%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC153+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 : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:15 AM UTC 2026 % Result : Theorem 15.64s 16.00s % Output : Proof 15.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC153+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:17:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 15.64/16.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.64/16.00 --- Run --no-e-matching --full-saturate-quant at 6... % 15.64/16.00 % SZS status Theorem % 15.64/16.00 % SZS output start Proof % 15.64/16.00 ( % 15.64/16.00 (declare-sort $$unsorted 0) % 15.64/16.00 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 15.64/16.00 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 15.64/16.00 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 15.64/16.00 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 15.64/16.00 (declare-const tptp.nil $$unsorted) % 15.64/16.00 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.ssList (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 15.64/16.00 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.64/16.00 (define @t1 () (@var "V" $$unsorted)) % 15.64/16.00 (define @t2 () (@var "U" $$unsorted)) % 15.64/16.00 (define @t3 () (= @t2 @t1)) % 15.64/16.00 (define @t4 () (not @t3)) % 15.64/16.00 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 15.64/16.00 (define @t6 () (tptp.ssItem @t1)) % 15.64/16.00 (define @t7 () (@list @t1)) % 15.64/16.00 (define @t8 () (tptp.ssItem @t2)) % 15.64/16.00 (define @t9 () (@list @t2)) % 15.64/16.00 (define @t10 () (@var "X" $$unsorted)) % 15.64/16.00 (define @t11 () (tptp.cons @t1 @t10)) % 15.64/16.00 (define @t12 () (@var "W" $$unsorted)) % 15.64/16.00 (define @t13 () (tptp.ssList @t10)) % 15.64/16.00 (define @t14 () (@list @t10)) % 15.64/16.00 (define @t15 () (tptp.ssList @t12)) % 15.64/16.00 (define @t16 () (@list @t12)) % 15.64/16.00 (define @t17 () (tptp.ssList @t2)) % 15.64/16.00 (define @t18 () (tptp.cons @t1 tptp.nil)) % 15.64/16.00 (define @t19 () (tptp.app @t1 @t12)) % 15.64/16.00 (define @t20 () (tptp.frontsegP @t2 @t1)) % 15.64/16.00 (define @t21 () (tptp.ssList @t1)) % 15.64/16.00 (define @t22 () (tptp.app @t12 @t1)) % 15.64/16.00 (define @t23 () (tptp.rearsegP @t2 @t1)) % 15.64/16.00 (define @t24 () (tptp.segmentP @t2 @t1)) % 15.64/16.00 (define @t25 () (tptp.leq @t12 @t1)) % 15.64/16.00 (define @t26 () (tptp.leq @t1 @t12)) % 15.64/16.00 (define @t27 () (@var "Z" $$unsorted)) % 15.64/16.00 (define @t28 () (@var "Y" $$unsorted)) % 15.64/16.00 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 15.64/16.00 (define @t30 () (tptp.ssList @t27)) % 15.64/16.00 (define @t31 () (@list @t27)) % 15.64/16.00 (define @t32 () (tptp.ssList @t28)) % 15.64/16.00 (define @t33 () (@list @t28)) % 15.64/16.00 (define @t34 () (tptp.ssItem @t12)) % 15.64/16.00 (define @t35 () (tptp.lt @t1 @t12)) % 15.64/16.00 (define @t36 () (= @t1 @t12)) % 15.64/16.00 (define @t37 () (tptp.cons @t1 @t2)) % 15.64/16.00 (define @t38 () (= @t1 @t2)) % 15.64/16.00 (define @t39 () (tptp.cons @t12 @t1)) % 15.64/16.00 (define @t40 () (= tptp.nil @t2)) % 15.64/16.00 (define @t41 () (tptp.hd @t2)) % 15.64/16.00 (define @t42 () (not @t40)) % 15.64/16.00 (define @t43 () (tptp.tl @t2)) % 15.64/16.00 (define @t44 () (tptp.app @t2 @t1)) % 15.64/16.00 (define @t45 () (tptp.app @t1 @t2)) % 15.64/16.00 (define @t46 () (tptp.leq @t1 @t2)) % 15.64/16.00 (define @t47 () (tptp.leq @t2 @t1)) % 15.64/16.00 (define @t48 () (tptp.geq @t2 @t1)) % 15.64/16.00 (define @t49 () (tptp.lt @t1 @t2)) % 15.64/16.00 (define @t50 () (tptp.lt @t2 @t1)) % 15.64/16.00 (define @t51 () (tptp.lt @t2 @t12)) % 15.64/16.00 (define @t52 () (tptp.gt @t2 @t1)) % 15.64/16.00 (define @t53 () (tptp.memberP @t12 @t2)) % 15.64/16.00 (define @t54 () (tptp.app @t12 @t2)) % 15.64/16.00 (define @t55 () (tptp.cons @t2 tptp.nil)) % 15.64/16.00 (define @t56 () (tptp.hd @t1)) % 15.64/16.00 (define @t57 () (= tptp.nil @t1)) % 15.64/16.00 (define @t58 () (not @t57)) % 15.64/16.00 (define @t59 () (tptp.cons @t2 @t1)) % 15.64/16.00 (define @t60 () (= @t12 @t2)) % 15.64/16.00 (define @t61 () (@var "X6" $$unsorted)) % 15.64/16.00 (define @t62 () (@var "X5" $$unsorted)) % 15.64/16.00 (define @t63 () (tptp.leq @t62 @t61)) % 15.64/16.00 (define @t64 () (@var "X10" $$unsorted)) % 15.64/16.00 (define @t65 () (and (tptp.leq @t64 @t61) (tptp.leq @t62 @t64))) % 15.64/16.00 (define @t66 () (@var "X8" $$unsorted)) % 15.64/16.00 (define @t67 () (not (tptp.memberP @t66 @t64))) % 15.64/16.00 (define @t68 () (or @t67 @t65)) % 15.64/16.00 (define @t69 () (tptp.ssItem @t64)) % 15.64/16.00 (define @t70 () (@list @t64)) % 15.64/16.00 (define @t71 () (forall @t70 (=> @t69 @t68))) % 15.64/16.00 (define @t72 () (and @t71 @t63)) % 15.64/16.00 (define @t73 () (not (tptp.leq @t61 @t62))) % 15.64/16.00 (define @t74 () (@var "X9" $$unsorted)) % 15.64/16.00 (define @t75 () (tptp.cons @t61 tptp.nil)) % 15.64/16.00 (define @t76 () (tptp.cons @t62 tptp.nil)) % 15.64/16.00 (define @t77 () (@var "X7" $$unsorted)) % 15.64/16.00 (define @t78 () (tptp.app @t77 @t76)) % 15.64/16.00 (define @t79 () (tptp.app (tptp.app @t78 @t66) @t75)) % 15.64/16.00 (define @t80 () (tptp.app @t79 @t74)) % 15.64/16.00 (define @t81 () (not (= @t80 @t2))) % 15.64/16.00 (define @t82 () (or @t81 @t73 @t72)) % 15.64/16.00 (define @t83 () (tptp.ssList @t74)) % 15.64/16.00 (define @t84 () (=> @t83 @t82)) % 15.64/16.00 (define @t85 () (@list @t74)) % 15.64/16.00 (define @t86 () (forall @t85 @t84)) % 15.64/16.00 (define @t87 () (tptp.ssList @t66)) % 15.64/16.00 (define @t88 () (=> @t87 @t86)) % 15.64/16.00 (define @t89 () (@list @t66)) % 15.64/16.00 (define @t90 () (forall @t89 @t88)) % 15.64/16.00 (define @t91 () (tptp.ssList @t77)) % 15.64/16.00 (define @t92 () (=> @t91 @t90)) % 15.64/16.00 (define @t93 () (@list @t77)) % 15.64/16.00 (define @t94 () (forall @t93 @t92)) % 15.64/16.00 (define @t95 () (tptp.ssItem @t61)) % 15.64/16.00 (define @t96 () (=> @t95 @t94)) % 15.64/16.00 (define @t97 () (@list @t61)) % 15.64/16.00 (define @t98 () (forall @t97 @t96)) % 15.64/16.00 (define @t99 () (tptp.ssItem @t62)) % 15.64/16.00 (define @t100 () (=> @t99 @t98)) % 15.64/16.00 (define @t101 () (@list @t62)) % 15.64/16.00 (define @t102 () (forall @t101 @t100)) % 15.64/16.00 (define @t103 () (@var "X4" $$unsorted)) % 15.64/16.00 (define @t104 () (tptp.leq @t103 @t27)) % 15.64/16.00 (define @t105 () (not @t104)) % 15.64/16.00 (define @t106 () (tptp.leq @t28 @t103)) % 15.64/16.00 (define @t107 () (not @t106)) % 15.64/16.00 (define @t108 () (or @t107 @t105)) % 15.64/16.00 (define @t109 () (@var "X2" $$unsorted)) % 15.64/16.00 (define @t110 () (tptp.memberP @t109 @t103)) % 15.64/16.00 (define @t111 () (tptp.ssItem @t103)) % 15.64/16.00 (define @t112 () (and @t111 @t110 @t108)) % 15.64/16.00 (define @t113 () (@list @t103)) % 15.64/16.00 (define @t114 () (exists @t113 @t112)) % 15.64/16.00 (define @t115 () (tptp.leq @t28 @t27)) % 15.64/16.00 (define @t116 () (not @t115)) % 15.64/16.00 (define @t117 () (or @t116 @t114)) % 15.64/16.00 (define @t118 () (tptp.leq @t27 @t28)) % 15.64/16.00 (define @t119 () (@var "X3" $$unsorted)) % 15.64/16.00 (define @t120 () (tptp.cons @t27 tptp.nil)) % 15.64/16.00 (define @t121 () (tptp.cons @t28 tptp.nil)) % 15.64/16.00 (define @t122 () (@var "X1" $$unsorted)) % 15.64/16.00 (define @t123 () (tptp.app @t122 @t121)) % 15.64/16.00 (define @t124 () (tptp.app (tptp.app @t123 @t109) @t120)) % 15.64/16.00 (define @t125 () (tptp.app @t124 @t119)) % 15.64/16.00 (define @t126 () (tptp.ssList @t119)) % 15.64/16.00 (define @t127 () (and @t126 (= @t125 @t12) @t118 @t117)) % 15.64/16.00 (define @t128 () (@list @t119)) % 15.64/16.00 (define @t129 () (exists @t128 @t127)) % 15.64/16.00 (define @t130 () (tptp.ssList @t109)) % 15.64/16.00 (define @t131 () (and @t130 @t129)) % 15.64/16.00 (define @t132 () (@list @t109)) % 15.64/16.00 (define @t133 () (exists @t132 @t131)) % 15.64/16.00 (define @t134 () (tptp.ssList @t122)) % 15.64/16.00 (define @t135 () (and @t134 @t133)) % 15.64/16.00 (define @t136 () (@list @t122)) % 15.64/16.00 (define @t137 () (exists @t136 @t135)) % 15.64/16.00 (define @t138 () (tptp.ssItem @t27)) % 15.64/16.00 (define @t139 () (and @t138 @t137)) % 15.64/16.00 (define @t140 () (exists @t31 @t139)) % 15.64/16.00 (define @t141 () (tptp.ssItem @t28)) % 15.64/16.00 (define @t142 () (and @t141 @t140)) % 15.64/16.00 (define @t143 () (exists @t33 @t142)) % 15.64/16.00 (define @t144 () (not @t60)) % 15.64/16.00 (define @t145 () (not (= @t10 @t1))) % 15.64/16.00 (define @t146 () (or @t145 @t144 @t143 @t102)) % 15.64/16.00 (define @t147 () (=> @t13 @t146)) % 15.64/16.00 (define @t148 () (forall @t14 @t147)) % 15.64/16.00 (define @t149 () (=> @t15 @t148)) % 15.64/16.00 (define @t150 () (forall @t16 @t149)) % 15.64/16.00 (define @t151 () (=> @t21 @t150)) % 15.64/16.00 (define @t152 () (forall @t7 @t151)) % 15.64/16.00 (define @t153 () (=> @t17 @t152)) % 15.64/16.00 (define @t154 () (forall @t9 @t153)) % 15.64/16.00 (define @t155 () (not @t154)) % 15.64/16.00 (define @t156 () (@var "BOUND_VARIABLE_11437" $$unsorted)) % 15.64/16.00 (define @t157 () (not (tptp.ssList @t156))) % 15.64/16.00 (define @t158 () (@var "BOUND_VARIABLE_11429" $$unsorted)) % 15.64/16.00 (define @t159 () (@var "BOUND_VARIABLE_11427" $$unsorted)) % 15.64/16.00 (define @t160 () (@var "BOUND_VARIABLE_11435" $$unsorted)) % 15.64/16.00 (define @t161 () (@var "BOUND_VARIABLE_11433" $$unsorted)) % 15.64/16.00 (define @t162 () (and (or (not (tptp.ssItem @t160)) (not (tptp.memberP @t161 @t160)) (and (tptp.leq @t160 @t158) (tptp.leq @t159 @t160))) (tptp.leq @t159 @t158))) % 15.64/16.00 (define @t163 () (not (tptp.ssList @t161))) % 15.64/16.00 (define @t164 () (@var "BOUND_VARIABLE_11431" $$unsorted)) % 15.64/16.00 (define @t165 () (not (tptp.ssList @t164))) % 15.64/16.00 (define @t166 () (not (tptp.leq @t158 @t159))) % 15.64/16.00 (define @t167 () (not (tptp.ssItem @t158))) % 15.64/16.00 (define @t168 () (not (tptp.ssItem @t159))) % 15.64/16.00 (define @t169 () (tptp.app (tptp.app (tptp.app (tptp.app @t164 (tptp.cons @t159 tptp.nil)) @t161) (tptp.cons @t158 tptp.nil)) @t156)) % 15.64/16.00 (define @t170 () (@var "BOUND_VARIABLE_11173" $$unsorted)) % 15.64/16.00 (define @t171 () (@var "BOUND_VARIABLE_11165" $$unsorted)) % 15.64/16.00 (define @t172 () (@var "BOUND_VARIABLE_11169" $$unsorted)) % 15.64/16.00 (define @t173 () (@var "BOUND_VARIABLE_11167" $$unsorted)) % 15.64/16.00 (define @t174 () (tptp.app (tptp.app (tptp.app (tptp.app @t173 @t121) @t172) (tptp.cons @t171 tptp.nil)) @t170)) % 15.64/16.00 (define @t175 () (not (tptp.ssList @t170))) % 15.64/16.00 (define @t176 () (@var "BOUND_VARIABLE_11171" $$unsorted)) % 15.64/16.00 (define @t177 () (and (tptp.leq @t28 @t171) (or (not (tptp.ssItem @t176)) (not (tptp.memberP @t172 @t176)) (and (tptp.leq @t28 @t176) (tptp.leq @t176 @t171))))) % 15.64/16.00 (define @t178 () (not (tptp.ssList @t172))) % 15.64/16.00 (define @t179 () (not (tptp.ssList @t173))) % 15.64/16.00 (define @t180 () (not (tptp.leq @t171 @t28))) % 15.64/16.00 (define @t181 () (not (tptp.ssItem @t171))) % 15.64/16.00 (define @t182 () (not @t141)) % 15.64/16.00 (define @t183 () (@list @t28 @t171 @t173 @t172 @t176 @t170)) % 15.64/16.00 (define @t184 () (not (forall @t183 (or @t182 @t181 @t180 @t179 @t178 @t177 @t175 (not (= @t174 @t169)))))) % 15.64/16.00 (define @t185 () (not (tptp.ssList @t169))) % 15.64/16.00 (define @t186 () (or @t185 @t184 @t168 @t167 @t166 @t165 @t163 @t162 @t157)) % 15.64/16.00 (define @t187 () (not (= @t169 @t169))) % 15.64/16.00 (define @t188 () (not (= @t169 @t174))) % 15.64/16.00 (define @t189 () (or @t182 @t181 @t180 @t179 @t178 @t177 @t175 @t188)) % 15.64/16.00 (define @t190 () (forall @t183 @t189)) % 15.64/16.00 (define @t191 () (not @t190)) % 15.64/16.00 (define @t192 () (or @t185 @t191 @t168 @t167 @t166 @t165 @t163 @t162 @t157 @t187)) % 15.64/16.00 (define @t193 () (@list @t159 @t158 @t164 @t161 @t160 @t156)) % 15.64/16.00 (define @t194 () (not (= @t2 @t169))) % 15.64/16.00 (define @t195 () (not (forall @t183 (or @t182 @t181 @t180 @t179 @t178 @t177 @t175 (not (= @t2 @t174)))))) % 15.64/16.00 (define @t196 () (not @t17)) % 15.64/16.00 (define @t197 () (or @t194 @t196 @t195 @t168 @t167 @t166 @t165 @t163 @t162 @t157 @t194)) % 15.64/16.00 (define @t198 () (or @t196 @t195 @t168 @t167 @t166 @t165 @t163 @t162 @t157 @t194)) % 15.64/16.00 (define @t199 () (forall @t9 @t198)) % 15.64/16.00 (define @t200 () (forall @t193 @t199)) % 15.64/16.00 (define @t201 () (forall (@list @t159 @t158 @t164 @t161 @t160 @t156 @t2) @t198)) % 15.64/16.00 (define @t202 () (@list @t2 @t159 @t158 @t164 @t161 @t160 @t156)) % 15.64/16.00 (define @t203 () (or @t168 @t167 @t166 @t165 @t163 @t162 @t157 @t194)) % 15.64/16.00 (define @t204 () (or @t196 @t203 @t195)) % 15.64/16.00 (define @t205 () (forall @t202 @t204)) % 15.64/16.00 (define @t206 () (forall @t193 @t204)) % 15.64/16.00 (define @t207 () (forall @t193 @t203)) % 15.64/16.00 (define @t208 () (@var "BOUND_VARIABLE_11349" $$unsorted)) % 15.64/16.00 (define @t209 () (@var "BOUND_VARIABLE_11347" $$unsorted)) % 15.64/16.00 (define @t210 () (@var "BOUND_VARIABLE_11345" $$unsorted)) % 15.64/16.00 (define @t211 () (@var "BOUND_VARIABLE_11343" $$unsorted)) % 15.64/16.00 (define @t212 () (@var "BOUND_VARIABLE_11341" $$unsorted)) % 15.64/16.00 (define @t213 () (or @t196 @t207 @t195)) % 15.64/16.00 (define @t214 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t211 @t76) @t210) (tptp.cons @t212 tptp.nil)) @t208)))) % 15.64/16.00 (define @t215 () (not (tptp.ssList @t208))) % 15.64/16.00 (define @t216 () (and (or (not (tptp.ssItem @t209)) (not (tptp.memberP @t210 @t209)) (and (tptp.leq @t209 @t212) (tptp.leq @t62 @t209))) (tptp.leq @t62 @t212))) % 15.64/16.00 (define @t217 () (not (tptp.ssList @t210))) % 15.64/16.00 (define @t218 () (not (tptp.ssList @t211))) % 15.64/16.00 (define @t219 () (not (tptp.leq @t212 @t62))) % 15.64/16.00 (define @t220 () (not (tptp.ssItem @t212))) % 15.64/16.00 (define @t221 () (not @t99)) % 15.64/16.00 (define @t222 () (or @t221 @t220 @t219 @t218 @t217 @t216 @t215 @t214)) % 15.64/16.00 (define @t223 () (@list @t62 @t212 @t211 @t210 @t209 @t208)) % 15.64/16.00 (define @t224 () (forall @t223 @t222)) % 15.64/16.00 (define @t225 () (or @t196 @t224 @t195)) % 15.64/16.00 (define @t226 () (forall @t9 @t225)) % 15.64/16.00 (define @t227 () (not @t21)) % 15.64/16.00 (define @t228 () (forall @t7 @t227)) % 15.64/16.00 (define @t229 () (or @t228 @t226)) % 15.64/16.00 (define @t230 () (or @t228 @t225)) % 15.64/16.00 (define @t231 () (or @t196 @t224 @t195 @t228)) % 15.64/16.00 (define @t232 () (or @t224 @t196 @t195 @t228)) % 15.64/16.00 (define @t233 () (or @t224 @t196 @t195 @t227)) % 15.64/16.00 (define @t234 () (or @t227 @t224 @t196 @t195)) % 15.64/16.00 (define @t235 () (or @t224 @t227 @t196 @t195)) % 15.64/16.00 (define @t236 () (or @t196 @t195)) % 15.64/16.00 (define @t237 () (not (= @t2 @t2))) % 15.64/16.00 (define @t238 () (or @t196 @t237 @t195)) % 15.64/16.00 (define @t239 () (not (= @t12 @t174))) % 15.64/16.00 (define @t240 () (or @t182 @t181 @t180 @t179 @t178 @t177 @t175 @t239)) % 15.64/16.00 (define @t241 () (not (forall @t183 @t240))) % 15.64/16.00 (define @t242 () (not (= @t2 @t12))) % 15.64/16.00 (define @t243 () (not @t15)) % 15.64/16.00 (define @t244 () (or @t242 @t243 @t242 @t241)) % 15.64/16.00 (define @t245 () (or @t243 @t242 @t241)) % 15.64/16.00 (define @t246 () (forall @t16 @t245)) % 15.64/16.00 (define @t247 () (or @t224 @t227 @t246)) % 15.64/16.00 (define @t248 () (or @t224 @t227 @t245)) % 15.64/16.00 (define @t249 () (or @t243 @t242 @t241 @t224 @t227)) % 15.64/16.00 (define @t250 () (or @t242 @t241 @t224 @t227)) % 15.64/16.00 (define @t251 () (not (= @t1 @t1))) % 15.64/16.00 (define @t252 () (or @t227 @t251)) % 15.64/16.00 (define @t253 () (not (= @t1 @t10))) % 15.64/16.00 (define @t254 () (not @t13)) % 15.64/16.00 (define @t255 () (or @t253 @t254 @t253)) % 15.64/16.00 (define @t256 () (or @t254 @t253)) % 15.64/16.00 (define @t257 () (forall @t14 @t256)) % 15.64/16.00 (define @t258 () (or @t242 @t241 @t224 @t257)) % 15.64/16.00 (define @t259 () (or @t242 @t241 @t224 @t256)) % 15.64/16.00 (define @t260 () (or @t254 @t253 @t242 @t241 @t224)) % 15.64/16.00 (define @t261 () (or @t253 @t242 @t241 @t224)) % 15.64/16.00 (define @t262 () (or @t220 @t219 @t218 @t217 @t216 @t215 @t214)) % 15.64/16.00 (define @t263 () (or @t221 @t262)) % 15.64/16.00 (define @t264 () (forall @t223 @t263)) % 15.64/16.00 (define @t265 () (@list @t212 @t211 @t210 @t209 @t208)) % 15.64/16.00 (define @t266 () (forall @t265 @t263)) % 15.64/16.00 (define @t267 () (forall @t265 @t262)) % 15.64/16.00 (define @t268 () (@var "BOUND_VARIABLE_11307" $$unsorted)) % 15.64/16.00 (define @t269 () (@var "BOUND_VARIABLE_11305" $$unsorted)) % 15.64/16.00 (define @t270 () (@var "BOUND_VARIABLE_11303" $$unsorted)) % 15.64/16.00 (define @t271 () (@var "BOUND_VARIABLE_11301" $$unsorted)) % 15.64/16.00 (define @t272 () (or @t221 @t267)) % 15.64/16.00 (define @t273 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t271 @t76) @t270) @t75) @t268)))) % 15.64/16.00 (define @t274 () (not (tptp.ssList @t268))) % 15.64/16.00 (define @t275 () (and (or (not (tptp.ssItem @t269)) (not (tptp.memberP @t270 @t269)) (and (tptp.leq @t269 @t61) (tptp.leq @t62 @t269))) @t63)) % 15.64/16.00 (define @t276 () (not (tptp.ssList @t270))) % 15.64/16.00 (define @t277 () (not (tptp.ssList @t271))) % 15.64/16.00 (define @t278 () (not @t95)) % 15.64/16.00 (define @t279 () (or @t278 @t73 @t277 @t276 @t275 @t274 @t273)) % 15.64/16.00 (define @t280 () (@list @t61 @t271 @t270 @t269 @t268)) % 15.64/16.00 (define @t281 () (forall @t280 @t279)) % 15.64/16.00 (define @t282 () (or @t277 @t276 @t275 @t274 @t273)) % 15.64/16.00 (define @t283 () (or @t278 @t73 @t282)) % 15.64/16.00 (define @t284 () (forall @t280 @t283)) % 15.64/16.00 (define @t285 () (@list @t271 @t270 @t269 @t268)) % 15.64/16.00 (define @t286 () (forall @t285 @t283)) % 15.64/16.00 (define @t287 () (forall @t285 @t282)) % 15.64/16.00 (define @t288 () (@var "BOUND_VARIABLE_11269" $$unsorted)) % 15.64/16.00 (define @t289 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 15.64/16.00 (define @t290 () (@var "BOUND_VARIABLE_11265" $$unsorted)) % 15.64/16.00 (define @t291 () (or @t278 @t73 @t287)) % 15.64/16.00 (define @t292 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t78 @t290) @t75) @t288)))) % 15.64/16.00 (define @t293 () (not (tptp.ssList @t288))) % 15.64/16.00 (define @t294 () (and (or (not (tptp.ssItem @t289)) (not (tptp.memberP @t290 @t289)) (and (tptp.leq @t289 @t61) (tptp.leq @t62 @t289))) @t63)) % 15.64/16.00 (define @t295 () (not (tptp.ssList @t290))) % 15.64/16.00 (define @t296 () (not @t91)) % 15.64/16.00 (define @t297 () (or @t296 @t295 @t294 @t293 @t292)) % 15.64/16.00 (define @t298 () (@list @t77 @t290 @t289 @t288)) % 15.64/16.00 (define @t299 () (forall @t298 @t297)) % 15.64/16.00 (define @t300 () (or @t278 @t73 @t299)) % 15.64/16.00 (define @t301 () (or @t73 @t299)) % 15.64/16.00 (define @t302 () (or @t295 @t294 @t293 @t292)) % 15.64/16.00 (define @t303 () (or @t296 @t302)) % 15.64/16.00 (define @t304 () (forall @t298 @t303)) % 15.64/16.00 (define @t305 () (@list @t290 @t289 @t288)) % 15.64/16.00 (define @t306 () (forall @t305 @t303)) % 15.64/16.00 (define @t307 () (forall @t305 @t302)) % 15.64/16.00 (define @t308 () (@var "BOUND_VARIABLE_11243" $$unsorted)) % 15.64/16.00 (define @t309 () (@var "BOUND_VARIABLE_11232" $$unsorted)) % 15.64/16.00 (define @t310 () (or @t296 @t307)) % 15.64/16.00 (define @t311 () (not (= @t2 (tptp.app @t79 @t308)))) % 15.64/16.00 (define @t312 () (not (tptp.ssList @t308))) % 15.64/16.00 (define @t313 () (or (not (tptp.ssItem @t309)) (not (tptp.memberP @t66 @t309)) (and (tptp.leq @t309 @t61) (tptp.leq @t62 @t309)))) % 15.64/16.00 (define @t314 () (and @t313 @t63)) % 15.64/16.00 (define @t315 () (not @t87)) % 15.64/16.00 (define @t316 () (or @t315 @t314 @t312 @t311)) % 15.64/16.00 (define @t317 () (@list @t66 @t309 @t308)) % 15.64/16.00 (define @t318 () (forall @t317 @t316)) % 15.64/16.00 (define @t319 () (or @t296 @t318)) % 15.64/16.00 (define @t320 () (forall @t93 @t319)) % 15.64/16.00 (define @t321 () (or @t73 @t320)) % 15.64/16.00 (define @t322 () (or @t73 @t319)) % 15.64/16.00 (define @t323 () (or @t296 @t73 @t318)) % 15.64/16.00 (define @t324 () (or @t73 @t318)) % 15.64/16.00 (define @t325 () (or @t312 @t311)) % 15.64/16.00 (define @t326 () (or @t315 @t314 @t325)) % 15.64/16.00 (define @t327 () (forall @t317 @t326)) % 15.64/16.00 (define @t328 () (forall (@list @t309 @t308) @t326)) % 15.64/16.00 (define @t329 () (forall (@list @t308) @t325)) % 15.64/16.00 (define @t330 () (@list @t309)) % 15.64/16.00 (define @t331 () (forall @t330 @t63)) % 15.64/16.00 (define @t332 () (forall @t330 @t313)) % 15.64/16.00 (define @t333 () (and @t332 @t331)) % 15.64/16.00 (define @t334 () (forall @t330 @t314)) % 15.64/16.00 (define @t335 () (or @t315 @t334 @t329)) % 15.64/16.00 (define @t336 () (not (= @t2 @t80))) % 15.64/16.00 (define @t337 () (not @t83)) % 15.64/16.00 (define @t338 () (or @t337 @t336)) % 15.64/16.00 (define @t339 () (forall @t85 @t338)) % 15.64/16.00 (define @t340 () (not @t69)) % 15.64/16.00 (define @t341 () (or @t340 @t67 @t65)) % 15.64/16.00 (define @t342 () (and (forall @t70 @t341) @t63)) % 15.64/16.00 (define @t343 () (or @t315 @t342 @t339)) % 15.64/16.00 (define @t344 () (forall @t89 @t343)) % 15.64/16.00 (define @t345 () (or @t73 @t344)) % 15.64/16.00 (define @t346 () (or @t73 @t343)) % 15.64/16.00 (define @t347 () (or @t315 @t73 @t342 @t339)) % 15.64/16.00 (define @t348 () (or @t73 @t342 @t339)) % 15.64/16.00 (define @t349 () (or @t73 @t342 @t338)) % 15.64/16.00 (define @t350 () (or @t337 @t336 @t73 @t342)) % 15.64/16.00 (define @t351 () (or @t336 @t73 @t342)) % 15.64/16.00 (define @t352 () (or @t181 @t180 @t179 @t178 @t177 @t175 @t239)) % 15.64/16.00 (define @t353 () (or @t182 @t352)) % 15.64/16.00 (define @t354 () (forall @t183 @t353)) % 15.64/16.00 (define @t355 () (@list @t171 @t173 @t172 @t176 @t170)) % 15.64/16.00 (define @t356 () (forall @t355 @t353)) % 15.64/16.00 (define @t357 () (forall @t355 @t352)) % 15.64/16.00 (define @t358 () (@var "BOUND_VARIABLE_11127" $$unsorted)) % 15.64/16.00 (define @t359 () (@var "BOUND_VARIABLE_11125" $$unsorted)) % 15.64/16.00 (define @t360 () (@var "BOUND_VARIABLE_11123" $$unsorted)) % 15.64/16.00 (define @t361 () (@var "BOUND_VARIABLE_11121" $$unsorted)) % 15.64/16.00 (define @t362 () (or @t182 @t357)) % 15.64/16.00 (define @t363 () (not (= @t12 (tptp.app (tptp.app (tptp.app (tptp.app @t361 @t121) @t360) @t120) @t358)))) % 15.64/16.00 (define @t364 () (not (tptp.ssList @t358))) % 15.64/16.00 (define @t365 () (and @t115 (or (not (tptp.ssItem @t359)) (not (tptp.memberP @t360 @t359)) (and (tptp.leq @t28 @t359) (tptp.leq @t359 @t27))))) % 15.64/16.00 (define @t366 () (not (tptp.ssList @t360))) % 15.64/16.00 (define @t367 () (not (tptp.ssList @t361))) % 15.64/16.00 (define @t368 () (not @t118)) % 15.64/16.00 (define @t369 () (not @t138)) % 15.64/16.00 (define @t370 () (or @t369 @t368 @t367 @t366 @t365 @t364 @t363)) % 15.64/16.00 (define @t371 () (@list @t27 @t361 @t360 @t359 @t358)) % 15.64/16.00 (define @t372 () (forall @t371 @t370)) % 15.64/16.00 (define @t373 () (not @t372)) % 15.64/16.00 (define @t374 () (and @t141 @t373)) % 15.64/16.00 (define @t375 () (forall @t33 (not @t374))) % 15.64/16.00 (define @t376 () (not @t375)) % 15.64/16.00 (define @t377 () (or @t367 @t366 @t365 @t364 @t363)) % 15.64/16.00 (define @t378 () (or @t369 @t368 @t377)) % 15.64/16.00 (define @t379 () (forall @t371 @t378)) % 15.64/16.00 (define @t380 () (@list @t361 @t360 @t359 @t358)) % 15.64/16.00 (define @t381 () (forall @t380 @t378)) % 15.64/16.00 (define @t382 () (forall @t380 @t377)) % 15.64/16.00 (define @t383 () (@var "BOUND_VARIABLE_11085" $$unsorted)) % 15.64/16.00 (define @t384 () (@var "BOUND_VARIABLE_11083" $$unsorted)) % 15.64/16.00 (define @t385 () (@var "BOUND_VARIABLE_11081" $$unsorted)) % 15.64/16.00 (define @t386 () (or @t369 @t368 @t382)) % 15.64/16.00 (define @t387 () (not (= @t12 (tptp.app (tptp.app (tptp.app @t123 @t385) @t120) @t383)))) % 15.64/16.00 (define @t388 () (not (tptp.ssList @t383))) % 15.64/16.00 (define @t389 () (and @t115 (or (not (tptp.ssItem @t384)) (not (tptp.memberP @t385 @t384)) (and (tptp.leq @t28 @t384) (tptp.leq @t384 @t27))))) % 15.64/16.00 (define @t390 () (not (tptp.ssList @t385))) % 15.64/16.00 (define @t391 () (not @t134)) % 15.64/16.00 (define @t392 () (or @t391 @t390 @t389 @t388 @t387)) % 15.64/16.00 (define @t393 () (@list @t122 @t385 @t384 @t383)) % 15.64/16.00 (define @t394 () (forall @t393 @t392)) % 15.64/16.00 (define @t395 () (or @t369 @t368 @t394)) % 15.64/16.00 (define @t396 () (or @t368 @t394)) % 15.64/16.00 (define @t397 () (not @t396)) % 15.64/16.00 (define @t398 () (and @t138 @t397)) % 15.64/16.00 (define @t399 () (forall @t31 (not @t398))) % 15.64/16.00 (define @t400 () (not @t399)) % 15.64/16.00 (define @t401 () (or @t390 @t389 @t388 @t387)) % 15.64/16.00 (define @t402 () (or @t391 @t401)) % 15.64/16.00 (define @t403 () (forall @t393 @t402)) % 15.64/16.00 (define @t404 () (@list @t385 @t384 @t383)) % 15.64/16.00 (define @t405 () (forall @t404 @t402)) % 15.64/16.00 (define @t406 () (forall @t404 @t401)) % 15.64/16.00 (define @t407 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 15.64/16.00 (define @t408 () (@var "BOUND_VARIABLE_11044" $$unsorted)) % 15.64/16.00 (define @t409 () (or @t391 @t406)) % 15.64/16.00 (define @t410 () (not (= @t12 (tptp.app @t124 @t407)))) % 15.64/16.00 (define @t411 () (not (tptp.ssList @t407))) % 15.64/16.00 (define @t412 () (or (not (tptp.ssItem @t408)) (not (tptp.memberP @t109 @t408)) (and (tptp.leq @t28 @t408) (tptp.leq @t408 @t27)))) % 15.64/16.00 (define @t413 () (and @t115 @t412)) % 15.64/16.00 (define @t414 () (not @t130)) % 15.64/16.00 (define @t415 () (or @t414 @t413 @t411 @t410)) % 15.64/16.00 (define @t416 () (@list @t109 @t408 @t407)) % 15.64/16.00 (define @t417 () (forall @t416 @t415)) % 15.64/16.00 (define @t418 () (or @t391 @t417)) % 15.64/16.00 (define @t419 () (forall @t136 @t418)) % 15.64/16.00 (define @t420 () (or @t368 @t419)) % 15.64/16.00 (define @t421 () (or @t368 @t418)) % 15.64/16.00 (define @t422 () (or @t391 @t368 @t417)) % 15.64/16.00 (define @t423 () (or @t368 @t417)) % 15.64/16.00 (define @t424 () (not @t423)) % 15.64/16.00 (define @t425 () (and @t134 @t424)) % 15.64/16.00 (define @t426 () (forall @t136 (not @t425))) % 15.64/16.00 (define @t427 () (not @t426)) % 15.64/16.00 (define @t428 () (or @t411 @t410)) % 15.64/16.00 (define @t429 () (or @t414 @t413 @t428)) % 15.64/16.00 (define @t430 () (forall @t416 @t429)) % 15.64/16.00 (define @t431 () (forall (@list @t408 @t407) @t429)) % 15.64/16.00 (define @t432 () (forall (@list @t407) @t428)) % 15.64/16.00 (define @t433 () (@list @t408)) % 15.64/16.00 (define @t434 () (forall @t433 @t412)) % 15.64/16.00 (define @t435 () (forall @t433 @t115)) % 15.64/16.00 (define @t436 () (and @t435 @t434)) % 15.64/16.00 (define @t437 () (forall @t433 @t413)) % 15.64/16.00 (define @t438 () (or @t414 @t437 @t432)) % 15.64/16.00 (define @t439 () (= @t12 @t125)) % 15.64/16.00 (define @t440 () (not @t439)) % 15.64/16.00 (define @t441 () (not @t126)) % 15.64/16.00 (define @t442 () (or @t441 @t440)) % 15.64/16.00 (define @t443 () (forall @t128 @t442)) % 15.64/16.00 (define @t444 () (not @t110)) % 15.64/16.00 (define @t445 () (not @t111)) % 15.64/16.00 (define @t446 () (forall @t113 (or @t445 @t444 (and @t106 @t104)))) % 15.64/16.00 (define @t447 () (and @t115 @t446)) % 15.64/16.00 (define @t448 () (or @t414 @t447 @t443)) % 15.64/16.00 (define @t449 () (forall @t132 @t448)) % 15.64/16.00 (define @t450 () (or @t368 @t449)) % 15.64/16.00 (define @t451 () (or @t368 @t448)) % 15.64/16.00 (define @t452 () (or @t414 @t368 @t447 @t443)) % 15.64/16.00 (define @t453 () (or @t368 @t447 @t443)) % 15.64/16.00 (define @t454 () (not @t453)) % 15.64/16.00 (define @t455 () (and @t130 @t454)) % 15.64/16.00 (define @t456 () (forall @t132 (not @t455))) % 15.64/16.00 (define @t457 () (not @t456)) % 15.64/16.00 (define @t458 () (or @t368 @t447 @t442)) % 15.64/16.00 (define @t459 () (or @t441 @t440 @t368 @t447)) % 15.64/16.00 (define @t460 () (not @t446)) % 15.64/16.00 (define @t461 () (or @t116 @t460)) % 15.64/16.00 (define @t462 () (not @t461)) % 15.64/16.00 (define @t463 () (or @t441 @t440 @t368 @t462)) % 15.64/16.00 (define @t464 () (and @t126 @t439 @t118 @t461)) % 15.64/16.00 (define @t465 () (forall @t128 (not @t464))) % 15.64/16.00 (define @t466 () (not @t465)) % 15.64/16.00 (define @t467 () (not @t108)) % 15.64/16.00 (define @t468 () (or @t445 @t444 @t467)) % 15.64/16.00 (define @t469 () (forall @t113 (not @t112))) % 15.64/16.00 (define @t470 () (not @t469)) % 15.64/16.00 (define @t471 () (forall @t193 @t186)) % 15.64/16.00 (define @t472 () (@quantifiers_skolemize @t471 5)) % 15.64/16.00 (define @t473 () (@quantifiers_skolemize @t471 1)) % 15.64/16.00 (define @t474 () (@quantifiers_skolemize @t471 3)) % 15.64/16.00 (define @t475 () (@quantifiers_skolemize @t471 0)) % 15.64/16.00 (define @t476 () (@quantifiers_skolemize @t471 2)) % 15.64/16.00 (define @t477 () (tptp.app (tptp.app (tptp.app (tptp.app @t476 (tptp.cons @t475 tptp.nil)) @t474) (tptp.cons @t473 tptp.nil)) @t472)) % 15.64/16.00 (define @t478 () (forall @t183 (or @t182 @t181 @t180 @t179 @t178 @t177 @t175 (not (= @t174 @t477))))) % 15.64/16.00 (define @t479 () (tptp.ssList @t472)) % 15.64/16.00 (define @t480 () (not @t479)) % 15.64/16.00 (define @t481 () (tptp.leq @t475 @t473)) % 15.64/16.00 (define @t482 () (@quantifiers_skolemize @t471 4)) % 15.64/16.00 (define @t483 () (tptp.leq @t475 @t482)) % 15.64/16.00 (define @t484 () (tptp.leq @t482 @t473)) % 15.64/16.00 (define @t485 () (and @t484 @t483)) % 15.64/16.00 (define @t486 () (tptp.memberP @t474 @t482)) % 15.64/16.00 (define @t487 () (not @t486)) % 15.64/16.00 (define @t488 () (tptp.ssItem @t482)) % 15.64/16.00 (define @t489 () (not @t488)) % 15.64/16.00 (define @t490 () (or @t489 @t487 @t485)) % 15.64/16.00 (define @t491 () (and @t490 @t481)) % 15.64/16.00 (define @t492 () (tptp.ssList @t474)) % 15.64/16.00 (define @t493 () (not @t492)) % 15.64/16.00 (define @t494 () (tptp.ssList @t476)) % 15.64/16.00 (define @t495 () (not @t494)) % 15.64/16.00 (define @t496 () (tptp.leq @t473 @t475)) % 15.64/16.00 (define @t497 () (not @t496)) % 15.64/16.00 (define @t498 () (tptp.ssItem @t473)) % 15.64/16.00 (define @t499 () (not @t498)) % 15.64/16.00 (define @t500 () (tptp.ssItem @t475)) % 15.64/16.00 (define @t501 () (not @t500)) % 15.64/16.00 (define @t502 () (not @t478)) % 15.64/16.00 (define @t503 () (or (not (tptp.ssList @t477)) @t502 @t501 @t499 @t497 @t495 @t493 @t491 @t480)) % 15.64/16.00 (define @t504 () (@list true)) % 15.64/16.00 (define @t505 () (@list @t503)) % 15.64/16.00 (define @t506 () (and @t483 @t484)) % 15.64/16.00 (define @t507 () (or @t489 @t487 @t506)) % 15.64/16.00 (define @t508 () (and @t481 @t507)) % 15.64/16.00 (define @t509 () (or @t501 @t499 @t497 @t495 @t493 @t508 @t480)) % 15.64/16.00 (define @t510 () (not (= @t477 @t477))) % 15.64/16.00 (define @t511 () (or @t501 @t499 @t497 @t495 @t493 @t508 @t480 @t510)) % 15.64/16.00 (define @t512 () (@list false)) % 15.64/16.00 (define @t513 () (not @t508)) % 15.64/16.00 (define @t514 () (@list @t508)) % 15.64/16.00 (define @t515 () (@list @t490)) % 15.64/16.00 (define @t516 () (not @t506)) % 15.64/16.00 (define @t517 () (@list @t506)) % 15.64/16.00 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 15.64/16.00 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 15.64/16.00 (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))))))))))) % 15.64/16.00 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 15.64/16.00 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 15.64/16.00 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 15.64/16.00 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 15.64/16.00 (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))))))))))))))))) % 15.64/16.00 (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)))))))))))))))) % 15.64/16.00 (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))))))))))))))))) % 15.64/16.00 (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))))))))))))))) % 15.64/16.00 (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))))))))))))))) % 15.64/16.00 (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)))))))))))))))) % 15.64/16.00 (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))))))))))))) % 15.64/16.00 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 15.64/16.00 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 15.64/16.00 (assume @p17 (tptp.ssList tptp.nil)) % 15.64/16.00 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 15.64/16.00 (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))))))))))) % 15.64/16.00 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 15.64/16.00 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 15.64/16.00 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 15.64/16.00 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 15.64/16.00 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 15.64/16.00 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 15.64/16.00 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 15.64/16.00 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 15.64/16.00 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 15.64/16.00 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 15.64/16.00 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 15.64/16.00 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 15.64/16.00 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 15.64/16.00 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 15.64/16.00 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 15.64/16.00 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 15.64/16.00 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 15.64/16.00 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 15.64/16.00 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 15.64/16.00 (assume @p39 (not (tptp.singletonP tptp.nil))) % 15.64/16.00 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 15.64/16.00 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 15.64/16.00 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 15.64/16.00 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 15.64/16.00 (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)))))))))))) % 15.64/16.00 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 15.64/16.00 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 15.64/16.00 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 15.64/16.00 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 15.64/16.00 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 15.64/16.00 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 15.64/16.00 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 15.64/16.00 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 15.64/16.00 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 15.64/16.00 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 15.64/16.00 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 15.64/16.00 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 15.64/16.00 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 15.64/16.00 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 15.64/16.00 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 15.64/16.00 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 15.64/16.00 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 15.64/16.00 (assume @p62 (tptp.totalorderP tptp.nil)) % 15.64/16.00 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 15.64/16.00 (assume @p64 (tptp.strictorderP tptp.nil)) % 15.64/16.00 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 15.64/16.00 (assume @p66 (tptp.totalorderedP tptp.nil)) % 15.64/16.00 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 15.64/16.00 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 15.64/16.00 (assume @p69 (tptp.strictorderedP tptp.nil)) % 15.64/16.00 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 15.64/16.00 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 15.64/16.00 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 15.64/16.00 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 15.64/16.00 (assume @p74 (tptp.equalelemsP tptp.nil)) % 15.64/16.00 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 15.64/16.00 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 15.64/16.00 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 15.64/16.00 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 15.64/16.00 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 15.64/16.00 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 15.64/16.00 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 15.64/16.00 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 15.64/16.00 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 15.64/16.00 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 15.64/16.00 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 15.64/16.00 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 15.64/16.00 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 