%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC045+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 : n014.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 08:57:49 AM UTC 2026 % Result : Theorem 114.29s 114.59s % Output : Proof 114.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC045+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.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 19:11:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 114.29/114.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 114.29/114.59 --- Run --no-e-matching --full-saturate-quant at 6... % 114.29/114.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 114.29/114.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 114.29/114.59 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 114.29/114.59 --- Run --trigger-sel=max --full-saturate-quant at 15... % 114.29/114.59 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 114.29/114.59 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 114.29/114.59 % SZS status Theorem % 114.29/114.59 % SZS output start Proof % 114.29/114.59 ( % 114.29/114.59 (declare-sort $$unsorted 0) % 114.29/114.59 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 114.29/114.59 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 114.29/114.59 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 114.29/114.59 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 114.29/114.59 (declare-const tptp.nil $$unsorted) % 114.29/114.59 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.ssList (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 114.29/114.59 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 114.29/114.59 (define @t1 () (@var "V" $$unsorted)) % 114.29/114.59 (define @t2 () (@var "U" $$unsorted)) % 114.29/114.59 (define @t3 () (= @t2 @t1)) % 114.29/114.59 (define @t4 () (not @t3)) % 114.29/114.59 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 114.29/114.59 (define @t6 () (tptp.ssItem @t1)) % 114.29/114.59 (define @t7 () (@list @t1)) % 114.29/114.59 (define @t8 () (tptp.ssItem @t2)) % 114.29/114.59 (define @t9 () (@list @t2)) % 114.29/114.59 (define @t10 () (@var "X" $$unsorted)) % 114.29/114.59 (define @t11 () (tptp.cons @t1 @t10)) % 114.29/114.59 (define @t12 () (@var "W" $$unsorted)) % 114.29/114.59 (define @t13 () (tptp.ssList @t10)) % 114.29/114.59 (define @t14 () (@list @t10)) % 114.29/114.59 (define @t15 () (tptp.ssList @t12)) % 114.29/114.59 (define @t16 () (@list @t12)) % 114.29/114.59 (define @t17 () (tptp.ssList @t2)) % 114.29/114.59 (define @t18 () (tptp.cons @t1 tptp.nil)) % 114.29/114.59 (define @t19 () (tptp.app @t1 @t12)) % 114.29/114.59 (define @t20 () (tptp.frontsegP @t2 @t1)) % 114.29/114.59 (define @t21 () (tptp.ssList @t1)) % 114.29/114.59 (define @t22 () (tptp.app @t12 @t1)) % 114.29/114.59 (define @t23 () (tptp.rearsegP @t2 @t1)) % 114.29/114.59 (define @t24 () (tptp.segmentP @t2 @t1)) % 114.29/114.59 (define @t25 () (tptp.leq @t12 @t1)) % 114.29/114.59 (define @t26 () (tptp.leq @t1 @t12)) % 114.29/114.59 (define @t27 () (@var "Z" $$unsorted)) % 114.29/114.59 (define @t28 () (@var "Y" $$unsorted)) % 114.29/114.59 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 114.29/114.59 (define @t30 () (tptp.ssList @t27)) % 114.29/114.59 (define @t31 () (@list @t27)) % 114.29/114.59 (define @t32 () (tptp.ssList @t28)) % 114.29/114.59 (define @t33 () (@list @t28)) % 114.29/114.59 (define @t34 () (tptp.ssItem @t12)) % 114.29/114.59 (define @t35 () (tptp.lt @t1 @t12)) % 114.29/114.59 (define @t36 () (= @t1 @t12)) % 114.29/114.59 (define @t37 () (tptp.cons @t1 @t2)) % 114.29/114.59 (define @t38 () (tptp.ssList @t37)) % 114.29/114.59 (define @t39 () (forall @t7 (=> @t6 @t38))) % 114.29/114.59 (define @t40 () (=> @t17 @t39)) % 114.29/114.59 (define @t41 () (forall @t9 @t40)) % 114.29/114.59 (define @t42 () (tptp.ssList tptp.nil)) % 114.29/114.59 (define @t43 () (= @t1 @t2)) % 114.29/114.59 (define @t44 () (tptp.cons @t12 @t1)) % 114.29/114.59 (define @t45 () (and @t34 (= @t44 @t2))) % 114.29/114.59 (define @t46 () (exists @t16 @t45)) % 114.29/114.59 (define @t47 () (and @t21 @t46)) % 114.29/114.59 (define @t48 () (exists @t7 @t47)) % 114.29/114.59 (define @t49 () (= tptp.nil @t2)) % 114.29/114.59 (define @t50 () (or @t49 @t48)) % 114.29/114.59 (define @t51 () (=> @t17 @t50)) % 114.29/114.59 (define @t52 () (forall @t9 @t51)) % 114.29/114.59 (define @t53 () (tptp.hd @t2)) % 114.29/114.59 (define @t54 () (tptp.ssItem @t53)) % 114.29/114.59 (define @t55 () (not @t49)) % 114.29/114.59 (define @t56 () (=> @t55 @t54)) % 114.29/114.59 (define @t57 () (=> @t17 @t56)) % 114.29/114.59 (define @t58 () (forall @t9 @t57)) % 114.29/114.59 (define @t59 () (tptp.tl @t2)) % 114.29/114.59 (define @t60 () (tptp.tl @t37)) % 114.29/114.59 (define @t61 () (=> @t6 (= @t60 @t2))) % 114.29/114.59 (define @t62 () (forall @t7 @t61)) % 114.29/114.59 (define @t63 () (=> @t17 @t62)) % 114.29/114.59 (define @t64 () (forall @t9 @t63)) % 114.29/114.59 (define @t65 () (tptp.app @t2 @t1)) % 114.29/114.59 (define @t66 () (tptp.ssList @t65)) % 114.29/114.59 (define @t67 () (forall @t7 (=> @t21 @t66))) % 114.29/114.59 (define @t68 () (=> @t17 @t67)) % 114.29/114.59 (define @t69 () (forall @t9 @t68)) % 114.29/114.59 (define @t70 () (tptp.app @t1 @t2)) % 114.29/114.59 (define @t71 () (tptp.leq @t1 @t2)) % 114.29/114.59 (define @t72 () (tptp.leq @t2 @t1)) % 114.29/114.59 (define @t73 () (tptp.geq @t2 @t1)) % 114.29/114.59 (define @t74 () (tptp.lt @t1 @t2)) % 114.29/114.59 (define @t75 () (tptp.lt @t2 @t1)) % 114.29/114.59 (define @t76 () (tptp.lt @t2 @t12)) % 114.29/114.59 (define @t77 () (tptp.gt @t2 @t1)) % 114.29/114.59 (define @t78 () (tptp.memberP @t12 @t2)) % 114.29/114.59 (define @t79 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t78))) % 114.29/114.59 (define @t80 () (forall @t16 (=> @t15 @t79))) % 114.29/114.59 (define @t81 () (=> @t6 @t80)) % 114.29/114.59 (define @t82 () (forall @t7 @t81)) % 114.29/114.59 (define @t83 () (=> @t8 @t82)) % 114.29/114.59 (define @t84 () (forall @t9 @t83)) % 114.29/114.59 (define @t85 () (not (tptp.memberP tptp.nil @t2))) % 114.29/114.59 (define @t86 () (forall @t9 (=> @t8 @t85))) % 114.29/114.59 (define @t87 () (tptp.app @t12 @t2)) % 114.29/114.59 (define @t88 () (tptp.segmentP tptp.nil @t2)) % 114.29/114.59 (define @t89 () (=> @t17 (= @t88 @t49))) % 114.29/114.59 (define @t90 () (forall @t9 @t89)) % 114.29/114.59 (define @t91 () (tptp.cons @t2 tptp.nil)) % 114.29/114.59 (define @t92 () (tptp.hd @t1)) % 114.29/114.59 (define @t93 () (= tptp.nil @t1)) % 114.29/114.59 (define @t94 () (not @t93)) % 114.29/114.59 (define @t95 () (tptp.cons @t2 @t1)) % 114.29/114.59 (define @t96 () (tptp.cons @t53 @t59)) % 114.29/114.59 (define @t97 () (=> @t55 (= @t96 @t2))) % 114.29/114.59 (define @t98 () (=> @t17 @t97)) % 114.29/114.59 (define @t99 () (forall @t9 @t98)) % 114.29/114.59 (define @t100 () (= @t12 @t2)) % 114.29/114.59 (define @t101 () (= @t37 (tptp.app @t18 @t2))) % 114.29/114.59 (define @t102 () (forall @t7 (=> @t6 @t101))) % 114.29/114.59 (define @t103 () (=> @t17 @t102)) % 114.29/114.59 (define @t104 () (forall @t9 @t103)) % 114.29/114.59 (define @t105 () (and @t93 @t49)) % 114.29/114.59 (define @t106 () (= tptp.nil @t65)) % 114.29/114.59 (define @t107 () (= @t106 @t105)) % 114.29/114.59 (define @t108 () (=> @t21 @t107)) % 114.29/114.59 (define @t109 () (forall @t7 @t108)) % 114.29/114.59 (define @t110 () (=> @t17 @t109)) % 114.29/114.59 (define @t111 () (forall @t9 @t110)) % 114.29/114.59 (define @t112 () (tptp.memberP @t12 @t28)) % 114.29/114.59 (define @t113 () (tptp.cons @t28 tptp.nil)) % 114.29/114.59 (define @t114 () (tptp.app (tptp.app @t113 @t27) @t113)) % 114.29/114.59 (define @t115 () (tptp.segmentP @t10 @t114)) % 114.29/114.59 (define @t116 () (not @t115)) % 114.29/114.59 (define @t117 () (forall @t31 (=> @t30 @t116))) % 114.29/114.59 (define @t118 () (and @t117 @t112)) % 114.29/114.59 (define @t119 () (and @t30 @t115)) % 114.29/114.59 (define @t120 () (exists @t31 @t119)) % 114.29/114.59 (define @t121 () (not @t112)) % 114.29/114.59 (define @t122 () (and @t121 @t120)) % 114.29/114.59 (define @t123 () (or @t122 @t118)) % 114.29/114.59 (define @t124 () (tptp.ssItem @t28)) % 114.29/114.59 (define @t125 () (and @t124 @t123)) % 114.29/114.59 (define @t126 () (exists @t33 @t125)) % 114.29/114.59 (define @t127 () (not (= @t2 @t12))) % 114.29/114.59 (define @t128 () (not (= @t1 @t10))) % 114.29/114.59 (define @t129 () (or @t94 @t128 @t127 @t49 @t126)) % 114.29/114.59 (define @t130 () (=> @t13 @t129)) % 114.29/114.59 (define @t131 () (forall @t14 @t130)) % 114.29/114.59 (define @t132 () (=> @t15 @t131)) % 114.29/114.59 (define @t133 () (forall @t16 @t132)) % 114.29/114.59 (define @t134 () (=> @t21 @t133)) % 114.29/114.59 (define @t135 () (forall @t7 @t134)) % 114.29/114.59 (define @t136 () (=> @t17 @t135)) % 114.29/114.59 (define @t137 () (forall @t9 @t136)) % 114.29/114.59 (define @t138 () (not @t137)) % 114.29/114.59 (define @t139 () (= @t2 @t96)) % 114.29/114.59 (define @t140 () (= @t2 tptp.nil)) % 114.29/114.59 (define @t141 () (not @t17)) % 114.29/114.59 (define @t142 () (or @t141 @t140 @t139)) % 114.29/114.59 (define @t143 () (not @t140)) % 114.29/114.59 (define @t144 () (not @t143)) % 114.29/114.59 (define @t145 () (=> @t143 @t139)) % 114.29/114.59 (define @t146 () (tptp.memberP @t2 @t28)) % 114.29/114.59 (define @t147 () (not @t146)) % 114.29/114.59 (define @t148 () (not @t30)) % 114.29/114.59 (define @t149 () (not (forall @t31 (or @t148 (not (tptp.segmentP tptp.nil @t114)))))) % 114.29/114.59 (define @t150 () (@var "BOUND_VARIABLE_10950" $$unsorted)) % 114.29/114.59 (define @t151 () (tptp.app (tptp.app @t113 @t150) @t113)) % 114.29/114.59 (define @t152 () (not (tptp.segmentP tptp.nil @t151))) % 114.29/114.59 (define @t153 () (not (tptp.ssList @t150))) % 114.29/114.59 (define @t154 () (not @t124)) % 114.29/114.59 (define @t155 () (@list @t28 @t150)) % 114.29/114.59 (define @t156 () (not (forall @t155 (or @t154 (and (or @t146 @t153 @t152) (or @t149 @t147)))))) % 114.29/114.59 (define @t157 () (or @t141 @t140 @t156)) % 114.29/114.59 (define @t158 () (forall @t9 @t157)) % 114.29/114.59 (define @t159 () (@quantifiers_skolemize @t158 0)) % 114.29/114.59 (define @t160 () (tptp.tl @t159)) % 114.29/114.59 (define @t161 () (tptp.hd @t159)) % 114.29/114.59 (define @t162 () (tptp.cons @t161 @t160)) % 114.29/114.59 (define @t163 () (= @t159 @t162)) % 114.29/114.59 (define @t164 () (tptp.ssList @t159)) % 114.29/114.59 (define @t165 () (not @t164)) % 114.29/114.59 (define @t166 () (= @t159 tptp.nil)) % 114.29/114.59 (define @t167 () (or @t165 @t166 @t163)) % 114.29/114.59 (define @t168 () (forall @t9 @t142)) % 114.29/114.59 (define @t169 () (@list @t159)) % 114.29/114.59 (define @t170 () (= tptp.nil @t159)) % 114.29/114.59 (define @t171 () (or @t165 @t170 @t163)) % 114.29/114.59 (define @t172 () (@list false)) % 114.29/114.59 (define @t173 () (not @t42)) % 114.29/114.59 (define @t174 () (or @t173 @t157)) % 114.29/114.59 (define @t175 () (or @t141 @t140 @t173 @t156)) % 114.29/114.59 (define @t176 () (or @t140 @t141 @t173 @t156)) % 114.29/114.59 (define @t177 () (or @t173 @t156)) % 114.29/114.59 (define @t178 () (not (= tptp.nil tptp.nil))) % 114.29/114.59 (define @t179 () (or @t173 @t178 @t156)) % 114.29/114.59 (define @t180 () (not (forall @t31 (or @t148 (not (tptp.segmentP @t1 @t114)))))) % 114.29/114.59 (define @t181 () (not (tptp.segmentP @t1 @t151))) % 114.29/114.59 (define @t182 () (not (forall @t155 (or @t154 (and (or @t146 @t153 @t181) (or @t180 @t147)))))) % 114.29/114.59 (define @t183 () (= @t1 tptp.nil)) % 114.29/114.59 (define @t184 () (not @t183)) % 114.29/114.59 (define @t185 () (not @t21)) % 114.29/114.59 (define @t186 () (or @t184 @t185 @t184 @t182)) % 114.29/114.59 (define @t187 () (or @t185 @t184 @t182)) % 114.29/114.59 (define @t188 () (forall @t7 @t187)) % 114.29/114.59 (define @t189 () (or @t140 @t141 @t188)) % 114.29/114.59 (define @t190 () (or @t140 @t141 @t187)) % 114.29/114.59 (define @t191 () (or @t185 @t184 @t140 @t141 @t182)) % 114.29/114.59 (define @t192 () (or @t184 @t140 @t185 @t141 @t182)) % 114.29/114.59 (define @t193 () (or @t141 @t182)) % 114.29/114.59 (define @t194 () (not (= @t2 @t2))) % 114.29/114.59 (define @t195 () (or @t141 @t194 @t182)) % 114.29/114.59 (define @t196 () (not (forall @t155 (or @t154 (and (or @t112 @t153 @t181) (or @t180 @t121)))))) % 114.29/114.59 (define @t197 () (not @t15)) % 114.29/114.59 (define @t198 () (or @t127 @t197 @t127 @t196)) % 114.29/114.59 (define @t199 () (or @t197 @t127 @t196)) % 114.29/114.59 (define @t200 () (forall @t16 @t199)) % 114.29/114.59 (define @t201 () (or @t184 @t140 @t185 @t200)) % 114.29/114.59 (define @t202 () (or @t184 @t140 @t185 @t199)) % 114.29/114.59 (define @t203 () (or @t197 @t184 @t127 @t140 @t185 @t196)) % 114.29/114.59 (define @t204 () (or @t184 @t127 @t140 @t185 @t196)) % 114.29/114.59 (define @t205 () (or @t185 @t196)) % 114.29/114.59 (define @t206 () (not (= @t1 @t1))) % 114.29/114.59 (define @t207 () (or @t185 @t206 @t196)) % 114.29/114.59 (define @t208 () (forall @t31 (or @t148 @t116))) % 114.29/114.59 (define @t209 () (not @t208)) % 114.29/114.59 (define @t210 () (or @t209 @t121)) % 114.29/114.59 (define @t211 () (not (tptp.segmentP @t10 @t151))) % 114.29/114.59 (define @t212 () (or @t112 @t153 @t211)) % 114.29/114.59 (define @t213 () (not (forall @t155 (or @t154 (and @t212 @t210))))) % 114.29/114.59 (define @t214 () (not @t13)) % 114.29/114.59 (define @t215 () (or @t128 @t214 @t128 @t213)) % 114.29/114.59 (define @t216 () (or @t214 @t128 @t213)) % 114.29/114.59 (define @t217 () (forall @t14 @t216)) % 114.29/114.59 (define @t218 () (or @t184 @t127 @t140 @t217)) % 114.29/114.59 (define @t219 () (or @t184 @t127 @t140 @t216)) % 114.29/114.59 (define @t220 () (or @t214 @t184 @t128 @t127 @t140 @t213)) % 114.29/114.59 (define @t221 () (or @t184 @t128 @t127 @t140 @t213)) % 114.29/114.59 (define @t222 () (or @t153 @t211)) % 114.29/114.59 (define @t223 () (or @t112 @t222)) % 114.29/114.59 (define @t224 () (and @t223 @t210)) % 114.29/114.59 (define @t225 () (or @t154 @t224)) % 114.29/114.59 (define @t226 () (forall @t155 @t225)) % 114.29/114.59 (define @t227 () (@list @t150)) % 114.29/114.59 (define @t228 () (forall @t227 @t225)) % 114.29/114.59 (define @t229 () (forall @t227 @t210)) % 114.29/114.59 (define @t230 () (forall @t227 @t222)) % 114.29/114.59 (define @t231 () (or @t112 @t230)) % 114.29/114.59 (define @t232 () (forall @t227 @t223)) % 114.29/114.59 (define @t233 () (and @t232 @t229)) % 114.29/114.59 (define @t234 () (forall @t227 @t224)) % 114.29/114.59 (define @t235 () (or @t154 @t234)) % 114.29/114.59 (define @t236 () (and @t208 @t112)) % 114.29/114.59 (define @t237 () (and @t121 @t209)) % 114.29/114.59 (define @t238 () (or @t237 @t236)) % 114.29/114.59 (define @t239 () (and @t124 @t238)) % 114.29/114.59 (define @t240 () (forall @t33 (not @t239))) % 114.29/114.59 (define @t241 () (not @t240)) % 114.29/114.59 (define @t242 () (forall @t31 (not @t119))) % 114.29/114.59 (define @t243 () (not @t242)) % 114.29/114.59 (define @t244 () (tptp.memberP @t159 @t28)) % 114.29/114.59 (define @t245 () (forall @t155 (or @t154 (and (or @t244 @t153 @t152) (or @t149 (not @t244)))))) % 114.29/114.59 (define @t246 () (not @t245)) % 114.29/114.59 (define @t247 () (or @t165 @t170 @t246)) % 114.29/114.59 (define @t248 () (not @t247)) % 114.29/114.59 (define @t249 () (not @t158)) % 114.29/114.59 (define @t250 () (or @t165 @t166 @t246)) % 114.29/114.59 (define @t251 () (not @t250)) % 114.29/114.59 (define @t252 () (@list true)) % 114.29/114.59 (define @t253 () (@list @t247)) % 114.29/114.59 (define @t254 () (@list false true false)) % 114.29/114.59 (define @t255 () (@var "BOUND_VARIABLE_9262" $$unsorted)) % 114.29/114.59 (define @t256 () (tptp.cons @t255 @t1)) % 114.29/114.59 (define @t257 () (not (= @t2 @t256))) % 114.29/114.59 (define @t258 () (not (tptp.ssItem @t255))) % 114.29/114.59 (define @t259 () (or @t185 @t258 @t257)) % 114.29/114.59 (define @t260 () (@list @t1 @t255)) % 114.29/114.59 (define @t261 () (not (forall @t260 @t259))) % 114.29/114.59 (define @t262 () (or @t141 @t140 @t261)) % 114.29/114.59 (define @t263 () (or @t140 @t261)) % 114.29/114.59 (define @t264 () (or @t258 @t257)) % 114.29/114.59 (define @t265 () (or @t185 @t264)) % 114.29/114.59 (define @t266 () (forall @t260 @t265)) % 114.29/114.59 (define @t267 () (@list @t255)) % 114.29/114.59 (define @t268 () (forall @t267 @t265)) % 114.29/114.59 (define @t269 () (forall @t267 @t264)) % 114.29/114.59 (define @t270 () (@list @t12)) % 114.29/114.59 (define @t271 () (or @t185 @t269)) % 114.29/114.59 (define @t272 () (= @t2 @t44)) % 114.29/114.59 (define @t273 () (forall @t16 (or (not @t34) (not @t272)))) % 114.29/114.59 (define @t274 () (not @t273)) % 114.29/114.59 (define @t275 () (and @t21 @t274)) % 114.29/114.59 (define @t276 () (forall @t7 (not @t275))) % 114.29/114.59 (define @t277 () (not @t276)) % 114.29/114.59 (define @t278 () (and @t34 @t272)) % 114.29/114.59 (define @t279 () (forall @t16 (not @t278))) % 114.29/114.59 (define @t280 () (not @t279)) % 114.29/114.59 (define @t281 () (not (= @t159 @t256))) % 114.29/114.59 (define @t282 () (or @t185 @t258 @t281)) % 114.29/114.59 (define @t283 () (forall @t260 @t282)) % 114.29/114.59 (define @t284 () (not @t283)) % 114.29/114.59 (define @t285 () (or @t165 @t166 @t284)) % 114.29/114.59 (define @t286 () (forall @t9 @t262)) % 114.29/114.59 (define @t287 () (forall @t260 (or @t185 @t258 (not (= @t256 @t159))))) % 114.29/114.59 (define @t288 () (not @t287)) % 114.29/114.59 (define @t289 () (or @t165 @t170 @t288)) % 114.29/114.59 (define @t290 () (@quantifiers_skolemize @t287 0)) % 114.29/114.59 (define @t291 () (@quantifiers_skolemize @t287 1)) % 114.29/114.59 (define @t292 () (tptp.cons @t291 @t290)) % 114.29/114.59 (define @t293 () (= @t159 @t292)) % 114.29/114.59 (define @t294 () (not @t293)) % 114.29/114.59 (define @t295 () (tptp.ssItem @t291)) % 114.29/114.59 (define @t296 () (not @t295)) % 114.29/114.59 (define @t297 () (tptp.ssList @t290)) % 114.29/114.59 (define @t298 () (not @t297)) % 114.29/114.59 (define @t299 () (or @t298 @t296 @t294)) % 114.29/114.59 (define @t300 () (not @t299)) % 114.29/114.59 (define @t301 () (not (= @t292 @t159))) % 114.29/114.59 (define @t302 () (or @t298 @t296 @t301)) % 114.29/114.59 (define @t303 () (not @t302)) % 114.29/114.59 (define @t304 () (@list @t299)) % 114.29/114.59 (define @t305 () (@var "BOUND_VARIABLE_9349" $$unsorted)) % 114.29/114.59 (define @t306 () (= @t2 (tptp.tl (tptp.cons @t305 @t2)))) % 114.29/114.59 (define @t307 () (not (tptp.ssItem @t305))) % 114.29/114.59 (define @t308 () (or @t307 @t306)) % 114.29/114.59 (define @t309 () (or @t141 @t308)) % 114.29/114.59 (define @t310 () (forall (@list @t2 @t305) @t309)) % 114.29/114.59 (define @t311 () (@list @t305)) % 114.29/114.59 (define @t312 () (forall @t311 @t309)) % 114.29/114.59 (define @t313 () (forall @t311 @t308)) % 114.29/114.59 (define @t314 () (@list @t1)) % 114.29/114.59 (define @t315 () (or @t141 @t313)) % 114.29/114.59 (define @t316 () (= @t2 @t60)) % 114.29/114.59 (define @t317 () (not @t6)) % 114.29/114.59 (define @t318 () (forall @t7 (or @t317 @t316))) % 114.29/114.59 (define @t319 () (= @t290 (tptp.tl @t292))) % 114.29/114.59 (define @t320 () (or @t298 @t296 @t319)) % 114.29/114.59 (define @t321 () (@list false false false)) % 114.29/114.59 (define @t322 () (or @t141 @t140 @t54)) % 114.29/114.59 (define @t323 () (=> @t143 @t54)) % 114.29/114.59 (define @t324 () (tptp.ssItem @t161)) % 114.29/114.59 (define @t325 () (or @t165 @t166 @t324)) % 114.29/114.59 (define @t326 () (forall @t9 @t322)) % 114.29/114.59 (define @t327 () (or @t165 @t170 @t324)) % 114.29/114.59 (define @t328 () (tptp.memberP @t159 @t161)) % 114.29/114.59 (define @t329 () (not @t328)) % 114.29/114.59 (define @t330 () (tptp.cons @t161 tptp.nil)) % 114.29/114.59 (define @t331 () (forall @t31 (or @t148 (not (tptp.segmentP tptp.nil (tptp.app (tptp.app @t330 @t27) @t330)))))) % 114.29/114.59 (define @t332 () (not @t331)) % 114.29/114.59 (define @t333 () (or @t332 @t329)) % 114.29/114.59 (define @t334 () (and (or @t328 @t173 (not (tptp.segmentP tptp.nil (tptp.app (tptp.app @t330 tptp.nil) @t330)))) @t333)) % 114.29/114.59 (define @t335 () (not @t324)) % 114.29/114.59 (define @t336 () (or @t335 @t334)) % 114.29/114.59 (define @t337 () (@list false false)) % 114.29/114.59 (define @t338 () (@quantifiers_skolemize @t331 0)) % 114.29/114.59 (define @t339 () (tptp.ssList @t338)) % 114.29/114.59 (define @t340 () (tptp.app @t330 @t338)) % 114.29/114.59 (define @t341 () (tptp.app @t340 @t330)) % 114.29/114.59 (define @t342 () (tptp.segmentP tptp.nil @t341)) % 114.29/114.59 (define @t343 () (not @t342)) % 114.29/114.59 (define @t344 () (not @t339)) % 114.29/114.59 (define @t345 () (or @t344 @t343)) % 114.29/114.59 (define @t346 () (@var "BOUND_VARIABLE_10528" $$unsorted)) % 114.29/114.59 (define @t347 () (= (tptp.cons @t346 @t2) (tptp.app (tptp.cons @t346 tptp.nil) @t2))) % 114.29/114.59 (define @t348 () (not (tptp.ssItem @t346))) % 114.29/114.59 (define @t349 () (or @t141 @t348 @t347)) % 114.29/114.59 (define @t350 () (or @t348 @t347)) % 114.29/114.59 (define @t351 () (or @t141 @t350)) % 114.29/114.59 (define @t352 () (@list @t2 @t346)) % 114.29/114.59 (define @t353 () (forall @t352 @t351)) % 114.29/114.59 (define @t354 () (@list @t346)) % 114.29/114.59 (define @t355 () (forall @t354 @t351)) % 114.29/114.59 (define @t356 () (forall @t354 @t350)) % 114.29/114.59 (define @t357 () (or @t141 @t356)) % 114.29/114.59 (define @t358 () (forall @t7 (or @t317 @t101))) % 114.29/114.59 (define @t359 () (tptp.cons @t161 @t338)) % 114.29/114.59 (define @t360 () (or @t344 @t335 (= @t359 @t340))) % 114.29/114.59 (define @t361 () (forall @t352 @t349)) % 114.29/114.59 (define @t362 () (@list @t338 @t161)) % 114.29/114.59 (define @t363 () (= @t340 @t359)) % 114.29/114.59 (define @t364 () (or @t344 @t335 @t363)) % 114.29/114.59 (define @t365 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 114.29/114.59 (define @t366 () (tptp.ssList (tptp.cons @t365 @t2))) % 114.29/114.59 (define @t367 () (not (tptp.ssItem @t365))) % 114.29/114.59 (define @t368 () (or @t367 @t366)) % 114.29/114.59 (define @t369 () (or @t141 @t368)) % 114.29/114.59 (define @t370 () (forall (@list @t2 @t365) @t369)) % 114.29/114.59 (define @t371 () (@list @t365)) % 114.29/114.59 (define @t372 () (forall @t371 @t369)) % 114.29/114.59 (define @t373 () (forall @t371 @t368)) % 114.29/114.59 (define @t374 () (or @t141 @t373)) % 114.29/114.59 (define @t375 () (forall @t7 (or @t317 @t38))) % 114.29/114.59 (define @t376 () (tptp.ssList @t359)) % 114.29/114.59 (define @t377 () (or @t344 @t335 @t376)) % 114.29/114.59 (define @t378 () (tptp.ssList @t340)) % 114.29/114.59 (define @t379 () (and @t363 @t376)) % 114.29/114.59 (define @t380 () (tptp.ssList @t330)) % 114.29/114.59 (define @t381 () (or @t173 @t335 @t380)) % 114.29/114.59 (define @t382 () (@var "BOUND_VARIABLE_10597" $$unsorted)) % 114.29/114.59 (define @t383 () (and (= @t382 tptp.nil) @t140)) % 114.29/114.59 (define @t384 () (= tptp.nil (tptp.app @t2 @t382))) % 114.29/114.59 (define @t385 () (= @t384 @t383)) % 114.29/114.59 (define @t386 () (not (tptp.ssList @t382))) % 114.29/114.59 (define @t387 () (or @t141 @t386 @t385)) % 114.29/114.59 (define @t388 () (or @t386 @t385)) % 114.29/114.59 (define @t389 () (or @t141 @t388)) % 114.29/114.59 (define @t390 () (@list @t2 @t382)) % 114.29/114.59 (define @t391 () (forall @t390 @t389)) % 114.29/114.59 (define @t392 () (@list @t382)) % 114.29/114.59 (define @t393 () (forall @t392 @t389)) % 114.29/114.59 (define @t394 () (forall @t392 @t388)) % 114.29/114.59 (define @t395 () (or @t141 @t394)) % 114.29/114.59 (define @t396 () (= @t106 (and @t183 @t140))) % 114.29/114.59 (define @t397 () (forall @t7 (or @t185 @t396))) % 114.29/114.59 (define @t398 () (= tptp.nil @t330)) % 114.29/114.59 (define @t399 () (and @t398 (= @t340 tptp.nil))) % 114.29/114.59 (define @t400 () (= tptp.nil @t341)) % 114.29/114.59 (define @t401 () (= @t400 @t399)) % 114.29/114.59 (define @t402 () (not @t380)) % 114.29/114.59 (define @t403 () (not @t378)) % 114.29/114.59 (define @t404 () (or @t403 @t402 @t401)) % 114.29/114.59 (define @t405 () (forall @t390 (or @t141 @t386 (= @t384 (and (= tptp.nil @t382) @t140))))) % 114.29/114.59 (define @t406 () (@list @t340 @t330)) % 114.29/114.59 (define @t407 () (and @t398 (= tptp.nil @t340))) % 114.29/114.59 (define @t408 () (= @t400 @t407)) % 114.29/114.59 (define @t409 () (or @t403 @t402 @t408)) % 114.29/114.59 (define @t410 () (@var "BOUND_VARIABLE_9369" $$unsorted)) % 114.29/114.59 (define @t411 () (tptp.ssList (tptp.app @t2 @t410))) % 114.29/114.59 (define @t412 () (not (tptp.ssList @t410))) % 114.29/114.59 (define @t413 () (or @t412 @t411)) % 114.29/114.59 (define @t414 () (or @t141 @t413)) % 114.29/114.59 (define @t415 () (forall (@list @t2 @t410) @t414)) % 114.29/114.59 (define @t416 () (@list @t410)) % 114.29/114.59 (define @t417 () (forall @t416 @t414)) % 114.29/114.59 (define @t418 () (forall @t416 @t413)) % 114.29/114.59 (define @t419 () (or @t141 @t418)) % 114.29/114.59 (define @t420 () (forall @t7 (or @t185 @t66))) % 114.29/114.59 (define @t421 () (tptp.ssList @t341)) % 114.29/114.59 (define @t422 () (or @t403 @t402 @t421)) % 114.29/114.59 (define @t423 () (@var "BOUND_VARIABLE_9703" $$unsorted)) % 114.29/114.59 (define @t424 () (@var "BOUND_VARIABLE_9701" $$unsorted)) % 114.29/114.59 (define @t425 () (= (tptp.memberP (tptp.cons @t424 @t423) @t2) (or (= @t2 @t424) (tptp.memberP @t423 @t2)))) % 114.29/114.59 (define @t426 () (not (tptp.ssList @t423))) % 114.29/114.59 (define @t427 () (not (tptp.ssItem @t424))) % 114.29/114.59 (define @t428 () (not @t8)) % 114.29/114.59 (define @t429 () (or @t428 @t427 @t426 @t425)) % 114.29/114.59 (define @t430 () (or @t427 @t426 @t425)) % 114.29/114.59 (define @t431 () (or @t428 @t430)) % 114.29/114.59 (define @t432 () (@list @t2 @t424 @t423)) % 