%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC382+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 : n023.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 08:59:06 AM UTC 2026 % Result : Theorem 35.11s 35.37s % Output : Proof 35.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC382+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n023.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:45:28 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 35.11/35.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.11/35.37 --- Run --no-e-matching --full-saturate-quant at 6... % 35.11/35.37 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.11/35.37 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.11/35.37 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.11/35.37 % SZS status Theorem % 35.11/35.37 % SZS output start Proof % 35.11/35.37 ( % 35.11/35.37 (declare-sort $$unsorted 0) % 35.11/35.37 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 35.11/35.37 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 35.11/35.37 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.37 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.37 (declare-const tptp.nil $$unsorted) % 35.11/35.37 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.ssList (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 35.11/35.37 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 35.11/35.37 (define @t1 () (@var "V" $$unsorted)) % 35.11/35.37 (define @t2 () (@var "U" $$unsorted)) % 35.11/35.37 (define @t3 () (= @t2 @t1)) % 35.11/35.37 (define @t4 () (not @t3)) % 35.11/35.37 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 35.11/35.37 (define @t6 () (tptp.ssItem @t1)) % 35.11/35.37 (define @t7 () (@list @t1)) % 35.11/35.37 (define @t8 () (tptp.ssItem @t2)) % 35.11/35.37 (define @t9 () (@list @t2)) % 35.11/35.37 (define @t10 () (@var "X" $$unsorted)) % 35.11/35.37 (define @t11 () (tptp.cons @t1 @t10)) % 35.11/35.37 (define @t12 () (@var "W" $$unsorted)) % 35.11/35.37 (define @t13 () (tptp.ssList @t10)) % 35.11/35.37 (define @t14 () (@list @t10)) % 35.11/35.37 (define @t15 () (tptp.ssList @t12)) % 35.11/35.37 (define @t16 () (@list @t12)) % 35.11/35.37 (define @t17 () (tptp.ssList @t2)) % 35.11/35.37 (define @t18 () (tptp.cons @t1 tptp.nil)) % 35.11/35.37 (define @t19 () (and @t6 (= @t18 @t2))) % 35.11/35.37 (define @t20 () (exists @t7 @t19)) % 35.11/35.37 (define @t21 () (tptp.singletonP @t2)) % 35.11/35.37 (define @t22 () (= @t21 @t20)) % 35.11/35.37 (define @t23 () (=> @t17 @t22)) % 35.11/35.37 (define @t24 () (forall @t9 @t23)) % 35.11/35.37 (define @t25 () (tptp.app @t1 @t12)) % 35.11/35.37 (define @t26 () (tptp.frontsegP @t2 @t1)) % 35.11/35.37 (define @t27 () (tptp.ssList @t1)) % 35.11/35.37 (define @t28 () (tptp.app @t12 @t1)) % 35.11/35.37 (define @t29 () (tptp.rearsegP @t2 @t1)) % 35.11/35.37 (define @t30 () (tptp.app @t28 @t10)) % 35.11/35.37 (define @t31 () (and @t13 (= @t30 @t2))) % 35.11/35.37 (define @t32 () (exists @t14 @t31)) % 35.11/35.37 (define @t33 () (and @t15 @t32)) % 35.11/35.37 (define @t34 () (exists @t16 @t33)) % 35.11/35.37 (define @t35 () (tptp.segmentP @t2 @t1)) % 35.11/35.37 (define @t36 () (= @t35 @t34)) % 35.11/35.37 (define @t37 () (=> @t27 @t36)) % 35.11/35.37 (define @t38 () (forall @t7 @t37)) % 35.11/35.37 (define @t39 () (=> @t17 @t38)) % 35.11/35.37 (define @t40 () (forall @t9 @t39)) % 35.11/35.37 (define @t41 () (tptp.leq @t12 @t1)) % 35.11/35.37 (define @t42 () (tptp.leq @t1 @t12)) % 35.11/35.37 (define @t43 () (@var "Z" $$unsorted)) % 35.11/35.37 (define @t44 () (@var "Y" $$unsorted)) % 35.11/35.37 (define @t45 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t44)) (tptp.cons @t12 @t43)) @t2)) % 35.11/35.37 (define @t46 () (tptp.ssList @t43)) % 35.11/35.37 (define @t47 () (@list @t43)) % 35.11/35.37 (define @t48 () (tptp.ssList @t44)) % 35.11/35.37 (define @t49 () (@list @t44)) % 35.11/35.37 (define @t50 () (tptp.ssItem @t12)) % 35.11/35.37 (define @t51 () (tptp.lt @t1 @t12)) % 35.11/35.37 (define @t52 () (= @t1 @t12)) % 35.11/35.37 (define @t53 () (forall @t7 (=> @t27 @t5))) % 35.11/35.37 (define @t54 () (=> @t17 @t53)) % 35.11/35.37 (define @t55 () (forall @t9 @t54)) % 35.11/35.37 (define @t56 () (tptp.cons @t1 @t2)) % 35.11/35.37 (define @t57 () (tptp.ssList @t56)) % 35.11/35.37 (define @t58 () (forall @t7 (=> @t6 @t57))) % 35.11/35.37 (define @t59 () (=> @t17 @t58)) % 35.11/35.37 (define @t60 () (forall @t9 @t59)) % 35.11/35.37 (define @t61 () (tptp.ssList tptp.nil)) % 35.11/35.37 (define @t62 () (= @t1 @t2)) % 35.11/35.37 (define @t63 () (tptp.cons @t12 @t1)) % 35.11/35.37 (define @t64 () (and @t50 (= @t63 @t2))) % 35.11/35.37 (define @t65 () (exists @t16 @t64)) % 35.11/35.37 (define @t66 () (and @t27 @t65)) % 35.11/35.37 (define @t67 () (exists @t7 @t66)) % 35.11/35.37 (define @t68 () (= tptp.nil @t2)) % 35.11/35.37 (define @t69 () (or @t68 @t67)) % 35.11/35.37 (define @t70 () (=> @t17 @t69)) % 35.11/35.37 (define @t71 () (forall @t9 @t70)) % 35.11/35.37 (define @t72 () (tptp.hd @t2)) % 35.11/35.37 (define @t73 () (tptp.ssItem @t72)) % 35.11/35.37 (define @t74 () (not @t68)) % 35.11/35.37 (define @t75 () (=> @t74 @t73)) % 35.11/35.37 (define @t76 () (=> @t17 @t75)) % 35.11/35.37 (define @t77 () (forall @t9 @t76)) % 35.11/35.37 (define @t78 () (tptp.tl @t2)) % 35.11/35.37 (define @t79 () (tptp.tl @t56)) % 35.11/35.37 (define @t80 () (=> @t6 (= @t79 @t2))) % 35.11/35.37 (define @t81 () (forall @t7 @t80)) % 35.11/35.37 (define @t82 () (=> @t17 @t81)) % 35.11/35.37 (define @t83 () (forall @t9 @t82)) % 35.11/35.37 (define @t84 () (tptp.app @t2 @t1)) % 35.11/35.37 (define @t85 () (tptp.app @t1 @t2)) % 35.11/35.37 (define @t86 () (tptp.app tptp.nil @t2)) % 35.11/35.37 (define @t87 () (=> @t17 (= @t86 @t2))) % 35.11/35.37 (define @t88 () (forall @t9 @t87)) % 35.11/35.37 (define @t89 () (tptp.leq @t1 @t2)) % 35.11/35.37 (define @t90 () (tptp.leq @t2 @t1)) % 35.11/35.37 (define @t91 () (tptp.geq @t2 @t1)) % 35.11/35.37 (define @t92 () (tptp.lt @t1 @t2)) % 35.11/35.37 (define @t93 () (tptp.lt @t2 @t1)) % 35.11/35.37 (define @t94 () (tptp.lt @t2 @t12)) % 35.11/35.37 (define @t95 () (tptp.gt @t2 @t1)) % 35.11/35.37 (define @t96 () (tptp.memberP @t12 @t2)) % 35.11/35.37 (define @t97 () (tptp.app @t12 @t2)) % 35.11/35.37 (define @t98 () (tptp.segmentP @t1 @t2)) % 35.11/35.37 (define @t99 () (tptp.cons @t2 tptp.nil)) % 35.11/35.37 (define @t100 () (tptp.hd @t1)) % 35.11/35.37 (define @t101 () (= tptp.nil @t1)) % 35.11/35.37 (define @t102 () (not @t101)) % 35.11/35.37 (define @t103 () (tptp.cons @t2 @t1)) % 35.11/35.37 (define @t104 () (tptp.cons @t72 @t78)) % 35.11/35.37 (define @t105 () (=> @t74 (= @t104 @t2))) % 35.11/35.37 (define @t106 () (=> @t17 @t105)) % 35.11/35.37 (define @t107 () (forall @t9 @t106)) % 35.11/35.37 (define @t108 () (= @t12 @t2)) % 35.11/35.37 (define @t109 () (= @t56 (tptp.app @t18 @t2))) % 35.11/35.37 (define @t110 () (forall @t7 (=> @t6 @t109))) % 35.11/35.37 (define @t111 () (=> @t17 @t110)) % 35.11/35.37 (define @t112 () (forall @t9 @t111)) % 35.11/35.37 (define @t113 () (tptp.neq @t1 tptp.nil)) % 35.11/35.37 (define @t114 () (not @t113)) % 35.11/35.37 (define @t115 () (or @t114 (tptp.neq @t10 tptp.nil))) % 35.11/35.37 (define @t116 () (and @t21 @t98)) % 35.11/35.37 (define @t117 () (tptp.neq tptp.nil @t10)) % 35.11/35.37 (define @t118 () (tptp.hd @t10)) % 35.11/35.37 (define @t119 () (tptp.cons @t43 tptp.nil)) % 35.11/35.37 (define @t120 () (tptp.ssItem @t43)) % 35.11/35.37 (define @t121 () (and @t120 (= @t119 @t44) (= @t118 @t43) @t117)) % 35.11/35.37 (define @t122 () (exists @t47 @t121)) % 35.11/35.37 (define @t123 () (= @t12 @t44)) % 35.11/35.37 (define @t124 () (not @t123)) % 35.11/35.37 (define @t125 () (and @t48 @t124 @t122)) % 35.11/35.37 (define @t126 () (exists @t49 @t125)) % 35.11/35.37 (define @t127 () (or @t114 @t126 @t116)) % 35.11/35.37 (define @t128 () (and @t127 @t115)) % 35.11/35.37 (define @t129 () (not (= @t2 @t12))) % 35.11/35.37 (define @t130 () (not (= @t1 @t10))) % 35.11/35.37 (define @t131 () (or @t130 @t129 @t128)) % 35.11/35.37 (define @t132 () (=> @t13 @t131)) % 35.11/35.37 (define @t133 () (forall @t14 @t132)) % 35.11/35.37 (define @t134 () (=> @t15 @t133)) % 35.11/35.37 (define @t135 () (forall @t16 @t134)) % 35.11/35.37 (define @t136 () (=> @t27 @t135)) % 35.11/35.37 (define @t137 () (forall @t7 @t136)) % 35.11/35.37 (define @t138 () (=> @t17 @t137)) % 35.11/35.37 (define @t139 () (forall @t9 @t138)) % 35.11/35.37 (define @t140 () (not @t139)) % 35.11/35.37 (define @t141 () (= @t2 tptp.nil)) % 35.11/35.37 (define @t142 () (not @t17)) % 35.11/35.37 (define @t143 () (or @t142 @t141 @t73)) % 35.11/35.37 (define @t144 () (not @t141)) % 35.11/35.37 (define @t145 () (not @t144)) % 35.11/35.37 (define @t146 () (=> @t144 @t73)) % 35.11/35.37 (define @t147 () (@var "BOUND_VARIABLE_11040" $$unsorted)) % 35.11/35.37 (define @t148 () (tptp.hd @t147)) % 35.11/35.38 (define @t149 () (tptp.cons @t148 tptp.nil)) % 35.11/35.38 (define @t150 () (and (tptp.neq tptp.nil @t147) (tptp.ssItem @t148) (tptp.ssList @t149) (not (= @t2 @t149)))) % 35.11/35.38 (define @t151 () (and @t21 (tptp.segmentP @t147 @t2))) % 35.11/35.38 (define @t152 () (not (tptp.neq @t147 tptp.nil))) % 35.11/35.38 (define @t153 () (not (tptp.ssList @t147))) % 35.11/35.38 (define @t154 () (or @t142 @t153 @t152 @t151 @t150)) % 35.11/35.38 (define @t155 () (@list @t2 @t147)) % 35.11/35.38 (define @t156 () (forall @t155 @t154)) % 35.11/35.38 (define @t157 () (@quantifiers_skolemize @t156 1)) % 35.11/35.38 (define @t158 () (tptp.hd @t157)) % 35.11/35.38 (define @t159 () (tptp.ssItem @t158)) % 35.11/35.38 (define @t160 () (tptp.ssList @t157)) % 35.11/35.38 (define @t161 () (not @t160)) % 35.11/35.38 (define @t162 () (= @t157 tptp.nil)) % 35.11/35.38 (define @t163 () (or @t161 @t162 @t159)) % 35.11/35.38 (define @t164 () (forall @t9 @t143)) % 35.11/35.38 (define @t165 () (@list @t157)) % 35.11/35.38 (define @t166 () (= tptp.nil @t157)) % 35.11/35.38 (define @t167 () (or @t161 @t166 @t159)) % 35.11/35.38 (define @t168 () (@list false)) % 35.11/35.38 (define @t169 () (@var "BOUND_VARIABLE_9106" $$unsorted)) % 35.11/35.38 (define @t170 () (= (tptp.neq @t2 @t169) (not (= @t2 @t169)))) % 35.11/35.38 (define @t171 () (not (tptp.ssList @t169))) % 35.11/35.38 (define @t172 () (or @t142 @t171 @t170)) % 35.11/35.38 (define @t173 () (or @t171 @t170)) % 35.11/35.38 (define @t174 () (or @t142 @t173)) % 35.11/35.38 (define @t175 () (@list @t2 @t169)) % 35.11/35.38 (define @t176 () (forall @t175 @t174)) % 35.11/35.38 (define @t177 () (@list @t169)) % 35.11/35.38 (define @t178 () (forall @t177 @t174)) % 35.11/35.38 (define @t179 () (forall @t177 @t173)) % 35.11/35.38 (define @t180 () (@list @t1)) % 35.11/35.38 (define @t181 () (or @t142 @t179)) % 35.11/35.38 (define @t182 () (not @t27)) % 35.11/35.38 (define @t183 () (forall @t7 (or @t182 @t5))) % 35.11/35.38 (define @t184 () (not @t162)) % 35.11/35.38 (define @t185 () (tptp.neq @t157 tptp.nil)) % 35.11/35.38 (define @t186 () (= @t185 @t184)) % 35.11/35.38 (define @t187 () (not @t61)) % 35.11/35.38 (define @t188 () (or @t161 @t187 @t186)) % 35.11/35.38 (define @t189 () (forall @t175 @t172)) % 35.11/35.38 (define @t190 () (not @t166)) % 35.11/35.38 (define @t191 () (= @t185 @t190)) % 35.11/35.38 (define @t192 () (or @t161 @t187 @t191)) % 35.11/35.38 (define @t193 () (or @t153 @t152 @t151 @t150)) % 35.11/35.38 (define @t194 () (or @t142 @t193)) % 