%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC198+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 : n005.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 08:58:25 AM UTC 2026 % Result : Theorem 0.61s 0.84s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC198+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 : n005.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 19:23:18 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.61/0.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.84 % SZS status Theorem % 0.61/0.84 % SZS output start Proof % 0.61/0.84 ( % 0.61/0.84 (declare-sort $$unsorted 0) % 0.61/0.84 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.61/0.84 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.61/0.84 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.84 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.84 (declare-const tptp.nil $$unsorted) % 0.61/0.84 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.61/0.84 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.61/0.84 (define @t1 () (@var "V" $$unsorted)) % 0.61/0.84 (define @t2 () (@var "U" $$unsorted)) % 0.61/0.84 (define @t3 () (= @t2 @t1)) % 0.61/0.84 (define @t4 () (not @t3)) % 0.61/0.84 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.61/0.84 (define @t6 () (tptp.ssItem @t1)) % 0.61/0.84 (define @t7 () (@list @t1)) % 0.61/0.84 (define @t8 () (tptp.ssItem @t2)) % 0.61/0.84 (define @t9 () (@list @t2)) % 0.61/0.84 (define @t10 () (and @t6 @t4)) % 0.61/0.84 (define @t11 () (exists @t7 @t10)) % 0.61/0.84 (define @t12 () (and @t8 @t11)) % 0.61/0.84 (define @t13 () (exists @t9 @t12)) % 0.61/0.84 (define @t14 () (@var "X" $$unsorted)) % 0.61/0.84 (define @t15 () (tptp.cons @t1 @t14)) % 0.61/0.84 (define @t16 () (@var "W" $$unsorted)) % 0.61/0.84 (define @t17 () (tptp.ssList @t14)) % 0.61/0.84 (define @t18 () (@list @t14)) % 0.61/0.84 (define @t19 () (tptp.ssList @t16)) % 0.61/0.84 (define @t20 () (@list @t16)) % 0.61/0.84 (define @t21 () (tptp.ssList @t2)) % 0.61/0.84 (define @t22 () (tptp.cons @t1 tptp.nil)) % 0.61/0.84 (define @t23 () (tptp.app @t1 @t16)) % 0.61/0.84 (define @t24 () (tptp.frontsegP @t2 @t1)) % 0.61/0.84 (define @t25 () (tptp.ssList @t1)) % 0.61/0.84 (define @t26 () (tptp.app @t16 @t1)) % 0.61/0.84 (define @t27 () (tptp.rearsegP @t2 @t1)) % 0.61/0.84 (define @t28 () (tptp.segmentP @t2 @t1)) % 0.61/0.84 (define @t29 () (tptp.leq @t16 @t1)) % 0.61/0.84 (define @t30 () (tptp.leq @t1 @t16)) % 0.61/0.84 (define @t31 () (@var "Z" $$unsorted)) % 0.61/0.84 (define @t32 () (@var "Y" $$unsorted)) % 0.61/0.84 (define @t33 () (= (tptp.app (tptp.app @t14 (tptp.cons @t1 @t32)) (tptp.cons @t16 @t31)) @t2)) % 0.61/0.84 (define @t34 () (tptp.ssList @t31)) % 0.61/0.84 (define @t35 () (@list @t31)) % 0.61/0.84 (define @t36 () (tptp.ssList @t32)) % 0.61/0.84 (define @t37 () (@list @t32)) % 0.61/0.84 (define @t38 () (tptp.ssItem @t16)) % 0.61/0.84 (define @t39 () (tptp.lt @t1 @t16)) % 0.61/0.84 (define @t40 () (= @t1 @t16)) % 0.61/0.84 (define @t41 () (tptp.cons @t1 @t2)) % 0.61/0.84 (define @t42 () (tptp.ssList tptp.nil)) % 0.61/0.84 (define @t43 () (= @t1 @t2)) % 0.61/0.84 (define @t44 () (tptp.cons @t16 @t1)) % 0.61/0.84 (define @t45 () (= tptp.nil @t2)) % 0.61/0.84 (define @t46 () (tptp.hd @t2)) % 0.61/0.84 (define @t47 () (not @t45)) % 0.61/0.84 (define @t48 () (tptp.hd @t41)) % 0.61/0.84 (define @t49 () (=> @t6 (= @t48 @t1))) % 0.61/0.84 (define @t50 () (forall @t7 @t49)) % 0.61/0.84 (define @t51 () (=> @t21 @t50)) % 0.61/0.84 (define @t52 () (forall @t9 @t51)) % 0.61/0.84 (define @t53 () (tptp.tl @t2)) % 0.61/0.84 (define @t54 () (tptp.app @t2 @t1)) % 0.61/0.84 (define @t55 () (tptp.app @t1 @t2)) % 0.61/0.84 (define @t56 () (tptp.leq @t1 @t2)) % 0.61/0.84 (define @t57 () (tptp.leq @t2 @t1)) % 0.61/0.84 (define @t58 () (tptp.geq @t2 @t1)) % 0.61/0.84 (define @t59 () (tptp.lt @t1 @t2)) % 0.61/0.84 (define @t60 () (tptp.lt @t2 @t1)) % 0.61/0.84 (define @t61 () (tptp.lt @t2 @t16)) % 0.61/0.84 (define @t62 () (tptp.gt @t2 @t1)) % 0.61/0.84 (define @t63 () (tptp.memberP @t16 @t2)) % 0.61/0.84 (define @t64 () (= (tptp.memberP (tptp.cons @t1 @t16) @t2) (or @t3 @t63))) % 0.61/0.84 (define @t65 () (forall @t20 (=> @t19 @t64))) % 0.61/0.84 (define @t66 () (=> @t6 @t65)) % 0.61/0.84 (define @t67 () (forall @t7 @t66)) % 0.61/0.84 (define @t68 () (=> @t8 @t67)) % 0.61/0.84 (define @t69 () (forall @t9 @t68)) % 0.61/0.84 (define @t70 () (not (tptp.memberP tptp.nil @t2))) % 0.61/0.84 (define @t71 () (forall @t9 (=> @t8 @t70))) % 0.61/0.84 (define @t72 () (tptp.app @t16 @t2)) % 0.61/0.84 (define @t73 () (tptp.cons @t2 tptp.nil)) % 0.61/0.84 (define @t74 () (tptp.hd @t1)) % 0.61/0.84 (define @t75 () (= tptp.nil @t1)) % 0.61/0.84 (define @t76 () (not @t75)) % 0.61/0.84 (define @t77 () (tptp.cons @t2 @t1)) % 0.61/0.84 (define @t78 () (= @t16 @t2)) % 0.61/0.84 (define @t79 () (not (= tptp.nil @t16))) % 0.61/0.84 (define @t80 () (not (= tptp.nil @t14))) % 0.61/0.84 (define @t81 () (or @t80 @t79)) % 0.61/0.84 (define @t82 () (@var "X2" $$unsorted)) % 0.61/0.84 (define @t83 () (@var "X1" $$unsorted)) % 0.61/0.84 (define @t84 () (tptp.leq @t83 @t82)) % 0.61/0.84 (define @t85 () (tptp.memberP @t14 @t82)) % 0.61/0.84 (define @t86 () (= @t83 @t82)) % 0.61/0.84 (define @t87 () (not @t86)) % 0.61/0.84 (define @t88 () (tptp.ssItem @t82)) % 0.61/0.84 (define @t89 () (and @t88 @t87 @t85 @t84)) % 0.61/0.84 (define @t90 () (@list @t82)) % 0.61/0.84 (define @t91 () (exists @t90 @t89)) % 0.61/0.84 (define @t92 () (not (tptp.memberP @t14 @t83))) % 0.61/0.84 (define @t93 () (tptp.cons @t83 tptp.nil)) % 0.61/0.84 (define @t94 () (not (= @t93 @t16))) % 0.61/0.84 (define @t95 () (or @t94 @t92 @t91)) % 0.61/0.84 (define @t96 () (tptp.ssItem @t83)) % 0.61/0.84 (define @t97 () (=> @t96 @t95)) % 0.61/0.84 (define @t98 () (@list @t83)) % 0.61/0.84 (define @t99 () (forall @t98 @t97)) % 0.61/0.84 (define @t100 () (and @t99 @t81)) % 0.61/0.84 (define @t101 () (= @t32 @t31)) % 0.61/0.84 (define @t102 () (not (tptp.memberP @t2 @t31))) % 0.61/0.84 (define @t103 () (or @t102 @t101)) % 0.61/0.84 (define @t104 () (tptp.ssItem @t31)) % 0.61/0.84 (define @t105 () (forall @t35 (=> @t104 @t103))) % 0.61/0.84 (define @t106 () (tptp.ssItem @t32)) % 0.61/0.84 (define @t107 () (and @t106 @t105)) % 0.61/0.84 (define @t108 () (exists @t37 @t107)) % 0.61/0.84 (define @t109 () (not (= @t2 @t16))) % 0.61/0.84 (define @t110 () (not (= @t1 @t14))) % 0.61/0.84 (define @t111 () (or @t110 @t109 @t108 @t100)) % 0.61/0.84 (define @t112 () (=> @t17 @t111)) % 0.61/0.84 (define @t113 () (forall @t18 @t112)) % 0.61/0.84 (define @t114 () (=> @t19 @t113)) % 0.61/0.84 (define @t115 () (forall @t20 @t114)) % 0.61/0.84 (define @t116 () (=> @t25 @t115)) % 0.61/0.84 (define @t117 () (forall @t7 @t116)) % 0.61/0.84 (define @t118 () (=> @t21 @t117)) % 0.61/0.84 (define @t119 () (forall @t9 @t118)) % 0.61/0.84 (define @t120 () (not @t119)) % 0.61/0.84 (define @t121 () (not (= @t2 tptp.nil))) % 0.61/0.84 (define @t122 () (@var "BOUND_VARIABLE_11158" $$unsorted)) % 0.61/0.84 (define @t123 () (not (= @t122 tptp.nil))) % 0.61/0.84 (define @t124 () (or @t123 @t121)) % 0.61/0.84 (define @t125 () (@var "BOUND_VARIABLE_11160" $$unsorted)) % 0.61/0.84 (define @t126 () (not @t88)) % 0.61/0.84 (define @t127 () (or (not (tptp.ssItem @t125)) (not (= @t2 (tptp.cons @t125 tptp.nil))) (not (tptp.memberP @t122 @t125)) (not (forall @t90 (or @t126 (= @t82 @t125) (not (tptp.memberP @t122 @t82)) (not (tptp.leq @t125 @t82))))))) % 0.61/0.84 (define @t128 () (and @t127 @t124)) % 0.61/0.84 (define @t129 () (not (tptp.ssList @t122))) % 0.61/0.84 (define @t130 () (not @t104)) % 0.61/0.84 (define @t131 () (or @t130 @t102 @t101)) % 0.61/0.84 (define @t132 () (forall @t35 @t131)) % 0.61/0.84 (define @t133 () (not @t106)) % 0.61/0.84 (define @t134 () (not (forall @t37 (or @t133 (not @t132))))) % 0.61/0.84 (define @t135 () (not @t21)) % 0.61/0.84 (define @t136 () (or @t135 @t134 @t129 @t128)) % 0.61/0.84 (define @t137 () (or @t129 @t128)) % 0.61/0.84 (define @t138 () (or @t135 @t134 @t137)) % 0.61/0.84 (define @t139 () (@list @t2 @t122 @t125)) % 0.61/0.84 (define @t140 () (forall @t139 @t138)) % 0.61/0.84 (define @t141 () (@list @t122 @t125)) % 0.61/0.84 (define @t142 () (forall @t141 @t138)) % 0.61/0.84 (define @t143 () (forall @t141 @t137)) % 0.61/0.84 (define @t144 () (@var "BOUND_VARIABLE_11133" $$unsorted)) % 0.61/0.84 (define @t145 () (or @t135 @t134 @t143)) % 0.61/0.84 (define @t146 () (not (= @t1 tptp.nil))) % 0.61/0.84 (define @t147 () (or @t146 @t121)) % 0.61/0.84 (define @t148 () (not (tptp.memberP @t1 @t82))) % 0.61/0.84 (define @t149 () (or (not (tptp.ssItem @t144)) (not (= @t2 (tptp.cons @t144 tptp.nil))) (not (tptp.memberP @t1 @t144)) (not (forall @t90 (or @t126 (= @t82 @t144) @t148 (not (tptp.leq @t144 @t82))))))) % 0.61/0.84 (define @t150 () (and @t149 @t147)) % 0.61/0.84 (define @t151 () (not @t25)) % 0.61/0.84 (define @t152 () (or @t151 @t150)) % 0.61/0.84 (define @t153 () (forall (@list @t1 @t144) @t152)) % 0.61/0.84 (define @t154 () (or @t135 @t134 @t153)) % 0.61/0.84 (define @t155 () (or @t134 @t135 @t153)) % 0.61/0.84 (define @t156 () (@list @t144)) % 0.61/0.84 (define @t157 () (forall @t156 @t152)) % 0.61/0.84 (define @t158 () (forall @t156 @t147)) % 0.61/0.84 (define @t159 () (forall @t156 @t149)) % 0.61/0.84 (define @t160 () (@var "BOUND_VARIABLE_11102" $$unsorted)) % 0.61/0.84 (define @t161 () (@list @t160)) % 0.61/0.84 (define @t162 () (and @t159 @t158)) % 0.61/0.84 (define @t163 () (forall @t156 @t150)) % 0.61/0.84 (define @t164 () (or @t151 @t163)) % 0.61/0.84 (define @t165 () (and (forall (@list @t160) (or (not (tptp.ssItem @t160)) (not (= @t2 (tptp.cons @t160 tptp.nil))) (not (tptp.memberP @t1 @t160)) (not (forall @t90 (or @t126 (= @t82 @t160) @t148 (not (tptp.leq @t160 @t82))))))) @t147)) % 0.61/0.84 (define @t166 () (or @t151 @t165)) % 0.61/0.84 (define @t167 () (forall @t7 @t166)) % 0.61/0.84 (define @t168 () (or @t134 @t135 @t167)) % 0.61/0.84 (define @t169 () (or @t134 @t135 @t166)) % 0.61/0.84 (define @t170 () (or @t151 @t134 @t135 @t165)) % 0.61/0.84 (define @t171 () (or @t134 @t151 @t135 @t165)) % 0.61/0.84 (define @t172 () (@var "BOUND_VARIABLE_11067" $$unsorted)) % 0.61/0.84 (define @t173 () (@list @t172)) % 0.61/0.84 (define @t174 () (forall @t173 @t147)) % 0.61/0.84 (define @t175 () (not (forall @t90 (or @t126 (= @t82 @t172) @t148 (not (tptp.leq @t172 @t82)))))) % 0.61/0.84 (define @t176 () (not (tptp.memberP @t1 @t172))) % 0.61/0.84 (define @t177 () (tptp.cons @t172 tptp.nil)) % 0.61/0.84 (define @t178 () (not (tptp.ssItem @t172))) % 0.61/0.84 (define @t179 () (or @t178 (not (= @t2 @t177)) @t176 @t175)) % 0.61/0.84 (define @t180 () (forall @t173 @t179)) % 0.61/0.84 (define @t181 () (@list @t172)) % 0.61/0.84 (define @t182 () (and @t180 @t174)) % 0.61/0.84 (define @t183 () (and @t179 @t147)) % 0.61/0.84 (define @t184 () (forall @t173 @t183)) % 0.61/0.84 (define @t185 () (or @t135 @t184)) % 0.61/0.84 (define @t186 () (or @t135 @t183)) % 0.61/0.84 (define @t187 () (not (= @t2 @t2))) % 0.61/0.84 (define @t188 () (or @t135 @t187 @t183)) % 0.61/0.84 (define @t189 () (not (= @t16 tptp.nil))) % 0.61/0.84 (define @t190 () (or @t146 @t189)) % 0.61/0.84 (define @t191 () (or @t178 (not (= @t16 @t177)) @t176 @t175)) % 0.61/0.84 (define @t192 () (and @t191 @t190)) % 0.61/0.84 (define @t193 () (not @t19)) % 0.61/0.84 (define @t194 () (or @t109 @t193 @t109 @t192)) % 0.61/0.84 (define @t195 () (or @t193 @t109 @t192)) % 0.61/0.84 (define @t196 () (forall @t20 @t195)) % 0.61/0.84 (define @t197 () (forall @t173 @t196)) % 0.61/0.84 (define @t198 () (forall (@list @t172 @t16) @t195)) % 0.61/0.84 (define @t199 () (forall (@list @t16 @t172) @t195)) % 0.61/0.84 (define @t200 () (forall @t173 @t195)) % 0.61/0.84 (define @t201 () (forall @t173 @t190)) % 0.61/0.84 (define @t202 () (forall @t173 @t191)) % 0.61/0.84 (define @t203 () (@var "BOUND_VARIABLE_11036" $$unsorted)) % 0.61/0.84 (define @t204 () (@list @t203)) % 0.61/0.84 (define @t205 () (and @t202 @t201)) % 0.61/0.84 (define @t206 () (forall @t173 @t192)) % 0.61/0.84 (define @t207 () (or @t193 @t109 @t206)) % 0.61/0.84 (define @t208 () (and (forall (@list @t203) (or (not (tptp.ssItem @t203)) (not (= @t16 (tptp.cons @t203 tptp.nil))) (not (tptp.memberP @t1 @t203)) (not (forall @t90 (or @t126 (= @t82 @t203) @t148 (not (tptp.leq @t203 @t82))))))) @t190)) % 0.61/0.84 (define @t209 () (or @t193 @t109 @t208)) % 0.61/0.84 (define @t210 () (forall @t20 @t209)) % 0.61/0.84 (define @t211 () (or @t134 @t151 @t210)) % 0.61/0.84 (define @t212 () (or @t134 @t151 @t209)) % 0.61/0.84 (define @t213 () (or @t193 @t109 @t134 @t151 @t208)) % 0.61/0.84 (define @t214 () (or @t109 @t134 @t151 @t208)) % 0.61/0.84 (define @t215 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 0.61/0.84 (define @t216 () (@list @t215)) % 0.61/0.84 (define @t217 () (forall @t216 @t190)) % 0.61/0.84 (define @t218 () (not (tptp.leq @t215 @t82))) % 0.61/0.84 (define @t219 () (= @t82 @t215)) % 0.61/0.84 (define @t220 () (not (= @t16 (tptp.cons @t215 tptp.nil)))) % 0.61/0.84 (define @t221 () (not (tptp.ssItem @t215))) % 0.61/0.84 (define @t222 () (or @t221 @t220 (not (tptp.memberP @t1 @t215)) (not (forall @t90 (or @t126 @t219 @t148 @t218))))) % 0.61/0.84 (define @t223 () (forall @t216 @t222)) % 0.61/0.84 (define @t224 () (@list @t215)) % 0.61/0.84 (define @t225 () (and @t223 @t217)) % 0.61/0.84 (define @t226 () (and @t222 @t190)) % 0.61/0.84 (define @t227 () (forall @t216 @t226)) % 0.61/0.84 (define @t228 () (or @t151 @t227)) % 0.61/0.84 (define @t229 () (or @t151 @t226)) % 0.61/0.84 (define @t230 () (not (= @t1 @t1))) % 0.61/0.84 (define @t231 () (or @t151 @t230 @t226)) % 0.61/0.84 (define @t232 () (or (not (= @t14 tptp.nil)) @t189)) % 0.61/0.84 (define @t233 () (not @t85)) % 0.61/0.84 (define @t234 () (not (tptp.memberP @t14 @t215))) % 0.61/0.84 (define @t235 () (and (or @t221 @t220 @t234 (not (forall @t90 (or @t126 @t219 @t233 @t218)))) @t232)) % 0.61/0.84 (define @t236 () (not @t17)) % 0.61/0.84 (define @t237 () (or @t110 @t236 @t110 @t235)) % 0.61/0.84 (define @t238 () (or @t236 @t110 @t235)) % 0.61/0.84 (define @t239 () (forall @t18 @t238)) % 0.61/0.84 (define @t240 () (forall @t216 @t239)) % 0.61/0.84 (define @t241 () (forall (@list @t215 @t14) @t238)) % 0.61/0.84 (define @t242 () (@list @t14 @t215)) % 0.61/0.84 (define @t243 () (or @t126 (= @t215 @t82) @t233 @t218)) % 0.61/0.84 (define @t244 () (forall @t90 @t243)) % 0.61/0.84 (define @t245 () (not @t244)) % 0.61/0.84 (define @t246 () (or @t221 @t220 @t234 @t245)) % 0.61/0.84 (define @t247 () (and @t246 @t232)) % 0.61/0.84 (define @t248 () (or @t236 @t110 @t247)) % 0.61/0.84 (define @t249 () (forall @t242 @t248)) % 0.61/0.84 (define @t250 () (forall @t216 @t248)) % 0.61/0.84 (define @t251 () (forall @t216 @t232)) % 0.61/0.84 (define @t252 () (forall @t216 @t246)) % 0.61/0.84 (define @t253 () (and @t252 @t251)) % 0.61/0.84 (define @t254 () (forall @t216 @t247)) % 0.61/0.84 (define @t255 () (or @t236 @t110 @t254)) % 0.61/0.84 (define @t256 () (not @t84)) % 0.61/0.84 (define @t257 () (not (forall @t90 (or @t126 @t86 @t233 @t256)))) % 0.61/0.84 (define @t258 () (not (= @t16 @t93))) % 0.61/0.84 (define @t259 () (not @t96)) % 0.61/0.84 (define @t260 () (or @t259 @t258 @t92 @t257)) % 0.61/0.84 (define @t261 () (and (forall @t98 @t260) @t232)) % 0.61/0.84 (define @t262 () (or @t236 @t110 @t261)) % 0.61/0.84 (define @t263 () (forall @t18 @t262)) % 0.61/0.84 (define @t264 () (or @t109 @t134 @t263)) % 0.61/0.84 (define @t265 () (or @t109 @t134 @t262)) % 0.61/0.84 (define @t266 () (or @t236 @t110 @t109 @t134 @t261)) % 0.61/0.84 (define @t267 () (or @t110 @t109 @t134 @t261)) % 0.61/0.84 (define @t268 () (or @t258 @t92 @t257)) % 0.61/0.84 (define @t269 () (not @t87)) % 0.61/0.84 (define @t270 () (or @t126 @t269 @t233 @t256)) % 0.61/0.84 (define @t271 () (forall @t90 (not @t89))) % 0.61/0.84 (define @t272 () (not @t271)) % 0.61/0.84 (define @t273 () (and @t106 @t132)) % 0.61/0.84 (define @t274 () (forall @t37 (not @t273))) % 0.61/0.84 (define @t275 () (not @t274)) % 0.61/0.84 (define @t276 () (forall @t139 (or @t135 @t134 @t129 (and @t127 (or (not (= tptp.nil @t122)) @t121))))) % 0.61/0.84 (define @t277 () (@quantifiers_skolemize @t276 0)) % 0.61/0.84 (define @t278 () (= tptp.nil @t277)) % 0.61/0.84 (define @t279 () (not @t278)) % 0.61/0.84 (define @t280 () (@quantifiers_skolemize @t276 1)) % 0.61/0.84 (define @t281 () (not (= tptp.nil @t280))) % 0.61/0.84 (define @t282 () (or @t281 @t279)) % 0.61/0.84 (define @t283 () (@quantifiers_skolemize @t276 2)) % 0.61/0.84 (define @t284 () (tptp.cons @t283 tptp.nil)) % 0.61/0.84 (define @t285 () (= @t277 @t284)) % 0.61/0.84 (define @t286 () (not @t285)) % 0.61/0.84 (define @t287 () (tptp.ssItem @t283)) % 0.61/0.84 (define @t288 () (not @t287)) % 0.61/0.84 (define @t289 () (or @t288 @t286 (not (tptp.memberP @t280 @t283)) (not (forall @t90 (or @t126 (= @t82 @t283) (not (tptp.memberP @t280 @t82)) (not (tptp.leq @t283 @t82))))))) % 0.61/0.84 (define @t290 () (and @t289 @t282)) % 0.61/0.84 (define @t291 () (not (tptp.ssList @t280))) % 0.61/0.84 (define @t292 () (not (tptp.memberP @t277 @t31))) % 0.61/0.84 (define @t293 () (forall @t37 (or @t133 (not (forall @t35 (or @t130 @t292 @t101)))))) % 0.61/0.84 (define @t294 () (not @t293)) % 0.61/0.84 (define @t295 () (not (tptp.ssList @t277))) % 0.61/0.84 (define @t296 () (or @t295 @t294 @t291 @t290)) % 0.61/0.84 (define @t297 () (not @t296)) % 0.61/0.84 (define @t298 () (not @t276)) % 0.61/0.84 (define @t299 () (not (= @t277 tptp.nil))) % 0.61/0.84 (define @t300 () (or @t281 @t299)) % 0.61/0.84 (define @t301 () (and @t289 @t300)) % 0.61/0.84 (define @t302 () (or @t295 @t294 @t291 @t301)) % 0.61/0.84 (define @t303 () (not @t302)) % 0.61/0.84 (define @t304 () (@list true)) % 0.61/0.84 (define @t305 () (@list @t296)) % 0.61/0.84 (define @t306 () (@var "BOUND_VARIABLE_8218" $$unsorted)) % 0.61/0.84 (define @t307 () (= @t2 @t306)) % 0.61/0.84 (define @t308 () (not (tptp.ssItem @t306))) % 0.61/0.84 (define @t309 () (not @t8)) % 0.61/0.84 (define @t310 () (or @t309 @t308 @t307)) % 0.61/0.84 (define @t311 () (@list @t2 @t306)) % 0.61/0.84 (define @t312 () (forall @t311 @t310)) % 0.61/0.84 (define @t313 () (@quantifiers_skolemize @t312 1)) % 0.61/0.84 (define @t314 () (forall @t35 (or @t130 @t292 (= @t31 @t313)))) % 0.61/0.84 (define @t315 () (@quantifiers_skolemize @t314 0)) % 0.61/0.84 (define @t316 () (or @t130 @t292 (= @t315 @t31))) % 0.61/0.84 (define @t317 () (forall @t35 @t316)) % 0.61/0.84 (define @t318 () (not @t317)) % 0.61/0.84 (define @t319 () (tptp.ssItem @t315)) % 0.61/0.84 (define @t320 () (not @t319)) % 0.61/0.84 (define @t321 () (or @t320 @t318)) % 0.61/0.84 (define @t322 () (@list @t315)) % 0.61/0.84 (define @t323 () (forall @t35 (or @t130 @t292 (= @t31 @t315)))) % 0.61/0.84 (define @t324 () (not @t323)) % 0.61/0.84 (define @t325 () (or @t320 @t324)) % 0.61/0.84 (define @t326 () (@list false)) % 0.61/0.84 (define @t327 () (@list @t293)) % 0.61/0.84 (define @t328 () (or @t130 @t292 (= @t313 @t31))) % 0.61/0.84 (define @t329 () (forall @t35 @t328)) % 0.61/0.84 (define @t330 () (not @t329)) % 0.61/0.84 (define @t331 () (tptp.ssItem @t313)) % 0.61/0.84 (define @t332 () (not @t331)) % 0.61/0.84 (define @t333 () (or @t332 @t330)) % 0.61/0.84 (define @t334 () (not @t314)) % 0.61/0.84 (define @t335 () (or @t332 @t334)) % 0.61/0.84 (define @t336 () (or @t308 @t307)) % 0.61/0.84 (define @t337 () (or @t309 @t336)) % 0.61/0.84 (define @t338 () (forall @t311 @t337)) % 0.61/0.84 (define @t339 () (@list @t306)) % 0.61/0.84 (define @t340 () (forall @t339 @t337)) % 0.61/0.84 (define @t341 () (forall @t339 @t336)) % 0.61/0.84 (define @t342 () (@list @t1)) % 0.61/0.84 (define @t343 () (or @t309 @t341)) % 0.61/0.84 (define @t344 () (not @t6)) % 0.61/0.84 (define @t345 () (forall @t7 (or @t344 @t3))) % 0.61/0.84 (define @t346 () (not @t345)) % 0.61/0.84 (define @t347 () (and @t8 @t346)) % 0.61/0.84 (define @t348 () (forall @t9 (not @t347))) % 0.61/0.84 (define @t349 () (not @t348)) % 0.61/0.84 (define @t350 () (forall @t7 (not @t10))) % 0.61/0.84 (define @t351 () (not @t350)) % 0.61/0.84 (define @t352 () (@quantifiers_skolemize @t312 0)) % 0.61/0.84 (define @t353 () (or (not (tptp.ssItem @t352)) @t332 (= @t352 @t313))) % 0.61/0.84 (define @t354 () (@list false false)) % 0.61/0.84 (define @t355 () (tptp.memberP @t277 @t315)) % 0.61/0.84 (define @t356 () (not @t355)) % 0.61/0.84 (define @t357 () (or @t320 @t356 (= @t313 @t315))) % 0.61/0.84 (define @t358 () (not @t357)) % 0.61/0.84 (define @t359 () (or @t320 @t356 (= @t315 @t313))) % 0.61/0.84 (define @t360 () (not @t359)) % 0.61/0.84 (define @t361 () (@list @t357)) % 0.61/0.84 (define @t362 () (@quantifiers_skolemize @t323 0)) % 0.61/0.84 (define @t363 () (= @t315 @t362)) % 0.61/0.84 (define @t364 () (tptp.memberP @t277 @t362)) % 0.61/0.84 (define @t365 () (not @t364)) % 0.61/0.84 (define @t366 () (tptp.ssItem @t362)) % 0.61/0.84 (define @t367 () (not @t366)) % 0.61/0.84 (define @t368 () (or @t367 @t365 @t363)) % 0.61/0.84 (define @t369 () (not @t368)) % 0.61/0.84 (define @t370 () (or @t367 @t365 (= @t362 @t315))) % 0.61/0.84 (define @t371 () (not @t370)) % 0.61/0.84 (define @t372 () (not @t363)) % 0.61/0.84 (define @t373 () (@list @t368)) % 0.61/0.84 (define @t374 () (@var "BOUND_VARIABLE_9338" $$unsorted)) % 0.61/0.84 (define @t375 () (= @t374 (tptp.hd (tptp.cons @t374 @t2)))) % 0.61/0.84 (define @t376 () (not (tptp.ssItem @t374))) % 0.61/0.84 (define @t377 () (or @t376 @t375)) % 0.61/0.84 (define @t378 () (or @t135 @t377)) % 0.61/0.84 (define @t379 () (forall (@list @t2 @t374) @t378)) % 0.61/0.84 (define @t380 () (@list @t374)) % 0.61/0.84 (define @t381 () (forall @t380 @t378)) % 0.61/0.84 (define @t382 () (forall @t380 @t377)) % 0.61/0.84 (define @t383 () (or @t135 @t382)) % 0.61/0.84 (define @t384 () (= @t1 @t48)) % 0.61/0.84 (define @t385 () (forall @t7 (or @t344 @t384))) % 0.61/0.84 (define @t386 () (tptp.memberP tptp.nil @t315)) % 0.61/0.84 (define @t387 () (not @t386)) % 0.61/0.84 (define @t388 () (or @t320 @t387)) % 0.61/0.84 (define @t389 () (and @t387 @t278 @t355)) % 0.61/0.84 (define @t390 () (@list true false)) % 0.61/0.84 (define @t391 () (@list @t289)) % 0.61/0.84 (define @t392 () (= @t283 (tptp.hd @t284))) % 0.61/0.84 (define @t393 () (not @t42)) % 0.61/0.84 (define @t394 () (or @t393 @t288 @t392)) % 0.61/0.84 (define @t395 () (@var "BOUND_VARIABLE_9722" $$unsorted)) % 0.61/0.84 (define @t396 () (@var "BOUND_VARIABLE_9720" $$unsorted)) % 0.61/0.84 (define @t397 () (= (tptp.memberP (tptp.cons @t396 @t395) @t2) (or (= @t2 @t396) (tptp.memberP @t395 @t2)))) % 0.61/0.84 (define @t398 () (not (tptp.ssList @t395))) % 0.61/0.84 (define @t399 () (not (tptp.ssItem @t396))) % 0.61/0.84 (define @t400 () (or @t309 @t399 @t398 @t397)) % 0.61/0.84 (define @t401 () (or @t399 @t398 @t397)) % 0.61/0.84 (define @t402 () (or @t309 @t401)) % 0.61/0.84 (define @t403 () (@list @t2 @t396 @t395)) % 0.61/0.84 (define @t404 () (forall @t403 @t402)) % 0.61/0.84 (define @t405 () (@list @t396 @t395)) % 0.61/0.84 (define @t406 () (forall @t405 @t402)) % 0.61/0.84 (define @t407 () (forall @t405 @t401)) % 0.61/0.84 (define @t408 () (@var "BOUND_VARIABLE_9701" $$unsorted)) % 0.61/0.84 (define @t409 () (or @t309 @t407)) % 0.61/0.84 (define @t410 () (= (tptp.memberP (tptp.cons @t1 @t408) @t2) (or @t3 (tptp.memberP @t408 @t2)))) % 0.61/0.84 (define @t411 () (not (tptp.ssList @t408))) % 0.61/0.84 (define @t412 () (or @t344 @t411 @t410)) % 0.61/0.84 (define @t413 () (@list @t1 @t408)) % 0.61/0.84 (define @t414 () (forall @t413 @t412)) % 0.61/0.84 (define @t415 () (or @t411 @t410)) % 0.61/0.84 (define @t416 () (or @t344 @t415)) % 0.61/0.84 (define @t417 () (forall @t413 @t416)) % 0.61/0.84 (define @t418 () (@list @t408)) % 0.61/0.84 (define @t419 () (forall @t418 @t416)) % 0.61/0.84 (define @t420 () (forall @t418 @t415)) % 0.61/0.84 (define @t421 () (or @t344 @t420)) % 0.61/0.84 (define @t422 () (forall @t20 (or @t193 @t64))) % 0.61/0.84 (define @t423 () (tptp.memberP tptp.nil @t362)) % 0.61/0.84 (define @t424 () (or (= @t362 @t283) @t423)) % 0.61/0.84 (define @t425 () (tptp.memberP @t284 @t362)) % 0.61/0.84 (define @t426 () (= @t425 @t424)) % 0.61/0.84 (define @t427 () (or @t367 @t288 @t393 @t426)) % 0.61/0.84 (define @t428 () (forall @t403 @t400)) % 0.61/0.84 (define @t429 () (= @t283 @t362)) % 0.61/0.84 (define @t430 () (or @t429 @t423)) % 0.61/0.84 (define @t431 () (= @t425 @t430)) % 0.61/0.84 (define @t432 () (or @t367 @t288 @t393 @t431)) % 0.61/0.84 (define @t433 () (@list @t428)) % 0.61/0.84 (define @t434 () (@list false false false false)) % 0.61/0.84 (define @t435 () (and @t285 @t364)) % 0.61/0.84 (define @t436 () (not @t423)) % 0.61/0.84 (define @t437 () (or @t367 @t436)) % 0.61/0.84 (define @t438 () (or (= @t315 @t283) @t386)) % 0.61/0.84 (define @t439 () (tptp.memberP @t284 @t315)) % 0.61/0.84 (define @t440 () (= @t439 @t438)) % 0.61/0.84 (define @t441 () (or @t320 @t288 @t393 @t440)) % 0.61/0.84 (define @t442 () (= @t283 @t315)) % 0.61/0.84 (define @t443 () (or @t442 @t386)) % 0.61/0.84 (define @t444 () (= @t439 @t443)) % 0.61/0.84 (define @t445 () (or @t320 @t288 @t393 @t444)) % 0.61/0.84 (define @t446 () (and @t285 @t355)) % 0.61/0.84 (define @t447 () (not @t429)) % 0.61/0.84 (define @t448 () (not @t392)) % 0.61/0.84 (define @t449 () (not @t442)) % 0.61/0.84 (define @t450 () (and @t392 @t442 @t429 @t372)) % 0.61/0.84 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.61/0.84 (assume @p2 @t13) % 0.61/0.84 (assume @p3 (forall @t9 (=> @t21 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t20 (and @t19 (exists @t18 (and @t17 (= (tptp.app @t16 @t15) @t2))))))))))) % 0.61/0.84 (assume @p4 (forall @t9 (=> @t21 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t22 @t2))))))) % 0.61/0.84 (assume @p5 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (= @t24 (exists @t20 (and @t19 (= @t23 @t2))))))))) % 0.61/0.84 (assume @p6 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (= @t27 (exists @t20 (and @t19 (= @t26 @t2))))))))) % 0.61/0.84 (assume @p7 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (= @t28 (exists @t20 (and @t19 (exists @t18 (and @t17 (= (tptp.app @t26 @t14) @t2))))))))))) % 0.61/0.84 (assume @p8 (forall @t9 (=> @t21 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 (not (and @t30 @t29))))))))))))))))) % 0.61/0.84 (assume @p9 (forall @t9 (=> @t21 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 (or @t30 @t29)))))))))))))))) % 0.61/0.84 (assume @p10 (forall @t9 (=> @t21 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 (or @t39 (tptp.lt @t16 @t1))))))))))))))))) % 0.61/0.84 (assume @p11 (forall @t9 (=> @t21 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 @t30))))))))))))))) % 0.61/0.84 (assume @p12 (forall @t9 (=> @t21 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 @t39))))))))))))))) % 0.61/0.84 (assume @p13 (forall @t9 (=> @t21 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 (not @t40)))))))))))))))) % 0.61/0.84 (assume @p14 (forall @t9 (=> @t21 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (=> (= (tptp.app @t14 (tptp.cons @t1 (tptp.cons @t16 @t32))) @t2) @t40))))))))))))) % 0.61/0.84 (assume @p15 (forall @t9 (=> @t21 (forall @t7 (=> @t25 @t5))))) % 0.61/0.84 (assume @p16 (forall @t9 (=> @t21 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.61/0.84 (assume @p17 @t42) % 0.61/0.84 (assume @p18 (forall @t9 (=> @t21 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.61/0.84 (assume @p19 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t38 (forall @t18 (=> (tptp.ssItem @t14) (=> (= (tptp.cons @t16 @t2) (tptp.cons @t14 @t1)) (and (= @t16 @t14) @t43))))))))))) % 0.61/0.84 (assume @p20 (forall @t9 (=> @t21 (or @t45 (exists @t7 (and @t25 (exists @t20 (and @t38 (= @t44 @t2))))))))) % 0.61/0.84 (assume @p21 (forall @t9 (=> @t21 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.61/0.84 (assume @p22 (forall @t9 (=> @t21 (=> @t47 (tptp.ssItem @t46))))) % 0.61/0.84 (assume @p23 @t52) % 0.61/0.84 (assume @p24 (forall @t9 (=> @t21 (=> @t47 (tptp.ssList @t53))))) % 0.61/0.84 (assume @p25 (forall @t9 (=> @t21 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.61/0.84 (assume @p26 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (tptp.ssList @t54)))))) % 0.61/0.84 (assume @p27 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t38 (= (tptp.cons @t16 @t55) (tptp.app @t44 @t2))))))))) % 0.61/0.84 (assume @p28 (forall @t9 (=> @t21 (= (tptp.app tptp.nil @t2) @t2)))) % 0.61/0.84 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t57 @t56) @t3)))))) % 0.61/0.84 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t57 @t30) (tptp.leq @t2 @t16))))))))) % 0.61/0.84 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.61/0.84 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 @t56)))))) % 0.61/0.84 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not @t59))))))) % 0.61/0.84 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t60 @t39) @t61)))))))) % 0.61/0.84 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t59)))))) % 0.61/0.84 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (= (tptp.memberP @t23 @t2) (or (tptp.memberP @t1 @t2) @t63))))))))) % 0.61/0.84 (assume @p37 @t69) % 0.61/0.84 (assume @p38 @t71) % 0.61/0.84 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.61/0.84 (assume @p40 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> (and @t24 (tptp.frontsegP @t1 @t16)) (tptp.frontsegP @t2 @t16))))))))) % 0.61/0.84 (assume @p41 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> (and @t24 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.61/0.84 (assume @p42 (forall @t9 (=> @t21 (tptp.frontsegP @t2 @t2)))) % 0.61/0.84 (assume @p43 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> @t24 (tptp.frontsegP (tptp.app @t2 @t16) @t1))))))))) % 0.61/0.84 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t19 (forall @t18 (=> @t17 (= (tptp.frontsegP (tptp.cons @t2 @t16) @t15) (and @t3 (tptp.frontsegP @t16 @t14)))))))))))) % 0.61/0.84 (assume @p45 (forall @t9 (=> @t21 (tptp.frontsegP @t2 tptp.nil)))) % 0.61/0.84 (assume @p46 (forall @t9 (=> @t21 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 0.61/0.84 (assume @p47 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> (and @t27 (tptp.rearsegP @t1 @t16)) (tptp.rearsegP @t2 @t16))))))))) % 0.61/0.84 (assume @p48 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> (and @t27 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.61/0.84 (assume @p49 (forall @t9 (=> @t21 (tptp.rearsegP @t2 @t2)))) % 0.61/0.84 (assume @p50 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> @t27 (tptp.rearsegP @t72 @t1))))))))) % 0.61/0.84 (assume @p51 (forall @t9 (=> @t21 (tptp.rearsegP @t2 tptp.nil)))) % 0.61/0.84 (assume @p52 (forall @t9 (=> @t21 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 0.61/0.84 (assume @p53 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> (and @t28 (tptp.segmentP @t1 @t16)) (tptp.segmentP @t2 @t16))))))))) % 0.61/0.84 (assume @p54 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> (and @t28 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.61/0.84 (assume @p55 (forall @t9 (=> @t21 (tptp.segmentP @t2 @t2)))) % 0.61/0.84 (assume @p56 