%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC316+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 : n014.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 0.36s 0.78s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC316+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:41:13 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.78 % SZS status Theorem % 0.36/0.78 % SZS output start Proof % 0.36/0.78 ( % 0.36/0.78 (declare-sort $$unsorted 0) % 0.36/0.78 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.36/0.78 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.36/0.78 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.78 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.78 (declare-const tptp.nil $$unsorted) % 0.36/0.78 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (define @t1 () (@var "V" $$unsorted)) % 0.36/0.78 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.78 (define @t3 () (= @t2 @t1)) % 0.36/0.78 (define @t4 () (not @t3)) % 0.36/0.78 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.36/0.78 (define @t6 () (tptp.ssItem @t1)) % 0.36/0.78 (define @t7 () (@list @t1)) % 0.36/0.78 (define @t8 () (tptp.ssItem @t2)) % 0.36/0.78 (define @t9 () (@list @t2)) % 0.36/0.78 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.78 (define @t11 () (tptp.cons @t1 @t10)) % 0.36/0.78 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.78 (define @t13 () (tptp.ssList @t10)) % 0.36/0.78 (define @t14 () (@list @t10)) % 0.36/0.78 (define @t15 () (tptp.ssList @t12)) % 0.36/0.78 (define @t16 () (@list @t12)) % 0.36/0.78 (define @t17 () (tptp.ssList @t2)) % 0.36/0.78 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.36/0.78 (define @t19 () (tptp.app @t1 @t12)) % 0.36/0.78 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.36/0.78 (define @t21 () (tptp.ssList @t1)) % 0.36/0.78 (define @t22 () (tptp.app @t12 @t1)) % 0.36/0.78 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.36/0.78 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.36/0.78 (define @t25 () (tptp.leq @t12 @t1)) % 0.36/0.78 (define @t26 () (tptp.leq @t1 @t12)) % 0.36/0.78 (define @t27 () (@var "Z" $$unsorted)) % 0.36/0.78 (define @t28 () (@var "Y" $$unsorted)) % 0.36/0.78 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.36/0.78 (define @t30 () (tptp.ssList @t27)) % 0.36/0.78 (define @t31 () (@list @t27)) % 0.36/0.78 (define @t32 () (tptp.ssList @t28)) % 0.36/0.78 (define @t33 () (@list @t28)) % 0.36/0.78 (define @t34 () (tptp.ssItem @t12)) % 0.36/0.78 (define @t35 () (tptp.lt @t1 @t12)) % 0.36/0.78 (define @t36 () (= @t1 @t12)) % 0.36/0.78 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.36/0.78 (define @t38 () (=> @t17 @t37)) % 0.36/0.78 (define @t39 () (forall @t9 @t38)) % 0.36/0.78 (define @t40 () (tptp.cons @t1 @t2)) % 0.36/0.78 (define @t41 () (tptp.ssList @t40)) % 0.36/0.78 (define @t42 () (forall @t7 (=> @t6 @t41))) % 0.36/0.78 (define @t43 () (=> @t17 @t42)) % 0.36/0.78 (define @t44 () (forall @t9 @t43)) % 0.36/0.78 (define @t45 () (tptp.ssList tptp.nil)) % 0.36/0.78 (define @t46 () (not (= @t40 @t2))) % 0.36/0.78 (define @t47 () (=> @t6 @t46)) % 0.36/0.78 (define @t48 () (forall @t7 @t47)) % 0.36/0.78 (define @t49 () (=> @t17 @t48)) % 0.36/0.78 (define @t50 () (forall @t9 @t49)) % 0.36/0.78 (define @t51 () (= @t1 @t2)) % 0.36/0.78 (define @t52 () (tptp.cons @t12 @t1)) % 0.36/0.78 (define @t53 () (= tptp.nil @t2)) % 0.36/0.78 (define @t54 () (tptp.hd @t2)) % 0.36/0.78 (define @t55 () (tptp.ssItem @t54)) % 0.36/0.78 (define @t56 () (not @t53)) % 0.36/0.78 (define @t57 () (=> @t56 @t55)) % 0.36/0.78 (define @t58 () (=> @t17 @t57)) % 0.36/0.78 (define @t59 () (forall @t9 @t58)) % 0.36/0.78 (define @t60 () (tptp.hd @t40)) % 0.36/0.78 (define @t61 () (=> @t6 (= @t60 @t1))) % 0.36/0.78 (define @t62 () (forall @t7 @t61)) % 0.36/0.78 (define @t63 () (=> @t17 @t62)) % 0.36/0.78 (define @t64 () (forall @t9 @t63)) % 0.36/0.78 (define @t65 () (tptp.tl @t2)) % 0.36/0.78 (define @t66 () (tptp.ssList @t65)) % 0.36/0.78 (define @t67 () (=> @t56 @t66)) % 0.36/0.78 (define @t68 () (=> @t17 @t67)) % 0.36/0.78 (define @t69 () (forall @t9 @t68)) % 0.36/0.78 (define @t70 () (tptp.tl @t40)) % 0.36/0.78 (define @t71 () (=> @t6 (= @t70 @t2))) % 0.36/0.78 (define @t72 () (forall @t7 @t71)) % 0.36/0.78 (define @t73 () (=> @t17 @t72)) % 0.36/0.78 (define @t74 () (forall @t9 @t73)) % 0.36/0.78 (define @t75 () (tptp.app @t2 @t1)) % 0.36/0.78 (define @t76 () (tptp.app @t1 @t2)) % 0.36/0.78 (define @t77 () (tptp.app tptp.nil @t2)) % 0.36/0.78 (define @t78 () (=> @t17 (= @t77 @t2))) % 0.36/0.78 (define @t79 () (forall @t9 @t78)) % 0.36/0.78 (define @t80 () (tptp.leq @t1 @t2)) % 0.36/0.78 (define @t81 () (tptp.leq @t2 @t1)) % 0.36/0.78 (define @t82 () (tptp.geq @t2 @t1)) % 0.36/0.78 (define @t83 () (tptp.lt @t1 @t2)) % 0.36/0.78 (define @t84 () (tptp.lt @t2 @t1)) % 0.36/0.78 (define @t85 () (tptp.lt @t2 @t12)) % 0.36/0.78 (define @t86 () (tptp.gt @t2 @t1)) % 0.36/0.78 (define @t87 () (tptp.memberP @t12 @t2)) % 0.36/0.78 (define @t88 () (tptp.app @t12 @t2)) % 0.36/0.78 (define @t89 () (tptp.cons @t2 tptp.nil)) % 0.36/0.78 (define @t90 () (tptp.hd @t1)) % 0.36/0.78 (define @t91 () (= tptp.nil @t1)) % 0.36/0.78 (define @t92 () (not @t91)) % 0.36/0.78 (define @t93 () (tptp.cons @t2 @t1)) % 0.36/0.78 (define @t94 () (= @t12 @t2)) % 0.36/0.78 (define @t95 () (and @t91 @t53)) % 0.36/0.78 (define @t96 () (= tptp.nil @t75)) % 0.36/0.78 (define @t97 () (= @t96 @t95)) % 0.36/0.78 (define @t98 () (=> @t21 @t97)) % 0.36/0.78 (define @t99 () (forall @t7 @t98)) % 0.36/0.78 (define @t100 () (=> @t17 @t99)) % 0.36/0.78 (define @t101 () (forall @t9 @t100)) % 0.36/0.78 (define @t102 () (tptp.hd @t75)) % 0.36/0.78 (define @t103 () (=> @t56 (= @t102 @t54))) % 0.36/0.78 (define @t104 () (=> @t21 @t103)) % 0.36/0.78 (define @t105 () (forall @t7 @t104)) % 0.36/0.78 (define @t106 () (=> @t17 @t105)) % 0.36/0.78 (define @t107 () (forall @t9 @t106)) % 0.36/0.78 (define @t108 () (= (tptp.tl @t75) (tptp.app @t65 @t1))) % 0.36/0.78 (define @t109 () (=> @t56 @t108)) % 0.36/0.78 (define @t110 () (=> @t21 @t109)) % 0.36/0.78 (define @t111 () (forall @t7 @t110)) % 0.36/0.78 (define @t112 () (=> @t17 @t111)) % 0.36/0.78 (define @t113 () (forall @t9 @t112)) % 0.36/0.78 (define @t114 () (tptp.neq @t1 tptp.nil)) % 0.36/0.78 (define @t115 () (not @t114)) % 0.36/0.78 (define @t116 () (or @t115 (tptp.neq @t10 tptp.nil))) % 0.36/0.78 (define @t117 () (tptp.neq @t2 tptp.nil)) % 0.36/0.78 (define @t118 () (tptp.neq tptp.nil @t2)) % 0.36/0.78 (define @t119 () (@var "X4" $$unsorted)) % 0.36/0.78 (define @t120 () (= @t54 @t119)) % 0.36/0.78 (define @t121 () (@var "X3" $$unsorted)) % 0.36/0.78 (define @t122 () (tptp.cons @t119 tptp.nil)) % 0.36/0.78 (define @t123 () (tptp.ssItem @t119)) % 0.36/0.78 (define @t124 () (and @t123 (= @t122 @t121) @t120 @t118)) % 0.36/0.78 (define @t125 () (@list @t119)) % 0.36/0.78 (define @t126 () (exists @t125 @t124)) % 0.36/0.78 (define @t127 () (@var "X1" $$unsorted)) % 0.36/0.78 (define @t128 () (@var "X2" $$unsorted)) % 0.36/0.78 (define @t129 () (tptp.app @t128 @t121)) % 0.36/0.78 (define @t130 () (= @t65 @t128)) % 0.36/0.78 (define @t131 () (tptp.ssList @t121)) % 0.36/0.78 (define @t132 () (and @t131 @t130 (= @t129 @t127) @t126 @t118)) % 0.36/0.78 (define @t133 () (@list @t121)) % 0.36/0.78 (define @t134 () (exists @t133 @t132)) % 0.36/0.78 (define @t135 () (tptp.ssList @t128)) % 0.36/0.78 (define @t136 () (and @t135 @t134)) % 0.36/0.78 (define @t137 () (@list @t128)) % 0.36/0.78 (define @t138 () (exists @t137 @t136)) % 0.36/0.78 (define @t139 () (= @t1 @t127)) % 0.36/0.78 (define @t140 () (tptp.ssList @t127)) % 0.36/0.78 (define @t141 () (and @t140 @t139 @t138)) % 0.36/0.78 (define @t142 () (@list @t127)) % 0.36/0.78 (define @t143 () (exists @t142 @t141)) % 0.36/0.78 (define @t144 () (and @t143 @t117)) % 0.36/0.78 (define @t145 () (tptp.cons @t28 tptp.nil)) % 0.36/0.78 (define @t146 () (tptp.app @t27 @t145)) % 0.36/0.78 (define @t147 () (not (= @t146 @t10))) % 0.36/0.78 (define @t148 () (tptp.app @t145 @t27)) % 0.36/0.78 (define @t149 () (not (= @t148 @t12))) % 0.36/0.78 (define @t150 () (or @t149 @t147)) % 0.36/0.78 (define @t151 () (=> @t30 @t150)) % 0.36/0.78 (define @t152 () (forall @t31 @t151)) % 0.36/0.78 (define @t153 () (tptp.ssItem @t28)) % 0.36/0.78 (define @t154 () (=> @t153 @t152)) % 0.36/0.78 (define @t155 () (forall @t33 @t154)) % 0.36/0.78 (define @t156 () (or @t115 @t155 @t144)) % 0.36/0.78 (define @t157 () (and @t156 @t116)) % 0.36/0.78 (define @t158 () (not (= @t2 @t12))) % 0.36/0.78 (define @t159 () (not (= @t1 @t10))) % 0.36/0.78 (define @t160 () (or @t159 @t158 @t157)) % 0.36/0.78 (define @t161 () (=> @t13 @t160)) % 0.36/0.78 (define @t162 () (forall @t14 @t161)) % 0.36/0.78 (define @t163 () (=> @t15 @t162)) % 0.36/0.78 (define @t164 () (forall @t16 @t163)) % 0.36/0.78 (define @t165 () (=> @t21 @t164)) % 0.36/0.78 (define @t166 () (forall @t7 @t165)) % 0.36/0.78 (define @t167 () (=> @t17 @t166)) % 0.36/0.78 (define @t168 () (forall @t9 @t167)) % 0.36/0.78 (define @t169 () (not @t168)) % 0.36/0.78 (define @t170 () (@var "BOUND_VARIABLE_11235" $$unsorted)) % 0.36/0.78 (define @t171 () (not (tptp.ssList @t170))) % 0.36/0.78 (define @t172 () (@var "BOUND_VARIABLE_11233" $$unsorted)) % 0.36/0.78 (define @t173 () (not (tptp.ssItem @t172))) % 0.36/0.78 (define @t174 () (tptp.cons @t172 tptp.nil)) % 0.36/0.78 (define @t175 () (tptp.app @t174 @t170)) % 0.36/0.78 (define @t176 () (tptp.neq @t175 tptp.nil)) % 0.36/0.78 (define @t177 () (tptp.hd @t175)) % 0.36/0.78 (define @t178 () (tptp.cons @t177 tptp.nil)) % 0.36/0.78 (define @t179 () (tptp.tl @t175)) % 0.36/0.78 (define @t180 () (tptp.app @t179 @t178)) % 0.36/0.78 (define @t181 () (tptp.app @t170 @t174)) % 0.36/0.78 (define @t182 () (tptp.ssList @t181)) % 0.36/0.78 (define @t183 () (tptp.ssList @t179)) % 0.36/0.78 (define @t184 () (tptp.ssList @t178)) % 0.36/0.78 (define @t185 () (tptp.ssItem @t177)) % 0.36/0.78 (define @t186 () (tptp.neq tptp.nil @t175)) % 0.36/0.78 (define @t187 () (and @t186 @t185 @t184 @t183 @t182 (= @t181 @t180) @t176)) % 0.36/0.78 (define @t188 () (not (tptp.neq @t181 tptp.nil))) % 