%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC126+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 : n012.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 08:58:09 AM UTC 2026 % Result : Theorem 63.86s 64.79s % Output : Proof 63.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SWC126+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.26 % Computer : n012.cluster.edu % 0.09/0.26 % Model : x86_64 x86_64 % 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.26 % Memory : 8042.1875MB % 0.09/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.26 % CPULimit : 300 % 0.09/0.26 % WCLimit : 300 % 0.09/0.26 % DateTime : Tue Jun 2 19:16:18 EDT 2026 % 0.09/0.26 % CPUTime : % 0.16/0.35 %----Proving TF0_NAR, FOF, or CNF % 63.86/64.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 63.86/64.79 --- Run --no-e-matching --full-saturate-quant at 6... % 63.86/64.79 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 63.86/64.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 63.86/64.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.86/64.79 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.86/64.79 % SZS status Theorem % 63.86/64.79 % SZS output start Proof % 63.86/64.79 ( % 63.86/64.79 (declare-sort $$unsorted 0) % 63.86/64.79 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 63.86/64.79 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 63.86/64.79 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 63.86/64.79 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 63.86/64.79 (declare-const tptp.nil $$unsorted) % 63.86/64.79 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.ssList (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 63.86/64.79 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 63.86/64.79 (define @t1 () (@var "V" $$unsorted)) % 63.86/64.79 (define @t2 () (@var "U" $$unsorted)) % 63.86/64.79 (define @t3 () (= @t2 @t1)) % 63.86/64.79 (define @t4 () (not @t3)) % 63.86/64.79 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 63.86/64.79 (define @t6 () (tptp.ssItem @t1)) % 63.86/64.79 (define @t7 () (@list @t1)) % 63.86/64.79 (define @t8 () (tptp.ssItem @t2)) % 63.86/64.79 (define @t9 () (@list @t2)) % 63.86/64.79 (define @t10 () (@var "X" $$unsorted)) % 63.86/64.79 (define @t11 () (tptp.cons @t1 @t10)) % 63.86/64.79 (define @t12 () (@var "W" $$unsorted)) % 63.86/64.79 (define @t13 () (tptp.app @t12 @t11)) % 63.86/64.79 (define @t14 () (tptp.ssList @t10)) % 63.86/64.79 (define @t15 () (and @t14 (= @t13 @t2))) % 63.86/64.79 (define @t16 () (@list @t10)) % 63.86/64.79 (define @t17 () (exists @t16 @t15)) % 63.86/64.79 (define @t18 () (tptp.ssList @t12)) % 63.86/64.79 (define @t19 () (and @t18 @t17)) % 63.86/64.79 (define @t20 () (@list @t12)) % 63.86/64.79 (define @t21 () (exists @t20 @t19)) % 63.86/64.79 (define @t22 () (tptp.memberP @t2 @t1)) % 63.86/64.79 (define @t23 () (= @t22 @t21)) % 63.86/64.79 (define @t24 () (=> @t6 @t23)) % 63.86/64.79 (define @t25 () (forall @t7 @t24)) % 63.86/64.79 (define @t26 () (tptp.ssList @t2)) % 63.86/64.79 (define @t27 () (=> @t26 @t25)) % 63.86/64.79 (define @t28 () (forall @t9 @t27)) % 63.86/64.79 (define @t29 () (tptp.cons @t1 tptp.nil)) % 63.86/64.79 (define @t30 () (tptp.app @t1 @t12)) % 63.86/64.79 (define @t31 () (tptp.frontsegP @t2 @t1)) % 63.86/64.79 (define @t32 () (tptp.ssList @t1)) % 63.86/64.79 (define @t33 () (tptp.app @t12 @t1)) % 63.86/64.79 (define @t34 () (tptp.rearsegP @t2 @t1)) % 63.86/64.79 (define @t35 () (tptp.segmentP @t2 @t1)) % 63.86/64.79 (define @t36 () (tptp.leq @t12 @t1)) % 63.86/64.79 (define @t37 () (tptp.leq @t1 @t12)) % 63.86/64.79 (define @t38 () (@var "Z" $$unsorted)) % 63.86/64.79 (define @t39 () (@var "Y" $$unsorted)) % 63.86/64.79 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 63.86/64.79 (define @t41 () (tptp.ssList @t38)) % 63.86/64.79 (define @t42 () (@list @t38)) % 63.86/64.79 (define @t43 () (tptp.ssList @t39)) % 63.86/64.79 (define @t44 () (@list @t39)) % 63.86/64.79 (define @t45 () (tptp.ssItem @t12)) % 63.86/64.79 (define @t46 () (tptp.lt @t1 @t12)) % 63.86/64.79 (define @t47 () (= @t1 @t12)) % 63.86/64.79 (define @t48 () (forall @t7 (=> @t32 @t5))) % 63.86/64.79 (define @t49 () (=> @t26 @t48)) % 63.86/64.79 (define @t50 () (forall @t9 @t49)) % 63.86/64.79 (define @t51 () (tptp.cons @t1 @t2)) % 63.86/64.79 (define @t52 () (tptp.ssList @t51)) % 63.86/64.79 (define @t53 () (forall @t7 (=> @t6 @t52))) % 63.86/64.79 (define @t54 () (=> @t26 @t53)) % 63.86/64.79 (define @t55 () (forall @t9 @t54)) % 63.86/64.79 (define @t56 () (tptp.ssList tptp.nil)) % 63.86/64.79 (define @t57 () (not (= @t51 @t2))) % 63.86/64.79 (define @t58 () (=> @t6 @t57)) % 63.86/64.79 (define @t59 () (forall @t7 @t58)) % 63.86/64.79 (define @t60 () (=> @t26 @t59)) % 63.86/64.79 (define @t61 () (forall @t9 @t60)) % 63.86/64.79 (define @t62 () (= @t1 @t2)) % 63.86/64.79 (define @t63 () (tptp.cons @t12 @t1)) % 63.86/64.79 (define @t64 () (= tptp.nil @t2)) % 63.86/64.79 (define @t65 () (tptp.hd @t2)) % 63.86/64.79 (define @t66 () (not @t64)) % 63.86/64.79 (define @t67 () (tptp.tl @t2)) % 63.86/64.79 (define @t68 () (tptp.app @t2 @t1)) % 63.86/64.79 (define @t69 () (tptp.app @t1 @t2)) % 63.86/64.79 (define @t70 () (tptp.app tptp.nil @t2)) % 63.86/64.79 (define @t71 () (=> @t26 (= @t70 @t2))) % 63.86/64.79 (define @t72 () (forall @t9 @t71)) % 63.86/64.79 (define @t73 () (tptp.leq @t1 @t2)) % 63.86/64.79 (define @t74 () (tptp.leq @t2 @t1)) % 63.86/64.79 (define @t75 () (tptp.geq @t2 @t1)) % 63.86/64.79 (define @t76 () (tptp.lt @t1 @t2)) % 63.86/64.79 (define @t77 () (tptp.lt @t2 @t1)) % 63.86/64.79 (define @t78 () (tptp.lt @t2 @t12)) % 63.86/64.79 (define @t79 () (tptp.gt @t2 @t1)) % 63.86/64.79 (define @t80 () (tptp.memberP @t12 @t2)) % 63.86/64.79 (define @t81 () (tptp.app @t12 @t2)) % 63.86/64.79 (define @t82 () (tptp.segmentP @t1 @t2)) % 63.86/64.79 (define @t83 () (tptp.segmentP @t2 @t2)) % 63.86/64.79 (define @t84 () (forall @t9 (=> @t26 @t83))) % 63.86/64.79 (define @t85 () (tptp.segmentP (tptp.app @t81 @t10) @t1)) % 63.86/64.79 (define @t86 () (=> @t35 @t85)) % 63.86/64.79 (define @t87 () (forall @t16 (=> @t14 @t86))) % 63.86/64.79 (define @t88 () (=> @t18 @t87)) % 63.86/64.79 (define @t89 () (forall @t20 @t88)) % 63.86/64.79 (define @t90 () (=> @t32 @t89)) % 63.86/64.79 (define @t91 () (forall @t7 @t90)) % 63.86/64.79 (define @t92 () (=> @t26 @t91)) % 63.86/64.79 (define @t93 () (forall @t9 @t92)) % 63.86/64.79 (define @t94 () (tptp.cons @t2 tptp.nil)) % 63.86/64.79 (define @t95 () (tptp.hd @t1)) % 63.86/64.79 (define @t96 () (= tptp.nil @t1)) % 63.86/64.79 (define @t97 () (not @t96)) % 63.86/64.79 (define @t98 () (tptp.cons @t2 @t1)) % 63.86/64.79 (define @t99 () (= @t12 @t2)) % 63.86/64.79 (define @t100 () (= @t51 (tptp.app @t29 @t2))) % 63.86/64.79 (define @t101 () (forall @t7 (=> @t6 @t100))) % 63.86/64.79 (define @t102 () (=> @t26 @t101)) % 63.86/64.79 (define @t103 () (forall @t9 @t102)) % 63.86/64.79 (define @t104 () (tptp.app @t2 tptp.nil)) % 63.86/64.79 (define @t105 () (=> @t26 (= @t104 @t2))) % 63.86/64.79 (define @t106 () (forall @t9 @t105)) % 63.86/64.79 (define @t107 () (tptp.neq @t1 tptp.nil)) % 63.86/64.79 (define @t108 () (not @t107)) % 63.86/64.79 (define @t109 () (or @t108 (tptp.neq @t10 tptp.nil))) % 63.86/64.79 (define @t110 () (tptp.neq @t2 tptp.nil)) % 63.86/64.79 (define @t111 () (and @t110 @t82)) % 63.86/64.79 (define @t112 () (not (tptp.memberP @t10 @t39))) % 63.86/64.79 (define @t113 () (tptp.cons @t39 tptp.nil)) % 63.86/64.79 (define @t114 () (not (= @t113 @t12))) % 63.86/64.79 (define @t115 () (or @t114 @t112)) % 63.86/64.79 (define @t116 () (tptp.ssItem @t39)) % 63.86/64.79 (define @t117 () (=> @t116 @t115)) % 63.86/64.79 (define @t118 () (forall @t44 @t117)) % 63.86/64.79 (define @t119 () (or @t108 @t118 @t111)) % 63.86/64.79 (define @t120 () (and @t119 @t109)) % 63.86/64.79 (define @t121 () (not (= @t2 @t12))) % 63.86/64.79 (define @t122 () (not (= @t1 @t10))) % 63.86/64.79 (define @t123 () (or @t122 @t121 @t120)) % 63.86/64.79 (define @t124 () (=> @t14 @t123)) % 63.86/64.79 (define @t125 () (forall @t16 @t124)) % 63.86/64.79 (define @t126 () (=> @t18 @t125)) % 63.86/64.79 (define @t127 () (forall @t20 @t126)) % 63.86/64.79 (define @t128 () (=> @t32 @t127)) % 63.86/64.79 (define @t129 () (forall @t7 @t128)) % 63.86/64.79 (define @t130 () (=> @t26 @t129)) % 63.86/64.79 (define @t131 () (forall @t9 @t130)) % 63.86/64.79 (define @t132 () (not @t131)) % 63.86/64.79 (define @t133 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 63.86/64.79 (define @t134 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 63.86/64.79 (define @t135 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 63.86/64.79 (define @t136 () (tptp.segmentP (tptp.app (tptp.app @t135 @t2) @t134) @t133)) % 63.86/64.79 (define @t137 () (not (tptp.ssList @t134))) % 63.86/64.79 (define @t138 () (not (tptp.ssList @t135))) % 63.86/64.79 (define @t139 () (not (tptp.segmentP @t2 @t133))) % 63.86/64.79 (define @t140 () (not (tptp.ssList @t133))) % 63.86/64.79 (define @t141 () (not @t26)) % 63.86/64.79 (define @t142 () (or @t140 @t139 @t138 @t137 @t136)) % 63.86/64.79 (define @t143 () (or @t141 @t142)) % 63.86/64.79 (define @t144 () (forall (@list @t2 @t133 @t135 @t134) @t143)) % 63.86/64.79 (define @t145 () (@list @t133 @t135 @t134)) % 63.86/64.79 (define @t146 () (forall @t145 @t143)) % 63.86/64.79 (define @t147 () (forall @t145 @t142)) % 63.86/64.79 (define @t148 () (@var "BOUND_VARIABLE_10184" $$unsorted)) % 63.86/64.79 (define @t149 () (@var "BOUND_VARIABLE_10182" $$unsorted)) % 63.86/64.79 (define @t150 () (or @t141 @t147)) % 63.86/64.79 (define @t151 () (tptp.segmentP (tptp.app (tptp.app @t149 @t2) @t148) @t1)) % 63.86/64.79 (define @t152 () (not (tptp.ssList @t148))) % 63.86/64.79 (define @t153 () (not (tptp.ssList @t149))) % 63.86/64.79 (define @t154 () (not @t35)) % 63.86/64.79 (define @t155 () (not @t32)) % 63.86/64.79 (define @t156 () (or @t155 @t154 @t153 @t152 @t151)) % 63.86/64.79 (define @t157 () (@list @t1 @t149 @t148)) % 63.86/64.79 (define @t158 () (forall @t157 @t156)) % 63.86/64.79 (define @t159 () (or @t153 @t152 @t151)) % 63.86/64.79 (define @t160 () (or @t155 @t154 @t159)) % 63.86/64.79 (define @t161 () (forall @t157 @t160)) % 63.86/64.79 (define @t162 () (@list @t149 @t148)) % 63.86/64.79 (define @t163 () (forall @t162 @t160)) % 63.86/64.79 (define @t164 () (forall @t162 @t159)) % 63.86/64.79 (define @t165 () (@var "BOUND_VARIABLE_10165" $$unsorted)) % 63.86/64.79 (define @t166 () (or @t155 @t154 @t164)) % 63.86/64.79 (define @t167 () (tptp.segmentP (tptp.app @t81 @t165) @t1)) % 63.86/64.79 (define @t168 () (not (tptp.ssList @t165))) % 63.86/64.79 (define @t169 () (not @t18)) % 63.86/64.79 (define @t170 () (or @t169 @t168 @t167)) % 63.86/64.79 (define @t171 () (@list @t12 @t165)) % 63.86/64.79 (define @t172 () (forall @t171 @t170)) % 63.86/64.79 (define @t173 () (or @t155 @t154 @t172)) % 63.86/64.79 (define @t174 () (or @t154 @t172)) % 63.86/64.79 (define @t175 () (or @t168 @t167)) % 63.86/64.79 (define @t176 () (or @t169 @t175)) % 63.86/64.79 (define @t177 () (forall @t171 @t176)) % 63.86/64.79 (define @t178 () (@list @t165)) % 63.86/64.79 (define @t179 () (forall @t178 @t176)) % 63.86/64.79 (define @t180 () (forall @t178 @t175)) % 63.86/64.79 (define @t181 () (@list @t10)) % 63.86/64.79 (define @t182 () (or @t169 @t180)) % 63.86/64.79 (define @t183 () (not @t14)) % 63.86/64.79 (define @t184 () (or @t183 @t85)) % 63.86/64.79 (define @t185 () (forall @t16 @t184)) % 63.86/64.79 (define @t186 () (or @t169 @t185)) % 63.86/64.79 (define @t187 () (forall @t20 @t186)) % 63.86/64.79 (define @t188 () (or @t154 @t187)) % 63.86/64.79 (define @t189 () (or @t154 @t186)) % 63.86/64.79 (define @t190 () (or @t169 @t154 @t185)) % 63.86/64.79 (define @t191 () (or @t154 @t185)) % 63.86/64.79 (define @t192 () (or @t154 @t184)) % 63.86/64.79 (define @t193 () (or @t183 @t154 @t85)) % 63.86/64.79 (define @t194 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 63.86/64.79 (define @t195 () (@var "BOUND_VARIABLE_11050" $$unsorted)) % 63.86/64.79 (define @t196 () (@var "BOUND_VARIABLE_11048" $$unsorted)) % 63.86/64.79 (define @t197 () (not (tptp.memberP @t196 @t195))) % 63.86/64.79 (define @t198 () (not (tptp.ssItem @t195))) % 63.86/64.79 (define @t199 () (tptp.cons @t195 tptp.nil)) % 63.86/64.79 (define @t200 () (and (tptp.neq @t199 tptp.nil) (tptp.segmentP @t196 @t199))) % 63.86/64.79 (define @t201 () (not (tptp.neq @t196 tptp.nil))) % 63.86/64.79 (define @t202 () (not (tptp.ssList @t196))) % 63.86/64.79 (define @t203 () (not (tptp.ssList @t199))) % 63.86/64.79 (define @t204 () (or @t203 @t202 @t201 @t200 @t198 @t197)) % 63.86/64.79 (define @t205 () (@list @t196 @t195)) % 63.86/64.79 (define @t206 () (forall @t205 @t204)) % 63.86/64.79 (define @t207 () (@quantifiers_skolemize @t206 1)) % 63.86/64.79 (define @t208 () (@quantifiers_skolemize @t206 0)) % 63.86/64.79 (define @t209 () (not (tptp.ssList @t194))) % 63.86/64.79 (define @t210 () (@list @t12 @t194)) % 63.86/64.79 (define @t211 () (forall @t210 (or @t169 @t209 (not (= @t208 (tptp.app @t12 (tptp.cons @t207 @t194))))))) % 63.86/64.79 (define @t212 () (@quantifiers_skolemize @t211 1)) % 63.86/64.79 (define @t213 () (tptp.cons @t207 tptp.nil)) % 63.86/64.79 (define @t214 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 63.86/64.79 (define @t215 () (= (tptp.memberP @t2 @t214) (not (forall @t210 (or @t169 @t209 (not (= @t2 (tptp.app @t12 (tptp.cons @t214 @t194))))))))) % 63.86/64.79 (define @t216 () (not (tptp.ssItem @t214))) % 63.86/64.79 (define @t217 () (or @t216 @t215)) % 63.86/64.79 (define @t218 () (or @t141 @t217)) % 63.86/64.79 (define @t219 () (forall (@list @t2 @t214) @t218)) % 63.86/64.79 (define @t220 () (@list @t214)) % 63.86/64.79 (define @t221 () (forall @t220 @t218)) % 63.86/64.79 (define @t222 () (forall @t220 @t217)) % 63.86/64.79 (define @t223 () (@list @t1)) % 63.86/64.79 (define @t224 () (or @t141 @t222)) % 63.86/64.79 (define @t225 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t194))))) % 63.86/64.79 (define @t226 () (or @t169 @t209 @t225)) % 63.86/64.79 (define @t227 () (= @t22 (not (forall @t210 @t226)))) % 63.86/64.79 (define @t228 () (not @t6)) % 63.86/64.79 (define @t229 () (forall @t7 (or @t228 @t227))) % 63.86/64.79 (define @t230 () (or @t209 @t225)) % 63.86/64.79 (define @t231 () (or @t169 @t230)) % 63.86/64.79 (define @t232 () (forall @t210 @t231)) % 63.86/64.79 (define @t233 () (@list @t194)) % 63.86/64.79 (define @t234 () (forall @t233 @t231)) % 63.86/64.79 (define @t235 () (forall @t233 @t230)) % 63.86/64.79 (define @t236 () (or @t169 @t235)) % 63.86/64.79 (define @t237 () (= @t2 @t13)) % 63.86/64.79 (define @t238 () (forall @t16 (or @t183 (not @t237)))) % 63.86/64.79 (define @t239 () (not @t238)) % 63.86/64.79 (define @t240 () (and @t18 @t239)) % 63.86/64.79 (define @t241 () (forall @t20 (not @t240))) % 63.86/64.79 (define @t242 () (not @t241)) % 63.86/64.79 (define @t243 () (and @t14 @t237)) % 63.86/64.79 (define @t244 () (forall @t16 (not @t243))) % 63.86/64.79 (define @t245 () (not @t244)) % 63.86/64.79 (define @t246 () (not (= @t199 @t199))) % 63.86/64.79 (define @t247 () (or @t203 @t202 @t201 @t200 @t198 @t246 @t197)) % 63.86/64.79 (define @t248 () (not (= @t2 @t199))) % 63.86/64.79 (define @t249 () (and @t110 (tptp.segmentP @t196 @t2))) % 63.86/64.79 (define @t250 () (or @t248 @t141 @t202 @t201 @t249 @t198 @t248 @t197)) % 63.86/64.79 (define @t251 () (or @t141 @t202 @t201 @t249 @t198 @t248 @t197)) % 63.86/64.79 (define @t252 () (forall @t9 @t251)) % 63.86/64.79 (define @t253 () (forall @t205 @t252)) % 63.86/64.79 (define @t254 () (forall (@list @t196 @t195 @t2) @t251)) % 63.86/64.79 (define @t255 () (@list @t2 @t196 @t195)) % 63.86/64.79 (define @t256 () (or @t202 @t201 @t249 @t198 @t248 @t197)) % 63.86/64.79 (define @t257 () (or @t141 @t256)) % 63.86/64.79 (define @t258 () (forall @t255 @t257)) % 63.86/64.79 (define @t259 () (forall @t205 @t257)) % 63.86/64.79 (define @t260 () (forall @t205 @t256)) % 63.86/64.79 (define @t261 () (@var "BOUND_VARIABLE_11029" $$unsorted)) % 63.86/64.79 (define @t262 () (or @t141 @t260)) % 63.86/64.79 (define @t263 () (not (tptp.memberP @t1 @t261))) % 63.86/64.79 (define @t264 () (not (= @t2 (tptp.cons @t261 tptp.nil)))) % 63.86/64.79 (define @t265 () (not (tptp.ssItem @t261))) % 63.86/64.79 (define @t266 () (or @t155 @t108 @t111 @t265 @t264 @t263)) % 63.86/64.79 (define @t267 () (@list @t1 @t261)) % 63.86/64.79 (define @t268 () (or @t141 (forall @t267 @t266))) % 63.86/64.79 (define @t269 () (or @t265 @t264 @t263)) % 63.86/64.79 (define @t270 () (or @t155 @t108 @t111 @t269)) % 63.86/64.79 (define @t271 () (forall @t267 @t270)) % 63.86/64.79 (define @t272 () (@list @t261)) % 63.86/64.79 (define @t273 () (forall @t272 @t270)) % 63.86/64.79 (define @t274 () (forall @t272 @t269)) % 63.86/64.79 (define @t275 () (@var "BOUND_VARIABLE_10993" $$unsorted)) % 63.86/64.79 (define @t276 () (@list @t275)) % 63.86/64.79 (define @t277 () (or @t155 @t108 @t111 @t274)) % 63.86/64.79 (define @t278 () (not (tptp.memberP @t1 @t275))) % 63.86/64.79 (define @t279 () (tptp.cons @t275 tptp.nil)) % 63.86/64.79 (define @t280 () (not (= @t2 @t279))) % 63.86/64.79 (define @t281 () (not (tptp.ssItem @t275))) % 63.86/64.79 (define @t282 () (or @t281 @t280 @t278)) % 63.86/64.79 (define @t283 () (@list @t275)) % 63.86/64.79 (define @t284 () (forall @t283 @t282)) % 63.86/64.79 (define @t285 () (or @t155 @t108 @t111 @t284)) % 63.86/64.79 (define @t286 () (forall @t7 @t285)) % 63.86/64.79 (define @t287 () (or @t141 @t286)) % 63.86/64.79 (define @t288 () (or @t141 @t285)) % 63.86/64.79 (define @t289 () (or @t155 @t108 @t111 @t141 @t284)) % 63.86/64.79 (define @t290 () (or @t141 @t284)) % 63.86/64.79 (define @t291 () (or @t141 @t282)) % 63.86/64.79 (define @t292 () (or @t141 @t281 @t280 @t278)) % 63.86/64.79 (define @t293 () (not (= @t2 @t2))) % 63.86/64.79 (define @t294 () (or @t141 @t293 @t281 @t280 @t278)) % 63.86/64.79 (define @t295 () (not (= @t12 @t279))) % 63.86/64.79 (define @t296 () (or @t121 @t169 @t121 @t281 @t295 @t278)) % 63.86/64.79 (define @t297 () (or @t169 @t121 @t281 @t295 @t278)) % 63.86/64.79 (define @t298 () (forall @t20 @t297)) % 63.86/64.79 (define @t299 () (forall @t283 @t298)) % 63.86/64.79 (define @t300 () (forall (@list @t275 @t12) @t297)) % 63.86/64.79 (define @t301 () (@list @t12 @t275)) % 63.86/64.79 (define @t302 () (or @t281 @t295 @t278)) % 63.86/64.79 (define @t303 () (or @t169 @t121 @t302)) % 63.86/64.79 (define @t304 () (forall @t301 @t303)) % 63.86/64.79 (define @t305 () (forall @t283 @t303)) % 63.86/64.79 (define @t306 () (forall @t283 @t302)) % 63.86/64.79 (define @t307 () (@var "BOUND_VARIABLE_10945" $$unsorted)) % 63.86/64.79 (define @t308 () (@list @t307)) % 63.86/64.79 (define @t309 () (or @t169 @t121 @t306)) % 63.86/64.79 (define @t310 () (not (tptp.memberP @t1 @t307))) % 63.86/64.79 (define @t311 () (not (= @t12 (tptp.cons @t307 tptp.nil)))) % 63.86/64.79 (define @t312 () (not (tptp.ssItem @t307))) % 63.86/64.79 (define @t313 () (or @t312 @t311 @t310)) % 63.86/64.79 (define @t314 () (@list @t307)) % 63.86/64.79 (define @t315 () (forall @t314 @t313)) % 63.86/64.79 (define @t316 () (or @t169 @t121 @t315)) % 63.86/64.79 (define @t317 () (forall @t20 @t316)) % 63.86/64.79 (define @t318 () (or @t155 @t108 @t111 @t317)) % 63.86/64.79 (define @t319 () (or @t155 @t108 @t111 @t316)) % 63.86/64.79 (define @t320 () (or @t169 @t121 @t155 @t108 @t111 @t315)) % 63.86/64.79 (define @t321 () (or @t121 @t155 @t108 @t111 @t315)) % 63.86/64.79 (define @t322 () (or @t155 @t108 @t111 @t315)) % 63.86/64.79 (define @t323 () (or @t155 @t108 @t111 @t313)) % 63.86/64.79 (define @t324 () (or @t155 @t108 @t111 @t312 @t311 @t310)) % 63.86/64.79 (define @t325 () (or @t108 @t111 @t312 @t311 @t310)) % 63.86/64.79 (define @t326 () (and @t325 true)) % 63.86/64.79 (define @t327 () (or @t155 @t326)) % 63.86/64.79 (define @t328 () (and @t325 (or @t108 @t107))) % 63.86/64.79 (define @t329 () (or @t155 @t328)) % 63.86/64.79 (define @t330 () (not (= @t1 @t1))) % 63.86/64.79 (define @t331 () (or @t155 @t330 @t328)) % 63.86/64.79 (define @t332 () (not (tptp.memberP @t10 @t307))) % 63.86/64.79 (define @t333 () (or @t108 @t111 @t312 @t311 @t332)) % 63.86/64.79 (define @t334 () (and @t333 @t109)) % 63.86/64.79 (define @t335 () (or @t122 @t183 @t122 @t334)) % 63.86/64.79 (define @t336 () (or @t183 @t122 @t334)) % 63.86/64.79 (define @t337 () (forall @t16 @t336)) % 63.86/64.79 (define @t338 () (forall @t314 @t337)) % 63.86/64.79 (define @t339 () (forall (@list @t307 @t10) @t336)) % 63.86/64.79 (define @t340 () (@list @t10 @t307)) % 63.86/64.79 (define @t341 () (or @t312 @t311 @t332)) % 63.86/64.79 (define @t342 () (or @t108 @t341 @t111)) % 63.86/64.79 (define @t343 () (and @t342 @t109)) % 63.86/64.79 (define @t344 () (or @t183 @t122 @t343)) % 63.86/64.79 (define @t345 () (forall @t340 @t344)) % 63.86/64.79 (define @t346 () (forall @t314 @t344)) % 63.86/64.79 (define @t347 () (forall @t314 @t109)) % 63.86/64.79 (define @t348 () (forall @t314 @t341)) % 63.86/64.79 (define @t349 () (or @t108 @t348 @t111)) % 63.86/64.79 (define @t350 () (forall @t314 @t342)) % 63.86/64.79 (define @t351 () (and @t350 @t347)) % 63.86/64.79 (define @t352 () (forall @t314 @t343)) % 63.86/64.79 (define @t353 () (or @t183 @t122 @t352)) % 63.86/64.79 (define @t354 () (not (= @t12 @t113))) % 63.86/64.79 (define @t355 () (not @t116)) % 63.86/64.79 (define @t356 () (or @t355 @t354 @t112)) % 63.86/64.79 (define @t357 () (and (or @t108 (forall @t44 @t356) @t111) @t109)) % 63.86/64.79 (define @t358 () (or @t183 @t122 @t357)) % 63.86/64.79 (define @t359 () (forall @t16 @t358)) % 63.86/64.79 (define @t360 () (or @t121 @t359)) % 63.86/64.79 (define @t361 () (or @t121 @t358)) % 63.86/64.79 (define @t362 () (or @t183 @t122 @t121 @t357)) % 63.86/64.79 (define @t363 () (or @t122 @t121 @t357)) % 63.86/64.79 (define @t364 () (or @t354 @t112)) % 63.86/64.79 (define @t365 () (tptp.ssItem @t207)) % 63.86/64.79 (define @t366 () (tptp.memberP @t208 @t207)) % 63.86/64.79 (define @t367 () (not @t366)) % 63.86/64.79 (define @t368 () (not @t365)) % 63.86/64.79 (define @t369 () (tptp.segmentP @t208 @t213)) % 63.86/64.79 (define @t370 () (tptp.neq @t213 tptp.nil)) % 63.86/64.79 (define @t371 () (and @t370 @t369)) % 63.86/64.79 (define @t372 () (tptp.ssList @t208)) % 63.86/64.79 (define @t373 () (not @t372)) % 63.86/64.79 (define @t374 () (tptp.ssList @t213)) % 63.86/64.79 (define @t375 () (not @t374)) % 63.86/64.79 (define @t376 () (or @t375 @t373 (not (tptp.neq @t208 tptp.nil)) @t371 @t368 @t367)) % 63.86/64.79 (define @t377 () (@list true)) % 63.86/64.79 (define @t378 () (@list @t376)) % 63.86/64.79 (define @t379 () (not @t211)) % 63.86/64.79 (define @t380 () (= @t366 @t379)) % 63.86/64.79 (define @t381 () (or @t373 @t368 @t380)) % 63.86/64.79 (define @t382 () (@list false false false)) % 63.86/64.79 (define @t383 () (@list false false)) % 63.86/64.79 (define @t384 () (tptp.ssList @t212)) % 63.86/64.79 (define @t385 () (tptp.cons @t207 @t212)) % 63.86/64.79 (define @t386 () (@quantifiers_skolemize @t211 0)) % 63.86/64.79 (define @t387 () (tptp.app @t386 @t385)) % 63.86/64.79 (define @t388 () (= @t208 @t387)) % 63.86/64.79 (define @t389 () (not @t388)) % 63.86/64.79 (define @t390 () (not @t384)) % 63.86/64.79 (define @t391 () (tptp.ssList @t386)) % 