%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC008+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:57:41 AM UTC 2026 % Result : Theorem 34.39s 34.72s % Output : Proof 34.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC008+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:09:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 34.39/34.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.39/34.72 --- Run --no-e-matching --full-saturate-quant at 6... % 34.39/34.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.39/34.72 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.39/34.72 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.39/34.72 % SZS status Theorem % 34.39/34.72 % SZS output start Proof % 34.39/34.72 ( % 34.39/34.72 (declare-sort $$unsorted 0) % 34.39/34.72 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.39/34.72 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.39/34.72 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.39/34.72 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.39/34.72 (declare-const tptp.nil $$unsorted) % 34.39/34.72 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.39/34.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.39/34.72 (define @t1 () (@var "V" $$unsorted)) % 34.39/34.72 (define @t2 () (@var "U" $$unsorted)) % 34.39/34.72 (define @t3 () (= @t2 @t1)) % 34.39/34.72 (define @t4 () (not @t3)) % 34.39/34.72 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 34.39/34.72 (define @t6 () (tptp.ssItem @t1)) % 34.39/34.72 (define @t7 () (@list @t1)) % 34.39/34.72 (define @t8 () (tptp.ssItem @t2)) % 34.39/34.72 (define @t9 () (@list @t2)) % 34.39/34.72 (define @t10 () (@var "X" $$unsorted)) % 34.39/34.72 (define @t11 () (tptp.cons @t1 @t10)) % 34.39/34.72 (define @t12 () (@var "W" $$unsorted)) % 34.39/34.72 (define @t13 () (tptp.ssList @t10)) % 34.39/34.72 (define @t14 () (@list @t10)) % 34.39/34.72 (define @t15 () (tptp.ssList @t12)) % 34.39/34.72 (define @t16 () (@list @t12)) % 34.39/34.72 (define @t17 () (tptp.ssList @t2)) % 34.39/34.72 (define @t18 () (tptp.cons @t1 tptp.nil)) % 34.39/34.72 (define @t19 () (tptp.app @t1 @t12)) % 34.39/34.72 (define @t20 () (and @t15 (= @t19 @t2))) % 34.39/34.72 (define @t21 () (exists @t16 @t20)) % 34.39/34.72 (define @t22 () (tptp.frontsegP @t2 @t1)) % 34.39/34.72 (define @t23 () (= @t22 @t21)) % 34.39/34.72 (define @t24 () (tptp.ssList @t1)) % 34.39/34.72 (define @t25 () (=> @t24 @t23)) % 34.39/34.72 (define @t26 () (forall @t7 @t25)) % 34.39/34.72 (define @t27 () (=> @t17 @t26)) % 34.39/34.72 (define @t28 () (forall @t9 @t27)) % 34.39/34.72 (define @t29 () (tptp.app @t12 @t1)) % 34.39/34.72 (define @t30 () (tptp.rearsegP @t2 @t1)) % 34.39/34.72 (define @t31 () (tptp.segmentP @t2 @t1)) % 34.39/34.72 (define @t32 () (tptp.leq @t12 @t1)) % 34.39/34.72 (define @t33 () (tptp.leq @t1 @t12)) % 34.39/34.72 (define @t34 () (@var "Z" $$unsorted)) % 34.39/34.72 (define @t35 () (@var "Y" $$unsorted)) % 34.39/34.72 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 34.39/34.73 (define @t37 () (tptp.ssList @t34)) % 34.39/34.73 (define @t38 () (@list @t34)) % 34.39/34.73 (define @t39 () (tptp.ssList @t35)) % 34.39/34.73 (define @t40 () (@list @t35)) % 34.39/34.73 (define @t41 () (tptp.ssItem @t12)) % 34.39/34.73 (define @t42 () (tptp.lt @t1 @t12)) % 34.39/34.73 (define @t43 () (= @t1 @t12)) % 34.39/34.73 (define @t44 () (tptp.equalelemsP @t2)) % 34.39/34.73 (define @t45 () (tptp.cons @t1 @t2)) % 34.39/34.73 (define @t46 () (tptp.ssList tptp.nil)) % 34.39/34.73 (define @t47 () (= @t1 @t2)) % 34.39/34.73 (define @t48 () (tptp.cons @t12 @t1)) % 34.39/34.73 (define @t49 () (= tptp.nil @t2)) % 34.39/34.73 (define @t50 () (tptp.hd @t2)) % 34.39/34.73 (define @t51 () (not @t49)) % 34.39/34.73 (define @t52 () (tptp.tl @t2)) % 34.39/34.73 (define @t53 () (tptp.app @t2 @t1)) % 34.39/34.73 (define @t54 () (tptp.app @t1 @t2)) % 34.39/34.73 (define @t55 () (tptp.leq @t1 @t2)) % 34.39/34.73 (define @t56 () (tptp.leq @t2 @t1)) % 34.39/34.73 (define @t57 () (tptp.geq @t2 @t1)) % 34.39/34.73 (define @t58 () (tptp.lt @t1 @t2)) % 34.39/34.73 (define @t59 () (tptp.lt @t2 @t1)) % 34.39/34.73 (define @t60 () (tptp.lt @t2 @t12)) % 34.39/34.73 (define @t61 () (tptp.gt @t2 @t1)) % 34.39/34.73 (define @t62 () (tptp.memberP @t12 @t2)) % 34.39/34.73 (define @t63 () (tptp.frontsegP @t1 @t12)) % 34.39/34.73 (define @t64 () (tptp.frontsegP @t1 @t2)) % 34.39/34.73 (define @t65 () (tptp.app @t12 @t2)) % 34.39/34.73 (define @t66 () (tptp.cons @t2 tptp.nil)) % 34.39/34.73 (define @t67 () (tptp.hd @t1)) % 34.39/34.73 (define @t68 () (= tptp.nil @t1)) % 34.39/34.73 (define @t69 () (not @t68)) % 34.39/34.73 (define @t70 () (tptp.cons @t2 @t1)) % 34.39/34.73 (define @t71 () (= @t12 @t2)) % 34.39/34.73 (define @t72 () (tptp.app @t2 tptp.nil)) % 34.39/34.73 (define @t73 () (=> @t17 (= @t72 @t2))) % 34.39/34.73 (define @t74 () (forall @t9 @t73)) % 34.39/34.73 (define @t75 () (@var "X2" $$unsorted)) % 34.39/34.73 (define @t76 () (tptp.equalelemsP @t75)) % 34.39/34.73 (define @t77 () (tptp.segmentP @t75 @t12)) % 34.39/34.73 (define @t78 () (tptp.frontsegP @t10 @t75)) % 34.39/34.73 (define @t79 () (tptp.neq @t12 @t75)) % 34.39/34.73 (define @t80 () (tptp.ssList @t75)) % 34.39/34.73 (define @t81 () (and @t80 @t79 @t78 @t77 @t76)) % 34.39/34.73 (define @t82 () (@list @t75)) % 34.39/34.73 (define @t83 () (exists @t82 @t81)) % 34.39/34.73 (define @t84 () (@var "X1" $$unsorted)) % 34.39/34.73 (define @t85 () (tptp.app @t35 @t84)) % 34.39/34.73 (define @t86 () (tptp.app @t35 @t34)) % 34.39/34.73 (define @t87 () (tptp.app @t86 @t84)) % 34.39/34.73 (define @t88 () (tptp.ssList @t84)) % 34.39/34.73 (define @t89 () (and @t88 (= @t87 @t1) (= @t85 @t2))) % 34.39/34.73 (define @t90 () (@list @t84)) % 34.39/34.73 (define @t91 () (exists @t90 @t89)) % 34.39/34.73 (define @t92 () (and @t37 @t91)) % 34.39/34.73 (define @t93 () (exists @t38 @t92)) % 34.39/34.73 (define @t94 () (and @t39 @t93)) % 34.39/34.73 (define @t95 () (exists @t40 @t94)) % 34.39/34.73 (define @t96 () (not (tptp.equalelemsP @t12))) % 34.39/34.73 (define @t97 () (not (tptp.frontsegP @t10 @t12))) % 34.39/34.73 (define @t98 () (not (= @t2 @t12))) % 34.39/34.73 (define @t99 () (not (= @t1 @t10))) % 34.39/34.73 (define @t100 () (or @t99 @t98 @t97 @t96 @t95 @t83)) % 34.39/34.73 (define @t101 () (=> @t13 @t100)) % 34.39/34.73 (define @t102 () (forall @t14 @t101)) % 34.39/34.73 (define @t103 () (=> @t15 @t102)) % 34.39/34.73 (define @t104 () (forall @t16 @t103)) % 34.39/34.73 (define @t105 () (=> @t24 @t104)) % 34.39/34.73 (define @t106 () (forall @t7 @t105)) % 34.39/34.73 (define @t107 () (=> @t17 @t106)) % 34.39/34.73 (define @t108 () (forall @t9 @t107)) % 34.39/34.73 (define @t109 () (not @t108)) % 34.39/34.73 (define @t110 () (= @t2 @t72)) % 34.39/34.73 (define @t111 () (not @t76)) % 34.39/34.73 (define @t112 () (not (tptp.segmentP @t75 @t2))) % 34.39/34.73 (define @t113 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 34.39/34.73 (define @t114 () (not (tptp.neq @t2 @t75))) % 34.39/34.73 (define @t115 () (not @t80)) % 34.39/34.73 (define @t116 () (not (forall @t82 (or @t115 @t114 (not (tptp.frontsegP @t113 @t75)) @t112 @t111)))) % 34.39/34.73 (define @t117 () (not (tptp.frontsegP @t113 @t2))) % 34.39/34.73 (define @t118 () (@var "BOUND_VARIABLE_10983" $$unsorted)) % 34.39/34.73 (define @t119 () (tptp.app @t35 @t118)) % 34.39/34.73 (define @t120 () (not (= @t2 @t119))) % 34.39/34.73 (define @t121 () (@var "BOUND_VARIABLE_10981" $$unsorted)) % 34.39/34.73 (define @t122 () (tptp.app (tptp.app @t35 @t121) @t118)) % 34.39/34.73 (define @t123 () (not (tptp.ssList @t118))) % 34.39/34.73 (define @t124 () (not (tptp.ssList @t121))) % 34.39/34.73 (define @t125 () (not @t39)) % 34.39/34.73 (define @t126 () (@list @t35 @t121 @t118)) % 34.39/34.73 (define @t127 () (not (tptp.ssList @t113))) % 34.39/34.73 (define @t128 () (not @t44)) % 34.39/34.73 (define @t129 () (not @t17)) % 34.39/34.73 (define @t130 () (@list @t2 @t113)) % 34.39/34.73 (define @t131 () (forall @t130 (or @t129 @t128 @t127 (not (forall @t126 (or @t125 @t124 @t123 (not (= @t122 @t113)) @t120))) @t117 @t116))) % 34.39/34.73 (define @t132 () (@quantifiers_skolemize @t131 1)) % 34.39/34.73 (define @t133 () (not (= @t113 @t122))) % 34.39/34.73 (define @t134 () (or @t125 @t124 @t123 @t133 @t120)) % 34.39/34.73 (define @t135 () (forall @t126 @t134)) % 34.39/34.73 (define @t136 () (not @t135)) % 34.39/34.73 (define @t137 () (or @t129 @t128 @t127 @t136 @t117 @t116)) % 34.39/34.73 (define @t138 () (or @t127 @t136 @t117 @t116)) % 34.39/34.73 (define @t139 () (or @t129 @t128 @t138)) % 34.39/34.73 (define @t140 () (forall @t130 @t139)) % 34.39/34.73 (define @t141 () (@list @t113)) % 34.39/34.73 (define @t142 () (forall @t141 @t139)) % 34.39/34.73 (define @t143 () (forall @t141 @t138)) % 34.39/34.73 (define @t144 () (@list @t1)) % 34.39/34.73 (define @t145 () (or @t129 @t128 @t143)) % 34.39/34.73 (define @t146 () (not (tptp.frontsegP @t1 @t75))) % 34.39/34.73 (define @t147 () (not (forall @t82 (or @t115 @t114 @t146 @t112 @t111)))) % 34.39/34.73 (define @t148 () (not @t64)) % 34.39/34.73 (define @t149 () (not (= @t1 @t122))) % 34.39/34.73 (define @t150 () (or @t125 @t124 @t123 @t149 @t120)) % 34.39/34.73 (define @t151 () (not (forall @t126 @t150))) % 34.39/34.73 (define @t152 () (not @t24)) % 34.39/34.73 (define @t153 () (or @t152 @t151 @t148 @t147)) % 34.39/34.73 (define @t154 () (or @t129 @t128 (forall @t7 @t153))) % 34.39/34.73 (define @t155 () (or @t129 @t128 @t153)) % 34.39/34.73 (define @t156 () (or @t152 @t151 @t129 @t128 @t148 @t147)) % 34.39/34.73 (define @t157 () (or @t151 @t152 @t129 @t128 @t148 @t147)) % 34.39/34.73 (define @t158 () (or @t129 @t128 @t148 @t147)) % 34.39/34.73 (define @t159 () (not (= @t2 @t2))) % 34.39/34.73 (define @t160 () (or @t129 @t159 @t128 @t148 @t147)) % 34.39/34.73 (define @t161 () (not @t77)) % 34.39/34.73 (define @t162 () (not @t79)) % 34.39/34.73 (define @t163 () (not (forall @t82 (or @t115 @t162 @t146 @t161 @t111)))) % 34.39/34.73 (define @t164 () (not @t63)) % 34.39/34.73 (define @t165 () (not @t15)) % 34.39/34.73 (define @t166 () (or @t98 @t165 @t98 @t96 @t164 @t163)) % 34.39/34.73 (define @t167 () (or @t165 @t98 @t96 @t164 @t163)) % 34.39/34.73 (define @t168 () (forall @t16 @t167)) % 34.39/34.73 (define @t169 () (or @t151 @t152 @t168)) % 34.39/34.73 (define @t170 () (or @t151 @t152 @t167)) % 34.39/34.73 (define @t171 () (or @t165 @t98 @t96 @t151 @t152 @t164 @t163)) % 34.39/34.73 (define @t172 () (or @t98 @t96 @t151 @t152 @t164 @t163)) % 34.39/34.73 (define @t173 () (or @t152 @t164 @t163)) % 34.39/34.73 (define @t174 () (not (= @t1 @t1))) % 34.39/34.73 (define @t175 () (or @t152 @t174 @t164 @t163)) % 34.39/34.73 (define @t176 () (not @t78)) % 34.39/34.73 (define @t177 () (or @t115 @t162 @t176 @t161 @t111)) % 34.39/34.73 (define @t178 () (not (forall @t82 @t177))) % 34.39/34.73 (define @t179 () (not @t13)) % 34.39/34.73 (define @t180 () (or @t99 @t179 @t99 @t97 @t178)) % 34.39/34.73 (define @t181 () (or @t179 @t99 @t97 @t178)) % 34.39/34.73 (define @t182 () (forall @t14 @t181)) % 34.39/34.73 (define @t183 () (or @t98 @t96 @t151 @t182)) % 34.39/34.73 (define @t184 () (or @t98 @t96 @t151 @t181)) % 34.39/34.73 (define @t185 () (or @t179 @t99 @t98 @t97 @t96 @t151 @t178)) % 34.39/34.73 (define @t186 () (or @t99 @t98 @t97 @t96 @t151 @t178)) % 34.39/34.73 (define @t187 () (forall @t82 (not @t81))) % 34.39/34.73 (define @t188 () (not @t187)) % 34.39/34.73 (define @t189 () (or @t124 @t123 @t149 @t120)) % 34.39/34.73 (define @t190 () (or @t125 @t189)) % 34.39/34.73 (define @t191 () (forall @t126 @t190)) % 34.39/34.73 (define @t192 () (@list @t121 @t118)) % 34.39/34.73 (define @t193 () (forall @t192 @t190)) % 34.39/34.73 (define @t194 () (forall @t192 @t189)) % 34.39/34.73 (define @t195 () (@var "BOUND_VARIABLE_10957" $$unsorted)) % 34.39/34.73 (define @t196 () (or @t125 @t194)) % 34.39/34.73 (define @t197 () (not (= @t2 (tptp.app @t35 @t195)))) % 34.39/34.73 (define @t198 () (not (= @t1 (tptp.app @t86 @t195)))) % 34.39/34.73 (define @t199 () (not (tptp.ssList @t195))) % 34.39/34.73 (define @t200 () (not @t37)) % 34.39/34.73 (define @t201 () (or @t200 @t199 @t198 @t197)) % 34.39/34.73 (define @t202 () (@list @t34 @t195)) % 34.39/34.73 (define @t203 () (forall @t202 @t201)) % 34.39/34.73 (define @t204 () (not @t203)) % 34.39/34.73 (define @t205 () (and @t39 @t204)) % 34.39/34.73 (define @t206 () (forall @t40 (not @t205))) % 34.39/34.73 (define @t207 () (not @t206)) % 34.39/34.73 (define @t208 () (or @t199 @t198 @t197)) % 34.39/34.73 (define @t209 () (or @t200 @t208)) % 34.39/34.73 (define @t210 () (forall @t202 @t209)) % 34.39/34.73 (define @t211 () (@list @t195)) % 34.39/34.73 (define @t212 () (forall @t211 @t209)) % 34.39/34.73 (define @t213 () (forall @t211 @t208)) % 34.39/34.73 (define @t214 () (or @t200 @t213)) % 34.39/34.73 (define @t215 () (= @t2 @t85)) % 34.39/34.73 (define @t216 () (not @t215)) % 34.39/34.73 (define @t217 () (= @t1 @t87)) % 34.39/34.73 (define @t218 () (not @t217)) % 34.39/34.73 (define @t219 () (not @t88)) % 34.39/34.73 (define @t220 () (or @t219 @t218 @t216)) % 34.39/34.73 (define @t221 () (forall @t90 @t220)) % 34.39/34.73 (define @t222 () (not @t221)) % 34.39/34.73 (define @t223 () (and @t37 @t222)) % 34.39/34.73 (define @t224 () (forall @t38 (not @t223))) % 34.39/34.73 (define @t225 () (not @t224)) % 34.39/34.73 (define @t226 () (and @t88 @t217 @t215)) % 34.39/34.73 (define @t227 () (forall @t90 (not @t226))) % 34.39/34.73 (define @t228 () (not @t227)) % 34.39/34.73 (define @t229 () (@quantifiers_skolemize @t131 0)) % 34.39/34.73 (define @t230 () (not (forall @t82 (or @t115 (not (tptp.neq @t229 @t75)) (not (tptp.frontsegP @t132 @t75)) (not (tptp.segmentP @t75 @t229)) @t111)))) % 34.39/34.73 (define @t231 () (tptp.frontsegP @t132 @t229)) % 34.39/34.73 (define @t232 () (not @t231)) % 34.39/34.73 (define @t233 () (not (= @t122 @t132))) % 34.39/34.73 (define @t234 () (forall @t126 (or @t125 @t124 @t123 @t233 (not (= @t119 @t229))))) % 34.39/34.73 (define @t235 () (not @t234)) % 34.39/34.73 (define @t236 () (tptp.ssList @t132)) % 34.39/34.73 (define @t237 () (not @t236)) % 34.39/34.73 (define @t238 () (not (tptp.equalelemsP @t229))) % 34.39/34.73 (define @t239 () (tptp.ssList @t229)) % 34.39/34.73 (define @t240 () (not @t239)) % 34.39/34.73 (define @t241 () (or @t240 @t238 @t237 @t235 @t232 @t230)) % 34.39/34.73 (define @t242 () (not @t241)) % 34.39/34.73 (define @t243 () (not @t131)) % 34.39/34.73 (define @t244 () (not (= @t229 @t119))) % 34.39/34.73 (define @t245 () (or @t125 @t124 @t123 @t233 @t244)) % 34.39/34.73 (define @t246 () (forall @t126 @t245)) % 34.39/34.73 (define @t247 () (not @t246)) % 34.39/34.73 (define @t248 () (or @t240 @t238 @t237 @t247 @t232 @t230)) % 34.39/34.73 (define @t249 () (not @t248)) % 34.39/34.73 (define @t250 () (@list true)) % 34.39/34.73 (define @t251 () (@list @t241)) % 34.39/34.73 (define @t252 () (tptp.app @t132 tptp.nil)) % 34.39/34.73 (define @t253 () (= @t132 @t252)) % 34.39/34.73 (define @t254 () (or @t237 @t253)) % 34.39/34.73 (define @t255 () (@list false false)) % 34.39/34.73 (define @t256 () (@list @t236 @t254)) % 34.39/34.73 (define @t257 () (@var "BOUND_VARIABLE_8322" $$unsorted)) % 34.39/34.73 (define @t258 () (= (tptp.frontsegP @t2 @t257) (not (forall @t16 (or @t165 (not (= @t2 (tptp.app @t257 @t12)))))))) % 34.39/34.73 (define @t259 () (not (tptp.ssList @t257))) % 34.39/34.73 (define @t260 () (or @t259 @t258)) % 34.39/34.73 (define @t261 () (or @t129 @t260)) % 34.39/34.73 (define @t262 () (forall (@list @t2 @t257) @t261)) % 34.39/34.73 (define @t263 () (@list @t257)) % 34.39/34.73 (define @t264 () (forall @t263 @t261)) % 34.39/34.73 (define @t265 () (forall @t263 @t260)) % 34.39/34.73 (define @t266 () (or @t129 @t265)) % 34.39/34.73 (define @t267 () (= @t2 @t19)) % 34.39/34.73 (define @t268 () (= @t22 (not (forall @t16 (or @t165 (not @t267)))))) % 34.39/34.73 (define @t269 () (forall @t7 (or @t152 @t268))) % 34.39/34.73 (define @t270 () (and @t15 @t267)) % 34.39/34.73 (define @t271 () (forall @t16 (not @t270))) % 34.39/34.73 (define @t272 () (not @t271)) % 34.39/34.73 (define @t273 () (forall @t16 (or @t165 (not (= @t132 (tptp.app @t229 @t12)))))) % 34.39/34.73 (define @t274 () (not @t273)) % 34.39/34.73 (define @t275 () (= @t231 @t274)) % 34.39/34.73 (define @t276 () (or @t237 @t240 @t275)) % 34.39/34.73 (define @t277 () (@quantifiers_skolemize @t273 0)) % 34.39/34.73 (define @t278 () (tptp.app @t229 @t277)) % 34.39/34.73 (define @t279 () (= @t132 @t278)) % 34.39/34.73 (define @t280 () (not @t279)) % 34.39/34.73 (define @t281 () (tptp.ssList @t277)) % 34.39/34.73 (define @t282 () (not @t281)) % 34.39/34.73 (define @t283 () (or @t282 @t280)) % 34.39/34.73 (define @t284 () (@list @t283)) % 34.39/34.73 (define @t285 () (tptp.app @t229 tptp.nil)) % 34.39/34.73 (define @t286 () (not (= @t285 @t229))) % 34.39/34.73 (define @t287 () (tptp.app @t278 tptp.nil)) % 34.39/34.73 (define @t288 () (not (= @t287 @t132))) % 34.39/34.73 (define @t289 () (not @t46)) % 34.39/34.73 (define @t290 () (or @t240 @t282 @t289 @t288 @t286)) % 34.39/34.73 (define @t291 () (= @t229 @t285)) % 34.39/34.73 (define @t292 () (not @t291)) % 34.39/34.73 (define @t293 () (= @t132 @t287)) % 34.39/34.73 (define @t294 () (not @t293)) % 34.39/34.73 (define @t295 () (or @t240 @t282 @t289 @t294 @t292)) % 34.39/34.73 (define @t296 () (or @t240 @t291)) % 34.39/34.73 (define @t297 () (not @t253)) % 34.39/34.73 (define @t298 () (and @t294 @t293)) % 34.39/34.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 34.39/34.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 34.39/34.73 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 34.39/34.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 34.39/34.73 (assume @p5 @t28) % 34.39/34.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2))))))))) % 34.39/34.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t29 @t10) @t2))))))))))) % 34.39/34.73 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not (and @t33 @t32))))))))))))))))) % 34.39/34.73 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t33 @t32)))))))))))))))) % 34.39/34.73 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t42 (tptp.lt @t12 @t1))))))))))))))))) % 34.39/34.73 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t33))))))))))))))) % 34.39/34.73 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t42))))))))))))))) % 34.39/34.73 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not @t43)))))))))))))))) % 34.39/34.73 (assume @p14 (forall @t9 (=> @t17 (= @t44 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t35))) @t2) @t43))))))))))))) % 34.39/34.73 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t24 @t5))))) % 34.39/34.73 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t45)))))) % 34.39/34.73 (assume @p17 @t46) % 34.39/34.73 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t45 @t2))))))) % 34.39/34.73 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t47))))))))))) % 34.39/34.73 (assume @p20 (forall @t9 (=> @t17 (or @t49 (exists @t7 (and @t24 (exists @t16 (and @t41 (= @t48 @t2))))))))) % 34.39/34.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t45))))))) % 34.39/34.73 (assume @p22 (forall @t9 (=> @t17 (=> @t51 (tptp.ssItem @t50))))) % 34.39/34.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t45) @t1)))))) % 34.39/34.73 (assume @p24 (forall @t9 (=> @t17 (=> @t51 (tptp.ssList @t52))))) % 34.39/34.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t45) @t2)))))) % 34.39/34.73 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t53)))))) % 34.39/34.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t54) (tptp.app @t48 @t2))))))))) % 34.39/34.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 34.39/34.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 @t55) @t3)))))) % 34.39/34.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t56 @t33) (tptp.leq @t2 @t12))))))))) % 34.39/34.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 34.39/34.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t55)))))) % 34.39/34.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (not @t58))))))) % 34.39/34.