0.36/0.78 (define @t189 () (not @t182)) % 0.36/0.78 (define @t190 () (not (tptp.ssList @t175))) % 0.36/0.78 (define @t191 () (or @t190 @t189 @t188 @t187 @t173 @t171)) % 0.36/0.78 (define @t192 () (not (= @t175 @t175))) % 0.36/0.78 (define @t193 () (and @t186 @t185 @t184 @t183 @t182 (= @t180 @t181) @t176)) % 0.36/0.78 (define @t194 () (or @t190 @t189 @t188 @t193 @t173 @t171 @t192)) % 0.36/0.78 (define @t195 () (@list @t172 @t170)) % 0.36/0.78 (define @t196 () (not (= @t2 @t175))) % 0.36/0.78 (define @t197 () (tptp.cons @t54 tptp.nil)) % 0.36/0.78 (define @t198 () (tptp.app @t65 @t197)) % 0.36/0.78 (define @t199 () (tptp.ssList @t197)) % 0.36/0.78 (define @t200 () (and @t118 @t55 @t199 @t66 @t182 (= @t198 @t181) @t117)) % 0.36/0.78 (define @t201 () (not @t17)) % 0.36/0.78 (define @t202 () (or @t196 @t201 @t189 @t188 @t200 @t173 @t171 @t196)) % 0.36/0.78 (define @t203 () (or @t201 @t189 @t188 @t200 @t173 @t171 @t196)) % 0.36/0.78 (define @t204 () (forall @t9 @t203)) % 0.36/0.78 (define @t205 () (forall @t195 @t204)) % 0.36/0.78 (define @t206 () (forall (@list @t172 @t170 @t2) @t203)) % 0.36/0.78 (define @t207 () (@list @t2 @t172 @t170)) % 0.36/0.78 (define @t208 () (or @t189 @t188 @t200 @t173 @t171 @t196)) % 0.36/0.78 (define @t209 () (or @t201 @t208)) % 0.36/0.78 (define @t210 () (forall @t207 @t209)) % 0.36/0.78 (define @t211 () (forall @t195 @t209)) % 0.36/0.78 (define @t212 () (forall @t195 @t208)) % 0.36/0.78 (define @t213 () (@var "BOUND_VARIABLE_11194" $$unsorted)) % 0.36/0.78 (define @t214 () (@var "BOUND_VARIABLE_11192" $$unsorted)) % 0.36/0.78 (define @t215 () (@list @t214 @t213)) % 0.36/0.78 (define @t216 () (or @t201 @t212)) % 0.36/0.78 (define @t217 () (tptp.cons @t214 tptp.nil)) % 0.36/0.78 (define @t218 () (not (= @t2 (tptp.app @t217 @t213)))) % 0.36/0.78 (define @t219 () (not (tptp.ssList @t213))) % 0.36/0.78 (define @t220 () (not (tptp.ssItem @t214))) % 0.36/0.78 (define @t221 () (tptp.app @t213 @t217)) % 0.36/0.78 (define @t222 () (tptp.ssList @t221)) % 0.36/0.78 (define @t223 () (and @t118 @t55 @t199 @t66 @t222 (= @t198 @t221) @t117)) % 0.36/0.78 (define @t224 () (not (tptp.neq @t221 tptp.nil))) % 0.36/0.78 (define @t225 () (not @t222)) % 0.36/0.78 (define @t226 () (or @t225 @t224 @t223 @t220 @t219 @t218)) % 0.36/0.78 (define @t227 () (@list @t214 @t213)) % 0.36/0.78 (define @t228 () (or @t201 (forall @t227 @t226))) % 0.36/0.78 (define @t229 () (not (= @t221 @t221))) % 0.36/0.78 (define @t230 () (and @t118 @t55 @t199 @t66 @t222 (= @t221 @t198) @t117)) % 0.36/0.78 (define @t231 () (or @t225 @t224 @t230 @t220 @t219 @t218 @t229)) % 0.36/0.78 (define @t232 () (not (= @t1 @t221))) % 0.36/0.78 (define @t233 () (= @t1 @t198)) % 0.36/0.78 (define @t234 () (and @t118 @t55 @t199 @t66 @t21 @t233 @t117)) % 0.36/0.78 (define @t235 () (not @t21)) % 0.36/0.78 (define @t236 () (or @t232 @t235 @t115 @t234 @t220 @t219 @t218 @t232)) % 0.36/0.78 (define @t237 () (or @t235 @t115 @t234 @t220 @t219 @t218 @t232)) % 0.36/0.78 (define @t238 () (forall @t7 @t237)) % 0.36/0.78 (define @t239 () (forall @t227 @t238)) % 0.36/0.78 (define @t240 () (forall (@list @t214 @t213 @t1) @t237)) % 0.36/0.78 (define @t241 () (@list @t1 @t214 @t213)) % 0.36/0.78 (define @t242 () (or @t220 @t219 @t218 @t232)) % 0.36/0.78 (define @t243 () (or @t235 @t115 @t234 @t242)) % 0.36/0.78 (define @t244 () (forall @t241 @t243)) % 0.36/0.78 (define @t245 () (forall @t227 @t243)) % 0.36/0.78 (define @t246 () (forall @t227 @t242)) % 0.36/0.78 (define @t247 () (@var "BOUND_VARIABLE_11152" $$unsorted)) % 0.36/0.78 (define @t248 () (@var "BOUND_VARIABLE_11150" $$unsorted)) % 0.36/0.78 (define @t249 () (@list @t248 @t247)) % 0.36/0.78 (define @t250 () (or @t235 @t115 @t234 @t246)) % 0.36/0.78 (define @t251 () (tptp.cons @t248 tptp.nil)) % 0.36/0.78 (define @t252 () (not (= @t1 (tptp.app @t247 @t251)))) % 0.36/0.78 (define @t253 () (tptp.app @t251 @t247)) % 0.36/0.78 (define @t254 () (not (= @t2 @t253))) % 0.36/0.78 (define @t255 () (not (tptp.ssList @t247))) % 0.36/0.78 (define @t256 () (not (tptp.ssItem @t248))) % 0.36/0.78 (define @t257 () (or @t256 @t255 @t254 @t252)) % 0.36/0.78 (define @t258 () (@list @t248 @t247)) % 0.36/0.78 (define @t259 () (forall @t258 @t257)) % 0.36/0.78 (define @t260 () 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(define @t278 () (or @t256 @t255 @t270 @t252)) % 0.36/0.78 (define @t279 () (or @t271 @t158 @t278)) % 0.36/0.78 (define @t280 () (forall @t277 @t279)) % 0.36/0.78 (define @t281 () (forall @t258 @t279)) % 0.36/0.78 (define @t282 () (forall @t258 @t278)) % 0.36/0.78 (define @t283 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 0.36/0.78 (define @t284 () (@var "BOUND_VARIABLE_11096" $$unsorted)) % 0.36/0.78 (define @t285 () (@list @t284 @t283)) % 0.36/0.78 (define @t286 () (or @t271 @t158 @t282)) % 0.36/0.78 (define @t287 () (tptp.cons @t284 tptp.nil)) % 0.36/0.78 (define @t288 () (tptp.app @t283 @t287)) % 0.36/0.78 (define @t289 () (not (= @t1 @t288))) % 0.36/0.78 (define @t290 () (not (= @t12 (tptp.app @t287 @t283)))) % 0.36/0.78 (define @t291 () (not (tptp.ssList @t283))) % 0.36/0.78 (define @t292 () (not (tptp.ssItem @t284))) % 0.36/0.78 (define @t293 () (or @t292 @t291 @t290 @t289)) % 0.36/0.78 (define @t294 () (@list @t284 @t283)) % 0.36/0.78 (define @t295 () (forall @t294 @t293)) % 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() (or @t115 @t234 @t292 @t291 @t290 @t312)) % 0.36/0.78 (define @t314 () (and @t313 @t116)) % 0.36/0.78 (define @t315 () (not @t13)) % 0.36/0.78 (define @t316 () (or @t159 @t315 @t159 @t314)) % 0.36/0.78 (define @t317 () (or @t315 @t159 @t314)) % 0.36/0.78 (define @t318 () (forall @t14 @t317)) % 0.36/0.78 (define @t319 () (forall @t294 @t318)) % 0.36/0.78 (define @t320 () (forall (@list @t284 @t283 @t10) @t317)) % 0.36/0.78 (define @t321 () (@list @t10 @t284 @t283)) % 0.36/0.78 (define @t322 () (or @t292 @t291 @t290 @t312)) % 0.36/0.78 (define @t323 () (or @t115 @t322 @t234)) % 0.36/0.78 (define @t324 () (and @t323 @t116)) % 0.36/0.78 (define @t325 () (or @t315 @t159 @t324)) % 0.36/0.78 (define @t326 () (forall @t321 @t325)) % 0.36/0.78 (define @t327 () (forall @t294 @t325)) % 0.36/0.78 (define @t328 () (forall @t294 @t116)) % 0.36/0.78 (define @t329 () (forall @t294 @t322)) % 0.36/0.78 (define @t330 () (@var "BOUND_VARIABLE_10973" $$unsorted)) % 0.36/0.78 (define @t331 () (or @t115 @t329 @t234)) % 0.36/0.78 (define @t332 () (forall @t294 @t323)) % 0.36/0.78 (define @t333 () (and @t332 @t328)) % 0.36/0.78 (define @t334 () (forall @t294 @t324)) % 0.36/0.78 (define @t335 () (or @t315 @t159 @t334)) % 0.36/0.78 (define @t336 () (not (= @t10 (tptp.app @t330 @t145)))) % 0.36/0.78 (define @t337 () (not (= @t12 (tptp.app @t145 @t330)))) % 0.36/0.78 (define @t338 () (not (tptp.ssList @t330))) % 0.36/0.78 (define @t339 () (not @t153)) % 0.36/0.78 (define @t340 () (or @t339 @t338 @t337 @t336)) % 0.36/0.78 (define @t341 () (@list @t28 @t330)) % 0.36/0.78 (define @t342 () (forall @t341 @t340)) % 0.36/0.78 (define @t343 () (and (or @t115 @t342 @t234) @t116)) % 0.36/0.78 (define @t344 () (or @t315 @t159 @t343)) % 0.36/0.78 (define @t345 () (forall @t14 @t344)) % 0.36/0.78 (define @t346 () (or @t158 @t345)) % 0.36/0.78 (define @t347 () (or @t158 @t344)) % 0.36/0.78 (define @t348 () (or @t315 @t159 @t158 @t343)) % 0.36/0.78 (define @t349 () (not @t233)) % 0.36/0.78 (define @t350 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@t371 () (or @t369 @t370 @t369 @t368)) % 0.36/0.78 (define @t372 () (or @t370 @t369 @t368)) % 0.36/0.78 (define @t373 () (forall @t142 @t372)) % 0.36/0.78 (define @t374 () (or @t358 @t356 @t354 @t352 @t373)) % 0.36/0.78 (define @t375 () (or @t358 @t356 @t354 @t352 @t372)) % 0.36/0.78 (define @t376 () (or @t370 @t369 @t358 @t356 @t354 @t352 @t368)) % 0.36/0.78 (define @t377 () (or @t358 @t356 @t354 @t352 @t368)) % 0.36/0.78 (define @t378 () (not @t377)) % 0.36/0.78 (define @t379 () (not @t378)) % 0.36/0.78 (define @t380 () (or @t370 @t369 @t379)) % 0.36/0.78 (define @t381 () (and @t140 @t139 @t378)) % 0.36/0.78 (define @t382 () (forall @t142 (not @t381))) % 0.36/0.78 (define @t383 () (not @t382)) % 0.36/0.78 (define @t384 () (or @t352 @t368)) % 0.36/0.78 (define @t385 () (not (= @t65 @t65))) % 0.36/0.78 (define @t386 () (or @t352 @t385 @t368)) % 0.36/0.78 (define @t387 () (not (= @t127 (tptp.app @t128 @t197)))) % 0.36/0.78 (define @t388 () (not @t130)) % 0.36/0.78 (define @t389 () (not @t135)) % 0.36/0.78 (define @t390 () (or @t388 @t389 @t388 @t387)) % 0.36/0.78 (define @t391 () (or @t389 @t388 @t387)) % 0.36/0.78 (define @t392 () (forall @t137 @t391)) % 0.36/0.78 (define @t393 () (or @t358 @t356 @t354 @t392)) % 0.36/0.78 (define @t394 () (or @t358 @t356 @t354 @t391)) % 0.36/0.78 (define @t395 () (or @t389 @t388 @t358 @t356 @t354 @t387)) % 0.36/0.78 (define @t396 () (or @t388 @t358 @t356 @t354 @t387)) % 0.36/0.78 (define @t397 () (not @t396)) % 0.36/0.78 (define @t398 () (and @t135 @t397)) % 0.36/0.78 (define @t399 () (forall @t137 (not @t398))) % 0.36/0.78 (define @t400 () (not @t399)) % 0.36/0.78 (define @t401 () (or @t354 @t387)) % 0.36/0.78 (define @t402 () (not (= @t197 @t197))) % 0.36/0.78 (define @t403 () (or @t354 @t387 @t402)) % 0.36/0.78 (define @t404 () (not (= @t121 @t197))) % 0.36/0.78 (define @t405 () (= @t127 @t129)) % 0.36/0.78 (define @t406 () (not @t405)) % 0.36/0.78 (define @t407 () (not @t131)) % 0.36/0.78 (define @t408 () (or @t404 @t407 @t406 @t404)) % 0.36/0.78 (define @t409 () (or @t407 @t406 @t404)) % 0.36/0.78 (define @t410 () (forall @t133 @t409)) % 0.36/0.78 (define @t411 () (or @t388 @t358 @t356 @t410)) % 0.36/0.78 (define @t412 () (or @t388 @t358 @t356 @t409)) % 0.36/0.78 (define @t413 () (or @t407 @t388 @t406 @t358 @t356 @t404)) % 0.36/0.78 (define @t414 () (or @t358 @t356 @t404)) % 0.36/0.78 (define @t415 () (not @t414)) % 0.36/0.78 (define @t416 () (not @t415)) % 0.36/0.78 (define @t417 () (or @t407 @t388 @t406 @t416 @t358)) % 0.36/0.78 (define @t418 () (and @t131 @t130 @t405 @t415 @t118)) % 0.36/0.78 (define @t419 () (forall @t133 (not @t418))) % 0.36/0.78 (define @t420 () (not @t419)) % 0.36/0.78 (define @t421 () (or @t356 @t404)) % 0.36/0.78 (define @t422 () (not (= @t54 @t54))) % 0.36/0.78 (define @t423 () (or @t356 @t404 @t422)) % 0.36/0.78 (define @t424 () (not @t120)) % 0.36/0.78 (define @t425 () (= @t121 @t122)) % 0.36/0.78 (define @t426 () (not @t425)) % 0.36/0.78 (define @t427 () (not @t123)) % 0.36/0.78 (define @t428 () (or @t424 @t427 @t426 @t424)) % 0.36/0.78 (define @t429 () (or @t427 @t426 @t424)) % 0.36/0.78 (define @t430 () (forall @t125 @t429)) % 0.36/0.78 (define @t431 () (or @t358 @t430)) % 0.36/0.78 (define @t432 () (or @t358 @t429)) % 0.36/0.78 (define @t433 () (or @t427 @t426 @t424 @t358)) % 0.36/0.78 (define @t434 () (and @t123 @t425 @t120 @t118)) % 0.36/0.78 (define @t435 () (forall @t125 (not @t434))) % 0.36/0.78 (define @t436 () (not @t435)) % 0.36/0.78 (define @t437 () (or @t338 @t337 @t336)) % 0.36/0.78 (define @t438 () (or @t339 @t437)) % 0.36/0.78 (define @t439 () (forall @t341 @t438)) % 0.36/0.78 (define @t440 () (@list @t330)) % 0.36/0.78 (define @t441 () (forall @t440 @t438)) % 0.36/0.78 (define @t442 () (forall @t440 @t437)) % 0.36/0.78 (define @t443 () (or @t339 @t442)) % 0.36/0.78 (define @t444 () (not (= @t10 @t146))) % 0.36/0.78 (define @t445 () (not (= @t12 @t148))) % 0.36/0.78 (define @t446 () (not @t30)) % 0.36/0.78 (define @t447 () (or @t446 @t445 @t444)) % 0.36/0.78 (define @t448 () (forall @t31 @t447)) % 0.36/0.78 (define @t449 () (or @t445 @t444)) % 0.36/0.78 (define @t450 () (forall @t195 @t191)) % 0.36/0.78 (define @t451 () (@quantifiers_skolemize @t450 1)) % 0.36/0.78 (define @t452 () (tptp.ssList @t451)) % 0.36/0.78 (define @t453 () (not @t452)) % 0.36/0.78 (define @t454 () (@quantifiers_skolemize @t450 0)) % 0.36/0.78 (define @t455 () (tptp.ssItem @t454)) % 0.36/0.78 (define @t456 () (not @t455)) % 0.36/0.78 (define @t457 () (tptp.cons @t454 tptp.nil)) % 0.36/0.78 (define @t458 () (tptp.app @t457 @t451)) % 0.36/0.78 (define @t459 () (tptp.neq @t458 tptp.nil)) % 0.36/0.78 (define @t460 () (tptp.hd @t458)) % 0.36/0.78 (define @t461 () (tptp.cons @t460 tptp.nil)) % 0.36/0.78 (define @t462 () (tptp.tl @t458)) % 0.36/0.78 (define @t463 () (tptp.app @t451 @t457)) % 0.36/0.78 (define @t464 () (= @t463 (tptp.app @t462 @t461))) % 0.36/0.78 (define @t465 () (tptp.ssList @t463)) % 0.36/0.78 (define @t466 () (tptp.ssList @t462)) % 0.36/0.78 (define @t467 () (tptp.ssList @t461)) % 0.36/0.78 (define @t468 () (tptp.ssItem @t460)) % 0.36/0.78 (define @t469 () (tptp.neq tptp.nil @t458)) % 0.36/0.78 (define @t470 () (and @t469 @t468 @t467 @t466 @t465 @t464 @t459)) % 0.36/0.78 (define @t471 () (not @t465)) % 0.36/0.78 (define @t472 () (tptp.ssList @t458)) % 0.36/0.78 (define @t473 () (not @t472)) % 0.36/0.78 (define @t474 () (or @t473 @t471 (not (tptp.neq @t463 tptp.nil)) @t470 @t456 @t453)) % 0.36/0.78 (define @t475 () (@list true)) % 0.36/0.78 (define @t476 () (@list @t474)) % 0.36/0.78 (define @t477 () (@var "BOUND_VARIABLE_9136" $$unsorted)) % 0.36/0.78 (define @t478 () (= (tptp.neq @t2 @t477) (not (= @t2 @t477)))) % 0.36/0.78 (define @t479 () (not (tptp.ssList @t477))) % 0.36/0.78 (define @t480 () (or @t201 @t479 @t478)) % 0.36/0.78 (define @t481 () (or @t479 @t478)) % 0.36/0.78 (define @t482 () (or @t201 @t481)) % 0.36/0.78 (define @t483 () (@list @t2 @t477)) % 0.36/0.78 (define @t484 () (forall @t483 @t482)) % 0.36/0.78 (define @t485 () (@list @t477)) % 0.36/0.78 (define @t486 () (forall @t485 @t482)) % 0.36/0.78 (define @t487 () (forall @t485 @t481)) % 0.36/0.78 (define @t488 () (@list @t1)) % 0.36/0.78 (define @t489 () (or @t201 @t487)) % 0.36/0.78 (define @t490 () (forall @t7 (or @t235 @t5))) % 0.36/0.78 (define @t491 () (= @t458 tptp.nil)) % 0.36/0.78 (define @t492 () (not @t491)) % 0.36/0.78 (define @t493 () (= @t459 @t492)) % 0.36/0.78 (define @t494 () (not @t45)) % 0.36/0.78 (define @t495 () (or @t473 @t494 @t493)) % 0.36/0.78 (define @t496 () (forall @t483 @t480)) % 0.36/0.78 (define @t497 () (= tptp.nil @t458)) % 0.36/0.78 (define @t498 () (not @t497)) % 0.36/0.78 (define @t499 () (= @t459 @t498)) % 0.36/0.78 (define @t500 () (or @t473 @t494 @t499)) % 0.36/0.78 (define @t501 () (@list false)) % 0.36/0.78 (define @t502 () (@list false false false)) % 0.36/0.78 (define @t503 () (= @t2 tptp.nil)) % 0.36/0.78 (define @t504 () (@var "BOUND_VARIABLE_10629" $$unsorted)) % 0.36/0.78 (define @t505 () (and (= @t504 tptp.nil) @t503)) % 0.36/0.78 (define @t506 () (= tptp.nil (tptp.app @t2 @t504))) % 0.36/0.78 (define @t507 () (= @t506 @t505)) % 0.36/0.78 (define @t508 () (not (tptp.ssList @t504))) % 0.36/0.78 (define @t509 () (or @t201 @t508 @t507)) % 0.36/0.78 (define @t510 () (or @t508 @t507)) % 0.36/0.78 (define @t511 () (or @t201 @t510)) % 0.36/0.78 (define @t512 () (@list @t2 @t504)) % 0.36/0.78 (define @t513 () (forall @t512 @t511)) % 0.36/0.78 (define @t514 () (@list @t504)) % 0.36/0.78 (define @t515 () (forall @t514 @t511)) % 0.36/0.78 (define @t516 () (forall @t514 @t510)) % 0.36/0.78 (define @t517 () (or @t201 @t516)) % 0.36/0.78 (define @t518 () (= @t96 (and (= @t1 tptp.nil) @t503))) % 0.36/0.78 (define @t519 () (forall @t7 (or @t235 @t518))) % 0.36/0.78 (define @t520 () (= tptp.nil @t451)) % 