%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC018+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 : n009.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 08:57:43 AM UTC 2026 % Result : Theorem 1.15s 1.33s % Output : Proof 1.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC018+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 % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:09:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 1.15/1.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.15/1.33 % SZS status Theorem % 1.15/1.33 % SZS output start Proof % 1.15/1.33 ( % 1.15/1.33 (declare-sort $$unsorted 0) % 1.15/1.33 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.15/1.33 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.15/1.33 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.15/1.33 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.15/1.33 (declare-const tptp.nil $$unsorted) % 1.15/1.33 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.15/1.33 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.15/1.33 (define @t1 () (@var "V" $$unsorted)) % 1.15/1.33 (define @t2 () (@var "U" $$unsorted)) % 1.15/1.33 (define @t3 () (= @t2 @t1)) % 1.15/1.33 (define @t4 () (not @t3)) % 1.15/1.33 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.15/1.33 (define @t6 () (tptp.ssItem @t1)) % 1.15/1.33 (define @t7 () (@list @t1)) % 1.15/1.33 (define @t8 () (tptp.ssItem @t2)) % 1.15/1.33 (define @t9 () (@list @t2)) % 1.15/1.33 (define @t10 () (@var "X" $$unsorted)) % 1.15/1.33 (define @t11 () (tptp.cons @t1 @t10)) % 1.15/1.33 (define @t12 () (@var "W" $$unsorted)) % 1.15/1.33 (define @t13 () (tptp.ssList @t10)) % 1.15/1.33 (define @t14 () (@list @t10)) % 1.15/1.33 (define @t15 () (tptp.ssList @t12)) % 1.15/1.33 (define @t16 () (@list @t12)) % 1.15/1.33 (define @t17 () (tptp.ssList @t2)) % 1.15/1.33 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.15/1.33 (define @t19 () (tptp.app @t1 @t12)) % 1.15/1.33 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.15/1.33 (define @t21 () (tptp.ssList @t1)) % 1.15/1.33 (define @t22 () (tptp.app @t12 @t1)) % 1.15/1.33 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.15/1.33 (define @t24 () (tptp.segmentP @t2 @t1)) % 1.15/1.33 (define @t25 () (tptp.leq @t12 @t1)) % 1.15/1.33 (define @t26 () (tptp.leq @t1 @t12)) % 1.15/1.33 (define @t27 () (@var "Z" $$unsorted)) % 1.15/1.33 (define @t28 () (@var "Y" $$unsorted)) % 1.15/1.33 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 1.15/1.33 (define @t30 () (tptp.ssList @t27)) % 1.15/1.33 (define @t31 () (@list @t27)) % 1.15/1.33 (define @t32 () (tptp.ssList @t28)) % 1.15/1.33 (define @t33 () (@list @t28)) % 1.15/1.33 (define @t34 () (tptp.ssItem @t12)) % 1.15/1.33 (define @t35 () (tptp.lt @t1 @t12)) % 1.15/1.33 (define @t36 () (= @t1 @t12)) % 1.15/1.33 (define @t37 () (tptp.equalelemsP @t2)) % 1.15/1.33 (define @t38 () (forall @t7 (=> @t21 @t5))) % 1.15/1.33 (define @t39 () (=> @t17 @t38)) % 1.15/1.33 (define @t40 () (forall @t9 @t39)) % 1.15/1.33 (define @t41 () (tptp.cons @t1 @t2)) % 1.15/1.33 (define @t42 () (tptp.ssList tptp.nil)) % 1.15/1.33 (define @t43 () (= @t1 @t2)) % 1.15/1.33 (define @t44 () (tptp.cons @t12 @t1)) % 1.15/1.33 (define @t45 () (= tptp.nil @t2)) % 1.15/1.33 (define @t46 () (tptp.hd @t2)) % 1.15/1.33 (define @t47 () (not @t45)) % 1.15/1.33 (define @t48 () (tptp.tl @t2)) % 1.15/1.33 (define @t49 () (tptp.app @t2 @t1)) % 1.15/1.33 (define @t50 () (tptp.app @t1 @t2)) % 1.15/1.33 (define @t51 () (tptp.leq @t1 @t2)) % 1.15/1.33 (define @t52 () (tptp.leq @t2 @t1)) % 1.15/1.33 (define @t53 () (tptp.geq @t2 @t1)) % 1.15/1.33 (define @t54 () (tptp.lt @t1 @t2)) % 1.15/1.33 (define @t55 () (tptp.lt @t2 @t1)) % 1.15/1.33 (define @t56 () (tptp.lt @t2 @t12)) % 1.15/1.33 (define @t57 () (tptp.gt @t2 @t1)) % 1.15/1.33 (define @t58 () (tptp.memberP @t12 @t2)) % 1.15/1.33 (define @t59 () (tptp.frontsegP @t2 @t2)) % 1.15/1.33 (define @t60 () (forall @t9 (=> @t17 @t59))) % 1.15/1.33 (define @t61 () (tptp.frontsegP (tptp.app @t2 @t12) @t1)) % 1.15/1.33 (define @t62 () (=> @t20 @t61)) % 1.15/1.33 (define @t63 () (forall @t16 (=> @t15 @t62))) % 1.15/1.33 (define @t64 () (=> @t21 @t63)) % 1.15/1.33 (define @t65 () (forall @t7 @t64)) % 1.15/1.33 (define @t66 () (=> @t17 @t65)) % 1.15/1.33 (define @t67 () (forall @t9 @t66)) % 1.15/1.33 (define @t68 () (tptp.frontsegP @t2 tptp.nil)) % 1.15/1.33 (define @t69 () (forall @t9 (=> @t17 @t68))) % 1.15/1.33 (define @t70 () (tptp.frontsegP tptp.nil @t2)) % 1.15/1.33 (define @t71 () (=> @t17 (= @t70 @t45))) % 1.15/1.33 (define @t72 () (forall @t9 @t71)) % 1.15/1.33 (define @t73 () (tptp.app @t12 @t2)) % 1.15/1.33 (define @t74 () (tptp.cons @t2 tptp.nil)) % 1.15/1.33 (define @t75 () (tptp.hd @t1)) % 1.15/1.33 (define @t76 () (= tptp.nil @t1)) % 1.15/1.33 (define @t77 () (not @t76)) % 1.15/1.33 (define @t78 () (tptp.cons @t2 @t1)) % 1.15/1.33 (define @t79 () (= @t12 @t2)) % 1.15/1.33 (define @t80 () (@var "X3" $$unsorted)) % 1.15/1.33 (define @t81 () (tptp.frontsegP @t2 @t80)) % 1.15/1.33 (define @t82 () (tptp.frontsegP @t1 @t80)) % 1.15/1.33 (define @t83 () (tptp.neq @t80 tptp.nil)) % 1.15/1.33 (define @t84 () (tptp.ssList @t80)) % 1.15/1.33 (define @t85 () (and @t84 @t83 @t82 @t81)) % 1.15/1.33 (define @t86 () (@list @t80)) % 1.15/1.33 (define @t87 () (exists @t86 @t85)) % 1.15/1.33 (define @t88 () (not (tptp.neq @t1 tptp.nil))) % 1.15/1.33 (define @t89 () (or @t88 @t87)) % 1.15/1.33 (define @t90 () (or @t77 @t45)) % 1.15/1.33 (define @t91 () (and @t90 @t89)) % 1.15/1.33 (define @t92 () (not (= tptp.nil @t10))) % 1.15/1.33 (define @t93 () (and @t92 (= tptp.nil @t12))) % 1.15/1.33 (define @t94 () (tptp.cons @t27 tptp.nil)) % 1.15/1.33 (define @t95 () (@var "X2" $$unsorted)) % 1.15/1.33 (define @t96 () (tptp.app @t95 @t94)) % 1.15/1.33 (define @t97 () (tptp.ssList @t95)) % 1.15/1.33 (define @t98 () (and @t97 (= @t96 @t12))) % 1.15/1.33 (define @t99 () (@list @t95)) % 1.15/1.33 (define @t100 () (exists @t99 @t98)) % 1.15/1.33 (define @t101 () (@var "X1" $$unsorted)) % 1.15/1.33 (define @t102 () (tptp.app @t94 @t101)) % 1.15/1.33 (define @t103 () (tptp.ssList @t101)) % 1.15/1.33 (define @t104 () (and @t103 (= @t102 @t28) @t100)) % 1.15/1.33 (define @t105 () (@list @t101)) % 1.15/1.33 (define @t106 () (exists @t105 @t104)) % 1.15/1.33 (define @t107 () (tptp.ssItem @t27)) % 1.15/1.33 (define @t108 () (and @t107 @t106)) % 1.15/1.33 (define @t109 () (exists @t31 @t108)) % 1.15/1.33 (define @t110 () (not (tptp.equalelemsP @t12))) % 1.15/1.33 (define @t111 () (tptp.app @t12 @t28)) % 1.15/1.33 (define @t112 () (not (= @t111 @t10))) % 1.15/1.33 (define @t113 () (or @t112 @t110 @t109)) % 1.15/1.33 (define @t114 () (=> @t32 @t113)) % 1.15/1.33 (define @t115 () (forall @t33 @t114)) % 1.15/1.33 (define @t116 () (not (= @t2 @t12))) % 1.15/1.33 (define @t117 () (not (= @t1 @t10))) % 1.15/1.33 (define @t118 () (or @t117 @t116 @t115 @t93 @t91)) % 1.15/1.33 (define @t119 () (=> @t13 @t118)) % 1.15/1.33 (define @t120 () (forall @t14 @t119)) % 1.15/1.33 (define @t121 () (=> @t15 @t120)) % 1.15/1.33 (define @t122 () (forall @t16 @t121)) % 1.15/1.33 (define @t123 () (=> @t21 @t122)) % 1.15/1.33 (define @t124 () (forall @t7 @t123)) % 1.15/1.33 (define @t125 () (=> @t17 @t124)) % 1.15/1.33 (define @t126 () (forall @t9 @t125)) % 1.15/1.33 (define @t127 () (not @t126)) % 1.15/1.33 (define @t128 () (= @t2 tptp.nil)) % 1.15/1.33 (define @t129 () (= @t70 @t128)) % 1.15/1.33 (define @t130 () (@var "BOUND_VARIABLE_11187" $$unsorted)) % 1.15/1.33 (define @t131 () (@var "BOUND_VARIABLE_10996" $$unsorted)) % 1.15/1.33 (define @t132 () (tptp.app @t94 @t131)) % 1.15/1.33 (define @t133 () (not (tptp.ssList @t131))) % 1.15/1.33 (define @t134 () (@var "BOUND_VARIABLE_10988" $$unsorted)) % 1.15/1.33 (define @t135 () (tptp.app @t134 @t94)) % 1.15/1.33 (define @t136 () (not (= @t2 @t135))) % 1.15/1.33 (define @t137 () (not (tptp.ssList @t134))) % 1.15/1.33 (define @t138 () (not @t107)) % 1.15/1.33 (define @t139 () (@list @t27 @t134 @t131)) % 1.15/1.33 (define @t140 () (not (forall @t139 (or @t138 @t137 @t136 @t133 (not (= @t132 @t130)))))) % 1.15/1.33 (define @t141 () (not (tptp.ssList @t130))) % 1.15/1.33 (define @t142 () (tptp.app @t2 @t130)) % 1.15/1.33 (define @t143 () (not (= tptp.nil @t142))) % 1.15/1.33 (define @t144 () (and @t143 @t128)) % 1.15/1.33 (define @t145 () (not @t81)) % 1.15/1.33 (define @t146 () (not @t83)) % 1.15/1.33 (define @t147 () (not @t84)) % 1.15/1.33 (define @t148 () (and (or @t143 @t128) (or (not (tptp.neq @t142 tptp.nil)) (not (forall @t86 (or @t147 @t146 (not (tptp.frontsegP @t142 @t80)) @t145)))))) % 1.15/1.33 (define @t149 () (not (tptp.ssList @t142))) % 1.15/1.33 (define @t150 () (not @t37)) % 1.15/1.33 (define @t151 () (not @t17)) % 1.15/1.33 (define @t152 () (or @t151 @t150 @t149 @t148 @t144 @t141 @t140)) % 1.15/1.33 (define @t153 () (@list @t2 @t130)) % 1.15/1.33 (define @t154 () (forall @t153 @t152)) % 1.15/1.33 (define @t155 () (@quantifiers_skolemize @t154 0)) % 1.15/1.33 (define @t156 () (tptp.frontsegP tptp.nil @t155)) % 1.15/1.33 (define @t157 () (= @t155 tptp.nil)) % 1.15/1.33 (define @t158 () (tptp.ssList @t155)) % 1.15/1.33 (define @t159 () (not @t158)) % 1.15/1.33 (define @t160 () (or @t159 (= @t156 @t157))) % 1.15/1.33 (define @t161 () (forall @t9 (or @t151 @t129))) % 1.15/1.33 (define @t162 () (@list @t155)) % 1.15/1.33 (define @t163 () (= tptp.nil @t155)) % 1.15/1.33 (define @t164 () (= @t163 @t156)) % 1.15/1.33 (define @t165 () (or @t159 @t164)) % 1.15/1.33 (define @t166 () (@list false)) % 1.15/1.33 (define @t167 () (or @t149 @t148 @t144 @t141 @t140)) % 1.15/1.33 (define @t168 () (or @t151 @t150 @t167)) % 1.15/1.33 (define @t169 () (forall @t153 @t168)) % 1.15/1.33 (define @t170 () (@list @t130)) % 1.15/1.33 (define @t171 () (forall @t170 @t168)) % 1.15/1.33 (define @t172 () (forall @t170 @t167)) % 1.15/1.33 (define @t173 () (@var "BOUND_VARIABLE_11137" $$unsorted)) % 1.15/1.33 (define @t174 () (@list @t173)) % 1.15/1.33 (define @t175 () (or @t151 @t150 @t172)) % 1.15/1.33 (define @t176 () (not (forall @t139 (or @t138 @t137 @t136 @t133 (not (= @t132 @t173)))))) % 1.15/1.33 (define @t177 () (not (tptp.ssList @t173))) % 1.15/1.33 (define @t178 () (tptp.app @t2 @t173)) % 1.15/1.33 (define @t179 () (not (= tptp.nil @t178))) % 1.15/1.33 (define @t180 () (and @t179 @t128)) % 1.15/1.33 (define @t181 () (or (not (tptp.neq @t178 tptp.nil)) (not (forall @t86 (or @t147 @t146 (not (tptp.frontsegP @t178 @t80)) @t145))))) % 1.15/1.33 (define @t182 () (and (or @t179 @t128) @t181)) % 1.15/1.33 (define @t183 () (not (tptp.ssList @t178))) % 1.15/1.33 (define @t184 () (or @t183 @t182 @t180 @t177 @t176)) % 1.15/1.33 (define @t185 () (@list @t173)) % 1.15/1.33 (define @t186 () (or @t151 @t150 (forall @t185 @t184))) % 1.15/1.33 (define @t187 () (not (= @t178 @t178))) % 1.15/1.33 (define @t188 () (not (= @t178 tptp.nil))) % 1.15/1.33 (define @t189 () (and @t188 @t128)) % 1.15/1.33 (define @t190 () (or @t188 @t128)) % 1.15/1.33 (define @t191 () (and @t190 @t181)) % 1.15/1.33 (define @t192 () (or @t183 @t191 @t189 @t177 @t187 @t176)) % 1.15/1.33 (define @t193 () (not (= @t1 @t178))) % 1.15/1.33 (define @t194 () (not (= @t1 tptp.nil))) % 1.15/1.33 (define @t195 () (and @t194 @t128)) % 1.15/1.33 (define @t196 () (not @t82)) % 1.15/1.33 (define @t197 () (or @t147 @t146 @t196 @t145)) % 1.15/1.33 (define @t198 () (and (or @t194 @t128) (or @t88 (not (forall @t86 @t197))))) % 1.15/1.33 (define @t199 () (not @t21)) % 1.15/1.33 (define @t200 () (or @t193 @t199 @t198 @t195 @t177 @t193 @t176)) % 1.15/1.33 (define @t201 () (or @t199 @t198 @t195 @t177 @t193 @t176)) % 