%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC314+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 : n006.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 08:58:50 AM UTC 2026 % Result : Theorem 0.38s 0.78s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC314+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.36 % Computer : n006.cluster.edu % 0.19/0.36 % Model : x86_64 x86_64 % 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.36 % Memory : 8042.1875MB % 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.36 % CPULimit : 300 % 0.19/0.36 % WCLimit : 300 % 0.19/0.36 % DateTime : Tue Jun 2 19:40:34 EDT 2026 % 0.19/0.36 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.78 % SZS status Theorem % 0.38/0.78 % SZS output start Proof % 0.38/0.78 ( % 0.38/0.78 (declare-sort $$unsorted 0) % 0.38/0.78 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.78 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.78 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.78 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.78 (declare-const tptp.nil $$unsorted) % 0.38/0.78 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.78 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.78 (define @t1 () (@var "V" $$unsorted)) % 0.38/0.78 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.78 (define @t3 () (= @t2 @t1)) % 0.38/0.78 (define @t4 () (not @t3)) % 0.38/0.78 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.38/0.78 (define @t6 () (tptp.ssItem @t1)) % 0.38/0.78 (define @t7 () (@list @t1)) % 0.38/0.78 (define @t8 () (tptp.ssItem @t2)) % 0.38/0.78 (define @t9 () (@list @t2)) % 0.38/0.78 (define @t10 () (@var "X" $$unsorted)) % 0.38/0.78 (define @t11 () (tptp.cons @t1 @t10)) % 0.38/0.78 (define @t12 () (@var "W" $$unsorted)) % 0.38/0.78 (define @t13 () (tptp.ssList @t10)) % 0.38/0.78 (define @t14 () (@list @t10)) % 0.38/0.78 (define @t15 () (tptp.ssList @t12)) % 0.38/0.78 (define @t16 () (@list @t12)) % 0.38/0.78 (define @t17 () (tptp.ssList @t2)) % 0.38/0.78 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.38/0.78 (define @t19 () (tptp.app @t1 @t12)) % 0.38/0.78 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.38/0.78 (define @t21 () (tptp.ssList @t1)) % 0.38/0.78 (define @t22 () (tptp.app @t12 @t1)) % 0.38/0.78 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.38/0.78 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.38/0.78 (define @t25 () (tptp.leq @t12 @t1)) % 0.38/0.78 (define @t26 () (tptp.leq @t1 @t12)) % 0.38/0.78 (define @t27 () (@var "Z" $$unsorted)) % 0.38/0.78 (define @t28 () (@var "Y" $$unsorted)) % 0.38/0.78 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.38/0.78 (define @t30 () (tptp.ssList @t27)) % 0.38/0.78 (define @t31 () (@list @t27)) % 0.38/0.78 (define @t32 () (tptp.ssList @t28)) % 0.38/0.78 (define @t33 () (@list @t28)) % 0.38/0.78 (define @t34 () (tptp.ssItem @t12)) % 0.38/0.78 (define @t35 () (tptp.lt @t1 @t12)) % 0.38/0.78 (define @t36 () (= @t1 @t12)) % 0.38/0.78 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.38/0.78 (define @t38 () (=> @t17 @t37)) % 0.38/0.78 (define @t39 () (forall @t9 @t38)) % 0.38/0.78 (define @t40 () (tptp.cons @t1 @t2)) % 0.38/0.78 (define @t41 () (tptp.ssList @t40)) % 0.38/0.78 (define @t42 () (forall @t7 (=> @t6 @t41))) % 0.38/0.78 (define @t43 () (=> @t17 @t42)) % 0.38/0.78 (define @t44 () (forall @t9 @t43)) % 0.38/0.78 (define @t45 () (tptp.ssList tptp.nil)) % 0.38/0.78 (define @t46 () (not (= @t40 @t2))) % 0.38/0.78 (define @t47 () (=> @t6 @t46)) % 0.38/0.78 (define @t48 () (forall @t7 @t47)) % 0.38/0.78 (define @t49 () (=> @t17 @t48)) % 0.38/0.78 (define @t50 () (forall @t9 @t49)) % 0.38/0.78 (define @t51 () (= @t1 @t2)) % 0.38/0.78 (define @t52 () (tptp.cons @t12 @t1)) % 0.38/0.78 (define @t53 () (= tptp.nil @t2)) % 0.38/0.78 (define @t54 () (tptp.hd @t2)) % 0.38/0.78 (define @t55 () (not @t53)) % 0.38/0.78 (define @t56 () (tptp.hd @t40)) % 0.38/0.78 (define @t57 () (=> @t6 (= @t56 @t1))) % 0.38/0.78 (define @t58 () (forall @t7 @t57)) % 0.38/0.78 (define @t59 () (=> @t17 @t58)) % 0.38/0.78 (define @t60 () (forall @t9 @t59)) % 0.38/0.78 (define @t61 () (tptp.tl @t2)) % 0.38/0.78 (define @t62 () (tptp.tl @t40)) % 0.38/0.78 (define @t63 () (=> @t6 (= @t62 @t2))) % 0.38/0.78 (define @t64 () (forall @t7 @t63)) % 0.38/0.78 (define @t65 () (=> @t17 @t64)) % 0.38/0.78 (define @t66 () (forall @t9 @t65)) % 0.38/0.78 (define @t67 () (tptp.app @t2 @t1)) % 0.38/0.78 (define @t68 () (tptp.ssList @t67)) % 0.38/0.78 (define @t69 () (forall @t7 (=> @t21 @t68))) % 0.38/0.78 (define @t70 () (=> @t17 @t69)) % 0.38/0.78 (define @t71 () (forall @t9 @t70)) % 0.38/0.78 (define @t72 () (tptp.app @t1 @t2)) % 0.38/0.78 (define @t73 () (tptp.app tptp.nil @t2)) % 0.38/0.78 (define @t74 () (=> @t17 (= @t73 @t2))) % 0.38/0.78 (define @t75 () (forall @t9 @t74)) % 0.38/0.78 (define @t76 () (tptp.leq @t1 @t2)) % 0.38/0.78 (define @t77 () (tptp.leq @t2 @t1)) % 0.38/0.78 (define @t78 () (tptp.geq @t2 @t1)) % 0.38/0.78 (define @t79 () (tptp.lt @t1 @t2)) % 0.38/0.78 (define @t80 () (tptp.lt @t2 @t1)) % 0.38/0.78 (define @t81 () (tptp.lt @t2 @t12)) % 0.38/0.78 (define @t82 () (tptp.gt @t2 @t1)) % 0.38/0.78 (define @t83 () (tptp.memberP @t12 @t2)) % 0.38/0.78 (define @t84 () (tptp.app @t12 @t2)) % 0.38/0.78 (define @t85 () (tptp.cons @t2 tptp.nil)) % 0.38/0.78 (define @t86 () (tptp.hd @t1)) % 0.38/0.78 (define @t87 () (= tptp.nil @t1)) % 0.38/0.78 (define @t88 () (not @t87)) % 0.38/0.78 (define @t89 () (tptp.cons @t2 @t1)) % 0.38/0.78 (define @t90 () (tptp.tl @t1)) % 0.38/0.78 (define @t91 () (= @t12 @t2)) % 0.38/0.78 (define @t92 () (and @t87 @t53)) % 0.38/0.78 (define @t93 () (= tptp.nil @t67)) % 0.38/0.78 (define @t94 () (= @t93 @t92)) % 0.38/0.78 (define @t95 () (=> @t21 @t94)) % 0.38/0.78 (define @t96 () (forall @t7 @t95)) % 0.38/0.78 (define @t97 () (=> @t17 @t96)) % 0.38/0.78 (define @t98 () (forall @t9 @t97)) % 0.38/0.78 (define @t99 () (tptp.hd @t67)) % 0.38/0.78 (define @t100 () (=> @t55 (= @t99 @t54))) % 0.38/0.78 (define @t101 () (=> @t21 @t100)) % 0.38/0.78 (define @t102 () (forall @t7 @t101)) % 0.38/0.78 (define @t103 () (=> @t17 @t102)) % 0.38/0.78 (define @t104 () (forall @t9 @t103)) % 0.38/0.78 (define @t105 () (= (tptp.tl @t67) (tptp.app @t61 @t1))) % 0.38/0.78 (define @t106 () (=> @t55 @t105)) % 0.38/0.78 (define @t107 () (=> @t21 @t106)) % 0.38/0.78 (define @t108 () (forall @t7 @t107)) % 0.38/0.78 (define @t109 () (=> @t17 @t108)) % 0.38/0.78 (define @t110 () (forall @t9 @t109)) % 0.38/0.78 (define @t111 () (or @t88 @t53)) % 0.38/0.78 (define @t112 () (@var "X3" $$unsorted)) % 0.38/0.78 (define @t113 () (tptp.cons @t112 tptp.nil)) % 0.38/0.78 (define @t114 () (@var "X4" $$unsorted)) % 0.38/0.78 (define @t115 () (tptp.app @t114 @t113)) % 0.38/0.78 (define @t116 () (tptp.app @t113 @t114)) % 0.38/0.78 (define @t117 () (not (= @t116 @t1))) % 0.38/0.78 (define @t118 () (not (tptp.ssList @t114))) % 0.38/0.78 (define @t119 () (or @t118 @t117 (= @t115 @t2))) % 0.38/0.78 (define @t120 () (@list @t114)) % 0.38/0.78 (define @t121 () (forall @t120 @t119)) % 0.38/0.78 (define @t122 () (tptp.ssItem @t112)) % 0.38/0.78 (define @t123 () (=> @t122 @t121)) % 0.38/0.78 (define @t124 () (@list @t112)) % 0.38/0.78 (define @t125 () (forall @t124 @t123)) % 0.38/0.78 (define @t126 () (and @t125 @t111)) % 0.38/0.78 (define @t127 () (tptp.neq @t10 tptp.nil)) % 0.38/0.78 (define @t128 () (tptp.neq tptp.nil @t10)) % 0.38/0.78 (define @t129 () (@var "X2" $$unsorted)) % 0.38/0.78 (define @t130 () (tptp.hd @t10)) % 0.38/0.78 (define @t131 () (@var "X1" $$unsorted)) % 0.38/0.78 (define @t132 () (tptp.cons @t129 tptp.nil)) % 0.38/0.78 (define @t133 () (tptp.ssItem @t129)) % 0.38/0.78 (define @t134 () (and @t133 (= @t132 @t131) (= @t130 @t129) @t128)) % 0.38/0.78 (define @t135 () (@list @t129)) % 0.38/0.78 (define @t136 () (exists @t135 @t134)) % 0.38/0.78 (define @t137 () (tptp.app @t27 @t131)) % 0.38/0.78 (define @t138 () (tptp.tl @t10)) % 0.38/0.78 (define @t139 () (tptp.ssList @t131)) % 0.38/0.78 (define @t140 () (and @t139 (= @t138 @t27) (= @t137 @t28) @t136 @t128)) % 0.38/0.78 (define @t141 () (@list @t131)) % 0.38/0.78 (define @t142 () (exists @t141 @t140)) % 0.38/0.78 (define @t143 () (and @t30 @t142)) % 0.38/0.78 (define @t144 () (exists @t31 @t143)) % 0.38/0.78 (define @t145 () (= @t12 @t28)) % 0.38/0.78 (define @t146 () (not @t145)) % 0.38/0.78 (define @t147 () (and @t32 @t146 @t144)) % 0.38/0.78 (define @t148 () (exists @t33 @t147)) % 0.38/0.78 (define @t149 () (and @t148 @t127)) % 0.38/0.78 (define @t150 () (not (= tptp.nil @t12))) % 0.38/0.78 (define @t151 () (and @t150 (= tptp.nil @t10))) % 0.38/0.78 (define @t152 () (not (= @t2 @t12))) % 0.38/0.78 (define @t153 () (not (= @t1 @t10))) % 0.38/0.78 (define @t154 () (not @t13)) % 0.38/0.78 (define @t155 () (or @t154 @t153 @t152 @t151 @t149 @t126)) % 0.38/0.78 (define @t156 () (forall @t14 @t155)) % 0.38/0.78 (define @t157 () (=> @t15 @t156)) % 0.38/0.78 (define @t158 () (forall @t16 @t157)) % 0.38/0.78 (define @t159 () (=> @t21 @t158)) % 0.38/0.78 (define @t160 () (forall @t7 @t159)) % 0.38/0.78 (define @t161 () (=> @t17 @t160)) % 0.38/0.78 (define @t162 () (forall @t9 @t161)) % 0.38/0.78 (define @t163 () (not @t162)) % 0.38/0.78 (define @t164 () (@var "BOUND_VARIABLE_11167" $$unsorted)) % 0.38/0.78 (define @t165 () (tptp.hd @t164)) % 0.38/0.78 (define @t166 () (tptp.cons @t165 tptp.nil)) % 0.38/0.78 (define @t167 () (tptp.tl @t164)) % 0.38/0.78 (define @t168 () (tptp.app @t167 @t166)) % 0.38/0.78 (define @t169 () (and (tptp.neq tptp.nil @t164) (tptp.ssItem @t165) (tptp.ssList @t166) (tptp.ssList @t167) (tptp.ssList @t168) (not (= @t2 @t168)) (tptp.neq @t164 tptp.nil))) % 0.38/0.78 (define @t170 () (= @t2 tptp.nil)) % 0.38/0.78 (define @t171 () (not @t170)) % 0.38/0.78 (define @t172 () (= @t164 tptp.nil)) % 0.38/0.78 (define @t173 () (and @t171 @t172)) % 0.38/0.78 (define @t174 () (not @t172)) % 0.38/0.78 (define @t175 () (or @t174 @t170)) % 0.38/0.78 (define @t176 () (@var "BOUND_VARIABLE_11169" $$unsorted)) % 0.38/0.78 (define @t177 () (tptp.cons @t176 tptp.nil)) % 0.38/0.78 (define @t178 () (@var "BOUND_VARIABLE_11171" $$unsorted)) % 0.38/0.78 (define @t179 () (or (not (tptp.ssItem @t176)) (not (tptp.ssList @t178)) (not (= @t164 (tptp.app @t177 @t178))) (= @t2 (tptp.app @t178 @t177)))) % 0.38/0.78 (define @t180 () (and @t179 @t175)) % 0.38/0.78 (define @t181 () (not (tptp.ssList @t164))) % 0.38/0.78 (define @t182 () (not @t17)) % 0.38/0.78 (define @t183 () (or @t182 @t181 @t180 @t173 @t169)) % 0.38/0.78 (define @t184 () (or @t181 @t180 @t173 @t169)) % 0.38/0.78 (define @t185 () (or @t182 @t184)) % 0.38/0.78 (define @t186 () (@list @t2 @t164 @t176 @t178)) % 0.38/0.78 (define @t187 () (forall @t186 @t185)) % 0.38/0.78 (define @t188 () (@list @t164 @t176 @t178)) % 0.38/0.78 (define @t189 () (forall @t188 @t185)) % 0.38/0.78 (define @t190 () (forall @t188 @t184)) % 0.38/0.78 (define @t191 () (@var "BOUND_VARIABLE_11146" $$unsorted)) % 0.38/0.78 (define @t192 () (@var "BOUND_VARIABLE_11144" $$unsorted)) % 0.38/0.78 (define @t193 () (or @t182 @t190)) % 0.38/0.78 (define @t194 () (tptp.neq @t1 tptp.nil)) % 0.38/0.78 (define @t195 () (tptp.cons @t86 tptp.nil)) % 0.38/0.78 (define @t196 () (tptp.app @t90 @t195)) % 0.38/0.78 (define @t197 () (tptp.ssList @t196)) % 0.38/0.78 (define @t198 () (tptp.ssList @t90)) % 0.38/0.78 (define @t199 () (tptp.ssList @t195)) % 0.38/0.78 (define @t200 () (tptp.ssItem @t86)) % 0.38/0.78 (define @t201 () (tptp.neq tptp.nil @t1)) % 0.38/0.78 (define @t202 () (and @t201 @t200 @t199 @t198 @t197 (not (= @t2 @t196)) @t194)) % 0.38/0.78 (define @t203 () (= @t1 tptp.nil)) % 0.38/0.78 (define @t204 () (and @t171 @t203)) % 0.38/0.78 (define @t205 () (or (not @t203) @t170)) % 0.38/0.78 (define @t206 () (tptp.cons @t192 tptp.nil)) % 0.38/0.78 (define @t207 () (or (not (tptp.ssItem @t192)) (not (tptp.ssList @t191)) (not (= @t1 (tptp.app @t206 @t191))) (= @t2 (tptp.app @t191 @t206)))) % 0.38/0.78 (define @t208 () (and @t207 @t205)) % 0.38/0.78 (define @t209 () (not @t21)) % 0.38/0.78 (define @t210 () (or @t209 @t208 @t204 @t202)) % 0.38/0.78 (define @t211 () (forall (@list @t1 @t192 @t191) @t210)) % 0.38/0.78 (define @t212 () (or @t182 @t211)) % 0.38/0.78 (define @t213 () (@list @t192 @t191)) % 0.38/0.78 (define @t214 () (forall @t213 @t210)) % 0.38/0.78 (define @t215 () (forall @t213 @t205)) % 0.38/0.78 (define @t216 () (forall @t213 @t207)) % 0.38/0.78 (define @t217 () (@var "BOUND_VARIABLE_11075" $$unsorted)) % 0.38/0.78 (define @t218 () (and @t216 @t215)) % 0.38/0.78 (define @t219 () (forall @t213 @t208)) % 0.38/0.78 (define @t220 () (or @t209 @t219 @t204 @t202)) % 0.38/0.78 (define @t221 () (= @t2 (tptp.app @t217 @t113))) % 0.38/0.78 (define @t222 () (not (= @t1 (tptp.app @t113 @t217)))) % 0.38/0.78 (define @t223 () (not (tptp.ssList @t217))) % 0.38/0.78 (define @t224 () (not @t122)) % 0.38/0.78 (define @t225 () (or @t224 @t223 @t222 @t221)) % 0.38/0.78 (define @t226 () (@list @t112 @t217)) % 0.38/0.78 (define @t227 () (and (forall @t226 @t225) @t205)) % 0.38/0.78 (define @t228 () (or @t209 @t227 @t204 @t202)) % 0.38/0.78 (define @t229 () (forall @t7 @t228)) % 0.38/0.78 (define @t230 () (or @t182 @t229)) % 0.38/0.78 (define @t231 () (or @t182 @t228)) % 0.38/0.78 (define @t232 () (or @t209 @t227 @t182 @t204 @t202)) % 0.38/0.78 (define @t233 () (or @t227 @t209 @t182 @t204 @t202)) % 0.38/0.78 (define @t234 () (or @t182 @t204 @t202)) % 0.38/0.78 (define @t235 () (not (= @t2 @t2))) % 0.38/0.78 (define @t236 () (or @t182 @t235 @t204 @t202)) % 0.38/0.78 (define @t237 () (and @t201 @t200 @t199 @t198 @t197 (not (= @t12 @t196)) @t194)) % 0.38/0.78 (define @t238 () (not (= @t12 tptp.nil))) % 0.38/0.78 (define @t239 () (and @t238 @t203)) % 0.38/0.78 (define @t240 () (not @t15)) % 0.38/0.78 (define @t241 () (or @t152 @t240 @t152 @t239 @t237)) % 0.38/0.78 (define @t242 () (or @t240 @t152 @t239 @t237)) % 0.38/0.78 (define @t243 () (forall @t16 @t242)) % 0.38/0.78 (define @t244 () (or @t227 @t209 @t243)) % 0.38/0.78 (define @t245 () (or @t227 @t209 @t242)) % 0.38/0.78 (define @t246 () (or @t240 @t152 @t227 @t209 @t239 @t237)) % 0.38/0.78 (define @t247 () (or @t152 @t227 @t209 @t239 @t237)) % 0.38/0.78 (define @t248 () (or @t209 @t239 @t237)) % 0.38/0.78 (define @t249 () (not (= @t1 @t1))) % 0.38/0.78 (define @t250 () (or @t209 @t249 @t239 @t237)) % 0.38/0.78 (define @t251 () (tptp.cons @t130 tptp.nil)) % 0.38/0.78 (define @t252 () (tptp.app @t138 @t251)) % 0.38/0.78 (define @t253 () (= @t12 @t252)) % 0.38/0.78 (define @t254 () (not @t253)) % 0.38/0.78 (define @t255 () (tptp.ssList @t252)) % 0.38/0.78 (define @t256 () (tptp.ssList @t138)) % 0.38/0.78 (define @t257 () (tptp.ssList @t251)) % 0.38/0.78 (define @t258 () (tptp.ssItem @t130)) % 0.38/0.78 (define @t259 () (and @t128 @t258 @t257 @t256 @t255 @t254 @t127)) % 0.38/0.78 (define @t260 () (and @t238 (= @t10 tptp.nil))) % 0.38/0.78 (define @t261 () (or @t153 @t154 @t153 @t260 @t259)) % 0.38/0.78 (define @t262 () (or @t154 @t153 @t260 @t259)) % 0.38/0.78 (define @t263 () (forall @t14 @t262)) % 0.38/0.78 (define @t264 () (or @t152 @t227 @t263)) % 0.38/0.78 (define @t265 () (or @t152 @t227 @t262)) % 0.38/0.78 (define @t266 () (or @t154 @t153 @t152 @t260 @t259 @t227)) % 0.38/0.78 (define @t267 () (not @t255)) % 0.38/0.78 (define @t268 () (not @t267)) % 0.38/0.78 (define @t269 () (not @t256)) % 0.38/0.78 (define @t270 () (not @t269)) % 