35.11/35.38 (define @t195 () (forall @t155 @t194)) % 35.11/35.38 (define @t196 () (@list @t147)) % 35.11/35.38 (define @t197 () (forall @t196 @t194)) % 35.11/35.38 (define @t198 () (forall @t196 @t193)) % 35.11/35.38 (define @t199 () (or @t142 @t198)) % 35.11/35.38 (define @t200 () (tptp.cons @t100 tptp.nil)) % 35.11/35.38 (define @t201 () (tptp.ssList @t200)) % 35.11/35.38 (define @t202 () (tptp.ssItem @t100)) % 35.11/35.38 (define @t203 () (tptp.neq tptp.nil @t1)) % 35.11/35.38 (define @t204 () (and @t203 @t202 @t201 (not (= @t2 @t200)))) % 35.11/35.38 (define @t205 () (or @t182 @t114 @t116 @t204)) % 35.11/35.38 (define @t206 () (or @t142 (forall @t7 @t205))) % 35.11/35.38 (define @t207 () (or @t142 @t205)) % 35.11/35.38 (define @t208 () (or @t182 @t114 @t116 @t142 @t204)) % 35.11/35.38 (define @t209 () (or @t142 @t204)) % 35.11/35.38 (define @t210 () (not (= @t2 @t2))) % 35.11/35.38 (define @t211 () (or @t142 @t210 @t204)) % 35.11/35.38 (define @t212 () (and @t203 @t202 @t201 (not (= @t12 @t200)))) % 35.11/35.38 (define @t213 () (not @t15)) % 35.11/35.38 (define @t214 () (or @t129 @t213 @t129 @t212)) % 35.11/35.38 (define @t215 () (or @t213 @t129 @t212)) % 35.11/35.38 (define @t216 () (forall @t16 @t215)) % 35.11/35.38 (define @t217 () (or @t182 @t114 @t116 @t216)) % 35.11/35.38 (define @t218 () (or @t182 @t114 @t116 @t215)) % 35.11/35.38 (define @t219 () (or @t213 @t129 @t182 @t114 @t212 @t116)) % 35.11/35.38 (define @t220 () (or @t114 @t212 @t116)) % 35.11/35.38 (define @t221 () (and @t220 true)) % 35.11/35.38 (define @t222 () (or @t213 @t129 @t182 @t221)) % 35.11/35.38 (define @t223 () (and @t220 (or @t114 @t113))) % 35.11/35.38 (define @t224 () (or @t129 @t182 @t223)) % 35.11/35.38 (define @t225 () (or @t182 @t223)) % 35.11/35.38 (define @t226 () (not (= @t1 @t1))) % 35.11/35.38 (define @t227 () (or @t182 @t226 @t223)) % 35.11/35.38 (define @t228 () (tptp.cons @t118 tptp.nil)) % 35.11/35.38 (define @t229 () (= @t12 @t228)) % 35.11/35.38 (define @t230 () (not @t229)) % 35.11/35.38 (define @t231 () (tptp.ssList @t228)) % 35.11/35.38 (define @t232 () (tptp.ssItem @t118)) % 35.11/35.38 (define @t233 () (and (or @t114 (and @t117 @t232 @t231 @t230) @t116) @t115)) % 35.11/35.38 (define @t234 () (not @t13)) % 35.11/35.38 (define @t235 () (or @t130 @t234 @t130 @t233)) % 35.11/35.38 (define @t236 () (or @t234 @t130 @t233)) % 35.11/35.38 (define @t237 () (forall @t14 @t236)) % 35.11/35.38 (define @t238 () (or @t129 @t237)) % 35.11/35.38 (define @t239 () (or @t129 @t236)) % 35.11/35.38 (define @t240 () (or @t234 @t130 @t129 @t233)) % 35.11/35.38 (define @t241 () (not @t231)) % 35.11/35.38 (define @t242 () (not @t241)) % 35.11/35.38 (define @t243 () (not @t232)) % 35.11/35.38 (define @t244 () (not @t243)) % 35.11/35.38 (define @t245 () (not @t117)) % 35.11/35.38 (define @t246 () (not @t245)) % 35.11/35.38 (define @t247 () (and @t246 @t244 @t242 @t230)) % 35.11/35.38 (define @t248 () (or @t241 @t229)) % 35.11/35.38 (define @t249 () (or @t245 @t243 @t241 @t229)) % 35.11/35.38 (define @t250 () (or @t114 (not @t249) @t116)) % 35.11/35.38 (define @t251 () (and @t250 @t115)) % 35.11/35.38 (define @t252 () (or @t130 @t129 @t251)) % 35.11/35.38 (define @t253 () (not (= @t228 @t228))) % 35.11/35.38 (define @t254 () (or @t241 @t229 @t253)) % 35.11/35.38 (define @t255 () (not (= @t44 @t228))) % 35.11/35.38 (define @t256 () (not @t48)) % 35.11/35.38 (define @t257 () (or @t255 @t256 @t123 @t255)) % 35.11/35.38 (define @t258 () (or @t256 @t123 @t255)) % 35.11/35.38 (define @t259 () (forall @t49 @t258)) % 35.11/35.38 (define @t260 () (or @t245 @t243 @t259)) % 35.11/35.38 (define @t261 () (or @t245 @t243 @t258)) % 35.11/35.38 (define @t262 () (or @t256 @t123 @t245 @t243 @t255)) % 35.11/35.38 (define @t263 () (or @t245 @t243 @t255)) % 35.11/35.38 (define @t264 () (not @t263)) % 35.11/35.38 (define @t265 () (not @t264)) % 35.11/35.38 (define @t266 () (not @t124)) % 35.11/35.38 (define @t267 () (or @t256 @t266 @t265)) % 35.11/35.38 (define @t268 () (and @t48 @t124 @t264)) % 35.11/35.38 (define @t269 () (forall @t49 (not @t268))) % 35.11/35.38 (define @t270 () (not @t269)) % 35.11/35.38 (define @t271 () (or @t243 @t255)) % 35.11/35.38 (define @t272 () (not (= @t118 @t118))) % 35.11/35.38 (define @t273 () (or @t243 @t255 @t272)) % 35.11/35.38 (define @t274 () (= @t43 @t118)) % 35.11/35.38 (define @t275 () (not @t274)) % 35.11/35.38 (define @t276 () (= @t44 @t119)) % 35.11/35.38 (define @t277 () (not @t276)) % 35.11/35.38 (define @t278 () (not @t120)) % 35.11/35.38 (define @t279 () (or @t275 @t278 @t277 @t275)) % 35.11/35.38 (define @t280 () (or @t278 @t277 @t275)) % 35.11/35.38 (define @t281 () (forall @t47 @t280)) % 35.11/35.38 (define @t282 () (or @t245 @t281)) % 35.11/35.38 (define @t283 () (or @t245 @t280)) % 35.11/35.38 (define @t284 () (or @t278 @t277 @t275 @t245)) % 35.11/35.38 (define @t285 () (and @t120 @t276 @t274 @t117)) % 35.11/35.38 (define @t286 () (forall @t47 (not @t285))) % 35.11/35.38 (define @t287 () (not @t286)) % 35.11/35.38 (define @t288 () (tptp.cons @t158 tptp.nil)) % 35.11/35.38 (define @t289 () (@quantifiers_skolemize @t156 0)) % 35.11/35.38 (define @t290 () (= @t289 @t288)) % 35.11/35.38 (define @t291 () (not @t290)) % 35.11/35.38 (define @t292 () (tptp.ssList @t288)) % 35.11/35.38 (define @t293 () (tptp.neq tptp.nil @t157)) % 35.11/35.38 (define @t294 () (and @t293 @t159 @t292 @t291)) % 35.11/35.38 (define @t295 () (tptp.segmentP @t157 @t289)) % 35.11/35.38 (define @t296 () (tptp.singletonP @t289)) % 35.11/35.38 (define @t297 () (and @t296 @t295)) % 35.11/35.38 (define @t298 () (not @t185)) % 35.11/35.38 (define @t299 () (tptp.ssList @t289)) % 35.11/35.38 (define @t300 () (not @t299)) % 35.11/35.38 (define @t301 () (or @t300 @t161 @t298 @t297 @t294)) % 35.11/35.38 (define @t302 () (@list true)) % 35.11/35.38 (define @t303 () (@list @t301)) % 35.11/35.38 (define @t304 () (@list false false false)) % 35.11/35.38 (define @t305 () (@list false false)) % 35.11/35.38 (define @t306 () (@list false true false)) % 35.11/35.38 (define @t307 () (@var "BOUND_VARIABLE_10530" $$unsorted)) % 35.11/35.38 (define @t308 () (= (tptp.cons @t307 @t2) (tptp.app (tptp.cons @t307 tptp.nil) @t2))) % 35.11/35.38 (define @t309 () (not (tptp.ssItem @t307))) % 35.11/35.38 (define @t310 () (or @t309 @t308)) % 35.11/35.38 (define @t311 () (or @t142 @t310)) % 35.11/35.38 (define @t312 () (forall (@list @t2 @t307) @t311)) % 35.11/35.38 (define @t313 () (@list @t307)) % 35.11/35.38 (define @t314 () (forall @t313 @t311)) % 35.11/35.38 (define @t315 () (forall @t313 @t310)) % 35.11/35.38 (define @t316 () (or @t142 @t315)) % 35.11/35.38 (define @t317 () (not @t6)) % 35.11/35.38 (define @t318 () (forall @t7 (or @t317 @t109))) % 35.11/35.38 (define @t319 () (tptp.tl @t157)) % 35.11/35.38 (define @t320 () (@var "BOUND_VARIABLE_9264" $$unsorted)) % 35.11/35.38 (define @t321 () (tptp.cons @t320 @t1)) % 35.11/35.38 (define @t322 () (not (= @t2 @t321))) % 35.11/35.38 (define @t323 () (not (tptp.ssItem @t320))) % 35.11/35.38 (define @t324 () (or @t182 @t323 @t322)) % 35.11/35.38 (define @t325 () (@list @t1 @t320)) % 35.11/35.38 (define @t326 () (not (forall @t325 @t324))) % 35.11/35.38 (define @t327 () (or @t142 @t141 @t326)) % 35.11/35.38 (define @t328 () (or @t141 @t326)) % 35.11/35.38 (define @t329 () (or @t323 @t322)) % 35.11/35.38 (define @t330 () (or @t182 @t329)) % 35.11/35.38 (define @t331 () (forall @t325 @t330)) % 35.11/35.38 (define @t332 () (@list @t320)) % 35.11/35.38 (define @t333 () (forall @t332 @t330)) % 35.11/35.38 (define @t334 () (forall @t332 @t329)) % 35.11/35.38 (define @t335 () (or @t182 @t334)) % 35.11/35.38 (define @t336 () (= @t2 @t63)) % 35.11/35.38 (define @t337 () (forall @t16 (or (not @t50) (not @t336)))) % 35.11/35.38 (define @t338 () (not @t337)) % 35.11/35.38 (define @t339 () (and @t27 @t338)) % 35.11/35.38 (define @t340 () (forall @t7 (not @t339))) % 35.11/35.38 (define @t341 () (not @t340)) % 35.11/35.38 (define @t342 () (and @t50 @t336)) % 35.11/35.38 (define @t343 () (forall @t16 (not @t342))) % 35.11/35.38 (define @t344 () (not @t343)) % 35.11/35.38 (define @t345 () (not (= @t157 @t321))) % 35.11/35.38 (define @t346 () (or @t182 @t323 @t345)) % 35.11/35.38 (define @t347 () (forall @t325 @t346)) % 35.11/35.38 (define @t348 () (not @t347)) % 35.11/35.38 (define @t349 () (or @t161 @t162 @t348)) % 35.11/35.38 (define @t350 () (forall @t9 @t327)) % 35.11/35.38 (define @t351 () (forall @t325 (or @t182 @t323 (not (= @t321 @t157))))) % 35.11/35.38 (define @t352 () (not @t351)) % 35.11/35.38 (define @t353 () (or @t161 @t166 @t352)) % 35.11/35.38 (define @t354 () (@quantifiers_skolemize @t351 0)) % 35.11/35.38 (define @t355 () (@quantifiers_skolemize @t351 1)) % 35.11/35.38 (define @t356 () (tptp.cons @t355 @t354)) % 35.11/35.38 (define @t357 () (= @t157 @t356)) % 35.11/35.38 (define @t358 () (not @t357)) % 35.11/35.38 (define @t359 () (tptp.ssItem @t355)) % 35.11/35.38 (define @t360 () (not @t359)) % 35.11/35.38 (define @t361 () (tptp.ssList @t354)) % 35.11/35.38 (define @t362 () (not @t361)) % 35.11/35.38 (define @t363 () (or @t362 @t360 @t358)) % 35.11/35.38 (define @t364 () (not @t363)) % 35.11/35.38 (define @t365 () (not (= @t356 @t157))) % 35.11/35.38 (define @t366 () (or @t362 @t360 @t365)) % 35.11/35.38 (define @t367 () (not @t366)) % 35.11/35.38 (define @t368 () (@list @t363)) % 35.11/35.38 (define @t369 () (@var "BOUND_VARIABLE_9351" $$unsorted)) % 35.11/35.38 (define @t370 () (= @t2 (tptp.tl (tptp.cons @t369 @t2)))) % 35.11/35.38 (define @t371 () (not (tptp.ssItem @t369))) % 35.11/35.38 (define @t372 () (or @t371 @t370)) % 35.11/35.38 (define @t373 () (or @t142 @t372)) % 35.11/35.38 (define @t374 () (forall (@list @t2 @t369) @t373)) % 35.11/35.38 (define @t375 () (@list @t369)) % 35.11/35.38 (define @t376 () (forall @t375 @t373)) % 35.11/35.38 (define @t377 () (forall @t375 @t372)) % 35.11/35.38 (define @t378 () (or @t142 @t377)) % 35.11/35.38 (define @t379 () (= @t2 @t79)) % 35.11/35.38 (define @t380 () (forall @t7 (or @t317 @t379))) % 35.11/35.38 (define @t381 () (= @t354 (tptp.tl @t356))) % 35.11/35.38 (define @t382 () (or @t362 @t360 @t381)) % 35.11/35.38 (define @t383 () (tptp.ssList @t319)) % 35.11/35.38 (define @t384 () (@var "BOUND_VARIABLE_8388" $$unsorted)) % 35.11/35.38 (define @t385 () (@var "BOUND_VARIABLE_8411" $$unsorted)) % 35.11/35.38 (define @t386 () (not (tptp.ssList @t384))) % 35.11/35.38 (define @t387 () (@list @t12 @t384)) % 35.11/35.38 (define @t388 () (= (tptp.segmentP @t2 @t385) (not (forall @t387 (or @t213 @t386 (not (= @t2 (tptp.app (tptp.app @t12 @t385) @t384)))))))) % 35.11/35.38 (define @t389 () (not (tptp.ssList @t385))) % 35.11/35.38 (define @t390 () (or @t389 @t388)) % 35.11/35.38 (define @t391 () (or @t142 @t390)) % 35.11/35.38 (define @t392 () (forall (@list @t2 @t385) @t391)) % 35.11/35.38 (define @t393 () (@list @t385)) % 35.11/35.38 (define @t394 () (forall @t393 @t391)) % 35.11/35.38 (define @t395 () (forall @t393 @t390)) % 35.11/35.38 (define @t396 () (or @t142 @t395)) % 35.11/35.38 (define @t397 () (not (= @t2 (tptp.app @t28 @t384)))) % 35.11/35.38 (define @t398 () (or @t213 @t386 @t397)) % 35.11/35.38 (define @t399 () (= @t35 (not (forall @t387 @t398)))) % 35.11/35.38 (define @t400 () (forall @t7 (or @t182 @t399))) % 35.11/35.38 (define @t401 () (or @t386 @t397)) % 35.11/35.38 (define @t402 () (or @t213 @t401)) % 35.11/35.38 (define @t403 () (forall @t387 @t402)) % 35.11/35.38 (define @t404 () (@list @t384)) % 35.11/35.38 (define @t405 () (forall @t404 @t402)) % 35.11/35.38 (define @t406 () (forall @t404 @t401)) % 35.11/35.38 (define @t407 () (or @t213 @t406)) % 35.11/35.38 (define @t408 () (= @t2 @t30)) % 35.11/35.38 (define @t409 () (forall @t14 (or @t234 (not @t408)))) % 35.11/35.38 (define @t410 () (not @t409)) % 35.11/35.38 (define @t411 () (and @t15 @t410)) % 35.11/35.38 (define @t412 () (forall @t16 (not @t411))) % 35.11/35.38 (define @t413 () (not @t412)) % 35.11/35.38 (define @t414 () (and @t13 @t408)) % 35.11/35.38 (define @t415 () (forall @t14 (not @t414))) % 35.11/35.38 (define @t416 () (not @t415)) % 35.11/35.38 (define @t417 () (forall @t387 (or @t213 @t386 (not (= @t157 (tptp.app (tptp.app @t12 @t289) @t384)))))) % 35.11/35.38 (define @t418 () (not @t417)) % 35.11/35.38 (define @t419 () (= @t295 @t418)) % 35.11/35.38 (define @t420 () (or @t161 @t300 @t419)) % 35.11/35.38 (define @t421 () (= @t2 @t18)) % 35.11/35.38 (define @t422 () (= @t21 (not (forall @t7 (or @t317 (not @t421)))))) % 35.11/35.38 (define @t423 () (and @t6 @t421)) % 35.11/35.38 (define @t424 () (forall @t7 (not @t423))) % 35.11/35.38 (define @t425 () (not @t424)) % 35.11/35.38 (define @t426 () (not (= @t289 @t18))) % 35.11/35.38 (define @t427 () (or @t317 @t426)) % 35.11/35.38 (define @t428 () (forall @t7 @t427)) % 35.11/35.38 (define @t429 () (not @t428)) % 35.11/35.38 (define @t430 () (= @t296 @t429)) % 35.11/35.38 (define @t431 () (or @t300 @t430)) % 35.11/35.38 (define @t432 () (forall @t9 (or @t142 @t422))) % 35.11/35.38 (define @t433 () (@list @t289)) % 35.11/35.38 (define @t434 () (forall @t7 (or @t317 (not (= @t18 @t289))))) % 35.11/35.38 (define @t435 () (not @t434)) % 35.11/35.38 (define @t436 () (= @t296 @t435)) % 35.11/35.38 (define @t437 () (or @t300 @t436)) % 35.11/35.38 (define @t438 () (@var "BOUND_VARIABLE_9127" $$unsorted)) % 35.11/35.38 (define @t439 () (tptp.ssList (tptp.cons @t438 @t2))) % 35.11/35.38 (define @t440 () (not (tptp.ssItem @t438))) % 35.11/35.38 (define @t441 () (or @t440 @t439)) % 35.11/35.38 (define @t442 () (or @t142 @t441)) % 35.11/35.38 (define @t443 () (forall (@list @t2 @t438) @t442)) % 35.11/35.38 (define @t444 () (@list @t438)) % 35.11/35.38 (define @t445 () (forall @t444 @t442)) % 35.11/35.38 (define @t446 () (forall @t444 @t441)) % 35.11/35.38 (define @t447 () (or @t142 @t446)) % 35.11/35.38 (define @t448 () (forall @t7 (or @t317 @t57))) % 35.11/35.38 (define @t449 () (not @t159)) % 35.11/35.38 (define @t450 () (or @t187 @t449 @t292)) % 35.11/35.38 (define @t451 () (= @t293 @t190)) % 35.11/35.38 (define @t452 () (or @t187 @t161 @t451)) % 35.11/35.38 (define @t453 () (not @t451)) % 35.11/35.38 (define @t454 () (@list true false)) % 35.11/35.38 (define @t455 () (not @t292)) % 35.11/35.38 (define @t456 () (not @t293)) % 35.11/35.38 (define @t457 () (@list true false false false)) % 35.11/35.38 (define @t458 () (or @t449 @t291)) % 35.11/35.38 (define @t459 () (not @t458)) % 35.11/35.38 (define @t460 () (not (= @t288 @t289))) % 35.11/35.38 (define @t461 () (or @t449 @t460)) % 35.11/35.38 (define @t462 () (not @t436)) % 35.11/35.38 (define @t463 () (not @t419)) % 35.11/35.38 (define @t464 () (tptp.app tptp.nil @t289)) % 35.11/35.38 (define @t465 () (= @t157 (tptp.app @t464 @t354))) % 35.11/35.38 (define @t466 () (not @t465)) % 35.11/35.38 (define @t467 () (or @t187 @t362 @t466)) % 35.11/35.38 (define @t468 () (= @t2 @t104)) % 35.11/35.38 (define @t469 () (or @t142 @t141 @t468)) % 35.11/35.38 (define @t470 () (=> @t144 @t468)) % 35.11/35.38 (define @t471 () (tptp.cons @t158 @t319)) % 35.11/35.38 (define @t472 () (= @t157 @t471)) % 35.11/35.38 (define @t473 () (or @t161 @t162 @t472)) % 35.11/35.38 (define @t474 () (forall @t9 @t469)) % 35.11/35.38 (define @t475 () (or @t161 @t166 @t472)) % 35.11/35.38 (define @t476 () (= @t2 @t86)) % 35.11/35.38 (define @t477 () (= @t289 @t464)) % 35.11/35.38 (define @t478 () (or @t300 @t477)) % 35.11/35.38 (define @t479 () (tptp.app @t288 @t319)) % 35.11/35.38 (define @t480 () (= @t471 @t479)) % 35.11/35.38 (define @t481 () (not @t480)) % 35.11/35.38 (define @t482 () (not @t381)) % 35.11/35.38 (define @t483 () (not @t472)) % 35.11/35.38 (define @t484 () (not @t477)) % 35.11/35.38 (define @t485 () (and @t290 @t477 @t472 @t357 @t381 @t466)) % 35.11/35.38 (define @t486 () (not @t383)) % 35.11/35.38 (define @t487 () (or @t486 @t449 @t480)) % 35.11/35.38 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 35.11/35.38 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 35.11/35.38 (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))))))))))) % 35.11/35.38 (assume @p4 @t24) % 35.11/35.38 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 35.11/35.38 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 35.11/35.38 (assume @p7 @t40) % 35.11/35.38 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (not (and @t42 @t41))))))))))))))))) % 35.11/35.38 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (or @t42 @t41)))))))))))))))) % 35.11/35.38 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (or @t51 (tptp.lt @t12 @t1))))))))))))))))) % 35.11/35.38 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 @t42))))))))))))))) % 35.11/35.38 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 @t51))))))))))))))) % 35.11/35.38 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (not @t52)))))))))))))))) % 35.11/35.38 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t44))) @t2) @t52))))))))))))) % 35.11/35.38 (assume @p15 @t55) % 35.11/35.38 (assume @p16 @t60) % 35.11/35.38 (assume @p17 @t61) % 35.11/35.38 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t56 @t2))))))) % 35.11/35.38 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t50 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t62))))))))))) % 35.11/35.38 (assume @p20 @t71) % 35.11/35.38 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t56))))))) % 35.11/35.38 (assume @p22 @t77) % 35.11/35.38 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t56) @t1)))))) % 35.11/35.38 (assume @p24 (forall @t9 (=> @t17 (=> @t74 (tptp.ssList @t78))))) % 35.11/35.38 (assume @p25 @t83) % 35.11/35.38 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t84)))))) % 35.11/35.38 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t50 (= (tptp.cons @t12 @t85) (tptp.app @t63 @t2))))))))) % 35.11/35.38 (assume @p28 @t88) % 35.11/35.38 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t90 @t89) @t3)))))) % 35.11/35.38 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t90 @t42) (tptp.leq @t2 @t12))))))))) % 35.11/35.38 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 35.11/35.38 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t91 @t89)))))) % 35.11/35.38 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t93 (not @t92))))))) % 35.11/35.38 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t93 @t51) @t94)))))))) % 35.11/35.38 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t95 @t92)))))) % 35.11/35.38 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t96))))))))) % 35.11/35.38 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t96))))))))) % 35.11/35.38 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 35.11/35.38 (assume @p39 (not (tptp.singletonP tptp.nil))) % 35.11/35.38 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 35.11/35.38 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 35.11/35.38 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 35.11/35.38 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 35.11/35.38 (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)))))))))))) % 35.11/35.38 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 35.11/35.38 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t68)))) % 35.11/35.38 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 35.11/35.38 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 35.11/35.38 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 35.11/35.38 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t97 @t1))))))))) % 35.11/35.38 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 35.11/35.38 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t68)))) % 35.11/35.38 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 35.11/35.38 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t35 @t98) @t3)))))) % 35.11/35.38 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 35.11/35.38 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t35 (tptp.segmentP (tptp.app @t97 @t10) @t1))))))))))) % 35.11/35.38 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 35.11/35.38 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t68)))) % 35.11/35.38 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t99)))) % 35.11/35.38 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 35.11/35.38 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t99)))) % 35.11/35.38 (assume @p62 (tptp.totalorderP tptp.nil)) % 35.11/35.38 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t99)))) % 35.11/35.38 (assume @p64 (tptp.strictorderP tptp.nil)) % 35.11/35.38 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t99)))) % 35.11/35.38 (assume @p66 (tptp.totalorderedP tptp.nil)) % 35.11/35.38 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t103) (or @t101 (and @t102 (tptp.totalorderedP @t1) (tptp.leq @t2 @t100))))))))) % 35.11/35.38 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t99)))) % 35.11/35.38 (assume @p69 (tptp.strictorderedP tptp.nil)) % 35.11/35.38 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t103) (or @t101 (and @t102 (tptp.strictorderedP @t1) (tptp.lt @t2 @t100))))))))) % 35.11/35.38 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t99)))) % 35.11/35.38 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 35.11/35.38 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t99)))) % 35.11/35.38 (assume @p74 (tptp.equalelemsP tptp.nil)) % 35.11/35.38 (assume @p75 (forall @t9 (=> @t17 (=> @t74 (exists @t7 (and @t6 (= @t72 @t1))))))) % 35.11/35.38 (assume @p76 (forall @t9 (=> @t17 (=> @t74 (exists @t7 (and @t27 (= @t78 @t1))))))) % 35.11/35.38 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t102 @t74 (= @t100 @t72) (= (tptp.tl @t1) @t78)) @t62)))))) % 35.11/35.38 (assume @p78 @t107) % 35.11/35.38 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t84) @t108)))))))) % 35.11/35.38 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t85) @t108)))))))) % 35.11/35.38 (assume @p81 @t112) % 35.11/35.38 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t84 @t12) (tptp.app @t2 @t25))))))))) % 35.11/35.38 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t84) (and @t101 @t68))))))) % 35.11/35.38 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 35.11/35.38 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t74 (= (tptp.hd @t84) @t72))))))) % 35.11/35.38 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t74 (= (tptp.tl @t84) (tptp.app @t78 @t1)))))))) % 35.11/35.38 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t91 (tptp.geq @t1 @t2)) @t3)))))) % 35.11/35.38 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t91 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 35.11/35.38 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 35.11/35.38 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 35.11/35.38 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t90 @t51) @t94)))))))) % 35.11/35.38 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t90 (or @t3 @t93))))))) % 35.11/35.38 