%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC109+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:58:05 AM UTC 2026 % Result : Theorem 1.03s 1.26s % Output : Proof 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC109+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:15:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.03/1.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.26 % SZS status Theorem % 1.03/1.26 % SZS output start Proof % 1.03/1.26 ( % 1.03/1.26 (declare-sort $$unsorted 0) % 1.03/1.26 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.nil $$unsorted) % 1.03/1.26 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (define @t1 () (@var "V" $$unsorted)) % 1.03/1.26 (define @t2 () (@var "U" $$unsorted)) % 1.03/1.26 (define @t3 () (= @t2 @t1)) % 1.03/1.26 (define @t4 () (not @t3)) % 1.03/1.26 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.03/1.26 (define @t6 () (tptp.ssItem @t1)) % 1.03/1.26 (define @t7 () (@list @t1)) % 1.03/1.26 (define @t8 () (tptp.ssItem @t2)) % 1.03/1.26 (define @t9 () (@list @t2)) % 1.03/1.26 (define @t10 () (@var "X" $$unsorted)) % 1.03/1.26 (define @t11 () (tptp.cons @t1 @t10)) % 1.03/1.26 (define @t12 () (@var "W" $$unsorted)) % 1.03/1.26 (define @t13 () (tptp.ssList @t10)) % 1.03/1.26 (define @t14 () (@list @t10)) % 1.03/1.26 (define @t15 () (tptp.ssList @t12)) % 1.03/1.26 (define @t16 () (@list @t12)) % 1.03/1.26 (define @t17 () (tptp.ssList @t2)) % 1.03/1.26 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.03/1.26 (define @t19 () (tptp.app @t1 @t12)) % 1.03/1.26 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.03/1.26 (define @t21 () (tptp.ssList @t1)) % 1.03/1.26 (define @t22 () (tptp.app @t12 @t1)) % 1.03/1.26 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.03/1.26 (define @t24 () (tptp.segmentP @t2 @t1)) % 1.03/1.26 (define @t25 () (tptp.leq @t12 @t1)) % 1.03/1.26 (define @t26 () (tptp.leq @t1 @t12)) % 1.03/1.26 (define @t27 () (@var "Z" $$unsorted)) % 1.03/1.26 (define @t28 () (@var "Y" $$unsorted)) % 1.03/1.26 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 1.03/1.26 (define @t30 () (tptp.ssList @t27)) % 1.03/1.26 (define @t31 () (@list @t27)) % 1.03/1.26 (define @t32 () (tptp.ssList @t28)) % 1.03/1.26 (define @t33 () (@list @t28)) % 1.03/1.26 (define @t34 () (tptp.ssItem @t12)) % 1.03/1.26 (define @t35 () (tptp.lt @t1 @t12)) % 1.03/1.26 (define @t36 () (= @t1 @t12)) % 1.03/1.26 (define @t37 () (forall @t7 (=> @t21 @t5))) % 1.03/1.26 (define @t38 () (=> @t17 @t37)) % 1.03/1.26 (define @t39 () (forall @t9 @t38)) % 1.03/1.26 (define @t40 () (tptp.cons @t1 @t2)) % 1.03/1.26 (define @t41 () (tptp.ssList tptp.nil)) % 1.03/1.26 (define @t42 () (not (= @t40 @t2))) % 1.03/1.26 (define @t43 () (=> @t6 @t42)) % 1.03/1.26 (define @t44 () (forall @t7 @t43)) % 1.03/1.26 (define @t45 () (=> @t17 @t44)) % 1.03/1.26 (define @t46 () (forall @t9 @t45)) % 1.03/1.26 (define @t47 () (= @t1 @t2)) % 1.03/1.26 (define @t48 () (tptp.cons @t12 @t1)) % 1.03/1.26 (define @t49 () (= tptp.nil @t2)) % 1.03/1.26 (define @t50 () (tptp.hd @t2)) % 1.03/1.26 (define @t51 () (not @t49)) % 1.03/1.26 (define @t52 () (tptp.tl @t2)) % 1.03/1.26 (define @t53 () (tptp.app @t2 @t1)) % 1.03/1.26 (define @t54 () (tptp.ssList @t53)) % 1.03/1.26 (define @t55 () (forall @t7 (=> @t21 @t54))) % 1.03/1.26 (define @t56 () (=> @t17 @t55)) % 1.03/1.26 (define @t57 () (forall @t9 @t56)) % 1.03/1.26 (define @t58 () (tptp.app @t1 @t2)) % 1.03/1.26 (define @t59 () (tptp.leq @t1 @t2)) % 1.03/1.26 (define @t60 () (tptp.leq @t2 @t1)) % 1.03/1.26 (define @t61 () (tptp.geq @t2 @t1)) % 1.03/1.26 (define @t62 () (tptp.lt @t1 @t2)) % 1.03/1.26 (define @t63 () (tptp.lt @t2 @t1)) % 1.03/1.26 (define @t64 () (tptp.lt @t2 @t12)) % 1.03/1.26 (define @t65 () (tptp.gt @t2 @t1)) % 1.03/1.26 (define @t66 () (tptp.memberP @t12 @t2)) % 1.03/1.26 (define @t67 () (tptp.app @t12 @t2)) % 1.03/1.26 (define @t68 () (tptp.segmentP @t1 @t2)) % 1.03/1.26 (define @t69 () (tptp.segmentP @t2 @t2)) % 1.03/1.26 (define @t70 () (forall @t9 (=> @t17 @t69))) % 1.03/1.26 (define @t71 () (tptp.segmentP (tptp.app @t67 @t10) @t1)) % 1.03/1.26 (define @t72 () (=> @t24 @t71)) % 1.03/1.26 (define @t73 () (forall @t14 (=> @t13 @t72))) % 1.03/1.26 (define @t74 () (=> @t15 @t73)) % 1.03/1.26 (define @t75 () (forall @t16 @t74)) % 1.03/1.26 (define @t76 () (=> @t21 @t75)) % 1.03/1.26 (define @t77 () (forall @t7 @t76)) % 1.03/1.26 (define @t78 () (=> @t17 @t77)) % 1.03/1.26 (define @t79 () (forall @t9 @t78)) % 1.03/1.26 (define @t80 () (tptp.cons @t2 tptp.nil)) % 1.03/1.26 (define @t81 () (tptp.hd @t1)) % 1.03/1.26 (define @t82 () (= tptp.nil @t1)) % 1.03/1.26 (define @t83 () (not @t82)) % 1.03/1.26 (define @t84 () (tptp.cons @t2 @t1)) % 1.03/1.26 (define @t85 () (= @t12 @t2)) % 1.03/1.26 (define @t86 () (and @t82 @t49)) % 1.03/1.26 (define @t87 () (= tptp.nil @t53)) % 1.03/1.26 (define @t88 () (= @t87 @t86)) % 1.03/1.26 (define @t89 () (=> @t21 @t88)) % 1.03/1.26 (define @t90 () (forall @t7 @t89)) % 1.03/1.26 (define @t91 () (=> @t17 @t90)) % 1.03/1.26 (define @t92 () (forall @t9 @t91)) % 1.03/1.26 (define @t93 () (tptp.neq @t2 tptp.nil)) % 1.03/1.26 (define @t94 () (or (not (tptp.neq @t1 tptp.nil)) (and @t93 @t68))) % 1.03/1.26 (define @t95 () (or @t83 @t49)) % 1.03/1.26 (define @t96 () (and @t95 @t94)) % 1.03/1.26 (define @t97 () (not (= tptp.nil @t12))) % 1.03/1.26 (define @t98 () (not (= tptp.nil @t10))) % 1.03/1.26 (define @t99 () (or @t98 @t97)) % 1.03/1.26 (define @t100 () (@var "X3" $$unsorted)) % 1.03/1.26 (define @t101 () (tptp.lt @t100 @t28)) % 1.03/1.26 (define @t102 () (@var "X1" $$unsorted)) % 1.03/1.26 (define @t103 () (tptp.memberP @t102 @t100)) % 1.03/1.26 (define @t104 () (tptp.ssItem @t100)) % 1.03/1.26 (define @t105 () (and @t104 @t103 @t101)) % 1.03/1.26 (define @t106 () (@list @t100)) % 1.03/1.26 (define @t107 () (exists @t106 @t105)) % 1.03/1.26 (define @t108 () (@var "X2" $$unsorted)) % 1.03/1.26 (define @t109 () (tptp.lt @t28 @t108)) % 1.03/1.26 (define @t110 () (tptp.memberP @t27 @t108)) % 1.03/1.26 (define @t111 () (tptp.ssItem @t108)) % 1.03/1.26 (define @t112 () (and @t111 @t110 @t109)) % 1.03/1.26 (define @t113 () (@list @t108)) % 1.03/1.26 (define @t114 () (exists @t113 @t112)) % 1.03/1.26 (define @t115 () (tptp.app @t27 @t12)) % 1.03/1.26 (define @t116 () (tptp.app @t115 @t102)) % 1.03/1.26 (define @t117 () (not (= @t116 @t10))) % 1.03/1.26 (define @t118 () (tptp.cons @t28 tptp.nil)) % 1.03/1.26 (define @t119 () (not (= @t118 @t12))) % 1.03/1.26 (define @t120 () (not (tptp.ssList @t102))) % 1.03/1.26 (define @t121 () (or @t120 @t119 @t117 @t114 @t107)) % 1.03/1.26 (define @t122 () (@list @t102)) % 1.03/1.26 (define @t123 () (forall @t122 @t121)) % 1.03/1.26 (define @t124 () (=> @t30 @t123)) % 1.03/1.26 (define @t125 () (forall @t31 @t124)) % 1.03/1.26 (define @t126 () (tptp.ssItem @t28)) % 1.03/1.26 (define @t127 () (=> @t126 @t125)) % 1.03/1.26 (define @t128 () (forall @t33 @t127)) % 1.03/1.26 (define @t129 () (and @t128 @t99)) % 1.03/1.26 (define @t130 () (not (= @t2 @t12))) % 1.03/1.26 (define @t131 () (not (= @t1 @t10))) % 1.03/1.26 (define @t132 () (not @t13)) % 1.03/1.26 (define @t133 () (or @t132 @t131 @t130 @t129 @t96)) % 1.03/1.26 (define @t134 () (forall @t14 @t133)) % 1.03/1.26 (define @t135 () (=> @t15 @t134)) % 1.03/1.26 (define @t136 () (forall @t16 @t135)) % 1.03/1.26 (define @t137 () (=> @t21 @t136)) % 1.03/1.26 (define @t138 () (forall @t7 @t137)) % 1.03/1.26 (define @t139 () (=> @t17 @t138)) % 1.03/1.26 (define @t140 () (forall @t9 @t139)) % 1.03/1.26 (define @t141 () (not @t140)) % 1.03/1.26 (define @t142 () (= @t2 tptp.nil)) % 1.03/1.26 (define @t143 () (not @t142)) % 1.03/1.26 (define @t144 () (@var "BOUND_VARIABLE_11309" $$unsorted)) % 1.03/1.26 (define @t145 () (not (= tptp.nil @t144))) % 1.03/1.26 (define @t146 () (@var "BOUND_VARIABLE_11311" $$unsorted)) % 1.03/1.26 (define @t147 () (@var "BOUND_VARIABLE_11315" $$unsorted)) % 1.03/1.26 (define @t148 () (not @t104)) % 1.03/1.26 (define @t149 () (@var "BOUND_VARIABLE_11313" $$unsorted)) % 1.03/1.26 (define @t150 () (not @t111)) % 1.03/1.26 (define @t151 () (or (not (tptp.ssItem @t146)) (not (= @t2 (tptp.cons @t146 tptp.nil))) (not (tptp.ssList @t149)) (not (forall @t113 (or @t150 (not (tptp.memberP @t149 @t108)) (not (tptp.lt @t146 @t108))))) (not (tptp.ssList @t147)) (not (= @t144 (tptp.app (tptp.app @t149 @t2) @t147))) (not (forall @t106 (or @t148 (not (tptp.memberP @t147 @t100)) (not (tptp.lt @t100 @t146))))))) % 1.03/1.26 (define @t152 () (or (not (tptp.neq @t144 tptp.nil)) (and @t93 (tptp.segmentP @t144 @t2)))) % 1.03/1.26 (define @t153 () (not (tptp.ssList @t144))) % 1.03/1.26 (define @t154 () (not @t17)) % 1.03/1.26 (define @t155 () (@list @t2 @t144 @t146 @t149 @t147)) % 1.03/1.26 (define @t156 () (forall @t155 (or @t154 @t153 (and (or @t145 @t142) @t152) (and @t151 (or @t145 @t143))))) % 1.03/1.26 (define @t157 () (@quantifiers_skolemize @t156 1)) % 1.03/1.26 (define @t158 () (= tptp.nil @t157)) % 1.03/1.26 (define @t159 () (@quantifiers_skolemize @t156 0)) % 1.03/1.26 (define @t160 () (= tptp.nil @t159)) % 1.03/1.26 (define @t161 () (not @t158)) % 1.03/1.26 (define @t162 () (or @t161 @t160)) % 1.03/1.26 (define @t163 () (not @t161)) % 1.03/1.26 (define @t164 () (not @t160)) % 1.03/1.26 (define @t165 () (or @t161 @t164)) % 1.03/1.26 (define @t166 () (not (= @t144 tptp.nil))) % 1.03/1.26 (define @t167 () (or @t166 @t143)) % 1.03/1.26 (define @t168 () (and @t151 @t167)) % 1.03/1.26 (define @t169 () (or @t166 @t142)) % 1.03/1.26 (define @t170 () (and @t169 @t152)) % 1.03/1.26 (define @t171 () (or @t154 @t153 @t170 @t168)) % 1.03/1.26 (define @t172 () (or @t153 @t170 @t168)) % 1.03/1.26 (define @t173 () (or @t154 @t172)) % 1.03/1.26 (define @t174 () (forall @t155 @t173)) % 1.03/1.26 (define @t175 () (@list @t144 @t146 @t149 @t147)) % 1.03/1.26 (define @t176 () (forall @t175 @t173)) % 1.03/1.26 (define @t177 () (forall @t175 @t172)) % 1.03/1.26 (define @t178 () (@var "BOUND_VARIABLE_11271" $$unsorted)) % 1.03/1.26 (define @t179 () (@var "BOUND_VARIABLE_11269" $$unsorted)) % 1.03/1.26 (define @t180 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 1.03/1.26 (define @t181 () (or @t154 @t177)) % 1.03/1.26 (define @t182 () (= @t1 tptp.nil)) % 1.03/1.26 (define @t183 () (not @t182)) % 1.03/1.26 (define @t184 () (or @t183 @t143)) % 1.03/1.26 (define @t185 () (or (not (tptp.ssItem @t180)) (not (= @t2 (tptp.cons @t180 tptp.nil))) (not (tptp.ssList @t179)) (not (forall @t113 (or @t150 (not (tptp.memberP @t179 @t108)) (not (tptp.lt @t180 @t108))))) (not (tptp.ssList @t178)) (not (= @t1 (tptp.app (tptp.app @t179 @t2) @t178))) (not (forall @t106 (or @t148 (not (tptp.memberP @t178 @t100)) (not (tptp.lt @t100 @t180))))))) % 1.03/1.26 (define @t186 () (and @t185 @t184)) % 1.03/1.26 (define @t187 () (and (or @t183 @t142) @t94)) % 1.03/1.26 (define @t188 () (not @t21)) % 1.03/1.26 (define @t189 () (or @t188 @t187 @t186)) % 1.03/1.26 (define @t190 () (forall (@list @t1 @t180 @t179 @t178) @t189)) % 1.03/1.26 (define @t191 () (or @t154 @t190)) % 1.03/1.26 (define @t192 () (@list @t180 @t179 @t178)) % 1.03/1.26 (define @t193 () (forall @t192 @t189)) % 1.03/1.26 (define @t194 () (forall @t192 @t184)) % 1.03/1.26 (define @t195 () (forall @t192 @t185)) % 1.03/1.26 (define @t196 () (@var "BOUND_VARIABLE_11218" $$unsorted)) % 1.03/1.26 (define @t197 () (@var "BOUND_VARIABLE_11216" $$unsorted)) % 1.03/1.26 (define @t198 () (@var "BOUND_VARIABLE_11214" $$unsorted)) % 1.03/1.26 (define @t199 () (@list @t198 @t197 @t196)) % 1.03/1.26 (define @t200 () (and @t195 @t194)) % 1.03/1.26 (define @t201 () (forall @t192 @t186)) % 1.03/1.26 (define @t202 () (or @t188 @t187 @t201)) % 1.03/1.26 (define @t203 () (and (forall (@list @t198 @t197 @t196) (or (not (tptp.ssItem @t198)) (not (= @t2 (tptp.cons @t198 tptp.nil))) (not (tptp.ssList @t197)) (not (forall @t113 (or @t150 (not (tptp.memberP @t197 @t108)) (not (tptp.lt @t198 @t108))))) (not (tptp.ssList @t196)) (not (= @t1 (tptp.app (tptp.app @t197 @t2) @t196))) (not (forall @t106 (or @t148 (not (tptp.memberP @t196 @t100)) (not (tptp.lt @t100 @t198))))))) @t184)) % 1.03/1.26 (define @t204 () (or @t188 @t187 @t203)) % 1.03/1.26 (define @t205 () (forall @t7 @t204)) % 1.03/1.26 (define @t206 () (or @t154 @t205)) % 1.03/1.26 (define @t207 () (or @t154 @t204)) % 1.03/1.26 (define @t208 () (or @t188 @t187 @t154 @t203)) % 1.03/1.26 (define @t209 () (or @t187 @t188 @t154 @t203)) % 1.03/1.26 (define @t210 () (@var "BOUND_VARIABLE_11161" $$unsorted)) % 1.03/1.26 (define @t211 () (@var "BOUND_VARIABLE_11159" $$unsorted)) % 1.03/1.26 (define @t212 () (@var "BOUND_VARIABLE_11157" $$unsorted)) % 1.03/1.26 (define @t213 () (@list @t212 @t211 @t210)) % 1.03/1.26 (define @t214 () (forall @t213 @t184)) % 1.03/1.26 (define @t215 () (not (forall @t106 (or @t148 (not (tptp.memberP @t210 @t100)) (not (tptp.lt @t100 @t212)))))) % 1.03/1.26 (define @t216 () (not (tptp.ssList @t210))) % 1.03/1.26 (define @t217 () (not (forall @t113 (or @t150 (not (tptp.memberP @t211 @t108)) (not (tptp.lt @t212 @t108)))))) % 1.03/1.26 (define @t218 () (not (tptp.ssList @t211))) % 1.03/1.26 (define @t219 () (tptp.cons @t212 tptp.nil)) % 1.03/1.26 (define @t220 () (not (tptp.ssItem @t212))) % 1.03/1.26 (define @t221 () (or @t220 (not (= @t2 @t219)) @t218 @t217 @t216 (not (= @t1 (tptp.app (tptp.app @t211 @t2) @t210))) @t215)) % 1.03/1.26 (define @t222 () (forall @t213 @t221)) % 1.03/1.26 (define @t223 () (@list @t212 @t211 @t210)) % 1.03/1.26 (define @t224 () (and @t222 @t214)) % 1.03/1.26 (define @t225 () (and @t221 @t184)) % 1.03/1.26 (define @t226 () (forall @t213 @t225)) % 1.03/1.26 (define @t227 () (or @t154 @t226)) % 1.03/1.26 (define @t228 () (or @t154 @t225)) % 1.03/1.26 (define @t229 () (not (= @t2 @t2))) % 1.03/1.26 (define @t230 () (or @t154 @t229 @t225)) % 1.03/1.26 (define @t231 () (not (= @t12 tptp.nil))) % 1.03/1.26 (define @t232 () (or @t183 @t231)) % 1.03/1.26 (define @t233 () (or @t220 (not (= @t12 @t219)) @t218 @t217 @t216 (not (= @t1 (tptp.app (tptp.app @t211 @t12) @t210))) @t215)) % 1.03/1.26 (define @t234 () (and @t233 @t232)) % 1.03/1.26 (define @t235 () (not @t15)) % 1.03/1.26 (define @t236 () (or @t130 @t235 @t130 @t234)) % 1.03/1.26 (define @t237 () (or @t235 @t130 @t234)) % 1.03/1.26 (define @t238 () (forall @t16 @t237)) % 1.03/1.26 (define @t239 () (forall @t213 @t238)) % 1.03/1.26 (define @t240 () (forall (@list @t212 @t211 @t210 @t12) @t237)) % 1.03/1.26 (define @t241 () (forall (@list @t12 @t212 @t211 @t210) @t237)) % 1.03/1.26 (define @t242 () (forall @t213 @t237)) % 1.03/1.26 (define @t243 () (forall @t213 @t232)) % 1.03/1.26 (define @t244 () (forall @t213 @t233)) % 1.03/1.26 (define @t245 () (@var "BOUND_VARIABLE_11108" $$unsorted)) % 1.03/1.26 (define @t246 () (@var "BOUND_VARIABLE_11106" $$unsorted)) % 1.03/1.26 (define @t247 () (@var "BOUND_VARIABLE_11104" $$unsorted)) % 1.03/1.26 (define @t248 () (@list @t247 @t246 @t245)) % 1.03/1.26 (define @t249 () (and @t244 @t243)) % 1.03/1.26 (define @t250 () (forall @t213 @t234)) % 1.03/1.26 (define @t251 () (or @t235 @t130 @t250)) % 1.03/1.26 (define @t252 () (and (forall (@list @t247 @t246 @t245) (or (not (tptp.ssItem @t247)) (not (= @t12 (tptp.cons @t247 tptp.nil))) (not (tptp.ssList @t246)) (not (forall @t113 (or @t150 (not (tptp.memberP @t246 @t108)) (not (tptp.lt @t247 @t108))))) (not (tptp.ssList @t245)) (not (= @t1 (tptp.app (tptp.app @t246 @t12) @t245))) (not (forall @t106 (or @t148 (not (tptp.memberP @t245 @t100)) (not (tptp.lt @t100 @t247))))))) @t232)) % 1.03/1.26 (define @t253 () (or @t235 @t130 @t252)) % 1.03/1.26 (define @t254 () (forall @t16 @t253)) % 1.03/1.26 (define @t255 () (or @t187 @t188 @t254)) % 1.03/1.26 (define @t256 () (or @t187 @t188 @t253)) % 1.03/1.26 (define @t257 () (or @t235 @t130 @t187 @t188 @t252)) % 1.03/1.26 (define @t258 () (or @t130 @t187 @t188 @t252)) % 1.03/1.26 (define @t259 () (@var "BOUND_VARIABLE_11057" $$unsorted)) % 1.03/1.26 (define @t260 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 1.03/1.26 (define @t261 () (@var "BOUND_VARIABLE_11053" $$unsorted)) % 1.03/1.26 (define @t262 () (@list @t261 @t260 @t259)) % 1.03/1.26 (define @t263 () (forall @t262 @t232)) % 1.03/1.26 (define @t264 () (not (forall @t106 (or @t148 (not (tptp.memberP @t259 @t100)) (not (tptp.lt @t100 @t261)))))) % 1.03/1.26 (define @t265 () (tptp.app (tptp.app @t260 @t12) @t259)) % 1.03/1.26 (define @t266 () (not (tptp.ssList @t259))) % 1.03/1.26 (define @t267 () (not (forall @t113 (or @t150 (not (tptp.memberP @t260 @t108)) (not (tptp.lt @t261 @t108)))))) % 1.03/1.26 (define @t268 () (not (tptp.ssList @t260))) % 1.03/1.26 (define @t269 () (not (= @t12 (tptp.cons @t261 tptp.nil)))) % 1.03/1.26 (define @t270 () (not (tptp.ssItem @t261))) % 1.03/1.26 (define @t271 () (or @t270 @t269 @t268 @t267 @t266 (not (= @t1 @t265)) @t264)) % 1.03/1.26 (define @t272 () (forall @t262 @t271)) % 1.03/1.26 (define @t273 () (@list @t261 @t260 @t259)) % 1.03/1.26 (define @t274 () (and @t272 @t263)) % 1.03/1.26 (define @t275 () (and @t271 @t232)) % 1.03/1.26 (define @t276 () (forall @t262 @t275)) % 1.03/1.26 (define @t277 () (or @t188 @t276)) % 1.03/1.26 (define @t278 () (or @t188 @t275)) % 1.03/1.26 (define @t279 () (not (= @t1 @t1))) % 1.03/1.26 (define @t280 () (or @t188 @t279 @t275)) % 1.03/1.26 (define @t281 () (or (not (= @t10 tptp.nil)) @t231)) % 1.03/1.26 (define @t282 () (or @t270 @t269 @t268 @t267 @t266 (not (= @t10 @t265)) @t264)) % 1.03/1.26 (define @t283 () (and @t282 @t281)) % 1.03/1.26 (define @t284 () (or @t131 @t132 @t131 @t283)) % 1.03/1.26 (define @t285 () (or @t132 @t131 @t283)) % 1.03/1.26 (define @t286 () (forall @t14 @t285)) % 1.03/1.26 (define @t287 () (forall @t262 @t286)) % 1.03/1.26 (define @t288 () (forall (@list @t261 @t260 @t259 @t10) @t285)) % 1.03/1.26 (define @t289 () (forall (@list @t10 @t261 @t260 @t259) @t285)) % 1.03/1.26 (define @t290 () (forall @t262 @t285)) % 1.03/1.26 (define @t291 () (forall @t262 @t281)) % 1.03/1.26 (define @t292 () (forall @t262 @t282)) % 1.03/1.26 (define @t293 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 1.03/1.26 (define @t294 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 1.03/1.26 (define @t295 () (and @t292 @t291)) % 1.03/1.26 (define @t296 () (forall @t262 @t283)) % 1.03/1.26 (define @t297 () (or @t132 @t131 @t296)) % 1.03/1.26 (define @t298 () (not @t101)) % 1.03/1.26 (define @t299 () (not (forall @t106 (or @t148 (not (tptp.memberP @t293 @t100)) @t298)))) % 1.03/1.26 (define @t300 () (not (= @t10 (tptp.app (tptp.app @t294 @t12) @t293)))) % 1.03/1.26 (define @t301 () (not (tptp.ssList @t293))) % 1.03/1.26 (define @t302 () (not @t109)) % 1.03/1.26 (define @t303 () (not (forall @t113 (or @t150 (not (tptp.memberP @t294 @t108)) @t302)))) % 1.03/1.26 (define @t304 () (not (tptp.ssList @t294))) % 1.03/1.26 (define @t305 () (not (= @t12 @t118))) % 1.03/1.26 (define @t306 () (not @t126)) % 1.03/1.26 (define @t307 () (or @t306 @t305 @t304 @t303 @t301 @t300 @t299)) % 1.03/1.26 (define @t308 () (@list @t28 @t294 @t293)) % 1.03/1.26 (define @t309 () (and (forall @t308 @t307) @t281)) % 1.03/1.26 (define @t310 () (or @t132 @t131 @t309)) % 1.03/1.26 (define @t311 () (forall @t14 @t310)) % 1.03/1.26 (define @t312 () (or @t130 @t187 @t311)) % 1.03/1.26 (define @t313 () (or @t130 @t187 @t310)) % 1.03/1.26 (define @t314 () (or @t132 @t131 @t130 @t309 @t187)) % 1.03/1.26 (define @t315 () (or @t304 @t303 @t301 @t300 @t299)) % 1.03/1.26 (define @t316 () (or @t306 @t305 @t315)) % 1.03/1.26 (define @t317 () (forall @t308 @t316)) % 1.03/1.26 (define @t318 () (@list @t294 @t293)) % 1.03/1.26 (define @t319 () (forall @t318 @t316)) % 1.03/1.26 (define @t320 () (forall @t318 @t315)) % 1.03/1.26 (define @t321 () (@var "BOUND_VARIABLE_10988" $$unsorted)) % 1.03/1.26 (define @t322 () (or @t306 @t305 @t320)) % 1.03/1.26 (define @t323 () (not (forall @t106 (or @t148 (not (tptp.memberP @t321 @t100)) @t298)))) % 1.03/1.26 (define @t324 () (not (= @t10 (tptp.app @t115 @t321)))) % 1.03/1.26 (define @t325 () (not (tptp.ssList @t321))) % 1.03/1.26 (define @t326 () (not @t110)) % 1.03/1.26 (define @t327 () (or @t150 @t326 @t302)) % 1.03/1.26 (define @t328 () (not (forall @t113 @t327))) % 1.03/1.26 (define @t329 () (not @t30)) % 1.03/1.26 (define @t330 () (or @t329 @t328 @t325 @t324 @t323)) % 1.03/1.26 (define @t331 () (@list @t27 @t321)) % 1.03/1.26 (define @t332 () (forall @t331 @t330)) % 1.03/1.26 (define @t333 () (or @t306 @t305 @t332)) % 1.03/1.26 (define @t334 () (or @t305 @t332)) % 1.03/1.26 (define @t335 () (or @t325 @t324 @t323)) % 1.03/1.26 (define @t336 () (or @t329 @t328 @t335)) % 1.03/1.26 (define @t337 () (forall @t331 @t336)) % 1.03/1.26 (define @t338 () (@list @t321)) % 1.03/1.26 (define @t339 () (forall @t338 @t336)) % 1.03/1.26 (define @t340 () (forall @t338 @t335)) % 1.03/1.26 (define @t341 () (or @t329 @t328 @t340)) % 1.03/1.26 (define @t342 () (not @t103)) % 1.03/1.26 (define @t343 () (or @t148 @t342 @t298)) % 1.03/1.26 (define @t344 () (not (forall @t106 @t343))) % 1.03/1.26 (define @t345 () (not (= @t10 @t116))) % 1.03/1.26 (define @t346 () (or @t120 @t345 @t344)) % 1.03/1.26 (define @t347 () (forall @t122 @t346)) % 1.03/1.26 (define @t348 () (or @t329 @t328 @t347)) % 1.03/1.26 (define @t349 () (forall @t31 @t348)) % 1.03/1.26 (define @t350 () (or @t305 @t349)) % 1.03/1.26 (define @t351 () (or @t305 @t348)) % 1.03/1.26 (define @t352 () (or @t329 @t305 @t328 @t347)) % 1.03/1.26 (define @t353 () (or @t305 @t328 @t347)) % 1.03/1.26 (define @t354 () (or @t305 @t328 @t346)) % 1.03/1.26 (define @t355 () (or @t120 @t305 @t345 @t328 @t344)) % 1.03/1.26 (define @t356 () (forall @t106 (not @t105))) % 1.03/1.26 (define @t357 () (not @t356)) % 1.03/1.26 (define @t358 () (forall @t113 (not @t112))) % 1.03/1.26 (define @t359 () (not @t358)) % 1.03/1.26 (define @t360 () (@quantifiers_skolemize @t156 2)) % 1.03/1.26 (define @t361 () (@quantifiers_skolemize @t156 4)) % 1.03/1.26 (define @t362 () (@quantifiers_skolemize @t156 3)) % 1.03/1.26 (define @t363 () (tptp.app @t362 @t159)) % 1.03/1.26 (define @t364 () (tptp.app @t363 @t361)) % 1.03/1.26 (define @t365 () (= @t157 @t364)) % 1.03/1.26 (define @t366 () (not @t365)) % 1.03/1.26 (define @t367 () (tptp.ssList @t361)) % 