15.64/16.00 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 15.64/16.00 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 15.64/16.00 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 15.64/16.00 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 15.64/16.00 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 15.64/16.00 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 15.64/16.00 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 15.64/16.00 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 15.64/16.00 (assume @p96 @t155) % 15.64/16.00 (assume @p97 true) % 15.64/16.00 (step @p98 :rule aci_norm :args ((= (or @t185 @t184 @t168 @t167 @t166 @t165 @t163 @t162 @t157 false) @t186))) % 15.64/16.00 (step @p99 :rule evaluate :args ((not true))) % 15.64/16.00 (step @p100 :rule eq-refl :args (@t169)) % 15.64/16.00 (step @p101 :rule cong :premises (@p100) :args (@t187)) % 15.64/16.00 (step @p102 :rule trans :premises (@p101 @p99)) % 15.64/16.00 (step @p103 :rule refl :args (@t157)) % 15.64/16.00 (step @p104 :rule refl :args (@t162)) % 15.64/16.00 (step @p105 :rule refl :args (@t163)) % 15.64/16.00 (step @p106 :rule refl :args (@t165)) % 15.64/16.00 (step @p107 :rule refl :args (@t166)) % 15.64/16.00 (step @p108 :rule refl :args (@t167)) % 15.64/16.00 (step @p109 :rule refl :args (@t168)) % 15.64/16.00 (step @p110 :rule eq-symm :args (@t169 @t174)) % 15.64/16.00 (step @p111 :rule cong :premises (@p110) :args (@t188)) % 15.64/16.00 (step @p112 :rule refl :args (@t175)) % 15.64/16.00 (step @p113 :rule refl :args (@t177)) % 15.64/16.00 (step @p114 :rule refl :args (@t178)) % 15.64/16.00 (step @p115 :rule refl :args (@t179)) % 15.64/16.00 (step @p116 :rule refl :args (@t180)) % 15.64/16.00 (step @p117 :rule refl :args (@t181)) % 15.64/16.00 (step @p118 :rule refl :args (@t182)) % 15.64/16.00 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111) :args (@t189)) % 15.64/16.00 (step @p120 :rule cong :premises (@p119) :args (@t190)) % 15.64/16.00 (step @p121 :rule cong :premises (@p120) :args (@t191)) % 15.64/16.00 (step @p122 :rule refl :args (@t185)) % 15.64/16.00 (step @p123 :rule nary_cong :premises (@p122 @p121 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102) :args (@t192)) % 15.64/16.00 (step @p124 :rule trans :premises (@p123 @p98)) % 15.64/16.00 (step @p125 :rule cong :premises (@p124) :args ((forall @t193 @t192))) % 15.64/16.00 (step @p126 :rule quant-var-elim-eq :args ((= (forall @t9 @t197) @t192))) % 15.64/16.00 (step @p127 :rule aci_norm :args ((= @t198 @t197))) % 15.64/16.00 (step @p128 :rule cong :premises (@p127) :args (@t199)) % 15.64/16.00 (step @p129 :rule trans :premises (@p128 @p126)) % 15.64/16.00 (step @p130 :rule cong :premises (@p129) :args (@t200)) % 15.64/16.00 (step @p131 :rule quant-merge-prenex :args ((= @t200 @t201))) % 15.64/16.00 (step @p132 :rule symm :premises (@p131)) % 15.64/16.00 (step @p133 :rule quant_var_reordering :args ((= (forall @t202 @t198) @t201))) % 15.64/16.00 (step @p134 :rule trans :premises (@p133 @p132 @p130)) % 15.64/16.00 (step @p135 :rule trans :premises (@p134 @p125)) % 15.64/16.00 (step @p136 :rule aci_norm :args ((= @t204 @t198))) % 15.64/16.00 (step @p137 :rule cong :premises (@p136) :args (@t205)) % 15.64/16.00 (step @p138 :rule trans :premises (@p137 @p135)) % 15.64/16.00 (step @p139 :rule quant-merge-prenex :args ((= (forall @t9 @t206) @t205))) % 15.64/16.00 (step @p140 :rule refl :args (@t195)) % 15.64/16.00 (step @p141 :rule alpha_equiv :args (@t207 (@list @t159 @t158 @t164 @t161 @t160 @t156) (@list @t62 @t212 @t211 @t210 @t209 @t208))) % 15.64/16.00 (step @p142 :rule refl :args (@t196)) % 15.64/16.00 (step @p143 :rule 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:rule aci_norm :args ((= (or @t224 @t227 @t236) @t235))) % 15.64/16.00 (step @p172 :rule aci_norm :args ((= (or @t196 false @t195) @t236))) % 15.64/16.00 (step @p173 :rule refl :args (@t195)) % 15.64/16.00 (step @p174 :rule eq-refl :args (@t2)) % 15.64/16.00 (step @p175 :rule cong :premises (@p174) :args (@t237)) % 15.64/16.00 (step @p176 :rule trans :premises (@p175 @p99)) % 15.64/16.00 (step @p177 :rule refl :args (@t196)) % 15.64/16.00 (step @p178 :rule nary_cong :premises (@p177 @p176 @p173) :args (@t238)) % 15.64/16.00 (step @p179 :rule trans :premises (@p178 @p172)) % 15.64/16.00 (step @p180 :rule quant-var-elim-eq :args ((= (forall @t16 (or @t144 @t243 @t242 @t241)) @t238))) % 15.64/16.00 (step @p181 :rule refl :args (@t241)) % 15.64/16.00 (step @p182 :rule refl :args (@t242)) % 15.64/16.00 (step @p183 :rule refl :args (@t243)) % 15.64/16.00 (step @p184 :rule eq-symm :args (@t2 @t12)) % 15.64/16.00 (step @p185 :rule cong :premises (@p184) :args (@t242)) % 15.64/16.00 (step @p186 :rule nary_cong :premises (@p185 @p183 @p182 @p181) :args (@t244)) % 15.64/16.00 (step @p187 :rule aci_norm :args ((= @t245 @t244))) % 15.64/16.00 (step @p188 :rule trans :premises (@p187 @p186)) % 15.64/16.00 (step @p189 :rule cong :premises (@p188) :args (@t246)) % 15.64/16.00 (step @p190 :rule trans :premises (@p189 @p180)) % 15.64/16.00 (step @p191 :rule trans :premises (@p190 @p179)) % 15.64/16.00 (step @p192 :rule refl :args (@t227)) % 15.64/16.00 (step @p193 :rule refl :args (@t224)) % 15.64/16.00 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191) :args (@t247)) % 15.64/16.00 (step @p195 :rule trans :premises (@p194 @p171)) % 15.64/16.00 (step @p196 :rule quant-miniscope-or :args ((= (forall @t16 @t248) @t247))) % 15.64/16.00 (step @p197 :rule aci_norm :args ((= @t249 @t248))) % 15.64/16.00 (step @p198 :rule cong :premises (@p197) :args ((forall @t16 @t249))) % 15.64/16.00 (step @p199 :rule trans :premises (@p198 @p196)) % 15.64/16.00 (step @p200 :rule trans :premises (@p199 @p195)) % 15.64/16.00 (step @p201 :rule aci_norm :args ((= (or @t243 @t250) @t249))) % 15.64/16.00 (step @p202 :rule bool-impl-elim :args (@t15 @t250)) % 15.64/16.00 (step @p203 :rule trans :premises (@p202 @p201)) % 15.64/16.00 (step @p204 :rule cong :premises (@p203) :args ((forall @t16 (=> @t15 @t250)))) % 15.64/16.00 (step @p205 :rule trans :premises (@p204 @p200)) % 15.64/16.00 (step @p206 :rule aci_norm :args ((= (or @t227 false) @t227))) % 15.64/16.00 (step @p207 :rule eq-refl :args (@t1)) % 15.64/16.00 (step @p208 :rule cong :premises (@p207) :args (@t251)) % 15.64/16.00 (step @p209 :rule trans :premises (@p208 @p99)) % 15.64/16.00 (step @p210 :rule nary_cong :premises (@p192 @p209) :args (@t252)) % 15.64/16.00 (step @p211 :rule trans :premises (@p210 @p206)) % 15.64/16.00 (step @p212 :rule quant-var-elim-eq :args ((= (forall @t14 (or @t145 @t254 @t253)) @t252))) % 15.64/16.00 (step @p213 :rule refl :args (@t253)) % 15.64/16.00 (step @p214 :rule refl :args (@t254)) % 15.64/16.00 (step @p215 :rule eq-symm :args (@t1 @t10)) % 15.64/16.00 (step @p216 :rule cong :premises (@p215) :args (@t253)) % 15.64/16.00 (step @p217 :rule nary_cong :premises (@p216 @p214 @p213) :args (@t255)) % 15.64/16.00 (step @p218 :rule aci_norm :args ((= @t256 @t255))) % 15.64/16.00 (step @p219 :rule trans :premises (@p218 @p217)) % 15.64/16.00 (step @p220 :rule cong :premises (@p219) :args (@t257)) % 15.64/16.00 (step @p221 :rule trans :premises (@p220 @p212)) % 15.64/16.00 (step @p222 :rule trans :premises (@p221 @p211)) % 15.64/16.00 (step @p223 :rule refl :args (@t241)) % 15.64/16.00 (step @p224 :rule refl :args (@t242)) % 15.64/16.00 (step @p225 :rule nary_cong :premises (@p224 @p223 @p193 @p222) :args (@t258)) % 