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t93 (and @t4 @t90))))))) % 35.11/35.38 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t95 (not (tptp.gt @t1 @t2)))))))) % 35.11/35.38 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t95 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 35.11/35.38 (assume @p96 @t140) % 35.11/35.38 (assume @p97 true) % 35.11/35.38 (step @p98 :rule aci_norm :args ((= (or @t142 (or @t141 @t73)) @t143))) % 35.11/35.38 (step @p99 :rule refl :args (@t73)) % 35.11/35.38 (step @p100 :rule bool-double-not-elim :args (@t141)) % 35.11/35.38 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t145 @t73))) % 35.11/35.38 (step @p102 :rule bool-impl-elim :args (@t144 @t73)) % 35.11/35.38 (step @p103 :rule trans :premises (@p102 @p101)) % 35.11/35.38 (step @p104 :rule refl :args (@t142)) % 35.11/35.38 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t142 @t146))) % 35.11/35.38 (step @p106 :rule trans :premises (@p105 @p98)) % 35.11/35.38 (step @p107 :rule bool-impl-elim :args (@t17 @t146)) % 35.11/35.38 (step @p108 :rule trans :premises (@p107 @p106)) % 35.11/35.38 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t146)))) % 35.11/35.38 (step @p110 :rule refl :args (@t73)) % 35.11/35.38 (step @p111 :rule eq-symm :args (tptp.nil @t2)) % 35.11/35.38 (step @p112 :rule cong :premises (@p111) :args (@t74)) % 35.11/35.38 (step @p113 :rule cong :premises (@p112 @p110) :args (@t75)) % 35.11/35.38 (step @p114 :rule refl :args (@t17)) % 35.11/35.38 (step @p115 :rule cong :premises (@p114 @p113) :args (@t76)) % 35.11/35.38 (step @p116 :rule cong :premises (@p115) :args (@t77)) % 35.11/35.38 (step @p117 :rule trans :premises (@p116 @p109)) % 35.11/35.38 (step @p118 :rule eq_resolve :premises (@p22 @p117)) % 35.11/35.38 (step @p119 :rule refl :args (@t159)) % 35.11/35.38 (step @p120 :rule eq-symm :args (@t157 tptp.nil)) % 35.11/35.38 (step @p121 :rule refl :args (@t161)) % 35.11/35.38 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t163)) % 35.11/35.38 (step @p123 :rule refl :args (@t164)) % 35.11/35.38 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t164 @t163))) % 35.11/35.38 (assume-push @p880 @t164) % 35.11/35.38 (step @p126 :rule instantiate :premises (@p118) :args (@t165)) % 35.11/35.38 (step-pop @p881 :rule scope :premises (@p126)) % 35.11/35.38 (step @p127 :rule process_scope :premises (@p881) :args (@t163)) % 35.11/35.38 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 35.11/35.38 (step @p130 :rule implies_elim :premises (@p129)) % 35.11/35.38 (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t167 @t168 (@list @t164))) % 35.11/35.38 (step @p132 :rule aci_norm :args ((= @t174 @t172))) % 35.11/35.38 (step @p133 :rule cong :premises (@p132) :args (@t176)) % 35.11/35.38 (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t178) @t176))) % 35.11/35.38 (step @p135 :rule alpha_equiv :args (@t179 (@list @t169) @t180)) % 35.11/35.38 (step @p136 :rule nary_cong :premises (@p104 @p135) :args (@t181)) % 35.11/35.38 (step @p137 :rule quant-miniscope-or :args ((= @t178 @t181))) % 35.11/35.38 (step @p138 :rule trans :premises (@p137 @p136)) % 35.11/35.38 (step @p139 :rule symm :premises (@p138)) % 35.11/35.38 (step @p140 :rule cong :premises (@p139) :args ((forall @t9 (or @t142 @t183)))) % 35.11/35.38 (step @p141 :rule trans :premises (@p140 @p134)) % 35.11/35.38 (step @p142 :rule trans :premises (@p141 @p133)) % 35.11/35.38 (step @p143 :rule bool-impl-elim :args (@t17 @t183)) % 35.11/35.38 (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t17 @t183)))) % 35.11/35.38 (step @p145 :rule trans :premises (@p144 @p142)) % 35.11/35.38 (step @p146 :rule bool-impl-elim :args (@t27 @t5)) % 35.11/35.38 (step @p147 :rule cong :premises (@p146) :args (@t53)) % 35.11/35.38 (step @p148 :rule cong :premises (@p114 @p147) :args (@t54)) % 35.11/35.38 (step @p149 :rule cong :premises (@p148) :args (@t55)) % 35.11/35.38 (step @p150 :rule trans :premises (@p149 @p145)) % 35.11/35.38 (step @p151 :rule eq_resolve :premises (@p15 @p150)) % 35.11/35.38 (step @p152 :rule cong :premises (@p120) :args (@t184)) % 35.11/35.38 (step @p153 :rule refl :args (@t185)) % 35.11/35.38 (step @p154 :rule cong :premises (@p153 @p152) :args (@t186)) % 35.11/35.38 (step @p155 :rule refl :args (@t187)) % 35.11/35.38 (step @p156 :rule nary_cong :premises (@p121 @p155 @p154) :args (@t188)) % 35.11/35.38 (step @p157 :rule refl :args (@t189)) % 35.11/35.38 (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t189 @t188))) % 35.11/35.38 (assume-push @p882 @t189) % 35.11/35.38 (step @p160 :rule instantiate :premises (@p151) :args ((@list @t157 tptp.nil))) % 35.11/35.38 (step-pop @p883 :rule scope :premises (@p160)) % 35.11/35.38 (step @p161 :rule process_scope :premises (@p883) :args (@t188)) % 35.11/35.38 (step @p163 :rule eq_resolve :premises (@p161 @p158)) % 35.11/35.38 (step @p164 :rule implies_elim :premises (@p163)) % 35.11/35.38 (step @p165 :rule chain_m_resolution :premises (@p164 @p151) :args (@t192 @t168 (@list @t189))) % 35.11/35.38 (step @p166 :rule aci_norm :args ((= @t194 @t154))) % 35.11/35.38 (step @p167 :rule cong :premises (@p166) :args (@t195)) % 35.11/35.38 (step @p168 :rule quant-merge-prenex :args ((= (forall @t9 @t197) @t195))) % 35.11/35.38 (step @p169 :rule alpha_equiv :args (@t198 (@list @t147) @t180)) % 35.11/35.38 (step @p170 :rule nary_cong :premises (@p104 @p169) :args (@t199)) % 35.11/35.38 (step @p171 :rule quant-miniscope-or :args ((= @t197 @t199))) % 35.11/35.38 (step @p172 :rule trans :premises (@p171 @p170)) % 35.11/35.38 (step @p173 :rule symm :premises (@p172)) % 35.11/35.38 (step @p174 :rule cong :premises (@p173) :args ((forall @t9 @t206))) % 35.11/35.38 (step @p175 :rule trans :premises (@p174 @p168)) % 35.11/35.38 (step @p176 :rule trans :premises (@p175 @p167)) % 35.11/35.38 (step @p177 :rule aci_norm :args ((= (or @t142 @t206) @t206))) % 35.11/35.38 (step @p178 :rule bool-impl-elim :args (@t17 @t206)) % 35.11/35.38 (step @p179 :rule trans :premises (@p178 @p177)) % 35.11/35.38 (step @p180 :rule cong :premises (@p179) :args ((forall @t9 (=> @t17 @t206)))) % 35.11/35.38 (step @p181 :rule trans :premises (@p180 @p176)) % 35.11/35.38 (step @p182 :rule quant-miniscope-or :args ((= (forall @t7 @t207) @t206))) % 35.11/35.38 (step @p183 :rule aci_norm :args ((= @t208 @t207))) % 35.11/35.38 (step @p184 :rule cong :premises (@p183) :args ((forall @t7 @t208))) % 35.11/35.38 (step @p185 :rule trans :premises (@p184 @p182)) % 35.11/35.38 (step @p186 :rule aci_norm :args ((= (or @t182 @t208) @t208))) % 35.11/35.38 (step @p187 :rule bool-impl-elim :args (@t27 @t208)) % 35.11/35.38 (step @p188 :rule trans :premises (@p187 @p186)) % 35.11/35.38 (step @p189 :rule cong :premises (@p188) :args ((forall @t7 (=> @t27 @t208)))) % 35.11/35.38 (step @p190 :rule trans :premises (@p189 @p185)) % 35.11/35.38 (step @p191 :rule aci_norm :args ((= (or @t182 @t114 @t116 @t209) @t208))) % 35.11/35.38 (step @p192 :rule aci_norm :args ((= (or @t142 false @t204) @t209))) % 35.11/35.38 (step @p193 :rule refl :args (@t204)) % 35.11/35.38 (step @p194 :rule evaluate :args ((not true))) % 35.11/35.38 (step @p195 :rule eq-refl :args (@t2)) % 35.11/35.38 (step @p196 :rule cong :premises (@p195) :args (@t210)) % 35.11/35.38 (step @p197 :rule trans :premises (@p196 @p194)) % 35.11/35.38 (step @p198 :rule refl :args (@t142)) % 35.11/35.38 (step @p199 :rule nary_cong :premises (@p198 @p197 @p193) :args (@t211)) % 35.11/35.38 (step @p200 :rule trans :premises (@p199 @p192)) % 35.11/35.38 (step @p201 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t108) @t213 @t129 @t212)) @t211))) % 35.11/35.38 (step @p202 :rule refl :args (@t212)) % 35.11/35.38 (step @p203 :rule refl :args (@t129)) % 35.11/35.38 (step @p204 :rule refl :args (@t213)) % 35.11/35.38 (step @p205 :rule eq-symm :args (@t2 @t12)) % 35.11/35.38 (step @p206 :rule cong :premises (@p205) :args (@t129)) % 35.11/35.38 (step @p207 :rule nary_cong :premises (@p206 @p204 @p203 @p202) :args (@t214)) % 35.11/35.38 (step @p208 :rule aci_norm :args ((= @t215 @t214))) % 35.11/35.38 (step @p209 :rule trans :premises (@p208 @p207)) % 35.11/35.38 (step @p210 :rule cong :premises (@p209) :args (@t216)) % 35.11/35.38 (step @p211 :rule trans :premises (@p210 @p201)) % 35.11/35.38 (step @p212 :rule trans :premises (@p211 @p200)) % 35.11/35.38 (step @p213 :rule refl :args (@t116)) % 35.11/35.38 (step @p214 :rule refl :args (@t114)) % 35.11/35.38 (step @p215 :rule refl :args (@t182)) % 35.11/35.38 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213 @p212) :args (@t217)) % 35.11/35.38 (step @p217 :rule trans :premises (@p216 @p191)) % 35.11/35.38 (step @p218 :rule quant-miniscope-or :args ((= (forall @t16 @t218) @t217))) % 35.11/35.38 (step @p219 :rule aci_norm :args ((= @t219 @t218))) % 35.11/35.38 (step @p220 :rule cong :premises (@p219) :args ((forall @t16 @t219))) % 35.11/35.38 (step @p221 :rule trans :premises (@p220 @p218)) % 35.11/35.38 (step @p222 :rule trans :premises (@p221 @p217)) % 35.11/35.38 (step @p223 :rule aci_norm :args ((= (or @t213 @t129 @t182 @t220) @t219))) % 35.11/35.38 (step @p224 :rule aci_norm :args ((= @t221 @t220))) % 35.11/35.38 (step @p225 :rule refl :args (@t129)) % 35.11/35.38 (step @p226 :rule refl :args (@t213)) % 35.11/35.38 (step @p227 :rule nary_cong :premises (@p226 @p225 @p215 @p224) :args (@t222)) % 35.11/35.38 (step @p228 :rule trans :premises (@p227 @p223)) % 35.11/35.38 (step @p229 :rule cong :premises (@p228) :args ((forall @t16 @t222))) % 35.11/35.38 (step @p230 :rule trans :premises (@p229 @p222)) % 35.11/35.38 (step @p231 :rule aci_norm :args ((= (or @t213 (or @t129 @t182 @t221)) @t222))) % 35.11/35.38 (step @p232 :rule bool-or-taut2 :args (false @t113 false false)) % 35.11/35.38 (step @p233 :rule refl :args (@t220)) % 35.11/35.38 (step @p234 :rule nary_cong :premises (@p233 @p232) :args (@t223)) % 35.11/35.38 (step @p235 :rule refl :args (@t182)) % 35.11/35.38 (step @p236 :rule nary_cong :premises (@p203 @p235 @p234) :args (@t224)) % 35.11/35.38 (step @p237 :rule nary_cong :premises (@p204 @p236) :args ((or @t213 @t224))) % 35.11/35.38 (step @p238 :rule trans :premises (@p237 @p231)) % 35.11/35.38 (step @p239 :rule bool-impl-elim :args (@t15 @t224)) % 35.11/35.38 (step @p240 :rule trans :premises (@p239 @p238)) % 35.11/35.38 (step @p241 :rule cong :premises (@p240) :args ((forall @t16 (=> @t15 @t224)))) % 35.11/35.38 (step @p242 :rule trans :premises (@p241 @p230)) % 35.11/35.38 (step @p243 :rule aci_norm :args ((= (or @t129 @t225) @t224))) % 35.11/35.38 (step @p244 :rule aci_norm :args ((= (or @t182 false @t223) @t225))) % 35.11/35.38 (step @p245 :rule refl :args (@t223)) % 35.11/35.38 (step @p246 :rule eq-refl :args (@t1)) % 35.11/35.38 (step @p247 :rule cong :premises (@p246) :args (@t226)) % 35.11/35.38 (step @p248 :rule trans :premises (@p247 @p194)) % 35.11/35.38 (step @p249 :rule nary_cong :premises (@p215 @p248 @p245) :args (@t227)) % 35.11/35.38 (step @p250 :rule trans :premises (@p249 @p244)) % 35.11/35.38 (step @p251 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t234 @t130 @t233)) @t227))) % 35.11/35.38 (step @p252 :rule refl :args (@t233)) % 35.11/35.38 (step @p253 :rule refl :args (@t130)) % 35.11/35.38 (step @p254 :rule refl :args (@t234)) % 35.11/35.38 (step @p255 :rule eq-symm :args (@t1 @t10)) % 35.11/35.38 (step @p256 :rule cong :premises (@p255) :args (@t130)) % 35.11/35.38 (step @p257 :rule nary_cong :premises (@p256 @p254 @p253 @p252) :args (@t235)) % 35.11/35.38 (step @p258 :rule aci_norm :args ((= @t236 @t235))) % 35.11/35.38 (step @p259 :rule trans :premises (@p258 @p257)) % 35.11/35.38 (step @p260 :rule cong :premises (@p259) :args (@t237)) % 35.11/35.38 (step @p261 :rule trans :premises (@p260 @p251)) % 35.11/35.38 (step @p262 :rule trans :premises (@p261 @p250)) % 35.11/35.38 (step @p263 :rule nary_cong :premises (@p225 @p262) :args (@t238)) % 35.11/35.38 (step @p264 :rule trans :premises (@p263 @p243)) % 35.11/35.38 (step @p265 :rule quant-miniscope-or :args ((= (forall @t14 @t239) @t238))) % 35.11/35.38 (step @p266 :rule aci_norm :args ((= @t240 @t239))) % 35.11/35.38 (step @p267 :rule cong :premises (@p266) :args ((forall @t14 @t240))) % 35.11/35.38 (step @p268 :rule trans :premises (@p267 @p265)) % 35.11/35.38 (step @p269 :rule trans :premises (@p268 @p264)) % 35.11/35.38 (step @p270 :rule aci_norm :args ((= (or @t234 (or @t130 @t129 @t233)) @t240))) % 35.11/35.38 (step @p271 :rule refl :args (@t115)) % 35.11/35.38 (step @p272 :rule refl :args (@t116)) % 35.11/35.38 (step @p273 :rule refl :args (@t230)) % 35.11/35.38 (step @p274 :rule bool-double-not-elim :args (@t231)) % 35.11/35.38 (step @p275 :rule bool-double-not-elim :args (@t232)) % 35.11/35.38 (step @p276 :rule bool-double-not-elim :args (@t117)) % 35.11/35.38 (step @p277 :rule nary_cong :premises (@p276 @p275 @p274 @p273) :args (@t247)) % 35.11/35.38 (step @p278 :rule aci_norm :args ((= (and @t246 (and @t244 (and @t242 @t230))) @t247))) % 35.11/35.38 (step @p279 :rule trans :premises (@p278 @p277)) % 35.11/35.38 (step @p280 :rule bool-or-de-morgan :args (@t241 @t229 false)) % 35.11/35.38 (step @p281 :rule refl :args (@t244)) % 35.11/35.38 (step @p282 :rule nary_cong :premises (@p281 @p280) :args ((and @t244 (not @t248)))) % 35.11/35.38 (step @p283 :rule bool-or-de-morgan :args (@t243 @t241 (or @t229))) % 35.11/35.38 (step @p284 :rule trans :premises (@p283 @p282)) % 35.11/35.38 (step @p285 :rule refl :args (@t246)) % 35.11/35.38 (step @p286 :rule nary_cong :premises (@p285 @p284) :args ((and @t246 (not (or @t243 @t241 @t229))))) % 35.11/35.38 (step @p287 :rule bool-or-de-morgan :args (@t245 @t243 (or @t241 @t229))) % 35.11/35.38 (step @p288 :rule trans :premises (@p287 @p286)) % 35.11/35.38 (step @p289 :rule trans :premises (@p288 @p279)) % 35.11/35.38 (step @p290 :rule refl :args (@t114)) % 35.11/35.38 (step @p291 :rule nary_cong :premises (@p290 @p289 @p272) :args (@t250)) % 35.11/35.38 (step @p292 :rule nary_cong :premises (@p291 @p271) :args (@t251)) % 35.11/35.38 (step @p293 :rule nary_cong :premises (@p253 @p203 @p292) :args (@t252)) % 35.11/35.38 (step @p294 :rule nary_cong :premises (@p254 @p293) :args ((or @t234 @t252))) % 35.11/35.38 (step @p295 :rule trans :premises (@p294 @p270)) % 35.11/35.38 (step @p296 :rule bool-impl-elim :args (@t13 @t252)) % 35.11/35.38 (step @p297 :rule trans :premises (@p296 @p295)) % 35.11/35.38 (step @p298 :rule cong :premises (@p297) :args ((forall @t14 (=> @t13 @t252)))) % 35.11/35.38 (step @p299 :rule trans :premises (@p298 @p269)) % 35.11/35.38 (step @p300 :rule refl :args (@t115)) % 35.11/35.38 (step @p301 :rule aci_norm :args ((= (or @t245 @t243 @t248) @t249))) % 35.11/35.38 (step @p302 :rule aci_norm :args ((= (or @t241 @t229 false) @t248))) % 35.11/35.38 (step @p303 :rule eq-refl :args (@t228)) % 35.11/35.38 (step @p304 :rule cong :premises (@p303) :args (@t253)) % 35.11/35.38 (step @p305 :rule trans :premises (@p304 @p194)) % 35.11/35.38 (step @p306 :rule refl :args (@t229)) % 35.11/35.38 (step @p307 :rule refl :args (@t241)) % 35.11/35.38 (step @p308 :rule nary_cong :premises (@p307 @p306 @p305) :args (@t254)) % 35.11/35.38 (step @p309 :rule trans :premises (@p308 @p302)) % 35.11/35.38 (step @p310 :rule quant-var-elim-eq :args ((= (forall @t49 @t257) @t254))) % 35.11/35.38 (step @p311 :rule aci_norm :args ((= @t258 @t257))) % 35.11/35.38 (step @p312 :rule cong :premises (@p311) :args (@t259)) % 35.11/35.38 (step @p313 :rule trans :premises (@p312 @p310)) % 35.11/35.38 (step @p314 :rule trans :premises (@p313 @p309)) % 35.11/35.38 (step @p315 :rule refl :args (@t243)) % 35.11/35.38 (step @p316 :rule refl :args (@t245)) % 35.11/35.38 (step @p317 :rule nary_cong :premises (@p316 @p315 @p314) :args (@t260)) % 35.11/35.38 (step @p318 :rule trans :premises (@p317 @p301)) % 35.11/35.38 (step @p319 :rule quant-miniscope-or :args ((= (forall @t49 @t261) @t260))) % 35.11/35.38 (step @p320 :rule aci_norm :args ((= @t262 @t261))) % 35.11/35.38 (step @p321 :rule cong :premises (@p320) :args ((forall @t49 @t262))) % 35.11/35.38 (step @p322 :rule trans :premises (@p321 @p319)) % 35.11/35.38 (step @p323 :rule trans :premises (@p322 @p318)) % 35.11/35.38 (step @p324 :rule aci_norm :args ((= (or @t256 @t123 @t263) @t262))) % 35.11/35.38 (step @p325 :rule bool-double-not-elim :args (@t263)) % 35.11/35.38 (step @p326 :rule bool-double-not-elim :args (@t123)) % 35.11/35.38 (step @p327 :rule refl :args (@t256)) % 35.11/35.38 (step @p328 :rule nary_cong :premises (@p327 @p326 @p325) :args (@t267)) % 35.11/35.38 (step @p329 :rule aci_norm :args ((= (or @t256 (or @t266 @t265)) @t267))) % 35.11/35.38 (step @p330 :rule trans :premises (@p329 @p328)) % 35.11/35.38 (step @p331 :rule bool-and-de-morgan :args (@t124 @t264 true)) % 35.11/35.38 (step @p332 :rule nary_cong :premises (@p327 @p331) :args ((or @t256 (not (and @t124 @t264))))) % 35.11/35.38 (step @p333 :rule bool-and-de-morgan :args (@t48 @t124 (and @t264))) % 35.11/35.38 (step @p334 :rule trans :premises (@p333 @p332)) % 35.11/35.38 (step @p335 :rule trans :premises (@p334 @p330)) % 35.11/35.38 (step @p336 :rule trans :premises (@p335 @p324)) % 35.11/35.38 (step @p337 :rule cong :premises (@p336) :args (@t269)) % 35.11/35.38 (step @p338 :rule trans :premises (@p337 @p323)) % 35.11/35.38 (step @p339 :rule cong :premises (@p338) :args (@t270)) % 35.11/35.38 (step @p340 :rule exists-elim :args ((= (exists @t49 @t268) @t270))) % 35.11/35.38 (step @p341 :rule trans :premises (@p340 @p339)) % 35.11/35.38 (step @p342 :rule aci_norm :args ((= (or @t245 @t271) @t263))) % 35.11/35.38 (step @p343 :rule aci_norm :args ((= (or @t243 @t255 false) @t271))) % 35.11/35.38 (step @p344 :rule eq-refl :args (@t118)) % 35.11/35.38 (step @p345 :rule cong :premises (@p344) :args (@t272)) % 35.11/35.38 (step @p346 :rule trans :premises (@p345 @p194)) % 35.11/35.38 (step @p347 :rule refl :args (@t255)) % 35.11/35.38 (step @p348 :rule nary_cong :premises (@p315 @p347 @p346) :args (@t273)) % 35.11/35.38 (step @p349 :rule trans :premises (@p348 @p343)) % 35.11/35.38 (step @p350 :rule quant-var-elim-eq :args ((= (forall @t47 @t279) @t273))) % 35.11/35.38 (step @p351 :rule aci_norm :args ((= @t280 @t279))) % 35.11/35.38 (step @p352 :rule cong :premises (@p351) :args (@t281)) % 35.11/35.38 (step @p353 :rule trans :premises (@p352 @p350)) % 35.11/35.38 (step @p354 :rule trans :premises (@p353 @p349)) % 35.11/35.38 (step @p355 :rule nary_cong :premises (@p316 @p354) :args (@t282)) % 35.11/35.38 (step @p356 :rule trans :premises (@p355 @p342)) % 35.11/35.38 (step @p357 :rule quant-miniscope-or :args ((= (forall @t47 @t283) @t282))) % 35.11/35.38 (step @p358 :rule aci_norm :args ((= @t284 @t283))) % 35.11/35.38 (step @p359 :rule cong :premises (@p358) :args ((forall @t47 @t284))) % 35.11/35.38 (step @p360 :rule trans :premises (@p359 @p357)) % 35.11/35.38 (step @p361 :rule trans :premises (@p360 @p356)) % 35.11/35.38 (step @p362 :rule aci_norm :args ((= (or @t278 (or @t277 (or @t275 @t245))) @t284))) % 35.11/35.38 (step @p363 :rule bool-and-de-morgan :args (@t274 @t117 true)) % 35.11/35.38 (step @p364 :rule refl :args (@t277)) % 35.11/35.38 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or @t277 (not (and @t274 @t117))))) % 35.11/35.38 (step @p366 :rule bool-and-de-morgan :args (@t276 @t274 (and @t117))) % 35.11/35.38 (step @p367 :rule trans :premises (@p366 @p365)) % 35.11/35.38 (step @p368 :rule refl :args (@t278)) % 35.11/35.38 (step @p369 :rule nary_cong :premises (@p368 @p367) :args ((or @t278 (not (and @t276 @t274 @t117))))) % 35.11/35.38 (step @p370 :rule bool-and-de-morgan :args (@t120 @t276 (and @t274 @t117))) % 35.11/35.38 (step @p371 :rule trans :premises (@p370 @p369)) % 35.11/35.38 (step @p372 :rule trans :premises (@p371 @p362)) % 35.11/35.38 (step @p373 :rule cong :premises (@p372) :args (@t286)) % 35.11/35.38 (step @p374 :rule trans :premises (@p373 @p361)) % 35.11/35.38 (step @p375 :rule cong :premises (@p374) :args (@t287)) % 35.11/35.38 (step @p376 :rule exists-elim :args ((= (exists @t47 @t285) @t287))) % 35.11/35.38 (step @p377 :rule trans :premises (@p376 @p375)) % 35.11/35.38 (step @p378 :rule refl :args (@t117)) % 35.11/35.38 (step @p379 :rule eq-symm :args (@t118 @t43)) % 35.11/35.38 (step @p380 :rule eq-symm :args (@t119 @t44)) % 35.11/35.38 (step @p381 :rule refl :args (@t120)) % 35.11/35.38 (step @p382 :rule nary_cong :premises (@p381 @p380 @p379 @p378) :args (@t121)) % 35.11/35.38 (step @p383 :rule cong :premises (@p382) :args (@t122)) % 35.11/35.38 (step @p384 :rule trans :premises (@p383 @p377)) % 35.11/35.38 (step @p385 :rule refl :args (@t124)) % 35.11/35.38 (step @p386 :rule refl :args (@t48)) % 35.11/35.38 (step @p387 :rule nary_cong :premises (@p386 @p385 @p384) :args (@t125)) % 35.11/35.38 (step @p388 :rule cong :premises (@p387) :args (@t126)) % 35.11/35.38 (step @p389 :rule trans :premises (@p388 @p341)) % 35.11/35.38 (step @p390 :rule nary_cong :premises (@p214 @p389 @p213) :args (@t127)) % 35.11/35.38 (step @p391 :rule nary_cong :premises (@p390 @p300) :args (@t128)) % 35.11/35.38 (step @p392 :rule refl :args (@t130)) % 35.11/35.38 (step @p393 :rule nary_cong :premises (@p392 @p225 @p391) :args (@t131)) % 35.11/35.38 (step @p394 :rule refl :args (@t13)) % 35.11/35.38 (step @p395 :rule cong :premises (@p394 @p393) :args (@t132)) % 35.11/35.38 (step @p396 :rule cong :premises (@p395) :args (@t133)) % 35.11/35.38 (step @p397 :rule trans :premises (@p396 @p299)) % 35.11/35.38 (step @p398 :rule refl :args (@t15)) % 35.11/35.38 (step @p399 :rule cong :premises (@p398 @p397) :args (@t134)) % 35.11/35.38 (step @p400 :rule cong :premises (@p399) :args (@t135)) % 35.11/35.38 (step @p401 :rule trans :premises (@p400 @p242)) % 35.11/35.38 (step @p402 :rule refl :args (@t27)) % 35.11/35.38 (step @p403 :rule cong :premises (@p402 @p401) :args (@t136)) % 35.11/35.38 (step @p404 :rule cong :premises (@p403) :args (@t137)) % 35.11/35.38 (step @p405 :rule trans :premises (@p404 @p190)) % 35.11/35.38 (step @p406 :rule cong :premises (@p114 @p405) :args (@t138)) % 35.11/35.38 (step @p407 :rule cong :premises (@p406) :args (@t139)) % 35.11/35.38 (step @p408 :rule trans :premises (@p407 @p181)) % 35.11/35.38 (step @p409 :rule cong :premises (@p408) :args (@t140)) % 35.11/35.38 (step @p410 :rule eq_resolve :premises (@p96 @p409)) % 35.11/35.38 (step @p411 :rule skolemize :premises (@p410)) % 35.11/35.38 (step @p412 :rule bool-double-not-elim :args (@t160)) % 35.11/35.38 (step @p413 :rule refl :args (@t301)) % 35.11/35.38 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((or @t301 (not @t161)))) % 35.11/35.38 (step @p415 :rule cnf_or_neg :args (@t301 1)) % 35.11/35.38 (step @p416 :rule eq_resolve :premises (@p415 @p414)) % 35.11/35.38 (step @p417 :rule reordering :premises (@p416) :args ((or @t160 @t301))) % 35.11/35.38 (step @p418 :rule chain_m_resolution :premises (@p417 @p411) :args (@t160 @t302 @t303)) % 