1.03/1.26 (define @t368 () (not @t367)) % 1.03/1.26 (define @t369 () (tptp.ssList @t362)) % 1.03/1.26 (define @t370 () (not @t369)) % 1.03/1.26 (define @t371 () (tptp.cons @t360 tptp.nil)) % 1.03/1.26 (define @t372 () (= @t159 @t371)) % 1.03/1.26 (define @t373 () (not @t372)) % 1.03/1.26 (define @t374 () (tptp.ssItem @t360)) % 1.03/1.26 (define @t375 () (not @t374)) % 1.03/1.26 (define @t376 () (or @t375 @t373 @t370 (not (forall @t113 (or @t150 (not (tptp.memberP @t362 @t108)) (not (tptp.lt @t360 @t108))))) @t368 @t366 (not (forall @t106 (or @t148 (not (tptp.memberP @t361 @t100)) (not (tptp.lt @t100 @t360))))))) % 1.03/1.26 (define @t377 () (and @t376 @t165)) % 1.03/1.26 (define @t378 () (tptp.segmentP @t157 @t159)) % 1.03/1.26 (define @t379 () (tptp.neq @t159 tptp.nil)) % 1.03/1.26 (define @t380 () (and @t379 @t378)) % 1.03/1.26 (define @t381 () (tptp.neq @t157 tptp.nil)) % 1.03/1.26 (define @t382 () (not @t381)) % 1.03/1.26 (define @t383 () (or @t382 @t380)) % 1.03/1.26 (define @t384 () (and @t162 @t383)) % 1.03/1.26 (define @t385 () (not (tptp.ssList @t157))) % 1.03/1.26 (define @t386 () (tptp.ssList @t159)) % 1.03/1.26 (define @t387 () (not @t386)) % 1.03/1.26 (define @t388 () (or @t387 @t385 @t384 @t377)) % 1.03/1.26 (define @t389 () (not @t388)) % 1.03/1.26 (define @t390 () (not @t156)) % 1.03/1.26 (define @t391 () (= @t159 tptp.nil)) % 1.03/1.26 (define @t392 () (not @t391)) % 1.03/1.26 (define @t393 () (or @t161 @t392)) % 1.03/1.26 (define @t394 () (and @t376 @t393)) % 1.03/1.26 (define @t395 () (or @t161 @t391)) % 1.03/1.26 (define @t396 () (and @t395 @t383)) % 1.03/1.26 (define @t397 () (or @t387 @t385 @t396 @t394)) % 1.03/1.26 (define @t398 () (not @t397)) % 1.03/1.26 (define @t399 () (@list true)) % 1.03/1.26 (define @t400 () (@list @t388)) % 1.03/1.26 (define @t401 () (@var "BOUND_VARIABLE_9175" $$unsorted)) % 1.03/1.26 (define @t402 () (not (= @t2 (tptp.cons @t401 @t2)))) % 1.03/1.26 (define @t403 () (not (tptp.ssItem @t401))) % 1.03/1.26 (define @t404 () (or @t403 @t402)) % 1.03/1.26 (define @t405 () (or @t154 @t404)) % 1.03/1.26 (define @t406 () (forall (@list @t2 @t401) @t405)) % 1.03/1.26 (define @t407 () (@list @t401)) % 1.03/1.26 (define @t408 () (forall @t407 @t405)) % 1.03/1.26 (define @t409 () (forall @t407 @t404)) % 1.03/1.26 (define @t410 () (@list @t1)) % 1.03/1.26 (define @t411 () (or @t154 @t409)) % 1.03/1.26 (define @t412 () (not (= @t2 @t40))) % 1.03/1.26 (define @t413 () (forall @t7 (or (not @t6) @t412))) % 1.03/1.26 (define @t414 () (= tptp.nil @t371)) % 1.03/1.26 (define @t415 () (not @t414)) % 1.03/1.26 (define @t416 () (not @t41)) % 1.03/1.26 (define @t417 () (or @t416 @t375 @t415)) % 1.03/1.26 (define @t418 () (tptp.segmentP @t159 @t159)) % 1.03/1.26 (define @t419 () (or @t387 @t418)) % 1.03/1.26 (define @t420 () (@list false false)) % 1.03/1.26 (define @t421 () (@var "BOUND_VARIABLE_10230" $$unsorted)) % 1.03/1.26 (define @t422 () (@var "BOUND_VARIABLE_10234" $$unsorted)) % 1.03/1.26 (define @t423 () (@var "BOUND_VARIABLE_10232" $$unsorted)) % 1.03/1.26 (define @t424 () (tptp.segmentP (tptp.app (tptp.app @t423 @t2) @t422) @t421)) % 1.03/1.26 (define @t425 () (not (tptp.ssList @t422))) % 1.03/1.26 (define @t426 () (not (tptp.ssList @t423))) % 1.03/1.26 (define @t427 () (not (tptp.segmentP @t2 @t421))) % 1.03/1.26 (define @t428 () (not (tptp.ssList @t421))) % 1.03/1.26 (define @t429 () (or @t428 @t427 @t426 @t425 @t424)) % 1.03/1.26 (define @t430 () (or @t154 @t429)) % 1.03/1.26 (define @t431 () (forall (@list @t2 @t421 @t423 @t422) @t430)) % 1.03/1.26 (define @t432 () (@list @t421 @t423 @t422)) % 1.03/1.26 (define @t433 () (forall @t432 @t430)) % 1.03/1.26 (define @t434 () (forall @t432 @t429)) % 1.03/1.26 (define @t435 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 1.03/1.26 (define @t436 () (@var "BOUND_VARIABLE_10209" $$unsorted)) % 1.03/1.26 (define @t437 () (or @t154 @t434)) % 1.03/1.26 (define @t438 () (tptp.segmentP (tptp.app (tptp.app @t436 @t2) @t435) @t1)) % 1.03/1.26 (define @t439 () (not (tptp.ssList @t435))) % 1.03/1.26 (define @t440 () (not (tptp.ssList @t436))) % 1.03/1.26 (define @t441 () (not @t24)) % 1.03/1.26 (define @t442 () (or @t188 @t441 @t440 @t439 @t438)) % 1.03/1.26 (define @t443 () (@list @t1 @t436 @t435)) % 1.03/1.26 (define @t444 () (forall @t443 @t442)) % 1.03/1.26 (define @t445 () (or @t440 @t439 @t438)) % 1.03/1.26 (define @t446 () (or @t188 @t441 @t445)) % 1.03/1.26 (define @t447 () (forall @t443 @t446)) % 1.03/1.26 (define @t448 () (@list @t436 @t435)) % 1.03/1.26 (define @t449 () (forall @t448 @t446)) % 1.03/1.26 (define @t450 () (forall @t448 @t445)) % 1.03/1.26 (define @t451 () (@var "BOUND_VARIABLE_10192" $$unsorted)) % 1.03/1.26 (define @t452 () (or @t188 @t441 @t450)) % 1.03/1.26 (define @t453 () (tptp.segmentP (tptp.app @t67 @t451) @t1)) % 1.03/1.26 (define @t454 () (not (tptp.ssList @t451))) % 1.03/1.26 (define @t455 () (or @t235 @t454 @t453)) % 1.03/1.26 (define @t456 () (@list @t12 @t451)) % 1.03/1.26 (define @t457 () (forall @t456 @t455)) % 1.03/1.26 (define @t458 () (or @t188 @t441 @t457)) % 1.03/1.26 (define @t459 () (or @t441 @t457)) % 1.03/1.26 (define @t460 () (or @t454 @t453)) % 1.03/1.26 (define @t461 () (or @t235 @t460)) % 1.03/1.26 (define @t462 () (forall @t456 @t461)) % 1.03/1.26 (define @t463 () (@list @t451)) % 1.03/1.26 (define @t464 () (forall @t463 @t461)) % 1.03/1.26 (define @t465 () (forall @t463 @t460)) % 1.03/1.26 (define @t466 () (or @t235 @t465)) % 1.03/1.26 (define @t467 () (or @t132 @t71)) % 1.03/1.26 (define @t468 () (forall @t14 @t467)) % 1.03/1.26 (define @t469 () (or @t235 @t468)) % 1.03/1.26 (define @t470 () (forall @t16 @t469)) % 1.03/1.26 (define @t471 () (or @t441 @t470)) % 1.03/1.26 (define @t472 () (or @t441 @t469)) % 1.03/1.26 (define @t473 () (or @t235 @t441 @t468)) % 1.03/1.26 (define @t474 () (or @t441 @t468)) % 1.03/1.26 (define @t475 () (or @t441 @t467)) % 1.03/1.26 (define @t476 () (or @t132 @t441 @t71)) % 1.03/1.26 (define @t477 () (tptp.segmentP @t364 @t159)) % 1.03/1.26 (define @t478 () (not @t418)) % 1.03/1.26 (define @t479 () (or @t387 @t387 @t478 @t370 @t368 @t477)) % 1.03/1.26 (define @t480 () (and @t372 @t415)) % 1.03/1.26 (define @t481 () (and @t365 @t477)) % 1.03/1.26 (define @t482 () (@var "BOUND_VARIABLE_9131" $$unsorted)) % 1.03/1.26 (define @t483 () (= (tptp.neq @t2 @t482) (not (= @t2 @t482)))) % 1.03/1.26 (define @t484 () (not (tptp.ssList @t482))) % 1.03/1.26 (define @t485 () (or @t154 @t484 @t483)) % 1.03/1.26 (define @t486 () (or @t484 @t483)) % 1.03/1.26 (define @t487 () (or @t154 @t486)) % 1.03/1.26 (define @t488 () (@list @t2 @t482)) % 1.03/1.26 (define @t489 () (forall @t488 @t487)) % 1.03/1.26 (define @t490 () (@list @t482)) % 1.03/1.26 (define @t491 () (forall @t490 @t487)) % 1.03/1.26 (define @t492 () (forall @t490 @t486)) % 1.03/1.26 (define @t493 () (or @t154 @t492)) % 1.03/1.26 (define @t494 () (forall @t7 (or @t188 @t5))) % 1.03/1.26 (define @t495 () (= @t379 @t392)) % 1.03/1.26 (define @t496 () (or @t387 @t416 @t495)) % 1.03/1.26 (define @t497 () (forall @t488 @t485)) % 1.03/1.26 (define @t498 () (= @t379 @t164)) % 1.03/1.26 (define @t499 () (or @t387 @t416 @t498)) % 1.03/1.26 (define @t500 () (@list false)) % 1.03/1.26 (define @t501 () (not @t498)) % 1.03/1.26 (define @t502 () (not @t164)) % 1.03/1.26 (define @t503 () (and @t160 (= tptp.nil @t362))) % 1.03/1.26 (define @t504 () (@var "BOUND_VARIABLE_9396" $$unsorted)) % 1.03/1.26 (define @t505 () (tptp.ssList (tptp.app @t2 @t504))) % 1.03/1.26 (define @t506 () (not (tptp.ssList @t504))) % 1.03/1.26 (define @t507 () (or @t506 @t505)) % 1.03/1.26 (define @t508 () (or @t154 @t507)) % 1.03/1.26 (define @t509 () (forall (@list @t2 @t504) @t508)) % 1.03/1.26 (define @t510 () (@list @t504)) % 1.03/1.26 (define @t511 () (forall @t510 @t508)) % 1.03/1.26 (define @t512 () (forall @t510 @t507)) % 1.03/1.26 (define @t513 () (or @t154 @t512)) % 1.03/1.26 (define @t514 () (forall @t7 (or @t188 @t54))) % 1.03/1.26 (define @t515 () (@list @t362 @t159)) % 1.03/1.26 (define @t516 () (tptp.ssList @t363)) % 1.03/1.26 (define @t517 () (or @t370 @t387 @t516)) % 1.03/1.26 (define @t518 () (@var "BOUND_VARIABLE_10624" $$unsorted)) % 1.03/1.26 (define @t519 () (and (= @t518 tptp.nil) @t142)) % 1.03/1.26 (define @t520 () (= tptp.nil (tptp.app @t2 @t518))) % 1.03/1.26 (define @t521 () (= @t520 @t519)) % 1.03/1.26 (define @t522 () (not (tptp.ssList @t518))) % 1.03/1.26 (define @t523 () (or @t154 @t522 @t521)) % 1.03/1.26 (define @t524 () (or @t522 @t521)) % 1.03/1.26 (define @t525 () (or @t154 @t524)) % 1.03/1.26 (define @t526 () (@list @t2 @t518)) % 1.03/1.26 (define @t527 () (forall @t526 @t525)) % 1.03/1.26 (define @t528 () (@list @t518)) % 1.03/1.26 (define @t529 () (forall @t528 @t525)) % 1.03/1.26 (define @t530 () (forall @t528 @t524)) % 1.03/1.26 (define @t531 () (or @t154 @t530)) % 1.03/1.26 (define @t532 () (= @t87 (and @t182 @t142))) % 1.03/1.26 (define @t533 () (forall @t7 (or @t188 @t532))) % 1.03/1.26 (define @t534 () (and @t160 (= @t362 tptp.nil))) % 1.03/1.26 (define @t535 () (= tptp.nil @t363)) % 1.03/1.26 (define @t536 () (= @t535 @t534)) % 1.03/1.26 (define @t537 () (or @t370 @t387 @t536)) % 1.03/1.26 (define @t538 () (forall @t526 (or @t154 @t522 (= @t520 (and (= tptp.nil @t518) @t142))))) % 1.03/1.26 (define @t539 () (= @t535 @t503)) % 1.03/1.26 (define @t540 () (or @t370 @t387 @t539)) % 1.03/1.26 (define @t541 () (@list @t538)) % 1.03/1.26 (define @t542 () (= tptp.nil @t361)) % 1.03/1.26 (define @t543 () (and @t542 (= @t363 tptp.nil))) % 1.03/1.26 (define @t544 () (= tptp.nil @t364)) % 1.03/1.26 (define @t545 () (= @t544 @t543)) % 1.03/1.26 (define @t546 () (not @t516)) % 1.03/1.26 (define @t547 () (or @t546 @t368 @t545)) % 1.03/1.26 (define @t548 () (and @t542 @t535)) % 1.03/1.26 (define @t549 () (= @t544 @t548)) % 1.03/1.26 (define @t550 () (or @t546 @t368 @t549)) % 1.03/1.26 (define @t551 () (and @t158 @t365)) % 1.03/1.26 (define @t552 () (not @t379)) % 1.03/1.26 (define @t553 () (and @t158 @t160 @t552)) % 1.03/1.26 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.03/1.26 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.03/1.26 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 1.03/1.26 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.03/1.26 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.03/1.26 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.03/1.26 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 1.03/1.26 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 1.03/1.26 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 1.03/1.26 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 1.03/1.26 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 1.03/1.26 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 1.03/1.26 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 1.03/1.26 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 1.03/1.26 (assume @p15 @t39) % 1.03/1.26 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 1.03/1.26 (assume @p17 @t41) % 1.03/1.26 (assume @p18 @t46) % 1.03/1.26 (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) @t47))))))))))) % 