0.38/0.78 (define @t271 () (not @t257)) % 0.38/0.78 (define @t272 () (not @t271)) % 0.38/0.78 (define @t273 () (not @t258)) % 0.38/0.78 (define @t274 () (not @t273)) % 0.38/0.78 (define @t275 () (not @t128)) % 0.38/0.78 (define @t276 () (not @t275)) % 0.38/0.78 (define @t277 () (and @t276 @t274 @t272 @t270 @t268 @t254)) % 0.38/0.78 (define @t278 () (or @t267 @t253)) % 0.38/0.78 (define @t279 () (or @t275 @t273 @t271 @t269 @t267 @t253)) % 0.38/0.78 (define @t280 () (and (not @t279) @t127)) % 0.38/0.78 (define @t281 () (or @t154 @t153 @t152 @t260 @t280 @t227)) % 0.38/0.78 (define @t282 () (or @t223 @t222 @t221)) % 0.38/0.78 (define @t283 () (or @t224 @t282)) % 0.38/0.78 (define @t284 () (forall @t226 @t283)) % 0.38/0.78 (define @t285 () (@list @t217)) % 0.38/0.78 (define @t286 () (forall @t285 @t283)) % 0.38/0.78 (define @t287 () (forall @t285 @t282)) % 0.38/0.78 (define @t288 () (or @t224 @t287)) % 0.38/0.78 (define @t289 () (forall @t120 (or @t118 (not (= @t1 @t116)) (= @t2 @t115)))) % 0.38/0.78 (define @t290 () (not (= @t252 @t252))) % 0.38/0.78 (define @t291 () (or @t267 @t253 @t290)) % 0.38/0.78 (define @t292 () (not (= @t28 @t252))) % 0.38/0.78 (define @t293 () (not @t32)) % 0.38/0.78 (define @t294 () (or @t292 @t293 @t145 @t292)) % 0.38/0.78 (define @t295 () (or @t293 @t145 @t292)) % 0.38/0.78 (define @t296 () (forall @t33 @t295)) % 0.38/0.78 (define @t297 () (or @t275 @t273 @t271 @t269 @t296)) % 0.38/0.78 (define @t298 () (or @t275 @t273 @t271 @t269 @t295)) % 0.38/0.78 (define @t299 () (or @t293 @t145 @t275 @t273 @t271 @t269 @t292)) % 0.38/0.78 (define @t300 () (or @t275 @t273 @t271 @t269 @t292)) % 0.38/0.78 (define @t301 () (not @t300)) % 0.38/0.78 (define @t302 () (not @t301)) % 0.38/0.78 (define @t303 () (not @t146)) % 0.38/0.78 (define @t304 () (or @t293 @t303 @t302)) % 0.38/0.78 (define @t305 () (and @t32 @t146 @t301)) % 0.38/0.78 (define @t306 () (forall @t33 (not @t305))) % 0.38/0.78 (define @t307 () (not @t306)) % 0.38/0.78 (define @t308 () (or @t269 @t292)) % 0.38/0.78 (define @t309 () (not (= @t138 @t138))) % 0.38/0.78 (define @t310 () (or @t269 @t309 @t292)) % 0.38/0.78 (define @t311 () (not (= @t28 (tptp.app @t27 @t251)))) % 0.38/0.78 (define @t312 () (= @t27 @t138)) % 0.38/0.78 (define @t313 () (not @t312)) % 0.38/0.78 (define @t314 () (not @t30)) % 0.38/0.78 (define @t315 () (or @t313 @t314 @t313 @t311)) % 0.38/0.78 (define @t316 () (or @t314 @t313 @t311)) % 0.38/0.78 (define @t317 () (forall @t31 @t316)) % 0.38/0.78 (define @t318 () (or @t275 @t273 @t271 @t317)) % 0.38/0.78 (define @t319 () (or @t275 @t273 @t271 @t316)) % 0.38/0.78 (define @t320 () (or @t314 @t313 @t275 @t273 @t271 @t311)) % 0.38/0.78 (define @t321 () (or @t313 @t275 @t273 @t271 @t311)) % 0.38/0.78 (define @t322 () (not @t321)) % 0.38/0.78 (define @t323 () (and @t30 @t322)) % 0.38/0.78 (define @t324 () (forall @t31 (not @t323))) % 0.38/0.78 (define @t325 () (not @t324)) % 0.38/0.78 (define @t326 () (or @t271 @t311)) % 0.38/0.78 (define @t327 () (not (= @t251 @t251))) % 0.38/0.78 (define @t328 () (or @t271 @t311 @t327)) % 0.38/0.78 (define @t329 () (not (= @t131 @t251))) % 0.38/0.78 (define @t330 () (= @t28 @t137)) % 0.38/0.78 (define @t331 () (not @t330)) % 0.38/0.78 (define @t332 () (not @t139)) % 0.38/0.78 (define @t333 () (or @t329 @t332 @t331 @t329)) % 0.38/0.78 (define @t334 () (or @t332 @t331 @t329)) % 0.38/0.78 (define @t335 () (forall @t141 @t334)) % 0.38/0.78 (define @t336 () (or @t313 @t275 @t273 @t335)) % 0.38/0.78 (define @t337 () (or @t313 @t275 @t273 @t334)) % 0.38/0.78 (define @t338 () (or @t332 @t313 @t331 @t275 @t273 @t329)) % 0.38/0.78 (define @t339 () (or @t275 @t273 @t329)) % 0.38/0.78 (define @t340 () (not @t339)) % 0.38/0.78 (define @t341 () (not @t340)) % 0.38/0.78 (define @t342 () (or @t332 @t313 @t331 @t341 @t275)) % 0.38/0.78 (define @t343 () (and @t139 @t312 @t330 @t340 @t128)) % 0.38/0.78 (define @t344 () (forall @t141 (not @t343))) % 0.38/0.78 (define @t345 () (not @t344)) % 0.38/0.78 (define @t346 () (or @t273 @t329)) % 0.38/0.78 (define @t347 () (not (= @t130 @t130))) % 0.38/0.78 (define @t348 () (or @t273 @t329 @t347)) % 0.38/0.78 (define @t349 () (= @t129 @t130)) % 0.38/0.78 (define @t350 () (not @t349)) % 0.38/0.78 (define @t351 () (= @t131 @t132)) % 0.38/0.78 (define @t352 () (not @t351)) % 0.38/0.78 (define @t353 () (not @t133)) % 0.38/0.78 (define @t354 () (or @t350 @t353 @t352 @t350)) % 0.38/0.78 (define @t355 () (or @t353 @t352 @t350)) % 0.38/0.78 (define @t356 () (forall @t135 @t355)) % 0.38/0.78 (define @t357 () (or @t275 @t356)) % 0.38/0.78 (define @t358 () (or @t275 @t355)) % 0.38/0.78 (define @t359 () (or @t353 @t352 @t350 @t275)) % 0.38/0.78 (define @t360 () (and @t133 @t351 @t349 @t128)) % 0.38/0.78 (define @t361 () (forall @t135 (not @t360))) % 0.38/0.78 (define @t362 () (not @t361)) % 0.38/0.78 (define @t363 () (= tptp.nil @t164)) % 0.38/0.78 (define @t364 () (forall @t186 (or @t182 @t181 (and @t179 (or (not @t363) @t170)) (and @t171 @t363) @t169))) % 0.38/0.78 (define @t365 () (@quantifiers_skolemize @t364 1)) % 0.38/0.78 (define @t366 () (tptp.neq @t365 tptp.nil)) % 0.38/0.78 (define @t367 () (tptp.hd @t365)) % 0.38/0.78 (define @t368 () (tptp.cons @t367 tptp.nil)) % 0.38/0.78 (define @t369 () (tptp.tl @t365)) % 0.38/0.78 (define @t370 () (tptp.app @t369 @t368)) % 0.38/0.78 (define @t371 () (@quantifiers_skolemize @t364 0)) % 0.38/0.78 (define @t372 () (= @t371 @t370)) % 0.38/0.78 (define @t373 () (not @t372)) % 0.38/0.78 (define @t374 () (tptp.ssList @t370)) % 0.38/0.78 (define @t375 () (tptp.ssList @t369)) % 0.38/0.78 (define @t376 () (tptp.ssList @t368)) % 0.38/0.78 (define @t377 () (tptp.ssItem @t367)) % 0.38/0.78 (define @t378 () (tptp.neq tptp.nil @t365)) % 0.38/0.78 (define @t379 () (and @t378 @t377 @t376 @t375 @t374 @t373 @t366)) % 0.38/0.78 (define @t380 () (= tptp.nil @t365)) % 0.38/0.78 (define @t381 () (= tptp.nil @t371)) % 0.38/0.78 (define @t382 () (not @t381)) % 0.38/0.78 (define @t383 () (and @t382 @t380)) % 0.38/0.78 (define @t384 () (not @t380)) % 0.38/0.78 (define @t385 () (or @t384 @t381)) % 0.38/0.78 (define @t386 () (@quantifiers_skolemize @t364 2)) % 0.38/0.78 (define @t387 () (tptp.cons @t386 tptp.nil)) % 0.38/0.78 (define @t388 () (@quantifiers_skolemize @t364 3)) % 0.38/0.78 (define @t389 () (tptp.app @t388 @t387)) % 0.38/0.78 (define @t390 () (= @t371 @t389)) % 0.38/0.78 (define @t391 () (tptp.app @t387 @t388)) % 0.38/0.78 (define @t392 () (= @t365 @t391)) % 0.38/0.78 (define @t393 () (not @t392)) % 0.38/0.78 (define @t394 () (tptp.ssList @t388)) % 0.38/0.78 (define @t395 () (not @t394)) % 0.38/0.78 (define @t396 () (tptp.ssItem @t386)) % 0.38/0.78 (define @t397 () (not @t396)) % 0.38/0.78 (define @t398 () (or @t397 @t395 @t393 @t390)) % 0.38/0.78 (define @t399 () (and @t398 @t385)) % 0.38/0.78 (define @t400 () (tptp.ssList @t365)) % 0.38/0.78 (define @t401 () (not @t400)) % 0.38/0.78 (define @t402 () (not (tptp.ssList @t371))) % 0.38/0.78 (define @t403 () (or @t402 @t401 @t399 @t383 @t379)) % 0.38/0.78 (define @t404 () (not @t403)) % 0.38/0.78 (define @t405 () (not @t364)) % 0.38/0.78 (define @t406 () (= @t371 tptp.nil)) % 0.38/0.78 (define @t407 () (not @t406)) % 0.38/0.78 (define @t408 () (and @t407 @t380)) % 0.38/0.78 (define @t409 () (or @t384 @t406)) % 0.38/0.78 (define @t410 () (and @t398 @t409)) % 0.38/0.78 (define @t411 () (or @t402 @t401 @t410 @t408 @t379)) % 0.38/0.78 (define @t412 () (not @t411)) % 0.38/0.78 (define @t413 () (@list true)) % 0.38/0.78 (define @t414 () (@list @t403)) % 0.38/0.78 (define @t415 () (@var "BOUND_VARIABLE_9136" $$unsorted)) % 0.38/0.78 (define @t416 () (= (tptp.neq @t2 @t415) (not (= @t2 @t415)))) % 0.38/0.78 (define @t417 () (not (tptp.ssList @t415))) % 0.38/0.78 (define @t418 () (or @t182 @t417 @t416)) % 0.38/0.78 (define @t419 () (or @t417 @t416)) % 0.38/0.78 (define @t420 () (or @t182 @t419)) % 0.38/0.78 (define @t421 () (@list @t2 @t415)) % 0.38/0.78 (define @t422 () (forall @t421 @t420)) % 0.38/0.78 (define @t423 () (@list @t415)) % 0.38/0.78 (define @t424 () (forall @t423 @t420)) % 0.38/0.78 (define @t425 () (forall @t423 @t419)) % 0.38/0.78 (define @t426 () (@list @t1)) % 0.38/0.78 (define @t427 () (or @t182 @t425)) % 0.38/0.78 (define @t428 () (forall @t7 (or @t209 @t5))) % 0.38/0.78 (define @t429 () (not (= @t365 tptp.nil))) % 0.38/0.78 (define @t430 () (= @t366 @t429)) % 0.38/0.78 (define @t431 () (not @t45)) % 0.38/0.78 (define @t432 () (or @t401 @t431 @t430)) % 0.38/0.78 (define @t433 () (forall @t421 @t418)) % 0.38/0.78 (define @t434 () (= @t384 @t366)) % 0.38/0.78 (define @t435 () (or @t401 @t431 @t434)) % 0.38/0.78 (define @t436 () (@list false)) % 0.38/0.78 (define @t437 () (@list @t433)) % 0.38/0.78 (define @t438 () (@list false false false)) % 0.38/0.78 (define @t439 () (@var "BOUND_VARIABLE_10629" $$unsorted)) % 0.38/0.78 (define @t440 () (and (= @t439 tptp.nil) @t170)) % 0.38/0.78 (define @t441 () (= tptp.nil (tptp.app @t2 @t439))) % 0.38/0.78 (define @t442 () (= @t441 @t440)) % 0.38/0.78 (define @t443 () (not (tptp.ssList @t439))) % 0.38/0.78 (define @t444 () (or @t182 @t443 @t442)) % 0.38/0.78 (define @t445 () (or @t443 @t442)) % 0.38/0.78 (define @t446 () (or @t182 @t445)) % 0.38/0.78 (define @t447 () (@list @t2 @t439)) % 0.38/0.78 (define @t448 () (forall @t447 @t446)) % 0.38/0.78 (define @t449 () (@list @t439)) % 0.38/0.78 (define @t450 () (forall @t449 @t446)) % 0.38/0.78 (define @t451 () (forall @t449 @t445)) % 0.38/0.78 (define @t452 () (or @t182 @t451)) % 0.38/0.78 (define @t453 () (= @t93 (and @t203 @t170))) % 0.38/0.78 (define @t454 () (forall @t7 (or @t209 @t453))) % 0.38/0.78 (define @t455 () (= tptp.nil @t388)) % 0.38/0.78 (define @t456 () (= @t387 tptp.nil)) % 0.38/0.78 (define @t457 () (and @t455 @t456)) % 0.38/0.78 (define @t458 () (= tptp.nil @t391)) % 0.38/0.78 (define @t459 () (= @t458 @t457)) % 0.38/0.78 (define @t460 () (tptp.ssList @t387)) % 0.38/0.78 (define @t461 () (not @t460)) % 0.38/0.78 (define @t462 () (or @t461 @t395 @t459)) % 0.38/0.78 (define @t463 () (forall @t447 (or @t182 @t443 (= @t441 (and (= tptp.nil @t439) @t170))))) % 0.38/0.78 (define @t464 () (@list @t387 @t388)) % 0.38/0.78 (define @t465 () (= tptp.nil @t387)) % 0.38/0.78 (define @t466 () (and @t455 @t465)) % 0.38/0.78 (define @t467 () (= @t458 @t466)) % 0.38/0.78 (define @t468 () (or @t461 @t395 @t467)) % 0.38/0.78 (define @t469 () (@var "BOUND_VARIABLE_9157" $$unsorted)) % 0.38/0.78 (define @t470 () (tptp.ssList (tptp.cons @t469 @t2))) % 0.38/0.78 (define @t471 () (not (tptp.ssItem @t469))) % 0.38/0.78 (define @t472 () (or @t471 @t470)) % 0.38/0.78 (define @t473 () (or @t182 @t472)) % 0.38/0.78 (define @t474 () (forall (@list @t2 @t469) @t473)) % 0.38/0.78 (define @t475 () (@list @t469)) % 0.38/0.78 (define @t476 () (forall @t475 @t473)) % 0.38/0.78 (define @t477 () (forall @t475 @t472)) % 0.38/0.78 (define @t478 () (or @t182 @t477)) % 0.38/0.78 (define @t479 () (not @t6)) % 0.38/0.78 (define @t480 () (forall @t7 (or @t479 @t41))) % 0.38/0.78 (define @t481 () (@list tptp.nil @t386)) % 0.38/0.78 (define @t482 () (not @t384)) % 0.38/0.78 (define @t483 () (@list true false)) % 0.38/0.78 (define @t484 () (@list @t398)) % 0.38/0.78 (define @t485 () (or @t431 @t397 @t460)) % 0.38/0.78 (define @t486 () (@var "BOUND_VARIABLE_9180" $$unsorted)) % 0.38/0.78 (define @t487 () (not (= @t2 (tptp.cons @t486 @t2)))) % 0.38/0.78 (define @t488 () (not (tptp.ssItem @t486))) % 0.38/0.78 (define @t489 () (or @t488 @t487)) % 0.38/0.78 (define @t490 () (or @t182 @t489)) % 0.38/0.78 (define @t491 () (forall (@list @t2 @t486) @t490)) % 0.38/0.78 (define @t492 () (@list @t486)) % 0.38/0.78 (define @t493 () (forall @t492 @t490)) % 0.38/0.78 (define @t494 () (forall @t492 @t489)) % 0.38/0.78 (define @t495 () (or @t182 @t494)) % 0.38/0.78 (define @t496 () (not (= @t2 @t40))) % 0.38/0.79 (define @t497 () (forall @t7 (or @t479 @t496))) % 0.38/0.79 (define @t498 () (not @t465)) % 0.38/0.79 (define @t499 () (or @t431 @t397 @t498)) % 0.38/0.79 (define @t500 () (not @t466)) % 0.38/0.79 (define @t501 () (not @t458)) % 0.38/0.79 (define @t502 () (not @t434)) % 0.38/0.79 (define @t503 () (@var "BOUND_VARIABLE_9351" $$unsorted)) % 0.38/0.79 (define @t504 () (= @t503 (tptp.hd (tptp.cons @t503 @t2)))) % 0.38/0.79 (define @t505 () (not (tptp.ssItem @t503))) % 0.38/0.79 (define @t506 () (or @t505 @t504)) % 0.38/0.79 (define @t507 () (or @t182 @t506)) % 0.38/0.79 (define @t508 () (forall (@list @t2 @t503) @t507)) % 0.38/0.79 (define @t509 () (@list @t503)) % 0.38/0.79 (define @t510 () (forall @t509 @t507)) % 0.38/0.79 (define @t511 () (forall @t509 @t506)) % 0.38/0.79 (define @t512 () (or @t182 @t511)) % 0.38/0.79 (define @t513 () (= @t1 @t56)) % 0.38/0.79 (define @t514 () (forall @t7 (or @t479 @t513))) % 0.38/0.79 (define @t515 () (tptp.hd @t387)) % 0.38/0.79 (define @t516 () (= @t386 @t515)) % 0.38/0.79 (define @t517 () (or @t431 @t397 @t516)) % 0.38/0.79 (define @t518 () (@var "BOUND_VARIABLE_10669" $$unsorted)) % 0.38/0.79 (define @t519 () (= @t54 (tptp.hd (tptp.app @t2 @t518)))) % 0.38/0.79 (define @t520 () (not (tptp.ssList @t518))) % 0.38/0.79 (define @t521 () (or @t182 @t170 @t520 @t519)) % 0.38/0.79 (define @t522 () (or @t520 @t519)) % 0.38/0.79 (define @t523 () (or @t182 @t170 @t522)) % 0.38/0.79 (define @t524 () (@list @t2 @t518)) % 0.38/0.79 (define @t525 () (forall @t524 @t523)) % 0.38/0.79 (define @t526 () (@list @t518)) % 0.38/0.79 (define @t527 () (forall @t526 @t523)) % 0.38/0.79 (define @t528 () (forall @t526 @t522)) % 0.38/0.79 (define @t529 () (or @t182 @t170 @t528)) % 0.38/0.79 (define @t530 () (= @t54 @t99)) % 0.38/0.79 (define @t531 () (or @t209 @t530)) % 0.38/0.79 (define @t532 () (forall @t7 @t531)) % 0.38/0.79 (define @t533 () (or @t182 @t170 @t532)) % 0.38/0.79 (define @t534 () (or @t170 @t532)) % 0.38/0.79 (define @t535 () (or @t170 @t531)) % 0.38/0.79 (define @t536 () (or @t209 @t170 @t530)) % 0.38/0.79 (define @t537 () (not @t171)) % 0.38/0.79 (define @t538 () (=> @t171 @t530)) % 0.38/0.79 (define @t539 () (= @t515 (tptp.hd @t391))) % 0.38/0.79 (define @t540 () (or @t461 @t456 @t395 @t539)) % 0.38/0.79 (define @t541 () (forall @t524 @t521)) % 0.38/0.79 (define @t542 () (or @t461 @t465 @t395 @t539)) % 0.38/0.79 (define @t543 () (@list false true false false)) % 0.38/0.79 (define @t544 () (= @t2 @t73)) % 0.38/0.79 (define @t545 () (= @t388 (tptp.app tptp.nil @t388))) % 0.38/0.79 (define @t546 () (or @t395 @t545)) % 0.38/0.79 (define @t547 () (@var "BOUND_VARIABLE_9381" $$unsorted)) % 0.38/0.79 (define @t548 () (= @t2 (tptp.tl (tptp.cons @t547 @t2)))) % 0.38/0.79 (define @t549 () (not (tptp.ssItem @t547))) % 0.38/0.79 (define @t550 () (or @t549 @t548)) % 0.38/0.79 (define @t551 () (or @t182 @t550)) % 0.38/0.79 (define @t552 () (forall (@list @t2 @t547) @t551)) % 0.38/0.79 (define @t553 () (@list @t547)) % 0.38/0.79 (define @t554 () (forall @t553 @t551)) % 0.38/0.79 (define @t555 () (forall @t553 @t550)) % 0.38/0.79 (define @t556 () (or @t182 @t555)) % 0.38/0.79 (define @t557 () (= @t2 @t62)) % 0.38/0.79 (define @t558 () (forall @t7 (or @t479 @t557))) % 0.38/0.79 (define @t559 () (tptp.tl @t387)) % 0.38/0.79 (define @t560 () (= tptp.nil @t559)) % 0.38/0.79 (define @t561 () (or @t431 @t397 @t560)) % 0.38/0.79 (define @t562 () (tptp.app @t559 @t388)) % 0.38/0.79 (define @t563 () (@var "BOUND_VARIABLE_10696" $$unsorted)) % 0.38/0.79 (define @t564 () (= (tptp.tl (tptp.app @t2 @t563)) (tptp.app @t61 @t563))) % 0.38/0.79 (define @t565 () (not (tptp.ssList @t563))) % 0.38/0.79 (define @t566 () (or @t182 @t170 @t565 @t564)) % 0.38/0.79 (define @t567 () (or @t565 @t564)) % 0.38/0.79 (define @t568 () (or @t182 @t170 @t567)) % 0.38/0.79 (define @t569 () (@list @t2 @t563)) % 0.38/0.79 (define @t570 () (forall @t569 @t568)) % 0.38/0.79 (define @t571 () (@list @t563)) % 0.38/0.79 (define @t572 () (forall @t571 @t568)) % 0.38/0.79 (define @t573 () (forall @t571 @t567)) % 0.38/0.79 (define @t574 () (or @t182 @t170 @t573)) % 0.38/0.79 (define @t575 () (or @t209 @t105)) % 0.38/0.79 (define @t576 () (forall @t7 @t575)) % 0.38/0.79 (define @t577 () (or @t182 @t170 @t576)) % 0.38/0.79 (define @t578 () (or @t170 @t576)) % 0.38/0.79 (define @t579 () (or @t170 @t575)) % 0.38/0.79 (define @t580 () (or @t209 @t170 @t105)) % 0.38/0.79 (define @t581 () (=> @t171 @t105)) % 0.38/0.79 (define @t582 () (= (tptp.tl @t391) @t562)) % 0.38/0.79 (define @t583 () (or @t461 @t456 @t395 @t582)) % 0.38/0.79 (define @t584 () (forall @t569 @t566)) % 0.38/0.79 (define @t585 () (or @t461 @t465 @t395 @t582)) % 0.38/0.79 (define @t586 () (@var "BOUND_VARIABLE_9401" $$unsorted)) % 0.38/0.79 (define @t587 () (tptp.ssList (tptp.app @t2 @t586))) % 0.38/0.79 (define @t588 () (not (tptp.ssList @t586))) % 0.38/0.79 (define @t589 () (or @t588 @t587)) % 0.38/0.79 (define @t590 () (or @t182 @t589)) % 0.38/0.79 (define @t591 () (forall (@list @t2 @t586) @t590)) % 0.38/0.79 (define @t592 () (@list @t586)) % 0.38/0.79 (define @t593 () (forall @t592 @t590)) % 0.38/0.79 (define @t594 () (forall @t592 @t589)) % 0.38/0.79 (define @t595 () (or @t182 @t594)) % 0.38/0.79 (define @t596 () (forall @t7 (or @t209 @t68))) % 0.38/0.79 (define @t597 () (tptp.ssList @t389)) % 0.38/0.79 (define @t598 () (or @t395 @t461 @t597)) % 0.38/0.79 (define @t599 () (or @t431 @t401 (= @t378 @t384))) % 0.38/0.79 (define @t600 () (= @t384 @t378)) % 0.38/0.79 (define @t601 () (or @t431 @t401 @t600)) % 0.38/0.79 (define @t602 () (not @t600)) % 0.38/0.79 (define @t603 () (not @t366)) % 0.38/0.79 (define @t604 () (not @t374)) % 0.38/0.79 (define @t605 () (not @t375)) % 0.38/0.79 (define @t606 () (not @t376)) % 0.38/0.79 (define @t607 () (not @t377)) % 0.38/0.79 (define @t608 () (not @t378)) % 0.38/0.79 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.38/0.79 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.38/0.79 (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))))))))))) % 0.38/0.79 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.38/0.79 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.38/0.79 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.38/0.79 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.38/0.79 (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))))))))))))))))) % 0.38/0.79 (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)))))))))))))))) % 0.38/0.79 (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))))))))))))))))) % 0.38/0.79 (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))))))))))))))) % 0.38/0.79 (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))))))))))))))) % 0.38/0.79 (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)))))))))))))))) % 0.38/0.79 (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))))))))))))) % 0.38/0.79 (assume @p15 @t39) % 0.38/0.79 (assume @p16 @t44) % 0.38/0.79 (assume @p17 @t45) % 0.38/0.79 (assume @p18 @t50) % 0.38/0.79 (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) @t51))))))))))) % 0.38/0.79 (assume @p20 (forall @t9 (=> @t17 (or @t53 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t52 @t2))))))))) % 0.38/0.79 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.38/0.79 (assume @p22 (forall @t9 (=> @t17 (=> @t55 (tptp.ssItem @t54))))) % 0.38/0.79 (assume @p23 @t60) % 0.38/0.79 (assume @p24 (forall @t9 (=> @t17 (=> @t55 (tptp.ssList @t61))))) % 0.38/0.79 (assume @p25 @t66) % 0.38/0.79 (assume @p26 @t71) % 0.38/0.79 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t72) (tptp.app @t52 @t2))))))))) % 0.38/0.79 (assume @p28 @t75) % 0.38/0.79 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t77 @t76) @t3)))))) % 0.38/0.79 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 @t26) (tptp.leq @t2 @t12))))))))) % 0.38/0.79 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.38/0.79 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t78 @t76)))))) % 0.38/0.79 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t80 (not @t79))))))) % 0.38/0.79 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t80 @t35) @t81)))))))) % 0.38/0.79 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t79)))))) % 0.38/0.79 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t83))))))))) % 0.38/0.79 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t83))))))))) % 0.38/0.79 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.38/0.79 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.38/0.79 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.38/0.79 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.38/0.79 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.38/0.79 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.38/0.79 (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)))))))))))) % 0.38/0.79 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.38/0.79 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t53)))) % 0.38/0.79 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.38/0.79 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.38/0.79 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.38/0.79 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t84 @t1))))))))) % 0.38/0.79 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.38/0.79 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t53)))) % 0.38/0.79 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.38/0.79 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.38/0.79 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.38/0.79 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t84 @t10) @t1))))))))))) % 0.38/0.79 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.38/0.79 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t53)))) % 0.38/0.79 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t85)))) % 0.38/0.79 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.38/0.79 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t85)))) % 0.38/0.79 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.38/0.79 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t85)))) % 0.38/0.79 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.38/0.79 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t85)))) % 0.38/0.79 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.38/0.79 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t89) (or @t87 (and @t88 (tptp.totalorderedP @t1) (tptp.leq @t2 @t86))))))))) % 0.38/0.79 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t85)))) % 0.38/0.79 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.38/0.79 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t89) (or @t87 (and @t88 (tptp.strictorderedP @t1) (tptp.lt @t2 @t86))))))))) % 0.38/0.79 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t85)))) % 0.38/0.79 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.38/0.79 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t85)))) % 0.38/0.79 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.38/0.79 (assume @p75 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t6 (= @t54 @t1))))))) % 0.38/0.79 (assume @p76 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t21 (= @t61 @t1))))))) % 0.38/0.79 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t88 @t55 (= @t86 @t54) (= @t90 @t61)) @t51)))))) % 0.38/0.79 (assume @p78 (forall @t9 (=> @t17 (=> @t55 (= (tptp.cons @t54 @t61) @t2))))) % 0.38/0.79 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t67) @t91)))))))) % 0.38/0.79 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t72) @t91)))))))) % 0.38/0.79 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.38/0.79 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t67 @t12) (tptp.app @t2 @t19))))))))) % 0.38/0.79 (assume @p83 @t98) % 0.38/0.79 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.38/0.79 (assume @p85 @t104) % 0.38/0.79 (assume @p86 @t110) % 0.38/0.79 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t78 (tptp.geq @t1 @t2)) @t3)))))) % 0.38/0.79 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t78 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.38/0.79 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.38/0.79 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.38/0.79 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 @t35) @t81)))))))) % 0.38/0.79 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (or @t3 @t80))))))) % 0.38/0.79 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t80 (and @t4 @t77))))))) % 0.38/0.79 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t82 (not (tptp.gt @t1 @t2)))))))) % 0.38/0.79 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t82 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.38/0.79 (assume @p96 @t163) % 0.38/0.79 (assume @p97 true) % 0.38/0.79 (step @p98 :rule refl :args (@t169)) % 0.38/0.79 (step @p99 :rule eq-symm :args (@t164 tptp.nil)) % 0.38/0.79 (step @p100 :rule refl :args (@t171)) % 0.38/0.79 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t173)) % 0.38/0.79 (step @p102 :rule refl :args (@t170)) % 0.38/0.79 (step @p103 :rule cong :premises (@p99) :args (@t174)) % 0.38/0.79 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t175)) % 0.38/0.79 (step @p105 :rule refl :args (@t179)) % 0.38/0.79 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t180)) % 0.38/0.79 (step @p107 :rule refl :args (@t181)) % 0.38/0.79 (step @p108 :rule refl :args (@t182)) % 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@t603))) % 0.38/0.79 (step @p996 false :rule chain_m_resolution :premises (@p995 @p984 @p964 @p960 @p956 @p952 @p924 @p727 @p518) :args (false (@list false false false false false true false true) (@list @t378 @t377 @t376 @t375 @t374 @t372 @t366 @t379))) % 0.38/0.79 ) % 0.38/0.79 % SZS output end Proof % 0.38/0.79 % cvc5 exiting %------------------------------------------------------------------------------