%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC412+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 : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:13 AM UTC 2026 % Result : Theorem 1.43s 1.64s % Output : Proof 1.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC412+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 % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:47:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 1.43/1.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.43/1.64 % SZS status Theorem % 1.43/1.64 % SZS output start Proof % 1.43/1.64 ( % 1.43/1.64 (declare-sort $$unsorted 0) % 1.43/1.64 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.43/1.64 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.43/1.64 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.64 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.64 (declare-const tptp.nil $$unsorted) % 1.43/1.64 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.43/1.64 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.43/1.64 (define @t1 () (@var "V" $$unsorted)) % 1.43/1.64 (define @t2 () (@var "U" $$unsorted)) % 1.43/1.64 (define @t3 () (= @t2 @t1)) % 1.43/1.64 (define @t4 () (not @t3)) % 1.43/1.64 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.43/1.64 (define @t6 () (tptp.ssItem @t1)) % 1.43/1.64 (define @t7 () (@list @t1)) % 1.43/1.64 (define @t8 () (tptp.ssItem @t2)) % 1.43/1.64 (define @t9 () (@list @t2)) % 1.43/1.64 (define @t10 () (@var "X" $$unsorted)) % 1.43/1.64 (define @t11 () (tptp.cons @t1 @t10)) % 1.43/1.64 (define @t12 () (@var "W" $$unsorted)) % 1.43/1.64 (define @t13 () (tptp.ssList @t10)) % 1.43/1.64 (define @t14 () (@list @t10)) % 1.43/1.64 (define @t15 () (tptp.ssList @t12)) % 1.43/1.64 (define @t16 () (@list @t12)) % 1.43/1.64 (define @t17 () (tptp.ssList @t2)) % 1.43/1.64 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.43/1.64 (define @t19 () (tptp.app @t1 @t12)) % 1.43/1.64 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.43/1.64 (define @t21 () (tptp.ssList @t1)) % 1.43/1.64 (define @t22 () (tptp.app @t12 @t1)) % 1.43/1.64 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.43/1.64 (define @t24 () (tptp.segmentP @t2 @t1)) % 1.43/1.64 (define @t25 () (tptp.leq @t12 @t1)) % 1.43/1.64 (define @t26 () (tptp.leq @t1 @t12)) % 1.43/1.64 (define @t27 () (@var "Z" $$unsorted)) % 1.43/1.64 (define @t28 () (@var "Y" $$unsorted)) % 1.43/1.64 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 1.43/1.64 (define @t30 () (tptp.ssList @t27)) % 1.43/1.64 (define @t31 () (@list @t27)) % 1.43/1.64 (define @t32 () (tptp.ssList @t28)) % 1.43/1.64 (define @t33 () (@list @t28)) % 1.43/1.64 (define @t34 () (tptp.ssItem @t12)) % 1.43/1.64 (define @t35 () (tptp.lt @t1 @t12)) % 1.43/1.64 (define @t36 () (= @t1 @t12)) % 1.43/1.64 (define @t37 () (tptp.cons @t1 @t2)) % 1.43/1.64 (define @t38 () (= @t1 @t2)) % 1.43/1.64 (define @t39 () (tptp.cons @t12 @t1)) % 1.43/1.64 (define @t40 () (= tptp.nil @t2)) % 1.43/1.64 (define @t41 () (tptp.hd @t2)) % 1.43/1.64 (define @t42 () (not @t40)) % 1.43/1.64 (define @t43 () (tptp.tl @t2)) % 1.43/1.64 (define @t44 () (tptp.app @t2 @t1)) % 1.43/1.64 (define @t45 () (tptp.app @t1 @t2)) % 1.43/1.64 (define @t46 () (tptp.leq @t1 @t2)) % 1.43/1.64 (define @t47 () (tptp.leq @t2 @t1)) % 1.43/1.64 (define @t48 () (tptp.geq @t2 @t1)) % 1.43/1.64 (define @t49 () (tptp.lt @t1 @t2)) % 1.43/1.64 (define @t50 () (tptp.lt @t2 @t1)) % 1.43/1.64 (define @t51 () (tptp.lt @t2 @t12)) % 1.43/1.64 (define @t52 () (tptp.gt @t2 @t1)) % 1.43/1.64 (define @t53 () (tptp.memberP @t12 @t2)) % 1.43/1.64 (define @t54 () (tptp.app @t12 @t2)) % 1.43/1.64 (define @t55 () (tptp.cons @t2 tptp.nil)) % 1.43/1.64 (define @t56 () (tptp.hd @t1)) % 1.43/1.64 (define @t57 () (= tptp.nil @t1)) % 1.43/1.64 (define @t58 () (not @t57)) % 1.43/1.64 (define @t59 () (tptp.cons @t2 @t1)) % 1.43/1.64 (define @t60 () (= @t12 @t2)) % 1.43/1.64 (define @t61 () (@var "X11" $$unsorted)) % 1.43/1.64 (define @t62 () (tptp.cons @t61 tptp.nil)) % 1.43/1.64 (define @t63 () (@var "X13" $$unsorted)) % 1.43/1.64 (define @t64 () (@var "X12" $$unsorted)) % 1.43/1.64 (define @t65 () (tptp.cons @t64 tptp.nil)) % 1.43/1.64 (define @t66 () (tptp.app (tptp.app @t65 @t63) @t62)) % 1.43/1.64 (define @t67 () (tptp.app (tptp.app @t62 @t63) @t65)) % 1.43/1.64 (define @t68 () (not (= @t67 @t1))) % 1.43/1.64 (define @t69 () (not (tptp.ssList @t63))) % 1.43/1.64 (define @t70 () (or @t69 @t68 (= @t66 @t2))) % 1.43/1.64 (define @t71 () (@list @t63)) % 1.43/1.64 (define @t72 () (forall @t71 @t70)) % 1.43/1.64 (define @t73 () (tptp.ssItem @t64)) % 1.43/1.64 (define @t74 () (=> @t73 @t72)) % 1.43/1.64 (define @t75 () (@list @t64)) % 1.43/1.64 (define @t76 () (forall @t75 @t74)) % 1.43/1.64 (define @t77 () (tptp.ssItem @t61)) % 1.43/1.64 (define @t78 () (=> @t77 @t76)) % 1.43/1.64 (define @t79 () (@list @t61)) % 1.43/1.64 (define @t80 () (forall @t79 @t78)) % 1.43/1.64 (define @t81 () (@var "X10" $$unsorted)) % 1.43/1.64 (define @t82 () (@var "X9" $$unsorted)) % 1.43/1.64 (define @t83 () (@var "X8" $$unsorted)) % 1.43/1.64 (define @t84 () (tptp.cons @t83 tptp.nil)) % 1.43/1.64 (define @t85 () (tptp.app @t84 (tptp.cons @t82 tptp.nil))) % 1.43/1.64 (define @t86 () (tptp.app @t85 @t81)) % 1.43/1.64 (define @t87 () (not (= @t86 @t1))) % 1.43/1.64 (define @t88 () (tptp.ssList @t81)) % 1.43/1.64 (define @t89 () (=> @t88 @t87)) % 1.43/1.64 (define @t90 () (@list @t81)) % 1.43/1.64 (define @t91 () (forall @t90 @t89)) % 1.43/1.64 (define @t92 () (tptp.ssItem @t82)) % 1.43/1.64 (define @t93 () (=> @t92 @t91)) % 1.43/1.64 (define @t94 () (@list @t82)) % 1.43/1.64 (define @t95 () (forall @t94 @t93)) % 1.43/1.64 (define @t96 () (tptp.ssItem @t83)) % 1.43/1.64 (define @t97 () (=> @t96 @t95)) % 1.43/1.64 (define @t98 () (@list @t83)) % 1.43/1.64 (define @t99 () (forall @t98 @t97)) % 1.43/1.64 (define @t100 () (@var "X6" $$unsorted)) % 1.43/1.64 (define @t101 () (tptp.cons @t100 tptp.nil)) % 1.43/1.64 (define @t102 () (@var "X7" $$unsorted)) % 1.43/1.64 (define @t103 () (@var "X5" $$unsorted)) % 1.43/1.64 (define @t104 () (tptp.cons @t103 tptp.nil)) % 1.43/1.64 (define @t105 () (tptp.app (tptp.app @t104 @t102) @t101)) % 1.43/1.64 (define @t106 () (tptp.app (tptp.app @t101 @t102) @t104)) % 1.43/1.64 (define @t107 () (not (= @t106 @t12))) % 1.43/1.64 (define @t108 () (tptp.ssList @t102)) % 1.43/1.64 (define @t109 () (and @t108 @t107 (= @t105 @t10))) % 1.43/1.64 (define @t110 () (@list @t102)) % 1.43/1.64 (define @t111 () (exists @t110 @t109)) % 1.43/1.64 (define @t112 () (tptp.ssItem @t100)) % 1.43/1.64 (define @t113 () (and @t112 @t111)) % 1.43/1.64 (define @t114 () (@list @t100)) % 1.43/1.64 (define @t115 () (exists @t114 @t113)) % 1.43/1.64 (define @t116 () (tptp.ssItem @t103)) % 1.43/1.64 (define @t117 () (and @t116 @t115)) % 1.43/1.64 (define @t118 () (@list @t103)) % 1.43/1.64 (define @t119 () (exists @t118 @t117)) % 1.43/1.64 (define @t120 () (or @t119 @t99 @t80)) % 1.43/1.64 (define @t121 () (@var "X4" $$unsorted)) % 1.43/1.64 (define @t122 () (@var "X3" $$unsorted)) % 1.43/1.64 (define @t123 () (@var "X2" $$unsorted)) % 1.43/1.64 (define @t124 () (tptp.cons @t123 tptp.nil)) % 1.43/1.64 (define @t125 () (tptp.app @t124 (tptp.cons @t122 tptp.nil))) % 1.43/1.64 (define @t126 () (tptp.app @t125 @t121)) % 1.43/1.64 (define @t127 () (not (= @t126 @t1))) % 1.43/1.64 (define @t128 () (tptp.ssList @t121)) % 1.43/1.64 (define @t129 () (=> @t128 @t127)) % 1.43/1.64 (define @t130 () (@list @t121)) % 1.43/1.64 (define @t131 () (forall @t130 @t129)) % 1.43/1.64 (define @t132 () (tptp.ssItem @t122)) % 1.43/1.64 (define @t133 () (=> @t132 @t131)) % 1.43/1.64 (define @t134 () (@list @t122)) % 1.43/1.64 (define @t135 () (forall @t134 @t133)) % 1.43/1.64 (define @t136 () (tptp.ssItem @t123)) % 1.43/1.64 (define @t137 () (=> @t136 @t135)) % 1.43/1.64 (define @t138 () (@list @t123)) % 1.43/1.64 (define @t139 () (forall @t138 @t137)) % 1.43/1.64 (define @t140 () (@var "X1" $$unsorted)) % 1.43/1.64 (define @t141 () (tptp.cons @t28 tptp.nil)) % 1.43/1.64 (define @t142 () (tptp.app @t141 (tptp.cons @t27 tptp.nil))) % 1.43/1.64 (define @t143 () (tptp.app @t142 @t140)) % 1.43/1.64 (define @t144 () (tptp.ssList @t140)) % 1.43/1.64 (define @t145 () (and @t144 (= @t143 @t10))) % 1.43/1.64 (define @t146 () (@list @t140)) % 1.43/1.64 (define @t147 () (exists @t146 @t145)) % 1.43/1.64 (define @t148 () (tptp.ssItem @t27)) % 1.43/1.64 (define @t149 () (and @t148 @t147)) % 1.43/1.64 (define @t150 () (exists @t31 @t149)) % 1.43/1.64 (define @t151 () (tptp.ssItem @t28)) % 1.43/1.64 (define @t152 () (and @t151 @t150)) % 1.43/1.64 (define @t153 () (exists @t33 @t152)) % 1.43/1.64 (define @t154 () (or @t153 @t139)) % 1.43/1.64 (define @t155 () (and @t154 @t120)) % 1.43/1.64 (define @t156 () (not (= @t2 @t12))) % 1.43/1.64 (define @t157 () (not (= @t1 @t10))) % 1.43/1.64 (define @t158 () (not @t13)) % 1.43/1.64 (define @t159 () (or @t158 @t157 @t156 @t155)) % 1.43/1.64 (define @t160 () (forall @t14 @t159)) % 1.43/1.64 (define @t161 () (=> @t15 @t160)) % 1.43/1.64 (define @t162 () (forall @t16 @t161)) % 1.43/1.64 (define @t163 () (=> @t21 @t162)) % 1.43/1.64 (define @t164 () (forall @t7 @t163)) % 1.43/1.64 (define @t165 () (=> @t17 @t164)) % 1.43/1.64 (define @t166 () (forall @t9 @t165)) % 1.43/1.64 (define @t167 () (not @t166)) % 1.43/1.64 (define @t168 () (@var "BOUND_VARIABLE_11785" $$unsorted)) % 1.43/1.64 (define @t169 () (tptp.cons @t168 tptp.nil)) % 1.43/1.64 (define @t170 () (@var "BOUND_VARIABLE_11789" $$unsorted)) % 1.43/1.64 (define @t171 () (@var "BOUND_VARIABLE_11787" $$unsorted)) % 1.43/1.64 (define @t172 () (tptp.cons @t171 tptp.nil)) % 1.43/1.64 (define @t173 () (= @t2 (tptp.app (tptp.app @t172 @t170) @t169))) % 1.43/1.64 (define @t174 () (@var "BOUND_VARIABLE_11771" $$unsorted)) % 1.43/1.64 (define @t175 () (not (= @t174 (tptp.app (tptp.app @t169 @t170) @t172)))) % 1.43/1.64 (define @t176 () (not (tptp.ssList @t170))) % 1.43/1.64 (define @t177 () (not (tptp.ssItem @t171))) % 1.43/1.64 (define @t178 () (not (tptp.ssItem @t168))) % 1.43/1.64 (define @t179 () (@var "BOUND_VARIABLE_11783" $$unsorted)) % 1.43/1.64 (define @t180 () (@var "BOUND_VARIABLE_11781" $$unsorted)) % 1.43/1.64 (define @t181 () (@var "BOUND_VARIABLE_11779" $$unsorted)) % 1.43/1.64 (define @t182 () (not (= @t174 (tptp.app (tptp.app (tptp.cons @t181 tptp.nil) (tptp.cons @t180 tptp.nil)) @t179)))) % 1.43/1.64 (define @t183 () (not (tptp.ssList @t179))) % 1.43/1.64 (define @t184 () (not (tptp.ssItem @t180))) % 1.43/1.64 (define @t185 () (not (tptp.ssItem @t181))) % 1.43/1.64 (define @t186 () (@var "BOUND_VARIABLE_11177" $$unsorted)) % 1.43/1.64 (define @t187 () (tptp.cons @t186 tptp.nil)) % 1.43/1.64 (define @t188 () (@var "BOUND_VARIABLE_11179" $$unsorted)) % 1.43/1.64 (define @t189 () (tptp.app (tptp.app @t104 @t188) @t187)) % 1.43/1.64 (define @t190 () (tptp.app (tptp.app @t187 @t188) @t104)) % 1.43/1.64 (define @t191 () (= @t2 @t190)) % 1.43/1.64 (define @t192 () (not (tptp.ssList @t188))) % 1.43/1.64 (define @t193 () (not (tptp.ssItem @t186))) % 1.43/1.64 (define @t194 () (not @t116)) % 1.43/1.64 (define @t195 () (@list @t103 @t186 @t188)) % 1.43/1.64 (define @t196 () (@var "BOUND_VARIABLE_11777" $$unsorted)) % 1.43/1.64 (define @t197 () (@var "BOUND_VARIABLE_11775" $$unsorted)) % 1.43/1.64 (define @t198 () (@var "BOUND_VARIABLE_11773" $$unsorted)) % 1.43/1.64 (define @t199 () (not (= @t174 (tptp.app (tptp.app (tptp.cons @t198 tptp.nil) (tptp.cons @t197 tptp.nil)) @t196)))) % 1.43/1.64 (define @t200 () (not (tptp.ssList @t196))) % 1.43/1.64 (define @t201 () (not (tptp.ssItem @t197))) % 1.43/1.64 (define @t202 () (not (tptp.ssItem @t198))) % 1.43/1.64 (define @t203 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 1.43/1.64 (define @t204 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 1.43/1.64 (define @t205 () (tptp.app (tptp.app @t141 (tptp.cons @t204 tptp.nil)) @t203)) % 1.43/1.64 (define @t206 () (not (tptp.ssList @t203))) % 1.43/1.64 (define @t207 () (not (tptp.ssItem @t204))) % 1.43/1.64 (define @t208 () (not @t151)) % 1.43/1.64 (define @t209 () (@list @t28 @t204 @t203)) % 1.43/1.64 (define @t210 () (not (tptp.ssList @t174))) % 1.43/1.64 (define @t211 () (not @t17)) % 1.43/1.64 (define @t212 () (@list @t2 @t174 @t198 @t197 @t196 @t181 @t180 @t179 @t168 @t171 @t170)) % 1.43/1.64 (define @t213 () (forall @t212 (or @t211 @t210 (and (or (not (forall @t209 (or @t208 @t207 @t206 (not (= @t205 @t174))))) @t202 @t201 @t200 @t199) (or (not (forall @t195 (or @t194 @t193 @t192 @t191 (not (= @t189 @t174))))) @t185 @t184 @t183 @t182 @t178 @t177 @t176 @t175 @t173))))) % 1.43/1.64 (define @t214 () (@quantifiers_skolemize @t213 1)) % 1.43/1.64 (define @t215 () (not (= @t189 @t214))) % 1.43/1.64 (define @t216 () (@quantifiers_skolemize @t213 0)) % 1.43/1.64 (define @t217 () (forall @t195 (or @t194 @t193 @t192 (= @t190 @t216) @t215))) % 1.43/1.64 (define @t218 () (@quantifiers_skolemize @t213 8)) % 1.43/1.64 (define @t219 () (tptp.cons @t218 tptp.nil)) % 1.43/1.64 (define @t220 () (@quantifiers_skolemize @t213 10)) % 1.43/1.64 (define @t221 () (@quantifiers_skolemize @t213 9)) % 1.43/1.64 (define @t222 () (tptp.cons @t221 tptp.nil)) % 1.43/1.64 (define @t223 () (tptp.app (tptp.app @t222 @t220) @t219)) % 1.43/1.64 (define @t224 () (= @t216 @t223)) % 1.43/1.64 (define @t225 () (tptp.app (tptp.app @t219 @t220) @t222)) % 1.43/1.64 (define @t226 () (= @t214 @t225)) % 1.43/1.64 (define @t227 () (not @t226)) % 1.43/1.64 (define @t228 () (tptp.ssList @t220)) % 1.43/1.64 (define @t229 () (not @t228)) % 1.43/1.64 (define @t230 () (tptp.ssItem @t221)) % 1.43/1.64 (define @t231 () (not @t230)) % 1.43/1.64 (define @t232 () (tptp.ssItem @t218)) % 1.43/1.64 (define @t233 () (not @t232)) % 1.43/1.64 (define @t234 () (@quantifiers_skolemize @t213 7)) % 1.43/1.64 (define @t235 () (@quantifiers_skolemize @t213 6)) % 1.43/1.64 (define @t236 () (@quantifiers_skolemize @t213 5)) % 1.43/1.64 (define @t237 () (not (= @t214 (tptp.app (tptp.app (tptp.cons @t236 tptp.nil) (tptp.cons @t235 tptp.nil)) @t234)))) % 1.43/1.64 (define @t238 () (not (tptp.ssList @t234))) % 1.43/1.64 (define @t239 () (not (tptp.ssItem @t235))) % 1.43/1.64 (define @t240 () (not (tptp.ssItem @t236))) % 1.43/1.64 (define @t241 () (not @t217)) % 1.43/1.64 (define @t242 () (or @t241 @t240 @t239 @t238 @t237 @t233 @t231 @t229 @t227 @t224)) % 1.43/1.64 (define @t243 () (not (= @t225 @t214))) % 1.43/1.64 (define @t244 () (or @t233 @t231 @t229 (= @t223 @t216) @t243)) % 1.43/1.64 (define @t245 () (or @t233 @t231 @t229 @t224 @t227)) % 1.43/1.64 (define @t246 () (not (= @t174 @t189))) % 1.43/1.64 (define @t247 () (or @t194 @t193 @t192 @t191 @t246)) % 1.43/1.64 (define @t248 () (forall @t195 @t247)) % 1.43/1.64 (define @t249 () (not @t248)) % 1.43/1.64 (define @t250 () (or @t249 @t185 @t184 @t183 @t182 @t178 @t177 @t176 @t175 @t173)) % 1.43/1.64 (define @t251 () (not (= @t174 @t205))) % 1.43/1.64 (define @t252 () (or @t208 @t207 @t206 @t251)) % 1.43/1.64 (define @t253 () (forall @t209 @t252)) % 1.43/1.64 (define @t254 () (not @t253)) % 1.43/1.64 (define @t255 () (or @t254 @t202 @t201 @t200 @t199)) % 1.43/1.64 (define @t256 () (and @t255 @t250)) % 1.43/1.64 (define @t257 () (or @t211 @t210 @t256)) % 1.43/1.64 (define @t258 () (or @t210 @t256)) % 1.43/1.64 (define @t259 () (or @t211 @t258)) % 1.43/1.64 (define @t260 () (forall @t212 @t259)) % 1.43/1.64 (define @t261 () (@list @t174 @t198 @t197 @t196 @t181 @t180 @t179 @t168 @t171 @t170)) % 1.43/1.64 (define @t262 () (forall @t261 @t259)) % 1.43/1.64 (define @t263 () (forall @t261 @t258)) % 1.43/1.64 (define @t264 () (@var "BOUND_VARIABLE_11739" $$unsorted)) % 1.43/1.64 (define @t265 () (@var "BOUND_VARIABLE_11737" $$unsorted)) % 1.43/1.64 (define @t266 () (@var "BOUND_VARIABLE_11735" $$unsorted)) % 1.43/1.64 (define @t267 () (@var "BOUND_VARIABLE_11720" $$unsorted)) % 1.43/1.64 (define @t268 () (@var "BOUND_VARIABLE_11718" $$unsorted)) % 1.43/1.64 (define @t269 () (@var "BOUND_VARIABLE_11716" $$unsorted)) % 1.43/1.64 (define @t270 () (@var "BOUND_VARIABLE_11700" $$unsorted)) % 1.43/1.64 (define @t271 () (@var "BOUND_VARIABLE_11698" $$unsorted)) % 1.43/1.64 (define @t272 () (@var "BOUND_VARIABLE_11696" $$unsorted)) % 1.43/1.64 (define @t273 () (or @t211 @t263)) % 1.43/1.64 (define @t274 () (tptp.cons @t266 tptp.nil)) % 1.43/1.64 (define @t275 () (tptp.cons @t265 tptp.nil)) % 1.43/1.64 (define @t276 () (= @t2 (tptp.app (tptp.app @t275 @t264) @t274))) % 1.43/1.64 (define @t277 () (not (= @t1 (tptp.app (tptp.app @t274 @t264) @t275)))) % 1.43/1.64 (define @t278 () (not (tptp.ssList @t264))) % 1.43/1.64 (define @t279 () (not (tptp.ssItem @t265))) % 1.43/1.64 (define @t280 () (not (tptp.ssItem @t266))) % 1.43/1.64 (define @t281 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t269 tptp.nil) (tptp.cons @t268 tptp.nil)) @t267)))) % 1.43/1.64 (define @t282 () (not (tptp.ssList @t267))) % 1.43/1.64 (define @t283 () (not (tptp.ssItem @t268))) % 1.43/1.64 (define @t284 () (not (tptp.ssItem @t269))) % 1.43/1.64 (define @t285 () (not (= @t1 @t189))) % 1.43/1.64 (define @t286 () (not (forall @t195 (or @t194 @t193 @t192 @t191 @t285)))) % 1.43/1.64 (define @t287 () (or @t286 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t276)) % 1.43/1.64 (define @t288 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t272 tptp.nil) (tptp.cons @t271 tptp.nil)) @t270)))) % 1.43/1.64 (define @t289 () (not (tptp.ssList @t270))) % 1.43/1.64 (define @t290 () (not (tptp.ssItem @t271))) % 1.43/1.64 (define @t291 () (not (tptp.ssItem @t272))) % 1.43/1.64 (define @t292 () (not (forall @t209 (or @t208 @t207 @t206 (not (= @t1 @t205)))))) % 1.43/1.64 (define @t293 () (or @t292 @t291 @t290 @t289 @t288)) % 1.43/1.64 (define @t294 () (not @t21)) % 1.43/1.64 (define @t295 () (@list @t1 @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t265 @t264)) % 1.43/1.64 (define @t296 () (or @t211 (forall @t295 (or @t294 (and @t293 @t287))))) % 1.43/1.64 (define @t297 () (or @t280 @t279 @t278 @t277 @t276)) % 1.43/1.64 (define @t298 () (or @t284 @t283 @t282 @t281)) % 1.43/1.64 (define @t299 () (or @t286 @t298 @t297)) % 1.43/1.64 (define @t300 () (or @t291 @t290 @t289 @t288)) % 1.43/1.64 (define @t301 () (or @t292 @t300)) % 1.43/1.64 (define @t302 () (and @t301 @t299)) % 1.43/1.64 (define @t303 () (or @t294 @t302)) % 1.43/1.64 (define @t304 () (forall @t295 @t303)) % 1.43/1.64 (define @t305 () (@list @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t265 @t264)) % 1.43/1.64 (define @t306 () (forall @t305 @t303)) % 1.43/1.64 (define @t307 () (forall (@list @t266 @t265 @t264) @t297)) % 1.43/1.64 (define @t308 () (@var "BOUND_VARIABLE_11642" $$unsorted)) % 1.43/1.64 (define @t309 () (@var "BOUND_VARIABLE_11640" $$unsorted)) % 1.43/1.64 (define @t310 () (@var "BOUND_VARIABLE_11638" $$unsorted)) % 1.43/1.64 (define @t311 () (forall (@list @t269 @t268 @t267) @t298)) % 1.43/1.64 (define @t312 () (@var "BOUND_VARIABLE_11636" $$unsorted)) % 1.43/1.64 (define @t313 () (@var "BOUND_VARIABLE_11634" $$unsorted)) % 1.43/1.64 (define @t314 () (@var "BOUND_VARIABLE_11632" $$unsorted)) % 1.43/1.64 (define @t315 () (or @t286 @t311 @t307)) % 1.43/1.64 (define @t316 () (forall (@list @t269 @t268 @t267 @t266 @t265 @t264) @t299)) % 1.43/1.64 (define @t317 () (forall @t305 @t299)) % 1.43/1.64 (define @t318 () (@list @t272 @t271 @t270)) % 1.43/1.64 (define @t319 () (forall @t318 @t300)) % 1.43/1.64 (define @t320 () (@var "BOUND_VARIABLE_11597" $$unsorted)) % 1.43/1.64 (define @t321 () (@var "BOUND_VARIABLE_11595" $$unsorted)) % 1.43/1.64 (define @t322 () (@var "BOUND_VARIABLE_11593" $$unsorted)) % 1.43/1.64 (define @t323 () (or @t292 @t319)) % 1.43/1.64 (define @t324 () (forall @t318 @t301)) % 1.43/1.64 (define @t325 () (forall @t305 @t301)) % 1.43/1.64 (define @t326 () (and @t325 @t317)) % 1.43/1.64 (define @t327 () (forall @t305 @t302)) % 1.43/1.64 (define @t328 () (or @t294 @t327)) % 1.43/1.64 (define @t329 () (tptp.cons @t310 tptp.nil)) % 1.43/1.64 (define @t330 () (tptp.cons @t309 tptp.nil)) % 1.43/1.64 (define @t331 () (= @t2 (tptp.app (tptp.app @t330 @t308) @t329))) % 1.43/1.64 (define @t332 () (not (= @t1 (tptp.app (tptp.app @t329 @t308) @t330)))) % 1.43/1.64 (define @t333 () (not (tptp.ssList @t308))) % 1.43/1.64 (define @t334 () (not (tptp.ssItem @t309))) % 1.43/1.64 (define @t335 () (not (tptp.ssItem @t310))) % 1.43/1.64 (define @t336 () (or @t335 @t334 @t333 @t332 @t331)) % 1.43/1.64 (define @t337 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t314 tptp.nil) (tptp.cons @t313 tptp.nil)) @t312)))) % 1.43/1.64 (define @t338 () (not (tptp.ssList @t312))) % 1.43/1.64 (define @t339 () (not (tptp.ssItem @t313))) % 1.43/1.64 (define @t340 () (not (tptp.ssItem @t314))) % 1.43/1.64 (define @t341 () (or @t340 @t339 @t338 @t337)) % 1.43/1.64 (define @t342 () (or @t286 (forall (@list @t314 @t313 @t312) @t341) (forall (@list @t310 @t309 @t308) @t336))) % 1.43/1.64 (define @t343 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t322 tptp.nil) (tptp.cons @t321 tptp.nil)) @t320)))) % 1.43/1.64 (define @t344 () (not (tptp.ssList @t320))) % 1.43/1.64 (define @t345 () (not (tptp.ssItem @t321))) % 1.43/1.64 (define @t346 () (not (tptp.ssItem @t322))) % 1.43/1.64 (define @t347 () (or @t346 @t345 @t344 @t343)) % 1.43/1.64 (define @t348 () (@list @t322 @t321 @t320)) % 1.43/1.64 (define @t349 () (or @t292 (forall @t348 @t347))) % 1.43/1.64 (define @t350 () (and @t349 @t342)) % 1.43/1.64 (define @t351 () (or @t294 @t350)) % 1.43/1.64 (define @t352 () (forall @t7 @t351)) % 1.43/1.64 (define @t353 () (or @t211 @t352)) % 1.43/1.64 (define @t354 () (or @t211 @t351)) % 1.43/1.64 (define @t355 () (or @t294 @t211 @t350)) % 1.43/1.64 (define @t356 () (or @t286 @t341 @t336)) % 1.43/1.64 (define @t357 () (@list @t314 @t313 @t312 @t310 @t309 @t308)) % 1.43/1.64 (define @t358 () (or @t286 @t340 @t339 @t338 @t337 @t335 @t334 @t333 @t332 @t331)) % 1.43/1.64 (define @t359 () (forall @t357 @t358)) % 1.43/1.64 (define @t360 () (@var "BOUND_VARIABLE_11630" $$unsorted)) % 1.43/1.64 (define @t361 () (@var "BOUND_VARIABLE_11628" $$unsorted)) % 1.43/1.64 (define @t362 () (@var "BOUND_VARIABLE_11626" $$unsorted)) % 1.43/1.64 (define @t363 () (forall (@list @t362 @t361 @t360 @t314 @t313 @t312 @t310 @t309 @t308) @t358)) % 1.43/1.64 (define @t364 () (or @t292 @t347)) % 1.43/1.64 (define @t365 () (or @t292 @t346 @t345 @t344 @t343)) % 1.43/1.64 (define @t366 () (forall @t348 @t365)) % 1.43/1.64 (define @t367 () (@var "BOUND_VARIABLE_11609" $$unsorted)) % 1.43/1.64 (define @t368 () (@var "BOUND_VARIABLE_11607" $$unsorted)) % 1.43/1.64 (define @t369 () (@var "BOUND_VARIABLE_11605" $$unsorted)) % 1.43/1.64 (define @t370 () (@var "BOUND_VARIABLE_11603" $$unsorted)) % 1.43/1.64 (define @t371 () (@var "BOUND_VARIABLE_11601" $$unsorted)) % 1.43/1.64 (define @t372 () (@var "BOUND_VARIABLE_11599" $$unsorted)) % 1.43/1.64 (define @t373 () (forall (@list @t322 @t321 @t320 @t372 @t371 @t370 @t369 @t368 @t367) @t365)) % 1.43/1.64 (define @t374 () (@var "BOUND_VARIABLE_11545" $$unsorted)) % 1.43/1.64 (define @t375 () (tptp.cons @t374 tptp.nil)) % 1.43/1.64 (define @t376 () (@var "BOUND_VARIABLE_11549" $$unsorted)) % 1.43/1.64 (define @t377 () (@var "BOUND_VARIABLE_11547" $$unsorted)) % 1.43/1.64 (define @t378 () (tptp.cons @t377 tptp.nil)) % 1.43/1.64 (define @t379 () (= @t2 (tptp.app (tptp.app @t378 @t376) @t375))) % 1.43/1.64 (define @t380 () (not (= @t1 (tptp.app (tptp.app @t375 @t376) @t378)))) % 1.43/1.64 (define @t381 () (not (tptp.ssList @t376))) % 1.43/1.64 (define @t382 () (not (tptp.ssItem @t377))) % 1.43/1.64 (define @t383 () (not (tptp.ssItem @t374))) % 1.43/1.64 (define @t384 () (@var "BOUND_VARIABLE_11530" $$unsorted)) % 1.43/1.64 (define @t385 () (@var "BOUND_VARIABLE_11528" $$unsorted)) % 1.43/1.64 (define @t386 () (@var "BOUND_VARIABLE_11526" $$unsorted)) % 1.43/1.64 (define @t387 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t386 tptp.nil) (tptp.cons @t385 tptp.nil)) @t384)))) % 1.43/1.64 (define @t388 () (not (tptp.ssList @t384))) % 1.43/1.64 (define @t389 () (not (tptp.ssItem @t385))) % 1.43/1.64 (define @t390 () (not (tptp.ssItem @t386))) % 1.43/1.64 (define @t391 () (or @t286 @t390 @t389 @t388 @t387 @t383 @t382 @t381 @t380 @t379)) % 1.43/1.64 (define @t392 () (@var "BOUND_VARIABLE_11510" $$unsorted)) % 1.43/1.64 (define @t393 () (@var "BOUND_VARIABLE_11508" $$unsorted)) % 1.43/1.64 (define @t394 () (@var "BOUND_VARIABLE_11506" $$unsorted)) % 1.43/1.64 (define @t395 () (@list @t394 @t393 @t392 @t386 @t385 @t384 @t374 @t377 @t376)) % 1.43/1.64 (define @t396 () (forall @t395 @t391)) % 1.43/1.64 (define @t397 () (@list @t394 @t393 @t392 @t386 @t385 @t384 @t374 @t377 @t376)) % 1.43/1.64 (define @t398 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t394 tptp.nil) (tptp.cons @t393 tptp.nil)) @t392)))) % 1.43/1.64 (define @t399 () (not (tptp.ssList @t392))) % 1.43/1.64 (define @t400 () (not (tptp.ssItem @t393))) % 1.43/1.64 (define @t401 () (not (tptp.ssItem @t394))) % 1.43/1.64 (define @t402 () (or @t292 @t401 @t400 @t399 @t398)) % 1.43/1.64 (define @t403 () (forall @t395 @t402)) % 1.43/1.64 (define @t404 () (and @t403 @t396)) % 1.43/1.64 (define @t405 () (and @t402 @t391)) % 1.43/1.64 (define @t406 () (forall @t395 @t405)) % 1.43/1.64 (define @t407 () (or @t211 @t406)) % 1.43/1.64 (define @t408 () (or @t211 @t405)) % 1.43/1.64 (define @t409 () (not (= @t2 @t2))) % 1.43/1.64 (define @t410 () (or @t211 @t409 @t405)) % 1.43/1.64 (define @t411 () (= @t12 @t190)) % 1.43/1.64 (define @t412 () (not (forall @t195 (or @t194 @t193 @t192 @t411 @t285)))) % 1.43/1.64 (define @t413 () (or @t412 @t390 @t389 @t388 @t387 @t383 @t382 @t381 @t380 @t379)) % 1.43/1.64 (define @t414 () (and @t402 @t413)) % 1.43/1.64 (define @t415 () (not @t15)) % 1.43/1.64 (define @t416 () (or @t156 @t415 @t156 @t414)) % 1.43/1.64 (define @t417 () (or @t415 @t156 @t414)) % 1.43/1.64 (define @t418 () (forall @t16 @t417)) % 1.43/1.64 (define @t419 () (forall @t395 @t418)) % 1.43/1.64 (define @t420 () (forall (@list @t394 @t393 @t392 @t386 @t385 @t384 @t374 @t377 @t376 @t12) @t417)) % 1.43/1.64 (define @t421 () (@list @t12 @t394 @t393 @t392 @t386 @t385 @t384 @t374 @t377 @t376)) % 1.43/1.64 (define @t422 () (or @t383 @t382 @t381 @t380 @t379)) % 1.43/1.64 (define @t423 () (or @t390 @t389 @t388 @t387)) % 1.43/1.64 (define @t424 () (or @t412 @t423 @t422)) % 1.43/1.64 (define @t425 () (or @t401 @t400 @t399 @t398)) % 1.43/1.64 (define @t426 () (or @t292 @t425)) % 1.43/1.64 (define @t427 () (and @t426 @t424)) % 1.43/1.64 (define @t428 () (or @t415 @t156 @t427)) % 1.43/1.64 (define @t429 () (forall @t421 @t428)) % 1.43/1.64 (define @t430 () (forall @t395 @t428)) % 1.43/1.64 (define @t431 () (forall (@list @t374 @t377 @t376) @t422)) % 1.43/1.64 (define @t432 () (@var "BOUND_VARIABLE_11451" $$unsorted)) % 1.43/1.64 (define @t433 () (@var "BOUND_VARIABLE_11449" $$unsorted)) % 1.43/1.64 (define @t434 () (@var "BOUND_VARIABLE_11447" $$unsorted)) % 1.43/1.64 (define @t435 () (forall (@list @t386 @t385 @t384) @t423)) % 1.43/1.64 (define @t436 () (@var "BOUND_VARIABLE_11445" $$unsorted)) % 1.43/1.64 (define @t437 () (@var "BOUND_VARIABLE_11443" $$unsorted)) % 1.43/1.64 (define @t438 () (@var "BOUND_VARIABLE_11441" $$unsorted)) % 1.43/1.64 (define @t439 () (or @t412 @t435 @t431)) % 1.43/1.64 (define @t440 () (forall (@list @t386 @t385 @t384 @t374 @t377 @t376) @t424)) % 1.43/1.64 (define @t441 () (forall @t395 @t424)) % 1.43/1.64 (define @t442 () (@list @t394 @t393 @t392)) % 1.43/1.64 (define @t443 () (forall @t442 @t425)) % 1.43/1.64 (define @t444 () (@var "BOUND_VARIABLE_11406" $$unsorted)) % 1.43/1.64 (define @t445 () (@var "BOUND_VARIABLE_11404" $$unsorted)) % 1.43/1.64 (define @t446 () (@var "BOUND_VARIABLE_11402" $$unsorted)) % 1.43/1.64 (define @t447 () (or @t292 @t443)) % 1.43/1.64 (define @t448 () (forall @t442 @t426)) % 1.43/1.64 (define @t449 () (forall @t395 @t426)) % 1.43/1.64 (define @t450 () (and @t449 @t441)) % 1.43/1.64 (define @t451 () (forall @t395 @t427)) % 1.43/1.64 (define @t452 () (or @t415 @t156 @t451)) % 1.43/1.64 (define @t453 () (tptp.cons @t434 tptp.nil)) % 1.43/1.64 (define @t454 () (tptp.cons @t433 tptp.nil)) % 1.43/1.64 (define @t455 () (= @t2 (tptp.app (tptp.app @t454 @t432) @t453))) % 1.43/1.64 (define @t456 () (not (= @t1 (tptp.app (tptp.app @t453 @t432) @t454)))) % 1.43/1.64 (define @t457 () (not (tptp.ssList @t432))) % 