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t59 @t42) @t60)))))))) % 34.39/34.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 @t58)))))) % 34.39/34.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t62))))))))) % 34.39/34.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t62))))))))) % 34.39/34.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 34.39/34.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 34.39/34.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 @t63) (tptp.frontsegP @t2 @t12))))))))) % 34.39/34.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 @t64) @t3)))))) % 34.39/34.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 34.39/34.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 34.39/34.73 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 34.39/34.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 34.39/34.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t49)))) % 34.39/34.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 34.39/34.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3)))))) % 34.39/34.73 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 34.39/34.73 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t65 @t1))))))))) % 34.39/34.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 34.39/34.73 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t49)))) % 34.39/34.73 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 34.39/34.73 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 34.39/34.73 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 34.39/34.73 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t31 (tptp.segmentP (tptp.app @t65 @t10) @t1))))))))))) % 34.39/34.73 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 34.39/34.73 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t49)))) % 34.39/34.73 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t66)))) % 34.39/34.73 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 34.39/34.73 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t66)))) % 34.39/34.73 (assume @p62 (tptp.totalorderP tptp.nil)) % 34.39/34.73 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t66)))) % 34.39/34.73 (assume @p64 (tptp.strictorderP tptp.nil)) % 34.39/34.73 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t66)))) % 34.39/34.73 (assume @p66 (tptp.totalorderedP tptp.nil)) % 34.39/34.73 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t70) (or @t68 (and @t69 (tptp.totalorderedP @t1) (tptp.leq @t2 @t67))))))))) % 34.39/34.73 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t66)))) % 34.39/34.73 (assume @p69 (tptp.strictorderedP tptp.nil)) % 34.39/34.73 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t70) (or @t68 (and @t69 (tptp.strictorderedP @t1) (tptp.lt @t2 @t67))))))))) % 34.39/34.73 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t66)))) % 34.39/34.73 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 34.39/34.73 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t66)))) % 34.39/34.73 (assume @p74 (tptp.equalelemsP tptp.nil)) % 34.39/34.73 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t50 @t1))))))) % 34.39/34.73 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t24 (= @t52 @t1))))))) % 34.39/34.73 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t69 @t51 (= @t67 @t50) (= (tptp.tl @t1) @t52)) @t47)))))) % 34.39/34.73 (assume @p78 (forall @t9 (=> @t17 (=> @t51 (= (tptp.cons @t50 @t52) @t2))))) % 34.39/34.73 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t53) @t71)))))))) % 34.39/34.73 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t54) @t71)))))))) % 34.39/34.73 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t45 (tptp.app @t18 @t2))))))) % 34.39/34.73 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t53 @t12) (tptp.app @t2 @t19))))))))) % 34.39/34.73 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= (= tptp.nil @t53) (and @t68 @t49))))))) % 34.39/34.73 (assume @p84 @t74) % 34.39/34.73 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t51 (= (tptp.hd @t53) @t50))))))) % 34.39/34.73 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t51 (= (tptp.tl @t53) (tptp.app @t52 @t1)))))))) % 34.39/34.73 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t57 (tptp.geq @t1 @t2)) @t3)))))) % 34.39/34.73 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t57 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 34.39/34.73 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 34.39/34.73 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 34.39/34.73 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t56 @t42) @t60)))))))) % 34.39/34.73 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (or @t3 @t59))))))) % 34.39/34.73 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 (and @t4 @t56))))))) % 34.39/34.73 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not (tptp.gt @t1 @t2)))))))) % 34.39/34.73 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 34.39/34.73 (assume @p96 @t109) % 34.39/34.73 (assume @p97 true) % 34.39/34.73 (step @p98 :rule bool-impl-elim :args (@t17 @t110)) % 34.39/34.73 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t110)))) % 34.39/34.73 (step @p100 :rule eq-symm :args (@t72 @t2)) % 34.39/34.73 (step @p101 :rule refl :args (@t17)) % 34.39/34.73 (step @p102 :rule cong :premises (@p101 @p100) :args (@t73)) % 34.39/34.73 (step @p103 :rule cong :premises (@p102) :args (@t74)) % 34.39/34.73 (step @p104 :rule trans :premises (@p103 @p99)) % 34.39/34.73 (step @p105 :rule eq_resolve :premises (@p84 @p104)) % 34.39/34.73 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t132))) % 34.39/34.73 (step @p107 :rule refl :args (@t116)) % 34.39/34.73 (step @p108 :rule refl :args (@t117)) % 34.39/34.73 (step @p109 :rule refl :args (@t120)) % 34.39/34.73 (step @p110 :rule eq-symm :args (@t113 @t122)) % 34.39/34.73 (step @p111 :rule cong :premises (@p110) :args (@t133)) % 34.39/34.73 (step @p112 :rule refl :args (@t123)) % 34.39/34.73 (step @p113 :rule refl :args (@t124)) % 34.39/34.73 (step @p114 :rule refl :args (@t125)) % 34.39/34.73 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p109) :args (@t134)) % 34.39/34.73 (step @p116 :rule cong :premises (@p115) :args (@t135)) % 34.39/34.73 (step @p117 :rule cong :premises (@p116) :args (@t136)) % 34.39/34.73 (step @p118 :rule refl :args (@t127)) % 34.39/34.73 (step @p119 :rule refl :args (@t128)) % 34.39/34.73 (step @p120 :rule refl :args (@t129)) % 34.39/34.73 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p108 @p107) :args (@t137)) % 34.39/34.73 (step @p122 :rule aci_norm :args ((= @t139 @t137))) % 34.39/34.73 (step @p123 :rule trans :premises (@p122 @p121)) % 34.39/34.73 (step @p124 :rule cong :premises (@p123) :args (@t140)) % 