%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC214+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 08:58:29 AM UTC 2026 % Result : Theorem 234.75s 234.91s % Output : Proof 234.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC214+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:25:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 234.75/234.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 234.75/234.91 --- Run --no-e-matching --full-saturate-quant at 6... % 234.75/234.91 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 234.75/234.91 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 234.75/234.91 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 234.75/234.91 --- Run --trigger-sel=max --full-saturate-quant at 15... % 234.75/234.91 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 234.75/234.91 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 234.75/234.91 --- Run --prenex-quant=none --full-saturate-quant at 30... % 234.75/234.91 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 234.75/234.91 --- Run --relevant-triggers --full-saturate-quant at 30... % 234.75/234.91 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 234.75/234.91 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 234.75/234.91 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 234.75/234.91 % SZS status Theorem % 234.75/234.91 % SZS output start Proof % 234.75/234.91 ( % 234.75/234.91 (declare-sort $$unsorted 0) % 234.75/234.91 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 234.75/234.91 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 234.75/234.91 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 234.75/234.91 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 234.75/234.91 (declare-const tptp.nil $$unsorted) % 234.75/234.91 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.ssList (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 234.75/234.91 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 234.75/234.91 (define @t1 () (@var "V" $$unsorted)) % 234.75/234.91 (define @t2 () (@var "U" $$unsorted)) % 234.75/234.91 (define @t3 () (= @t2 @t1)) % 234.75/234.91 (define @t4 () (not @t3)) % 234.75/234.91 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 234.75/234.91 (define @t6 () (tptp.ssItem @t1)) % 234.75/234.91 (define @t7 () (@list @t1)) % 234.75/234.91 (define @t8 () (tptp.ssItem @t2)) % 234.75/234.91 (define @t9 () (@list @t2)) % 234.75/234.91 (define @t10 () (@var "X" $$unsorted)) % 234.75/234.91 (define @t11 () (tptp.cons @t1 @t10)) % 234.75/234.91 (define @t12 () (@var "W" $$unsorted)) % 234.75/234.91 (define @t13 () (tptp.ssList @t10)) % 234.75/234.91 (define @t14 () (@list @t10)) % 234.75/234.91 (define @t15 () (tptp.ssList @t12)) % 234.75/234.91 (define @t16 () (@list @t12)) % 234.75/234.91 (define @t17 () (tptp.ssList @t2)) % 234.75/234.91 (define @t18 () (tptp.cons @t1 tptp.nil)) % 234.75/234.91 (define @t19 () (and @t6 (= @t18 @t2))) % 234.75/234.91 (define @t20 () (exists @t7 @t19)) % 234.75/234.91 (define @t21 () (tptp.singletonP @t2)) % 234.75/234.91 (define @t22 () (= @t21 @t20)) % 234.75/234.91 (define @t23 () (=> @t17 @t22)) % 234.75/234.91 (define @t24 () (forall @t9 @t23)) % 234.75/234.91 (define @t25 () (tptp.app @t1 @t12)) % 234.75/234.91 (define @t26 () (tptp.frontsegP @t2 @t1)) % 234.75/234.91 (define @t27 () (tptp.ssList @t1)) % 234.75/234.91 (define @t28 () (tptp.app @t12 @t1)) % 234.75/234.91 (define @t29 () (tptp.rearsegP @t2 @t1)) % 234.75/234.91 (define @t30 () (tptp.segmentP @t2 @t1)) % 234.75/234.91 (define @t31 () (tptp.leq @t12 @t1)) % 234.75/234.91 (define @t32 () (tptp.leq @t1 @t12)) % 234.75/234.91 (define @t33 () (@var "Z" $$unsorted)) % 234.75/234.91 (define @t34 () (@var "Y" $$unsorted)) % 234.75/234.91 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 234.75/234.91 (define @t36 () (tptp.ssList @t33)) % 234.75/234.91 (define @t37 () (@list @t33)) % 234.75/234.91 (define @t38 () (tptp.ssList @t34)) % 234.75/234.91 (define @t39 () (@list @t34)) % 234.75/234.91 (define @t40 () (tptp.ssItem @t12)) % 234.75/234.91 (define @t41 () (tptp.lt @t1 @t12)) % 234.75/234.91 (define @t42 () (tptp.strictorderedP @t2)) % 234.75/234.91 (define @t43 () (= @t1 @t12)) % 234.75/234.91 (define @t44 () (forall @t7 (=> @t27 @t5))) % 234.75/234.91 (define @t45 () (=> @t17 @t44)) % 234.75/234.91 (define @t46 () (forall @t9 @t45)) % 234.75/234.91 (define @t47 () (tptp.cons @t1 @t2)) % 234.75/234.91 (define @t48 () (tptp.ssList @t47)) % 234.75/234.91 (define @t49 () (forall @t7 (=> @t6 @t48))) % 234.75/234.91 (define @t50 () (=> @t17 @t49)) % 234.75/234.91 (define @t51 () (forall @t9 @t50)) % 234.75/234.91 (define @t52 () (tptp.ssList tptp.nil)) % 234.75/234.91 (define @t53 () (= @t1 @t2)) % 234.75/234.91 (define @t54 () (tptp.cons @t12 @t1)) % 234.75/234.91 (define @t55 () (and @t40 (= @t54 @t2))) % 234.75/234.91 (define @t56 () (exists @t16 @t55)) % 234.75/234.91 (define @t57 () (and @t27 @t56)) % 234.75/234.91 (define @t58 () (exists @t7 @t57)) % 234.75/234.91 (define @t59 () (= tptp.nil @t2)) % 234.75/234.91 (define @t60 () (or @t59 @t58)) % 234.75/234.91 (define @t61 () (=> @t17 @t60)) % 234.75/234.91 (define @t62 () (forall @t9 @t61)) % 234.75/234.91 (define @t63 () (tptp.hd @t2)) % 234.75/234.91 (define @t64 () (tptp.ssItem @t63)) % 234.75/234.91 (define @t65 () (not @t59)) % 234.75/234.91 (define @t66 () (=> @t65 @t64)) % 234.75/234.91 (define @t67 () (=> @t17 @t66)) % 234.75/234.91 (define @t68 () (forall @t9 @t67)) % 234.75/234.91 (define @t69 () (tptp.tl @t2)) % 234.75/234.91 (define @t70 () (tptp.tl @t47)) % 234.75/234.91 (define @t71 () (=> @t6 (= @t70 @t2))) % 234.75/234.91 (define @t72 () (forall @t7 @t71)) % 234.75/234.91 (define @t73 () (=> @t17 @t72)) % 234.75/234.91 (define @t74 () (forall @t9 @t73)) % 234.75/234.91 (define @t75 () (tptp.app @t2 @t1)) % 234.75/234.91 (define @t76 () (tptp.app @t1 @t2)) % 234.75/234.91 (define @t77 () (tptp.leq @t1 @t2)) % 234.75/234.91 (define @t78 () (tptp.leq @t2 @t1)) % 234.75/234.91 (define @t79 () (tptp.geq @t2 @t1)) % 234.75/234.91 (define @t80 () (tptp.lt @t1 @t2)) % 234.75/234.91 (define @t81 () (tptp.lt @t2 @t1)) % 234.75/234.91 (define @t82 () (tptp.lt @t2 @t12)) % 234.75/234.91 (define @t83 () (tptp.gt @t2 @t1)) % 234.75/234.91 (define @t84 () (tptp.memberP @t12 @t2)) % 234.75/234.91 (define @t85 () (tptp.singletonP tptp.nil)) % 234.75/234.91 (define @t86 () (tptp.frontsegP @t1 @t12)) % 234.75/234.91 (define @t87 () (tptp.frontsegP @t1 @t2)) % 234.75/234.91 (define @t88 () (tptp.cons @t2 @t12)) % 234.75/234.91 (define @t89 () (= (tptp.frontsegP @t88 @t11) (and @t3 (tptp.frontsegP @t12 @t10)))) % 234.75/234.91 (define @t90 () (forall @t14 (=> @t13 @t89))) % 234.75/234.91 (define @t91 () (=> @t15 @t90)) % 234.75/234.91 (define @t92 () (forall @t16 @t91)) % 234.75/234.91 (define @t93 () (=> @t6 @t92)) % 234.75/234.91 (define @t94 () (forall @t7 @t93)) % 234.75/234.91 (define @t95 () (=> @t8 @t94)) % 234.75/234.91 (define @t96 () (forall @t9 @t95)) % 234.75/234.91 (define @t97 () (tptp.frontsegP @t2 tptp.nil)) % 234.75/234.91 (define @t98 () (forall @t9 (=> @t17 @t97))) % 234.75/234.91 (define @t99 () (tptp.app @t12 @t2)) % 234.75/234.91 (define @t100 () (tptp.segmentP @t2 @t2)) % 234.75/234.91 (define @t101 () (forall @t9 (=> @t17 @t100))) % 234.75/234.91 (define @t102 () (tptp.segmentP (tptp.app @t99 @t10) @t1)) % 234.75/234.91 (define @t103 () (=> @t30 @t102)) % 234.75/234.91 (define @t104 () (forall @t14 (=> @t13 @t103))) % 234.75/234.91 (define @t105 () (=> @t15 @t104)) % 234.75/234.91 (define @t106 () (forall @t16 @t105)) % 234.75/234.91 (define @t107 () (=> @t27 @t106)) % 234.75/234.91 (define @t108 () (forall @t7 @t107)) % 234.75/234.91 (define @t109 () (=> @t17 @t108)) % 234.75/234.91 (define @t110 () (forall @t9 @t109)) % 234.75/234.91 (define @t111 () (tptp.cons @t2 tptp.nil)) % 234.75/234.91 (define @t112 () (tptp.hd @t1)) % 234.75/234.91 (define @t113 () (= tptp.nil @t1)) % 234.75/234.91 (define @t114 () (not @t113)) % 234.75/234.91 (define @t115 () (tptp.cons @t2 @t1)) % 234.75/234.91 (define @t116 () (tptp.strictorderedP @t111)) % 234.75/234.91 (define @t117 () (forall @t9 (=> @t8 @t116))) % 234.75/234.91 (define @t118 () (tptp.cons @t63 @t69)) % 234.75/234.91 (define @t119 () (=> @t65 (= @t118 @t2))) % 234.75/234.91 (define @t120 () (=> @t17 @t119)) % 234.75/234.91 (define @t121 () (forall @t9 @t120)) % 234.75/234.91 (define @t122 () (= @t12 @t2)) % 234.75/234.91 (define @t123 () (= @t47 (tptp.app @t18 @t2))) % 234.75/234.91 (define @t124 () (forall @t7 (=> @t6 @t123))) % 234.75/234.91 (define @t125 () (=> @t17 @t124)) % 234.75/234.91 (define @t126 () (forall @t9 @t125)) % 234.75/234.91 (define @t127 () (tptp.neq @t2 tptp.nil)) % 234.75/234.91 (define @t128 () (tptp.strictorderedP @t34)) % 234.75/234.91 (define @t129 () (tptp.segmentP @t34 @t12)) % 234.75/234.91 (define @t130 () (tptp.frontsegP @t10 @t34)) % 234.75/234.91 (define @t131 () (tptp.neq @t12 @t34)) % 234.75/234.91 (define @t132 () (and @t38 @t131 @t130 @t129 @t128)) % 234.75/234.91 (define @t133 () (exists @t39 @t132)) % 234.75/234.91 (define @t134 () (not (tptp.strictorderedP @t12))) % 234.75/234.91 (define @t135 () (not (tptp.frontsegP @t10 @t12))) % 234.75/234.91 (define @t136 () (not (tptp.neq @t1 tptp.nil))) % 234.75/234.91 (define @t137 () (not (= @t2 @t12))) % 234.75/234.91 (define @t138 () (not (= @t1 @t10))) % 234.75/234.91 (define @t139 () (or @t138 @t137 @t136 @t135 @t134 @t133 @t127)) % 234.75/234.91 (define @t140 () (=> @t13 @t139)) % 234.75/234.91 (define @t141 () (forall @t14 @t140)) % 234.75/234.91 (define @t142 () (=> @t15 @t141)) % 234.75/234.91 (define @t143 () (forall @t16 @t142)) % 234.75/234.91 (define @t144 () (=> @t27 @t143)) % 234.75/234.91 (define @t145 () (forall @t7 @t144)) % 234.75/234.91 (define @t146 () (=> @t17 @t145)) % 234.75/234.91 (define @t147 () (forall @t9 @t146)) % 234.75/234.91 (define @t148 () (not @t147)) % 234.75/234.91 (define @t149 () (not @t128)) % 234.75/234.91 (define @t150 () (not (tptp.segmentP @t34 @t2))) % 234.75/234.91 (define @t151 () (@var "BOUND_VARIABLE_10984" $$unsorted)) % 234.75/234.91 (define @t152 () (not (tptp.neq @t2 @t34))) % 234.75/234.91 (define @t153 () (not @t38)) % 234.75/234.91 (define @t154 () (not (forall @t39 (or @t153 @t152 (not (tptp.frontsegP @t151 @t34)) @t150 @t149)))) % 234.75/234.91 (define @t155 () (not (tptp.frontsegP @t151 @t2))) % 234.75/234.91 (define @t156 () (not (tptp.neq @t151 tptp.nil))) % 234.75/234.91 (define @t157 () (not (tptp.ssList @t151))) % 234.75/234.91 (define @t158 () (not @t42)) % 234.75/234.91 (define @t159 () (not @t17)) % 234.75/234.91 (define @t160 () (or @t159 @t127 @t158 @t157 @t156 @t155 @t154)) % 234.75/234.91 (define @t161 () (or @t157 @t156 @t155 @t154)) % 234.75/234.91 (define @t162 () (or @t159 @t127 @t158 @t161)) % 234.75/234.91 (define @t163 () (@list @t2 @t151)) % 234.75/234.91 (define @t164 () (forall @t163 @t162)) % 234.75/234.91 (define @t165 () (@list @t151)) % 234.75/234.91 (define @t166 () (forall @t165 @t162)) % 234.75/234.91 (define @t167 () (forall @t165 @t161)) % 234.75/234.91 (define @t168 () (@list @t1)) % 234.75/234.91 (define @t169 () (or @t159 @t127 @t158 @t167)) % 234.75/234.91 (define @t170 () (not (tptp.frontsegP @t1 @t34))) % 234.75/234.91 (define @t171 () (not (forall @t39 (or @t153 @t152 @t170 @t150 @t149)))) % 234.75/234.91 (define @t172 () (not @t87)) % 234.75/234.91 (define @t173 () (not @t27)) % 234.75/234.91 (define @t174 () (or @t173 @t136 @t172 @t171)) % 234.75/234.91 (define @t175 () (forall @t7 @t174)) % 234.75/234.91 (define @t176 () (or @t159 @t127 @t158 @t175)) % 234.75/234.91 (define @t177 () (or @t127 @t159 @t158 @t175)) % 234.75/234.91 (define @t178 () (or @t127 @t159 @t158 @t174)) % 234.75/234.91 (define @t179 () (or @t173 @t136 @t127 @t159 @t158 @t172 @t171)) % 234.75/234.91 (define @t180 () (or @t136 @t127 @t173 @t159 @t158 @t172 @t171)) % 234.75/234.91 (define @t181 () (or @t159 @t158 @t172 @t171)) % 234.75/234.91 (define @t182 () (not (= @t2 @t2))) % 234.75/234.91 (define @t183 () (or @t159 @t182 @t158 @t172 @t171)) % 234.75/234.91 (define @t184 () (not @t129)) % 234.75/234.91 (define @t185 () (not @t131)) % 234.75/234.91 (define @t186 () (not (forall @t39 (or @t153 @t185 @t170 @t184 @t149)))) % 234.75/234.91 (define @t187 () (not @t86)) % 234.75/234.91 (define @t188 () (not @t15)) % 234.75/234.91 (define @t189 () (or @t137 @t188 @t137 @t134 @t187 @t186)) % 234.75/234.91 (define @t190 () (or @t188 @t137 @t134 @t187 @t186)) % 234.75/234.91 (define @t191 () (forall @t16 @t190)) % 234.75/234.91 (define @t192 () (or @t136 @t127 @t173 @t191)) % 234.75/234.91 (define @t193 () (or @t136 @t127 @t173 @t190)) % 234.75/234.91 (define @t194 () (or @t188 @t137 @t136 @t134 @t127 @t173 @t187 @t186)) % 234.75/234.91 (define @t195 () (or @t137 @t136 @t134 @t127 @t173 @t187 @t186)) % 234.75/234.91 (define @t196 () (or @t173 @t187 @t186)) % 234.75/234.91 (define @t197 () (not (= @t1 @t1))) % 234.75/234.91 (define @t198 () (or @t173 @t197 @t187 @t186)) % 234.75/234.91 (define @t199 () (not @t130)) % 234.75/234.91 (define @t200 () (or @t153 @t185 @t199 @t184 @t149)) % 234.75/234.91 (define @t201 () (not (forall @t39 @t200))) % 234.75/234.91 (define @t202 () (not @t13)) % 234.75/234.91 (define @t203 () (or @t138 @t202 @t138 @t135 @t201)) % 234.75/234.91 (define @t204 () (or @t202 @t138 @t135 @t201)) % 234.75/234.91 (define @t205 () (forall @t14 @t204)) % 234.75/234.91 (define @t206 () (or @t137 @t136 @t134 @t127 @t205)) % 234.75/234.91 (define @t207 () (or @t137 @t136 @t134 @t127 @t204)) % 234.75/234.91 (define @t208 () (or @t202 @t138 @t137 @t136 @t135 @t134 @t201 @t127)) % 234.75/234.91 (define @t209 () (or @t138 @t137 @t136 @t135 @t134 @t201 @t127)) % 234.75/234.91 (define @t210 () (forall @t39 (not @t132))) % 234.75/234.91 (define @t211 () (not @t210)) % 234.75/234.91 (define @t212 () (forall @t163 @t160)) % 234.75/234.91 (define @t213 () (@quantifiers_skolemize @t212 0)) % 234.75/234.91 (define @t214 () (tptp.ssList @t213)) % 234.75/234.91 (define @t215 () (@quantifiers_skolemize @t212 1)) % 234.75/234.91 (define @t216 () (forall @t39 (or @t153 (not (tptp.neq @t213 @t34)) (not (tptp.frontsegP @t215 @t34)) (not (tptp.segmentP @t34 @t213)) @t149))) % 234.75/234.91 (define @t217 () (not @t216)) % 234.75/234.91 (define @t218 () (tptp.neq @t215 tptp.nil)) % 234.75/234.91 (define @t219 () (not @t218)) % 234.75/234.91 (define @t220 () (tptp.ssList @t215)) % 234.75/234.91 (define @t221 () (not @t220)) % 234.75/234.91 (define @t222 () (tptp.neq @t213 tptp.nil)) % 234.75/234.91 (define @t223 () (not @t214)) % 234.75/234.91 (define @t224 () (or @t223 @t222 (not (tptp.strictorderedP @t213)) @t221 @t219 (not (tptp.frontsegP @t215 @t213)) @t217)) % 234.75/234.91 (define @t225 () (@list true)) % 234.75/234.91 (define @t226 () (@list @t224)) % 234.75/234.91 (define @t227 () (@var "BOUND_VARIABLE_9121" $$unsorted)) % 234.75/234.91 (define @t228 () (tptp.ssList (tptp.cons @t227 @t2))) % 234.75/234.91 (define @t229 () (not (tptp.ssItem @t227))) % 234.75/234.91 (define @t230 () (or @t229 @t228)) % 234.75/234.91 (define @t231 () (or @t159 @t230)) % 234.75/234.91 (define @t232 () (forall (@list @t2 @t227) @t231)) % 234.75/234.91 (define @t233 () (@list @t227)) % 234.75/234.91 (define @t234 () (forall @t233 @t231)) % 234.75/234.91 (define @t235 () (forall @t233 @t230)) % 234.75/234.91 (define @t236 () (or @t159 @t235)) % 234.75/234.91 (define @t237 () (not @t6)) % 234.75/234.91 (define @t238 () (forall @t7 (or @t237 @t48))) % 234.75/234.91 (define @t239 () (tptp.hd @t215)) % 234.75/234.91 (define @t240 () (@list tptp.nil @t239)) % 234.75/234.91 (define @t241 () (= @t2 tptp.nil)) % 234.75/234.91 (define @t242 () (or @t159 @t241 @t64)) % 234.75/234.91 (define @t243 () (not @t241)) % 234.75/234.91 (define @t244 () (not @t243)) % 234.75/234.91 (define @t245 () (=> @t243 @t64)) % 234.75/234.91 (define @t246 () (tptp.ssItem @t239)) % 234.75/234.91 (define @t247 () (= @t215 tptp.nil)) % 234.75/234.91 (define @t248 () (or @t221 @t247 @t246)) % 234.75/234.91 (define @t249 () (forall @t9 @t242)) % 234.75/234.91 (define @t250 () (@list @t215)) % 234.75/234.91 (define @t251 () (= tptp.nil @t215)) % 234.75/234.91 (define @t252 () (or @t221 @t251 @t246)) % 234.75/234.91 (define @t253 () (@list false)) % 234.75/234.91 (define @t254 () (@var "BOUND_VARIABLE_9100" $$unsorted)) % 234.75/234.91 (define @t255 () (= (tptp.neq @t2 @t254) (not (= @t2 @t254)))) % 234.75/234.91 (define @t256 () (not (tptp.ssList @t254))) % 234.75/234.91 (define @t257 () (or @t159 @t256 @t255)) % 234.75/234.91 (define @t258 () (or @t256 @t255)) % 234.75/234.91 (define @t259 () (or @t159 @t258)) % 234.75/234.91 (define @t260 () (@list @t2 @t254)) % 234.75/234.91 (define @t261 () (forall @t260 @t259)) % 234.75/234.91 (define @t262 () (@list @t254)) % 234.75/234.91 (define @t263 () (forall @t262 @t259)) % 234.75/234.91 (define @t264 () (forall @t262 @t258)) % 234.75/234.91 (define @t265 () (or @t159 @t264)) % 234.75/234.91 (define @t266 () (forall @t7 (or @t173 @t5))) % 234.75/234.91 (define @t267 () (not @t247)) % 234.75/234.91 (define @t268 () (= @t218 @t267)) % 234.75/234.91 (define @t269 () (not @t52)) % 234.75/234.91 (define @t270 () (or @t221 @t269 @t268)) % 234.75/234.91 (define @t271 () (forall @t260 @t257)) % 234.75/234.91 (define @t272 () (not @t251)) % 234.75/234.91 (define @t273 () (= @t218 @t272)) % 234.75/234.91 (define @t274 () (or @t221 @t269 @t273)) % 234.75/234.91 (define @t275 () (@list @t271)) % 234.75/234.91 (define @t276 () (@list false false false)) % 234.75/234.91 (define @t277 () (@list false false)) % 234.75/234.91 (define @t278 () (@list false true false)) % 234.75/234.91 (define @t279 () (tptp.cons @t239 tptp.nil)) % 234.75/234.91 (define @t280 () (tptp.ssList @t279)) % 234.75/234.91 (define @t281 () (not @t246)) % 234.75/234.91 (define @t282 () (or @t269 @t281 @t280)) % 234.75/234.91 (define @t283 () (@var "BOUND_VARIABLE_10199" $$unsorted)) % 234.75/234.91 (define @t284 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 234.75/234.91 (define @t285 () (@var "BOUND_VARIABLE_10201" $$unsorted)) % 234.75/234.91 (define @t286 () (tptp.segmentP (tptp.app (tptp.app @t285 @t2) @t284) @t283)) % 234.75/234.91 (define @t287 () (not (tptp.ssList @t284))) % 234.75/234.91 (define @t288 () (not (tptp.ssList @t285))) % 234.75/234.91 (define @t289 () (not (tptp.segmentP @t2 @t283))) % 234.75/234.91 (define @t290 () (not (tptp.ssList @t283))) % 234.75/234.91 (define @t291 () (or @t290 @t289 @t288 @t287 @t286)) % 234.75/234.91 (define @t292 () (or @t159 @t291)) % 234.75/234.91 (define @t293 () (forall (@list @t2 @t283 @t285 @t284) @t292)) % 234.75/234.91 (define @t294 () (@list @t283 @t285 @t284)) % 234.75/234.91 (define @t295 () (forall @t294 @t292)) % 234.75/234.91 (define @t296 () (forall @t294 @t291)) % 234.75/234.91 (define @t297 () (@var "BOUND_VARIABLE_10180" $$unsorted)) % 234.75/234.91 (define @t298 () (@var "BOUND_VARIABLE_10178" $$unsorted)) % 234.75/234.91 (define @t299 () (or @t159 @t296)) % 234.75/234.91 (define @t300 () (tptp.segmentP (tptp.app (tptp.app @t298 @t2) @t297) @t1)) % 234.75/234.91 (define @t301 () (not (tptp.ssList @t297))) % 234.75/234.91 (define @t302 () (not (tptp.ssList @t298))) % 234.75/234.91 (define @t303 () (not @t30)) % 234.75/234.91 (define @t304 () (or @t173 @t303 @t302 @t301 @t300)) % 234.75/234.91 (define @t305 () (@list @t1 @t298 @t297)) % 234.75/234.91 (define @t306 () (forall @t305 @t304)) % 234.75/234.91 (define @t307 () (or @t302 @t301 @t300)) % 234.75/234.91 (define @t308 () (or @t173 @t303 @t307)) % 234.75/234.91 (define @t309 () (forall @t305 @t308)) % 234.75/234.91 (define @t310 () (@list @t298 @t297)) % 234.75/234.91 (define @t311 () (forall @t310 @t308)) % 234.75/234.91 (define @t312 () (forall @t310 @t307)) % 234.75/234.91 (define @t313 () (@var "BOUND_VARIABLE_10161" $$unsorted)) % 234.75/234.91 (define @t314 () (or @t173 @t303 @t312)) % 234.75/234.91 (define @t315 () (tptp.segmentP (tptp.app @t99 @t313) @t1)) % 234.75/234.91 (define @t316 () (not (tptp.ssList @t313))) % 234.75/234.91 (define @t317 () (or @t188 @t316 @t315)) % 234.75/234.91 (define @t318 () (@list @t12 @t313)) % 234.75/234.91 (define @t319 () (forall @t318 @t317)) % 234.75/234.91 (define @t320 () (or @t173 @t303 @t319)) % 234.75/234.91 (define @t321 () (or @t303 @t319)) % 234.75/234.91 (define @t322 () (or @t316 @t315)) % 234.75/234.91 (define @t323 () (or @t188 @t322)) % 234.75/234.91 (define @t324 () (forall @t318 @t323)) % 234.75/234.91 (define @t325 () (@list @t313)) % 234.75/234.91 (define @t326 () (forall @t325 @t323)) % 234.75/234.91 (define @t327 () (forall @t325 @t322)) % 234.75/234.91 (define @t328 () (@list @t10)) % 234.75/234.91 (define @t329 () (or @t188 @t327)) % 234.75/234.91 (define @t330 () (or @t202 @t102)) % 234.75/234.91 (define @t331 () (forall @t14 @t330)) % 234.75/234.91 (define @t332 () (or @t188 @t331)) % 234.75/234.91 (define @t333 () (forall @t16 @t332)) % 234.75/234.91 (define @t334 () (or @t303 @t333)) % 234.75/234.91 (define @t335 () (or @t303 @t332)) % 234.75/234.91 (define @t336 () (or @t188 @t303 @t331)) % 234.75/234.91 (define @t337 () (or @t303 @t331)) % 234.75/234.91 (define @t338 () (or @t303 @t330)) % 234.75/234.91 (define @t339 () (or @t202 @t303 @t102)) % 234.75/234.91 (define @t340 () (@var "BOUND_VARIABLE_9899" $$unsorted)) % 234.75/234.91 (define @t341 () (@var "BOUND_VARIABLE_9897" $$unsorted)) % 234.75/234.91 (define @t342 () (@var "BOUND_VARIABLE_9895" $$unsorted)) % 234.75/234.91 (define @t343 () (= (tptp.frontsegP (tptp.cons @t2 @t341) (tptp.cons @t342 @t340)) (and (= @t2 @t342) (tptp.frontsegP @t341 @t340)))) % 234.75/234.91 (define @t344 () (not (tptp.ssList @t340))) % 234.75/234.91 (define @t345 () (not (tptp.ssList @t341))) % 234.75/234.91 (define @t346 () (not (tptp.ssItem @t342))) % 234.75/234.91 (define @t347 () (not @t8)) % 234.75/234.91 (define @t348 () (or @t347 @t346 @t345 @t344 @t343)) % 234.75/234.91 (define @t349 () (or @t346 @t345 @t344 @t343)) % 234.75/234.91 (define @t350 () (or @t347 @t349)) % 234.75/234.91 (define @t351 () (@list @t2 @t342 @t341 @t340)) % 234.75/234.91 (define @t352 () (forall @t351 @t350)) % 234.75/234.91 (define @t353 () (@list @t342 @t341 @t340)) % 234.75/234.91 (define @t354 () (forall @t353 @t350)) % 234.75/234.91 (define @t355 () (forall @t353 @t349)) % 234.75/234.91 (define @t356 () (@var "BOUND_VARIABLE_9873" $$unsorted)) % 234.75/234.91 (define @t357 () (@var "BOUND_VARIABLE_9871" $$unsorted)) % 234.75/234.91 (define @t358 () (or @t347 @t355)) % 234.75/234.91 (define @t359 () (= (tptp.frontsegP (tptp.cons @t2 @t357) (tptp.cons @t1 @t356)) (and @t3 (tptp.frontsegP @t357 @t356)))) % 234.75/234.91 (define @t360 () (not (tptp.ssList @t356))) % 234.75/234.91 (define @t361 () (not (tptp.ssList @t357))) % 234.75/234.91 (define @t362 () (or @t237 @t361 @t360 @t359)) % 234.75/234.91 (define @t363 () (@list @t1 @t357 @t356)) % 234.75/234.91 (define @t364 () (forall @t363 @t362)) % 234.75/234.91 (define @t365 () (or @t361 @t360 @t359)) % 234.75/234.91 (define @t366 () (or @t237 @t365)) % 234.75/234.91 (define @t367 () (forall @t363 @t366)) % 234.75/234.91 (define @t368 () (@list @t357 @t356)) % 234.75/234.91 (define @t369 () (forall @t368 @t366)) % 234.75/234.91 (define @t370 () (forall @t368 @t365)) % 234.75/234.91 (define @t371 () (@var "BOUND_VARIABLE_9852" $$unsorted)) % 234.75/234.91 (define @t372 () (or @t237 @t370)) % 234.75/234.91 (define @t373 () (= (tptp.frontsegP @t88 (tptp.cons @t1 @t371)) (and @t3 (tptp.frontsegP @t12 @t371)))) % 234.75/234.91 (define @t374 () (not (tptp.ssList @t371))) % 234.75/234.91 (define @t375 () (or @t188 @t374 @t373)) % 234.75/234.91 (define @t376 () (@list @t12 @t371)) % 234.75/234.91 (define @t377 () (forall @t376 @t375)) % 234.75/234.91 (define @t378 () (or @t374 @t373)) % 234.75/234.91 (define @t379 () (or @t188 @t378)) % 234.75/234.91 (define @t380 () (forall @t376 @t379)) % 234.75/234.91 (define @t381 () (@list @t371)) % 234.75/234.91 (define @t382 () (forall @t381 @t379)) % 234.75/234.91 (define @t383 () (forall @t381 @t378)) % 234.75/234.91 (define @t384 () (or @t188 @t383)) % 234.75/234.91 (define @t385 () (forall @t14 (or @t202 @t89))) % 234.75/234.91 (define @t386 () (tptp.tl @t215)) % 234.75/234.91 (define @t387 () (tptp.cons @t239 @t386)) % 234.75/234.91 (define @t388 () (tptp.frontsegP @t387 @t279)) % 234.75/234.91 (define @t389 () (tptp.frontsegP @t386 tptp.nil)) % 234.75/234.91 (define @t390 () (and (= @t239 @t239) @t389)) % 234.75/234.91 (define @t391 () (= @t388 @t390)) % 234.75/234.91 (define @t392 () (tptp.ssList @t386)) % 234.75/234.91 (define @t393 () (not @t392)) % 234.75/234.91 (define @t394 () (or @t281 @t281 @t393 @t269 @t391)) % 234.75/234.91 (define @t395 () (forall @t351 @t348)) % 234.75/234.91 (define @t396 () (= @t389 @t388)) % 234.75/234.91 (define @t397 () (or @t281 @t281 @t393 @t269 @t396)) % 234.75/234.91 (define @t398 () (@var "BOUND_VARIABLE_9258" $$unsorted)) % 234.75/234.91 (define @t399 () (tptp.cons @t398 @t1)) % 234.75/234.91 (define @t400 () (not (= @t2 @t399))) % 234.75/234.91 (define @t401 () (not (tptp.ssItem @t398))) % 234.75/234.91 (define @t402 () (or @t173 @t401 @t400)) % 234.75/234.91 (define @t403 () (@list @t1 @t398)) % 234.75/234.91 (define @t404 () (not (forall @t403 @t402))) % 234.75/234.91 (define @t405 () (or @t159 @t241 @t404)) % 234.75/234.91 (define @t406 () (or @t241 @t404)) % 234.75/234.91 (define @t407 () (or @t401 @t400)) % 234.75/234.91 (define @t408 () (or @t173 @t407)) % 234.75/234.91 (define @t409 () (forall @t403 @t408)) % 234.75/234.91 (define @t410 () (@list @t398)) % 234.75/234.91 (define @t411 () (forall @t410 @t408)) % 234.75/234.91 (define @t412 () (forall @t410 @t407)) % 234.75/234.91 (define @t413 () (or @t173 @t412)) % 234.75/234.91 (define @t414 () (= @t2 @t54)) % 234.75/234.91 (define @t415 () (forall @t16 (or (not @t40) (not @t414)))) % 234.75/234.91 (define @t416 () (not @t415)) % 234.75/234.91 (define @t417 () (and @t27 @t416)) % 234.75/234.91 (define @t418 () (forall @t7 (not @t417))) % 234.75/234.91 (define @t419 () (not @t418)) % 234.75/234.91 (define @t420 () (and @t40 @t414)) % 234.75/234.91 (define @t421 () (forall @t16 (not @t420))) % 234.75/234.91 (define @t422 () (not @t421)) % 234.75/234.91 (define @t423 () (not (= @t215 @t399))) % 234.75/234.91 (define @t424 () (or @t173 @t401 @t423)) % 234.75/234.91 (define @t425 () (forall @t403 @t424)) % 234.75/234.91 (define @t426 () (not @t425)) % 234.75/234.91 (define @t427 () (or @t221 @t247 @t426)) % 234.75/234.91 (define @t428 () (forall @t9 @t405)) % 234.75/234.91 (define @t429 () (forall @t403 (or @t173 @t401 (not (= @t399 @t215))))) % 234.75/234.91 (define @t430 () (not @t429)) % 234.75/234.91 (define @t431 () (or @t221 @t251 @t430)) % 234.75/234.91 (define @t432 () (@quantifiers_skolemize @t429 0)) % 234.75/234.91 (define @t433 () (@quantifiers_skolemize @t429 1)) % 234.75/234.91 (define @t434 () (tptp.cons @t433 @t432)) % 234.75/234.91 (define @t435 () (= @t215 @t434)) % 234.75/234.91 (define @t436 () (not @t435)) % 234.75/234.91 (define @t437 () (tptp.ssItem @t433)) % 234.75/234.91 (define @t438 () (not @t437)) % 234.75/234.91 (define @t439 () (tptp.ssList @t432)) % 234.75/234.91 (define @t440 () (not @t439)) % 234.75/234.91 (define @t441 () (or @t440 @t438 @t436)) % 234.75/234.91 (define @t442 () (not @t441)) % 234.75/234.91 (define @t443 () (not (= @t434 @t215))) % 234.75/234.91 (define @t444 () (or @t440 @t438 @t443)) % 234.75/234.91 (define @t445 () (not @t444)) % 234.75/234.91 (define @t446 () (@list @t441)) % 234.75/234.91 (define @t447 () (@var "BOUND_VARIABLE_9345" $$unsorted)) % 234.75/234.91 (define @t448 () (= @t2 (tptp.tl (tptp.cons @t447 @t2)))) % 234.75/234.91 (define @t449 () (not (tptp.ssItem @t447))) % 234.75/234.91 (define @t450 () (or @t449 @t448)) % 234.75/234.91 (define @t451 () (or @t159 @t450)) % 234.75/234.91 (define @t452 () (forall (@list @t2 @t447) @t451)) % 234.75/234.91 (define @t453 () (@list @t447)) % 234.75/234.91 (define @t454 () (forall @t453 @t451)) % 234.75/234.91 (define @t455 () (forall @t453 @t450)) % 234.75/234.91 (define @t456 () (or @t159 @t455)) % 234.75/234.91 (define @t457 () (= @t2 @t70)) % 234.75/234.91 (define @t458 () (forall @t7 (or @t237 @t457))) % 234.75/234.91 (define @t459 () (= @t432 (tptp.tl @t434))) % 234.75/234.91 (define @t460 () (or @t440 @t438 @t459)) % 234.75/234.91 (define @t461 () (tptp.frontsegP @t432 tptp.nil)) % 234.75/234.91 (define @t462 () (or @t440 @t461)) % 234.75/234.91 (define @t463 () (= @t2 @t118)) % 234.75/234.91 (define @t464 () (or @t159 @t241 @t463)) % 234.75/234.91 (define @t465 () (=> @t243 @t463)) % 234.75/234.91 (define @t466 () (= @t215 @t387)) % 234.75/234.91 (define @t467 () (or @t221 @t247 @t466)) % 234.75/234.91 (define @t468 () (forall @t9 @t464)) % 234.75/234.91 (define @t469 () (or @t221 @t251 @t466)) % 234.75/234.91 (define @t470 () (tptp.frontsegP @t215 @t279)) % 234.75/234.91 (define @t471 () (= @t213 @t279)) % 234.75/234.91 (define @t472 () (not @t471)) % 234.75/234.91 (define @t473 () (tptp.neq @t213 @t279)) % 234.75/234.91 (define @t474 () (= @t473 @t472)) % 234.75/234.91 (define @t475 () (not @t280)) % 234.75/234.91 (define @t476 () (or @t223 @t475 @t474)) % 234.75/234.91 (define @t477 () (= @t2 @t18)) % 234.75/234.91 (define @t478 () (= @t21 (not (forall @t7 (or @t237 (not @t477)))))) % 234.75/234.91 (define @t479 () (and @t6 @t477)) % 234.75/234.91 (define @t480 () (forall @t7 (not @t479))) % 234.75/234.91 (define @t481 () (not @t480)) % 234.75/234.91 (define @t482 () (@list tptp.nil)) % 234.75/234.91 (define @t483 () (forall @t7 (or @t237 (not (= tptp.nil @t18))))) % 234.75/234.91 (define @t484 () (not @t483)) % 234.75/234.91 (define @t485 () (= @t85 @t484)) % 234.75/234.91 (define @t486 () (or @t269 @t485)) % 234.75/234.91 (define @t487 () (not @t485)) % 234.75/234.91 (define @t488 () (@list true false)) % 234.75/234.91 (define @t489 () (@list @t239)) % 234.75/234.91 (define @t490 () (not (= tptp.nil @t279))) % 234.75/234.91 (define @t491 () (or @t281 @t490)) % 234.75/234.91 (define @t492 () (not (= @t213 tptp.nil))) % 234.75/234.91 (define @t493 () (= @t222 @t492)) % 234.75/234.91 (define @t494 () (or @t223 @t269 @t493)) % 234.75/234.91 (define @t495 () (= tptp.nil @t213)) % 234.75/234.91 (define @t496 () (not @t495)) % 234.75/234.91 (define @t497 () (= @t222 @t496)) % 234.75/234.91 (define @t498 () (or @t223 @t269 @t497)) % 234.75/234.91 (define @t499 () (not @t497)) % 234.75/234.91 (define @t500 () (not @t474)) % 234.75/234.91 (define @t501 () (tptp.strictorderedP @t279)) % 234.75/234.91 (define @t502 () (or @t281 @t501)) % 234.75/234.91 (define @t503 () (not @t501)) % 234.75/234.91 (define @t504 () (not (tptp.segmentP @t279 @t213))) % 234.75/234.91 (define @t505 () (not @t470)) % 234.75/234.91 (define @t506 () (not @t473)) % 234.75/234.91 (define @t507 () (or @t475 @t506 @t505 @t504 @t503)) % 234.75/234.91 (define @t508 () (@var "BOUND_VARIABLE_10524" $$unsorted)) % 234.75/234.91 (define @t509 () (= (tptp.cons @t508 @t2) (tptp.app (tptp.cons @t508 tptp.nil) @t2))) % 234.75/234.91 (define @t510 () (not (tptp.ssItem @t508))) % 234.75/234.91 (define @t511 () (or @t510 @t509)) % 234.75/234.91 (define @t512 () (or @t159 @t511)) % 234.75/234.91 (define @t513 () (forall (@list @t2 @t508) @t512)) % 234.75/234.91 (define @t514 () (@list @t508)) % 234.75/234.91 (define @t515 () (forall @t514 @t512)) % 234.75/234.91 (define @t516 () (forall @t514 @t511)) % 234.75/234.91 (define @t517 () (or @t159 @t516)) % 234.75/234.91 (define @t518 () (forall @t7 (or @t237 @t123))) % 234.75/234.91 (define @t519 () (tptp.app @t279 tptp.nil)) % 234.75/234.91 (define @t520 () (= @t279 @t519)) % 234.75/234.91 (define @t521 () (or @t269 @t281 @t520)) % 234.75/234.91 (define @t522 () (tptp.app @t519 tptp.nil)) % 234.75/234.91 (define @t523 () (tptp.segmentP @t522 @t213)) % 234.75/234.91 (define @t524 () (tptp.segmentP tptp.nil tptp.nil)) % 234.75/234.91 (define @t525 () (or @t269 @t524)) % 234.75/234.91 (define @t526 () (tptp.segmentP tptp.nil @t213)) % 234.75/234.91 (define @t527 () (not @t526)) % 234.75/234.91 (define @t528 () (or @t269 @t223 @t527 @t475 @t269 @t523)) % 234.75/234.91 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 234.75/234.91 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 234.75/234.91 (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))))))))))) % 234.75/234.91 (assume @p4 @t24) % 234.75/234.91 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 234.75/234.91 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 234.75/234.91 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 234.75/234.91 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31))))))))))))))))) % 234.75/234.91 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31)))))))))))))))) % 234.75/234.91 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1))))))))))))))))) % 234.75/234.91 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 234.75/234.91 (assume @p12 (forall @t9 (=> @t17 (= @t42 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 234.75/234.91 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t43)))))))))))))))) % 234.75/234.91 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t43))))))))))))) % 234.75/234.91 (assume @p15 @t46) % 234.75/234.91 (assume @p16 @t51) % 234.75/234.91 (assume @p17 @t52) % 234.75/234.91 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 234.75/234.91 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 234.75/234.91 (assume @p20 @t62) % 234.75/234.91 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 234.75/234.91 (assume @p22 @t68) % 234.75/234.91 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 234.75/234.91 (assume @p24 (forall @t9 (=> @t17 (=> @t65 (tptp.ssList @t69))))) % 234.75/234.91 (assume @p25 @t74) % 234.75/234.91 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t75)))))) % 234.75/234.91 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t76) (tptp.app @t54 @t2))))))))) % 234.75/234.91 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 234.75/234.91 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t78 @t77) @t3)))))) % 234.75/234.91 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t78 @t32) (tptp.leq @t2 @t12))))))))) % 234.75/234.91 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 234.75/234.91 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t77)))))) % 234.75/234.91 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (not @t80))))))) % 234.75/234.91 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t41) @t82)))))))) % 234.75/234.91 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t83 @t80)))))) % 234.75/234.91 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t84))))))))) % 234.75/234.91 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t84))))))))) % 234.75/234.91 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 234.75/234.91 (assume @p39 (not @t85)) % 234.75/234.91 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 @t86) (tptp.frontsegP @t2 @t12))))))))) % 234.75/234.91 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 @t87) @t3)))))) % 234.75/234.91 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 234.75/234.91 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 234.75/234.91 (assume @p44 @t96) % 234.75/234.91 (assume @p45 @t98) % 234.75/234.91 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t59)))) % 234.75/234.91 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 234.75/234.91 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 234.75/234.91 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 