0.36/0.78 (define @t521 () (= @t457 tptp.nil)) % 0.36/0.78 (define @t522 () (and @t520 @t521)) % 0.36/0.78 (define @t523 () (= @t497 @t522)) % 0.36/0.78 (define @t524 () (tptp.ssList @t457)) % 0.36/0.78 (define @t525 () (not @t524)) % 0.36/0.78 (define @t526 () (or @t525 @t453 @t523)) % 0.36/0.78 (define @t527 () (forall @t512 (or @t201 @t508 (= @t506 (and (= tptp.nil @t504) @t503))))) % 0.36/0.78 (define @t528 () (@list @t457 @t451)) % 0.36/0.78 (define @t529 () (= tptp.nil @t457)) % 0.36/0.78 (define @t530 () (and @t520 @t529)) % 0.36/0.78 (define @t531 () (= @t497 @t530)) % 0.36/0.78 (define @t532 () (or @t525 @t453 @t531)) % 0.36/0.78 (define @t533 () (@var "BOUND_VARIABLE_9157" $$unsorted)) % 0.36/0.78 (define @t534 () (tptp.ssList (tptp.cons @t533 @t2))) % 0.36/0.78 (define @t535 () (not (tptp.ssItem @t533))) % 0.36/0.78 (define @t536 () (or @t535 @t534)) % 0.36/0.78 (define @t537 () (or @t201 @t536)) % 0.36/0.78 (define @t538 () (forall (@list @t2 @t533) @t537)) % 0.36/0.78 (define @t539 () (@list @t533)) % 0.36/0.78 (define @t540 () (forall @t539 @t537)) % 0.36/0.78 (define @t541 () (forall @t539 @t536)) % 0.36/0.78 (define @t542 () (or @t201 @t541)) % 0.36/0.78 (define @t543 () (not @t6)) % 0.36/0.78 (define @t544 () (forall @t7 (or @t543 @t41))) % 0.36/0.78 (define @t545 () (@list tptp.nil @t454)) % 0.36/0.78 (define @t546 () (or @t494 @t456 @t524)) % 0.36/0.78 (define @t547 () (@var "BOUND_VARIABLE_9180" $$unsorted)) % 0.36/0.78 (define @t548 () (not (= @t2 (tptp.cons @t547 @t2)))) % 0.36/0.78 (define @t549 () (not (tptp.ssItem @t547))) % 0.36/0.78 (define @t550 () (or @t549 @t548)) % 0.36/0.78 (define @t551 () (or @t201 @t550)) % 0.36/0.78 (define @t552 () (forall (@list @t2 @t547) @t551)) % 0.36/0.78 (define @t553 () (@list @t547)) % 0.36/0.78 (define @t554 () (forall @t553 @t551)) % 0.36/0.78 (define @t555 () (forall @t553 @t550)) % 0.36/0.78 (define @t556 () (or @t201 @t555)) % 0.36/0.78 (define @t557 () (not (= @t2 @t40))) % 0.36/0.78 (define @t558 () (forall @t7 (or @t543 @t557))) % 0.36/0.78 (define @t559 () (not @t529)) % 0.36/0.78 (define @t560 () (or @t494 @t456 @t559)) % 0.36/0.78 (define @t561 () (not @t530)) % 0.36/0.78 (define @t562 () (@list true false)) % 0.36/0.78 (define @t563 () (not @t499)) % 0.36/0.78 (define @t564 () (not @t498)) % 0.36/0.78 (define @t565 () (or @t201 @t503 @t55)) % 0.36/0.78 (define @t566 () (not @t503)) % 0.36/0.78 (define @t567 () (not @t566)) % 0.36/0.78 (define @t568 () (=> @t566 @t55)) % 0.36/0.78 (define @t569 () (or @t473 @t491 @t468)) % 0.36/0.78 (define @t570 () (forall @t9 @t565)) % 0.36/0.78 (define @t571 () (@list @t458)) % 0.36/0.78 (define @t572 () (or @t473 @t497 @t468)) % 0.36/0.78 (define @t573 () (@list false true false)) % 0.36/0.78 (define @t574 () (or @t201 @t503 @t66)) % 0.36/0.78 (define @t575 () (=> @t566 @t66)) % 0.36/0.78 (define @t576 () (or @t473 @t491 @t466)) % 0.36/0.78 (define @t577 () (forall @t9 @t574)) % 0.36/0.78 (define @t578 () (or @t473 @t497 @t466)) % 0.36/0.78 (define @t579 () (= @t469 @t498)) % 0.36/0.78 (define @t580 () (or @t494 @t473 @t579)) % 0.36/0.78 (define @t581 () (not @t579)) % 0.36/0.78 (define @t582 () (@var "BOUND_VARIABLE_9351" $$unsorted)) % 0.36/0.78 (define @t583 () (= @t582 (tptp.hd (tptp.cons @t582 @t2)))) % 0.36/0.78 (define @t584 () (not (tptp.ssItem @t582))) % 0.36/0.78 (define @t585 () (or @t584 @t583)) % 0.36/0.78 (define @t586 () (or @t201 @t585)) % 0.36/0.78 (define @t587 () (forall (@list @t2 @t582) @t586)) % 0.36/0.78 (define @t588 () (@list @t582)) % 0.36/0.78 (define @t589 () (forall @t588 @t586)) % 0.36/0.78 (define @t590 () (forall @t588 @t585)) % 0.36/0.78 (define @t591 () (or @t201 @t590)) % 0.36/0.78 (define @t592 () (= @t1 @t60)) % 0.36/0.78 (define @t593 () (forall @t7 (or @t543 @t592))) % 0.36/0.78 (define @t594 () (tptp.hd @t457)) % 0.36/0.78 (define @t595 () (= @t454 @t594)) % 0.36/0.78 (define @t596 () (or @t494 @t456 @t595)) % 0.36/0.78 (define @t597 () (@var "BOUND_VARIABLE_10669" $$unsorted)) % 0.36/0.78 (define @t598 () (= @t54 (tptp.hd (tptp.app @t2 @t597)))) % 0.36/0.78 (define @t599 () (not (tptp.ssList @t597))) % 0.36/0.78 (define @t600 () (or @t201 @t503 @t599 @t598)) % 0.36/0.78 (define @t601 () (or @t599 @t598)) % 0.36/0.78 (define @t602 () (or @t201 @t503 @t601)) % 0.36/0.78 (define @t603 () (@list @t2 @t597)) % 0.36/0.78 (define @t604 () (forall @t603 @t602)) % 0.36/0.78 (define @t605 () (@list @t597)) % 0.36/0.78 (define @t606 () (forall @t605 @t602)) % 0.36/0.78 (define @t607 () (forall @t605 @t601)) % 0.36/0.78 (define @t608 () (or @t201 @t503 @t607)) % 0.36/0.78 (define @t609 () (= @t54 @t102)) % 0.36/0.78 (define @t610 () (or @t235 @t609)) % 0.36/0.78 (define @t611 () (forall @t7 @t610)) % 0.36/0.78 (define @t612 () (or @t201 @t503 @t611)) % 0.36/0.78 (define @t613 () (or @t503 @t611)) % 0.36/0.78 (define @t614 () (or @t503 @t610)) % 0.36/0.78 (define @t615 () (or @t235 @t503 @t609)) % 0.36/0.78 (define @t616 () (=> @t566 @t609)) % 0.36/0.78 (define @t617 () (or @t525 @t521 @t453 (= @t594 @t460))) % 0.36/0.78 (define @t618 () (forall @t603 @t600)) % 0.36/0.78 (define @t619 () (= @t460 @t594)) % 0.36/0.78 (define @t620 () (or @t525 @t529 @t453 @t619)) % 0.36/0.78 (define @t621 () (@list false true false false)) % 0.36/0.78 (define @t622 () (@var "BOUND_VARIABLE_10696" $$unsorted)) % 0.36/0.78 (define @t623 () (= (tptp.tl (tptp.app @t2 @t622)) (tptp.app @t65 @t622))) % 0.36/0.78 (define @t624 () (not (tptp.ssList @t622))) % 0.36/0.78 (define @t625 () (or @t201 @t503 @t624 @t623)) % 0.36/0.78 (define @t626 () (or @t624 @t623)) % 0.36/0.78 (define @t627 () (or @t201 @t503 @t626)) % 0.36/0.78 (define @t628 () (@list @t2 @t622)) % 0.36/0.78 (define @t629 () (forall @t628 @t627)) % 0.36/0.78 (define @t630 () (@list @t622)) % 0.36/0.78 (define @t631 () (forall @t630 @t627)) % 0.36/0.78 (define @t632 () (forall @t630 @t626)) % 0.36/0.78 (define @t633 () (or @t201 @t503 @t632)) % 0.36/0.78 (define @t634 () (or @t235 @t108)) % 0.36/0.78 (define @t635 () (forall @t7 @t634)) % 0.36/0.78 (define @t636 () (or @t201 @t503 @t635)) % 0.36/0.78 (define @t637 () (or @t503 @t635)) % 0.36/0.78 (define @t638 () (or @t503 @t634)) % 0.36/0.78 (define @t639 () (or @t235 @t503 @t108)) % 0.36/0.78 (define @t640 () (=> @t566 @t108)) % 0.36/0.78 (define @t641 () (tptp.tl @t457)) % 0.36/0.78 (define @t642 () (= @t462 (tptp.app @t641 @t451))) % 0.36/0.78 (define @t643 () (or @t525 @t521 @t453 @t642)) % 0.36/0.78 (define @t644 () (forall @t628 @t625)) % 0.36/0.78 (define @t645 () (or @t525 @t529 @t453 @t642)) % 0.36/0.78 (define @t646 () (@var "BOUND_VARIABLE_9381" $$unsorted)) % 0.36/0.78 (define @t647 () (= @t2 (tptp.tl (tptp.cons @t646 @t2)))) % 0.36/0.78 (define @t648 () (not (tptp.ssItem @t646))) % 0.36/0.78 (define @t649 () (or @t648 @t647)) % 0.36/0.78 (define @t650 () (or @t201 @t649)) % 0.36/0.78 (define @t651 () (forall (@list @t2 @t646) @t650)) % 0.36/0.78 (define @t652 () (@list @t646)) % 0.36/0.78 (define @t653 () (forall @t652 @t650)) % 0.36/0.78 (define @t654 () (forall @t652 @t649)) % 0.36/0.78 (define @t655 () (or @t201 @t654)) % 0.36/0.78 (define @t656 () (= @t2 @t70)) % 0.36/0.78 (define @t657 () (forall @t7 (or @t543 @t656))) % 0.36/0.78 (define @t658 () (= tptp.nil @t641)) % 0.36/0.78 (define @t659 () (or @t494 @t456 @t658)) % 0.36/0.78 (define @t660 () (tptp.app tptp.nil @t451)) % 0.36/0.78 (define @t661 () (= @t2 @t77)) % 0.36/0.78 (define @t662 () (= @t451 @t660)) % 0.36/0.78 (define @t663 () (or @t453 @t662)) % 0.36/0.78 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.36/0.78 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.36/0.78 (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))))))))))) % 0.36/0.78 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.36/0.78 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.36/0.78 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.36/0.78 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.36/0.78 (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))))))))))))))))) % 0.36/0.78 (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)))))))))))))))) % 0.36/0.78 (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))))))))))))))))) % 0.36/0.78 (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))))))))))))))) % 0.36/0.78 (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))))))))))))))) % 0.36/0.78 (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)))))))))))))))) % 0.36/0.78 (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))))))))))))) % 0.36/0.78 (assume @p15 @t39) % 0.36/0.78 (assume @p16 @t44) % 0.36/0.78 (assume @p17 @t45) % 0.36/0.78 (assume @p18 @t50) % 0.36/0.78 (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))))))))))) % 0.36/0.78 (assume @p20 (forall @t9 (=> @t17 (or @t53 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t52 @t2))))))))) % 0.36/0.78 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.36/0.78 (assume @p22 @t59) % 0.36/0.78 (assume @p23 @t64) % 0.36/0.78 (assume @p24 @t69) % 0.36/0.78 (assume @p25 @t74) % 0.36/0.78 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t75)))))) % 0.36/0.78 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t76) (tptp.app @t52 @t2))))))))) % 0.36/0.78 (assume @p28 @t79) % 0.36/0.78 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 @t80) @t3)))))) % 0.36/0.78 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t81 @t26) (tptp.leq @t2 @t12))))))))) % 0.36/0.78 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.36/0.78 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t80)))))) % 0.36/0.78 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not @t83))))))) % 0.36/0.78 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t84 @t35) @t85)))))))) % 0.36/0.78 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t86 @t83)))))) % 0.36/0.78 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t87))))))))) % 0.36/0.78 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t87))))))))) % 0.36/0.78 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.36/0.78 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.36/0.78 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.36/0.78 