%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC404+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 : n027.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 08:59:11 AM UTC 2026 % Result : Theorem 27.96s 28.18s % Output : Proof 27.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC404+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:46:21 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 27.96/28.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.96/28.18 --- Run --no-e-matching --full-saturate-quant at 6... % 27.96/28.18 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.96/28.18 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.96/28.18 % SZS status Theorem % 27.96/28.18 % SZS output start Proof % 27.96/28.18 ( % 27.96/28.18 (declare-sort $$unsorted 0) % 27.96/28.18 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 27.96/28.18 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 27.96/28.18 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 27.96/28.18 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 27.96/28.18 (declare-const tptp.nil $$unsorted) % 27.96/28.18 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.ssList (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 27.96/28.18 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 27.96/28.18 (define @t1 () (@var "V" $$unsorted)) % 27.96/28.18 (define @t2 () (@var "U" $$unsorted)) % 27.96/28.18 (define @t3 () (= @t2 @t1)) % 27.96/28.18 (define @t4 () (not @t3)) % 27.96/28.18 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 27.96/28.18 (define @t6 () (tptp.ssItem @t1)) % 27.96/28.18 (define @t7 () (@list @t1)) % 27.96/28.18 (define @t8 () (tptp.ssItem @t2)) % 27.96/28.18 (define @t9 () (@list @t2)) % 27.96/28.18 (define @t10 () (@var "X" $$unsorted)) % 27.96/28.18 (define @t11 () (tptp.cons @t1 @t10)) % 27.96/28.18 (define @t12 () (@var "W" $$unsorted)) % 27.96/28.18 (define @t13 () (tptp.ssList @t10)) % 27.96/28.18 (define @t14 () (@list @t10)) % 27.96/28.18 (define @t15 () (tptp.ssList @t12)) % 27.96/28.18 (define @t16 () (@list @t12)) % 27.96/28.18 (define @t17 () (tptp.ssList @t2)) % 27.96/28.18 (define @t18 () (tptp.cons @t1 tptp.nil)) % 27.96/28.18 (define @t19 () (tptp.app @t1 @t12)) % 27.96/28.18 (define @t20 () (tptp.frontsegP @t2 @t1)) % 27.96/28.18 (define @t21 () (tptp.ssList @t1)) % 27.96/28.18 (define @t22 () (tptp.app @t12 @t1)) % 27.96/28.18 (define @t23 () (tptp.rearsegP @t2 @t1)) % 27.96/28.18 (define @t24 () (tptp.segmentP @t2 @t1)) % 27.96/28.18 (define @t25 () (tptp.leq @t12 @t1)) % 27.96/28.18 (define @t26 () (tptp.leq @t1 @t12)) % 27.96/28.18 (define @t27 () (@var "Z" $$unsorted)) % 27.96/28.18 (define @t28 () (@var "Y" $$unsorted)) % 27.96/28.18 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 27.96/28.18 (define @t30 () (tptp.ssList @t27)) % 27.96/28.18 (define @t31 () (@list @t27)) % 27.96/28.18 (define @t32 () (tptp.ssList @t28)) % 27.96/28.18 (define @t33 () (@list @t28)) % 27.96/28.18 (define @t34 () (tptp.ssItem @t12)) % 27.96/28.18 (define @t35 () (tptp.lt @t1 @t12)) % 27.96/28.18 (define @t36 () (tptp.strictorderedP @t2)) % 27.96/28.18 (define @t37 () (= @t1 @t12)) % 27.96/28.18 (define @t38 () (tptp.cons @t1 @t2)) % 27.96/28.18 (define @t39 () (= @t1 @t2)) % 27.96/28.18 (define @t40 () (tptp.cons @t12 @t1)) % 27.96/28.18 (define @t41 () (= tptp.nil @t2)) % 27.96/28.18 (define @t42 () (tptp.hd @t2)) % 27.96/28.18 (define @t43 () (not @t41)) % 27.96/28.18 (define @t44 () (tptp.tl @t2)) % 27.96/28.18 (define @t45 () (tptp.app @t2 @t1)) % 27.96/28.18 (define @t46 () (tptp.ssList @t45)) % 27.96/28.18 (define @t47 () (forall @t7 (=> @t21 @t46))) % 27.96/28.18 (define @t48 () (=> @t17 @t47)) % 27.96/28.18 (define @t49 () (forall @t9 @t48)) % 27.96/28.18 (define @t50 () (tptp.app @t1 @t2)) % 27.96/28.18 (define @t51 () (tptp.leq @t1 @t2)) % 27.96/28.18 (define @t52 () (tptp.leq @t2 @t1)) % 27.96/28.18 (define @t53 () (tptp.geq @t2 @t1)) % 27.96/28.18 (define @t54 () (tptp.lt @t1 @t2)) % 27.96/28.18 (define @t55 () (tptp.lt @t2 @t1)) % 27.96/28.18 (define @t56 () (tptp.lt @t2 @t12)) % 27.96/28.18 (define @t57 () (tptp.gt @t2 @t1)) % 27.96/28.18 (define @t58 () (tptp.memberP @t12 @t2)) % 27.96/28.18 (define @t59 () (tptp.memberP @t1 @t2)) % 27.96/28.18 (define @t60 () (= (tptp.memberP @t19 @t2) (or @t59 @t58))) % 27.96/28.18 (define @t61 () (forall @t16 (=> @t15 @t60))) % 27.96/28.18 (define @t62 () (=> @t21 @t61)) % 27.96/28.18 (define @t63 () (forall @t7 @t62)) % 27.96/28.18 (define @t64 () (=> @t8 @t63)) % 27.96/28.18 (define @t65 () (forall @t9 @t64)) % 27.96/28.18 (define @t66 () (tptp.app @t12 @t2)) % 27.96/28.18 (define @t67 () (tptp.cons @t2 tptp.nil)) % 27.96/28.18 (define @t68 () (tptp.hd @t1)) % 27.96/28.18 (define @t69 () (= tptp.nil @t1)) % 27.96/28.18 (define @t70 () (not @t69)) % 27.96/28.18 (define @t71 () (tptp.cons @t2 @t1)) % 27.96/28.18 (define @t72 () (= @t12 @t2)) % 27.96/28.18 (define @t73 () (not (= tptp.nil @t10))) % 27.96/28.18 (define @t74 () (and @t73 (= tptp.nil @t12))) % 27.96/28.18 (define @t75 () (@var "X9" $$unsorted)) % 27.96/28.18 (define @t76 () (tptp.memberP @t1 @t75)) % 27.96/28.18 (define @t77 () (not (tptp.memberP @t2 @t75))) % 27.96/28.18 (define @t78 () (or @t77 @t76)) % 27.96/28.18 (define @t79 () (tptp.ssItem @t75)) % 27.96/28.18 (define @t80 () (@list @t75)) % 27.96/28.18 (define @t81 () (forall @t80 (=> @t79 @t78))) % 27.96/28.18 (define @t82 () (@var "X5" $$unsorted)) % 27.96/28.18 (define @t83 () (@var "X7" $$unsorted)) % 27.96/28.18 (define @t84 () (tptp.lt @t83 @t82)) % 27.96/28.18 (define @t85 () (tptp.cons @t83 tptp.nil)) % 27.96/28.18 (define @t86 () (@var "X8" $$unsorted)) % 27.96/28.18 (define @t87 () (tptp.app @t86 @t85)) % 27.96/28.18 (define @t88 () (tptp.ssList @t86)) % 27.96/28.18 (define @t89 () (and @t88 (= @t87 @t12) @t84)) % 27.96/28.18 (define @t90 () (@list @t86)) % 27.96/28.18 (define @t91 () (exists @t90 @t89)) % 27.96/28.18 (define @t92 () (tptp.ssItem @t83)) % 27.96/28.18 (define @t93 () (and @t92 @t91)) % 27.96/28.18 (define @t94 () (@list @t83)) % 27.96/28.18 (define @t95 () (exists @t94 @t93)) % 27.96/28.18 (define @t96 () (@var "X6" $$unsorted)) % 27.96/28.18 (define @t97 () (tptp.cons @t82 tptp.nil)) % 27.96/28.18 (define @t98 () (tptp.app @t97 @t96)) % 27.96/28.18 (define @t99 () (tptp.ssList @t96)) % 27.96/28.18 (define @t100 () (and @t99 (= @t98 @t27) @t95)) % 27.96/28.18 (define @t101 () (@list @t96)) % 27.96/28.18 (define @t102 () (exists @t101 @t100)) % 27.96/28.18 (define @t103 () (tptp.ssItem @t82)) % 27.96/28.18 (define @t104 () (and @t103 @t102)) % 27.96/28.18 (define @t105 () (@list @t82)) % 27.96/28.18 (define @t106 () (exists @t105 @t104)) % 27.96/28.18 (define @t107 () (@var "X3" $$unsorted)) % 27.96/28.18 (define @t108 () (@var "X1" $$unsorted)) % 27.96/28.18 (define @t109 () (tptp.lt @t108 @t107)) % 27.96/28.18 (define @t110 () (@var "X4" $$unsorted)) % 27.96/28.18 (define @t111 () (tptp.cons @t107 tptp.nil)) % 27.96/28.18 (define @t112 () (tptp.app @t111 @t110)) % 27.96/28.18 (define @t113 () (tptp.ssList @t110)) % 27.96/28.18 (define @t114 () (and @t113 (= @t112 @t12) @t109)) % 27.96/28.18 (define @t115 () (@list @t110)) % 27.96/28.18 (define @t116 () (exists @t115 @t114)) % 27.96/28.18 (define @t117 () (tptp.ssItem @t107)) % 27.96/28.18 (define @t118 () (and @t117 @t116)) % 27.96/28.18 (define @t119 () (@list @t107)) % 27.96/28.18 (define @t120 () (exists @t119 @t118)) % 27.96/28.18 (define @t121 () (tptp.cons @t108 tptp.nil)) % 27.96/28.18 (define @t122 () (@var "X2" $$unsorted)) % 27.96/28.18 (define @t123 () (tptp.app @t122 @t121)) % 27.96/28.18 (define @t124 () (tptp.ssList @t122)) % 27.96/28.18 (define @t125 () (and @t124 (= @t123 @t28) @t120)) % 27.96/28.18 (define @t126 () (@list @t122)) % 27.96/28.18 (define @t127 () (exists @t126 @t125)) % 27.96/28.18 (define @t128 () (tptp.ssItem @t108)) % 27.96/28.18 (define @t129 () (and @t128 @t127)) % 27.96/28.18 (define @t130 () (@list @t108)) % 27.96/28.18 (define @t131 () (exists @t130 @t129)) % 27.96/28.18 (define @t132 () (not (tptp.strictorderedP @t12))) % 27.96/28.18 (define @t133 () (tptp.app @t28 @t12)) % 27.96/28.18 (define @t134 () (tptp.app @t133 @t27)) % 27.96/28.18 (define @t135 () (not (= @t134 @t10))) % 27.96/28.18 (define @t136 () (or @t135 @t132 @t131 @t106)) % 27.96/28.18 (define @t137 () (=> @t30 @t136)) % 27.96/28.18 (define @t138 () (forall @t31 @t137)) % 27.96/28.18 (define @t139 () (=> @t32 @t138)) % 27.96/28.18 (define @t140 () (forall @t33 @t139)) % 27.96/28.18 (define @t141 () (not (= @t2 @t12))) % 27.96/28.18 (define @t142 () (not (= @t1 @t10))) % 27.96/28.18 (define @t143 () (or @t142 @t141 @t140 @t81 @t74)) % 27.96/28.18 (define @t144 () (=> @t13 @t143)) % 27.96/28.18 (define @t145 () (forall @t14 @t144)) % 27.96/28.18 (define @t146 () (=> @t15 @t145)) % 27.96/28.18 (define @t147 () (forall @t16 @t146)) % 27.96/28.18 (define @t148 () (=> @t21 @t147)) % 27.96/28.18 (define @t149 () (forall @t7 @t148)) % 27.96/28.18 (define @t150 () (=> @t17 @t149)) % 27.96/28.18 (define @t151 () (forall @t9 @t150)) % 27.96/28.18 (define @t152 () (not @t151)) % 27.96/28.18 (define @t153 () (@var "BOUND_VARIABLE_11402" $$unsorted)) % 27.96/28.18 (define @t154 () (@var "BOUND_VARIABLE_11152" $$unsorted)) % 27.96/28.18 (define @t155 () (tptp.app @t97 @t154)) % 27.96/28.18 (define @t156 () (not (tptp.ssList @t154))) % 27.96/28.18 (define @t157 () (@var "BOUND_VARIABLE_11137" $$unsorted)) % 27.96/28.18 (define @t158 () (@var "BOUND_VARIABLE_11139" $$unsorted)) % 27.96/28.18 (define @t159 () (tptp.app @t158 (tptp.cons @t157 tptp.nil))) % 27.96/28.18 (define @t160 () (not (= @t2 @t159))) % 27.96/28.18 (define @t161 () (not (tptp.ssList @t158))) % 27.96/28.18 (define @t162 () (not (tptp.lt @t157 @t82))) % 27.96/28.18 (define @t163 () (not (tptp.ssItem @t157))) % 27.96/28.18 (define @t164 () (not @t103)) % 27.96/28.18 (define @t165 () (@list @t82 @t157 @t158 @t154)) % 27.96/28.18 (define @t166 () (not (forall @t165 (or @t164 @t163 @t162 @t161 @t160 @t156 (not (= @t155 @t153)))))) % 27.96/28.18 (define @t167 () (not (tptp.ssList @t153))) % 27.96/28.18 (define @t168 () (@var "BOUND_VARIABLE_11400" $$unsorted)) % 27.96/28.18 (define @t169 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 27.96/28.18 (define @t170 () (tptp.app @t169 @t121)) % 27.96/28.18 (define @t171 () (not (tptp.ssList @t169))) % 27.96/28.18 (define @t172 () (@var "BOUND_VARIABLE_11051" $$unsorted)) % 27.96/28.18 (define @t173 () (@var "BOUND_VARIABLE_11049" $$unsorted)) % 27.96/28.18 (define @t174 () (tptp.app (tptp.cons @t173 tptp.nil) @t172)) % 27.96/28.18 (define @t175 () (not (= @t2 @t174))) % 27.96/28.18 (define @t176 () (not (tptp.ssList @t172))) % 27.96/28.18 (define @t177 () (not (tptp.lt @t108 @t173))) % 27.96/28.18 (define @t178 () (not (tptp.ssItem @t173))) % 27.96/28.18 (define @t179 () (not @t128)) % 27.96/28.18 (define @t180 () (@list @t108 @t173 @t172 @t169)) % 27.96/28.18 (define @t181 () (not (forall @t180 (or @t179 @t178 @t177 @t176 @t175 @t171 (not (= @t170 @t168)))))) % 27.96/28.18 (define @t182 () (not (tptp.ssList @t168))) % 27.96/28.18 (define @t183 () (@var "BOUND_VARIABLE_11398" $$unsorted)) % 27.96/28.18 (define @t184 () (tptp.app (tptp.app @t168 @t2) @t153)) % 27.96/28.18 (define @t185 () (tptp.memberP @t184 @t183)) % 27.96/28.18 (define @t186 () (not (tptp.memberP @t2 @t183))) % 27.96/28.18 (define @t187 () (not (tptp.ssItem @t183))) % 27.96/28.18 (define @t188 () (= @t2 tptp.nil)) % 27.96/28.18 (define @t189 () (and (not (= tptp.nil @t184)) @t188)) % 27.96/28.18 (define @t190 () (not (tptp.ssList @t184))) % 27.96/28.18 (define @t191 () (not @t36)) % 27.96/28.18 (define @t192 () (not @t17)) % 27.96/28.18 (define @t193 () (or @t192 @t191 @t190 @t189 @t187 @t186 @t185 @t182 @t181 @t167 @t166)) % 27.96/28.18 (define @t194 () (or @t190 @t189 @t187 @t186 @t185 @t182 @t181 @t167 @t166)) % 27.96/28.18 (define @t195 () (or @t192 @t191 @t194)) % 27.96/28.18 (define @t196 () (@list @t2 @t183 @t168 @t153)) % 27.96/28.18 (define @t197 () (forall @t196 @t195)) % 27.96/28.18 (define @t198 () (@list @t183 @t168 @t153)) % 27.96/28.18 (define @t199 () (forall @t198 @t195)) % 27.96/28.18 (define @t200 () (forall @t198 @t194)) % 27.96/28.18 (define @t201 () (@var "BOUND_VARIABLE_11351" $$unsorted)) % 27.96/28.18 (define @t202 () (@var "BOUND_VARIABLE_11349" $$unsorted)) % 27.96/28.18 (define @t203 () (@var "BOUND_VARIABLE_11341" $$unsorted)) % 27.96/28.18 (define @t204 () (or @t192 @t191 @t200)) % 27.96/28.18 (define @t205 () (not (forall @t165 (or @t164 @t163 @t162 @t161 @t160 @t156 (not (= @t155 @t201)))))) % 27.96/28.18 (define @t206 () (not (tptp.ssList @t201))) % 27.96/28.18 (define @t207 () (not (forall @t180 (or @t179 @t178 @t177 @t176 @t175 @t171 (not (= @t170 @t202)))))) % 27.96/28.18 (define @t208 () (not (tptp.ssList @t202))) % 27.96/28.18 (define @t209 () (tptp.app (tptp.app @t202 @t2) @t201)) % 27.96/28.18 (define @t210 () (tptp.memberP @t209 @t203)) % 27.96/28.18 (define @t211 () (not (tptp.memberP @t2 @t203))) % 27.96/28.18 (define @t212 () (not (tptp.ssItem @t203))) % 27.96/28.18 (define @t213 () (and (not (= tptp.nil @t209)) @t188)) % 27.96/28.18 (define @t214 () (not (tptp.ssList @t209))) % 27.96/28.18 (define @t215 () (or @t214 @t213 @t212 @t211 @t210 @t208 @t207 @t206 @t205)) % 27.96/28.18 (define @t216 () (@list @t203 @t202 @t201)) % 27.96/28.18 (define @t217 () (or @t192 @t191 (forall @t216 @t215))) % 27.96/28.18 (define @t218 () (not (= @t209 @t209))) % 27.96/28.18 (define @t219 () (not (= @t209 tptp.nil))) % 27.96/28.18 (define @t220 () (and @t219 @t188)) % 27.96/28.18 (define @t221 () (or @t214 @t220 @t212 @t211 @t210 @t208 @t207 @t206 @t218 @t205)) % 27.96/28.18 (define @t222 () (not (= @t1 @t209))) % 27.96/28.18 (define @t223 () (tptp.memberP @t1 @t203)) % 27.96/28.18 (define @t224 () (not (= @t1 tptp.nil))) % 27.96/28.18 (define @t225 () (and @t224 @t188)) % 27.96/28.18 (define @t226 () (not @t21)) % 27.96/28.18 (define @t227 () (or @t222 @t226 @t225 @t212 @t211 @t223 @t208 @t207 @t206 @t222 @t205)) % 27.96/28.18 (define @t228 () (or @t226 @t225 @t212 @t211 @t223 @t208 @t207 @t206 @t222 @t205)) % 27.96/28.18 (define @t229 () (forall @t7 @t228)) % 27.96/28.18 (define @t230 () (forall @t216 @t229)) % 27.96/28.18 (define @t231 () (forall (@list @t203 @t202 @t201 @t1) @t228)) % 27.96/28.18 (define @t232 () (@list @t1 @t203 @t202 @t201)) % 27.96/28.18 (define @t233 () (or @t208 @t207 @t206 @t222 @t205)) % 27.96/28.18 (define @t234 () (or @t212 @t211 @t223)) % 27.96/28.18 (define @t235 () (or @t226 @t234 @t225 @t233)) % 27.96/28.18 (define @t236 () (forall @t232 @t235)) % 27.96/28.18 (define @t237 () (forall @t216 @t235)) % 27.96/28.18 (define @t238 () (forall (@list @t202 @t201) @t233)) % 27.96/28.18 (define @t239 () (@var "BOUND_VARIABLE_11279" $$unsorted)) % 27.96/28.18 (define @t240 () (@var "BOUND_VARIABLE_11277" $$unsorted)) % 27.96/28.18 (define @t241 () (@list @t240 @t239)) % 27.96/28.18 (define @t242 () (forall (@list @t203) @t234)) % 27.96/28.18 (define @t243 () (or @t226 @t242 @t225 @t238)) % 27.96/28.18 (define @t244 () (not (= @t155 @t239))) % 27.96/28.18 (define @t245 () (not (forall @t165 (or @t164 @t163 @t162 @t161 @t160 @t156 @t244)))) % 27.96/28.18 (define @t246 () (not (= @t1 (tptp.app (tptp.app @t240 @t2) @t239)))) % 27.96/28.18 (define @t247 () (not (tptp.ssList @t239))) % 27.96/28.18 (define @t248 () (not (= @t170 @t240))) % 27.96/28.18 (define @t249 () (not (forall @t180 (or @t179 @t178 @t177 @t176 @t175 @t171 @t248)))) % 27.96/28.18 (define @t250 () (not (tptp.ssList @t240))) % 27.96/28.18 (define @t251 () (or @t250 @t249 @t247 @t246 @t245)) % 27.96/28.18 (define @t252 () (@list @t240 @t239)) % 27.96/28.18 (define @t253 () (forall @t252 @t251)) % 27.96/28.18 (define @t254 () (not @t79)) % 27.96/28.18 (define @t255 () (or @t254 @t77 @t76)) % 27.96/28.18 (define @t256 () (forall @t80 @t255)) % 27.96/28.18 (define @t257 () (or @t226 @t256 @t225 @t253)) % 27.96/28.18 (define @t258 () (forall @t7 @t257)) % 27.96/28.18 (define @t259 () (or @t192 @t191 @t258)) % 27.96/28.18 (define @t260 () (or @t192 @t191 @t257)) % 27.96/28.18 (define @t261 () (or @t226 @t256 @t192 @t191 @t225 @t253)) % 27.96/28.18 (define @t262 () (or @t256 @t226 @t192 @t191 @t225 @t253)) % 27.96/28.18 (define @t263 () (or @t192 @t191 @t225 @t253)) % 27.96/28.18 (define @t264 () (or @t192 @t191 @t225 @t251)) % 27.96/28.18 (define @t265 () (or @t192 @t191 @t225 @t250 @t249 @t247 @t246 @t245)) % 27.96/28.18 (define @t266 () (not (= @t2 @t2))) % 27.96/28.18 (define @t267 () (or @t192 @t266 @t191 @t225 @t250 @t249 @t247 @t246 @t245)) % 27.96/28.18 (define @t268 () (not (= @t12 @t159))) % 27.96/28.18 (define @t269 () (not (forall @t165 (or @t164 @t163 @t162 @t161 @t268 @t156 @t244)))) % 27.96/28.18 (define @t270 () (not (= @t1 (tptp.app (tptp.app @t240 @t12) @t239)))) % 27.96/28.18 (define @t271 () (not (= @t12 @t174))) % 27.96/28.18 (define @t272 () (not (forall @t180 (or @t179 @t178 @t177 @t176 @t271 @t171 @t248)))) % 27.96/28.18 (define @t273 () (= @t12 tptp.nil)) % 27.96/28.18 (define @t274 () (and @t224 @t273)) % 27.96/28.18 (define @t275 () (not @t15)) % 27.96/28.18 (define @t276 () (or @t141 @t275 @t141 @t132 @t274 @t250 @t272 @t247 @t270 @t269)) % 27.96/28.18 (define @t277 () (or @t275 @t141 @t132 @t274 @t250 @t272 @t247 @t270 @t269)) % 27.96/28.18 (define @t278 () (forall @t16 @t277)) % 27.96/28.18 (define @t279 () (forall @t252 @t278)) % 27.96/28.18 (define @t280 () (forall (@list @t240 @t239 @t12) @t277)) % 27.96/28.18 (define @t281 () (@list @t12 @t240 @t239)) % 27.96/28.18 (define @t282 () (or @t250 @t272 @t247 @t270 @t269)) % 27.96/28.18 (define @t283 () (or @t275 @t141 @t132 @t274 @t282)) % 27.96/28.18 (define @t284 () (forall @t281 @t283)) % 27.96/28.18 (define @t285 () (forall @t252 @t283)) % 27.96/28.18 (define @t286 () (forall @t252 @t282)) % 27.96/28.18 (define @t287 () (@var "BOUND_VARIABLE_11224" $$unsorted)) % 27.96/28.18 (define @t288 () (@var "BOUND_VARIABLE_11222" $$unsorted)) % 27.96/28.18 (define @t289 () (@list @t288 @t287)) % 27.96/28.18 (define @t290 () (or @t275 @t141 @t132 @t274 @t286)) % 27.96/28.18 (define @t291 () (not (forall @t165 (or @t164 @t163 @t162 @t161 @t268 @t156 (not (= @t155 @t287)))))) % 27.96/28.18 (define @t292 () (tptp.app (tptp.app @t288 @t12) @t287)) % 27.96/28.18 (define @t293 () (not (= @t1 @t292))) % 27.96/28.18 (define @t294 () (not (tptp.ssList @t287))) % 27.96/28.18 (define @t295 () (not (forall @t180 (or @t179 @t178 @t177 @t176 @t271 @t171 (not (= @t170 @t288)))))) % 27.96/28.18 (define @t296 () (not (tptp.ssList @t288))) % 27.96/28.18 (define @t297 () (or @t296 @t295 @t294 @t293 @t291)) % 27.96/28.18 (define @t298 () (@list @t288 @t287)) % 27.96/28.18 (define @t299 () (forall @t298 @t297)) % 27.96/28.18 (define @t300 () (or @t275 @t141 @t132 @t274 @t299)) % 27.96/28.18 (define @t301 () (forall @t16 @t300)) % 27.96/28.18 (define @t302 () (or @t256 @t226 @t301)) % 27.96/28.18 (define @t303 () (or @t256 @t226 @t300)) % 27.96/28.18 (define @t304 () (or @t275 @t141 @t256 @t132 @t226 @t274 @t299)) % 27.96/28.18 (define @t305 () (or @t141 @t256 @t132 @t226 @t274 @t299)) % 27.96/28.18 (define @t306 () (or @t226 @t274 @t299)) % 27.96/28.18 (define @t307 () (or @t226 @t274 @t297)) % 27.96/28.18 (define @t308 () (or @t226 @t274 @t296 @t295 @t294 @t293 @t291)) % 27.96/28.18 (define @t309 () (not (= @t1 @t1))) % 27.96/28.18 (define @t310 () (or @t226 @t309 @t274 @t296 @t295 @t294 @t293 @t291)) % 27.96/28.18 (define @t311 () (not (= @t10 @t292))) % 27.96/28.18 (define @t312 () (and (not (= @t10 tptp.nil)) @t273)) % 27.96/28.18 (define @t313 () (not @t13)) % 27.96/28.18 (define @t314 () (or @t142 @t313 @t142 @t312 @t296 @t295 @t294 @t311 @t291)) % 27.96/28.18 (define @t315 () (or @t313 @t142 @t312 @t296 @t295 @t294 @t311 @t291)) % 27.96/28.18 (define @t316 () (forall @t14 @t315)) % 27.96/28.18 (define @t317 () (forall @t298 @t316)) % 27.96/28.18 (define @t318 () (forall (@list @t288 @t287 @t10) @t315)) % 27.96/28.18 (define @t319 () (@list @t10 @t288 @t287)) % 27.96/28.18 (define @t320 () (not (= @t288 @t170))) % 27.96/28.18 (define @t321 () (or @t179 @t178 @t177 @t176 @t271 @t171 @t320)) % 27.96/28.18 (define @t322 () (forall @t180 @t321)) % 27.96/28.18 (define @t323 () (not @t322)) % 27.96/28.18 (define @t324 () (or @t313 @t142 @t312 @t296 @t323 @t294 @t311 @t291)) % 27.96/28.18 (define @t325 () (or @t296 @t323 @t294 @t311 @t291)) % 27.96/28.18 (define @t326 () (or @t313 @t142 @t312 @t325)) % 27.96/28.18 (define @t327 () (forall @t319 @t326)) % 27.96/28.18 (define @t328 () (forall @t298 @t326)) % 27.96/28.18 (define @t329 () (forall @t298 @t325)) % 27.96/28.18 (define @t330 () (@var "BOUND_VARIABLE_11181" $$unsorted)) % 27.96/28.18 (define @t331 () (or @t313 @t142 @t312 @t329)) % 27.96/28.18 (define @t332 () (not (= @t10 (tptp.app @t133 @t330)))) % 27.96/28.18 (define @t333 () (not (tptp.ssList @t330))) % 27.96/28.18 (define @t334 () (not (= @t28 @t170))) % 27.96/28.18 (define @t335 () (or @t179 @t178 @t177 @t176 @t271 @t171 @t334)) % 27.96/28.18 (define @t336 () (not (forall @t180 @t335))) % 27.96/28.18 (define @t337 () (not @t32)) % 27.96/28.18 (define @t338 () (@list @t28 @t330)) % 27.96/28.18 (define @t339 () (forall @t338 (or @t337 @t336 @t333 @t332 (not (forall @t165 (or @t164 @t163 @t162 @t161 @t268 @t156 (not (= @t155 @t330)))))))) % 27.96/28.18 (define @t340 () (or @t313 @t142 @t312 @t339)) % 27.96/28.18 (define @t341 () (forall @t14 @t340)) % 27.96/28.18 (define @t342 () (or @t141 @t256 @t132 @t341)) % 27.96/28.18 (define @t343 () (or @t141 @t256 @t132 @t340)) % 27.96/28.18 (define @t344 () (or @t313 @t142 @t141 @t256 @t312 @t132 @t339)) % 27.96/28.18 (define @t345 () (or @t142 @t141 @t256 @t312 @t132 @t339)) % 27.96/28.18 (define @t346 () (not (= @t330 @t155))) % 27.96/28.18 (define @t347 () (or @t164 @t163 @t162 @t161 @t268 @t156 @t346)) % 27.96/28.18 (define @t348 () (forall @t165 @t347)) % 27.96/28.18 (define @t349 () (not @t348)) % 27.96/28.18 (define @t350 () (or @t337 @t336 @t333 @t332 @t349)) % 27.96/28.18 (define @t351 () (or @t333 @t332 @t349)) % 27.96/28.18 (define @t352 () (or @t337 @t336 @t351)) % 27.96/28.18 (define @t353 () (forall @t338 @t352)) % 27.96/28.18 (define @t354 () (@list @t330)) % 27.96/28.18 (define @t355 () (forall @t354 @t352)) % 27.96/28.18 (define @t356 () (forall @t354 @t351)) % 27.96/28.18 (define @t357 () (or @t337 @t336 @t356)) % 27.96/28.18 (define @t358 () (not (= @t27 @t155))) % 27.96/28.18 (define @t359 () (or @t164 @t163 @t162 @t161 @t268 @t156 @t358)) % 27.96/28.18 (define @t360 () (not (forall @t165 @t359))) % 27.96/28.18 (define @t361 () (not (= @t10 @t134))) % 27.96/28.18 (define @t362 () (not @t30)) % 27.96/28.18 (define @t363 () (or @t362 @t361 @t360)) % 27.96/28.18 (define @t364 () (forall @t31 @t363)) % 27.96/28.18 (define @t365 () (or @t337 @t336 @t364)) % 27.96/28.18 (define @t366 () (forall @t33 @t365)) % 27.96/28.18 (define @t367 () (or @t132 @t366)) % 27.96/28.18 (define @t368 () (or @t132 @t365)) % 27.96/28.18 (define @t369 () (or @t337 @t132 @t336 @t364)) % 27.96/28.18 (define @t370 () (or @t132 @t336 @t364)) % 27.96/28.18 (define @t371 () (or @t132 @t336 @t363)) % 27.96/28.18 (define @t372 () (or @t362 @t361 @t132 @t336 @t360)) % 27.96/28.18 (define @t373 () (or @t361 @t132 @t336 @t360)) % 27.96/28.18 (define @t374 () (or @t156 @t358)) % 27.96/28.18 (define @t375 () (or @t163 @t162 @t161 @t268)) % 27.96/28.18 (define @t376 () (or @t164 @t375 @t374)) % 27.96/28.18 (define @t377 () (forall @t165 @t376)) % 27.96/28.18 (define @t378 () (forall (@list @t157 @t158 @t154) @t376)) % 27.96/28.18 (define @t379 () (forall (@list @t154) @t374)) % 27.96/28.18 (define @t380 () (forall (@list @t157 @t158) @t375)) % 27.96/28.18 (define @t381 () (@var "BOUND_VARIABLE_11102" $$unsorted)) % 27.96/28.18 (define @t382 () (or @t164 @t380 @t379)) % 27.96/28.18 (define @t383 () (= @t27 @t98)) % 27.96/28.18 (define @t384 () (not @t383)) % 27.96/28.18 (define @t385 () (not @t99)) % 27.96/28.18 (define @t386 () (or @t385 @t384)) % 27.96/28.18 (define @t387 () (forall @t101 @t386)) % 27.96/28.18 (define @t388 () (not (= @t12 (tptp.app @t381 @t85)))) % 27.96/28.18 (define @t389 () (not (tptp.ssList @t381))) % 27.96/28.18 (define @t390 () (not @t84)) % 27.96/28.18 (define @t391 () (not @t92)) % 27.96/28.18 (define @t392 () (or @t391 @t390 @t389 @t388)) % 27.96/28.18 (define @t393 () (@list @t83 @t381)) % 27.96/28.18 (define @t394 () (forall @t393 @t392)) % 27.96/28.18 (define @t395 () (or @t164 @t394 @t387)) % 27.96/28.18 (define @t396 () (or @t394 @t387)) % 27.96/28.18 (define @t397 () (not @t396)) % 27.96/28.18 (define @t398 () (and @t103 @t397)) % 27.96/28.18 (define @t399 () (forall @t105 (not @t398))) % 27.96/28.18 (define @t400 () (not @t399)) % 27.96/28.18 (define @t401 () (or @t394 @t386)) % 27.96/28.18 (define @t402 () (or @t385 @t384 @t394)) % 27.96/28.18 (define @t403 () (not @t394)) % 27.96/28.18 (define @t404 () (not @t403)) % 27.96/28.18 (define @t405 () (or @t385 @t384 @t404)) % 27.96/28.18 (define @t406 () (and @t99 @t383 @t403)) % 27.96/28.18 (define @t407 () (forall @t101 (not @t406))) % 27.96/28.18 (define @t408 () (not @t407)) % 27.96/28.18 (define @t409 () (or @t389 @t388)) % 27.96/28.18 (define @t410 () (or @t391 @t390 @t409)) % 27.96/28.18 (define @t411 () (forall @t393 @t410)) % 27.96/28.18 (define @t412 () (@list @t381)) % 27.96/28.18 (define @t413 () (forall @t412 @t410)) % 27.96/28.18 (define @t414 () (forall @t412 @t409)) % 27.96/28.18 (define @t415 () (or @t391 @t390 @t414)) % 27.96/28.18 (define @t416 () (= @t12 @t87)) % 27.96/28.18 (define @t417 () (not @t416)) % 27.96/28.18 (define @t418 () (not @t88)) % 27.96/28.18 (define @t419 () (or @t418 @t417)) % 27.96/28.18 (define @t420 () (forall @t90 @t419)) % 27.96/28.18 (define @t421 () (or @t391 @t390 @t420)) % 27.96/28.18 (define @t422 () (or @t390 @t420)) % 27.96/28.18 (define @t423 () (not @t422)) % 27.96/28.18 (define @t424 () (and @t92 @t423)) % 27.96/28.18 (define @t425 () (forall @t94 (not @t424))) % 27.96/28.18 (define @t426 () (not @t425)) % 27.96/28.18 (define @t427 () (or @t390 @t419)) % 27.96/28.18 (define @t428 () (or @t418 @t417 @t390)) % 27.96/28.18 (define @t429 () (and @t88 @t416 @t84)) % 27.96/28.18 (define @t430 () (forall @t90 (not @t429))) % 27.96/28.18 (define @t431 () (not @t430)) % 27.96/28.18 (define @t432 () (or @t171 @t334)) % 27.96/28.18 (define @t433 () (or @t178 @t177 @t176 @t271)) % 27.96/28.18 (define @t434 () (or @t179 @t433 @t432)) % 27.96/28.18 (define @t435 () (forall @t180 @t434)) % 27.96/28.18 (define @t436 () (forall (@list @t173 @t172 @t169) @t434)) % 27.96/28.18 (define @t437 () (forall (@list @t169) @t432)) % 27.96/28.18 (define @t438 () (forall (@list @t173 @t172) @t433)) % 27.96/28.18 (define @t439 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 27.96/28.18 (define @t440 () (or @t179 @t438 @t437)) % 27.96/28.18 (define @t441 () (= @t28 @t123)) % 27.96/28.18 (define @t442 () (not @t441)) % 27.96/28.18 (define @t443 () (not @t124)) % 27.96/28.18 (define @t444 () (or @t443 @t442)) % 27.96/28.18 (define @t445 () (forall @t126 @t444)) % 27.96/28.18 (define @t446 () (not (= @t12 (tptp.app @t111 @t439)))) % 27.96/28.18 (define @t447 () (not (tptp.ssList @t439))) % 27.96/28.18 (define @t448 () (not @t109)) % 27.96/28.18 (define @t449 () (not @t117)) % 27.96/28.18 (define @t450 () (or @t449 @t448 @t447 @t446)) % 27.96/28.18 (define @t451 () (@list @t107 @t439)) % 27.96/28.18 (define @t452 () (forall @t451 @t450)) % 27.96/28.18 (define @t453 () (or @t179 @t452 @t445)) % 27.96/28.18 (define @t454 () (or @t452 @t445)) % 27.96/28.18 (define @t455 () (not @t454)) % 27.96/28.18 (define @t456 () (and @t128 @t455)) % 27.96/28.18 (define @t457 () (forall @t130 (not @t456))) % 27.96/28.18 (define @t458 () (not @t457)) % 27.96/28.18 (define @t459 () (or @t452 @t444)) % 27.96/28.18 (define @t460 () (or @t443 @t442 @t452)) % 27.96/28.18 (define @t461 () (not @t452)) % 27.96/28.18 (define @t462 () (not @t461)) % 27.96/28.18 (define @t463 () (or @t443 @t442 @t462)) % 27.96/28.18 (define @t464 () (and @t124 @t441 @t461)) % 27.96/28.18 (define @t465 () (forall @t126 (not @t464))) % 27.96/28.18 (define @t466 () (not @t465)) % 27.96/28.18 (define @t467 () (or @t447 @t446)) % 27.96/28.18 (define @t468 () (or @t449 @t448 @t467)) % 27.96/28.18 (define @t469 () (forall @t451 @t468)) % 27.96/28.18 (define @t470 () (@list @t439)) % 27.96/28.18 (define @t471 () (forall @t470 @t468)) % 27.96/28.18 (define @t472 () (forall @t470 @t467)) % 27.96/28.18 (define @t473 () (or @t449 @t448 @t472)) % 27.96/28.18 (define @t474 () (= @t12 @t112)) % 27.96/28.18 (define @t475 () (not @t474)) % 27.96/28.18 (define @t476 () (not @t113)) % 27.96/28.18 (define @t477 () (or @t476 @t475)) % 27.96/28.18 (define @t478 () (forall @t115 @t477)) % 27.96/28.18 (define @t479 () (or @t449 @t448 @t478)) % 27.96/28.18 (define @t480 () (or @t448 @t478)) % 27.96/28.18 (define @t481 () (not @t480)) % 27.96/28.18 (define @t482 () (and @t117 @t481)) % 27.96/28.18 (define @t483 () (forall @t119 (not @t482))) % 27.96/28.18 (define @t484 () (not @t483)) % 27.96/28.18 (define @t485 () (or @t448 @t477)) % 27.96/28.18 (define @t486 () (or @t476 @t475 @t448)) % 27.96/28.18 (define @t487 () (and @t113 @t474 @t109)) % 27.96/28.18 (define @t488 () (forall @t115 (not @t487))) % 27.96/28.18 (define @t489 () (not @t488)) % 27.96/28.18 (define @t490 () (forall @t196 @t193)) % 27.96/28.18 (define @t491 () (@quantifiers_skolemize @t490 3)) % 27.96/28.18 (define @t492 () (not (= @t155 @t491))) % 27.96/28.18 (define @t493 () (@quantifiers_skolemize @t490 0)) % 27.96/28.18 (define @t494 () (tptp.ssList @t491)) % 27.96/28.18 (define @t495 () (not @t494)) % 27.96/28.18 (define @t496 () (@quantifiers_skolemize @t490 2)) % 27.96/28.18 (define @t497 () (not (= @t170 @t496))) % 27.96/28.18 (define @t498 () (tptp.ssList @t496)) % 27.96/28.18 (define @t499 () (not @t498)) % 27.96/28.18 (define @t500 () (@quantifiers_skolemize @t490 1)) % 27.96/28.18 (define @t501 () (tptp.app @t496 @t493)) % 27.96/28.18 (define @t502 () (tptp.app @t501 @t491)) % 27.96/28.18 (define @t503 () (tptp.memberP @t502 @t500)) % 27.96/28.18 (define @t504 () (tptp.memberP @t493 @t500)) % 27.96/28.18 (define @t505 () (not @t504)) % 27.96/28.18 (define @t506 () (tptp.ssItem @t500)) % 27.96/28.18 (define @t507 () (not @t506)) % 27.96/28.18 (define @t508 () (not (= tptp.nil @t502))) % 27.96/28.18 (define @t509 () (not (tptp.ssList @t502))) % 27.96/28.18 (define @t510 () (not (tptp.strictorderedP @t493))) % 27.96/28.18 (define @t511 () (tptp.ssList @t493)) % 27.96/28.18 (define @t512 () (not @t511)) % 27.96/28.18 (define @t513 () (or @t512 @t510 @t509 (and @t508 (= tptp.nil @t493)) @t507 @t505 @t503 @t499 (not (forall @t180 (or @t179 @t178 @t177 @t176 (not (= @t174 @t493)) @t171 @t497))) @t495 (not (forall @t165 (or @t164 @t163 @t162 @t161 (not (= @t159 @t493)) @t156 @t492))))) % 27.96/28.18 (define @t514 () (not @t513)) % 27.96/28.18 (define @t515 () (not @t490)) % 27.96/28.18 (define @t516 () (not (= @t493 @t159))) % 27.96/28.18 (define @t517 () (or @t164 @t163 @t162 @t161 @t516 @t156 @t492)) % 27.96/28.18 (define @t518 () (forall @t165 @t517)) % 27.96/28.18 (define @t519 () (not @t518)) % 27.96/28.18 (define @t520 () (not (= @t493 @t174))) % 27.96/28.18 (define @t521 () (or @t179 @t178 @t177 @t176 @t520 @t171 @t497)) % 27.96/28.18 (define @t522 () (forall @t180 @t521)) % 27.96/28.18 (define @t523 () (not @t522)) % 27.96/28.18 (define @t524 () (and @t508 (= @t493 tptp.nil))) % 27.96/28.18 (define @t525 () (or @t512 @t510 @t509 @t524 @t507 @t505 @t503 @t499 @t523 @t495 @t519)) % 27.96/28.18 (define @t526 () (not @t525)) % 27.96/28.18 (define @t527 () (@list true)) % 27.96/28.18 (define @t528 () (@list @t513)) % 27.96/28.18 (define @t529 () (@var "BOUND_VARIABLE_9430" $$unsorted)) % 27.96/28.18 (define @t530 () (tptp.ssList (tptp.app @t2 @t529))) % 27.96/28.18 (define @t531 () (not (tptp.ssList @t529))) % 27.96/28.18 (define @t532 () (or @t531 @t530)) % 27.96/28.18 (define @t533 () (or @t192 @t532)) % 27.96/28.18 (define @t534 () (forall (@list @t2 @t529) @t533)) % 27.96/28.18 (define @t535 () (@list @t529)) % 27.96/28.18 (define @t536 () (forall @t535 @t533)) % 27.96/28.18 (define @t537 () (forall @t535 @t532)) % 27.96/28.18 (define @t538 () (or @t192 @t537)) % 27.96/28.18 (define @t539 () (forall @t7 (or @t226 @t46))) % 27.96/28.18 (define @t540 () (tptp.ssList @t501)) % 27.96/28.18 (define @t541 () (or @t499 @t512 @t540)) % 27.96/28.18 (define @t542 () (@var "BOUND_VARIABLE_9718" $$unsorted)) % 27.96/28.18 (define @t543 () (@var "BOUND_VARIABLE_9716" $$unsorted)) % 27.96/28.18 (define @t544 () (= (tptp.memberP (tptp.app @t543 @t542) @t2) (or (tptp.memberP @t543 @t2) (tptp.memberP @t542 @t2)))) % 27.96/28.18 (define @t545 () (not (tptp.ssList @t542))) % 27.96/28.18 (define @t546 () (not (tptp.ssList @t543))) % 27.96/28.18 (define @t547 () (not @t8)) % 27.96/28.18 (define @t548 () (or @t546 @t545 @t544)) % 27.96/28.18 (define @t549 () (or @t547 @t548)) % 27.96/28.18 (define @t550 () (forall (@list @t2 @t543 @t542) @t549)) % 27.96/28.18 (define @t551 () (@list @t543 @t542)) % 27.96/28.18 (define @t552 () (forall @t551 @t549)) % 27.96/28.18 (define @t553 () (forall @t551 @t548)) % 27.96/28.18 (define @t554 () (@var "BOUND_VARIABLE_9697" $$unsorted)) % 27.96/28.18 (define @t555 () (or @t547 @t553)) % 27.96/28.18 (define @t556 () (= (tptp.memberP (tptp.app @t1 @t554) @t2) (or @t59 (tptp.memberP @t554 @t2)))) % 27.96/28.18 (define @t557 () (not (tptp.ssList @t554))) % 27.96/28.18 (define @t558 () (or @t226 @t557 @t556)) % 27.96/28.18 (define @t559 () (@list @t1 @t554)) % 27.96/28.18 (define @t560 () (forall @t559 @t558)) % 27.96/28.18 (define @t561 () (or @t557 @t556)) % 27.96/28.18 (define @t562 () (or @t226 @t561)) % 27.96/28.18 (define @t563 () (forall @t559 @t562)) % 27.96/28.18 (define @t564 () (@list @t554)) % 27.96/28.18 (define @t565 () (forall @t564 @t562)) % 27.96/28.18 (define @t566 () (forall @t564 @t561)) % 27.96/28.18 (define @t567 () (or @t226 @t566)) % 27.96/28.18 (define @t568 () (forall @t16 (or @t275 @t60))) % 27.96/28.18 (define @t569 () (or (tptp.memberP @t496 @t500) @t504)) % 27.96/28.18 (define @t570 () (tptp.memberP @t501 @t500)) % 27.96/28.18 (define @t571 () (= @t570 @t569)) % 27.96/28.18 (define @t572 () (or @t507 @t499 @t512 @t571)) % 27.96/28.18 (define @t573 () (@list false)) % 27.96/28.18 (define @t574 () (or @t570 (tptp.memberP @t491 @t500))) % 27.96/28.18 (define @t575 () (= @t503 @t574)) % 27.96/28.18 (define @t576 () (not @t575)) % 27.96/28.18 (define @t577 () (not @t540)) % 27.96/28.18 (define @t578 () (or @t507 @t577 @t495 @t575)) % 27.96/28.18 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 27.96/28.18 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 27.96/28.18 (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))))))))))) % 27.96/28.18 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 27.96/28.18 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 27.96/28.18 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 27.96/28.18 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 27.96/28.18 (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))))))))))))))))) % 27.96/28.18 (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)))))))))))))))) % 27.96/28.18 (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))))))))))))))))) % 27.96/28.18 (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))))))))))))))) % 27.96/28.18 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 27.96/28.18 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t37)))))))))))))))) % 27.96/28.18 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t37))))))))))))) % 27.96/28.18 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 27.96/28.18 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 27.96/28.18 (assume @p17 (tptp.ssList tptp.nil)) % 27.96/28.18 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 27.96/28.18 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t39))))))))))) % 27.96/28.18 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 27.96/28.18 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 27.96/28.18 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 27.96/28.18 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 27.96/28.18 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 27.96/28.18 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 27.96/28.18 (assume @p26 @t49) % 27.96/28.18 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t40 @t2))))))))) % 27.96/28.18 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 27.96/28.18 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 27.96/28.18 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 27.96/28.18 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 27.96/28.18 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 27.96/28.18 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 27.96/28.18 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 27.96/28.18 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 27.96/28.18 (assume @p36 @t65) % 27.96/28.18 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 27.96/28.18 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 27.96/28.18 (assume @p39 (not (tptp.singletonP tptp.nil))) % 27.96/28.18 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 27.96/28.18 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 27.96/28.18 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 27.96/28.18 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 27.96/28.18 (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)))))))))))) % 27.96/28.18 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 27.96/28.18 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 27.96/28.18 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 27.96/28.18 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 27.96/28.18 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 27.96/28.18 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t66 @t1))))))))) % 27.96/28.18 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 27.96/28.18 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 27.96/28.18 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 27.96/28.18 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 27.96/28.18 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 27.96/28.18 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t66 @t10) @t1))))))))))) % 27.96/28.18 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 27.96/28.18 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 27.96/28.18 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t67)))) % 27.96/28.18 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 27.96/28.18 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t67)))) % 27.96/28.18 (assume @p62 (tptp.totalorderP tptp.nil)) % 27.96/28.18 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t67)))) % 27.96/28.18 (assume @p64 (tptp.strictorderP tptp.nil)) % 27.96/28.18 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t67)))) % 27.96/28.18 (assume @p66 (tptp.totalorderedP tptp.nil)) % 27.96/28.18 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t71) (or @t69 (and @t70 (tptp.totalorderedP @t1) (tptp.leq @t2 @t68))))))))) % 27.96/28.18 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t67)))) % 27.96/28.18 (assume @p69 (tptp.strictorderedP tptp.nil)) % 27.96/28.18 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t71) (or @t69 (and @t70 (tptp.strictorderedP @t1) (tptp.lt @t2 @t68))))))))) % 27.96/28.18 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t67)))) % 27.96/28.18 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 27.96/28.18 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t67)))) % 27.96/28.18 (assume @p74 (tptp.equalelemsP tptp.nil)) % 27.96/28.18 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 27.96/28.18 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 27.96/28.18 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t70 @t43 (= @t68 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 27.96/28.18 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 27.96/28.18 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t72)))))))) % 27.96/28.18 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t72)))))))) % 27.96/28.18 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 27.96/28.18 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 27.96/28.18 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t69 @t41))))))) % 27.96/28.18 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 27.96/28.18 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 27.96/28.18 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 27.96/28.18 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 27.96/28.18 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 27.96/28.18 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 27.96/28.18 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 27.96/28.18 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56)))))))) % 27.96/28.18 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 27.96/28.18 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 27.96/28.18 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 27.96/28.18 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 27.96/28.18 (assume @p96 @t152) % 27.96/28.18 (assume @p97 true) % 27.96/28.18 (step @p98 :rule aci_norm :args ((= @t195 @t193))) % 27.96/28.18 (step @p99 :rule cong :premises (@p98) :args (@t197)) % 27.96/28.18 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t199) @t197))) % 27.96/28.18 (step @p101 :rule alpha_equiv :args (@t200 (@list @t183 @t168 @t153) (@list @t203 @t202 @t201))) % 27.96/28.18 (step @p102 :rule refl :args (@t191)) % 27.96/28.18 (step @p103 :rule refl :args (@t192)) % 27.96/28.18 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t204)) % 27.96/28.18 (step @p105 :rule quant-miniscope-or :args ((= @t199 @t204))) % 27.96/28.18 (step @p106 :rule trans :premises (@p105 @p104)) % 27.96/28.18 (step @p107 :rule symm :premises (@p106)) % 27.96/28.18 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t217))) % 27.96/28.18 (step @p109 :rule trans :premises (@p108 @p100)) % 27.96/28.18 (step @p110 :rule trans :premises (@p109 @p99)) % 27.96/28.18 (step @p111 :rule aci_norm :args ((= (or @t192 @t217) @t217))) % 27.96/28.18 (step @p112 :rule bool-impl-elim :args (@t17 @t217)) % 27.96/28.18 (step @p113 :rule trans :premises (@p112 @p111)) % 27.96/28.18 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t217)))) % 27.96/28.18 (step @p115 :rule trans :premises (@p114 @p110)) % 27.96/28.18 (step @p116 :rule aci_norm :args ((= (or @t214 @t213 @t212 @t211 @t210 @t208 @t207 @t206 false @t205) @t215))) % 27.96/28.18 (step @p117 :rule refl :args (@t205)) % 27.96/28.18 (step @p118 :rule evaluate :args ((not true))) % 27.96/28.18 (step @p119 :rule eq-refl :args (@t209)) % 27.96/28.18 (step @p120 :rule cong :premises (@p119) :args (@t218)) % 27.96/28.18 (step @p121 :rule trans :premises (@p120 @p118)) % 27.96/28.18 (step @p122 :rule refl :args (@t206)) % 27.96/28.18 (step @p123 :rule refl :args (@t207)) % 27.96/28.18 (step @p124 :rule refl :args (@t208)) % 27.96/28.18 (step @p125 :rule refl :args (@t210)) % 27.96/28.18 (step @p126 :rule refl :args (@t211)) % 27.96/28.18 (step @p127 :rule refl :args (@t212)) % 27.96/28.18 (step @p128 :rule refl :args (@t188)) % 27.96/28.18 (step @p129 :rule eq-symm :args (@t209 tptp.nil)) % 27.96/28.18 (step @p130 :rule cong :premises (@p129) :args (@t219)) % 27.96/28.18 (step @p131 :rule nary_cong :premises (@p130 @p128) :args (@t220)) % 27.96/28.18 (step @p132 :rule refl :args (@t214)) % 27.96/28.18 (step @p133 :rule nary_cong :premises (@p132 @p131 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p117) :args (@t221)) % 27.96/28.18 (step @p134 :rule trans :premises (@p133 @p116)) % 27.96/28.18 (step @p135 :rule cong :premises (@p134) :args ((forall @t216 @t221))) % 27.96/28.18 (step @p136 :rule quant-var-elim-eq :args ((= (forall @t7 @t227) @t221))) % 27.96/28.18 (step @p137 :rule aci_norm :args ((= @t228 @t227))) % 27.96/28.18 (step @p138 :rule cong :premises (@p137) :args (@t229)) % 27.96/28.18 (step @p139 :rule trans :premises (@p138 @p136)) % 27.96/28.18 (step @p140 :rule cong :premises (@p139) :args (@t230)) % 27.96/28.18 (step @p141 :rule quant-merge-prenex :args ((= @t230 @t231))) % 27.96/28.18 (step @p142 :rule symm :premises (@p141)) % 27.96/28.18 (step @p143 :rule quant_var_reordering :args ((= (forall @t232 @t228) @t231))) % 27.96/28.18 (step @p144 :rule trans :premises (@p143 @p142 @p140)) % 27.96/28.18 (step @p145 :rule trans :premises (@p144 @p135)) % 27.96/28.18 (step @p146 :rule aci_norm :args ((= @t235 @t228))) % 27.96/28.18 (step @p147 :rule cong :premises (@p146) :args (@t236)) % 27.96/28.18 (step @p148 :rule trans :premises (@p147 @p145)) % 27.96/28.18 (step @p149 :rule quant-merge-prenex :args ((= (forall @t7 @t237) @t236))) % 27.96/28.18 (step @p150 :rule