114.29/114.59 (define @t433 () (forall @t432 @t431)) % 114.29/114.59 (define @t434 () (@list @t424 @t423)) % 114.29/114.59 (define @t435 () (forall @t434 @t431)) % 114.29/114.59 (define @t436 () (forall @t434 @t430)) % 114.29/114.59 (define @t437 () (@var "BOUND_VARIABLE_9682" $$unsorted)) % 114.29/114.59 (define @t438 () (or @t428 @t436)) % 114.29/114.59 (define @t439 () (= (tptp.memberP (tptp.cons @t1 @t437) @t2) (or @t3 (tptp.memberP @t437 @t2)))) % 114.29/114.59 (define @t440 () (not (tptp.ssList @t437))) % 114.29/114.59 (define @t441 () (or @t317 @t440 @t439)) % 114.29/114.59 (define @t442 () (@list @t1 @t437)) % 114.29/114.59 (define @t443 () (forall @t442 @t441)) % 114.29/114.59 (define @t444 () (or @t440 @t439)) % 114.29/114.59 (define @t445 () (or @t317 @t444)) % 114.29/114.59 (define @t446 () (forall @t442 @t445)) % 114.29/114.59 (define @t447 () (@list @t437)) % 114.29/114.59 (define @t448 () (forall @t447 @t445)) % 114.29/114.59 (define @t449 () (forall @t447 @t444)) % 114.29/114.59 (define @t450 () (or @t317 @t449)) % 114.29/114.59 (define @t451 () (forall @t16 (or @t197 @t79))) % 114.29/114.59 (define @t452 () (tptp.memberP @t330 @t161)) % 114.29/114.59 (define @t453 () (tptp.memberP tptp.nil @t161)) % 114.29/114.59 (define @t454 () (= @t161 @t161)) % 114.29/114.59 (define @t455 () (or @t454 @t453)) % 114.29/114.59 (define @t456 () (= @t452 @t455)) % 114.29/114.59 (define @t457 () (or @t335 @t335 @t173 @t456)) % 114.29/114.59 (define @t458 () (forall @t432 @t429)) % 114.29/114.59 (define @t459 () (or @t335 @t335 @t173 @t452)) % 114.29/114.59 (define @t460 () (@list @t458)) % 114.29/114.59 (define @t461 () (not @t453)) % 114.29/114.59 (define @t462 () (or @t335 @t461)) % 114.29/114.59 (define @t463 () (not @t452)) % 114.29/114.59 (define @t464 () (not @t398)) % 114.29/114.59 (define @t465 () (= false true)) % 114.29/114.59 (define @t466 () (and @t452 @t398 @t461)) % 114.29/114.59 (define @t467 () (not @t407)) % 114.29/114.59 (define @t468 () (= @t88 @t140)) % 114.29/114.59 (define @t469 () (= @t342 (= @t341 tptp.nil))) % 114.29/114.59 (define @t470 () (not @t421)) % 114.29/114.59 (define @t471 () (or @t470 @t469)) % 114.29/114.59 (define @t472 () (forall @t9 (or @t141 @t468))) % 114.29/114.59 (define @t473 () (= @t342 @t400)) % 114.29/114.59 (define @t474 () (or @t470 @t473)) % 114.29/114.59 (define @t475 () (not @t345)) % 114.29/114.59 (define @t476 () (tptp.memberP (tptp.cons @t161 @t290) @t161)) % 114.29/114.59 (define @t477 () (tptp.memberP @t290 @t161)) % 114.29/114.59 (define @t478 () (or @t454 @t477)) % 114.29/114.59 (define @t479 () (= @t476 @t478)) % 114.29/114.59 (define @t480 () (or @t335 @t335 @t298 @t479)) % 114.29/114.59 (define @t481 () (or @t335 @t335 @t298 @t476)) % 114.29/114.59 (define @t482 () (not @t476)) % 114.29/114.59 (define @t483 () (not @t319)) % 114.29/114.59 (define @t484 () (not @t163)) % 114.29/114.59 (define @t485 () (and @t476 @t319 @t293 @t163 @t329)) % 114.29/114.59 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 114.29/114.59 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 114.29/114.59 (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))))))))))) % 114.29/114.59 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 114.29/114.59 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 114.29/114.59 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 114.29/114.59 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 114.29/114.59 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 114.29/114.59 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 114.29/114.59 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 114.29/114.59 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 114.29/114.59 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 114.29/114.59 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 114.29/114.59 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 114.29/114.59 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 114.29/114.59 (assume @p16 @t41) % 114.29/114.59 (assume @p17 @t42) % 114.29/114.59 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 114.29/114.59 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 114.29/114.59 (assume @p20 @t52) % 114.29/114.59 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 114.29/114.59 (assume @p22 @t58) % 114.29/114.59 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 114.29/114.59 (assume @p24 (forall @t9 (=> @t17 (=> @t55 (tptp.ssList @t59))))) % 114.29/114.59 (assume @p25 @t64) % 114.29/114.59 (assume @p26 @t69) % 114.29/114.59 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t70) (tptp.app @t44 @t2))))))))) % 114.29/114.59 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 114.29/114.59 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t72 @t71) @t3)))))) % 114.29/114.59 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 @t26) (tptp.leq @t2 @t12))))))))) % 114.29/114.59 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 114.29/114.59 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t73 @t71)))))) % 114.29/114.59 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t75 (not @t74))))))) % 114.29/114.59 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t75 @t35) @t76)))))))) % 114.29/114.59 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 @t74)))))) % 114.29/114.59 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t78))))))))) % 114.29/114.59 (assume @p37 @t84) % 114.29/114.59 (assume @p38 @t86) % 114.29/114.59 (assume @p39 (not (tptp.singletonP tptp.nil))) % 114.29/114.59 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 114.29/114.59 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 114.29/114.59 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 114.29/114.59 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 114.29/114.59 (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)))))))))))) % 114.29/114.59 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 114.29/114.59 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t49)))) % 114.29/114.59 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 114.29/114.59 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 114.29/114.59 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 114.29/114.59 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t87 @t1))))))))) % 114.29/114.59 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 114.29/114.59 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t49)))) % 114.29/114.59 