%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC413+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:59:13 AM UTC 2026 % Result : Theorem 1.21s 1.40s % Output : Proof 1.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC413+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:46:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.21/1.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.21/1.40 % SZS status Theorem % 1.21/1.40 % SZS output start Proof % 1.21/1.40 ( % 1.21/1.40 (declare-sort $$unsorted 0) % 1.21/1.40 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.21/1.40 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.21/1.40 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.40 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.40 (declare-const tptp.nil $$unsorted) % 1.21/1.40 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.21/1.40 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.21/1.40 (define @t1 () (@var "V" $$unsorted)) % 1.21/1.40 (define @t2 () (@var "U" $$unsorted)) % 1.21/1.40 (define @t3 () (= @t2 @t1)) % 1.21/1.40 (define @t4 () (not @t3)) % 1.21/1.40 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.21/1.40 (define @t6 () (tptp.ssItem @t1)) % 1.21/1.40 (define @t7 () (@list @t1)) % 1.21/1.40 (define @t8 () (tptp.ssItem @t2)) % 1.21/1.40 (define @t9 () (@list @t2)) % 1.21/1.40 (define @t10 () (@var "X" $$unsorted)) % 1.21/1.40 (define @t11 () (tptp.cons @t1 @t10)) % 1.21/1.40 (define @t12 () (@var "W" $$unsorted)) % 1.21/1.40 (define @t13 () (tptp.ssList @t10)) % 1.21/1.40 (define @t14 () (@list @t10)) % 1.21/1.40 (define @t15 () (tptp.ssList @t12)) % 1.21/1.40 (define @t16 () (@list @t12)) % 1.21/1.40 (define @t17 () (tptp.ssList @t2)) % 1.21/1.40 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.21/1.40 (define @t19 () (tptp.app @t1 @t12)) % 1.21/1.40 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.21/1.40 (define @t21 () (tptp.ssList @t1)) % 1.21/1.40 (define @t22 () (tptp.app @t12 @t1)) % 1.21/1.40 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.21/1.40 (define @t24 () (tptp.segmentP @t2 @t1)) % 1.21/1.40 (define @t25 () (tptp.leq @t12 @t1)) % 1.21/1.40 (define @t26 () (tptp.leq @t1 @t12)) % 1.21/1.40 (define @t27 () (@var "Z" $$unsorted)) % 1.21/1.40 (define @t28 () (@var "Y" $$unsorted)) % 1.21/1.40 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 1.21/1.40 (define @t30 () (tptp.ssList @t27)) % 1.21/1.40 (define @t31 () (@list @t27)) % 1.21/1.40 (define @t32 () (tptp.ssList @t28)) % 1.21/1.40 (define @t33 () (@list @t28)) % 1.21/1.40 (define @t34 () (tptp.ssItem @t12)) % 1.21/1.40 (define @t35 () (tptp.lt @t1 @t12)) % 1.21/1.40 (define @t36 () (= @t1 @t12)) % 1.21/1.40 (define @t37 () (tptp.cons @t1 @t2)) % 1.21/1.40 (define @t38 () (= @t1 @t2)) % 1.21/1.40 (define @t39 () (tptp.cons @t12 @t1)) % 1.21/1.40 (define @t40 () (= tptp.nil @t2)) % 1.21/1.40 (define @t41 () (tptp.hd @t2)) % 1.21/1.40 (define @t42 () (not @t40)) % 1.21/1.40 (define @t43 () (tptp.tl @t2)) % 1.21/1.40 (define @t44 () (tptp.app @t2 @t1)) % 1.21/1.40 (define @t45 () (tptp.app @t1 @t2)) % 1.21/1.40 (define @t46 () (tptp.leq @t1 @t2)) % 1.21/1.40 (define @t47 () (tptp.leq @t2 @t1)) % 1.21/1.40 (define @t48 () (tptp.geq @t2 @t1)) % 1.21/1.40 (define @t49 () (tptp.lt @t1 @t2)) % 1.21/1.40 (define @t50 () (tptp.lt @t2 @t1)) % 1.21/1.40 (define @t51 () (tptp.lt @t2 @t12)) % 1.21/1.40 (define @t52 () (tptp.gt @t2 @t1)) % 1.21/1.40 (define @t53 () (tptp.memberP @t12 @t2)) % 1.21/1.40 (define @t54 () (tptp.app @t12 @t2)) % 1.21/1.40 (define @t55 () (tptp.cons @t2 tptp.nil)) % 1.21/1.40 (define @t56 () (tptp.hd @t1)) % 1.21/1.40 (define @t57 () (= tptp.nil @t1)) % 1.21/1.40 (define @t58 () (not @t57)) % 1.21/1.40 (define @t59 () (tptp.cons @t2 @t1)) % 1.21/1.40 (define @t60 () (= @t12 @t2)) % 1.21/1.40 (define @t61 () (@var "X4" $$unsorted)) % 1.21/1.40 (define @t62 () (@var "X3" $$unsorted)) % 1.21/1.40 (define @t63 () (@var "X2" $$unsorted)) % 1.21/1.40 (define @t64 () (tptp.cons @t63 tptp.nil)) % 1.21/1.40 (define @t65 () (tptp.app @t64 (tptp.cons @t62 tptp.nil))) % 1.21/1.40 (define @t66 () (tptp.app @t65 @t61)) % 1.21/1.40 (define @t67 () (not (= @t66 @t1))) % 1.21/1.40 (define @t68 () (tptp.ssList @t61)) % 1.21/1.40 (define @t69 () (=> @t68 @t67)) % 1.21/1.40 (define @t70 () (@list @t61)) % 1.21/1.40 (define @t71 () (forall @t70 @t69)) % 1.21/1.40 (define @t72 () (tptp.ssItem @t62)) % 1.21/1.40 (define @t73 () (=> @t72 @t71)) % 1.21/1.40 (define @t74 () (@list @t62)) % 1.21/1.40 (define @t75 () (forall @t74 @t73)) % 1.21/1.40 (define @t76 () (tptp.ssItem @t63)) % 1.21/1.40 (define @t77 () (=> @t76 @t75)) % 1.21/1.40 (define @t78 () (@list @t63)) % 1.21/1.40 (define @t79 () (forall @t78 @t77)) % 1.21/1.40 (define @t80 () (@var "X10" $$unsorted)) % 1.21/1.40 (define @t81 () (@var "X9" $$unsorted)) % 1.21/1.40 (define @t82 () (@var "X8" $$unsorted)) % 1.21/1.40 (define @t83 () (tptp.cons @t82 tptp.nil)) % 1.21/1.40 (define @t84 () (tptp.app @t83 (tptp.cons @t81 tptp.nil))) % 1.21/1.40 (define @t85 () (tptp.app @t84 @t80)) % 1.21/1.40 (define @t86 () (tptp.ssList @t80)) % 1.21/1.40 (define @t87 () (and @t86 (= @t85 @t10))) % 1.21/1.40 (define @t88 () (@list @t80)) % 1.21/1.40 (define @t89 () (exists @t88 @t87)) % 1.21/1.40 (define @t90 () (tptp.ssItem @t81)) % 1.21/1.40 (define @t91 () (and @t90 @t89)) % 1.21/1.40 (define @t92 () (@list @t81)) % 1.21/1.40 (define @t93 () (exists @t92 @t91)) % 1.21/1.40 (define @t94 () (tptp.ssItem @t82)) % 1.21/1.40 (define @t95 () (and @t94 @t93)) % 1.21/1.40 (define @t96 () (@list @t82)) % 1.21/1.40 (define @t97 () (exists @t96 @t95)) % 1.21/1.40 (define @t98 () (or @t97 @t79)) % 1.21/1.40 (define @t99 () (@var "X7" $$unsorted)) % 1.21/1.40 (define @t100 () (@var "X5" $$unsorted)) % 1.21/1.40 (define @t101 () (tptp.cons @t100 tptp.nil)) % 1.21/1.40 (define @t102 () (@var "X6" $$unsorted)) % 1.21/1.40 (define @t103 () (tptp.cons @t102 tptp.nil)) % 1.21/1.40 (define @t104 () (tptp.app @t103 @t101)) % 1.21/1.40 (define @t105 () (tptp.app @t104 @t99)) % 1.21/1.40 (define @t106 () (not (= @t105 @t12))) % 1.21/1.40 (define @t107 () (tptp.app @t101 @t103)) % 1.21/1.40 (define @t108 () (tptp.app @t107 @t99)) % 1.21/1.40 (define @t109 () (not (= @t108 @t10))) % 1.21/1.40 (define @t110 () (or @t109 @t106)) % 1.21/1.40 (define @t111 () (tptp.ssList @t99)) % 1.21/1.40 (define @t112 () (=> @t111 @t110)) % 1.21/1.40 (define @t113 () (@list @t99)) % 1.21/1.40 (define @t114 () (forall @t113 @t112)) % 1.21/1.40 (define @t115 () (tptp.ssItem @t102)) % 1.21/1.40 (define @t116 () (=> @t115 @t114)) % 1.21/1.40 (define @t117 () (@list @t102)) % 1.21/1.40 (define @t118 () (forall @t117 @t116)) % 1.21/1.40 (define @t119 () (tptp.ssItem @t100)) % 1.21/1.40 (define @t120 () (=> @t119 @t118)) % 1.21/1.40 (define @t121 () (@list @t100)) % 1.21/1.40 (define @t122 () (forall @t121 @t120)) % 1.21/1.40 (define @t123 () (@var "X1" $$unsorted)) % 1.21/1.40 (define @t124 () (tptp.cons @t28 tptp.nil)) % 1.21/1.40 (define @t125 () (tptp.cons @t27 tptp.nil)) % 1.21/1.40 (define @t126 () (tptp.app @t125 @t124)) % 1.21/1.40 (define @t127 () (tptp.app @t126 @t123)) % 1.21/1.40 (define @t128 () (tptp.app @t124 @t125)) % 1.21/1.40 (define @t129 () (tptp.app @t128 @t123)) % 1.21/1.40 (define @t130 () (tptp.ssList @t123)) % 1.21/1.40 (define @t131 () (and @t130 (= @t129 @t1) (= @t127 @t2))) % 1.21/1.40 (define @t132 () (@list @t123)) % 1.21/1.40 (define @t133 () (exists @t132 @t131)) % 1.21/1.40 (define @t134 () (tptp.ssItem @t27)) % 1.21/1.40 (define @t135 () (and @t134 @t133)) % 1.21/1.40 (define @t136 () (exists @t31 @t135)) % 1.21/1.40 (define @t137 () (tptp.ssItem @t28)) % 1.21/1.40 (define @t138 () (and @t137 @t136)) % 1.21/1.40 (define @t139 () (exists @t33 @t138)) % 1.21/1.40 (define @t140 () (or @t139 @t79 @t122)) % 1.21/1.40 (define @t141 () (and @t140 @t98)) % 1.21/1.40 (define @t142 () (not (= @t2 @t12))) % 1.21/1.40 (define @t143 () (not (= @t1 @t10))) % 1.21/1.40 (define @t144 () (or @t143 @t142 @t141)) % 1.21/1.40 (define @t145 () (=> @t13 @t144)) % 1.21/1.40 (define @t146 () (forall @t14 @t145)) % 1.21/1.40 (define @t147 () (=> @t15 @t146)) % 1.21/1.40 (define @t148 () (forall @t16 @t147)) % 1.21/1.40 (define @t149 () (=> @t21 @t148)) % 1.21/1.40 (define @t150 () (forall @t7 @t149)) % 1.21/1.40 (define @t151 () (=> @t17 @t150)) % 1.21/1.40 (define @t152 () (forall @t9 @t151)) % 1.21/1.40 (define @t153 () (not @t152)) % 1.21/1.40 (define @t154 () (@var "BOUND_VARIABLE_11728" $$unsorted)) % 1.21/1.40 (define @t155 () (@var "BOUND_VARIABLE_11726" $$unsorted)) % 1.21/1.40 (define @t156 () (@var "BOUND_VARIABLE_11724" $$unsorted)) % 1.21/1.40 (define @t157 () (@var "BOUND_VARIABLE_11710" $$unsorted)) % 1.21/1.40 (define @t158 () (not (= @t157 (tptp.app (tptp.app (tptp.cons @t156 tptp.nil) (tptp.cons @t155 tptp.nil)) @t154)))) % 1.21/1.40 (define @t159 () (not (tptp.ssList @t154))) % 1.21/1.40 (define @t160 () (not (tptp.ssItem @t155))) % 1.21/1.40 (define @t161 () (not (tptp.ssItem @t156))) % 1.21/1.40 (define @t162 () (@var "BOUND_VARIABLE_11221" $$unsorted)) % 1.21/1.40 (define @t163 () (@var "BOUND_VARIABLE_11219" $$unsorted)) % 1.21/1.40 (define @t164 () (tptp.app (tptp.app @t83 (tptp.cons @t163 tptp.nil)) @t162)) % 1.21/1.40 (define @t165 () (not (tptp.ssList @t162))) % 1.21/1.40 (define @t166 () (not (tptp.ssItem @t163))) % 1.21/1.40 (define @t167 () (not @t94)) % 1.21/1.40 (define @t168 () (@list @t82 @t163 @t162)) % 1.21/1.40 (define @t169 () (@var "BOUND_VARIABLE_11722" $$unsorted)) % 1.21/1.40 (define @t170 () (@var "BOUND_VARIABLE_11718" $$unsorted)) % 1.21/1.40 (define @t171 () (tptp.cons @t170 tptp.nil)) % 1.21/1.40 (define @t172 () (@var "BOUND_VARIABLE_11720" $$unsorted)) % 1.21/1.40 (define @t173 () (tptp.cons @t172 tptp.nil)) % 1.21/1.40 (define @t174 () (not (= @t2 (tptp.app (tptp.app @t173 @t171) @t169)))) % 1.21/1.40 (define @t175 () (not (= @t157 (tptp.app (tptp.app @t171 @t173) @t169)))) % 1.21/1.40 (define @t176 () (not (tptp.ssList @t169))) % 1.21/1.40 (define @t177 () (not (tptp.ssItem @t172))) % 1.21/1.40 (define @t178 () (not (tptp.ssItem @t170))) % 1.21/1.40 (define @t179 () (@var "BOUND_VARIABLE_11716" $$unsorted)) % 1.21/1.40 (define @t180 () (@var "BOUND_VARIABLE_11714" $$unsorted)) % 1.21/1.40 (define @t181 () (@var "BOUND_VARIABLE_11712" $$unsorted)) % 1.21/1.40 (define @t182 () (not (= @t157 (tptp.app (tptp.app (tptp.cons @t181 tptp.nil) (tptp.cons @t180 tptp.nil)) @t179)))) % 1.21/1.40 (define @t183 () (not (tptp.ssList @t179))) % 1.21/1.40 (define @t184 () (not (tptp.ssItem @t180))) % 1.21/1.40 (define @t185 () (not (tptp.ssItem @t181))) % 1.21/1.40 (define @t186 () (@var "BOUND_VARIABLE_11047" $$unsorted)) % 1.21/1.40 (define @t187 () (@var "BOUND_VARIABLE_11045" $$unsorted)) % 1.21/1.40 (define @t188 () (tptp.cons @t187 tptp.nil)) % 1.21/1.40 (define @t189 () (tptp.app (tptp.app @t188 @t124) @t186)) % 1.21/1.40 (define @t190 () (not (= @t2 @t189))) % 1.21/1.40 (define @t191 () (tptp.app (tptp.app @t124 @t188) @t186)) % 1.21/1.40 (define @t192 () (not (tptp.ssList @t186))) % 1.21/1.40 (define @t193 () (not (tptp.ssItem @t187))) % 1.21/1.40 (define @t194 () (not @t137)) % 1.21/1.40 (define @t195 () (@list @t28 @t187 @t186)) % 1.21/1.40 (define @t196 () (not (tptp.ssList @t157))) % 1.21/1.40 (define @t197 () (not @t17)) % 1.21/1.40 (define @t198 () (@list @t2 @t157 @t181 @t180 @t179 @t170 @t172 @t169 @t156 @t155 @t154)) % 1.21/1.40 (define @t199 () (forall @t198 (or @t197 @t196 (and (or (not (forall @t195 (or @t194 @t193 @t192 (not (= @t191 @t157)) @t190))) @t185 @t184 @t183 @t182 @t178 @t177 @t176 @t175 @t174) (or (not (forall @t168 (or @t167 @t166 @t165 (not (= @t164 @t157))))) @t161 @t160 @t159 @t158))))) % 1.21/1.40 (define @t200 () (@quantifiers_skolemize @t199 5)) % 1.21/1.40 (define @t201 () (tptp.ssItem @t200)) % 1.21/1.40 (define @t202 () (@quantifiers_skolemize @t199 7)) % 1.21/1.40 (define @t203 () (tptp.cons @t200 tptp.nil)) % 1.21/1.40 (define @t204 () (@quantifiers_skolemize @t199 6)) % 1.21/1.40 (define @t205 () (tptp.cons @t204 tptp.nil)) % 1.21/1.40 (define @t206 () (tptp.app (tptp.app @t205 @t203) @t202)) % 1.21/1.40 (define @t207 () (@quantifiers_skolemize @t199 0)) % 1.21/1.40 (define @t208 () (= @t207 @t206)) % 1.21/1.40 (define @t209 () (not @t208)) % 1.21/1.40 (define @t210 () (tptp.app (tptp.app @t203 @t205) @t202)) % 1.21/1.40 (define @t211 () (@quantifiers_skolemize @t199 1)) % 1.21/1.40 (define @t212 () (= @t211 @t210)) % 1.21/1.40 (define @t213 () (not @t212)) % 1.21/1.40 (define @t214 () (tptp.ssList @t202)) % 1.21/1.40 (define @t215 () (not @t214)) % 1.21/1.40 (define @t216 () (tptp.ssItem @t204)) % 1.21/1.40 (define @t217 () (not @t216)) % 1.21/1.40 (define @t218 () (not @t201)) % 1.21/1.40 (define @t219 () (@quantifiers_skolemize @t199 4)) % 1.21/1.40 (define @t220 () (@quantifiers_skolemize @t199 3)) % 1.21/1.40 (define @t221 () (@quantifiers_skolemize @t199 2)) % 1.21/1.40 (define @t222 () (not (= @t211 (tptp.app (tptp.app (tptp.cons @t221 tptp.nil) (tptp.cons @t220 tptp.nil)) @t219)))) % 1.21/1.40 (define @t223 () (not (tptp.ssList @t219))) % 1.21/1.40 (define @t224 () (not (tptp.ssItem @t220))) % 1.21/1.40 (define @t225 () (not (tptp.ssItem @t221))) % 1.21/1.40 (define @t226 () (not (= @t191 @t211))) % 1.21/1.40 (define @t227 () (forall @t195 (or @t194 @t193 @t192 @t226 (not (= @t189 @t207))))) % 1.21/1.40 (define @t228 () (not @t227)) % 1.21/1.40 (define @t229 () (or @t228 @t225 @t224 @t223 @t222 @t218 @t217 @t215 @t213 @t209)) % 1.21/1.40 (define @t230 () (not @t228)) % 1.21/1.40 (define @t231 () (@quantifiers_skolemize @t227 2)) % 1.21/1.40 (define @t232 () (@quantifiers_skolemize @t227 0)) % 1.21/1.40 (define @t233 () (tptp.cons @t232 tptp.nil)) % 1.21/1.40 (define @t234 () (@quantifiers_skolemize @t227 1)) % 1.21/1.40 (define @t235 () (tptp.cons @t234 tptp.nil)) % 1.21/1.40 (define @t236 () (tptp.app (tptp.app @t235 @t233) @t231)) % 1.21/1.40 (define @t237 () (tptp.app (tptp.app @t233 @t235) @t231)) % 1.21/1.40 (define @t238 () (= @t211 @t237)) % 1.21/1.40 (define @t239 () (not @t238)) % 1.21/1.40 (define @t240 () (tptp.ssList @t231)) % 1.21/1.40 (define @t241 () (not @t240)) % 1.21/1.40 (define @t242 () (tptp.ssItem @t234)) % 1.21/1.40 (define @t243 () (not @t242)) % 1.21/1.40 (define @t244 () (tptp.ssItem @t232)) % 1.21/1.40 (define @t245 () (not @t244)) % 1.21/1.40 (define @t246 () (or @t245 @t243 @t241 @t239 (not (= @t207 @t236)))) % 1.21/1.40 (define @t247 () (not @t246)) % 1.21/1.40 (define @t248 () (not (= @t236 @t207))) % 1.21/1.40 (define @t249 () (not (= @t237 @t211))) % 1.21/1.40 (define @t250 () (or @t245 @t243 @t241 @t249 @t248)) % 1.21/1.40 (define @t251 () (not @t250)) % 1.21/1.40 (define @t252 () (not (= @t157 @t164))) % 1.21/1.40 (define @t253 () (or @t167 @t166 @t165 @t252)) % 1.21/1.40 (define @t254 () (forall @t168 @t253)) % 1.21/1.40 (define @t255 () (not @t254)) % 1.21/1.40 (define @t256 () (or @t255 @t161 @t160 @t159 @t158)) % 1.21/1.40 (define @t257 () (not (= @t157 @t191))) % 1.21/1.40 (define @t258 () (or @t194 @t193 @t192 @t257 @t190)) % 1.21/1.40 (define @t259 () (forall @t195 @t258)) % 1.21/1.40 (define @t260 () (not @t259)) % 1.21/1.40 (define @t261 () (or @t260 @t185 @t184 @t183 @t182 @t178 @t177 @t176 @t175 @t174)) % 1.21/1.40 (define @t262 () (and @t261 @t256)) % 1.21/1.40 (define @t263 () (or @t197 @t196 @t262)) % 1.21/1.40 (define @t264 () (or @t196 @t262)) % 1.21/1.40 (define @t265 () (or @t197 @t264)) % 1.21/1.40 (define @t266 () (forall @t198 @t265)) % 1.21/1.40 (define @t267 () (@list @t157 @t181 @t180 @t179 @t170 @t172 @t169 @t156 @t155 @t154)) % 1.21/1.40 (define @t268 () (forall @t267 @t265)) % 1.21/1.40 (define @t269 () (forall @t267 @t264)) % 1.21/1.40 (define @t270 () (@var "BOUND_VARIABLE_11681" $$unsorted)) % 1.21/1.40 (define @t271 () (@var "BOUND_VARIABLE_11679" $$unsorted)) % 1.21/1.40 (define @t272 () (@var "BOUND_VARIABLE_11677" $$unsorted)) % 1.21/1.40 (define @t273 () (@var "BOUND_VARIABLE_11657" $$unsorted)) % 1.21/1.40 (define @t274 () (@var "BOUND_VARIABLE_11655" $$unsorted)) % 1.21/1.40 (define @t275 () (@var "BOUND_VARIABLE_11653" $$unsorted)) % 1.21/1.40 (define @t276 () (@var "BOUND_VARIABLE_11638" $$unsorted)) % 1.21/1.40 (define @t277 () (@var "BOUND_VARIABLE_11636" $$unsorted)) % 1.21/1.40 (define @t278 () (@var "BOUND_VARIABLE_11634" $$unsorted)) % 1.21/1.40 (define @t279 () (or @t197 @t269)) % 1.21/1.40 (define @t280 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t272 tptp.nil) (tptp.cons @t271 tptp.nil)) @t270)))) % 1.21/1.40 (define @t281 () (not (tptp.ssList @t270))) % 1.21/1.40 (define @t282 () (not (tptp.ssItem @t271))) % 1.21/1.40 (define @t283 () (not (tptp.ssItem @t272))) % 1.21/1.40 (define @t284 () (not (forall @t168 (or @t167 @t166 @t165 (not (= @t1 @t164)))))) % 1.21/1.40 (define @t285 () (or @t284 @t283 @t282 @t281 @t280)) % 1.21/1.40 (define @t286 () (tptp.cons @t275 tptp.nil)) % 1.21/1.40 (define @t287 () (tptp.cons @t274 tptp.nil)) % 1.21/1.40 (define @t288 () (not (= @t2 (tptp.app (tptp.app @t287 @t286) @t273)))) % 1.21/1.40 (define @t289 () (not (= @t1 (tptp.app (tptp.app @t286 @t287) @t273)))) % 1.21/1.40 (define @t290 () (not (tptp.ssList @t273))) % 1.21/1.40 (define @t291 () (not (tptp.ssItem @t274))) % 1.21/1.40 (define @t292 () (not (tptp.ssItem @t275))) % 1.21/1.40 (define @t293 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t278 tptp.nil) (tptp.cons @t277 tptp.nil)) @t276)))) % 1.21/1.40 (define @t294 () (not (tptp.ssList @t276))) % 1.21/1.40 (define @t295 () (not (tptp.ssItem @t277))) % 1.21/1.40 (define @t296 () (not (tptp.ssItem @t278))) % 1.21/1.40 (define @t297 () (not (= @t1 @t191))) % 1.21/1.40 (define @t298 () (or @t194 @t193 @t192 @t297 @t190)) % 1.21/1.40 (define @t299 () (not (forall @t195 @t298))) % 1.21/1.40 (define @t300 () (or @t299 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288)) % 1.21/1.40 (define @t301 () (not @t21)) % 1.21/1.40 (define @t302 () (@list @t1 @t278 @t277 @t276 @t275 @t274 @t273 @t272 @t271 @t270)) % 1.21/1.40 (define @t303 () (or @t197 (forall @t302 (or @t301 (and @t300 @t285))))) % 1.21/1.40 (define @t304 () (or @t283 @t282 @t281 @t280)) % 1.21/1.40 (define @t305 () (or @t284 @t304)) % 1.21/1.40 (define @t306 () (or @t292 @t291 @t290 @t289 @t288)) % 1.21/1.40 (define @t307 () (or @t296 @t295 @t294 @t293)) % 1.21/1.40 (define @t308 () (or @t299 @t307 @t306)) % 1.21/1.40 (define @t309 () (and @t308 @t305)) % 1.21/1.40 (define @t310 () (or @t301 @t309)) % 1.21/1.40 (define @t311 () (forall @t302 @t310)) % 1.21/1.40 (define @t312 () (@list @t278 @t277 @t276 @t275 @t274 @t273 @t272 @t271 @t270)) % 1.21/1.40 (define @t313 () (forall @t312 @t310)) % 1.21/1.40 (define @t314 () (@list @t272 @t271 @t270)) % 1.21/1.40 (define @t315 () (forall @t314 @t304)) % 1.21/1.40 (define @t316 () (@var "BOUND_VARIABLE_11595" $$unsorted)) % 1.21/1.40 (define @t317 () (@var "BOUND_VARIABLE_11593" $$unsorted)) % 1.21/1.40 (define @t318 () (@var "BOUND_VARIABLE_11591" $$unsorted)) % 1.21/1.40 (define @t319 () (or @t284 @t315)) % 1.21/1.40 (define @t320 () (forall @t314 @t305)) % 1.21/1.40 (define @t321 () (forall @t312 @t305)) % 1.21/1.40 (define @t322 () (forall (@list @t275 @t274 @t273) @t306)) % 1.21/1.40 (define @t323 () (@var "BOUND_VARIABLE_11540" $$unsorted)) % 1.21/1.40 (define @t324 () (@var "BOUND_VARIABLE_11538" $$unsorted)) % 1.21/1.40 (define @t325 () (@var "BOUND_VARIABLE_11536" $$unsorted)) % 1.21/1.40 (define @t326 () (forall (@list @t278 @t277 @t276) @t307)) % 1.21/1.40 (define @t327 () (@var "BOUND_VARIABLE_11534" $$unsorted)) % 1.21/1.40 (define @t328 () (@var "BOUND_VARIABLE_11532" $$unsorted)) % 1.21/1.40 (define @t329 () (@var "BOUND_VARIABLE_11530" $$unsorted)) % 1.21/1.40 (define @t330 () (or @t299 @t326 @t322)) % 1.21/1.40 (define @t331 () (forall (@list @t278 @t277 @t276 @t275 @t274 @t273) @t308)) % 1.21/1.40 (define @t332 () (forall @t312 @t308)) % 1.21/1.40 (define @t333 () (and @t332 @t321)) % 1.21/1.40 (define @t334 () (forall @t312 @t309)) % 1.21/1.40 (define @t335 () (or @t301 @t334)) % 1.21/1.40 (define @t336 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t318 tptp.nil) (tptp.cons @t317 tptp.nil)) @t316)))) % 1.21/1.40 (define @t337 () (not (tptp.ssList @t316))) % 1.21/1.40 (define @t338 () (not (tptp.ssItem @t317))) % 1.21/1.40 (define @t339 () (not (tptp.ssItem @t318))) % 1.21/1.40 (define @t340 () (or @t339 @t338 @t337 @t336)) % 1.21/1.40 (define @t341 () (@list @t318 @t317 @t316)) % 1.21/1.40 (define @t342 () (or @t284 (forall @t341 @t340))) % 1.21/1.40 (define @t343 () (tptp.cons @t325 tptp.nil)) % 1.21/1.40 (define @t344 () (tptp.cons @t324 tptp.nil)) % 1.21/1.40 (define @t345 () (not (= @t2 (tptp.app (tptp.app @t344 @t343) @t323)))) % 1.21/1.40 (define @t346 () (not (= @t1 (tptp.app (tptp.app @t343 @t344) @t323)))) % 1.21/1.40 (define @t347 () (not (tptp.ssList @t323))) % 1.21/1.40 (define @t348 () (not (tptp.ssItem @t324))) % 1.21/1.40 (define @t349 () (not (tptp.ssItem @t325))) % 1.21/1.40 (define @t350 () (or @t349 @t348 @t347 @t346 @t345)) % 1.21/1.40 (define @t351 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t329 tptp.nil) (tptp.cons @t328 tptp.nil)) @t327)))) % 1.21/1.40 (define @t352 () (not (tptp.ssList @t327))) % 1.21/1.40 (define @t353 () (not (tptp.ssItem @t328))) % 1.21/1.40 (define @t354 () (not (tptp.ssItem @t329))) % 1.21/1.40 (define @t355 () (or @t354 @t353 @t352 @t351)) % 1.21/1.40 (define @t356 () (or @t299 (forall (@list @t329 @t328 @t327) @t355) (forall (@list @t325 @t324 @t323) @t350))) % 1.21/1.40 (define @t357 () (and @t356 @t342)) % 1.21/1.40 (define @t358 () (or @t301 @t357)) % 1.21/1.40 (define @t359 () (forall @t7 @t358)) % 1.21/1.40 (define @t360 () (or @t197 @t359)) % 1.21/1.40 (define @t361 () (or @t197 @t358)) % 1.21/1.40 (define @t362 () (or @t301 @t197 @t357)) % 1.21/1.40 (define @t363 () (or @t284 @t340)) % 1.21/1.40 (define @t364 () (or @t284 @t339 @t338 @t337 @t336)) % 1.21/1.40 (define @t365 () (forall @t341 @t364)) % 1.21/1.40 (define @t366 () (@var "BOUND_VARIABLE_11589" $$unsorted)) % 1.21/1.40 (define @t367 () (@var "BOUND_VARIABLE_11587" $$unsorted)) % 1.21/1.40 (define @t368 () (@var "BOUND_VARIABLE_11585" $$unsorted)) % 1.21/1.40 (define @t369 () (@var "BOUND_VARIABLE_11583" $$unsorted)) % 1.21/1.40 (define @t370 () (@var "BOUND_VARIABLE_11581" $$unsorted)) % 1.21/1.40 (define @t371 () (@var "BOUND_VARIABLE_11579" $$unsorted)) % 1.21/1.40 (define @t372 () (forall (@list @t371 @t370 @t369 @t368 @t367 @t366 @t318 @t317 @t316) @t364)) % 1.21/1.40 (define @t373 () (or @t299 @t355 @t350)) % 1.21/1.40 (define @t374 () (@list @t329 @t328 @t327 @t325 @t324 @t323)) % 1.21/1.40 (define @t375 () (or @t299 @t354 @t353 @t352 @t351 @t349 @t348 @t347 @t346 @t345)) % 1.21/1.40 (define @t376 () (forall @t374 @t375)) % 1.21/1.40 (define @t377 () (@var "BOUND_VARIABLE_11546" $$unsorted)) % 1.21/1.40 (define @t378 () (@var "BOUND_VARIABLE_11544" $$unsorted)) % 1.21/1.40 (define @t379 () (@var "BOUND_VARIABLE_11542" $$unsorted)) % 1.21/1.40 (define @t380 () (forall (@list @t329 @t328 @t327 @t325 @t324 @t323 @t379 @t378 @t377) @t375)) % 1.21/1.40 (define @t381 () (@var "BOUND_VARIABLE_11491" $$unsorted)) % 1.21/1.40 (define @t382 () (@var "BOUND_VARIABLE_11489" $$unsorted)) % 1.21/1.40 (define @t383 () (@var "BOUND_VARIABLE_11487" $$unsorted)) % 1.21/1.40 (define @t384 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t383 tptp.nil) (tptp.cons @t382 tptp.nil)) @t381)))) % 1.21/1.40 (define @t385 () (not (tptp.ssList @t381))) % 1.21/1.40 (define @t386 () (not (tptp.ssItem @t382))) % 1.21/1.40 (define @t387 () (not (tptp.ssItem @t383))) % 1.21/1.40 (define @t388 () (or @t284 @t387 @t386 @t385 @t384)) % 1.21/1.40 (define @t389 () (@var "BOUND_VARIABLE_11467" $$unsorted)) % 1.21/1.40 (define @t390 () (@var "BOUND_VARIABLE_11465" $$unsorted)) % 1.21/1.40 (define @t391 () (@var "BOUND_VARIABLE_11463" $$unsorted)) % 1.21/1.40 (define @t392 () (@var "BOUND_VARIABLE_11448" $$unsorted)) % 1.21/1.40 (define @t393 () (@var "BOUND_VARIABLE_11446" $$unsorted)) % 1.21/1.40 (define @t394 () (@var "BOUND_VARIABLE_11444" $$unsorted)) % 1.21/1.40 (define @t395 () (@list @t394 @t393 @t392 @t391 @t390 @t389 @t383 @t382 @t381)) % 1.21/1.40 (define @t396 () (forall @t395 @t388)) % 1.21/1.40 (define @t397 () (@list @t394 @t393 @t392 @t391 @t390 @t389 @t383 @t382 @t381)) % 1.21/1.40 (define @t398 () (tptp.cons @t391 tptp.nil)) % 1.21/1.40 (define @t399 () (tptp.cons @t390 tptp.nil)) % 1.21/1.40 (define @t400 () (tptp.app (tptp.app @t399 @t398) @t389)) % 1.21/1.40 (define @t401 () (not (= @t1 (tptp.app (tptp.app @t398 @t399) @t389)))) % 1.21/1.40 (define @t402 () (not (tptp.ssList @t389))) % 1.21/1.40 (define @t403 () (not (tptp.ssItem @t390))) % 1.21/1.40 (define @t404 () (not (tptp.ssItem @t391))) % 1.21/1.40 (define @t405 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t394 tptp.nil) (tptp.cons @t393 tptp.nil)) @t392)))) % 1.21/1.40 (define @t406 () (not (tptp.ssList @t392))) % 1.21/1.40 (define @t407 () (not (tptp.ssItem @t393))) % 1.21/1.40 (define @t408 () (not (tptp.ssItem @t394))) % 1.21/1.40 (define @t409 () (or @t299 @t408 @t407 @t406 @t405 @t404 @t403 @t402 @t401 (not (= @t2 @t400)))) % 1.21/1.40 (define @t410 () (forall @t395 @t409)) % 1.21/1.40 (define @t411 () (and @t410 @t396)) % 1.21/1.40 (define @t412 () (and @t409 @t388)) % 1.21/1.40 (define @t413 () (forall @t395 @t412)) % 1.21/1.40 (define @t414 () (or @t197 @t413)) % 1.21/1.40 (define @t415 () (or @t197 @t412)) % 1.21/1.40 (define @t416 () (not (= @t2 @t2))) % 1.21/1.40 (define @t417 () (or @t197 @t416 @t412)) % 1.21/1.40 (define @t418 () (not (= @t12 @t400))) % 1.21/1.40 (define @t419 () (or @t299 @t408 @t407 @t406 @t405 @t404 @t403 @t402 @t401 @t418)) % 1.21/1.40 (define @t420 () (and @t419 @t388)) % 1.21/1.40 (define @t421 () (not @t15)) % 1.21/1.40 (define @t422 () (or @t142 @t421 @t142 @t420)) % 1.21/1.40 (define @t423 () (or @t421 @t142 @t420)) % 1.21/1.40 (define @t424 () (forall @t16 @t423)) % 1.21/1.40 (define @t425 () (forall @t395 @t424)) % 1.21/1.40 (define @t426 () (forall (@list @t394 @t393 @t392 @t391 @t390 @t389 @t383 @t382 @t381 @t12) @t423)) % 1.21/1.40 (define @t427 () (@list @t12 @t394 @t393 @t392 @t391 @t390 @t389 @t383 @t382 @t381)) % 1.21/1.40 (define @t428 () (or @t387 @t386 @t385 @t384)) % 1.21/1.40 (define @t429 () (or @t284 @t428)) % 1.21/1.40 (define @t430 () (or @t404 @t403 @t402 @t401 @t418)) % 1.21/1.40 (define @t431 () (or @t408 @t407 @t406 @t405)) % 1.21/1.40 (define @t432 () (or @t299 @t431 @t430)) % 1.21/1.40 (define @t433 () (and @t432 @t429)) % 1.21/1.40 (define @t434 () (or @t421 @t142 @t433)) % 1.21/1.40 (define @t435 () (forall @t427 @t434)) % 1.21/1.40 (define @t436 () (forall @t395 @t434)) % 1.21/1.40 (define @t437 () (@list @t383 @t382 @t381)) % 1.21/1.40 (define @t438 () (forall @t437 @t428)) % 1.21/1.40 (define @t439 () (@var "BOUND_VARIABLE_11404" $$unsorted)) % 1.21/1.40 (define @t440 () (@var "BOUND_VARIABLE_11402" $$unsorted)) % 1.21/1.40 (define @t441 () (@var "BOUND_VARIABLE_11400" $$unsorted)) % 1.21/1.40 (define @t442 () (or @t284 @t438)) % 1.21/1.40 (define @t443 () (forall @t437 @t429)) % 1.21/1.40 (define @t444 () (forall @t395 @t429)) % 1.21/1.40 (define @t445 () (forall (@list @t391 @t390 @t389) @t430)) % 1.21/1.40 (define @t446 () (@var "BOUND_VARIABLE_11349" $$unsorted)) % 1.21/1.40 (define @t447 () (@var "BOUND_VARIABLE_11347" $$unsorted)) % 1.21/1.40 (define @t448 () (@var "BOUND_VARIABLE_11345" $$unsorted)) % 1.21/1.40 (define @t449 () (forall (@list @t394 @t393 @t392) @t431)) % 1.21/1.40 (define @t450 () (@var "BOUND_VARIABLE_11343" $$unsorted)) % 1.21/1.40 (define @t451 () (@var "BOUND_VARIABLE_11341" $$unsorted)) % 1.21/1.40 (define @t452 () (@var "BOUND_VARIABLE_11339" $$unsorted)) % 1.21/1.40 (define @t453 () (or @t299 @t449 @t445)) % 1.21/1.40 (define @t454 () (forall (@list @t394 @t393 @t392 @t391 @t390 @t389) @t432)) % 1.21/1.40 (define @t455 () (forall @t395 @t432)) % 1.21/1.40 (define @t456 () (and @t455 @t444)) % 1.21/1.40 (define @t457 () (forall @t395 @t433)) % 1.21/1.40 (define @t458 () (or @t421 @t142 @t457)) % 1.21/1.40 (define @t459 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t441 tptp.nil) (tptp.cons @t440 tptp.nil)) @t439)))) % 1.21/1.40 (define @t460 () (not (tptp.ssList @t439))) % 1.21/1.40 (define @t461 () (not (tptp.ssItem @t440))) % 1.21/1.40 (define @t462 () (not (tptp.ssItem @t441))) % 1.21/1.40 (define @t463 () (or @t462 @t461 @t460 @t459)) % 1.21/1.40 (define @t464 () (@list @t441 @t440 @t439)) % 1.21/1.40 (define @t465 () (or @t284 (forall @t464 @t463))) % 1.21/1.40 (define @t466 () (tptp.cons @t448 tptp.nil)) % 1.21/1.40 (define @t467 () (tptp.cons @t447 tptp.nil)) % 1.21/1.40 (define @t468 () (not (= @t12 (tptp.app (tptp.app @t467 @t466) @t446)))) % 1.21/1.40 (define @t469 () (not (= @t1 (tptp.app (tptp.app @t466 @t467) @t446)))) % 1.21/1.40 (define @t470 () (not (tptp.ssList @t446))) % 1.21/1.40 (define @t471 () (not (tptp.ssItem @t447))) % 1.21/1.40 (define @t472 () (not (tptp.ssItem @t448))) % 1.21/1.40 (define @t473 () (or @t472 @t471 @t470 @t469 @t468)) % 1.21/1.40 (define @t474 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t452 tptp.nil) (tptp.cons @t451 tptp.nil)) @t450)))) % 1.21/1.40 (define @t475 () (not (tptp.ssList @t450))) % 1.21/1.40 (define @t476 () (not (tptp.ssItem @t451))) % 1.21/1.40 (define @t477 () (not (tptp.ssItem @t452))) % 1.21/1.40 (define @t478 () (or @t477 @t476 @t475 @t474)) % 1.21/1.40 (define @t479 () (or @t299 (forall (@list @t452 @t451 @t450) @t478) (forall (@list @t448 @t447 @t446) @t473))) % 1.21/1.40 (define @t480 () (and @t479 @t465)) % 1.21/1.40 (define @t481 () (or @t421 @t142 @t480)) % 1.21/1.40 (define @t482 () (forall @t16 @t481)) % 1.21/1.40 (define @t483 () (or @t301 @t482)) % 1.21/1.40 (define @t484 () (or @t301 @t481)) % 1.21/1.40 (define @t485 () (or @t421 @t142 @t301 @t480)) % 1.21/1.40 (define @t486 () (or @t142 @t301 @t480)) % 1.21/1.40 (define @t487 () (or @t284 @t463)) % 1.21/1.40 (define @t488 () (or @t284 @t462 @t461 @t460 @t459)) % 1.21/1.40 (define @t489 () (forall @t464 @t488)) % 1.21/1.40 (define @t490 () (@var "BOUND_VARIABLE_11398" $$unsorted)) % 1.21/1.40 (define @t491 () (@var "BOUND_VARIABLE_11396" $$unsorted)) % 1.21/1.40 (define @t492 () (@var "BOUND_VARIABLE_11394" $$unsorted)) % 1.21/1.40 (define @t493 () (@var "BOUND_VARIABLE_11392" $$unsorted)) % 1.21/1.40 (define @t494 () (@var "BOUND_VARIABLE_11390" $$unsorted)) % 1.21/1.40 (define @t495 () (@var "BOUND_VARIABLE_11388" $$unsorted)) % 1.21/1.40 (define @t496 () (forall (@list @t495 @t494 @t493 @t492 @t491 @t490 @t441 @t440 @t439) @t488)) % 1.21/1.40 (define @t497 () (or @t299 @t478 @t473)) % 1.21/1.40 (define @t498 () (@list @t452 @t451 @t450 @t448 @t447 @t446)) % 1.21/1.40 (define @t499 () (or @t299 @t477 @t476 @t475 @t474 @t472 @t471 @t470 @t469 @t468)) % 1.21/1.40 (define @t500 () (forall @t498 @t499)) % 1.21/1.40 (define @t501 () (@var "BOUND_VARIABLE_11355" $$unsorted)) % 1.21/1.40 (define @t502 () (@var "BOUND_VARIABLE_11353" $$unsorted)) % 1.21/1.40 (define @t503 () (@var "BOUND_VARIABLE_11351" $$unsorted)) % 1.21/1.40 (define @t504 () (forall (@list @t452 @t451 @t450 @t448 @t447 @t446 @t503 @t502 @t501) @t499)) % 1.21/1.40 (define @t505 () (@var "BOUND_VARIABLE_11296" $$unsorted)) % 1.21/1.40 (define @t506 () (@var "BOUND_VARIABLE_11294" $$unsorted)) % 1.21/1.40 (define @t507 () (@var "BOUND_VARIABLE_11292" $$unsorted)) % 1.21/1.40 (define @t508 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t507 tptp.nil) (tptp.cons @t506 tptp.nil)) @t505)))) % 1.21/1.40 (define @t509 () (not (tptp.ssList @t505))) % 1.21/1.40 (define @t510 () (not (tptp.ssItem @t506))) % 1.21/1.40 (define @t511 () (not (tptp.ssItem @t507))) % 1.21/1.40 (define @t512 () (or @t284 @t511 @t510 @t509 @t508)) % 1.21/1.40 (define @t513 () (@var "BOUND_VARIABLE_11272" $$unsorted)) % 1.21/1.40 (define @t514 () (@var "BOUND_VARIABLE_11270" $$unsorted)) % 1.21/1.40 (define @t515 () (@var "BOUND_VARIABLE_11268" $$unsorted)) % 1.21/1.40 (define @t516 () (@var "BOUND_VARIABLE_11253" $$unsorted)) % 1.21/1.40 (define @t517 () (@var "BOUND_VARIABLE_11251" $$unsorted)) % 1.21/1.40 (define @t518 () (@var "BOUND_VARIABLE_11249" $$unsorted)) % 1.21/1.40 (define @t519 () (@list @t518 @t517 @t516 @t515 @t514 @t513 @t507 @t506 @t505)) % 1.21/1.40 (define @t520 () (forall @t519 @t512)) % 1.21/1.40 (define @t521 () (@list @t518 @t517 @t516 @t515 @t514 @t513 @t507 @t506 @t505)) % 1.21/1.40 (define @t522 () (tptp.cons @t515 tptp.nil)) % 1.21/1.40 (define @t523 () (tptp.cons @t514 tptp.nil)) % 1.21/1.40 (define @t524 () (not (= @t12 (tptp.app (tptp.app @t523 @t522) @t513)))) % 1.21/1.40 (define @t525 () (tptp.app (tptp.app @t522 @t523) @t513)) % 1.21/1.40 (define @t526 () (not (tptp.ssList @t513))) % 1.21/1.40 (define @t527 () (not (tptp.ssItem @t514))) % 1.21/1.40 (define @t528 () (not (tptp.ssItem @t515))) % 1.21/1.40 (define @t529 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t518 tptp.nil) (tptp.cons @t517 tptp.nil)) @t516)))) % 1.21/1.40 (define @t530 () (not (tptp.ssList @t516))) % 1.21/1.40 (define @t531 () (not (tptp.ssItem @t517))) % 1.21/1.40 (define @t532 () (not (tptp.ssItem @t518))) % 1.21/1.40 (define @t533 () (or @t299 @t532 @t531 @t530 @t529 @t528 @t527 @t526 (not (= @t1 @t525)) @t524)) % 1.21/1.40 (define @t534 () (forall @t519 @t533)) % 1.21/1.40 (define @t535 () (and @t534 @t520)) % 1.21/1.40 (define @t536 () (and @t533 @t512)) % 1.21/1.40 (define @t537 () (forall @t519 @t536)) % 1.21/1.40 (define @t538 () (or @t301 @t537)) % 1.21/1.40 (define @t539 () (or @t301 @t536)) % 1.21/1.40 (define @t540 () (not (= @t1 @t1))) % 1.21/1.40 (define @t541 () (or @t301 @t540 @t536)) % 1.21/1.40 (define @t542 () (not (= @t10 @t164))) % 1.21/1.40 (define @t543 () (or @t167 @t166 @t165 @t542)) % 1.21/1.40 (define @t544 () (not (forall @t168 @t543))) % 1.21/1.40 (define @t545 () (or @t544 @t511 @t510 @t509 @t508)) % 1.21/1.40 (define @t546 () (not (= @t10 @t525))) % 1.21/1.40 (define @t547 () (or @t299 @t532 @t531 @t530 @t529 @t528 @t527 @t526 @t546 @t524)) % 1.21/1.40 (define @t548 () (and @t547 @t545)) % 1.21/1.40 (define @t549 () (not @t13)) % 1.21/1.40 (define @t550 () (or @t143 @t549 @t143 @t548)) % 1.21/1.40 (define @t551 () (or @t549 @t143 @t548)) % 1.21/1.40 (define @t552 () (forall @t14 @t551)) % 1.21/1.40 (define @t553 () (forall @t519 @t552)) % 1.21/1.40 (define @t554 () (forall (@list @t518 @t517 @t516 @t515 @t514 @t513 @t507 @t506 @t505 @t10) @t551)) % 1.21/1.40 (define @t555 () (@list @t10 @t518 @t517 @t516 @t515 @t514 @t513 @t507 @t506 @t505)) % 1.21/1.40 (define @t556 () (or @t511 @t510 @t509 @t508)) % 1.21/1.40 (define @t557 () (or @t544 @t556)) % 1.21/1.40 (define @t558 () (or @t528 @t527 @t526 @t546 @t524)) % 1.21/1.40 (define @t559 () (or @t532 @t531 @t530 @t529)) % 1.21/1.40 (define @t560 () (or @t299 @t559 @t558)) % 1.21/1.40 (define @t561 () (and @t560 @t557)) % 1.21/1.40 (define @t562 () (or @t549 @t143 @t561)) % 1.21/1.40 (define @t563 () (forall @t555 @t562)) % 1.21/1.40 (define @t564 () (forall @t519 @t562)) % 1.21/1.40 (define @t565 () (@list @t507 @t506 @t505)) % 1.21/1.40 (define @t566 () (forall @t565 @t556)) % 1.21/1.40 (define @t567 () (@var "BOUND_VARIABLE_11101" $$unsorted)) % 1.21/1.40 (define @t568 () (@var "BOUND_VARIABLE_11099" $$unsorted)) % 1.21/1.40 (define @t569 () (@list @t63 @t568 @t567)) % 1.21/1.40 (define @t570 () (or @t544 @t566)) % 1.21/1.40 (define @t571 () (forall @t565 @t557)) % 1.21/1.40 (define @t572 () (forall @t519 @t557)) % 1.21/1.40 (define @t573 () (forall (@list @t515 @t514 @t513) @t558)) % 1.21/1.40 (define @t574 () (@var "BOUND_VARIABLE_11156" $$unsorted)) % 1.21/1.40 (define @t575 () (@var "BOUND_VARIABLE_11154" $$unsorted)) % 1.21/1.40 (define @t576 () (forall (@list @t518 @t517 @t516) @t559)) % 1.21/1.40 (define @t577 () (or @t299 @t576 @t573)) % 1.21/1.40 (define @t578 () (forall (@list @t518 @t517 @t516 @t515 @t514 @t513) @t560)) % 1.21/1.40 (define @t579 () (forall @t519 @t560)) % 1.21/1.40 (define @t580 () (and @t579 @t572)) % 1.21/1.40 (define @t581 () (forall @t519 @t561)) % 1.21/1.40 (define @t582 () (or @t549 @t143 @t581)) % 1.21/1.40 (define @t583 () (not (= @t1 (tptp.app (tptp.app @t64 (tptp.cons @t568 tptp.nil)) @t567)))) % 1.21/1.40 (define @t584 () (not (tptp.ssList @t567))) % 1.21/1.40 (define @t585 () (not (tptp.ssItem @t568))) % 1.21/1.40 (define @t586 () (not @t76)) % 1.21/1.40 (define @t587 () (or @t586 @t585 @t584 @t583)) % 1.21/1.40 (define @t588 () (@list @t63 @t568 @t567)) % 1.21/1.40 (define @t589 () (forall @t588 @t587)) % 1.21/1.40 (define @t590 () (tptp.cons @t575 tptp.nil)) % 1.21/1.40 (define @t591 () (not (= @t12 (tptp.app (tptp.app @t590 @t101) @t574)))) % 1.21/1.40 (define @t592 () (not (= @t10 (tptp.app (tptp.app @t101 @t590) @t574)))) % 1.21/1.40 (define @t593 () (not (tptp.ssList @t574))) % 1.21/1.40 (define @t594 () (not (tptp.ssItem @t575))) % 1.21/1.40 (define @t595 () (not @t119)) % 1.21/1.40 (define @t596 () (or @t595 @t594 @t593 @t592 @t591)) % 1.21/1.40 (define @t597 () (@list @t100 @t575 @t574)) % 1.21/1.40 (define @t598 () (and (or @t299 @t589 (forall @t597 @t596)) (or @t544 @t589))) % 1.21/1.40 (define @t599 () (or @t549 @t143 @t598)) % 1.21/1.40 (define @t600 () (forall @t14 @t599)) % 1.21/1.40 (define @t601 () (or @t142 @t600)) % 1.21/1.40 (define @t602 () (or @t142 @t599)) % 1.21/1.40 (define @t603 () (or @t549 @t143 @t142 @t598)) % 1.21/1.40 (define @t604 () (or @t143 @t142 @t598)) % 1.21/1.40 (define @t605 () (or @t585 @t584 @t583)) % 1.21/1.40 (define @t606 () (or @t586 @t605)) % 1.21/1.40 (define @t607 () (forall @t588 @t606)) % 1.21/1.40 (define @t608 () (@list @t568 @t567)) % 1.21/1.40 (define @t609 () (forall @t608 @t606)) % 1.21/1.40 (define @t610 () (forall @t608 @t605)) % 1.21/1.40 (define @t611 () (@var "BOUND_VARIABLE_11081" $$unsorted)) % 1.21/1.40 (define @t612 () (or @t586 @t610)) % 1.21/1.40 (define @t613 () (not (= @t1 (tptp.app @t65 @t611)))) % 1.21/1.40 (define @t614 () (not (tptp.ssList @t611))) % 1.21/1.40 (define @t615 () (not @t72)) % 1.21/1.40 (define @t616 () (or @t615 @t614 @t613)) % 1.21/1.40 (define @t617 () (@list @t62 @t611)) % 1.21/1.40 (define @t618 () (forall @t617 @t616)) % 1.21/1.40 (define @t619 () (or @t614 @t613)) % 1.21/1.40 (define @t620 () (or @t615 @t619)) % 1.21/1.40 (define @t621 () (forall @t617 @t620)) % 1.21/1.40 (define @t622 () (@list @t611)) % 1.21/1.40 (define @t623 () (forall @t622 @t620)) % 1.21/1.40 (define @t624 () (forall @t622 @t619)) % 1.21/1.40 (define @t625 () (or @t615 @t624)) % 1.21/1.40 (define @t626 () (not (= @t1 @t66))) % 1.21/1.40 (define @t627 () (forall @t70 (or (not @t68) @t626))) % 1.21/1.40 (define @t628 () (or @t166 @t165 @t542)) % 1.21/1.40 (define @t629 () (or @t167 @t628)) % 1.21/1.40 (define @t630 () (forall @t168 @t629)) % 1.21/1.40 (define @t631 () (@list @t163 @t162)) % 1.21/1.40 (define @t632 () (forall @t631 @t629)) % 1.21/1.40 (define @t633 () (forall @t631 @t628)) % 1.21/1.40 (define @t634 () (@var "BOUND_VARIABLE_11197" $$unsorted)) % 1.21/1.40 (define @t635 () (or @t167 @t633)) % 1.21/1.40 (define @t636 () (not (= @t10 (tptp.app @t84 @t634)))) % 1.21/1.40 (define @t637 () (not (tptp.ssList @t634))) % 1.21/1.40 (define @t638 () (not @t90)) % 1.21/1.40 (define @t639 () (or @t638 @t637 @t636)) % 1.21/1.40 (define @t640 () (@list @t81 @t634)) % 1.21/1.40 (define @t641 () (forall @t640 @t639)) % 1.21/1.40 (define @t642 () (not @t641)) % 1.21/1.40 (define @t643 () (and @t94 @t642)) % 1.21/1.40 (define @t644 () (forall @t96 (not @t643))) % 1.21/1.40 (define @t645 () (not @t644)) % 1.21/1.40 (define @t646 () (or @t637 @t636)) % 1.21/1.40 (define @t647 () (or @t638 @t646)) % 1.21/1.40 (define @t648 () (forall @t640 @t647)) % 1.21/1.40 (define @t649 () (@list @t634)) % 1.21/1.40 (define @t650 () (forall @t649 @t647)) % 1.21/1.40 (define @t651 () (forall @t649 @t646)) % 1.21/1.40 (define @t652 () (or @t638 @t651)) % 1.21/1.40 (define @t653 () (= @t10 @t85)) % 1.21/1.40 (define @t654 () (forall @t88 (or (not @t86) (not @t653)))) % 1.21/1.40 (define @t655 () (not @t654)) % 1.21/1.40 (define @t656 () (and @t90 @t655)) % 1.21/1.40 (define @t657 () (forall @t92 (not @t656))) % 1.21/1.40 (define @t658 () (not @t657)) % 1.21/1.40 (define @t659 () (and @t86 @t653)) % 1.21/1.40 (define @t660 () (forall @t88 (not @t659))) % 1.21/1.40 (define @t661 () (not @t660)) % 1.21/1.40 (define @t662 () (or @t594 @t593 @t592 @t591)) % 1.21/1.40 (define @t663 () (or @t595 @t662)) % 1.21/1.40 (define @t664 () (forall @t597 @t663)) % 1.21/1.40 (define @t665 () (@list @t575 @t574)) % 1.21/1.40 (define @t666 () (forall @t665 @t663)) % 1.21/1.40 (define @t667 () (forall @t665 @t662)) % 1.21/1.40 (define @t668 () (@var "BOUND_VARIABLE_11133" $$unsorted)) % 1.21/1.40 (define @t669 () (or @t595 @t667)) % 1.21/1.40 (define @t670 () (not (= @t12 (tptp.app @t104 @t668)))) % 1.21/1.40 (define @t671 () (not (= @t10 (tptp.app @t107 @t668)))) % 1.21/1.40 (define @t672 () (not (tptp.ssList @t668))) % 1.21/1.40 (define @t673 () (not @t115)) % 1.21/1.40 (define @t674 () (or @t673 @t672 @t671 @t670)) % 1.21/1.40 (define @t675 () (@list @t102 @t668)) % 1.21/1.40 (define @t676 () (forall @t675 @t674)) % 1.21/1.40 (define @t677 () (or @t672 @t671 @t670)) % 1.21/1.40 (define @t678 () (or @t673 @t677)) % 1.21/1.40 (define @t679 () (forall @t675 @t678)) % 1.21/1.40 (define @t680 () (@list @t668)) % 1.21/1.40 (define @t681 () (forall @t680 @t678)) % 1.21/1.40 (define @t682 () (forall @t680 @t677)) % 1.21/1.40 (define @t683 () (or @t673 @t682)) % 1.21/1.40 (define @t684 () (not (= @t12 @t105))) % 1.21/1.40 (define @t685 () (not (= @t10 @t108))) % 1.21/1.40 (define @t686 () (not @t111)) % 1.21/1.40 (define @t687 () (or @t686 @t685 @t684)) % 1.21/1.40 (define @t688 () (forall @t113 @t687)) % 1.21/1.40 (define @t689 () (or @t685 @t684)) % 1.21/1.40 (define @t690 () (or @t193 @t192 @t297 @t190)) % 1.21/1.40 (define @t691 () (or @t194 @t690)) % 1.21/1.40 (define @t692 () (forall @t195 @t691)) % 1.21/1.40 (define @t693 () (@list @t187 @t186)) % 1.21/1.40 (define @t694 () (forall @t693 @t691)) % 1.21/1.40 (define @t695 () (forall @t693 @t690)) % 1.21/1.40 (define @t696 () (@var "BOUND_VARIABLE_11020" $$unsorted)) % 1.21/1.40 (define @t697 () (or @t194 @t695)) % 1.21/1.40 (define @t698 () (not (= @t2 (tptp.app @t126 @t696)))) % 1.21/1.40 (define @t699 () (not (= @t1 (tptp.app @t128 @t696)))) % 1.21/1.40 (define @t700 () (not (tptp.ssList @t696))) % 1.21/1.40 (define @t701 () (not @t134)) % 1.21/1.40 (define @t702 () (or @t701 @t700 @t699 @t698)) % 1.21/1.40 (define @t703 () (@list @t27 @t696)) % 1.21/1.40 (define @t704 () (forall @t703 @t702)) % 1.21/1.40 (define @t705 () (not @t704)) % 1.21/1.40 (define @t706 () (and @t137 @t705)) % 1.21/1.40 (define @t707 () (forall @t33 (not @t706))) % 1.21/1.40 (define @t708 () (not @t707)) % 1.21/1.40 (define @t709 () (or @t700 @t699 @t698)) % 1.21/1.40 (define @t710 () (or @t701 @t709)) % 1.21/1.40 (define @t711 () (forall @t703 @t710)) % 1.21/1.40 (define @t712 () (@list @t696)) % 1.21/1.40 (define @t713 () (forall @t712 @t710)) % 1.21/1.40 (define @t714 () (forall @t712 @t709)) % 1.21/1.40 (define @t715 () (or @t701 @t714)) % 1.21/1.40 (define @t716 () (= @t2 @t127)) % 1.21/1.40 (define @t717 () (not @t716)) % 1.21/1.40 (define @t718 () (= @t1 @t129)) % 1.21/1.40 (define @t719 () (not @t718)) % 1.21/1.40 (define @t720 () (not @t130)) % 1.21/1.40 (define @t721 () (or @t720 @t719 @t717)) % 1.21/1.40 (define @t722 () (forall @t132 @t721)) % 1.21/1.40 (define @t723 () (not @t722)) % 1.21/1.40 (define @t724 () (and @t134 @t723)) % 1.21/1.40 (define @t725 () (forall @t31 (not @t724))) % 1.21/1.40 (define @t726 () (not @t725)) % 1.21/1.40 (define @t727 () (and @t130 @t718 @t716)) % 1.21/1.40 (define @t728 () (forall @t132 (not @t727))) % 1.21/1.40 (define @t729 () (not @t728)) % 1.21/1.40 (define @t730 () (@quantifiers_skolemize @t199 10)) % 1.21/1.40 (define @t731 () (@quantifiers_skolemize @t199 9)) % 1.21/1.40 (define @t732 () (@quantifiers_skolemize @t199 8)) % 1.21/1.40 (define @t733 () (tptp.app (tptp.app (tptp.cons @t732 tptp.nil) (tptp.cons @t731 tptp.nil)) @t730)) % 1.21/1.40 (define @t734 () (= @t211 @t733)) % 1.21/1.40 (define @t735 () (not @t734)) % 1.21/1.40 (define @t736 () (tptp.ssList @t730)) % 1.21/1.40 (define @t737 () (not @t736)) % 1.21/1.40 (define @t738 () (tptp.ssItem @t731)) % 1.21/1.40 (define @t739 () (not @t738)) % 1.21/1.40 (define @t740 () (tptp.ssItem @t732)) % 1.21/1.40 (define @t741 () (not @t740)) % 1.21/1.40 (define @t742 () (forall @t168 (or @t167 @t166 @t165 (not (= @t164 @t211))))) % 1.21/1.40 (define @t743 () (not @t742)) % 1.21/1.40 (define @t744 () (or @t743 @t741 @t739 @t737 @t735)) % 1.21/1.40 (define @t745 () (and @t229 @t744)) % 1.21/1.40 (define @t746 () (not (tptp.ssList @t211))) % 1.21/1.40 (define @t747 () (not (tptp.ssList @t207))) % 1.21/1.40 (define @t748 () (or @t747 @t746 @t745)) % 1.21/1.40 (define @t749 () (not @t748)) % 1.21/1.40 (define @t750 () (not @t199)) % 1.21/1.40 (define @t751 () (not (= @t207 @t189))) % 1.21/1.40 (define @t752 () (or @t194 @t193 @t192 @t226 @t751)) % 1.21/1.40 (define @t753 () (forall @t195 @t752)) % 1.21/1.40 (define @t754 () (not @t753)) % 1.21/1.40 (define @t755 () (or @t754 @t225 @t224 @t223 @t222 @t218 @t217 @t215 @t213 @t209)) % 1.21/1.40 (define @t756 () (and @t755 @t744)) % 1.21/1.40 (define @t757 () (or @t747 @t746 @t756)) % 1.21/1.40 (define @t758 () (not @t757)) % 1.21/1.40 (define @t759 () (@list true)) % 1.21/1.40 (define @t760 () (or @t245 @t243 @t241 @t239)) % 1.21/1.40 (define @t761 () (or @t245 @t243 @t241 @t249)) % 1.21/1.40 (define @t762 () (not (= @t206 @t207))) % 1.21/1.40 (define @t763 () (not (= @t210 @t211))) % 1.21/1.40 (define @t764 () (or @t218 @t217 @t215 @t763 @t762)) % 1.21/1.40 (define @t765 () (or @t218 @t217 @t215 @t213 @t209)) % 1.21/1.40 (define @t766 () (@list false)) % 1.21/1.40 (define @t767 () (@list @t744)) % 1.21/1.40 (define @t768 () (not (= @t733 @t211))) % 1.21/1.40 (define @t769 () (or @t741 @t739 @t737 @t768)) % 1.21/1.40 (define @t770 () (or @t741 @t739 @t737 @t735)) % 1.21/1.40 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.21/1.40 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.21/1.40 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 1.21/1.40 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.21/1.40 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.21/1.40 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.21/1.40 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 1.21/1.40 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 1.21/1.40 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 1.21/1.40 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 1.21/1.40 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 1.21/1.40 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 1.21/1.40 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 1.21/1.40 (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) @t36))))))))))))) % 1.21/1.40 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 1.21/1.40 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 1.21/1.40 (assume @p17 (tptp.ssList tptp.nil)) % 1.21/1.40 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 1.21/1.40 (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) @t38))))))))))) % 1.21/1.40 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 1.21/1.40 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 1.21/1.40 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 1.21/1.40 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 1.21/1.40 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 1.21/1.40 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 1.21/1.40 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 1.21/1.40 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 1.21/1.40 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.21/1.40 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 1.21/1.40 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 1.21/1.40 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.21/1.40 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 1.21/1.40 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 1.21/1.40 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 1.21/1.40 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 1.21/1.40 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 1.21/1.40 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 1.21/1.40 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.21/1.40 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.21/1.40 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.21/1.40 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.21/1.40 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.21/1.40 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.21/1.40 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 1.21/1.40 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.21/1.40 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 1.21/1.40 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.21/1.40 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.21/1.40 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.21/1.40 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 1.21/1.40 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.21/1.40 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 1.21/1.40 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.21/1.40 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 1.21/1.40 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 1.21/1.40 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 1.21/1.40 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.21/1.40 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 1.21/1.40 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 1.21/1.40 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.21/1.40 