1.03/1.26 (assume @p20 (forall @t9 (=> @t17 (or @t49 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t48 @t2))))))))) % 1.03/1.26 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 1.03/1.26 (assume @p22 (forall @t9 (=> @t17 (=> @t51 (tptp.ssItem @t50))))) % 1.03/1.26 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 1.03/1.26 (assume @p24 (forall @t9 (=> @t17 (=> @t51 (tptp.ssList @t52))))) % 1.03/1.26 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 1.03/1.26 (assume @p26 @t57) % 1.03/1.26 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t58) (tptp.app @t48 @t2))))))))) % 1.03/1.26 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.03/1.26 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t60 @t59) @t3)))))) % 1.03/1.26 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 @t26) (tptp.leq @t2 @t12))))))))) % 1.03/1.26 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.03/1.26 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 @t59)))))) % 1.03/1.26 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t63 (not @t62))))))) % 1.03/1.26 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t63 @t35) @t64)))))))) % 1.03/1.26 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 @t62)))))) % 1.03/1.26 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t66))))))))) % 1.03/1.26 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t66))))))))) % 1.03/1.26 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.03/1.26 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.03/1.26 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.03/1.26 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.03/1.26 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.03/1.26 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.03/1.26 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 1.03/1.26 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.03/1.26 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t49)))) % 1.03/1.26 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.03/1.26 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.03/1.26 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.03/1.26 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t67 @t1))))))))) % 1.03/1.26 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.03/1.26 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t49)))) % 1.03/1.26 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.03/1.26 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 @t68) @t3)))))) % 1.03/1.26 (assume @p55 @t70) % 1.03/1.26 (assume @p56 @t79) % 1.03/1.26 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.03/1.26 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t49)))) % 1.03/1.26 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t80)))) % 1.03/1.26 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.03/1.26 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t80)))) % 1.03/1.26 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.03/1.26 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t80)))) % 1.03/1.26 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.03/1.26 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t80)))) % 1.03/1.26 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.03/1.26 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t84) (or @t82 (and @t83 (tptp.totalorderedP @t1) (tptp.leq @t2 @t81))))))))) % 1.03/1.26 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t80)))) % 1.03/1.26 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.03/1.26 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t84) (or @t82 (and @t83 (tptp.strictorderedP @t1) (tptp.lt @t2 @t81))))))))) % 1.03/1.26 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t80)))) % 1.03/1.26 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.03/1.26 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t80)))) % 1.03/1.26 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.03/1.26 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t50 @t1))))))) % 1.03/1.26 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t52 @t1))))))) % 1.03/1.26 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t83 @t51 (= @t81 @t50) (= (tptp.tl @t1) @t52)) @t47)))))) % 1.03/1.26 (assume @p78 (forall @t9 (=> @t17 (=> @t51 (= (tptp.cons @t50 @t52) @t2))))) % 1.03/1.26 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t53) @t85)))))))) % 1.03/1.26 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t58) @t85)))))))) % 1.03/1.26 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 1.03/1.26 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t53 @t12) (tptp.app @t2 @t19))))))))) % 1.03/1.26 (assume @p83 @t92) % 1.03/1.26 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.03/1.26 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t53) @t50))))))) % 1.03/1.26 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t53) (tptp.app @t52 @t1)))))))) % 1.03/1.26 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 (tptp.geq @t1 @t2)) @t3)))))) % 1.03/1.26 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t61 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.03/1.26 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.03/1.26 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.03/1.26 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 @t35) @t64)))))))) % 1.03/1.26 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (or @t3 @t63))))))) % 1.03/1.26 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 (and @t4 @t60))))))) % 