35.11/35.38 (step @p419 :rule cnf_or_pos :args (@t192)) % 35.11/35.38 (step @p420 :rule reordering :premises (@p419) :args ((or @t187 @t161 @t191 (not @t192)))) % 35.11/35.38 (step @p421 :rule chain_m_resolution :premises (@p420 @p17 @p418 @p165) :args (@t191 @t304 (@list @t61 @t160 @t192))) % 35.11/35.38 (step @p422 :rule bool-double-not-elim :args (@t185)) % 35.11/35.38 (step @p423 :rule nary_cong :premises (@p413 @p422) :args ((or @t301 (not @t298)))) % 35.11/35.38 (step @p424 :rule cnf_or_neg :args (@t301 2)) % 35.11/35.38 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 35.11/35.38 (step @p426 :rule reordering :premises (@p425) :args ((or @t185 @t301))) % 35.11/35.38 (step @p427 :rule chain_m_resolution :premises (@p426 @p411) :args (@t185 @t302 @t303)) % 35.11/35.38 (step @p428 :rule cnf_equiv_pos1 :args (@t191)) % 35.11/35.38 (step @p429 :rule reordering :premises (@p428) :args ((or @t298 @t190 (not @t191)))) % 35.11/35.38 (step @p430 :rule chain_m_resolution :premises (@p429 @p427 @p421) :args (@t190 @t305 (@list @t185 @t191))) % 35.11/35.38 (step @p431 :rule cnf_or_pos :args (@t167)) % 35.11/35.38 (step @p432 :rule reordering :premises (@p431) :args ((or @t161 @t159 @t166 (not @t167)))) % 35.11/35.38 (step @p433 :rule chain_m_resolution :premises (@p432 @p418 @p430 @p131) :args (@t159 @t306 (@list @t160 @t166 @t167))) % 35.11/35.38 (step @p434 :rule aci_norm :args ((= @t311 (or @t142 @t309 @t308)))) % 35.11/35.38 (step @p435 :rule cong :premises (@p434) :args (@t312)) % 35.11/35.38 (step @p436 :rule quant-merge-prenex :args ((= (forall @t9 @t314) @t312))) % 35.11/35.38 (step @p437 :rule alpha_equiv :args (@t315 (@list @t307) @t180)) % 35.11/35.38 (step @p438 :rule nary_cong :premises (@p104 @p437) :args (@t316)) % 35.11/35.38 (step @p439 :rule quant-miniscope-or :args ((= @t314 @t316))) % 35.11/35.38 (step @p440 :rule trans :premises (@p439 @p438)) % 35.11/35.38 (step @p441 :rule symm :premises (@p440)) % 35.11/35.38 (step @p442 :rule cong :premises (@p441) :args ((forall @t9 (or @t142 @t318)))) % 35.11/35.38 (step @p443 :rule trans :premises (@p442 @p436)) % 35.11/35.38 (step @p444 :rule trans :premises (@p443 @p435)) % 35.11/35.38 (step @p445 :rule bool-impl-elim :args (@t17 @t318)) % 35.11/35.38 (step @p446 :rule cong :premises (@p445) :args ((forall @t9 (=> @t17 @t318)))) % 35.11/35.38 (step @p447 :rule trans :premises (@p446 @p444)) % 35.11/35.38 (step @p448 :rule bool-impl-elim :args (@t6 @t109)) % 35.11/35.38 (step @p449 :rule cong :premises (@p448) :args (@t110)) % 35.11/35.38 (step @p450 :rule cong :premises (@p114 @p449) :args (@t111)) % 35.11/35.38 (step @p451 :rule cong :premises (@p450) :args (@t112)) % 35.11/35.38 (step @p452 :rule trans :premises (@p451 @p447)) % 35.11/35.38 (step @p453 :rule eq_resolve :premises (@p81 @p452)) % 35.11/35.38 (step @p454 :rule instantiate :premises (@p453) :args ((@list @t319 @t158))) % 35.11/35.38 (step @p455 :rule aci_norm :args ((= (or @t142 @t328) @t327))) % 35.11/35.38 (step @p456 :rule bool-impl-elim :args (@t17 @t328)) % 35.11/35.38 (step @p457 :rule trans :premises (@p456 @p455)) % 35.11/35.38 (step @p458 :rule cong :premises (@p457) :args ((forall @t9 (=> @t17 @t328)))) % 35.11/35.38 (step @p459 :rule aci_norm :args ((= @t330 @t324))) % 35.11/35.38 (step @p460 :rule cong :premises (@p459) :args (@t331)) % 35.11/35.38 (step @p461 :rule quant-merge-prenex :args ((= (forall @t7 @t333) @t331))) % 35.11/35.38 (step @p462 :rule alpha_equiv :args (@t334 (@list @t320) (@list @t12))) % 35.11/35.38 (step @p463 :rule nary_cong :premises (@p235 @p462) :args (@t335)) % 35.11/35.38 (step @p464 :rule quant-miniscope-or :args ((= @t333 @t335))) % 35.11/35.38 (step @p465 :rule trans :premises (@p464 @p463)) % 35.11/35.38 (step @p466 :rule symm :premises (@p465)) % 35.11/35.38 (step @p467 :rule cong :premises (@p466) :args ((forall @t7 (or @t182 @t337)))) % 35.11/35.38 (step @p468 :rule trans :premises (@p467 @p461)) % 35.11/35.38 (step @p469 :rule trans :premises (@p468 @p460)) % 35.11/35.38 (step @p470 :rule bool-double-not-elim :args (@t337)) % 35.11/35.38 (step @p471 :rule nary_cong :premises (@p235 @p470) :args ((or @t182 (not @t338)))) % 35.11/35.38 (step @p472 :rule bool-and-de-morgan :args (@t27 @t338 true)) % 35.11/35.38 (step @p473 :rule trans :premises (@p472 @p471)) % 35.11/35.38 (step @p474 :rule cong :premises (@p473) :args (@t340)) % 35.11/35.38 (step @p475 :rule trans :premises (@p474 @p469)) % 35.11/35.38 (step @p476 :rule cong :premises (@p475) :args (@t341)) % 35.11/35.38 (step @p477 :rule exists-elim :args ((= (exists @t7 @t339) @t341))) % 35.11/35.38 (step @p478 :rule trans :premises (@p477 @p476)) % 35.11/35.38 (step @p479 :rule bool-and-de-morgan :args (@t50 @t336 true)) % 35.11/35.38 (step @p480 :rule cong :premises (@p479) :args (@t343)) % 35.11/35.38 (step @p481 :rule cong :premises (@p480) :args (@t344)) % 35.11/35.38 (step @p482 :rule exists-elim :args ((= (exists @t16 @t342) @t344))) % 35.11/35.38 (step @p483 :rule trans :premises (@p482 @p481)) % 35.11/35.38 (step @p484 :rule eq-symm :args (@t63 @t2)) % 35.11/35.38 (step @p485 :rule refl :args (@t50)) % 35.11/35.38 (step @p486 :rule nary_cong :premises (@p485 @p484) :args (@t64)) % 35.11/35.38 (step @p487 :rule cong :premises (@p486) :args (@t65)) % 35.11/35.38 (step @p488 :rule trans :premises (@p487 @p483)) % 35.11/35.38 (step @p489 :rule nary_cong :premises (@p402 @p488) :args (@t66)) % 35.11/35.38 (step @p490 :rule cong :premises (@p489) :args (@t67)) % 35.11/35.38 (step @p491 :rule trans :premises (@p490 @p478)) % 35.11/35.38 (step @p492 :rule nary_cong :premises (@p111 @p491) :args (@t69)) % 35.11/35.38 (step @p493 :rule cong :premises (@p114 @p492) :args (@t70)) % 35.11/35.38 (step @p494 :rule cong :premises (@p493) :args (@t71)) % 35.11/35.38 (step @p495 :rule trans :premises (@p494 @p458)) % 35.11/35.38 (step @p496 :rule eq_resolve :premises (@p20 @p495)) % 35.11/35.38 (step @p497 :rule eq-symm :args (@t157 @t321)) % 35.11/35.38 (step @p498 :rule cong :premises (@p497) :args (@t345)) % 35.11/35.38 (step @p499 :rule refl :args (@t323)) % 35.11/35.38 (step @p500 :rule nary_cong :premises (@p215 @p499 @p498) :args (@t346)) % 35.11/35.38 (step @p501 :rule cong :premises (@p500) :args (@t347)) % 35.11/35.38 (step @p502 :rule cong :premises (@p501) :args (@t348)) % 35.11/35.38 (step @p503 :rule nary_cong :premises (@p121 @p120 @p502) :args (@t349)) % 35.11/35.38 (step @p504 :rule refl :args (@t350)) % 35.11/35.38 (step @p505 :rule cong :premises (@p504 @p503) :args ((=> @t350 @t349))) % 35.11/35.38 (assume-push @p884 @t350) % 35.11/35.38 (step @p507 :rule instantiate :premises (@p496) :args (@t165)) % 35.11/35.38 (step-pop @p885 :rule scope :premises (@p507)) % 35.11/35.38 (step @p508 :rule process_scope :premises (@p885) :args (@t349)) % 35.11/35.38 (step @p510 :rule eq_resolve :premises (@p508 @p505)) % 35.11/35.38 (step @p511 :rule implies_elim :premises (@p510)) % 35.11/35.38 (step @p512 :rule chain_m_resolution :premises (@p511 @p496) :args (@t353 @t168 (@list @t350))) % 35.11/35.38 (step @p513 :rule cnf_or_pos :args (@t353)) % 35.11/35.38 (step @p514 :rule reordering :premises (@p513) :args ((or @t161 @t166 @t352 (not @t353)))) % 35.11/35.38 (step @p515 :rule chain_m_resolution :premises (@p514 @p418 @p430 @p512) :args (@t352 @t306 (@list @t160 @t166 @t353))) % 35.11/35.38 (step @p516 :rule refl :args (@t364)) % 35.11/35.38 (step @p517 :rule bool-double-not-elim :args (@t351)) % 35.11/35.38 (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or (not @t352) @t364))) % 35.11/35.38 (step @p519 :rule eq-symm :args (@t356 @t157)) % 35.11/35.38 (step @p520 :rule cong :premises (@p519) :args (@t365)) % 35.11/35.38 (step @p521 :rule refl :args (@t360)) % 35.11/35.38 (step @p522 :rule refl :args (@t362)) % 35.11/35.38 (step @p523 :rule nary_cong :premises (@p522 @p521 @p520) :args (@t366)) % 35.11/35.38 (step @p524 :rule cong :premises (@p523) :args (@t367)) % 35.11/35.38 (step @p525 :rule refl :args (@t352)) % 35.11/35.38 (step @p526 :rule cong :premises (@p525 @p524) :args ((=> @t352 @t367))) % 35.11/35.38 (assume-push @p886 @t352) % 35.11/35.38 (step @p528 :rule skolemize :premises (@p515)) % 35.11/35.38 (step-pop @p887 :rule scope :premises (@p528)) % 35.11/35.38 (step @p529 :rule process_scope :premises (@p887) :args (@t367)) % 35.11/35.38 (step @p531 :rule eq_resolve :premises (@p529 @p526)) % 35.11/35.38 (step @p532 :rule implies_elim :premises (@p531)) % 35.11/35.38 (step @p533 :rule eq_resolve :premises (@p532 @p518)) % 35.11/35.38 (step @p534 :rule chain_m_resolution :premises (@p533 @p515) :args (@t364 @t302 (@list @t351))) % 35.11/35.38 (step @p535 :rule bool-double-not-elim :args (@t361)) % 35.11/35.38 (step @p536 :rule refl :args (@t363)) % 35.11/35.38 (step @p537 :rule nary_cong :premises (@p536 @p535) :args ((or @t363 (not @t362)))) % 35.11/35.38 (step @p538 :rule cnf_or_neg :args (@t363 0)) % 35.11/35.38 (step @p539 :rule eq_resolve :premises (@p538 @p537)) % 35.11/35.38 (step @p540 :rule reordering :premises (@p539) :args ((or @t361 @t363))) % 35.11/35.38 (step @p541 :rule chain_m_resolution :premises (@p540 @p534) :args (@t361 @t302 @t368)) % 35.11/35.38 (step @p542 :rule true_intro :premises (@p541)) % 35.11/35.38 (step @p543 :rule aci_norm :args ((= @t373 (or @t142 @t371 @t370)))) % 35.11/35.38 (step @p544 :rule cong :premises (@p543) :args (@t374)) % 35.11/35.38 (step @p545 :rule quant-merge-prenex :args ((= (forall @t9 @t376) @t374))) % 35.11/35.38 (step @p546 :rule alpha_equiv :args (@t377 (@list @t369) @t180)) % 35.11/35.38 (step @p547 :rule nary_cong :premises (@p104 @p546) :args (@t378)) % 35.11/35.38 (step @p548 :rule quant-miniscope-or :args ((= @t376 @t378))) % 35.11/35.38 (step @p549 :rule trans :premises (@p548 @p547)) % 35.11/35.38 (step @p550 :rule symm :premises (@p549)) % 35.11/35.38 (step @p551 :rule cong :premises (@p550) :args ((forall @t9 (or @t142 @t380)))) % 35.11/35.38 (step @p552 :rule trans :premises (@p551 @p545)) % 35.11/35.38 (step @p553 :rule trans :premises (@p552 @p544)) % 35.11/35.38 (step @p554 :rule bool-impl-elim :args (@t17 @t380)) % 35.11/35.38 (step @p555 :rule cong :premises (@p554) :args ((forall @t9 (=> @t17 @t380)))) % 35.11/35.38 (step @p556 :rule trans :premises (@p555 @p553)) % 35.11/35.38 (step @p557 :rule bool-impl-elim :args (@t6 @t379)) % 35.11/35.38 (step @p558 :rule cong :premises (@p557) :args ((forall @t7 (=> @t6 @t379)))) % 35.11/35.38 (step @p559 :rule eq-symm :args (@t79 @t2)) % 35.11/35.38 (step @p560 :rule refl :args (@t6)) % 35.11/35.38 (step @p561 :rule cong :premises (@p560 @p559) :args (@t80)) % 35.11/35.38 (step @p562 :rule cong :premises (@p561) :args (@t81)) % 35.11/35.38 (step @p563 :rule trans :premises (@p562 @p558)) % 35.11/35.38 (step @p564 :rule cong :premises (@p114 @p563) :args (@t82)) % 35.11/35.38 (step @p565 :rule cong :premises (@p564) :args (@t83)) % 35.11/35.38 (step @p566 :rule trans :premises (@p565 @p556)) % 35.11/35.38 (step @p567 :rule eq_resolve :premises (@p25 @p566)) % 35.11/35.38 (step @p568 :rule instantiate :premises (@p567) :args ((@list @t354 @t355))) % 35.11/35.38 (step @p569 :rule bool-double-not-elim :args (@t359)) % 35.11/35.38 (step @p570 :rule nary_cong :premises (@p536 @p569) :args ((or @t363 (not @t360)))) % 35.11/35.38 (step @p571 :rule cnf_or_neg :args (@t363 1)) % 35.11/35.38 (step @p572 :rule eq_resolve :premises (@p571 @p570)) % 35.11/35.38 (step @p573 :rule reordering :premises (@p572) :args ((or @t359 @t363))) % 35.11/35.38 (step @p574 :rule chain_m_resolution :premises (@p573 @p534) :args (@t359 @t302 @t368)) % 35.11/35.38 (step @p575 :rule cnf_or_pos :args (@t382)) % 35.11/35.38 (step @p576 :rule reordering :premises (@p575) :args ((or @t362 @t360 @t381 (not @t382)))) % 35.11/35.38 (step @p577 :rule chain_m_resolution :premises (@p576 @p541 @p574 @p568) :args (@t381 @t304 (@list @t361 @t359 @t382))) % 35.11/35.38 (step @p578 :rule symm :premises (@p577)) % 35.11/35.38 (step @p579 :rule bool-double-not-elim :args (@t357)) % 35.11/35.38 (step @p580 :rule nary_cong :premises (@p536 @p579) :args ((or @t363 (not @t358)))) % 35.11/35.38 (step @p581 :rule cnf_or_neg :args (@t363 2)) % 35.11/35.38 (step @p582 :rule eq_resolve :premises (@p581 @p580)) % 35.11/35.38 (step @p583 :rule reordering :premises (@p582) :args ((or @t357 @t363))) % 35.11/35.38 (step @p584 :rule chain_m_resolution :premises (@p583 @p534) :args (@t357 @t302 @t368)) % 35.11/35.38 (step @p585 :rule cong :premises (@p584) :args (@t319)) % 35.11/35.38 (step @p586 :rule trans :premises (@p585 @p578)) % 35.11/35.38 (step @p587 :rule cong :premises (@p586) :args (@t383)) % 35.11/35.38 (step @p588 :rule trans :premises (@p587 @p542)) % 35.11/35.38 (step @p589 :rule true_elim :premises (@p588)) % 35.11/35.38 (step @p590 :rule aci_norm :args ((= @t391 (or @t142 @t389 @t388)))) % 35.11/35.38 (step @p591 :rule cong :premises (@p590) :args (@t392)) % 35.11/35.38 (step @p592 :rule quant-merge-prenex :args ((= (forall @t9 @t394) @t392))) % 35.11/35.38 (step @p593 :rule alpha_equiv :args (@t395 (@list @t385) @t180)) % 35.11/35.38 (step @p594 :rule nary_cong :premises (@p104 @p593) :args (@t396)) % 35.11/35.38 (step @p595 :rule quant-miniscope-or :args ((= @t394 @t396))) % 35.11/35.38 (step @p596 :rule trans :premises (@p595 @p594)) % 35.11/35.38 (step @p597 :rule symm :premises (@p596)) % 35.11/35.38 (step @p598 :rule cong :premises (@p597) :args ((forall @t9 (or @t142 @t400)))) % 35.11/35.38 (step @p599 :rule trans :premises (@p598 @p592)) % 35.11/35.38 (step @p600 :rule trans :premises (@p599 @p591)) % 35.11/35.38 (step @p601 :rule bool-impl-elim :args (@t17 @t400)) % 35.11/35.38 (step @p602 :rule cong :premises (@p601) :args ((forall @t9 (=> @t17 @t400)))) % 35.11/35.38 (step @p603 :rule trans :premises (@p602 @p600)) % 35.11/35.38 (step @p604 :rule bool-impl-elim :args (@t27 @t399)) % 35.11/35.38 (step @p605 :rule cong :premises (@p604) :args ((forall @t7 (=> @t27 @t399)))) % 35.11/35.38 (step @p606 :rule aci_norm :args ((= @t402 @t398))) % 35.11/35.38 (step @p607 :rule cong :premises (@p606) :args (@t403)) % 35.11/35.38 (step @p608 :rule quant-merge-prenex :args ((= (forall @t16 @t405) @t403))) % 35.11/35.38 (step @p609 :rule alpha_equiv :args (@t406 (@list @t384) (@list @t10))) % 35.11/35.38 (step @p610 :rule nary_cong :premises (@p204 @p609) :args (@t407)) % 35.11/35.38 (step @p611 :rule quant-miniscope-or :args ((= @t405 @t407))) % 35.11/35.38 (step @p612 :rule trans :premises (@p611 @p610)) % 35.11/35.38 (step @p613 :rule symm :premises (@p612)) % 35.11/35.38 (step @p614 :rule cong :premises (@p613) :args ((forall @t16 (or @t213 @t409)))) % 35.11/35.38 (step @p615 :rule trans :premises (@p614 @p608)) % 35.11/35.38 (step @p616 :rule trans :premises (@p615 @p607)) % 35.11/35.38 (step @p617 :rule bool-double-not-elim :args (@t409)) % 35.11/35.38 (step @p618 :rule nary_cong :premises (@p204 @p617) :args ((or @t213 (not @t410)))) % 35.11/35.38 (step @p619 :rule bool-and-de-morgan :args (@t15 @t410 true)) % 35.11/35.38 (step @p620 :rule trans :premises (@p619 @p618)) % 35.11/35.38 (step @p621 :rule cong :premises (@p620) :args (@t412)) % 35.11/35.38 (step @p622 :rule trans :premises (@p621 @p616)) % 35.11/35.38 (step @p623 :rule cong :premises (@p622) :args (@t413)) % 35.11/35.38 (step @p624 :rule exists-elim :args ((= (exists @t16 @t411) @t413))) % 35.11/35.38 (step @p625 :rule trans :premises (@p624 @p623)) % 35.11/35.38 (step @p626 :rule bool-and-de-morgan :args (@t13 @t408 true)) % 35.11/35.38 (step @p627 :rule cong :premises (@p626) :args (@t415)) % 35.11/35.38 (step @p628 :rule cong :premises (@p627) :args (@t416)) % 35.11/35.38 (step @p629 :rule exists-elim :args ((= (exists @t14 @t414) @t416))) % 35.11/35.38 (step @p630 :rule trans :premises (@p629 @p628)) % 35.11/35.38 (step @p631 :rule eq-symm :args (@t30 @t2)) % 35.11/35.38 (step @p632 :rule nary_cong :premises (@p394 @p631) :args (@t31)) % 35.11/35.38 (step @p633 :rule cong :premises (@p632) :args (@t32)) % 35.11/35.38 (step @p634 :rule trans :premises (@p633 @p630)) % 35.11/35.38 (step @p635 :rule nary_cong :premises (@p398 @p634) :args (@t33)) % 35.11/35.38 (step @p636 :rule cong :premises (@p635) :args (@t34)) % 35.11/35.38 (step @p637 :rule trans :premises (@p636 @p625)) % 35.11/35.38 (step @p638 :rule refl :args (@t35)) % 35.11/35.38 (step @p639 :rule cong :premises (@p638 @p637) :args (@t36)) % 35.11/35.38 (step @p640 :rule cong :premises (@p402 @p639) :args (@t37)) % 35.11/35.38 (step @p641 :rule cong :premises (@p640) :args (@t38)) % 35.11/35.38 (step @p642 :rule trans :premises (@p641 @p605)) % 35.11/35.38 (step @p643 :rule cong :premises (@p114 @p642) :args (@t39)) % 35.11/35.38 (step @p644 :rule cong :premises (@p643) :args (@t40)) % 35.11/35.38 (step @p645 :rule trans :premises (@p644 @p603)) % 35.11/35.38 (step @p646 :rule eq_resolve :premises (@p7 @p645)) % 35.11/35.38 (step @p647 :rule instantiate :premises (@p646) :args ((@list @t157 @t289))) % 35.11/35.38 (step @p648 :rule bool-double-not-elim :args (@t299)) % 35.11/35.38 (step @p649 :rule nary_cong :premises (@p413 @p648) :args ((or @t301 (not @t300)))) % 35.11/35.38 (step @p650 :rule cnf_or_neg :args (@t301 0)) % 35.11/35.38 (step @p651 :rule eq_resolve :premises (@p650 @p649)) % 35.11/35.38 (step @p652 :rule reordering :premises (@p651) :args ((or @t299 @t301))) % 35.11/35.38 (step @p653 :rule chain_m_resolution :premises (@p652 @p411) :args (@t299 @t302 @t303)) % 35.11/35.38 (step @p654 :rule cnf_or_pos :args (@t420)) % 35.11/35.38 (step @p655 :rule reordering :premises (@p654) :args ((or @t300 @t161 @t419 (not @t420)))) % 35.11/35.38 (step @p656 :rule chain_m_resolution :premises (@p655 @p653 @p418 @p647) :args (@t419 @t304 (@list @t299 @t160 @t420))) % 35.11/35.38 (step @p657 :rule bool-impl-elim :args (@t17 @t422)) % 35.11/35.38 (step @p658 :rule cong :premises (@p657) :args ((forall @t9 (=> @t17 @t422)))) % 35.11/35.38 (step @p659 :rule bool-and-de-morgan :args (@t6 @t421 true)) % 35.11/35.38 (step @p660 :rule cong :premises (@p659) :args (@t424)) % 35.11/35.38 (step @p661 :rule cong :premises (@p660) :args (@t425)) % 35.11/35.38 (step @p662 :rule exists-elim :args ((= (exists @t7 @t423) @t425))) % 35.11/35.38 (step @p663 :rule trans :premises (@p662 @p661)) % 35.11/35.38 (step @p664 :rule eq-symm :args (@t18 @t2)) % 35.11/35.38 (step @p665 :rule nary_cong :premises (@p560 @p664) :args (@t19)) % 35.11/35.38 (step @p666 :rule cong :premises (@p665) :args (@t20)) % 35.11/35.38 (step @p667 :rule trans :premises (@p666 @p663)) % 35.11/35.38 (step @p668 :rule refl :args (@t21)) % 35.11/35.38 (step @p669 :rule cong :premises (@p668 @p667) :args (@t22)) % 35.11/35.38 (step @p670 :rule cong :premises (@p114 @p669) :args (@t23)) % 35.11/35.38 (step @p671 :rule cong :premises (@p670) :args (@t24)) % 35.11/35.38 (step @p672 :rule trans :premises (@p671 @p658)) % 35.11/35.38 (step @p673 :rule eq_resolve :premises (@p4 @p672)) % 35.11/35.38 (step @p674 :rule eq-symm :args (@t289 @t18)) % 35.11/35.38 (step @p675 :rule cong :premises (@p674) :args (@t426)) % 35.11/35.38 (step @p676 :rule refl :args (@t317)) % 35.11/35.38 (step @p677 :rule nary_cong :premises (@p676 @p675) :args (@t427)) % 35.11/35.38 (step @p678 :rule cong :premises (@p677) :args (@t428)) % 35.11/35.38 (step @p679 :rule cong :premises (@p678) :args (@t429)) % 35.11/35.38 (step @p680 :rule refl :args (@t296)) % 35.11/35.38 (step @p681 :rule cong :premises (@p680 @p679) :args (@t430)) % 35.11/35.38 (step @p682 :rule refl :args (@t300)) % 35.11/35.38 (step @p683 :rule nary_cong :premises (@p682 @p681) :args (@t431)) % 35.11/35.38 (step @p684 :rule refl :args (@t432)) % 35.11/35.38 (step @p685 :rule cong :premises (@p684 @p683) :args ((=> @t432 @t431))) % 35.11/35.38 (assume-push @p888 @t432) % 35.11/35.38 (step @p687 :rule instantiate :premises (@p673) :args (@t433)) % 35.11/35.38 (step-pop @p889 :rule scope :premises (@p687)) % 35.11/35.38 (step @p688 :rule process_scope :premises (@p889) :args (@t431)) % 35.11/35.38 (step @p690 :rule eq_resolve :premises (@p688 @p685)) % 35.11/35.38 (step @p691 :rule implies_elim :premises (@p690)) % 35.11/35.38 (step @p692 :rule chain_m_resolution :premises (@p691 @p673) :args (@t437 @t168 (@list @t432))) % 35.11/35.38 (step @p693 :rule cnf_or_pos :args (@t437)) % 35.11/35.38 (step @p694 :rule reordering :premises (@p693) :args ((or @t300 @t436 (not @t437)))) % 35.11/35.38 (step @p695 :rule chain_m_resolution :premises (@p694 @p653 @p692) :args (@t436 @t305 (@list @t299 @t437))) % 35.11/35.38 (step @p696 :rule aci_norm :args ((= @t442 (or @t142 @t440 @t439)))) % 35.11/35.38 (step @p697 :rule cong :premises (@p696) :args (@t443)) % 35.11/35.38 (step @p698 :rule quant-merge-prenex :args ((= (forall @t9 @t445) @t443))) % 35.11/35.38 (step @p699 :rule alpha_equiv :args (@t446 (@list @t438) @t180)) % 35.11/35.38 (step @p700 :rule nary_cong :premises (@p104 @p699) :args (@t447)) % 35.11/35.38 (step @p701 :rule quant-miniscope-or :args ((= @t445 @t447))) % 35.11/35.38 (step @p702 :rule trans :premises (@p701 @p700)) % 35.11/35.38 (step @p703 :rule symm :premises (@p702)) % 35.11/35.38 (step @p704 :rule cong :premises (@p703) :args ((forall @t9 (or @t142 @t448)))) % 35.11/35.38 (step @p705 :rule trans :premises (@p704 @p698)) % 35.11/35.38 (step @p706 :rule trans :premises (@p705 @p697)) % 35.11/35.38 (step @p707 :rule bool-impl-elim :args (@t17 @t448)) % 35.11/35.38 (step @p708 :rule cong :premises (@p707) :args ((forall @t9 (=> @t17 @t448)))) % 35.11/35.38 (step @p709 :rule trans :premises (@p708 @p706)) % 35.11/35.38 (step @p710 :rule bool-impl-elim :args (@t6 @t57)) % 35.11/35.38 (step @p711 :rule cong :premises (@p710) :args (@t58)) % 35.11/35.38 (step @p712 :rule cong :premises (@p114 @p711) :args (@t59)) % 35.11/35.38 (step @p713 :rule cong :premises (@p712) :args (@t60)) % 35.11/35.38 (step @p714 :rule trans :premises (@p713 @p709)) % 35.11/35.38 (step @p715 :rule eq_resolve :premises (@p16 @p714)) % 35.11/35.38 (step @p716 :rule instantiate :premises (@p715) :args ((@list tptp.nil @t158))) % 35.11/35.38 (step @p717 :rule cnf_or_pos :args (@t450)) % 35.11/35.38 (step @p718 :rule reordering :premises (@p717) :args ((or @t187 @t292 @t449 (not @t450)))) % 35.11/35.38 (step @p719 :rule chain_m_resolution :premises (@p718 @p17 @p433 @p716) :args (@t292 @t304 (@list @t61 @t159 @t450))) % 35.11/35.38 (step @p720 :rule instantiate :premises (@p151) :args ((@list tptp.nil @t157))) % 35.11/35.38 (step @p721 :rule cnf_or_pos :args (@t452)) % 35.11/35.38 (step @p722 :rule reordering :premises (@p721) :args ((or @t187 @t161 @t451 (not @t452)))) % 35.11/35.38 (step @p723 :rule chain_m_resolution :premises (@p722 @p17 @p418 @p720) :args (@t451 @t304 (@list @t61 @t160 @t452))) % 35.11/35.38 (step @p724 :rule bool-double-not-elim :args (@t166)) % 35.11/35.38 (step @p725 :rule refl :args (@t293)) % 35.11/35.38 (step @p726 :rule refl :args (@t453)) % 