1.15/1.33 (define @t202 () (forall @t7 @t201)) % 1.15/1.33 (define @t203 () (forall @t185 @t202)) % 1.15/1.33 (define @t204 () (forall (@list @t173 @t1) @t201)) % 1.15/1.33 (define @t205 () (@list @t1 @t173)) % 1.15/1.33 (define @t206 () (or @t177 @t193 @t176)) % 1.15/1.33 (define @t207 () (or @t199 @t198 @t195 @t206)) % 1.15/1.33 (define @t208 () (forall @t205 @t207)) % 1.15/1.33 (define @t209 () (forall @t185 @t207)) % 1.15/1.33 (define @t210 () (forall @t185 @t206)) % 1.15/1.33 (define @t211 () (@var "BOUND_VARIABLE_11089" $$unsorted)) % 1.15/1.33 (define @t212 () (@list @t211)) % 1.15/1.33 (define @t213 () (or @t199 @t198 @t195 @t210)) % 1.15/1.33 (define @t214 () (not (= @t132 @t211))) % 1.15/1.33 (define @t215 () (not (forall @t139 (or @t138 @t137 @t136 @t133 @t214)))) % 1.15/1.33 (define @t216 () (not (= @t1 (tptp.app @t2 @t211)))) % 1.15/1.33 (define @t217 () (not (tptp.ssList @t211))) % 1.15/1.33 (define @t218 () (or @t217 @t216 @t215)) % 1.15/1.33 (define @t219 () (@list @t211)) % 1.15/1.33 (define @t220 () (forall @t219 @t218)) % 1.15/1.33 (define @t221 () (or @t199 @t198 @t195 @t220)) % 1.15/1.33 (define @t222 () (forall @t7 @t221)) % 1.15/1.33 (define @t223 () (or @t151 @t150 @t222)) % 1.15/1.33 (define @t224 () (or @t151 @t150 @t221)) % 1.15/1.33 (define @t225 () (or @t199 @t198 @t151 @t150 @t195 @t220)) % 1.15/1.33 (define @t226 () (or @t198 @t199 @t151 @t150 @t195 @t220)) % 1.15/1.33 (define @t227 () (or @t151 @t150 @t195 @t220)) % 1.15/1.33 (define @t228 () (or @t151 @t150 @t195 @t218)) % 1.15/1.33 (define @t229 () (or @t151 @t150 @t195 @t217 @t216 @t215)) % 1.15/1.33 (define @t230 () (not (= @t2 @t2))) % 1.15/1.33 (define @t231 () (or @t151 @t230 @t150 @t195 @t217 @t216 @t215)) % 1.15/1.33 (define @t232 () (not (= @t12 @t135))) % 1.15/1.33 (define @t233 () (not (forall @t139 (or @t138 @t137 @t232 @t133 @t214)))) % 1.15/1.33 (define @t234 () (not (= @t1 (tptp.app @t12 @t211)))) % 1.15/1.33 (define @t235 () (= @t12 tptp.nil)) % 1.15/1.33 (define @t236 () (and @t194 @t235)) % 1.15/1.33 (define @t237 () (not @t15)) % 1.15/1.33 (define @t238 () (or @t116 @t237 @t116 @t110 @t236 @t217 @t234 @t233)) % 1.15/1.33 (define @t239 () (or @t237 @t116 @t110 @t236 @t217 @t234 @t233)) % 1.15/1.33 (define @t240 () (forall @t16 @t239)) % 1.15/1.33 (define @t241 () (forall @t219 @t240)) % 1.15/1.33 (define @t242 () (forall (@list @t211 @t12) @t239)) % 1.15/1.33 (define @t243 () (@list @t12 @t211)) % 1.15/1.33 (define @t244 () (or @t217 @t234 @t233)) % 1.15/1.33 (define @t245 () (or @t237 @t116 @t110 @t236 @t244)) % 1.15/1.33 (define @t246 () (forall @t243 @t245)) % 1.15/1.33 (define @t247 () (forall @t219 @t245)) % 1.15/1.33 (define @t248 () (forall @t219 @t244)) % 1.15/1.33 (define @t249 () (@var "BOUND_VARIABLE_11044" $$unsorted)) % 1.15/1.33 (define @t250 () (@list @t249)) % 1.15/1.33 (define @t251 () (or @t237 @t116 @t110 @t236 @t248)) % 1.15/1.33 (define @t252 () (not (forall @t139 (or @t138 @t137 @t232 @t133 (not (= @t132 @t249)))))) % 1.15/1.33 (define @t253 () (tptp.app @t12 @t249)) % 1.15/1.33 (define @t254 () (not (= @t1 @t253))) % 1.15/1.33 (define @t255 () (not (tptp.ssList @t249))) % 1.15/1.33 (define @t256 () (or @t255 @t254 @t252)) % 1.15/1.33 (define @t257 () (@list @t249)) % 1.15/1.33 (define @t258 () (forall @t257 @t256)) % 1.15/1.33 (define @t259 () (or @t237 @t116 @t110 @t236 @t258)) % 1.15/1.33 (define @t260 () (forall @t16 @t259)) % 1.15/1.33 (define @t261 () (or @t198 @t199 @t260)) % 1.15/1.33 (define @t262 () (or @t198 @t199 @t259)) % 1.15/1.33 (define @t263 () (or @t237 @t116 @t198 @t110 @t199 @t236 @t258)) % 1.15/1.33 (define @t264 () (or @t116 @t198 @t110 @t199 @t236 @t258)) % 1.15/1.33 (define @t265 () (or @t199 @t236 @t258)) % 1.15/1.33 (define @t266 () (or @t199 @t236 @t256)) % 1.15/1.33 (define @t267 () (or @t199 @t236 @t255 @t254 @t252)) % 1.15/1.33 (define @t268 () (not (= @t1 @t1))) % 1.15/1.33 (define @t269 () (or @t199 @t268 @t236 @t255 @t254 @t252)) % 1.15/1.33 (define @t270 () (not (= @t10 @t253))) % 1.15/1.33 (define @t271 () (and (not (= @t10 tptp.nil)) @t235)) % 1.15/1.33 (define @t272 () (not @t13)) % 1.15/1.33 (define @t273 () (or @t117 @t272 @t117 @t271 @t255 @t270 @t252)) % 1.15/1.33 (define @t274 () (or @t272 @t117 @t271 @t255 @t270 @t252)) % 1.15/1.33 (define @t275 () (forall @t14 @t274)) % 1.15/1.33 (define @t276 () (forall @t257 @t275)) % 1.15/1.33 (define @t277 () (forall (@list @t249 @t10) @t274)) % 1.15/1.33 (define @t278 () (@list @t10 @t249)) % 1.15/1.33 (define @t279 () (not (= @t249 @t132))) % 1.15/1.33 (define @t280 () (or @t138 @t137 @t232 @t133 @t279)) % 1.15/1.33 (define @t281 () (forall @t139 @t280)) % 1.15/1.33 (define @t282 () (not @t281)) % 1.15/1.33 (define @t283 () (or @t272 @t117 @t271 @t255 @t270 @t282)) % 1.15/1.33 (define @t284 () (or @t255 @t270 @t282)) % 1.15/1.33 (define @t285 () (or @t272 @t117 @t271 @t284)) % 1.15/1.33 (define @t286 () (forall @t278 @t285)) % 1.15/1.33 (define @t287 () (forall @t257 @t285)) % 1.15/1.33 (define @t288 () (forall @t257 @t284)) % 1.15/1.33 (define @t289 () (or @t272 @t117 @t271 @t288)) % 1.15/1.33 (define @t290 () (not (= @t28 @t132))) % 1.15/1.33 (define @t291 () (or @t138 @t137 @t232 @t133 @t290)) % 1.15/1.33 (define @t292 () (not (forall @t139 @t291))) % 1.15/1.33 (define @t293 () (not (= @t10 @t111))) % 1.15/1.33 (define @t294 () (not @t32)) % 1.15/1.33 (define @t295 () (or @t294 @t293 @t292)) % 1.15/1.33 (define @t296 () (forall @t33 @t295)) % 1.15/1.33 (define @t297 () (or @t272 @t117 @t271 @t296)) % 1.15/1.33 (define @t298 () (forall @t14 @t297)) % 1.15/1.33 (define @t299 () (or @t116 @t198 @t110 @t298)) % 1.15/1.33 (define @t300 () (or @t116 @t198 @t110 @t297)) % 1.15/1.33 (define @t301 () (or @t272 @t117 @t116 @t271 @t198 @t110 @t296)) % 1.15/1.33 (define @t302 () (or @t117 @t116 @t271 @t198 @t110 @t296)) % 1.15/1.33 (define @t303 () (or @t110 @t296)) % 1.15/1.33 (define @t304 () (forall @t86 (not @t85))) % 1.15/1.33 (define @t305 () (not @t304)) % 1.15/1.33 (define @t306 () (or @t110 @t295)) % 1.15/1.33 (define @t307 () (or @t294 @t293 @t110 @t292)) % 1.15/1.33 (define @t308 () (or @t293 @t110 @t292)) % 1.15/1.33 (define @t309 () (or @t133 @t290)) % 1.15/1.33 (define @t310 () (or @t137 @t232)) % 1.15/1.33 (define @t311 () (or @t138 @t310 @t309)) % 1.15/1.33 (define @t312 () (forall @t139 @t311)) % 1.15/1.33 (define @t313 () (forall (@list @t134 @t131) @t311)) % 1.15/1.33 (define @t314 () (forall (@list @t131) @t309)) % 1.15/1.33 (define @t315 () (forall (@list @t134) @t310)) % 1.15/1.33 (define @t316 () (or @t138 @t315 @t314)) % 1.15/1.33 (define @t317 () (= @t28 @t102)) % 1.15/1.33 (define @t318 () (not @t317)) % 1.15/1.33 (define @t319 () (not @t103)) % 1.15/1.33 (define @t320 () (or @t319 @t318)) % 1.15/1.33 (define @t321 () (forall @t105 @t320)) % 1.15/1.33 (define @t322 () (= @t12 @t96)) % 1.15/1.33 (define @t323 () (forall @t99 (or (not @t97) (not @t322)))) % 1.15/1.33 (define @t324 () (or @t138 @t323 @t321)) % 1.15/1.33 (define @t325 () (or @t323 @t321)) % 1.15/1.33 (define @t326 () (not @t325)) % 1.15/1.33 (define @t327 () (and @t107 @t326)) % 1.15/1.33 (define @t328 () (forall @t31 (not @t327))) % 1.15/1.33 (define @t329 () (not @t328)) % 1.15/1.33 (define @t330 () (or @t323 @t320)) % 1.15/1.33 (define @t331 () (or @t319 @t318 @t323)) % 1.15/1.33 (define @t332 () (not @t323)) % 1.15/1.33 (define @t333 () (not @t332)) % 1.15/1.33 (define @t334 () (or @t319 @t318 @t333)) % 1.15/1.33 (define @t335 () (and @t103 @t317 @t332)) % 1.15/1.33 (define @t336 () (forall @t105 (not @t335))) % 1.15/1.33 (define @t337 () (not @t336)) % 1.15/1.33 (define @t338 () (and @t97 @t322)) % 1.15/1.33 (define @t339 () (forall @t99 (not @t338))) % 1.15/1.33 (define @t340 () (not @t339)) % 1.15/1.33 (define @t341 () (@quantifiers_skolemize @t154 1)) % 1.15/1.33 (define @t342 () (not (= @t132 @t341))) % 1.15/1.33 (define @t343 () (tptp.ssList @t341)) % 1.15/1.33 (define @t344 () (not @t343)) % 1.15/1.33 (define @t345 () (tptp.app @t155 @t341)) % 1.15/1.33 (define @t346 () (= tptp.nil @t345)) % 1.15/1.33 (define @t347 () (not @t346)) % 1.15/1.33 (define @t348 () (and @t347 @t163)) % 1.15/1.33 (define @t349 () (forall @t86 (or @t147 @t146 (not (tptp.frontsegP @t345 @t80)) (not (tptp.frontsegP @t155 @t80))))) % 1.15/1.33 (define @t350 () (not @t349)) % 1.15/1.33 (define @t351 () (tptp.neq @t345 tptp.nil)) % 1.15/1.33 (define @t352 () (not @t351)) % 1.15/1.33 (define @t353 () (or @t352 @t350)) % 1.15/1.33 (define @t354 () (or @t347 @t163)) % 1.15/1.33 (define @t355 () (and @t354 @t353)) % 1.15/1.33 (define @t356 () (tptp.ssList @t345)) % 1.15/1.33 (define @t357 () (not @t356)) % 1.15/1.33 (define @t358 () (not (tptp.equalelemsP @t155))) % 1.15/1.33 (define @t359 () (or @t159 @t358 @t357 @t355 @t348 @t344 (not (forall @t139 (or @t138 @t137 (not (= @t135 @t155)) @t133 @t342))))) % 1.15/1.33 (define @t360 () (not @t359)) % 1.15/1.33 (define @t361 () (not @t154)) % 1.15/1.33 (define @t362 () (not (= @t155 @t135))) % 1.15/1.33 (define @t363 () (or @t138 @t137 @t362 @t133 @t342)) % 1.15/1.33 (define @t364 () (forall @t139 @t363)) % 1.15/1.33 (define @t365 () (not @t364)) % 1.15/1.33 (define @t366 () (and @t347 @t157)) % 1.15/1.33 (define @t367 () (or @t347 @t157)) % 1.15/1.33 (define @t368 () (and @t367 @t353)) % 1.15/1.33 (define @t369 () (or @t159 @t358 @t357 @t368 @t366 @t344 @t365)) % 1.15/1.33 (define @t370 () (not @t369)) % 1.15/1.33 (define @t371 () (@list true)) % 1.15/1.33 (define @t372 () (@list @t359)) % 1.15/1.33 (define @t373 () (@list false false)) % 1.15/1.33 (define @t374 () (@var "BOUND_VARIABLE_9857" $$unsorted)) % 1.15/1.33 (define @t375 () (@var "BOUND_VARIABLE_9859" $$unsorted)) % 1.15/1.33 (define @t376 () (tptp.frontsegP (tptp.app @t2 @t375) @t374)) % 1.15/1.33 (define @t377 () (not (tptp.ssList @t375))) % 1.15/1.33 (define @t378 () (not (tptp.frontsegP @t2 @t374))) % 1.15/1.33 (define @t379 () (not (tptp.ssList @t374))) % 1.15/1.33 (define @t380 () (or @t379 @t378 @t377 @t376)) % 1.15/1.33 (define @t381 () (or @t151 @t380)) % 1.15/1.33 (define @t382 () (forall (@list @t2 @t374 @t375) @t381)) % 1.15/1.33 (define @t383 () (@list @t374 @t375)) % 1.15/1.33 (define @t384 () (forall @t383 @t381)) % 1.15/1.33 (define @t385 () (forall @t383 @t380)) % 1.15/1.33 (define @t386 () (@var "BOUND_VARIABLE_9841" $$unsorted)) % 1.15/1.33 (define @t387 () (or @t151 @t385)) % 1.15/1.33 (define @t388 () (tptp.frontsegP (tptp.app @t2 @t386) @t1)) % 1.15/1.33 (define @t389 () (not (tptp.ssList @t386))) % 1.15/1.33 (define @t390 () (not @t20)) % 1.15/1.33 (define @t391 () (or @t199 @t390 @t389 @t388)) % 1.15/1.33 (define @t392 () (@list @t1 @t386)) % 1.15/1.33 (define @t393 () (forall @t392 @t391)) % 1.15/1.33 (define @t394 () (or @t389 @t388)) % 1.15/1.33 (define @t395 () (or @t199 @t390 @t394)) % 1.15/1.33 (define @t396 () (forall @t392 @t395)) % 1.15/1.33 (define @t397 () (@list @t386)) % 1.15/1.33 (define @t398 () (forall @t397 @t395)) % 1.15/1.33 (define @t399 () (forall @t397 @t394)) % 1.15/1.33 (define @t400 () (or @t199 @t390 @t399)) % 1.15/1.33 (define @t401 () (or @t237 @t61)) % 1.15/1.33 (define @t402 () (forall @t16 @t401)) % 1.15/1.33 (define @t403 () (or @t199 @t390 @t402)) % 1.15/1.33 (define @t404 () (or @t390 @t402)) % 1.15/1.33 (define @t405 () (or @t390 @t401)) % 1.15/1.33 (define @t406 () (or @t237 @t390 @t61)) % 1.15/1.33 (define @t407 () (tptp.frontsegP @t155 @t155)) % 1.15/1.33 (define @t408 () (or @t159 @t407)) % 1.15/1.33 (define @t409 () (tptp.frontsegP @t345 @t155)) % 1.15/1.33 (define @t410 () (not @t407)) % 1.15/1.33 (define @t411 () (or @t159 @t159 @t410 @t344 @t409)) % 1.15/1.33 (define @t412 () (@list false false false false)) % 1.15/1.33 (define @t413 () (not @t347)) % 1.15/1.33 (define @t414 () (not @t163)) % 1.15/1.33 (define @t415 () (@var "BOUND_VARIABLE_9130" $$unsorted)) % 1.15/1.33 (define @t416 () (= (tptp.neq @t2 @t415) (not (= @t2 @t415)))) % 1.15/1.33 (define @t417 () (not (tptp.ssList @t415))) % 1.15/1.33 (define @t418 () (or @t151 @t417 @t416)) % 1.15/1.33 (define @t419 () (or @t417 @t416)) % 1.15/1.33 (define @t420 () (or @t151 @t419)) % 1.15/1.33 (define @t421 () (@list @t2 @t415)) % 1.15/1.33 (define @t422 () (forall @t421 @t420)) % 1.15/1.33 (define @t423 () (@list @t415)) % 1.15/1.33 (define @t424 () (forall @t423 @t420)) % 1.15/1.33 (define @t425 () (forall @t423 @t419)) % 1.15/1.33 (define @t426 () (or @t151 @t425)) % 1.15/1.33 (define @t427 () (forall @t7 (or @t199 @t5))) % 1.15/1.33 (define @t428 () (tptp.neq @t155 tptp.nil)) % 1.15/1.33 (define @t429 () (not @t157)) % 1.15/1.33 (define @t430 () (= @t428 @t429)) % 1.15/1.33 (define @t431 () (not @t42)) % 1.15/1.33 (define @t432 () (or @t159 @t431 @t430)) % 1.15/1.33 (define @t433 () (forall @t421 @t418)) % 1.15/1.33 (define @t434 () (= @t414 @t428)) % 1.15/1.33 (define @t435 () (or @t159 @t431 @t434)) % 1.15/1.33 (define @t436 () (not @t434)) % 1.15/1.33 (define @t437 () (not @t409)) % 1.15/1.33 (define @t438 () (not @t428)) % 1.15/1.33 (define @t439 () (or @t159 @t438 @t437 @t410)) % 1.15/1.33 (define @t440 () (and @t346 @t409)) % 1.15/1.33 (define @t441 () (@list true false)) % 1.15/1.33 (define @t442 () (@list @t353)) % 1.15/1.33 (define @t443 () (tptp.frontsegP @t155 tptp.nil)) % 1.15/1.33 (define @t444 () (or @t159 @t443)) % 1.15/1.33 (define @t445 () (tptp.frontsegP @t155 @t345)) % 1.15/1.33 (define @t446 () (and @t346 @t443)) % 1.15/1.33 (define @t447 () (@list @t345)) % 1.15/1.33 (define @t448 () (tptp.frontsegP @t345 @t345)) % 1.15/1.33 (define @t449 () (or @t357 @t448)) % 1.15/1.33 (define @t450 () (not @t445)) % 1.15/1.33 (define @t451 () (not @t448)) % 1.15/1.33 (define @t452 () (or @t357 @t352 @t451 @t450)) % 1.15/1.33 (define @t453 () (not @t452)) % 1.15/1.33 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.15/1.33 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.15/1.33 (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))))))))))) % 1.15/1.33 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.15/1.33 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.15/1.33 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.15/1.33 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 1.15/1.33 (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))))))))))))))))) % 1.15/1.33 (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)))))))))))))))) % 1.15/1.33 (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))))))))))))))))) % 1.15/1.33 (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))))))))))))))) % 1.15/1.33 (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))))))))))))))) % 1.15/1.33 (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)))))))))))))))) % 1.15/1.33 (assume @p14 (forall @t9 (=> @t17 (= @t37 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 1.15/1.33 (assume @p15 @t40) % 1.15/1.33 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 1.15/1.33 (assume @p17 @t42) % 1.15/1.33 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 1.15/1.33 (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))))))))))) % 1.15/1.33 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 1.15/1.33 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 1.15/1.33 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 1.15/1.33 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 1.15/1.33 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 1.15/1.33 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 1.15/1.33 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 1.15/1.33 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 1.15/1.33 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.15/1.33 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 1.15/1.33 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 1.15/1.33 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.15/1.33 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 1.15/1.33 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 1.15/1.33 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 1.15/1.33 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 1.15/1.33 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 1.15/1.33 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 1.15/1.33 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.15/1.33 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.15/1.33 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.15/1.33 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.15/1.33 (assume @p42 @t60) % 1.15/1.33 (assume @p43 @t67) % 1.15/1.33 (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)))))))))))) % 1.15/1.33 (assume @p45 @t69) % 1.15/1.33 (assume @p46 @t72) % 1.15/1.33 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.15/1.33 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.15/1.33 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.15/1.33 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t73 @t1))))))))) % 1.15/1.33 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.15/1.33 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 1.15/1.33 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.15/1.33 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 1.15/1.33 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 1.15/1.33 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t73 @t10) @t1))))))))))) % 1.15/1.33 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.15/1.33 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 1.15/1.33 