234.75/234.91 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t99 @t1))))))))) % 234.75/234.91 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 234.75/234.91 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t59)))) % 234.75/234.91 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 234.75/234.91 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 (tptp.segmentP @t1 @t2)) @t3)))))) % 234.75/234.91 (assume @p55 @t101) % 234.75/234.91 (assume @p56 @t110) % 234.75/234.91 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 234.75/234.91 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t59)))) % 234.75/234.91 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t111)))) % 234.75/234.91 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 234.75/234.91 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t111)))) % 234.75/234.91 (assume @p62 (tptp.totalorderP tptp.nil)) % 234.75/234.91 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t111)))) % 234.75/234.91 (assume @p64 (tptp.strictorderP tptp.nil)) % 234.75/234.91 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t111)))) % 234.75/234.91 (assume @p66 (tptp.totalorderedP tptp.nil)) % 234.75/234.91 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t115) (or @t113 (and @t114 (tptp.totalorderedP @t1) (tptp.leq @t2 @t112))))))))) % 234.75/234.91 (assume @p68 @t117) % 234.75/234.91 (assume @p69 (tptp.strictorderedP tptp.nil)) % 234.75/234.91 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t115) (or @t113 (and @t114 (tptp.strictorderedP @t1) (tptp.lt @t2 @t112))))))))) % 234.75/234.91 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t111)))) % 234.75/234.91 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 234.75/234.91 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t111)))) % 234.75/234.91 (assume @p74 (tptp.equalelemsP tptp.nil)) % 234.75/234.91 (assume @p75 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t6 (= @t63 @t1))))))) % 234.75/234.91 (assume @p76 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t27 (= @t69 @t1))))))) % 234.75/234.91 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t114 @t65 (= @t112 @t63) (= (tptp.tl @t1) @t69)) @t53)))))) % 234.75/234.91 (assume @p78 @t121) % 234.75/234.91 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t75) @t122)))))))) % 234.75/234.91 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t76) @t122)))))))) % 234.75/234.91 (assume @p81 @t126) % 234.75/234.91 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t75 @t12) (tptp.app @t2 @t25))))))))) % 234.75/234.91 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t75) (and @t113 @t59))))))) % 234.75/234.91 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 234.75/234.91 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.hd @t75) @t63))))))) % 234.75/234.91 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.tl @t75) (tptp.app @t69 @t1)))))))) % 234.75/234.91 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t79 (tptp.geq @t1 @t2)) @t3)))))) % 234.75/234.91 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t79 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 234.75/234.91 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 234.75/234.91 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 234.75/234.91 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t78 @t41) @t82)))))))) % 234.75/234.91 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t78 (or @t3 @t81))))))) % 234.75/234.91 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t81 (and @t4 @t78))))))) % 234.75/234.91 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t83 (not (tptp.gt @t1 @t2)))))))) % 234.75/234.91 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t83 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 234.75/234.91 (assume @p96 @t148) % 234.75/234.91 (assume @p97 true) % 234.75/234.91 (step @p98 :rule aci_norm :args ((= @t162 @t160))) % 234.75/234.91 (step @p99 :rule cong :premises (@p98) :args (@t164)) % 234.75/234.91 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t166) @t164))) % 234.75/234.91 (step @p101 :rule alpha_equiv :args (@t167 (@list @t151) @t168)) % 234.75/234.91 (step @p102 :rule refl :args (@t158)) % 234.75/234.91 (step @p103 :rule refl :args (@t127)) % 234.75/234.91 (step @p104 :rule refl :args (@t159)) % 234.75/234.91 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101) :args (@t169)) % 234.75/234.91 (step @p106 :rule quant-miniscope-or :args ((= @t166 @t169))) % 234.75/234.91 (step @p107 :rule trans :premises (@p106 @p105)) % 234.75/234.91 (step @p108 :rule symm :premises (@p107)) % 234.75/234.91 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 @t176))) % 234.75/234.91 (step @p110 :rule trans :premises (@p109 @p100)) % 234.75/234.91 (step @p111 :rule trans :premises (@p110 @p99)) % 234.75/234.91 (step @p112 :rule aci_norm :args ((= (or @t159 @t177) @t176))) % 234.75/234.91 (step @p113 :rule bool-impl-elim :args (@t17 @t177)) % 234.75/234.91 (step @p114 :rule trans :premises (@p113 @p112)) % 234.75/234.91 (step @p115 :rule cong :premises (@p114) :args ((forall @t9 (=> @t17 @t177)))) % 234.75/234.91 (step @p116 :rule trans :premises (@p115 @p111)) % 234.75/234.91 (step @p117 :rule quant-miniscope-or :args ((= (forall @t7 @t178) @t177))) % 234.75/234.91 (step @p118 :rule aci_norm :args ((= @t179 @t178))) % 234.75/234.91 (step @p119 :rule cong :premises (@p118) :args ((forall @t7 @t179))) % 234.75/234.91 (step @p120 :rule trans :premises (@p119 @p117)) % 234.75/234.91 (step @p121 :rule aci_norm :args ((= (or @t173 @t180) @t179))) % 234.75/234.91 (step @p122 :rule bool-impl-elim :args (@t27 @t180)) % 234.75/234.91 (step @p123 :rule trans :premises (@p122 @p121)) % 234.75/234.91 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 (=> @t27 @t180)))) % 234.75/234.91 (step @p125 :rule trans :premises (@p124 @p120)) % 234.75/234.91 (step @p126 :rule aci_norm :args ((= (or @t136 @t127 @t173 @t181) @t180))) % 234.75/234.91 (step @p127 :rule aci_norm :args ((= (or @t159 false @t158 @t172 @t171) @t181))) % 234.75/234.91 (step @p128 :rule refl :args (@t171)) % 234.75/234.91 (step @p129 :rule refl :args (@t172)) % 234.75/234.91 (step @p130 :rule refl :args (@t158)) % 234.75/234.91 (step @p131 :rule evaluate :args ((not true))) % 234.75/234.91 (step @p132 :rule eq-refl :args (@t2)) % 234.75/234.91 (step @p133 :rule cong :premises (@p132) :args (@t182)) % 234.75/234.91 (step @p134 :rule trans :premises (@p133 @p131)) % 234.75/234.91 (step @p135 :rule refl :args (@t159)) % 234.75/234.91 (step @p136 :rule nary_cong :premises (@p135 @p134 @p130 @p129 @p128) :args (@t183)) % 234.75/234.91 (step @p137 :rule trans :premises (@p136 @p127)) % 234.75/234.91 (step @p138 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t122) @t188 @t137 @t134 @t187 @t186)) @t183))) % 234.75/234.91 (step @p139 :rule refl :args (@t186)) % 234.75/234.91 (step @p140 :rule refl :args (@t187)) % 234.75/234.91 (step @p141 :rule refl :args (@t134)) % 234.75/234.91 (step @p142 :rule refl :args (@t137)) % 234.75/234.91 (step @p143 :rule refl :args (@t188)) % 234.75/234.91 (step @p144 :rule eq-symm :args (@t2 @t12)) % 234.75/234.91 (step @p145 :rule cong :premises (@p144) :args (@t137)) % 234.75/234.91 (step @p146 :rule nary_cong :premises (@p145 @p143 @p142 @p141 @p140 @p139) :args (@t189)) % 234.75/234.91 (step @p147 :rule aci_norm :args ((= @t190 @t189))) % 234.75/234.91 (step @p148 :rule trans :premises (@p147 @p146)) % 234.75/234.91 (step @p149 :rule cong :premises (@p148) :args (@t191)) % 234.75/234.91 (step @p150 :rule trans :premises (@p149 @p138)) % 234.75/234.91 (step @p151 :rule trans :premises (@p150 @p137)) % 234.75/234.91 (step @p152 :rule refl :args (@t173)) % 234.75/234.91 (step 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((or @t503 @t475 @t506 @t505 @t504 (not @t507)))) % 234.75/234.91 (step @p799 :rule chain_m_resolution :premises (@p798 @p796 @p361 @p789 @p713 @p446) :args (@t504 (@list false false false false false) (@list @t501 @t280 @t473 @t470 @t507))) % 234.75/234.91 (step @p800 :rule false_intro :premises (@p799)) % 234.75/234.91 (step @p801 :rule refl :args (@t213)) % 234.75/234.91 (step @p802 :rule aci_norm :args ((= @t512 (or @t159 @t510 @t509)))) % 234.75/234.91 (step @p803 :rule cong :premises (@p802) :args (@t513)) % 234.75/234.91 (step @p804 :rule quant-merge-prenex :args ((= (forall @t9 @t515) @t513))) % 234.75/234.91 (step @p805 :rule alpha_equiv :args (@t516 (@list @t508) @t168)) % 234.75/234.91 (step @p806 :rule nary_cong :premises (@p104 @p805) :args (@t517)) % 234.75/234.91 (step @p807 :rule quant-miniscope-or :args ((= @t515 @t517))) % 234.75/234.91 (step @p808 :rule trans :premises (@p807 @p806)) % 234.75/234.91 (step @p809 :rule symm :premises (@p808)) % 234.75/234.91 (step @p810 :rule cong :premises (@p809) :args ((forall @t9 (or @t159 @t518)))) % 234.75/234.91 (step @p811 :rule trans :premises (@p810 @p804)) % 234.75/234.91 (step @p812 :rule trans :premises (@p811 @p803)) % 234.75/234.91 (step @p813 :rule bool-impl-elim :args (@t17 @t518)) % 234.75/234.91 (step @p814 :rule cong :premises (@p813) :args ((forall @t9 (=> @t17 @t518)))) % 234.75/234.91 (step @p815 :rule trans :premises (@p814 @p812)) % 234.75/234.91 (step @p816 :rule bool-impl-elim :args (@t6 @t123)) % 234.75/234.91 (step @p817 :rule cong :premises (@p816) :args (@t124)) % 234.75/234.91 (step @p818 :rule cong :premises (@p237 @p817) :args (@t125)) % 234.75/234.91 (step @p819 :rule cong :premises (@p818) :args (@t126)) % 234.75/234.91 (step @p820 :rule trans :premises (@p819 @p815)) % 234.75/234.91 (step @p821 :rule eq_resolve :premises (@p81 @p820)) % 234.75/234.91 (step @p822 :rule instantiate :premises (@p821) :args (@t240)) % 234.75/234.91 (step @p823 :rule cnf_or_pos :args (@t521)) % 234.75/234.91 (step @p824 :rule reordering :premises (@p823) :args ((or @t269 @t281 @t520 (not @t521)))) % 234.75/234.91 (step @p825 :rule chain_m_resolution :premises (@p824 @p17 @p358 @p822) :args (@t520 @t276 (@list @t52 @t246 @t521))) % 234.75/234.91 (step @p826 :rule symm :premises (@p825)) % 234.75/234.91 (step @p827 :rule cong :premises (@p826 @p672) :args (@t522)) % 234.75/234.91 (step @p828 :rule trans :premises (@p827 @p826)) % 234.75/234.91 (step @p829 :rule cong :premises (@p828 @p801) :args (@t523)) % 234.75/234.91 (step @p830 :rule trans :premises (@p829 @p800)) % 234.75/234.91 (step @p831 :rule false_elim :premises (@p830)) % 234.75/234.91 (step @p832 :rule bool-impl-elim :args (@t17 @t100)) % 234.75/234.91 (step @p833 :rule cong :premises (@p832) :args (@t101)) % 234.75/234.91 (step @p834 :rule eq_resolve :premises (@p55 @p833)) % 234.75/234.91 (step @p835 :rule instantiate :premises (@p834) :args (@t482)) % 234.75/234.91 (step @p836 :rule cnf_or_pos :args (@t525)) % 234.75/234.91 (step @p837 :rule reordering :premises (@p836) :args ((or @t269 @t524 (not @t525)))) % 234.75/234.91 (step @p838 :rule chain_m_resolution :premises (@p837 @p17 @p835) :args (@t524 @t277 (@list @t52 @t525))) % 234.75/234.91 (step @p839 :rule true_intro :premises (@p838)) % 234.75/234.91 (step @p840 :rule cong :premises (@p672 @p778) :args (@t526)) % 234.75/234.91 (step @p841 :rule trans :premises (@p840 @p839)) % 234.75/234.91 (step @p842 :rule true_elim :premises (@p841)) % 234.75/234.91 (step @p843 :rule cnf_or_pos :args (@t528)) % 234.75/234.91 (step @p844 :rule factoring :premises (@p843)) % 234.75/234.91 (step @p845 :rule reordering :premises (@p844) :args ((or @t269 @t223 @t475 @t527 @t523 (not @t528)))) % 234.75/234.91 (step @p846 false :rule chain_m_resolution :premises (@p845 @p842 @p831 @p439 @p361 @p250 @p17) :args (false (@list false true false false false false) (@list @t526 @t523 @t528 @t280 @t214 @t52))) % 234.75/234.91 ) % 234.75/234.91 % SZS output end Proof % 234.75/234.91 % cvc5 exiting %------------------------------------------------------------------------------