53/0.73 (step @p203 :rule nary_cong :premises (@p178 @p202 @p199 @p198 @p197 @p196) :args (@t188)) % 0.53/0.73 (step @p204 :rule trans :premises (@p203 @p195)) % 0.53/0.73 (step @p205 :rule cong :premises (@p204) :args ((forall @t177 @t188))) % 0.53/0.73 (step @p206 :rule trans :premises (@p205 @p194)) % 0.53/0.73 (step @p207 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t79) @t190 @t97 @t175 @t189 @t173 @t172)) @t188))) % 0.53/0.73 (step @p208 :rule refl :args (@t172)) % 0.53/0.73 (step @p209 :rule refl :args (@t173)) % 0.53/0.73 (step @p210 :rule refl :args (@t189)) % 0.53/0.73 (step @p211 :rule refl :args (@t175)) % 0.53/0.73 (step @p212 :rule refl :args (@t97)) % 0.53/0.73 (step @p213 :rule refl :args (@t190)) % 0.53/0.73 (step @p214 :rule eq-symm :args (@t2 @t12)) % 0.53/0.73 (step @p215 :rule cong :premises (@p214) :args (@t97)) % 0.53/0.73 (step @p216 :rule nary_cong :premises (@p215 @p213 @p212 @p211 @p210 @p209 @p208) :args (@t191)) % 0.53/0.73 (step @p217 :rule aci_norm :args ((= @t192 @t191))) % 0.53/0.73 (step @p218 :rule trans :premises (@p217 @p216)) % 0.53/0.73 (step @p219 :rule cong :premises (@p218) :args (@t193)) % 0.53/0.73 (step @p220 :rule trans :premises (@p219 @p207)) % 0.53/0.73 (step @p221 :rule cong :premises (@p220) :args (@t194)) % 0.53/0.73 (step @p222 :rule quant-merge-prenex :args ((= @t194 @t195))) % 0.53/0.73 (step @p223 :rule symm :premises (@p222)) % 0.53/0.73 (step @p224 :rule quant_var_reordering :args ((= (forall @t196 @t192) @t195))) % 0.53/0.73 (step @p225 :rule trans :premises (@p224 @p223 @p221)) % 0.53/0.73 (step @p226 :rule trans :premises (@p225 @p206)) % 0.53/0.73 (step @p227 :rule aci_norm :args ((= @t198 @t192))) % 0.53/0.73 (step @p228 :rule cong :premises (@p227) :args (@t199)) % 0.53/0.73 (step @p229 :rule trans :premises (@p228 @p226)) % 0.53/0.73 (step @p230 :rule quant-merge-prenex :args ((= (forall @t16 @t200) @t199))) % 0.53/0.73 (step @p231 :rule alpha_equiv :args (@t201 @t169 @t204)) % 0.53/0.73 (step @p232 :rule nary_cong :premises (@p213 @p212 @p231) :args (@t205)) % 0.53/0.73 (step @p233 :rule quant-miniscope-or :args ((= @t200 @t205))) % 0.53/0.73 (step @p234 :rule trans :premises (@p233 @p232)) % 0.53/0.73 (step @p235 :rule symm :premises (@p234)) % 0.53/0.73 (step @p236 :rule cong :premises (@p235) :args (@t216)) % 0.53/0.73 (step @p237 :rule trans :premises (@p236 @p230)) % 0.53/0.73 (step @p238 :rule trans :premises (@p237 @p229)) % 0.53/0.73 (step @p239 :rule refl :args (@t84)) % 0.53/0.73 (step @p240 :rule refl :args (@t81)) % 0.53/0.73 (step @p241 :rule refl :args (@t155)) % 0.53/0.73 (step @p242 :rule nary_cong :premises (@p241 @p240 @p239 @p238) :args (@t217)) % 0.53/0.73 (step @p243 :rule trans :premises (@p242 @p190)) % 0.53/0.73 (step @p244 :rule quant-miniscope-or :args ((= (forall @t16 @t218) @t217))) % 0.53/0.73 (step @p245 :rule aci_norm :args ((= @t219 @t218))) % 0.53/0.73 (step @p246 :rule cong :premises (@p245) :args ((forall @t16 @t219))) % 0.53/0.73 (step @p247 :rule trans :premises (@p246 @p244)) % 0.53/0.73 (step @p248 :rule trans :premises (@p247 @p243)) % 0.53/0.73 (step @p249 :rule aci_norm :args ((= (or @t190 @t220) @t219))) % 0.53/0.73 (step @p250 :rule bool-impl-elim :args (@t15 @t220)) % 0.53/0.73 (step @p251 :rule trans :premises (@p250 @p249)) % 0.53/0.73 (step @p252 :rule cong :premises (@p251) :args ((forall @t16 (=> @t15 @t220)))) % 0.53/0.73 (step @p253 :rule trans :premises (@p252 @p248)) % 0.53/0.73 (step @p254 :rule aci_norm :args ((= (or @t97 @t221) @t220))) % 0.53/0.73 (step @p255 :rule quant-miniscope-or :args ((= (forall @t213 @t222) @t221))) % 0.53/0.73 (step @p256 :rule aci_norm :args ((= @t223 @t222))) % 0.53/0.73 (step @p257 :rule cong :premises (@p256) :args ((forall @t213 @t223))) % 0.53/0.73 (step @p258 :rule trans :premises (@p257 @p255)) % 0.53/0.73 (step @p259 :rule aci_norm :args ((= (or @t155 @t224) @t223))) % 0.53/0.73 (step @p260 :rule aci_norm :args ((= @t225 @t224))) % 0.53/0.73 (step @p261 :rule nary_cong :premises (@p241 @p260) :args (@t226)) % 0.53/0.73 (step @p262 :rule trans :premises (@p261 @p259)) % 0.53/0.73 (step @p263 :rule cong :premises (@p262) :args ((forall @t213 @t226))) % 0.53/0.73 (step @p264 :rule trans :premises (@p263 @p258)) % 0.53/0.73 (step @p265 :rule bool-or-taut2 :args (false @t80 false false)) % 0.53/0.73 (step @p266 :rule refl :args (@t224)) % 0.53/0.73 (step @p267 :rule nary_cong :premises (@p266 @p265) :args (@t227)) % 0.53/0.73 (step @p268 :rule nary_cong :premises (@p170 @p267) :args (@t228)) % 0.53/0.73 (step @p269 :rule cong :premises (@p268) :args ((forall @t213 @t228))) % 0.53/0.73 (step @p270 :rule trans :premises (@p269 @p264)) % 0.53/0.73 (step @p271 :rule aci_norm :args ((= (or @t155 false @t227) @t228))) % 0.53/0.73 (step @p272 :rule refl :args (@t227)) % 0.53/0.73 (step @p273 :rule eq-refl :args (@t1)) % 0.53/0.73 (step @p274 :rule cong :premises (@p273) :args (@t229)) % 0.53/0.73 (step @p275 :rule trans :premises (@p274 @p100)) % 0.53/0.73 (step @p276 :rule nary_cong :premises (@p241 @p275 @p272) :args (@t230)) % 0.53/0.73 (step @p277 :rule trans :premises (@p276 @p271)) % 0.53/0.73 (step @p278 :rule cong :premises (@p277) :args ((forall @t213 @t230))) % 0.53/0.73 (step @p279 :rule trans :premises (@p278 @p270)) % 0.53/0.73 (step @p280 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t234 @t98 @t233)) @t230))) % 0.53/0.73 (step @p281 :rule refl :args (@t233)) % 0.53/0.73 (step @p282 :rule refl :args (@t98)) % 0.53/0.73 (step @p283 :rule refl :args (@t234)) % 0.53/0.73 (step @p284 :rule eq-symm :args (@t1 @t10)) % 0.53/0.73 (step @p285 :rule cong :premises (@p284) :args (@t98)) % 0.53/0.73 (step @p286 :rule nary_cong :premises (@p285 @p283 @p282 @p281) :args (@t235)) % 0.53/0.73 (step @p287 :rule aci_norm :args ((= @t236 @t235))) % 0.53/0.73 (step @p288 :rule trans :premises (@p287 @p286)) % 0.53/0.73 (step @p289 :rule cong :premises (@p288) :args (@t237)) % 0.53/0.73 (step @p290 :rule trans :premises (@p289 @p280)) % 0.53/0.73 (step @p291 :rule cong :premises (@p290) :args (@t238)) % 0.53/0.73 (step @p292 :rule quant-merge-prenex :args ((= @t238 @t239))) % 0.53/0.73 (step @p293 :rule symm :premises (@p292)) % 0.53/0.73 (step @p294 :rule quant_var_reordering :args ((= (forall @t240 @t236) @t239))) % 0.53/0.73 (step @p295 :rule trans :premises (@p294 @p293 @p291)) % 0.53/0.73 (step @p296 :rule trans :premises (@p295 @p279)) % 0.53/0.73 (step @p297 :rule refl :args (@t82)) % 0.53/0.73 (step @p298 :rule aci_norm :args ((= @t242 @t232))) % 0.53/0.73 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t243)) % 0.53/0.73 (step @p300 :rule refl :args (@t98)) % 0.53/0.73 (step @p301 :rule refl :args (@t234)) % 0.53/0.73 (step @p302 :rule nary_cong :premises (@p301 @p300 @p299) :args (@t244)) % 0.53/0.73 (step @p303 :rule cong :premises (@p302) :args (@t245)) % 0.53/0.73 (step @p304 :rule trans :premises (@p303 @p296)) % 0.53/0.73 (step @p305 :rule quant-merge-prenex :args ((= (forall @t14 @t246) @t245))) % 0.53/0.73 (step @p306 :rule quant-unused-vars :args ((= @t247 @t82))) % 0.53/0.73 (step @p307 :rule alpha_equiv :args (@t248 @t204 (@list @t28 @t249))) % 0.53/0.73 (step @p308 :rule nary_cong :premises (@p169 @p307 @p168) :args (@t250)) % 0.53/0.73 (step @p309 :rule quant-miniscope-or :args ((= @t251 @t250))) % 0.53/0.73 (step @p310 :rule trans :premises (@p309 @p308)) % 0.53/0.73 (step @p311 :rule nary_cong :premises (@p310 @p306) :args (@t252)) % 0.53/0.73 (step @p312 :rule quant-miniscope-and :args ((= @t253 @t252))) % 0.53/0.73 (step @p313 :rule trans :premises (@p312 @p311)) % 0.53/0.73 (step @p314 :rule nary_cong :premises (@p283 @p282 @p313) :args (@t254)) % 0.53/0.73 (step @p315 :rule quant-miniscope-or :args ((= @t246 @t254))) % 0.53/0.73 (step @p316 :rule trans :premises (@p315 @p314)) % 0.53/0.73 (step @p317 :rule symm :premises (@p316)) % 0.53/0.73 (step @p318 :rule cong :premises (@p317) :args (@t263)) % 0.53/0.73 (step @p319 :rule trans :premises (@p318 @p305)) % 0.53/0.73 (step @p320 :rule trans :premises (@p319 @p304)) % 0.53/0.73 (step @p321 :rule refl :args (@t97)) % 0.53/0.73 (step @p322 :rule nary_cong :premises (@p321 @p320) :args (@t264)) % 0.53/0.73 (step @p323 :rule trans :premises (@p322 @p254)) % 0.53/0.73 (step @p324 :rule quant-miniscope-or :args ((= (forall @t14 @t265) @t264))) % 0.53/0.73 (step @p325 :rule aci_norm :args ((= @t266 @t265))) % 0.53/0.73 (step @p326 :rule cong :premises (@p325) :args ((forall @t14 @t266))) % 0.53/0.73 (step @p327 :rule trans :premises (@p326 @p324)) % 0.53/0.73 (step @p328 :rule trans :premises (@p327 @p323)) % 0.53/0.73 (step @p329 :rule aci_norm :args ((= (or @t234 @t267) @t266))) % 0.53/0.73 (step @p330 :rule bool-impl-elim :args (@t13 @t267)) % 0.53/0.73 (step @p331 :rule trans :premises (@p330 @p329)) % 0.53/0.73 (step @p332 :rule cong :premises (@p331) :args ((forall @t14 (=> @t13 @t267)))) % 0.53/0.73 (step @p333 :rule trans :premises (@p332 @p328)) % 0.53/0.73 (step @p334 :rule aci_norm :args ((= @t269 @t259))) % 0.53/0.73 (step @p335 :rule cong :premises (@p334) :args (@t270)) % 0.53/0.73 (step @p336 :rule quant-merge-prenex :args ((= (forall @t33 @t272) @t270))) % 0.53/0.73 (step @p337 :rule alpha_equiv :args (@t273 (@list @t249) (@list @t27))) % 0.53/0.73 (step @p338 :rule refl :args (@t257)) % 0.53/0.73 (step @p339 :rule refl :args (@t258)) % 0.53/0.73 (step @p340 :rule nary_cong :premises (@p339 @p338 @p337) :args (@t274)) % 0.53/0.73 (step @p341 :rule quant-miniscope-or :args ((= @t272 @t274))) % 0.53/0.73 (step @p342 :rule trans :premises (@p341 @p340)) % 0.53/0.73 (step @p343 :rule symm :premises (@p342)) % 0.53/0.73 (step @p344 :rule cong :premises (@p343) :args ((forall @t33 @t279))) % 0.53/0.73 (step @p345 :rule trans :premises (@p344 @p336)) % 0.53/0.73 (step @p346 :rule trans :premises (@p345 @p335)) % 0.53/0.73 (step @p347 :rule aci_norm :args ((= (or @t258 @t280) @t279))) % 0.53/0.73 (step @p348 :rule bool-impl-elim :args (@t92 @t280)) % 0.53/0.73 (step @p349 :rule trans :premises (@p348 @p347)) % 0.53/0.73 (step @p350 :rule cong :premises (@p349) :args ((forall @t33 (=> @t92 @t280)))) % 0.53/0.73 (step @p351 :rule trans :premises (@p350 @p346)) % 0.53/0.73 (step @p352 :rule quant-miniscope-or :args ((= (forall @t31 @t281) @t280))) % 0.53/0.73 (step @p353 :rule aci_norm :args ((= @t282 @t281))) % 0.53/0.73 (step @p354 :rule cong :premises (@p353) :args ((forall @t31 @t282))) % 0.53/0.73 (step @p355 :rule trans :premises (@p354 @p352)) % 0.53/0.73 (step @p356 :rule aci_norm :args ((= (or @t276 @t283) @t282))) % 0.53/0.73 (step @p357 :rule bool-impl-elim :args (@t30 @t283)) % 0.53/0.73 (step @p358 :rule trans :premises (@p357 @p356)) % 0.53/0.73 (step @p359 :rule cong :premises (@p358) :args ((forall @t31 (=> @t30 @t283)))) % 0.53/0.73 (step @p360 :rule trans :premises (@p359 @p355)) % 0.53/0.73 (step @p361 :rule eq-symm :args (@t86 @t10)) % 0.53/0.73 (step @p362 :rule cong :premises (@p361) :args (@t87)) % 0.53/0.73 (step @p363 :rule eq-symm :args (@t85 @t12)) % 0.53/0.73 (step @p364 :rule cong :premises (@p363) :args (@t88)) % 0.53/0.73 (step @p365 :rule nary_cong :premises (@p364 @p362) :args (@t89)) % 0.53/0.73 (step @p366 :rule refl :args (@t30)) % 0.53/0.73 (step @p367 :rule cong :premises (@p366 @p365) :args (@t90)) % 0.53/0.73 (step @p368 :rule cong :premises (@p367) :args (@t91)) % 0.53/0.73 (step @p369 :rule trans :premises (@p368 @p360)) % 0.53/0.73 (step @p370 :rule refl :args (@t92)) % 0.53/0.73 (step @p371 :rule cong :premises (@p370 @p369) :args (@t93)) % 0.53/0.73 (step @p372 :rule cong :premises (@p371) :args (@t94)) % 0.53/0.73 (step @p373 :rule trans :premises (@p372 @p351)) % 0.53/0.73 (step @p374 :rule nary_cong :premises (@p240 @p373 @p239) :args (@t95)) % 0.53/0.73 (step @p375 :rule nary_cong :premises (@p374 @p297) :args (@t96)) % 0.53/0.73 (step @p376 :rule nary_cong :premises (@p300 @p321 @p375) :args (@t99)) % 0.53/0.73 (step @p377 :rule refl :args (@t13)) % 0.53/0.73 (step @p378 :rule cong :premises (@p377 @p376) :args (@t100)) % 0.53/0.73 (step @p379 :rule cong :premises (@p378) :args (@t101)) % 0.53/0.73 (step @p380 :rule trans :premises (@p379 @p333)) % 0.53/0.73 (step @p381 :rule refl :args (@t15)) % 0.53/0.73 (step @p382 :rule cong :premises (@p381 @p380) :args (@t102)) % 0.53/0.73 (step @p383 :rule cong :premises (@p382) :args (@t103)) % 0.53/0.73 (step @p384 :rule trans :premises (@p383 @p253)) % 0.53/0.73 (step @p385 :rule refl :args (@t21)) % 0.53/0.73 (step @p386 :rule cong :premises (@p385 @p384) :args (@t104)) % 0.53/0.73 (step @p387 :rule cong :premises (@p386) :args (@t105)) % 