15.64/16.00 (step @p226 :rule quant-miniscope-or :args ((= (forall @t14 @t259) @t258))) % 15.64/16.00 (step @p227 :rule aci_norm :args ((= @t260 @t259))) % 15.64/16.00 (step @p228 :rule cong :premises (@p227) :args ((forall @t14 @t260))) % 15.64/16.00 (step @p229 :rule trans :premises (@p228 @p226)) % 15.64/16.00 (step @p230 :rule trans :premises (@p229 @p225)) % 15.64/16.00 (step @p231 :rule aci_norm :args ((= (or @t254 @t261) @t260))) % 15.64/16.00 (step @p232 :rule bool-impl-elim :args (@t13 @t261)) % 15.64/16.00 (step @p233 :rule trans :premises (@p232 @p231)) % 15.64/16.00 (step @p234 :rule cong :premises (@p233) :args ((forall @t14 (=> @t13 @t261)))) % 15.64/16.00 (step @p235 :rule trans :premises (@p234 @p230)) % 15.64/16.00 (step @p236 :rule aci_norm :args ((= @t263 @t222))) % 15.64/16.00 (step @p237 :rule cong :premises (@p236) :args (@t264)) % 15.64/16.00 (step @p238 :rule quant-merge-prenex :args ((= (forall @t101 @t266) @t264))) % 15.64/16.00 (step @p239 :rule alpha_equiv :args (@t267 (@list @t212 @t211 @t210 @t209 @t208) (@list @t61 @t271 @t270 @t269 @t268))) % 15.64/16.00 (step @p240 :rule refl :args (@t221)) % 15.64/16.00 (step @p241 :rule nary_cong :premises (@p240 @p239) :args (@t272)) % 15.64/16.00 (step @p242 :rule 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(@t73)) % 15.64/16.00 (step @p256 :rule refl :args (@t278)) % 15.64/16.00 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254) :args (@t291)) % 15.64/16.00 (step @p258 :rule quant-miniscope-or :args ((= @t286 @t291))) % 15.64/16.00 (step @p259 :rule trans :premises (@p258 @p257)) % 15.64/16.00 (step @p260 :rule symm :premises (@p259)) % 15.64/16.00 (step @p261 :rule cong :premises (@p260) :args ((forall @t97 @t300))) % 15.64/16.00 (step @p262 :rule trans :premises (@p261 @p253)) % 15.64/16.00 (step @p263 :rule trans :premises (@p262 @p252)) % 15.64/16.00 (step @p264 :rule aci_norm :args ((= (or @t278 @t301) @t300))) % 15.64/16.00 (step @p265 :rule bool-impl-elim :args (@t95 @t301)) % 15.64/16.00 (step @p266 :rule trans :premises (@p265 @p264)) % 15.64/16.00 (step @p267 :rule cong :premises (@p266) :args ((forall @t97 (=> @t95 @t301)))) % 15.64/16.00 (step @p268 :rule trans :premises (@p267 @p263)) % 15.64/16.00 (step @p269 :rule aci_norm :args ((= @t303 @t297))) % 15.64/16.00 (step @p270 :rule cong :premises (@p269) :args (@t304)) % 15.64/16.00 (step @p271 :rule quant-merge-prenex :args ((= (forall @t93 @t306) @t304))) % 15.64/16.00 (step @p272 :rule alpha_equiv :args (@t307 (@list @t290 @t289 @t288) (@list @t66 @t309 @t308))) % 15.64/16.00 (step @p273 :rule refl :args (@t296)) % 15.64/16.00 (step @p274 :rule nary_cong :premises (@p273 @p272) :args (@t310)) % 15.64/16.00 (step @p275 :rule quant-miniscope-or :args ((= @t306 @t310))) % 15.64/16.00 (step @p276 :rule trans :premises (@p275 @p274)) % 15.64/16.00 (step @p277 :rule symm :premises (@p276)) % 15.64/16.00 (step @p278 :rule cong :premises (@p277) :args (@t320)) % 15.64/16.00 (step @p279 :rule trans :premises (@p278 @p271)) % 15.64/16.00 (step @p280 :rule trans :premises (@p279 @p270)) % 15.64/16.00 (step @p281 :rule refl :args (@t73)) % 15.64/16.00 (step @p282 :rule nary_cong :premises (@p281 @p280) :args (@t321)) % 15.64/16.00 (step @p283 :rule quant-miniscope-or :args ((= (forall @t93 @t322) 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quant-unused-vars :args ((= @t331 @t63))) % 15.64/16.00 (step @p298 :rule alpha_equiv :args (@t332 (@list @t309) (@list @t64))) % 15.64/16.00 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t333)) % 15.64/16.00 (step @p300 :rule quant-miniscope-and :args ((= @t334 @t333))) % 15.64/16.00 (step @p301 :rule trans :premises (@p300 @p299)) % 15.64/16.00 (step @p302 :rule refl :args (@t315)) % 15.64/16.00 (step @p303 :rule nary_cong :premises (@p302 @p301 @p296) :args (@t335)) % 15.64/16.00 (step @p304 :rule quant-miniscope-or :args ((= @t328 @t335))) % 15.64/16.00 (step @p305 :rule trans :premises (@p304 @p303)) % 15.64/16.00 (step @p306 :rule symm :premises (@p305)) % 15.64/16.00 (step @p307 :rule cong :premises (@p306) :args (@t344)) % 15.64/16.00 (step @p308 :rule trans :premises (@p307 @p295)) % 15.64/16.00 (step @p309 :rule trans :premises (@p308 @p294)) % 15.64/16.00 (step @p310 :rule nary_cong :premises (@p281 @p309) :args (@t345)) % 15.64/16.00 (step @p311 :rule 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@p403)) % 15.64/16.00 (step @p534 :rule refl :args (@t141)) % 15.64/16.00 (step @p535 :rule nary_cong :premises (@p534 @p533) :args (@t142)) % 15.64/16.00 (step @p536 :rule cong :premises (@p535) :args (@t143)) % 15.64/16.00 (step @p537 :rule trans :premises (@p536 @p379)) % 15.64/16.00 (step @p538 :rule eq-symm :args (@t12 @t2)) % 15.64/16.00 (step @p539 :rule cong :premises (@p538) :args (@t144)) % 15.64/16.00 (step @p540 :rule eq-symm :args (@t10 @t1)) % 15.64/16.00 (step @p541 :rule cong :premises (@p540) :args (@t145)) % 15.64/16.00 (step @p542 :rule nary_cong :premises (@p541 @p539 @p537 @p358) :args (@t146)) % 15.64/16.00 (step @p543 :rule refl :args (@t13)) % 15.64/16.00 (step @p544 :rule cong :premises (@p543 @p542) :args (@t147)) % 15.64/16.00 (step @p545 :rule cong :premises (@p544) :args (@t148)) % 15.64/16.00 (step @p546 :rule trans :premises (@p545 @p235)) % 15.64/16.00 (step @p547 :rule refl :args (@t15)) % 15.64/16.00 (step @p548 :rule cong :premises (@p547 @p546) :args (@t149)) % 15.64/16.00 (step @p549 :rule cong :premises (@p548) :args (@t150)) % 15.64/16.00 (step @p550 :rule trans :premises (@p549 @p205)) % 15.64/16.00 (step @p551 :rule refl :args (@t21)) % 15.64/16.00 (step @p552 :rule cong :premises (@p551 @p550) :args (@t151)) % 15.64/16.00 (step @p553 :rule cong :premises (@p552) :args (@t152)) % 15.64/16.00 (step @p554 :rule trans :premises (@p553 @p170)) % 15.64/16.00 (step @p555 :rule refl :args (@t17)) % 15.64/16.00 (step @p556 :rule cong :premises (@p555 @p554) :args (@t153)) % 15.64/16.00 (step @p557 :rule cong :premises (@p556) :args (@t154)) % 15.64/16.00 (step @p558 :rule trans :premises (@p557 @p161)) % 15.64/16.00 (step @p559 :rule cong :premises (@p558) :args (@t155)) % 15.64/16.00 (step @p560 :rule eq_resolve :premises (@p96 @p559)) % 15.64/16.00 (step @p561 :rule not_or_elim :premises (@p560) :args (1)) % 15.64/16.00 (step @p562 :rule skolemize :premises (@p561)) % 15.64/16.00 (step @p563 :rule bool-double-not-elim :args (@t478)) % 15.64/16.00 (step @p564 :rule refl :args (@t503)) % 15.64/16.00 (step @p565 :rule nary_cong :premises (@p564 @p563) :args ((or @t503 (not @t502)))) % 15.64/16.00 (step @p566 :rule cnf_or_neg :args (@t503 1)) % 15.64/16.00 (step @p567 :rule eq_resolve :premises (@p566 @p565)) % 15.64/16.00 (step @p568 :rule reordering :premises (@p567) :args ((or @t478 @t503))) % 15.64/16.00 (step @p569 :rule chain_m_resolution :premises (@p568 @p562) :args (@t478 @t504 @t505)) % 15.64/16.00 (step @p570 :rule aci_norm :args ((= (or @t501 @t499 @t497 @t495 @t493 @t508 @t480 false) @t509))) % 15.64/16.00 (step @p571 :rule eq-refl :args (@t477)) % 15.64/16.00 (step @p572 :rule cong :premises (@p571) :args (@t510)) % 15.64/16.00 (step @p573 :rule trans :premises (@p572 @p99)) % 15.64/16.00 (step @p574 :rule refl :args (@t480)) % 15.64/16.00 (step @p575 :rule refl :args (@t508)) % 15.64/16.00 (step @p576 :rule refl :args (@t493)) % 15.64/16.00 (step @p577 :rule refl :args (@t495)) % 15.64/16.00 (step @p578 :rule refl :args (@t497)) % 15.64/16.00 (step @p579 :rule refl :args (@t499)) % 