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (forall @t18 (=> @t17 (=> @t28 (tptp.segmentP (tptp.app @t72 @t14) @t1))))))))))) % 0.61/0.84 (assume @p57 (forall @t9 (=> @t21 (tptp.segmentP @t2 tptp.nil)))) % 0.61/0.84 (assume @p58 (forall @t9 (=> @t21 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 0.61/0.84 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t73)))) % 0.61/0.84 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.61/0.84 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t73)))) % 0.61/0.84 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.61/0.84 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t73)))) % 0.61/0.84 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.61/0.84 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t73)))) % 0.61/0.84 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.61/0.84 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t25 (= (tptp.totalorderedP @t77) (or @t75 (and @t76 (tptp.totalorderedP @t1) (tptp.leq @t2 @t74))))))))) % 0.61/0.84 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t73)))) % 0.61/0.84 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.61/0.84 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t25 (= (tptp.strictorderedP @t77) (or @t75 (and @t76 (tptp.strictorderedP @t1) (tptp.lt @t2 @t74))))))))) % 0.61/0.84 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t73)))) % 0.61/0.84 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.61/0.84 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t73)))) % 0.61/0.84 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.61/0.84 (assume @p75 (forall @t9 (=> @t21 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 0.61/0.84 (assume @p76 (forall @t9 (=> @t21 (=> @t47 (exists @t7 (and @t25 (= @t53 @t1))))))) % 0.61/0.84 (assume @p77 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> (and @t76 @t47 (= @t74 @t46) (= (tptp.tl @t1) @t53)) @t43)))))) % 0.61/0.84 (assume @p78 (forall @t9 (=> @t21 (=> @t47 (= (tptp.cons @t46 @t53) @t2))))) % 0.61/0.84 (assume @p79 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> (= @t26 @t54) @t78)))))))) % 0.61/0.84 (assume @p80 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> (= @t23 @t55) @t78)))))))) % 0.61/0.84 (assume @p81 (forall @t9 (=> @t21 (forall @t7 (=> @t6 (= @t41 (tptp.app @t22 @t2))))))) % 0.61/0.84 (assume @p82 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (= (tptp.app @t54 @t16) (tptp.app @t2 @t23))))))))) % 0.61/0.84 (assume @p83 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (= (= tptp.nil @t54) (and @t75 @t45))))))) % 0.61/0.84 (assume @p84 (forall @t9 (=> @t21 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.61/0.84 (assume @p85 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> @t47 (= (tptp.hd @t54) @t46))))))) % 0.61/0.84 (assume @p86 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> @t47 (= (tptp.tl @t54) (tptp.app @t53 @t1)))))))) % 0.61/0.84 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 (tptp.geq @t1 @t2)) @t3)))))) % 0.61/0.84 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t58 (tptp.geq @t1 @t16)) (tptp.geq @t2 @t16))))))))) % 0.61/0.84 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.61/0.84 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.61/0.84 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t57 @t39) @t61)))))))) % 0.61/0.84 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (or @t3 @t60))))))) % 0.61/0.84 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 (and @t4 @t57))))))) % 0.61/0.84 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (not (tptp.gt @t1 @t2)))))))) % 0.61/0.84 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t62 (tptp.gt @t1 @t16)) (tptp.gt @t2 @t16))))))))) % 0.61/0.84 (assume @p96 @t120) % 0.61/0.84 (assume @p97 true) % 0.61/0.84 (step @p98 :rule refl :args (@t121)) % 0.61/0.84 (step @p99 :rule eq-symm :args (@t122 tptp.nil)) % 0.61/0.84 (step @p100 :rule cong :premises (@p99) :args (@t123)) % 0.61/0.84 (step @p101 :rule nary_cong :premises (@p100 @p98) :args (@t124)) % 0.61/0.84 (step @p102 :rule refl :args (@t127)) % 0.61/0.84 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t128)) % 0.61/0.84 (step @p104 :rule refl :args (@t129)) % 0.61/0.84 (step @p105 :rule refl :args (@t134)) % 0.61/0.84 (step @p106 :rule refl :args (@t135)) % 0.61/0.84 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103) :args (@t136)) % 0.61/0.84 (step @p108 :rule aci_norm :args ((= @t138 @t136))) % 0.61/0.84 (step @p109 :rule trans :premises (@p108 @p107)) % 0.61/0.84 (step @p110 :rule cong :premises (@p109) :args (@t140)) % 0.61/0.84 (step @p111 :rule quant-merge-prenex :args ((= (forall @t9 @t142) @t140))) % 0.61/0.84 (step @p112 :rule alpha_equiv :args (@t143 (@list @t122 @t125) (@list @t1 @t144))) % 0.61/0.84 (step @p113 :rule refl :args (@t134)) % 0.61/0.84 (step @p114 :rule refl :args (@t135)) % 0.61/0.84 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args (@t145)) % 0.61/0.84 (step @p116 :rule quant-miniscope-or :args ((= @t142 @t145))) % 0.61/0.84 (step @p117 :rule trans :premises (@p116 @p115)) % 0.61/0.84 (step @p118 :rule symm :premises (@p117)) % 0.61/0.84 (step @p119 :rule cong :premises (@p118) :args ((forall @t9 @t154))) % 0.61/0.84 (step @p120 :rule trans :premises (@p119 @p111)) % 0.61/0.84 (step @p121 :rule trans :premises (@p120 @p110)) % 0.61/0.84 (step @p122 :rule aci_norm :args ((= (or @t135 @t155) @t154))) % 0.61/0.84 (step @p123 :rule bool-impl-elim :args (@t21 @t155)) % 0.61/0.84 (step @p124 :rule trans :premises (@p123 @p122)) % 0.61/0.84 (step @p125 :rule cong :premises (@p124) :args ((forall @t9 (=> @t21 @t155)))) % 0.61/0.84 (step @p126 :rule trans :premises (@p125 @p121)) % 0.61/0.84 (step @p127 :rule quant-merge-prenex :args ((= (forall @t7 @t157) @t153))) % 0.61/0.84 (step @p128 :rule quant-unused-vars :args ((= @t158 @t147))) % 0.61/0.84 (step @p129 :rule alpha_equiv :args (@t159 (@list @t144) @t161)) % 0.61/0.84 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t162)) % 0.61/0.84 (step @p131 :rule quant-miniscope-and :args ((= @t163 @t162))) % 0.61/0.84 (step @p132 :rule trans :premises (@p131 @p130)) % 0.61/0.84 (step @p133 :rule refl :args (@t151)) % 0.61/0.84 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t164)) % 