%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC252+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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:36 AM UTC 2026 % Result : Theorem 35.44s 35.68s % Output : Proof 35.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC252+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:32:26 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 35.44/35.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.44/35.68 --- Run --no-e-matching --full-saturate-quant at 6... % 35.44/35.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.44/35.68 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.44/35.68 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.44/35.68 % SZS status Theorem % 35.44/35.68 % SZS output start Proof % 35.44/35.68 ( % 35.44/35.68 (declare-sort $$unsorted 0) % 35.44/35.68 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 35.44/35.68 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 35.44/35.68 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 35.44/35.68 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 35.44/35.68 (declare-const tptp.nil $$unsorted) % 35.44/35.68 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.ssList (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 35.44/35.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 35.44/35.68 (define @t1 () (@var "V" $$unsorted)) % 35.44/35.68 (define @t2 () (@var "U" $$unsorted)) % 35.44/35.68 (define @t3 () (= @t2 @t1)) % 35.44/35.68 (define @t4 () (not @t3)) % 35.44/35.68 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 35.44/35.68 (define @t6 () (tptp.ssItem @t1)) % 35.44/35.68 (define @t7 () (@list @t1)) % 35.44/35.68 (define @t8 () (tptp.ssItem @t2)) % 35.44/35.68 (define @t9 () (@list @t2)) % 35.44/35.68 (define @t10 () (@var "X" $$unsorted)) % 35.44/35.68 (define @t11 () (tptp.cons @t1 @t10)) % 35.44/35.68 (define @t12 () (@var "W" $$unsorted)) % 35.44/35.68 (define @t13 () (tptp.ssList @t10)) % 35.44/35.68 (define @t14 () (@list @t10)) % 35.44/35.68 (define @t15 () (tptp.ssList @t12)) % 35.44/35.68 (define @t16 () (@list @t12)) % 35.44/35.68 (define @t17 () (tptp.ssList @t2)) % 35.44/35.68 (define @t18 () (tptp.cons @t1 tptp.nil)) % 35.44/35.68 (define @t19 () (tptp.app @t1 @t12)) % 35.44/35.68 (define @t20 () (tptp.frontsegP @t2 @t1)) % 35.44/35.68 (define @t21 () (tptp.ssList @t1)) % 35.44/35.68 (define @t22 () (tptp.app @t12 @t1)) % 35.44/35.68 (define @t23 () (tptp.rearsegP @t2 @t1)) % 35.44/35.68 (define @t24 () (tptp.app @t22 @t10)) % 35.44/35.68 (define @t25 () (and @t13 (= @t24 @t2))) % 35.44/35.68 (define @t26 () (exists @t14 @t25)) % 35.44/35.68 (define @t27 () (and @t15 @t26)) % 35.44/35.68 (define @t28 () (exists @t16 @t27)) % 35.44/35.68 (define @t29 () (tptp.segmentP @t2 @t1)) % 35.44/35.68 (define @t30 () (= @t29 @t28)) % 35.44/35.68 (define @t31 () (=> @t21 @t30)) % 35.44/35.68 (define @t32 () (forall @t7 @t31)) % 35.44/35.68 (define @t33 () (=> @t17 @t32)) % 35.44/35.68 (define @t34 () (forall @t9 @t33)) % 35.44/35.68 (define @t35 () (tptp.leq @t12 @t1)) % 35.44/35.68 (define @t36 () (tptp.leq @t1 @t12)) % 35.44/35.68 (define @t37 () (@var "Z" $$unsorted)) % 35.44/35.68 (define @t38 () (@var "Y" $$unsorted)) % 35.44/35.68 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 35.44/35.68 (define @t40 () (tptp.ssList @t37)) % 35.44/35.68 (define @t41 () (@list @t37)) % 35.44/35.68 (define @t42 () (tptp.ssList @t38)) % 35.44/35.68 (define @t43 () (@list @t38)) % 35.44/35.68 (define @t44 () (tptp.ssItem @t12)) % 35.44/35.68 (define @t45 () (tptp.lt @t1 @t12)) % 35.44/35.68 (define @t46 () (= @t1 @t12)) % 35.44/35.68 (define @t47 () (tptp.cons @t1 @t2)) % 35.44/35.68 (define @t48 () (= @t1 @t2)) % 35.44/35.68 (define @t49 () (tptp.cons @t12 @t1)) % 35.44/35.68 (define @t50 () (= tptp.nil @t2)) % 35.44/35.68 (define @t51 () (tptp.hd @t2)) % 35.44/35.68 (define @t52 () (not @t50)) % 35.44/35.68 (define @t53 () (tptp.tl @t2)) % 35.44/35.68 (define @t54 () (tptp.app @t2 @t1)) % 35.44/35.68 (define @t55 () (tptp.app @t1 @t2)) % 35.44/35.68 (define @t56 () (tptp.leq @t1 @t2)) % 35.44/35.68 (define @t57 () (tptp.leq @t2 @t1)) % 35.44/35.68 (define @t58 () (tptp.geq @t2 @t1)) % 35.44/35.68 (define @t59 () (tptp.lt @t1 @t2)) % 35.44/35.68 (define @t60 () (tptp.lt @t2 @t1)) % 35.44/35.68 (define @t61 () (tptp.lt @t2 @t12)) % 35.44/35.68 (define @t62 () (tptp.gt @t2 @t1)) % 35.44/35.68 (define @t63 () (tptp.memberP @t12 @t2)) % 35.44/35.68 (define @t64 () (tptp.app @t12 @t2)) % 35.44/35.68 (define @t65 () (tptp.segmentP @t2 @t2)) % 35.44/35.68 (define @t66 () (forall @t9 (=> @t17 @t65))) % 35.44/35.68 (define @t67 () (tptp.cons @t2 tptp.nil)) % 35.44/35.68 (define @t68 () (tptp.hd @t1)) % 35.44/35.68 (define @t69 () (= tptp.nil @t1)) % 35.44/35.68 (define @t70 () (not @t69)) % 35.44/35.68 (define @t71 () (tptp.cons @t2 @t1)) % 35.44/35.68 (define @t72 () (= @t12 @t2)) % 35.44/35.68 (define @t73 () (= @t60 (and @t4 @t57))) % 35.44/35.68 (define @t74 () (forall @t7 (=> @t6 @t73))) % 35.44/35.68 (define @t75 () (=> @t8 @t74)) % 35.44/35.68 (define @t76 () (forall @t9 @t75)) % 35.44/35.68 (define @t77 () (not (= tptp.nil @t12))) % 35.44/35.68 (define @t78 () (not (= tptp.nil @t10))) % 35.44/35.68 (define @t79 () (or @t78 @t77)) % 35.44/35.68 (define @t80 () (@var "X3" $$unsorted)) % 35.44/35.68 (define @t81 () (not (tptp.memberP @t10 @t80))) % 35.44/35.68 (define @t82 () (tptp.cons @t80 tptp.nil)) % 35.44/35.68 (define @t83 () (not (= @t82 @t12))) % 35.44/35.68 (define @t84 () (or @t83 @t81)) % 35.44/35.68 (define @t85 () (tptp.ssItem @t80)) % 35.44/35.68 (define @t86 () (=> @t85 @t84)) % 35.44/35.68 (define @t87 () (@list @t80)) % 35.44/35.68 (define @t88 () (forall @t87 @t86)) % 35.44/35.68 (define @t89 () (and @t88 @t79)) % 35.44/35.68 (define @t90 () (@var "X2" $$unsorted)) % 35.44/35.68 (define @t91 () (tptp.leq @t38 @t90)) % 35.44/35.68 (define @t92 () (not (tptp.lt @t38 @t90))) % 35.44/35.68 (define @t93 () (@var "X1" $$unsorted)) % 35.44/35.68 (define @t94 () (not (tptp.memberP @t93 @t90))) % 35.44/35.68 (define @t95 () (not (tptp.memberP @t37 @t90))) % 35.44/35.68 (define @t96 () (or @t95 @t94 @t92 @t91)) % 35.44/35.68 (define @t97 () (tptp.ssItem @t90)) % 35.44/35.68 (define @t98 () (@list @t90)) % 35.44/35.68 (define @t99 () (forall @t98 (=> @t97 @t96))) % 35.44/35.68 (define @t100 () (tptp.cons @t38 tptp.nil)) % 35.44/35.68 (define @t101 () (tptp.app @t37 @t100)) % 35.44/35.68 (define @t102 () (tptp.app @t101 @t93)) % 35.44/35.68 (define @t103 () (tptp.ssList @t93)) % 35.44/35.68 (define @t104 () (and @t103 (= @t102 @t2) @t99)) % 35.44/35.68 (define @t105 () (@list @t93)) % 35.44/35.68 (define @t106 () (exists @t105 @t104)) % 35.44/35.68 (define @t107 () (and @t40 @t106)) % 35.44/35.68 (define @t108 () (exists @t41 @t107)) % 35.44/35.68 (define @t109 () (tptp.ssItem @t38)) % 35.44/35.68 (define @t110 () (and @t109 @t108)) % 35.44/35.68 (define @t111 () (exists @t43 @t110)) % 35.44/35.68 (define @t112 () (not (= @t2 @t12))) % 35.44/35.68 (define @t113 () (not (= @t1 @t10))) % 35.44/35.68 (define @t114 () (or @t113 @t112 @t50 @t111 @t89)) % 35.44/35.68 (define @t115 () (=> @t13 @t114)) % 35.44/35.68 (define @t116 () (forall @t14 @t115)) % 35.44/35.68 (define @t117 () (=> @t15 @t116)) % 35.44/35.68 (define @t118 () (forall @t16 @t117)) % 35.44/35.68 (define @t119 () (=> @t21 @t118)) % 35.44/35.68 (define @t120 () (forall @t7 @t119)) % 35.44/35.68 (define @t121 () (=> @t17 @t120)) % 35.44/35.68 (define @t122 () (forall @t9 @t121)) % 35.44/35.68 (define @t123 () (not @t122)) % 35.44/35.68 (define @t124 () (= @t2 tptp.nil)) % 35.44/35.68 (define @t125 () (not @t124)) % 35.44/35.68 (define @t126 () (@var "BOUND_VARIABLE_11176" $$unsorted)) % 35.44/35.68 (define @t127 () (not (= @t126 tptp.nil))) % 35.44/35.68 (define @t128 () (or @t127 @t125)) % 35.44/35.68 (define @t129 () (@var "BOUND_VARIABLE_11178" $$unsorted)) % 35.44/35.68 (define @t130 () (or (not (tptp.ssItem @t129)) (not (= @t2 (tptp.cons @t129 tptp.nil))) (not (tptp.memberP @t126 @t129)))) % 35.44/35.68 (define @t131 () (and @t130 @t128)) % 35.44/35.68 (define @t132 () (not (tptp.ssList @t126))) % 35.44/35.68 (define @t133 () (@var "BOUND_VARIABLE_11005" $$unsorted)) % 35.44/35.68 (define @t134 () (@var "BOUND_VARIABLE_11003" $$unsorted)) % 35.44/35.68 (define @t135 () (not @t97)) % 35.44/35.68 (define @t136 () (not (forall @t98 (or @t135 (not (tptp.memberP @t134 @t90)) (not (tptp.memberP @t133 @t90)) @t92 @t91)))) % 35.44/35.68 (define @t137 () (tptp.app (tptp.app @t134 @t100) @t133)) % 35.44/35.68 (define @t138 () (not (= @t2 @t137))) % 35.44/35.68 (define @t139 () (not (tptp.ssList @t133))) % 35.44/35.68 (define @t140 () (not (tptp.ssList @t134))) % 35.44/35.68 (define @t141 () (not @t109)) % 35.44/35.68 (define @t142 () (or @t141 @t140 @t139 @t138 @t136)) % 35.44/35.68 (define @t143 () (@list @t38 @t134 @t133)) % 35.44/35.68 (define @t144 () (not (forall @t143 @t142))) % 35.44/35.68 (define @t145 () (not @t17)) % 35.44/35.68 (define @t146 () (or @t145 @t124 @t144 @t132 @t131)) % 35.44/35.68 (define @t147 () (or @t132 @t131)) % 35.44/35.68 (define @t148 () (or @t145 @t124 @t144 @t147)) % 35.44/35.68 (define @t149 () (@list @t2 @t126 @t129)) % 35.44/35.68 (define @t150 () (forall @t149 @t148)) % 35.44/35.68 (define @t151 () (@list @t126 @t129)) % 35.44/35.68 (define @t152 () (forall @t151 @t148)) % 35.44/35.68 (define @t153 () (forall @t151 @t147)) % 35.44/35.68 (define @t154 () (@var "BOUND_VARIABLE_11157" $$unsorted)) % 35.44/35.68 (define @t155 () (or @t145 @t124 @t144 @t153)) % 35.44/35.68 (define @t156 () (not (= @t1 tptp.nil))) % 35.44/35.68 (define @t157 () (or @t156 @t125)) % 35.44/35.68 (define @t158 () (or (not (tptp.ssItem @t154)) (not (= @t2 (tptp.cons @t154 tptp.nil))) (not (tptp.memberP @t1 @t154)))) % 35.44/35.68 (define @t159 () (and @t158 @t157)) % 35.44/35.68 (define @t160 () (not @t21)) % 35.44/35.68 (define @t161 () (or @t160 @t159)) % 35.44/35.68 (define @t162 () (forall (@list @t1 @t154) @t161)) % 35.44/35.68 (define @t163 () (or @t145 @t124 @t144 @t162)) % 35.44/35.68 (define @t164 () (or @t124 @t144 @t145 @t162)) % 35.44/35.68 (define @t165 () (@list @t154)) % 35.44/35.68 (define @t166 () (forall @t165 @t161)) % 35.44/35.68 (define @t167 () (forall @t165 @t157)) % 35.44/35.68 (define @t168 () (forall @t165 @t158)) % 35.44/35.68 (define @t169 () (@var "BOUND_VARIABLE_11132" $$unsorted)) % 35.44/35.68 (define @t170 () (@list @t169)) % 35.44/35.68 (define @t171 () (and @t168 @t167)) % 35.44/35.68 (define @t172 () (forall @t165 @t159)) % 35.44/35.68 (define @t173 () (or @t160 @t172)) % 35.44/35.68 (define @t174 () (and (forall (@list @t169) (or (not (tptp.ssItem @t169)) (not (= @t2 (tptp.cons @t169 tptp.nil))) (not (tptp.memberP @t1 @t169)))) @t157)) % 35.44/35.68 (define @t175 () (or @t160 @t174)) % 35.44/35.68 (define @t176 () (forall @t7 @t175)) % 35.44/35.68 (define @t177 () (or @t124 @t144 @t145 @t176)) % 35.44/35.68 (define @t178 () (or @t124 @t144 @t145 @t175)) % 35.44/35.68 (define @t179 () (or @t160 @t124 @t144 @t145 @t174)) % 35.44/35.68 (define @t180 () (or @t124 @t144 @t160 @t145 @t174)) % 35.44/35.68 (define @t181 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 35.44/35.68 (define @t182 () (@list @t181)) % 35.44/35.68 (define @t183 () (forall @t182 @t157)) % 35.44/35.68 (define @t184 () (not (tptp.memberP @t1 @t181))) % 35.44/35.68 (define @t185 () (tptp.cons @t181 tptp.nil)) % 35.44/35.68 (define @t186 () (not (tptp.ssItem @t181))) % 35.44/35.68 (define @t187 () (or @t186 (not (= @t2 @t185)) @t184)) % 35.44/35.68 (define @t188 () (forall @t182 @t187)) % 35.44/35.68 (define @t189 () (@list @t181)) % 35.44/35.68 (define @t190 () (and @t188 @t183)) % 35.44/35.68 (define @t191 () (and @t187 @t157)) % 35.44/35.68 (define @t192 () (forall @t182 @t191)) % 35.44/35.68 (define @t193 () (or @t145 @t192)) % 35.44/35.68 (define @t194 () (or @t145 @t191)) % 35.44/35.68 (define @t195 () (not (= @t2 @t2))) % 35.44/35.68 (define @t196 () (or @t145 @t195 @t191)) % 35.44/35.68 (define @t197 () (not (= @t12 tptp.nil))) % 35.44/35.68 (define @t198 () (or @t156 @t197)) % 35.44/35.68 (define @t199 () (or @t186 (not (= @t12 @t185)) @t184)) % 35.44/35.68 (define @t200 () (and @t199 @t198)) % 35.44/35.68 (define @t201 () (not @t15)) % 35.44/35.68 (define @t202 () (or @t112 @t201 @t112 @t200)) % 35.44/35.68 (define @t203 () (or @t201 @t112 @t200)) % 35.44/35.68 (define @t204 () (forall @t16 @t203)) % 35.44/35.68 (define @t205 () (forall @t182 @t204)) % 35.44/35.68 (define @t206 () (forall (@list @t181 @t12) @t203)) % 35.44/35.68 (define @t207 () (forall (@list @t12 @t181) @t203)) % 35.44/35.68 (define @t208 () (forall @t182 @t203)) % 35.44/35.68 (define @t209 () (forall @t182 @t198)) % 35.44/35.68 (define @t210 () (forall @t182 @t199)) % 35.44/35.68 (define @t211 () (@var "BOUND_VARIABLE_11078" $$unsorted)) % 35.44/35.68 (define @t212 () (@list @t211)) % 35.44/35.68 (define @t213 () (and @t210 @t209)) % 35.44/35.68 (define @t214 () (forall @t182 @t200)) % 35.44/35.68 (define @t215 () (or @t201 @t112 @t214)) % 35.44/35.68 (define @t216 () (and (forall (@list @t211) (or (not (tptp.ssItem @t211)) (not (= @t12 (tptp.cons @t211 tptp.nil))) (not (tptp.memberP @t1 @t211)))) @t198)) % 35.44/35.68 (define @t217 () (or @t201 @t112 @t216)) % 35.44/35.68 (define @t218 () (forall @t16 @t217)) % 35.44/35.68 (define @t219 () (or @t124 @t144 @t160 @t218)) % 35.44/35.68 (define @t220 () (or @t124 @t144 @t160 @t217)) % 35.44/35.68 (define @t221 () (or @t201 @t112 @t124 @t144 @t160 @t216)) % 35.44/35.68 (define @t222 () (or @t112 @t124 @t144 @t160 @t216)) % 35.44/35.68 (define @t223 () (@var "BOUND_VARIABLE_11051" $$unsorted)) % 35.44/35.68 (define @t224 () (@list @t223)) % 35.44/35.68 (define @t225 () (forall @t224 @t198)) % 35.44/35.68 (define @t226 () (not (= @t12 (tptp.cons @t223 tptp.nil)))) % 35.44/35.68 (define @t227 () (not (tptp.ssItem @t223))) % 35.44/35.68 (define @t228 () (or @t227 @t226 (not (tptp.memberP @t1 @t223)))) % 35.44/35.68 (define @t229 () (forall @t224 @t228)) % 35.44/35.68 (define @t230 () (@list @t223)) % 35.44/35.68 (define @t231 () (and @t229 @t225)) % 35.44/35.68 (define @t232 () (and @t228 @t198)) % 35.44/35.68 (define @t233 () (forall @t224 @t232)) % 35.44/35.68 (define @t234 () (or @t160 @t233)) % 35.44/35.68 (define @t235 () (or @t160 @t232)) % 35.44/35.68 (define @t236 () (not (= @t1 @t1))) % 35.44/35.68 (define @t237 () (or @t160 @t236 @t232)) % 35.44/35.68 (define @t238 () (or (not (= @t10 tptp.nil)) @t197)) % 35.44/35.68 (define @t239 () (or @t227 @t226 (not (tptp.memberP @t10 @t223)))) % 35.44/35.68 (define @t240 () (and @t239 @t238)) % 35.44/35.68 (define @t241 () (not @t13)) % 35.44/35.68 (define @t242 () (or @t113 @t241 @t113 @t240)) % 35.44/35.68 (define @t243 () (or @t241 @t113 @t240)) % 35.44/35.68 (define @t244 () (forall @t14 @t243)) % 35.44/35.68 (define @t245 () (forall @t224 @t244)) % 35.44/35.68 (define @t246 () (forall (@list @t223 @t10) @t243)) % 35.44/35.68 (define @t247 () (forall (@list @t10 @t223) @t243)) % 35.44/35.68 (define @t248 () (forall @t224 @t243)) % 35.44/35.68 (define @t249 () (forall @t224 @t238)) % 35.44/35.68 (define @t250 () (forall @t224 @t239)) % 35.44/35.68 (define @t251 () (and @t250 @t249)) % 35.44/35.68 (define @t252 () (forall @t224 @t240)) % 35.44/35.68 (define @t253 () (or @t241 @t113 @t252)) % 35.44/35.68 (define @t254 () (not (= @t12 @t82))) % 35.44/35.68 (define @t255 () (not @t85)) % 35.44/35.68 (define @t256 () (or @t255 @t254 @t81)) % 35.44/35.68 (define @t257 () (and (forall @t87 @t256) @t238)) % 35.44/35.68 (define @t258 () (or @t241 @t113 @t257)) % 35.44/35.68 (define @t259 () (forall @t14 @t258)) % 35.44/35.68 (define @t260 () (or @t112 @t124 @t144 @t259)) % 35.44/35.68 (define @t261 () (or @t112 @t124 @t144 @t258)) % 35.44/35.68 (define @t262 () (or @t241 @t113 @t112 @t124 @t144 @t257)) % 35.44/35.68 (define @t263 () (or @t113 @t112 @t124 @t144 @t257)) % 35.44/35.68 (define @t264 () (or @t254 @t81)) % 35.44/35.68 (define @t265 () (or @t140 @t139 @t138 @t136)) % 35.44/35.68 (define @t266 () (or @t141 @t265)) % 35.44/35.68 (define @t267 () (forall @t143 @t266)) % 35.44/35.68 (define @t268 () (@list @t134 @t133)) % 35.44/35.68 (define @t269 () (forall @t268 @t266)) % 35.44/35.68 (define @t270 () (forall @t268 @t265)) % 35.44/35.68 (define @t271 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 35.44/35.68 (define @t272 () (or @t141 @t270)) % 35.44/35.68 (define @t273 () (not (forall @t98 (or @t135 @t95 (not (tptp.memberP @t271 @t90)) @t92 @t91)))) % 35.44/35.68 (define @t274 () (not (= @t2 (tptp.app @t101 @t271)))) % 35.44/35.68 (define @t275 () (not (tptp.ssList @t271))) % 35.44/35.68 (define @t276 () (not @t40)) % 35.44/35.68 (define @t277 () (or @t276 @t275 @t274 @t273)) % 35.44/35.68 (define @t278 () (@list @t37 @t271)) % 35.44/35.68 (define @t279 () (forall @t278 @t277)) % 35.44/35.68 (define @t280 () (not @t279)) % 35.44/35.68 (define @t281 () (and @t109 @t280)) % 35.44/35.68 (define @t282 () (forall @t43 (not @t281))) % 35.44/35.68 (define @t283 () (not @t282)) % 35.44/35.68 (define @t284 () (or @t275 @t274 @t273)) % 35.44/35.68 (define @t285 () (or @t276 @t284)) % 35.44/35.68 (define @t286 () (forall @t278 @t285)) % 35.44/35.68 (define @t287 () (@list @t271)) % 35.44/35.68 (define @t288 () (forall @t287 @t285)) % 35.44/35.68 (define @t289 () (forall @t287 @t284)) % 35.44/35.68 (define @t290 () (or @t276 @t289)) % 35.44/35.68 (define @t291 () (or @t135 @t95 @t94 @t92 @t91)) % 35.44/35.68 (define @t292 () (forall @t98 @t291)) % 35.44/35.68 (define @t293 () (not @t292)) % 35.44/35.68 (define @t294 () (= @t2 @t102)) % 35.44/35.68 (define @t295 () (not @t294)) % 35.44/35.68 (define @t296 () (not @t103)) % 35.44/35.68 (define @t297 () (or @t296 @t295 @t293)) % 35.44/35.68 (define @t298 () (forall @t105 @t297)) % 35.44/35.68 (define @t299 () (not @t298)) % 35.44/35.68 (define @t300 () (and @t40 @t299)) % 35.44/35.68 (define @t301 () (forall @t41 (not @t300))) % 35.44/35.68 (define @t302 () (not @t301)) % 35.44/35.68 (define @t303 () (and @t103 @t294 @t292)) % 35.44/35.68 (define @t304 () (forall @t105 (not @t303))) % 35.44/35.68 (define @t305 () (not @t304)) % 35.44/35.68 (define @t306 () (forall @t149 (or @t145 @t124 @t144 @t132 (and @t130 (or (not (= tptp.nil @t126)) @t125))))) % 35.44/35.68 (define @t307 () (@quantifiers_skolemize @t306 0)) % 35.44/35.68 (define @t308 () (= tptp.nil @t307)) % 35.44/35.68 (define @t309 () (not @t308)) % 35.44/35.68 (define @t310 () (@quantifiers_skolemize @t306 1)) % 35.44/35.68 (define @t311 () (not (= tptp.nil @t310))) % 35.44/35.68 (define @t312 () (or @t311 @t309)) % 35.44/35.68 (define @t313 () (@quantifiers_skolemize @t306 2)) % 35.44/35.68 (define @t314 () (tptp.cons @t313 tptp.nil)) % 35.44/35.68 (define @t315 () (= @t307 @t314)) % 35.44/35.68 (define @t316 () (not @t315)) % 35.44/35.68 (define @t317 () (tptp.ssItem @t313)) % 35.44/35.68 (define @t318 () (not @t317)) % 35.44/35.68 (define @t319 () (or @t318 @t316 (not (tptp.memberP @t310 @t313)))) % 35.44/35.68 (define @t320 () (and @t319 @t312)) % 35.44/35.68 (define @t321 () (not (tptp.ssList @t310))) % 35.44/35.68 (define @t322 () (forall @t143 (or @t141 @t140 @t139 (not (= @t137 @t307)) @t136))) % 35.44/35.68 (define @t323 () (not @t322)) % 35.44/35.68 (define @t324 () (tptp.ssList @t307)) % 35.44/35.68 (define @t325 () (not @t324)) % 35.44/35.68 (define @t326 () (or @t325 @t308 @t323 @t321 @t320)) % 35.44/35.68 (define @t327 () (not @t326)) % 35.44/35.68 (define @t328 () (not @t306)) % 35.44/35.68 (define @t329 () (= @t307 tptp.nil)) % 35.44/35.68 (define @t330 () (not @t329)) % 35.44/35.68 (define @t331 () (or @t311 @t330)) % 35.44/35.68 (define @t332 () (and @t319 @t331)) % 35.44/35.68 (define @t333 () (not (= @t307 @t137))) % 35.44/35.68 (define @t334 () (or @t141 @t140 @t139 @t333 @t136)) % 35.44/35.68 (define @t335 () (forall @t143 @t334)) % 35.44/35.68 (define @t336 () (not @t335)) % 35.44/35.68 (define @t337 () (or @t325 @t329 @t336 @t321 @t332)) % 35.44/35.68 (define @t338 () (not @t337)) % 35.44/35.68 (define @t339 () (@list true)) % 35.44/35.68 (define @t340 () (@list @t326)) % 35.44/35.68 (define @t341 () (@list @t319)) % 35.44/35.68 (define @t342 () (@var "BOUND_VARIABLE_8413" $$unsorted)) % 35.44/35.68 (define @t343 () (not (tptp.ssList @t342))) % 35.44/35.68 (define @t344 () (@list @t12 @t342)) % 35.44/35.68 (define @t345 () (forall @t344 (or @t201 @t343 (not (= @t307 (tptp.app (tptp.app @t12 @t307) @t342)))))) % 35.44/35.68 (define @t346 () (@quantifiers_skolemize @t345 1)) % 35.44/35.68 (define @t347 () (@quantifiers_skolemize @t345 0)) % 35.44/35.68 (define @t348 () (forall @t98 (or @t135 (not (tptp.memberP @t347 @t90)) (not (tptp.memberP @t346 @t90)) (not (tptp.lt @t313 @t90)) (tptp.leq @t313 @t90)))) % 35.44/35.68 (define @t349 () (not @t348)) % 35.44/35.68 (define @t350 () (tptp.app (tptp.app @t347 @t314) @t346)) % 35.44/35.68 (define @t351 () (not (= @t350 @t307))) % 35.44/35.68 (define @t352 () (tptp.ssList @t346)) % 35.44/35.68 (define @t353 () (not @t352)) % 35.44/35.68 (define @t354 () (tptp.ssList @t347)) % 35.44/35.68 (define @t355 () (not @t354)) % 35.44/35.68 (define @t356 () (or @t318 @t355 @t353 @t351 @t349)) % 35.44/35.68 (define @t357 () (= @t307 @t350)) % 35.44/35.68 (define @t358 () (not @t357)) % 35.44/35.68 (define @t359 () (or @t318 @t355 @t353 @t358 @t349)) % 35.44/35.68 (define @t360 () (tptp.app @t347 @t307)) % 35.44/35.68 (define @t361 () (tptp.app @t360 @t346)) % 35.44/35.68 (define @t362 () (@var "BOUND_VARIABLE_8436" $$unsorted)) % 35.44/35.68 (define @t363 () (= (tptp.segmentP @t2 @t362) (not (forall @t344 (or @t201 @t343 (not (= @t2 (tptp.app (tptp.app @t12 @t362) @t342)))))))) % 35.44/35.68 (define @t364 () (not (tptp.ssList @t362))) % 35.44/35.68 (define @t365 () (or @t364 @t363)) % 35.44/35.68 (define @t366 () (or @t145 @t365)) % 35.44/35.68 (define @t367 () (forall (@list @t2 @t362) @t366)) % 35.44/35.68 (define @t368 () (@list @t362)) % 35.44/35.68 (define @t369 () (forall @t368 @t366)) % 35.44/35.68 (define @t370 () (forall @t368 @t365)) % 35.44/35.68 (define @t371 () (@list @t1)) % 35.44/35.68 (define @t372 () (or @t145 @t370)) % 35.44/35.68 (define @t373 () (not (= @t2 (tptp.app @t22 @t342)))) % 35.44/35.68 (define @t374 () (or @t201 @t343 @t373)) % 35.44/35.68 (define @t375 () (= @t29 (not (forall @t344 @t374)))) % 35.44/35.68 (define @t376 () (forall @t7 (or @t160 @t375))) % 35.44/35.68 (define @t377 () (or @t343 @t373)) % 35.44/35.68 (define @t378 () (or @t201 @t377)) % 35.44/35.68 (define @t379 () (forall @t344 @t378)) % 35.44/35.68 (define @t380 () (@list @t342)) % 35.44/35.68 (define @t381 () (forall @t380 @t378)) % 35.44/35.68 (define @t382 () (forall @t380 @t377)) % 35.44/35.68 (define @t383 () (or @t201 @t382)) % 35.44/35.68 (define @t384 () (= @t2 @t24)) % 35.44/35.68 (define @t385 () (forall @t14 (or @t241 (not @t384)))) % 35.44/35.68 (define @t386 () (not @t385)) % 35.44/35.68 (define @t387 () (and @t15 @t386)) % 35.44/35.68 (define @t388 () (forall @t16 (not @t387))) % 35.44/35.68 (define @t389 () (not @t388)) % 35.44/35.68 (define @t390 () (and @t13 @t384)) % 35.44/35.68 (define @t391 () (forall @t14 (not @t390))) % 35.44/35.68 (define @t392 () (not @t391)) % 35.44/35.68 (define @t393 () (not @t345)) % 35.44/35.68 (define @t394 () (tptp.segmentP @t307 @t307)) % 35.44/35.68 (define @t395 () (= @t394 @t393)) % 35.44/35.68 (define @t396 () (or @t325 @t325 @t395)) % 35.44/35.68 (define @t397 () (@list false false)) % 35.44/35.68 (define @t398 () (or @t325 @t394)) % 35.44/35.68 (define @t399 () (= @t307 @t361)) % 35.44/35.68 (define @t400 () (not @t399)) % 35.44/35.68 (define @t401 () (or @t355 @t353 @t400)) % 35.44/35.68 (define @t402 () (@list @t401)) % 35.44/35.68 (define @t403 () (@quantifiers_skolemize @t348 0)) % 35.44/35.68 (define @t404 () (tptp.ssItem @t403)) % 35.44/35.68 (define @t405 () (tptp.leq @t313 @t403)) % 35.44/35.68 (define @t406 () (tptp.lt @t313 @t403)) % 35.44/35.68 (define @t407 () (not @t406)) % 35.44/35.68 (define @t408 () (not @t404)) % 35.44/35.68 (define @t409 () (or @t408 (not (tptp.memberP @t347 @t403)) (not (tptp.memberP @t346 @t403)) @t407 @t405)) % 35.44/35.68 (define @t410 () (@list @t409)) % 35.44/35.68 (define @t411 () (@var "BOUND_VARIABLE_10864" $$unsorted)) % 35.44/35.68 (define @t412 () (= (tptp.lt @t2 @t411) (and (not (= @t2 @t411)) (tptp.leq @t2 @t411)))) % 35.44/35.68 (define @t413 () (not (tptp.ssItem @t411))) % 35.44/35.68 (define @t414 () (not @t8)) % 35.44/35.68 (define @t415 () (or @t413 @t412)) % 35.44/35.68 (define @t416 () (or @t414 @t415)) % 35.44/35.68 (define @t417 () (forall (@list @t2 @t411) @t416)) % 35.44/35.68 (define @t418 () (@list @t411)) % 35.44/35.68 (define @t419 () (forall @t418 @t416)) % 35.44/35.68 (define @t420 () (forall @t418 @t415)) % 35.44/35.68 (define @t421 () (or @t414 @t420)) % 35.44/35.68 (define @t422 () (forall @t7 (or (not @t6) @t73))) % 35.44/35.68 (define @t423 () (and (not (= @t313 @t403)) @t405)) % 35.44/35.68 (define @t424 () (not @t423)) % 35.44/35.68 (define @t425 () (= @t406 @t423)) % 35.44/35.68 (define @t426 () (not @t425)) % 35.44/35.68 (define @t427 () (or @t318 @t408 @t425)) % 35.44/35.68 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 35.44/35.68 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 35.44/35.68 (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))))))))))) % 35.44/35.68 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 35.44/35.68 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 35.44/35.68 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 35.44/35.68 (assume @p7 @t34) % 35.44/35.68 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 35.44/35.68 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 35.44/35.68 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 35.44/35.68 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 35.44/35.68 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 35.44/35.68 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t46)))))))))))))))) % 35.44/35.68 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t46))))))))))))) % 35.44/35.68 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 35.44/35.68 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47)))))) % 35.44/35.68 (assume @p17 (tptp.ssList tptp.nil)) % 35.44/35.68 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 35.44/35.68 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t48))))))))))) % 35.44/35.68 (assume @p20 (forall @t9 (=> @t17 (or @t50 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t49 @t2))))))))) % 35.44/35.68 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 35.44/35.68 (assume @p22 (forall @t9 (=> @t17 (=> @t52 (tptp.ssItem @t51))))) % 35.44/35.68 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 35.44/35.68 (assume @p24 (forall @t9 (=> @t17 (=> @t52 (tptp.ssList @t53))))) % 35.44/35.68 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 35.44/35.68 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t54)))))) % 35.44/35.68 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t55) (tptp.app @t49 @t2))))))))) % 35.44/35.68 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 35.44/35.68 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t57 @t56) @t3)))))) % 35.44/35.68 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t57 @t36) (tptp.leq @t2 @t12))))))))) % 35.44/35.68 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 35.44/35.68 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 @t56)))))) % 35.44/35.68 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not @t59))))))) % 35.44/35.68 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t60 @t45) @t61)))))))) % 35.44/35.68 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t59)))))) % 35.44/35.68 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t63))))))))) % 35.44/35.68 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t63))))))))) % 35.44/35.68 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 35.44/35.68 (assume @p39 (not (tptp.singletonP tptp.nil))) % 35.44/35.68 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 35.44/35.68 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 35.44/35.68 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 35.44/35.68 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 35.44/35.68 (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)))))))))))) % 35.44/35.68 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 35.44/35.68 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50)))) % 35.44/35.68 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 35.44/35.68 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 35.44/35.68 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 35.44/35.68 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t64 @t1))))))))) % 35.44/35.68 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 35.44/35.68 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50)))) % 35.44/35.68 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 35.44/35.68 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 (tptp.segmentP @t1 @t2)) @t3)))))) % 35.44/35.68 (assume @p55 @t66) % 35.44/35.68 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t64 @t10) @t1))))))))))) % 35.44/35.68 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 35.44/35.68 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t50)))) % 35.44/35.68 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t67)))) % 35.44/35.68 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 35.44/35.68 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t67)))) % 35.44/35.68 (assume @p62 (tptp.totalorderP tptp.nil)) % 35.44/35.68 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t67)))) % 35.44/35.68 (assume @p64 (tptp.strictorderP tptp.nil)) % 35.44/35.68 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t67)))) % 35.44/35.68 (assume @p66 (tptp.totalorderedP tptp.nil)) % 35.44/35.68 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t71) (or @t69 (and @t70 (tptp.totalorderedP @t1) (tptp.leq @t2 @t68))))))))) % 35.44/35.68 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t67)))) % 35.44/35.68 (assume @p69 (tptp.strictorderedP tptp.nil)) % 35.44/35.68 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t71) (or @t69 (and @t70 (tptp.strictorderedP @t1) (tptp.lt @t2 @t68))))))))) % 35.44/35.68 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t67)))) % 35.44/35.68 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 35.44/35.68 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t67)))) % 35.44/35.68 (assume @p74 (tptp.equalelemsP tptp.nil)) % 35.44/35.68 (assume @p75 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t6 (= @t51 @t1))))))) % 35.44/35.68 (assume @p76 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t21 (= @t53 @t1))))))) % 35.44/35.68 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t70 @t52 (= @t68 @t51) (= (tptp.tl @t1) @t53)) @t48)))))) % 35.44/35.68 (assume @p78 (forall @t9 (=> @t17 (=> @t52 (= (tptp.cons @t51 @t53) @t2))))) % 35.44/35.68 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t54) @t72)))))))) % 35.44/35.68 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t55) @t72)))))))) % 35.44/35.68 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 35.44/35.68 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t54 @t12) (tptp.app @t2 @t19))))))))) % 35.44/35.68 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t54) (and @t69 @t50))))))) % 35.44/35.68 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 35.44/35.68 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t52 (= (tptp.hd @t54) @t51))))))) % 35.44/35.68 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t52 (= (tptp.tl @t54) (tptp.app @t53 @t1)))))))) % 35.44/35.68 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 (tptp.geq @t1 @t2)) @t3)))))) % 35.44/35.68 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t58 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 35.44/35.68 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 35.44/35.68 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 35.44/35.68 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t57 @t45) @t61)))))))) % 35.44/35.68 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (or @t3 @t60))))))) % 35.44/35.68 (assume @p93 @t76) % 35.44/35.68 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (not (tptp.gt @t1 @t2)))))))) % 35.44/35.68 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 35.44/35.68 (assume @p96 @t123) % 35.44/35.68 (assume @p97 true) % 35.44/35.68 (step @p98 :rule refl :args (@t125)) % 35.44/35.68 (step @p99 :rule eq-symm :args (@t126 tptp.nil)) % 35.44/35.68 (step @p100 :rule cong :premises (@p99) :args (@t127)) % 35.44/35.68 (step @p101 :rule nary_cong :premises (@p100 @p98) :args (@t128)) % 35.44/35.68 (step @p102 :rule refl :args (@t130)) % 35.44/35.68 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t131)) % 35.44/35.68 (step @p104 :rule refl :args (@t132)) % 35.44/35.68 (step @p105 :rule refl :args (@t144)) % 35.44/35.68 (step @p106 :rule refl :args (@t124)) % 35.44/35.68 (step @p107 :rule refl :args (@t145)) % 35.44/35.68 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p103) :args (@t146)) % 35.44/35.68 (step @p109 :rule aci_norm :args ((= @t148 @t146))) % 35.44/35.68 (step @p110 :rule trans :premises (@p109 @p108)) % 35.44/35.68 (step @p111 :rule cong :premises (@p110) :args (@t150)) % 35.44/35.68 (step @p112 :rule quant-merge-prenex :args ((= (forall @t9 @t152) @t150))) % 35.44/35.68 (step @p113 :rule alpha_equiv :args (@t153 (@list @t126 @t129) (@list @t1 @t154))) % 35.44/35.68 (step @p114 :rule refl :args (@t144)) % 35.44/35.68 (step @p115 :rule refl :args (@t124)) % 35.44/35.68 (step @p116 :rule refl :args (@t145)) % 35.44/35.68 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113) :args (@t155)) % 35.44/35.68 (step @p118 :rule quant-miniscope-or :args ((= @t152 @t155))) % 35.44/35.68 (step @p119 :rule trans :premises (@p118 @p117)) % 35.44/35.68 (step @p120 :rule symm :premises (@p119)) % 35.44/35.68 (step @p121 :rule cong :premises (@p120) :args ((forall @t9 @t163))) % 35.44/35.68 (step @p122 :rule trans :premises (@p121 @p112)) % 35.44/35.68 (step @p123 :rule trans :premises (@p122 @p111)) % 35.44/35.68 (step @p124 :rule aci_norm :args ((= (or @t145 @t164) @t163))) % 35.44/35.68 (step @p125 :rule bool-impl-elim :args (@t17 @t164)) % 35.44/35.68 (step @p126 :rule trans :premises (@p125 @p124)) % 35.44/35.68 (step @p127 :rule cong :premises (@p126) :args ((forall @t9 (=> @t17 @t164)))) % 35.44/35.68 (step @p128 :rule trans :premises (@p127 @p123)) % 35.44/35.68 (step @p129 :rule quant-merge-prenex :args ((= (forall @t7 @t166) @t162))) % 35.44/35.68 (step @p130 :rule quant-unused-vars :args ((= @t167 @t157))) % 35.44/35.68 (step @p131 :rule alpha_equiv :args (@t168 (@list @t154) @t170)) % 35.44/35.68 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t171)) % 35.44/35.68 (step @p133 :rule quant-miniscope-and :args ((= @t172 @t171))) % 35.44/35.68 (step @p134 :rule trans :premises (@p133 @p132)) % 35.44/35.68 (step @p135 :rule refl :args (@t160)) % 35.44/35.68 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t173)) % 35.44/35.68 (step @p137 :rule quant-miniscope-or :args ((= @t166 @t173))) % 35.44/35.68 (step @p138 :rule trans :premises (@p137 @p136)) % 35.44/35.68 (step @p139 :rule symm :premises (@p138)) % 35.44/35.68 (step @p140 :rule cong :premises (@p139) :args (@t176)) % 35.44/35.68 (step @p141 :rule trans :premises (@p140 @p129)) % 35.44/35.68 (step @p142 :rule nary_cong :premises (@p106 @p105 @p107 @p141) :args (@t177)) % 35.44/35.68 (step @p143 :rule quant-miniscope-or :args ((= (forall @t7 @t178) @t177))) % 35.44/35.68 (step @p144 :rule aci_norm :args ((= @t179 @t178))) % 35.44/35.68 (step @p145 :rule cong :premises (@p144) :args ((forall @t7 @t179))) % 35.44/35.68 (step @p146 :rule trans :premises (@p145 @p143)) % 35.44/35.68 (step @p147 :rule trans :premises (@p146 @p142)) % 35.44/35.68 (step @p148 :rule aci_norm :args ((= (or @t160 @t180) @t179))) % 35.44/35.68 (step @p149 :rule bool-impl-elim :args (@t21 @t180)) % 35.44/35.68 (step @p150 :rule trans :premises (@p149 @p148)) % 35.44/35.68 (step @p151 :rule cong :premises (@p150) :args ((forall @t7 (=> @t21 @t180)))) % 35.44/35.68 (step @p152 :rule trans :premises (@p151 @p147)) % 35.44/35.68 (step @p153 :rule aci_norm :args ((= (or @t124 @t144 @t160 (or @t145 @t174)) @t180))) % 35.44/35.68 (step @p154 :rule quant-unused-vars :args ((= @t183 @t157))) % 35.44/35.68 (step @p155 :rule alpha_equiv :args (@t188 @t189 @t170)) % 35.44/35.68 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t190)) % 35.44/35.68 (step @p157 :rule quant-miniscope-and :args ((= @t192 @t190))) % 35.44/35.68 (step @p158 :rule trans :premises (@p157 @p156)) % 35.44/35.68 (step @p159 :rule nary_cong :premises (@p107 @p158) :args (@t193)) % 35.44/35.68 (step @p160 :rule quant-miniscope-or :args ((= (forall @t182 @t194) @t193))) % 35.44/35.68 (step @p161 :rule trans :premises (@p160 @p159)) % 35.44/35.68 (step @p162 :rule aci_norm :args ((= (or @t145 false @t191) @t194))) % 35.44/35.68 (step @p163 :rule refl :args (@t191)) % 35.44/35.68 (step @p164 :rule evaluate :args ((not true))) % 35.44/35.68 (step @p165 :rule eq-refl :args (@t2)) % 35.44/35.68 (step @p166 :rule cong :premises (@p165) :args (@t195)) % 35.44/35.68 (step @p167 :rule trans :premises (@p166 @p164)) % 35.44/35.68 (step @p168 :rule nary_cong :premises (@p107 @p167 @p163) :args (@t196)) % 35.44/35.68 (step @p169 :rule trans :premises (@p168 @p162)) % 35.44/35.68 (step @p170 :rule cong :premises (@p169) :args ((forall @t182 @t196))) % 35.44/35.68 (step @p171 :rule trans :premises (@p170 @p161)) % 35.44/35.68 (step @p172 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t72) @t201 @t112 @t200)) @t196))) % 35.44/35.68 (step @p173 :rule refl :args (@t200)) % 35.44/35.68 (step @p174 :rule refl :args (@t112)) % 35.44/35.68 (step @p175 :rule refl :args (@t201)) % 35.44/35.68 (step @p176 :rule eq-symm :args (@t2 @t12)) % 35.44/35.68 (step @p177 :rule cong :premises (@p176) :args (@t112)) % 35.44/35.68 (step @p178 :rule nary_cong :premises (@p177 @p175 @p174 @p173) :args (@t202)) % 35.44/35.68 (step @p179 :rule aci_norm :args ((= @t203 @t202))) % 35.44/35.68 (step @p180 :rule trans :premises (@p179 @p178)) % 35.44/35.68 (step @p181 :rule cong :premises (@p180) :args (@t204)) % 35.44/35.68 (step @p182 :rule trans :premises (@p181 @p172)) % 35.44/35.68 (step @p183 :rule cong :premises (@p182) :args (@t205)) % 35.44/35.68 (step @p184 :rule quant-merge-prenex :args ((= @t205 @t206))) % 35.44/35.68 (step @p185 :rule symm :premises (@p184)) % 35.44/35.68 (step @p186 :rule quant_var_reordering :args ((= @t207 @t206))) % 35.44/35.68 (step @p187 :rule trans :premises (@p186 @p185 @p183)) % 35.44/35.68 (step @p188 :rule trans :premises (@p187 @p171)) % 35.44/35.68 (step @p189 :rule quant-merge-prenex :args ((= (forall @t16 @t208) @t207))) % 35.44/35.68 (step @p190 :rule quant-unused-vars :args ((= @t209 @t198))) % 35.44/35.68 (step @p191 :rule alpha_equiv :args (@t210 @t189 @t212)) % 35.44/35.68 (step @p192 :rule nary_cong :premises (@p191 @p190) :args (@t213)) % 35.44/35.68 (step @p193 :rule quant-miniscope-and :args ((= @t214 @t213))) % 35.44/35.68 (step @p194 :rule trans :premises (@p193 @p192)) % 35.44/35.68 (step @p195 :rule nary_cong :premises (@p175 @p174 @p194) :args (@t215)) % 35.44/35.68 (step @p196 :rule quant-miniscope-or :args ((= @t208 @t215))) % 35.44/35.68 (step @p197 :rule trans :premises (@p196 @p195)) % 35.44/35.68 (step @p198 :rule symm :premises (@p197)) % 35.44/35.68 (step @p199 :rule cong :premises (@p198) :args (@t218)) % 35.44/35.68 (step @p200 :rule trans :premises (@p199 @p189)) % 35.44/35.68 (step @p201 :rule trans :premises (@p200 @p188)) % 35.44/35.68 (step @p202 :rule refl :args (@t160)) % 35.44/35.68 (step @p203 :rule nary_cong :premises (@p106 @p105 @p202 @p201) :args (@t219)) % 35.44/35.68 (step @p204 :rule trans :premises (@p203 @p153)) % 35.44/35.68 (step @p205 :rule quant-miniscope-or :args ((= (forall @t16 @t220) @t219))) % 35.44/35.68 (step @p206 :rule aci_norm :args ((= @t221 @t220))) % 35.44/35.68 (step @p207 :rule cong :premises (@p206) :args ((forall @t16 @t221))) % 35.44/35.68 (step @p208 :rule trans :premises (@p207 @p205)) % 35.44/35.68 (step @p209 :rule trans :premises (@p208 @p204)) % 35.44/35.68 (step @p210 :rule aci_norm :args ((= (or @t201 @t222) @t221))) % 35.44/35.68 (step @p211 :rule bool-impl-elim :args (@t15 @t222)) % 35.44/35.68 (step @p212 :rule trans :premises (@p211 @p210)) % 35.44/35.68 (step @p213 :rule cong :premises (@p212) :args ((forall @t16 (=> @t15 @t222)))) % 35.44/35.68 (step @p214 :rule trans :premises (@p213 @p209)) % 35.44/35.68 (step @p215 :rule aci_norm :args ((= (or @t112 @t124 @t144 (or @t160 @t216)) @t222))) % 35.44/35.68 (step @p216 :rule quant-unused-vars :args ((= @t225 @t198))) % 35.44/35.68 (step @p217 :rule alpha_equiv :args (@t229 @t230 @t212)) % 35.44/35.68 (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t231)) % 35.44/35.68 (step @p219 :rule quant-miniscope-and :args ((= @t233 @t231))) % 35.44/35.68 (step @p220 :rule trans :premises (@p219 @p218)) % 35.44/35.68 (step @p221 :rule nary_cong :premises (@p202 @p220) :args (@t234)) % 35.44/35.68 (step @p222 :rule quant-miniscope-or :args ((= (forall @t224 @t235) @t234))) % 35.44/35.68 (step @p223 :rule trans :premises (@p222 @p221)) % 35.44/35.68 (step @p224 :rule aci_norm :args ((= (or @t160 false @t232) @t235))) % 35.44/35.68 (step @p225 :rule refl :args (@t232)) % 35.44/35.68 (step @p226 :rule eq-refl :args (@t1)) % 35.44/35.68 (step @p227 :rule cong :premises (@p226) :args (@t236)) % 35.44/35.68 (step @p228 :rule trans :premises (@p227 @p164)) % 35.44/35.68 (step @p229 :rule nary_cong :premises (@p202 @p228 @p225) :args (@t237)) % 35.44/35.68 (step @p230 :rule trans :premises (@p229 @p224)) % 35.44/35.68 (step @p231 :rule cong :premises (@p230) :args ((forall @t224 @t237))) % 35.44/35.68 (step @p232 :rule trans :premises (@p231 @p223)) % 35.44/35.68 (step @p233 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t241 @t113 @t240)) @t237))) % 35.44/35.68 (step @p234 :rule refl :args (@t240)) % 35.44/35.68 (step @p235 :rule refl :args (@t113)) % 35.44/35.68 (step @p236 :rule refl :args (@t241)) % 35.44/35.68 (step @p237 :rule eq-symm :args (@t1 @t10)) % 35.44/35.68 (step @p238 :rule cong :premises (@p237) :args (@t113)) % 35.44/35.68 (step @p239 :rule nary_cong :premises (@p238 @p236 @p235 @p234) :args (@t242)) % 35.44/35.68 (step @p240 :rule aci_norm :args ((= @t243 @t242))) % 35.44/35.68 (step @p241 :rule trans :premises (@p240 @p239)) % 35.44/35.68 (step @p242 :rule cong :premises (@p241) :args (@t244)) % 35.44/35.68 (step @p243 :rule trans :premises (@p242 @p233)) % 35.44/35.68 (step @p244 :rule cong :premises (@p243) :args (@t245)) % 35.44/35.68 (step @p245 :rule quant-merge-prenex :args ((= @t245 @t246))) % 35.44/35.68 (step @p246 :rule symm :premises (@p245)) % 35.44/35.68 (step @p247 :rule quant_var_reordering :args ((= @t247 @t246))) % 35.44/35.68 (step @p248 :rule trans :premises (@p247 @p246 @p244)) % 35.44/35.68 (step @p249 :rule trans :premises (@p248 @p232)) % 35.44/35.68 (step @p250 :rule quant-merge-prenex :args ((= (forall @t14 @t248) @t247))) % 35.44/35.68 (step @p251 :rule quant-unused-vars :args ((= @t249 @t238))) % 35.44/35.68 (step @p252 :rule alpha_equiv :args (@t250 @t230 (@list @t80))) % 35.44/35.68 (step @p253 :rule nary_cong :premises (@p252 @p251) :args (@t251)) % 35.44/35.68 (step @p254 :rule quant-miniscope-and :args ((= @t252 @t251))) % 35.44/35.68 (step @p255 :rule trans :premises (@p254 @p253)) % 35.44/35.68 (step @p256 :rule nary_cong :premises (@p236 @p235 @p255) :args (@t253)) % 35.44/35.68 (step @p257 :rule quant-miniscope-or :args ((= @t248 @t253))) % 35.44/35.68 (step @p258 :rule trans :premises (@p257 @p256)) % 35.44/35.68 (step @p259 :rule symm :premises (@p258)) % 35.44/35.68 (step @p260 :rule cong :premises (@p259) :args (@t259)) % 35.44/35.68 (step @p261 :rule trans :premises (@p260 @p250)) % 35.44/35.68 (step @p262 :rule trans :premises (@p261 @p249)) % 35.44/35.68 (step @p263 :rule refl :args (@t112)) % 35.44/35.68 (step @p264 :rule nary_cong :premises (@p263 @p106 @p105 @p262) :args (@t260)) % 35.44/35.68 (step @p265 :rule trans :premises (@p264 @p215)) % 35.44/35.68 (step @p266 :rule quant-miniscope-or :args ((= (forall @t14 @t261) @t260))) % 35.44/35.68 (step @p267 :rule aci_norm :args ((= @t262 @t261))) % 35.44/35.68 (step @p268 :rule cong :premises (@p267) :args ((forall @t14 @t262))) % 35.44/35.68 (step @p269 :rule trans :premises (@p268 @p266)) % 35.44/35.68 (step @p270 :rule trans :premises (@p269 @p265)) % 35.44/35.68 (step @p271 :rule aci_norm :args ((= (or @t241 @t263) @t262))) % 35.44/35.68 (step @p272 :rule bool-impl-elim :args (@t13 @t263)) % 35.44/35.68 (step @p273 :rule trans :premises (@p272 @p271)) % 35.44/35.68 (step @p274 :rule cong :premises (@p273) :args ((forall @t14 (=> @t13 @t263)))) % 35.44/35.68 (step @p275 :rule trans :premises (@p274 @p270)) % 35.44/35.68 (step @p276 :rule eq-symm :args (tptp.nil @t12)) % 35.44/35.68 (step @p277 :rule cong :premises (@p276) :args (@t77)) % 35.44/35.68 (step @p278 :rule eq-symm :args (tptp.nil @t10)) % 35.44/35.68 (step @p279 :rule cong :premises (@p278) :args (@t78)) % 35.44/35.68 (step @p280 :rule nary_cong :premises (@p279 @p277) :args (@t79)) % 35.44/35.68 (step @p281 :rule aci_norm :args ((= (or @t255 @t264) @t256))) % 35.44/35.68 (step @p282 :rule bool-impl-elim :args (@t85 @t264)) % 35.44/35.68 (step @p283 :rule trans :premises (@p282 @p281)) % 35.44/35.68 (step @p284 :rule cong :premises (@p283) :args ((forall @t87 (=> @t85 @t264)))) % 35.44/35.68 (step @p285 :rule refl :args (@t81)) % 35.44/35.68 (step @p286 :rule eq-symm :args (@t82 @t12)) % 35.44/35.68 (step @p287 :rule cong :premises (@p286) :args (@t83)) % 35.44/35.68 (step @p288 :rule nary_cong :premises (@p287 @p285) :args (@t84)) % 35.44/35.68 (step @p289 :rule refl :args (@t85)) % 35.44/35.68 (step @p290 :rule cong :premises (@p289 @p288) :args (@t86)) % 35.44/35.68 (step @p291 :rule cong :premises (@p290) :args (@t88)) % 35.44/35.68 (step @p292 :rule trans :premises (@p291 @p284)) % 35.44/35.68 (step @p293 :rule nary_cong :premises (@p292 @p280) :args (@t89)) % 35.44/35.68 (step @p294 :rule aci_norm :args ((= @t266 @t142))) % 35.44/35.68 (step @p295 :rule cong :premises (@p294) :args (@t267)) % 35.44/35.68 (step @p296 :rule quant-merge-prenex :args ((= (forall @t43 @t269) @t267))) % 35.44/35.68 (step @p297 :rule alpha_equiv :args (@t270 (@list @t134 @t133) (@list @t37 @t271))) % 35.44/35.68 (step @p298 :rule refl :args (@t141)) % 35.44/35.68 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t272)) % 35.44/35.68 (step @p300 :rule quant-miniscope-or :args ((= @t269 @t272))) % 35.44/35.68 (step @p301 :rule trans :premises (@p300 @p299)) % 35.44/35.68 (step @p302 :rule symm :premises (@p301)) % 35.44/35.68 (step @p303 :rule cong :premises (@p302) :args ((forall @t43 (or @t141 @t279)))) % 35.44/35.68 (step @p304 :rule trans :premises (@p303 @p296)) % 35.44/35.68 (step @p305 :rule trans :premises (@p304 @p295)) % 35.44/35.68 (step @p306 :rule bool-double-not-elim :args (@t279)) % 35.44/35.68 (step @p307 :rule nary_cong :premises (@p298 @p306) :args ((or @t141 (not @t280)))) % 35.44/35.68 (step @p308 :rule bool-and-de-morgan :args (@t109 @t280 true)) % 35.44/35.68 (step @p309 :rule trans :premises (@p308 @p307)) % 35.44/35.68 (step @p310 :rule cong :premises (@p309) :args (@t282)) % 35.44/35.68 (step @p311 :rule trans :premises (@p310 @p305)) % 35.44/35.68 (step @p312 :rule cong :premises (@p311) :args (@t283)) % 35.44/35.68 (step @p313 :rule exists-elim :args ((= (exists @t43 @t281) @t283))) % 35.44/35.68 (step @p314 :rule trans :premises (@p313 @p312)) % 35.44/35.68 (step @p315 :rule aci_norm :args ((= @t285 @t277))) % 35.44/35.68 (step @p316 :rule cong :premises (@p315) :args (@t286)) % 35.44/35.68 (step @p317 :rule quant-merge-prenex :args ((= (forall @t41 @t288) @t286))) % 35.44/35.68 (step @p318 :rule alpha_equiv :args (@t289 (@list @t271) (@list @t93))) % 35.44/35.68 (step @p319 :rule refl :args (@t276)) % 35.44/35.68 (step @p320 :rule nary_cong :premises (@p319 @p318) :args (@t290)) % 35.44/35.68 (step @p321 :rule quant-miniscope-or :args ((= @t288 @t290))) % 35.44/35.68 (step @p322 :rule trans :premises (@p321 @p320)) % 35.44/35.68 (step @p323 :rule symm :premises (@p322)) % 35.44/35.68 (step @p324 :rule cong :premises (@p323) :args ((forall @t41 (or @t276 @t298)))) % 35.44/35.68 (step @p325 :rule trans :premises (@p324 @p317)) % 35.44/35.68 (step @p326 :rule trans :premises (@p325 @p316)) % 35.44/35.68 (step @p327 :rule bool-double-not-elim :args (@t298)) % 35.44/35.68 (step @p328 :rule nary_cong :premises (@p319 @p327) :args ((or @t276 (not @t299)))) % 35.44/35.68 (step @p329 :rule bool-and-de-morgan :args (@t40 @t299 true)) % 35.44/35.68 (step @p330 :rule trans :premises (@p329 @p328)) % 35.44/35.68 (step @p331 :rule cong :premises (@p330) :args (@t301)) % 35.44/35.68 (step @p332 :rule trans :premises (@p331 @p326)) % 35.44/35.68 (step @p333 :rule cong :premises (@p332) :args (@t302)) % 35.44/35.68 (step @p334 :rule exists-elim :args ((= (exists @t41 @t300) @t302))) % 35.44/35.68 (step @p335 :rule trans :premises (@p334 @p333)) % 35.44/35.68 (step @p336 :rule aci_norm :args ((= (or @t296 (or @t295 @t293)) @t297))) % 35.44/35.68 (step @p337 :rule bool-and-de-morgan :args (@t294 @t292 true)) % 35.44/35.68 (step @p338 :rule refl :args (@t296)) % 35.44/35.68 (step @p339 :rule nary_cong :premises (@p338 @p337) :args ((or @t296 (not (and @t294 @t292))))) % 35.44/35.68 (step @p340 :rule bool-and-de-morgan :args (@t103 @t294 (and @t292))) % 35.44/35.68 (step @p341 :rule trans :premises (@p340 @p339)) % 35.44/35.68 (step @p342 :rule trans :premises (@p341 @p336)) % 35.44/35.68 (step @p343 :rule cong :premises (@p342) :args (@t304)) % 35.44/35.68 (step @p344 :rule cong :premises (@p343) :args (@t305)) % 35.44/35.68 (step @p345 :rule exists-elim :args ((= (exists @t105 @t303) @t305))) % 35.44/35.68 (step @p346 :rule trans :premises (@p345 @p344)) % 35.44/35.68 (step @p347 :rule aci_norm :args ((= (or @t135 @t96) @t291))) % 35.44/35.68 (step @p348 :rule bool-impl-elim :args (@t97 @t96)) % 35.44/35.68 (step @p349 :rule trans :premises (@p348 @p347)) % 35.44/35.68 (step @p350 :rule cong :premises (@p349) :args (@t99)) % 35.44/35.68 (step @p351 :rule eq-symm :args (@t102 @t2)) % 35.44/35.68 (step @p352 :rule refl :args (@t103)) % 35.44/35.68 (step @p353 :rule nary_cong :premises (@p352 @p351 @p350) :args (@t104)) % 35.44/35.68 (step @p354 :rule cong :premises (@p353) :args (@t106)) % 35.44/35.68 (step @p355 :rule trans :premises (@p354 @p346)) % 35.44/35.68 (step @p356 :rule refl :args (@t40)) % 35.44/35.68 (step @p357 :rule nary_cong :premises (@p356 @p355) :args (@t107)) % 35.44/35.68 (step @p358 :rule cong :premises (@p357) :args (@t108)) % 35.44/35.68 (step @p359 :rule trans :premises (@p358 @p335)) % 35.44/35.68 (step @p360 :rule refl :args (@t109)) % 35.44/35.68 (step @p361 :rule nary_cong :premises (@p360 @p359) :args (@t110)) % 35.44/35.68 (step @p362 :rule cong :premises (@p361) :args (@t111)) % 35.44/35.68 (step @p363 :rule trans :premises (@p362 @p314)) % 35.44/35.68 (step @p364 :rule eq-symm :args (tptp.nil @t2)) % 35.44/35.68 (step @p365 :rule refl :args (@t113)) % 35.44/35.68 (step @p366 :rule nary_cong :premises (@p365 @p263 @p364 @p363 @p293) :args (@t114)) % 35.44/35.68 (step @p367 :rule refl :args (@t13)) % 35.44/35.68 (step @p368 :rule cong :premises (@p367 @p366) :args (@t115)) % 35.44/35.68 (step @p369 :rule cong :premises (@p368) :args (@t116)) % 35.44/35.68 (step @p370 :rule trans :premises (@p369 @p275)) % 35.44/35.68 (step @p371 :rule refl :args (@t15)) % 35.44/35.68 (step @p372 :rule cong :premises (@p371 @p370) :args (@t117)) % 35.44/35.68 (step @p373 :rule cong :premises (@p372) :args (@t118)) % 35.44/35.68 (step @p374 :rule trans :premises (@p373 @p214)) % 35.44/35.68 (step @p375 :rule refl :args (@t21)) % 35.44/35.68 (step @p376 :rule cong :premises (@p375 @p374) :args (@t119)) % 35.44/35.68 (step @p377 :rule cong :premises (@p376) :args (@t120)) % 35.44/35.68 (step @p378 :rule trans :premises (@p377 @p152)) % 35.44/35.68 (step @p379 :rule refl :args (@t17)) % 35.44/35.68 (step @p380 :rule cong :premises (@p379 @p378) :args (@t121)) % 35.44/35.68 (step @p381 :rule cong :premises (@p380) :args (@t122)) % 35.44/35.68 (step @p382 :rule trans :premises (@p381 @p128)) % 35.44/35.68 (step @p383 :rule cong :premises (@p382) :args (@t123)) % 35.44/35.68 (step @p384 :rule eq_resolve :premises (@p96 @p383)) % 35.44/35.68 (step @p385 :rule refl :args (@t327)) % 35.44/35.68 (step @p386 :rule bool-double-not-elim :args (@t306)) % 35.44/35.68 (step @p387 :rule nary_cong :premises (@p386 @p385) :args ((or (not @t328) @t327))) % 35.44/35.68 (step @p388 :rule eq-symm :args (@t307 