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t74)))) % 1.15/1.33 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.15/1.33 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t74)))) % 1.15/1.33 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.15/1.33 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t74)))) % 1.15/1.33 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.15/1.33 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t74)))) % 1.15/1.33 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.15/1.33 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t78) (or @t76 (and @t77 (tptp.totalorderedP @t1) (tptp.leq @t2 @t75))))))))) % 1.15/1.33 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t74)))) % 1.15/1.33 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.15/1.33 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t78) (or @t76 (and @t77 (tptp.strictorderedP @t1) (tptp.lt @t2 @t75))))))))) % 1.15/1.33 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t74)))) % 1.15/1.33 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.15/1.33 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t74)))) % 1.15/1.33 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.15/1.33 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 1.15/1.33 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 1.15/1.33 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t77 @t47 (= @t75 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 1.15/1.33 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 1.15/1.33 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t79)))))))) % 1.15/1.33 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t79)))))))) % 1.15/1.33 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 1.15/1.33 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 1.15/1.33 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) (and @t76 @t45))))))) % 1.15/1.33 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.15/1.33 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 1.15/1.33 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 1.15/1.33 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 1.15/1.33 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.15/1.33 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.15/1.33 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.15/1.33 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56)))))))) % 1.15/1.33 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 1.15/1.33 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 1.15/1.33 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 1.15/1.33 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.15/1.33 (assume @p96 @t127) % 1.15/1.33 (assume @p97 true) % 1.15/1.33 (step @p98 :rule bool-impl-elim :args (@t17 @t129)) % 1.15/1.33 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t129)))) % 1.15/1.33 (step @p100 :rule eq-symm :args (@t128 @t70)) % 1.15/1.33 (step @p101 :rule refl :args (@t70)) % 1.15/1.33 (step @p102 :rule eq-symm :args (tptp.nil @t2)) % 1.15/1.33 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t45 @t70))) % 1.15/1.33 (step @p104 :rule trans :premises (@p103 @p100)) % 1.15/1.33 (step @p105 :rule eq-symm :args (@t70 @t45)) % 1.15/1.33 (step @p106 :rule trans :premises (@p105 @p104)) % 1.15/1.33 (step @p107 :rule refl :args (@t17)) % 1.15/1.33 (step @p108 :rule cong :premises (@p107 @p106) :args (@t71)) % 1.15/1.33 (step @p109 :rule cong :premises (@p108) :args (@t72)) % 1.15/1.33 (step @p110 :rule trans :premises (@p109 @p99)) % 1.15/1.33 (step @p111 :rule eq_resolve :premises (@p46 @p110)) % 1.15/1.33 (step @p112 :rule refl :args (@t156)) % 1.15/1.33 (step @p113 :rule eq-symm :args (@t155 tptp.nil)) % 1.15/1.33 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t157 @t156))) % 1.15/1.33 (step @p115 :rule eq-symm :args (@t156 @t157)) % 1.15/1.33 (step @p116 :rule trans :premises (@p115 @p114)) % 1.15/1.33 (step @p117 :rule refl :args (@t159)) % 1.15/1.33 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t160)) % 1.15/1.33 (step @p119 :rule refl :args (@t161)) % 1.15/1.33 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t161 @t160))) % 1.15/1.33 (assume-push @p732 @t161) % 1.15/1.33 (step @p122 :rule instantiate :premises (@p111) :args (@t162)) % 1.15/1.33 (step-pop @p733 :rule scope :premises (@p122)) % 1.15/1.33 (step @p123 :rule process_scope :premises (@p733) :args (@t160)) % 1.15/1.33 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 1.15/1.33 (step @p126 :rule implies_elim :premises (@p125)) % 1.15/1.33 (step @p127 :rule chain_m_resolution :premises (@p126 @p111) :args (@t165 @t166 (@list @t161))) % 1.15/1.33 (step @p128 :rule aci_norm :args ((= @t168 @t152))) % 1.15/1.33 (step @p129 :rule cong :premises (@p128) :args (@t169)) % 1.15/1.33 (step @p130 :rule quant-merge-prenex :args ((= (forall @t9 @t171) @t169))) % 1.15/1.33 (step @p131 :rule alpha_equiv :args (@t172 (@list @t130) @t174)) % 1.15/1.33 (step @p132 :rule refl :args (@t150)) % 1.15/1.33 (step @p133 :rule refl :args (@t151)) % 1.15/1.33 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131) :args (@t175)) % 1.15/1.33 (step @p135 :rule quant-miniscope-or :args ((= @t171 @t175))) % 1.15/1.33 (step @p136 :rule trans :premises (@p135 @p134)) % 1.15/1.33 (step @p137 :rule symm :premises (@p136)) % 1.15/1.33 (step @p138 :rule cong :premises (@p137) :args ((forall @t9 @t186))) % 1.15/1.33 (step @p139 :rule trans :premises (@p138 @p130)) % 1.15/1.33 (step @p140 :rule trans :premises (@p139 @p129)) % 1.15/1.33 (step @p141 :rule aci_norm :args ((= (or @t151 @t186) @t186))) % 1.15/1.33 (step @p142 :rule bool-impl-elim :args (@t17 @t186)) % 1.15/1.33 (step @p143 :rule trans :premises (@p142 @p141)) % 1.15/1.33 (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t17 @t186)))) % 1.15/1.33 (step @p145 :rule trans :premises (@p144 @p140)) % 1.15/1.33 (step @p146 :rule aci_norm :args ((= (or @t183 @t182 @t180 @t177 false @t176) @t184))) % 1.15/1.33 (step @p147 :rule refl :args (@t176)) % 1.15/1.33 (step @p148 :rule evaluate :args ((not true))) % 1.15/1.33 (step @p149 :rule eq-refl :args (@t178)) % 1.15/1.33 (step @p150 :rule cong :premises (@p149) :args (@t187)) % 1.15/1.33 (step @p151 :rule trans :premises (@p150 @p148)) % 1.15/1.33 (step @p152 :rule refl :args (@t177)) % 1.15/1.33 (step @p153 :rule refl :args (@t128)) % 1.15/1.33 (step @p154 :rule eq-symm :args (@t178 tptp.nil)) % 1.15/1.33 (step @p155 :rule cong :premises (@p154) :args (@t188)) % 1.15/1.33 (step @p156 :rule nary_cong :premises (@p155 @p153) :args (@t189)) % 1.15/1.33 (step @p157 :rule refl :args (@t181)) % 1.15/1.33 (step @p158 :rule nary_cong :premises (@p155 @p153) :args (@t190)) % 1.15/1.33 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t191)) % 1.15/1.33 (step @p160 :rule refl :args (@t183)) % 1.15/1.33 (step @p161 :rule nary_cong :premises (@p160 @p159 @p156 @p152 @p151 @p147) :args (@t192)) % 1.15/1.33 (step @p162 :rule trans :premises (@p161 @p146)) % 1.15/1.33 (step @p163 :rule cong :premises (@p162) :args ((forall @t185 @t192))) % 1.15/1.33 (step @p164 :rule quant-var-elim-eq :args ((= (forall @t7 @t200) @t192))) % 1.15/1.33 (step @p165 :rule aci_norm :args ((= @t201 @t200))) % 1.15/1.33 (step @p166 :rule cong :premises (@p165) :args (@t202)) % 1.15/1.33 (step @p167 :rule trans :premises (@p166 @p164)) % 1.15/1.33 (step @p168 :rule cong :premises (@p167) :args (@t203)) % 1.15/1.33 (step @p169 :rule quant-merge-prenex :args ((= @t203 @t204))) % 1.15/1.33 (step @p170 :rule symm :premises (@p169)) % 1.15/1.33 (step @p171 :rule quant_var_reordering :args ((= (forall @t205 @t201) @t204))) % 1.15/1.33 (step @p172 :rule trans :premises (@p171 @p170 @p168)) % 1.15/1.33 (step @p173 :rule trans :premises (@p172 @p163)) % 1.15/1.33 (step @p174 :rule aci_norm :args ((= @t207 @t201))) % 1.15/1.33 (step @p175 :rule cong :premises (@p174) :args (@t208)) % 1.15/1.33 (step @p176 :rule trans :premises (@p175 @p173)) % 1.15/1.33 (step @p177 :rule quant-merge-prenex :args ((= (forall @t7 @t209) @t208))) % 1.15/1.33 (step @p178 :rule alpha_equiv :args (@t210 @t174 @t212)) % 1.15/1.33 (step @p179 :rule refl :args (@t195)) % 1.15/1.33 (step @p180 :rule refl :args (@t198)) % 1.15/1.33 (step @p181 :rule refl :args (@t199)) % 1.15/1.33 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179 @p178) :args (@t213)) % 1.15/1.33 (step @p183 :rule quant-miniscope-or :args ((= @t209 @t213))) % 1.15/1.33 (step @p184 :rule trans :premises (@p183 @p182)) % 1.15/1.33 (step @p185 :rule symm :premises (@p184)) % 1.15/1.33 (step @p186 :rule cong :premises (@p185) :args (@t222)) % 1.15/1.33 (step @p187 :rule trans :premises (@p186 @p177)) % 1.15/1.33 (step @p188 :rule trans :premises (@p187 @p176)) % 1.15/1.33 (step @p189 :rule refl :args (@t150)) % 1.15/1.33 (step @p190 :rule refl :args (@t151)) % 1.15/1.33 (step @p191 :rule nary_cong :premises (@p190 @p189 @p188) :args (@t223)) % 1.15/1.33 (step @p192 :rule quant-miniscope-or :args ((= (forall @t7 @t224) @t223))) % 1.15/1.33 (step @p193 :rule aci_norm :args ((= @t225 @t224))) % 1.15/1.33 (step @p194 :rule cong :premises (@p193) :args ((forall @t7 @t225))) % 1.15/1.33 (step @p195 :rule trans :premises (@p194 @p192)) % 1.15/1.33 (step @p196 :rule trans :premises (@p195 @p191)) % 1.15/1.33 (step @p197 :rule aci_norm :args ((= (or @t199 @t226) @t225))) % 1.15/1.33 (step @p198 :rule bool-impl-elim :args (@t21 @t226)) % 1.15/1.33 (step @p199 :rule trans :premises (@p198 @p197)) % 1.15/1.33 (step @p200 :rule cong :premises (@p199) :args ((forall @t7 (=> @t21 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@p627) :args (@t434 (@list false false false) (@list @t42 @t158 @t435))) % 1.15/1.33 (step @p631 :rule bool-double-not-elim :args (@t163)) % 1.15/1.33 (step @p632 :rule refl :args (@t436)) % 1.15/1.33 (step @p633 :rule nary_cong :premises (@p632 @p631 @p614) :args ((or @t436 (not @t414) @t428))) % 1.15/1.33 (step @p634 :rule cnf_equiv_pos1 :args (@t434)) % 1.15/1.33 (step @p635 :rule eq_resolve :premises (@p634 @p633)) % 1.15/1.33 (step @p636 :rule reordering :premises (@p635) :args ((or @t163 @t428 @t436))) % 1.15/1.33 (step @p637 :rule bool-double-not-elim :args (@t349)) % 1.15/1.33 (step @p638 :rule nary_cong :premises (@p480 @p637) :args ((or @t353 (not @t350)))) % 1.15/1.33 (step @p639 :rule cnf_or_neg :args (@t353 1)) % 1.15/1.33 (step @p640 :rule eq_resolve :premises (@p639 @p638)) % 1.15/1.33 (step @p641 :rule reordering :premises (@p640) :args ((or @t349 @t353))) % 1.15/1.33 (step @p642 :rule cnf_or_pos :args (@t439)) % 1.15/1.33 (step @p643 :rule reordering :premises (@p642) :args ((or @t159 @t410 @t438 @t437 (not @t439)))) % 1.15/1.33 (assume-push @p738 @t349) % 1.15/1.33 (step @p645 :rule instantiate :premises (@p738) :args (@t162)) % 1.15/1.33 (step-pop @p739 :rule scope :premises (@p645)) % 1.15/1.33 (step @p646 :rule process_scope :premises (@p739) :args (@t439)) % 1.15/1.33 (step @p648 :rule implies_elim :premises (@p646)) % 1.15/1.33 (step @p649 :rule chain_m_resolution :premises (@p648 @p643 @p564 @p574 @p503 @p641 @p636 @p630 @p591 @p590 @p588 @p582 @p580) :args (@t346 (@list true false false false false false false true true true true false) (@list @t439 @t407 @t409 @t158 @t349 @t428 @t434 @t353 @t355 @t163 @t348 @t354))) % 1.15/1.33 (assume-push @p740 @t346) % 1.15/1.33 (assume-push @p741 @t409) % 1.15/1.33 (assume-push @p742 @t409) % 1.15/1.33 (assume-push @p743 @t346) % 1.15/1.33 (step @p654 :rule true_intro :premises (@p574)) % 1.15/1.33 (step @p655 :rule refl :args (@t155)) % 1.15/1.33 (step @p656 :rule cong :premises (@p740 @p655) :args (@t156)) % 