63.86/64.79 (define @t392 () (not @t391)) % 63.86/64.79 (define @t393 () (or @t392 @t390 @t389)) % 63.86/64.79 (define @t394 () (@list @t393)) % 63.86/64.79 (define @t395 () (@list @t213)) % 63.86/64.79 (define @t396 () (tptp.segmentP @t213 @t213)) % 63.86/64.79 (define @t397 () (or @t375 @t396)) % 63.86/64.79 (define @t398 () (tptp.app tptp.nil @t213)) % 63.86/64.79 (define @t399 () (tptp.segmentP (tptp.app @t398 @t212) @t213)) % 63.86/64.79 (define @t400 () (not @t56)) % 63.86/64.79 (define @t401 () (not @t396)) % 63.86/64.79 (define @t402 () (or @t375 @t375 @t401 @t400 @t390 @t399)) % 63.86/64.79 (define @t403 () (= @t2 @t70)) % 63.86/64.79 (define @t404 () (= @t213 @t398)) % 63.86/64.79 (define @t405 () (or @t375 @t404)) % 63.86/64.79 (define @t406 () (tptp.app @t213 @t212)) % 63.86/64.79 (define @t407 () (@var "BOUND_VARIABLE_10528" $$unsorted)) % 63.86/64.79 (define @t408 () (= (tptp.cons @t407 @t2) (tptp.app (tptp.cons @t407 tptp.nil) @t2))) % 63.86/64.79 (define @t409 () (not (tptp.ssItem @t407))) % 63.86/64.79 (define @t410 () (or @t409 @t408)) % 63.86/64.79 (define @t411 () (or @t141 @t410)) % 63.86/64.79 (define @t412 () (forall (@list @t2 @t407) @t411)) % 63.86/64.79 (define @t413 () (@list @t407)) % 63.86/64.79 (define @t414 () (forall @t413 @t411)) % 63.86/64.79 (define @t415 () (forall @t413 @t410)) % 63.86/64.79 (define @t416 () (or @t141 @t415)) % 63.86/64.79 (define @t417 () (forall @t7 (or @t228 @t100))) % 63.86/64.79 (define @t418 () (@list @t212 @t207)) % 63.86/64.79 (define @t419 () (= @t385 @t406)) % 63.86/64.79 (define @t420 () (or @t390 @t368 @t419)) % 63.86/64.79 (define @t421 () (tptp.segmentP @t385 @t213)) % 63.86/64.79 (define @t422 () (@var "BOUND_VARIABLE_9104" $$unsorted)) % 63.86/64.79 (define @t423 () (= (tptp.neq @t2 @t422) (not (= @t2 @t422)))) % 63.86/64.79 (define @t424 () (not (tptp.ssList @t422))) % 63.86/64.79 (define @t425 () (or @t141 @t424 @t423)) % 63.86/64.79 (define @t426 () (or @t424 @t423)) % 63.86/64.79 (define @t427 () (or @t141 @t426)) % 63.86/64.79 (define @t428 () (@list @t2 @t422)) % 63.86/64.79 (define @t429 () (forall @t428 @t427)) % 63.86/64.79 (define @t430 () (@list @t422)) % 63.86/64.79 (define @t431 () (forall @t430 @t427)) % 63.86/64.79 (define @t432 () (forall @t430 @t426)) % 63.86/64.79 (define @t433 () (or @t141 @t432)) % 63.86/64.79 (define @t434 () (forall @t7 (or @t155 @t5))) % 63.86/64.79 (define @t435 () (not (= @t213 tptp.nil))) % 63.86/64.79 (define @t436 () (= @t370 @t435)) % 63.86/64.79 (define @t437 () (or @t375 @t400 @t436)) % 63.86/64.79 (define @t438 () (forall @t428 @t425)) % 63.86/64.79 (define @t439 () (= tptp.nil @t213)) % 63.86/64.79 (define @t440 () (not @t439)) % 63.86/64.79 (define @t441 () (= @t370 @t440)) % 63.86/64.79 (define @t442 () (or @t375 @t400 @t441)) % 63.86/64.79 (define @t443 () (@var "BOUND_VARIABLE_9148" $$unsorted)) % 63.86/64.79 (define @t444 () (not (= @t2 (tptp.cons @t443 @t2)))) % 63.86/64.79 (define @t445 () (not (tptp.ssItem @t443))) % 63.86/64.79 (define @t446 () (or @t445 @t444)) % 63.86/64.79 (define @t447 () (or @t141 @t446)) % 63.86/64.79 (define @t448 () (forall (@list @t2 @t443) @t447)) % 63.86/64.79 (define @t449 () (@list @t443)) % 63.86/64.79 (define @t450 () (forall @t449 @t447)) % 63.86/64.79 (define @t451 () (forall @t449 @t446)) % 63.86/64.79 (define @t452 () (or @t141 @t451)) % 63.86/64.79 (define @t453 () (not (= @t2 @t51))) % 63.86/64.79 (define @t454 () (forall @t7 (or @t228 @t453))) % 63.86/64.79 (define @t455 () (or @t400 @t368 @t440)) % 63.86/64.79 (define @t456 () (not @t441)) % 63.86/64.79 (define @t457 () (@list true false)) % 63.86/64.79 (define @t458 () (= @t2 @t104)) % 63.86/64.79 (define @t459 () (= @t208 (tptp.app @t208 tptp.nil))) % 63.86/64.79 (define @t460 () (or @t373 @t459)) % 63.86/64.79 (define @t461 () (tptp.app @t387 tptp.nil)) % 63.86/64.79 (define @t462 () (tptp.segmentP @t461 @t213)) % 63.86/64.79 (define @t463 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 63.86/64.79 (define @t464 () (tptp.ssList (tptp.cons @t463 @t2))) % 63.86/64.79 (define @t465 () (not (tptp.ssItem @t463))) % 63.86/64.79 (define @t466 () (or @t465 @t464)) % 63.86/64.79 (define @t467 () (or @t141 @t466)) % 63.86/64.79 (define @t468 () (forall (@list @t2 @t463) @t467)) % 63.86/64.79 (define @t469 () (@list @t463)) % 63.86/64.79 (define @t470 () (forall @t469 @t467)) % 63.86/64.79 (define @t471 () (forall @t469 @t466)) % 63.86/64.79 (define @t472 () (or @t141 @t471)) % 63.86/64.79 (define @t473 () (forall @t7 (or @t228 @t52))) % 63.86/64.79 (define @t474 () (tptp.ssList @t385)) % 63.86/64.79 (define @t475 () (or @t390 @t368 @t474)) % 63.86/64.79 (define @t476 () (not @t421)) % 63.86/64.79 (define @t477 () (not @t474)) % 63.86/64.79 (define @t478 () (or @t477 @t375 @t476 @t392 @t400 @t462)) % 63.86/64.79 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 63.86/64.79 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 63.86/64.79 (assume @p3 @t28) % 63.86/64.79 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 63.86/64.79 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 63.86/64.79 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 63.86/64.79 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 63.86/64.79 (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))))))))))))))))) % 63.86/64.79 (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)))))))))))))))) % 63.86/64.79 (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))))))))))))))))) % 63.86/64.79 (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))))))))))))))) % 63.86/64.79 (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))))))))))))))) % 63.86/64.79 (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)))))))))))))))) % 63.86/64.79 (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))))))))))))) % 63.86/64.79 (assume @p15 @t50) % 63.86/64.79 (assume @p16 @t55) % 63.86/64.79 (assume @p17 @t56) % 63.86/64.79 (assume @p18 @t61) % 63.86/64.79 (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))))))))))) % 63.86/64.79 (assume @p20 (forall @t9 (=> @t26 (or @t64 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t63 @t2))))))))) % 63.86/64.79 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 63.86/64.79 (assume @p22 (forall @t9 (=> @t26 (=> @t66 (tptp.ssItem @t65))))) % 63.86/64.79 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 63.86/64.79 (assume @p24 (forall @t9 (=> @t26 (=> @t66 (tptp.ssList @t67))))) % 63.86/64.79 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 63.86/64.79 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t68)))))) % 63.86/64.79 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t69) (tptp.app @t63 @t2))))))))) % 63.86/64.79 (assume @p28 @t72) % 63.86/64.79 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t74 @t73) @t3)))))) % 63.86/64.79 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t37) (tptp.leq @t2 @t12))))))))) % 63.86/64.79 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 63.86/64.79 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t73)))))) % 63.86/64.79 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not @t76))))))) % 63.86/64.79 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t77 @t46) @t78)))))))) % 63.86/64.79 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t76)))))) % 63.86/64.79 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t80))))))))) % 63.86/64.79 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t80))))))))) % 63.86/64.79 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 63.86/64.79 (assume @p39 (not (tptp.singletonP tptp.nil))) % 63.86/64.79 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 63.86/64.79 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 63.86/64.79 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 63.86/64.79 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 63.86/64.79 (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)))))))))))) % 63.86/64.79 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 63.86/64.79 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 63.86/64.79 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 63.86/64.79 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 63.86/64.79 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 63.86/64.79 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t81 @t1))))))))) % 63.86/64.79 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 63.86/64.79 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 63.86/64.79 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 63.86/64.79 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 @t82) @t3)))))) % 63.86/64.79 (assume @p55 @t84) % 63.86/64.79 (assume @p56 @t93) % 63.86/64.79 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 63.86/64.79 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 63.86/64.79 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t94)))) % 63.86/64.79 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 63.86/64.79 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t94)))) % 63.86/64.79 (assume @p62 (tptp.totalorderP tptp.nil)) % 63.86/64.79 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t94)))) % 63.86/64.79 (assume @p64 (tptp.strictorderP tptp.nil)) % 63.86/64.79 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t94)))) % 63.86/64.79 (assume @p66 (tptp.totalorderedP tptp.nil)) % 63.86/64.79 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t98) (or @t96 (and @t97 (tptp.totalorderedP @t1) (tptp.leq @t2 @t95))))))))) % 63.86/64.79 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t94)))) % 63.86/64.79 (assume @p69 (tptp.strictorderedP tptp.nil)) % 63.86/64.79 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t98) (or @t96 (and @t97 (tptp.strictorderedP @t1) (tptp.lt @t2 @t95))))))))) % 63.86/64.79 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t94)))) % 63.86/64.79 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 63.86/64.79 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t94)))) % 63.86/64.79 (assume @p74 (tptp.equalelemsP tptp.nil)) % 63.86/64.79 (assume @p75 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 63.86/64.79 (assume @p76 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t32 (= @t67 @t1))))))) % 63.86/64.79 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t97 @t66 (= @t95 @t65) (= (tptp.tl @t1) @t67)) @t62)))))) % 63.86/64.79 (assume @p78 (forall @t9 (=> @t26 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 63.86/64.79 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t68) @t99)))))))) % 63.86/64.79 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t69) @t99)))))))) % 63.86/64.79 (assume @p81 @t103) % 63.86/64.79 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t68 @t12) (tptp.app @t2 @t30))))))))) % 63.86/64.79 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t68) (and @t96 @t64))))))) % 63.86/64.79 (assume @p84 @t106) % 63.86/64.79 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.hd @t68) @t65))))))) % 63.86/64.79 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.tl @t68) (tptp.app @t67 @t1)))))))) % 63.86/64.79 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 (tptp.geq @t1 @t2)) @t3)))))) % 63.86/64.79 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t75 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 63.86/64.79 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 63.86/64.79 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 63.86/64.79 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t46) @t78)))))))) % 63.86/64.79 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (or @t3 @t77))))))) % 63.86/64.79 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 (and @t4 @t74))))))) % 63.86/64.79 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not (tptp.gt @t1 @t2)))))))) % 63.86/64.79 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t79 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 63.86/64.79 (assume @p96 @t132) % 63.86/64.79 (assume @p97 true) % 63.86/64.79 (step @p98 :rule evaluate :args ((= false true))) % 63.86/64.79 (step @p99 :rule aci_norm :args ((= @t143 (or @t141 @t140 @t139 @t138 @t137 @t136)))) % 63.86/64.79 (step @p100 :rule cong :premises (@p99) :args (@t144)) % 63.86/64.79 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t146) @t144))) % 63.86/64.79 (step @p102 :rule alpha_equiv :args (@t147 (@list @t133 @t135 @t134) (@list @t1 @t149 @t148))) % 63.86/64.79 (step @p103 :rule refl :args (@t141)) % 63.86/64.79 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t150)) % 63.86/64.79 (step @p105 :rule quant-miniscope-or :args ((= @t146 @t150))) % 63.86/64.79 (step @p106 :rule trans :premises (@p105 @p104)) % 63.86/64.79 (step @p107 :rule symm :premises (@p106)) % 63.86/64.79 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t141 @t158)))) % 63.86/64.79 (step @p109 :rule trans :premises (@p108 @p101)) % 63.86/64.79 (step @p110 :rule trans :premises (@p109 @p100)) % 63.86/64.79 (step @p111 :rule bool-impl-elim :args (@t26 @t158)) % 63.86/64.79 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t26 @t158)))) % 63.86/64.79 (step @p113 :rule trans :premises (@p112 @p110)) % 63.86/64.79 (step @p114 :rule aci_norm :args ((= @t160 @t156))) % 63.86/64.79 (step @p115 :rule cong :premises (@p114) :args (@t161)) % 63.86/64.79 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t163) @t161))) % 63.86/64.79 (step @p117 :rule alpha_equiv :args (@t164 (@list @t149 @t148) (@list @t12 @t165))) % 63.86/64.79 (step @p118 :rule refl :args (@t154)) % 63.86/64.79 (step @p119 :rule refl :args (@t155)) % 63.86/64.79 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t166)) % 63.86/64.79 (step @p121 :rule quant-miniscope-or :args ((= @t163 @t166))) % 63.86/64.79 (step @p122 :rule trans :premises (@p121 @p120)) % 63.86/64.79 (step @p123 :rule symm :premises (@p122)) % 63.86/64.79 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 @t173))) % 63.86/64.79 (step @p125 :rule trans :premises (@p124 @p116)) % 63.86/64.79 (step @p126 :rule trans :premises (@p125 @p115)) % 63.86/64.79 (step @p127 :rule aci_norm :args ((= (or @t155 @t174) @t173))) % 63.86/64.79 (step @p128 :rule bool-impl-elim :args (@t32 @t174)) % 63.86/64.79 (step @p129 :rule trans :premises (@p128 @p127)) % 63.86/64.79 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 (=> @t32 @t174)))) % 63.86/64.79 (step @p131 :rule trans :premises (@p130 @p126)) % 63.86/64.79 (step @p132 :rule aci_norm :args ((= @t176 @t170))) % 63.86/64.79 (step @p133 :rule cong :premises (@p132) :args (@t177)) % 63.86/64.79 (step @p134 :rule quant-merge-prenex :args ((= (forall @t20 @t179) @t177))) % 63.86/64.79 (step @p135 :rule alpha_equiv :args (@t180 (@list @t165) @t181)) % 63.86/64.79 (step @p136 :rule refl :args (@t169)) % 63.86/64.79 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t182)) % 63.86/64.79 (step @p138 :rule quant-miniscope-or :args ((= @t179 @t182))) % 63.86/64.79 (step @p139 :rule trans :premises (@p138 @p137)) % 63.86/64.79 (step @p140 :rule symm :premises (@p139)) % 63.86/64.79 (step @p141 :rule cong :premises (@p140) :args (@t187)) % 63.86/64.79 (step @p142 :rule trans :premises (@p141 @p134)) % 63.86/64.79 (step @p143 :rule trans :premises (@p142 @p133)) % 63.86/64.79 (step @p144 :rule refl :args (@t154)) % 63.86/64.79 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t188)) % 63.86/64.79 (step @p146 :rule quant-miniscope-or :args ((= (forall @t20 @t189) @t188))) % 63.86/64.79 (step @p147 :rule aci_norm :args ((= @t190 @t189))) % 63.86/64.79 (step @p148 :rule cong :premises (@p147) :args ((forall @t20 @t190))) % 63.86/64.79 (step @p149 :rule trans :premises (@p148 @p146)) % 63.86/64.79 (step @p150 :rule trans :premises (@p149 @p145)) % 63.86/64.79 (step @p151 :rule aci_norm :args ((= (or @t169 @t191) @t190))) % 63.86/64.79 (step @p152 :rule bool-impl-elim :args (@t18 @t191)) % 63.86/64.79 (step @p153 :rule trans :premises (@p152 @p151)) % 63.86/64.79 (step @p154 :rule cong :premises (@p153) :args ((forall @t20 (=> @t18 @t191)))) % 63.86/64.79 (step @p155 :rule trans :premises (@p154 @p150)) % 63.86/64.79 (step @p156 :rule quant-miniscope-or :args ((= (forall @t16 @t192) @t191))) % 63.86/64.79 (step @p157 :rule aci_norm :args ((= @t193 @t192))) % 63.86/64.79 (step @p158 :rule cong :premises (@p157) :args ((forall @t16 @t193))) % 63.86/64.79 (step @p159 :rule trans :premises (@p158 @p156)) % 63.86/64.79 (step @p160 :rule aci_norm :args ((= (or @t183 (or @t154 @t85)) @t193))) % 63.86/64.79 (step @p161 :rule bool-impl-elim :args (@t35 @t85)) % 63.86/64.79 (step @p162 :rule refl :args (@t183)) % 63.86/64.79 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t183 @t86))) % 63.86/64.79 (step @p164 :rule trans :premises (@p163 @p160)) % 63.86/64.79 (step @p165 :rule bool-impl-elim :args (@t14 @t86)) % 63.86/64.79 (step @p166 :rule trans :premises (@p165 @p164)) % 63.86/64.79 (step @p167 :rule cong :premises (@p166) :args (@t87)) % 63.86/64.79 (step @p168 :rule trans :premises (@p167 @p159)) % 63.86/64.79 (step @p169 :rule refl :args (@t18)) % 63.86/64.79 (step @p170 :rule cong :premises (@p169 @p168) :args (@t88)) % 63.86/64.79 (step @p171 :rule cong :premises (@p170) :args (@t89)) % 63.86/64.79 (step @p172 :rule trans :premises (@p171 @p155)) % 63.86/64.79 (step @p173 :rule refl :args (@t32)) % 63.86/64.79 (step @p174 :rule cong :premises (@p173 @p172) :args (@t90)) % 63.86/64.79 (step @p175 :rule cong :premises (@p174) :args (@t91)) % 63.86/64.79 (step @p176 :rule trans :premises (@p175 @p131)) % 