tptp.nil)) % 35.44/35.68 (step @p389 :rule cong :premises (@p388) :args (@t330)) % 35.44/35.68 (step @p390 :rule refl :args (@t311)) % 35.44/35.68 (step @p391 :rule nary_cong :premises (@p390 @p389) :args (@t331)) % 35.44/35.68 (step @p392 :rule refl :args (@t319)) % 35.44/35.68 (step @p393 :rule nary_cong :premises (@p392 @p391) :args (@t332)) % 35.44/35.68 (step @p394 :rule refl :args (@t321)) % 35.44/35.68 (step @p395 :rule refl :args (@t136)) % 35.44/35.68 (step @p396 :rule eq-symm :args (@t307 @t137)) % 35.44/35.68 (step @p397 :rule cong :premises (@p396) :args (@t333)) % 35.44/35.68 (step @p398 :rule refl :args (@t139)) % 35.44/35.68 (step @p399 :rule refl :args (@t140)) % 35.44/35.68 (step @p400 :rule refl :args (@t141)) % 35.44/35.68 (step @p401 :rule nary_cong :premises (@p400 @p399 @p398 @p397 @p395) :args (@t334)) % 35.44/35.68 (step @p402 :rule cong :premises (@p401) :args (@t335)) % 35.44/35.68 (step @p403 :rule cong :premises (@p402) :args (@t336)) % 35.44/35.68 (step @p404 :rule refl :args (@t325)) % 35.44/35.68 (step @p405 :rule nary_cong :premises (@p404 @p388 @p403 @p394 @p393) :args (@t337)) % 35.44/35.68 (step @p406 :rule cong :premises (@p405) :args (@t338)) % 35.44/35.68 (step @p407 :rule refl :args (@t328)) % 35.44/35.68 (step @p408 :rule cong :premises (@p407 @p406) :args ((=> @t328 @t338))) % 35.44/35.68 (assume-push @p620 @t328) % 35.44/35.68 (step @p410 :rule skolemize :premises (@p384)) % 35.44/35.68 (step-pop @p621 :rule scope :premises (@p410)) % 35.44/35.68 (step @p411 :rule process_scope :premises (@p621) :args (@t338)) % 35.44/35.68 (step @p413 :rule eq_resolve :premises (@p411 @p408)) % 35.44/35.68 (step @p414 :rule implies_elim :premises (@p413)) % 35.44/35.68 (step @p415 :rule eq_resolve :premises (@p414 @p387)) % 35.44/35.68 (step @p416 :rule chain_m_resolution :premises (@p415 @p384) :args (@t327 @t339 (@list @t306))) % 35.44/35.68 (step @p417 :rule cnf_or_neg :args (@t326 1)) % 35.44/35.68 (step @p418 :rule reordering :premises (@p417) :args ((or @t309 @t326))) % 35.44/35.68 (step @p419 :rule chain_m_resolution :premises (@p418 @p416) :args (@t309 @t339 @t340)) % 35.44/35.68 (step @p420 :rule bool-double-not-elim :args (@t308)) % 35.44/35.68 (step @p421 :rule refl :args (@t312)) % 35.44/35.68 (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or @t312 (not @t309)))) % 35.44/35.68 (step @p423 :rule cnf_or_neg :args (@t312 1)) % 35.44/35.68 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 35.44/35.68 (step @p425 :rule reordering :premises (@p424) :args ((or @t308 @t312))) % 35.44/35.68 (step @p426 :rule chain_m_resolution :premises (@p425 @p419) :args (@t312 @t339 (@list @t308))) % 35.44/35.68 (step @p427 :rule cnf_or_neg :args (@t326 4)) % 35.44/35.68 (step @p428 :rule chain_m_resolution :premises (@p427 @p416) :args ((not @t320) @t339 @t340)) % 35.44/35.68 (step @p429 :rule cnf_and_neg :args (@t320)) % 35.44/35.68 (step @p430 :rule chain_m_resolution :premises (@p429 @p428 @p426) :args ((not @t319) (@list true false) (@list @t320 @t312))) % 35.44/35.68 (step @p431 :rule bool-double-not-elim :args (@t317)) % 35.44/35.68 (step @p432 :rule nary_cong :premises (@p392 @p431) :args ((or @t319 (not @t318)))) % 35.44/35.68 (step @p433 :rule cnf_or_neg :args (@t319 0)) % 35.44/35.68 (step @p434 :rule eq_resolve :premises (@p433 @p432)) % 35.44/35.68 (step @p435 :rule reordering :premises (@p434) :args ((or @t317 @t319))) % 35.44/35.68 (step @p436 :rule chain_m_resolution :premises (@p435 @p430) :args (@t317 @t339 @t341)) % 35.44/35.68 (step @p437 :rule bool-double-not-elim :args (@t322)) % 35.44/35.68 (step @p438 :rule refl :args (@t326)) % 35.44/35.68 (step @p439 :rule nary_cong :premises (@p438 @p437) :args ((or @t326 (not @t323)))) % 35.44/35.68 (step @p440 :rule cnf_or_neg :args (@t326 2)) % 35.44/35.68 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 35.44/35.68 (step @p442 :rule reordering :premises (@p441) :args ((or @t322 @t326))) % 35.44/35.68 (step @p443 :rule chain_m_resolution :premises (@p442 @p416) :args (@t322 @t339 @t340)) % 35.44/35.68 (step @p444 :rule refl :args (@t349)) % 35.44/35.68 (step @p445 :rule eq-symm :args (@t350 @t307)) % 35.44/35.68 (step @p446 :rule cong :premises (@p445) :args (@t351)) % 35.44/35.68 (step @p447 :rule refl :args (@t353)) % 35.44/35.68 (step @p448 :rule refl :args (@t355)) % 35.44/35.68 (step @p449 :rule refl :args (@t318)) % 35.44/35.68 (step @p450 :rule nary_cong :premises (@p449 @p448 @p447 @p446 @p444) :args (@t356)) % 35.44/35.68 (step @p451 :rule refl :args (@t322)) % 35.44/35.68 (step @p452 :rule cong :premises (@p451 @p450) :args ((=> @t322 @t356))) % 35.44/35.68 (assume-push @p622 @t322) % 35.44/35.68 (step @p454 :rule instantiate :premises (@p443) :args ((@list @t313 @t347 @t346))) % 35.44/35.68 (step-pop @p623 :rule scope :premises (@p454)) % 35.44/35.68 (step @p455 :rule process_scope :premises (@p623) :args (@t356)) % 35.44/35.68 (step @p457 :rule eq_resolve :premises (@p455 @p452)) % 35.44/35.68 (step @p458 :rule implies_elim :premises (@p457)) % 35.44/35.68 (step @p459 :rule chain_m_resolution :premises (@p458 @p443) :args (@t359 (@list false) (@list @t322))) % 35.44/35.68 (step @p460 :rule refl :args (@t346)) % 35.44/35.68 (step @p461 :rule bool-double-not-elim :args (@t315)) % 35.44/35.68 (step @p462 :rule nary_cong :premises (@p392 @p461) :args ((or @t319 (not @t316)))) % 35.44/35.68 (step @p463 :rule cnf_or_neg :args (@t319 1)) % 35.44/35.68 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 35.44/35.68 (step @p465 :rule reordering :premises (@p464) :args ((or @t315 @t319))) % 35.44/35.68 (step @p466 :rule chain_m_resolution :premises (@p465 @p430) :args (@t315 @t339 @t341)) % 35.44/35.68 (step @p467 :rule refl :args (@t347)) % 35.44/35.68 (step @p468 :rule cong :premises (@p467 @p466) :args (@t360)) % 35.44/35.68 (step @p469 :rule cong :premises (@p468 @p460) :args (@t361)) % 35.44/35.68 (step @p470 :rule aci_norm :args ((= @t366 (or @t145 @t364 @t363)))) % 35.44/35.68 (step @p471 :rule cong :premises (@p470) :args (@t367)) % 35.44/35.68 (step @p472 :rule quant-merge-prenex :args ((= (forall @t9 @t369) @t367))) % 35.44/35.68 (step @p473 :rule alpha_equiv :args (@t370 (@list @t362) @t371)) % 35.44/35.68 (step @p474 :rule nary_cong :premises (@p116 @p473) :args (@t372)) % 35.44/35.68 (step @p475 :rule quant-miniscope-or :args ((= @t369 @t372))) % 35.44/35.68 (step @p476 :rule trans :premises (@p475 @p474)) % 35.44/35.68 (step @p477 :rule symm :premises (@p476)) % 35.44/35.68 (step @p478 :rule cong :premises (@p477) :args ((forall @t9 (or @t145 @t376)))) % 35.44/35.68 (step @p479 :rule trans :premises (@p478 @p472)) % 35.44/35.68 (step @p480 :rule trans :premises (@p479 @p471)) % 35.44/35.68 (step @p481 :rule bool-impl-elim :args (@t17 @t376)) % 35.44/35.68 (step @p482 :rule cong :premises (@p481) :args ((forall @t9 (=> @t17 @t376)))) % 35.44/35.68 (step @p483 :rule trans :premises (@p482 @p480)) % 35.44/35.68 (step @p484 :rule bool-impl-elim :args (@t21 @t375)) % 35.44/35.68 (step @p485 :rule cong :premises (@p484) :args ((forall @t7 (=> @t21 @t375)))) % 35.44/35.68 (step @p486 :rule aci_norm :args ((= @t378 @t374))) % 35.44/35.68 (step @p487 :rule cong :premises (@p486) :args (@t379)) % 35.44/35.68 (step @p488 :rule quant-merge-prenex :args ((= (forall @t16 @t381) @t379))) % 35.44/35.68 (step @p489 :rule alpha_equiv :args (@t382 (@list @t342) (@list @t10))) % 35.44/35.68 (step @p490 :rule nary_cong :premises (@p175 @p489) :args (@t383)) % 35.44/35.68 (step @p491 :rule quant-miniscope-or :args ((= @t381 @t383))) % 35.44/35.68 (step @p492 :rule trans :premises (@p491 @p490)) % 35.44/35.68 (step @p493 :rule symm :premises (@p492)) % 35.44/35.68 (step @p494 :rule cong :premises (@p493) :args ((forall @t16 (or @t201 @t385)))) % 35.44/35.68 (step @p495 :rule trans :premises (@p494 @p488)) % 35.44/35.68 (step @p496 :rule trans :premises (@p495 @p487)) % 35.44/35.68 (step @p497 :rule bool-double-not-elim :args (@t385)) % 35.44/35.68 (step @p498 :rule nary_cong :premises (@p175 @p497) :args ((or @t201 (not @t386)))) % 35.44/35.68 (step @p499 :rule bool-and-de-morgan :args (@t15 @t386 true)) % 35.44/35.68 (step @p500 :rule trans :premises (@p499 @p498)) % 35.44/35.68 (step @p501 :rule cong :premises (@p500) :args (@t388)) % 35.44/35.68 (step @p502 :rule trans :premises (@p501 @p496)) % 35.44/35.68 (step @p503 :rule cong :premises (@p502) :args (@t389)) % 35.44/35.68 (step @p504 :rule exists-elim :args ((= (exists @t16 @t387) @t389))) % 35.44/35.68 (step @p505 :rule trans :premises (@p504 @p503)) % 35.44/35.68 (step @p506 :rule bool-and-de-morgan :args (@t13 @t384 true)) % 35.44/35.68 (step @p507 :rule cong :premises (@p506) :args (@t391)) % 35.44/35.68 (step @p508 :rule cong :premises (@p507) :args (@t392)) % 35.44/35.68 (step @p509 :rule exists-elim :args ((= (exists @t14 @t390) @t392))) % 35.44/35.68 (step @p510 :rule trans :premises (@p509 @p508)) % 35.44/35.68 (step @p511 :rule eq-symm :args (@t24 @t2)) % 35.44/35.68 (step @p512 :rule nary_cong :premises (@p367 @p511) :args (@t25)) % 35.44/35.68 (step @p513 :rule cong :premises (@p512) :args (@t26)) % 35.44/35.68 (step @p514 :rule trans :premises (@p513 @p510)) % 35.44/35.68 (step @p515 :rule nary_cong :premises (@p371 @p514) :args (@t27)) % 35.44/35.68 (step @p516 :rule cong :premises (@p515) :args (@t28)) % 35.44/35.68 (step @p517 :rule trans :premises (@p516 @p505)) % 35.44/35.68 (step @p518 :rule refl :args (@t29)) % 35.44/35.68 (step @p519 :rule cong :premises (@p518 @p517) :args (@t30)) % 35.44/35.68 (step @p520 :rule cong :premises (@p375 @p519) :args (@t31)) % 35.44/35.68 (step @p521 :rule cong :premises (@p520) :args (@t32)) % 35.44/35.68 (step @p522 :rule trans :premises (@p521 @p485)) % 35.44/35.68 (step @p523 :rule cong :premises (@p379 @p522) :args (@t33)) % 35.44/35.68 (step @p524 :rule cong :premises (@p523) :args (@t34)) % 35.44/35.68 (step @p525 :rule trans :premises (@p524 @p483)) % 35.44/35.68 (step @p526 :rule eq_resolve :premises (@p7 @p525)) % 35.44/35.68 (step @p527 :rule instantiate :premises (@p526) :args ((@list @t307 @t307))) % 35.44/35.68 (step @p528 :rule bool-double-not-elim :args (@t324)) % 35.44/35.68 (step @p529 :rule nary_cong :premises (@p438 @p528) :args ((or @t326 (not @t325)))) % 35.44/35.68 (step @p530 :rule cnf_or_neg :args (@t326 0)) % 35.44/35.68 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 35.44/35.68 (step @p532 :rule reordering :premises (@p531) :args ((or @t324 @t326))) % 35.44/35.68 (step @p533 :rule chain_m_resolution :premises (@p532 @p416) :args (@t324 @t339 @t340)) % 35.44/35.68 (step @p534 :rule cnf_or_pos :args (@t396)) % 35.44/35.68 (step @p535 :rule factoring :premises (@p534)) % 35.44/35.68 (step @p536 :rule reordering :premises (@p535) :args ((or @t325 @t395 (not @t396)))) % 35.44/35.68 (step @p537 :rule chain_m_resolution :premises (@p536 @p533 @p527) :args (@t395 @t397 (@list @t324 @t396))) % 35.44/35.68 (step @p538 :rule bool-impl-elim :args (@t17 @t65)) % 35.44/35.68 (step @p539 :rule cong :premises (@p538) :args (@t66)) % 35.44/35.68 (step @p540 :rule eq_resolve :premises (@p55 @p539)) % 35.44/35.68 (step @p541 :rule instantiate :premises (@p540) :args ((@list @t307))) % 35.44/35.68 (step @p542 :rule cnf_or_pos :args (@t398)) % 35.44/35.68 (step @p543 :rule reordering :premises (@p542) :args ((or @t325 @t394 (not @t398)))) % 35.44/35.68 (step @p544 :rule chain_m_resolution :premises (@p543 @p533 @p541) :args (@t394 @t397 (@list @t324 @t398))) % 35.44/35.68 (step @p545 :rule cnf_equiv_pos1 :args (@t395)) % 35.44/35.68 (step @p546 :rule reordering :premises (@p545) :args ((or @t393 (not @t394) (not @t395)))) % 35.44/35.68 (step @p547 :rule chain_m_resolution :premises (@p546 @p544 @p537) :args (@t393 @t397 (@list @t394 @t395))) % 35.44/35.68 (step @p548 :rule skolemize :premises (@p547)) % 35.44/35.68 (step @p549 :rule bool-double-not-elim :args (@t399)) % 35.44/35.68 (step @p550 :rule refl :args (@t401)) % 35.44/35.68 (step @p551 :rule nary_cong :premises (@p550 @p549) :args ((or @t401 (not @t400)))) % 35.44/35.68 (step @p552 :rule cnf_or_neg :args (@t401 2)) % 35.44/35.68 (step @p553 :rule eq_resolve :premises (@p552 @p551)) % 35.44/35.68 (step @p554 :rule reordering :premises (@p553) :args ((or @t399 @t401))) % 35.44/35.68 (step @p555 :rule chain_m_resolution :premises (@p554 @p548) :args (@t399 @t339 @t402)) % 35.44/35.68 (step @p556 :rule trans :premises (@p555 @p469)) % 35.44/35.68 (step @p557 :rule bool-double-not-elim :args (@t352)) % 35.44/35.68 (step @p558 :rule nary_cong :premises (@p550 @p557) :args ((or @t401 (not @t353)))) % 35.44/35.68 (step @p559 :rule cnf_or_neg :args (@t401 1)) % 35.44/35.68 (step @p560 :rule eq_resolve :premises (@p559 @p558)) % 35.44/35.68 (step @p561 :rule reordering :premises (@p560) :args ((or @t352 @t401))) % 35.44/35.68 (step @p562 :rule chain_m_resolution :premises (@p561 @p548) :args (@t352 @t339 @t402)) % 35.44/35.68 (step @p563 :rule bool-double-not-elim :args (@t354)) % 35.44/35.68 (step @p564 :rule nary_cong :premises (@p550 @p563) :args ((or @t401 (not @t355)))) % 35.44/35.68 (step @p565 :rule cnf_or_neg :args (@t401 0)) % 35.44/35.68 (step @p566 :rule eq_resolve :premises (@p565 @p564)) % 35.44/35.68 (step @p567 :rule reordering :premises (@p566) :args ((or @t354 @t401))) % 35.44/35.68 (step @p568 :rule chain_m_resolution :premises (@p567 @p548) :args (@t354 @t339 @t402)) % 35.44/35.68 (step @p569 :rule cnf_or_pos :args (@t359)) % 35.44/35.68 (step @p570 :rule reordering :premises (@p569) :args ((or @t318 @t355 @t353 @t349 @t358 (not @t359)))) % 35.44/35.68 (step @p571 :rule chain_m_resolution :premises (@p570 @p436 @p568 @p562 @p556 @p459) :args (@t349 (@list false false false false false) (@list @t317 @t354 @t352 @t357 @t359))) % 35.44/35.68 (step @p572 :rule skolemize :premises (@p571)) % 35.44/35.68 (step @p573 :rule bool-double-not-elim :args (@t404)) % 35.44/35.68 (step @p574 :rule refl :args (@t409)) % 35.44/35.68 (step @p575 :rule nary_cong :premises (@p574 @p573) :args ((or @t409 (not @t408)))) % 35.44/35.68 (step @p576 :rule cnf_or_neg :args (@t409 0)) % 35.44/35.68 (step @p577 :rule eq_resolve :premises (@p576 @p575)) % 35.44/35.68 (step @p578 :rule reordering :premises (@p577) :args ((or @t404 @t409))) % 35.44/35.68 (step @p579 :rule chain_m_resolution :premises (@p578 @p572) :args (@t404 @t339 @t410)) % 35.44/35.68 (step @p580 :rule aci_norm :args ((= @t416 (or @t414 @t413 @t412)))) % 35.44/35.68 (step @p581 :rule cong :premises (@p580) :args (@t417)) % 35.44/35.68 (step @p582 :rule quant-merge-prenex :args ((= (forall @t9 @t419) @t417))) % 35.44/35.69 (step @p583 :rule alpha_equiv :args (@t420 (@list @t411) @t371)) % 35.44/35.69 (step @p584 :rule refl :args (@t414)) % 35.44/35.69 (step @p585 :rule nary_cong :premises (@p584 @p583) :args (@t421)) % 35.44/35.69 (step @p586 :rule quant-miniscope-or :args ((= @t419 @t421))) % 35.44/35.69 (step @p587 :rule trans :premises (@p586 @p585)) % 35.44/35.69 (step @p588 :rule symm :premises (@p587)) % 35.44/35.69 (step @p589 :rule cong :premises (@p588) :args ((forall @t9 (or @t414 @t422)))) % 35.44/35.69 (step @p590 :rule trans :premises (@p589 @p582)) % 35.44/35.69 (step @p591 :rule trans :premises (@p590 @p581)) % 35.44/35.69 (step @p592 :rule bool-impl-elim :args (@t8 @t422)) % 35.44/35.69 (step @p593 :rule cong :premises (@p592) :args ((forall @t9 (=> @t8 @t422)))) % 35.44/35.69 (step @p594 :rule trans :premises (@p593 @p591)) % 35.44/35.69 (step @p595 :rule bool-impl-elim :args (@t6 @t73)) % 35.44/35.69 (step @p596 :rule cong :premises (@p595) :args (@t74)) % 35.44/35.69 (step @p597 :rule refl :args (@t8)) % 35.44/35.69 (step @p598 :rule cong :premises (@p597 @p596) :args (@t75)) % 35.44/35.69 (step @p599 :rule cong :premises (@p598) :args (@t76)) % 35.44/35.69 (step @p600 :rule trans :premises (@p599 @p594)) % 35.44/35.69 (step @p601 :rule eq_resolve :premises (@p93 @p600)) % 35.44/35.69 (step @p602 :rule instantiate :premises (@p601) :args ((@list @t313 @t403))) % 35.44/35.69 (step @p603 :rule cnf_or_neg :args (@t409 4)) % 35.44/35.69 (step @p604 :rule chain_m_resolution :premises (@p603 @p572) :args ((not @t405) @t339 @t410)) % 35.44/35.69 (step @p605 :rule cnf_and_pos :args (@t423 1)) % 35.44/35.69 (step @p606 :rule reordering :premises (@p605) :args ((or @t405 @t424))) % 35.44/35.69 (step @p607 :rule chain_m_resolution :premises (@p606 @p604) :args (@t424 @t339 (@list @t405))) % 35.44/35.69 (step @p608 :rule bool-double-not-elim :args (@t406)) % 35.44/35.69 (step @p609 :rule nary_cong :premises (@p574 @p608) :args ((or @t409 (not @t407)))) % 35.44/35.69 (step @p610 :rule cnf_or_neg :args (@t409 3)) % 35.44/35.69 (step @p611 :rule eq_resolve :premises (@p610 @p609)) % 35.44/35.69 (step @p612 :rule reordering :premises (@p611) :args ((or @t406 @t409))) % 35.44/35.69 (step @p613 :rule chain_m_resolution :premises (@p612 @p572) :args (@t406 @t339 @t410)) % 35.44/35.69 (step @p614 :rule cnf_equiv_pos1 :args (@t425)) % 35.44/35.69 (step @p615 :rule reordering :premises (@p614) :args ((or @t407 @t423 @t426))) % 35.44/35.69 (step @p616 :rule chain_m_resolution :premises (@p615 @p613 @p607) :args (@t426 (@list false true) (@list @t406 @t423))) % 35.44/35.69 (step @p617 :rule cnf_or_pos :args (@t427)) % 35.44/35.69 (step @p618 :rule reordering :premises (@p617) :args ((or @t318 @t408 @t425 (not @t427)))) % 35.44/35.69 (step @p619 false :rule chain_m_resolution :premises (@p618 @p616 @p602 @p579 @p436) :args (false (@list true false false false) (@list @t425 @t427 @t404 @t317))) % 35.44/35.69 ) % 35.44/35.69 % SZS output end Proof % 35.44/35.69 % cvc5 exiting %------------------------------------------------------------------------------