%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC113+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 : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:06 AM UTC 2026 % Result : Theorem 64.08s 65.01s % Output : Proof 64.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC113+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 : n001.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 19:16:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 64.08/65.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.08/65.01 --- Run --no-e-matching --full-saturate-quant at 6... % 64.08/65.01 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.08/65.01 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.08/65.01 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.08/65.01 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.08/65.01 % SZS status Theorem % 64.08/65.01 % SZS output start Proof % 64.08/65.01 ( % 64.08/65.01 (declare-sort $$unsorted 0) % 64.08/65.01 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 64.08/65.01 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 64.08/65.01 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 64.08/65.01 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 64.08/65.01 (declare-const tptp.nil $$unsorted) % 64.08/65.01 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.ssList (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 64.08/65.01 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 64.08/65.01 (define @t1 () (@var "V" $$unsorted)) % 64.08/65.01 (define @t2 () (@var "U" $$unsorted)) % 64.08/65.01 (define @t3 () (= @t2 @t1)) % 64.08/65.01 (define @t4 () (not @t3)) % 64.08/65.01 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 64.08/65.01 (define @t6 () (tptp.ssItem @t1)) % 64.08/65.01 (define @t7 () (@list @t1)) % 64.08/65.01 (define @t8 () (tptp.ssItem @t2)) % 64.08/65.01 (define @t9 () (@list @t2)) % 64.08/65.01 (define @t10 () (@var "X" $$unsorted)) % 64.08/65.01 (define @t11 () (tptp.cons @t1 @t10)) % 64.08/65.01 (define @t12 () (@var "W" $$unsorted)) % 64.08/65.01 (define @t13 () (tptp.app @t12 @t11)) % 64.08/65.01 (define @t14 () (tptp.ssList @t10)) % 64.08/65.01 (define @t15 () (and @t14 (= @t13 @t2))) % 64.08/65.01 (define @t16 () (@list @t10)) % 64.08/65.01 (define @t17 () (exists @t16 @t15)) % 64.08/65.01 (define @t18 () (tptp.ssList @t12)) % 64.08/65.01 (define @t19 () (and @t18 @t17)) % 64.08/65.01 (define @t20 () (@list @t12)) % 64.08/65.01 (define @t21 () (exists @t20 @t19)) % 64.08/65.01 (define @t22 () (tptp.memberP @t2 @t1)) % 64.08/65.01 (define @t23 () (= @t22 @t21)) % 64.08/65.01 (define @t24 () (=> @t6 @t23)) % 64.08/65.01 (define @t25 () (forall @t7 @t24)) % 64.08/65.01 (define @t26 () (tptp.ssList @t2)) % 64.08/65.01 (define @t27 () (=> @t26 @t25)) % 64.08/65.01 (define @t28 () (forall @t9 @t27)) % 64.08/65.01 (define @t29 () (tptp.cons @t1 tptp.nil)) % 64.08/65.01 (define @t30 () (tptp.app @t1 @t12)) % 64.08/65.01 (define @t31 () (tptp.frontsegP @t2 @t1)) % 64.08/65.01 (define @t32 () (tptp.ssList @t1)) % 64.08/65.01 (define @t33 () (tptp.app @t12 @t1)) % 64.08/65.01 (define @t34 () (tptp.rearsegP @t2 @t1)) % 64.08/65.01 (define @t35 () (tptp.segmentP @t2 @t1)) % 64.08/65.01 (define @t36 () (tptp.leq @t12 @t1)) % 64.08/65.01 (define @t37 () (tptp.leq @t1 @t12)) % 64.08/65.01 (define @t38 () (@var "Z" $$unsorted)) % 64.08/65.01 (define @t39 () (@var "Y" $$unsorted)) % 64.08/65.01 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 64.08/65.01 (define @t41 () (tptp.ssList @t38)) % 64.08/65.01 (define @t42 () (@list @t38)) % 64.08/65.01 (define @t43 () (tptp.ssList @t39)) % 64.08/65.01 (define @t44 () (@list @t39)) % 64.08/65.01 (define @t45 () (tptp.ssItem @t12)) % 64.08/65.01 (define @t46 () (tptp.lt @t1 @t12)) % 64.08/65.01 (define @t47 () (= @t1 @t12)) % 64.08/65.01 (define @t48 () (forall @t7 (=> @t32 @t5))) % 64.08/65.01 (define @t49 () (=> @t26 @t48)) % 64.08/65.01 (define @t50 () (forall @t9 @t49)) % 64.08/65.01 (define @t51 () (tptp.cons @t1 @t2)) % 64.08/65.01 (define @t52 () (tptp.ssList @t51)) % 64.08/65.01 (define @t53 () (forall @t7 (=> @t6 @t52))) % 64.08/65.01 (define @t54 () (=> @t26 @t53)) % 64.08/65.01 (define @t55 () (forall @t9 @t54)) % 64.08/65.01 (define @t56 () (tptp.ssList tptp.nil)) % 64.08/65.01 (define @t57 () (not (= @t51 @t2))) % 64.08/65.01 (define @t58 () (=> @t6 @t57)) % 64.08/65.01 (define @t59 () (forall @t7 @t58)) % 64.08/65.01 (define @t60 () (=> @t26 @t59)) % 64.08/65.01 (define @t61 () (forall @t9 @t60)) % 64.08/65.01 (define @t62 () (= @t1 @t2)) % 64.08/65.01 (define @t63 () (tptp.cons @t12 @t1)) % 64.08/65.01 (define @t64 () (= tptp.nil @t2)) % 64.08/65.01 (define @t65 () (tptp.hd @t2)) % 64.08/65.01 (define @t66 () (not @t64)) % 64.08/65.01 (define @t67 () (tptp.tl @t2)) % 64.08/65.01 (define @t68 () (tptp.app @t2 @t1)) % 64.08/65.01 (define @t69 () (tptp.app @t1 @t2)) % 64.08/65.01 (define @t70 () (tptp.app tptp.nil @t2)) % 64.08/65.01 (define @t71 () (=> @t26 (= @t70 @t2))) % 64.08/65.01 (define @t72 () (forall @t9 @t71)) % 64.08/65.01 (define @t73 () (tptp.leq @t1 @t2)) % 64.08/65.01 (define @t74 () (tptp.leq @t2 @t1)) % 64.08/65.01 (define @t75 () (tptp.geq @t2 @t1)) % 64.08/65.01 (define @t76 () (tptp.lt @t1 @t2)) % 64.08/65.01 (define @t77 () (tptp.lt @t2 @t1)) % 64.08/65.01 (define @t78 () (tptp.lt @t2 @t12)) % 64.08/65.01 (define @t79 () (tptp.gt @t2 @t1)) % 64.08/65.01 (define @t80 () (tptp.memberP @t12 @t2)) % 64.08/65.01 (define @t81 () (not (tptp.memberP tptp.nil @t2))) % 64.08/65.01 (define @t82 () (forall @t9 (=> @t8 @t81))) % 64.08/65.01 (define @t83 () (tptp.app @t12 @t2)) % 64.08/65.01 (define @t84 () (tptp.segmentP @t1 @t2)) % 64.08/65.01 (define @t85 () (tptp.segmentP @t2 @t2)) % 64.08/65.01 (define @t86 () (forall @t9 (=> @t26 @t85))) % 64.08/65.01 (define @t87 () (tptp.segmentP (tptp.app @t83 @t10) @t1)) % 64.08/65.01 (define @t88 () (=> @t35 @t87)) % 64.08/65.01 (define @t89 () (forall @t16 (=> @t14 @t88))) % 64.08/65.01 (define @t90 () (=> @t18 @t89)) % 64.08/65.01 (define @t91 () (forall @t20 @t90)) % 64.08/65.01 (define @t92 () (=> @t32 @t91)) % 64.08/65.01 (define @t93 () (forall @t7 @t92)) % 64.08/65.01 (define @t94 () (=> @t26 @t93)) % 64.08/65.01 (define @t95 () (forall @t9 @t94)) % 64.08/65.01 (define @t96 () (tptp.cons @t2 tptp.nil)) % 64.08/65.01 (define @t97 () (tptp.hd @t1)) % 64.08/65.01 (define @t98 () (= tptp.nil @t1)) % 64.08/65.01 (define @t99 () (not @t98)) % 64.08/65.01 (define @t100 () (tptp.cons @t2 @t1)) % 64.08/65.01 (define @t101 () (= @t12 @t2)) % 64.08/65.01 (define @t102 () (= @t51 (tptp.app @t29 @t2))) % 64.08/65.01 (define @t103 () (forall @t7 (=> @t6 @t102))) % 64.08/65.01 (define @t104 () (=> @t26 @t103)) % 64.08/65.01 (define @t105 () (forall @t9 @t104)) % 64.08/65.01 (define @t106 () (tptp.app @t2 tptp.nil)) % 64.08/65.01 (define @t107 () (=> @t26 (= @t106 @t2))) % 64.08/65.01 (define @t108 () (forall @t9 @t107)) % 64.08/65.01 (define @t109 () (tptp.neq @t2 tptp.nil)) % 64.08/65.01 (define @t110 () (or (not (tptp.neq @t1 tptp.nil)) (and @t109 @t84))) % 64.08/65.01 (define @t111 () (or @t99 @t64)) % 64.08/65.01 (define @t112 () (and @t111 @t110)) % 64.08/65.01 (define @t113 () (not (= tptp.nil @t12))) % 64.08/65.01 (define @t114 () (not (= tptp.nil @t10))) % 64.08/65.01 (define @t115 () (or @t114 @t113)) % 64.08/65.01 (define @t116 () (not (tptp.memberP @t10 @t39))) % 64.08/65.01 (define @t117 () (tptp.cons @t39 tptp.nil)) % 64.08/65.01 (define @t118 () (not (= @t117 @t12))) % 64.08/65.01 (define @t119 () (not (tptp.ssItem @t39))) % 64.08/65.01 (define @t120 () (or @t119 @t118 @t116)) % 64.08/65.01 (define @t121 () (forall @t44 @t120)) % 64.08/65.01 (define @t122 () (and @t121 @t115)) % 64.08/65.01 (define @t123 () (not (= @t2 @t12))) % 64.08/65.01 (define @t124 () (not (= @t1 @t10))) % 64.08/65.01 (define @t125 () (not @t14)) % 64.08/65.01 (define @t126 () (or @t125 @t124 @t123 @t122 @t112)) % 64.08/65.01 (define @t127 () (forall @t16 @t126)) % 64.08/65.01 (define @t128 () (=> @t18 @t127)) % 64.08/65.01 (define @t129 () (forall @t20 @t128)) % 64.08/65.01 (define @t130 () (=> @t32 @t129)) % 64.08/65.01 (define @t131 () (forall @t7 @t130)) % 64.08/65.01 (define @t132 () (=> @t26 @t131)) % 64.08/65.01 (define @t133 () (forall @t9 @t132)) % 64.08/65.01 (define @t134 () (not @t133)) % 64.08/65.01 (define @t135 () (= @t2 tptp.nil)) % 64.08/65.01 (define @t136 () (not @t135)) % 64.08/65.01 (define @t137 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 64.08/65.01 (define @t138 () (not (= tptp.nil @t137))) % 64.08/65.01 (define @t139 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 64.08/65.01 (define @t140 () (or (not (tptp.ssItem @t139)) (not (= @t2 (tptp.cons @t139 tptp.nil))) (not (tptp.memberP @t137 @t139)))) % 64.08/65.01 (define @t141 () (or (not (tptp.neq @t137 tptp.nil)) (and @t109 (tptp.segmentP @t137 @t2)))) % 64.08/65.01 (define @t142 () (not (tptp.ssList @t137))) % 64.08/65.01 (define @t143 () (not @t26)) % 64.08/65.01 (define @t144 () (@list @t2 @t137 @t139)) % 64.08/65.01 (define @t145 () (forall @t144 (or @t143 @t142 (and (or @t138 @t135) @t141) (and @t140 (or @t138 @t136))))) % 64.08/65.01 (define @t146 () (@quantifiers_skolemize @t145 2)) % 64.08/65.01 (define @t147 () (tptp.ssItem @t146)) % 64.08/65.01 (define @t148 () (@quantifiers_skolemize @t145 1)) % 64.08/65.01 (define @t149 () (tptp.memberP @t148 @t146)) % 64.08/65.01 (define @t150 () (not @t149)) % 64.08/65.01 (define @t151 () (tptp.cons @t146 tptp.nil)) % 64.08/65.01 (define @t152 () (@quantifiers_skolemize @t145 0)) % 64.08/65.01 (define @t153 () (= @t152 @t151)) % 64.08/65.01 (define @t154 () (not @t153)) % 64.08/65.01 (define @t155 () (not @t147)) % 64.08/65.01 (define @t156 () (or @t155 @t154 @t150)) % 64.08/65.01 (define @t157 () (tptp.memberP tptp.nil @t146)) % 64.08/65.01 (define @t158 () (not @t157)) % 64.08/65.01 (define @t159 () (or @t155 @t158)) % 64.08/65.01 (define @t160 () (= tptp.nil @t148)) % 64.08/65.01 (define @t161 () (and @t160 @t149)) % 64.08/65.01 (define @t162 () (not @t160)) % 64.08/65.01 (define @t163 () (not (= @t137 tptp.nil))) % 64.08/65.01 (define @t164 () (or @t163 @t136)) % 64.08/65.01 (define @t165 () (and @t140 @t164)) % 64.08/65.01 (define @t166 () (or @t163 @t135)) % 64.08/65.01 (define @t167 () (and @t166 @t141)) % 64.08/65.01 (define @t168 () (or @t143 @t142 @t167 @t165)) % 64.08/65.01 (define @t169 () (or @t142 @t167 @t165)) % 64.08/65.01 (define @t170 () (or @t143 @t169)) % 64.08/65.01 (define @t171 () (forall @t144 @t170)) % 64.08/65.01 (define @t172 () (@list @t137 @t139)) % 64.08/65.01 (define @t173 () (forall @t172 @t170)) % 64.08/65.01 (define @t174 () (forall @t172 @t169)) % 64.08/65.01 (define @t175 () (@var "BOUND_VARIABLE_11054" $$unsorted)) % 64.08/65.01 (define @t176 () (or @t143 @t174)) % 64.08/65.01 (define @t177 () (not (= @t1 tptp.nil))) % 64.08/65.01 (define @t178 () (or @t177 @t136)) % 64.08/65.01 (define @t179 () (or (not (tptp.ssItem @t175)) (not (= @t2 (tptp.cons @t175 tptp.nil))) (not (tptp.memberP @t1 @t175)))) % 64.08/65.01 (define @t180 () (and @t179 @t178)) % 64.08/65.01 (define @t181 () (and (or @t177 @t135) @t110)) % 64.08/65.01 (define @t182 () (not @t32)) % 64.08/65.01 (define @t183 () (or @t182 @t181 @t180)) % 64.08/65.01 (define @t184 () (forall (@list @t1 @t175) @t183)) % 64.08/65.01 (define @t185 () (or @t143 @t184)) % 64.08/65.01 (define @t186 () (@list @t175)) % 64.08/65.01 (define @t187 () (forall @t186 @t183)) % 64.08/65.01 (define @t188 () (forall @t186 @t178)) % 64.08/65.01 (define @t189 () (forall @t186 @t179)) % 64.08/65.01 (define @t190 () (@var "BOUND_VARIABLE_11029" $$unsorted)) % 64.08/65.01 (define @t191 () (@list @t190)) % 64.08/65.01 (define @t192 () (and @t189 @t188)) % 64.08/65.01 (define @t193 () (forall @t186 @t180)) % 64.08/65.01 (define @t194 () (or @t182 @t181 @t193)) % 64.08/65.01 (define @t195 () (and (forall (@list @t190) (or (not (tptp.ssItem @t190)) (not (= @t2 (tptp.cons @t190 tptp.nil))) (not (tptp.memberP @t1 @t190)))) @t178)) % 64.08/65.01 (define @t196 () (or @t182 @t181 @t195)) % 64.08/65.01 (define @t197 () (forall @t7 @t196)) % 64.08/65.01 (define @t198 () (or @t143 @t197)) % 64.08/65.01 (define @t199 () (or @t143 @t196)) % 64.08/65.01 (define @t200 () (or @t182 @t181 @t143 @t195)) % 64.08/65.01 (define @t201 () (or @t181 @t182 @t143 @t195)) % 64.08/65.01 (define @t202 () (@var "BOUND_VARIABLE_11000" $$unsorted)) % 64.08/65.01 (define @t203 () (@list @t202)) % 64.08/65.01 (define @t204 () (forall @t203 @t178)) % 64.08/65.01 (define @t205 () (not (tptp.memberP @t1 @t202))) % 64.08/65.01 (define @t206 () (tptp.cons @t202 tptp.nil)) % 64.08/65.01 (define @t207 () (not (tptp.ssItem @t202))) % 64.08/65.01 (define @t208 () (or @t207 (not (= @t2 @t206)) @t205)) % 64.08/65.01 (define @t209 () (forall @t203 @t208)) % 64.08/65.01 (define @t210 () (@list @t202)) % 64.08/65.01 (define @t211 () (and @t209 @t204)) % 64.08/65.01 (define @t212 () (and @t208 @t178)) % 64.08/65.01 (define @t213 () (forall @t203 @t212)) % 64.08/65.01 (define @t214 () (or @t143 @t213)) % 64.08/65.01 (define @t215 () (or @t143 @t212)) % 64.08/65.01 (define @t216 () (not (= @t2 @t2))) % 64.08/65.01 (define @t217 () (or @t143 @t216 @t212)) % 64.08/65.01 (define @t218 () (not (= @t12 tptp.nil))) % 64.08/65.01 (define @t219 () (or @t177 @t218)) % 64.08/65.01 (define @t220 () (or @t207 (not (= @t12 @t206)) @t205)) % 64.08/65.01 (define @t221 () (and @t220 @t219)) % 64.08/65.01 (define @t222 () (not @t18)) % 64.08/65.01 (define @t223 () (or @t123 @t222 @t123 @t221)) % 64.08/65.01 (define @t224 () (or @t222 @t123 @t221)) % 64.08/65.01 (define @t225 () (forall @t20 @t224)) % 64.08/65.01 (define @t226 () (forall @t203 @t225)) % 64.08/65.01 (define @t227 () (forall (@list @t202 @t12) @t224)) % 64.08/65.01 (define @t228 () (forall (@list @t12 @t202) @t224)) % 64.08/65.01 (define @t229 () (forall @t203 @t224)) % 64.08/65.01 (define @t230 () (forall @t203 @t219)) % 64.08/65.01 (define @t231 () (forall @t203 @t220)) % 64.08/65.01 (define @t232 () (@var "BOUND_VARIABLE_10975" $$unsorted)) % 64.08/65.01 (define @t233 () (@list @t232)) % 64.08/65.01 (define @t234 () (and @t231 @t230)) % 64.08/65.01 (define @t235 () (forall @t203 @t221)) % 64.08/65.01 (define @t236 () (or @t222 @t123 @t235)) % 64.08/65.01 (define @t237 () (and (forall (@list @t232) (or (not (tptp.ssItem @t232)) (not (= @t12 (tptp.cons @t232 tptp.nil))) (not (tptp.memberP @t1 @t232)))) @t219)) % 64.08/65.01 (define @t238 () (or @t222 @t123 @t237)) % 64.08/65.01 (define @t239 () (forall @t20 @t238)) % 64.08/65.01 (define @t240 () (or @t181 @t182 @t239)) % 64.08/65.01 (define @t241 () (or @t181 @t182 @t238)) % 64.08/65.01 (define @t242 () (or @t222 @t123 @t181 @t182 @t237)) % 64.08/65.01 (define @t243 () (or @t123 @t181 @t182 @t237)) % 64.08/65.01 (define @t244 () (@var "BOUND_VARIABLE_10948" $$unsorted)) % 64.08/65.01 (define @t245 () (@list @t244)) % 64.08/65.01 (define @t246 () (forall @t245 @t219)) % 64.08/65.01 (define @t247 () (not (= @t12 (tptp.cons @t244 tptp.nil)))) % 64.08/65.01 (define @t248 () (not (tptp.ssItem @t244))) % 64.08/65.01 (define @t249 () (or @t248 @t247 (not (tptp.memberP @t1 @t244)))) % 64.08/65.01 (define @t250 () (forall @t245 @t249)) % 64.08/65.01 (define @t251 () (@list @t244)) % 64.08/65.01 (define @t252 () (and @t250 @t246)) % 64.08/65.01 (define @t253 () (and @t249 @t219)) % 64.08/65.01 (define @t254 () (forall @t245 @t253)) % 64.08/65.01 (define @t255 () (or @t182 @t254)) % 64.08/65.01 (define @t256 () (or @t182 @t253)) % 64.08/65.01 (define @t257 () (not (= @t1 @t1))) % 64.08/65.01 (define @t258 () (or @t182 @t257 @t253)) % 64.08/65.01 (define @t259 () (or (not (= @t10 tptp.nil)) @t218)) % 64.08/65.01 (define @t260 () (or @t248 @t247 (not (tptp.memberP @t10 @t244)))) % 64.08/65.01 (define @t261 () (and @t260 @t259)) % 64.08/65.01 (define @t262 () (or @t124 @t125 @t124 @t261)) % 64.08/65.01 (define @t263 () (or @t125 @t124 @t261)) % 64.08/65.01 (define @t264 () (forall @t16 @t263)) % 64.08/65.01 (define @t265 () (forall @t245 @t264)) % 64.08/65.01 (define @t266 () (forall (@list @t244 @t10) @t263)) % 64.08/65.01 (define @t267 () (forall (@list @t10 @t244) @t263)) % 64.08/65.01 (define @t268 () (forall @t245 @t263)) % 64.08/65.01 (define @t269 () (forall @t245 @t259)) % 64.08/65.01 (define @t270 () (forall @t245 @t260)) % 64.08/65.01 (define @t271 () (and @t270 @t269)) % 64.08/65.01 (define @t272 () (forall @t245 @t261)) % 64.08/65.01 (define @t273 () (or @t125 @t124 @t272)) % 64.08/65.01 (define @t274 () (and (forall @t44 (or @t119 (not (= @t12 @t117)) @t116)) @t259)) % 64.08/65.01 (define @t275 () (or @t125 @t124 @t274)) % 64.08/65.01 (define @t276 () (forall @t16 @t275)) % 64.08/65.01 (define @t277 () (or @t123 @t181 @t276)) % 64.08/65.01 (define @t278 () (or @t123 @t181 @t275)) % 64.08/65.01 (define @t279 () (or @t125 @t124 @t123 @t274 @t181)) % 64.08/65.01 (define @t280 () (= tptp.nil @t152)) % 64.08/65.01 (define @t281 () (not @t280)) % 64.08/65.01 (define @t282 () (or @t162 @t281)) % 64.08/65.01 (define @t283 () (and @t156 @t282)) % 64.08/65.01 (define @t284 () (tptp.segmentP @t148 @t152)) % 64.08/65.01 (define @t285 () (tptp.neq @t152 tptp.nil)) % 64.08/65.01 (define @t286 () (and @t285 @t284)) % 64.08/65.01 (define @t287 () (tptp.neq @t148 tptp.nil)) % 64.08/65.01 (define @t288 () (not @t287)) % 64.08/65.01 (define @t289 () (or @t288 @t286)) % 64.08/65.01 (define @t290 () (or @t162 @t280)) % 64.08/65.01 (define @t291 () (and @t290 @t289)) % 64.08/65.01 (define @t292 () (tptp.ssList @t148)) % 64.08/65.01 (define @t293 () (not @t292)) % 64.08/65.01 (define @t294 () (tptp.ssList @t152)) % 64.08/65.01 (define @t295 () (not @t294)) % 64.08/65.01 (define @t296 () (or @t295 @t293 @t291 @t283)) % 64.08/65.01 (define @t297 () (not @t296)) % 64.08/65.01 (define @t298 () (not @t145)) % 64.08/65.01 (define @t299 () (= @t152 tptp.nil)) % 64.08/65.01 (define @t300 () (not @t299)) % 64.08/65.01 (define @t301 () (or @t162 @t300)) % 64.08/65.01 (define @t302 () (and @t156 @t301)) % 64.08/65.01 (define @t303 () (or @t162 @t299)) % 64.08/65.01 (define @t304 () (and @t303 @t289)) % 64.08/65.01 (define @t305 () (or @t295 @t293 @t304 @t302)) % 64.08/65.01 (define @t306 () (not @t305)) % 64.08/65.01 (define @t307 () (@list true)) % 64.08/65.01 (define @t308 () (@list @t296)) % 64.08/65.01 (define @t309 () (not @t281)) % 64.08/65.01 (define @t310 () (@var "BOUND_VARIABLE_9108" $$unsorted)) % 64.08/65.01 (define @t311 () (= (tptp.neq @t2 @t310) (not (= @t2 @t310)))) % 64.08/65.01 (define @t312 () (not (tptp.ssList @t310))) % 64.08/65.01 (define @t313 () (or @t143 @t312 @t311)) % 64.08/65.01 (define @t314 () (or @t312 @t311)) % 64.08/65.01 (define @t315 () (or @t143 @t314)) % 64.08/65.01 (define @t316 () (@list @t2 @t310)) % 64.08/65.01 (define @t317 () (forall @t316 @t315)) % 64.08/65.01 (define @t318 () (@list @t310)) % 64.08/65.01 (define @t319 () (forall @t318 @t315)) % 64.08/65.01 (define @t320 () (forall @t318 @t314)) % 64.08/65.01 (define @t321 () (@list @t1)) % 64.08/65.01 (define @t322 () (or @t143 @t320)) % 64.08/65.01 (define @t323 () (forall @t7 (or @t182 @t5))) % 64.08/65.01 (define @t324 () (tptp.neq tptp.nil tptp.nil)) % 64.08/65.01 (define @t325 () (not (= tptp.nil tptp.nil))) % 64.08/65.01 (define @t326 () (= @t324 @t325)) % 64.08/65.01 (define @t327 () (not @t56)) % 64.08/65.01 (define @t328 () (or @t327 @t327 @t326)) % 64.08/65.01 (define @t329 () (forall @t316 @t313)) % 64.08/65.01 (define @t330 () (not @t324)) % 64.08/65.01 (define @t331 () (or @t327 @t327 @t330)) % 64.08/65.01 (define @t332 () (@list false)) % 64.08/65.01 (define @t333 () (@list @t329)) % 64.08/65.01 (define @t334 () (@list false false)) % 64.08/65.01 (define @t335 () (and @t160 @t330)) % 64.08/65.01 (define @t336 () (not @t162)) % 64.08/65.01 (define @t337 () (@list @t160)) % 64.08/65.01 (define @t338 () (@list true false)) % 64.08/65.01 (define @t339 () (@list @t156)) % 64.08/65.01 (define @t340 () (= @t2 @t70)) % 64.08/65.01 (define @t341 () (@list @t152)) % 64.08/65.01 (define @t342 () (tptp.app tptp.nil @t152)) % 64.08/65.01 (define @t343 () (= @t152 @t342)) % 64.08/65.01 (define @t344 () (or @t295 @t343)) % 64.08/65.01 (define @t345 () (@var "BOUND_VARIABLE_10532" $$unsorted)) % 64.08/65.01 (define @t346 () (= (tptp.cons @t345 @t2) (tptp.app (tptp.cons @t345 tptp.nil) @t2))) % 64.08/65.01 (define @t347 () (not (tptp.ssItem @t345))) % 64.08/65.01 (define @t348 () (or @t347 @t346)) % 64.08/65.01 (define @t349 () (or @t143 @t348)) % 64.08/65.01 (define @t350 () (forall (@list @t2 @t345) @t349)) % 64.08/65.01 (define @t351 () (@list @t345)) % 64.08/65.01 (define @t352 () (forall @t351 @t349)) % 64.08/65.01 (define @t353 () (forall @t351 @t348)) % 64.08/65.01 (define @t354 () (or @t143 @t353)) % 64.08/65.01 (define @t355 () (not @t6)) % 64.08/65.01 (define @t356 () (forall @t7 (or @t355 @t102))) % 64.08/65.01 (define @t357 () (@var "BOUND_VARIABLE_8235" $$unsorted)) % 64.08/65.01 (define @t358 () (not (tptp.ssList @t357))) % 64.08/65.01 (define @t359 () (@list @t12 @t357)) % 64.08/65.01 (define @t360 () (forall @t359 (or @t222 @t358 (not (= @t148 (tptp.app @t12 (tptp.cons @t146 @t357))))))) % 64.08/65.01 (define @t361 () (@quantifiers_skolemize @t360 1)) % 64.08/65.01 (define @t362 () (@list @t361 @t146)) % 64.08/65.01 (define @t363 () (@var "BOUND_VARIABLE_8260" $$unsorted)) % 64.08/65.01 (define @t364 () (= (tptp.memberP @t2 @t363) (not (forall @t359 (or @t222 @t358 (not (= @t2 (tptp.app @t12 (tptp.cons @t363 @t357))))))))) % 64.08/65.01 (define @t365 () (not (tptp.ssItem @t363))) % 64.08/65.01 (define @t366 () (or @t365 @t364)) % 64.08/65.01 (define @t367 () (or @t143 @t366)) % 64.08/65.01 (define @t368 () (forall (@list @t2 @t363) @t367)) % 64.08/65.01 (define @t369 () (@list @t363)) % 64.08/65.01 (define @t370 () (forall @t369 @t367)) % 64.08/65.01 (define @t371 () (forall @t369 @t366)) % 64.08/65.01 (define @t372 () (or @t143 @t371)) % 64.08/65.01 (define @t373 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t357))))) % 64.08/65.01 (define @t374 () (or @t222 @t358 @t373)) % 64.08/65.01 (define @t375 () (= @t22 (not (forall @t359 @t374)))) % 64.08/65.01 (define @t376 () (forall @t7 (or @t355 @t375))) % 64.08/65.01 (define @t377 () (or @t358 @t373)) % 64.08/65.01 (define @t378 () (or @t222 @t377)) % 64.08/65.01 (define @t379 () (forall @t359 @t378)) % 64.08/65.01 (define @t380 () (@list @t357)) % 64.08/65.01 (define @t381 () (forall @t380 @t378)) % 64.08/65.01 (define @t382 () (forall @t380 @t377)) % 64.08/65.01 (define @t383 () (@list @t10)) % 64.08/65.01 (define @t384 () (or @t222 @t382)) % 64.08/65.01 (define @t385 () (= @t2 @t13)) % 64.08/65.01 (define @t386 () (forall @t16 (or @t125 (not @t385)))) % 64.08/65.01 (define @t387 () (not @t386)) % 64.08/65.01 (define @t388 () (and @t18 @t387)) % 64.08/65.01 (define @t389 () (forall @t20 (not @t388))) % 64.08/65.01 (define @t390 () (not @t389)) % 64.08/65.01 (define @t391 () (and @t14 @t385)) % 64.08/65.01 (define @t392 () (forall @t16 (not @t391))) % 64.08/65.01 (define @t393 () (not @t392)) % 64.08/65.01 (define @t394 () (not @t360)) % 64.08/65.01 (define @t395 () (= @t149 @t394)) % 64.08/65.01 (define @t396 () (or @t293 @t155 @t395)) % 64.08/65.01 (define @t397 () (@list false false false)) % 64.08/65.01 (define @t398 () (tptp.cons @t146 @t361)) % 64.08/65.01 (define @t399 () (@quantifiers_skolemize @t360 0)) % 64.08/65.01 (define @t400 () (tptp.app @t399 @t398)) % 64.08/65.01 (define @t401 () (= @t148 @t400)) % 64.08/65.01 (define @t402 () (not @t401)) % 64.08/65.01 (define @t403 () (tptp.ssList @t361)) % 64.08/65.01 (define @t404 () (not @t403)) % 64.08/65.01 (define @t405 () (tptp.ssList @t399)) % 64.08/65.01 (define @t406 () (not @t405)) % 64.08/65.01 (define @t407 () (or @t406 @t404 @t402)) % 64.08/65.01 (define @t408 () (not @t407)) % 64.08/65.01 (define @t409 () (@list @t407)) % 64.08/65.01 (define @t410 () (tptp.app @t151 @t361)) % 64.08/65.01 (define @t411 () (= @t398 @t410)) % 64.08/65.01 (define @t412 () (or @t404 @t155 @t411)) % 64.08/65.01 (define @t413 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 64.08/65.01 (define @t414 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 64.08/65.01 (define @t415 () (@var "BOUND_VARIABLE_10209" $$unsorted)) % 64.08/65.01 (define @t416 () (tptp.segmentP (tptp.app (tptp.app @t415 @t2) @t414) @t413)) % 64.08/65.01 (define @t417 () (not (tptp.ssList @t414))) % 64.08/65.01 (define @t418 () (not (tptp.ssList @t415))) % 64.08/65.01 (define @t419 () (not (tptp.segmentP @t2 @t413))) % 64.08/65.01 (define @t420 () (not (tptp.ssList @t413))) % 64.08/65.01 (define @t421 () (or @t420 @t419 @t418 @t417 @t416)) % 64.08/65.01 (define @t422 () (or @t143 @t421)) % 64.08/65.01 (define @t423 () (forall (@list @t2 @t413 @t415 @t414) @t422)) % 64.08/65.01 (define @t424 () (@list @t413 @t415 @t414)) % 64.08/65.01 (define @t425 () (forall @t424 @t422)) % 64.08/65.01 (define @t426 () (forall @t424 @t421)) % 64.08/65.01 (define @t427 () (@var "BOUND_VARIABLE_10188" $$unsorted)) % 64.08/65.01 (define @t428 () (@var "BOUND_VARIABLE_10186" $$unsorted)) % 64.08/65.01 (define @t429 () (or @t143 @t426)) % 64.08/65.01 (define @t430 () (tptp.segmentP (tptp.app (tptp.app @t428 @t2) @t427) @t1)) % 64.08/65.01 (define @t431 () (not (tptp.ssList @t427))) % 64.08/65.01 (define @t432 () (not (tptp.ssList @t428))) % 64.08/65.01 (define @t433 () (not @t35)) % 64.08/65.01 (define @t434 () (or @t182 @t433 @t432 @t431 @t430)) % 64.08/65.01 (define @t435 () (@list @t1 @t428 @t427)) % 64.08/65.01 (define @t436 () (forall @t435 @t434)) % 64.08/65.01 (define @t437 () (or @t432 @t431 @t430)) % 64.08/65.01 (define @t438 () (or @t182 @t433 @t437)) % 64.08/65.01 (define @t439 () (forall @t435 @t438)) % 64.08/65.01 (define @t440 () (@list @t428 @t427)) % 64.08/65.01 (define @t441 () (forall @t440 @t438)) % 64.08/65.01 (define @t442 () (forall @t440 @t437)) % 64.08/65.01 (define @t443 () (@var "BOUND_VARIABLE_10169" $$unsorted)) % 64.08/65.01 (define @t444 () (or @t182 @t433 @t442)) % 64.08/65.01 (define @t445 () (tptp.segmentP (tptp.app @t83 @t443) @t1)) % 64.08/65.01 (define @t446 () (not (tptp.ssList @t443))) % 64.08/65.01 (define @t447 () (or @t222 @t446 @t445)) % 64.08/65.01 (define @t448 () (@list @t12 @t443)) % 64.08/65.01 (define @t449 () (forall @t448 @t447)) % 64.08/65.01 (define @t450 () (or @t182 @t433 @t449)) % 64.08/65.01 (define @t451 () (or @t433 @t449)) % 64.08/65.01 (define @t452 () (or @t446 @t445)) % 64.08/65.01 (define @t453 () (or @t222 @t452)) % 64.08/65.01 (define @t454 () (forall @t448 @t453)) % 64.08/65.01 (define @t455 () (@list @t443)) % 64.08/65.01 (define @t456 () (forall @t455 @t453)) % 64.08/65.01 (define @t457 () (forall @t455 @t452)) % 64.08/65.01 (define @t458 () (or @t222 @t457)) % 64.08/65.01 (define @t459 () (or @t125 @t87)) % 64.08/65.01 (define @t460 () (forall @t16 @t459)) % 64.08/65.01 (define @t461 () (or @t222 @t460)) % 64.08/65.01 (define @t462 () (forall @t20 @t461)) % 64.08/65.01 (define @t463 () (or @t433 @t462)) % 64.08/65.01 (define @t464 () (or @t433 @t461)) % 64.08/65.01 (define @t465 () (or @t222 @t433 @t460)) % 64.08/65.01 (define @t466 () (or @t433 @t460)) % 64.08/65.01 (define @t467 () (or @t433 @t459)) % 64.08/65.01 (define @t468 () (or @t125 @t433 @t87)) % 64.08/65.01 (define @t469 () (= @t2 @t106)) % 64.08/65.01 (define @t470 () (= @t148 (tptp.app @t148 tptp.nil))) % 64.08/65.01 (define @t471 () (or @t293 @t470)) % 64.08/65.01 (define @t472 () (= @t285 @t300)) % 64.08/65.01 (define @t473 () (or @t295 @t327 @t472)) % 64.08/65.01 (define @t474 () (= @t285 @t281)) % 64.08/65.01 (define @t475 () (or @t295 @t327 @t474)) % 64.08/65.01 (define @t476 () (@var "BOUND_VARIABLE_9152" $$unsorted)) % 64.08/65.01 (define @t477 () (not (= @t2 (tptp.cons @t476 @t2)))) % 64.08/65.01 (define @t478 () (not (tptp.ssItem @t476))) % 64.08/65.01 (define @t479 () (or @t478 @t477)) % 64.08/65.01 (define @t480 () (or @t143 @t479)) % 64.08/65.01 (define @t481 () (forall (@list @t2 @t476) @t480)) % 64.08/65.01 (define @t482 () (@list @t476)) % 64.08/65.01 (define @t483 () (forall @t482 @t480)) % 64.08/65.01 (define @t484 () (forall @t482 @t479)) % 64.08/65.01 (define @t485 () (or @t143 @t484)) % 64.08/65.01 (define @t486 () (not (= @t2 @t51))) % 64.08/65.01 (define @t487 () (forall @t7 (or @t355 @t486))) % 64.08/65.01 (define @t488 () (= tptp.nil @t151)) % 64.08/65.01 (define @t489 () (not @t488)) % 64.08/65.01 (define @t490 () (or @t327 @t155 @t489)) % 64.08/65.01 (define @t491 () (and @t153 @t489)) % 64.08/65.01 (define @t492 () (not @t474)) % 64.08/65.01 (define @t493 () (not @t284)) % 64.08/65.01 (define @t494 () (tptp.app @t400 tptp.nil)) % 64.08/65.01 (define @t495 () (tptp.segmentP @t494 @t152)) % 64.08/65.01 (define @t496 () (not @t495)) % 64.08/65.01 (define @t497 () (not @t470)) % 64.08/65.01 (define @t498 () (and @t493 @t470 @t401)) % 64.08/65.01 (define @t499 () (@var "BOUND_VARIABLE_9129" $$unsorted)) % 64.08/65.01 (define @t500 () (tptp.ssList (tptp.cons @t499 @t2))) % 64.08/65.01 (define @t501 () (not (tptp.ssItem @t499))) % 64.08/65.01 (define @t502 () (or @t501 @t500)) % 64.08/65.01 (define @t503 () (or @t143 @t502)) % 64.08/65.01 (define @t504 () (forall (@list @t2 @t499) @t503)) % 64.08/65.01 (define @t505 () (@list @t499)) % 64.08/65.01 (define @t506 () (forall @t505 @t503)) % 64.08/65.01 (define @t507 () (forall @t505 @t502)) % 64.08/65.01 (define @t508 () (or @t143 @t507)) % 64.08/65.01 (define @t509 () (forall @t7 (or @t355 @t52))) % 64.08/65.01 (define @t510 () (tptp.ssList @t398)) % 64.08/65.01 (define @t511 () (or @t404 @t155 @t510)) % 64.08/65.01 (define @t512 () (tptp.segmentP @t398 @t152)) % 64.08/65.01 (define @t513 () (not @t512)) % 64.08/65.01 (define @t514 () (not @t510)) % 64.08/65.01 (define @t515 () (or @t514 @t295 @t513 @t406 @t327 @t495)) % 64.08/65.01 (define @t516 () (tptp.segmentP @t152 @t152)) % 64.08/65.01 (define @t517 () (or @t295 @t516)) % 64.08/65.01 (define @t518 () (tptp.segmentP (tptp.app @t342 @t361) @t152)) % 64.08/65.01 (define @t519 () (not @t516)) % 64.08/65.01 (define @t520 () (or @t295 @t295 @t519 @t327 @t404 @t518)) % 64.08/65.01 (define @t521 () (not @t518)) % 64.08/65.01 (define @t522 () (not @t411)) % 64.08/65.01 (define @t523 () (not @t343)) % 64.08/65.01 (define @t524 () (and @t518 @t343 @t153 @t411 @t513)) % 64.08/65.01 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 64.08/65.01 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 64.08/65.01 (assume @p3 @t28) % 64.08/65.01 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 64.08/65.01 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 64.08/65.01 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 64.08/65.01 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 64.08/65.01 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 64.08/65.01 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 64.08/65.01 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 64.08/65.01 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 64.08/65.01 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 64.08/65.01 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t47)))))))))))))))) % 64.08/65.01 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t47))))))))))))) % 64.08/65.01 (assume @p15 @t50) % 64.08/65.01 (assume @p16 @t55) % 64.08/65.01 (assume @p17 @t56) % 64.08/65.01 (assume @p18 @t61) % 64.08/65.01 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t62))))))))))) % 64.08/65.01 (assume @p20 (forall @t9 (=> @t26 (or @t64 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t63 @t2))))))))) % 64.08/65.01 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 64.08/65.01 (assume @p22 (forall @t9 (=> @t26 (=> @t66 (tptp.ssItem @t65))))) % 64.08/65.01 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 64.08/65.01 (assume @p24 (forall @t9 (=> @t26 (=> @t66 (tptp.ssList @t67))))) % 64.08/65.01 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 64.08/65.01 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t68)))))) % 64.08/65.01 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t69) (tptp.app @t63 @t2))))))))) % 64.08/65.01 (assume @p28 @t72) % 64.08/65.01 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t74 @t73) @t3)))))) % 64.08/65.01 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t37) (tptp.leq @t2 @t12))))))))) % 64.08/65.01 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 64.08/65.01 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t73)))))) % 64.08/65.01 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not @t76))))))) % 64.08/65.01 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t77 @t46) @t78)))))))) % 64.08/65.01 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t76)))))) % 64.08/65.01 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t80))))))))) % 64.08/65.01 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t80))))))))) % 64.08/65.01 (assume @p38 @t82) % 64.08/65.01 (assume @p39 (not (tptp.singletonP tptp.nil))) % 64.08/65.01 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 64.08/65.01 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 64.08/65.01 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 64.08/65.01 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 64.08/65.01 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 64.08/65.01 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 64.08/65.01 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 64.08/65.01 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 64.08/65.01 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 64.08/65.01 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 64.08/65.01 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t83 @t1))))))))) % 64.08/65.01 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 64.08/65.01 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 64.08/65.01 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 64.08/65.01 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 @t84) @t3)))))) % 64.08/65.01 (assume @p55 @t86) % 64.08/65.01 (assume @p56 @t95) % 64.08/65.01 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 64.08/65.01 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 64.08/65.01 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t96)))) % 64.08/65.01 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 64.08/65.01 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t96)))) % 64.08/65.01 (assume @p62 (tptp.totalorderP tptp.nil)) % 64.08/65.01 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t96)))) % 64.08/65.01 (assume @p64 (tptp.strictorderP tptp.nil)) % 64.08/65.01 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t96)))) % 64.08/65.01 (assume @p66 (tptp.totalorderedP tptp.nil)) % 64.08/65.01 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t100) (or @t98 (and @t99 (tptp.totalorderedP @t1) (tptp.leq @t2 @t97))))))))) % 64.08/65.01 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t96)))) % 64.08/65.01 (assume @p69 (tptp.strictorderedP tptp.nil)) % 64.08/65.01 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t100) (or @t98 (and @t99 (tptp.strictorderedP @t1) (tptp.lt @t2 @t97))))))))) % 64.08/65.01 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t96)))) % 64.08/65.01 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 64.08/65.01 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t96)))) % 64.08/65.01 (assume @p74 (tptp.equalelemsP tptp.nil)) % 64.08/65.01 (assume @p75 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 64.08/65.01 (assume @p76 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t32 (= @t67 @t1))))))) % 64.08/65.01 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t99 @t66 (= @t97 @t65) (= (tptp.tl @t1) @t67)) @t62)))))) % 64.08/65.01 (assume @p78 (forall @t9 (=> @t26 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 64.08/65.01 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t68) @t101)))))))) % 64.08/65.01 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t69) @t101)))))))) % 64.08/65.01 (assume @p81 @t105) % 64.08/65.01 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t68 @t12) (tptp.app @t2 @t30))))))))) % 64.08/65.01 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t68) (and @t98 @t64))))))) % 64.08/65.01 (assume @p84 @t108) % 64.08/65.01 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.hd @t68) @t65))))))) % 64.08/65.01 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.tl @t68) (tptp.app @t67 @t1)))))))) % 64.08/65.01 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 (tptp.geq @t1 @t2)) @t3)))))) % 64.08/65.01 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t75 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 64.08/65.01 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 64.08/65.01 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 64.08/65.01 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t46) @t78)))))))) % 64.08/65.01 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (or @t3 @t77))))))) % 64.08/65.01 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 (and @t4 @t74))))))) % 64.08/65.01 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not (tptp.gt @t1 @t2)))))))) % 64.08/65.01 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t79 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 64.08/65.01 (assume @p96 @t134) % 64.08/65.01 (assume @p97 true) % 64.08/65.01 (step @p98 :rule bool-double-not-elim :args (@t147)) % 64.08/65.01 (step @p99 :rule refl :args (@t156)) % 64.08/65.01 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t156 (not @t155)))) % 64.08/65.01 (step @p101 :rule cnf_or_neg :args (@t156 0)) % 64.08/65.01 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 64.08/65.01 (step @p103 :rule reordering :premises (@p102) :args ((or @t147 @t156))) % 64.08/65.01 (step @p104 :rule bool-double-not-elim :args (@t149)) % 64.08/65.01 (step @p105 :rule nary_cong :premises (@p99 @p104) :args ((or @t156 (not @t150)))) % 64.08/65.01 (step @p106 :rule cnf_or_neg :args (@t156 2)) % 64.08/65.01 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 64.08/65.01 (step @p108 :rule reordering :premises (@p107) :args ((or @t149 @t156))) % 64.08/65.01 (step @p109 :rule bool-impl-elim :args (@t8 @t81)) % 64.08/65.01 (step @p110 :rule cong :premises (@p109) :args (@t82)) % 64.08/65.01 (step @p111 :rule eq_resolve :premises (@p38 @p110)) % 64.08/65.01 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t146))) % 64.08/65.01 (step @p113 :rule cnf_or_pos :args (@t159)) % 64.08/65.01 (step @p114 :rule reordering :premises (@p113) :args ((or @t155 @t158 (not @t159)))) % 64.08/65.01 (assume-push @p911 @t160) % 64.08/65.01 (assume-push @p912 @t149) % 64.08/65.01 (assume-push @p913 @t149) % 64.08/65.01 (assume-push @p914 @t160) % 64.08/65.01 (step @p119 :rule true_intro :premises (@p912)) % 64.08/65.01 (step @p120 :rule refl :args (@t146)) % 64.08/65.01 (step @p121 :rule cong :premises (@p911 @p120) :args (@t157)) % 64.08/65.01 (step @p122 :rule trans :premises (@p121 @p119)) % 64.08/65.01 (step @p123 :rule true_elim :premises (@p122)) % 64.08/65.01 (step-pop @p915 :rule scope :premises (@p123)) % 64.08/65.01 (step-pop @p916 :rule scope :premises (@p915)) % 64.08/65.01 (step @p124 :rule process_scope :premises (@p916) :args (@t157)) % 64.08/65.01 (step @p127 :rule and_intro :premises (@p912 @p911)) % 64.08/65.01 (step @p128 :rule modus_ponens :premises (@p127 @p124)) % 64.08/65.01 (step-pop @p917 :rule scope :premises (@p128)) % 64.08/65.01 (step-pop @p918 :rule scope :premises (@p917)) % 64.08/65.01 (step @p129 :rule process_scope :premises (@p918) :args (@t157)) % 64.08/65.01 (step @p132 :rule implies_elim :premises (@p129)) % 64.08/65.01 (step @p133 :rule cnf_and_neg :args (@t161)) % 64.08/65.01 (step @p134 :rule resolution :premises (@p133 @p132) :args (true @t161)) % 64.08/65.01 (step @p135 :rule chain_m_resolution :premises (@p134 @p114 @p112 @p108 @p103) :args ((or @t162 @t156) (@list true false false false) (@list @t157 @t159 @t149 @t147))) % 64.08/65.01 (step @p136 :rule refl :args (@t136)) % 64.08/65.01 (step @p137 :rule eq-symm :args (@t137 tptp.nil)) % 64.08/65.01 (step @p138 :rule cong :premises (@p137) :args (@t163)) % 64.08/65.01 (step @p139 :rule nary_cong :premises (@p138 @p136) :args (@t164)) % 64.08/65.01 (step @p140 :rule refl :args (@t140)) % 64.08/65.01 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t165)) % 64.08/65.01 (step @p142 :rule refl :args (@t141)) % 64.08/65.01 (step @p143 :rule refl :args (@t135)) % 64.08/65.01 (step @p144 :rule nary_cong :premises (@p138 @p143) :args (@t166)) % 64.08/65.01 (step @p145 :rule nary_cong :premises (@p144 @p142) :args (@t167)) % 64.08/65.01 (step @p146 :rule refl :args (@t142)) % 64.08/65.01 (step @p147 :rule refl :args (@t143)) % 64.08/65.01 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145 @p141) :args (@t168)) % 64.08/65.01 (step @p149 :rule aci_norm :args ((= @t170 @t168))) % 64.08/65.01 (step @p150 :rule trans :premises (@p149 @p148)) % 64.08/65.01 (step @p151 :rule cong :premises (@p150) :args (@t171)) % 64.08/65.01 (step @p152 :rule quant-merge-prenex :args ((= (forall @t9 @t173) @t171))) % 64.08/65.01 (step @p153 :rule alpha_equiv :args (@t174 (@list @t137 @t139) (@list @t1 @t175))) % 64.08/65.01 (step @p154 :rule refl :args (@t143)) % 64.08/65.01 (step @p155 :rule nary_cong :premises (@p154 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(@p16 @p839)) % 64.08/65.02 (step @p841 :rule instantiate :premises (@p840) :args (@t362)) % 64.08/65.02 (step @p842 :rule cnf_or_pos :args (@t511)) % 64.08/65.02 (step @p843 :rule reordering :premises (@p842) :args ((or @t155 @t404 @t510 (not @t511)))) % 64.08/65.02 (step @p844 :rule chain_m_resolution :premises (@p843 @p572 @p602 @p841) :args (@t510 @t397 (@list @t147 @t403 @t511))) % 64.08/65.02 (step @p845 :rule bool-double-not-elim :args (@t405)) % 64.08/65.02 (step @p846 :rule nary_cong :premises (@p597 @p845) :args ((or @t407 (not @t406)))) % 64.08/65.02 (step @p847 :rule cnf_or_neg :args (@t407 0)) % 64.08/65.02 (step @p848 :rule eq_resolve :premises (@p847 @p846)) % 64.08/65.02 (step @p849 :rule reordering :premises (@p848) :args ((or @t405 @t407))) % 64.08/65.02 (step @p850 :rule chain_m_resolution :premises (@p849 @p595) :args (@t405 @t307 @t409)) % 64.08/65.02 (step @p851 :rule cnf_or_pos :args (@t515)) % 64.08/65.02 (step @p852 :rule reordering :premises (@p851) :args ((or @t327 @t295 @t406 @t514 @t513 @t495 (not @t515)))) % 64.08/65.02 (step @p853 :rule chain_m_resolution :premises (@p852 @p17 @p487 @p850 @p844 @p820 @p682) :args (@t513 (@list false false false false true false) (@list @t56 @t294 @t405 @t510 @t495 @t515))) % 64.08/65.02 (step @p854 :rule instantiate :premises (@p681) :args ((@list @t152 @t152 tptp.nil @t361))) % 64.08/65.02 (step @p855 :rule bool-impl-elim :args (@t26 @t85)) % 64.08/65.02 (step @p856 :rule cong :premises (@p855) :args (@t86)) % 64.08/65.02 (step @p857 :rule eq_resolve :premises (@p55 @p856)) % 64.08/65.02 (step @p858 :rule instantiate :premises (@p857) :args (@t341)) % 64.08/65.02 (step @p859 :rule cnf_or_pos :args (@t517)) % 64.08/65.02 (step @p860 :rule reordering :premises (@p859) :args ((or @t295 @t516 (not @t517)))) % 64.08/65.02 (step @p861 :rule chain_m_resolution :premises (@p860 @p487 @p858) :args (@t516 @t334 (@list @t294 @t517))) % 64.08/65.02 (step @p862 :rule cnf_or_pos :args (@t520)) % 64.08/65.02 (step @p863 :rule factoring :premises (@p862)) % 64.08/65.02 (step @p864 :rule reordering :premises (@p863) :args ((or @t327 @t295 @t519 @t404 @t518 (not @t520)))) % 64.08/65.02 (step @p865 :rule chain_m_resolution :premises (@p864 @p17 @p487 @p861 @p602 @p854) :args (@t518 (@list false false false false false) (@list @t56 @t294 @t516 @t403 @t520))) % 64.08/65.02 (step @p866 :rule refl :args (@t521)) % 64.08/65.02 (step @p867 :rule refl :args (@t522)) % 64.08/65.02 (step @p868 :rule bool-double-not-elim :args (@t512)) % 64.08/65.02 (step @p869 :rule refl :args (@t523)) % 64.08/65.02 (step @p870 :rule nary_cong :premises (@p745 @p869 @p868 @p867 @p866) :args ((or @t154 @t523 (not @t513) @t522 @t521))) % 64.08/65.02 (assume-push @p955 @t518) % 64.08/65.02 (assume-push @p956 @t343) % 64.08/65.02 (assume-push @p957 @t153) % 64.08/65.02 (assume-push @p958 @t411) % 64.08/65.02 (assume-push @p959 @t513) % 64.08/65.02 (step @p876 :rule evaluate :args ((= false true))) % 64.08/65.02 (step @p877 :rule true_intro :premises (@p955)) % 64.08/65.02 (step @p798 :rule refl :args (@t152)) % 64.08/65.02 (step @p878 :rule refl :args (@t361)) % 64.08/65.02 (step @p879 :rule cong :premises (@p490 @p878) :args ((tptp.app @t152 @t361))) % 64.08/65.02 (step @p880 :rule symm :premises (@p957)) % 64.08/65.02 (step @p881 :rule cong :premises (@p880 @p878) :args (@t410)) % 64.08/65.02 (step @p882 :rule trans :premises (@p958 @p881 @p879)) % 64.08/65.02 (step @p883 :rule cong :premises (@p882 @p798) :args (@t512)) % 64.08/65.02 (step @p884 :rule false_intro :premises (@p959)) % 64.08/65.02 (step @p885 :rule symm :premises (@p884)) % 64.08/65.02 (step @p886 :rule trans :premises (@p885 @p883 @p877)) % 64.08/65.02 (step @p887 false :rule eq_resolve :premises (@p886 @p876)) % 64.08/65.02 (step-pop @p960 :rule scope :premises (@p887)) % 64.08/65.02 (step-pop @p961 :rule scope :premises (@p960)) % 64.08/65.02 (step-pop @p962 :rule scope :premises (@p961)) % 64.08/65.02 (step-pop @p963 :rule scope :premises (@p962)) % 64.08/65.02 (step-pop @p964 :rule scope :premises (@p963)) % 64.08/65.02 (step @p888 :rule process_scope :premises (@p964) :args (false)) % 64.08/65.02 (assume-push @p965 @t153) % 64.08/65.02 (assume-push @p966 @t343) % 64.08/65.02 (assume-push @p967 @t513) % 64.08/65.02 (assume-push @p968 @t411) % 64.08/65.02 (assume-push @p969 @t518) % 64.08/65.02 (step @p899 :rule and_intro :premises (@p969 @p490 @p965 @p968 @p967)) % 64.08/65.02 (step-pop @p970 :rule scope :premises (@p899)) % 64.08/65.02 (step-pop @p971 :rule scope :premises (@p970)) % 64.08/65.02 (step-pop @p972 :rule scope :premises (@p971)) % 64.08/65.02 (step-pop @p973 :rule scope :premises (@p972)) % 64.08/65.02 (step-pop @p974 :rule scope :premises (@p973)) % 64.08/65.02 (step @p900 :rule process_scope :premises (@p974) :args (@t524)) % 64.08/65.02 (step @p906 :rule implies_elim :premises (@p900)) % 64.08/65.02 (step @p907 :rule resolution :premises (@p906 @p888) :args (true @t524)) % 64.08/65.02 (step @p908 :rule not_and :premises (@p907)) % 64.08/65.02 (step @p909 :rule eq_resolve :premises (@p908 @p870)) % 64.08/65.02 (step @p910 false :rule chain_m_resolution :premises (@p909 @p865 @p853 @p605 @p490 @p472) :args (false (@list false true false false false) (@list @t518 @t512 @t411 @t343 @t153))) % 64.08/65.02 ) % 64.08/65.02 % SZS output end Proof % 64.08/65.02 % cvc5 exiting %------------------------------------------------------------------------------