63.86/64.79 (step @p177 :rule refl :args (@t26)) % 63.86/64.79 (step @p178 :rule cong :premises (@p177 @p176) :args (@t92)) % 63.86/64.79 (step @p179 :rule cong :premises (@p178) :args (@t93)) % 63.86/64.79 (step @p180 :rule trans :premises (@p179 @p113)) % 63.86/64.79 (step @p181 :rule eq_resolve :premises (@p56 @p180)) % 63.86/64.79 (step @p182 :rule instantiate :premises (@p181) :args ((@list @t213 @t213 tptp.nil @t212))) % 63.86/64.79 (step @p183 :rule aci_norm :args ((= @t218 (or @t141 @t216 @t215)))) % 63.86/64.79 (step @p184 :rule cong :premises (@p183) :args (@t219)) % 63.86/64.79 (step @p185 :rule quant-merge-prenex :args ((= (forall @t9 @t221) @t219))) % 63.86/64.79 (step @p186 :rule alpha_equiv :args (@t222 (@list @t214) @t223)) % 63.86/64.79 (step @p187 :rule nary_cong :premises (@p103 @p186) :args (@t224)) % 63.86/64.79 (step @p188 :rule quant-miniscope-or :args ((= @t221 @t224))) % 63.86/64.79 (step @p189 :rule trans :premises (@p188 @p187)) % 63.86/64.79 (step @p190 :rule symm :premises (@p189)) % 63.86/64.79 (step @p191 :rule cong :premises (@p190) :args ((forall @t9 (or @t141 @t229)))) % 63.86/64.79 (step @p192 :rule trans :premises (@p191 @p185)) % 63.86/64.79 (step @p193 :rule trans :premises (@p192 @p184)) % 63.86/64.79 (step @p194 :rule bool-impl-elim :args (@t26 @t229)) % 63.86/64.79 (step @p195 :rule cong :premises (@p194) :args ((forall @t9 (=> @t26 @t229)))) % 63.86/64.79 (step @p196 :rule trans :premises (@p195 @p193)) % 63.86/64.79 (step @p197 :rule bool-impl-elim :args (@t6 @t227)) % 63.86/64.79 (step @p198 :rule cong :premises (@p197) :args ((forall @t7 (=> @t6 @t227)))) % 63.86/64.79 (step @p199 :rule aci_norm :args ((= @t231 @t226))) % 63.86/64.79 (step @p200 :rule cong :premises (@p199) :args (@t232)) % 63.86/64.79 (step @p201 :rule quant-merge-prenex :args ((= (forall @t20 @t234) @t232))) % 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(@t388)) % 63.86/64.79 (step @p665 :rule nary_cong :premises (@p506 @p664) :args ((or @t393 (not @t389)))) % 63.86/64.79 (step @p666 :rule cnf_or_neg :args (@t393 2)) % 63.86/64.79 (step @p667 :rule eq_resolve :premises (@p666 @p665)) % 63.86/64.79 (step @p668 :rule reordering :premises (@p667) :args ((or @t388 @t393))) % 63.86/64.79 (step @p669 :rule chain_m_resolution :premises (@p668 @p504) :args (@t388 @t377 @t394)) % 63.86/64.79 (step @p670 :rule symm :premises (@p669)) % 63.86/64.79 (step @p671 :rule cong :premises (@p670 @p663) :args (@t461)) % 63.86/64.79 (step @p672 :rule trans :premises (@p671 @p662)) % 63.86/64.79 (step @p673 :rule cong :premises (@p672 @p530) :args (@t462)) % 63.86/64.79 (step @p674 :rule trans :premises (@p673 @p650)) % 63.86/64.79 (step @p675 :rule false_elim :premises (@p674)) % 63.86/64.79 (step @p676 :rule aci_norm :args ((= @t467 (or @t141 @t465 @t464)))) % 63.86/64.79 (step @p677 :rule cong :premises (@p676) :args (@t468)) % 63.86/64.79 (step @p678 :rule quant-merge-prenex :args ((= (forall @t9 @t470) @t468))) % 63.86/64.79 (step @p679 :rule alpha_equiv :args (@t471 (@list @t463) @t223)) % 63.86/64.79 (step @p680 :rule nary_cong :premises (@p103 @p679) :args (@t472)) % 63.86/64.79 (step @p681 :rule quant-miniscope-or :args ((= @t470 @t472))) % 63.86/64.79 (step @p682 :rule trans :premises (@p681 @p680)) % 63.86/64.79 (step @p683 :rule symm :premises (@p682)) % 63.86/64.79 (step @p684 :rule cong :premises (@p683) :args ((forall @t9 (or @t141 @t473)))) % 63.86/64.79 (step @p685 :rule trans :premises (@p684 @p678)) % 63.86/64.79 (step @p686 :rule trans :premises (@p685 @p677)) % 63.86/64.79 (step @p687 :rule bool-impl-elim :args (@t26 @t473)) % 63.86/64.79 (step @p688 :rule cong :premises (@p687) :args ((forall @t9 (=> @t26 @t473)))) % 63.86/64.79 (step @p689 :rule trans :premises (@p688 @p686)) % 63.86/64.79 (step @p690 :rule bool-impl-elim :args (@t6 @t52)) % 63.86/64.79 (step @p691 :rule cong :premises (@p690) :args (@t53)) % 63.86/64.79 (step @p692 :rule cong :premises (@p177 @p691) :args (@t54)) % 63.86/64.79 (step @p693 :rule cong :premises (@p692) :args (@t55)) % 63.86/64.79 (step @p694 :rule trans :premises (@p693 @p689)) % 63.86/64.79 (step @p695 :rule eq_resolve :premises (@p16 @p694)) % 63.86/64.79 (step @p696 :rule instantiate :premises (@p695) :args (@t418)) % 63.86/64.79 (step @p697 :rule cnf_or_pos :args (@t475)) % 63.86/64.79 (step @p698 :rule reordering :premises (@p697) :args ((or @t368 @t390 @t474 (not @t475)))) % 63.86/64.79 (step @p699 :rule chain_m_resolution :premises (@p698 @p485 @p511 @p696) :args (@t474 @t382 (@list @t365 @t384 @t475))) % 63.86/64.79 (step @p700 :rule bool-double-not-elim :args (@t391)) % 63.86/64.79 (step @p701 :rule nary_cong :premises (@p506 @p700) :args ((or @t393 (not @t392)))) % 63.86/64.79 (step @p702 :rule cnf_or_neg :args (@t393 0)) % 63.86/64.79 (step @p703 :rule eq_resolve :premises (@p702 @p701)) % 63.86/64.79 (step @p704 :rule reordering :premises (@p703) :args ((or @t391 @t393))) % 63.86/64.79 (step @p705 :rule chain_m_resolution :premises (@p704 @p504) :args (@t391 @t377 @t394)) % 63.86/64.79 (step @p706 :rule cnf_or_pos :args (@t478)) % 63.86/64.79 (step @p707 :rule reordering :premises (@p706) :args ((or @t400 @t375 @t392 @t477 @t476 @t462 (not @t478)))) % 63.86/64.79 (step @p708 :rule chain_m_resolution :premises (@p707 @p17 @p521 @p705 @p699 @p675 @p570) :args (@t476 (@list false false false false true false) (@list @t56 @t374 @t391 @t474 @t462 @t478))) % 63.86/64.79 (step @p709 :rule false_intro :premises (@p708)) % 63.86/64.79 (step @p710 :rule symm :premises (@p709)) % 63.86/64.79 (step @p711 :rule trans :premises (@p710 @p569 @p529)) % 63.86/64.79 (step @p712 false :rule eq_resolve :premises (@p711 @p98)) % 63.86/64.79 ) % 63.86/64.79 % SZS output end Proof % 63.86/64.79 % cvc5 exiting %------------------------------------------------------------------------------