0.53/0.73 (step @p388 :rule trans :premises (@p387 @p189)) % 0.53/0.73 (step @p389 :rule refl :args (@t17)) % 0.53/0.73 (step @p390 :rule cong :premises (@p389 @p388) :args (@t106)) % 0.53/0.73 (step @p391 :rule cong :premises (@p390) :args (@t107)) % 0.53/0.73 (step @p392 :rule trans :premises (@p391 @p139)) % 0.53/0.73 (step @p393 :rule cong :premises (@p392) :args (@t108)) % 0.53/0.73 (step @p394 :rule eq_resolve :premises (@p96 @p393)) % 0.53/0.73 (step @p395 :rule skolemize :premises (@p394)) % 0.53/0.73 (step @p396 :rule cnf_or_neg :args (@t298 3)) % 0.53/0.73 (step @p397 :rule chain_m_resolution :premises (@p396 @p395) :args ((not @t295) @t299 @t300)) % 0.53/0.73 (step @p398 :rule aci_norm :args ((= @t306 @t304))) % 0.53/0.73 (step @p399 :rule cong :premises (@p398) :args (@t308)) % 0.53/0.73 (step @p400 :rule quant-merge-prenex :args ((= (forall @t9 @t310) @t308))) % 0.53/0.73 (step @p401 :rule alpha_equiv :args (@t311 (@list @t301) @t312)) % 0.53/0.73 (step @p402 :rule nary_cong :premises (@p127 @p401) :args (@t313)) % 0.53/0.73 (step @p403 :rule quant-miniscope-or :args ((= @t310 @t313))) % 0.53/0.73 (step @p404 :rule trans :premises (@p403 @p402)) % 0.53/0.73 (step @p405 :rule symm :premises (@p404)) % 0.53/0.73 (step @p406 :rule cong :premises (@p405) :args ((forall @t9 (or @t125 @t314)))) % 0.53/0.73 (step @p407 :rule trans :premises (@p406 @p400)) % 0.53/0.73 (step @p408 :rule trans :premises (@p407 @p399)) % 0.53/0.73 (step @p409 :rule bool-impl-elim :args (@t17 @t314)) % 0.53/0.73 (step @p410 :rule cong :premises (@p409) :args ((forall @t9 (=> @t17 @t314)))) % 0.53/0.73 (step @p411 :rule trans :premises (@p410 @p408)) % 0.53/0.73 (step @p412 :rule bool-impl-elim :args (@t21 @t5)) % 0.53/0.73 (step @p413 :rule cong :premises (@p412) :args (@t37)) % 0.53/0.73 (step @p414 :rule cong :premises (@p389 @p413) :args (@t38)) % 0.53/0.73 (step @p415 :rule cong :premises (@p414) :args (@t39)) % 0.53/0.73 (step @p416 :rule trans :premises (@p415 @p411)) % 0.53/0.73 (step @p417 :rule eq_resolve :premises (@p15 @p416)) % 0.53/0.73 (step @p418 :rule eq-symm :args (@t291 tptp.nil)) % 0.53/0.73 (step @p419 :rule cong :premises (@p418) :args (@t315)) % 0.53/0.73 (step @p420 :rule refl :args (@t294)) % 0.53/0.73 (step @p421 :rule cong :premises (@p420 @p419) :args (@t316)) % 0.53/0.73 (step @p422 :rule refl :args (@t317)) % 0.53/0.73 (step @p423 :rule refl :args (@t297)) % 0.53/0.73 (step @p424 :rule nary_cong :premises (@p423 @p422 @p421) :args (@t318)) % 0.53/0.73 (step @p425 :rule refl :args (@t319)) % 0.53/0.73 (step @p426 :rule cong :premises (@p425 @p424) :args ((=> @t319 @t318))) % 0.53/0.73 (assume-push @p557 @t319) % 0.53/0.73 (step @p428 :rule instantiate :premises (@p417) :args ((@list @t291 tptp.nil))) % 0.53/0.73 (step-pop @p558 :rule scope :premises (@p428)) % 0.53/0.73 (step @p429 :rule process_scope :premises (@p558) :args (@t318)) % 0.53/0.73 (step @p431 :rule eq_resolve :premises (@p429 @p426)) % 0.53/0.73 (step @p432 :rule implies_elim :premises (@p431)) % 0.53/0.73 (step @p433 :rule chain_m_resolution :premises (@p432 @p417) :args (@t323 (@list false) (@list @t319))) % 0.53/0.73 (step @p434 :rule bool-double-not-elim :args (@t296)) % 0.53/0.73 (step @p435 :rule refl :args (@t298)) % 0.53/0.73 (step @p436 :rule nary_cong :premises (@p435 @p434) :args ((or @t298 (not @t297)))) % 0.53/0.73 (step @p437 :rule cnf_or_neg :args (@t298 0)) % 0.53/0.73 (step @p438 :rule eq_resolve :premises (@p437 @p436)) % 0.53/0.73 (step @p439 :rule reordering :premises (@p438) :args ((or @t296 @t298))) % 0.53/0.73 (step @p440 :rule chain_m_resolution :premises (@p439 @p395) :args (@t296 @t299 @t300)) % 0.53/0.73 (step @p441 :rule cnf_or_pos :args (@t323)) % 0.53/0.73 (step @p442 :rule reordering :premises (@p441) :args ((or @t317 @t297 @t322 (not @t323)))) % 0.53/0.73 (step @p443 :rule chain_m_resolution :premises (@p442 @p17 @p440 @p433) :args (@t322 @t324 (@list @t41 @t296 @t323))) % 0.53/0.73 (step @p444 :rule aci_norm :args ((= @t329 (or @t125 @t327 @t326)))) % 0.53/0.73 (step @p445 :rule cong :premises (@p444) :args (@t330)) % 0.53/0.73 (step @p446 :rule quant-merge-prenex :args ((= (forall @t9 @t332) @t330))) % 0.53/0.73 (step @p447 :rule alpha_equiv :args (@t333 (@list @t325) @t312)) % 0.53/0.73 (step @p448 :rule nary_cong :premises (@p127 @p447) :args (@t334)) % 0.53/0.73 (step @p449 :rule quant-miniscope-or :args ((= @t332 @t334))) % 0.53/0.73 (step @p450 :rule trans :premises (@p449 @p448)) % 0.53/0.73 (step @p451 :rule symm :premises (@p450)) % 0.53/0.73 (step @p452 :rule cong :premises (@p451) :args ((forall @t9 (or @t125 @t336)))) % 0.53/0.73 (step @p453 :rule trans :premises (@p452 @p446)) % 0.53/0.73 (step @p454 :rule trans :premises (@p453 @p445)) % 0.53/0.73 (step @p455 :rule bool-impl-elim :args (@t17 @t336)) % 0.53/0.73 (step @p456 :rule cong :premises (@p455) :args ((forall @t9 (=> @t17 @t336)))) % 0.53/0.73 (step @p457 :rule trans :premises (@p456 @p454)) % 0.53/0.73 (step @p458 :rule bool-impl-elim :args (@t6 @t335)) % 0.53/0.73 (step @p459 :rule cong :premises (@p458) :args ((forall @t7 (=> @t6 @t335)))) % 0.53/0.73 (step @p460 :rule eq-symm :args (@t40 @t2)) % 0.53/0.73 (step @p461 :rule cong :premises (@p460) :args (@t42)) % 0.53/0.73 (step @p462 :rule refl :args (@t6)) % 0.53/0.73 (step @p463 :rule cong :premises (@p462 @p461) :args (@t43)) % 0.53/0.73 (step @p464 :rule cong :premises (@p463) :args (@t44)) % 0.53/0.73 (step @p465 :rule trans :premises (@p464 @p459)) % 0.53/0.73 (step @p466 :rule cong :premises (@p389 @p465) :args (@t45)) % 0.53/0.73 (step @p467 :rule cong :premises (@p466) :args (@t46)) % 0.53/0.73 (step @p468 :rule trans :premises (@p467 @p457)) % 0.53/0.73 (step @p469 :rule eq_resolve :premises (@p18 @p468)) % 0.53/0.73 (step @p470 :rule instantiate :premises (@p469) :args ((@list tptp.nil @t288))) % 0.53/0.73 (step @p471 :rule bool-double-not-elim :args (@t289)) % 0.53/0.73 (step @p472 :rule nary_cong :premises (@p435 @p471) :args ((or @t298 (not @t290)))) % 0.53/0.73 (step @p473 :rule cnf_or_neg :args (@t298 4)) % 0.53/0.73 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 0.53/0.73 (step @p475 :rule reordering :premises (@p474) :args ((or @t289 @t298))) % 0.53/0.73 (step @p476 :rule chain_m_resolution :premises (@p475 @p395) :args (@t289 @t299 @t300)) % 0.53/0.73 (step @p477 :rule cnf_or_pos :args (@t337)) % 0.53/0.73 (step @p478 :rule reordering :premises (@p477) :args ((or @t317 @t290 @t321 (not @t337)))) % 0.53/0.73 (step @p479 :rule chain_m_resolution :premises (@p478 @p17 @p476 @p470) :args (@t321 @t324 (@list @t41 @t289 @t337))) % 0.53/0.73 (step @p480 :rule bool-double-not-elim :args (@t320)) % 0.53/0.73 (step @p481 :rule refl :args (@t338)) % 0.53/0.73 (step @p482 :rule nary_cong :premises (@p481 @p420 @p480) :args ((or @t338 @t294 (not @t321)))) % 0.53/0.73 (step @p483 :rule cnf_equiv_pos2 :args (@t322)) % 0.53/0.73 (step @p484 :rule eq_resolve :premises (@p483 @p482)) % 0.53/0.73 (step @p485 :rule reordering :premises (@p484) :args ((or @t294 @t320 @t338))) % 0.53/0.73 (step @p486 :rule chain_m_resolution :premises (@p485 @p479 @p443) :args (@t294 (@list true false) (@list @t320 @t322))) % 0.53/0.73 (step @p487 :rule aci_norm :args ((= @t346 (or @t125 @t344 @t343 @t342 @t341)))) % 0.53/0.73 (step @p488 :rule cong :premises (@p487) :args (@t347)) % 0.53/0.73 (step @p489 :rule quant-merge-prenex :args ((= (forall @t9 @t349) @t347))) % 0.53/0.73 (step @p490 :rule alpha_equiv :args (@t350 (@list @t339 @t340) (@list @t1 @t351))) % 0.53/0.73 (step @p491 :rule nary_cong :premises (@p127 @p490) :args (@t352)) % 0.53/0.73 (step @p492 :rule quant-miniscope-or :args ((= @t349 @t352))) % 0.53/0.73 (step @p493 :rule trans :premises (@p492 @p491)) % 0.53/0.73 (step @p494 :rule symm :premises (@p493)) % 0.53/0.73 (step @p495 :rule cong :premises (@p494) :args ((forall @t9 (or @t125 @t358)))) % 0.53/0.73 (step @p496 :rule trans :premises (@p495 @p489)) % 0.53/0.73 (step @p497 :rule trans :premises (@p496 @p488)) % 0.53/0.73 (step @p498 :rule bool-impl-elim :args (@t17 @t358)) % 0.53/0.73 (step @p499 :rule cong :premises (@p498) :args ((forall @t9 (=> @t17 @t358)))) % 0.53/0.73 (step @p500 :rule trans :premises (@p499 @p497)) % 0.53/0.73 (step @p501 :rule aci_norm :args ((= @t360 @t356))) % 0.53/0.73 (step @p502 :rule cong :premises (@p501) :args (@t361)) % 0.53/0.73 (step @p503 :rule quant-merge-prenex :args ((= (forall @t7 @t363) @t361))) % 0.53/0.73 (step @p504 :rule alpha_equiv :args (@t364 (@list @t351) (@list @t12))) % 0.53/0.73 (step @p505 :rule refl :args (@t355)) % 0.53/0.73 (step @p506 :rule nary_cong :premises (@p170 @p505 @p504) :args (@t365)) % 0.53/0.73 (step @p507 :rule quant-miniscope-or :args ((= @t363 @t365))) % 0.53/0.73 (step @p508 :rule trans :premises (@p507 @p506)) % 0.53/0.73 (step @p509 :rule symm :premises (@p508)) % 0.53/0.73 (step @p510 :rule cong :premises (@p509) :args ((forall @t7 @t368))) % 0.53/0.73 (step @p511 :rule trans :premises (@p510 @p503)) % 0.53/0.73 (step @p512 :rule trans :premises (@p511 @p502)) % 0.53/0.73 (step @p513 :rule aci_norm :args ((= (or @t155 @t369) @t368))) % 0.53/0.73 (step @p514 :rule bool-impl-elim :args (@t21 @t369)) % 0.53/0.73 (step @p515 :rule trans :premises (@p514 @p513)) % 0.53/0.73 (step @p516 :rule cong :premises (@p515) :args ((forall @t7 (=> @t21 @t369)))) % 0.53/0.73 (step @p517 :rule trans :premises (@p516 @p512)) % 0.53/0.73 (step @p518 :rule quant-miniscope-or :args ((= (forall @t16 @t370) @t369))) % 0.53/0.73 (step @p519 :rule aci_norm :args ((= @t371 @t370))) % 0.53/0.73 (step @p520 :rule cong :premises (@p519) :args ((forall @t16 @t371))) % 0.53/0.73 (step @p521 :rule trans :premises (@p520 @p518)) % 0.53/0.73 (step @p522 :rule aci_norm :args ((= (or @t190 (or @t355 @t67)) @t371))) % 0.53/0.73 (step @p523 :rule bool-impl-elim :args (@t23 @t67)) % 0.53/0.73 (step @p524 :rule nary_cong :premises (@p213 @p523) :args ((or @t190 @t68))) % 0.53/0.73 (step @p525 :rule trans :premises (@p524 @p522)) % 0.53/0.73 (step @p526 :rule bool-impl-elim :args (@t15 @t68)) % 0.53/0.73 (step @p527 :rule trans :premises (@p526 @p525)) % 0.53/0.73 (step @p528 :rule cong :premises (@p527) :args (@t69)) % 0.53/0.73 (step @p529 :rule trans :premises (@p528 @p521)) % 0.53/0.73 (step @p530 :rule cong :premises (@p385 @p529) :args (@t70)) % 0.53/0.73 (step @p531 :rule cong :premises (@p530) :args (@t71)) % 0.53/0.73 (step @p532 :rule trans :premises (@p531 @p517)) % 0.53/0.73 (step @p533 :rule cong :premises (@p389 @p532) :args (@t72)) % 0.53/0.73 (step @p534 :rule cong :premises (@p533) :args (@t73)) % 0.53/0.73 (step @p535 :rule trans :premises (@p534 @p500)) % 0.53/0.73 (step @p536 :rule eq_resolve :premises (@p50 @p535)) % 0.53/0.73 (step @p537 :rule instantiate :premises (@p536) :args ((@list @t291 @t291 @t285))) % 0.53/0.73 (step @p538 :rule bool-impl-elim :args (@t17 @t64)) % 0.53/0.73 (step @p539 :rule cong :premises (@p538) :args (@t65)) % 0.53/0.73 (step @p540 :rule eq_resolve :premises (@p49 @p539)) % 0.53/0.73 (step @p541 :rule instantiate :premises (@p540) :args ((@list @t291))) % 0.53/0.73 (step @p542 :rule cnf_or_pos :args (@t373)) % 0.53/0.73 (step @p543 :rule reordering :premises (@p542) :args ((or @t297 @t372 (not @t373)))) % 0.53/0.73 (step @p544 :rule chain_m_resolution :premises (@p543 @p440 @p541) :args (@t372 (@list false false) (@list @t296 @t373))) % 0.53/0.73 (step @p545 :rule bool-double-not-elim :args (@t286)) % 0.53/0.73 (step @p546 :rule nary_cong :premises (@p435 @p545) :args ((or @t298 (not @t287)))) % 0.53/0.73 (step @p547 :rule cnf_or_neg :args (@t298 5)) % 0.53/0.73 (step @p548 :rule eq_resolve :premises (@p547 @p546)) % 0.53/0.73 (step @p549 :rule reordering :premises (@p548) :args ((or @t286 @t298))) % 0.53/0.73 (step @p550 :rule chain_m_resolution :premises (@p549 @p395) :args (@t286 @t299 @t300)) % 0.53/0.73 (step @p551 :rule cnf_or_pos :args (@t375)) % 0.53/0.73 (step @p552 :rule factoring :premises (@p551)) % 0.53/0.73 (step @p553 :rule reordering :premises (@p552) :args ((or @t297 @t293 @t287 @t374 (not @t375)))) % 0.53/0.73 (step @p554 :rule chain_m_resolution :premises (@p553 @p440 @p550 @p544 @p537) :args (@t293 (@list false false false false) (@list @t296 @t286 @t372 @t375))) % 0.53/0.73 (step @p555 :rule cnf_and_neg :args (@t295)) % 0.53/0.73 (step @p556 false :rule chain_m_resolution :premises (@p555 @p554 @p486 @p397) :args (false (@list false false true) (@list @t293 @t294 @t295))) % 0.53/0.73 ) % 0.53/0.73 % SZS output end Proof % 0.53/0.73 % cvc5 exiting %------------------------------------------------------------------------------