alpha_equiv :args (@t238 (@list @t202 @t201) @t241)) % 27.96/28.18 (step @p151 :rule refl :args (@t225)) % 27.96/28.18 (step @p152 :rule alpha_equiv :args (@t242 (@list @t203) (@list @t75))) % 27.96/28.18 (step @p153 :rule refl :args (@t226)) % 27.96/28.18 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151 @p150) :args (@t243)) % 27.96/28.18 (step @p155 :rule quant-miniscope-or :args ((= @t237 @t243))) % 27.96/28.18 (step @p156 :rule trans :premises (@p155 @p154)) % 27.96/28.18 (step @p157 :rule symm :premises (@p156)) % 27.96/28.18 (step @p158 :rule cong :premises (@p157) :args (@t258)) % 27.96/28.18 (step @p159 :rule trans :premises (@p158 @p149)) % 27.96/28.18 (step @p160 :rule trans :premises (@p159 @p148)) % 27.96/28.18 (step @p161 :rule refl :args (@t191)) % 27.96/28.18 (step @p162 :rule refl :args (@t192)) % 27.96/28.18 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args (@t259)) % 27.96/28.18 (step @p164 :rule quant-miniscope-or :args ((= (forall @t7 @t260) @t259))) % 27.96/28.18 (step @p165 :rule aci_norm :args ((= @t261 @t260))) % 27.96/28.18 (step @p166 :rule cong :premises (@p165) :args ((forall @t7 @t261))) % 27.96/28.18 (step @p167 :rule trans :premises (@p166 @p164)) % 27.96/28.18 (step @p168 :rule trans :premises (@p167 @p163)) % 27.96/28.18 (step @p169 :rule aci_norm :args ((= (or @t226 @t262) @t261))) % 27.96/28.18 (step @p170 :rule bool-impl-elim :args (@t21 @t262)) % 27.96/28.18 (step @p171 :rule trans :premises (@p170 @p169)) % 27.96/28.18 (step @p172 :rule cong :premises (@p171) :args ((forall @t7 (=> @t21 @t262)))) % 27.96/28.18 (step @p173 :rule trans :premises (@p172 @p168)) % 27.96/28.18 (step @p174 :rule aci_norm :args ((= (or @t256 @t226 @t263) @t262))) % 27.96/28.18 (step @p175 :rule quant-miniscope-or :args ((= (forall @t252 @t264) @t263))) % 27.96/28.18 (step @p176 :rule aci_norm :args ((= @t265 @t264))) % 27.96/28.18 (step @p177 :rule cong :premises (@p176) :args ((forall @t252 @t265))) % 27.96/28.18 (step @p178 :rule trans :premises (@p177 @p175)) % 27.96/28.18 (step @p179 :rule aci_norm :args ((= (or @t192 false @t191 @t225 @t250 @t249 @t247 @t246 @t245) @t265))) % 27.96/28.18 (step @p180 :rule refl :args (@t245)) % 27.96/28.18 (step @p181 :rule refl :args (@t246)) % 27.96/28.18 (step @p182 :rule refl :args (@t247)) % 27.96/28.18 (step @p183 :rule refl :args (@t249)) % 27.96/28.18 (step @p184 :rule refl :args (@t250)) % 27.96/28.18 (step @p185 :rule refl :args (@t225)) % 27.96/28.18 (step @p186 :rule eq-refl :args (@t2)) % 27.96/28.18 (step @p187 :rule cong :premises (@p186) :args (@t266)) % 27.96/28.18 (step @p188 :rule trans :premises (@p187 @p118)) % 27.96/28.18 (step @p189 :rule nary_cong :premises (@p162 @p188 @p161 @p185 @p184 @p183 @p182 @p181 @p180) :args (@t267)) % 27.96/28.18 (step @p190 :rule trans :premises (@p189 @p179)) % 27.96/28.18 (step @p191 :rule cong :premises (@p190) :args ((forall @t252 @t267))) % 27.96/28.18 (step @p192 :rule trans :premises (@p191 @p178)) % 27.96/28.18 (step @p193 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t72) @t275 @t141 @t132 @t274 @t250 @t272 @t247 @t270 @t269)) @t267))) % 27.96/28.18 (step @p194 :rule refl :args (@t269)) % 27.96/28.18 (step @p195 :rule refl :args (@t270)) % 27.96/28.18 (step @p196 :rule refl :args (@t247)) % 27.96/28.18 (step @p197 :rule refl :args (@t272)) % 27.96/28.18 (step @p198 :rule refl :args (@t250)) % 27.96/28.18 (step @p199 :rule refl :args (@t274)) % 27.96/28.18 (step @p200 :rule refl :args (@t132)) % 27.96/28.18 (step @p201 :rule refl :args (@t141)) % 27.96/28.18 (step @p202 :rule refl :args (@t275)) % 27.96/28.18 (step @p203 :rule eq-symm :args (@t2 @t12)) % 27.96/28.18 (step @p204 :rule cong :premises (@p203) :args (@t141)) % 27.96/28.18 (step @p205 :rule nary_cong :premises (@p204 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194) :args (@t276)) % 27.96/28.18 (step @p206 :rule aci_norm :args ((= @t277 @t276))) % 27.96/28.18 (step @p207 :rule trans :premises (@p206 @p205)) % 27.96/28.18 (step @p208 :rule cong :premises (@p207) :args (@t278)) % 27.96/28.18 (step @p209 :rule trans :premises (@p208 @p193)) % 27.96/28.18 (step @p210 :rule cong :premises (@p209) :args (@t279)) % 27.96/28.18 (step @p211 :rule quant-merge-prenex :args ((= @t279 @t280))) % 27.96/28.18 (step @p212 :rule symm :premises (@p211)) % 27.96/28.18 (step @p213 :rule quant_var_reordering :args ((= (forall @t281 @t277) @t280))) % 27.96/28.18 (step @p214 :rule trans :premises (@p213 @p212 @p210)) % 27.96/28.18 (step @p215 :rule trans :premises (@p214 @p192)) % 27.96/28.18 (step @p216 :rule aci_norm :args ((= @t283 @t277))) % 27.96/28.18 (step @p217 :rule cong :premises (@p216) :args (@t284)) % 27.96/28.18 (step @p218 :rule trans :premises (@p217 @p215)) % 27.96/28.18 (step @p219 :rule quant-merge-prenex :args ((= (forall @t16 @t285) @t284))) % 27.96/28.18 (step @p220 :rule alpha_equiv :args (@t286 @t241 @t289)) % 27.96/28.18 (step @p221 :rule nary_cong :premises (@p202 @p201 @p200 @p199 @p220) :args (@t290)) % 27.96/28.18 (step @p222 :rule quant-miniscope-or :args ((= @t285 @t290))) % 27.96/28.18 (step @p223 :rule trans :premises (@p222 @p221)) % 27.96/28.18 (step @p224 :rule symm :premises (@p223)) % 27.96/28.18 (step @p225 :rule cong :premises (@p224) :args (@t301)) % 27.96/28.18 (step @p226 :rule trans :premises (@p225 @p219)) % 27.96/28.18 (step @p227 :rule trans :premises (@p226 @p218)) % 27.96/28.18 (step @p228 :rule refl :args (@t226)) % 27.96/28.18 (step @p229 :rule refl :args (@t256)) % 27.96/28.18 (step @p230 :rule nary_cong :premises (@p229 @p228 @p227) :args (@t302)) % 27.96/28.18 (step @p231 :rule trans :premises (@p230 @p174)) % 27.96/28.18 (step @p232 :rule quant-miniscope-or :args ((= (forall @t16 @t303) @t302))) % 27.96/28.18 (step @p233 :rule aci_norm :args ((= @t304 @t303))) % 27.96/28.18 (step @p234 :rule cong :premises (@p233) :args ((forall @t16 @t304))) % 27.96/28.18 (step @p235 :rule trans :premises (@p234 @p232)) % 27.96/28.18 (step @p236 :rule trans :premises (@p235 @p231)) % 27.96/28.18 (step @p237 :rule aci_norm :args ((= (or @t275 @t305) @t304))) % 27.96/28.18 (step @p238 :rule bool-impl-elim :args (@t15 @t305)) % 27.96/28.18 (step @p239 :rule trans :premises (@p238 @p237)) % 27.96/28.18 (step @p240 :rule cong :premises (@p239) :args ((forall @t16 (=> @t15 @t305)))) % 27.96/28.18 (step @p241 :rule trans :premises (@p240 @p236)) % 27.96/28.18 (step @p242 :rule aci_norm :args ((= (or @t141 @t256 @t132 @t306) @t305))) % 27.96/28.18 (step @p243 :rule quant-miniscope-or :args ((= (forall @t298 @t307) @t306))) % 27.96/28.18 (step @p244 :rule aci_norm :args ((= @t308 @t307))) % 27.96/28.18 (step @p245 :rule cong :premises (@p244) :args ((forall @t298 @t308))) % 27.96/28.18 (step @p246 :rule trans :premises (@p245 @p243)) % 27.96/28.18 (step @p247 :rule aci_norm :args ((= (or @t226 false @t274 @t296 @t295 @t294 @t293 @t291) @t308))) % 27.96/28.18 (step @p248 :rule refl :args (@t291)) % 27.96/28.18 (step @p249 :rule refl :args (@t293)) % 27.96/28.18 (step @p250 :rule refl :args (@t294)) % 27.96/28.18 (step @p251 :rule refl :args (@t295)) % 27.96/28.18 (step @p252 :rule refl :args (@t296)) % 27.96/28.18 (step @p253 :rule refl :args (@t274)) % 27.96/28.18 (step @p254 :rule eq-refl :args (@t1)) % 27.96/28.18 (step @p255 :rule cong :premises (@p254) :args (@t309)) % 27.96/28.18 (step @p256 :rule trans :premises (@p255 @p118)) % 27.96/28.18 (step @p257 :rule nary_cong :premises (@p228 @p256 @p253 @p252 @p251 @p250 @p249 @p248) :args (@t310)) % 27.96/28.18 (step @p258 :rule trans :premises (@p257 @p247)) % 27.96/28.18 (step @p259 :rule cong :premises (@p258) :args ((forall @t298 @t310))) % 27.96/28.18 (step @p260 :rule trans :premises (@p259 @p246)) % 27.96/28.18 (step @p261 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t313 @t142 @t312 @t296 @t295 @t294 @t311 @t291)) @t310))) % 27.96/28.18 (step @p262 :rule refl :args (@t291)) % 27.96/28.18 (step @p263 :rule refl :args (@t311)) % 27.96/28.18 (step @p264 :rule refl :args (@t294)) % 27.96/28.18 (step @p265 :rule refl :args (@t295)) % 27.96/28.18 (step @p266 :rule refl :args (@t296)) % 27.96/28.18 (step @p267 :rule refl :args (@t312)) % 27.96/28.18 (step @p268 :rule refl :args (@t142)) % 27.96/28.18 (step @p269 :rule refl :args (@t313)) % 27.96/28.18 (step @p270 :rule eq-symm :args (@t1 @t10)) % 27.96/28.18 (step @p271 :rule cong :premises (@p270) :args (@t142)) % 27.96/28.18 (step @p272 :rule nary_cong :premises (@p271 @p269 @p268 @p267 @p266 @p265 @p264 @p263 @p262) :args (@t314)) % 27.96/28.18 (step @p273 :rule aci_norm :args ((= @t315 @t314))) % 27.96/28.18 (step @p274 :rule trans :premises (@p273 @p272)) % 27.96/28.18 (step @p275 :rule cong :premises (@p274) :args (@t316)) % 27.96/28.18 (step @p276 :rule trans :premises (@p275 @p261)) % 27.96/28.18 (step @p277 :rule cong :premises (@p276) :args (@t317)) % 27.96/28.18 (step @p278 :rule quant-merge-prenex :args ((= @t317 @t318))) % 27.96/28.18 (step @p279 :rule symm :premises (@p278)) % 27.96/28.18 (step @p280 :rule quant_var_reordering :args ((= (forall @t319 @t315) @t318))) % 27.96/28.18 (step @p281 :rule trans :premises (@p280 @p279 @p277)) % 27.96/28.18 (step @p282 :rule trans :premises (@p281 @p260)) % 27.96/28.18 (step @p283 :rule refl :args (@t311)) % 27.96/28.18 (step @p284 :rule eq-symm :args (@t288 @t170)) % 27.96/28.18 (step @p285 :rule cong :premises (@p284) :args (@t320)) % 27.96/28.18 (step @p286 :rule refl :args (@t171)) % 27.96/28.18 (step @p287 :rule refl :args (@t271)) % 27.96/28.18 (step @p288 :rule refl :args (@t176)) % 27.96/28.18 (step @p289 :rule refl :args (@t177)) % 27.96/28.18 (step @p290 :rule refl :args (@t178)) % 27.96/28.18 (step @p291 :rule refl :args (@t179)) % 27.96/28.18 (step @p292 :rule nary_cong :premises (@p291 @p290 @p289 @p288 @p287 @p286 @p285) :args (@t321)) % 27.96/28.18 (step @p293 :rule cong :premises (@p292) :args (@t322)) % 27.96/28.18 (step @p294 :rule cong :premises (@p293) :args (@t323)) % 27.96/28.18 (step @p295 :rule refl :args (@t312)) % 27.96/28.18 (step @p296 :rule refl :args (@t142)) % 27.96/28.18 (step @p297 :rule refl :args (@t313)) % 27.96/28.18 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295 @p252 @p294 @p250 @p283 @p248) :args (@t324)) % 27.96/28.18 (step @p299 :rule aci_norm :args ((= @t326 @t324))) % 27.96/28.18 (step @p300 :rule trans :premises (@p299 @p298)) % 27.96/28.18 (step @p301 :rule cong :premises (@p300) :args (@t327)) % 27.96/28.18 (step @p302 :rule trans :premises (@p301 @p282)) % 27.96/28.18 (step @p303 :rule quant-merge-prenex :args ((= (forall @t14 @t328) @t327))) % 27.96/28.18 (step @p304 :rule alpha_equiv :args (@t329 @t289 (@list @t28 @t330))) % 27.96/28.18 (step @p305 :rule nary_cong :premises (@p269 @p268 @p267 @p304) :args (@t331)) % 27.96/28.18 (step @p306 :rule quant-miniscope-or :args ((= @t328 @t331))) % 27.96/28.18 (step @p307 :rule trans :premises (@p306 @p305)) % 27.96/28.18 (step @p308 :rule symm :premises (@p307)) % 27.96/28.18 (step @p309 :rule cong :premises (@p308) :args (@t341)) % 27.96/28.18 (step @p310 :rule trans :premises (@p309 @p303)) % 27.96/28.18 (step @p311 :rule trans :premises (@p310 @p302)) % 27.96/28.18 (step @p312 :rule refl :args (@t132)) % 27.96/28.18 (step @p313 :rule refl :args (@t141)) % 27.96/28.18 (step @p314 :rule nary_cong :premises (@p313 @p229 @p312 @p311) :args (@t342)) % 27.96/28.18 (step @p315 :rule trans :premises (@p314 @p242)) % 27.96/28.18 (step @p316 :rule quant-miniscope-or :args ((= (forall @t14 @t343) @t342))) % 27.96/28.18 (step @p317 :rule aci_norm :args ((= @t344 @t343))) % 27.96/28.18 (step @p318 :rule cong :premises (@p317) :args ((forall @t14 @t344))) % 27.96/28.18 (step @p319 :rule trans :premises (@p318 @p316)) % 27.96/28.18 (step @p320 :rule trans :premises (@p319 @p315)) % 27.96/28.18 (step @p321 :rule aci_norm :args ((= (or @t313 @t345) @t344))) % 27.96/28.18 (step @p322 :rule bool-impl-elim :args (@t13 @t345)) % 27.96/28.18 (step @p323 :rule trans :premises (@p322 @p321)) % 27.96/28.18 (step @p324 :rule cong :premises (@p323) :args ((forall @t14 (=> @t13 @t345)))) % 27.96/28.18 (step @p325 :rule trans :premises (@p324 @p320)) % 27.96/28.18 (step @p326 :rule aci_norm :args ((= (or @t142 @t141 (or @t132 @t339) @t256 @t312) @t345))) % 27.96/28.18 (step @p327 :rule eq-symm :args (tptp.nil @t12)) % 27.96/28.18 (step @p328 :rule eq-symm :args (tptp.nil @t10)) % 27.96/28.18 (step @p329 :rule cong :premises (@p328) :args (@t73)) % 27.96/28.18 (step @p330 :rule nary_cong :premises (@p329 @p327) :args (@t74)) % 27.96/28.18 (step @p331 :rule aci_norm :args ((= (or @t254 @t78) @t255))) % 27.96/28.18 (step @p332 :rule bool-impl-elim :args (@t79 @t78)) % 27.96/28.18 (step @p333 :rule trans :premises (@p332 @p331)) % 27.96/28.18 (step @p334 :rule cong :premises (@p333) :args (@t81)) % 27.96/28.18 (step @p335 :rule eq-symm :args (@t330 @t155)) % 27.96/28.18 (step @p336 :rule cong :premises (@p335) :args (@t346)) % 27.96/28.18 (step @p337 :rule refl :args (@t156)) % 27.96/28.18 (step @p338 :rule refl :args (@t268)) % 27.96/28.18 (step @p339 :rule refl :args (@t161)) % 27.96/28.18 (step @p340 :rule refl :args (@t162)) % 27.96/28.18 (step @p341 :rule refl :args (@t163)) % 27.96/28.18 (step @p342 :rule refl :args (@t164)) % 27.96/28.18 (step @p343 :rule nary_cong :premises (@p342 @p341 @p340 @p339 @p338 @p337 @p336) :args (@t347)) % 27.96/28.18 (step @p344 :rule cong :premises (@p343) :args (@t348)) % 27.96/28.18 (step @p345 :rule cong :premises (@p344) :args (@t349)) % 27.96/28.18 (step @p346 :rule refl :args (@t332)) % 27.96/28.18 (step @p347 :rule refl :args (@t333)) % 27.96/28.18 (step @p348 :rule refl :args (@t336)) % 27.96/28.18 (step @p349 :rule refl :args (@t337)) % 27.96/28.18 (step @p350 :rule nary_cong :premises (@p349 @p348 @p347 @p346 @p345) :args (@t350)) % 27.96/28.18 (step @p351 :rule aci_norm :args ((= @t352 @t350))) % 27.96/28.18 (step @p352 :rule trans :premises (@p351 @p350)) % 27.96/28.18 (step @p353 :rule cong :premises (@p352) :args (@t353)) % 27.96/28.18 (step @p354 :rule quant-merge-prenex :args ((= (forall @t33 @t355) @t353))) % 27.96/28.18 (step @p355 :rule alpha_equiv :args (@t356 (@list @t330) (@list @t27))) % 27.96/28.18 (step @p356 :rule refl :args (@t336)) % 27.96/28.18 (step @p357 :rule refl :args (@t337)) % 27.96/28.18 (step @p358 :rule nary_cong :premises (@p357 @p356 @p355) :args (@t357)) % 27.96/28.18 (step @p359 :rule quant-miniscope-or :args ((= @t355 @t357))) % 27.96/28.18 (step @p360 :rule trans :premises (@p359 @p358)) % 27.96/28.18 (step @p361 :rule symm :premises (@p360)) % 27.96/28.18 (step @p362 :rule cong :premises (@p361) :args (@t366)) % 27.96/28.18 (step @p363 :rule trans :premises (@p362 @p354)) % 27.96/28.18 (step @p364 :rule trans :premises (@p363 @p353)) % 27.96/28.18 (step @p365 :rule nary_cong :premises (@p312 @p364) :args (@t367)) % 27.96/28.18 (step @p366 :rule quant-miniscope-or :args ((= (forall @t33 @t368) @t367))) % 27.96/28.18 (step @p367 :rule aci_norm :args ((= @t369 @t368))) % 27.96/28.18 (step @p368 :rule cong :premises (@p367) :args ((forall @t33 @t369))) % 27.96/28.18 (step @p369 :rule trans :premises (@p368 @p366)) % 27.96/28.18 (step @p370 :rule trans :premises (@p369 @p365)) % 27.96/28.18 (step @p371 :rule aci_norm :args ((= (or @t337 @t370) @t369))) % 27.96/28.18 (step @p372 :rule bool-impl-elim :args (@t32 @t370)) % 27.96/28.18 (step @p373 :rule trans :premises (@p372 @p371)) % 27.96/28.18 (step @p374 :rule cong :premises (@p373) :args ((forall @t33 (=> @t32 @t370)))) % 27.96/28.18 (step @p375 :rule trans :premises (@p374 @p370)) % 27.96/28.18 (step @p376 :rule quant-miniscope-or :args ((= (forall @t31 @t371) @t370))) % 27.96/28.18 (step @p377 :rule aci_norm :args ((= @t372 @t371))) % 27.96/28.18 (step @p378 :rule cong :premises (@p377) :args ((forall @t31 @t372))) % 27.96/28.18 (step @p379 :rule trans :premises (@p378 @p376)) % 27.96/28.18 (step @p380 :rule aci_norm :args ((= (or @t362 @t373) @t372))) % 27.96/28.18 (step @p381 :rule bool-impl-elim :args (@t30 @t373)) % 27.96/28.18 (step @p382 :rule trans :premises (@p381 @p380)) % 27.96/28.18 (step @p383 :rule cong :premises (@p382) :args ((forall @t31 (=> @t30 @t373)))) % 27.96/28.18 (step @p384 :rule trans :premises (@p383 @p379)) % 27.96/28.18 (step @p385 :rule aci_norm :args ((= @t376 @t359))) % 27.96/28.18 (step @p386 :rule cong :premises (@p385) :args (@t377)) % 27.96/28.18 (step @p387 :rule quant-merge-prenex :args ((= (forall @t105 @t378) @t377))) % 27.96/28.18 (step @p388 :rule alpha_equiv :args (@t379 (@list @t154) (@list @t96))) % 27.96/28.18 (step @p389 :rule alpha_equiv :args (@t380 (@list @t157 @t158) (@list @t83 @t381))) % 27.96/28.18 (step @p390 :rule refl :args (@t164)) % 27.96/28.18 (step @p391 :rule nary_cong :premises (@p390 @p389 @p388) :args (@t382)) % 27.96/28.18 (step @p392 :rule quant-miniscope-or :args ((= @t378 @t382))) % 27.96/28.18 (step @p393 :rule trans :premises (@p392 @p391)) % 27.96/28.18 (step @p394 :rule symm :premises (@p393)) % 27.96/28.18 (step @p395 :rule cong :premises (@p394) :args ((forall @t105 @t395))) % 27.96/28.18 (step @p396 :rule trans :premises (@p395 @p387)) % 27.96/28.18 (step @p397 :rule trans :premises (@p396 @p386)) % 27.96/28.18 (step @p398 :rule aci_norm :args ((= (or @t164 @t396) @t395))) % 27.96/28.18 (step @p399 :rule bool-double-not-elim :args (@t396)) % 27.96/28.18 (step @p400 :rule nary_cong :premises (@p390 @p399) :args ((or @t164 (not @t397)))) % 27.96/28.18 (step @p401 :rule bool-and-de-morgan :args (@t103 @t397 true)) % 27.96/28.18 (step @p402 :rule trans :premises (@p401 @p400)) % 27.96/28.18 (step @p403 :rule trans :premises (@p402 @p398)) % 27.96/28.18 (step @p404 :rule cong :premises (@p403) :args (@t399)) % 27.96/28.18 (step @p405 :rule trans :premises (@p404 @p397)) % 27.96/28.18 (step @p406 :rule cong :premises (@p405) :args (@t400)) % 27.96/28.18 (step @p407 :rule exists-elim :args ((= (exists @t105 @t398) @t400))) % 27.96/28.18 (step @p408 :rule trans :premises (@p407 @p406)) % 27.96/28.18 (step @p409 :rule quant-miniscope-or :args ((= (forall @t101 @t401) @t396))) % 27.96/28.18 (step @p410 :rule aci_norm :args ((= @t402 @t401))) % 27.96/28.18 (step @p411 :rule cong :premises (@p410) :args ((forall @t101 @t402))) % 27.96/28.18 (step @p412 :rule trans :premises (@p411 @p409)) % 27.96/28.18 (step @p413 :rule bool-double-not-elim :args (@t394)) % 27.96/28.18 (step @p414 :rule refl :args (@t384)) % 27.96/28.18 (step @p415 :rule refl :args (@t385)) % 27.96/28.18 (step @p416 :rule nary_cong :premises (@p415 @p414 @p413) :args (@t405)) % 27.96/28.18 (step @p417 :rule aci_norm :args ((= (or @t385 (or @t384 @t404)) @t405))) % 27.96/28.18 (step @p418 :rule trans :premises (@p417 @p416)) % 27.96/28.18 (step @p419 :rule bool-and-de-morgan :args (@t383 @t403 true)) % 27.96/28.18 (step @p420 :rule nary_cong :premises (@p415 @p419) :args ((or @t385 (not (and @t383 @t403))))) % 27.96/28.18 (step @p421 :rule bool-and-de-morgan :args (@t99 @t383 (and @t403))) % 27.96/28.18 (step @p422 :rule trans :premises (@p421 @p420)) % 27.96/28.18 (step @p423 :rule trans :premises (@p422 @p418)) % 27.96/28.18 (step @p424 :rule cong :premises (@p423) :args (@t407)) % 27.96/28.18 (step @p425 :rule trans :premises (@p424 @p412)) % 27.96/28.18 (step @p426 :rule cong :premises (@p425) :args (@t408)) % 27.96/28.18 (step @p427 :rule exists-elim :args ((= (exists @t101 @t406) @t408))) % 27.96/28.18 (step @p428 :rule trans :premises (@p427 @p426)) % 27.96/28.18 (step @p429 :rule aci_norm :args ((= @t410 @t392))) % 27.96/28.18 (step @p430 :rule cong :premises (@p429) :args (@t411)) % 27.96/28.18 (step @p431 :rule quant-merge-prenex :args ((= (forall @t94 @t413) @t411))) % 27.96/28.18 (step @p432 :rule alpha_equiv :args (@t414 (@list @t381) (@list @t86))) % 27.96/28.18 (step @p433 :rule refl :args (@t390)) % 27.96/28.18 (step @p434 :rule refl :args (@t391)) % 27.96/28.18 (step @p435 :rule nary_cong :premises (@p434 @p433 @p432) :args (@t415)) % 27.96/28.18 (step @p436 :rule quant-miniscope-or :args ((= @t413 @t415))) % 27.96/28.18 (step @p437 :rule trans :premises (@p436 @p435)) % 27.96/28.18 (step @p438 :rule symm :premises (@p437)) % 27.96/28.18 (step @p439 :rule cong :premises (@p438) :args ((forall @t94 @t421))) % 27.96/28.18 (step @p440 :rule trans :premises (@p439 @p431)) % 27.96/28.18 (step @p441 :rule trans :premises (@p440 @p430)) % 27.96/28.18 (step @p442 :rule aci_norm :args ((= (or @t391 @t422) @t421))) % 27.96/28.18 (step @p443 :rule bool-double-not-elim :args (@t422)) % 27.96/28.18 (step @p444 :rule nary_cong :premises (@p434 @p443) :args ((or @t391 (not @t423)))) % 27.96/28.18 (step @p445 :rule bool-and-de-morgan :args (@t92 @t423 true)) % 27.96/28.18 (step @p446 :rule trans :premises (@p445 @p444)) % 27.96/28.18 (step @p447 :rule trans :premises (@p446 @p442)) % 27.96/28.18 (step @p448 :rule cong :premises (@p447) :args (@t425)) % 27.96/28.18 (step @p449 :rule trans :premises (@p448 @p441)) % 27.96/28.18 (step @p450 :rule cong :premises (@p449) :args (@t426)) % 27.96/28.18 (step @p451 :rule exists-elim :args ((= (exists @t94 @t424) @t426))) % 27.96/28.18 (step @p452 :rule trans :premises (@p451 @p450)) % 27.96/28.18 (step @p453 :rule quant-miniscope-or :args ((= (forall @t90 @t427) @t422))) % 27.96/28.18 (step @p454 :rule aci_norm :args ((= @t428 @t427))) % 27.96/28.18 (step @p455 :rule cong :premises (@p454) :args ((forall @t90 @t428))) % 27.96/28.18 (step @p456 :rule trans :premises (@p455 @p453)) % 27.96/28.18 (step @p457 :rule aci_norm :args ((= (or @t418 (or @t417 @t390)) @t428))) % 27.96/28.18 (step @p458 :rule bool-and-de-morgan :args (@t416 @t84 true)) % 27.96/28.18 (step @p459 :rule refl :args (@t418)) % 27.96/28.18 (step @p460 :rule nary_cong :premises (@p459 @p458) :args ((or @t418 (not (and @t416 @t84))))) % 27.96/28.18 (step @p461 :rule bool-and-de-morgan :args (@t88 @t416 (and @t84))) % 27.96/28.18 (step @p462 :rule trans :premises (@p461 @p460)) % 27.96/28.18 (step @p463 :rule trans :premises (@p462 @p457)) % 27.96/28.18 (step @p464 :rule cong :premises (@p463) :args (@t430)) % 27.96/28.18 (step @p465 :rule trans :premises (@p464 @p456)) % 27.96/28.18 (step @p466 :rule cong :premises (@p465) :args (@t431)) % 27.96/28.18 (step @p467 :rule exists-elim :args ((= (exists @t90 @t429) @t431))) % 27.96/28.18 (step @p468 :rule trans :premises (@p467 @p466)) % 27.96/28.18 (step @p469 :rule refl :args (@t84)) % 27.96/28.18 (step @p470 :rule eq-symm :args (@t87 @t12)) % 27.96/28.18 (step @p471 :rule refl :args (@t88)) % 27.96/28.18 (step @p472 :rule nary_cong :premises (@p471 @p470 @p469) :args (@t89)) % 27.96/28.18 (step @p473 :rule cong :premises (@p472) :args (@t91)) % 27.96/28.18 (step @p474 :rule trans :premises (@p473 @p468)) % 27.96/28.18 (step @p475 :rule refl :args (@t92)) % 27.96/28.18 (step @p476 :rule nary_cong :premises (@p475 @p474) :args (@t93)) % 27.96/28.18 (step @p477 :rule cong :premises (@p476) :args (@t95)) % 27.96/28.18 (step @p478 :rule trans :premises (@p477 @p452)) % 27.96/28.18 (step @p479 :rule eq-symm :args (@t98 @t27)) % 27.96/28.18 (step @p480 :rule refl :args (@t99)) % 27.96/28.18 (step @p481 :rule nary_cong :premises (@p480 @p479 @p478) :args (@t100)) % 27.96/28.18 (step @p482 :rule cong :premises (@p481) :args (@t102)) % 27.96/28.18 (step @p483 :rule trans :premises (@p482 @p428)) % 27.96/28.18 (step @p484 :rule refl :args (@t103)) % 27.96/28.18 (step @p485 :rule nary_cong :premises (@p484 @p483) :args (@t104)) % 27.96/28.18 (step @p486 :rule cong :premises (@p485) :args (@t106)) % 27.96/28.18 (step @p487 :rule trans :premises (@p486 @p408)) % 27.96/28.18 (step @p488 :rule aci_norm :args ((= @t434 @t335))) % 27.96/28.18 (step @p489 :rule cong :premises (@p488) :args (@t435)) % 27.96/28.18 (step @p490 :rule quant-merge-prenex :args ((= (forall @t130 @t436) @t435))) % 27.96/28.18 (step @p491 :rule alpha_equiv :args (@t437 (@list @t169) (@list @t122))) % 27.96/28.18 (step @p492 :rule alpha_equiv :args (@t438 (@list @t173 @t172) (@list @t107 @t439))) % 27.96/28.18 (step @p493 :rule refl :args (@t179)) % 27.96/28.18 (step @p494 :rule nary_cong :premises (@p493 @p492 @p491) :args (@t440)) % 27.96/28.18 (step @p495 :rule quant-miniscope-or :args ((= @t436 @t440))) % 27.96/28.18 (step @p496 :rule trans :premises (@p495 @p494)) % 27.96/28.18 (step @p497 :rule symm :premises (@p496)) % 27.96/28.18 (step @p498 :rule cong :premises (@p497) :args ((forall @t130 @t453))) % 27.96/28.18 (step @p499 :rule trans :premises (@p498 @p490)) % 27.96/28.18 (step @p500 :rule trans :premises (@p499 @p489)) % 27.96/28.18 (step @p501 :rule aci_norm :args ((= (or @t179 @t454) @t453))) % 27.96/28.18 (step @p502 :rule bool-double-not-elim :args (@t454)) % 27.96/28.18 (step @p503 :rule nary_cong :premises (@p493 @p502) :args ((or @t179 (not @t455)))) % 27.96/28.18 (step @p504 :rule bool-and-de-morgan :args (@t128 @t455 true)) % 27.96/28.18 (step @p505 :rule trans :premises (@p504 @p503)) % 27.96/28.18 (step @p506 :rule trans :premises (@p505 @p501)) % 27.96/28.18 (step @p507 :rule cong :premises (@p506) :args (@t457)) % 27.96/28.18 (step @p508 :rule trans :premises (@p507 @p500)) % 27.96/28.18 (step @p509 :rule cong :premises (@p508) :args (@t458)) % 27.96/28.18 (step @p510 :rule exists-elim :args ((= (exists @t130 @t456) @t458))) % 27.96/28.18 (step @p511 :rule trans :premises (@p510 @p509)) % 27.96/28.18 (step @p512 :rule quant-miniscope-or :args ((= (forall @t126 @t459) @t454))) % 27.96/28.18 (step @p513 :rule aci_norm :args ((= @t460 @t459))) % 27.96/28.18 (step @p514 :rule cong :premises (@p513) :args ((forall @t126 @t460))) % 27.96/28.18 (step @p515 :rule trans :premises (@p514 @p512)) % 27.96/28.18 (step @p516 :rule bool-double-not-elim :args (@t452)) % 27.96/28.18 (step @p517 :rule refl :args (@t442)) % 27.96/28.18 (step @p518 :rule refl :args (@t443)) % 27.96/28.18 (step @p519 :rule nary_cong :premises (@p518 @p517 @p516) :args (@t463)) % 27.96/28.18 (step @p520 :rule aci_norm :args ((= (or @t443 (or @t442 @t462)) @t463))) % 27.96/28.18 (step @p521 :rule trans :premises (@p520 @p519)) % 27.96/28.18 (step @p522 :rule bool-and-de-morgan :args (@t441 @t461 true)) % 27.96/28.18 (step @p523 :rule nary_cong :premises (@p518 @p522) :args ((or @t443 (not (and @t441 @t461))))) % 27.96/28.18 (step @p524 :rule bool-and-de-morgan :args (@t124 @t441 (and @t461))) % 27.96/28.18 (step @p525 :rule trans :premises (@p524 @p523)) % 27.96/28.18 (step @p526 :rule trans :premises (@p525 @p521)) % 27.96/28.18 (step @p527 :rule cong :premises (@p526) :args (@t465)) % 27.96/28.18 (step @p528 :rule trans :premises (@p527 @p515)) % 27.96/28.18 (step @p529 :rule cong :premises (@p528) :args (@t466)) % 27.96/28.18 (step @p530 :rule exists-elim :args ((= (exists @t126 @t464) @t466))) % 27.96/28.18 (step @p531 :rule trans :premises (@p530 @p529)) % 27.96/28.18 (step @p532 :rule aci_norm :args ((= @t468 @t450))) % 27.96/28.18 (step @p533 :rule cong :premises (@p532) :args (@t469)) % 27.96/28.18 (step @p534 :rule quant-merge-prenex :args ((= (forall @t119 @t471) @t469))) % 27.96/28.18 (step @p535 :rule alpha_equiv :args (@t472 (@list @t439) (@list @t110))) % 27.96/28.18 (step @p536 :rule refl :args (@t448)) % 27.96/28.18 (step @p537 :rule refl :args (@t449)) % 27.96/28.18 (step @p538 :rule nary_cong :premises (@p537 @p536 @p535) :args (@t473)) % 27.96/28.18 (step @p539 :rule quant-miniscope-or :args ((= @t471 @t473))) % 27.96/28.18 (step @p540 :rule trans :premises (@p539 @p538)) % 27.96/28.18 (step @p541 :rule symm :premises (@p540)) % 27.96/28.18 (step @p542 :rule cong :premises (@p541) :args ((forall @t119 @t479))) % 27.96/28.18 (step @p543 :rule trans :premises (@p542 @p534)) % 27.96/28.18 (step @p544 :rule trans :premises (@p543 @p533)) % 27.96/28.18 (step @p545 :rule aci_norm :args ((= (or @t449 @t480) @t479))) % 27.96/28.18 (step @p546 :rule bool-double-not-elim :args (@t480)) % 27.96/28.18 (step @p547 :rule nary_cong :premises (@p537 @p546) :args ((or @t449 (not @t481)))) % 27.96/28.18 (step @p548 :rule bool-and-de-morgan :args (@t117 @t481 true)) % 27.96/28.18 (step @p549 :rule trans :premises (@p548 @p547)) % 27.96/28.18 (step @p550 :rule trans :premises (@p549 @p545)) % 27.96/28.18 (step @p551 :rule cong :premises (@p550) :args (@t483)) % 27.96/28.18 (step @p552 :rule trans :premises (@p551 @p544)) % 27.96/28.18 (step @p553 :rule cong :premises (@p552) :args (@t484)) % 27.96/28.18 (step @p554 :rule exists-elim :args ((= (exists @t119 @t482) @t484))) % 27.96/28.18 (step @p555 :rule trans :premises (@p554 @p553)) % 27.96/28.18 (step @p556 :rule quant-miniscope-or :args ((= (forall @t115 @t485) @t480))) % 27.96/28.18 (step @p557 :rule aci_norm :args ((= @t486 @t485))) % 27.96/28.18 (step @p558 :rule cong :premises (@p557) :args ((forall @t115 @t486))) % 27.96/28.18 (step @p559 :rule trans :premises (@p558 @p556)) % 27.96/28.18 (step @p560 :rule aci_norm :args ((= (or @t476 (or @t475 @t448)) @t486))) % 27.96/28.18 (step @p561 :rule bool-and-de-morgan :args (@t474 @t109 true)) % 27.96/28.18 (step @p562 :rule refl :args (@t476)) % 27.96/28.18 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or @t476 (not (and @t474 @t109))))) % 27.96/28.18 (step @p564 :rule bool-and-de-morgan :args (@t113 @t474 (and @t109))) % 27.96/28.18 (step @p565 :rule trans :premises (@p564 @p563)) % 27.96/28.18 (step @p566 :rule trans :premises (@p565 @p560)) % 27.96/28.18 (step @p567 :rule cong :premises (@p566) :args (@t488)) % 27.96/28.18 (step @p568 :rule trans :premises (@p567 @p559)) % 27.96/28.18 (step @p569 :rule cong :premises (@p568) :args (@t489)) % 27.96/28.18 (step @p570 :rule exists-elim :args ((= (exists @t115 @t487) @t489))) % 27.96/28.18 (step @p571 :rule trans :premises (@p570 @p569)) % 27.96/28.18 (step @p572 :rule refl :args (@t109)) % 27.96/28.18 (step @p573 :rule eq-symm :args (@t112 @t12)) % 27.96/28.18 (step @p574 :rule refl :args (@t113)) % 27.96/28.18 (step @p575 :rule nary_cong :premises (@p574 @p573 @p572) :args (@t114)) % 27.96/28.18 (step @p576 :rule cong :premises (@p575) :args (@t116)) % 27.96/28.18 (step @p577 :rule trans :premises (@p576 @p571)) % 27.96/28.18 (step @p578 :rule refl :args (@t117)) % 27.96/28.18 (step @p579 :rule nary_cong :premises (@p578 @p577) :args (@t118)) % 27.96/28.18 (step @p580 :rule cong :premises (@p579) :args (@t120)) % 27.96/28.18 (step @p581 :rule trans :premises (@p580 @p555)) % 27.96/28.18 (step @p582 :rule eq-symm :args (@t123 @t28)) % 27.96/28.18 (step @p583 :rule refl :args (@t124)) % 27.96/28.18 (step @p584 :rule nary_cong :premises (@p583 @p582 @p581) :args (@t125)) % 27.96/28.18 (step @p585 :rule cong :premises (@p584) :args (@t127)) % 27.96/28.18 (step @p586 :rule trans :premises (@p585 @p531)) % 27.96/28.18 (step @p587 :rule refl :args (@t128)) % 27.96/28.18 (step @p588 :rule nary_cong :premises (@p587 @p586) :args (@t129)) % 27.96/28.18 (step @p589 :rule cong :premises (@p588) :args (@t131)) % 27.96/28.18 (step @p590 :rule trans :premises (@p589 @p511)) % 27.96/28.18 (step @p591 :rule eq-symm :args (@t134 @t10)) % 27.96/28.18 (step @p592 :rule cong :premises (@p591) :args (@t135)) % 27.96/28.18 (step @p593 :rule nary_cong :premises (@p592 @p312 @p590 @p487) :args (@t136)) % 27.96/28.18 (step @p594 :rule refl :args (@t30)) % 27.96/28.18 (step @p595 :rule cong :premises (@p594 @p593) :args (@t137)) % 27.96/28.18 (step @p596 :rule cong :premises (@p595) :args (@t138)) % 27.96/28.18 (step @p597 :rule trans :premises (@p596 @p384)) % 27.96/28.18 (step @p598 :rule refl :args (@t32)) % 27.96/28.18 (step @p599 :rule cong :premises (@p598 @p597) :args (@t139)) % 27.96/28.18 (step @p600 :rule cong :premises (@p599) :args (@t140)) % 27.96/28.18 (step @p601 :rule trans :premises (@p600 @p375)) % 27.96/28.18 (step @p602 :rule nary_cong :premises (@p296 @p313 @p601 @p334 @p330) :args (@t143)) % 27.96/28.18 (step @p603 :rule trans :premises (@p602 @p326)) % 27.96/28.18 (step @p604 :rule refl :args (@t13)) % 27.96/28.18 (step @p605 :rule cong :premises (@p604 @p603) :args (@t144)) % 27.96/28.18 (step @p606 :rule cong :premises (@p605) :args (@t145)) % 27.96/28.18 (step @p607 :rule trans :premises (@p606 @p325)) % 27.96/28.18 (step @p608 :rule refl :args (@t15)) % 27.96/28.18 (step @p609 :rule cong :premises (@p608 @p607) :args (@t146)) % 27.96/28.18 (step @p610 :rule cong :premises (@p609) :args (@t147)) % 27.96/28.18 (step @p611 :rule trans :premises (@p610 @p241)) % 27.96/28.18 (step @p612 :rule refl :args (@t21)) % 27.96/28.18 (step @p613 :rule cong :premises (@p612 @p611) :args (@t148)) % 27.96/28.18 (step @p614 :rule cong :premises (@p613) :args (@t149)) % 27.96/28.18 (step @p615 :rule trans :premises (@p614 @p173)) % 27.96/28.18 (step @p616 :rule refl :args (@t17)) % 27.96/28.18 (step @p617 :rule cong :premises (@p616 @p615) :args (@t150)) % 27.96/28.18 (step @p618 :rule cong :premises (@p617) :args (@t151)) % 27.96/28.18 (step @p619 :rule trans :premises (@p618 @p115)) % 27.96/28.18 (step @p620 :rule cong :premises (@p619) :args (@t152)) % 27.96/28.18 (step @p621 :rule eq_resolve :premises (@p96 @p620)) % 27.96/28.18 (step @p622 :rule refl :args (@t514)) % 27.96/28.18 (step @p623 :rule bool-double-not-elim :args (@t490)) % 27.96/28.18 (step @p624 :rule nary_cong :premises (@p623 @p622) :args ((or (not @t515) @t514))) % 27.96/28.18 (step @p625 :rule refl :args (@t492)) % 27.96/28.18 (step @p626 :rule eq-symm :args (@t493 @t159)) % 27.96/28.18 (step @p627 :rule cong :premises (@p626) :args (@t516)) % 27.96/28.18 (step @p628 :rule nary_cong :premises (@p342 @p341 @p340 @p339 @p627 @p337 @p625) :args (@t517)) % 27.96/28.18 (step @p629 :rule cong :premises (@p628) :args (@t518)) % 27.96/28.18 (step @p630 :rule cong :premises (@p629) :args (@t519)) % 27.96/28.18 (step @p631 :rule refl :args (@t495)) % 27.96/28.18 (step @p632 :rule refl :args (@t497)) % 27.96/28.18 (step @p633 :rule eq-symm :args (@t493 @t174)) % 27.96/28.18 (step @p634 :rule cong :premises (@p633) :args (@t520)) % 27.96/28.18 (step @p635 :rule nary_cong :premises (@p291 @p290 @p289 @p288 @p634 @p286 @p632) :args (@t521)) % 27.96/28.18 (step @p636 :rule cong :premises (@p635) :args (@t522)) % 27.96/28.18 (step @p637 :rule cong :premises (@p636) :args (@t523)) % 27.96/28.18 (step @p638 :rule refl :args (@t499)) % 27.96/28.18 (step @p639 :rule refl :args (@t503)) % 27.96/28.18 (step @p640 :rule refl :args (@t505)) % 27.96/28.18 (step @p641 :rule refl :args (@t507)) % 27.96/28.18 (step @p642 :rule eq-symm :args (@t493 tptp.nil)) % 27.96/28.18 (step @p643 :rule refl :args (@t508)) % 27.96/28.18 (step @p644 :rule nary_cong :premises (@p643 @p642) :args (@t524)) % 27.96/28.18 (step @p645 :rule refl :args (@t509)) % 27.96/28.18 (step @p646 :rule refl :args (@t510)) % 27.96/28.18 (step @p647 :rule refl :args (@t512)) % 27.96/28.18 (step @p648 :rule nary_cong :premises (@p647 @p646 @p645 @p644 @p641 @p640 @p639 @p638 @p637 @p631 @p630) :args (@t525)) % 27.96/28.18 (step @p649 :rule cong :premises (@p648) :args (@t526)) % 27.96/28.18 (step @p650 :rule refl :args (@t515)) % 27.96/28.18 (step @p651 :rule cong :premises (@p650 @p649) :args ((=> @t515 @t526))) % 27.96/28.18 (assume-push @p776 @t515) % 27.96/28.18 (step @p653 :rule skolemize :premises (@p621)) % 27.96/28.18 (step-pop @p777 :rule scope :premises (@p653)) % 27.96/28.18 (step @p654 :rule process_scope :premises (@p777) :args (@t526)) % 27.96/28.18 (step @p656 :rule eq_resolve :premises (@p654 @p651)) % 27.96/28.18 (step @p657 :rule implies_elim :premises (@p656)) % 27.96/28.18 (step @p658 :rule eq_resolve :premises (@p657 @p624)) % 27.96/28.18 (step @p659 :rule chain_m_resolution :premises (@p658 @p621) :args (@t514 @t527 (@list @t490))) % 27.96/28.18 (step @p660 :rule bool-double-not-elim :args (@t506)) % 27.96/28.18 (step @p661 :rule refl :args (@t513)) % 27.96/28.18 (step @p662 :rule nary_cong :premises (@p661 @p660) :args ((or @t513 (not @t507)))) % 27.96/28.18 (step @p663 :rule cnf_or_neg :args (@t513 4)) % 27.96/28.18 (step @p664 :rule eq_resolve :premises (@p663 @p662)) % 27.96/28.18 (step @p665 :rule reordering :premises (@p664) :args ((or @t506 @t513))) % 27.96/28.18 (step @p666 :rule chain_m_resolution :premises (@p665 @p659) :args (@t506 @t527 @t528)) % 27.96/28.18 (step @p667 :rule bool-double-not-elim :args (@t494)) % 27.96/28.18 (step @p668 :rule nary_cong :premises (@p661 @p667) :args ((or @t513 (not @t495)))) % 27.96/28.18 (step @p669 :rule cnf_or_neg :args (@t513 9)) % 27.96/28.18 (step @p670 :rule eq_resolve :premises (@p669 @p668)) % 27.96/28.18 (step @p671 :rule reordering :premises (@p670) :args ((or @t494 @t513))) % 27.96/28.18 (step @p672 :rule chain_m_resolution :premises (@p671 @p659) :args (@t494 @t527 @t528)) % 27.96/28.18 (step @p673 :rule aci_norm :args ((= @t533 (or @t192 @t531 @t530)))) % 27.96/28.18 (step @p674 :rule cong :premises (@p673) :args (@t534)) % 27.96/28.18 (step @p675 :rule quant-merge-prenex :args ((= (forall @t9 @t536) @t534))) % 27.96/28.18 (step @p676 :rule alpha_equiv :args (@t537 (@list @t529) (@list @t1))) % 27.96/28.18 (step @p677 :rule nary_cong :premises (@p103 @p676) :args (@t538)) % 27.96/28.18 (step @p678 :rule quant-miniscope-or :args ((= @t536 @t538))) % 27.96/28.18 (step @p679 :rule trans :premises (@p678 @p677)) % 27.96/28.18 (step @p680 :rule symm :premises (@p679)) % 27.96/28.18 (step @p681 :rule cong :premises (@p680) :args ((forall @t9 (or @t192 @t539)))) % 27.96/28.18 (step @p682 :rule trans :premises (@p681 @p675)) % 27.96/28.18 (step @p683 :rule trans :premises (@p682 @p674)) % 27.96/28.18 (step @p684 :rule bool-impl-elim :args (@t17 @t539)) % 27.96/28.18 (step @p685 :rule cong :premises (@p684) :args ((forall @t9 (=> @t17 @t539)))) % 27.96/28.18 (step @p686 :rule trans :premises (@p685 @p683)) % 27.96/28.18 (step @p687 :rule bool-impl-elim :args (@t21 @t46)) % 27.96/28.18 (step @p688 :rule cong :premises (@p687) :args (@t47)) % 27.96/28.18 (step @p689 :rule cong :premises (@p616 @p688) :args (@t48)) % 27.96/28.18 (step @p690 :rule cong :premises (@p689) :args (@t49)) % 27.96/28.18 (step @p691 :rule trans :premises (@p690 @p686)) % 27.96/28.18 (step @p692 :rule eq_resolve :premises (@p26 @p691)) % 27.96/28.18 (step @p693 :rule instantiate :premises (@p692) :args ((@list @t496 @t493))) % 27.96/28.18 (step @p694 :rule bool-double-not-elim :args (@t498)) % 27.96/28.18 (step @p695 :rule nary_cong :premises (@p661 @p694) :args ((or @t513 (not @t499)))) % 27.96/28.18 (step @p696 :rule cnf_or_neg :args (@t513 7)) % 27.96/28.18 (step @p697 :rule eq_resolve :premises (@p696 @p695)) % 27.96/28.18 (step @p698 :rule reordering :premises (@p697) :args ((or @t498 @t513))) % 27.96/28.18 (step @p699 :rule chain_m_resolution :premises (@p698 @p659) :args (@t498 @t527 @t528)) % 27.96/28.18 (step @p700 :rule bool-double-not-elim :args (@t511)) % 27.96/28.18 (step @p701 :rule nary_cong :premises (@p661 @p700) :args ((or @t513 (not @t512)))) % 27.96/28.18 (step @p702 :rule cnf_or_neg :args (@t513 0)) % 27.96/28.18 (step @p703 :rule eq_resolve :premises (@p702 @p701)) % 27.96/28.18 (step @p704 :rule reordering :premises (@p703) :args ((or @t511 @t513))) % 27.96/28.18 (step @p705 :rule chain_m_resolution :premises (@p704 @p659) :args (@t511 @t527 @t528)) % 27.96/28.18 (step @p706 :rule cnf_or_pos :args (@t541)) % 27.96/28.18 (step @p707 :rule reordering :premises (@p706) :args ((or @t512 @t499 @t540 (not @t541)))) % 27.96/28.18 (step @p708 :rule chain_m_resolution :premises (@p707 @p705 @p699 @p693) :args (@t540 (@list false false false) (@list @t511 @t498 @t541))) % 27.96/28.18 (step @p709 :rule aci_norm :args ((= @t549 (or @t547 @t546 @t545 @t544)))) % 27.96/28.18 (step @p710 :rule cong :premises (@p709) :args (@t550)) % 27.96/28.18 (step @p711 :rule quant-merge-prenex :args ((= (forall @t9 @t552) @t550))) % 27.96/28.18 (step @p712 :rule alpha_equiv :args (@t553 (@list @t543 @t542) (@list @t1 @t554))) % 27.96/28.18 (step @p713 :rule refl :args (@t547)) % 27.96/28.18 (step @p714 :rule nary_cong :premises (@p713 @p712) :args (@t555)) % 27.96/28.18 (step @p715 :rule quant-miniscope-or :args ((= @t552 @t555))) % 27.96/28.18 (step @p716 :rule trans :premises (@p715 @p714)) % 27.96/28.18 (step @p717 :rule symm :premises (@p716)) % 27.96/28.18 (step @p718 :rule cong :premises (@p717) :args ((forall @t9 (or @t547 @t560)))) % 27.96/28.18 (step @p719 :rule trans :premises (@p718 @p711)) % 27.96/28.18 (step @p720 :rule trans :premises (@p719 @p710)) % 27.96/28.18 (step @p721 :rule bool-impl-elim :args (@t8 @t560)) % 27.96/28.18 (step @p722 :rule cong :premises (@p721) :args ((forall @t9 (=> @t8 @t560)))) % 27.96/28.18 (step @p723 :rule trans :premises (@p722 @p720)) % 27.96/28.18 (step @p724 :rule aci_norm :args ((= @t562 @t558))) % 27.96/28.18 (step @p725 :rule cong :premises (@p724) :args (@t563)) % 27.96/28.18 (step @p726 :rule quant-merge-prenex :args ((= (forall @t7 @t565) @t563))) % 27.96/28.18 (step @p727 :rule alpha_equiv :args (@t566 (@list @t554) (@list @t12))) % 27.96/28.18 (step @p728 :rule nary_cong :premises (@p153 @p727) :args (@t567)) % 27.96/28.18 (step @p729 :rule quant-miniscope-or :args ((= @t565 @t567))) % 27.96/28.18 (step @p730 :rule trans :premises (@p729 @p728)) % 27.96/28.18 (step @p731 :rule symm :premises (@p730)) % 27.96/28.18 (step @p732 :rule cong :premises (@p731) :args ((forall @t7 (or @t226 @t568)))) % 27.96/28.18 (step @p733 :rule trans :premises (@p732 @p726)) % 27.96/28.18 (step @p734 :rule trans :premises (@p733 @p725)) % 27.96/28.18 (step @p735 :rule bool-impl-elim :args (@t21 @t568)) % 27.96/28.18 (step @p736 :rule cong :premises (@p735) :args ((forall @t7 (=> @t21 @t568)))) % 27.96/28.18 (step @p737 :rule trans :premises (@p736 @p734)) % 27.96/28.18 (step @p738 :rule bool-impl-elim :args (@t15 @t60)) % 27.96/28.18 (step @p739 :rule cong :premises (@p738) :args (@t61)) % 27.96/28.18 (step @p740 :rule cong :premises (@p612 @p739) :args (@t62)) % 27.96/28.18 (step @p741 :rule cong :premises (@p740) :args (@t63)) % 27.96/28.18 (step @p742 :rule trans :premises (@p741 @p737)) % 27.96/28.18 (step @p743 :rule refl :args (@t8)) % 27.96/28.18 (step @p744 :rule cong :premises (@p743 @p742) :args (@t64)) % 27.96/28.18 (step @p745 :rule cong :premises (@p744) :args (@t65)) % 27.96/28.18 (step @p746 :rule trans :premises (@p745 @p723)) % 27.96/28.18 (step @p747 :rule eq_resolve :premises (@p36 @p746)) % 27.96/28.18 (step @p748 :rule instantiate :premises (@p747) :args ((@list @t500 @t501 @t491))) % 27.96/28.18 (step @p749 :rule instantiate :premises (@p747) :args ((@list @t500 @t496 @t493))) % 27.96/28.18 (step @p750 :rule cnf_or_pos :args (@t572)) % 27.96/28.18 (step @p751 :rule reordering :premises (@p750) :args ((or @t512 @t507 @t499 @t571 (not @t572)))) % 27.96/28.18 (step @p752 :rule chain_m_resolution :premises (@p751 @p705 @p666 @p699 @p749) :args (@t571 (@list false false false false) (@list @t511 @t506 @t498 @t572))) % 27.96/28.18 (step @p753 :rule bool-double-not-elim :args (@t504)) % 27.96/28.18 (step @p754 :rule nary_cong :premises (@p661 @p753) :args ((or @t513 (not @t505)))) % 27.96/28.18 (step @p755 :rule cnf_or_neg :args (@t513 5)) % 27.96/28.18 (step @p756 :rule eq_resolve :premises (@p755 @p754)) % 27.96/28.18 (step @p757 :rule reordering :premises (@p756) :args ((or @t504 @t513))) % 27.96/28.18 (step @p758 :rule chain_m_resolution :premises (@p757 @p659) :args (@t504 @t527 @t528)) % 27.96/28.18 (step @p759 :rule cnf_or_neg :args (@t569 1)) % 27.96/28.18 (step @p760 :rule reordering :premises (@p759) :args ((or @t505 @t569))) % 27.96/28.18 (step @p761 :rule chain_m_resolution :premises (@p760 @p758) :args (@t569 @t573 (@list @t504))) % 27.96/28.18 (step @p762 :rule cnf_equiv_pos2 :args (@t571)) % 27.96/28.18 (step @p763 :rule reordering :premises (@p762) :args ((or @t570 (not @t569) (not @t571)))) % 27.96/28.18 (step @p764 :rule chain_m_resolution :premises (@p763 @p761 @p752) :args (@t570 (@list false false) (@list @t569 @t571))) % 27.96/28.18 (step @p765 :rule cnf_or_neg :args (@t574 0)) % 27.96/28.18 (step @p766 :rule reordering :premises (@p765) :args ((or (not @t570) @t574))) % 27.96/28.18 (step @p767 :rule chain_m_resolution :premises (@p766 @p764) :args (@t574 @t573 (@list @t570))) % 27.96/28.18 (step @p768 :rule cnf_or_neg :args (@t513 6)) % 27.96/28.18 (step @p769 :rule chain_m_resolution :premises (@p768 @p659) :args ((not @t503) @t527 @t528)) % 27.96/28.18 (step @p770 :rule cnf_equiv_pos2 :args (@t575)) % 27.96/28.18 (step @p771 :rule reordering :premises (@p770) :args ((or @t503 (not @t574) @t576))) % 27.96/28.18 (step @p772 :rule chain_m_resolution :premises (@p771 @p769 @p767) :args (@t576 (@list true false) (@list @t503 @t574))) % 27.96/28.18 (step @p773 :rule cnf_or_pos :args (@t578)) % 27.96/28.18 (step @p774 :rule reordering :premises (@p773) :args ((or @t507 @t495 @t577 @t575 (not @t578)))) % 27.96/28.18 (step @p775 false :rule chain_m_resolution :premises (@p774 @p772 @p748 @p708 @p672 @p666) :args (false (@list true false false false false) (@list @t575 @t578 @t540 @t494 @t506))) % 27.96/28.18 ) % 27.96/28.18 % SZS output end Proof % 27.96/28.18 % cvc5 exiting %------------------------------------------------------------------------------