1.15/1.33 (step @p657 :rule trans :premises (@p656 @p654)) % 1.15/1.33 (step @p658 :rule true_elim :premises (@p657)) % 1.15/1.33 (step-pop @p744 :rule scope :premises (@p658)) % 1.15/1.33 (step-pop @p745 :rule scope :premises (@p744)) % 1.15/1.33 (step @p659 :rule process_scope :premises (@p745) :args (@t156)) % 1.15/1.33 (step @p662 :rule and_intro :premises (@p574 @p740)) % 1.15/1.33 (step @p663 :rule modus_ponens :premises (@p662 @p659)) % 1.15/1.33 (step-pop @p746 :rule scope :premises (@p663)) % 1.15/1.33 (step-pop @p747 :rule scope :premises (@p746)) % 1.15/1.33 (step @p664 :rule process_scope :premises (@p747) :args (@t156)) % 1.15/1.33 (step @p667 :rule implies_elim :premises (@p664)) % 1.15/1.33 (step @p668 :rule cnf_and_neg :args (@t440)) % 1.15/1.33 (step @p669 :rule resolution :premises (@p668 @p667) :args (true @t440)) % 1.15/1.33 (step @p670 :rule reordering :premises (@p669) :args ((or @t347 @t156 @t437))) % 1.15/1.33 (step @p671 :rule chain_m_resolution :premises (@p670 @p649 @p574) :args (@t156 @t373 (@list @t346 @t409))) % 1.15/1.33 (step @p672 :rule cnf_equiv_pos2 :args (@t164)) % 1.15/1.33 (step @p673 :rule reordering :premises (@p672) :args ((or @t163 (not @t156) (not @t164)))) % 1.15/1.33 (step @p674 :rule chain_m_resolution :premises (@p673 @p671 @p506) :args (@t163 @t373 (@list @t156 @t164))) % 1.15/1.33 (step @p675 :rule cnf_or_neg :args (@t354 1)) % 1.15/1.33 (step @p676 :rule chain_m_resolution :premises (@p675 @p674) :args (@t354 @t166 (@list @t163))) % 1.15/1.33 (step @p677 :rule chain_m_resolution :premises (@p591 @p590 @p676) :args ((not @t353) @t441 (@list @t355 @t354))) % 1.15/1.33 (step @p678 :rule chain_m_resolution :premises (@p641 @p677) :args (@t349 @t371 @t442)) % 1.15/1.33 (step @p679 :rule bool-impl-elim :args (@t17 @t68)) % 1.15/1.33 (step @p680 :rule cong :premises (@p679) :args (@t69)) % 1.15/1.33 (step @p681 :rule eq_resolve :premises (@p45 @p680)) % 1.15/1.33 (step @p682 :rule instantiate :premises (@p681) :args (@t162)) % 1.15/1.33 (step @p683 :rule cnf_or_pos :args (@t444)) % 1.15/1.33 (step @p684 :rule reordering :premises (@p683) :args ((or @t159 @t443 (not @t444)))) % 1.15/1.33 (step @p685 :rule chain_m_resolution :premises (@p684 @p503 @p682) :args (@t443 @t373 (@list @t158 @t444))) % 1.15/1.33 (assume-push @p748 @t346) % 1.15/1.33 (assume-push @p749 @t443) % 1.15/1.33 (assume-push @p750 @t443) % 1.15/1.33 (assume-push @p751 @t346) % 1.15/1.33 (step @p690 :rule true_intro :premises (@p685)) % 1.15/1.33 (step @p691 :rule symm :premises (@p748)) % 1.15/1.33 (step @p655 :rule refl :args (@t155)) % 1.15/1.33 (step @p692 :rule cong :premises (@p655 @p691) :args (@t445)) % 1.15/1.33 (step @p693 :rule trans :premises (@p692 @p690)) % 1.15/1.33 (step @p694 :rule true_elim :premises (@p693)) % 1.15/1.33 (step-pop @p752 :rule scope :premises (@p694)) % 1.15/1.33 (step-pop @p753 :rule scope :premises (@p752)) % 1.15/1.33 (step @p695 :rule process_scope :premises (@p753) :args (@t445)) % 1.15/1.33 (step @p698 :rule and_intro :premises (@p685 @p748)) % 1.15/1.33 (step @p699 :rule modus_ponens :premises (@p698 @p695)) % 1.15/1.33 (step-pop @p754 :rule scope :premises (@p699)) % 1.15/1.33 (step-pop @p755 :rule scope :premises (@p754)) % 1.15/1.33 (step @p700 :rule process_scope :premises (@p755) :args (@t445)) % 1.15/1.33 (step @p703 :rule implies_elim :premises (@p700)) % 1.15/1.33 (step @p704 :rule cnf_and_neg :args (@t446)) % 1.15/1.33 (step @p705 :rule resolution :premises (@p704 @p703) :args (true @t446)) % 1.15/1.33 (step @p706 :rule chain_m_resolution :premises (@p705 @p649 @p685) :args (@t445 @t373 (@list @t346 @t443))) % 1.15/1.33 (step @p707 :rule instantiate :premises (@p560) :args (@t447)) % 1.15/1.33 (step @p708 :rule bool-double-not-elim :args (@t356)) % 1.15/1.33 (step @p709 :rule nary_cong :premises (@p498 @p708) :args ((or @t359 (not @t357)))) % 1.15/1.33 (step @p710 :rule cnf_or_neg :args (@t359 2)) % 1.15/1.33 (step @p711 :rule eq_resolve :premises (@p710 @p709)) % 1.15/1.33 (step @p712 :rule reordering :premises (@p711) :args ((or @t356 @t359))) % 1.15/1.33 (step @p713 :rule chain_m_resolution :premises (@p712 @p496) :args (@t356 @t371 @t372)) % 1.15/1.33 (step @p714 :rule cnf_or_pos :args (@t449)) % 1.15/1.33 (step @p715 :rule reordering :premises (@p714) :args ((or @t357 @t448 (not @t449)))) % 1.15/1.33 (step @p716 :rule chain_m_resolution :premises (@p715 @p713 @p707) :args (@t448 @t373 (@list @t356 @t449))) % 1.15/1.33 (step @p717 :rule bool-double-not-elim :args (@t351)) % 1.15/1.33 (step @p718 :rule nary_cong :premises (@p480 @p717) :args ((or @t353 (not @t352)))) % 1.15/1.33 (step @p719 :rule cnf_or_neg :args (@t353 0)) % 1.15/1.33 (step @p720 :rule eq_resolve :premises (@p719 @p718)) % 1.15/1.33 (step @p721 :rule reordering :premises (@p720) :args ((or @t351 @t353))) % 1.15/1.33 (step @p722 :rule chain_m_resolution :premises (@p721 @p677) :args (@t351 @t371 @t442)) % 1.15/1.33 (step @p723 :rule cnf_or_pos :args (@t452)) % 1.15/1.33 (step @p724 :rule reordering :premises (@p723) :args ((or @t357 @t352 @t451 @t450 @t453))) % 1.15/1.33 (step @p725 :rule chain_m_resolution :premises (@p724 @p713 @p722 @p716 @p706) :args (@t453 @t412 (@list @t356 @t351 @t448 @t445))) % 1.15/1.33 (assume-push @p756 @t349) % 1.15/1.33 (step @p727 :rule instantiate :premises (@p756) :args (@t447)) % 1.15/1.33 (step-pop @p757 :rule scope :premises (@p727)) % 1.15/1.33 (step @p728 :rule process_scope :premises (@p757) :args (@t452)) % 1.15/1.33 (step @p730 :rule implies_elim :premises (@p728)) % 1.15/1.33 (step @p731 false :rule chain_m_resolution :premises (@p730 @p725 @p678) :args (false @t441 (@list @t452 @t349))) % 1.15/1.33 ) % 1.15/1.33 % SZS output end Proof % 1.15/1.33 % cvc5 exiting %------------------------------------------------------------------------------