34.39/34.73 (step @p125 :rule quant-merge-prenex :args ((= (forall @t9 @t142) @t140))) % 34.39/34.73 (step @p126 :rule alpha_equiv :args (@t143 (@list @t113) @t144)) % 34.39/34.73 (step @p127 :rule refl :args (@t128)) % 34.39/34.73 (step @p128 :rule refl :args (@t129)) % 34.39/34.73 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126) :args (@t145)) % 34.39/34.73 (step @p130 :rule quant-miniscope-or :args ((= @t142 @t145))) % 34.39/34.73 (step @p131 :rule trans :premises (@p130 @p129)) % 34.39/34.73 (step @p132 :rule symm :premises (@p131)) % 34.39/34.73 (step @p133 :rule cong :premises (@p132) :args ((forall @t9 @t154))) % 34.39/34.73 (step @p134 :rule trans :premises (@p133 @p125)) % 34.39/34.73 (step @p135 :rule trans :premises (@p134 @p124)) % 34.39/34.73 (step @p136 :rule aci_norm :args ((= (or @t129 @t154) @t154))) % 34.39/34.73 (step @p137 :rule bool-impl-elim :args (@t17 @t154)) % 34.39/34.73 (step @p138 :rule trans :premises (@p137 @p136)) % 34.39/34.73 (step @p139 :rule cong :premises (@p138) :args ((forall @t9 (=> @t17 @t154)))) % 34.39/34.73 (step @p140 :rule trans :premises (@p139 @p135)) % 34.39/34.73 (step @p141 :rule quant-miniscope-or :args ((= (forall @t7 @t155) @t154))) % 34.39/34.73 (step @p142 :rule aci_norm :args ((= @t156 @t155))) % 34.39/34.73 (step @p143 :rule cong :premises (@p142) :args ((forall @t7 @t156))) % 34.39/34.73 (step @p144 :rule trans :premises (@p143 @p141)) % 34.39/34.73 (step @p145 :rule aci_norm :args ((= (or @t152 @t157) @t156))) % 34.39/34.73 (step @p146 :rule bool-impl-elim :args (@t24 @t157)) % 34.39/34.73 (step @p147 :rule trans :premises (@p146 @p145)) % 34.39/34.73 (step @p148 :rule cong :premises (@p147) :args ((forall @t7 (=> @t24 @t157)))) % 34.39/34.73 (step @p149 :rule trans :premises (@p148 @p144)) % 34.39/34.73 (step @p150 :rule aci_norm :args ((= (or @t151 @t152 @t158) @t157))) % 34.39/34.73 (step @p151 :rule aci_norm :args ((= (or @t129 false @t128 @t148 @t147) @t158))) % 34.39/34.73 (step @p152 :rule refl :args (@t147)) % 34.39/34.73 (step @p153 :rule refl :args (@t148)) % 34.39/34.73 (step @p154 :rule evaluate :args ((not true))) % 34.39/34.73 (step @p155 :rule eq-refl :args (@t2)) % 34.39/34.73 (step @p156 :rule cong :premises (@p155) :args (@t159)) % 34.39/34.73 (step @p157 :rule trans :premises (@p156 @p154)) % 34.39/34.73 (step @p158 :rule nary_cong :premises (@p120 @p157 @p119 @p153 @p152) :args (@t160)) % 34.39/34.73 (step @p159 :rule trans :premises (@p158 @p151)) % 34.39/34.73 (step @p160 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t71) @t165 @t98 @t96 @t164 @t163)) @t160))) % 34.39/34.73 (step @p161 :rule refl :args (@t163)) % 34.39/34.73 (step @p162 :rule refl :args (@t164)) % 34.39/34.73 (step @p163 :rule refl :args (@t96)) % 34.39/34.73 (step @p164 :rule refl :args (@t98)) % 34.39/34.73 (step @p165 :rule refl :args (@t165)) % 34.39/34.73 (step @p166 :rule eq-symm :args (@t2 @t12)) % 34.39/34.73 (step @p167 :rule cong :premises (@p166) :args (@t98)) % 34.39/34.73 (step @p168 :rule nary_cong :premises (@p167 @p165 @p164 @p163 @p162 @p161) :args (@t166)) % 34.39/34.73 (step @p169 :rule aci_norm :args ((= @t167 @t166))) % 34.39/34.73 (step @p170 :rule trans :premises (@p169 @p168)) % 34.39/34.73 (step @p171 :rule cong :premises (@p170) :args (@t168)) % 34.39/34.73 (step @p172 :rule trans :premises (@p171 @p160)) % 34.39/34.73 (step @p173 :rule trans :premises (@p172 @p159)) % 34.39/34.73 (step @p174 :rule refl :args (@t152)) % 34.39/34.73 (step @p175 :rule refl :args (@t151)) % 34.39/34.73 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t169)) % 34.39/34.73 (step @p177 :rule trans :premises (@p176 @p150)) % 34.39/34.73 (step @p178 :rule quant-miniscope-or :args ((= (forall @t16 @t170) @t169))) % 34.39/34.73 (step @p179 :rule aci_norm :args ((= @t171 @t170))) % 34.39/34.73 (step @p180 :rule cong :premises (@p179) :args ((forall @t16 @t171))) % 34.39/34.73 (step @p181 :rule trans :premises (@p180 @p178)) % 34.39/34.73 (step @p182 :rule trans :premises (@p181 @p177)) % 34.39/34.73 (step @p183 :rule aci_norm :args ((= (or @t165 @t172) @t171))) % 34.39/34.73 (step @p184 :rule bool-impl-elim :args (@t15 @t172)) % 34.39/34.73 (step @p185 :rule trans :premises (@p184 @p183)) % 34.39/34.73 (step @p186 :rule cong :premises (@p185) :args ((forall @t16 (=> @t15 @t172)))) % 34.39/34.73 (step @p187 :rule trans :premises (@p186 @p182)) % 34.39/34.73 (step @p188 :rule aci_norm :args ((= (or @t98 @t96 @t151 @t173) @t172))) % 34.39/34.73 (step @p189 :rule aci_norm :args ((= (or @t152 false @t164 @t163) @t173))) % 34.39/34.73 (step @p190 :rule refl :args (@t163)) % 34.39/34.73 (step @p191 :rule refl :args (@t164)) % 34.39/34.73 (step @p192 :rule eq-refl :args (@t1)) % 34.39/34.73 (step @p193 :rule cong :premises (@p192) :args (@t174)) % 34.39/34.73 (step @p194 :rule trans :premises (@p193 @p154)) % 34.39/34.73 (step @p195 :rule nary_cong :premises (@p174 @p194 @p191 @p190) :args (@t175)) % 34.39/34.73 (step @p196 :rule trans :premises (@p195 @p189)) % 34.39/34.73 (step @p197 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t179 @t99 @t97 @t178)) @t175))) % 34.39/34.73 (step @p198 :rule refl :args (@t178)) % 34.39/34.73 (step @p199 :rule refl :args (@t97)) % 34.39/34.73 (step @p200 :rule refl :args (@t99)) % 34.39/34.73 (step @p201 :rule refl :args (@t179)) % 34.39/34.73 (step @p202 :rule eq-symm :args (@t1 @t10)) % 34.39/34.73 (step @p203 :rule cong :premises (@p202) :args (@t99)) % 34.39/34.73 (step @p204 :rule nary_cong :premises (@p203 @p201 @p200 @p199 @p198) :args (@t180)) % 34.39/34.73 (step @p205 :rule aci_norm :args ((= @t181 @t180))) % 34.39/34.73 (step @p206 :rule trans :premises (@p205 @p204)) % 34.39/34.73 (step @p207 :rule cong :premises (@p206) :args (@t182)) % 34.39/34.73 (step @p208 :rule trans :premises (@p207 @p197)) % 34.39/34.73 (step @p209 :rule trans :premises (@p208 @p196)) % 34.39/34.73 (step @p210 :rule refl :args (@t96)) % 34.39/34.73 (step @p211 :rule refl :args (@t98)) % 34.39/34.73 (step @p212 :rule nary_cong :premises (@p211 @p210 @p175 @p209) :args (@t183)) % 34.39/34.73 (step @p213 :rule trans :premises (@p212 @p188)) % 34.39/34.73 (step @p214 :rule quant-miniscope-or :args ((= (forall @t14 @t184) @t183))) % 34.39/34.73 (step @p215 :rule aci_norm :args ((= @t185 @t184))) % 34.39/34.73 (step @p216 :rule cong :premises (@p215) :args ((forall @t14 @t185))) % 34.39/34.73 (step @p217 :rule trans :premises (@p216 @p214)) % 34.39/34.73 (step @p218 :rule trans :premises (@p217 @p213)) % 34.39/34.73 (step @p219 :rule aci_norm :args ((= (or @t179 @t186) @t185))) % 34.39/34.73 (step @p220 :rule bool-impl-elim :args (@t13 @t186)) % 34.39/34.73 (step @p221 :rule trans :premises (@p220 @p219)) % 34.39/34.73 (step @p222 :rule cong :premises (@p221) :args ((forall @t14 (=> @t13 @t186)))) % 34.39/34.73 (step @p223 :rule trans :premises (@p222 @p218)) % 34.39/34.73 (step @p224 :rule aci_norm :args ((= (or @t115 (or @t162 (or @t176 (or @t161 @t111)))) @t177))) % 34.39/34.73 (step @p225 :rule bool-and-de-morgan :args (@t77 @t76 true)) % 34.39/34.73 (step @p226 :rule refl :args (@t176)) % 34.39/34.73 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or @t176 (not (and @t77 @t76))))) % 34.39/34.73 (step @p228 :rule bool-and-de-morgan :args (@t78 @t77 (and @t76))) % 34.39/34.73 (step @p229 :rule trans :premises (@p228 @p227)) % 34.39/34.73 (step @p230 :rule refl :args (@t162)) % 34.39/34.73 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or @t162 (not (and @t78 @t77 @t76))))) % 34.39/34.73 (step @p232 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77 @t76))) % 34.39/34.73 (step @p233 :rule trans :premises (@p232 @p231)) % 34.39/34.73 (step @p234 :rule refl :args (@t115)) % 34.39/34.73 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t115 (not (and @t79 @t78 @t77 @t76))))) % 34.39/34.73 (step @p236 :rule bool-and-de-morgan :args (@t80 @t79 (and @t78 @t77 @t76))) % 34.39/34.73 (step @p237 :rule trans :premises (@p236 @p235)) % 34.39/34.73 (step @p238 :rule trans :premises (@p237 @p224)) % 34.39/34.73 (step @p239 :rule cong :premises (@p238) :args (@t187)) % 34.39/34.73 (step @p240 :rule cong :premises (@p239) :args (@t188)) % 34.39/34.73 (step @p241 :rule exists-elim :args ((= @t83 @t188))) % 34.39/34.73 (step @p242 :rule trans :premises (@p241 @p240)) % 34.39/34.73 (step @p243 :rule aci_norm :args ((= @t190 @t150))) % 34.39/34.73 (step @p244 :rule cong :premises (@p243) :args (@t191)) % 34.39/34.73 (step @p245 :rule quant-merge-prenex :args ((= (forall @t40 @t193) @t191))) % 34.39/34.73 (step @p246 :rule alpha_equiv :args (@t194 (@list @t121 @t118) (@list @t34 @t195))) % 34.39/34.73 (step @p247 :rule refl :args (@t125)) % 34.39/34.73 (step @p248 :rule nary_cong :premises (@p247 @p246) :args (@t196)) % 34.39/34.73 (step @p249 :rule quant-miniscope-or :args ((= @t193 @t196))) % 34.39/34.73 (step @p250 :rule trans :premises (@p249 @p248)) % 34.39/34.73 (step @p251 :rule symm :premises (@p250)) % 34.39/34.73 (step @p252 :rule cong :premises (@p251) :args ((forall @t40 (or @t125 @t203)))) % 34.39/34.73 (step @p253 :rule trans :premises (@p252 @p245)) % 34.39/34.73 (step @p254 :rule trans :premises (@p253 @p244)) % 34.39/34.73 (step @p255 :rule bool-double-not-elim :args (@t203)) % 34.39/34.73 (step @p256 :rule nary_cong :premises (@p247 @p255) :args ((or @t125 (not @t204)))) % 34.39/34.73 (step @p257 :rule bool-and-de-morgan :args (@t39 @t204 true)) % 34.39/34.73 (step @p258 :rule trans :premises (@p257 @p256)) % 34.39/34.73 (step @p259 :rule cong :premises (@p258) :args (@t206)) % 34.39/34.73 (step @p260 :rule trans :premises (@p259 @p254)) % 34.39/34.73 (step @p261 :rule cong :premises (@p260) :args (@t207)) % 34.39/34.73 (step @p262 :rule exists-elim :args ((= (exists @t40 @t205) @t207))) % 34.39/34.73 (step @p263 :rule trans :premises (@p262 @p261)) % 34.39/34.73 (step @p264 :rule aci_norm :args ((= @t209 @t201))) % 34.39/34.73 (step @p265 :rule cong :premises (@p264) :args (@t210)) % 34.39/34.73 (step @p266 :rule quant-merge-prenex :args ((= (forall @t38 @t212) @t210))) % 34.39/34.73 (step @p267 :rule alpha_equiv :args (@t213 (@list @t195) (@list @t84))) % 34.39/34.73 (step @p268 :rule refl :args (@t200)) % 34.39/34.73 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t214)) % 34.39/34.73 (step @p270 :rule quant-miniscope-or :args ((= @t212 @t214))) % 34.39/34.73 (step @p271 :rule trans :premises (@p270 @p269)) % 34.39/34.73 (step @p272 :rule symm :premises (@p271)) % 34.39/34.73 (step @p273 :rule cong :premises (@p272) :args ((forall @t38 (or @t200 @t221)))) % 34.39/34.73 (step @p274 :rule trans :premises (@p273 @p266)) % 34.39/34.73 (step @p275 :rule trans :premises (@p274 @p265)) % 34.39/34.73 (step @p276 :rule bool-double-not-elim :args (@t221)) % 34.39/34.73 (step @p277 :rule nary_cong :premises (@p268 @p276) :args ((or @t200 (not @t222)))) % 34.39/34.73 (step @p278 :rule bool-and-de-morgan :args (@t37 @t222 true)) % 34.39/34.73 (step @p279 :rule trans :premises (@p278 @p277)) % 34.39/34.73 (step @p280 :rule cong :premises (@p279) :args (@t224)) % 34.39/34.73 (step @p281 :rule trans :premises (@p280 @p275)) % 34.39/34.73 (step @p282 :rule cong :premises (@p281) :args (@t225)) % 34.39/34.73 (step @p283 :rule exists-elim :args ((= (exists @t38 @t223) @t225))) % 34.39/34.73 (step @p284 :rule trans :premises (@p283 @p282)) % 34.39/34.73 (step @p285 :rule aci_norm :args ((= (or @t219 (or @t218 @t216)) @t220))) % 34.39/34.73 (step @p286 :rule bool-and-de-morgan :args (@t217 @t215 true)) % 34.39/34.73 (step @p287 :rule refl :args (@t219)) % 34.39/34.73 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t219 (not (and @t217 @t215))))) % 34.39/34.73 (step @p289 :rule bool-and-de-morgan :args (@t88 @t217 (and @t215))) % 34.39/34.73 (step @p290 :rule trans :premises (@p289 @p288)) % 34.39/34.73 (step @p291 :rule trans :premises (@p290 @p285)) % 34.39/34.73 (step @p292 :rule cong :premises (@p291) :args (@t227)) % 34.39/34.73 (step @p293 :rule cong :premises (@p292) :args (@t228)) % 34.39/34.73 (step @p294 :rule exists-elim :args ((= (exists @t90 @t226) @t228))) % 34.39/34.73 (step @p295 :rule trans :premises (@p294 @p293)) % 34.39/34.73 (step @p296 :rule eq-symm :args (@t85 @t2)) % 34.39/34.73 (step @p297 :rule eq-symm :args (@t87 @t1)) % 34.39/34.73 (step @p298 :rule refl :args (@t88)) % 34.39/34.73 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296) :args (@t89)) % 34.39/34.73 (step @p300 :rule cong :premises (@p299) :args (@t91)) % 34.39/34.73 (step @p301 :rule trans :premises (@p300 @p295)) % 34.39/34.73 (step @p302 :rule refl :args (@t37)) % 34.39/34.73 (step @p303 :rule nary_cong :premises (@p302 @p301) :args (@t92)) % 34.39/34.73 (step @p304 :rule cong :premises (@p303) :args (@t93)) % 34.39/34.73 (step @p305 :rule trans :premises (@p304 @p284)) % 34.39/34.73 (step @p306 :rule refl :args (@t39)) % 34.39/34.73 (step @p307 :rule nary_cong :premises (@p306 @p305) :args (@t94)) % 34.39/34.73 (step @p308 :rule cong :premises (@p307) :args (@t95)) % 34.39/34.73 (step @p309 :rule trans :premises (@p308 @p263)) % 34.39/34.73 (step @p310 :rule refl :args (@t97)) % 34.39/34.73 (step @p311 :rule refl :args (@t99)) % 34.39/34.73 (step @p312 :rule nary_cong :premises (@p311 @p211 @p310 @p210 @p309 @p242) :args (@t100)) % 34.39/34.73 (step @p313 :rule refl :args (@t13)) % 34.39/34.73 (step @p314 :rule cong :premises (@p313 @p312) :args (@t101)) % 34.39/34.73 (step @p315 :rule cong :premises (@p314) :args (@t102)) % 