%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC249+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:58:36 AM UTC 2026 % Result : Theorem 235.67s 235.92s % Output : Proof 235.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWC249+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:33:02 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.53 %----Proving TF0_NAR, FOF, or CNF % 235.67/235.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 235.67/235.92 --- Run --no-e-matching --full-saturate-quant at 6... % 235.67/235.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 235.67/235.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 235.67/235.92 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 235.67/235.92 --- Run --trigger-sel=max --full-saturate-quant at 15... % 235.67/235.92 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 235.67/235.92 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 235.67/235.92 --- Run --prenex-quant=none --full-saturate-quant at 30... % 235.67/235.92 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 235.67/235.92 --- Run --relevant-triggers --full-saturate-quant at 30... % 235.67/235.92 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 235.67/235.92 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 235.67/235.92 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 235.67/235.92 % SZS status Theorem % 235.67/235.92 % SZS output start Proof % 235.67/235.92 ( % 235.67/235.92 (declare-sort $$unsorted 0) % 235.67/235.92 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 235.67/235.92 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 235.67/235.92 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 235.67/235.92 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 235.67/235.92 (declare-const tptp.nil $$unsorted) % 235.67/235.92 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.ssList (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 235.67/235.92 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 235.67/235.92 (define @t1 () (@var "V" $$unsorted)) % 235.67/235.92 (define @t2 () (@var "U" $$unsorted)) % 235.67/235.92 (define @t3 () (= @t2 @t1)) % 235.67/235.92 (define @t4 () (not @t3)) % 235.67/235.92 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 235.67/235.92 (define @t6 () (tptp.ssItem @t1)) % 235.67/235.92 (define @t7 () (@list @t1)) % 235.67/235.92 (define @t8 () (tptp.ssItem @t2)) % 235.67/235.92 (define @t9 () (@list @t2)) % 235.67/235.92 (define @t10 () (@var "X" $$unsorted)) % 235.67/235.92 (define @t11 () (tptp.cons @t1 @t10)) % 235.67/235.92 (define @t12 () (@var "W" $$unsorted)) % 235.67/235.92 (define @t13 () (tptp.ssList @t10)) % 235.67/235.92 (define @t14 () (@list @t10)) % 235.67/235.92 (define @t15 () (tptp.ssList @t12)) % 235.67/235.92 (define @t16 () (@list @t12)) % 235.67/235.92 (define @t17 () (tptp.ssList @t2)) % 235.67/235.92 (define @t18 () (tptp.cons @t1 tptp.nil)) % 235.67/235.92 (define @t19 () (tptp.app @t1 @t12)) % 235.67/235.92 (define @t20 () (tptp.frontsegP @t2 @t1)) % 235.67/235.92 (define @t21 () (tptp.ssList @t1)) % 235.67/235.92 (define @t22 () (tptp.app @t12 @t1)) % 235.67/235.92 (define @t23 () (tptp.rearsegP @t2 @t1)) % 235.67/235.92 (define @t24 () (tptp.segmentP @t2 @t1)) % 235.67/235.92 (define @t25 () (tptp.leq @t12 @t1)) % 235.67/235.92 (define @t26 () (tptp.leq @t1 @t12)) % 235.67/235.92 (define @t27 () (@var "Z" $$unsorted)) % 235.67/235.92 (define @t28 () (@var "Y" $$unsorted)) % 235.67/235.92 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 235.67/235.92 (define @t30 () (tptp.ssList @t27)) % 235.67/235.92 (define @t31 () (@list @t27)) % 235.67/235.92 (define @t32 () (tptp.ssList @t28)) % 235.67/235.92 (define @t33 () (@list @t28)) % 235.67/235.92 (define @t34 () (tptp.ssItem @t12)) % 235.67/235.92 (define @t35 () (tptp.lt @t1 @t12)) % 235.67/235.92 (define @t36 () (tptp.strictorderedP @t2)) % 235.67/235.92 (define @t37 () (= @t1 @t12)) % 235.67/235.92 (define @t38 () (tptp.cons @t1 @t2)) % 235.67/235.92 (define @t39 () (tptp.ssList @t38)) % 235.67/235.92 (define @t40 () (forall @t7 (=> @t6 @t39))) % 235.67/235.92 (define @t41 () (=> @t17 @t40)) % 235.67/235.92 (define @t42 () (forall @t9 @t41)) % 235.67/235.92 (define @t43 () (tptp.ssList tptp.nil)) % 235.67/235.92 (define @t44 () (= @t1 @t2)) % 235.67/235.92 (define @t45 () (tptp.cons @t12 @t1)) % 235.67/235.92 (define @t46 () (and @t34 (= @t45 @t2))) % 235.67/235.92 (define @t47 () (exists @t16 @t46)) % 235.67/235.92 (define @t48 () (and @t21 @t47)) % 235.67/235.92 (define @t49 () (exists @t7 @t48)) % 235.67/235.92 (define @t50 () (= tptp.nil @t2)) % 235.67/235.92 (define @t51 () (or @t50 @t49)) % 235.67/235.92 (define @t52 () (=> @t17 @t51)) % 235.67/235.92 (define @t53 () (forall @t9 @t52)) % 235.67/235.92 (define @t54 () (tptp.hd @t2)) % 235.67/235.92 (define @t55 () (tptp.ssItem @t54)) % 235.67/235.92 (define @t56 () (not @t50)) % 235.67/235.92 (define @t57 () (=> @t56 @t55)) % 235.67/235.92 (define @t58 () (=> @t17 @t57)) % 235.67/235.92 (define @t59 () (forall @t9 @t58)) % 235.67/235.92 (define @t60 () (tptp.tl @t2)) % 235.67/235.92 (define @t61 () (tptp.tl @t38)) % 235.67/235.92 (define @t62 () (=> @t6 (= @t61 @t2))) % 235.67/235.92 (define @t63 () (forall @t7 @t62)) % 235.67/235.92 (define @t64 () (=> @t17 @t63)) % 235.67/235.92 (define @t65 () (forall @t9 @t64)) % 235.67/235.92 (define @t66 () (tptp.app @t2 @t1)) % 235.67/235.92 (define @t67 () (tptp.app @t1 @t2)) % 235.67/235.92 (define @t68 () (tptp.app tptp.nil @t2)) % 235.67/235.92 (define @t69 () (=> @t17 (= @t68 @t2))) % 235.67/235.92 (define @t70 () (forall @t9 @t69)) % 235.67/235.92 (define @t71 () (tptp.leq @t1 @t2)) % 235.67/235.92 (define @t72 () (tptp.leq @t2 @t1)) % 235.67/235.92 (define @t73 () (tptp.geq @t2 @t1)) % 235.67/235.92 (define @t74 () (tptp.lt @t1 @t2)) % 235.67/235.92 (define @t75 () (tptp.lt @t2 @t1)) % 235.67/235.92 (define @t76 () (tptp.lt @t2 @t12)) % 235.67/235.92 (define @t77 () (tptp.gt @t2 @t1)) % 235.67/235.92 (define @t78 () (tptp.memberP @t12 @t2)) % 235.67/235.92 (define @t79 () (tptp.frontsegP @t1 @t12)) % 235.67/235.92 (define @t80 () (tptp.frontsegP @t1 @t2)) % 235.67/235.92 (define @t81 () (tptp.app @t12 @t2)) % 235.67/235.92 (define @t82 () (tptp.cons @t2 tptp.nil)) % 235.67/235.92 (define @t83 () (tptp.hd @t1)) % 235.67/235.92 (define @t84 () (= tptp.nil @t1)) % 235.67/235.92 (define @t85 () (not @t84)) % 235.67/235.92 (define @t86 () (tptp.cons @t2 @t1)) % 235.67/235.92 (define @t87 () (tptp.cons @t54 @t60)) % 235.67/235.92 (define @t88 () (=> @t56 (= @t87 @t2))) % 235.67/235.92 (define @t89 () (=> @t17 @t88)) % 235.67/235.92 (define @t90 () (forall @t9 @t89)) % 235.67/235.92 (define @t91 () (= @t12 @t2)) % 235.67/235.92 (define @t92 () (= @t38 (tptp.app @t18 @t2))) % 235.67/235.92 (define @t93 () (forall @t7 (=> @t6 @t92))) % 235.67/235.92 (define @t94 () (=> @t17 @t93)) % 235.67/235.92 (define @t95 () (forall @t9 @t94)) % 235.67/235.92 (define @t96 () (= @t75 (and @t4 @t72))) % 235.67/235.92 (define @t97 () (forall @t7 (=> @t6 @t96))) % 235.67/235.92 (define @t98 () (=> @t8 @t97)) % 235.67/235.92 (define @t99 () (forall @t9 @t98)) % 235.67/235.92 (define @t100 () (@var "X3" $$unsorted)) % 235.67/235.92 (define @t101 () (tptp.leq @t27 @t100)) % 235.67/235.92 (define @t102 () (not (tptp.lt @t27 @t100))) % 235.67/235.92 (define @t103 () (@var "X2" $$unsorted)) % 235.67/235.92 (define @t104 () (not (tptp.memberP @t103 @t100))) % 235.67/235.92 (define @t105 () (@var "X1" $$unsorted)) % 235.67/235.92 (define @t106 () (not (tptp.memberP @t105 @t100))) % 235.67/235.92 (define @t107 () (or @t106 @t104 @t102 @t101)) % 235.67/235.92 (define @t108 () (tptp.ssItem @t100)) % 235.67/235.92 (define @t109 () (@list @t100)) % 235.67/235.92 (define @t110 () (forall @t109 (=> @t108 @t107))) % 235.67/235.92 (define @t111 () (tptp.cons @t27 tptp.nil)) % 235.67/235.92 (define @t112 () (tptp.app @t105 @t111)) % 235.67/235.92 (define @t113 () (tptp.app @t112 @t103)) % 235.67/235.92 (define @t114 () (tptp.ssList @t103)) % 235.67/235.92 (define @t115 () (and @t114 (= @t113 @t2) @t110)) % 235.67/235.92 (define @t116 () (@list @t103)) % 235.67/235.92 (define @t117 () (exists @t116 @t115)) % 235.67/235.92 (define @t118 () (tptp.ssList @t105)) % 235.67/235.92 (define @t119 () (and @t118 @t117)) % 235.67/235.92 (define @t120 () (@list @t105)) % 235.67/235.92 (define @t121 () (exists @t120 @t119)) % 235.67/235.92 (define @t122 () (tptp.ssItem @t27)) % 235.67/235.92 (define @t123 () (and @t122 @t121)) % 235.67/235.92 (define @t124 () (exists @t31 @t123)) % 235.67/235.92 (define @t125 () (tptp.strictorderedP @t28)) % 235.67/235.92 (define @t126 () (tptp.segmentP @t28 @t12)) % 235.67/235.92 (define @t127 () (tptp.frontsegP @t10 @t28)) % 235.67/235.92 (define @t128 () (tptp.neq @t12 @t28)) % 235.67/235.92 (define @t129 () (and @t32 @t128 @t127 @t126 @t125)) % 235.67/235.92 (define @t130 () (exists @t33 @t129)) % 235.67/235.92 (define @t131 () (not (tptp.strictorderedP @t12))) % 235.67/235.92 (define @t132 () (not (tptp.frontsegP @t10 @t12))) % 235.67/235.92 (define @t133 () (not (= @t2 @t12))) % 235.67/235.92 (define @t134 () (not (= @t1 @t10))) % 235.67/235.92 (define @t135 () (or @t134 @t133 @t132 @t131 @t50 @t130 @t124)) % 235.67/235.92 (define @t136 () (=> @t13 @t135)) % 235.67/235.92 (define @t137 () (forall @t14 @t136)) % 235.67/235.92 (define @t138 () (=> @t15 @t137)) % 235.67/235.92 (define @t139 () (forall @t16 @t138)) % 235.67/235.92 (define @t140 () (=> @t21 @t139)) % 235.67/235.92 (define @t141 () (forall @t7 @t140)) % 235.67/235.92 (define @t142 () (=> @t17 @t141)) % 235.67/235.92 (define @t143 () (forall @t9 @t142)) % 235.67/235.92 (define @t144 () (not @t143)) % 235.67/235.92 (define @t145 () (= @t2 tptp.nil)) % 235.67/235.92 (define @t146 () (not @t17)) % 235.67/235.92 (define @t147 () (or @t146 @t145 @t55)) % 235.67/235.92 (define @t148 () (not @t145)) % 235.67/235.92 (define @t149 () (not @t148)) % 235.67/235.92 (define @t150 () (=> @t148 @t55)) % 235.67/235.92 (define @t151 () (not @t125)) % 235.67/235.92 (define @t152 () (not (tptp.segmentP @t28 @t2))) % 235.67/235.92 (define @t153 () (@var "BOUND_VARIABLE_11087" $$unsorted)) % 235.67/235.92 (define @t154 () (not (tptp.neq @t2 @t28))) % 235.67/235.92 (define @t155 () (not @t32)) % 235.67/235.92 (define @t156 () (not (forall @t33 (or @t155 @t154 (not (tptp.frontsegP @t153 @t28)) @t152 @t151)))) % 235.67/235.92 (define @t157 () (not (tptp.frontsegP @t153 @t2))) % 235.67/235.92 (define @t158 () (not (tptp.ssList @t153))) % 235.67/235.92 (define @t159 () (not @t36)) % 235.67/235.92 (define @t160 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 235.67/235.92 (define @t161 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 235.67/235.92 (define @t162 () (not @t108)) % 235.67/235.92 (define @t163 () (not (forall @t109 (or @t162 (not (tptp.memberP @t161 @t100)) (not (tptp.memberP @t160 @t100)) @t102 @t101)))) % 235.67/235.92 (define @t164 () (tptp.app (tptp.app @t161 @t111) @t160)) % 235.67/235.92 (define @t165 () (not (= @t2 @t164))) % 235.67/235.92 (define @t166 () (not (tptp.ssList @t160))) % 235.67/235.92 (define @t167 () (not (tptp.ssList @t161))) % 235.67/235.92 (define @t168 () (not @t122)) % 235.67/235.92 (define @t169 () (or @t168 @t167 @t166 @t165 @t163)) % 235.67/235.92 (define @t170 () (@list @t27 @t161 @t160)) % 235.67/235.92 (define @t171 () (not (forall @t170 @t169))) % 235.67/235.92 (define @t172 () (or @t146 @t145 @t171 @t159 @t158 @t157 @t156)) % 235.67/235.92 (define @t173 () (@list @t2 @t153)) % 235.67/235.92 (define @t174 () (forall @t173 @t172)) % 235.67/235.92 (define @t175 () (@quantifiers_skolemize @t174 0)) % 235.67/235.92 (define @t176 () (tptp.hd @t175)) % 235.67/235.92 (define @t177 () (tptp.ssItem @t176)) % 235.67/235.92 (define @t178 () (tptp.ssList @t175)) % 235.67/235.92 (define @t179 () (not @t178)) % 235.67/235.92 (define @t180 () (= @t175 tptp.nil)) % 235.67/235.92 (define @t181 () (or @t179 @t180 @t177)) % 235.67/235.92 (define @t182 () (forall @t9 @t147)) % 235.67/235.92 (define @t183 () (@list @t175)) % 235.67/235.92 (define @t184 () (= tptp.nil @t175)) % 235.67/235.92 (define @t185 () (or @t179 @t184 @t177)) % 235.67/235.92 (define @t186 () (@list false)) % 235.67/235.92 (define @t187 () (or @t158 @t157 @t156)) % 235.67/235.92 (define @t188 () (or @t146 @t145 @t171 @t159 @t187)) % 235.67/235.92 (define @t189 () (forall @t173 @t188)) % 235.67/235.92 (define @t190 () (@list @t153)) % 235.67/235.92 (define @t191 () (forall @t190 @t188)) % 235.67/235.92 (define @t192 () (forall @t190 @t187)) % 235.67/235.92 (define @t193 () (@list @t1)) % 235.67/235.92 (define @t194 () (or @t146 @t145 @t171 @t159 @t192)) % 235.67/235.92 (define @t195 () (not (tptp.frontsegP @t1 @t28))) % 235.67/235.92 (define @t196 () (not (forall @t33 (or @t155 @t154 @t195 @t152 @t151)))) % 235.67/235.92 (define @t197 () (not @t80)) % 235.67/235.92 (define @t198 () (not @t21)) % 235.67/235.92 (define @t199 () (or @t198 @t197 @t196)) % 235.67/235.92 (define @t200 () (forall @t7 @t199)) % 235.67/235.92 (define @t201 () (or @t146 @t145 @t171 @t159 @t200)) % 235.67/235.92 (define @t202 () (or @t145 @t171 @t146 @t159 @t200)) % 235.67/235.92 (define @t203 () (or @t145 @t171 @t146 @t159 @t199)) % 235.67/235.92 (define @t204 () (or @t198 @t145 @t171 @t146 @t159 @t197 @t196)) % 235.67/235.92 (define @t205 () (or @t145 @t171 @t198 @t146 @t159 @t197 @t196)) % 235.67/235.92 (define @t206 () (or @t146 @t159 @t197 @t196)) % 235.67/235.92 (define @t207 () (not (= @t2 @t2))) % 235.67/235.92 (define @t208 () (or @t146 @t207 @t159 @t197 @t196)) % 235.67/235.92 (define @t209 () (not @t126)) % 235.67/235.92 (define @t210 () (not @t128)) % 235.67/235.92 (define @t211 () (not (forall @t33 (or @t155 @t210 @t195 @t209 @t151)))) % 235.67/235.92 (define @t212 () (not @t79)) % 235.67/235.92 (define @t213 () (not @t15)) % 235.67/235.92 (define @t214 () (or @t133 @t213 @t133 @t131 @t212 @t211)) % 235.67/235.92 (define @t215 () (or @t213 @t133 @t131 @t212 @t211)) % 235.67/235.92 (define @t216 () (forall @t16 @t215)) % 235.67/235.92 (define @t217 () (or @t145 @t171 @t198 @t216)) % 235.67/235.92 (define @t218 () (or @t145 @t171 @t198 @t215)) % 235.67/235.92 (define @t219 () (or @t213 @t133 @t131 @t145 @t171 @t198 @t212 @t211)) % 235.67/235.92 (define @t220 () (or @t133 @t131 @t145 @t171 @t198 @t212 @t211)) % 235.67/235.92 (define @t221 () (or @t198 @t212 @t211)) % 235.67/235.92 (define @t222 () (not (= @t1 @t1))) % 235.67/235.92 (define @t223 () (or @t198 @t222 @t212 @t211)) % 235.67/235.92 (define @t224 () (not @t127)) % 235.67/235.92 (define @t225 () (or @t155 @t210 @t224 @t209 @t151)) % 235.67/235.92 (define @t226 () (not (forall @t33 @t225))) % 235.67/235.92 (define @t227 () (not @t13)) % 235.67/235.92 (define @t228 () (or @t134 @t227 @t134 @t132 @t226)) % 235.67/235.92 (define @t229 () (or @t227 @t134 @t132 @t226)) % 235.67/235.92 (define @t230 () (forall @t14 @t229)) % 235.67/235.92 (define @t231 () (or @t133 @t131 @t145 @t171 @t230)) % 235.67/235.92 (define @t232 () (or @t133 @t131 @t145 @t171 @t229)) % 235.67/235.92 (define @t233 () (or @t227 @t134 @t133 @t132 @t131 @t145 @t226 @t171)) % 235.67/235.92 (define @t234 () (or @t134 @t133 @t132 @t131 @t145 @t226 @t171)) % 235.67/235.92 (define @t235 () (or @t167 @t166 @t165 @t163)) % 235.67/235.92 (define @t236 () (or @t168 @t235)) % 235.67/235.92 (define @t237 () (forall @t170 @t236)) % 235.67/235.92 (define @t238 () (@list @t161 @t160)) % 235.67/235.92 (define @t239 () (forall @t238 @t236)) % 235.67/235.92 (define @t240 () (forall @t238 @t235)) % 235.67/235.92 (define @t241 () (@var "BOUND_VARIABLE_10983" $$unsorted)) % 235.67/235.92 (define @t242 () (or @t168 @t240)) % 235.67/235.92 (define @t243 () (not (forall @t109 (or @t162 @t106 (not (tptp.memberP @t241 @t100)) @t102 @t101)))) % 235.67/235.92 (define @t244 () (not (= @t2 (tptp.app @t112 @t241)))) % 235.67/235.92 (define @t245 () (not (tptp.ssList @t241))) % 235.67/235.92 (define @t246 () (not @t118)) % 235.67/235.92 (define @t247 () (or @t246 @t245 @t244 @t243)) % 235.67/235.92 (define @t248 () (@list @t105 @t241)) % 235.67/235.92 (define @t249 () (forall @t248 @t247)) % 235.67/235.92 (define @t250 () (not @t249)) % 235.67/235.92 (define @t251 () (and @t122 @t250)) % 235.67/235.92 (define @t252 () (forall @t31 (not @t251))) % 235.67/235.92 (define @t253 () (not @t252)) % 235.67/235.92 (define @t254 () (or @t245 @t244 @t243)) % 235.67/235.92 (define @t255 () (or @t246 @t254)) % 235.67/235.92 (define @t256 () (forall @t248 @t255)) % 235.67/235.92 (define @t257 () (@list @t241)) % 235.67/235.92 (define @t258 () (forall @t257 @t255)) % 235.67/235.92 (define @t259 () (forall @t257 @t254)) % 235.67/235.92 (define @t260 () (or @t246 @t259)) % 235.67/235.92 (define @t261 () (or @t162 @t106 @t104 @t102 @t101)) % 235.67/235.92 (define @t262 () (forall @t109 @t261)) % 235.67/235.92 (define @t263 () (not @t262)) % 235.67/235.92 (define @t264 () (= @t2 @t113)) % 235.67/235.92 (define @t265 () (not @t264)) % 235.67/235.92 (define @t266 () (not @t114)) % 235.67/235.92 (define @t267 () (or @t266 @t265 @t263)) % 235.67/235.92 (define @t268 () (forall @t116 @t267)) % 235.67/235.92 (define @t269 () (not @t268)) % 235.67/235.92 (define @t270 () (and @t118 @t269)) % 235.67/235.92 (define @t271 () (forall @t120 (not @t270))) % 235.67/235.92 (define @t272 () (not @t271)) % 235.67/235.92 (define @t273 () (and @t114 @t264 @t262)) % 235.67/235.92 (define @t274 () (forall @t116 (not @t273))) % 235.67/235.92 (define @t275 () (not @t274)) % 235.67/235.92 (define @t276 () (forall @t33 (not @t129))) % 235.67/235.92 (define @t277 () (not @t276)) % 235.67/235.92 (define @t278 () (@quantifiers_skolemize @t174 1)) % 235.67/235.92 (define @t279 () (not (forall @t33 (or @t155 (not (tptp.neq @t175 @t28)) (not (tptp.frontsegP @t278 @t28)) (not (tptp.segmentP @t28 @t175)) @t151)))) % 235.67/235.92 (define @t280 () (not (tptp.frontsegP @t278 @t175))) % 235.67/235.92 (define @t281 () (not (tptp.ssList @t278))) % 235.67/235.92 (define @t282 () (not (tptp.strictorderedP @t175))) % 235.67/235.92 (define @t283 () (forall @t170 (or @t168 @t167 @t166 (not (= @t164 @t175)) @t163))) % 235.67/235.92 (define @t284 () (not @t283)) % 235.67/235.92 (define @t285 () (or @t179 @t184 @t284 @t282 @t281 @t280 @t279)) % 235.67/235.92 (define @t286 () (not @t285)) % 235.67/235.92 (define @t287 () (not @t174)) % 235.67/235.92 (define @t288 () (not (= @t175 @t164))) % 235.67/235.92 (define @t289 () (or @t168 @t167 @t166 @t288 @t163)) % 235.67/235.92 (define @t290 () (forall @t170 @t289)) % 235.67/235.92 (define @t291 () (not @t290)) % 235.67/235.92 (define @t292 () (or @t179 @t180 @t291 @t282 @t281 @t280 @t279)) % 235.67/235.92 (define @t293 () (not @t292)) % 235.67/235.92 (define @t294 () (@list true)) % 235.67/235.92 (define @t295 () (@list @t285)) % 235.67/235.92 (define @t296 () (@list false true false)) % 235.67/235.92 (define @t297 () (tptp.tl @t175)) % 235.67/235.92 (define @t298 () (forall @t109 (or @t162 (not (tptp.memberP tptp.nil @t100)) (not (tptp.memberP @t297 @t100)) (not (tptp.lt @t176 @t100)) (tptp.leq @t176 @t100)))) % 235.67/235.92 (define @t299 () (not @t298)) % 235.67/235.92 (define @t300 () (tptp.cons @t176 tptp.nil)) % 235.67/235.92 (define @t301 () (tptp.app tptp.nil @t300)) % 235.67/235.92 (define @t302 () (tptp.app @t301 @t297)) % 235.67/235.92 (define @t303 () (not (= @t302 @t175))) % 235.67/235.92 (define @t304 () (tptp.ssList @t297)) % 235.67/235.92 (define @t305 () (not @t304)) % 235.67/235.92 (define @t306 () (not @t43)) % 235.67/235.92 (define @t307 () (not @t177)) % 235.67/235.92 (define @t308 () (or @t307 @t306 @t305 @t303 @t299)) % 235.67/235.92 (define @t309 () (= @t175 @t302)) % 235.67/235.92 (define @t310 () (not @t309)) % 235.67/235.92 (define @t311 () (or @t307 @t306 @t305 @t310 @t299)) % 235.67/235.92 (define @t312 () (= @t2 @t68)) % 235.67/235.92 (define @t313 () (@var "BOUND_VARIABLE_9148" $$unsorted)) % 235.67/235.92 (define @t314 () (tptp.ssList (tptp.cons @t313 @t2))) % 235.67/235.92 (define @t315 () (not (tptp.ssItem @t313))) % 235.67/235.92 (define @t316 () (or @t315 @t314)) % 235.67/235.92 (define @t317 () (or @t146 @t316)) % 235.67/235.92 (define @t318 () (forall (@list @t2 @t313) @t317)) % 235.67/235.92 (define @t319 () (@list @t313)) % 235.67/235.92 (define @t320 () (forall @t319 @t317)) % 235.67/235.92 (define @t321 () (forall @t319 @t316)) % 235.67/235.92 (define @t322 () (or @t146 @t321)) % 235.67/235.92 (define @t323 () (not @t6)) % 235.67/235.92 (define @t324 () (forall @t7 (or @t323 @t39))) % 235.67/235.92 (define @t325 () (tptp.ssList @t300)) % 235.67/235.92 (define @t326 () (or @t306 @t307 @t325)) % 235.67/235.92 (define @t327 () (@list false false false)) % 235.67/235.92 (define @t328 () (= @t300 @t301)) % 235.67/235.92 (define @t329 () (not @t325)) % 235.67/235.92 (define @t330 () (or @t329 @t328)) % 235.67/235.92 (define @t331 () (tptp.app @t300 @t297)) % 235.67/235.92 (define @t332 () (@var "BOUND_VARIABLE_10551" $$unsorted)) % 235.67/235.92 (define @t333 () (= (tptp.cons @t332 @t2) (tptp.app (tptp.cons @t332 tptp.nil) @t2))) % 235.67/235.92 (define @t334 () (not (tptp.ssItem @t332))) % 235.67/235.92 (define @t335 () (or @t334 @t333)) % 235.67/235.92 (define @t336 () (or @t146 @t335)) % 235.67/235.92 (define @t337 () (forall (@list @t2 @t332) @t336)) % 235.67/235.92 (define @t338 () (@list @t332)) % 235.67/235.92 (define @t339 () (forall @t338 @t336)) % 235.67/235.92 (define @t340 () (forall @t338 @t335)) % 235.67/235.92 (define @t341 () (or @t146 @t340)) % 235.67/235.92 (define @t342 () (forall @t7 (or @t323 @t92))) % 235.67/235.92 (define @t343 () (@var "BOUND_VARIABLE_9285" $$unsorted)) % 235.67/235.92 (define @t344 () (tptp.cons @t343 @t1)) % 235.67/235.92 (define @t345 () (not (= @t2 @t344))) % 235.67/235.92 (define @t346 () (not (tptp.ssItem @t343))) % 235.67/235.92 (define @t347 () (or @t198 @t346 @t345)) % 235.67/235.92 (define @t348 () (@list @t1 @t343)) % 235.67/235.92 (define @t349 () (not (forall @t348 @t347))) % 235.67/235.92 (define @t350 () (or @t146 @t145 @t349)) % 235.67/235.92 (define @t351 () (or @t145 @t349)) % 235.67/235.92 (define @t352 () (or @t346 @t345)) % 235.67/235.92 (define @t353 () (or @t198 @t352)) % 235.67/235.92 (define @t354 () (forall @t348 @t353)) % 235.67/235.92 (define @t355 () (@list @t343)) % 235.67/235.92 (define @t356 () (forall @t355 @t353)) % 235.67/235.92 (define @t357 () (forall @t355 @t352)) % 235.67/235.92 (define @t358 () (or @t198 @t357)) % 235.67/235.92 (define @t359 () (= @t2 @t45)) % 235.67/235.92 (define @t360 () (forall @t16 (or (not @t34) (not @t359)))) % 235.67/235.92 (define @t361 () (not @t360)) % 235.67/235.92 (define @t362 () (and @t21 @t361)) % 235.67/235.92 (define @t363 () (forall @t7 (not @t362))) % 235.67/235.92 (define @t364 () (not @t363)) % 235.67/235.92 (define @t365 () (and @t34 @t359)) % 235.67/235.92 (define @t366 () (forall @t16 (not @t365))) % 235.67/235.92 (define @t367 () (not @t366)) % 235.67/235.92 (define @t368 () (not (= @t175 @t344))) % 235.67/235.92 (define @t369 () (or @t198 @t346 @t368)) % 235.67/235.92 (define @t370 () (forall @t348 @t369)) % 235.67/235.92 (define @t371 () (not @t370)) % 235.67/235.92 (define @t372 () (or @t179 @t180 @t371)) % 235.67/235.92 (define @t373 () (forall @t9 @t350)) % 235.67/235.92 (define @t374 () (forall @t348 (or @t198 @t346 (not (= @t344 @t175))))) % 235.67/235.92 (define @t375 () (not @t374)) % 235.67/235.92 (define @t376 () (or @t179 @t184 @t375)) % 235.67/235.92 (define @t377 () (@quantifiers_skolemize @t374 0)) % 235.67/235.92 (define @t378 () (@quantifiers_skolemize @t374 1)) % 235.67/235.92 (define @t379 () (tptp.cons @t378 @t377)) % 235.67/235.92 (define @t380 () (= @t175 @t379)) % 235.67/235.92 (define @t381 () (not @t380)) % 235.67/235.92 (define @t382 () (tptp.ssItem @t378)) % 235.67/235.92 (define @t383 () (not @t382)) % 235.67/235.92 (define @t384 () (tptp.ssList @t377)) % 235.67/235.92 (define @t385 () (not @t384)) % 235.67/235.92 (define @t386 () (or @t385 @t383 @t381)) % 235.67/235.92 (define @t387 () (not @t386)) % 235.67/235.92 (define @t388 () (not (= @t379 @t175))) % 235.67/235.92 (define @t389 () (or @t385 @t383 @t388)) % 235.67/235.92 (define @t390 () (not @t389)) % 235.67/235.92 (define @t391 () (@list @t386)) % 235.67/235.92 (define @t392 () (@var "BOUND_VARIABLE_9372" $$unsorted)) % 235.67/235.92 (define @t393 () (= @t2 (tptp.tl (tptp.cons @t392 @t2)))) % 235.67/235.92 (define @t394 () (not (tptp.ssItem @t392))) % 235.67/235.92 (define @t395 () (or @t394 @t393)) % 235.67/235.92 (define @t396 () (or @t146 @t395)) % 235.67/235.92 (define @t397 () (forall (@list @t2 @t392) @t396)) % 235.67/235.92 (define @t398 () (@list @t392)) % 235.67/235.92 (define @t399 () (forall @t398 @t396)) % 235.67/235.92 (define @t400 () (forall @t398 @t395)) % 235.67/235.92 (define @t401 () (or @t146 @t400)) % 235.67/235.92 (define @t402 () (= @t2 @t61)) % 235.67/235.92 (define @t403 () (forall @t7 (or @t323 @t402))) % 235.67/235.92 (define @t404 () (= @t377 (tptp.tl @t379))) % 235.67/235.92 (define @t405 () (or @t385 @t383 @t404)) % 235.67/235.92 (define @t406 () (tptp.cons @t176 @t297)) % 235.67/235.92 (define @t407 () (= @t406 @t331)) % 235.67/235.92 (define @t408 () (or @t305 @t307 @t407)) % 235.67/235.92 (define @t409 () (= @t2 @t87)) % 235.67/235.92 (define @t410 () (or @t146 @t145 @t409)) % 235.67/235.92 (define @t411 () (=> @t148 @t409)) % 235.67/235.92 (define @t412 () (= @t175 @t406)) % 235.67/235.92 (define @t413 () (or @t179 @t180 @t412)) % 235.67/235.92 (define @t414 () (forall @t9 @t410)) % 235.67/235.92 (define @t415 () (or @t179 @t184 @t412)) % 235.67/235.92 (define @t416 () (@quantifiers_skolemize @t298 0)) % 235.67/235.92 (define @t417 () (tptp.ssItem @t416)) % 235.67/235.92 (define @t418 () (tptp.leq @t176 @t416)) % 235.67/235.92 (define @t419 () (tptp.lt @t176 @t416)) % 235.67/235.92 (define @t420 () (not @t419)) % 235.67/235.92 (define @t421 () (not @t417)) % 235.67/235.92 (define @t422 () (or @t421 (not (tptp.memberP tptp.nil @t416)) (not (tptp.memberP @t297 @t416)) @t420 @t418)) % 235.67/235.92 (define @t423 () (@list @t422)) % 235.67/235.92 (define @t424 () (@var "BOUND_VARIABLE_10860" $$unsorted)) % 235.67/235.92 (define @t425 () (= (tptp.lt @t2 @t424) (and (not (= @t2 @t424)) (tptp.leq @t2 @t424)))) % 235.67/235.92 (define @t426 () (not (tptp.ssItem @t424))) % 235.67/235.92 (define @t427 () (not @t8)) % 235.67/235.92 (define @t428 () (or @t426 @t425)) % 235.67/235.92 (define @t429 () (or @t427 @t428)) % 235.67/235.92 (define @t430 () (forall (@list @t2 @t424) @t429)) % 235.67/235.92 (define @t431 () (@list @t424)) % 235.67/235.92 (define @t432 () (forall @t431 @t429)) % 235.67/235.92 (define @t433 () (forall @t431 @t428)) % 235.67/235.92 (define @t434 () (or @t427 @t433)) % 235.67/235.92 (define @t435 () (forall @t7 (or @t323 @t96))) % 235.67/235.92 (define @t436 () (and (not (= @t176 @t416)) @t418)) % 235.67/235.92 (define @t437 () (not @t436)) % 235.67/235.92 (define @t438 () (= @t419 @t436)) % 235.67/235.92 (define @t439 () (not @t438)) % 235.67/235.92 (define @t440 () (or @t307 @t421 @t438)) % 235.67/235.92 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 235.67/235.92 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 235.67/235.92 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 235.67/235.92 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 235.67/235.92 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 235.67/235.92 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 235.67/235.92 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 235.67/235.92 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 235.67/235.92 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 235.67/235.92 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 235.67/235.92 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 235.67/235.92 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 235.67/235.92 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t37)))))))))))))))) % 235.67/235.92 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t37))))))))))))) % 235.67/235.92 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 235.67/235.92 (assume @p16 @t42) % 235.67/235.92 (assume @p17 @t43) % 235.67/235.92 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 235.67/235.92 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t44))))))))))) % 235.67/235.92 (assume @p20 @t53) % 235.67/235.92 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 235.67/235.92 (assume @p22 @t59) % 235.67/235.92 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 235.67/235.92 (assume @p24 (forall @t9 (=> @t17 (=> @t56 (tptp.ssList @t60))))) % 235.67/235.92 (assume @p25 @t65) % 235.67/235.92 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t66)))))) % 235.67/235.92 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t67) (tptp.app @t45 @t2))))))))) % 235.67/235.92 (assume @p28 @t70) % 235.67/235.92 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t72 @t71) @t3)))))) % 235.67/235.92 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 @t26) (tptp.leq @t2 @t12))))))))) % 235.67/235.92 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 235.67/235.92 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t73 @t71)))))) % 235.67/235.92 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t75 (not @t74))))))) % 235.67/235.92 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t75 @t35) @t76)))))))) % 235.67/235.92 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 @t74)))))) % 235.67/235.92 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t78))))))))) % 235.67/235.92 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t78))))))))) % 235.67/235.92 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 235.67/235.92 (assume @p39 (not (tptp.singletonP tptp.nil))) % 235.67/235.92 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 @t79) (tptp.frontsegP @t2 @t12))))))))) % 235.67/235.92 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 @t80) @t3)))))) % 235.67/235.92 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 235.67/235.92 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 235.67/235.92 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 235.67/235.92 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 235.67/235.92 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50)))) % 235.67/235.92 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 235.67/235.92 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 235.67/235.92 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 235.67/235.92 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t81 @t1))))))))) % 235.67/235.92 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 235.67/235.92 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50)))) % 235.67/235.92 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 235.67/235.92 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 235.67/235.92 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 235.67/235.92 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t81 @t10) @t1))))))))))) % 235.67/235.92 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 235.67/235.92 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t50)))) % 235.67/235.92 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t82)))) % 235.67/235.92 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 235.67/235.92 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t82)))) % 235.67/235.92 (assume @p62 (tptp.totalorderP tptp.nil)) % 235.67/235.92 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t82)))) % 235.67/235.92 (assume @p64 (tptp.strictorderP tptp.nil)) % 235.67/235.92 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t82)))) % 235.67/235.92 (assume @p66 (tptp.totalorderedP tptp.nil)) % 235.67/235.92 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t86) (or @t84 (and @t85 (tptp.totalorderedP @t1) (tptp.leq @t2 @t83))))))))) % 235.67/235.92 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t82)))) % 235.67/235.92 (assume @p69 (tptp.strictorderedP tptp.nil)) % 235.67/235.92 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t86) (or @t84 (and @t85 (tptp.strictorderedP @t1) (tptp.lt @t2 @t83))))))))) % 235.67/235.92 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t82)))) % 235.67/235.92 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 235.67/235.92 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t82)))) % 235.67/235.92 (assume @p74 (tptp.equalelemsP tptp.nil)) % 235.67/235.92 (assume @p75 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t6 (= @t54 @t1))))))) % 235.67/235.92 (assume @p76 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t21 (= @t60 @t1))))))) % 235.67/235.92 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t85 @t56 (= @t83 @t54) (= (tptp.tl @t1) @t60)) @t44)))))) % 235.67/235.92 (assume @p78 @t90) % 235.67/235.92 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t66) @t91)))))))) % 235.67/235.92 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t67) @t91)))))))) % 235.67/235.92 (assume @p81 @t95) % 235.67/235.92 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t66 @t12) (tptp.app @t2 @t19))))))))) % 235.67/235.92 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t66) (and @t84 @t50))))))) % 235.67/235.92 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 235.67/235.92 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t56 (= (tptp.hd @t66) @t54))))))) % 235.67/235.92 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t56 (= (tptp.tl @t66) (tptp.app @t60 @t1)))))))) % 235.67/235.92 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t73 (tptp.geq @t1 @t2)) @t3)))))) % 235.67/235.92 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t73 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 235.67/235.92 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 235.67/235.92 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 235.67/235.92 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 @t35) @t76)))))))) % 235.67/235.92 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (or @t3 @t75))))))) % 235.67/235.92 (assume @p93 @t99) % 235.67/235.92 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not (tptp.gt @t1 @t2)))))))) % 235.67/235.92 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 235.67/235.92 (assume @p96 @t144) % 235.67/235.92 (assume @p97 true) % 235.67/235.92 (step @p98 :rule aci_norm :args ((= (or @t146 (or @t145 @t55)) @t147))) % 235.67/235.92 (step @p99 :rule refl :args (@t55)) % 235.67/235.92 (step @p100 :rule bool-double-not-elim :args (@t145)) % 235.67/235.92 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t149 @t55))) % 235.67/235.92 (step @p102 :rule bool-impl-elim :args (@t148 @t55)) % 235.67/235.92 (step @p103 :rule trans :premises (@p102 @p101)) % 235.67/235.92 (step @p104 :rule refl :args (@t146)) % 235.67/235.92 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t146 @t150))) % 235.67/235.92 (step @p106 :rule trans :premises (@p105 @p98)) % 235.67/235.92 (step @p107 :rule bool-impl-elim :args (@t17 @t150)) % 235.67/235.92 (step @p108 :rule trans :premises (@p107 @p106)) % 235.67/235.92 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t150)))) % 235.67/235.92 (step @p110 :rule refl :args (@t55)) % 235.67/235.92 (step @p111 :rule eq-symm :args (tptp.nil @t2)) % 235.67/235.92 (step @p112 :rule cong :premises (@p111) :args (@t56)) % 235.67/235.92 (step @p113 :rule cong :premises (@p112 @p110) :args (@t57)) % 235.67/235.92 (step @p114 :rule refl :args (@t17)) % 235.67/235.92 (step @p115 :rule cong :premises (@p114 @p113) :args (@t58)) % 235.67/235.92 (step @p116 :rule cong :premises (@p115) :args (@t59)) % 235.67/235.92 (step @p117 :rule trans :premises (@p116 @p109)) % 235.67/235.92 (step @p118 :rule eq_resolve :premises (@p22 @p117)) % 235.67/235.92 (step @p119 :rule refl :args (@t177)) % 235.67/235.92 (step @p120 :rule eq-symm :args (@t175 tptp.nil)) % 235.67/235.92 (step @p121 :rule refl :args (@t179)) % 235.67/235.92 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t181)) % 235.67/235.92 (step @p123 :rule refl :args (@t182)) % 235.67/235.92 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t182 @t181))) % 235.67/235.92 (assume-push @p687 @t182) % 235.67/235.92 (step @p126 :rule instantiate :premises (@p118) :args (@t183)) % 235.67/235.92 (step-pop @p688 :rule scope :premises (@p126)) % 235.67/235.92 (step @p127 :rule process_scope :premises (@p688) :args (@t181)) % 235.67/235.92 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 235.67/235.92 (step @p130 :rule implies_elim :premises (@p129)) % 235.67/235.92 (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t185 @t186 (@list @t182))) % 235.67/235.92 (step @p132 :rule aci_norm :args ((= @t188 @t172))) % 235.67/235.92 (step @p133 :rule cong :premises (@p132) :args (@t189)) % 235.67/235.92 (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t191) @t189))) % 235.67/235.92 (step @p135 :rule alpha_equiv :args (@t192 (@list @t153) @t193)) % 235.67/235.92 (step @p136 :rule refl :args (@t159)) % 235.67/235.92 (step @p137 :rule refl :args (@t171)) % 235.67/235.92 (step @p138 :rule refl :args (@t145)) % 235.67/235.92 (step @p139 :rule nary_cong :premises (@p104 @p138 @p137 @p136 @p135) :args (@t194)) % 235.67/235.92 (step @p140 :rule quant-miniscope-or :args ((= @t191 @t194))) % 235.67/235.92 (step @p141 :rule