1.43/1.64 (define @t458 () (not (tptp.ssItem @t433))) % 1.43/1.64 (define @t459 () (not (tptp.ssItem @t434))) % 1.43/1.64 (define @t460 () (or @t459 @t458 @t457 @t456 @t455)) % 1.43/1.64 (define @t461 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t438 tptp.nil) (tptp.cons @t437 tptp.nil)) @t436)))) % 1.43/1.64 (define @t462 () (not (tptp.ssList @t436))) % 1.43/1.64 (define @t463 () (not (tptp.ssItem @t437))) % 1.43/1.64 (define @t464 () (not (tptp.ssItem @t438))) % 1.43/1.64 (define @t465 () (or @t464 @t463 @t462 @t461)) % 1.43/1.64 (define @t466 () (or @t412 (forall (@list @t438 @t437 @t436) @t465) (forall (@list @t434 @t433 @t432) @t460))) % 1.43/1.64 (define @t467 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t446 tptp.nil) (tptp.cons @t445 tptp.nil)) @t444)))) % 1.43/1.64 (define @t468 () (not (tptp.ssList @t444))) % 1.43/1.64 (define @t469 () (not (tptp.ssItem @t445))) % 1.43/1.64 (define @t470 () (not (tptp.ssItem @t446))) % 1.43/1.64 (define @t471 () (or @t470 @t469 @t468 @t467)) % 1.43/1.64 (define @t472 () (@list @t446 @t445 @t444)) % 1.43/1.64 (define @t473 () (or @t292 (forall @t472 @t471))) % 1.43/1.64 (define @t474 () (and @t473 @t466)) % 1.43/1.64 (define @t475 () (or @t415 @t156 @t474)) % 1.43/1.64 (define @t476 () (forall @t16 @t475)) % 1.43/1.64 (define @t477 () (or @t294 @t476)) % 1.43/1.64 (define @t478 () (or @t294 @t475)) % 1.43/1.64 (define @t479 () (or @t415 @t156 @t294 @t474)) % 1.43/1.64 (define @t480 () (or @t156 @t294 @t474)) % 1.43/1.64 (define @t481 () (or @t412 @t465 @t460)) % 1.43/1.64 (define @t482 () (@list @t438 @t437 @t436 @t434 @t433 @t432)) % 1.43/1.64 (define @t483 () (or @t412 @t464 @t463 @t462 @t461 @t459 @t458 @t457 @t456 @t455)) % 1.43/1.64 (define @t484 () (forall @t482 @t483)) % 1.43/1.64 (define @t485 () (@var "BOUND_VARIABLE_11439" $$unsorted)) % 1.43/1.64 (define @t486 () (@var "BOUND_VARIABLE_11437" $$unsorted)) % 1.43/1.64 (define @t487 () (@var "BOUND_VARIABLE_11435" $$unsorted)) % 1.43/1.64 (define @t488 () (forall (@list @t487 @t486 @t485 @t438 @t437 @t436 @t434 @t433 @t432) @t483)) % 1.43/1.64 (define @t489 () (or @t292 @t471)) % 1.43/1.64 (define @t490 () (or @t292 @t470 @t469 @t468 @t467)) % 1.43/1.64 (define @t491 () (forall @t472 @t490)) % 1.43/1.64 (define @t492 () (@var "BOUND_VARIABLE_11418" $$unsorted)) % 1.43/1.64 (define @t493 () (@var "BOUND_VARIABLE_11416" $$unsorted)) % 1.43/1.64 (define @t494 () (@var "BOUND_VARIABLE_11414" $$unsorted)) % 1.43/1.64 (define @t495 () (@var "BOUND_VARIABLE_11412" $$unsorted)) % 1.43/1.64 (define @t496 () (@var "BOUND_VARIABLE_11410" $$unsorted)) % 1.43/1.64 (define @t497 () (@var "BOUND_VARIABLE_11408" $$unsorted)) % 1.43/1.64 (define @t498 () (forall (@list @t446 @t445 @t444 @t497 @t496 @t495 @t494 @t493 @t492) @t490)) % 1.43/1.64 (define @t499 () (@var "BOUND_VARIABLE_11349" $$unsorted)) % 1.43/1.64 (define @t500 () (tptp.cons @t499 tptp.nil)) % 1.43/1.64 (define @t501 () (@var "BOUND_VARIABLE_11353" $$unsorted)) % 1.43/1.64 (define @t502 () (@var "BOUND_VARIABLE_11351" $$unsorted)) % 1.43/1.64 (define @t503 () (tptp.cons @t502 tptp.nil)) % 1.43/1.64 (define @t504 () (= @t2 (tptp.app (tptp.app @t503 @t501) @t500))) % 1.43/1.64 (define @t505 () (not (= @t1 (tptp.app (tptp.app @t500 @t501) @t503)))) % 1.43/1.64 (define @t506 () (not (tptp.ssList @t501))) % 1.43/1.64 (define @t507 () (not (tptp.ssItem @t502))) % 1.43/1.64 (define @t508 () (not (tptp.ssItem @t499))) % 1.43/1.64 (define @t509 () (@var "BOUND_VARIABLE_11334" $$unsorted)) % 1.43/1.64 (define @t510 () (@var "BOUND_VARIABLE_11332" $$unsorted)) % 1.43/1.64 (define @t511 () (@var "BOUND_VARIABLE_11330" $$unsorted)) % 1.43/1.64 (define @t512 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t511 tptp.nil) (tptp.cons @t510 tptp.nil)) @t509)))) % 1.43/1.64 (define @t513 () (not (tptp.ssList @t509))) % 1.43/1.64 (define @t514 () (not (tptp.ssItem @t510))) % 1.43/1.64 (define @t515 () (not (tptp.ssItem @t511))) % 1.43/1.64 (define @t516 () (or @t412 @t515 @t514 @t513 @t512 @t508 @t507 @t506 @t505 @t504)) % 1.43/1.64 (define @t517 () (@var "BOUND_VARIABLE_11314" $$unsorted)) % 1.43/1.64 (define @t518 () (@var "BOUND_VARIABLE_11312" $$unsorted)) % 1.43/1.64 (define @t519 () (@var "BOUND_VARIABLE_11310" $$unsorted)) % 1.43/1.64 (define @t520 () (@list @t519 @t518 @t517 @t511 @t510 @t509 @t499 @t502 @t501)) % 1.43/1.64 (define @t521 () (forall @t520 @t516)) % 1.43/1.64 (define @t522 () (@list @t519 @t518 @t517 @t511 @t510 @t509 @t499 @t502 @t501)) % 1.43/1.64 (define @t523 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t519 tptp.nil) (tptp.cons @t518 tptp.nil)) @t517)))) % 1.43/1.64 (define @t524 () (not (tptp.ssList @t517))) % 1.43/1.64 (define @t525 () (not (tptp.ssItem @t518))) % 1.43/1.64 (define @t526 () (not (tptp.ssItem @t519))) % 1.43/1.64 (define @t527 () (or @t292 @t526 @t525 @t524 @t523)) % 1.43/1.64 (define @t528 () (forall @t520 @t527)) % 1.43/1.64 (define @t529 () (and @t528 @t521)) % 1.43/1.64 (define @t530 () (and @t527 @t516)) % 1.43/1.64 (define @t531 () (forall @t520 @t530)) % 1.43/1.64 (define @t532 () (or @t294 @t531)) % 1.43/1.64 (define @t533 () (or @t294 @t530)) % 1.43/1.64 (define @t534 () (not (= @t1 @t1))) % 1.43/1.64 (define @t535 () (or @t294 @t534 @t530)) % 1.43/1.64 (define @t536 () (not (= @t10 @t189))) % 1.43/1.64 (define @t537 () (or @t194 @t193 @t192 @t411 @t536)) % 1.43/1.64 (define @t538 () (not (forall @t195 @t537))) % 1.43/1.64 (define @t539 () (or @t538 @t515 @t514 @t513 @t512 @t508 @t507 @t506 @t505 @t504)) % 1.43/1.64 (define @t540 () (not (= @t10 @t205))) % 1.43/1.64 (define @t541 () (or @t208 @t207 @t206 @t540)) % 1.43/1.64 (define @t542 () (not (forall @t209 @t541))) % 1.43/1.64 (define @t543 () (or @t542 @t526 @t525 @t524 @t523)) % 1.43/1.64 (define @t544 () (and @t543 @t539)) % 1.43/1.64 (define @t545 () (or @t157 @t158 @t157 @t544)) % 1.43/1.64 (define @t546 () (or @t158 @t157 @t544)) % 1.43/1.64 (define @t547 () (forall @t14 @t546)) % 1.43/1.64 (define @t548 () (forall @t520 @t547)) % 1.43/1.64 (define @t549 () (forall (@list @t519 @t518 @t517 @t511 @t510 @t509 @t499 @t502 @t501 @t10) @t546)) % 1.43/1.64 (define @t550 () (@list @t10 @t519 @t518 @t517 @t511 @t510 @t509 @t499 @t502 @t501)) % 1.43/1.64 (define @t551 () (or @t508 @t507 @t506 @t505 @t504)) % 1.43/1.64 (define @t552 () (or @t515 @t514 @t513 @t512)) % 1.43/1.64 (define @t553 () (or @t538 @t552 @t551)) % 1.43/1.64 (define @t554 () (or @t526 @t525 @t524 @t523)) % 1.43/1.64 (define @t555 () (or @t542 @t554)) % 1.43/1.64 (define @t556 () (and @t555 @t553)) % 1.43/1.64 (define @t557 () (or @t158 @t157 @t556)) % 1.43/1.64 (define @t558 () (forall @t550 @t557)) % 1.43/1.64 (define @t559 () (forall @t520 @t557)) % 1.43/1.64 (define @t560 () (forall (@list @t499 @t502 @t501) @t551)) % 1.43/1.64 (define @t561 () (@var "BOUND_VARIABLE_11283" $$unsorted)) % 1.43/1.64 (define @t562 () (@var "BOUND_VARIABLE_11281" $$unsorted)) % 1.43/1.64 (define @t563 () (forall (@list @t511 @t510 @t509) @t552)) % 1.43/1.64 (define @t564 () (@var "BOUND_VARIABLE_11232" $$unsorted)) % 1.43/1.64 (define @t565 () (@var "BOUND_VARIABLE_11230" $$unsorted)) % 1.43/1.64 (define @t566 () (or @t538 @t563 @t560)) % 1.43/1.64 (define @t567 () (forall (@list @t511 @t510 @t509 @t499 @t502 @t501) @t553)) % 1.43/1.64 (define @t568 () (forall @t520 @t553)) % 1.43/1.64 (define @t569 () (@list @t519 @t518 @t517)) % 1.43/1.64 (define @t570 () (forall @t569 @t554)) % 1.43/1.64 (define @t571 () (@var "BOUND_VARIABLE_11112" $$unsorted)) % 1.43/1.64 (define @t572 () (@var "BOUND_VARIABLE_11110" $$unsorted)) % 1.43/1.64 (define @t573 () (or @t542 @t570)) % 1.43/1.64 (define @t574 () (forall @t569 @t555)) % 1.43/1.64 (define @t575 () (forall @t520 @t555)) % 1.43/1.64 (define @t576 () (and @t575 @t568)) % 1.43/1.64 (define @t577 () (forall @t520 @t556)) % 1.43/1.64 (define @t578 () (or @t158 @t157 @t577)) % 1.43/1.64 (define @t579 () (tptp.cons @t562 tptp.nil)) % 1.43/1.64 (define @t580 () (= @t2 (tptp.app (tptp.app @t579 @t561) @t62))) % 1.43/1.64 (define @t581 () (not (= @t1 (tptp.app (tptp.app @t62 @t561) @t579)))) % 1.43/1.64 (define @t582 () (not (tptp.ssList @t561))) % 1.43/1.64 (define @t583 () (not (tptp.ssItem @t562))) % 1.43/1.64 (define @t584 () (not @t77)) % 1.43/1.64 (define @t585 () (or @t584 @t583 @t582 @t581 @t580)) % 1.43/1.64 (define @t586 () (@list @t61 @t562 @t561)) % 1.43/1.64 (define @t587 () (not (= @t1 (tptp.app (tptp.app @t84 (tptp.cons @t565 tptp.nil)) @t564)))) % 1.43/1.64 (define @t588 () (not (tptp.ssList @t564))) % 1.43/1.64 (define @t589 () (not (tptp.ssItem @t565))) % 1.43/1.64 (define @t590 () (not @t96)) % 1.43/1.64 (define @t591 () (or @t590 @t589 @t588 @t587)) % 1.43/1.64 (define @t592 () (@list @t83 @t565 @t564)) % 1.43/1.64 (define @t593 () (not (= @t1 (tptp.app (tptp.app @t124 (tptp.cons @t572 tptp.nil)) @t571)))) % 1.43/1.64 (define @t594 () (not (tptp.ssList @t571))) % 1.43/1.64 (define @t595 () (not (tptp.ssItem @t572))) % 1.43/1.64 (define @t596 () (not @t136)) % 1.43/1.64 (define @t597 () (or @t596 @t595 @t594 @t593)) % 1.43/1.64 (define @t598 () (@list @t123 @t572 @t571)) % 1.43/1.64 (define @t599 () (and (or @t542 (forall @t598 @t597)) (or @t538 (forall @t592 @t591) (forall @t586 @t585)))) % 1.43/1.64 (define @t600 () (or @t158 @t157 @t599)) % 1.43/1.64 (define @t601 () (forall @t14 @t600)) % 1.43/1.64 (define @t602 () (or @t156 @t601)) % 1.43/1.64 (define @t603 () (or @t156 @t600)) % 1.43/1.64 (define @t604 () (or @t158 @t157 @t156 @t599)) % 1.43/1.64 (define @t605 () (or @t583 @t582 @t581 @t580)) % 1.43/1.64 (define @t606 () (or @t584 @t605)) % 1.43/1.64 (define @t607 () (forall @t586 @t606)) % 1.43/1.64 (define @t608 () (@list @t562 @t561)) % 1.43/1.64 (define @t609 () (forall @t608 @t606)) % 1.43/1.64 (define @t610 () (forall @t608 @t605)) % 1.43/1.64 (define @t611 () (@var "BOUND_VARIABLE_11259" $$unsorted)) % 1.43/1.64 (define @t612 () (or @t584 @t610)) % 1.43/1.64 (define @t613 () (= @t2 (tptp.app (tptp.app @t65 @t611) @t62))) % 1.43/1.64 (define @t614 () (not (= @t1 (tptp.app (tptp.app @t62 @t611) @t65)))) % 1.43/1.64 (define @t615 () (not (tptp.ssList @t611))) % 1.43/1.64 (define @t616 () (not @t73)) % 1.43/1.64 (define @t617 () (or @t616 @t615 @t614 @t613)) % 1.43/1.64 (define @t618 () (@list @t64 @t611)) % 1.43/1.64 (define @t619 () (forall @t618 @t617)) % 1.43/1.64 (define @t620 () (or @t615 @t614 @t613)) % 1.43/1.64 (define @t621 () (or @t616 @t620)) % 1.43/1.64 (define @t622 () (forall @t618 @t621)) % 1.43/1.64 (define @t623 () (@list @t611)) % 1.43/1.64 (define @t624 () (forall @t623 @t621)) % 1.43/1.64 (define @t625 () (forall @t623 @t620)) % 1.43/1.64 (define @t626 () (or @t616 @t625)) % 1.43/1.64 (define @t627 () (forall @t71 (or @t69 (not (= @t1 @t67)) (= @t2 @t66)))) % 1.43/1.64 (define @t628 () (or @t589 @t588 @t587)) % 1.43/1.64 (define @t629 () (or @t590 @t628)) % 1.43/1.64 (define @t630 () (forall @t592 @t629)) % 1.43/1.64 (define @t631 () (@list @t565 @t564)) % 1.43/1.64 (define @t632 () (forall @t631 @t629)) % 1.43/1.64 (define @t633 () (forall @t631 @t628)) % 1.43/1.64 (define @t634 () (@var "BOUND_VARIABLE_11212" $$unsorted)) % 1.43/1.64 (define @t635 () (or @t590 @t633)) % 1.43/1.64 (define @t636 () (not (= @t1 (tptp.app @t85 @t634)))) % 1.43/1.64 (define @t637 () (not (tptp.ssList @t634))) % 1.43/1.64 (define @t638 () (not @t92)) % 1.43/1.64 (define @t639 () (or @t638 @t637 @t636)) % 1.43/1.64 (define @t640 () (@list @t82 @t634)) % 1.43/1.64 (define @t641 () (forall @t640 @t639)) % 1.43/1.64 (define @t642 () (or @t637 @t636)) % 1.43/1.64 (define @t643 () (or @t638 @t642)) % 1.43/1.64 (define @t644 () (forall @t640 @t643)) % 1.43/1.64 (define @t645 () (@list @t634)) % 1.43/1.64 (define @t646 () (forall @t645 @t643)) % 1.43/1.64 (define @t647 () (forall @t645 @t642)) % 1.43/1.64 (define @t648 () (or @t638 @t647)) % 1.43/1.64 (define @t649 () (not (= @t1 @t86))) % 1.43/1.64 (define @t650 () (forall @t90 (or (not @t88) @t649))) % 1.43/1.64 (define @t651 () (or @t193 @t192 @t411 @t536)) % 1.43/1.64 (define @t652 () (or @t194 @t651)) % 1.43/1.64 (define @t653 () (forall @t195 @t652)) % 1.43/1.64 (define @t654 () (@list @t186 @t188)) % 1.43/1.64 (define @t655 () (forall @t654 @t652)) % 1.43/1.64 (define @t656 () (forall @t654 @t651)) % 1.43/1.64 (define @t657 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 1.43/1.64 (define @t658 () (or @t194 @t656)) % 1.43/1.64 (define @t659 () (not (= @t10 (tptp.app (tptp.app @t104 @t657) @t101)))) % 1.43/1.64 (define @t660 () (= @t12 (tptp.app (tptp.app @t101 @t657) @t104))) % 1.43/1.64 (define @t661 () (not (tptp.ssList @t657))) % 1.43/1.64 (define @t662 () (not @t112)) % 1.43/1.64 (define @t663 () (or @t662 @t661 @t660 @t659)) % 1.43/1.64 (define @t664 () (@list @t100 @t657)) % 1.43/1.64 (define @t665 () (forall @t664 @t663)) % 1.43/1.64 (define @t666 () (not @t665)) % 1.43/1.64 (define @t667 () (and @t116 @t666)) % 1.43/1.64 (define @t668 () (forall @t118 (not @t667))) % 1.43/1.64 (define @t669 () (not @t668)) % 1.43/1.64 (define @t670 () (or @t661 @t660 @t659)) % 1.43/1.64 (define @t671 () (or @t662 @t670)) % 1.43/1.64 (define @t672 () (forall @t664 @t671)) % 1.43/1.64 (define @t673 () (@list @t657)) % 1.43/1.64 (define @t674 () (forall @t673 @t671)) % 1.43/1.64 (define @t675 () (forall @t673 @t670)) % 1.43/1.64 (define @t676 () (or @t662 @t675)) % 1.43/1.64 (define @t677 () (= @t10 @t105)) % 1.43/1.64 (define @t678 () (not @t677)) % 1.43/1.64 (define @t679 () (= @t12 @t106)) % 1.43/1.64 (define @t680 () (not @t108)) % 1.43/1.64 (define @t681 () (forall @t110 (or @t680 @t679 @t678))) % 1.43/1.64 (define @t682 () (not @t681)) % 1.43/1.64 (define @t683 () (and @t112 @t682)) % 1.43/1.64 (define @t684 () (forall @t114 (not @t683))) % 1.43/1.64 (define @t685 () (not @t684)) % 1.43/1.64 (define @t686 () (not @t679)) % 1.43/1.64 (define @t687 () (not @t686)) % 1.43/1.64 (define @t688 () (or @t680 @t687 @t678)) % 1.43/1.64 (define @t689 () (and @t108 @t686 @t677)) % 1.43/1.64 (define @t690 () (forall @t110 (not @t689))) % 1.43/1.64 (define @t691 () (not @t690)) % 1.43/1.64 (define @t692 () (or @t595 @t594 @t593)) % 1.43/1.64 (define @t693 () (or @t596 @t692)) % 1.43/1.64 (define @t694 () (forall @t598 @t693)) % 1.43/1.64 (define @t695 () (@list @t572 @t571)) % 1.43/1.64 (define @t696 () (forall @t695 @t693)) % 1.43/1.64 (define @t697 () (forall @t695 @t692)) % 1.43/1.64 (define @t698 () (@var "BOUND_VARIABLE_11092" $$unsorted)) % 1.43/1.64 (define @t699 () (or @t596 @t697)) % 1.43/1.64 (define @t700 () (not (= @t1 (tptp.app @t125 @t698)))) % 1.43/1.64 (define @t701 () (not (tptp.ssList @t698))) % 1.43/1.64 (define @t702 () (not @t132)) % 1.43/1.64 (define @t703 () (or @t702 @t701 @t700)) % 1.43/1.64 (define @t704 () (@list @t122 @t698)) % 1.43/1.64 (define @t705 () (forall @t704 @t703)) % 1.43/1.64 (define @t706 () (or @t701 @t700)) % 1.43/1.64 (define @t707 () (or @t702 @t706)) % 1.43/1.64 (define @t708 () (forall @t704 @t707)) % 1.43/1.64 (define @t709 () (@list @t698)) % 1.43/1.64 (define @t710 () (forall @t709 @t707)) % 1.43/1.64 (define @t711 () (forall @t709 @t706)) % 1.43/1.64 (define @t712 () (or @t702 @t711)) % 1.43/1.64 (define @t713 () (not (= @t1 @t126))) % 1.43/1.64 (define @t714 () (forall @t130 (or (not @t128) @t713))) % 1.43/1.64 (define @t715 () (or @t207 @t206 @t540)) % 1.43/1.64 (define @t716 () (or @t208 @t715)) % 1.43/1.64 (define @t717 () (forall @t209 @t716)) % 1.43/1.64 (define @t718 () (@list @t204 @t203)) % 1.43/1.64 (define @t719 () (forall @t718 @t716)) % 1.43/1.64 (define @t720 () (forall @t718 @t715)) % 1.43/1.64 (define @t721 () (@var "BOUND_VARIABLE_11038" $$unsorted)) % 1.43/1.64 (define @t722 () (or @t208 @t720)) % 1.43/1.64 (define @t723 () (not (= @t10 (tptp.app @t142 @t721)))) % 1.43/1.64 (define @t724 () (not (tptp.ssList @t721))) % 1.43/1.64 (define @t725 () (not @t148)) % 1.43/1.64 (define @t726 () (or @t725 @t724 @t723)) % 1.43/1.64 (define @t727 () (@list @t27 @t721)) % 1.43/1.64 (define @t728 () (forall @t727 @t726)) % 1.43/1.64 (define @t729 () (not @t728)) % 1.43/1.64 (define @t730 () (and @t151 @t729)) % 1.43/1.64 (define @t731 () (forall @t33 (not @t730))) % 1.43/1.64 (define @t732 () (not @t731)) % 1.43/1.64 (define @t733 () (or @t724 @t723)) % 1.43/1.64 (define @t734 () (or @t725 @t733)) % 1.43/1.64 (define @t735 () (forall @t727 @t734)) % 1.43/1.64 (define @t736 () (@list @t721)) % 1.43/1.64 (define @t737 () (forall @t736 @t734)) % 1.43/1.64 (define @t738 () (forall @t736 @t733)) % 1.43/1.64 (define @t739 () (or @t725 @t738)) % 1.43/1.64 (define @t740 () (= @t10 @t143)) % 1.43/1.64 (define @t741 () (forall @t146 (or (not @t144) (not @t740)))) % 1.43/1.64 (define @t742 () (not @t741)) % 1.43/1.64 (define @t743 () (and @t148 @t742)) % 1.43/1.64 (define @t744 () (forall @t31 (not @t743))) % 1.43/1.64 (define @t745 () (not @t744)) % 1.43/1.64 (define @t746 () (and @t144 @t740)) % 1.43/1.64 (define @t747 () (forall @t146 (not @t746))) % 1.43/1.64 (define @t748 () (not @t747)) % 1.43/1.64 (define @t749 () (@quantifiers_skolemize @t213 4)) % 1.43/1.64 (define @t750 () (@quantifiers_skolemize @t213 3)) % 1.43/1.64 (define @t751 () (@quantifiers_skolemize @t213 2)) % 1.43/1.64 (define @t752 () (tptp.app (tptp.app (tptp.cons @t751 tptp.nil) (tptp.cons @t750 tptp.nil)) @t749)) % 1.43/1.64 (define @t753 () (= @t214 @t752)) % 1.43/1.64 (define @t754 () (not @t753)) % 1.43/1.64 (define @t755 () (tptp.ssList @t749)) % 1.43/1.64 (define @t756 () (not @t755)) % 1.43/1.64 (define @t757 () (tptp.ssItem @t750)) % 1.43/1.64 (define @t758 () (not @t757)) % 1.43/1.64 (define @t759 () (tptp.ssItem @t751)) % 1.43/1.64 (define @t760 () (not @t759)) % 1.43/1.64 (define @t761 () (forall @t209 (or @t208 @t207 @t206 (not (= @t205 @t214))))) % 1.43/1.64 (define @t762 () (not @t761)) % 1.43/1.64 (define @t763 () (or @t762 @t760 @t758 @t756 @t754)) % 1.43/1.64 (define @t764 () (and @t763 @t242)) % 1.43/1.64 (define @t765 () (not (tptp.ssList @t214))) % 1.43/1.64 (define @t766 () (not (tptp.ssList @t216))) % 1.43/1.64 (define @t767 () (or @t766 @t765 @t764)) % 1.43/1.64 (define @t768 () (not @t767)) % 1.43/1.64 (define @t769 () (not @t213)) % 1.43/1.64 (define @t770 () (or @t194 @t193 @t192 (= @t216 @t190) @t215)) % 1.43/1.64 (define @t771 () (forall @t195 @t770)) % 1.43/1.64 (define @t772 () (not @t771)) % 1.43/1.64 (define @t773 () (or @t772 @t240 @t239 @t238 @t237 @t233 @t231 @t229 @t227 @t224)) % 1.43/1.64 (define @t774 () (and @t763 @t773)) % 1.43/1.64 (define @t775 () (or @t766 @t765 @t774)) % 1.43/1.64 (define @t776 () (not @t775)) % 1.43/1.64 (define @t777 () (@list true)) % 1.43/1.64 (define @t778 () (@list true false)) % 1.43/1.64 (define @t779 () (@list @t763)) % 1.43/1.64 (define @t780 () (or @t760 @t758 @t756 @t754)) % 1.43/1.64 (define @t781 () (not @t780)) % 1.43/1.64 (define @t782 () (not (= @t752 @t214))) % 1.43/1.64 (define @t783 () (or @t760 @t758 @t756 @t782)) % 1.43/1.64 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.43/1.64 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.43/1.64 (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))))))))))) % 1.43/1.64 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.43/1.64 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.43/1.64 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.43/1.64 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 1.43/1.64 (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))))))))))))))))) % 1.43/1.64 (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)))))))))))))))) % 1.43/1.64 (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))))))))))))))))) % 1.43/1.64 (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))))))))))))))) % 1.43/1.64 (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))))))))))))))) % 1.43/1.64 (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)))))))))))))))) % 1.43/1.64 (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))))))))))))) % 1.43/1.64 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 1.43/1.64 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 1.43/1.64 (assume @p17 (tptp.ssList tptp.nil)) % 1.43/1.64 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 1.43/1.64 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t38))))))))))) % 1.43/1.64 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 1.43/1.64 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 1.43/1.64 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 1.43/1.64 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 1.43/1.64 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 1.43/1.64 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 1.43/1.64 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 1.43/1.64 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 1.43/1.64 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.43/1.64 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 1.43/1.64 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 1.43/1.64 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.43/1.64 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 1.43/1.64 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 1.43/1.64 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 1.43/1.64 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 1.43/1.64 