34.39/34.73 (step @p316 :rule trans :premises (@p315 @p223)) % 34.39/34.73 (step @p317 :rule refl :args (@t15)) % 34.39/34.73 (step @p318 :rule cong :premises (@p317 @p316) :args (@t103)) % 34.39/34.73 (step @p319 :rule cong :premises (@p318) :args (@t104)) % 34.39/34.73 (step @p320 :rule trans :premises (@p319 @p187)) % 34.39/34.73 (step @p321 :rule refl :args (@t24)) % 34.39/34.73 (step @p322 :rule cong :premises (@p321 @p320) :args (@t105)) % 34.39/34.73 (step @p323 :rule cong :premises (@p322) :args (@t106)) % 34.39/34.73 (step @p324 :rule trans :premises (@p323 @p149)) % 34.39/34.73 (step @p325 :rule cong :premises (@p101 @p324) :args (@t107)) % 34.39/34.73 (step @p326 :rule cong :premises (@p325) :args (@t108)) % 34.39/34.73 (step @p327 :rule trans :premises (@p326 @p140)) % 34.39/34.73 (step @p328 :rule cong :premises (@p327) :args (@t109)) % 34.39/34.73 (step @p329 :rule eq_resolve :premises (@p96 @p328)) % 34.39/34.73 (step @p330 :rule refl :args (@t242)) % 34.39/34.73 (step @p331 :rule bool-double-not-elim :args (@t131)) % 34.39/34.73 (step @p332 :rule nary_cong :premises (@p331 @p330) :args ((or (not @t243) @t242))) % 34.39/34.73 (step @p333 :rule refl :args (@t230)) % 34.39/34.73 (step @p334 :rule refl :args (@t232)) % 34.39/34.73 (step @p335 :rule eq-symm :args (@t229 @t119)) % 34.39/34.73 (step @p336 :rule cong :premises (@p335) :args (@t244)) % 34.39/34.73 (step @p337 :rule refl :args (@t233)) % 34.39/34.73 (step @p338 :rule nary_cong :premises (@p114 @p113 @p112 @p337 @p336) :args (@t245)) % 34.39/34.73 (step @p339 :rule cong :premises (@p338) :args (@t246)) % 34.39/34.73 (step @p340 :rule cong :premises (@p339) :args (@t247)) % 34.39/34.73 (step @p341 :rule refl :args (@t237)) % 34.39/34.73 (step @p342 :rule refl :args (@t238)) % 34.39/34.73 (step @p343 :rule refl :args (@t240)) % 34.39/34.73 (step @p344 :rule nary_cong :premises (@p343 @p342 @p341 @p340 @p334 @p333) :args (@t248)) % 34.39/34.73 (step @p345 :rule cong :premises (@p344) :args (@t249)) % 34.39/34.73 (step @p346 :rule refl :args (@t243)) % 34.39/34.73 (step @p347 :rule cong :premises (@p346 @p345) :args ((=> @t243 @t249))) % 34.39/34.73 (assume-push @p495 @t243) % 34.39/34.73 (step @p349 :rule skolemize :premises (@p329)) % 34.39/34.73 (step-pop @p496 :rule scope :premises (@p349)) % 34.39/34.73 (step @p350 :rule process_scope :premises (@p496) :args (@t249)) % 34.39/34.73 (step @p352 :rule eq_resolve :premises (@p350 @p347)) % 34.39/34.73 (step @p353 :rule implies_elim :premises (@p352)) % 34.39/34.73 (step @p354 :rule eq_resolve :premises (@p353 @p332)) % 34.39/34.73 (step @p355 :rule chain_m_resolution :premises (@p354 @p329) :args (@t242 @t250 (@list @t131))) % 34.39/34.73 (step @p356 :rule bool-double-not-elim :args (@t236)) % 34.39/34.73 (step @p357 :rule refl :args (@t241)) % 34.39/34.73 (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or @t241 (not @t237)))) % 34.39/34.73 (step @p359 :rule cnf_or_neg :args (@t241 2)) % 34.39/34.73 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 34.39/34.73 (step @p361 :rule reordering :premises (@p360) :args ((or @t236 @t241))) % 34.39/34.73 (step @p362 :rule chain_m_resolution :premises (@p361 @p355) :args (@t236 @t250 @t251)) % 34.39/34.73 (step @p363 :rule cnf_or_pos :args (@t254)) % 34.39/34.73 (step @p364 :rule reordering :premises (@p363) :args ((or @t237 @t253 (not @t254)))) % 34.39/34.73 (step @p365 :rule chain_m_resolution :premises (@p364 @p362 @p106) :args (@t253 @t255 @t256)) % 34.39/34.73 (step @p366 :rule aci_norm :args ((= @t261 (or @t129 @t259 @t258)))) % 34.39/34.73 (step @p367 :rule cong :premises (@p366) :args (@t262)) % 34.39/34.73 (step @p368 :rule quant-merge-prenex :args ((= (forall @t9 @t264) @t262))) % 34.39/34.73 (step @p369 :rule alpha_equiv :args (@t265 (@list @t257) @t144)) % 34.39/34.73 (step @p370 :rule nary_cong :premises (@p128 @p369) :args (@t266)) % 34.39/34.73 (step @p371 :rule quant-miniscope-or :args ((= @t264 @t266))) % 34.39/34.73 (step @p372 :rule trans :premises (@p371 @p370)) % 34.39/34.73 (step @p373 :rule symm :premises (@p372)) % 34.39/34.73 (step @p374 :rule cong :premises (@p373) :args ((forall @t9 (or @t129 @t269)))) % 34.39/34.73 (step @p375 :rule trans :premises (@p374 @p368)) % 34.39/34.73 (step @p376 :rule trans :premises (@p375 @p367)) % 34.39/34.73 (step @p377 :rule bool-impl-elim :args (@t17 @t269)) % 34.39/34.73 (step @p378 :rule cong :premises (@p377) :args ((forall @t9 (=> @t17 @t269)))) % 34.39/34.73 (step @p379 :rule trans :premises (@p378 @p376)) % 34.39/34.73 (step @p380 :rule bool-impl-elim :args (@t24 @t268)) % 34.39/34.73 (step @p381 :rule cong :premises (@p380) :args ((forall @t7 (=> @t24 @t268)))) % 34.39/34.73 (step @p382 :rule bool-and-de-morgan :args (@t15 @t267 true)) % 34.39/34.73 (step @p383 :rule cong :premises (@p382) :args (@t271)) % 34.39/34.73 (step @p384 :rule cong :premises (@p383) :args (@t272)) % 34.39/34.73 (step @p385 :rule exists-elim :args ((= (exists @t16 @t270) @t272))) % 34.39/34.73 (step @p386 :rule trans :premises (@p385 @p384)) % 34.39/34.73 (step @p387 :rule eq-symm :args (@t19 @t2)) % 34.39/34.73 (step @p388 :rule nary_cong :premises (@p317 @p387) :args (@t20)) % 34.39/34.73 (step @p389 :rule cong :premises (@p388) :args (@t21)) % 34.39/34.73 (step @p390 :rule trans :premises (@p389 @p386)) % 34.39/34.73 (step @p391 :rule refl :args (@t22)) % 34.39/34.73 (step @p392 :rule cong :premises (@p391 @p390) :args (@t23)) % 34.39/34.73 (step @p393 :rule cong :premises (@p321 @p392) :args (@t25)) % 34.39/34.73 (step @p394 :rule cong :premises (@p393) :args (@t26)) % 34.39/34.73 (step @p395 :rule trans :premises (@p394 @p381)) % 34.39/34.73 (step @p396 :rule cong :premises (@p101 @p395) :args (@t27)) % 34.39/34.73 (step @p397 :rule cong :premises (@p396) :args (@t28)) % 34.39/34.73 (step @p398 :rule trans :premises (@p397 @p379)) % 34.39/34.73 (step @p399 :rule eq_resolve :premises (@p5 @p398)) % 34.39/34.73 (step @p400 :rule instantiate :premises (@p399) :args ((@list @t132 @t229))) % 34.39/34.73 (step @p401 :rule bool-double-not-elim :args (@t239)) % 34.39/34.73 (step @p402 :rule nary_cong :premises (@p357 @p401) :args ((or @t241 (not @t240)))) % 34.39/34.73 (step @p403 :rule cnf_or_neg :args (@t241 0)) % 34.39/34.73 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 34.39/34.73 (step @p405 :rule reordering :premises (@p404) :args ((or @t239 @t241))) % 34.39/34.73 (step @p406 :rule chain_m_resolution :premises (@p405 @p355) :args (@t239 @t250 @t251)) % 34.39/34.73 (step @p407 :rule cnf_or_pos :args (@t276)) % 34.39/34.73 (step @p408 :rule reordering :premises (@p407) :args ((or @t240 @t237 @t275 (not @t276)))) % 34.39/34.73 (step @p409 :rule chain_m_resolution :premises (@p408 @p406 @p362 @p400) :args (@t275 (@list false false false) (@list @t239 @t236 @t276))) % 34.39/34.73 (step @p410 :rule bool-double-not-elim :args (@t231)) % 34.39/34.73 (step @p411 :rule nary_cong :premises (@p357 @p410) :args ((or @t241 (not @t232)))) % 34.39/34.73 (step @p412 :rule cnf_or_neg :args (@t241 4)) % 34.39/34.73 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 34.39/34.73 (step @p414 :rule reordering :premises (@p413) :args ((or @t231 @t241))) % 34.39/34.73 (step @p415 :rule chain_m_resolution :premises (@p414 @p355) :args (@t231 @t250 @t251)) % 34.39/34.73 (step @p416 :rule cnf_equiv_pos1 :args (@t275)) % 34.39/34.73 (step @p417 :rule reordering :premises (@p416) :args ((or @t232 @t274 (not @t275)))) % 34.39/34.73 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p409) :args (@t274 @t255 (@list @t231 @t275))) % 34.39/34.73 (step @p419 :rule skolemize :premises (@p418)) % 34.39/34.73 (step @p420 :rule bool-double-not-elim :args (@t279)) % 34.39/34.73 (step @p421 :rule refl :args (@t283)) % 34.39/34.73 (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or @t283 (not @t280)))) % 34.39/34.73 (step @p423 :rule cnf_or_neg :args (@t283 1)) % 34.39/34.73 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 34.39/34.73 (step @p425 :rule reordering :premises (@p424) :args ((or @t279 @t283))) % 34.39/34.73 (step @p426 :rule chain_m_resolution :premises (@p425 @p419) :args (@t279 @t250 @t284)) % 34.39/34.73 (step @p427 :rule bool-double-not-elim :args (@t234)) % 34.39/34.73 (step @p428 :rule nary_cong :premises (@p357 @p427) :args ((or @t241 (not @t235)))) % 34.39/34.73 (step @p429 :rule cnf_or_neg :args (@t241 3)) % 34.39/34.73 (step @p430 :rule eq_resolve :premises (@p429 @p428)) % 34.39/34.73 (step @p431 :rule reordering :premises (@p430) :args ((or @t234 @t241))) % 34.39/34.73 (step @p432 :rule chain_m_resolution :premises (@p431 @p355) :args (@t234 @t250 @t251)) % 34.39/34.73 (step @p433 :rule eq-symm :args (@t285 @t229)) % 34.39/34.73 (step @p434 :rule cong :premises (@p433) :args (@t286)) % 34.39/34.73 (step @p435 :rule eq-symm :args (@t287 @t132)) % 34.39/34.73 (step @p436 :rule cong :premises (@p435) :args (@t288)) % 34.39/34.73 (step @p437 :rule refl :args (@t289)) % 34.39/34.73 (step @p438 :rule refl :args (@t282)) % 34.39/34.73 (step @p439 :rule nary_cong :premises (@p343 @p438 @p437 @p436 @p434) :args (@t290)) % 34.39/34.73 (step @p440 :rule refl :args (@t234)) % 34.39/34.73 (step @p441 :rule cong :premises (@p440 @p439) :args ((=> @t234 @t290))) % 34.39/34.73 (assume-push @p497 @t234) % 34.39/34.73 (step @p443 :rule instantiate :premises (@p432) :args ((@list @t229 @t277 tptp.nil))) % 34.39/34.73 (step-pop @p498 :rule scope :premises (@p443)) % 34.39/34.73 (step @p444 :rule process_scope :premises (@p498) :args (@t290)) % 34.39/34.73 (step @p446 :rule eq_resolve :premises (@p444 @p441)) % 34.39/34.73 (step @p447 :rule implies_elim :premises (@p446)) % 34.39/34.73 (step @p448 :rule chain_m_resolution :premises (@p447 @p432) :args (@t295 (@list false) (@list @t234))) % 34.39/34.73 (step @p449 :rule bool-double-not-elim :args (@t281)) % 34.39/34.73 (step @p450 :rule nary_cong :premises (@p421 @p449) :args ((or @t283 (not @t282)))) % 34.39/34.73 (step @p451 :rule cnf_or_neg :args (@t283 0)) % 34.39/34.73 (step @p452 :rule eq_resolve :premises (@p451 @p450)) % 34.39/34.73 (step @p453 :rule reordering :premises (@p452) :args ((or @t281 @t283))) % 34.39/34.73 (step @p454 :rule chain_m_resolution :premises (@p453 @p419) :args (@t281 @t250 @t284)) % 34.39/34.73 (step @p455 :rule instantiate :premises (@p105) :args ((@list @t229))) % 34.39/34.73 (step @p456 :rule cnf_or_pos :args (@t296)) % 34.39/34.73 (step @p457 :rule reordering :premises (@p456) :args ((or @t240 @t291 (not @t296)))) % 34.39/34.73 (step @p458 :rule chain_m_resolution :premises (@p457 @p406 @p455) :args (@t291 @t255 (@list @t239 @t296))) % 34.39/34.73 (step @p459 :rule cnf_or_pos :args (@t295)) % 34.39/34.73 (step @p460 :rule reordering :premises (@p459) :args ((or @t289 @t240 @t292 @t282 @t294 (not @t295)))) % 34.39/34.73 (step @p461 :rule chain_m_resolution :premises (@p460 @p17 @p406 @p458 @p454 @p448) :args (@t294 (@list false false false false false) (@list @t46 @t239 @t291 @t281 @t295))) % 34.39/34.73 (step @p462 :rule bool-double-not-elim :args (@t293)) % 34.39/34.73 (step @p463 :rule refl :args (@t280)) % 34.39/34.73 (step @p464 :rule refl :args (@t297)) % 34.39/34.73 (step @p465 :rule nary_cong :premises (@p464 @p463 @p462) :args ((or @t297 @t280 (not @t294)))) % 34.39/34.73 (assume-push @p499 @t294) % 34.39/34.73 (assume-push @p500 @t293) % 34.39/34.73 (step @p468 :rule evaluate :args ((= true false))) % 34.39/34.73 (step @p469 :rule false_intro :premises (@p461)) % 34.39/34.73 (step @p470 :rule refl :args (tptp.nil)) % 34.39/34.73 (step @p471 :rule cong :premises (@p426 @p470) :args (@t252)) % 34.39/34.73 (step @p472 :rule chain_m_resolution :premises (@p364 @p362 @p106) :args (@t253 @t255 @t256)) % 34.39/34.73 (step @p473 :rule trans :premises (@p472 @p471)) % 34.39/34.73 (step @p474 :rule true_intro :premises (@p473)) % 34.39/34.73 (step @p475 :rule symm :premises (@p474)) % 34.39/34.73 (step @p476 :rule trans :premises (@p475 @p469)) % 34.39/34.73 (step @p477 false :rule eq_resolve :premises (@p476 @p468)) % 34.39/34.73 (step-pop @p501 :rule scope :premises (@p477)) % 34.39/34.73 (step-pop @p502 :rule scope :premises (@p501)) % 34.39/34.73 (step @p478 :rule process_scope :premises (@p502) :args (false)) % 34.39/34.73 (assume-push @p503 @t253) % 34.39/34.73 (assume-push @p504 @t279) % 34.39/34.73 (assume-push @p505 @t294) % 34.39/34.73 (step @p470 :rule refl :args (tptp.nil)) % 34.39/34.73 (step @p471 :rule cong :premises (@p426 @p470) :args (@t252)) % 34.39/34.73 (step @p484 :rule trans :premises (@p365 @p471)) % 34.39/34.73 (step @p485 :rule and_intro :premises (@p461 @p484)) % 34.39/34.73 (step-pop @p506 :rule scope :premises (@p485)) % 34.39/34.73 (step-pop @p507 :rule scope :premises (@p506)) % 34.39/34.73 (step-pop @p508 :rule scope :premises (@p507)) % 34.39/34.73 (step @p486 :rule process_scope :premises (@p508) :args (@t298)) % 34.39/34.73 (step @p490 :rule implies_elim :premises (@p486)) % 34.39/34.73 (step @p491 :rule resolution :premises (@p490 @p478) :args (true @t298)) % 34.39/34.73 (step @p492 :rule not_and :premises (@p491)) % 34.39/34.73 (step @p493 :rule eq_resolve :premises (@p492 @p465)) % 34.39/34.73 (step @p494 false :rule chain_m_resolution :premises (@p493 @p461 @p426 @p365) :args (false (@list true false false) (@list @t293 @t279 @t253))) % 34.39/34.73 ) % 34.39/34.73 % SZS output end Proof % 34.39/34.73 % cvc5 exiting %------------------------------------------------------------------------------