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.36/0.78 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.36/0.78 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.36/0.78 (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)))))))))))) % 0.36/0.78 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.36/0.78 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t53)))) % 0.36/0.78 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.36/0.78 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.36/0.78 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.36/0.78 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t88 @t1))))))))) % 0.36/0.78 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.36/0.78 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t53)))) % 0.36/0.78 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.36/0.78 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.36/0.78 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.36/0.78 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t88 @t10) @t1))))))))))) % 0.36/0.78 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.36/0.78 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t53)))) % 0.36/0.78 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t89)))) % 0.36/0.78 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.36/0.78 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t89)))) % 0.36/0.78 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.36/0.78 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t89)))) % 0.36/0.78 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.36/0.78 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t89)))) % 0.36/0.78 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.36/0.78 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t93) (or @t91 (and @t92 (tptp.totalorderedP @t1) (tptp.leq @t2 @t90))))))))) % 0.36/0.78 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t89)))) % 0.36/0.78 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.36/0.78 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t93) (or @t91 (and @t92 (tptp.strictorderedP @t1) (tptp.lt @t2 @t90))))))))) % 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(step @p1054 :rule trans :premises (@p1053 @p1051)) % 0.36/0.78 (step @p1055 :rule bool-impl-elim :args (@t6 @t656)) % 0.36/0.78 (step @p1056 :rule cong :premises (@p1055) :args ((forall @t7 (=> @t6 @t656)))) % 0.36/0.78 (step @p1057 :rule eq-symm :args (@t70 @t2)) % 0.36/0.78 (step @p1058 :rule cong :premises (@p789 @p1057) :args (@t71)) % 0.36/0.78 (step @p1059 :rule cong :premises (@p1058) :args (@t72)) % 0.36/0.78 (step @p1060 :rule trans :premises (@p1059 @p1056)) % 0.36/0.78 (step @p1061 :rule cong :premises (@p624 @p1060) :args (@t73)) % 0.36/0.78 (step @p1062 :rule cong :premises (@p1061) :args (@t74)) % 0.36/0.78 (step @p1063 :rule trans :premises (@p1062 @p1054)) % 0.36/0.78 (step @p1064 :rule eq_resolve :premises (@p25 @p1063)) % 0.36/0.78 (step @p1065 :rule instantiate :premises (@p1064) :args (@t545)) % 0.36/0.78 (step @p1066 :rule cnf_or_pos :args (@t659)) % 0.36/0.78 (step @p1067 :rule reordering :premises (@p1066) :args ((or @t494 @t456 @t658 (not @t659)))) % 0.36/0.78 (step @p1068 :rule chain_m_resolution :premises (@p1067 @p17 @p758 @p1065) :args (@t658 @t502 (@list @t45 @t455 @t659))) % 0.36/0.78 (step @p1069 :rule cong :premises (@p1068 @p1040) :args (@t660)) % 0.36/0.78 (step @p1070 :rule bool-impl-elim :args (@t17 @t661)) % 0.36/0.78 (step @p1071 :rule cong :premises (@p1070) :args ((forall @t9 (=> @t17 @t661)))) % 0.36/0.78 (step @p1072 :rule eq-symm :args (@t77 @t2)) % 0.36/0.78 (step @p1073 :rule cong :premises (@p624 @p1072) :args (@t78)) % 0.36/0.78 (step @p1074 :rule cong :premises (@p1073) :args (@t79)) % 0.36/0.78 (step @p1075 :rule trans :premises (@p1074 @p1071)) % 0.36/0.78 (step @p1076 :rule eq_resolve :premises (@p28 @p1075)) % 0.36/0.78 (step @p1077 :rule instantiate :premises (@p1076) :args ((@list @t451))) % 0.36/0.78 (step @p1078 :rule cnf_or_pos :args (@t663)) % 0.36/0.78 (step @p1079 :rule reordering :premises (@p1078) :args ((or @t453 @t662 (not @t663)))) % 0.36/0.78 (step @p1080 :rule chain_m_resolution :premises (@p1079 @p767 @p1077) :args (@t662 (@list false false) (@list @t452 @t663))) % 0.36/0.78 (step @p1081 :rule trans :premises (@p1080 @p1069 @p1039)) % 0.36/0.78 (step @p1082 :rule cong :premises (@p1081 @p984) :args (@t463)) % 0.36/0.78 (step @p1083 :rule cnf_and_neg :args (@t470)) % 0.36/0.78 (step @p1084 :rule reordering :premises (@p1083) :args ((or @t471 @t470 (not @t469) (not @t468) (not @t467) (not @t466) (not @t464) (not @t459)))) % 0.36/0.78 (step @p1085 false :rule chain_m_resolution :premises (@p1084 @p1082 @p981 @p890 @p884 @p873 @p844 @p813 @p632) :args (false (@list false false false false false false false true) (@list @t464 @t467 @t465 @t469 @t466 @t468 @t459 @t470))) % 0.36/0.78 ) % 0.36/0.78 % SZS output end Proof % 0.36/0.78 % cvc5 exiting %------------------------------------------------------------------------------