15.64/16.00 (step @p580 :rule refl :args (@t501)) % 15.64/16.00 (step @p581 :rule nary_cong :premises (@p580 @p579 @p578 @p577 @p576 @p575 @p574 @p573) :args (@t511)) % 15.64/16.00 (step @p582 :rule trans :premises (@p581 @p570)) % 15.64/16.00 (step @p583 :rule refl :args (@t478)) % 15.64/16.00 (step @p584 :rule cong :premises (@p583 @p582) :args ((=> @t478 @t511))) % 15.64/16.00 (assume-push @p667 @t478) % 15.64/16.00 (step @p586 :rule instantiate :premises (@p569) :args ((@list @t475 @t473 @t476 @t474 @t482 @t472))) % 15.64/16.00 (step-pop @p668 :rule scope :premises (@p586)) % 15.64/16.00 (step @p587 :rule process_scope :premises (@p668) :args (@t511)) % 15.64/16.00 (step @p589 :rule eq_resolve :premises (@p587 @p584)) % 15.64/16.00 (step @p590 :rule implies_elim :premises (@p589)) % 15.64/16.00 (step @p591 :rule chain_m_resolution :premises (@p590 @p569) :args (@t509 @t512 (@list @t478))) % 15.64/16.00 (step @p592 :rule bool-double-not-elim :args (@t479)) % 15.64/16.00 (step @p593 :rule nary_cong :premises (@p564 @p592) :args ((or @t503 (not @t480)))) % 15.64/16.00 (step @p594 :rule cnf_or_neg :args (@t503 8)) % 15.64/16.00 (step @p595 :rule eq_resolve :premises (@p594 @p593)) % 15.64/16.00 (step @p596 :rule reordering :premises (@p595) :args ((or @t479 @t503))) % 15.64/16.00 (step @p597 :rule chain_m_resolution :premises (@p596 @p562) :args (@t479 @t504 @t505)) % 15.64/16.00 (step @p598 :rule bool-double-not-elim :args (@t492)) % 15.64/16.00 (step @p599 :rule nary_cong :premises (@p564 @p598) :args ((or @t503 (not @t493)))) % 15.64/16.00 (step @p600 :rule cnf_or_neg :args (@t503 6)) % 15.64/16.00 (step @p601 :rule eq_resolve :premises (@p600 @p599)) % 15.64/16.00 (step @p602 :rule reordering :premises (@p601) :args ((or @t492 @t503))) % 15.64/16.00 (step @p603 :rule chain_m_resolution :premises (@p602 @p562) :args (@t492 @t504 @t505)) % 15.64/16.00 (step @p604 :rule bool-double-not-elim :args (@t494)) % 15.64/16.00 (step @p605 :rule nary_cong :premises (@p564 @p604) :args ((or @t503 (not @t495)))) % 15.64/16.00 (step @p606 :rule cnf_or_neg :args (@t503 5)) % 15.64/16.00 (step @p607 :rule eq_resolve :premises (@p606 @p605)) % 15.64/16.00 (step @p608 :rule reordering :premises (@p607) :args ((or @t494 @t503))) % 15.64/16.00 (step @p609 :rule chain_m_resolution :premises (@p608 @p562) :args (@t494 @t504 @t505)) % 15.64/16.00 (step @p610 :rule bool-double-not-elim :args (@t496)) % 15.64/16.00 (step @p611 :rule nary_cong :premises (@p564 @p610) :args ((or @t503 (not @t497)))) % 15.64/16.00 (step @p612 :rule cnf_or_neg :args (@t503 4)) % 15.64/16.00 (step @p613 :rule eq_resolve :premises (@p612 @p611)) % 15.64/16.00 (step @p614 :rule reordering :premises (@p613) :args ((or @t496 @t503))) % 15.64/16.00 (step @p615 :rule chain_m_resolution :premises (@p614 @p562) :args (@t496 @t504 @t505)) % 15.64/16.00 (step @p616 :rule bool-double-not-elim :args (@t498)) % 15.64/16.00 (step @p617 :rule nary_cong :premises (@p564 @p616) :args ((or @t503 (not @t499)))) % 15.64/16.00 (step @p618 :rule cnf_or_neg :args (@t503 3)) % 15.64/16.00 (step @p619 :rule eq_resolve :premises (@p618 @p617)) % 15.64/16.00 (step @p620 :rule reordering :premises (@p619) :args ((or @t498 @t503))) % 15.64/16.00 (step @p621 :rule chain_m_resolution :premises (@p620 @p562) :args (@t498 @t504 @t505)) % 15.64/16.00 (step @p622 :rule bool-double-not-elim :args (@t500)) % 15.64/16.00 (step @p623 :rule nary_cong :premises (@p564 @p622) :args ((or @t503 (not @t501)))) % 15.64/16.00 (step @p624 :rule cnf_or_neg :args (@t503 2)) % 15.64/16.00 (step @p625 :rule eq_resolve :premises (@p624 @p623)) % 15.64/16.00 (step @p626 :rule reordering :premises (@p625) :args ((or @t500 @t503))) % 15.64/16.00 (step @p627 :rule chain_m_resolution :premises (@p626 @p562) :args (@t500 @t504 @t505)) % 15.64/16.00 (step @p628 :rule cnf_or_pos :args (@t509)) % 15.64/16.00 (step @p629 :rule reordering :premises (@p628) :args ((or @t501 @t499 @t497 @t495 @t493 @t480 @t508 (not @t509)))) % 15.64/16.00 (step @p630 :rule chain_m_resolution :premises (@p629 @p627 @p621 @p615 @p609 @p603 @p597 @p591) :args (@t508 (@list false false false false false false false) (@list @t500 @t498 @t496 @t494 @t492 @t479 @t509))) % 15.64/16.00 (step @p631 :rule cnf_and_pos :args (@t508 0)) % 15.64/16.00 (step @p632 :rule reordering :premises (@p631) :args ((or @t481 @t513))) % 15.64/16.00 (step @p633 :rule chain_m_resolution :premises (@p632 @p630) :args (@t481 @t512 @t514)) % 15.64/16.00 (step @p634 :rule cnf_or_neg :args (@t503 7)) % 15.64/16.00 (step @p635 :rule chain_m_resolution :premises (@p634 @p562) :args ((not @t491) @t504 @t505)) % 15.64/16.00 (step @p636 :rule cnf_and_neg :args (@t491)) % 15.64/16.00 (step @p637 :rule chain_m_resolution :premises (@p636 @p635 @p633) :args ((not @t490) (@list true false) (@list @t491 @t481))) % 15.64/16.00 (step @p638 :rule cnf_or_neg :args (@t490 2)) % 15.64/16.00 (step @p639 :rule chain_m_resolution :premises (@p638 @p637) :args ((not @t485) @t504 @t515)) % 15.64/16.00 (step @p640 :rule cnf_and_pos :args (@t508 1)) % 15.64/16.00 (step @p641 :rule reordering :premises (@p640) :args ((or @t507 @t513))) % 15.64/16.00 (step @p642 :rule chain_m_resolution :premises (@p641 @p630) :args (@t507 @t512 @t514)) % 15.64/16.00 (step @p643 :rule bool-double-not-elim :args (@t486)) % 15.64/16.00 (step @p644 :rule refl :args (@t490)) % 15.64/16.00 (step @p645 :rule nary_cong :premises (@p644 @p643) :args ((or @t490 (not @t487)))) % 15.64/16.00 (step @p646 :rule cnf_or_neg :args (@t490 1)) % 15.64/16.00 (step @p647 :rule eq_resolve :premises (@p646 @p645)) % 15.64/16.00 (step @p648 :rule reordering :premises (@p647) :args ((or @t486 @t490))) % 15.64/16.00 (step @p649 :rule chain_m_resolution :premises (@p648 @p637) :args (@t486 @t504 @t515)) % 15.64/16.00 (step @p650 :rule bool-double-not-elim :args (@t488)) % 15.64/16.00 (step @p651 :rule nary_cong :premises (@p644 @p650) :args ((or @t490 (not @t489)))) % 15.64/16.00 (step @p652 :rule cnf_or_neg :args (@t490 0)) % 15.64/16.00 (step @p653 :rule eq_resolve :premises (@p652 @p651)) % 15.64/16.00 (step @p654 :rule reordering :premises (@p653) :args ((or @t488 @t490))) % 15.64/16.00 (step @p655 :rule chain_m_resolution :premises (@p654 @p637) :args (@t488 @t504 @t515)) % 15.64/16.00 (step @p656 :rule cnf_or_pos :args (@t507)) % 15.64/16.00 (step @p657 :rule reordering :premises (@p656) :args ((or @t489 @t487 @t506 (not @t507)))) % 15.64/16.00 (step @p658 :rule chain_m_resolution :premises (@p657 @p655 @p649 @p642) :args (@t506 (@list false false false) (@list @t488 @t486 @t507))) % 15.64/16.00 (step @p659 :rule cnf_and_pos :args (@t506 0)) % 15.64/16.00 (step @p660 :rule reordering :premises (@p659) :args ((or @t483 @t516))) % 15.64/16.00 (step @p661 :rule chain_m_resolution :premises (@p660 @p658) :args (@t483 @t512 @t517)) % 15.64/16.00 (step @p662 :rule cnf_and_pos :args (@t506 1)) % 15.64/16.00 (step @p663 :rule reordering :premises (@p662) :args ((or @t484 @t516))) % 15.64/16.00 (step @p664 :rule chain_m_resolution :premises (@p663 @p658) :args (@t484 @t512 @t517)) % 15.64/16.00 (step @p665 :rule cnf_and_neg :args (@t485)) % 15.64/16.00 (step @p666 false :rule chain_m_resolution :premises (@p665 @p664 @p661 @p639) :args (false (@list false false true) (@list @t484 @t483 @t485))) % 15.64/16.00 ) % 15.64/16.00 % SZS output end Proof % 15.64/16.00 % cvc5 exiting %------------------------------------------------------------------------------