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 114.29/114.59 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 114.29/114.59 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 114.29/114.59 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t87 @t10) @t1))))))))))) % 114.29/114.59 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 114.29/114.59 (assume @p58 @t90) % 114.29/114.59 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t91)))) % 114.29/114.59 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 114.29/114.59 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t91)))) % 114.29/114.59 (assume @p62 (tptp.totalorderP tptp.nil)) % 114.29/114.59 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t91)))) % 114.29/114.59 (assume @p64 (tptp.strictorderP tptp.nil)) % 114.29/114.59 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t91)))) % 114.29/114.59 (assume @p66 (tptp.totalorderedP tptp.nil)) % 114.29/114.59 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t95) (or @t93 (and @t94 (tptp.totalorderedP @t1) (tptp.leq @t2 @t92))))))))) % 114.29/114.59 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t91)))) % 114.29/114.59 (assume @p69 (tptp.strictorderedP tptp.nil)) % 114.29/114.59 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t95) (or @t93 (and @t94 (tptp.strictorderedP @t1) (tptp.lt @t2 @t92))))))))) % 114.29/114.59 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t91)))) % 114.29/114.59 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 114.29/114.59 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t91)))) % 114.29/114.59 (assume @p74 (tptp.equalelemsP tptp.nil)) % 114.29/114.59 (assume @p75 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t6 (= @t53 @t1))))))) % 114.29/114.59 (assume @p76 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t21 (= @t59 @t1))))))) % 114.29/114.59 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t94 @t55 (= @t92 @t53) (= (tptp.tl @t1) @t59)) @t43)))))) % 114.29/114.59 (assume @p78 @t99) % 114.29/114.59 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t65) @t100)))))))) % 114.29/114.59 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t70) @t100)))))))) % 114.29/114.59 (assume @p81 @t104) % 114.29/114.59 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t65 @t12) (tptp.app @t2 @t19))))))))) % 114.29/114.59 (assume @p83 @t111) % 114.29/114.59 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 114.29/114.59 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t55 (= (tptp.hd @t65) @t53))))))) % 114.29/114.59 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t55 (= (tptp.tl @t65) (tptp.app @t59 @t1)))))))) % 114.29/114.59 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t73 (tptp.geq @t1 @t2)) @t3)))))) % 114.29/114.59 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t73 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 114.29/114.59 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 114.29/114.59 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 114.29/114.59 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 @t35) @t76)))))))) % 114.29/114.59 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (or @t3 @t75))))))) % 114.29/114.59 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 (and @t4 @t72))))))) % 114.29/114.59 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not (tptp.gt @t1 @t2)))))))) % 114.29/114.59 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 114.29/114.59 (assume @p96 @t138) % 114.29/114.59 (assume @p97 true) % 114.29/114.59 (step @p98 :rule aci_norm :args ((= (or @t141 (or @t140 @t139)) @t142))) % 114.29/114.59 (step @p99 :rule refl :args (@t139)) % 114.29/114.59 (step @p100 :rule bool-double-not-elim :args (@t140)) % 114.29/114.59 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t144 @t139))) % 114.29/114.59 (step @p102 :rule bool-impl-elim :args (@t143 @t139)) % 114.29/114.59 (step @p103 :rule trans :premises (@p102 @p101)) % 114.29/114.59 (step @p104 :rule refl :args (@t141)) % 114.29/114.59 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t141 @t145))) % 114.29/114.59 (step @p106 :rule trans :premises (@p105 @p98)) % 114.29/114.59 (step @p107 :rule bool-impl-elim :args (@t17 @t145)) % 114.29/114.59 (step @p108 :rule trans :premises (@p107 @p106)) % 114.29/114.59 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t145)))) % 114.29/114.59 (step @p110 :rule eq-symm :args (@t96 @t2)) % 114.29/114.59 (step @p111 :rule eq-symm :args (tptp.nil @t2)) % 114.29/114.59 (step @p112 :rule cong :premises (@p111) :args (@t55)) % 114.29/114.59 (step @p113 :rule cong :premises (@p112 @p110) :args (@t97)) % 114.29/114.59 (step @p114 :rule refl :args (@t17)) % 114.29/114.59 (step @p115 :rule cong :premises (@p114 @p113) :args (@t98)) % 114.29/114.59 (step @p116 :rule cong :premises (@p115) :args (@t99)) % 114.29/114.59 (step @p117 :rule trans :premises (@p116 @p109)) % 114.29/114.59 (step @p118 :rule eq_resolve :premises (@p78 @p117)) % 114.29/114.59 (step @p119 :rule refl :args (@t163)) % 114.29/114.59 (step @p120 :rule eq-symm :args (@t159 tptp.nil)) % 114.29/114.59 (step @p121 :rule refl :args (@t165)) % 114.29/114.59 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t167)) % 114.29/114.59 (step @p123 :rule refl :args (@t168)) % 114.29/114.59 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t168 @t167))) % 114.29/114.59 (assume-push @p903 @t168) % 114.29/114.59 (step @p126 :rule instantiate :premises (@p118) :args (@t169)) % 114.29/114.59 (step-pop @p904 :rule scope :premises (@p126)) % 114.29/114.59 (step @p127 :rule process_scope :premises (@p904) :args (@t167)) % 114.29/114.59 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 114.29/114.59 (step @p130 :rule implies_elim :premises (@p129)) % 114.29/114.59 (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t171 @t172 (@list @t168))) % 114.29/114.59 (step @p132 :rule quant-miniscope-or :args ((= (forall @t9 @t174) (or @t173 @t158)))) % 114.29/114.59 (step @p133 :rule aci_norm :args ((= @t175 @t174))) % 114.29/114.59 (step @p134 :rule cong :premises (@p133) :args ((forall @t9 @t175))) % 114.29/114.59 (step @p135 :rule trans :premises (@p134 @p132)) % 114.29/114.59 (step @p136 :rule aci_norm :args ((= (or @t141 @t176) @t175))) % 114.29/114.59 (step @p137 :rule bool-impl-elim :args (@t17 @t176)) % 114.29/114.59 (step @p138 :rule trans :premises (@p137 @p136)) % 114.29/114.59 (step @p139 :rule cong :premises (@p138) :args ((forall @t9 (=> @t17 @t176)))) % 