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 1.21/1.40 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.21/1.40 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 1.21/1.40 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.21/1.40 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 1.21/1.40 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.21/1.40 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 1.21/1.40 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 1.21/1.40 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.21/1.40 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 1.21/1.40 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 1.21/1.40 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.21/1.40 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 1.21/1.40 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.21/1.40 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 1.21/1.40 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 1.21/1.40 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 1.21/1.40 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 1.21/1.40 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 1.21/1.40 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 1.21/1.40 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 1.21/1.40 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 1.21/1.40 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 1.21/1.40 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.21/1.40 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 1.21/1.40 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 1.21/1.40 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 1.21/1.40 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.21/1.40 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.21/1.40 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.21/1.40 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 1.21/1.40 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 1.21/1.40 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 1.21/1.40 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 1.21/1.40 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.21/1.40 (assume @p96 @t153) % 1.21/1.40 (assume @p97 true) % 1.21/1.40 (step @p98 :rule bool-double-not-elim :args (@t201)) % 1.21/1.40 (step @p99 :rule refl :args (@t229)) % 1.21/1.40 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t229 (not @t218)))) % 1.21/1.40 (step @p101 :rule cnf_or_neg :args (@t229 5)) % 1.21/1.40 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 1.21/1.40 (step @p103 :rule reordering :premises (@p102) :args ((or @t201 @t229))) % 1.21/1.40 (step @p104 :rule bool-double-not-elim :args (@t216)) % 1.21/1.40 (step @p105 :rule nary_cong :premises (@p99 @p104) :args ((or @t229 (not @t217)))) % 1.21/1.40 (step @p106 :rule cnf_or_neg :args (@t229 6)) % 1.21/1.40 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 1.21/1.40 (step @p108 :rule reordering :premises (@p107) :args ((or @t216 @t229))) % 1.21/1.40 (step @p109 :rule bool-double-not-elim :args (@t214)) % 1.21/1.40 (step @p110 :rule nary_cong :premises (@p99 @p109) :args ((or @t229 (not @t215)))) % 1.21/1.40 (step @p111 :rule cnf_or_neg :args (@t229 7)) % 1.21/1.40 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 1.21/1.40 (step @p113 :rule reordering :premises (@p112) :args ((or @t214 @t229))) % 1.21/1.40 (step @p114 :rule bool-double-not-elim :args (@t212)) % 1.21/1.40 (step @p115 :rule nary_cong :premises (@p99 @p114) :args ((or @t229 (not @t213)))) % 1.21/1.40 (step @p116 :rule cnf_or_neg :args (@t229 8)) % 1.21/1.40 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 1.21/1.40 (step @p118 :rule reordering :premises (@p117) :args ((or @t212 @t229))) % 1.21/1.40 (step @p119 :rule bool-double-not-elim :args (@t208)) % 1.21/1.40 (step @p120 :rule nary_cong :premises (@p99 @p119) 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eq_resolve :premises (@p773 @p772)) % 1.21/1.41 (step @p775 :rule reordering :premises (@p774) :args ((or @t740 @t744))) % 1.21/1.41 (step @p776 :rule chain_m_resolution :premises (@p775 @p770) :args (@t740 @t759 @t767)) % 1.21/1.41 (step @p777 :rule bool-double-not-elim :args (@t738)) % 1.21/1.41 (step @p778 :rule nary_cong :premises (@p680 @p777) :args ((or @t744 (not @t739)))) % 1.21/1.41 (step @p779 :rule cnf_or_neg :args (@t744 2)) % 1.21/1.41 (step @p780 :rule eq_resolve :premises (@p779 @p778)) % 1.21/1.41 (step @p781 :rule reordering :premises (@p780) :args ((or @t738 @t744))) % 1.21/1.41 (step @p782 :rule chain_m_resolution :premises (@p781 @p770) :args (@t738 @t759 @t767)) % 1.21/1.41 (step @p783 :rule chain_m_resolution :premises (@p740 @p770) :args (@t742 @t759 @t767)) % 1.21/1.41 (step @p784 :rule eq-symm :args (@t733 @t211)) % 1.21/1.41 (step @p785 :rule cong :premises (@p784) :args (@t768)) % 1.21/1.41 (step @p786 :rule refl :args (@t737)) % 1.21/1.41 (step @p787 :rule refl :args (@t739)) % 1.21/1.41 (step @p788 :rule refl :args (@t741)) % 1.21/1.41 (step @p789 :rule nary_cong :premises (@p788 @p787 @p786 @p785) :args (@t769)) % 1.21/1.41 (step @p790 :rule cong :premises (@p744 @p789) :args ((=> @t742 @t769))) % 1.21/1.41 (assume-push @p821 @t742) % 1.21/1.41 (step @p792 :rule instantiate :premises (@p821) :args ((@list @t732 @t731 @t730))) % 1.21/1.41 (step-pop @p822 :rule scope :premises (@p792)) % 1.21/1.41 (step @p793 :rule process_scope :premises (@p822) :args (@t769)) % 1.21/1.41 (step @p795 :rule eq_resolve :premises (@p793 @p790)) % 1.21/1.41 (step @p796 :rule implies_elim :premises (@p795)) % 1.21/1.41 (step @p797 :rule chain_m_resolution :premises (@p796 @p783) :args (@t770 @t766 (@list @t742))) % 1.21/1.41 (step @p798 :rule bool-double-not-elim :args (@t736)) % 1.21/1.41 (step @p799 :rule nary_cong :premises (@p680 @p798) :args ((or @t744 (not @t737)))) % 1.21/1.41 (step @p800 :rule cnf_or_neg :args (@t744 3)) % 1.21/1.41 (step @p801 :rule eq_resolve :premises (@p800 @p799)) % 1.21/1.41 (step @p802 :rule reordering :premises (@p801) :args ((or @t736 @t744))) % 1.21/1.41 (step @p803 :rule chain_m_resolution :premises (@p802 @p770) :args (@t736 @t759 @t767)) % 1.21/1.41 (step @p804 :rule bool-double-not-elim :args (@t734)) % 1.21/1.41 (step @p805 :rule nary_cong :premises (@p680 @p804) :args ((or @t744 (not @t735)))) % 1.21/1.41 (step @p806 :rule cnf_or_neg :args (@t744 4)) % 1.21/1.41 (step @p807 :rule eq_resolve :premises (@p806 @p805)) % 1.21/1.41 (step @p808 :rule reordering :premises (@p807) :args ((or @t734 @t744))) % 1.21/1.41 (step @p809 :rule chain_m_resolution :premises (@p808 @p770) :args (@t734 @t759 @t767)) % 1.21/1.41 (step @p810 :rule cnf_or_pos :args (@t770)) % 1.21/1.41 (step @p811 :rule reordering :premises (@p810) :args ((or @t741 @t739 @t737 @t735 (not @t770)))) % 1.21/1.41 (step @p812 false :rule chain_m_resolution :premises (@p811 @p809 @p803 @p797 @p782 @p776) :args (false (@list false false false false false) (@list @t734 @t736 @t770 @t738 @t740))) % 1.21/1.41 ) % 1.21/1.41 % SZS output end Proof % 1.21/1.41 % cvc5 exiting %------------------------------------------------------------------------------