0.61/0.84 (step @p135 :rule quant-miniscope-or :args ((= @t157 @t164))) % 0.61/0.84 (step @p136 :rule trans :premises (@p135 @p134)) % 0.61/0.84 (step @p137 :rule symm :premises (@p136)) % 0.61/0.84 (step @p138 :rule cong :premises (@p137) :args (@t167)) % 0.61/0.84 (step @p139 :rule trans :premises (@p138 @p127)) % 0.61/0.84 (step @p140 :rule nary_cong :premises (@p105 @p106 @p139) :args (@t168)) % 0.61/0.84 (step @p141 :rule quant-miniscope-or :args ((= (forall @t7 @t169) @t168))) % 0.61/0.84 (step @p142 :rule aci_norm :args ((= @t170 @t169))) % 0.61/0.84 (step @p143 :rule cong :premises (@p142) :args ((forall @t7 @t170))) % 0.61/0.84 (step @p144 :rule trans :premises (@p143 @p141)) % 0.61/0.84 (step @p145 :rule trans :premises (@p144 @p140)) % 0.61/0.84 (step @p146 :rule aci_norm :args ((= (or @t151 @t171) @t170))) % 0.61/0.84 (step @p147 :rule bool-impl-elim :args (@t25 @t171)) % 0.61/0.84 (step @p148 :rule trans :premises (@p147 @p146)) % 0.61/0.84 (step @p149 :rule cong :premises (@p148) :args ((forall @t7 (=> @t25 @t171)))) % 0.61/0.84 (step @p150 :rule trans :premises (@p149 @p145)) % 0.61/0.84 (step @p151 :rule aci_norm :args ((= (or @t134 @t151 (or @t135 @t165)) @t171))) % 0.61/0.84 (step @p152 :rule quant-unused-vars :args ((= @t174 @t147))) % 0.61/0.84 (step @p153 :rule alpha_equiv :args (@t180 @t181 @t161)) % 0.61/0.84 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t182)) % 0.61/0.84 (step @p155 :rule quant-miniscope-and :args ((= @t184 @t182))) % 0.61/0.84 (step @p156 :rule trans :premises (@p155 @p154)) % 0.61/0.84 (step @p157 :rule nary_cong :premises (@p106 @p156) :args (@t185)) % 0.61/0.84 (step @p158 :rule quant-miniscope-or :args ((= (forall @t173 @t186) @t185))) % 0.61/0.84 (step @p159 :rule trans :premises (@p158 @p157)) % 0.61/0.84 (step @p160 :rule aci_norm :args ((= (or @t135 false @t183) @t186))) % 0.61/0.84 (step @p161 :rule refl :args (@t183)) % 0.61/0.84 (step @p162 :rule evaluate :args ((not true))) % 0.61/0.84 (step @p163 :rule eq-refl :args (@t2)) % 0.61/0.84 (step @p164 :rule cong :premises (@p163) :args (@t187)) % 0.61/0.84 (step @p165 :rule trans :premises (@p164 @p162)) % 0.61/0.84 (step @p166 :rule nary_cong :premises (@p106 @p165 @p161) :args (@t188)) % 0.61/0.84 (step @p167 :rule trans :premises (@p166 @p160)) % 0.61/0.84 (step @p168 :rule cong :premises (@p167) :args ((forall @t173 @t188))) % 0.61/0.84 (step @p169 :rule trans :premises (@p168 @p159)) % 0.61/0.84 (step @p170 :rule quant-var-elim-eq :args ((= (forall @t20 (or (not @t78) @t193 @t109 @t192)) @t188))) % 0.61/0.84 (step @p171 :rule refl :args (@t192)) % 0.61/0.84 (step @p172 :rule refl :args (@t109)) % 0.61/0.84 (step @p173 :rule refl :args (@t193)) % 0.61/0.84 (step @p174 :rule eq-symm :args (@t2 @t16)) % 0.61/0.84 (step @p175 :rule cong :premises (@p174) :args (@t109)) % 0.61/0.84 (step @p176 :rule nary_cong :premises (@p175 @p173 @p172 @p171) :args (@t194)) % 0.61/0.84 (step @p177 :rule aci_norm :args ((= @t195 @t194))) % 0.61/0.84 (step @p178 :rule trans :premises (@p177 @p176)) % 0.61/0.84 (step @p179 :rule cong :premises (@p178) :args (@t196)) % 0.61/0.84 (step @p180 :rule trans :premises (@p179 @p170)) % 0.61/0.84 (step @p181 :rule cong :premises (@p180) :args (@t197)) % 0.61/0.84 (step @p182 :rule quant-merge-prenex :args ((= @t197 @t198))) % 0.61/0.84 (step @p183 :rule symm :premises (@p182)) % 0.61/0.84 (step @p184 :rule quant_var_reordering :args ((= @t199 @t198))) % 0.61/0.84 (step @p185 :rule trans :premises (@p184 @p183 @p181)) % 0.61/0.84 (step @p186 :rule trans :premises (@p185 @p169)) % 0.61/0.84 (step @p187 :rule quant-merge-prenex :args ((= (forall @t20 @t200) @t199))) % 0.61/0.84 (step @p188 :rule quant-unused-vars :args ((= @t201 @t190))) % 0.61/0.84 (step @p189 :rule alpha_equiv :args (@t202 @t181 @t204)) % 0.61/0.84 (step @p190 :rule nary_cong :premises (@p189 @p188) :args (@t205)) % 0.61/0.84 (step @p191 :rule quant-miniscope-and :args ((= @t206 @t205))) % 0.61/0.84 (step @p192 :rule trans :premises (@p191 @p190)) % 0.61/0.84 (step @p193 :rule nary_cong :premises (@p173 @p172 @p192) :args (@t207)) % 0.61/0.84 (step @p194 :rule quant-miniscope-or :args ((= @t200 @t207))) % 0.61/0.84 (step @p195 :rule 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@t285 @t289))) % 0.61/0.85 (step @p683 :rule chain_m_resolution :premises (@p682 @p598) :args (@t285 @t304 @t391)) % 0.61/0.85 (assume-push @p823 @t285) % 0.61/0.85 (assume-push @p824 @t364) % 0.61/0.85 (assume-push @p825 @t364) % 0.61/0.85 (assume-push @p826 @t285) % 0.61/0.85 (step @p688 :rule true_intro :premises (@p677)) % 0.61/0.85 (step @p689 :rule refl :args (@t362)) % 0.61/0.85 (step @p690 :rule symm :premises (@p823)) % 0.61/0.85 (step @p691 :rule cong :premises (@p690 @p689) :args (@t425)) % 0.61/0.85 (step @p692 :rule trans :premises (@p691 @p688)) % 0.61/0.85 (step @p693 :rule true_elim :premises (@p692)) % 0.61/0.85 (step-pop @p827 :rule scope :premises (@p693)) % 0.61/0.85 (step-pop @p828 :rule scope :premises (@p827)) % 0.61/0.85 (step @p694 :rule process_scope :premises (@p828) :args (@t425)) % 0.61/0.85 (step @p697 :rule and_intro :premises (@p677 @p823)) % 0.61/0.85 (step @p698 :rule modus_ponens :premises (@p697 @p694)) % 0.61/0.85 (step-pop @p829 :rule scope :premises (@p698)) % 0.61/0.85 (step-pop @p830 :rule scope :premises (@p829)) % 0.61/0.85 (step @p699 :rule process_scope :premises (@p830) :args (@t425)) % 0.61/0.85 (step @p702 :rule implies_elim :premises (@p699)) % 0.61/0.85 (step @p703 :rule cnf_and_neg :args (@t435)) % 0.61/0.85 (step @p704 :rule resolution :premises (@p703 @p702) :args (true @t435)) % 0.61/0.85 (step @p705 :rule chain_m_resolution :premises (@p704 @p683 @p677) :args (@t425 @t354 (@list @t285 @t364))) % 0.61/0.85 (step @p706 :rule cnf_equiv_pos1 :args (@t431)) % 0.61/0.85 (step @p707 :rule reordering :premises (@p706) :args ((or @t430 (not @t425) (not @t431)))) % 0.61/0.85 (step @p708 :rule chain_m_resolution :premises (@p707 @p705 @p671) :args (@t430 @t354 (@list @t425 @t431))) % 0.61/0.85 (step @p709 :rule instantiate :premises (@p545) :args ((@list @t362))) % 0.61/0.85 (step @p710 :rule cnf_or_pos :args (@t437)) % 0.61/0.85 (step @p711 :rule reordering :premises (@p710) :args ((or @t367 @t436 (not @t437)))) % 0.61/0.85 (step @p712 :rule chain_m_resolution :premises (@p711 @p668 @p709) :args (@t436 @t354 (@list @t366 @t437))) % 0.61/0.85 (step @p713 :rule cnf_or_pos :args (@t430)) % 0.61/0.85 (step @p714 :rule reordering :premises (@p713) :args ((or @t423 @t429 (not @t430)))) % 0.61/0.85 (step @p715 :rule chain_m_resolution :premises (@p714 @p712 @p708) :args (@t429 @t390 (@list @t423 @t430))) % 0.61/0.85 (step @p716 :rule refl :args (@t386)) % 0.61/0.85 (step @p717 :rule eq-symm :args (@t315 @t283)) % 0.61/0.85 (step @p718 :rule nary_cong :premises (@p717 @p716) :args (@t438)) % 0.61/0.85 (step @p719 :rule refl :args (@t439)) % 0.61/0.85 (step @p720 :rule cong :premises (@p719 @p718) :args (@t440)) % 0.61/0.85 (step @p721 :rule nary_cong :premises (@p399 @p651 @p650 @p720) :args (@t441)) % 0.61/0.85 (step @p722 :rule cong :premises (@p653 @p721) :args ((=> @t428 @t441))) % 0.61/0.85 (assume-push @p831 @t428) % 0.61/0.85 (step @p724 :rule instantiate :premises (@p644) :args ((@list @t315 @t283 tptp.nil))) % 0.61/0.85 (step-pop @p832 :rule scope :premises (@p724)) % 0.61/0.85 (step @p725 :rule process_scope :premises (@p832) :args (@t441)) % 0.61/0.85 (step @p727 :rule eq_resolve :premises (@p725 @p722)) % 0.61/0.85 (step @p728 :rule implies_elim :premises (@p727)) % 0.61/0.85 (step @p729 :rule chain_m_resolution :premises (@p728 @p644) :args (@t445 @t326 @t433)) % 0.61/0.85 (step @p730 :rule cnf_or_pos :args (@t445)) % 0.61/0.85 (step @p731 :rule reordering :premises (@p730) :args ((or @t393 @t288 @t320 @t444 (not @t445)))) % 0.61/0.85 (step @p732 :rule chain_m_resolution :premises (@p731 @p17 @p604 @p493 @p729) :args (@t444 @t434 (@list @t42 @t287 @t319 @t445))) % 0.61/0.85 (assume-push @p833 @t285) % 0.61/0.85 (assume-push @p834 @t355) % 0.61/0.85 (assume-push @p835 @t355) % 0.61/0.85 (assume-push @p836 @t285) % 0.61/0.85 (step @p567 :rule true_intro :premises (@p555)) % 0.61/0.85 (step @p564 :rule refl :args (@t315)) % 0.61/0.85 (step @p737 :rule symm :premises (@p833)) % 0.61/0.85 (step @p738 :rule cong :premises (@p737 @p564) :args (@t439)) % 0.61/0.85 (step @p739 :rule trans :premises (@p738 @p567)) % 0.61/0.85 (step @p740 :rule true_elim :premises (@p739)) % 0.61/0.85 (step-pop @p837 :rule scope :premises (@p740)) % 0.61/0.85 (step-pop @p838 :rule scope :premises (@p837)) % 0.61/0.85 (step @p741 :rule process_scope :premises (@p838) :args (@t439)) % 0.61/0.85 (step @p744 :rule and_intro :premises (@p555 @p833)) % 0.61/0.85 (step @p745 :rule modus_ponens :premises (@p744 @p741)) % 0.61/0.85 (step-pop @p839 :rule scope :premises (@p745)) % 0.61/0.85 (step-pop @p840 :rule scope :premises (@p839)) % 0.61/0.85 (step @p746 :rule process_scope :premises (@p840) :args (@t439)) % 0.61/0.85 (step @p749 :rule implies_elim :premises (@p746)) % 0.61/0.85 (step @p750 :rule cnf_and_neg :args (@t446)) % 0.61/0.85 (step @p751 :rule resolution :premises (@p750 @p749) :args (true @t446)) % 0.61/0.85 (step @p752 :rule chain_m_resolution :premises (@p751 @p683 @p555) :args (@t439 @t354 (@list @t285 @t355))) % 0.61/0.85 (step @p753 :rule cnf_equiv_pos1 :args (@t444)) % 0.61/0.85 (step @p754 :rule reordering :premises (@p753) :args ((or @t443 (not @t439) (not @t444)))) % 0.61/0.85 (step @p755 :rule chain_m_resolution :premises (@p754 @p752 @p732) :args (@t443 @t354 (@list @t439 @t444))) % 0.61/0.85 (step @p756 :rule cnf_or_pos :args (@t443)) % 0.61/0.85 (step @p757 :rule reordering :premises (@p756) :args ((or @t386 @t442 (not @t443)))) % 0.61/0.85 (step @p758 :rule chain_m_resolution :premises (@p757 @p549 @p755) :args (@t442 @t390 (@list @t386 @t443))) % 0.61/0.85 (step @p759 :rule refl :args (@t447)) % 0.61/0.85 (step @p760 :rule refl :args (@t448)) % 0.61/0.85 (step @p761 :rule bool-double-not-elim :args (@t363)) % 0.61/0.85 (step @p762 :rule refl :args (@t449)) % 0.61/0.85 (step @p763 :rule nary_cong :premises (@p762 @p761 @p760 @p759) :args ((or @t449 (not @t372) @t448 @t447))) % 0.61/0.85 (assume-push @p841 @t392) % 0.61/0.85 (assume-push @p842 @t442) % 0.61/0.85 (assume-push @p843 @t429) % 0.61/0.85 (assume-push @p844 @t372) % 0.61/0.85 (step @p768 :rule evaluate :args ((= false true))) % 0.61/0.85 (step @p769 :rule symm :premises (@p843)) % 0.61/0.85 (step @p770 :rule trans :premises (@p769 @p841)) % 0.61/0.85 (step @p771 :rule symm :premises (@p770)) % 0.61/0.85 (step @p772 :rule symm :premises (@p842)) % 0.61/0.85 (step @p773 :rule trans :premises (@p772 @p841 @p771)) % 0.61/0.85 (step @p774 :rule true_intro :premises (@p773)) % 0.61/0.85 (step @p775 :rule false_intro :premises (@p516)) % 0.61/0.85 (step @p776 :rule symm :premises (@p775)) % 0.61/0.85 (step @p777 :rule trans :premises (@p776 @p774)) % 0.61/0.85 (step @p778 false :rule eq_resolve :premises (@p777 @p768)) % 0.61/0.85 (step-pop @p845 :rule scope :premises (@p778)) % 0.61/0.85 (step-pop @p846 :rule scope :premises (@p845)) % 0.61/0.85 (step-pop @p847 :rule scope :premises (@p846)) % 0.61/0.85 (step-pop @p848 :rule scope :premises (@p847)) % 0.61/0.85 (step @p779 :rule process_scope :premises (@p848) :args (false)) % 0.61/0.85 (assume-push @p849 @t442) % 0.61/0.85 (assume-push @p850 @t372) % 0.61/0.85 (assume-push @p851 @t392) % 0.61/0.85 (assume-push @p852 @t429) % 0.61/0.85 (step @p788 :rule and_intro :premises (@p851 @p849 @p852 @p516)) % 0.61/0.85 (step-pop @p853 :rule scope :premises (@p788)) % 0.61/0.85 (step-pop @p854 :rule scope :premises (@p853)) % 0.61/0.85 (step-pop @p855 :rule scope :premises (@p854)) % 0.61/0.85 (step-pop @p856 :rule scope :premises (@p855)) % 0.61/0.85 (step @p789 :rule process_scope :premises (@p856) :args (@t450)) % 0.61/0.85 (step @p794 :rule implies_elim :premises (@p789)) % 0.61/0.85 (step @p795 :rule resolution :premises (@p794 @p779) :args (true @t450)) % 0.61/0.85 (step @p796 :rule not_and :premises (@p795)) % 0.61/0.85 (step @p797 :rule eq_resolve :premises (@p796 @p763)) % 0.61/0.85 (step @p798 false :rule chain_m_resolution :premises (@p797 @p758 @p715 @p607 @p516) :args (false (@list false false false true) (@list @t442 @t429 @t392 @t363))) % 0.61/0.85 ) % 0.61/0.85 % SZS output end Proof % 0.61/0.85 % cvc5 exiting %------------------------------------------------------------------------------