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 1.43/1.64 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 1.43/1.64 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.43/1.64 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.43/1.64 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.43/1.64 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.43/1.64 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.43/1.64 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.43/1.64 (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)))))))))))) % 1.43/1.64 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.43/1.64 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 1.43/1.64 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.43/1.64 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.43/1.64 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.43/1.64 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 1.43/1.64 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.43/1.64 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 1.43/1.64 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.43/1.64 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 1.43/1.64 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 1.43/1.64 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 1.43/1.64 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.43/1.64 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 1.43/1.64 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 1.43/1.64 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.43/1.64 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 1.43/1.64 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.43/1.64 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 1.43/1.64 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.43/1.64 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 1.43/1.64 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.43/1.64 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 1.43/1.64 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 1.43/1.64 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.43/1.64 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 1.43/1.64 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 1.43/1.64 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.43/1.64 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 1.43/1.64 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.43/1.64 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 1.43/1.64 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 1.43/1.64 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 1.43/1.64 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 1.43/1.64 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 1.43/1.64 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 1.43/1.64 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 1.43/1.64 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 1.43/1.64 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 1.43/1.64 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.43/1.64 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 1.43/1.64 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 1.43/1.64 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 1.43/1.64 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.43/1.64 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.43/1.64 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.43/1.64 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 1.43/1.64 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 1.43/1.64 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 1.43/1.64 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 1.43/1.64 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.43/1.64 (assume @p96 @t167) % 1.43/1.64 (assume @p97 true) % 1.43/1.64 (step @p98 :rule bool-double-not-elim :args (@t217)) % 1.43/1.64 (step @p99 :rule refl :args (@t242)) % 1.43/1.64 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t242 (not @t241)))) % 1.43/1.64 (step @p101 :rule cnf_or_neg :args (@t242 0)) % 1.43/1.64 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 1.43/1.64 (step @p103 :rule reordering :premises (@p102) :args ((or @t217 @t242))) % 1.43/1.64 (step @p104 :rule bool-double-not-elim :args (@t232)) % 1.43/1.64 (step @p105 :rule nary_cong :premises (@p99 @p104) :args ((or @t242 (not @t233)))) % 1.43/1.64 (step @p106 :rule cnf_or_neg :args (@t242 5)) % 1.43/1.64 (step @p107 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:rule chain_m_resolution :premises (@p761 @p744) :args (@t755 @t777 @t779)) % 1.43/1.65 (step @p763 :rule bool-double-not-elim :args (@t757)) % 1.43/1.65 (step @p764 :rule nary_cong :premises (@p725 @p763) :args ((or @t763 (not @t758)))) % 1.43/1.65 (step @p765 :rule cnf_or_neg :args (@t763 2)) % 1.43/1.65 (step @p766 :rule eq_resolve :premises (@p765 @p764)) % 1.43/1.65 (step @p767 :rule reordering :premises (@p766) :args ((or @t757 @t763))) % 1.43/1.65 (step @p768 :rule chain_m_resolution :premises (@p767 @p744) :args (@t757 @t777 @t779)) % 1.43/1.65 (step @p769 :rule bool-double-not-elim :args (@t759)) % 1.43/1.65 (step @p770 :rule nary_cong :premises (@p725 @p769) :args ((or @t763 (not @t760)))) % 1.43/1.65 (step @p771 :rule cnf_or_neg :args (@t763 1)) % 1.43/1.65 (step @p772 :rule eq_resolve :premises (@p771 @p770)) % 1.43/1.65 (step @p773 :rule reordering :premises (@p772) :args ((or @t759 @t763))) % 1.43/1.65 (step @p774 :rule chain_m_resolution :premises (@p773 @p744) :args (@t759 @t777 @t779)) % 1.43/1.65 (step @p775 :rule cnf_or_pos :args (@t780)) % 1.43/1.65 (step @p776 :rule reordering :premises (@p775) :args ((or @t760 @t758 @t756 @t754 @t781))) % 1.43/1.65 (step @p777 :rule chain_m_resolution :premises (@p776 @p774 @p768 @p762 @p756) :args (@t781 (@list false false false false) (@list @t759 @t757 @t755 @t753))) % 1.43/1.65 (step @p778 :rule eq-symm :args (@t752 @t214)) % 1.43/1.65 (step @p779 :rule cong :premises (@p778) :args (@t782)) % 1.43/1.65 (step @p780 :rule refl :args (@t756)) % 1.43/1.65 (step @p781 :rule refl :args (@t758)) % 1.43/1.65 (step @p782 :rule refl :args (@t760)) % 1.43/1.65 (step @p783 :rule nary_cong :premises (@p782 @p781 @p780 @p779) :args (@t783)) % 1.43/1.65 (step @p784 :rule refl :args (@t761)) % 1.43/1.65 (step @p785 :rule cong :premises (@p784 @p783) :args ((=> @t761 @t783))) % 1.43/1.65 (assume-push @p797 @t761) % 1.43/1.65 (step @p787 :rule instantiate :premises (@p797) :args ((@list @t751 @t750 @t749))) % 1.43/1.65 (step-pop @p798 :rule scope :premises (@p787)) % 1.43/1.65 (step @p788 :rule process_scope :premises (@p798) :args (@t783)) % 1.43/1.65 (step @p790 :rule eq_resolve :premises (@p788 @p785)) % 1.43/1.65 (step @p791 :rule implies_elim :premises (@p790)) % 1.43/1.65 (step @p792 false :rule chain_m_resolution :premises (@p791 @p777 @p750) :args (false @t778 (@list @t780 @t761))) % 1.43/1.65 ) % 1.43/1.65 % SZS output end Proof % 1.43/1.65 % cvc5 exiting %------------------------------------------------------------------------------