1.03/1.26 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (not (tptp.gt @t1 @t2)))))))) % 1.03/1.26 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t65 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.03/1.26 (assume @p96 @t141) % 1.03/1.26 (assume @p97 true) % 1.03/1.26 (step @p98 :rule bool-double-not-elim :args (@t158)) % 1.03/1.26 (step @p99 :rule refl :args (@t162)) % 1.03/1.26 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t162 @t163))) % 1.03/1.26 (step @p101 :rule cnf_or_neg :args (@t162 0)) % 1.03/1.26 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 1.03/1.26 (step @p103 :rule reordering :premises (@p102) :args ((or @t158 @t162))) % 1.03/1.26 (step @p104 :rule refl :args (@t165)) % 1.03/1.26 (step @p105 :rule nary_cong :premises (@p104 @p98) :args ((or @t165 @t163))) % 1.03/1.26 (step @p106 :rule cnf_or_neg :args (@t165 0)) % 1.03/1.26 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 1.03/1.26 (step @p108 :rule reordering :premises (@p107) :args 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(step @p780 :rule trans :premises (@p860 @p861)) % 1.03/1.26 (step-pop @p864 :rule scope :premises (@p780)) % 1.03/1.26 (step-pop @p865 :rule scope :premises (@p864)) % 1.03/1.26 (step @p781 :rule process_scope :premises (@p865) :args (@t544)) % 1.03/1.26 (step @p784 :rule and_intro :premises (@p861 @p860)) % 1.03/1.26 (step @p785 :rule modus_ponens :premises (@p784 @p781)) % 1.03/1.26 (step-pop @p866 :rule scope :premises (@p785)) % 1.03/1.26 (step-pop @p867 :rule scope :premises (@p866)) % 1.03/1.26 (step @p786 :rule process_scope :premises (@p867) :args (@t544)) % 1.03/1.26 (step @p789 :rule implies_elim :premises (@p786)) % 1.03/1.26 (step @p790 :rule cnf_and_neg :args (@t551)) % 1.03/1.26 (step @p791 :rule resolution :premises (@p790 @p789) :args (true @t551)) % 1.03/1.26 (step @p792 :rule chain_m_resolution :premises (@p791 @p671 @p775 @p773 @p771 @p769 @p767 @p751 @p749 @p493 @p700 @p698 @p493 @p457 @p452 @p447 @p431 @p430 @p677 @p675) :args (@t160 (@list false true true true false false false false false false false false false false false true true true false) (@list @t158 @t544 @t548 @t535 @t549 @t550 @t539 @t540 @t386 @t516 @t517 @t386 @t365 @t367 @t369 @t376 @t377 @t503 @t165))) % 1.03/1.26 (step @p793 :rule cnf_equiv_pos1 :args (@t498)) % 1.03/1.26 (step @p794 :rule reordering :premises (@p793) :args ((or @t164 @t552 @t501))) % 1.03/1.26 (step @p795 :rule chain_m_resolution :premises (@p794 @p792 @p663) :args (@t552 @t420 (@list @t160 @t498))) % 1.03/1.26 (step @p796 :rule cnf_or_neg :args (@t162 1)) % 1.03/1.26 (step @p797 :rule chain_m_resolution :premises (@p796 @p792) :args (@t162 @t500 (@list @t160))) % 1.03/1.26 (step @p798 :rule chain_m_resolution :premises (@p428 @p427 @p797) :args ((not @t383) (@list true false) (@list @t384 @t162))) % 1.03/1.26 (step @p799 :rule bool-double-not-elim :args (@t381)) % 1.03/1.26 (step @p800 :rule nary_cong :premises (@p409 @p799) :args ((or @t383 (not @t382)))) % 1.03/1.26 (step @p801 :rule cnf_or_neg :args (@t383 0)) % 1.03/1.26 (step @p802 :rule eq_resolve :premises (@p801 @p800)) % 1.03/1.26 (step @p803 :rule reordering :premises (@p802) :args ((or @t381 @t383))) % 1.03/1.26 (step @p804 :rule chain_m_resolution :premises (@p803 @p798) :args (@t381 @t399 (@list @t383))) % 1.03/1.26 (step @p805 :rule refl :args (@t382)) % 1.03/1.26 (step @p806 :rule bool-double-not-elim :args (@t379)) % 1.03/1.26 (step @p807 :rule nary_cong :premises (@p405 @p581 @p806 @p805) :args ((or @t161 @t164 (not @t552) @t382))) % 1.03/1.26 (assume-push @p868 @t158) % 1.03/1.26 (assume-push @p869 @t160) % 1.03/1.26 (assume-push @p870 @t552) % 1.03/1.26 (assume-push @p871 @t552) % 1.03/1.26 (assume-push @p872 @t160) % 1.03/1.26 (assume-push @p873 @t158) % 1.03/1.26 (step @p814 :rule false_intro :premises (@p870)) % 1.03/1.26 (step @p590 :rule refl :args (tptp.nil)) % 1.03/1.26 (step @p815 :rule symm :premises (@p868)) % 1.03/1.26 (step @p816 :rule trans :premises (@p815 @p869)) % 1.03/1.26 (step @p817 :rule cong :premises (@p816 @p590) :args (@t381)) % 1.03/1.26 (step @p818 :rule trans :premises (@p817 @p814)) % 1.03/1.26 (step @p819 :rule false_elim :premises (@p818)) % 1.03/1.26 (step-pop @p874 :rule scope :premises (@p819)) % 1.03/1.26 (step-pop @p875 :rule scope :premises (@p874)) % 1.03/1.26 (step-pop @p876 :rule scope :premises (@p875)) % 1.03/1.26 (step @p820 :rule process_scope :premises (@p876) :args (@t382)) % 1.03/1.26 (step @p824 :rule and_intro :premises (@p870 @p869 @p868)) % 1.03/1.26 (step @p825 :rule modus_ponens :premises (@p824 @p820)) % 1.03/1.26 (step-pop @p877 :rule scope :premises (@p825)) % 1.03/1.26 (step-pop @p878 :rule scope :premises (@p877)) % 1.03/1.26 (step-pop @p879 :rule scope :premises (@p878)) % 1.03/1.26 (step @p826 :rule process_scope :premises (@p879) :args (@t382)) % 1.03/1.26 (step @p830 :rule implies_elim :premises (@p826)) % 1.03/1.26 (step @p831 :rule cnf_and_neg :args (@t553)) % 1.03/1.26 (step @p832 :rule resolution :premises (@p831 @p830) :args (true @t553)) % 1.03/1.26 (step @p833 :rule eq_resolve :premises (@p832 @p807)) % 1.03/1.26 (step @p834 :rule reordering :premises (@p833) :args ((or @t161 @t382 @t379 @t164))) % 1.03/1.26 (step @p835 false :rule chain_m_resolution :premises (@p834 @p804 @p795 @p792 @p671) :args (false (@list false true false false) (@list @t381 @t379 @t160 @t158))) % 1.03/1.26 ) % 1.03/1.26 % SZS output end Proof % 1.03/1.27 % cvc5 exiting %------------------------------------------------------------------------------