114.29/114.59 (step @p140 :rule trans :premises (@p139 @p135)) % 114.29/114.59 (step @p141 :rule aci_norm :args ((= (or @t140 @t141 @t177) @t176))) % 114.29/114.59 (step @p142 :rule aci_norm :args ((= (or @t173 false @t156) @t177))) % 114.29/114.59 (step @p143 :rule refl :args (@t156)) % 114.29/114.59 (step @p144 :rule evaluate :args ((not true))) % 114.29/114.59 (step @p145 :rule eq-refl :args (tptp.nil)) % 114.29/114.59 (step @p146 :rule cong :premises (@p145) :args (@t178)) % 114.29/114.59 (step @p147 :rule trans :premises (@p146 @p144)) % 114.29/114.59 (step @p148 :rule refl :args (@t173)) % 114.29/114.59 (step @p149 :rule nary_cong :premises (@p148 @p147 @p143) :args (@t179)) % 114.29/114.59 (step @p150 :rule trans :premises (@p149 @p142)) % 114.29/114.59 (step @p151 :rule quant-var-elim-eq :args ((= (forall @t7 @t186) @t179))) % 114.29/114.59 (step @p152 :rule aci_norm :args ((= @t187 @t186))) % 114.29/114.59 (step @p153 :rule cong :premises (@p152) :args (@t188)) % 114.29/114.59 (step @p154 :rule trans :premises (@p153 @p151)) % 114.29/114.59 (step @p155 :rule trans :premises (@p154 @p150)) % 114.29/114.59 (step @p156 :rule refl :args (@t141)) % 114.29/114.59 (step @p157 :rule refl :args (@t140)) % 114.29/114.59 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155) :args (@t189)) % 114.29/114.59 (step @p159 :rule trans :premises (@p158 @p141)) % 114.29/114.59 (step @p160 :rule quant-miniscope-or :args ((= (forall @t7 @t190) @t189))) % 114.29/114.59 (step @p161 :rule aci_norm :args ((= @t191 @t190))) % 114.29/114.59 (step @p162 :rule cong :premises (@p161) :args ((forall @t7 @t191))) % 114.29/114.59 (step @p163 :rule trans :premises (@p162 @p160)) % 114.29/114.59 (step @p164 :rule trans :premises (@p163 @p159)) % 114.29/114.59 (step @p165 :rule aci_norm :args ((= (or @t185 @t192) @t191))) % 114.29/114.59 (step @p166 :rule bool-impl-elim :args (@t21 @t192)) % 114.29/114.59 (step @p167 :rule trans :premises (@p166 @p165)) % 114.29/114.59 (step @p168 :rule cong :premises (@p167) :args ((forall @t7 (=> @t21 @t192)))) % 114.29/114.59 (step @p169 :rule trans :premises (@p168 @p164)) % 114.29/114.59 (step @p170 :rule aci_norm :args ((= (or @t184 @t140 @t185 @t193) @t192))) % 114.29/114.59 (step @p171 :rule aci_norm :args ((= (or @t141 false @t182) @t193))) % 114.29/114.59 (step @p172 :rule refl :args (@t182)) % 114.29/114.59 (step @p173 :rule eq-refl :args (@t2)) % 114.29/114.59 (step @p174 :rule cong :premises (@p173) :args (@t194)) % 114.29/114.59 (step @p175 :rule trans :premises (@p174 @p144)) % 114.29/114.59 (step @p176 :rule nary_cong :premises (@p156 @p175 @p172) :args (@t195)) % 114.29/114.59 (step @p177 :rule trans :premises (@p176 @p171)) % 114.29/114.59 (step @p178 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t100) @t197 @t127 @t196)) @t195))) % 114.29/114.59 (step @p179 :rule refl :args (@t196)) % 114.29/114.59 (step @p180 :rule refl :args (@t127)) % 114.29/114.59 (step @p181 :rule refl :args (@t197)) % 114.29/114.59 (step @p182 :rule eq-symm :args (@t2 @t12)) % 114.29/114.59 (step @p183 :rule cong :premises (@p182) :args (@t127)) % 114.29/114.59 (step @p184 :rule nary_cong :premises (@p183 @p181 @p180 @p179) :args (@t198)) % 114.29/114.59 (step @p185 :rule aci_norm :args ((= @t199 @t198))) % 114.29/114.59 (step @p186 :rule trans :premises (@p185 @p184)) % 114.29/114.59 (step @p187 :rule cong :premises (@p186) :args (@t200)) % 114.29/114.59 (step @p188 :rule trans :premises (@p187 @p178)) % 114.29/114.59 (step @p189 :rule trans :premises (@p188 @p177)) % 114.29/114.59 (step @p190 :rule refl :args (@t185)) % 114.29/114.59 (step @p191 :rule refl :args (@t184)) % 114.29/114.59 (step @p192 :rule nary_cong :premises (@p191 @p157 @p190 @p189) :args (@t201)) % 114.29/114.59 (step @p193 :rule trans :premises (@p192 @p170)) % 114.29/114.59 (step @p194 :rule quant-miniscope-or :args ((= (forall @t16 @t202) @t201))) % 114.29/114.59 (step @p195 :rule aci_norm :args ((= @t203 @t202))) % 114.29/114.59 (step @p196 :rule cong :premises (@p195) :args ((forall @t16 @t203))) % 114.29/114.59 (step @p197 :rule trans :premises (@p196 @p194)) % 114.29/114.59 (step @p198 :rule trans :premises (@p197 @p193)) 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(@p292 @p277)) % 114.29/114.59 (step @p294 :rule refl :args (@t128)) % 114.29/114.59 (step @p295 :rule eq-symm :args (tptp.nil @t1)) % 114.29/114.59 (step @p296 :rule cong :premises (@p295) :args (@t94)) % 114.29/114.59 (step @p297 :rule nary_cong :premises (@p296 @p294 @p224 @p111 @p293) :args (@t129)) % 114.29/114.59 (step @p298 :rule refl :args (@t13)) % 114.29/114.59 (step @p299 :rule cong :premises (@p298 @p297) :args (@t130)) % 114.29/114.59 (step @p300 :rule cong :premises (@p299) :args (@t131)) % 114.29/114.59 (step @p301 :rule trans :premises (@p300 @p236)) % 114.29/114.59 (step @p302 :rule refl :args (@t15)) % 114.29/114.59 (step @p303 :rule cong :premises (@p302 @p301) :args (@t132)) % 114.29/114.59 (step @p304 :rule cong :premises (@p303) :args (@t133)) % 114.29/114.59 (step @p305 :rule trans :premises (@p304 @p203)) % 114.29/114.59 (step @p306 :rule refl :args (@t21)) % 114.29/114.59 (step @p307 :rule cong :premises (@p306 @p305) :args (@t134)) % 114.29/114.59 (step @p308 :rule cong :premises (@p307) :args (@t135)) % 114.29/114.59 (step @p309 :rule trans :premises (@p308 @p169)) % 114.29/114.59 (step @p310 :rule cong :premises (@p114 @p309) :args (@t136)) % 114.29/114.59 (step @p311 :rule cong :premises (@p310) :args (@t137)) % 114.29/114.59 (step @p312 :rule trans :premises (@p311 @p140)) % 114.29/114.59 (step @p313 :rule cong :premises (@p312) :args (@t138)) % 114.29/114.59 (step @p314 :rule eq_resolve :premises (@p96 @p313)) % 114.29/114.59 (step @p315 :rule not_or_elim :premises (@p314) :args (1)) % 114.29/114.59 (step @p316 :rule refl :args (@t248)) % 114.29/114.59 (step @p317 :rule bool-double-not-elim :args (@t158)) % 114.29/114.59 (step @p318 :rule nary_cong :premises (@p317 @p316) :args ((or (not @t249) @t248))) % 114.29/114.59 (step @p319 :rule refl :args (@t246)) % 114.29/114.59 (step @p320 :rule nary_cong :premises (@p121 @p120 @p319) :args (@t250)) % 114.29/114.59 (step @p321 :rule cong :premises (@p320) :args (@t251)) % 114.29/114.59 (step @p322 :rule refl :args (@t249)) % 114.29/114.59 (step @p323 :rule cong :premises (@p322 @p321) :args ((=> @t249 @t251))) % 114.29/114.59 (assume-push @p905 @t249) % 114.29/114.59 (step @p325 :rule skolemize :premises (@p315)) % 114.29/114.59 (step-pop @p906 :rule scope :premises (@p325)) % 114.29/114.59 (step @p326 :rule process_scope :premises (@p906) :args (@t251)) % 114.29/114.59 (step @p328 :rule eq_resolve :premises (@p326 @p323)) % 114.29/114.59 (step @p329 :rule implies_elim :premises (@p328)) % 114.29/114.59 (step @p330 :rule eq_resolve :premises (@p329 @p318)) % 114.29/114.59 (step @p331 :rule chain_m_resolution :premises (@p330 @p315) :args (@t248 @t252 (@list @t158))) % 114.29/114.59 (step @p332 :rule cnf_or_neg :args (@t247 1)) % 114.29/114.59 (step @p333 :rule chain_m_resolution :premises (@p332 @p331) :args ((not @t170) @t252 @t253)) % 114.29/114.59 (step @p334 :rule bool-double-not-elim :args (@t164)) % 114.29/114.59 (step @p335 :rule refl :args (@t247)) % 114.29/114.59 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((or @t247 (not @t165)))) % 114.29/114.59 (step @p337 :rule cnf_or_neg :args (@t247 0)) % 114.29/114.59 (step @p338 :rule eq_resolve :premises (@p337 @p336)) % 114.29/114.59 (step @p339 :rule reordering :premises (@p338) :args ((or @t164 @t247))) % 114.29/114.59 (step @p340 :rule chain_m_resolution :premises (@p339 @p331) :args (@t164 @t252 @t253)) % 114.29/114.59 (step @p341 :rule cnf_or_pos :args (@t171)) % 114.29/114.59 (step @p342 :rule reordering :premises (@p341) :args ((or @t165 @t170 @t163 (not @t171)))) % 114.29/114.59 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p333 @p131) :args (@t163 @t254 (@list @t164 @t170 @t171))) % 114.29/114.59 (step @p344 :rule aci_norm :args ((= (or @t141 @t263) @t262))) % 114.29/114.59 (step @p345 :rule bool-impl-elim :args (@t17 @t263)) % 114.29/114.59 (step @p346 :rule trans :premises (@p345 @p344)) % 114.29/114.59 (step @p347 :rule cong :premises (@p346) :args ((forall @t9 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114.29/114.59 (step @p375 :rule refl :args (@t34)) % 114.29/114.59 (step @p376 :rule nary_cong :premises (@p375 @p374) :args (@t45)) % 114.29/114.59 (step @p377 :rule cong :premises (@p376) :args (@t46)) % 114.29/114.59 (step @p378 :rule trans :premises (@p377 @p373)) % 114.29/114.59 (step @p379 :rule nary_cong :premises (@p306 @p378) :args (@t47)) % 114.29/114.59 (step @p380 :rule cong :premises (@p379) :args (@t48)) % 114.29/114.59 (step @p381 :rule trans :premises (@p380 @p368)) % 114.29/114.59 (step @p382 :rule nary_cong :premises (@p111 @p381) :args (@t50)) % 114.29/114.59 (step @p383 :rule cong :premises (@p114 @p382) :args (@t51)) % 114.29/114.59 (step @p384 :rule cong :premises (@p383) :args (@t52)) % 114.29/114.59 (step @p385 :rule trans :premises (@p384 @p347)) % 114.29/114.59 (step @p386 :rule eq_resolve :premises (@p20 @p385)) % 114.29/114.59 (step @p387 :rule eq-symm :args (@t159 @t256)) % 114.29/114.59 (step @p388 :rule cong :premises (@p387) :args (@t281)) % 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chain_m_resolution :premises (@p852 @p725) :args (@t481 @t172 @t460)) % 114.41/114.60 (step @p854 :rule cnf_or_pos :args (@t481)) % 114.41/114.60 (step @p855 :rule factoring :premises (@p854)) % 114.41/114.60 (step @p856 :rule reordering :premises (@p855) :args ((or @t335 @t298 @t476 (not @t481)))) % 114.41/114.60 (step @p857 :rule chain_m_resolution :premises (@p856 @p509 @p469 @p853) :args (@t476 @t321 (@list @t324 @t297 @t481))) % 114.41/114.60 (step @p858 :rule refl :args (@t482)) % 114.41/114.60 (step @p859 :rule bool-double-not-elim :args (@t328)) % 114.41/114.60 (step @p860 :rule refl :args (@t483)) % 114.41/114.60 (step @p861 :rule refl :args (@t294)) % 114.41/114.60 (step @p862 :rule refl :args (@t484)) % 114.41/114.60 (step @p863 :rule nary_cong :premises (@p862 @p861 @p860 @p859 @p858) :args ((or @t484 @t294 @t483 (not @t329) @t482))) % 114.41/114.60 (assume-push @p945 @t476) % 114.41/114.60 (assume-push @p946 @t319) % 114.41/114.60 (assume-push @p947 @t293) % 114.41/114.60 (assume-push @p948 @t163) % 114.41/114.60 (assume-push @p949 @t329) % 114.41/114.60 (step @p763 :rule evaluate :args (@t465)) % 114.41/114.60 (step @p869 :rule true_intro :premises (@p857)) % 114.41/114.60 (step @p765 :rule refl :args (@t161)) % 114.41/114.60 (step @p870 :rule symm :premises (@p472)) % 114.41/114.60 (step @p871 :rule cong :premises (@p431) :args (@t160)) % 114.41/114.60 (step @p872 :rule trans :premises (@p871 @p870)) % 114.41/114.60 (step @p873 :rule cong :premises (@p765 @p872) :args (@t162)) % 114.41/114.60 (step @p874 :rule trans :premises (@p343 @p873)) % 114.41/114.60 (step @p875 :rule cong :premises (@p874 @p765) :args (@t328)) % 114.41/114.60 (step @p876 :rule false_intro :premises (@p949)) % 114.41/114.60 (step @p877 :rule symm :premises (@p876)) % 114.41/114.60 (step @p878 :rule trans :premises (@p877 @p875 @p869)) % 114.41/114.60 (step @p879 false :rule eq_resolve :premises (@p878 @p763)) % 114.41/114.60 (step-pop @p950 :rule scope :premises (@p879)) % 114.41/114.60 (step-pop @p951 :rule scope :premises (@p950)) % 114.41/114.60 (step-pop @p952 :rule scope :premises (@p951)) % 114.41/114.60 (step-pop @p953 :rule scope :premises (@p952)) % 114.41/114.60 (step-pop @p954 :rule scope :premises (@p953)) % 114.41/114.60 (step @p880 :rule process_scope :premises (@p954) :args (false)) % 114.41/114.60 (assume-push @p955 @t163) % 114.41/114.60 (assume-push @p956 @t293) % 114.41/114.60 (assume-push @p957 @t319) % 114.41/114.60 (assume-push @p958 @t329) % 114.41/114.60 (assume-push @p959 @t476) % 114.41/114.60 (step @p891 :rule and_intro :premises (@p857 @p472 @p431 @p343 @p958)) % 114.41/114.60 (step-pop @p960 :rule scope :premises (@p891)) % 114.41/114.60 (step-pop @p961 :rule scope :premises (@p960)) % 114.41/114.60 (step-pop @p962 :rule scope :premises (@p961)) % 114.41/114.60 (step-pop @p963 :rule scope :premises (@p962)) % 114.41/114.60 (step-pop @p964 :rule scope :premises (@p963)) % 114.41/114.60 (step @p892 :rule process_scope :premises (@p964) :args (@t485)) % 114.41/114.60 (step @p898 :rule implies_elim :premises (@p892)) % 114.41/114.60 (step @p899 :rule resolution :premises (@p898 @p880) :args (true @t485)) % 114.41/114.60 (step @p900 :rule not_and :premises (@p899)) % 114.41/114.60 (step @p901 :rule eq_resolve :premises (@p900 @p863)) % 114.41/114.60 (step @p902 false :rule chain_m_resolution :premises (@p901 @p857 @p836 @p472 @p431 @p343) :args (false (@list false true false false false) (@list @t476 @t328 @t319 @t293 @t163))) % 114.41/114.60 ) % 114.41/114.60 % SZS output end Proof % 114.41/114.60 % cvc5 exiting %------------------------------------------------------------------------------