trans :premises (@p140 @p139)) % 235.67/235.92 (step @p142 :rule symm :premises (@p141)) % 235.67/235.92 (step @p143 :rule cong :premises (@p142) :args ((forall @t9 @t201))) % 235.67/235.92 (step @p144 :rule trans :premises (@p143 @p134)) % 235.67/235.92 (step @p145 :rule trans :premises (@p144 @p133)) % 235.67/235.92 (step @p146 :rule aci_norm :args ((= (or @t146 @t202) @t201))) % 235.67/235.92 (step @p147 :rule bool-impl-elim :args (@t17 @t202)) % 235.67/235.92 (step @p148 :rule trans :premises (@p147 @p146)) % 235.67/235.92 (step @p149 :rule cong :premises (@p148) :args ((forall @t9 (=> @t17 @t202)))) % 235.67/235.92 (step @p150 :rule trans :premises (@p149 @p145)) % 235.67/235.92 (step @p151 :rule quant-miniscope-or :args ((= (forall @t7 @t203) @t202))) % 235.67/235.92 (step @p152 :rule aci_norm :args ((= @t204 @t203))) % 235.67/235.92 (step @p153 :rule cong :premises (@p152) :args ((forall @t7 @t204))) % 235.67/235.92 (step @p154 :rule trans :premises (@p153 @p151)) % 235.67/235.92 (step @p155 :rule aci_norm :args ((= (or @t198 @t205) @t204))) % 235.67/235.92 (step @p156 :rule bool-impl-elim :args (@t21 @t205)) % 235.67/235.92 (step @p157 :rule trans :premises (@p156 @p155)) % 235.67/235.92 (step @p158 :rule cong :premises (@p157) :args ((forall @t7 (=> @t21 @t205)))) % 235.67/235.92 (step @p159 :rule trans :premises (@p158 @p154)) % 235.67/235.92 (step @p160 :rule aci_norm :args ((= (or @t145 @t171 @t198 @t206) @t205))) % 235.67/235.92 (step @p161 :rule aci_norm :args ((= (or @t146 false @t159 @t197 @t196) @t206))) % 235.67/235.92 (step @p162 :rule refl :args (@t196)) % 235.67/235.92 (step @p163 :rule refl :args (@t197)) % 235.67/235.92 (step @p164 :rule refl :args (@t159)) % 235.67/235.92 (step @p165 :rule evaluate :args ((not true))) % 235.67/235.92 (step @p166 :rule eq-refl :args (@t2)) % 235.67/235.92 (step @p167 :rule cong :premises (@p166) :args (@t207)) % 235.67/235.92 (step @p168 :rule trans :premises (@p167 @p165)) % 235.67/235.92 (step @p169 :rule refl :args (@t146)) % 235.67/235.92 (step @p170 :rule nary_cong :premises (@p169 @p168 @p164 @p163 @p162) :args (@t208)) % 235.67/235.92 (step @p171 :rule trans :premises (@p170 @p161)) % 235.67/235.92 (step @p172 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t91) @t213 @t133 @t131 @t212 @t211)) @t208))) % 235.67/235.92 (step @p173 :rule refl :args (@t211)) % 235.67/235.92 (step @p174 :rule refl :args (@t212)) % 235.67/235.92 (step @p175 :rule refl :args (@t131)) % 235.67/235.92 (step @p176 :rule refl :args (@t133)) % 235.67/235.92 (step @p177 :rule refl :args (@t213)) % 235.67/235.92 (step @p178 :rule eq-symm :args (@t2 @t12)) % 235.67/235.92 (step @p179 :rule cong :premises (@p178) :args (@t133)) % 235.67/235.92 (step @p180 :rule nary_cong :premises (@p179 @p177 @p176 @p175 @p174 @p173) :args (@t214)) % 235.67/235.92 (step @p181 :rule aci_norm :args ((= @t215 @t214))) % 235.67/235.92 (step @p182 :rule trans :premises (@p181 @p180)) % 235.67/235.92 (step @p183 :rule cong :premises (@p182) :args (@t216)) % 235.67/235.92 (step @p184 :rule trans :premises (@p183 @p172)) % 235.67/235.92 (step @p185 :rule trans :premises (@p184 @p171)) % 235.67/235.92 (step @p186 :rule refl :args (@t198)) % 235.67/235.92 (step @p187 :rule refl :args (@t171)) % 235.67/235.92 (step @p188 :rule refl :args (@t145)) % 235.67/235.92 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186 @p185) :args (@t217)) % 235.67/235.92 (step @p190 :rule trans :premises (@p189 @p160)) % 235.67/235.92 (step @p191 :rule quant-miniscope-or 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:args ((@list @t176 @t416))) % 235.67/235.93 (step @p670 :rule cnf_or_neg :args (@t422 4)) % 235.67/235.93 (step @p671 :rule chain_m_resolution :premises (@p670 @p639) :args ((not @t418) @t294 @t423)) % 235.67/235.93 (step @p672 :rule cnf_and_pos :args (@t436 1)) % 235.67/235.93 (step @p673 :rule reordering :premises (@p672) :args ((or @t418 @t437))) % 235.67/235.93 (step @p674 :rule chain_m_resolution :premises (@p673 @p671) :args (@t437 @t294 (@list @t418))) % 235.67/235.93 (step @p675 :rule bool-double-not-elim :args (@t419)) % 235.67/235.93 (step @p676 :rule nary_cong :premises (@p641 @p675) :args ((or @t422 (not @t420)))) % 235.67/235.93 (step @p677 :rule cnf_or_neg :args (@t422 3)) % 235.67/235.93 (step @p678 :rule eq_resolve :premises (@p677 @p676)) % 235.67/235.93 (step @p679 :rule reordering :premises (@p678) :args ((or @t419 @t422))) % 235.67/235.93 (step @p680 :rule chain_m_resolution :premises (@p679 @p639) :args (@t419 @t294 @t423)) % 235.67/235.93 (step @p681 :rule cnf_equiv_pos1 :args (@t438)) % 235.67/235.93 (step @p682 :rule reordering :premises (@p681) :args ((or @t420 @t436 @t439))) % 235.67/235.93 (step @p683 :rule chain_m_resolution :premises (@p682 @p680 @p674) :args (@t439 (@list false true) (@list @t419 @t436))) % 235.67/235.93 (step @p684 :rule cnf_or_pos :args (@t440)) % 235.67/235.93 (step @p685 :rule reordering :premises (@p684) :args ((or @t307 @t421 @t438 (not @t440)))) % 235.67/235.93 (step @p686 false :rule chain_m_resolution :premises (@p685 @p683 @p669 @p646 @p385) :args (false (@list true false false false) (@list @t438 @t440 @t417 @t177))) % 235.67/235.93 ) % 235.67/235.93 % SZS output end Proof % 235.67/235.93 % cvc5 exiting %------------------------------------------------------------------------------