35.11/35.38 (step @p727 :rule nary_cong :premises (@p726 @p725 @p724) :args ((or @t453 @t293 (not @t190)))) % 35.11/35.38 (step @p728 :rule cnf_equiv_pos2 :args (@t451)) % 35.11/35.38 (step @p729 :rule eq_resolve :premises (@p728 @p727)) % 35.11/35.38 (step @p730 :rule reordering :premises (@p729) :args ((or @t293 @t166 @t453))) % 35.11/35.38 (step @p731 :rule chain_m_resolution :premises (@p730 @p430 @p723) :args (@t293 @t454 (@list @t166 @t451))) % 35.11/35.38 (step @p732 :rule cnf_or_neg :args (@t301 4)) % 35.11/35.38 (step @p733 :rule chain_m_resolution :premises (@p732 @p411) :args ((not @t294) @t302 @t303)) % 35.11/35.38 (step @p734 :rule bool-double-not-elim :args (@t290)) % 35.11/35.38 (step @p735 :rule refl :args (@t455)) % 35.11/35.38 (step @p736 :rule refl :args (@t449)) % 35.11/35.38 (step @p737 :rule refl :args (@t456)) % 35.11/35.38 (step @p738 :rule refl :args (@t294)) % 35.11/35.38 (step @p739 :rule nary_cong :premises (@p738 @p737 @p736 @p735 @p734) :args ((or @t294 @t456 @t449 @t455 (not @t291)))) % 35.11/35.38 (step @p740 :rule cnf_and_neg :args (@t294)) % 35.11/35.38 (step @p741 :rule eq_resolve :premises (@p740 @p739)) % 35.11/35.38 (step @p742 :rule reordering :premises (@p741) :args ((or @t290 @t294 @t456 @t449 @t455))) % 35.11/35.38 (step @p743 :rule chain_m_resolution :premises (@p742 @p733 @p731 @p433 @p719) :args (@t290 @t457 (@list @t294 @t293 @t159 @t292))) % 35.11/35.38 (step @p744 :rule cnf_or_pos :args (@t458)) % 35.11/35.38 (step @p745 :rule reordering :premises (@p744) :args ((or @t291 @t449 @t459))) % 35.11/35.38 (step @p746 :rule chain_m_resolution :premises (@p745 @p743 @p433) :args (@t459 @t305 (@list @t290 @t159))) % 35.11/35.38 (step @p747 :rule eq-symm :args (@t288 @t289)) % 35.11/35.38 (step @p748 :rule cong :premises (@p747) :args (@t460)) % 35.11/35.38 (step @p749 :rule nary_cong :premises (@p736 @p748) :args (@t461)) % 35.11/35.38 (step @p750 :rule refl :args (@t434)) % 35.11/35.38 (step @p751 :rule cong :premises (@p750 @p749) :args ((=> @t434 @t461))) % 35.11/35.38 (assume-push @p890 @t434) % 35.11/35.38 (step @p753 :rule instantiate :premises (@p890) :args ((@list @t158))) % 35.11/35.38 (step-pop @p891 :rule scope :premises (@p753)) % 35.11/35.38 (step @p754 :rule process_scope :premises (@p891) :args (@t461)) % 35.11/35.38 (step @p756 :rule eq_resolve :premises (@p754 @p751)) % 35.11/35.38 (step @p757 :rule implies_elim :premises (@p756)) % 35.11/35.38 (step @p758 :rule chain_m_resolution :premises (@p757 @p746) :args (@t435 @t302 (@list @t458))) % 35.11/35.38 (step @p759 :rule bool-double-not-elim :args (@t434)) % 35.11/35.38 (step @p760 :rule refl :args (@t462)) % 35.11/35.38 (step @p761 :rule nary_cong :premises (@p760 @p680 @p759) :args ((or @t462 @t296 (not @t435)))) % 35.11/35.38 (step @p762 :rule cnf_equiv_pos2 :args (@t436)) % 35.11/35.38 (step @p763 :rule eq_resolve :premises (@p762 @p761)) % 35.11/35.38 (step @p764 :rule reordering :premises (@p763) :args ((or @t296 @t434 @t462))) % 35.11/35.38 (step @p765 :rule chain_m_resolution :premises (@p764 @p758 @p695) :args (@t296 @t454 (@list @t434 @t436))) % 35.11/35.38 (step @p766 :rule cnf_or_neg :args (@t301 3)) % 35.11/35.38 (step @p767 :rule chain_m_resolution :premises (@p766 @p411) :args ((not @t297) @t302 @t303)) % 35.11/35.38 (step @p768 :rule cnf_and_neg :args (@t297)) % 35.11/35.38 (step @p769 :rule chain_m_resolution :premises (@p768 @p767 @p765) :args ((not @t295) @t454 (@list @t297 @t296))) % 35.11/35.38 (step @p770 :rule bool-double-not-elim :args (@t417)) % 35.11/35.38 (step @p771 :rule refl :args (@t295)) % 35.11/35.38 (step @p772 :rule refl :args (@t463)) % 35.11/35.38 (step @p773 :rule nary_cong :premises (@p772 @p771 @p770) :args ((or @t463 @t295 (not @t418)))) % 35.11/35.38 (step @p774 :rule cnf_equiv_pos2 :args (@t419)) % 35.11/35.38 (step @p775 :rule eq_resolve :premises (@p774 @p773)) % 35.11/35.38 (step @p776 :rule reordering :premises (@p775) :args ((or @t295 @t417 @t463))) % 35.11/35.38 (step @p777 :rule chain_m_resolution :premises (@p776 @p769 @p656) :args (@t417 @t454 (@list @t295 @t419))) % 35.11/35.38 (assume-push @p892 @t417) % 35.11/35.38 (step @p779 :rule instantiate :premises (@p892) :args ((@list tptp.nil @t354))) % 35.11/35.38 (step-pop @p893 :rule scope :premises (@p779)) % 35.11/35.38 (step @p780 :rule process_scope :premises (@p893) :args (@t467)) % 35.11/35.38 (step @p782 :rule implies_elim :premises (@p780)) % 35.11/35.38 (step @p783 :rule chain_m_resolution :premises (@p782 @p777) :args (@t467 @t168 (@list @t417))) % 35.11/35.38 (step @p784 :rule cnf_or_pos :args (@t467)) % 35.11/35.38 (step @p785 :rule reordering :premises (@p784) :args ((or @t187 @t362 @t466 (not @t467)))) % 35.11/35.38 (step @p786 :rule chain_m_resolution :premises (@p785 @p17 @p541 @p783) :args (@t466 @t304 (@list @t61 @t361 @t467))) % 35.11/35.38 (step @p787 :rule aci_norm :args ((= (or @t142 (or @t141 @t468)) @t469))) % 35.11/35.38 (step @p788 :rule refl :args (@t468)) % 35.11/35.38 (step @p789 :rule nary_cong :premises (@p100 @p788) :args ((or @t145 @t468))) % 35.11/35.38 (step @p790 :rule bool-impl-elim :args (@t144 @t468)) % 35.11/35.38 (step @p791 :rule trans :premises (@p790 @p789)) % 35.11/35.38 (step @p792 :rule nary_cong :premises (@p104 @p791) :args ((or @t142 @t470))) % 35.11/35.38 (step @p793 :rule trans :premises (@p792 @p787)) % 35.11/35.38 (step @p794 :rule bool-impl-elim :args (@t17 @t470)) % 35.11/35.38 (step @p795 :rule trans :premises (@p794 @p793)) % 35.11/35.38 (step @p796 :rule cong :premises (@p795) :args ((forall @t9 (=> @t17 @t470)))) % 35.11/35.38 (step @p797 :rule eq-symm :args (@t104 @t2)) % 35.11/35.38 (step @p798 :rule cong :premises (@p112 @p797) :args (@t105)) % 35.11/35.38 (step @p799 :rule cong :premises (@p114 @p798) :args (@t106)) % 35.11/35.38 (step @p800 :rule cong :premises (@p799) :args (@t107)) % 35.11/35.38 (step @p801 :rule trans :premises (@p800 @p796)) % 35.11/35.38 (step @p802 :rule eq_resolve :premises (@p78 @p801)) % 35.11/35.38 (step @p803 :rule refl :args (@t472)) % 35.11/35.38 (step @p804 :rule nary_cong :premises (@p121 @p120 @p803) :args (@t473)) % 35.11/35.38 (step @p805 :rule refl :args (@t474)) % 35.11/35.38 (step @p806 :rule cong :premises (@p805 @p804) :args ((=> @t474 @t473))) % 35.11/35.38 (assume-push @p894 @t474) % 35.11/35.38 (step @p808 :rule instantiate :premises (@p802) :args (@t165)) % 35.11/35.38 (step-pop @p895 :rule scope :premises (@p808)) % 35.11/35.38 (step @p809 :rule process_scope :premises (@p895) :args (@t473)) % 35.11/35.38 (step @p811 :rule eq_resolve :premises (@p809 @p806)) % 35.11/35.38 (step @p812 :rule implies_elim :premises (@p811)) % 35.11/35.38 (step @p813 :rule chain_m_resolution :premises (@p812 @p802) :args (@t475 @t168 (@list @t474))) % 35.11/35.38 (step @p814 :rule cnf_or_pos :args (@t475)) % 35.11/35.38 (step @p815 :rule reordering :premises (@p814) :args ((or @t161 @t166 @t472 (not @t475)))) % 35.11/35.38 (step @p816 :rule chain_m_resolution :premises (@p815 @p418 @p430 @p813) :args (@t472 @t306 (@list @t160 @t166 @t475))) % 35.11/35.38 (step @p817 :rule bool-impl-elim :args (@t17 @t476)) % 35.11/35.38 (step @p818 :rule cong :premises (@p817) :args ((forall @t9 (=> @t17 @t476)))) % 35.11/35.38 (step @p819 :rule eq-symm :args (@t86 @t2)) % 35.11/35.38 (step @p820 :rule cong :premises (@p114 @p819) :args (@t87)) % 35.11/35.38 (step @p821 :rule cong :premises (@p820) :args (@t88)) % 35.11/35.38 (step @p822 :rule trans :premises (@p821 @p818)) % 35.11/35.38 (step @p823 :rule eq_resolve :premises (@p28 @p822)) % 35.11/35.38 (step @p824 :rule instantiate :premises (@p823) :args (@t433)) % 35.11/35.38 (step @p825 :rule cnf_or_pos :args (@t478)) % 35.11/35.38 (step @p826 :rule reordering :premises (@p825) :args ((or @t300 @t477 (not @t478)))) % 35.11/35.38 (step @p827 :rule chain_m_resolution :premises (@p826 @p653 @p824) :args (@t477 @t305 (@list @t299 @t478))) % 35.11/35.38 (step @p828 :rule refl :args (@t481)) % 35.11/35.38 (step @p829 :rule bool-double-not-elim :args (@t465)) % 35.11/35.38 (step @p830 :rule refl :args (@t482)) % 35.11/35.38 (step @p831 :rule refl :args (@t358)) % 35.11/35.38 (step @p832 :rule refl :args (@t483)) % 35.11/35.38 (step @p833 :rule refl :args (@t484)) % 35.11/35.38 (step @p834 :rule refl :args (@t291)) % 35.11/35.38 (step @p835 :rule nary_cong :premises (@p834 @p833 @p832 @p831 @p830 @p829 @p828) :args ((or @t291 @t484 @t483 @t358 @t482 (not @t466) @t481))) % 35.11/35.38 (assume-push @p896 @t290) % 35.11/35.38 (assume-push @p897 @t477) % 35.11/35.38 (assume-push @p898 @t472) % 35.11/35.38 (assume-push @p899 @t357) % 35.11/35.38 (assume-push @p900 @t381) % 35.11/35.38 (assume-push @p901 @t466) % 35.11/35.38 (assume-push @p902 @t466) % 35.11/35.38 (assume-push @p903 @t472) % 35.11/35.38 (assume-push @p904 @t477) % 35.11/35.38 (assume-push @p905 @t290) % 35.11/35.38 (assume-push @p906 @t381) % 35.11/35.38 (assume-push @p907 @t357) % 35.11/35.38 (step @p848 :rule false_intro :premises (@p901)) % 35.11/35.38 (step @p849 :rule symm :premises (@p743)) % 35.11/35.38 (step @p850 :rule trans :premises (@p849 @p827)) % 35.11/35.38 (step @p851 :rule cong :premises (@p850 @p586) :args (@t479)) % 35.11/35.38 (step @p852 :rule symm :premises (@p816)) % 35.11/35.38 (step @p853 :rule cong :premises (@p852 @p851) :args (@t480)) % 35.11/35.38 (step @p854 :rule trans :premises (@p853 @p848)) % 35.11/35.38 (step @p855 :rule false_elim :premises (@p854)) % 35.11/35.38 (step-pop @p908 :rule scope :premises (@p855)) % 35.11/35.38 (step-pop @p909 :rule scope :premises (@p908)) % 35.11/35.38 (step-pop @p910 :rule scope :premises (@p909)) % 35.11/35.38 (step-pop @p911 :rule scope :premises (@p910)) % 35.11/35.38 (step-pop @p912 :rule scope :premises (@p911)) % 35.11/35.38 (step-pop @p913 :rule scope :premises (@p912)) % 35.11/35.38 (step @p856 :rule process_scope :premises (@p913) :args (@t481)) % 35.11/35.38 (step @p863 :rule and_intro :premises (@p901 @p816 @p827 @p743 @p577 @p584)) % 35.11/35.38 (step @p864 :rule modus_ponens :premises (@p863 @p856)) % 35.11/35.38 (step-pop @p914 :rule scope :premises (@p864)) % 35.11/35.38 (step-pop @p915 :rule scope :premises (@p914)) % 35.11/35.38 (step-pop @p916 :rule scope :premises (@p915)) % 35.11/35.38 (step-pop @p917 :rule scope :premises (@p916)) % 35.11/35.38 (step-pop @p918 :rule scope :premises (@p917)) % 35.11/35.38 (step-pop @p919 :rule scope :premises (@p918)) % 35.11/35.38 (step @p865 :rule process_scope :premises (@p919) :args (@t481)) % 35.11/35.38 (step @p872 :rule implies_elim :premises (@p865)) % 35.11/35.38 (step @p873 :rule cnf_and_neg :args (@t485)) % 35.11/35.38 (step @p874 :rule resolution :premises (@p873 @p872) :args (true @t485)) % 35.11/35.38 (step @p875 :rule eq_resolve :premises (@p874 @p835)) % 35.11/35.38 (step @p876 :rule chain_m_resolution :premises (@p875 @p743 @p827 @p816 @p584 @p577 @p786) :args (@t481 (@list false false false false false true) (@list @t290 @t477 @t472 @t357 @t381 @t465))) % 35.11/35.38 (step @p877 :rule cnf_or_pos :args (@t487)) % 35.11/35.38 (step @p878 :rule reordering :premises (@p877) :args ((or @t449 @t486 @t480 (not @t487)))) % 35.11/35.38 (step @p879 false :rule chain_m_resolution :premises (@p878 @p876 @p589 @p454 @p433) :args (false @t457 (@list @t480 @t383 @t487 @t159))) % 35.11/35.38 ) % 35.11/35.38 % SZS output end Proof % 35.11/35.38 % cvc5 exiting %------------------------------------------------------------------------------